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/*! (c) Tom Wu | http://www-cs-students.stanford.edu/~tjw/jsbn/
*/
function bnClone(){var a=nbi();this.copyTo(a);return a}function bnIntValue(){if(this.s<0){if(this.t==1){return this[0]-this.DV}else{if(this.t==0){return -1}}}else{if(this.t==1){return this[0]}else{if(this.t==0){return 0}}}return((this[1]&((1<<(32-this.DB))-1))<<this.DB)|this[0]}function bnByteValue(){return(this.t==0)?this.s:(this[0]<<24)>>24}function bnShortValue(){return(this.t==0)?this.s:(this[0]<<16)>>16}function bnpChunkSize(a){return Math.floor(Math.LN2*this.DB/Math.log(a))}function bnSigNum(){if(this.s<0){return -1}else{if(this.t<=0||(this.t==1&&this[0]<=0)){return 0}else{return 1}}}function bnpToRadix(c){if(c==null){c=10}if(this.signum()==0||c<2||c>36){return"0"}var f=this.chunkSize(c);var e=Math.pow(c,f);var i=nbv(e),j=nbi(),h=nbi(),g="";this.divRemTo(i,j,h);while(j.signum()>0){g=(e+h.intValue()).toString(c).substr(1)+g;j.divRemTo(i,j,h)}return h.intValue().toString(c)+g}function bnpFromRadix(m,h){this.fromInt(0);if(h==null){h=10}var f=this.chunkSize(h);var g=Math.pow(h,f),e=false,a=0,l=0;for(var c=0;c<m.length;++c){var k=intAt(m,c);if(k<0){if(m.charAt(c)=="-"&&this.signum()==0){e=true}continue}l=h*l+k;if(++a>=f){this.dMultiply(g);this.dAddOffset(l,0);a=0;l=0}}if(a>0){this.dMultiply(Math.pow(h,a));this.dAddOffset(l,0)}if(e){BigInteger.ZERO.subTo(this,this)}}function bnpFromNumber(f,e,h){if("number"==typeof e){if(f<2){this.fromInt(1)}else{this.fromNumber(f,h);if(!this.testBit(f-1)){this.bitwiseTo(BigInteger.ONE.shiftLeft(f-1),op_or,this)}if(this.isEven()){this.dAddOffset(1,0)}while(!this.isProbablePrime(e)){this.dAddOffset(2,0);if(this.bitLength()>f){this.subTo(BigInteger.ONE.shiftLeft(f-1),this)}}}}else{var d=new Array(),g=f&7;d.length=(f>>3)+1;e.nextBytes(d);if(g>0){d[0]&=((1<<g)-1)}else{d[0]=0}this.fromString(d,256)}}function bnToByteArray(){var b=this.t,c=new Array();c[0]=this.s;var e=this.DB-(b*this.DB)%8,f,a=0;if(b-->0){if(e<this.DB&&(f=this[b]>>e)!=(this.s&this.DM)>>e){c[a++]=f|(this.s<<(this.DB-e))}while(b>=0){if(e<8){f=(this[b]&((1<<e)-1))<<(8-e);f|=this[--b]>>(e+=this.DB-8)}else{f=(this[b]>>(e-=8))&255;if(e<=0){e+=this.DB;--b}}if((f&128)!=0){f|=-256}if(a==0&&(this.s&128)!=(f&128)){++a}if(a>0||f!=this.s){c[a++]=f}}}return c}function bnEquals(b){return(this.compareTo(b)==0)}function bnMin(b){return(this.compareTo(b)<0)?this:b}function bnMax(b){return(this.compareTo(b)>0)?this:b}function bnpBitwiseTo(c,h,e){var d,g,b=Math.min(c.t,this.t);for(d=0;d<b;++d){e[d]=h(this[d],c[d])}if(c.t<this.t){g=c.s&this.DM;for(d=b;d<this.t;++d){e[d]=h(this[d],g)}e.t=this.t}else{g=this.s&this.DM;for(d=b;d<c.t;++d){e[d]=h(g,c[d])}e.t=c.t}e.s=h(this.s,c.s);e.clamp()}function op_and(a,b){return a&b}function bnAnd(b){var c=nbi();this.bitwiseTo(b,op_and,c);return c}function op_or(a,b){return a|b}function bnOr(b){var c=nbi();this.bitwiseTo(b,op_or,c);return c}function op_xor(a,b){return a^b}function bnXor(b){var c=nbi();this.bitwiseTo(b,op_xor,c);return c}function op_andnot(a,b){return a&~b}function bnAndNot(b){var c=nbi();this.bitwiseTo(b,op_andnot,c);return c}function bnNot(){var b=nbi();for(var a=0;a<this.t;++a){b[a]=this.DM&~this[a]}b.t=this.t;b.s=~this.s;return b}function bnShiftLeft(b){var a=nbi();if(b<0){this.rShiftTo(-b,a)}else{this.lShiftTo(b,a)}return a}function bnShiftRight(b){var a=nbi();if(b<0){this.lShiftTo(-b,a)}else{this.rShiftTo(b,a)}return a}function lbit(a){if(a==0){return -1}var b=0;if((a&65535)==0){a>>=16;b+=16}if((a&255)==0){a>>=8;b+=8}if((a&15)==0){a>>=4;b+=4}if((a&3)==0){a>>=2;b+=2}if((a&1)==0){++b}return b}function bnGetLowestSetBit(){for(var a=0;a<this.t;++a){if(this[a]!=0){return a*this.DB+lbit(this[a])}}if(this.s<0){return this.t*this.DB}return -1}function cbit(a){var b=0;while(a!=0){a&=a-1;++b}return b}function bnBitCount(){var c=0,a=this.s&this.DM;for(var b=0;b<this.t;++b){c+=cbit(this[b]^a)}return c}function bnTestBit(b){var a=Math.floor(b/this.DB);if(a>=this.t){return(this.s!=0)}return((this[a]&(1<<(b%this.DB)))!=0)}function bnpChangeBit(c,b){var a=BigInteger.ONE.shiftLeft(c);this.bitwiseTo(a,b,a);return a}function bnSetBit(a){return this.changeBit(a,op_or)}function bnClearBit(a){return this.changeBi