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Z
mZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZm Z m!Z!m"Z"m#Z#m$Z$m%Z%m&Z&m'Z'm(Z(m)Z)m*Z*m+Z+m,Z,m-Z-m.Z.m/Z/m0Z0m1Z1m2Z2m3Z3m4Z4m5Z5m6Z6m7Z7m8Z8m9Z9m:Z:m;Z;m<Z<m=Z=m>Z>m?Z?m@Z@mAZAmBZBmCZCmDZDmEZEmFZFmGZGmHZHmIZImJZJmKZKmLZLmMZMmNZNmOZOmPZPmQZQmRZRmSZSmTZTmUZUmVZVmWZWmXZXmYZYmZZZm[Z[m\Z\m]Z]m^Z^m_Z_m`Z`maZambZbmcZcmdZdmeZemfZfmgZgmhZhmiZimjZjmkZkmlZlmmZmmnZnmoZompZpmqZqmrZrmsZsmtZtmuZumvZvmwZwmxZxmyZymzZzm{Z{m|Z|m}Z}m~Z~mZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZm Z mZmZmZmZmZmZmZmZm	Z	m
Z
mZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZm Z m!Z!m"Z"m#Z#m$Z$m%Z%m&Z&m'Z'm(Z(m)Z)m*Z*m+Z+m,Z,m-Z-m.Z.m/Z/m0Z0m1Z1m2Z2m3Z3m4Z4m5Z5m6Z6m7Z7m8Z8m9Z9m:Z:m;Z;m<Z<m=Z=m>Z>m?Z?m@Z@mAZAmBZBmCZCmDZDmEZEmFZFmGZGmHZHmIZImJZJmKZKmLZLmMZMmNZNmOZOmPZPmQZQmRZRmSZSmTZTmUZUmVZVmWZWmXZXmYZYmZZZm[Z[m\Z\m]Z]m^Z^m_Z_m`Z`maZambZbmcZcmdZdmeZemfZfmgZgmhZhmiZimjZjmkZkmlZlmmZmmnZnmoZompZpmqZqmrZrmsZsmtZtmuZumvZvmwZwmxZxmyZymzZzm{Z{m|Z|m}Z}m~Z~mZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmHZHmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmÐZÐmĐZĐmŐZŐmƐZƐmǐZǐmZmȐZȐmɐZɐmʐZʐmːZːm̐Z̐m͐Z͐mΐZΐmϐZϐmАZАmѐZѐmҐZҐmӐZӐmԐZԐmՐZՐm֐Z֐mאZאmؐZؐmِZِmڐZڐmېZېmܐZݐmސZߐmZmZmZ ddlmZ ddlmZ ddlmZ dd	lmZ dd
lmZmZmZ ddlmZ ddlmZ ddlmZmZ ddlmZ ddlmZ ddlmZmZ ddlmZ ddlm Z  ddlmZmZ ddlmZmZmZmZm	Z	m
Z
mZmZ ddlmZmZmZmZmZmZmZmZmZmZmZmZ ddlmZmZmZmZmZmZm Z  ddlm!Z" d dD             \  Z#Z$Z%Z&Z'Z(Z)Z*Z+Z,Z-Z.Z/Z0Z1Z2Z3Z4Z5Z6Z7Z8Z9Z:Z;Z<Z=Z>Z?Z@ZAd dD             \  ZBZCZDZEZFZGZHZIZJZKZLZMZNZOZPZQZJZKZRZSZTZUZVZWZXZYZZZ[Z\Z] ed          \	  Z^Z_Z`ZaZbZcZdZeZfdZgdZhdZid Zj eej          Zkd  Zl eel          Zmd! Zn een          Zod" Zp eep          Zqd# Zr eer          Zsd$ Zt eet          Zud% Zv eev          Zwd& Zx eex          Zyd' Zz eez          Z{d( Z| ee|          Z}d) Z~ ee~          Zd* Z ee          Zd+ Z ee          Zd, Z ee          Zd- Z ee          Zd. Z ee          Zd/ Z ee          Zd0 Z ee          Zd1 Z ee          Zd2 Z ee          Zd3 Z ee          Zd4 Z ee          Zd5 Z ee          Zd6 Z ee          Zd7 Z ee          Zd8 Z ee          Zd9 Z ee          Zd: Z ee          Zd; Z ee          Zd< Z ee          Zd= Z ee          Zd> Z ee          Zd? Z ee          Zd@ Z ee          ZdA Z ee          ZdB Z ee          ZdC Z ee          ZdD Z ee          ZdE Z ee          ZdF Z ee          ZdG Z ee          ZdH Z ee          ZdI Z ee          ZdJ Z ee          ZdK Z ee¦          ZdL Z eeĦ          ZdM Z eeƦ          ZdN Z eeȦ          ZdO Z eeʦ          ZdP Z ee̦          ZdQ Z eeΦ          ZdR Z eeЦ          ZdS Z eeҦ          ZdT Z eeԦ          ZdU Z ee֦          ZdV Z eeئ          ZdW Z eeڦ          ZdX Z eeܦ          ZdY Z eeަ          ZdZ Z ee          Zd[ Z ee          Zd\ Z ee          Zd] Z ee          Zd^ Z ee          Zd_ Z ee          Zd` Z ee          Zda Z ee          Zdb Z ee          Zdc Z ee          Zdd Z ee          Zde Z ee          Zdf Z ee          Zdg Z ee          Zdh Z ee          Zdi Z ee          Zdj Z  ee           Zdk Z ee          Zdl Z ee          Zdm Z ee          Zdn Z ee          Z	do Z
 ee
          Zdp Z ee          Zdq Z ee          Zdr Z ee          Zds Z ee          Zdt Z ee          Zdu Z ee          Zdv Z ee          Zdw Z ee          Zdx Z ee          Zdy Z ee          Zdz Z  ee           Z!d{ Z" ee"          Z#d| Z$ ee$          Z%d} Z& ee&          Z'd~ Z( ee(          Z)d Z* ee*          Z+d Z, ee,          Z-d Z. ee.          Z/d Z0 ee0          Z1d Z2 ee2          Z3d Z4 ee4          Z5d Z6 ee6          Z7d Z8 ee8          Z9d Z: ee:          Z;d Z< ee<          Z=d Z> ee>          Z?d Z@ ee@          ZAd ZB eeB          ZCd ZD eeD          ZEd ZF eeF          ZGd ZH eeH          ZId ZJ eeJ          ZKd ZL eeL          ZMd ZN eeN          ZOd ZP eeP          ZQd ZR eeR          ZSd ZT eeT          ZUd ZV eeV          ZWd ZX eeX          ZYd ZZ eeZ          Z[d Z\ ee\          Z]d Z^ ee^          Z_d Z` ee`          Zad Zb eeb          Zcd Zd eed          Zed Zf eef          Zgd Zh eeh          Zid Zj eej          Zkd Zl eel          Zmd Zn een          Zod Zp eep          Zqd Zr eer          Zsd Zt eet          Zud Zv eev          Zwd Zx eex          Zyd Zz eez          Z{d Z| ee|          Z}d Z~ ee~          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          ZdÄ Z ee          ZdĄ Z ee          Zdń Z ee          ZdƄ Z ee          ZdǄ Z ee          ZdȄ Z ee          ZdɄ Z ee          Zdʄ Z ee          Zd˄ Z ee¦          Zd̄ Z eeĦ          Zd̈́ Z eeƦ          Zd΄ Z eeȦ          Zdτ Z eeʦ          ZdЄ Z ee̦          Zdф Z eeΦ          Zd҄ Z eeЦ          Zdӄ Z eeҦ          ZdԄ Z eeԦ          ZdՄ Z ee֦          Zdք Z eeئ          Zdׄ Z eeڦ          Zd؄ Z eeܦ          Zdل Z eeަ          Zdڄ Z ee          Zdۄ Z ee          Zd܄ Z ee          Zd݄ Z ee          Zdބ Z ee          Zd߄ Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z  ee           Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Z	d Z
 ee
          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z  ee           Z!d Z" ee"          Z#d Z$ ee$          Z%d Z& ee&          Z'd Z( ee(          Z)d Z* ee*          Z+d  Z, ee,          Z-d Z. ee.          Z/d Z0 ee0          Z1d Z2 ee2          Z3d Z4 ee4          Z5d Z6 ee6          Z7d Z8 ee8          Z9d Z: ee:          Z;d Z< ee<          Z=d	 Z> ee>          Z?d
 Z@ ee@          ZAd ZB eeB          ZCd ZD eeD          ZEd ZF eeF          ZGd ZH eeH          ZId ZJ eeJ          ZKd ZL eeL          ZMd ZN eeN          ZOd ZP eeP          ZQd ZR eeR          ZSd ZT eeT          ZUd ZV eeV          ZWd ZX eeX          ZYd ZZ eeZ          Z[d Z\ ee\          Z]d Z^ ee^          Z_d Z` ee`          Zad Zb eeb          Zcd Zd eed          Zed Zf eef          Zgd Zh eeh          Zid Zj eej          Zkd  Zl eel          Zmd! Zn een          Zod" Zp eep          Zqd# Zr eer          Zsd$ Zt eet          Zud% Zv eev          Zwd& Zx eex          Zyd' Zz eez          Z{d( Z| ee|          Z}d) Z~ ee~          Zd* Z ee          Zd+ Z ee          Zd, Z ee          Zd- Z ee          Zd. Z ee          Zd/ Z ee          Zd0 Z ee          Zd1 Z ee          Zd2 Z ee          Zd3 Z ee          Zd4 Z ee          Zd5 Z ee          Zd6 Z ee          Zd7 Z ee          Zd8 Z ee          Zd9 Z ee          Zd: Z ee          Zd; Z ee          Zd< Z ee          Zd= Z ee          Zd> Z ee          Zd? Z ee          Zd@ Z ee          ZdA Z ee          ZdB Z ee          ZdC Z ee          ZdD Z ee          ZdE Z ee          ZdF Z ee          ZdG Z ee          ZdH Z ee          ZdI Z ee          ZdJ Z ee          ZdK Z ee¦          ZÐdL Z eeĦ          ZŐdM Z eeƦ          ZǐdN Z eeȦ          ZɐdO Z eeʦ          ZːdP Z ee̦          Z͐dQ Z eeΦ          ZϐdR Z eeЦ          ZѐdS Z eeҦ          ZӐdT Z eeԦ          ZՐdU Z ee֦          ZאdV Z eeئ          ZِdW Z eeڦ          ZېdX Z eeܦ          ZݐdY Z eeަ          ZߐdZ Z ee          Zd[ Z ee          Zd\ Z ee          Zd] Z ee          Zd^ Z ee          Zd_ Z ee          Zd` Z ee          Zda Z ee          Zdb Z ee          Zdc Z ee          Zdd Z ee          Zde Z ee          Zdf Z ee          Zdg Z ee          Zdh Z ee          Zdi Z ee          Zdj Z  ee           Zdk Z ee          Zdl Z ee          Zdm Z ee          Zdn Z ee          Z	do Z
 ee
          Zdp Z ee          Zdq Z ee          Zdr Z ee          Zds Z ee          Zdt Z ee          Zdu Z ee          Zdv Z ee          Zdw Z ee          Zdx Z ee          Zdy Z ee          Zdz Z  ee           Z!d{ Z" ee"          Z#d| Z$ ee$          Z%d} Z& ee&          Z'd~ Z( ee(          Z)d Z* ee*          Z+d Z, ee,          Z-d Z. ee.          Z/d Z0 ee0          Z1d Z2 ee2          Z3d Z4 ee4          Z5d Z6 ee6          Z7d Z8 ee8          Z9d Z: ee:          Z;d Z< ee<          Z=d Z> ee>          Z?d Z@ ee@          ZAd ZB eeB          ZCd ZD eeD          ZEd ZF eeF          ZGd ZH eeH          ZId ZJ eeJ          ZKd ZL eeL          ZMd ZN eeN          ZOd ZP eeP          ZQd ZR eeR          ZSd ZT eeT          ZUd ZV eeV          ZWd ZX eeX          ZYd ZZ eeZ          Z[d Z\ ee\          Z]d Z^ ee^          Z_d Z` ee`          Zad Zb eeb          Zcd Zd eed          Zed Zf eef          Zgd Zh eeh          Zid Zj eej          Zkd Zl eel          Zmd Zn een          Zod Zp eep          Zqd Zr eer          Zsd Zt eet          Zud Zv eev          Zwd Zx eex          Zyd Zz eez          Z{d Z| ee|          Z}d Z~ ee~          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          ZdÄ Z ee          ZdĄ Z ee          Zdń Z ee          ZdƄ Z ee          ZdǄ Z ee          ZdȄ Z ee          ZdɄ Z ee          Zdʄ Z ee          Zd˄ Z ee¦          ZÐd̄ Z eeĦ          ZŐd̈́ Z eeƦ          Zǐd΄ Z eeȦ          Zɐdτ Z eeʦ          ZːdЄ Z ee̦          Z͐dф Z eeΦ          Zϐd҄ Z eeЦ          Zѐdӄ Z eeҦ          ZӐdԄ Z eeԦ          ZՐdՄ Z ee֦          Zאdք Z eeئ          Zِdׄ Z eeڦ          Zېd؄ Z eeܦ          Zݐdل Z eeަ          Zߐdڄ Z ee          Zdۄ Z ee          Zd܄ Z ee          Zd݄ Z ee          Zdބ Z ee          Zd߄ Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z  ee           Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Z	d Z
 ee
          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z  ee           Z!d Z" ee"          Z#d Z$ ee$          Z%d Z& ee&          Z'd Z( ee(          Z)d Z* ee*          Z+d  Z, ee,          Z-d Z. ee.          Z/d Z0 ee0          Z1d Z2 ee2          Z3d Z4 ee4          Z5d Z6 ee6          Z7d Z8 ee8          Z9d Z: ee:          Z;d Z< ee<          Z=d	 Z> ee>          Z?d
 Z@ ee@          ZAd ZB eeB          ZCd ZD eeD          ZEd ZF eeF          ZGd ZH eeH          ZId ZJ eeJ          ZKd ZL eeL          ZMd ZN eeN          ZOd ZP eeP          ZQd ZR eeR          ZSd ZT eeT          ZUd ZV eeV          ZWd ZX eeX          ZYd ZZ eeZ          Z[d Z\ ee\          Z]d Z^ ee^          Z_d Z` ee`          Zad Zb eeb          Zcd Zd eed          Zed Zf eef          Zgd Zh eeh          Zid Zj eej          Zkd  Zl eel          Zmd! Zn een          Zod" Zp eep          Zqd# Zr eer          Zsd$ Zt eet          Zud% Zv eev          Zwd& Zx eex          Zyd' Zz eez          Z{d( Z| ee|          Z}d) Z~ ee~          Zd* Z ee          Zd+ Z ee          Zd, Z ee          Zd- Z ee          Zd. Z ee          Zd/ Z ee          Zd0 Z ee          Zd1 Z ee          Zd2 Z ee          Zd3 Z ee          Zd4 Z ee          Zd5 Z ee          Zd6 Z ee          Zd7 Z ee          Zd8 Z ee          Zd9 Z ee          Zd: Z ee          Zd; Z ee          Zd< Z ee          Zd= Z ee          Zd> Z ee          Zd? Z ee          Zd@ Z ee          ZdA Z ee          ZdB Z ee          ZdC Z ee          ZdD Z ee          ZdE Z ee          ZdF Z ee          ZdG Z ee          ZdH Z ee          ZdI Z ee          ZdJ Z ee          ZdK Z ee¦          ZÐdL Z eeĦ          ZŐdM Z eeƦ          ZǐdN Z eeȦ          ZɐdO Z eeʦ          ZːdP Z ee̦          Z͐dQ Z eeΦ          ZϐdR Z eeЦ          ZѐdS Z eeҦ          ZӐdT Z eeԦ          ZՐdU Z ee֦          ZאdV Z eeئ          ZِdW Z eeڦ          ZېdX Z eeܦ          ZݐdY Z eeަ          ZߐdZ Z ee          Zd[ Z ee          Zd\ Z ee          Zd] Z ee          Zd^ Z ee          Zd_ Z ee          Zd` Z ee          Zda Z ee          Zdb Z ee          Zdc Z ee          Zdd Z ee          Zde Z ee          Zdf Z ee          Zdg Z ee          Zdh Z ee          Zdi Z ee          Zdj Z  ee           Zdk Z ee          Zdl Z ee          Zdm Z ee          Zdn Z ee          Z	do Z
 ee
          Zdp Z ee          Zdq Z ee          Zdr Z ee          Zds Z ee          Zdt Z ee          Zdu Z ee          Zdv Z ee          Zdw Z ee          Zdx Z ee          Zdy Z ee          Zdz Z  ee           Z!d{ Z" ee"          Z#d| Z$ ee$          Z%d} Z& ee&          Z'd~ Z( ee(          Z)d Z* ee*          Z+d Z, ee,          Z-d Z. ee.          Z/d Z0 ee0          Z1d Z2 ee2          Z3d Z4 ee4          Z5d Z6 ee6          Z7d Z8 ee8          Z9d Z: ee:          Z;d Z< ee<          Z=d Z> ee>          Z?d Z@ ee@          ZAd ZB eeB          ZCd ZD eeD          ZEd ZF eeF          ZGd ZH eeH          ZId ZJ eeJ          ZKd ZL eeL          ZMd ZN eeN          ZOd ZP eeP          ZQd ZR eeR          ZSd ZT eeT          ZUd ZV eeV          ZWd ZX eeX          ZYd ZZ eeZ          Z[d Z\ ee\          Z]d Z^ ee^          Z_d Z` ee`          Zad Zb eeb          Zcd Zd eed          Zed Zf eef          Zgd Zh eeh          Zid Zj eej          Zkd Zl eel          Zmd Zn een          Zod Zp eep          Zqd Zr eer          Zsd Zt eet          Zud Zv eev          Zwd Zx eex          Zyd Zz eez          Z{d Z| ee|          Z}d Z~ ee~          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          ZdÄ Z ee          ZdĄ Z ee          Zdń Z ee          ZdƄ Z ee          ZdǄ Z ee          ZdȄ Z ee          ZdɄ Z ee          Zdʄ Z ee          Zd˄ Z ee¦          ZÐd̄ Z eeĦ          ZŐd̈́ Z eeƦ          Zǐd΄ Z eeȦ          Zɐdτ Z eeʦ          ZːdЄ Z ee̦          Z͐dф Z eeΦ          Zϐd҄ Z eeЦ          Zѐdӄ Z eeҦ          ZӐdԄ Z eeԦ          ZՐdՄ Z ee֦          Zאdք Z eeئ          Zِdׄ Z eeڦ          Zېd؄ Z eeܦ          Zݐdل Z eeަ          Zߐdڄ Z ee          Zdۄ Z ee          Zd܄ Z ee          Zd݄ Z ee          Zdބ Z ee          Zd߄ Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z  ee           Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Z	d Z
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 Z@ ee@          ZAd ZB eeB          ZCd ZD eeD          ZEd ZF eeF          ZGd ZH eeH          ZId ZJ eeJ          ZKd ZL eeL          ZMd ZN eeN          ZOd ZP eeP          ZQd ZR eeR          ZSd ZT eeT          ZUd ZV eeV          ZWd ZX eeX          ZYd ZZ eeZ          Z[d Z\ ee\          Z]d Z^ ee^          Z_d Z` ee`          Zad Zb eeb          Zcd Zd eed          Zed Zf eef          Zgd Zh eeh          Zid Zj eej          Zkd  Zl eel          Zmd! Zn een          Zod" Zp eep          Zqd# Zr eer          Zsd$ Zt eet          Zud% Zv eev          Zwd& Zx eex          Zyd' Zz eez          Z{d( Z| ee|          Z}d) Z~ ee~          Zd* Z ee          Zd+ Z ee          Zd, Z ee          Zd- Z ee          Zd. Z ee          Zd/ Z ee          Zd0 Z ee          Zd1 Z ee          Zd2 Z ee          Zd3 Z ee          Zd4 Z ee          Zd5 Z ee          Zd6 Z ee          Zd7 Z ee          Zd8 Z ee          Zd9 Z ee          Zd: Z ee          Zd; Z ee          Zd< Z ee          Zd= Z ee          Zd> Z ee          Zd? Z ee          Zd@ Z ee          ZdA Z ee          ZdB Z ee          ZdC Z ee          ZdD Z ee          ZdE Z ee          ZdF Z ee          ZdG Z ee          ZdH Z ee          ZdI Z ee          ZdJ Z ee          ZdK Z ee¦          ZÐdL Z eeĦ          ZŐdM Z eeƦ          ZǐdN Z eeȦ          ZɐdO Z eeʦ          ZːdP Z ee̦          Z͐dQ Z eeΦ          ZϐdR Z eeЦ          ZѐdS Z eeҦ          ZӐdT Z eeԦ          ZՐdU Z ee֦          ZאdV Z eeئ          ZِdW Z eeڦ          ZېdX Z eeܦ          ZݐdY Z eeަ          ZߐdZ Z ee          Zd[ Z ee          Zd\ Z ee          Zd] Z ee          Zd^ Z ee          Zd_ Z ee          Zd` Z ee          Zda Z ee          Zdb Z ee          Zdc Z ee          Zdd Z ee          Zde Z ee          Zdf Z ee          Zdg Z ee          Zdh Z ee          Zdi Z ee          Zdj Z  ee           Zdk Z ee          Zdl Z ee          Zdm Z ee          Zdn Z ee          Z	do Z
 ee
          Zdp Z ee          Zdq Z ee          Zdr Z ee          Zds Z ee          Zdt Z ee          Zdu Z ee          Zdv Z ee          Zdw Z ee          Zdx Z ee          Zdy Z ee          Zdz Z  ee           Z!d{ Z" ee"          Z#d| Z$ ee$          Z%d} Z& ee&          Z'd~ Z( ee(          Z)d Z* ee*          Z+d Z, ee,          Z-d Z. ee.          Z/d Z0 ee0          Z1d Z2 ee2          Z3d Z4 ee4          Z5d Z6 ee6          Z7d Z8 ee8          Z9d Z: ee:          Z;d Z< ee<          Z=d Z> ee>          Z?d Z@ ee@          ZAd ZB eeB          ZCd ZD eeD          ZEd ZF eeF          ZGd ZH eeH          ZId ZJ eeJ          ZKd ZL eeL          ZMd ZN eeN          ZOd ZP eeP          ZQd ZR eeR          ZSd ZT eeT          ZUd ZV eeV          ZWd ZX eeX          ZYd ZZ eeZ          Z[d Z\ ee\          Z]d Z^ ee^          Z_d Z` ee`          Zad Zb eeb          Zcd Zd eed          Zed Zf eef          Zgd Zh eeh          Zid Zj eej          Zkd Zl eel          Zmd Zn een          Zod Zp eep          Zqd Zr eer          Zsd Zt eet          Zud Zv eev          Zwd Zx eex          Zyd Zz eez          Z{d Z| ee|          Z}d Z~ ee~          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          ZdÄ Z ee          ZdĄ Z ee          Zdń Z ee          ZdƄ Z ee          ZdǄ Z ee          ZdȄ Z ee          ZdɄ Z ee          Zdʄ Z ee          Zd˄ Z ee¦          ZÐd̄ Z eeĦ          ZŐd̈́ Z eeƦ          Zǐd΄ Z eeȦ          Zɐdτ Z eeʦ          ZːdЄ Z ee̦          Z͐dф Z eeΦ          Zϐd҄ Z eeЦ          Zѐdӄ Z eeҦ          ZӐdԄ Z eeԦ          ZՐdՄ Z ee֦          Zאdք Z eeئ          Zِdׄ Z eeڦ          Zېd؄ Z eeܦ          Zݐdل Z eeަ          Zߐdڄ Z ee          Zdۄ Z ee          Zd܄ Z ee          Zd݄ Z ee          Zdބ Z ee          Zd߄ Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z  ee           Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Z	d Z
 ee
          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z  ee           Z!d Z" ee"          Z#d Z$ ee$          Z%d Z& ee&          Z'd Z( ee(          Z)d Z* ee*          Z+d  Z, ee,          Z-d Z. ee.          Z/d Z0 ee0          Z1d Z2 ee2          Z3d Z4 ee4          Z5d Z6 ee6          Z7d Z8 ee8          Z9d Z: ee:          Z;d Z< ee<          Z=d	 Z> ee>          Z?d
 Z@ ee@          ZAd ZB eeB          ZCd ZD eeD          ZEd ZF eeF          ZGd ZH eeH          ZId ZJ eeJ          ZKd ZL eeL          ZMd ZN eeN          ZOd ZP eeP          ZQd ZR eeR          ZSd ZT eeT          ZUd ZV eeV          ZWd ZX eeX          ZYd ZZ eeZ          Z[d Z\ ee\          Z]d Z^ ee^          Z_d Z` ee`          Zad Zb eeb          Zcd Zd eed          Zed Zf eef          Zgd Zh eeh          Zid Zj eej          Zkd  Zl eel          Zmd! Zn een          Zod" Zp eep          Zqd# Zr eer          Zsd$ Zt eet          Zud% Zv eev          Zwd& Zx eex          Zyd' Zz eez          Z{d( Z| ee|          Z}d) Z~ ee~          Zd* Z ee          Zd+ Z ee          Zd, Z ee          Zd- Z ee          Zd. Z ee          Zd/ Z ee          Zd0 Z ee          Zd1 Z ee          Zd2 Z ee          Zd3 Z ee          Zd4 Z ee          Zd5 Z ee          Zd6 Z ee          Zd7 Z ee          Zd8 Z ee          Zd9 Z ee          Zd: Z ee          Zd; Z ee          Zd< Z ee          Zd= Z ee          Zd> Z ee          Zd? Z ee          Zd@ Z ee          ZdA Z ee          ZdB Z ee          ZdC Z ee          ZdD Z ee          ZdE Z ee          ZdF Z ee          ZdG Z ee          ZdH Z ee          ZdI Z ee          ZdJ Z ee          ZdK Z ee¦          ZÐdL Z eeĦ          ZŐdM Z eeƦ          ZǐdN Z eeȦ          ZɐdO Z eeʦ          ZːdP Z ee̦          Z͐dQ Z eeΦ          ZϐdR Z eeЦ          ZѐdS Z eeҦ          ZӐdT Z eeԦ          ZՐdU Z ee֦          ZאdV Z eeئ          ZِdW Z eeڦ          ZېdX Z eeܦ          ZݐdY Z eeަ          ZߐdZ Z ee          Zd[ Z ee          Zd\ Z ee          Zd] Z ee          Zd^ Z ee          Zd_ Z ee          Zd` Z ee          Zda Z ee          Zdb Z ee          Zdc Z ee          Zdd Z ee          Zde Z ee          Zdf Z ee          Zdg Z ee          Zdh Z ee          Zdi Z ee          Zdj Z  ee           Zdk Z ee          Zdl Z ee          Zdm Z ee          Zdn Z ee          Z	do Z
 ee
          Zdp Z ee          Zdq Z ee          Zdr Z ee          Zds Z ee          Zdt Z ee          Zdu Z ee          Zdv Z ee          Zdw Z ee          Zdx Z ee          Zdy Z ee          Zdz Z  ee           Z!d{ Z" ee"          Z#d| Z$ ee$          Z%d} Z& ee&          Z'd~ Z( ee(          Z)d Z* ee*          Z+d Z, ee,          Z-d Z. ee.          Z/d Z0 ee0          Z1d Z2 ee2          Z3d Z4 ee4          Z5d Z6 ee6          Z7d Z8 ee8          Z9d Z: ee:          Z;d Z< ee<          Z=d Z> ee>          Z?d Z@ ee@          ZAd ZB eeB          ZCd ZD eeD          ZEd ZF eeF          ZGd ZH eeH          ZId ZJ eeJ          ZKd ZL eeL          ZMd ZN eeN          ZOd ZP eeP          ZQd ZR eeR          ZSd ZT eeT          ZUd ZV eeV          ZWd ZX eeX          ZYd ZZ eeZ          Z[d Z\ ee\          Z]d Z^ ee^          Z_d Z` ee`          Zad Zb eeb          Zcd Zd eed          Zed Zf eef          Zgd Zh eeh          Zid Zj eej          Zkd Zl eel          Zmd Zn een          Zod Zp eep          Zqd Zr eer          Zsd Zt eet          Zud Zv eev          Zwd Zx eex          Zyd Zz eez          Z{d Z| ee|          Z}d Z~ ee~          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          ZdÄ Z ee          ZdĄ Z ee          Zdń Z ee          ZdƄ Z ee          ZdǄ Z ee          ZdȄ Z ee          ZdɄ Z ee          Zdʄ Z ee          Zd˄ Z ee¦          ZÐd̄ Z eeĦ          ZŐd̈́ Z eeƦ          Zǐd΄ Z eeȦ          Zɐdτ Z eeʦ          ZːdЄ Z ee̦          Z͐dф Z eeΦ          Zϐd҄ Z eeЦ          Zѐdӄ Z eeҦ          ZӐdԄ Z eeԦ          ZՐdՄ Z ee֦          Zאdք Z eeئ          Zِdׄ Z eeڦ          Zېd؄ Z eeܦ          Zݐdل Z eeަ          Zߐdڄ Z ee          Zdۄ Z ee          Zd܄ Z ee          Zd݄ Z ee          Zdބ Z ee          Zd߄ Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z  ee           Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Z	d Z
 ee
          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z ee          Zd Z  ee           Z!d Z" ee"          Z#d Z$ ee$          Z%d Z& ee&          Z'd Z( ee(          Z)d Z* ee*          Z+d  Z, ee,          Z-d Z. ee.          Z/d Z0 ee0          Z1d Z2 ee2          Z3d Z4 ee4          Z5d Z6 ee6          Z7d Z8 ee8          Z9d Z: ee:          Z;d Z< ee<          Z=d	 Z> ee>          Z?d
 Z@ ee@          ZAd ZB eeB          ZCd ZD eeD          ZEd ZF eeF          ZGd ZH eeH          ZId ZJ eeJ          ZKd ZL eeL          ZMd ZN eeN          ZOd ZP eeP          ZQd ZR eeR          ZSd ZT eeT          ZUd ZV eeV          ZWdS dS (  z
This code is automatically generated. Never edit it manually.
For details of generating the code see `rubi_parsing_guide.md` in `parsetools`.
    )import_modulematchpy)PatternReplacementRuleCustomConstraintis_match(  IntSumSetWithModuleScanMapAndFalseQZeroQ	NegativeQNonzeroQFreeQNFreeQListLog	PositiveQPositiveIntegerQNegativeIntegerQIntegerQ	IntegersQComplexNumberQPureComplexNumberQRealNumericQPositiveOrZeroQNegativeOrZeroQFractionOrNegativeQNegQEqualUnequalIntPartFracPart	RationalQProductQSumQNonsumQSubstFirstRestSqrtNumberQSqrtNumberSumQLinearQSqrtArcCoshCoefficientDenominatorHypergeometric2F1NotSimplifyFractionalPartIntegerPartAppellF1
EllipticPi	EllipticE	EllipticFArcTanArcCotArcCothArcTanhArcSinArcSinhArcCosArcCscArcSecArcCschArcSechSinhTanhCoshSechCschCoth	LessEqualLessGreaterGreaterEqual	FractionQIntLinearcQExpandIndependentQPowerQIntegerPowerQPositiveIntegerPowerQFractionalPowerQAtomQExpQLogQHeadMemberQTrigQSinQCosQTanQCotQSecQCscQSinCosTanCotSecCscHyperbolicQSinhQCoshQTanhQCothQSechQCschQInverseTrigQSinCosQ	SinhCoshQ	LeafCount	NumeratorNumberQNumericQLengthListQImReInverseHyperbolicQInverseFunctionQTrigHyperbolicFreeQInverseFunctionFreeQRealQEqQFractionalPowerFreeQComplexFreeQPolynomialQFactorSquareFreePowerOfLinearQExponent
QuadraticQLinearPairQBinomialPartsTrinomialPartsPolyQEvenQOddQPerfectSquareQNiceSqrtAuxQ	NiceSqrtQTogetherPosAuxPosQCoefficientList
ReplaceAllExpandLinearProductGCDContentFactorNumericFactorNonnumericFactorsMakeAssocListGensymSubstKernelSubstExpandExpressionApart
SmartApartMatchQPolynomialQuotientRemainderFreeFactorsNonfreeFactorsRemoveContentAuxRemoveContent	FreeTermsNonfreeTermsExpandAlgebraicFunctionCollectReciprocalsExpandCleanupAlgebraicFunctionQCoeffLeadTermRemainingTerms
LeadFactorRemainingFactorsLeadBase
LeadDegreeNumerDenom	hypergeomExponMergeMonomialsPolynomialDivide	BinomialQ
TrinomialQGeneralizedBinomialQGeneralizedTrinomialQFactorSquareFreeListPerfectPowerTestSquareFreeFactorTestRationalFunctionQRationalFunctionFactorsNonrationalFunctionFactorsReverseRationalFunctionExponentsRationalFunctionExpandExpandIntegrandSimplerQSimplerSqrtQSumSimplerQBinomialDegreeTrinomialDegreeCancelCommonFactorsSimplerIntegrandQGeneralizedBinomialDegreeGeneralizedBinomialPartsGeneralizedTrinomialDegreeGeneralizedTrinomialParts	MonomialQMonomialSumQMinimumMonomialExponentMonomialExponentLinearMatchQPowerOfLinearMatchQQuadraticMatchQCubicMatchQBinomialMatchQTrinomialMatchQGeneralizedBinomialMatchQGeneralizedTrinomialMatchQQuotientOfLinearsMatchQPolynomialTermQPolynomialTermsNonpolynomialTermsPseudoBinomialPartsNormalizePseudoBinomialPseudoBinomialPairQPseudoBinomialQPolynomialGCDPolyGCDAlgebraicFunctionFactorsNonalgebraicFunctionFactorsQuotientOfLinearsPQuotientOfLinearsPartsQuotientOfLinearsQFlattenSortAbsurdNumberQAbsurdNumberFactorsNonabsurdNumberFactorsSumSimplerAuxQPrependDropCombineExponentsFactorIntegerFactorAbsurdNumberSubstForInverseFunctionSubstForFractionalPower*SubstForFractionalPowerOfQuotientOfLinears"FractionalPowerOfQuotientOfLinearsSubstForFractionalPowerQSubstForFractionalPowerAuxQFractionalPowerOfSquareQFractionalPowerSubexpressionQApplyFactorNumericGcdMergeableFactorQMergeFactorMergeFactorsTrigSimplifyQTrigSimplifyTrigSimplifyRecurOrderFactorOrderSmallestOrderedQMinimumDegreePositiveFactorsSignNonpositiveFactorsPolynomialInAuxQPolynomialInQExponentInAux
ExponentInPolynomialInSubstAuxPolynomialInSubstDistribDistributeDegreeFunctionOfPowerDivideDegreesOfFactorsMonomialFactorFullSimplifyFunctionOfLinearSubstFunctionOfLinearNormalizeIntegrandNormalizeIntegrandAuxNormalizeIntegrandFactorNormalizeIntegrandFactorBaseNormalizeTogetherNormalizeLeadTermSignsAbsorbMinusSignNormalizeSumFactorsSignOfFactorNormalizePowerOfLinearSimplifyIntegrandSimplifyTermTogetherSimplifySmartSimplifySubstForExpnExpandToSumUnifySum
UnifyTerms	UnifyTerm	CalculusQFunctionOfInverseLinearPureFunctionOfSinhQPureFunctionOfTanhQPureFunctionOfCoshQIntegerQuotientQOddQuotientQEvenQuotientQFindTrigFactorFunctionOfSinhQFunctionOfCoshQOddHyperbolicPowerQFunctionOfTanhQFunctionOfTanhWeightFunctionOfHyperbolicQSmartNumeratorSmartDenominatorSubstForAuxActivateTrig
ExpandTrig
TrigExpandSubstForTrigSubstForHyperbolicInertTrigFreeQLCMSubstForFractionalPowerOfLinearFractionalPowerOfLinearInverseFunctionOfLinear
InertTrigQInertReciprocalQDeactivateTrigFixInertTrigFunctionDeactivateTrigAuxPowerOfInertTrigSumQPiecewiseLinearQKnownTrigIntegrandQKnownSineIntegrandQKnownTangentIntegrandQKnownCotangentIntegrandQKnownSecantIntegrandQTryPureTanSubstTryTanhSubstTryPureTanhSubstAbsurdNumberGCDAbsurdNumberGCDListExpandTrigExpandExpandTrigReduceExpandTrigReduceAuxNormalizeTrig	TrigToExpExpandTrigToExp
TrigReduceFunctionOfTrigAlgebraicTrigFunctionQFunctionOfHyperbolicFunctionOfQFunctionOfExpnQPureFunctionOfSinQPureFunctionOfCosQPureFunctionOfTanQPureFunctionOfCotQFunctionOfCosQFunctionOfSinQOddTrigPowerQFunctionOfTanQFunctionOfTanWeightFunctionOfTrigQFunctionOfDensePolynomialsQFunctionOfLogPowerVariableExpnPowerVariableDegreePowerVariableSubstEulerIntegrandQFunctionOfSquareRootOfQuadraticSquareRootOfQuadraticSubstDividesEasyDQProductOfLinearPowersQRtNthRoot	AtomBaseQSumBaseQNegSumBaseQAllNegTermQSomeNegTermQTrigSquareQRtAux
TrigSquareIntSumIntTermMap2ConstantFactorSameQReplacePartCommonFactorsMostMainFactorPositionFunctionOfExponentialQFunctionOfExponentialFunctionOfExponentialFunction FunctionOfExponentialFunctionAuxFunctionOfExponentialTestFunctionOfExponentialTestAuxstdev	rubi_testIfIntQuadraticQIntBinomialQRectifyTangentRectifyCotangent
Inequality	ConditionSimpSimpHelpSplitProductSplitSumSubstForrH  FresnelSFresnelCErfcErfiGammaFunctionOfTrigOfLinearQElementaryFunctionQComplexUnsameQ_SimpFixFactorSimpFixFactor_FixSimplifyFixSimplify_SimplifyAntiderivativeSumSimplifyAntiderivativeSum_SimplifyAntiderivativeSimplifyAntiderivative_TrigSimplifyAuxTrigSimplifyAuxCancelPartPolyLogDDistSum_doitPolynomialQuotientFloorPolynomialRemainderFactorr  CosIntegralSinIntegralLogIntegralSinhIntegralCoshIntegralRuleErf	PolyGammaExpIntegralEiExpIntegralELogGammaUtilityOperator	FactorialZeta
ProductLogDerivativeDividesHypergeometricPFQIntHideOneQNullrubi_exprubi_logDiscriminantNegativeQuotient)Add)Mod)Mul)
EulerGamma)FloatIInteger)Pow)S)Abssign)sqrt)Integral)AndOr)simplifyWC)symbolsSymbol)sincostancotcscsecr  erf)acoshasinhatanhacothacschasechcoshsinhtanhcothsechcsch)atanacscasinacotacosasecatan2)pic                 ,    g | ]}t          |          S  r  .0is     @lib/python3.11/site-packages/sympy/integrals/rubi/constraints.py
<listcomp>r     sO      Bt  Bt  Bt  MN  CE  FG  CH  CH  Bt  Bt  Bt    ABCFGHabcdefghijklmnpqrtuvswxyzc                 ,    g | ]}t          |          S r  r  r  s     r  r  r     sO      `i  `i  `i  kl  ac  de  af  af  `i  `i  `ir  )a1a2b1b2c1c2d1d2n1n2e1e2f1f2g1g2r"  r#  n3PqPmPxQmQrQxjnmnnon2RFxRGxzi ii Pqq Q R r C k uFNc                      t          |           S Nr   as    r  cons_f1r;         Qxxr  c                 "    t          | |          S r7  r   )r:  xs     r  cons_f2r@         Q{{r  c                 "    t          | |          S r7  r>  )br?  s     r  cons_f3rD     rA  r  c                 "    t          | |          S r7  r>  )nr?  s     r  cons_f4rG     rA  r  c                 "    t          | |          S r7  r>  )pr?  s     r  cons_f5rJ     rA  r  c                      t          |           S r7  r8  rC  s    r  cons_f6rM     r<  r  c                 F    t          | t          d          |z  z
            S N   r   r  jrF  s     r  cons_f7rT         Q1aZ   r  c                 "    t          | |          S r7  r>  cr?  s     r  cons_f8rY     rA  r  c                      t          |           S r7  r8  rX  s    r  cons_f9r\     r<  r  c                     t          |t          t          t          t          f          rdS t          t          | |                    S NF
isinstanceintr  floatr  r7   r   vr?  s     r  cons_f10re     8    a#wu566 	55A;;r  c                 v    t          |t          t          t          t          f          rdS t          | |          S r^  r`  ra  r  rb  r  r   )r,  r?  s     r  cons_f11ri     0    a#wu566 	5R||r  c                 :    t          t          |                     S r7  r7   r(   rI  s    r  cons_f12rn         9Q<<   r  c                      t          |           S r7  r(   rm  s    r  cons_f13rr         ||r  c                     t          |t          t          t          t          f          rdS t          t          | ||          |          S r^  r`  ra  r  rb  r  r   r   r:  rC  rX  r?  s       r  cons_f14rw     <    a#wu566 	5T!Q]]A&&&r  c                 \    t          | t          d          z  t          d                    S NrP     r   r  r9  s    r  cons_f15r}     s"    1add7AaDD!!!r  c                 0   t          t          t          t          t          f          rdS fd}t          |          }t          t          t          t          z            |          }t          t          |           |          }t          |          S )NFc                 $    t          |           S r7  r>  )rC  rd  r?  s     r  
_cons_f_15zcons_f16.<locals>._cons_f_15       A;;r  )r`  ra  r  rb  r  r   r   r  b_v_r   r7   )ur?  r  _cons_15patresult_matchqs    `    r  cons_f16r     s    a#wu566 	5	 	 	 	 	#J//obeQ//:: A!6!6<<=!!!r  c                      t          |           S r7  r*   r  s    r  cons_f17r         Awwr  c                 l   t          t          t          t          t          f          rdS fd}t          |          }t          t          t          t          t          dt          d                    z  z             |          }t          t          |           |          }t          |          S )NFc                 v    t          t          t          | |                    t          |                    S r7  )r  r   r   r   r:  rC  rd  r?  s      r  
_cons_f_17zcons_f18.<locals>._cons_f_17   s.    uT!QZZ++-=a-@-@AAAr  rC  r{  )r`  ra  r  rb  r  r   r   r  a_r  r  r  r   r7   )r  r?  r  _cons_17r  r  s    `    r  cons_f18r     s    a#wu566 	5	B 	B 	B 	B 	B#J//ob2baddmm+;&;Q??JJ A!6!6<<=!!!r  c                 "    t          | |          S r7  r>  )mr?  s     r  cons_f19r    rA  r  c                      t          |           S r7  r   r  s    r  cons_f20r        {{r  c                 :    t          t          |                     S r7  r7   r   r  s    r  cons_f21r        8A;;r  c                 F    t          | t          d          dz  z             S Nr{  rP  r   r  rF  s    r  cons_f22r        AaDDF
+++r  c                 &    t          | |z             S r7  r  r  rF  s     r  cons_f23r        Ar  c                 F    t          | t          d          dz  z             S NrP  r   r  r  s    r  cons_f24r        AbEE!G,,,r  c                 :    t          t          |                     S r7  r  r  s    r  cons_f25r  !  r  r  c                 @    t          t          | |z                       S r7  r  r  s     r  cons_f26r  &  s    8AE??###r  c                 4    t          |  |z  ||z  z             S r7  r8  r:  rC  rX  ds       r  cons_f27r  +      aRTAaCZ   r  c           	          t          |t          t          t          t          f          rdS t          t          t          |                    t          |||z  z   | ||z  z                       S r^  )	r`  ra  r  rb  r  r  r7   r   r   r:  rC  rX  r  rF  r?  s         r  cons_f28r  0  sZ    a#wu566 	5#hqkk""HQ1Wa!A#g$>$>???r  c                 "    t          | |          S r7  r>  )r  r?  s     r  cons_f29r  7  rA  r  c                 &    t          | |z            S r7  r   rC  r  s     r  cons_f30r  <      1~~r  c                 p    t          t          t          |           t          |                              S r7  )r7   r  r   r  s     r  cons_f31r  A  s&    2hqkk8A;;//000r  c           
          t          t          t          |          t          |          t          | |z                                S r7  r7   r  r   r   )rC  r  r  rF  s       r  cons_f32r  F  s2    2hqkk8A;;	!A#??@@@r  c                      t          |           S r7  rq  r  s    r  cons_f33r  K  rs  r  c                 <    t          | t          d                    S Nr  rP   r  r  s    r  cons_f34r  P      AbEE"""r  c                     t          | |t          d          z  z  ||z  |z  z
  ||t          d          z  z  z             S rO  rQ  ABCr:  rC  s        r  cons_f35r  U  >    Qq!A$$wY1Q&1add72333r  c                 "    t          | |          S r7  r>  )r  r?  s     r  cons_f36r  Z  rA  r  c                 "    t          | |          S r7  r>  )r  r?  s     r  cons_f37r  _  rA  r  c                 "    t          | |          S r7  r>  )r  r?  s     r  cons_f38r  d  rA  r  c                 &    t          | |z             S r7  r8  rF  qs     r  cons_f39r  i      QU||r  c                      t          |           S r7  r  rm  s    r  cons_f40r  n  r  r  c                 2    t          | |z  ||z  z
            S r7  r8  r  s       r  cons_f41r  s      QqS1Q3Yr  c                 p    t          t          t          |           t          |                              S r7  )r7   r  r   r#   r  s     r  cons_f42r  x  s&    3x{{DGG,,---r  c                 &    t          | |z             S r7  r8  r  rI  s     r  cons_f43r  }  r  r  c                 r    t          | t          d          z  |z  |t          d          z  |z  z             S rO  rQ  r  s       r  cons_f44r    1    Q!WQYAaDD*+++r  c                      t          |           S r7  r  r9  s    r  cons_f45r    rs  r  c                      t          |           S r7  r   r  s    r  cons_f46r    rs  r  c                 n    t          t          d           | z  |z  |t          d          z  z             S N   rP  rQ  r:  rC  rX  s      r  cons_f47r    /    addU1WQYAaDD()))r  c                 H    t          t          d           | z  |z             S rO  rQ  rF  r#  s     r  cons_f48r         addU1Wr\"""r  c                 T    t          |  |z  t          d          |z  |z  z             S rO  rQ  rC  rX  r  es       r  cons_f49r    (    aRTAaDDF1H_%%%r  c                 "    t          | |          S r7  r>  )r  r?  s     r  cons_f50r    rA  r  c                 (    t          |  |z             S r7  r   rI  r  s     r  cons_f51r	        QBF||r  c                 "    t          | |          S r7  r>  )r  r?  s     r  cons_f52r    rA  r  c                 (    t          |  |z             S r7  r  rI  rs     r  cons_f53r    r
  r  c                 "    t          | |          S r7  r>  )r  r?  s     r  cons_f54r    rA  r  c                 F    t          | |z
  t          d          z             S Nr{  rQ  r  s     r  cons_f55r        QUQqTT\"""r  c                 @    t          | t          d          z             S r  r   r  rm  s    r  cons_f56r        AaDD!!!r  c                 2    t          | |z  ||z  z             S r7  r8  )r  r  r  r  s       r  cons_f57r        RURU]###r  c                 f    t          | t          d          |z  z
  t          d          z             S rz  rQ  r  s     r  cons_f58r    )    Q1aZ!A$$&'''r  c                 "    t          | |          S r7  r>  )r  r?  s     r  cons_f59r"        R||r  c                 "    t          | |          S r7  r>  )r  r?  s     r  cons_f60r%    r#  r  c                 "    t          | |          S r7  r>  )r  r?  s     r  cons_f61r'    r#  r  c                 "    t          | |          S r7  r>  )r  r?  s     r  cons_f62r)    r#  r  c                 v    t          |t          t          t          t          f          rdS t          | |          S r^  rh  )r.  r?  s     r  cons_f63r+    rj  r  c                      t          |           S r7  r   r  s    r  cons_f64r.        """r  c                      t          |           S r7  r   rm  s    r  cons_f65r2    r/  r  c                 v    t          |t          t          t          t          f          rdS t          | |          S r^  rh  r+  r?  s     r  cons_f66r5    rj  r  c                 v    t          |t          t          t          t          f          rdS t          | |          S r^  rh  )r/  r?  s     r  cons_f67r7    rj  r  c                 @    t          | t          d          z             S r  r  r  s    r  cons_f68r9     r  r  c                     t          |t          t          t          t          f          rdS t          t          | |          |          S r^  ru  )r:  rC  r?  s      r  cons_f69r;    :    a#wu566 	5T!QZZ###r  c                 v    t          |t          t          t          t          f          rdS t          | |          S r^  r`  ra  r  rb  r  r1   r  r?  s     r  cons_f70r@    0    a#wu566 	5q!}}r  c                 z    t          |t          t          t          t          f          rdS t          | |z
            S r^  r`  ra  r  rb  r  r   r?  s     r  cons_f71rD    2    a#wu566 	5Ar  c                 2    t          | |z  ||z  z             S r7  r8  r  s       r  cons_f72rG    r  r  c                 4    t          |  |z  ||z  z             S r7  r   r  s       r  cons_f73rJ        1qs
###r  c                 F    t          | |z   t          d          z             S rO  rQ  r  s     r  cons_f74rM  $  r  r  c                 F    t          | t          d          dz  z             S r  r  r  s    r  cons_f75rO  )  r  r  c                 F    t          | t          d          dz  z             S N   rP  r  r  s    r  cons_f76rS  .  r  r  c           	          t          t          |          t          t          |           t          |                              S r7  r  r   r  r   )r:  rX  r  s      r  cons_f77rV  3  .    (1++s9Q<<1>>???r  c                 &    t          | |z             S r7  r8  r:  rX  s     r  cons_f78rZ  8  r  r  c                 Z    t          t          t          d          | z                      S rO  r7   r   r  r  s    r  cons_f79r]  =  "    8AaDDF##$$$r  c                 2    t          ||z  | |z  z            S r7  r  r  s       r  cons_f80r`  B  s    AaC1Ir  c                 F    t          | t          d          dz  z             S r  r   r  r  s    r  cons_f81rc  G      AaDDF
###r  c                 F    t          | t          d          dz  z             S r  rb  r  s    r  cons_f82rf  L  rd  r  c                 >    t          t          d          | |          S Nr   rQ   r  r  s     r  cons_f83rj  Q      AaDD!Qr  c                 >    t          | |t          d                    S rh  ri  r  s     r  cons_f84rm  V  s    Aq!A$$r  c                    t          t          t          |                    t          t	          |           t          t          d          |z  t          d          |z  z   t          d                              t          t          d          |z  t          d          |z  z   t          d          z   t          d                    t          ||z   t          d          z   t          d                              S )N   r  r   	      rP  )	r  r7   r   r  r   rP   r  rQ   rR   rX  r  rF  s      r  cons_f85rs  [  s   #hqkk""Ca)AaDDFQqTT!VOQqTT2R2R$S$SUYZ[\]Z^Z^_`Z`cdefcgcghiciZilmnolplpZprsturvrvUwUw  zA  BC  FG  BG  JK  LM  JN  JN  BN  PQ  RS  PT  PT  zU  zU  V  V  	Vr  c                      t          |           S r7  r1  r  s    r  cons_f86ru  `  r/  r  c                      t          |           S r7  r  r  s    r  cons_f87rw  e  r  r  c                     t          t          t          |          t          | |z   t	          d          z   t	          d                                        S NrP  r   )r7   r  r   rQ   r  r  s     r  cons_f88rz  j  sA    3'**DQ1qtt,D,DEEFFFr  c                      t          |           S r7  rq  r  s    r  cons_f89r|  o  rs  r  c                 <    t          | t          d                    S rh  rR   r  r  s    r  cons_f90r  t      q!A$$r  c                 <    t          | t          d                    S r  ri  r  s    r  cons_f91r  y      Aquu~~r  c                 :    t          |  |z  ||z  z   |z            S r7  r  r  s       r  cons_f92r  ~  "    aRTAaCZN###r  c                 :    t          |  |z  ||z  z   |z            S r7  r#   r  s       r  cons_f93r    r  r  c                 X    t          t          d          | t          d                    S Nr  r   ri  r  s    r  cons_f94r         AbEE1add###r  c                 "    t          | |          S r7  rq  r  s     r  cons_f95r        Ar  c                 <    t          | t          d                    S r  ri  r  s    r  cons_f96r    r  r  c           
          t          t          t          |          t          t          |                                         S r7  r7   r  r   r  s     r  cons_f97r    s.    3x{{C$4$455666r  c                 l   t          t          t          | |z             t          | |z   t	          d          z   t	          d                    t          t          |           t          | t	          d          |z  z   t	          d          z   t	          d                                                  S NrP  r   r{  )r7   r  r   rP   r  r  rT   rS   r  s     r  cons_f98r    s    3xA	!a%!A$$,!(E(Er)TU,,Xdefijklimimnoioeorsturvrvevxyz{x|x|X}X}G~G~  A  A  	Ar  c           	          t          |t          t          t          t          f          rdS t          | ||||||          S r^  )r`  ra  r  rb  r  rU   r:  rC  rX  r  r  rF  r?  s          r  cons_f99r    s<    a#wu566 	51aAq!Q///r  c                    t          t          t          |t          d                    t	          t          |           t          t          |          t          ||          t          |                                                  S r  )r7   r  rQ   r  r  r   r   r   r:  rX  r  rF  s       r  	cons_f100r    s\    3tAquu~~r%((CT!QZZQYZ[Q\Q\4]4]'^'^__```r  c                 b    t          | |z   t          d          z   t          d                    S Nr{  r   r%   r  r  s     r  	cons_f101r    &    q1uqtt|QqTT***r  c                     t          t          t          |           t          t          t	          |                    t          t          d          | |                                        S rh  )r7   r  r   r  r   rQ   r  r  s     r  	cons_f102r    sM    3'**Bs8A;;/?/?addAqAQAQ,R,RSSTTTr  c                     t          t          t          | |z             t          | |z   t	          d          z   t	          d                                        S ry  r7   r  r   rQ   r  r  s     r  	cons_f103r    B    3xAQUQqTT\1Q44(@(@AABBBr  c                 &    t          | |z             S r7  r8  r  s     r  	cons_f104r    r  r  c                 &    t          | |z             S r7  r  rY  s     r  	cons_f105r        Qr  c                 4    t          |  |z  ||z  z             S r7  r  r  s       r  	cons_f106r    s    !A!$$$r  c                      t          |           S r7  r  rL  s    r  	cons_f107r    rs  r  c                 &    t          | |z
            S r7  r8  r  s     r  	cons_f108r    r  r  c                 X    t          t          d          | t          d                    S r  ri  r  s    r  	cons_f109r    r  r  c                 r    t          t          d          t          |           t          d                    S NrR  r  rP   r  r5   r  s    r  	cons_f110r    &    1{1~~qtt444r  c                 &    t          || z            S r7  r  r  s     r  	cons_f111r        AaCyyr  c                 &    t          || z            S r7  r  r  s     r  	cons_f112r    r  r  c                 b    t          | |z   t          d          z   t          d                    S r  r$   r  r  s     r  	cons_f113r    s&    QUQqTT\1Q44(((r  c                 V    t          t          |          t          |                     S r7  )rP   r5   r  s     r  	cons_f114r    s    QQ888r  c                 F    t          | |z   t          d          z             S rO  r  r  s     r  	cons_f115r        A!---r  c                     t          t          | t          d                    t          t          |t          d                                        S r  )r  r   r  r7   r  s     r  	cons_f116r    s:    +a1&&K1Q44,@,@(A(ABBBr  c                 r   t          t          |          t          t          |          t	          t          t          |t          d          dz  z             t          |t          d          z  |t          d          z  z
            t          | | |z  z                                                    S r  )r  r   r  r   r7   r   r  )rC  rX  r  rF  s       r  	cons_f117r    s    (1++s9Q<<Sq1Q446z9J9JERSUVWXUYUYRY\]_`ab_c_c\cRcLdLdfoqrprtuvwtwpxfyfy5z5z1{1{||}}}r  c                 d    t          t          |          t          | | |z  z                      S r7  r  r   r   )rC  rX  r  r  s       r  	cons_f118r    s*    (1++y!QqS22333r  c                 :    t          t          |                     S r7  r7   r   r[  s    r  	cons_f119r    ro  r  c                 H    t          t          | | |z  z                      S r7  r  rC  rX  r  s      r  	cons_f120r    s"    9aR1X&&'''r  c                 b   t          t          t          |          t          t          t	          |t          d          dz  z             t	          | t          d          z  |t          d          z  z
                                          t          t          |                              S r  )r  r  r(   r7   r   r  )rX  r  r  rF  s       r  	cons_f121r    s    #illCE!add1f*,=,=uQ!WqRSTURVRVwEV?W?W(X(X$Y$YZZ\_`ijk`l`l\m\mnnnr  c                 :    t          ||  |z  ||z  z   z            S r7  r  r  s       r  	cons_f122r    "    QBqD1Q3J(((r  c                     t          t          |          t          t          t          |          t	          | |  |z  ||z  z   z                                          S r7  )r  r(   r7   r  r   )r:  rC  rX  r  r  rF  s         r  	cons_f123r    sL    )A,,C	!iQBqD1Q3J6P6P$Q$Q R RSSSr  c                     t          t          |           t          t          |t	          d          z   | t	          d          z                                 S r  )r  r(   r7   r   r  r  s     r  	cons_f124r     s>    )A,,HQ1Xq1Q44x$@$@ A ABBBr  c           	          t          |t          t          t          t          f          rdS t          t          | |t          d                              S NFr   )r`  ra  r  rb  r  r   r4   r  r?  s     r  	cons_f125r  %  sB    a#wu566 	5Aq!A$$//000r  c                 &    t          | |z
            S r7  r8  r  s     r  	cons_f126r  ,  r  r  c                 "    t          | |          S r7  r>  )fr?  s     r  	cons_f127r  1  rA  r  c                 F    t          | |z   t          d          z             S rO  r  rF  rI  s     r  	cons_f128r  6      A!%%%r  c           
          t          | |z  |z  ||z   t          d          z   z  |||z  |t          d          z   z  ||z  |t          d          z   z  z   z  z
            S rz  rQ  r:  rC  rX  r  r  r  rF  rI  s           r  	cons_f129r  ;  s^    QqSUAEAaDDL)AqsA!H~!Q1X/N,OOPPPr  c                      t          |           S r7  r-  rm  s    r  	cons_f130r  @  r/  r  c                 2    t          | |z  ||z  z             S r7  r8  r:  rC  r  r  s       r  	cons_f131r  E  r  r  c                     t          t          t          | |z   t          d          z             t	          | t          d          |z  z   t          d                                        S ry  r7   r  r   r  rR   r  s     r  	cons_f132r  J  sO    3'A!55wq1Q446z1Q447P7PQQRRRr  c           	          t          t          | t          d          z             t          |t          d                              S r  )r  r   r  r$   r  s     r  	cons_f133r  O  s2    (1qtt8$$eAqttnn555r  c                 2    t          | |z  ||z  z             S r7  rI  r  s       r  	cons_f134r  T      !ac	"""r  c                    t          t          t          |                    t          t	          d          |z  t	          d          |z  z   t	          d                    t          ||z   t	          d          z   t	          d                    t          t          ||z   t	          d          z   t	          d                    t          | ||||                              S )Nrq  rp  r   r{  rP  )r  r7   r   rQ   r  rS   r  r(   )r:  rC  r  r  r  rF  rI  s          r  	cons_f135r  Y  s   #hqkk""D1a!A$$q&!A$$$?$?aRSeVWXYVZVZl\]^_\`\`AaAacfgstuxyty|}~  }A  }A  uA  CD  EF  CG  CG  hH  hH  JS  TU  WX  Z[  ]^  `a  Jb  Jb  dc  dc  d  d  	dr  c                    t          t          ||          t          |t          d          z             t	          t          |          t          t          t          |                    t          t          d          |z  t          d          |z  z   t          d          z   t          d                    t          ||z   t          d          z   t          d                    t	          t          ||z   t          d          z   t          d                    t          | |||||                                                  S )Nr  rq  rp  
   r   r{  rP  )r  r   r   r  r  r   r7   r   rP   rS   r(   r  s           r  	cons_f136r  ^  s-   "1a((%AbEE	*:*:C@PQR@S@SUWX[\def\g\gXhXhjstuvwtxtxyztz}~  @A  ~B  ~B  CD  ~D  uD  GH  IK  GL  GL  uL  NO  PQ  NR  NR  kS  kS  Ua  bc  fg  bg  jk  lm  jn  jn  bn  pq  rs  pt  pt  Uu  Uu  wz  {G  HI  LM  HM  PQ  RS  PT  PT  HT  VW  XY  VZ  VZ  {[  {[  ]f  gh  jk  mn  pq  st  vw  ]x  ]x  wy  wy  Vz  Vz  ={  ={  |  |  	|r  c                 F    t          | |z   t          d          z             S rO  rQ  r  s     r  	cons_f137r  c  r  r  c                     t          t          t          | t          d                    t          t          |t          d                                                  S r  r7   r  r   r  r  s     r  	cons_f138r  h  B    3{1add++SQ!1E1E-F-FGGHHHr  c                 <    t          | t          d                    S r  ri  rm  s    r  	cons_f139r  m  r  r  c                    t          t          t          t          |          t	          |t          d                                        t          |          t          t          t          |          t          t          t          |          t          t          t          |           t	          ||                                                                                S r  )r  r7   r  r(   rQ   r  r   r   )rX  r  rF  rI  s       r  	cons_f140r	  r  s    #c)A,,Q"7788(1++s2hWXkk[^_abghibjbjloprsxyzs{s{  ~B  CD  FG  ~H  ~H  qI  qI  mJ  mJ  `K  `K  \L  \L  LM  LM  HN  HN  O  O  	Or  c                 <    t          | t          d                    S r  r   r  rm  s    r  	cons_f141r  w      1add###r  c                 F    t          | |z   t          d          z             S NrR  r  r  s     r  	cons_f142r  |  r  r  c                 F   t          | ||z  |t          d          z   z  ||z  |t          d          z   z  z   z  | |z  |z  ||z   t          d          z   z  |||z  |t          d          z   z  ||z  |t          d          z   z  z   z  z
  z  ||z  | t          d          z  |z  |z  ||z   t          d          z   z  || ||z  |t          d          z   z  ||z  |t          d          z   z  z   z  ||z  |z  z   z  z
  z  ||z   t          d          z   z  z             S )Nr{  r  rP  rR  rQ  r  s           r  	cons_f143r    sg   aR1a!A$$h!A#q1Q44x.891Q3q5!a%!A$$,;ORSUVWXUXZ[^_`a^b^bZbUcfghifiklopqrososksftUtRu;uvyz{|y|~  BC  DE  BF  BF  F  GH  H  IJ  J  LM  PQ  LQ  TU  VW  TX  TX  LX  Y  \]  _`  bc  de  be  gh  kl  mn  ko  ko  go  bp  st  uv  sv  xy  |}  ~  |@  |@  x@  sA  bA  _B  EF  GH  EH  IJ  EJ  _J  \K  K  zL  NO  RS  NS  VW  XY  VZ  VZ  NZ  z[  [  \  \  	\r  c                 F    t          | |z
  t          d          z             S r  rQ  r  s     r  	cons_f144r        QUQrUU]###r  c                 :    t          t          |                     S r7  r7   r   r  s    r  	cons_f145r        #A&&'''r  c                 L    t          | |z   |z   t          d          z             S rO  r  r  rF  rI  s      r  	cons_f146r    #    A	AaDD()))r  c                 X    t          t          d          | t          d                    S Nr   r{  ri  rm  s    r  	cons_f147r          AaDD!QqTT"""r  c                 <    t          | t          d                    S r  r~  rm  s    r  	cons_f148r#    r  r  c                 :    t          t          |                     S r7  r  rm  s    r  	cons_f149r%    r  r  c                      t          |           S r7  r-  r  s    r  	cons_f150r'    r/  r  c                      t          |           S r7  rT   rm  s    r  	cons_f151r*    rs  r  c                 "    t          | |          S r7  r   r  s     r  	cons_f152r-    r  r  c                     t          t          |          t          t          | t	          d                    t          |t	          d                                        S Nr   r  )r  r   r  rR   r  rS   r  s      r  	cons_f153r0    sB    (1++s71add#3#3\!QrUU5K5KLLMMMr  c                    t          t          t          |           t          | t	          d                              t          t          | |z   t	          d          z             t          | t	          d          z             t          t          | t	          d                    t          t          |t	          d                                                            S )Nr  rR  r{  )	r  r  r(   rQ   r  r   r   r   r7   r  s     r  	cons_f154r2    s    #illDAbEENN33Sq1uqtt|9L9LhWX[\]^[_[_W_N`N`bdepqrtuvwtxtxeyey{~  @K  LM  OP  QR  OS  OS  @T  @T  |U  |U  cV  cV  6W  6W  X  X  	Xr  c           
          t          |t          t          t          t          f          rdS t          t          | |||||          |          S r^  ru  r:  rC  rX  r  r  r  r?  s          r  	cons_f155r5    D    a#wu566 	5T!Q1a++Q///r  c                 j    t          t          d          |z  |z  |z  || |z  ||z  z   z  z
            S rO  rQ  r:  rC  rX  r  r  r  s         r  	cons_f156r9    s7    QqTT!VAXaZ!QqS1Q3Y-/000r  c                 F    t          | |z   t          d          z             S r  rQ  r  s     r  	cons_f157r;    r  r  c                     t          |t          t          t          t          f          rdS t          | ||z  z   |||z  z             S r^  r`  ra  r  rb  r  r   r:  rC  rX  r  r?  s        r  	cons_f158r?    B    a#wu566 	5AaCQqS)))r  c                 L    t          | |z   |z   t          d          z             S rO  rQ  r  s      r  	cons_f159rB    #    QUQY1%&&&r  c                     t          t          t          |t          d                    t          t          | t          d                                                  S r  r  r  s     r  	cons_f160rE    r  r  c                 L    t          | |z   |z   t          d          z             S r  rQ  r  s      r  	cons_f161rG    rC  r  c	                     t          | |z  |z  |t          d          z   z  ||z  |z  |t          d          z   z  z   ||z  |z  |t          d          z   z  z             S r  rQ  	r:  rC  rX  r  r  r  r  rF  rI  s	            r  	cons_f162rJ    s_    QqSUA!H%!Aq1Q44x(881Q3q5!add(;KKLLLr  c                     t          t          t          |           t          | t	          d                              t          | t	          d                              S Nr  r{  )r  r  r(   rQ   r  r   r  s    r  	cons_f163rM    s@    #illDAbEENN33[AaDD5I5IJJJr  c                 $    t          | ||          S r7  rq  r  s      r  	cons_f164rO        Aq!!!r  c                 <    t          | t          d                    S rh  r~  rm  s    r  	cons_f165rR    r  r  c           	          t          t          t          d          | z  t          d          |z  t          d          |z            t          | ||z             t          || |z                       S rO  r  r   r  r  s      r  	cons_f166rU    s^    )AaDDFAaDDFAaDDF33Yq!a%5H5H)TUWX[\W\J]J]^^^r  c                 <    t          | t          d                    S r  r~  r  s    r  	cons_f167rW    r  r  c                 <    t          | t          d                    S r  r~  r  s    r  	cons_f168rY    r  r  c                 L    t          | |z   |z   t          d          z             S r  r  r  s      r  	cons_f169r[    r  r  c                 <    t          | t          d                    S rh  r~  r  s    r  	cons_f170r]    r  r  c                     t          t          t          d          | z  t          d          |z  t          d          |z            t          t          | ||z             t          || |z                                 S rO  rT  r  s      r  	cons_f171r_    sf    )AaDDFAaDDFAaDDF33R	!QU8K8KYWXZ[^_Z_M`M`5a5abbbr  c                     t          t          d          | z  t          d          |z  t          d          |z            S rO  r   r  r  s      r  	cons_f172rb    s2    1a1a1a000r  c           	          t          t          |           t          t          d          | z  t          d          |z                      S rO  r  r   r   r  r  s     r  	cons_f173re    6    (1++y1a1a88999r  c                 F    t          | |z   t          d          z             S r  r  r  s     r  	cons_f174rh     r  r  c                    t          t          t          |           t          | t	          d                              t          t          t          |                     t          t          | t	          d                    t          t          |t	          d                                                            S r/  )r  r  r(   rR   r  r7   r   r  s     r  	cons_f175rj  %  s    #illGAqtt$4$455s3y||;L;LbQ\]^`abd`e`eQfQfhklwxy{|}  |A  |A  mB  mB  iC  iC  OD  OD  8E  8E  F  F  	Fr  c                 <    t          | |  |z  ||z  z   z            S r7  r  rX  r  r  r  s       r  	cons_f176rm  *  s$    !aRTAaCZ)))r  c                 V    t          t          | |  |z  ||z  z   z                      S r7  r  rl  s       r  	cons_f177ro  /  s,    9aR!A!_--...r  c                 4    t          |  |z  ||z  z             S r7  rI  rl  s       r  	cons_f178rq  4  rK  r  c                      t          |           S r7  r  r[  s    r  	cons_f179rs  9  rs  r  c                      t          |           S r7  r  )r  s    r  	cons_f180ru  >  rs  r  c                 B    t          t          |  |z                      S r7  r7   r   r  s     r  	cons_f181rx  C      9aRT??###r  c                 (    t          |  |z            S r7  r  r  s     r  	cons_f182r{  H      !Ar  c                 p    t          t          t          |           t          |                              S r7  r7   r  r   rX  r  s     r  	cons_f183r  M  &    3y||Yq\\22333r  c                 :    t          ||  |z  ||z  z   z            S r7  r  r  s       r  	cons_f184r  R  r  r  c                 V    t          t          |  |z  ||z  z    |z                      S r7  rw  r  s       r  	cons_f185r  W  s,    9r!tacz]1_--...r  c                    t          |t          t          t          t          f          rdS t          t          t          |||z  z   | ||z  z             t          | |  |z  ||z  z   z            t          || |z  ||z  z   z            t          t          |  |z  ||z  z   |z                                          S r^  )
r`  ra  r  rb  r  r7   r  r   r   r   r4  s          r  	cons_f186r  \  s    a#wu566 	53xAaCQqS119aR!A!_3M3MyYZ]^\^_`\`cdefcf\fYgOhOhjmnwz{y{|}y}  AB  CD  AD  zD  FG  yG  oH  oH  kI  kI  J  J  K  K  	Kr  c                     t          t          t          ||  |z  ||z  z   z            t          ||  |z  ||z  z   z                                S r7  r~  r8  s         r  	cons_f187r  c  sN    3yQBqD1Q3J00)Ar!taczN2K2KLLMMMr  c                 f    t          t          |  |z            t          |  |z                      S r7  r  r   r   rC  r  r  s      r  	cons_f188r  h  s*    )QBqD//9aRT??333r  c                 f    t          t          |  |z            t          |  |z                      S r7  r  r   r#   r  s      r  	cons_f189r  m  s*    $r!t**dA2a4jj)))r  c                     t          |t          t          t          t          f          rdS t          | ||z  z   |||z  z             S r^  r=  r:  rC  r  r  r?  s        r  	cons_f190r  r  r@  r  c                     t          t          |  |z  ||z  z    |z            t          |  |z  ||z  z    |z                      S r7  r  r8  s         r  	cons_f191r  y  sJ    )qbdQqSjM!O,,i1"Q$1*a.H.HIIIr  c                     t          t          |  |z  ||z  z    |z            t          |  |z  ||z  z    |z                      S r7  r  r8  s         r  	cons_f192r  ~  sJ    $!A!}Q''1qs
mAo)>)>???r  c                 r    t          |  |z  |z  ||z  |z  z
  t          d          |z  |z  |z  z             S rO  rQ  r8  s         r  	cons_f193r    s=    aRT!Vac!e^add1fQhqj0111r  c                 &    t          | |z
            S r7  r-  r  s     r  	cons_f194r        A&&&r  c                 X    t          t          |           t          | |                    S r7  )r  r   r   r  s     r  	cons_f195r    s&    "1%%'71'='=>>>r  c                 L    t          | |z   |z   t          d          z             S rO  r  r  s      r  	cons_f196r    #    A	AaDD 0111r  c                    t          t          | t          d                    t          t	          t          t          |t          d          z             t          |t          d                                        t	          t          t          |t          d          z             t          |t          d                                                            S r  )r  r   r  r  r7   r   r  s      r  	cons_f197r    s    +a1&&CHQ1X4F4FTUWXYZW[W[H\H\0]0],^,^`cdghpqruvwxuyuyqyhzhz  }H  IJ  LM  NO  LP  LP  }Q  }Q  eR  eR  aS  aS  )T  )T  U  U  	Ur  c                      t          |           S r7  r1  r  s    r  	cons_f198r    r/  r  c                 V    t          t          |          t          |                     S r7  r  )r  rI  s     r  	cons_f199r        (1++y||,,,r  c                 .    t          | | |z  z            S r7  r  r  s      r  	cons_f200r    s    !QqS"""r  c           	      p    t          t          |          t          ||  |z  ||z  z   z                      S r7  r  )rX  r  r  r  rI  s        r  	cons_f201r    s2    (1++yQBqD1Q3J88999r  c                     t          |t          t          t          t          f          rdS t          t          t          || |z  ||z  z
  z            t          |||z  z   | ||z  z                                 S r^  	r`  ra  r  rb  r  r7   r  r   r   r>  s        r  	cons_f202r    sl    a#wu566 	53yAaC!A#I//!ac'1qs71K1KLLMMMr  c                 T    t          t          ||  |z  ||z  z   z                      S r7  r  r  s       r  	cons_f203r    *    9Q1qs
^,,---r  c                     t          |t          t          t          t          f          rdS t          t          |||z  z   | ||z  z                       S r^  r`  ra  r  rb  r  r7   r   r>  s        r  	cons_f204r    J    a#wu566 	58A!GQ1W--...r  c                 ,   t          |t          t          t          t          f          rdS t          t          t          || |z  ||z  z
  z            t          || |z  ||z  z   z            t          |||z  z   | ||z  z                                 S r^  r  r4  s          r  	cons_f205r    s    a#wu566 	53yAaC!A#I//1qbdQqSj>1J1JHUVYZ[\Y\U\^_bcdebe^eLfLfgghhhr  c                 *   t          |t          t          t          t          f          rdS t          t          t          || |z  ||z  z
  z            t          |||z  ||z  z
  z            t          |||z  z   | ||z  z                                 S r^  r  r4  s          r  	cons_f206r    s    a#wu566 	53yAaC!A#I//1acAaCi=1I1I8TUXYZ[X[T[]^abcdad]dKeKeffgggr  c                 T    t          t          ||  |z  ||z  z   z                      S r7  r  r  s       r  	cons_f207r    r  r  c                     t          |t          t          t          t          f          rdS t          t          |||z  z   | ||z  z                       S r^  r  r  s        r  	cons_f208r    r  r  c                 X    t          t          |           t          | |                    S r7  r  r   r   r  s     r  	cons_f209r    #    "1%%yA777r  c                 "    t          | |          S r7  r>  )gr?  s     r  	cons_f210r    rA  r  c                 "    t          | |          S r7  r>  )hr?  s     r  	cons_f211r    rA  r  c                     t          t          t          |t          d                    t          t          | t          d                                                  S r  r  r  s     r  	cons_f212r    r  r  c                 p   t          t          t          |           t          | t	          d                              t          t          | |z   t	          d          z             t          t          t          |          t          |t	          d                                                            S )NrR  )r  r  r(   rQ   r  r   r7   r  s     r  	cons_f213r    s    #illDAbEENN33Sq1uqtt|9L9LcRUV_`aVbVbdhijlmnplqlqdrdrRsRsNtNt5u5uvvvr  c                     t          t          t          |           t          t	          d          t
          | t          t	          d                              t          | t	          d                              S )Nr  r  r{  )r  r  r(   r  r  rP   rQ   r   r  s    r  	cons_f214r    sT    #illJquuiD!B%%$P$PQQS^_`bcdebfbfSgSghhhr  c                 F    t          | |z   t          d          z             S r  r  r  s     r  	cons_f215r    r  r  c                 F    t          | |z   t          d          z             S rO  r  r  s     r  	cons_f216r     r  r  c                 \    t          t          | ||          t          ||                    S r7  r  r   r   r  s      r  	cons_f217r    s)    )Aq!$$&6q!&<&<===r  c	                     t          |t          t          t          t          f          rdS t          t          | |||||||          |          S r^  ru  )	r:  rC  rX  r  r  r  r  r  r?  s	            r  	cons_f218r  
  H    a#wu566 	5T!Q1aAq111555r  c                     t          |
t          t          t          t          f          rdS t          t          | |||||||||	
  
        |
          S r^  ru  )r:  rC  rX  r  r  r  r  r  rF  rI  r?  s              r  	cons_f219r    L    a#wu566 	5T!Q1aAq!Q77;;;r  c                     t          |t          t          t          t          f          rdS t          | ||z  z   |||z  z             S r^  r=  )rX  r  r  r  r?  s        r  	cons_f220r    r@  r  c                    t          t          | t          d                    t          t	          t          |t          d                              t	          t          |t          d                                                  S r  )r  r   r  r  r7   r  s      r  	cons_f221r    sa    +a1&&CAqtt0D0D,E,Es;WXZ[\]Z^Z^K_K_G`G`(a(abbbr  c                 "    t          | |          S r7  r,  r  s     r  	cons_f222r  $  r  r  c                      t          |           S r7  r-  r  s    r  	cons_f223r  )  r/  r  c                     t          |t          t          t          t          f          rdS t          t          | |||||||||	|
|          |          S r^  ru  )r:  rC  rX  r  r  r  r  r  r  rF  rI  r  r?  s                r  	cons_f224r  .  P    a#wu566 	5T!Q1aAq!Q1==qAAAr  c                     t          |t          t          t          t          f          rdS t          t          | |||||||||	|
|||          |          S r^  ru  )r:  rC  rX  r  r  r  r  r  r  r  rF  rI  r  r  r?  s                  r  	cons_f225r  5  T    a#wu566 	5T!Q1aAq!Q1aCCQGGGr  c                 "    t          | |          S r7  r>  )r  r?  s     r  	cons_f226r  <  rA  r  c                 `    t          t          d          | z  t          d          z             S rz  r  rm  s    r  	cons_f227r  A  $    !Q1&&&r  c                 n    t          t          d           | z  |z  |t          d          z  z             S r  r  r  s      r  	cons_f228r  F  /    1a	AqttG+,,,r  c                 n    t          t          d           | z  |z  |t          d          z  z             S r  )r   r  r  s      r  	cons_f229r  K  s/    qtteAgai!QqTT'1222r  c           	          t          t          t          d           | z  |z  |t          d          z  z                       S r  )r7   r   r  r  s      r  	cons_f230r  P  s7    >1Q44%'!)a1g"566777r  c                 @    t          t          d          | z            S Nr  rb  rm  s    r  	cons_f231r  U      !Qr  c                 B    t          | t          d          dz            S NrP  r  rm  s    r  	cons_f232r  Z      q!B%%'"""r  c                 n    t          t          d           | z  |z  |t          d          z  z             S r  r   r  r  s      r  	cons_f233r  _  /    QqTTE!GAI1Q44'(((r  c                 l    t          t          d          | z  |t          d          z  |z  z
            S r  r   r  r  s      r  	cons_f234r  d  s-    1a!QqTT'!)+,,,r  c                     t          |t          t          t          t          f          rdS t          t          | |          |          S r^  ru  )rC  rX  r?  s      r  	cons_f235r	  i  r<  r  c                 r    t          t          d          t          |           t          d                    S r  r  rm  s    r  	cons_f236r  p  r  r  c                 Z    t          t          t          d          | z                      S r  r\  rm  s    r  	cons_f237r  u  r^  r  c                 f    t          | t          d          z  t          d          dz  z             S rz  rb  r  s    r  	cons_f238r  z  (    !A$$1a(((r  c                 f    t          | t          d          |z  z   t          d          z             S rz  rQ  r  s     r  	cons_f239r    r   r  c                 f    t          | t          d          |z  z   t          d          z             S rz  r  r  s     r  	cons_f240r    )    AaDDF
QqTT)***r  c                 T    t          |  |z  t          d          |z  |z  z             S rO  r  r   s       r  	cons_f241r    (    1qttAvax(((r  c                 f    t          | t          d          |z  z   t          d          z             S rO  rQ  r  s     r  	cons_f242r    r   r  c                 @    t          | t          d          z             S rO  r  r  s    r  	cons_f243r    r  r  c                 f    t          | t          d          |z  z   t          d          z             S NrP  rR  rQ  r  s     r  	cons_f244r    r   r  c                 F    t          | t          d          dz  z             S rQ  r  rm  s    r  	cons_f245r!    rd  r  c                 "    t          | |          S r7  rq  r  s     r  	cons_f246r#    r  r  c           	      p    t          t          d          t          | t          t          d                    S Nr  r  r  r  rP   rQ   r  s    r  	cons_f247r'    $    !B%%AtQrUU;;;r  c                 @    t          t          d          | z            S rO  rb  rm  s    r  	cons_f248r*    r  r  c                 <    t          | t          d                    S Nr  ri  r  s    r  	cons_f249r-    r  r  c                    t          t          t          | t          d          |z  z   t          d          z             t	          | t          d          |z  z   t          d          z   t          d                                        S NrP  rR  r   r  r  s     r  	cons_f250r0    sm    3'AaDDF
QqTT(9::GA!QJQRSTQUQUDUWXYZW[W[<\<\]]^^^r  c                 F    t          | t          d          |z  z             S rO  r  r  s     r  	cons_f251r2    rd  r  c                     t          t          t          |           t          | t	          d                                        S r,  r7   r  r(   rQ   r  r  s    r  	cons_f252r5    .    3y||T!QrUU^^44555r  c                     t          t          t          |           t          t	          d          | t	          d          |z                                S Nr   rP  r  r  s     r  	cons_f253r9    s<    3x{{D1q!A$$q&$9$9::;;;r  c           	      p    t          t          d          t          | t          t          d                    S r  r  r  rQ   rP   r  s    r  	cons_f254r<    s$    !A$$aAaDD999r  c                 F    t          | |z   t          d          z             S r  r  r  s     r  	cons_f255r>    r  r  c                    t          t          t          |                    t          t	          d          t
          |t          t	          d                    t          t          |           t          t	          d          | t	          d          |z                      t          t          | t	          d          dz            t          |t	          d                                        S Nr  r   rP  r{  )
r  r7   r(   r  r  rP   rQ   r  r   r$   r  s     r  	cons_f256rA    s   #ill##Z"y!T1Q44%P%PRUV^_`VaVacghijkhlhlnoqrstququvwqwcxcxRyRy{~  @E  FG  IJ  KL  IM  IM  NO  IO  @P  @P  RV  WX  Z[  \]  Z^  Z^  R_  R_  |`  |`  a  a  	ar  c                 v    t          t          |           t          t          d          |z                      S rO  r  r   r  r  s     r  	cons_f257rD    s*    (1++x!Q//000r  c                     t          | |t          d          z  z  ||z  |z  z
  ||t          d          z  z  z             S rO  rQ  r:  rC  rX  r  r  s        r  	cons_f258rG    r  r  c                 r    t          | |t          d          z  z  ||t          d          z  z  z             S rO  rQ  r:  rX  r  r  s       r  	cons_f259rJ    1    Qq!A$$wY1add7*+++r  c                     t          t          |          t          t          |           t          |          t          ||z                                 S r7  rU  r:  r  r  rI  s       r  	cons_f260rN    s:    (1++s9Q<<1xAOOPPPr  c           
          t          t          t          d          |  |          t          ||  t          d                              S rh  r  rQ   r  r  s     r  	cons_f261rQ    s:    $qttaR##T!aR1%6%6777r  c                 <    t          | t          d                    S rO  r  r  s    r  	cons_f262rS    r  r  c                 <    t          | t          d                    S r  r  r  s    r  	cons_f263rU        q!B%%   r  c                 &    t          | |z             S r7  r-  r  s     r  	cons_f264rX    r  r  c                 f    t          | t          d          |z  z   t          d          z             S rO  r  r  s     r  	cons_f265rZ    )    AaDDF
QqTT 1222r  c           	          t          t          | t          d                    t          | t          d          |z  z   t          d          z                       S Nr  rP  r{  r  rQ   r  r   r  s     r  	cons_f266r_    sA    $q!B%%..%AaDDF
QqTT(9":":;;;r  c                     t          t          t          d          t          | t          t          d                    t          | |z   t          d          z   t          d                              S )Nr  r   r{  r  r  r  rP   rQ   r$   r  s     r  	cons_f267rb    sP    *QrUUIq$!==uQUQqTT\STUVSWSW?X?XYYYr  c                 <    t          | t          d                    S r  rS   r  r  s    r  	cons_f268re    s    Aqtt$$$r  c                 <    t          | t          d                    S rh  ri  r  s    r  	cons_f269rg        Aqtt}}r  c                      t          |           S r7  r  r  s    r  	cons_f270rj    rs  r  c                     t          t          t          | t          d          z             t	          |t          d                                        S )Nr  r{  )r7   r  r   r  r%   r  s     r  	cons_f271rl    <    3uQ2Y''AaDD)9)9::;;;r  c                 f    t          | t          d          |z  z   t          d          z             S r  r  r  s     r  	cons_f272ro  $  r  r  c                     t          t          t          |           t          | t	          d          |z  z   t	          d          z   t	          d                                        S r/  )r7   r  r   rQ   r  r  s     r  	cons_f273rq  )  sI    3uQxxa!A$$q&j1Q44&71!>!>??@@@r  c                     t          t          t          |           t          | t	          d                                        S r  r4  r  s    r  	cons_f274rs  .  r6  r  c                 (   t          t          t          | t          d          z  t          d          dz  z             t	          t          t          |                    t          | t          d          |z                                          S NrP  r  )r7   r  r   r  r  r   rQ   r  s     r  	cons_f275rv  3  sp    3'!A$$2q(8992c(1++>N>NPTUVXYZ[X\X\]^X^P_P_;`;`aabbbr  c                     t          t          t          |           t          | t	          d                                        S r  r7   r  r(   rR   r  r  s    r  	cons_f276ry  8  0    3y||WQ!%5%566777r  c                 t    t          |t          d           | z  |z  |t          d          z  z   z            S r  r   r  r  s      r  	cons_f277r}  =  s4    QqTTE!GAI1Q44/0111r  c                 b    t          | t          d          z  t          d          dz            S NrP  r{  r  r|  r  s    r  	cons_f278r  B  s&    1add7AaDDF###r  c           	          t          t          t          d          |z            t          t          |           t	          |                    t          |                     S rO  )r  r   r  r  r(   r   r  s     r  	cons_f279r  G  sB    (1Q446""CYq\\$B$BDGGLLLr  c           
         t          t          t          d          |z            t          t          |           t	          |                    t          | t          d          z  |z   t          d          dz  z                       S r  )r  r   r  r  r(   r  s     r  	cons_f280r  L  si    (1Q446""CYq\\$B$BHQqQRttVVWZZ[\]Z^Z^_`Z`M`DaDabbbr  c                     t          | |t          d          z  z  ||z  |z  z
  ||t          d          z  z  z             S rO  r  rF  s        r  	cons_f281r  Q  >    !QqTT'	AaCE)Aa1gI5666r  c                 r    t          | |t          d          z  z  ||t          d          z  z  z             S rO  r  rI  s       r  	cons_f282r  V  1    !QqTT'	Aa1gI-...r  c                     t          t          t          | t          d          z             t	          |t          d                                        S rL  )r7   r  r   r  rR   r  s     r  	cons_f283r  [  rm  r  c                 n    t          t          d           | z  |z  |t          d          z  z             S r  )r   r  r  s      r  	cons_f284r  `  /    !A$$qQ!W,---r  c                 (    t          |  |z            S r7  )r   rY  s     r  	cons_f285r  e  r|  r  c           	          t          t          t          d           | z  |z  |t          d          z  z                       S r  )r7   r   r  r  s      r  	cons_f286r  j  7    9addU1WQYAaDD011222r  c                 B    t          t          |  |z                      S r7  )r7   r   rY  s     r  	cons_f287r  o  ry  r  c           	      r    t          t          |           t          |t          d                              S rO  )r  r   rR   r  r  r  s     r  	cons_f288r  t  (    (1++wq!A$$//000r  c                     t          t          t          |           t          | t	          d                                        S r  r7   r  r(   rP   r  rm  s    r  	cons_f289r  y  0    3y||Yq!B%%%8%899:::r  c                 2    t          | |z  ||z  z             S r7  r8  r:  rC  r  r  s       r  	cons_f290r  ~  r  r  c                 2    t          | |z  ||z  z             S r7  r8  r   s       r  	cons_f291r    r  r  c                 F    t          | |z
  t          d          z             S r  r  r  s     r  	cons_f292r    r  r  c                 4    t          |  |z  ||z  z             S r7  rI  r   s       r  	cons_f293r    rK  r  c                 b    t          | t          d          z  t          d          dz            S r  r  r  s    r  	cons_f294r    &    Q!Wadd1f%%%r  c                      t          |           S r7  r  r[  s    r  	cons_f295r    rs  r  c                      t          |           S r7  rq  rL  s    r  	cons_f296r    rs  r  c                 f    t          | t          d          z  t          d          dz  z             S NrP  r  r  rQ  r  s    r  	cons_f297r    )    Q!WquuQw&'''r  c                     t          | t          d          |z  z   t          d          z   t          d                    S ry  r  r  s     r  	cons_f298r    s1    Q1aZ!A$$&!---r  c                     t          |t          t          t          t          f          rdS t          t          | |||          |          S r^  ru  )r:  rX  r  r  r?  s        r  	cons_f299r    @    a#wu566 	5T!Q1%%q)))r  c                     t          t          |          t          t          |           t	          | t          d                                        S r  )r  r   r  r(   rQ   r  r  s     r  	cons_f300r    s6    (1++s9Q<<a2@@AAAr  c                     t          t          | t          d          |z  z   t          d          z                       S rz  r7   r   r  r  s     r  	cons_f301r    2    #A!QJ1$566777r  c           
          t          |t          t          t          t          f          rdS t          | |||||||          S r^  )r`  ra  r  rb  r  r  r:  rC  rX  r  r  r  rI  r?  s           r  	cons_f302r    s>    a#wu566 	5Q1aAq!444r  c           
          t          |t          t          t          t          f          rdS t          | t          d          ||||||          S r  )r`  ra  r  rb  r  r  r  r:  rX  r  r  r  rI  r?  s          r  	cons_f303r    sD    a#wu566 	5Q!aAq!Q777r  c           	          t          t          t          |                     t          | t	          d                              S r  r  r7   r(   rQ   r  r  s    r  	cons_f304r    s.    #ill##T!QqTT]]333r  c                 `    t          t          | t          d          |z  z                       S rO  r  r  s     r  	cons_f305r    '    #A!QJ//000r  c                 
   t          t          | t          d                    t          t	          | t          d          |z  z   t          d          z             t          | t          d                                        S Nr{  rP  rR  )r  rQ   r  r  r   r%   r  s     r  	cons_f306r    sa    $q!A$$--%5a!A$$q&j1Q446G%H%H'RSUVWXUYUYJZJZ![![\\\r  c           
          t          t          |           t          | t          d                    t	          | t          d                              S )Nr{  r  )r  r(   rR   r  r   r  s    r  	cons_f307r    s:    )A,,1Q44 0 0+a22G2GHHHr  c                 l   t          |t          t          t          t          f          rdS t          t          t          |          t          |t          d                    t          | |||||||                    t          t          |t          d                    t          |          t          |t          d          z                       t          t          |t          d          |z  z   t          d          z             t          |t          d          z                                 S )NFr  r{  rP  rR  r`  ra  r  rb  r  r  r  r(   rQ   r  r  r   r   r   r   r  s           r  	cons_f308r    s   a#wu566 	5#illDAbEENNM!Q1aQRTUWX4Y4YZZ\_`klmopqrosos`t`tv~  @A  wB  wB  DL  MN  QR  ST  QU  QU  MU  DV  DV  ]W  ]W  Y\  ]m  no  rs  tu  rv  rv  wx  rx  nx  {|  }~  {  {  n  ]@  ]@  BJ  KL  OP  QR  OS  OS  KS  BT  BT  YU  YU  V  V  	Vr  c                    t          |t          t          t          t          f          rdS t          t          t          |          t          |t          d                    t          | t          d          ||||||                    t          t          |t          d                    t          |          t          |t          d          z                       t          t          |t          d          |z  z   t          d          z             t          |t          d          z                                 S )NFr  r   r{  rP  rR  r  r  s          r  	cons_f309r    s   a#wu566 	5#illDAbEENNM!QqTT1aQRTUWXZ[4\4\]]_bcnoprsturvrvcwcw  zB  CD  zE  zE  GO  PQ  TU  VW  TX  TX  PX  GY  GY  `Z  `Z  \_  `p  qr  uv  wx  uy  uy  z{  u{  q{  ~  @A  ~B  ~B  qB  `C  `C  EM  NO  RS  TU  RV  RV  NV  EW  EW  \X  \X  Y  Y  	Yr  c                    t          t          d           | z  |z  |t          d          z  z  |t          d          z  |t          d          z  z  z   ||z  |z  |z  z
  |t          d          z  |t          d          z  z  z             S rQ  rQ  rF  s        r  	cons_f310r    s~    addU1WQYq!A$$w&AaDDAaDD81Q3q57BQ!WQPQRSPTPTW_TUUUr  c                     t          ||t          d          z  z  |  |z  t          d          |z  |z  z   z            S rO  r  r   s       r  	cons_f311r    ;    Aa1gIr!tadd1fQh/000r  c                     t          t          d           | z  |t          d          z  z  ||t          d          z  z  z             S rQ  rQ  rI  s       r  	cons_f312r    s=    addU1WQ!W_qAaDDy0111r  c                     t          ||t          d          z  z  |  |z  t          d          |z  |z  z   z            S rO  r#   r  r   s       r  	cons_f313r    r  r  c                 <   t          t          d          | z  |z  |t          d          z  z  t          d          |t          d          z  z  |t          d          z  z  z
  ||z  |z  |z  z
  |t          d          z  |t          d          z  z  z             S Nrp  rP  rQ  rF  s        r  	cons_f314r         QqTT!VAXa1g%!Q!WQ!W(<<qs1uQwFAaDDQRTUVWTXTXQXXYYYr  c           	          t          t          t          d          | z  |t          d          z  |z  z
                      S r  r7   r   r  r  s      r  	cons_f315r    s5    9QqTT!Va1gai/00111r  c                 Z    t          t          t          d          | z                      S rO  r\  rm  s    r  	cons_f316r  
  r^  r  c                 4    t          |  |z  ||z  z             S r7  rI  r  r  r  r  s       r  	cons_f317r    rK  r  c                 T    t          |  |z  t          d          |z  |z  z             S rO  rQ  rC  rX  r  r  s       r  	cons_f318r    r  r  c                     t          t          t          |           t          | t	          d                                        S rh  rx  r  s    r  	cons_f319r    rz  r  c                    t          t          t          |                    t          t	          |t          d                    t          t          t          |                     t          | t          d           |z  t          d          z             t          | t          d           |z  t          d          z                                           S )Nr   rP  r  r  )	r  r7   r(   r  rR   r  r   rS   rQ   r  s     r  	cons_f320r    s    #ill##SAaDD)9)92c(1++>N>NP\]^abcdaeae`efg`gjklnjojo`oPpPprvwx{|}~{{z  AB  {B  EF  GI  EJ  EJ  {J  sK  sK  <L  <L  &M  &M  N  N  	Nr  c                 f    t          | t          d          |z  z   t          d          z             S rO  r  r  s     r  	cons_f321r  #  r  r  c           
          t          t          t          |                    t          | t	          d          |z  t	          d          z                       S rO  r  r  s     r  	cons_f322r  (  s>    #ill##T!QqTT!Vadd]%;%;<<<r  c                 T    t          |  |z  t          d          |z  |z  z             S rO  r  r  s       r  	cons_f323r  -  r  r  c                 <    t          | t          d                    S rh  ri  rm  s    r  	cons_f324r  2  rh  r  c                 |   t          t          t          |t          d          |z  z   t          d          z             t	          |t          d          z                       t          t          |  |z  t          d          |z  |z  z             t	          |t          d          z                                 S NrP  r{  r  )r  r  r   r  r   )rC  rX  r  r  r  rI  s         r  	cons_f325r  7  s    #eA!QJ1-..QqTT0B0BCCSPQrRStVWXYVZVZ[\V\]^V^I_I_aijknoprnsnsjsatatEuEuvvvr  c                     t          |t          t          t          t          f          rdS t          t          t          |t          d          z             t          |||z  z   | ||z  z                                 S NFr  )
r`  ra  r  rb  r  r7   r  r   r  r   r  r  r  r  r  r?  s         r  	cons_f326r   <  sf    a#wu566 	53uQ2Y''!ac'1qs7)C)CDDEEEr  c                     t          t          |          t          t          |           t          |          t	          ||z                                 S r7  )r  r   r  r   r   rM  s       r  	cons_f327r  C  s:    (1++s9Q<<1uQU||LLMMMr  c           	          t          ||t          d          z   z  |  |z  t          d          |z  |z  z   z  |||z  |z  ||  |z  ||z  z   z  z   z  z             S r  rQ  )rC  rX  r  r  r  r  r  rI  s           r  	cons_f328r  H  sd    QAaDD\A2a4!A$$q&(?3a1QQBqD1Q3J9O6PPQQQr  c                     t          t          d          |z  |z  |t          d          z   z  || |z  ||z  z   z  z             S rz  rQ  )r  r  r  r  r  rI  s         r  	cons_f329r  M  sB    QqTT!VAXq1Q44x(1acAaCi=8999r  c                 <    t          | t          d                    S r  r  r  s    r  	cons_f330r  R      1aee$$$r  c                    t          t          t          |           t          | t	          d                    t          t          | |z   t	          d          z                                 t          t          | |          t          | t	          d                    t          |t	          d                              t          | t	          d          |z  z   t	          d          z                       S )Nr  r{  r   rP  )r  r  r(   rQ   r  r7   r   r   r  s     r  	cons_f331r  W  s<   #illDAbEENNC8HQQRSTQUQU8V8V4W4WXXZ]^ghikl^m^mostuwxyzw{w{o|o|  C  DE  GH  IK  GL  GL  M  M  [N  [N  PU  VW  Z[  \]  Z^  Z^  _`  Z`  V`  cd  ef  cg  cg  Vg  Ph  Ph  i  i  	ir  c                 r    t          | |t          d          z  z  ||t          d          z  z  z             S rO  rQ  )r:  rX  r  r  s       r  	cons_f332r  \  rK  r  c                 <    t          | t          d                    S r,  ri  rm  s    r  	cons_f333r  a  r  r  c           
          t          t          t          d          |  |t          d          z             t          ||  t          d                              S r  rP  r  s     r  	cons_f334r  f  sD    $qttaRQqTT**DQB!,=,=>>>r  c                 F    t          | t          d          |z  z             S rO  r  r  s     r  	cons_f335r  k  r  r  c                 R    t          |  |z  |z  ||z  |z  z   ||z  |z  z             S r7  r8  )rC  rX  r  r  r  r  s         r  	cons_f336r  p  3    aRT!Vac!e^ac!e+,,,r  c                 F    t          | |z
  t          d          z             S r  r  r  s     r  	cons_f337r  u      A"&&&r  c                 2    t          | |z  ||z  z             S r7  r8  r  s       r  	cons_f338r  z  r  r  c                 F    t          | |z
  t          d          z             S r,  rQ  r  s     r  	cons_f339r    r  r  c                 "    t          | |          S r7  rq  r  s     r  	cons_f340r    r  r  c                     t          t          t          | |z             t          | |z   t	          d          z   t	          d                                        S ry  r7   r  r   rP   r  r  s     r  	cons_f341r"    sB    3xA	!a%!A$$,!(E(EFFGGGr  c                 :    t          t          |                     S r7  r  r  s    r  	cons_f342r$    r  r  c                     t          t          t          | |z             t          | |z   t	          d          z   t	          d                                        S ry  r  r  s     r  	cons_f343r&    r  r  c                 v    t          t          t          d          |z            t          |                     S rO  rC  r  s     r  	cons_f344r(    s*    (1Q446""HQKK000r  c                 F    t          | |z   t          d          z             S r  rQ  r  s     r  	cons_f345r*    r  r  c                     t          | |z  |z  |t          d          z   z  ||z  |z  t          d          |z  |z   t          d          z   z  z
  ||z  |z  |t          d          z   z  z             S r  rQ  )rC  rX  r  r  r  r  rF  rI  s           r  	cons_f346r,    so    QqSUA!H%!AqttAvzAaDD/@(AAAaCE1qQRtt8DTTUUUr  c                     t          |  |z  t          d          |z  |z   t          d          z   z  ||z  |t          d          z   z  z             S NrP  rR  r{  rQ  )r  r  r  r  rF  rI  s         r  	cons_f347r/    sK    aRT1Q446A:!,-!Q1X>???r  c                     t          t          t          |           t          | t	          d                                        S r  r4  r  s    r  	cons_f348r1    r6  r  c                 F    t          | t          d          dz  z             S r  rb  rm  s    r  	cons_f349r3        AbEE!G$$$r  c                     t          t          t          | t          d                    t          |t          d                                        S rh  )r7   r  rQ   r  r  s     r  	cons_f350r6    s6    3tAqtt}}d1addmm44555r  c                 B    t          | t          d          dz            S r  r  rm  s    r  	cons_f351r8        q!A$$q&!!!r  c                     t          t          d           | z  |z  |z  |||z  ||z  z   z  z   t          d          |z  |z  |z  z
            S rO  rQ  r:  rC  rX  r  r  r  r  s          r  	cons_f352r<    sP    addU1WQYq[1acAaCi=01Q446!8A:=>>>r  c                 >    t          | |z  |z  ||z  |z  z             S r7  r8  r:  rX  r  r  r  r  s         r  	cons_f353r?    $    QqSUQqSU]###r  c                     t          t          t          |t          d                    t	          t          |          t          |  |z  t          d          |z  |z  z                                           S r  )r7   r  r$   r  r  r   )rC  rX  r  r  r  s        r  	cons_f354rB    sX    3uQ!~~r%((E1"Q$1a/4J4J'K'KLLMMMr  c           
          t          t          t          |t          d                    t	          |                               S r  r7   r  r$   r  r   r  s     r  	cons_f355rE    s.    3uQ!~~uQxx00111r  c                 J   t          t          d           | z  |z  |z  |z  |t          d          z  |z  |z  |t          d          z   z  z   |t          d          |z  t          d          z   z  | ||z  ||z  z   z  t          d          |z  |z  |z  z   z  z             S r  rQ  )r:  rC  rX  r  r  r  r  rI  s           r  	cons_f356rG    s    addU1WQYq[]Q!WQYq[!add(%;;a1a!A$$>ORSQSUVWXUX[\]^[^U^Q_bcdebfbfghbhijbjklblQl>mmnnnr  c                     t          | |z  |z  ||z  |z  t          d          |z  t          d          z   z  z
            S r  rQ  )r:  rX  r  r  r  r  rI  s          r  	cons_f357rI    s>    QqSUQqSUAaDDFQqTTM22333r  c                 :    t          t          |                     S r7  rl  r  s    r  	cons_f358rK    ro  r  c                 :    t          t          |                     S r7  r  rm  s    r  	cons_f359rM    r  r  c                 &    t          | |z
            S r7  r8  r  s     r  	cons_f360rO    r  r  c                 b    t          | t          d          |z  z   t          d                    S ry  ri  r  s     r  	cons_f361rQ    s&    A!QJ!%%%r  c                     t          t          | t          d          |z  z   t          d          z                       S r  r  r  s     r  	cons_f362rS    r  r  c                 0   t          t          t          |           t          | t	          d                              t          |t	          d                    t          t          |          t          t          |                                         S rL  )r  r  r(   rQ   r  r$   r   r7   r  s     r  	cons_f363rU    sd    #illDAbEENN33U1add^^SRSVYZcdeZfZfVgVgEhEhiiir  c           
          t          t          |           t          |          t          t          d          | z  t          d          |z                      S rO  rd  r  s     r  	cons_f364rW    s>    (1++x{{Iadd1fadd1f,E,EFFFr  c                     t          t          |          t          t          |                     t	          t          d          t          | t          t          d                              S r  )r  r   r7   r(   r  r  rP   rQ   r  s     r  	cons_f365rY    sI    (1++s9Q<<00*QrUUIqRVXYZ[X\X\2]2]^^^r  c	                 L   t          t          t          |t          d                    t          |t          d                    t	          | ||||||                    t          t          |t          d          |z  z   t          d          z                                 S NrP  r  rR  r  r  r$   r  r(   r7   r   )	r:  rC  rX  r  r  r  r  r  rI  s	            r  	cons_f366r]    s    #eAqttnneAquuooyAq!QPQST7U7UVVX[\lmnqrstququvwqwmwz{|}z~z~m~\\  YA  YA  B  B  	Br  c                 J   t          t          t          |t          d                    t          |t          d                    t	          | |||||                    t          t          |t          d          |z  z   t          d          z                                 S r[  r\  )r:  rX  r  r  r  r  r  rI  s           r  	cons_f367r_    s    #eAqttnneAquuooyAq!QPQ7R7RSSUXYijknopqnrnrstntjtwxyzw{w{j{Y|Y|U}U}~~~r  c                     t          |t          t          t          t          f          rdS t          t          t          |t          d                    t          | ||z  z   |||z  z                                 S NFr{  
r`  ra  r  rb  r  r7   r  r$   r  r   r  s         r  	cons_f368rc    b    a#wu566 	53uQ!~~xAaCQqS'A'ABBCCCr  c                      t          |           S r7  r)  r  s    r  	cons_f369rf    rs  r  c                     t          |t          t          t          t          f          rdS t          t          t          |t          d                    t          |||z  z   | ||z  z                                 S ra  rb  r  s         r  	cons_f370rh    rd  r  c                 f    t          | t          d          |z  z   t          d          z             S r  r  r  s     r  	cons_f371rj  #  r[  r  c                 x    t          t          d          |z  | |z
  z  ||z
  t          d          z  z
            S r  rQ  rF  s        r  	cons_f372rl  (  s5    QqTT!VQU^q1uqttm3444r  c                 r    t          ||z  ||z
  z  t          d          |z  |  |z  ||z  z   z  z
            S rO  rQ  )r:  rC  r  r  r  r  s         r  	cons_f373rn  -  s>    QqS!a%[1Q446A2a4!A#:#66777r  c                 4    t          |  |z  ||z  z             S r7  rI  r  s       r  	cons_f374rp  2  rK  r  c                     t          |t          t          t          t          f          rdS t          t          | |||          |          S r^  ru  )r:  rX  r  r  r?  s        r  	cons_f375rr  7  r  r  c           	          t          |t          t          t          t          f          rdS t          t          | ||||          |          S r^  ru  )r:  rX  r  r  r  r?  s         r  	cons_f376rt  >  B    a#wu566 	5T!Q1a((!,,,r  c                 $    t          | ||          S r7  r,  r  s      r  	cons_f377rw  E  rP  r  c                 "    t          | |          S r7  r,  r  s     r  	cons_f378ry  J  r  r  c           	          t          t          |          t          t          |           t          |                              S r7  rU  )r  r  r  s      r  	cons_f379r{  O  rW  r  c                 X    t          t          |          t          | |                    S r7  )r  r   r   r  s      r  	cons_f380r}  T  s     (1++yA///r  c                     t          |t          t          t          t          f          rdS t          t          | ||||||          |          S r^  ru  )r:  rX  r  r  r  r  rI  r?  s           r  	cons_f381r  Y  F    a#wu566 	5T!Q1aA..222r  c                     t          |
t          t          t          t          f          rdS t          t          | |||||||||	
  
        |
          S r^  ru  )r:  rC  rX  r  r  r  r  r  rF  rI  r?  s              r  	cons_f382r  `  r  r  c
                     t          |	t          t          t          t          f          rdS t          t          | ||||||||	  	        |	          S r^  ru  )
r:  rX  r  r  r  r  r  rF  rI  r?  s
             r  	cons_f383r  g  J    a#wu566 	5T!Q1aAq!44a888r  c                 4    t          |  |z  ||z  z             S r7  r8  r:  rX  r  r  s       r  	cons_f384r  n  r  r  c                 4    t          |  |z  ||z  z             S r7  r8  r  s       r  	cons_f385r  s  r  r  c                 \    t          t          |          t          | |z                      S r7  r  )rX  r  rI  s      r  	cons_f386r  x  "    (1++y1~~...r  c                 j   t          |t          t          t          t          f          rdS t          t          t          |                    t          t          |||z  z   ||t          d          z  z  z             t          | ||z  z   ||t          d          z  z  z                                 S NFrP  )r`  ra  r  rb  r  r  r7   r   rP   rx   r  )r:  rC  rX  r  r  r  r  r?  s           r  	cons_f387r  }  s    a#wu566 	5#hqkk""IiAaC!AqttG)8K.L.LiXY\]^_\_X_bcdeghijgkgkdkbkXkNlNl$m$mnnnr  c                 :    t          t          |                     S r7  r  r  s    r  	cons_f388r    r  r  c                 @    t          t          | |z                      S r7  r  )rX  r  s     r  	cons_f389r        9QqS>>"""r  c           	         t          |t          d           |z  |z  |t          d          z  |t          d          z   z  z   z  |t          d          |z  t          d          z   z  t          d          | z  |z  ||z  z
  z  z             S r  rQ  r:  rC  rX  r  r  r  r  s          r  	cons_f390r    s    Q1a	AqttGQ1X$667!QqTT!Vadd]:KQqTTRSVTUXXYZ[X[^:\\]]]r  c                 @    t          | t          d          z             S r  r  r  s    r  	cons_f391r    r  r  c                 `    t          t          d          | z  t          d          z             S r  r  r  s    r  	cons_f392r    r  r  c           
      ,   t          t          d          | z  |t          d          z  z  t          d          |z  t          d          z   z  |t          d           |z  |z  |t          d          z  |t          d          z   z  z   z  z             S r  rQ  r:  rX  r  r  r  r  s         r  	cons_f393r    s}    QqTT!VAqttG^QqTT!Vadd]3a!A$$qQ!WaRSTURVRVhEW9W6XXYYYr  c                     t          t          d          | z  |z  |z  t          d          | z  |z  z   ||z  z
            S r  rQ  r:  rX  r  r  r  s        r  	cons_f394r    s>    QqTT!VAXaZ!A$$q&(*QqS0111r  c                 @    t          | t          d          z             S rO  r  r  s    r  	cons_f395r        AaDD)))r  c                 n    t          t          d           | z  |z  |t          d          z  z             S r  r  )r  r  r  s      r  	cons_f396r    r  r  c                      t          |           S r7  rq  r  s    r  	cons_f397r    rs  r  c                 <    t          | t          d                    S r  ri  r  s    r  	cons_f398r    r  r  c           	         t          |t          d           |z  |z  |t          d          z  |t          d          z   z  z   z  |t          d          |z  t          d          z   z  t          d          | z  |z  ||z  z
  z  z             S r  r  r  s          r  	cons_f399r    s    AaDD5719q!A$$wAaDD'99:Q!Q1=NPQRSPTPTUVPVWXPX[\]^[^P^=__```r  c           
      ,   t          t          d          | z  |t          d          z  z  t          d          |z  t          d          z   z  |t          d           |z  |z  |t          d          z  |t          d          z   z  z   z  z             S r  r  r  s         r  	cons_f400r    s    !Qq!A$$w!Q16QqTTE!GAI1Q44QRUVWXUYUYQYHZ<Z9[[\\\r  c                     t          t          d          | z  |z  |z  t          d          | z  |z  z   ||z  z
            S r  r  r  s        r  	cons_f401r    s>    !Qq
QqTT!VAX-!3444r  c                 :    t          t          |                     S r7  r  r  s    r  	cons_f402r    r  r  c                     t          t          t          |           t          | t	          d                                        S r  r  r  s    r  	cons_f403r    r  r  c                 "    t          | |          S r7  rq  r  s     r  	cons_f404r    r  r  c                 <    t          | t          d                    S rh  r~  r  s    r  	cons_f405r    r  r  c                     t          |  |z  ||z  z    | |z  ||z  z   z  |  |z  ||z  z   t          d          z  z             S rO  r  r8  s         r  	cons_f406r    sQ    1"Q$1*r!tacz2qbdQqSj1Q445GGHHHr  c                     t          t          t          t          |                     t          |          t          |t	          d                                        S r  r  r  s     r  	cons_f407r    s>    3s8A;;''!d1aeennEEFFFr  c                     t          |t          d          z  |z  |z  |  |z  ||z  z   t          d          z  z             S rO  r  r:  rC  rX  r  r  s        r  	cons_f408r    s@    1Q44	!r!taczAaDD&88999r  c                     t          | |z  |t          d          z  z  |  |z  ||z  z   t          d          z  z             S rO  r  )r:  rX  r  r  r  s        r  	cons_f409r    s@    !AqttGr!taczAaDD&88999r  c                 &    t          | |z             S r7  rI  r  s     r  	cons_f410r    r  r  c                     t          t          d          | z  t          d          |z  z   t          d          z             S rz  r  r  s     r  	cons_f411r    3    !Q1a!A$$.///r  c                 4    t          |  |z  ||z  z             S r7  r8  rC  rX  r  r  s       r  	cons_f412r    r  r  c                 4    t          |  |z  ||z  z             S r7  rI  r  s       r  	cons_f413r  	  rK  r  c                 (    t          |  |z            S r7  r  rY  s     r  	cons_f414r  	      QBqDzzr  c                 n    t          t          d           | z  |z  |t          d          z  z             S r  r  r  s      r  	cons_f415r  	  r  r  c                 (    t          |  |z            S r7  r  rY  s     r  	cons_f416r  	  r  r  c	                     t          |t          t          t          t          f          rdS t          t          | |||||||          |          S r^  ru  )	r:  rC  rX  r  r  r  rI  r  r?  s	            r  	cons_f417r  	  r  r  c                     t          |t          t          t          t          f          rdS t          t          | ||||||          |          S r^  ru  )r:  rX  r  r  r  rI  r  r?  s           r  	cons_f418r  	  r  r  c                     t          | |t          d          z  z  ||z  |z  z
  ||t          d          z  z  z             S rO  rQ  r:  rC  rX  r  r  s        r  	cons_f419r  #	  r  r  c                     t          | t          d          z  |z  |t          d          z  z  | |z  |z  |z  |z  z
  |t          d          z  |z  |t          d          z  z  z             S rO  rQ  r:  rX  r  r  r  r  r  s          r  	cons_f420r  (	  sd    Q!WQYq!A$$w&1Qq2Q!WQYq!A$$w5FFGGGr  c                 r    t          | |t          d          z  z  ||t          d          z  z  z             S rO  rQ  r:  rX  r  r  s       r  	cons_f421r  -	  rK  r  c                     t          | t          d          z  |z  |t          d          z  z  |t          d          z  |z  |t          d          z  z  z             S rO  rQ  )r:  rX  r  r  r  r  s         r  	cons_f422r  2	  sO    Q!WQYq!A$$w&AaDD1add7)::;;;r  c                     t          | |t          d          z  z  ||z  |z  z
  ||t          d          z  z  z             S rO  rQ  )r:  rC  rX  r  r  s        r  	cons_f423r  7	  r  r  c                 r    t          | |t          d          z  z  ||t          d          z  z  z             S rO  rQ  r:  rX  r  r  s       r  	cons_f424r  <	  rK  r  c           
      
   t          | |z  |z  ||z   t          d          z   z  || |z  |t          d          |z  z   t          d          z   z  t          d          |z  |z  |t          d          z   z  z   z  z             S r.  rQ  )rC  rX  r  r  r  r  r  rI  s           r  	cons_f425r  A	  s    QqSUAEAaDDL)Ar!tQ1aZ!A$$5F/G!A$$q&QR(TUXYZ[X\X\T\J]/],^^___r  c	           
          t          ||z  |z  |t          d          z   z  || |z  |t          d          z   z  ||z  |t          d          |z  z   t          d          z   z  z
  z  z             S r  rQ  )	r:  rC  rX  r  r  r  r  r  rI  s	            r  	cons_f426r  F	  sk    QqSUA!H%1Q3AaDD>AaCQqTT!VaPQddAR<S+S(TTUUUr  c           	          t          | | |z  |t          d          |z  z   t          d          z   z  t          d          |z  |z  |t          d          z   z  z   z            S r.  rQ  )rX  r  r  r  r  r  rI  s          r  	cons_f427r  K	  s[    Q1a!A$$q&j1Q44/01Q446!8Q1X3FFGHHHr  c           	          t          || |z  |t          d          z   z  ||z  |t          d          |z  z   t          d          z   z  z
  z            S r  rQ  )r:  rX  r  r  r  r  rI  s          r  	cons_f428r  P	  sN    Q!Q1X1a!A$$q&j1Q44.?)@@ABBBr  c                     t          | |z  |z  ||z   t          d          z   z  t          d          |z  |z  |z  |t          d          z   z  z             S rz  rQ  )rC  rX  r  r  r  r  rI  s          r  	cons_f429r  U	  sQ    QqSUAEAaDDL)AaDDF1HQJAaDD,AABBBr  c                 X    t          t          | |          t          |                    S r7  r  r  s     r  	cons_f430r  Z	  s#    )Aq//#3A#6#6777r  c                     t          | |t          d          z  z  ||z  |z  z
  ||t          d          z  z  z             S rO  r  r  s        r  	cons_f431r  _	  r  r  c                 r    t          | |t          d          z  z  ||t          d          z  z  z             S rO  r  r  s       r  	cons_f432r  d	  r  r  c                 f    t          ||t          d          z  z  ||  |z  ||z  z   z  z
            S rO  r  r  s        r  	cons_f433r  i	  s5    !QqTT'	Ar!taczN2333r  c           	          t          t          | t          d                    t          |t          d                              S rh  r  rR   r  r  s     r  	cons_f434r  n	  s2    '!QqTT""GAqtt$4$4555r  c                 F    t          | |z   t          d          z             S r  r  r  s     r  	cons_f435r  s	  r  r  c                 &    t          | |z            S r7  r  rY  s     r  	cons_f436r   x	  r  r  c                 @    t          t          | |z                      S r7  r  rY  s     r  	cons_f437r  }	  r  r  c                 R    t          | |z  t          d          |z  |z  z
            S rO  rQ  r  r  r  r  s       r  	cons_f438r  	  &    QqS1Q446!8^$$$r  c                 R    t          | |z  t          d          |z  |z  z
            S rO  r  r  s       r  	cons_f439r  	  &    !add1fQh'''r  c                 R    t          t          d          | z  |z  ||z  z
            S rO  rQ  r  r  r  r  s       r  	cons_f440r  	  &    QqTT!VAX!^$$$r  c                 R    t          t          d          | z  |z  ||z  z
            S rO  r  r  s       r  	cons_f441r  	  s&    !Qq1Q3'''r  c                     t          |t          d          z  | |z  ||z  z   z  t          d          |z  |z  |  |z  ||z  z   z  z
  |t          d          z  |  |z  ||z  z   z  z             S rO  rQ  r:  rC  rX  r  r  r  r  r  s           r  	cons_f442r  	  sy    Q!WqbdQqSj)AaDDF1HqbdQqSj,AAAqttGaRPQTTUVWTWZDXXYYYr  c                     t          | |z  |t          d          z  z  ||z  |t          d          z  z  z
  t          d          |z  |z  |  |z  ||z  z   z  z             S rO  rQ  r  s          r  	cons_f443r  	  _    QqSAaDD[1Q3q!A$$w;.1aA2a4!A#:1FFGGGr  c                     t          ||z  |t          d          z  z  ||z  |t          d          z  z  z
  t          d          |z  |z  |  |z  ||z  z   z  z
            S rO  rQ  )r:  rC  rX  r  r  r  r  s          r  	cons_f444r  	  r  r  c           	          t          |t          d          z  |z  |t          d           | z  |z  |t          d          z  z   z  z
            S r  rQ  r  s        r  	cons_f445r  	  sG    Q!WQYQqTTE!GAI1Q44$7!88999r  c                 <   t          t          d          | z  |z  |t          d          z  z  t          d          |t          d          z  z  |t          d          z  z  z
  ||z  |z  |z  z
  |t          d          z  |t          d          z  z  z             S r  rQ  r  s        r  	cons_f446r  	  r  r  c                     t          t          d           |z  |t          d          z  z  |  |z  t          d          |z  |z  z   t          d          z  z            S r  r  rC  rX  r  r  s       r  	cons_f447r  	  sR    !A$$qAaDD1"Q$1a/AaDD)@@AAAr  c                 R    t          t          d          | z  |z  ||z  z             S r  rQ  r  s       r  	cons_f448r   	  r  r  c                     t          t          d          | z  |t          d          z  z  ||t          d          z  z  z             S r  rQ  r  s       r  	cons_f449r"  	  s;    QqTT!VAqttG^a1Q44i/000r  c                 :    t          t          |                     S r7  r  r9  s    r  	cons_f450r$  	  ro  r  c                     t          |
t          t          t          t          f          rdS t          t          | |||||||||	
  
        |
          S r^  ru  )r:  rC  rX  r  r  r  r  r  rI  r  r?  s              r  	cons_f451r&  	  r  r  c
                     t          |	t          t          t          t          f          rdS t          t          | ||||||||	  	        |	          S r^  ru  )
r:  rX  r  r  r  r  r  rI  r  r?  s
             r  	cons_f452r(  	  r  r  c                 v    t          | t          t          t          t          f          rdS t          ||           S r^  r>  r?  zs     r  	cons_f453r,  	  rA  r  c                     t          |t          t          t          t          f          rdS t          t          | |          |          S r^  r`  ra  r  rb  r  r   r   r  rd  r?  s      r  	cons_f454r0  	  :    a#wu566 	5$q!**a(((r  c                     t          |t          t          t          t          f          rdS t          t          t          ||          t          t          | |          |                              S r^  )
r`  ra  r  rb  r  r7   r  r   r   r   r  rd  r?  r+  s       r  	cons_f455r4  	  sV    a#wu566 	53|Aq))?41::q+I+IJJKKKr  c                     t          t          d          | z  t          d          |z  z   t          d          z             S r  r  r  s     r  	cons_f456r6  	  r  r  c                     t          |t          t          t          t          f          rdS t          t          ||||||| |||	|
          |          S r^  ru  )r  r  r  r:  rC  rX  r  r  r  rI  r  r?  s               r  	cons_f457r8  	  N    a#wu566 	5T!Q1aAq!Q::A>>>r  c                     t          |
t          t          t          t          f          rdS t          t          ||||||| |||	
  
        |
          S r^  ru  )r  r  r:  rC  rX  r  r  r  rI  r  r?  s              r  	cons_f458r;  	  r  r  c                     t          |
t          t          t          t          f          rdS t          t          |||||| ||||	
  
        |
          S r^  ru  )r  r  r  r:  rX  r  r  r  rI  r  r?  s              r  	cons_f459r=  	  r  r  c
                     t          |	t          t          t          t          f          rdS t          t          |||||| |||	  	        |	          S r^  ru  )
r  r  r:  rX  r  r  r  rI  r  r?  s
             r  	cons_f460r?   
  r  r  c                     t          |t          t          t          t          f          rdS t          t          | ||          |          S r^  ru  )rC  rF  rI  r?  s       r  	cons_f461rA  
  rx  r  c                 f    t          |t          d          z   t          d          | z  z             S r  rQ  r  s     r  	cons_f462rC  
  s)    Q1X!Q&'''r  c                 f    t          |t          d          z   t          d          | z  z             S r  r  r  s     r  	cons_f463rE  
  s)    AaDD1Q446 1222r  c                 `    t          t          d          | z  t          d          z             S NrR  r{  r  r  s    r  	cons_f464rH  
  r  r  c                 <    t          | t          d                    S rh  ri  r  s    r  	cons_f465rJ  
  rh  r  c                 "    t          | |          S r7  r-  r  s     r  	cons_f466rL  "
      1%%%r  c                    t          t          t          d          |z            t          t	          | t          d                    t          t          d          |z                      t          t	          | t          d                    t          t          d          |z                      t          t          |t          d          | z  z             t          |                              S )NrP  r  rR  r{  )r  r   r  r  r$   rQ   r5   r  s     r  	cons_f467rO  '
  s	   (1Q446""Ca11a8H8H$I$I3uUVXYZ[X\X\~~_ghijkhlhlmnhn_o_oKpKprv  xC  DE  HI  JK  HL  HL  MN  HN  DN  xO  xO  Q\  ]^  Q_  Q_  s`  s`  a  a  	ar  c                 &    t          || z            S r7  r  r:  rC  s     r  	cons_f468rR  ,
  r  r  c                 f    t          | t          d          z  t          d          dz  z             S )NrP  r  r  r  s    r  	cons_f469rT  1
  )    !A$$2q 0111r  c                 &    t          | |z            S r7  r  rQ  s     r  	cons_f470rW  6
  r  r  c                 &    t          | |z            S r7  r  rQ  s     r  	cons_f471rY  ;
  r  r  c                 V    t          t          |           t          |                    S r7  )r  r   rQ  s     r  	cons_f472r[  @
      )A,,	!---r  c                 V    t          t          |           t          |                    S r7  )r  r   rQ  s     r  	cons_f473r^  E
  r\  r  c                 V    t          t          |           t          |                    S r7  r  rQ  s     r  	cons_f474r`  J
  r\  r  c                 V    t          t          |           t          |                    S r7  )r  r   r   rQ  s     r  	cons_f475rb  O
  r\  r  c                 f    t          | t          d          z  t          d          dz  z             S Nr  r  rP  r  r  s    r  	cons_f476re  T
  rU  r  c                 2   	 t          t          | |z            t          t          | |z            t	          t          t          |                     t	          t          t          |                                        S # t          t          f$ r Y dS w xY wr^  )	r  r   r  r   r\   r  r  	TypeErrorAttributeErrorrQ  s     r  	cons_f477ri  Y
  s    	i!nnc$qs))U<RS;T;T5U5UW\]ijrtu]v]vWwWw&x&xyyy>* 	 	 	55	s   A>B BBc                 @    t          t          | |z                      S r7  r  rQ  s     r  	cons_f478rk  a
  r  r  c                 `    t          | t          d          z  t          d          z             S )Nr  r  r  r  s    r  	cons_f479rm  f
  s$    !A$$2///r  c                 &    t          | |z            S r7  r  rQ  s     r  	cons_f480ro  k
  r  r  c                      t          |           S r7  r  rL  s    r  	cons_f481rq  p
  r  r  c                      t          |           S r7  r  rL  s    r  	cons_f482rs  u
  r  r  c                      t          |           S r7  r  r9  s    r  	cons_f483ru  z
  r  r  c                      t          |           S r7  r  r9  s    r  	cons_f484rw  
  r  r  c                 &    t          || z            S r7  r  rQ  s     r  	cons_f485ry  
  r  r  c                      t          |           S r7  r  r9  s    r  	cons_f486r{  
  rs  r  c                 X    t          t          d          | t          d                    S r  ri  rm  s    r  	cons_f487r}  
  r  r  c                 B    t          | t          d          dz            S r  r  rm  s    r  	cons_f488r  
  r   r  c                 F    t          |t          d          | z  z             S r  rb  r  s     r  	cons_f489r  
  rd  r  c                 |    t          t          |t          d          | z  z             t          |                    S r  rQ   r5   r  r  s     r  	cons_f490r  
  s.    KAaDDF
++[^^<<<r  c                      t          |           S r7  r)  r  s    r  	cons_f491r  
  rs  r  c                 Z    t          t          t          d          | z                      S r  r\  r  s    r  	cons_f492r  
  r^  r  c                 `    t          t          |t          d          | z  z                       S r  r  r  s     r  	cons_f493r  
  r  r  c                 V    t          t          |          t          |                     S r7  r  r:  rI  s     r  	cons_f494r  
  r  r  c                 p    t          t          t          |          t          |                               S r7  r  r  s     r  	cons_f495r  
  &    2hqkk9Q<<00111r  c           	          t          t          |          t          t          |           t          |                              S r7  rU  )r  r  rI  s      r  	cons_f496r  
  .    (1++s9R==)B--@@AAAr  c                 @    t          t          d          | z            S rO  r  r  s    r  	cons_f497r  
      !Q'''r  c                     t          t          t          d          |z            t          t	          |t          d          | z  z             t	          |                              S rz  )r  r   r  rQ   r5   r  s     r  	cons_f498r  
  sJ    (1Q446""DQ1aZ)@)@+a..$Q$QRRRr  c                 @    t          t          d          | z            S rO  r  r  s    r  	cons_f499r  
  r  r  c                 @    t          t          d          | z            S rO  rT   r  r  s    r  	cons_f500r  
      1a   r  c                 V    t          t          |          t          |                     S r7  r  )rX  r  s     r  	cons_f501r  
  r  r  c                 F    t          | t          d          z   |z            S r  rb  r  s     r  	cons_f502r  
  s    QqTT1%%%r  c                 `    t          t          | t          d          z   |z                      S r  r\  r  s     r  	cons_f503r  
  s&    8Q1XqL))***r  c                      t          |           S r7  r  r  s    r  	cons_f504r  
  r  r  c                 l    t          |t          d          z   | t          d          z   |z  z             S r  rQ  r  s      r  	cons_f505r  
  s-    Q1XQqTT1,---r  c                     t          |t          d          z   | t          d          z   t          d          |z  z  z             S r  rQ  r  s      r  	cons_f506r  
  s8    Q1XQqTTAaDDF 33444r  c                 f    t          | t          d          z   t          d          |z  z            S r  rb  r  s     r  	cons_f507r  
  s)    QqTTAaDDF+,,,r  c                 r    t          | ||t          d          z   z  z   t          d          z   |z            S r  r  r  s      r  	cons_f508r  
  s3    QAaDD\!1AaDD!8! ;<<<r  c                     t          | t          d          |z  |t          d          z   z  z   t          d          z   t          d          |z  z            S rz  r  r  s      r  	cons_f509r  
  sH    QqTT!VQ1X%6!61!=!Q GHHHr  c                 r    t          t          | ||z  z   |z   t          d          z   |z                      S r  r  r  s      r  	cons_f510r    s5    #Q1Wq[1Q44%7$:;;<<<r  c           	          t          |t          t          t          t          f          rdS t          | ||||||          S r^  r`  ra  r  rb  r  r  )r:  rC  rX  r  rF  rI  r?  s          r  	cons_f511r    s<    a#wu566 	5Aq!Q1a000r  c                 l    t          | t          d          |z  |z  z   t          d          z             S rz  r  r  s      r  	cons_f512r    s-    AaDDF1Hqtt+,,,r  c	           	          t          |t          t          t          t          f          rdS t          | |z  ||z  |||||          S r^  r  )	r  r  r  r  rX  r  rF  rI  r?  s	            r  	cons_f513r    sD    a#wu566 	5BrE2b5!Q1a888r  c                 L    t          | ||z  z   t          d          z             S r  r  r  s      r  	cons_f514r    "    AaC!A$$'''r  c                 f    t          | t          d          z  t          d          dz  z             S rd  r  r  s    r  	cons_f515r    rU  r  c                 f    t          | t          d          z  t          d          dz  z             S rd  r  r  s    r  	cons_f516r  #  rU  r  c                 @    t          t          d          | z            S rO  rb  r  s    r  	cons_f517r  (  r  r  c                 B    t          | t          d          dz            S rQ  r~  r  s    r  	cons_f518r  -  r9  r  c                 B    t          | t          d          z   |          S r  r~  r  s     r  	cons_f519r  2      q1Q44x###r  c           
          t          t          | ||t          d          z   z  z   t          d          z   |z                      S r  r  r  s      r  	cons_f520r  7  s<    #QA!H%5!%<a$?@@AAAr  c                 b    t          | t          d          z   t          d          |z            S r  r~  r  s     r  	cons_f521r  <  s&    q1Q44x1a(((r  c           
          t          t          | t          d          |z  |t          d          z   z  z   t          d          z   t          d          |z  z                      S rz  r  r  s      r  	cons_f522r  A  sQ    #Q1aQqTT):%:QqTT%AAaDDF$KLLMMMr  c                 f    t          | t          d          z  t          d          dz  z             S ru  r  r  s    r  	cons_f523r  F  rU  r  c                 B    t          | |t          d          z             S r  ri  r  s     r  	cons_f524r  K  s    Aq1R55y!!!r  c                 h    t          | |t          d          z  t          d          dz  z             S ru  r  r  s     r  	cons_f525r  P  +    1QqTT6AbEE!G#3444r  c                 h    t          | |t          d          z  t          d          dz  z             S rd  r  r  s     r  	cons_f526r  U  r  r  c                 B    t          | |t          d          z            S r  r  r  s     r  	cons_f527r  Z  s    1QqTT6***r  c                 B    t          | |t          d          z            S rO  ri  r  s     r  	cons_f528r  _  s    Aq1vr  c                 \    t          |t          d          z  t          | t          |          S rO  r&  r  s     r  	cons_f529r  d  s"    !AaDD&)Qa888r  c                 "    t          | |          S r7  r-  r  s     r  	cons_f530r  i  rM  r  c                 b    t          | t          d          |z  t          d          z             S ru  r~  r  s     r  	cons_f531r  n  &    q!A$$q&1R55.)))r  c                 B    t          | |t          d          z             S r  r~  r  s     r  	cons_f532r  s  s    q!aee)$$$r  c                 $    t          | |           S r7  r   r  s     r  	cons_f533r  x  s    1qb!!!r  c                 R    t          | ||z  z   t          d          z   |z            S r  r  r  s      r  	cons_f534r  }  s'    QqS1Q44 2333r  c                 D    t          | t          d           |z            S rO  r  r  s     r  	cons_f535r    s    1qtteAg&&&r  c                     t          | t          d          |z  |z  z   t          d          z   t          d          |z  z            S rz  r  r  s      r  	cons_f536r    s<    QqTT!VAX!!4qttAv >???r  c                 "    t          | |          S r7  r  r  s     r  	cons_f537r    s    1a   r  c                 B    t          | t          d          |z            S rO  r  r  s     r  	cons_f538r    s    1add1f%%%r  c                 N    t          | || t          d          z   |z  z             S r  ra  r  s      r  	cons_f539r    s%    AQqTT1,---r  c                 n    t          | || t          d          z   t          d          |z  z  z             S r  ra  r  s      r  	cons_f540r    s0    AQqTTAaDDF 33444r  c           	          t          t          || t          d          z   |z  z             t          |                    S r  r  r  s      r  	cons_f541r    s3    KQ1XqL 011;q>>BBBr  c           	          t          t          || t          d          z   t          d          |z  z  z             t          |                    S r  r  r  s      r  	cons_f542r    s>    KQ1X!Q$7 788+a..IIIr  c                 F    t          || t          d          z   z            S r  rb  r  s     r  	cons_f543r        1qtt8%%%r  c                 f    t          t          d          |z  | t          d          z   z            S rz  rb  r  s     r  	cons_f544r    s)    !QAaDD)***r  c                 Z    t          t          t          d          | z                      S rO  r\  r  s    r  	cons_f545r    r^  r  c                 L    t          || t          d          z   |z  z             S r  rQ  r  s      r  	cons_f546r    s#    Q!add(A%&&&r  c                 l    t          || t          d          z   t          d          |z  z  z             S r  rQ  r  s      r  	cons_f547r    s.    Q!add(QqTT!V,,---r  c                 L    t          || t          d          z   |z  z             S r  rb  r  s      r  	cons_f548r    s#    Q1XqL()))r  c                 l    t          || t          d          z   t          d          |z  z  z             S r  rb  r  s      r  	cons_f549r    s.    Q1X!Q//000r  c                 F    t          | t          d          z   |z            S r  r  r  s     r  	cons_f550r	    s    !add(A&&&r  c                 \    t          t          | |          t          | |                     S r7  )r  r   r  s     r  	cons_f551r    s(    +a##[QB%7%7888r  c                 V    t          t          |          t          |                     S r7  )r  r   r   r  s     r  	cons_f552r    s!    "1%%y||444r  c                 p    t          t          t          |          t          |                               S r7  )r7   r  r   r   r  s     r  	cons_f553r    s)    2&q))9Q<<88999r  c                 v    t          |t          t          t          t          f          rdS t          | |          S r^  r>  rc  s     r  	cons_f554r    rA  r  c                 z    t          |t          t          t          t          f          rdS t          | |z
            S r^  rC  rc  s     r  	cons_f555r    rE  r  c                 x    t          |t          t          t          t          f          rdS t          | ||          S r^  )r`  ra  r  rb  r  r   r/  s      r  	cons_f556r    s4    a#wu566 	51a###r  c                 "    t          | |          S r7  r-  r  s     r  	cons_f557r    rM  r  c                 F    t          | |z  t          d          z             S r  rQ  r  s     r  	cons_f558r        QqS1Q44Z   r  c                 l    t          | ||z   t          d          z   z  t          d          z             S r  rQ  rF  rI  r  s      r  	cons_f559r     .    QA!%!,---r  c                 l    t          | ||z   t          d          z   z  t          d          z             S rz  rQ  r  s      r  	cons_f560r     r  r  c                 ~    t          | |z  |t          d          z   z  ||z  |t          d          z   z  z             S r  rQ  )r:  rC  rX  r  rI  r  s         r  	cons_f561r"  
  s9    QqS!add(^ac1qtt8n4555r  c                    t          t          t          |           t          | t	          d                              t          t          t          |          t          |t	          d                                                  S r  )r  r  r(   rQ   r  r7   r  s     r  	cons_f562r$    s[    #illDAbEENN33SYq\\4PQSTUWSXSX>>9Z9Z5[5[\\\r  c           	      ~    t          | |z  ||z  ||t          d          z   z  t          d          z   z  z
            S r  rQ  r:  rC  rX  r  rF  rI  s         r  	cons_f563r'    ;    QqS1Q31qtt8qtt 344555r  c                     t          t          t          |          t          |t	          d                              t          |t	          d          | z  z                       S rL  r  r  r(   rQ   r  r   r  s     r  	cons_f564r+    sG    #illDAbEENN335Ea!A$$q&j5Q5QRRRr  c                 f    t          | |t          d          z   z  t          d          z             S r  r  r  s     r  	cons_f565r-    s)    1qtt8qtt+,,,r  c                      t          |           S r7  r1  r  s    r  	cons_f566r/  #  r/  r  c                 $    t          | |           S r7  rS   r  s     r  	cons_f567r2  (  s    Ar"""r  c                 R    t          t          d          | z  |z  ||z  z             S r  rQ  r  s       r  	cons_f568r4  -  r  r  c           	          t          t          | t          d          dz            t          t          |           t          d                              S )Nr{  rP  r  )r  r$   r  r5   rm  s    r  	cons_f569r6  2  s<    %1Q446""E+a..!A$$$?$?@@@r  c                 V    t          t          |           t          d                    S r  )r$   r5   r  rm  s    r  	cons_f570r8  7  s    [^^QqTT***r  c           	          t          t          | t          d          dz            t          | t          d          dz                      S )Nr  ir  r$   r  rm  s    r  	cons_f571r<  <  s:    %1R557##U1aeeAg%6%6777r  c                 &    t          | |z            S r7  r  rQ  s     r  	cons_f572r>  A  r  r  c                 &    t          | |z            S r7  r  rQ  s     r  	cons_f573r@  F  r  r  c           	          t          t          | t          d          dz            t          | t          d          dz                      S )NrR  r  rq  r;  rm  s    r  	cons_f574rB  K  s:    %1Q446""E!QqTT!V$4$4555r  c                 &    t          || z            S r7  r  rX  r  s     r  	cons_f575rE  P  r  r  c                 X    t          t          d          | t          d                    S r  ri  r  s    r  	cons_f576rG  U  r!  r  c           
          t          |t          t          t          t          f          rdS t          | |||||||          S r^  r  )r:  rC  rX  r  rF  rI  r  r?  s           r  	cons_f577rI  Z  s>    a#wu566 	5Aq!Q1a333r  c                 <    t          | t          d                    S r  r~  r  s    r  	cons_f578rK  a  r  r  c                 B    t          | |z   t          d                    S rh  r~  r  s     r  	cons_f579rM  f  s    q1uadd###r  c                 L    t          | ||z   z  t          d          z             S r  r  r  s      r  	cons_f580rO  k  s#    1q5	AaDD()))r  c                     t          t          t          |           t          | t	          d                                        S r  r7   r  r   rR   r  rm  s    r  	cons_f581rR  p  0    3x{{GAqtt$4$455666r  c                 H    t          t          || z  ||z                      S r7  r7   r   r  s       r  	cons_f582rV  u  "    <!QqS))***r  c                 &    t          || z            S r7  r  rD  s     r  	cons_f583rY  z  r  r  c           
          t          t          t          || z            t          | | z  | |z                                S r7  r7   r  r#   r   r  s       r  	cons_f584r\    :    3tAaCyy,r!taRT":":;;<<<r  c                 2    t          | ||z  |z  z
            S r7  r  r  s       r  	cons_f585r_    s    QqSU###r  c                 @    t          | t          d          z             S r  r  r  s    r  	cons_f586ra    r  r  c                 $    t          | |           S r7  )r   r2  rF  s     r  	cons_f587rd    s    2r{{r  c                      t          |           S r7  r  r  s    r  	cons_f588rf    r  r  c                 p    t          t          |           t          t          |                              S r7  r  r   r7   r   r  s     r  	cons_f589ri    s&    $q''3x{{++,,,r  c                 x    t          |t          t          t          t          f          rdS t          | ||          S r^  r`  ra  r  rb  r  r   r/  s      r  	cons_f590rl    s4    a#wu566 	5"1a+++r  c                 (    t          || |z            S r7  r,  r  s     r  	cons_f591rn    s    AaC   r  c                     t          |t          t          t          t          f          rdS t          ||| |z  z  z  ||          S r^  rk  )r  rI  r  rd  r?  s        r  	cons_f592rp    s@    a#wu566 	5"1Q1X:q!444r  c                 V    t          t          |          t          |                     S r7  r  )r  r  s     r  	cons_f593rr    r  r  c           
          t          | |z  |t          d          z   z  ||z  |||t          d          z   z  z   t          d          z   z  z
            S r  rQ  )r:  rC  rX  r  r  rF  rI  s          r  	cons_f594rt    N    QqS!add(^ac1q!add(|+;add+B&CCDDDr  c                 H    t          |  t          d          z  |z             S rO  rQ  )rF  r3  s     r  	cons_f595rw    s     aR!Wt^$$$r  c	           
          t          | |z  |z  |t          d          z   z  ||z  |z  |||t          d          z   z  z   t          d          z   z  z
            S r  rQ  )	r  r  r  r  rX  r  r  rF  rI  s	            r  	cons_f596ry    sW    RU1Wa!A$$h'"R%'1q!add(|3Cadd3J*KKLLLr  c                 l    t          | ||t          d          z   z  z   t          d          z             S r  rQ  r  s      r  	cons_f597r{    s.    QA!H%!,---r  c                 V    t          t          |          t          |                     S r7  r  )r  rF  s     r  	cons_f598r}    r  r  c                 8   t          t          t          |t          d                    t	          | t          d                              t          t	          |t          d                    t          | |z   t          d                                        S r/  r  r  rR   r  rQ   r  s     r  	cons_f599r    sm    #ga1&&Q"77T!QqTT]]GTUXYTY[\]_[`[`LaLa9b9bcccr  c                     t          t          t          |           t          | t	          d                                        S r  r  rm  s    r  	cons_f600r    s.    3x{{DAbEENN33444r  c                 @    t          | t          d          z            S rO  r  r  s    r  	cons_f601r        !A$$'''r  c           	          t          t          |          t          | t          d          |z  z   t          d          z   t          d                              S NrP  r{  r   r  r   r$   r  r  s     r  	cons_f602r    sA    (1++uQ1aZ!A$$%6!==>>>r  c                 @    t          | t          d          z            S rO  r  r  s    r  	cons_f603r    r  r  c                 J   t          t          |          t          t          |                     t	          t          |          t          |t          d          dz  z             t          t          d          | | |t          d          z   z                                S Nr{  rP  r  )	r  r   r7   r(   r  r   r   r  rP   r  s      r  	cons_f604r    s    (1++s9Q<<00#6Fq6I6IK[\]`abc`d`def`f\fKgKgirstuwsxsxz{~}  BC  FG  HI  FJ  FJ  BJ  ~K  jL  jL  3M  3M  N  N  	Nr  c                 l    t          | ||t          d          z   z  z   t          d          z             S r  r  r  s      r  	cons_f605r    .    Aq1Q44xL(1Q44/000r  c           	          t          t          |           t          t          d          | z  t          d          z             t	          t          |                               S rO  )r  r   r   r  r7   r(   r  s    r  	cons_f606r    sE    (1++/!Q1>>IaLL@Q@QRRRr  c                 l    t          | ||t          d          z   z  z   t          d          z             S rz  r  r  s      r  	cons_f607r    r  r  c                 $    t          | ||          S r7  rq  r  rI  r  s      r  	cons_f608r    rP  r  c                 b    t          | |z
  t          d          z   t          d                    S r  r~  r  s     r  	cons_f609r     r  r  c
                     t          |	t          t          t          t          f          rdS t          | |||||||||	
  
        S r^  r  )
r:  rC  rX  r  r  r  rF  rI  r  r?  s
             r  	cons_f610r    sB    a#wu566 	5Aq!Q1aAq999r  c                 H    t          | |z
  t          d          z   |          S r  r~  r  s     r  	cons_f611r    s     q1uqtt|Q'''r  c           	      |    t          |t          | |z
  t          d          z   t          t          d                    S r  )r  rS   r  rR   r  s     r  	cons_f612r    s,    !\1q51Q44<!A$$GGGr  c                 "    t          | |          S r7  rq  r  r  s     r  	cons_f613r    r  r  c                 d    t          || t          d          |z  t          d          z             S ru  r  r  s     r  	cons_f614r    s(    AqttAv"~...r  c                 b    t          | t          d          z  |t          d          z            S rO  ra  r  s     r  	cons_f615r     s&    1Q441Q44(((r  c                 d    t          t          d          | |z
  t          d          z   |          S r  ri  r  s     r  	cons_f616r  %  s(    AaDD!a%!A$$,***r  c                 <    t          | t          d                    S r  r  r  s    r  	cons_f617r  *  s    AaDD!!!r  c                 T    t          |  |z  t          d          |z  |z  z             S r  rQ  r  s       r  	cons_f618r  /  r  r  c                 f    t          | t          d          z  t          d          dz  z             S NrR  r  r  r  s    r  	cons_f619r  4  rU  r  c                 f    t          | t          d          z  t          d          dz  z             S r  r  r  s    r  	cons_f620r  9  rU  r  c                 f    t          | t          d          z  t          d          dz  z             S r  rb  r  s    r  	cons_f621r  >  )    !A$$2q()))r  c           	          t          t          | t          d                    t          | t          d                              S )NrP  r  )r  r   r  r  s    r  	cons_f622r  C  s.    #a1,,Aqtt---r  c           
          t          t          t          |t          d                    t	          | | z  | |z                                S rO  )r7   r  r   r  r   r:  rC  rX  r  rF  s        r  	cons_f623r  H  s>    3s1add||\1"Q$1%=%=>>???r  c                 N    t          || t          d          z   |z  z   |          S r  ra  r  rF  rI  r  s       r  	cons_f624r  M  s%    a!A$$h\)1---r  c           	          t          t          | |z
            t          | t          d          |z  z
  t          d          z                       S rz  r  r   r  r  s     r  	cons_f625r  R  s=    %A,,a!A$$q&j1Q44&7 8 8999r  c                 $    t          | ||          S r7  r,  r  s      r  	cons_f626r  W  rP  r  c                 <    t          | t          d                    S r,  rd  rm  s    r  	cons_f627r  \  s    Aquu%%%r  c                 
   t          t          |t          d                    t          t	          |t          d                    t          | t          d          z  t          d          dz  z                                 S )Nr  r  rP  r  )r  rS   r  r  r$   r   r  s     r  	cons_f628r  a  sa    ,q!B%%((#eAquuoox!A$$QRSUQVQVWXQXHX?Y?Y*Z*Z[[[r  c                 F    t          | |z
  t          d          z             S r  r  r  s     r  	cons_f629r  f  r  r  c                 $    t          | ||          S r7  r-  rI  r  r  s      r  	cons_f630r  k      1a(((r  c                     t          |t          t          t          t          f          rdS t          t          | ||||||          |          S r^  ru  )r:  rC  rX  r  r  r  rF  r?  s           r  	cons_f631r  p  r  r  c                    t          t          t          |t          d          z             t	          t          t          || z            t          ||z                      t          t          || z            t	          t          ||z            t          t          |           t	          t          t          |                    t          | | z  | |z                                                                                  S r,  )	r7   r  r   r  r  r   r#   r   r   r  s        r  	cons_f632r  w  sQ   3uQ2Y''CQqS		4!99,E,Es4PQRSPS99VXY]^_`a^aYbYbdghqrshthtvxy|  ~G  HI  ~J  ~J  zK  zK  MY  [\  Z\  ]^  Z^  ab  `b  cd  `d  Me  Me  wf  wf  eg  eg  Wh  Wh  Hi  Hi  *j  *j  k  k  l  l  	lr  c                 l    t          | ||z   t          d          z   z  t          d          z             S r  r  r  s      r  	cons_f633r  |  s.    1q51Q44<(1Q44/000r  c	                     t          |t          t          t          t          f          rdS t          t          | |||||||          |          S r^  ru  )	r:  rC  rX  r  r  r  rF  rI  r?  s	            r  	cons_f634r    r  r  c
                     t          |	t          t          t          t          f          rdS t          t          | ||||||||	  	        |	          S r^  ru  )
r:  rC  rX  r  r  r  rF  rI  r  r?  s
             r  	cons_f635r    r  r  c                 &    t          || z            S r7  r  rD  s     r  	cons_f636r    r  r  c                 &    t          || z            S r7  r  r  r  s     r  	cons_f637r    r  r  c                 H    t          t          || z  ||z                      S r7  rU  rl  s       r  	cons_f638r    rW  r  c                 L    t          t          | |z  | | z                      S r7  rU  rl  s       r  	cons_f639r    s&    <1qbd++,,,r  c                 &    t          || z            S r7  r  r  s     r  	cons_f640r    r  r  c           
          t          t          t          ||z            t          | |z  | | z                                S r7  r[  rl  s       r  	cons_f641r    r]  r  c                 "    t          | |          S r7  rq  )r  r  s     r  	cons_f642r    r  r  c                 <    t          | t          d                    S r  r~  r  s    r  	cons_f643r    r  r  c                 <    t          | t          d                    S r  r  r  s    r  	cons_f644r    r  r  c                 :    t          |  |z  ||z  z   | z            S r7  r  rl  s       r  	cons_f645r    r  r  c                 :    t          |  |z  ||z  z   | z            S r7  r  rl  s       r  	cons_f646r    r  r  c                     t          |
t          t          t          t          f          rdS t          t          | |||||||||	
  
        |
          S r^  ru  )r:  rC  rX  r  r  r  rF  rI  r  r  r?  s              r  	cons_f647r    r  r  c                 &    t          | |z
            S r7  r8  r  rd  s     r  	cons_f648r    r  r  c                 &    t          | |z
            S r7  r8  )r  ws     r  	cons_f649r    r  r  c                      t          |           S r7  r  r  s    r  	cons_f650r    r  r  c                 H    t          |  t          d          z  |z             S rO  rQ  r  s     r  	cons_f651r    s     aR!Wr\"""r  c                 2    t          | |z  ||z  z             S r7  r8  )r$  r%  r&  r'  s       r  	cons_f652r    r  r  c           	          t          t          |          t          t          |           t          |                              S r7  rU  )r$  r%  r  s      r  	cons_f653r    r  r  c                 "    t          | |          S r7  r>  )r$  r?  s     r  	cons_f654r 	    r#  r  c                 "    t          | |          S r7  r>  )r&  r?  s     r  	cons_f655r	    r#  r  c                 "    t          | |          S r7  r>  )r%  r?  s     r  	cons_f656r	    r#  r  c                 "    t          | |          S r7  r>  )r'  r?  s     r  	cons_f657r	    r#  r  c                 V    t          t          |          t          |                     S r7  r  )r  r  s     r  	cons_f658r	    r  r  c                 D    t          | t          d          z   ||          S rO  r  r  s      r  	cons_f659r
	    s    AaDD!Q///r  c                 $    t          | ||          S r7  r,  r  s      r  	cons_f660r	  	  rP  r  c                     t          t          t          |t          d                    t	          |  |z  ||z  z   |  |z  ||z  z                                 S r  )r7   r  r$   r  r   r  s          r  	cons_f661r	    sN    3uQ!~~x1qs
QBqD1Q3J'G'GHHIIIr  c                    t          |t          t          t          t          f          rdS t          t          t          |t          d                    t          ||||z  z  z   | |||z  z  z                                 S ra  rb  )rX  r  r  r  rF  r  r?  s          r  	cons_f662r	    sj    a#wu566 	53uQ!~~xAadF
A!Q$J'G'GHHIIIr  c                      t          |           S r7  r-  r  s    r  	cons_f663r	    r/  r  c                     t          |t          t          t          t          f          rdS t          t          | |||||||||	|
          |          S r^  ru  )r:  rC  rX  r  r  r  r  r  rF  rI  r  r?  s               r  	cons_f664r	    r9  r  c                     t          |t          t          t          t          f          rdS t          t          | |||||||||	|
|          |          S r^  ru  )r:  rC  rX  r  r  r  r  r  rF  rI  r  r  r?  s                r  	cons_f665r	  &  r  r  c                     t          | t          d          |z  t          d          z   z  t          d          z             S rz  rQ  r  s     r  	cons_f666r	  -  s4    Q!Q1&1-...r  c                     t          t          d          | z  |t          d          z   z  t          d          z             S rz  rQ  r  s     r  	cons_f667r	  2  s4    QqTT!VQ1X&1-...r  c           
         t          t          t          d          | z  |z  t          d          z             t          | t          d          |z  t          d          z   z  t          d          z                       S r  r  r  s     r  	cons_f668r	  7  s^    %!Qq1Q44((%1Q446AbEE>0BQqTT0I*J*JKKKr  c                 F    t          | t          d          dz  z             S r  rb  rm  s    r  	cons_f669r	  <  rd  r  c                 `    t          t          d          | z  t          d          z             S rz  r  r  s    r  	cons_f670r 	  A  r  r  c                 f    t          t          d          | z  |z  t          d          z             S rz  r  r  s     r  	cons_f671r"	  F  s(    !Qq1Q44(((r  c                     t          | t          d          |z  t          d          z   z  t          d          z             S NrP  r  r{  r  r  s     r  	cons_f672r%	  K  s4    1Q446AbEE>*QqTT1222r  c                     t          | t          d          |z  t          d          z   z  t          d          z             S rz  r  r  s     r  	cons_f673r'	  P  s4    1Q446AaDD=)AaDD0111r  c                     t          t          d          | z  |t          d          z   z  t          d          z             S rz  r  r  s     r  	cons_f674r)	  U  s4    !QAaDD)AaDD0111r  c           	      v    t          t          |          t          | t          d          z                       S r,  r  r   r   r  r  s     r  	cons_f675r,	  Z  s*    (1++uQ2Y//000r  c                 @    t          | t          d          z            S rO  r  r  s    r  	cons_f676r.	  _  r  r  c                 n    t          t          d           | z  |z  |t          d          z  z             S r  r  r  s      r  	cons_f677r0	  d  r  r  c                 &    t          || z            S r7  r  rY  s     r  	cons_f678r2	  i  r  r  c                 &    t          || z            S r7  r  rQ  s     r  	cons_f679r4	  n  r  r  c                 &    t          || z            S r7  r  rY  s     r  	cons_f680r6	  s  r  r  c                 &    t          || z            S r7  r  rY  s     r  	cons_f681r8	  x  r  r  c                 B    t          |t          d          | z            S rO  r|  r  s     r  	cons_f682r:	  }  s    2qttAvr  c                      t          |           S r7  r  r  s    r  	cons_f683r<	    r  r  c                     t          | |t          d          |z  t          d          z   z  z   t          d          z             S rz  rQ  r  s      r  	cons_f684r>	    s9    QAaDDFQqTTM**QqTT1222r  c                 F    t          | |z   t          d          z             S r  r  r  s     r  	cons_f685r@	    r  r  c                     t          | t          d          |z  |t          d          z   z  z   t          d          z             S rz  rQ  r  s      r  	cons_f686rB	    s9    Q1aQqTT**QqTT1222r  c           	      v    t          t          d          t          | |z   t          t          d                    S r  r&  r  s     r  	cons_f687rD	    s(    !B%%AE41>>>r  c                 B    t          | |z   t          d                    S r  ri  r  s     r  	cons_f688rF	    s    AE1R55!!!r  c                 v   t          t          t          | t          d          |z  |t          d          z   z  z   t          d          z   |z            t	          || t          d          |z  |t          d          z   z  z   t          d          z   |z  z   t          d                                        S r  r  r  s      r  	cons_f689rH	    s    3'QqTT!VQ1X->)>1)Eq(HII7STXY\]^_\`\`ab\bdehijkhlhldl\mXmpqrsptptXtvwWwSwyz{|y}y}K~K~  A  A  	Ar  c                     t          | |t          d          |z  t          d          z   z  z   t          d          z             S r$	  r  r  s      r  	cons_f690rJ	    s9    AqttAv"~..15666r  c                    t          t          t          |           t          | t	          d          z   |z            t          t	          d          | t	          d          z   |z  z   t	          d          |z                                S Nr{  r  rP  )r7   r  r   r   r  rQ   r  s      r  	cons_f691rM	    sv    3'**Ha!A$$h\,B,BD2RSVWXYVZVZRZ\]Q]I]_`ab_c_cde_eDfDfgghhhr  c           
          t          |t          d          z   t          | t          t          d          |z  t          d          z             S r  r;  r  s     r  	cons_f692rO	    s6    !aee)T1i1a!B%%HHHr  c           	          t          t          t          d          |z            t          | t          d          z   |z                      S rz  )r  r   r  r   r  s      r  	cons_f693rQ	    s;    (1Q446""$4a!A$$h\$B$BCCCr  c                     t          | t          d          |z  |z  z   t          d          z   t          d                    S r  r  r  s      r  	cons_f694rS	    s5    q1Q446!8|add*AaDD111r  c                     t          | |t          d          |z  t          d          z   z  z   t          d          z   t          d                    S NrP  r  r{  r   r  r  s      r  	cons_f695rV	    sA    q1add1fquun--!4add;;;r  c                     t          t          |          t          t          t          d          |z            t          |           t	          |t          d                                        S rO  )r  r   r  r  r$   r  s      r  	cons_f696rX	    sJ    (1++s8AaDDF#3#3Xa[[%1Q44..QQRRRr  c                 b    t          | t          d          |z  t          d          z             S r  r~  r  s     r  	cons_f697rZ	    r  r  c                 n    t          t          d           | z  |z  |t          d          z  z             S r  r|  r  s      r  	cons_f698r\	    r  r  c                 &    t          | |z            S r7  r  rY  s     r  	cons_f699r^	    r  r  c                 B    t          |t          d          z  |           S rO  r  r  s     r  	cons_f700r`	    s    !A$$***r  c           	          t          t          d          |z  t          d          z  t          | t          t          d          |z            S rQ  r&  r  s     r  	cons_f701rb	    s6    !A$$q&1+y!T1Q446BBBr  c           
          t          |t          d          z  t          | t          t          d          |z  t          d          z            S r  r&  r  s     r  	cons_f702rd	    s6    !AaDD&)Qadd1fQqTTkBBBr  c                 "    t          | |          S r7  r1  r  s     r  	cons_f703rf	    s    Aq!!!r  c                 @    t          | t          d          z             S r  r  rm  s    r  	cons_f704rh	    r  r  c           	          t          | |z  ||z  t          d          z   z  ||z  |t          d          |z  t          d          z   z  t          d          z   z  z
            S r  rQ  rC  rX  r  r  rF  rI  s         r  	cons_f705rk	    sY    QqS!A#!*%!Q!Q1->1-E(FFGGGr  c           	          t          | |z  ||z  t          d          z   z  ||z  |t          d          |z  t          d          z   z  t          d          z   z  z
            S r  r  rj	  s         r  	cons_f706rm	    sY    !QqS1Q44Z(1Q31Q446AaDD=0AAaDD0H+IIJJJr  c                 t    t          |  |t          d          z  z  ||t          d          z  z  z             S rO  rQ  rI  s       r  	cons_f707ro	    3    aR1Q44Z!AqttG)+,,,r  c                 &    t          | |z            S r7  r  r  r  s     r  	cons_f708rs	    r  r  c                 &    t          | |z            S r7  r  rr	  s     r  	cons_f709ru	    r  r  c                 t    t          |  |t          d          z  z  ||t          d          z  z  z             S rO  r  rI  s       r  	cons_f710rw	  	  3    1add7
Qq!A$$wY.///r  c                 &    t          | |z            S r7  r  rY  s     r  	cons_f711rz	    r  r  c                 v    t          t          | |z            t          t          |                              S r7  rh  )r:  rX  rF  s      r  	cons_f712r|	    s*    $qs))S!--...r  c                 V   t          t          | |z  t          d          |z  |z  z             t          t	          t          | |z  t          d          |z  |z  z                       t          ||t          | |z  t          d                    z  z
                                S rO  )r  r   r  r  r7   r   r   r  rF  s        r  	cons_f713r~	    s    )QBqD1Q446!8O,,c#i1qttAvax6P6P2Q2QSXYZ]^_abcdebeghijgkgk_l_l]lYlSmSm.n.nooor  c           	          t          t          t          d           | z  |z  |t          d          z  z                       S r  r  r  s      r  	cons_f714r	    r  r  c                     t          t          t          d           | z  |z  |t          d          z  z             t          t	          |t          d          z                                S r  )r  r   r  r7   r   )r:  rC  rX  rF  s       r  	cons_f715r	  "  sT    $!uQwqy1add7*++S1A!AaDD&1I1I-J-JKKKr  c                 l    t          t          d          | z  |z  | z   t          d          z             S rz  r  r  s     r  	cons_f716r	  '  s-    !Qq1qtt+,,,r  c                 (    t          |  |z            S r7  r  rY  s     r  	cons_f717r	  ,  r|  r  c                 r    t          t          d          | z  |z  | |z  z   t          d          z             S rz  r  r  s      r  	cons_f718r	  1  s1    !Qq1Q31-...r  c                 F    t          | t          d          dz  z             S r  r  rm  s    r  	cons_f719r	  6  r  r  c                 :    t          t          |                     S r7  rw  r[  s    r  	cons_f720r	  ;  ro  r  c                 F    t          | t          d          dz  z             S r  r  rm  s    r  	cons_f721r	  @  r  r  c                 4    t          |  |z  ||z  z             S r7  r8  r   s       r  	cons_f722r	  E  r  r  c                 p    t          t          t          |           t          |                              S r7  r~  r:  r  s     r  	cons_f723r	  J  r  r  c                    t          t          t          ||          t          t	          |                               t          |          t          t          |          t          t	          |                                         S r7  )r  r  r   r7   r   r   r  s      r  	cons_f724r	  O  sd    #i1oos8A;;'7'788:J1:M:MsScdeSfSfhkltuvlwlwhxhxOyOyzzzr  c                 \    t          t          | t          d          |z                      S rO  r7   r   r  r  s     r  	cons_f725r	  T  s$    9Q!Q''(((r  c                 <    t          t          | |                    S r7  )r7   r   r  s     r  	cons_f726r	  Y  s    9Q??###r  c                 D    t          |t          d           | z            S rO  r|  )r2  r#  s     r  	cons_f727r	  ^  s    2!uRx   r  c                 "    t          | |          S r7  r>  )r2  r?  s     r  	cons_f728r	  c  r#  r  c                      t          |           S r7  r  r#  s    r  	cons_f729r	  h      Bxxr  c                      t          |           S r7  r  r	  s    r  	cons_f730r	  m  r	  r  c                 2    t          | |z  ||z  z             S r7  r8  )r   r!  r$  r%  s       r  	cons_f731r	  r  r  r  c           	          t          t          |          t          t          |           t          |                              S r7  rU  )r   r!  r  s      r  	cons_f732r	  w  r  r  c                 "    t          | |          S r7  r>  )r   r?  s     r  	cons_f733r	  |  r#  r  c                 "    t          | |          S r7  r>  )r!  r?  s     r  	cons_f734r	    r#  r  c                 V    t          t          |          t          |                     S r7  r  r  r  s     r  	cons_f735r	    r  r  c                 J    t          | || t          d          z   |z            S r  r  r  s     r  	cons_f736r	    s"    1q1Q44xl333r  c                 "    t          | |          S r7  r,  r  s     r  	cons_f737r	    r  r  c                 h    t          t          d          | z  |z  | t          d          z             S ru  r~  r  s     r  	cons_f738r	    s*    qttAvaxQrUU+++r  c                 x    t          | t          d          |z  |z  z   ||z  z   t          d          z             S rz  r  r  s       r  	cons_f739r	    s6    AaDDF1Hqs*QqTT1222r  c                     t          | |t          d          |z  t          d          z   z  z   t          d          z   t          d                    S r  r  r  s      r  	cons_f740r	    sA    q1add1fqttm,,qtt3QqTT:::r  c                     t          | |t          d          |z  t          d          z   z  z   t          d          z             S rz  r  r  s      r  	cons_f741r	    s9    AqttAv!}--!4555r  c                 B    t          | |t          d          z            S rO  ra  r  s     r  	cons_f742r	        AaddF###r  c                 &    t          | |z            S r7  r  rr	  s     r  	cons_f743r	    r  r  c                 `    t          ||  |z  t          d          |z  |z  z   z  |z            S rO  r  r   s       r  	cons_f744r	    s2    Ar!tadd1fQh')***r  c                 @    t          | t          d          z            S rO  rb  r  s    r  	cons_f745r	        !A$$r  c                 <    t          | t          d                    S rO  r~  r  s    r  	cons_f746r	    r  r  c                 $    t          | |           S r7  rQ   r  s     r  	cons_f747r	    s    Ar{{r  c                 "    t          | |          S r7  )rR   r  s     r  	cons_f748r	        q!}}r  c                 X    t          t          |          t          | |                    S r7  r  r  s     r  	cons_f749r	    r  r  c                 V    t          t          |           t          |                    S r7  )r  r   r  s     r  	cons_f750r	    s$    "1%%'7':':;;;r  c                 p    t          t          t          |          t          |                               S r7  r  r	  s     r  	cons_f751r	    r  r  c                 &    t          | |z
            S r7  r8  r  s     r  	cons_f752r	    r  r  c                 (    t          |  |z             S r7  r8  rF  r  s     r  	cons_f753r	        aR!V}}r  c                 N    t          t          d           | z  |z   |z             S rO  rQ  rF  r  r  s      r  	cons_f754r	    s$    addU1Wq[1_%%%r  c                 &    t          | |z
            S r7  r  r  s     r  	cons_f755r	    s    AE{{r  c                 l    t          |t          d          | z  |z
  z  t          d          z             S rz  r  r  s      r  	cons_f756r	    s-    1Q446A:1-...r  c                 (    t          |  |z             S r7  r8  r  s     r  	cons_f757r	    r	  r  c                    t          t          t          | t          d          z             t          |t          d          z             t          |t          d          z                       t          t          t          | t          d          dz  z             t          | t          d          dz  z             t          | t          d          dz  z             t          | t          d          dz  z                       t          |t          d          z             t          |t          d          z                                 S )Nr  r  r  r{  rP  r:  )r  r  r   r  )r  rF  r  s      r  	cons_f758r	    s   #eA"I&&a!B%%i(8(8%AbEE	:J:JKKSQSTYZ[^_`a^b^bcd^dZdTeTeglmnqrsuqvqvwxqxmxgygy  |A  BC  FG  HJ  FK  FK  LM  FM  BM  |N  |N  PU  VW  Z[  \^  Z_  Z_  `a  Za  Va  Pb  Pb  Rc  Rc  ej  kl  op  qs  ot  ot  kt  eu  eu  w|  }~  AB  CE  AF  AF  }F  wG  wG  NH  NH  I  I  	Ir  c                     t          | t          d          |z  t          d          z  z
  t          d          dz  z             S rQ  rQ  r  s     r  	cons_f759r	    7    Q1a!_qttAv-...r  c                 H    t          |  |z   t          d          z             S r  rQ  r  s     r  	cons_f760r	    s     aR!Vadd]###r  c                 H    t          |  |z   t          d          z             S r  rQ  r	  s     r  	cons_f761r	    s     aR!Vaee^$$$r  c                     t          | t          d          |z  t          d          z  z
  t          d          dz  z             S )NrR  rP  r{  rQ  r  s     r  	cons_f762r	    r	  r  c                     t          | ||t          d          z   z  z   t          d          z   t          d                    S r  r  r  s      r  	cons_f763r	    s6    QA"I&2.!555r  c                 T    t          | ||z  z   t          d          z   ||z
            S r  r  r  s       r  	cons_f764r	    s(    Q1Wqtt^QU+++r  c                 T    t          | ||z  z   t          d          z   ||z
            S r  r~  r  s       r  	cons_f765r	    s(    q1Q3w1~q1u---r  c                     t          | |t          d          |z  |z
  z  z   t          d          z   t          d                    S r  r  r  s       r  	cons_f766r	  !  s:    q1add1fqj>)AaDD0!A$$777r  c                     t          | ||z  z   ||z
  t          d          |z  t          d          z   z  z   t          d          z   t          d                    S rU	  r  r  s       r  	cons_f767r	  &  sM    q1Q3w!a%!A$$q&1R55.!99AaDD@!A$$GGGr  c                 v    t          | ||z  z   t          d          z   | |z   t          d          z             S r  r  r  s       r  	cons_f768r	  +  s4    QqS1Q44!a!A$$777r  c                 L    t          | ||z  z   t          d          z             S r  r  r  s      r  	cons_f769r	  0  r  r  c                 V    t          | ||z  z   t          d          z   | |z             S r  r~  r  s       r  	cons_f770r	  5  s*    q1Q3w1~rAv...r  c                     t          | ||z  z   t          d          z   ||z
   t          d          |z  t          d          z   z            S r  r  r  s       r  	cons_f771r	  :  sC    Q1Wqtt^q1uXqttAv!}%=>>>r  c                     t          | ||z  z   t          d          z   t          d          |z  t          d          |z  z
            S r  r~  r  s       r  	cons_f772r
  ?  s<    q1Q3w1~qttAv!Q777r  c                 T    t          | ||z  z   t          d          z   ||z
            S r  ri  r  s       r  	cons_f773r
  D  s(    A!GaddNAE***r  c                     t          ||z
  | ||z  z   t          d          z   t          d          |z  t          d          |z  z
            S r  ri  r  s       r  	cons_f774r
  I  sB    AE1qs7QqTT>1Q446AaDDF?;;;r  c           	      p    t          t          d          t          | t          t          d                    S r  r&  rm  s    r  	cons_f775r
  N  s$    !B%%AtQqTT:::r  c                     t          | ||z  z   t          d          z   t          d          |z  t          d          |z  z
            S r  r  r  s       r  	cons_f776r	
  S  s<    Q1Wqtt^QqTT!Vadd1f_555r  c                     t          | ||z  z   t          d          z   t          d           ||z
  z  |t          d          z   z            S r  r  r  s       r  	cons_f777r
  X  sC    Q1Wqtt^addUAE]A!H%=>>>r  c                 h    t          | ||z  z   t          d          z   t          d                    S r  ri  r  s      r  	cons_f778r
  ]  s*    A!GaddNAaDD)))r  c                 .    t          |  |z   |z             S r7  r8  r	  s      r  	cons_f779r
  b  s    aR!VaZ   r  c                 L    t          | t          d          |z  z
  |z             S rO  rQ  rS  rF  r  s      r  	cons_f780r
  g  "    Q1aZ!^$$$r  c                 ,    t          | |z
  |z             S r7  r8  r
  s      r  	cons_f781r
  l      QUQYr  c                 @    t          | t          d          z             S Nr  rQ  r  s    r  	cons_f782r
  q      Q2Yr  c                 @    t          | t          d          z             S r,  rQ  r  s    r  	cons_f783r
  v  r
  r  c                     t          ||z  | |z
  t          d          |z  t          d          z   z  z   t          d          z             S rz  r  r  s      r  	cons_f784r
  {  sA    !q1uqttAv!}55!<===r  c                 6    t          | ||z  z   | |z             S r7  )rP   r  s       r  	cons_f785r 
    s     QqS1"q&)))r  c                 h    t          | ||z  z   t          d          z   t          d                    S r  r  r  s      r  	cons_f786r"
    s*    q1Q3w1~qtt,,,r  c                     t          | ||z  z   ||z
  t          d          |z  t          d          z   z  z   t          d          z   t          d                    S r  r  r  s       r  	cons_f787r$
    sM    q1Q3w!a%!A$$q&1Q44-!881Q44?1FFFr  c                 T    t          | ||z  z   ||z
  t          d          z             S r  r~  r  s       r  	cons_f788r&
    s(    q1Q3wA"...r  c                 V    t          | ||z  z   | |z   t          d          z             S r  r~  r  s       r  	cons_f789r(
    s*    q1Q3wQ2///r  c                 T    t          | ||z  z   ||z
  t          d          z             S r  ri  r  s       r  	cons_f790r*
    s(    A!GQUQrUU]+++r  c                 T    t          | ||z  z   ||z
  t          d          z             S r  rd  r  s       r  	cons_f791r,
    s(    A!GQUQrUU]333r  c                 @   t          t          t          d          t          |t          t          d                    t          | ||z  z   ||z
  t          d          |z  t          d          z   z  z   t          d          z   t          d                              S r@  ra  r  s       r  	cons_f792r.
    s    *QrUUIq$!==uQ1WPQTUPUXYZ[X\X\]^X^abcdaeaeXeOfEfijklimimEmopqrosos?t?tuuur  c           	          t          t          | t          d          dz  z             t          | t          d          dz  z                       S Nr  rP  r{  r  r  s    r  	cons_f793r1
    s>    %AbEE!G$$eA!QJ&7&7888r  c                 @    t          | t          d          z             S r  rQ  r  s    r  	cons_f794r3
    r
  r  c                 ,    t          | |z
  |z             S r7  r8  )rS  kr  s      r  	cons_f795r6
    r
  r  c                 L    t          | t          d          |z  z
  |z             S rO  rQ  )rS  r5
  rF  s      r  	cons_f796r8
    r
  r  c                 (    t          |  |z             S r7  r  rS  r5
  s     r  	cons_f797r;
    r
  r  c                 "    t          | |          S r7  r>  )rS  r?  s     r  	cons_f798r=
    rA  r  c                 "    t          | |          S r7  r>  )r5
  r?  s     r  	cons_f799r?
    rA  r  c                 &    t          | |z            S r7  r  r  s     r  	cons_f800rA
        !}}r  c                     t          |t          t          t          t          f          rdS t          t          | |||||||||	|
|          |          S r^  ru  )r:  rC  rX  r  r  r  r  rF  rI  r  r  sr?  s                r  	cons_f801rE
    r  r  c                 "    t          | |          S r7  r>  )rD
  r?  s     r  	cons_f802rG
    rA  r  c                 ,    t          | |z  |z            S r7  r  rC  r  r  s      r  	cons_f803rJ
        1Qr  c                 4    t          |  |z  |z  |z             S r7  r  r  s       r  	cons_f804rM
    s    !Aa!$$$r  c                 @    t          t          d          | z            S r  rb  r  s    r  	cons_f805rO
    r  r  c                 v    t          |t          t          t          t          f          rdS t          | |          S r^  r`  ra  r  rb  r  r   r?  s     r  	cons_f806rR
    2    a#wu566 	51a   r  c                 "    t          | |          S r7  r,  r  r  s     r  	cons_f807rV
    r  r  c           	          t          |t          t          t          t          f          rdS t          t          | ||||          |          S r^  ru  )r:  rC  rX  rF  rI  r?  s         r  	cons_f808rX
    ru  r  c                 F    t          t          d          | z  |z             S rO  rQ  r  s     r  	cons_f809rZ
    s    QqTT!Vb[!!!r  c                 @    t          t          d          | z            S rO  rb  r  s    r  	cons_f810r\
    r  r  c                     t          |t          t          t          t          f          rdS t          t          | |                    S r^  )r`  ra  r  rb  r  r7   r   r?  s     r  	cons_f811r^
    s:    a#wu566 	5<1%%&&&r  c                     t          |t          t          t          t          f          rdS t          t          | |          |          S r^  r`  ra  r  rb  r  r1   r   r/  s      r  	cons_f812ra
    :    a#wu566 	5tAqzz1%%%r  c                     t          |t          t          t          t          f          rdS t          t          t          | |          |                    S r^  r`  ra  r  rb  r  r7   r   r   r/  s      r  	cons_f813re
    sB    a#wu566 	5<Q

A..///r  c                     t          |t          t          t          t          f          rdS t          t          | ||          |          S r^  r`
  r  rd  r  r?  s       r  	cons_f814rh
    s<    a#wu566 	5tAq!}}a(((r  c           	          t          |t          t          t          t          f          rdS t          t          t          | ||          |                    S r^  rd
  rg
  s       r  	cons_f815rj
  $  sD    a#wu566 	5<Q1q11222r  c                     t          |t          t          t          t          f          rdS t          t          | |||          |          S r^  r`
  r  rd  r  r?  r+  s        r  	cons_f816rm
  +  s@    a#wu566 	5tAq!Q''+++r  c           
          t          |t          t          t          t          f          rdS t          t          t          | |||          |                    S r^  rd
  rl
  s        r  	cons_f817ro
  2  sH    a#wu566 	5<Q1a 0 0!44555r  c                 v    t          |t          t          t          t          f          rdS t          | |          S r^  r`  ra  r  rb  r  r   r?  s     r  	cons_f818rr
  9  2    a#wu566 	5!Qr  c                     t          |t          t          t          t          f          rdS t          t          | |                    S r^  r`  ra  r  rb  r  r7   r   r?  s     r  	cons_f819rv
  @  :    a#wu566 	5?1a(()))r  c                 v    t          |t          t          t          t          f          rdS t          | |          S r^  rq
  rc  s     r  	cons_f820ry
  G  rs
  r  c           	          t          |t          t          t          t          f          rdS t          t          t          | |          t          ||                              S r^  )	r`  ra  r  rb  r  r7   r  r   r   r/  s      r  	cons_f821r{
  N  sN    a#wu566 	53|Aq))?1a+@+@AABBBr  c                 v    t          |t          t          t          t          f          rdS t          | |          S r^  rq
  r  r?  s     r  	cons_f822r~
  U  rs
  r  c           
          t          |t          t          t          t          f          rdS t          t          t          t          | |          |          t          ||                              S r^  )
r`  ra  r  rb  r  r7   r  r   r   r   rg
  s       r  	cons_f823r
  \  sV    a#wu566 	53|DAJJ22OAq4I4IJJKKKr  c                     t          |t          t          t          t          f          rdS t          t          t          | |          |                    S r^  )r`  ra  r  rb  r  r7   r   r   r/  s      r  	cons_f824r
  c  sB    a#wu566 	5?41::q11222r  c                 v    t          |t          t          t          t          f          rdS t          | |          S r^  r`  ra  r  rb  r  r   r?  s     r  	cons_f825r
  j  0    a#wu566 	5Ar  c                     t          |t          t          t          t          f          rdS t          t          | |                    S r^  r`  ra  r  rb  r  r7   r   r?  s     r  	cons_f826r
  q  :    a#wu566 	5>!Q''(((r  c                     t          |t          t          t          t          f          rdS t          t          | |          |          S r^  r`  ra  r  rb  r  r   r   r/  s      r  	cons_f827r
  x  s:    a#wu566 	5aQ'''r  c                     t          |t          t          t          t          f          rdS 	 t          t          | |          t          ||          z
            S # t          t          f$ r Y dS w xY wr^  	r`  ra  r  rb  r  r   r   rg  rh  r/  s      r  	cons_f828r
    u    a#wu566 	5	1--q!0D0DDEEE>* 	 	 	55	   -A A/.A/c                     t          |t          t          t          t          f          rdS t          t          t          | |          |                    S r^  r`  ra  r  rb  r  r7   r   r   r/  s      r  	cons_f829r
    sB    a#wu566 	5>$q!**a00111r  c                     t          |t          t          t          t          f          rdS t          t          | ||          |          S r^  r
  rg
  s       r  	cons_f830r
    <    a#wu566 	5aA***r  c                     t          |t          t          t          t          f          rdS 	 t          t          | |          t          ||          z
            S # t          t          f$ r Y dS w xY wr^  r
  )r  r  r?  s      r  	cons_f831r
    r
  r
  c           	          t          |t          t          t          t          f          rdS t          t          t          | ||          |                    S r^  r
  rg
  s       r  	cons_f832r
    D    a#wu566 	5>$q!Q--33444r  c                     t          |t          t          t          t          f          rdS t          t          | ||          |          S r^  r
  r3  s       r  	cons_f833r
    r
  r  c                     t          |t          t          t          t          f          rdS 	 t          t          | |          t          ||          z
            S # t          t          f$ r Y dS w xY wr^  r
  r  r?  r+  s      r  	cons_f834r
    r
  r
  c           	          t          |t          t          t          t          f          rdS t          t          t          | ||          |                    S r^  r
  r3  s       r  	cons_f835r
    r
  r  c                 v    t          |t          t          t          t          f          rdS t          | |          S r^  )r`  ra  r  rb  r  r   r?  s     r  	cons_f836r
    2    a#wu566 	5#Aq)))r  c                     t          |t          t          t          t          f          rdS t          t          | |                    S r^  )r`  ra  r  rb  r  r7   r   r?  s     r  	cons_f837r
    s;    a#wu566 	5,Q22333r  c                 v    t          |t          t          t          t          f          rdS t          | |          S r^  r`  ra  r  rb  r  r   r?  s     r  	cons_f838r
    rs
  r  c                     t          |t          t          t          t          f          rdS t          t          | |                    S r^  )r`  ra  r  rb  r  r7   r   r?  s     r  	cons_f839r
    rw
  r  c                 v    t          |t          t          t          t          f          rdS t          | |          S r^  r
  rc  s     r  	cons_f840r
    rs
  r  c           	          t          |t          t          t          t          f          rdS t          t          t          | |          t          ||                              S r^  	r`  ra  r  rb  r  r7   r  r   r   r/  s      r  	cons_f841r
    N    a#wu566 	53~a++_Q-B-BCCDDDr  c                 v    t          |t          t          t          t          f          rdS t          | |          S r^  r
  rc  s     r  	cons_f842r
    r
  r  c           	          t          |t          t          t          t          f          rdS t          t          t          | |          t          ||                              S r^  r`  ra  r  rb  r  r7   r  r   r/  s      r  	cons_f843r
    N    a#wu566 	53~a++^Aq-A-ABBCCCr  c                 v    t          | t          t          t          t          f          rdS t          ||           S r^  r
  r*  s     r  	cons_f844r
    r
  r  c           	          t          |t          t          t          t          f          rdS t          t          t          ||          t          | |                              S r^  r
  r
  s      r  	cons_f845r
    r
  r  c           	          t          |t          t          t          t          f          rdS t          t          t          ||          t          | |                              S r^  r
  r
  s      r  	cons_f846r
    r
  r  c                 v    t          |t          t          t          t          f          rdS t          | |          S r^  )r`  ra  r  rb  r  r   r?  s     r  	cons_f847r
    2    a#wu566 	5$Q***r  c                     t          |t          t          t          t          f          rdS t          t          | |                    S r^  )r`  ra  r  rb  r  r7   r   r?  s     r  	cons_f848r
    s;    a#wu566 	5-a33444r  c                     t          |t          t          t          t          f          rdS 	 t          t          ||          t          | |          z
            S # t          t          f$ r Y dS w xY wr^  )
r`  ra  r  rb  r  r   r   r   rg  rh  r
  s      r  	cons_f849r
    sv    a#wu566 	5	1--0J1a0P0PPQQQ>* 	 	 	55	r
  c           	          t          |t          t          t          t          f          rdS t          t          t          ||          t          | |                              S r^  )	r`  ra  r  rb  r  r7   r  r   r   r
  s      r  	cons_f850r
  %  sO    a#wu566 	53~a++-G1-M-MNNOOOr  c                 H    t          |  t          d          z  |z             S r  rQ  r  s     r  	cons_f851r
  ,       aR!Wq[!!!r  c                 h    t          t          d           | z  t          d          z  |z             S r  rQ  r	  s     r  	cons_f852r
  1  +    addU1WQqTT\A%&&&r  c                 f    t          t          d          | z  |z
  t          d          z             S r  rQ  r  s     r  	cons_f853r
  6  )    QqTT!VaZ!A$$&'''r  c                 2    t          | |z  ||z  z             S r7  r8  r:  rX  r  r  s       r  	cons_f854r
  ;  r  r  c                 @    t          | t          d          z             S r  r  r  s    r  	cons_f855r
  @  r  r  c                 F    t          || t          d          z   z            S r  r  r  s     r  	cons_f856r
  E  s    1qtt8---r  c                     t          |t          t          t          t          f          rdS t          | ||t          d          z   z            S ra  r`  ra  r  rb  r  r   r  r+  r  r?  s      r  	cons_f857r
  J  s@    a#wu566 	5RQ1X'''r  c           
          t          |t          t          t          t          f          rdS t          t          | ||t          d          z                       S r  r`  ra  r  rb  r  r   r   r  r+  rF  r?  s      r  	cons_f858r
  Q  sF    a#wu566 	5b!Q2Y//000r  c           	      v    t          t          |          t          | t          d          z                       S r  )r  r   r   r  r  s     r  	cons_f859r
  X  s-    "1%%uQ2Y'7'7888r  c                 |    t          |t          t          t          t          f          rdS t          | ||z            S r^  rh  r
  s      r  	cons_f860r
  ]  s4    a#wu566 	5RAr  c           	          t          |t          t          t          t          f          rdS t          t          | |t          d                              S r  )r`  ra  r  rb  r  r   r   r  r4  s     r  	cons_f861r
  d  sB    a#wu566 	5U2q!A$$''(((r  c                      t          |           S r7  r  )r+  s    r  	cons_f862r
  k  r	  r  c                     t          |t          t          t          t          f          rdS t          |t          | |          z   t          d          z   t          d                    S NFr{  r   r`  ra  r  rb  r  rQ   r   r  r
  s      r  	cons_f863r
  p  sP    a#wu566 	5Ab!$qtt+QqTT222r  c                     t          |t          t          t          t          f          rdS t          t          | |          |t          d          z             S r  r
  r
  s      r  	cons_f864r
  w  sD    a#wu566 	5E"aLL!aee),,,r  c                 2    t          | |z  ||z  z             S r7  r8  )r:  rC  r  r  s       r  	cons_f865r
  ~  r  r  c                 T    t          t          d           | z  |z  ||z  z             S r  rQ  )r:  rC  r  r  s       r  	cons_f866r
    (    addU1WQY1_%%%r  c                 t    t          | t          d          z   |z  |t          d          z  |z  z             S r  rQ  r  r  r:  rC  s       r  	cons_f867r
    3    a1gXaZ!QqTT'!)+,,,r  c                 t    t          | t          d          z   |z  |t          d          z  |z  z             S r  r  r
  s       r  	cons_f868r
    s3    AaDD
Q!WQY.///r  c                 N    t          |  |z  |t          d          z  z             S rO  rQ  r  r  r  s      r  	cons_f869r
    s$    aRTAqttG^$$$r  c                 r    t          | t          d          z  |z  |t          d          z  |z  z             S r  rQ  r  r  r:  rC  s       r  	cons_f870r     r  r  c                     t          | |t          d          dz  z  z  ||t          d          dz  z  z  |t          d          dz  z  z  z
  t          d          |z  |t          d          dz  z  z  z
            S r.  rQ  r  s        r  	cons_f871r    so    Qq1Q446{]Qq1Q446{]1qttAv;%>>1aAaDDQRFASSTTTr  c                     t          | |t          d          dz  z  z  |t          d          dz  z  z  t          d          |z  |t          d          dz  z  z  z             S Nr{  rR  rP  rQ  r
  s       r  	cons_f872r    sW    Qq1Q446{]1qttAv;.1aAaDDF1CCDDDr  c                     t          | |t          d          dz  z  z  t          d          |z  |t          d          dz  z  z  z
            S r  rQ  r  r  r:  rC  s       r  	cons_f873r    sD    Qq1Q446{]QqTT!VA!QK%77888r  c                    t          | | t          d          dz  z  z  || t          d          dz  z  z  | t          d          dz  z  z  z
  t          d          |z  | t          d          dz  z  z  z
            S r.  rQ  r  s        r  	cons_f874r
    s    Qadd1f~%A21a.(81"!Q(GG!A$$q&STRTXYZ[X\X\]^X^Q_J__```r  c                     t          | | t          d          dz  z  z  | t          d          dz  z  z  t          d          |z  | t          d          dz  z  z  z             S r  rQ  r
  s       r  	cons_f875r    s^    Qadd1f~%rQqTT!Vn4qttAvrQqTT!Vn7LLMMMr  c                     t          | | t          d          dz  z  z  t          d          |z  | t          d          dz  z  z  z
            S r  rQ  r  s       r  	cons_f876r    sI    Qadd1f~%!Qadd1f~(==>>>r  c                     t          | |t          d          dz  z  z  ||t          d          dz  z  z  | t          d          dz  z  z  z   t          d          |z  | t          d          dz  z  z  z
            S r.  rQ  r  s        r  	cons_f877r    sx    Qq1Q446{]Qq1Q446{]QB!A$$q&>%AAAaDDFQBRSTURVRVWXRX>DYYZZZr  c                     t          | |t          d          dz  z  z  | t          d          dz  z  z  t          d          |z  | t          d          dz  z  z  z
            S r  rQ  r
  s       r  	cons_f878r    s[    Qq1Q446{]QB!A$$q&>1AaDDFQB!A$$q&>4IIJJJr  c                     t          | |t          d          dz  z  z  t          d          |z  | t          d          dz  z  z  z
            S r  rQ  r  s       r  	cons_f879r    sF    Qq1Q446{]QqTT!VaR1Q446N%::;;;r  c                     t          | | t          d          dz  z  z  ||t          d          dz  z  z  | t          d          dz  z  z  z   t          d          |z  |t          d          dz  z  z  z
            S r.  rQ  r  s        r  	cons_f880r    sy    Qadd1f~%!add1f+rQqTT!Vn(DDqttAvaRSTURVRVWXRXkGYYZZZr  c                     t          | |t          d          dz  z  z  | t          d          dz  z  z  t          d          |z  |t          d          dz  z  z  z
            S r  rQ  r
  s       r  	cons_f881r    sY    Qq1Q446{]QB!A$$q&>1AaDDF1qttAv;4FFGGGr  c                     t          | | t          d          dz  z  z  t          d          |z  |t          d          dz  z  z  z
            S r  rQ  r  s       r  	cons_f882r    sG    Qadd1f~%!Qq1Q446{(::;;;r  c                     t          | |||z  t          d          dz  z  z  z
  t          d          |z  ||z  t          d          dz  z  z  z
            S r  rQ  r  s        r  	cons_f883r    sR    QAaC1Q446?**QqTT!VQqSAaDDFO-CCDDDr  c                     t          | ||z  t          d          dz  z  z  t          d          |z  ||z  t          d          dz  z  z  z             S r  rQ  r
  s       r  	cons_f884r    sM    Q!qttAv&1a1!Q)??@@@r  c                 x    t          | t          d          |z  ||z  t          d          dz  z  z  z
            S r  rQ  r  s       r  	cons_f885r     s6    Q1a1!Q//000r  c           
          t          | |t          ||z  t          d                    z  z
  t          d          |z  t          ||z  t          d                    t          d          z  z  z
            S rQ  r   r  r  r  s        r  	cons_f886r#    s\    Q2ac1Q44==(1Q446"QqS!A$$--12E+EEFFFr  c           
          t          | t          ||z  t          d                    z  t          d          |z  t          ||z  t          d                    t          d          z  z  z             S rQ  r"  r
  s       r  	cons_f887r%    sW    Qr!A#qtt}}_qttAvb1addmmQqTT.A'AABBBr  c           
          t          | t          d          |z  t          ||z  t          d                    t          d          z  z  z
            S r  r   r  r  r  s       r  	cons_f888r(    sA    Q1a1Q3!qtt 333444r  c                     t          | || |z  t          d          dz  z  z  z   t          d          |z  | |z  t          d          dz  z  z  z
            S r  rQ  r  s        r  	cons_f889r*    sX    QQBqDAaDDF+++add1fqbdadd1f5E.EEFFFr  c                     t          | | |z  t          d          dz  z  z  t          d          |z  | |z  t          d          dz  z  z  z
            S r  rQ  r
  s       r  	cons_f890r,    sS    Q1!Q''!A$$q&1"Q$!A$$q&1A*AABBBr  c                 z    t          | t          d          |z  | |z  t          d          dz  z  z  z
            S r  rQ  r  s       r  	cons_f891r.     s9    Q1a!A1a 000111r  c           
          t          | |t          | |z  t          d                    z  z   t          d          |z  t          | |z  t          d                    t          d          z  z  z
            S rQ  r"  r  s        r  	cons_f892r0    sa    Q2qbdAaDD>>))AaDDF2qbdAaDD>>1Q443G,GGHHHr  c           
          t          | t          | |z  t          d                    z  t          d          |z  t          | |z  t          d                    t          d          z  z  z
            S rQ  r"  r
  s       r  	cons_f893r2  
  s\    Qr1"Q$!~~%!Qr1"Q$!~~qtt/C(CCDDDr  c           
          t          | t          d          |z  t          | |z  t          d                    t          d          z  z  z
            S r  r'  r  s       r  	cons_f894r4    sC    Q1aA2a41! 444555r  c           	          t          t          | t          d          z   |z  |t          d          z  |z  z             t          t	          ||z                                S r  )r  r   r  r7   r(   r
  s       r  	cons_f895r6    sO    %AaDD
Q!WQY.//Yqs^^1D1DEEEr  c                 @    t          t          | |z                      S r7  rl  rQ  s     r  	cons_f896r8    r  r  c                 @    t          t          ||| |                    S r7  rl  r  s       r  	cons_f897r:    s    9Q1a(()))r  c                     t          | |||z  t          d          dz  z  z  z
  |||z  t          d          dz  z  z  z             S r  rQ  r  s        r  	cons_f898r<  #  sH    QAaC1Q446?**Q!qttAv->>???r  c                     t          | ||z  t          d          dz  z  z  |||z  t          d          dz  z  z  z
            S r  rQ  r
  s       r  	cons_f899r>  (  sC    Q!qttAv&AaC1Q446?)::;;;r  c                 X    t          | |||z  t          d          dz  z  z  z             S r  rQ  r  s       r  	cons_f900r@  -  s,    QAaC1Q446?**+++r  c                     t          | || |z  t          d          dz  z  z  z   || |z  t          d          dz  z  z  z             S r  rQ  r  s        r  	cons_f901rB  2  sN    QQBqDAaDDF+++a!A1a0@.@@AAAr  c                     t          | | |z  t          d          dz  z  z  || |z  t          d          dz  z  z  z             S r  rQ  r
  s       r  	cons_f902rD  7  sI    Q1!Q''!aRTQqTT!V,<*<<===r  c                 Z    t          | || |z  t          d          dz  z  z  z             S r  rQ  r  s       r  	cons_f903rF  <  s/    QQBqDAaDDF+++,,,r  c                 &    t          | |z            S r7  rq  rQ  s     r  	cons_f904rH  A  r  r  c                 B    t          | |z  t          d                    S rh  r~  rQ  s     r  	cons_f905rJ  F      qsAaDD!!!r  c                 B    t          | |z  t          d                    S rh  ri  rQ  s     r  	cons_f906rM  K  s    AaC1r  c                     t          |t          t          t          t          f          rdS t          t          | |          |          S r^  )r`  ra  r  rb  r  rQ   r   r
  s      r  	cons_f907rO  P  s:    a#wu566 	5E"aLL!$$$r  c           
          t          |t          || z  t          d                    z  |t          d          t          t          d                    z
  z  z
            S rG  r   r  r  r  r  s       r  	cons_f908rR  W  G    Qr!A#qtt}}_q!A$$add*;'<<===r  c           
          t          |t          || z  t          d                    z  |t          d          t          t          d                    z
  z  z
            S rG  r   r  r  r  r  s       r  	cons_f909rV  \  G    "QqS!A$$--!QqTTD1JJ->*??@@@r  c           
          t          |t          || z  t          d                    z  |t          d          t          t          d                    z   z  z
            S rG  rQ  r  s       r  	cons_f910rY  a  rS  r  c           
          t          |t          || z  t          d                    z  |t          d          t          t          d                    z   z  z
            S rG  rU  r  s       r  	cons_f911r[  f  rW  r  c           
         t          t          d          |z  t          || z  t          d                    t          d          z  z  |t          d          t          t          d                    z
  z  z
            S r.  )r   r  r  r  r  s       r  	cons_f912r]  k  s]    QqTT!VBqsAaDDMM1Q44//!QqTTD1JJ5F2GGHHHr  c           
         t          t          d          |z  t          || z  t          d                    t          d          z  z  |t          d          t          t          d                    z
  z  z
            S r.  )r   r  r  r  r  s       r  	cons_f913r_  p  s]    !Qr!A#qtt}}add22Q!tAaDDzz8I5JJKKKr  c                 t    t          |  |t          d          z  z  ||t          d          z  z  z             S r  rQ  r  s       r  	cons_f914ra  u  rp	  r  c                 t    t          |  |t          d          z  z  ||t          d          z  z  z             S r  r  r  s       r  	cons_f915rc  z  rx	  r  c           	          t          |t          t          t          t          f          rdS t          t          | |t          d                              S r  r
  r4  s     r  	cons_f916re    sB    a#wu566 	5b!QqTT**+++r  c           
          t          |t          t          t          t          f          rdS t          t          | ||t          d          z  z                      S r  )r`  ra  r  rb  r  r7   r   r  r
  s      r  	cons_f917rg    sH    a#wu566 	55Q1Q44[))***r  c                     t          |t          t          t          t          f          rdS t          t          | |          |t          d          z             S r  )r`  ra  r  rb  r  r$   r   r  r
  s      r  	cons_f918ri    sD    a#wu566 	5U2q\\1quu9---r  c                     t          |t          t          t          t          f          rdS t          |t          d          z   t          | |                    S r  )r`  ra  r  rb  r  rP   r  r   r
  s      r  	cons_f919rk    sD    a#wu566 	5QrUUE"aLL111r  c                     t          |t          t          t          t          f          rdS t          t          | |          t          | ||z                      S r^  )r`  ra  r  rb  r  r  r   r
  s      r  	cons_f920rm    sF    a#wu566 	5%A,,b!Q$000r  c                 (    t          | ||z            S r7  )r   )r+  rF  rd  s      r  	cons_f921ro    s    RAr  c           	          t          | |z  |z  || |z  ||z  z   z  ||t          d          z   z  t          d          z   z  z
            S r  rQ  r  s           r  	cons_f922rq    sK    QqSUQ!ac	]Aq1Q44xL1Q44,?@@AAAr  c           	          t          | |z  |z  ||z  |z  t          d          |z  |t          d          z   z  t          d          z   z  z
            S rz  rQ  r:  rC  rX  r  r  r  rF  rI  s           r  	cons_f923rt    sN    QqSUQqSUAaDDFA!H$5!$<==>>>r  c                 f    t          | |t          d          z   z  t          d          z             S r  rQ  r  s     r  	cons_f924rv    s)    QAaDD\AaDD()))r  c	           
          t          | |z  |z  |t          d          z   z  || |z  ||z  z   z  |||t          d          z   z  z   t          d          z   z  z
            S r  rQ  rI  s	            r  	cons_f925rx    s_    QqSUA!H%1Q319q1a!A$$h<7G!A$$7N(OOPPPr  c	           
          t          | |z  |z  |t          d          z   z  ||z  |z  |t          d          |z  |t          d          z   z  z   t          d          z   z  z
            S r  rQ  )	r:  rC  rX  r  r  r  r  rF  rI  s	            r  	cons_f926rz    sb    QqSUA!H%!Aq1Q4461qtt83D/Dqtt/K(LLMMMr  c                 v    t          |t          t          t          t          f          rdS t          | |          S r^  rQ
  )r-  r?  s     r  	cons_f927r|    s2    a#wu566 	52q!!!r  c           	      ~    t          | |z  ||z  ||t          d          z   z  t          d          z   z  z
            S r  rQ  )r:  rC  r  r  rF  rI  s         r  	cons_f928r~    r(  r  c           	          t          | |z  ||z  t          d          |z  |t          d          z   z  t          d          z   z  z
            S rz  rQ  )r:  rX  r  r  rF  rI  s         r  	cons_f929r    sF    QqS1Q3!QAaDD 1AaDD 899:::r  c                 2    t          | |z  ||z  z             S r7  r8  r  s       r  	cons_f930r    r  r  c           
          t          | |z  |t          d          z   z  ||z  |||t          d          z   z  z   t          d          z   z  z
            S r  rQ  )r:  rC  r  r  r  rF  rI  s          r  	cons_f931r    ru  r  c           
          t          | |z  |t          d          z   z  ||z  |t          d          |z  |t          d          z   z  z   t          d          z   z  z
            S r  rQ  )r:  rX  r  r  r  rF  rI  s          r  	cons_f932r    sY    QqS!add(^ac1qttAvq1Q44x/@+@1Q44+G&HHIIIr  c                 H    t          t          d           | z  |z             S r  rQ  )rF  r*  s     r  	cons_f933r    r  r  c                 B   t          | t          d          z  |z  |t          d          z   z  || |z  ||z  ||t          d          z   z  t          d          z   z  z
  z  |t          d          |z  t          d          z   z  t          d          z   z  z
            S NrP  r{  rR  rQ  rs  s           r  	cons_f934r    s    Q!WQYAaDD)AqsQqS!Q1X,1:M5N/N,OQRTUVWTXTXYZTZ]^_`]a]aTaQbefgheieiQi,jjkkkr  c                    t          | t          d          z  |z  |t          d          z   z  | |z  |z  |t          d          z   z  t          d          |z  |t          d          z   z  t          d          z   z  z
  || |z  ||z  ||t          d          z   z  t          d          z   z  z
  z  ||t          d          z   z  t          d          z   z  z
            S rz  rQ  r  s           r  	cons_f935r    s,   Q!WQYAaDD)AaCE1qtt8,<add1fa!A$$h>ORSTURVRV>V,WWZ[]^_`]`cdefcfhiklopqrososkshtwxyzw{w{h{c|]|Z}  @A  CD  GH  IJ  GK  GK  CK  @L  OP  QR  OS  OS  @S  [T  T  U  U  	Ur  c           	      6   t          | t          d          z  |z  |t          d          z   z  ||z  |z  ||t          d          z   z  t          d          z   z  |t          d          |z  t          d          z   z  t          d          z   z  z             S r  rQ  )r:  rC  rX  r  r  rF  rI  s          r  	cons_f936r    s    Q!WQYAaDD)AaCE1a!A$$h<!A$$3F,GAaDDQRFUVWXUYUYMIZ]^_`]a]aIa,bbcccr  c           	         t          | t          d          z  |z  |t          d          z   z  | |z  |z  |t          d          z   z  t          d          |z  |t          d          z   z  t          d          z   z  z
  |t          d          z  |z  ||t          d          z   z  t          d          z   z  ||t          d          z   z  t          d          z   z  z             S rz  rQ  )r:  rC  rX  r  r  rF  rI  s          r  	cons_f937r    s!   Q!WQYAaDD)AaCE1qtt8,<add1fa!A$$h>ORSTURVRV>V,WWZ[]^_`]a]aZabcZcefhilmnolplphpeqtuvwtxtxexZy{|~  CD  EF  CG  CG  G  |H  KL  MN  KO  KO  |O  [P  P  Q  Q  	Qr  c                 t   t          | |z  |z  |t          d          z   z  t          d          |z  |t          d          z   z  t          d          z   z  || |z  ||z  ||t          d          z   z  t          d          z   z  z
  z  ||t          d          z   z  t          d          z   z  z             S r  rQ  )r:  rC  rX  r  r  rF  rI  s          r  	cons_f938r    s    QqSUA!H%qttAvq1Q44x'81Q44'?@1acAaCQRTUXYZ[X\X\T\Q]`abc`d`dQdLeFeCfhiklopqrososkshtwxyzw{w{h{C||}}}r  c           	         t          | |z  |z  |t          d          z   z  t          d          |z  |t          d          z   z  t          d          z   z  |t          d          z  |z  ||t          d          z   z  t          d          z   z  ||t          d          z   z  t          d          z   z  z
            S r  rQ  r&  s         r  	cons_f939r    s    QqSUA!H%qttAvq1Q44x'81Q44'?@1add719aQRUVWXUYUYQYl]^_`]a]aNaCbdeghklmnkokogodpstuvswswdwCxxyyyr  c                 H    t          |  t          d          z  |z             S rO  rQ  r  s     r  	cons_f940r    r
  r  c                 h    t          t          d           | z  t          d          z  |z             S rQ  rQ  r	  s     r  	cons_f941r    r
  r  c                 H    t          t          d           | z  |z             S rO  rQ  )rF  rD
  s     r  	cons_f942r         addU1Wq[!!!r  c                 f    t          t          d          | z  |z
  t          d          z             S rO  rQ  r  s     r  	cons_f943r    r
  r  c                 2    t          | |z  ||z  z             S r7  r8  )r:  rX  r  r  s       r  	cons_f944r    r  r  c                 T    t          t          d           | z  |z  ||z  z             S r  rQ  r
  s       r  	cons_f945r    r
  r  c                 T    t          t          d           | z  |z  ||z  z             S rO  rQ  r  s       r  	cons_f946r  !  r
  r  c                     t          t          d          | z  |z  t          d          |z  |z  z
  t          d          |z  |z  z             S rQ  rQ  )r:  rC  rX  r  r  r  s         r  	cons_f947r  &  sD    QqTT!VAX!Qq(1Q446!83444r  c                 t    t          t          d           | z  |z  t          d          |z  |z  z             S r  rQ  r   s       r  	cons_f948r  +  s3    addU1WQY1a)***r  c           	         t          |t          t          t          t          f          rdS t          t          t          d           |z  |z  |t          d          z  z             t          t          | |          |                    S )NFr  rP  )
r`  ra  r  rb  r  r  r   r  rQ   r   )r+  r:  rC  rX  rF  r?  s         r  	cons_f949r  0  sk    a#wu566 	5)QqTTE!GAI1Q44/00$uR||Q2G2GHHHr  c                      t          |           S r7  r  r[  s    r  	cons_f950r  7  r  r  c                      t          |           S r7  r  r[  s    r  	cons_f951r  <  r  r  c                     t          |t          t          t          t          f          rdS t          t          | ||z                      S r^  )r`  ra  r  rb  r  r7   r   r
  s      r  	cons_f952r  A  s<    a#wu566 	55QT??###r  c                 F    t          | t          d          dz  z             S r  r  r  s    r  	cons_f953r  H  r  r  c                 (    t          |  |z             S r7  rI  rR  s     r  	cons_f954r  M      Qr  c                 R    t          | |z  | z   |z
  t          d          z             S r  rQ  rS  rF  rI  s      r  	cons_f955r  R  s'    QqS1Wq[1Q44'(((r  c                 ^    t          | ||z  z
  |z
  t          d          z   | |z
  z            S r  r  r  s      r  	cons_f956r  W  s0    QqS1quu!4q1u =>>>r  c                 F    t          | |z  t          d          z             S r  r  rS  rI  s     r  	cons_f957r  \      !add
###r  c                 $    t          | ||          S r7  rq  r  s      r  	cons_f958r  a  rP  r  c                 >    t          t          d          | |          S rh  ri  rR  s     r  	cons_f959r  f  rk  r  c                 b    t          | |z  t          d          z   t          d                    S r  ri  r  s     r  	cons_f960r  k  &    AaC!A$$J!%%%r  c                 F    t          | |z  t          d          z             S r  r  r  s     r  	cons_f961r  p  r  r  c                 P    t          | |z  t          d          z   |  |z             S r  r~  r  s      r  	cons_f962r  u  s&    qsQqTTzA26***r  c                 F    t          | t          d          dz  z             S r  r  rm  s    r  	cons_f963r  z  r  r  c                 F    t          | |z  t          d          z             S r  rQ  r  s     r  	cons_f964r    r  r  c                 @    t          | t          d          z             S r,  r  r  s    r  	cons_f965r        AbEE	"""r  c                 "    t          | |          S r7  rq  rR  s     r  	cons_f966r    r  r  c                 d    t          t          d          |z  t          d          z   | |          S NrP  r  ri  rR  s     r  	cons_f967r    s(    AaDDFQrUUNAq)))r  c                 (    t          |  |z             S r7  r  rR  s     r  	cons_f968r    r
  r  c                 &    t          | |z            S r7  r  rR  s     r  	cons_f969r    rB
  r  c                 Z    t          |  |z   ||z  z   |z   t          d          z             S r  rQ  rS  r  rF  rI  s       r  	cons_f970r    s.    aR!Vac\A%!,---r  c                 V    t          t          |          t          |                     S r7  r  )rX  rS  s     r  	cons_f971r    r  r  c                 d    t          | |z
  ||z  z
  |z
  t          d          z   | |z
  z            S r  r  r  s       r  	cons_f972r    s4    Q1q1R55!81q5 ABBBr  c                 L    t          | |z  |z   t          d          z             S r  r  rS  r  rI  s      r  	cons_f973r    "    !a!A$$'''r  c                 X    t          t          ||          t          |                     S r7  )r  r   r   )rX  rS  rF  s      r  	cons_f974r    s     )Aq//9Q<<000r  c                 `    t          | t          d          z  t          d          z             S ru  r  r  s    r  	cons_f975r    s$    1Q44!B%%(((r  c                 &    t          | |||          S r7  rq  r  s       r  	cons_f976r        Aq!$$$r  c                 h    t          | |z  |z   t          d          z   t          d                    S r  ri  r  s      r  	cons_f977r    s*    AaC!GaddNAaDD)))r  c                 V    t          | |z  |z   t          d          z   |  |z             S r  r~  r  s       r  	cons_f978r    s*    qsQw1~rAv...r  c                 X    t          | |z  | z   |z   |z
  t          d          z             S r  r  r  s       r  	cons_f979r    s+    1q1q1Q44/000r  c                 L    t          | |z  |z   t          d          z             S r  r|  r  s      r  	cons_f980r    s"    1q1Q44(((r  c                 L    t          | |z  |z   t          d          z             S r  rQ  r  s      r  	cons_f981r    s"    QqS1Wqtt^$$$r  c                 h    t          |  t          d          z  |z   t          d          z             S rz  rQ  rS  r  s     r  	cons_f982r    s+    aR!Wq[1Q44'(((r  c                 (    t          |  |z             S r7  rI  r:
  s     r  	cons_f983r    r  r  c                 &    t          | |z            S r7  r  )r5
  rF  s     r  	cons_f984r    rB
  r  c                 ,    t          | |z
  |z
            S r7  r8  )r1  rS  rF  s      r  	cons_f985r    s    R!VaZ   r  c                     t          | |z  ||z  |z   t          d          z   z  ||z  ||z   |||z   z  z   t          d          z   z  z
            S r  rQ  )r:  rC  rX  r  rS  r  rF  rI  s           r  	cons_f986r     sU    QqS!A#'AaDD.)AaCQAE1BQqTT1I,JJKKKr  c                 V    t          t          |           t          |                    S r7  r  r   r   r  rS  s     r  	cons_f987r    r\  r  c                 $    t          | ||          S r7  rq  r  s      r  	cons_f988r    rP  r  c                 V    t          t          d          t          | t          |          S rh  r;  r  s     r  	cons_f989r        !A$$aA666r  c                 V    t          t          |           t          |                    S r7  )r  r   r   r  s     r  	cons_f990r    s    )A,,,,,r  c                 d   t          t          | |z  |z   t          d                    t          t	          |t          d          dz  z   |t          d          dz  z             t          |t          d                    t          || |z  t          d          z                                 S )Nr  rP  r   )r  rQ   r  r  r   r  s       r  	cons_f991r    s    $qsQw"&&Ia!B%%'k1quuQw;,O,OQUVWYZ[\Y]Y]Q^Q^`defijhjklhlopqsototht`u`u(v(vwwwr  c                 X    t          t          |           t          ||                    S r7  r  )r  rS  rF  s      r  	cons_f992r    s     )A,,	!Q000r  c                 R    t          | |z  |z   |z
  t          d          z             S r  r  r  s       r  	cons_f993r    s'    !a!add*+++r  c                 X    t          ||z   || |z   z  z   t          d          z             S r  r  r  s       r  	cons_f994r    s,    A1q5	)AaDD0111r  c                     t          t          t          |t          d          z             t          | t          d          z                                 S r  r7   r  r   r  rR  s     r  	cons_f995r    s>    3uQ2Y''q1R55y)9)9::;;;r  c                 X    t          t          d          | t          d                    S rL  ri  r  s    r  	cons_f996r    r  r  c                 \    t          | t          d          z  t          d                    S rz  r~  r  s    r  	cons_f997r  $  s"    q!A$$w!%%%r  c                 *    t          | || |z            S r7  r-  rR  s     r  	cons_f998r  )  s    1ac***r  c                 "    t          | |          S r7  r-  rR  s     r  	cons_f999r  .  rM  r  c                 "    t          | |          S r7  r	  rR  s     r  
cons_f1000r   3  s    Aqzzr  c                     t          t          d          | t          d          z  z  |z  t          d          |t          d          z  z  z             S N   rP  r  rR  rQ  r:  rC  r  s      r  
cons_f1001r%  8  sA    QrUU1add7]1_qttAqttG|3444r  c                     t          t          d          | t          d          z  z  |z  t          d          |t          d          z  z  z             S r"  r  r$  s      r  
cons_f1002r'  =  sA    "a1ga!A$$q!A$$w,6777r  c                     t          t          d          | z  |t          d          z  z  t          d          |t          d          z  z  z             S r"  rQ  r:  rX  r  s      r  
cons_f1003r*  B  sA    QrUU1WQ!W_qttAqttG|3444r  c                     t          t          d          | z  |t          d          z  z  t          d          |t          d          z  z  z             S r"  r  r)  s      r  
cons_f1004r,  G  sA    "a1Q44!A$$q!A$$w,6777r  c                 n    t          t          d           | z  |z  |t          d          z  z             S rQ  rQ  r  s      r  
cons_f1005r.  L  r  r  c                 n    t          t          d           | z  |z  |t          d          z  z             S rQ  rQ  r  s      r  
cons_f1006r0  Q  r  r  c                 n    t          t          d           | z  |z  |t          d          z  z             S rQ  r  r  s      r  
cons_f1007r2  V  r  r  c                 n    t          t          d           | z  |z  |t          d          z  z             S rQ  r  r  s      r  
cons_f1008r4  [  r  r  c                     t          |t          t          t          t          f          rdS t          | |t          d                    S NFrR  r
  r?  s     r  
cons_f1009r7  `  :    a#wu566 	5Q1Q44   r  c                     t          |t          t          t          t          f          rdS t          t          | |                    S r^  )r`  ra  r  rb  r  r7   r   r?  s     r  
cons_f1010r:  g  s:    a#wu566 	5;q!$$%%%r  c                     t          |t          t          t          t          f          rdS t          | |t          d                    S r6  r
  rc  s     r  
cons_f1011r<  n  r8  r  c           	          t          |t          t          t          t          f          rdS t          t          t          | |          t          ||                              S r^  )	r`  ra  r  rb  r  r7   r  r   r   r/  s      r  
cons_f1012r>  u  sN    a#wu566 	53|Aq));q!+<+<==>>>r  c                 &    t          | |z             S r7  r8  r  r  s     r  
cons_f1013rA  |  r  r  c                 l    t          | t          d          z  t          d          | z  |z
  z            S rO  r  rY  s     r  
cons_f1014rC    -    AqttGQqTT!VaZ()))r  c                 l    t          | t          d          z  t          d          | z  |z
  z            S rO  r  rY  s     r  
cons_f1015rF    rD  r  c                     t          t          d          | z  |t          d          z  z  t          d          |z  |z  |z  z
  |t          d          z  z             S N   rP  r  rR  rQ  r   s       r  
cons_f1016rJ    sN    QqTT!VAqttG^add1fQhqj01add7:;;;r  c                 <    t          | t          d                    S rO  r  r  rm  s    r  
cons_f1017rM    r  r  c                 <    t          | t          d                    S r  rL  rm  s    r  
cons_f1018rO    r  r  c                 v    t          |t          t          t          t          f          rdS t          | |          S r^  rQ
  rc  s     r  
cons_f1019rQ    rS
  r  c                     t          |t          t          t          t          f          rdS t          t          | |          t          d                    S )NFr  )r`  ra  r  rb  r  r$   r   r  rc  s     r  
cons_f1020rS    s@    a#wu566 	5Xa^^QqTT***r  c                     t          t          d          | t          d          z  z  |z  t          d          | z  |z  |z  z
  |t          d          z  z             S rH  rQ  r  s       r  
cons_f1021rU    sN    QqTT!QqTT'\!^add1fQhqj01add7:;;;r  c                 (    t          |  |z             S r7  r8  r  s     r  
cons_f1022rW    r	  r  c                 (    t          |  |z             S r7  r8  )r:  r  s     r  
cons_f1023rY    r	  r  c           
         t          |t          t          t          t          f          rdS t          t          | |t          d          z  z  | z   ||t          d          z  z  z   ||z  z   ||t          d          z  z  z                       S )NFr  rR  rP  )r`  ra  r  rb  r  r*   r  r  rv  s       r  
cons_f1024r[    sy    a#wu566 	5F1Q!W9q=1Q!W94qs:Qq!A$$wYFGGHHHr  c                 "    t          | |          S r7  r>  )r  r?  s     r  
cons_f1025r]    rA  r  c                     t          |t          d          z  |z  t          d          |z  t          d          | z  |z  ||z  z   z  z
  t          d          |z  | |z  ||z  z   z  z             S rO  rQ  )r  r  r  rC  rX  r  r  s          r  
cons_f1026r_    sh    Q!WQY1a1aAaC!881Q4461Q319;MMNNNr  c           	         t          t          d           | z  |z  |z  |z  t          d          | z  |z  t          d          | z  |z  |t          d          z  z   z  z   |t          d          z  |z  z
  t          d          |t          d          z  z  |z  |z  z   t          d          |t          d          z  z  |z  z
            S )Nr  rP  rR  rI  rQ  )r  r  r  r:  rX  r  r  s          r  
cons_f1027ra    s    addU1WQYq[]QqTT!VAXqttAvax!QqTT'/A%BBQ!WQYNQRSTQUQUVWYZ[\Y]Y]V]Q]^_Q_`aQaadefgdhdhijlmnolplpipdpqrdrrsssr  c           	          t          ||t          d           |z  |z  |t          d          z  z   z  t          d          |z  t          d           | z  |z  ||z  z   z  z   z            S r  r  r  r  r  rX  r  r  s         r  
cons_f1028rd    e    Aq1Q44%'!)a1g-.1a!A$$qQqS1IIJKKKr  c                 2    t          | |z  ||z  z             S r7  r8  )r  r  rC  r  s       r  
cons_f1029rg    r  r  c                 t    t          | t          d          z   |z  |t          d          z  |z  z             S rO  rQ  )r  r  r:  r  s       r  
cons_f1030ri    r
  r  c           
          t          |t          d           | z  |t          d          z  z  |t          d           |z  |z  |t          d          z  z   z  z   z            S NrI  rP  r  r  r  r  rX  r  r  s        r  
cons_f1031rm    X    A!uQwq!A$$wQqTTE!GAI1Q44,?)@@ABBBr  c           	          t          ||t          d           |z  |z  |t          d          z  z   z  t          d          |z  t          d           | z  |z  ||z  z   z  z   z            S r  r  rc  s         r  
cons_f1032rp    re  r  c           
          t          |t          d           | z  |t          d          z  z  |t          d           |z  |z  |t          d          z  z   z  z   z            S rk  r  rl  s        r  
cons_f1033rr    rn  r  c           	         t          t          d          |z  t          d           |z  |z  ||z  z   t          d          z  z  t          d          t          d           |z  |z  ||z  z   z  t          d           | z  |t          d          z  z  t          d          |z  |z  |z  z
  t          d          |z  |z  |z  z   t          d          |z  |z  |z  z   z  z
  t          d          t          d           |z  |z  t          d          |z  |z  z   z  |  |z  |z  ||z  |z  z
  ||z  |z  z   z  z             S )Nr  rP  rI  rR  rQ  )r  r  r  r  rC  rX  r  r  s           r  
cons_f1034rt    sK   QqTT!VaddU1WQY1_qtt33addQqTTE!GAI!O6LqQRtteTUgVWYZ[\Y]Y]V]o`abc`d`def`fgh`hij`jNjmnopmqmqrsmstumuvwmwNwz{|}z~z~  @A  {A  BC  {C  DE  {E  OE  7F  F  IJ  KL  IM  IM  PQ  RS  PT  PT  OT  UV  OV  WX  OX  [\  ]^  [_  [_  `a  [a  bc  [c  Oc  Id  gh  fh  ij  fj  kl  fl  op  qr  or  st  ot  ft  wx  yz  wz  {|  w|  f|  I}  }  ~  ~  	~r  c	           
         t          t          d          |z  t          d           |z  |z  t          d          |z  |z  z   t          d          z  z  t          d          |z  t          d           |z  |z  ||z  z   t          d          z  z  t          d           |z  |z  t          d          |z  |z  z   z  z
  t          d          |z  t          d           | z  |z  ||z  z   z  t          d           |z  |z  ||z  z   z  t          d           |z  |z  t          d          |z  |z  z   z  z   t          d          |z  t          d           |z  |z  ||z  z   t          d          z  z  z   t          d          |z  t          d           | z  |z  ||z  z   z  t          d          t          d           | z  |z  ||z  z   z  t          d           |z  |z  t          d          |z  |z  z   z  t          d          t          d           |z  |z  ||z  z   t          d          z  z  z   z  z
            S )NrI  r  rR  rP  rQ  )	r  r  r  r  r:  rC  rX  r  r  s	            r  
cons_f1035rv    s   QqTT!VaddU1WQY1a1AaDD881Q446AaDD5719qQRs?UVWXUYUYBY;Y\]^_\`\`[`ab[bcd[dghijgkgklmgmnogo[o;ppstuvswswxysy|}~  }A  }A  |A  BC  |C  DE  |E  HI  JK  HK  |K  tL  OP  QR  OS  OS  NS  TU  NU  VW  NW  Z[  \]  Z]  N]  t^  ab  cd  ae  ae  `e  fg  `g  hi  `i  lm  no  lp  lp  qr  lr  st  lt  `t  tu  u  xy  z{  x|  x|  }~  x~  AB  CD  AE  AE  @E  FG  @G  HI  @I  LM  NO  LO  @O  RS  TU  RV  RV  V  xV  V  YZ  [\  Y]  Y]  ^_  Y_  bc  de  bf  bf  af  gh  ah  ij  aj  mn  op  mp  ap  Yq  st  uv  sw  sw  z{  |}  z~  z~  y~  @  y@  AB  yB  EF  GH  EH  yH  sI  LM  NO  LP  LP  KP  QR  KR  ST  KT  WX  YZ  W[  W[  \]  W]  ^_  W_  K_  s`  cd  ef  cg  cg  jk  lm  jn  jn  in  op  ip  qr  ir  uv  wx  ux  ix  {|  }~  {  {  h  c  s  Y@  @  A  A  	Ar  c           	      ,   t          |t          d          z  |t          d          z  z  |z  ||z  t          d           | z  |t          d          z  z  t          d          t          z  |z  |z  z
  t          d          |z  |z  |z  z   t          d          |z  |z  |z  z   z  z
  t          d          t          d           t          z  |z  t          d          |z  |z  z   z  |  |z  |z  t          |z  |z  z
  ||z  |z  z   z  z             S )NrP  rI  r  rR  )r   r  r  )r  r  rC  rX  r  r  s         r  
cons_f1036rx    s   Q!WQ!W_Q&1qtteAga1go!Qq
.JQqTTRSVTUXVWZ.WZ[\]Z^Z^_`Z`abZbcdZd.d)eehijkhlhlopqrososnstunuvwnwz{|}z~z~  @A  {A  BC  {C  oC  iD  GH  FH  IJ  FJ  KL  FL  OP  QR  OR  ST  OT  FT  WX  YZ  WZ  [\  W\  F\  i]  ]  ^  ^  	^r  c           
      x   t          t          d          |t          d          z  z  |z  |t          d          z  z  t          d          |z  |z  |z  t          d           |z  |z  ||z  z   t          d          z  z  z
  t          d          |z  |t          d          z  z  t          d           | z  |z  ||z  z   z  t          d           |z  |z  ||z  z   z  z   t          d          |z  t          d           |z  |z  ||z  z   t          d          z  z  z   |t          d           | z  |z  ||z  z   z  t          d          |z  |z  t          d           | z  |z  ||z  z   z  t          d          t          d           |z  |z  ||z  z   t          d          z  z  z   z  z
            S )N6   rR     rP  r  rQ  )r  r  r  r:  rC  rX  r  r  s           r  
cons_f1037r|    s   QrUU1add7]1_Q!W,qttAvaxzAaDD5719qs?QqTT:Q/QQTUVWTXTXYZTZ[\^_`a^b^b[bTbefgheieidijkdklmdmpqrspsdsTtwxyzw{w{v{|}v}~v  CD  EF  CF  wF  UG  G  JK  LM  JN  JN  OP  JP  ST  UV  SW  SW  RW  XY  RY  Z[  R[  ^_  `a  ^a  Ra  de  fg  dh  dh  Qh  Jh  h  kl  op  qr  os  os  ns  tu  nu  vw  nw  z{  |}  z}  n}  k~  @A  BC  @D  @D  EF  @F  GH  @H  KL  MN  KO  KO  JO  PQ  JQ  RS  JS  VW  XY  VY  JY  @Z  ]^  _`  ]a  ]a  de  fg  dh  dh  ch  ij  cj  kl  cl  op  qr  or  cr  uv  wx  uy  uy  by  ]y  @y  kz  z  {  {  	{r  c                 r    t          | |t          d          z  z  ||t          d          z  z  z
            S rO  rQ  r  s       r  
cons_f1038r~    rK  r  c                 r    t          | |t          d          z  z  ||t          d          z  z  z
            S rO  rQ  rC  r  r  r  s       r  
cons_f1039r    rK  r  c                 r    t          | |t          d          z  z  ||t          d          z  z  z
            S rO  r  r  s       r  
cons_f1040r  	  r  r  c                 r    t          | |t          d          z  z  ||t          d          z  z  z
            S rO  r  r  s       r  
cons_f1041r    r  r  c                 H    t          t          d           | z  |z             S rO  rQ  r  s     r  
cons_f1042r    r  r  c                 l    t          | |t          d          z  z  |t          d          z  z
            S rO  rQ  r  s      r  
cons_f1043r    s-    Qq!A$$wYAaDD()))r  c                 l    t          | |t          d          z  z  |t          d          z  z
            S rO  r  r  s      r  
cons_f1044r    s-    !QqTT'	AqttG+,,,r  c           	          t          |t          t          t          t          f          rdS t          t          | ||||          |          S r^  ru  )r:  rC  rX  r  r  r?  s         r  
cons_f1045r  "  ru  r  c                     t          | |t          d          z  z  ||t          d          z  z  |t          d          z  z  z   ||t          d          z  z  z             S r  r  rF  s        r  
cons_f1046r  )  sS    !QqTT'	Aa1gIa1g$55!QqTT'	ABBBr  c                     t          | |z  |t          d          z  z  t          d          |z  |t          d          z  z  z             S r  rQ  r   s       r  
cons_f1047r  .  s?    QqSAaDD[1Q446!QqTT'>1222r  c                     t          | |z  |t          d          z  z  t          d          |z  |t          d          z  z  z             S r  r  r   s       r  
cons_f1048r  3  s?    !AqttGadd1fQ!Wn4555r  c                 r    t          | |t          d          z  z  ||t          d          z  z  z             S r  r  rI  s       r  
cons_f1049r  8  r  r  c                 2    t          | |z  ||z  z             S r7  r8  )r  r  r  r  s       r  
cons_f1050r  =  r  r  c                 2    t          | |z  ||z  z             S r7  r8  )r  r  r:  rX  s       r  
cons_f1051r  B  r  r  c                 2    t          | |z  ||z  z             S r7  r8  rI  s       r  
cons_f1052r  G  r  r  c           	          t          |t          d          z   | |t          d          z  z  ||z  |z  z
  ||t          d          z  z  z   z  | |z  ||z  z   t          d          z  z             S rO  rQ  r  s           r  
cons_f1053r  L  sn    a1gXqAaDDy1Q3q501Q!W9<=!A!aPQdd@RRSSSr  c                     t          t          d           |z  |z  |z  t          d          |t          d          z  z  |z  z   |t          d          z  |  |z  t          d          |z  |z  z   z  z
            S rO  rQ  )rC  rX  r  r  r  r  r  s          r  
cons_f1054r  Q  sm    addU1WQYq[1Q441Q44<>1AqttGaRTAaDDF1H_4MMNNNr  c                 :   t          |t          t          t          t          f          rdS t          t          t          ||          t          ||          t          t          |          t          | t          d          z                                           S r  )r`  ra  r  rb  r  r7   r  r   r   r  r   r  )r  rS  r  rd  r?  s        r  
cons_f1055r  V  sx    a#wu566 	53|Aq))?1a+@+@"U1XXuUVYZ[]Y^Y^U^O_O_B`B`aabbbr  c                    t          |t          t          t          t          f          rdS t          | t          d          z   |t          d          z  z  |t          d          z  t          ||t          d                    z  ||z  t          ||t          d                    z  z
  |t          d          z  t          ||t          d                    z  z   z  |t          ||t          d                    z  || |z  t          ||t          d                    z   z  z
  t          d          z  z             S )NFrP  r{  r   r`  ra  r  rb  r  r   r  r4   )r  r  r  rS  r5
  r  rd  r?  s           r  
cons_f1056r  ]  s   a#wu566 	5a1gXa1g%q!A$$w{1a1/F/F'F1[YZ\]_`ab_c_cMdMdId'dghjklmjnjngnoz{|~  BC  DE  BF  BF  pG  pG  hG  (G  H  LM  NY  Z[  ]^  `a  bc  `d  `d  Ne  Ne  Le  hi  kl  mn  kn  q|  }~  @A  CD  EF  CG  CG  qH  qH  kH  hI  LI  LM  NO  LP  LP  KP  P  Q  Q  	Qr  c                 n    t          |  |t          d          z  z  |t          d          z  z             S rO  rQ  )rX  r  r  s      r  
cons_f1057r  d  /    aR1Q44Z!QqTT')***r  c           
      2   t          |t          t          t          t          f          rdS t          | t          d          z   t          ||t          d                    z  t          ||t          d                    t          d          z  z             S NFrP  r{  r  )r  r  rd  r?  s       r  
cons_f1058r  i  sy    a#wu566 	5a1gXk!Q!555Aq!A$$8O8OQRSTQUQU8UUVVVr  c                 4    t          |  |z  ||z  z             S r7  r8  )r:  rX  r  r  s       r  
cons_f1059r  p  r  r  c                 B    t          |t          d          | z            S rO  ra  r  s     r  
cons_f1060r  u  s    AaDDF###r  c                 \    t          t          |          t          || z                      S r7  r  )rX  r  r  s      r  
cons_f1061r  z  r  r  c                 4    t          |  |z  ||z  z             S r7  r8  )rC  rX  r  r  s       r  
cons_f1062r    r  r  c                 @    t          t          || z                      S r7  r  )rX  r  s     r  
cons_f1063r    r  r  c                     t          |t          t          t          t          f          rdS t          t          | |          |          S r^  r.  rd  r  r?  s      r  
cons_f1064r    r1  r  c                 V   t          |t          t          t          t          f          rdS t          t          t          ||          t          t          ||          |          t          t          |          t          | t          d          z                                           S r  )r`  ra  r  rb  r  r7   r  r   r   r   r  r   r  )r  rS  r  rd  r  r?  s         r  
cons_f1065r    s    a#wu566 	53|Aq))?41::q+I+I2eTUhhX]^_bcdfbgbg^gXhXhKiKijjkkkr  c           
      X   t          |t          t          t          t          f          rdS t          | t          d          z   |t          d          z  z  t          ||t          d                    z  t          ||t          d                    t          d          z  z             S r  r  )r  r5
  r  rd  r?  s        r  
cons_f1066r    s    a#wu566 	5a1gXa1g%k!Q!&=&==AqRSTURVRV@W@WYZ[\Y]Y]@]]^^^r  c                 F    t          |t          d          | z  z
            S rO  rQ  r  s     r  
cons_f1067r    rU  r  c                 l    t          | t          d          z  |t          d          z  |z  z
            S rO  rQ  r  s      r  
cons_f1068r    -    Q!Wq!A$$wqy()))r  c                 l    t          | t          d          z  |t          d          z  |z  z
            S rO  rQ  r$  s      r  
cons_f1069r    r  r  c                 L    t          | |t          d          z  |z  z             S rO  rQ  r  s      r  
cons_f1070r    s"    QAaDD]###r  c                 R    t          | |t          d          z  |z  |z  z             S rO  rQ  r:  rC  rX  r  s       r  
cons_f1071r    s&    QAaDD1_%%%r  c                 n    t          |  |t          d          z  z  |t          d          z  z             S rO  rQ  r  s      r  
cons_f1072r    r  r  c                 H    t          | t          d          z   |z             S rO  rQ  )rC  r  s     r  
cons_f1073r         a1gX\"""r  c                 P    t          |  |z  ||z  z   t          d                    S rh  rQ  r  s       r  
cons_f1074r    s&    aRTAaCZ1&&&r  c                     t          | t          d          z   |z  |t          d          z   t          d          z  z  |t          d          z  |z  z             S ru  rQ  )r  r  r:  r  rF  s        r  
cons_f1075r    sM    a1gXaZQrUUQqTT 11AqttGAI=>>>r  c                 x    t          t          d          | z  |z  |t          d          z   z  ||z  z             S ru  rQ  )r  r  rX  r  rF  s        r  
cons_f1076r    s6    QqTT!VAXq1R55y)AaC/000r  c                 f    t          | t          d          |z  z
  t          d          z             S r  rQ  )r5
  r  s     r  
cons_f1077r    s)    Q1aZ!B%%'(((r  c                    t          | t          d          z   |z  ||z
  t          d          z   t          d          z  z  |t          d          z  |z  |t          d          z   t          d          z  z  z             S rz  rQ  )r  r  r:  r  r  rF  s         r  
cons_f1078r    sk    a1gXaZQ1! 44q!A$$wqy!add(QqTTAQ7QQRRRr  c                     t          t          d           | z  |z  ||z
  t          d          z   z  ||z  |t          d          z   z  z             S rz  rQ  )r  r  rX  r  r  rF  s         r  
cons_f1079r    sJ    addU1WQYA!-!Q1X>???r  c           	         t          t          d           | t          d          z  z  |t          d          z  z  | t          d          z  |z  |t          d          z  z  z   t          d          | z  |z  |z  | |z  t          d          |z  |z  z   z  z   t          d          |t          d          z  z  |t          d          z  z  z   ||z  |z  t          d          | z  |z  |t          d          z  z   z  z
            S )N   rR  rP  rp  r{  rQ  r:  rC  rX  r  r  r  s         r  
cons_f1080r    sU   aeeVAqttG^AqttG+a1gai1Q44.??!A$$q&(1*aPQcTUVWTXTXYZTZ[\T\nB]]`abc`d`defhijkhlhlel`lmnpqrsptptmt`ttwxyzwz{|w|~  AB  C  C  DE  E  FG  G  JK  MN  OP  MQ  MQ  JQ  Q  xR  R  S  S  	Sr  c                    t          | t          d          z  |z  |t          d          z  z  |z  t          d          | t          d          z  z  |t          d          z  z  t          d           | z  |z  ||z  z   z  z   t          d          | t          d          z  z  |t          d          z  z  |z  |z  |z  z
  t          d          |t          d          z  z  |t          d          z  z  |z  z   |t          d          z  |z  t          d           | z  |z  |z  | |z  |z  z   t          d          |z  |z  |z  z   z  z
            S )NrR  rP  r{  r  r  rQ  r;  s          r  
cons_f1081r    s6   Q!WQYq!A$$w&q(1Q441Q44<1Q44+?!A$$qQqS+QQTUVWTXTXYZ\]^_\`\`Y`T`abdefgdhdhahThijTjklTlmnTnnqrstququvwyz{|y}y}v}q}~  BC  DE  BF  BF  F  rF  GH  rH  H  KL  NO  PQ  NR  NR  KR  ST  KT  WX  Y[  W\  W\  V\  ]^  V^  _`  V`  ab  Vb  ef  gh  eh  ij  ej  Vj  mn  op  mq  mq  rs  ms  tu  mu  vw  mw  Vw  Kx  x  y  y  	yr  c                 T    t          |  |z  t          d          |z  |z  z             S r  r  r  s       r  
cons_f1082r    r  r  c                 z    t          t          d           | t          d          z  z  |z  ||z  |z  z             S rO  r  )r:  rC  rX  r  r  s        r  
cons_f1083r    s7    1a1ga!A#a%/000r  c                     t          t          d          | t          d          z  z  |z  | |z  |z  z
  ||z  |z  z             S r  r  r  s         r  
cons_f1084r    sB    !Q!WQ1Q.1Q6777r  c           
         t          t          d          | t          d          z  z  |t          d          z  z  | |z  |t          d          z  z  z
  |t          d           | z  |z  |z  t          d          |t          d          z  z  |z  z   z  z   ||z  |  |z  t          d          |z  |z  z   z  z            S Nr  rP  rR  r  r  s         r  
cons_f1085r    s    QrUU1add7]1add7*QqSAaDD[81qtteAgaikAaDDQRTUVWTXTXQXLYZN>Z;[[^_`a^adecefgcgjklmjnjnopjpqrjrcr^stuuur  c                    t          t          d           | t          d          z  z  |t          d          z  z  | t          d          z  |z  |t          d          z  z  z   t          d          | z  |t          d          z  z  |z  |z  z
  t          d          |t          d          z  z  |t          d          z  z  z             S )Nr  rR  rP  r{  rp  rQ  r:  rX  r  r  r  s        r  
cons_f1086r    s    aeeVAqttG^AqttG+a1gai1Q44.??!A$$q&AaDD.QRBRSTBTTWXYZW[W[\]_`ab_c_c\cWcdeghijgkgkdkWkklllr  c                 <   t          t          d           | t          d          z  z  |t          d          z  z  | t          d          z  |z  |t          d          z  z  |z  z   t          d          | t          d          z  z  |t          d          z  z  |z  |z  |z  z
  | |t          d          z  z  |z  t          d           |z  |z  ||z  z   z  z
  t          d          |t          d          z  z  |t          d          z  z  |z  z             S )Nr  r  rR  rP  rQ  r>  s         r  
cons_f1087r    s   aeeVAqttG^AqttG+a1gai1Q44.?.AAAaDDAaDDLQRTUVWTXTXQXDXYZDZ[\D\]^D^^abcdfghifjfjcjajklalopqsototntuvnvwxnx{|}~{~n~a  CD  EF  CG  CG  HI  KL  MN  KO  KO  HO  CO  PQ  ST  UV  SW  SW  PW  CW  XY  CY  Y  Z  Z  	Zr  c                 P   t          t          d          | t          d          z  z  |t          d          z  z  | |z  |t          d          z  z  z
  t          d          |t          d          z  z  |z  |z  z   ||z  |  |z  t          d          |z  |z  z   z  z            S r  r  r  s        r  
cons_f1088r    s    QrUU1add7]1add7*QqSAaDD[81Q441Q44<>!;KKaPQcTUSUVWSWZ[\]Z^Z^_`Z`abZbSbNcdeeer  c                      t          |           S r7  r  rd  s    r  
cons_f1089r    r  r  c           	          t          |t          t          t          t          f          rdS t          t          t          | |          t          ||                              S r^  )	r`  ra  r  rb  r  r7   r  r   r   r/  s      r  
cons_f1090r    sJ    a#wu566 	53yA	!Q88999r  c                 4   t          |t          t          t          t          f          rdS t          t          t          t          | |t          d                              t          t          ||t          d                                                  S r  )
r`  ra  r  rb  r  r7   r  r   r4   r  r/  s      r  
cons_f1091r    so    a#wu566 	53u[Aqtt4455u[AqQRtt=T=T7U7UVVWWWr  c                 v    t          |t          t          t          t          f          rdS t          | |          S r^  r`  ra  r  rb  r  rY  r?  s     r  
cons_f1092r    s2    a#wu566 	51%%%r  c                 x    t          |t          t          t          t          f          rdS t          | ||          S r^  r  r/  s      r  
cons_f1093r  &  s4    a#wu566 	51a(((r  c                 <    t          | t          d                    S r  r  r  s    r  
cons_f1094r  -  r  r  c                 \   t          t          t          | |          t          | t	          d                    t          |t	          d                    t          t          t          | |z             t          | |z   t	          d          z   t	          d                    t          t          |           t          | t	          d          |z  z   t	          d          z   t	          d                                                            t          t          ||           t          ||                     t          t          |          t          t          |                               t          t          |           t          t          |                                        S r@  )r  r  r(   rQ   r  rR   r7   r   rT   rS   r   rP   r   r  s     r  
cons_f1095r  2  s   #i1ootAquu~~wq!A$$7G7GSQYZ[^_Z_Q`Q`bfghklglopqrososgsuvwxuyuybzbz|~  @I  JK  @L  @L  NZ  [\  _`  ab  _c  _c  de  _e  [e  hi  jk  hl  hl  [l  no  pq  nr  nr  Ns  Ns  }t  }t  Nu  Nu  Jv  Jv  w  w  y|  }M  NO  QR  }S  }S  U^  _`  bc  Ud  Ud  ye  ye  gj  k{  |}  k~  k~  @C  DL  MN  DO  DO  @P  @P  gQ  gQ  SV  Wg  hi  Wj  Wj  lo  px  yz  p{  p{  l|  l|  S}  S}  ~  ~  	~r  c                 :    t          t          |                     S r7  rl  r  s    r  
cons_f1096r   7  ro  r  c                 <    t          | t          d                    S r  r  r  s    r  
cons_f1097r  <  r	  r  c                 <    t          | t          d                    S r  r  r  s    r  
cons_f1098r  A  r  r  c                     t          |t          t          t          t          f          rdS t          t          | |                    S r^  r`  ra  r  rb  r  r7   r1   r?  s     r  
cons_f1099r  F  8    a#wu566 	571a==!!!r  c                  F    t          t          t          d                    S NT)r7   r  	_UseGammar  r  r  
cons_f1100r  M  s    5D))***r  c                 "    t          | |          S r7  r>  )Fr?  s     r  
cons_f1101r  R  rA  r  c
                     t          |	t          t          t          t          f          rdS t          t          | ||||||||	  	        |	          S r^  ru  )
r  rC  rX  r  r  r  r  r  rF  r?  s
             r  
cons_f1102r  W  r  r  c                 v    t          |t          t          t          t          f          rdS t          | |          S r^  r`  ra  r  rb  r  r   r?  s     r  
cons_f1103r  ^  2    a#wu566 	5a###r  c           	          t          |t          t          t          t          f          rdS t          t          t          ||          t          | |                              S r^  )	r`  ra  r  rb  r  r7   r  r   r   r/  s      r  
cons_f1104r  e  sO    a#wu566 	53|Aq))+>q!+D+DEEFFFr  c                     t          |t          t          t          t          f          rdS t          t          | |||||||||	|
          |          S r^  ru  )r  r:  rC  rX  r  r  r  r  r  rF  rI  r?  s               r  
cons_f1105r  l  r9  r  c                 ~    t          ||z  |z  t          |           z  ||z  |z  t          |          z  z
            S r7  r   log)r  Gr  r  r  rS  rF  r  s           r  
cons_f1106r  s  s9    QqSU3q66\AaCE#a&&L0111r  c                     t          |t          t          t          t          f          rdS t          |||||z  z   z  z  |z  |
z  | ||||z  z   z  z  |	z  z
            S r^  rC  )r  r  r  r  r  r  r  rS  r5
  rF  r  r?  s               r  
cons_f1107r   x  sf    a#wu566 	5QAaC[)!+a/1q!ac'{3Ca2GGHHHr  c           	          t          |t          t          t          t          f          rdS t          t          | ||||          |          S r^  ru  )r  r:  rC  rX  rF  r?  s         r  
cons_f1108r"    ru  r  c                  ,    t          t          d          S r
  )r  r  r  r  r  
cons_f1109r$    s    Y%%%r  c                 p   t          |t          t          t          t          f          rdS t          | t          ||t          d                     t          ||t          d                    z  t          ||t          d                    t          ||t          d                    z  z   z  t          ||t          d                    z  t          |           z  |t          d          z   t          ||t          d                    z  t          ||t          d                    z  z             S )NFr   r{  )	r`  ra  r  rb  r  r   r4   r  r  )r  rX  r  r  rd  r  r?  s          r  
cons_f1110r&    s   a#wu566 	5aR+aAaDD111+aAaDD2I2IIKXY[\^_`a^b^bLcLcdopqstvwxyvzvzd{d{L{{|  ~I  JK  MN  PQ  RS  PT  PT  ~U  ~U  U  VY  Z[  V\  V\  \  `a  de  fg  dh  dh  `h  ju  vw  yz  |}  ~  |@  |@  jA  jA  _A  BM  NO  QR  TU  VW  TX  TX  BY  BY  _Y  Y  Z  Z  	Zr  c                 v    t          |t          t          t          t          f          rdS t          | |          S r^  rQ
  r}
  s     r  
cons_f1111r(    rS
  r  c                 R    t          | ||z  |t          d          z   z  z
            S r  rQ  )r  r  r  rF  s       r  
cons_f1112r*    s'    Q1a!A$$h'(((r  c                     t          | |z  |z  t          |           z  ||z  |t          d          z   z  z             S r  )r   r  r  )r  rC  rX  r  r  r  rF  s          r  
cons_f1113r,    s;    aRT!VCFF]QqS!add(^3444r  c                 x    t          | |t          d          z   z  ||z  |t          d          z   z  z
            S r  rQ  )r  r  r  r  rF  s        r  
cons_f1114r.    s5    QAaDD\AaCQqTTN2333r  c           	          t          |t          t          t          t          f          rdS t          t          | ||||          |          S r^  ru  )r  r:  rC  rX  r  r?  s         r  
cons_f1115r0    ru  r  c                 @    t          t          d          | z            S rO  rb  r  s    r  
cons_f1116r2    r  r  c                 Z    t          t          t          d          | z                      S rO  r\  r  s    r  
cons_f1117r4    r^  r  c                 4    t          |  |z  ||z  z             S r7  r8  rl  s       r  
cons_f1118r6    r  r  c                 h    t          t          d           | z  |z   t          d          z             S r  rQ  r  s     r  
cons_f1119r8    s+    addU1Wq[1R55()))r  c                 f    t          t          d          | t          d          z   z  |z            S rz  rb  r  s     r  
cons_f1120r:    s)    !a!A$$h)***r  c                 ~    t          t          d          | t          d          z   |z  t          d                    S )Nr   r{  rq  ri  r  s     r  
cons_f1121r<    s.    AaDD1qtt8Q,!---r  c           
          t          t          t          d          || t          d          z             t          | |t          d                              S r  rP  r  s     r  
cons_f1122r>    s@    $qttQAaDD))41add+;+;<<<r  c                 ~    t          t          d          | t          d          z   |z  t          d                    S )Nr  r{  rq  ri  r  s     r  
cons_f1123r@    s.    AbEEA!Ha<1...r  c                    t          t          t          |t          d                    t	          | t          d                              t          t          d          t          | t          | t          d          z                       S Nr   r  r{  )r  r  rR   r  rQ   r  rP   r  s     r  
cons_f1124rC    se    #ga1&&Q"77AaDD$QRPRT]_`cdefcgcg_g9h9hiiir  c                 (    t          |  |z             S r7  rI  r  r  s     r  
cons_f1125rF    r  r  c                 &    t          | |z            S r7  rI  r  s     r  
cons_f1126rH    rB
  r  c           	          t          |t          t          t          t          f          rdS t          t          t          | |          t          ||                              S r^  )	r`  ra  r  rb  r  r7   r  r   r   r/  s      r  
cons_f1127rJ    sN    a#wu566 	53|Aq))>!Q+?+?@@AAAr  c                 v    t          |t          t          t          t          f          rdS t          | |          S r^  r  rc  s     r  
cons_f1128rL    r  r  c                     t          |t          t          t          t          f          rdS t          t          | |                    S r^  )r`  ra  r  rb  r  r7   r   rc  s     r  
cons_f1129rN    s;    a#wu566 	5&q!,,---r  c                 4    t          |  |z  ||z  z             S r7  r8  rX  r  r  r  s       r  
cons_f1130rQ    r  r  c                 4    t          |  |z  ||z  z             S r7  rI  rP  s       r  
cons_f1131rS     rK  r  c                     t          |t          t          t          t          f          rdS t          t          | |||          |          S r^  ru  )r  r:  rC  rX  r?  s        r  
cons_f1132rU    r  r  c                     t          |t          t          t          t          f          rdS t          t          | |                    S r^  ru
  rc  s     r  
cons_f1133rW    rw
  r  c                 R    t          | |z  t          d          |z  |z  z
            S rO  rQ  r   s       r  
cons_f1134rY    r  r  c                 R    t          | |z  t          d          |z  |z  z
            S rO  r  r   s       r  
cons_f1135r[    r	  r  c                     t          |t          t          t          t          f          rdS t          t          | ||||||          |          S r^  ru  )r  r:  rC  rX  r  r  r  r?  s           r  
cons_f1136r]    r  r  c                     t          |t          t          t          t          f          rdS t          t          d          |z  | ||z  z   z  |z
            S r  r`  ra  r  rb  r  r   r  )rX  r  r  rd  r?  s        r  
cons_f1137r`  $  sL    a#wu566 	5QqTT!VQ1W%)***r  c                     t          |t          t          t          t          f          rdS t          t          | |||||||||	|
          |          S r^  ru  )r  r  r:  rC  rX  r  r  r  r  r  rF  r?  s               r  
cons_f1138rb  +  r9  r  c                 "    t          | |          S r7  r>  )r  r?  s     r  
cons_f1139rd  2  rA  r  c                     t          t          t          ||z  t          |          z  ||z  t          |           z  z                                S r7  r7   r(   r!  r  )r  r  r  r  r  r  s         r  
cons_f1140rg  7  sA    9\!A#c!ff*ac#a&&j*ABBCCDDDr  c                     t          |t          t          t          t          f          rdS t          t          | |||||||||	|
||||          |          S r^  ru  )r  r  Hr:  rC  rX  r  r  r  r  r  rF  r  rD
  tr?  s                   r  
cons_f1141rk  <  sV    a#wu566 	5T!Q1aAq!Q1aAFFJJJr  c                 "    t          | |          S r7  r>  )ri  r?  s     r  
cons_f1142rm  C  rA  r  c                 "    t          | |          S r7  r>  )rj  r?  s     r  
cons_f1143ro  H  rA  r  c                 x    t          ||z  |z  t          |           z  ||z  t          |          z  z             S r7  r  )r  r  r  r  r  r  rF  s          r  
cons_f1144rq  M  s5    QqSU3q66\AaCAJ.///r  c	                     t          t          t          ||z  t          |          z  ||z  t          |          z  z   ||z  t          |           z  z                                S r7  rf  )	r  r  ri  r  r  r  r  rD
  rj  s	            r  
cons_f1145rs  R  sT    9\1Q3s1vv:!CFF
+BQqSQZ*PQQRRSSSr  c                 H    t          t          d           | z  |z             S rO  rQ  r  s     r  
cons_f1146ru  W  r  r  c                     t          |t          t          t          t          f          rdS t          | ||z  z   |z             S r^  )r`  ra  r  rb  r  r   )rX  r  rd  r?  s       r  
cons_f1147rw  \  s<    a#wu566 	5Q1Wq[!!!r  c                 v    t          |t          t          t          t          f          rdS t          | |          S r^  r>  r}
  s     r  
cons_f1148ry  c  rA  r  c                 &    t          | |z             S r7  r8  rd  r  s     r  
cons_f1149r|  j  r  r  c                    t          |t          t          t          t          f          rdS t          t          t          | |t          d                              t          t          | |t          d                    t          d                    t          t          |           t          |                              S r
  )r`  ra  r  rb  r  r  r(   r4   r  rR   rQ   rx   r  s      r  
cons_f1150r~  o  s    a#wu566 	5)K1add3344gk!QPQRSPTPT>U>UWXYZW[W[6\6\^bclmncocoqz{|q}q}^~^~r  c	                     t          |t          t          t          t          f          rdS t          t          | |||||||          |          S r^  ru  )	r  r:  rC  rX  r  r  r  rF  r?  s	            r  
cons_f1151r  v  r  r  c                     t          |t          t          t          t          f          rdS t          t          | ||||||          |          S r^  ru  )r  r:  rX  r  r  r  rF  r?  s           r  
cons_f1152r  }  r  r  c                     t          |t          t          t          t          f          rdS t          t          | ||          |          S r^  ru  )r  r:  rC  r?  s       r  
cons_f1153r    rx  r  c                 <    t          | t          d                    S r  r  r  s    r  
cons_f1154r    rV  r  c                 v    t          |t          t          t          t          f          rdS t          | |          S r^  )r`  ra  r  rb  r  r  r?  s     r  
cons_f1155r    2    a#wu566 	5%a+++r  c                     t          |t          t          t          t          f          rdS t          t          | |          |          S r^  r`
  r  s      r  
cons_f1156r    rb
  r  c                 .   t          |t          t          t          t          f          rdS t          t          | |z   |          t          t          | |z   |          t          t          | |z   |          t          d                                        S r  )r`  ra  r  rb  r  r  r   r  r   rP   r   r  r  s      r  
cons_f1157r    s~    a#wu566 	5)AE1%%s;q1ua+@+@)HUVYZUZ\]L^L^`abc`d`dBeBe'f'fgggr  c           
          t          |t          t          t          t          f          rdS t          t          | |||||          |          S r^  ru  )rX  r  r  r  rI  r  r?  s          r  
cons_f1158r    r6  r  c                     t          |t          t          t          t          f          rdS t          t          | ||          |          S r^  ru  )r  r  r  r?  s       r  
cons_f1159r    rx  r  c                 ,    t          | |z  |z            S r7  r  rC  rI  r  s      r  
cons_f1160r        AaCE{{r  c                 ,    t          | |z  |z            S r7  r  r  s      r  
cons_f1161r    r  r  c                 4    t          |  |z  ||z  z             S r7  r8  r  s       r  
cons_f1162r    r  r  c                 F    t          | |z
  t          d          z             S r  rQ  r  s     r  
cons_f1163r    r  r  c                 \    t          t          |          t          || z                      S r7  r  r  r  rI  s      r  
cons_f1164r    r  r  c           	      v    t          t          t          |          t          || z                                S r7  r  r  s      r  
cons_f1165r    s*    2hqkk9QqS>>22333r  c                 R    t          |t          d          z   | |z  |z  z            S r  r  rC  r  rI  r  s       r  
cons_f1166r    '    Q1X!A&'''r  c                 R    t          |t          d          z   | |z  |z  z            S r  r  r  s       r  
cons_f1167r    r  r  c                 @    t          | | |z  ||z  z   z  |z             S r7  r8  rX  r  r  r  r  s        r  
cons_f1168r    s'    Q1qs
^a'(((r  c                 @    t          | | |z  ||z  z   z  |z             S r7  rI  r  s        r  
cons_f1169r    s'    A2a4!A#:*+++r  c                 8    t          | |||z  |z  z
  z            S r7  r  r  s        r  
cons_f1170r    s     A!AI'''r  c                 4    t          |  |z  ||z  z             S r7  rI  r  s       r  
cons_f1171r    rK  r  c                 b    t          t          d          | z  t          d          |z            S rO  ra  r  s     r  
cons_f1172r    &    1a1a(((r  c                    t          t          |t          d                    t          t	          |                     t          t          |t          d                    t          | t          d          z                                 S r  )r  r$   r  r7   r   r  r   r  s     r  
cons_f1173r    sd    %1Q44..#&6q&9&9":":Ca1PXYZ]^_a]b]bYbPcPc<d<deeer  c                 8    t          ||z  || |z
  z  z             S r7  r8  )rX  r  r  r  rS  s        r  
cons_f1174r    s     QqS1a!e9_%%%r  c           	      r    t          t          |          t          | t          d                              S rh  )r  r   rR   r  r  s     r  
cons_f1175r    r  r  c                     t          |t          t          t          t          f          rdS t          t          | |||||||||	|
|||          |          S r^  ru  )r:  rC  rX  r  r  r  r  r  r  rS  r  rF  rI  r  r?  s                  r  
cons_f1176r    r  r  c                 r    t          | t          d          z  |z  |t          d          z  |z  z             S rO  rQ  r  s       r  
cons_f1177r  
  r  r  c                 F    t          | t          d          |z  z
            S rO  rQ  r  s     r  
cons_f1178r    rU  r  c                 F    t          | t          d          |z  z            S rO  r  r  s     r  
cons_f1179r    s    AaDDF$$$r  c                 |    t          t          |t          d          |z  z
            t          |                     S rO  r  r   r  )r:  rX  r  s      r  
cons_f1180r    s.    (1qttAv:&&444r  c                     t          | t          d          z  |z  | |z  |z  z
  |t          d          z  |z  z             S rO  rQ  )r  r  r  r  r  s        r  
cons_f1181r    >    Q!WQY1Q&AaDD2333r  c                 r    t          | t          d          z  |z  |t          d          z  |z  z             S rO  rQ  )r  r  r  r  s       r  
cons_f1182r  #  r  r  c                      t          |           S r7  r  r  s    r  
cons_f1183r  (  rs  r  c                 2    t          | |z  ||z  z             S r7  r8  )r(  r)  h1h2s       r  
cons_f1184r  -  r  r  c                      t          |           S r7  r  )r(  s    r  
cons_f1185r  2      }}r  c                      t          |           S r7  r  )r)  s    r  
cons_f1186r  7  r  r  c                 "    t          | |          S r7  r>  )r(  r?  s     r  
cons_f1187r  <  r#  r  c                 "    t          | |          S r7  r>  )r  r?  s     r  
cons_f1188r  A  r#  r  c                 "    t          | |          S r7  r>  )r)  r?  s     r  
cons_f1189r  F  r#  r  c                 "    t          | |          S r7  r>  )r  r?  s     r  
cons_f1190r  K  r#  r  c                 :    t          t          |                     S r7  r  r  s    r  
cons_f1191r  P  ro  r  c                 @    t          |||  |z  ||z  z   z  z
            S r7  r8  )r  r  r  rS  r5
  s        r  
cons_f1192r  U  s'    QQBqD1Q3J'(((r  c                 4    t          |  |z  ||z  z             S r7  r8  )r  r  rS  r5
  s       r  
cons_f1193r  Z  r  r  c                     t          t          t          t          t          t
          t          t          t          t          t          	  	        |           S r7  )r`   r   r   rC   rE   r?   r@   rD   r3   rB   rA   r  s    r  
cons_f1194r  _  s-    tC'SZ\cddfghhhr  c                 &    t          | |z             S r7  r8  rU
  s     r  
cons_f1195r  d  r  r  c                 H    t          |  |z   t          d          z             S r  rQ  )r  r1s     r  
cons_f1196r  i  s     aR"Wqtt^$$$r  c           
          t          |t          t          t          t          f          rdS t          t          | |||||          |          S r^  ru  )r:  rC  rX  r  r  rF  r?  s          r  
cons_f1197r  n  r6  r  c                 &    t          | |z             S r7  r8  rc  s     r  
cons_f1198r  u  s    R!V}}r  c                 F    t          |  |z  |z  ||z  |z  z   |z             S r7  r8  rF  s        r  
cons_f1199r  z  s+    aRT!Vac!e^a'(((r  c                 v    t          |t          t          t          t          f          rdS t          | |          S r^  r`  ra  r  rb  r  r   r4  r?  s     r  
cons_f1200r    2    a#wu566 	5 a(((r  c                 n    t          t          d           | z  |z  |t          d          z  z             S r  rQ  )r  r  r  s      r  
cons_f1201r    r  r  c                    t          t          t          t          t          f          rdS fd}t          |          }t          t          t          dt          d                    z  t          dt          d                    z   t          dt          d                    z  t          dt          d                    z  t          d	t          d                    z  t          d
t          d                    z            |          }t          t          | |||z  z  |z  z            |          }	t          |	          S )NFc           
      H    t          t          | |||||                    S r7  r   r   )ccddr  r  ppqqr?  s         r  _cons_f_1201z cons_f1202.<locals>._cons_f_1201  s%    b"aB33Q777r  r  r{  r  r   r  r  r  r  r`  ra  r  rb  r  r   r   r  r  r  r   r7   )
rX  r  rI  r  rd  r?  r  
_cons_1201r  r  s
        `    r  
cons_f1202r    s[   a#wu566 	5	8 	8 	8 	8 	8%l33
o"S!A$$--"S!A$$--(G"TSTUVSWSW..'XY[\`bcdebfbfYgYg'gjlmqstuvswswjxjx&xy{  }A  CD  EF  CG  CG  zH  zH  'H  JK  L  L  NX  Y  Y AadFQ;!B!BCHH=!!!r  c                     t          |t          t          t          t          f          rdS t          t          | ||||||          |          S r^  ru  )r:  rC  rX  rF  rI  r  r  r?  s           r  
cons_f1203r    r  r  c           
          t          |t          t          t          t          f          rdS t          t          |||z  |z  z  | ||||z  z  |z  z  |z  z                      S r^  )r`  ra  r  rb  r  r7   r  )r:  rC  rX  rF  rI  r  r?  s          r  
cons_f1204r    s`    a#wu566 	55QqSUQ1QT6A+'9%9::;;;r  c                 &    t          | |z             S r7  r8  )r"  r#  s     r  
cons_f1205r    s    R"W~~r  c                 "    t          | |          S r7  r>  )r"  r?  s     r  
cons_f1206r
    r#  r  c                 4    t          |  |z  ||z  z             S r7  r8  rX  r  r  r  s       r  
cons_f1207r    r  r  c                 .    t          |  |z  |z             S r7  r8  rI
  s      r  
cons_f1208r        aRTAXr  c                 4    t          |  |z  ||z  z             S r7  r8  r:  rC  r  r  s       r  
cons_f1209r    r  r  c                 4    t          |  |z  ||z  z             S r7  rI  r  s       r  
cons_f1210r    rK  r  c                 4    t          |  |z  ||z  z             S r7  rI  r  s       r  
cons_f1211r    rK  r  c                 F    t          | |z   t          d          z             S rO  rQ  )r  m2s     r  
cons_f1212r    s    QVadd]###r  c                     t          t          t          |t          |t          ||                    t	          t          | t          ||                    t          d                                        |          S r  )r   r  r  r  r  r  )r:  rC  rX  r  r  r?  s         r  
cons_f1213r    s\    Xc!SC1II%6%6C3q!99<M<MqQSuu8U8UVVWWYZ[[[r  c                 T    t          | |z  ||z  z   ||  |z  ||z  z   z  z
            S r7  r8  r;  s          r  
cons_f1214r    s5    aRTAaCZ!aRTAaCZ.0111r  c                 r    t          | t          d          z  |z  |t          d          z  |z  z             S rO  rQ  r  s       r  
cons_f1215r     r  r  c                 l    t          |  |z  |z  ||z  |z  z
  t          d          |z  |z  z             S rO  rQ  rF  s        r  
cons_f1216r"    s9    aRT!Vac!e^add1fQh.///r  c                     t          | t          d          z  |z  | |z  |z  z
  |t          d          z  |z  z             S rO  rQ  )rX  r  r  r  r  s        r  
cons_f1217r$    r  r  c                 r    t          | t          d          z  |z  |t          d          z  |z  z             S rO  rQ  )rX  r  r  r  s       r  
cons_f1218r&    r  r  c                    t          t          t          | t          t	          t          d          t          t          d          |                    t          d                                        t                    S Nr{  r  )r   r  r  r  r  r  r?  r  s     r  
cons_f1219r)    sR    Xc!SQqTT3quua==)A)A1R55%I%IJJKKQOOOr  c                     t          t          t          | t          t	          d          t          t	          d          |                                        t
                    S r(  )r   r  r  r  r  r?  r  s     r  
cons_f1220r+    sB    Xc!S1s1R55!}}%=%=>>??CCCr  c                     t          t          t          | t          |t	          d                                        t
                    S r  )r   r  r  r  r  r?  r  s     r  
cons_f1221r-    s2    Xc!SAbEE]]3344a888r  c                 b    t          t          t          | |                    t                    S r7  )r   r  r  r?  r  s     r  
cons_f1222r/    s"    Xc!Qii((!,,,r  c                 @    t          |  |z  |z  ||z  |z  z             S r7  r8  )r:  rC  rX  r  r  r  s         r  
cons_f1223r1    s&    aRT!Vac!e^$$$r  c                 R    t          |  |z  |z  ||z  |z  z
  ||z  |z  z             S r7  r8  )r:  rC  rX  r  r  r  s         r  
cons_f1224r3    r  r  c                 v    t          |t          t          t          t          f          rdS t          | |          S r^  r`  ra  r  rb  r  r   rc  s     r  
cons_f1225r6  	  2    a#wu566 	5!!Q'''r  c                     t          |t          t          t          t          f          rdS t          t          | |                    S r^  )r`  ra  r  rb  r  r7   r   rc  s     r  
cons_f1226r9    s;    a#wu566 	5*1a00111r  c                     t          |t          t          t          t          f          rdS t          t          | |                    S r^  r
  rc  s     r  
cons_f1227r;    r
  r  c
                     t          |	t          t          t          t          f          rdS t          t          | ||||||||	  	        |	          S r^  ru  )
r:  rC  rX  r  r  r  r  rF  rI  r?  s
             r  
cons_f1228r=    r  r  c	                     t          |t          t          t          t          f          rdS t          t          | |||||||          |          S r^  ru  )	r:  rC  rX  r  r  r  r  rI  r?  s	            r  
cons_f1229r?  %  r  r  c                 f    t          | t          d          z  t          d          dz  z             S ru  rb  r  s    r  
cons_f1230rA  ,  r  r  c                     t          t          | t          d          z  t          d          dz  z                       S ru  r\  r  s    r  
cons_f1231rC  1  1    8AaddFQrUU1W,--...r  c                 v    t          |t          t          t          t          f          rdS t          | |          S r^  r`  ra  r  rb  r  r   r?  s     r  
cons_f1232rG  6  r
  r  c                     t          t          t          |           t          | t	          d                                        S rh  r4  r  s    r  
cons_f1233rI  =  .    3y||T!QqTT]]33444r  c                 r    t          t          |t          d                    t          |                     S r  )r  r$   r  r   r  s     r  
cons_f1234rL  B  s&    %1Q44..(1++...r  c                     t          |t          t          t          t          f          rdS t          t          | |                    S r^  )r`  ra  r  rb  r  r7   r   r  s     r  
cons_f1235rN  G  s:    a#wu566 	5;sA&&'''r  c                     t          |t          t          t          t          f          rdS t          t          ||           |          S r^  r.  r-  r0  r?  s      r  
cons_f1236rQ  N  s:    a#wu566 	5$r2,,***r  c                     t          |t          t          t          t          f          rdS t          t          | |z  |                    S r^  r`  ra  r  rb  r  r   r  rP  s      r  
cons_f1237rT  U  s<    a#wu566 	5Qr"ua[[!!!r  c                 v    t          |t          t          t          t          f          rdS t          | |          S r^  r  )r5  r?  s     r  
cons_f1238rV  \  r  r  c                 @    t          | t          d          z             S r  r  r  s    r  
cons_f1239rX  c  r  r  c                    t          t          t          t          t          f          rdS fd}t          |          }t          t          t          dt          d                    z  t          dt          d                    z            |          }t          t          |           |          }t          t          | t          d          z             |          S )NFc                 @    t          t          | |                    S r7  r  )r  r  r?  s     r  _cons_f_1239z cons_f1240.<locals>._cons_f_1239k  s    aQ'''r  r  r{  r  r  )r`  ra  r  rb  r  r   r   r  r  r  r   r  r   )rd  r?  r[  
_cons_1239r  r  s    `    r  
cons_f1240r]  h  s    a#wu566 	5	( 	( 	( 	( 	(%l33
oqC1C1&FJJJWW A!6!6<<%AbEE	""M222r  c                     t          |t          t          t          t          f          rdS t          t          | |          | z  |          S r^  )r`  ra  r  rb  r  r   r  r?  s     r  
cons_f1241r_  t  s>    a#wu566 	5 1aA...r  c                    t          |t          t          t          t          f          rdS 	 t          t          |           t          t          t          ||          t          t          ||          t          d          z  t          d          z                                           S # t          t          f$ r Y dS w xY w)NFrP  r  )r`  ra  r  rb  r  r  r   r7   r  r   r   r   r  rg  rh  )r:  r  r?  s      r  
cons_f1242ra  {  s    a#wu566 	5	hqkk3s9Q??E.QRTUBVBVXYZ[X\X\B\_`ac_d_dBd<e<e'f'f#g#ghhh>* 	 	 	55	s   B B- -CCc                 v    t          |t          t          t          t          f          rdS t          | |          S r^  rq
  )r0  r?  s     r  
cons_f1243rc    s2    a#wu566 	5"a   r  c                 v    t          |t          t          t          t          f          rdS t          | |          S r^  rF  rc  s     r  
cons_f1244re    r
  r  c                 v    t          |t          t          t          t          f          rdS t          | |          S r^  rF  r}
  s     r  
cons_f1245rg    r
  r  c                     t          |t          t          t          t          f          rdS t          t          | |||          |          S r^  ru  )r:  rC  rF  rI  r?  s        r  
cons_f1246ri    r  r  c                 2    t          | |z  ||z  z
            S r7  rI  r
  s       r  
cons_f1247rk    r  r  c                     t          |t          t          t          t          f          rdS t          t          | |          |          S r^  ru  )r:  r  r?  s      r  
cons_f1248rm    r<  r  c                      t          |           S r7  )r+   r  s    r  
cons_f1249ro    s    qzzr  c                 v    t          |t          t          t          t          f          rdS t          | |          S r^  )r`  ra  r  rb  r  r   r?  s     r  
cons_f1250rq    r7  r  c                 v    t          |t          t          t          t          f          rdS t          | |          S r^  )r`  ra  r  rb  r  r  r?  s     r  
cons_f1251rs    s2    a#wu566 	5&q!,,,r  c                 f    t          | t          d          z  t          d          dz  z             S ru  rb  r  s    r  
cons_f1252ru    r  r  c           
          t          t          t          | t          d          z  t          d          dz  z             t	          t          d          | |                              S NrP  r  r   r7   r  r   r  rQ   r  s     r  
cons_f1253ry    sM    3x!A$$2q 0114!a3C3CDDEEEr  c                     t          t          t          | t          d          z  t          d          dz  z             t	          t          d          t
          | t          |                              S rw  )r7   r  r   r  r  rQ   rP   r  s     r  
cons_f1254r{    sR    3x!A$$2q 011:addD!YXY3Z3Z[[\\\r  c                     t          t          t          d          | z  t          d          |z            t          | |z                       S rO  )r  r   r  r   r  s     r  
cons_f1255r}    s:    )AaDDFAaDDF++U1q5\\:::r  c                     t          |t          t          t          t          f          rdS t          t          | |||          |          S r^  ru  r  s        r  
cons_f1256r    r  r  c                 &    t          | |z             S r7  r8  r  s     r  
cons_f1257r    r  r  c                 X    t          t          d          | t          d                    S r  ri  r  s    r  
cons_f1258r    r!  r  c                    t          t          |          t          t          t          |                    t          t	          |t          d          z             t          | t          d          z                                           S r  )r  r(   r  r7   r   r  r   r:  rC  r  rF  s       r  
cons_f1259r    sd    )A,,C	!$5$5r%AbEE	:J:JHUVYZ[]Y^Y^U^L_L_7`7` a abbbr  c           
          t          |t          t          t          t          f          rdS t          t          | |||||          |          S r^  ru  )r:  rC  r  r  r  rF  r?  s          r  
cons_f1260r    r6  r  c                 F    t          | |z
  t          d          z             S rO  rQ  r  s     r  
cons_f1261r    r  r  c                 &    t          | |z
            S r7  rI  r  s     r  
cons_f1262r    r  r  c                     t          |t          t          t          t          f          rdS t          t          | |          |          S r^  ru  )rX  r  r?  s      r  
cons_f1263r    r<  r  c                     t          |t          t          t          t          f          rdS t          t          | |           |          S r^  ru  rW  s     r  
cons_f1264r    r<  r  c                     t          |t          t          t          t          f          rdS t          t          | ||          |          S r^  ru  )rC  rX  r  r?  s       r  
cons_f1265r  	  rx  r  c                     t          |t          t          t          t          f          rdS t          t          | |||          |          S r^  ru  r>  s        r  
cons_f1266r    r  r  c                 f    t          | t          d          z  |t          d          z  z
            S rO  rQ  rQ  s     r  
cons_f1267r    )    Q!Wq!A$$w&'''r  c                 F    t          | t          d          dz  z             S r  r  r  s    r  
cons_f1268r    r  r  c                 f    t          | t          d          z  |t          d          z  z
            S rO  r  rQ  s     r  
cons_f1269r  !  )    1Q44!QqTT')***r  c                 &    t          | |z             S r7  r  rQ  s     r  
cons_f1270r  &  r  r  c                 &    t          | |z
            S r7  r  rQ  s     r  
cons_f1271r  +  r  r  c                 @    t          t          | |z                       S r7  r  rQ  s     r  
cons_f1272r  0      9QU##$$$r  c                 f    t          | t          d          z  |t          d          z  z
            S rO  r  rQ  s     r  
cons_f1273r  5  )    AaDD1add7*+++r  c                 T    t          t           t          d          z  | z   |           S rO  )r   Pir  r[  s    r  
cons_f1274r  :  s"    AaDD1a(((r  c           	          t          |t          t          t          t          f          rdS t          t          | ||||          |          S r^  ru  r  s         r  
cons_f1275r  ?  ru  r  c                 f    t          | t          d          z  t          d          dz  z             S ru  rb  rm  s    r  
cons_f1276r  F  r  r  c                 .   t          t          |t          d                    t          t	          t          |t          d          dz  z             t          | t          d          z  |t          d          z  z
                                          S Nr  r{  rP  )r  rS   r  r7   r  r   r   r:  rC  r  rI  s       r  
cons_f1277r  K  su    ,q!B%%((#c(1qttAv:2F2FaQRSTQUQUgXY[\]^[_[_X_N_H`H`.a.a*b*bcccr  c           
          t          t          t          d          |z            t          | t          d          z  |t          d          z  z
                      S rO  r  r   r  r   )r:  rC  rI  s      r  
cons_f1278r  P  E    (1Q446""HQ!Wq!A$$w->$?$?@@@r  c                 b    t          t          d          | z  |z   t          d                    S ry  rd  r  s     r  
cons_f1279r  U  s&    AaDDFQJ!---r  c                 F    t          | |z   t          d          z             S r  rQ  r  s     r  
cons_f1280r  Z  r  r  c                 :    t          t          |                     S r7  r7   r   rm  s    r  
cons_f1281r  _  r  r  c                 F    t          | |z   t          d          z             S r  r  r  s     r  
cons_f1282r  d  r  r  c                 f    t          t          d          | z  |z   t          d          z             S rz  r  r  s     r  
cons_f1283r  i  )    !Q
QqTT)***r  c                 f    t          t          d          | z  |z   t          d          z             S ru  rQ  r  s     r  
cons_f1284r  n  s)    QqTT!VaZ!B%%'(((r  c                 @    t          | t          d          z             S r  r  r  s    r  
cons_f1285r  s  r  r  c                 l    t          | |t          d          z  z   t          d          dz  z             S ru  r  r  s     r  
cons_f1286r  x  s-    AaddF
QrUU1W 4555r  c                 &    t          | |z             S r7  rI  r  s     r  
cons_f1287r  }  r  r  c                 D    t          |t          d           | z            S rO  r  r  s     r  
cons_f1288r    s    QqTTE!G$$$r  c                 h    t          | t          d          dz  z   t          d          |z            S r  ra  r  s     r  
cons_f1289r    s*    QqTT!VQqTT!V,,,r  c                 b    t          t          d          | z  t          d          |z            S rO  ra  r  s     r  
cons_f1290r    r  r  c                 &   t          t          | t          d                    t          t          d          | z  |z   t          d          z             t	          t          | t          d                    t          |                              S r]  )r  rR   r  r   r  r$   r   r  s     r  
cons_f1291r    sg    '!QrUU##U1Q446A:!+<%=%=s5AbEE??T\]^T_T_?`?`aaar  c                 <    t          | t          d                    S r,  r  r  s    r  
cons_f1292r    r  r  c                 `    t          t          | |z   t          d          z                       S r  r  r  s     r  
cons_f1293r    '    #AEAaDDL11222r  c                     t          t          t          |           t          | t	          d                                        S r  )r7   r  r(   rS   r  rm  s    r  
cons_f1294r    s0    3y||\!QqTT%:%:;;<<<r  c                 <    t          | t          d                    S rO  r~  rm  s    r  
cons_f1295r    r  r  c                     t          t          t          d          | z  t          d          |z            t          |                     S rO  r  r   r  r   r  s     r  
cons_f1296r    6    )AaDDFAaDDF++Xa[[999r  c                 F    t          | |z   t          d          z             S rO  rQ  r  s     r  
cons_f1297r    r  r  c                 F    t          | |z   t          d          z             S rO  r  r  s     r  
cons_f1298r    r  r  c                 `    t          t          | |z   t          d          z                       S r  r7   r   r  r  s     r  
cons_f1299r    r  r  c                 f    t          | t          d          z  t          d          dz  z             S rz  rb  rm  s    r  
cons_f1300r    r  r  c                 "    t          | |          S r7  r,  r  s     r  
cons_f1301r    r  r  c                 B    t          |t          d          | z            S rO  r  r  s     r  
cons_f1302r    s    Q!Qr  c                 B    t          | |t          d          z            S rO  ra  r  s     r  
cons_f1303r    r	  r  c           
          t          t          |t          d                    t          | |t          d          z  z
  t          d                              S r8  r  rQ   r  rR   r  s     r  
cons_f1304r    s>    $q!A$$--QqttVQqTT!:!:;;;r  c                     t          t          t          |           t          | t	          d                                        S rh  r4  r  s    r  
cons_f1305r    rJ  r  c                 F    t          | t          d          dz  z             S r  rb  r  s    r  
cons_f1306r    r4  r  c                 V    t          t          | t          d                              S r  r7   rQ   r  r  s    r  
cons_f1307r        41R55>>"""r  c                 @    t          | t          d          z            S rO  rb  rm  s    r  
cons_f1308r    r	  r  c                 @    t          t          d          | z            S rO  ra  rm  s    r  
cons_f1309r    r  r  c                     t          |t          t          t          t          f          rdS t          t          | ||||||          |          S r^  ru  )r:  rC  r  r  r  r  rI  r?  s           r  
cons_f1310r    r  r  c                 l   t          t          t          |          t          t          t	          | t          d                    t          |t          d                              t	          t          d          ||           t	          | |t          d                                                  S rh  )r7   r  r   r  rQ   r  rR   r  s     r  
cons_f1311r     s    3x{{Bs41Q44=='!QqTT:J:J'K'KTRSTURVRVXY[\M]M]_cdeghjklmjnjn_o_o$p$pqqrrrr  c                 F    t          | t          d          dz  z             S r  r  r  s    r  
cons_f1312r    rd  r  c                 F    t          | t          d          dz  z             S r  r  r  s    r  
cons_f1313r    r  r  c                     t          t          t          | |z             t          t	          d          | z  |z   t	          d          z   t	          d                                        S r  r7   r  r   rR   r  r  s     r  
cons_f1314r    sP    3'A..!Q
QqTT8I1Q440P0PQQRRRr  c           
          t          t          t          |t          d          dz  z             t	          ||                               S r  r7   r  r   r  rQ   r  s     r  
cons_f1315r
    9    3'AbEE!G44d1ajjAABBBr  c                 F    t          | t          d          dz  z             S r  r  r  s    r  
cons_f1316r    rd  r  c                 F    t          | |z   t          d          z             S r  r  r  s     r  
cons_f1317r    r  r  c                     t          t          t          |          t          | |t	          d                                        S r  r4  r  s     r  
cons_f1318r    s2    3y||T!Q"%6%677888r  c                 p    t          t          |           t          t          |                              S r7  )r  rT   r7   r  s     r  
cons_f1319r    s&    )A,,IaLL 1 1222r  c           
          t          |t          t          t          t          f          rdS t          t          | |||||          |          S r^  ru  )rC  rX  r  r  r  r  r?  s          r  
cons_f1320r  $  r6  r  c                 ^    t          | |z  |z  ||z  |t          d          z   z  z             S r  rQ  )r:  rC  rX  r  r  s        r  
cons_f1321r  +  s/    QqSUQqS!add(^+,,,r  c                 B    t          | t          d          dz            S r  ri  r  s    r  
cons_f1322r  0      AquuQwr  c                     t          t          t          |           t          | t	          d          dz                                S r  r4  r  s    r  
cons_f1323r  5  4    3y||T!QrUU1W%5%566777r  c                 f    t          | t          d          z  |t          d          z  z
            S rO  rQ  rD  s     r  
cons_f1324r  :  r  r  c                 f    t          | t          d          z  |t          d          z  z
            S rO  r  rD  s     r  
cons_f1325r!  ?  r  r  c           
         t          t          t          d          |z  t          d          |z            t          |t          d          dz  z             t	          t          |          t          |                               S rz  )r  r   r  r   r  r   rr  s      r  
cons_f1326r#  D  sc    )AaDDFAaDDF++Xa!A$$q&j-A-A3xPQ{{TYZ[T\T\C]C]^^^r  c                 X    t          t          d          | t          d                    S r  ri  r  s    r  
cons_f1327r%  I  r!  r  c           	          t          t          t          d          |z  t          d          |z            t          t	          |          t          |                               S rO  )r  r   r  r  r   r   rr  s      r  
cons_f1328r'  N  sF    )AaDDFAaDDF++S!eAhh-G-GHHHr  c                     t          t          t          |           t          | t	          d                                        S rh  rx  r  s    r  
cons_f1329r)  S  rz  r  c                 v    t          t          t          d          |z            t          |                     S rO  )r  r   r  r   rX  rF  s     r  
cons_f1330r,  X  s*    (1Q446""E!HH---r  c                 `    t          t          d          | z  t          d          z             S r  r  r  s    r  
cons_f1331r.  ]  r  r  c                 .    t          |  |z  |z             S r7  r8  r$  s      r  
cons_f1332r0  b  r  r  c                 &    t          || z            S r7  r  r  s     r  
cons_f1333r2  g  r  r  c                 @    t          t          || z                      S r7  r  r  s     r  
cons_f1334r4  l  r  r  c                 <    t          | t          d                    S rO  r~  r  s    r  
cons_f1335r6  q  r  r  c           	          t          t          |           t          t          d          | z  t          d          |z                      S rO  rd  r  s     r  
cons_f1336r8  v  rf  r  c                 .   t          t          t          |          t          |t	          d                    t          t          t          |                    t          t          |           t          |                                                  S rO  r7   r  r   rR   r  r  r   r   r  s       r  
cons_f1337r;  {  e    3x{{GAqtt$4$4bXa[[9I9I3uUVxxYabcYdYdKeKe6f6fgghhhr  c                 X    t          t          d          | t          d                    S r  ri  r  s    r  
cons_f1338r>    r!  r  c                    t          t          t          |           t          |          t	          t          |                              t	          t          t          t          d          |z            t          |t          d                    t          t          t          |          t	          t          |                              t          |                                                   S ru  )r  r  r   r   r7   r  rQ   )r:  r  rF  s      r  
cons_f1339r@    s   #eAhhS!-=-=>>CQRSTQUQUVWQWHXHXZ^_`bcdfbgbgZhZhjlmpqyz{q|q|  B  CK  LM  CN  CN  O  O  nP  nP  RW  XY  RZ  RZ  k[  k[  E\  E\  A]  A]  ^  ^  	^r  c                 &    t          | |z             S r7  r  rD  s     r  
cons_f1340rB    r  r  c                 &    t          | |z
            S r7  r  rD  s     r  
cons_f1341rD    r  r  c                 @    t          t          | |z                       S r7  r  rD  s     r  
cons_f1342rF    r  r  c                 f    t          | t          d          z  |t          d          z  z
            S rO  r  rD  s     r  
cons_f1343rH    r  r  c                 ,    t          ||z   | z            S r7  r  r  s      r  
cons_f1344rJ        QUAIr  c                 @    t          | t          d          z            S rO  r  r[  s    r  
cons_f1345rM        AaDD!!!r  c                 ,    t          ||z   | z            S r7  r  r  s      r  
cons_f1346rP    rK  r  c                 2    t          | |z   ||z   z            S r7  r  r  s       r  
cons_f1347rR        QUQUO$$$r  c                 2    t          | |z   ||z   z            S r7  r  r  s       r  
cons_f1348rU    rS  r  c                 f    t          | t          d          z  |t          d          z  z
            S rO  r|  rQ  s     r  
cons_f1349rW    r  r  c                 `    t          | t          d          z  t          d          z             S ru  rQ  r  s    r  
cons_f1350rY    $    Q!Wquu_%%%r  c                 &    t          | |z            S r7  r  r  s     r  
cons_f1351r\    r  r  c                 @    t          | t          d          z            S rO  r  rL  s    r  
cons_f1352r^    rN  r  c           
          t          t          t          |t          d          z  t          d          z             t	          | |z                                S ru  )r7   r  r   r  r   r  s     r  
cons_f1353r`    s@    3uQ!Wquu_--y1~~>>???r  c                 ,    t          | |z   |z            S r7  r  r$  s      r  
cons_f1354rb    rK  r  c                 @    t          | t          d          z            S rO  r  r9  s    r  
cons_f1355rd    rN  r  c                 ,    t          | |z   |z            S r7  r  r$  s      r  
cons_f1356rf    rK  r  c                 2    t          ||z   | |z   z            S r7  r  r  s       r  
cons_f1357rh    rS  r  c                 2    t          ||z   | |z   z            S r7  r  r  s       r  
cons_f1358rj    rS  r  c                 X    t          t          d          | t          d                    S r8  ri  r  s    r  
cons_f1359rl    r!  r  c                 X    t          t          d          | t          d                    S r  ri  r  s    r  
cons_f1360rn    r  r  c                 &    t          | |z             S r7  rI  r  s     r  
cons_f1361rp    r  r  c	                     t          |t          t          t          t          f          rdS t          t          | |||||||          |          S r^  ru  )	r:  rC  rX  r  r  r  r  rF  r?  s	            r  
cons_f1362rr    r  r  c                    t          t          t          |t          d                    t	          | t          d          z  |t          d          z  z
                      t          t          d          ||t          d          z             t          |t          d          z   | t          d          |z  t          d          z                       S )Nr   rP  r  r{  )r  r  rQ   r  r   )r:  rC  rF  rI  s       r  
cons_f1363rt    s    #d1addmmXa1g1Q44.?%@%@AA4!aQRUVWYUZUZQZC[C[]abcfghifjfjbjmnlnpqrsptptuvpvyz{|y}y}p}]~]~r  c                 l   t          t          t          d          | |t          d          z  t          d          dz  z             t          |t          |  t          t          d          |z  t          d          z             t          t          d          t          | t          |                     S )Nr   rP  r{  r  )r  rQ   r  r  rP   r  s     r  
cons_f1364rv    s    $qttQ!A$$1a00*Q	A2tUVWXUYUYZ[U[^_`b^c^cUc2d2dfpqrstququw{}~  AJ  MN  LN  gO  gO  P  P  	Pr  c	                     t          |t          t          t          t          f          rdS t          t          | |||||||          |          S r^  ru  )	r:  rC  r  r  r  r  rF  rI  r?  s	            r  
cons_f1365rx  	  r  r  c                     t          t          t          |          t          |t	          d          z  | t	          d          z                                S rO  r  r  s     r  
cons_f1366rz    s>    3x{{DAaDD!QqTT'$:$:;;<<<r  c                 f    t          t          d          | z  |z   t          d          z             S rz  r  r  s     r  
cons_f1367r|    r  r  c                 $   t          t          t          | |z   |z             t          t	          d          | z  |z   t	          d          |z  t	          d          z  z   t	          d          z   t	          d                                        S )NrP  rR  r{  r   r  r  s      r  
cons_f1368r~    sy    3'A	22GAaDDFQJ1aPQRSPTPT<TWXYZW[W[<[]^_`]a]a4b4bccdddr  c                     t          t          t          ||t          d          z  z   t          d          dz  z             t	          | |z
  t          d                                        S rw  )r7   r  r   r  rR   r  s      r  
cons_f1369r    sU    3'AaddF
QrUU1W(<==wq1uaPQdd?S?STTUUUr  c                 f    t          t          d          | z  |z   t          d          z             S rz  rQ  r  s     r  
cons_f1370r  $  r
  r  c                 L    t          | |z   |z   t          d          z             S r  rQ  r  s      r  
cons_f1371r  )  rC  r  c                 L    t          | |z   |z   t          d          z             S r  r  r  s      r  
cons_f1372r  .  r  r  c                 ,    t          | |z   |z             S r7  rI  r  s      r  
cons_f1373r  3  s    A	"""r  c           
          t          t          t          |          t          t	          d          ||                               S rh  r4  r  s     r  
cons_f1374r  8  s2    3y||T!A$$1%5%566777r  c                 d    t          | |z  |z  ||z  ||z   t          d          z   z  z             S r  rQ  )r:  rC  rX  r  r  rI  s         r  
cons_f1375r  =  s4    QqSUQqS!a%!A$$,//000r  c                 <    t          | t          d                    S r  r~  r  s    r  
cons_f1376r  B  rV  r  c                 l    t          | |t          d          z  z   t          d          dz  z             S rz  r  r  s     r  
cons_f1377r  G  s-    AaddF
QqTT!V 3444r  c                 B    t          | t          d          dz            S r  ri  r  s    r  
cons_f1378r  L  r  r  c           	      v    t          t          d          dz  t          | t          t          d                    S )Nr  rP  r   r&  r  s    r  
cons_f1379r  Q  s(    !B%%'9aqtt<<<r  c                     t          t          t          |           t          | t	          d                              t          | |z                       S r  r*  r  s     r  
cons_f1380r  V  s=    #illDAbEENN335Ea!e5L5LMMMr  c                     t          t          t          |           t          | t	          d                                        S r  r4  rm  s    r  
cons_f1381r  [  r6  r  c                 b    t          t          d          | z  |z   t          d                    S ry  r  r  s     r  
cons_f1382r  `  s&    QqTT!VaZ1&&&r  c                 D    t          | ||t          d          z            S rO  ra  r  s      r  
cons_f1383r  e  s    Aq1v&&&r  c                    t          t          t          | t          d                    t          |t          d                    t	          |  |z
  |t          d                              t          t          | t          d                    t	          |t          d                    t          | |t          d          z  z   t          d                                        S )Nr   r  rP  r  r  s      r  
cons_f1384r  j  s   #ga1&&1Q44(8(8$rAvq!B%%:P:PQQSVW^_`bcdebfbfWgWgimnoqrstququivivx  AB  EF  GH  IJ  GK  GK  EK  AK  MN  OP  MQ  MQ  yR  yR  TS  TS  T  T  	Tr  c                 p    t          t          |           t          t          |                              S r7  )r  r   r7   r   r  s     r  
cons_f1385r  o  s,    "1%%s+;A+>+>'?'?@@@r  c                 ,   t          t          t          d          | z  |z   t          d                    t          t	          t          d          | z  |z   t          d                    t          |t          d                                        S )NrP  r   r  )r  r$   r  r  rR   rQ   r  s     r  
cons_f1386r  t  sj    %!Q
AaDD))3wqttAvz1Q44/H/H$qRSTVRWRW..+Y+YZZZr  c                 B    t          | t          d          dz            S r  r  r  s    r  
cons_f1387r  y  s    AbEE!G$$$r  c                 F    t          | |z   t          d          z             S rO  r  r  s     r  
cons_f1388r  ~  r  r  c                 V    t          t          |          t          |                     S r7  )r  r   r   r  s     r  
cons_f1389r    s!    (1++/22333r  c                 L    t          | |z   t          d          dz  z             S r  rQ  r  s     r  
cons_f1390r    "    QUQqTT!V^$$$r  c                 L    t          | |z   t          d          dz  z             S rQ  rQ  r  s     r  
cons_f1391r    r  r  c           	          t          t          |           t          t          d          | z  t          d          |z                      S rO  )r  r   r   r  r  s     r  
cons_f1392r    s9    "1%%y1a1a'@'@AAAr  c                 V    t          t          | t          d                              S r  r  r  s    r  
cons_f1393r    r  r  c           	          t          t          | t          d                    t          | |z   t          d          z                       S Nr  r  r^  r  s     r  
cons_f1394r    6    $q!B%%..%A!"5"5666r  c                 F    t          | |z   t          d          z             S r  r  r  s     r  
cons_f1395r    r  r  c           	          t          t          |t          d                    t          | |z   t          d          z                       S r  r^  r  s     r  
cons_f1396r    r  r  c                 @    t          | t          d          z             S rO  r  r  s    r  
cons_f1397r    r  r  c                 F    t          | |z   t          d          z             S )Nrq  r  r  s     r  
cons_f1398r    r  r  c                 F    t          | |z   t          d          z             S )Nr{  r  r  s     r  
cons_f1399r    r  r  c                 d    t          | t          d          |z  |t          d          z            S rO  ra  r  s      r  
cons_f1400r    s(    AaDDFAaddF+++r  c                     t          t          | t          d                    t          t	          | t          d                    t          |t          d                                        S r  )r  rQ   r  r  r$   rR   r  s     r  
cons_f1401r    sH    $q!B%%..#eAquuoowq!A$$7G7G"H"HIIIr  c           	          t          t          | t          d                    t          |t          d          dz  z                       S )Nr   r{  rP  )r  rQ   r  r   r  s     r  
cons_f1402r    s7    $q!A$$--!1!add1f*!=!=>>>r  c                 b    t          t          d          | z  t          d          |z            S rO  ra  r  s     r  
cons_f1403r    r  r  c                     t          t          | t          d                    t          t	          | t          d          dz            t	          |t          d          dz                                S )Nr  r  rP  rR  r  rP   r  r  r$   r  s     r  
cons_f1404r    sT    )Aquu%%s5AbEE!G+<+<eAqttAv>N>N'O'OPPPr  c                     t          t          | t          d                    t          t	          |t          d          dz            t	          | t          d          dz                                S Nr  rR  rP  r  rQ   r  r  r$   r  s     r  
cons_f1405r    R    $q!B%%..#eAqttAv&6&6a2q8I8I"J"JKKKr  c                 X    t          t          d          | t          d                    S rL  ri  rm  s    r  
cons_f1406r    r  r  c                 r    t          t          | t          d                    t          |                    S rh  )r  rR   r  r   r  s     r  
cons_f1407r    s(    '!QqTT""HQKK000r  c                 d    t          | t          d          |z  t          d          |z            S rO  ra  r  s      r  
cons_f1408r    s(    AaDDFAaDDF+++r  c                 $   t          t          |t          d                    t          t	          | t          d                    t	          |t          d          dz            t	          |t          d          dz                                S )Nr  r  r  rP  rR  r  r  s      r  
cons_f1409r    sk    )Aquu%%s5AbEE??E!QrUU1W<M<MuUVXYZ[X\X\]^X^O_O_'`'`aaar  c                 @    t          | t          d          z            S rO  r  rm  s    r  
cons_f1410r    r  r  c           
          t          t          | t          d          z  |t          d          z  z
            t          |t          d          z  |t          d          z  z
                      S rO  r  r  s       r  
cons_f1411r    sT    %1Q44!QqTT')**E!QqTT'AqttG2C,D,DEEEr  c                 (    t          |  |z             S r7  r8  rD  s     r  
cons_f1412r    r	  r  c                 h    t          | t          d          z   |t          d          z  z             S rO  r  rQ  s     r  
cons_f1413r    s+    !QqTT'AqttG+,,,r  c                 2    t          | |z  ||z  z             S r7  rI  r  s       r  
cons_f1414r     r  r  c           
          t          t          | t          d          z  |t          d          z  z
            t          |t          d          z  |t          d          z  z
                      S rO  r  r  s       r  
cons_f1415r    sT    (1add7Q!W,--x1Q44!QqTT'8I/J/JKKKr  c                 F    t          t          d          | z  |z             S rO  rQ  r  s     r  
cons_f1416r  
  s    QqTT!VaZ   r  c                 x    t          t          | |          t          | |          t          ||                    S r7  )r  r   r  s      r  
cons_f1417r    s,    )Aq//9Q??IaOODDDr  c                 @    t          | t          d          z             S r,  r  rm  s    r  
cons_f1418r    r  r  c                 p    t          t          t          |           t          |                              S r7  r  r  s     r  
cons_f1419r    s&    3x{{HQKK00111r  c                 2    t          | |z  ||z  z             S r7  r8  r
  s       r  
cons_f1420r    r  r  c                 j    t          | |z  ||z   t          d          z   z  ||z  ||z
  z  z             S r  rQ  r  r  r:  rC  r  rF  s         r  
cons_f1421r  #  s8    QqS!a%!A$$,'!A#q1u+5666r  c                     t          t          t          |           t          | t	          d          dz                      t          t          | |z             t          t          |t	          d                                                  S r0
  )r  r  r(   rQ   r  r   r7   r   r  s     r  
cons_f1422r  (  sm    #illDAbEE!G$4$455s;KAPQE;R;RTWXcdeghijgkgkXlXlTmTm7n7nooor  c                 `    t          t          d          | z  t          d          z             S rz  r  r  s    r  
cons_f1423r  -  r  r  c           
          t          | ||z  |z  ||z  |t          d          z   z  z   z  |||z  |z  ||z  |t          d          z   z  z   z  z
            S r  rQ  )r  r  r:  rC  rX  r  r  rF  s           r  
cons_f1424r  2  s]    Q!A!Q1X./!QqSUQqS!add(^5K2LLMMMr  c                 B    t          | t          d          dz            S r  r~  r  s    r  
cons_f1425r  7  r9  r  c           	          t          | |z  |z  t          d          |z  t          d          z   z  |t          d           |z  |z  |t          d          z   z  ||z  z   z  z
            S r.  rQ  )r  r  r:  rC  rX  r  rF  s          r  
cons_f1426r  <  sc    QqSUAaDDFQqTTM*Q1a	1qtt80Dqs0J-KKLLLr  c           	      |    t          t          |          t          | t          d          dz  z                       S r  r+	  r  s     r  
cons_f1427r  A  s.    (1++uQ1aZ00111r  c                 2    t          | |z  ||z  z             S r7  rI  r
  s       r  
cons_f1428r  F  r  r  c                 .   t          t          t          |          t          |t	          d                    t          t          t          |                    t          t          |           t          |                                                  S r  r:  r  s       r  
cons_f1429r   K  r<  r  c                 &    t          | |z
            S r7  r8  r  r  s     r  
cons_f1430r  P  r  r  c                 &    t          | |z
            S r7  rI  r  s     r  
cons_f1431r  U  r  r  c                 b    t          | t          d          z  t          d          dz            S r  r  r  s    r  
cons_f1432r  Z  r  r  c           
          t          |t          t          t          t          f          rdS t          t          |||| ||          |          S r^  ru  )r  r  rC  r  r  r  r?  s          r  
cons_f1433r	  _  r6  r  c                 r    t          | |t          d          z   z  ||t          d          z   z  z             S rz  rQ  r  r  r  s      r  
cons_f1434r  f  1    QAaDD\Aq1Q44xL0111r  c                 r    t          | |t          d          z  z  ||t          d          z  z  z             S rO  rQ  r  s       r  
cons_f1435r  k  rK  r  c                 ,    t          | |z
  |z             S r7  r8  r
  s      r  
cons_f1436r  p  r
  r  c                 &    t          | |z             S r7  r8  r  r  s     r  
cons_f1437r  u  r  r  c                 J   t          t          t          |           t          | t	          d          dz                      t          t          | |z   t	          d          z             t          t	          d          | z  t	          d          z                                 S r0
  )r  r  r(   rQ   r  r   r   r  s     r  
cons_f1438r  z  s~    #illDAbEE!G$4$455s5Q1;N;NPXYZ[\Y]Y]^_Y_bcdebfbfYfPgPg7h7hiiir  c                     t          t          t          |          t          |t	          d                              t          | |z   t	          d          z                       S r  r  r  r(   rQ   r  r   r  s     r  
cons_f1439r    sF    #illDAbEENN33U1q51Q44<5H5HIIIr  c                 .   t          t          t          |          t          |t	          d                    t          t          t          |                    t          t          |           t          |                                                  S rh  r:  r  s       r  
cons_f1440r    r<  r  c                 f    t          | t          d          z  |t          d          z  z             S rO  rQ  rQ  s     r  
cons_f1441r    r  r  c                 f    t          | t          d          z  |t          d          z  z             S rO  r  rQ  s     r  
cons_f1442r    r  r  c                 :    t          t          |                     S r7  r7   r   r  s    r  
cons_f1443r"        477||r  c                 <    t          | t          d                    S r,  r  r  s    r  
cons_f1444r%    rV  r  c                     t          t          t          |           t          t	          | t          d                    t          | t          d                                                  S r(  )r7   r  r(   r  rS   r  rP   r  s    r  
cons_f1445r'    sJ    3y||RQ!(=(=yAbEE?R?R%S%STTUUUr  c                 f    t          | t          d          z  |t          d          z  z             S rO  r  rQ  s     r  
cons_f1446r)    r  r  c                     t          t          t          | t          d          z  |t          d          z  z             t	          | t          d          z  |t          d          z  z                                 S rO  )r7   r  r   r  r   rQ  s     r  
cons_f1447r+    s\    2i1Q44!QqTT' 122E!QqTT'AqttG:K4L4LMMNNNr  c                 f    t          | t          d          z  |t          d          z  z             S rO  rb  r  s     r  
cons_f1448r-    s(    !A$$1Q44(((r  c                     t          t          t          |t          d                    t          | t          d                                        S r  )r7   r  rR   r  r  s     r  
cons_f1449r/    s:    3wq!A$$''AaDD)9)9::;;;r  c                     t          | t          d          z  |t          d          z  z
  |t          d          z  z
            S rO  rQ  r  s      r  
cons_f1450r1    s8    Q!Wq!A$$w&AaDD0111r  c                 f    t          | t          d          z  |t          d          z  z             S rO  rQ  rC  rX  s     r  
cons_f1451r4    r  r  c                 f    t          | t          d          z  |t          d          z  z             S rO  r  r3  s     r  
cons_f1452r6    r  r  c           
          t          | t          |t          d          z  |t          d          z  z             z             S rO  )r   r  r  r  s      r  
cons_f1453r8    s6    T!QqTT'AqttG"3444555r  c                     t          | t          d          z  |t          d          z  z
  |t          d          z  z
            S rO  r  r  s      r  
cons_f1454r:    s8    1Q44!QqTT')AqttG3444r  c                     t          t          | t          |t          d          z  |t          d          z  z             z                       S rO  )r7   r   r  r  r  s      r  
cons_f1455r<    s>    9Qa1g1Q44&7!8!8899:::r  c                 &    t          | |z             S r7  r8  rQ  s     r  
cons_f1456r>    r  r  c                 &    t          | |z
            S r7  r8  rY  s     r  
cons_f1457r@    r  r  c                 &    t          | |z
            S r7  rI  rQ  s     r  
cons_f1458rB    r  r  c                 B    t          | t          d          dz            S r  r  r  s    r  
cons_f1459rD    r   r  c                     t          | |t          d          z  |t          d          z  z   z  |||z  ||z  z   z  z
            S rO  rQ  r  r  r  r:  rC  rX  s         r  
cons_f1460rG    sC    Q1Q44!QqTT')*Q!ac	]:;;;r  c                 ~    t          | |t          d          z  |t          d          z  z   z  ||z  |z  z
            S rO  rQ  r  r  r:  rC  rX  s        r  
cons_f1461rJ    ;    Q1Q44!QqTT')*QqSU2333r  c                 ~    t          | |t          d          z  |t          d          z  z   z  ||z  |z  z
            S rO  rQ  r  r  r:  rC  rX  s        r  
cons_f1462rN    rK  r  c                     t          | |t          d          z  |t          d          z  z   z  |||z  ||z  z   z  z
            S rO  r  rF  s         r  
cons_f1463rP    sC    1add7Q!W,-1Q319=>>>r  c                 ~    t          | |t          d          z  |t          d          z  z   z  ||z  |z  z
            S rO  r  rI  s        r  
cons_f1464rR    ;    1add7Q!W,-!A5666r  c                 ~    t          | |t          d          z  |t          d          z  z   z  ||z  |z  z
            S rO  r  rM  s        r  
cons_f1465rU    rS  r  c                 j    t          | |z  |t          d          z   z  |||z  ||z  z   z  z             S r  rQ  r  r  r  r:  rC  rX  rF  s          r  
cons_f1466rX    s7    QqS!add(^a1qsm3444r  c                 ^    t          | |z  |t          d          z   z  ||z  |z  z             S r  rQ  r  r  r:  rX  rF  s        r  
cons_f1467r[    /    QqS!add(^ac!e+,,,r  c                 ^    t          | |z  |t          d          z   z  ||z  |z  z             S r  rQ  r  r  r:  rC  rF  s        r  
cons_f1468r_    r\  r  c                 j    t          | |z  |t          d          z   z  |||z  ||z  z   z  z             S r  r  rW  s          r  
cons_f1469ra    s7    !Q1XAaC!A#I6777r  c                 ^    t          | |z  |t          d          z   z  ||z  |z  z             S r  r  rZ  s        r  
cons_f1470rc    /    !Q1X1Q.///r  c                 ^    t          | |z  |t          d          z   z  ||z  |z  z             S r  r  r^  s        r  
cons_f1471rf    rd  r  c                 2    t          | |z  ||z  z             S r7  r8  r  r  rC  rX  s       r  
cons_f1472ri  $  r  r  c                 2    t          | |z  ||z  z
            S r7  r8  rh  s       r  
cons_f1473rk  )  r  r  c                 >    t          | |z  ||z  z
  ||z  z
            S r7  r8  rF  s         r  
cons_f1474rm  .  $    QqS1Q3Y1_%%%r  c                 2    t          | |z  ||z  z
            S r7  r8  r  r  r:  rX  s       r  
cons_f1475rq  3  r  r  c                 2    t          | |z  ||z  z
            S r7  r8  r
  s       r  
cons_f1476rs  8  r  r  c                 >    t          | |z  ||z  z
  ||z  z
            S r7  rI  rF  s         r  
cons_f1477ru  =  $    !ac	AaC(((r  c                 2    t          | |z  ||z  z
            S r7  rI  rp  s       r  
cons_f1478rx  B  r  r  c                 2    t          | |z  ||z  z
            S r7  rI  r
  s       r  
cons_f1479rz  G  r  r  c                 &    t          | |z             S r7  rI  rQ  s     r  
cons_f1480r|  L  r  r  c                      t          |           S r7  r   r  s    r  
cons_f1481r  Q  r<  r  c                      t          |           S r7  r~  r  s    r  
cons_f1482r  V  r<  r  c                      t          |           S r7  r   r  s    r  
cons_f1483r  [  r  r  c                      t          |           S r7  r  r  s    r  
cons_f1484r  `  r  r  c                 :    t          t          |                     S r7  r!  r  s    r  
cons_f1485r  e  r#  r  c                      t          |           S r7  r~  rm  s    r  
cons_f1486r  j  r<  r  c                      t          |           S r7  r~  r  s    r  
cons_f1487r  o  r<  r  c                 V    t          t          d          t          | t          |          S rh  r;  r  s     r  
cons_f1488r  t  r	  r  c                 >    t          t          d          ||           S rh  ri  r  s     r  
cons_f1489r  y  rk  r  c           	          t          |t          t          t          t          f          rdS t          t          | ||||          |          S r^  ru  )rX  r  r  r  r  r?  s         r  
cons_f1490r  ~  ru  r  c                     t          t          t          |                     t          t	          d          t
          | t          t	          d                              S rL  )r  r7   r(   r  r  rP   rQ   r  s    r  
cons_f1491r    s<    #ill##Z"y!T1Q44%P%PQQQr  c                     t          t          |t          d                    t          |          t	          | t          d          z  |t          d          z  z
                      S r  r  r$   r  r   r   r  s       r  
cons_f1492r    L    %1Q44.."21"5"5x1Q44!QqTT'@Q7R7RSSSr  c                 r    t          t          |t          d                    t          |                     S rh  r  rR   r  r   r  s     r  
cons_f1493r    +    '!QqTT""$4Q$7$7888r  c                 &    t          | |z
            S r7  r8  rQ  s     r  
cons_f1494r    r  r  c                 @    t          | t          d          z             S rO  r  r  s    r  
cons_f1495r    r  r  c           	          t          t          | t          d                    t          |t          d                              S ru  r;  r  s     r  
cons_f1496r    s.    %1Q44..%1R55//222r  c           
          t          |t          t          t          t          f          rdS t          t          | |||||          |          S r^  ru  )r:  rC  rX  r  rF  rI  r?  s          r  
cons_f1497r    r6  r  c           	          t          t          | |z
  t          d          z   t          d                    t          |t          d                              S )Nr{  r   rP  r  r  s     r  
cons_f1498r    s@    '!a%!A$$,!--wq!A$$/?/?@@@r  c	                     t          |t          t          t          t          f          rdS t          t          | |||||||          |          S r^  ru  )	r:  rC  rX  r  r  r  rF  rI  r?  s	            r  
cons_f1499r    r  r  c                     t          |t          t          t          t          f          rdS t          t          | ||          |          S r^  ru  )rX  r  rF  r?  s       r  
cons_f1500r    rx  r  c                     t          |t          t          t          t          f          rdS t          t          | |          |          S r^  ru  )r  rF  r?  s      r  
cons_f1501r    r<  r  c                 f    t          | |t          d          z  z
  t          d          z             S rz  rQ  r  s     r  
cons_f1502r    s)    Q1Q44Z!A$$&'''r  c                 ^    t          t          d          || t          d          z             S r  ri  r  s     r  
cons_f1503r    s$    AaDD!Q1X&&&r  c                 @    t          | t          d          z             S r  r  r  s    r  
cons_f1504r    r  r  c                 ~    t          t          d          t          d          |z  | t          d          z             S Nr   rP  r{  ri  r  s     r  
cons_f1505r    s.    AaDD!A$$q&!add(+++r  c                 ~    t          t          d          t          d          |z  t          d          | z
            S r  ri  r  s     r  
cons_f1506r    s.    AaDD!A$$q&!A$$(+++r  c                 <    t          | t          d                    S r,  r  rm  s    r  
cons_f1507r    rV  r  c           	          t          |t          t          t          t          f          rdS t          t          | ||||          |          S r^  ru  )rX  r  r  r  rF  r?  s         r  
cons_f1508r    ru  r  c           
          t          |t          t          t          t          f          rdS t          t          | |||||          |          S r^  ru  )r:  rC  rX  r  r  r  r?  s          r  
cons_f1509r    r6  r  c                 F    t          | |z   t          d          z             S r  rQ  r  s     r  
cons_f1510r    r  r  c           	          t          | || t          d          z  |t          d          z  z   t          d          dz  z             S ru  ra  r  s     r  
cons_f1511r    s;    Aq1v!A$$2q8999r  c                 <    t          | t          d                    S r,  r  r  s    r  
cons_f1512r    rV  r  c                    t          t          t          |           t          | t	          d                    t          t          | t	          d          z  t	          d          dz  z                                           S r  )r7   r  r(   rR   r  r   r  s    r  
cons_f1513r    s\    3y||WQ!%5%5s8AaddFQrUUSTWDT;U;U7V7VWWXXXr  c                 f    t          | t          d          z  t          d          dz  z             S rz  rb  r  s    r  
cons_f1514r     r  r  c                 |    t          t          t          d          | z  t          d          |z                      S rO  r	  r  s     r  
cons_f1515r  	   s.    9QqTT!VQqTT!V,,---r  c                     t          t          t          | t          d          z            t	          t          d          | |t          d          z                                 S r  rx  r  s     r  
cons_f1516r     sH    3x!A$$''addAq1Q44x)@)@AABBBr  c                 @    t          | t          d          z            S rO  rb  r  s    r  
cons_f1517r     r	  r  c                     t          t          t          |t          d          z  t          d          dz  z             t	          t          d          || t          d          z                                 S rw  rx  r  s     r  
cons_f1518r     sW    3x!A$$2q 0114!aQrUU3K3KLLMMMr  c                     t          t          | t          d                    t          t	          | t          d                    t	          |t          d          dz                                S )Nr{  r  rP  )r  rR   r  r  r$   r  s     r  
cons_f1519r     sN    '!QqTT""Ca1a2q8I8I$J$JKKKr  c                     t          t          | t          d                    t          t	          | t          d                    t	          |t          d          dz                                S r  r  r  s     r  
cons_f1520r  "   sL    $q!B%%..#eAquuoouQ!Q7G7G"H"HIIIr  c                 F    t          | |z   t          d          z             S r  r  r  s     r  
cons_f1521r  '   r  r  c                    t          t          | t          d                    t          t	          | t          d                    t          |          t	          |t          d          dz                                S r  )r  rQ   r  r  r$   r(   r  s     r  
cons_f1522r  ,   sV    $q!B%%..#eAquuooy||U1aPReeTUgEVEV"W"WXXXr  c                    t          t          | t          d                    t          t	          | t          d                    t          |          t	          |t          d          dz                                S r  )r  rR   r  r  r$   r(   r  s     r  
cons_f1523r  1   sX    '!QqTT""Ca1	!eAqQRttTUvFVFV$W$WXXXr  c                     t          |t          t          t          t          f          rdS t          t          | ||          |          S r^  ru  )rC  r  r  r?  s       r  
cons_f1524r  6   rx  r  c                     t          t          | t          d          z  t          d          dz  z                       S ru  r\  r  s    r  
cons_f1525r  =   rD  r  c                 Z    t          t          | t          d          z                      S rO  r\  r  s    r  
cons_f1526r  B   "    8AaddF##$$$r  c                 L    t          | |z  |z   t          d          z             S r  r  r  s      r  
cons_f1527r  G   s"    !a!B%%(((r  c                 h    t          t          d          | z  |z  t          d          |z            S rO  ra  r  s      r  
cons_f1528r  L   s*    1a1Q446***r  c                 L    t          | |z  |z   t          d          z             S r  r  r  s      r  
cons_f1529r  Q   r  r  c           
          t          t          t          d          |z            t          | t          d          z  |t          d          z  z                       S rO  r  )r:  rC  r  s      r  
cons_f1530r  V   r  r  c                 F    t          | t          d          z  |z             S rO  rQ  r  s     r  
cons_f1531r  [   s    QqttVaZ   r  c                 f    t          | t          d          z  |z   t          d          z             S ru  rQ  r  s     r  
cons_f1532r  `   s)    QqttVaZ!B%%'(((r  c                 f    t          | t          d          z  |z   t          d          z             S ru  r  r  s     r  
cons_f1533r  e   s)    !A$$
QrUU 2333r  c                 6   t          t          t          |t          d          z            t	          | t          d          dz  z                       t          t          |t          d                    t          | t          d                              t          t          | t          d                    t          | |z   t          d                              t          t	          |           t          | t          d          z  |z   t          d          z   t          d                    t          |                    t          t          |t          d          dz            t          | t          d          dz                                S NrP  r  r   rR  )
r  r  r   r  r   r$   rQ   rP   rR   r   r  s     r  
cons_f1534r  j   s   #&q1v..0@QrUU1W0M0MNNPSTYZ[]^_`]a]aTbTbdhijlmnolplpdqdqPrPrtw  yB  CD  FG  HJ  FK  FK  yL  yL  NU  VW  Z[  V[  ]^  _`  ]a  ]a  Nb  Nb  uc  uc  eh  iy  z{  i|  i|  ~B  CD  EF  GH  EI  EI  CI  LM  CM  PQ  RT  PU  PU  CU  WX  YZ  W[  W[  ~\  ~\  ^f  gh  ^i  ^i  ej  ej  lo  pu  vw  yz  {|  y}  y}  ~  y  p@  p@  BG  HI  KL  MO  KP  KP  QR  KR  BS  BS  lT  lT  U  U  	Ur  c                    t          t          t          |t          d          z            t	          | t          d          dz  z                       t          t          |t          d                    t          | t          d                              t          t          | t          d                    t          | |z   t          d                              t          t	          |           t          | t          d          z  |z   t          d          z   t          d                              t          t          |t          d          dz            t          | t          d          dz                                S r  )	r  r  r   r  r   r$   rQ   rP   rR   r  s     r  
cons_f1535r  o   ss   #&q1v..0@QrUU1W0M0MNNPSTYZ[]^_`]a]aTbTbdhijlmnolplpdqdqPrPrtw  yB  CD  FG  HJ  FK  FK  yL  yL  NU  VW  Z[  V[  ]^  _`  ]a  ]a  Nb  Nb  uc  uc  eh  iy  z{  i|  i|  ~B  CD  EF  GH  EI  EI  CI  LM  CM  PQ  RT  PU  PU  CU  WX  YZ  W[  W[  ~\  ~\  e]  e]  _b  ch  ij  lm  no  lp  lp  qr  lr  cs  cs  uz  {|  ~  @B  ~C  ~C  DE  ~E  uF  uF  _G  _G  H  H  	Hr  c                    t          t          t          |t          d          z            t	          | t          d          dz  z                       t          |t          d                    t	          | |z             t          t          || t          d          dz  z             t          t          d          | z  |z   t          d          z   t          d                                        S )NrP  r  r  r{  r   )r  r  r   r  r   r$   r   rR   r  s     r  
cons_f1536r  t   sh   #&q1v..0@QrUU1W0M0MNNPUVWYZ[]Y^Y^P_P_aqrsvwrwaxaxz}  H  IJ  LM  PQ  RS  PT  PT  UV  PV  LV  W  W  Y`  ab  cd  ae  ae  fg  ag  jk  ak  no  pq  nr  nr  ar  tu  vw  tx  tx  Yy  Yy  {z  {z  {  {  	{r  c                 @    t          t          | |z                       S r7  r  r  s     r  
cons_f1537r  y   s    #AE**+++r  c                 F    t          | t          d          |z  z             S rO  r  r  s     r  
cons_f1538r  ~   rd  r  c                 F    t          | |z   t          d          z             S r  r  r  s     r  
cons_f1539r     s    A"...r  c                 &    t          | |z             S r7  r1  r  s     r  
cons_f1540r     r  r  c                 @    t          | t          d          z             S r  r  r  s    r  
cons_f1541r     s    AbEE	***r  c                 2   t          t          t          | t          d                    t	          |t          d                              t          t          | t          d                    t          |t          d                                        S )Nrq  r  r  )r  r  rQ   r  rR   r$   r  s     r  
cons_f1542r     se    #d1addmmWQ"%6%677U1add^^USTVWXZV[V[__9]9]^^^r  c                     t          t          t          |          t          |t	          d                    t          t          | t	          d                    t          ||                                         S rh  )r7   r  r   rR   r  r  rQ   r  s     r  
cons_f1543r     sS    3x{{GAqtt$4$4ba1QPQ

6S6STTUUUr  c                 2    t          | |z  ||z  z             S r7  r8  r  s       r  
cons_f1544r     r  r  c                 2    t          | |z  ||z  z             S r7  rI  r  s       r  
cons_f1545r     r  r  c                 f    t          | t          d          z  |t          d          z  z             S rO  rQ  rD  s     r  
cons_f1546r	     r  r  c                 f    t          | t          d          z  |t          d          z  z             S rO  r  rD  s     r  
cons_f1547r     r  r  c           	          t          t          d          | z  |z  |z  ||t          d          z  |t          d          z  z
  z  z
            S rO  rQ  r  s       r  
cons_f1548r     sE    QqTT!VAXaZ!Q!Wq!A$$w%6"77888r  c           	          t          t          d          | z  |z  |z  ||t          d          z  |t          d          z  z
  z  z
            S rO  r  r  s       r  
cons_f1549r     sE    !Qq
Q1Q44!QqTT'(9%::;;;r  c           	          t          t          | t          d          z  |t          d          z  z             t          | |||                    S rO  )r  r   r  r(   r  s       r  
cons_f1550r     sA    .AaDD1add7!233Yq!Q5J5JKKKr  c                     t          t          t          |           t          | t	          d                                        S r  r  r  s    r  
cons_f1551r     r  r  c           
          t          t          t          |t          d          z             t          |                               S r,  r  r:  r  s     r  
cons_f1552r     s2    3uQ2Y''q22333r  c                 B    t          | |z   t          d                    S rh  r  r  s     r  
cons_f1553r     s    QUAaDD!!!r  c                 @    t          t          d          | z            S rO  ra  r  s    r  
cons_f1554r     r  r  c           	          t          t          |          t          t          d          | z  t          d          |z                      S rO  rd  r  s     r  
cons_f1555r     rf  r  c                     t          t          t          |          t          |t	          d                              t          |                     S r  )r  r  r(   rS   r  r   r  s     r  
cons_f1556r     s8    #illLAbEE$:$:;;Xa[[IIIr  c                 .   t          t          t          |          t          |t	          d                    t          t          t          |                    t          t          |          t          |                                                   S rO  r:  r  s       r  
cons_f1557r      r<  r  c                     t          t          t          |          t          |t	          d                              t          |                     S rh  )r  r  r(   rQ   r  r   r  s     r  
cons_f1558r"     s6    #illDAaDDMM22HQKK@@@r  c                 .   t          t          t          |          t          |t	          d                    t          t          t          |                    t          t          |          t          |                                                   S r  )r7   r  r   rQ   r  r  r   r   r  s       r  
cons_f1559r$     sc    3x{{DAbEENNBs8A;;7G7GUSTXXW_`aWbWbIcIc4d4deefffr  c                 f    t          | t          d          z  |t          d          z  z             S rO  rQ  r  s     r  
cons_f1560r&     r  r  c                 f    t          | t          d          z  |t          d          z  z             S rO  r  r  s     r  
cons_f1561r(     r  r  c                 .   t          t          t          |          t          |t	          d                    t          t          t          |                    t          t          |          t          |                                                   S r  r:  r  s       r  
cons_f1562r*     r<  r  c                 &    t          | |z
            S r7  r8  r  s     r  
cons_f1563r,     r  r  c                     t          | |t          d          z  z  ||z  |z  z
  ||t          d          z  z  z             S rO  r  r  s        r  
cons_f1564r.   !  r  r  c                 r    t          | |t          d          z  z  ||t          d          z  z  z             S rO  r  r  s       r  
cons_f1565r0  !  r  r  c                 >    t          | |z  ||z  z
  ||z  z
            S r7  r8  r  s        r  
cons_f1566r2  
!  rn  r  c                 &    t          | |z
            S r7  rI  r  s     r  
cons_f1567r4  !  r  r  c                 >    t          | |z  ||z  z
  ||z  z
            S r7  rI  r  s        r  
cons_f1568r6  !  rv  r  c                     t          t          t          |           t          | t	          d                              t          | |z   t	          d          z                       S r  r  r  s     r  
cons_f1569r8  !  sF    #illDAaDDMM22E!a%!A$$,4G4GHHHr  c                 .   t          t          t          |          t          |t	          d                    t          t          t          |                    t          t          |          t          |                                                   S rh  r:  r  s       r  
cons_f1570r:  !  r<  r  c                     t          t          t          |           t          | t	          d                                        S r  r  r  s    r  
cons_f1571r<  #!  r  r  c                     t          |t          t          t          t          f          rdS t          t          | ||||||          |          S r^  ru  )r:  rC  rX  r  r  rF  rI  r?  s           r  
cons_f1572r>  (!  r  r  c                 "    t          | |          S r7  r1  r  s     r  
cons_f1573r@  /!  rM  r  c                 @    t          | t          d          z             S r  r  r  s    r  
cons_f1574rB  4!  r  r  c                 @    t          t          d          | z            S r  r  r  s    r  
cons_f1575rD  9!  r  r  c                 F    t          | t          d          z   |z            S r  r  r  s     r  
cons_f1576rF  >!  s    QqTT1---r  c                     t          |t          t          t          t          f          rdS t          t          | |||          |          S r^  ru  )rX  r  r  rF  r?  s        r  
cons_f1577rH  C!  r  r  c                     t          |t          t          t          t          f          rdS t          t          | ||||||          |          S r^  ru  )r:  rC  rX  r  r  rF  rI  r?  s           r  
cons_f1578rJ  J!  r  r  c                 B    t          | |z
  t          d                    S rh  rd  r  s     r  
cons_f1579rL  Q!  s    AE1Q44(((r  c                 <    t          | t          d                    S r  r  r  r  s    r  
cons_f1580rO  V!      Q!~~r  c                     t          |t          t          t          t          f          rdS t          t          | |||          |          S r^  ru  )r:  rC  rX  rF  r?  s        r  
cons_f1581rR  [!  r  r  c                     t          |t          t          t          t          f          rdS t          t          | ||||||          |          S r^  ru  )r:  rC  rX  r  r  r  rF  r?  s           r  
cons_f1582rT  b!  r  r  c                 F    t          | |z   t          d          z             S r,  rQ  r  s     r  
cons_f1583rV  i!  r  r  c           	      j    t          | || t          d          z  |t          d          z  z             S rO  ra  r  s     r  
cons_f1584rX  n!  s,    Aq1v!A$$///r  c           
          t          t          t          | t          d          z  t          d          dz  z             t	          t          d          | |                              S r  rx  r  s     r  
cons_f1585rZ  s!  sL    3x!A$$1a00$qttQ2B2BCCDDDr  c           	          t          t          | t          d          z  |t          d          z  t          d          dz  z                       S ru  r  r  s     r  
cons_f1586r\  x!  s>    #AaddFAaddFQrUU1W,<==>>>r  c                 f    t          | t          d          z  t          d          dz  z             S r  rQ  r  s    r  
cons_f1587r^  }!  r  r  c                 <    t          | t          d                    S r  r  r  s    r  
cons_f1588r`  !  r  r  c           
          t          |t          t          t          t          f          rdS t          t          | |||||          |          S r^  ru  )r:  rC  r  r  r  rF  r?  s          r  
cons_f1589rb  !  r6  r  c                 ,    t          | |z  |z            S r7  r  r$  s      r  
cons_f1590rd  !  rK
  r  c                 F    t          t          | |z  |z                      S r7  r  r$  s      r  
cons_f1591rf  !  s     9QqSU##$$$r  c                 B    t          | t          d          dz            S r  ri  r  s    r  
cons_f1592rh  !  r  r  c                     t          t          |t          d                    t          t	          | t          d          dz            t	          |t          d          dz                                S r  r  r  s     r  
cons_f1593rj  !  r  r  c                     t          t          t          d          | z  t          d          |z            t          |                     S rO  r  r  s     r  
cons_f1594rl  !  r  r  c                 ,    t          | |z  |z            S r7  r  r$  s      r  
cons_f1595rn  !  rK
  r  c                 B   t          t          t          |           t          |t	          d                              t          t          | t	          d          dz  z   t	          d          |z            t          |t	          d                                        S r  )r  r  r   rQ   r  r   rP   r  s     r  
cons_f1596rp  !  st    #hqkk41R55>>22C	!add1f*aPQddSTf8U8UW`abdefhdidiWjWj4k4klllr  c                     t          t          t          |          t          |t	          d                    t          t          |                                         S rO  rQ  r  s     r  
cons_f1597rr  !  @    3x{{GAqtt$4$4c(1++6F6FGGHHHr  c                 B   t          t          t          |          t          |t	          d                              t          t          |t	          d          dz  z   t	          d          | z            t          |t	          d                                        S )NrR  r{  rP  )r  r  r   rR   r  r   r  s     r  
cons_f1598ru  !  sz    #hqkk71add#3#344c)A!QJPQRSPTPTUVPV:W:WY`abdefgdhdhYiYi6j6jkkkr  c                 H    t          | t          d          dz  z   |          S r  r  r  s     r  
cons_f1599rw  !  s     AaDDF
A...r  c                 <    t          | t          d                    S r  r~  r  s    r  
cons_f1600ry  !  r  r  c                 @    t          t          d          | z            S rO  ra  r  s    r  
cons_f1601r{  !  r  r  c                     t          t          t          |           t          | t	          d                                        S rO  rQ  r  s    r  
cons_f1602r}  !  rS  r  c                 X    t          t          d          | t          d                    S )Nr   rR  ri  r  s    r  
cons_f1603r  !  r!  r  c                 X    t          t          d          | t          d                    S r  ri  r  s    r  
cons_f1604r  !  r  r  c                 X    t          t          d          | t          d                    S )Nr{  rR  ri  r  s    r  
cons_f1605r  !  r!  r  c                     t          |t          t          t          t          f          rdS t          t          | ||||||          |          S r^  ru  )r:  rC  r  r  r  r  rF  r?  s           r  
cons_f1606r  !  r  r  c           	          t          |t          t          t          t          f          rdS t          t          | ||||          |          S r^  ru  )r:  rC  r  r  r  r?  s         r  
cons_f1607r  !  ru  r  c           	          t          t          | t          d          z  |t          d          z  z
            t          t          d          |z  |                    S rO  )r  r   r  r   r  s       r  
cons_f1608r  !  sG    %1Q44!QqTT')**Iadd1fa,@,@AAAr  c                 F    t          | t          d          dz  z             S r  rb  r  s    r  
cons_f1609r  !  r4  r  c                 F    t          | t          d          dz  z             S r  r  r  s    r  
cons_f1610r  !  r  r  c           	          t          t          | t          d          z            t          | t          d                              S rz  )r  r   r  rP   r  s    r  
cons_f1611r  !  s4    (1QqTT6""Ia1$6$6777r  c                 B    t          | |z   t          d                    S rO  ri  r  s     r  
cons_f1612r   "  s    AE1Q44   r  c                     t          t          t          |          t          | |z
  t	          d                                        S rh  rQ  r  s     r  
cons_f1613r  "  s4    3x{{GAE1Q44$8$899:::r  c                 B    t          | t          d          dz            S r  r~  r  s    r  
cons_f1614r  
"  r9  r  c                     t          t          t          |           t          | t	          d          dz                                S r  r  r  s    r  
cons_f1615r  "  s4    3y||Yq!B%%'%:%:;;<<<r  c           	          t          t          t          d          t          d          t          d                    | |z             S )Nr   r  r  r`   r   r  r  s     r  
cons_f1616r  "  s4    tAaDD!B%%2//Q777r  c                     t          t          t          |t          d          dz  z             t	          |t          d          dz  z   |  |z
                                S r  r	  r  s     r  
cons_f1617r  "  sO    3'AaDDF
33T!add1f*qb1f5M5MNNOOOr  c           
          t          t          t          | t          d          dz  z             t	          | |                              S r  r	  r  s     r  
cons_f1618r  "  r  r  c                 D    t          |  |z   t          d                    S rh  rd  r  s     r  
cons_f1619r  #"  s    QBFAaDD)))r  c                 B    t          | |z  t          d                    S rh  r~  r  s     r  
cons_f1620r  ("  rK  r  c                    t          t          | |t          d          dz  z             t          t          | t          d          dz  z   |t          d          dz  z             t	          | |                              S r  )r  r   r  r  rQ   r  s     r  
cons_f1621r  -"  sr    "1a!B%%'k22C8HQrUUSTWVWZ[\^Z_Z_`aZaVa8b8bdhijlmdndn4o4opppr  c           	          t          t          |t          d          z             t          | t          d          dz  z                       S r  )r  r   r  r   r  s     r  
cons_f1622r  2"  s:    %AbEE	""HQ2q[$9$9:::r  c                 ,    t          | |z   |z             S r7  r8  r  s      r  
cons_f1623r  7"  r
  r  c                 ~    t          t          t          d          t          d                    | |z   |z             S )Nr  r  r  r  s      r  
cons_f1624r  <"  s0    tAbEE1R55))1q519555r  c                 ^    t          | |z  |t          d          z   z  ||z  |z  z             S r  rQ  r  r  r:  rC  r  s        r  
cons_f1625r  A"  r\  r  c                 ^    t          | |z  |t          d          z   z  ||z  |z  z             S r  r  r  s        r  
cons_f1626r  F"  rd  r  c                 f    t          | t          d          z  |t          d          z  z
            S rO  rQ  r  s     r  
cons_f1627r  K"  r  r  c                 f    t          | t          d          z  |t          d          z  z
            S rO  r  r  s     r  
cons_f1628r  P"  r  r  c                 >    t          | |z  |z  ||z  |z  z
            S r7  r8  r  s         r  
cons_f1629r  U"  r@  r  c                     t          | |z  t          d          |z  t          d          z   z  t          d          |z  |z  |z  z             S rz  rQ  r^  s        r  
cons_f1630r  Z"  sD    QqS!A$$q&1Q44-(1Q446!8A:5666r  c                     t          | |z  t          d          |z  t          d          z   z  t          d          |z  |z  |z  z             S rz  r  r^  s        r  
cons_f1631r  _"  sD    !QqTT!Vadd]+add1fQhqj8999r  c                     t          t          t          |          t          |t	          d                    t          t          |                                         S r  rQ  r  s     r  
cons_f1632r  d"  rs  r  c                 b    t          t          | t          d          dz  z   |                    S r  r  r  s     r  
cons_f1633r  i"  s)    #A!QJ22333r  c                     t          t          t          |           t          | t	          d                                        S r  rQ  r  s    r  
cons_f1634r  n"  rS  r  c                 R    t          | |t          d          z   z  ||z  z             S r  rQ  r  s      r  
cons_f1635r  s"  s'    QAaDD\AaC'(((r  c                 R    t          | |t          d          z   z  ||z  z             S r  r  r  s      r  
cons_f1636r  x"  s'    1qtt8qs*+++r  c                     t          |t          t          t          t          f          rdS t          t          |||| |||          |          S r^  ru  )r  r  r  rC  r  r  r  r?  s           r  
cons_f1637r  }"  r  r  c                     t          |t          t          t          t          f          rdS t          t          ||||| ||          |          S r^  ru  )r  r  r  r:  rC  r  r  r?  s           r  
cons_f1638r  "  r  r  c           
          t          |t          t          t          t          f          rdS t          t          ||||| |          |          S r^  ru  )r  r  r:  rC  r  r  r?  s          r  
cons_f1639r  "  r6  r  c                 @    t          t          d          | z            S rO  r  r  s    r  
cons_f1640r  "  r  r  c                     t          t          t          |          t          |t	          d          dz                      t          | |z   t	          d          z                       S r0
  r  r  s     r  
cons_f1641r  "  sL    #illDAbEE!G$4$455uQUQqTT\7J7JKKKr  c                     t          t          t          |           t          | t	          d          dz                                S r  r4  r  s    r  
cons_f1642r  "  r  r  c                     t          |
t          t          t          t          f          rdS t          t          |||||| ||||	
  
        |
          S r^  ru  )r  r  r  r:  rC  r  r  r  r  rF  r?  s              r  
cons_f1643r  "  r  r  c
                     t          |	t          t          t          t          f          rdS t          t          |||||| |||	  	        |	          S r^  ru  )
r  r  r:  rC  r  r  r  r  rF  r?  s
             r  
cons_f1644r  "  r  r  c                     t          |t          t          t          t          f          rdS t          t          | |||          |          S r^  ru  )rC  rX  r  rF  r?  s        r  
cons_f1645r  "  r  r  c                 <    t          | t          d                    S rO  r  r  s    r  
cons_f1646r  "  r  r  c                 @    t          | t          d          z             S r  r  rm  s    r  
cons_f1647r  "  r  r  c                 v    t          |t          t          t          t          f          rdS t          | |          S r^  )r`  ra  r  rb  r  r[  r?  s     r  
cons_f1648r  "  s2    a#wu566 	5"1a(((r  c           	          t          |t          t          t          t          f          rdS t          t          ||| ||          |          S r^  ru  )r  r  r  r:  rC  r?  s         r  
cons_f1649r  "  ru  r  c                 H    t          |  |z   t          d          z             S r  rQ  )rF  r"  s     r  
cons_f1650r  "       aR"Wquu_%%%r  c                 H    t          |  |z   t          d          z             S r,  rQ  r  s     r  
cons_f1651r  "  r  r  c                 v    t          |t          t          t          t          f          rdS t          | |          S r^  )r`  ra  r  rb  r  r\  r?  s     r  
cons_f1652r  "  r  r  c                 v    t          |t          t          t          t          f          rdS t          | |          S r^  )r`  ra  r  rb  r  r]  r?  s     r  
cons_f1653r  "  s2    a#wu566 	5'1---r  c                 v    t          |t          t          t          t          f          rdS t          | |          S r^  )r`  ra  r  rb  r  r^  r?  s     r  
cons_f1654r  "  r
  r  c                 f    t          | t          d          z  |t          d          z  z
            S rO  r  r  s     r  
cons_f1655r  "  r  r  c                 F    t          t          d          || z  z             S r,  rQ  r  s     r  
cons_f1656r  "  s    QrUUQqS[!!!r  c           	          t          t          | t          d                    t          |t          d          dz                      S )NrR  r  rP  )r  rR   r  r$   r  s     r  
cons_f1657r  "  s6    '!QqTT""E!QrUU1W$5$5666r  c           	          t          t          |t          d                    t          | t          d                              S )Nr  rP  r  rQ   r  r$   r  s     r  
cons_f1658r  "  s.    $q!B%%..%1Q44..111r  c                 l    t          | |z   t          d          |z  z   t          d          z             S rO  rQ  r  s      r  
cons_f1659r  #  s-    QUQqTT!V^add*+++r  c                 <    t          | t          d                    S r  r~  r  s    r  
cons_f1660r  #  r  r  c                 F    t          | |z   t          d          z             S r  r  r  s     r  
cons_f1661r  #  r  r  c                 l    t          | |z   t          d          |z  z   t          d          z             S rO  r  r  s      r  
cons_f1662r  #  s-    A!Q1-...r  c           
          t          t          |t          d                    t          | t          d                    t          | t          d                              S )Nr  rP  rR  r  r  s     r  
cons_f1663r  #  s>    $q!B%%..%1Q44..%1Q44..AAAr  c                 L    t          | |z   t          d          |z  z             S rO  r  r  s      r  
cons_f1664r  #  s"    A!Q'''r  c                 h    t          t          |t          d          z              || z  z             S rO  )r   r  r  )rC  r  r  s      r  
cons_f1665r  #  s+    c!add(mm^ac)***r  c                      t          |           S r7  rS  r  s    r  
cons_f1666r  $#  s    !}}r  c                 "    t          | |          S r7  r  )r  r  s     r  
cons_f1667r  )#  s    !Qr  c                 n    t          t          | t                    t          | t                              S r7  )r  r  ri   r  r  s    r  
cons_f1668r  .#  "    %3--q#///r  c                 n    t          t          | t                    t          | t                              S r7  )r  r  rh   r  r  s    r  
cons_f1669r	  3#  r  r  c                 n    t          t          | t                    t          | t                              S r7  )r  r  rk   r  r  s    r  
cons_f1670r  8#  r  r  c                 n    t          t          | t                    t          | t                              S r7  )r  r  rj   r  r  s    r  
cons_f1671r  =#  r  r  c                 n    t          t          | t                    t          | t                              S r7  )r  r  rl   r  r  s    r  
cons_f1672r  B#  r  r  c                 n    t          t          | t                    t          | t                              S r7  )r  r  rm   r  r  s    r  
cons_f1673r  G#  r  r  c                 n    t          t          | t                    t          | t                              S r7  r  r  r  r  r  s    r  
cons_f1674r  L#  r  r  c                 n    t          t          | t                    t          | t                              S r7  r  r  s    r  
cons_f1675r  Q#  r  r  c                 n    t          t          | t                    t          | t                              S r7  r  ri  s    r  
cons_f1676r  V#  r  r  c                 &    t          | |z
            S r7  r8  r3  s     r  
cons_f1677r  [#  r  r  c                 &    t          | |z             S r7  r8  r3  s     r  
cons_f1678r  `#  r  r  c                 :    t          t          |                     S r7  r7   rN  r  s    r  
cons_f1679r!  e#      >!$$%%%r  c                      t          |           S r7  r  rm  s    r  
cons_f1680r$  j#  r  r  c                      t          |           S r7  )r  r  s    r  
cons_f1681r&  o#  s    Qr  c                 :    t          t          |                     S r7  r   r  s    r  
cons_f1682r(  t#  r"  r  c                     t          t          t          |                     t          t          |                              S r7  )r  r7   rN  r{  s     r  
cons_f1683r*  y#  s2    #nQ''((#nQ.?.?*@*@AAAr  c                     t          |t          t          t          t          f          rdS 	 t          t          t          | |                              S # t          t          f$ r Y dS w xY wr^  )
r`  ra  r  rb  r  r7   r   rk  rg  rh  r?  s     r  
cons_f1684r,  ~#  sn    a#wu566 	5	vnQ2233444>* 	 	 	55	s   )A A+*A+c                 <    t          | t          d                    S r  rN  rm  s    r  
cons_f1685r.  #  rP  r  c                 V    t          t          |           t          |                    S r7  )r  r   r   r  s     r  
cons_f1686r0  #  s    %((DGG$$$r  c                 "    t          | |          S r7  )r%   r  s     r  
cons_f1687r2  #  r	  r  c                      t          |           S r7  ra   r  s    r  
cons_f1688r5  #  r<  r  c                      t          |           S r7  r4  r  s    r  
cons_f1689r7  #  r<  r  c                 &    t          | |z
            S r7  r8  r{  s     r  
cons_f1690r9  #  r  r  c                 R    t          t          t          t                    |           S r7  )r`   r   rh   ri   r  s    r  
cons_f1691r;  #      tC~~q)))r  c                 R    t          t          t          t                    |           S r7  )r`   r   rl   rm   r  s    r  
cons_f1692r>  #  r<  r  c                 F    t          | |z  t          d          z             S r  r  r  s     r  
cons_f1693r@  #  s    !aee,,,r  c                     t          |t          d          z  |t          d          z  z  t          |           t          d          z  z  |t          d          z  z             S rO  r   r  r  r  rC  rX  r  s       r  
cons_f1694rD  #  sL    1Q441Q44A!4q!A$$w>???r  c                     t          |t          d          z  |t          d          z  z  t          |           t          d          z  z  |t          d          z  |t          d          z  z  z             S rO  rB  r  rC  rX  r  rF  s        r  
cons_f1695rG  #  Z    1Q441Q44A!4q!A$$wq!A$$wFGGGr  c                     t          |t          d          z  |t          d          z  z  t          |           t          d          z  z  |t          d          z  |t          d          z  z  z             S rO  rB  )r  rC  rX  r  r  s        r  
cons_f1696rJ  #  rH  r  c                    t          |t          d          z  |t          d          z  z  t          |           t          d          z  z  |t          d          z  |t          d          z   t          d          z  z  z             S rO  r   r  r  rF  s        r  
cons_f1697rM  #  sf    Q!WQ!W_SVVQqTT\1AqttGQ1X!<L4LLMMMr  c                    t          |t          d          z  |t          d          z  z  t          |           t          d          z  z  |t          d          z  |t          d          z   t          d          z  z  z             S rO  rB  rF  s        r  
cons_f1698rO  #  sf    1Q441Q44A!4q!A$$wAaDD1Q44?O7OOPPPr  c                    t          |t          d          z  |t          d          z  z  t          |           t          d          z  z  |t          d          z  |t          d          z   t          d          z  z  z             S r  rL  rF  s        r  
cons_f1699rQ  #  sf    Q!WQ!W_SVVQqTT\1AqttGQ2Y1<M4MMNNNr  c                    t          |t          d          z  |t          d          z  z  t          |           t          d          z  z  |t          d          z  |t          d          z   t          d          z  z  z             S r  rB  rF  s        r  
cons_f1700rS  #  sf    1Q441Q44A!4q!A$$wAbEE	AaDD?P7PPQQQr  c                 f    t          | t          d          z  |t          d          z  z
            S rO  rQ  r@  s     r  
cons_f1701rU  #  r  r  c                 &    t          | |z
            S r7  r8  r@  s     r  
cons_f1702rW  #  r  r  c                 f    t          | t          d          z  |t          d          z  z
            S rO  rQ  r  r  s     r  
cons_f1703rZ  #  r  r  c                 4    t          |  |z  ||z  z             S r7  r8  r  r  r  r  s       r  
cons_f1704r]  #  r  r  c                 2    t          | |z  ||z  z             S r7  r8  r\  s       r  
cons_f1705r_  #  r  r  c                 $    t          | ||          S r7  r-  r  s      r  
cons_f1706ra  #  r  r  c                      t          |           S r7  r4  r  s    r  
cons_f1707rc  #  r<  r  c           
          t          |t          t          t          t          f          rdS t          t          | |          t          | |t          d                              S r  	r`  ra  r  rb  r  r  r1   r   r  r?  s     r  
cons_f1708rf  #  L    a#wu566 	5'!Q--q!QqTT!2!2333r  c           
          t          |t          t          t          t          f          rdS t          t          | |          t          | |t          d                              S r  re  rc  s     r  
cons_f1709ri  $  rg  r  c                     t          | t          d          z  |t          d          z  z  |t          d          z   t          d          z  z  t          d          z             S rz  rQ  rC  rF  rI  s      r  
cons_f1710rl  	$  sM    Q!WQ!W_a!A$$h1%55!<===r  c                     t          | t          d          z  |t          d          z  z  |t          d          z  z  t          d          z             S rz  rQ  rk  s      r  
cons_f1711rn  $  sB    Q!WQ!W_Q!W,qtt3444r  c                     t          | t          d          z  |t          d          z  z  t          d          z             S rz  r  rC  rF  s     r  
cons_f1712rq  $  s3    1Q441Q44!A$$.///r  c                     t          | t          d          z  |t          d          z  z  |t          d          z  z  t          d          z             S rz  r  rk  s      r  
cons_f1713rs  $  sB    1Q441Q441Q44/!A$$6777r  c                     t          | t          d          z  |t          d          z  z  |t          d          z   t          d          z  z  t          d          z             S rz  r  rk  s      r  
cons_f1714ru  $  sM    1Q441Q44QqTTAaDD(881Q44?@@@r  c                     t          | t          d          z  |t          d          z  z  |t          d          z   t          d          z  z  |t          d          z   t          d          z  z             S rz  rQ  rC  r  rF  rI  s       r  
cons_f1715rx  "$  \    Q!WQ!W_a!A$$h1%55QqTTAaDD8HHIIIr  c                     t          | t          d          z  |t          d          z  z  |t          d          z  z  |t          d          z   t          d          z  z             S rz  rQ  rw  s       r  
cons_f1716r{  '$  Q    Q!WQ!W_Q!W,AaDD1Q44/??@@@r  c                     t          | t          d          z  |t          d          z  z  |t          d          z   t          d          z  z             S rz  r  rC  r  rF  s      r  
cons_f1717r  ,$  B    1Q441Q441qtt8add*::;;;r  c                     t          | t          d          z  |t          d          z  z  |t          d          z  z  |t          d          z   t          d          z  z             S rz  r  rw  s       r  
cons_f1718r  1$  Q    1Q441Q441Q44/1qtt8add2BBCCCr  c                     t          | t          d          z  |t          d          z  z  |t          d          z   t          d          z  z  |t          d          z   t          d          z  z             S rz  r  rw  s       r  
cons_f1719r  6$  \    1Q441Q44QqTTAaDD(88A!Hqtt;KKLLLr  c                     t          | t          d          z  |t          d          z  z  t          d          z             S rz  rQ  rp  s     r  
cons_f1720r  ;$  s3    Q!WQ!W_qtt+,,,r  c                     t          | t          d          z  |t          d          z  z  |t          d          z   t          d          z  z  t          d          z             S NrP  r  r{  rQ  rk  s      r  
cons_f1721r  @$  sM    Q!WQ!W_a!B%%i!A$$%661=>>>r  c                 <    t          | t          d                    S rO  r  rm  s    r  
cons_f1722r  E$  r  r  c                     t          | t          d          z  |t          d          z  z  |t          d          z   t          d          z  z  t          d          z             S r  r  rk  s      r  
cons_f1723r  J$  sM    1Q441Q44QrUUQqTT(99AaDD@AAAr  c                     t          | t          d          z  |t          d          z  z  |t          d          z   t          d          z  z             S rz  rQ  r~  s      r  
cons_f1724r  O$  B    Q!WQ!W_AaDD1Q44'77888r  c                     t          | t          d          z  |t          d          z  z  |t          d          z   t          d          z  z  |t          d          z   t          d          z  z             S r  rQ  rw  s       r  
cons_f1725r  T$  s\    Q!WQ!W_a!B%%i!A$$%66!add(QqTT9IIJJJr  c                     t          | t          d          z  |t          d          z  z  |t          d          z   t          d          z  z  |t          d          z   t          d          z  z             S r  r  rw  s       r  
cons_f1726r  Y$  \    1Q441Q44QrUUQqTT(99Q1X!<LLMMMr  c                 v    t          |t          t          t          t          f          rdS t          | |          S r^  r5  r?  s     r  
cons_f1727r  ^$  r7  r  c                 @   t          |t          t          t          t          f          rdS t          t          t          | |          t          ||                    t          t          t          | |          |          t          | |z  |                              S r^  )r`  ra  r  rb  r  r  r  r   r   r   rW   r  s      r  
cons_f1728r  e$  s    a#wu566 	5#k!Q''Q):):;;S4PQST::WXAYAY[ghijkhkmn[o[o=p=pqqqr  c                 $    t          | ||          S r7  r-  r  s      r  
cons_f1729r  l$  r  r  c                 &    t          | |z
            S r7  rI  r{  s     r  
cons_f1730r  q$  r  r  c                     t          t          |t          d                    t          t          | t          d                    t          |t          d                                        S )Nr  r{  r  )r  r$   r  r  r  s     r  
cons_f1731r  v$  sF    %1R55//3uQ!~~uQ"#G#GHHHr  c                 &    t          | |z             S r7  rI  rY  s     r  
cons_f1732r  {$  r  r  c                 f    t          | t          d          z  |t          d          z  z
            S rO  r  rQ  s     r  
cons_f1733r  $  )    AqttGa1g%&&&r  c                 f    t          | t          d          z  |t          d          z  z
            S rO  r  rQ  s     r  
cons_f1734r  $  r  r  c                 f    t          | t          d          z  |t          d          z  z
            S rO  rQ  r  s     r  
cons_f1735r  $  r  r  c           	      p    t          t          d          t          | t          t          d                    S r%  r&  r  s    r  
cons_f1736r  $  r(  r  c                 <    t          | t          d                    S r,  ri  r  s    r  
cons_f1737r  $  r  r  c           
          t          |t          t          t          t          f          rdS t          t          | |||||          |          S r^  ru  r  s          r  
cons_f1738r  $  r6  r  c                 L    t          | t          d          z  |z  |z             S rO  rQ  rX  r  r  s      r  
cons_f1739r  $  "    Q!WQY]###r  c                 :    t          t          |                     S r7  r  r  s    r  
cons_f1740r  $  ro  r  c                 @    t          t          d          | z            S rO  r  rm  s    r  
cons_f1741r  $  r  r  c                 V    t          t          |          t          |                     S r7  r  r  rI  s     r  
cons_f1742r  $  r  r  c                 p    t          t          t          |          t          |                               S r7  r  r  s     r  
cons_f1743r  $  r  r  c                 L    t          | t          d          z  |z  |z             S rO  r  r  s      r  
cons_f1744r  $  s"    1Q44	A&&&r  c           	      |    t          t          |           t          | t          d          dz  z                       S r  )r  r   r   r  rm  s    r  
cons_f1745r  $  s2    "1%%'7AaDDF
'C'CDDDr  c                 r    t          t          |t          d                    t          |                     S rh  r  r  s     r  
cons_f1746r  $  r  r  c                     t          | t          d          z  |t          d          z  z  |t          d          z  z
            S rO  rQ  rX  r  r  s      r  
cons_f1747r  $  7    Q!WQ!W_q!A$$w.///r  c                 f    t          | t          d          z  t          d          dz  z             S rz  r  r  s    r  
cons_f1748r  $  (    !A$$1a000r  c           	          t          t          | t          d          z  t          d          dz  z             t          | t          d          z  |z   t          d          dz  z                       S r  )r  r   r  r   r  s     r  
cons_f1749r  $  s_    "1QqTT6AaDDF?335Ea!fqjSTUVSWSWXYSYFY5Z5Z[[[r  c           	      v    t          t          |           t          |t          d          z                       S r  )r  r(   r   r  r  s     r  
cons_f1750r  $  s*    )A,,a!B%%i 0 0111r  c           
          t          t          |           t          |          t          |t          d                              S r  r  r  s      r  
cons_f1751r  $  s.    (1++x{{E!QqTTNN;;;r  c           	      r    t          t          |           t          |t          d                              S r  r  r  s     r  
cons_f1752r  $  s&    (1++uQ!~~...r  c                 <    t          | t          d                    S r
  r~  r  s    r  
cons_f1753r  $  rV  r  c                 <    t          | t          d                    S r  r~  rm  s    r  
cons_f1754r  $  rV  r  c                     t          t          | t          d          z  t          d          dz  z                       S rz  r  r  s    r  
cons_f1755r  $  s1    #AaddFQqTT!VO44555r  c                 X    t          t          d          | t          d                    S )Nr  r   ri  r  s    r  
cons_f1756r  $  r  r  c                    t          t          |t          d                    t          t	          | t          d          z  t          d          dz  z             t          | |z   t          d                                        S )Nr   rP  r  )r  rR   r  r  r   rP   r  s     r  
cons_f1757r  $  si    '!QqTT""C(81Q44!B%%'9I(J(JIVWZ[V[]^_`]a]aLbLb$c$cdddr  c
                     t          |	t          t          t          t          f          rdS t          t          | ||||||||	  	        |	          S r^  ru  )
r:  rC  rX  r  r  r  r  rF  rI  r?  s
             r  
cons_f1758r  $  r  r  c                 b    t          | |z   t          d          z   t          d                    S r  ri  r  s     r  
cons_f1759r  %  s&    AEAaDDL!A$$'''r  c                 T    t          t          d           | z  |z  ||z  z             S rO  rQ  r  s       r  
cons_f1760r  %  r
  r  c           	          t          t          | t          d           |z  t          d          z             t          | t          d                              S )NrP  r  rR  r  r  s     r  
cons_f1761r  %  sB    $q1Q44%'AbEE/**GAqtt,<,<===r  c                    t          t          t          |t          d                    t	          |t          d                              t	          |t          d                    t          | t          d                    t          t          | t          d                    t          |t          d                                        S )Nr{  r  r   rP  r  )r  r  r$   r  rR   rQ   r  s      r  
cons_f1762r  %  s    #eAqttnnga2&7&788'!QqTT:J:JERSUVWXUYUYNN\_`efgijklimim`n`nptuvxyz|x}x}p~p~\\  A  A  	Ar  c                 r    t          t          | t          d                    t          |                    S rh  r  r  s     r  
cons_f1763r  %  r  r  c           	          t          t          d          | z  |z  |z  |t          d          |t          d          z  z
  z  z             S rz  rQ  r  r  rX  r  s       r  
cons_f1764r  %  s@    QqTT!VAXaZ!QqTTAqttG^"44555r  c                 T    t          |  |z  t          d          |z  |z  z             S rO  rQ  )r  r  rX  r  s       r  
cons_f1765r  $%  r  r  c                 `    t          | t          d          z  t          d          z             S ru  rQ  r[  s    r  
cons_f1766r  )%  rZ  r  c                     t          |t          t          t          t          f          rdS t          t          | ||          |          S r^  ru  )r:  rC  r  r?  s       r  
cons_f1767r  .%  rx  r  c           	          t          |t          t          t          t          f          rdS t          t          | ||||          |          S r^  ru  r:  rC  rX  r  rF  r?  s         r  
cons_f1768r  5%  ru  r  c                     t          |t          t          t          t          f          rdS t          t          | |          |          S r^  ru  )rC  rF  r?  s      r  
cons_f1769r  <%  r<  r  c                 b    t          | t          d          z  |z  t          d                    S rz  r|  r3  s     r  
cons_f1770r  C%  s&    1add719add###r  c                     t          |t          t          t          t          f          rdS t          t          | |                    S r^  )r`  ra  r  rb  r  r7   r  r?  s     r  
cons_f1771r  H%  s;    a#wu566 	5)!Q//000r  c           	          t          |t          t          t          t          f          rdS t          t          | ||z  z   |t          d          z   z  ||                    S ra  )r`  ra  r  rb  r  r7   rn  r  )rX  r  r  r  r?  s        r  
cons_f1772r  O%  sS    a#wu566 	5;AaC1qtt84a;;<<<r  c                    t          t          t          t          t          f          rdS fd}t          |          }t          t          t          dt          d                    z  t          dt          d                    z   t          dt          d                    z            |          }t          t          |           |          }t          |          S )NFc                 B    t          t          | ||                    S r7  r  rX  r  r  r?  s      r  _cons_f_1772z cons_f1773.<locals>._cons_f_1772Y%      aA***r  r  r{  rX  r   r  r   )rd  r?  r   
_cons_1772r  r  s    `    r  
cons_f1773r  V%      a#wu566 	5	+ 	+ 	+ 	+ 	+%l33
oqC1C1'FCQRSTQUQU&VXYZZ\fgg A!6!6<<=!!!r  c                    t          t          t          t          t          f          rdS fd}t          |          }t          t          t          dt          d                    z  t          dt          d                    z   t          dt          d                    z            |          }t          t          |           |          }t          |          S )NFc                 B    t          t          | ||                    S r7  r  r  s      r  _cons_f_1773z cons_f1774.<locals>._cons_f_1773e%  r  r  r  r{  rX  r   r  r   )rd  r?  r  
_cons_1773r  r  s    `    r  
cons_f1774r	  b%  r  r  c                     t          | t          d          z  |t          d          z  z  |t          d          z  z             S rO  rQ  r  s      r  
cons_f1775r  n%  r  r  c                 \    t          t          | z  |z  |z  t          d          z             S r  )r   r  r  r  s      r  
cons_f1776r  s%  s&    1Qq1Q44(((r  c                 \    t          t          | z  |z  |z  t          d          z             S r  )r   r  r  r  s      r  
cons_f1777r  x%  s&    1Qq1R55)))r  c                     t          |t          t          t          t          f          rdS t          t          | ||          |          S r^  ru  )rX  r  r  r?  s       r  
cons_f1778r  }%  rx  r  c                     t          t          |t          d                    t          |           t	          |                    S rh  )r  rR   r  r   r   )r:  r  rI  s      r  
cons_f1779r  %  s0    '!QqTT""HQKK!===r  c                 N    t          | t          d          z   |z  |z             S rO  rQ  r  s      r  
cons_f1780r  %  $    a1gXaZ!^$$$r  c                 `    t          t          d          | z  t          d          z             S rO  r  rm  s    r  
cons_f1781r  %  s$    !Q1...r  c           	      |    t          t          |           t          | t          d          dz  z                       S r  )r  r   r   r  rm  s    r  
cons_f1782r  %  s/    (1++/AaDDF
;;<<<r  c           
          t          t          t          |t          d                    t	          |                               S r  )r7   r  r$   r  r   r  s     r  
cons_f1783r  %  s.    3uQ!~~x{{33444r  c                 B    t          | t          d          dz            S )Nr:  rP  r  rm  s    r  
cons_f1784r  %  r   r  c                     t          t          |           t          t          |t	          d                    t          |                              S r  )r  r(   r  r   r  r   r  s      r  
cons_f1785r   %  s6    )A,,C1Q44LL(1++ > >???r  c                 D    t          | |t          d          |z            S rO  ra  r  s      r  
cons_f1786r"  %  s    AqttAv&&&r  c                 f    t          | t          d          |z  z   t          d          z             S rz  r  r  s     r  
cons_f1787r$  %  r[  r  c                    t          t          t          |          t          t          t	          | t          d          z  t          d          dz  z             t          | t          d          |z  z   t          d          z   t          d                                                  t          t          | t          d          z  t          d          dz  z             t          t          t	          |          t          | t          d          |z  z   t          d          z   t          d                                                  t          t	          | t          d          z  |z   t          d          dz  z             t          t	          | t          d          z  t          d          dz  z                                           S )NrP  r  rR  r   r{  )r  r  r   r7   r   r  rR   r  s     r  
cons_f1788r&  %  s   #&q))3s3CAaddFQrUUSTWDT3U3UW^_`cdefcgcghici_ilmnolplp_prsturvrvWwWw/x/x+y+yzz|  AQ  RS  TU  VW  TX  TX  RX  [\  ]^  [_  [_  `a  [a  Ra  Ab  Ab  dg  hk  l|  }~  l  l  AH  IJ  MN  OP  MQ  MQ  RS  MS  IS  VW  XY  VZ  VZ  IZ  \]  ^_  \`  \`  Aa  Aa  hb  hb  dc  dc  }d  }d  fi  jz  {|  }~  @  }A  }A  {A  DE  {E  HI  JK  HL  HL  MN  HN  {N  jO  jO  QT  Ue  fg  hi  jk  hl  hl  fl  op  qs  ot  ot  uv  ov  fv  Uw  Uw  Qx  Qx  fy  fy  z  z  	zr  c                     t          t          |t          d                    t          t	          |t          d                    t          |           t          | t          d                                        S rB  )r  rR   r  r  rQ   r   r%   r  s     r  
cons_f1789r(  %  sV    '!QqTT""CQ"WQPQRSPTPTEUEU$V$VWWWr  c                     t          |t          t          t          t          f          rdS t          t          | ||||||          |          S r^  ru  r  s           r  
cons_f1790r*  %  r  r  c                     t          |t          t          t          t          f          rdS t          |t          d          z  t          d          t          d          t          z  | |z  t          z   z  z
  t          d          z  z
            S r  r`  ra  r  rb  r  r   r  r  rX  r  r?  s      r  
cons_f1791r.  %  sl    a#wu566 	5Q!W!qttAvqsQw'7 7!A$$>>???r  c                 "   t          |t          t          t          t          f          rdS t          |t          d          z  t          d          t          d          t          z  |  |z  t          z   z  z
  t          d          z  z
            S r  r,  r-  s      r  
cons_f1792r0  %  sn    a#wu566 	5Q!W!qttAvr!tax'8 81Q44??@@@r  c                 @   t          |t          t          t          t          f          rdS t          t          d          |z
  t          d          z  t          d          t          d          t          z  | |z  t          z   z  z
  t          d          z  z
            S NFr{  rP  r,  r-  s      r  
cons_f1793r3  %  sw    a#wu566 	5addQh1%1!Q!a0@)@1Q44(GGHHHr  c                 B   t          |t          t          t          t          f          rdS t          t          d          |z
  t          d          z  t          d          t          d          t          z  |  |z  t          z   z  z
  t          d          z  z
            S r2  r,  r-  s      r  
cons_f1794r5  %  sy    a#wu566 	5addQh1%1!Q1q0A)AAaDD(HHIIIr  c                 V    t          t          d          t          |t          |           S rh  r;  r  s     r  
cons_f1795r7  %  r	  r  c                 >    t          t          d          ||           S rh  ri  r  s     r  
cons_f1796r9  %  rk  r  c                     t          t          t          |t          d                    t	          | t          d          z   |z  |z                                 S rO  rD  r:  rX  r  rF  s       r  
cons_f1797r<  %  sD    3uQ!~~ua1gXaZ!^'<'<==>>>r  c                     t          |t          t          t          t          f          rdS t          t          | ||||||          |          S r^  ru  )r:  rC  rX  r  r  r  r  r?  s           r  
cons_f1798r>  %  r  r  c                 f    t          | t          d          z  t          d          dz  z             S rz  r  r  s    r  
cons_f1799r@  %  r  r  c                 N    t          | t          d          z   |z  |z             S rO  rQ  r  s      r  
cons_f1800rB  %  r  r  c                 0    t          t          | z            S r7  )r   r  r  s    r  
cons_f1801rD  %  s    AaCyyr  c                 J    t          t          t          | z                      S r7  )r7   r   r  r  s    r  
cons_f1802rF  &  s    4!99~~r  c                     t          | t          d          z  |t          d          z  z  |t          d          z  z             S rO  rQ  r)  s      r  
cons_f1803rH  &  r  r  c                 V    t          t          |          t          |                     S r7  r  rX  rI  s     r  
cons_f1804rK  &  r  r  c                 p    t          t          t          |          t          |                               S r7  r  rJ  s     r  
cons_f1805rM  &  r  r  c                     t          | t          d          z  |t          d          z  z  |t          d          z  z             S rO  rQ  r)  s      r  
cons_f1806rO  &  r  r  c                 P    t          t          | z  t          d          z            S rO  r   r  r  r  s    r  
cons_f1807rR  &  s    !AaDD!!!r  c                 N    t          | t          d          z   |z  |z             S rO  rQ  r)  s      r  
cons_f1808rT  !&  r  r  c                 J    t          t          t          | z                      S r7  )r7   r   r  r  s    r  
cons_f1809rV  &&  s    8AaC==!!!r  c                     t          | t          d          z  t          d          |t          d          z   t          d          z  z  z             S NrP  r  r{  r  r  s     r  
cons_f1810rY  +&  ?    1Q44!A$$AaDD1Q44'7"77888r  c                 v    t          t          | z  t          d          z  t          d          dz  z             S rz  rQ  r  s    r  
cons_f1811r\  0&  s-    !AaDD1Q446)***r  c                 r    t          t          t           | z  t          d          z  |z                       S rO  r7   r   r  r  r  s     r  
cons_f1812r_  5&  s,    8QBqD1IM**+++r  c                 P    t          t          | z  t          d          z            S rO  )r   r  r  r  s    r  
cons_f1813ra  :&      !AaDD)))r  c                 P    t          t          | z  t          d          z            S rO  )r   r  r  r  s    r  
cons_f1814rd  ?&  rb  r  c                     t          | t          d          z  t          d          |z  z
  t          d          z             S r  rQ  r  s     r  
cons_f1815rf  D&  s4    Q!WqttAv%"-...r  c                 j    t          t          t          | z  t          d          z                      S rO  r^  r  s    r  
cons_f1816rh  I&  s&    8AaC!H%%&&&r  c                 N    t          | t          d          z   |z  |z             S rO  rQ  r)  s      r  
cons_f1817rj  N&  r  r  c                 0    t          t          | z            S r7  )r(   r  r  s    r  
cons_f1818rl  S&  s    1~~r  c                 h    t          t          d          t          | z  t          d                    S rL  )rQ   r  r  r  s    r  
cons_f1819rn  X&  s$    AbEE1Q3!%%%r  c                 T    t          t          d           | z  |z  ||z  z             S rO  rQ  r  s       r  
cons_f1820rp  ]&  r
  r  c                     t          |t          d          z  |z  || t          d          z  t          d          z   z  z
            S rz  rQ  r  s       r  
cons_f1821rr  b&  s<    Q!WQYAqttGaddN!33444r  c           
          t          t          |          t          || t          d          z  t          d          z   z                      S rz  r  r   r   r  r:  rX  rI  s      r  
cons_f1822rv  g&  s9    (1++yAqttGaddN);<<===r  c                     t          t          t          |          t          || t	          d          z  t	          d          z   z                                S rz  r7   r  r   r   r  ru  s      r  
cons_f1823ry  l&  sA    2hqkk9Q1Q44!A$$-?#@#@AABBBr  c           	          t          t          t          |          t          t          | z                                S r7  )r7   r  r   r   r  r  s     r  
cons_f1824r{  q&  s*    3x{{E!A#JJ//000r  c           	          t          t          t          t          |                    t          t          | z                                S r7  )r7   r  r   r   r  r  s     r  
cons_f1825r}  v&  s2    3s8A;;''ac33444r  c                 <    t          | t          d                    S r  r  rm  s    r  
cons_f1826r  {&  r  r  c                 `    t          | t          d          z  t          d          z             S rz  r  r  s    r  
cons_f1827r  &  s$    1Q44!A$$'''r  c                     t          | t          d          z  t          d          |z  z
  t          d          z             S r  r  r  s     r  
cons_f1828r  &  s4    1Q44!A$$q&(1R550111r  c                     t          t          d          | t          d           |z  t          d          z             S )NrR  rP  r  r  r  s     r  
cons_f1829r  &  s0    1q1Q44%'AbEE/222r  c                 x    t          t          d          |z  t          | z  t          d          z  |z             S rO  )r   r  r  r  s     r  
cons_f1830r  &  s.    1a1QqTTA...r  c           	          t          t          t          d          |z  t          | z  t          d          z  |z                       S rO  )r7   r   r  r  r  s     r  
cons_f1831r  &  s6    9QqTT!VQqS1X\22333r  c                     t          t          d           | z  |z  |z  ||t          d          z  t          d          z   z  z             S rz  rQ  r  s       r  
cons_f1832r  &  sB    addU1WQYq[1a1g!n#55666r  c                     t          |t          t          t          t          f          rdS t          t          | ||          |          S r^  ru  )r:  rC  rF  r?  s       r  
cons_f1833r  &  rx  r  c                 \    t          | t          d          z   t          d                    S r  r  r  s    r  
cons_f1834r  &  s"    q1Q44x1&&&r  c                 B    t          | t          d          z   |          S r  r  r  s     r  
cons_f1835r  &  r  r  c           	          t          |t          t          t          t          f          rdS t          t          | ||||          |          S r^  ru  )r:  rC  rX  r  r  r?  s         r  
cons_f1836r  &  ru  r  c                 F    t          | |t          d          z  z             S rO  rQ  r3  s     r  
cons_f1837r  &      QAaDD[!!!r  c                 `    t          | t          d          z  t          d          z             S ru  rQ  rD
  s    r  
cons_f1838r  &  rZ  r  c                 h    t          | t          d          z   |z   t          d          z             S ru  rQ  r{  s     r  
cons_f1839r  &  s+    a1gX\AbEE)***r  c                     t          |t          t          t          t          f          rdS t          t          | |                    S r^  )r`  ra  r  rb  r  r#   r  rc  s     r  
cons_f1840r  &  :    a#wu566 	5LA&&'''r  c                 R   t          t          t          t          t          f          rdS fd}t          |          }t          t          t          t          z  t          dt          d                    z            |          }t          t          |           |          }|S )NFc                 $    t          |           S r7  r>  r  r  r  r?  s      r  _cons_f_1840z cons_f1841.<locals>._cons_f_1840&  r  r  r  r{  r`  ra  r  rb  r  r   r   r  f_w_r  r  r   )r  r?  r  
_cons_1840r  r  s    `    r  
cons_f1841r  &      a#wu566 	5	 	 	 	 	%l33
ob"fRQqTT]]&:A>>
KK A!6!6<<r  c                 R   t          t          t          t          t          f          rdS fd}t          |          }t          t          t          t          z  t          dt          d                    z            |          }t          t          |           |          }|S )NFc                 $    t          |           S r7  r>  r  s      r  _cons_f_1841z cons_f1842.<locals>._cons_f_1841&  r  r  r  r{  r  )r  r?  r  
_cons_1841r  r  s    `    r  
cons_f1842r  &  r  r  c                 v    t          | t          |z  z   t          d          z  t          d          z             S rz  r   r  r  rD  s     r  
cons_f1843r  &  -    a!A#g!_qtt+,,,r  c                 v    t          | t          |z  z
  t          d          z  t          d          z             S rz  r  rD  s     r  
cons_f1844r  &  r  r  c                 v    t          | t          |z  z   t          d          z  t          d          z             S rz  r   r  r  rD  s     r  
cons_f1845r  &  -    QqS1Q44!A$$.///r  c                 v    t          | t          |z  z
  t          d          z  t          d          z             S rz  r  rD  s     r  
cons_f1846r  &  r  r  c                 f    t          | |z
  t          d          z  t          d          z             S rz  rQ  rD  s     r  
cons_f1847r  &  s)    a!eadd]QqTT)***r  c                 f    t          | |z
  t          d          z  t          d          z             S rz  r  rD  s     r  
cons_f1848r  &  s)    Q1!,---r  c           	          t          |t          t          t          t          f          rdS 	 t          t          || t          d          z   |                    S # t          t          f$ r Y dS w xY wra  )
r`  ra  r  rb  r  r   r|  r  rg  rh  r  r  r?  s      r  
cons_f1849r  '  ss    a#wu566 	5	+Aq1Q44x;;<<<>* 	 	 	55	r
  c                    t          t          t          t          t          f          rdS fd}t          |          }t          t          t          dt          d                    z  t          dt          d                    z   t          dt          d                    z            |          }t          t          |           |          }t          |          S )NFc                 B    t          t          | ||                    S r7  r  r  s      r  _cons_f_1849z cons_f1850.<locals>._cons_f_1849'  r  r  r  r{  rX  r   r  r   )rd  r?  r  
_cons_1849r  r  s    `    r  
cons_f1850r  '  r  r  c           
          t          |t          t          t          t          f          rdS 	 t          t          || |t          |          z  z   z  |                    S # t          t          f$ r Y dS w xY wr^  )
r`  ra  r  rb  r  r   r#  r?   rg  rh  r:  rC  r  rd  r?  s        r  
cons_f1851r  '  sz    a#wu566 	5	*1a!F1II+o+>BBCCC>* 	 	 	55	   2A A43A4c                    t          t          t          t          t          f          rdS fd}t          |          }t          t          t          dt          d                    z  t          dt          d                    z   t          dt          d                    z            |          }t          t          |           |          }t          |          S )NFc                 B    t          t          | ||                    S r7  r  r  s      r  _cons_f_1851z cons_f1852.<locals>._cons_f_1851%'  r  r  r  r{  rX  r   r  r   )rd  r?  r  
_cons_1851r  r  s    `    r  
cons_f1852r  "'  r  r  c           
          t          |t          t          t          t          f          rdS 	 t          t          || |t          |          z  z   z  |                    S # t          t          f$ r Y dS w xY wr^  )
r`  ra  r  rb  r  r   r#  r  rg  rh  r  s        r  
cons_f1853r  .'  sz    a#wu566 	5	*1a!DGG)m+<a@@AAA>* 	 	 	55	r  c                     t          |t          t          t          t          f          rdS t          t          || ||z  z   z  |                    S r^  rS  r  s       r  
cons_f1854r  8'  F    a#wu566 	5Qq!ac'{A&&'''r  c                     t          |t          t          t          t          f          rdS t          t          || ||z  z   z  |                    S r^  rS  )r:  rC  r  r?  s       r  
cons_f1855r  ?'  r  r  c           	          t          |t          t          t          t          f          rdS t          t          | ||||          |          S r^  ru  r  s         r  
cons_f1856r  F'  ru  r  c                      t          |           S r7  )r  r  s    r  
cons_f1857r  M'  r  r  c                 p    t          t          t          |          t          |                               S r7  )r7   r  r   r  rr	  s     r  
cons_f1858r  R'  s&    3y||Xa[[11222r  c                    t          t          t          t          t          f          rdS fd}t          |          }t          t          t          dt          d                    z  t          dt          d                    z   t          dt          d                    z            |          }t          t          |           |          }t          |          S )NFc                 B    t          t          | ||                    S r7  r  r  s      r  _cons_f_1858z cons_f1859.<locals>._cons_f_1858Z'  r  r  r  r{  rX  r   r  r   )rd  r?  r  
_cons_1858r  r  s    `    r  
cons_f1859r  W'  r  r  c                    t          t          t          t          t          f          rdS fd}t          |          }t          t          t          dt          d                    z  t          dt          d                    z   t          dt          d                    z            |          }t          t          |           |          }t          |          S )NFc                 B    t          t          | ||                    S r7  r  r  s      r  _cons_f_1859z cons_f1860.<locals>._cons_f_1859f'  r  r  r  r{  rX  r   r  r   )rd  r?  r  
_cons_1859r  r  s    `    r  
cons_f1860r  c'  r  r  c                     t          t          |t          d                    t          |          t	          | t          d          z  |t          d          z  z                       S r  r  r  s       r  
cons_f1861r  o'  r  r  c                      t          |           S r7  rn   r  s    r  
cons_f1862r  t'      1~~r  c                      t          |           S r7  r  r  s    r  
cons_f1863r  y'  r  r  c                 R    t          t          t          t                    |           S r7  )r`   r   rJ   rL   r  s    r  
cons_f1864r  ~'      tD$''+++r  c                 R    t          t          t          t                    |           S r7  )r`   r   rM   rN   r  s    r  
cons_f1865r  '  r  r  c                     t          |t          d          z   |t          d          z  z  t          |           t          d          z  z  |t          d          z  z             S rO  rB  rC  s       r  
cons_f1866r  '  sO    AaDDAaDD(Q151Q44?@@@r  c                     t          |t          d          z   |t          d          z  z  t          |           t          d          z  z  |t          d          z  |t          d          z  z  z             S rO  rB  rF  s        r  
cons_f1867r  '  s]    AaDDAaDD(Q151Q441Q44GHHHr  c                    t          |t          d          z   |t          d          z  z  t          |           t          d          z  z  |t          d          z  |t          d          z   t          d          z  z  z             S rO  rL  rF  s        r  
cons_f1868r  '  si    a1gXa1g%c!ffaddl2Q!Wa!A$$h1=M5MMNNNr  c                    t          |t          d          z   |t          d          z  z  t          |           t          d          z  z  |t          d          z  |t          d          z   t          d          z  z  z             S rO  rB  rF  s        r  
cons_f1869r  '  si    AaDDAaDD(Q151Q44QqTTAaDD@P8PPQQQr  c                    t          |t          d          z   |t          d          z  z  t          |           t          d          z  z  |t          d          z  |t          d          z   t          d          z  z  z             S r  rL  rF  s        r  
cons_f1870r  '  si    a1gXa1g%c!ffaddl2Q!Wa!B%%i!A$$=N5NNOOOr  c                    t          |t          d          z   |t          d          z  z  t          |           t          d          z  z  |t          d          z  |t          d          z   t          d          z  z  z             S r  rB  rF  s        r  
cons_f1871r  '  si    AaDDAaDD(Q151Q44QrUUQqTT@Q8QQRRRr  c                 f    t          | t          d          z  |t          d          z  z             S rO  rQ  r@  s     r  
cons_f1872r   '  r  r  c                 f    t          | t          d          z  |t          d          z  z             S rO  rQ  rY  s     r  
cons_f1873r  '  r  r  c                      t          |           S r7  r  r  s    r  
cons_f1874r  '  r  r  c                 $    t          | ||          S r7  rq  rk  s      r  
cons_f1875r  '  rP  r  c                     t          | t          d          z  |t          d          z  z  |t          d          z   t          d          z  z  t          d          z             S ru  rQ  rk  s      r  
cons_f1876r  '  sM    Q!WQ!W_a!A$$h1%55"=>>>r  c                 F    t          | |z  t          d          z             S r,  rQ  rp  s     r  
cons_f1877r
  '  s    QqS1R55[!!!r  c                     t          | t          d          z  |t          d          z  z  |t          d          z  z  t          d          z             S ru  rQ  rk  s      r  
cons_f1878r  '  sB    Q!WQ!W_Q!W,quu4555r  c                     t          | t          d          z  |t          d          z  z  t          d          z             S ru  r  rp  s     r  
cons_f1879r  '  s3    1Q441Q44!B%%/000r  c                     t          | t          d          z  |t          d          z  z  |t          d          z  z  t          d          z             S ru  r  rk  s      r  
cons_f1880r  '  sB    1Q441Q441Q44/!B%%7888r  c                     t          | t          d          z  |t          d          z  z  |t          d          z   t          d          z  z  t          d          z             S ru  r  rk  s      r  
cons_f1881r  '  sM    1Q441Q44QqTTAaDD(881R55@AAAr  c                     t          | t          d          z  |t          d          z  z  |t          d          z   t          d          z  z  |t          d          z   t          d          z  z
            S rz  rQ  rw  s       r  
cons_f1882r  '  ry  r  c                     t          | t          d          z  |t          d          z  z  |t          d          z  z  |t          d          z   t          d          z  z
            S rz  rQ  rw  s       r  
cons_f1883r  '  r|  r  c                     t          | t          d          z  |t          d          z  z  |t          d          z   t          d          z  z
            S rz  r  r~  s      r  
cons_f1884r  '  r  r  c                     t          | t          d          z  |t          d          z  z  |t          d          z  z  |t          d          z   t          d          z  z
            S rz  r  rw  s       r  
cons_f1885r  '  r  r  c                     t          | t          d          z  |t          d          z  z  |t          d          z   t          d          z  z  |t          d          z   t          d          z  z
            S rz  r  rw  s       r  
cons_f1886r  '  r  r  c                     t          | t          d          z  |t          d          z  z  t          d          z             S ru  rQ  rp  s     r  
cons_f1887r  '  s3    Q!WQ!W_quu,---r  c                     t          | t          d          z  |t          d          z  z  |t          d          z   t          d          z  z  t          d          z             S NrP  r  r  rQ  rk  s      r  
cons_f1888r!  '  sM    Q!WQ!W_a!B%%i!A$$%662>???r  c                     t          | t          d          z  |t          d          z  z  |t          d          z   t          d          z  z  t          d          z             S r   r  rk  s      r  
cons_f1889r#  '  sM    1Q441Q44QrUUQqTT(99AbEEABBBr  c                 &    t          | |||          S r7  rq  rw  s       r  
cons_f1890r%   (  r  r  c                     t          | t          d          z  |t          d          z  z  |t          d          z   t          d          z  z
            S rz  rQ  r~  s      r  
cons_f1891r'  (  r  r  c                     t          | t          d          z  |t          d          z  z  |t          d          z   t          d          z  z  |t          d          z   t          d          z  z
            S r  r  rw  s       r  
cons_f1892r)  
(  r  r  c                 2    t          | |z  ||z  z             S r7  r8  r
  s       r  
cons_f1893r+  (  r  r  c                 .    t          |  |z  |z             S r7  r8  )rX  r   r$  s      r  
cons_f1894r-  (  s    aRURZ   r  c                 ,    t          | |z  |z             S r7  r8  )rX  r!  r%  s      r  
cons_f1895r/  (  s    QrTBYr  c                      t          |           S r7  r  )r   s    r  
cons_f1896r1  (  r  r  c                      t          |           S r7  r  )r!  s    r  
cons_f1897r3  #(  r  r  c                 p    t          t          t          |           t          |                              S r7  )r7   r  r   r   r   r!  s     r  
cons_f1898r6  ((  s&    3y}}imm44555r  c                 V    t          t          |           t          |                    S r7  )r  r   r   r5  s     r  
cons_f1899r8  -(  s    9R==)B--000r  c                 N    t          | t          d          z   |z  |z             S rO  r  r  s      r  
cons_f1900r:  2(  s$    AaDD
Q'''r  c
                     t          |	t          t          t          t          f          rdS t          t          | ||||||||	  	        |	          S r^  ru  )
r:  rC  rX  r   r!  r$  r%  rF  rI  r?  s
             r  
cons_f1901r<  7(  sJ    a#wu566 	5T!Q2r2r1a88!<<<r  c                     t          | t          d          z  |t          d          z  z  |t          d          z  z             S rO  rQ  r  s      r  
cons_f1902r>  >(  r  r  c                     t          t          t          |          t          t	          |           t          |                                        S r7  )r7   r  r   r  r   r   )r   r!  rI  s      r  
cons_f1903r@  C(  s6    2hqkk3y}}imm#D#DEEFFFr  c                 @    t          | t          d          z             S r  r  r  s    r  
cons_f1904rB  H(  r  r  c                     t          |t          t          t          t          f          rdS t          t          | |||||||||	|
          |          S r^  ru  )r:  rC  rX  r   r!  r$  r%  r  r  rF  rI  r?  s               r  
cons_f1905rD  M(  sN    a#wu566 	5T!Q2r2r1aA>>BBBr  c                 `    t          | t          d          z  t          d          z             S rz  rQ  r[  s    r  
cons_f1906rF  T(  s$    Q!Wqtt^$$$r  c                    t          t          t          t          t          f          rdS fd}t          |          }t          t          t          dt          d                    z  t          dt          d                    z   t          dt          d                    z            |          }t          t          |           |          }t          |          S )NFc                 B    t          t          | ||                    S r7  r  r  s      r  _cons_f_1906z cons_f1907.<locals>._cons_f_1906\(  r  r  r  r{  rX  r   r  r   )rd  r?  rI  
_cons_1906r  r  s    `    r  
cons_f1907rK  Y(  r  r  c                    t          t          t          t          t          f          rdS fd}t          |          }t          t          t          dt          d                    z  t          dt          d                    z   t          dt          d                    z            |          }t          t          |           |          }t          |          S )NFc                 B    t          t          | ||                    S r7  r  r  s      r  _cons_f_1907z cons_f1908.<locals>._cons_f_1907h(  r  r  r  r{  rX  r   r  r   )rd  r?  rN  
_cons_1907r  r  s    `    r  
cons_f1908rP  e(  r  r  c                     t          | t          d          z  |t          d          z  z  |t          d          z  z
            S rO  rQ  r  s      r  
cons_f1909rR  q(  r  r  c                 L    t          | |z  |z  t          d          z             S r  r  r  s      r  
cons_f1910rT  v(  s"    1Q1&&&r  c                 L    t          | |z  |z  t          d          z             S r  r|  r  s      r  
cons_f1911rV  {(  s"    1Q2'''r  c           	          t          |t          t          t          t          f          rdS t          |t          d          z  t          d          t          d          | |z  t          d          z   z  z
  t          d          z  z
            S r  r_  r-  s      r  
cons_f1912rX  (  sn    a#wu566 	5Q!W!qttQqS1Q44Z'8 81Q44??@@@r  c           	      "   t          |t          t          t          t          f          rdS t          |t          d          z  t          d          t          d          |  |z  t          d          z   z  z
  t          d          z  z
            S r  r_  r-  s      r  
cons_f1913rZ  (  sp    a#wu566 	5Q!W!qttaRTAaDD['9 9AaDD@@AAAr  c           	      @   t          |t          t          t          t          f          rdS t          t          d          |z
  t          d          z  t          d          t          d          | |z  t          d          z   z  z
  t          d          z  z
            S r2  r_  r-  s      r  
cons_f1914r\  (  sy    a#wu566 	5addQh1%1!acAaDDj0A)AAaDD(HHIIIr  c           	      B   t          |t          t          t          t          f          rdS t          t          d          |z
  t          d          z  t          d          t          d          |  |z  t          d          z   z  z
  t          d          z  z
            S r2  r_  r-  s      r  
cons_f1915r^  (  s{    a#wu566 	5addQh1%1!qbdQqTTk0B)BQqTT(IIJJJr  c                     t          t          t          |t          d                    t	          | t          d          z  |z  |z                                 S rO  rD  r;  s       r  
cons_f1916r`  (  sB    3uQ!~~uQ!WQY]';';<<===r  c                 L    t          | t          d          z  |z  |z             S rO  rQ  r  s      r  
cons_f1917rb  (  r  r  c                 ,    t          | |z  |z             S r7  r8  r)  s      r  
cons_f1918rd  (      QqS1W~~r  c           
          t          t          |          t          |  t          d          z  |z             t          |  t          d          z  |z   t          d          z                       S ru  r+	  r  s     r  
cons_f1919rg  (  sU    (1++uaR!Wq[115!AaDD1quu9L3M3MNNNr  c                     t          | t          d          z  |t          d          z  z  |t          d          z  z
            S rO  rQ  r)  s      r  
cons_f1920ri  (  r  r  c                     t          | t          d          z   |t          d          z  z  |t          d          z  z             S rO  rQ  r)  s      r  
cons_f1921rk  (  s:    a1gXa1g%1Q44/000r  c                 L    t          | t          d          z  |z  |z             S rO  rQ  r)  s      r  
cons_f1922rm  (  r  r  c                     t          | t          d          z  t          d          |t          d          z   t          d          z  z  z
            S rX  r  r  s     r  
cons_f1923ro  (  rZ  r  c                 Z    t          t          | t          d          z                      S rO  r\  r  s    r  
cons_f1924rq  (  r  r  c                 f    t          | t          d          z  t          d          dz  z             S rz  r  r  s    r  
cons_f1925rs  (  r  r  c                 b    t          t          |  t          d          z  |z                       S rO  r\  r  s     r  
cons_f1926ru  (  s(    8QBqttGaK(()))r  c                 f    t          | t          d          z  t          d          dz  z             S ru  r  r  s    r  
cons_f1927rw  (  rU  r  c                 @    t          | t          d          z            S rO  r  r  s    r  
cons_f1928ry  (  r  r  c                     t          | t          d          z  t          d          |z  z   t          d          z             S rO  rQ  r  s     r  
cons_f1929r{  (  s4    Q!WqttAv%!,---r  c                 L    t          | t          d          z  |z  |z             S rO  rQ  r)  s      r  
cons_f1930r}  (  r  r  c           	          t          |t          d          z  |z  |t          d          | t          d          z  z
  z  z             S rz  rQ  r  s       r  
cons_f1931r  (  s<    Q!WQYAaDD1add7N!33444r  c                     t          t          |          t          |t          d          | t          d          z  z
  z                      S r  rt  ru  s      r  
cons_f1932r  (  s9    (1++yAaDD1add7N);<<===r  c                     t          t          t          |          t          |t	          d          | t	          d          z  z
  z                                S r  rx  ru  s      r  
cons_f1933r  (  sA    2hqkk9Q!q!A$$w-?#@#@AABBBr  c                 H    t          |  t          d          z  |z             S rO  rQ  r  s     r  
cons_f1934r  (  r
  r  c                 ,    t          | |z  |z             S r7  r8  r)  s      r  
cons_f1935r  (  re  r  c                 6   t          t          |          t          | t          d          z  |z             t          | t          d          z  |z   t          d          z             t	          t          d          | t          d                              S )NrP  r  r:  )r  r   r   r  rQ   r  s      r  
cons_f1936r   )  sx    (1++uaR!Wq[115!AaDD1quu9L3M3MtTUVXTYTY[\^_`b^c^cOdOdeeer  c                 p    t          t          |          t          t          |                               S r7  )r  r   r7   r  s     r  
cons_f1937r  )  s&    (1++s8A;;//000r  c                     t          | t          d          z  t          d          |z  z   t          d          z             S rO  r  r  s     r  
cons_f1938r  
)  s4    1Q44!A$$q&(1Q44/000r  c                 h    t          t          d          |z  | t          d          z  |z             S rO  ra  r  s     r  
cons_f1939r  )  s*    1a1Q44!,,,r  c           	          t          t          t          d          |z  | t          d          z  |z                       S rO  r	  r  s     r  
cons_f1940r  )  s2    9QqTT!VQqttVaZ00111r  c                 F    t          | |t          d          z  z
            S rO  rQ  r3  s     r  
cons_f1941r  )  r  r  c                     t          |t          t          t          t          f          rdS t          t          | |                    S r^  )r`  ra  r  rb  r  r   r  rc  s     r  
cons_f1942r  )  r  r  c                 R   t          t          t          t          t          f          rdS fd}t          |          }t          t          t          t          z  t          dt          d                    z            |          }t          t          |           |          }|S )NFc                 $    t          |           S r7  r>  r  s      r  _cons_f_1942z cons_f1943.<locals>._cons_f_1942()  r  r  r  r{  r  )r  r?  r  
_cons_1942r  r  s    `    r  
cons_f1943r  %)  r  r  c                 R   t          t          t          t          t          f          rdS fd}t          |          }t          t          t          t          z  t          dt          d                    z            |          }t          t          |           |          }|S )NFc                 $    t          |           S r7  r>  r  s      r  _cons_f_1943z cons_f1944.<locals>._cons_f_19434)  r  r  r  r{  r  )r  r?  r  
_cons_1943r  r  s    `    r  
cons_f1944r  1)  r  r  c                 f    t          | |z
  t          d          z  t          d          z             S ru  rQ  rD  s     r  
cons_f1945r  =)  s)    a!eadd]QrUU*+++r  c                 f    t          | |z
  t          d          z  t          d          z             S ru  r  rD  s     r  
cons_f1946r  B)  s)    Q1"-...r  c                 v    t          | t          |z  z   t          d          z  t          d          z             S ru  r  rD  s     r  
cons_f1947r  G)  -    a!A#g!_quu,---r  c                 v    t          | t          |z  z
  t          d          z  t          d          z             S ru  r  rD  s     r  
cons_f1948r  L)  r  r  c                 v    t          | t          |z  z   t          d          z  t          d          z             S ru  r  rD  s     r  
cons_f1949r  Q)  -    QqS1Q44!B%%/000r  c                 v    t          | t          |z  z
  t          d          z  t          d          z             S ru  r  rD  s     r  
cons_f1950r  V)  r  r  c                    t          t          t          t          t          f          rdS fd}t          |          }t          t          t          dt          d                    z  t          dt          d                    z   t          dt          d                    z            |          }t          t          |           |          }t          |          S )NFc                 B    t          t          | ||                    S r7  r  r  s      r  _cons_f_1950z cons_f1951.<locals>._cons_f_1950^)  r  r  r  r{  rX  r   r  r   )rd  r?  r  
_cons_1950r  r  s    `    r  
cons_f1951r  [)  r  r  c           
          t          |t          t          t          t          f          rdS 	 t          t          || |t          |          z  z   z  |                    S # t          t          f$ r Y dS w xY wr^  )
r`  ra  r  rb  r  r   r#  r  rg  rh  r  s        r  
cons_f1952r  g)  z    a#wu566 	5	*1a!E!HH*n+=qAABBB>* 	 	 	55	r  c                    t          t          t          t          t          f          rdS fd}t          |          }t          t          t          dt          d                    z  t          dt          d                    z   t          dt          d                    z            |          }t          t          |           |          }t          |          S )NFc                 B    t          t          | ||                    S r7  r  r  s      r  _cons_f_1952z cons_f1953.<locals>._cons_f_1952t)  r  r  r  r{  rX  r   r  r   )rd  r?  r  
_cons_1952r  r  s    `    r  
cons_f1953r  q)  r  r  c           
          t          |t          t          t          t          f          rdS 	 t          t          || |t          |          z  z   z  |                    S # t          t          f$ r Y dS w xY wr^  )
r`  ra  r  rb  r  r   r#  r  rg  rh  r  s        r  
cons_f1954r  })  r  r  c                     t          |t          t          t          t          f          rdS t          t          | |          |          S r^  ru  )r:  rI  r?  s      r  
cons_f1955r  )  r<  r  c                     t          |t          t          t          t          f          rdS t          t          | ||          |          S r^  ru  )r:  r  rI  r?  s       r  
cons_f1956r  )  rx  r  c                    t          t          t          t          t          f          rdS fd}t          |          }t          t          t          dt          d                    z  t          dt          d                    z   t          dt          d                    z            |          }t          t          |           |          }t          |          S )NFc                 B    t          t          | ||                    S r7  r  r  s      r  _cons_f_1956z cons_f1957.<locals>._cons_f_1956)  r  r  r  r{  rX  r   r  r   )rd  r?  r  
_cons_1956r  r  s    `    r  
cons_f1957r  )  r  r  c                    t          t          t          t          t          f          rdS fd}t          |          }t          t          t          dt          d                    z  t          dt          d                    z   t          dt          d                    z            |          }t          t          |           |          }t          |          S )NFc                 B    t          t          | ||                    S r7  r  r  s      r  _cons_f_1957z cons_f1958.<locals>._cons_f_1957)  r  r  r  r{  rX  r   r  r   )rd  r?  r  
_cons_1957r  r  s    `    r  
cons_f1958r  )  r  r  c                 H    t          | t          d          z   |z             S rO  rQ  r  s     r  
cons_f1959r  )  r  r  c                 F    t          | t          d          z  |z             S rO  rQ  r  s     r  
cons_f1960r  )  s    Q!Wq[!!!r  c                 r    t          t          | t          d                    t          |                     S rh  )r  rR   r  r   r  s    r  
cons_f1961r  )  s(    '!QqTT""DGG,,,r  c                     t          t          t          | t          d                    t	          |                     t          t          | t          d                    t          d                              S )Nr   r  rR  )r  r  rR   r  r   r$   r  r  s    r  
cons_f1962r  )  sP    #ga1&&a115Q!qtt3L3LMMMr  c                 x    t          t           | t          d          z  z  t          d          z  |z             S rO  )r   r  r  r3  s     r  
cons_f1963r  )  s0    bSAaDD[1%)***r  c           
          t          t          t          | t          d                    t          d                              S r  r7   r$   r  r  r  s    r  
cons_f1964r  )  .    5Q!qtt,,---r  c                 r    t          t          | t          d                    t          d                    S Nr  r   r$   r  r  r  s    r  
cons_f1965r  )  &    SAaDD\\1Q44(((r  c           
          t          t          t          | t          d                    t          d                              S r  r  r  s    r  
cons_f1966r  )  r  r  c                 r    t          t          | t          d                    t          d                    S r  r  r  s    r  
cons_f1967r  )  r  r  c                     t          t          |           t          |          t          t	          | |          t          | t          d                    t          |t          d                                        S r/  )r  r   r   r  r(   rR   r  rQ   r  s     r  
cons_f1968r  )  sf    "1%%'7':':C	!QQXYZ\]^_\`\`QaQacghiklmokpkpcqcq<r<rsssr  c                     t          t          |          t          t          | |          t	          | t          d                    t          |t          d                                        S r  )r  r   r  r(   rQ   r  rR   r  s     r  
cons_f1969r  )  sR    "1%%s9Q??DAbEENNGTUWXYZW[W[L\L\']']^^^r  c                     t          t          t          |           t          | t	          d                                        S rh  r!  r  s    r  
cons_f1970r  )  s0    3x{{Ia1$6$677888r  c                 t    t          t          |           t          |          t          | |                    S r7  r  r  s     r  
cons_f1971r  )  s.    "1%%'7':':IaOOLLLr  c                 F    t          | |z
  t          d          z             S r  rQ  rY  s     r  
cons_f1972r  )  r  r  c                 @    t          | t          d          z             S r  r  r  s    r  
cons_f1973r  )  r  r  c                 @    t          | t          d          z             S r,  r  r  s    r  
cons_f1974r  )  r  r  c           	          t          |t          t          t          t          f          rdS t          t          | ||||          |          S r^  ru  )r:  rC  rF  rI  r  r?  s         r  
cons_f1975r  )  ru  r  c                      t          |           S r7  rq  r  s    r  
cons_f1976r  *  rs  r  c                 <    t          | t          d                    S rh  r~  r  s    r  
cons_f1977r  	*  r  r  c                     t          |t          t          t          t          f          rdS t          t          | ||||||          |          S r^  ru  )r  r:  rC  rX  r  rF  rI  r?  s           r  
cons_f1978r  *  r  r  c                 D   t          t          | |t          d          z   z  t          d          z             t          t	          |t          d          dz  z             t          | |t          d          dz  z   z  t          d          z                                 S r  )r  r   r  r  r   r  s     r  
cons_f1979r  *  s    %1quu9!,--s8A"aK3H3H%PQSTWXY[W\W\]^W^S^P_bcdebfbfPfJgJg/h/hiiir  c                 z   t          t          t          |          t          | |t	          d          z   z  t	          d          z                       t          t          |t	          d          dz  z             t          | |t	          d          dz  z   z  t	          d          z                                 S rL	  )r  r  r   r   r  r  s     r  
cons_f1980r  *  s    #hqkk5A!H!)<#=#=>>HQQRSUQVQVWXQX[DYDY[`abdehijkhlhlmnhndnaorsturvrvav[w[w@x@xyyyr  c                    t          t          t          |t          d          dz  z             t          t          d          | ||z  z   t          d          z   z  |z            t	          | ||z  z   t          d          z   |z  t          d                              t          t          t          |t          d          dz  z                       t          | ||z  z   t          d          z   |z            t          | ||z  z   t          d          z   |z  t          d                                        S )Nr  rP  r{  r   )r  r  r   r  rR   r7   rS   r  s      r  
cons_f1981r  *  s   #hq1R557{++XaddA!GaddN6KA6M-N-NPWYZ]^_`]`Y`cdefcgcgYgijXjlmnolplpPqPqrrtwx{  }E  FG  JK  LN  JO  JO  PQ  JQ  FQ  }R  }R  yS  yS  U]  _`  cd  ef  cf  _f  ij  kl  im  im  _m  op  ^p  Uq  Uq  s  AB  EF  GH  EH  AH  KL  MN  KO  KO  AO  QR  @R  TU  VW  TX  TX  sY  sY  uZ  uZ  [  [  	[r  c                    t          t          | t          d          z             t          t	          |t          d          dz  z             t	          t          d          dz  | ||z  z   t          d          z   |z  z             t          | ||z  z   t          d          z   |z  t          d                              t          t          t	          |t          d          dz  z                       t	          | ||z  z   t          d          z   |z            t          | ||z  z   t          d          z   |z  t          d                                        S )Nr{  r  rP  r   )r  r   r  r  r   rQ   r7   r  s      r  
cons_f1982r  $*  s@   %AaDD//3xAbEE!G'<'<hquuQwRSVWXYVYRY\]^_\`\`R`bcQcGc>d>dfjlmpqrspslsvwxyvzvzlz|}k}  @A  BC  @D  @D  gE  gE  $F  $F  HK  LO  PX  YZ  ]^  _a  ]b  ]b  cd  ]d  Yd  Pe  Pe  Lf  Lf  hp  rs  vw  xy  vy  ry  |}  ~  |@  |@  r@  BC  qC  hD  hD  FJ  LM  PQ  RS  PS  LS  VW  XY  VZ  VZ  LZ  \]  K]  _`  ab  _c  _c  Fd  Fd  He  He  f  f  	fr  c                     t          |t          t          t          t          f          rdS t          t          | ||          |          S r^  ru  )r:  rX  r  r?  s       r  
cons_f1983r  )*  rx  r  c           	          t          |t          t          t          t          f          rdS t          t          | ||||          |          S r^  ru  )r:  rC  rX  r  rI  r?  s         r  
cons_f1984r  0*  ru  r  c                 f    t          | |t          d          z   z  t          d          z             S rL  rQ  r  s     r  
cons_f1985r  7*  s)    QAbEE	]QqTT)***r  c                 F    t          |t          d          | z  z             S r  rQ  r  s     r  
cons_f1986r  <*  rU  r  c                 l    t          |t          d          dz  z   t          d          | z  z             S r0
  rQ  r  s     r  
cons_f1987r	  A*  s-    Q2q[1Q446)***r  c                 &    t          | |z            S r7  r  r+  s     r  
cons_f1988r  F*  r  r  c                 &    t          | |z            S r7  r  r+  s     r  
cons_f1989r  K*  r  r  c                     t          | |t          d          z   z  t          d          z   t          d                    S )Nr  r{  r   r~  r  s     r  
cons_f1990r  P*  s1    q!aee)}qtt+QqTT222r  c                 b    t          | |z  t          d          z   t          d                    S r  ri  r  s     r  
cons_f1991r  U*  r  r  c                     t          |t          t          t          t          f          rdS t          t          | |          |          S r^  ru  )r:  r  r?  s      r  
cons_f1992r  Z*  r<  r  c                     t          |t          t          t          t          f          rdS t          t          | ||          |          S r^  ru  )r:  r  rF  r?  s       r  
cons_f1993r  a*  rx  r  c           	          t          |t          t          t          t          f          rdS t          t          | ||||          |          S r^  ru  )r:  rX  r  rF  rI  r?  s         r  
cons_f1994r  h*  ru  r  c                 l    t          | ||t          d          z   z  z   t          d          z             S rL  rQ  r  s      r  
cons_f1995r  o*  s.    QA"I&1-...r  c                 L    t          | ||z  z   t          d          z             S r  rQ  r  s      r  
cons_f1996r  t*  s"    Q1Wqtt^$$$r  c                 r    t          | ||t          d          dz  z   z  z   t          d          z             S r0
  rQ  r  s      r  
cons_f1997r  y*  s2    QA"aK(1Q44/000r  c                 L    t          | |t          d          dz  z   z            S r  r  rJ  s     r  
cons_f1998r  ~*  "    Aq1R557{O$$$r  c                 L    t          | |t          d          dz  z   z            S r  r  rJ  s     r  
cons_f1999r"  *  r   r  c                 R    t          | ||z  z   t          d          z   |z            S r  )r(   r  r  s      r  
cons_f2000r$  *  s'    !ac'AaDD.!+,,,r  c                 n    t          | ||z  z   t          d          z   |z  t          d                    S r  r~  r  s      r  
cons_f2001r&  *  s/    AaC!A$$)1Q44000r  c                 n    t          | ||z  z   t          d          z   |z  t          d                    S r  ri  r  s      r  
cons_f2002r(  *  s/    Q1Wqtt^Q&!---r  c                     t          |t          t          t          t          f          rdS t          t          |          | |          S r^  )r`  ra  r  rb  r  rn  r  r?  s     r  
cons_f2003r*  *  s:    a#wu566 	5:a==!Q///r  c                     t          |t          t          t          t          f          rdS  fd}t          |          }t          t          |t          dt          d                    z  t          dt          d                    z  |          |          }t          t          ||          |          }t          |          S )NFc                 .    t          | z
  dz
            S r  r8  )r"  rd  rF  s     r  _cons_f_2003z cons_f2004.<locals>._cons_f_2003*  s    R!$$$r  r"  r{  rd  r   )rF  r  r?  r-  
_cons_2003r  r  s   `      r  
cons_f2004r/  *  s    a#wu566 	5	% 	% 	% 	% 	%%l33
oaD!A$$&73!&EqII:VV A!6!6<<=!!!r  c                 &    t          | |z             S r7  r8  )r  r  s     r  
cons_f2005r1  *  r  r  c                 F    t          | |z   t          d          z             S r,  rQ  rE  s     r  
cons_f2006r3  *  r  r  c                 X    t          | |t          d          z  z  ||z  |z  z             S rO  rQ  )r  r  r  r  r  s        r  
cons_f2007r5  *  s+    Qq!A$$wY1Q&'''r  c                 t    t          |  |z  t          d          |z  |t          d          z   z  z             S ru  rQ  )r  r  r  r  s       r  
cons_f2008r7  *  s4    aRTAaDDFA"I..///r  c                 L    t          | |t          d          z  z  |z             S rO  rQ  )r  r  r  s      r  
cons_f2009r9  *  s"    Qq!A$$wY]###r  c                 :    t          t          |                     S r7  r  r  s    r  
cons_f2010r;  *  ro  r  c                 (    t          |  |z             S r7  r8  )rd  ys     r  
cons_f2011r>  *  r	  r  c                 (    t          |  |z             S r7  r8  )r  r=  s     r  
cons_f2012r@  *  r	  r  c                 &    t          | |z
            S r7  r8  )r=  r+  s     r  
cons_f2013rB  *  r  r  c           	          t          |t          t          t          t          f          rdS t          t          | ||||          |          S r^  ru  )r:  rC  r  rF  rI  r?  s         r  
cons_f2014rD  *  ru  r  c                 (    t          |  |z             S r7  r8  r{  s     r  
cons_f2015rF  *  r	  r  c                 L    t          | ||t          d          z   z  z
            S r  rQ  r  s      r  
cons_f2016rH  *  s#    QA!H%&&&r  c                 @    t          | t          d          z             S r  r  r  s    r  
cons_f2017rJ  *  r  r  c                 F    t          | |t          d          z   z            S r  rb  r  s     r  
cons_f2018rL  *  r  r  c                 r    t          | |t          d          z   z  ||t          d          z   z  z
            S r  rQ  )rI  r  r  rD
  s       r  
cons_f2019rN  *  r  r  c                 R    t          ||| |z  t          d          z   z  z             S r  rQ  r  s      r  
cons_f2020rP  *  s'    QAaC!A$$J'(((r  c                 X    t          ||| |z  |z   t          d          z   z  z             S r  rQ  )r  rI  r  r  s       r  
cons_f2021rR  *  s,    QAaC!GaddN++,,,r  c                 x    t          ||t          d          z   z  || |z  t          d          z   z  z             S r  rQ  )r  rI  r  rD
  s       r  
cons_f2022rT  +  s5    QAaDD\AqsQqTTzN2333r  c                 @    t          | t          d          z             S r  r  r  s    r  
cons_f2023rV  +  r  r  c                 F    t          | |t          d          z   z            S r  rb  )r  rD
  s     r  
cons_f2024rX  +  r  r  c                 ~    t          ||t          d          z   z  || |z  |z   t          d          z   z  z             S r  rQ  )r  rI  r  r  rD
  s        r  
cons_f2025rZ  +  s:    QAaDD\AqsQw1~$66777r  c                     t          |t          t          t          t          f          rdS t          || t          d          z   z  ||          S ra  )r`  ra  r  rb  r  rn  r  r  s      r  
cons_f2026r\  +  sB    a#wu566 	51q1Q44x=!Q///r  c                     t          |t          t          t          t          f          rdS t          t          | |                    S r^  r_  r}
  s     r  
cons_f2027r^  +  rf  r  c                     t          | t          t          t          t          f          rdS t          t          ||                     S r^  r_  r*  s     r  
cons_f2028r`  #+  rf  r  c                     t          t          t          | t          d                    t          |t          d                                        S r  )r7   r  r   r  r  s     r  
cons_f2029rb  *+  s6    3s1add||SAaDD\\22333r  c                     t          |t          t          t          t          f          rdS t          t          t          ||          t          | t          d                                        S ra  )	r`  ra  r  rb  r  r7   r  r   r  )r  rd  r?  s      r  
cons_f2030rd  /+  sP    a#wu566 	53s1ayy#a1,,//000r  c                     t          |t          t          t          t          f          rdS t          t          | |                    S r^  )r`  ra  r  rb  r  r7   r   r?  s     r  
cons_f2031rf  6+  s;    a#wu566 	5$Q**+++r  c                     t          |t          t          t          t          f          rdS t          t          | |                    S r^  r  rc  s     r  
cons_f2032rh  =+  r  r  c                 (    t          |  |z             S r7  r  )r  rD
  s     r  
cons_f2033rj  D+  r
  r  c                     t          |t          t          t          t          f          rdS t          t          | |                    S r^  )r`  ra  r  rb  r  r7   r   r?  s     r  
cons_f2034rl  I+  s;    a#wu566 	5%a++,,,r  c           	          t          |t          t          t          t          f          rdS t          t          | t          d                    t          t          ||                              S r  )
r`  ra  r  rb  r  r  rR   r  r7   r   r  s      r  
cons_f2035rn  P+  sU    a#wu566 	5'!QqTT""C(:1a(@(@$A$ABBBr  c                 v    t          |t          t          t          t          f          rdS t          | |          S r^  )r`  ra  r  rb  r  r  r?  s     r  
cons_f2036rp  W+  s2    a#wu566 	5q!$$$r  c                 x    t          |t          t          t          t          f          rdS t          || |          S r^  )r`  ra  r  rb  r  r  r/  s      r  
cons_f2037rr  ^+  s4    a#wu566 	5Q1%%%r  c                 &    t          | |z             S r7  r8  r	  s     r  
cons_f2038rt  e+  r  r  c                 &    t          | |z             S r7  r8  r  s     r  
cons_f2039rv  j+  r  r  (X  __doc__sympy.externalr   r   r   r   r   r   %sympy.integrals.rubi.utility_functionr	   r
   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r    r!   r"   r#   r$   r%   r&   r'   r(   r)   r*   r+   r,   r-   r.   r/   r0   r1   r2   r3   r4   r5   r6   r7   r8   r9   r:   r;   r<   r=   r>   r?   r@   rA   rB   rC   rD   rE   rF   rG   rH   rI   rJ   rK   rL   rM   rN   rO   rP   rQ   rR   rS   rT   rU   rV   rW   rX   rY   rZ   r[   r\   r]   r^   r_   r`   ra   rb   rc   rd   re   rf   rg   rh   ri   rj   rk   rl   rm   rn   ro   rp   rq   rr   rs   rt   ru   rv   rw   rx   ry   rz   r{   r|   r}   r~   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r  r  r  r  r  r  r  r  r	  r
  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r   r!  r"  r#  r$  r%  r&  r'  r(  r)  r*  r+  r,  r-  r.  r/  r0  r1  r2  r3  r4  r5  r6  r7  r8  r9  r:  r;  r<  r=  r>  r?  r@  rA  rB  rC  rD  rE  rF  rG  rH  rI  rJ  rK  rL  rM  rN  rO  rP  rQ  rR  rS  rT  rU  rV  rW  rX  rY  rZ  r[  r\  r]  r^  r_  r`  ra  rb  rc  rd  re  rf  rg  rh  ri  rj  rk  rl  rm  rn  ro  rp  rq  rr  rs  rt  ru  rv  rw  rx  ry  rz  r{  r|  r}  r~  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  expr  r  r  r  r  sympy.core.addr  sympy.core.modr  sympy.core.mulr  
sympy.corer  sympy.core.numbersr  r  r  sympy.core.powerr  sympy.core.singletonr  $sympy.functions.elementary.complexesr  r  (sympy.functions.elementary.miscellaneousr  sympy.integrals.integralsr  sympy.logic.boolalgr  r  sympy.simplify.simplifyr  sympy.integrals.rubi.symbolr  sympy.core.symbolr  r  sympy.functionsr  r  r  r  r  r  r  %sympy.functions.elementary.hyperbolicr  r  r  r  r   r  r  r  r  r  r  r  (sympy.functions.elementary.trigonometricr  r	  r
  r  r  r  r  r  r  A_B_C_F_G_H_r  r  c_d_e_r  g_h_i_j_k_l_m_n_p_q_r_t_u_r  s_r  x_y_z_a1_a2_b1_b2_c1_c2_d1_d2_n1_n2_e1_e2_f1_f2_g1_g2_n3_Pq_Pm_Px_Qm_Qr_Qx_jn_mn_non2_RFx_RGx_r  iiPqqQRr  r  r5
  r  r  	ShowStepsStepCounterr;  cons1r@  cons2rD  cons3rG  cons4rJ  cons5rM  cons6rT  cons7rY  cons8r\  cons9re  cons10ri  cons11rn  cons12rr  cons13rw  cons14r}  cons15r  cons16r  cons17r  cons18r  cons19r  cons20r  cons21r  cons22r  cons23r  cons24r  cons25r  cons26r  cons27r  cons28r  cons29r  cons30r  cons31r  cons32r  cons33r  cons34r  cons35r  cons36r  cons37r  cons38r  cons39r  cons40r  cons41r  cons42r  cons43r  cons44r  cons45r  cons46r  cons47r  cons48r  cons49r  cons50r	  cons51r  cons52r  cons53r  cons54r  cons55r  cons56r  cons57r  cons58r"  cons59r%  cons60r'  cons61r)  cons62r+  cons63r.  cons64r2  cons65r5  cons66r7  cons67r9  cons68r;  cons69r@  cons70rD  cons71rG  cons72rJ  cons73rM  cons74rO  cons75rS  cons76rV  cons77rZ  cons78r]  cons79r`  cons80rc  cons81rf  cons82rj  cons83rm  cons84rs  cons85ru  cons86rw  cons87rz  cons88r|  cons89r  cons90r  cons91r  cons92r  cons93r  cons94r  cons95r  cons96r  cons97r  cons98r  cons99r  cons100r  cons101r  cons102r  cons103r  cons104r  cons105r  cons106r  cons107r  cons108r  cons109r  cons110r  cons111r  cons112r  cons113r  cons114r  cons115r  cons116r  cons117r  cons118r  cons119r  cons120r  cons121r  cons122r  cons123r  cons124r  cons125r  cons126r  cons127r  cons128r  cons129r  cons130r  cons131r  cons132r  cons133r  cons134r  cons135r  cons136r  cons137r  cons138r  cons139r	  cons140r  cons141r  cons142r  cons143r  cons144r  cons145r  cons146r   cons147r#  cons148r%  cons149r'  cons150r*  cons151r-  cons152r0  cons153r2  cons154r5  cons155r9  cons156r;  cons157r?  cons158rB  cons159rE  cons160rG  cons161rJ  cons162rM  cons163rO  cons164rR  cons165rU  cons166rW  cons167rY  cons168r[  cons169r]  cons170r_  cons171rb  cons172re  cons173rh  cons174rj  cons175rm  cons176ro  cons177rq  cons178rs  cons179ru  cons180rx  cons181r{  cons182r  cons183r  cons184r  cons185r  cons186r  cons187r  cons188r  cons189r  cons190r  cons191r  cons192r  cons193r  cons194r  cons195r  cons196r  cons197r  cons198r  cons199r  cons200r  cons201r  cons202r  cons203r  cons204r  cons205r  cons206r  cons207r  cons208r  cons209r  cons210r  cons211r  cons212r  cons213r  cons214r  cons215r  cons216r  cons217r  cons218r  cons219r  cons220r  cons221r  cons222r  cons223r  cons224r  cons225r  cons226r  cons227r  cons228r  cons229r  cons230r  cons231r  cons232r  cons233r  cons234r	  cons235r  cons236r  cons237r  cons238r  cons239r  cons240r  cons241r  cons242r  cons243r  cons244r!  cons245r#  cons246r'  cons247r*  cons248r-  cons249r0  cons250r2  cons251r5  cons252r9  cons253r<  cons254r>  cons255rA  cons256rD  cons257rG  cons258rJ  cons259rN  cons260rQ  cons261rS  cons262rU  cons263rX  cons264rZ  cons265r_  cons266rb  cons267re  cons268rg  cons269rj  cons270rl  cons271ro  cons272rq  cons273rs  cons274rv  cons275ry  cons276r}  cons277r  cons278r  cons279r  cons280r  cons281r  cons282r  cons283r  cons284r  cons285r  cons286r  cons287r  cons288r  cons289r  cons290r  cons291r  cons292r  cons293r  cons294r  cons295r  cons296r  cons297r  cons298r  cons299r  cons300r  cons301r  cons302r  cons303r  cons304r  cons305r  cons306r  cons307r  cons308r  cons309r  cons310r  cons311r  cons312r  cons313r  cons314r  cons315r  cons316r  cons317r  cons318r  cons319r  cons320r  cons321r  cons322r  cons323r  cons324r  cons325r   cons326r  cons327r  cons328r  cons329r  cons330r  cons331r  cons332r  cons333r  cons334r  cons335r  cons336r  cons337r  cons338r  cons339r  cons340r"  cons341r$  cons342r&  cons343r(  cons344r*  cons345r,  cons346r/  cons347r1  cons348r3  cons349r6  cons350r8  cons351r<  cons352r?  cons353rB  cons354rE  cons355rG  cons356rI  cons357rK  cons358rM  cons359rO  cons360rQ  cons361rS  cons362rU  cons363rW  cons364rY  cons365r]  cons366r_  cons367rc  cons368rf  cons369rh  cons370rj  cons371rl  cons372rn  cons373rp  cons374rr  cons375rt  cons376rw  cons377ry  cons378r{  cons379r}  cons380r  cons381r  cons382r  cons383r  cons384r  cons385r  cons386r  cons387r  cons388r  cons389r  cons390r  cons391r  cons392r  cons393r  cons394r  cons395r  cons396r  cons397r  cons398r  cons399r  cons400r  cons401r  cons402r  cons403r  cons404r  cons405r  cons406r  cons407r  cons408r  cons409r  cons410r  cons411r  cons412r  cons413r  cons414r  cons415r  cons416r  cons417r  cons418r  cons419r  cons420r  cons421r  cons422r  cons423r  cons424r  cons425r  cons426r  cons427r  cons428r  cons429r  cons430r  cons431r  cons432r  cons433r  cons434r  cons435r   cons436r  cons437r  cons438r  cons439r  cons440r  cons441r  cons442r  cons443r  cons444r  cons445r  cons446r  cons447r   cons448r"  cons449r$  cons450r&  cons451r(  cons452r,  cons453r0  cons454r4  cons455r6  cons456r8  cons457r;  cons458r=  cons459r?  cons460rA  cons461rC  cons462rE  cons463rH  cons464rJ  cons465rL  cons466rO  cons467rR  cons468rT  cons469rW  cons470rY  cons471r[  cons472r^  cons473r`  cons474rb  cons475re  cons476ri  cons477rk  cons478rm  cons479ro  cons480rq  cons481rs  cons482ru  cons483rw  cons484ry  cons485r{  cons486r}  cons487r  cons488r  cons489r  cons490r  cons491r  cons492r  cons493r  cons494r  cons495r  cons496r  cons497r  cons498r  cons499r  cons500r  cons501r  cons502r  cons503r  cons504r  cons505r  cons506r  cons507r  cons508r  cons509r  cons510r  cons511r  cons512r  cons513r  cons514r  cons515r  cons516r  cons517r  cons518r  cons519r  cons520r  cons521r  cons522r  cons523r  cons524r  cons525r  cons526r  cons527r  cons528r  cons529r  cons530r  cons531r  cons532r  cons533r  cons534r  cons535r  cons536r  cons537r  cons538r  cons539r  cons540r  cons541r  cons542r  cons543r  cons544r  cons545r  cons546r  cons547r  cons548r  cons549r	  cons550r  cons551r  cons552r  cons553r  cons554r  cons555r  cons556r  cons557r  cons558r  cons559r   cons560r"  cons561r$  cons562r'  cons563r+  cons564r-  cons565r/  cons566r2  cons567r4  cons568r6  cons569r8  cons570r<  cons571r>  cons572r@  cons573rB  cons574rE  cons575rG  cons576rI  cons577rK  cons578rM  cons579rO  cons580rR  cons581rV  cons582rY  cons583r\  cons584r_  cons585ra  cons586rd  cons587rf  cons588ri  cons589rl  cons590rn  cons591rp  cons592rr  cons593rt  cons594rw  cons595ry  cons596r{  cons597r}  cons598r  cons599r  cons600r  cons601r  cons602r  cons603r  cons604r  cons605r  cons606r  cons607r  cons608r  cons609r  cons610r  cons611r  cons612r  cons613r  cons614r  cons615r  cons616r  cons617r  cons618r  cons619r  cons620r  cons621r  cons622r  cons623r  cons624r  cons625r  cons626r  cons627r  cons628r  cons629r  cons630r  cons631r  cons632r  cons633r  cons634r  cons635r  cons636r  cons637r  cons638r  cons639r  cons640r  cons641r  cons642r  cons643r  cons644r  cons645r  cons646r  cons647r  cons648r  cons649r  cons650r  cons651r  cons652r  cons653r 	  cons654r	  cons655r	  cons656r	  cons657r	  cons658r
	  cons659r	  cons660r	  cons661r	  cons662r	  cons663r	  cons664r	  cons665r	  cons666r	  cons667r	  cons668r	  cons669r 	  cons670r"	  cons671r%	  cons672r'	  cons673r)	  cons674r,	  cons675r.	  cons676r0	  cons677r2	  cons678r4	  cons679r6	  cons680r8	  cons681r:	  cons682r<	  cons683r>	  cons684r@	  cons685rB	  cons686rD	  cons687rF	  cons688rH	  cons689rJ	  cons690rM	  cons691rO	  cons692rQ	  cons693rS	  cons694rV	  cons695rX	  cons696rZ	  cons697r\	  cons698r^	  cons699r`	  cons700rb	  cons701rd	  cons702rf	  cons703rh	  cons704rk	  cons705rm	  cons706ro	  cons707rs	  cons708ru	  cons709rw	  cons710rz	  cons711r|	  cons712r~	  cons713r	  cons714r	  cons715r	  cons716r	  cons717r	  cons718r	  cons719r	  cons720r	  cons721r	  cons722r	  cons723r	  cons724r	  cons725r	  cons726r	  cons727r	  cons728r	  cons729r	  cons730r	  cons731r	  cons732r	  cons733r	  cons734r	  cons735r	  cons736r	  cons737r	  cons738r	  cons739r	  cons740r	  cons741r	  cons742r	  cons743r	  cons744r	  cons745r	  cons746r	  cons747r	  cons748r	  cons749r	  cons750r	  cons751r	  cons752r	  cons753r	  cons754r	  cons755r	  cons756r	  cons757r	  cons758r	  cons759r	  cons760r	  cons761r	  cons762r	  cons763r	  cons764r	  cons765r	  cons766r	  cons767r	  cons768r	  cons769r	  cons770r	  cons771r
  cons772r
  cons773r
  cons774r
  cons775r	
  cons776r
  cons777r
  cons778r
  cons779r
  cons780r
  cons781r
  cons782r
  cons783r
  cons784r 
  cons785r"
  cons786r$
  cons787r&
  cons788r(
  cons789r*
  cons790r,
  cons791r.
  cons792r1
  cons793r3
  cons794r6
  cons795r8
  cons796r;
  cons797r=
  cons798r?
  cons799rA
  cons800rE
  cons801rG
  cons802rJ
  cons803rM
  cons804rO
  cons805rR
  cons806rV
  cons807rX
  cons808rZ
  cons809r\
  cons810r^
  cons811ra
  cons812re
  cons813rh
  cons814rj
  cons815rm
  cons816ro
  cons817rr
  cons818rv
  cons819ry
  cons820r{
  cons821r~
  cons822r
  cons823r
  cons824r
  cons825r
  cons826r
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  cons828r
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  cons831r
  cons832r
  cons833r
  cons834r
  cons835r
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  cons837r
  cons838r
  cons839r
  cons840r
  cons841r
  cons842r
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  cons848r
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  cons851r
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  cons865r
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  cons867r
  cons868r
  cons869r   cons870r  cons871r  cons872r  cons873r
  cons874r  cons875r  cons876r  cons877r  cons878r  cons879r  cons880r  cons881r  cons882r  cons883r  cons884r   cons885r#  cons886r%  cons887r(  cons888r*  cons889r,  cons890r.  cons891r0  cons892r2  cons893r4  cons894r6  cons895r8  cons896r:  cons897r<  cons898r>  cons899r@  cons900rB  cons901rD  cons902rF  cons903rH  cons904rJ  cons905rM  cons906rO  cons907rR  cons908rV  cons909rY  cons910r[  cons911r]  cons912r_  cons913ra  cons914rc  cons915re  cons916rg  cons917ri  cons918rk  cons919rm  cons920ro  cons921rq  cons922rt  cons923rv  cons924rx  cons925rz  cons926r|  cons927r~  cons928r  cons929r  cons930r  cons931r  cons932r  cons933r  cons934r  cons935r  cons936r  cons937r  cons938r  cons939r  cons940r  cons941r  cons942r  cons943r  cons944r  cons945r  cons946r  cons947r  cons948r  cons949r  cons950r  cons951r  cons952r  cons953r  cons954r  cons955r  cons956r  cons957r  cons958r  cons959r  cons960r  cons961r  cons962r  cons963r  cons964r  cons965r  cons966r  cons967r  cons968r  cons969r  cons970r  cons971r  cons972r  cons973r  cons974r  cons975r  cons976r  cons977r  cons978r  cons979r  cons980r  cons981r  cons982r  cons983r  cons984r  cons985r   cons986r  cons987r  cons988r  cons989r  cons990r  cons991r  cons992r  cons993r  cons994r  cons995r  cons996r  cons997r  cons998r  cons999r   cons1000r%  cons1001r'  cons1002r*  cons1003r,  cons1004r.  cons1005r0  cons1006r2  cons1007r4  cons1008r7  cons1009r:  cons1010r<  cons1011r>  cons1012rA  cons1013rC  cons1014rF  cons1015rJ  cons1016rM  cons1017rO  cons1018rQ  cons1019rS  cons1020rU  cons1021rW  cons1022rY  cons1023r[  cons1024r]  cons1025r_  cons1026ra  cons1027rd  cons1028rg  cons1029ri  cons1030rm  cons1031rp  cons1032rr  cons1033rt  cons1034rv  cons1035rx  cons1036r|  cons1037r~  cons1038r  cons1039r  cons1040r  cons1041r  cons1042r  cons1043r  cons1044r  cons1045r  cons1046r  cons1047r  cons1048r  cons1049r  cons1050r  cons1051r  cons1052r  cons1053r  cons1054r  cons1055r  cons1056r  cons1057r  cons1058r  cons1059r  cons1060r  cons1061r  cons1062r  cons1063r  cons1064r  cons1065r  cons1066r  cons1067r  cons1068r  cons1069r  cons1070r  cons1071r  cons1072r  cons1073r  cons1074r  cons1075r  cons1076r  cons1077r  cons1078r  cons1079r  cons1080r  cons1081r  cons1082r  cons1083r  cons1084r  cons1085r  cons1086r  cons1087r  cons1088r  cons1089r  cons1090r  cons1091r  cons1092r  cons1093r  cons1094r  cons1095r   cons1096r  cons1097r  cons1098r  cons1099r  cons1100r  cons1101r  cons1102r  cons1103r  cons1104r  cons1105r  cons1106r   cons1107r"  cons1108r$  cons1109r&  cons1110r(  cons1111r*  cons1112r,  cons1113r.  cons1114r0  cons1115r2  cons1116r4  cons1117r6  cons1118r8  cons1119r:  cons1120r<  cons1121r>  cons1122r@  cons1123rC  cons1124rF  cons1125rH  cons1126rJ  cons1127rL  cons1128rN  cons1129rQ  cons1130rS  cons1131rU  cons1132rW  cons1133rY  cons1134r[  cons1135r]  cons1136r`  cons1137rb  cons1138rd  cons1139rg  cons1140rk  cons1141rm  cons1142ro  cons1143rq  cons1144rs  cons1145ru  cons1146rw  cons1147ry  cons1148r|  cons1149r~  cons1150r  cons1151r  cons1152r  cons1153r  cons1154r  cons1155r  cons1156r  cons1157r  cons1158r  cons1159r  cons1160r  cons1161r  cons1162r  cons1163r  cons1164r  cons1165r  cons1166r  cons1167r  cons1168r  cons1169r  cons1170r  cons1171r  cons1172r  cons1173r  cons1174r  cons1175r  cons1176r  cons1177r  cons1178r  cons1179r  cons1180r  cons1181r  cons1182r  cons1183r  cons1184r  cons1185r  cons1186r  cons1187r  cons1188r  cons1189r  cons1190r  cons1191r  cons1192r  cons1193r  cons1194r  cons1195r  cons1196r  cons1197r  cons1198r  cons1199r  cons1200r  cons1201r  cons1202r  cons1203r  cons1204r  cons1205r
  cons1206r  cons1207r  cons1208r  cons1209r  cons1210r  cons1211r  cons1212r  cons1213r  cons1214r   cons1215r"  cons1216r$  cons1217r&  cons1218r)  cons1219r+  cons1220r-  cons1221r/  cons1222r1  cons1223r3  cons1224r6  cons1225r9  cons1226r;  cons1227r=  cons1228r?  cons1229rA  cons1230rC  cons1231rG  cons1232rI  cons1233rL  cons1234rN  cons1235rQ  cons1236rT  cons1237rV  cons1238rX  cons1239r]  cons1240r_  cons1241ra  cons1242rc  cons1243re  cons1244rg  cons1245ri  cons1246rk  cons1247rm  cons1248ro  cons1249rq  cons1250rs  cons1251ru  cons1252ry  cons1253r{  cons1254r}  cons1255r  cons1256r  cons1257r  cons1258r  cons1259r  cons1260r  cons1261r  cons1262r  cons1263r  cons1264r  cons1265r  cons1266r  cons1267r  cons1268r  cons1269r  cons1270r  cons1271r  cons1272r  cons1273r  cons1274r  cons1275r  cons1276r  cons1277r  cons1278r  cons1279r  cons1280r  cons1281r  cons1282r  cons1283r  cons1284r  cons1285r  cons1286r  cons1287r  cons1288r  cons1289r  cons1290r  cons1291r  cons1292r  cons1293r  cons1294r  cons1295r  cons1296r  cons1297r  cons1298r  cons1299r  cons1300r  cons1301r  cons1302r  cons1303r  cons1304r  cons1305r  cons1306r  cons1307r  cons1308r  cons1309r  cons1310r   cons1311r  cons1312r  cons1313r  cons1314r
  cons1315r  cons1316r  cons1317r  cons1318r  cons1319r  cons1320r  cons1321r  cons1322r  cons1323r  cons1324r!  cons1325r#  cons1326r%  cons1327r'  cons1328r)  cons1329r,  cons1330r.  cons1331r0  cons1332r2  cons1333r4  cons1334r6  cons1335r8  cons1336r;  cons1337r>  cons1338r@  cons1339rB  cons1340rD  cons1341rF  cons1342rH  cons1343rJ  cons1344rM  cons1345rP  cons1346rR  cons1347rU  cons1348rW  cons1349rY  cons1350r\  cons1351r^  cons1352r`  cons1353rb  cons1354rd  cons1355rf  cons1356rh  cons1357rj  cons1358rl  cons1359rn  cons1360rp  cons1361rr  cons1362rt  cons1363rv  cons1364rx  cons1365rz  cons1366r|  cons1367r~  cons1368r  cons1369r  cons1370r  cons1371r  cons1372r  cons1373r  cons1374r  cons1375r  cons1376r  cons1377r  cons1378r  cons1379r  cons1380r  cons1381r  cons1382r  cons1383r  cons1384r  cons1385r  cons1386r  cons1387r  cons1388r  cons1389r  cons1390r  cons1391r  cons1392r  cons1393r  cons1394r  cons1395r  cons1396r  cons1397r  cons1398r  cons1399r  cons1400r  cons1401r  cons1402r  cons1403r  cons1404r  cons1405r  cons1406r  cons1407r  cons1408r  cons1409r  cons1410r  cons1411r  cons1412r  cons1413r  cons1414r  cons1415r  cons1416r  cons1417r  cons1418r  cons1419r  cons1420r  cons1421r  cons1422r  cons1423r  cons1424r  cons1425r  cons1426r  cons1427r  cons1428r   cons1429r  cons1430r  cons1431r  cons1432r	  cons1433r  cons1434r  cons1435r  cons1436r  cons1437r  cons1438r  cons1439r  cons1440r  cons1441r  cons1442r"  cons1443r%  cons1444r'  cons1445r)  cons1446r+  cons1447r-  cons1448r/  cons1449r1  cons1450r4  cons1451r6  cons1452r8  cons1453r:  cons1454r<  cons1455r>  cons1456r@  cons1457rB  cons1458rD  cons1459rG  cons1460rJ  cons1461rN  cons1462rP  cons1463rR  cons1464rU  cons1465rX  cons1466r[  cons1467r_  cons1468ra  cons1469rc  cons1470rf  cons1471ri  cons1472rk  cons1473rm  cons1474rq  cons1475rs  cons1476ru  cons1477rx  cons1478rz  cons1479r|  cons1480r  cons1481r  cons1482r  cons1483r  cons1484r  cons1485r  cons1486r  cons1487r  cons1488r  cons1489r  cons1490r  cons1491r  cons1492r  cons1493r  cons1494r  cons1495r  cons1496r  cons1497r  cons1498r  cons1499r  cons1500r  cons1501r  cons1502r  cons1503r  cons1504r  cons1505r  cons1506r  cons1507r  cons1508r  cons1509r  cons1510r  cons1511r  cons1512r  cons1513r  cons1514r  cons1515r  cons1516r  cons1517r  cons1518r  cons1519r  cons1520r  cons1521r  cons1522r  cons1523r  cons1524r  cons1525r  cons1526r  cons1527r  cons1528r  cons1529r  cons1530r  cons1531r  cons1532r  cons1533r  cons1534r  cons1535r  cons1536r  cons1537r  cons1538r  cons1539r  cons1540r  cons1541r  cons1542r  cons1543r  cons1544r  cons1545r	  cons1546r  cons1547r  cons1548r  cons1549r  cons1550r  cons1551r  cons1552r  cons1553r  cons1554r  cons1555r  cons1556r   cons1557r"  cons1558r$  cons1559r&  cons1560r(  cons1561r*  cons1562r,  cons1563r.  cons1564r0  cons1565r2  cons1566r4  cons1567r6  cons1568r8  cons1569r:  cons1570r<  cons1571r>  cons1572r@  cons1573rB  cons1574rD  cons1575rF  cons1576rH  cons1577rJ  cons1578rL  cons1579rO  cons1580rR  cons1581rT  cons1582rV  cons1583rX  cons1584rZ  cons1585r\  cons1586r^  cons1587r`  cons1588rb  cons1589rd  cons1590rf  cons1591rh  cons1592rj  cons1593rl  cons1594rn  cons1595rp  cons1596rr  cons1597ru  cons1598rw  cons1599ry  cons1600r{  cons1601r}  cons1602r  cons1603r  cons1604r  cons1605r  cons1606r  cons1607r  cons1608r  cons1609r  cons1610r  cons1611r  cons1612r  cons1613r  cons1614r  cons1615r  cons1616r  cons1617r  cons1618r  cons1619r  cons1620r  cons1621r  cons1622r  cons1623r  cons1624r  cons1625r  cons1626r  cons1627r  cons1628r  cons1629r  cons1630r  cons1631r  cons1632r  cons1633r  cons1634r  cons1635r  cons1636r  cons1637r  cons1638r  cons1639r  cons1640r  cons1641r  cons1642r  cons1643r  cons1644r  cons1645r  cons1646r  cons1647r  cons1648r  cons1649r  cons1650r  cons1651r  cons1652r  cons1653r  cons1654r  cons1655r  cons1656r  cons1657r  cons1658r  cons1659r  cons1660r  cons1661r  cons1662r  cons1663r  cons1664r  cons1665r  cons1666r  cons1667r  cons1668r	  cons1669r  cons1670r  cons1671r  cons1672r  cons1673r  cons1674r  cons1675r  cons1676r  cons1677r  cons1678r!  cons1679r$  cons1680r&  cons1681r(  cons1682r*  cons1683r,  cons1684r.  cons1685r0  cons1686r2  cons1687r5  cons1688r7  cons1689r9  cons1690r;  cons1691r>  cons1692r@  cons1693rD  cons1694rG  cons1695rJ  cons1696rM  cons1697rO  cons1698rQ  cons1699rS  cons1700rU  cons1701rW  cons1702rZ  cons1703r]  cons1704r_  cons1705ra  cons1706rc  cons1707rf  cons1708ri  cons1709rl  cons1710rn  cons1711rq  cons1712rs  cons1713ru  cons1714rx  cons1715r{  cons1716r  cons1717r  cons1718r  cons1719r  cons1720r  cons1721r  cons1722r  cons1723r  cons1724r  cons1725r  cons1726r  cons1727r  cons1728r  cons1729r  cons1730r  cons1731r  cons1732r  cons1733r  cons1734r  cons1735r  cons1736r  cons1737r  cons1738r  cons1739r  cons1740r  cons1741r  cons1742r  cons1743r  cons1744r  cons1745r  cons1746r  cons1747r  cons1748r  cons1749r  cons1750r  cons1751r  cons1752r  cons1753r  cons1754r  cons1755r  cons1756r  cons1757r  cons1758r  cons1759r  cons1760r  cons1761r  cons1762r  cons1763r  cons1764r  cons1765r  cons1766r  cons1767r  cons1768r  cons1769r  cons1770r  cons1771r  cons1772r  cons1773r	  cons1774r  cons1775r  cons1776r  cons1777r  cons1778r  cons1779r  cons1780r  cons1781r  cons1782r  cons1783r  cons1784r   cons1785r"  cons1786r$  cons1787r&  cons1788r(  cons1789r*  cons1790r.  cons1791r0  cons1792r3  cons1793r5  cons1794r7  cons1795r9  cons1796r<  cons1797r>  cons1798r@  cons1799rB  cons1800rD  cons1801rF  cons1802rH  cons1803rK  cons1804rM  cons1805rO  cons1806rR  cons1807rT  cons1808rV  cons1809rY  cons1810r\  cons1811r_  cons1812ra  cons1813rd  cons1814rf  cons1815rh  cons1816rj  cons1817rl  cons1818rn  cons1819rp  cons1820rr  cons1821rv  cons1822ry  cons1823r{  cons1824r}  cons1825r  cons1826r  cons1827r  cons1828r  cons1829r  cons1830r  cons1831r  cons1832r  cons1833r  cons1834r  cons1835r  cons1836r  cons1837r  cons1838r  cons1839r  cons1840r  cons1841r  cons1842r  cons1843r  cons1844r  cons1845r  cons1846r  cons1847r  cons1848r  cons1849r  cons1850r  cons1851r  cons1852r  cons1853r  cons1854r  cons1855r  cons1856r  cons1857r  cons1858r  cons1859r  cons1860r  cons1861r  cons1862r  cons1863r  cons1864r  cons1865r  cons1866r  cons1867r  cons1868r  cons1869r  cons1870r  cons1871r   cons1872r  cons1873r  cons1874r  cons1875r  cons1876r
  cons1877r  cons1878r  cons1879r  cons1880r  cons1881r  cons1882r  cons1883r  cons1884r  cons1885r  cons1886r  cons1887r!  cons1888r#  cons1889r%  cons1890r'  cons1891r)  cons1892r+  cons1893r-  cons1894r/  cons1895r1  cons1896r3  cons1897r6  cons1898r8  cons1899r:  cons1900r<  cons1901r>  cons1902r@  cons1903rB  cons1904rD  cons1905rF  cons1906rK  cons1907rP  cons1908rR  cons1909rT  cons1910rV  cons1911rX  cons1912rZ  cons1913r\  cons1914r^  cons1915r`  cons1916rb  cons1917rd  cons1918rg  cons1919ri  cons1920rk  cons1921rm  cons1922ro  cons1923rq  cons1924rs  cons1925ru  cons1926rw  cons1927ry  cons1928r{  cons1929r}  cons1930r  cons1931r  cons1932r  cons1933r  cons1934r  cons1935r  cons1936r  cons1937r  cons1938r  cons1939r  cons1940r  cons1941r  cons1942r  cons1943r  cons1944r  cons1945r  cons1946r  cons1947r  cons1948r  cons1949r  cons1950r  cons1951r  cons1952r  cons1953r  cons1954r  cons1955r  cons1956r  cons1957r  cons1958r  cons1959r  cons1960r  cons1961r  cons1962r  cons1963r  cons1964r  cons1965r  cons1966r  cons1967r  cons1968r  cons1969r  cons1970r  cons1971r  cons1972r  cons1973r  cons1974r  cons1975r  cons1976r  cons1977r  cons1978r  cons1979r  cons1980r  cons1981r  cons1982r  cons1983r  cons1984r  cons1985r  cons1986r	  cons1987r  cons1988r  cons1989r  cons1990r  cons1991r  cons1992r  cons1993r  cons1994r  cons1995r  cons1996r  cons1997r  cons1998r"  cons1999r$  cons2000r&  cons2001r(  cons2002r*  cons2003r/  cons2004r1  cons2005r3  cons2006r5  cons2007r7  cons2008r9  cons2009r;  cons2010r>  cons2011r@  cons2012rB  cons2013rD  cons2014rF  cons2015rH  cons2016rJ  cons2017rL  cons2018rN  cons2019rP  cons2020rR  cons2021rT  cons2022rV  cons2023rX  cons2024rZ  cons2025r\  cons2026r^  cons2027r`  cons2028rb  cons2029rd  cons2030rf  cons2031rh  cons2032rj  cons2033rl  cons2034rn  cons2035rp  cons2036rr  cons2037rt  cons2038rv  cons2039r  r  r  <module>r     sn%  
 ) ( ( ( ( (
-	
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 dm,LLLLLLLLLLLLm m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m\ #"""""""""""""""""%%%%%%6666666666$$$$$$&&&&&&@@@@@@@@======222222--------000000......11111111IIIIIIIIIIIIIIIIIIII E  E  E  E  E  E  E  E  E  E  E  E  E  E  E  E  E  E  E  E  E  E  E  E  E  E  E  Edddddddddddddddddd++++++ Bt  Bt  Rs  Bt  Bt  Bt~BBBBBBBBBBPRTVXZ\^`bdfhjlnprtvxz|~ `i  `i  ph  `i  `i  `i  ]Cc3S#sCc3S#sTWY\^acfhkmpruwz|  BE  GJ  LQ  SW  Y]#*7+A#B#B Ar31aAqIIK   W%%E   W%%E   W%%E   W%%E   W%%E   W%%E! ! ! W%%E   W%%E   W%%E     
 h''F  
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 h''F   h''F   h''F1 1 1 h''FA A A h''F   h''F# # # h''F4 4 4 h''F   h''F   h''F   h''F   h''F   h''F      h''F. . . h''F   h''F, , , h''F   h''F   h''F* * * h''F# # # h''F& & & h''F   h''F   h''F   h''F   h''F   h''F# # # h''F" " " h''F$ $ $ h''F( ( ( h''F   h''F   h''F   h''F   h''F  
 h''F# # # h''F# # # h''F  
 h''F  
 h''F" " " h''F$ $ $
 h''F  
 h''F  
 h''F      h''F$ $ $ h''F# # # h''F, , , h''F, , , h''F@ @ @ h''F   h''F% % % h''F   h''F$ $ $ h''F$ $ $ h''F      h''F      h''FV V V h''F# # # h''F   h''FG G G h''F   h''F      h''F   h''F$ $ $ h''F$ $ $ h''F$ $ $ h''F   h''F   h''F7 7 7 h''FA A A h''F0 0 0
 h''Fa a a y))G+ + + y))GU U U y))GC C C y))G   y))G      y))G% % % y))G   y))G   y))G$ $ $ y))G5 5 5 y))G   y))G   y))G) ) ) y))G9 9 9 y))G. . . y))GC C C y))G~ ~ ~ y))G4 4 4 y))G! ! ! y))G( ( ( y))Go o o y))G) ) ) y))GT T T y))GC C C y))G1 1 1
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 y))G' ' ' y))GI I I y))G' ' ' y))GM M M y))GK K K y))G" " " y))G      y))G_ _ _ y))G      y))G      y))G* * * y))G      y))Gc c c y))G1 1 1 y))G: : : y))G. . . y))GF F F y))G* * * y))G/ / / y))G$ $ $ y))G   y))G   y))G$ $ $ y))G   y))G4 4 4 y))G) ) ) y))G/ / / y))GK K K
 y))GN N N y))G4 4 4 y))G* * * y))G* * *
 y))GJ J J y))G@ @ @ y))G2 2 2 y))G' ' ' y))G? ? ? y))G2 2 2 y))GU U U y))G# # # y))G- - - y))G# # # y))G: : : y))GN N N
 y))G. . . y))G/ / /
 y))Gi i i
 y))Gh h h
 y))G. . . y))G/ / /
 y))G8 8 8 y))G   y))G   y))GI I I y))Gw w w y))Gi i i y))G& & & y))G& & & y))G> > > y))G6 6 6
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 y))G* * *
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 y))GH H H
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 y))G5 5 5 y))G% % % y))G) ) ) y))G( ( ( y))G+ + + y))G) ) ) y))G( ( ( y))G" " " y))G( ( ( y))G$ $ $ y))G   y))G< < < y))G      y))G   y))G_ _ _ y))G$ $ $ y))G6 6 6 y))G< < < y))G: : : y))G& & & y))Ga a a y))G1 1 1 y))G4 4 4 y))G, , , y))GQ Q Q y))G8 8 8 y))G      y))G! ! ! y))G' ' ' y))G3 3 3 y))G< < < y))GZ Z Z y))G% % % y))G   y))G   y))G< < < y))G+ + + y))GA A A y))G6 6 6 y))Gc c c y))G8 8 8 y))G2 2 2 y))G$ $ $ y))GM M M y))Gc c c y))G7 7 7 y))G/ / / y))G< < < y))G. . . y))G   y))G3 3 3 y))G$ $ $ y))G1 1 1 y))G; ; ; y))G      y))G      y))G. . . y))G$ $ $ y))G& & & y))G   y))G   y))G( ( ( y))G. . . y))G* * *
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 y))GN N N y))GR R R y))G: : : y))G% % % y))Gi i i y))G, , , y))G   y))G? ? ? y))G, , , y))G- - - y))G' ' ' y))G      y))G$ $ $ y))G   y))GH H H y))G( ( ( y))GC C C y))G1 1 1 y))G$ $ $ y))GV V V y))G@ @ @ y))G6 6 6 y))G% % % y))G6 6 6 y))G" " " y))G? ? ? y))G$ $ $ y))GN N N y))G2 2 2 y))Go o o y))G4 4 4 y))G! ! ! y))G( ( ( y))G   y))G& & & y))G8 8 8 y))Gj j j y))GG G G y))G_ _ _ y))GB B B y))G   y))GD D D
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