!function(e){if("object"==typeof exports&&"undefined"!=typeof module)module.exports=e();else if("function"==typeof define&&define.amd)define([],e);else{var t;t="undefined"!=typeof window?window:"undefined"!=typeof global?global:"undefined"!=typeof self?self:this,t.ellipticjs=e()}}(function(){return function e(t,r,d){function i(n,a){if(!r[n]){if(!t[n]){var s="function"==typeof require&&require;if(!a&&s)return s(n,!0);if(f)return f(n,!0);var c=new Error("Cannot find module '"+n+"'");throw c.code="MODULE_NOT_FOUND",c}var h=r[n]={exports:{}};t[n][0].call(h.exports,function(e){var r=t[n][1][e];return i(r?r:e)},h,h.exports,e,t,r,d)}return r[n].exports}for(var f="function"==typeof require&&require,n=0;n<d.length;n++)i(d[n]);return i}({1:[function(e,t,r){"use strict";var d=r;d.version=e("../package.json").version,d.utils=e("./elliptic/utils"),d.rand=e("brorand"),d.hmacDRBG=e("./elliptic/hmac-drbg"),d.curve=e("./elliptic/curve"),d.curves=e("./elliptic/curves"),d.ec=e("./elliptic/ec")},{"../package.json":23,"./elliptic/curve":4,"./elliptic/curves":7,"./elliptic/ec":8,"./elliptic/hmac-drbg":11,"./elliptic/utils":13,brorand:15}],2:[function(e,t){"use strict";function r(e,t){this.type=e,this.p=new i(t.p,16),this.red=t.prime?i.red(t.prime):i.mont(this.p),this.zero=new i(0).toRed(this.red),this.one=new i(1).toRed(this.red),this.two=new i(2).toRed(this.red),this.n=t.n&&new i(t.n,16),this.g=t.g&&this.pointFromJSON(t.g,t.gRed),this._wnafT1=new Array(4),this._wnafT2=new Array(4),this._wnafT3=new Array(4),this._wnafT4=new Array(4)}function d(e,t){this.curve=e,this.type=t,this.precomputed=null}var i=e("bn.js"),f=e("../../elliptic"),n=f.utils.getNAF,a=f.utils.getJSF,s=f.utils.assert;t.exports=r,r.prototype.point=function(){throw new Error("Not implemented")},r.prototype.validate=function(){throw new Error("Not implemented")},r.prototype._fixedNafMul=function(e,t){var r=e._getDoubles(),d=n(t,1),i=(1<<r.step+1)-(r.step%2===0?2:1);i/=3;for(var f=[],a=0;a<d.length;a+=r.step){for(var s=0,t=a+r.step-1;t>=a;t--)s=(s<<1)+d[t];f.push(s)}for(var c=this.jpoint(null,null,null),h=this.jpoint(null,null,null),o=i;o>0;o--){for(var a=0;a<f.length;a++){var s=f[a];s===o?h=h.mixedAdd(r.points[a]):s===-o&&(h=h.mixedAdd(r.points[a].neg()))}c=c.add(h)}return c.toP()},r.prototype._wnafMul=function(e,t){var r=4,d=e._getNAFPoints(r);r=d.wnd;for(var i=d.points,f=n(t,r),a=this.jpoint(null,null,null),c=f.length-1;c>=0;c--){for(var t=0;c>=0&&0===f[c];c--)t++;if(c>=0&&t++,a=a.dblp(t),0>c)break;var h=f[c];s(0!==h),a="affine"===e.type?a.mixedAdd(h>0?i[h-1>>1]:i[-h-1>>1].neg()):a.add(h>0?i[h-1>>1]:i[-h-1>>1].neg())}return"affine"===e.type?a.toP():a},r.prototype._wnafMulAdd=function(e,t,r,d){for(var i=this._wnafT1,f=this._wnafT2,s=this._wnafT3,c=0,h=0;d>h;h++){var o=t[h],b=o._getNAFPoints(e);i[h]=b.wnd,f[h]=b.points}for(var h=d-1;h>=1;h-=2){var u=h-1,p=h;if(1===i[u]&&1===i[p]){var l=[t[u],null,null,t[p]];0===t[u].y.cmp(t[p].y)?(l[1]=t[u].add(t[p]),l[2]=t[u].toJ().mixedAdd(t[p].neg())):0===t[u].y.cmp(t[p].y.redNeg())?(l[1]=t[u].toJ().mixedAdd(t[p]),l[2]=t[u].add(t[p].neg())):(l[1]=t[u].toJ().mixedAdd(t[p]),l[2]=t[u].toJ().mixedAdd(t[p].neg()));var v=[-3,-1,-5,-7,0,7,5,1,3],g=a(r[u],r[p]);c=Math.max(g[0].length,c),s[u]=new Array(c),s[p]=new Array(c);for(var m=0;c>m;m++){var y=0|g[0][m],w=0|g[1][m];s[u][m]=v[3*(y+1)+(w+1)],s[p][m]=0,f[u]=l}}else s[u]=n(r[u],i[u]),s[p]=n(r[p],i[p]),c=Math.max(s[u].length,c),c=Math.max(s[p].length,c)}for(var S=this.jpoint(null,null,null),_=this._wnafT4,h=c;h>=0;h--){for(var A=0;h>=0;){for(var x=!0,m=0;d>m;m++)_[m]=0|s[m][h],0!==_[m]&&(x=!1);if(!x)break;A++,h--}if(h>=0&&A++,S=S.dblp(A),0>h)break;for(var m=0;d>m;m++){var o,M=_[m];0!==M&&(M>0?o=f[m][M-1>>1]:0>M&&(o=f[m][-M-1>>1].neg()),S="affine"===o.type?S.mixedAdd(o):S.add(o))}}for(var h=0;d>h;h++)f[h]=null;return S.toP()},r.BasePoint=d,d.prototype.validate=function(){return this.curve.validate(this)},d.prototype.precompute=function(e){if(this.precomputed)return this;var t={doubles:null,naf:null,beta:null};return t.naf=this._getNAFPoints(8),t.doubles=this._getDoubles(4,e),t.beta=this._getBeta(),this.precomputed=t,this},d.prototype._getDoubles=function(e,t){if(this.precomputed&&this.precomputed.doubles)return this.precomputed.doubles;for(var r=[this],d=this,i=0;t>i;i+=e){for(var f=0;e>f;f++)d=d.dbl();r.push(d)}return{step:e,points:r}},d.prototype._getNAFPoints=function(e){if(this.precomputed&&this.precomputed.naf)return this.precomputed.naf;for(var t=[this],r=(1<<e)-1,d=1===r?null:this.dbl(),i=1;r>i;i++)t[i]=t[i-1].add(d);return{wnd:e,points:t}},d.prototype._getBeta=function(){return null},d.prototype.dblp=function(e){for(var t=this,r=0;e>r;r++)t=t.dbl();return t}},{"../../elliptic":1,"bn.js":14}],3:[function(e,t){"use strict";function r(e){this.twisted=1!==(0|e.a),this.mOneA=this.twisted&&-1===(0|e.a),this.extended=this.mOneA,s.call(this,"edwards",e),this.a=new n(e.a,16).mod(this.red.m).toRed(this.red),this.c=new n(e.c,16).toRed(this.red),this.c2=this.c.redSqr(),this.d=new n(e.d,16).toRed(this.red),this.dd=this.d.redAdd(this.d),c(!this.twisted||0===this.c.fromRed().cmpn(1)),this.oneC=1===(0|e.c)}function d(e,t,r,d,i){s.BasePoint.call(this,e,"projective"),null===t&&null===r&&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 n(t,16),this.y=new n(r,16),this.z=d?new n(d,16):this.curve.one,this.t=i&&new n(i,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 i=e("../curve"),f=e("../../elliptic"),n=e("bn.js"),a=e("inherits"),s=i.base,c=f.utils.assert;a(r,s),t.exports=r,r.prototype._mulA=function(e){return this.mOneA?e.redNeg():this.a.redMul(e)},r.prototype._mulC=function(e){return this.oneC?e:this.c.redMul(e)},r.prototype.jpoint=function(e,t,r,d){return this.point(e,t,r,d)},r.prototype.pointFromX=function(e,t){t=new n(t,16),t.red||(t=t.toRed(this.red));var r=t.redSqr(),d=this.c2.redSub(this.a.redMul(r)),f=this.one.redSub(this.c2.redMul(this.d).redMul(r)),a=d.redMul(f.redInvm()).redSqrt(),s=a.fromRed().isOdd();return(e&&!s||!e&&s)&&(a=a.redNeg()),this.point(t,a,i.one)},r.prototype.validate=function(e){if(e.isInfinity())return!0;e.normalize();var t=e.x.redSqr(),r=e.y.redSqr(),d=t.redMul(this.a).redAdd(r),i=this.c2.redMul(this.one.redAdd(this.d.redMul(t).redMul(r)));return 0===d.cmp(i)},a(d,s.BasePoint),r.prototype.pointFromJSON=function(e){return d.fromJSON(this,e)},r.prototype.point=function(e,t,r,i){return new d(this,e,t,r,i)},d.fromJSON=function(e,t){return new d(e,t[0],t[1],t[2])},d.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)+">"},d.prototype.isInfinity=function(){return 0===this.x.cmpn(0)&&0===this.y.cmp(this.z)},d.prototype._extDbl=function(){var e=this.x.redSqr(),t=this.y.redSqr(),r=this.z.redSqr();r=r.redIAdd(r);var d=this.curve._mulA(e),i=this.x.redAdd(this.y).redSqr().redISub(e).redISub(t),f=d.redAdd(t),n=f.redSub(r),a=d.redSub(t),s=i.redMul(n),c=f.redMul(a),h=i.redMul(a),o=n.redMul(f);return this.curve.point(s,c,o,h)},d.prototype._projDbl=function(){var e,t,r,d=this.x.redAdd(this.y).redSqr(),i=this.x.redSqr(),f=this.y.redSqr();if(this.curve.twisted){var n=this.curve._mulA(i),a=n.redAdd(f);if(this.zOne)e=d.redSub(i).redSub(f).redMul(a.redSub(this.curve.two)),t=a.redMul(n.redSub(f)),r=a.redSqr().redSub(a).redSub(a);else{var s=this.z.redSqr(),c=a.redSub(s).redISub(s);e=d.redSub(i).redISub(f).redMul(c),t=a.redMul(n.redSub(f)),r=a.redMul(c)}}else{var n=i.redAdd(f),s=this.curve._mulC(this.c.redMul(this.z)).redSqr(),c=n.redSub(s).redSub(s);e=this.curve._mulC(d.redISub(n)).redMul(c),t=this.curve._mulC(n).redMul(i.redISub(f)),r=n.redMul(c)}return this.curve.point(e,t,r)},d.prototype.dbl=function(){return this.isInfinity()?this:this.curve.extended?this._extDbl():this._projDbl()},d.prototype._extAdd=function(e){var t=this.y.redSub(this.x).redMul(e.y.redSub(e.x)),r=this.y.redAdd(this.x).redMul(e.y.redAdd(e.x)),d=this.t.redMul(this.curve.dd).redMul(e.t),i=this.z.redMul(e.z.redAdd(e.z)),f=r.redSub(t),n=i.redSub(d),a=i.redAdd(d),s=r.redAdd(t),c=f.redMul(n),h=a.redMul(s),o=f.redMul(s),b=n.redMul(a);return this.curve.point(c,h,b,o)},d.prototype._projAdd=function(e){var t,r,d=this.z.redMul(e.z),i=d.redSqr(),f=this.x.redMul(e.x),n=this.y.redMul(e.y),a=this.curve.d.redMul(f).redMul(n),s=i.redSub(a),c=i.redAdd(a),h=this.x.redAdd(this.y).redMul(e.x.redAdd(e.y)).redISub(f).redISub(n),o=d.redMul(s).redMul(h);return this.curve.twisted?(t=d.redMul(c).redMul(n.redSub(this.curve._mulA(f))),r=s.redMul(c)):(t=d.redMul(c).redMul(n.redSub(f)),r=this.curve._mulC(s).redMul(c)),this.curve.point(o,t,r)},d.prototype.add=function(e){return this.isInfinity()?e:e.isInfinity()?this:this.curve.extended?this._extAdd(e):this._projAdd(e)},d.prototype.mul=function(e){return this.precomputed&&this.precomputed.doubles?this.curve._fixedNafMul(this,e):this.curve._wnafMul(this,e)},d.prototype.mulAdd=function(e,t,r){return this.curve._wnafMulAdd(1,[this,t],[e,r],2)},d.prototype.normalize=function(){if(this.zOne)return this;var e=this.z.redInvm();return this.x=this.x.redMul(e),this.y=this.y.redMul(e),this.t&&(this.t=this.t.redMul(e)),this.z=this.curve.one,this.zOne=!0,this},d.prototype.neg=function(){return this.curve.point(this.x.redNeg(),this.y,this.z,this.t&&this.t.redNeg())},d.prototype.getX=function(){return this.normalize(),this.x.fromRed()},d.prototype.getY=function(){return this.normalize(),this.y.fromRed()},d.prototype.toP=d.prototype.normalize,d.prototype.mixedAdd=d.prototype.add},{"../../elliptic":1,"../curve":4,"bn.js":14,inherits:22}],4:[function(e,t,r){"use strict";var d=r;d.base=e("./base"),d["short"]=e("./short"),d.mont=e("./mont"),d.edwards=e("./edwards")},{"./base":2,"./edwards":3,"./mont":5,"./short":6}],5:[function(e,t){"use strict";function r(e){a.call(this,"mont",e),this.a=new f(e.a,16).toRed(this.red),this.b=new f(e.b,16).toRed(this.red),this.i4=new f(4).toRed(this.red).redInvm(),this.two=new f(2).toRed(this.red),this.a24=this.i4.redMul(this.a.redAdd(this.two))}function d(e,t,r){a.BasePoint.call(this,e,"projective"),null===t&&null===r?(this.x=this.curve.one,this.z=this.curve.zero):(this.x=new f(t,16),this.z=new f(r,16),this.x.red||(this.x=this.x.toRed(this.curve.red)),this.z.red||(this.z=this.z.toRed(this.curve.red)))}var i=e("../curve"),f=e("bn.js"),n=e("inherits"),a=i.base;n(r,a),t.exports=r,r.prototype.validate=function(e){var t=e.normalize().x,r=t.redSqr(),d=r.redMul(t).redAdd(r.redMul(this.a)).redAdd(t),i=d.redSqrt();return 0===i.redSqr().cmp(d)},n(d,a.BasePoint),r.prototype.point=function(e,t){return new d(this,e,t)},r.prototype.pointFromJSON=function(e){return d.fromJSON(this,e)},d.prototype.precompute=function(){},d.fromJSON=function(e,t){return new d(e,t[0],t[1]||e.one)},d.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)+">"},d.prototype.isInfinity=function(){return 0===this.z.cmpn(0)},d.prototype.dbl=function(){var e=this.x.redAdd(this.z),t=e.redSqr(),r=this.x.redSub(this.z),d=r.redSqr(),i=t.redSub(d),f=t.redMul(d),n=i.redMul(d.redAdd(this.curve.a24.redMul(i)));return this.curve.point(f,n)},d.prototype.add=function(){throw new Error("Not supported on Montgomery curve")},d.prototype.diffAdd=function(e,t){var r=this.x.redAdd(this.z),d=this.x.redSub(this.z),i=e.x.redAdd(e.z),f=e.x.redSub(e.z),n=f.redMul(r),a=i.redMul(d),s=t.z.redMul(n.redAdd(a).redSqr()),c=t.x.redMul(n.redISub(a).redSqr());return this.curve.point(s,c)},d.prototype.mul=function(e){for(var t=e.clone(),r=this,d=this.curve.point(null,null),i=this,f=[];0!==t.cmpn(0);t.ishrn(1))f.push(t.andln(1));for(var n=f.length-1;n>=0;n--)0===f[n]?(r=r.diffAdd(d,i),d=d.dbl()):(d=r.diffAdd(d,i),r=r.dbl());return d},d.prototype.mulAdd=function(){throw new Error("Not supported on Montgomery curve")},d.prototype.normalize=function(){return this.x=this.x.redMul(this.z.redInvm()),this.z=this.curve.one,this},d.prototype.getX=function(){return this.normalize(),this.x.fromRed()}},{"../curve":4,"bn.js":14,inherits:22}],6:[function(e,t){"use strict";function r(e){c.call(this,"short",e),this.a=new a(e.a,16).toRed(this.red),this.b=new a(e.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(e),this._endoWnafT1=new Array(4),this._endoWnafT2=new Array(4)}function d(e,t,r,d){c.BasePoint.call(this,e,"affine"),null===t&&null===r?(this.x=null,this.y=null,this.inf=!0):(this.x=new a(t,16),this.y=new a(r,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 i(e,t,r,d){c.BasePoint.call(this,e,"jacobian"),null===t&&null===r&&null===d?(this.x=this.curve.one,this.y=this.curve.one,this.z=new a(0)):(this.x=new a(t,16),this.y=new a(r,16),this.z=new a(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 f=e("../curve"),n=e("../../elliptic"),a=e("bn.js"),s=e("inherits"),c=f.base,h=n.utils.assert;s(r,c),t.exports=r,r.prototype._getEndomorphism=function(e){if(this.zeroA&&this.g&&this.n&&1===this.p.modn(3)){var t,r;if(e.beta)t=new a(e.beta,16).toRed(this.red);else{var d=this._getEndoRoots(this.p);t=d[0].cmp(d[1])<0?d[0]:d[1],t=t.toRed(this.red)}if(e.lambda)r=new a(e.lambda,16);else{var i=this._getEndoRoots(this.n);0===this.g.mul(i[0]).x.cmp(this.g.x.redMul(t))?r=i[0]:(r=i[1],h(0===this.g.mul(r).x.cmp(this.g.x.redMul(t))))}var f;return f=e.basis?e.basis.map(function(e){return{a:new a(e.a,16),b:new a(e.b,16)}}):this._getEndoBasis(r),{beta:t,lambda:r,basis:f}}},r.prototype._getEndoRoots=function(e){var t=e===this.p?this.red:a.mont(e),r=new a(2).toRed(t).redInvm(),d=r.redNeg(),i=new a(3).toRed(t).redNeg().redSqrt().redMul(r),f=d.redAdd(i).fromRed(),n=d.redSub(i).fromRed();return[f,n]},r.prototype._getEndoBasis=function(e){for(var t,r,d,i,f,n,s,c,h,o=this.n.shrn(Math.floor(this.n.bitLength()/2)),b=e,u=this.n.clone(),p=new a(1),l=new a(0),v=new a(0),g=new a(1),m=0;0!==b.cmpn(0);){var y=u.div(b);c=u.sub(y.mul(b)),h=v.sub(y.mul(p));var w=g.sub(y.mul(l));if(!d&&c.cmp(o)<0)t=s.neg(),r=p,d=c.neg(),i=h;else if(d&&2===++m)break;s=c,u=b,b=c,v=p,p=h,g=l,l=w}f=c.neg(),n=h;var S=d.sqr().add(i.sqr()),_=f.sqr().add(n.sqr());return _.cmp(S)>=0&&(f=t,n=r),d.sign&&(d=d.neg(),i=i.neg()),f.sign&&(f=f.neg(),n=n.neg()),[{a:d,b:i},{a:f,b:n}]},r.prototype._endoSplit=function(e){var t=this.endo.basis,r=t[0],d=t[1],i=d.b.mul(e).divRound(this.n),f=r.b.neg().mul(e).divRound(this.n),n=i.mul(r.a),a=f.mul(d.a),s=i.mul(r.b),c=f.mul(d.b),h=e.sub(n).sub(a),o=s.add(c).neg();return{k1:h,k2:o}},r.prototype.pointFromX=function(e,t){t=new a(t,16),t.red||(t=t.toRed(this.red));var r=t.redSqr().redMul(t).redIAdd(t.redMul(this.a)).redIAdd(this.b),d=r.redSqrt(),i=d.fromRed().isOdd();return(e&&!i||!e&&i)&&(d=d.redNeg()),this.point(t,d)},r.prototype.validate=function(e){if(e.inf)return!0;var t=e.x,r=e.y,d=this.a.redMul(t),i=t.redSqr().redMul(t).redIAdd(d).redIAdd(this.b);return 0===r.redSqr().redISub(i).cmpn(0)},r.prototype._endoWnafMulAdd=function(e,t){for(var r=this._endoWnafT1,d=this._endoWnafT2,i=0;i<e.length;i++){var f=this._endoSplit(t[i]),n=e[i],a=n._getBeta();f.k1.sign&&(f.k1.sign=!f.k1.sign,n=n.neg(!0)),f.k2.sign&&(f.k2.sign=!f.k2.sign,a=a.neg(!0)),r[2*i]=n,r[2*i+1]=a,d[2*i]=f.k1,d[2*i+1]=f.k2}for(var s=this._wnafMulAdd(1,r,d,2*i),c=0;2*i>c;c++)r[c]=null,d[c]=null;return s},s(d,c.BasePoint),r.prototype.point=function(e,t,r){return new d(this,e,t,r)},r.prototype.pointFromJSON=function(e,t){return d.fromJSON(this,e,t)},d.prototype._getBeta=function(){if(this.curve.endo){var e=this.precomputed;if(e&&e.beta)return e.beta;var t=this.curve.point(this.x.redMul(this.curve.endo.beta),this.y);if(e){var r=this.curve,d=function(e){return r.point(e.x.redMul(r.endo.beta),e.y)};e.beta=t,t.precomputed={beta:null,naf:e.naf&&{wnd:e.naf.wnd,points:e.naf.points.map(d)},doubles:e.doubles&&{step:e.doubles.step,points:e.doubles.points.map(d)}}}return t}},d.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]},d.fromJSON=function(e,t,r){function d(t){return e.point(t[0],t[1],r)}"string"==typeof t&&(t=JSON.parse(t));var i=e.point(t[0],t[1],r);if(!t[2])return i;var f=t[2];return i.precomputed={beta:null,doubles:f.doubles&&{step:f.doubles.step,points:[i].concat(f.doubles.points.map(d))},naf:f.naf&&{wnd:f.naf.wnd,points:[i].concat(f.naf.points.map(d))}},i},d.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)+">"},d.prototype.isInfinity=function(){return this.inf},d.prototype.add=function(e){if(this.inf)return e;if(e.inf)return this;if(this.eq(e))return this.dbl();if(this.neg().eq(e))return this.curve.point(null,null);if(0===this.x.cmp(e.x))return this.curve.point(null,null);var t=this.y.redSub(e.y);0!==t.cmpn(0)&&(t=t.redMul(this.x.redSub(e.x).redInvm()));var r=t.redSqr().redISub(this.x).redISub(e.x),d=t.redMul(this.x.redSub(r)).redISub(this.y);return this.curve.point(r,d)},d.prototype.dbl=function(){if(this.inf)return this;var e=this.y.redAdd(this.y);if(0===e.cmpn(0))return this.curve.point(null,null);var t=this.curve.a,r=this.x.redSqr(),d=e.redInvm(),i=r.redAdd(r).redIAdd(r).redIAdd(t).redMul(d),f=i.redSqr().redISub(this.x.redAdd(this.x)),n=i.redMul(this.x.redSub(f)).redISub(this.y);return this.curve.point(f,n)},d.prototype.getX=function(){return this.x.fromRed()},d.prototype.getY=function(){return this.y.fromRed()},d.prototype.mul=function(e){return e=new a(e,16),this.precomputed&&this.precomputed.doubles?this.curve._fixedNafMul(this,e):this.curve.endo?this.curve._endoWnafMulAdd([this],[e]):this.curve._wnafMul(this,e)},d.prototype.mulAdd=function(e,t,r){var d=[this,t],i=[e,r];return this.curve.endo?this.curve._endoWnafMulAdd(d,i):this.curve._wnafMulAdd(1,d,i,2)},d.prototype.eq=function(e){return this===e||this.inf===e.inf&&(this.inf||0===this.x.cmp(e.x)&&0===this.y.cmp(e.y))},d.prototype.neg=function(e){if(this.inf)return this;var t=this.curve.point(this.x,this.y.redNeg());if(e&&this.precomputed){var r=this.precomputed,d=function(e){return e.neg()};t.precomputed={naf:r.naf&&{wnd:r.naf.wnd,points:r.naf.points.map(d)},doubles:r.doubles&&{step:r.doubles.step,points:r.doubles.points.map(d)}}}return t},d.prototype.toJ=function(){if(this.inf)return this.curve.jpoint(null,null,null);var e=this.curve.jpoint(this.x,this.y,this.curve.one);return e},s(i,c.BasePoint),r.prototype.jpoint=function(e,t,r){return new i(this,e,t,r)},i.prototype.toP=function(){if(this.isInfinity())return this.curve.point(null,null);var e=this.z.redInvm(),t=e.redSqr(),r=this.x.redMul(t),d=this.y.redMul(t).redMul(e);return this.curve.point(r,d)},i.prototype.neg=function(){return this.curve.jpoint(this.x,this.y.redNeg(),this.z)},i.prototype.add=function(e){if(this.isInfinity())return e;if(e.isInfinity())return this;var t=e.z.redSqr(),r=this.z.redSqr(),d=this.x.redMul(t),i=e.x.redMul(r),f=this.y.redMul(t.redMul(e.z)),n=e.y.redMul(r.redMul(this.z)),a=d.redSub(i),s=f.redSub(n);if(0===a.cmpn(0))return 0!==s.cmpn(0)?this.curve.jpoint(null,null,null):this.dbl();var c=a.redSqr(),h=c.redMul(a),o=d.redMul(c),b=s.redSqr().redIAdd(h).redISub(o).redISub(o),u=s.redMul(o.redISub(b)).redISub(f.redMul(h)),p=this.z.redMul(e.z).redMul(a);return this.curve.jpoint(b,u,p)},i.prototype.mixedAdd=function(e){if(this.isInfinity())return e.toJ();if(e.isInfinity())return this;var t=this.z.redSqr(),r=this.x,d=e.x.redMul(t),i=this.y,f=e.y.redMul(t).redMul(this.z),n=r.redSub(d),a=i.redSub(f);if(0===n.cmpn(0))return 0!==a.cmpn(0)?this.curve.jpoint(null,null,null):this.dbl();var s=n.redSqr(),c=s.redMul(n),h=r.redMul(s),o=a.redSqr().redIAdd(c).redISub(h).redISub(h),b=a.redMul(h.redISub(o)).redISub(i.redMul(c)),u=this.z.redMul(n);return this.curve.jpoint(o,b,u)},i.prototype.dblp=function(e){if(0===e)return this;if(this.isInfinity())return this;if(!e)return this.dbl();if(this.curve.zeroA||this.curve.threeA){for(var t=this,r=0;e>r;r++)t=t.dbl();return t}for(var d=this.curve.a,i=this.curve.tinv,f=this.x,n=this.y,a=this.z,s=a.redSqr().redSqr(),c=n.redAdd(n),r=0;e>r;r++){var h=f.redSqr(),o=c.redSqr(),b=o.redSqr(),u=h.redAdd(h).redIAdd(h).redIAdd(d.redMul(s)),p=f.redMul(o),l=u.redSqr().redISub(p.redAdd(p)),v=p.redISub(l),g=u.redMul(v);g=g.redIAdd(g).redISub(b);var m=c.redMul(a);e>r+1&&(s=s.redMul(b)),f=l,a=m,c=g}return this.curve.jpoint(f,c.redMul(i),a)},i.prototype.dbl=function(){return this.isInfinity()?this:this.curve.zeroA?this._zeroDbl():this.curve.threeA?this._threeDbl():this._dbl()},i.prototype._zeroDbl=function(){var e,t,r;if(this.zOne){var d=this.x.redSqr(),i=this.y.redSqr(),f=i.redSqr(),n=this.x.redAdd(i).redSqr().redISub(d).redISub(f);n=n.redIAdd(n);var a=d.redAdd(d).redIAdd(d),s=a.redSqr().redISub(n).redISub(n),c=f.redIAdd(f);c=c.redIAdd(c),c=c.redIAdd(c),e=s,t=a.redMul(n.redISub(s)).redISub(c),r=this.y.redAdd(this.y)}else{var h=this.x.redSqr(),o=this.y.redSqr(),b=o.redSqr(),u=this.x.redAdd(o).redSqr().redISub(h).redISub(b);u=u.redIAdd(u);var p=h.redAdd(h).redIAdd(h),l=p.redSqr(),v=b.redIAdd(b);v=v.redIAdd(v),v=v.redIAdd(v),e=l.redISub(u).redISub(u),t=p.redMul(u.redISub(e)).redISub(v),r=this.y.redMul(this.z),r=r.redIAdd(r)}return this.curve.jpoint(e,t,r)},i.prototype._threeDbl=function(){var e,t,r;if(this.zOne){var d=this.x.redSqr(),i=this.y.redSqr(),f=i.redSqr(),n=this.x.redAdd(i).redSqr().redISub(d).redISub(f);n=n.redIAdd(n);var a=d.redAdd(d).redIAdd(d).redIAdd(this.curve.a),s=a.redSqr().redISub(n).redISub(n);e=s;var c=f.redIAdd(f);c=c.redIAdd(c),c=c.redIAdd(c),t=a.redMul(n.redISub(s)).redISub(c),r=this.y.redAdd(this.y)}else{var h=this.z.redSqr(),o=this.y.redSqr(),b=this.x.redMul(o),u=this.x.redSub(h).redMul(this.x.redAdd(h));u=u.redAdd(u).redIAdd(u);var p=b.redIAdd(b);p=p.redIAdd(p);var l=p.redAdd(p);e=u.redSqr().redISub(l),r=this.y.redAdd(this.z).redSqr().redISub(o).redISub(h);var v=o.redSqr();v=v.redIAdd(v),v=v.redIAdd(v),v=v.redIAdd(v),t=u.redMul(p.redISub(e)).redISub(v)}return this.curve.jpoint(e,t,r)},i.prototype._dbl=function(){var e=this.curve.a,t=this.x,r=this.y,d=this.z,i=d.redSqr().redSqr(),f=t.redSqr(),n=r.redSqr(),a=f.redAdd(f).redIAdd(f).redIAdd(e.redMul(i)),s=t.redAdd(t);s=s.redIAdd(s);var c=s.redMul(n),h=a.redSqr().redISub(c.redAdd(c)),o=c.redISub(h),b=n.redSqr();b=b.redIAdd(b),b=b.redIAdd(b),b=b.redIAdd(b);var u=a.redMul(o).redISub(b),p=r.redAdd(r).redMul(d);return this.curve.jpoint(h,u,p)},i.prototype.trpl=function(){if(!this.curve.zeroA)return this.dbl().add(this);var e=this.x.redSqr(),t=this.y.redSqr(),r=this.z.redSqr(),d=t.redSqr(),i=e.redAdd(e).redIAdd(e),f=i.redSqr(),n=this.x.redAdd(t).redSqr().redISub(e).redISub(d);n=n.redIAdd(n),n=n.redAdd(n).redIAdd(n),n=n.redISub(f);var a=n.redSqr(),s=d.redIAdd(d);s=s.redIAdd(s),s=s.redIAdd(s),s=s.redIAdd(s);var c=i.redIAdd(n).redSqr().redISub(f).redISub(a).redISub(s),h=t.redMul(c);h=h.redIAdd(h),h=h.redIAdd(h);var o=this.x.redMul(a).redISub(h);o=o.redIAdd(o),o=o.redIAdd(o);var b=this.y.redMul(c.redMul(s.redISub(c)).redISub(n.redMul(a)));b=b.redIAdd(b),b=b.redIAdd(b),b=b.redIAdd(b);var u=this.z.redAdd(n).redSqr().redISub(r).redISub(a);return this.curve.jpoint(o,b,u)},i.prototype.mul=function(e,t){return e=new a(e,t),this.curve._wnafMul(this,e)},i.prototype.eq=function(e){if("affine"===e.type)return this.eq(e.toJ());if(this===e)return!0;var t=this.z.redSqr(),r=e.z.redSqr();if(0!==this.x.redMul(r).redISub(e.x.redMul(t)).cmpn(0))return!1;var d=t.redMul(this.z),i=r.redMul(e.z);return 0===this.y.redMul(i).redISub(e.y.redMul(d)).cmpn(0)},i.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)+">"},i.prototype.isInfinity=function(){return 0===this.z.cmpn(0)}},{"../../elliptic":1,"../curve":4,"bn.js":14,inherits:22}],7:[function(e,t,r){"use strict";function d(e){this.curve="short"===e.type?new a.curve["short"](e):"edwards"===e.type?new a.curve.edwards(e):new a.curve.mont(e),this.g=this.curve.g,this.n=this.curve.n,this.hash=e.hash,s(this.g.validate(),"Invalid curve"),s(this.g.mul(this.n).isInfinity(),"Invalid curve, G*N != O")}function i(e,t){Object.defineProperty(f,e,{configurable:!0,enumerable:!0,get:function(){var r=new d(t);return Object.defineProperty(f,e,{configurable:!0,enumerable:!0,value:r}),r}})}var f=r,n=e("hash.js"),a=e("../elliptic"),s=a.utils.assert;f.PresetCurve=d,i("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:n.sha256,gRed:!1,g:["188da80e b03090f6 7cbf20eb 43a18800 f4ff0afd 82ff1012","07192b95 ffc8da78 631011ed 6b24cdd5 73f977a1 1e794811"]}),i("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:n.sha256,gRed:!1,g:["b70e0cbd 6bb4bf7f 321390b9 4a03c1d3 56c21122 343280d6 115c1d21","bd376388 b5f723fb 4c22dfe6 cd4375a0 5a074764 44d58199 85007e34"]}),i("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:n.sha256,gRed:!1,g:["6b17d1f2 e12c4247 f8bce6e5 63a440f2 77037d81 2deb33a0 f4a13945 d898c296","4fe342e2 fe1a7f9b 8ee7eb4a 7c0f9e16 2bce3357 6b315ece cbb64068 37bf51f5"]}),i("curve25519",{type:"mont",prime:"p25519",p:"7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed",a:"76d06",b:"0",n:"1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed",hash:n.sha256,gRed:!1,g:["9"]}),i("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:n.sha256,gRed:!1,g:["216936d3cd6e53fec0a4e231fdd6dc5c692cc7609525a7b2c9562d608f25d51a","6666666666666666666666666666666666666666666666666666666666666658"]});var c;try{c=e("./precomputed/secp256k1")}catch(h){c=void 0}i("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:n.sha256,beta:"7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee",lambda:"5363ad4cc05c30e0a5261c028812645a122e22ea20816678df02967c1b23bd72",basis:[{a:"3086d221a7d46bcde86c90e49284eb15",b:"-e4437ed6010e88286f547fa90abfe4c3"},{a:"114ca50f7a8e2f3f657c1108d9d44cfd8",b:"3086d221a7d46bcde86c90e49284eb15"}],gRed:!1,g:["79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798","483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8",c]})},{"../elliptic":1,"./precomputed/secp256k1":12,"hash.js":16}],8:[function(e,t){"use strict";function r(e){return this instanceof r?("string"==typeof e&&(n(i.curves.hasOwnProperty(e),"Unknown curve "+e),e=i.curves[e]),e instanceof i.curves.PresetCurve&&(e={curve:e}),this.curve=e.curve.curve,this.n=this.curve.n,this.nh=this.n.shrn(1),this.g=this.curve.g,this.g=e.curve.g,this.g.precompute(e.curve.n.bitLength()+1),void(this.hash=e.hash||e.curve.hash)):new r(e)}var d=e("bn.js"),i=e("../../elliptic"),f=i.utils,n=f.assert,a=e("./key"),s=e("./signature");t.exports=r,r.prototype.keyPair=function(e){return new a(this,e)},r.prototype.keyFromPrivate=function(e,t){return a.fromPrivate(this,e,t)},r.prototype.keyFromPublic=function(e,t){return a.fromPublic(this,e,t)},r.prototype.genKeyPair=function(e){e||(e={});for(var t=new i.hmacDRBG({hash:this.hash,pers:e.pers,entropy:e.entropy||i.rand(this.hash.hmacStrength),nonce:this.n.toArray()}),r=this.n.byteLength(),f=this.n.sub(new d(2));;){var n=new d(t.generate(r));if(!(n.cmp(f)>0))return n.iaddn(1),this.keyFromPrivate(n)}},r.prototype._truncateToN=function(e,t){var r=8*e.byteLength()-this.n.bitLength();return r>0&&(e=e.shrn(r)),!t&&e.cmp(this.n)>=0?e.sub(this.n):e},r.prototype.sign=function(e,t,r,f){"object"==typeof r&&(f=r,r=null),f||(f={}),t=this.keyFromPrivate(t,r),e=this._truncateToN(new d(e,16));for(var n=this.n.byteLength(),a=t.getPrivate().toArray(),c=a.length;21>c;c++)a.unshift(0);for(var h=e.toArray(),c=h.length;n>c;c++)h.unshift(0);for(var o=new i.hmacDRBG({hash:this.hash,entropy:a,nonce:h}),b=this.n.sub(new d(1));;){var u=new d(o.generate(this.n.byteLength()));if(u=this._truncateToN(u,!0),!(u.cmpn(1)<=0||u.cmp(b)>=0)){var p=this.g.mul(u);if(!p.isInfinity()){var l=p.getX().mod(this.n);if(0!==l.cmpn(0)){var v=u.invm(this.n).mul(l.mul(t.getPrivate()).iadd(e)).mod(this.n);if(0!==v.cmpn(0))return f.canonical&&v.cmp(this.nh)>0&&(v=this.n.sub(v)),new s({r:l,s:v})}}}}},r.prototype.verify=function(e,t,r,i){e=this._truncateToN(new d(e,16)),r=this.keyFromPublic(r,i),t=new s(t,"hex");var f=t.r,n=t.s;if(f.cmpn(1)<0||f.cmp(this.n)>=0)return!1;if(n.cmpn(1)<0||n.cmp(this.n)>=0)return!1;var a=n.invm(this.n),c=a.mul(e).mod(this.n),h=a.mul(f).mod(this.n),o=this.g.mulAdd(c,r.getPublic(),h);return o.isInfinity()?!1:0===o.getX().mod(this.n).cmp(f)}},{"../../elliptic":1,"./key":9,"./signature":10,"bn.js":14}],9:[function(e,t){"use strict";function r(e,t){this.ec=e,this.priv=null,this.pub=null,t.priv&&this._importPrivate(t.priv,t.privEnc),t.pub&&this._importPublic(t.pub,t.pubEnc)}var d=e("bn.js"),i=e("../../elliptic"),f=i.utils;t.exports=r,r.fromPublic=function(e,t,d){return t instanceof r?t:new r(e,{pub:t,pubEnc:d})},r.fromPrivate=function(e,t,d){return t instanceof r?t:new r(e,{priv:t,privEnc:d})},r.prototype.validate=function(){var e=this.getPublic();return e.isInfinity()?{result:!1,reason:"Invalid public key"}:e.validate()?e.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"}},r.prototype.getPublic=function(e,t){if(this.pub||(this.pub=this.ec.g.mul(this.priv)),"string"==typeof e&&(t=e,e=null),!t)return this.pub;for(var r=this.ec.curve.p.byteLength(),d=this.pub.getX().toArray(),i=d.length;r>i;i++)d.unshift(0);var n;if("mont"!==this.ec.curve.type)if(e)n=[this.pub.getY().isEven()?2:3].concat(d);else{for(var a=this.pub.getY().toArray(),i=a.length;r>i;i++)a.unshift(0);var n=[4].concat(d,a)}else n=d;return f.encode(n,t)},r.prototype.getPrivate=function(e){return"hex"===e?this.priv.toString(16,2):this.priv},r.prototype._importPrivate=function(e,t){this.priv=new d(e,t||16),this.priv=this.priv.mod(this.ec.curve.n)},r.prototype._importPublic=function(e,t){return e.x||e.y?void(this.pub=this.ec.curve.point(e.x,e.y)):(e=f.toArray(e,t),"mont"!==this.ec.curve.type?this._importPublicShort(e):this._importPublicMont(e))},r.prototype._importPublicShort=function(e){var t=this.ec.curve.p.byteLength();
4===e[0]&&e.length-1===2*t?this.pub=this.ec.curve.point(e.slice(1,1+t),e.slice(1+t,1+2*t)):2!==e[0]&&3!==e[0]||e.length-1!==t||(this.pub=this.ec.curve.pointFromX(3===e[0],e.slice(1,1+t)))},r.prototype._importPublicMont=function(e){this.pub=this.ec.curve.point(e,1)},r.prototype.derive=function(e){return e.mul(this.priv).getX()},r.prototype.sign=function(e){return this.ec.sign(e,this)},r.prototype.verify=function(e,t){return this.ec.verify(e,t,this)},r.prototype.inspect=function(){return"<Key priv: "+(this.priv&&this.priv.toString(16,2))+" pub: "+(this.pub&&this.pub.inspect())+" >"}},{"../../elliptic":1,"bn.js":14}],10:[function(e,t){"use strict";function r(e,t){return e instanceof r?e:void(this._importDER(e,t)||(n(e.r&&e.s,"Signature without r or s"),this.r=new d(e.r,16),this.s=new d(e.s,16)))}var d=e("bn.js"),i=e("../../elliptic"),f=i.utils,n=f.assert;t.exports=r,r.prototype._importDER=function(e,t){if(e=f.toArray(e,t),e.length<6||48!==e[0]||2!==e[2])return!1;var r=e[1];if(1+r>e.length)return!1;var i=e[3];if(i>=128)return!1;if(4+i+2>=e.length)return!1;if(2!==e[4+i])return!1;var n=e[5+i];return n>=128?!1:4+i+2+n>e.length?!1:(this.r=new d(e.slice(4,4+i)),this.s=new d(e.slice(4+i+2,4+i+2+n)),!0)},r.prototype.toDER=function(e){var t=this.r.toArray(),r=this.s.toArray();128&t[0]&&(t=[0].concat(t)),128&r[0]&&(r=[0].concat(r));var d=t.length+r.length+4,i=[48,d,2,t.length];return i=i.concat(t,[2,r.length],r),f.encode(i,e)}},{"../../elliptic":1,"bn.js":14}],11:[function(e,t){"use strict";function r(e){if(!(this instanceof r))return new r(e);this.hash=e.hash,this.predResist=!!e.predResist,this.outLen=this.hash.outSize,this.minEntropy=e.minEntropy||this.hash.hmacStrength,this.reseed=null,this.reseedInterval=null,this.K=null,this.V=null;var t=f.toArray(e.entropy,e.entropyEnc),d=f.toArray(e.nonce,e.nonceEnc),i=f.toArray(e.pers,e.persEnc);n(t.length>=this.minEntropy/8,"Not enough entropy. Minimum is: "+this.minEntropy+" bits"),this._init(t,d,i)}var d=e("hash.js"),i=e("../elliptic"),f=i.utils,n=f.assert;t.exports=r,r.prototype._init=function(e,t,r){var d=e.concat(t).concat(r);this.K=new Array(this.outLen/8),this.V=new Array(this.outLen/8);for(var i=0;i<this.V.length;i++)this.K[i]=0,this.V[i]=1;this._update(d),this.reseed=1,this.reseedInterval=281474976710656},r.prototype._hmac=function(){return new d.hmac(this.hash,this.K)},r.prototype._update=function(e){var t=this._hmac().update(this.V).update([0]);e&&(t=t.update(e)),this.K=t.digest(),this.V=this._hmac().update(this.V).digest(),e&&(this.K=this._hmac().update(this.V).update([1]).update(e).digest(),this.V=this._hmac().update(this.V).digest())},r.prototype.reseed=function(e,t,r,d){"string"!=typeof t&&(d=r,r=t,t=null),e=f.toBuffer(e,t),r=f.toBuffer(r,d),n(e.length>=this.minEntropy/8,"Not enough entropy. Minimum is: "+this.minEntropy+" bits"),this._update(e.concat(r||[])),this.reseed=1},r.prototype.generate=function(e,t,r,d){if(this.reseed>this.reseedInterval)throw new Error("Reseed is required");"string"!=typeof t&&(d=r,r=t,t=null),r&&(r=f.toArray(r,d),this._update(r));for(var i=[];i.length<e;)this.V=this._hmac().update(this.V).digest(),i=i.concat(this.V);var n=i.slice(0,e);return 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e.length),this.length=Math.ceil(e.length/3),this.words=new Array(this.length);for(var i=0;i<this.length;i++)this.words[i]=0;var f=0;if("be"===d)for(var i=e.length-1,n=0;i>=0;i-=3){var a=e[i]|e[i-1]<<8|e[i-2]<<16;this.words[n]|=a<<f&67108863,this.words[n+1]=a>>>26-f&67108863,f+=24,f>=26&&(f-=26,n++)}else if("le"===d)for(var i=0,n=0;i<e.length;i+=3){var a=e[i]|e[i+1]<<8|e[i+2]<<16;this.words[n]|=a<<f&67108863,this.words[n+1]=a>>>26-f&67108863,f+=24,f>=26&&(f-=26,n++)}return this.strip()},i.prototype._parseHex=function(e,t){this.length=Math.ceil((e.length-t)/6),this.words=new Array(this.length);for(var r=0;r<this.length;r++)this.words[r]=0;for(var d=0,r=e.length-6,i=0;r>=t;r-=6){var n=f(e,r,r+6);this.words[i]|=n<<d&67108863,this.words[i+1]|=n>>>26-d&4194303,d+=24,d>=26&&(d-=26,i++)}if(r+6!==t){var n=f(e,t,r+6);this.words[i]|=n<<d&67108863,this.words[i+1]|=n>>>26-d&4194303}this.strip()},i.prototype._parseBase=function(e,t,r){this.words=[0],this.length=1;for(var d=0,i=1;67108863>=i;i*=t)d++;d--,i=i/t|0;for(var f=e.length-r,a=f%d,s=Math.min(f,f-a)+r,c=0,h=r;s>h;h+=d)c=n(e,h,h+d,t),this.imuln(i),this.words[0]+c<67108864?this.words[0]+=c:this._iaddn(c);if(0!==a){for(var o=1,c=n(e,h,e.length,t),h=0;a>h;h++)o*=t;this.imuln(o),this.words[0]+c<67108864?this.words[0]+=c:this._iaddn(c)}},i.prototype.copy=function(e){e.words=new Array(this.length);for(var t=0;t<this.length;t++)e.words[t]=this.words[t];e.length=this.length,e.sign=this.sign,e.red=this.red},i.prototype.clone=function(){var e=new i(null);return this.copy(e),e},i.prototype.strip=function(){for(;this.length>1&&0===this.words[this.length-1];)this.length--;return this._normSign()},i.prototype._normSign=function(){return 1===this.length&&0===this.words[0]&&(this.sign=!1),this},i.prototype.inspect=function(){return(this.red?"<BN-R: ":"<BN: ")+this.toString(16)+">"};var p=["","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"],l=[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],v=[0,0,33554432,43046721,16777216,48828125,60466176,40353607,16777216,43046721,1e7,19487171,35831808,62748517,7529536,11390625,16777216,24137569,34012224,47045881,64e6,4084101,5153632,6436343,7962624,9765625,11881376,14348907,17210368,20511149,243e5,28629151,33554432,39135393,45435424,52521875,60466176];i.prototype.toString=function(e,t){if(e=e||10,16===e||"hex"===e){for(var d="",i=0,t=0|t||1,f=0,n=0;n<this.length;n++){var a=this.words[n],s=(16777215&(a<<i|f)).toString(16);f=a>>>24-i&16777215,d=0!==f||n!==this.length-1?p[6-s.length]+s+d:s+d,i+=2,i>=26&&(i-=26,n--)}for(0!==f&&(d=f.toString(16)+d);d.length%t!==0;)d="0"+d;return this.sign&&(d="-"+d),d}if(e===(0|e)&&e>=2&&36>=e){var c=l[e],h=v[e],d="",o=this.clone();for(o.sign=!1;0!==o.cmpn(0);){var b=o.modn(h).toString(e);o=o.idivn(h),d=0!==o.cmpn(0)?p[c-b.length]+b+d:b+d}return 0===this.cmpn(0)&&(d="0"+d),this.sign&&(d="-"+d),d}r(!1,"Base should be between 2 and 36")},i.prototype.toJSON=function(){return this.toString(16)},i.prototype.toArray=function(){this.strip();var e=new Array(this.byteLength());e[0]=0;for(var t=this.clone(),r=0;0!==t.cmpn(0);r++){var d=t.andln(255);t.ishrn(8),e[e.length-r-1]=d}return e},i.prototype._countBits=Math.clz32?function(e){return 32-Math.clz32(e)}:function(e){var t=e,r=0;return t>=4096&&(r+=13,t>>>=13),t>=64&&(r+=7,t>>>=7),t>=8&&(r+=4,t>>>=4),t>=2&&(r+=2,t>>>=2),r+t},i.prototype._zeroBits=function(e){if(0===e)return 26;var t=e,r=0;return 0===(8191&t)&&(r+=13,t>>>=13),0===(127&t)&&(r+=7,t>>>=7),0===(15&t)&&(r+=4,t>>>=4),0===(3&t)&&(r+=2,t>>>=2),0===(1&t)&&r++,r},i.prototype.bitLength=function(){var e=0,t=this.words[this.length-1],e=this._countBits(t);return 26*(this.length-1)+e},i.prototype.zeroBits=function(){if(0===this.cmpn(0))return 0;for(var e=0,t=0;t<this.length;t++){var r=this._zeroBits(this.words[t]);if(e+=r,26!==r)break}return e},i.prototype.byteLength=function(){return Math.ceil(this.bitLength()/8)},i.prototype.neg=function(){if(0===this.cmpn(0))return this.clone();var e=this.clone();return e.sign=!this.sign,e},i.prototype.ior=function(e){for(this.sign=this.sign||e.sign;this.length<e.length;)this.words[this.length++]=0;for(var t=0;t<e.length;t++)this.words[t]=this.words[t]|e.words[t];return this.strip()},i.prototype.or=function(e){return this.length>e.length?this.clone().ior(e):e.clone().ior(this)},i.prototype.iand=function(e){this.sign=this.sign&&e.sign;var t;t=this.length>e.length?e:this;for(var r=0;r<t.length;r++)this.words[r]=this.words[r]&e.words[r];return this.length=t.length,this.strip()},i.prototype.and=function(e){return this.length>e.length?this.clone().iand(e):e.clone().iand(this)},i.prototype.ixor=function(e){this.sign=this.sign||e.sign;var t,r;this.length>e.length?(t=this,r=e):(t=e,r=this);for(var d=0;d<r.length;d++)this.words[d]=t.words[d]^r.words[d];if(this!==t)for(;d<t.length;d++)this.words[d]=t.words[d];return this.length=t.length,this.strip()},i.prototype.xor=function(e){return this.length>e.length?this.clone().ixor(e):e.clone().ixor(this)},i.prototype.setn=function(e,t){r("number"==typeof e&&e>=0);for(var d=e/26|0,i=e%26;this.length<=d;)this.words[this.length++]=0;return this.words[d]=t?this.words[d]|1<<i:this.words[d]&~(1<<i),this.strip()},i.prototype.iadd=function(e){if(this.sign&&!e.sign){this.sign=!1;var t=this.isub(e);return this.sign=!this.sign,this._normSign()}if(!this.sign&&e.sign){e.sign=!1;var t=this.isub(e);return e.sign=!0,t._normSign()}var r,d;this.length>e.length?(r=this,d=e):(r=e,d=this);for(var i=0,f=0;f<d.length;f++){var t=r.words[f]+d.words[f]+i;this.words[f]=67108863&t,i=t>>>26}for(;0!==i&&f<r.length;f++){var t=r.words[f]+i;this.words[f]=67108863&t,i=t>>>26}if(this.length=r.length,0!==i)this.words[this.length]=i,this.length++;else if(r!==this)for(;f<r.length;f++)this.words[f]=r.words[f];return this},i.prototype.add=function(e){if(e.sign&&!this.sign){e.sign=!1;var t=this.sub(e);return e.sign=!0,t}if(!e.sign&&this.sign){this.sign=!1;var t=e.sub(this);return this.sign=!0,t}return this.length>e.length?this.clone().iadd(e):e.clone().iadd(this)},i.prototype.isub=function(e){if(e.sign){e.sign=!1;var t=this.iadd(e);return e.sign=!0,t._normSign()}if(this.sign)return this.sign=!1,this.iadd(e),this.sign=!0,this._normSign();var r=this.cmp(e);if(0===r)return this.sign=!1,this.length=1,this.words[0]=0,this;var d,i;r>0?(d=this,i=e):(d=e,i=this);for(var f=0,n=0;n<i.length;n++){var t=d.words[n]-i.words[n]+f;f=t>>26,this.words[n]=67108863&t}for(;0!==f&&n<d.length;n++){var t=d.words[n]+f;f=t>>26,this.words[n]=67108863&t}if(0===f&&n<d.length&&d!==this)for(;n<d.length;n++)this.words[n]=d.words[n];return this.length=Math.max(this.length,n),d!==this&&(this.sign=!0),this.strip()},i.prototype.sub=function(e){return this.clone().isub(e)},i.prototype._smallMulTo=function(e,t){t.sign=e.sign!==this.sign,t.length=this.length+e.length;for(var r=0,d=0;d<t.length-1;d++){for(var i=r>>>26,f=67108863&r,n=Math.min(d,e.length-1),a=Math.max(0,d-this.length+1);n>=a;a++){var s=d-a,c=0|this.words[s],h=0|e.words[a],o=c*h,b=67108863&o;i=i+(o/67108864|0)|0,b=b+f|0,f=67108863&b,i=i+(b>>>26)|0}t.words[d]=f,r=i}return 0!==r?t.words[d]=r:t.length--,t.strip()},i.prototype._bigMulTo=function(e,t){t.sign=e.sign!==this.sign,t.length=this.length+e.length;for(var r=0,d=0,i=0;i<t.length-1;i++){var f=d;d=0;for(var n=67108863&r,a=Math.min(i,e.length-1),s=Math.max(0,i-this.length+1);a>=s;s++){var c=i-s,h=0|this.words[c],o=0|e.words[s],b=h*o,u=67108863&b;f=f+(b/67108864|0)|0,u=u+n|0,n=67108863&u,f=f+(u>>>26)|0,d+=f>>>26,f&=67108863}t.words[i]=n,r=f,f=d}return 0!==r?t.words[i]=r:t.length--,t.strip()},i.prototype.mulTo=function(e,t){var r;return r=this.length+e.length<63?this._smallMulTo(e,t):this._bigMulTo(e,t)},i.prototype.mul=function(e){var t=new i(null);return t.words=new Array(this.length+e.length),this.mulTo(e,t)},i.prototype.imul=function(e){if(0===this.cmpn(0)||0===e.cmpn(0))return this.words[0]=0,this.length=1,this;var t=this.length,r=e.length;this.sign=e.sign!==this.sign,this.length=this.length+e.length,this.words[this.length-1]=0;for(var d=this.length-2;d>=0;d--){for(var i=0,f=0,n=Math.min(d,r-1),a=Math.max(0,d-t+1);n>=a;a++){var s=d-a,c=this.words[s],h=e.words[a],o=c*h,b=67108863&o;i+=o/67108864|0,b+=f,f=67108863&b,i+=b>>>26}this.words[d]=f,this.words[d+1]+=i,i=0}for(var i=0,s=1;s<this.length;s++){var u=this.words[s]+i;this.words[s]=67108863&u,i=u>>>26}return this.strip()},i.prototype.imuln=function(e){r("number"==typeof e);for(var t=0,d=0;d<this.length;d++){var i=this.words[d]*e,f=(67108863&i)+(67108863&t);t>>=26,t+=i/67108864|0,t+=f>>>26,this.words[d]=67108863&f}return 0!==t&&(this.words[d]=t,this.length++),this},i.prototype.sqr=function(){return this.mul(this)},i.prototype.isqr=function(){return this.mul(this)},i.prototype.ishln=function(e){r("number"==typeof e&&e>=0);var t=e%26,d=(e-t)/26,i=67108863>>>26-t<<26-t;if(0!==t){for(var f=0,n=0;n<this.length;n++){var a=this.words[n]&i,s=this.words[n]-a<<t;this.words[n]=s|f,f=a>>>26-t}f&&(this.words[n]=f,this.length++)}if(0!==d){for(var n=this.length-1;n>=0;n--)this.words[n+d]=this.words[n];for(var n=0;d>n;n++)this.words[n]=0;this.length+=d}return this.strip()},i.prototype.ishrn=function(e,t,d){r("number"==typeof e&&e>=0);var i;i=t?(t-t%26)/26:0;var f=e%26,n=Math.min((e-f)/26,this.length),a=67108863^67108863>>>f<<f,s=d;if(i-=n,i=Math.max(0,i),s){for(var c=0;n>c;c++)s.words[c]=this.words[c];s.length=n}if(0===n);else if(this.length>n){this.length-=n;for(var c=0;c<this.length;c++)this.words[c]=this.words[c+n]}else this.words[0]=0,this.length=1;for(var h=0,c=this.length-1;c>=0&&(0!==h||c>=i);c--){var o=this.words[c];this.words[c]=h<<26-f|o>>>f,h=o&a}return s&&0!==h&&(s.words[s.length++]=h),0===this.length&&(this.words[0]=0,this.length=1),this.strip(),this},i.prototype.shln=function(e){return this.clone().ishln(e)},i.prototype.shrn=function(e){return this.clone().ishrn(e)},i.prototype.testn=function(e){r("number"==typeof e&&e>=0);var t=e%26,d=(e-t)/26,i=1<<t;if(this.length<=d)return!1;var f=this.words[d];return!!(f&i)},i.prototype.imaskn=function(e){r("number"==typeof e&&e>=0);var t=e%26,d=(e-t)/26;if(r(!this.sign,"imaskn works only with positive numbers"),0!==t&&d++,this.length=Math.min(d,this.length),0!==t){var i=67108863^67108863>>>t<<t;this.words[this.length-1]&=i}return this.strip()},i.prototype.maskn=function(e){return this.clone().imaskn(e)},i.prototype.iaddn=function(e){return r("number"==typeof e),0>e?this.isubn(-e):this.sign?1===this.length&&this.words[0]<e?(this.words[0]=e-this.words[0],this.sign=!1,this):(this.sign=!1,this.isubn(e),this.sign=!0,this):this._iaddn(e)},i.prototype._iaddn=function(e){this.words[0]+=e;for(var t=0;t<this.length&&this.words[t]>=67108864;t++)this.words[t]-=67108864,t===this.length-1?this.words[t+1]=1:this.words[t+1]++;return this.length=Math.max(this.length,t+1),this},i.prototype.isubn=function(e){if(r("number"==typeof e),0>e)return this.iaddn(-e);if(this.sign)return this.sign=!1,this.iaddn(e),this.sign=!0,this;this.words[0]-=e;for(var t=0;t<this.length&&this.words[t]<0;t++)this.words[t]+=67108864,this.words[t+1]-=1;return this.strip()},i.prototype.addn=function(e){return this.clone().iaddn(e)},i.prototype.subn=function(e){return this.clone().isubn(e)},i.prototype.iabs=function(){return this.sign=!1,this},i.prototype.abs=function(){return this.clone().iabs()},i.prototype._ishlnsubmul=function(e,t,d){var i,f=e.length+d;if(this.words.length<f){for(var n=new Array(f),i=0;i<this.length;i++)n[i]=this.words[i];this.words=n}else i=this.length;for(this.length=Math.max(this.length,f);i<this.length;i++)this.words[i]=0;for(var a=0,i=0;i<e.length;i++){var s=this.words[i+d]+a,c=e.words[i]*t;s-=67108863&c,a=(s>>26)-(c/67108864|0),this.words[i+d]=67108863&s}for(;i<this.length-d;i++){var s=this.words[i+d]+a;a=s>>26,this.words[i+d]=67108863&s}if(0===a)return this.strip();r(-1===a),a=0;for(var i=0;i<this.length;i++){var s=-this.words[i]+a;a=s>>26,this.words[i]=67108863&s}return this.sign=!0,this.strip()},i.prototype._wordDiv=function(e,t){var r=this.length-e.length,d=this.clone(),f=e,n=f.words[f.length-1],a=this._countBits(n);r=26-a,0!==r&&(f=f.shln(r),d.ishln(r),n=f.words[f.length-1]);var s,c=d.length-f.length;if("mod"!==t){s=new i(null),s.length=c+1,s.words=new Array(s.length);for(var h=0;h<s.length;h++)s.words[h]=0}var o=d.clone()._ishlnsubmul(f,1,c);o.sign||(d=o,s&&(s.words[c]=1));for(var b=c-1;b>=0;b--){var u=67108864*d.words[f.length+b]+d.words[f.length+b-1];for(u=Math.min(u/n|0,67108863),d._ishlnsubmul(f,u,b);d.sign;)u--,d.sign=!1,d._ishlnsubmul(f,1,b),d.sign=!d.sign;s&&(s.words[b]=u)}return s&&s.strip(),d.strip(),"div"!==t&&0!==r&&d.ishrn(r),{div:s?s:null,mod:d}},i.prototype.divmod=function(e,t){if(r(0!==e.cmpn(0)),this.sign&&!e.sign){var d,f,n=this.neg().divmod(e,t);return"mod"!==t&&(d=n.div.neg()),"div"!==t&&(f=0===n.mod.cmpn(0)?n.mod:e.sub(n.mod)),{div:d,mod:f}}if(!this.sign&&e.sign){var d,n=this.divmod(e.neg(),t);return"mod"!==t&&(d=n.div.neg()),{div:d,mod:n.mod}}return this.sign&&e.sign?this.neg().divmod(e.neg(),t):e.length>this.length||this.cmp(e)<0?{div:new i(0),mod:this}:1===e.length?"div"===t?{div:this.divn(e.words[0]),mod:null}:"mod"===t?{div:null,mod:new i(this.modn(e.words[0]))}:{div:this.divn(e.words[0]),mod:new i(this.modn(e.words[0]))}:this._wordDiv(e,t)},i.prototype.div=function(e){return this.divmod(e,"div").div},i.prototype.mod=function(e){return this.divmod(e,"mod").mod},i.prototype.divRound=function(e){var t=this.divmod(e);if(0===t.mod.cmpn(0))return t.div;var r=t.div.sign?t.mod.isub(e):t.mod,d=e.shrn(1),i=e.andln(1),f=r.cmp(d);return 0>f||1===i&&0===f?t.div:t.div.sign?t.div.isubn(1):t.div.iaddn(1)},i.prototype.modn=function(e){r(67108863>=e);for(var t=(1<<26)%e,d=0,i=this.length-1;i>=0;i--)d=(t*d+this.words[i])%e;return d},i.prototype.idivn=function(e){r(67108863>=e);for(var t=0,d=this.length-1;d>=0;d--){var i=this.words[d]+67108864*t;this.words[d]=i/e|0,t=i%e}return this.strip()},i.prototype.divn=function(e){return this.clone().idivn(e)},i.prototype.egcd=function(e){r(!e.sign),r(0!==e.cmpn(0));var t=this,d=e.clone();t=t.sign?t.mod(e):t.clone();for(var f=new i(1),n=new i(0),a=new i(0),s=new i(1),c=0;t.isEven()&&d.isEven();)t.ishrn(1),d.ishrn(1),++c;for(var h=d.clone(),o=t.clone();0!==t.cmpn(0);){for(;t.isEven();)t.ishrn(1),f.isEven()&&n.isEven()?(f.ishrn(1),n.ishrn(1)):(f.iadd(h).ishrn(1),n.isub(o).ishrn(1));for(;d.isEven();)d.ishrn(1),a.isEven()&&s.isEven()?(a.ishrn(1),s.ishrn(1)):(a.iadd(h).ishrn(1),s.isub(o).ishrn(1));t.cmp(d)>=0?(t.isub(d),f.isub(a),n.isub(s)):(d.isub(t),a.isub(f),s.isub(n))}return{a:a,b:s,gcd:d.ishln(c)}},i.prototype._invmp=function(e){r(!e.sign),r(0!==e.cmpn(0));var t=this,d=e.clone();t=t.sign?t.mod(e):t.clone();for(var f=new i(1),n=new i(0),a=d.clone();t.cmpn(1)>0&&d.cmpn(1)>0;){for(;t.isEven();)t.ishrn(1),f.isEven()?f.ishrn(1):f.iadd(a).ishrn(1);for(;d.isEven();)d.ishrn(1),n.isEven()?n.ishrn(1):n.iadd(a).ishrn(1);t.cmp(d)>=0?(t.isub(d),f.isub(n)):(d.isub(t),n.isub(f))}return 0===t.cmpn(1)?f:n},i.prototype.gcd=function(e){if(0===this.cmpn(0))return e.clone();if(0===e.cmpn(0))return this.clone();var t=this.clone(),r=e.clone();t.sign=!1,r.sign=!1;for(var d=0;t.isEven()&&r.isEven();d++)t.ishrn(1),r.ishrn(1);for(;;){for(;t.isEven();)t.ishrn(1);for(;r.isEven();)r.ishrn(1);var i=t.cmp(r);if(0>i){var f=t;t=r,r=f}else if(0===i||0===r.cmpn(1))break;t.isub(r)}return r.ishln(d)},i.prototype.invm=function(e){return this.egcd(e).a.mod(e)},i.prototype.isEven=function(){return 0===(1&this.words[0])},i.prototype.isOdd=function(){return 1===(1&this.words[0])},i.prototype.andln=function(e){return this.words[0]&e},i.prototype.bincn=function(e){r("number"==typeof e);var t=e%26,d=(e-t)/26,i=1<<t;if(this.length<=d){for(var f=this.length;d+1>f;f++)this.words[f]=0;return this.words[d]|=i,this.length=d+1,this}for(var n=i,f=d;0!==n&&f<this.length;f++){var a=this.words[f];a+=n,n=a>>>26,a&=67108863,this.words[f]=a}return 0!==n&&(this.words[f]=n,this.length++),this},i.prototype.cmpn=function(e){var t=0>e;if(t&&(e=-e),this.sign&&!t)return-1;if(!this.sign&&t)return 1;e&=67108863,this.strip();var r;if(this.length>1)r=1;else{var d=this.words[0];r=d===e?0:e>d?-1:1}return this.sign&&(r=-r),r},i.prototype.cmp=function(e){if(this.sign&&!e.sign)return-1;if(!this.sign&&e.sign)return 1;var t=this.ucmp(e);return this.sign?-t:t},i.prototype.ucmp=function(e){if(this.length>e.length)return 1;if(this.length<e.length)return-1;for(var t=0,r=this.length-1;r>=0;r--){var d=this.words[r],i=e.words[r];if(d!==i){i>d?t=-1:d>i&&(t=1);break}}return t},i.red=function(e){return new b(e)},i.prototype.toRed=function(e){return r(!this.red,"Already a number in reduction context"),r(!this.sign,"red works only with positives"),e.convertTo(this)._forceRed(e)},i.prototype.fromRed=function(){return r(this.red,"fromRed works only with numbers in reduction context"),this.red.convertFrom(this)},i.prototype._forceRed=function(e){return this.red=e,this},i.prototype.forceRed=function(e){return r(!this.red,"Already a number in reduction context"),this._forceRed(e)},i.prototype.redAdd=function(e){return r(this.red,"redAdd works only with red numbers"),this.red.add(this,e)},i.prototype.redIAdd=function(e){return r(this.red,"redIAdd works only with red numbers"),this.red.iadd(this,e)},i.prototype.redSub=function(e){return r(this.red,"redSub works only with red numbers"),this.red.sub(this,e)},i.prototype.redISub=function(e){return r(this.red,"redISub works only with red numbers"),this.red.isub(this,e)},i.prototype.redShl=function(e){return r(this.red,"redShl works only with red numbers"),this.red.shl(this,e)},i.prototype.redMul=function(e){return r(this.red,"redMul works only with red numbers"),this.red._verify2(this,e),this.red.mul(this,e)},i.prototype.redIMul=function(e){return r(this.red,"redMul works only with red numbers"),this.red._verify2(this,e),this.red.imul(this,e)},i.prototype.redSqr=function(){return r(this.red,"redSqr works only with red numbers"),this.red._verify1(this),this.red.sqr(this)},i.prototype.redISqr=function(){return r(this.red,"redISqr works only with red 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0===d?(r.words[0]=0,r.length=1):d>0?r.isub(this.p):r.strip(),r},a.prototype.split=function(e,t){e.ishrn(this.n,0,t)},a.prototype.imulK=function(e){return e.imul(this.k)},d(s,a),s.prototype.split=function(e,t){for(var r=4194303,d=Math.min(e.length,9),i=0;d>i;i++)t.words[i]=e.words[i];if(t.length=d,e.length<=9)return e.words[0]=0,void(e.length=1);var f=e.words[9];t.words[t.length++]=f&r;for(var i=10;i<e.length;i++){var n=e.words[i];e.words[i-10]=(n&r)<<4|f>>>22,f=n}e.words[i-10]=f>>>22,e.length-=9},s.prototype.imulK=function(e){e.words[e.length]=0,e.words[e.length+1]=0,e.length+=2;for(var t,r=0,d=0;d<e.length;d++){var i=e.words[d];t=64*i,r+=977*i,t+=r/67108864|0,r&=67108863,e.words[d]=r,r=t}return 0===e.words[e.length-1]&&(e.length--,0===e.words[e.length-1]&&e.length--),e},d(c,a),d(h,a),d(o,a),o.prototype.imulK=function(e){for(var t=0,r=0;r<e.length;r++){var d=19*e.words[r]+t,i=67108863&d;d>>>=26,e.words[r]=i,t=d}return 0!==t&&(e.words[e.length++]=t),e},i._prime=function m(e){if(g[e])return g[e];var m;if("k256"===e)m=new s;else if("p224"===e)m=new c;else if("p192"===e)m=new h;else{if("p25519"!==e)throw new Error("Unknown prime "+e);m=new o}return g[e]=m,m},b.prototype._verify1=function(e){r(!e.sign,"red works only with positives"),r(e.red,"red works only with red numbers")},b.prototype._verify2=function(e,t){r(!e.sign&&!t.sign,"red works only with positives"),r(e.red&&e.red===t.red,"red works only with red numbers")},b.prototype.imod=function(e){return this.prime?this.prime.ireduce(e)._forceRed(this):e.mod(this.m)._forceRed(this)},b.prototype.neg=function(e){var t=e.clone();return t.sign=!t.sign,t.iadd(this.m)._forceRed(this)},b.prototype.add=function(e,t){this._verify2(e,t);var r=e.add(t);return r.cmp(this.m)>=0&&r.isub(this.m),r._forceRed(this)},b.prototype.iadd=function(e,t){this._verify2(e,t);var r=e.iadd(t);return r.cmp(this.m)>=0&&r.isub(this.m),r},b.prototype.sub=function(e,t){this._verify2(e,t);var r=e.sub(t);return r.cmpn(0)<0&&r.iadd(this.m),r._forceRed(this)},b.prototype.isub=function(e,t){this._verify2(e,t);var r=e.isub(t);return r.cmpn(0)<0&&r.iadd(this.m),r},b.prototype.shl=function(e,t){return this._verify1(e),this.imod(e.shln(t))},b.prototype.imul=function(e,t){return this._verify2(e,t),this.imod(e.imul(t))},b.prototype.mul=function(e,t){return this._verify2(e,t),this.imod(e.mul(t))},b.prototype.isqr=function(e){return this.imul(e,e)},b.prototype.sqr=function(e){return this.mul(e,e)},b.prototype.sqrt=function(e){if(0===e.cmpn(0))return e.clone();var t=this.m.andln(3);if(r(t%2===1),3===t){var d=this.m.add(new i(1)).ishrn(2),f=this.pow(e,d);return f}for(var n=this.m.subn(1),a=0;0!==n.cmpn(0)&&0===n.andln(1);)a++,n.ishrn(1);r(0!==n.cmpn(0));var s=new i(1).toRed(this),c=s.redNeg(),h=this.m.subn(1).ishrn(1),o=this.m.bitLength();for(o=new i(2*o*o).toRed(this);0!==this.pow(o,h).cmp(c);)o.redIAdd(c);for(var b=this.pow(o,n),f=this.pow(e,n.addn(1).ishrn(1)),u=this.pow(e,n),p=a;0!==u.cmp(s);){for(var l=u,v=0;0!==l.cmp(s);v++)l=l.redSqr();r(p>v);var g=this.pow(b,new i(1).ishln(p-v-1));f=f.redMul(g),b=g.redSqr(),u=u.redMul(b),p=v}return f},b.prototype.invm=function(e){var t=e._invmp(this.m);return t.sign?(t.sign=!1,this.imod(t).redNeg()):this.imod(t)},b.prototype.pow=function(e,t){for(var r=[],d=t.clone();0!==d.cmpn(0);)r.push(d.andln(1)),d.ishrn(1);for(var i=e,f=0;f<r.length&&0===r[f];f++,i=this.sqr(i));if(++f<r.length)for(var d=this.sqr(i);f<r.length;f++,d=this.sqr(d))0!==r[f]&&(i=this.mul(i,d));return i},b.prototype.convertTo=function(e){return e.clone()},b.prototype.convertFrom=function(e){var t=e.clone();return t.red=null,t},i.mont=function(e){return new u(e)},d(u,b),u.prototype.convertTo=function(e){return this.imod(e.shln(this.shift))},u.prototype.convertFrom=function(e){var t=this.imod(e.mul(this.rinv));return t.red=null,t},u.prototype.imul=function(e,t){if(0===e.cmpn(0)||0===t.cmpn(0))return e.words[0]=0,e.length=1,e;var 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