!function(a){if("object"==typeof exports&&"undefined"!=typeof module)module.exports=a();else if("function"==typeof define&&define.amd)define([],a);else{var b;b="undefined"!=typeof window?window:"undefined"!=typeof global?global:"undefined"!=typeof self?self:this,b.elliptic=a()}}(function(){return function a(b,c,d){function e(g,h){if(!c[g]){if(!b[g]){var i="function"==typeof require&&require;if(!h&&i)return i(g,!0);if(f)return f(g,!0);var j=new Error("Cannot find module '"+g+"'");throw j.code="MODULE_NOT_FOUND",j}var k=c[g]={exports:{}};b[g][0].call(k.exports,function(a){var c=b[g][1][a];return e(c?c:a)},k,k.exports,a,b,c,d)}return c[g].exports}for(var f="function"==typeof require&&require,g=0;g<d.length;g++)e(d[g]);return e}({1:[function(a,b,c){"use strict";var d=c;d.version=a("../package.json").version,d.utils=a("./elliptic/utils"),d.rand=a("brorand"),d.curve=a("./elliptic/curve"),d.curves=a("./elliptic/curves"),d.ec=a("./elliptic/ec"),d.eddsa=a("./elliptic/eddsa")},{"../package.json":30,"./elliptic/curve":4,"./elliptic/curves":7,"./elliptic/ec":8,"./elliptic/eddsa":11,"./elliptic/utils":15,brorand:17}],2:[function(a,b,c){"use strict";function d(a,b){this.type=a,this.p=new f(b.p,16),this.red=b.prime?f.red(b.prime):f.mont(this.p),this.zero=new f(0).toRed(this.red),this.one=new f(1).toRed(this.red),this.two=new f(2).toRed(this.red),this.n=b.n&&new f(b.n,16),this.g=b.g&&this.pointFromJSON(b.g,b.gRed),this._wnafT1=new Array(4),this._wnafT2=new Array(4),this._wnafT3=new Array(4),this._wnafT4=new Array(4);var c=this.n&&this.p.div(this.n);!c||c.cmpn(100)>0?this.redN=null:(this._maxwellTrick=!0,this.redN=this.n.toRed(this.red))}function e(a,b){this.curve=a,this.type=b,this.precomputed=null}var f=a("bn.js"),g=a("../../elliptic"),h=g.utils,i=h.getNAF,j=h.getJSF,k=h.assert;b.exports=d,d.prototype.point=function(){throw new Error("Not implemented")},d.prototype.validate=function(){throw new Error("Not implemented")},d.prototype._fixedNafMul=function(a,b){k(a.precomputed);var c=a._getDoubles(),d=i(b,1),e=(1<<c.step+1)-(c.step%2===0?2:1);e/=3;for(var f=[],g=0;g<d.length;g+=c.step){for(var h=0,b=g+c.step-1;b>=g;b--)h=(h<<1)+d[b];f.push(h)}for(var j=this.jpoint(null,null,null),l=this.jpoint(null,null,null),m=e;m>0;m--){for(var g=0;g<f.length;g++){var h=f[g];h===m?l=l.mixedAdd(c.points[g]):h===-m&&(l=l.mixedAdd(c.points[g].neg()))}j=j.add(l)}return j.toP()},d.prototype._wnafMul=function(a,b){var c=4,d=a._getNAFPoints(c);c=d.wnd;for(var e=d.points,f=i(b,c),g=this.jpoint(null,null,null),h=f.length-1;h>=0;h--){for(var b=0;h>=0&&0===f[h];h--)b++;if(h>=0&&b++,g=g.dblp(b),h<0)break;var j=f[h];k(0!==j),g="affine"===a.type?j>0?g.mixedAdd(e[j-1>>1]):g.mixedAdd(e[-j-1>>1].neg()):j>0?g.add(e[j-1>>1]):g.add(e[-j-1>>1].neg())}return"affine"===a.type?g.toP():g},d.prototype._wnafMulAdd=function(a,b,c,d,e){for(var f=this._wnafT1,g=this._wnafT2,h=this._wnafT3,k=0,l=0;l<d;l++){var m=b[l],n=m._getNAFPoints(a);f[l]=n.wnd,g[l]=n.points}for(var l=d-1;l>=1;l-=2){var o=l-1,p=l;if(1===f[o]&&1===f[p]){var q=[b[o],null,null,b[p]];0===b[o].y.cmp(b[p].y)?(q[1]=b[o].add(b[p]),q[2]=b[o].toJ().mixedAdd(b[p].neg())):0===b[o].y.cmp(b[p].y.redNeg())?(q[1]=b[o].toJ().mixedAdd(b[p]),q[2]=b[o].add(b[p].neg())):(q[1]=b[o].toJ().mixedAdd(b[p]),q[2]=b[o].toJ().mixedAdd(b[p].neg()));var r=[-3,-1,-5,-7,0,7,5,1,3],s=j(c[o],c[p]);k=Math.max(s[0].length,k),h[o]=new Array(k),h[p]=new Array(k);for(var t=0;t<k;t++){var u=0|s[0][t],v=0|s[1][t];h[o][t]=r[3*(u+1)+(v+1)],h[p][t]=0,g[o]=q}}else h[o]=i(c[o],f[o]),h[p]=i(c[p],f[p]),k=Math.max(h[o].length,k),k=Math.max(h[p].length,k)}for(var w=this.jpoint(null,null,null),x=this._wnafT4,l=k;l>=0;l--){for(var y=0;l>=0;){for(var z=!0,t=0;t<d;t++)x[t]=0|h[t][l],0!==x[t]&&(z=!1);if(!z)break;y++,l--}if(l>=0&&y++,w=w.dblp(y),l<0)break;for(var t=0;t<d;t++){var m,A=x[t];0!==A&&(A>0?m=g[t][A-1>>1]:A<0&&(m=g[t][-A-1>>1].neg()),w="affine"===m.type?w.mixedAdd(m):w.add(m))}}for(var l=0;l<d;l++)g[l]=null;return e?w:w.toP()},d.BasePoint=e,e.prototype.eq=function(){throw new Error("Not implemented")},e.prototype.validate=function(){return this.curve.validate(this)},d.prototype.decodePoint=function(a,b){a=h.toArray(a,b);var c=this.p.byteLength();if((4===a[0]||6===a[0]||7===a[0])&&a.length-1===2*c){6===a[0]?k(a[a.length-1]%2===0):7===a[0]&&k(a[a.length-1]%2===1);var d=this.point(a.slice(1,1+c),a.slice(1+c,1+2*c));return d}if((2===a[0]||3===a[0])&&a.length-1===c)return this.pointFromX(a.slice(1,1+c),3===a[0]);throw new Error("Unknown point format")},e.prototype.encodeCompressed=function(a){return this.encode(a,!0)},e.prototype._encode=function(a){var b=this.curve.p.byteLength(),c=this.getX().toArray("be",b);return a?[this.getY().isEven()?2:3].concat(c):[4].concat(c,this.getY().toArray("be",b))},e.prototype.encode=function(a,b){return h.encode(this._encode(b),a)},e.prototype.precompute=function(a){if(this.precomputed)return this;var b={doubles:null,naf:null,beta:null};return b.naf=this._getNAFPoints(8),b.doubles=this._getDoubles(4,a),b.beta=this._getBeta(),this.precomputed=b,this},e.prototype._hasDoubles=function(a){if(!this.precomputed)return!1;var b=this.precomputed.doubles;return!!b&&b.points.length>=Math.ceil((a.bitLength()+1)/b.step)},e.prototype._getDoubles=function(a,b){if(this.precomputed&&this.precomputed.doubles)return this.precomputed.doubles;for(var c=[this],d=this,e=0;e<b;e+=a){for(var f=0;f<a;f++)d=d.dbl();c.push(d)}return{step:a,points:c}},e.prototype._getNAFPoints=function(a){if(this.precomputed&&this.precomputed.naf)return this.precomputed.naf;for(var b=[this],c=(1<<a)-1,d=1===c?null:this.dbl(),e=1;e<c;e++)b[e]=b[e-1].add(d);return{wnd:a,points:b}},e.prototype._getBeta=function(){return null},e.prototype.dblp=function(a){for(var b=this,c=0;c<a;c++)b=b.dbl();return b}},{"../../elliptic":1,"bn.js":16}],3:[function(a,b,c){"use strict";function d(a){this.twisted=1!==(0|a.a),this.mOneA=this.twisted&&(0|a.a)===-1,this.extended=this.mOneA,j.call(this,"edwards",a),this.a=new h(a.a,16).umod(this.red.m),this.a=this.a.toRed(this.red),this.c=new h(a.c,16).toRed(this.red),this.c2=this.c.redSqr(),this.d=new h(a.d,16).toRed(this.red),this.dd=this.d.redAdd(this.d),k(!this.twisted||0===this.c.fromRed().cmpn(1)),this.oneC=1===(0|a.c)}function e(a,b,c,d,e){j.BasePoint.call(this,a,"projective"),null===b&&null===c&&null===d?(this.x=this.curve.zero,this.y=this.curve.one,this.z=this.curve.one,this.t=this.curve.zero,this.zOne=!0):(this.x=new h(b,16),this.y=new h(c,16),this.z=d?new h(d,16):this.curve.one,this.t=e&&new h(e,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)),this.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()))))}var f=a("../curve"),g=a("../../elliptic"),h=a("bn.js"),i=a("inherits"),j=f.base,k=g.utils.assert;i(d,j),b.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,b,c,d){return this.point(a,b,c,d)},d.prototype.pointFromX=function(a,b){a=new h(a,16),a.red||(a=a.toRed(this.red));var c=a.redSqr(),d=this.c2.redSub(this.a.redMul(c)),e=this.one.redSub(this.c2.redMul(this.d).redMul(c)),f=d.redMul(e.redInvm()),g=f.redSqrt();if(0!==g.redSqr().redSub(f).cmp(this.zero))throw new Error("invalid point");var i=g.fromRed().isOdd();return(b&&!i||!b&&i)&&(g=g.redNeg()),this.point(a,g)},d.prototype.pointFromY=function(a,b){a=new h(a,16),a.red||(a=a.toRed(this.red));var c=a.redSqr(),d=c.redSub(this.one),e=c.redMul(this.d).redAdd(this.one),f=d.redMul(e.redInvm());if(0===f.cmp(this.zero)){if(b)throw new Error("invalid point");return this.point(this.zero,a)}var g=f.redSqrt();if(0!==g.redSqr().redSub(f).cmp(this.zero))throw new Error("invalid point");return g.isOdd()!==b&&(g=g.redNeg()),this.point(g,a)},d.prototype.validate=function(a){if(a.isInfinity())return!0;a.normalize();var b=a.x.redSqr(),c=a.y.redSqr(),d=b.redMul(this.a).redAdd(c),e=this.c2.redMul(this.one.redAdd(this.d.redMul(b).redMul(c)));return 0===d.cmp(e)},i(e,j.BasePoint),d.prototype.pointFromJSON=function(a){return e.fromJSON(this,a)},d.prototype.point=function(a,b,c,d){return new e(this,a,b,c,d)},e.fromJSON=function(a,b){return new e(a,b[0],b[1],b[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)},e.prototype._extDbl=function(){var a=this.x.redSqr(),b=this.y.redSqr(),c=this.z.redSqr();c=c.redIAdd(c);var d=this.curve._mulA(a),e=this.x.redAdd(this.y).redSqr().redISub(a).redISub(b),f=d.redAdd(b),g=f.redSub(c),h=d.redSub(b),i=e.redMul(g),j=f.redMul(h),k=e.redMul(h),l=g.redMul(f);return this.curve.point(i,j,l,k)},e.prototype._projDbl=function(){var a,b,c,d=this.x.redAdd(this.y).redSqr(),e=this.x.redSqr(),f=this.y.redSqr();if(this.curve.twisted){var g=this.curve._mulA(e),h=g.redAdd(f);if(this.zOne)a=d.redSub(e).redSub(f).redMul(h.redSub(this.curve.two)),b=h.redMul(g.redSub(f)),c=h.redSqr().redSub(h).redSub(h);else{var i=this.z.redSqr(),j=h.redSub(i).redISub(i);a=d.redSub(e).redISub(f).redMul(j),b=h.redMul(g.redSub(f)),c=h.redMul(j)}}else{var g=e.redAdd(f),i=this.curve._mulC(this.c.redMul(this.z)).redSqr(),j=g.redSub(i).redSub(i);a=this.curve._mulC(d.redISub(g)).redMul(j),b=this.curve._mulC(g).redMul(e.redISub(f)),c=g.redMul(j)}return this.curve.point(a,b,c)},e.prototype.dbl=function(){return this.isInfinity()?this:this.curve.extended?this._extDbl():this._projDbl()},e.prototype._extAdd=function(a){var b=this.y.redSub(this.x).redMul(a.y.redSub(a.x)),c=this.y.redAdd(this.x).redMul(a.y.redAdd(a.x)),d=this.t.redMul(this.curve.dd).redMul(a.t),e=this.z.redMul(a.z.redAdd(a.z)),f=c.redSub(b),g=e.redSub(d),h=e.redAdd(d),i=c.redAdd(b),j=f.redMul(g),k=h.redMul(i),l=f.redMul(i),m=g.redMul(h);return this.curve.point(j,k,m,l)},e.prototype._projAdd=function(a){var b,c,d=this.z.redMul(a.z),e=d.redSqr(),f=this.x.redMul(a.x),g=this.y.redMul(a.y),h=this.curve.d.redMul(f).redMul(g),i=e.redSub(h),j=e.redAdd(h),k=this.x.redAdd(this.y).redMul(a.x.redAdd(a.y)).redISub(f).redISub(g),l=d.redMul(i).redMul(k);return this.curve.twisted?(b=d.redMul(j).redMul(g.redSub(this.curve._mulA(f))),c=i.redMul(j)):(b=d.redMul(j).redMul(g.redSub(f)),c=this.curve._mulC(i).redMul(j)),this.curve.point(l,b,c)},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,a)},e.prototype.mulAdd=function(a,b,c){return this.curve._wnafMulAdd(1,[this,b],[a,c],2,!1)},e.prototype.jmulAdd=function(a,b,c){return this.curve._wnafMulAdd(1,[this,b],[a,c],2,!0)},e.prototype.normalize=function(){if(this.zOne)return this;var a=this.z.redInvm();return 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,this},e.prototype.neg=function(){return this.curve.point(this.x.redNeg(),this.y,this.z,this.t&&this.t.redNeg())},e.prototype.getX=function(){return this.normalize(),this.x.fromRed()},e.prototype.getY=function(){return this.normalize(),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 b=a.toRed(this.curve.red).redMul(this.z);if(0===this.x.cmp(b))return!0;for(var c=a.clone(),d=this.curve.redN.redMul(this.z);;){if(c.iadd(this.curve.n),c.cmp(this.curve.p)>=0)return!1;if(b.redIAdd(d),0===this.x.cmp(b))return!0}return!1},e.prototype.toP=e.prototype.normalize,e.prototype.mixedAdd=e.prototype.add},{"../../elliptic":1,"../curve":4,"bn.js":16,inherits:27}],4:[function(a,b,c){"use strict";var d=c;d.base=a("./base"),d["short"]=a("./short"),d.mont=a("./mont"),d.edwards=a("./edwards")},{"./base":2,"./edwards":3,"./mont":5,"./short":6}],5:[function(a,b,c){"use strict";function d(a){i.call(this,"mont",a),this.a=new g(a.a,16).toRed(this.red),this.b=new g(a.b,16).toRed(this.red),this.i4=new g(4).toRed(this.red).redInvm(),this.two=new g(2).toRed(this.red),this.a24=this.i4.redMul(this.a.redAdd(this.two))}function e(a,b,c){i.BasePoint.call(this,a,"projective"),null===b&&null===c?(this.x=this.curve.one,this.z=this.curve.zero):(this.x=new g(b,16),this.z=new g(c,16),this.x.red||(this.x=this.x.toRed(this.curve.red)),this.z.red||(this.z=this.z.toRed(this.curve.red)))}var f=a("../curve"),g=a("bn.js"),h=a("inherits"),i=f.base,j=a("../../elliptic"),k=j.utils;h(d,i),b.exports=d,d.prototype.validate=function(a){var b=a.normalize().x,c=b.redSqr(),d=c.redMul(b).redAdd(c.redMul(this.a)).redAdd(b),e=d.redSqrt();return 0===e.redSqr().cmp(d)},h(e,i.BasePoint),d.prototype.decodePoint=function(a,b){return this.point(k.toArray(a,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>":"<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),b=a.redSqr(),c=this.x.redSub(this.z),d=c.redSqr(),e=b.redSub(d),f=b.redMul(d),g=e.redMul(d.redAdd(this.curve.a24.redMul(e)));return this.curve.point(f,g)},e.prototype.add=function(){throw new Error("Not supported on Montgomery curve")},e.prototype.diffAdd=function(a,b){var c=this.x.redAdd(this.z),d=this.x.redSub(this.z),e=a.x.redAdd(a.z),f=a.x.redSub(a.z),g=f.redMul(c),h=e.redMul(d),i=b.z.redMul(g.redAdd(h).redSqr()),j=b.x.redMul(g.redISub(h).redSqr());return this.curve.point(i,j)},e.prototype.mul=function(a){for(var b=a.clone(),c=this,d=this.curve.point(null,null),e=this,f=[];0!==b.cmpn(0);b.iushrn(1))f.push(b.andln(1));for(var g=f.length-1;g>=0;g--)0===f[g]?(c=c.diffAdd(d,e),d=d.dbl()):(d=c.diffAdd(d,e),c=c.dbl());return d},e.prototype.mulAdd=function(){throw new Error("Not supported on Montgomery curve")},e.prototype.jumlAdd=function(){throw new Error("Not supported on Montgomery curve")},e.prototype.eq=function(a){return 0===this.getX().cmp(a.getX())},e.prototype.normalize=function(){return this.x=this.x.redMul(this.z.redInvm()),this.z=this.curve.one,this},e.prototype.getX=function(){return this.normalize(),this.x.fromRed()}},{"../../elliptic":1,"../curve":4,"bn.js":16,inherits:27}],6:[function(a,b,c){"use strict";function d(a){k.call(this,"short",a),this.a=new i(a.a,16).toRed(this.red),this.b=new i(a.b,16).toRed(this.red),this.tinv=this.two.redInvm(),this.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=new Array(4),this._endoWnafT2=new Array(4)}function e(a,b,c,d){k.BasePoint.call(this,a,"affine"),null===b&&null===c?(this.x=null,this.y=null,this.inf=!0):(this.x=new i(b,16),this.y=new i(c,16),d&&(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=!1)}function f(a,b,c,d){k.BasePoint.call(this,a,"jacobian"),null===b&&null===c&&null===d?(this.x=this.curve.one,this.y=this.curve.one,this.z=new i(0)):(this.x=new i(b,16),this.y=new i(c,16),this.z=new i(d,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}var g=a("../curve"),h=a("../../elliptic"),i=a("bn.js"),j=a("inherits"),k=g.base,l=h.utils.assert;j(d,k),b.exports=d,d.prototype._getEndomorphism=function(a){if(this.zeroA&&this.g&&this.n&&1===this.p.modn(3)){var b,c;if(a.beta)b=new i(a.beta,16).toRed(this.red);else{var d=this._getEndoRoots(this.p);b=d[0].cmp(d[1])<0?d[0]:d[1],b=b.toRed(this.red)}if(a.lambda)c=new i(a.lambda,16);else{var e=this._getEndoRoots(this.n);0===this.g.mul(e[0]).x.cmp(this.g.x.redMul(b))?c=e[0]:(c=e[1],l(0===this.g.mul(c).x.cmp(this.g.x.redMul(b))))}var f;return f=a.basis?a.basis.map(function(a){return{a:new i(a.a,16),b:new i(a.b,16)}}):this._getEndoBasis(c),{beta:b,lambda:c,basis:f}}},d.prototype._getEndoRoots=function(a){var b=a===this.p?this.red:i.mont(a),c=new i(2).toRed(b).redInvm(),d=c.redNeg(),e=new i(3).toRed(b).redNeg().redSqrt().redMul(c),f=d.redAdd(e).fromRed(),g=d.redSub(e).fromRed();return[f,g]},d.prototype._getEndoBasis=function(a){for(var b,c,d,e,f,g,h,j,k,l=this.n.ushrn(Math.floor(this.n.bitLength()/2)),m=a,n=this.n.clone(),o=new i(1),p=new i(0),q=new i(0),r=new i(1),s=0;0!==m.cmpn(0);){var t=n.div(m);j=n.sub(t.mul(m)),k=q.sub(t.mul(o));var u=r.sub(t.mul(p));if(!d&&j.cmp(l)<0)b=h.neg(),c=o,d=j.neg(),e=k;else if(d&&2===++s)break;h=j,n=m,m=j,q=o,o=k,r=p,p=u}f=j.neg(),g=k;var v=d.sqr().add(e.sqr()),w=f.sqr().add(g.sqr());return w.cmp(v)>=0&&(f=b,g=c),d.negative&&(d=d.neg(),e=e.neg()),f.negative&&(f=f.neg(),g=g.neg()),[{a:d,b:e},{a:f,b:g}]},d.prototype._endoSplit=function(a){var b=this.endo.basis,c=b[0],d=b[1],e=d.b.mul(a).divRound(this.n),f=c.b.neg().mul(a).divRound(this.n),g=e.mul(c.a),h=f.mul(d.a),i=e.mul(c.b),j=f.mul(d.b),k=a.sub(g).sub(h),l=i.add(j).neg();return{k1:k,k2:l}},d.prototype.pointFromX=function(a,b){a=new i(a,16),a.red||(a=a.toRed(this.red));var c=a.redSqr().redMul(a).redIAdd(a.redMul(this.a)).redIAdd(this.b),d=c.redSqrt();if(0!==d.redSqr().redSub(c).cmp(this.zero))throw new Error("invalid point");var e=d.fromRed().isOdd();return(b&&!e||!b&&e)&&(d=d.redNeg()),this.point(a,d)},d.prototype.validate=function(a){if(a.inf)return!0;var b=a.x,c=a.y,d=this.a.redMul(b),e=b.redSqr().redMul(b).redIAdd(d).redIAdd(this.b);return 0===c.redSqr().redISub(e).cmpn(0)},d.prototype._endoWnafMulAdd=function(a,b,c){for(var d=this._endoWnafT1,e=this._endoWnafT2,f=0;f<a.length;f++){var g=this._endoSplit(b[f]),h=a[f],i=h._getBeta();g.k1.negative&&(g.k1.ineg(),h=h.neg(!0)),g.k2.negative&&(g.k2.ineg(),i=i.neg(!0)),d[2*f]=h,d[2*f+1]=i,e[2*f]=g.k1,e[2*f+1]=g.k2}for(var j=this._wnafMulAdd(1,d,e,2*f,c),k=0;k<2*f;k++)d[k]=null,e[k]=null;return j},j(e,k.BasePoint),d.prototype.point=function(a,b,c){return new e(this,a,b,c)},d.prototype.pointFromJSON=function(a,b){return e.fromJSON(this,a,b)},e.prototype._getBeta=function(){if(this.curve.endo){var a=this.precomputed;if(a&&a.beta)return a.beta;var b=this.curve.point(this.x.redMul(this.curve.endo.beta),this.y);if(a){var c=this.curve,d=function(a){return c.point(a.x.redMul(c.endo.beta),a.y)};a.beta=b,b.precomputed={beta:null,naf:a.naf&&{wnd:a.naf.wnd,points:a.naf.points.map(d)},doubles:a.doubles&&{step:a.doubles.step,points:a.doubles.points.map(d)}}}return b}},e.prototype.toJSON=function(){return this.precomputed?[this.x,this.y,this.precomputed&&{doubles:this.precomputed.doubles&&{step:this.precomputed.doubles.step,points: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,b,c){function d(b){return a.point(b[0],b[1],c)}"string"==typeof b&&(b=JSON.parse(b));var e=a.point(b[0],b[1],c);if(!b[2])return e;var f=b[2];return e.precomputed={beta:null,doubles:f.doubles&&{step:f.doubles.step,points:[e].concat(f.doubles.points.map(d))},naf:f.naf&&{wnd:f.naf.wnd,points:[e].concat(f.naf.points.map(d))}},e},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;if(a.inf)return this;if(this.eq(a))return this.dbl();if(this.neg().eq(a))return this.curve.point(null,null);if(0===this.x.cmp(a.x))return this.curve.point(null,null);var b=this.y.redSub(a.y);0!==b.cmpn(0)&&(b=b.redMul(this.x.redSub(a.x).redInvm()));var c=b.redSqr().redISub(this.x).redISub(a.x),d=b.redMul(this.x.redSub(c)).redISub(this.y);return this.curve.point(c,d)},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 b=this.curve.a,c=this.x.redSqr(),d=a.redInvm(),e=c.redAdd(c).redIAdd(c).redIAdd(b).redMul(d),f=e.redSqr().redISub(this.x.redAdd(this.x)),g=e.redMul(this.x.redSub(f)).redISub(this.y);return this.curve.point(f,g)},e.prototype.getX=function(){return this.x.fromRed()},e.prototype.getY=function(){return this.y.fromRed()},e.prototype.mul=function(a){return a=new i(a,16),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,b,c){var d=[this,b],e=[a,c];return this.curve.endo?this.curve._endoWnafMulAdd(d,e):this.curve._wnafMulAdd(1,d,e,2)},e.prototype.jmulAdd=function(a,b,c){var d=[this,b],e=[a,c];return this.curve.endo?this.curve._endoWnafMulAdd(d,e,!0):this.curve._wnafMulAdd(1,d,e,2,!0)},e.prototype.eq=function(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 b=this.curve.point(this.x,this.y.redNeg());if(a&&this.precomputed){var c=this.precomputed,d=function(a){return a.neg()};b.precomputed={naf:c.naf&&{wnd:c.naf.wnd,points:c.naf.points.map(d)},doubles:c.doubles&&{step:c.doubles.step,points:c.doubles.points.map(d)}}}return b},e.prototype.toJ=function(){if(this.inf)return this.curve.jpoint(null,null,null);var a=this.curve.jpoint(this.x,this.y,this.curve.one);return a},j(f,k.BasePoint),d.prototype.jpoint=function(a,b,c){return new f(this,a,b,c)},f.prototype.toP=function(){if(this.isInfinity())return this.curve.point(null,null);var a=this.z.redInvm(),b=a.redSqr(),c=this.x.redMul(b),d=this.y.redMul(b).redMul(a);return this.curve.point(c,d)},f.prototype.neg=function(){return this.curve.jpoint(this.x,this.y.redNeg(),this.z)},f.prototype.add=function(a){if(this.isInfinity())return a;if(a.isInfinity())return this;var b=a.z.redSqr(),c=this.z.redSqr(),d=this.x.redMul(b),e=a.x.redMul(c),f=this.y.redMul(b.redMul(a.z)),g=a.y.redMul(c.redMul(this.z)),h=d.redSub(e),i=f.redSub(g);if(0===h.cmpn(0))return 0!==i.cmpn(0)?this.curve.jpoint(null,null,null):this.dbl();var j=h.redSqr(),k=j.redMul(h),l=d.redMul(j),m=i.redSqr().redIAdd(k).redISub(l).redISub(l),n=i.redMul(l.redISub(m)).redISub(f.redMul(k)),o=this.z.redMul(a.z).redMul(h);return this.curve.jpoint(m,n,o)},f.prototype.mixedAdd=function(a){if(this.isInfinity())return a.toJ();if(a.isInfinity())return this;var b=this.z.redSqr(),c=this.x,d=a.x.redMul(b),e=this.y,f=a.y.redMul(b).redMul(this.z),g=c.redSub(d),h=e.redSub(f);if(0===g.cmpn(0))return 0!==h.cmpn(0)?this.curve.jpoint(null,null,null):this.dbl();var i=g.redSqr(),j=i.redMul(g),k=c.redMul(i),l=h.redSqr().redIAdd(j).redISub(k).redISub(k),m=h.redMul(k.redISub(l)).redISub(e.redMul(j)),n=this.z.redMul(g);return this.curve.jpoint(l,m,n)},f.prototype.dblp=function(a){if(0===a)return this;if(this.isInfinity())return this;if(!a)return this.dbl();if(this.curve.zeroA||this.curve.threeA){for(var b=this,c=0;c<a;c++)b=b.dbl();return b}for(var d=this.curve.a,e=this.curve.tinv,f=this.x,g=this.y,h=this.z,i=h.redSqr().redSqr(),j=g.redAdd(g),c=0;c<a;c++){var k=f.redSqr(),l=j.redSqr(),m=l.redSqr(),n=k.redAdd(k).redIAdd(k).redIAdd(d.redMul(i)),o=f.redMul(l),p=n.redSqr().redISub(o.redAdd(o)),q=o.redISub(p),r=n.redMul(q);r=r.redIAdd(r).redISub(m);var s=j.redMul(h);c+1<a&&(i=i.redMul(m)),f=p,h=s,j=r}return this.curve.jpoint(f,j.redMul(e),h)},f.prototype.dbl=function(){return this.isInfinity()?this:this.curve.zeroA?this._zeroDbl():this.curve.threeA?this._threeDbl():this._dbl()},f.prototype._zeroDbl=function(){var a,b,c;if(this.zOne){var d=this.x.redSqr(),e=this.y.redSqr(),f=e.redSqr(),g=this.x.redAdd(e).redSqr().redISub(d).redISub(f);g=g.redIAdd(g);var h=d.redAdd(d).redIAdd(d),i=h.redSqr().redISub(g).redISub(g),j=f.redIAdd(f);j=j.redIAdd(j),j=j.redIAdd(j),a=i,b=h.redMul(g.redISub(i)).redISub(j),c=this.y.redAdd(this.y)}else{var k=this.x.redSqr(),l=this.y.redSqr(),m=l.redSqr(),n=this.x.redAdd(l).redSqr().redISub(k).redISub(m);n=n.redIAdd(n);var o=k.redAdd(k).redIAdd(k),p=o.redSqr(),q=m.redIAdd(m);q=q.redIAdd(q),q=q.redIAdd(q),a=p.redISub(n).redISub(n),b=o.redMul(n.redISub(a)).redISub(q),c=this.y.redMul(this.z),c=c.redIAdd(c)}return this.curve.jpoint(a,b,c)},f.prototype._threeDbl=function(){var a,b,c;if(this.zOne){var d=this.x.redSqr(),e=this.y.redSqr(),f=e.redSqr(),g=this.x.redAdd(e).redSqr().redISub(d).redISub(f);g=g.redIAdd(g);var h=d.redAdd(d).redIAdd(d).redIAdd(this.curve.a),i=h.redSqr().redISub(g).redISub(g);a=i;var j=f.redIAdd(f);j=j.redIAdd(j),j=j.redIAdd(j),b=h.redMul(g.redISub(i)).redISub(j),c=this.y.redAdd(this.y)}else{var k=this.z.redSqr(),l=this.y.redSqr(),m=this.x.redMul(l),n=this.x.redSub(k).redMul(this.x.redAdd(k));n=n.redAdd(n).redIAdd(n);var o=m.redIAdd(m);o=o.redIAdd(o);var p=o.redAdd(o);a=n.redSqr().redISub(p),c=this.y.redAdd(this.z).redSqr().redISub(l).redISub(k);var q=l.redSqr();q=q.redIAdd(q),q=q.redIAdd(q),q=q.redIAdd(q),b=n.redMul(o.redISub(a)).redISub(q)}return this.curve.jpoint(a,b,c)},f.prototype._dbl=function(){var a=this.curve.a,b=this.x,c=this.y,d=this.z,e=d.redSqr().redSqr(),f=b.redSqr(),g=c.redSqr(),h=f.redAdd(f).redIAdd(f).redIAdd(a.redMul(e)),i=b.redAdd(b);i=i.redIAdd(i);var j=i.redMul(g),k=h.redSqr().redISub(j.redAdd(j)),l=j.redISub(k),m=g.redSqr();m=m.redIAdd(m),m=m.redIAdd(m),m=m.redIAdd(m);var n=h.redMul(l).redISub(m),o=c.redAdd(c).redMul(d);return this.curve.jpoint(k,n,o)},f.prototype.trpl=function(){if(!this.curve.zeroA)return this.dbl().add(this);var a=this.x.redSqr(),b=this.y.redSqr(),c=this.z.redSqr(),d=b.redSqr(),e=a.redAdd(a).redIAdd(a),f=e.redSqr(),g=this.x.redAdd(b).redSqr().redISub(a).redISub(d);g=g.redIAdd(g),g=g.redAdd(g).redIAdd(g),g=g.redISub(f);var h=g.redSqr(),i=d.redIAdd(d);i=i.redIAdd(i),i=i.redIAdd(i),i=i.redIAdd(i);var j=e.redIAdd(g).redSqr().redISub(f).redISub(h).redISub(i),k=b.redMul(j);k=k.redIAdd(k),k=k.redIAdd(k);var l=this.x.redMul(h).redISub(k);l=l.redIAdd(l),l=l.redIAdd(l);var m=this.y.redMul(j.redMul(i.redISub(j)).redISub(g.redMul(h)));m=m.redIAdd(m),m=m.redIAdd(m),m=m.redIAdd(m);var n=this.z.redAdd(g).redSqr().redISub(c).redISub(h);return this.curve.jpoint(l,m,n)},f.prototype.mul=function(a,b){return a=new i(a,b),this.curve._wnafMul(this,a)},f.prototype.eq=function(a){if("affine"===a.type)return this.eq(a.toJ());if(this===a)return!0;var b=this.z.redSqr(),c=a.z.redSqr();if(0!==this.x.redMul(c).redISub(a.x.redMul(b)).cmpn(0))return!1;var d=b.redMul(this.z),e=c.redMul(a.z);return 0===this.y.redMul(e).redISub(a.y.redMul(d)).cmpn(0)},f.prototype.eqXToP=function(a){var b=this.z.redSqr(),c=a.toRed(this.curve.red).redMul(b);if(0===this.x.cmp(c))return!0;for(var d=a.clone(),e=this.curve.redN.redMul(b);;){if(d.iadd(this.curve.n),d.cmp(this.curve.p)>=0)return!1;if(c.redIAdd(e),0===this.x.cmp(c))return!0}return!1},f.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)+">"},f.prototype.isInfinity=function(){return 0===this.z.cmpn(0)}},{"../../elliptic":1,"../curve":4,"bn.js":16,inherits:27}],7:[function(a,b,c){"use strict";function d(a){"short"===a.type?this.curve=new h.curve["short"](a):"edwards"===a.type?this.curve=new h.curve.edwards(a):this.curve=new h.curve.mont(a),this.g=this.curve.g,this.n=this.curve.n,this.hash=a.hash,i(this.g.validate(),"Invalid curve"),i(this.g.mul(this.n).isInfinity(),"Invalid curve, G*N != O")}function e(a,b){Object.defineProperty(f,a,{configurable:!0,enumerable:!0,get:function(){var c=new d(b);return Object.defineProperty(f,a,{configurable:!0,enumerable:!0,value:c}),c}})}var f=c,g=a("hash.js"),h=a("../elliptic"),i=h.utils.assert;f.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:g.sha256,gRed:!1,g:["188da80e b03090f6 7cbf20eb 43a18800 f4ff0afd 82ff1012","07192b95 ffc8da78 631011ed 6b24cdd5 73f977a1 1e794811"]}),e("p224",{type:"short",prime:"p224",p:"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:g.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",a:"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:g.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",a:"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:g.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"]}),e("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",n:"000001ff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffa 51868783 bf2f966b 7fcc0148 f709a5d0 3bb5c9b8 899c47ae bb6fb71e 91386409",hash:g.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",{type:"mont",prime:"p25519",p:"7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed",a:"76d06",b:"1",n:"1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed",hash:g.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:g.sha256,gRed:!1,g:["216936d3cd6e53fec0a4e231fdd6dc5c692cc7609525a7b2c9562d608f25d51a","6666666666666666666666666666666666666666666666666666666666666658"]});var j;try{j=a("./precomputed/secp256k1")}catch(k){
j=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:g.sha256,beta:"7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee",lambda:"5363ad4cc05c30e0a5261c028812645a122e22ea20816678df02967c1b23bd72",basis:[{a:"3086d221a7d46bcde86c90e49284eb15",b:"-e4437ed6010e88286f547fa90abfe4c3"},{a:"114ca50f7a8e2f3f657c1108d9d44cfd8",b:"3086d221a7d46bcde86c90e49284eb15"}],gRed:!1,g:["79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798","483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8",j]})},{"../elliptic":1,"./precomputed/secp256k1":14,"hash.js":19}],8:[function(a,b,c){"use strict";function d(a){return this instanceof d?("string"==typeof a&&(i(g.curves.hasOwnProperty(a),"Unknown curve "+a),a=g.curves[a]),a instanceof g.curves.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),void(this.hash=a.hash||a.curve.hash)):new d(a)}var e=a("bn.js"),f=a("hmac-drbg"),g=a("../../elliptic"),h=g.utils,i=h.assert,j=a("./key"),k=a("./signature");b.exports=d,d.prototype.keyPair=function(a){return new j(this,a)},d.prototype.keyFromPrivate=function(a,b){return j.fromPrivate(this,a,b)},d.prototype.keyFromPublic=function(a,b){return j.fromPublic(this,a,b)},d.prototype.genKeyPair=function(a){a||(a={});for(var b=new f({hash:this.hash,pers:a.pers,persEnc:a.persEnc||"utf8",entropy:a.entropy||g.rand(this.hash.hmacStrength),entropyEnc:a.entropy&&a.entropyEnc||"utf8",nonce:this.n.toArray()}),c=this.n.byteLength(),d=this.n.sub(new e(2));;){var h=new e(b.generate(c));if(!(h.cmp(d)>0))return h.iaddn(1),this.keyFromPrivate(h)}},d.prototype._truncateToN=function(a,b){var c=8*a.byteLength()-this.n.bitLength();return c>0&&(a=a.ushrn(c)),!b&&a.cmp(this.n)>=0?a.sub(this.n):a},d.prototype.sign=function(a,b,c,d){"object"==typeof c&&(d=c,c=null),d||(d={}),b=this.keyFromPrivate(b,c),a=this._truncateToN(new e(a,16));for(var g=this.n.byteLength(),h=b.getPrivate().toArray("be",g),i=a.toArray("be",g),j=new f({hash:this.hash,entropy:h,nonce:i,pers:d.pers,persEnc:d.persEnc||"utf8"}),l=this.n.sub(new e(1)),m=0;!0;m++){var n=d.k?d.k(m):new e(j.generate(this.n.byteLength()));if(n=this._truncateToN(n,!0),!(n.cmpn(1)<=0||n.cmp(l)>=0)){var o=this.g.mul(n);if(!o.isInfinity()){var p=o.getX(),q=p.umod(this.n);if(0!==q.cmpn(0)){var r=n.invm(this.n).mul(q.mul(b.getPrivate()).iadd(a));if(r=r.umod(this.n),0!==r.cmpn(0)){var s=(o.getY().isOdd()?1:0)|(0!==p.cmp(q)?2:0);return d.canonical&&r.cmp(this.nh)>0&&(r=this.n.sub(r),s^=1),new k({r:q,s:r,recoveryParam:s})}}}}}},d.prototype.verify=function(a,b,c,d){a=this._truncateToN(new e(a,16)),c=this.keyFromPublic(c,d),b=new k(b,"hex");var f=b.r,g=b.s;if(f.cmpn(1)<0||f.cmp(this.n)>=0)return!1;if(g.cmpn(1)<0||g.cmp(this.n)>=0)return!1;var h=g.invm(this.n),i=h.mul(a).umod(this.n),j=h.mul(f).umod(this.n);if(!this.curve._maxwellTrick){var l=this.g.mulAdd(i,c.getPublic(),j);return!l.isInfinity()&&0===l.getX().umod(this.n).cmp(f)}var l=this.g.jmulAdd(i,c.getPublic(),j);return!l.isInfinity()&&l.eqXToP(f)},d.prototype.recoverPubKey=function(a,b,c,d){i((3&c)===c,"The recovery param is more than two bits"),b=new k(b,d);var f=this.n,g=new e(a),h=b.r,j=b.s,l=1&c,m=c>>1;if(h.cmp(this.curve.p.umod(this.curve.n))>=0&&m)throw new Error("Unable to find sencond key candinate");h=m?this.curve.pointFromX(h.add(this.curve.n),l):this.curve.pointFromX(h,l);var n=b.r.invm(f),o=f.sub(g).mul(n).umod(f),p=j.mul(n).umod(f);return this.g.mulAdd(o,h,p)},d.prototype.getKeyRecoveryParam=function(a,b,c,d){if(b=new k(b,d),null!==b.recoveryParam)return b.recoveryParam;for(var e=0;e<4;e++){var f;try{f=this.recoverPubKey(a,b,e)}catch(a){continue}if(f.eq(c))return e}throw new Error("Unable to find valid recovery factor")}},{"../../elliptic":1,"./key":9,"./signature":10,"bn.js":16,"hmac-drbg":25}],9:[function(a,b,c){"use strict";function d(a,b){this.ec=a,this.priv=null,this.pub=null,b.priv&&this._importPrivate(b.priv,b.privEnc),b.pub&&this._importPublic(b.pub,b.pubEnc)}var e=a("bn.js"),f=a("../../elliptic"),g=f.utils,h=g.assert;b.exports=d,d.fromPublic=function(a,b,c){return b instanceof d?b:new d(a,{pub:b,pubEnc:c})},d.fromPrivate=function(a,b,c){return b instanceof d?b:new d(a,{priv:b,privEnc:c})},d.prototype.validate=function(){var a=this.getPublic();return a.isInfinity()?{result:!1,reason:"Invalid public key"}:a.validate()?a.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(a,b){return"string"==typeof a&&(b=a,a=null),this.pub||(this.pub=this.ec.g.mul(this.priv)),b?this.pub.encode(b,a):this.pub},d.prototype.getPrivate=function(a){return"hex"===a?this.priv.toString(16,2):this.priv},d.prototype._importPrivate=function(a,b){this.priv=new e(a,b||16),this.priv=this.priv.umod(this.ec.curve.n)},d.prototype._importPublic=function(a,b){return a.x||a.y?("mont"===this.ec.curve.type?h(a.x,"Need x coordinate"):"short"!==this.ec.curve.type&&"edwards"!==this.ec.curve.type||h(a.x&&a.y,"Need both x and y coordinate"),void(this.pub=this.ec.curve.point(a.x,a.y))):void(this.pub=this.ec.curve.decodePoint(a,b))},d.prototype.derive=function(a){return a.mul(this.priv).getX()},d.prototype.sign=function(a,b,c){return this.ec.sign(a,this,b,c)},d.prototype.verify=function(a,b){return this.ec.verify(a,b,this)},d.prototype.inspect=function(){return"<Key priv: "+(this.priv&&this.priv.toString(16,2))+" pub: "+(this.pub&&this.pub.inspect())+" >"}},{"../../elliptic":1,"bn.js":16}],10:[function(a,b,c){"use strict";function d(a,b){return a instanceof d?a:void(this._importDER(a,b)||(l(a.r&&a.s,"Signature without r or s"),this.r=new i(a.r,16),this.s=new i(a.s,16),void 0===a.recoveryParam?this.recoveryParam=null:this.recoveryParam=a.recoveryParam))}function e(){this.place=0}function f(a,b){var c=a[b.place++];if(!(128&c))return c;for(var d=15&c,e=0,f=0,g=b.place;f<d;f++,g++)e<<=8,e|=a[g];return b.place=g,e}function g(a){for(var b=0,c=a.length-1;!a[b]&&!(128&a[b+1])&&b<c;)b++;return 0===b?a:a.slice(b)}function h(a,b){if(b<128)return void a.push(b);var c=1+(Math.log(b)/Math.LN2>>>3);for(a.push(128|c);--c;)a.push(b>>>(c<<3)&255);a.push(b)}var i=a("bn.js"),j=a("../../elliptic"),k=j.utils,l=k.assert;b.exports=d,d.prototype._importDER=function(a,b){a=k.toArray(a,b);var c=new e;if(48!==a[c.place++])return!1;var d=f(a,c);if(d+c.place!==a.length)return!1;if(2!==a[c.place++])return!1;var g=f(a,c),h=a.slice(c.place,g+c.place);if(c.place+=g,2!==a[c.place++])return!1;var j=f(a,c);if(a.length!==j+c.place)return!1;var l=a.slice(c.place,j+c.place);return 0===h[0]&&128&h[1]&&(h=h.slice(1)),0===l[0]&&128&l[1]&&(l=l.slice(1)),this.r=new i(h),this.s=new i(l),this.recoveryParam=null,!0},d.prototype.toDER=function(a){var b=this.r.toArray(),c=this.s.toArray();for(128&b[0]&&(b=[0].concat(b)),128&c[0]&&(c=[0].concat(c)),b=g(b),c=g(c);!(c[0]||128&c[1]);)c=c.slice(1);var d=[2];h(d,b.length),d=d.concat(b),d.push(2),h(d,c.length);var e=d.concat(c),f=[48];return h(f,e.length),f=f.concat(e),k.encode(f,a)}},{"../../elliptic":1,"bn.js":16}],11:[function(a,b,c){"use strict";function d(a){if(h("ed25519"===a,"only tested with ed25519 so far"),!(this instanceof d))return new d(a);var a=f.curves[a].curve;this.curve=a,this.g=a.g,this.g.precompute(a.n.bitLength()+1),this.pointClass=a.point().constructor,this.encodingLength=Math.ceil(a.n.bitLength()/8),this.hash=e.sha512}var e=a("hash.js"),f=a("../../elliptic"),g=f.utils,h=g.assert,i=g.parseBytes,j=a("./key"),k=a("./signature");b.exports=d,d.prototype.sign=function(a,b){a=i(a);var c=this.keyFromSecret(b),d=this.hashInt(c.messagePrefix(),a),e=this.g.mul(d),f=this.encodePoint(e),g=this.hashInt(f,c.pubBytes(),a).mul(c.priv()),h=d.add(g).umod(this.curve.n);return this.makeSignature({R:e,S:h,Rencoded:f})},d.prototype.verify=function(a,b,c){a=i(a),b=this.makeSignature(b);var d=this.keyFromPublic(c),e=this.hashInt(b.Rencoded(),d.pubBytes(),a),f=this.g.mul(b.S()),g=b.R().add(d.pub().mul(e));return g.eq(f)},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 j.fromPublic(this,a)},d.prototype.keyFromSecret=function(a){return j.fromSecret(this,a)},d.prototype.makeSignature=function(a){return a instanceof k?a:new k(this,a)},d.prototype.encodePoint=function(a){var b=a.getY().toArray("le",this.encodingLength);return b[this.encodingLength-1]|=a.getX().isOdd()?128:0,b},d.prototype.decodePoint=function(a){a=g.parseBytes(a);var b=a.length-1,c=a.slice(0,b).concat(a[b]&-129),d=0!==(128&a[b]),e=g.intFromLE(c);return this.curve.pointFromY(e,d)},d.prototype.encodeInt=function(a){return a.toArray("le",this.encodingLength)},d.prototype.decodeInt=function(a){return g.intFromLE(a)},d.prototype.isPoint=function(a){return a instanceof this.pointClass}},{"../../elliptic":1,"./key":12,"./signature":13,"hash.js":19}],12:[function(a,b,c){"use strict";function d(a,b){this.eddsa=a,this._secret=h(b.secret),a.isPoint(b.pub)?this._pub=b.pub:this._pubBytes=h(b.pub)}var e=a("../../elliptic"),f=e.utils,g=f.assert,h=f.parseBytes,i=f.cachedProperty;d.fromPublic=function(a,b){return b instanceof d?b:new d(a,{pub:b})},d.fromSecret=function(a,b){return b instanceof d?b:new d(a,{secret:b})},d.prototype.secret=function(){return this._secret},i(d,"pubBytes",function(){return this.eddsa.encodePoint(this.pub())}),i(d,"pub",function(){return this._pubBytes?this.eddsa.decodePoint(this._pubBytes):this.eddsa.g.mul(this.priv())}),i(d,"privBytes",function(){var a=this.eddsa,b=this.hash(),c=a.encodingLength-1,d=b.slice(0,a.encodingLength);return d[0]&=248,d[c]&=127,d[c]|=64,d}),i(d,"priv",function(){return this.eddsa.decodeInt(this.privBytes())}),i(d,"hash",function(){return this.eddsa.hash().update(this.secret()).digest()}),i(d,"messagePrefix",function(){return this.hash().slice(this.eddsa.encodingLength)}),d.prototype.sign=function(a){return g(this._secret,"KeyPair can only verify"),this.eddsa.sign(a,this)},d.prototype.verify=function(a,b){return this.eddsa.verify(a,b,this)},d.prototype.getSecret=function(a){return g(this._secret,"KeyPair is public only"),f.encode(this.secret(),a)},d.prototype.getPublic=function(a){return f.encode(this.pubBytes(),a)},b.exports=d},{"../../elliptic":1}],13:[function(a,b,c){"use strict";function d(a,b){this.eddsa=a,"object"!=typeof b&&(b=j(b)),Array.isArray(b)&&(b={R:b.slice(0,a.encodingLength),S:b.slice(a.encodingLength)}),h(b.R&&b.S,"Signature without R or S"),a.isPoint(b.R)&&(this._R=b.R),b.S instanceof e&&(this._S=b.S),this._Rencoded=Array.isArray(b.R)?b.R:b.Rencoded,this._Sencoded=Array.isArray(b.S)?b.S:b.Sencoded}var e=a("bn.js"),f=a("../../elliptic"),g=f.utils,h=g.assert,i=g.cachedProperty,j=g.parseBytes;i(d,"S",function(){return this.eddsa.decodeInt(this.Sencoded())}),i(d,"R",function(){return this.eddsa.decodePoint(this.Rencoded())}),i(d,"Rencoded",function(){return this.eddsa.encodePoint(this.R())}),i(d,"Sencoded",function(){return this.eddsa.encodeInt(this.S())}),d.prototype.toBytes=function(){return this.Rencoded().concat(this.Sencoded())},d.prototype.toHex=function(){return 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i=c,j=a("bn.js"),k=a("minimalistic-assert"),l=a("minimalistic-crypto-utils");i.assert=k,i.toArray=l.toArray,i.zero2=l.zero2,i.toHex=l.toHex,i.encode=l.encode,i.getNAF=d,i.getJSF=e,i.cachedProperty=f,i.parseBytes=g,i.intFromLE=h},{"bn.js":16,"minimalistic-assert":28,"minimalistic-crypto-utils":29}],16:[function(a,b,c){!function(b,c){"use strict";function d(a,b){if(!a)throw new Error(b||"Assertion failed")}function e(a,b){a.super_=b;var c=function(){};c.prototype=b.prototype,a.prototype=new c,a.prototype.constructor=a}function f(a,b,c){return f.isBN(a)?a:(this.negative=0,this.words=null,this.length=0,this.red=null,void(null!==a&&("le"!==b&&"be"!==b||(c=b,b=10),this._init(a||0,b||10,c||"be"))))}function g(a,b,c){for(var d=0,e=Math.min(a.length,c),f=b;f<e;f++){var g=a.charCodeAt(f)-48;d<<=4,d|=g>=49&&g<=54?g-49+10:g>=17&&g<=22?g-17+10:15&g}return d}function h(a,b,c,d){for(var e=0,f=Math.min(a.length,c),g=b;g<f;g++){var h=a.charCodeAt(g)-48;e*=d,e+=h>=49?h-49+10:h>=17?h-17+10:h}return 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e=0;"-"===a[0]&&e++,16===b?this._parseHex(a,e):this._parseBase(a,b,e),"-"===a[0]&&(this.negative=1),this.strip(),"le"===c&&this._initArray(this.toArray(),b,c)},f.prototype._initNumber=function(a,b,c){a<0&&(this.negative=1,a=-a),a<67108864?(this.words=[67108863&a],this.length=1):a<4503599627370496?(this.words=[67108863&a,a/67108864&67108863],this.length=2):(d(a<9007199254740992),this.words=[67108863&a,a/67108864&67108863,1],this.length=3),"le"===c&&this._initArray(this.toArray(),b,c)},f.prototype._initArray=function(a,b,c){if(d("number"==typeof a.length),a.length<=0)return this.words=[0],this.length=1,this;this.length=Math.ceil(a.length/3),this.words=new Array(this.length);for(var e=0;e<this.length;e++)this.words[e]=0;var f,g,h=0;if("be"===c)for(e=a.length-1,f=0;e>=0;e-=3)g=a[e]|a[e-1]<<8|a[e-2]<<16,this.words[f]|=g<<h&67108863,this.words[f+1]=g>>>26-h&67108863,h+=24,h>=26&&(h-=26,f++);else 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l=1;for(j=h(a,k,a.length,b),k=0;k<g;k++)l*=b;this.imuln(l),this.words[0]+j<67108864?this.words[0]+=j:this._iaddn(j)}},f.prototype.copy=function(a){a.words=new Array(this.length);for(var b=0;b<this.length;b++)a.words[b]=this.words[b];a.length=this.length,a.negative=this.negative,a.red=this.red},f.prototype.clone=function(){var a=new f(null);return this.copy(a),a},f.prototype._expand=function(a){for(;this.length<a;)this.words[this.length++]=0;return this},f.prototype.strip=function(){for(;this.length>1&&0===this.words[this.length-1];)this.length--;return this._normSign()},f.prototype._normSign=function(){return 1===this.length&&0===this.words[0]&&(this.negative=0),this},f.prototype.inspect=function(){return(this.red?"<BN-R: ":"<BN: ")+this.toString(16)+">"};var 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ta=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(ta>>>26)|0,ta&=67108863,d=Math.imul(x,P),e=Math.imul(x,Q),e=e+Math.imul(y,P)|0,f=Math.imul(y,Q),d=d+Math.imul(u,S)|0,e=e+Math.imul(u,T)|0,e=e+Math.imul(v,S)|0,f=f+Math.imul(v,T)|0,d=d+Math.imul(r,V)|0,e=e+Math.imul(r,W)|0,e=e+Math.imul(s,V)|0,f=f+Math.imul(s,W)|0,d=d+Math.imul(o,Y)|0,e=e+Math.imul(o,Z)|0,e=e+Math.imul(p,Y)|0,f=f+Math.imul(p,Z)|0,d=d+Math.imul(l,_)|0,e=e+Math.imul(l,aa)|0,e=e+Math.imul(m,_)|0,f=f+Math.imul(m,aa)|0;var ua=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(ua>>>26)|0,ua&=67108863,d=Math.imul(A,P),e=Math.imul(A,Q),e=e+Math.imul(B,P)|0,f=Math.imul(B,Q),d=d+Math.imul(x,S)|0,e=e+Math.imul(x,T)|0,e=e+Math.imul(y,S)|0,f=f+Math.imul(y,T)|0,d=d+Math.imul(u,V)|0,e=e+Math.imul(u,W)|0,e=e+Math.imul(v,V)|0,f=f+Math.imul(v,W)|0,d=d+Math.imul(r,Y)|0,e=e+Math.imul(r,Z)|0,e=e+Math.imul(s,Y)|0,f=f+Math.imul(s,Z)|0,d=d+Math.imul(o,_)|0,e=e+Math.imul(o,aa)|0,e=e+Math.imul(p,_)|0,f=f+Math.imul(p,aa)|0,d=d+Math.imul(l,ca)|0,e=e+Math.imul(l,da)|0,e=e+Math.imul(m,ca)|0,f=f+Math.imul(m,da)|0;var va=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(va>>>26)|0,va&=67108863,d=Math.imul(D,P),e=Math.imul(D,Q),e=e+Math.imul(E,P)|0,f=Math.imul(E,Q),d=d+Math.imul(A,S)|0,e=e+Math.imul(A,T)|0,e=e+Math.imul(B,S)|0,f=f+Math.imul(B,T)|0,d=d+Math.imul(x,V)|0,e=e+Math.imul(x,W)|0,e=e+Math.imul(y,V)|0,f=f+Math.imul(y,W)|0,d=d+Math.imul(u,Y)|0,e=e+Math.imul(u,Z)|0,e=e+Math.imul(v,Y)|0,f=f+Math.imul(v,Z)|0,d=d+Math.imul(r,_)|0,e=e+Math.imul(r,aa)|0,e=e+Math.imul(s,_)|0,f=f+Math.imul(s,aa)|0,d=d+Math.imul(o,ca)|0,e=e+Math.imul(o,da)|0,e=e+Math.imul(p,ca)|0,f=f+Math.imul(p,da)|0,d=d+Math.imul(l,fa)|0,e=e+Math.imul(l,ga)|0,e=e+Math.imul(m,fa)|0,f=f+Math.imul(m,ga)|0;var wa=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(wa>>>26)|0,wa&=67108863,d=Math.imul(G,P),e=Math.imul(G,Q),e=e+Math.imul(H,P)|0,f=Math.imul(H,Q),d=d+Math.imul(D,S)|0,e=e+Math.imul(D,T)|0,e=e+Math.imul(E,S)|0,f=f+Math.imul(E,T)|0,d=d+Math.imul(A,V)|0,e=e+Math.imul(A,W)|0,e=e+Math.imul(B,V)|0,f=f+Math.imul(B,W)|0,d=d+Math.imul(x,Y)|0,e=e+Math.imul(x,Z)|0,e=e+Math.imul(y,Y)|0,f=f+Math.imul(y,Z)|0,d=d+Math.imul(u,_)|0,e=e+Math.imul(u,aa)|0,e=e+Math.imul(v,_)|0,f=f+Math.imul(v,aa)|0,d=d+Math.imul(r,ca)|0,e=e+Math.imul(r,da)|0,e=e+Math.imul(s,ca)|0,f=f+Math.imul(s,da)|0,d=d+Math.imul(o,fa)|0,e=e+Math.imul(o,ga)|0,e=e+Math.imul(p,fa)|0,f=f+Math.imul(p,ga)|0,d=d+Math.imul(l,ia)|0,e=e+Math.imul(l,ja)|0,e=e+Math.imul(m,ia)|0,f=f+Math.imul(m,ja)|0;var xa=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(xa>>>26)|0,xa&=67108863,d=Math.imul(J,P),e=Math.imul(J,Q),e=e+Math.imul(K,P)|0,f=Math.imul(K,Q),d=d+Math.imul(G,S)|0,e=e+Math.imul(G,T)|0,e=e+Math.imul(H,S)|0,f=f+Math.imul(H,T)|0,d=d+Math.imul(D,V)|0,e=e+Math.imul(D,W)|0,e=e+Math.imul(E,V)|0,f=f+Math.imul(E,W)|0,d=d+Math.imul(A,Y)|0,e=e+Math.imul(A,Z)|0,e=e+Math.imul(B,Y)|0,f=f+Math.imul(B,Z)|0,d=d+Math.imul(x,_)|0,e=e+Math.imul(x,aa)|0,e=e+Math.imul(y,_)|0,f=f+Math.imul(y,aa)|0,d=d+Math.imul(u,ca)|0,e=e+Math.imul(u,da)|0,e=e+Math.imul(v,ca)|0,f=f+Math.imul(v,da)|0,d=d+Math.imul(r,fa)|0,e=e+Math.imul(r,ga)|0,e=e+Math.imul(s,fa)|0,f=f+Math.imul(s,ga)|0,d=d+Math.imul(o,ia)|0,e=e+Math.imul(o,ja)|0,e=e+Math.imul(p,ia)|0,f=f+Math.imul(p,ja)|0,d=d+Math.imul(l,la)|0,e=e+Math.imul(l,ma)|0,e=e+Math.imul(m,la)|0,f=f+Math.imul(m,ma)|0;var ya=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(ya>>>26)|0,ya&=67108863,d=Math.imul(M,P),e=Math.imul(M,Q),e=e+Math.imul(N,P)|0,f=Math.imul(N,Q),d=d+Math.imul(J,S)|0,e=e+Math.imul(J,T)|0,e=e+Math.imul(K,S)|0,f=f+Math.imul(K,T)|0,d=d+Math.imul(G,V)|0,e=e+Math.imul(G,W)|0,e=e+Math.imul(H,V)|0,f=f+Math.imul(H,W)|0,d=d+Math.imul(D,Y)|0,e=e+Math.imul(D,Z)|0,e=e+Math.imul(E,Y)|0,f=f+Math.imul(E,Z)|0,d=d+Math.imul(A,_)|0,e=e+Math.imul(A,aa)|0,e=e+Math.imul(B,_)|0,f=f+Math.imul(B,aa)|0,d=d+Math.imul(x,ca)|0,e=e+Math.imul(x,da)|0,e=e+Math.imul(y,ca)|0,f=f+Math.imul(y,da)|0,d=d+Math.imul(u,fa)|0,e=e+Math.imul(u,ga)|0,e=e+Math.imul(v,fa)|0,f=f+Math.imul(v,ga)|0,d=d+Math.imul(r,ia)|0,e=e+Math.imul(r,ja)|0,e=e+Math.imul(s,ia)|0,f=f+Math.imul(s,ja)|0,d=d+Math.imul(o,la)|0,e=e+Math.imul(o,ma)|0,e=e+Math.imul(p,la)|0,f=f+Math.imul(p,ma)|0,d=d+Math.imul(l,oa)|0,e=e+Math.imul(l,pa)|0,e=e+Math.imul(m,oa)|0,f=f+Math.imul(m,pa)|0;var za=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(za>>>26)|0,za&=67108863,d=Math.imul(M,S),e=Math.imul(M,T),e=e+Math.imul(N,S)|0,f=Math.imul(N,T),d=d+Math.imul(J,V)|0,e=e+Math.imul(J,W)|0,e=e+Math.imul(K,V)|0,f=f+Math.imul(K,W)|0,d=d+Math.imul(G,Y)|0,e=e+Math.imul(G,Z)|0,e=e+Math.imul(H,Y)|0,f=f+Math.imul(H,Z)|0,d=d+Math.imul(D,_)|0,e=e+Math.imul(D,aa)|0,e=e+Math.imul(E,_)|0,f=f+Math.imul(E,aa)|0,d=d+Math.imul(A,ca)|0,e=e+Math.imul(A,da)|0,e=e+Math.imul(B,ca)|0,f=f+Math.imul(B,da)|0,d=d+Math.imul(x,fa)|0,e=e+Math.imul(x,ga)|0,e=e+Math.imul(y,fa)|0,f=f+Math.imul(y,ga)|0,d=d+Math.imul(u,ia)|0,e=e+Math.imul(u,ja)|0,e=e+Math.imul(v,ia)|0,f=f+Math.imul(v,ja)|0,d=d+Math.imul(r,la)|0,e=e+Math.imul(r,ma)|0,e=e+Math.imul(s,la)|0,f=f+Math.imul(s,ma)|0,d=d+Math.imul(o,oa)|0,e=e+Math.imul(o,pa)|0,e=e+Math.imul(p,oa)|0,f=f+Math.imul(p,pa)|0;var Aa=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Aa>>>26)|0,Aa&=67108863,d=Math.imul(M,V),e=Math.imul(M,W),e=e+Math.imul(N,V)|0,f=Math.imul(N,W),d=d+Math.imul(J,Y)|0,e=e+Math.imul(J,Z)|0,e=e+Math.imul(K,Y)|0,f=f+Math.imul(K,Z)|0,d=d+Math.imul(G,_)|0,e=e+Math.imul(G,aa)|0,e=e+Math.imul(H,_)|0,f=f+Math.imul(H,aa)|0,d=d+Math.imul(D,ca)|0,e=e+Math.imul(D,da)|0,e=e+Math.imul(E,ca)|0,f=f+Math.imul(E,da)|0,d=d+Math.imul(A,fa)|0,e=e+Math.imul(A,ga)|0,e=e+Math.imul(B,fa)|0,f=f+Math.imul(B,ga)|0,d=d+Math.imul(x,ia)|0,e=e+Math.imul(x,ja)|0,e=e+Math.imul(y,ia)|0,f=f+Math.imul(y,ja)|0,d=d+Math.imul(u,la)|0,e=e+Math.imul(u,ma)|0,e=e+Math.imul(v,la)|0,f=f+Math.imul(v,ma)|0,d=d+Math.imul(r,oa)|0,e=e+Math.imul(r,pa)|0,e=e+Math.imul(s,oa)|0,f=f+Math.imul(s,pa)|0;var Ba=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Ba>>>26)|0,Ba&=67108863,d=Math.imul(M,Y),e=Math.imul(M,Z),e=e+Math.imul(N,Y)|0,f=Math.imul(N,Z),d=d+Math.imul(J,_)|0,e=e+Math.imul(J,aa)|0,e=e+Math.imul(K,_)|0,f=f+Math.imul(K,aa)|0,d=d+Math.imul(G,ca)|0,e=e+Math.imul(G,da)|0,e=e+Math.imul(H,ca)|0,f=f+Math.imul(H,da)|0,d=d+Math.imul(D,fa)|0,e=e+Math.imul(D,ga)|0,e=e+Math.imul(E,fa)|0,f=f+Math.imul(E,ga)|0,d=d+Math.imul(A,ia)|0,e=e+Math.imul(A,ja)|0,e=e+Math.imul(B,ia)|0,f=f+Math.imul(B,ja)|0,d=d+Math.imul(x,la)|0,e=e+Math.imul(x,ma)|0,e=e+Math.imul(y,la)|0,f=f+Math.imul(y,ma)|0,d=d+Math.imul(u,oa)|0,e=e+Math.imul(u,pa)|0,e=e+Math.imul(v,oa)|0,f=f+Math.imul(v,pa)|0;var Ca=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Ca>>>26)|0,Ca&=67108863,d=Math.imul(M,_),e=Math.imul(M,aa),e=e+Math.imul(N,_)|0,f=Math.imul(N,aa),d=d+Math.imul(J,ca)|0,e=e+Math.imul(J,da)|0,e=e+Math.imul(K,ca)|0,f=f+Math.imul(K,da)|0,d=d+Math.imul(G,fa)|0,e=e+Math.imul(G,ga)|0,e=e+Math.imul(H,fa)|0,f=f+Math.imul(H,ga)|0,d=d+Math.imul(D,ia)|0,e=e+Math.imul(D,ja)|0,e=e+Math.imul(E,ia)|0,f=f+Math.imul(E,ja)|0,d=d+Math.imul(A,la)|0,e=e+Math.imul(A,ma)|0,e=e+Math.imul(B,la)|0,f=f+Math.imul(B,ma)|0,d=d+Math.imul(x,oa)|0,e=e+Math.imul(x,pa)|0,e=e+Math.imul(y,oa)|0,f=f+Math.imul(y,pa)|0;var Da=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Da>>>26)|0,Da&=67108863,d=Math.imul(M,ca),e=Math.imul(M,da),e=e+Math.imul(N,ca)|0,f=Math.imul(N,da),d=d+Math.imul(J,fa)|0,e=e+Math.imul(J,ga)|0,e=e+Math.imul(K,fa)|0,f=f+Math.imul(K,ga)|0,d=d+Math.imul(G,ia)|0,e=e+Math.imul(G,ja)|0,e=e+Math.imul(H,ia)|0,f=f+Math.imul(H,ja)|0,d=d+Math.imul(D,la)|0,e=e+Math.imul(D,ma)|0,e=e+Math.imul(E,la)|0,f=f+Math.imul(E,ma)|0,d=d+Math.imul(A,oa)|0,e=e+Math.imul(A,pa)|0,e=e+Math.imul(B,oa)|0,f=f+Math.imul(B,pa)|0;var Ea=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Ea>>>26)|0,Ea&=67108863,d=Math.imul(M,fa),e=Math.imul(M,ga),e=e+Math.imul(N,fa)|0,f=Math.imul(N,ga),d=d+Math.imul(J,ia)|0,e=e+Math.imul(J,ja)|0,e=e+Math.imul(K,ia)|0,f=f+Math.imul(K,ja)|0,d=d+Math.imul(G,la)|0,e=e+Math.imul(G,ma)|0,e=e+Math.imul(H,la)|0,f=f+Math.imul(H,ma)|0,d=d+Math.imul(D,oa)|0,e=e+Math.imul(D,pa)|0,e=e+Math.imul(E,oa)|0,f=f+Math.imul(E,pa)|0;var Fa=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Fa>>>26)|0,Fa&=67108863,d=Math.imul(M,ia),e=Math.imul(M,ja),e=e+Math.imul(N,ia)|0,f=Math.imul(N,ja),d=d+Math.imul(J,la)|0,e=e+Math.imul(J,ma)|0,e=e+Math.imul(K,la)|0,f=f+Math.imul(K,ma)|0,d=d+Math.imul(G,oa)|0,e=e+Math.imul(G,pa)|0,e=e+Math.imul(H,oa)|0,f=f+Math.imul(H,pa)|0;var Ga=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Ga>>>26)|0,Ga&=67108863,d=Math.imul(M,la),e=Math.imul(M,ma),e=e+Math.imul(N,la)|0,f=Math.imul(N,ma),d=d+Math.imul(J,oa)|0,e=e+Math.imul(J,pa)|0,e=e+Math.imul(K,oa)|0,f=f+Math.imul(K,pa)|0;var Ha=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Ha>>>26)|0,Ha&=67108863,d=Math.imul(M,oa),e=Math.imul(M,pa),e=e+Math.imul(N,oa)|0,f=Math.imul(N,pa);var Ia=(j+d|0)+((8191&e)<<13)|0;return j=(f+(e>>>13)|0)+(Ia>>>26)|0,Ia&=67108863,i[0]=qa,i[1]=ra,i[2]=sa,i[3]=ta,i[4]=ua,i[5]=va,i[6]=wa,i[7]=xa,i[8]=ya,i[9]=za,i[10]=Aa,i[11]=Ba,i[12]=Ca,i[13]=Da,i[14]=Ea,i[15]=Fa,i[16]=Ga,i[17]=Ha,i[18]=Ia,0!==j&&(i[19]=j,c.length++),c};Math.imul||(z=j),f.prototype.mulTo=function(a,b){var c,d=this.length+a.length;return c=10===this.length&&10===a.length?z(this,a,b):d<63?j(this,a,b):d<1024?k(this,a,b):l(this,a,b)},m.prototype.makeRBT=function(a){for(var b=new Array(a),c=f.prototype._countBits(a)-1,d=0;d<a;d++)b[d]=this.revBin(d,c,a);return b},m.prototype.revBin=function(a,b,c){if(0===a||a===c-1)return a;for(var d=0,e=0;e<b;e++)d|=(1&a)<<b-e-1,a>>=1;return d},m.prototype.permute=function(a,b,c,d,e,f){for(var g=0;g<f;g++)d[g]=b[a[g]],e[g]=c[a[g]]},m.prototype.transform=function(a,b,c,d,e,f){this.permute(f,a,b,c,d,e);for(var g=1;g<e;g<<=1)for(var h=g<<1,i=Math.cos(2*Math.PI/h),j=Math.sin(2*Math.PI/h),k=0;k<e;k+=h)for(var l=i,m=j,n=0;n<g;n++){var o=c[k+n],p=d[k+n],q=c[k+n+g],r=d[k+n+g],s=l*q-m*r;r=l*r+m*q,q=s,c[k+n]=o+q,d[k+n]=p+r,c[k+n+g]=o-q,d[k+n+g]=p-r,n!==h&&(s=i*l-j*m,m=i*m+j*l,l=s)}},m.prototype.guessLen13b=function(a,b){var c=1|Math.max(b,a),d=1&c,e=0;for(c=c/2|0;c;c>>>=1)e++;return 1<<e+1+d},m.prototype.conjugate=function(a,b,c){if(!(c<=1))for(var d=0;d<c/2;d++){var e=a[d];a[d]=a[c-d-1],a[c-d-1]=e,e=b[d],b[d]=-b[c-d-1],b[c-d-1]=-e}},m.prototype.normalize13b=function(a,b){for(var c=0,d=0;d<b/2;d++){var e=8192*Math.round(a[2*d+1]/b)+Math.round(a[2*d]/b)+c;a[d]=67108863&e,c=e<67108864?0:e/67108864|0}return a},m.prototype.convert13b=function(a,b,c,e){for(var f=0,g=0;g<b;g++)f+=0|a[g],c[2*g]=8191&f,f>>>=13,c[2*g+1]=8191&f,f>>>=13;for(g=2*b;g<e;++g)c[g]=0;d(0===f),d(0===(f&-8192))},m.prototype.stub=function(a){for(var b=new Array(a),c=0;c<a;c++)b[c]=0;return b},m.prototype.mulp=function(a,b,c){var d=2*this.guessLen13b(a.length,b.length),e=this.makeRBT(d),f=this.stub(d),g=new Array(d),h=new Array(d),i=new Array(d),j=new Array(d),k=new Array(d),l=new Array(d),m=c.words;m.length=d,this.convert13b(a.words,a.length,g,d),this.convert13b(b.words,b.length,j,d),this.transform(g,f,h,i,d,e),this.transform(j,f,k,l,d,e);for(var n=0;n<d;n++){var o=h[n]*k[n]-i[n]*l[n];i[n]=h[n]*l[n]+i[n]*k[n],h[n]=o}return this.conjugate(h,i,d),this.transform(h,i,m,f,d,e),this.conjugate(m,f,d),this.normalize13b(m,d),c.negative=a.negative^b.negative,c.length=a.length+b.length,c.strip()},f.prototype.mul=function(a){var b=new f(null);return b.words=new Array(this.length+a.length),this.mulTo(a,b)},f.prototype.mulf=function(a){var b=new f(null);return b.words=new Array(this.length+a.length),l(this,a,b)},f.prototype.imul=function(a){return this.clone().mulTo(a,this)},f.prototype.imuln=function(a){d("number"==typeof a),d(a<67108864);for(var b=0,c=0;c<this.length;c++){var e=(0|this.words[c])*a,f=(67108863&e)+(67108863&b);b>>=26,b+=e/67108864|0,b+=f>>>26,this.words[c]=67108863&f}return 0!==b&&(this.words[c]=b,this.length++),this},f.prototype.muln=function(a){return this.clone().imuln(a)},f.prototype.sqr=function(){return this.mul(this)},f.prototype.isqr=function(){return this.imul(this.clone())},f.prototype.pow=function(a){var b=i(a);if(0===b.length)return new f(1);for(var c=this,d=0;d<b.length&&0===b[d];d++,c=c.sqr());if(++d<b.length)for(var e=c.sqr();d<b.length;d++,e=e.sqr())0!==b[d]&&(c=c.mul(e));return c},f.prototype.iushln=function(a){d("number"==typeof a&&a>=0);var b,c=a%26,e=(a-c)/26,f=67108863>>>26-c<<26-c;if(0!==c){var g=0;for(b=0;b<this.length;b++){var h=this.words[b]&f,i=(0|this.words[b])-h<<c;this.words[b]=i|g,g=h>>>26-c}g&&(this.words[b]=g,this.length++)}if(0!==e){for(b=this.length-1;b>=0;b--)this.words[b+e]=this.words[b];for(b=0;b<e;b++)this.words[b]=0;this.length+=e}return this.strip()},f.prototype.ishln=function(a){return d(0===this.negative),this.iushln(a)},f.prototype.iushrn=function(a,b,c){d("number"==typeof a&&a>=0);var e;e=b?(b-b%26)/26:0;var f=a%26,g=Math.min((a-f)/26,this.length),h=67108863^67108863>>>f<<f,i=c;if(e-=g,e=Math.max(0,e),i){for(var j=0;j<g;j++)i.words[j]=this.words[j];i.length=g}if(0===g);else if(this.length>g)for(this.length-=g,j=0;j<this.length;j++)this.words[j]=this.words[j+g];else this.words[0]=0,this.length=1;var k=0;for(j=this.length-1;j>=0&&(0!==k||j>=e);j--){var l=0|this.words[j];this.words[j]=k<<26-f|l>>>f,k=l&h}return i&&0!==k&&(i.words[i.length++]=k),0===this.length&&(this.words[0]=0,this.length=1),this.strip()},f.prototype.ishrn=function(a,b,c){return d(0===this.negative),this.iushrn(a,b,c)},f.prototype.shln=function(a){return this.clone().ishln(a)},f.prototype.ushln=function(a){return this.clone().iushln(a)},f.prototype.shrn=function(a){return this.clone().ishrn(a)},f.prototype.ushrn=function(a){return this.clone().iushrn(a)},f.prototype.testn=function(a){d("number"==typeof a&&a>=0);var b=a%26,c=(a-b)/26,e=1<<b;if(this.length<=c)return!1;var f=this.words[c];return!!(f&e)},f.prototype.imaskn=function(a){d("number"==typeof a&&a>=0);var b=a%26,c=(a-b)/26;if(d(0===this.negative,"imaskn works only with positive numbers"),this.length<=c)return this;if(0!==b&&c++,this.length=Math.min(c,this.length),0!==b){var e=67108863^67108863>>>b<<b;this.words[this.length-1]&=e}return this.strip()},f.prototype.maskn=function(a){return this.clone().imaskn(a)},f.prototype.iaddn=function(a){return d("number"==typeof a),d(a<67108864),a<0?this.isubn(-a):0!==this.negative?1===this.length&&(0|this.words[0])<a?(this.words[0]=a-(0|this.words[0]),this.negative=0,this):(this.negative=0,this.isubn(a),this.negative=1,this):this._iaddn(a)},f.prototype._iaddn=function(a){this.words[0]+=a;for(var b=0;b<this.length&&this.words[b]>=67108864;b++)this.words[b]-=67108864,b===this.length-1?this.words[b+1]=1:this.words[b+1]++;return this.length=Math.max(this.length,b+1),this},f.prototype.isubn=function(a){if(d("number"==typeof a),d(a<67108864),a<0)return this.iaddn(-a);if(0!==this.negative)return this.negative=0,this.iaddn(a),this.negative=1,this;if(this.words[0]-=a,1===this.length&&this.words[0]<0)this.words[0]=-this.words[0],this.negative=1;else for(var b=0;b<this.length&&this.words[b]<0;b++)this.words[b]+=67108864,this.words[b+1]-=1;return this.strip()},f.prototype.addn=function(a){return this.clone().iaddn(a)},f.prototype.subn=function(a){return this.clone().isubn(a)},f.prototype.iabs=function(){return this.negative=0,this},f.prototype.abs=function(){return this.clone().iabs()},f.prototype._ishlnsubmul=function(a,b,c){var e,f=a.length+c;this._expand(f);var g,h=0;for(e=0;e<a.length;e++){g=(0|this.words[e+c])+h;var i=(0|a.words[e])*b;g-=67108863&i,h=(g>>26)-(i/67108864|0),this.words[e+c]=67108863&g}for(;e<this.length-c;e++)g=(0|this.words[e+c])+h,h=g>>26,this.words[e+c]=67108863&g;if(0===h)return this.strip();for(d(h===-1),h=0,e=0;e<this.length;e++)g=-(0|this.words[e])+h,h=g>>26,this.words[e]=67108863&g;return this.negative=1,this.strip()},f.prototype._wordDiv=function(a,b){var c=this.length-a.length,d=this.clone(),e=a,g=0|e.words[e.length-1],h=this._countBits(g);c=26-h,0!==c&&(e=e.ushln(c),d.iushln(c),g=0|e.words[e.length-1]);var i,j=d.length-e.length;if("mod"!==b){i=new f(null),i.length=j+1,i.words=new Array(i.length);for(var k=0;k<i.length;k++)i.words[k]=0}var l=d.clone()._ishlnsubmul(e,1,j);0===l.negative&&(d=l,i&&(i.words[j]=1));for(var m=j-1;m>=0;m--){var n=67108864*(0|d.words[e.length+m])+(0|d.words[e.length+m-1]);for(n=Math.min(n/g|0,67108863),d._ishlnsubmul(e,n,m);0!==d.negative;)n--,d.negative=0,d._ishlnsubmul(e,1,m),d.isZero()||(d.negative^=1);
i&&(i.words[m]=n)}return i&&i.strip(),d.strip(),"div"!==b&&0!==c&&d.iushrn(c),{div:i||null,mod:d}},f.prototype.divmod=function(a,b,c){if(d(!a.isZero()),this.isZero())return{div:new f(0),mod:new f(0)};var e,g,h;return 0!==this.negative&&0===a.negative?(h=this.neg().divmod(a,b),"mod"!==b&&(e=h.div.neg()),"div"!==b&&(g=h.mod.neg(),c&&0!==g.negative&&g.iadd(a)),{div:e,mod:g}):0===this.negative&&0!==a.negative?(h=this.divmod(a.neg(),b),"mod"!==b&&(e=h.div.neg()),{div:e,mod:h.mod}):0!==(this.negative&a.negative)?(h=this.neg().divmod(a.neg(),b),"div"!==b&&(g=h.mod.neg(),c&&0!==g.negative&&g.isub(a)),{div:h.div,mod:g}):a.length>this.length||this.cmp(a)<0?{div:new f(0),mod:this}:1===a.length?"div"===b?{div:this.divn(a.words[0]),mod:null}:"mod"===b?{div:null,mod:new f(this.modn(a.words[0]))}:{div:this.divn(a.words[0]),mod:new f(this.modn(a.words[0]))}:this._wordDiv(a,b)},f.prototype.div=function(a){return this.divmod(a,"div",!1).div},f.prototype.mod=function(a){return this.divmod(a,"mod",!1).mod},f.prototype.umod=function(a){return this.divmod(a,"mod",!0).mod},f.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,d=a.ushrn(1),e=a.andln(1),f=c.cmp(d);return f<0||1===e&&0===f?b.div:0!==b.div.negative?b.div.isubn(1):b.div.iaddn(1)},f.prototype.modn=function(a){d(a<=67108863);for(var b=(1<<26)%a,c=0,e=this.length-1;e>=0;e--)c=(b*c+(0|this.words[e]))%a;return c},f.prototype.idivn=function(a){d(a<=67108863);for(var b=0,c=this.length-1;c>=0;c--){var e=(0|this.words[c])+67108864*b;this.words[c]=e/a|0,b=e%a}return this.strip()},f.prototype.divn=function(a){return this.clone().idivn(a)},f.prototype.egcd=function(a){d(0===a.negative),d(!a.isZero());var b=this,c=a.clone();b=0!==b.negative?b.umod(a):b.clone();for(var e=new f(1),g=new f(0),h=new f(0),i=new f(1),j=0;b.isEven()&&c.isEven();)b.iushrn(1),c.iushrn(1),++j;for(var k=c.clone(),l=b.clone();!b.isZero();){for(var m=0,n=1;0===(b.words[0]&n)&&m<26;++m,n<<=1);if(m>0)for(b.iushrn(m);m-- >0;)(e.isOdd()||g.isOdd())&&(e.iadd(k),g.isub(l)),e.iushrn(1),g.iushrn(1);for(var o=0,p=1;0===(c.words[0]&p)&&o<26;++o,p<<=1);if(o>0)for(c.iushrn(o);o-- >0;)(h.isOdd()||i.isOdd())&&(h.iadd(k),i.isub(l)),h.iushrn(1),i.iushrn(1);b.cmp(c)>=0?(b.isub(c),e.isub(h),g.isub(i)):(c.isub(b),h.isub(e),i.isub(g))}return{a:h,b:i,gcd:c.iushln(j)}},f.prototype._invmp=function(a){d(0===a.negative),d(!a.isZero());var b=this,c=a.clone();b=0!==b.negative?b.umod(a):b.clone();for(var e=new f(1),g=new f(0),h=c.clone();b.cmpn(1)>0&&c.cmpn(1)>0;){for(var i=0,j=1;0===(b.words[0]&j)&&i<26;++i,j<<=1);if(i>0)for(b.iushrn(i);i-- >0;)e.isOdd()&&e.iadd(h),e.iushrn(1);for(var k=0,l=1;0===(c.words[0]&l)&&k<26;++k,l<<=1);if(k>0)for(c.iushrn(k);k-- >0;)g.isOdd()&&g.iadd(h),g.iushrn(1);b.cmp(c)>=0?(b.isub(c),e.isub(g)):(c.isub(b),g.isub(e))}var m;return m=0===b.cmpn(1)?e:g,m.cmpn(0)<0&&m.iadd(a),m},f.prototype.gcd=function(a){if(this.isZero())return a.abs();if(a.isZero())return this.abs();var b=this.clone(),c=a.clone();b.negative=0,c.negative=0;for(var d=0;b.isEven()&&c.isEven();d++)b.iushrn(1),c.iushrn(1);for(;;){for(;b.isEven();)b.iushrn(1);for(;c.isEven();)c.iushrn(1);var e=b.cmp(c);if(e<0){var f=b;b=c,c=f}else if(0===e||0===c.cmpn(1))break;b.isub(c)}return c.iushln(d)},f.prototype.invm=function(a){return this.egcd(a).a.umod(a)},f.prototype.isEven=function(){return 0===(1&this.words[0])},f.prototype.isOdd=function(){return 1===(1&this.words[0])},f.prototype.andln=function(a){return this.words[0]&a},f.prototype.bincn=function(a){d("number"==typeof a);var b=a%26,c=(a-b)/26,e=1<<b;if(this.length<=c)return this._expand(c+1),this.words[c]|=e,this;for(var f=e,g=c;0!==f&&g<this.length;g++){var h=0|this.words[g];h+=f,f=h>>>26,h&=67108863,this.words[g]=h}return 0!==f&&(this.words[g]=f,this.length++),this},f.prototype.isZero=function(){return 1===this.length&&0===this.words[0]},f.prototype.cmpn=function(a){var b=a<0;if(0!==this.negative&&!b)return-1;if(0===this.negative&&b)return 1;this.strip();var c;if(this.length>1)c=1;else{b&&(a=-a),d(a<=67108863,"Number is too big");var e=0|this.words[0];c=e===a?0:e<a?-1:1}return 0!==this.negative?0|-c:c},f.prototype.cmp=function(a){if(0!==this.negative&&0===a.negative)return-1;if(0===this.negative&&0!==a.negative)return 1;var b=this.ucmp(a);return 0!==this.negative?0|-b:b},f.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-1;c>=0;c--){var d=0|this.words[c],e=0|a.words[c];if(d!==e){d<e?b=-1:d>e&&(b=1);break}}return b},f.prototype.gtn=function(a){return 1===this.cmpn(a)},f.prototype.gt=function(a){return 1===this.cmp(a)},f.prototype.gten=function(a){return this.cmpn(a)>=0},f.prototype.gte=function(a){return this.cmp(a)>=0},f.prototype.ltn=function(a){return this.cmpn(a)===-1},f.prototype.lt=function(a){return this.cmp(a)===-1},f.prototype.lten=function(a){return this.cmpn(a)<=0},f.prototype.lte=function(a){return this.cmp(a)<=0},f.prototype.eqn=function(a){return 0===this.cmpn(a)},f.prototype.eq=function(a){return 0===this.cmp(a)},f.red=function(a){return new s(a)},f.prototype.toRed=function(a){return d(!this.red,"Already a number in reduction context"),d(0===this.negative,"red works only with positives"),a.convertTo(this)._forceRed(a)},f.prototype.fromRed=function(){return d(this.red,"fromRed works only with numbers in reduction context"),this.red.convertFrom(this)},f.prototype._forceRed=function(a){return this.red=a,this},f.prototype.forceRed=function(a){return d(!this.red,"Already a number in reduction context"),this._forceRed(a)},f.prototype.redAdd=function(a){return d(this.red,"redAdd works only with red numbers"),this.red.add(this,a)},f.prototype.redIAdd=function(a){return d(this.red,"redIAdd works only with red numbers"),this.red.iadd(this,a)},f.prototype.redSub=function(a){return d(this.red,"redSub works only with red numbers"),this.red.sub(this,a)},f.prototype.redISub=function(a){return d(this.red,"redISub works only with red numbers"),this.red.isub(this,a)},f.prototype.redShl=function(a){return d(this.red,"redShl works only with red numbers"),this.red.shl(this,a)},f.prototype.redMul=function(a){return d(this.red,"redMul works only with red numbers"),this.red._verify2(this,a),this.red.mul(this,a)},f.prototype.redIMul=function(a){return d(this.red,"redMul works only with red numbers"),this.red._verify2(this,a),this.red.imul(this,a)},f.prototype.redSqr=function(){return d(this.red,"redSqr works only with red numbers"),this.red._verify1(this),this.red.sqr(this)},f.prototype.redISqr=function(){return d(this.red,"redISqr works only with red numbers"),this.red._verify1(this),this.red.isqr(this)},f.prototype.redSqrt=function(){return d(this.red,"redSqrt works only with red numbers"),this.red._verify1(this),this.red.sqrt(this)},f.prototype.redInvm=function(){return d(this.red,"redInvm works only with red numbers"),this.red._verify1(this),this.red.invm(this)},f.prototype.redNeg=function(){return d(this.red,"redNeg works only with red numbers"),this.red._verify1(this),this.red.neg(this)},f.prototype.redPow=function(a){return d(this.red&&!a.red,"redPow(normalNum)"),this.red._verify1(this),this.red.pow(this,a)};var A={k256:null,p224:null,p192:null,p25519:null};n.prototype._tmp=function(){var a=new f(null);return a.words=new Array(Math.ceil(this.n/13)),a},n.prototype.ireduce=function(a){var b,c=a;do this.split(c,this.tmp),c=this.imulK(c),c=c.iadd(this.tmp),b=c.bitLength();while(b>this.n);var d=b<this.n?-1:c.ucmp(this.p);return 0===d?(c.words[0]=0,c.length=1):d>0?c.isub(this.p):c.strip(),c},n.prototype.split=function(a,b){a.iushrn(this.n,0,b)},n.prototype.imulK=function(a){return a.imul(this.k)},e(o,n),o.prototype.split=function(a,b){for(var c=4194303,d=Math.min(a.length,9),e=0;e<d;e++)b.words[e]=a.words[e];if(b.length=d,a.length<=9)return a.words[0]=0,void(a.length=1);var f=a.words[9];for(b.words[b.length++]=f&c,e=10;e<a.length;e++){var g=0|a.words[e];a.words[e-10]=(g&c)<<4|f>>>22,f=g}f>>>=22,a.words[e-10]=f,0===f&&a.length>10?a.length-=10:a.length-=9},o.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 d=0|a.words[c];b+=977*d,a.words[c]=67108863&b,b=64*d+(b/67108864|0)}return 0===a.words[a.length-1]&&(a.length--,0===a.words[a.length-1]&&a.length--),a},e(p,n),e(q,n),e(r,n),r.prototype.imulK=function(a){for(var b=0,c=0;c<a.length;c++){var d=19*(0|a.words[c])+b,e=67108863&d;d>>>=26,a.words[c]=e,b=d}return 0!==b&&(a.words[a.length++]=b),a},f._prime=function B(a){if(A[a])return A[a];var B;if("k256"===a)B=new o;else if("p224"===a)B=new p;else if("p192"===a)B=new q;else{if("p25519"!==a)throw new Error("Unknown prime "+a);B=new r}return A[a]=B,B},s.prototype._verify1=function(a){d(0===a.negative,"red works only with positives"),d(a.red,"red works only with red numbers")},s.prototype._verify2=function(a,b){d(0===(a.negative|b.negative),"red works only with positives"),d(a.red&&a.red===b.red,"red works only with red numbers")},s.prototype.imod=function(a){return this.prime?this.prime.ireduce(a)._forceRed(this):a.umod(this.m)._forceRed(this)},s.prototype.neg=function(a){return a.isZero()?a.clone():this.m.sub(a)._forceRed(this)},s.prototype.add=function(a,b){this._verify2(a,b);var c=a.add(b);return c.cmp(this.m)>=0&&c.isub(this.m),c._forceRed(this)},s.prototype.iadd=function(a,b){this._verify2(a,b);var c=a.iadd(b);return c.cmp(this.m)>=0&&c.isub(this.m),c},s.prototype.sub=function(a,b){this._verify2(a,b);var c=a.sub(b);return c.cmpn(0)<0&&c.iadd(this.m),c._forceRed(this)},s.prototype.isub=function(a,b){this._verify2(a,b);var c=a.isub(b);return c.cmpn(0)<0&&c.iadd(this.m),c},s.prototype.shl=function(a,b){return this._verify1(a),this.imod(a.ushln(b))},s.prototype.imul=function(a,b){return this._verify2(a,b),this.imod(a.imul(b))},s.prototype.mul=function(a,b){return this._verify2(a,b),this.imod(a.mul(b))},s.prototype.isqr=function(a){return this.imul(a,a.clone())},s.prototype.sqr=function(a){return this.mul(a,a)},s.prototype.sqrt=function(a){if(a.isZero())return a.clone();var b=this.m.andln(3);if(d(b%2===1),3===b){var c=this.m.add(new f(1)).iushrn(2);return this.pow(a,c)}for(var e=this.m.subn(1),g=0;!e.isZero()&&0===e.andln(1);)g++,e.iushrn(1);d(!e.isZero());var h=new f(1).toRed(this),i=h.redNeg(),j=this.m.subn(1).iushrn(1),k=this.m.bitLength();for(k=new f(2*k*k).toRed(this);0!==this.pow(k,j).cmp(i);)k.redIAdd(i);for(var l=this.pow(k,e),m=this.pow(a,e.addn(1).iushrn(1)),n=this.pow(a,e),o=g;0!==n.cmp(h);){for(var p=n,q=0;0!==p.cmp(h);q++)p=p.redSqr();d(q<o);var r=this.pow(l,new f(1).iushln(o-q-1));m=m.redMul(r),l=r.redSqr(),n=n.redMul(l),o=q}return m},s.prototype.invm=function(a){var b=a._invmp(this.m);return 0!==b.negative?(b.negative=0,this.imod(b).redNeg()):this.imod(b)},s.prototype.pow=function(a,b){if(b.isZero())return new f(1);if(0===b.cmpn(1))return a.clone();var c=4,d=new Array(1<<c);d[0]=new f(1).toRed(this),d[1]=a;for(var e=2;e<d.length;e++)d[e]=this.mul(d[e-1],a);var g=d[0],h=0,i=0,j=b.bitLength()%26;for(0===j&&(j=26),e=b.length-1;e>=0;e--){for(var k=b.words[e],l=j-1;l>=0;l--){var m=k>>l&1;g!==d[0]&&(g=this.sqr(g)),0!==m||0!==h?(h<<=1,h|=m,i++,(i===c||0===e&&0===l)&&(g=this.mul(g,d[h]),i=0,h=0)):i=0}j=26}return g},s.prototype.convertTo=function(a){var b=a.umod(this.m);return b===a?b.clone():b},s.prototype.convertFrom=function(a){var b=a.clone();return b.red=null,b},f.mont=function(a){return new t(a)},e(t,s),t.prototype.convertTo=function(a){return this.imod(a.ushln(this.shift))},t.prototype.convertFrom=function(a){var b=this.imod(a.mul(this.rinv));return b.red=null,b},t.prototype.imul=function(a,b){if(a.isZero()||b.isZero())return a.words[0]=0,a.length=1,a;var 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