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var Ad=function(a,b){if(Bd(a))return a;if(Bd(b))return b;var c=a.g>>>16,d=a.g&65535,e=a.h>>>16;a=a.h&65535;var f=b.g>>>16,g=b.g&65535,h=b.h>>>16;b=b.h&65535;var k=a*b;var l=(k>>>16)+e*b;var q=l>>>16;l=(l&65535)+a*h;q+=l>>>16;q+=d*b;var y=q>>>16;q=(q&65535)+e*h;y+=q>>>16;q=(q&65535)+a*g;y=y+(q>>>16)+(c*b+d*h+e*g+a*f)&65535;return S((l&65535)<<16|k&65535,y<<16|q&65535)},zd=function(a,b){if(Bd(b))throw Error("s");if(0>a.g){if(Cd(a,Ed)){if(Cd(b,Fd)||Cd(b,Gd))return Ed;if(Cd(b,Ed))return Fd;var c=1;if(0==
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g=Ad(f,b);Bd(f)&&(f=Fd);d=d.add(f);a=a.add(T(g))}return d};R.prototype.and=function(a){return S(this.h&a.h,this.g&a.g)};R.prototype.or=function(a){return S(this.h|a.h,this.g|a.g)};R.prototype.xor=function(a){return S(this.h^a.h,this.g^a.g)};var Id=function(a){return 0<a?0x7fffffffffffffff<=a?Jd:new R(a,a/4294967296):0>a?-9223372036854775808>=a?Ed:T(new R(-a,-a/4294967296)):Hd},S=function(a,b){return new R(a,b)},Hd=S(0,0),Fd=S(1,0),Gd=S(-1,-1),Jd=S(4294967295,2147483647),Ed=S(0,2147483648);
/*
 Portions of this code are from MochiKit, received by
 The Closure Authors under the MIT license. All other code is Copyright
 2005-2009 The Closure Authors. All Rights Reserved.
*/
/*

 Copyright 2013 Google Inc. All rights reserved.
 Licensed under the Apache License, Version 2.0 (the "License");
 you may not use this file except in compliance with the License.
 You may obtain a copy of the License at

   http://www.apache.org/licenses/LICENSE-2.0

 Unless required by applicable law or agreed to in writing, software
 distributed under the License is distributed on an "AS IS" BASIS,
 WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 See the License for the specific language governing permissions and
 limitations under the License.
*/
var Kd=function(a){m.call(this,a)};u(Kd,m);var Ld=function(a){m.call(this,a)};u(Ld,Kd);
/*

 Copyright 2012 Google Inc. All rights reserved.
 Licensed under the Apache License, Version 2.0 (the "License");
 you may not use this file except in compliance with the License.
 You may obtain a copy of the License at

   http://www.apache.org/licenses/LICENSE-2.0

 Unless required by applicable law or agreed to in writing, software
 distributed under the License is distributed on an "AS IS" BASIS,
 WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 See the License for the specific language governing permissions and
 limitations under the License.
*/
var Md=function(a){var b=[];Ia(a,function(c){b.push(c>>>24&255);b.push(c>>>16&255);b.push(c>>>8&255);b.push(c&255)});return b},Nd=function(a){for(var b=1,c=0;c<a.length;c++){var d=a[c];b&=("number"==typeof d&&0<=d&&255>=d&&0==d-Math.floor(d))|0}return 1==b};
var Od=function(){this.g=null},Pd=function(){this.g=null};u(Pd,Od);
var Qd=function(){};
var Rd=function(){this.h=-1};
var Sd=function(){this.h=64;this.g=[];this.u=[];this.B=[];this.o=[];this.o[0]=128;for(var a=1;a<this.h;++a)this.o[a]=0;this.m=this.j=0;this.reset()};u(Sd,Rd);Sd.prototype.reset=function(){this.g[0]=1732584193;this.g[1]=4023233417;this.g[2]=2562383102;this.g[3]=271733878;this.g[4]=3285377520;this.m=this.j=0};
var Td=function(a,b,c){c||(c=0);var d=a.B;if("string"===typeof b)for(var e=0;16>e;e++)d[e]=b.charCodeAt(c)<<24|b.charCodeAt(c+1)<<16|b.charCodeAt(c+2)<<8|b.charCodeAt(c+3),c+=4;else for(e=0;16>e;e++)d[e]=b[c]<<24|b[c+1]<<16|b[c+2]<<8|b[c+3],c+=4;for(e=16;80>e;e++){var f=d[e-3]^d[e-8]^d[e-14]^d[e-16];d[e]=(f<<1|f>>>31)&4294967295}b=a.g[0];c=a.g[1];var g=a.g[2],h=a.g[3],k=a.g[4];for(e=0;80>e;e++){if(40>e)if(20>e){f=h^c&(g^h);var l=1518500249}else f=c^g^h,l=1859775393;else 60>e?(f=c&g|h&(c|g),l=2400959708):
(f=c^g^h,l=3395469782);f=(b<<5|b>>>27)+f+k+l+d[e]&4294967295;k=h;h=g;g=(c<<30|c>>>2)&4294967295;c=b;b=f}a.g[0]=a.g[0]+b&4294967295;a.g[1]=a.g[1]+c&4294967295;a.g[2]=a.g[2]+g&4294967295;a.g[3]=a.g[3]+h&4294967295;a.g[4]=a.g[4]+k&4294967295};
Sd.prototype.i=function(a,b){if(null!=a){void 0===b&&(b=a.length);for(var c=b-this.h,d=0,e=this.u,f=this.j;d<b;){if(0==f)for(;d<=c;)Td(this,a,d),d+=this.h;if("string"===typeof a)for(;d<b;){if(e[f]=a.charCodeAt(d),++f,++d,f==this.h){Td(this,e);f=0;break}}else for(;d<b;)if(e[f]=a[d],++f,++d,f==this.h){Td(this,e);f=0;break}}this.j=f;this.m+=b}};
Sd.prototype.l=function(){var a=[],b=8*this.m;56>this.j?this.i(this.o,56-this.j):this.i(this.o,this.h-(this.j-56));for(var c=this.h-1;56<=c;c--)this.u[c]=b&255,b/=256;Td(this,this.u);for(c=b=0;5>c;c++)for(var d=24;0<=d;d-=8)a[b]=this.g[c]>>d&255,++b;return a};
/*

 Copyright 2014 Google Inc. All rights reserved.
 Licensed under the Apache License, Version 2.0 (the "License");
 you may not use this file except in compliance with the License.
 You may obtain a copy of the License at

   http://www.apache.org/licenses/LICENSE-2.0

 Unless required by applicable law or agreed to in writing, software
 distributed under the License is distributed on an "AS IS" BASIS,
 WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 See the License for the specific language governing permissions and
 limitations under the License.
*/
var Ud=function(a,b){return(-(a>b|0)|0)&(a^b)^b};
/*

 Copyright 2011 Google Inc. All rights reserved.
 Licensed under the Apache License, Version 2.0 (the "License");
 you may not use this file except in compliance with the License.
 You may obtain a copy of the License at

   http://www.apache.org/licenses/LICENSE-2.0

 Unless required by applicable law or agreed to in writing, software
 distributed under the License is distributed on an "AS IS" BASIS,
 WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 See the License for the specific language governing permissions and
 limitations under the License.
*/
var U=function(a){this.g=[];if(void 0!==a){if(!("function"===typeof r.Uint8Array&&a instanceof Uint8Array||Nd(a)))throw new Ld("Input should be a byte array.");for(var b=a.length,c=Array((b+2)/3|0),d=0;0<=b;b-=3)c[d++]=a[b-1]&255|(a[b-2]&255)<<8|(a[b-3]&255)<<16;this.g=c}this.h=0},V=function(a){var b=new U;b.g.length=a;return b},Vd=function(a){var b=new U;b.g=fa(a);return b},Wd=function(a){if(0>a||281474976710656<a)throw new Ld("Argument must be a valid integer.");var b=new U;do b.g.push(a&16777215),
a=Math.floor(a/16777216);while(0<a);return b},Xd=function(a,b,c){c=-c|0;for(var d=Ud(a.g.length,b.g.length),e=V(d),f=0;f<d;++f)e.g[f]=c&(a.g[f]^b.g[f]);for(f=0;f<d;++f)e.g[f]^=b.g[f];return e},Yd=function(a){for(var b=a.g.length,c=0,d=Array(3*b);0<b;--b)d[c++]=a.g[b-1]>>>16&255,d[c++]=a.g[b-1]>>>8&255,d[c++]=a.g[b-1]&255;for(c=b=a=0;c<d.length;++c)b|=d[c],a+=!b&!d[c];return d.slice(a-(1&!b))};
U.prototype.toString=function(){var a=[],b=this,c=Wd(1E6);do b=Zd(b,c),a.unshift(b.V.g[0]),b=b.Z,$d(b);while(!ae(b));return a.map(function(d,e){return 0==e||1E6<d?""+d:("000000"+d).slice(-6)}).join("")};var $d=function(a){for(var b=0,c=0,d=a.g.length-1;0<d;--d)c|=a.g[d],b+=!c&!a.g[d];a.g.length-=b;return a},be=function(a){if(0==a.h){for(var b=0,c=0,d=a.g.length-1;0<d;--d)c|=a.g[d],b+=!c&!a.g[d];c=a.g.length-b;b=24*c;c=a.g[c-1];for(c|=!c;0==(c&8388608);)c<<=1,--b;a=a.h=b}else a=a.h;return a};
U.prototype.add=function(a){for(var b=Ud(this.g.length,a.g.length),c=V(b+1),d=0,e=0;e<b;++e)d+=(this.g[e]|0)+(a.g[e]|0),c.g[e]=d&16777215,d>>=24;c.g[b]=d;return c};
var Zd=function(a,b){var c=be(b),d=(c+24-1)/24|0;c=24*d-c;b=ce(b,c);var e=Xd(Vd(a.g),ce(a,c),0==c|0);a=Xd(de,V(e.g.length+1),0>=e.g.length+1-d|0);e.g.push(0);for(var f=e.g.length-d-1;0<=f;f--){var g=b.g.length,h=16777216*e.g[g+f]+e.g[g+f-1];var k=b.g[g-1];var l=Math.floor(h/k);k=l-(16777216==l|l*(b.g[g-2]|0)>16777216*(h-l*k)+(e.g[g+f-2]|0));g=0;a.g[f]=k;for(h=0;h<=d;h++)g+=e.g[h+f]-(b.g[h]|0)*k,e.g[h+f]=g&16777215,g=Math.floor(g/16777216);k=g;g=0;a.g[f]+=k;for(h=0;h<=d;h++)g+=e.g[h+f]+(b.g[h]&k),
e.g[h+f]=g&16777215,g>>=24}if(0>c||23<c)throw new Ld("Illegal shift value.");h=e.g.length;b=V(h);f=(1<<c)-1;g=0;for(--h;0<=h;h--)b.g[h]=g+(e.g[h]>>c),g=(e.g[h]&f)<<24-c;c=V(d);for(e=0;e<d;e++)c.g[e]=b.g[e]|0;e=c;$d(a);return{Z:a,V:e}},ae=function(a){for(var b=de,c=0,d=0,e=0,f=0,g=Ud(a.g.length,b.g.length)-1;0<=g;--g){var h=a.g[g]|0,k=b.g[g]|0;d|=h<k;c|=h>k&!d;e|=h>k;f|=h<k&!e}return 0==c-f};
U.prototype.and=function(a){for(var b=Ud(this.g.length,a.g.length),c=V(b);0<=b;--b)c.g[b]=(this.g[b]|0)&(a.g[b]|0);return c};U.prototype.or=function(a){for(var b=Ud(this.g.length,a.g.length),c=V(b);0<=b;--b)c.g[b]=this.g[b]|0|a.g[b]|0;return c};U.prototype.xor=function(a){for(var b=Ud(this.g.length,a.g.length),c=V(b);0<=b;--b)c.g[b]=(this.g[b]|0)^(a.g[b]|0);return c};
var ce=function(a,b){if(0>b||23<b)throw new Ld("Illegal shift value.");for(var c=a.g.length,d=V(c+1),e=(1<<b)-1,f=(1<<24-b)-1,g=0,h=0;h<c;h++)d.g[h]=((a.g[h]&f)<<b)+g,g=a.g[h]>>24-b&e;d.g[c]=g;return $d(d)},de=Wd(0);Wd(1);Wd(2);
var fe=function(a,b){U.call(this,a);$d(this);a=1;for(var c=this.g[0],d=1;16777216>d;d<<=1)a*c&d&&(a|=d);this.j=16777216-a;if(void 0!==b)b=new U(b);else{b=this.g.length;a=V(2*b+1);for(c=0;c<2*b;++c)a.g[c]=0;a.g[2*b]=1;b=Zd(a,this).V}this.l=b;this.i=ee(this,this.l)};u(fe,U);
fe.prototype.pow=function(a,b){a=new U(a);b instanceof U&&(b=Yd(b));var c=W(this,a,this.l);a=Array(16);a[0]=this.i;for(var d=1;16>d;++d)a[d]=W(this,c,a[d-1]);c=V(this.g.length);d=Vd(this.i.g);for(var e=b.length,f=0;f<e;++f)W(this,d,d,c),W(this,c,c,d),W(this,d,d,c),W(this,c,c,d),W(this,d,a[b[f]>>4&15],c),W(this,c,c,d),W(this,d,d,c),W(this,c,c,d),W(this,d,d,c),W(this,c,a[b[f]&15],d);ee(this,d,c);return Yd(c)};
var ee=function(a,b,c){var d=a.g.length;c=c||V(d);for(var e=0;e<d;++e)c.g[e]=b.g[e];for(e=0;e<d;++e){b=a;var f=c,g=f.g[0],h=g*b.j&16777215;g+=h*b.g[0];for(var k=1,l=b.g.length;k<l;++k)g=(g/16777216|0)+f.g[k]+h*b.g[k],f.g[k-1]=g&16777215;f.g[k-1]=g/16777216|0}ge(a,c,d);return c},W=function(a,b,c,d){var e=a.g.length;d=d||V(e);for(var f=0;f<e;++f)d.g[f]=0;for(f=0;f<e;++f){var g=a,h=b.g[f]|0,k=c,l=d,q=h*k.g[0]+l.g[0],y=(q&16777215)*g.j&16777215;q+=y*g.g[0];for(var D=1,uf=g.g.length;D<uf;++D)q=(q/16777216|
0)+h*(k.g[D]|0)+l.g[D]+y*g.g[D],l.g[D-1]=q&16777215;l.g[D-1]=q/16777216|0}ge(a,d,e);return d},ge=function(a,b,c){for(var d=0,e=0;e<c;++e)d+=b.g[e]-a.g[e],b.g[e]=d&16777215,d>>=24;var f=d>>24;for(e=d=0;e<c;++e)d+=b.g[e]+(a.g[e]&f),b.g[e]=d&16777215,d>>=24};
var he=function(a,b,c){this.i=a;this.j=this.h=b;this.g=null;this.modulusLength=0;this.g=new fe(a,c);this.modulusLength=Math.ceil(be(this.g)/8)};xa(he,Qd);
var ke=function(a,b){this.h=64;this.m=r.Uint8Array?new Uint8Array(this.h):Array(this.h);this.o=this.j=0;this.g=[];this.B=a;this.u=b;this.D=r.Int32Array?new Int32Array(64):Array(64);void 0===ie&&(r.Int32Array?ie=new Int32Array(je):ie=je);this.reset()},ie;u(ke,Rd);var le=ea(128,ja(0,63));ke.prototype.reset=function(){this.o=this.j=0;this.g=r.Int32Array?new Int32Array(this.u):fa(this.u)};
var me=function(a){for(var b=a.m,c=a.D,d=0,e=0;e<b.length;)c[d++]=b[e]<<24|b[e+1]<<16|b[e+2]<<8|b[e+3],e=4*d;for(b=16;64>b;b++){e=c[b-15]|0;d=c[b-2]|0;var f=(c[b-16]|0)+((e>>>7|e<<25)^(e>>>18|e<<14)^e>>>3)|0,g=(c[b-7]|0)+((d>>>17|d<<15)^(d>>>19|d<<13)^d>>>10)|0;c[b]=f+g|0}d=a.g[0]|0;e=a.g[1]|0;var h=a.g[2]|0,k=a.g[3]|0,l=a.g[4]|0,q=a.g[5]|0,y=a.g[6]|0;f=a.g[7]|0;for(b=0;64>b;b++){var D=((d>>>2|d<<30)^(d>>>13|d<<19)^(d>>>22|d<<10))+(d&e^d&h^e&h)|0;g=l&q^~l&y;f=f+((l>>>6|l<<26)^(l>>>11|l<<21)^(l>>>
25|l<<7))|0;g=g+(ie[b]|0)|0;g=f+(g+(c[b]|0)|0)|0;f=y;y=q;q=l;l=k+g|0;k=h;h=e;e=d;d=g+D|0}a.g[0]=a.g[0]+d|0;a.g[1]=a.g[1]+e|0;a.g[2]=a.g[2]+h|0;a.g[3]=a.g[3]+k|0;a.g[4]=a.g[4]+l|0;a.g[5]=a.g[5]+q|0;a.g[6]=a.g[6]+y|0;a.g[7]=a.g[7]+f|0};
ke.prototype.i=function(a,b){void 0===b&&(b=a.length);var c=0,d=this.j;if("string"===typeof a)for(;c<b;)this.m[d++]=a.charCodeAt(c++),d==this.h&&(me(this),d=0);else if(n(a))for(;c<b;){var e=a[c++];if(!("number"==typeof e&&0<=e&&255>=e&&e==(e|0)))throw Error("t");this.m[d++]=e;d==this.h&&(me(this),d=0)}else throw Error("u");this.j=d;this.o+=b};
ke.prototype.l=function(){var a=[],b=8*this.o;56>this.j?this.i(le,56-this.j):this.i(le,this.h-(this.j-56));for(var c=63;56<=c;c--)this.m[c]=b&255,b/=256;me(this);for(c=b=0;c<this.B;c++)for(var d=24;0<=d;d-=8)a[b++]=this.g[c]>>d&255;return a};
var je=[1116352408,1899447441,3049323471,3921009573,961987163,1508970993,2453635748,2870763221,3624381080,310598401,607225278,1426881987,1925078388,2162078206,2614888103,3248222580,3835390401,4022224774,264347078,604807628,770255983,1249150122,1555081692,1996064986,2554220882,2821834349,2952996808,3210313671,3336571891,3584528711,113926993,338241895,666307205,773529912,1294757372,1396182291,1695183700,1986661051,2177026350,2456956037,2730485921,2820302411,3259730800,3345764771,3516065817,3600352804,
4094571909,275423344,430227734,506948616,659060556,883997877,958139571,1322822218,1537002063,1747873779,1955562222,2024104815,2227730452,2361852424,2428436474,2756734187,3204031479,3329325298];
var oe=function(){ke.call(this,8,ne)};u(oe,ke);var ne=[1779033703,3144134277,1013904242,2773480762,1359893119,2600822924,528734635,1541459225];
for(var pe=[1116352408,3609767458,1899447441,602891725,3049323471,3964484399,3921009573,2173295548,961987163,4081628472,1508970993,3053834265,2453635748,2937671579,2870763221,3664609560,3624381080,2734883394,310598401,1164996542,607225278,1323610764,1426881987,3590304994,1925078388,4068182383,2162078206,991336113,2614888103,633803317,3248222580,3479774868,3835390401,2666613458,4022224774,944711139,264347078,2341262773,604807628,2007800933,770255983,1495990901,1249150122,1856431235,1555081692,3175218132,
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