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/*!
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/*!
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function t(e,r,n,i,o){o=o||"";var s,a,u,h=Object.keys(r),f=h.length,c=0,l=e.$__.strictMode,d=e.$__schema;for(;c<f;)p(c++);function p(f){if(u=h[f],a=o+u,s=d.path(a),!d.$isRootDiscriminator||e.$__isSelected(a))if(!s&&U.isPOJO(r[u]))n[u]||(n[u]={},l||u in d.tree||u in d.methods||u in d.virtuals||(e[u]=n[u])),t(e,r[u],n[u],i,a+".");else if(s){if(n.hasOwnProperty(u)&&void 0!==r[u]&&delete n[u],null===r[u])n[u]=s._castNullish(null);else if(void 0!==r[u]){var c=null==r[u].$__?null:r[u].$__.wasPopulated;if(s&&!c)try{n[u]=s.cast(r[u],e,!0)}catch(t){e.invalidate(t.path,new w({path:t.path,message:t.message,type:"cast",value:t.value,reason:t}))}else n[u]=r[u]}e.$isModified(a)||e.$__.activePaths.init(a)}else n[u]=r[u],l||(e[u]=r[u])}}(this,t,this._doc,e),C(this,e.populated),this.$emit("init",this),this.constructor.emit("init",this),this.$__._id=this._id;var f=!1===this.$__.exclude&&this.$__.fields?M(this.$__.fields):null;return st(this,this.$__.fields,this.$__.exclude,f,!1,this.$__.skipDefaults),this},it.prototype.update=function(){var t=Array.prototype.slice.call(arguments);t.unshift({_id:this._id});var e=this.constructor.update.apply(this.constructor,t);return null!=this.$session()&&("session"in e.options||(e.options.session=this.$session())),e},it.prototype.updateOne=function(t,e,r){var n=this,i=this.constructor.updateOne({_id:this._id},t,e);return i.pre((function(t){n.constructor._middleware.execPre("updateOne",n,[n],t)})),i.post((function(t){n.constructor._middleware.execPost("updateOne",n,[n],{},t)})),null!=this.$session()&&("session"in i.options||(i.options.session=this.$session())),null!=r?i.exec(r):i},it.prototype.replaceOne=function(){var t=Array.prototype.slice.call(arguments);return t.unshift({_id:this._id}),this.constructor.replaceOne.apply(this.constructor,t)},it.prototype.$session=function(t){if(0===arguments.length)return null!=this.$__.session&&this.$__.session.hasEnded?(this.$__.session=null,null):this.$__.session;if(null!=t&&t.hasEnded)throw new l("Cannot set a document's session to a session that has ended. Make sure you haven't called `endSession()` on the session you are passing to `$session()`.");if(null!=t||null!=this.$__.session){if(this.$__.session=t,!this.$isSubdocument){var e,r=this.$getAllSubdocs(),n=i(r);try{for(n.s();!(e=n.n()).done;){var o=e.value;o.$session(t)}}catch(t){n.e(t)}finally{n.f()}}return t}},it.prototype.overwrite=function(t){for(var e=0,r=Array.from(new Set(Object.keys(this._doc).concat(Object.keys(t))));e<r.length;e++){var n=r[e];"_id"!==n&&(this.$__schema.options.versionKey&&n===this.$__schema.options.versionKey||this.$__schema.options.discriminatorKey&&n===this.$__schema.options.discriminatorKey||this.$set(n,t[n]))}return this},it.prototype.$set=function(t,e,r,o){var a=this;U.isPOJO(r)&&(o=r,r=void 0);var u,h,f,c,y=(o=o||{}).merge,m=r&&!0!==r,b=!0===r,g=this.$__schema.options.typeKey,w=0,_="strict"in o?o.strict:this.$__.strictMode;if(m&&((this.$__.adhocPaths||(this.$__.adhocPaths={}))[t]=this.$__schema.interpretAsType(t,r,this.$__schema.options)),null==t){var M=[e,t];t=M[0],e=M[1]}else if("string"!=typeof t){if(t instanceof it&&(t=t.$__isNested?t.toObject():t._doc),null==t){var S=[e,t];t=S[0],e=S[1]}c=e?e+".":"";var A=(u=P(this.$__schema,t)).length,E=o._skipMinimizeTopLevel||!1;if(0===A&&E)return delete o._skipMinimizeTopLevel,e&&this.$set(e,{}),this;for(var x=0;x<A;++x){var k=c+(f=u[x]);h=this.$__schema.pathType(k);var j=t[f];if(!0!==r||c||null==j||"nested"!==h||null==this._doc[f]?o=Object.assign({},o,{_skipMinimizeTopLevel:!1}):(delete this._doc[f],o=Object.assign({},o,{_skipMinimizeTopLevel:!0})),U.isNonBuiltinObject(j)&&"nested"===h)at(t[f],c+f,this),this.$set(c+f,t[f],b,Object.assign({},o,{_skipMarkModified:!0}));else if(_){if(b&&void 0===t[f]&&void 0!==this.$get(k))continue;if("adhocOrUndefined"===h&&(h=$(this,k,{typeOnly:!0})),"real"===h||"virtual"===h){var B=t[f];this.$set(c+f,B,b,o)}else if("nested"===h&&t[f]instanceof it)this.$set(c+f,t[f].toObject({transform:!1}),b,o);else if("throw"===_)throw"nested"===h?new p(f,t[f]):new v(f)}else void 0!==t[f]&&this.$set(c+f,t[f],b,o)}for(var T=0,I=Object.keys(this.$__schema.tree);T<I.length;T++){var N=I[T];if(this._doc.hasOwnProperty(N)){var C=this._doc[N];delete this._doc[N],this._doc[N]=C}}return this}var q=this.$__schema.pathType(t);"adhocOrUndefined"===q&&(q=$(this,t,{typeOnly:!0})),e=R(e);var F,z=null!=a.$__.priorDoc?a.$__.priorDoc.$__getValue(t):b?void 0:a.$__getValue(t);if("nested"===q&&e){if("object"===s(e)&&null!=e){if(null!=e.$__&&(e=e.toObject(D)),null==e)return this.invalidate(t,new l.CastError("Object",e,t)),this;var V=null!=this.$__.savedState&&this.$__.savedState.hasOwnProperty(t);if(null!=this.$__.savedState&&!this.$isNew&&!this.$__.savedState.hasOwnProperty(t)){var K=this.$__getValue(t);this.$__.savedState[t]=K;for(var H=0,Z=Object.keys(K||{});H<Z.length;H++){var W=Z[H];this.$__.savedState[t+"."+W]=K[W]}}if(y)return this.$set(e,t,b);this.$__setValue(t,null),O(this,t);var J=P(this.$__schema,e,t);this.$__setValue(t,{});var Y,Q=i(J);try{for(Q.s();!(Y=Q.n()).done;){var G=Y.value;this.$set(t+"."+G,e[G],b,o)}}catch(t){Q.e(t)}finally{Q.f()}return null!=z&&U.deepEqual(V?this.$__.savedState[t]:z,e)?this.unmarkModified(t):this.markModified(t),this}return this.invalidate(t,new l.CastError("Object",e,t)),this}var tt=-1===t.indexOf(".")?[t]:t.split(".");if("string"==typeof this.$__schema.aliases[tt[0]]&&(tt[0]=this.$__schema.aliases[tt[0]]),"adhocOrUndefined"===q&&_){var et;for(w=0;w<tt.length;++w){var rt=tt.slice(0,w+1).join(".");if(w+1<tt.length&&"virtual"===this.$__schema.pathType(rt))return L.set(t,e,this),this;if(null!=(F=this.$__schema.path(rt))&&F instanceof d){et=!0;break}}if(null==F&&(F=$(this,t)),!et&&!F){if("throw"===_)throw new v(t);return this}}else{if("virtual"===q)return(F=this.$__schema.virtualpath(t)).applySetters(e,this),this;F=this.$__path(t)}var nt,ot=this._doc,st="";for(w=0;w<tt.length-1;++w)ot=ot[tt[w]],st+=(0!==st.length?".":"")+tt[w],ot||(this.$set(st,{}),this.$__isSelected(st)||this.unmarkModified(st),ot=this.$__getValue(st));if(tt.length<=1)nt=t;else{var ut=tt.length;for(w=0;w<ut;++w){var ht=tt.slice(0,w+1).join(".");if(null===this.$get(ht,null,{getters:!1})){nt=ht;break}}nt||(nt=t)}if(!F)return this.$__set(nt,t,o,b,tt,F,e,z),this;if((F.$isSingleNested||F.$isMongooseArray)&&
/*!
 * ignore
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function(t,e){if(!t.$__.validationError)return;for(var r=Object.keys(t.$__.validationError.errors),n=0,i=r;n<i.length;n++){var o=i[n];o.startsWith(e+".")&&delete t.$__.validationError.errors[o]}0===Object.keys(t.$__.validationError.errors).length&&(t.$__.validationError=null)}
/*!
 * ignore
 */(this,t),null!=e&&y&&F.$isSingleNested){e instanceof it&&(e=e.toObject({virtuals:!1,transform:!1}));for(var ft=0,ct=Object.keys(e);ft<ct.length;ft++){var lt=ct[ft];this.$set(t+"."+lt,e[lt],b,o)}return this}var dt=!0;try{var pt,yt=function(){if(null==F.options)return!1;if(!(e instanceof it))return!1;var t=e.constructor,r=F.options.ref;if(null!=r&&(r===t.modelName||r===t.baseModelName))return!0;var n=F.options.refPath;if(null==n)return!1;var i=e.get(n);return i===t.modelName||i===t.baseModelName}(),mt=!1;if(yt&&e instanceof it){var bt=F&&F.$isSingleNested?F.cast(e,this):e._id;this.$populated(t,bt,n({},X,e.constructor)),e.$__.wasPopulated={value:bt},mt=!0}if(F.options&&Array.isArray(F.options[g])&&F.options[g].length&&F.options[g][0].ref&&
/*!
 * ignore
 */
function(t,e){if(!Array.isArray(t))return!1;if(0===t.length)return!1;var r,n=i(t);try{for(n.s();!(r=n.n()).done;){var o=r.value;if(!(o instanceof it))return!1;if(null==o.constructor.modelName)return!1;if(o.constructor.modelName!=e&&o.constructor.baseModelName!=e)return!1}}catch(t){n.e(t)}finally{n.f()}return!0}(e,F.options[g][0].ref)){pt=n({},X,e[0].constructor),this.$populated(t,e.map((function(t){return t._id})),pt);var vt,gt=i(e);try{for(gt.s();!(vt=gt.n()).done;){var wt=vt.value;wt.$__.wasPopulated={value:wt._id}}}catch(t){gt.e(t)}finally{gt.f()}mt=!0}if(null!=this.$__schema.singleNestedPaths[t]||yt&&F.$isSingleNested&&e.$__||(e=F.applySetters(e,this,!1,z)),Array.isArray(e)&&!Array.isArray(F)&&F.$isMongooseDocumentArray&&0!==e.length&&null!=e[0]&&null!=e[0].$__&&null!=e[0].$__.populated){for(var _t=Object.keys(e[0].$__.populated),Mt=function(){var r=Ot[St];a.$populated(t+"."+r,e.map((function(t){return t.$populated(r)})),e[0].$__.populated[r].options)},St=0,Ot=_t;St<Ot.length;St++)Mt();mt=!0}if(!mt&&this.$__.populated){if(Array.isArray(e)&&this.$__.populated[t])for(var At=0;At<e.length;++At)e[At]instanceof it&&e.set(At,e[At]._id,!0);delete this.$__.populated[t]}null!=e&&F.$isSingleNested&&function(t,e,r){var n=e.schema;if(null==n)return;for(var i=0,o=Object.keys(n.paths);i<o.length;i++){var s=o[i],a=n.paths[s];if(null!=a.$immutableSetter){var u=null==r?void 0:r.$__getValue(s);a.$immutableSetter.call(t,u)}}}(e,F,z),this.$markValid(t)}catch(r){r instanceof l.StrictModeError&&r.isImmutableError?this.invalidate(t,r):r instanceof l.CastError?(this.invalidate(r.path,r),r.$originalErrorPath&&this.invalidate(t,new l.CastError(F.instance,e,t,r.$originalErrorPath))):this.invalidate(t,new l.CastError(F.instance,e,t,r)),dt=!1}if(dt){var Et=this.$isSubdocument?this.ownerDocument():this,xt=Et.$__.savedState,kt=this.$isSubdocument?this.$__.fullPath+"."+t:t;if(null!=xt){var jt=kt.indexOf("."),$t=-1===jt?kt:kt.slice(0,jt);xt.hasOwnProperty($t)||(xt[$t]=U.clone(Et.$__getValue($t)))}this.$__set(nt,t,o,b,tt,F,e,z),null!=xt&&xt.hasOwnProperty(kt)&&U.deepEqual(e,xt[kt])&&this.unmarkModified(t)}return F.$isSingleNested&&(this.isDirectModified(t)||null==e)&&O(this,t),this},it.prototype.set=it.prototype.$set,it.prototype.$__shouldModify=function(t,e,r,n,i,o,s,a){return!r._skipMarkModified&&(!!this.$isNew||null==this.$__schema.singleNestedPaths[e]&&(void 0===s&&!this.$__isSelected(e)||(void 0!==s||!(e in this.$__.activePaths.states.default))&&(!(this.$populated(e)&&s instanceof it&&V(s._id,a))&&(!V(s,a||U.getValue(e,this))||!(n||null==s||!(e in this.$__.activePaths.states.default)||!V(s,o.getDefault(this,n)))))))},it.prototype.$__set=function(t,e,n,i,o,s,a,f){h=h||r(46);var c=this.$__shouldModify(t,e,n,i,o,s,a,f),l=this;c?(this.markModified(t),u||(u=r(166)),a&&U.isMongooseArray(a)&&(a._registerAtomic("$set",a),U.isMongooseDocumentArray(a)&&a.forEach((function(t){t&&t.__parentArray&&(t.__parentArray=a)})),this.$__.activePaths.forEach((function(t){t.startsWith(e+".")&&l.$__.activePaths.ignore(t)})))):Array.isArray(a)&&Array.isArray(f)&&U.isMongooseArray(a)&&U.isMongooseArray(f)&&(a[Z]=f[Z],a[H]=f[H],U.isMongooseDocumentArray(a)&&a.forEach((function(t){t.isNew=!1})));for(var d=this._doc,p=0,y=o.length,m="";p<y;p++){var b=p+1===y;if(m+=m?"."+o[p]:o[p],nt.has(o[p]))return;b?d instanceof Map?d.set(o[p],a):d[o[p]]=a:(U.isPOJO(d[o[p]])||d[o[p]]&&d[o[p]]instanceof h||d[o[p]]&&!Array.isArray(d[o[p]])&&d[o[p]].$isSingleNested||d[o[p]]&&Array.isArray(d[o[p]])||(d[o[p]]=d[o[p]]||{}),d=d[o[p]])}},it.prototype.$__getValue=function(t){return U.getValue(t,this._doc)},it.prototype.$__setValue=function(t,e){return U.setValue(t,e,this._doc),this},it.prototype.get=function(t,e,r){var n;r=r||{},e&&(n=this.$__schema.interpretAsType(t,e,this.$__schema.options));var i=this.$__path(t);if(null==i&&(i=this.$__schema.virtualpath(t)),i instanceof d){var o=this.$__schema.virtualpath(t);null!=o&&(i=o)}var s=-1===t.indexOf(".")?[t]:t.split("."),a=this._doc;if(i instanceof _)return i.applyGetters(void 0,this);"string"==typeof this.$__schema.aliases[s[0]]&&(s[0]=this.$__schema.aliases[s[0]]);for(var u=0,h=s.length;u<h;u++)a&&a._doc&&(a=a._doc),a=null==a?void 0:a instanceof Map?a.get(s[u],{getters:!1}):u===h-1?U.getValue(s[u],a):a[s[u]];if(n&&(a=n.cast(a)),null!=i&&!1!==r.getters)a=i.applyGetters(a,this);else if(this.$__schema.nested[t]&&r.virtuals)return dt(this,U.clone(a)||{},{path:t});return a},
/*!
 * ignore
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it.prototype[G]=it.prototype.get,it.prototype.$get=it.prototype.get,it.prototype.$__path=function(t){var e=this.$__.adhocPaths,r=e&&e.hasOwnProperty(t)?e[t]:null;return r||this.$__schema.path(t)},it.prototype.markModified=function(t,e){this.$__.activePaths.modify(t),null==e||this.$isSubdocument||(this.$__.pathsToScopes=this.$__pathsToScopes||{},this.$__.pathsToScopes[t]=e)},it.prototype.unmarkModified=function(t){this.$__.activePaths.init(t),null!=this.$__.pathsToScopes&&delete this.$__.pathsToScopes[t]},it.prototype.$ignore=function(t){this.$__.activePaths.ignore(t)},it.prototype.directModifiedPaths=function(){return Object.keys(this.$__.activePaths.states.modify)},it.prototype.$isEmpty=function(t){var e={minimize:!0,virtuals:!1,getters:!1,transform:!1};if(0!==arguments.length){var r=this.$get(t);return null==r||"object"===s(r)&&(U.isPOJO(r)?ut(r):0===Object.keys(r.toObject(e)).length)}return 0===Object.keys(this.toObject(e)).length},it.prototype.modifiedPaths=function(t){t=t||{};var e=Object.keys(this.$__.activePaths.states.modify),r=new Set,n=0,i=0,o=e.length;for(n=0;n<o;++n){var a=e[n],u=rt(a),h=u.length;for(i=0;i<h;++i)r.add(u[i]);if(t.includeChildren){var f=0,c=this.$get(a);if("object"===s(c)&&null!==c){c._doc&&(c=c._doc);var l=c.length;if(Array.isArray(c))for(f=0;f<l;++f){var d=a+"."+f;if(!r.has(d)&&(r.add(d),null!=c[f]&&c[f].$__)){var p=c[f].modifiedPaths(),y=0,m=p.length;for(y=0;y<m;++y)r.add(d+"."+p[y])}}else{var b=Object.keys(c),v=0,g=b.length;for(v=0;v<g;++v)r.add(a+"."+b[v])}}}}return Array.from(r)},it.prototype[Y]=it.prototype.modifiedPaths,it.prototype.isModified=function(t,e){if(t){var r=Object.keys(this.$__.activePaths.states.modify);if(0===r.length)return!1;Array.isArray(t)||(t=-1===t.indexOf(" ")?[t]:t.split(" "));var n=e||this[Y]();return t.some((function(t){return!!~n.indexOf(t)}))||t.some((function(t){return r.some((function(e){return e===t||t.startsWith(e+".")}))}))}return this.$__.activePaths.some("modify")},it.prototype.$isModified=it.prototype.isModified,it.prototype[J]=it.prototype.isModified,it.prototype.$isDefault=function(t){var e=this;if(null==t)return this.$__.activePaths.some("default");if("string"==typeof t&&-1===t.indexOf(" "))return this.$__.activePaths.states.default.hasOwnProperty(t);var r=t;return Array.isArray(r)||(r=r.split(" ")),r.some((function(t){return e.$__.activePaths.states.default.hasOwnProperty(t)}))},it.prototype.$isDeleted=function(t){return 0===arguments.length?!!this.$__.isDeleted:(this.$__.isDeleted=!!t,this)},it.prototype.isDirectModified=function(t){var e=this;if(null==t)return this.$__.activePaths.some("modify");if("string"==typeof t&&-1===t.indexOf(" "))return this.$__.activePaths.states.modify.hasOwnProperty(t);var r=t;return Array.isArray(r)||(r=r.split(" ")),r.some((function(t){return e.$__.activePaths.states.modify.hasOwnProperty(t)}))},it.prototype.isInit=function(t){var e=this;if(null==t)return this.$__.activePaths.some("init");if("string"==typeof t&&-1===t.indexOf(" "))return this.$__.activePaths.states.init.hasOwnProperty(t);var r=t;return Array.isArray(r)||(r=r.split(" ")),r.some((function(t){return e.$__.activePaths.states.init.hasOwnProperty(t)}))},it.prototype.isSelected=function(t){var e=this;if(null==this.$__.selected)return!0;if(!t)return!1;if("_id"===t)return 0!==this.$__.selected._id;if(-1!==t.indexOf(" ")&&(t=t.split(" ")),Array.isArray(t))return t.some((function(t){return e.$__isSelected(t)}));var r=Object.keys(this.$__.selected),n=null;if(1===r.length&&"_id"===r[0])return 0===this.$__.selected._id;for(var i=0,o=r;i<o.length;i++){var s=o[i];if("_id"!==s&&T(this.$__.selected[s])){n=!!this.$__.selected[s];break}}if(null===n)return!0;if(t in this.$__.selected)return n;for(var a=t+".",u=0,h=r;u<h.length;u++){var f=h[u];if("_id"!==f){if(f.startsWith(a))return n||f!==a;if(a.startsWith(f+"."))return n}}return!n},it.prototype.$__isSelected=it.prototype.isSelected,it.prototype.isDirectSelected=function(t){var e=this;if(null==this.$__.selected)return!0;if("_id"===t)return 0!==this.$__.selected._id;if(-1!==t.indexOf(" ")&&(t=t.split(" ")),Array.isArray(t))return t.some((function(t){return e.isDirectSelected(t)}));var r=Object.keys(this.$__.selected),n=null;if(1===r.length&&"_id"===r[0])return 0===this.$__.selected._id;for(var i=0,o=r;i<o.length;i++){var s=o[i];if("_id"!==s&&T(this.$__.selected[s])){n=!!this.$__.selected[s];break}}return null===n||(this.$__.selected.hasOwnProperty(t)?n:!n)},it.prototype.validate=function(t,e,r){var n,i=this;if(this.$op="validate",null!=this.$isSubdocument||(this.$__.validating?n=new m(this,{parentStack:e&&e.parentStack,conflictStack:this.$__.validating.stack}):this.$__.validating=new m(this,{parentStack:e&&e.parentStack})),1===arguments.length?"object"!==s(arguments[0])||Array.isArray(arguments[0])?"function"==typeof arguments[0]&&(r=arguments[0],e=null,t=null):(e=arguments[0],r=null,t=null):"function"==typeof t?(r=t,e=null,t=null):"function"==typeof e&&(r=e,e=t,t=null),e&&"string"==typeof e.pathsToSkip){var o=-1===e.pathsToSkip.indexOf(" ");e.pathsToSkip=o?[e.pathsToSkip]:e.pathsToSkip.split(" ")}return S(r,(function(r){if(null!=n)return r(n);i.$__validate(t,e,(function(t){i.$op=null,r(t)}))}),this.constructor.events)},it.prototype.$validate=it.prototype.validate,it.prototype.$__validate=function(t,e,r){var n=this;"function"==typeof t?(r=t,e=null,t=null):"function"==typeof e&&(r=e,e=null);var o,a=e&&"object"===s(e)&&"validateModifiedOnly"in e,u=e&&e.pathsToSkip||null;o=a?!!e.validateModifiedOnly:this.$__schema.options.validateModifiedOnly;var h=this,f=function(){var t=n.$__.validationError;if(n.$__.validationError=void 0,o&&null!=t){for(var e=0,r=Object.keys(t.errors);e<r.length;e++){var i=r[e];n.$isModified(i)||delete t.errors[i]}0===Object.keys(t.errors).length&&(t=void 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e,r;this.length>t.length?(e=this,r=t):(e=t,r=this);for(var n=0;n<r.length;n++)this.words[n]=e.words[n]^r.words[n];if(this!==e)for(;n<e.length;n++)this.words[n]=e.words[n];return this.length=e.length,this.strip()},s.prototype.ixor=function(t){return i(0==(this.negative|t.negative)),this.iuxor(t)},s.prototype.xor=function(t){return this.length>t.length?this.clone().ixor(t):t.clone().ixor(this)},s.prototype.uxor=function(t){return this.length>t.length?this.clone().iuxor(t):t.clone().iuxor(this)},s.prototype.inotn=function(t){i("number"==typeof t&&t>=0);var e=0|Math.ceil(t/26),r=t%26;this._expand(e),r>0&&e--;for(var n=0;n<e;n++)this.words[n]=67108863&~this.words[n];return r>0&&(this.words[n]=~this.words[n]&67108863>>26-r),this.strip()},s.prototype.notn=function(t){return this.clone().inotn(t)},s.prototype.setn=function(t,e){i("number"==typeof t&&t>=0);var r=t/26|0,n=t%26;return this._expand(r+1),this.words[r]=e?this.words[r]|1<<n:this.words[r]&~(1<<n),this.strip()},s.prototype.iadd=function(t){var e,r,n;if(0!==this.negative&&0===t.negative)return this.negative=0,e=this.isub(t),this.negative^=1,this._normSign();if(0===this.negative&&0!==t.negative)return t.negative=0,e=this.isub(t),t.negative=1,e._normSign();this.length>t.length?(r=this,n=t):(r=t,n=this);for(var i=0,o=0;o<n.length;o++)e=(0|r.words[o])+(0|n.words[o])+i,this.words[o]=67108863&e,i=e>>>26;for(;0!==i&&o<r.length;o++)e=(0|r.words[o])+i,this.words[o]=67108863&e,i=e>>>26;if(this.length=r.length,0!==i)this.words[this.length]=i,this.length++;else if(r!==this)for(;o<r.length;o++)this.words[o]=r.words[o];return this},s.prototype.add=function(t){var e;return 0!==t.negative&&0===this.negative?(t.negative=0,e=this.sub(t),t.negative^=1,e):0===t.negative&&0!==this.negative?(this.negative=0,e=t.sub(this),this.negative=1,e):this.length>t.length?this.clone().iadd(t):t.clone().iadd(this)},s.prototype.isub=function(t){if(0!==t.negative){t.negative=0;var e=this.iadd(t);return t.negative=1,e._normSign()}if(0!==this.negative)return this.negative=0,this.iadd(t),this.negative=1,this._normSign();var r,n,i=this.cmp(t);if(0===i)return this.negative=0,this.length=1,this.words[0]=0,this;i>0?(r=this,n=t):(r=t,n=this);for(var o=0,s=0;s<n.length;s++)o=(e=(0|r.words[s])-(0|n.words[s])+o)>>26,this.words[s]=67108863&e;for(;0!==o&&s<r.length;s++)o=(e=(0|r.words[s])+o)>>26,this.words[s]=67108863&e;if(0===o&&s<r.length&&r!==this)for(;s<r.length;s++)this.words[s]=r.words[s];return this.length=Math.max(this.length,s),r!==this&&(this.negative=1),this.strip()},s.prototype.sub=function(t){return this.clone().isub(t)};var y=function(t,e,r){var n,i,o,s=t.words,a=e.words,u=r.words,h=0,f=0|s[0],c=8191&f,l=f>>>13,d=0|s[1],p=8191&d,y=d>>>13,m=0|s[2],b=8191&m,v=m>>>13,g=0|s[3],w=8191&g,_=g>>>13,M=0|s[4],S=8191&M,O=M>>>13,A=0|s[5],E=8191&A,x=A>>>13,k=0|s[6],j=8191&k,$=k>>>13,P=0|s[7],R=8191&P,B=P>>>13,T=0|s[8],I=8191&T,N=T>>>13,D=0|s[9],C=8191&D,L=D>>>13,q=0|a[0],U=8191&q,F=q>>>13,z=0|a[1],V=8191&z,K=z>>>13,H=0|a[2],Z=8191&H,W=H>>>13,J=0|a[3],Y=8191&J,Q=J>>>13,G=0|a[4],X=8191&G,tt=G>>>13,et=0|a[5],rt=8191&et,nt=et>>>13,it=0|a[6],ot=8191&it,st=it>>>13,at=0|a[7],ut=8191&at,ht=at>>>13,ft=0|a[8],ct=8191&ft,lt=ft>>>13,dt=0|a[9],pt=8191&dt,yt=dt>>>13;r.negative=t.negative^e.negative,r.length=19;var mt=(h+(n=Math.imul(c,U))|0)+((8191&(i=(i=Math.imul(c,F))+Math.imul(l,U)|0))<<13)|0;h=((o=Math.imul(l,F))+(i>>>13)|0)+(mt>>>26)|0,mt&=67108863,n=Math.imul(p,U),i=(i=Math.imul(p,F))+Math.imul(y,U)|0,o=Math.imul(y,F);var bt=(h+(n=n+Math.imul(c,V)|0)|0)+((8191&(i=(i=i+Math.imul(c,K)|0)+Math.imul(l,V)|0))<<13)|0;h=((o=o+Math.imul(l,K)|0)+(i>>>13)|0)+(bt>>>26)|0,bt&=67108863,n=Math.imul(b,U),i=(i=Math.imul(b,F))+Math.imul(v,U)|0,o=Math.imul(v,F),n=n+Math.imul(p,V)|0,i=(i=i+Math.imul(p,K)|0)+Math.imul(y,V)|0,o=o+Math.imul(y,K)|0;var vt=(h+(n=n+Math.imul(c,Z)|0)|0)+((8191&(i=(i=i+Math.imul(c,W)|0)+Math.imul(l,Z)|0))<<13)|0;h=((o=o+Math.imul(l,W)|0)+(i>>>13)|0)+(vt>>>26)|0,vt&=67108863,n=Math.imul(w,U),i=(i=Math.imul(w,F))+Math.imul(_,U)|0,o=Math.imul(_,F),n=n+Math.imul(b,V)|0,i=(i=i+Math.imul(b,K)|0)+Math.imul(v,V)|0,o=o+Math.imul(v,K)|0,n=n+Math.imul(p,Z)|0,i=(i=i+Math.imul(p,W)|0)+Math.imul(y,Z)|0,o=o+Math.imul(y,W)|0;var 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wt=(h+(n=n+Math.imul(c,X)|0)|0)+((8191&(i=(i=i+Math.imul(c,tt)|0)+Math.imul(l,X)|0))<<13)|0;h=((o=o+Math.imul(l,tt)|0)+(i>>>13)|0)+(wt>>>26)|0,wt&=67108863,n=Math.imul(E,U),i=(i=Math.imul(E,F))+Math.imul(x,U)|0,o=Math.imul(x,F),n=n+Math.imul(S,V)|0,i=(i=i+Math.imul(S,K)|0)+Math.imul(O,V)|0,o=o+Math.imul(O,K)|0,n=n+Math.imul(w,Z)|0,i=(i=i+Math.imul(w,W)|0)+Math.imul(_,Z)|0,o=o+Math.imul(_,W)|0,n=n+Math.imul(b,Y)|0,i=(i=i+Math.imul(b,Q)|0)+Math.imul(v,Y)|0,o=o+Math.imul(v,Q)|0,n=n+Math.imul(p,X)|0,i=(i=i+Math.imul(p,tt)|0)+Math.imul(y,X)|0,o=o+Math.imul(y,tt)|0;var _t=(h+(n=n+Math.imul(c,rt)|0)|0)+((8191&(i=(i=i+Math.imul(c,nt)|0)+Math.imul(l,rt)|0))<<13)|0;h=((o=o+Math.imul(l,nt)|0)+(i>>>13)|0)+(_t>>>26)|0,_t&=67108863,n=Math.imul(j,U),i=(i=Math.imul(j,F))+Math.imul($,U)|0,o=Math.imul($,F),n=n+Math.imul(E,V)|0,i=(i=i+Math.imul(E,K)|0)+Math.imul(x,V)|0,o=o+Math.imul(x,K)|0,n=n+Math.imul(S,Z)|0,i=(i=i+Math.imul(S,W)|0)+Math.imul(O,Z)|0,o=o+Math.imul(O,W)|0,n=n+Math.imul(w,Y)|0,i=(i=i+Math.imul(w,Q)|0)+Math.imul(_,Y)|0,o=o+Math.imul(_,Q)|0,n=n+Math.imul(b,X)|0,i=(i=i+Math.imul(b,tt)|0)+Math.imul(v,X)|0,o=o+Math.imul(v,tt)|0,n=n+Math.imul(p,rt)|0,i=(i=i+Math.imul(p,nt)|0)+Math.imul(y,rt)|0,o=o+Math.imul(y,nt)|0;var Mt=(h+(n=n+Math.imul(c,ot)|0)|0)+((8191&(i=(i=i+Math.imul(c,st)|0)+Math.imul(l,ot)|0))<<13)|0;h=((o=o+Math.imul(l,st)|0)+(i>>>13)|0)+(Mt>>>26)|0,Mt&=67108863,n=Math.imul(R,U),i=(i=Math.imul(R,F))+Math.imul(B,U)|0,o=Math.imul(B,F),n=n+Math.imul(j,V)|0,i=(i=i+Math.imul(j,K)|0)+Math.imul($,V)|0,o=o+Math.imul($,K)|0,n=n+Math.imul(E,Z)|0,i=(i=i+Math.imul(E,W)|0)+Math.imul(x,Z)|0,o=o+Math.imul(x,W)|0,n=n+Math.imul(S,Y)|0,i=(i=i+Math.imul(S,Q)|0)+Math.imul(O,Y)|0,o=o+Math.imul(O,Q)|0,n=n+Math.imul(w,X)|0,i=(i=i+Math.imul(w,tt)|0)+Math.imul(_,X)|0,o=o+Math.imul(_,tt)|0,n=n+Math.imul(b,rt)|0,i=(i=i+Math.imul(b,nt)|0)+Math.imul(v,rt)|0,o=o+Math.imul(v,nt)|0,n=n+Math.imul(p,ot)|0,i=(i=i+Math.imul(p,st)|0)+Math.imul(y,ot)|0,o=o+Math.imul(y,st)|0;var 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Ot=(h+(n=n+Math.imul(c,ct)|0)|0)+((8191&(i=(i=i+Math.imul(c,lt)|0)+Math.imul(l,ct)|0))<<13)|0;h=((o=o+Math.imul(l,lt)|0)+(i>>>13)|0)+(Ot>>>26)|0,Ot&=67108863,n=Math.imul(C,U),i=(i=Math.imul(C,F))+Math.imul(L,U)|0,o=Math.imul(L,F),n=n+Math.imul(I,V)|0,i=(i=i+Math.imul(I,K)|0)+Math.imul(N,V)|0,o=o+Math.imul(N,K)|0,n=n+Math.imul(R,Z)|0,i=(i=i+Math.imul(R,W)|0)+Math.imul(B,Z)|0,o=o+Math.imul(B,W)|0,n=n+Math.imul(j,Y)|0,i=(i=i+Math.imul(j,Q)|0)+Math.imul($,Y)|0,o=o+Math.imul($,Q)|0,n=n+Math.imul(E,X)|0,i=(i=i+Math.imul(E,tt)|0)+Math.imul(x,X)|0,o=o+Math.imul(x,tt)|0,n=n+Math.imul(S,rt)|0,i=(i=i+Math.imul(S,nt)|0)+Math.imul(O,rt)|0,o=o+Math.imul(O,nt)|0,n=n+Math.imul(w,ot)|0,i=(i=i+Math.imul(w,st)|0)+Math.imul(_,ot)|0,o=o+Math.imul(_,st)|0,n=n+Math.imul(b,ut)|0,i=(i=i+Math.imul(b,ht)|0)+Math.imul(v,ut)|0,o=o+Math.imul(v,ht)|0,n=n+Math.imul(p,ct)|0,i=(i=i+Math.imul(p,lt)|0)+Math.imul(y,ct)|0,o=o+Math.imul(y,lt)|0;var At=(h+(n=n+Math.imul(c,pt)|0)|0)+((8191&(i=(i=i+Math.imul(c,yt)|0)+Math.imul(l,pt)|0))<<13)|0;h=((o=o+Math.imul(l,yt)|0)+(i>>>13)|0)+(At>>>26)|0,At&=67108863,n=Math.imul(C,V),i=(i=Math.imul(C,K))+Math.imul(L,V)|0,o=Math.imul(L,K),n=n+Math.imul(I,Z)|0,i=(i=i+Math.imul(I,W)|0)+Math.imul(N,Z)|0,o=o+Math.imul(N,W)|0,n=n+Math.imul(R,Y)|0,i=(i=i+Math.imul(R,Q)|0)+Math.imul(B,Y)|0,o=o+Math.imul(B,Q)|0,n=n+Math.imul(j,X)|0,i=(i=i+Math.imul(j,tt)|0)+Math.imul($,X)|0,o=o+Math.imul($,tt)|0,n=n+Math.imul(E,rt)|0,i=(i=i+Math.imul(E,nt)|0)+Math.imul(x,rt)|0,o=o+Math.imul(x,nt)|0,n=n+Math.imul(S,ot)|0,i=(i=i+Math.imul(S,st)|0)+Math.imul(O,ot)|0,o=o+Math.imul(O,st)|0,n=n+Math.imul(w,ut)|0,i=(i=i+Math.imul(w,ht)|0)+Math.imul(_,ut)|0,o=o+Math.imul(_,ht)|0,n=n+Math.imul(b,ct)|0,i=(i=i+Math.imul(b,lt)|0)+Math.imul(v,ct)|0,o=o+Math.imul(v,lt)|0;var Et=(h+(n=n+Math.imul(p,pt)|0)|0)+((8191&(i=(i=i+Math.imul(p,yt)|0)+Math.imul(y,pt)|0))<<13)|0;h=((o=o+Math.imul(y,yt)|0)+(i>>>13)|0)+(Et>>>26)|0,Et&=67108863,n=Math.imul(C,Z),i=(i=Math.imul(C,W))+Math.imul(L,Z)|0,o=Math.imul(L,W),n=n+Math.imul(I,Y)|0,i=(i=i+Math.imul(I,Q)|0)+Math.imul(N,Y)|0,o=o+Math.imul(N,Q)|0,n=n+Math.imul(R,X)|0,i=(i=i+Math.imul(R,tt)|0)+Math.imul(B,X)|0,o=o+Math.imul(B,tt)|0,n=n+Math.imul(j,rt)|0,i=(i=i+Math.imul(j,nt)|0)+Math.imul($,rt)|0,o=o+Math.imul($,nt)|0,n=n+Math.imul(E,ot)|0,i=(i=i+Math.imul(E,st)|0)+Math.imul(x,ot)|0,o=o+Math.imul(x,st)|0,n=n+Math.imul(S,ut)|0,i=(i=i+Math.imul(S,ht)|0)+Math.imul(O,ut)|0,o=o+Math.imul(O,ht)|0,n=n+Math.imul(w,ct)|0,i=(i=i+Math.imul(w,lt)|0)+Math.imul(_,ct)|0,o=o+Math.imul(_,lt)|0;var xt=(h+(n=n+Math.imul(b,pt)|0)|0)+((8191&(i=(i=i+Math.imul(b,yt)|0)+Math.imul(v,pt)|0))<<13)|0;h=((o=o+Math.imul(v,yt)|0)+(i>>>13)|0)+(xt>>>26)|0,xt&=67108863,n=Math.imul(C,Y),i=(i=Math.imul(C,Q))+Math.imul(L,Y)|0,o=Math.imul(L,Q),n=n+Math.imul(I,X)|0,i=(i=i+Math.imul(I,tt)|0)+Math.imul(N,X)|0,o=o+Math.imul(N,tt)|0,n=n+Math.imul(R,rt)|0,i=(i=i+Math.imul(R,nt)|0)+Math.imul(B,rt)|0,o=o+Math.imul(B,nt)|0,n=n+Math.imul(j,ot)|0,i=(i=i+Math.imul(j,st)|0)+Math.imul($,ot)|0,o=o+Math.imul($,st)|0,n=n+Math.imul(E,ut)|0,i=(i=i+Math.imul(E,ht)|0)+Math.imul(x,ut)|0,o=o+Math.imul(x,ht)|0,n=n+Math.imul(S,ct)|0,i=(i=i+Math.imul(S,lt)|0)+Math.imul(O,ct)|0,o=o+Math.imul(O,lt)|0;var kt=(h+(n=n+Math.imul(w,pt)|0)|0)+((8191&(i=(i=i+Math.imul(w,yt)|0)+Math.imul(_,pt)|0))<<13)|0;h=((o=o+Math.imul(_,yt)|0)+(i>>>13)|0)+(kt>>>26)|0,kt&=67108863,n=Math.imul(C,X),i=(i=Math.imul(C,tt))+Math.imul(L,X)|0,o=Math.imul(L,tt),n=n+Math.imul(I,rt)|0,i=(i=i+Math.imul(I,nt)|0)+Math.imul(N,rt)|0,o=o+Math.imul(N,nt)|0,n=n+Math.imul(R,ot)|0,i=(i=i+Math.imul(R,st)|0)+Math.imul(B,ot)|0,o=o+Math.imul(B,st)|0,n=n+Math.imul(j,ut)|0,i=(i=i+Math.imul(j,ht)|0)+Math.imul($,ut)|0,o=o+Math.imul($,ht)|0,n=n+Math.imul(E,ct)|0,i=(i=i+Math.imul(E,lt)|0)+Math.imul(x,ct)|0,o=o+Math.imul(x,lt)|0;var jt=(h+(n=n+Math.imul(S,pt)|0)|0)+((8191&(i=(i=i+Math.imul(S,yt)|0)+Math.imul(O,pt)|0))<<13)|0;h=((o=o+Math.imul(O,yt)|0)+(i>>>13)|0)+(jt>>>26)|0,jt&=67108863,n=Math.imul(C,rt),i=(i=Math.imul(C,nt))+Math.imul(L,rt)|0,o=Math.imul(L,nt),n=n+Math.imul(I,ot)|0,i=(i=i+Math.imul(I,st)|0)+Math.imul(N,ot)|0,o=o+Math.imul(N,st)|0,n=n+Math.imul(R,ut)|0,i=(i=i+Math.imul(R,ht)|0)+Math.imul(B,ut)|0,o=o+Math.imul(B,ht)|0,n=n+Math.imul(j,ct)|0,i=(i=i+Math.imul(j,lt)|0)+Math.imul($,ct)|0,o=o+Math.imul($,lt)|0;var $t=(h+(n=n+Math.imul(E,pt)|0)|0)+((8191&(i=(i=i+Math.imul(E,yt)|0)+Math.imul(x,pt)|0))<<13)|0;h=((o=o+Math.imul(x,yt)|0)+(i>>>13)|0)+($t>>>26)|0,$t&=67108863,n=Math.imul(C,ot),i=(i=Math.imul(C,st))+Math.imul(L,ot)|0,o=Math.imul(L,st),n=n+Math.imul(I,ut)|0,i=(i=i+Math.imul(I,ht)|0)+Math.imul(N,ut)|0,o=o+Math.imul(N,ht)|0,n=n+Math.imul(R,ct)|0,i=(i=i+Math.imul(R,lt)|0)+Math.imul(B,ct)|0,o=o+Math.imul(B,lt)|0;var Pt=(h+(n=n+Math.imul(j,pt)|0)|0)+((8191&(i=(i=i+Math.imul(j,yt)|0)+Math.imul($,pt)|0))<<13)|0;h=((o=o+Math.imul($,yt)|0)+(i>>>13)|0)+(Pt>>>26)|0,Pt&=67108863,n=Math.imul(C,ut),i=(i=Math.imul(C,ht))+Math.imul(L,ut)|0,o=Math.imul(L,ht),n=n+Math.imul(I,ct)|0,i=(i=i+Math.imul(I,lt)|0)+Math.imul(N,ct)|0,o=o+Math.imul(N,lt)|0;var Rt=(h+(n=n+Math.imul(R,pt)|0)|0)+((8191&(i=(i=i+Math.imul(R,yt)|0)+Math.imul(B,pt)|0))<<13)|0;h=((o=o+Math.imul(B,yt)|0)+(i>>>13)|0)+(Rt>>>26)|0,Rt&=67108863,n=Math.imul(C,ct),i=(i=Math.imul(C,lt))+Math.imul(L,ct)|0,o=Math.imul(L,lt);var Bt=(h+(n=n+Math.imul(I,pt)|0)|0)+((8191&(i=(i=i+Math.imul(I,yt)|0)+Math.imul(N,pt)|0))<<13)|0;h=((o=o+Math.imul(N,yt)|0)+(i>>>13)|0)+(Bt>>>26)|0,Bt&=67108863;var Tt=(h+(n=Math.imul(C,pt))|0)+((8191&(i=(i=Math.imul(C,yt))+Math.imul(L,pt)|0))<<13)|0;return h=((o=Math.imul(L,yt))+(i>>>13)|0)+(Tt>>>26)|0,Tt&=67108863,u[0]=mt,u[1]=bt,u[2]=vt,u[3]=gt,u[4]=wt,u[5]=_t,u[6]=Mt,u[7]=St,u[8]=Ot,u[9]=At,u[10]=Et,u[11]=xt,u[12]=kt,u[13]=jt,u[14]=$t,u[15]=Pt,u[16]=Rt,u[17]=Bt,u[18]=Tt,0!==h&&(u[19]=h,r.length++),r};function m(t,e,r){return(new b).mulp(t,e,r)}function b(t,e){this.x=t,this.y=e}Math.imul||(y=p),s.prototype.mulTo=function(t,e){var r=this.length+t.length;return 10===this.length&&10===t.length?y(this,t,e):r<63?p(this,t,e):r<1024?function(t,e,r){r.negative=e.negative^t.negative,r.length=t.length+e.length;for(var n=0,i=0,o=0;o<r.length-1;o++){var s=i;i=0;for(var a=67108863&n,u=Math.min(o,e.length-1),h=Math.max(0,o-t.length+1);h<=u;h++){var f=o-h,c=(0|t.words[f])*(0|e.words[h]),l=67108863&c;a=67108863&(l=l+a|0),i+=(s=(s=s+(c/67108864|0)|0)+(l>>>26)|0)>>>26,s&=67108863}r.words[o]=a,n=s,s=i}return 0!==n?r.words[o]=n:r.length--,r.strip()}(this,t,e):m(this,t,e)},b.prototype.makeRBT=function(t){for(var e=new Array(t),r=s.prototype._countBits(t)-1,n=0;n<t;n++)e[n]=this.revBin(n,r,t);return e},b.prototype.revBin=function(t,e,r){if(0===t||t===r-1)return t;for(var n=0,i=0;i<e;i++)n|=(1&t)<<e-i-1,t>>=1;return n},b.prototype.permute=function(t,e,r,n,i,o){for(var s=0;s<o;s++)n[s]=e[t[s]],i[s]=r[t[s]]},b.prototype.transform=function(t,e,r,n,i,o){this.permute(o,t,e,r,n,i);for(var s=1;s<i;s<<=1)for(var a=s<<1,u=Math.cos(2*Math.PI/a),h=Math.sin(2*Math.PI/a),f=0;f<i;f+=a)for(var c=u,l=h,d=0;d<s;d++){var p=r[f+d],y=n[f+d],m=r[f+d+s],b=n[f+d+s],v=c*m-l*b;b=c*b+l*m,m=v,r[f+d]=p+m,n[f+d]=y+b,r[f+d+s]=p-m,n[f+d+s]=y-b,d!==a&&(v=u*c-h*l,l=u*l+h*c,c=v)}},b.prototype.guessLen13b=function(t,e){var r=1|Math.max(e,t),n=1&r,i=0;for(r=r/2|0;r;r>>>=1)i++;return 1<<i+1+n},b.prototype.conjugate=function(t,e,r){if(!(r<=1))for(var n=0;n<r/2;n++){var i=t[n];t[n]=t[r-n-1],t[r-n-1]=i,i=e[n],e[n]=-e[r-n-1],e[r-n-1]=-i}},b.prototype.normalize13b=function(t,e){for(var r=0,n=0;n<e/2;n++){var i=8192*Math.round(t[2*n+1]/e)+Math.round(t[2*n]/e)+r;t[n]=67108863&i,r=i<67108864?0:i/67108864|0}return t},b.prototype.convert13b=function(t,e,r,n){for(var o=0,s=0;s<e;s++)o+=0|t[s],r[2*s]=8191&o,o>>>=13,r[2*s+1]=8191&o,o>>>=13;for(s=2*e;s<n;++s)r[s]=0;i(0===o),i(0==(-8192&o))},b.prototype.stub=function(t){for(var e=new Array(t),r=0;r<t;r++)e[r]=0;return e},b.prototype.mulp=function(t,e,r){var n=2*this.guessLen13b(t.length,e.length),i=this.makeRBT(n),o=this.stub(n),s=new Array(n),a=new Array(n),u=new Array(n),h=new Array(n),f=new Array(n),c=new Array(n),l=r.words;l.length=n,this.convert13b(t.words,t.length,s,n),this.convert13b(e.words,e.length,h,n),this.transform(s,o,a,u,n,i),this.transform(h,o,f,c,n,i);for(var d=0;d<n;d++){var p=a[d]*f[d]-u[d]*c[d];u[d]=a[d]*c[d]+u[d]*f[d],a[d]=p}return this.conjugate(a,u,n),this.transform(a,u,l,o,n,i),this.conjugate(l,o,n),this.normalize13b(l,n),r.negative=t.negative^e.negative,r.length=t.length+e.length,r.strip()},s.prototype.mul=function(t){var e=new s(null);return e.words=new Array(this.length+t.length),this.mulTo(t,e)},s.prototype.mulf=function(t){var e=new s(null);return e.words=new Array(this.length+t.length),m(this,t,e)},s.prototype.imul=function(t){return this.clone().mulTo(t,this)},s.prototype.imuln=function(t){i("number"==typeof t),i(t<67108864);for(var e=0,r=0;r<this.length;r++){var n=(0|this.words[r])*t,o=(67108863&n)+(67108863&e);e>>=26,e+=n/67108864|0,e+=o>>>26,this.words[r]=67108863&o}return 0!==e&&(this.words[r]=e,this.length++),this},s.prototype.muln=function(t){return this.clone().imuln(t)},s.prototype.sqr=function(){return this.mul(this)},s.prototype.isqr=function(){return this.imul(this.clone())},s.prototype.pow=function(t){var e=function(t){for(var e=new Array(t.bitLength()),r=0;r<e.length;r++){var n=r/26|0,i=r%26;e[r]=(t.words[n]&1<<i)>>>i}return e}(t);if(0===e.length)return new s(1);for(var r=this,n=0;n<e.length&&0===e[n];n++,r=r.sqr());if(++n<e.length)for(var i=r.sqr();n<e.length;n++,i=i.sqr())0!==e[n]&&(r=r.mul(i));return r},s.prototype.iushln=function(t){i("number"==typeof t&&t>=0);var e,r=t%26,n=(t-r)/26,o=67108863>>>26-r<<26-r;if(0!==r){var s=0;for(e=0;e<this.length;e++){var a=this.words[e]&o,u=(0|this.words[e])-a<<r;this.words[e]=u|s,s=a>>>26-r}s&&(this.words[e]=s,this.length++)}if(0!==n){for(e=this.length-1;e>=0;e--)this.words[e+n]=this.words[e];for(e=0;e<n;e++)this.words[e]=0;this.length+=n}return this.strip()},s.prototype.ishln=function(t){return i(0===this.negative),this.iushln(t)},s.prototype.iushrn=function(t,e,r){var n;i("number"==typeof t&&t>=0),n=e?(e-e%26)/26:0;var o=t%26,s=Math.min((t-o)/26,this.length),a=67108863^67108863>>>o<<o,u=r;if(n-=s,n=Math.max(0,n),u){for(var h=0;h<s;h++)u.words[h]=this.words[h];u.length=s}if(0===s);else if(this.length>s)for(this.length-=s,h=0;h<this.length;h++)this.words[h]=this.words[h+s];else this.words[0]=0,this.length=1;var f=0;for(h=this.length-1;h>=0&&(0!==f||h>=n);h--){var c=0|this.words[h];this.words[h]=f<<26-o|c>>>o,f=c&a}return u&&0!==f&&(u.words[u.length++]=f),0===this.length&&(this.words[0]=0,this.length=1),this.strip()},s.prototype.ishrn=function(t,e,r){return i(0===this.negative),this.iushrn(t,e,r)},s.prototype.shln=function(t){return this.clone().ishln(t)},s.prototype.ushln=function(t){return this.clone().iushln(t)},s.prototype.shrn=function(t){return this.clone().ishrn(t)},s.prototype.ushrn=function(t){return this.clone().iushrn(t)},s.prototype.testn=function(t){i("number"==typeof t&&t>=0);var e=t%26,r=(t-e)/26,n=1<<e;return!(this.length<=r)&&!!(this.words[r]&n)},s.prototype.imaskn=function(t){i("number"==typeof t&&t>=0);var e=t%26,r=(t-e)/26;if(i(0===this.negative,"imaskn works only with positive numbers"),this.length<=r)return this;if(0!==e&&r++,this.length=Math.min(r,this.length),0!==e){var n=67108863^67108863>>>e<<e;this.words[this.length-1]&=n}return this.strip()},s.prototype.maskn=function(t){return this.clone().imaskn(t)},s.prototype.iaddn=function(t){return i("number"==typeof t),i(t<67108864),t<0?this.isubn(-t):0!==this.negative?1===this.length&&(0|this.words[0])<t?(this.words[0]=t-(0|this.words[0]),this.negative=0,this):(this.negative=0,this.isubn(t),this.negative=1,this):this._iaddn(t)},s.prototype._iaddn=function(t){this.words[0]+=t;for(var e=0;e<this.length&&this.words[e]>=67108864;e++)this.words[e]-=67108864,e===this.length-1?this.words[e+1]=1:this.words[e+1]++;return this.length=Math.max(this.length,e+1),this},s.prototype.isubn=function(t){if(i("number"==typeof t),i(t<67108864),t<0)return this.iaddn(-t);if(0!==this.negative)return this.negative=0,this.iaddn(t),this.negative=1,this;if(this.words[0]-=t,1===this.length&&this.words[0]<0)this.words[0]=-this.words[0],this.negative=1;else for(var e=0;e<this.length&&this.words[e]<0;e++)this.words[e]+=67108864,this.words[e+1]-=1;return this.strip()},s.prototype.addn=function(t){return this.clone().iaddn(t)},s.prototype.subn=function(t){return this.clone().isubn(t)},s.prototype.iabs=function(){return this.negative=0,this},s.prototype.abs=function(){return this.clone().iabs()},s.prototype._ishlnsubmul=function(t,e,r){var n,o,s=t.length+r;this._expand(s);var a=0;for(n=0;n<t.length;n++){o=(0|this.words[n+r])+a;var u=(0|t.words[n])*e;a=((o-=67108863&u)>>26)-(u/67108864|0),this.words[n+r]=67108863&o}for(;n<this.length-r;n++)a=(o=(0|this.words[n+r])+a)>>26,this.words[n+r]=67108863&o;if(0===a)return this.strip();for(i(-1===a),a=0,n=0;n<this.length;n++)a=(o=-(0|this.words[n])+a)>>26,this.words[n]=67108863&o;return this.negative=1,this.strip()},s.prototype._wordDiv=function(t,e){var r=(this.length,t.length),n=this.clone(),i=t,o=0|i.words[i.length-1];0!==(r=26-this._countBits(o))&&(i=i.ushln(r),n.iushln(r),o=0|i.words[i.length-1]);var a,u=n.length-i.length;if("mod"!==e){(a=new s(null)).length=u+1,a.words=new Array(a.length);for(var h=0;h<a.length;h++)a.words[h]=0}var f=n.clone()._ishlnsubmul(i,1,u);0===f.negative&&(n=f,a&&(a.words[u]=1));for(var c=u-1;c>=0;c--){var l=67108864*(0|n.words[i.length+c])+(0|n.words[i.length+c-1]);for(l=Math.min(l/o|0,67108863),n._ishlnsubmul(i,l,c);0!==n.negative;)l--,n.negative=0,n._ishlnsubmul(i,1,c),n.isZero()||(n.negative^=1);a&&(a.words[c]=l)}return a&&a.strip(),n.strip(),"div"!==e&&0!==r&&n.iushrn(r),{div:a||null,mod:n}},s.prototype.divmod=function(t,e,r){return i(!t.isZero()),this.isZero()?{div:new s(0),mod:new s(0)}:0!==this.negative&&0===t.negative?(a=this.neg().divmod(t,e),"mod"!==e&&(n=a.div.neg()),"div"!==e&&(o=a.mod.neg(),r&&0!==o.negative&&o.iadd(t)),{div:n,mod:o}):0===this.negative&&0!==t.negative?(a=this.divmod(t.neg(),e),"mod"!==e&&(n=a.div.neg()),{div:n,mod:a.mod}):0!=(this.negative&t.negative)?(a=this.neg().divmod(t.neg(),e),"div"!==e&&(o=a.mod.neg(),r&&0!==o.negative&&o.isub(t)),{div:a.div,mod:o}):t.length>this.length||this.cmp(t)<0?{div:new s(0),mod:this}:1===t.length?"div"===e?{div:this.divn(t.words[0]),mod:null}:"mod"===e?{div:null,mod:new s(this.modn(t.words[0]))}:{div:this.divn(t.words[0]),mod:new s(this.modn(t.words[0]))}:this._wordDiv(t,e);var n,o,a},s.prototype.div=function(t){return this.divmod(t,"div",!1).div},s.prototype.mod=function(t){return this.divmod(t,"mod",!1).mod},s.prototype.umod=function(t){return this.divmod(t,"mod",!0).mod},s.prototype.divRound=function(t){var e=this.divmod(t);if(e.mod.isZero())return e.div;var r=0!==e.div.negative?e.mod.isub(t):e.mod,n=t.ushrn(1),i=t.andln(1),o=r.cmp(n);return o<0||1===i&&0===o?e.div:0!==e.div.negative?e.div.isubn(1):e.div.iaddn(1)},s.prototype.modn=function(t){i(t<=67108863);for(var e=(1<<26)%t,r=0,n=this.length-1;n>=0;n--)r=(e*r+(0|this.words[n]))%t;return r},s.prototype.idivn=function(t){i(t<=67108863);for(var e=0,r=this.length-1;r>=0;r--){var n=(0|this.words[r])+67108864*e;this.words[r]=n/t|0,e=n%t}return this.strip()},s.prototype.divn=function(t){return 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this._expand(r+1),this.words[r]|=n,this;for(var o=n,s=r;0!==o&&s<this.length;s++){var a=0|this.words[s];o=(a+=o)>>>26,a&=67108863,this.words[s]=a}return 0!==o&&(this.words[s]=o,this.length++),this},s.prototype.isZero=function(){return 1===this.length&&0===this.words[0]},s.prototype.cmpn=function(t){var e,r=t<0;if(0!==this.negative&&!r)return-1;if(0===this.negative&&r)return 1;if(this.strip(),this.length>1)e=1;else{r&&(t=-t),i(t<=67108863,"Number is too big");var n=0|this.words[0];e=n===t?0:n<t?-1:1}return 0!==this.negative?0|-e:e},s.prototype.cmp=function(t){if(0!==this.negative&&0===t.negative)return-1;if(0===this.negative&&0!==t.negative)return 1;var e=this.ucmp(t);return 0!==this.negative?0|-e:e},s.prototype.ucmp=function(t){if(this.length>t.length)return 1;if(this.length<t.length)return-1;for(var e=0,r=this.length-1;r>=0;r--){var n=0|this.words[r],i=0|t.words[r];if(n!==i){n<i?e=-1:n>i&&(e=1);break}}return e},s.prototype.gtn=function(t){return 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Copyright (c) Microsoft Corporation.

Permission to use, copy, modify, and/or distribute this software for any
purpose with or without fee is hereby granted.

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AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY SPECIAL, DIRECT,
INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM
LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR
OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
PERFORMANCE OF THIS SOFTWARE.
***************************************************************************** */
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b=t-6176;if(h.parts[0]=(16383&y)+((15&i)<<14),h.parts[1]=p,h.parts[2]=d,h.parts[3]=l,0===h.parts[0]&&0===h.parts[1]&&0===h.parts[2]&&0===h.parts[3])u=!0;else for(s=3;s>=0;s--){var v=0,g=at(h);if(h=g.quotient,v=g.rem.low)for(o=8;o>=0;o--)r[9*s+o]=v%10,v=Math.floor(v/10)}if(u)e=1,r[a]=0;else for(e=36;!r[a];)e-=1,a+=1;var w=e-1+b;if(w>=34||w<=-7||b>0){if(e>34)return f.push("0"),b>0?f.push("E+"+b):b<0&&f.push("E"+b),f.join("");f.push(""+r[a++]),(e-=1)&&f.push(".");for(n=0;n<e;n++)f.push(""+r[a++]);f.push("E"),w>0?f.push("+"+w):f.push(""+w)}else if(b>=0)for(n=0;n<e;n++)f.push(""+r[a++]);else{var _=e+b;if(_>0)for(n=0;n<_;n++)f.push(""+r[a++]);else f.push("0");for(f.push(".");_++<0;)f.push("0");for(n=0;n<e-Math.max(_-1,0);n++)f.push(""+r[a++])}return f.join("")},t.prototype.toJSON=function(){return{$numberDecimal:this.toString()}},t.prototype.toExtendedJSON=function(){return{$numberDecimal:this.toString()}},t.fromExtendedJSON=function(e){return t.fromString(e.$numberDecimal)},t.prototype[Symbol.for("nodejs.util.inspect.custom")]=function(){return this.inspect()},t.prototype.inspect=function(){return'new Decimal128("'+this.toString()+'")'},t}();Object.defineProperty(ht.prototype,"_bsontype",{value:"Decimal128"});var ft=function(){function t(e){if(!(this instanceof t))return new t(e);e instanceof Number&&(e=e.valueOf()),this.value=+e}return t.prototype.valueOf=function(){return this.value},t.prototype.toJSON=function(){return this.value},t.prototype.toString=function(t){return this.value.toString(t)},t.prototype.toExtendedJSON=function(t){return t&&(t.legacy||t.relaxed&&isFinite(this.value))?this.value:Object.is(Math.sign(this.value),-0)?{$numberDouble:"-"+this.value.toFixed(1)}:(Number.isInteger(this.value)?(e=this.value.toFixed(1)).length>=13&&(e=this.value.toExponential(13).toUpperCase()):e=this.value.toString(),{$numberDouble:e});var e},t.fromExtendedJSON=function(e,r){var n=parseFloat(e.$numberDouble);return r&&r.relaxed?n:new t(n)},t.prototype[Symbol.for("nodejs.util.inspect.custom")]=function(){return this.inspect()},t.prototype.inspect=function(){return"new Double("+this.toExtendedJSON().$numberDouble+")"},t}();Object.defineProperty(ft.prototype,"_bsontype",{value:"Double"});var ct=function(){function t(e){if(!(this instanceof t))return new t(e);e instanceof Number&&(e=e.valueOf()),this.value=0|+e}return t.prototype.valueOf=function(){return this.value},t.prototype.toString=function(t){return this.value.toString(t)},t.prototype.toJSON=function(){return this.value},t.prototype.toExtendedJSON=function(t){return t&&(t.relaxed||t.legacy)?this.value:{$numberInt:this.value.toString()}},t.fromExtendedJSON=function(e,r){return r&&r.relaxed?parseInt(e.$numberInt,10):new t(e.$numberInt)},t.prototype[Symbol.for("nodejs.util.inspect.custom")]=function(){return this.inspect()},t.prototype.inspect=function(){return"new Int32("+this.valueOf()+")"},t}();Object.defineProperty(ct.prototype,"_bsontype",{value:"Int32"});var lt=function(){function t(){if(!(this instanceof t))return new t}return t.prototype.toExtendedJSON=function(){return{$maxKey:1}},t.fromExtendedJSON=function(){return new t},t.prototype[Symbol.for("nodejs.util.inspect.custom")]=function(){return this.inspect()},t.prototype.inspect=function(){return"new MaxKey()"},t}();Object.defineProperty(lt.prototype,"_bsontype",{value:"MaxKey"});var dt=function(){function t(){if(!(this instanceof t))return new t}return t.prototype.toExtendedJSON=function(){return{$minKey:1}},t.fromExtendedJSON=function(){return new t},t.prototype[Symbol.for("nodejs.util.inspect.custom")]=function(){return this.inspect()},t.prototype.inspect=function(){return"new MinKey()"},t}();Object.defineProperty(dt.prototype,"_bsontype",{value:"MinKey"});var pt=new RegExp("^[0-9a-fA-F]{24}$"),yt=null,mt=Symbol("id"),bt=function(){function t(e){if(!(this instanceof t))return new t(e);var r;if("object"===n(e)&&e&&"id"in e){if("string"!=typeof e.id&&!ArrayBuffer.isView(e.id))throw new O("Argument passed in must have an id that is of type string or Buffer");r="toHexString"in e&&"function"==typeof e.toHexString?g.from(e.toHexString(),"hex"):e.id}else r=e;if(null==r||"number"==typeof r)this[mt]=t.generate("number"==typeof r?r:void 0);else if(ArrayBuffer.isView(r)&&12===r.byteLength)this[mt]=C(r);else{if("string"!=typeof r)throw new O("Argument passed in does not match the accepted types");if(12===r.length){var i=g.from(r);if(12!==i.byteLength)throw new O("Argument passed in must be a string of 12 bytes");this[mt]=i}else{if(24!==r.length||!pt.test(r))throw new O("Argument passed in must be a string of 12 bytes or a string of 24 hex characters");this[mt]=g.from(r,"hex")}}t.cacheHexString&&(this.__id=this.id.toString("hex"))}return Object.defineProperty(t.prototype,"id",{get:function(){return this[mt]},set:function(e){this[mt]=e,t.cacheHexString&&(this.__id=e.toString("hex"))},enumerable:!1,configurable:!0}),Object.defineProperty(t.prototype,"generationTime",{get:function(){return this.id.readInt32BE(0)},set:function(t){this.id.writeUInt32BE(t,0)},enumerable:!1,configurable:!0}),t.prototype.toHexString=function(){if(t.cacheHexString&&this.__id)return this.__id;var e=this.id.toString("hex");return t.cacheHexString&&!this.__id&&(this.__id=e),e},t.getInc=function(){return t.index=(t.index+1)%16777215},t.generate=function(e){"number"!=typeof e&&(e=Math.floor(Date.now()/1e3));var r=t.getInc(),n=g.alloc(12);return n.writeUInt32BE(e,0),null===yt&&(yt=j(5)),n[4]=yt[0],n[5]=yt[1],n[6]=yt[2],n[7]=yt[3],n[8]=yt[4],n[11]=255&r,n[10]=r>>8&255,n[9]=r>>16&255,n},t.prototype.toString=function(t){return t?this.id.toString(t):this.toHexString()},t.prototype.toJSON=function(){return this.toHexString()},t.prototype.equals=function(e){return null!=e&&(e instanceof t?this.toString()===e.toString():"string"==typeof e&&t.isValid(e)&&12===e.length&&P(this.id)?e===g.prototype.toString.call(this.id,"latin1"):"string"==typeof e&&t.isValid(e)&&24===e.length?e.toLowerCase()===this.toHexString():"string"==typeof e&&t.isValid(e)&&12===e.length?g.from(e).equals(this.id):"object"===n(e)&&"toHexString"in e&&"function"==typeof e.toHexString&&e.toHexString()===this.toHexString())},t.prototype.getTimestamp=function(){var t=new Date,e=this.id.readUInt32BE(0);return t.setTime(1e3*Math.floor(e)),t},t.createPk=function(){return new t},t.createFromTime=function(e){var r=g.from([0,0,0,0,0,0,0,0,0,0,0,0]);return r.writeUInt32BE(e,0),new t(r)},t.createFromHexString=function(e){if(void 0===e||null!=e&&24!==e.length)throw new O("Argument passed in must be a single String of 12 bytes or a string of 24 hex characters");return new t(g.from(e,"hex"))},t.isValid=function(e){if(null==e)return!1;try{return new t(e),!0}catch(t){return!1}},t.prototype.toExtendedJSON=function(){return this.toHexString?{$oid:this.toHexString()}:{$oid:this.toString("hex")}},t.fromExtendedJSON=function(e){return new t(e.$oid)},t.prototype[Symbol.for("nodejs.util.inspect.custom")]=function(){return this.inspect()},t.prototype.inspect=function(){return'new ObjectId("'+this.toHexString()+'")'},t.index=Math.floor(16777215*Math.random()),t}();Object.defineProperty(bt.prototype,"generate",{value:D((function(t){return bt.generate(t)}),"Please use the static `ObjectId.generate(time)` instead")}),Object.defineProperty(bt.prototype,"getInc",{value:D((function(){return bt.getInc()}),"Please use the static `ObjectId.getInc()` instead")}),Object.defineProperty(bt.prototype,"get_inc",{value:D((function(){return bt.getInc()}),"Please use the static `ObjectId.getInc()` instead")}),Object.defineProperty(bt,"get_inc",{value:D((function(){return bt.getInc()}),"Please use the static `ObjectId.getInc()` 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t?t.split("").sort().join(""):""},t.prototype.toExtendedJSON=function(t){return(t=t||{}).legacy?{$regex:this.pattern,$options:this.options}:{$regularExpression:{pattern:this.pattern,options:this.options}}},t.fromExtendedJSON=function(e){if("$regex"in e){if("string"==typeof e.$regex)return new t(e.$regex,t.parseOptions(e.$options));if("BSONRegExp"===e.$regex._bsontype)return e}if("$regularExpression"in e)return new t(e.$regularExpression.pattern,t.parseOptions(e.$regularExpression.options));throw new O("Unexpected BSONRegExp EJSON object form: "+JSON.stringify(e))},t}();Object.defineProperty(vt.prototype,"_bsontype",{value:"BSONRegExp"});var gt=function(){function t(e){if(!(this instanceof t))return new t(e);this.value=e}return t.prototype.valueOf=function(){return this.value},t.prototype.toString=function(){return this.value},t.prototype.inspect=function(){return'new BSONSymbol("'+this.value+'")'},t.prototype.toJSON=function(){return this.value},t.prototype.toExtendedJSON=function(){return{$symbol:this.value}},t.fromExtendedJSON=function(e){return new t(e.$symbol)},t.prototype[Symbol.for("nodejs.util.inspect.custom")]=function(){return this.inspect()},t}();Object.defineProperty(gt.prototype,"_bsontype",{value:"Symbol"});var wt=G,_t=function(t){function e(r,n){var i=this;return i instanceof e?(i=G.isLong(r)?t.call(this,r.low,r.high,!0)||this:N(r)&&void 0!==r.t&&void 0!==r.i?t.call(this,r.i,r.t,!0)||this:t.call(this,r,n,!0)||this,Object.defineProperty(i,"_bsontype",{value:"Timestamp",writable:!1,configurable:!1,enumerable:!1}),i):new e(r,n)}return _(e,t),e.prototype.toJSON=function(){return{$timestamp:this.toString()}},e.fromInt=function(t){return new e(G.fromInt(t,!0))},e.fromNumber=function(t){return new e(G.fromNumber(t,!0))},e.fromBits=function(t,r){return new e(t,r)},e.fromString=function(t,r){return new 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d=t>=-0x8000000000000000&&t<=0x8000000000000000;if(t>=-2147483648&&t<=2147483647)return{$numberInt:t.toString()};if(d)return{$numberLong:t.toString()}}return{$numberDouble:t.toString()}}if(t instanceof RegExp||T(t)){var p=t.flags;if(void 0===p){var y=t.toString().match(/[gimuy]*$/);y&&(p=y[0])}return new vt(t.source,p).toExtendedJSON(e)}return null!=t&&"object"===n(t)?function(t,e){if(null==t||"object"!==n(t))throw new S("not an object instance");var r=t._bsontype;if(void 0===r){var i={};for(var o in t){e.seenObjects.push({propertyName:o,obj:null});try{i[o]=At(t[o],e)}finally{e.seenObjects.pop()}}return i}if(Mt(t)){var s=t;if("function"!=typeof s.toExtendedJSON){var a=kt[t._bsontype];if(!a)throw new O("Unrecognized or invalid _bsontype: "+t._bsontype);s=a(s)}return"Code"===r&&s.scope?s=new H(s.code,At(s.scope,e)):"DBRef"===r&&s.oid&&(s=new W(At(s.collection,e),At(s.oid,e),At(s.db,e),At(s.fields,e))),s.toExtendedJSON(e)}throw new S("_bsontype must be a string, but was: 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null!=e.scope&&Object.keys(e.scope).length>0?(null!=t?g.byteLength(t,"utf8")+1:0)+1+4+4+g.byteLength(e.code.toString(),"utf8")+1+le(e.scope,r,o):(null!=t?g.byteLength(t,"utf8")+1:0)+1+4+g.byteLength(e.code.toString(),"utf8")+1;if("Binary"===e._bsontype)return e.sub_type===K.SUBTYPE_BYTE_ARRAY?(null!=t?g.byteLength(t,"utf8")+1:0)+(e.position+1+4+1+4):(null!=t?g.byteLength(t,"utf8")+1:0)+(e.position+1+4+1);if("Symbol"===e._bsontype)return(null!=t?g.byteLength(t,"utf8")+1:0)+g.byteLength(e.value,"utf8")+4+1+1;if("DBRef"===e._bsontype){var s=Object.assign({$ref:e.collection,$id:e.oid},e.fields);return null!=e.db&&(s.$db=e.db),(null!=t?g.byteLength(t,"utf8")+1:0)+1+le(s,r,o)}return e instanceof 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rt=e.toString("utf8",r,P);for(P=r=P+1;0!==e[P]&&P<e.length;)P++;if(P>=e.length)throw new S("Bad BSON Document: illegal CString");var nt=e.toString("utf8",r,P);r=P+1;var it=new Array(nt.length);for(P=0;P<nt.length;P++)switch(nt[P]){case"m":it[P]="m";break;case"s":it[P]="g";break;case"i":it[P]="i"}T=new RegExp(rt,it.join(""))}else if($===Ht&&!0===f){for(P=r;0!==e[P]&&P<e.length;)P++;if(P>=e.length)throw new S("Bad BSON Document: illegal CString");rt=e.toString("utf8",r,P);for(P=r=P+1;0!==e[P]&&P<e.length;)P++;if(P>=e.length)throw new S("Bad BSON Document: illegal CString");nt=e.toString("utf8",r,P);r=P+1,T=new vt(rt,nt)}else if($===Jt){if((pt=e[r++]|e[r++]<<8|e[r++]<<16|e[r++]<<24)<=0||pt>e.length-r||0!==e[r+pt-1])throw new S("bad string length in bson");var ot=_e(e,r,r+pt-1,B);T=d?ot:new gt(ot),r+=pt}else if($===Gt){N=e[r++]|e[r++]<<8|e[r++]<<16|e[r++]<<24,D=e[r++]|e[r++]<<8|e[r++]<<16|e[r++]<<24;T=new _t(N,D)}else if($===ee)T=new dt;else if($===re)T=new lt;else 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o=0,s=0;s<n.length;s++)o=(e=(0|r.words[s])-(0|n.words[s])+o)>>26,this.words[s]=67108863&e;for(;0!==o&&s<r.length;s++)o=(e=(0|r.words[s])+o)>>26,this.words[s]=67108863&e;if(0===o&&s<r.length&&r!==this)for(;s<r.length;s++)this.words[s]=r.words[s];return this.length=Math.max(this.length,s),r!==this&&(this.negative=1),this._strip()},s.prototype.sub=function(t){return this.clone().isub(t)};var b=function(t,e,r){var n,i,o,s=t.words,a=e.words,u=r.words,h=0,f=0|s[0],c=8191&f,l=f>>>13,d=0|s[1],p=8191&d,y=d>>>13,m=0|s[2],b=8191&m,v=m>>>13,g=0|s[3],w=8191&g,_=g>>>13,M=0|s[4],S=8191&M,O=M>>>13,A=0|s[5],E=8191&A,x=A>>>13,k=0|s[6],j=8191&k,$=k>>>13,P=0|s[7],R=8191&P,B=P>>>13,T=0|s[8],I=8191&T,N=T>>>13,D=0|s[9],C=8191&D,L=D>>>13,q=0|a[0],U=8191&q,F=q>>>13,z=0|a[1],V=8191&z,K=z>>>13,H=0|a[2],Z=8191&H,W=H>>>13,J=0|a[3],Y=8191&J,Q=J>>>13,G=0|a[4],X=8191&G,tt=G>>>13,et=0|a[5],rt=8191&et,nt=et>>>13,it=0|a[6],ot=8191&it,st=it>>>13,at=0|a[7],ut=8191&at,ht=at>>>13,ft=0|a[8],ct=8191&ft,lt=ft>>>13,dt=0|a[9],pt=8191&dt,yt=dt>>>13;r.negative=t.negative^e.negative,r.length=19;var mt=(h+(n=Math.imul(c,U))|0)+((8191&(i=(i=Math.imul(c,F))+Math.imul(l,U)|0))<<13)|0;h=((o=Math.imul(l,F))+(i>>>13)|0)+(mt>>>26)|0,mt&=67108863,n=Math.imul(p,U),i=(i=Math.imul(p,F))+Math.imul(y,U)|0,o=Math.imul(y,F);var bt=(h+(n=n+Math.imul(c,V)|0)|0)+((8191&(i=(i=i+Math.imul(c,K)|0)+Math.imul(l,V)|0))<<13)|0;h=((o=o+Math.imul(l,K)|0)+(i>>>13)|0)+(bt>>>26)|0,bt&=67108863,n=Math.imul(b,U),i=(i=Math.imul(b,F))+Math.imul(v,U)|0,o=Math.imul(v,F),n=n+Math.imul(p,V)|0,i=(i=i+Math.imul(p,K)|0)+Math.imul(y,V)|0,o=o+Math.imul(y,K)|0;var vt=(h+(n=n+Math.imul(c,Z)|0)|0)+((8191&(i=(i=i+Math.imul(c,W)|0)+Math.imul(l,Z)|0))<<13)|0;h=((o=o+Math.imul(l,W)|0)+(i>>>13)|0)+(vt>>>26)|0,vt&=67108863,n=Math.imul(w,U),i=(i=Math.imul(w,F))+Math.imul(_,U)|0,o=Math.imul(_,F),n=n+Math.imul(b,V)|0,i=(i=i+Math.imul(b,K)|0)+Math.imul(v,V)|0,o=o+Math.imul(v,K)|0,n=n+Math.imul(p,Z)|0,i=(i=i+Math.imul(p,W)|0)+Math.imul(y,Z)|0,o=o+Math.imul(y,W)|0;var gt=(h+(n=n+Math.imul(c,Y)|0)|0)+((8191&(i=(i=i+Math.imul(c,Q)|0)+Math.imul(l,Y)|0))<<13)|0;h=((o=o+Math.imul(l,Q)|0)+(i>>>13)|0)+(gt>>>26)|0,gt&=67108863,n=Math.imul(S,U),i=(i=Math.imul(S,F))+Math.imul(O,U)|0,o=Math.imul(O,F),n=n+Math.imul(w,V)|0,i=(i=i+Math.imul(w,K)|0)+Math.imul(_,V)|0,o=o+Math.imul(_,K)|0,n=n+Math.imul(b,Z)|0,i=(i=i+Math.imul(b,W)|0)+Math.imul(v,Z)|0,o=o+Math.imul(v,W)|0,n=n+Math.imul(p,Y)|0,i=(i=i+Math.imul(p,Q)|0)+Math.imul(y,Y)|0,o=o+Math.imul(y,Q)|0;var wt=(h+(n=n+Math.imul(c,X)|0)|0)+((8191&(i=(i=i+Math.imul(c,tt)|0)+Math.imul(l,X)|0))<<13)|0;h=((o=o+Math.imul(l,tt)|0)+(i>>>13)|0)+(wt>>>26)|0,wt&=67108863,n=Math.imul(E,U),i=(i=Math.imul(E,F))+Math.imul(x,U)|0,o=Math.imul(x,F),n=n+Math.imul(S,V)|0,i=(i=i+Math.imul(S,K)|0)+Math.imul(O,V)|0,o=o+Math.imul(O,K)|0,n=n+Math.imul(w,Z)|0,i=(i=i+Math.imul(w,W)|0)+Math.imul(_,Z)|0,o=o+Math.imul(_,W)|0,n=n+Math.imul(b,Y)|0,i=(i=i+Math.imul(b,Q)|0)+Math.imul(v,Y)|0,o=o+Math.imul(v,Q)|0,n=n+Math.imul(p,X)|0,i=(i=i+Math.imul(p,tt)|0)+Math.imul(y,X)|0,o=o+Math.imul(y,tt)|0;var _t=(h+(n=n+Math.imul(c,rt)|0)|0)+((8191&(i=(i=i+Math.imul(c,nt)|0)+Math.imul(l,rt)|0))<<13)|0;h=((o=o+Math.imul(l,nt)|0)+(i>>>13)|0)+(_t>>>26)|0,_t&=67108863,n=Math.imul(j,U),i=(i=Math.imul(j,F))+Math.imul($,U)|0,o=Math.imul($,F),n=n+Math.imul(E,V)|0,i=(i=i+Math.imul(E,K)|0)+Math.imul(x,V)|0,o=o+Math.imul(x,K)|0,n=n+Math.imul(S,Z)|0,i=(i=i+Math.imul(S,W)|0)+Math.imul(O,Z)|0,o=o+Math.imul(O,W)|0,n=n+Math.imul(w,Y)|0,i=(i=i+Math.imul(w,Q)|0)+Math.imul(_,Y)|0,o=o+Math.imul(_,Q)|0,n=n+Math.imul(b,X)|0,i=(i=i+Math.imul(b,tt)|0)+Math.imul(v,X)|0,o=o+Math.imul(v,tt)|0,n=n+Math.imul(p,rt)|0,i=(i=i+Math.imul(p,nt)|0)+Math.imul(y,rt)|0,o=o+Math.imul(y,nt)|0;var Mt=(h+(n=n+Math.imul(c,ot)|0)|0)+((8191&(i=(i=i+Math.imul(c,st)|0)+Math.imul(l,ot)|0))<<13)|0;h=((o=o+Math.imul(l,st)|0)+(i>>>13)|0)+(Mt>>>26)|0,Mt&=67108863,n=Math.imul(R,U),i=(i=Math.imul(R,F))+Math.imul(B,U)|0,o=Math.imul(B,F),n=n+Math.imul(j,V)|0,i=(i=i+Math.imul(j,K)|0)+Math.imul($,V)|0,o=o+Math.imul($,K)|0,n=n+Math.imul(E,Z)|0,i=(i=i+Math.imul(E,W)|0)+Math.imul(x,Z)|0,o=o+Math.imul(x,W)|0,n=n+Math.imul(S,Y)|0,i=(i=i+Math.imul(S,Q)|0)+Math.imul(O,Y)|0,o=o+Math.imul(O,Q)|0,n=n+Math.imul(w,X)|0,i=(i=i+Math.imul(w,tt)|0)+Math.imul(_,X)|0,o=o+Math.imul(_,tt)|0,n=n+Math.imul(b,rt)|0,i=(i=i+Math.imul(b,nt)|0)+Math.imul(v,rt)|0,o=o+Math.imul(v,nt)|0,n=n+Math.imul(p,ot)|0,i=(i=i+Math.imul(p,st)|0)+Math.imul(y,ot)|0,o=o+Math.imul(y,st)|0;var St=(h+(n=n+Math.imul(c,ut)|0)|0)+((8191&(i=(i=i+Math.imul(c,ht)|0)+Math.imul(l,ut)|0))<<13)|0;h=((o=o+Math.imul(l,ht)|0)+(i>>>13)|0)+(St>>>26)|0,St&=67108863,n=Math.imul(I,U),i=(i=Math.imul(I,F))+Math.imul(N,U)|0,o=Math.imul(N,F),n=n+Math.imul(R,V)|0,i=(i=i+Math.imul(R,K)|0)+Math.imul(B,V)|0,o=o+Math.imul(B,K)|0,n=n+Math.imul(j,Z)|0,i=(i=i+Math.imul(j,W)|0)+Math.imul($,Z)|0,o=o+Math.imul($,W)|0,n=n+Math.imul(E,Y)|0,i=(i=i+Math.imul(E,Q)|0)+Math.imul(x,Y)|0,o=o+Math.imul(x,Q)|0,n=n+Math.imul(S,X)|0,i=(i=i+Math.imul(S,tt)|0)+Math.imul(O,X)|0,o=o+Math.imul(O,tt)|0,n=n+Math.imul(w,rt)|0,i=(i=i+Math.imul(w,nt)|0)+Math.imul(_,rt)|0,o=o+Math.imul(_,nt)|0,n=n+Math.imul(b,ot)|0,i=(i=i+Math.imul(b,st)|0)+Math.imul(v,ot)|0,o=o+Math.imul(v,st)|0,n=n+Math.imul(p,ut)|0,i=(i=i+Math.imul(p,ht)|0)+Math.imul(y,ut)|0,o=o+Math.imul(y,ht)|0;var Ot=(h+(n=n+Math.imul(c,ct)|0)|0)+((8191&(i=(i=i+Math.imul(c,lt)|0)+Math.imul(l,ct)|0))<<13)|0;h=((o=o+Math.imul(l,lt)|0)+(i>>>13)|0)+(Ot>>>26)|0,Ot&=67108863,n=Math.imul(C,U),i=(i=Math.imul(C,F))+Math.imul(L,U)|0,o=Math.imul(L,F),n=n+Math.imul(I,V)|0,i=(i=i+Math.imul(I,K)|0)+Math.imul(N,V)|0,o=o+Math.imul(N,K)|0,n=n+Math.imul(R,Z)|0,i=(i=i+Math.imul(R,W)|0)+Math.imul(B,Z)|0,o=o+Math.imul(B,W)|0,n=n+Math.imul(j,Y)|0,i=(i=i+Math.imul(j,Q)|0)+Math.imul($,Y)|0,o=o+Math.imul($,Q)|0,n=n+Math.imul(E,X)|0,i=(i=i+Math.imul(E,tt)|0)+Math.imul(x,X)|0,o=o+Math.imul(x,tt)|0,n=n+Math.imul(S,rt)|0,i=(i=i+Math.imul(S,nt)|0)+Math.imul(O,rt)|0,o=o+Math.imul(O,nt)|0,n=n+Math.imul(w,ot)|0,i=(i=i+Math.imul(w,st)|0)+Math.imul(_,ot)|0,o=o+Math.imul(_,st)|0,n=n+Math.imul(b,ut)|0,i=(i=i+Math.imul(b,ht)|0)+Math.imul(v,ut)|0,o=o+Math.imul(v,ht)|0,n=n+Math.imul(p,ct)|0,i=(i=i+Math.imul(p,lt)|0)+Math.imul(y,ct)|0,o=o+Math.imul(y,lt)|0;var At=(h+(n=n+Math.imul(c,pt)|0)|0)+((8191&(i=(i=i+Math.imul(c,yt)|0)+Math.imul(l,pt)|0))<<13)|0;h=((o=o+Math.imul(l,yt)|0)+(i>>>13)|0)+(At>>>26)|0,At&=67108863,n=Math.imul(C,V),i=(i=Math.imul(C,K))+Math.imul(L,V)|0,o=Math.imul(L,K),n=n+Math.imul(I,Z)|0,i=(i=i+Math.imul(I,W)|0)+Math.imul(N,Z)|0,o=o+Math.imul(N,W)|0,n=n+Math.imul(R,Y)|0,i=(i=i+Math.imul(R,Q)|0)+Math.imul(B,Y)|0,o=o+Math.imul(B,Q)|0,n=n+Math.imul(j,X)|0,i=(i=i+Math.imul(j,tt)|0)+Math.imul($,X)|0,o=o+Math.imul($,tt)|0,n=n+Math.imul(E,rt)|0,i=(i=i+Math.imul(E,nt)|0)+Math.imul(x,rt)|0,o=o+Math.imul(x,nt)|0,n=n+Math.imul(S,ot)|0,i=(i=i+Math.imul(S,st)|0)+Math.imul(O,ot)|0,o=o+Math.imul(O,st)|0,n=n+Math.imul(w,ut)|0,i=(i=i+Math.imul(w,ht)|0)+Math.imul(_,ut)|0,o=o+Math.imul(_,ht)|0,n=n+Math.imul(b,ct)|0,i=(i=i+Math.imul(b,lt)|0)+Math.imul(v,ct)|0,o=o+Math.imul(v,lt)|0;var Et=(h+(n=n+Math.imul(p,pt)|0)|0)+((8191&(i=(i=i+Math.imul(p,yt)|0)+Math.imul(y,pt)|0))<<13)|0;h=((o=o+Math.imul(y,yt)|0)+(i>>>13)|0)+(Et>>>26)|0,Et&=67108863,n=Math.imul(C,Z),i=(i=Math.imul(C,W))+Math.imul(L,Z)|0,o=Math.imul(L,W),n=n+Math.imul(I,Y)|0,i=(i=i+Math.imul(I,Q)|0)+Math.imul(N,Y)|0,o=o+Math.imul(N,Q)|0,n=n+Math.imul(R,X)|0,i=(i=i+Math.imul(R,tt)|0)+Math.imul(B,X)|0,o=o+Math.imul(B,tt)|0,n=n+Math.imul(j,rt)|0,i=(i=i+Math.imul(j,nt)|0)+Math.imul($,rt)|0,o=o+Math.imul($,nt)|0,n=n+Math.imul(E,ot)|0,i=(i=i+Math.imul(E,st)|0)+Math.imul(x,ot)|0,o=o+Math.imul(x,st)|0,n=n+Math.imul(S,ut)|0,i=(i=i+Math.imul(S,ht)|0)+Math.imul(O,ut)|0,o=o+Math.imul(O,ht)|0,n=n+Math.imul(w,ct)|0,i=(i=i+Math.imul(w,lt)|0)+Math.imul(_,ct)|0,o=o+Math.imul(_,lt)|0;var xt=(h+(n=n+Math.imul(b,pt)|0)|0)+((8191&(i=(i=i+Math.imul(b,yt)|0)+Math.imul(v,pt)|0))<<13)|0;h=((o=o+Math.imul(v,yt)|0)+(i>>>13)|0)+(xt>>>26)|0,xt&=67108863,n=Math.imul(C,Y),i=(i=Math.imul(C,Q))+Math.imul(L,Y)|0,o=Math.imul(L,Q),n=n+Math.imul(I,X)|0,i=(i=i+Math.imul(I,tt)|0)+Math.imul(N,X)|0,o=o+Math.imul(N,tt)|0,n=n+Math.imul(R,rt)|0,i=(i=i+Math.imul(R,nt)|0)+Math.imul(B,rt)|0,o=o+Math.imul(B,nt)|0,n=n+Math.imul(j,ot)|0,i=(i=i+Math.imul(j,st)|0)+Math.imul($,ot)|0,o=o+Math.imul($,st)|0,n=n+Math.imul(E,ut)|0,i=(i=i+Math.imul(E,ht)|0)+Math.imul(x,ut)|0,o=o+Math.imul(x,ht)|0,n=n+Math.imul(S,ct)|0,i=(i=i+Math.imul(S,lt)|0)+Math.imul(O,ct)|0,o=o+Math.imul(O,lt)|0;var kt=(h+(n=n+Math.imul(w,pt)|0)|0)+((8191&(i=(i=i+Math.imul(w,yt)|0)+Math.imul(_,pt)|0))<<13)|0;h=((o=o+Math.imul(_,yt)|0)+(i>>>13)|0)+(kt>>>26)|0,kt&=67108863,n=Math.imul(C,X),i=(i=Math.imul(C,tt))+Math.imul(L,X)|0,o=Math.imul(L,tt),n=n+Math.imul(I,rt)|0,i=(i=i+Math.imul(I,nt)|0)+Math.imul(N,rt)|0,o=o+Math.imul(N,nt)|0,n=n+Math.imul(R,ot)|0,i=(i=i+Math.imul(R,st)|0)+Math.imul(B,ot)|0,o=o+Math.imul(B,st)|0,n=n+Math.imul(j,ut)|0,i=(i=i+Math.imul(j,ht)|0)+Math.imul($,ut)|0,o=o+Math.imul($,ht)|0,n=n+Math.imul(E,ct)|0,i=(i=i+Math.imul(E,lt)|0)+Math.imul(x,ct)|0,o=o+Math.imul(x,lt)|0;var jt=(h+(n=n+Math.imul(S,pt)|0)|0)+((8191&(i=(i=i+Math.imul(S,yt)|0)+Math.imul(O,pt)|0))<<13)|0;h=((o=o+Math.imul(O,yt)|0)+(i>>>13)|0)+(jt>>>26)|0,jt&=67108863,n=Math.imul(C,rt),i=(i=Math.imul(C,nt))+Math.imul(L,rt)|0,o=Math.imul(L,nt),n=n+Math.imul(I,ot)|0,i=(i=i+Math.imul(I,st)|0)+Math.imul(N,ot)|0,o=o+Math.imul(N,st)|0,n=n+Math.imul(R,ut)|0,i=(i=i+Math.imul(R,ht)|0)+Math.imul(B,ut)|0,o=o+Math.imul(B,ht)|0,n=n+Math.imul(j,ct)|0,i=(i=i+Math.imul(j,lt)|0)+Math.imul($,ct)|0,o=o+Math.imul($,lt)|0;var $t=(h+(n=n+Math.imul(E,pt)|0)|0)+((8191&(i=(i=i+Math.imul(E,yt)|0)+Math.imul(x,pt)|0))<<13)|0;h=((o=o+Math.imul(x,yt)|0)+(i>>>13)|0)+($t>>>26)|0,$t&=67108863,n=Math.imul(C,ot),i=(i=Math.imul(C,st))+Math.imul(L,ot)|0,o=Math.imul(L,st),n=n+Math.imul(I,ut)|0,i=(i=i+Math.imul(I,ht)|0)+Math.imul(N,ut)|0,o=o+Math.imul(N,ht)|0,n=n+Math.imul(R,ct)|0,i=(i=i+Math.imul(R,lt)|0)+Math.imul(B,ct)|0,o=o+Math.imul(B,lt)|0;var Pt=(h+(n=n+Math.imul(j,pt)|0)|0)+((8191&(i=(i=i+Math.imul(j,yt)|0)+Math.imul($,pt)|0))<<13)|0;h=((o=o+Math.imul($,yt)|0)+(i>>>13)|0)+(Pt>>>26)|0,Pt&=67108863,n=Math.imul(C,ut),i=(i=Math.imul(C,ht))+Math.imul(L,ut)|0,o=Math.imul(L,ht),n=n+Math.imul(I,ct)|0,i=(i=i+Math.imul(I,lt)|0)+Math.imul(N,ct)|0,o=o+Math.imul(N,lt)|0;var Rt=(h+(n=n+Math.imul(R,pt)|0)|0)+((8191&(i=(i=i+Math.imul(R,yt)|0)+Math.imul(B,pt)|0))<<13)|0;h=((o=o+Math.imul(B,yt)|0)+(i>>>13)|0)+(Rt>>>26)|0,Rt&=67108863,n=Math.imul(C,ct),i=(i=Math.imul(C,lt))+Math.imul(L,ct)|0,o=Math.imul(L,lt);var Bt=(h+(n=n+Math.imul(I,pt)|0)|0)+((8191&(i=(i=i+Math.imul(I,yt)|0)+Math.imul(N,pt)|0))<<13)|0;h=((o=o+Math.imul(N,yt)|0)+(i>>>13)|0)+(Bt>>>26)|0,Bt&=67108863;var Tt=(h+(n=Math.imul(C,pt))|0)+((8191&(i=(i=Math.imul(C,yt))+Math.imul(L,pt)|0))<<13)|0;return h=((o=Math.imul(L,yt))+(i>>>13)|0)+(Tt>>>26)|0,Tt&=67108863,u[0]=mt,u[1]=bt,u[2]=vt,u[3]=gt,u[4]=wt,u[5]=_t,u[6]=Mt,u[7]=St,u[8]=Ot,u[9]=At,u[10]=Et,u[11]=xt,u[12]=kt,u[13]=jt,u[14]=$t,u[15]=Pt,u[16]=Rt,u[17]=Bt,u[18]=Tt,0!==h&&(u[19]=h,r.length++),r};function v(t,e,r){r.negative=e.negative^t.negative,r.length=t.length+e.length;for(var n=0,i=0,o=0;o<r.length-1;o++){var s=i;i=0;for(var a=67108863&n,u=Math.min(o,e.length-1),h=Math.max(0,o-t.length+1);h<=u;h++){var f=o-h,c=(0|t.words[f])*(0|e.words[h]),l=67108863&c;a=67108863&(l=l+a|0),i+=(s=(s=s+(c/67108864|0)|0)+(l>>>26)|0)>>>26,s&=67108863}r.words[o]=a,n=s,s=i}return 0!==n?r.words[o]=n:r.length--,r._strip()}function g(t,e,r){return v(t,e,r)}function w(t,e){this.x=t,this.y=e}Math.imul||(b=m),s.prototype.mulTo=function(t,e){var r=this.length+t.length;return 10===this.length&&10===t.length?b(this,t,e):r<63?m(this,t,e):r<1024?v(this,t,e):g(this,t,e)},w.prototype.makeRBT=function(t){for(var e=new Array(t),r=s.prototype._countBits(t)-1,n=0;n<t;n++)e[n]=this.revBin(n,r,t);return e},w.prototype.revBin=function(t,e,r){if(0===t||t===r-1)return t;for(var n=0,i=0;i<e;i++)n|=(1&t)<<e-i-1,t>>=1;return n},w.prototype.permute=function(t,e,r,n,i,o){for(var s=0;s<o;s++)n[s]=e[t[s]],i[s]=r[t[s]]},w.prototype.transform=function(t,e,r,n,i,o){this.permute(o,t,e,r,n,i);for(var s=1;s<i;s<<=1)for(var a=s<<1,u=Math.cos(2*Math.PI/a),h=Math.sin(2*Math.PI/a),f=0;f<i;f+=a)for(var c=u,l=h,d=0;d<s;d++){var p=r[f+d],y=n[f+d],m=r[f+d+s],b=n[f+d+s],v=c*m-l*b;b=c*b+l*m,m=v,r[f+d]=p+m,n[f+d]=y+b,r[f+d+s]=p-m,n[f+d+s]=y-b,d!==a&&(v=u*c-h*l,l=u*l+h*c,c=v)}},w.prototype.guessLen13b=function(t,e){var r=1|Math.max(e,t),n=1&r,i=0;for(r=r/2|0;r;r>>>=1)i++;return 1<<i+1+n},w.prototype.conjugate=function(t,e,r){if(!(r<=1))for(var n=0;n<r/2;n++){var i=t[n];t[n]=t[r-n-1],t[r-n-1]=i,i=e[n],e[n]=-e[r-n-1],e[r-n-1]=-i}},w.prototype.normalize13b=function(t,e){for(var r=0,n=0;n<e/2;n++){var i=8192*Math.round(t[2*n+1]/e)+Math.round(t[2*n]/e)+r;t[n]=67108863&i,r=i<67108864?0:i/67108864|0}return t},w.prototype.convert13b=function(t,e,r,n){for(var o=0,s=0;s<e;s++)o+=0|t[s],r[2*s]=8191&o,o>>>=13,r[2*s+1]=8191&o,o>>>=13;for(s=2*e;s<n;++s)r[s]=0;i(0===o),i(0==(-8192&o))},w.prototype.stub=function(t){for(var e=new Array(t),r=0;r<t;r++)e[r]=0;return e},w.prototype.mulp=function(t,e,r){var n=2*this.guessLen13b(t.length,e.length),i=this.makeRBT(n),o=this.stub(n),s=new Array(n),a=new Array(n),u=new Array(n),h=new Array(n),f=new Array(n),c=new Array(n),l=r.words;l.length=n,this.convert13b(t.words,t.length,s,n),this.convert13b(e.words,e.length,h,n),this.transform(s,o,a,u,n,i),this.transform(h,o,f,c,n,i);for(var d=0;d<n;d++){var p=a[d]*f[d]-u[d]*c[d];u[d]=a[d]*c[d]+u[d]*f[d],a[d]=p}return this.conjugate(a,u,n),this.transform(a,u,l,o,n,i),this.conjugate(l,o,n),this.normalize13b(l,n),r.negative=t.negative^e.negative,r.length=t.length+e.length,r._strip()},s.prototype.mul=function(t){var e=new s(null);return e.words=new Array(this.length+t.length),this.mulTo(t,e)},s.prototype.mulf=function(t){var e=new s(null);return e.words=new Array(this.length+t.length),g(this,t,e)},s.prototype.imul=function(t){return this.clone().mulTo(t,this)},s.prototype.imuln=function(t){var e=t<0;e&&(t=-t),i("number"==typeof t),i(t<67108864);for(var r=0,n=0;n<this.length;n++){var o=(0|this.words[n])*t,s=(67108863&o)+(67108863&r);r>>=26,r+=o/67108864|0,r+=s>>>26,this.words[n]=67108863&s}return 0!==r&&(this.words[n]=r,this.length++),e?this.ineg():this},s.prototype.muln=function(t){return this.clone().imuln(t)},s.prototype.sqr=function(){return this.mul(this)},s.prototype.isqr=function(){return this.imul(this.clone())},s.prototype.pow=function(t){var e=function(t){for(var e=new Array(t.bitLength()),r=0;r<e.length;r++){var n=r/26|0,i=r%26;e[r]=t.words[n]>>>i&1}return e}(t);if(0===e.length)return new s(1);for(var r=this,n=0;n<e.length&&0===e[n];n++,r=r.sqr());if(++n<e.length)for(var 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c=0|this.words[h];this.words[h]=f<<26-o|c>>>o,f=c&a}return u&&0!==f&&(u.words[u.length++]=f),0===this.length&&(this.words[0]=0,this.length=1),this._strip()},s.prototype.ishrn=function(t,e,r){return i(0===this.negative),this.iushrn(t,e,r)},s.prototype.shln=function(t){return this.clone().ishln(t)},s.prototype.ushln=function(t){return this.clone().iushln(t)},s.prototype.shrn=function(t){return this.clone().ishrn(t)},s.prototype.ushrn=function(t){return this.clone().iushrn(t)},s.prototype.testn=function(t){i("number"==typeof t&&t>=0);var e=t%26,r=(t-e)/26,n=1<<e;return!(this.length<=r)&&!!(this.words[r]&n)},s.prototype.imaskn=function(t){i("number"==typeof t&&t>=0);var e=t%26,r=(t-e)/26;if(i(0===this.negative,"imaskn works only with positive numbers"),this.length<=r)return this;if(0!==e&&r++,this.length=Math.min(r,this.length),0!==e){var n=67108863^67108863>>>e<<e;this.words[this.length-1]&=n}return this._strip()},s.prototype.maskn=function(t){return this.clone().imaskn(t)},s.prototype.iaddn=function(t){return i("number"==typeof t),i(t<67108864),t<0?this.isubn(-t):0!==this.negative?1===this.length&&(0|this.words[0])<=t?(this.words[0]=t-(0|this.words[0]),this.negative=0,this):(this.negative=0,this.isubn(t),this.negative=1,this):this._iaddn(t)},s.prototype._iaddn=function(t){this.words[0]+=t;for(var e=0;e<this.length&&this.words[e]>=67108864;e++)this.words[e]-=67108864,e===this.length-1?this.words[e+1]=1:this.words[e+1]++;return this.length=Math.max(this.length,e+1),this},s.prototype.isubn=function(t){if(i("number"==typeof t),i(t<67108864),t<0)return this.iaddn(-t);if(0!==this.negative)return this.negative=0,this.iaddn(t),this.negative=1,this;if(this.words[0]-=t,1===this.length&&this.words[0]<0)this.words[0]=-this.words[0],this.negative=1;else for(var e=0;e<this.length&&this.words[e]<0;e++)this.words[e]+=67108864,this.words[e+1]-=1;return this._strip()},s.prototype.addn=function(t){return this.clone().iaddn(t)},s.prototype.subn=function(t){return this.clone().isubn(t)},s.prototype.iabs=function(){return this.negative=0,this},s.prototype.abs=function(){return this.clone().iabs()},s.prototype._ishlnsubmul=function(t,e,r){var n,o,s=t.length+r;this._expand(s);var a=0;for(n=0;n<t.length;n++){o=(0|this.words[n+r])+a;var u=(0|t.words[n])*e;a=((o-=67108863&u)>>26)-(u/67108864|0),this.words[n+r]=67108863&o}for(;n<this.length-r;n++)a=(o=(0|this.words[n+r])+a)>>26,this.words[n+r]=67108863&o;if(0===a)return this._strip();for(i(-1===a),a=0,n=0;n<this.length;n++)a=(o=-(0|this.words[n])+a)>>26,this.words[n]=67108863&o;return this.negative=1,this._strip()},s.prototype._wordDiv=function(t,e){var r=(this.length,t.length),n=this.clone(),i=t,o=0|i.words[i.length-1];0!==(r=26-this._countBits(o))&&(i=i.ushln(r),n.iushln(r),o=0|i.words[i.length-1]);var a,u=n.length-i.length;if("mod"!==e){(a=new s(null)).length=u+1,a.words=new Array(a.length);for(var h=0;h<a.length;h++)a.words[h]=0}var f=n.clone()._ishlnsubmul(i,1,u);0===f.negative&&(n=f,a&&(a.words[u]=1));for(var c=u-1;c>=0;c--){var l=67108864*(0|n.words[i.length+c])+(0|n.words[i.length+c-1]);for(l=Math.min(l/o|0,67108863),n._ishlnsubmul(i,l,c);0!==n.negative;)l--,n.negative=0,n._ishlnsubmul(i,1,c),n.isZero()||(n.negative^=1);a&&(a.words[c]=l)}return a&&a._strip(),n._strip(),"div"!==e&&0!==r&&n.iushrn(r),{div:a||null,mod:n}},s.prototype.divmod=function(t,e,r){return i(!t.isZero()),this.isZero()?{div:new s(0),mod:new s(0)}:0!==this.negative&&0===t.negative?(a=this.neg().divmod(t,e),"mod"!==e&&(n=a.div.neg()),"div"!==e&&(o=a.mod.neg(),r&&0!==o.negative&&o.iadd(t)),{div:n,mod:o}):0===this.negative&&0!==t.negative?(a=this.divmod(t.neg(),e),"mod"!==e&&(n=a.div.neg()),{div:n,mod:a.mod}):0!=(this.negative&t.negative)?(a=this.neg().divmod(t.neg(),e),"div"!==e&&(o=a.mod.neg(),r&&0!==o.negative&&o.isub(t)),{div:a.div,mod:o}):t.length>this.length||this.cmp(t)<0?{div:new s(0),mod:this}:1===t.length?"div"===e?{div:this.divn(t.words[0]),mod:null}:"mod"===e?{div:null,mod:new s(this.modrn(t.words[0]))}:{div:this.divn(t.words[0]),mod:new s(this.modrn(t.words[0]))}:this._wordDiv(t,e);var n,o,a},s.prototype.div=function(t){return this.divmod(t,"div",!1).div},s.prototype.mod=function(t){return this.divmod(t,"mod",!1).mod},s.prototype.umod=function(t){return this.divmod(t,"mod",!0).mod},s.prototype.divRound=function(t){var e=this.divmod(t);if(e.mod.isZero())return e.div;var r=0!==e.div.negative?e.mod.isub(t):e.mod,n=t.ushrn(1),i=t.andln(1),o=r.cmp(n);return o<0||1===i&&0===o?e.div:0!==e.div.negative?e.div.isubn(1):e.div.iaddn(1)},s.prototype.modrn=function(t){var e=t<0;e&&(t=-t),i(t<=67108863);for(var r=(1<<26)%t,n=0,o=this.length-1;o>=0;o--)n=(r*n+(0|this.words[o]))%t;return e?-n:n},s.prototype.modn=function(t){return this.modrn(t)},s.prototype.idivn=function(t){var e=t<0;e&&(t=-t),i(t<=67108863);for(var r=0,n=this.length-1;n>=0;n--){var o=(0|this.words[n])+67108864*r;this.words[n]=o/t|0,r=o%t}return this._strip(),e?this.ineg():this},s.prototype.divn=function(t){return this.clone().idivn(t)},s.prototype.egcd=function(t){i(0===t.negative),i(!t.isZero());var e=this,r=t.clone();e=0!==e.negative?e.umod(t):e.clone();for(var n=new s(1),o=new s(0),a=new s(0),u=new s(1),h=0;e.isEven()&&r.isEven();)e.iushrn(1),r.iushrn(1),++h;for(var f=r.clone(),c=e.clone();!e.isZero();){for(var l=0,d=1;0==(e.words[0]&d)&&l<26;++l,d<<=1);if(l>0)for(e.iushrn(l);l-- >0;)(n.isOdd()||o.isOdd())&&(n.iadd(f),o.isub(c)),n.iushrn(1),o.iushrn(1);for(var p=0,y=1;0==(r.words[0]&y)&&p<26;++p,y<<=1);if(p>0)for(r.iushrn(p);p-- >0;)(a.isOdd()||u.isOdd())&&(a.iadd(f),u.isub(c)),a.iushrn(1),u.iushrn(1);e.cmp(r)>=0?(e.isub(r),n.isub(a),o.isub(u)):(r.isub(e),a.isub(n),u.isub(o))}return{a:a,b:u,gcd:r.iushln(h)}},s.prototype._invmp=function(t){i(0===t.negative),i(!t.isZero());var e=this,r=t.clone();e=0!==e.negative?e.umod(t):e.clone();for(var n,o=new s(1),a=new s(0),u=r.clone();e.cmpn(1)>0&&r.cmpn(1)>0;){for(var h=0,f=1;0==(e.words[0]&f)&&h<26;++h,f<<=1);if(h>0)for(e.iushrn(h);h-- >0;)o.isOdd()&&o.iadd(u),o.iushrn(1);for(var c=0,l=1;0==(r.words[0]&l)&&c<26;++c,l<<=1);if(c>0)for(r.iushrn(c);c-- >0;)a.isOdd()&&a.iadd(u),a.iushrn(1);e.cmp(r)>=0?(e.isub(r),o.isub(a)):(r.isub(e),a.isub(o))}return(n=0===e.cmpn(1)?o:a).cmpn(0)<0&&n.iadd(t),n},s.prototype.gcd=function(t){if(this.isZero())return t.abs();if(t.isZero())return this.abs();var e=this.clone(),r=t.clone();e.negative=0,r.negative=0;for(var n=0;e.isEven()&&r.isEven();n++)e.iushrn(1),r.iushrn(1);for(;;){for(;e.isEven();)e.iushrn(1);for(;r.isEven();)r.iushrn(1);var i=e.cmp(r);if(i<0){var o=e;e=r,r=o}else if(0===i||0===r.cmpn(1))break;e.isub(r)}return r.iushln(n)},s.prototype.invm=function(t){return this.egcd(t).a.umod(t)},s.prototype.isEven=function(){return 0==(1&this.words[0])},s.prototype.isOdd=function(){return 1==(1&this.words[0])},s.prototype.andln=function(t){return 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n=0|this.words[r],i=0|t.words[r];if(n!==i){n<i?e=-1:n>i&&(e=1);break}}return e},s.prototype.gtn=function(t){return 1===this.cmpn(t)},s.prototype.gt=function(t){return 1===this.cmp(t)},s.prototype.gten=function(t){return this.cmpn(t)>=0},s.prototype.gte=function(t){return this.cmp(t)>=0},s.prototype.ltn=function(t){return-1===this.cmpn(t)},s.prototype.lt=function(t){return-1===this.cmp(t)},s.prototype.lten=function(t){return this.cmpn(t)<=0},s.prototype.lte=function(t){return this.cmp(t)<=0},s.prototype.eqn=function(t){return 0===this.cmpn(t)},s.prototype.eq=function(t){return 0===this.cmp(t)},s.red=function(t){return new x(t)},s.prototype.toRed=function(t){return i(!this.red,"Already a number in reduction context"),i(0===this.negative,"red works only with positives"),t.convertTo(this)._forceRed(t)},s.prototype.fromRed=function(){return i(this.red,"fromRed works only with numbers in reduction context"),this.red.convertFrom(this)},s.prototype._forceRed=function(t){return 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Object.defineProperty(i,t,{configurable:!0,enumerable:!0,value:r}),r}})}i.PresetCurve=u,h("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:o.sha256,gRed:!1,g:["188da80e b03090f6 7cbf20eb 43a18800 f4ff0afd 82ff1012","07192b95 ffc8da78 631011ed 6b24cdd5 73f977a1 1e794811"]}),h("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:o.sha256,gRed:!1,g:["b70e0cbd 6bb4bf7f 321390b9 4a03c1d3 56c21122 343280d6 115c1d21","bd376388 b5f723fb 4c22dfe6 cd4375a0 5a074764 44d58199 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e,r;this.length>t.length?(e=this,r=t):(e=t,r=this);for(var n=0;n<r.length;n++)this.words[n]=e.words[n]^r.words[n];if(this!==e)for(;n<e.length;n++)this.words[n]=e.words[n];return this.length=e.length,this.strip()},s.prototype.ixor=function(t){return i(0==(this.negative|t.negative)),this.iuxor(t)},s.prototype.xor=function(t){return this.length>t.length?this.clone().ixor(t):t.clone().ixor(this)},s.prototype.uxor=function(t){return this.length>t.length?this.clone().iuxor(t):t.clone().iuxor(this)},s.prototype.inotn=function(t){i("number"==typeof t&&t>=0);var e=0|Math.ceil(t/26),r=t%26;this._expand(e),r>0&&e--;for(var n=0;n<e;n++)this.words[n]=67108863&~this.words[n];return r>0&&(this.words[n]=~this.words[n]&67108863>>26-r),this.strip()},s.prototype.notn=function(t){return this.clone().inotn(t)},s.prototype.setn=function(t,e){i("number"==typeof t&&t>=0);var r=t/26|0,n=t%26;return this._expand(r+1),this.words[r]=e?this.words[r]|1<<n:this.words[r]&~(1<<n),this.strip()},s.prototype.iadd=function(t){var e,r,n;if(0!==this.negative&&0===t.negative)return this.negative=0,e=this.isub(t),this.negative^=1,this._normSign();if(0===this.negative&&0!==t.negative)return t.negative=0,e=this.isub(t),t.negative=1,e._normSign();this.length>t.length?(r=this,n=t):(r=t,n=this);for(var i=0,o=0;o<n.length;o++)e=(0|r.words[o])+(0|n.words[o])+i,this.words[o]=67108863&e,i=e>>>26;for(;0!==i&&o<r.length;o++)e=(0|r.words[o])+i,this.words[o]=67108863&e,i=e>>>26;if(this.length=r.length,0!==i)this.words[this.length]=i,this.length++;else if(r!==this)for(;o<r.length;o++)this.words[o]=r.words[o];return this},s.prototype.add=function(t){var e;return 0!==t.negative&&0===this.negative?(t.negative=0,e=this.sub(t),t.negative^=1,e):0===t.negative&&0!==this.negative?(this.negative=0,e=t.sub(this),this.negative=1,e):this.length>t.length?this.clone().iadd(t):t.clone().iadd(this)},s.prototype.isub=function(t){if(0!==t.negative){t.negative=0;var e=this.iadd(t);return t.negative=1,e._normSign()}if(0!==this.negative)return this.negative=0,this.iadd(t),this.negative=1,this._normSign();var r,n,i=this.cmp(t);if(0===i)return this.negative=0,this.length=1,this.words[0]=0,this;i>0?(r=this,n=t):(r=t,n=this);for(var o=0,s=0;s<n.length;s++)o=(e=(0|r.words[s])-(0|n.words[s])+o)>>26,this.words[s]=67108863&e;for(;0!==o&&s<r.length;s++)o=(e=(0|r.words[s])+o)>>26,this.words[s]=67108863&e;if(0===o&&s<r.length&&r!==this)for(;s<r.length;s++)this.words[s]=r.words[s];return this.length=Math.max(this.length,s),r!==this&&(this.negative=1),this.strip()},s.prototype.sub=function(t){return this.clone().isub(t)};var y=function(t,e,r){var n,i,o,s=t.words,a=e.words,u=r.words,h=0,f=0|s[0],c=8191&f,l=f>>>13,d=0|s[1],p=8191&d,y=d>>>13,m=0|s[2],b=8191&m,v=m>>>13,g=0|s[3],w=8191&g,_=g>>>13,M=0|s[4],S=8191&M,O=M>>>13,A=0|s[5],E=8191&A,x=A>>>13,k=0|s[6],j=8191&k,$=k>>>13,P=0|s[7],R=8191&P,B=P>>>13,T=0|s[8],I=8191&T,N=T>>>13,D=0|s[9],C=8191&D,L=D>>>13,q=0|a[0],U=8191&q,F=q>>>13,z=0|a[1],V=8191&z,K=z>>>13,H=0|a[2],Z=8191&H,W=H>>>13,J=0|a[3],Y=8191&J,Q=J>>>13,G=0|a[4],X=8191&G,tt=G>>>13,et=0|a[5],rt=8191&et,nt=et>>>13,it=0|a[6],ot=8191&it,st=it>>>13,at=0|a[7],ut=8191&at,ht=at>>>13,ft=0|a[8],ct=8191&ft,lt=ft>>>13,dt=0|a[9],pt=8191&dt,yt=dt>>>13;r.negative=t.negative^e.negative,r.length=19;var mt=(h+(n=Math.imul(c,U))|0)+((8191&(i=(i=Math.imul(c,F))+Math.imul(l,U)|0))<<13)|0;h=((o=Math.imul(l,F))+(i>>>13)|0)+(mt>>>26)|0,mt&=67108863,n=Math.imul(p,U),i=(i=Math.imul(p,F))+Math.imul(y,U)|0,o=Math.imul(y,F);var bt=(h+(n=n+Math.imul(c,V)|0)|0)+((8191&(i=(i=i+Math.imul(c,K)|0)+Math.imul(l,V)|0))<<13)|0;h=((o=o+Math.imul(l,K)|0)+(i>>>13)|0)+(bt>>>26)|0,bt&=67108863,n=Math.imul(b,U),i=(i=Math.imul(b,F))+Math.imul(v,U)|0,o=Math.imul(v,F),n=n+Math.imul(p,V)|0,i=(i=i+Math.imul(p,K)|0)+Math.imul(y,V)|0,o=o+Math.imul(y,K)|0;var vt=(h+(n=n+Math.imul(c,Z)|0)|0)+((8191&(i=(i=i+Math.imul(c,W)|0)+Math.imul(l,Z)|0))<<13)|0;h=((o=o+Math.imul(l,W)|0)+(i>>>13)|0)+(vt>>>26)|0,vt&=67108863,n=Math.imul(w,U),i=(i=Math.imul(w,F))+Math.imul(_,U)|0,o=Math.imul(_,F),n=n+Math.imul(b,V)|0,i=(i=i+Math.imul(b,K)|0)+Math.imul(v,V)|0,o=o+Math.imul(v,K)|0,n=n+Math.imul(p,Z)|0,i=(i=i+Math.imul(p,W)|0)+Math.imul(y,Z)|0,o=o+Math.imul(y,W)|0;var 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wt=(h+(n=n+Math.imul(c,X)|0)|0)+((8191&(i=(i=i+Math.imul(c,tt)|0)+Math.imul(l,X)|0))<<13)|0;h=((o=o+Math.imul(l,tt)|0)+(i>>>13)|0)+(wt>>>26)|0,wt&=67108863,n=Math.imul(E,U),i=(i=Math.imul(E,F))+Math.imul(x,U)|0,o=Math.imul(x,F),n=n+Math.imul(S,V)|0,i=(i=i+Math.imul(S,K)|0)+Math.imul(O,V)|0,o=o+Math.imul(O,K)|0,n=n+Math.imul(w,Z)|0,i=(i=i+Math.imul(w,W)|0)+Math.imul(_,Z)|0,o=o+Math.imul(_,W)|0,n=n+Math.imul(b,Y)|0,i=(i=i+Math.imul(b,Q)|0)+Math.imul(v,Y)|0,o=o+Math.imul(v,Q)|0,n=n+Math.imul(p,X)|0,i=(i=i+Math.imul(p,tt)|0)+Math.imul(y,X)|0,o=o+Math.imul(y,tt)|0;var _t=(h+(n=n+Math.imul(c,rt)|0)|0)+((8191&(i=(i=i+Math.imul(c,nt)|0)+Math.imul(l,rt)|0))<<13)|0;h=((o=o+Math.imul(l,nt)|0)+(i>>>13)|0)+(_t>>>26)|0,_t&=67108863,n=Math.imul(j,U),i=(i=Math.imul(j,F))+Math.imul($,U)|0,o=Math.imul($,F),n=n+Math.imul(E,V)|0,i=(i=i+Math.imul(E,K)|0)+Math.imul(x,V)|0,o=o+Math.imul(x,K)|0,n=n+Math.imul(S,Z)|0,i=(i=i+Math.imul(S,W)|0)+Math.imul(O,Z)|0,o=o+Math.imul(O,W)|0,n=n+Math.imul(w,Y)|0,i=(i=i+Math.imul(w,Q)|0)+Math.imul(_,Y)|0,o=o+Math.imul(_,Q)|0,n=n+Math.imul(b,X)|0,i=(i=i+Math.imul(b,tt)|0)+Math.imul(v,X)|0,o=o+Math.imul(v,tt)|0,n=n+Math.imul(p,rt)|0,i=(i=i+Math.imul(p,nt)|0)+Math.imul(y,rt)|0,o=o+Math.imul(y,nt)|0;var Mt=(h+(n=n+Math.imul(c,ot)|0)|0)+((8191&(i=(i=i+Math.imul(c,st)|0)+Math.imul(l,ot)|0))<<13)|0;h=((o=o+Math.imul(l,st)|0)+(i>>>13)|0)+(Mt>>>26)|0,Mt&=67108863,n=Math.imul(R,U),i=(i=Math.imul(R,F))+Math.imul(B,U)|0,o=Math.imul(B,F),n=n+Math.imul(j,V)|0,i=(i=i+Math.imul(j,K)|0)+Math.imul($,V)|0,o=o+Math.imul($,K)|0,n=n+Math.imul(E,Z)|0,i=(i=i+Math.imul(E,W)|0)+Math.imul(x,Z)|0,o=o+Math.imul(x,W)|0,n=n+Math.imul(S,Y)|0,i=(i=i+Math.imul(S,Q)|0)+Math.imul(O,Y)|0,o=o+Math.imul(O,Q)|0,n=n+Math.imul(w,X)|0,i=(i=i+Math.imul(w,tt)|0)+Math.imul(_,X)|0,o=o+Math.imul(_,tt)|0,n=n+Math.imul(b,rt)|0,i=(i=i+Math.imul(b,nt)|0)+Math.imul(v,rt)|0,o=o+Math.imul(v,nt)|0,n=n+Math.imul(p,ot)|0,i=(i=i+Math.imul(p,st)|0)+Math.imul(y,ot)|0,o=o+Math.imul(y,st)|0;var 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Ot=(h+(n=n+Math.imul(c,ct)|0)|0)+((8191&(i=(i=i+Math.imul(c,lt)|0)+Math.imul(l,ct)|0))<<13)|0;h=((o=o+Math.imul(l,lt)|0)+(i>>>13)|0)+(Ot>>>26)|0,Ot&=67108863,n=Math.imul(C,U),i=(i=Math.imul(C,F))+Math.imul(L,U)|0,o=Math.imul(L,F),n=n+Math.imul(I,V)|0,i=(i=i+Math.imul(I,K)|0)+Math.imul(N,V)|0,o=o+Math.imul(N,K)|0,n=n+Math.imul(R,Z)|0,i=(i=i+Math.imul(R,W)|0)+Math.imul(B,Z)|0,o=o+Math.imul(B,W)|0,n=n+Math.imul(j,Y)|0,i=(i=i+Math.imul(j,Q)|0)+Math.imul($,Y)|0,o=o+Math.imul($,Q)|0,n=n+Math.imul(E,X)|0,i=(i=i+Math.imul(E,tt)|0)+Math.imul(x,X)|0,o=o+Math.imul(x,tt)|0,n=n+Math.imul(S,rt)|0,i=(i=i+Math.imul(S,nt)|0)+Math.imul(O,rt)|0,o=o+Math.imul(O,nt)|0,n=n+Math.imul(w,ot)|0,i=(i=i+Math.imul(w,st)|0)+Math.imul(_,ot)|0,o=o+Math.imul(_,st)|0,n=n+Math.imul(b,ut)|0,i=(i=i+Math.imul(b,ht)|0)+Math.imul(v,ut)|0,o=o+Math.imul(v,ht)|0,n=n+Math.imul(p,ct)|0,i=(i=i+Math.imul(p,lt)|0)+Math.imul(y,ct)|0,o=o+Math.imul(y,lt)|0;var At=(h+(n=n+Math.imul(c,pt)|0)|0)+((8191&(i=(i=i+Math.imul(c,yt)|0)+Math.imul(l,pt)|0))<<13)|0;h=((o=o+Math.imul(l,yt)|0)+(i>>>13)|0)+(At>>>26)|0,At&=67108863,n=Math.imul(C,V),i=(i=Math.imul(C,K))+Math.imul(L,V)|0,o=Math.imul(L,K),n=n+Math.imul(I,Z)|0,i=(i=i+Math.imul(I,W)|0)+Math.imul(N,Z)|0,o=o+Math.imul(N,W)|0,n=n+Math.imul(R,Y)|0,i=(i=i+Math.imul(R,Q)|0)+Math.imul(B,Y)|0,o=o+Math.imul(B,Q)|0,n=n+Math.imul(j,X)|0,i=(i=i+Math.imul(j,tt)|0)+Math.imul($,X)|0,o=o+Math.imul($,tt)|0,n=n+Math.imul(E,rt)|0,i=(i=i+Math.imul(E,nt)|0)+Math.imul(x,rt)|0,o=o+Math.imul(x,nt)|0,n=n+Math.imul(S,ot)|0,i=(i=i+Math.imul(S,st)|0)+Math.imul(O,ot)|0,o=o+Math.imul(O,st)|0,n=n+Math.imul(w,ut)|0,i=(i=i+Math.imul(w,ht)|0)+Math.imul(_,ut)|0,o=o+Math.imul(_,ht)|0,n=n+Math.imul(b,ct)|0,i=(i=i+Math.imul(b,lt)|0)+Math.imul(v,ct)|0,o=o+Math.imul(v,lt)|0;var Et=(h+(n=n+Math.imul(p,pt)|0)|0)+((8191&(i=(i=i+Math.imul(p,yt)|0)+Math.imul(y,pt)|0))<<13)|0;h=((o=o+Math.imul(y,yt)|0)+(i>>>13)|0)+(Et>>>26)|0,Et&=67108863,n=Math.imul(C,Z),i=(i=Math.imul(C,W))+Math.imul(L,Z)|0,o=Math.imul(L,W),n=n+Math.imul(I,Y)|0,i=(i=i+Math.imul(I,Q)|0)+Math.imul(N,Y)|0,o=o+Math.imul(N,Q)|0,n=n+Math.imul(R,X)|0,i=(i=i+Math.imul(R,tt)|0)+Math.imul(B,X)|0,o=o+Math.imul(B,tt)|0,n=n+Math.imul(j,rt)|0,i=(i=i+Math.imul(j,nt)|0)+Math.imul($,rt)|0,o=o+Math.imul($,nt)|0,n=n+Math.imul(E,ot)|0,i=(i=i+Math.imul(E,st)|0)+Math.imul(x,ot)|0,o=o+Math.imul(x,st)|0,n=n+Math.imul(S,ut)|0,i=(i=i+Math.imul(S,ht)|0)+Math.imul(O,ut)|0,o=o+Math.imul(O,ht)|0,n=n+Math.imul(w,ct)|0,i=(i=i+Math.imul(w,lt)|0)+Math.imul(_,ct)|0,o=o+Math.imul(_,lt)|0;var xt=(h+(n=n+Math.imul(b,pt)|0)|0)+((8191&(i=(i=i+Math.imul(b,yt)|0)+Math.imul(v,pt)|0))<<13)|0;h=((o=o+Math.imul(v,yt)|0)+(i>>>13)|0)+(xt>>>26)|0,xt&=67108863,n=Math.imul(C,Y),i=(i=Math.imul(C,Q))+Math.imul(L,Y)|0,o=Math.imul(L,Q),n=n+Math.imul(I,X)|0,i=(i=i+Math.imul(I,tt)|0)+Math.imul(N,X)|0,o=o+Math.imul(N,tt)|0,n=n+Math.imul(R,rt)|0,i=(i=i+Math.imul(R,nt)|0)+Math.imul(B,rt)|0,o=o+Math.imul(B,nt)|0,n=n+Math.imul(j,ot)|0,i=(i=i+Math.imul(j,st)|0)+Math.imul($,ot)|0,o=o+Math.imul($,st)|0,n=n+Math.imul(E,ut)|0,i=(i=i+Math.imul(E,ht)|0)+Math.imul(x,ut)|0,o=o+Math.imul(x,ht)|0,n=n+Math.imul(S,ct)|0,i=(i=i+Math.imul(S,lt)|0)+Math.imul(O,ct)|0,o=o+Math.imul(O,lt)|0;var kt=(h+(n=n+Math.imul(w,pt)|0)|0)+((8191&(i=(i=i+Math.imul(w,yt)|0)+Math.imul(_,pt)|0))<<13)|0;h=((o=o+Math.imul(_,yt)|0)+(i>>>13)|0)+(kt>>>26)|0,kt&=67108863,n=Math.imul(C,X),i=(i=Math.imul(C,tt))+Math.imul(L,X)|0,o=Math.imul(L,tt),n=n+Math.imul(I,rt)|0,i=(i=i+Math.imul(I,nt)|0)+Math.imul(N,rt)|0,o=o+Math.imul(N,nt)|0,n=n+Math.imul(R,ot)|0,i=(i=i+Math.imul(R,st)|0)+Math.imul(B,ot)|0,o=o+Math.imul(B,st)|0,n=n+Math.imul(j,ut)|0,i=(i=i+Math.imul(j,ht)|0)+Math.imul($,ut)|0,o=o+Math.imul($,ht)|0,n=n+Math.imul(E,ct)|0,i=(i=i+Math.imul(E,lt)|0)+Math.imul(x,ct)|0,o=o+Math.imul(x,lt)|0;var jt=(h+(n=n+Math.imul(S,pt)|0)|0)+((8191&(i=(i=i+Math.imul(S,yt)|0)+Math.imul(O,pt)|0))<<13)|0;h=((o=o+Math.imul(O,yt)|0)+(i>>>13)|0)+(jt>>>26)|0,jt&=67108863,n=Math.imul(C,rt),i=(i=Math.imul(C,nt))+Math.imul(L,rt)|0,o=Math.imul(L,nt),n=n+Math.imul(I,ot)|0,i=(i=i+Math.imul(I,st)|0)+Math.imul(N,ot)|0,o=o+Math.imul(N,st)|0,n=n+Math.imul(R,ut)|0,i=(i=i+Math.imul(R,ht)|0)+Math.imul(B,ut)|0,o=o+Math.imul(B,ht)|0,n=n+Math.imul(j,ct)|0,i=(i=i+Math.imul(j,lt)|0)+Math.imul($,ct)|0,o=o+Math.imul($,lt)|0;var $t=(h+(n=n+Math.imul(E,pt)|0)|0)+((8191&(i=(i=i+Math.imul(E,yt)|0)+Math.imul(x,pt)|0))<<13)|0;h=((o=o+Math.imul(x,yt)|0)+(i>>>13)|0)+($t>>>26)|0,$t&=67108863,n=Math.imul(C,ot),i=(i=Math.imul(C,st))+Math.imul(L,ot)|0,o=Math.imul(L,st),n=n+Math.imul(I,ut)|0,i=(i=i+Math.imul(I,ht)|0)+Math.imul(N,ut)|0,o=o+Math.imul(N,ht)|0,n=n+Math.imul(R,ct)|0,i=(i=i+Math.imul(R,lt)|0)+Math.imul(B,ct)|0,o=o+Math.imul(B,lt)|0;var Pt=(h+(n=n+Math.imul(j,pt)|0)|0)+((8191&(i=(i=i+Math.imul(j,yt)|0)+Math.imul($,pt)|0))<<13)|0;h=((o=o+Math.imul($,yt)|0)+(i>>>13)|0)+(Pt>>>26)|0,Pt&=67108863,n=Math.imul(C,ut),i=(i=Math.imul(C,ht))+Math.imul(L,ut)|0,o=Math.imul(L,ht),n=n+Math.imul(I,ct)|0,i=(i=i+Math.imul(I,lt)|0)+Math.imul(N,ct)|0,o=o+Math.imul(N,lt)|0;var Rt=(h+(n=n+Math.imul(R,pt)|0)|0)+((8191&(i=(i=i+Math.imul(R,yt)|0)+Math.imul(B,pt)|0))<<13)|0;h=((o=o+Math.imul(B,yt)|0)+(i>>>13)|0)+(Rt>>>26)|0,Rt&=67108863,n=Math.imul(C,ct),i=(i=Math.imul(C,lt))+Math.imul(L,ct)|0,o=Math.imul(L,lt);var Bt=(h+(n=n+Math.imul(I,pt)|0)|0)+((8191&(i=(i=i+Math.imul(I,yt)|0)+Math.imul(N,pt)|0))<<13)|0;h=((o=o+Math.imul(N,yt)|0)+(i>>>13)|0)+(Bt>>>26)|0,Bt&=67108863;var Tt=(h+(n=Math.imul(C,pt))|0)+((8191&(i=(i=Math.imul(C,yt))+Math.imul(L,pt)|0))<<13)|0;return h=((o=Math.imul(L,yt))+(i>>>13)|0)+(Tt>>>26)|0,Tt&=67108863,u[0]=mt,u[1]=bt,u[2]=vt,u[3]=gt,u[4]=wt,u[5]=_t,u[6]=Mt,u[7]=St,u[8]=Ot,u[9]=At,u[10]=Et,u[11]=xt,u[12]=kt,u[13]=jt,u[14]=$t,u[15]=Pt,u[16]=Rt,u[17]=Bt,u[18]=Tt,0!==h&&(u[19]=h,r.length++),r};function m(t,e,r){return(new b).mulp(t,e,r)}function b(t,e){this.x=t,this.y=e}Math.imul||(y=p),s.prototype.mulTo=function(t,e){var r=this.length+t.length;return 10===this.length&&10===t.length?y(this,t,e):r<63?p(this,t,e):r<1024?function(t,e,r){r.negative=e.negative^t.negative,r.length=t.length+e.length;for(var n=0,i=0,o=0;o<r.length-1;o++){var s=i;i=0;for(var a=67108863&n,u=Math.min(o,e.length-1),h=Math.max(0,o-t.length+1);h<=u;h++){var f=o-h,c=(0|t.words[f])*(0|e.words[h]),l=67108863&c;a=67108863&(l=l+a|0),i+=(s=(s=s+(c/67108864|0)|0)+(l>>>26)|0)>>>26,s&=67108863}r.words[o]=a,n=s,s=i}return 0!==n?r.words[o]=n:r.length--,r.strip()}(this,t,e):m(this,t,e)},b.prototype.makeRBT=function(t){for(var e=new Array(t),r=s.prototype._countBits(t)-1,n=0;n<t;n++)e[n]=this.revBin(n,r,t);return e},b.prototype.revBin=function(t,e,r){if(0===t||t===r-1)return t;for(var n=0,i=0;i<e;i++)n|=(1&t)<<e-i-1,t>>=1;return n},b.prototype.permute=function(t,e,r,n,i,o){for(var s=0;s<o;s++)n[s]=e[t[s]],i[s]=r[t[s]]},b.prototype.transform=function(t,e,r,n,i,o){this.permute(o,t,e,r,n,i);for(var s=1;s<i;s<<=1)for(var a=s<<1,u=Math.cos(2*Math.PI/a),h=Math.sin(2*Math.PI/a),f=0;f<i;f+=a)for(var c=u,l=h,d=0;d<s;d++){var p=r[f+d],y=n[f+d],m=r[f+d+s],b=n[f+d+s],v=c*m-l*b;b=c*b+l*m,m=v,r[f+d]=p+m,n[f+d]=y+b,r[f+d+s]=p-m,n[f+d+s]=y-b,d!==a&&(v=u*c-h*l,l=u*l+h*c,c=v)}},b.prototype.guessLen13b=function(t,e){var r=1|Math.max(e,t),n=1&r,i=0;for(r=r/2|0;r;r>>>=1)i++;return 1<<i+1+n},b.prototype.conjugate=function(t,e,r){if(!(r<=1))for(var n=0;n<r/2;n++){var i=t[n];t[n]=t[r-n-1],t[r-n-1]=i,i=e[n],e[n]=-e[r-n-1],e[r-n-1]=-i}},b.prototype.normalize13b=function(t,e){for(var r=0,n=0;n<e/2;n++){var i=8192*Math.round(t[2*n+1]/e)+Math.round(t[2*n]/e)+r;t[n]=67108863&i,r=i<67108864?0:i/67108864|0}return t},b.prototype.convert13b=function(t,e,r,n){for(var o=0,s=0;s<e;s++)o+=0|t[s],r[2*s]=8191&o,o>>>=13,r[2*s+1]=8191&o,o>>>=13;for(s=2*e;s<n;++s)r[s]=0;i(0===o),i(0==(-8192&o))},b.prototype.stub=function(t){for(var e=new Array(t),r=0;r<t;r++)e[r]=0;return e},b.prototype.mulp=function(t,e,r){var n=2*this.guessLen13b(t.length,e.length),i=this.makeRBT(n),o=this.stub(n),s=new Array(n),a=new Array(n),u=new Array(n),h=new Array(n),f=new Array(n),c=new Array(n),l=r.words;l.length=n,this.convert13b(t.words,t.length,s,n),this.convert13b(e.words,e.length,h,n),this.transform(s,o,a,u,n,i),this.transform(h,o,f,c,n,i);for(var d=0;d<n;d++){var p=a[d]*f[d]-u[d]*c[d];u[d]=a[d]*c[d]+u[d]*f[d],a[d]=p}return this.conjugate(a,u,n),this.transform(a,u,l,o,n,i),this.conjugate(l,o,n),this.normalize13b(l,n),r.negative=t.negative^e.negative,r.length=t.length+e.length,r.strip()},s.prototype.mul=function(t){var e=new s(null);return e.words=new Array(this.length+t.length),this.mulTo(t,e)},s.prototype.mulf=function(t){var e=new s(null);return e.words=new Array(this.length+t.length),m(this,t,e)},s.prototype.imul=function(t){return this.clone().mulTo(t,this)},s.prototype.imuln=function(t){i("number"==typeof t),i(t<67108864);for(var e=0,r=0;r<this.length;r++){var n=(0|this.words[r])*t,o=(67108863&n)+(67108863&e);e>>=26,e+=n/67108864|0,e+=o>>>26,this.words[r]=67108863&o}return 0!==e&&(this.words[r]=e,this.length++),this},s.prototype.muln=function(t){return this.clone().imuln(t)},s.prototype.sqr=function(){return this.mul(this)},s.prototype.isqr=function(){return this.imul(this.clone())},s.prototype.pow=function(t){var e=function(t){for(var e=new Array(t.bitLength()),r=0;r<e.length;r++){var n=r/26|0,i=r%26;e[r]=(t.words[n]&1<<i)>>>i}return e}(t);if(0===e.length)return new s(1);for(var r=this,n=0;n<e.length&&0===e[n];n++,r=r.sqr());if(++n<e.length)for(var i=r.sqr();n<e.length;n++,i=i.sqr())0!==e[n]&&(r=r.mul(i));return r},s.prototype.iushln=function(t){i("number"==typeof t&&t>=0);var e,r=t%26,n=(t-r)/26,o=67108863>>>26-r<<26-r;if(0!==r){var s=0;for(e=0;e<this.length;e++){var a=this.words[e]&o,u=(0|this.words[e])-a<<r;this.words[e]=u|s,s=a>>>26-r}s&&(this.words[e]=s,this.length++)}if(0!==n){for(e=this.length-1;e>=0;e--)this.words[e+n]=this.words[e];for(e=0;e<n;e++)this.words[e]=0;this.length+=n}return this.strip()},s.prototype.ishln=function(t){return i(0===this.negative),this.iushln(t)},s.prototype.iushrn=function(t,e,r){var n;i("number"==typeof t&&t>=0),n=e?(e-e%26)/26:0;var o=t%26,s=Math.min((t-o)/26,this.length),a=67108863^67108863>>>o<<o,u=r;if(n-=s,n=Math.max(0,n),u){for(var h=0;h<s;h++)u.words[h]=this.words[h];u.length=s}if(0===s);else if(this.length>s)for(this.length-=s,h=0;h<this.length;h++)this.words[h]=this.words[h+s];else this.words[0]=0,this.length=1;var f=0;for(h=this.length-1;h>=0&&(0!==f||h>=n);h--){var c=0|this.words[h];this.words[h]=f<<26-o|c>>>o,f=c&a}return u&&0!==f&&(u.words[u.length++]=f),0===this.length&&(this.words[0]=0,this.length=1),this.strip()},s.prototype.ishrn=function(t,e,r){return i(0===this.negative),this.iushrn(t,e,r)},s.prototype.shln=function(t){return this.clone().ishln(t)},s.prototype.ushln=function(t){return this.clone().iushln(t)},s.prototype.shrn=function(t){return this.clone().ishrn(t)},s.prototype.ushrn=function(t){return this.clone().iushrn(t)},s.prototype.testn=function(t){i("number"==typeof t&&t>=0);var e=t%26,r=(t-e)/26,n=1<<e;return!(this.length<=r)&&!!(this.words[r]&n)},s.prototype.imaskn=function(t){i("number"==typeof t&&t>=0);var e=t%26,r=(t-e)/26;if(i(0===this.negative,"imaskn works only with positive numbers"),this.length<=r)return this;if(0!==e&&r++,this.length=Math.min(r,this.length),0!==e){var n=67108863^67108863>>>e<<e;this.words[this.length-1]&=n}return this.strip()},s.prototype.maskn=function(t){return this.clone().imaskn(t)},s.prototype.iaddn=function(t){return i("number"==typeof t),i(t<67108864),t<0?this.isubn(-t):0!==this.negative?1===this.length&&(0|this.words[0])<t?(this.words[0]=t-(0|this.words[0]),this.negative=0,this):(this.negative=0,this.isubn(t),this.negative=1,this):this._iaddn(t)},s.prototype._iaddn=function(t){this.words[0]+=t;for(var e=0;e<this.length&&this.words[e]>=67108864;e++)this.words[e]-=67108864,e===this.length-1?this.words[e+1]=1:this.words[e+1]++;return this.length=Math.max(this.length,e+1),this},s.prototype.isubn=function(t){if(i("number"==typeof t),i(t<67108864),t<0)return this.iaddn(-t);if(0!==this.negative)return this.negative=0,this.iaddn(t),this.negative=1,this;if(this.words[0]-=t,1===this.length&&this.words[0]<0)this.words[0]=-this.words[0],this.negative=1;else for(var e=0;e<this.length&&this.words[e]<0;e++)this.words[e]+=67108864,this.words[e+1]-=1;return this.strip()},s.prototype.addn=function(t){return this.clone().iaddn(t)},s.prototype.subn=function(t){return this.clone().isubn(t)},s.prototype.iabs=function(){return this.negative=0,this},s.prototype.abs=function(){return this.clone().iabs()},s.prototype._ishlnsubmul=function(t,e,r){var n,o,s=t.length+r;this._expand(s);var a=0;for(n=0;n<t.length;n++){o=(0|this.words[n+r])+a;var u=(0|t.words[n])*e;a=((o-=67108863&u)>>26)-(u/67108864|0),this.words[n+r]=67108863&o}for(;n<this.length-r;n++)a=(o=(0|this.words[n+r])+a)>>26,this.words[n+r]=67108863&o;if(0===a)return this.strip();for(i(-1===a),a=0,n=0;n<this.length;n++)a=(o=-(0|this.words[n])+a)>>26,this.words[n]=67108863&o;return this.negative=1,this.strip()},s.prototype._wordDiv=function(t,e){var r=(this.length,t.length),n=this.clone(),i=t,o=0|i.words[i.length-1];0!==(r=26-this._countBits(o))&&(i=i.ushln(r),n.iushln(r),o=0|i.words[i.length-1]);var a,u=n.length-i.length;if("mod"!==e){(a=new s(null)).length=u+1,a.words=new Array(a.length);for(var h=0;h<a.length;h++)a.words[h]=0}var f=n.clone()._ishlnsubmul(i,1,u);0===f.negative&&(n=f,a&&(a.words[u]=1));for(var c=u-1;c>=0;c--){var l=67108864*(0|n.words[i.length+c])+(0|n.words[i.length+c-1]);for(l=Math.min(l/o|0,67108863),n._ishlnsubmul(i,l,c);0!==n.negative;)l--,n.negative=0,n._ishlnsubmul(i,1,c),n.isZero()||(n.negative^=1);a&&(a.words[c]=l)}return a&&a.strip(),n.strip(),"div"!==e&&0!==r&&n.iushrn(r),{div:a||null,mod:n}},s.prototype.divmod=function(t,e,r){return i(!t.isZero()),this.isZero()?{div:new s(0),mod:new s(0)}:0!==this.negative&&0===t.negative?(a=this.neg().divmod(t,e),"mod"!==e&&(n=a.div.neg()),"div"!==e&&(o=a.mod.neg(),r&&0!==o.negative&&o.iadd(t)),{div:n,mod:o}):0===this.negative&&0!==t.negative?(a=this.divmod(t.neg(),e),"mod"!==e&&(n=a.div.neg()),{div:n,mod:a.mod}):0!=(this.negative&t.negative)?(a=this.neg().divmod(t.neg(),e),"div"!==e&&(o=a.mod.neg(),r&&0!==o.negative&&o.isub(t)),{div:a.div,mod:o}):t.length>this.length||this.cmp(t)<0?{div:new s(0),mod:this}:1===t.length?"div"===e?{div:this.divn(t.words[0]),mod:null}:"mod"===e?{div:null,mod:new s(this.modn(t.words[0]))}:{div:this.divn(t.words[0]),mod:new s(this.modn(t.words[0]))}:this._wordDiv(t,e);var n,o,a},s.prototype.div=function(t){return this.divmod(t,"div",!1).div},s.prototype.mod=function(t){return this.divmod(t,"mod",!1).mod},s.prototype.umod=function(t){return this.divmod(t,"mod",!0).mod},s.prototype.divRound=function(t){var e=this.divmod(t);if(e.mod.isZero())return e.div;var r=0!==e.div.negative?e.mod.isub(t):e.mod,n=t.ushrn(1),i=t.andln(1),o=r.cmp(n);return o<0||1===i&&0===o?e.div:0!==e.div.negative?e.div.isubn(1):e.div.iaddn(1)},s.prototype.modn=function(t){i(t<=67108863);for(var e=(1<<26)%t,r=0,n=this.length-1;n>=0;n--)r=(e*r+(0|this.words[n]))%t;return r},s.prototype.idivn=function(t){i(t<=67108863);for(var e=0,r=this.length-1;r>=0;r--){var n=(0|this.words[r])+67108864*e;this.words[r]=n/t|0,e=n%t}return this.strip()},s.prototype.divn=function(t){return this.clone().idivn(t)},s.prototype.egcd=function(t){i(0===t.negative),i(!t.isZero());var e=this,r=t.clone();e=0!==e.negative?e.umod(t):e.clone();for(var n=new s(1),o=new s(0),a=new s(0),u=new s(1),h=0;e.isEven()&&r.isEven();)e.iushrn(1),r.iushrn(1),++h;for(var f=r.clone(),c=e.clone();!e.isZero();){for(var l=0,d=1;0==(e.words[0]&d)&&l<26;++l,d<<=1);if(l>0)for(e.iushrn(l);l-- >0;)(n.isOdd()||o.isOdd())&&(n.iadd(f),o.isub(c)),n.iushrn(1),o.iushrn(1);for(var p=0,y=1;0==(r.words[0]&y)&&p<26;++p,y<<=1);if(p>0)for(r.iushrn(p);p-- >0;)(a.isOdd()||u.isOdd())&&(a.iadd(f),u.isub(c)),a.iushrn(1),u.iushrn(1);e.cmp(r)>=0?(e.isub(r),n.isub(a),o.isub(u)):(r.isub(e),a.isub(n),u.isub(o))}return{a:a,b:u,gcd:r.iushln(h)}},s.prototype._invmp=function(t){i(0===t.negative),i(!t.isZero());var e=this,r=t.clone();e=0!==e.negative?e.umod(t):e.clone();for(var n,o=new s(1),a=new s(0),u=r.clone();e.cmpn(1)>0&&r.cmpn(1)>0;){for(var h=0,f=1;0==(e.words[0]&f)&&h<26;++h,f<<=1);if(h>0)for(e.iushrn(h);h-- 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this._expand(r+1),this.words[r]|=n,this;for(var o=n,s=r;0!==o&&s<this.length;s++){var a=0|this.words[s];o=(a+=o)>>>26,a&=67108863,this.words[s]=a}return 0!==o&&(this.words[s]=o,this.length++),this},s.prototype.isZero=function(){return 1===this.length&&0===this.words[0]},s.prototype.cmpn=function(t){var e,r=t<0;if(0!==this.negative&&!r)return-1;if(0===this.negative&&r)return 1;if(this.strip(),this.length>1)e=1;else{r&&(t=-t),i(t<=67108863,"Number is too big");var n=0|this.words[0];e=n===t?0:n<t?-1:1}return 0!==this.negative?0|-e:e},s.prototype.cmp=function(t){if(0!==this.negative&&0===t.negative)return-1;if(0===this.negative&&0!==t.negative)return 1;var e=this.ucmp(t);return 0!==this.negative?0|-e:e},s.prototype.ucmp=function(t){if(this.length>t.length)return 1;if(this.length<t.length)return-1;for(var e=0,r=this.length-1;r>=0;r--){var n=0|this.words[r],i=0|t.words[r];if(n!==i){n<i?e=-1:n>i&&(e=1);break}}return e},s.prototype.gtn=function(t){return 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0===t.words[t.length-1]&&(t.length--,0===t.words[t.length-1]&&t.length--),t},o(_,g),o(M,g),o(S,g),S.prototype.imulK=function(t){for(var e=0,r=0;r<t.length;r++){var n=19*(0|t.words[r])+e,i=67108863&n;n>>>=26,t.words[r]=i,e=n}return 0!==e&&(t.words[t.length++]=e),t},s._prime=function(t){if(v[t])return v[t];var e;if("k256"===t)e=new w;else if("p224"===t)e=new _;else if("p192"===t)e=new M;else{if("p25519"!==t)throw new Error("Unknown prime "+t);e=new S}return v[t]=e,e},O.prototype._verify1=function(t){i(0===t.negative,"red works only with positives"),i(t.red,"red works only with red numbers")},O.prototype._verify2=function(t,e){i(0==(t.negative|e.negative),"red works only with positives"),i(t.red&&t.red===e.red,"red works only with red numbers")},O.prototype.imod=function(t){return this.prime?this.prime.ireduce(t)._forceRed(this):t.umod(this.m)._forceRed(this)},O.prototype.neg=function(t){return 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Object.defineProperty(R.prototype,"$schemaType",{configurable:!1,enumerable:!1,writable:!0}),Object.defineProperty(R.prototype,"childSchemas",{configurable:!1,enumerable:!0,writable:!0}),Object.defineProperty(R.prototype,"virtuals",{configurable:!1,enumerable:!0,writable:!0}),R.prototype.obj,R.prototype.paths,R.prototype.tree,R.prototype.clone=function(){var t=this,e=this._clone();return e.on("init",(function(e){return t.emit("init",e)})),e},R.prototype._clone=function(t){var e=new(t=t||(null==this.base?R:this.base.Schema))({},this._userProvidedOptions);return e.base=this.base,e.obj=this.obj,e.options=A.clone(this.options),e.callQueue=this.callQueue.map((function(t){return t})),e.methods=A.clone(this.methods),e.methodOptions=A.clone(this.methodOptions),e.statics=A.clone(this.statics),e.query=A.clone(this.query),e.plugins=Array.prototype.slice.call(this.plugins),e._indexes=A.clone(this._indexes),e.s.hooks=this.s.hooks.clone(),e.tree=A.clone(this.tree),e.paths=A.clone(this.paths),e.nested=A.clone(this.nested),e.subpaths=A.clone(this.subpaths),e.singleNestedPaths=A.clone(this.singleNestedPaths),e.childSchemas=
/*!
 * ignore
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function(t){for(var e=[],r=0,n=Object.keys(t.paths);r<n.length;r++){var i=n[r],o=t.paths[i];(o.$isMongooseDocumentArray||o.$isSingleNested)&&e.push({schema:o.schema,model:o.caster})}return e}
/*!
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 */(e),e.virtuals=A.clone(this.virtuals),e.$globalPluginsApplied=this.$globalPluginsApplied,e.$isRootDiscriminator=this.$isRootDiscriminator,e.$implicitlyCreated=this.$implicitlyCreated,e.$id=++P,e.$originalSchemaId=this.$id,e.mapPaths=[].concat(this.mapPaths),null!=this.discriminatorMapping&&(e.discriminatorMapping=Object.assign({},this.discriminatorMapping)),null!=this.discriminators&&(e.discriminators=Object.assign({},this.discriminators)),e.aliases=Object.assign({},this.aliases),e},R.prototype.pick=function(t,e){var r=new R({},e||this.options);if(!Array.isArray(t))throw new c('Schema#pick() only accepts an array argument, got "'+o(t)+'"');var n,a=s(t);try{for(a.s();!(n=a.n()).done;){var u=n.value;if(this.nested[u])r.add(i({},u,b(this.tree,u)));else{var h=this.path(u);if(null==h)throw new c("Path `"+u+"` is not in the schema");r.add(i({},u,h))}}}catch(t){a.e(t)}finally{a.f()}return r},R.prototype.defaultOptions=function(t){this._userProvidedOptions=null==t?{}:A.clone(t);var e=this.base&&this.base.options||{},r=!("strict"in e)||e.strict;if((t=A.options({strict:r,strictQuery:"strict"in this._userProvidedOptions?this._userProvidedOptions.strict:"strictQuery"in e?e.strictQuery:r,bufferCommands:!0,capped:!1,versionKey:"__v",optimisticConcurrency:!1,minimize:!0,autoIndex:null,discriminatorKey:"__t",shardKey:null,read:null,validateBeforeSave:!0,_id:!0,id:!0,typeKey:"type"},A.clone(t))).read&&(t.read=S(t.read)),t.versionKey&&"string"!=typeof t.versionKey)throw new c("`versionKey` must be falsy or string, got `"+o(t.versionKey)+"`");if(t.optimisticConcurrency&&!t.versionKey)throw new c("Must set `versionKey` if using `optimisticConcurrency`");return t},R.prototype.add=function(t,e){if(t instanceof R||null!=t&&t.instanceOfSchema)return _(this,t),this;if(!1===t._id&&null==e&&(this.options._id=!1),"__proto__."===(e=e||"")||"constructor."===e||"prototype."===e)return this;for(var r=Object.keys(t),n=this.options.typeKey,i=0,o=r;i<o.length;i++){var a=o[i],u=e+a,h=t[a];if(null==h)throw new TypeError("Invalid value for schema path `"+u+'`, got value "'+h+'"');if("_id"!==a||!1!==h)if(h instanceof y||"VirtualType"===(h.constructor&&h.constructor.name||null))this.virtual(h);else{if(Array.isArray(h)&&1===h.length&&null==h[0])throw new TypeError("Invalid value for schema Array path `"+u+'`, got value "'+h[0]+'"');if($(h)||h instanceof d)if(Object.keys(h).length<1)e&&(this.nested[e.substring(0,e.length-1)]=!0),this.path(u,h);else if(!h[n]||"type"===n&&$(h.type)&&h.type.type)this.nested[u]=!0,this.add(h,u+".");else{var f=h[n];if($(f)&&Object.keys(f).length>0){e&&(this.nested[e.substring(0,e.length-1)]=!0);var c=new R(f),l=Object.assign({},h,{type:c});this.path(e+a,l)}else e&&(this.nested[e.substring(0,e.length-1)]=!0),this.path(e+a,h)}else e&&(this.nested[e.substring(0,e.length-1)]=!0),this.path(e+a,h)}}return function(t,e){var r,n=s(e=e||Object.keys(t.paths));try{for(n.s();!(r=n.n()).done;){var i=r.value,o=b(t.paths[i],"options");if(null!=o){var a=t.paths[i].path,u=o.alias;if(u){if("string"!=typeof u)throw new Error("Invalid value for alias option on "+a+", got "+u);t.aliases[u]=a,t.virtual(u).get(function(t){return function(){return"function"==typeof this.get?this.get(t):this[t]}}(a)).set(function(t){return function(e){return this.$set(t,e)}}(a))}}}}catch(t){n.e(t)}finally{n.f()}}(this,Object.keys(t).map((function(t){return e?e+t:t}))),this},R.reserved=Object.create(null),R.prototype.reserved=R.reserved;var B=R.reserved;
/*!
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function T(t){return/\.\d+/.test(t)?t.replace(/\.\d+\./g,".$.").replace(/\.\d+$/,".$"):t}
/*!
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/*!
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function N(t,e){var r=e.split(/\.(\d+)\.|\.(\d+)$/).filter(Boolean);if(r.length<2)return t.paths.hasOwnProperty(r[0])?t.paths[r[0]]:"adhocOrUndefined";var n=t.path(r[0]),i=!1;if(!n)return"adhocOrUndefined";for(var o=r.length-1,s=1;s<r.length;++s){i=!1;var a=r[s];if(s===o&&n&&!/\D/.test(a)){n=n.$isMongooseDocumentArray?n.$embeddedSchemaType:n instanceof u.Array?n.caster:void 0;break}if(/\D/.test(a)){if(!n||!n.schema){n=void 0;break}i="nested"===n.schema.pathType(a),n=n.schema.path(a)}else n instanceof u.Array&&s!==o&&(n=n.caster)}return t.subpaths[e]=n,n?"real":i?"nested":"adhocOrUndefined"}
/*!
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Please make sure you're using the same version of Mongoose everywhere with `npm list mongoose`.");return new a.DocumentArray(t,c[r.typeKey],e,c)}if(Array.isArray(c))return new a.Array(t,this.interpretAsType(t,c,r),e);var p=null==c||!c[r.typeKey]||"type"===r.typeKey&&c.type.type?c:c[r.typeKey];if("string"==typeof c)c=a[c.charAt(0).toUpperCase()+c.substring(1)];else if(A.isPOJO(p)){if(Object.keys(p).length){var y={minimize:r.minimize};r.typeKey&&(y.typeKey=r.typeKey),r.hasOwnProperty("strict")&&(y.strict=r.strict),this._userProvidedOptions.hasOwnProperty("_id")?y._id=this._userProvidedOptions._id:null!=R.Types.DocumentArray.defaultOptions._id&&(y._id=R.Types.DocumentArray.defaultOptions._id);var m=new R(p,y);return m.$implicitlyCreated=!0,new a.DocumentArray(t,m,e)}return new a.Array(t,a.Mixed,e)}if(c){if(f=!c[r.typeKey]||"type"===r.typeKey&&c.type.type?c:c[r.typeKey],Array.isArray(f))return new a.Array(t,this.interpretAsType(t,f,r),e);if("ClockDate"===(h="string"==typeof f?f:f.schemaName||A.getFunctionName(f))&&(h="Date"),void 0===h)throw new TypeError("Invalid schema configuration: "+"Could not determine the embedded type for array `".concat(t,"`. ")+"See https://mongoosejs.com/docs/guide.html#definition for more info on supported schema syntaxes.");if(!a.hasOwnProperty(h))throw new TypeError("Invalid schema configuration: "+"`".concat(h,"` is not a valid type within the array `").concat(t,"`.")+"See https://bit.ly/mongoose-schematypes for a list of valid schema types.")}return new a.Array(t,c||a.Mixed,e,r)}if(f&&f.instanceOfSchema)return new a.Subdocument(f,t,e);if((h=n.isBuffer(f)?"Buffer":"function"==typeof f||"object"===o(f)?f.schemaName||A.getFunctionName(f):null==f?""+f:f.toString())&&(h=h.charAt(0).toUpperCase()+h.substring(1)),"ObjectID"===h&&(h="ObjectId"),"ClockDate"===h&&(h="Date"),void 0===h)throw new TypeError("Invalid schema configuration: `".concat(t,"` schematype definition is ")+"invalid. See https://mongoosejs.com/docs/guide.html#definition for more info on supported schema syntaxes.");if(null==a[h])throw new TypeError("Invalid schema configuration: `".concat(h,"` is not ")+"a valid type at path `".concat(t,"`. See ")+"https://bit.ly/mongoose-schematypes for a list of valid schema types.");var b=new a[h](t,e);return b.$isSchemaMap&&
/*!
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function(t,e,r,n,o){var s=r+".$*",a={type:{}};if(A.hasUserDefinedProperty(n,"of")){var u=A.isPOJO(n.of)&&Object.keys(n.of).length>0&&!A.hasUserDefinedProperty(n.of,t.options.typeKey);a=u?i({},t.options.typeKey,new R(n.of)):A.isPOJO(n.of)?Object.assign({},n.of):i({},t.options.typeKey,n.of),A.hasUserDefinedProperty(n,"ref")&&(a.ref=n.ref)}e.$__schemaType=t.interpretAsType(s,a,o)}(this,b,t,e,r),b},R.prototype.eachPath=function(t){for(var e=Object.keys(this.paths),r=e.length,n=0;n<r;++n)t(e[n],this.paths[e[n]]);return this},R.prototype.requiredPaths=function(t){if(this._requiredpaths&&!t)return this._requiredpaths;for(var e=Object.keys(this.paths),r=e.length,n=[];r--;){var i=e[r];this.paths[i].isRequired&&n.push(i)}return this._requiredpaths=n,this._requiredpaths},R.prototype.indexedPaths=function(){return this._indexedpaths||(this._indexedpaths=this.indexes()),this._indexedpaths},R.prototype.pathType=function(t){var e=T(t);if(this.paths.hasOwnProperty(t))return"real";if(this.virtuals.hasOwnProperty(t))return"virtual";if(this.nested.hasOwnProperty(t))return"nested";if(this.subpaths.hasOwnProperty(e)||this.subpaths.hasOwnProperty(t))return"real";var r=this.singleNestedPaths.hasOwnProperty(e)||this.singleNestedPaths.hasOwnProperty(t);return r?"nested"===r?"nested":"real":null!=I(this,t)?"real":/\.\d+\.|\.\d+$/.test(t)?N(this,t):"adhocOrUndefined"},R.prototype.hasMixedParent=function(t){var e=t.split(/\./g);t="";for(var r=0;r<e.length;++r)if(t=r>0?t+"."+e[r]:e[r],this.paths.hasOwnProperty(t)&&this.paths[t]instanceof u.Mixed)return this.paths[t];return null},R.prototype.setupTimestamp=function(t){return O(this,t)},R.prototype.queue=function(t,e){return this.callQueue.push([t,e]),this},R.prototype.pre=function(t){if(t instanceof RegExp){var e,r=Array.prototype.slice.call(arguments,1),n=s(j);try{for(n.s();!(e=n.n()).done;){var i=e.value;t.test(i)&&this.pre.apply(this,[i].concat(r))}}catch(t){n.e(t)}finally{n.f()}return this}if(Array.isArray(t)){var o,a=Array.prototype.slice.call(arguments,1),u=s(t);try{for(u.s();!(o=u.n()).done;){var h=o.value;this.pre.apply(this,[h].concat(a))}}catch(t){u.e(t)}finally{u.f()}return this}return this.s.hooks.pre.apply(this.s.hooks,arguments),this},R.prototype.post=function(t){if(t instanceof RegExp){var e,r=Array.prototype.slice.call(arguments,1),n=s(j);try{for(n.s();!(e=n.n()).done;){var i=e.value;t.test(i)&&this.post.apply(this,[i].concat(r))}}catch(t){n.e(t)}finally{n.f()}return this}if(Array.isArray(t)){var o,a=Array.prototype.slice.call(arguments,1),u=s(t);try{for(u.s();!(o=u.n()).done;){var h=o.value;this.post.apply(this,[h].concat(a))}}catch(t){u.e(t)}finally{u.f()}return this}return this.s.hooks.post.apply(this.s.hooks,arguments),this},R.prototype.plugin=function(t,e){if("function"!=typeof t)throw new Error('First param to `schema.plugin()` must be a function, got "'+o(t)+'"');if(e&&e.deduplicate){var r,n=s(this.plugins);try{for(n.s();!(r=n.n()).done;){if(r.value.fn===t)return this}}catch(t){n.e(t)}finally{n.f()}}return this.plugins.push({fn:t,opts:e}),t(this,e),this},R.prototype.method=function(t,e,r){if("string"!=typeof t)for(var n in t)this.methods[n]=t[n],this.methodOptions[n]=A.clone(r);else this.methods[t]=e,this.methodOptions[t]=A.clone(r);return this},R.prototype.static=function(t,e){if("string"!=typeof t)for(var r in t)this.statics[r]=t[r];else this.statics[t]=e;return this},R.prototype.index=function(t,e){return t||(t={}),e||(e={}),e.expires&&A.expires(e),this._indexes.push([t,e]),this},R.prototype.set=function(t,e,r){if(1===arguments.length)return this.options[t];switch(t){case"read":this.options[t]=S(e,r),this._userProvidedOptions[t]=this.options[t];break;case"timestamps":this.setupTimestamp(e),this.options[t]=e,this._userProvidedOptions[t]=this.options[t];break;case"_id":this.options[t]=e,this._userProvidedOptions[t]=this.options[t],e&&!this.paths._id?m(this):!e&&null!=this.paths._id&&this.paths._id.auto&&this.remove("_id");break;default:this.options[t]=e,this._userProvidedOptions[t]=this.options[t]}return this},R.prototype.get=function(t){return this.options[t]};var D="2d 2dsphere hashed text".split(" ");
/*!
 * ignore
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function C(t,e){var r,n=e.split("."),i=n.pop(),o=t.tree,a=s(n);try{for(a.s();!(r=a.n()).done;){o=o[r.value]}}catch(t){a.e(t)}finally{a.f()}delete o[i]}
/*!
 * ignore
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function L(t){return t.startsWith("$[")&&t.endsWith("]")}
/*!
 * Called by `compile()` _right before_ compiling. Good for making any changes to
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/*!
 * ignore
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R.prototype._getSchema=function(t){var e=this.path(t),r=[];if(e)return e.$fullPath=t,e;for(var n=t.split("."),i=0;i<n.length;++i)("$"===n[i]||L(n[i]))&&(n[i]="0");return function t(e,n){for(var i,o,s=e.length+1;s--;)if(o=e.slice(0,s).join("."),i=n.path(o)){if(r.push(o),i.caster){if(i.caster instanceof u.Mixed)return i.caster.$fullPath=r.join("."),i.caster;if(s!==e.length&&i.schema){var a=void 0;return"$"===e[s]||L(e[s])?s+1===e.length?i:((a=t(e.slice(s+1),i.schema))&&(a.$isUnderneathDocArray=a.$isUnderneathDocArray||!i.schema.$isSingleNested),a):((a=t(e.slice(s),i.schema))&&(a.$isUnderneathDocArray=a.$isUnderneathDocArray||!i.schema.$isSingleNested),a)}}else if(i.$isSchemaMap){return s>=e.length?i:s+1>=e.length?i.$__schemaType:t(e.slice(s+1),i.$__schemaType.schema)}return i.$fullPath=r.join("."),i}}(n,this)},
/*!
 * ignore
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R.prototype._getPathType=function(t){if(this.path(t))return"real";return function t(e,r){for(var n,i,o=e.length+1;o--;){if(i=e.slice(0,o).join("."),n=r.path(i))return n.caster?n.caster instanceof u.Mixed?{schema:n,pathType:"mixed"}:o!==e.length&&n.schema?"$"===e[o]||L(e[o])?o===e.length-1?{schema:n,pathType:"nested"}:t(e.slice(o+1),n.schema):t(e.slice(o),n.schema):{schema:n,pathType:n.$isSingleNested?"nested":"array"}:{schema:n,pathType:"real"};if(o===e.length&&r.nested[i])return{schema:r,pathType:"nested"}}return{schema:n||r,pathType:"undefined"}}(t.split("."),this)},R.prototype._preCompile=function(){w(this)},
/*!
 * Module exports.
 */
t.exports=e=R,R.Types=u=r(87),
/*!
 * ignore
 */
e.ObjectId=u.ObjectId}).call(this,r(3).Buffer)},function(t,e,r){"use strict";function n(t,e){var r="undefined"!=typeof Symbol&&t[Symbol.iterator]||t["@@iterator"];if(!r){if(Array.isArray(t)||(r=function(t,e){if(!t)return;if("string"==typeof t)return i(t,e);var r=Object.prototype.toString.call(t).slice(8,-1);"Object"===r&&t.constructor&&(r=t.constructor.name);if("Map"===r||"Set"===r)return Array.from(t);if("Arguments"===r||/^(?:Ui|I)nt(?:8|16|32)(?:Clamped)?Array$/.test(r))return i(t,e)}(t))||e&&t&&"number"==typeof t.length){r&&(t=r);var n=0,o=function(){};return{s:o,n:function(){return n>=t.length?{done:!0}:{done:!1,value:t[n++]}},e:function(t){throw t},f:o}}throw new TypeError("Invalid attempt to iterate non-iterable instance.\nIn order to be iterable, non-array objects must have a [Symbol.iterator]() method.")}var s,a=!0,u=!1;return{s:function(){r=r.call(t)},n:function(){var t=r.next();return a=t.done,t},e:function(t){u=!0,s=t},f:function(){try{a||null==r.return||r.return()}finally{if(u)throw s}}}}function i(t,e){(null==e||e>t.length)&&(e=t.length);for(var r=0,n=new Array(e);r<e;r++)n[r]=t[r];return n}var o=r(4);function s(t,e){this.path=e,this.getters=[],this.setters=[],this.options=Object.assign({},t)}s.prototype._applyDefaultGetters=function(){if(!(this.getters.length>0||this.setters.length>0)){var t="$"+this.path;this.getters.push((function(){return this[t]})),this.setters.push((function(e){this[t]=e}))}},
/*!
 * ignore
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s.prototype.clone=function(){var t=new s(this.options,this.path);return t.getters=[].concat(this.getters),t.setters=[].concat(this.setters),t},s.prototype.get=function(t){return this.getters.push(t),this},s.prototype.set=function(t){return this.setters.push(t),this},s.prototype.applyGetters=function(t,e){o.hasUserDefinedProperty(this.options,["ref","refPath"])&&e.$$populatedVirtuals&&e.$$populatedVirtuals.hasOwnProperty(this.path)&&(t=e.$$populatedVirtuals[this.path]);var r,i=t,s=n(this.getters);try{for(s.s();!(r=s.n()).done;){i=r.value.call(e,i,this,e)}}catch(t){s.e(t)}finally{s.f()}return i},s.prototype.applySetters=function(t,e){var r,i=t,o=n(this.setters);try{for(o.s();!(r=o.n()).done;){i=r.value.call(e,i,this,e)}}catch(t){o.e(t)}finally{o.f()}return i},
/*!
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t.exports=s},function(t,e,r){"use strict";
/*!
 * Module exports.
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/*!
 * Module dependencies.
 */function n(t,e){var r="undefined"!=typeof Symbol&&t[Symbol.iterator]||t["@@iterator"];if(!r){if(Array.isArray(t)||(r=function(t,e){if(!t)return;if("string"==typeof t)return i(t,e);var r=Object.prototype.toString.call(t).slice(8,-1);"Object"===r&&t.constructor&&(r=t.constructor.name);if("Map"===r||"Set"===r)return Array.from(t);if("Arguments"===r||/^(?:Ui|I)nt(?:8|16|32)(?:Clamped)?Array$/.test(r))return i(t,e)}(t))||e&&t&&"number"==typeof t.length){r&&(t=r);var n=0,o=function(){};return{s:o,n:function(){return n>=t.length?{done:!0}:{done:!1,value:t[n++]}},e:function(t){throw t},f:o}}throw new TypeError("Invalid attempt to iterate non-iterable instance.\nIn order to be iterable, non-array objects must have a [Symbol.iterator]() method.")}var s,a=!0,u=!1;return{s:function(){r=r.call(t)},n:function(){var t=r.next();return a=t.done,t},e:function(t){u=!0,s=t},f:function(){try{a||null==r.return||r.return()}finally{if(u)throw s}}}}function i(t,e){(null==e||e>t.length)&&(e=t.length);for(var r=0,n=new Array(e);r<e;r++)n[r]=t[r];return n}var o,s,a=r(83),u=r(153),h=r(19),f=r(323),c=r(8),l=c.CastError,d=r(45),p=r(324),y=r(325),m=r(164),b=r(9),v=r(4),g=r(56).castToNumber,w=r(165),_=r(57),M=Symbol("mongoose#isNestedArray"),S=Object.freeze({});function O(t,e,n,i){s||(s=r(58).Embedded);var o,a,u="type";if(i&&i.typeKey&&(u=i.typeKey),this.schemaOptions=i,e){var h={};v.isPOJO(e)&&(e[u]?(delete(h=v.clone(e))[u],e=e[u]):e=d),null!=n&&null!=n.ref&&null==h.ref&&(h.ref=n.ref),e===Object&&(e=d);var f="string"==typeof e?e:v.getFunctionName(e),l=r(87),p=l.hasOwnProperty(f)?l[f]:e;if(this.casterConstructor=p,this.casterConstructor instanceof O&&(this.casterConstructor[M]=!0),"function"!=typeof p||p.$isArraySubdocument||p.$isSchemaMap)this.caster=p,this.caster instanceof s||(this.caster.path=t);else{var y=this.caster instanceof s?null:t;this.caster=new p(y,h)}this.$embeddedSchemaType=this.caster}if(this.$isMongooseArray=!0,c.call(this,t,n,"Array"),null!=this.defaultValue&&(o=this.defaultValue,a="function"==typeof o),!("defaultValue"in this)||void 0!==this.defaultValue){var m=function(){return a?o.call(this):null!=o?[].concat(o):[]};m.$runBeforeSetters=!a,this.default(m)}}O.schemaName="Array",O.options={castNonArrays:!0},
/*!
 * ignore
 */
O.defaultOptions={},O.set=c.set,
/*!
 * Inherits from SchemaType.
 */
O.prototype=Object.create(c.prototype),O.prototype.constructor=O,O.prototype.OptionsConstructor=f,
/*!
 * ignore
 */
O._checkRequired=c.prototype.checkRequired,O.checkRequired=c.checkRequired,O.prototype.checkRequired=function(t,e){return c._isRef(this,t,e,!0)?!!t:("function"==typeof this.constructor.checkRequired?this.constructor.checkRequired():O.checkRequired())(t)},O.prototype.enum=function(){for(var t=this;;){var e=t&&t.caster&&t.caster.instance;if("Array"!==e){if("String"!==e&&"Number"!==e)throw new Error("`enum` can only be set on an array of strings or numbers , not "+e);break}t=t.caster}var r=arguments;return!Array.isArray(arguments)&&v.isObject(arguments)&&(r=v.object.vals(r)),t.caster.enum.apply(t.caster,r),this},O.prototype.applyGetters=function(t,e){if(null!=e&&null!=e.$__&&e.$populated(this.path))return t;var r=c.prototype.applyGetters.call(this,t,e);if(Array.isArray(r))for(var n=v.isMongooseArray(r)?r.__array:r,i=n.length,o=0;o<i;++o)n[o]=this.caster.applyGetters(n[o],e);return r},O.prototype._applySetters=function(t,e,r,n){if(this.casterConstructor.$isMongooseArray&&O.options.castNonArrays&&!this[M]){for(var i=0,o=this;null!=o&&o.$isMongooseArray&&!o.$isMongooseDocumentArray;)++i,o=o.casterConstructor;if(null!=t&&0!==t.length){var s=p(t);if(s.min===s.max&&s.max<i&&s.containsNonArrayItem)for(var a=s.max;a<i;++a)t=[t]}}return c.prototype._applySetters.call(this,t,e,r,n)},O.prototype.cast=function(t,e,n,i,s){var a,u;if(o||(o=r(58).Array),Array.isArray(t)){if(!t.length&&e){var h=e.schema.indexedPaths(),f=this.path;for(a=0,u=h.length;a<u;++a){var c=h[a][0][f];if("2dsphere"===c||"2d"===c)return}var p=this.path.endsWith(".coordinates")?this.path.substring(0,this.path.lastIndexOf(".")):null;if(null!=p)for(a=0,u=h.length;a<u;++a){if("2dsphere"===h[a][0][p])return}}s=s||S;var y=v.isMongooseArray(t)?t.__array:t;if(y=(t=o(y,s.path||this._arrayPath||this.path,e,this)).__array,n&&null!=e&&null!=e.$__&&e.$populated(this.path))return t;var m=this.caster,g=m.$isMongooseArray;if(m&&this.casterConstructor!==d)try{var w=y.length;for(a=0;a<w;a++){var _={};g&&(null!=s.arrayPath||null!=m._arrayParentPath)&&(_.arrayPathIndex=a),y[a]=m.applySetters(y[a],e,n,void 0,_)}}catch(e){throw new l("["+e.kind+"]",b.inspect(t),this.path+"."+a,e,this)}return t}if(n||O.options.castNonArrays)return e&&n&&e.markModified(this.path),this.cast([t],e,n);throw new l("Array",b.inspect(t),this.path,null,this)},
/*!
 * ignore
 */
O.prototype._castForPopulate=function(t,e){if(o||(o=r(58).Array),Array.isArray(t)){var n,i=t.__array?t.__array:t,s=i.length,a=this.caster;if(a&&this.casterConstructor!==d)try{for(n=0;n<s;n++){var u={};a.$isMongooseArray&&null!=a._arrayParentPath&&(u.arrayPathIndex=n),i[n]=a.cast(i[n],e,!1,void 0,u)}}catch(e){throw new l("["+e.kind+"]",b.inspect(t),this.path+"."+n,e,this)}return t}throw new l("Array",b.inspect(t),this.path,null,this)},O.prototype.$toObject=O.prototype.toObject,
/*!
 * Ignore
 */
O.prototype.discriminator=function(t,e){for(var r=this;r.$isMongooseArray&&!r.$isMongooseDocumentArray;)if(null==(r=r.casterConstructor)||"function"==typeof r)throw new h("You can only add an embedded discriminator on a document array, "+this.path+" is a plain array");return r.discriminator(t,e)},
/*!
 * ignore
 */
O.prototype.clone=function(){var t=Object.assign({},this.options),e=new this.constructor(this.path,this.caster,t,this.schemaOptions);return e.validators=this.validators.slice(),void 0!==this.requiredValidator&&(e.requiredValidator=this.requiredValidator),e},O.prototype.castForQuery=function(t,e){var r,n,i=this;if(2===arguments.length){if(!(r=this.$conditionalHandlers[t]))throw new Error("Can't use "+t+" with Array.");n=r.call(this,e)}else{n=t;var o=this.casterConstructor;if(n&&o.discriminators&&o.schema&&o.schema.options&&o.schema.options.discriminatorKey)if("string"==typeof n[o.schema.options.discriminatorKey]&&o.discriminators[n[o.schema.options.discriminatorKey]])o=o.discriminators[n[o.schema.options.discriminatorKey]];else{var s=_(o.discriminators,n[o.schema.options.discriminatorKey]);s&&(o=s)}var a=this.casterConstructor.prototype,u=a&&(a.castForQuery||a.cast);!u&&o.castForQuery&&(u=o.castForQuery);var h=this.caster;Array.isArray(n)?(this.setters.reverse().forEach((function(t){n=t.call(i,n,i)})),n=n.map((function(t){return v.isObject(t)&&t.$elemMatch?t:u?t=u.call(h,t):null!=t?t=new o(t):t}))):u?n=u.call(h,n):null!=n&&(n=new o(n))}return n};var A=O.prototype.$conditionalHandlers={};function E(t){return function(e){if(!Array.isArray(e))throw new TypeError("conditional "+t+" requires an array");var r,i=[],o=n(e);try{for(o.s();!(r=o.n()).done;){var s=r.value;i.push(y(this.casterConstructor.schema,s))}}catch(t){o.e(t)}finally{o.f()}return i}}A.$all=function(t){return Array.isArray(t)||(t=[t]),t=t.map((function(t){if(!v.isObject(t))return t;if(null!=t.$elemMatch)return{$elemMatch:y(this.casterConstructor.schema,t.$elemMatch)};var e={};return e[this.path]=t,y(this.casterConstructor.schema,e)[this.path]}),this),this.castForQuery(t)},A.$options=String,A.$elemMatch=function(t){for(var e=Object.keys(t),r=e.length,n=0;n<r;++n){var i=e[n],o=t[i];m(i)&&null!=o&&(t[i]=this.castForQuery(i,o))}var s=this&&this.casterConstructor&&this.casterConstructor.schema&&this.casterConstructor.schema.options&&this.casterConstructor.schema.options.discriminatorKey,a=this&&this.casterConstructor&&this.casterConstructor.schema&&this.casterConstructor.schema.discriminators||{};return null!=s&&null!=t[s]&&null!=a[t[s]]?y(a[t[s]],t):y(this.casterConstructor.schema,t)},A.$geoIntersects=w.cast$geoIntersects,A.$or=E("$or"),A.$and=E("$and"),A.$nor=E("$nor"),A.$near=A.$nearSphere=w.cast$near,A.$within=A.$geoWithin=w.cast$within,A.$size=A.$minDistance=A.$maxDistance=g,A.$exists=a,A.$type=u,A.$eq=A.$gt=A.$gte=A.$lt=A.$lte=A.$ne=A.$regex=O.prototype.castForQuery,A.$nin=c.prototype.$conditionalHandlers.$nin,A.$in=c.prototype.$conditionalHandlers.$in,
/*!
 * Module exports.
 */
t.exports=O},function(t,e,r){"use strict";(function(e){function n(t,e){var r="undefined"!=typeof Symbol&&t[Symbol.iterator]||t["@@iterator"];if(!r){if(Array.isArray(t)||(r=function(t,e){if(!t)return;if("string"==typeof t)return i(t,e);var r=Object.prototype.toString.call(t).slice(8,-1);"Object"===r&&t.constructor&&(r=t.constructor.name);if("Map"===r||"Set"===r)return Array.from(t);if("Arguments"===r||/^(?:Ui|I)nt(?:8|16|32)(?:Clamped)?Array$/.test(r))return i(t,e)}(t))||e&&t&&"number"==typeof t.length){r&&(t=r);var n=0,o=function(){};return{s:o,n:function(){return n>=t.length?{done:!0}:{done:!1,value:t[n++]}},e:function(t){throw t},f:o}}throw new TypeError("Invalid attempt to iterate non-iterable instance.\nIn order to be iterable, non-array objects must have a [Symbol.iterator]() method.")}var s,a=!0,u=!1;return{s:function(){r=r.call(t)},n:function(){var t=r.next();return a=t.done,t},e:function(t){u=!0,s=t},f:function(){try{a||null==r.return||r.return()}finally{if(u)throw s}}}}function i(t,e){(null==e||e>t.length)&&(e=t.length);for(var r=0,n=new Array(e);r<e;r++)n[r]=t[r];return n}var o=r(13),s=r(46),a=r(19),u=r(18),h=r(167),f=r(34).internalToObjectOptions,c=r(4),l=r(1).arrayAtomicsSymbol,d=r(1).arrayParentSymbol,p=r(1).arrayPathSymbol,y=r(1).arraySchemaSymbol,m=r(1).populateModelSymbol,b=Symbol("mongoose#Array#sliced"),v=Array.prototype.push,g={$__getAtomics:function(){var t=[],e=Object.keys(this[l]||{}),r=e.length,n=Object.assign({},f,{_isNested:!0});if(0===r)return t[0]=["$set",this.toObject(n)],t;for(;r--;){var i=e[r],o=this[l][i];c.isMongooseObject(o)?o=o.toObject(n):Array.isArray(o)?o=this.toObject.call(o,n):null!=o&&Array.isArray(o.$each)?o.$each=this.toObject.call(o.$each,n):null!=o&&"function"==typeof o.valueOf&&(o=o.valueOf()),"$addToSet"===i&&(o={$each:o}),t.push([i,o])}return t},
/*!
   * ignore
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$atomics:function(){return this[l]},
/*!
   * ignore
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$parent:function(){return this[d]},
/*!
   * ignore
   */
$path:function(){return this[p]},$shift:function(){if(this._registerAtomic("$pop",-1),this._markModified(),!this._shifted)return this._shifted=!0,[].shift.call(this)},$pop:function(){if(this._registerAtomic("$pop",1),this._markModified(),!this._popped)return this._popped=!0,[].pop.call(this)},
/*!
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r=0,n=0;n<4;n++){r<<=4,r|=i[64*n+(t>>>18-6*n&63)]}for(n=0;n<4;n++){r<<=4,r|=i[256+64*n+(e>>>18-6*n&63)]}return r>>>0};var o=[16,25,12,11,3,20,4,15,31,17,9,6,27,14,1,22,30,24,8,18,0,5,29,23,13,19,2,26,10,21,28,7];e.permute=function(t){for(var e=0,r=0;r<o.length;r++)e<<=1,e|=t>>>o[r]&1;return e>>>0},e.padSplit=function(t,e,r){for(var n=t.toString(2);n.length<e;)n="0"+n;for(var i=[],o=0;o<e;o+=r)i.push(n.slice(o,o+r));return i.join(" ")}},function(t,e,r){"use strict";var n=r(10),i=r(0),o=r(118),s=r(66);function a(){this.tmp=new Array(2),this.keys=null}function u(t){s.call(this,t);var e=new a;this._desState=e,this.deriveKeys(e,t.key)}i(u,s),t.exports=u,u.create=function(t){return new u(t)};var h=[1,1,2,2,2,2,2,2,1,2,2,2,2,2,2,1];u.prototype.deriveKeys=function(t,e){t.keys=new Array(32),n.equal(e.length,this.blockSize,"Invalid key length");var r=o.readUInt32BE(e,0),i=o.readUInt32BE(e,4);o.pc1(r,i,t.tmp,0),r=t.tmp[0],i=t.tmp[1];for(var s=0;s<t.keys.length;s+=2){var a=h[s>>>1];r=o.r28shl(r,a),i=o.r28shl(i,a),o.pc2(r,i,t.keys,s)}},u.prototype._update=function(t,e,r,n){var i=this._desState,s=o.readUInt32BE(t,e),a=o.readUInt32BE(t,e+4);o.ip(s,a,i.tmp,0),s=i.tmp[0],a=i.tmp[1],"encrypt"===this.type?this._encrypt(i,s,a,i.tmp,0):this._decrypt(i,s,a,i.tmp,0),s=i.tmp[0],a=i.tmp[1],o.writeUInt32BE(r,s,n),o.writeUInt32BE(r,a,n+4)},u.prototype._pad=function(t,e){for(var r=t.length-e,n=e;n<t.length;n++)t[n]=r;return!0},u.prototype._unpad=function(t){for(var e=t[t.length-1],r=t.length-e;r<t.length;r++)n.equal(t[r],e);return t.slice(0,t.length-e)},u.prototype._encrypt=function(t,e,r,n,i){for(var s=e,a=r,u=0;u<t.keys.length;u+=2){var h=t.keys[u],f=t.keys[u+1];o.expand(a,t.tmp,0),h^=t.tmp[0],f^=t.tmp[1];var c=o.substitute(h,f),l=a;a=(s^o.permute(c))>>>0,s=l}o.rip(a,s,n,i)},u.prototype._decrypt=function(t,e,r,n,i){for(var s=r,a=e,u=t.keys.length-2;u>=0;u-=2){var h=t.keys[u],f=t.keys[u+1];o.expand(s,t.tmp,0),h^=t.tmp[0],f^=t.tmp[1];var c=o.substitute(h,f),l=s;s=(a^o.permute(c))>>>0,a=l}o.rip(s,a,n,i)}},function(t,e,r){var n=r(38),i=r(2).Buffer,o=r(121);function s(t){var e=t._cipher.encryptBlockRaw(t._prev);return o(t._prev),e}e.encrypt=function(t,e){var r=Math.ceil(e.length/16),o=t._cache.length;t._cache=i.concat([t._cache,i.allocUnsafe(16*r)]);for(var a=0;a<r;a++){var u=s(t),h=o+16*a;t._cache.writeUInt32BE(u[0],h+0),t._cache.writeUInt32BE(u[1],h+4),t._cache.writeUInt32BE(u[2],h+8),t._cache.writeUInt32BE(u[3],h+12)}var f=t._cache.slice(0,e.length);return t._cache=t._cache.slice(e.length),n(e,f)}},function(t,e){t.exports=function(t){for(var e,r=t.length;r--;){if(255!==(e=t.readUInt8(r))){e++,t.writeUInt8(e,r);break}t.writeUInt8(0,r)}}},function(t){t.exports=JSON.parse('{"aes-128-ecb":{"cipher":"AES","key":128,"iv":0,"mode":"ECB","type":"block"},"aes-192-ecb":{"cipher":"AES","key":192,"iv":0,"mode":"ECB","type":"block"},"aes-256-ecb":{"cipher":"AES","key":256,"iv":0,"mode":"ECB","type":"block"},"aes-128-cbc":{"cipher":"AES","key":128,"iv":16,"mode":"CBC","type":"block"},"aes-192-cbc":{"cipher":"AES","key":192,"iv":16,"mode":"CBC","type":"block"},"aes-256-cbc":{"cipher":"AES","key":256,"iv":16,"mode":"CBC","type":"block"},"aes128":{"cipher":"AES","key":128,"iv":16,"mode":"CBC","type":"block"},"aes192":{"cipher":"AES","key":192,"iv":16,"mode":"CBC","type":"block"},"aes256":{"cipher":"AES","key":256,"iv":16,"mode":"CBC","type":"block"},"aes-128-cfb":{"cipher":"AES","key":128,"iv":16,"mode":"CFB","type":"stream"},"aes-192-cfb":{"cipher":"AES","key":192,"iv":16,"mode":"CFB","type":"stream"},"aes-256-cfb":{"cipher":"AES","key":256,"iv":16,"mode":"CFB","type":"stream"},"aes-128-cfb8":{"cipher":"AES","key":128,"iv":16,"mode":"CFB8","type":"stream"},"aes-192-cfb8":{"cipher":"AES","key":192,"iv":16,"mode":"CFB8","type":"stream"},"aes-256-cfb8":{"cipher":"AES","key":256,"iv":16,"mode":"CFB8","type":"stream"},"aes-128-cfb1":{"cipher":"AES","key":128,"iv":16,"mode":"CFB1","type":"stream"},"aes-192-cfb1":{"cipher":"AES","key":192,"iv":16,"mode":"CFB1","type":"stream"},"aes-256-cfb1":{"cipher":"AES","key":256,"iv":16,"mode":"CFB1","type":"stream"},"aes-128-ofb":{"cipher":"AES","key":128,"iv":16,"mode":"OFB","type":"stream"},"aes-192-ofb":{"cipher":"AES","key":192,"iv":16,"mode":"OFB","type":"stream"},"aes-256-ofb":{"cipher":"AES","key":256,"iv":16,"mode":"OFB","type":"stream"},"aes-128-ctr":{"cipher":"AES","key":128,"iv":16,"mode":"CTR","type":"stream"},"aes-192-ctr":{"cipher":"AES","key":192,"iv":16,"mode":"CTR","type":"stream"},"aes-256-ctr":{"cipher":"AES","key":256,"iv":16,"mode":"CTR","type":"stream"},"aes-128-gcm":{"cipher":"AES","key":128,"iv":12,"mode":"GCM","type":"auth"},"aes-192-gcm":{"cipher":"AES","key":192,"iv":12,"mode":"GCM","type":"auth"},"aes-256-gcm":{"cipher":"AES","key":256,"iv":12,"mode":"GCM","type":"auth"}}')},function(t,e,r){var n=r(48),i=r(2).Buffer,o=r(23),s=r(0),a=r(220),u=r(38),h=r(121);function f(t,e,r,s){o.call(this);var u=i.alloc(4,0);this._cipher=new n.AES(e);var f=this._cipher.encryptBlock(u);this._ghash=new a(f),r=function(t,e,r){if(12===e.length)return t._finID=i.concat([e,i.from([0,0,0,1])]),i.concat([e,i.from([0,0,0,2])]);var n=new a(r),o=e.length,s=o%16;n.update(e),s&&(s=16-s,n.update(i.alloc(s,0))),n.update(i.alloc(8,0));var u=8*o,f=i.alloc(8);f.writeUIntBE(u,0,8),n.update(f),t._finID=n.state;var c=i.from(t._finID);return h(c),c}(this,r,f),this._prev=i.from(r),this._cache=i.allocUnsafe(0),this._secCache=i.allocUnsafe(0),this._decrypt=s,this._alen=0,this._len=0,this._mode=t,this._authTag=null,this._called=!1}s(f,o),f.prototype._update=function(t){if(!this._called&&this._alen){var e=16-this._alen%16;e<16&&(e=i.alloc(e,0),this._ghash.update(e))}this._called=!0;var r=this._mode.encrypt(this,t);return this._decrypt?this._ghash.update(t):this._ghash.update(r),this._len+=t.length,r},f.prototype._final=function(){if(this._decrypt&&!this._authTag)throw new Error("Unsupported state or unable to authenticate data");var t=u(this._ghash.final(8*this._alen,8*this._len),this._cipher.encryptBlock(this._finID));if(this._decrypt&&function(t,e){var r=0;t.length!==e.length&&r++;for(var n=Math.min(t.length,e.length),i=0;i<n;++i)r+=t[i]^e[i];return r}(t,this._authTag))throw new Error("Unsupported state or unable to authenticate data");this._authTag=t,this._cipher.scrub()},f.prototype.getAuthTag=function(){if(this._decrypt||!i.isBuffer(this._authTag))throw new Error("Attempting to get auth tag in unsupported state");return this._authTag},f.prototype.setAuthTag=function(t){if(!this._decrypt)throw new Error("Attempting to set auth tag in unsupported state");this._authTag=t},f.prototype.setAAD=function(t){if(this._called)throw new Error("Attempting to set AAD in unsupported state");this._ghash.update(t),this._alen+=t.length},t.exports=f},function(t,e,r){var n=r(48),i=r(2).Buffer,o=r(23);function s(t,e,r,s){o.call(this),this._cipher=new n.AES(e),this._prev=i.from(r),this._cache=i.allocUnsafe(0),this._secCache=i.allocUnsafe(0),this._decrypt=s,this._mode=t}r(0)(s,o),s.prototype._update=function(t){return this._mode.encrypt(this,t,this._decrypt)},s.prototype._final=function(){this._cipher.scrub()},t.exports=s},function(t,e,r){var n=r(28);t.exports=v,v.simpleSieve=m,v.fermatTest=b;var i=r(126),o=new i(24),s=new(r(127)),a=new i(1),u=new i(2),h=new i(5),f=(new i(16),new i(8),new i(10)),c=new i(3),l=(new i(7),new i(11)),d=new i(4),p=(new i(12),null);function y(){if(null!==p)return p;var t=[];t[0]=2;for(var e=1,r=3;r<1048576;r+=2){for(var n=Math.ceil(Math.sqrt(r)),i=0;i<e&&t[i]<=n&&r%t[i]!=0;i++);e!==i&&t[i]<=n||(t[e++]=r)}return p=t,t}function m(t){for(var e=y(),r=0;r<e.length;r++)if(0===t.modn(e[r]))return 0===t.cmpn(e[r]);return!0}function b(t){var e=i.mont(t);return 0===u.toRed(e).redPow(t.subn(1)).fromRed().cmpn(1)}function v(t,e){if(t<16)return new i(2===e||5===e?[140,123]:[140,39]);var r,p;for(e=new i(e);;){for(r=new i(n(Math.ceil(t/8)));r.bitLength()>t;)r.ishrn(1);if(r.isEven()&&r.iadd(a),r.testn(1)||r.iadd(u),e.cmp(u)){if(!e.cmp(h))for(;r.mod(f).cmp(c);)r.iadd(d)}else for(;r.mod(o).cmp(l);)r.iadd(d);if(m(p=r.shrn(1))&&m(r)&&b(p)&&b(r)&&s.test(p)&&s.test(r))return r}}},function(t,e,r){(function(t){function e(t){return(e="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(t){return typeof t}:function(t){return t&&"function"==typeof Symbol&&t.constructor===Symbol&&t!==Symbol.prototype?"symbol":typeof t})(t)}!function(t,n){"use strict";function i(t,e){if(!t)throw new Error(e||"Assertion failed")}function o(t,e){t.super_=e;var r=function(){};r.prototype=e.prototype,t.prototype=new r,t.prototype.constructor=t}function s(t,e,r){if(s.isBN(t))return t;this.negative=0,this.words=null,this.length=0,this.red=null,null!==t&&("le"!==e&&"be"!==e||(r=e,e=10),this._init(t||0,e||10,r||"be"))}var a;"object"===e(t)?t.exports=s:n.BN=s,s.BN=s,s.wordSize=26;try{a="undefined"!=typeof window&&void 0!==window.Buffer?window.Buffer:r(224).Buffer}catch(t){}function u(t,e){var r=t.charCodeAt(e);return r>=65&&r<=70?r-55:r>=97&&r<=102?r-87:r-48&15}function h(t,e,r){var n=u(t,r);return r-1>=e&&(n|=u(t,r-1)<<4),n}function f(t,e,r,n){for(var i=0,o=Math.min(t.length,r),s=e;s<o;s++){var a=t.charCodeAt(s)-48;i*=n,i+=a>=49?a-49+10:a>=17?a-17+10:a}return i}s.isBN=function(t){return t instanceof s||null!==t&&"object"===e(t)&&t.constructor.wordSize===s.wordSize&&Array.isArray(t.words)},s.max=function(t,e){return t.cmp(e)>0?t:e},s.min=function(t,e){return t.cmp(e)<0?t:e},s.prototype._init=function(t,r,n){if("number"==typeof t)return this._initNumber(t,r,n);if("object"===e(t))return this._initArray(t,r,n);"hex"===r&&(r=16),i(r===(0|r)&&r>=2&&r<=36);var o=0;"-"===(t=t.toString().replace(/\s+/g,""))[0]&&(o++,this.negative=1),o<t.length&&(16===r?this._parseHex(t,o,n):(this._parseBase(t,r,o),"le"===n&&this._initArray(this.toArray(),r,n)))},s.prototype._initNumber=function(t,e,r){t<0&&(this.negative=1,t=-t),t<67108864?(this.words=[67108863&t],this.length=1):t<4503599627370496?(this.words=[67108863&t,t/67108864&67108863],this.length=2):(i(t<9007199254740992),this.words=[67108863&t,t/67108864&67108863,1],this.length=3),"le"===r&&this._initArray(this.toArray(),e,r)},s.prototype._initArray=function(t,e,r){if(i("number"==typeof t.length),t.length<=0)return this.words=[0],this.length=1,this;this.length=Math.ceil(t.length/3),this.words=new Array(this.length);for(var n=0;n<this.length;n++)this.words[n]=0;var o,s,a=0;if("be"===r)for(n=t.length-1,o=0;n>=0;n-=3)s=t[n]|t[n-1]<<8|t[n-2]<<16,this.words[o]|=s<<a&67108863,this.words[o+1]=s>>>26-a&67108863,(a+=24)>=26&&(a-=26,o++);else if("le"===r)for(n=0,o=0;n<t.length;n+=3)s=t[n]|t[n+1]<<8|t[n+2]<<16,this.words[o]|=s<<a&67108863,this.words[o+1]=s>>>26-a&67108863,(a+=24)>=26&&(a-=26,o++);return this.strip()},s.prototype._parseHex=function(t,e,r){this.length=Math.ceil((t.length-e)/6),this.words=new Array(this.length);for(var n=0;n<this.length;n++)this.words[n]=0;var i,o=0,s=0;if("be"===r)for(n=t.length-1;n>=e;n-=2)i=h(t,e,n)<<o,this.words[s]|=67108863&i,o>=18?(o-=18,s+=1,this.words[s]|=i>>>26):o+=8;else for(n=(t.length-e)%2==0?e+1:e;n<t.length;n+=2)i=h(t,e,n)<<o,this.words[s]|=67108863&i,o>=18?(o-=18,s+=1,this.words[s]|=i>>>26):o+=8;this.strip()},s.prototype._parseBase=function(t,e,r){this.words=[0],this.length=1;for(var n=0,i=1;i<=67108863;i*=e)n++;n--,i=i/e|0;for(var o=t.length-r,s=o%n,a=Math.min(o,o-s)+r,u=0,h=r;h<a;h+=n)u=f(t,h,h+n,e),this.imuln(i),this.words[0]+u<67108864?this.words[0]+=u:this._iaddn(u);if(0!==s){var c=1;for(u=f(t,h,t.length,e),h=0;h<s;h++)c*=e;this.imuln(c),this.words[0]+u<67108864?this.words[0]+=u:this._iaddn(u)}this.strip()},s.prototype.copy=function(t){t.words=new Array(this.length);for(var e=0;e<this.length;e++)t.words[e]=this.words[e];t.length=this.length,t.negative=this.negative,t.red=this.red},s.prototype.clone=function(){var t=new s(null);return this.copy(t),t},s.prototype._expand=function(t){for(;this.length<t;)this.words[this.length++]=0;return this},s.prototype.strip=function(){for(;this.length>1&&0===this.words[this.length-1];)this.length--;return this._normSign()},s.prototype._normSign=function(){return 1===this.length&&0===this.words[0]&&(this.negative=0),this},s.prototype.inspect=function(){return(this.red?"<BN-R: ":"<BN: ")+this.toString(16)+">"};var c=["","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],d=[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];function p(t,e,r){r.negative=e.negative^t.negative;var n=t.length+e.length|0;r.length=n,n=n-1|0;var i=0|t.words[0],o=0|e.words[0],s=i*o,a=67108863&s,u=s/67108864|0;r.words[0]=a;for(var h=1;h<n;h++){for(var f=u>>>26,c=67108863&u,l=Math.min(h,e.length-1),d=Math.max(0,h-t.length+1);d<=l;d++){var p=h-d|0;f+=(s=(i=0|t.words[p])*(o=0|e.words[d])+c)/67108864|0,c=67108863&s}r.words[h]=0|c,u=0|f}return 0!==u?r.words[h]=0|u:r.length--,r.strip()}s.prototype.toString=function(t,e){var r;if(e=0|e||1,16===(t=t||10)||"hex"===t){r="";for(var n=0,o=0,s=0;s<this.length;s++){var a=this.words[s],u=(16777215&(a<<n|o)).toString(16);r=0!==(o=a>>>24-n&16777215)||s!==this.length-1?c[6-u.length]+u+r:u+r,(n+=2)>=26&&(n-=26,s--)}for(0!==o&&(r=o.toString(16)+r);r.length%e!=0;)r="0"+r;return 0!==this.negative&&(r="-"+r),r}if(t===(0|t)&&t>=2&&t<=36){var h=l[t],f=d[t];r="";var p=this.clone();for(p.negative=0;!p.isZero();){var y=p.modn(f).toString(t);r=(p=p.idivn(f)).isZero()?y+r:c[h-y.length]+y+r}for(this.isZero()&&(r="0"+r);r.length%e!=0;)r="0"+r;return 0!==this.negative&&(r="-"+r),r}i(!1,"Base should be between 2 and 36")},s.prototype.toNumber=function(){var t=this.words[0];return 2===this.length?t+=67108864*this.words[1]:3===this.length&&1===this.words[2]?t+=4503599627370496+67108864*this.words[1]:this.length>2&&i(!1,"Number can only safely store up to 53 bits"),0!==this.negative?-t:t},s.prototype.toJSON=function(){return this.toString(16)},s.prototype.toBuffer=function(t,e){return i(void 0!==a),this.toArrayLike(a,t,e)},s.prototype.toArray=function(t,e){return this.toArrayLike(Array,t,e)},s.prototype.toArrayLike=function(t,e,r){var n=this.byteLength(),o=r||Math.max(1,n);i(n<=o,"byte array longer than desired length"),i(o>0,"Requested array length <= 0"),this.strip();var s,a,u="le"===e,h=new t(o),f=this.clone();if(u){for(a=0;!f.isZero();a++)s=f.andln(255),f.iushrn(8),h[a]=s;for(;a<o;a++)h[a]=0}else{for(a=0;a<o-n;a++)h[a]=0;for(a=0;!f.isZero();a++)s=f.andln(255),f.iushrn(8),h[o-a-1]=s}return h},Math.clz32?s.prototype._countBits=function(t){return 32-Math.clz32(t)}:s.prototype._countBits=function(t){var e=t,r=0;return 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Ot=(h+(n=n+Math.imul(c,ct)|0)|0)+((8191&(i=(i=i+Math.imul(c,lt)|0)+Math.imul(l,ct)|0))<<13)|0;h=((o=o+Math.imul(l,lt)|0)+(i>>>13)|0)+(Ot>>>26)|0,Ot&=67108863,n=Math.imul(C,U),i=(i=Math.imul(C,F))+Math.imul(L,U)|0,o=Math.imul(L,F),n=n+Math.imul(I,V)|0,i=(i=i+Math.imul(I,K)|0)+Math.imul(N,V)|0,o=o+Math.imul(N,K)|0,n=n+Math.imul(R,Z)|0,i=(i=i+Math.imul(R,W)|0)+Math.imul(B,Z)|0,o=o+Math.imul(B,W)|0,n=n+Math.imul(j,Y)|0,i=(i=i+Math.imul(j,Q)|0)+Math.imul($,Y)|0,o=o+Math.imul($,Q)|0,n=n+Math.imul(E,X)|0,i=(i=i+Math.imul(E,tt)|0)+Math.imul(x,X)|0,o=o+Math.imul(x,tt)|0,n=n+Math.imul(S,rt)|0,i=(i=i+Math.imul(S,nt)|0)+Math.imul(O,rt)|0,o=o+Math.imul(O,nt)|0,n=n+Math.imul(w,ot)|0,i=(i=i+Math.imul(w,st)|0)+Math.imul(_,ot)|0,o=o+Math.imul(_,st)|0,n=n+Math.imul(b,ut)|0,i=(i=i+Math.imul(b,ht)|0)+Math.imul(v,ut)|0,o=o+Math.imul(v,ht)|0,n=n+Math.imul(p,ct)|0,i=(i=i+Math.imul(p,lt)|0)+Math.imul(y,ct)|0,o=o+Math.imul(y,lt)|0;var At=(h+(n=n+Math.imul(c,pt)|0)|0)+((8191&(i=(i=i+Math.imul(c,yt)|0)+Math.imul(l,pt)|0))<<13)|0;h=((o=o+Math.imul(l,yt)|0)+(i>>>13)|0)+(At>>>26)|0,At&=67108863,n=Math.imul(C,V),i=(i=Math.imul(C,K))+Math.imul(L,V)|0,o=Math.imul(L,K),n=n+Math.imul(I,Z)|0,i=(i=i+Math.imul(I,W)|0)+Math.imul(N,Z)|0,o=o+Math.imul(N,W)|0,n=n+Math.imul(R,Y)|0,i=(i=i+Math.imul(R,Q)|0)+Math.imul(B,Y)|0,o=o+Math.imul(B,Q)|0,n=n+Math.imul(j,X)|0,i=(i=i+Math.imul(j,tt)|0)+Math.imul($,X)|0,o=o+Math.imul($,tt)|0,n=n+Math.imul(E,rt)|0,i=(i=i+Math.imul(E,nt)|0)+Math.imul(x,rt)|0,o=o+Math.imul(x,nt)|0,n=n+Math.imul(S,ot)|0,i=(i=i+Math.imul(S,st)|0)+Math.imul(O,ot)|0,o=o+Math.imul(O,st)|0,n=n+Math.imul(w,ut)|0,i=(i=i+Math.imul(w,ht)|0)+Math.imul(_,ut)|0,o=o+Math.imul(_,ht)|0,n=n+Math.imul(b,ct)|0,i=(i=i+Math.imul(b,lt)|0)+Math.imul(v,ct)|0,o=o+Math.imul(v,lt)|0;var Et=(h+(n=n+Math.imul(p,pt)|0)|0)+((8191&(i=(i=i+Math.imul(p,yt)|0)+Math.imul(y,pt)|0))<<13)|0;h=((o=o+Math.imul(y,yt)|0)+(i>>>13)|0)+(Et>>>26)|0,Et&=67108863,n=Math.imul(C,Z),i=(i=Math.imul(C,W))+Math.imul(L,Z)|0,o=Math.imul(L,W),n=n+Math.imul(I,Y)|0,i=(i=i+Math.imul(I,Q)|0)+Math.imul(N,Y)|0,o=o+Math.imul(N,Q)|0,n=n+Math.imul(R,X)|0,i=(i=i+Math.imul(R,tt)|0)+Math.imul(B,X)|0,o=o+Math.imul(B,tt)|0,n=n+Math.imul(j,rt)|0,i=(i=i+Math.imul(j,nt)|0)+Math.imul($,rt)|0,o=o+Math.imul($,nt)|0,n=n+Math.imul(E,ot)|0,i=(i=i+Math.imul(E,st)|0)+Math.imul(x,ot)|0,o=o+Math.imul(x,st)|0,n=n+Math.imul(S,ut)|0,i=(i=i+Math.imul(S,ht)|0)+Math.imul(O,ut)|0,o=o+Math.imul(O,ht)|0,n=n+Math.imul(w,ct)|0,i=(i=i+Math.imul(w,lt)|0)+Math.imul(_,ct)|0,o=o+Math.imul(_,lt)|0;var xt=(h+(n=n+Math.imul(b,pt)|0)|0)+((8191&(i=(i=i+Math.imul(b,yt)|0)+Math.imul(v,pt)|0))<<13)|0;h=((o=o+Math.imul(v,yt)|0)+(i>>>13)|0)+(xt>>>26)|0,xt&=67108863,n=Math.imul(C,Y),i=(i=Math.imul(C,Q))+Math.imul(L,Y)|0,o=Math.imul(L,Q),n=n+Math.imul(I,X)|0,i=(i=i+Math.imul(I,tt)|0)+Math.imul(N,X)|0,o=o+Math.imul(N,tt)|0,n=n+Math.imul(R,rt)|0,i=(i=i+Math.imul(R,nt)|0)+Math.imul(B,rt)|0,o=o+Math.imul(B,nt)|0,n=n+Math.imul(j,ot)|0,i=(i=i+Math.imul(j,st)|0)+Math.imul($,ot)|0,o=o+Math.imul($,st)|0,n=n+Math.imul(E,ut)|0,i=(i=i+Math.imul(E,ht)|0)+Math.imul(x,ut)|0,o=o+Math.imul(x,ht)|0,n=n+Math.imul(S,ct)|0,i=(i=i+Math.imul(S,lt)|0)+Math.imul(O,ct)|0,o=o+Math.imul(O,lt)|0;var kt=(h+(n=n+Math.imul(w,pt)|0)|0)+((8191&(i=(i=i+Math.imul(w,yt)|0)+Math.imul(_,pt)|0))<<13)|0;h=((o=o+Math.imul(_,yt)|0)+(i>>>13)|0)+(kt>>>26)|0,kt&=67108863,n=Math.imul(C,X),i=(i=Math.imul(C,tt))+Math.imul(L,X)|0,o=Math.imul(L,tt),n=n+Math.imul(I,rt)|0,i=(i=i+Math.imul(I,nt)|0)+Math.imul(N,rt)|0,o=o+Math.imul(N,nt)|0,n=n+Math.imul(R,ot)|0,i=(i=i+Math.imul(R,st)|0)+Math.imul(B,ot)|0,o=o+Math.imul(B,st)|0,n=n+Math.imul(j,ut)|0,i=(i=i+Math.imul(j,ht)|0)+Math.imul($,ut)|0,o=o+Math.imul($,ht)|0,n=n+Math.imul(E,ct)|0,i=(i=i+Math.imul(E,lt)|0)+Math.imul(x,ct)|0,o=o+Math.imul(x,lt)|0;var jt=(h+(n=n+Math.imul(S,pt)|0)|0)+((8191&(i=(i=i+Math.imul(S,yt)|0)+Math.imul(O,pt)|0))<<13)|0;h=((o=o+Math.imul(O,yt)|0)+(i>>>13)|0)+(jt>>>26)|0,jt&=67108863,n=Math.imul(C,rt),i=(i=Math.imul(C,nt))+Math.imul(L,rt)|0,o=Math.imul(L,nt),n=n+Math.imul(I,ot)|0,i=(i=i+Math.imul(I,st)|0)+Math.imul(N,ot)|0,o=o+Math.imul(N,st)|0,n=n+Math.imul(R,ut)|0,i=(i=i+Math.imul(R,ht)|0)+Math.imul(B,ut)|0,o=o+Math.imul(B,ht)|0,n=n+Math.imul(j,ct)|0,i=(i=i+Math.imul(j,lt)|0)+Math.imul($,ct)|0,o=o+Math.imul($,lt)|0;var $t=(h+(n=n+Math.imul(E,pt)|0)|0)+((8191&(i=(i=i+Math.imul(E,yt)|0)+Math.imul(x,pt)|0))<<13)|0;h=((o=o+Math.imul(x,yt)|0)+(i>>>13)|0)+($t>>>26)|0,$t&=67108863,n=Math.imul(C,ot),i=(i=Math.imul(C,st))+Math.imul(L,ot)|0,o=Math.imul(L,st),n=n+Math.imul(I,ut)|0,i=(i=i+Math.imul(I,ht)|0)+Math.imul(N,ut)|0,o=o+Math.imul(N,ht)|0,n=n+Math.imul(R,ct)|0,i=(i=i+Math.imul(R,lt)|0)+Math.imul(B,ct)|0,o=o+Math.imul(B,lt)|0;var Pt=(h+(n=n+Math.imul(j,pt)|0)|0)+((8191&(i=(i=i+Math.imul(j,yt)|0)+Math.imul($,pt)|0))<<13)|0;h=((o=o+Math.imul($,yt)|0)+(i>>>13)|0)+(Pt>>>26)|0,Pt&=67108863,n=Math.imul(C,ut),i=(i=Math.imul(C,ht))+Math.imul(L,ut)|0,o=Math.imul(L,ht),n=n+Math.imul(I,ct)|0,i=(i=i+Math.imul(I,lt)|0)+Math.imul(N,ct)|0,o=o+Math.imul(N,lt)|0;var Rt=(h+(n=n+Math.imul(R,pt)|0)|0)+((8191&(i=(i=i+Math.imul(R,yt)|0)+Math.imul(B,pt)|0))<<13)|0;h=((o=o+Math.imul(B,yt)|0)+(i>>>13)|0)+(Rt>>>26)|0,Rt&=67108863,n=Math.imul(C,ct),i=(i=Math.imul(C,lt))+Math.imul(L,ct)|0,o=Math.imul(L,lt);var Bt=(h+(n=n+Math.imul(I,pt)|0)|0)+((8191&(i=(i=i+Math.imul(I,yt)|0)+Math.imul(N,pt)|0))<<13)|0;h=((o=o+Math.imul(N,yt)|0)+(i>>>13)|0)+(Bt>>>26)|0,Bt&=67108863;var Tt=(h+(n=Math.imul(C,pt))|0)+((8191&(i=(i=Math.imul(C,yt))+Math.imul(L,pt)|0))<<13)|0;return h=((o=Math.imul(L,yt))+(i>>>13)|0)+(Tt>>>26)|0,Tt&=67108863,u[0]=mt,u[1]=bt,u[2]=vt,u[3]=gt,u[4]=wt,u[5]=_t,u[6]=Mt,u[7]=St,u[8]=Ot,u[9]=At,u[10]=Et,u[11]=xt,u[12]=kt,u[13]=jt,u[14]=$t,u[15]=Pt,u[16]=Rt,u[17]=Bt,u[18]=Tt,0!==h&&(u[19]=h,r.length++),r};function m(t,e,r){return(new b).mulp(t,e,r)}function b(t,e){this.x=t,this.y=e}Math.imul||(y=p),s.prototype.mulTo=function(t,e){var r=this.length+t.length;return 10===this.length&&10===t.length?y(this,t,e):r<63?p(this,t,e):r<1024?function(t,e,r){r.negative=e.negative^t.negative,r.length=t.length+e.length;for(var n=0,i=0,o=0;o<r.length-1;o++){var s=i;i=0;for(var a=67108863&n,u=Math.min(o,e.length-1),h=Math.max(0,o-t.length+1);h<=u;h++){var f=o-h,c=(0|t.words[f])*(0|e.words[h]),l=67108863&c;a=67108863&(l=l+a|0),i+=(s=(s=s+(c/67108864|0)|0)+(l>>>26)|0)>>>26,s&=67108863}r.words[o]=a,n=s,s=i}return 0!==n?r.words[o]=n:r.length--,r.strip()}(this,t,e):m(this,t,e)},b.prototype.makeRBT=function(t){for(var e=new Array(t),r=s.prototype._countBits(t)-1,n=0;n<t;n++)e[n]=this.revBin(n,r,t);return e},b.prototype.revBin=function(t,e,r){if(0===t||t===r-1)return t;for(var n=0,i=0;i<e;i++)n|=(1&t)<<e-i-1,t>>=1;return n},b.prototype.permute=function(t,e,r,n,i,o){for(var s=0;s<o;s++)n[s]=e[t[s]],i[s]=r[t[s]]},b.prototype.transform=function(t,e,r,n,i,o){this.permute(o,t,e,r,n,i);for(var s=1;s<i;s<<=1)for(var a=s<<1,u=Math.cos(2*Math.PI/a),h=Math.sin(2*Math.PI/a),f=0;f<i;f+=a)for(var c=u,l=h,d=0;d<s;d++){var p=r[f+d],y=n[f+d],m=r[f+d+s],b=n[f+d+s],v=c*m-l*b;b=c*b+l*m,m=v,r[f+d]=p+m,n[f+d]=y+b,r[f+d+s]=p-m,n[f+d+s]=y-b,d!==a&&(v=u*c-h*l,l=u*l+h*c,c=v)}},b.prototype.guessLen13b=function(t,e){var r=1|Math.max(e,t),n=1&r,i=0;for(r=r/2|0;r;r>>>=1)i++;return 1<<i+1+n},b.prototype.conjugate=function(t,e,r){if(!(r<=1))for(var n=0;n<r/2;n++){var i=t[n];t[n]=t[r-n-1],t[r-n-1]=i,i=e[n],e[n]=-e[r-n-1],e[r-n-1]=-i}},b.prototype.normalize13b=function(t,e){for(var r=0,n=0;n<e/2;n++){var i=8192*Math.round(t[2*n+1]/e)+Math.round(t[2*n]/e)+r;t[n]=67108863&i,r=i<67108864?0:i/67108864|0}return t},b.prototype.convert13b=function(t,e,r,n){for(var o=0,s=0;s<e;s++)o+=0|t[s],r[2*s]=8191&o,o>>>=13,r[2*s+1]=8191&o,o>>>=13;for(s=2*e;s<n;++s)r[s]=0;i(0===o),i(0==(-8192&o))},b.prototype.stub=function(t){for(var e=new Array(t),r=0;r<t;r++)e[r]=0;return e},b.prototype.mulp=function(t,e,r){var n=2*this.guessLen13b(t.length,e.length),i=this.makeRBT(n),o=this.stub(n),s=new Array(n),a=new Array(n),u=new Array(n),h=new Array(n),f=new Array(n),c=new Array(n),l=r.words;l.length=n,this.convert13b(t.words,t.length,s,n),this.convert13b(e.words,e.length,h,n),this.transform(s,o,a,u,n,i),this.transform(h,o,f,c,n,i);for(var d=0;d<n;d++){var p=a[d]*f[d]-u[d]*c[d];u[d]=a[d]*c[d]+u[d]*f[d],a[d]=p}return this.conjugate(a,u,n),this.transform(a,u,l,o,n,i),this.conjugate(l,o,n),this.normalize13b(l,n),r.negative=t.negative^e.negative,r.length=t.length+e.length,r.strip()},s.prototype.mul=function(t){var e=new s(null);return e.words=new Array(this.length+t.length),this.mulTo(t,e)},s.prototype.mulf=function(t){var e=new s(null);return e.words=new Array(this.length+t.length),m(this,t,e)},s.prototype.imul=function(t){return this.clone().mulTo(t,this)},s.prototype.imuln=function(t){i("number"==typeof t),i(t<67108864);for(var e=0,r=0;r<this.length;r++){var n=(0|this.words[r])*t,o=(67108863&n)+(67108863&e);e>>=26,e+=n/67108864|0,e+=o>>>26,this.words[r]=67108863&o}return 0!==e&&(this.words[r]=e,this.length++),this},s.prototype.muln=function(t){return this.clone().imuln(t)},s.prototype.sqr=function(){return this.mul(this)},s.prototype.isqr=function(){return this.imul(this.clone())},s.prototype.pow=function(t){var e=function(t){for(var e=new Array(t.bitLength()),r=0;r<e.length;r++){var n=r/26|0,i=r%26;e[r]=(t.words[n]&1<<i)>>>i}return e}(t);if(0===e.length)return new s(1);for(var r=this,n=0;n<e.length&&0===e[n];n++,r=r.sqr());if(++n<e.length)for(var i=r.sqr();n<e.length;n++,i=i.sqr())0!==e[n]&&(r=r.mul(i));return r},s.prototype.iushln=function(t){i("number"==typeof t&&t>=0);var e,r=t%26,n=(t-r)/26,o=67108863>>>26-r<<26-r;if(0!==r){var s=0;for(e=0;e<this.length;e++){var a=this.words[e]&o,u=(0|this.words[e])-a<<r;this.words[e]=u|s,s=a>>>26-r}s&&(this.words[e]=s,this.length++)}if(0!==n){for(e=this.length-1;e>=0;e--)this.words[e+n]=this.words[e];for(e=0;e<n;e++)this.words[e]=0;this.length+=n}return this.strip()},s.prototype.ishln=function(t){return i(0===this.negative),this.iushln(t)},s.prototype.iushrn=function(t,e,r){var n;i("number"==typeof t&&t>=0),n=e?(e-e%26)/26:0;var o=t%26,s=Math.min((t-o)/26,this.length),a=67108863^67108863>>>o<<o,u=r;if(n-=s,n=Math.max(0,n),u){for(var h=0;h<s;h++)u.words[h]=this.words[h];u.length=s}if(0===s);else if(this.length>s)for(this.length-=s,h=0;h<this.length;h++)this.words[h]=this.words[h+s];else this.words[0]=0,this.length=1;var f=0;for(h=this.length-1;h>=0&&(0!==f||h>=n);h--){var c=0|this.words[h];this.words[h]=f<<26-o|c>>>o,f=c&a}return u&&0!==f&&(u.words[u.length++]=f),0===this.length&&(this.words[0]=0,this.length=1),this.strip()},s.prototype.ishrn=function(t,e,r){return i(0===this.negative),this.iushrn(t,e,r)},s.prototype.shln=function(t){return this.clone().ishln(t)},s.prototype.ushln=function(t){return this.clone().iushln(t)},s.prototype.shrn=function(t){return this.clone().ishrn(t)},s.prototype.ushrn=function(t){return this.clone().iushrn(t)},s.prototype.testn=function(t){i("number"==typeof t&&t>=0);var e=t%26,r=(t-e)/26,n=1<<e;return!(this.length<=r)&&!!(this.words[r]&n)},s.prototype.imaskn=function(t){i("number"==typeof t&&t>=0);var e=t%26,r=(t-e)/26;if(i(0===this.negative,"imaskn works only with positive numbers"),this.length<=r)return this;if(0!==e&&r++,this.length=Math.min(r,this.length),0!==e){var n=67108863^67108863>>>e<<e;this.words[this.length-1]&=n}return this.strip()},s.prototype.maskn=function(t){return this.clone().imaskn(t)},s.prototype.iaddn=function(t){return i("number"==typeof t),i(t<67108864),t<0?this.isubn(-t):0!==this.negative?1===this.length&&(0|this.words[0])<t?(this.words[0]=t-(0|this.words[0]),this.negative=0,this):(this.negative=0,this.isubn(t),this.negative=1,this):this._iaddn(t)},s.prototype._iaddn=function(t){this.words[0]+=t;for(var e=0;e<this.length&&this.words[e]>=67108864;e++)this.words[e]-=67108864,e===this.length-1?this.words[e+1]=1:this.words[e+1]++;return this.length=Math.max(this.length,e+1),this},s.prototype.isubn=function(t){if(i("number"==typeof t),i(t<67108864),t<0)return this.iaddn(-t);if(0!==this.negative)return this.negative=0,this.iaddn(t),this.negative=1,this;if(this.words[0]-=t,1===this.length&&this.words[0]<0)this.words[0]=-this.words[0],this.negative=1;else for(var e=0;e<this.length&&this.words[e]<0;e++)this.words[e]+=67108864,this.words[e+1]-=1;return this.strip()},s.prototype.addn=function(t){return this.clone().iaddn(t)},s.prototype.subn=function(t){return this.clone().isubn(t)},s.prototype.iabs=function(){return this.negative=0,this},s.prototype.abs=function(){return this.clone().iabs()},s.prototype._ishlnsubmul=function(t,e,r){var n,o,s=t.length+r;this._expand(s);var a=0;for(n=0;n<t.length;n++){o=(0|this.words[n+r])+a;var u=(0|t.words[n])*e;a=((o-=67108863&u)>>26)-(u/67108864|0),this.words[n+r]=67108863&o}for(;n<this.length-r;n++)a=(o=(0|this.words[n+r])+a)>>26,this.words[n+r]=67108863&o;if(0===a)return this.strip();for(i(-1===a),a=0,n=0;n<this.length;n++)a=(o=-(0|this.words[n])+a)>>26,this.words[n]=67108863&o;return this.negative=1,this.strip()},s.prototype._wordDiv=function(t,e){var r=(this.length,t.length),n=this.clone(),i=t,o=0|i.words[i.length-1];0!==(r=26-this._countBits(o))&&(i=i.ushln(r),n.iushln(r),o=0|i.words[i.length-1]);var a,u=n.length-i.length;if("mod"!==e){(a=new s(null)).length=u+1,a.words=new Array(a.length);for(var h=0;h<a.length;h++)a.words[h]=0}var f=n.clone()._ishlnsubmul(i,1,u);0===f.negative&&(n=f,a&&(a.words[u]=1));for(var c=u-1;c>=0;c--){var l=67108864*(0|n.words[i.length+c])+(0|n.words[i.length+c-1]);for(l=Math.min(l/o|0,67108863),n._ishlnsubmul(i,l,c);0!==n.negative;)l--,n.negative=0,n._ishlnsubmul(i,1,c),n.isZero()||(n.negative^=1);a&&(a.words[c]=l)}return a&&a.strip(),n.strip(),"div"!==e&&0!==r&&n.iushrn(r),{div:a||null,mod:n}},s.prototype.divmod=function(t,e,r){return i(!t.isZero()),this.isZero()?{div:new s(0),mod:new s(0)}:0!==this.negative&&0===t.negative?(a=this.neg().divmod(t,e),"mod"!==e&&(n=a.div.neg()),"div"!==e&&(o=a.mod.neg(),r&&0!==o.negative&&o.iadd(t)),{div:n,mod:o}):0===this.negative&&0!==t.negative?(a=this.divmod(t.neg(),e),"mod"!==e&&(n=a.div.neg()),{div:n,mod:a.mod}):0!=(this.negative&t.negative)?(a=this.neg().divmod(t.neg(),e),"div"!==e&&(o=a.mod.neg(),r&&0!==o.negative&&o.isub(t)),{div:a.div,mod:o}):t.length>this.length||this.cmp(t)<0?{div:new s(0),mod:this}:1===t.length?"div"===e?{div:this.divn(t.words[0]),mod:null}:"mod"===e?{div:null,mod:new s(this.modn(t.words[0]))}:{div:this.divn(t.words[0]),mod:new s(this.modn(t.words[0]))}:this._wordDiv(t,e);var n,o,a},s.prototype.div=function(t){return this.divmod(t,"div",!1).div},s.prototype.mod=function(t){return this.divmod(t,"mod",!1).mod},s.prototype.umod=function(t){return this.divmod(t,"mod",!0).mod},s.prototype.divRound=function(t){var e=this.divmod(t);if(e.mod.isZero())return e.div;var r=0!==e.div.negative?e.mod.isub(t):e.mod,n=t.ushrn(1),i=t.andln(1),o=r.cmp(n);return o<0||1===i&&0===o?e.div:0!==e.div.negative?e.div.isubn(1):e.div.iaddn(1)},s.prototype.modn=function(t){i(t<=67108863);for(var e=(1<<26)%t,r=0,n=this.length-1;n>=0;n--)r=(e*r+(0|this.words[n]))%t;return r},s.prototype.idivn=function(t){i(t<=67108863);for(var e=0,r=this.length-1;r>=0;r--){var n=(0|this.words[r])+67108864*e;this.words[r]=n/t|0,e=n%t}return this.strip()},s.prototype.divn=function(t){return this.clone().idivn(t)},s.prototype.egcd=function(t){i(0===t.negative),i(!t.isZero());var e=this,r=t.clone();e=0!==e.negative?e.umod(t):e.clone();for(var n=new s(1),o=new s(0),a=new s(0),u=new s(1),h=0;e.isEven()&&r.isEven();)e.iushrn(1),r.iushrn(1),++h;for(var f=r.clone(),c=e.clone();!e.isZero();){for(var l=0,d=1;0==(e.words[0]&d)&&l<26;++l,d<<=1);if(l>0)for(e.iushrn(l);l-- >0;)(n.isOdd()||o.isOdd())&&(n.iadd(f),o.isub(c)),n.iushrn(1),o.iushrn(1);for(var p=0,y=1;0==(r.words[0]&y)&&p<26;++p,y<<=1);if(p>0)for(r.iushrn(p);p-- >0;)(a.isOdd()||u.isOdd())&&(a.iadd(f),u.isub(c)),a.iushrn(1),u.iushrn(1);e.cmp(r)>=0?(e.isub(r),n.isub(a),o.isub(u)):(r.isub(e),a.isub(n),u.isub(o))}return{a:a,b:u,gcd:r.iushln(h)}},s.prototype._invmp=function(t){i(0===t.negative),i(!t.isZero());var e=this,r=t.clone();e=0!==e.negative?e.umod(t):e.clone();for(var n,o=new s(1),a=new s(0),u=r.clone();e.cmpn(1)>0&&r.cmpn(1)>0;){for(var h=0,f=1;0==(e.words[0]&f)&&h<26;++h,f<<=1);if(h>0)for(e.iushrn(h);h-- >0;)o.isOdd()&&o.iadd(u),o.iushrn(1);for(var c=0,l=1;0==(r.words[0]&l)&&c<26;++c,l<<=1);if(c>0)for(r.iushrn(c);c-- >0;)a.isOdd()&&a.iadd(u),a.iushrn(1);e.cmp(r)>=0?(e.isub(r),o.isub(a)):(r.isub(e),a.isub(o))}return(n=0===e.cmpn(1)?o:a).cmpn(0)<0&&n.iadd(t),n},s.prototype.gcd=function(t){if(this.isZero())return t.abs();if(t.isZero())return this.abs();var e=this.clone(),r=t.clone();e.negative=0,r.negative=0;for(var n=0;e.isEven()&&r.isEven();n++)e.iushrn(1),r.iushrn(1);for(;;){for(;e.isEven();)e.iushrn(1);for(;r.isEven();)r.iushrn(1);var i=e.cmp(r);if(i<0){var o=e;e=r,r=o}else if(0===i||0===r.cmpn(1))break;e.isub(r)}return r.iushln(n)},s.prototype.invm=function(t){return this.egcd(t).a.umod(t)},s.prototype.isEven=function(){return 0==(1&this.words[0])},s.prototype.isOdd=function(){return 1==(1&this.words[0])},s.prototype.andln=function(t){return this.words[0]&t},s.prototype.bincn=function(t){i("number"==typeof t);var e=t%26,r=(t-e)/26,n=1<<e;if(this.length<=r)return this._expand(r+1),this.words[r]|=n,this;for(var o=n,s=r;0!==o&&s<this.length;s++){var a=0|this.words[s];o=(a+=o)>>>26,a&=67108863,this.words[s]=a}return 0!==o&&(this.words[s]=o,this.length++),this},s.prototype.isZero=function(){return 1===this.length&&0===this.words[0]},s.prototype.cmpn=function(t){var e,r=t<0;if(0!==this.negative&&!r)return-1;if(0===this.negative&&r)return 1;if(this.strip(),this.length>1)e=1;else{r&&(t=-t),i(t<=67108863,"Number is too big");var n=0|this.words[0];e=n===t?0:n<t?-1:1}return 0!==this.negative?0|-e:e},s.prototype.cmp=function(t){if(0!==this.negative&&0===t.negative)return-1;if(0===this.negative&&0!==t.negative)return 1;var e=this.ucmp(t);return 0!==this.negative?0|-e:e},s.prototype.ucmp=function(t){if(this.length>t.length)return 1;if(this.length<t.length)return-1;for(var e=0,r=this.length-1;r>=0;r--){var n=0|this.words[r],i=0|t.words[r];if(n!==i){n<i?e=-1:n>i&&(e=1);break}}return e},s.prototype.gtn=function(t){return 1===this.cmpn(t)},s.prototype.gt=function(t){return 1===this.cmp(t)},s.prototype.gten=function(t){return this.cmpn(t)>=0},s.prototype.gte=function(t){return this.cmp(t)>=0},s.prototype.ltn=function(t){return-1===this.cmpn(t)},s.prototype.lt=function(t){return-1===this.cmp(t)},s.prototype.lten=function(t){return this.cmpn(t)<=0},s.prototype.lte=function(t){return this.cmp(t)<=0},s.prototype.eqn=function(t){return 0===this.cmpn(t)},s.prototype.eq=function(t){return 0===this.cmp(t)},s.red=function(t){return new O(t)},s.prototype.toRed=function(t){return i(!this.red,"Already a number in reduction context"),i(0===this.negative,"red works only with positives"),t.convertTo(this)._forceRed(t)},s.prototype.fromRed=function(){return i(this.red,"fromRed works only with numbers in reduction context"),this.red.convertFrom(this)},s.prototype._forceRed=function(t){return this.red=t,this},s.prototype.forceRed=function(t){return i(!this.red,"Already a number in reduction context"),this._forceRed(t)},s.prototype.redAdd=function(t){return i(this.red,"redAdd works only with red numbers"),this.red.add(this,t)},s.prototype.redIAdd=function(t){return i(this.red,"redIAdd works only with red numbers"),this.red.iadd(this,t)},s.prototype.redSub=function(t){return i(this.red,"redSub works only with red numbers"),this.red.sub(this,t)},s.prototype.redISub=function(t){return i(this.red,"redISub works only with red numbers"),this.red.isub(this,t)},s.prototype.redShl=function(t){return i(this.red,"redShl works only with red numbers"),this.red.shl(this,t)},s.prototype.redMul=function(t){return i(this.red,"redMul works only with red numbers"),this.red._verify2(this,t),this.red.mul(this,t)},s.prototype.redIMul=function(t){return i(this.red,"redMul works only with red numbers"),this.red._verify2(this,t),this.red.imul(this,t)},s.prototype.redSqr=function(){return i(this.red,"redSqr works only with red numbers"),this.red._verify1(this),this.red.sqr(this)},s.prototype.redISqr=function(){return i(this.red,"redISqr works only with red numbers"),this.red._verify1(this),this.red.isqr(this)},s.prototype.redSqrt=function(){return i(this.red,"redSqrt works only with red numbers"),this.red._verify1(this),this.red.sqrt(this)},s.prototype.redInvm=function(){return i(this.red,"redInvm works only with red numbers"),this.red._verify1(this),this.red.invm(this)},s.prototype.redNeg=function(){return i(this.red,"redNeg works only with red numbers"),this.red._verify1(this),this.red.neg(this)},s.prototype.redPow=function(t){return i(this.red&&!t.red,"redPow(normalNum)"),this.red._verify1(this),this.red.pow(this,t)};var v={k256:null,p224:null,p192:null,p25519:null};function g(t,e){this.name=t,this.p=new s(e,16),this.n=this.p.bitLength(),this.k=new s(1).iushln(this.n).isub(this.p),this.tmp=this._tmp()}function w(){g.call(this,"k256","ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f")}function _(){g.call(this,"p224","ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001")}function M(){g.call(this,"p192","ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff")}function S(){g.call(this,"25519","7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed")}function O(t){if("string"==typeof t){var e=s._prime(t);this.m=e.p,this.prime=e}else i(t.gtn(1),"modulus must be greater than 1"),this.m=t,this.prime=null}function A(t){O.call(this,t),this.shift=this.m.bitLength(),this.shift%26!=0&&(this.shift+=26-this.shift%26),this.r=new s(1).iushln(this.shift),this.r2=this.imod(this.r.sqr()),this.rinv=this.r._invmp(this.m),this.minv=this.rinv.mul(this.r).isubn(1).div(this.m),this.minv=this.minv.umod(this.r),this.minv=this.r.sub(this.minv)}g.prototype._tmp=function(){var t=new s(null);return t.words=new Array(Math.ceil(this.n/13)),t},g.prototype.ireduce=function(t){var e,r=t;do{this.split(r,this.tmp),e=(r=(r=this.imulK(r)).iadd(this.tmp)).bitLength()}while(e>this.n);var n=e<this.n?-1:r.ucmp(this.p);return 0===n?(r.words[0]=0,r.length=1):n>0?r.isub(this.p):void 0!==r.strip?r.strip():r._strip(),r},g.prototype.split=function(t,e){t.iushrn(this.n,0,e)},g.prototype.imulK=function(t){return t.imul(this.k)},o(w,g),w.prototype.split=function(t,e){for(var r=Math.min(t.length,9),n=0;n<r;n++)e.words[n]=t.words[n];if(e.length=r,t.length<=9)return t.words[0]=0,void(t.length=1);var i=t.words[9];for(e.words[e.length++]=4194303&i,n=10;n<t.length;n++){var o=0|t.words[n];t.words[n-10]=(4194303&o)<<4|i>>>22,i=o}i>>>=22,t.words[n-10]=i,0===i&&t.length>10?t.length-=10:t.length-=9},w.prototype.imulK=function(t){t.words[t.length]=0,t.words[t.length+1]=0,t.length+=2;for(var e=0,r=0;r<t.length;r++){var n=0|t.words[r];e+=977*n,t.words[r]=67108863&e,e=64*n+(e/67108864|0)}return 0===t.words[t.length-1]&&(t.length--,0===t.words[t.length-1]&&t.length--),t},o(_,g),o(M,g),o(S,g),S.prototype.imulK=function(t){for(var e=0,r=0;r<t.length;r++){var n=19*(0|t.words[r])+e,i=67108863&n;n>>>=26,t.words[r]=i,e=n}return 0!==e&&(t.words[t.length++]=e),t},s._prime=function(t){if(v[t])return v[t];var e;if("k256"===t)e=new w;else if("p224"===t)e=new _;else if("p192"===t)e=new M;else{if("p25519"!==t)throw new Error("Unknown prime "+t);e=new S}return v[t]=e,e},O.prototype._verify1=function(t){i(0===t.negative,"red works only with positives"),i(t.red,"red works only with red numbers")},O.prototype._verify2=function(t,e){i(0==(t.negative|e.negative),"red works only with positives"),i(t.red&&t.red===e.red,"red works only with red numbers")},O.prototype.imod=function(t){return this.prime?this.prime.ireduce(t)._forceRed(this):t.umod(this.m)._forceRed(this)},O.prototype.neg=function(t){return t.isZero()?t.clone():this.m.sub(t)._forceRed(this)},O.prototype.add=function(t,e){this._verify2(t,e);var r=t.add(e);return r.cmp(this.m)>=0&&r.isub(this.m),r._forceRed(this)},O.prototype.iadd=function(t,e){this._verify2(t,e);var r=t.iadd(e);return r.cmp(this.m)>=0&&r.isub(this.m),r},O.prototype.sub=function(t,e){this._verify2(t,e);var r=t.sub(e);return r.cmpn(0)<0&&r.iadd(this.m),r._forceRed(this)},O.prototype.isub=function(t,e){this._verify2(t,e);var r=t.isub(e);return r.cmpn(0)<0&&r.iadd(this.m),r},O.prototype.shl=function(t,e){return this._verify1(t),this.imod(t.ushln(e))},O.prototype.imul=function(t,e){return this._verify2(t,e),this.imod(t.imul(e))},O.prototype.mul=function(t,e){return this._verify2(t,e),this.imod(t.mul(e))},O.prototype.isqr=function(t){return this.imul(t,t.clone())},O.prototype.sqr=function(t){return this.mul(t,t)},O.prototype.sqrt=function(t){if(t.isZero())return t.clone();var e=this.m.andln(3);if(i(e%2==1),3===e){var r=this.m.add(new s(1)).iushrn(2);return this.pow(t,r)}for(var n=this.m.subn(1),o=0;!n.isZero()&&0===n.andln(1);)o++,n.iushrn(1);i(!n.isZero());var a=new s(1).toRed(this),u=a.redNeg(),h=this.m.subn(1).iushrn(1),f=this.m.bitLength();for(f=new s(2*f*f).toRed(this);0!==this.pow(f,h).cmp(u);)f.redIAdd(u);for(var c=this.pow(f,n),l=this.pow(t,n.addn(1).iushrn(1)),d=this.pow(t,n),p=o;0!==d.cmp(a);){for(var y=d,m=0;0!==y.cmp(a);m++)y=y.redSqr();i(m<p);var b=this.pow(c,new s(1).iushln(p-m-1));l=l.redMul(b),c=b.redSqr(),d=d.redMul(c),p=m}return l},O.prototype.invm=function(t){var e=t._invmp(this.m);return 0!==e.negative?(e.negative=0,this.imod(e).redNeg()):this.imod(e)},O.prototype.pow=function(t,e){if(e.isZero())return new s(1).toRed(this);if(0===e.cmpn(1))return t.clone();var r=new Array(16);r[0]=new s(1).toRed(this),r[1]=t;for(var n=2;n<r.length;n++)r[n]=this.mul(r[n-1],t);var i=r[0],o=0,a=0,u=e.bitLength()%26;for(0===u&&(u=26),n=e.length-1;n>=0;n--){for(var h=e.words[n],f=u-1;f>=0;f--){var c=h>>f&1;i!==r[0]&&(i=this.sqr(i)),0!==c||0!==o?(o<<=1,o|=c,(4===++a||0===n&&0===f)&&(i=this.mul(i,r[o]),a=0,o=0)):a=0}u=26}return i},O.prototype.convertTo=function(t){var e=t.umod(this.m);return e===t?e.clone():e},O.prototype.convertFrom=function(t){var e=t.clone();return e.red=null,e},s.mont=function(t){return new A(t)},o(A,O),A.prototype.convertTo=function(t){return this.imod(t.ushln(this.shift))},A.prototype.convertFrom=function(t){var e=this.imod(t.mul(this.rinv));return e.red=null,e},A.prototype.imul=function(t,e){if(t.isZero()||e.isZero())return t.words[0]=0,t.length=1,t;var r=t.imul(e),n=r.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),i=r.isub(n).iushrn(this.shift),o=i;return i.cmp(this.m)>=0?o=i.isub(this.m):i.cmpn(0)<0&&(o=i.iadd(this.m)),o._forceRed(this)},A.prototype.mul=function(t,e){if(t.isZero()||e.isZero())return new s(0)._forceRed(this);var r=t.mul(e),n=r.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),i=r.isub(n).iushrn(this.shift),o=i;return i.cmp(this.m)>=0?o=i.isub(this.m):i.cmpn(0)<0&&(o=i.iadd(this.m)),o._forceRed(this)},A.prototype.invm=function(t){return this.imod(t._invmp(this.m).mul(this.r2))._forceRed(this)}}(t,this)}).call(this,r(24)(t))},function(t,e,r){var n=r(225),i=r(69);function o(t){this.rand=t||new i.Rand}t.exports=o,o.create=function(t){return new o(t)},o.prototype._randbelow=function(t){var e=t.bitLength(),r=Math.ceil(e/8);do{var i=new n(this.rand.generate(r))}while(i.cmp(t)>=0);return i},o.prototype._randrange=function(t,e){var r=e.sub(t);return t.add(this._randbelow(r))},o.prototype.test=function(t,e,r){var i=t.bitLength(),o=n.mont(t),s=new n(1).toRed(o);e||(e=Math.max(1,i/48|0));for(var a=t.subn(1),u=0;!a.testn(u);u++);for(var h=t.shrn(u),f=a.toRed(o);e>0;e--){var c=this._randrange(new n(2),a);r&&r(c);var l=c.toRed(o).redPow(h);if(0!==l.cmp(s)&&0!==l.cmp(f)){for(var d=1;d<u;d++){if(0===(l=l.redSqr()).cmp(s))return!1;if(0===l.cmp(f))break}if(d===u)return!1}}return!0},o.prototype.getDivisor=function(t,e){var r=t.bitLength(),i=n.mont(t),o=new n(1).toRed(i);e||(e=Math.max(1,r/48|0));for(var s=t.subn(1),a=0;!s.testn(a);a++);for(var u=t.shrn(a),h=s.toRed(i);e>0;e--){var f=this._randrange(new n(2),s),c=t.gcd(f);if(0!==c.cmpn(1))return c;var l=f.toRed(i).redPow(u);if(0!==l.cmp(o)&&0!==l.cmp(h)){for(var d=1;d<a;d++){if(0===(l=l.redSqr()).cmp(o))return l.fromRed().subn(1).gcd(t);if(0===l.cmp(h))break}if(d===a)return(l=l.redSqr()).fromRed().subn(1).gcd(t)}}return!1}},function(t,e,r){"use strict";var n=e;function i(t){return 1===t.length?"0"+t:t}function o(t){for(var e="",r=0;r<t.length;r++)e+=i(t[r].toString(16));return e}n.toArray=function(t,e){if(Array.isArray(t))return t.slice();if(!t)return[];var r=[];if("string"!=typeof t){for(var n=0;n<t.length;n++)r[n]=0|t[n];return 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Ot=(h+(n=n+Math.imul(c,ct)|0)|0)+((8191&(i=(i=i+Math.imul(c,lt)|0)+Math.imul(l,ct)|0))<<13)|0;h=((o=o+Math.imul(l,lt)|0)+(i>>>13)|0)+(Ot>>>26)|0,Ot&=67108863,n=Math.imul(C,U),i=(i=Math.imul(C,F))+Math.imul(L,U)|0,o=Math.imul(L,F),n=n+Math.imul(I,V)|0,i=(i=i+Math.imul(I,K)|0)+Math.imul(N,V)|0,o=o+Math.imul(N,K)|0,n=n+Math.imul(R,Z)|0,i=(i=i+Math.imul(R,W)|0)+Math.imul(B,Z)|0,o=o+Math.imul(B,W)|0,n=n+Math.imul(j,Y)|0,i=(i=i+Math.imul(j,Q)|0)+Math.imul($,Y)|0,o=o+Math.imul($,Q)|0,n=n+Math.imul(E,X)|0,i=(i=i+Math.imul(E,tt)|0)+Math.imul(x,X)|0,o=o+Math.imul(x,tt)|0,n=n+Math.imul(S,rt)|0,i=(i=i+Math.imul(S,nt)|0)+Math.imul(O,rt)|0,o=o+Math.imul(O,nt)|0,n=n+Math.imul(w,ot)|0,i=(i=i+Math.imul(w,st)|0)+Math.imul(_,ot)|0,o=o+Math.imul(_,st)|0,n=n+Math.imul(b,ut)|0,i=(i=i+Math.imul(b,ht)|0)+Math.imul(v,ut)|0,o=o+Math.imul(v,ht)|0,n=n+Math.imul(p,ct)|0,i=(i=i+Math.imul(p,lt)|0)+Math.imul(y,ct)|0,o=o+Math.imul(y,lt)|0;var At=(h+(n=n+Math.imul(c,pt)|0)|0)+((8191&(i=(i=i+Math.imul(c,yt)|0)+Math.imul(l,pt)|0))<<13)|0;h=((o=o+Math.imul(l,yt)|0)+(i>>>13)|0)+(At>>>26)|0,At&=67108863,n=Math.imul(C,V),i=(i=Math.imul(C,K))+Math.imul(L,V)|0,o=Math.imul(L,K),n=n+Math.imul(I,Z)|0,i=(i=i+Math.imul(I,W)|0)+Math.imul(N,Z)|0,o=o+Math.imul(N,W)|0,n=n+Math.imul(R,Y)|0,i=(i=i+Math.imul(R,Q)|0)+Math.imul(B,Y)|0,o=o+Math.imul(B,Q)|0,n=n+Math.imul(j,X)|0,i=(i=i+Math.imul(j,tt)|0)+Math.imul($,X)|0,o=o+Math.imul($,tt)|0,n=n+Math.imul(E,rt)|0,i=(i=i+Math.imul(E,nt)|0)+Math.imul(x,rt)|0,o=o+Math.imul(x,nt)|0,n=n+Math.imul(S,ot)|0,i=(i=i+Math.imul(S,st)|0)+Math.imul(O,ot)|0,o=o+Math.imul(O,st)|0,n=n+Math.imul(w,ut)|0,i=(i=i+Math.imul(w,ht)|0)+Math.imul(_,ut)|0,o=o+Math.imul(_,ht)|0,n=n+Math.imul(b,ct)|0,i=(i=i+Math.imul(b,lt)|0)+Math.imul(v,ct)|0,o=o+Math.imul(v,lt)|0;var Et=(h+(n=n+Math.imul(p,pt)|0)|0)+((8191&(i=(i=i+Math.imul(p,yt)|0)+Math.imul(y,pt)|0))<<13)|0;h=((o=o+Math.imul(y,yt)|0)+(i>>>13)|0)+(Et>>>26)|0,Et&=67108863,n=Math.imul(C,Z),i=(i=Math.imul(C,W))+Math.imul(L,Z)|0,o=Math.imul(L,W),n=n+Math.imul(I,Y)|0,i=(i=i+Math.imul(I,Q)|0)+Math.imul(N,Y)|0,o=o+Math.imul(N,Q)|0,n=n+Math.imul(R,X)|0,i=(i=i+Math.imul(R,tt)|0)+Math.imul(B,X)|0,o=o+Math.imul(B,tt)|0,n=n+Math.imul(j,rt)|0,i=(i=i+Math.imul(j,nt)|0)+Math.imul($,rt)|0,o=o+Math.imul($,nt)|0,n=n+Math.imul(E,ot)|0,i=(i=i+Math.imul(E,st)|0)+Math.imul(x,ot)|0,o=o+Math.imul(x,st)|0,n=n+Math.imul(S,ut)|0,i=(i=i+Math.imul(S,ht)|0)+Math.imul(O,ut)|0,o=o+Math.imul(O,ht)|0,n=n+Math.imul(w,ct)|0,i=(i=i+Math.imul(w,lt)|0)+Math.imul(_,ct)|0,o=o+Math.imul(_,lt)|0;var xt=(h+(n=n+Math.imul(b,pt)|0)|0)+((8191&(i=(i=i+Math.imul(b,yt)|0)+Math.imul(v,pt)|0))<<13)|0;h=((o=o+Math.imul(v,yt)|0)+(i>>>13)|0)+(xt>>>26)|0,xt&=67108863,n=Math.imul(C,Y),i=(i=Math.imul(C,Q))+Math.imul(L,Y)|0,o=Math.imul(L,Q),n=n+Math.imul(I,X)|0,i=(i=i+Math.imul(I,tt)|0)+Math.imul(N,X)|0,o=o+Math.imul(N,tt)|0,n=n+Math.imul(R,rt)|0,i=(i=i+Math.imul(R,nt)|0)+Math.imul(B,rt)|0,o=o+Math.imul(B,nt)|0,n=n+Math.imul(j,ot)|0,i=(i=i+Math.imul(j,st)|0)+Math.imul($,ot)|0,o=o+Math.imul($,st)|0,n=n+Math.imul(E,ut)|0,i=(i=i+Math.imul(E,ht)|0)+Math.imul(x,ut)|0,o=o+Math.imul(x,ht)|0,n=n+Math.imul(S,ct)|0,i=(i=i+Math.imul(S,lt)|0)+Math.imul(O,ct)|0,o=o+Math.imul(O,lt)|0;var kt=(h+(n=n+Math.imul(w,pt)|0)|0)+((8191&(i=(i=i+Math.imul(w,yt)|0)+Math.imul(_,pt)|0))<<13)|0;h=((o=o+Math.imul(_,yt)|0)+(i>>>13)|0)+(kt>>>26)|0,kt&=67108863,n=Math.imul(C,X),i=(i=Math.imul(C,tt))+Math.imul(L,X)|0,o=Math.imul(L,tt),n=n+Math.imul(I,rt)|0,i=(i=i+Math.imul(I,nt)|0)+Math.imul(N,rt)|0,o=o+Math.imul(N,nt)|0,n=n+Math.imul(R,ot)|0,i=(i=i+Math.imul(R,st)|0)+Math.imul(B,ot)|0,o=o+Math.imul(B,st)|0,n=n+Math.imul(j,ut)|0,i=(i=i+Math.imul(j,ht)|0)+Math.imul($,ut)|0,o=o+Math.imul($,ht)|0,n=n+Math.imul(E,ct)|0,i=(i=i+Math.imul(E,lt)|0)+Math.imul(x,ct)|0,o=o+Math.imul(x,lt)|0;var jt=(h+(n=n+Math.imul(S,pt)|0)|0)+((8191&(i=(i=i+Math.imul(S,yt)|0)+Math.imul(O,pt)|0))<<13)|0;h=((o=o+Math.imul(O,yt)|0)+(i>>>13)|0)+(jt>>>26)|0,jt&=67108863,n=Math.imul(C,rt),i=(i=Math.imul(C,nt))+Math.imul(L,rt)|0,o=Math.imul(L,nt),n=n+Math.imul(I,ot)|0,i=(i=i+Math.imul(I,st)|0)+Math.imul(N,ot)|0,o=o+Math.imul(N,st)|0,n=n+Math.imul(R,ut)|0,i=(i=i+Math.imul(R,ht)|0)+Math.imul(B,ut)|0,o=o+Math.imul(B,ht)|0,n=n+Math.imul(j,ct)|0,i=(i=i+Math.imul(j,lt)|0)+Math.imul($,ct)|0,o=o+Math.imul($,lt)|0;var $t=(h+(n=n+Math.imul(E,pt)|0)|0)+((8191&(i=(i=i+Math.imul(E,yt)|0)+Math.imul(x,pt)|0))<<13)|0;h=((o=o+Math.imul(x,yt)|0)+(i>>>13)|0)+($t>>>26)|0,$t&=67108863,n=Math.imul(C,ot),i=(i=Math.imul(C,st))+Math.imul(L,ot)|0,o=Math.imul(L,st),n=n+Math.imul(I,ut)|0,i=(i=i+Math.imul(I,ht)|0)+Math.imul(N,ut)|0,o=o+Math.imul(N,ht)|0,n=n+Math.imul(R,ct)|0,i=(i=i+Math.imul(R,lt)|0)+Math.imul(B,ct)|0,o=o+Math.imul(B,lt)|0;var Pt=(h+(n=n+Math.imul(j,pt)|0)|0)+((8191&(i=(i=i+Math.imul(j,yt)|0)+Math.imul($,pt)|0))<<13)|0;h=((o=o+Math.imul($,yt)|0)+(i>>>13)|0)+(Pt>>>26)|0,Pt&=67108863,n=Math.imul(C,ut),i=(i=Math.imul(C,ht))+Math.imul(L,ut)|0,o=Math.imul(L,ht),n=n+Math.imul(I,ct)|0,i=(i=i+Math.imul(I,lt)|0)+Math.imul(N,ct)|0,o=o+Math.imul(N,lt)|0;var Rt=(h+(n=n+Math.imul(R,pt)|0)|0)+((8191&(i=(i=i+Math.imul(R,yt)|0)+Math.imul(B,pt)|0))<<13)|0;h=((o=o+Math.imul(B,yt)|0)+(i>>>13)|0)+(Rt>>>26)|0,Rt&=67108863,n=Math.imul(C,ct),i=(i=Math.imul(C,lt))+Math.imul(L,ct)|0,o=Math.imul(L,lt);var Bt=(h+(n=n+Math.imul(I,pt)|0)|0)+((8191&(i=(i=i+Math.imul(I,yt)|0)+Math.imul(N,pt)|0))<<13)|0;h=((o=o+Math.imul(N,yt)|0)+(i>>>13)|0)+(Bt>>>26)|0,Bt&=67108863;var Tt=(h+(n=Math.imul(C,pt))|0)+((8191&(i=(i=Math.imul(C,yt))+Math.imul(L,pt)|0))<<13)|0;return h=((o=Math.imul(L,yt))+(i>>>13)|0)+(Tt>>>26)|0,Tt&=67108863,u[0]=mt,u[1]=bt,u[2]=vt,u[3]=gt,u[4]=wt,u[5]=_t,u[6]=Mt,u[7]=St,u[8]=Ot,u[9]=At,u[10]=Et,u[11]=xt,u[12]=kt,u[13]=jt,u[14]=$t,u[15]=Pt,u[16]=Rt,u[17]=Bt,u[18]=Tt,0!==h&&(u[19]=h,r.length++),r};function m(t,e,r){return(new b).mulp(t,e,r)}function b(t,e){this.x=t,this.y=e}Math.imul||(y=p),s.prototype.mulTo=function(t,e){var r=this.length+t.length;return 10===this.length&&10===t.length?y(this,t,e):r<63?p(this,t,e):r<1024?function(t,e,r){r.negative=e.negative^t.negative,r.length=t.length+e.length;for(var n=0,i=0,o=0;o<r.length-1;o++){var s=i;i=0;for(var a=67108863&n,u=Math.min(o,e.length-1),h=Math.max(0,o-t.length+1);h<=u;h++){var f=o-h,c=(0|t.words[f])*(0|e.words[h]),l=67108863&c;a=67108863&(l=l+a|0),i+=(s=(s=s+(c/67108864|0)|0)+(l>>>26)|0)>>>26,s&=67108863}r.words[o]=a,n=s,s=i}return 0!==n?r.words[o]=n:r.length--,r.strip()}(this,t,e):m(this,t,e)},b.prototype.makeRBT=function(t){for(var e=new Array(t),r=s.prototype._countBits(t)-1,n=0;n<t;n++)e[n]=this.revBin(n,r,t);return e},b.prototype.revBin=function(t,e,r){if(0===t||t===r-1)return t;for(var n=0,i=0;i<e;i++)n|=(1&t)<<e-i-1,t>>=1;return n},b.prototype.permute=function(t,e,r,n,i,o){for(var s=0;s<o;s++)n[s]=e[t[s]],i[s]=r[t[s]]},b.prototype.transform=function(t,e,r,n,i,o){this.permute(o,t,e,r,n,i);for(var s=1;s<i;s<<=1)for(var a=s<<1,u=Math.cos(2*Math.PI/a),h=Math.sin(2*Math.PI/a),f=0;f<i;f+=a)for(var c=u,l=h,d=0;d<s;d++){var p=r[f+d],y=n[f+d],m=r[f+d+s],b=n[f+d+s],v=c*m-l*b;b=c*b+l*m,m=v,r[f+d]=p+m,n[f+d]=y+b,r[f+d+s]=p-m,n[f+d+s]=y-b,d!==a&&(v=u*c-h*l,l=u*l+h*c,c=v)}},b.prototype.guessLen13b=function(t,e){var r=1|Math.max(e,t),n=1&r,i=0;for(r=r/2|0;r;r>>>=1)i++;return 1<<i+1+n},b.prototype.conjugate=function(t,e,r){if(!(r<=1))for(var n=0;n<r/2;n++){var i=t[n];t[n]=t[r-n-1],t[r-n-1]=i,i=e[n],e[n]=-e[r-n-1],e[r-n-1]=-i}},b.prototype.normalize13b=function(t,e){for(var r=0,n=0;n<e/2;n++){var i=8192*Math.round(t[2*n+1]/e)+Math.round(t[2*n]/e)+r;t[n]=67108863&i,r=i<67108864?0:i/67108864|0}return t},b.prototype.convert13b=function(t,e,r,n){for(var o=0,s=0;s<e;s++)o+=0|t[s],r[2*s]=8191&o,o>>>=13,r[2*s+1]=8191&o,o>>>=13;for(s=2*e;s<n;++s)r[s]=0;i(0===o),i(0==(-8192&o))},b.prototype.stub=function(t){for(var e=new Array(t),r=0;r<t;r++)e[r]=0;return e},b.prototype.mulp=function(t,e,r){var n=2*this.guessLen13b(t.length,e.length),i=this.makeRBT(n),o=this.stub(n),s=new Array(n),a=new Array(n),u=new Array(n),h=new Array(n),f=new Array(n),c=new Array(n),l=r.words;l.length=n,this.convert13b(t.words,t.length,s,n),this.convert13b(e.words,e.length,h,n),this.transform(s,o,a,u,n,i),this.transform(h,o,f,c,n,i);for(var d=0;d<n;d++){var p=a[d]*f[d]-u[d]*c[d];u[d]=a[d]*c[d]+u[d]*f[d],a[d]=p}return this.conjugate(a,u,n),this.transform(a,u,l,o,n,i),this.conjugate(l,o,n),this.normalize13b(l,n),r.negative=t.negative^e.negative,r.length=t.length+e.length,r.strip()},s.prototype.mul=function(t){var e=new s(null);return e.words=new Array(this.length+t.length),this.mulTo(t,e)},s.prototype.mulf=function(t){var e=new s(null);return e.words=new Array(this.length+t.length),m(this,t,e)},s.prototype.imul=function(t){return this.clone().mulTo(t,this)},s.prototype.imuln=function(t){i("number"==typeof t),i(t<67108864);for(var e=0,r=0;r<this.length;r++){var n=(0|this.words[r])*t,o=(67108863&n)+(67108863&e);e>>=26,e+=n/67108864|0,e+=o>>>26,this.words[r]=67108863&o}return 0!==e&&(this.words[r]=e,this.length++),this},s.prototype.muln=function(t){return this.clone().imuln(t)},s.prototype.sqr=function(){return this.mul(this)},s.prototype.isqr=function(){return this.imul(this.clone())},s.prototype.pow=function(t){var e=function(t){for(var e=new Array(t.bitLength()),r=0;r<e.length;r++){var n=r/26|0,i=r%26;e[r]=(t.words[n]&1<<i)>>>i}return e}(t);if(0===e.length)return new s(1);for(var r=this,n=0;n<e.length&&0===e[n];n++,r=r.sqr());if(++n<e.length)for(var i=r.sqr();n<e.length;n++,i=i.sqr())0!==e[n]&&(r=r.mul(i));return r},s.prototype.iushln=function(t){i("number"==typeof t&&t>=0);var e,r=t%26,n=(t-r)/26,o=67108863>>>26-r<<26-r;if(0!==r){var s=0;for(e=0;e<this.length;e++){var a=this.words[e]&o,u=(0|this.words[e])-a<<r;this.words[e]=u|s,s=a>>>26-r}s&&(this.words[e]=s,this.length++)}if(0!==n){for(e=this.length-1;e>=0;e--)this.words[e+n]=this.words[e];for(e=0;e<n;e++)this.words[e]=0;this.length+=n}return this.strip()},s.prototype.ishln=function(t){return i(0===this.negative),this.iushln(t)},s.prototype.iushrn=function(t,e,r){var n;i("number"==typeof t&&t>=0),n=e?(e-e%26)/26:0;var o=t%26,s=Math.min((t-o)/26,this.length),a=67108863^67108863>>>o<<o,u=r;if(n-=s,n=Math.max(0,n),u){for(var h=0;h<s;h++)u.words[h]=this.words[h];u.length=s}if(0===s);else if(this.length>s)for(this.length-=s,h=0;h<this.length;h++)this.words[h]=this.words[h+s];else this.words[0]=0,this.length=1;var f=0;for(h=this.length-1;h>=0&&(0!==f||h>=n);h--){var c=0|this.words[h];this.words[h]=f<<26-o|c>>>o,f=c&a}return u&&0!==f&&(u.words[u.length++]=f),0===this.length&&(this.words[0]=0,this.length=1),this.strip()},s.prototype.ishrn=function(t,e,r){return i(0===this.negative),this.iushrn(t,e,r)},s.prototype.shln=function(t){return this.clone().ishln(t)},s.prototype.ushln=function(t){return this.clone().iushln(t)},s.prototype.shrn=function(t){return this.clone().ishrn(t)},s.prototype.ushrn=function(t){return this.clone().iushrn(t)},s.prototype.testn=function(t){i("number"==typeof t&&t>=0);var e=t%26,r=(t-e)/26,n=1<<e;return!(this.length<=r)&&!!(this.words[r]&n)},s.prototype.imaskn=function(t){i("number"==typeof t&&t>=0);var e=t%26,r=(t-e)/26;if(i(0===this.negative,"imaskn works only with positive numbers"),this.length<=r)return this;if(0!==e&&r++,this.length=Math.min(r,this.length),0!==e){var n=67108863^67108863>>>e<<e;this.words[this.length-1]&=n}return this.strip()},s.prototype.maskn=function(t){return this.clone().imaskn(t)},s.prototype.iaddn=function(t){return i("number"==typeof t),i(t<67108864),t<0?this.isubn(-t):0!==this.negative?1===this.length&&(0|this.words[0])<t?(this.words[0]=t-(0|this.words[0]),this.negative=0,this):(this.negative=0,this.isubn(t),this.negative=1,this):this._iaddn(t)},s.prototype._iaddn=function(t){this.words[0]+=t;for(var e=0;e<this.length&&this.words[e]>=67108864;e++)this.words[e]-=67108864,e===this.length-1?this.words[e+1]=1:this.words[e+1]++;return this.length=Math.max(this.length,e+1),this},s.prototype.isubn=function(t){if(i("number"==typeof t),i(t<67108864),t<0)return this.iaddn(-t);if(0!==this.negative)return this.negative=0,this.iaddn(t),this.negative=1,this;if(this.words[0]-=t,1===this.length&&this.words[0]<0)this.words[0]=-this.words[0],this.negative=1;else for(var e=0;e<this.length&&this.words[e]<0;e++)this.words[e]+=67108864,this.words[e+1]-=1;return this.strip()},s.prototype.addn=function(t){return this.clone().iaddn(t)},s.prototype.subn=function(t){return this.clone().isubn(t)},s.prototype.iabs=function(){return this.negative=0,this},s.prototype.abs=function(){return this.clone().iabs()},s.prototype._ishlnsubmul=function(t,e,r){var n,o,s=t.length+r;this._expand(s);var a=0;for(n=0;n<t.length;n++){o=(0|this.words[n+r])+a;var u=(0|t.words[n])*e;a=((o-=67108863&u)>>26)-(u/67108864|0),this.words[n+r]=67108863&o}for(;n<this.length-r;n++)a=(o=(0|this.words[n+r])+a)>>26,this.words[n+r]=67108863&o;if(0===a)return this.strip();for(i(-1===a),a=0,n=0;n<this.length;n++)a=(o=-(0|this.words[n])+a)>>26,this.words[n]=67108863&o;return this.negative=1,this.strip()},s.prototype._wordDiv=function(t,e){var r=(this.length,t.length),n=this.clone(),i=t,o=0|i.words[i.length-1];0!==(r=26-this._countBits(o))&&(i=i.ushln(r),n.iushln(r),o=0|i.words[i.length-1]);var a,u=n.length-i.length;if("mod"!==e){(a=new s(null)).length=u+1,a.words=new Array(a.length);for(var h=0;h<a.length;h++)a.words[h]=0}var f=n.clone()._ishlnsubmul(i,1,u);0===f.negative&&(n=f,a&&(a.words[u]=1));for(var c=u-1;c>=0;c--){var l=67108864*(0|n.words[i.length+c])+(0|n.words[i.length+c-1]);for(l=Math.min(l/o|0,67108863),n._ishlnsubmul(i,l,c);0!==n.negative;)l--,n.negative=0,n._ishlnsubmul(i,1,c),n.isZero()||(n.negative^=1);a&&(a.words[c]=l)}return a&&a.strip(),n.strip(),"div"!==e&&0!==r&&n.iushrn(r),{div:a||null,mod:n}},s.prototype.divmod=function(t,e,r){return i(!t.isZero()),this.isZero()?{div:new s(0),mod:new s(0)}:0!==this.negative&&0===t.negative?(a=this.neg().divmod(t,e),"mod"!==e&&(n=a.div.neg()),"div"!==e&&(o=a.mod.neg(),r&&0!==o.negative&&o.iadd(t)),{div:n,mod:o}):0===this.negative&&0!==t.negative?(a=this.divmod(t.neg(),e),"mod"!==e&&(n=a.div.neg()),{div:n,mod:a.mod}):0!=(this.negative&t.negative)?(a=this.neg().divmod(t.neg(),e),"div"!==e&&(o=a.mod.neg(),r&&0!==o.negative&&o.isub(t)),{div:a.div,mod:o}):t.length>this.length||this.cmp(t)<0?{div:new s(0),mod:this}:1===t.length?"div"===e?{div:this.divn(t.words[0]),mod:null}:"mod"===e?{div:null,mod:new s(this.modn(t.words[0]))}:{div:this.divn(t.words[0]),mod:new s(this.modn(t.words[0]))}:this._wordDiv(t,e);var n,o,a},s.prototype.div=function(t){return this.divmod(t,"div",!1).div},s.prototype.mod=function(t){return this.divmod(t,"mod",!1).mod},s.prototype.umod=function(t){return this.divmod(t,"mod",!0).mod},s.prototype.divRound=function(t){var e=this.divmod(t);if(e.mod.isZero())return e.div;var r=0!==e.div.negative?e.mod.isub(t):e.mod,n=t.ushrn(1),i=t.andln(1),o=r.cmp(n);return o<0||1===i&&0===o?e.div:0!==e.div.negative?e.div.isubn(1):e.div.iaddn(1)},s.prototype.modn=function(t){i(t<=67108863);for(var e=(1<<26)%t,r=0,n=this.length-1;n>=0;n--)r=(e*r+(0|this.words[n]))%t;return r},s.prototype.idivn=function(t){i(t<=67108863);for(var e=0,r=this.length-1;r>=0;r--){var n=(0|this.words[r])+67108864*e;this.words[r]=n/t|0,e=n%t}return this.strip()},s.prototype.divn=function(t){return this.clone().idivn(t)},s.prototype.egcd=function(t){i(0===t.negative),i(!t.isZero());var e=this,r=t.clone();e=0!==e.negative?e.umod(t):e.clone();for(var n=new s(1),o=new s(0),a=new s(0),u=new s(1),h=0;e.isEven()&&r.isEven();)e.iushrn(1),r.iushrn(1),++h;for(var f=r.clone(),c=e.clone();!e.isZero();){for(var l=0,d=1;0==(e.words[0]&d)&&l<26;++l,d<<=1);if(l>0)for(e.iushrn(l);l-- >0;)(n.isOdd()||o.isOdd())&&(n.iadd(f),o.isub(c)),n.iushrn(1),o.iushrn(1);for(var p=0,y=1;0==(r.words[0]&y)&&p<26;++p,y<<=1);if(p>0)for(r.iushrn(p);p-- >0;)(a.isOdd()||u.isOdd())&&(a.iadd(f),u.isub(c)),a.iushrn(1),u.iushrn(1);e.cmp(r)>=0?(e.isub(r),n.isub(a),o.isub(u)):(r.isub(e),a.isub(n),u.isub(o))}return{a:a,b:u,gcd:r.iushln(h)}},s.prototype._invmp=function(t){i(0===t.negative),i(!t.isZero());var e=this,r=t.clone();e=0!==e.negative?e.umod(t):e.clone();for(var n,o=new s(1),a=new s(0),u=r.clone();e.cmpn(1)>0&&r.cmpn(1)>0;){for(var h=0,f=1;0==(e.words[0]&f)&&h<26;++h,f<<=1);if(h>0)for(e.iushrn(h);h-- >0;)o.isOdd()&&o.iadd(u),o.iushrn(1);for(var c=0,l=1;0==(r.words[0]&l)&&c<26;++c,l<<=1);if(c>0)for(r.iushrn(c);c-- >0;)a.isOdd()&&a.iadd(u),a.iushrn(1);e.cmp(r)>=0?(e.isub(r),o.isub(a)):(r.isub(e),a.isub(o))}return(n=0===e.cmpn(1)?o:a).cmpn(0)<0&&n.iadd(t),n},s.prototype.gcd=function(t){if(this.isZero())return t.abs();if(t.isZero())return this.abs();var e=this.clone(),r=t.clone();e.negative=0,r.negative=0;for(var n=0;e.isEven()&&r.isEven();n++)e.iushrn(1),r.iushrn(1);for(;;){for(;e.isEven();)e.iushrn(1);for(;r.isEven();)r.iushrn(1);var i=e.cmp(r);if(i<0){var o=e;e=r,r=o}else if(0===i||0===r.cmpn(1))break;e.isub(r)}return r.iushln(n)},s.prototype.invm=function(t){return this.egcd(t).a.umod(t)},s.prototype.isEven=function(){return 0==(1&this.words[0])},s.prototype.isOdd=function(){return 1==(1&this.words[0])},s.prototype.andln=function(t){return this.words[0]&t},s.prototype.bincn=function(t){i("number"==typeof t);var e=t%26,r=(t-e)/26,n=1<<e;if(this.length<=r)return this._expand(r+1),this.words[r]|=n,this;for(var o=n,s=r;0!==o&&s<this.length;s++){var a=0|this.words[s];o=(a+=o)>>>26,a&=67108863,this.words[s]=a}return 0!==o&&(this.words[s]=o,this.length++),this},s.prototype.isZero=function(){return 1===this.length&&0===this.words[0]},s.prototype.cmpn=function(t){var e,r=t<0;if(0!==this.negative&&!r)return-1;if(0===this.negative&&r)return 1;if(this.strip(),this.length>1)e=1;else{r&&(t=-t),i(t<=67108863,"Number is too big");var n=0|this.words[0];e=n===t?0:n<t?-1:1}return 0!==this.negative?0|-e:e},s.prototype.cmp=function(t){if(0!==this.negative&&0===t.negative)return-1;if(0===this.negative&&0!==t.negative)return 1;var e=this.ucmp(t);return 0!==this.negative?0|-e:e},s.prototype.ucmp=function(t){if(this.length>t.length)return 1;if(this.length<t.length)return-1;for(var e=0,r=this.length-1;r>=0;r--){var n=0|this.words[r],i=0|t.words[r];if(n!==i){n<i?e=-1:n>i&&(e=1);break}}return e},s.prototype.gtn=function(t){return 1===this.cmpn(t)},s.prototype.gt=function(t){return 1===this.cmp(t)},s.prototype.gten=function(t){return this.cmpn(t)>=0},s.prototype.gte=function(t){return this.cmp(t)>=0},s.prototype.ltn=function(t){return-1===this.cmpn(t)},s.prototype.lt=function(t){return-1===this.cmp(t)},s.prototype.lten=function(t){return this.cmpn(t)<=0},s.prototype.lte=function(t){return this.cmp(t)<=0},s.prototype.eqn=function(t){return 0===this.cmpn(t)},s.prototype.eq=function(t){return 0===this.cmp(t)},s.red=function(t){return new O(t)},s.prototype.toRed=function(t){return i(!this.red,"Already a number in reduction context"),i(0===this.negative,"red works only with positives"),t.convertTo(this)._forceRed(t)},s.prototype.fromRed=function(){return i(this.red,"fromRed works only with numbers in reduction context"),this.red.convertFrom(this)},s.prototype._forceRed=function(t){return this.red=t,this},s.prototype.forceRed=function(t){return i(!this.red,"Already a number in reduction context"),this._forceRed(t)},s.prototype.redAdd=function(t){return i(this.red,"redAdd works only with red numbers"),this.red.add(this,t)},s.prototype.redIAdd=function(t){return i(this.red,"redIAdd works only with red numbers"),this.red.iadd(this,t)},s.prototype.redSub=function(t){return i(this.red,"redSub works only with red numbers"),this.red.sub(this,t)},s.prototype.redISub=function(t){return i(this.red,"redISub works only with red numbers"),this.red.isub(this,t)},s.prototype.redShl=function(t){return i(this.red,"redShl works only with red numbers"),this.red.shl(this,t)},s.prototype.redMul=function(t){return i(this.red,"redMul works only with red numbers"),this.red._verify2(this,t),this.red.mul(this,t)},s.prototype.redIMul=function(t){return i(this.red,"redMul works only with red numbers"),this.red._verify2(this,t),this.red.imul(this,t)},s.prototype.redSqr=function(){return i(this.red,"redSqr works only with red numbers"),this.red._verify1(this),this.red.sqr(this)},s.prototype.redISqr=function(){return i(this.red,"redISqr works only with red numbers"),this.red._verify1(this),this.red.isqr(this)},s.prototype.redSqrt=function(){return i(this.red,"redSqrt works only with red numbers"),this.red._verify1(this),this.red.sqrt(this)},s.prototype.redInvm=function(){return i(this.red,"redInvm works only with red numbers"),this.red._verify1(this),this.red.invm(this)},s.prototype.redNeg=function(){return i(this.red,"redNeg works only with red numbers"),this.red._verify1(this),this.red.neg(this)},s.prototype.redPow=function(t){return i(this.red&&!t.red,"redPow(normalNum)"),this.red._verify1(this),this.red.pow(this,t)};var v={k256:null,p224:null,p192:null,p25519:null};function g(t,e){this.name=t,this.p=new s(e,16),this.n=this.p.bitLength(),this.k=new s(1).iushln(this.n).isub(this.p),this.tmp=this._tmp()}function w(){g.call(this,"k256","ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f")}function _(){g.call(this,"p224","ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001")}function M(){g.call(this,"p192","ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff")}function S(){g.call(this,"25519","7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed")}function O(t){if("string"==typeof t){var e=s._prime(t);this.m=e.p,this.prime=e}else i(t.gtn(1),"modulus must be greater than 1"),this.m=t,this.prime=null}function A(t){O.call(this,t),this.shift=this.m.bitLength(),this.shift%26!=0&&(this.shift+=26-this.shift%26),this.r=new s(1).iushln(this.shift),this.r2=this.imod(this.r.sqr()),this.rinv=this.r._invmp(this.m),this.minv=this.rinv.mul(this.r).isubn(1).div(this.m),this.minv=this.minv.umod(this.r),this.minv=this.r.sub(this.minv)}g.prototype._tmp=function(){var t=new s(null);return t.words=new Array(Math.ceil(this.n/13)),t},g.prototype.ireduce=function(t){var e,r=t;do{this.split(r,this.tmp),e=(r=(r=this.imulK(r)).iadd(this.tmp)).bitLength()}while(e>this.n);var n=e<this.n?-1:r.ucmp(this.p);return 0===n?(r.words[0]=0,r.length=1):n>0?r.isub(this.p):void 0!==r.strip?r.strip():r._strip(),r},g.prototype.split=function(t,e){t.iushrn(this.n,0,e)},g.prototype.imulK=function(t){return t.imul(this.k)},o(w,g),w.prototype.split=function(t,e){for(var r=Math.min(t.length,9),n=0;n<r;n++)e.words[n]=t.words[n];if(e.length=r,t.length<=9)return t.words[0]=0,void(t.length=1);var i=t.words[9];for(e.words[e.length++]=4194303&i,n=10;n<t.length;n++){var o=0|t.words[n];t.words[n-10]=(4194303&o)<<4|i>>>22,i=o}i>>>=22,t.words[n-10]=i,0===i&&t.length>10?t.length-=10:t.length-=9},w.prototype.imulK=function(t){t.words[t.length]=0,t.words[t.length+1]=0,t.length+=2;for(var e=0,r=0;r<t.length;r++){var n=0|t.words[r];e+=977*n,t.words[r]=67108863&e,e=64*n+(e/67108864|0)}return 0===t.words[t.length-1]&&(t.length--,0===t.words[t.length-1]&&t.length--),t},o(_,g),o(M,g),o(S,g),S.prototype.imulK=function(t){for(var e=0,r=0;r<t.length;r++){var n=19*(0|t.words[r])+e,i=67108863&n;n>>>=26,t.words[r]=i,e=n}return 0!==e&&(t.words[t.length++]=e),t},s._prime=function(t){if(v[t])return v[t];var e;if("k256"===t)e=new w;else if("p224"===t)e=new _;else if("p192"===t)e=new M;else{if("p25519"!==t)throw new Error("Unknown prime "+t);e=new S}return v[t]=e,e},O.prototype._verify1=function(t){i(0===t.negative,"red works only with positives"),i(t.red,"red works only with red numbers")},O.prototype._verify2=function(t,e){i(0==(t.negative|e.negative),"red works only with positives"),i(t.red&&t.red===e.red,"red works only with red numbers")},O.prototype.imod=function(t){return this.prime?this.prime.ireduce(t)._forceRed(this):t.umod(this.m)._forceRed(this)},O.prototype.neg=function(t){return 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this.pow(t,r)}for(var n=this.m.subn(1),o=0;!n.isZero()&&0===n.andln(1);)o++,n.iushrn(1);i(!n.isZero());var a=new s(1).toRed(this),u=a.redNeg(),h=this.m.subn(1).iushrn(1),f=this.m.bitLength();for(f=new s(2*f*f).toRed(this);0!==this.pow(f,h).cmp(u);)f.redIAdd(u);for(var c=this.pow(f,n),l=this.pow(t,n.addn(1).iushrn(1)),d=this.pow(t,n),p=o;0!==d.cmp(a);){for(var y=d,m=0;0!==y.cmp(a);m++)y=y.redSqr();i(m<p);var b=this.pow(c,new s(1).iushln(p-m-1));l=l.redMul(b),c=b.redSqr(),d=d.redMul(c),p=m}return l},O.prototype.invm=function(t){var e=t._invmp(this.m);return 0!==e.negative?(e.negative=0,this.imod(e).redNeg()):this.imod(e)},O.prototype.pow=function(t,e){if(e.isZero())return new s(1).toRed(this);if(0===e.cmpn(1))return t.clone();var r=new Array(16);r[0]=new s(1).toRed(this),r[1]=t;for(var n=2;n<r.length;n++)r[n]=this.mul(r[n-1],t);var i=r[0],o=0,a=0,u=e.bitLength()%26;for(0===u&&(u=26),n=e.length-1;n>=0;n--){for(var h=e.words[n],f=u-1;f>=0;f--){var 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n,i,o=r(2).Buffer,s=r(114),a=r(115),u=r(116),h=r(117),f=e.crypto&&e.crypto.subtle,c={sha:"SHA-1","sha-1":"SHA-1",sha1:"SHA-1",sha256:"SHA-256","sha-256":"SHA-256",sha384:"SHA-384","sha-384":"SHA-384","sha-512":"SHA-512",sha512:"SHA-512"},l=[];function d(){return i||(i=e.process&&e.process.nextTick?e.process.nextTick:e.queueMicrotask?e.queueMicrotask:e.setImmediate?e.setImmediate:e.setTimeout)}function p(t,e,r,n,i){return f.importKey("raw",t,{name:"PBKDF2"},!1,["deriveBits"]).then((function(t){return f.deriveBits({name:"PBKDF2",salt:e,iterations:r,hash:{name:i}},t,n<<3)})).then((function(t){return o.from(t)}))}t.exports=function(t,r,i,y,m,b){"function"==typeof m&&(b=m,m=void 0);var v=c[(m=m||"sha1").toLowerCase()];if(v&&"function"==typeof e.Promise){if(s(i,y),t=h(t,a,"Password"),r=h(r,a,"Salt"),"function"!=typeof b)throw new Error("No callback provided to 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r,n;if(t=t.toLowerCase(),o[t])r=o[t].key,n=o[t].iv;else{if(!s[t])throw new TypeError("invalid suite type");r=8*s[t].key,n=s[t].iv}var i=a(e,!1,r,n);return u(t,i.key,i.iv)},e.createCipheriv=e.Cipheriv=u,e.createDecipher=e.Decipher=function(t,e){var r,n;if(t=t.toLowerCase(),o[t])r=o[t].key,n=o[t].iv;else{if(!s[t])throw new TypeError("invalid suite type");r=8*s[t].key,n=s[t].iv}var i=a(e,!1,r,n);return h(t,i.key,i.iv)},e.createDecipheriv=e.Decipheriv=h,e.listCiphers=e.getCiphers=function(){return Object.keys(s).concat(i.getCiphers())}},function(t,e,r){var n=r(23),i=r(210),o=r(0),s=r(2).Buffer,a={"des-ede3-cbc":i.CBC.instantiate(i.EDE),"des-ede3":i.EDE,"des-ede-cbc":i.CBC.instantiate(i.EDE),"des-ede":i.EDE,"des-cbc":i.CBC.instantiate(i.DES),"des-ecb":i.DES};function u(t){n.call(this);var e,r=t.mode.toLowerCase(),i=a[r];e=t.decrypt?"decrypt":"encrypt";var o=t.key;s.isBuffer(o)||(o=s.from(o)),"des-ede"!==r&&"des-ede-cbc"!==r||(o=s.concat([o,o.slice(0,8)]));var u=t.iv;s.isBuffer(u)||(u=s.from(u)),this._des=i.create({key:o,iv:u,type:e})}a.des=a["des-cbc"],a.des3=a["des-ede3-cbc"],t.exports=u,o(u,n),u.prototype._update=function(t){return s.from(this._des.update(t))},u.prototype._final=function(){return s.from(this._des.final())}},function(t,e,r){"use strict";e.utils=r(118),e.Cipher=r(66),e.DES=r(119),e.CBC=r(211),e.EDE=r(212)},function(t,e,r){"use strict";var n=r(10),i=r(0),o={};function s(t){n.equal(t.length,8,"Invalid IV length"),this.iv=new Array(8);for(var e=0;e<this.iv.length;e++)this.iv[e]=t[e]}e.instantiate=function(t){function e(e){t.call(this,e),this._cbcInit()}i(e,t);for(var r=Object.keys(o),n=0;n<r.length;n++){var s=r[n];e.prototype[s]=o[s]}return e.create=function(t){return new e(t)},e},o._cbcInit=function(){var t=new s(this.options.iv);this._cbcState=t},o._update=function(t,e,r,n){var i=this._cbcState,o=this.constructor.super_.prototype,s=i.iv;if("encrypt"===this.type){for(var a=0;a<this.blockSize;a++)s[a]^=t[e+a];o._update.call(this,s,0,r,n);for(a=0;a<this.blockSize;a++)s[a]=r[n+a]}else{o._update.call(this,t,e,r,n);for(a=0;a<this.blockSize;a++)r[n+a]^=s[a];for(a=0;a<this.blockSize;a++)s[a]=t[e+a]}}},function(t,e,r){"use strict";var n=r(10),i=r(0),o=r(66),s=r(119);function a(t,e){n.equal(e.length,24,"Invalid key length");var r=e.slice(0,8),i=e.slice(8,16),o=e.slice(16,24);this.ciphers="encrypt"===t?[s.create({type:"encrypt",key:r}),s.create({type:"decrypt",key:i}),s.create({type:"encrypt",key:o})]:[s.create({type:"decrypt",key:o}),s.create({type:"encrypt",key:i}),s.create({type:"decrypt",key:r})]}function u(t){o.call(this,t);var e=new a(this.type,this.options.key);this._edeState=e}i(u,o),t.exports=u,u.create=function(t){return new u(t)},u.prototype._update=function(t,e,r,n){var i=this._edeState;i.ciphers[0]._update(t,e,r,n),i.ciphers[1]._update(r,n,r,n),i.ciphers[2]._update(r,n,r,n)},u.prototype._pad=s.prototype._pad,u.prototype._unpad=s.prototype._unpad},function(t,e,r){var n=r(68),i=r(123),o=r(2).Buffer,s=r(124),a=r(23),u=r(48),h=r(49);function f(t,e,r){a.call(this),this._cache=new l,this._cipher=new u.AES(e),this._prev=o.from(r),this._mode=t,this._autopadding=!0}r(0)(f,a),f.prototype._update=function(t){var e,r;this._cache.add(t);for(var n=[];e=this._cache.get();)r=this._mode.encrypt(this,e),n.push(r);return o.concat(n)};var c=o.alloc(16,16);function l(){this.cache=o.allocUnsafe(0)}function d(t,e,r){var a=n[t.toLowerCase()];if(!a)throw new TypeError("invalid suite type");if("string"==typeof e&&(e=o.from(e)),e.length!==a.key/8)throw new TypeError("invalid key length "+e.length);if("string"==typeof r&&(r=o.from(r)),"GCM"!==a.mode&&r.length!==a.iv)throw new TypeError("invalid iv length "+r.length);return"stream"===a.type?new s(a.module,e,r):"auth"===a.type?new i(a.module,e,r):new f(a.module,e,r)}f.prototype._final=function(){var t=this._cache.flush();if(this._autopadding)return t=this._mode.encrypt(this,t),this._cipher.scrub(),t;if(!t.equals(c))throw this._cipher.scrub(),new Error("data not multiple of block length")},f.prototype.setAutoPadding=function(t){return this._autopadding=!!t,this},l.prototype.add=function(t){this.cache=o.concat([this.cache,t])},l.prototype.get=function(){if(this.cache.length>15){var t=this.cache.slice(0,16);return this.cache=this.cache.slice(16),t}return null},l.prototype.flush=function(){for(var t=16-this.cache.length,e=o.allocUnsafe(t),r=-1;++r<t;)e.writeUInt8(t,r);return o.concat([this.cache,e])},e.createCipheriv=d,e.createCipher=function(t,e){var r=n[t.toLowerCase()];if(!r)throw new TypeError("invalid suite type");var i=h(e,!1,r.key,r.iv);return d(t,i.key,i.iv)}},function(t,e){e.encrypt=function(t,e){return t._cipher.encryptBlock(e)},e.decrypt=function(t,e){return t._cipher.decryptBlock(e)}},function(t,e,r){var n=r(38);e.encrypt=function(t,e){var r=n(e,t._prev);return t._prev=t._cipher.encryptBlock(r),t._prev},e.decrypt=function(t,e){var r=t._prev;t._prev=e;var i=t._cipher.decryptBlock(e);return n(i,r)}},function(t,e,r){var n=r(2).Buffer,i=r(38);function o(t,e,r){var o=e.length,s=i(e,t._cache);return t._cache=t._cache.slice(o),t._prev=n.concat([t._prev,r?e:s]),s}e.encrypt=function(t,e,r){for(var i,s=n.allocUnsafe(0);e.length;){if(0===t._cache.length&&(t._cache=t._cipher.encryptBlock(t._prev),t._prev=n.allocUnsafe(0)),!(t._cache.length<=e.length)){s=n.concat([s,o(t,e,r)]);break}i=t._cache.length,s=n.concat([s,o(t,e.slice(0,i),r)]),e=e.slice(i)}return s}},function(t,e,r){var n=r(2).Buffer;function i(t,e,r){var i=t._cipher.encryptBlock(t._prev)[0]^e;return t._prev=n.concat([t._prev.slice(1),n.from([r?e:i])]),i}e.encrypt=function(t,e,r){for(var o=e.length,s=n.allocUnsafe(o),a=-1;++a<o;)s[a]=i(t,e[a],r);return s}},function(t,e,r){var n=r(2).Buffer;function i(t,e,r){for(var n,i,s=-1,a=0;++s<8;)n=e&1<<7-s?128:0,a+=(128&(i=t._cipher.encryptBlock(t._prev)[0]^n))>>s%8,t._prev=o(t._prev,r?n:i);return a}function o(t,e){var r=t.length,i=-1,o=n.allocUnsafe(t.length);for(t=n.concat([t,n.from([e])]);++i<r;)o[i]=t[i]<<1|t[i+1]>>7;return o}e.encrypt=function(t,e,r){for(var o=e.length,s=n.allocUnsafe(o),a=-1;++a<o;)s[a]=i(t,e[a],r);return s}},function(t,e,r){(function(t){var n=r(38);function i(t){return t._prev=t._cipher.encryptBlock(t._prev),t._prev}e.encrypt=function(e,r){for(;e._cache.length<r.length;)e._cache=t.concat([e._cache,i(e)]);var o=e._cache.slice(0,r.length);return e._cache=e._cache.slice(r.length),n(r,o)}}).call(this,r(3).Buffer)},function(t,e,r){var n=r(2).Buffer,i=n.alloc(16,0);function o(t){var e=n.allocUnsafe(16);return e.writeUInt32BE(t[0]>>>0,0),e.writeUInt32BE(t[1]>>>0,4),e.writeUInt32BE(t[2]>>>0,8),e.writeUInt32BE(t[3]>>>0,12),e}function s(t){this.h=t,this.state=n.alloc(16,0),this.cache=n.allocUnsafe(0)}s.prototype.ghash=function(t){for(var e=-1;++e<t.length;)this.state[e]^=t[e];this._multiply()},s.prototype._multiply=function(){for(var t,e,r,n=[(t=this.h).readUInt32BE(0),t.readUInt32BE(4),t.readUInt32BE(8),t.readUInt32BE(12)],i=[0,0,0,0],s=-1;++s<128;){for(0!=(this.state[~~(s/8)]&1<<7-s%8)&&(i[0]^=n[0],i[1]^=n[1],i[2]^=n[2],i[3]^=n[3]),r=0!=(1&n[3]),e=3;e>0;e--)n[e]=n[e]>>>1|(1&n[e-1])<<31;n[0]=n[0]>>>1,r&&(n[0]=n[0]^225<<24)}this.state=o(i)},s.prototype.update=function(t){var e;for(this.cache=n.concat([this.cache,t]);this.cache.length>=16;)e=this.cache.slice(0,16),this.cache=this.cache.slice(16),this.ghash(e)},s.prototype.final=function(t,e){return this.cache.length&&this.ghash(n.concat([this.cache,i],16)),this.ghash(o([0,t,0,e])),this.state},t.exports=s},function(t,e,r){var n=r(123),i=r(2).Buffer,o=r(68),s=r(124),a=r(23),u=r(48),h=r(49);function f(t,e,r){a.call(this),this._cache=new c,this._last=void 0,this._cipher=new u.AES(e),this._prev=i.from(r),this._mode=t,this._autopadding=!0}function c(){this.cache=i.allocUnsafe(0)}function l(t,e,r){var a=o[t.toLowerCase()];if(!a)throw new TypeError("invalid suite type");if("string"==typeof r&&(r=i.from(r)),"GCM"!==a.mode&&r.length!==a.iv)throw new TypeError("invalid iv length "+r.length);if("string"==typeof e&&(e=i.from(e)),e.length!==a.key/8)throw new TypeError("invalid key length "+e.length);return"stream"===a.type?new s(a.module,e,r,!0):"auth"===a.type?new n(a.module,e,r,!0):new f(a.module,e,r)}r(0)(f,a),f.prototype._update=function(t){var e,r;this._cache.add(t);for(var n=[];e=this._cache.get(this._autopadding);)r=this._mode.decrypt(this,e),n.push(r);return i.concat(n)},f.prototype._final=function(){var t=this._cache.flush();if(this._autopadding)return function(t){var e=t[15];if(e<1||e>16)throw new Error("unable to decrypt data");var r=-1;for(;++r<e;)if(t[r+(16-e)]!==e)throw new Error("unable to decrypt data");if(16===e)return;return t.slice(0,16-e)}(this._mode.decrypt(this,t));if(t)throw new Error("data not multiple of block length")},f.prototype.setAutoPadding=function(t){return this._autopadding=!!t,this},c.prototype.add=function(t){this.cache=i.concat([this.cache,t])},c.prototype.get=function(t){var e;if(t){if(this.cache.length>16)return e=this.cache.slice(0,16),this.cache=this.cache.slice(16),e}else if(this.cache.length>=16)return e=this.cache.slice(0,16),this.cache=this.cache.slice(16),e;return null},c.prototype.flush=function(){if(this.cache.length)return this.cache},e.createDecipher=function(t,e){var r=o[t.toLowerCase()];if(!r)throw new TypeError("invalid suite type");var n=h(e,!1,r.key,r.iv);return l(t,n.key,n.iv)},e.createDecipheriv=l},function(t,e){e["des-ecb"]={key:8,iv:0},e["des-cbc"]=e.des={key:8,iv:8},e["des-ede3-cbc"]=e.des3={key:24,iv:8},e["des-ede3"]={key:24,iv:0},e["des-ede-cbc"]={key:16,iv:8},e["des-ede"]={key:16,iv:0}},function(t,e,r){(function(t){var n=r(125),i=r(228),o=r(229);var s={binary:!0,hex:!0,base64:!0};e.DiffieHellmanGroup=e.createDiffieHellmanGroup=e.getDiffieHellman=function(e){var r=new t(i[e].prime,"hex"),n=new t(i[e].gen,"hex");return new o(r,n)},e.createDiffieHellman=e.DiffieHellman=function e(r,i,a,u){return t.isBuffer(i)||void 0===s[i]?e(r,"binary",i,a):(i=i||"binary",u=u||"binary",a=a||new t([2]),t.isBuffer(a)||(a=new t(a,u)),"number"==typeof r?new o(n(r,a),a,!0):(t.isBuffer(r)||(r=new t(r,i)),new o(r,a,!0)))}}).call(this,r(3).Buffer)},function(t,e){},function(t,e,r){(function(t){function e(t){return(e="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(t){return typeof t}:function(t){return t&&"function"==typeof Symbol&&t.constructor===Symbol&&t!==Symbol.prototype?"symbol":typeof t})(t)}!function(t,n){"use strict";function i(t,e){if(!t)throw new Error(e||"Assertion failed")}function o(t,e){t.super_=e;var r=function(){};r.prototype=e.prototype,t.prototype=new r,t.prototype.constructor=t}function s(t,e,r){if(s.isBN(t))return 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o=0;"-"===(t=t.toString().replace(/\s+/g,""))[0]&&(o++,this.negative=1),o<t.length&&(16===r?this._parseHex(t,o,n):(this._parseBase(t,r,o),"le"===n&&this._initArray(this.toArray(),r,n)))},s.prototype._initNumber=function(t,e,r){t<0&&(this.negative=1,t=-t),t<67108864?(this.words=[67108863&t],this.length=1):t<4503599627370496?(this.words=[67108863&t,t/67108864&67108863],this.length=2):(i(t<9007199254740992),this.words=[67108863&t,t/67108864&67108863,1],this.length=3),"le"===r&&this._initArray(this.toArray(),e,r)},s.prototype._initArray=function(t,e,r){if(i("number"==typeof t.length),t.length<=0)return this.words=[0],this.length=1,this;this.length=Math.ceil(t.length/3),this.words=new Array(this.length);for(var n=0;n<this.length;n++)this.words[n]=0;var o,s,a=0;if("be"===r)for(n=t.length-1,o=0;n>=0;n-=3)s=t[n]|t[n-1]<<8|t[n-2]<<16,this.words[o]|=s<<a&67108863,this.words[o+1]=s>>>26-a&67108863,(a+=24)>=26&&(a-=26,o++);else if("le"===r)for(n=0,o=0;n<t.length;n+=3)s=t[n]|t[n+1]<<8|t[n+2]<<16,this.words[o]|=s<<a&67108863,this.words[o+1]=s>>>26-a&67108863,(a+=24)>=26&&(a-=26,o++);return this.strip()},s.prototype._parseHex=function(t,e,r){this.length=Math.ceil((t.length-e)/6),this.words=new Array(this.length);for(var n=0;n<this.length;n++)this.words[n]=0;var i,o=0,s=0;if("be"===r)for(n=t.length-1;n>=e;n-=2)i=h(t,e,n)<<o,this.words[s]|=67108863&i,o>=18?(o-=18,s+=1,this.words[s]|=i>>>26):o+=8;else for(n=(t.length-e)%2==0?e+1:e;n<t.length;n+=2)i=h(t,e,n)<<o,this.words[s]|=67108863&i,o>=18?(o-=18,s+=1,this.words[s]|=i>>>26):o+=8;this.strip()},s.prototype._parseBase=function(t,e,r){this.words=[0],this.length=1;for(var n=0,i=1;i<=67108863;i*=e)n++;n--,i=i/e|0;for(var o=t.length-r,s=o%n,a=Math.min(o,o-s)+r,u=0,h=r;h<a;h+=n)u=f(t,h,h+n,e),this.imuln(i),this.words[0]+u<67108864?this.words[0]+=u:this._iaddn(u);if(0!==s){var c=1;for(u=f(t,h,t.length,e),h=0;h<s;h++)c*=e;this.imuln(c),this.words[0]+u<67108864?this.words[0]+=u:this._iaddn(u)}this.strip()},s.prototype.copy=function(t){t.words=new Array(this.length);for(var e=0;e<this.length;e++)t.words[e]=this.words[e];t.length=this.length,t.negative=this.negative,t.red=this.red},s.prototype.clone=function(){var t=new s(null);return this.copy(t),t},s.prototype._expand=function(t){for(;this.length<t;)this.words[this.length++]=0;return this},s.prototype.strip=function(){for(;this.length>1&&0===this.words[this.length-1];)this.length--;return this._normSign()},s.prototype._normSign=function(){return 1===this.length&&0===this.words[0]&&(this.negative=0),this},s.prototype.inspect=function(){return(this.red?"<BN-R: ":"<BN: ")+this.toString(16)+">"};var c=["","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],d=[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];function p(t,e,r){r.negative=e.negative^t.negative;var n=t.length+e.length|0;r.length=n,n=n-1|0;var i=0|t.words[0],o=0|e.words[0],s=i*o,a=67108863&s,u=s/67108864|0;r.words[0]=a;for(var h=1;h<n;h++){for(var f=u>>>26,c=67108863&u,l=Math.min(h,e.length-1),d=Math.max(0,h-t.length+1);d<=l;d++){var p=h-d|0;f+=(s=(i=0|t.words[p])*(o=0|e.words[d])+c)/67108864|0,c=67108863&s}r.words[h]=0|c,u=0|f}return 0!==u?r.words[h]=0|u:r.length--,r.strip()}s.prototype.toString=function(t,e){var r;if(e=0|e||1,16===(t=t||10)||"hex"===t){r="";for(var n=0,o=0,s=0;s<this.length;s++){var a=this.words[s],u=(16777215&(a<<n|o)).toString(16);r=0!==(o=a>>>24-n&16777215)||s!==this.length-1?c[6-u.length]+u+r:u+r,(n+=2)>=26&&(n-=26,s--)}for(0!==o&&(r=o.toString(16)+r);r.length%e!=0;)r="0"+r;return 0!==this.negative&&(r="-"+r),r}if(t===(0|t)&&t>=2&&t<=36){var h=l[t],f=d[t];r="";var p=this.clone();for(p.negative=0;!p.isZero();){var y=p.modn(f).toString(t);r=(p=p.idivn(f)).isZero()?y+r:c[h-y.length]+y+r}for(this.isZero()&&(r="0"+r);r.length%e!=0;)r="0"+r;return 0!==this.negative&&(r="-"+r),r}i(!1,"Base should be between 2 and 36")},s.prototype.toNumber=function(){var t=this.words[0];return 2===this.length?t+=67108864*this.words[1]:3===this.length&&1===this.words[2]?t+=4503599627370496+67108864*this.words[1]:this.length>2&&i(!1,"Number can only safely store up to 53 bits"),0!==this.negative?-t:t},s.prototype.toJSON=function(){return this.toString(16)},s.prototype.toBuffer=function(t,e){return i(void 0!==a),this.toArrayLike(a,t,e)},s.prototype.toArray=function(t,e){return this.toArrayLike(Array,t,e)},s.prototype.toArrayLike=function(t,e,r){var n=this.byteLength(),o=r||Math.max(1,n);i(n<=o,"byte array longer than desired length"),i(o>0,"Requested array length <= 0"),this.strip();var s,a,u="le"===e,h=new t(o),f=this.clone();if(u){for(a=0;!f.isZero();a++)s=f.andln(255),f.iushrn(8),h[a]=s;for(;a<o;a++)h[a]=0}else{for(a=0;a<o-n;a++)h[a]=0;for(a=0;!f.isZero();a++)s=f.andln(255),f.iushrn(8),h[o-a-1]=s}return h},Math.clz32?s.prototype._countBits=function(t){return 32-Math.clz32(t)}:s.prototype._countBits=function(t){var e=t,r=0;return e>=4096&&(r+=13,e>>>=13),e>=64&&(r+=7,e>>>=7),e>=8&&(r+=4,e>>>=4),e>=2&&(r+=2,e>>>=2),r+e},s.prototype._zeroBits=function(t){if(0===t)return 26;var e=t,r=0;return 0==(8191&e)&&(r+=13,e>>>=13),0==(127&e)&&(r+=7,e>>>=7),0==(15&e)&&(r+=4,e>>>=4),0==(3&e)&&(r+=2,e>>>=2),0==(1&e)&&r++,r},s.prototype.bitLength=function(){var t=this.words[this.length-1],e=this._countBits(t);return 26*(this.length-1)+e},s.prototype.zeroBits=function(){if(this.isZero())return 0;for(var t=0,e=0;e<this.length;e++){var r=this._zeroBits(this.words[e]);if(t+=r,26!==r)break}return t},s.prototype.byteLength=function(){return Math.ceil(this.bitLength()/8)},s.prototype.toTwos=function(t){return 0!==this.negative?this.abs().inotn(t).iaddn(1):this.clone()},s.prototype.fromTwos=function(t){return this.testn(t-1)?this.notn(t).iaddn(1).ineg():this.clone()},s.prototype.isNeg=function(){return 0!==this.negative},s.prototype.neg=function(){return this.clone().ineg()},s.prototype.ineg=function(){return this.isZero()||(this.negative^=1),this},s.prototype.iuor=function(t){for(;this.length<t.length;)this.words[this.length++]=0;for(var e=0;e<t.length;e++)this.words[e]=this.words[e]|t.words[e];return this.strip()},s.prototype.ior=function(t){return i(0==(this.negative|t.negative)),this.iuor(t)},s.prototype.or=function(t){return this.length>t.length?this.clone().ior(t):t.clone().ior(this)},s.prototype.uor=function(t){return this.length>t.length?this.clone().iuor(t):t.clone().iuor(this)},s.prototype.iuand=function(t){var e;e=this.length>t.length?t:this;for(var r=0;r<e.length;r++)this.words[r]=this.words[r]&t.words[r];return this.length=e.length,this.strip()},s.prototype.iand=function(t){return i(0==(this.negative|t.negative)),this.iuand(t)},s.prototype.and=function(t){return this.length>t.length?this.clone().iand(t):t.clone().iand(this)},s.prototype.uand=function(t){return this.length>t.length?this.clone().iuand(t):t.clone().iuand(this)},s.prototype.iuxor=function(t){var e,r;this.length>t.length?(e=this,r=t):(e=t,r=this);for(var n=0;n<r.length;n++)this.words[n]=e.words[n]^r.words[n];if(this!==e)for(;n<e.length;n++)this.words[n]=e.words[n];return this.length=e.length,this.strip()},s.prototype.ixor=function(t){return i(0==(this.negative|t.negative)),this.iuxor(t)},s.prototype.xor=function(t){return this.length>t.length?this.clone().ixor(t):t.clone().ixor(this)},s.prototype.uxor=function(t){return this.length>t.length?this.clone().iuxor(t):t.clone().iuxor(this)},s.prototype.inotn=function(t){i("number"==typeof t&&t>=0);var e=0|Math.ceil(t/26),r=t%26;this._expand(e),r>0&&e--;for(var n=0;n<e;n++)this.words[n]=67108863&~this.words[n];return r>0&&(this.words[n]=~this.words[n]&67108863>>26-r),this.strip()},s.prototype.notn=function(t){return this.clone().inotn(t)},s.prototype.setn=function(t,e){i("number"==typeof t&&t>=0);var r=t/26|0,n=t%26;return this._expand(r+1),this.words[r]=e?this.words[r]|1<<n:this.words[r]&~(1<<n),this.strip()},s.prototype.iadd=function(t){var e,r,n;if(0!==this.negative&&0===t.negative)return this.negative=0,e=this.isub(t),this.negative^=1,this._normSign();if(0===this.negative&&0!==t.negative)return t.negative=0,e=this.isub(t),t.negative=1,e._normSign();this.length>t.length?(r=this,n=t):(r=t,n=this);for(var i=0,o=0;o<n.length;o++)e=(0|r.words[o])+(0|n.words[o])+i,this.words[o]=67108863&e,i=e>>>26;for(;0!==i&&o<r.length;o++)e=(0|r.words[o])+i,this.words[o]=67108863&e,i=e>>>26;if(this.length=r.length,0!==i)this.words[this.length]=i,this.length++;else if(r!==this)for(;o<r.length;o++)this.words[o]=r.words[o];return this},s.prototype.add=function(t){var e;return 0!==t.negative&&0===this.negative?(t.negative=0,e=this.sub(t),t.negative^=1,e):0===t.negative&&0!==this.negative?(this.negative=0,e=t.sub(this),this.negative=1,e):this.length>t.length?this.clone().iadd(t):t.clone().iadd(this)},s.prototype.isub=function(t){if(0!==t.negative){t.negative=0;var e=this.iadd(t);return t.negative=1,e._normSign()}if(0!==this.negative)return this.negative=0,this.iadd(t),this.negative=1,this._normSign();var r,n,i=this.cmp(t);if(0===i)return this.negative=0,this.length=1,this.words[0]=0,this;i>0?(r=this,n=t):(r=t,n=this);for(var o=0,s=0;s<n.length;s++)o=(e=(0|r.words[s])-(0|n.words[s])+o)>>26,this.words[s]=67108863&e;for(;0!==o&&s<r.length;s++)o=(e=(0|r.words[s])+o)>>26,this.words[s]=67108863&e;if(0===o&&s<r.length&&r!==this)for(;s<r.length;s++)this.words[s]=r.words[s];return this.length=Math.max(this.length,s),r!==this&&(this.negative=1),this.strip()},s.prototype.sub=function(t){return this.clone().isub(t)};var y=function(t,e,r){var n,i,o,s=t.words,a=e.words,u=r.words,h=0,f=0|s[0],c=8191&f,l=f>>>13,d=0|s[1],p=8191&d,y=d>>>13,m=0|s[2],b=8191&m,v=m>>>13,g=0|s[3],w=8191&g,_=g>>>13,M=0|s[4],S=8191&M,O=M>>>13,A=0|s[5],E=8191&A,x=A>>>13,k=0|s[6],j=8191&k,$=k>>>13,P=0|s[7],R=8191&P,B=P>>>13,T=0|s[8],I=8191&T,N=T>>>13,D=0|s[9],C=8191&D,L=D>>>13,q=0|a[0],U=8191&q,F=q>>>13,z=0|a[1],V=8191&z,K=z>>>13,H=0|a[2],Z=8191&H,W=H>>>13,J=0|a[3],Y=8191&J,Q=J>>>13,G=0|a[4],X=8191&G,tt=G>>>13,et=0|a[5],rt=8191&et,nt=et>>>13,it=0|a[6],ot=8191&it,st=it>>>13,at=0|a[7],ut=8191&at,ht=at>>>13,ft=0|a[8],ct=8191&ft,lt=ft>>>13,dt=0|a[9],pt=8191&dt,yt=dt>>>13;r.negative=t.negative^e.negative,r.length=19;var mt=(h+(n=Math.imul(c,U))|0)+((8191&(i=(i=Math.imul(c,F))+Math.imul(l,U)|0))<<13)|0;h=((o=Math.imul(l,F))+(i>>>13)|0)+(mt>>>26)|0,mt&=67108863,n=Math.imul(p,U),i=(i=Math.imul(p,F))+Math.imul(y,U)|0,o=Math.imul(y,F);var bt=(h+(n=n+Math.imul(c,V)|0)|0)+((8191&(i=(i=i+Math.imul(c,K)|0)+Math.imul(l,V)|0))<<13)|0;h=((o=o+Math.imul(l,K)|0)+(i>>>13)|0)+(bt>>>26)|0,bt&=67108863,n=Math.imul(b,U),i=(i=Math.imul(b,F))+Math.imul(v,U)|0,o=Math.imul(v,F),n=n+Math.imul(p,V)|0,i=(i=i+Math.imul(p,K)|0)+Math.imul(y,V)|0,o=o+Math.imul(y,K)|0;var vt=(h+(n=n+Math.imul(c,Z)|0)|0)+((8191&(i=(i=i+Math.imul(c,W)|0)+Math.imul(l,Z)|0))<<13)|0;h=((o=o+Math.imul(l,W)|0)+(i>>>13)|0)+(vt>>>26)|0,vt&=67108863,n=Math.imul(w,U),i=(i=Math.imul(w,F))+Math.imul(_,U)|0,o=Math.imul(_,F),n=n+Math.imul(b,V)|0,i=(i=i+Math.imul(b,K)|0)+Math.imul(v,V)|0,o=o+Math.imul(v,K)|0,n=n+Math.imul(p,Z)|0,i=(i=i+Math.imul(p,W)|0)+Math.imul(y,Z)|0,o=o+Math.imul(y,W)|0;var gt=(h+(n=n+Math.imul(c,Y)|0)|0)+((8191&(i=(i=i+Math.imul(c,Q)|0)+Math.imul(l,Y)|0))<<13)|0;h=((o=o+Math.imul(l,Q)|0)+(i>>>13)|0)+(gt>>>26)|0,gt&=67108863,n=Math.imul(S,U),i=(i=Math.imul(S,F))+Math.imul(O,U)|0,o=Math.imul(O,F),n=n+Math.imul(w,V)|0,i=(i=i+Math.imul(w,K)|0)+Math.imul(_,V)|0,o=o+Math.imul(_,K)|0,n=n+Math.imul(b,Z)|0,i=(i=i+Math.imul(b,W)|0)+Math.imul(v,Z)|0,o=o+Math.imul(v,W)|0,n=n+Math.imul(p,Y)|0,i=(i=i+Math.imul(p,Q)|0)+Math.imul(y,Y)|0,o=o+Math.imul(y,Q)|0;var wt=(h+(n=n+Math.imul(c,X)|0)|0)+((8191&(i=(i=i+Math.imul(c,tt)|0)+Math.imul(l,X)|0))<<13)|0;h=((o=o+Math.imul(l,tt)|0)+(i>>>13)|0)+(wt>>>26)|0,wt&=67108863,n=Math.imul(E,U),i=(i=Math.imul(E,F))+Math.imul(x,U)|0,o=Math.imul(x,F),n=n+Math.imul(S,V)|0,i=(i=i+Math.imul(S,K)|0)+Math.imul(O,V)|0,o=o+Math.imul(O,K)|0,n=n+Math.imul(w,Z)|0,i=(i=i+Math.imul(w,W)|0)+Math.imul(_,Z)|0,o=o+Math.imul(_,W)|0,n=n+Math.imul(b,Y)|0,i=(i=i+Math.imul(b,Q)|0)+Math.imul(v,Y)|0,o=o+Math.imul(v,Q)|0,n=n+Math.imul(p,X)|0,i=(i=i+Math.imul(p,tt)|0)+Math.imul(y,X)|0,o=o+Math.imul(y,tt)|0;var _t=(h+(n=n+Math.imul(c,rt)|0)|0)+((8191&(i=(i=i+Math.imul(c,nt)|0)+Math.imul(l,rt)|0))<<13)|0;h=((o=o+Math.imul(l,nt)|0)+(i>>>13)|0)+(_t>>>26)|0,_t&=67108863,n=Math.imul(j,U),i=(i=Math.imul(j,F))+Math.imul($,U)|0,o=Math.imul($,F),n=n+Math.imul(E,V)|0,i=(i=i+Math.imul(E,K)|0)+Math.imul(x,V)|0,o=o+Math.imul(x,K)|0,n=n+Math.imul(S,Z)|0,i=(i=i+Math.imul(S,W)|0)+Math.imul(O,Z)|0,o=o+Math.imul(O,W)|0,n=n+Math.imul(w,Y)|0,i=(i=i+Math.imul(w,Q)|0)+Math.imul(_,Y)|0,o=o+Math.imul(_,Q)|0,n=n+Math.imul(b,X)|0,i=(i=i+Math.imul(b,tt)|0)+Math.imul(v,X)|0,o=o+Math.imul(v,tt)|0,n=n+Math.imul(p,rt)|0,i=(i=i+Math.imul(p,nt)|0)+Math.imul(y,rt)|0,o=o+Math.imul(y,nt)|0;var Mt=(h+(n=n+Math.imul(c,ot)|0)|0)+((8191&(i=(i=i+Math.imul(c,st)|0)+Math.imul(l,ot)|0))<<13)|0;h=((o=o+Math.imul(l,st)|0)+(i>>>13)|0)+(Mt>>>26)|0,Mt&=67108863,n=Math.imul(R,U),i=(i=Math.imul(R,F))+Math.imul(B,U)|0,o=Math.imul(B,F),n=n+Math.imul(j,V)|0,i=(i=i+Math.imul(j,K)|0)+Math.imul($,V)|0,o=o+Math.imul($,K)|0,n=n+Math.imul(E,Z)|0,i=(i=i+Math.imul(E,W)|0)+Math.imul(x,Z)|0,o=o+Math.imul(x,W)|0,n=n+Math.imul(S,Y)|0,i=(i=i+Math.imul(S,Q)|0)+Math.imul(O,Y)|0,o=o+Math.imul(O,Q)|0,n=n+Math.imul(w,X)|0,i=(i=i+Math.imul(w,tt)|0)+Math.imul(_,X)|0,o=o+Math.imul(_,tt)|0,n=n+Math.imul(b,rt)|0,i=(i=i+Math.imul(b,nt)|0)+Math.imul(v,rt)|0,o=o+Math.imul(v,nt)|0,n=n+Math.imul(p,ot)|0,i=(i=i+Math.imul(p,st)|0)+Math.imul(y,ot)|0,o=o+Math.imul(y,st)|0;var St=(h+(n=n+Math.imul(c,ut)|0)|0)+((8191&(i=(i=i+Math.imul(c,ht)|0)+Math.imul(l,ut)|0))<<13)|0;h=((o=o+Math.imul(l,ht)|0)+(i>>>13)|0)+(St>>>26)|0,St&=67108863,n=Math.imul(I,U),i=(i=Math.imul(I,F))+Math.imul(N,U)|0,o=Math.imul(N,F),n=n+Math.imul(R,V)|0,i=(i=i+Math.imul(R,K)|0)+Math.imul(B,V)|0,o=o+Math.imul(B,K)|0,n=n+Math.imul(j,Z)|0,i=(i=i+Math.imul(j,W)|0)+Math.imul($,Z)|0,o=o+Math.imul($,W)|0,n=n+Math.imul(E,Y)|0,i=(i=i+Math.imul(E,Q)|0)+Math.imul(x,Y)|0,o=o+Math.imul(x,Q)|0,n=n+Math.imul(S,X)|0,i=(i=i+Math.imul(S,tt)|0)+Math.imul(O,X)|0,o=o+Math.imul(O,tt)|0,n=n+Math.imul(w,rt)|0,i=(i=i+Math.imul(w,nt)|0)+Math.imul(_,rt)|0,o=o+Math.imul(_,nt)|0,n=n+Math.imul(b,ot)|0,i=(i=i+Math.imul(b,st)|0)+Math.imul(v,ot)|0,o=o+Math.imul(v,st)|0,n=n+Math.imul(p,ut)|0,i=(i=i+Math.imul(p,ht)|0)+Math.imul(y,ut)|0,o=o+Math.imul(y,ht)|0;var Ot=(h+(n=n+Math.imul(c,ct)|0)|0)+((8191&(i=(i=i+Math.imul(c,lt)|0)+Math.imul(l,ct)|0))<<13)|0;h=((o=o+Math.imul(l,lt)|0)+(i>>>13)|0)+(Ot>>>26)|0,Ot&=67108863,n=Math.imul(C,U),i=(i=Math.imul(C,F))+Math.imul(L,U)|0,o=Math.imul(L,F),n=n+Math.imul(I,V)|0,i=(i=i+Math.imul(I,K)|0)+Math.imul(N,V)|0,o=o+Math.imul(N,K)|0,n=n+Math.imul(R,Z)|0,i=(i=i+Math.imul(R,W)|0)+Math.imul(B,Z)|0,o=o+Math.imul(B,W)|0,n=n+Math.imul(j,Y)|0,i=(i=i+Math.imul(j,Q)|0)+Math.imul($,Y)|0,o=o+Math.imul($,Q)|0,n=n+Math.imul(E,X)|0,i=(i=i+Math.imul(E,tt)|0)+Math.imul(x,X)|0,o=o+Math.imul(x,tt)|0,n=n+Math.imul(S,rt)|0,i=(i=i+Math.imul(S,nt)|0)+Math.imul(O,rt)|0,o=o+Math.imul(O,nt)|0,n=n+Math.imul(w,ot)|0,i=(i=i+Math.imul(w,st)|0)+Math.imul(_,ot)|0,o=o+Math.imul(_,st)|0,n=n+Math.imul(b,ut)|0,i=(i=i+Math.imul(b,ht)|0)+Math.imul(v,ut)|0,o=o+Math.imul(v,ht)|0,n=n+Math.imul(p,ct)|0,i=(i=i+Math.imul(p,lt)|0)+Math.imul(y,ct)|0,o=o+Math.imul(y,lt)|0;var At=(h+(n=n+Math.imul(c,pt)|0)|0)+((8191&(i=(i=i+Math.imul(c,yt)|0)+Math.imul(l,pt)|0))<<13)|0;h=((o=o+Math.imul(l,yt)|0)+(i>>>13)|0)+(At>>>26)|0,At&=67108863,n=Math.imul(C,V),i=(i=Math.imul(C,K))+Math.imul(L,V)|0,o=Math.imul(L,K),n=n+Math.imul(I,Z)|0,i=(i=i+Math.imul(I,W)|0)+Math.imul(N,Z)|0,o=o+Math.imul(N,W)|0,n=n+Math.imul(R,Y)|0,i=(i=i+Math.imul(R,Q)|0)+Math.imul(B,Y)|0,o=o+Math.imul(B,Q)|0,n=n+Math.imul(j,X)|0,i=(i=i+Math.imul(j,tt)|0)+Math.imul($,X)|0,o=o+Math.imul($,tt)|0,n=n+Math.imul(E,rt)|0,i=(i=i+Math.imul(E,nt)|0)+Math.imul(x,rt)|0,o=o+Math.imul(x,nt)|0,n=n+Math.imul(S,ot)|0,i=(i=i+Math.imul(S,st)|0)+Math.imul(O,ot)|0,o=o+Math.imul(O,st)|0,n=n+Math.imul(w,ut)|0,i=(i=i+Math.imul(w,ht)|0)+Math.imul(_,ut)|0,o=o+Math.imul(_,ht)|0,n=n+Math.imul(b,ct)|0,i=(i=i+Math.imul(b,lt)|0)+Math.imul(v,ct)|0,o=o+Math.imul(v,lt)|0;var Et=(h+(n=n+Math.imul(p,pt)|0)|0)+((8191&(i=(i=i+Math.imul(p,yt)|0)+Math.imul(y,pt)|0))<<13)|0;h=((o=o+Math.imul(y,yt)|0)+(i>>>13)|0)+(Et>>>26)|0,Et&=67108863,n=Math.imul(C,Z),i=(i=Math.imul(C,W))+Math.imul(L,Z)|0,o=Math.imul(L,W),n=n+Math.imul(I,Y)|0,i=(i=i+Math.imul(I,Q)|0)+Math.imul(N,Y)|0,o=o+Math.imul(N,Q)|0,n=n+Math.imul(R,X)|0,i=(i=i+Math.imul(R,tt)|0)+Math.imul(B,X)|0,o=o+Math.imul(B,tt)|0,n=n+Math.imul(j,rt)|0,i=(i=i+Math.imul(j,nt)|0)+Math.imul($,rt)|0,o=o+Math.imul($,nt)|0,n=n+Math.imul(E,ot)|0,i=(i=i+Math.imul(E,st)|0)+Math.imul(x,ot)|0,o=o+Math.imul(x,st)|0,n=n+Math.imul(S,ut)|0,i=(i=i+Math.imul(S,ht)|0)+Math.imul(O,ut)|0,o=o+Math.imul(O,ht)|0,n=n+Math.imul(w,ct)|0,i=(i=i+Math.imul(w,lt)|0)+Math.imul(_,ct)|0,o=o+Math.imul(_,lt)|0;var xt=(h+(n=n+Math.imul(b,pt)|0)|0)+((8191&(i=(i=i+Math.imul(b,yt)|0)+Math.imul(v,pt)|0))<<13)|0;h=((o=o+Math.imul(v,yt)|0)+(i>>>13)|0)+(xt>>>26)|0,xt&=67108863,n=Math.imul(C,Y),i=(i=Math.imul(C,Q))+Math.imul(L,Y)|0,o=Math.imul(L,Q),n=n+Math.imul(I,X)|0,i=(i=i+Math.imul(I,tt)|0)+Math.imul(N,X)|0,o=o+Math.imul(N,tt)|0,n=n+Math.imul(R,rt)|0,i=(i=i+Math.imul(R,nt)|0)+Math.imul(B,rt)|0,o=o+Math.imul(B,nt)|0,n=n+Math.imul(j,ot)|0,i=(i=i+Math.imul(j,st)|0)+Math.imul($,ot)|0,o=o+Math.imul($,st)|0,n=n+Math.imul(E,ut)|0,i=(i=i+Math.imul(E,ht)|0)+Math.imul(x,ut)|0,o=o+Math.imul(x,ht)|0,n=n+Math.imul(S,ct)|0,i=(i=i+Math.imul(S,lt)|0)+Math.imul(O,ct)|0,o=o+Math.imul(O,lt)|0;var kt=(h+(n=n+Math.imul(w,pt)|0)|0)+((8191&(i=(i=i+Math.imul(w,yt)|0)+Math.imul(_,pt)|0))<<13)|0;h=((o=o+Math.imul(_,yt)|0)+(i>>>13)|0)+(kt>>>26)|0,kt&=67108863,n=Math.imul(C,X),i=(i=Math.imul(C,tt))+Math.imul(L,X)|0,o=Math.imul(L,tt),n=n+Math.imul(I,rt)|0,i=(i=i+Math.imul(I,nt)|0)+Math.imul(N,rt)|0,o=o+Math.imul(N,nt)|0,n=n+Math.imul(R,ot)|0,i=(i=i+Math.imul(R,st)|0)+Math.imul(B,ot)|0,o=o+Math.imul(B,st)|0,n=n+Math.imul(j,ut)|0,i=(i=i+Math.imul(j,ht)|0)+Math.imul($,ut)|0,o=o+Math.imul($,ht)|0,n=n+Math.imul(E,ct)|0,i=(i=i+Math.imul(E,lt)|0)+Math.imul(x,ct)|0,o=o+Math.imul(x,lt)|0;var jt=(h+(n=n+Math.imul(S,pt)|0)|0)+((8191&(i=(i=i+Math.imul(S,yt)|0)+Math.imul(O,pt)|0))<<13)|0;h=((o=o+Math.imul(O,yt)|0)+(i>>>13)|0)+(jt>>>26)|0,jt&=67108863,n=Math.imul(C,rt),i=(i=Math.imul(C,nt))+Math.imul(L,rt)|0,o=Math.imul(L,nt),n=n+Math.imul(I,ot)|0,i=(i=i+Math.imul(I,st)|0)+Math.imul(N,ot)|0,o=o+Math.imul(N,st)|0,n=n+Math.imul(R,ut)|0,i=(i=i+Math.imul(R,ht)|0)+Math.imul(B,ut)|0,o=o+Math.imul(B,ht)|0,n=n+Math.imul(j,ct)|0,i=(i=i+Math.imul(j,lt)|0)+Math.imul($,ct)|0,o=o+Math.imul($,lt)|0;var $t=(h+(n=n+Math.imul(E,pt)|0)|0)+((8191&(i=(i=i+Math.imul(E,yt)|0)+Math.imul(x,pt)|0))<<13)|0;h=((o=o+Math.imul(x,yt)|0)+(i>>>13)|0)+($t>>>26)|0,$t&=67108863,n=Math.imul(C,ot),i=(i=Math.imul(C,st))+Math.imul(L,ot)|0,o=Math.imul(L,st),n=n+Math.imul(I,ut)|0,i=(i=i+Math.imul(I,ht)|0)+Math.imul(N,ut)|0,o=o+Math.imul(N,ht)|0,n=n+Math.imul(R,ct)|0,i=(i=i+Math.imul(R,lt)|0)+Math.imul(B,ct)|0,o=o+Math.imul(B,lt)|0;var Pt=(h+(n=n+Math.imul(j,pt)|0)|0)+((8191&(i=(i=i+Math.imul(j,yt)|0)+Math.imul($,pt)|0))<<13)|0;h=((o=o+Math.imul($,yt)|0)+(i>>>13)|0)+(Pt>>>26)|0,Pt&=67108863,n=Math.imul(C,ut),i=(i=Math.imul(C,ht))+Math.imul(L,ut)|0,o=Math.imul(L,ht),n=n+Math.imul(I,ct)|0,i=(i=i+Math.imul(I,lt)|0)+Math.imul(N,ct)|0,o=o+Math.imul(N,lt)|0;var Rt=(h+(n=n+Math.imul(R,pt)|0)|0)+((8191&(i=(i=i+Math.imul(R,yt)|0)+Math.imul(B,pt)|0))<<13)|0;h=((o=o+Math.imul(B,yt)|0)+(i>>>13)|0)+(Rt>>>26)|0,Rt&=67108863,n=Math.imul(C,ct),i=(i=Math.imul(C,lt))+Math.imul(L,ct)|0,o=Math.imul(L,lt);var Bt=(h+(n=n+Math.imul(I,pt)|0)|0)+((8191&(i=(i=i+Math.imul(I,yt)|0)+Math.imul(N,pt)|0))<<13)|0;h=((o=o+Math.imul(N,yt)|0)+(i>>>13)|0)+(Bt>>>26)|0,Bt&=67108863;var Tt=(h+(n=Math.imul(C,pt))|0)+((8191&(i=(i=Math.imul(C,yt))+Math.imul(L,pt)|0))<<13)|0;return h=((o=Math.imul(L,yt))+(i>>>13)|0)+(Tt>>>26)|0,Tt&=67108863,u[0]=mt,u[1]=bt,u[2]=vt,u[3]=gt,u[4]=wt,u[5]=_t,u[6]=Mt,u[7]=St,u[8]=Ot,u[9]=At,u[10]=Et,u[11]=xt,u[12]=kt,u[13]=jt,u[14]=$t,u[15]=Pt,u[16]=Rt,u[17]=Bt,u[18]=Tt,0!==h&&(u[19]=h,r.length++),r};function m(t,e,r){return(new b).mulp(t,e,r)}function b(t,e){this.x=t,this.y=e}Math.imul||(y=p),s.prototype.mulTo=function(t,e){var r=this.length+t.length;return 10===this.length&&10===t.length?y(this,t,e):r<63?p(this,t,e):r<1024?function(t,e,r){r.negative=e.negative^t.negative,r.length=t.length+e.length;for(var n=0,i=0,o=0;o<r.length-1;o++){var s=i;i=0;for(var a=67108863&n,u=Math.min(o,e.length-1),h=Math.max(0,o-t.length+1);h<=u;h++){var f=o-h,c=(0|t.words[f])*(0|e.words[h]),l=67108863&c;a=67108863&(l=l+a|0),i+=(s=(s=s+(c/67108864|0)|0)+(l>>>26)|0)>>>26,s&=67108863}r.words[o]=a,n=s,s=i}return 0!==n?r.words[o]=n:r.length--,r.strip()}(this,t,e):m(this,t,e)},b.prototype.makeRBT=function(t){for(var e=new Array(t),r=s.prototype._countBits(t)-1,n=0;n<t;n++)e[n]=this.revBin(n,r,t);return e},b.prototype.revBin=function(t,e,r){if(0===t||t===r-1)return t;for(var n=0,i=0;i<e;i++)n|=(1&t)<<e-i-1,t>>=1;return n},b.prototype.permute=function(t,e,r,n,i,o){for(var s=0;s<o;s++)n[s]=e[t[s]],i[s]=r[t[s]]},b.prototype.transform=function(t,e,r,n,i,o){this.permute(o,t,e,r,n,i);for(var s=1;s<i;s<<=1)for(var a=s<<1,u=Math.cos(2*Math.PI/a),h=Math.sin(2*Math.PI/a),f=0;f<i;f+=a)for(var c=u,l=h,d=0;d<s;d++){var p=r[f+d],y=n[f+d],m=r[f+d+s],b=n[f+d+s],v=c*m-l*b;b=c*b+l*m,m=v,r[f+d]=p+m,n[f+d]=y+b,r[f+d+s]=p-m,n[f+d+s]=y-b,d!==a&&(v=u*c-h*l,l=u*l+h*c,c=v)}},b.prototype.guessLen13b=function(t,e){var r=1|Math.max(e,t),n=1&r,i=0;for(r=r/2|0;r;r>>>=1)i++;return 1<<i+1+n},b.prototype.conjugate=function(t,e,r){if(!(r<=1))for(var n=0;n<r/2;n++){var i=t[n];t[n]=t[r-n-1],t[r-n-1]=i,i=e[n],e[n]=-e[r-n-1],e[r-n-1]=-i}},b.prototype.normalize13b=function(t,e){for(var r=0,n=0;n<e/2;n++){var i=8192*Math.round(t[2*n+1]/e)+Math.round(t[2*n]/e)+r;t[n]=67108863&i,r=i<67108864?0:i/67108864|0}return t},b.prototype.convert13b=function(t,e,r,n){for(var o=0,s=0;s<e;s++)o+=0|t[s],r[2*s]=8191&o,o>>>=13,r[2*s+1]=8191&o,o>>>=13;for(s=2*e;s<n;++s)r[s]=0;i(0===o),i(0==(-8192&o))},b.prototype.stub=function(t){for(var e=new Array(t),r=0;r<t;r++)e[r]=0;return e},b.prototype.mulp=function(t,e,r){var n=2*this.guessLen13b(t.length,e.length),i=this.makeRBT(n),o=this.stub(n),s=new Array(n),a=new Array(n),u=new Array(n),h=new Array(n),f=new Array(n),c=new Array(n),l=r.words;l.length=n,this.convert13b(t.words,t.length,s,n),this.convert13b(e.words,e.length,h,n),this.transform(s,o,a,u,n,i),this.transform(h,o,f,c,n,i);for(var d=0;d<n;d++){var p=a[d]*f[d]-u[d]*c[d];u[d]=a[d]*c[d]+u[d]*f[d],a[d]=p}return this.conjugate(a,u,n),this.transform(a,u,l,o,n,i),this.conjugate(l,o,n),this.normalize13b(l,n),r.negative=t.negative^e.negative,r.length=t.length+e.length,r.strip()},s.prototype.mul=function(t){var e=new s(null);return e.words=new Array(this.length+t.length),this.mulTo(t,e)},s.prototype.mulf=function(t){var e=new s(null);return e.words=new Array(this.length+t.length),m(this,t,e)},s.prototype.imul=function(t){return this.clone().mulTo(t,this)},s.prototype.imuln=function(t){i("number"==typeof t),i(t<67108864);for(var e=0,r=0;r<this.length;r++){var n=(0|this.words[r])*t,o=(67108863&n)+(67108863&e);e>>=26,e+=n/67108864|0,e+=o>>>26,this.words[r]=67108863&o}return 0!==e&&(this.words[r]=e,this.length++),this},s.prototype.muln=function(t){return this.clone().imuln(t)},s.prototype.sqr=function(){return this.mul(this)},s.prototype.isqr=function(){return this.imul(this.clone())},s.prototype.pow=function(t){var e=function(t){for(var e=new Array(t.bitLength()),r=0;r<e.length;r++){var n=r/26|0,i=r%26;e[r]=(t.words[n]&1<<i)>>>i}return e}(t);if(0===e.length)return new s(1);for(var r=this,n=0;n<e.length&&0===e[n];n++,r=r.sqr());if(++n<e.length)for(var i=r.sqr();n<e.length;n++,i=i.sqr())0!==e[n]&&(r=r.mul(i));return r},s.prototype.iushln=function(t){i("number"==typeof t&&t>=0);var e,r=t%26,n=(t-r)/26,o=67108863>>>26-r<<26-r;if(0!==r){var s=0;for(e=0;e<this.length;e++){var a=this.words[e]&o,u=(0|this.words[e])-a<<r;this.words[e]=u|s,s=a>>>26-r}s&&(this.words[e]=s,this.length++)}if(0!==n){for(e=this.length-1;e>=0;e--)this.words[e+n]=this.words[e];for(e=0;e<n;e++)this.words[e]=0;this.length+=n}return this.strip()},s.prototype.ishln=function(t){return i(0===this.negative),this.iushln(t)},s.prototype.iushrn=function(t,e,r){var n;i("number"==typeof t&&t>=0),n=e?(e-e%26)/26:0;var o=t%26,s=Math.min((t-o)/26,this.length),a=67108863^67108863>>>o<<o,u=r;if(n-=s,n=Math.max(0,n),u){for(var h=0;h<s;h++)u.words[h]=this.words[h];u.length=s}if(0===s);else if(this.length>s)for(this.length-=s,h=0;h<this.length;h++)this.words[h]=this.words[h+s];else this.words[0]=0,this.length=1;var f=0;for(h=this.length-1;h>=0&&(0!==f||h>=n);h--){var c=0|this.words[h];this.words[h]=f<<26-o|c>>>o,f=c&a}return u&&0!==f&&(u.words[u.length++]=f),0===this.length&&(this.words[0]=0,this.length=1),this.strip()},s.prototype.ishrn=function(t,e,r){return i(0===this.negative),this.iushrn(t,e,r)},s.prototype.shln=function(t){return this.clone().ishln(t)},s.prototype.ushln=function(t){return this.clone().iushln(t)},s.prototype.shrn=function(t){return this.clone().ishrn(t)},s.prototype.ushrn=function(t){return this.clone().iushrn(t)},s.prototype.testn=function(t){i("number"==typeof t&&t>=0);var e=t%26,r=(t-e)/26,n=1<<e;return!(this.length<=r)&&!!(this.words[r]&n)},s.prototype.imaskn=function(t){i("number"==typeof t&&t>=0);var e=t%26,r=(t-e)/26;if(i(0===this.negative,"imaskn works only with positive numbers"),this.length<=r)return this;if(0!==e&&r++,this.length=Math.min(r,this.length),0!==e){var n=67108863^67108863>>>e<<e;this.words[this.length-1]&=n}return this.strip()},s.prototype.maskn=function(t){return this.clone().imaskn(t)},s.prototype.iaddn=function(t){return i("number"==typeof t),i(t<67108864),t<0?this.isubn(-t):0!==this.negative?1===this.length&&(0|this.words[0])<t?(this.words[0]=t-(0|this.words[0]),this.negative=0,this):(this.negative=0,this.isubn(t),this.negative=1,this):this._iaddn(t)},s.prototype._iaddn=function(t){this.words[0]+=t;for(var e=0;e<this.length&&this.words[e]>=67108864;e++)this.words[e]-=67108864,e===this.length-1?this.words[e+1]=1:this.words[e+1]++;return this.length=Math.max(this.length,e+1),this},s.prototype.isubn=function(t){if(i("number"==typeof t),i(t<67108864),t<0)return this.iaddn(-t);if(0!==this.negative)return this.negative=0,this.iaddn(t),this.negative=1,this;if(this.words[0]-=t,1===this.length&&this.words[0]<0)this.words[0]=-this.words[0],this.negative=1;else for(var e=0;e<this.length&&this.words[e]<0;e++)this.words[e]+=67108864,this.words[e+1]-=1;return this.strip()},s.prototype.addn=function(t){return this.clone().iaddn(t)},s.prototype.subn=function(t){return this.clone().isubn(t)},s.prototype.iabs=function(){return this.negative=0,this},s.prototype.abs=function(){return this.clone().iabs()},s.prototype._ishlnsubmul=function(t,e,r){var n,o,s=t.length+r;this._expand(s);var a=0;for(n=0;n<t.length;n++){o=(0|this.words[n+r])+a;var u=(0|t.words[n])*e;a=((o-=67108863&u)>>26)-(u/67108864|0),this.words[n+r]=67108863&o}for(;n<this.length-r;n++)a=(o=(0|this.words[n+r])+a)>>26,this.words[n+r]=67108863&o;if(0===a)return this.strip();for(i(-1===a),a=0,n=0;n<this.length;n++)a=(o=-(0|this.words[n])+a)>>26,this.words[n]=67108863&o;return this.negative=1,this.strip()},s.prototype._wordDiv=function(t,e){var r=(this.length,t.length),n=this.clone(),i=t,o=0|i.words[i.length-1];0!==(r=26-this._countBits(o))&&(i=i.ushln(r),n.iushln(r),o=0|i.words[i.length-1]);var a,u=n.length-i.length;if("mod"!==e){(a=new s(null)).length=u+1,a.words=new Array(a.length);for(var h=0;h<a.length;h++)a.words[h]=0}var f=n.clone()._ishlnsubmul(i,1,u);0===f.negative&&(n=f,a&&(a.words[u]=1));for(var c=u-1;c>=0;c--){var l=67108864*(0|n.words[i.length+c])+(0|n.words[i.length+c-1]);for(l=Math.min(l/o|0,67108863),n._ishlnsubmul(i,l,c);0!==n.negative;)l--,n.negative=0,n._ishlnsubmul(i,1,c),n.isZero()||(n.negative^=1);a&&(a.words[c]=l)}return a&&a.strip(),n.strip(),"div"!==e&&0!==r&&n.iushrn(r),{div:a||null,mod:n}},s.prototype.divmod=function(t,e,r){return i(!t.isZero()),this.isZero()?{div:new s(0),mod:new s(0)}:0!==this.negative&&0===t.negative?(a=this.neg().divmod(t,e),"mod"!==e&&(n=a.div.neg()),"div"!==e&&(o=a.mod.neg(),r&&0!==o.negative&&o.iadd(t)),{div:n,mod:o}):0===this.negative&&0!==t.negative?(a=this.divmod(t.neg(),e),"mod"!==e&&(n=a.div.neg()),{div:n,mod:a.mod}):0!=(this.negative&t.negative)?(a=this.neg().divmod(t.neg(),e),"div"!==e&&(o=a.mod.neg(),r&&0!==o.negative&&o.isub(t)),{div:a.div,mod:o}):t.length>this.length||this.cmp(t)<0?{div:new s(0),mod:this}:1===t.length?"div"===e?{div:this.divn(t.words[0]),mod:null}:"mod"===e?{div:null,mod:new s(this.modn(t.words[0]))}:{div:this.divn(t.words[0]),mod:new s(this.modn(t.words[0]))}:this._wordDiv(t,e);var n,o,a},s.prototype.div=function(t){return this.divmod(t,"div",!1).div},s.prototype.mod=function(t){return this.divmod(t,"mod",!1).mod},s.prototype.umod=function(t){return this.divmod(t,"mod",!0).mod},s.prototype.divRound=function(t){var e=this.divmod(t);if(e.mod.isZero())return e.div;var r=0!==e.div.negative?e.mod.isub(t):e.mod,n=t.ushrn(1),i=t.andln(1),o=r.cmp(n);return o<0||1===i&&0===o?e.div:0!==e.div.negative?e.div.isubn(1):e.div.iaddn(1)},s.prototype.modn=function(t){i(t<=67108863);for(var e=(1<<26)%t,r=0,n=this.length-1;n>=0;n--)r=(e*r+(0|this.words[n]))%t;return r},s.prototype.idivn=function(t){i(t<=67108863);for(var e=0,r=this.length-1;r>=0;r--){var n=(0|this.words[r])+67108864*e;this.words[r]=n/t|0,e=n%t}return this.strip()},s.prototype.divn=function(t){return this.clone().idivn(t)},s.prototype.egcd=function(t){i(0===t.negative),i(!t.isZero());var e=this,r=t.clone();e=0!==e.negative?e.umod(t):e.clone();for(var n=new s(1),o=new s(0),a=new s(0),u=new s(1),h=0;e.isEven()&&r.isEven();)e.iushrn(1),r.iushrn(1),++h;for(var f=r.clone(),c=e.clone();!e.isZero();){for(var l=0,d=1;0==(e.words[0]&d)&&l<26;++l,d<<=1);if(l>0)for(e.iushrn(l);l-- >0;)(n.isOdd()||o.isOdd())&&(n.iadd(f),o.isub(c)),n.iushrn(1),o.iushrn(1);for(var p=0,y=1;0==(r.words[0]&y)&&p<26;++p,y<<=1);if(p>0)for(r.iushrn(p);p-- >0;)(a.isOdd()||u.isOdd())&&(a.iadd(f),u.isub(c)),a.iushrn(1),u.iushrn(1);e.cmp(r)>=0?(e.isub(r),n.isub(a),o.isub(u)):(r.isub(e),a.isub(n),u.isub(o))}return{a:a,b:u,gcd:r.iushln(h)}},s.prototype._invmp=function(t){i(0===t.negative),i(!t.isZero());var e=this,r=t.clone();e=0!==e.negative?e.umod(t):e.clone();for(var n,o=new s(1),a=new s(0),u=r.clone();e.cmpn(1)>0&&r.cmpn(1)>0;){for(var h=0,f=1;0==(e.words[0]&f)&&h<26;++h,f<<=1);if(h>0)for(e.iushrn(h);h-- >0;)o.isOdd()&&o.iadd(u),o.iushrn(1);for(var c=0,l=1;0==(r.words[0]&l)&&c<26;++c,l<<=1);if(c>0)for(r.iushrn(c);c-- >0;)a.isOdd()&&a.iadd(u),a.iushrn(1);e.cmp(r)>=0?(e.isub(r),o.isub(a)):(r.isub(e),a.isub(o))}return(n=0===e.cmpn(1)?o:a).cmpn(0)<0&&n.iadd(t),n},s.prototype.gcd=function(t){if(this.isZero())return t.abs();if(t.isZero())return this.abs();var e=this.clone(),r=t.clone();e.negative=0,r.negative=0;for(var n=0;e.isEven()&&r.isEven();n++)e.iushrn(1),r.iushrn(1);for(;;){for(;e.isEven();)e.iushrn(1);for(;r.isEven();)r.iushrn(1);var i=e.cmp(r);if(i<0){var o=e;e=r,r=o}else if(0===i||0===r.cmpn(1))break;e.isub(r)}return r.iushln(n)},s.prototype.invm=function(t){return this.egcd(t).a.umod(t)},s.prototype.isEven=function(){return 0==(1&this.words[0])},s.prototype.isOdd=function(){return 1==(1&this.words[0])},s.prototype.andln=function(t){return this.words[0]&t},s.prototype.bincn=function(t){i("number"==typeof t);var e=t%26,r=(t-e)/26,n=1<<e;if(this.length<=r)return this._expand(r+1),this.words[r]|=n,this;for(var o=n,s=r;0!==o&&s<this.length;s++){var a=0|this.words[s];o=(a+=o)>>>26,a&=67108863,this.words[s]=a}return 0!==o&&(this.words[s]=o,this.length++),this},s.prototype.isZero=function(){return 1===this.length&&0===this.words[0]},s.prototype.cmpn=function(t){var e,r=t<0;if(0!==this.negative&&!r)return-1;if(0===this.negative&&r)return 1;if(this.strip(),this.length>1)e=1;else{r&&(t=-t),i(t<=67108863,"Number is too big");var n=0|this.words[0];e=n===t?0:n<t?-1:1}return 0!==this.negative?0|-e:e},s.prototype.cmp=function(t){if(0!==this.negative&&0===t.negative)return-1;if(0===this.negative&&0!==t.negative)return 1;var e=this.ucmp(t);return 0!==this.negative?0|-e:e},s.prototype.ucmp=function(t){if(this.length>t.length)return 1;if(this.length<t.length)return-1;for(var e=0,r=this.length-1;r>=0;r--){var n=0|this.words[r],i=0|t.words[r];if(n!==i){n<i?e=-1:n>i&&(e=1);break}}return e},s.prototype.gtn=function(t){return 1===this.cmpn(t)},s.prototype.gt=function(t){return 1===this.cmp(t)},s.prototype.gten=function(t){return this.cmpn(t)>=0},s.prototype.gte=function(t){return this.cmp(t)>=0},s.prototype.ltn=function(t){return-1===this.cmpn(t)},s.prototype.lt=function(t){return-1===this.cmp(t)},s.prototype.lten=function(t){return this.cmpn(t)<=0},s.prototype.lte=function(t){return this.cmp(t)<=0},s.prototype.eqn=function(t){return 0===this.cmpn(t)},s.prototype.eq=function(t){return 0===this.cmp(t)},s.red=function(t){return new O(t)},s.prototype.toRed=function(t){return i(!this.red,"Already a number in reduction context"),i(0===this.negative,"red works only with positives"),t.convertTo(this)._forceRed(t)},s.prototype.fromRed=function(){return i(this.red,"fromRed works only with numbers in reduction context"),this.red.convertFrom(this)},s.prototype._forceRed=function(t){return this.red=t,this},s.prototype.forceRed=function(t){return i(!this.red,"Already a number in reduction context"),this._forceRed(t)},s.prototype.redAdd=function(t){return i(this.red,"redAdd works only with red numbers"),this.red.add(this,t)},s.prototype.redIAdd=function(t){return i(this.red,"redIAdd works only with red numbers"),this.red.iadd(this,t)},s.prototype.redSub=function(t){return i(this.red,"redSub works only with red numbers"),this.red.sub(this,t)},s.prototype.redISub=function(t){return i(this.red,"redISub works only with red numbers"),this.red.isub(this,t)},s.prototype.redShl=function(t){return i(this.red,"redShl works only with red numbers"),this.red.shl(this,t)},s.prototype.redMul=function(t){return i(this.red,"redMul works only with red numbers"),this.red._verify2(this,t),this.red.mul(this,t)},s.prototype.redIMul=function(t){return i(this.red,"redMul works only with red numbers"),this.red._verify2(this,t),this.red.imul(this,t)},s.prototype.redSqr=function(){return i(this.red,"redSqr works only with red numbers"),this.red._verify1(this),this.red.sqr(this)},s.prototype.redISqr=function(){return i(this.red,"redISqr works only with red numbers"),this.red._verify1(this),this.red.isqr(this)},s.prototype.redSqrt=function(){return i(this.red,"redSqrt works only with red numbers"),this.red._verify1(this),this.red.sqrt(this)},s.prototype.redInvm=function(){return i(this.red,"redInvm works only with red numbers"),this.red._verify1(this),this.red.invm(this)},s.prototype.redNeg=function(){return i(this.red,"redNeg works only with red numbers"),this.red._verify1(this),this.red.neg(this)},s.prototype.redPow=function(t){return i(this.red&&!t.red,"redPow(normalNum)"),this.red._verify1(this),this.red.pow(this,t)};var v={k256:null,p224:null,p192:null,p25519:null};function g(t,e){this.name=t,this.p=new s(e,16),this.n=this.p.bitLength(),this.k=new s(1).iushln(this.n).isub(this.p),this.tmp=this._tmp()}function w(){g.call(this,"k256","ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f")}function _(){g.call(this,"p224","ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001")}function M(){g.call(this,"p192","ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff")}function S(){g.call(this,"25519","7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed")}function O(t){if("string"==typeof t){var e=s._prime(t);this.m=e.p,this.prime=e}else i(t.gtn(1),"modulus must be greater than 1"),this.m=t,this.prime=null}function A(t){O.call(this,t),this.shift=this.m.bitLength(),this.shift%26!=0&&(this.shift+=26-this.shift%26),this.r=new s(1).iushln(this.shift),this.r2=this.imod(this.r.sqr()),this.rinv=this.r._invmp(this.m),this.minv=this.rinv.mul(this.r).isubn(1).div(this.m),this.minv=this.minv.umod(this.r),this.minv=this.r.sub(this.minv)}g.prototype._tmp=function(){var t=new s(null);return t.words=new Array(Math.ceil(this.n/13)),t},g.prototype.ireduce=function(t){var e,r=t;do{this.split(r,this.tmp),e=(r=(r=this.imulK(r)).iadd(this.tmp)).bitLength()}while(e>this.n);var n=e<this.n?-1:r.ucmp(this.p);return 0===n?(r.words[0]=0,r.length=1):n>0?r.isub(this.p):void 0!==r.strip?r.strip():r._strip(),r},g.prototype.split=function(t,e){t.iushrn(this.n,0,e)},g.prototype.imulK=function(t){return t.imul(this.k)},o(w,g),w.prototype.split=function(t,e){for(var r=Math.min(t.length,9),n=0;n<r;n++)e.words[n]=t.words[n];if(e.length=r,t.length<=9)return t.words[0]=0,void(t.length=1);var i=t.words[9];for(e.words[e.length++]=4194303&i,n=10;n<t.length;n++){var o=0|t.words[n];t.words[n-10]=(4194303&o)<<4|i>>>22,i=o}i>>>=22,t.words[n-10]=i,0===i&&t.length>10?t.length-=10:t.length-=9},w.prototype.imulK=function(t){t.words[t.length]=0,t.words[t.length+1]=0,t.length+=2;for(var e=0,r=0;r<t.length;r++){var n=0|t.words[r];e+=977*n,t.words[r]=67108863&e,e=64*n+(e/67108864|0)}return 0===t.words[t.length-1]&&(t.length--,0===t.words[t.length-1]&&t.length--),t},o(_,g),o(M,g),o(S,g),S.prototype.imulK=function(t){for(var e=0,r=0;r<t.length;r++){var n=19*(0|t.words[r])+e,i=67108863&n;n>>>=26,t.words[r]=i,e=n}return 0!==e&&(t.words[t.length++]=e),t},s._prime=function(t){if(v[t])return v[t];var e;if("k256"===t)e=new w;else if("p224"===t)e=new _;else if("p192"===t)e=new M;else{if("p25519"!==t)throw new Error("Unknown prime "+t);e=new S}return v[t]=e,e},O.prototype._verify1=function(t){i(0===t.negative,"red works only with positives"),i(t.red,"red works only with red numbers")},O.prototype._verify2=function(t,e){i(0==(t.negative|e.negative),"red works only with positives"),i(t.red&&t.red===e.red,"red works only with red numbers")},O.prototype.imod=function(t){return this.prime?this.prime.ireduce(t)._forceRed(this):t.umod(this.m)._forceRed(this)},O.prototype.neg=function(t){return t.isZero()?t.clone():this.m.sub(t)._forceRed(this)},O.prototype.add=function(t,e){this._verify2(t,e);var r=t.add(e);return r.cmp(this.m)>=0&&r.isub(this.m),r._forceRed(this)},O.prototype.iadd=function(t,e){this._verify2(t,e);var r=t.iadd(e);return r.cmp(this.m)>=0&&r.isub(this.m),r},O.prototype.sub=function(t,e){this._verify2(t,e);var r=t.sub(e);return r.cmpn(0)<0&&r.iadd(this.m),r._forceRed(this)},O.prototype.isub=function(t,e){this._verify2(t,e);var r=t.isub(e);return r.cmpn(0)<0&&r.iadd(this.m),r},O.prototype.shl=function(t,e){return this._verify1(t),this.imod(t.ushln(e))},O.prototype.imul=function(t,e){return this._verify2(t,e),this.imod(t.imul(e))},O.prototype.mul=function(t,e){return this._verify2(t,e),this.imod(t.mul(e))},O.prototype.isqr=function(t){return this.imul(t,t.clone())},O.prototype.sqr=function(t){return this.mul(t,t)},O.prototype.sqrt=function(t){if(t.isZero())return t.clone();var e=this.m.andln(3);if(i(e%2==1),3===e){var r=this.m.add(new s(1)).iushrn(2);return this.pow(t,r)}for(var n=this.m.subn(1),o=0;!n.isZero()&&0===n.andln(1);)o++,n.iushrn(1);i(!n.isZero());var a=new s(1).toRed(this),u=a.redNeg(),h=this.m.subn(1).iushrn(1),f=this.m.bitLength();for(f=new s(2*f*f).toRed(this);0!==this.pow(f,h).cmp(u);)f.redIAdd(u);for(var c=this.pow(f,n),l=this.pow(t,n.addn(1).iushrn(1)),d=this.pow(t,n),p=o;0!==d.cmp(a);){for(var y=d,m=0;0!==y.cmp(a);m++)y=y.redSqr();i(m<p);var b=this.pow(c,new s(1).iushln(p-m-1));l=l.redMul(b),c=b.redSqr(),d=d.redMul(c),p=m}return l},O.prototype.invm=function(t){var e=t._invmp(this.m);return 0!==e.negative?(e.negative=0,this.imod(e).redNeg()):this.imod(e)},O.prototype.pow=function(t,e){if(e.isZero())return new s(1).toRed(this);if(0===e.cmpn(1))return t.clone();var r=new Array(16);r[0]=new s(1).toRed(this),r[1]=t;for(var n=2;n<r.length;n++)r[n]=this.mul(r[n-1],t);var i=r[0],o=0,a=0,u=e.bitLength()%26;for(0===u&&(u=26),n=e.length-1;n>=0;n--){for(var h=e.words[n],f=u-1;f>=0;f--){var c=h>>f&1;i!==r[0]&&(i=this.sqr(i)),0!==c||0!==o?(o<<=1,o|=c,(4===++a||0===n&&0===f)&&(i=this.mul(i,r[o]),a=0,o=0)):a=0}u=26}return i},O.prototype.convertTo=function(t){var e=t.umod(this.m);return e===t?e.clone():e},O.prototype.convertFrom=function(t){var e=t.clone();return e.red=null,e},s.mont=function(t){return new A(t)},o(A,O),A.prototype.convertTo=function(t){return this.imod(t.ushln(this.shift))},A.prototype.convertFrom=function(t){var e=this.imod(t.mul(this.rinv));return e.red=null,e},A.prototype.imul=function(t,e){if(t.isZero()||e.isZero())return t.words[0]=0,t.length=1,t;var r=t.imul(e),n=r.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),i=r.isub(n).iushrn(this.shift),o=i;return i.cmp(this.m)>=0?o=i.isub(this.m):i.cmpn(0)<0&&(o=i.iadd(this.m)),o._forceRed(this)},A.prototype.mul=function(t,e){if(t.isZero()||e.isZero())return new s(0)._forceRed(this);var r=t.mul(e),n=r.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),i=r.isub(n).iushrn(this.shift),o=i;return i.cmp(this.m)>=0?o=i.isub(this.m):i.cmpn(0)<0&&(o=i.iadd(this.m)),o._forceRed(this)},A.prototype.invm=function(t){return 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run lint -- --fix","test":"npm run lint && npm run unit","unit":"istanbul test _mocha --reporter=spec test/index.js","version":"grunt dist && git add dist/"},"version":"6.5.4"}')},function(t,e){},function(t,e,r){"use strict";var n=r(11),i=r(21),o=r(0),s=r(50),a=n.assert;function u(t){s.call(this,"short",t),this.a=new i(t.a,16).toRed(this.red),this.b=new i(t.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(t),this._endoWnafT1=new Array(4),this._endoWnafT2=new Array(4)}function h(t,e,r,n){s.BasePoint.call(this,t,"affine"),null===e&&null===r?(this.x=null,this.y=null,this.inf=!0):(this.x=new i(e,16),this.y=new i(r,16),n&&(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(t,e,r,n){s.BasePoint.call(this,t,"jacobian"),null===e&&null===r&&null===n?(this.x=this.curve.one,this.y=this.curve.one,this.z=new i(0)):(this.x=new i(e,16),this.y=new i(r,16),this.z=new i(n,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}o(u,s),t.exports=u,u.prototype._getEndomorphism=function(t){if(this.zeroA&&this.g&&this.n&&1===this.p.modn(3)){var e,r;if(t.beta)e=new i(t.beta,16).toRed(this.red);else{var n=this._getEndoRoots(this.p);e=(e=n[0].cmp(n[1])<0?n[0]:n[1]).toRed(this.red)}if(t.lambda)r=new i(t.lambda,16);else{var o=this._getEndoRoots(this.n);0===this.g.mul(o[0]).x.cmp(this.g.x.redMul(e))?r=o[0]:(r=o[1],a(0===this.g.mul(r).x.cmp(this.g.x.redMul(e))))}return{beta:e,lambda:r,basis:t.basis?t.basis.map((function(t){return{a:new i(t.a,16),b:new i(t.b,16)}})):this._getEndoBasis(r)}}},u.prototype._getEndoRoots=function(t){var e=t===this.p?this.red:i.mont(t),r=new i(2).toRed(e).redInvm(),n=r.redNeg(),o=new i(3).toRed(e).redNeg().redSqrt().redMul(r);return[n.redAdd(o).fromRed(),n.redSub(o).fromRed()]},u.prototype._getEndoBasis=function(t){for(var e,r,n,o,s,a,u,h,f,c=this.n.ushrn(Math.floor(this.n.bitLength()/2)),l=t,d=this.n.clone(),p=new i(1),y=new i(0),m=new i(0),b=new i(1),v=0;0!==l.cmpn(0);){var g=d.div(l);h=d.sub(g.mul(l)),f=m.sub(g.mul(p));var w=b.sub(g.mul(y));if(!n&&h.cmp(c)<0)e=u.neg(),r=p,n=h.neg(),o=f;else if(n&&2==++v)break;u=h,d=l,l=h,m=p,p=f,b=y,y=w}s=h.neg(),a=f;var _=n.sqr().add(o.sqr());return s.sqr().add(a.sqr()).cmp(_)>=0&&(s=e,a=r),n.negative&&(n=n.neg(),o=o.neg()),s.negative&&(s=s.neg(),a=a.neg()),[{a:n,b:o},{a:s,b:a}]},u.prototype._endoSplit=function(t){var e=this.endo.basis,r=e[0],n=e[1],i=n.b.mul(t).divRound(this.n),o=r.b.neg().mul(t).divRound(this.n),s=i.mul(r.a),a=o.mul(n.a),u=i.mul(r.b),h=o.mul(n.b);return{k1:t.sub(s).sub(a),k2:u.add(h).neg()}},u.prototype.pointFromX=function(t,e){(t=new i(t,16)).red||(t=t.toRed(this.red));var r=t.redSqr().redMul(t).redIAdd(t.redMul(this.a)).redIAdd(this.b),n=r.redSqrt();if(0!==n.redSqr().redSub(r).cmp(this.zero))throw new Error("invalid point");var o=n.fromRed().isOdd();return(e&&!o||!e&&o)&&(n=n.redNeg()),this.point(t,n)},u.prototype.validate=function(t){if(t.inf)return!0;var e=t.x,r=t.y,n=this.a.redMul(e),i=e.redSqr().redMul(e).redIAdd(n).redIAdd(this.b);return 0===r.redSqr().redISub(i).cmpn(0)},u.prototype._endoWnafMulAdd=function(t,e,r){for(var n=this._endoWnafT1,i=this._endoWnafT2,o=0;o<t.length;o++){var s=this._endoSplit(e[o]),a=t[o],u=a._getBeta();s.k1.negative&&(s.k1.ineg(),a=a.neg(!0)),s.k2.negative&&(s.k2.ineg(),u=u.neg(!0)),n[2*o]=a,n[2*o+1]=u,i[2*o]=s.k1,i[2*o+1]=s.k2}for(var h=this._wnafMulAdd(1,n,i,2*o,r),f=0;f<2*o;f++)n[f]=null,i[f]=null;return h},o(h,s.BasePoint),u.prototype.point=function(t,e,r){return new h(this,t,e,r)},u.prototype.pointFromJSON=function(t,e){return h.fromJSON(this,t,e)},h.prototype._getBeta=function(){if(this.curve.endo){var t=this.precomputed;if(t&&t.beta)return t.beta;var e=this.curve.point(this.x.redMul(this.curve.endo.beta),this.y);if(t){var r=this.curve,n=function(t){return r.point(t.x.redMul(r.endo.beta),t.y)};t.beta=e,e.precomputed={beta:null,naf:t.naf&&{wnd:t.naf.wnd,points:t.naf.points.map(n)},doubles:t.doubles&&{step:t.doubles.step,points:t.doubles.points.map(n)}}}return e}},h.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]},h.fromJSON=function(t,e,r){"string"==typeof e&&(e=JSON.parse(e));var n=t.point(e[0],e[1],r);if(!e[2])return n;function i(e){return t.point(e[0],e[1],r)}var o=e[2];return n.precomputed={beta:null,doubles:o.doubles&&{step:o.doubles.step,points:[n].concat(o.doubles.points.map(i))},naf:o.naf&&{wnd:o.naf.wnd,points:[n].concat(o.naf.points.map(i))}},n},h.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)+">"},h.prototype.isInfinity=function(){return this.inf},h.prototype.add=function(t){if(this.inf)return t;if(t.inf)return this;if(this.eq(t))return this.dbl();if(this.neg().eq(t))return this.curve.point(null,null);if(0===this.x.cmp(t.x))return this.curve.point(null,null);var e=this.y.redSub(t.y);0!==e.cmpn(0)&&(e=e.redMul(this.x.redSub(t.x).redInvm()));var r=e.redSqr().redISub(this.x).redISub(t.x),n=e.redMul(this.x.redSub(r)).redISub(this.y);return this.curve.point(r,n)},h.prototype.dbl=function(){if(this.inf)return this;var t=this.y.redAdd(this.y);if(0===t.cmpn(0))return this.curve.point(null,null);var e=this.curve.a,r=this.x.redSqr(),n=t.redInvm(),i=r.redAdd(r).redIAdd(r).redIAdd(e).redMul(n),o=i.redSqr().redISub(this.x.redAdd(this.x)),s=i.redMul(this.x.redSub(o)).redISub(this.y);return this.curve.point(o,s)},h.prototype.getX=function(){return this.x.fromRed()},h.prototype.getY=function(){return this.y.fromRed()},h.prototype.mul=function(t){return t=new i(t,16),this.isInfinity()?this:this._hasDoubles(t)?this.curve._fixedNafMul(this,t):this.curve.endo?this.curve._endoWnafMulAdd([this],[t]):this.curve._wnafMul(this,t)},h.prototype.mulAdd=function(t,e,r){var n=[this,e],i=[t,r];return this.curve.endo?this.curve._endoWnafMulAdd(n,i):this.curve._wnafMulAdd(1,n,i,2)},h.prototype.jmulAdd=function(t,e,r){var n=[this,e],i=[t,r];return this.curve.endo?this.curve._endoWnafMulAdd(n,i,!0):this.curve._wnafMulAdd(1,n,i,2,!0)},h.prototype.eq=function(t){return this===t||this.inf===t.inf&&(this.inf||0===this.x.cmp(t.x)&&0===this.y.cmp(t.y))},h.prototype.neg=function(t){if(this.inf)return this;var e=this.curve.point(this.x,this.y.redNeg());if(t&&this.precomputed){var r=this.precomputed,n=function(t){return t.neg()};e.precomputed={naf:r.naf&&{wnd:r.naf.wnd,points:r.naf.points.map(n)},doubles:r.doubles&&{step:r.doubles.step,points:r.doubles.points.map(n)}}}return e},h.prototype.toJ=function(){return this.inf?this.curve.jpoint(null,null,null):this.curve.jpoint(this.x,this.y,this.curve.one)},o(f,s.BasePoint),u.prototype.jpoint=function(t,e,r){return new f(this,t,e,r)},f.prototype.toP=function(){if(this.isInfinity())return this.curve.point(null,null);var t=this.z.redInvm(),e=t.redSqr(),r=this.x.redMul(e),n=this.y.redMul(e).redMul(t);return this.curve.point(r,n)},f.prototype.neg=function(){return this.curve.jpoint(this.x,this.y.redNeg(),this.z)},f.prototype.add=function(t){if(this.isInfinity())return t;if(t.isInfinity())return this;var e=t.z.redSqr(),r=this.z.redSqr(),n=this.x.redMul(e),i=t.x.redMul(r),o=this.y.redMul(e.redMul(t.z)),s=t.y.redMul(r.redMul(this.z)),a=n.redSub(i),u=o.redSub(s);if(0===a.cmpn(0))return 0!==u.cmpn(0)?this.curve.jpoint(null,null,null):this.dbl();var h=a.redSqr(),f=h.redMul(a),c=n.redMul(h),l=u.redSqr().redIAdd(f).redISub(c).redISub(c),d=u.redMul(c.redISub(l)).redISub(o.redMul(f)),p=this.z.redMul(t.z).redMul(a);return this.curve.jpoint(l,d,p)},f.prototype.mixedAdd=function(t){if(this.isInfinity())return t.toJ();if(t.isInfinity())return this;var e=this.z.redSqr(),r=this.x,n=t.x.redMul(e),i=this.y,o=t.y.redMul(e).redMul(this.z),s=r.redSub(n),a=i.redSub(o);if(0===s.cmpn(0))return 0!==a.cmpn(0)?this.curve.jpoint(null,null,null):this.dbl();var u=s.redSqr(),h=u.redMul(s),f=r.redMul(u),c=a.redSqr().redIAdd(h).redISub(f).redISub(f),l=a.redMul(f.redISub(c)).redISub(i.redMul(h)),d=this.z.redMul(s);return this.curve.jpoint(c,l,d)},f.prototype.dblp=function(t){if(0===t)return this;if(this.isInfinity())return this;if(!t)return this.dbl();var e;if(this.curve.zeroA||this.curve.threeA){var r=this;for(e=0;e<t;e++)r=r.dbl();return r}var n=this.curve.a,i=this.curve.tinv,o=this.x,s=this.y,a=this.z,u=a.redSqr().redSqr(),h=s.redAdd(s);for(e=0;e<t;e++){var f=o.redSqr(),c=h.redSqr(),l=c.redSqr(),d=f.redAdd(f).redIAdd(f).redIAdd(n.redMul(u)),p=o.redMul(c),y=d.redSqr().redISub(p.redAdd(p)),m=p.redISub(y),b=d.redMul(m);b=b.redIAdd(b).redISub(l);var v=h.redMul(a);e+1<t&&(u=u.redMul(l)),o=y,a=v,h=b}return this.curve.jpoint(o,h.redMul(i),a)},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 t,e,r;if(this.zOne){var n=this.x.redSqr(),i=this.y.redSqr(),o=i.redSqr(),s=this.x.redAdd(i).redSqr().redISub(n).redISub(o);s=s.redIAdd(s);var a=n.redAdd(n).redIAdd(n),u=a.redSqr().redISub(s).redISub(s),h=o.redIAdd(o);h=(h=h.redIAdd(h)).redIAdd(h),t=u,e=a.redMul(s.redISub(u)).redISub(h),r=this.y.redAdd(this.y)}else{var f=this.x.redSqr(),c=this.y.redSqr(),l=c.redSqr(),d=this.x.redAdd(c).redSqr().redISub(f).redISub(l);d=d.redIAdd(d);var p=f.redAdd(f).redIAdd(f),y=p.redSqr(),m=l.redIAdd(l);m=(m=m.redIAdd(m)).redIAdd(m),t=y.redISub(d).redISub(d),e=p.redMul(d.redISub(t)).redISub(m),r=(r=this.y.redMul(this.z)).redIAdd(r)}return this.curve.jpoint(t,e,r)},f.prototype._threeDbl=function(){var t,e,r;if(this.zOne){var n=this.x.redSqr(),i=this.y.redSqr(),o=i.redSqr(),s=this.x.redAdd(i).redSqr().redISub(n).redISub(o);s=s.redIAdd(s);var a=n.redAdd(n).redIAdd(n).redIAdd(this.curve.a),u=a.redSqr().redISub(s).redISub(s);t=u;var h=o.redIAdd(o);h=(h=h.redIAdd(h)).redIAdd(h),e=a.redMul(s.redISub(u)).redISub(h),r=this.y.redAdd(this.y)}else{var f=this.z.redSqr(),c=this.y.redSqr(),l=this.x.redMul(c),d=this.x.redSub(f).redMul(this.x.redAdd(f));d=d.redAdd(d).redIAdd(d);var p=l.redIAdd(l),y=(p=p.redIAdd(p)).redAdd(p);t=d.redSqr().redISub(y),r=this.y.redAdd(this.z).redSqr().redISub(c).redISub(f);var m=c.redSqr();m=(m=(m=m.redIAdd(m)).redIAdd(m)).redIAdd(m),e=d.redMul(p.redISub(t)).redISub(m)}return this.curve.jpoint(t,e,r)},f.prototype._dbl=function(){var t=this.curve.a,e=this.x,r=this.y,n=this.z,i=n.redSqr().redSqr(),o=e.redSqr(),s=r.redSqr(),a=o.redAdd(o).redIAdd(o).redIAdd(t.redMul(i)),u=e.redAdd(e),h=(u=u.redIAdd(u)).redMul(s),f=a.redSqr().redISub(h.redAdd(h)),c=h.redISub(f),l=s.redSqr();l=(l=(l=l.redIAdd(l)).redIAdd(l)).redIAdd(l);var d=a.redMul(c).redISub(l),p=r.redAdd(r).redMul(n);return this.curve.jpoint(f,d,p)},f.prototype.trpl=function(){if(!this.curve.zeroA)return this.dbl().add(this);var t=this.x.redSqr(),e=this.y.redSqr(),r=this.z.redSqr(),n=e.redSqr(),i=t.redAdd(t).redIAdd(t),o=i.redSqr(),s=this.x.redAdd(e).redSqr().redISub(t).redISub(n),a=(s=(s=(s=s.redIAdd(s)).redAdd(s).redIAdd(s)).redISub(o)).redSqr(),u=n.redIAdd(n);u=(u=(u=u.redIAdd(u)).redIAdd(u)).redIAdd(u);var h=i.redIAdd(s).redSqr().redISub(o).redISub(a).redISub(u),f=e.redMul(h);f=(f=f.redIAdd(f)).redIAdd(f);var c=this.x.redMul(a).redISub(f);c=(c=c.redIAdd(c)).redIAdd(c);var l=this.y.redMul(h.redMul(u.redISub(h)).redISub(s.redMul(a)));l=(l=(l=l.redIAdd(l)).redIAdd(l)).redIAdd(l);var d=this.z.redAdd(s).redSqr().redISub(r).redISub(a);return this.curve.jpoint(c,l,d)},f.prototype.mul=function(t,e){return t=new i(t,e),this.curve._wnafMul(this,t)},f.prototype.eq=function(t){if("affine"===t.type)return this.eq(t.toJ());if(this===t)return!0;var e=this.z.redSqr(),r=t.z.redSqr();if(0!==this.x.redMul(r).redISub(t.x.redMul(e)).cmpn(0))return!1;var n=e.redMul(this.z),i=r.redMul(t.z);return 0===this.y.redMul(i).redISub(t.y.redMul(n)).cmpn(0)},f.prototype.eqXToP=function(t){var e=this.z.redSqr(),r=t.toRed(this.curve.red).redMul(e);if(0===this.x.cmp(r))return!0;for(var n=t.clone(),i=this.curve.redN.redMul(e);;){if(n.iadd(this.curve.n),n.cmp(this.curve.p)>=0)return!1;if(r.redIAdd(i),0===this.x.cmp(r))return!0}},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)}},function(t,e,r){"use strict";var n=r(21),i=r(0),o=r(50),s=r(11);function a(t){o.call(this,"mont",t),this.a=new n(t.a,16).toRed(this.red),this.b=new n(t.b,16).toRed(this.red),this.i4=new n(4).toRed(this.red).redInvm(),this.two=new 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strict";function n(t){return(n="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(t){return typeof t}:function(t){return t&&"function"==typeof Symbol&&t.constructor===Symbol&&t!==Symbol.prototype?"symbol":typeof t})(t)}var i=r(21),o=r(246),s=r(11),a=r(74),u=r(69),h=s.assert,f=r(247),c=r(248);function l(t){if(!(this instanceof l))return new l(t);"string"==typeof t&&(h(Object.prototype.hasOwnProperty.call(a,t),"Unknown curve "+t),t=a[t]),t instanceof a.PresetCurve&&(t={curve:t}),this.curve=t.curve.curve,this.n=this.curve.n,this.nh=this.n.ushrn(1),this.g=this.curve.g,this.g=t.curve.g,this.g.precompute(t.curve.n.bitLength()+1),this.hash=t.hash||t.curve.hash}t.exports=l,l.prototype.keyPair=function(t){return new f(this,t)},l.prototype.keyFromPrivate=function(t,e){return f.fromPrivate(this,t,e)},l.prototype.keyFromPublic=function(t,e){return f.fromPublic(this,t,e)},l.prototype.genKeyPair=function(t){t||(t={});for(var e=new o({hash:this.hash,pers:t.pers,persEnc:t.persEnc||"utf8",entropy:t.entropy||u(this.hash.hmacStrength),entropyEnc:t.entropy&&t.entropyEnc||"utf8",nonce:this.n.toArray()}),r=this.n.byteLength(),n=this.n.sub(new i(2));;){var s=new i(e.generate(r));if(!(s.cmp(n)>0))return s.iaddn(1),this.keyFromPrivate(s)}},l.prototype._truncateToN=function(t,e){var r=8*t.byteLength()-this.n.bitLength();return r>0&&(t=t.ushrn(r)),!e&&t.cmp(this.n)>=0?t.sub(this.n):t},l.prototype.sign=function(t,e,r,s){"object"===n(r)&&(s=r,r=null),s||(s={}),e=this.keyFromPrivate(e,r),t=this._truncateToN(new i(t,16));for(var a=this.n.byteLength(),u=e.getPrivate().toArray("be",a),h=t.toArray("be",a),f=new o({hash:this.hash,entropy:u,nonce:h,pers:s.pers,persEnc:s.persEnc||"utf8"}),l=this.n.sub(new i(1)),d=0;;d++){var p=s.k?s.k(d):new i(f.generate(this.n.byteLength()));if(!((p=this._truncateToN(p,!0)).cmpn(1)<=0||p.cmp(l)>=0)){var y=this.g.mul(p);if(!y.isInfinity()){var m=y.getX(),b=m.umod(this.n);if(0!==b.cmpn(0)){var v=p.invm(this.n).mul(b.mul(e.getPrivate()).iadd(t));if(0!==(v=v.umod(this.n)).cmpn(0)){var g=(y.getY().isOdd()?1:0)|(0!==m.cmp(b)?2:0);return s.canonical&&v.cmp(this.nh)>0&&(v=this.n.sub(v),g^=1),new c({r:b,s:v,recoveryParam:g})}}}}}},l.prototype.verify=function(t,e,r,n){t=this._truncateToN(new i(t,16)),r=this.keyFromPublic(r,n);var o=(e=new c(e,"hex")).r,s=e.s;if(o.cmpn(1)<0||o.cmp(this.n)>=0)return!1;if(s.cmpn(1)<0||s.cmp(this.n)>=0)return!1;var a,u=s.invm(this.n),h=u.mul(t).umod(this.n),f=u.mul(o).umod(this.n);return this.curve._maxwellTrick?!(a=this.g.jmulAdd(h,r.getPublic(),f)).isInfinity()&&a.eqXToP(o):!(a=this.g.mulAdd(h,r.getPublic(),f)).isInfinity()&&0===a.getX().umod(this.n).cmp(o)},l.prototype.recoverPubKey=function(t,e,r,n){h((3&r)===r,"The recovery param is more than two bits"),e=new c(e,n);var o=this.n,s=new i(t),a=e.r,u=e.s,f=1&r,l=r>>1;if(a.cmp(this.curve.p.umod(this.curve.n))>=0&&l)throw new Error("Unable to find sencond key candinate");a=l?this.curve.pointFromX(a.add(this.curve.n),f):this.curve.pointFromX(a,f);var d=e.r.invm(o),p=o.sub(s).mul(d).umod(o),y=u.mul(d).umod(o);return this.g.mulAdd(p,a,y)},l.prototype.getKeyRecoveryParam=function(t,e,r,n){if(null!==(e=new c(e,n)).recoveryParam)return e.recoveryParam;for(var i=0;i<4;i++){var o;try{o=this.recoverPubKey(t,e,i)}catch(t){continue}if(o.eq(r))return i}throw new Error("Unable to find valid recovery factor")}},function(t,e,r){"use strict";var n=r(75),i=r(128),o=r(10);function s(t){if(!(this instanceof s))return new s(t);this.hash=t.hash,this.predResist=!!t.predResist,this.outLen=this.hash.outSize,this.minEntropy=t.minEntropy||this.hash.hmacStrength,this._reseed=null,this.reseedInterval=null,this.K=null,this.V=null;var e=i.toArray(t.entropy,t.entropyEnc||"hex"),r=i.toArray(t.nonce,t.nonceEnc||"hex"),n=i.toArray(t.pers,t.persEnc||"hex");o(e.length>=this.minEntropy/8,"Not enough entropy. Minimum is: "+this.minEntropy+" bits"),this._init(e,r,n)}t.exports=s,s.prototype._init=function(t,e,r){var n=t.concat(e).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(n),this._reseed=1,this.reseedInterval=281474976710656},s.prototype._hmac=function(){return new n.hmac(this.hash,this.K)},s.prototype._update=function(t){var e=this._hmac().update(this.V).update([0]);t&&(e=e.update(t)),this.K=e.digest(),this.V=this._hmac().update(this.V).digest(),t&&(this.K=this._hmac().update(this.V).update([1]).update(t).digest(),this.V=this._hmac().update(this.V).digest())},s.prototype.reseed=function(t,e,r,n){"string"!=typeof e&&(n=r,r=e,e=null),t=i.toArray(t,e),r=i.toArray(r,n),o(t.length>=this.minEntropy/8,"Not enough entropy. Minimum is: "+this.minEntropy+" bits"),this._update(t.concat(r||[])),this._reseed=1},s.prototype.generate=function(t,e,r,n){if(this._reseed>this.reseedInterval)throw new Error("Reseed is required");"string"!=typeof e&&(n=r,r=e,e=null),r&&(r=i.toArray(r,n||"hex"),this._update(r));for(var o=[];o.length<t;)this.V=this._hmac().update(this.V).digest(),o=o.concat(this.V);var s=o.slice(0,t);return this._update(r),this._reseed++,i.encode(s,e)}},function(t,e,r){"use strict";var n=r(21),i=r(11).assert;function o(t,e){this.ec=t,this.priv=null,this.pub=null,e.priv&&this._importPrivate(e.priv,e.privEnc),e.pub&&this._importPublic(e.pub,e.pubEnc)}t.exports=o,o.fromPublic=function(t,e,r){return e instanceof o?e:new o(t,{pub:e,pubEnc:r})},o.fromPrivate=function(t,e,r){return e instanceof o?e:new o(t,{priv:e,privEnc:r})},o.prototype.validate=function(){var t=this.getPublic();return t.isInfinity()?{result:!1,reason:"Invalid public key"}:t.validate()?t.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"}},o.prototype.getPublic=function(t,e){return"string"==typeof t&&(e=t,t=null),this.pub||(this.pub=this.ec.g.mul(this.priv)),e?this.pub.encode(e,t):this.pub},o.prototype.getPrivate=function(t){return"hex"===t?this.priv.toString(16,2):this.priv},o.prototype._importPrivate=function(t,e){this.priv=new n(t,e||16),this.priv=this.priv.umod(this.ec.curve.n)},o.prototype._importPublic=function(t,e){if(t.x||t.y)return"mont"===this.ec.curve.type?i(t.x,"Need x coordinate"):"short"!==this.ec.curve.type&&"edwards"!==this.ec.curve.type||i(t.x&&t.y,"Need both x and y coordinate"),void(this.pub=this.ec.curve.point(t.x,t.y));this.pub=this.ec.curve.decodePoint(t,e)},o.prototype.derive=function(t){return t.validate()||i(t.validate(),"public point not validated"),t.mul(this.priv).getX()},o.prototype.sign=function(t,e,r){return this.ec.sign(t,this,e,r)},o.prototype.verify=function(t,e){return this.ec.verify(t,e,this)},o.prototype.inspect=function(){return"<Key priv: "+(this.priv&&this.priv.toString(16,2))+" pub: "+(this.pub&&this.pub.inspect())+" >"}},function(t,e,r){"use strict";var n=r(21),i=r(11),o=i.assert;function s(t,e){if(t instanceof s)return t;this._importDER(t,e)||(o(t.r&&t.s,"Signature without r or s"),this.r=new n(t.r,16),this.s=new n(t.s,16),void 0===t.recoveryParam?this.recoveryParam=null:this.recoveryParam=t.recoveryParam)}function a(){this.place=0}function u(t,e){var r=t[e.place++];if(!(128&r))return r;var n=15&r;if(0===n||n>4)return!1;for(var i=0,o=0,s=e.place;o<n;o++,s++)i<<=8,i|=t[s],i>>>=0;return!(i<=127)&&(e.place=s,i)}function h(t){for(var e=0,r=t.length-1;!t[e]&&!(128&t[e+1])&&e<r;)e++;return 0===e?t:t.slice(e)}function f(t,e){if(e<128)t.push(e);else{var r=1+(Math.log(e)/Math.LN2>>>3);for(t.push(128|r);--r;)t.push(e>>>(r<<3)&255);t.push(e)}}t.exports=s,s.prototype._importDER=function(t,e){t=i.toArray(t,e);var r=new a;if(48!==t[r.place++])return!1;var o=u(t,r);if(!1===o)return!1;if(o+r.place!==t.length)return!1;if(2!==t[r.place++])return!1;var s=u(t,r);if(!1===s)return!1;var h=t.slice(r.place,s+r.place);if(r.place+=s,2!==t[r.place++])return!1;var f=u(t,r);if(!1===f)return!1;if(t.length!==f+r.place)return!1;var c=t.slice(r.place,f+r.place);if(0===h[0]){if(!(128&h[1]))return!1;h=h.slice(1)}if(0===c[0]){if(!(128&c[1]))return!1;c=c.slice(1)}return this.r=new n(h),this.s=new n(c),this.recoveryParam=null,!0},s.prototype.toDER=function(t){var e=this.r.toArray(),r=this.s.toArray();for(128&e[0]&&(e=[0].concat(e)),128&r[0]&&(r=[0].concat(r)),e=h(e),r=h(r);!(r[0]||128&r[1]);)r=r.slice(1);var n=[2];f(n,e.length),(n=n.concat(e)).push(2),f(n,r.length);var o=n.concat(r),s=[48];return f(s,o.length),s=s.concat(o),i.encode(s,t)}},function(t,e,r){"use strict";var n=r(75),i=r(74),o=r(11),s=o.assert,a=o.parseBytes,u=r(250),h=r(251);function f(t){if(s("ed25519"===t,"only tested with ed25519 so far"),!(this instanceof f))return new f(t);t=i[t].curve,this.curve=t,this.g=t.g,this.g.precompute(t.n.bitLength()+1),this.pointClass=t.point().constructor,this.encodingLength=Math.ceil(t.n.bitLength()/8),this.hash=n.sha512}t.exports=f,f.prototype.sign=function(t,e){t=a(t);var r=this.keyFromSecret(e),n=this.hashInt(r.messagePrefix(),t),i=this.g.mul(n),o=this.encodePoint(i),s=this.hashInt(o,r.pubBytes(),t).mul(r.priv()),u=n.add(s).umod(this.curve.n);return this.makeSignature({R:i,S:u,Rencoded:o})},f.prototype.verify=function(t,e,r){t=a(t),e=this.makeSignature(e);var n=this.keyFromPublic(r),i=this.hashInt(e.Rencoded(),n.pubBytes(),t),o=this.g.mul(e.S());return e.R().add(n.pub().mul(i)).eq(o)},f.prototype.hashInt=function(){for(var t=this.hash(),e=0;e<arguments.length;e++)t.update(arguments[e]);return o.intFromLE(t.digest()).umod(this.curve.n)},f.prototype.keyFromPublic=function(t){return u.fromPublic(this,t)},f.prototype.keyFromSecret=function(t){return u.fromSecret(this,t)},f.prototype.makeSignature=function(t){return t instanceof h?t:new h(this,t)},f.prototype.encodePoint=function(t){var e=t.getY().toArray("le",this.encodingLength);return e[this.encodingLength-1]|=t.getX().isOdd()?128:0,e},f.prototype.decodePoint=function(t){var e=(t=o.parseBytes(t)).length-1,r=t.slice(0,e).concat(-129&t[e]),n=0!=(128&t[e]),i=o.intFromLE(r);return this.curve.pointFromY(i,n)},f.prototype.encodeInt=function(t){return t.toArray("le",this.encodingLength)},f.prototype.decodeInt=function(t){return o.intFromLE(t)},f.prototype.isPoint=function(t){return t instanceof this.pointClass}},function(t,e,r){"use strict";var n=r(11),i=n.assert,o=n.parseBytes,s=n.cachedProperty;function a(t,e){this.eddsa=t,this._secret=o(e.secret),t.isPoint(e.pub)?this._pub=e.pub:this._pubBytes=o(e.pub)}a.fromPublic=function(t,e){return e instanceof a?e:new a(t,{pub:e})},a.fromSecret=function(t,e){return e instanceof a?e:new a(t,{secret:e})},a.prototype.secret=function(){return this._secret},s(a,"pubBytes",(function(){return this.eddsa.encodePoint(this.pub())})),s(a,"pub",(function(){return this._pubBytes?this.eddsa.decodePoint(this._pubBytes):this.eddsa.g.mul(this.priv())})),s(a,"privBytes",(function(){var t=this.eddsa,e=this.hash(),r=t.encodingLength-1,n=e.slice(0,t.encodingLength);return n[0]&=248,n[r]&=127,n[r]|=64,n})),s(a,"priv",(function(){return this.eddsa.decodeInt(this.privBytes())})),s(a,"hash",(function(){return this.eddsa.hash().update(this.secret()).digest()})),s(a,"messagePrefix",(function(){return this.hash().slice(this.eddsa.encodingLength)})),a.prototype.sign=function(t){return i(this._secret,"KeyPair can only verify"),this.eddsa.sign(t,this)},a.prototype.verify=function(t,e){return this.eddsa.verify(t,e,this)},a.prototype.getSecret=function(t){return i(this._secret,"KeyPair is public only"),n.encode(this.secret(),t)},a.prototype.getPublic=function(t){return n.encode(this.pubBytes(),t)},t.exports=a},function(t,e,r){"use strict";function n(t){return(n="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(t){return typeof t}:function(t){return t&&"function"==typeof Symbol&&t.constructor===Symbol&&t!==Symbol.prototype?"symbol":typeof t})(t)}var i=r(21),o=r(11),s=o.assert,a=o.cachedProperty,u=o.parseBytes;function h(t,e){this.eddsa=t,"object"!==n(e)&&(e=u(e)),Array.isArray(e)&&(e={R:e.slice(0,t.encodingLength),S:e.slice(t.encodingLength)}),s(e.R&&e.S,"Signature without R or S"),t.isPoint(e.R)&&(this._R=e.R),e.S instanceof i&&(this._S=e.S),this._Rencoded=Array.isArray(e.R)?e.R:e.Rencoded,this._Sencoded=Array.isArray(e.S)?e.S:e.Sencoded}a(h,"S",(function(){return this.eddsa.decodeInt(this.Sencoded())})),a(h,"R",(function(){return this.eddsa.decodePoint(this.Rencoded())})),a(h,"Rencoded",(function(){return this.eddsa.encodePoint(this.R())})),a(h,"Sencoded",(function(){return this.eddsa.encodeInt(this.S())})),h.prototype.toBytes=function(){return this.Rencoded().concat(this.Sencoded())},h.prototype.toHex=function(){return o.encode(this.toBytes(),"hex").toUpperCase()},t.exports=h},function(t,e,r){"use strict";var n=r(133);e.certificate=r(259);var i=n.define("RSAPrivateKey",(function(){this.seq().obj(this.key("version").int(),this.key("modulus").int(),this.key("publicExponent").int(),this.key("privateExponent").int(),this.key("prime1").int(),this.key("prime2").int(),this.key("exponent1").int(),this.key("exponent2").int(),this.key("coefficient").int())}));e.RSAPrivateKey=i;var o=n.define("RSAPublicKey",(function(){this.seq().obj(this.key("modulus").int(),this.key("publicExponent").int())}));e.RSAPublicKey=o;var s=n.define("SubjectPublicKeyInfo",(function(){this.seq().obj(this.key("algorithm").use(a),this.key("subjectPublicKey").bitstr())}));e.PublicKey=s;var a=n.define("AlgorithmIdentifier",(function(){this.seq().obj(this.key("algorithm").objid(),this.key("none").null_().optional(),this.key("curve").objid().optional(),this.key("params").seq().obj(this.key("p").int(),this.key("q").int(),this.key("g").int()).optional())})),u=n.define("PrivateKeyInfo",(function(){this.seq().obj(this.key("version").int(),this.key("algorithm").use(a),this.key("subjectPrivateKey").octstr())}));e.PrivateKey=u;var h=n.define("EncryptedPrivateKeyInfo",(function(){this.seq().obj(this.key("algorithm").seq().obj(this.key("id").objid(),this.key("decrypt").seq().obj(this.key("kde").seq().obj(this.key("id").objid(),this.key("kdeparams").seq().obj(this.key("salt").octstr(),this.key("iters").int())),this.key("cipher").seq().obj(this.key("algo").objid(),this.key("iv").octstr()))),this.key("subjectPrivateKey").octstr())}));e.EncryptedPrivateKey=h;var f=n.define("DSAPrivateKey",(function(){this.seq().obj(this.key("version").int(),this.key("p").int(),this.key("q").int(),this.key("g").int(),this.key("pub_key").int(),this.key("priv_key").int())}));e.DSAPrivateKey=f,e.DSAparam=n.define("DSAparam",(function(){this.int()}));var c=n.define("ECPrivateKey",(function(){this.seq().obj(this.key("version").int(),this.key("privateKey").octstr(),this.key("parameters").optional().explicit(0).use(l),this.key("publicKey").optional().explicit(1).bitstr())}));e.ECPrivateKey=c;var l=n.define("ECParameters",(function(){this.choice({namedCurve:this.objid()})}));e.signature=n.define("signature",(function(){this.seq().obj(this.key("r").int(),this.key("s").int())}))},function(t,e){},function(t,e,r){"use strict";var n=r(135),i=r(137),o=r(0);function s(t,e){this.name=t,this.body=e,this.decoders={},this.encoders={}}e.define=function(t,e){return new s(t,e)},s.prototype._createNamed=function(t){var e=this.name;function r(t){this._initNamed(t,e)}return o(r,t),r.prototype._initNamed=function(e,r){t.call(this,e,r)},new r(this)},s.prototype._getDecoder=function(t){return t=t||"der",this.decoders.hasOwnProperty(t)||(this.decoders[t]=this._createNamed(i[t])),this.decoders[t]},s.prototype.decode=function(t,e,r){return this._getDecoder(e).decode(t,r)},s.prototype._getEncoder=function(t){return t=t||"der",this.encoders.hasOwnProperty(t)||(this.encoders[t]=this._createNamed(n[t])),this.encoders[t]},s.prototype.encode=function(t,e,r){return this._getEncoder(e).encode(t,r)}},function(t,e,r){"use strict";var n=r(0),i=r(136);function o(t){i.call(this,t),this.enc="pem"}n(o,i),t.exports=o,o.prototype.encode=function(t,e){for(var r=i.prototype.encode.call(this,t).toString("base64"),n=["-----BEGIN "+e.label+"-----"],o=0;o<r.length;o+=64)n.push(r.slice(o,o+64));return n.push("-----END "+e.label+"-----"),n.join("\n")}},function(t,e,r){"use strict";var n=r(0),i=r(76).Buffer,o=r(138);function s(t){o.call(this,t),this.enc="pem"}n(s,o),t.exports=s,s.prototype.decode=function(t,e){for(var r=t.toString().split(/[\r\n]+/g),n=e.label.toUpperCase(),s=/^-----(BEGIN|END) ([^-]+)-----$/,a=-1,u=-1,h=0;h<r.length;h++){var f=r[h].match(s);if(null!==f&&f[2]===n){if(-1!==a){if("END"!==f[1])break;u=h;break}if("BEGIN"!==f[1])break;a=h}}if(-1===a||-1===u)throw new Error("PEM section not found for: "+n);var c=r.slice(a+1,u).join("");c.replace(/[^a-z0-9+/=]+/gi,"");var l=i.from(c,"base64");return o.prototype.decode.call(this,l,e)}},function(t,e,r){"use strict";var n=e;n.Reporter=r(78).Reporter,n.DecoderBuffer=r(40).DecoderBuffer,n.EncoderBuffer=r(40).EncoderBuffer,n.Node=r(77)},function(t,e,r){"use strict";var n=e;n._reverse=function(t){var e={};return Object.keys(t).forEach((function(r){(0|r)==r&&(r|=0);var n=t[r];e[n]=r})),e},n.der=r(79)},function(t,e,r){"use strict";var n=r(133),i=n.define("Time",(function(){this.choice({utcTime:this.utctime(),generalTime:this.gentime()})})),o=n.define("AttributeTypeValue",(function(){this.seq().obj(this.key("type").objid(),this.key("value").any())})),s=n.define("AlgorithmIdentifier",(function(){this.seq().obj(this.key("algorithm").objid(),this.key("parameters").optional(),this.key("curve").objid().optional())})),a=n.define("SubjectPublicKeyInfo",(function(){this.seq().obj(this.key("algorithm").use(s),this.key("subjectPublicKey").bitstr())})),u=n.define("RelativeDistinguishedName",(function(){this.setof(o)})),h=n.define("RDNSequence",(function(){this.seqof(u)})),f=n.define("Name",(function(){this.choice({rdnSequence:this.use(h)})})),c=n.define("Validity",(function(){this.seq().obj(this.key("notBefore").use(i),this.key("notAfter").use(i))})),l=n.define("Extension",(function(){this.seq().obj(this.key("extnID").objid(),this.key("critical").bool().def(!1),this.key("extnValue").octstr())})),d=n.define("TBSCertificate",(function(){this.seq().obj(this.key("version").explicit(0).int().optional(),this.key("serialNumber").int(),this.key("signature").use(s),this.key("issuer").use(f),this.key("validity").use(c),this.key("subject").use(f),this.key("subjectPublicKeyInfo").use(a),this.key("issuerUniqueID").implicit(1).bitstr().optional(),this.key("subjectUniqueID").implicit(2).bitstr().optional(),this.key("extensions").explicit(3).seqof(l).optional())})),p=n.define("X509Certificate",(function(){this.seq().obj(this.key("tbsCertificate").use(d),this.key("signatureAlgorithm").use(s),this.key("signatureValue").bitstr())}));t.exports=p},function(t){t.exports=JSON.parse('{"2.16.840.1.101.3.4.1.1":"aes-128-ecb","2.16.840.1.101.3.4.1.2":"aes-128-cbc","2.16.840.1.101.3.4.1.3":"aes-128-ofb","2.16.840.1.101.3.4.1.4":"aes-128-cfb","2.16.840.1.101.3.4.1.21":"aes-192-ecb","2.16.840.1.101.3.4.1.22":"aes-192-cbc","2.16.840.1.101.3.4.1.23":"aes-192-ofb","2.16.840.1.101.3.4.1.24":"aes-192-cfb","2.16.840.1.101.3.4.1.41":"aes-256-ecb","2.16.840.1.101.3.4.1.42":"aes-256-cbc","2.16.840.1.101.3.4.1.43":"aes-256-ofb","2.16.840.1.101.3.4.1.44":"aes-256-cfb"}')},function(t,e,r){var n=/Proc-Type: 4,ENCRYPTED[\n\r]+DEK-Info: AES-((?:128)|(?:192)|(?:256))-CBC,([0-9A-H]+)[\n\r]+([0-9A-z\n\r+/=]+)[\n\r]+/m,i=/^-----BEGIN ((?:.*? KEY)|CERTIFICATE)-----/m,o=/^-----BEGIN ((?:.*? KEY)|CERTIFICATE)-----([0-9A-z\n\r+/=]+)-----END \1-----$/m,s=r(49),a=r(67),u=r(2).Buffer;t.exports=function(t,e){var r,h=t.toString(),f=h.match(n);if(f){var c="aes"+f[1],l=u.from(f[2],"hex"),d=u.from(f[3].replace(/[\r\n]/g,""),"base64"),p=s(e,l.slice(0,8),parseInt(f[1],10)).key,y=[],m=a.createDecipheriv(c,p,l);y.push(m.update(d)),y.push(m.final()),r=u.concat(y)}else{var b=h.match(o);r=u.from(b[2].replace(/[\r\n]/g,""),"base64")}return{tag:h.match(i)[1],data:r}}},function(t,e,r){var n=r(70).Buffer,i=r(72),o=r(73).ec,s=r(51),a=r(139);function u(t,e){if(t.cmpn(0)<=0)throw new Error("invalid sig");if(t.cmp(e)>=e)throw new Error("invalid sig")}t.exports=function(t,e,r,h,f){var c=s(r);if("ec"===c.type){if("ecdsa"!==h&&"ecdsa/rsa"!==h)throw new Error("wrong public key type");return function(t,e,r){var n=a[r.data.algorithm.curve.join(".")];if(!n)throw new Error("unknown curve "+r.data.algorithm.curve.join("."));var i=new o(n),s=r.data.subjectPrivateKey.data;return i.verify(e,t,s)}(t,e,c)}if("dsa"===c.type){if("dsa"!==h)throw new Error("wrong public key type");return function(t,e,r){var n=r.data.p,o=r.data.q,a=r.data.g,h=r.data.pub_key,f=s.signature.decode(t,"der"),c=f.s,l=f.r;u(c,o),u(l,o);var d=i.mont(n),p=c.invm(o);return 0===a.toRed(d).redPow(new i(e).mul(p).mod(o)).fromRed().mul(h.toRed(d).redPow(l.mul(p).mod(o)).fromRed()).mod(n).mod(o).cmp(l)}(t,e,c)}if("rsa"!==h&&"ecdsa/rsa"!==h)throw new Error("wrong public key type");e=n.concat([f,e]);for(var l=c.modulus.byteLength(),d=[1],p=0;e.length+d.length+2<l;)d.push(255),p++;d.push(0);for(var y=-1;++y<e.length;)d.push(e[y]);d=n.from(d);var m=i.mont(c.modulus);t=(t=new i(t).toRed(m)).redPow(new i(c.publicExponent)),t=n.from(t.fromRed().toArray());var b=p<8?1:0;for(l=Math.min(t.length,d.length),t.length!==d.length&&(b=1),y=-1;++y<l;)b|=t[y]^d[y];return 0===b}},function(t,e,r){(function(e){var n=r(73),i=r(264);t.exports=function(t){return new s(t)};var o={secp256k1:{name:"secp256k1",byteLength:32},secp224r1:{name:"p224",byteLength:28},prime256v1:{name:"p256",byteLength:32},prime192v1:{name:"p192",byteLength:24},ed25519:{name:"ed25519",byteLength:32},secp384r1:{name:"p384",byteLength:48},secp521r1:{name:"p521",byteLength:66}};function s(t){this.curveType=o[t],this.curveType||(this.curveType={name:t}),this.curve=new n.ec(this.curveType.name),this.keys=void 0}function a(t,r,n){Array.isArray(t)||(t=t.toArray());var i=new e(t);if(n&&i.length<n){var o=new e(n-i.length);o.fill(0),i=e.concat([o,i])}return r?i.toString(r):i}o.p224=o.secp224r1,o.p256=o.secp256r1=o.prime256v1,o.p192=o.secp192r1=o.prime192v1,o.p384=o.secp384r1,o.p521=o.secp521r1,s.prototype.generateKeys=function(t,e){return this.keys=this.curve.genKeyPair(),this.getPublicKey(t,e)},s.prototype.computeSecret=function(t,r,n){return r=r||"utf8",e.isBuffer(t)||(t=new e(t,r)),a(this.curve.keyFromPublic(t).getPublic().mul(this.keys.getPrivate()).getX(),n,this.curveType.byteLength)},s.prototype.getPublicKey=function(t,e){var r=this.keys.getPublic("compressed"===e,!0);return"hybrid"===e&&(r[r.length-1]%2?r[0]=7:r[0]=6),a(r,t)},s.prototype.getPrivateKey=function(t){return a(this.keys.getPrivate(),t)},s.prototype.setPublicKey=function(t,r){return r=r||"utf8",e.isBuffer(t)||(t=new e(t,r)),this.keys._importPublic(t),this},s.prototype.setPrivateKey=function(t,r){r=r||"utf8",e.isBuffer(t)||(t=new e(t,r));var n=new i(t);return n=n.toString(16),this.keys=this.curve.genKeyPair(),this.keys._importPrivate(n),this}}).call(this,r(3).Buffer)},function(t,e,r){(function(t){function e(t){return(e="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(t){return typeof t}:function(t){return t&&"function"==typeof Symbol&&t.constructor===Symbol&&t!==Symbol.prototype?"symbol":typeof t})(t)}!function(t,n){"use strict";function i(t,e){if(!t)throw new 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o,s,a=0;if("be"===r)for(n=t.length-1,o=0;n>=0;n-=3)s=t[n]|t[n-1]<<8|t[n-2]<<16,this.words[o]|=s<<a&67108863,this.words[o+1]=s>>>26-a&67108863,(a+=24)>=26&&(a-=26,o++);else if("le"===r)for(n=0,o=0;n<t.length;n+=3)s=t[n]|t[n+1]<<8|t[n+2]<<16,this.words[o]|=s<<a&67108863,this.words[o+1]=s>>>26-a&67108863,(a+=24)>=26&&(a-=26,o++);return this.strip()},s.prototype._parseHex=function(t,e,r){this.length=Math.ceil((t.length-e)/6),this.words=new Array(this.length);for(var n=0;n<this.length;n++)this.words[n]=0;var i,o=0,s=0;if("be"===r)for(n=t.length-1;n>=e;n-=2)i=h(t,e,n)<<o,this.words[s]|=67108863&i,o>=18?(o-=18,s+=1,this.words[s]|=i>>>26):o+=8;else for(n=(t.length-e)%2==0?e+1:e;n<t.length;n+=2)i=h(t,e,n)<<o,this.words[s]|=67108863&i,o>=18?(o-=18,s+=1,this.words[s]|=i>>>26):o+=8;this.strip()},s.prototype._parseBase=function(t,e,r){this.words=[0],this.length=1;for(var n=0,i=1;i<=67108863;i*=e)n++;n--,i=i/e|0;for(var o=t.length-r,s=o%n,a=Math.min(o,o-s)+r,u=0,h=r;h<a;h+=n)u=f(t,h,h+n,e),this.imuln(i),this.words[0]+u<67108864?this.words[0]+=u:this._iaddn(u);if(0!==s){var c=1;for(u=f(t,h,t.length,e),h=0;h<s;h++)c*=e;this.imuln(c),this.words[0]+u<67108864?this.words[0]+=u:this._iaddn(u)}this.strip()},s.prototype.copy=function(t){t.words=new Array(this.length);for(var e=0;e<this.length;e++)t.words[e]=this.words[e];t.length=this.length,t.negative=this.negative,t.red=this.red},s.prototype.clone=function(){var t=new s(null);return this.copy(t),t},s.prototype._expand=function(t){for(;this.length<t;)this.words[this.length++]=0;return this},s.prototype.strip=function(){for(;this.length>1&&0===this.words[this.length-1];)this.length--;return this._normSign()},s.prototype._normSign=function(){return 1===this.length&&0===this.words[0]&&(this.negative=0),this},s.prototype.inspect=function(){return(this.red?"<BN-R: ":"<BN: ")+this.toString(16)+">"};var c=["","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],d=[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];function p(t,e,r){r.negative=e.negative^t.negative;var n=t.length+e.length|0;r.length=n,n=n-1|0;var i=0|t.words[0],o=0|e.words[0],s=i*o,a=67108863&s,u=s/67108864|0;r.words[0]=a;for(var h=1;h<n;h++){for(var f=u>>>26,c=67108863&u,l=Math.min(h,e.length-1),d=Math.max(0,h-t.length+1);d<=l;d++){var p=h-d|0;f+=(s=(i=0|t.words[p])*(o=0|e.words[d])+c)/67108864|0,c=67108863&s}r.words[h]=0|c,u=0|f}return 0!==u?r.words[h]=0|u:r.length--,r.strip()}s.prototype.toString=function(t,e){var r;if(e=0|e||1,16===(t=t||10)||"hex"===t){r="";for(var n=0,o=0,s=0;s<this.length;s++){var a=this.words[s],u=(16777215&(a<<n|o)).toString(16);r=0!==(o=a>>>24-n&16777215)||s!==this.length-1?c[6-u.length]+u+r:u+r,(n+=2)>=26&&(n-=26,s--)}for(0!==o&&(r=o.toString(16)+r);r.length%e!=0;)r="0"+r;return 0!==this.negative&&(r="-"+r),r}if(t===(0|t)&&t>=2&&t<=36){var h=l[t],f=d[t];r="";var p=this.clone();for(p.negative=0;!p.isZero();){var y=p.modn(f).toString(t);r=(p=p.idivn(f)).isZero()?y+r:c[h-y.length]+y+r}for(this.isZero()&&(r="0"+r);r.length%e!=0;)r="0"+r;return 0!==this.negative&&(r="-"+r),r}i(!1,"Base should be between 2 and 36")},s.prototype.toNumber=function(){var t=this.words[0];return 2===this.length?t+=67108864*this.words[1]:3===this.length&&1===this.words[2]?t+=4503599627370496+67108864*this.words[1]:this.length>2&&i(!1,"Number can only safely store up to 53 bits"),0!==this.negative?-t:t},s.prototype.toJSON=function(){return this.toString(16)},s.prototype.toBuffer=function(t,e){return i(void 0!==a),this.toArrayLike(a,t,e)},s.prototype.toArray=function(t,e){return this.toArrayLike(Array,t,e)},s.prototype.toArrayLike=function(t,e,r){var n=this.byteLength(),o=r||Math.max(1,n);i(n<=o,"byte array longer than desired length"),i(o>0,"Requested array length <= 0"),this.strip();var s,a,u="le"===e,h=new t(o),f=this.clone();if(u){for(a=0;!f.isZero();a++)s=f.andln(255),f.iushrn(8),h[a]=s;for(;a<o;a++)h[a]=0}else{for(a=0;a<o-n;a++)h[a]=0;for(a=0;!f.isZero();a++)s=f.andln(255),f.iushrn(8),h[o-a-1]=s}return h},Math.clz32?s.prototype._countBits=function(t){return 32-Math.clz32(t)}:s.prototype._countBits=function(t){var e=t,r=0;return e>=4096&&(r+=13,e>>>=13),e>=64&&(r+=7,e>>>=7),e>=8&&(r+=4,e>>>=4),e>=2&&(r+=2,e>>>=2),r+e},s.prototype._zeroBits=function(t){if(0===t)return 26;var e=t,r=0;return 0==(8191&e)&&(r+=13,e>>>=13),0==(127&e)&&(r+=7,e>>>=7),0==(15&e)&&(r+=4,e>>>=4),0==(3&e)&&(r+=2,e>>>=2),0==(1&e)&&r++,r},s.prototype.bitLength=function(){var t=this.words[this.length-1],e=this._countBits(t);return 26*(this.length-1)+e},s.prototype.zeroBits=function(){if(this.isZero())return 0;for(var t=0,e=0;e<this.length;e++){var r=this._zeroBits(this.words[e]);if(t+=r,26!==r)break}return t},s.prototype.byteLength=function(){return Math.ceil(this.bitLength()/8)},s.prototype.toTwos=function(t){return 0!==this.negative?this.abs().inotn(t).iaddn(1):this.clone()},s.prototype.fromTwos=function(t){return this.testn(t-1)?this.notn(t).iaddn(1).ineg():this.clone()},s.prototype.isNeg=function(){return 0!==this.negative},s.prototype.neg=function(){return this.clone().ineg()},s.prototype.ineg=function(){return this.isZero()||(this.negative^=1),this},s.prototype.iuor=function(t){for(;this.length<t.length;)this.words[this.length++]=0;for(var e=0;e<t.length;e++)this.words[e]=this.words[e]|t.words[e];return this.strip()},s.prototype.ior=function(t){return i(0==(this.negative|t.negative)),this.iuor(t)},s.prototype.or=function(t){return this.length>t.length?this.clone().ior(t):t.clone().ior(this)},s.prototype.uor=function(t){return this.length>t.length?this.clone().iuor(t):t.clone().iuor(this)},s.prototype.iuand=function(t){var e;e=this.length>t.length?t:this;for(var r=0;r<e.length;r++)this.words[r]=this.words[r]&t.words[r];return this.length=e.length,this.strip()},s.prototype.iand=function(t){return i(0==(this.negative|t.negative)),this.iuand(t)},s.prototype.and=function(t){return this.length>t.length?this.clone().iand(t):t.clone().iand(this)},s.prototype.uand=function(t){return this.length>t.length?this.clone().iuand(t):t.clone().iuand(this)},s.prototype.iuxor=function(t){var e,r;this.length>t.length?(e=this,r=t):(e=t,r=this);for(var n=0;n<r.length;n++)this.words[n]=e.words[n]^r.words[n];if(this!==e)for(;n<e.length;n++)this.words[n]=e.words[n];return this.length=e.length,this.strip()},s.prototype.ixor=function(t){return i(0==(this.negative|t.negative)),this.iuxor(t)},s.prototype.xor=function(t){return this.length>t.length?this.clone().ixor(t):t.clone().ixor(this)},s.prototype.uxor=function(t){return this.length>t.length?this.clone().iuxor(t):t.clone().iuxor(this)},s.prototype.inotn=function(t){i("number"==typeof t&&t>=0);var e=0|Math.ceil(t/26),r=t%26;this._expand(e),r>0&&e--;for(var n=0;n<e;n++)this.words[n]=67108863&~this.words[n];return r>0&&(this.words[n]=~this.words[n]&67108863>>26-r),this.strip()},s.prototype.notn=function(t){return this.clone().inotn(t)},s.prototype.setn=function(t,e){i("number"==typeof t&&t>=0);var r=t/26|0,n=t%26;return this._expand(r+1),this.words[r]=e?this.words[r]|1<<n:this.words[r]&~(1<<n),this.strip()},s.prototype.iadd=function(t){var e,r,n;if(0!==this.negative&&0===t.negative)return this.negative=0,e=this.isub(t),this.negative^=1,this._normSign();if(0===this.negative&&0!==t.negative)return t.negative=0,e=this.isub(t),t.negative=1,e._normSign();this.length>t.length?(r=this,n=t):(r=t,n=this);for(var i=0,o=0;o<n.length;o++)e=(0|r.words[o])+(0|n.words[o])+i,this.words[o]=67108863&e,i=e>>>26;for(;0!==i&&o<r.length;o++)e=(0|r.words[o])+i,this.words[o]=67108863&e,i=e>>>26;if(this.length=r.length,0!==i)this.words[this.length]=i,this.length++;else if(r!==this)for(;o<r.length;o++)this.words[o]=r.words[o];return this},s.prototype.add=function(t){var e;return 0!==t.negative&&0===this.negative?(t.negative=0,e=this.sub(t),t.negative^=1,e):0===t.negative&&0!==this.negative?(this.negative=0,e=t.sub(this),this.negative=1,e):this.length>t.length?this.clone().iadd(t):t.clone().iadd(this)},s.prototype.isub=function(t){if(0!==t.negative){t.negative=0;var e=this.iadd(t);return t.negative=1,e._normSign()}if(0!==this.negative)return this.negative=0,this.iadd(t),this.negative=1,this._normSign();var r,n,i=this.cmp(t);if(0===i)return this.negative=0,this.length=1,this.words[0]=0,this;i>0?(r=this,n=t):(r=t,n=this);for(var o=0,s=0;s<n.length;s++)o=(e=(0|r.words[s])-(0|n.words[s])+o)>>26,this.words[s]=67108863&e;for(;0!==o&&s<r.length;s++)o=(e=(0|r.words[s])+o)>>26,this.words[s]=67108863&e;if(0===o&&s<r.length&&r!==this)for(;s<r.length;s++)this.words[s]=r.words[s];return this.length=Math.max(this.length,s),r!==this&&(this.negative=1),this.strip()},s.prototype.sub=function(t){return this.clone().isub(t)};var y=function(t,e,r){var n,i,o,s=t.words,a=e.words,u=r.words,h=0,f=0|s[0],c=8191&f,l=f>>>13,d=0|s[1],p=8191&d,y=d>>>13,m=0|s[2],b=8191&m,v=m>>>13,g=0|s[3],w=8191&g,_=g>>>13,M=0|s[4],S=8191&M,O=M>>>13,A=0|s[5],E=8191&A,x=A>>>13,k=0|s[6],j=8191&k,$=k>>>13,P=0|s[7],R=8191&P,B=P>>>13,T=0|s[8],I=8191&T,N=T>>>13,D=0|s[9],C=8191&D,L=D>>>13,q=0|a[0],U=8191&q,F=q>>>13,z=0|a[1],V=8191&z,K=z>>>13,H=0|a[2],Z=8191&H,W=H>>>13,J=0|a[3],Y=8191&J,Q=J>>>13,G=0|a[4],X=8191&G,tt=G>>>13,et=0|a[5],rt=8191&et,nt=et>>>13,it=0|a[6],ot=8191&it,st=it>>>13,at=0|a[7],ut=8191&at,ht=at>>>13,ft=0|a[8],ct=8191&ft,lt=ft>>>13,dt=0|a[9],pt=8191&dt,yt=dt>>>13;r.negative=t.negative^e.negative,r.length=19;var mt=(h+(n=Math.imul(c,U))|0)+((8191&(i=(i=Math.imul(c,F))+Math.imul(l,U)|0))<<13)|0;h=((o=Math.imul(l,F))+(i>>>13)|0)+(mt>>>26)|0,mt&=67108863,n=Math.imul(p,U),i=(i=Math.imul(p,F))+Math.imul(y,U)|0,o=Math.imul(y,F);var bt=(h+(n=n+Math.imul(c,V)|0)|0)+((8191&(i=(i=i+Math.imul(c,K)|0)+Math.imul(l,V)|0))<<13)|0;h=((o=o+Math.imul(l,K)|0)+(i>>>13)|0)+(bt>>>26)|0,bt&=67108863,n=Math.imul(b,U),i=(i=Math.imul(b,F))+Math.imul(v,U)|0,o=Math.imul(v,F),n=n+Math.imul(p,V)|0,i=(i=i+Math.imul(p,K)|0)+Math.imul(y,V)|0,o=o+Math.imul(y,K)|0;var vt=(h+(n=n+Math.imul(c,Z)|0)|0)+((8191&(i=(i=i+Math.imul(c,W)|0)+Math.imul(l,Z)|0))<<13)|0;h=((o=o+Math.imul(l,W)|0)+(i>>>13)|0)+(vt>>>26)|0,vt&=67108863,n=Math.imul(w,U),i=(i=Math.imul(w,F))+Math.imul(_,U)|0,o=Math.imul(_,F),n=n+Math.imul(b,V)|0,i=(i=i+Math.imul(b,K)|0)+Math.imul(v,V)|0,o=o+Math.imul(v,K)|0,n=n+Math.imul(p,Z)|0,i=(i=i+Math.imul(p,W)|0)+Math.imul(y,Z)|0,o=o+Math.imul(y,W)|0;var gt=(h+(n=n+Math.imul(c,Y)|0)|0)+((8191&(i=(i=i+Math.imul(c,Q)|0)+Math.imul(l,Y)|0))<<13)|0;h=((o=o+Math.imul(l,Q)|0)+(i>>>13)|0)+(gt>>>26)|0,gt&=67108863,n=Math.imul(S,U),i=(i=Math.imul(S,F))+Math.imul(O,U)|0,o=Math.imul(O,F),n=n+Math.imul(w,V)|0,i=(i=i+Math.imul(w,K)|0)+Math.imul(_,V)|0,o=o+Math.imul(_,K)|0,n=n+Math.imul(b,Z)|0,i=(i=i+Math.imul(b,W)|0)+Math.imul(v,Z)|0,o=o+Math.imul(v,W)|0,n=n+Math.imul(p,Y)|0,i=(i=i+Math.imul(p,Q)|0)+Math.imul(y,Y)|0,o=o+Math.imul(y,Q)|0;var wt=(h+(n=n+Math.imul(c,X)|0)|0)+((8191&(i=(i=i+Math.imul(c,tt)|0)+Math.imul(l,X)|0))<<13)|0;h=((o=o+Math.imul(l,tt)|0)+(i>>>13)|0)+(wt>>>26)|0,wt&=67108863,n=Math.imul(E,U),i=(i=Math.imul(E,F))+Math.imul(x,U)|0,o=Math.imul(x,F),n=n+Math.imul(S,V)|0,i=(i=i+Math.imul(S,K)|0)+Math.imul(O,V)|0,o=o+Math.imul(O,K)|0,n=n+Math.imul(w,Z)|0,i=(i=i+Math.imul(w,W)|0)+Math.imul(_,Z)|0,o=o+Math.imul(_,W)|0,n=n+Math.imul(b,Y)|0,i=(i=i+Math.imul(b,Q)|0)+Math.imul(v,Y)|0,o=o+Math.imul(v,Q)|0,n=n+Math.imul(p,X)|0,i=(i=i+Math.imul(p,tt)|0)+Math.imul(y,X)|0,o=o+Math.imul(y,tt)|0;var _t=(h+(n=n+Math.imul(c,rt)|0)|0)+((8191&(i=(i=i+Math.imul(c,nt)|0)+Math.imul(l,rt)|0))<<13)|0;h=((o=o+Math.imul(l,nt)|0)+(i>>>13)|0)+(_t>>>26)|0,_t&=67108863,n=Math.imul(j,U),i=(i=Math.imul(j,F))+Math.imul($,U)|0,o=Math.imul($,F),n=n+Math.imul(E,V)|0,i=(i=i+Math.imul(E,K)|0)+Math.imul(x,V)|0,o=o+Math.imul(x,K)|0,n=n+Math.imul(S,Z)|0,i=(i=i+Math.imul(S,W)|0)+Math.imul(O,Z)|0,o=o+Math.imul(O,W)|0,n=n+Math.imul(w,Y)|0,i=(i=i+Math.imul(w,Q)|0)+Math.imul(_,Y)|0,o=o+Math.imul(_,Q)|0,n=n+Math.imul(b,X)|0,i=(i=i+Math.imul(b,tt)|0)+Math.imul(v,X)|0,o=o+Math.imul(v,tt)|0,n=n+Math.imul(p,rt)|0,i=(i=i+Math.imul(p,nt)|0)+Math.imul(y,rt)|0,o=o+Math.imul(y,nt)|0;var Mt=(h+(n=n+Math.imul(c,ot)|0)|0)+((8191&(i=(i=i+Math.imul(c,st)|0)+Math.imul(l,ot)|0))<<13)|0;h=((o=o+Math.imul(l,st)|0)+(i>>>13)|0)+(Mt>>>26)|0,Mt&=67108863,n=Math.imul(R,U),i=(i=Math.imul(R,F))+Math.imul(B,U)|0,o=Math.imul(B,F),n=n+Math.imul(j,V)|0,i=(i=i+Math.imul(j,K)|0)+Math.imul($,V)|0,o=o+Math.imul($,K)|0,n=n+Math.imul(E,Z)|0,i=(i=i+Math.imul(E,W)|0)+Math.imul(x,Z)|0,o=o+Math.imul(x,W)|0,n=n+Math.imul(S,Y)|0,i=(i=i+Math.imul(S,Q)|0)+Math.imul(O,Y)|0,o=o+Math.imul(O,Q)|0,n=n+Math.imul(w,X)|0,i=(i=i+Math.imul(w,tt)|0)+Math.imul(_,X)|0,o=o+Math.imul(_,tt)|0,n=n+Math.imul(b,rt)|0,i=(i=i+Math.imul(b,nt)|0)+Math.imul(v,rt)|0,o=o+Math.imul(v,nt)|0,n=n+Math.imul(p,ot)|0,i=(i=i+Math.imul(p,st)|0)+Math.imul(y,ot)|0,o=o+Math.imul(y,st)|0;var St=(h+(n=n+Math.imul(c,ut)|0)|0)+((8191&(i=(i=i+Math.imul(c,ht)|0)+Math.imul(l,ut)|0))<<13)|0;h=((o=o+Math.imul(l,ht)|0)+(i>>>13)|0)+(St>>>26)|0,St&=67108863,n=Math.imul(I,U),i=(i=Math.imul(I,F))+Math.imul(N,U)|0,o=Math.imul(N,F),n=n+Math.imul(R,V)|0,i=(i=i+Math.imul(R,K)|0)+Math.imul(B,V)|0,o=o+Math.imul(B,K)|0,n=n+Math.imul(j,Z)|0,i=(i=i+Math.imul(j,W)|0)+Math.imul($,Z)|0,o=o+Math.imul($,W)|0,n=n+Math.imul(E,Y)|0,i=(i=i+Math.imul(E,Q)|0)+Math.imul(x,Y)|0,o=o+Math.imul(x,Q)|0,n=n+Math.imul(S,X)|0,i=(i=i+Math.imul(S,tt)|0)+Math.imul(O,X)|0,o=o+Math.imul(O,tt)|0,n=n+Math.imul(w,rt)|0,i=(i=i+Math.imul(w,nt)|0)+Math.imul(_,rt)|0,o=o+Math.imul(_,nt)|0,n=n+Math.imul(b,ot)|0,i=(i=i+Math.imul(b,st)|0)+Math.imul(v,ot)|0,o=o+Math.imul(v,st)|0,n=n+Math.imul(p,ut)|0,i=(i=i+Math.imul(p,ht)|0)+Math.imul(y,ut)|0,o=o+Math.imul(y,ht)|0;var Ot=(h+(n=n+Math.imul(c,ct)|0)|0)+((8191&(i=(i=i+Math.imul(c,lt)|0)+Math.imul(l,ct)|0))<<13)|0;h=((o=o+Math.imul(l,lt)|0)+(i>>>13)|0)+(Ot>>>26)|0,Ot&=67108863,n=Math.imul(C,U),i=(i=Math.imul(C,F))+Math.imul(L,U)|0,o=Math.imul(L,F),n=n+Math.imul(I,V)|0,i=(i=i+Math.imul(I,K)|0)+Math.imul(N,V)|0,o=o+Math.imul(N,K)|0,n=n+Math.imul(R,Z)|0,i=(i=i+Math.imul(R,W)|0)+Math.imul(B,Z)|0,o=o+Math.imul(B,W)|0,n=n+Math.imul(j,Y)|0,i=(i=i+Math.imul(j,Q)|0)+Math.imul($,Y)|0,o=o+Math.imul($,Q)|0,n=n+Math.imul(E,X)|0,i=(i=i+Math.imul(E,tt)|0)+Math.imul(x,X)|0,o=o+Math.imul(x,tt)|0,n=n+Math.imul(S,rt)|0,i=(i=i+Math.imul(S,nt)|0)+Math.imul(O,rt)|0,o=o+Math.imul(O,nt)|0,n=n+Math.imul(w,ot)|0,i=(i=i+Math.imul(w,st)|0)+Math.imul(_,ot)|0,o=o+Math.imul(_,st)|0,n=n+Math.imul(b,ut)|0,i=(i=i+Math.imul(b,ht)|0)+Math.imul(v,ut)|0,o=o+Math.imul(v,ht)|0,n=n+Math.imul(p,ct)|0,i=(i=i+Math.imul(p,lt)|0)+Math.imul(y,ct)|0,o=o+Math.imul(y,lt)|0;var At=(h+(n=n+Math.imul(c,pt)|0)|0)+((8191&(i=(i=i+Math.imul(c,yt)|0)+Math.imul(l,pt)|0))<<13)|0;h=((o=o+Math.imul(l,yt)|0)+(i>>>13)|0)+(At>>>26)|0,At&=67108863,n=Math.imul(C,V),i=(i=Math.imul(C,K))+Math.imul(L,V)|0,o=Math.imul(L,K),n=n+Math.imul(I,Z)|0,i=(i=i+Math.imul(I,W)|0)+Math.imul(N,Z)|0,o=o+Math.imul(N,W)|0,n=n+Math.imul(R,Y)|0,i=(i=i+Math.imul(R,Q)|0)+Math.imul(B,Y)|0,o=o+Math.imul(B,Q)|0,n=n+Math.imul(j,X)|0,i=(i=i+Math.imul(j,tt)|0)+Math.imul($,X)|0,o=o+Math.imul($,tt)|0,n=n+Math.imul(E,rt)|0,i=(i=i+Math.imul(E,nt)|0)+Math.imul(x,rt)|0,o=o+Math.imul(x,nt)|0,n=n+Math.imul(S,ot)|0,i=(i=i+Math.imul(S,st)|0)+Math.imul(O,ot)|0,o=o+Math.imul(O,st)|0,n=n+Math.imul(w,ut)|0,i=(i=i+Math.imul(w,ht)|0)+Math.imul(_,ut)|0,o=o+Math.imul(_,ht)|0,n=n+Math.imul(b,ct)|0,i=(i=i+Math.imul(b,lt)|0)+Math.imul(v,ct)|0,o=o+Math.imul(v,lt)|0;var Et=(h+(n=n+Math.imul(p,pt)|0)|0)+((8191&(i=(i=i+Math.imul(p,yt)|0)+Math.imul(y,pt)|0))<<13)|0;h=((o=o+Math.imul(y,yt)|0)+(i>>>13)|0)+(Et>>>26)|0,Et&=67108863,n=Math.imul(C,Z),i=(i=Math.imul(C,W))+Math.imul(L,Z)|0,o=Math.imul(L,W),n=n+Math.imul(I,Y)|0,i=(i=i+Math.imul(I,Q)|0)+Math.imul(N,Y)|0,o=o+Math.imul(N,Q)|0,n=n+Math.imul(R,X)|0,i=(i=i+Math.imul(R,tt)|0)+Math.imul(B,X)|0,o=o+Math.imul(B,tt)|0,n=n+Math.imul(j,rt)|0,i=(i=i+Math.imul(j,nt)|0)+Math.imul($,rt)|0,o=o+Math.imul($,nt)|0,n=n+Math.imul(E,ot)|0,i=(i=i+Math.imul(E,st)|0)+Math.imul(x,ot)|0,o=o+Math.imul(x,st)|0,n=n+Math.imul(S,ut)|0,i=(i=i+Math.imul(S,ht)|0)+Math.imul(O,ut)|0,o=o+Math.imul(O,ht)|0,n=n+Math.imul(w,ct)|0,i=(i=i+Math.imul(w,lt)|0)+Math.imul(_,ct)|0,o=o+Math.imul(_,lt)|0;var xt=(h+(n=n+Math.imul(b,pt)|0)|0)+((8191&(i=(i=i+Math.imul(b,yt)|0)+Math.imul(v,pt)|0))<<13)|0;h=((o=o+Math.imul(v,yt)|0)+(i>>>13)|0)+(xt>>>26)|0,xt&=67108863,n=Math.imul(C,Y),i=(i=Math.imul(C,Q))+Math.imul(L,Y)|0,o=Math.imul(L,Q),n=n+Math.imul(I,X)|0,i=(i=i+Math.imul(I,tt)|0)+Math.imul(N,X)|0,o=o+Math.imul(N,tt)|0,n=n+Math.imul(R,rt)|0,i=(i=i+Math.imul(R,nt)|0)+Math.imul(B,rt)|0,o=o+Math.imul(B,nt)|0,n=n+Math.imul(j,ot)|0,i=(i=i+Math.imul(j,st)|0)+Math.imul($,ot)|0,o=o+Math.imul($,st)|0,n=n+Math.imul(E,ut)|0,i=(i=i+Math.imul(E,ht)|0)+Math.imul(x,ut)|0,o=o+Math.imul(x,ht)|0,n=n+Math.imul(S,ct)|0,i=(i=i+Math.imul(S,lt)|0)+Math.imul(O,ct)|0,o=o+Math.imul(O,lt)|0;var kt=(h+(n=n+Math.imul(w,pt)|0)|0)+((8191&(i=(i=i+Math.imul(w,yt)|0)+Math.imul(_,pt)|0))<<13)|0;h=((o=o+Math.imul(_,yt)|0)+(i>>>13)|0)+(kt>>>26)|0,kt&=67108863,n=Math.imul(C,X),i=(i=Math.imul(C,tt))+Math.imul(L,X)|0,o=Math.imul(L,tt),n=n+Math.imul(I,rt)|0,i=(i=i+Math.imul(I,nt)|0)+Math.imul(N,rt)|0,o=o+Math.imul(N,nt)|0,n=n+Math.imul(R,ot)|0,i=(i=i+Math.imul(R,st)|0)+Math.imul(B,ot)|0,o=o+Math.imul(B,st)|0,n=n+Math.imul(j,ut)|0,i=(i=i+Math.imul(j,ht)|0)+Math.imul($,ut)|0,o=o+Math.imul($,ht)|0,n=n+Math.imul(E,ct)|0,i=(i=i+Math.imul(E,lt)|0)+Math.imul(x,ct)|0,o=o+Math.imul(x,lt)|0;var jt=(h+(n=n+Math.imul(S,pt)|0)|0)+((8191&(i=(i=i+Math.imul(S,yt)|0)+Math.imul(O,pt)|0))<<13)|0;h=((o=o+Math.imul(O,yt)|0)+(i>>>13)|0)+(jt>>>26)|0,jt&=67108863,n=Math.imul(C,rt),i=(i=Math.imul(C,nt))+Math.imul(L,rt)|0,o=Math.imul(L,nt),n=n+Math.imul(I,ot)|0,i=(i=i+Math.imul(I,st)|0)+Math.imul(N,ot)|0,o=o+Math.imul(N,st)|0,n=n+Math.imul(R,ut)|0,i=(i=i+Math.imul(R,ht)|0)+Math.imul(B,ut)|0,o=o+Math.imul(B,ht)|0,n=n+Math.imul(j,ct)|0,i=(i=i+Math.imul(j,lt)|0)+Math.imul($,ct)|0,o=o+Math.imul($,lt)|0;var $t=(h+(n=n+Math.imul(E,pt)|0)|0)+((8191&(i=(i=i+Math.imul(E,yt)|0)+Math.imul(x,pt)|0))<<13)|0;h=((o=o+Math.imul(x,yt)|0)+(i>>>13)|0)+($t>>>26)|0,$t&=67108863,n=Math.imul(C,ot),i=(i=Math.imul(C,st))+Math.imul(L,ot)|0,o=Math.imul(L,st),n=n+Math.imul(I,ut)|0,i=(i=i+Math.imul(I,ht)|0)+Math.imul(N,ut)|0,o=o+Math.imul(N,ht)|0,n=n+Math.imul(R,ct)|0,i=(i=i+Math.imul(R,lt)|0)+Math.imul(B,ct)|0,o=o+Math.imul(B,lt)|0;var Pt=(h+(n=n+Math.imul(j,pt)|0)|0)+((8191&(i=(i=i+Math.imul(j,yt)|0)+Math.imul($,pt)|0))<<13)|0;h=((o=o+Math.imul($,yt)|0)+(i>>>13)|0)+(Pt>>>26)|0,Pt&=67108863,n=Math.imul(C,ut),i=(i=Math.imul(C,ht))+Math.imul(L,ut)|0,o=Math.imul(L,ht),n=n+Math.imul(I,ct)|0,i=(i=i+Math.imul(I,lt)|0)+Math.imul(N,ct)|0,o=o+Math.imul(N,lt)|0;var Rt=(h+(n=n+Math.imul(R,pt)|0)|0)+((8191&(i=(i=i+Math.imul(R,yt)|0)+Math.imul(B,pt)|0))<<13)|0;h=((o=o+Math.imul(B,yt)|0)+(i>>>13)|0)+(Rt>>>26)|0,Rt&=67108863,n=Math.imul(C,ct),i=(i=Math.imul(C,lt))+Math.imul(L,ct)|0,o=Math.imul(L,lt);var Bt=(h+(n=n+Math.imul(I,pt)|0)|0)+((8191&(i=(i=i+Math.imul(I,yt)|0)+Math.imul(N,pt)|0))<<13)|0;h=((o=o+Math.imul(N,yt)|0)+(i>>>13)|0)+(Bt>>>26)|0,Bt&=67108863;var Tt=(h+(n=Math.imul(C,pt))|0)+((8191&(i=(i=Math.imul(C,yt))+Math.imul(L,pt)|0))<<13)|0;return h=((o=Math.imul(L,yt))+(i>>>13)|0)+(Tt>>>26)|0,Tt&=67108863,u[0]=mt,u[1]=bt,u[2]=vt,u[3]=gt,u[4]=wt,u[5]=_t,u[6]=Mt,u[7]=St,u[8]=Ot,u[9]=At,u[10]=Et,u[11]=xt,u[12]=kt,u[13]=jt,u[14]=$t,u[15]=Pt,u[16]=Rt,u[17]=Bt,u[18]=Tt,0!==h&&(u[19]=h,r.length++),r};function m(t,e,r){return(new b).mulp(t,e,r)}function b(t,e){this.x=t,this.y=e}Math.imul||(y=p),s.prototype.mulTo=function(t,e){var r=this.length+t.length;return 10===this.length&&10===t.length?y(this,t,e):r<63?p(this,t,e):r<1024?function(t,e,r){r.negative=e.negative^t.negative,r.length=t.length+e.length;for(var n=0,i=0,o=0;o<r.length-1;o++){var s=i;i=0;for(var a=67108863&n,u=Math.min(o,e.length-1),h=Math.max(0,o-t.length+1);h<=u;h++){var f=o-h,c=(0|t.words[f])*(0|e.words[h]),l=67108863&c;a=67108863&(l=l+a|0),i+=(s=(s=s+(c/67108864|0)|0)+(l>>>26)|0)>>>26,s&=67108863}r.words[o]=a,n=s,s=i}return 0!==n?r.words[o]=n:r.length--,r.strip()}(this,t,e):m(this,t,e)},b.prototype.makeRBT=function(t){for(var e=new Array(t),r=s.prototype._countBits(t)-1,n=0;n<t;n++)e[n]=this.revBin(n,r,t);return e},b.prototype.revBin=function(t,e,r){if(0===t||t===r-1)return t;for(var n=0,i=0;i<e;i++)n|=(1&t)<<e-i-1,t>>=1;return n},b.prototype.permute=function(t,e,r,n,i,o){for(var s=0;s<o;s++)n[s]=e[t[s]],i[s]=r[t[s]]},b.prototype.transform=function(t,e,r,n,i,o){this.permute(o,t,e,r,n,i);for(var s=1;s<i;s<<=1)for(var a=s<<1,u=Math.cos(2*Math.PI/a),h=Math.sin(2*Math.PI/a),f=0;f<i;f+=a)for(var c=u,l=h,d=0;d<s;d++){var p=r[f+d],y=n[f+d],m=r[f+d+s],b=n[f+d+s],v=c*m-l*b;b=c*b+l*m,m=v,r[f+d]=p+m,n[f+d]=y+b,r[f+d+s]=p-m,n[f+d+s]=y-b,d!==a&&(v=u*c-h*l,l=u*l+h*c,c=v)}},b.prototype.guessLen13b=function(t,e){var r=1|Math.max(e,t),n=1&r,i=0;for(r=r/2|0;r;r>>>=1)i++;return 1<<i+1+n},b.prototype.conjugate=function(t,e,r){if(!(r<=1))for(var n=0;n<r/2;n++){var i=t[n];t[n]=t[r-n-1],t[r-n-1]=i,i=e[n],e[n]=-e[r-n-1],e[r-n-1]=-i}},b.prototype.normalize13b=function(t,e){for(var r=0,n=0;n<e/2;n++){var i=8192*Math.round(t[2*n+1]/e)+Math.round(t[2*n]/e)+r;t[n]=67108863&i,r=i<67108864?0:i/67108864|0}return t},b.prototype.convert13b=function(t,e,r,n){for(var o=0,s=0;s<e;s++)o+=0|t[s],r[2*s]=8191&o,o>>>=13,r[2*s+1]=8191&o,o>>>=13;for(s=2*e;s<n;++s)r[s]=0;i(0===o),i(0==(-8192&o))},b.prototype.stub=function(t){for(var e=new Array(t),r=0;r<t;r++)e[r]=0;return e},b.prototype.mulp=function(t,e,r){var n=2*this.guessLen13b(t.length,e.length),i=this.makeRBT(n),o=this.stub(n),s=new Array(n),a=new Array(n),u=new Array(n),h=new Array(n),f=new Array(n),c=new Array(n),l=r.words;l.length=n,this.convert13b(t.words,t.length,s,n),this.convert13b(e.words,e.length,h,n),this.transform(s,o,a,u,n,i),this.transform(h,o,f,c,n,i);for(var d=0;d<n;d++){var p=a[d]*f[d]-u[d]*c[d];u[d]=a[d]*c[d]+u[d]*f[d],a[d]=p}return this.conjugate(a,u,n),this.transform(a,u,l,o,n,i),this.conjugate(l,o,n),this.normalize13b(l,n),r.negative=t.negative^e.negative,r.length=t.length+e.length,r.strip()},s.prototype.mul=function(t){var e=new s(null);return e.words=new Array(this.length+t.length),this.mulTo(t,e)},s.prototype.mulf=function(t){var e=new s(null);return e.words=new Array(this.length+t.length),m(this,t,e)},s.prototype.imul=function(t){return this.clone().mulTo(t,this)},s.prototype.imuln=function(t){i("number"==typeof t),i(t<67108864);for(var e=0,r=0;r<this.length;r++){var n=(0|this.words[r])*t,o=(67108863&n)+(67108863&e);e>>=26,e+=n/67108864|0,e+=o>>>26,this.words[r]=67108863&o}return 0!==e&&(this.words[r]=e,this.length++),this},s.prototype.muln=function(t){return this.clone().imuln(t)},s.prototype.sqr=function(){return this.mul(this)},s.prototype.isqr=function(){return this.imul(this.clone())},s.prototype.pow=function(t){var e=function(t){for(var e=new Array(t.bitLength()),r=0;r<e.length;r++){var n=r/26|0,i=r%26;e[r]=(t.words[n]&1<<i)>>>i}return e}(t);if(0===e.length)return new s(1);for(var r=this,n=0;n<e.length&&0===e[n];n++,r=r.sqr());if(++n<e.length)for(var i=r.sqr();n<e.length;n++,i=i.sqr())0!==e[n]&&(r=r.mul(i));return r},s.prototype.iushln=function(t){i("number"==typeof t&&t>=0);var e,r=t%26,n=(t-r)/26,o=67108863>>>26-r<<26-r;if(0!==r){var s=0;for(e=0;e<this.length;e++){var a=this.words[e]&o,u=(0|this.words[e])-a<<r;this.words[e]=u|s,s=a>>>26-r}s&&(this.words[e]=s,this.length++)}if(0!==n){for(e=this.length-1;e>=0;e--)this.words[e+n]=this.words[e];for(e=0;e<n;e++)this.words[e]=0;this.length+=n}return this.strip()},s.prototype.ishln=function(t){return i(0===this.negative),this.iushln(t)},s.prototype.iushrn=function(t,e,r){var n;i("number"==typeof t&&t>=0),n=e?(e-e%26)/26:0;var o=t%26,s=Math.min((t-o)/26,this.length),a=67108863^67108863>>>o<<o,u=r;if(n-=s,n=Math.max(0,n),u){for(var h=0;h<s;h++)u.words[h]=this.words[h];u.length=s}if(0===s);else if(this.length>s)for(this.length-=s,h=0;h<this.length;h++)this.words[h]=this.words[h+s];else this.words[0]=0,this.length=1;var f=0;for(h=this.length-1;h>=0&&(0!==f||h>=n);h--){var c=0|this.words[h];this.words[h]=f<<26-o|c>>>o,f=c&a}return u&&0!==f&&(u.words[u.length++]=f),0===this.length&&(this.words[0]=0,this.length=1),this.strip()},s.prototype.ishrn=function(t,e,r){return i(0===this.negative),this.iushrn(t,e,r)},s.prototype.shln=function(t){return this.clone().ishln(t)},s.prototype.ushln=function(t){return this.clone().iushln(t)},s.prototype.shrn=function(t){return this.clone().ishrn(t)},s.prototype.ushrn=function(t){return this.clone().iushrn(t)},s.prototype.testn=function(t){i("number"==typeof t&&t>=0);var e=t%26,r=(t-e)/26,n=1<<e;return!(this.length<=r)&&!!(this.words[r]&n)},s.prototype.imaskn=function(t){i("number"==typeof t&&t>=0);var e=t%26,r=(t-e)/26;if(i(0===this.negative,"imaskn works only with positive numbers"),this.length<=r)return this;if(0!==e&&r++,this.length=Math.min(r,this.length),0!==e){var n=67108863^67108863>>>e<<e;this.words[this.length-1]&=n}return this.strip()},s.prototype.maskn=function(t){return this.clone().imaskn(t)},s.prototype.iaddn=function(t){return i("number"==typeof t),i(t<67108864),t<0?this.isubn(-t):0!==this.negative?1===this.length&&(0|this.words[0])<t?(this.words[0]=t-(0|this.words[0]),this.negative=0,this):(this.negative=0,this.isubn(t),this.negative=1,this):this._iaddn(t)},s.prototype._iaddn=function(t){this.words[0]+=t;for(var e=0;e<this.length&&this.words[e]>=67108864;e++)this.words[e]-=67108864,e===this.length-1?this.words[e+1]=1:this.words[e+1]++;return this.length=Math.max(this.length,e+1),this},s.prototype.isubn=function(t){if(i("number"==typeof t),i(t<67108864),t<0)return this.iaddn(-t);if(0!==this.negative)return this.negative=0,this.iaddn(t),this.negative=1,this;if(this.words[0]-=t,1===this.length&&this.words[0]<0)this.words[0]=-this.words[0],this.negative=1;else for(var e=0;e<this.length&&this.words[e]<0;e++)this.words[e]+=67108864,this.words[e+1]-=1;return this.strip()},s.prototype.addn=function(t){return this.clone().iaddn(t)},s.prototype.subn=function(t){return this.clone().isubn(t)},s.prototype.iabs=function(){return this.negative=0,this},s.prototype.abs=function(){return this.clone().iabs()},s.prototype._ishlnsubmul=function(t,e,r){var n,o,s=t.length+r;this._expand(s);var a=0;for(n=0;n<t.length;n++){o=(0|this.words[n+r])+a;var u=(0|t.words[n])*e;a=((o-=67108863&u)>>26)-(u/67108864|0),this.words[n+r]=67108863&o}for(;n<this.length-r;n++)a=(o=(0|this.words[n+r])+a)>>26,this.words[n+r]=67108863&o;if(0===a)return this.strip();for(i(-1===a),a=0,n=0;n<this.length;n++)a=(o=-(0|this.words[n])+a)>>26,this.words[n]=67108863&o;return this.negative=1,this.strip()},s.prototype._wordDiv=function(t,e){var r=(this.length,t.length),n=this.clone(),i=t,o=0|i.words[i.length-1];0!==(r=26-this._countBits(o))&&(i=i.ushln(r),n.iushln(r),o=0|i.words[i.length-1]);var a,u=n.length-i.length;if("mod"!==e){(a=new s(null)).length=u+1,a.words=new Array(a.length);for(var h=0;h<a.length;h++)a.words[h]=0}var f=n.clone()._ishlnsubmul(i,1,u);0===f.negative&&(n=f,a&&(a.words[u]=1));for(var c=u-1;c>=0;c--){var l=67108864*(0|n.words[i.length+c])+(0|n.words[i.length+c-1]);for(l=Math.min(l/o|0,67108863),n._ishlnsubmul(i,l,c);0!==n.negative;)l--,n.negative=0,n._ishlnsubmul(i,1,c),n.isZero()||(n.negative^=1);a&&(a.words[c]=l)}return a&&a.strip(),n.strip(),"div"!==e&&0!==r&&n.iushrn(r),{div:a||null,mod:n}},s.prototype.divmod=function(t,e,r){return i(!t.isZero()),this.isZero()?{div:new s(0),mod:new s(0)}:0!==this.negative&&0===t.negative?(a=this.neg().divmod(t,e),"mod"!==e&&(n=a.div.neg()),"div"!==e&&(o=a.mod.neg(),r&&0!==o.negative&&o.iadd(t)),{div:n,mod:o}):0===this.negative&&0!==t.negative?(a=this.divmod(t.neg(),e),"mod"!==e&&(n=a.div.neg()),{div:n,mod:a.mod}):0!=(this.negative&t.negative)?(a=this.neg().divmod(t.neg(),e),"div"!==e&&(o=a.mod.neg(),r&&0!==o.negative&&o.isub(t)),{div:a.div,mod:o}):t.length>this.length||this.cmp(t)<0?{div:new s(0),mod:this}:1===t.length?"div"===e?{div:this.divn(t.words[0]),mod:null}:"mod"===e?{div:null,mod:new s(this.modn(t.words[0]))}:{div:this.divn(t.words[0]),mod:new s(this.modn(t.words[0]))}:this._wordDiv(t,e);var n,o,a},s.prototype.div=function(t){return this.divmod(t,"div",!1).div},s.prototype.mod=function(t){return this.divmod(t,"mod",!1).mod},s.prototype.umod=function(t){return this.divmod(t,"mod",!0).mod},s.prototype.divRound=function(t){var e=this.divmod(t);if(e.mod.isZero())return e.div;var r=0!==e.div.negative?e.mod.isub(t):e.mod,n=t.ushrn(1),i=t.andln(1),o=r.cmp(n);return o<0||1===i&&0===o?e.div:0!==e.div.negative?e.div.isubn(1):e.div.iaddn(1)},s.prototype.modn=function(t){i(t<=67108863);for(var e=(1<<26)%t,r=0,n=this.length-1;n>=0;n--)r=(e*r+(0|this.words[n]))%t;return r},s.prototype.idivn=function(t){i(t<=67108863);for(var e=0,r=this.length-1;r>=0;r--){var n=(0|this.words[r])+67108864*e;this.words[r]=n/t|0,e=n%t}return this.strip()},s.prototype.divn=function(t){return this.clone().idivn(t)},s.prototype.egcd=function(t){i(0===t.negative),i(!t.isZero());var e=this,r=t.clone();e=0!==e.negative?e.umod(t):e.clone();for(var n=new s(1),o=new s(0),a=new s(0),u=new s(1),h=0;e.isEven()&&r.isEven();)e.iushrn(1),r.iushrn(1),++h;for(var f=r.clone(),c=e.clone();!e.isZero();){for(var l=0,d=1;0==(e.words[0]&d)&&l<26;++l,d<<=1);if(l>0)for(e.iushrn(l);l-- >0;)(n.isOdd()||o.isOdd())&&(n.iadd(f),o.isub(c)),n.iushrn(1),o.iushrn(1);for(var p=0,y=1;0==(r.words[0]&y)&&p<26;++p,y<<=1);if(p>0)for(r.iushrn(p);p-- >0;)(a.isOdd()||u.isOdd())&&(a.iadd(f),u.isub(c)),a.iushrn(1),u.iushrn(1);e.cmp(r)>=0?(e.isub(r),n.isub(a),o.isub(u)):(r.isub(e),a.isub(n),u.isub(o))}return{a:a,b:u,gcd:r.iushln(h)}},s.prototype._invmp=function(t){i(0===t.negative),i(!t.isZero());var e=this,r=t.clone();e=0!==e.negative?e.umod(t):e.clone();for(var n,o=new s(1),a=new s(0),u=r.clone();e.cmpn(1)>0&&r.cmpn(1)>0;){for(var h=0,f=1;0==(e.words[0]&f)&&h<26;++h,f<<=1);if(h>0)for(e.iushrn(h);h-- >0;)o.isOdd()&&o.iadd(u),o.iushrn(1);for(var c=0,l=1;0==(r.words[0]&l)&&c<26;++c,l<<=1);if(c>0)for(r.iushrn(c);c-- >0;)a.isOdd()&&a.iadd(u),a.iushrn(1);e.cmp(r)>=0?(e.isub(r),o.isub(a)):(r.isub(e),a.isub(o))}return(n=0===e.cmpn(1)?o:a).cmpn(0)<0&&n.iadd(t),n},s.prototype.gcd=function(t){if(this.isZero())return t.abs();if(t.isZero())return this.abs();var e=this.clone(),r=t.clone();e.negative=0,r.negative=0;for(var n=0;e.isEven()&&r.isEven();n++)e.iushrn(1),r.iushrn(1);for(;;){for(;e.isEven();)e.iushrn(1);for(;r.isEven();)r.iushrn(1);var i=e.cmp(r);if(i<0){var o=e;e=r,r=o}else if(0===i||0===r.cmpn(1))break;e.isub(r)}return r.iushln(n)},s.prototype.invm=function(t){return this.egcd(t).a.umod(t)},s.prototype.isEven=function(){return 0==(1&this.words[0])},s.prototype.isOdd=function(){return 1==(1&this.words[0])},s.prototype.andln=function(t){return this.words[0]&t},s.prototype.bincn=function(t){i("number"==typeof t);var e=t%26,r=(t-e)/26,n=1<<e;if(this.length<=r)return this._expand(r+1),this.words[r]|=n,this;for(var o=n,s=r;0!==o&&s<this.length;s++){var a=0|this.words[s];o=(a+=o)>>>26,a&=67108863,this.words[s]=a}return 0!==o&&(this.words[s]=o,this.length++),this},s.prototype.isZero=function(){return 1===this.length&&0===this.words[0]},s.prototype.cmpn=function(t){var e,r=t<0;if(0!==this.negative&&!r)return-1;if(0===this.negative&&r)return 1;if(this.strip(),this.length>1)e=1;else{r&&(t=-t),i(t<=67108863,"Number is too big");var n=0|this.words[0];e=n===t?0:n<t?-1:1}return 0!==this.negative?0|-e:e},s.prototype.cmp=function(t){if(0!==this.negative&&0===t.negative)return-1;if(0===this.negative&&0!==t.negative)return 1;var e=this.ucmp(t);return 0!==this.negative?0|-e:e},s.prototype.ucmp=function(t){if(this.length>t.length)return 1;if(this.length<t.length)return-1;for(var e=0,r=this.length-1;r>=0;r--){var n=0|this.words[r],i=0|t.words[r];if(n!==i){n<i?e=-1:n>i&&(e=1);break}}return e},s.prototype.gtn=function(t){return 1===this.cmpn(t)},s.prototype.gt=function(t){return 1===this.cmp(t)},s.prototype.gten=function(t){return this.cmpn(t)>=0},s.prototype.gte=function(t){return this.cmp(t)>=0},s.prototype.ltn=function(t){return-1===this.cmpn(t)},s.prototype.lt=function(t){return-1===this.cmp(t)},s.prototype.lten=function(t){return this.cmpn(t)<=0},s.prototype.lte=function(t){return this.cmp(t)<=0},s.prototype.eqn=function(t){return 0===this.cmpn(t)},s.prototype.eq=function(t){return 0===this.cmp(t)},s.red=function(t){return new O(t)},s.prototype.toRed=function(t){return i(!this.red,"Already a number in reduction context"),i(0===this.negative,"red works only with positives"),t.convertTo(this)._forceRed(t)},s.prototype.fromRed=function(){return i(this.red,"fromRed works only with numbers in reduction context"),this.red.convertFrom(this)},s.prototype._forceRed=function(t){return this.red=t,this},s.prototype.forceRed=function(t){return i(!this.red,"Already a number in reduction context"),this._forceRed(t)},s.prototype.redAdd=function(t){return i(this.red,"redAdd works only with red numbers"),this.red.add(this,t)},s.prototype.redIAdd=function(t){return i(this.red,"redIAdd works only with red numbers"),this.red.iadd(this,t)},s.prototype.redSub=function(t){return i(this.red,"redSub works only with red numbers"),this.red.sub(this,t)},s.prototype.redISub=function(t){return i(this.red,"redISub works only with red numbers"),this.red.isub(this,t)},s.prototype.redShl=function(t){return i(this.red,"redShl works only with red numbers"),this.red.shl(this,t)},s.prototype.redMul=function(t){return i(this.red,"redMul works only with red numbers"),this.red._verify2(this,t),this.red.mul(this,t)},s.prototype.redIMul=function(t){return i(this.red,"redMul works only with red numbers"),this.red._verify2(this,t),this.red.imul(this,t)},s.prototype.redSqr=function(){return i(this.red,"redSqr works only with red numbers"),this.red._verify1(this),this.red.sqr(this)},s.prototype.redISqr=function(){return i(this.red,"redISqr works only with red numbers"),this.red._verify1(this),this.red.isqr(this)},s.prototype.redSqrt=function(){return i(this.red,"redSqrt works only with red numbers"),this.red._verify1(this),this.red.sqrt(this)},s.prototype.redInvm=function(){return i(this.red,"redInvm works only with red numbers"),this.red._verify1(this),this.red.invm(this)},s.prototype.redNeg=function(){return i(this.red,"redNeg works only with red numbers"),this.red._verify1(this),this.red.neg(this)},s.prototype.redPow=function(t){return i(this.red&&!t.red,"redPow(normalNum)"),this.red._verify1(this),this.red.pow(this,t)};var v={k256:null,p224:null,p192:null,p25519:null};function g(t,e){this.name=t,this.p=new s(e,16),this.n=this.p.bitLength(),this.k=new s(1).iushln(this.n).isub(this.p),this.tmp=this._tmp()}function w(){g.call(this,"k256","ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f")}function _(){g.call(this,"p224","ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001")}function M(){g.call(this,"p192","ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff")}function S(){g.call(this,"25519","7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed")}function O(t){if("string"==typeof t){var e=s._prime(t);this.m=e.p,this.prime=e}else i(t.gtn(1),"modulus must be greater than 1"),this.m=t,this.prime=null}function A(t){O.call(this,t),this.shift=this.m.bitLength(),this.shift%26!=0&&(this.shift+=26-this.shift%26),this.r=new s(1).iushln(this.shift),this.r2=this.imod(this.r.sqr()),this.rinv=this.r._invmp(this.m),this.minv=this.rinv.mul(this.r).isubn(1).div(this.m),this.minv=this.minv.umod(this.r),this.minv=this.r.sub(this.minv)}g.prototype._tmp=function(){var t=new s(null);return t.words=new Array(Math.ceil(this.n/13)),t},g.prototype.ireduce=function(t){var e,r=t;do{this.split(r,this.tmp),e=(r=(r=this.imulK(r)).iadd(this.tmp)).bitLength()}while(e>this.n);var n=e<this.n?-1:r.ucmp(this.p);return 0===n?(r.words[0]=0,r.length=1):n>0?r.isub(this.p):void 0!==r.strip?r.strip():r._strip(),r},g.prototype.split=function(t,e){t.iushrn(this.n,0,e)},g.prototype.imulK=function(t){return t.imul(this.k)},o(w,g),w.prototype.split=function(t,e){for(var r=Math.min(t.length,9),n=0;n<r;n++)e.words[n]=t.words[n];if(e.length=r,t.length<=9)return t.words[0]=0,void(t.length=1);var i=t.words[9];for(e.words[e.length++]=4194303&i,n=10;n<t.length;n++){var o=0|t.words[n];t.words[n-10]=(4194303&o)<<4|i>>>22,i=o}i>>>=22,t.words[n-10]=i,0===i&&t.length>10?t.length-=10:t.length-=9},w.prototype.imulK=function(t){t.words[t.length]=0,t.words[t.length+1]=0,t.length+=2;for(var e=0,r=0;r<t.length;r++){var n=0|t.words[r];e+=977*n,t.words[r]=67108863&e,e=64*n+(e/67108864|0)}return 0===t.words[t.length-1]&&(t.length--,0===t.words[t.length-1]&&t.length--),t},o(_,g),o(M,g),o(S,g),S.prototype.imulK=function(t){for(var e=0,r=0;r<t.length;r++){var n=19*(0|t.words[r])+e,i=67108863&n;n>>>=26,t.words[r]=i,e=n}return 0!==e&&(t.words[t.length++]=e),t},s._prime=function(t){if(v[t])return v[t];var e;if("k256"===t)e=new w;else if("p224"===t)e=new _;else if("p192"===t)e=new M;else{if("p25519"!==t)throw new Error("Unknown prime "+t);e=new S}return v[t]=e,e},O.prototype._verify1=function(t){i(0===t.negative,"red works only with positives"),i(t.red,"red works only with red numbers")},O.prototype._verify2=function(t,e){i(0==(t.negative|e.negative),"red works only with positives"),i(t.red&&t.red===e.red,"red works only with red numbers")},O.prototype.imod=function(t){return this.prime?this.prime.ireduce(t)._forceRed(this):t.umod(this.m)._forceRed(this)},O.prototype.neg=function(t){return t.isZero()?t.clone():this.m.sub(t)._forceRed(this)},O.prototype.add=function(t,e){this._verify2(t,e);var r=t.add(e);return r.cmp(this.m)>=0&&r.isub(this.m),r._forceRed(this)},O.prototype.iadd=function(t,e){this._verify2(t,e);var r=t.iadd(e);return r.cmp(this.m)>=0&&r.isub(this.m),r},O.prototype.sub=function(t,e){this._verify2(t,e);var r=t.sub(e);return r.cmpn(0)<0&&r.iadd(this.m),r._forceRed(this)},O.prototype.isub=function(t,e){this._verify2(t,e);var r=t.isub(e);return r.cmpn(0)<0&&r.iadd(this.m),r},O.prototype.shl=function(t,e){return this._verify1(t),this.imod(t.ushln(e))},O.prototype.imul=function(t,e){return this._verify2(t,e),this.imod(t.imul(e))},O.prototype.mul=function(t,e){return this._verify2(t,e),this.imod(t.mul(e))},O.prototype.isqr=function(t){return this.imul(t,t.clone())},O.prototype.sqr=function(t){return this.mul(t,t)},O.prototype.sqrt=function(t){if(t.isZero())return t.clone();var e=this.m.andln(3);if(i(e%2==1),3===e){var r=this.m.add(new s(1)).iushrn(2);return this.pow(t,r)}for(var n=this.m.subn(1),o=0;!n.isZero()&&0===n.andln(1);)o++,n.iushrn(1);i(!n.isZero());var a=new s(1).toRed(this),u=a.redNeg(),h=this.m.subn(1).iushrn(1),f=this.m.bitLength();for(f=new s(2*f*f).toRed(this);0!==this.pow(f,h).cmp(u);)f.redIAdd(u);for(var c=this.pow(f,n),l=this.pow(t,n.addn(1).iushrn(1)),d=this.pow(t,n),p=o;0!==d.cmp(a);){for(var y=d,m=0;0!==y.cmp(a);m++)y=y.redSqr();i(m<p);var b=this.pow(c,new s(1).iushln(p-m-1));l=l.redMul(b),c=b.redSqr(),d=d.redMul(c),p=m}return l},O.prototype.invm=function(t){var e=t._invmp(this.m);return 0!==e.negative?(e.negative=0,this.imod(e).redNeg()):this.imod(e)},O.prototype.pow=function(t,e){if(e.isZero())return new s(1).toRed(this);if(0===e.cmpn(1))return t.clone();var r=new Array(16);r[0]=new s(1).toRed(this),r[1]=t;for(var n=2;n<r.length;n++)r[n]=this.mul(r[n-1],t);var i=r[0],o=0,a=0,u=e.bitLength()%26;for(0===u&&(u=26),n=e.length-1;n>=0;n--){for(var h=e.words[n],f=u-1;f>=0;f--){var c=h>>f&1;i!==r[0]&&(i=this.sqr(i)),0!==c||0!==o?(o<<=1,o|=c,(4===++a||0===n&&0===f)&&(i=this.mul(i,r[o]),a=0,o=0)):a=0}u=26}return i},O.prototype.convertTo=function(t){var e=t.umod(this.m);return e===t?e.clone():e},O.prototype.convertFrom=function(t){var e=t.clone();return e.red=null,e},s.mont=function(t){return new A(t)},o(A,O),A.prototype.convertTo=function(t){return this.imod(t.ushln(this.shift))},A.prototype.convertFrom=function(t){var e=this.imod(t.mul(this.rinv));return e.red=null,e},A.prototype.imul=function(t,e){if(t.isZero()||e.isZero())return t.words[0]=0,t.length=1,t;var r=t.imul(e),n=r.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),i=r.isub(n).iushrn(this.shift),o=i;return i.cmp(this.m)>=0?o=i.isub(this.m):i.cmpn(0)<0&&(o=i.iadd(this.m)),o._forceRed(this)},A.prototype.mul=function(t,e){if(t.isZero()||e.isZero())return new s(0)._forceRed(this);var r=t.mul(e),n=r.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),i=r.isub(n).iushrn(this.shift),o=i;return i.cmp(this.m)>=0?o=i.isub(this.m):i.cmpn(0)<0&&(o=i.iadd(this.m)),o._forceRed(this)},A.prototype.invm=function(t){return this.imod(t._invmp(this.m).mul(this.r2))._forceRed(this)}}(t,this)}).call(this,r(24)(t))},function(t,e){},function(t,e,r){e.publicEncrypt=r(267),e.privateDecrypt=r(269),e.privateEncrypt=function(t,r){return e.publicEncrypt(t,r,!0)},e.publicDecrypt=function(t,r){return e.privateDecrypt(t,r,!0)}},function(t,e,r){var n=r(51),i=r(28),o=r(35),s=r(140),a=r(141),u=r(80),h=r(142),f=r(71),c=r(2).Buffer;t.exports=function(t,e,r){var l;l=t.padding?t.padding:r?1:4;var d,p=n(t);if(4===l)d=function(t,e){var r=t.modulus.byteLength(),n=e.length,h=o("sha1").update(c.alloc(0)).digest(),f=h.length,l=2*f;if(n>r-l-2)throw new Error("message too long");var d=c.alloc(r-n-l-2),p=r-f-1,y=i(f),m=a(c.concat([h,d,c.alloc(1,1),e],p),s(y,p)),b=a(y,s(m,f));return new u(c.concat([c.alloc(1),b,m],r))}(p,e);else if(1===l)d=function(t,e,r){var n,o=e.length,s=t.modulus.byteLength();if(o>s-11)throw new Error("message too long");n=r?c.alloc(s-o-3,255):function(t){var e,r=c.allocUnsafe(t),n=0,o=i(2*t),s=0;for(;n<t;)s===o.length&&(o=i(2*t),s=0),(e=o[s++])&&(r[n++]=e);return r}(s-o-3);return new u(c.concat([c.from([0,r?1:2]),n,c.alloc(1),e],s))}(p,e,r);else{if(3!==l)throw new Error("unknown padding");if((d=new u(e)).cmp(p.modulus)>=0)throw new Error("data too long for modulus")}return r?f(d,p):h(d,p)}},function(t,e){},function(t,e,r){var n=r(51),i=r(140),o=r(141),s=r(80),a=r(71),u=r(35),h=r(142),f=r(2).Buffer;t.exports=function(t,e,r){var c;c=t.padding?t.padding:r?1:4;var l,d=n(t),p=d.modulus.byteLength();if(e.length>p||new s(e).cmp(d.modulus)>=0)throw new Error("decryption error");l=r?h(new s(e),d):a(e,d);var y=f.alloc(p-l.length);if(l=f.concat([y,l],p),4===c)return function(t,e){var r=t.modulus.byteLength(),n=u("sha1").update(f.alloc(0)).digest(),s=n.length;if(0!==e[0])throw new Error("decryption error");var a=e.slice(1,s+1),h=e.slice(s+1),c=o(a,i(h,s)),l=o(h,i(c,r-s-1));if(function(t,e){t=f.from(t),e=f.from(e);var r=0,n=t.length;t.length!==e.length&&(r++,n=Math.min(t.length,e.length));var i=-1;for(;++i<n;)r+=t[i]^e[i];return r}(n,l.slice(0,s)))throw new Error("decryption error");var d=s;for(;0===l[d];)d++;if(1!==l[d++])throw new Error("decryption error");return l.slice(d)}(d,l);if(1===c)return function(t,e,r){var n=e.slice(0,2),i=2,o=0;for(;0!==e[i++];)if(i>=e.length){o++;break}var s=e.slice(2,i-1);("0002"!==n.toString("hex")&&!r||"0001"!==n.toString("hex")&&r)&&o++;s.length<8&&o++;if(o)throw new Error("decryption error");return e.slice(i)}(0,l,r);if(3===c)return l;throw new Error("unknown padding")}},function(t,e,r){"use strict";(function(t,n){function i(){throw new Error("secure random number generation not supported by this browser\nuse chrome, FireFox or 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/*!
 * ignore
 */t.exports=r(59).Decimal128},function(t,e,r){"use strict";
/*!
 * [node-mongodb-native](https://github.com/mongodb/node-mongodb-native) ObjectId
 * @constructor NodeMongoDbObjectId
 * @see ObjectId
 */var n=r(59).ObjectID;
/*!
 * Getter for convenience with populate, see gh-6115
 */Object.defineProperty(n.prototype,"_id",{enumerable:!1,configurable:!0,get:function(){return this}}),
/*!
 * ignore
 */
t.exports=n},function(t,e,r){"use strict";
/*!
 * ignore
 */t.exports=function(){}},function(t,e,r){"use strict";
/*!
 * Module dependencies.
 */var n=r(13),i=r(355),o=!1;t.exports=function(){return o?i:n},
/*!
 * ignore
 */
t.exports.setBrowser=function(t){o=t}},function(t,e,r){"use strict";
/*!
 * Dependencies
 */var n=r(276).ctor("require","modify","init","default","ignore");function i(){this.activePaths=new n,this.strictMode=void 0}t.exports=i,i.prototype.fullPath=void 0,i.prototype.strictMode=void 0,i.prototype.selected=void 0,i.prototype.shardval=void 0,i.prototype.saveError=void 0,i.prototype.validationError=void 0,i.prototype.adhocPaths=void 0,i.prototype.removing=void 0,i.prototype.inserting=void 0,i.prototype.saving=void 0,i.prototype.version=void 0,i.prototype._id=void 0,i.prototype.ownerDocument=void 0,i.prototype.populate=void 0,i.prototype.populated=void 0,i.prototype.wasPopulated=!1,i.prototype.scope=void 0,i.prototype.session=null,i.prototype.pathsToScopes=null,i.prototype.cachedRequired=null},function(t,e,r){"use strict";
/*!
 * Module dependencies.
 */r(4);
/*!
 * StateMachine represents a minimal `interface` for the
 * constructors it builds via StateMachine.ctor(...).
 *
 * @api private
 */var n=t.exports=function(){};
/*!
 * StateMachine.ctor('state1', 'state2', ...)
 * A factory method for subclassing StateMachine.
 * The arguments are a list of states. For each state,
 * the constructor's prototype gets state transition
 * methods named after each state. These transition methods
 * place their path argument into the given state.
 *
 * @param {String} state
 * @param {String} [state]
 * @return {Function} subclass constructor
 * @private
 */
n.ctor=function(){var t=Array.prototype.slice.call(arguments),e=function(){n.apply(this,arguments),this.paths={},this.states={},this.stateNames=t;for(var e,r=t.length;r--;)e=t[r],this.states[e]={}};return e.prototype=new n,t.forEach((function(t){e.prototype[t]=function(e){this._changeState(e,t)}})),e},
/*!
 * This function is wrapped by the state change functions:
 *
 * - `require(path)`
 * - `modify(path)`
 * - `init(path)`
 *
 * @api private
 */
n.prototype._changeState=function(t,e){var r=this.states[this.paths[t]];r&&delete r[t],this.paths[t]=e,this.states[e][t]=!0},
/*!
 * ignore
 */
n.prototype.clear=function(t){for(var e,r=Object.keys(this.states[t]),n=r.length;n--;)e=r[n],delete this.states[t][e],delete this.paths[e]},
/*!
 * Checks to see if at least one path is in the states passed in via `arguments`
 * e.g., this.some('required', 'inited')
 *
 * @param {String} state that we want to check for.
 * @private
 */
n.prototype.some=function(){var t=this,e=arguments.length?arguments:this.stateNames;return Array.prototype.some.call(e,(function(e){return Object.keys(t.states[e]).length}))},
/*!
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 * @param {String} iterMethod is either 'forEach' or 'map'
 * @return {Function}
 * @api private
 */
n.prototype._iter=function(t){return function(){var e=Array.prototype.slice.call(arguments),r=e.pop();e.length||(e=this.stateNames);var n=this,i=e.reduce((function(t,e){return t.concat(Object.keys(n.states[e]))}),[]);return i[t]((function(t,e,n){return r(t,e,n)}))}},
/*!
 * Iterates over the paths that belong to one of the parameter states.
 *
 * The function profile can look like:
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 * this.forEach(state1, state2, fn); // iterates over all paths in state1 or state2
 * this.forEach(fn);                 // iterates over all paths in all states
 *
 * @param {String} [state]
 * @param {String} [state]
 * @param {Function} callback
 * @private
 */
n.prototype.forEach=function(){return this.forEach=this._iter("forEach"),this.forEach.apply(this,arguments)},
/*!
 * Maps over the paths that belong to one of the parameter states.
 *
 * The function profile can look like:
 * this.forEach(state1, fn);         // iterates over all paths in state1
 * this.forEach(state1, state2, fn); // iterates over all paths in state1 or state2
 * this.forEach(fn);                 // iterates over all paths in all states
 *
 * @param {String} [state]
 * @param {String} [state]
 * @param {Function} callback
 * @return {Array}
 * @private
 */
n.prototype.map=function(){return this.map=this._iter("map"),this.map.apply(this,arguments)}},function(t,e,r){function n(t){return(n="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(t){return typeof t}:function(t){return t&&"function"==typeof Symbol&&t.constructor===Symbol&&t!==Symbol.prototype?"symbol":typeof t})(t)}var i=r(278),o=["__proto__","constructor","prototype"];
/*!
 * Returns the value passed to it.
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/*!
 * Recursively set nested arrays
 */
function t(e,r,n,i,o,s){for(var a,u=0;u<e.length&&u<r.length;++u)a=e[u],Array.isArray(a)&&Array.isArray(r[u])?t(a,r[u],n,i,o,s):a&&(i?i(a,n,s(r[u])):(a[o]&&(a=a[o]),a[n]=s(r[u])))}(m,r,p,c,u,h);else for(g=0;g<m.length;++g){var _=m[g];_&&(c?c(_,p,h(r)):(_[u]&&(_=_[u]),_[p]=h(r)))}else c?c(m,p,h(r)):m instanceof Map?m.set(p,h(r)):m[p]=h(r)}}},function(t,e,r){"use strict";t.exports=function(t){for(var e=[],r="",n="DEFAULT",i=0;i<t.length;++i)"IN_SQUARE_BRACKETS"!==n||/\d/.test(t[i])||"]"===t[i]||(n="DEFAULT",r=e[e.length-1]+"["+r,e.splice(e.length-1,1)),"["===t[i]?("IMMEDIATELY_AFTER_SQUARE_BRACKETS"!==n&&(e.push(r),r=""),n="IN_SQUARE_BRACKETS"):"]"===t[i]?"IN_SQUARE_BRACKETS"===n?(n="IMMEDIATELY_AFTER_SQUARE_BRACKETS",e.push(r),r=""):(n="DEFAULT",r+=t[i]):"."===t[i]?("IMMEDIATELY_AFTER_SQUARE_BRACKETS"!==n&&(e.push(r),r=""),n="DEFAULT"):r+=t[i];return"IMMEDIATELY_AFTER_SQUARE_BRACKETS"!==n&&e.push(r),e}},function(t,e,r){"use strict";function n(t){return(n="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(t){return typeof t}:function(t){return t&&"function"==typeof Symbol&&t.constructor===Symbol&&t!==Symbol.prototype?"symbol":typeof t})(t)}function i(t,e){for(var r=0;r<e.length;r++){var n=e[r];n.enumerable=n.enumerable||!1,n.configurable=!0,"value"in n&&(n.writable=!0),Object.defineProperty(t,n.key,n)}}function o(t,e,r){return e&&i(t.prototype,e),r&&i(t,r),Object.defineProperty(t,"prototype",{writable:!1}),t}var s=r(41),a=o((function t(e){if(function(t,e){if(!(t instanceof e))throw new TypeError("Cannot call a class as a function")}(this,t),this._docs={},this._childDocs=[],null!=e&&(e=s(e),Object.assign(this,e),"object"===n(e.subPopulate)&&(this.populate=e.subPopulate),null!=e.perDocumentLimit&&null!=e.limit))throw new Error("Can not use `limit` and `perDocumentLimit` at the same time. Path: `"+e.path+"`.")}));t.exports=a},function(t,e,r){"use strict";e.isMongooseDocumentArray=function(t){return Array.isArray(t)&&t.isMongooseDocumentArray}},function(t,e,r){"use strict";
/*
object-assign
(c) Sindre Sorhus
@license MIT
*/var n=Object.getOwnPropertySymbols,i=Object.prototype.hasOwnProperty,o=Object.prototype.propertyIsEnumerable;function s(t){if(null==t)throw new TypeError("Object.assign cannot be called with null or undefined");return Object(t)}t.exports=function(){try{if(!Object.assign)return!1;var t=new String("abc");if(t[5]="de","5"===Object.getOwnPropertyNames(t)[0])return!1;for(var e={},r=0;r<10;r++)e["_"+String.fromCharCode(r)]=r;if("0123456789"!==Object.getOwnPropertyNames(e).map((function(t){return e[t]})).join(""))return!1;var n={};return"abcdefghijklmnopqrst".split("").forEach((function(t){n[t]=t})),"abcdefghijklmnopqrst"===Object.keys(Object.assign({},n)).join("")}catch(t){return!1}}()?Object.assign:function(t,e){for(var r,a,u=s(t),h=1;h<arguments.length;h++){for(var f in r=Object(arguments[h]))i.call(r,f)&&(u[f]=r[f]);if(n){a=n(r);for(var c=0;c<a.length;c++)o.call(r,a[c])&&(u[a[c]]=r[a[c]])}}return u}},function(t,e){function r(t){return(r="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(t){return typeof t}:function(t){return t&&"function"==typeof Symbol&&t.constructor===Symbol&&t!==Symbol.prototype?"symbol":typeof t})(t)}t.exports=function(t){return t&&"object"===r(t)&&"function"==typeof t.copy&&"function"==typeof t.fill&&"function"==typeof t.readUInt8}},function(t,e){"function"==typeof Object.create?t.exports=function(t,e){t.super_=e,t.prototype=Object.create(e.prototype,{constructor:{value:t,enumerable:!1,writable:!0,configurable:!0}})}:t.exports=function(t,e){t.super_=e;var r=function(){};r.prototype=e.prototype,t.prototype=new r,t.prototype.constructor=t}},function(t,e,r){"use strict";function n(t,e){var r="undefined"!=typeof Symbol&&t[Symbol.iterator]||t["@@iterator"];if(!r){if(Array.isArray(t)||(r=function(t,e){if(!t)return;if("string"==typeof t)return i(t,e);var r=Object.prototype.toString.call(t).slice(8,-1);"Object"===r&&t.constructor&&(r=t.constructor.name);if("Map"===r||"Set"===r)return Array.from(t);if("Arguments"===r||/^(?:Ui|I)nt(?:8|16|32)(?:Clamped)?Array$/.test(r))return i(t,e)}(t))||e&&t&&"number"==typeof t.length){r&&(t=r);var n=0,o=function(){};return{s:o,n:function(){return n>=t.length?{done:!0}:{done:!1,value:t[n++]}},e:function(t){throw t},f:o}}throw new TypeError("Invalid attempt to iterate non-iterable instance.\nIn order to be iterable, non-array objects must have a [Symbol.iterator]() method.")}var s,a=!0,u=!1;return{s:function(){r=r.call(t)},n:function(){var t=r.next();return a=t.done,t},e:function(t){u=!0,s=t},f:function(){try{a||null==r.return||r.return()}finally{if(u)throw s}}}}function i(t,e){(null==e||e>t.length)&&(e=t.length);for(var r=0,n=new Array(e);r<e;r++)n[r]=t[r];return n}function o(t){return(o="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(t){return typeof t}:function(t){return t&&"function"==typeof Symbol&&t.constructor===Symbol&&t!==Symbol.prototype?"symbol":typeof t})(t)}var s=r(43),a=r(9),u=r(285),h=r(286)("mquery");function f(t,e){if(!(this instanceof f))return new f(t,e);var r=this.constructor.prototype;this.op=r.op||void 0,this.options=Object.assign({},r.options),this._conditions=r._conditions?u.clone(r._conditions):{},this._fields=r._fields?u.clone(r._fields):void 0,this._update=r._update?u.clone(r._update):void 0,this._path=r._path||void 0,this._distinct=r._distinct||void 0,this._collection=r._collection||void 0,this._traceFunction=r._traceFunction||void 0,e&&this.setOptions(e),t&&(t.find&&t.remove&&t.update?this.collection(t):this.find(t))}var c="$geoWithin";Object.defineProperty(f,"use$geoWithin",{get:function(){return"$geoWithin"==c},set:function(t){c=!0===t?"$geoWithin":"$within"}}),f.prototype.toConstructor=function(){function t(e,r){if(!(this instanceof t))return new t(e,r);f.call(this,e,r)}u.inherits(t,f);var e=t.prototype;return 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/*!
 * gt, gte, lt, lte, ne, in, nin, all, regex, size, maxDistance
 *
 *     Thing.where('type').nin(array)
 */
"gt gte lt lte ne in nin all regex size maxDistance minDistance".split(" ").forEach((function(t){f.prototype[t]=function(){var e,r;1===arguments.length?(this._ensurePath(t),r=arguments[0],e=this._path):(r=arguments[1],e=arguments[0]);var n=null===this._conditions[e]||"object"===o(this._conditions[e])?this._conditions[e]:this._conditions[e]={};return n["$"+t]=r,this}})),f.prototype.mod=function(){var t,e;1===arguments.length?(this._ensurePath("mod"),t=arguments[0],e=this._path):2!==arguments.length||Array.isArray(arguments[1])?3===arguments.length?(t=[arguments[1],arguments[2]],e=arguments[0]):(t=arguments[1],e=arguments[0]):(this._ensurePath("mod"),t=[arguments[0],arguments[1]],e=this._path);var r=this._conditions[e]||(this._conditions[e]={});return r.$mod=t,this},f.prototype.exists=function(){var t,e;0===arguments.length?(this._ensurePath("exists"),t=this._path,e=!0):1===arguments.length?"boolean"==typeof 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/*!
 * @ignore
 */
var l={1:1,"-1":-1,asc:1,ascending:1,desc:-1,descending:-1};function d(t,e,r){if(Array.isArray(t.sort))throw new TypeError("Can't mix sort syntaxes. Use either array or object:\n- `.sort([['field', 1], ['test', -1]])`\n- `.sort({ field: 1, test: -1 })`");var n;if(r&&r.$meta)(n=t.sort||(t.sort={}))[e]={$meta:r.$meta};else{n=t.sort||(t.sort={});var i=String(r||1).toLowerCase();if(!(i=l[i]))throw new TypeError("Invalid sort value: { "+e+": "+r+" }");n[e]=i}}function p(t,e,r){if(t.sort=t.sort||[],!Array.isArray(t.sort))throw new TypeError("Can't mix sort syntaxes. Use either array or object:\n- `.sort([['field', 1], ['test', -1]])`\n- `.sort({ field: 1, test: -1 })`");var n=String(r||1).toLowerCase();if(!(n=l[n]))throw new TypeError("Invalid sort value: [ "+e+", "+r+" ]");t.sort.push([e,n])}function y(t,e){if(t.sort=t.sort||new Map,!(t.sort instanceof Map))throw new TypeError("Can't mix sort syntaxes. Use either array or object or map consistently");e.forEach((function(e,r){var n=String(e||1).toLowerCase();if(!(n=l[n]))throw new TypeError("Invalid sort value: < "+r+": "+e+" >");t.sort.set(r,n)}))}
/*!
 * limit, skip, maxScan, batchSize, comment
 *
 * Sets these associated options.
 *
 *     query.comment('feed query');
 */
/*!
 * Internal helper for update, updateMany, updateOne
 */
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/*!
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/*!
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/*!
 * ignore
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/*!
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/*!
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/*!
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/*!
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 *
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 */t.exports=function(t,e){if(null!=t._id&&null!=e&&0!==e.length){var r,i=String(t._id),s=n(e);try{for(s.s();!(r=s.n()).done;){var a=r.value;if(!a.isVirtual)for(var u=a.path.split("."),h=0;h<u.length-1;++h){var f=u.slice(0,h+1).join("."),c=u.slice(h+1).join("."),l=t.get(f);if(null!=l&&o.isMongooseDocumentArray(l)){for(var d=0;d<l.length;++d)l[d].populated(c,null==a._docs[i]?void 0:a._docs[i][d],a);break}}}}catch(t){s.e(t)}finally{s.f()}}}},function(t,e,r){"use strict";
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/*!
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 *
 * @param {Object} option
 */
function c(t){return function(e){e.options||(e.options={}),null!=t&&Array.isArray(t.virtuals)&&((t=Object.assign({},t)).virtuals=t.virtuals.filter((function(t){return"string"==typeof t&&t.startsWith(e.path+".")})).map((function(t){return t.slice(e.path.length+1)}))),e.options.lean=t}}
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 *
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/*!
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