elliptic.min.js

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1(function(k){"object"===typeof exports&&"undefined"!==typeof module?module.exports=k():"function"===typeof define&&define.amd?define([],k):("undefined"!==typeof window?window:"undefined"!==typeof global?global:"undefined"!==typeof self?self:this).elliptic=k()})(function(){return function(){function k(q,l,d){function e(a,f){if(!l[a]){if(!q[a]){var p="function"==typeof require&&require;if(!f&&p)return p(a,!0);if(b)return b(a,!0);p=Error("Cannot find module '"+a+"'");throw p.code="MODULE_NOT_FOUND",
2p;}p=l[a]={exports:{}};q[a][0].call(p.exports,function(n){return e(q[a][1][n]||n)},p,p.exports,k,q,l,d)}return l[a].exports}for(var b="function"==typeof require&&require,g=0;g<d.length;g++)e(d[g]);return e}return k}()({1:[function(k,q,l){l.version=k("../package.json").version;l.utils=k("./elliptic/utils");l.rand=k("brorand");l.curve=k("./elliptic/curve");l.curves=k("./elliptic/curves");l.ec=k("./elliptic/ec");l.eddsa=k("./elliptic/eddsa")},{"../package.json":35,"./elliptic/curve":4,"./elliptic/curves":7,
3"./elliptic/ec":8,"./elliptic/eddsa":11,"./elliptic/utils":15,brorand:17}],2:[function(k,q,l){function d(a,c){this.type=a;this.p=new b(c.p,16);this.red=c.prime?b.red(c.prime):b.mont(this.p);this.zero=(new b(0)).toRed(this.red);this.one=(new b(1)).toRed(this.red);this.two=(new b(2)).toRed(this.red);this.n=c.n&&new b(c.n,16);this.g=c.g&&this.pointFromJSON(c.g,c.gRed);this._wnafT1=Array(4);this._wnafT2=Array(4);this._wnafT3=Array(4);this._wnafT4=Array(4);this._bitLength=this.n?this.n.bitLength():0;var h=
4this.n&&this.p.div(this.n);!h||0<h.cmpn(100)?this.redN=null:(this._maxwellTrick=!0,this.redN=this.n.toRed(this.red))}function e(a,c){this.curve=a;this.type=c;this.precomputed=null}var b=k("bn.js"),g=k("../utils"),a=g.getNAF,f=g.getJSF,p=g.assert;q.exports=d;d.prototype.point=function(){throw Error("Not implemented");};d.prototype.validate=function(){throw Error("Not implemented");};d.prototype._fixedNafMul=function(n,c){p(n.precomputed);var h=n._getDoubles(),u=a(c,1,this._bitLength),f=(1<<h.step+
51)-(0===h.step%2?2:1),f=f/3,b=[],g,d;for(g=0;g<u.length;g+=h.step){d=0;for(var e=g+h.step-1;e>=g;e--)d=(d<<1)+u[e];b.push(d)}u=this.jpoint(null,null,null);for(e=this.jpoint(null,null,null);0<f;f--){for(g=0;g<b.length;g++)d=b[g],d===f?e=e.mixedAdd(h.points[g]):d===-f&&(e=e.mixedAdd(h.points[g].neg()));u=u.add(e)}return u.toP()};d.prototype._wnafMul=function(n,c){var h,u=n._getNAFPoints(4);h=u.wnd;u=u.points;h=a(c,h,this._bitLength);for(var f=this.jpoint(null,null,null),g=h.length-1;0<=g;g--){for(var b=
60;0<=g&&0===h[g];g--)b++;0<=g&&b++;f=f.dblp(b);if(0>g)break;b=h[g];p(0!==b);f="affine"===n.type?0<b?f.mixedAdd(u[b-1>>1]):f.mixedAdd(u[-b-1>>1].neg()):0<b?f.add(u[b-1>>1]):f.add(u[-b-1>>1].neg())}return"affine"===n.type?f.toP():f};d.prototype._wnafMulAdd=function(n,c,h,p,g){var b=this._wnafT1,d=this._wnafT2,e=this._wnafT3,k=0,l,q;for(l=0;l<p;l++){q=c[l];var t=q._getNAFPoints(n);b[l]=t.wnd;d[l]=t.points}for(l=p-1;1<=l;l-=2){var t=l-1,x=l;if(1!==b[t]||1!==b[x])e[t]=a(h[t],b[t],this._bitLength),e[x]=
7a(h[x],b[x],this._bitLength),k=Math.max(e[t].length,k),k=Math.max(e[x].length,k);else{var A=[c[t],null,null,c[x]];0===c[t].y.cmp(c[x].y)?(A[1]=c[t].add(c[x]),A[2]=c[t].toJ().mixedAdd(c[x].neg())):0===c[t].y.cmp(c[x].y.redNeg())?(A[1]=c[t].toJ().mixedAdd(c[x]),A[2]=c[t].add(c[x].neg())):(A[1]=c[t].toJ().mixedAdd(c[x]),A[2]=c[t].toJ().mixedAdd(c[x].neg()));var z=[-3,-1,-5,-7,0,7,5,1,3],m=f(h[t],h[x]),k=Math.max(m[0].length,k);e[t]=Array(k);e[x]=Array(k);for(n=0;n<k;n++)e[t][n]=z[3*((m[0][n]|0)+1)+((m[1][n]|
80)+1)],e[x][n]=0,d[t]=A}}c=this.jpoint(null,null,null);h=this._wnafT4;for(l=k;0<=l;l--){for(k=0;0<=l;){b=!0;for(n=0;n<p;n++)h[n]=e[n][l]|0,0!==h[n]&&(b=!1);if(!b)break;k++;l--}0<=l&&k++;c=c.dblp(k);if(0>l)break;for(n=0;n<p;n++)k=h[n],q,0!==k&&(0<k?q=d[n][k-1>>1]:0>k&&(q=d[n][-k-1>>1].neg()),c="affine"===q.type?c.mixedAdd(q):c.add(q))}for(l=0;l<p;l++)d[l]=null;return g?c:c.toP()};d.BasePoint=e;e.prototype.eq=function(){throw Error("Not implemented");};e.prototype.validate=function(){return this.curve.validate(this)};
9d.prototype.decodePoint=function(a,c){a=g.toArray(a,c);var h=this.p.byteLength();if((4===a[0]||6===a[0]||7===a[0])&&a.length-1===2*h)return 6===a[0]?p(0===a[a.length-1]%2):7===a[0]&&p(1===a[a.length-1]%2),this.point(a.slice(1,1+h),a.slice(1+h,1+2*h));if((2===a[0]||3===a[0])&&a.length-1===h)return this.pointFromX(a.slice(1,1+h),3===a[0]);throw Error("Unknown point format");};e.prototype.encodeCompressed=function(a){return this.encode(a,!0)};e.prototype._encode=function(a){var c=this.curve.p.byteLength(),
10h=this.getX().toArray("be",c);return a?[this.getY().isEven()?2:3].concat(h):[4].concat(h,this.getY().toArray("be",c))};e.prototype.encode=function(a,c){return g.encode(this._encode(c),a)};

10e.prototype.precompute=function(a){if(this.precomputed)return this;var c={doubles:null,naf:null,beta:null};c.naf=this._getNAFPoints(8);c.doubles=this._getDoubles(4,a);c.beta=this._getBeta();this.precomputed=c;return this};e.prototype._hasDoubles=function(a){if(!this.precomputed)return!1;var c=this.precomputed.doubles;
11return c?c.points.length>=Math.ceil((a.bitLength()+1)/c.step):!1};e.prototype._getDoubles=function(a,c){if(this.precomputed&&this.precomputed.doubles)return this.precomputed.doubles;for(var h=[this],p=this,f=0;f<c;f+=a){for(var b=0;b<a;b++)p=p.dbl();h.push(p)}return{step:a,points:h}};e.prototype._getNAFPoints=function(a){if(this.precomputed&&this.precomputed.naf)return this.precomputed.naf;for(var c=[this],h=(1<<a)-1,p=1===h?null:this.dbl(),f=1;f<h;f++)c[f]=c[f-1].add(p);return{wnd:a,points:c}};e.prototype._getBeta=
12function(){return null};e.prototype.dblp=function(a){for(var c=this,h=0;h<a;h++)c=c.dbl();return c}},{"../utils":15,"bn.js":16}],3:[function(k,q,l){function d(p){this.extended=this.mOneA=(this.twisted=1!==(p.a|0))&&-1===(p.a|0);a.call(this,"edwards",p);this.a=(new b(p.a,16)).umod(this.red.m);this.a=this.a.toRed(this.red);this.c=(new b(p.c,16)).toRed(this.red);this.c2=this.c.redSqr();this.d=(new b(p.d,16)).toRed(this.red);this.dd=this.d.redAdd(this.d);f(!this.twisted||0===this.c.fromRed().cmpn(1));
13this.oneC=1===(p.c|0)}function e(p,n,c,h,u){a.BasePoint.call(this,p,"projective");null===n&&null===c&&null===h?(this.x=this.curve.zero,this.z=this.y=this.curve.one,this.t=this.curve.zero,this.zOne=!0):(this.x=new b(n,16),this.y=new b(c,16),this.z=h?new b(h,16):this.curve.one,this.t=u&&new b(u,16),this.x.red||(this.x=this.x.toRed(this.curve.red)),this.y.red||(this.y=this.y.toRed(this.curve.red)),this.z.red||(this.z=this.z.toRed(this.curve.red)),this.t&&!this.t.red&&(this.t=this.t.toRed(this.curve.red)),
14this.zOne=this.z===this.curve.one,this.curve.extended&&!this.t&&(this.t=this.x.redMul(this.y),this.zOne||(this.t=this.t.redMul(this.z.redInvm()))))}l=k("../utils");var b=k("bn.js"),g=k("inherits"),a=k("./base"),f=l.assert;g(d,a);q.exports=d;d.prototype._mulA=function(a){return this.mOneA?a.redNeg():this.a.redMul(a)};d.prototype._mulC=function(a){return this.oneC?a:this.c.redMul(a)};d.prototype.jpoint=function(a,n,c,h){return this.point(a,n,c,h)};d.prototype.pointFromX=function(a,n){a=new b(a,16);
15a.red||(a=a.toRed(this.red));var c=a.redSqr(),h=this.c2.redSub(this.a.redMul(c)),c=this.one.redSub(this.c2.redMul(this.d).redMul(c)),c=h.redMul(c.redInvm()),h=c.redSqrt();if(0!==h.redSqr().redSub(c).cmp(this.zero))throw Error("invalid point");c=h.fromRed().isOdd();if(n&&!c||!n&&c)h=h.redNeg();return this.point(a,h)};d.prototype.pointFromY=function(a,n){a=new b(a,16);a.red||(a=a.toRed(this.red));var c=a.redSqr(),h=c.redSub(this.c2),c=c.redMul(this.d).redMul(this.c2).redSub(this.a),h=h.redMul(c.redInvm());
16if(0===h.cmp(this.zero)){if(n)throw Error("invalid point");return this.point(this.zero,a)}c=h.redSqrt();if(0!==c.redSqr().redSub(h).cmp(this.zero))throw Error("invalid point");c.fromRed().isOdd()!==n&&(c=c.redNeg());return this.point(c,a)};d.prototype.validate=function(a){if(a.isInfinity())return!0;a.normalize();var n=a.x.redSqr(),c=a.y.redSqr();a=n.redMul(this.a).redAdd(c);n=this.c2.redMul(this.one.redAdd(this.d.redMul(n).redMul(c)));return 0===a.cmp(n)};g(e,a.BasePoint);d.prototype.pointFromJSON=
17function(a){return e.fromJSON(this,a)};d.prototype.point=function(a,n,c,h){return new e(this,a,n,c,h)};e.fromJSON=function(a,n){return new e(a,n[0],n[1],n[2])};e.prototype.inspect=function(){return this.isInfinity()?"<EC Point Infinity>":"<EC Point x: "+this.x.fromRed().toString(16,2)+" y: "+this.y.fromRed().toString(16,2)+" z: "+this.z.fromRed().toString(16,2)+">"};e.prototype.isInfinity=function(){return 0===this.x.cmpn(0)&&(0===this.y.cmp(this.z)||this.zOne&&0===this.y.cmp(this.curve.c))};e.prototype._extDbl=
18function(){var a=this.x.redSqr(),n=this.y.redSqr(),c=this.z.redSqr(),c=c.redIAdd(c),h=this.curve._mulA(a),u=this.x.redAdd(this.y).redSqr().redISub(a).redISub(n),a=h.redAdd(n),c=a.redSub(c),f=h.redSub(n),n=u.redMul(c),h=a.redMul(f),u=u.redMul(f),a=c.redMul(a);return this.curve.point(n,h,a,u)};e.prototype._projDbl=function(){var a=this.x.redAdd(this.y).redSqr(),n=this.x.redSqr(),c=this.y.redSqr(),h,f;if(this.curve.twisted){h=this.curve._mulA(n);var b=h.redAdd(c);this.zOne?(a=a.redSub(n).redSub(c).redMul(b.redSub(this.curve.two)),
19n=b.redMul(h.redSub(c)),h=b.redSqr().redSub(b).redSub(b)):(f=this.z.redSqr(),f=b.redSub(f).redISub(f),a=a.redSub(n).redISub(c).redMul(f),n=b.redMul(h.redSub(c)),h=b.redMul(f))}else h=n.redAdd(c),f=this.curve._mulC(this.z).redSqr(),f=h.redSub(f).redSub(f),a=this.curve._mulC(a.redISub(h)).redMul(f),n=this.curve._mulC(h).redMul(n.redISub(c)),h=h.redMul(f);return this.curve.point(a,n,h)};e.prototype.dbl=function(){return this.isInfinity()?this:this.curve.extended?this._extDbl():this._projDbl()};e.prototype._extAdd=
20function(a){var n=this.y.redSub(this.x).redMul(a.y.redSub(a.x)),c=this.y.redAdd(this.x).redMul(a.y.redAdd(a.x)),h=this.t.redMul(this.curve.dd).redMul(a.t),f=this.z.redMul(a.z.redAdd(a.z)),b=c.redSub(n);a=f.redSub(h);h=f.redAdd(h);f=c.redAdd(n);n=b.redMul(a);c=h.redMul(f);b=b.redMul(f);a=a.redMul(h);return this.curve.point(n,c,a,b)};e.prototype._projAdd=function(a){var n=this.z.redMul(a.z),c=n.redSqr(),h=this.x.redMul(a.x),f=this.y.redMul(a.y),b=this.curve.d.redMul(h).redMul(f),g=c.redSub(b),c=c.redAdd(b);
21a=this.x.redAdd(this.y).redMul(a.x.redAdd(a.y)).redISub(h).redISub(f);a=n.redMul(g).redMul(a);this.curve.twisted?(n=n.redMul(c).redMul(f.redSub(this.curve._mulA(h))),g=g.redMul(c)):(n=n.redMul(c).redMul(f.redSub(h)),g=this.curve._mulC(g).redMul(c));return this.curve.point(a,n,g)};e.prototype.add=function(a){return this.isInfinity()?a:a.isInfinity()?this:this.curve.extended?this._extAdd(a):this._projAdd(a)};e.prototype.mul=function(a){return this._hasDoubles(a)?this.curve._fixedNafMul(this,a):this.curve._wnafMul(this,
22a)};e.prototype.mulAdd=function(a,n,c){return this.curve._wnafMulAdd(1,[this,n],[a,c],2,!1)};e.prototype.jmulAdd=function(a,n,c){return this.curve._wnafMulAdd(1,[this,n],[a,c],2,!0)};e.prototype.normalize=function(){if(this.zOne)return this;var a=this.z.redInvm();this.x=this.x.redMul(a);this.y=this.y.redMul(a);this.t&&(this.t=this.t.redMul(a));this.z=this.curve.one;this.zOne=!0;return this};e.prototype.neg=function(){return this.curve.point(this.x.redNeg(),this.y,this.z,this.t&&this.t.redNeg())};
23e.prototype.getX=function(){this.normalize();return this.x.fromRed()};e.prototype.getY=function(){this.normalize();return this.y.fromRed()};e.prototype.eq=function(a){return this===a||0===this.getX().cmp(a.getX())&&0===this.getY().cmp(a.getY())};e.prototype.eqXToP=function(a){var n=a.toRed(this.curve.red).redMul(this.z);if(0===this.x.cmp(n))return!0;a=a.clone();for(var c=this.curve.redN.redMul(this.z);;){a.iadd(this.curve.n);if(0<=a.cmp(this.curve.p))return!1;n.redIAdd(c);if(0===this.x.cmp(n))return!0}};
24e.prototype.toP=e.prototype.normalize;e.prototype.mixedAdd=e.prototype.add},{"../utils":15,"./base":2,"bn.js":16,inherits:32}],4:[function(k,q,l){l.base=k("./base");l["short"]=k("./short");l.mont=k("./mont");l.edwards=k("./edwards")},{"./base":2,"./edwards":3,"./mont":5,"./short":6}],5:[function(k,q,l){function d(a){g.call(this,"mont",a);

24this.a=(new b(a.a,16)).toRed(this.red);this.b=(new b(a.b,16)).toRed(this.red);this.i4=(new b(4)).toRed(this.red).redInvm();this.two=(new b(2)).toRed(this.red);this.a24=
25this.i4.redMul(this.a.redAdd(this.two))}function e(a,d,n){g.BasePoint.call(this,a,"projective");null===d&&null===n?(this.x=this.curve.one,this.z=this.curve.zero):(this.x=new b(d,16),this.z=new b(n,16),this.x.red||(this.x=this.x.toRed(this.curve.red)),this.z.red||(this.z=this.z.toRed(this.curve.red)))}var b=k("bn.js");l=k("inherits");var g=k("./base"),a=k("../utils");l(d,g);q.exports=d;d.prototype.validate=function(a){a=a.normalize().x;var b=a.redSqr();a=b.redMul(a).redAdd(b.redMul(this.a)).redAdd(a);
26return 0===a.redSqrt().redSqr().cmp(a)};l(e,g.BasePoint);d.prototype.decodePoint=function(f,b){return this.point(a.toArray(f,b),1)};d.prototype.point=function(a,b){return new e(this,a,b)};d.prototype.pointFromJSON=function(a){return e.fromJSON(this,a)};e.prototype.precompute=function(){};e.prototype._encode=function(){return this.getX().toArray("be",this.curve.p.byteLength())};e.fromJSON=function(a,b){return new e(a,b[0],b[1]||a.one)};e.prototype.inspect=function(){return this.isInfinity()?"<EC Point Infinity>":
27"<EC Point x: "+this.x.fromRed().toString(16,2)+" z: "+this.z.fromRed().toString(16,2)+">"};e.prototype.isInfinity=function(){return 0===this.z.cmpn(0)};e.prototype.dbl=function(){var a=this.x.redAdd(this.z).redSqr(),b=this.x.redSub(this.z).redSqr(),n=a.redSub(b),a=a.redMul(b),b=n.redMul(b.redAdd(this.curve.a24.redMul(n)));return this.curve.point(a,b)};e.prototype.add=function(){throw Error("Not supported on Montgomery curve");};e.prototype.diffAdd=function(a,b){var n=this.x.redAdd(this.z),c=this.x.redSub(this.z),
28h=a.x.redAdd(a.z),n=a.x.redSub(a.z).redMul(n),h=h.redMul(c),c=b.z.redMul(n.redAdd(h).redSqr()),n=b.x.redMul(n.redISub(h).redSqr());return this.curve.point(c,n)};e.prototype.mul=function(a){var b=a.clone();a=this;for(var n=this.curve.point(null,null),c=[];0!==b.cmpn(0);b.iushrn(1))c.push(b.andln(1));for(b=c.length-1;0<=b;b--)0===c[b]?(a=a.diffAdd(n,this),n=n.dbl()):(n=a.diffAdd(n,this),a=a.dbl());return n};e.prototype.mulAdd=function(){throw Error("Not supported on Montgomery curve");};e.prototype.jumlAdd=
29function(){throw Error("Not supported on Montgomery curve");};e.prototype.eq=function(a){return 0===this.getX().cmp(a.getX())};e.prototype.normalize=function(){this.x=this.x.redMul(this.z.redInvm());this.z=this.curve.one;return this};e.prototype.getX=function(){this.normalize();return this.x.fromRed()}},{"../utils":15,"./base":2,"bn.js":16,inherits:32}],6:[function(k,q,l){function d(a){f.call(this,"short",a);this.a=(new g(a.a,16)).toRed(this.red);this.b=(new g(a.b,16)).toRed(this.red);this.tinv=this.two.redInvm();
30this.zeroA=0===this.a.fromRed().cmpn(0);this.threeA=0===this.a.fromRed().sub(this.p).cmpn(-3);this.endo=this._getEndomorphism(a);this._endoWnafT1=Array(4);this._endoWnafT2=Array(4)}function e(a,c,h,b){f.BasePoint.call(this,a,"affine");null===c&&null===h?(this.y=this.x=null,this.inf=!0):(this.x=new g(c,16),this.y=new g(h,16),b&&(this.x.forceRed(this.curve.red),this.y.forceRed(this.curve.red)),this.x.red||(this.x=this.x.toRed(this.curve.red)),this.y.red||(this.y=this.y.toRed(this.curve.red)),this.inf=
31!1)}function b(a,c,h,b){f.BasePoint.call(this,a,"jacobian");null===c&&null===h&&null===b?(this.y=this.x=this.curve.one,this.z=new g(0)):(this.x=new g(c,16),this.y=new g(h,16),this.z=new g(b,16));this.x.red||(this.x=this.x.toRed(this.curve.red));this.y.red||(this.y=this.y.toRed(this.curve.red));this.z.red||(this.z=this.z.toRed(this.curve.red));this.zOne=this.z===this.curve.one}l=k("../utils");var g=k("bn.js"),a=k("inherits"),f=k("./base"),p=l.assert;a(d,f);q.exports=d;d.prototype._getEndomorphism=
32function(a){if(this.zeroA&&this.g&&this.n&&1===this.p.modn(3)){var c,h;a.beta?c=(new g(a.beta,16)).toRed(this.red):(c=this._getEndoRoots(this.p),c=0>c[0].cmp(c[1])?c[0]:c[1],c=c.toRed(this.red));a.lambda?h=new g(a.lambda,16):(h=this._getEndoRoots(this.n),0===this.g.mul(h[0]).x.cmp(this.g.x.redMul(c))?h=h[0]:(h=h[1],p(0===this.g.mul(h).x.cmp(this.g.x.redMul(c)))));

32a=a.basis?a.basis.map(function(a){return{a:new g(a.a,16),b:new g(a.b,16)}}):this._getEndoBasis(h);return{beta:c,lambda:h,basis:a}}};d.prototype._getEndoRoots=
33function(a){var c=a===this.p?this.red:g.mont(a),h=(new g(2)).toRed(c).redInvm();a=h.redNeg();h=(new g(3)).toRed(c).redNeg().redSqrt().redMul(h);c=a.redAdd(h).fromRed();a=a.redSub(h).fromRed();return[c,a]};d.prototype._getEndoBasis=function(a){for(var c=this.n.ushrn(Math.floor(this.n.bitLength()/2)),h=this.n.clone(),b=new g(1),f=new g(0),d=new g(0),e=new g(1),p,k,l,q,t,x,A=0,z;0!==a.cmpn(0);){var m=h.div(a);z=h.sub(m.mul(a));t=d.sub(m.mul(b));m=e.sub(m.mul(f));if(!l&&0>z.cmp(c))p=x.neg(),k=b,l=z.neg(),
34q=t;else if(l&&2===++A)break;x=z;h=a;a=z;d=b;b=t;e=f;f=m}c=z.neg();x=l.sqr().add(q.sqr());0<=c.sqr().add(t.sqr()).cmp(x)&&(c=p,t=k);l.negative&&(l=l.neg(),q=q.neg());c.negative&&(c=c.neg(),t=t.neg());return[{a:l,b:q},{a:c,b:t}]};d.prototype._endoSplit=function(a){var c=this.endo.basis,h=c[0],b=c[1],f=b.b.mul(a).divRound(this.n),g=h.b.neg().mul(a).divRound(this.n),c=f.mul(h.a),d=g.mul(b.a),h=f.mul(h.b),b=g.mul(b.b);a=a.sub(c).sub(d);c=h.add(b).neg();return{k1:a,k2:c}};d.prototype.pointFromX=function(a,
35c){a=new g(a,16);a.red||(a=a.toRed(this.red));var h=a.redSqr().redMul(a).redIAdd(a.redMul(this.a)).redIAdd(this.b),b=h.redSqrt();if(0!==b.redSqr().redSub(h).cmp(this.zero))throw Error("invalid point");h=b.fromRed().isOdd();if(c&&!h||!c&&h)b=b.redNeg();return this.point(a,b)};d.prototype.validate=function(a){if(a.inf)return!0;var c=a.x;a=a.y;var h=this.a.redMul(c),c=c.redSqr().redMul(c).redIAdd(h).redIAdd(this.b);return 0===a.redSqr().redISub(c).cmpn(0)};d.prototype._endoWnafMulAdd=function(a,c,h){for(var b=
36this._endoWnafT1,f=this._endoWnafT2,g=0;g<a.length;g++){var d=this._endoSplit(c[g]),e=a[g],p=e._getBeta();d.k1.negative&&(d.k1.ineg(),e=e.neg(!0));d.k2.negative&&(d.k2.ineg(),p=p.neg(!0));b[2*g]=e;b[2*g+1]=p;f[2*g]=d.k1;f[2*g+1]=d.k2}a=this._wnafMulAdd(1,b,f,2*g,h);for(c=0;c<2*g;c++)b[c]=null,f[c]=null;return a};a(e,f.BasePoint);d.prototype.point=function(a,c,h){return new e(this,a,c,h)};d.prototype.pointFromJSON=function(a,c){return e.fromJSON(this,a,c)};e.prototype._getBeta=function(){if(this.curve.endo){var a=
37this.precomputed;if(a&&a.beta)return a.beta;var c=this.curve.point(this.x.redMul(this.curve.endo.beta),this.y);if(a){var h=this.curve,b=function(a){return h.point(a.x.redMul(h.endo.beta),a.y)};a.beta=c;c.precomputed={beta:null,naf:a.naf&&{wnd:a.naf.wnd,points:a.naf.points.map(b)},doubles:a.doubles&&{step:a.doubles.step,points:a.doubles.points.map(b)}}}return c}};e.prototype.toJSON=function(){return this.precomputed?[this.x,this.y,this.precomputed&&{doubles:this.precomputed.doubles&&{step:this.precomputed.doubles.step,
38points:this.precomputed.doubles.points.slice(1)},naf:this.precomputed.naf&&{wnd:this.precomputed.naf.wnd,points:this.precomputed.naf.points.slice(1)}}]:[this.x,this.y]};e.fromJSON=function(a,c,h){function b(c){return a.point(c[0],c[1],h)}"string"===typeof c&&(c=JSON.parse(c));var f=a.point(c[0],c[1],h);if(!c[2])return f;c=c[2];f.precomputed={beta:null,doubles:c.doubles&&{step:c.doubles.step,points:[f].concat(c.doubles.points.map(b))},naf:c.naf&&{wnd:c.naf.wnd,points:[f].concat(c.naf.points.map(b))}};
39return f};e.prototype.inspect=function(){return this.isInfinity()?"<EC Point Infinity>":"<EC Point x: "+this.x.fromRed().toString(16,2)+" y: "+this.y.fromRed().toString(16,2)+">"};e.prototype.isInfinity=function(){return this.inf};e.prototype.add=function(a){if(this.inf)return a;

39if(a.inf)return this;if(this.eq(a))return this.dbl();if(this.neg().eq(a)||0===this.x.cmp(a.x))return this.curve.point(null,null);var c=this.y.redSub(a.y);0!==c.cmpn(0)&&(c=c.redMul(this.x.redSub(a.x).redInvm()));a=c.redSqr().redISub(this.x).redISub(a.x);
40c=c.redMul(this.x.redSub(a)).redISub(this.y);return this.curve.point(a,c)};e.prototype.dbl=function(){if(this.inf)return this;var a=this.y.redAdd(this.y);if(0===a.cmpn(0))return this.curve.point(null,null);var c=this.curve.a,h=this.x.redSqr(),a=a.redInvm(),h=h.redAdd(h).redIAdd(h).redIAdd(c).redMul(a),c=h.redSqr().redISub(this.x.redAdd(this.x)),h=h.redMul(this.x.redSub(c)).redISub(this.y);return this.curve.point(c,h)};e.prototype.getX=function(){return this.x.fromRed()};e.prototype.getY=function(){return this.y.fromRed()};
41e.prototype.mul=function(a){a=new g(a,16);return this.isInfinity()?this:this._hasDoubles(a)?this.curve._fixedNafMul(this,a):this.curve.endo?this.curve._endoWnafMulAdd([this],[a]):this.curve._wnafMul(this,a)};e.prototype.mulAdd=function(a,c,h){c=[this,c];a=[a,h];return this.curve.endo?this.curve._endoWnafMulAdd(c,a):this.curve._wnafMulAdd(1,c,a,2)};e.prototype.jmulAdd=function(a,c,h){c=[this,c];a=[a,h];return this.curve.endo?this.curve._endoWnafMulAdd(c,a,!0):this.curve._wnafMulAdd(1,c,a,2,!0)};e.prototype.eq=
42function(a){return this===a||this.inf===a.inf&&(this.inf||0===this.x.cmp(a.x)&&0===this.y.cmp(a.y))};e.prototype.neg=function(a){if(this.inf)return this;var c=this.curve.point(this.x,this.y.redNeg());if(a&&this.precomputed){a=this.precomputed;var h=function(a){return a.neg()};c.precomputed={naf:a.naf&&{wnd:a.naf.wnd,points:a.naf.points.map(h)},doubles:a.doubles&&{step:a.doubles.step,points:a.doubles.points.map(h)}}}return c};e.prototype.toJ=function(){return this.inf?this.curve.jpoint(null,null,null):
43this.curve.jpoint(this.x,this.y,this.curve.one)};a(b,f.BasePoint);d.prototype.jpoint=function(a,c,h){return new b(this,a,c,h)};b.prototype.toP=function(){if(this.isInfinity())return this.curve.point(null,null);var a=this.z.redInvm(),c=a.redSqr(),h=this.x.redMul(c),a=this.y.redMul(c).redMul(a);return this.curve.point(h,a)};b.prototype.neg=function(){return this.curve.jpoint(this.x,this.y.redNeg(),this.z)};b.prototype.add=function(a){if(this.isInfinity())return a;if(a.isInfinity())return this;var c=
44a.z.redSqr(),h=this.z.redSqr(),b=this.x.redMul(c),f=a.x.redMul(h),c=this.y.redMul(c.redMul(a.z)),h=a.y.redMul(h.redMul(this.z)),f=b.redSub(f),h=c.redSub(h);if(0===f.cmpn(0))return 0!==h.cmpn(0)?this.curve.jpoint(null,null,null):this.dbl();var g=f.redSqr(),d=g.redMul(f),g=b.redMul(g),b=h.redSqr().redIAdd(d).redISub(g).redISub(g),c=h.redMul(g.redISub(b)).redISub(c.redMul(d));a=this.z.redMul(a.z).redMul(f);return this.curve.jpoint(b,c,a)};b.prototype.mixedAdd=function(a){if(this.isInfinity())return a.toJ();
45if(a.isInfinity())return this;var c=this.z.redSqr(),h=this.x,b=a.x.redMul(c),f=this.y;a=a.y.redMul(c).redMul(this.z);b=h.redSub(b);a=f.redSub(a);if(0===b.cmpn(0))return 0!==a.cmpn(0)?this.curve.jpoint(null,null,null):this.dbl();var g=b.redSqr(),c=g.redMul(b),g=h.redMul(g),h=a.redSqr().redIAdd(c).redISub(g).redISub(g),f=a.redMul(g.redISub(h)).redISub(f.redMul(c)),b=this.z.redMul(b);return this.curve.jpoint(h,f,b)};b.prototype.dblp=function(a){if(0===a||this.isInfinity())return this;if(!a)return this.dbl();
46var c;if(this.curve.zeroA||this.curve.threeA){var h=this;for(c=0;c<a;c++)h=h.dbl();return h}var h=this.curve.a,b=this.curve.tinv,f=this.x;c=this.y;var g=this.z,d=g.redSqr().redSqr(),e=c.redAdd(c);for(c=0;c<a;c++){var p=f.redSqr(),k=e.redSqr(),l=k.redSqr(),p=p.redAdd(p).redIAdd(p).redIAdd(h.redMul(d)),k=f.redMul(k),f=p.redSqr().redISub(k.redAdd(k)),k=k.redISub(f),p=p.redMul(k),p=p.redIAdd(p).redISub(l),g=e.redMul(g);c+1<a&&(d=d.redMul(l));e=p}return this.curve.jpoint(f,e.redMul(b),g)};b.prototype.dbl=
47function(){return this.isInfinity()?this:this.curve.zeroA?this._zeroDbl():this.curve.threeA?this._threeDbl():this._dbl()};b.prototype._zeroDbl=function(){var a,c,h;if(this.zOne){h=this.x.redSqr();c=this.y.redSqr();a=c.redSqr();c=this.x.redAdd(c).redSqr().redISub(h).redISub(a);c=c.redIAdd(c);h=h.redAdd(h).redIAdd(h);var b=h.redSqr().redISub(c).redISub(c),f=a.redIAdd(a),f=f.redIAdd(f),f=f.redIAdd(f);a=b;c=h.redMul(c.redISub(b)).redISub(f);h=this.y.redAdd(this.y)}else h=this.x.redSqr(),c=this.y.redSqr(),
48a=c.redSqr(),c=this.x.redAdd(c).redSqr().redISub(h).redISub(a),c=c.redIAdd(c),h=h.redAdd(h).redIAdd(h),b=h.redSqr(),f=a.redIAdd(a),f=f.redIAdd(f),f=f.redIAdd(f),a=b.redISub(c).redISub(c),c=h.redMul(c.redISub(a)).redISub(f),h=this.y.redMul(this.z),h=h.redIAdd(h);return this.curve.jpoint(a,c,h)};b.prototype._threeDbl=function(){var a,c,h;if(this.zOne){a=this.x.redSqr();var b=this.y.redSqr();c=b.redSqr();var b=this.x.redAdd(b).redSqr().redISub(a).redISub(c),b=b.redIAdd(b),f=a.redAdd(a).redIAdd(a).redIAdd(this.curve.a);
49a=h=f.redSqr().redISub(b).redISub(b);c=c.redIAdd(c);c=c.redIAdd(c);c=c.redIAdd(c);c=f.redMul(b.redISub(h)).redISub(c);h=this.y.redAdd(this.y)}else h=this.z.redSqr(),b=this.y.redSqr(),a=this.x.redMul(b),c=this.x.redSub(h).redMul(this.x.redAdd(h)),c=c.redAdd(c).redIAdd(c),f=a.redIAdd(a),f=f.redIAdd(f),a=f.redAdd(f),a=c.redSqr().redISub(a),h=this.y.redAdd(this.z).redSqr().redISub(b).redISub(h),b=b.redSqr(),b=b.redIAdd(b),b=b.redIAdd(b),b=b.redIAdd(b),c=c.redMul(f.redISub(a)).redISub(b);return this.curve.jpoint(a,
50c,h)};b.prototype._dbl=function(){var a=this.curve.a,c=this.x,b=this.y,f=this.z,g=f.redSqr().redSqr(),d=c.redSqr(),e=b.redSqr(),a=d.redAdd(d).redIAdd(d).redIAdd(a.redMul(g)),c=c.redAdd(c),c=c.redIAdd(c),g=c.redMul(e),c=a.redSqr().redISub(g.redAdd(g)),g=g.redISub(c),e=e.redSqr(),e=e.redIAdd(e),e=e.redIAdd(e),e=e.redIAdd(e),e=a.redMul(g).redISub(e),b=b.redAdd(b).redMul(f);return this.curve.jpoint(c,e,b)};b.prototype.trpl=function(){if(!this.curve.zeroA)return this.dbl().add(this);var a=this.x.redSqr(),
51c=this.y.redSqr(),b=this.z.redSqr(),f=c.redSqr(),g=a.redAdd(a).redIAdd(a),d=g.redSqr(),a=this.x.redAdd(c).redSqr().redISub(a).redISub(f),a=a.redIAdd(a),a=a.redAdd(a).redIAdd(a),a=a.redISub(d),e=a.redSqr(),f=f.redIAdd(f),f=f.redIAdd(f),f=f.redIAdd(f),f=f.redIAdd(f),g=g.redIAdd(a).redSqr().redISub(d).redISub(e).redISub(f),c=c.redMul(g),c=c.redIAdd(c),c=c.redIAdd(c),c=this.x.redMul(e).redISub(c),c=c.redIAdd(c),c=c.redIAdd(c),f=this.y.redMul(g.redMul(f.redISub(g)).redISub(a.redMul(e))),f=f.redIAdd(f),
52f=f.redIAdd(f),f=f.redIAdd(f),b=this.z.redAdd(a).redSqr().redISub(b).redISub(e);return this.curve.jpoint(c,f,b)};b.prototype.mul=function(a,c){a=new g(a,c);return this.curve._wnafMul(this,a)};

52b.prototype.eq=function(a){if("affine"===a.type)return this.eq(a.toJ());if(this===a)return!0;var c=this.z.redSqr(),b=a.z.redSqr();if(0!==this.x.redMul(b).redISub(a.x.redMul(c)).cmpn(0))return!1;c=c.redMul(this.z);b=b.redMul(a.z);return 0===this.y.redMul(b).redISub(a.y.redMul(c)).cmpn(0)};b.prototype.eqXToP=function(a){var c=
53this.z.redSqr(),b=a.toRed(this.curve.red).redMul(c);if(0===this.x.cmp(b))return!0;a=a.clone();for(c=this.curve.redN.redMul(c);;){a.iadd(this.curve.n);if(0<=a.cmp(this.curve.p))return!1;b.redIAdd(c);if(0===this.x.cmp(b))return!0}};b.prototype.inspect=function(){return this.isInfinity()?"<EC JPoint Infinity>":"<EC JPoint x: "+this.x.toString(16,2)+" y: "+this.y.toString(16,2)+" z: "+this.z.toString(16,2)+">"};b.prototype.isInfinity=function(){return 0===this.z.cmpn(0)}},{"../utils":15,"./base":2,"bn.js":16,
54inherits:32}],7:[function(k,q,l){function d(b){this.curve="short"===b.type?new g["short"](b):"edwards"===b.type?new g.edwards(b):new g.mont(b);this.g=this.curve.g;this.n=this.curve.n;this.hash=b.hash;a(this.g.validate(),"Invalid curve");a(this.g.mul(this.n).isInfinity(),"Invalid curve, G*N != O")}function e(a,f){Object.defineProperty(b,a,{configurable:!0,enumerable:!0,get:function(){var c=new d(f);Object.defineProperty(b,a,{configurable:!0,enumerable:!0,value:c});return c}})}var b=l;q=k("hash.js");
55var g=k("./curve"),a=k("./utils").assert;b.PresetCurve=d;e("p192",{type:"short",prime:"p192",p:"ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff",a:"ffffffff ffffffff ffffffff fffffffe ffffffff fffffffc",b:"64210519 e59c80e7 0fa7e9ab 72243049 feb8deec c146b9b1",n:"ffffffff ffffffff ffffffff 99def836 146bc9b1 b4d22831",hash:q.sha256,gRed:!1,g:["188da80e b03090f6 7cbf20eb 43a18800 f4ff0afd 82ff1012","07192b95 ffc8da78 631011ed 6b24cdd5 73f977a1 1e794811"]});e("p224",{type:"short",prime:"p224",
56p:"ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001",a:"ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff fffffffe",b:"b4050a85 0c04b3ab f5413256 5044b0b7 d7bfd8ba 270b3943 2355ffb4",n:"ffffffff ffffffff ffffffff ffff16a2 e0b8f03e 13dd2945 5c5c2a3d",hash:q.sha256,gRed:!1,g:["b70e0cbd 6bb4bf7f 321390b9 4a03c1d3 56c21122 343280d6 115c1d21","bd376388 b5f723fb 4c22dfe6 cd4375a0 5a074764 44d58199 85007e34"]});e("p256",{type:"short",prime:null,p:"ffffffff 00000001 00000000 00000000 00000000 ffffffff ffffffff ffffffff",
57a:"ffffffff 00000001 00000000 00000000 00000000 ffffffff ffffffff fffffffc",b:"5ac635d8 aa3a93e7 b3ebbd55 769886bc 651d06b0 cc53b0f6 3bce3c3e 27d2604b",n:"ffffffff 00000000 ffffffff ffffffff bce6faad a7179e84 f3b9cac2 fc632551",hash:q.sha256,gRed:!1,g:["6b17d1f2 e12c4247 f8bce6e5 63a440f2 77037d81 2deb33a0 f4a13945 d898c296","4fe342e2 fe1a7f9b 8ee7eb4a 7c0f9e16 2bce3357 6b315ece cbb64068 37bf51f5"]});e("p384",{type:"short",prime:null,p:"ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe ffffffff 00000000 00000000 ffffffff",
58a:"ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe ffffffff 00000000 00000000 fffffffc",b:"b3312fa7 e23ee7e4 988e056b e3f82d19 181d9c6e fe814112 0314088f 5013875a c656398d 8a2ed19d 2a85c8ed d3ec2aef",n:"ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff c7634d81 f4372ddf 581a0db2 48b0a77a ecec196a ccc52973",hash:q.sha384,gRed:!1,g:["aa87ca22 be8b0537 8eb1c71e f320ad74 6e1d3b62 8ba79b98 59f741e0 82542a38 5502f25d bf55296c 3a545e38 72760ab7","3617de4a 96262c6f 5d9e98bf 9292dc29 f8f41dbd 289a147c e9da3113 b5f0b8c0 0a60b1ce 1d7e819d 7a431d7c 90ea0e5f"]});
59e("p521",{type:"short",prime:null,p:"000001ff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff",a:"000001ff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffc",b:"00000051 953eb961 8e1c9a1f 929a21a0 b68540ee a2da725b 99b315f3 b8b48991 8ef109e1 56193951 ec7e937b 1652c0bd 3bb1bf07 3573df88 3d2c34f1 ef451fd4 6b503f00",
60n:"000001ff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffa 51868783 bf2f966b 7fcc0148 f709a5d0 3bb5c9b8 899c47ae bb6fb71e 91386409",hash:q.sha512,gRed:!1,g:["000000c6 858e06b7 0404e9cd 9e3ecb66 2395b442 9c648139 053fb521 f828af60 6b4d3dba a14b5e77 efe75928 fe1dc127 a2ffa8de 3348b3c1 856a429b f97e7e31 c2e5bd66","00000118 39296a78 9a3bc004 5c8a5fb4 2c7d1bd9 98f54449 579b4468 17afbd17 273e662c 97ee7299 5ef42640 c550b901 3fad0761 353c7086 a272c240 88be9476 9fd16650"]});e("curve25519",
61{type:"mont",prime:"p25519",p:"7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed",a:"76d06",b:"1",n:"1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed",hash:q.sha256,gRed:!1,g:["9"]});e("ed25519",{type:"edwards",prime:"p25519",p:"7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed",a:"-1",c:"1",d:"52036cee2b6ffe73 8cc740797779e898 00700a4d4141d8ab 75eb4dca135978a3",n:"1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed",hash:q.sha256,
62gRed:!1,g:["216936d3cd6e53fec0a4e231fdd6dc5c692cc7609525a7b2c9562d608f25d51a","6666666666666666666666666666666666666666666666666666666666666658"]});var f;try{f=k("./precomputed/secp256k1")}catch(p){f=void 0}e("secp256k1",{type:"short",prime:"k256",p:"ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f",a:"0",b:"7",n:"ffffffff ffffffff ffffffff fffffffe baaedce6 af48a03b bfd25e8c d0364141",h:"1",hash:q.sha256,beta:"7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee",
63lambda:"5363ad4cc05c30e0a5261c028812645a122e22ea20816678df02967c1b23bd72",basis:[{a:"3086d221a7d46bcde86c90e49284eb15",b:"-e4437ed6010e88286f547fa90abfe4c3"}

63,{a:"114ca50f7a8e2f3f657c1108d9d44cfd8",b:"3086d221a7d46bcde86c90e49284eb15"}],gRed:!1,g:["79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798","483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8",f]})},{"./curve":4,"./precomputed/secp256k1":14,"./utils":15,"hash.js":19}],8:[function(k,q,l){function d(a){if(!(this instanceof
64d))return new d(a);"string"===typeof a&&(f(Object.prototype.hasOwnProperty.call(g,a),"Unknown curve "+a),a=g[a]);a instanceof g.PresetCurve&&(a={curve:a});this.curve=a.curve.curve;this.n=this.curve.n;this.nh=this.n.ushrn(1);this.g=this.curve.g;this.g=a.curve.g;this.g.precompute(a.curve.n.bitLength()+1);this.hash=a.hash||a.curve.hash}var e=k("bn.js"),b=k("hmac-drbg");l=k("../utils");var g=k("../curves"),a=k("brorand"),f=l.assert,p=k("./key"),n=k("./signature");q.exports=d;d.prototype.keyPair=function(a){return new p(this,
65a)};d.prototype.keyFromPrivate=function(a,b){return p.fromPrivate(this,a,b)};d.prototype.keyFromPublic=function(a,b){return p.fromPublic(this,a,b)};d.prototype.genKeyPair=function(c){c||(c={});c=new b({hash:this.hash,pers:c.pers,persEnc:c.persEnc||"utf8",entropy:c.entropy||a(this.hash.hmacStrength),entropyEnc:c.entropy&&

65c.entropyEnc||"utf8",nonce:this.n.toArray()});for(var f=this.n.byteLength(),g=this.n.sub(new e(2));;){var d=new e(c.generate(f));if(!(0<d.cmp(g)))return d.iaddn(1),this.keyFromPrivate(d)}};
66d.prototype._truncateToN=function(a,b,f){var g;e.isBN(a)||"number"===typeof a?(a=new e(a,16),g=a.byteLength()):("object"===typeof a?g=a.length:(a=a.toString(),g=a.length+1>>>1),a=new e(a,16));"number"!==typeof f&&(f=8*g);f-=this.n.bitLength();0<f&&(a=a.ushrn(f));return!b&&0<=a.cmp(this.n)?a.sub(this.n):a};d.prototype.sign=function(a,h,g,d){"object"===typeof g&&(d=g,g=null);d||(d={});if("string"!==typeof a&&"number"!==typeof a&&!e.isBN(a)){f("object"===typeof a&&a&&"number"===typeof a.length,"Expected message to be an array-like, a hex string, or a BN instance");
67f(a.length>>>0===a.length);for(var p=0;p<a.length;p++)f((a[p]&255)===a[p])}h=this.keyFromPrivate(h,g);a=this._truncateToN(a,!1,d.msgBitLength);f(!a.isNeg(),"Can not sign a negative message");p=this.n.byteLength();g=h.getPrivate().toArray("be",p);p=a.toArray("be",p);f((new e(p)).eq(a),"Can not sign message");for(var p=new b({hash:this.hash,entropy:g,nonce:p,pers:d.pers,persEnc:d.persEnc||"utf8"}),k=this.n.sub(new e(1)),l=0;;l++){var q=d.k?d.k(l):new e(p.generate(this.n.byteLength())),q=this._truncateToN(q,
68!0);if(!(0>=q.cmpn(1)||0<=q.cmp(k))){var C=this.g.mul(q);if(!C.isInfinity()){var D=C.getX();g=D.umod(this.n);if(0!==g.cmpn(0)&&(q=q.invm(this.n).mul(g.mul(h.getPrivate()).iadd(a)),q=q.umod(this.n),0!==q.cmpn(0)))return a=(C.getY().isOdd()?1:0)|(0!==D.cmp(g)?2:0),d.canonical&&0<q.cmp(this.nh)&&(q=this.n.sub(q),a^=1),new n({r:g,s:q,recoveryParam:a})}}}};d.prototype.verify=function(a,b,f,g,d){d||(d={});a=this._truncateToN(a,!1,d.msgBitLength);f=this.keyFromPublic(f,g);b=new n(b,"hex");g=b.r;b=b.s;if(0>
69g.cmpn(1)||0<=g.cmp(this.n)||0>b.cmpn(1)||0<=b.cmp(this.n))return!1;b=b.invm(this.n);a=b.mul(a).umod(this.n);b=b.mul(g).umod(this.n);if(!this.curve._maxwellTrick)return f=this.g.mulAdd(a,f.getPublic(),b),f.isInfinity()?!1:0===f.getX().umod(this.n).cmp(g);f=this.g.jmulAdd(a,f.getPublic(),b);return f.isInfinity()?!1:f.eqXToP(g)};d.prototype.recoverPubKey=function(a,b,g,d){f((3&g)===g,"The recovery param is more than two bits");b=new n(b,d);d=this.n;var p=new e(a);a=b.r;var k=b.s,l=g&1;g>>=1;if(0<=a.cmp(this.curve.p.umod(this.curve.n))&&
70g)throw Error("Unable to find sencond key candinate");a=g?this.curve.pointFromX(a.add(this.curve.n),l):this.curve.pointFromX(a,l);b=b.r.invm(d);g=d.sub(p).mul(b).umod(d);d=k.mul(b).umod(d);return this.g.mulAdd(g,a,d)};d.prototype.getKeyRecoveryParam=function(a,b,f,g){b=new n(b,g);if(null!==b.recoveryParam)return b.recoveryParam;for(g=0;4>g;g++){var d;try{d=this.recoverPubKey(a,b,g)}catch(e){continue}if(d.eq(f))return g}throw Error("Unable to find valid recovery factor");}},{"../curves":7,"../utils":15,
71"./key":9,"./signature":10,"bn.js":16,brorand:17,"hmac-drbg":31}],9:[function(k,q,l){function d(b,a){this.ec=b;this.pub=this.priv=null;a.priv&&this._importPrivate(a.priv,a.privEnc);a.pub&&this._importPublic(a.pub,a.pubEnc)}var e=k("bn.js"),b=k("../utils").assert;q.exports=d;d.fromPublic=function(b,a,f){return a instanceof d?a:new d(b,{pub:a,pubEnc:f})};d.fromPrivate=function(b,a,f){return a instanceof d?a:new d(b,{priv:a,privEnc:f})};d.prototype.validate=function(){var b=this.getPublic();return b.isInfinity()?
72{result:!1,reason:"Invalid public key"}:b.validate()?b.mul(this.ec.curve.n).isInfinity()?{result:!0,reason:null}:{result:!1,reason:"Public key * N != O"}:{result:!1,reason:"Public key is not a point"}};d.prototype.getPublic=function(b,a){"string"===typeof b&&(a=b,b=null);this.pub||(this.pub=this.ec.g.mul(this.priv));return a?this.pub.encode(a,b):this.pub};d.prototype.getPrivate=function(b){return"hex"===b?this.priv.toString(16,2):this.priv};d.prototype._importPrivate=function(b,a){this.priv=new e(b,
73a||16);this.priv=this.priv.umod(this.ec.curve.n)};d.prototype._importPublic=function(g,a){g.x||g.y?("mont"===this.ec.curve.type?b(g.x,"Need x coordinate"):"short"!==this.ec.curve.type&&"edwards"!==this.ec.curve.type||b(g.x&&g.y,"Need both x and y coordinate"),this.pub=this.ec.curve.point(g.x,g.y)):this.pub=this.ec.curve.decodePoint(g,a)};d.prototype.derive=function(g){g.validate()||b(g.validate(),"public point not validated");return g.mul(this.priv).getX()};d.prototype.sign=function(b,a,f){return this.ec.sign(b,
74this,a,f)};d.prototype.verify=function(b,a,f){return this.ec.verify(b,a,this,void 0,f)};d.prototype.inspect=function(){return"<Key priv: "+(this.priv&&this.priv.toString(16,2))+" pub: "+(this.pub&&this.pub.inspect())+" >"}},{"../utils":15,"bn.js":16}],10:[function(k,q,l){function d(a,b){if(a instanceof d)return a;this._importDER(a,b)||(n(a.r&&a.s,"Signature without r or s"),this.r=new f(a.r,16),this.s=new f(a.s,16),this.recoveryParam=void 0===a.recoveryParam?null:a.recoveryParam)}function e(){this.place=
750}function b(a,b){var f=a[b.place++];if(!(f&128))return f;f&=15;if(0===f||4<f||0===a[b.place])return!1;for(var g=0,d=0,e=b.place;d<f;d++,e++)g<<=8,g|=a[e],g>>>=0;if(127>=g)return!1;b.place=e;return g}

75function g(a){for(var b=0,f=a.length-1;!(a[b]||a[b+1]&128)&&b<f;)b++;return 0===b?a:a.slice(b)}function a(a,b){if(!(128>b)){var f=1+(Math.log(b)/Math.LN2>>>3);for(a.push(f|128);--f;)a.push(b>>>(f<<3)&255)}a.push(b)}var f=k("bn.js"),p=k("../utils"),n=p.assert;q.exports=d;d.prototype._importDER=function(a,
76g){a=p.toArray(a,g);var d=new e;if(48!==a[d.place++])return!1;var n=b(a,d);if(!1===n||n+d.place!==a.length||2!==a[d.place++])return!1;var k=b(a,d);if(!1===k||0!==(a[d.place]&128))return!1;n=a.slice(d.place,k+d.place);d.place+=k;if(2!==a[d.place++])return!1;k=b(a,d);if(!1===k||a.length!==k+d.place||0!==(a[d.place]&128))return!1;d=a.slice(d.place,k+d.place);if(0===n[0])if(n[1]&128)n=n.slice(1);else return!1;if(0===d[0])if(d[1]&128)d=d.slice(1);else return!1;this.r=new f(n);this.s=new f(d);this.recoveryParam=
77null;return!0};d.prototype.toDER=function(b){var f=this.r.toArray(),d=this.s.toArray();f[0]&128&&(f=[0].concat(f));d[0]&128&&(d=[0].concat(d));f=g(f);for(d=g(d);!(d[0]||d[1]&128);)d=d.slice(1);var e=[2];a(e,f.length);e=e.concat(f);e.push(2);a(e,d.length);f=e.concat(d);d=[48];a(d,f.length);d=d.concat(f);return p.encode(d,b)}},{"../utils":15,"bn.js":16}],11:[function(k,q,l){function d(c){a("ed25519"===c,"only tested with ed25519 so far");if(!(this instanceof d))return new d(c);this.curve=c=b[c].curve;
78this.g=c.g;this.g.precompute(c.n.bitLength()+1);this.pointClass=c.point().constructor;this.encodingLength=Math.ceil(c.n.bitLength()/8);this.hash=e.sha512}var e=k("hash.js"),b=k("../curves"),g=k("../utils"),a=g.assert,f=g.parseBytes,p=k("./key"),n=k("./signature");q.exports=d;d.prototype.sign=function(a,b){a=f(a);var g=this.keyFromSecret(b),d=this.hashInt(g.messagePrefix(),a),e=this.g.mul(d),p=this.encodePoint(e),g=this.hashInt(p,g.pubBytes(),a).mul(g.priv()),d=d.add(g).umod(this.curve.n);return this.makeSignature({R:e,
79S:d,Rencoded:p})};d.prototype.verify=function(a,b,g){a=f(a);b=this.makeSignature(b);if(b.S().gte(b.eddsa.curve.n)||b.S().isNeg())return!1;g=this.keyFromPublic(g);a=this.hashInt(b.Rencoded(),g.pubBytes(),a);var d=this.g.mul(b.S());return b.R().add(g.pub().mul(a)).eq(d)};d.prototype.hashInt=function(){for(var a=this.hash(),b=0;b<arguments.length;b++)a.update(arguments[b]);return g.intFromLE(a.digest()).umod(this.curve.n)};d.prototype.keyFromPublic=function(a){return p.fromPublic(this,a)};d.prototype.keyFromSecret=
80function(a){return p.fromSecret(this,a)};d.prototype.makeSignature=function(a){return a instanceof n?a:new n(this,a)};d.prototype.encodePoint=function(a){var b=a.getY().toArray("le",this.encodingLength);b[this.encodingLength-1]|=a.getX().isOdd()?128:0;return b};d.prototype.decodePoint=function(a){a=g.parseBytes(a);var b=a.length-1,f=a.slice(0,b).concat(a[b]&-129);a=0!==(a[b]&128);f=g.intFromLE(f);return this.curve.pointFromY(f,a)};d.prototype.encodeInt=function(a){return a.toArray("le",this.encodingLength)};
81d.prototype.decodeInt=function(a){return g.intFromLE(a)};d.prototype.isPoint=function(a){return a instanceof this.pointClass}},{"../curves":7,"../utils":15,"./key":12,"./signature":13,"hash.js":19}],12:[function(k,q,l){function d(a,b){this.eddsa=a;this._secret=g(b.secret);a.isPoint(b.pub)?this._pub=b.pub:this._pubBytes=g(b.pub)}var e=k("../utils"),b=e.assert,g=e.parseBytes;k=e.cachedProperty;d.fromPublic=function(a,b){return b instanceof d?b:new d(a,{pub:b})};d.fromSecret=function(a,b){return b instanceof
82d?b:new d(a,{secret:b})};d.prototype.secret=function(){return this._secret};k(d,"pubBytes",function(){return this.eddsa.encodePoint(this.pub())});k(d,"pub",function(){return this._pubBytes?this.eddsa.decodePoint(this._pubBytes):this.eddsa.g.mul(this.priv())});k(d,"privBytes",function(){var a=this.eddsa,b=this.hash(),g=a.encodingLength-1,a=b.slice(0,a.encodingLength);a[0]&=248;a[g]&=127;a[g]|=64;return a});k(d,"priv",function(){return this.eddsa.decodeInt(this.privBytes())});k(d,"hash",function(){return this.eddsa.hash().update(this.secret()).digest()});
83k(d,"messagePrefix",function(){return this.hash().slice(this.eddsa.encodingLength)});d.prototype.sign=function(a){b(this._secret,"KeyPair can only verify");return this.eddsa.sign(a,this)};d.prototype.verify=function(a,b){return this.eddsa.verify(a,b,this)};d.prototype.getSecret=function(a){b(this._secret,"KeyPair is public only");return e.encode(this.secret(),a)};d.prototype.getPublic=function(a){return e.encode(this.pubBytes(),a)};q.exports=d},{"../utils":15}],13:[function(k,q,l){function d(b,d){this.eddsa=
84b;"object"!==typeof d&&(d=a(d));

84Array.isArray(d)&&(g(d.length===2*b.encodingLength,"Signature has invalid size"),d={R:d.slice(0,b.encodingLength),S:d.slice(b.encodingLength)});g(d.R&&d.S,"Signature without R or S");b.isPoint(d.R)&&(this._R=d.R);d.S instanceof e&&(this._S=d.S);this._Rencoded=Array.isArray(d.R)?d.R:d.Rencoded;this._Sencoded=Array.isArray(d.S)?d.S:d.Sencoded}var e=k("bn.js"),b=k("../utils"),g=b.assert;k=b.cachedProperty;var a=b.parseBytes;k(d,"S",function(){return this.eddsa.decodeInt(this.Sencoded())});
85k(d,"R",function(){return this.eddsa.decodePoint(this.Rencoded())});k(d,"Rencoded",function(){return this.eddsa.encodePoint(this.R())});k(d,"Sencoded",function(){return this.eddsa.encodeInt(this.S())});d.prototype.toBytes=function(){return this.Rencoded().concat(this.Sencoded())};d.prototype.toHex=function(){return b.encode(this.toBytes(),"hex").toUpperCase()};q.exports=d},{"../utils":15,"bn.js":16}],14:[function(k,q,l){q.exports={doubles:{step:4,points:[["e60fce93b59e9ec53011aabc21c23e97b2a31369b87a5ae9c44ee89e2a6dec0a",
86"f7e3507399e595929db99f34f57937101296891e44d23f0be1f32cce69616821"],["8282263212c609d9ea2a6e3e172de238d8c39cabd5ac1ca10646e23fd5f51508","11f8a8098557dfe45e8256e830b60ace62d613ac2f7b17bed31b6eaff6e26caf"],["175e159f728b865a72f99cc6c6fc846de0b93833fd2222ed73fce5b551e5b739","d3506e0d9e3c79eba4ef97a51ff71f5eacb5955add24345c6efa6ffee9fed695"],["363d90d447b00c9c99ceac05b6262ee053441c7e55552ffe526bad8f83ff4640","4e273adfc732221953b445397f3363145b9a89008199ecb62003c7f3bee9de9"],["8b4b5f165df3c2be8c6244b5b745638843e4a781a15bcd1b69f79a55dffdf80c",
87"4aad0a6f68d308b4b3fbd7813ab0da04f9e336546162ee56b3eff0c65fd4fd36"],["723cbaa6e5db996d6bf771c00bd548c7b700dbffa6c0e77bcb6115925232fcda","96e867b5595cc498a921137488824d6e2660a0653779494801dc069d9eb39f5f"],["eebfa4d493bebf98ba5feec812c2d3b50947961237a919839a533eca0e7dd7fa","5d9a8ca3970ef0f269ee7edaf178089d9ae4cdc3a711f712ddfd4fdae1de8999"],["100f44da696e71672791d0a09b7bde459f1215a29b3c03bfefd7835b39a48db0","cdd9e13192a00b772ec8f3300c090666b7ff4a18ff5195ac0fbd5cd62bc65a09"],["e1031be262c7ed1b1dc9227a4a04c017a77f8d4464f3b3852c8acde6e534fd2d",
88"9d7061928940405e6bb6a4176597535af292dd419e1ced79a44f18f29456a00d"],["feea6cae46d55b530ac2839f143bd7ec5cf8b266a41d6af52d5e688d9094696d","e57c6b6c97dce1bab06e4e12bf3ecd5c981c8957cc41442d3155debf18090088"],["da67a91d91049cdcb367be4be6ffca3cfeed657d808583de33fa978bc1ec6cb1","9bacaa35481642bc41f463f7ec9780e5dec7adc508f740a17e9ea8e27a68be1d"],["53904faa0b334cdda6e000935ef22151ec08d0f7bb11069f57545ccc1a37b7c0","5bc087d0bc80106d88c9eccac20d3c1c13999981e14434699dcb096b022771c8"],["8e7bcd0bd35983a7719cca7764ca906779b53a043a9b8bcaeff959f43ad86047",
89"10b7770b2a3da4b3940310420ca9514579e88e2e47fd68b3ea10047e8460372a"],["385eed34c1cdff21e6d0818689b81bde71a7f4f18397e6690a841e1599c43862","283bebc3e8ea23f56701de19e9ebf4576b304eec2086dc8cc0458fe5542e5453"],["6f9d9b803ecf191637c73a4413dfa180fddf84a5947fbc9c606ed86c3fac3a7","7c80c68e603059ba69b8e2a30e45c4d47ea4dd2f5c281002d86890603a842160"],["3322d401243c4e2582a2147c104d6ecbf774d163db0f5e5313b7e0e742d0e6bd","56e70797e9664ef5bfb019bc4ddaf9b72805f63ea2873af624f3a2e96c28b2a0"],["85672c7d2de0b7da2bd1770d89665868741b3f9af7643397721d74d28134ab83",
90"7c481b9b5b43b2eb6374049bfa62c2e5e77f17fcc5298f44c8e3094f790313a6"],["948bf809b1988a46b06c9f1919413b10f9226c60f668832ffd959af60c82a0a","53a562856dcb6646dc6b74c5d1c3418c6d4dff08c97cd2bed4cb7f88d8c8e589"],["6260ce7f461801c34f067ce0f02873a8f1b0e44dfc69752accecd819f38fd8e8","bc2da82b6fa5b571a7f09049776a1ef7ecd292238051c198c1a84e95b2b4ae17"],["e5037de0afc1d8d43d8348414bbf4103043ec8f575bfdc432953cc8d2037fa2d","4571534baa94d3b5f9f98d09fb990bddbd5f5b03ec481f10e0e5dc841d755bda"],["e06372b0f4a207adf5ea905e8f1771b4e7e8dbd1c6a6c5b725866a0ae4fce725",
91"7a908974bce18cfe12a27bb2ad5a488cd7484a7787104870b27034f94eee31dd"],["213c7a715cd5d45358d0bbf9dc0ce02204b10bdde2a3f58540ad6908d0559754","4b6dad0b5ae462507013ad06245ba190bb4850f5f36a7eeddff2c27534b458f2"],["4e7c272a7af4b34e8dbb9352a5419a87e2838c70adc62cddf0cc3a3b08fbd53c","17749c766c9d0b18e16fd09f6def681b530b9614bff7dd33e0b3941817dcaae6"],["fea74e3dbe778b1b10f238ad61686aa5c76e3db2be43057632427e2840fb27b6","6e0568db9b0b13297cf674deccb6af93126b596b973f7b77701d3db7f23cb96f"],["76e64113f677cf0e10a2570d599968d31544e179b760432952c02a4417bdde39",
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134l){var d=k("bn.js");q=k("minimalistic-assert");k=k("minimalistic-crypto-utils");l.assert=q;l.toArray=k.toArray;l.zero2=k.zero2;l.toHex=k.toHex;l.encode=k.encode;l.getNAF=function(d,b,g){g=Array(Math.max(d.bitLength(),g)+1);var a;for(a=0;a<g.length;a+=1)g[a]=0;b=1<<b+1;d=d.clone();for(a=0;a<g.length;a++){var f;f=d.andln(b-1);d.isOdd()?(f=f>(b>>1)-1?(b>>1)-f:f,d.isubn(f)):f=0;g[a]=f;d.iushrn(1)}return g};l.getJSF=function(d,b){var g=[[],[]];d=d.clone();b=b.clone();for(var a=0,f=0,p;0<d.cmpn(-a)||0<
135b.cmpn(-f);){var n=d.andln(3)+a&3,c=b.andln(3)+f&3;3===n&&(n=-1);3===c&&(c=-1);var h;0===(n&1)?h=0:(p=d.andln(7)+a&7,h=3!==p&&5!==p||2!==c?n:-n);g[0].push(h);0===(c&1)?p=0:(p=b.andln(7)+f&7,p=3!==p&&5!==p||2!==n?c:-c);g[1].push(p);2*a===h+1&&(a=1-a);2*f===p+1&&(f=1-f);d.iushrn(1);b.iushrn(1)}return g};l.cachedProperty=function(d,b,g){var a="_"+b;d.prototype[b]=function(){return void 0!==this[a]?this[a]:this[a]=g.call(this)}};l.parseBytes=function(d){return"string"===typeof d?l.toArray(d,"hex"):d};
136l.intFromLE=function(e){return new d(e,"hex","le")}},{"bn.js":16,"minimalistic-assert":33,"minimalistic-crypto-utils":34}],16:[function(k,q,l){(function(d,e){function b(m,a){if(!m)throw Error(a||"Assertion failed");}function g(m,a){m.super_=a;var b=function(){};b.prototype=a.prototype;m.prototype=new b;m.prototype.constructor=m}function a(m,ea,b){if(a.isBN(m))return m;this.negative=0;this.words=null;this.length=0;this.red=null;if(null!==m){if("le"===ea||"be"===ea)b=ea,ea=10;this._init(m||0,ea||10,
137b||"be")}}function f(m,a,b){var c=0;for(b=Math.min(m.length,b);a<b;a++)var f=m.charCodeAt(a)-48,c=c<<4,c=49<=f&&54>=f?c|f-49+10:17<=f&&22>=f?c|f-17+10:c|f&15;return c}function p(m,a,b,c){var f=0;for(b=Math.min(m.length,b);a<b;a++)var d=m.charCodeAt(a)-48,f=f*c,f=49<=d?f+(d-49+10):17<=d?f+(d-17+10):f+d;return f}function n(m,a,b){b.negative=a.negative^m.negative;var c=m.length+a.length|0;b.length=c;

137var c=c-1|0,f=m.words[0]|0,d=a.words[0]|0,f=f*d,g=f/67108864|0;b.words[0]=f&67108863;for(var h=1;h<c;h++){for(var e=
138g>>>26,p=g&67108863,g=Math.min(h,a.length-1),n=Math.max(0,h-m.length+1);n<=g;n++)f=m.words[h-n|0]|0,d=a.words[n]|0,f=f*d+p,e+=f/67108864|0,p=f&67108863;b.words[h]=p|0;g=e|0}0!==g?b.words[h]=g|0:b.length--;return b.strip()}function c(m,a){this.x=m;this.y=a}function h(m,ea){this.name=m;this.p=new a(ea,16);this.n=this.p.bitLength();this.k=(new a(1)).iushln(this.n).isub(this.p);this.tmp=this._tmp()}function l(){h.call(this,"k256","ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f")}
139function q(){h.call(this,"p224","ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001")}function E(){h.call(this,"p192","ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff")}function v(){h.call(this,"25519","7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed")}function r(m){"string"===typeof m?(m=a._prime(m),this.m=m.p,this.prime=m):(b(m.gtn(1),"modulus must be greater than 1"),this.m=m,this.prime=null)}function y(m){r.call(this,m);this.shift=this.m.bitLength();0!==this.shift%
14026&&(this.shift+=26-this.shift%26);this.r=(new a(1)).iushln(this.shift);this.r2=this.imod(this.r.sqr());this.rinv=this.r._invmp(this.m);this.minv=this.rinv.mul(this.r).isubn(1).div(this.m);this.minv=this.minv.umod(this.r);this.minv=this.r.sub(this.minv)}"object"===typeof d?d.exports=a:e.BN=a;a.BN=a;a.wordSize=26;var C;try{C=k("buffer").Buffer}catch(m){}a.isBN=function(m){return m instanceof a?!0:null!==m&&"object"===typeof m&&m.constructor.wordSize===a.wordSize&&Array.isArray(m.words)};a.max=function(m,
141a){return 0<m.cmp(a)?m:a};a.min=function(m,a){return 0>m.cmp(a)?m:a};a.prototype._init=function(m,a,c){if("number"===typeof m)return this._initNumber(m,a,c);if("object"===typeof m)return this._initArray(m,a,c);"hex"===a&&(a=16);b(a===(a|0)&&2<=a&&36>=a);m=m.toString().replace(/\s+/g,"");var f=0;"-"===m[0]&&f++;16===a?this._parseHex(m,f):this._parseBase(m,a,f);"-"===m[0]&&(this.negative=1);this.strip();"le"===c&&this._initArray(this.toArray(),a,c)};a.prototype._initNumber=function(m,a,c){0>m&&(this.negative=
1421,m=-m);67108864>m?(this.words=[m&67108863],this.length=1):4503599627370496>m?(this.words=[m&67108863,m/67108864&67108863],this.length=2):(b(9007199254740992>m),this.words=[m&67108863,m/67108864&67108863,1],this.length=3);"le"===c&&this._initArray(this.toArray(),a,c)};a.prototype._initArray=function(m,a,c){b("number"===typeof m.length);if(0>=m.length)return this.words=[0],this.length=1,this;this.length=Math.ceil(m.length/3);this.words=Array(this.length);for(a=0;a<this.length;a++)this.words[a]=0;var f,
143d=0;if("be"===c)for(a=m.length-1,c=0;0<=a;a-=3)f=m[a]|m[a-1]<<8|m[a-2]<<16,this.words[c]|=f<<d&67108863,this.words[c+1]=f>>>26-d&67108863,d+=24,26<=d&&(d-=26,c++);else if("le"===c)for(c=a=0;a<m.length;a+=3)f=m[a]|m[a+1]<<8|m[a+2]<<16,this.words[c]|=f<<d&67108863,this.words[c+1]=f>>>26-d&67108863,d+=24,26<=d&&(d-=26,c++);return this.strip()};a.prototype._parseHex=function(m,a){this.length=Math.ceil((m.length-a)/6);this.words=Array(this.length);for(var b=0;b<this.length;b++)this.words[b]=0;var c,d,
144g=0,b=m.length-6;for(c=0;b>=a;b-=6)d=f(m,b,b+6),this.words[c]|=d<<g&67108863,this.words[c+1]|=d>>>26-g&4194303,g+=24,26<=g&&(g-=26,c++);b+6!==a&&(d=f(m,a,b+6),this.words[c]|=d<<g&67108863,this.words[c+1]|=d>>>26-g&4194303);this.strip()};a.prototype._parseBase=function(m,a,b){this.words=[0];this.length=1;for(var c=0,f=1;67108863>=f;f*=a)c++;c--;for(var f=f/a|0,d=m.length-b,g=d%c,h=Math.min(d,d-g)+b,d=0;b<h;b+=c)d=p(m,b,b+c,a),this.imuln(f),67108864>this.words[0]+d?this.words[0]+=d:this._iaddn(d);if(0!==
145g){c=1;d=p(m,b,m.length,a);for(b=0;b<g;b++)c*=a;this.imuln(c);67108864>this.words[0]+d?this.words[0]+=d:this._iaddn(d)}};a.prototype.copy=function(m){m.words=Array(this.length);for(var a=0;a<this.length;a++)m.words[a]=this.words[a];m.length=this.length;m.negative=this.negative;m.red=this.red};a.prototype.clone=function(){var m=new a(null);this.copy(m);return m};a.prototype._expand=function(m){for(;this.length<m;)this.words[this.length++]=0;return this};a.prototype.strip=function(){for(;1<this.length&&
1460===this.words[this.length-1];)this.length--;return this._normSign()};a.prototype._normSign=function(){1===this.length&&0===this.words[0]&&(this.negative=0);return this};a.prototype.inspect=function(){return(this.red?"<BN-R: ":"<BN: ")+this.toString(16)+">"};var D=" 0 00 000 0000 00000 000000 0000000 00000000 000000000 0000000000 00000000000 000000000000 0000000000000 00000000000000 000000000000000 0000000000000000 00000000000000000 000000000000000000 0000000000000000000 00000000000000000000 000000000000000000000 0000000000000000000000 00000000000000000000000 000000000000000000000000 0000000000000000000000000".split(" "),
147t=[0,0,25,16,12,11,10,9,8,8,7,7,7,7,6,6,6,6,6,6,6,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5],x=[0,0,33554432,43046721,16777216,48828125,60466176,40353607,16777216,43046721,1E7,19487171,35831808,62748517,7529536,11390625,16

147777216,24137569,34012224,47045881,64E6,4084101,5153632,6436343,7962624,9765625,11881376,14348907,17210368,20511149,243E5,28629151,33554432,39135393,45435424,52521875,60466176];a.prototype.toString=function(m,a){m=m||10;a=a|0||1;var c;if(16===m||"hex"===m){c="";for(var f=0,d=0,g=0;g<this.length;g++){var h=
148this.words[g],e=((h<<f|d)&16777215).toString(16),d=h>>>24-f&16777215;c=0!==d||g!==this.length-1?D[6-e.length]+e+c:e+c;f+=2;26<=f&&(f-=26,g--)}for(0!==d&&(c=d.toString(16)+c);0!==c.length%a;)c="0"+c;0!==this.negative&&(c="-"+c);return c}if(m===(m|0)&&2<=m&&36>=m){f=t[m];d=x[m];c="";g=this.clone();for(g.negative=0;!g.isZero();)h=g.modn(d).toString(m),g=g.idivn(d),c=g.isZero()?h+c:D[f-h.length]+h+c;for(this.isZero()&&(c="0"+c);0!==c.length%a;)c="0"+c;0!==this.negative&&(c="-"+c);return c}b(!1,"Base should be between 2 and 36")};
149a.prototype.toNumber=function(){var m=this.words[0];2===this.length?m+=67108864*this.words[1]:3===this.length&&1===this.words[2]?m+=4503599627370496+67108864*this.words[1]:2<this.length&&b(!1,"Number can only safely store up to 53 bits");return 0!==this.negative?-m:m};a.prototype.toJSON=function(){return this.toString(16)};a.prototype.toBuffer=function(m,a){b("undefined"!==typeof C);return this.toArrayLike(C,m,a)};a.prototype.toArray=function(m,a){return this.toArrayLike(Array,m,a)};a.prototype.toArrayLike=
150function(m,a,c){var f=this.byteLength();c=c||Math.max(1,f);b(f<=c,"byte array longer than desired length");b(0<c,"Requested array length <= 0");this.strip();var d="le"===a;m=new m(c);a=this.clone();if(d){for(d=0;!a.isZero();d++)f=a.andln(255),a.iushrn(8),m[d]=f;for(;d<c;d++)m[d]=0}else{for(d=0;d<c-f;d++)m[d]=0;for(d=0;!a.isZero();d++)f=a.andln(255),a.iushrn(8),m[c-d-1]=f}return m};a.prototype._countBits=Math.clz32?function(m){return 32-Math.clz32(m)}:function(m){var a=0;4096<=m&&(a+=13,m>>>=13);64<=
151m&&(a+=7,m>>>=7);8<=m&&(a+=4,m>>>=4);2<=m&&(a+=2,m>>>=2);return a+m};a.prototype._zeroBits=function(m){if(0===m)return 26;var a=0;0===(m&8191)&&(a+=13,m>>>=13);0===(m&127)&&(a+=7,m>>>=7);0===(m&15)&&(a+=4,m>>>=4);0===(m&3)&&(a+=2,m>>>=2);0===(m&1)&&a++;return a};a.prototype.bitLength=function(){var m=this._countBits(this.words[this.length-1]);return 26*(this.length-1)+m};a.prototype.zeroBits=function(){if(this.isZero())return 0;for(var m=0,a=0;a<this.length;a++){var b=this._zeroBits(this.words[a]),
152m=m+b;if(26!==b)break}return m};a.prototype.byteLength=function(){return Math.ceil(this.bitLength()/8)};a.prototype.toTwos=function(m){return 0!==this.negative?this.abs().inotn(m).iaddn(1):this.clone()};a.prototype.fromTwos=function(m){return this.testn(m-1)?this.notn(m).iaddn(1).ineg():this.clone()};a.prototype.isNeg=function(){return 0!==this.negative};a.prototype.neg=function(){return this.clone().ineg()};a.prototype.ineg=function(){this.isZero()||(this.negative^=1);return this};a.prototype.iuor=
153function(m){for(;this.length<m.length;)this.words[this.length++]=0;for(var a=0;a<m.length;a++)this.words[a]|=m.words[a];return this.strip()};a.prototype.ior=function(m){b(0===(this.negative|m.negative));return this.iuor(m)};a.prototype.or=function(m){return this.length>m.length?this.clone().ior(m):m.clone().ior(this)};a.prototype.uor=function(m){return this.length>m.length?this.clone().iuor(m):m.clone().iuor(this)};a.prototype.iuand=function(m){var a;a=this.length>m.length?m:this;for(var b=0;b<a.length;b++)this.words[b]&=
154m.words[b];this.length=a.length;return this.strip()};a.prototype.iand=function(m){b(0===(this.negative|m.negative));return this.iuand(m)};a.prototype.and=function(m){return this.length>m.length?this.clone().iand(m):m.clone().iand(this)};a.prototype.uand=function(m){return this.length>m.length?this.clone().iuand(m):m.clone().iuand(this)};a.prototype.iuxor=function(m){var a;this.length>m.length?a=this:(a=m,m=this);for(var b=0;b<m.length;b++)this.words[b]=a.words[b]^m.words[b];if(this!==a)for(;b<a.length;b++)this.words[b]=
155a.words[b];this.length=a.length;return this.strip()};a.prototype.ixor=function(m){b(0===(this.negative|m.negative));return this.iuxor(m)};a.prototype.xor=function(m){return this.length>m.length?this.clone().ixor(m):m.clone().ixor(this)};a.prototype.uxor=function(m){return this.length>m.length?this.clone().iuxor(m):m.clone().iuxor(this)};a.prototype.inotn=function(m){b("number"===typeof m&&0<=m);var a=Math.ceil(m/26)|0;m%=26;this._expand(a);0<m&&a--;for(var c=0;c<a;c++)this.words[c]=~this.words[c]&
15667108863;0<m&&(this.words[c]=~this.words[c]&67108863>>26-m);return this.strip()};a.prototype.notn=function(m){return this.clone().inotn(m)};a.prototype.setn=function(m,a){b("number"===typeof m&&0<=m);var c=m/26|0,d=m%26;this._expand(c+1);this.words[c]=a?this.words[c]|1<<d:this.words[c]&~(1<<d);return this.strip()};a.prototype.iadd=function(m){var a;if(0!==this.negative&&0===m.negative)return this.negative=0,this.isub(m),this.negative^=1,this._normSign();if(0===this.negative&&0!==m.negative)return m.negative=
1570,a=this.isub(m),m.negative=1,a._normSign();var b;this.length>m.length?b=this:(b=m,m=this);for(var c=a=0;c<m.length;c++)a=(b.words[c]|0)+(m.words[c]|0)+a,this.words[c]=a&67108863,a>>>=26;for(;0!==a&&c<b.length;c++)a=(b.words[c]|0)+a,this.words[c]=a&67108863,a>>>=26;this.length=b.length;if(0!==a)this.words[this.length]=a,this.length++;else if(b!==this)for(;c<b.length;c++)this.words[c]=b.words[c];return this};a.prototype.add=function(a){var b;return 0!==a.negative&&0===this.negative?(a.negative=0,b=
158this.sub(a),a.negative^=1,b):0===a.negative&&0!==this.negative?(this.negative=0,b=a.sub(this),this.negative=1,b):this.length>a.length?this.clone().iadd(a):a.clone().iadd(this)};

158a.prototype.isub=function(a){if(0!==a.negative){a.negative=0;var b=this.iadd(a);a.negative=1;return b._normSign()}if(0!==this.negative)return this.negative=0,this.iadd(a),this.negative=1,this._normSign();b=this.cmp(a);if(0===b)return this.negative=0,this.length=1,this.words[0]=0,this;var c;0<b?c=this:(c=a,a=this);for(var d=
1590,f=0;f<a.length;f++)b=(c.words[f]|0)-(a.words[f]|0)+d,d=b>>26,this.words[f]=b&67108863;for(;0!==d&&f<c.length;f++)b=(c.words[f]|0)+d,d=b>>26,this.words[f]=b&67108863;if(0===d&&f<c.length&&c!==this)for(;f<c.length;f++)this.words[f]=c.words[f];this.length=Math.max(this.length,f);c!==this&&(this.negative=1);return this.strip()};a.prototype.sub=function(a){return this.clone().isub(a)};var A=function(a,b,c){var f=a.words,d=b.words,g=c.words,h=0,e,n=f[0]|0,p=n&8191,k=n>>>13,l=f[1]|0,n=l&8191,q=l>>>13,
160t=f[2]|0,l=t&8191,x=t>>>13,w=f[3]|0,t=w&8191,u=w>>>13,r=f[4]|0,w=r&8191,A=r>>>13,z=f[5]|0,r=z&8191,B=z>>>13,y=f[6]|0,z=y&8191,D=y>>>13,v=f[7]|0,y=v&8191,C=v>>>13,E=f[8]|0,v=E&8191,E=E>>>13,H=f[9]|0,f=H&8191,H=H>>>13,I=d[0]|0,S=I&8191,T=I>>>13,J=d[1]|0,I=J&8191,U=J>>>13,K=d[2]|0,J=K&8191,V=K>>>13,L=d[3]|0,K=L&8191,W=L>>>13,M=d[4]|0,L=M&8191,X=M>>>13,N=d[5]|0,M=N&8191,Y=N>>>13,O=d[6]|0,N=O&8191,Z=O>>>13,P=d[7]|0,O=P&8191,aa=P>>>13,Q=d[8]|0,P=Q&8191,Q=Q>>>13,R=d[9]|0,d=R&8191,R=R>>>13;c.negative=a.negative^
161b.negative;c.length=19;e=Math.imul(p,S);a=Math.imul(p,T);a=a+Math.imul(k,S)|0;b=Math.imul(k,T);var oa=(h+e|0)+((a&8191)<<13)|0,h=(b+(a>>>13)|0)+(oa>>>26)|0,oa=oa&67108863;e=Math.imul(n,S);a=Math.imul(n,T);a=a+Math.imul(q,S)|0;b=Math.imul(q,T);e=e+Math.imul(p,I)|0;a=a+Math.imul(p,U)|0;a=a+Math.imul(k,I)|0;b=b+Math.imul(k,U)|0;var pa=(h+e|0)+((a&8191)<<13)|0,h=(b+(a>>>13)|0)+(pa>>>26)|0,pa=pa&67108863;e=Math.imul(l,S);a=Math.imul(l,T);a=a+Math.imul(x,S)|0;b=Math.imul(x,T);e=e+Math.imul(n,I)|0;a=a+Math.imul(n,
162U)|0;a=a+Math.imul(q,I)|0;b=b+Math.imul(q,U)|0;e=e+Math.imul(p,J)|0;a=a+Math.imul(p,V)|0;a=a+Math.imul(k,J)|0;b=b+Math.imul(k,V)|0;var qa=(h+e|0)+((a&8191)<<13)|0,h=(b+(a>>>13)|0)+(qa>>>26)|0,qa=qa&67108863;e=Math.imul(t,S);a=Math.imul(t,T);a=a+Math.imul(u,S)|0;b=Math.imul(u,T);e=e+Math.imul(l,I)|0;a=a+Math.imul(l,U)|0;a=a+Math.imul(x,I)|0;b=b+Math.imul(x,U)|0;e=e+Math.imul(n,J)|0;a=a+Math.imul(n,V)|0;a=a+Math.imul(q,J)|0;b=b+Math.imul(q,V)|0;e=e+Math.imul(p,K)|0;a=a+Math.imul(p,W)|0;a=a+Math.imul(k,
163K)|0;b=b+Math.imul(k,W)|0;var ra=(h+e|0)+((a&8191)<<13)|0,h=(b+(a>>>13)|0)+(ra>>>26)|0,ra=ra&67108863;e=Math.imul(w,S);a=Math.imul(w,T);a=a+Math.imul(A,S)|0;b=Math.imul(A,T);e=e+Math.imul(t,I)|0;a=a+Math.imul(t,U)|0;a=a+Math.imul(u,I)|0;b=b+Math.imul(u,U)|0;e=e+Math.imul(l,J)|0;a=a+Math.imul(l,V)|0;a=a+Math.imul(x,J)|0;b=b+Math.imul(x,V)|0;e=e+Math.imul(n,K)|0;a=a+Math.imul(n,W)|0;a=a+Math.imul(q,K)|0;b=b+Math.imul(q,W)|0;e=e+Math.imul(p,L)|0;a=a+Math.imul(p,X)|0;a=a+Math.imul(k,L)|0;b=b+Math.imul(k,
164X)|0;var sa=(h+e|0)+((a&8191)<<13)|0,h=(b+(a>>>13)|0)+(sa>>>26)|0,sa=sa&67108863;e=Math.imul(r,S);a=Math.imul(r,T);a=a+Math.imul(B,S)|0;b=Math.imul(B,T);e=e+Math.imul(w,I)|0;a=a+Math.imul(w,U)|0;a=a+Math.imul(A,I)|0;b=b+Math.imul(A,U)|0;e=e+Math.imul(t,J)|0;a=a+Math.imul(t,V)|0;a=a+Math.imul(u,J)|0;b=b+Math.imul(u,V)|0;e=e+Math.imul(l,K)|0;a=a+Math.imul(l,W)|0;a=a+Math.imul(x,K)|0;b=b+Math.imul(x,W)|0;e=e+Math.imul(n,L)|0;a=a+Math.imul(n,X)|0;a=a+Math.imul(q,L)|0;b=b+Math.imul(q,X)|0;e=e+Math.imul(p,
165M)|0;a=a+Math.imul(p,Y)|0;a=a+Math.imul(k,M)|0;b=b+Math.imul(k,Y)|0;var ta=(h+e|0)+((a&8191)<<13)|0,h=(b+(a>>>13)|0)+(ta>>>26)|0,ta=ta&67108863;e=Math.imul(z,S);a=Math.imul(z,T);a=a+Math.imul(D,S)|0;b=Math.imul(D,T);e=e+Math.imul(r,I)|0;a=a+Math.imul(r,U)|0;a=a+Math.imul(B,I)|0;b=b+Math.imul(B,U)|0;e=e+Math.imul(w,J)|0;a=a+Math.imul(w,V)|0;a=a+Math.imul(A,J)|0;b=b+Math.imul(A,V)|0;e=e+Math.imul(t,K)|0;a=a+Math.imul(t,W)|0;a=a+Math.imul(u,K)|0;b=b+Math.imul(u,W)|0;e=e+Math.imul(l,L)|0;a=a+Math.imul(l,
166X)|0;a=a+Math.imul(x,L)|0;b=b+Math.imul(x,X)|0;e=e+Math.imul(n,M)|0;a=a+Math.imul(n,Y)|0;a=a+Math.imul(q,M)|0;b=b+Math.imul(q,Y)|0;e=e+Math.imul(p,N)|0;a=a+Math.imul(p,Z)|0;a=a+Math.imul(k,N)|0;b=b+Math.imul(k,Z)|0;var ua=(h+e|0)+((a&8191)<<13)|0,h=(b+(a>>>13)|0)+(ua>>>26)|0,ua=ua&67108863;e=Math.imul(y,S);a=Math.imul(y,T);a=a+Math.imul(C,S)|0;b=Math.imul(C,T);e=e+Math.imul(z,I)|0;

166a=a+Math.imul(z,U)|0;a=a+Math.imul(D,I)|0;b=b+Math.imul(D,U)|0;e=e+Math.imul(r,J)|0;a=a+Math.imul(r,V)|0;a=a+Math.imul(B,
167J)|0;b=b+Math.imul(B,V)|0;e=e+Math.imul(w,K)|0;a=a+Math.imul(w,W)|0;a=a+Math.imul(A,K)|0;b=b+Math.imul(A,W)|0;e=e+Math.imul(t,L)|0;a=a+Math.imul(t,X)|0;a=a+Math.imul(u,L)|0;b=b+Math.imul(u,X)|0;e=e+Math.imul(l,M)|0;a=a+Math.imul(l,Y)|0;a=a+Math.imul(x,M)|0;b=b+Math.imul(x,Y)|0;e=e+Math.imul(n,N)|0;a=a+Math.imul(n,Z)|0;a=a+Math.imul(q,N)|0;b=b+Math.imul(q,Z)|0;e=e+Math.imul(p,O)|0;a=a+Math.imul(p,aa)|0;a=a+Math.imul(k,O)|0;b=b+Math.imul(k,aa)|0;var va=(h+e|0)+((a&8191)<<13)|0,h=(b+(a>>>13)|0)+(va>>>
16826)|0,va=va&67108863;e=Math.imul(v,S);a=Math.imul(v,T);a=a+Math.imul(E,S)|0;b=Math.imul(E,T);e=e+Math.imul(y,I)|0;a=a+Math.imul(y,U)|0;a=a+Math.imul(C,I)|0;b=b+Math.imul(C,U)|0;e=e+Math.imul(z,J)|0;a=a+Math.imul(z,V)|0;a=a+Math.imul(D,J)|0;b=b+Math.imul(D,V)|0;e=e+Math.imul(r,K)|0;a=a+Math.imul(r,W)|0;a=a+Math.imul(B,K)|0;b=b+Math.imul(B,W)|0;e=e+Math.imul(w,L)|0;a=a+Math.imul(w,X)|0;a=a+Math.imul(A,L)|0;b=b+Math.imul(A,X)|0;e=e+Math.imul(t,M)|0;a=a+Math.imul(t,Y)|0;a=a+Math.imul(u,M)|0;b=b+Math.imul(u,
169Y)|0;e=e+Math.imul(l,N)|0;a=a+Math.imul(l,Z)|0;a=a+Math.imul(x,N)|0;b=b+Math.imul(x,Z)|0;e=e+Math.imul(n,O)|0;a=a+Math.imul(n,aa)|0;a=a+Math.imul(q,O)|0;b=b+Math.imul(q,aa)|0;e=e+Math.imul(p,P)|0;a=a+Math.imul(p,Q)|0;a=a+Math.imul(k,P)|0;b=b+Math.imul(k,Q)|0;var wa=(h+e|0)+((a&8191)<<13)|0,h=(b+(a>>>13)|0)+(wa>>>26)|0,wa=wa&67108863;e=Math.imul(f,S);a=Math.imul(f,T);a=a+Math.imul(H,S)|0;b=Math.imul(H,T);e=e+Math.imul(v,I)|0;a=a+Math.imul(v,U)|0;a=a+Math.imul(E,I)|0;b=b+Math.imul(E,U)|0;e=e+Math.imul(y,
170J)|0;a=a+Math.imul(y,V)|0;a=a+Math.imul(C,J)|0;b=b+Math.imul(C,V)|0;e=e+Math.imul(z,K)|0;a=a+Math.imul(z,W)|0;a=a+Math.imul(D,K)|0;b=b+Math.imul(D,W)|0;e=e+Math.imul(r,L)|0;a=a+Math.imul(r,X)|0;a=a+Math.imul(B,L)|0;b=b+Math.imul(B,X)|0;e=e+Math.imul(w,M)|0;a=a+Math.imul(w,Y)|0;a=a+Math.imul(A,M)|0;b=b+Math.imul(A,Y)|0;e=e+Math.imul(t,N)|0;a=a+Math.imul(t,Z)|0;a=a+Math.imul(u,N)|0;b=b+Math.imul(u,Z)|0;e=e+Math.imul(l,O)|0;a=a+Math.imul(l,aa)|0;a=a+Math.imul(x,O)|0;b=b+Math.imul(x,aa)|0;e=e+Math.imul(n,
171P)|0;a=a+Math.imul(n,Q)|0;a=a+Math.imul(q,P)|0;b=b+Math.imul(q,Q)|0;e=e+Math.imul(p,d)|0;a=a+Math.imul(p,R)|0;a=a+Math.imul(k,d)|0;b=b+Math.imul(k,R)|0;p=(h+e|0)+((a&8191)<<13)|0;h=(b+(a>>>13)|0)+(p>>>26)|0;p&=67108863;e=Math.imul(f,I);a=Math.imul(f,U);a=a+Math.imul(H,I)|0;b=Math.imul(H,U);e=e+Math.imul(v,J)|0;a=a+Math.imul(v,V)|0;a=a+Math.imul(E,J)|0;b=b+Math.imul(E,V)|0;e=e+Math.imul(y,K)|0;a=a+Math.imul(y,W)|0;a=a+Math.imul(C,K)|0;b=b+Math.imul(C,W)|0;e=e+Math.imul(z,L)|0;a=a+Math.imul(z,X)|0;
172a=a+Math.imul(D,L)|0;b=b+Math.imul(D,X)|0;e=e+Math.imul(r,M)|0;a=a+Math.imul(r,Y)|0;a=a+Math.imul(B,M)|0;b=b+Math.imul(B,Y)|0;e=e+Math.imul(w,N)|0;a=a+Math.imul(w,Z)|0;a=a+Math.imul(A,N)|0;b=b+Math.imul(A,Z)|0;e=e+Math.imul(t,O)|0;a=a+Math.imul(t,aa)|0;a=a+Math.imul(u,O)|0;b=b+Math.imul(u,aa)|0;e=e+Math.imul(l,P)|0;a=a+Math.imul(l,Q)|0;a=a+Math.imul(x,P)|0;b=b+Math.imul(x,Q)|0;e=e+Math.imul(n,d)|0;a=a+Math.imul(n,R)|0;a=a+Math.imul(q,d)|0;b=b+Math.imul(q,R)|0;n=(h+e|0)+((a&8191)<<13)|0;h=(b+(a>>>
17313)|0)+(n>>>26)|0;n&=67108863;e=Math.imul(f,J);a=Math.imul(f,V);a=a+Math.imul(H,J)|0;b=Math.imul(H,V);e=e+Math.imul(v,K)|0;a=a+Math.imul(v,W)|0;a=a+Math.imul(E,K)|0;b=b+Math.imul(E,W)|0;e=e+Math.imul(y,L)|0;a=a+Math.imul(y,X)|0;a=a+Math.imul(C,L)|0;b=b+Math.imul(C,X)|0;e=e+Math.imul(z,M)|0;a=a+Math.imul(z,Y)|0;a=a+Math.imul(D,M)|0;b=b+Math.imul(D,Y)|0;e=e+Math.imul(r,N)|0;a=a+Math.imul(r,Z)|0;a=a+Math.imul(B,N)|0;b=b+Math.imul(B,Z)|0;e=e+Math.imul(w,O)|0;a=a+Math.imul(w,aa)|0;a=a+Math.imul(A,O)|0;
174b=b+Math.imul(A,aa)|0;e=e+Math.imul(t,P)|0;a=a+Math.imul(t,Q)|0;a=a+Math.imul(u,P)|0;b=b+Math.imul(u,Q)|0;e=e+Math.imul(l,d)|0;a=a+Math.imul(l,R)|0;a=a+Math.imul(x,d)|0;b=b+Math.imul(x,R)|0;l=(h+e|0)+((a&8191)<<13)|0;h=(b+(a>>>13)|0)+(l>>>26)|0;l&=67108863;e=Math.imul(f,K);a=Math.imul(f,W);a=a+Math.imul(H,K)|0;b=Math.imul(H,W);e=e+Math.imul(v,L)|0;a=a+Math.imul(v,X)|0;a=a+Math.imul(E,L)|0;b=b+Math.imul(E,X)|0;e=e+Math.imul(y,M)|0;a=a+Math.imul(y,Y)|0;a=a+Math.imul(C,M)|0;b=b+Math.imul(C,Y)|0;e=e+
175Math.imul(z,N)|0;a=a+Math.imul(z,Z)|0;a=a+Math.imul(D,N)|0;b=b+Math.imul(D,Z)|0;e=e+Math.imul(r,O)|0;a=a+Math.imul(r,aa)|0;a=a+Math.imul(B,O)|0;b=b+Math.imul(B,aa)|0;e=e+Math.imul(w,P)|0;a=a+Math.imul(w,Q)|0;a=a+Math.imul(A,P)|0;b=b+Math.imul(A,Q)|0;e=e+Math.imul(t,d)|0;a=a+Math.imul(t,R)|0;a=a+Math.imul(u,d)|0;b=b+Math.imul(u,R)|0;t=(h+e|0)+((a&8191)<<13)|0;h=(b+(a>>>13)|0)+(t>>>26)|0;t&=67108863;e=Math.imul(f,L);a=Math.imul(f,X);a=a+Math.imul(H,L)|0;b=Math.imul(H,X);e=e+Math.imul(v,M)|0;a=a+Math.imul(v,
176Y)|0;a=a+Math.imul(E,M)|0;b=b+Math.imul(E,Y)|0;e=e+Math.imul(y,N)|0;a=a+Math.imul(y,Z)|0;a=a+Math.imul(C,N)|0;b=b+Math.imul(C,Z)|0;e=e+Math.imul(z,O)|0;a=a+Math.imul(z,aa)|0;a=a+Math.imul(D,O)|0;b=b+Math.imul(D,aa)|0;e=e+Math.imul(r,P)|0;a=a+Math.imul(r,Q)|0;a=a+Math.imul(B,P)|0;b=b+Math.imul(B,Q)|0;e=e+Math.imul(w,d)|0;a=a+Math.imul(w,R)|0;a=a+Math.imul(A,d)|0;b=b+Math.imul(A,R)|0;w=(h+e|0)+((a&8191)<<13)|0;h=(b+(a>>>13)|0)+(w>>>26)|0;w&=67108863;e=Math.imul(f,M);a=Math.imul(f,Y);a=a+Math.imul(H,
177M)|0;b=Math.imul(H,Y);e=e+Math.imul(v,N)|0;a=a+Math.imul(v,Z)|0;a=a+Math.imul(E,N)|0;b=b+Math.imul(E,Z)|0;e=e+Math.imul(y,O)|0;a=a+Math.imul(y,aa)|0;a=a+Math.imul(C,O)|0;b=b+Math.imul(C,aa)|0;e=e+Math.imul(z,P)|0;a=a+Math.imul(z,Q)|0;a=a+Math.imul(D,P)|0;b=b+Math.imul(D,Q)|0;e=e+Math.imul(r,d)|0;a=a+Math.imul(r,R)|0;a=a+Math.imul(B,d)|0;b=b+Math.imul(B,R)|0;r=(h+e|0)+((a&8191)<<13)|0;h=(b+(a>>>13)|0)+(r>>>26)|0;r&=67108863;e=Math.imul(f,N);a=Math.imul(f,Z);a=a+Math.imul(H,N)|0;b=Math.imul(H,Z);e=
178e+Math.imul(v,O)|0;a=a+Math.imul(v,aa)|0;a=a+Math.imul(E,O)|0;b=b+Math.imul(E,aa)|0;e=e+Math.imul(y,P)|0;a=a+Math.imul(y,Q)|0;a=a+Math.imul(C,P)|0;b=b+Math.imul(C,Q)|0;e=e+Math.imul(z,d)|0;a=a+Math.imul(z,R)|0;a=a+Math.imul(D,d)|0;b=b+Math.imul(D,R)|0;z=(h+e|0)+((a&8191)<<13)|0;h=(b+(a>>>13)|0)+(z>>>26)|0;z&=67108863;e=Math.imul(f,O);a=Math.imul(f,aa);a=a+Math.imul(H,O)|0;b=Math.imul(H,aa);e=e+Math.imul(v,P)|0;a=a+Math.imul(v,Q)|0;a=a+Math.imul(E,P)|0;b=b+Math.imul(E,Q)|0;e=e+Math.imul(y,d)|0;a=a+
179Math.imul(y,R)|0;a=a+Math.imul(C,d)|0;b=b+Math.imul(C,R)|0;y=(h+e|0)+((a&8191)<<13)|0;h=(b+(a>>>13)|0)+(y>>>26)|0;y&=67108863;e=Math.imul(f,P);a=Math.imul(f,Q);a=a+Math.imul(H,P)|0;b=Math.imul(H,Q);e=e+Math.imul(v,d)|0;a=a+Math.imul(v,R)|0;a=a+Math.imul(E,d)|0;b=b+Math.imul(E,R)|0;v=(h+e|0)+((a&8191)<<13)|0;h=(b+(a>>>13)|0)+(v>>>26)|0;v&=67108863;e=Math.imul(f,d);a=Math.imul(f,R);a=a+Math.imul(H,d)|0;b=Math.imul(H,R);k=(h+e|0)+((a&8191)<<13)|0;h=(b+(a>>>13)|0)+(k>>>26)|0;g[0]=oa;g[1]=pa;g[2]=qa;g[3]=
180ra;g[4]=sa;g[5]=ta;g[6]=ua;g[7]=va;g[8]=wa;g[9]=p;g[10]=n;g[11]=l;g[12]=t;g[13]=w;g[14]=r;g[15]=z;g[16]=y;g[17]=v;g[18]=k&67108863;0!==h&&(g[19]=h,c.length++);return c};Math.imul||(A=n);a.prototype.mulTo=function(a,b){var f;f=this.length+a.length;if(10===this.length&&10===a.length)f=A(this,a,b);else if(63>f)f=n(this,a,b);else if(1024>f){b.negative=a.negative^this.negative;b.length=this.length+a.length;for(var d=0,e=f=0;e<b.length-1;e++){var g=f;f=0;for(var d=d&67108863,h=Math.min(e,a.length-1),p=
181Math.max(0,e-this.length+1);p<=h;p++){var k=(this.words[e-p]|0)*(a.words[p]|0),l=k&67108863,g=g+(k/67108864|0)|0,l=l+d|0,d=l&67108863,g=g+(l>>>26)|0;f+=g>>>26;g&=67108863}b.words[e]=d;d=g}0!==d?b.words[e]=d:b.length--;f=b.strip()}else f=(new c).mulp(this,a,b);return f};c.prototype.makeRBT=function(b){for(var c=Array(b),f=a.prototype._countBits(b)-1,d=0;d<b;d++)c[d]=this.revBin(d,f,b);return c};c.prototype.revBin=function(a,b,c){if(0===a||a===c-1)return a;for(var f=c=0;f<b;f++)c|=(a&1)<<b-f-1,a>>=
1821;return c};c.prototype.permute=function(a,b,c,f,d,e){for(var g=0;g<e;g++)f[g]=b[a[g]],d[g]=c[a[g]]};c.prototype.transform=function(a,b,c,f,d,e){this.permute(e,a,b,c,f,d);for(a=1;a<d;a<<=1){b=a<<1;e=Math.cos(2*Math.PI/b);for(var g=Math.sin(2*Math.PI/b),h=0;h<d;h+=b)for(var p=e,n=g,k=0;k<a;k++){var l=c[h+k],q=f[h+k],t=c[h+k+a],x=f[h+k+a],u=p*t-n*x,x=p*x+n*t,t=u;c[h+k]=l+t;f[h+k]=q+x;c[h+k+a]=l-t;f[h+k+a]=q-x;k!==b&&(u=e*p-g*n,n=e*n+g*p,p=u)}}};c.prototype.guessLen13b=function(a,b){for(var c=Math.max(b,
183a)|1,f=c&1,d=0,c=c/2|0;c;c>>>=1)d++;return 1<<d+1+f};c.prototype.conjugate=function(a,b,c){if(!(1>=c))for(var f=0;f<c/2;f++){var d=a[f];a[f]=a[c-f-1];a[c-f-1]=d;d=b[f];b[f]=-b[c-f-1];b[c-f-1]=-d}};c.prototype.normalize13b=function(a,b){for(var c=0,f=0;f<b/2;f++)c=8192*Math.round(a[2*f+1]/b)+Math.round(a[2*f]/b)+c,a[f]=c&67108863,c=67108864>c?0:c/67108864|0;return a};c.prototype.convert13b=function(a,c,f,d){for(var e=0,g=0;g<c;g++)e+=a[g]|0,f[2*g]=e&8191,e>>>=13,f[2*g+1]=e&8191,e>>>=13;for(g=2*c;g<
184d;++g)f[g]=0;b(0===e);b(0===(e&-8192))};c.prototype.stub=function(a){for(var b=Array(a),c=0;c<a;c++)b[c]=0;return b};c.prototype.mulp=function(a,b,c){var f=2*this.guessLen13b(a.length,b.length),d=this.makeRBT(f),e=this.stub(f),g=Array(f),h=Array(f),p=Array(f),n=Array(f),k=Array(f),l=Array(f),q=c.words;q.length=f;this.convert13b(a.words,a.length,g,f);this.convert13b(b.words,b.length,n,f);this.transform(g,e,h,p,f,d);this.transform(n,e,k,l,f,d);for(g=0;g<f;g++)n=h[g]*k[g]-p[g]*l[g],p[g]=h[g]*l[g]+p[g]*
185k[g],h[g]=n;this.conjugate(h,p,f);this.transform(h,p,q,e,f,d);this.conjugate(q,e,f);this.normalize13b(q,f);c.negative=a.negative^b.negative;c.length=a.length+b.length;return c.strip()};a.prototype.mul=function(b){var c=new a(null);c.words=Array(this.length+b.length);return this.mulTo(b,c)};a.prototype.mulf=function(b){var f=new a(null);f.words=Array(this.length+b.length);return(new c).mulp(this,b,f)};a.prototype.imul=function(a){return this.clone().mulTo(a,this)};a.prototype.imuln=function(a){b("number"===
186typeof a);b(67108864>a);for(var c=0,f=0;f<this.length;f++){var d=(this.words[f]|0)*a,e=(d&67108863)+(c&67108863),c=c>>26,c=c+(d/67108864|0),c=c+(e>>>26);this.words[f]=e&67108863}0!==c&&(this.words[f]=c,this.length++);return this};a.prototype.muln=function(a){return this.clone().imuln(a)};a.prototype.sqr=function(){return this.mul(this)};a.prototype.isqr=function(){return this.imul(this.clone())};a.prototype.pow=function(b){for(var c=Array(b.bitLength()),f=0;f<c.length;f++){var d=f%26;c[f]=(b.words[f/
18726|0]&1<<d)>>>d}if(0===c.length)return new a(1);b=this;for(f=0;f<c.length&&0===c[f];f++,b=b.sqr());if(++f<c.length)for(d=b.sqr();f<c.length;f++,d=d.sqr())0!==c[f]&&(b=b.mul(d));return b};a.prototype.iushln=function(a){b("number"===typeof a&&0<=a);var c=a%26;a=(a-c)/26;var f=67108863>>>26-c<<26-c,d;if(0!==c){var e=0;for(d=0;d<this.length;d++){var g=this.words[d]&f;this.words[d]=(this.words[d]|0)-g<<c|e;e=g>>>26-c}e&&(this.words[d]=e,this.length++)}if(0!==a){for(d=this.length-1;0<=d;d--)this.words[d+
188a]=this.words[d];for(d=0;d<a;d++)this.words[d]=0;this.length+=a}return this.strip()};a.prototype.ishln=function(a){b(0===this.negative);return this.iushln(a)};a.prototype.iushrn=function(a,c,f){b("number"===typeof a&&0<=a);var d=a%26,e=Math.min((a-d)/26,this.length);a=67108863^67108863>>>d<<d;c=(c?(c-c%26)/26:0)-e;c=Math.max(0,c);if(f){for(var g=0;g<e;g++)f.words[g]=this.words[g];f.length=e}if(0!==e)if(this.length>e)for(this.length-=e,g=0;g<this.length;g++)this.words[g]=this.words[g+e];else this.words[0]=
1890,this.length=1;e=0;for(g=this.length-1;0<=g&&(0!==e||g>=c);g--){var h=this.words[g]|0;this.words[g]=e<<26-d|h>>>d;e=h&a}f&&0!==e&&(f.words[f.length++]=e);0===this.length&&(this.words[0]=0,this.length=1);return this.strip()};a.prototype.ishrn=function(a,c,f){b(0===this.negative);return this.iushrn(a,c,f)};a.prototype.shln=function(a){return this.clone().ishln(a)};a.prototype.ushln=function(a){return this.clone().iushln(a)};a.prototype.shrn=function(a){return this.clone().ishrn(a)};a.prototype.ushrn=
190function(a){return this.clone().iushrn(a)};a.prototype.testn=function(a){b("number"===typeof a&&0<=a);var c=a%26;a=(a-c)/26;return this.length<=a?!1:!!(this.words[a]&1<<c)};a.prototype.imaskn=function(a){b("number"===typeof a&&0<=a);var c=a%26;a=(a-c)/26;b(0===this.negative,"imaskn works only with positive numbers");if(this.length<=a)return this;0!==c&&a++;this.length=Math.min(a,this.length);0!==c&&(this.words[this.length-1]&=67108863^67108863>>>c<<c);return this.strip()};a.prototype.maskn=function(a){return this.clone().imaskn(a)};
191a.prototype.iaddn=function(a){b("number"===typeof a);b(67108864>a);if(0>a)return this.isubn(-a);if(0!==this.negative){if(1===this.length&&(this.words[0]|0)<a)return this.words[0]=a-(this.words[0]|0),this.negative=0,this;this.negative=0;this.isubn(a);this.negative=1;return this}return this._iaddn(a)};a.prototype._iaddn=function(a){this.words[0]+=a;for(a=0;a<this.length&&67108864<=this.words[a];a++)this.words[a]-=67108864,a===this.length-1?this.words[a+1]=1:this.words[a+1]++;this.length=Math.max(this.length,
192a+1);return this};a.prototype.isubn=function(a){b("number"===typeof a);b(67108864>a);if(0>a)return this.iaddn(-a);if(0!==this.negative)return this.negative=0,this.iaddn(a),this.negative=1,this;this.words[0]-=a;if(1===this.length&&0>this.words[0])this.words[0]=-this.words[0],this.negative=1;else for(a=0;a<this.length&&0>this.words[a];a++)this.words[a]+=67108864,--this.words[a+1];return this.strip()};a.prototype.addn=function(a){return this.clone().iaddn(a)};a.prototype.subn=function(a){return this.clone().isubn(a)};
193a.prototype.iabs=function(){this.negative=0;return this};a.prototype.abs=function(){return this.clone().iabs()};a.prototype._ishlnsubmul=function(a,c,f){var d;this._expand(a.length+f);var e,g=0;for(d=0;d<a.length;d++)e=(this.words[d+f]|0)+g,g=(a.words[d]|0)*c,e-=g&67108863,g=(e>>26)-(g/67108864|0),this.words[d+f]=e&67108863;for(;d<this.length-f;d++)e=(this.words[d+f]|0)+g,g=e>>26,this.words[d+f]=e&67108863;if(0===g)return this.strip();b(-1===g);for(d=g=0;d<this.length;d++)e=-(this.words[d]|0)+g,g=
194e>>26,this.words[d]=e&67108863;this.negative=1;return this.strip()};a.prototype._wordDiv=function(b,c){var f=this.length-b.length,d=this.clone(),e=b,g=e.words[e.length-1]|0,f=26-this._countBits(g);0!==f&&(e=e.ushln(f),d.iushln(f),g=e.words[e.length-1]|0);var h=d.length-e.length,p;if("mod"!==c){p=new a(null);p.length=h+1;p.words=Array(p.length);for(var n=0;n<p.length;n++)p.words[n]=0}n=d.clone()._ishlnsubmul(e,1,h);0===n.negative&&(d=n,p&&(p.words[h]=1));for(--h;0<=h;h--){n=67108864*(d.words[e.length+
195h]|0)+(d.words[e.length+h-1]|0);n=Math.min(n/g|0,67108863);for(d._ishlnsubmul(e,n,h);0!==d.negative;)n--,d.negative=0,d._ishlnsubmul(e,1,h),d.isZero()||(d.negative^=1);p&&(p.words[h]=n)}p&&p.strip();d.strip();"div"!==c&&0!==f&&d.iushrn(f);return{div:p||null,mod:d}};a.prototype.divmod=function(c,f,d){b(!c.isZero());if(this.isZero())return{div:new a(0),mod:new a(0)};var e,g,h;return 0!==this.negative&&0===c.negative?(h=this.neg().divmod(c,f),"mod"!==f&&(e=h.div.neg()),"div"!==f&&(g=h.mod.neg(),d&&0!==
196g.negative&&g.iadd(c)),{div:e,mod:g}):0===this.negative&&0!==c.negative?(h=this.divmod(c.neg(),f),"mod"!==f&&(e=h.div.neg()),{div:e,mod:h.mod}):0!==(this.negative&c.negative)?(h=this.neg().divmod(c.neg(),f),"div"!==f&&(g=h.mod.neg(),d&&0!==g.negative&&g.isub(c)),{div:h.div,mod:g}):c.length>this.length||0>this.cmp(c)?{div:new a(0),mod:this}:1===c.length?"div"===f?{div:this.divn(c.words[0]),mod:null}:"mod"===f?{div:null,mod:new a(this.modn(c.words[0]))}:{div:this.divn(c.words[0]),mod:new a(this.modn(c.words[0]))}:
197this._wordDiv(c,f)};a.prototype.div=function(a){return this.divmod(a,"div",!1).div};a.prototype.mod=function(a){return this.divmod(a,"mod",!1).mod};a.prototype.umod=function(a){return this.divmod(a,"mod",!0).mod};a.prototype.divRound=function(a){var b=this.divmod(a);if(b.mod.isZero())return b.div;var c=0!==b.div.negative?b.mod.isub(a):b.mod,f=a.ushrn(1);a=a.andln(1);c=c.cmp(f);return 0>c||1===a&&0===c?b.div:0!==b.div.negative?b.div.isubn(1):b.div.iaddn(1)};a.prototype.modn=function(a){b(67108863>=
198a);for(var c=67108864%a,f=0,d=this.length-1;0<=d;d--)f=(c*f+(this.words[d]|0))%a;return f};a.prototype.idivn=function(a){b(67108863>=a);for(var c=0,f=this.length-1;0<=f;f--)c=(this.words[f]|0)+67108864*c,this.words[f]=c/a|0,c%=a;return this.strip()};a.prototype.divn=function(a){return this.clone().idivn(a)};a.prototype.egcd=function(c){b(0===c.negative);b(!c.isZero());var f=this,d=c.clone(),f=0!==f.negative?f.umod(c):f.clone();c=new a(1);for(var e=new a(0),g=new a(0),h=new a(1),p=0;f.isEven()&&d.isEven();)f.iushrn(1),
199d.iushrn(1),

199++p;for(var n=d.clone(),k=f.clone();!f.isZero();){for(var l=0,q=1;0===(f.words[0]&q)&&26>l;++l,q<<=1);if(0<l)for(f.iushrn(l);0<l--;){if(c.isOdd()||e.isOdd())c.iadd(n),e.isub(k);c.iushrn(1);e.iushrn(1)}l=0;for(q=1;0===(d.words[0]&q)&&26>l;++l,q<<=1);if(0<l)for(d.iushrn(l);0<l--;){if(g.isOdd()||h.isOdd())g.iadd(n),h.isub(k);g.iushrn(1);h.iushrn(1)}0<=f.cmp(d)?(f.isub(d),c.isub(g),e.isub(h)):(d.isub(f),g.isub(c),h.isub(e))}return{a:g,b:h,gcd:d.iushln(p)}};a.prototype._invmp=function(c){b(0===
200c.negative);b(!c.isZero());for(var f=this,d=c.clone(),f=0!==f.negative?f.umod(c):f.clone(),e=new a(1),g=new a(0),h=d.clone();0<f.cmpn(1)&&0<d.cmpn(1);){for(var p=0,n=1;0===(f.words[0]&n)&&26>p;++p,n<<=1);if(0<p)for(f.iushrn(p);0<p--;)e.isOdd()&&e.iadd(h),e.iushrn(1);p=0;for(n=1;0===(d.words[0]&n)&&26>p;++p,n<<=1);if(0<p)for(d.iushrn(p);0<p--;)g.isOdd()&&g.iadd(h),g.iushrn(1);0<=f.cmp(d)?(f.isub(d),e.isub(g)):(d.isub(f),g.isub(e))}f=0===f.cmpn(1)?e:g;0>f.cmpn(0)&&f.iadd(c);return f};a.prototype.gcd=
201function(a){if(this.isZero())return a.abs();if(a.isZero())return this.abs();var b=this.clone();a=a.clone();b.negative=0;for(var c=a.negative=0;b.isEven()&&a.isEven();c++)b.iushrn(1),a.iushrn(1);do{for(;b.isEven();)b.iushrn(1);for(;a.isEven();)a.iushrn(1);var f=b.cmp(a);if(0>f)f=b,b=a,a=f;else if(0===f||0===a.cmpn(1))break;b.isub(a)}while(1);return a.iushln(c)};a.prototype.invm=function(a){return this.egcd(a).a.umod(a)};a.prototype.isEven=function(){return 0===(this.words[0]&1)};a.prototype.isOdd=
202function(){return 1===(this.words[0]&1)};a.prototype.andln=function(a){return this.words[0]&a};a.prototype.bincn=function(a){b("number"===typeof a);var c=a%26;a=(a-c)/26;c=1<<c;if(this.length<=a)return this._expand(a+1),this.words[a]|=c,this;for(;0!==c&&a<this.length;a++){var f=this.words[a]|0,f=f+c,c=f>>>26,f=f&67108863;this.words[a]=f}0!==c&&(this.words[a]=c,this.length++);return this};a.prototype.isZero=function(){return 1===this.length&&0===this.words[0]};a.prototype.cmpn=function(a){var c=0>
203a;if(0!==this.negative&&!c)return-1;if(0===this.negative&&c)return 1;this.strip();1<this.length?a=1:(c&&(a=-a),b(67108863>=a,"Number is too big"),c=this.words[0]|0,a=c===a?0:c<a?-1:1);return 0!==this.negative?-a|0:a};a.prototype.cmp=function(a){if(0!==this.negative&&0===a.negative)return-1;if(0===this.negative&&0!==a.negative)return 1;a=this.ucmp(a);return 0!==this.negative?-a|0:a};a.prototype.ucmp=function(a){if(this.length>a.length)return 1;if(this.length<a.length)return-1;for(var b=0,c=this.length-
2041;0<=c;c--){var f=this.words[c]|0,d=a.words[c]|0;if(f!==d){f<d?b=-1:f>d&&(b=1);break}}return b};a.prototype.gtn=function(a){return 1===this.cmpn(a)};a.prototype.gt=function(a){return 1===this.cmp(a)};a.prototype.gten=function(a){return 0<=this.cmpn(a)};a.prototype.gte=function(a){return 0<=this.cmp(a)};a.prototype.ltn=function(a){return-1===this.cmpn(a)};a.prototype.lt=function(a){return-1===this.cmp(a)};a.prototype.lten=function(a){return 0>=this.cmpn(a)};a.prototype.lte=function(a){return 0>=this.cmp(a)};
205a.prototype.eqn=function(a){return 0===this.cmpn(a)};a.prototype.eq=function(a){return 0===this.cmp(a)};a.red=function(a){return new r(a)};a.prototype.toRed=function(a){b(!this.red,"Already a number in reduction context");b(0===this.negative,"red works only with positives");return a.convertTo(this)._forceRed(a)};a.prototype.fromRed=function(){b(this.red,"fromRed works only with numbers in reduction context");return this.red.convertFrom(this)};a.prototype._forceRed=function(a){this.red=a;return this};
206a.prototype.forceRed=function(a){b(!this.red,"Already a number in reduction context");return this._forceRed(a)};a.prototype.redAdd=function(a){b(this.red,"redAdd works only with red numbers");return this.red.add(this,a)};a.prototype.redIAdd=function(a){b(this.red,"redIAdd works only with red numbers");return this.red.iadd(this,a)};a.prototype.redSub=function(a){b(this.red,"redSub works only with red numbers");return this.red.sub(this,a)};a.prototype.redISub=function(a){b(this.red,"redISub works only with red numbers");
207return this.red.isub(this,a)};a.prototype.redShl=function(a){b(this.red,"redShl works only with red numbers");return this.red.shl(this,a)};a.prototype.redMul=function(a){b(this.red,"redMul works only with red numbers");this.red._verify2(this,a);return this.red.mul(this,a)};a.prototype.redIMul=function(a){b(this.red,"redMul works only with red numbers");this.red._verify2(this,a);return this.red.imul(this,a)};a.prototype.redSqr=function(){b(this.red,"redSqr works only with red numbers");this.red._verify1(this);
208return this.red.sqr(this)};a.prototype.redISqr=function(){b(this.red,"redISqr works only with red numbers");this.red._verify1(this);return this.red.isqr(this)};a.prototype.redSqrt=function(){b(this.red,"redSqrt works only with red numbers");this.red._verify1(this);return this.red.sqrt(this)};a.prototype.redInvm=function(){b(this.red,"redInvm works only with red numbers");this.red._verify1(this);return this.red.invm(this)};a.prototype.redNeg=function(){b(this.red,"redNeg works only with red numbers");
209this.red._verify1(this);return this.red.neg(this)};a.prototype.redPow=function(a){b(this.red&&!a.red,"redPow(normalNum)");this.red._verify1(this);return this.red.pow(this,a)};var z={k256:null,p224:null,p192:null,p25519:null};h.prototype._tmp=function(){var b=new a(null);b.words=Array(Math.ceil(this.n/13));return b};h.prototype.ireduce=function(a){var b;do this.split(a,this.tmp),a=this.imulK(a),a=a.iadd(this.tmp),b=a.bitLength();while(b>this.n);b=b<this.n?-1:a.ucmp(this.p);0===b?(a.words[0]=0,a.length=
2101):0<b?a.isub(this.p):void 0!==a.strip?a.strip():a._strip();return a};h.prototype.split=function(a,b){a.iushrn(this.n,0,b)};h.prototype.imulK=function(a){return a.imul(this.k)};g(l,h);l.prototype.split=function(a,b){for(var c=Math.min(a.length,9),f=0;f<c;f++)b.words[f]=a.words[f];b.length=c;if(9>=a.length)a.words[0]=0,a.length=1;else{c=a.words[9];b.words[b.length++]=c&4194303;for(f=10;f<a.length;f++){var d=a.words[f]|0;a.words[f-10]=(d&4194303)<<4|c>>>22;c=d}c>>>=22;a.words[f-10]=c;a.length=0===c&&
21110<a.length?a.length-10:a.length-9}};l.prototype.imulK=function(a){a.words[a.length]=0;a.words[a.length+1]=0;a.length+=2;for(var b=0,c=0;c<a.length;c++){var f=a.words[c]|0,b=b+977*f;a.words[c]=b&67108863;b=64*f+(b/67108864|0)}0===a.words[a.length-1]&&(a.length--,0===a.words[a.length-1]&&a.length--);return a};g(q,h);g(E,h);g(v,h);v.prototype.imulK=function(a){for(var b=0,c=0;c<a.length;

211c++){var b=19*(a.words[c]|0)+b,f=b&67108863,b=b>>>26;a.words[c]=f}0!==b&&(a.words[a.length++]=b);return a};a._prime=
212function(a){if(z[a])return z[a];var b;if("k256"===a)b=new l;else if("p224"===a)b=new q;else if("p192"===a)b=new E;else if("p25519"===a)b=new v;else throw Error("Unknown prime "+a);return z[a]=b};r.prototype._verify1=function(a){b(0===a.negative,"red works only with positives");b(a.red,"red works only with red numbers")};r.prototype._verify2=function(a,c){b(0===(a.negative|c.negative),"red works only with positives");b(a.red&&a.red===c.red,"red works only with red numbers")};r.prototype.imod=function(a){return this.prime?
213this.prime.ireduce(a)._forceRed(this):a.umod(this.m)._forceRed(this)};r.prototype.neg=function(a){return a.isZero()?a.clone():this.m.sub(a)._forceRed(this)};r.prototype.add=function(a,b){this._verify2(a,b);var c=a.add(b);0<=c.cmp(this.m)&&c.isub(this.m);return c._forceRed(this)};r.prototype.iadd=function(a,b){this._verify2(a,b);var c=a.iadd(b);0<=c.cmp(this.m)&&c.isub(this.m);return c};r.prototype.sub=function(a,b){this._verify2(a,b);var c=a.sub(b);0>c.cmpn(0)&&c.iadd(this.m);return c._forceRed(this)};
214r.prototype.isub=function(a,b){this._verify2(a,b);var c=a.isub(b);0>c.cmpn(0)&&c.iadd(this.m);return c};r.prototype.shl=function(a,b){this._verify1(a);return this.imod(a.ushln(b))};r.prototype.imul=function(a,b){this._verify2(a,b);return this.imod(a.imul(b))};r.prototype.mul=function(a,b){this._verify2(a,b);return this.imod(a.mul(b))};r.prototype.isqr=function(a){return this.imul(a,a.clone())};r.prototype.sqr=function(a){return this.mul(a,a)};r.prototype.sqrt=function(c){if(c.isZero())return c.clone();
215var f=this.m.andln(3);b(1===f%2);if(3===f)return f=this.m.add(new a(1)).iushrn(2),this.pow(c,f);for(var d=this.m.subn(1),e=0;!d.isZero()&&0===d.andln(1);)e++,d.iushrn(1);b(!d.isZero());for(var f=(new a(1)).toRed(this),g=f.redNeg(),h=this.m.subn(1).iushrn(1),p=this.m.bitLength(),p=(new a(2*p*p)).toRed(this);0!==this.pow(p,h).cmp(g);)p.redIAdd(g);h=this.pow(p,d);g=this.pow(c,d.addn(1).iushrn(1));c=this.pow(c,d);for(d=e;0!==c.cmp(f);){p=c;for(e=0;0!==p.cmp(f);e++)p=p.redSqr();b(e<d);h=this.pow(h,(new a(1)).iushln(d-
216e-1));g=g.redMul(h);h=h.redSqr();c=c.redMul(h);d=e}return g};r.prototype.invm=function(a){a=a._invmp(this.m);return 0!==a.negative?(a.negative=0,this.imod(a).redNeg()):this.imod(a)};r.prototype.pow=function(b,c){if(c.isZero())return(new a(1)).toRed(this);if(0===c.cmpn(1))return b.clone();var f=Array(16);f[0]=(new a(1)).toRed(this);f[1]=b;for(var d=2;d<f.length;d++)f[d]=this.mul(f[d-1],b);var e=f[0],g=0,h=0,p=c.bitLength()%26;0===p&&(p=26);for(d=c.length-1;0<=d;d--){for(var n=c.words[d],p=p-1;0<=p;p--){var k=
217n>>p&1;e!==f[0]&&(e=this.sqr(e));if(0===k&&0===g)h=0;else if(g<<=1,g|=k,h++,4===h||0===d&&0===p)e=this.mul(e,f[g]),g=h=0}p=26}return e};r.prototype.convertTo=function(a){var b=a.umod(this.m);return b===a?b.clone():b};r.prototype.convertFrom=function(a){a=a.clone();a.red=null;return a};a.mont=function(a){return new y(a)};g(y,r);y.prototype.convertTo=function(a){return this.imod(a.ushln(this.shift))};y.prototype.convertFrom=function(a){a=this.imod(a.mul(this.rinv));a.red=null;return a};y.prototype.imul=
218function(a,b){if(a.isZero()||b.isZero())return a.words[0]=0,a.length=1,a;var c=a.imul(b),f=c.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),f=c=c.isub(f).iushrn(this.shift);0<=c.cmp(this.m)?f=c.isub(this.m):0>c.cmpn(0)&&(f=c.iadd(this.m));return f._forceRed(this)};y.prototype.mul=function(b,c){if(b.isZero()||c.isZero())return(new a(0))._forceRed(this);var f=b.mul(c),d=f.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),d=f=f.isub(d).iushrn(this.shift);0<=f.cmp(this.m)?
219d=f.isub(this.m):0>f.cmpn(0)&&(d=f.iadd(this.m));return d._forceRed(this)};y.prototype.invm=function(a){return this.imod(a._invmp(this.m).mul(this.r2))._forceRed(this)}})("undefined"===typeof q||q,this)},{buffer:18}],17:[function(k,q,l){function d(b){this.rand=b}var e;q.exports=function(b){e||(e=new d(null));return e.generate(b)};q.exports.Rand=d;d.prototype.generate=function(b){return this._rand(b)};d.prototype._rand=function(b){if(this.rand.getBytes)return this.rand.getBytes(b);

219b=new Uint8Array(b);
220for(var a=0;a<b.length;a++)b[a]=this.rand.getByte();return b};if("object"===typeof self)self.crypto&&self.crypto.getRandomValues?d.prototype._rand=function(b){b=new Uint8Array(b);self.crypto.getRandomValues(b);return b}:self.msCrypto&&self.msCrypto.getRandomValues?d.prototype._rand=function(b){b=new Uint8Array(b);self.msCrypto.getRandomValues(b);return b}:"object"===typeof window&&(d.prototype._rand=function(){throw Error("Not implemented yet");});else try{var b=k("crypto");if("function"!==typeof b.randomBytes)throw Error("Not supported");
221d.prototype._rand=function(d){return b.randomBytes(d)}}catch(g){}},{crypto:18}],18:[function(k,q,l){},{}],19:[function(k,q,l){l.utils=k("./hash/utils");l.common=k("./hash/common");l.sha=k("./hash/sha");l.ripemd=k("./hash/ripemd");l.hmac=k("./hash/hmac");l.sha1=l.sha.sha1;l.sha256=l.sha.sha256;l.sha224=l.sha.sha224;l.sha384=l.sha.sha384;l.sha512=l.sha.sha512;l.ripemd160=l.ripemd.ripemd160},{"./hash/common":20,"./hash/hmac":21,"./hash/ripemd":22,"./hash/sha":23,"./hash/utils":30}],20:[function(k,q,
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230var e=k("../utils");
231l=k("../common");k=k("./common");var b=e.rotl32,g=e.sum32,a=e.sum32_5,f=k.ft_1,p=l.BlockHash,n=[1518500249,1859775393,2400959708,3395469782];e.inherits(d,p);q.exports=d;d.blockSize=512;d.outSize=160;d.hmacStrength=80;d.padLength=64;d.prototype._update=function(c,d){for(var e=this.W,p=0;16>p;p++)e[p]=c[d+p];for(;p<e.length;p++)e[p]=b(e[p-3]^e[p-8]^e[p-14]^e[p-16],1);for(var k=this.h[0],l=this.h[1],q=this.h[2],y=this.h[3],C=this.h[4],p=0;p<e.length;p++)var D=~~(p/20),D=a(b(k,5),f(D,l,q,y),C,e[p],n[D]),
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236f(E(e[k-2]),e[k-7],B(e[k-15]),e[k-16]);var l=this.h[0],q=this.h[1],z=this.h[2],m=this.h[3],r=this.h[4],v=this.h[5],ha=this.h[6],xa=this.h[7];g(this.k.length===e.length);for(k=0;k<e.length;k++)var ya=p(xa,u(r),n(r,v,ha),this.k[k],e[k]),ia=a(h(l),c(l,q,z)),xa=ha,ha=v,v=r,r=a(m,ya),m=z,z=q,q=l,l=a(ya,ia);this.h[0]=a(this.h[0],l);this.h[1]=a(this.h[1],q);this.h[2]=a(this.h[2],z);this.h[3]=a(this.h[3],m);this.h[4]=a(this.h[4],r);this.h[5]=a(this.h[5],v);this.h[6]=a(this.h[6],ha);this.h[7]=a(this.h[7],
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239k("../utils");l=k("../common");var b=k("minimalistic-assert"),g=e.rotr64_hi,a=e.rotr64_lo,f=e.shr64_hi,p=e.shr64_lo,n=e.sum64,c=e.sum64_hi,h=e.sum64_lo,u=e.sum64_4_hi,B=e.sum

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247k("../utils").rotr32;l.ft_1=function(b,e,a,f){if(0===b)return e&a^~e&f;if(1===b||3===b)return e^a^f;if(2===b)return d(e,a,f)};l.ch32=function(b,d,a){return b&d^~b&a};l.maj32=d;l.p32=function(b,d,a){return b^d^a};l.s0_256=function(b){return e(b,2)^e(b,13)^e(b,22)};l.s1_256=function(b){return e(b,6)^e(b,11)^e(b,25)};l.g0_256=function(b){return e(b,7)^e(b,18)^b>>>3};l.g1_256=function(b){return e(b,17)^e(b,19)^b>>>10}},{"../utils":30}],30:[function(k,q,l){function d(a){return(a>>>24|a>>>8&65280|a<<8&
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249g)d[e++]=g>>6|192;else{var k;k=a;var l=c;k=55296!==(k.charCodeAt(l)&64512)?!1:0>l||l+1>=k.length?!1:56320===(k.charCodeAt(l+1)&64512);k?(g=65536+((g&1023)<<10)+(a.charCodeAt(++c)&1023),d[e++]=g>>18|240,d[e++]=g>>12&63|128):d[e++]=g>>12|224;d[e++]=g>>6&63|128}d[e++]=g&63|128}}else{if("hex"===b)for(a=a.replace(/[^a-z0-9]+/ig,""),0!==a.length%2&&(a="0"+a),c=0;c<a.length;c+=2)d.push(parseInt(a[c]+a[c+1],16))}else for(c=0;c<a.length;c++)d[c]=a[c]|0;return d};l.toHex=function(a){for(var b="",d=0;d<a.length;d++)b+=
250e(a[d].toString(16));return b};l.htonl=d;l.toHex32=function(a,f){for(var e="",g=0;g<a.length;g++){var c=a[g];"little"===f&&(c=d(c));e+=b(c.toString(16))}return e};l.zero2=e;l.zero8=b;l.join32=function(a,b,d,e){d-=b;g(0===d%4);d=Array(d/4);for(var c=0;c<d.length;c++,b+=4)d[c]=("big"===e?a[b]<<24|a[b+1]<<16|a[b+2]<<8|a[b+3]:a[b+3]<<24|a[b+2]<<16|a[b+1]<<8|a[b])>>>0;return d};l.split32=function(a,b){for(var d=Array(4*a.length),e=0,c=0;e<a.length;e++,c+=4){var g=a[e];"big"===b?(d[c]=g>>>24,d[c+1]=g>>>
25116&255,d[c+2]=g>>>8&255,d[c+3]=g&255):(d[c+3]=g>>>24,d[c+2]=g>>>16&255,d[c+1]=g>>>8&255,d[c]=g&255)}return d};l.rotr32=function(a,b){return a>>>b|a<<32-b};l.rotl32=function(a,b){return a<<b|a>>>32-b};l.sum32=function(a,b){return a+b>>>0};l.sum32_3=function(a,b,d){return a+b+d>>>0};l.sum32_4=function(a,b,d,e){return a+b+d+e>>>0};l.sum32_5=function(a,b,d,e,c){return a+b+d+e+c>>>0};l.sum64=function(a,b,d,e){var c=e+a[b+1]>>>0;a[b]=(c<e?1:0)+d+a[b]>>>0;a[b+1]=c};

251l.sum64_hi=function(a,b,d,e){return(b+
252e>>>0<b?1:0)+a+d>>>0};l.sum64_lo=function(a,b,d,e){return b+e>>>0};l.sum64_4_hi=function(a,b,d,e,c,g,k,l){e=b+e>>>0;b=0+(e<b?1:0);e=e+g>>>0;b+=e<g?1:0;e=e+l>>>0;b+=e<l?1:0;return a+d+c+k+b>>>0};l.sum64_4_lo=function(a,b,d,e,c,g,k,l){return b+e+g+l>>>0};l.sum64_5_hi=function(a,b,d,e,c,g,k,l,q,v){e=b+e>>>0;b=0+(e<b?1:0);e=e+g>>>0;b+=e<g?1:0;e=e+l>>>0;b+=e<l?1:0;e=e+v>>>0;b+=e<v?1:0;return a+d+c+k+q+b>>>0};l.sum64_5_lo=function(a,b,d,e,c,g,k,l,q,v){return b+e+g+l+v>>>0};l.rotr64_hi=function(a,b,d){return(b<<
25332-d|a>>>d)>>>0};l.rotr64_lo=function(a,b,d){return(a<<32-d|b>>>d)>>>0};l.shr64_hi=function(a,b,d){return a>>>d};l.shr64_lo=function(a,b,d){return(a<<32-d|b>>>d)>>>0}},{inherits:32,"minimalistic-assert":33}],31:[function(k,q,l){function d(a){if(!(this instanceof d))return new d(a);this.hash=a.hash;this.predResist=!!a.predResist;this.outLen=this.hash.outSize;this.minEntropy=a.minEntropy||this.hash.hmacStrength;this.V=this.K=this.reseedInterval=this._reseed=null;var e=b.toArray(a.entropy,a.entropyEnc||
254"hex"),k=b.toArray(a.nonce,a.nonceEnc||"hex");a=b.toArray(a.pers,a.persEnc||"hex");g(e.length>=this.minEntropy/8,"Not enough entropy. Minimum is: "+this.minEntropy+" bits");this._init(e,k,a)}var e=k("hash.js"),b=k("minimalistic-crypto-utils"),g=k("minimalistic-assert");q.exports=d;d.prototype._init=function(a,b,d){a=a.concat(b).concat(d);this.K=Array(this.outLen/8);this.V=Array(this.outLen/8);for(b=0;b<this.V.length;b++)this.K[b]=0,this.V[b]=1;this._update(a);this._reseed=1;this.reseedInterval=281474976710656};
255d.prototype._hmac=function(){return new e.hmac(this.hash,this.K)};d.prototype._update=function(a){var b=this._hmac().update(this.V).update([0]);a&&(b=b.update(a));this.K=b.digest();this.V=this._hmac().update(this.V).digest();a&&(this.K=this._hmac().update(this.V).update([1]).update(a).digest(),this.V=this._hmac().update(this.V).digest())};d.prototype.reseed=function(a,d,e,k){"string"!==typeof d&&(k=e,e=d,d=null);a=b.toArray(a,d);e=b.toArray(e,k);g(a.length>=this.minEntropy/8,"Not enough entropy. Minimum is: "+
256this.minEntropy+" bits");this._update(a.concat(e||[]));this._reseed=1};d.prototype.generate=function(a,d,e,g){if(this._reseed>this.reseedInterval)throw Error("Reseed is required");"string"!==typeof d&&(g=e,e=d,d=null);e&&(e=b.toArray(e,g||"hex"),this._update(e));for(g=[];g.length<a;)this.V=this._hmac().update(this.V).digest(),g=g.concat(this.V);a=g.slice(0,a);this._update(e);this._reseed++;return b.encode(a,d)}},{"hash.js":19,"minimalistic-assert":33,"minimalistic-crypto-utils":34}],32:[function(k,
257q,l){q.exports="function"===typeof Object.create?function(d,e){e&&(d.super_=e,d.prototype=Object.create(e.prototype,{constructor:{value:d,enumerable:!1,writable:!0,configurable:!0}}))}:function(d,e){if(e){d.super_=e;var b=function(){};b.prototype=e.prototype;d.prototype=new b;d.prototype.constructor=d}}},{}],33:[function(k,q,l){function d(d,b){if(!d)throw Error(b||"Assertion failed");}q.exports=d;d.equal=function(d,b,g){if(d!=b)throw Error(g||"Assertion failed: "+d+" != "+b);}},{}],34:[function(k,
258q,l){function d(b){return 1===b.length?"0"+b:b}function e(b){for(var e="",a=0;a<b.length;a++)e+=d(b[a].toString(16));return e}l.toArray=function(b,d){if(Array.isArray(b))return b.slice();if(!b)return[];var a=[];if("string"!==typeof b){for(var e=0;e<b.length;e++)a[e]=b[e]|0;return a}if("hex"===d)for(b=b.replace(/[^a-z0-9]+/ig,""),0!==b.length%2&&(b="0"+b),e=0;e<b.length;e+=2)a.push(parseInt(b[e]+b[e+1],16));else for(e=0;e<b.length;e++){var k=b.charCodeAt(e),l=k>>8,k=k&255;l?a.push(l,k):a.push(k)}return a};
259l.zero2=d;l.toHex=e;l.encode=function(b,d){return"hex"===d?e(b):b}},{}],35:[function(k,q,l){q.exports={name:"elliptic",version:"6.6.1",description:"EC cryptography",main:"lib/elliptic.js",files:["lib"],scripts:{lint:"eslint lib test","lint:fix":"npm run lint -- --fix",unit:"istanbul test _mocha --reporter=spec test/index.js",test:"npm run lint && npm run unit",version:"grunt dist && git add dist/"},repository:{type:"git",url:"[email protected]:indutny/elliptic"},keywords:["EC","Elliptic","curve","Cryptography"],
260author:"Fedor Indutny <[email protected]>",license:"MIT",bugs:{url:"https://github.com/indutny/elliptic/issues"},homepage:"https://github.com/indutny/elliptic",devDependencies:{brfs:"^2.0.2",coveralls:"^3.1.0",eslint:"^7.6.0",grunt:"^1.2.1","grunt-browserify":"^5.3.0","grunt-cli":"^1.3.2","grunt-contrib-connect":"^3.0.0","grunt-contrib-copy":"^1.0.0","grunt-contrib-uglify":"^5.0.0","grunt-mocha-istanbul":"^5.0.2","grunt-saucelabs":"^9.0.1",istanbul:"^0.4.5",mocha:"^8.0.1"},dependencies:{"bn.js":"^4.11.9",
261brorand:"^1.1.0","hash.js":"^1.0.0","hmac-drbg":"^1.0.1",inherits:"^2.0.4","minimalistic-assert":"^1.0.1","minimalistic-crypto-utils":"^1.0.1"}}},{}]},{},[1])(1)});

Line numbers count LF bytes from the start of the resource, as the search results do. Vendor segments are library code the classifier recognised; they are stored but not indexed. Bytes are shown as Latin1 characters, one per byte.