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function () {\n\tthis.seq().obj(\n\t\tthis.key('algorithm').objid(),\n\t\tthis.key('parameters').optional(),\n\t\tthis.key('curve').objid().optional()\n\t);\n});\n\nvar SubjectPublicKeyInfo = asn.define('SubjectPublicKeyInfo', function () {\n\tthis.seq().obj(\n\t\tthis.key('algorithm').use(AlgorithmIdentifier),\n\t\tthis.key('subjectPublicKey').bitstr()\n\t);\n});\n\nvar RelativeDistinguishedName = asn.define('RelativeDistinguishedName', function () {\n\tthis.setof(AttributeTypeValue);\n});\n\nvar RDNSequence = asn.define('RDNSequence', function () {\n\tthis.seqof(RelativeDistinguishedName);\n});\n\nvar Name = asn.define('Name', function () {\n\tthis.choice({\n\t\trdnSequence: this.use(RDNSequence)\n\t});\n});\n\nvar Validity = asn.define('Validity', function () {\n\tthis.seq().obj(\n\t\tthis.key('notBefore').use(Time),\n\t\tthis.key('notAfter').use(Time)\n\t);\n});\n\nvar Extension = asn.define('Extension', function () {\n\tthis.seq().obj(\n\t\tthis.key('extnID').objid(),\n\t\tthis.key('critical').bool().def(false),\n\t\tthis.key('extnValue').octstr()\n\t);\n});\n\nvar TBSCertificate = asn.define('TBSCertificate', function () {\n\tthis.seq().obj(\n\t\tthis.key('version').explicit(0)['int']().optional(),\n\t\tthis.key('serialNumber')['int'](),\n\t\tthis.key('signature').use(AlgorithmIdentifier),\n\t\tthis.key('issuer').use(Name),\n\t\tthis.key('validity').use(Validity),\n\t\tthis.key('subject').use(Name),\n\t\tthis.key('subjectPublicKeyInfo').use(SubjectPublicKeyInfo),\n\t\tthis.key('issuerUniqueID').implicit(1).bitstr().optional(),\n\t\tthis.key('subjectUniqueID').implicit(2).bitstr().optional(),\n\t\tthis.key('extensions').explicit(3).seqof(Extension).optional()\n\t);\n});\n\nvar X509Certificate = asn.define('X509Certificate', function () {\n\tthis.seq().obj(\n\t\tthis.key('tbsCertificate').use(TBSCertificate),\n\t\tthis.key('signatureAlgorithm').use(AlgorithmIdentifier),\n\t\tthis.key('signatureValue').bitstr()\n\t);\n});\n\nmodule.exports = X509Certificate;\n","// from https://github.com/indutny/self-signed/blob/gh-pages/lib/asn1.js\n// Fedor, you are amazing.\n\n'use strict';\n\nvar asn1 = require('asn1.js');\n\nexports.certificate = require('./certificate');\n\nvar RSAPrivateKey = asn1.define('RSAPrivateKey', function () {\n\tthis.seq().obj(\n\t\tthis.key('version')['int'](),\n\t\tthis.key('modulus')['int'](),\n\t\tthis.key('publicExponent')['int'](),\n\t\tthis.key('privateExponent')['int'](),\n\t\tthis.key('prime1')['int'](),\n\t\tthis.key('prime2')['int'](),\n\t\tthis.key('exponent1')['int'](),\n\t\tthis.key('exponent2')['int'](),\n\t\tthis.key('coefficient')['int']()\n\t);\n});\nexports.RSAPrivateKey = RSAPrivateKey;\n\nvar RSAPublicKey = asn1.define('RSAPublicKey', function () {\n\tthis.seq().obj(\n\t\tthis.key('modulus')['int'](),\n\t\tthis.key('publicExponent')['int']()\n\t);\n});\nexports.RSAPublicKey = RSAPublicKey;\n\nvar AlgorithmIdentifier = asn1.define('AlgorithmIdentifier', function () {\n\tthis.seq().obj(\n\t\tthis.key('algorithm').objid(),\n\t\tthis.key('none').null_().optional(),\n\t\tthis.key('curve').objid().optional(),\n\t\tthis.key('params').seq().obj(\n\t\t\tthis.key('p')['int'](),\n\t\t\tthis.key('q')['int'](),\n\t\t\tthis.key('g')['int']()\n\t\t).optional()\n\t);\n});\n\nvar PublicKey = asn1.define('SubjectPublicKeyInfo', function () {\n\tthis.seq().obj(\n\t\tthis.key('algorithm').use(AlgorithmIdentifier),\n\t\tthis.key('subjectPublicKey').bitstr()\n\t);\n});\nexports.PublicKey = PublicKey;\n\nvar PrivateKeyInfo = asn1.define('PrivateKeyInfo', function () {\n\tthis.seq().obj(\n\t\tthis.key('version')['int'](),\n\t\tthis.key('algorithm').use(AlgorithmIdentifier),\n\t\tthis.key('subjectPrivateKey').octstr()\n\t);\n});\nexports.PrivateKey = PrivateKeyInfo;\nvar EncryptedPrivateKeyInfo = asn1.define('EncryptedPrivateKeyInfo', function () {\n\tthis.seq().obj(\n\t\tthis.key('algorithm').seq().obj(\n\t\t\tthis.key('id').objid(),\n\t\t\tthis.key('decrypt').seq().obj(\n\t\t\t\tthis.key('kde').seq().obj(\n\t\t\t\t\tthis.key('id').objid(),\n\t\t\t\t\tthis.key('kdeparams').seq().obj(\n\t\t\t\t\t\tthis.key('salt').octstr(),\n\t\t\t\t\t\tthis.key('iters')['int']()\n\t\t\t\t\t)\n\t\t\t\t),\n\t\t\t\tthis.key('cipher').seq().obj(\n\t\t\t\t\tthis.key('algo').objid(),\n\t\t\t\t\tthis.key('iv').octstr()\n\t\t\t\t)\n\t\t\t)\n\t\t),\n\t\tthis.key('subjectPrivateKey').octstr()\n\t);\n});\n\nexports.EncryptedPrivateKey = EncryptedPrivateKeyInfo;\n\nvar DSAPrivateKey = asn1.define('DSAPrivateKey', function () {\n\tthis.seq().obj(\n\t\tthis.key('version')['int'](),\n\t\tthis.key('p')['int'](),\n\t\tthis.key('q')['int'](),\n\t\tthis.key('g')['int'](),\n\t\tthis.key('pub_key')['int'](),\n\t\tthis.key('priv_key')['int']()\n\t);\n});\nexports.DSAPrivateKey = DSAPrivateKey;\n\nexports.DSAparam = asn1.define('DSAparam', function () {\n\tthis['int']();\n});\n\nvar ECParameters = asn1.define('ECParameters', function () {\n\tthis.choice({\n\t\tnamedCurve: this.objid()\n\t});\n});\n\nvar ECPrivateKey = asn1.define('ECPrivateKey', function () {\n\tthis.seq().obj(\n\t\tthis.key('version')['int'](),\n\t\tthis.key('privateKey').octstr(),\n\t\tthis.key('parameters').optional().explicit(0).use(ECParameters),\n\t\tthis.key('publicKey').optional().explicit(1).bitstr()\n\t);\n});\nexports.ECPrivateKey = ECPrivateKey;\n\nexports.signature = asn1.define('signature', function () {\n\tthis.seq().obj(\n\t\tthis.key('r')['int'](),\n\t\tthis.key('s')['int']()\n\t);\n});\n","module.exports = require('events').EventEmitter;\n","// Copyright Joyent, Inc. and other Node contributors.\n//\n// Permission is hereby granted, free of charge, to any person obtaining a\n// copy of this software and associated documentation files (the\n// \"Software\"), to deal in the Software without restriction, including\n// without limitation the rights to use, copy, modify, merge, publish,\n// distribute, sublicense, and/or sell copies of the Software, and to permit\n// persons to whom the Software is furnished to do so, subject to the\n// following conditions:\n//\n// The above copyright notice and this permission notice shall be included\n// in all copies or substantial portions of the Software.\n//\n// THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS\n// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF\n// MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN\n// NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM,\n// DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR\n// OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE\n// USE OR OTHER DEALINGS IN THE SOFTWARE.\n\n'use strict';\n\n/*<replacement>*/\n\nvar Buffer = require('safe-buffer').Buffer;\n/*</replacement>*/\n\nvar isEncoding = Buffer.isEncoding || function (encoding) {\n  encoding = '' + encoding;\n  switch (encoding && encoding.toLowerCase()) {\n    case 'hex':case 'utf8':case 'utf-8':case 'ascii':case 'binary':case 'base64':case 'ucs2':case 'ucs-2':case 'utf16le':case 'utf-16le':case 'raw':\n      return true;\n    default:\n      return false;\n  }\n};\n\nfunction _normalizeEncoding(enc) {\n  if (!enc) return 'utf8';\n  var retried;\n  while (true) {\n    switch (enc) {\n      case 'utf8':\n      case 'utf-8':\n        return 'utf8';\n      case 'ucs2':\n      case 'ucs-2':\n      case 'utf16le':\n      case 'utf-16le':\n        return 'utf16le';\n      case 'latin1':\n      case 'binary':\n        return 'latin1';\n      case 'base64':\n      case 'ascii':\n      case 'hex':\n        return enc;\n      default:\n        if (retried) return; // undefined\n        enc = ('' + enc).toLowerCase();\n        retried = true;\n    }\n  }\n};\n\n// Do not cache `Buffer.isEncoding` when checking encoding names as some\n// modules monkey-patch it to support additional encodings\nfunction normalizeEncoding(enc) {\n  var nenc = _normalizeEncoding(enc);\n  if (typeof nenc !== 'string' && (Buffer.isEncoding === isEncoding || !isEncoding(enc))) throw new Error('Unknown encoding: ' + enc);\n  return nenc || enc;\n}\n\n// StringDecoder provides an interface for efficiently splitting a series of\n// buffers into a series of JS strings without breaking apart multi-byte\n// characters.\nexports.StringDecoder = StringDecoder;\nfunction StringDecoder(encoding) {\n  this.encoding = normalizeEncoding(encoding);\n  var nb;\n  switch (this.encoding) {\n    case 'utf16le':\n      this.text = utf16Text;\n      this.end = utf16End;\n      nb = 4;\n      break;\n    case 'utf8':\n      this.fillLast = utf8FillLast;\n      nb = 4;\n      break;\n    case 'base64':\n      this.text = base64Text;\n      this.end = base64End;\n      nb = 3;\n      break;\n    default:\n      this.write = simpleWrite;\n      this.end = simpleEnd;\n      return;\n  }\n  this.lastNeed = 0;\n  this.lastTotal = 0;\n  this.lastChar = Buffer.allocUnsafe(nb);\n}\n\nStringDecoder.prototype.write = function (buf) {\n  if (buf.length === 0) return '';\n  var r;\n  var i;\n  if (this.lastNeed) {\n    r = this.fillLast(buf);\n    if (r === undefined) return '';\n    i = this.lastNeed;\n    this.lastNeed = 0;\n  } else {\n    i = 0;\n  }\n  if (i < buf.length) return r ? r + this.text(buf, i) : this.text(buf, i);\n  return r || '';\n};\n\nStringDecoder.prototype.end = utf8End;\n\n// Returns only complete characters in a Buffer\nStringDecoder.prototype.text = utf8Text;\n\n// Attempts to complete a partial non-UTF-8 character using bytes from a Buffer\nStringDecoder.prototype.fillLast = function (buf) {\n  if (this.lastNeed <= buf.length) {\n    buf.copy(this.lastChar, this.lastTotal - this.lastNeed, 0, this.lastNeed);\n    return this.lastChar.toString(this.encoding, 0, this.lastTotal);\n  }\n  buf.copy(this.lastChar, this.lastTotal - this.lastNeed, 0, buf.length);\n  this.lastNeed -= buf.length;\n};\n\n// Checks the type of a UTF-8 byte, whether it's ASCII, a leading byte, or a\n// continuation byte. If an invalid byte is detected, -2 is returned.\nfunction utf8CheckByte(byte) {\n  if (byte <= 0x7F) return 0;else if (byte >> 5 === 0x06) return 2;else if (byte >> 4 === 0x0E) return 3;else if (byte >> 3 === 0x1E) return 4;\n  return byte >> 6 === 0x02 ? -1 : -2;\n}\n\n// Checks at most 3 bytes at the end of a Buffer in order to detect an\n// incomplete multi-byte UTF-8 character. The total number of bytes (2, 3, or 4)\n// needed to complete the UTF-8 character (if applicable) are returned.\nfunction utf8CheckIncomplete(self, buf, i) {\n  var j = buf.length - 1;\n  if (j < i) return 0;\n  var nb = utf8CheckByte(buf[j]);\n  if (nb >= 0) {\n    if (nb > 0) self.lastNeed = nb - 1;\n    return nb;\n  }\n  if (--j < i || nb === -2) return 0;\n  nb = utf8CheckByte(buf[j]);\n  if (nb >= 0) {\n    if (nb > 0) self.lastNeed = nb - 2;\n    return nb;\n  }\n  if (--j < i || nb === -2) return 0;\n  nb = utf8CheckByte(buf[j]);\n  if (nb >= 0) {\n    if (nb > 0) {\n      if (nb === 2) nb = 0;else self.lastNeed = nb - 3;\n    }\n    return nb;\n  }\n  return 0;\n}\n\n// Validates as many continuation bytes for a multi-byte UTF-8 character as\n// needed or are available. If we see a non-continuation byte where we expect\n// one, we \"replace\" the validated continuation bytes we've seen so far with\n// a single UTF-8 replacement character ('\\ufffd'), to match v8's UTF-8 decoding\n// behavior. The continuation byte check is included three times in the case\n// where all of the continuation bytes for a character exist in the same buffer.\n// It is also done this way as a slight performance increase instead of using a\n// loop.\nfunction utf8CheckExtraBytes(self, buf, p) {\n  if ((buf[0] & 0xC0) !== 0x80) {\n    self.lastNeed = 0;\n    return '\\ufffd';\n  }\n  if (self.lastNeed > 1 && buf.length > 1) {\n    if ((buf[1] & 0xC0) !== 0x80) {\n      self.lastNeed = 1;\n      return '\\ufffd';\n    }\n    if (self.lastNeed > 2 && buf.length > 2) {\n      if ((buf[2] & 0xC0) !== 0x80) {\n        self.lastNeed = 2;\n        return '\\ufffd';\n      }\n    }\n  }\n}\n\n// Attempts to complete a multi-byte UTF-8 character using bytes from a Buffer.\nfunction utf8FillLast(buf) {\n  var p = this.lastTotal - this.lastNeed;\n  var r = utf8CheckExtraBytes(this, buf, p);\n  if (r !== undefined) return r;\n  if (this.lastNeed <= buf.length) {\n    buf.copy(this.lastChar, p, 0, this.lastNeed);\n    return this.lastChar.toString(this.encoding, 0, this.lastTotal);\n  }\n  buf.copy(this.lastChar, p, 0, buf.length);\n  this.lastNeed -= buf.length;\n}\n\n// Returns all complete UTF-8 characters in a Buffer. If the Buffer ended on a\n// partial character, the character's bytes are buffered until the required\n// number of bytes are available.\nfunction utf8Text(buf, i) {\n  var total = utf8CheckIncomplete(this, buf, i);\n  if (!this.lastNeed) return buf.toString('utf8', i);\n  this.lastTotal = total;\n  var end = buf.length - (total - this.lastNeed);\n  buf.copy(this.lastChar, 0, end);\n  return buf.toString('utf8', i, end);\n}\n\n// For UTF-8, a replacement character is added when ending on a partial\n// character.\nfunction utf8End(buf) {\n  var r = buf && buf.length ? this.write(buf) : '';\n  if (this.lastNeed) return r + '\\ufffd';\n  return r;\n}\n\n// UTF-16LE typically needs two bytes per character, but even if we have an even\n// number of bytes available, we need to check if we end on a leading/high\n// surrogate. In that case, we need to wait for the next two bytes in order to\n// decode the last character properly.\nfunction utf16Text(buf, i) {\n  if ((buf.length - i) % 2 === 0) {\n    var r = buf.toString('utf16le', i);\n    if (r) {\n      var c = r.charCodeAt(r.length - 1);\n      if (c >= 0xD800 && c <= 0xDBFF) {\n        this.lastNeed = 2;\n        this.lastTotal = 4;\n        this.lastChar[0] = buf[buf.length - 2];\n        this.lastChar[1] = buf[buf.length - 1];\n        return r.slice(0, -1);\n      }\n    }\n    return r;\n  }\n  this.lastNeed = 1;\n  this.lastTotal = 2;\n  this.lastChar[0] = buf[buf.length - 1];\n  return buf.toString('utf16le', i, buf.length - 1);\n}\n\n// For UTF-16LE we do not explicitly append special replacement characters if we\n// end on a partial character, we simply let v8 handle that.\nfunction utf16End(buf) {\n  var r = buf && buf.length ? this.write(buf) : '';\n  if (this.lastNeed) {\n    var end = this.lastTotal - this.lastNeed;\n    return r + this.lastChar.toString('utf16le', 0, end);\n  }\n  return r;\n}\n\nfunction base64Text(buf, i) {\n  var n = (buf.length - i) % 3;\n  if (n === 0) return buf.toString('base64', i);\n  this.lastNeed = 3 - n;\n  this.lastTotal = 3;\n  if (n === 1) {\n    this.lastChar[0] = buf[buf.length - 1];\n  } else {\n    this.lastChar[0] = buf[buf.length - 2];\n    this.lastChar[1] = buf[buf.length - 1];\n  }\n  return buf.toString('base64', i, buf.length - n);\n}\n\nfunction base64End(buf) {\n  var r = buf && buf.length ? this.write(buf) : '';\n  if (this.lastNeed) return r + this.lastChar.toString('base64', 0, 3 - this.lastNeed);\n  return r;\n}\n\n// Pass bytes on through for single-byte encodings (e.g. ascii, latin1, hex)\nfunction simpleWrite(buf) {\n  return buf.toString(this.encoding);\n}\n\nfunction simpleEnd(buf) {\n  return buf && buf.length ? this.write(buf) : '';\n}","// Copyright Joyent, Inc. and other Node contributors.\n//\n// Permission is hereby granted, free of charge, to any person obtaining a\n// copy of this software and associated documentation files (the\n// \"Software\"), to deal in the Software without restriction, including\n// without limitation the rights to use, copy, modify, merge, publish,\n// distribute, sublicense, and/or sell copies of the Software, and to permit\n// persons to whom the Software is furnished to do so, subject to the\n// following conditions:\n//\n// The above copyright notice and this permission notice shall be included\n// in all copies or substantial portions of the Software.\n//\n// THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS\n// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF\n// MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN\n// NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM,\n// DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR\n// OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE\n// USE OR OTHER DEALINGS IN THE SOFTWARE.\n\n// A bit simpler than readable streams.\n// Implement an async ._write(chunk, encoding, cb), and it'll handle all\n// the drain event emission and buffering.\n\n'use strict';\n\n/*<replacement>*/\n\nvar pna = require('process-nextick-args');\n/*</replacement>*/\n\nmodule.exports = Writable;\n\n/* <replacement> */\nfunction WriteReq(chunk, encoding, cb) {\n  this.chunk = chunk;\n  this.encoding = encoding;\n  this.callback = cb;\n  this.next = null;\n}\n\n// It seems a linked list but it is not\n// there will be only 2 of these for each stream\nfunction CorkedRequest(state) {\n  var _this = this;\n\n  this.next = null;\n  this.entry = null;\n  this.finish = function () {\n    onCorkedFinish(_this, state);\n  };\n}\n/* </replacement> */\n\n/*<replacement>*/\nvar asyncWrite = !process.browser && ['v0.10', 'v0.9.'].indexOf(process.version.slice(0, 5)) > -1 ? setImmediate : pna.nextTick;\n/*</replacement>*/\n\n/*<replacement>*/\nvar Duplex;\n/*</replacement>*/\n\nWritable.WritableState = WritableState;\n\n/*<replacement>*/\nvar util = Object.create(require('core-util-is'));\nutil.inherits = require('inherits');\n/*</replacement>*/\n\n/*<replacement>*/\nvar internalUtil = {\n  deprecate: require('util-deprecate')\n};\n/*</replacement>*/\n\n/*<replacement>*/\nvar Stream = require('./internal/streams/stream');\n/*</replacement>*/\n\n/*<replacement>*/\n\nvar Buffer = require('safe-buffer').Buffer;\nvar OurUint8Array = (typeof global !== 'undefined' ? global : typeof window !== 'undefined' ? window : typeof self !== 'undefined' ? self : {}).Uint8Array || function () {};\nfunction _uint8ArrayToBuffer(chunk) {\n  return Buffer.from(chunk);\n}\nfunction _isUint8Array(obj) {\n  return Buffer.isBuffer(obj) || obj instanceof OurUint8Array;\n}\n\n/*</replacement>*/\n\nvar destroyImpl = require('./internal/streams/destroy');\n\nutil.inherits(Writable, Stream);\n\nfunction nop() {}\n\nfunction WritableState(options, stream) {\n  Duplex = Duplex || require('./_stream_duplex');\n\n  options = options || {};\n\n  // Duplex streams are both readable and writable, but share\n  // the same options object.\n  // However, some cases require setting options to different\n  // values for the readable and the writable sides of the duplex stream.\n  // These options can be provided separately as readableXXX and writableXXX.\n  var isDuplex = stream instanceof Duplex;\n\n  // object stream flag to indicate whether or not this stream\n  // contains buffers or objects.\n  this.objectMode = !!options.objectMode;\n\n  if (isDuplex) this.objectMode = this.objectMode || !!options.writableObjectMode;\n\n  // the point at which write() starts returning false\n  // Note: 0 is a valid value, means that we always return false if\n  // the entire buffer is not flushed immediately on write()\n  var hwm = options.highWaterMark;\n  var writableHwm = options.writableHighWaterMark;\n  var defaultHwm = this.objectMode ? 16 : 16 * 1024;\n\n  if (hwm || hwm === 0) this.highWaterMark = hwm;else if (isDuplex && (writableHwm || writableHwm === 0)) this.highWaterMark = writableHwm;else this.highWaterMark = defaultHwm;\n\n  // cast to ints.\n  this.highWaterMark = Math.floor(this.highWaterMark);\n\n  // if _final has been called\n  this.finalCalled = false;\n\n  // drain event flag.\n  this.needDrain = false;\n  // at the start of calling end()\n  this.ending = false;\n  // when end() has been called, and returned\n  this.ended = false;\n  // when 'finish' is emitted\n  this.finished = false;\n\n  // has it been destroyed\n  this.destroyed = false;\n\n  // should we decode strings into buffers before passing to _write?\n  // this is here so that some node-core streams can optimize string\n  // handling at a lower level.\n  var noDecode = options.decodeStrings === false;\n  this.decodeStrings = !noDecode;\n\n  // Crypto is kind of old and crusty.  Historically, its default string\n  // encoding is 'binary' so we have to make this configurable.\n  // Everything else in the universe uses 'utf8', though.\n  this.defaultEncoding = options.defaultEncoding || 'utf8';\n\n  // not an actual buffer we keep track of, but a measurement\n  // of how much we're waiting to get pushed to some underlying\n  // socket or file.\n  this.length = 0;\n\n  // a flag to see when we're in the middle of a write.\n  this.writing = false;\n\n  // when true all writes will be buffered until .uncork() call\n  this.corked = 0;\n\n  // a flag to be able to tell if the onwrite cb is called immediately,\n  // or on a later tick.  We set this to true at first, because any\n  // actions that shouldn't happen until \"later\" should generally also\n  // not happen before the first write call.\n  this.sync = true;\n\n  // a flag to know if we're processing previously buffered items, which\n  // may call the _write() callback in the same tick, so that we don't\n  // end up in an overlapped onwrite situation.\n  this.bufferProcessing = false;\n\n  // the callback that's passed to _write(chunk,cb)\n  this.onwrite = function (er) {\n    onwrite(stream, er);\n  };\n\n  // the callback that the user supplies to write(chunk,encoding,cb)\n  this.writecb = null;\n\n  // the amount that is being written when _write is called.\n  this.writelen = 0;\n\n  this.bufferedRequest = null;\n  this.lastBufferedRequest = null;\n\n  // number of pending user-supplied write callbacks\n  // this must be 0 before 'finish' can be emitted\n  this.pendingcb = 0;\n\n  // emit prefinish if the only thing we're waiting for is _write cbs\n  // This is relevant for synchronous Transform streams\n  this.prefinished = false;\n\n  // True if the error was already emitted and should not be thrown again\n  this.errorEmitted = false;\n\n  // count buffered requests\n  this.bufferedRequestCount = 0;\n\n  // allocate the first CorkedRequest, there is always\n  // one allocated and free to use, and we maintain at most two\n  this.corkedRequestsFree = new CorkedRequest(this);\n}\n\nWritableState.prototype.getBuffer = function getBuffer() {\n  var current = this.bufferedRequest;\n  var out = [];\n  while (current) {\n    out.push(current);\n    current = current.next;\n  }\n  return out;\n};\n\n(function () {\n  try {\n    Object.defineProperty(WritableState.prototype, 'buffer', {\n      get: internalUtil.deprecate(function () {\n        return this.getBuffer();\n      }, '_writableState.buffer is deprecated. Use _writableState.getBuffer ' + 'instead.', 'DEP0003')\n    });\n  } catch (_) {}\n})();\n\n// Test _writableState for inheritance to account for Duplex streams,\n// whose prototype chain only points to Readable.\nvar realHasInstance;\nif (typeof Symbol === 'function' && Symbol.hasInstance && typeof Function.prototype[Symbol.hasInstance] === 'function') {\n  realHasInstance = Function.prototype[Symbol.hasInstance];\n  Object.defineProperty(Writable, Symbol.hasInstance, {\n    value: function (object) {\n      if (realHasInstance.call(this, object)) return true;\n      if (this !== Writable) return false;\n\n      return object && object._writableState instanceof WritableState;\n    }\n  });\n} else {\n  realHasInstance = function (object) {\n    return object instanceof this;\n  };\n}\n\nfunction Writable(options) {\n  Duplex = Duplex || require('./_stream_duplex');\n\n  // Writable ctor is applied to Duplexes, too.\n  // `realHasInstance` is necessary because using plain `instanceof`\n  // would return false, as no `_writableState` property is attached.\n\n  // Trying to use the custom `instanceof` for Writable here will also break the\n  // Node.js LazyTransform implementation, which has a non-trivial getter for\n  // `_writableState` that would lead to infinite recursion.\n  if (!realHasInstance.call(Writable, this) && !(this instanceof Duplex)) {\n    return new Writable(options);\n  }\n\n  this._writableState = new WritableState(options, this);\n\n  // legacy.\n  this.writable = true;\n\n  if (options) {\n    if (typeof options.write === 'function') this._write = options.write;\n\n    if (typeof options.writev === 'function') this._writev = options.writev;\n\n    if (typeof options.destroy === 'function') this._destroy = options.destroy;\n\n    if (typeof options.final === 'function') this._final = options.final;\n  }\n\n  Stream.call(this);\n}\n\n// Otherwise people can pipe Writable streams, which is just wrong.\nWritable.prototype.pipe = function () {\n  this.emit('error', new Error('Cannot pipe, not readable'));\n};\n\nfunction writeAfterEnd(stream, cb) {\n  var er = new Error('write after end');\n  // TODO: defer error events consistently everywhere, not just the cb\n  stream.emit('error', er);\n  pna.nextTick(cb, er);\n}\n\n// Checks that a user-supplied chunk is valid, especially for the particular\n// mode the stream is in. Currently this means that `null` is never accepted\n// and undefined/non-string values are only allowed in object mode.\nfunction validChunk(stream, state, chunk, cb) {\n  var valid = true;\n  var er = false;\n\n  if (chunk === null) {\n    er = new TypeError('May not write null values to stream');\n  } else if (typeof chunk !== 'string' && chunk !== undefined && !state.objectMode) {\n    er = new TypeError('Invalid non-string/buffer chunk');\n  }\n  if (er) {\n    stream.emit('error', er);\n    pna.nextTick(cb, er);\n    valid = false;\n  }\n  return valid;\n}\n\nWritable.prototype.write = function (chunk, encoding, cb) {\n  var state = this._writableState;\n  var ret = false;\n  var isBuf = !state.objectMode && _isUint8Array(chunk);\n\n  if (isBuf && !Buffer.isBuffer(chunk)) {\n    chunk = _uint8ArrayToBuffer(chunk);\n  }\n\n  if (typeof encoding === 'function') {\n    cb = encoding;\n    encoding = null;\n  }\n\n  if (isBuf) encoding = 'buffer';else if (!encoding) encoding = state.defaultEncoding;\n\n  if (typeof cb !== 'function') cb = nop;\n\n  if (state.ended) writeAfterEnd(this, cb);else if (isBuf || validChunk(this, state, chunk, cb)) {\n    state.pendingcb++;\n    ret = writeOrBuffer(this, state, isBuf, chunk, encoding, cb);\n  }\n\n  return ret;\n};\n\nWritable.prototype.cork = function () {\n  var state = this._writableState;\n\n  state.corked++;\n};\n\nWritable.prototype.uncork = function () {\n  var state = this._writableState;\n\n  if (state.corked) {\n    state.corked--;\n\n    if (!state.writing && !state.corked && !state.bufferProcessing && state.bufferedRequest) clearBuffer(this, state);\n  }\n};\n\nWritable.prototype.setDefaultEncoding = function setDefaultEncoding(encoding) {\n  // node::ParseEncoding() requires lower case.\n  if (typeof encoding === 'string') encoding = encoding.toLowerCase();\n  if (!(['hex', 'utf8', 'utf-8', 'ascii', 'binary', 'base64', 'ucs2', 'ucs-2', 'utf16le', 'utf-16le', 'raw'].indexOf((encoding + '').toLowerCase()) > -1)) throw new TypeError('Unknown encoding: ' + encoding);\n  this._writableState.defaultEncoding = encoding;\n  return this;\n};\n\nfunction decodeChunk(state, chunk, encoding) {\n  if (!state.objectMode && state.decodeStrings !== false && typeof chunk === 'string') {\n    chunk = Buffer.from(chunk, encoding);\n  }\n  return chunk;\n}\n\nObject.defineProperty(Writable.prototype, 'writableHighWaterMark', {\n  // making it explicit this property is not enumerable\n  // because otherwise some prototype manipulation in\n  // userland will fail\n  enumerable: false,\n  get: function () {\n    return this._writableState.highWaterMark;\n  }\n});\n\n// if we're already writing something, then just put this\n// in the queue, and wait our turn.  Otherwise, call _write\n// If we return false, then we need a drain event, so set that flag.\nfunction writeOrBuffer(stream, state, isBuf, chunk, encoding, cb) {\n  if (!isBuf) {\n    var newChunk = decodeChunk(state, chunk, encoding);\n    if (chunk !== newChunk) {\n      isBuf = true;\n      encoding = 'buffer';\n      chunk = newChunk;\n    }\n  }\n  var len = state.objectMode ? 1 : chunk.length;\n\n  state.length += len;\n\n  var ret = state.length < state.highWaterMark;\n  // we must ensure that previous needDrain will not be reset to false.\n  if (!ret) state.needDrain = true;\n\n  if (state.writing || state.corked) {\n    var last = state.lastBufferedRequest;\n    state.lastBufferedRequest = {\n      chunk: chunk,\n      encoding: encoding,\n      isBuf: isBuf,\n      callback: cb,\n      next: null\n    };\n    if (last) {\n      last.next = state.lastBufferedRequest;\n    } else {\n      state.bufferedRequest = state.lastBufferedRequest;\n    }\n    state.bufferedRequestCount += 1;\n  } else {\n    doWrite(stream, state, false, len, chunk, encoding, cb);\n  }\n\n  return ret;\n}\n\nfunction doWrite(stream, state, writev, len, chunk, encoding, cb) {\n  state.writelen = len;\n  state.writecb = cb;\n  state.writing = true;\n  state.sync = true;\n  if (writev) stream._writev(chunk, state.onwrite);else stream._write(chunk, encoding, state.onwrite);\n  state.sync = false;\n}\n\nfunction onwriteError(stream, state, sync, er, cb) {\n  --state.pendingcb;\n\n  if (sync) {\n    // defer the callback if we are being called synchronously\n    // to avoid piling up things on the stack\n    pna.nextTick(cb, er);\n    // this can emit finish, and it will always happen\n    // after error\n    pna.nextTick(finishMaybe, stream, state);\n    stream._writableState.errorEmitted = true;\n    stream.emit('error', er);\n  } else {\n    // the caller expect this to happen before if\n    // it is async\n    cb(er);\n    stream._writableState.errorEmitted = true;\n    stream.emit('error', er);\n    // this can emit finish, but finish must\n    // always follow error\n    finishMaybe(stream, state);\n  }\n}\n\nfunction onwriteStateUpdate(state) {\n  state.writing = false;\n  state.writecb = null;\n  state.length -= state.writelen;\n  state.writelen = 0;\n}\n\nfunction onwrite(stream, er) {\n  var state = stream._writableState;\n  var sync = state.sync;\n  var cb = state.writecb;\n\n  onwriteStateUpdate(state);\n\n  if (er) onwriteError(stream, state, sync, er, cb);else {\n    // Check if we're actually ready to finish, but don't emit yet\n    var finished = needFinish(state);\n\n    if (!finished && !state.corked && !state.bufferProcessing && state.bufferedRequest) {\n      clearBuffer(stream, state);\n    }\n\n    if (sync) {\n      /*<replacement>*/\n      asyncWrite(afterWrite, stream, state, finished, cb);\n      /*</replacement>*/\n    } else {\n      afterWrite(stream, state, finished, cb);\n    }\n  }\n}\n\nfunction afterWrite(stream, state, finished, cb) {\n  if (!finished) onwriteDrain(stream, state);\n  state.pendingcb--;\n  cb();\n  finishMaybe(stream, state);\n}\n\n// Must force callback to be called on nextTick, so that we don't\n// emit 'drain' before the write() consumer gets the 'false' return\n// value, and has a chance to attach a 'drain' listener.\nfunction onwriteDrain(stream, state) {\n  if (state.length === 0 && state.needDrain) {\n    state.needDrain = false;\n    stream.emit('drain');\n  }\n}\n\n// if there's something in the buffer waiting, then process it\nfunction clearBuffer(stream, state) {\n  state.bufferProcessing = true;\n  var entry = state.bufferedRequest;\n\n  if (stream._writev && entry && entry.next) {\n    // Fast case, write everything using _writev()\n    var l = state.bufferedRequestCount;\n    var buffer = new Array(l);\n    var holder = state.corkedRequestsFree;\n    holder.entry = entry;\n\n    var count = 0;\n    var allBuffers = true;\n    while (entry) {\n      buffer[count] = entry;\n      if (!entry.isBuf) allBuffers = false;\n      entry = entry.next;\n      count += 1;\n    }\n    buffer.allBuffers = allBuffers;\n\n    doWrite(stream, state, true, state.length, buffer, '', holder.finish);\n\n    // doWrite is almost always async, defer these to save a bit of time\n    // as the hot path ends with doWrite\n    state.pendingcb++;\n    state.lastBufferedRequest = null;\n    if (holder.next) {\n      state.corkedRequestsFree = holder.next;\n      holder.next = null;\n    } else {\n      state.corkedRequestsFree = new CorkedRequest(state);\n    }\n    state.bufferedRequestCount = 0;\n  } else {\n    // Slow case, write chunks one-by-one\n    while (entry) {\n      var chunk = entry.chunk;\n      var encoding = entry.encoding;\n      var cb = entry.callback;\n      var len = state.objectMode ? 1 : chunk.length;\n\n      doWrite(stream, state, false, len, chunk, encoding, cb);\n      entry = entry.next;\n      state.bufferedRequestCount--;\n      // if we didn't call the onwrite immediately, then\n      // it means that we need to wait until it does.\n      // also, that means that the chunk and cb are currently\n      // being processed, so move the buffer counter past them.\n      if (state.writing) {\n        break;\n      }\n    }\n\n    if (entry === null) state.lastBufferedRequest = null;\n  }\n\n  state.bufferedRequest = entry;\n  state.bufferProcessing = false;\n}\n\nWritable.prototype._write = function (chunk, encoding, cb) {\n  cb(new Error('_write() is not implemented'));\n};\n\nWritable.prototype._writev = null;\n\nWritable.prototype.end = function (chunk, encoding, cb) {\n  var state = this._writableState;\n\n  if (typeof chunk === 'function') {\n    cb = chunk;\n    chunk = null;\n    encoding = null;\n  } else if (typeof encoding === 'function') {\n    cb = encoding;\n    encoding = null;\n  }\n\n  if (chunk !== null && chunk !== undefined) this.write(chunk, encoding);\n\n  // .end() fully uncorks\n  if (state.corked) {\n    state.corked = 1;\n    this.uncork();\n  }\n\n  // ignore unnecessary end() calls.\n  if (!state.ending) endWritable(this, state, cb);\n};\n\nfunction needFinish(state) {\n  return state.ending && state.length === 0 && state.bufferedRequest === null && !state.finished && !state.writing;\n}\nfunction callFinal(stream, state) {\n  stream._final(function (err) {\n    state.pendingcb--;\n    if (err) {\n      stream.emit('error', err);\n    }\n    state.prefinished = true;\n    stream.emit('prefinish');\n    finishMaybe(stream, state);\n  });\n}\nfunction prefinish(stream, state) {\n  if (!state.prefinished && !state.finalCalled) {\n    if (typeof stream._final === 'function') {\n      state.pendingcb++;\n      state.finalCalled = true;\n      pna.nextTick(callFinal, stream, state);\n    } else {\n      state.prefinished = true;\n      stream.emit('prefinish');\n    }\n  }\n}\n\nfunction finishMaybe(stream, state) {\n  var need = needFinish(state);\n  if (need) {\n    prefinish(stream, state);\n    if (state.pendingcb === 0) {\n      state.finished = true;\n      stream.emit('finish');\n    }\n  }\n  return need;\n}\n\nfunction endWritable(stream, state, cb) {\n  state.ending = true;\n  finishMaybe(stream, state);\n  if (cb) {\n    if (state.finished) pna.nextTick(cb);else stream.once('finish', cb);\n  }\n  state.ended = true;\n  stream.writable = false;\n}\n\nfunction onCorkedFinish(corkReq, state, err) {\n  var entry = corkReq.entry;\n  corkReq.entry = null;\n  while (entry) {\n    var cb = entry.callback;\n    state.pendingcb--;\n    cb(err);\n    entry = entry.next;\n  }\n\n  // reuse the free corkReq.\n  state.corkedRequestsFree.next = corkReq;\n}\n\nObject.defineProperty(Writable.prototype, 'destroyed', {\n  get: function () {\n    if (this._writableState === undefined) {\n      return false;\n    }\n    return this._writableState.destroyed;\n  },\n  set: function (value) {\n    // we ignore the value if the stream\n    // has not been initialized yet\n    if (!this._writableState) {\n      return;\n    }\n\n    // backward compatibility, the user is explicitly\n    // managing destroyed\n    this._writableState.destroyed = value;\n  }\n});\n\nWritable.prototype.destroy = destroyImpl.destroy;\nWritable.prototype._undestroy = destroyImpl.undestroy;\nWritable.prototype._destroy = function (err, cb) {\n  this.end();\n  cb(err);\n};","'use strict';\n\nvar BN = require('bn.js');\nvar inherits = require('inherits');\nvar Base = require('./base');\n\nvar utils = require('../utils');\n\nfunction MontCurve(conf) {\n  Base.call(this, 'mont', conf);\n\n  this.a = new BN(conf.a, 16).toRed(this.red);\n  this.b = new BN(conf.b, 16).toRed(this.red);\n  this.i4 = new BN(4).toRed(this.red).redInvm();\n  this.two = new BN(2).toRed(this.red);\n  this.a24 = this.i4.redMul(this.a.redAdd(this.two));\n}\ninherits(MontCurve, Base);\nmodule.exports = MontCurve;\n\nMontCurve.prototype.validate = function validate(point) {\n  var x = point.normalize().x;\n  var x2 = x.redSqr();\n  var rhs = x2.redMul(x).redAdd(x2.redMul(this.a)).redAdd(x);\n  var y = rhs.redSqrt();\n\n  return y.redSqr().cmp(rhs) === 0;\n};\n\nfunction Point(curve, x, z) {\n  Base.BasePoint.call(this, curve, 'projective');\n  if (x === null && z === null) {\n    this.x = this.curve.one;\n    this.z = this.curve.zero;\n  } else {\n    this.x = new BN(x, 16);\n    this.z = new BN(z, 16);\n    if (!this.x.red)\n      this.x = this.x.toRed(this.curve.red);\n    if (!this.z.red)\n      this.z = this.z.toRed(this.curve.red);\n  }\n}\ninherits(Point, Base.BasePoint);\n\nMontCurve.prototype.decodePoint = function decodePoint(bytes, enc) {\n  return this.point(utils.toArray(bytes, enc), 1);\n};\n\nMontCurve.prototype.point = function point(x, z) {\n  return new Point(this, x, z);\n};\n\nMontCurve.prototype.pointFromJSON = function pointFromJSON(obj) {\n  return Point.fromJSON(this, obj);\n};\n\nPoint.prototype.precompute = function precompute() {\n  // No-op\n};\n\nPoint.prototype._encode = function _encode() {\n  return this.getX().toArray('be', this.curve.p.byteLength());\n};\n\nPoint.fromJSON = function fromJSON(curve, obj) {\n  return new Point(curve, obj[0], obj[1] || curve.one);\n};\n\nPoint.prototype.inspect = function inspect() {\n  if (this.isInfinity())\n    return '<EC Point Infinity>';\n  return '<EC Point x: ' + this.x.fromRed().toString(16, 2) +\n      ' z: ' + this.z.fromRed().toString(16, 2) + '>';\n};\n\nPoint.prototype.isInfinity = function isInfinity() {\n  // XXX This code assumes that zero is always zero in red\n  return this.z.cmpn(0) === 0;\n};\n\nPoint.prototype.dbl = function dbl() {\n  // http://hyperelliptic.org/EFD/g1p/auto-montgom-xz.html#doubling-dbl-1987-m-3\n  // 2M + 2S + 4A\n\n  // A = X1 + Z1\n  var a = this.x.redAdd(this.z);\n  // AA = A^2\n  var aa = a.redSqr();\n  // B = X1 - Z1\n  var b = this.x.redSub(this.z);\n  // BB = B^2\n  var bb = b.redSqr();\n  // C = AA - BB\n  var c = aa.redSub(bb);\n  // X3 = AA * BB\n  var nx = aa.redMul(bb);\n  // Z3 = C * (BB + A24 * C)\n  var nz = c.redMul(bb.redAdd(this.curve.a24.redMul(c)));\n  return this.curve.point(nx, nz);\n};\n\nPoint.prototype.add = function add() {\n  throw new Error('Not supported on Montgomery curve');\n};\n\nPoint.prototype.diffAdd = function diffAdd(p, diff) {\n  // http://hyperelliptic.org/EFD/g1p/auto-montgom-xz.html#diffadd-dadd-1987-m-3\n  // 4M + 2S + 6A\n\n  // A = X2 + Z2\n  var a = this.x.redAdd(this.z);\n  // B = X2 - Z2\n  var b = this.x.redSub(this.z);\n  // C = X3 + Z3\n  var c = p.x.redAdd(p.z);\n  // D = X3 - Z3\n  var d = p.x.redSub(p.z);\n  // DA = D * A\n  var da = d.redMul(a);\n  // CB = C * B\n  var cb = c.redMul(b);\n  // X5 = Z1 * (DA + CB)^2\n  var nx = diff.z.redMul(da.redAdd(cb).redSqr());\n  // Z5 = X1 * (DA - CB)^2\n  var nz = diff.x.redMul(da.redISub(cb).redSqr());\n  return this.curve.point(nx, nz);\n};\n\nPoint.prototype.mul = function mul(k) {\n  var t = k.clone();\n  var a = this; // (N / 2) * Q + Q\n  var b = this.curve.point(null, null); // (N / 2) * Q\n  var c = this; // Q\n\n  for (var bits = []; t.cmpn(0) !== 0; t.iushrn(1))\n    bits.push(t.andln(1));\n\n  for (var i = bits.length - 1; i >= 0; i--) {\n    if (bits[i] === 0) {\n      // N * Q + Q = ((N / 2) * Q + Q)) + (N / 2) * Q\n      a = a.diffAdd(b, c);\n      // N * Q = 2 * ((N / 2) * Q + Q))\n      b = b.dbl();\n    } else {\n      // N * Q = ((N / 2) * Q + Q) + ((N / 2) * Q)\n      b = a.diffAdd(b, c);\n      // N * Q + Q = 2 * ((N / 2) * Q + Q)\n      a = a.dbl();\n    }\n  }\n  return b;\n};\n\nPoint.prototype.mulAdd = function mulAdd() {\n  throw new Error('Not supported on Montgomery curve');\n};\n\nPoint.prototype.jumlAdd = function jumlAdd() {\n  throw new Error('Not supported on Montgomery curve');\n};\n\nPoint.prototype.eq = function eq(other) {\n  return this.getX().cmp(other.getX()) === 0;\n};\n\nPoint.prototype.normalize = function normalize() {\n  this.x = this.x.redMul(this.z.redInvm());\n  this.z = this.curve.one;\n  return this;\n};\n\nPoint.prototype.getX = function getX() {\n  // Normalize coordinates\n  this.normalize();\n\n  return this.x.fromRed();\n};\n","'use strict';\n\nvar BN = require('bn.js');\n\nvar utils = require('../utils');\nvar assert = utils.assert;\n\nfunction Signature(options, enc) {\n  if (options instanceof Signature)\n    return options;\n\n  if (this._importDER(options, enc))\n    return;\n\n  assert(options.r && options.s, 'Signature without r or s');\n  this.r = new BN(options.r, 16);\n  this.s = new BN(options.s, 16);\n  if (options.recoveryParam === undefined)\n    this.recoveryParam = null;\n  else\n    this.recoveryParam = options.recoveryParam;\n}\nmodule.exports = Signature;\n\nfunction Position() {\n  this.place = 0;\n}\n\nfunction getLength(buf, p) {\n  var initial = buf[p.place++];\n  if (!(initial & 0x80)) {\n    return initial;\n  }\n  var octetLen = initial & 0xf;\n\n  // Indefinite length or overflow\n  if (octetLen === 0 || octetLen > 4) {\n    return false;\n  }\n\n  if(buf[p.place] === 0x00) {\n    return false;\n  }\n\n  var val = 0;\n  for (var i = 0, off = p.place; i < octetLen; i++, off++) {\n    val <<= 8;\n    val |= buf[off];\n    val >>>= 0;\n  }\n\n  // Leading zeroes\n  if (val <= 0x7f) {\n    return false;\n  }\n\n  p.place = off;\n  return val;\n}\n\nfunction rmPadding(buf) {\n  var i = 0;\n  var len = buf.length - 1;\n  while (!buf[i] && !(buf[i + 1] & 0x80) && i < len) {\n    i++;\n  }\n  if (i === 0) {\n    return buf;\n  }\n  return buf.slice(i);\n}\n\nSignature.prototype._importDER = function _importDER(data, enc) {\n  data = utils.toArray(data, enc);\n  var p = new Position();\n  if (data[p.place++] !== 0x30) {\n    return false;\n  }\n  var len = getLength(data, p);\n  if (len === false) {\n    return false;\n  }\n  if ((len + p.place) !== data.length) {\n    return false;\n  }\n  if (data[p.place++] !== 0x02) {\n    return false;\n  }\n  var rlen = getLength(data, p);\n  if (rlen === false) {\n    return false;\n  }\n  if ((data[p.place] & 128) !== 0) {\n    return false;\n  }\n  var r = data.slice(p.place, rlen + p.place);\n  p.place += rlen;\n  if (data[p.place++] !== 0x02) {\n    return false;\n  }\n  var slen = getLength(data, p);\n  if (slen === false) {\n    return false;\n  }\n  if (data.length !== slen + p.place) {\n    return false;\n  }\n  if ((data[p.place] & 128) !== 0) {\n    return false;\n  }\n  var s = data.slice(p.place, slen + p.place);\n  if (r[0] === 0) {\n    if (r[1] & 0x80) {\n      r = r.slice(1);\n    } else {\n      // Leading zeroes\n      return false;\n    }\n  }\n  if (s[0] === 0) {\n    if (s[1] & 0x80) {\n      s = s.slice(1);\n    } else {\n      // Leading zeroes\n      return false;\n    }\n  }\n\n  this.r = new BN(r);\n  this.s = new BN(s);\n  this.recoveryParam = null;\n\n  return true;\n};\n\nfunction constructLength(arr, len) {\n  if (len < 0x80) {\n    arr.push(len);\n    return;\n  }\n  var octets = 1 + (Math.log(len) / Math.LN2 >>> 3);\n  arr.push(octets | 0x80);\n  while (--octets) {\n    arr.push((len >>> (octets << 3)) & 0xff);\n  }\n  arr.push(len);\n}\n\nSignature.prototype.toDER = function toDER(enc) {\n  var r = this.r.toArray();\n  var s = this.s.toArray();\n\n  // Pad values\n  if (r[0] & 0x80)\n    r = [ 0 ].concat(r);\n  // Pad values\n  if (s[0] & 0x80)\n    s = [ 0 ].concat(s);\n\n  r = rmPadding(r);\n  s = rmPadding(s);\n\n  while (!s[0] && !(s[1] & 0x80)) {\n    s = s.slice(1);\n  }\n  var arr = [ 0x02 ];\n  constructLength(arr, r.length);\n  arr = arr.concat(r);\n  arr.push(0x02);\n  constructLength(arr, s.length);\n  var backHalf = arr.concat(s);\n  var res = [ 0x30 ];\n  constructLength(res, backHalf.length);\n  res = res.concat(backHalf);\n  return utils.encode(res, enc);\n};\n","(function (module, exports) {\n  'use strict';\n\n  // Utils\n  function assert (val, msg) {\n    if (!val) throw new Error(msg || 'Assertion failed');\n  }\n\n  // Could use `inherits` module, but don't want to move from single file\n  // architecture yet.\n  function inherits (ctor, superCtor) {\n    ctor.super_ = superCtor;\n    var TempCtor = function () {};\n    TempCtor.prototype = superCtor.prototype;\n    ctor.prototype = new TempCtor();\n    ctor.prototype.constructor = ctor;\n  }\n\n  // BN\n\n  function BN (number, base, endian) {\n    if (BN.isBN(number)) {\n      return number;\n    }\n\n    this.negative = 0;\n    this.words = null;\n    this.length = 0;\n\n    // Reduction context\n    this.red = null;\n\n    if (number !== null) {\n      if (base === 'le' || base === 'be') {\n        endian = base;\n        base = 10;\n      }\n\n      this._init(number || 0, base || 10, endian || 'be');\n    }\n  }\n  if (typeof module === 'object') {\n    module.exports = BN;\n  } else {\n    exports.BN = BN;\n  }\n\n  BN.BN = BN;\n  BN.wordSize = 26;\n\n  var Buffer;\n  try {\n    if (typeof window !== 'undefined' && typeof window.Buffer !== 'undefined') {\n      Buffer = window.Buffer;\n    } else {\n      Buffer = require('buffer').Buffer;\n    }\n  } catch (e) {\n  }\n\n  BN.isBN = function isBN (num) {\n    if (num instanceof BN) {\n      return true;\n    }\n\n    return num !== null && typeof num === 'object' &&\n      num.constructor.wordSize === BN.wordSize && Array.isArray(num.words);\n  };\n\n  BN.max = function max (left, right) {\n    if (left.cmp(right) > 0) return left;\n    return right;\n  };\n\n  BN.min = function min (left, right) {\n    if (left.cmp(right) < 0) return left;\n    return right;\n  };\n\n  BN.prototype._init = function init (number, base, endian) {\n    if (typeof number === 'number') {\n      return this._initNumber(number, base, endian);\n    }\n\n    if (typeof number === 'object') {\n      return this._initArray(number, base, endian);\n    }\n\n    if (base === 'hex') {\n      base = 16;\n    }\n    assert(base === (base | 0) && base >= 2 && base <= 36);\n\n    number = number.toString().replace(/\\s+/g, '');\n    var start = 0;\n    if (number[0] === '-') {\n      start++;\n      this.negative = 1;\n    }\n\n    if (start < number.length) {\n      if (base === 16) {\n        this._parseHex(number, start, endian);\n      } else {\n        this._parseBase(number, base, start);\n        if (endian === 'le') {\n          this._initArray(this.toArray(), base, endian);\n        }\n      }\n    }\n  };\n\n  BN.prototype._initNumber = function _initNumber (number, base, endian) {\n    if (number < 0) {\n      this.negative = 1;\n      number = -number;\n    }\n    if (number < 0x4000000) {\n      this.words = [ number & 0x3ffffff ];\n      this.length = 1;\n    } else if (number < 0x10000000000000) {\n      this.words = [\n        number & 0x3ffffff,\n        (number / 0x4000000) & 0x3ffffff\n      ];\n      this.length = 2;\n    } else {\n      assert(number < 0x20000000000000); // 2 ^ 53 (unsafe)\n      this.words = [\n        number & 0x3ffffff,\n        (number / 0x4000000) & 0x3ffffff,\n        1\n      ];\n      this.length = 3;\n    }\n\n    if (endian !== 'le') return;\n\n    // Reverse the bytes\n    this._initArray(this.toArray(), base, endian);\n  };\n\n  BN.prototype._initArray = function _initArray (number, base, endian) {\n    // Perhaps a Uint8Array\n    assert(typeof number.length === 'number');\n    if (number.length <= 0) {\n      this.words = [ 0 ];\n      this.length = 1;\n      return this;\n    }\n\n    this.length = Math.ceil(number.length / 3);\n    this.words = new Array(this.length);\n    for (var i = 0; i < this.length; i++) {\n      this.words[i] = 0;\n    }\n\n    var j, w;\n    var off = 0;\n    if (endian === 'be') {\n      for (i = number.length - 1, j = 0; i >= 0; i -= 3) {\n        w = number[i] | (number[i - 1] << 8) | (number[i - 2] << 16);\n        this.words[j] |= (w << off) & 0x3ffffff;\n        this.words[j + 1] = (w >>> (26 - off)) & 0x3ffffff;\n        off += 24;\n        if (off >= 26) {\n          off -= 26;\n          j++;\n        }\n      }\n    } else if (endian === 'le') {\n      for (i = 0, j = 0; i < number.length; i += 3) {\n        w = number[i] | (number[i + 1] << 8) | (number[i + 2] << 16);\n        this.words[j] |= (w << off) & 0x3ffffff;\n        this.words[j + 1] = (w >>> (26 - off)) & 0x3ffffff;\n        off += 24;\n        if (off >= 26) {\n          off -= 26;\n          j++;\n        }\n      }\n    }\n    return this.strip();\n  };\n\n  function parseHex4Bits (string, index) {\n    var c = string.charCodeAt(index);\n    // 'A' - 'F'\n    if (c >= 65 && c <= 70) {\n      return c - 55;\n    // 'a' - 'f'\n    } else if (c >= 97 && c <= 102) {\n      return c - 87;\n    // '0' - '9'\n    } else {\n      return (c - 48) & 0xf;\n    }\n  }\n\n  function parseHexByte (string, lowerBound, index) {\n    var r = parseHex4Bits(string, index);\n    if (index - 1 >= lowerBound) {\n      r |= parseHex4Bits(string, index - 1) << 4;\n    }\n    return r;\n  }\n\n  BN.prototype._parseHex = function _parseHex (number, start, endian) {\n    // Create possibly bigger array to ensure that it fits the number\n    this.length = Math.ceil((number.length - start) / 6);\n    this.words = new Array(this.length);\n    for (var i = 0; i < this.length; i++) {\n      this.words[i] = 0;\n    }\n\n    // 24-bits chunks\n    var off = 0;\n    var j = 0;\n\n    var w;\n    if (endian === 'be') {\n      for (i = number.length - 1; i >= start; i -= 2) {\n        w = parseHexByte(number, start, i) << off;\n        this.words[j] |= w & 0x3ffffff;\n        if (off >= 18) {\n          off -= 18;\n          j += 1;\n          this.words[j] |= w >>> 26;\n        } else {\n          off += 8;\n        }\n      }\n    } else {\n      var parseLength = number.length - start;\n      for (i = parseLength % 2 === 0 ? start + 1 : start; i < number.length; i += 2) {\n        w = parseHexByte(number, start, i) << off;\n        this.words[j] |= w & 0x3ffffff;\n        if (off >= 18) {\n          off -= 18;\n          j += 1;\n          this.words[j] |= w >>> 26;\n        } else {\n          off += 8;\n        }\n      }\n    }\n\n    this.strip();\n  };\n\n  function parseBase (str, start, end, mul) {\n    var r = 0;\n    var len = Math.min(str.length, end);\n    for (var i = start; i < len; i++) {\n      var c = str.charCodeAt(i) - 48;\n\n      r *= mul;\n\n      // 'a'\n      if (c >= 49) {\n        r += c - 49 + 0xa;\n\n      // 'A'\n      } else if (c >= 17) {\n        r += c - 17 + 0xa;\n\n      // '0' - '9'\n      } else {\n        r += c;\n      }\n    }\n    return r;\n  }\n\n  BN.prototype._parseBase = function _parseBase (number, base, start) {\n    // Initialize as zero\n    this.words = [ 0 ];\n    this.length = 1;\n\n    // Find length of limb in base\n    for (var limbLen = 0, limbPow = 1; limbPow <= 0x3ffffff; limbPow *= base) {\n      limbLen++;\n    }\n    limbLen--;\n    limbPow = (limbPow / base) | 0;\n\n    var total = number.length - start;\n    var mod = total % limbLen;\n    var end = Math.min(total, total - mod) + start;\n\n    var word = 0;\n    for (var i = start; i < end; i += limbLen) {\n      word = parseBase(number, i, i + limbLen, base);\n\n      this.imuln(limbPow);\n      if (this.words[0] + word < 0x4000000) {\n        this.words[0] += word;\n      } else {\n        this._iaddn(word);\n      }\n    }\n\n    if (mod !== 0) {\n      var pow = 1;\n      word = parseBase(number, i, number.length, base);\n\n      for (i = 0; i < mod; i++) {\n        pow *= base;\n      }\n\n      this.imuln(pow);\n      if (this.words[0] + word < 0x4000000) {\n        this.words[0] += word;\n      } else {\n        this._iaddn(word);\n      }\n    }\n\n    this.strip();\n  };\n\n  BN.prototype.copy = function copy (dest) {\n    dest.words = new Array(this.length);\n    for (var i = 0; i < this.length; i++) {\n      dest.words[i] = this.words[i];\n    }\n    dest.length = this.length;\n    dest.negative = this.negative;\n    dest.red = this.red;\n  };\n\n  BN.prototype.clone = function clone () {\n    var r = new BN(null);\n    this.copy(r);\n    return r;\n  };\n\n  BN.prototype._expand = function _expand (size) {\n    while (this.length < size) {\n      this.words[this.length++] = 0;\n    }\n    return this;\n  };\n\n  // Remove leading `0` from `this`\n  BN.prototype.strip = function strip () {\n    while (this.length > 1 && this.words[this.length - 1] === 0) {\n      this.length--;\n    }\n    return this._normSign();\n  };\n\n  BN.prototype._normSign = function _normSign () {\n    // -0 = 0\n    if (this.length === 1 && this.words[0] === 0) {\n      this.negative = 0;\n    }\n    return this;\n  };\n\n  BN.prototype.inspect = function inspect () {\n    return (this.red ? '<BN-R: ' : '<BN: ') + this.toString(16) + '>';\n  };\n\n  /*\n\n  var zeros = [];\n  var groupSizes = [];\n  var groupBases = [];\n\n  var s = '';\n  var i = -1;\n  while (++i < BN.wordSize) {\n    zeros[i] = s;\n    s += '0';\n  }\n  groupSizes[0] = 0;\n  groupSizes[1] = 0;\n  groupBases[0] = 0;\n  groupBases[1] = 0;\n  var base = 2 - 1;\n  while (++base < 36 + 1) {\n    var groupSize = 0;\n    var groupBase = 1;\n    while (groupBase < (1 << BN.wordSize) / base) {\n      groupBase *= base;\n      groupSize += 1;\n    }\n    groupSizes[base] = groupSize;\n    groupBases[base] = groupBase;\n  }\n\n  */\n\n  var zeros = [\n    '',\n    '0',\n    '00',\n    '000',\n    '0000',\n    '00000',\n    '000000',\n    '0000000',\n    '00000000',\n    '000000000',\n    '0000000000',\n    '00000000000',\n    '000000000000',\n    '0000000000000',\n    '00000000000000',\n    '000000000000000',\n    '0000000000000000',\n    '00000000000000000',\n    '000000000000000000',\n    '0000000000000000000',\n    '00000000000000000000',\n    '000000000000000000000',\n    '0000000000000000000000',\n    '00000000000000000000000',\n    '000000000000000000000000',\n    '0000000000000000000000000'\n  ];\n\n  var groupSizes = [\n    0, 0,\n    25, 16, 12, 11, 10, 9, 8,\n    8, 7, 7, 7, 7, 6, 6,\n    6, 6, 6, 6, 6, 5, 5,\n    5, 5, 5, 5, 5, 5, 5,\n    5, 5, 5, 5, 5, 5, 5\n  ];\n\n  var groupBases = [\n    0, 0,\n    33554432, 43046721, 16777216, 48828125, 60466176, 40353607, 16777216,\n    43046721, 10000000, 19487171, 35831808, 62748517, 7529536, 11390625,\n    16777216, 24137569, 34012224, 47045881, 64000000, 4084101, 5153632,\n    6436343, 7962624, 9765625, 11881376, 14348907, 17210368, 20511149,\n    24300000, 28629151, 33554432, 39135393, 45435424, 52521875, 60466176\n  ];\n\n  BN.prototype.toString = function toString (base, padding) {\n    base = base || 10;\n    padding = padding | 0 || 1;\n\n    var out;\n    if (base === 16 || base === 'hex') {\n      out = '';\n      var off = 0;\n      var carry = 0;\n      for (var i = 0; i < this.length; i++) {\n        var w = this.words[i];\n        var word = (((w << off) | carry) & 0xffffff).toString(16);\n        carry = (w >>> (24 - off)) & 0xffffff;\n        if (carry !== 0 || i !== this.length - 1) {\n          out = zeros[6 - word.length] + word + out;\n        } else {\n          out = word + out;\n        }\n        off += 2;\n        if (off >= 26) {\n          off -= 26;\n          i--;\n        }\n      }\n      if (carry !== 0) {\n        out = carry.toString(16) + out;\n      }\n      while (out.length % padding !== 0) {\n        out = '0' + out;\n      }\n      if (this.negative !== 0) {\n        out = '-' + out;\n      }\n      return out;\n    }\n\n    if (base === (base | 0) && base >= 2 && base <= 36) {\n      // var groupSize = Math.floor(BN.wordSize * Math.LN2 / Math.log(base));\n      var groupSize = groupSizes[base];\n      // var groupBase = Math.pow(base, groupSize);\n      var groupBase = groupBases[base];\n      out = '';\n      var c = this.clone();\n      c.negative = 0;\n      while (!c.isZero()) {\n        var r = c.modn(groupBase).toString(base);\n        c = c.idivn(groupBase);\n\n        if (!c.isZero()) {\n          out = zeros[groupSize - r.length] + r + out;\n        } else {\n          out = r + out;\n        }\n      }\n      if (this.isZero()) {\n        out = '0' + out;\n      }\n      while (out.length % padding !== 0) {\n        out = '0' + out;\n      }\n      if (this.negative !== 0) {\n        out = '-' + out;\n      }\n      return out;\n    }\n\n    assert(false, 'Base should be between 2 and 36');\n  };\n\n  BN.prototype.toNumber = function toNumber () {\n    var ret = this.words[0];\n    if (this.length === 2) {\n      ret += this.words[1] * 0x4000000;\n    } else if (this.length === 3 && this.words[2] === 0x01) {\n      // NOTE: at this stage it is known that the top bit is set\n      ret += 0x10000000000000 + (this.words[1] * 0x4000000);\n    } else if (this.length > 2) {\n      assert(false, 'Number can only safely store up to 53 bits');\n    }\n    return (this.negative !== 0) ? -ret : ret;\n  };\n\n  BN.prototype.toJSON = function toJSON () {\n    return this.toString(16);\n  };\n\n  BN.prototype.toBuffer = function toBuffer (endian, length) {\n    assert(typeof Buffer !== 'undefined');\n    return this.toArrayLike(Buffer, endian, length);\n  };\n\n  BN.prototype.toArray = function toArray (endian, length) {\n    return this.toArrayLike(Array, endian, length);\n  };\n\n  BN.prototype.toArrayLike = function toArrayLike (ArrayType, endian, length) {\n    var byteLength = this.byteLength();\n    var reqLength = length || Math.max(1, byteLength);\n    assert(byteLength <= reqLength, 'byte array longer than desired length');\n    assert(reqLength > 0, 'Requested array length <= 0');\n\n    this.strip();\n    var littleEndian = endian === 'le';\n    var res = new ArrayType(reqLength);\n\n    var b, i;\n    var q = this.clone();\n    if (!littleEndian) {\n      // Assume big-endian\n      for (i = 0; i < reqLength - byteLength; i++) {\n        res[i] = 0;\n      }\n\n      for (i = 0; !q.isZero(); i++) {\n        b = q.andln(0xff);\n        q.iushrn(8);\n\n        res[reqLength - i - 1] = b;\n      }\n    } else {\n      for (i = 0; !q.isZero(); i++) {\n        b = q.andln(0xff);\n        q.iushrn(8);\n\n        res[i] = b;\n      }\n\n      for (; i < reqLength; i++) {\n        res[i] = 0;\n      }\n    }\n\n    return res;\n  };\n\n  if (Math.clz32) {\n    BN.prototype._countBits = function _countBits (w) {\n      return 32 - Math.clz32(w);\n    };\n  } else {\n    BN.prototype._countBits = function _countBits (w) {\n      var t = w;\n      var r = 0;\n      if (t >= 0x1000) {\n        r += 13;\n        t >>>= 13;\n      }\n      if (t >= 0x40) {\n        r += 7;\n        t >>>= 7;\n      }\n      if (t >= 0x8) {\n        r += 4;\n        t >>>= 4;\n      }\n      if (t >= 0x02) {\n        r += 2;\n        t >>>= 2;\n      }\n      return r + t;\n    };\n  }\n\n  BN.prototype._zeroBits = function _zeroBits (w) {\n    // Short-cut\n    if (w === 0) return 26;\n\n    var t = w;\n    var r = 0;\n    if ((t & 0x1fff) === 0) {\n      r += 13;\n      t >>>= 13;\n    }\n    if ((t & 0x7f) === 0) {\n      r += 7;\n      t >>>= 7;\n    }\n    if ((t & 0xf) === 0) {\n      r += 4;\n      t >>>= 4;\n    }\n    if ((t & 0x3) === 0) {\n      r += 2;\n      t >>>= 2;\n    }\n    if ((t & 0x1) === 0) {\n      r++;\n    }\n    return r;\n  };\n\n  // Return number of used bits in a BN\n  BN.prototype.bitLength = function bitLength () {\n    var w = this.words[this.length - 1];\n    var hi = this._countBits(w);\n    return (this.length - 1) * 26 + hi;\n  };\n\n  function toBitArray (num) {\n    var w = new Array(num.bitLength());\n\n    for (var bit = 0; bit < w.length; bit++) {\n      var off = (bit / 26) | 0;\n      var wbit = bit % 26;\n\n      w[bit] = (num.words[off] & (1 << wbit)) >>> wbit;\n    }\n\n    return w;\n  }\n\n  // Number of trailing zero bits\n  BN.prototype.zeroBits = function zeroBits () {\n    if (this.isZero()) return 0;\n\n    var r = 0;\n    for (var i = 0; i < this.length; i++) {\n      var b = this._zeroBits(this.words[i]);\n      r += b;\n      if (b !== 26) break;\n    }\n    return r;\n  };\n\n  BN.prototype.byteLength = function byteLength () {\n    return Math.ceil(this.bitLength() / 8);\n  };\n\n  BN.prototype.toTwos = function toTwos (width) {\n    if (this.negative !== 0) {\n      return this.abs().inotn(width).iaddn(1);\n    }\n    return this.clone();\n  };\n\n  BN.prototype.fromTwos = function fromTwos (width) {\n    if (this.testn(width - 1)) {\n      return this.notn(width).iaddn(1).ineg();\n    }\n    return this.clone();\n  };\n\n  BN.prototype.isNeg = function isNeg () {\n    return this.negative !== 0;\n  };\n\n  // Return negative clone of `this`\n  BN.prototype.neg = function neg () {\n    return this.clone().ineg();\n  };\n\n  BN.prototype.ineg = function ineg () {\n    if (!this.isZero()) {\n      this.negative ^= 1;\n    }\n\n    return this;\n  };\n\n  // Or `num` with `this` in-place\n  BN.prototype.iuor = function iuor (num) {\n    while (this.length < num.length) {\n      this.words[this.length++] = 0;\n    }\n\n    for (var i = 0; i < num.length; i++) {\n      this.words[i] = this.words[i] | num.words[i];\n    }\n\n    return this.strip();\n  };\n\n  BN.prototype.ior = function ior (num) {\n    assert((this.negative | num.negative) === 0);\n    return this.iuor(num);\n  };\n\n  // Or `num` with `this`\n  BN.prototype.or = function or (num) {\n    if (this.length > num.length) return this.clone().ior(num);\n    return num.clone().ior(this);\n  };\n\n  BN.prototype.uor = function uor (num) {\n    if (this.length > num.length) return this.clone().iuor(num);\n    return num.clone().iuor(this);\n  };\n\n  // And `num` with `this` in-place\n  BN.prototype.iuand = function iuand (num) {\n    // b = min-length(num, this)\n    var b;\n    if (this.length > num.length) {\n      b = num;\n    } else {\n      b = this;\n    }\n\n    for (var i = 0; i < b.length; i++) {\n      this.words[i] = this.words[i] & num.words[i];\n    }\n\n    this.length = b.length;\n\n    return this.strip();\n  };\n\n  BN.prototype.iand = function iand (num) {\n    assert((this.negative | num.negative) === 0);\n    return this.iuand(num);\n  };\n\n  // And `num` with `this`\n  BN.prototype.and = function and (num) {\n    if (this.length > num.length) return this.clone().iand(num);\n    return num.clone().iand(this);\n  };\n\n  BN.prototype.uand = function uand (num) {\n    if (this.length > num.length) return this.clone().iuand(num);\n    return num.clone().iuand(this);\n  };\n\n  // Xor `num` with `this` in-place\n  BN.prototype.iuxor = function iuxor (num) {\n    // a.length > b.length\n    var a;\n    var b;\n    if (this.length > num.length) {\n      a = this;\n      b = num;\n    } else {\n      a = num;\n      b = this;\n    }\n\n    for (var i = 0; i < b.length; i++) {\n      this.words[i] = a.words[i] ^ b.words[i];\n    }\n\n    if (this !== a) {\n      for (; i < a.length; i++) {\n        this.words[i] = a.words[i];\n      }\n    }\n\n    this.length = a.length;\n\n    return this.strip();\n  };\n\n  BN.prototype.ixor = function ixor (num) {\n    assert((this.negative | num.negative) === 0);\n    return this.iuxor(num);\n  };\n\n  // Xor `num` with `this`\n  BN.prototype.xor = function xor (num) {\n    if (this.length > num.length) return this.clone().ixor(num);\n    return num.clone().ixor(this);\n  };\n\n  BN.prototype.uxor = function uxor (num) {\n    if (this.length > num.length) return this.clone().iuxor(num);\n    return num.clone().iuxor(this);\n  };\n\n  // Not ``this`` with ``width`` bitwidth\n  BN.prototype.inotn = function inotn (width) {\n    assert(typeof width === 'number' && width >= 0);\n\n    var bytesNeeded = Math.ceil(width / 26) | 0;\n    var bitsLeft = width % 26;\n\n    // Extend the buffer with leading zeroes\n    this._expand(bytesNeeded);\n\n    if (bitsLeft > 0) {\n      bytesNeeded--;\n    }\n\n    // Handle complete words\n    for (var i = 0; i < bytesNeeded; i++) {\n      this.words[i] = ~this.words[i] & 0x3ffffff;\n    }\n\n    // Handle the residue\n    if (bitsLeft > 0) {\n      this.words[i] = ~this.words[i] & (0x3ffffff >> (26 - bitsLeft));\n    }\n\n    // And remove leading zeroes\n    return this.strip();\n  };\n\n  BN.prototype.notn = function notn (width) {\n    return this.clone().inotn(width);\n  };\n\n  // Set `bit` of `this`\n  BN.prototype.setn = function setn (bit, val) {\n    assert(typeof bit === 'number' && bit >= 0);\n\n    var off = (bit / 26) | 0;\n    var wbit = bit % 26;\n\n    this._expand(off + 1);\n\n    if (val) {\n      this.words[off] = this.words[off] | (1 << wbit);\n    } else {\n      this.words[off] = this.words[off] & ~(1 << wbit);\n    }\n\n    return this.strip();\n  };\n\n  // Add `num` to `this` in-place\n  BN.prototype.iadd = function iadd (num) {\n    var r;\n\n    // negative + positive\n    if (this.negative !== 0 && num.negative === 0) {\n      this.negative = 0;\n      r = this.isub(num);\n      this.negative ^= 1;\n      return this._normSign();\n\n    // positive + negative\n    } else if (this.negative === 0 && num.negative !== 0) {\n      num.negative = 0;\n      r = this.isub(num);\n      num.negative = 1;\n      return r._normSign();\n    }\n\n    // a.length > b.length\n    var a, b;\n    if (this.length > num.length) {\n      a = this;\n      b = num;\n    } else {\n      a = num;\n      b = this;\n    }\n\n    var carry = 0;\n    for (var i = 0; i < b.length; i++) {\n      r = (a.words[i] | 0) + (b.words[i] | 0) + carry;\n      this.words[i] = r & 0x3ffffff;\n      carry = r >>> 26;\n    }\n    for (; carry !== 0 && i < a.length; i++) {\n      r = (a.words[i] | 0) + carry;\n      this.words[i] = r & 0x3ffffff;\n      carry = r >>> 26;\n    }\n\n    this.length = a.length;\n    if (carry !== 0) {\n      this.words[this.length] = carry;\n      this.length++;\n    // Copy the rest of the words\n    } else if (a !== this) {\n      for (; i < a.length; i++) {\n        this.words[i] = a.words[i];\n      }\n    }\n\n    return this;\n  };\n\n  // Add `num` to `this`\n  BN.prototype.add = function add (num) {\n    var res;\n    if (num.negative !== 0 && this.negative === 0) {\n      num.negative = 0;\n      res = this.sub(num);\n      num.negative ^= 1;\n      return res;\n    } else if (num.negative === 0 && this.negative !== 0) {\n      this.negative = 0;\n      res = num.sub(this);\n      this.negative = 1;\n      return res;\n    }\n\n    if (this.length > num.length) return this.clone().iadd(num);\n\n    return num.clone().iadd(this);\n  };\n\n  // Subtract `num` from `this` in-place\n  BN.prototype.isub = function isub (num) {\n    // this - (-num) = this + num\n    if (num.negative !== 0) {\n      num.negative = 0;\n      var r = this.iadd(num);\n      num.negative = 1;\n      return r._normSign();\n\n    // -this - num = -(this + num)\n    } else if (this.negative !== 0) {\n      this.negative = 0;\n      this.iadd(num);\n      this.negative = 1;\n      return this._normSign();\n    }\n\n    // At this point both numbers are positive\n    var cmp = this.cmp(num);\n\n    // Optimization - zeroify\n    if (cmp === 0) {\n      this.negative = 0;\n      this.length = 1;\n      this.words[0] = 0;\n      return this;\n    }\n\n    // a > b\n    var a, b;\n    if (cmp > 0) {\n      a = this;\n      b = num;\n    } else {\n      a = num;\n      b = this;\n    }\n\n    var carry = 0;\n    for (var i = 0; i < b.length; i++) {\n      r = (a.words[i] | 0) - (b.words[i] | 0) + carry;\n      carry = r >> 26;\n      this.words[i] = r & 0x3ffffff;\n    }\n    for (; carry !== 0 && i < a.length; i++) {\n      r = (a.words[i] | 0) + carry;\n      carry = r >> 26;\n      this.words[i] = r & 0x3ffffff;\n    }\n\n    // Copy rest of the words\n    if (carry === 0 && i < a.length && a !== this) {\n      for (; i < a.length; i++) {\n        this.words[i] = a.words[i];\n      }\n    }\n\n    this.length = Math.max(this.length, i);\n\n    if (a !== this) {\n      this.negative = 1;\n    }\n\n    return this.strip();\n  };\n\n  // Subtract `num` from `this`\n  BN.prototype.sub = function sub (num) {\n    return this.clone().isub(num);\n  };\n\n  function smallMulTo (self, num, out) {\n    out.negative = num.negative ^ self.negative;\n    var len = (self.length + num.length) | 0;\n    out.length = len;\n    len = (len - 1) | 0;\n\n    // Peel one iteration (compiler can't do it, because of code complexity)\n    var a = self.words[0] | 0;\n    var b = num.words[0] | 0;\n    var r = a * b;\n\n    var lo = r & 0x3ffffff;\n    var carry = (r / 0x4000000) | 0;\n    out.words[0] = lo;\n\n    for (var k = 1; k < len; k++) {\n      // Sum all words with the same `i + j = k` and accumulate `ncarry`,\n      // note that ncarry could be >= 0x3ffffff\n      var ncarry = carry >>> 26;\n      var rword = carry & 0x3ffffff;\n      var maxJ = Math.min(k, num.length - 1);\n      for (var j = Math.max(0, k - self.length + 1); j <= maxJ; j++) {\n        var i = (k - j) | 0;\n        a = self.words[i] | 0;\n        b = num.words[j] | 0;\n        r = a * b + rword;\n        ncarry += (r / 0x4000000) | 0;\n        rword = r & 0x3ffffff;\n      }\n      out.words[k] = rword | 0;\n      carry = ncarry | 0;\n    }\n    if (carry !== 0) {\n      out.words[k] = carry | 0;\n    } else {\n      out.length--;\n    }\n\n    return out.strip();\n  }\n\n  // TODO(indutny): it may be reasonable to omit it for users who don't need\n  // to work with 256-bit numbers, otherwise it gives 20% improvement for 256-bit\n  // multiplication (like elliptic secp256k1).\n  var comb10MulTo = function comb10MulTo (self, num, out) {\n    var a = self.words;\n    var b = num.words;\n    var o = out.words;\n    var c = 0;\n    var lo;\n    var mid;\n    var hi;\n    var a0 = a[0] | 0;\n    var al0 = a0 & 0x1fff;\n    var ah0 = a0 >>> 13;\n    var a1 = a[1] | 0;\n    var al1 = a1 & 0x1fff;\n    var ah1 = a1 >>> 13;\n    var a2 = a[2] | 0;\n    var al2 = a2 & 0x1fff;\n    var ah2 = a2 >>> 13;\n    var a3 = a[3] | 0;\n    var al3 = a3 & 0x1fff;\n    var ah3 = a3 >>> 13;\n    var a4 = a[4] | 0;\n    var al4 = a4 & 0x1fff;\n    var ah4 = a4 >>> 13;\n    var a5 = a[5] | 0;\n    var al5 = a5 & 0x1fff;\n    var ah5 = a5 >>> 13;\n    var a6 = a[6] | 0;\n    var al6 = a6 & 0x1fff;\n    var ah6 = a6 >>> 13;\n    var a7 = a[7] | 0;\n    var al7 = a7 & 0x1fff;\n    var ah7 = a7 >>> 13;\n    var a8 = a[8] | 0;\n    var al8 = a8 & 0x1fff;\n    var ah8 = a8 >>> 13;\n    var a9 = a[9] | 0;\n    var al9 = a9 & 0x1fff;\n    var ah9 = a9 >>> 13;\n    var b0 = b[0] | 0;\n    var bl0 = b0 & 0x1fff;\n    var bh0 = b0 >>> 13;\n    var b1 = b[1] | 0;\n    var bl1 = b1 & 0x1fff;\n    var bh1 = b1 >>> 13;\n    var b2 = b[2] | 0;\n    var bl2 = b2 & 0x1fff;\n    var bh2 = b2 >>> 13;\n    var b3 = b[3] | 0;\n    var bl3 = b3 & 0x1fff;\n    var bh3 = b3 >>> 13;\n    var b4 = b[4] | 0;\n    var bl4 = b4 & 0x1fff;\n    var bh4 = b4 >>> 13;\n    var b5 = b[5] | 0;\n    var bl5 = b5 & 0x1fff;\n    var bh5 = b5 >>> 13;\n    var b6 = b[6] | 0;\n    var bl6 = b6 & 0x1fff;\n    var bh6 = b6 >>> 13;\n    var b7 = b[7] | 0;\n    var bl7 = b7 & 0x1fff;\n    var bh7 = b7 >>> 13;\n    var b8 = b[8] | 0;\n    var bl8 = b8 & 0x1fff;\n    var bh8 = b8 >>> 13;\n    var b9 = b[9] | 0;\n    var bl9 = b9 & 0x1fff;\n    var bh9 = b9 >>> 13;\n\n    out.negative = self.negative ^ num.negative;\n    out.length = 19;\n    /* k = 0 */\n    lo = Math.imul(al0, bl0);\n    mid = Math.imul(al0, bh0);\n    mid = (mid + Math.imul(ah0, bl0)) | 0;\n    hi = Math.imul(ah0, bh0);\n    var w0 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w0 >>> 26)) | 0;\n    w0 &= 0x3ffffff;\n    /* k = 1 */\n    lo = Math.imul(al1, bl0);\n    mid = Math.imul(al1, bh0);\n    mid = (mid + Math.imul(ah1, bl0)) | 0;\n    hi = Math.imul(ah1, bh0);\n    lo = (lo + Math.imul(al0, bl1)) | 0;\n    mid = (mid + Math.imul(al0, bh1)) | 0;\n    mid = (mid + Math.imul(ah0, bl1)) | 0;\n    hi = (hi + Math.imul(ah0, bh1)) | 0;\n    var w1 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w1 >>> 26)) | 0;\n    w1 &= 0x3ffffff;\n    /* k = 2 */\n    lo = Math.imul(al2, bl0);\n    mid = Math.imul(al2, bh0);\n    mid = (mid + Math.imul(ah2, bl0)) | 0;\n    hi = Math.imul(ah2, bh0);\n    lo = (lo + Math.imul(al1, bl1)) | 0;\n    mid = (mid + Math.imul(al1, bh1)) | 0;\n    mid = (mid + Math.imul(ah1, bl1)) | 0;\n    hi = (hi + Math.imul(ah1, bh1)) | 0;\n    lo = (lo + Math.imul(al0, bl2)) | 0;\n    mid = (mid + Math.imul(al0, bh2)) | 0;\n    mid = (mid + Math.imul(ah0, bl2)) | 0;\n    hi = (hi + Math.imul(ah0, bh2)) | 0;\n    var w2 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w2 >>> 26)) | 0;\n    w2 &= 0x3ffffff;\n    /* k = 3 */\n    lo = Math.imul(al3, bl0);\n    mid = Math.imul(al3, bh0);\n    mid = (mid + Math.imul(ah3, bl0)) | 0;\n    hi = Math.imul(ah3, bh0);\n    lo = (lo + Math.imul(al2, bl1)) | 0;\n    mid = (mid + Math.imul(al2, bh1)) | 0;\n    mid = (mid + Math.imul(ah2, bl1)) | 0;\n    hi = (hi + Math.imul(ah2, bh1)) | 0;\n    lo = (lo + Math.imul(al1, bl2)) | 0;\n    mid = (mid + Math.imul(al1, bh2)) | 0;\n    mid = (mid + Math.imul(ah1, bl2)) | 0;\n    hi = (hi + Math.imul(ah1, bh2)) | 0;\n    lo = (lo + Math.imul(al0, bl3)) | 0;\n    mid = (mid + Math.imul(al0, bh3)) | 0;\n    mid = (mid + Math.imul(ah0, bl3)) | 0;\n    hi = (hi + Math.imul(ah0, bh3)) | 0;\n    var w3 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w3 >>> 26)) | 0;\n    w3 &= 0x3ffffff;\n    /* k = 4 */\n    lo = Math.imul(al4, bl0);\n    mid = Math.imul(al4, bh0);\n    mid = (mid + Math.imul(ah4, bl0)) | 0;\n    hi = Math.imul(ah4, bh0);\n    lo = (lo + Math.imul(al3, bl1)) | 0;\n    mid = (mid + Math.imul(al3, bh1)) | 0;\n    mid = (mid + Math.imul(ah3, bl1)) | 0;\n    hi = (hi + Math.imul(ah3, bh1)) | 0;\n    lo = (lo + Math.imul(al2, bl2)) | 0;\n    mid = (mid + Math.imul(al2, bh2)) | 0;\n    mid = (mid + Math.imul(ah2, bl2)) | 0;\n    hi = (hi + Math.imul(ah2, bh2)) | 0;\n    lo = (lo + Math.imul(al1, bl3)) | 0;\n    mid = (mid + Math.imul(al1, bh3)) | 0;\n    mid = (mid + Math.imul(ah1, bl3)) | 0;\n    hi = (hi + Math.imul(ah1, bh3)) | 0;\n    lo = (lo + Math.imul(al0, bl4)) | 0;\n    mid = (mid + Math.imul(al0, bh4)) | 0;\n    mid = (mid + Math.imul(ah0, bl4)) | 0;\n    hi = (hi + Math.imul(ah0, bh4)) | 0;\n    var w4 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w4 >>> 26)) | 0;\n    w4 &= 0x3ffffff;\n    /* k = 5 */\n    lo = Math.imul(al5, bl0);\n    mid = Math.imul(al5, bh0);\n    mid = (mid + Math.imul(ah5, bl0)) | 0;\n    hi = Math.imul(ah5, bh0);\n    lo = (lo + Math.imul(al4, bl1)) | 0;\n    mid = (mid + Math.imul(al4, bh1)) | 0;\n    mid = (mid + Math.imul(ah4, bl1)) | 0;\n    hi = (hi + Math.imul(ah4, bh1)) | 0;\n    lo = (lo + Math.imul(al3, bl2)) | 0;\n    mid = (mid + Math.imul(al3, bh2)) | 0;\n    mid = (mid + Math.imul(ah3, bl2)) | 0;\n    hi = (hi + Math.imul(ah3, bh2)) | 0;\n    lo = (lo + Math.imul(al2, bl3)) | 0;\n    mid = (mid + Math.imul(al2, bh3)) | 0;\n    mid = (mid + Math.imul(ah2, bl3)) | 0;\n    hi = (hi + Math.imul(ah2, bh3)) | 0;\n    lo = (lo + Math.imul(al1, bl4)) | 0;\n    mid = (mid + Math.imul(al1, bh4)) | 0;\n    mid = (mid + Math.imul(ah1, bl4)) | 0;\n    hi = (hi + Math.imul(ah1, bh4)) | 0;\n    lo = (lo + Math.imul(al0, bl5)) | 0;\n    mid = (mid + Math.imul(al0, bh5)) | 0;\n    mid = (mid + Math.imul(ah0, bl5)) | 0;\n    hi = (hi + Math.imul(ah0, bh5)) | 0;\n    var w5 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w5 >>> 26)) | 0;\n    w5 &= 0x3ffffff;\n    /* k = 6 */\n    lo = Math.imul(al6, bl0);\n    mid = Math.imul(al6, bh0);\n    mid = (mid + Math.imul(ah6, bl0)) | 0;\n    hi = Math.imul(ah6, bh0);\n    lo = (lo + Math.imul(al5, bl1)) | 0;\n    mid = (mid + Math.imul(al5, bh1)) | 0;\n    mid = (mid + Math.imul(ah5, bl1)) | 0;\n    hi = (hi + Math.imul(ah5, bh1)) | 0;\n    lo = (lo + Math.imul(al4, bl2)) | 0;\n    mid = (mid + Math.imul(al4, bh2)) | 0;\n    mid = (mid + Math.imul(ah4, bl2)) | 0;\n    hi = (hi + Math.imul(ah4, bh2)) | 0;\n    lo = (lo + Math.imul(al3, bl3)) | 0;\n    mid = (mid + Math.imul(al3, bh3)) | 0;\n    mid = (mid + Math.imul(ah3, bl3)) | 0;\n    hi = (hi + Math.imul(ah3, bh3)) | 0;\n    lo = (lo + Math.imul(al2, bl4)) | 0;\n    mid = (mid + Math.imul(al2, bh4)) | 0;\n    mid = (mid + Math.imul(ah2, bl4)) | 0;\n    hi = (hi + Math.imul(ah2, bh4)) | 0;\n    lo = (lo + Math.imul(al1, bl5)) | 0;\n    mid = (mid + Math.imul(al1, bh5)) | 0;\n    mid = (mid + Math.imul(ah1, bl5)) | 0;\n    hi = (hi + Math.imul(ah1, bh5)) | 0;\n    lo = (lo + Math.imul(al0, bl6)) | 0;\n    mid = (mid + Math.imul(al0, bh6)) | 0;\n    mid = (mid + Math.imul(ah0, bl6)) | 0;\n    hi = (hi + Math.imul(ah0, bh6)) | 0;\n    var w6 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w6 >>> 26)) | 0;\n    w6 &= 0x3ffffff;\n    /* k = 7 */\n    lo = Math.imul(al7, bl0);\n    mid = Math.imul(al7, bh0);\n    mid = (mid + Math.imul(ah7, bl0)) | 0;\n    hi = Math.imul(ah7, bh0);\n    lo = (lo + Math.imul(al6, bl1)) | 0;\n    mid = (mid + Math.imul(al6, bh1)) | 0;\n    mid = (mid + Math.imul(ah6, bl1)) | 0;\n    hi = (hi + Math.imul(ah6, bh1)) | 0;\n    lo = (lo + Math.imul(al5, bl2)) | 0;\n    mid = (mid + Math.imul(al5, bh2)) | 0;\n    mid = (mid + Math.imul(ah5, bl2)) | 0;\n    hi = (hi + Math.imul(ah5, bh2)) | 0;\n    lo = (lo + Math.imul(al4, bl3)) | 0;\n    mid = (mid + Math.imul(al4, bh3)) | 0;\n    mid = (mid + Math.imul(ah4, bl3)) | 0;\n    hi = (hi + Math.imul(ah4, bh3)) | 0;\n    lo = (lo + Math.imul(al3, bl4)) | 0;\n    mid = (mid + Math.imul(al3, bh4)) | 0;\n    mid = (mid + Math.imul(ah3, bl4)) | 0;\n    hi = (hi + Math.imul(ah3, bh4)) | 0;\n    lo = (lo + Math.imul(al2, bl5)) | 0;\n    mid = (mid + Math.imul(al2, bh5)) | 0;\n    mid = (mid + Math.imul(ah2, bl5)) | 0;\n    hi = (hi + Math.imul(ah2, bh5)) | 0;\n    lo = (lo + Math.imul(al1, bl6)) | 0;\n    mid = (mid + Math.imul(al1, bh6)) | 0;\n    mid = (mid + Math.imul(ah1, bl6)) | 0;\n    hi = (hi + Math.imul(ah1, bh6)) | 0;\n    lo = (lo + Math.imul(al0, bl7)) | 0;\n    mid = (mid + Math.imul(al0, bh7)) | 0;\n    mid = (mid + Math.imul(ah0, bl7)) | 0;\n    hi = (hi + Math.imul(ah0, bh7)) | 0;\n    var w7 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w7 >>> 26)) | 0;\n    w7 &= 0x3ffffff;\n    /* k = 8 */\n    lo = Math.imul(al8, bl0);\n    mid = Math.imul(al8, bh0);\n    mid = (mid + Math.imul(ah8, bl0)) | 0;\n    hi = Math.imul(ah8, bh0);\n    lo = (lo + Math.imul(al7, bl1)) | 0;\n    mid = (mid + Math.imul(al7, bh1)) | 0;\n    mid = (mid + Math.imul(ah7, bl1)) | 0;\n    hi = (hi + Math.imul(ah7, bh1)) | 0;\n    lo = (lo + Math.imul(al6, bl2)) | 0;\n    mid = (mid + Math.imul(al6, bh2)) | 0;\n    mid = (mid + Math.imul(ah6, bl2)) | 0;\n    hi = (hi + Math.imul(ah6, bh2)) | 0;\n    lo = (lo + Math.imul(al5, bl3)) | 0;\n    mid = (mid + Math.imul(al5, bh3)) | 0;\n    mid = (mid + Math.imul(ah5, bl3)) | 0;\n    hi = (hi + Math.imul(ah5, bh3)) | 0;\n    lo = (lo + Math.imul(al4, bl4)) | 0;\n    mid = (mid + Math.imul(al4, bh4)) | 0;\n    mid = (mid + Math.imul(ah4, bl4)) | 0;\n    hi = (hi + Math.imul(ah4, bh4)) | 0;\n    lo = (lo + Math.imul(al3, bl5)) | 0;\n    mid = (mid + Math.imul(al3, bh5)) | 0;\n    mid = (mid + Math.imul(ah3, bl5)) | 0;\n    hi = (hi + Math.imul(ah3, bh5)) | 0;\n    lo = (lo + Math.imul(al2, bl6)) | 0;\n    mid = (mid + Math.imul(al2, bh6)) | 0;\n    mid = (mid + Math.imul(ah2, bl6)) | 0;\n    hi = (hi + Math.imul(ah2, bh6)) | 0;\n    lo = (lo + Math.imul(al1, bl7)) | 0;\n    mid = (mid + Math.imul(al1, bh7)) | 0;\n    mid = (mid + Math.imul(ah1, bl7)) | 0;\n    hi = (hi + Math.imul(ah1, bh7)) | 0;\n    lo = (lo + Math.imul(al0, bl8)) | 0;\n    mid = (mid + Math.imul(al0, bh8)) | 0;\n    mid = (mid + Math.imul(ah0, bl8)) | 0;\n    hi = (hi + Math.imul(ah0, bh8)) | 0;\n    var w8 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w8 >>> 26)) | 0;\n    w8 &= 0x3ffffff;\n    /* k = 9 */\n    lo = Math.imul(al9, bl0);\n    mid = Math.imul(al9, bh0);\n    mid = (mid + Math.imul(ah9, bl0)) | 0;\n    hi = Math.imul(ah9, bh0);\n    lo = (lo + Math.imul(al8, bl1)) | 0;\n    mid = (mid + Math.imul(al8, bh1)) | 0;\n    mid = (mid + Math.imul(ah8, bl1)) | 0;\n    hi = (hi + Math.imul(ah8, bh1)) | 0;\n    lo = (lo + Math.imul(al7, bl2)) | 0;\n    mid = (mid + Math.imul(al7, bh2)) | 0;\n    mid = (mid + Math.imul(ah7, bl2)) | 0;\n    hi = (hi + Math.imul(ah7, bh2)) | 0;\n    lo = (lo + Math.imul(al6, bl3)) | 0;\n    mid = (mid + Math.imul(al6, bh3)) | 0;\n    mid = (mid + Math.imul(ah6, bl3)) | 0;\n    hi = (hi + Math.imul(ah6, bh3)) | 0;\n    lo = (lo + Math.imul(al5, bl4)) | 0;\n    mid = (mid + Math.imul(al5, bh4)) | 0;\n    mid = (mid + Math.imul(ah5, bl4)) | 0;\n    hi = (hi + Math.imul(ah5, bh4)) | 0;\n    lo = (lo + Math.imul(al4, bl5)) | 0;\n    mid = (mid + Math.imul(al4, bh5)) | 0;\n    mid = (mid + Math.imul(ah4, bl5)) | 0;\n    hi = (hi + Math.imul(ah4, bh5)) | 0;\n    lo = (lo + Math.imul(al3, bl6)) | 0;\n    mid = (mid + Math.imul(al3, bh6)) | 0;\n    mid = (mid + Math.imul(ah3, bl6)) | 0;\n    hi = (hi + Math.imul(ah3, bh6)) | 0;\n    lo = (lo + Math.imul(al2, bl7)) | 0;\n    mid = (mid + Math.imul(al2, bh7)) | 0;\n    mid = (mid + Math.imul(ah2, bl7)) | 0;\n    hi = (hi + Math.imul(ah2, bh7)) | 0;\n    lo = (lo + Math.imul(al1, bl8)) | 0;\n    mid = (mid + Math.imul(al1, bh8)) | 0;\n    mid = (mid + Math.imul(ah1, bl8)) | 0;\n    hi = (hi + Math.imul(ah1, bh8)) | 0;\n    lo = (lo + Math.imul(al0, bl9)) | 0;\n    mid = (mid + Math.imul(al0, bh9)) | 0;\n    mid = (mid + Math.imul(ah0, bl9)) | 0;\n    hi = (hi + Math.imul(ah0, bh9)) | 0;\n    var w9 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w9 >>> 26)) | 0;\n    w9 &= 0x3ffffff;\n    /* k = 10 */\n    lo = Math.imul(al9, bl1);\n    mid = Math.imul(al9, bh1);\n    mid = (mid + Math.imul(ah9, bl1)) | 0;\n    hi = Math.imul(ah9, bh1);\n    lo = (lo + Math.imul(al8, bl2)) | 0;\n    mid = (mid + Math.imul(al8, bh2)) | 0;\n    mid = (mid + Math.imul(ah8, bl2)) | 0;\n    hi = (hi + Math.imul(ah8, bh2)) | 0;\n    lo = (lo + Math.imul(al7, bl3)) | 0;\n    mid = (mid + Math.imul(al7, bh3)) | 0;\n    mid = (mid + Math.imul(ah7, bl3)) | 0;\n    hi = (hi + Math.imul(ah7, bh3)) | 0;\n    lo = (lo + Math.imul(al6, bl4)) | 0;\n    mid = (mid + Math.imul(al6, bh4)) | 0;\n    mid = (mid + Math.imul(ah6, bl4)) | 0;\n    hi = (hi + Math.imul(ah6, bh4)) | 0;\n    lo = (lo + Math.imul(al5, bl5)) | 0;\n    mid = (mid + Math.imul(al5, bh5)) | 0;\n    mid = (mid + Math.imul(ah5, bl5)) | 0;\n    hi = (hi + Math.imul(ah5, bh5)) | 0;\n    lo = (lo + Math.imul(al4, bl6)) | 0;\n    mid = (mid + Math.imul(al4, bh6)) | 0;\n    mid = (mid + Math.imul(ah4, bl6)) | 0;\n    hi = (hi + Math.imul(ah4, bh6)) | 0;\n    lo = (lo + Math.imul(al3, bl7)) | 0;\n    mid = (mid + Math.imul(al3, bh7)) | 0;\n    mid = (mid + Math.imul(ah3, bl7)) | 0;\n    hi = (hi + Math.imul(ah3, bh7)) | 0;\n    lo = (lo + Math.imul(al2, bl8)) | 0;\n    mid = (mid + Math.imul(al2, bh8)) | 0;\n    mid = (mid + Math.imul(ah2, bl8)) | 0;\n    hi = (hi + Math.imul(ah2, bh8)) | 0;\n    lo = (lo + Math.imul(al1, bl9)) | 0;\n    mid = (mid + Math.imul(al1, bh9)) | 0;\n    mid = (mid + Math.imul(ah1, bl9)) | 0;\n    hi = (hi + Math.imul(ah1, bh9)) | 0;\n    var w10 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w10 >>> 26)) | 0;\n    w10 &= 0x3ffffff;\n    /* k = 11 */\n    lo = Math.imul(al9, bl2);\n    mid = Math.imul(al9, bh2);\n    mid = (mid + Math.imul(ah9, bl2)) | 0;\n    hi = Math.imul(ah9, bh2);\n    lo = (lo + Math.imul(al8, bl3)) | 0;\n    mid = (mid + Math.imul(al8, bh3)) | 0;\n    mid = (mid + Math.imul(ah8, bl3)) | 0;\n    hi = (hi + Math.imul(ah8, bh3)) | 0;\n    lo = (lo + Math.imul(al7, bl4)) | 0;\n    mid = (mid + Math.imul(al7, bh4)) | 0;\n    mid = (mid + Math.imul(ah7, bl4)) | 0;\n    hi = (hi + Math.imul(ah7, bh4)) | 0;\n    lo = (lo + Math.imul(al6, bl5)) | 0;\n    mid = (mid + Math.imul(al6, bh5)) | 0;\n    mid = (mid + Math.imul(ah6, bl5)) | 0;\n    hi = (hi + Math.imul(ah6, bh5)) | 0;\n    lo = (lo + Math.imul(al5, bl6)) | 0;\n    mid = (mid + Math.imul(al5, bh6)) | 0;\n    mid = (mid + Math.imul(ah5, bl6)) | 0;\n    hi = (hi + Math.imul(ah5, bh6)) | 0;\n    lo = (lo + Math.imul(al4, bl7)) | 0;\n    mid = (mid + Math.imul(al4, bh7)) | 0;\n    mid = (mid + Math.imul(ah4, bl7)) | 0;\n    hi = (hi + Math.imul(ah4, bh7)) | 0;\n    lo = (lo + Math.imul(al3, bl8)) | 0;\n    mid = (mid + Math.imul(al3, bh8)) | 0;\n    mid = (mid + Math.imul(ah3, bl8)) | 0;\n    hi = (hi + Math.imul(ah3, bh8)) | 0;\n    lo = (lo + Math.imul(al2, bl9)) | 0;\n    mid = (mid + Math.imul(al2, bh9)) | 0;\n    mid = (mid + Math.imul(ah2, bl9)) | 0;\n    hi = (hi + Math.imul(ah2, bh9)) | 0;\n    var w11 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w11 >>> 26)) | 0;\n    w11 &= 0x3ffffff;\n    /* k = 12 */\n    lo = Math.imul(al9, bl3);\n    mid = Math.imul(al9, bh3);\n    mid = (mid + Math.imul(ah9, bl3)) | 0;\n    hi = Math.imul(ah9, bh3);\n    lo = (lo + Math.imul(al8, bl4)) | 0;\n    mid = (mid + Math.imul(al8, bh4)) | 0;\n    mid = (mid + Math.imul(ah8, bl4)) | 0;\n    hi = (hi + Math.imul(ah8, bh4)) | 0;\n    lo = (lo + Math.imul(al7, bl5)) | 0;\n    mid = (mid + Math.imul(al7, bh5)) | 0;\n    mid = (mid + Math.imul(ah7, bl5)) | 0;\n    hi = (hi + Math.imul(ah7, bh5)) | 0;\n    lo = (lo + Math.imul(al6, bl6)) | 0;\n    mid = (mid + Math.imul(al6, bh6)) | 0;\n    mid = (mid + Math.imul(ah6, bl6)) | 0;\n    hi = (hi + Math.imul(ah6, bh6)) | 0;\n    lo = (lo + Math.imul(al5, bl7)) | 0;\n    mid = (mid + Math.imul(al5, bh7)) | 0;\n    mid = (mid + Math.imul(ah5, bl7)) | 0;\n    hi = (hi + Math.imul(ah5, bh7)) | 0;\n    lo = (lo + Math.imul(al4, bl8)) | 0;\n    mid = (mid + Math.imul(al4, bh8)) | 0;\n    mid = (mid + Math.imul(ah4, bl8)) | 0;\n    hi = (hi + Math.imul(ah4, bh8)) | 0;\n    lo = (lo + Math.imul(al3, bl9)) | 0;\n    mid = (mid + Math.imul(al3, bh9)) | 0;\n    mid = (mid + Math.imul(ah3, bl9)) | 0;\n    hi = (hi + Math.imul(ah3, bh9)) | 0;\n    var w12 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w12 >>> 26)) | 0;\n    w12 &= 0x3ffffff;\n    /* k = 13 */\n    lo = Math.imul(al9, bl4);\n    mid = Math.imul(al9, bh4);\n    mid = (mid + Math.imul(ah9, bl4)) | 0;\n    hi = Math.imul(ah9, bh4);\n    lo = (lo + Math.imul(al8, bl5)) | 0;\n    mid = (mid + Math.imul(al8, bh5)) | 0;\n    mid = (mid + Math.imul(ah8, bl5)) | 0;\n    hi = (hi + Math.imul(ah8, bh5)) | 0;\n    lo = (lo + Math.imul(al7, bl6)) | 0;\n    mid = (mid + Math.imul(al7, bh6)) | 0;\n    mid = (mid + Math.imul(ah7, bl6)) | 0;\n    hi = (hi + Math.imul(ah7, bh6)) | 0;\n    lo = (lo + Math.imul(al6, bl7)) | 0;\n    mid = (mid + Math.imul(al6, bh7)) | 0;\n    mid = (mid + Math.imul(ah6, bl7)) | 0;\n    hi = (hi + Math.imul(ah6, bh7)) | 0;\n    lo = (lo + Math.imul(al5, bl8)) | 0;\n    mid = (mid + Math.imul(al5, bh8)) | 0;\n    mid = (mid + Math.imul(ah5, bl8)) | 0;\n    hi = (hi + Math.imul(ah5, bh8)) | 0;\n    lo = (lo + Math.imul(al4, bl9)) | 0;\n    mid = (mid + Math.imul(al4, bh9)) | 0;\n    mid = (mid + Math.imul(ah4, bl9)) | 0;\n    hi = (hi + Math.imul(ah4, bh9)) | 0;\n    var w13 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w13 >>> 26)) | 0;\n    w13 &= 0x3ffffff;\n    /* k = 14 */\n    lo = Math.imul(al9, bl5);\n    mid = Math.imul(al9, bh5);\n    mid = (mid + Math.imul(ah9, bl5)) | 0;\n    hi = Math.imul(ah9, bh5);\n    lo = (lo + Math.imul(al8, bl6)) | 0;\n    mid = (mid + Math.imul(al8, bh6)) | 0;\n    mid = (mid + Math.imul(ah8, bl6)) | 0;\n    hi = (hi + Math.imul(ah8, bh6)) | 0;\n    lo = (lo + Math.imul(al7, bl7)) | 0;\n    mid = (mid + Math.imul(al7, bh7)) | 0;\n    mid = (mid + Math.imul(ah7, bl7)) | 0;\n    hi = (hi + Math.imul(ah7, bh7)) | 0;\n    lo = (lo + Math.imul(al6, bl8)) | 0;\n    mid = (mid + Math.imul(al6, bh8)) | 0;\n    mid = (mid + Math.imul(ah6, bl8)) | 0;\n    hi = (hi + Math.imul(ah6, bh8)) | 0;\n    lo = (lo + Math.imul(al5, bl9)) | 0;\n    mid = (mid + Math.imul(al5, bh9)) | 0;\n    mid = (mid + Math.imul(ah5, bl9)) | 0;\n    hi = (hi + Math.imul(ah5, bh9)) | 0;\n    var w14 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w14 >>> 26)) | 0;\n    w14 &= 0x3ffffff;\n    /* k = 15 */\n    lo = Math.imul(al9, bl6);\n    mid = Math.imul(al9, bh6);\n    mid = (mid + Math.imul(ah9, bl6)) | 0;\n    hi = Math.imul(ah9, bh6);\n    lo = (lo + Math.imul(al8, bl7)) | 0;\n    mid = (mid + Math.imul(al8, bh7)) | 0;\n    mid = (mid + Math.imul(ah8, bl7)) | 0;\n    hi = (hi + Math.imul(ah8, bh7)) | 0;\n    lo = (lo + Math.imul(al7, bl8)) | 0;\n    mid = (mid + Math.imul(al7, bh8)) | 0;\n    mid = (mid + Math.imul(ah7, bl8)) | 0;\n    hi = (hi + Math.imul(ah7, bh8)) | 0;\n    lo = (lo + Math.imul(al6, bl9)) | 0;\n    mid = (mid + Math.imul(al6, bh9)) | 0;\n    mid = (mid + Math.imul(ah6, bl9)) | 0;\n    hi = (hi + Math.imul(ah6, bh9)) | 0;\n    var w15 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w15 >>> 26)) | 0;\n    w15 &= 0x3ffffff;\n    /* k = 16 */\n    lo = Math.imul(al9, bl7);\n    mid = Math.imul(al9, bh7);\n    mid = (mid + Math.imul(ah9, bl7)) | 0;\n    hi = Math.imul(ah9, bh7);\n    lo = (lo + Math.imul(al8, bl8)) | 0;\n    mid = (mid + Math.imul(al8, bh8)) | 0;\n    mid = (mid + Math.imul(ah8, bl8)) | 0;\n    hi = (hi + Math.imul(ah8, bh8)) | 0;\n    lo = (lo + Math.imul(al7, bl9)) | 0;\n    mid = (mid + Math.imul(al7, bh9)) | 0;\n    mid = (mid + Math.imul(ah7, bl9)) | 0;\n    hi = (hi + Math.imul(ah7, bh9)) | 0;\n    var w16 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w16 >>> 26)) | 0;\n    w16 &= 0x3ffffff;\n    /* k = 17 */\n    lo = Math.imul(al9, bl8);\n    mid = Math.imul(al9, bh8);\n    mid = (mid + Math.imul(ah9, bl8)) | 0;\n    hi = Math.imul(ah9, bh8);\n    lo = (lo + Math.imul(al8, bl9)) | 0;\n    mid = (mid + Math.imul(al8, bh9)) | 0;\n    mid = (mid + Math.imul(ah8, bl9)) | 0;\n    hi = (hi + Math.imul(ah8, bh9)) | 0;\n    var w17 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w17 >>> 26)) | 0;\n    w17 &= 0x3ffffff;\n    /* k = 18 */\n    lo = Math.imul(al9, bl9);\n    mid = Math.imul(al9, bh9);\n    mid = (mid + Math.imul(ah9, bl9)) | 0;\n    hi = Math.imul(ah9, bh9);\n    var w18 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w18 >>> 26)) | 0;\n    w18 &= 0x3ffffff;\n    o[0] = w0;\n    o[1] = w1;\n    o[2] = w2;\n    o[3] = w3;\n    o[4] = w4;\n    o[5] = w5;\n    o[6] = w6;\n    o[7] = w7;\n    o[8] = w8;\n    o[9] = w9;\n    o[10] = w10;\n    o[11] = w11;\n    o[12] = w12;\n    o[13] = w13;\n    o[14] = w14;\n    o[15] = w15;\n    o[16] = w16;\n    o[17] = w17;\n    o[18] = w18;\n    if (c !== 0) {\n      o[19] = c;\n      out.length++;\n    }\n    return out;\n  };\n\n  // Polyfill comb\n  if (!Math.imul) {\n    comb10MulTo = smallMulTo;\n  }\n\n  function bigMulTo (self, num, out) {\n    out.negative = num.negative ^ self.negative;\n    out.length = self.length + num.length;\n\n    var carry = 0;\n    var hncarry = 0;\n    for (var k = 0; k < out.length - 1; k++) {\n      // Sum all words with the same `i + j = k` and accumulate `ncarry`,\n      // note that ncarry could be >= 0x3ffffff\n      var ncarry = hncarry;\n      hncarry = 0;\n      var rword = carry & 0x3ffffff;\n      var maxJ = Math.min(k, num.length - 1);\n      for (var j = Math.max(0, k - self.length + 1); j <= maxJ; j++) {\n        var i = k - j;\n        var a = self.words[i] | 0;\n        var b = num.words[j] | 0;\n        var r = a * b;\n\n        var lo = r & 0x3ffffff;\n        ncarry = (ncarry + ((r / 0x4000000) | 0)) | 0;\n        lo = (lo + rword) | 0;\n        rword = lo & 0x3ffffff;\n        ncarry = (ncarry + (lo >>> 26)) | 0;\n\n        hncarry += ncarry >>> 26;\n        ncarry &= 0x3ffffff;\n      }\n      out.words[k] = rword;\n      carry = ncarry;\n      ncarry = hncarry;\n    }\n    if (carry !== 0) {\n      out.words[k] = carry;\n    } else {\n      out.length--;\n    }\n\n    return out.strip();\n  }\n\n  function jumboMulTo (self, num, out) {\n    var fftm = new FFTM();\n    return fftm.mulp(self, num, out);\n  }\n\n  BN.prototype.mulTo = function mulTo (num, out) {\n    var res;\n    var len = this.length + num.length;\n    if (this.length === 10 && num.length === 10) {\n      res = comb10MulTo(this, num, out);\n    } else if (len < 63) {\n      res = smallMulTo(this, num, out);\n    } else if (len < 1024) {\n      res = bigMulTo(this, num, out);\n    } else {\n      res = jumboMulTo(this, num, out);\n    }\n\n    return res;\n  };\n\n  // Cooley-Tukey algorithm for FFT\n  // slightly revisited to rely on looping instead of recursion\n\n  function FFTM (x, y) {\n    this.x = x;\n    this.y = y;\n  }\n\n  FFTM.prototype.makeRBT = function makeRBT (N) {\n    var t = new Array(N);\n    var l = BN.prototype._countBits(N) - 1;\n    for (var i = 0; i < N; i++) {\n      t[i] = this.revBin(i, l, N);\n    }\n\n    return t;\n  };\n\n  // Returns binary-reversed representation of `x`\n  FFTM.prototype.revBin = function revBin (x, l, N) {\n    if (x === 0 || x === N - 1) return x;\n\n    var rb = 0;\n    for (var i = 0; i < l; i++) {\n      rb |= (x & 1) << (l - i - 1);\n      x >>= 1;\n    }\n\n    return rb;\n  };\n\n  // Performs \"tweedling\" phase, therefore 'emulating'\n  // behaviour of the recursive algorithm\n  FFTM.prototype.permute = function permute (rbt, rws, iws, rtws, itws, N) {\n    for (var i = 0; i < N; i++) {\n      rtws[i] = rws[rbt[i]];\n      itws[i] = iws[rbt[i]];\n    }\n  };\n\n  FFTM.prototype.transform = function transform (rws, iws, rtws, itws, N, rbt) {\n    this.permute(rbt, rws, iws, rtws, itws, N);\n\n    for (var s = 1; s < N; s <<= 1) {\n      var l = s << 1;\n\n      var rtwdf = Math.cos(2 * Math.PI / l);\n      var itwdf = Math.sin(2 * Math.PI / l);\n\n      for (var p = 0; p < N; p += l) {\n        var rtwdf_ = rtwdf;\n        var itwdf_ = itwdf;\n\n        for (var j = 0; j < s; j++) {\n          var re = rtws[p + j];\n          var ie = itws[p + j];\n\n          var ro = rtws[p + j + s];\n          var io = itws[p + j + s];\n\n          var rx = rtwdf_ * ro - itwdf_ * io;\n\n          io = rtwdf_ * io + itwdf_ * ro;\n          ro = rx;\n\n          rtws[p + j] = re + ro;\n          itws[p + j] = ie + io;\n\n          rtws[p + j + s] = re - ro;\n          itws[p + j + s] = ie - io;\n\n          /* jshint maxdepth : false */\n          if (j !== l) {\n            rx = rtwdf * rtwdf_ - itwdf * itwdf_;\n\n            itwdf_ = rtwdf * itwdf_ + itwdf * rtwdf_;\n            rtwdf_ = rx;\n          }\n        }\n      }\n    }\n  };\n\n  FFTM.prototype.guessLen13b = function guessLen13b (n, m) {\n    var N = Math.max(m, n) | 1;\n    var odd = N & 1;\n    var i = 0;\n    for (N = N / 2 | 0; N; N = N >>> 1) {\n      i++;\n    }\n\n    return 1 << i + 1 + odd;\n  };\n\n  FFTM.prototype.conjugate = function conjugate (rws, iws, N) {\n    if (N <= 1) return;\n\n    for (var i = 0; i < N / 2; i++) {\n      var t = rws[i];\n\n      rws[i] = rws[N - i - 1];\n      rws[N - i - 1] = t;\n\n      t = iws[i];\n\n      iws[i] = -iws[N - i - 1];\n      iws[N - i - 1] = -t;\n    }\n  };\n\n  FFTM.prototype.normalize13b = function normalize13b (ws, N) {\n    var carry = 0;\n    for (var i = 0; i < N / 2; i++) {\n      var w = Math.round(ws[2 * i + 1] / N) * 0x2000 +\n        Math.round(ws[2 * i] / N) +\n        carry;\n\n      ws[i] = w & 0x3ffffff;\n\n      if (w < 0x4000000) {\n        carry = 0;\n      } else {\n        carry = w / 0x4000000 | 0;\n      }\n    }\n\n    return ws;\n  };\n\n  FFTM.prototype.convert13b = function convert13b (ws, len, rws, N) {\n    var carry = 0;\n    for (var i = 0; i < len; i++) {\n      carry = carry + (ws[i] | 0);\n\n      rws[2 * i] = carry & 0x1fff; carry = carry >>> 13;\n      rws[2 * i + 1] = carry & 0x1fff; carry = carry >>> 13;\n    }\n\n    // Pad with zeroes\n    for (i = 2 * len; i < N; ++i) {\n      rws[i] = 0;\n    }\n\n    assert(carry === 0);\n    assert((carry & ~0x1fff) === 0);\n  };\n\n  FFTM.prototype.stub = function stub (N) {\n    var ph = new Array(N);\n    for (var i = 0; i < N; i++) {\n      ph[i] = 0;\n    }\n\n    return ph;\n  };\n\n  FFTM.prototype.mulp = function mulp (x, y, out) {\n    var N = 2 * this.guessLen13b(x.length, y.length);\n\n    var rbt = this.makeRBT(N);\n\n    var _ = this.stub(N);\n\n    var rws = new Array(N);\n    var rwst = new Array(N);\n    var iwst = new Array(N);\n\n    var nrws = new Array(N);\n    var nrwst = new Array(N);\n    var niwst = new Array(N);\n\n    var rmws = out.words;\n    rmws.length = N;\n\n    this.convert13b(x.words, x.length, rws, N);\n    this.convert13b(y.words, y.length, nrws, N);\n\n    this.transform(rws, _, rwst, iwst, N, rbt);\n    this.transform(nrws, _, nrwst, niwst, N, rbt);\n\n    for (var i = 0; i < N; i++) {\n      var rx = rwst[i] * nrwst[i] - iwst[i] * niwst[i];\n      iwst[i] = rwst[i] * niwst[i] + iwst[i] * nrwst[i];\n      rwst[i] = rx;\n    }\n\n    this.conjugate(rwst, iwst, N);\n    this.transform(rwst, iwst, rmws, _, N, rbt);\n    this.conjugate(rmws, _, N);\n    this.normalize13b(rmws, N);\n\n    out.negative = x.negative ^ y.negative;\n    out.length = x.length + y.length;\n    return out.strip();\n  };\n\n  // Multiply `this` by `num`\n  BN.prototype.mul = function mul (num) {\n    var out = new BN(null);\n    out.words = new Array(this.length + num.length);\n    return this.mulTo(num, out);\n  };\n\n  // Multiply employing FFT\n  BN.prototype.mulf = function mulf (num) {\n    var out = new BN(null);\n    out.words = new Array(this.length + num.length);\n    return jumboMulTo(this, num, out);\n  };\n\n  // In-place Multiplication\n  BN.prototype.imul = function imul (num) {\n    return this.clone().mulTo(num, this);\n  };\n\n  BN.prototype.imuln = function imuln (num) {\n    assert(typeof num === 'number');\n    assert(num < 0x4000000);\n\n    // Carry\n    var carry = 0;\n    for (var i = 0; i < this.length; i++) {\n      var w = (this.words[i] | 0) * num;\n      var lo = (w & 0x3ffffff) + (carry & 0x3ffffff);\n      carry >>= 26;\n      carry += (w / 0x4000000) | 0;\n      // NOTE: lo is 27bit maximum\n      carry += lo >>> 26;\n      this.words[i] = lo & 0x3ffffff;\n    }\n\n    if (carry !== 0) {\n      this.words[i] = carry;\n      this.length++;\n    }\n\n    return this;\n  };\n\n  BN.prototype.muln = function muln (num) {\n    return this.clone().imuln(num);\n  };\n\n  // `this` * `this`\n  BN.prototype.sqr = function sqr () {\n    return this.mul(this);\n  };\n\n  // `this` * `this` in-place\n  BN.prototype.isqr = function isqr () {\n    return this.imul(this.clone());\n  };\n\n  // Math.pow(`this`, `num`)\n  BN.prototype.pow = function pow (num) {\n    var w = toBitArray(num);\n    if (w.length === 0) return new BN(1);\n\n    // Skip leading zeroes\n    var res = this;\n    for (var i = 0; i < w.length; i++, res = res.sqr()) {\n      if (w[i] !== 0) break;\n    }\n\n    if (++i < w.length) {\n      for (var q = res.sqr(); i < w.length; i++, q = q.sqr()) {\n        if (w[i] === 0) continue;\n\n        res = res.mul(q);\n      }\n    }\n\n    return res;\n  };\n\n  // Shift-left in-place\n  BN.prototype.iushln = function iushln (bits) {\n    assert(typeof bits === 'number' && bits >= 0);\n    var r = bits % 26;\n    var s = (bits - r) / 26;\n    var carryMask = (0x3ffffff >>> (26 - r)) << (26 - r);\n    var i;\n\n    if (r !== 0) {\n      var carry = 0;\n\n      for (i = 0; i < this.length; i++) {\n        var newCarry = this.words[i] & carryMask;\n        var c = ((this.words[i] | 0) - newCarry) << r;\n        this.words[i] = c | carry;\n        carry = newCarry >>> (26 - r);\n      }\n\n      if (carry) {\n        this.words[i] = carry;\n        this.length++;\n      }\n    }\n\n    if (s !== 0) {\n      for (i = this.length - 1; i >= 0; i--) {\n        this.words[i + s] = this.words[i];\n      }\n\n      for (i = 0; i < s; i++) {\n        this.words[i] = 0;\n      }\n\n      this.length += s;\n    }\n\n    return this.strip();\n  };\n\n  BN.prototype.ishln = function ishln (bits) {\n    // TODO(indutny): implement me\n    assert(this.negative === 0);\n    return this.iushln(bits);\n  };\n\n  // Shift-right in-place\n  // NOTE: `hint` is a lowest bit before trailing zeroes\n  // NOTE: if `extended` is present - it will be filled with destroyed bits\n  BN.prototype.iushrn = function iushrn (bits, hint, extended) {\n    assert(typeof bits === 'number' && bits >= 0);\n    var h;\n    if (hint) {\n      h = (hint - (hint % 26)) / 26;\n    } else {\n      h = 0;\n    }\n\n    var r = bits % 26;\n    var s = Math.min((bits - r) / 26, this.length);\n    var mask = 0x3ffffff ^ ((0x3ffffff >>> r) << r);\n    var maskedWords = extended;\n\n    h -= s;\n    h = Math.max(0, h);\n\n    // Extended mode, copy masked part\n    if (maskedWords) {\n      for (var i = 0; i < s; i++) {\n        maskedWords.words[i] = this.words[i];\n      }\n      maskedWords.length = s;\n    }\n\n    if (s === 0) {\n      // No-op, we should not move anything at all\n    } else if (this.length > s) {\n      this.length -= s;\n      for (i = 0; i < this.length; i++) {\n        this.words[i] = this.words[i + s];\n      }\n    } else {\n      this.words[0] = 0;\n      this.length = 1;\n    }\n\n    var carry = 0;\n    for (i = this.length - 1; i >= 0 && (carry !== 0 || i >= h); i--) {\n      var word = this.words[i] | 0;\n      this.words[i] = (carry << (26 - r)) | (word >>> r);\n      carry = word & mask;\n    }\n\n    // Push carried bits as a mask\n    if (maskedWords && carry !== 0) {\n      maskedWords.words[maskedWords.length++] = carry;\n    }\n\n    if (this.length === 0) {\n      this.words[0] = 0;\n      this.length = 1;\n    }\n\n    return this.strip();\n  };\n\n  BN.prototype.ishrn = function ishrn (bits, hint, extended) {\n    // TODO(indutny): implement me\n    assert(this.negative === 0);\n    return this.iushrn(bits, hint, extended);\n  };\n\n  // Shift-left\n  BN.prototype.shln = function shln (bits) {\n    return this.clone().ishln(bits);\n  };\n\n  BN.prototype.ushln = function ushln (bits) {\n    return this.clone().iushln(bits);\n  };\n\n  // Shift-right\n  BN.prototype.shrn = function shrn (bits) {\n    return this.clone().ishrn(bits);\n  };\n\n  BN.prototype.ushrn = function ushrn (bits) {\n    return this.clone().iushrn(bits);\n  };\n\n  // Test if n bit is set\n  BN.prototype.testn = function testn (bit) {\n    assert(typeof bit === 'number' && bit >= 0);\n    var r = bit % 26;\n    var s = (bit - r) / 26;\n    var q = 1 << r;\n\n    // Fast case: bit is much higher than all existing words\n    if (this.length <= s) return false;\n\n    // Check bit and return\n    var w = this.words[s];\n\n    return !!(w & q);\n  };\n\n  // Return only lowers bits of number (in-place)\n  BN.prototype.imaskn = function imaskn (bits) {\n    assert(typeof bits === 'number' && bits >= 0);\n    var r = bits % 26;\n    var s = (bits - r) / 26;\n\n    assert(this.negative === 0, 'imaskn works only with positive numbers');\n\n    if (this.length <= s) {\n      return this;\n    }\n\n    if (r !== 0) {\n      s++;\n    }\n    this.length = Math.min(s, this.length);\n\n    if (r !== 0) {\n      var mask = 0x3ffffff ^ ((0x3ffffff >>> r) << r);\n      this.words[this.length - 1] &= mask;\n    }\n\n    return this.strip();\n  };\n\n  // Return only lowers bits of number\n  BN.prototype.maskn = function maskn (bits) {\n    return this.clone().imaskn(bits);\n  };\n\n  // Add plain number `num` to `this`\n  BN.prototype.iaddn = function iaddn (num) {\n    assert(typeof num === 'number');\n    assert(num < 0x4000000);\n    if (num < 0) return this.isubn(-num);\n\n    // Possible sign change\n    if (this.negative !== 0) {\n      if (this.length === 1 && (this.words[0] | 0) < num) {\n        this.words[0] = num - (this.words[0] | 0);\n        this.negative = 0;\n        return this;\n      }\n\n      this.negative = 0;\n      this.isubn(num);\n      this.negative = 1;\n      return this;\n    }\n\n    // Add without checks\n    return this._iaddn(num);\n  };\n\n  BN.prototype._iaddn = function _iaddn (num) {\n    this.words[0] += num;\n\n    // Carry\n    for (var i = 0; i < this.length && this.words[i] >= 0x4000000; i++) {\n      this.words[i] -= 0x4000000;\n      if (i === this.length - 1) {\n        this.words[i + 1] = 1;\n      } else {\n        this.words[i + 1]++;\n      }\n    }\n    this.length = Math.max(this.length, i + 1);\n\n    return this;\n  };\n\n  // Subtract plain number `num` from `this`\n  BN.prototype.isubn = function isubn (num) {\n    assert(typeof num === 'number');\n    assert(num < 0x4000000);\n    if (num < 0) return this.iaddn(-num);\n\n    if (this.negative !== 0) {\n      this.negative = 0;\n      this.iaddn(num);\n      this.negative = 1;\n      return this;\n    }\n\n    this.words[0] -= num;\n\n    if (this.length === 1 && this.words[0] < 0) {\n      this.words[0] = -this.words[0];\n      this.negative = 1;\n    } else {\n      // Carry\n      for (var i = 0; i < this.length && this.words[i] < 0; i++) {\n        this.words[i] += 0x4000000;\n        this.words[i + 1] -= 1;\n      }\n    }\n\n    return this.strip();\n  };\n\n  BN.prototype.addn = function addn (num) {\n    return this.clone().iaddn(num);\n  };\n\n  BN.prototype.subn = function subn (num) {\n    return this.clone().isubn(num);\n  };\n\n  BN.prototype.iabs = function iabs () {\n    this.negative = 0;\n\n    return this;\n  };\n\n  BN.prototype.abs = function abs () {\n    return this.clone().iabs();\n  };\n\n  BN.prototype._ishlnsubmul = function _ishlnsubmul (num, mul, shift) {\n    var len = num.length + shift;\n    var i;\n\n    this._expand(len);\n\n    var w;\n    var carry = 0;\n    for (i = 0; i < num.length; i++) {\n      w = (this.words[i + shift] | 0) + carry;\n      var right = (num.words[i] | 0) * mul;\n      w -= right & 0x3ffffff;\n      carry = (w >> 26) - ((right / 0x4000000) | 0);\n      this.words[i + shift] = w & 0x3ffffff;\n    }\n    for (; i < this.length - shift; i++) {\n      w = (this.words[i + shift] | 0) + carry;\n      carry = w >> 26;\n      this.words[i + shift] = w & 0x3ffffff;\n    }\n\n    if (carry === 0) return this.strip();\n\n    // Subtraction overflow\n    assert(carry === -1);\n    carry = 0;\n    for (i = 0; i < this.length; i++) {\n      w = -(this.words[i] | 0) + carry;\n      carry = w >> 26;\n      this.words[i] = w & 0x3ffffff;\n    }\n    this.negative = 1;\n\n    return this.strip();\n  };\n\n  BN.prototype._wordDiv = function _wordDiv (num, mode) {\n    var shift = this.length - num.length;\n\n    var a = this.clone();\n    var b = num;\n\n    // Normalize\n    var bhi = b.words[b.length - 1] | 0;\n    var bhiBits = this._countBits(bhi);\n    shift = 26 - bhiBits;\n    if (shift !== 0) {\n      b = b.ushln(shift);\n      a.iushln(shift);\n      bhi = b.words[b.length - 1] | 0;\n    }\n\n    // Initialize quotient\n    var m = a.length - b.length;\n    var q;\n\n    if (mode !== 'mod') {\n      q = new BN(null);\n      q.length = m + 1;\n      q.words = new Array(q.length);\n      for (var i = 0; i < q.length; i++) {\n        q.words[i] = 0;\n      }\n    }\n\n    var diff = a.clone()._ishlnsubmul(b, 1, m);\n    if (diff.negative === 0) {\n      a = diff;\n      if (q) {\n        q.words[m] = 1;\n      }\n    }\n\n    for (var j = m - 1; j >= 0; j--) {\n      var qj = (a.words[b.length + j] | 0) * 0x4000000 +\n        (a.words[b.length + j - 1] | 0);\n\n      // NOTE: (qj / bhi) is (0x3ffffff * 0x4000000 + 0x3ffffff) / 0x2000000 max\n      // (0x7ffffff)\n      qj = Math.min((qj / bhi) | 0, 0x3ffffff);\n\n      a._ishlnsubmul(b, qj, j);\n      while (a.negative !== 0) {\n        qj--;\n        a.negative = 0;\n        a._ishlnsubmul(b, 1, j);\n        if (!a.isZero()) {\n          a.negative ^= 1;\n        }\n      }\n      if (q) {\n        q.words[j] = qj;\n      }\n    }\n    if (q) {\n      q.strip();\n    }\n    a.strip();\n\n    // Denormalize\n    if (mode !== 'div' && shift !== 0) {\n      a.iushrn(shift);\n    }\n\n    return {\n      div: q || null,\n      mod: a\n    };\n  };\n\n  // NOTE: 1) `mode` can be set to `mod` to request mod only,\n  //       to `div` to request div only, or be absent to\n  //       request both div & mod\n  //       2) `positive` is true if unsigned mod is requested\n  BN.prototype.divmod = function divmod (num, mode, positive) {\n    assert(!num.isZero());\n\n    if (this.isZero()) {\n      return {\n        div: new BN(0),\n        mod: new BN(0)\n      };\n    }\n\n    var div, mod, res;\n    if (this.negative !== 0 && num.negative === 0) {\n      res = this.neg().divmod(num, mode);\n\n      if (mode !== 'mod') {\n        div = res.div.neg();\n      }\n\n      if (mode !== 'div') {\n        mod = res.mod.neg();\n        if (positive && mod.negative !== 0) {\n          mod.iadd(num);\n        }\n      }\n\n      return {\n        div: div,\n        mod: mod\n      };\n    }\n\n    if (this.negative === 0 && num.negative !== 0) {\n      res = this.divmod(num.neg(), mode);\n\n      if (mode !== 'mod') {\n        div = res.div.neg();\n      }\n\n      return {\n        div: div,\n        mod: res.mod\n      };\n    }\n\n    if ((this.negative & num.negative) !== 0) {\n      res = this.neg().divmod(num.neg(), mode);\n\n      if (mode !== 'div') {\n        mod = res.mod.neg();\n        if (positive && mod.negative !== 0) {\n          mod.isub(num);\n        }\n      }\n\n      return {\n        div: res.div,\n        mod: mod\n      };\n    }\n\n    // Both numbers are positive at this point\n\n    // Strip both numbers to approximate shift value\n    if (num.length > this.length || this.cmp(num) < 0) {\n      return {\n        div: new BN(0),\n        mod: this\n      };\n    }\n\n    // Very short reduction\n    if (num.length === 1) {\n      if (mode === 'div') {\n        return {\n          div: this.divn(num.words[0]),\n          mod: null\n        };\n      }\n\n      if (mode === 'mod') {\n        return {\n          div: null,\n          mod: new BN(this.modn(num.words[0]))\n        };\n      }\n\n      return {\n        div: this.divn(num.words[0]),\n        mod: new BN(this.modn(num.words[0]))\n      };\n    }\n\n    return this._wordDiv(num, mode);\n  };\n\n  // Find `this` / `num`\n  BN.prototype.div = function div (num) {\n    return this.divmod(num, 'div', false).div;\n  };\n\n  // Find `this` % `num`\n  BN.prototype.mod = function mod (num) {\n    return this.divmod(num, 'mod', false).mod;\n  };\n\n  BN.prototype.umod = function umod (num) {\n    return this.divmod(num, 'mod', true).mod;\n  };\n\n  // Find Round(`this` / `num`)\n  BN.prototype.divRound = function divRound (num) {\n    var dm = this.divmod(num);\n\n    // Fast case - exact division\n    if (dm.mod.isZero()) return dm.div;\n\n    var mod = dm.div.negative !== 0 ? dm.mod.isub(num) : dm.mod;\n\n    var half = num.ushrn(1);\n    var r2 = num.andln(1);\n    var cmp = mod.cmp(half);\n\n    // Round down\n    if (cmp < 0 || r2 === 1 && cmp === 0) return dm.div;\n\n    // Round up\n    return dm.div.negative !== 0 ? dm.div.isubn(1) : dm.div.iaddn(1);\n  };\n\n  BN.prototype.modn = function modn (num) {\n    assert(num <= 0x3ffffff);\n    var p = (1 << 26) % num;\n\n    var acc = 0;\n    for (var i = this.length - 1; i >= 0; i--) {\n      acc = (p * acc + (this.words[i] | 0)) % num;\n    }\n\n    return acc;\n  };\n\n  // In-place division by number\n  BN.prototype.idivn = function idivn (num) {\n    assert(num <= 0x3ffffff);\n\n    var carry = 0;\n    for (var i = this.length - 1; i >= 0; i--) {\n      var w = (this.words[i] | 0) + carry * 0x4000000;\n      this.words[i] = (w / num) | 0;\n      carry = w % num;\n    }\n\n    return this.strip();\n  };\n\n  BN.prototype.divn = function divn (num) {\n    return this.clone().idivn(num);\n  };\n\n  BN.prototype.egcd = function egcd (p) {\n    assert(p.negative === 0);\n    assert(!p.isZero());\n\n    var x = this;\n    var y = p.clone();\n\n    if (x.negative !== 0) {\n      x = x.umod(p);\n    } else {\n      x = x.clone();\n    }\n\n    // A * x + B * y = x\n    var A = new BN(1);\n    var B = new BN(0);\n\n    // C * x + D * y = y\n    var C = new BN(0);\n    var D = new BN(1);\n\n    var g = 0;\n\n    while (x.isEven() && y.isEven()) {\n      x.iushrn(1);\n      y.iushrn(1);\n      ++g;\n    }\n\n    var yp = y.clone();\n    var xp = x.clone();\n\n    while (!x.isZero()) {\n      for (var i = 0, im = 1; (x.words[0] & im) === 0 && i < 26; ++i, im <<= 1);\n      if (i > 0) {\n        x.iushrn(i);\n        while (i-- > 0) {\n          if (A.isOdd() || B.isOdd()) {\n            A.iadd(yp);\n            B.isub(xp);\n          }\n\n          A.iushrn(1);\n          B.iushrn(1);\n        }\n      }\n\n      for (var j = 0, jm = 1; (y.words[0] & jm) === 0 && j < 26; ++j, jm <<= 1);\n      if (j > 0) {\n        y.iushrn(j);\n        while (j-- > 0) {\n          if (C.isOdd() || D.isOdd()) {\n            C.iadd(yp);\n            D.isub(xp);\n          }\n\n          C.iushrn(1);\n          D.iushrn(1);\n        }\n      }\n\n      if (x.cmp(y) >= 0) {\n        x.isub(y);\n        A.isub(C);\n        B.isub(D);\n      } else {\n        y.isub(x);\n        C.isub(A);\n        D.isub(B);\n      }\n    }\n\n    return {\n      a: C,\n      b: D,\n      gcd: y.iushln(g)\n    };\n  };\n\n  // This is reduced incarnation of the binary EEA\n  // above, designated to invert members of the\n  // _prime_ fields F(p) at a maximal speed\n  BN.prototype._invmp = function _invmp (p) {\n    assert(p.negative === 0);\n    assert(!p.isZero());\n\n    var a = this;\n    var b = p.clone();\n\n    if (a.negative !== 0) {\n      a = a.umod(p);\n    } else {\n      a = a.clone();\n    }\n\n    var x1 = new BN(1);\n    var x2 = new BN(0);\n\n    var delta = b.clone();\n\n    while (a.cmpn(1) > 0 && b.cmpn(1) > 0) {\n      for (var i = 0, im = 1; (a.words[0] & im) === 0 && i < 26; ++i, im <<= 1);\n      if (i > 0) {\n        a.iushrn(i);\n        while (i-- > 0) {\n          if (x1.isOdd()) {\n            x1.iadd(delta);\n          }\n\n          x1.iushrn(1);\n        }\n      }\n\n      for (var j = 0, jm = 1; (b.words[0] & jm) === 0 && j < 26; ++j, jm <<= 1);\n      if (j > 0) {\n        b.iushrn(j);\n        while (j-- > 0) {\n          if (x2.isOdd()) {\n            x2.iadd(delta);\n          }\n\n          x2.iushrn(1);\n        }\n      }\n\n      if (a.cmp(b) >= 0) {\n        a.isub(b);\n        x1.isub(x2);\n      } else {\n        b.isub(a);\n        x2.isub(x1);\n      }\n    }\n\n    var res;\n    if (a.cmpn(1) === 0) {\n      res = x1;\n    } else {\n      res = x2;\n    }\n\n    if (res.cmpn(0) < 0) {\n      res.iadd(p);\n    }\n\n    return res;\n  };\n\n  BN.prototype.gcd = function gcd (num) {\n    if (this.isZero()) return num.abs();\n    if (num.isZero()) return this.abs();\n\n    var a = this.clone();\n    var b = num.clone();\n    a.negative = 0;\n    b.negative = 0;\n\n    // Remove common factor of two\n    for (var shift = 0; a.isEven() && b.isEven(); shift++) {\n      a.iushrn(1);\n      b.iushrn(1);\n    }\n\n    do {\n      while (a.isEven()) {\n        a.iushrn(1);\n      }\n      while (b.isEven()) {\n        b.iushrn(1);\n      }\n\n      var r = a.cmp(b);\n      if (r < 0) {\n        // Swap `a` and `b` to make `a` always bigger than `b`\n        var t = a;\n        a = b;\n        b = t;\n      } else if (r === 0 || b.cmpn(1) === 0) {\n        break;\n      }\n\n      a.isub(b);\n    } while (true);\n\n    return b.iushln(shift);\n  };\n\n  // Invert number in the field F(num)\n  BN.prototype.invm = function invm (num) {\n    return this.egcd(num).a.umod(num);\n  };\n\n  BN.prototype.isEven = function isEven () {\n    return (this.words[0] & 1) === 0;\n  };\n\n  BN.prototype.isOdd = function isOdd () {\n    return (this.words[0] & 1) === 1;\n  };\n\n  // And first word and num\n  BN.prototype.andln = function andln (num) {\n    return this.words[0] & num;\n  };\n\n  // Increment at the bit position in-line\n  BN.prototype.bincn = function bincn (bit) {\n    assert(typeof bit === 'number');\n    var r = bit % 26;\n    var s = (bit - r) / 26;\n    var q = 1 << r;\n\n    // Fast case: bit is much higher than all existing words\n    if (this.length <= s) {\n      this._expand(s + 1);\n      this.words[s] |= q;\n      return this;\n    }\n\n    // Add bit and propagate, if needed\n    var carry = q;\n    for (var i = s; carry !== 0 && i < this.length; i++) {\n      var w = this.words[i] | 0;\n      w += carry;\n      carry = w >>> 26;\n      w &= 0x3ffffff;\n      this.words[i] = w;\n    }\n    if (carry !== 0) {\n      this.words[i] = carry;\n      this.length++;\n    }\n    return this;\n  };\n\n  BN.prototype.isZero = function isZero () {\n    return this.length === 1 && this.words[0] === 0;\n  };\n\n  BN.prototype.cmpn = function cmpn (num) {\n    var negative = num < 0;\n\n    if (this.negative !== 0 && !negative) return -1;\n    if (this.negative === 0 && negative) return 1;\n\n    this.strip();\n\n    var res;\n    if (this.length > 1) {\n      res = 1;\n    } else {\n      if (negative) {\n        num = -num;\n      }\n\n      assert(num <= 0x3ffffff, 'Number is too big');\n\n      var w = this.words[0] | 0;\n      res = w === num ? 0 : w < num ? -1 : 1;\n    }\n    if (this.negative !== 0) return -res | 0;\n    return res;\n  };\n\n  // Compare two numbers and return:\n  // 1 - if `this` > `num`\n  // 0 - if `this` == `num`\n  // -1 - if `this` < `num`\n  BN.prototype.cmp = function cmp (num) {\n    if (this.negative !== 0 && num.negative === 0) return -1;\n    if (this.negative === 0 && num.negative !== 0) return 1;\n\n    var res = this.ucmp(num);\n    if (this.negative !== 0) return -res | 0;\n    return res;\n  };\n\n  // Unsigned comparison\n  BN.prototype.ucmp = function ucmp (num) {\n    // At this point both numbers have the same sign\n    if (this.length > num.length) return 1;\n    if (this.length < num.length) return -1;\n\n    var res = 0;\n    for (var i = this.length - 1; i >= 0; i--) {\n      var a = this.words[i] | 0;\n      var b = num.words[i] | 0;\n\n      if (a === b) continue;\n      if (a < b) {\n        res = -1;\n      } else if (a > b) {\n        res = 1;\n      }\n      break;\n    }\n    return res;\n  };\n\n  BN.prototype.gtn = function gtn (num) {\n    return this.cmpn(num) === 1;\n  };\n\n  BN.prototype.gt = function gt (num) {\n    return this.cmp(num) === 1;\n  };\n\n  BN.prototype.gten = function gten (num) {\n    return this.cmpn(num) >= 0;\n  };\n\n  BN.prototype.gte = function gte (num) {\n    return this.cmp(num) >= 0;\n  };\n\n  BN.prototype.ltn = function ltn (num) {\n    return this.cmpn(num) === -1;\n  };\n\n  BN.prototype.lt = function lt (num) {\n    return this.cmp(num) === -1;\n  };\n\n  BN.prototype.lten = function lten (num) {\n    return this.cmpn(num) <= 0;\n  };\n\n  BN.prototype.lte = function lte (num) {\n    return this.cmp(num) <= 0;\n  };\n\n  BN.prototype.eqn = function eqn (num) {\n    return this.cmpn(num) === 0;\n  };\n\n  BN.prototype.eq = function eq (num) {\n    return this.cmp(num) === 0;\n  };\n\n  //\n  // A reduce context, could be using montgomery or something better, depending\n  // on the `m` itself.\n  //\n  BN.red = function red (num) {\n    return new Red(num);\n  };\n\n  BN.prototype.toRed = function toRed (ctx) {\n    assert(!this.red, 'Already a number in reduction context');\n    assert(this.negative === 0, 'red works only with positives');\n    return ctx.convertTo(this)._forceRed(ctx);\n  };\n\n  BN.prototype.fromRed = function fromRed () {\n    assert(this.red, 'fromRed works only with numbers in reduction context');\n    return this.red.convertFrom(this);\n  };\n\n  BN.prototype._forceRed = function _forceRed (ctx) {\n    this.red = ctx;\n    return this;\n  };\n\n  BN.prototype.forceRed = function forceRed (ctx) {\n    assert(!this.red, 'Already a number in reduction context');\n    return this._forceRed(ctx);\n  };\n\n  BN.prototype.redAdd = function redAdd (num) {\n    assert(this.red, 'redAdd works only with red numbers');\n    return this.red.add(this, num);\n  };\n\n  BN.prototype.redIAdd = function redIAdd (num) {\n    assert(this.red, 'redIAdd works only with red numbers');\n    return this.red.iadd(this, num);\n  };\n\n  BN.prototype.redSub = function redSub (num) {\n    assert(this.red, 'redSub works only with red numbers');\n    return this.red.sub(this, num);\n  };\n\n  BN.prototype.redISub = function redISub (num) {\n    assert(this.red, 'redISub works only with red numbers');\n    return this.red.isub(this, num);\n  };\n\n  BN.prototype.redShl = function redShl (num) {\n    assert(this.red, 'redShl works only with red numbers');\n    return this.red.shl(this, num);\n  };\n\n  BN.prototype.redMul = function redMul (num) {\n    assert(this.red, 'redMul works only with red numbers');\n    this.red._verify2(this, num);\n    return this.red.mul(this, num);\n  };\n\n  BN.prototype.redIMul = function redIMul (num) {\n    assert(this.red, 'redMul works only with red numbers');\n    this.red._verify2(this, num);\n    return this.red.imul(this, num);\n  };\n\n  BN.prototype.redSqr = function redSqr () {\n    assert(this.red, 'redSqr works only with red numbers');\n    this.red._verify1(this);\n    return this.red.sqr(this);\n  };\n\n  BN.prototype.redISqr = function redISqr () {\n    assert(this.red, 'redISqr works only with red numbers');\n    this.red._verify1(this);\n    return this.red.isqr(this);\n  };\n\n  // Square root over p\n  BN.prototype.redSqrt = function redSqrt () {\n    assert(this.red, 'redSqrt works only with red numbers');\n    this.red._verify1(this);\n    return this.red.sqrt(this);\n  };\n\n  BN.prototype.redInvm = function redInvm () {\n    assert(this.red, 'redInvm works only with red numbers');\n    this.red._verify1(this);\n    return this.red.invm(this);\n  };\n\n  // Return negative clone of `this` % `red modulo`\n  BN.prototype.redNeg = function redNeg () {\n    assert(this.red, 'redNeg works only with red numbers');\n    this.red._verify1(this);\n    return this.red.neg(this);\n  };\n\n  BN.prototype.redPow = function redPow (num) {\n    assert(this.red && !num.red, 'redPow(normalNum)');\n    this.red._verify1(this);\n    return this.red.pow(this, num);\n  };\n\n  // Prime numbers with efficient reduction\n  var primes = {\n    k256: null,\n    p224: null,\n    p192: null,\n    p25519: null\n  };\n\n  // Pseudo-Mersenne prime\n  function MPrime (name, p) {\n    // P = 2 ^ N - K\n    this.name = name;\n    this.p = new BN(p, 16);\n    this.n = this.p.bitLength();\n    this.k = new BN(1).iushln(this.n).isub(this.p);\n\n    this.tmp = this._tmp();\n  }\n\n  MPrime.prototype._tmp = function _tmp () {\n    var tmp = new BN(null);\n    tmp.words = new Array(Math.ceil(this.n / 13));\n    return tmp;\n  };\n\n  MPrime.prototype.ireduce = function ireduce (num) {\n    // Assumes that `num` is less than `P^2`\n    // num = HI * (2 ^ N - K) + HI * K + LO = HI * K + LO (mod P)\n    var r = num;\n    var rlen;\n\n    do {\n      this.split(r, this.tmp);\n      r = this.imulK(r);\n      r = r.iadd(this.tmp);\n      rlen = r.bitLength();\n    } while (rlen > this.n);\n\n    var cmp = rlen < this.n ? -1 : r.ucmp(this.p);\n    if (cmp === 0) {\n      r.words[0] = 0;\n      r.length = 1;\n    } else if (cmp > 0) {\n      r.isub(this.p);\n    } else {\n      if (r.strip !== undefined) {\n        // r is BN v4 instance\n        r.strip();\n      } else {\n        // r is BN v5 instance\n        r._strip();\n      }\n    }\n\n    return r;\n  };\n\n  MPrime.prototype.split = function split (input, out) {\n    input.iushrn(this.n, 0, out);\n  };\n\n  MPrime.prototype.imulK = function imulK (num) {\n    return num.imul(this.k);\n  };\n\n  function K256 () {\n    MPrime.call(\n      this,\n      'k256',\n      'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f');\n  }\n  inherits(K256, MPrime);\n\n  K256.prototype.split = function split (input, output) {\n    // 256 = 9 * 26 + 22\n    var mask = 0x3fffff;\n\n    var outLen = Math.min(input.length, 9);\n    for (var i = 0; i < outLen; i++) {\n      output.words[i] = input.words[i];\n    }\n    output.length = outLen;\n\n    if (input.length <= 9) {\n      input.words[0] = 0;\n      input.length = 1;\n      return;\n    }\n\n    // Shift by 9 limbs\n    var prev = input.words[9];\n    output.words[output.length++] = prev & mask;\n\n    for (i = 10; i < input.length; i++) {\n      var next = input.words[i] | 0;\n      input.words[i - 10] = ((next & mask) << 4) | (prev >>> 22);\n      prev = next;\n    }\n    prev >>>= 22;\n    input.words[i - 10] = prev;\n    if (prev === 0 && input.length > 10) {\n      input.length -= 10;\n    } else {\n      input.length -= 9;\n    }\n  };\n\n  K256.prototype.imulK = function imulK (num) {\n    // K = 0x1000003d1 = [ 0x40, 0x3d1 ]\n    num.words[num.length] = 0;\n    num.words[num.length + 1] = 0;\n    num.length += 2;\n\n    // bounded at: 0x40 * 0x3ffffff + 0x3d0 = 0x100000390\n    var lo = 0;\n    for (var i = 0; i < num.length; i++) {\n      var w = num.words[i] | 0;\n      lo += w * 0x3d1;\n      num.words[i] = lo & 0x3ffffff;\n      lo = w * 0x40 + ((lo / 0x4000000) | 0);\n    }\n\n    // Fast length reduction\n    if (num.words[num.length - 1] === 0) {\n      num.length--;\n      if (num.words[num.length - 1] === 0) {\n        num.length--;\n      }\n    }\n    return num;\n  };\n\n  function P224 () {\n    MPrime.call(\n      this,\n      'p224',\n      'ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001');\n  }\n  inherits(P224, MPrime);\n\n  function P192 () {\n    MPrime.call(\n      this,\n      'p192',\n      'ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff');\n  }\n  inherits(P192, MPrime);\n\n  function P25519 () {\n    // 2 ^ 255 - 19\n    MPrime.call(\n      this,\n      '25519',\n      '7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed');\n  }\n  inherits(P25519, MPrime);\n\n  P25519.prototype.imulK = function imulK (num) {\n    // K = 0x13\n    var carry = 0;\n    for (var i = 0; i < num.length; i++) {\n      var hi = (num.words[i] | 0) * 0x13 + carry;\n      var lo = hi & 0x3ffffff;\n      hi >>>= 26;\n\n      num.words[i] = lo;\n      carry = hi;\n    }\n    if (carry !== 0) {\n      num.words[num.length++] = carry;\n    }\n    return num;\n  };\n\n  // Exported mostly for testing purposes, use plain name instead\n  BN._prime = function prime (name) {\n    // Cached version of prime\n    if (primes[name]) return primes[name];\n\n    var prime;\n    if (name === 'k256') {\n      prime = new K256();\n    } else if (name === 'p224') {\n      prime = new P224();\n    } else if (name === 'p192') {\n      prime = new P192();\n    } else if (name === 'p25519') {\n      prime = new P25519();\n    } else {\n      throw new Error('Unknown prime ' + name);\n    }\n    primes[name] = prime;\n\n    return prime;\n  };\n\n  //\n  // Base reduction engine\n  //\n  function Red (m) {\n    if (typeof m === 'string') {\n      var prime = BN._prime(m);\n      this.m = prime.p;\n      this.prime = prime;\n    } else {\n      assert(m.gtn(1), 'modulus must be greater than 1');\n      this.m = m;\n      this.prime = null;\n    }\n  }\n\n  Red.prototype._verify1 = function _verify1 (a) {\n    assert(a.negative === 0, 'red works only with positives');\n    assert(a.red, 'red works only with red numbers');\n  };\n\n  Red.prototype._verify2 = function _verify2 (a, b) {\n    assert((a.negative | b.negative) === 0, 'red works only with positives');\n    assert(a.red && a.red === b.red,\n      'red works only with red numbers');\n  };\n\n  Red.prototype.imod = function imod (a) {\n    if (this.prime) return this.prime.ireduce(a)._forceRed(this);\n    return a.umod(this.m)._forceRed(this);\n  };\n\n  Red.prototype.neg = function neg (a) {\n    if (a.isZero()) {\n      return a.clone();\n    }\n\n    return this.m.sub(a)._forceRed(this);\n  };\n\n  Red.prototype.add = function add (a, b) {\n    this._verify2(a, b);\n\n    var res = a.add(b);\n    if (res.cmp(this.m) >= 0) {\n      res.isub(this.m);\n    }\n    return res._forceRed(this);\n  };\n\n  Red.prototype.iadd = function iadd (a, b) {\n    this._verify2(a, b);\n\n    var res = a.iadd(b);\n    if (res.cmp(this.m) >= 0) {\n      res.isub(this.m);\n    }\n    return res;\n  };\n\n  Red.prototype.sub = function sub (a, b) {\n    this._verify2(a, b);\n\n    var res = a.sub(b);\n    if (res.cmpn(0) < 0) {\n      res.iadd(this.m);\n    }\n    return res._forceRed(this);\n  };\n\n  Red.prototype.isub = function isub (a, b) {\n    this._verify2(a, b);\n\n    var res = a.isub(b);\n    if (res.cmpn(0) < 0) {\n      res.iadd(this.m);\n    }\n    return res;\n  };\n\n  Red.prototype.shl = function shl (a, num) {\n    this._verify1(a);\n    return this.imod(a.ushln(num));\n  };\n\n  Red.prototype.imul = function imul (a, b) {\n    this._verify2(a, b);\n    return this.imod(a.imul(b));\n  };\n\n  Red.prototype.mul = function mul (a, b) {\n    this._verify2(a, b);\n    return this.imod(a.mul(b));\n  };\n\n  Red.prototype.isqr = function isqr (a) {\n    return this.imul(a, a.clone());\n  };\n\n  Red.prototype.sqr = function sqr (a) {\n    return this.mul(a, a);\n  };\n\n  Red.prototype.sqrt = function sqrt (a) {\n    if (a.isZero()) return a.clone();\n\n    var mod3 = this.m.andln(3);\n    assert(mod3 % 2 === 1);\n\n    // Fast case\n    if (mod3 === 3) {\n      var pow = this.m.add(new BN(1)).iushrn(2);\n      return this.pow(a, pow);\n    }\n\n    // Tonelli-Shanks algorithm (Totally unoptimized and slow)\n    //\n    // Find Q and S, that Q * 2 ^ S = (P - 1)\n    var q = this.m.subn(1);\n    var s = 0;\n    while (!q.isZero() && q.andln(1) === 0) {\n      s++;\n      q.iushrn(1);\n    }\n    assert(!q.isZero());\n\n    var one = new BN(1).toRed(this);\n    var nOne = one.redNeg();\n\n    // Find quadratic non-residue\n    // NOTE: Max is such because of generalized Riemann hypothesis.\n    var lpow = this.m.subn(1).iushrn(1);\n    var z = this.m.bitLength();\n    z = new BN(2 * z * z).toRed(this);\n\n    while (this.pow(z, lpow).cmp(nOne) !== 0) {\n      z.redIAdd(nOne);\n    }\n\n    var c = this.pow(z, q);\n    var r = this.pow(a, q.addn(1).iushrn(1));\n    var t = this.pow(a, q);\n    var m = s;\n    while (t.cmp(one) !== 0) {\n      var tmp = t;\n      for (var i = 0; tmp.cmp(one) !== 0; i++) {\n        tmp = tmp.redSqr();\n      }\n      assert(i < m);\n      var b = this.pow(c, new BN(1).iushln(m - i - 1));\n\n      r = r.redMul(b);\n      c = b.redSqr();\n      t = t.redMul(c);\n      m = i;\n    }\n\n    return r;\n  };\n\n  Red.prototype.invm = function invm (a) {\n    var inv = a._invmp(this.m);\n    if (inv.negative !== 0) {\n      inv.negative = 0;\n      return this.imod(inv).redNeg();\n    } else {\n      return this.imod(inv);\n    }\n  };\n\n  Red.prototype.pow = function pow (a, num) {\n    if (num.isZero()) return new BN(1).toRed(this);\n    if (num.cmpn(1) === 0) return a.clone();\n\n    var windowSize = 4;\n    var wnd = new Array(1 << windowSize);\n    wnd[0] = new BN(1).toRed(this);\n    wnd[1] = a;\n    for (var i = 2; i < wnd.length; i++) {\n      wnd[i] = this.mul(wnd[i - 1], a);\n    }\n\n    var res = wnd[0];\n    var current = 0;\n    var currentLen = 0;\n    var start = num.bitLength() % 26;\n    if (start === 0) {\n      start = 26;\n    }\n\n    for (i = num.length - 1; i >= 0; i--) {\n      var word = num.words[i];\n      for (var j = start - 1; j >= 0; j--) {\n        var bit = (word >> j) & 1;\n        if (res !== wnd[0]) {\n          res = this.sqr(res);\n        }\n\n        if (bit === 0 && current === 0) {\n          currentLen = 0;\n          continue;\n        }\n\n        current <<= 1;\n        current |= bit;\n        currentLen++;\n        if (currentLen !== windowSize && (i !== 0 || j !== 0)) continue;\n\n        res = this.mul(res, wnd[current]);\n        currentLen = 0;\n        current = 0;\n      }\n      start = 26;\n    }\n\n    return res;\n  };\n\n  Red.prototype.convertTo = function convertTo (num) {\n    var r = num.umod(this.m);\n\n    return r === num ? r.clone() : r;\n  };\n\n  Red.prototype.convertFrom = function convertFrom (num) {\n    var res = num.clone();\n    res.red = null;\n    return res;\n  };\n\n  //\n  // Montgomery method engine\n  //\n\n  BN.mont = function mont (num) {\n    return new Mont(num);\n  };\n\n  function Mont (m) {\n    Red.call(this, m);\n\n    this.shift = this.m.bitLength();\n    if (this.shift % 26 !== 0) {\n      this.shift += 26 - (this.shift % 26);\n    }\n\n    this.r = new BN(1).iushln(this.shift);\n    this.r2 = this.imod(this.r.sqr());\n    this.rinv = this.r._invmp(this.m);\n\n    this.minv = this.rinv.mul(this.r).isubn(1).div(this.m);\n    this.minv = this.minv.umod(this.r);\n    this.minv = this.r.sub(this.minv);\n  }\n  inherits(Mont, Red);\n\n  Mont.prototype.convertTo = function convertTo (num) {\n    return this.imod(num.ushln(this.shift));\n  };\n\n  Mont.prototype.convertFrom = function convertFrom (num) {\n    var r = this.imod(num.mul(this.rinv));\n    r.red = null;\n    return r;\n  };\n\n  Mont.prototype.imul = function imul (a, b) {\n    if (a.isZero() || b.isZero()) {\n      a.words[0] = 0;\n      a.length = 1;\n      return a;\n    }\n\n    var t = a.imul(b);\n    var c = t.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m);\n    var u = t.isub(c).iushrn(this.shift);\n    var res = u;\n\n    if (u.cmp(this.m) >= 0) {\n      res = u.isub(this.m);\n    } else if (u.cmpn(0) < 0) {\n      res = u.iadd(this.m);\n    }\n\n    return res._forceRed(this);\n  };\n\n  Mont.prototype.mul = function mul (a, b) {\n    if (a.isZero() || b.isZero()) return new BN(0)._forceRed(this);\n\n    var t = a.mul(b);\n    var c = t.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m);\n    var u = t.isub(c).iushrn(this.shift);\n    var res = u;\n    if (u.cmp(this.m) >= 0) {\n      res = u.isub(this.m);\n    } else if (u.cmpn(0) < 0) {\n      res = u.iadd(this.m);\n    }\n\n    return res._forceRed(this);\n  };\n\n  Mont.prototype.invm = function invm (a) {\n    // (AR)^-1 * R^2 = (A^-1 * R^-1) * R^2 = A^-1 * R\n    var res = this.imod(a._invmp(this.m).mul(this.r2));\n    return res._forceRed(this);\n  };\n})(typeof module === 'undefined' || module, this);\n","'use strict';\n\nfunction _classCallCheck(instance, Constructor) { if (!(instance instanceof Constructor)) { throw new TypeError(\"Cannot call a class as a function\"); } }\n\nvar Buffer = require('safe-buffer').Buffer;\nvar util = require('util');\n\nfunction copyBuffer(src, target, offset) {\n  src.copy(target, offset);\n}\n\nmodule.exports = function () {\n  function BufferList() {\n    _classCallCheck(this, BufferList);\n\n    this.head = null;\n    this.tail = null;\n    this.length = 0;\n  }\n\n  BufferList.prototype.push = function push(v) {\n    var entry = { data: v, next: null };\n    if (this.length > 0) this.tail.next = entry;else this.head = entry;\n    this.tail = entry;\n    ++this.length;\n  };\n\n  BufferList.prototype.unshift = function unshift(v) {\n    var entry = { data: v, next: this.head };\n    if (this.length === 0) this.tail = entry;\n    this.head = entry;\n    ++this.length;\n  };\n\n  BufferList.prototype.shift = function shift() {\n    if (this.length === 0) return;\n    var ret = this.head.data;\n    if (this.length === 1) this.head = this.tail = null;else this.head = this.head.next;\n    --this.length;\n    return ret;\n  };\n\n  BufferList.prototype.clear = function clear() {\n    this.head = this.tail = null;\n    this.length = 0;\n  };\n\n  BufferList.prototype.join = function join(s) {\n    if (this.length === 0) return '';\n    var p = this.head;\n    var ret = '' + p.data;\n    while (p = p.next) {\n      ret += s + p.data;\n    }return ret;\n  };\n\n  BufferList.prototype.concat = function concat(n) {\n    if (this.length === 0) return Buffer.alloc(0);\n    var ret = Buffer.allocUnsafe(n >>> 0);\n    var p = this.head;\n    var i = 0;\n    while (p) {\n      copyBuffer(p.data, ret, i);\n      i += p.data.length;\n      p = p.next;\n    }\n    return ret;\n  };\n\n  return BufferList;\n}();\n\nif (util && util.inspect && util.inspect.custom) {\n  module.exports.prototype[util.inspect.custom] = function () {\n    var obj = util.inspect({ length: this.length });\n    return this.constructor.name + ' ' + obj;\n  };\n}","/* eslint-disable node/no-deprecated-api */\nvar buffer = require('buffer')\nvar Buffer = buffer.Buffer\n\n// alternative to using Object.keys for old browsers\nfunction copyProps (src, dst) {\n  for (var key in src) {\n    dst[key] = src[key]\n  }\n}\nif (Buffer.from && Buffer.alloc && Buffer.allocUnsafe && Buffer.allocUnsafeSlow) {\n  module.exports = buffer\n} else {\n  // Copy properties from require('buffer')\n  copyProps(buffer, exports)\n  exports.Buffer = SafeBuffer\n}\n\nfunction SafeBuffer (arg, encodingOrOffset, length) {\n  return Buffer(arg, encodingOrOffset, length)\n}\n\n// Copy static methods from Buffer\ncopyProps(Buffer, SafeBuffer)\n\nSafeBuffer.from = function (arg, encodingOrOffset, length) {\n  if (typeof arg === 'number') {\n    throw new TypeError('Argument must not be a number')\n  }\n  return Buffer(arg, encodingOrOffset, length)\n}\n\nSafeBuffer.alloc = function (size, fill, encoding) {\n  if (typeof size !== 'number') {\n    throw new TypeError('Argument must be a number')\n  }\n  var buf = Buffer(size)\n  if (fill !== undefined) {\n    if (typeof encoding === 'string') {\n      buf.fill(fill, encoding)\n    } else {\n      buf.fill(fill)\n    }\n  } else {\n    buf.fill(0)\n  }\n  return buf\n}\n\nSafeBuffer.allocUnsafe = function (size) {\n  if (typeof size !== 'number') {\n    throw new TypeError('Argument must be a number')\n  }\n  return Buffer(size)\n}\n\nSafeBuffer.allocUnsafeSlow = function (size) {\n  if (typeof size !== 'number') {\n    throw new TypeError('Argument must be a number')\n  }\n  return buffer.SlowBuffer(size)\n}\n","'use strict';\n\nvar elliptic = exports;\n\nelliptic.version = require('../package.json').version;\nelliptic.utils = require('./elliptic/utils');\nelliptic.rand = require('brorand');\nelliptic.curve = require('./elliptic/curve');\nelliptic.curves = require('./elliptic/curves');\n\n// Protocols\nelliptic.ec = require('./elliptic/ec');\nelliptic.eddsa = require('./elliptic/eddsa');\n","(function (module, exports) {\n  'use strict';\n\n  // Utils\n  function assert (val, msg) {\n    if (!val) throw new Error(msg || 'Assertion failed');\n  }\n\n  // Could use `inherits` module, but don't want to move from single file\n  // architecture yet.\n  function inherits (ctor, superCtor) {\n    ctor.super_ = superCtor;\n    var TempCtor = function () {};\n    TempCtor.prototype = superCtor.prototype;\n    ctor.prototype = new TempCtor();\n    ctor.prototype.constructor = ctor;\n  }\n\n  // BN\n\n  function BN (number, base, endian) {\n    if (BN.isBN(number)) {\n      return number;\n    }\n\n    this.negative = 0;\n    this.words = null;\n    this.length = 0;\n\n    // Reduction context\n    this.red = null;\n\n    if (number !== null) {\n      if (base === 'le' || base === 'be') {\n        endian = base;\n        base = 10;\n      }\n\n      this._init(number || 0, base || 10, endian || 'be');\n    }\n  }\n  if (typeof module === 'object') {\n    module.exports = BN;\n  } else {\n    exports.BN = BN;\n  }\n\n  BN.BN = BN;\n  BN.wordSize = 26;\n\n  var Buffer;\n  try {\n    if (typeof window !== 'undefined' && typeof window.Buffer !== 'undefined') {\n      Buffer = window.Buffer;\n    } else {\n      Buffer = require('buffer').Buffer;\n    }\n  } catch (e) {\n  }\n\n  BN.isBN = function isBN (num) {\n    if (num instanceof BN) {\n      return true;\n    }\n\n    return num !== null && typeof num === 'object' &&\n      num.constructor.wordSize === BN.wordSize && Array.isArray(num.words);\n  };\n\n  BN.max = function max (left, right) {\n    if (left.cmp(right) > 0) return left;\n    return right;\n  };\n\n  BN.min = function min (left, right) {\n    if (left.cmp(right) < 0) return left;\n    return right;\n  };\n\n  BN.prototype._init = function init (number, base, endian) {\n    if (typeof number === 'number') {\n      return this._initNumber(number, base, endian);\n    }\n\n    if (typeof number === 'object') {\n      return this._initArray(number, base, endian);\n    }\n\n    if (base === 'hex') {\n      base = 16;\n    }\n    assert(base === (base | 0) && base >= 2 && base <= 36);\n\n    number = number.toString().replace(/\\s+/g, '');\n    var start = 0;\n    if (number[0] === '-') {\n      start++;\n      this.negative = 1;\n    }\n\n    if (start < number.length) {\n      if (base === 16) {\n        this._parseHex(number, start, endian);\n      } else {\n        this._parseBase(number, base, start);\n        if (endian === 'le') {\n          this._initArray(this.toArray(), base, endian);\n        }\n      }\n    }\n  };\n\n  BN.prototype._initNumber = function _initNumber (number, base, endian) {\n    if (number < 0) {\n      this.negative = 1;\n      number = -number;\n    }\n    if (number < 0x4000000) {\n      this.words = [number & 0x3ffffff];\n      this.length = 1;\n    } else if (number < 0x10000000000000) {\n      this.words = [\n        number & 0x3ffffff,\n        (number / 0x4000000) & 0x3ffffff\n      ];\n      this.length = 2;\n    } else {\n      assert(number < 0x20000000000000); // 2 ^ 53 (unsafe)\n      this.words = [\n        number & 0x3ffffff,\n        (number / 0x4000000) & 0x3ffffff,\n        1\n      ];\n      this.length = 3;\n    }\n\n    if (endian !== 'le') return;\n\n    // Reverse the bytes\n    this._initArray(this.toArray(), base, endian);\n  };\n\n  BN.prototype._initArray = function _initArray (number, base, endian) {\n    // Perhaps a Uint8Array\n    assert(typeof number.length === 'number');\n    if (number.length <= 0) {\n      this.words = [0];\n      this.length = 1;\n      return this;\n    }\n\n    this.length = Math.ceil(number.length / 3);\n    this.words = new Array(this.length);\n    for (var i = 0; i < this.length; i++) {\n      this.words[i] = 0;\n    }\n\n    var j, w;\n    var off = 0;\n    if (endian === 'be') {\n      for (i = number.length - 1, j = 0; i >= 0; i -= 3) {\n        w = number[i] | (number[i - 1] << 8) | (number[i - 2] << 16);\n        this.words[j] |= (w << off) & 0x3ffffff;\n        this.words[j + 1] = (w >>> (26 - off)) & 0x3ffffff;\n        off += 24;\n        if (off >= 26) {\n          off -= 26;\n          j++;\n        }\n      }\n    } else if (endian === 'le') {\n      for (i = 0, j = 0; i < number.length; i += 3) {\n        w = number[i] | (number[i + 1] << 8) | (number[i + 2] << 16);\n        this.words[j] |= (w << off) & 0x3ffffff;\n        this.words[j + 1] = (w >>> (26 - off)) & 0x3ffffff;\n        off += 24;\n        if (off >= 26) {\n          off -= 26;\n          j++;\n        }\n      }\n    }\n    return this._strip();\n  };\n\n  function parseHex4Bits (string, index) {\n    var c = string.charCodeAt(index);\n    // '0' - '9'\n    if (c >= 48 && c <= 57) {\n      return c - 48;\n    // 'A' - 'F'\n    } else if (c >= 65 && c <= 70) {\n      return c - 55;\n    // 'a' - 'f'\n    } else if (c >= 97 && c <= 102) {\n      return c - 87;\n    } else {\n      assert(false, 'Invalid character in ' + string);\n    }\n  }\n\n  function parseHexByte (string, lowerBound, index) {\n    var r = parseHex4Bits(string, index);\n    if (index - 1 >= lowerBound) {\n      r |= parseHex4Bits(string, index - 1) << 4;\n    }\n    return r;\n  }\n\n  BN.prototype._parseHex = function _parseHex (number, start, endian) {\n    // Create possibly bigger array to ensure that it fits the number\n    this.length = Math.ceil((number.length - start) / 6);\n    this.words = new Array(this.length);\n    for (var i = 0; i < this.length; i++) {\n      this.words[i] = 0;\n    }\n\n    // 24-bits chunks\n    var off = 0;\n    var j = 0;\n\n    var w;\n    if (endian === 'be') {\n      for (i = number.length - 1; i >= start; i -= 2) {\n        w = parseHexByte(number, start, i) << off;\n        this.words[j] |= w & 0x3ffffff;\n        if (off >= 18) {\n          off -= 18;\n          j += 1;\n          this.words[j] |= w >>> 26;\n        } else {\n          off += 8;\n        }\n      }\n    } else {\n      var parseLength = number.length - start;\n      for (i = parseLength % 2 === 0 ? start + 1 : start; i < number.length; i += 2) {\n        w = parseHexByte(number, start, i) << off;\n        this.words[j] |= w & 0x3ffffff;\n        if (off >= 18) {\n          off -= 18;\n          j += 1;\n          this.words[j] |= w >>> 26;\n        } else {\n          off += 8;\n        }\n      }\n    }\n\n    this._strip();\n  };\n\n  function parseBase (str, start, end, mul) {\n    var r = 0;\n    var b = 0;\n    var len = Math.min(str.length, end);\n    for (var i = start; i < len; i++) {\n      var c = str.charCodeAt(i) - 48;\n\n      r *= mul;\n\n      // 'a'\n      if (c >= 49) {\n        b = c - 49 + 0xa;\n\n      // 'A'\n      } else if (c >= 17) {\n        b = c - 17 + 0xa;\n\n      // '0' - '9'\n      } else {\n        b = c;\n      }\n      assert(c >= 0 && b < mul, 'Invalid character');\n      r += b;\n    }\n    return r;\n  }\n\n  BN.prototype._parseBase = function _parseBase (number, base, start) {\n    // Initialize as zero\n    this.words = [0];\n    this.length = 1;\n\n    // Find length of limb in base\n    for (var limbLen = 0, limbPow = 1; limbPow <= 0x3ffffff; limbPow *= base) {\n      limbLen++;\n    }\n    limbLen--;\n    limbPow = (limbPow / base) | 0;\n\n    var total = number.length - start;\n    var mod = total % limbLen;\n    var end = Math.min(total, total - mod) + start;\n\n    var word = 0;\n    for (var i = start; i < end; i += limbLen) {\n      word = parseBase(number, i, i + limbLen, base);\n\n      this.imuln(limbPow);\n      if (this.words[0] + word < 0x4000000) {\n        this.words[0] += word;\n      } else {\n        this._iaddn(word);\n      }\n    }\n\n    if (mod !== 0) {\n      var pow = 1;\n      word = parseBase(number, i, number.length, base);\n\n      for (i = 0; i < mod; i++) {\n        pow *= base;\n      }\n\n      this.imuln(pow);\n      if (this.words[0] + word < 0x4000000) {\n        this.words[0] += word;\n      } else {\n        this._iaddn(word);\n      }\n    }\n\n    this._strip();\n  };\n\n  BN.prototype.copy = function copy (dest) {\n    dest.words = new Array(this.length);\n    for (var i = 0; i < this.length; i++) {\n      dest.words[i] = this.words[i];\n    }\n    dest.length = this.length;\n    dest.negative = this.negative;\n    dest.red = this.red;\n  };\n\n  function move (dest, src) {\n    dest.words = src.words;\n    dest.length = src.length;\n    dest.negative = src.negative;\n    dest.red = src.red;\n  }\n\n  BN.prototype._move = function _move (dest) {\n    move(dest, this);\n  };\n\n  BN.prototype.clone = function clone () {\n    var r = new BN(null);\n    this.copy(r);\n    return r;\n  };\n\n  BN.prototype._expand = function _expand (size) {\n    while (this.length < size) {\n      this.words[this.length++] = 0;\n    }\n    return this;\n  };\n\n  // Remove leading `0` from `this`\n  BN.prototype._strip = function strip () {\n    while (this.length > 1 && this.words[this.length - 1] === 0) {\n      this.length--;\n    }\n    return this._normSign();\n  };\n\n  BN.prototype._normSign = function _normSign () {\n    // -0 = 0\n    if (this.length === 1 && this.words[0] === 0) {\n      this.negative = 0;\n    }\n    return this;\n  };\n\n  // Check Symbol.for because not everywhere where Symbol defined\n  // See https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Symbol#Browser_compatibility\n  if (typeof Symbol !== 'undefined' && typeof Symbol.for === 'function') {\n    try {\n      BN.prototype[Symbol.for('nodejs.util.inspect.custom')] = inspect;\n    } catch (e) {\n      BN.prototype.inspect = inspect;\n    }\n  } else {\n    BN.prototype.inspect = inspect;\n  }\n\n  function inspect () {\n    return (this.red ? '<BN-R: ' : '<BN: ') + this.toString(16) + '>';\n  }\n\n  /*\n\n  var zeros = [];\n  var groupSizes = [];\n  var groupBases = [];\n\n  var s = '';\n  var i = -1;\n  while (++i < BN.wordSize) {\n    zeros[i] = s;\n    s += '0';\n  }\n  groupSizes[0] = 0;\n  groupSizes[1] = 0;\n  groupBases[0] = 0;\n  groupBases[1] = 0;\n  var base = 2 - 1;\n  while (++base < 36 + 1) {\n    var groupSize = 0;\n    var groupBase = 1;\n    while (groupBase < (1 << BN.wordSize) / base) {\n      groupBase *= base;\n      groupSize += 1;\n    }\n    groupSizes[base] = groupSize;\n    groupBases[base] = groupBase;\n  }\n\n  */\n\n  var zeros = [\n    '',\n    '0',\n    '00',\n    '000',\n    '0000',\n    '00000',\n    '000000',\n    '0000000',\n    '00000000',\n    '000000000',\n    '0000000000',\n    '00000000000',\n    '000000000000',\n    '0000000000000',\n    '00000000000000',\n    '000000000000000',\n    '0000000000000000',\n    '00000000000000000',\n    '000000000000000000',\n    '0000000000000000000',\n    '00000000000000000000',\n    '000000000000000000000',\n    '0000000000000000000000',\n    '00000000000000000000000',\n    '000000000000000000000000',\n    '0000000000000000000000000'\n  ];\n\n  var groupSizes = [\n    0, 0,\n    25, 16, 12, 11, 10, 9, 8,\n    8, 7, 7, 7, 7, 6, 6,\n    6, 6, 6, 6, 6, 5, 5,\n    5, 5, 5, 5, 5, 5, 5,\n    5, 5, 5, 5, 5, 5, 5\n  ];\n\n  var groupBases = [\n    0, 0,\n    33554432, 43046721, 16777216, 48828125, 60466176, 40353607, 16777216,\n    43046721, 10000000, 19487171, 35831808, 62748517, 7529536, 11390625,\n    16777216, 24137569, 34012224, 47045881, 64000000, 4084101, 5153632,\n    6436343, 7962624, 9765625, 11881376, 14348907, 17210368, 20511149,\n    24300000, 28629151, 33554432, 39135393, 45435424, 52521875, 60466176\n  ];\n\n  BN.prototype.toString = function toString (base, padding) {\n    base = base || 10;\n    padding = padding | 0 || 1;\n\n    var out;\n    if (base === 16 || base === 'hex') {\n      out = '';\n      var off = 0;\n      var carry = 0;\n      for (var i = 0; i < this.length; i++) {\n        var w = this.words[i];\n        var word = (((w << off) | carry) & 0xffffff).toString(16);\n        carry = (w >>> (24 - off)) & 0xffffff;\n        off += 2;\n        if (off >= 26) {\n          off -= 26;\n          i--;\n        }\n        if (carry !== 0 || i !== this.length - 1) {\n          out = zeros[6 - word.length] + word + out;\n        } else {\n          out = word + out;\n        }\n      }\n      if (carry !== 0) {\n        out = carry.toString(16) + out;\n      }\n      while (out.length % padding !== 0) {\n        out = '0' + out;\n      }\n      if (this.negative !== 0) {\n        out = '-' + out;\n      }\n      return out;\n    }\n\n    if (base === (base | 0) && base >= 2 && base <= 36) {\n      // var groupSize = Math.floor(BN.wordSize * Math.LN2 / Math.log(base));\n      var groupSize = groupSizes[base];\n      // var groupBase = Math.pow(base, groupSize);\n      var groupBase = groupBases[base];\n      out = '';\n      var c = this.clone();\n      c.negative = 0;\n      while (!c.isZero()) {\n        var r = c.modrn(groupBase).toString(base);\n        c = c.idivn(groupBase);\n\n        if (!c.isZero()) {\n          out = zeros[groupSize - r.length] + r + out;\n        } else {\n          out = r + out;\n        }\n      }\n      if (this.isZero()) {\n        out = '0' + out;\n      }\n      while (out.length % padding !== 0) {\n        out = '0' + out;\n      }\n      if (this.negative !== 0) {\n        out = '-' + out;\n      }\n      return out;\n    }\n\n    assert(false, 'Base should be between 2 and 36');\n  };\n\n  BN.prototype.toNumber = function toNumber () {\n    var ret = this.words[0];\n    if (this.length === 2) {\n      ret += this.words[1] * 0x4000000;\n    } else if (this.length === 3 && this.words[2] === 0x01) {\n      // NOTE: at this stage it is known that the top bit is set\n      ret += 0x10000000000000 + (this.words[1] * 0x4000000);\n    } else if (this.length > 2) {\n      assert(false, 'Number can only safely store up to 53 bits');\n    }\n    return (this.negative !== 0) ? -ret : ret;\n  };\n\n  BN.prototype.toJSON = function toJSON () {\n    return this.toString(16, 2);\n  };\n\n  if (Buffer) {\n    BN.prototype.toBuffer = function toBuffer (endian, length) {\n      return this.toArrayLike(Buffer, endian, length);\n    };\n  }\n\n  BN.prototype.toArray = function toArray (endian, length) {\n    return this.toArrayLike(Array, endian, length);\n  };\n\n  var allocate = function allocate (ArrayType, size) {\n    if (ArrayType.allocUnsafe) {\n      return ArrayType.allocUnsafe(size);\n    }\n    return new ArrayType(size);\n  };\n\n  BN.prototype.toArrayLike = function toArrayLike (ArrayType, endian, length) {\n    this._strip();\n\n    var byteLength = this.byteLength();\n    var reqLength = length || Math.max(1, byteLength);\n    assert(byteLength <= reqLength, 'byte array longer than desired length');\n    assert(reqLength > 0, 'Requested array length <= 0');\n\n    var res = allocate(ArrayType, reqLength);\n    var postfix = endian === 'le' ? 'LE' : 'BE';\n    this['_toArrayLike' + postfix](res, byteLength);\n    return res;\n  };\n\n  BN.prototype._toArrayLikeLE = function _toArrayLikeLE (res, byteLength) {\n    var position = 0;\n    var carry = 0;\n\n    for (var i = 0, shift = 0; i < this.length; i++) {\n      var word = (this.words[i] << shift) | carry;\n\n      res[position++] = word & 0xff;\n      if (position < res.length) {\n        res[position++] = (word >> 8) & 0xff;\n      }\n      if (position < res.length) {\n        res[position++] = (word >> 16) & 0xff;\n      }\n\n      if (shift === 6) {\n        if (position < res.length) {\n          res[position++] = (word >> 24) & 0xff;\n        }\n        carry = 0;\n        shift = 0;\n      } else {\n        carry = word >>> 24;\n        shift += 2;\n      }\n    }\n\n    if (position < res.length) {\n      res[position++] = carry;\n\n      while (position < res.length) {\n        res[position++] = 0;\n      }\n    }\n  };\n\n  BN.prototype._toArrayLikeBE = function _toArrayLikeBE (res, byteLength) {\n    var position = res.length - 1;\n    var carry = 0;\n\n    for (var i = 0, shift = 0; i < this.length; i++) {\n      var word = (this.words[i] << shift) | carry;\n\n      res[position--] = word & 0xff;\n      if (position >= 0) {\n        res[position--] = (word >> 8) & 0xff;\n      }\n      if (position >= 0) {\n        res[position--] = (word >> 16) & 0xff;\n      }\n\n      if (shift === 6) {\n        if (position >= 0) {\n          res[position--] = (word >> 24) & 0xff;\n        }\n        carry = 0;\n        shift = 0;\n      } else {\n        carry = word >>> 24;\n        shift += 2;\n      }\n    }\n\n    if (position >= 0) {\n      res[position--] = carry;\n\n      while (position >= 0) {\n        res[position--] = 0;\n      }\n    }\n  };\n\n  if (Math.clz32) {\n    BN.prototype._countBits = function _countBits (w) {\n      return 32 - Math.clz32(w);\n    };\n  } else {\n    BN.prototype._countBits = function _countBits (w) {\n      var t = w;\n      var r = 0;\n      if (t >= 0x1000) {\n        r += 13;\n        t >>>= 13;\n      }\n      if (t >= 0x40) {\n        r += 7;\n        t >>>= 7;\n      }\n      if (t >= 0x8) {\n        r += 4;\n        t >>>= 4;\n      }\n      if (t >= 0x02) {\n        r += 2;\n        t >>>= 2;\n      }\n      return r + t;\n    };\n  }\n\n  BN.prototype._zeroBits = function _zeroBits (w) {\n    // Short-cut\n    if (w === 0) return 26;\n\n    var t = w;\n    var r = 0;\n    if ((t & 0x1fff) === 0) {\n      r += 13;\n      t >>>= 13;\n    }\n    if ((t & 0x7f) === 0) {\n      r += 7;\n      t >>>= 7;\n    }\n    if ((t & 0xf) === 0) {\n      r += 4;\n      t >>>= 4;\n    }\n    if ((t & 0x3) === 0) {\n      r += 2;\n      t >>>= 2;\n    }\n    if ((t & 0x1) === 0) {\n      r++;\n    }\n    return r;\n  };\n\n  // Return number of used bits in a BN\n  BN.prototype.bitLength = function bitLength () {\n    var w = this.words[this.length - 1];\n    var hi = this._countBits(w);\n    return (this.length - 1) * 26 + hi;\n  };\n\n  function toBitArray (num) {\n    var w = new Array(num.bitLength());\n\n    for (var bit = 0; bit < w.length; bit++) {\n      var off = (bit / 26) | 0;\n      var wbit = bit % 26;\n\n      w[bit] = (num.words[off] >>> wbit) & 0x01;\n    }\n\n    return w;\n  }\n\n  // Number of trailing zero bits\n  BN.prototype.zeroBits = function zeroBits () {\n    if (this.isZero()) return 0;\n\n    var r = 0;\n    for (var i = 0; i < this.length; i++) {\n      var b = this._zeroBits(this.words[i]);\n      r += b;\n      if (b !== 26) break;\n    }\n    return r;\n  };\n\n  BN.prototype.byteLength = function byteLength () {\n    return Math.ceil(this.bitLength() / 8);\n  };\n\n  BN.prototype.toTwos = function toTwos (width) {\n    if (this.negative !== 0) {\n      return this.abs().inotn(width).iaddn(1);\n    }\n    return this.clone();\n  };\n\n  BN.prototype.fromTwos = function fromTwos (width) {\n    if (this.testn(width - 1)) {\n      return this.notn(width).iaddn(1).ineg();\n    }\n    return this.clone();\n  };\n\n  BN.prototype.isNeg = function isNeg () {\n    return this.negative !== 0;\n  };\n\n  // Return negative clone of `this`\n  BN.prototype.neg = function neg () {\n    return this.clone().ineg();\n  };\n\n  BN.prototype.ineg = function ineg () {\n    if (!this.isZero()) {\n      this.negative ^= 1;\n    }\n\n    return this;\n  };\n\n  // Or `num` with `this` in-place\n  BN.prototype.iuor = function iuor (num) {\n    while (this.length < num.length) {\n      this.words[this.length++] = 0;\n    }\n\n    for (var i = 0; i < num.length; i++) {\n      this.words[i] = this.words[i] | num.words[i];\n    }\n\n    return this._strip();\n  };\n\n  BN.prototype.ior = function ior (num) {\n    assert((this.negative | num.negative) === 0);\n    return this.iuor(num);\n  };\n\n  // Or `num` with `this`\n  BN.prototype.or = function or (num) {\n    if (this.length > num.length) return this.clone().ior(num);\n    return num.clone().ior(this);\n  };\n\n  BN.prototype.uor = function uor (num) {\n    if (this.length > num.length) return this.clone().iuor(num);\n    return num.clone().iuor(this);\n  };\n\n  // And `num` with `this` in-place\n  BN.prototype.iuand = function iuand (num) {\n    // b = min-length(num, this)\n    var b;\n    if (this.length > num.length) {\n      b = num;\n    } else {\n      b = this;\n    }\n\n    for (var i = 0; i < b.length; i++) {\n      this.words[i] = this.words[i] & num.words[i];\n    }\n\n    this.length = b.length;\n\n    return this._strip();\n  };\n\n  BN.prototype.iand = function iand (num) {\n    assert((this.negative | num.negative) === 0);\n    return this.iuand(num);\n  };\n\n  // And `num` with `this`\n  BN.prototype.and = function and (num) {\n    if (this.length > num.length) return this.clone().iand(num);\n    return num.clone().iand(this);\n  };\n\n  BN.prototype.uand = function uand (num) {\n    if (this.length > num.length) return this.clone().iuand(num);\n    return num.clone().iuand(this);\n  };\n\n  // Xor `num` with `this` in-place\n  BN.prototype.iuxor = function iuxor (num) {\n    // a.length > b.length\n    var a;\n    var b;\n    if (this.length > num.length) {\n      a = this;\n      b = num;\n    } else {\n      a = num;\n      b = this;\n    }\n\n    for (var i = 0; i < b.length; i++) {\n      this.words[i] = a.words[i] ^ b.words[i];\n    }\n\n    if (this !== a) {\n      for (; i < a.length; i++) {\n        this.words[i] = a.words[i];\n      }\n    }\n\n    this.length = a.length;\n\n    return this._strip();\n  };\n\n  BN.prototype.ixor = function ixor (num) {\n    assert((this.negative | num.negative) === 0);\n    return this.iuxor(num);\n  };\n\n  // Xor `num` with `this`\n  BN.prototype.xor = function xor (num) {\n    if (this.length > num.length) return this.clone().ixor(num);\n    return num.clone().ixor(this);\n  };\n\n  BN.prototype.uxor = function uxor (num) {\n    if (this.length > num.length) return this.clone().iuxor(num);\n    return num.clone().iuxor(this);\n  };\n\n  // Not ``this`` with ``width`` bitwidth\n  BN.prototype.inotn = function inotn (width) {\n    assert(typeof width === 'number' && width >= 0);\n\n    var bytesNeeded = Math.ceil(width / 26) | 0;\n    var bitsLeft = width % 26;\n\n    // Extend the buffer with leading zeroes\n    this._expand(bytesNeeded);\n\n    if (bitsLeft > 0) {\n      bytesNeeded--;\n    }\n\n    // Handle complete words\n    for (var i = 0; i < bytesNeeded; i++) {\n      this.words[i] = ~this.words[i] & 0x3ffffff;\n    }\n\n    // Handle the residue\n    if (bitsLeft > 0) {\n      this.words[i] = ~this.words[i] & (0x3ffffff >> (26 - bitsLeft));\n    }\n\n    // And remove leading zeroes\n    return this._strip();\n  };\n\n  BN.prototype.notn = function notn (width) {\n    return this.clone().inotn(width);\n  };\n\n  // Set `bit` of `this`\n  BN.prototype.setn = function setn (bit, val) {\n    assert(typeof bit === 'number' && bit >= 0);\n\n    var off = (bit / 26) | 0;\n    var wbit = bit % 26;\n\n    this._expand(off + 1);\n\n    if (val) {\n      this.words[off] = this.words[off] | (1 << wbit);\n    } else {\n      this.words[off] = this.words[off] & ~(1 << wbit);\n    }\n\n    return this._strip();\n  };\n\n  // Add `num` to `this` in-place\n  BN.prototype.iadd = function iadd (num) {\n    var r;\n\n    // negative + positive\n    if (this.negative !== 0 && num.negative === 0) {\n      this.negative = 0;\n      r = this.isub(num);\n      this.negative ^= 1;\n      return this._normSign();\n\n    // positive + negative\n    } else if (this.negative === 0 && num.negative !== 0) {\n      num.negative = 0;\n      r = this.isub(num);\n      num.negative = 1;\n      return r._normSign();\n    }\n\n    // a.length > b.length\n    var a, b;\n    if (this.length > num.length) {\n      a = this;\n      b = num;\n    } else {\n      a = num;\n      b = this;\n    }\n\n    var carry = 0;\n    for (var i = 0; i < b.length; i++) {\n      r = (a.words[i] | 0) + (b.words[i] | 0) + carry;\n      this.words[i] = r & 0x3ffffff;\n      carry = r >>> 26;\n    }\n    for (; carry !== 0 && i < a.length; i++) {\n      r = (a.words[i] | 0) + carry;\n      this.words[i] = r & 0x3ffffff;\n      carry = r >>> 26;\n    }\n\n    this.length = a.length;\n    if (carry !== 0) {\n      this.words[this.length] = carry;\n      this.length++;\n    // Copy the rest of the words\n    } else if (a !== this) {\n      for (; i < a.length; i++) {\n        this.words[i] = a.words[i];\n      }\n    }\n\n    return this;\n  };\n\n  // Add `num` to `this`\n  BN.prototype.add = function add (num) {\n    var res;\n    if (num.negative !== 0 && this.negative === 0) {\n      num.negative = 0;\n      res = this.sub(num);\n      num.negative ^= 1;\n      return res;\n    } else if (num.negative === 0 && this.negative !== 0) {\n      this.negative = 0;\n      res = num.sub(this);\n      this.negative = 1;\n      return res;\n    }\n\n    if (this.length > num.length) return this.clone().iadd(num);\n\n    return num.clone().iadd(this);\n  };\n\n  // Subtract `num` from `this` in-place\n  BN.prototype.isub = function isub (num) {\n    // this - (-num) = this + num\n    if (num.negative !== 0) {\n      num.negative = 0;\n      var r = this.iadd(num);\n      num.negative = 1;\n      return r._normSign();\n\n    // -this - num = -(this + num)\n    } else if (this.negative !== 0) {\n      this.negative = 0;\n      this.iadd(num);\n      this.negative = 1;\n      return this._normSign();\n    }\n\n    // At this point both numbers are positive\n    var cmp = this.cmp(num);\n\n    // Optimization - zeroify\n    if (cmp === 0) {\n      this.negative = 0;\n      this.length = 1;\n      this.words[0] = 0;\n      return this;\n    }\n\n    // a > b\n    var a, b;\n    if (cmp > 0) {\n      a = this;\n      b = num;\n    } else {\n      a = num;\n      b = this;\n    }\n\n    var carry = 0;\n    for (var i = 0; i < b.length; i++) {\n      r = (a.words[i] | 0) - (b.words[i] | 0) + carry;\n      carry = r >> 26;\n      this.words[i] = r & 0x3ffffff;\n    }\n    for (; carry !== 0 && i < a.length; i++) {\n      r = (a.words[i] | 0) + carry;\n      carry = r >> 26;\n      this.words[i] = r & 0x3ffffff;\n    }\n\n    // Copy rest of the words\n    if (carry === 0 && i < a.length && a !== this) {\n      for (; i < a.length; i++) {\n        this.words[i] = a.words[i];\n      }\n    }\n\n    this.length = Math.max(this.length, i);\n\n    if (a !== this) {\n      this.negative = 1;\n    }\n\n    return this._strip();\n  };\n\n  // Subtract `num` from `this`\n  BN.prototype.sub = function sub (num) {\n    return this.clone().isub(num);\n  };\n\n  function smallMulTo (self, num, out) {\n    out.negative = num.negative ^ self.negative;\n    var len = (self.length + num.length) | 0;\n    out.length = len;\n    len = (len - 1) | 0;\n\n    // Peel one iteration (compiler can't do it, because of code complexity)\n    var a = self.words[0] | 0;\n    var b = num.words[0] | 0;\n    var r = a * b;\n\n    var lo = r & 0x3ffffff;\n    var carry = (r / 0x4000000) | 0;\n    out.words[0] = lo;\n\n    for (var k = 1; k < len; k++) {\n      // Sum all words with the same `i + j = k` and accumulate `ncarry`,\n      // note that ncarry could be >= 0x3ffffff\n      var ncarry = carry >>> 26;\n      var rword = carry & 0x3ffffff;\n      var maxJ = Math.min(k, num.length - 1);\n      for (var j = Math.max(0, k - self.length + 1); j <= maxJ; j++) {\n        var i = (k - j) | 0;\n        a = self.words[i] | 0;\n        b = num.words[j] | 0;\n        r = a * b + rword;\n        ncarry += (r / 0x4000000) | 0;\n        rword = r & 0x3ffffff;\n      }\n      out.words[k] = rword | 0;\n      carry = ncarry | 0;\n    }\n    if (carry !== 0) {\n      out.words[k] = carry | 0;\n    } else {\n      out.length--;\n    }\n\n    return out._strip();\n  }\n\n  // TODO(indutny): it may be reasonable to omit it for users who don't need\n  // to work with 256-bit numbers, otherwise it gives 20% improvement for 256-bit\n  // multiplication (like elliptic secp256k1).\n  var comb10MulTo = function comb10MulTo (self, num, out) {\n    var a = self.words;\n    var b = num.words;\n    var o = out.words;\n    var c = 0;\n    var lo;\n    var mid;\n    var hi;\n    var a0 = a[0] | 0;\n    var al0 = a0 & 0x1fff;\n    var ah0 = a0 >>> 13;\n    var a1 = a[1] | 0;\n    var al1 = a1 & 0x1fff;\n    var ah1 = a1 >>> 13;\n    var a2 = a[2] | 0;\n    var al2 = a2 & 0x1fff;\n    var ah2 = a2 >>> 13;\n    var a3 = a[3] | 0;\n    var al3 = a3 & 0x1fff;\n    var ah3 = a3 >>> 13;\n    var a4 = a[4] | 0;\n    var al4 = a4 & 0x1fff;\n    var ah4 = a4 >>> 13;\n    var a5 = a[5] | 0;\n    var al5 = a5 & 0x1fff;\n    var ah5 = a5 >>> 13;\n    var a6 = a[6] | 0;\n    var al6 = a6 & 0x1fff;\n    var ah6 = a6 >>> 13;\n    var a7 = a[7] | 0;\n    var al7 = a7 & 0x1fff;\n    var ah7 = a7 >>> 13;\n    var a8 = a[8] | 0;\n    var al8 = a8 & 0x1fff;\n    var ah8 = a8 >>> 13;\n    var a9 = a[9] | 0;\n    var al9 = a9 & 0x1fff;\n    var ah9 = a9 >>> 13;\n    var b0 = b[0] | 0;\n    var bl0 = b0 & 0x1fff;\n    var bh0 = b0 >>> 13;\n    var b1 = b[1] | 0;\n    var bl1 = b1 & 0x1fff;\n    var bh1 = b1 >>> 13;\n    var b2 = b[2] | 0;\n    var bl2 = b2 & 0x1fff;\n    var bh2 = b2 >>> 13;\n    var b3 = b[3] | 0;\n    var bl3 = b3 & 0x1fff;\n    var bh3 = b3 >>> 13;\n    var b4 = b[4] | 0;\n    var bl4 = b4 & 0x1fff;\n    var bh4 = b4 >>> 13;\n    var b5 = b[5] | 0;\n    var bl5 = b5 & 0x1fff;\n    var bh5 = b5 >>> 13;\n    var b6 = b[6] | 0;\n    var bl6 = b6 & 0x1fff;\n    var bh6 = b6 >>> 13;\n    var b7 = b[7] | 0;\n    var bl7 = b7 & 0x1fff;\n    var bh7 = b7 >>> 13;\n    var b8 = b[8] | 0;\n    var bl8 = b8 & 0x1fff;\n    var bh8 = b8 >>> 13;\n    var b9 = b[9] | 0;\n    var bl9 = b9 & 0x1fff;\n    var bh9 = b9 >>> 13;\n\n    out.negative = self.negative ^ num.negative;\n    out.length = 19;\n    /* k = 0 */\n    lo = Math.imul(al0, bl0);\n    mid = Math.imul(al0, bh0);\n    mid = (mid + Math.imul(ah0, bl0)) | 0;\n    hi = Math.imul(ah0, bh0);\n    var w0 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w0 >>> 26)) | 0;\n    w0 &= 0x3ffffff;\n    /* k = 1 */\n    lo = Math.imul(al1, bl0);\n    mid = Math.imul(al1, bh0);\n    mid = (mid + Math.imul(ah1, bl0)) | 0;\n    hi = Math.imul(ah1, bh0);\n    lo = (lo + Math.imul(al0, bl1)) | 0;\n    mid = (mid + Math.imul(al0, bh1)) | 0;\n    mid = (mid + Math.imul(ah0, bl1)) | 0;\n    hi = (hi + Math.imul(ah0, bh1)) | 0;\n    var w1 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w1 >>> 26)) | 0;\n    w1 &= 0x3ffffff;\n    /* k = 2 */\n    lo = Math.imul(al2, bl0);\n    mid = Math.imul(al2, bh0);\n    mid = (mid + Math.imul(ah2, bl0)) | 0;\n    hi = Math.imul(ah2, bh0);\n    lo = (lo + Math.imul(al1, bl1)) | 0;\n    mid = (mid + Math.imul(al1, bh1)) | 0;\n    mid = (mid + Math.imul(ah1, bl1)) | 0;\n    hi = (hi + Math.imul(ah1, bh1)) | 0;\n    lo = (lo + Math.imul(al0, bl2)) | 0;\n    mid = (mid + Math.imul(al0, bh2)) | 0;\n    mid = (mid + Math.imul(ah0, bl2)) | 0;\n    hi = (hi + Math.imul(ah0, bh2)) | 0;\n    var w2 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w2 >>> 26)) | 0;\n    w2 &= 0x3ffffff;\n    /* k = 3 */\n    lo = Math.imul(al3, bl0);\n    mid = Math.imul(al3, bh0);\n    mid = (mid + Math.imul(ah3, bl0)) | 0;\n    hi = Math.imul(ah3, bh0);\n    lo = (lo + Math.imul(al2, bl1)) | 0;\n    mid = (mid + Math.imul(al2, bh1)) | 0;\n    mid = (mid + Math.imul(ah2, bl1)) | 0;\n    hi = (hi + Math.imul(ah2, bh1)) | 0;\n    lo = (lo + Math.imul(al1, bl2)) | 0;\n    mid = (mid + Math.imul(al1, bh2)) | 0;\n    mid = (mid + Math.imul(ah1, bl2)) | 0;\n    hi = (hi + Math.imul(ah1, bh2)) | 0;\n    lo = (lo + Math.imul(al0, bl3)) | 0;\n    mid = (mid + Math.imul(al0, bh3)) | 0;\n    mid = (mid + Math.imul(ah0, bl3)) | 0;\n    hi = (hi + Math.imul(ah0, bh3)) | 0;\n    var w3 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w3 >>> 26)) | 0;\n    w3 &= 0x3ffffff;\n    /* k = 4 */\n    lo = Math.imul(al4, bl0);\n    mid = Math.imul(al4, bh0);\n    mid = (mid + Math.imul(ah4, bl0)) | 0;\n    hi = Math.imul(ah4, bh0);\n    lo = (lo + Math.imul(al3, bl1)) | 0;\n    mid = (mid + Math.imul(al3, bh1)) | 0;\n    mid = (mid + Math.imul(ah3, bl1)) | 0;\n    hi = (hi + Math.imul(ah3, bh1)) | 0;\n    lo = (lo + Math.imul(al2, bl2)) | 0;\n    mid = (mid + Math.imul(al2, bh2)) | 0;\n    mid = (mid + Math.imul(ah2, bl2)) | 0;\n    hi = (hi + Math.imul(ah2, bh2)) | 0;\n    lo = (lo + Math.imul(al1, bl3)) | 0;\n    mid = (mid + Math.imul(al1, bh3)) | 0;\n    mid = (mid + Math.imul(ah1, bl3)) | 0;\n    hi = (hi + Math.imul(ah1, bh3)) | 0;\n    lo = (lo + Math.imul(al0, bl4)) | 0;\n    mid = (mid + Math.imul(al0, bh4)) | 0;\n    mid = (mid + Math.imul(ah0, bl4)) | 0;\n    hi = (hi + Math.imul(ah0, bh4)) | 0;\n    var w4 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w4 >>> 26)) | 0;\n    w4 &= 0x3ffffff;\n    /* k = 5 */\n    lo = Math.imul(al5, bl0);\n    mid = Math.imul(al5, bh0);\n    mid = (mid + Math.imul(ah5, bl0)) | 0;\n    hi = Math.imul(ah5, bh0);\n    lo = (lo + Math.imul(al4, bl1)) | 0;\n    mid = (mid + Math.imul(al4, bh1)) | 0;\n    mid = (mid + Math.imul(ah4, bl1)) | 0;\n    hi = (hi + Math.imul(ah4, bh1)) | 0;\n    lo = (lo + Math.imul(al3, bl2)) | 0;\n    mid = (mid + Math.imul(al3, bh2)) | 0;\n    mid = (mid + Math.imul(ah3, bl2)) | 0;\n    hi = (hi + Math.imul(ah3, bh2)) | 0;\n    lo = (lo + Math.imul(al2, bl3)) | 0;\n    mid = (mid + Math.imul(al2, bh3)) | 0;\n    mid = (mid + Math.imul(ah2, bl3)) | 0;\n    hi = (hi + Math.imul(ah2, bh3)) | 0;\n    lo = (lo + Math.imul(al1, bl4)) | 0;\n    mid = (mid + Math.imul(al1, bh4)) | 0;\n    mid = (mid + Math.imul(ah1, bl4)) | 0;\n    hi = (hi + Math.imul(ah1, bh4)) | 0;\n    lo = (lo + Math.imul(al0, bl5)) | 0;\n    mid = (mid + Math.imul(al0, bh5)) | 0;\n    mid = (mid + Math.imul(ah0, bl5)) | 0;\n    hi = (hi + Math.imul(ah0, bh5)) | 0;\n    var w5 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w5 >>> 26)) | 0;\n    w5 &= 0x3ffffff;\n    /* k = 6 */\n    lo = Math.imul(al6, bl0);\n    mid = Math.imul(al6, bh0);\n    mid = (mid + Math.imul(ah6, bl0)) | 0;\n    hi = Math.imul(ah6, bh0);\n    lo = (lo + Math.imul(al5, bl1)) | 0;\n    mid = (mid + Math.imul(al5, bh1)) | 0;\n    mid = (mid + Math.imul(ah5, bl1)) | 0;\n    hi = (hi + Math.imul(ah5, bh1)) | 0;\n    lo = (lo + Math.imul(al4, bl2)) | 0;\n    mid = (mid + Math.imul(al4, bh2)) | 0;\n    mid = (mid + Math.imul(ah4, bl2)) | 0;\n    hi = (hi + Math.imul(ah4, bh2)) | 0;\n    lo = (lo + Math.imul(al3, bl3)) | 0;\n    mid = (mid + Math.imul(al3, bh3)) | 0;\n    mid = (mid + Math.imul(ah3, bl3)) | 0;\n    hi = (hi + Math.imul(ah3, bh3)) | 0;\n    lo = (lo + Math.imul(al2, bl4)) | 0;\n    mid = (mid + Math.imul(al2, bh4)) | 0;\n    mid = (mid + Math.imul(ah2, bl4)) | 0;\n    hi = (hi + Math.imul(ah2, bh4)) | 0;\n    lo = (lo + Math.imul(al1, bl5)) | 0;\n    mid = (mid + Math.imul(al1, bh5)) | 0;\n    mid = (mid + Math.imul(ah1, bl5)) | 0;\n    hi = (hi + Math.imul(ah1, bh5)) | 0;\n    lo = (lo + Math.imul(al0, bl6)) | 0;\n    mid = (mid + Math.imul(al0, bh6)) | 0;\n    mid = (mid + Math.imul(ah0, bl6)) | 0;\n    hi = (hi + Math.imul(ah0, bh6)) | 0;\n    var w6 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w6 >>> 26)) | 0;\n    w6 &= 0x3ffffff;\n    /* k = 7 */\n    lo = Math.imul(al7, bl0);\n    mid = Math.imul(al7, bh0);\n    mid = (mid + Math.imul(ah7, bl0)) | 0;\n    hi = Math.imul(ah7, bh0);\n    lo = (lo + Math.imul(al6, bl1)) | 0;\n    mid = (mid + Math.imul(al6, bh1)) | 0;\n    mid = (mid + Math.imul(ah6, bl1)) | 0;\n    hi = (hi + Math.imul(ah6, bh1)) | 0;\n    lo = (lo + Math.imul(al5, bl2)) | 0;\n    mid = (mid + Math.imul(al5, bh2)) | 0;\n    mid = (mid + Math.imul(ah5, bl2)) | 0;\n    hi = (hi + Math.imul(ah5, bh2)) | 0;\n    lo = (lo + Math.imul(al4, bl3)) | 0;\n    mid = (mid + Math.imul(al4, bh3)) | 0;\n    mid = (mid + Math.imul(ah4, bl3)) | 0;\n    hi = (hi + Math.imul(ah4, bh3)) | 0;\n    lo = (lo + Math.imul(al3, bl4)) | 0;\n    mid = (mid + Math.imul(al3, bh4)) | 0;\n    mid = (mid + Math.imul(ah3, bl4)) | 0;\n    hi = (hi + Math.imul(ah3, bh4)) | 0;\n    lo = (lo + Math.imul(al2, bl5)) | 0;\n    mid = (mid + Math.imul(al2, bh5)) | 0;\n    mid = (mid + Math.imul(ah2, bl5)) | 0;\n    hi = (hi + Math.imul(ah2, bh5)) | 0;\n    lo = (lo + Math.imul(al1, bl6)) | 0;\n    mid = (mid + Math.imul(al1, bh6)) | 0;\n    mid = (mid + Math.imul(ah1, bl6)) | 0;\n    hi = (hi + Math.imul(ah1, bh6)) | 0;\n    lo = (lo + Math.imul(al0, bl7)) | 0;\n    mid = (mid + Math.imul(al0, bh7)) | 0;\n    mid = (mid + Math.imul(ah0, bl7)) | 0;\n    hi = (hi + Math.imul(ah0, bh7)) | 0;\n    var w7 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w7 >>> 26)) | 0;\n    w7 &= 0x3ffffff;\n    /* k = 8 */\n    lo = Math.imul(al8, bl0);\n    mid = Math.imul(al8, bh0);\n    mid = (mid + Math.imul(ah8, bl0)) | 0;\n    hi = Math.imul(ah8, bh0);\n    lo = (lo + Math.imul(al7, bl1)) | 0;\n    mid = (mid + Math.imul(al7, bh1)) | 0;\n    mid = (mid + Math.imul(ah7, bl1)) | 0;\n    hi = (hi + Math.imul(ah7, bh1)) | 0;\n    lo = (lo + Math.imul(al6, bl2)) | 0;\n    mid = (mid + Math.imul(al6, bh2)) | 0;\n    mid = (mid + Math.imul(ah6, bl2)) | 0;\n    hi = (hi + Math.imul(ah6, bh2)) | 0;\n    lo = (lo + Math.imul(al5, bl3)) | 0;\n    mid = (mid + Math.imul(al5, bh3)) | 0;\n    mid = (mid + Math.imul(ah5, bl3)) | 0;\n    hi = (hi + Math.imul(ah5, bh3)) | 0;\n    lo = (lo + Math.imul(al4, bl4)) | 0;\n    mid = (mid + Math.imul(al4, bh4)) | 0;\n    mid = (mid + Math.imul(ah4, bl4)) | 0;\n    hi = (hi + Math.imul(ah4, bh4)) | 0;\n    lo = (lo + Math.imul(al3, bl5)) | 0;\n    mid = (mid + Math.imul(al3, bh5)) | 0;\n    mid = (mid + Math.imul(ah3, bl5)) | 0;\n    hi = (hi + Math.imul(ah3, bh5)) | 0;\n    lo = (lo + Math.imul(al2, bl6)) | 0;\n    mid = (mid + Math.imul(al2, bh6)) | 0;\n    mid = (mid + Math.imul(ah2, bl6)) | 0;\n    hi = (hi + Math.imul(ah2, bh6)) | 0;\n    lo = (lo + Math.imul(al1, bl7)) | 0;\n    mid = (mid + Math.imul(al1, bh7)) | 0;\n    mid = (mid + Math.imul(ah1, bl7)) | 0;\n    hi = (hi + Math.imul(ah1, bh7)) | 0;\n    lo = (lo + Math.imul(al0, bl8)) | 0;\n    mid = (mid + Math.imul(al0, bh8)) | 0;\n    mid = (mid + Math.imul(ah0, bl8)) | 0;\n    hi = (hi + Math.imul(ah0, bh8)) | 0;\n    var w8 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w8 >>> 26)) | 0;\n    w8 &= 0x3ffffff;\n    /* k = 9 */\n    lo = Math.imul(al9, bl0);\n    mid = Math.imul(al9, bh0);\n    mid = (mid + Math.imul(ah9, bl0)) | 0;\n    hi = Math.imul(ah9, bh0);\n    lo = (lo + Math.imul(al8, bl1)) | 0;\n    mid = (mid + Math.imul(al8, bh1)) | 0;\n    mid = (mid + Math.imul(ah8, bl1)) | 0;\n    hi = (hi + Math.imul(ah8, bh1)) | 0;\n    lo = (lo + Math.imul(al7, bl2)) | 0;\n    mid = (mid + Math.imul(al7, bh2)) | 0;\n    mid = (mid + Math.imul(ah7, bl2)) | 0;\n    hi = (hi + Math.imul(ah7, bh2)) | 0;\n    lo = (lo + Math.imul(al6, bl3)) | 0;\n    mid = (mid + Math.imul(al6, bh3)) | 0;\n    mid = (mid + Math.imul(ah6, bl3)) | 0;\n    hi = (hi + Math.imul(ah6, bh3)) | 0;\n    lo = (lo + Math.imul(al5, bl4)) | 0;\n    mid = (mid + Math.imul(al5, bh4)) | 0;\n    mid = (mid + Math.imul(ah5, bl4)) | 0;\n    hi = (hi + Math.imul(ah5, bh4)) | 0;\n    lo = (lo + Math.imul(al4, bl5)) | 0;\n    mid = (mid + Math.imul(al4, bh5)) | 0;\n    mid = (mid + Math.imul(ah4, bl5)) | 0;\n    hi = (hi + Math.imul(ah4, bh5)) | 0;\n    lo = (lo + Math.imul(al3, bl6)) | 0;\n    mid = (mid + Math.imul(al3, bh6)) | 0;\n    mid = (mid + Math.imul(ah3, bl6)) | 0;\n    hi = (hi + Math.imul(ah3, bh6)) | 0;\n    lo = (lo + Math.imul(al2, bl7)) | 0;\n    mid = (mid + Math.imul(al2, bh7)) | 0;\n    mid = (mid + Math.imul(ah2, bl7)) | 0;\n    hi = (hi + Math.imul(ah2, bh7)) | 0;\n    lo = (lo + Math.imul(al1, bl8)) | 0;\n    mid = (mid + Math.imul(al1, bh8)) | 0;\n    mid = (mid + Math.imul(ah1, bl8)) | 0;\n    hi = (hi + Math.imul(ah1, bh8)) | 0;\n    lo = (lo + Math.imul(al0, bl9)) | 0;\n    mid = (mid + Math.imul(al0, bh9)) | 0;\n    mid = (mid + Math.imul(ah0, bl9)) | 0;\n    hi = (hi + Math.imul(ah0, bh9)) | 0;\n    var w9 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w9 >>> 26)) | 0;\n    w9 &= 0x3ffffff;\n    /* k = 10 */\n    lo = Math.imul(al9, bl1);\n    mid = Math.imul(al9, bh1);\n    mid = (mid + Math.imul(ah9, bl1)) | 0;\n    hi = Math.imul(ah9, bh1);\n    lo = (lo + Math.imul(al8, bl2)) | 0;\n    mid = (mid + Math.imul(al8, bh2)) | 0;\n    mid = (mid + Math.imul(ah8, bl2)) | 0;\n    hi = (hi + Math.imul(ah8, bh2)) | 0;\n    lo = (lo + Math.imul(al7, bl3)) | 0;\n    mid = (mid + Math.imul(al7, bh3)) | 0;\n    mid = (mid + Math.imul(ah7, bl3)) | 0;\n    hi = (hi + Math.imul(ah7, bh3)) | 0;\n    lo = (lo + Math.imul(al6, bl4)) | 0;\n    mid = (mid + Math.imul(al6, bh4)) | 0;\n    mid = (mid + Math.imul(ah6, bl4)) | 0;\n    hi = (hi + Math.imul(ah6, bh4)) | 0;\n    lo = (lo + Math.imul(al5, bl5)) | 0;\n    mid = (mid + Math.imul(al5, bh5)) | 0;\n    mid = (mid + Math.imul(ah5, bl5)) | 0;\n    hi = (hi + Math.imul(ah5, bh5)) | 0;\n    lo = (lo + Math.imul(al4, bl6)) | 0;\n    mid = (mid + Math.imul(al4, bh6)) | 0;\n    mid = (mid + Math.imul(ah4, bl6)) | 0;\n    hi = (hi + Math.imul(ah4, bh6)) | 0;\n    lo = (lo + Math.imul(al3, bl7)) | 0;\n    mid = (mid + Math.imul(al3, bh7)) | 0;\n    mid = (mid + Math.imul(ah3, bl7)) | 0;\n    hi = (hi + Math.imul(ah3, bh7)) | 0;\n    lo = (lo + Math.imul(al2, bl8)) | 0;\n    mid = (mid + Math.imul(al2, bh8)) | 0;\n    mid = (mid + Math.imul(ah2, bl8)) | 0;\n    hi = (hi + Math.imul(ah2, bh8)) | 0;\n    lo = (lo + Math.imul(al1, bl9)) | 0;\n    mid = (mid + Math.imul(al1, bh9)) | 0;\n    mid = (mid + Math.imul(ah1, bl9)) | 0;\n    hi = (hi + Math.imul(ah1, bh9)) | 0;\n    var w10 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w10 >>> 26)) | 0;\n    w10 &= 0x3ffffff;\n    /* k = 11 */\n    lo = Math.imul(al9, bl2);\n    mid = Math.imul(al9, bh2);\n    mid = (mid + Math.imul(ah9, bl2)) | 0;\n    hi = Math.imul(ah9, bh2);\n    lo = (lo + Math.imul(al8, bl3)) | 0;\n    mid = (mid + Math.imul(al8, bh3)) | 0;\n    mid = (mid + Math.imul(ah8, bl3)) | 0;\n    hi = (hi + Math.imul(ah8, bh3)) | 0;\n    lo = (lo + Math.imul(al7, bl4)) | 0;\n    mid = (mid + Math.imul(al7, bh4)) | 0;\n    mid = (mid + Math.imul(ah7, bl4)) | 0;\n    hi = (hi + Math.imul(ah7, bh4)) | 0;\n    lo = (lo + Math.imul(al6, bl5)) | 0;\n    mid = (mid + Math.imul(al6, bh5)) | 0;\n    mid = (mid + Math.imul(ah6, bl5)) | 0;\n    hi = (hi + Math.imul(ah6, bh5)) | 0;\n    lo = (lo + Math.imul(al5, bl6)) | 0;\n    mid = (mid + Math.imul(al5, bh6)) | 0;\n    mid = (mid + Math.imul(ah5, bl6)) | 0;\n    hi = (hi + Math.imul(ah5, bh6)) | 0;\n    lo = (lo + Math.imul(al4, bl7)) | 0;\n    mid = (mid + Math.imul(al4, bh7)) | 0;\n    mid = (mid + Math.imul(ah4, bl7)) | 0;\n    hi = (hi + Math.imul(ah4, bh7)) | 0;\n    lo = (lo + Math.imul(al3, bl8)) | 0;\n    mid = (mid + Math.imul(al3, bh8)) | 0;\n    mid = (mid + Math.imul(ah3, bl8)) | 0;\n    hi = (hi + Math.imul(ah3, bh8)) | 0;\n    lo = (lo + Math.imul(al2, bl9)) | 0;\n    mid = (mid + Math.imul(al2, bh9)) | 0;\n    mid = (mid + Math.imul(ah2, bl9)) | 0;\n    hi = (hi + Math.imul(ah2, bh9)) | 0;\n    var w11 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w11 >>> 26)) | 0;\n    w11 &= 0x3ffffff;\n    /* k = 12 */\n    lo = Math.imul(al9, bl3);\n    mid = Math.imul(al9, bh3);\n    mid = (mid + Math.imul(ah9, bl3)) | 0;\n    hi = Math.imul(ah9, bh3);\n    lo = (lo + Math.imul(al8, bl4)) | 0;\n    mid = (mid + Math.imul(al8, bh4)) | 0;\n    mid = (mid + Math.imul(ah8, bl4)) | 0;\n    hi = (hi + Math.imul(ah8, bh4)) | 0;\n    lo = (lo + Math.imul(al7, bl5)) | 0;\n    mid = (mid + Math.imul(al7, bh5)) | 0;\n    mid = (mid + Math.imul(ah7, bl5)) | 0;\n    hi = (hi + Math.imul(ah7, bh5)) | 0;\n    lo = (lo + Math.imul(al6, bl6)) | 0;\n    mid = (mid + Math.imul(al6, bh6)) | 0;\n    mid = (mid + Math.imul(ah6, bl6)) | 0;\n    hi = (hi + Math.imul(ah6, bh6)) | 0;\n    lo = (lo + Math.imul(al5, bl7)) | 0;\n    mid = (mid + Math.imul(al5, bh7)) | 0;\n    mid = (mid + Math.imul(ah5, bl7)) | 0;\n    hi = (hi + Math.imul(ah5, bh7)) | 0;\n    lo = (lo + Math.imul(al4, bl8)) | 0;\n    mid = (mid + Math.imul(al4, bh8)) | 0;\n    mid = (mid + Math.imul(ah4, bl8)) | 0;\n    hi = (hi + Math.imul(ah4, bh8)) | 0;\n    lo = (lo + Math.imul(al3, bl9)) | 0;\n    mid = (mid + Math.imul(al3, bh9)) | 0;\n    mid = (mid + Math.imul(ah3, bl9)) | 0;\n    hi = (hi + Math.imul(ah3, bh9)) | 0;\n    var w12 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w12 >>> 26)) | 0;\n    w12 &= 0x3ffffff;\n    /* k = 13 */\n    lo = Math.imul(al9, bl4);\n    mid = Math.imul(al9, bh4);\n    mid = (mid + Math.imul(ah9, bl4)) | 0;\n    hi = Math.imul(ah9, bh4);\n    lo = (lo + Math.imul(al8, bl5)) | 0;\n    mid = (mid + Math.imul(al8, bh5)) | 0;\n    mid = (mid + Math.imul(ah8, bl5)) | 0;\n    hi = (hi + Math.imul(ah8, bh5)) | 0;\n    lo = (lo + Math.imul(al7, bl6)) | 0;\n    mid = (mid + Math.imul(al7, bh6)) | 0;\n    mid = (mid + Math.imul(ah7, bl6)) | 0;\n    hi = (hi + Math.imul(ah7, bh6)) | 0;\n    lo = (lo + Math.imul(al6, bl7)) | 0;\n    mid = (mid + Math.imul(al6, bh7)) | 0;\n    mid = (mid + Math.imul(ah6, bl7)) | 0;\n    hi = (hi + Math.imul(ah6, bh7)) | 0;\n    lo = (lo + Math.imul(al5, bl8)) | 0;\n    mid = (mid + Math.imul(al5, bh8)) | 0;\n    mid = (mid + Math.imul(ah5, bl8)) | 0;\n    hi = (hi + Math.imul(ah5, bh8)) | 0;\n    lo = (lo + Math.imul(al4, bl9)) | 0;\n    mid = (mid + Math.imul(al4, bh9)) | 0;\n    mid = (mid + Math.imul(ah4, bl9)) | 0;\n    hi = (hi + Math.imul(ah4, bh9)) | 0;\n    var w13 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w13 >>> 26)) | 0;\n    w13 &= 0x3ffffff;\n    /* k = 14 */\n    lo = Math.imul(al9, bl5);\n    mid = Math.imul(al9, bh5);\n    mid = (mid + Math.imul(ah9, bl5)) | 0;\n    hi = Math.imul(ah9, bh5);\n    lo = (lo + Math.imul(al8, bl6)) | 0;\n    mid = (mid + Math.imul(al8, bh6)) | 0;\n    mid = (mid + Math.imul(ah8, bl6)) | 0;\n    hi = (hi + Math.imul(ah8, bh6)) | 0;\n    lo = (lo + Math.imul(al7, bl7)) | 0;\n    mid = (mid + Math.imul(al7, bh7)) | 0;\n    mid = (mid + Math.imul(ah7, bl7)) | 0;\n    hi = (hi + Math.imul(ah7, bh7)) | 0;\n    lo = (lo + Math.imul(al6, bl8)) | 0;\n    mid = (mid + Math.imul(al6, bh8)) | 0;\n    mid = (mid + Math.imul(ah6, bl8)) | 0;\n    hi = (hi + Math.imul(ah6, bh8)) | 0;\n    lo = (lo + Math.imul(al5, bl9)) | 0;\n    mid = (mid + Math.imul(al5, bh9)) | 0;\n    mid = (mid + Math.imul(ah5, bl9)) | 0;\n    hi = (hi + Math.imul(ah5, bh9)) | 0;\n    var w14 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w14 >>> 26)) | 0;\n    w14 &= 0x3ffffff;\n    /* k = 15 */\n    lo = Math.imul(al9, bl6);\n    mid = Math.imul(al9, bh6);\n    mid = (mid + Math.imul(ah9, bl6)) | 0;\n    hi = Math.imul(ah9, bh6);\n    lo = (lo + Math.imul(al8, bl7)) | 0;\n    mid = (mid + Math.imul(al8, bh7)) | 0;\n    mid = (mid + Math.imul(ah8, bl7)) | 0;\n    hi = (hi + Math.imul(ah8, bh7)) | 0;\n    lo = (lo + Math.imul(al7, bl8)) | 0;\n    mid = (mid + Math.imul(al7, bh8)) | 0;\n    mid = (mid + Math.imul(ah7, bl8)) | 0;\n    hi = (hi + Math.imul(ah7, bh8)) | 0;\n    lo = (lo + Math.imul(al6, bl9)) | 0;\n    mid = (mid + Math.imul(al6, bh9)) | 0;\n    mid = (mid + Math.imul(ah6, bl9)) | 0;\n    hi = (hi + Math.imul(ah6, bh9)) | 0;\n    var w15 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w15 >>> 26)) | 0;\n    w15 &= 0x3ffffff;\n    /* k = 16 */\n    lo = Math.imul(al9, bl7);\n    mid = Math.imul(al9, bh7);\n    mid = (mid + Math.imul(ah9, bl7)) | 0;\n    hi = Math.imul(ah9, bh7);\n    lo = (lo + Math.imul(al8, bl8)) | 0;\n    mid = (mid + Math.imul(al8, bh8)) | 0;\n    mid = (mid + Math.imul(ah8, bl8)) | 0;\n    hi = (hi + Math.imul(ah8, bh8)) | 0;\n    lo = (lo + Math.imul(al7, bl9)) | 0;\n    mid = (mid + Math.imul(al7, bh9)) | 0;\n    mid = (mid + Math.imul(ah7, bl9)) | 0;\n    hi = (hi + Math.imul(ah7, bh9)) | 0;\n    var w16 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w16 >>> 26)) | 0;\n    w16 &= 0x3ffffff;\n    /* k = 17 */\n    lo = Math.imul(al9, bl8);\n    mid = Math.imul(al9, bh8);\n    mid = (mid + Math.imul(ah9, bl8)) | 0;\n    hi = Math.imul(ah9, bh8);\n    lo = (lo + Math.imul(al8, bl9)) | 0;\n    mid = (mid + Math.imul(al8, bh9)) | 0;\n    mid = (mid + Math.imul(ah8, bl9)) | 0;\n    hi = (hi + Math.imul(ah8, bh9)) | 0;\n    var w17 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w17 >>> 26)) | 0;\n    w17 &= 0x3ffffff;\n    /* k = 18 */\n    lo = Math.imul(al9, bl9);\n    mid = Math.imul(al9, bh9);\n    mid = (mid + Math.imul(ah9, bl9)) | 0;\n    hi = Math.imul(ah9, bh9);\n    var w18 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w18 >>> 26)) | 0;\n    w18 &= 0x3ffffff;\n    o[0] = w0;\n    o[1] = w1;\n    o[2] = w2;\n    o[3] = w3;\n    o[4] = w4;\n    o[5] = w5;\n    o[6] = w6;\n    o[7] = w7;\n    o[8] = w8;\n    o[9] = w9;\n    o[10] = w10;\n    o[11] = w11;\n    o[12] = w12;\n    o[13] = w13;\n    o[14] = w14;\n    o[15] = w15;\n    o[16] = w16;\n    o[17] = w17;\n    o[18] = w18;\n    if (c !== 0) {\n      o[19] = c;\n      out.length++;\n    }\n    return out;\n  };\n\n  // Polyfill comb\n  if (!Math.imul) {\n    comb10MulTo = smallMulTo;\n  }\n\n  function bigMulTo (self, num, out) {\n    out.negative = num.negative ^ self.negative;\n    out.length = self.length + num.length;\n\n    var carry = 0;\n    var hncarry = 0;\n    for (var k = 0; k < out.length - 1; k++) {\n      // Sum all words with the same `i + j = k` and accumulate `ncarry`,\n      // note that ncarry could be >= 0x3ffffff\n      var ncarry = hncarry;\n      hncarry = 0;\n      var rword = carry & 0x3ffffff;\n      var maxJ = Math.min(k, num.length - 1);\n      for (var j = Math.max(0, k - self.length + 1); j <= maxJ; j++) {\n        var i = k - j;\n        var a = self.words[i] | 0;\n        var b = num.words[j] | 0;\n        var r = a * b;\n\n        var lo = r & 0x3ffffff;\n        ncarry = (ncarry + ((r / 0x4000000) | 0)) | 0;\n        lo = (lo + rword) | 0;\n        rword = lo & 0x3ffffff;\n        ncarry = (ncarry + (lo >>> 26)) | 0;\n\n        hncarry += ncarry >>> 26;\n        ncarry &= 0x3ffffff;\n      }\n      out.words[k] = rword;\n      carry = ncarry;\n      ncarry = hncarry;\n    }\n    if (carry !== 0) {\n      out.words[k] = carry;\n    } else {\n      out.length--;\n    }\n\n    return out._strip();\n  }\n\n  function jumboMulTo (self, num, out) {\n    // Temporary disable, see https://github.com/indutny/bn.js/issues/211\n    // var fftm = new FFTM();\n    // return fftm.mulp(self, num, out);\n    return bigMulTo(self, num, out);\n  }\n\n  BN.prototype.mulTo = function mulTo (num, out) {\n    var res;\n    var len = this.length + num.length;\n    if (this.length === 10 && num.length === 10) {\n      res = comb10MulTo(this, num, out);\n    } else if (len < 63) {\n      res = smallMulTo(this, num, out);\n    } else if (len < 1024) {\n      res = bigMulTo(this, num, out);\n    } else {\n      res = jumboMulTo(this, num, out);\n    }\n\n    return res;\n  };\n\n  // Cooley-Tukey algorithm for FFT\n  // slightly revisited to rely on looping instead of recursion\n\n  function FFTM (x, y) {\n    this.x = x;\n    this.y = y;\n  }\n\n  FFTM.prototype.makeRBT = function makeRBT (N) {\n    var t = new Array(N);\n    var l = BN.prototype._countBits(N) - 1;\n    for (var i = 0; i < N; i++) {\n      t[i] = this.revBin(i, l, N);\n    }\n\n    return t;\n  };\n\n  // Returns binary-reversed representation of `x`\n  FFTM.prototype.revBin = function revBin (x, l, N) {\n    if (x === 0 || x === N - 1) return x;\n\n    var rb = 0;\n    for (var i = 0; i < l; i++) {\n      rb |= (x & 1) << (l - i - 1);\n      x >>= 1;\n    }\n\n    return rb;\n  };\n\n  // Performs \"tweedling\" phase, therefore 'emulating'\n  // behaviour of the recursive algorithm\n  FFTM.prototype.permute = function permute (rbt, rws, iws, rtws, itws, N) {\n    for (var i = 0; i < N; i++) {\n      rtws[i] = rws[rbt[i]];\n      itws[i] = iws[rbt[i]];\n    }\n  };\n\n  FFTM.prototype.transform = function transform (rws, iws, rtws, itws, N, rbt) {\n    this.permute(rbt, rws, iws, rtws, itws, N);\n\n    for (var s = 1; s < N; s <<= 1) {\n      var l = s << 1;\n\n      var rtwdf = Math.cos(2 * Math.PI / l);\n      var itwdf = Math.sin(2 * Math.PI / l);\n\n      for (var p = 0; p < N; p += l) {\n        var rtwdf_ = rtwdf;\n        var itwdf_ = itwdf;\n\n        for (var j = 0; j < s; j++) {\n          var re = rtws[p + j];\n          var ie = itws[p + j];\n\n          var ro = rtws[p + j + s];\n          var io = itws[p + j + s];\n\n          var rx = rtwdf_ * ro - itwdf_ * io;\n\n          io = rtwdf_ * io + itwdf_ * ro;\n          ro = rx;\n\n          rtws[p + j] = re + ro;\n          itws[p + j] = ie + io;\n\n          rtws[p + j + s] = re - ro;\n          itws[p + j + s] = ie - io;\n\n          /* jshint maxdepth : false */\n          if (j !== l) {\n            rx = rtwdf * rtwdf_ - itwdf * itwdf_;\n\n            itwdf_ = rtwdf * itwdf_ + itwdf * rtwdf_;\n            rtwdf_ = rx;\n          }\n        }\n      }\n    }\n  };\n\n  FFTM.prototype.guessLen13b = function guessLen13b (n, m) {\n    var N = Math.max(m, n) | 1;\n    var odd = N & 1;\n    var i = 0;\n    for (N = N / 2 | 0; N; N = N >>> 1) {\n      i++;\n    }\n\n    return 1 << i + 1 + odd;\n  };\n\n  FFTM.prototype.conjugate = function conjugate (rws, iws, N) {\n    if (N <= 1) return;\n\n    for (var i = 0; i < N / 2; i++) {\n      var t = rws[i];\n\n      rws[i] = rws[N - i - 1];\n      rws[N - i - 1] = t;\n\n      t = iws[i];\n\n      iws[i] = -iws[N - i - 1];\n      iws[N - i - 1] = -t;\n    }\n  };\n\n  FFTM.prototype.normalize13b = function normalize13b (ws, N) {\n    var carry = 0;\n    for (var i = 0; i < N / 2; i++) {\n      var w = Math.round(ws[2 * i + 1] / N) * 0x2000 +\n        Math.round(ws[2 * i] / N) +\n        carry;\n\n      ws[i] = w & 0x3ffffff;\n\n      if (w < 0x4000000) {\n        carry = 0;\n      } else {\n        carry = w / 0x4000000 | 0;\n      }\n    }\n\n    return ws;\n  };\n\n  FFTM.prototype.convert13b = function convert13b (ws, len, rws, N) {\n    var carry = 0;\n    for (var i = 0; i < len; i++) {\n      carry = carry + (ws[i] | 0);\n\n      rws[2 * i] = carry & 0x1fff; carry = carry >>> 13;\n      rws[2 * i + 1] = carry & 0x1fff; carry = carry >>> 13;\n    }\n\n    // Pad with zeroes\n    for (i = 2 * len; i < N; ++i) {\n      rws[i] = 0;\n    }\n\n    assert(carry === 0);\n    assert((carry & ~0x1fff) === 0);\n  };\n\n  FFTM.prototype.stub = function stub (N) {\n    var ph = new Array(N);\n    for (var i = 0; i < N; i++) {\n      ph[i] = 0;\n    }\n\n    return ph;\n  };\n\n  FFTM.prototype.mulp = function mulp (x, y, out) {\n    var N = 2 * this.guessLen13b(x.length, y.length);\n\n    var rbt = this.makeRBT(N);\n\n    var _ = this.stub(N);\n\n    var rws = new Array(N);\n    var rwst = new Array(N);\n    var iwst = new Array(N);\n\n    var nrws = new Array(N);\n    var nrwst = new Array(N);\n    var niwst = new Array(N);\n\n    var rmws = out.words;\n    rmws.length = N;\n\n    this.convert13b(x.words, x.length, rws, N);\n    this.convert13b(y.words, y.length, nrws, N);\n\n    this.transform(rws, _, rwst, iwst, N, rbt);\n    this.transform(nrws, _, nrwst, niwst, N, rbt);\n\n    for (var i = 0; i < N; i++) {\n      var rx = rwst[i] * nrwst[i] - iwst[i] * niwst[i];\n      iwst[i] = rwst[i] * niwst[i] + iwst[i] * nrwst[i];\n      rwst[i] = rx;\n    }\n\n    this.conjugate(rwst, iwst, N);\n    this.transform(rwst, iwst, rmws, _, N, rbt);\n    this.conjugate(rmws, _, N);\n    this.normalize13b(rmws, N);\n\n    out.negative = x.negative ^ y.negative;\n    out.length = x.length + y.length;\n    return out._strip();\n  };\n\n  // Multiply `this` by `num`\n  BN.prototype.mul = function mul (num) {\n    var out = new BN(null);\n    out.words = new Array(this.length + num.length);\n    return this.mulTo(num, out);\n  };\n\n  // Multiply employing FFT\n  BN.prototype.mulf = function mulf (num) {\n    var out = new BN(null);\n    out.words = new Array(this.length + num.length);\n    return jumboMulTo(this, num, out);\n  };\n\n  // In-place Multiplication\n  BN.prototype.imul = function imul (num) {\n    return this.clone().mulTo(num, this);\n  };\n\n  BN.prototype.imuln = function imuln (num) {\n    var isNegNum = num < 0;\n    if (isNegNum) num = -num;\n\n    assert(typeof num === 'number');\n    assert(num < 0x4000000);\n\n    // Carry\n    var carry = 0;\n    for (var i = 0; i < this.length; i++) {\n      var w = (this.words[i] | 0) * num;\n      var lo = (w & 0x3ffffff) + (carry & 0x3ffffff);\n      carry >>= 26;\n      carry += (w / 0x4000000) | 0;\n      // NOTE: lo is 27bit maximum\n      carry += lo >>> 26;\n      this.words[i] = lo & 0x3ffffff;\n    }\n\n    if (carry !== 0) {\n      this.words[i] = carry;\n      this.length++;\n    }\n\n    return isNegNum ? this.ineg() : this;\n  };\n\n  BN.prototype.muln = function muln (num) {\n    return this.clone().imuln(num);\n  };\n\n  // `this` * `this`\n  BN.prototype.sqr = function sqr () {\n    return this.mul(this);\n  };\n\n  // `this` * `this` in-place\n  BN.prototype.isqr = function isqr () {\n    return this.imul(this.clone());\n  };\n\n  // Math.pow(`this`, `num`)\n  BN.prototype.pow = function pow (num) {\n    var w = toBitArray(num);\n    if (w.length === 0) return new BN(1);\n\n    // Skip leading zeroes\n    var res = this;\n    for (var i = 0; i < w.length; i++, res = res.sqr()) {\n      if (w[i] !== 0) break;\n    }\n\n    if (++i < w.length) {\n      for (var q = res.sqr(); i < w.length; i++, q = q.sqr()) {\n        if (w[i] === 0) continue;\n\n        res = res.mul(q);\n      }\n    }\n\n    return res;\n  };\n\n  // Shift-left in-place\n  BN.prototype.iushln = function iushln (bits) {\n    assert(typeof bits === 'number' && bits >= 0);\n    var r = bits % 26;\n    var s = (bits - r) / 26;\n    var carryMask = (0x3ffffff >>> (26 - r)) << (26 - r);\n    var i;\n\n    if (r !== 0) {\n      var carry = 0;\n\n      for (i = 0; i < this.length; i++) {\n        var newCarry = this.words[i] & carryMask;\n        var c = ((this.words[i] | 0) - newCarry) << r;\n        this.words[i] = c | carry;\n        carry = newCarry >>> (26 - r);\n      }\n\n      if (carry) {\n        this.words[i] = carry;\n        this.length++;\n      }\n    }\n\n    if (s !== 0) {\n      for (i = this.length - 1; i >= 0; i--) {\n        this.words[i + s] = this.words[i];\n      }\n\n      for (i = 0; i < s; i++) {\n        this.words[i] = 0;\n      }\n\n      this.length += s;\n    }\n\n    return this._strip();\n  };\n\n  BN.prototype.ishln = function ishln (bits) {\n    // TODO(indutny): implement me\n    assert(this.negative === 0);\n    return this.iushln(bits);\n  };\n\n  // Shift-right in-place\n  // NOTE: `hint` is a lowest bit before trailing zeroes\n  // NOTE: if `extended` is present - it will be filled with destroyed bits\n  BN.prototype.iushrn = function iushrn (bits, hint, extended) {\n    assert(typeof bits === 'number' && bits >= 0);\n    var h;\n    if (hint) {\n      h = (hint - (hint % 26)) / 26;\n    } else {\n      h = 0;\n    }\n\n    var r = bits % 26;\n    var s = Math.min((bits - r) / 26, this.length);\n    var mask = 0x3ffffff ^ ((0x3ffffff >>> r) << r);\n    var maskedWords = extended;\n\n    h -= s;\n    h = Math.max(0, h);\n\n    // Extended mode, copy masked part\n    if (maskedWords) {\n      for (var i = 0; i < s; i++) {\n        maskedWords.words[i] = this.words[i];\n      }\n      maskedWords.length = s;\n    }\n\n    if (s === 0) {\n      // No-op, we should not move anything at all\n    } else if (this.length > s) {\n      this.length -= s;\n      for (i = 0; i < this.length; i++) {\n        this.words[i] = this.words[i + s];\n      }\n    } else {\n      this.words[0] = 0;\n      this.length = 1;\n    }\n\n    var carry = 0;\n    for (i = this.length - 1; i >= 0 && (carry !== 0 || i >= h); i--) {\n      var word = this.words[i] | 0;\n      this.words[i] = (carry << (26 - r)) | (word >>> r);\n      carry = word & mask;\n    }\n\n    // Push carried bits as a mask\n    if (maskedWords && carry !== 0) {\n      maskedWords.words[maskedWords.length++] = carry;\n    }\n\n    if (this.length === 0) {\n      this.words[0] = 0;\n      this.length = 1;\n    }\n\n    return this._strip();\n  };\n\n  BN.prototype.ishrn = function ishrn (bits, hint, extended) {\n    // TODO(indutny): implement me\n    assert(this.negative === 0);\n    return this.iushrn(bits, hint, extended);\n  };\n\n  // Shift-left\n  BN.prototype.shln = function shln (bits) {\n    return this.clone().ishln(bits);\n  };\n\n  BN.prototype.ushln = function ushln (bits) {\n    return this.clone().iushln(bits);\n  };\n\n  // Shift-right\n  BN.prototype.shrn = function shrn (bits) {\n    return this.clone().ishrn(bits);\n  };\n\n  BN.prototype.ushrn = function ushrn (bits) {\n    return this.clone().iushrn(bits);\n  };\n\n  // Test if n bit is set\n  BN.prototype.testn = function testn (bit) {\n    assert(typeof bit === 'number' && bit >= 0);\n    var r = bit % 26;\n    var s = (bit - r) / 26;\n    var q = 1 << r;\n\n    // Fast case: bit is much higher than all existing words\n    if (this.length <= s) return false;\n\n    // Check bit and return\n    var w = this.words[s];\n\n    return !!(w & q);\n  };\n\n  // Return only lowers bits of number (in-place)\n  BN.prototype.imaskn = function imaskn (bits) {\n    assert(typeof bits === 'number' && bits >= 0);\n    var r = bits % 26;\n    var s = (bits - r) / 26;\n\n    assert(this.negative === 0, 'imaskn works only with positive numbers');\n\n    if (this.length <= s) {\n      return this;\n    }\n\n    if (r !== 0) {\n      s++;\n    }\n    this.length = Math.min(s, this.length);\n\n    if (r !== 0) {\n      var mask = 0x3ffffff ^ ((0x3ffffff >>> r) << r);\n      this.words[this.length - 1] &= mask;\n    }\n\n    return this._strip();\n  };\n\n  // Return only lowers bits of number\n  BN.prototype.maskn = function maskn (bits) {\n    return this.clone().imaskn(bits);\n  };\n\n  // Add plain number `num` to `this`\n  BN.prototype.iaddn = function iaddn (num) {\n    assert(typeof num === 'number');\n    assert(num < 0x4000000);\n    if (num < 0) return this.isubn(-num);\n\n    // Possible sign change\n    if (this.negative !== 0) {\n      if (this.length === 1 && (this.words[0] | 0) <= num) {\n        this.words[0] = num - (this.words[0] | 0);\n        this.negative = 0;\n        return this;\n      }\n\n      this.negative = 0;\n      this.isubn(num);\n      this.negative = 1;\n      return this;\n    }\n\n    // Add without checks\n    return this._iaddn(num);\n  };\n\n  BN.prototype._iaddn = function _iaddn (num) {\n    this.words[0] += num;\n\n    // Carry\n    for (var i = 0; i < this.length && this.words[i] >= 0x4000000; i++) {\n      this.words[i] -= 0x4000000;\n      if (i === this.length - 1) {\n        this.words[i + 1] = 1;\n      } else {\n        this.words[i + 1]++;\n      }\n    }\n    this.length = Math.max(this.length, i + 1);\n\n    return this;\n  };\n\n  // Subtract plain number `num` from `this`\n  BN.prototype.isubn = function isubn (num) {\n    assert(typeof num === 'number');\n    assert(num < 0x4000000);\n    if (num < 0) return this.iaddn(-num);\n\n    if (this.negative !== 0) {\n      this.negative = 0;\n      this.iaddn(num);\n      this.negative = 1;\n      return this;\n    }\n\n    this.words[0] -= num;\n\n    if (this.length === 1 && this.words[0] < 0) {\n      this.words[0] = -this.words[0];\n      this.negative = 1;\n    } else {\n      // Carry\n      for (var i = 0; i < this.length && this.words[i] < 0; i++) {\n        this.words[i] += 0x4000000;\n        this.words[i + 1] -= 1;\n      }\n    }\n\n    return this._strip();\n  };\n\n  BN.prototype.addn = function addn (num) {\n    return this.clone().iaddn(num);\n  };\n\n  BN.prototype.subn = function subn (num) {\n    return this.clone().isubn(num);\n  };\n\n  BN.prototype.iabs = function iabs () {\n    this.negative = 0;\n\n    return this;\n  };\n\n  BN.prototype.abs = function abs () {\n    return this.clone().iabs();\n  };\n\n  BN.prototype._ishlnsubmul = function _ishlnsubmul (num, mul, shift) {\n    var len = num.length + shift;\n    var i;\n\n    this._expand(len);\n\n    var w;\n    var carry = 0;\n    for (i = 0; i < num.length; i++) {\n      w = (this.words[i + shift] | 0) + carry;\n      var right = (num.words[i] | 0) * mul;\n      w -= right & 0x3ffffff;\n      carry = (w >> 26) - ((right / 0x4000000) | 0);\n      this.words[i + shift] = w & 0x3ffffff;\n    }\n    for (; i < this.length - shift; i++) {\n      w = (this.words[i + shift] | 0) + carry;\n      carry = w >> 26;\n      this.words[i + shift] = w & 0x3ffffff;\n    }\n\n    if (carry === 0) return this._strip();\n\n    // Subtraction overflow\n    assert(carry === -1);\n    carry = 0;\n    for (i = 0; i < this.length; i++) {\n      w = -(this.words[i] | 0) + carry;\n      carry = w >> 26;\n      this.words[i] = w & 0x3ffffff;\n    }\n    this.negative = 1;\n\n    return this._strip();\n  };\n\n  BN.prototype._wordDiv = function _wordDiv (num, mode) {\n    var shift = this.length - num.length;\n\n    var a = this.clone();\n    var b = num;\n\n    // Normalize\n    var bhi = b.words[b.length - 1] | 0;\n    var bhiBits = this._countBits(bhi);\n    shift = 26 - bhiBits;\n    if (shift !== 0) {\n      b = b.ushln(shift);\n      a.iushln(shift);\n      bhi = b.words[b.length - 1] | 0;\n    }\n\n    // Initialize quotient\n    var m = a.length - b.length;\n    var q;\n\n    if (mode !== 'mod') {\n      q = new BN(null);\n      q.length = m + 1;\n      q.words = new Array(q.length);\n      for (var i = 0; i < q.length; i++) {\n        q.words[i] = 0;\n      }\n    }\n\n    var diff = a.clone()._ishlnsubmul(b, 1, m);\n    if (diff.negative === 0) {\n      a = diff;\n      if (q) {\n        q.words[m] = 1;\n      }\n    }\n\n    for (var j = m - 1; j >= 0; j--) {\n      var qj = (a.words[b.length + j] | 0) * 0x4000000 +\n        (a.words[b.length + j - 1] | 0);\n\n      // NOTE: (qj / bhi) is (0x3ffffff * 0x4000000 + 0x3ffffff) / 0x2000000 max\n      // (0x7ffffff)\n      qj = Math.min((qj / bhi) | 0, 0x3ffffff);\n\n      a._ishlnsubmul(b, qj, j);\n      while (a.negative !== 0) {\n        qj--;\n        a.negative = 0;\n        a._ishlnsubmul(b, 1, j);\n        if (!a.isZero()) {\n          a.negative ^= 1;\n        }\n      }\n      if (q) {\n        q.words[j] = qj;\n      }\n    }\n    if (q) {\n      q._strip();\n    }\n    a._strip();\n\n    // Denormalize\n    if (mode !== 'div' && shift !== 0) {\n      a.iushrn(shift);\n    }\n\n    return {\n      div: q || null,\n      mod: a\n    };\n  };\n\n  // NOTE: 1) `mode` can be set to `mod` to request mod only,\n  //       to `div` to request div only, or be absent to\n  //       request both div & mod\n  //       2) `positive` is true if unsigned mod is requested\n  BN.prototype.divmod = function divmod (num, mode, positive) {\n    assert(!num.isZero());\n\n    if (this.isZero()) {\n      return {\n        div: new BN(0),\n        mod: new BN(0)\n      };\n    }\n\n    var div, mod, res;\n    if (this.negative !== 0 && num.negative === 0) {\n      res = this.neg().divmod(num, mode);\n\n      if (mode !== 'mod') {\n        div = res.div.neg();\n      }\n\n      if (mode !== 'div') {\n        mod = res.mod.neg();\n        if (positive && mod.negative !== 0) {\n          mod.iadd(num);\n        }\n      }\n\n      return {\n        div: div,\n        mod: mod\n      };\n    }\n\n    if (this.negative === 0 && num.negative !== 0) {\n      res = this.divmod(num.neg(), mode);\n\n      if (mode !== 'mod') {\n        div = res.div.neg();\n      }\n\n      return {\n        div: div,\n        mod: res.mod\n      };\n    }\n\n    if ((this.negative & num.negative) !== 0) {\n      res = this.neg().divmod(num.neg(), mode);\n\n      if (mode !== 'div') {\n        mod = res.mod.neg();\n        if (positive && mod.negative !== 0) {\n          mod.isub(num);\n        }\n      }\n\n      return {\n        div: res.div,\n        mod: mod\n      };\n    }\n\n    // Both numbers are positive at this point\n\n    // Strip both numbers to approximate shift value\n    if (num.length > this.length || this.cmp(num) < 0) {\n      return {\n        div: new BN(0),\n        mod: this\n      };\n    }\n\n    // Very short reduction\n    if (num.length === 1) {\n      if (mode === 'div') {\n        return {\n          div: this.divn(num.words[0]),\n          mod: null\n        };\n      }\n\n      if (mode === 'mod') {\n        return {\n          div: null,\n          mod: new BN(this.modrn(num.words[0]))\n        };\n      }\n\n      return {\n        div: this.divn(num.words[0]),\n        mod: new BN(this.modrn(num.words[0]))\n      };\n    }\n\n    return this._wordDiv(num, mode);\n  };\n\n  // Find `this` / `num`\n  BN.prototype.div = function div (num) {\n    return this.divmod(num, 'div', false).div;\n  };\n\n  // Find `this` % `num`\n  BN.prototype.mod = function mod (num) {\n    return this.divmod(num, 'mod', false).mod;\n  };\n\n  BN.prototype.umod = function umod (num) {\n    return this.divmod(num, 'mod', true).mod;\n  };\n\n  // Find Round(`this` / `num`)\n  BN.prototype.divRound = function divRound (num) {\n    var dm = this.divmod(num);\n\n    // Fast case - exact division\n    if (dm.mod.isZero()) return dm.div;\n\n    var mod = dm.div.negative !== 0 ? dm.mod.isub(num) : dm.mod;\n\n    var half = num.ushrn(1);\n    var r2 = num.andln(1);\n    var cmp = mod.cmp(half);\n\n    // Round down\n    if (cmp < 0 || (r2 === 1 && cmp === 0)) return dm.div;\n\n    // Round up\n    return dm.div.negative !== 0 ? dm.div.isubn(1) : dm.div.iaddn(1);\n  };\n\n  BN.prototype.modrn = function modrn (num) {\n    var isNegNum = num < 0;\n    if (isNegNum) num = -num;\n\n    assert(num <= 0x3ffffff);\n    var p = (1 << 26) % num;\n\n    var acc = 0;\n    for (var i = this.length - 1; i >= 0; i--) {\n      acc = (p * acc + (this.words[i] | 0)) % num;\n    }\n\n    return isNegNum ? -acc : acc;\n  };\n\n  // WARNING: DEPRECATED\n  BN.prototype.modn = function modn (num) {\n    return this.modrn(num);\n  };\n\n  // In-place division by number\n  BN.prototype.idivn = function idivn (num) {\n    var isNegNum = num < 0;\n    if (isNegNum) num = -num;\n\n    assert(num <= 0x3ffffff);\n\n    var carry = 0;\n    for (var i = this.length - 1; i >= 0; i--) {\n      var w = (this.words[i] | 0) + carry * 0x4000000;\n      this.words[i] = (w / num) | 0;\n      carry = w % num;\n    }\n\n    this._strip();\n    return isNegNum ? this.ineg() : this;\n  };\n\n  BN.prototype.divn = function divn (num) {\n    return this.clone().idivn(num);\n  };\n\n  BN.prototype.egcd = function egcd (p) {\n    assert(p.negative === 0);\n    assert(!p.isZero());\n\n    var x = this;\n    var y = p.clone();\n\n    if (x.negative !== 0) {\n      x = x.umod(p);\n    } else {\n      x = x.clone();\n    }\n\n    // A * x + B * y = x\n    var A = new BN(1);\n    var B = new BN(0);\n\n    // C * x + D * y = y\n    var C = new BN(0);\n    var D = new BN(1);\n\n    var g = 0;\n\n    while (x.isEven() && y.isEven()) {\n      x.iushrn(1);\n      y.iushrn(1);\n      ++g;\n    }\n\n    var yp = y.clone();\n    var xp = x.clone();\n\n    while (!x.isZero()) {\n      for (var i = 0, im = 1; (x.words[0] & im) === 0 && i < 26; ++i, im <<= 1);\n      if (i > 0) {\n        x.iushrn(i);\n        while (i-- > 0) {\n          if (A.isOdd() || B.isOdd()) {\n            A.iadd(yp);\n            B.isub(xp);\n          }\n\n          A.iushrn(1);\n          B.iushrn(1);\n        }\n      }\n\n      for (var j = 0, jm = 1; (y.words[0] & jm) === 0 && j < 26; ++j, jm <<= 1);\n      if (j > 0) {\n        y.iushrn(j);\n        while (j-- > 0) {\n          if (C.isOdd() || D.isOdd()) {\n            C.iadd(yp);\n            D.isub(xp);\n          }\n\n          C.iushrn(1);\n          D.iushrn(1);\n        }\n      }\n\n      if (x.cmp(y) >= 0) {\n        x.isub(y);\n        A.isub(C);\n        B.isub(D);\n      } else {\n        y.isub(x);\n        C.isub(A);\n        D.isub(B);\n      }\n    }\n\n    return {\n      a: C,\n      b: D,\n      gcd: y.iushln(g)\n    };\n  };\n\n  // This is reduced incarnation of the binary EEA\n  // above, designated to invert members of the\n  // _prime_ fields F(p) at a maximal speed\n  BN.prototype._invmp = function _invmp (p) {\n    assert(p.negative === 0);\n    assert(!p.isZero());\n\n    var a = this;\n    var b = p.clone();\n\n    if (a.negative !== 0) {\n      a = a.umod(p);\n    } else {\n      a = a.clone();\n    }\n\n    var x1 = new BN(1);\n    var x2 = new BN(0);\n\n    var delta = b.clone();\n\n    while (a.cmpn(1) > 0 && b.cmpn(1) > 0) {\n      for (var i = 0, im = 1; (a.words[0] & im) === 0 && i < 26; ++i, im <<= 1);\n      if (i > 0) {\n        a.iushrn(i);\n        while (i-- > 0) {\n          if (x1.isOdd()) {\n            x1.iadd(delta);\n          }\n\n          x1.iushrn(1);\n        }\n      }\n\n      for (var j = 0, jm = 1; (b.words[0] & jm) === 0 && j < 26; ++j, jm <<= 1);\n      if (j > 0) {\n        b.iushrn(j);\n        while (j-- > 0) {\n          if (x2.isOdd()) {\n            x2.iadd(delta);\n          }\n\n          x2.iushrn(1);\n        }\n      }\n\n      if (a.cmp(b) >= 0) {\n        a.isub(b);\n        x1.isub(x2);\n      } else {\n        b.isub(a);\n        x2.isub(x1);\n      }\n    }\n\n    var res;\n    if (a.cmpn(1) === 0) {\n      res = x1;\n    } else {\n      res = x2;\n    }\n\n    if (res.cmpn(0) < 0) {\n      res.iadd(p);\n    }\n\n    return res;\n  };\n\n  BN.prototype.gcd = function gcd (num) {\n    if (this.isZero()) return num.abs();\n    if (num.isZero()) return this.abs();\n\n    var a = this.clone();\n    var b = num.clone();\n    a.negative = 0;\n    b.negative = 0;\n\n    // Remove common factor of two\n    for (var shift = 0; a.isEven() && b.isEven(); shift++) {\n      a.iushrn(1);\n      b.iushrn(1);\n    }\n\n    do {\n      while (a.isEven()) {\n        a.iushrn(1);\n      }\n      while (b.isEven()) {\n        b.iushrn(1);\n      }\n\n      var r = a.cmp(b);\n      if (r < 0) {\n        // Swap `a` and `b` to make `a` always bigger than `b`\n        var t = a;\n        a = b;\n        b = t;\n      } else if (r === 0 || b.cmpn(1) === 0) {\n        break;\n      }\n\n      a.isub(b);\n    } while (true);\n\n    return b.iushln(shift);\n  };\n\n  // Invert number in the field F(num)\n  BN.prototype.invm = function invm (num) {\n    return this.egcd(num).a.umod(num);\n  };\n\n  BN.prototype.isEven = function isEven () {\n    return (this.words[0] & 1) === 0;\n  };\n\n  BN.prototype.isOdd = function isOdd () {\n    return (this.words[0] & 1) === 1;\n  };\n\n  // And first word and num\n  BN.prototype.andln = function andln (num) {\n    return this.words[0] & num;\n  };\n\n  // Increment at the bit position in-line\n  BN.prototype.bincn = function bincn (bit) {\n    assert(typeof bit === 'number');\n    var r = bit % 26;\n    var s = (bit - r) / 26;\n    var q = 1 << r;\n\n    // Fast case: bit is much higher than all existing words\n    if (this.length <= s) {\n      this._expand(s + 1);\n      this.words[s] |= q;\n      return this;\n    }\n\n    // Add bit and propagate, if needed\n    var carry = q;\n    for (var i = s; carry !== 0 && i < this.length; i++) {\n      var w = this.words[i] | 0;\n      w += carry;\n      carry = w >>> 26;\n      w &= 0x3ffffff;\n      this.words[i] = w;\n    }\n    if (carry !== 0) {\n      this.words[i] = carry;\n      this.length++;\n    }\n    return this;\n  };\n\n  BN.prototype.isZero = function isZero () {\n    return this.length === 1 && this.words[0] === 0;\n  };\n\n  BN.prototype.cmpn = function cmpn (num) {\n    var negative = num < 0;\n\n    if (this.negative !== 0 && !negative) return -1;\n    if (this.negative === 0 && negative) return 1;\n\n    this._strip();\n\n    var res;\n    if (this.length > 1) {\n      res = 1;\n    } else {\n      if (negative) {\n        num = -num;\n      }\n\n      assert(num <= 0x3ffffff, 'Number is too big');\n\n      var w = this.words[0] | 0;\n      res = w === num ? 0 : w < num ? -1 : 1;\n    }\n    if (this.negative !== 0) return -res | 0;\n    return res;\n  };\n\n  // Compare two numbers and return:\n  // 1 - if `this` > `num`\n  // 0 - if `this` == `num`\n  // -1 - if `this` < `num`\n  BN.prototype.cmp = function cmp (num) {\n    if (this.negative !== 0 && num.negative === 0) return -1;\n    if (this.negative === 0 && num.negative !== 0) return 1;\n\n    var res = this.ucmp(num);\n    if (this.negative !== 0) return -res | 0;\n    return res;\n  };\n\n  // Unsigned comparison\n  BN.prototype.ucmp = function ucmp (num) {\n    // At this point both numbers have the same sign\n    if (this.length > num.length) return 1;\n    if (this.length < num.length) return -1;\n\n    var res = 0;\n    for (var i = this.length - 1; i >= 0; i--) {\n      var a = this.words[i] | 0;\n      var b = num.words[i] | 0;\n\n      if (a === b) continue;\n      if (a < b) {\n        res = -1;\n      } else if (a > b) {\n        res = 1;\n      }\n      break;\n    }\n    return res;\n  };\n\n  BN.prototype.gtn = function gtn (num) {\n    return this.cmpn(num) === 1;\n  };\n\n  BN.prototype.gt = function gt (num) {\n    return this.cmp(num) === 1;\n  };\n\n  BN.prototype.gten = function gten (num) {\n    return this.cmpn(num) >= 0;\n  };\n\n  BN.prototype.gte = function gte (num) {\n    return this.cmp(num) >= 0;\n  };\n\n  BN.prototype.ltn = function ltn (num) {\n    return this.cmpn(num) === -1;\n  };\n\n  BN.prototype.lt = function lt (num) {\n    return this.cmp(num) === -1;\n  };\n\n  BN.prototype.lten = function lten (num) {\n    return this.cmpn(num) <= 0;\n  };\n\n  BN.prototype.lte = function lte (num) {\n    return this.cmp(num) <= 0;\n  };\n\n  BN.prototype.eqn = function eqn (num) {\n    return this.cmpn(num) === 0;\n  };\n\n  BN.prototype.eq = function eq (num) {\n    return this.cmp(num) === 0;\n  };\n\n  //\n  // A reduce context, could be using montgomery or something better, depending\n  // on the `m` itself.\n  //\n  BN.red = function red (num) {\n    return new Red(num);\n  };\n\n  BN.prototype.toRed = function toRed (ctx) {\n    assert(!this.red, 'Already a number in reduction context');\n    assert(this.negative === 0, 'red works only with positives');\n    return ctx.convertTo(this)._forceRed(ctx);\n  };\n\n  BN.prototype.fromRed = function fromRed () {\n    assert(this.red, 'fromRed works only with numbers in reduction context');\n    return this.red.convertFrom(this);\n  };\n\n  BN.prototype._forceRed = function _forceRed (ctx) {\n    this.red = ctx;\n    return this;\n  };\n\n  BN.prototype.forceRed = function forceRed (ctx) {\n    assert(!this.red, 'Already a number in reduction context');\n    return this._forceRed(ctx);\n  };\n\n  BN.prototype.redAdd = function redAdd (num) {\n    assert(this.red, 'redAdd works only with red numbers');\n    return this.red.add(this, num);\n  };\n\n  BN.prototype.redIAdd = function redIAdd (num) {\n    assert(this.red, 'redIAdd works only with red numbers');\n    return this.red.iadd(this, num);\n  };\n\n  BN.prototype.redSub = function redSub (num) {\n    assert(this.red, 'redSub works only with red numbers');\n    return this.red.sub(this, num);\n  };\n\n  BN.prototype.redISub = function redISub (num) {\n    assert(this.red, 'redISub works only with red numbers');\n    return this.red.isub(this, num);\n  };\n\n  BN.prototype.redShl = function redShl (num) {\n    assert(this.red, 'redShl works only with red numbers');\n    return this.red.shl(this, num);\n  };\n\n  BN.prototype.redMul = function redMul (num) {\n    assert(this.red, 'redMul works only with red numbers');\n    this.red._verify2(this, num);\n    return this.red.mul(this, num);\n  };\n\n  BN.prototype.redIMul = function redIMul (num) {\n    assert(this.red, 'redMul works only with red numbers');\n    this.red._verify2(this, num);\n    return this.red.imul(this, num);\n  };\n\n  BN.prototype.redSqr = function redSqr () {\n    assert(this.red, 'redSqr works only with red numbers');\n    this.red._verify1(this);\n    return this.red.sqr(this);\n  };\n\n  BN.prototype.redISqr = function redISqr () {\n    assert(this.red, 'redISqr works only with red numbers');\n    this.red._verify1(this);\n    return this.red.isqr(this);\n  };\n\n  // Square root over p\n  BN.prototype.redSqrt = function redSqrt () {\n    assert(this.red, 'redSqrt works only with red numbers');\n    this.red._verify1(this);\n    return this.red.sqrt(this);\n  };\n\n  BN.prototype.redInvm = function redInvm () {\n    assert(this.red, 'redInvm works only with red numbers');\n    this.red._verify1(this);\n    return this.red.invm(this);\n  };\n\n  // Return negative clone of `this` % `red modulo`\n  BN.prototype.redNeg = function redNeg () {\n    assert(this.red, 'redNeg works only with red numbers');\n    this.red._verify1(this);\n    return this.red.neg(this);\n  };\n\n  BN.prototype.redPow = function redPow (num) {\n    assert(this.red && !num.red, 'redPow(normalNum)');\n    this.red._verify1(this);\n    return this.red.pow(this, num);\n  };\n\n  // Prime numbers with efficient reduction\n  var primes = {\n    k256: null,\n    p224: null,\n    p192: null,\n    p25519: null\n  };\n\n  // Pseudo-Mersenne prime\n  function MPrime (name, p) {\n    // P = 2 ^ N - K\n    this.name = name;\n    this.p = new BN(p, 16);\n    this.n = this.p.bitLength();\n    this.k = new BN(1).iushln(this.n).isub(this.p);\n\n    this.tmp = this._tmp();\n  }\n\n  MPrime.prototype._tmp = function _tmp () {\n    var tmp = new BN(null);\n    tmp.words = new Array(Math.ceil(this.n / 13));\n    return tmp;\n  };\n\n  MPrime.prototype.ireduce = function ireduce (num) {\n    // Assumes that `num` is less than `P^2`\n    // num = HI * (2 ^ N - K) + HI * K + LO = HI * K + LO (mod P)\n    var r = num;\n    var rlen;\n\n    do {\n      this.split(r, this.tmp);\n      r = this.imulK(r);\n      r = r.iadd(this.tmp);\n      rlen = r.bitLength();\n    } while (rlen > this.n);\n\n    var cmp = rlen < this.n ? -1 : r.ucmp(this.p);\n    if (cmp === 0) {\n      r.words[0] = 0;\n      r.length = 1;\n    } else if (cmp > 0) {\n      r.isub(this.p);\n    } else {\n      if (r.strip !== undefined) {\n        // r is a BN v4 instance\n        r.strip();\n      } else {\n        // r is a BN v5 instance\n        r._strip();\n      }\n    }\n\n    return r;\n  };\n\n  MPrime.prototype.split = function split (input, out) {\n    input.iushrn(this.n, 0, out);\n  };\n\n  MPrime.prototype.imulK = function imulK (num) {\n    return num.imul(this.k);\n  };\n\n  function K256 () {\n    MPrime.call(\n      this,\n      'k256',\n      'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f');\n  }\n  inherits(K256, MPrime);\n\n  K256.prototype.split = function split (input, output) {\n    // 256 = 9 * 26 + 22\n    var mask = 0x3fffff;\n\n    var outLen = Math.min(input.length, 9);\n    for (var i = 0; i < outLen; i++) {\n      output.words[i] = input.words[i];\n    }\n    output.length = outLen;\n\n    if (input.length <= 9) {\n      input.words[0] = 0;\n      input.length = 1;\n      return;\n    }\n\n    // Shift by 9 limbs\n    var prev = input.words[9];\n    output.words[output.length++] = prev & mask;\n\n    for (i = 10; i < input.length; i++) {\n      var next = input.words[i] | 0;\n      input.words[i - 10] = ((next & mask) << 4) | (prev >>> 22);\n      prev = next;\n    }\n    prev >>>= 22;\n    input.words[i - 10] = prev;\n    if (prev === 0 && input.length > 10) {\n      input.length -= 10;\n    } else {\n      input.length -= 9;\n    }\n  };\n\n  K256.prototype.imulK = function imulK (num) {\n    // K = 0x1000003d1 = [ 0x40, 0x3d1 ]\n    num.words[num.length] = 0;\n    num.words[num.length + 1] = 0;\n    num.length += 2;\n\n    // bounded at: 0x40 * 0x3ffffff + 0x3d0 = 0x100000390\n    var lo = 0;\n    for (var i = 0; i < num.length; i++) {\n      var w = num.words[i] | 0;\n      lo += w * 0x3d1;\n      num.words[i] = lo & 0x3ffffff;\n      lo = w * 0x40 + ((lo / 0x4000000) | 0);\n    }\n\n    // Fast length reduction\n    if (num.words[num.length - 1] === 0) {\n      num.length--;\n      if (num.words[num.length - 1] === 0) {\n        num.length--;\n      }\n    }\n    return num;\n  };\n\n  function P224 () {\n    MPrime.call(\n      this,\n      'p224',\n      'ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001');\n  }\n  inherits(P224, MPrime);\n\n  function P192 () {\n    MPrime.call(\n      this,\n      'p192',\n      'ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff');\n  }\n  inherits(P192, MPrime);\n\n  function P25519 () {\n    // 2 ^ 255 - 19\n    MPrime.call(\n      this,\n      '25519',\n      '7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed');\n  }\n  inherits(P25519, MPrime);\n\n  P25519.prototype.imulK = function imulK (num) {\n    // K = 0x13\n    var carry = 0;\n    for (var i = 0; i < num.length; i++) {\n      var hi = (num.words[i] | 0) * 0x13 + carry;\n      var lo = hi & 0x3ffffff;\n      hi >>>= 26;\n\n      num.words[i] = lo;\n      carry = hi;\n    }\n    if (carry !== 0) {\n      num.words[num.length++] = carry;\n    }\n    return num;\n  };\n\n  // Exported mostly for testing purposes, use plain name instead\n  BN._prime = function prime (name) {\n    // Cached version of prime\n    if (primes[name]) return primes[name];\n\n    var prime;\n    if (name === 'k256') {\n      prime = new K256();\n    } else if (name === 'p224') {\n      prime = new P224();\n    } else if (name === 'p192') {\n      prime = new P192();\n    } else if (name === 'p25519') {\n      prime = new P25519();\n    } else {\n      throw new Error('Unknown prime ' + name);\n    }\n    primes[name] = prime;\n\n    return prime;\n  };\n\n  //\n  // Base reduction engine\n  //\n  function Red (m) {\n    if (typeof m === 'string') {\n      var prime = BN._prime(m);\n      this.m = prime.p;\n      this.prime = prime;\n    } else {\n      assert(m.gtn(1), 'modulus must be greater than 1');\n      this.m = m;\n      this.prime = null;\n    }\n  }\n\n  Red.prototype._verify1 = function _verify1 (a) {\n    assert(a.negative === 0, 'red works only with positives');\n    assert(a.red, 'red works only with red numbers');\n  };\n\n  Red.prototype._verify2 = function _verify2 (a, b) {\n    assert((a.negative | b.negative) === 0, 'red works only with positives');\n    assert(a.red && a.red === b.red,\n      'red works only with red numbers');\n  };\n\n  Red.prototype.imod = function imod (a) {\n    if (this.prime) return this.prime.ireduce(a)._forceRed(this);\n\n    move(a, a.umod(this.m)._forceRed(this));\n    return a;\n  };\n\n  Red.prototype.neg = function neg (a) {\n    if (a.isZero()) {\n      return a.clone();\n    }\n\n    return this.m.sub(a)._forceRed(this);\n  };\n\n  Red.prototype.add = function add (a, b) {\n    this._verify2(a, b);\n\n    var res = a.add(b);\n    if (res.cmp(this.m) >= 0) {\n      res.isub(this.m);\n    }\n    return res._forceRed(this);\n  };\n\n  Red.prototype.iadd = function iadd (a, b) {\n    this._verify2(a, b);\n\n    var res = a.iadd(b);\n    if (res.cmp(this.m) >= 0) {\n      res.isub(this.m);\n    }\n    return res;\n  };\n\n  Red.prototype.sub = function sub (a, b) {\n    this._verify2(a, b);\n\n    var res = a.sub(b);\n    if (res.cmpn(0) < 0) {\n      res.iadd(this.m);\n    }\n    return res._forceRed(this);\n  };\n\n  Red.prototype.isub = function isub (a, b) {\n    this._verify2(a, b);\n\n    var res = a.isub(b);\n    if (res.cmpn(0) < 0) {\n      res.iadd(this.m);\n    }\n    return res;\n  };\n\n  Red.prototype.shl = function shl (a, num) {\n    this._verify1(a);\n    return this.imod(a.ushln(num));\n  };\n\n  Red.prototype.imul = function imul (a, b) {\n    this._verify2(a, b);\n    return this.imod(a.imul(b));\n  };\n\n  Red.prototype.mul = function mul (a, b) {\n    this._verify2(a, b);\n    return this.imod(a.mul(b));\n  };\n\n  Red.prototype.isqr = function isqr (a) {\n    return this.imul(a, a.clone());\n  };\n\n  Red.prototype.sqr = function sqr (a) {\n    return this.mul(a, a);\n  };\n\n  Red.prototype.sqrt = function sqrt (a) {\n    if (a.isZero()) return a.clone();\n\n    var mod3 = this.m.andln(3);\n    assert(mod3 % 2 === 1);\n\n    // Fast case\n    if (mod3 === 3) {\n      var pow = this.m.add(new BN(1)).iushrn(2);\n      return this.pow(a, pow);\n    }\n\n    // Tonelli-Shanks algorithm (Totally unoptimized and slow)\n    //\n    // Find Q and S, that Q * 2 ^ S = (P - 1)\n    var q = this.m.subn(1);\n    var s = 0;\n    while (!q.isZero() && q.andln(1) === 0) {\n      s++;\n      q.iushrn(1);\n    }\n    assert(!q.isZero());\n\n    var one = new BN(1).toRed(this);\n    var nOne = one.redNeg();\n\n    // Find quadratic non-residue\n    // NOTE: Max is such because of generalized Riemann hypothesis.\n    var lpow = this.m.subn(1).iushrn(1);\n    var z = this.m.bitLength();\n    z = new BN(2 * z * z).toRed(this);\n\n    while (this.pow(z, lpow).cmp(nOne) !== 0) {\n      z.redIAdd(nOne);\n    }\n\n    var c = this.pow(z, q);\n    var r = this.pow(a, q.addn(1).iushrn(1));\n    var t = this.pow(a, q);\n    var m = s;\n    while (t.cmp(one) !== 0) {\n      var tmp = t;\n      for (var i = 0; tmp.cmp(one) !== 0; i++) {\n        tmp = tmp.redSqr();\n      }\n      assert(i < m);\n      var b = this.pow(c, new BN(1).iushln(m - i - 1));\n\n      r = r.redMul(b);\n      c = b.redSqr();\n      t = t.redMul(c);\n      m = i;\n    }\n\n    return r;\n  };\n\n  Red.prototype.invm = function invm (a) {\n    var inv = a._invmp(this.m);\n    if (inv.negative !== 0) {\n      inv.negative = 0;\n      return this.imod(inv).redNeg();\n    } else {\n      return this.imod(inv);\n    }\n  };\n\n  Red.prototype.pow = function pow (a, num) {\n    if (num.isZero()) return new BN(1).toRed(this);\n    if (num.cmpn(1) === 0) return a.clone();\n\n    var windowSize = 4;\n    var wnd = new Array(1 << windowSize);\n    wnd[0] = new BN(1).toRed(this);\n    wnd[1] = a;\n    for (var i = 2; i < wnd.length; i++) {\n      wnd[i] = this.mul(wnd[i - 1], a);\n    }\n\n    var res = wnd[0];\n    var current = 0;\n    var currentLen = 0;\n    var start = num.bitLength() % 26;\n    if (start === 0) {\n      start = 26;\n    }\n\n    for (i = num.length - 1; i >= 0; i--) {\n      var word = num.words[i];\n      for (var j = start - 1; j >= 0; j--) {\n        var bit = (word >> j) & 1;\n        if (res !== wnd[0]) {\n          res = this.sqr(res);\n        }\n\n        if (bit === 0 && current === 0) {\n          currentLen = 0;\n          continue;\n        }\n\n        current <<= 1;\n        current |= bit;\n        currentLen++;\n        if (currentLen !== windowSize && (i !== 0 || j !== 0)) continue;\n\n        res = this.mul(res, wnd[current]);\n        currentLen = 0;\n        current = 0;\n      }\n      start = 26;\n    }\n\n    return res;\n  };\n\n  Red.prototype.convertTo = function convertTo (num) {\n    var r = num.umod(this.m);\n\n    return r === num ? r.clone() : r;\n  };\n\n  Red.prototype.convertFrom = function convertFrom (num) {\n    var res = num.clone();\n    res.red = null;\n    return res;\n  };\n\n  //\n  // Montgomery method engine\n  //\n\n  BN.mont = function mont (num) {\n    return new Mont(num);\n  };\n\n  function Mont (m) {\n    Red.call(this, m);\n\n    this.shift = this.m.bitLength();\n    if (this.shift % 26 !== 0) {\n      this.shift += 26 - (this.shift % 26);\n    }\n\n    this.r = new BN(1).iushln(this.shift);\n    this.r2 = this.imod(this.r.sqr());\n    this.rinv = this.r._invmp(this.m);\n\n    this.minv = this.rinv.mul(this.r).isubn(1).div(this.m);\n    this.minv = this.minv.umod(this.r);\n    this.minv = this.r.sub(this.minv);\n  }\n  inherits(Mont, Red);\n\n  Mont.prototype.convertTo = function convertTo (num) {\n    return this.imod(num.ushln(this.shift));\n  };\n\n  Mont.prototype.convertFrom = function convertFrom (num) {\n    var r = this.imod(num.mul(this.rinv));\n    r.red = null;\n    return r;\n  };\n\n  Mont.prototype.imul = function imul (a, b) {\n    if (a.isZero() || b.isZero()) {\n      a.words[0] = 0;\n      a.length = 1;\n      return a;\n    }\n\n    var t = a.imul(b);\n    var c = t.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m);\n    var u = t.isub(c).iushrn(this.shift);\n    var res = u;\n\n    if (u.cmp(this.m) >= 0) {\n      res = u.isub(this.m);\n    } else if (u.cmpn(0) < 0) {\n      res = u.iadd(this.m);\n    }\n\n    return res._forceRed(this);\n  };\n\n  Mont.prototype.mul = function mul (a, b) {\n    if (a.isZero() || b.isZero()) return new BN(0)._forceRed(this);\n\n    var t = a.mul(b);\n    var c = t.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m);\n    var u = t.isub(c).iushrn(this.shift);\n    var res = u;\n    if (u.cmp(this.m) >= 0) {\n      res = u.isub(this.m);\n    } else if (u.cmpn(0) < 0) {\n      res = u.iadd(this.m);\n    }\n\n    return res._forceRed(this);\n  };\n\n  Mont.prototype.invm = function invm (a) {\n    // (AR)^-1 * R^2 = (A^-1 * R^-1) * R^2 = A^-1 * R\n    var res = this.imod(a._invmp(this.m).mul(this.r2));\n    return res._forceRed(this);\n  };\n})(typeof module === 'undefined' || module, this);\n","// Copyright Joyent, Inc. and other Node contributors.\n//\n// Permission is hereby granted, free of charge, to any person obtaining a\n// copy of this software and associated documentation files (the\n// \"Software\"), to deal in the Software without restriction, including\n// without limitation the rights to use, copy, modify, merge, publish,\n// distribute, sublicense, and/or sell copies of the Software, and to permit\n// persons to whom the Software is furnished to do so, subject to the\n// following conditions:\n//\n// The above copyright notice and this permission notice shall be included\n// in all copies or substantial portions of the Software.\n//\n// THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS\n// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF\n// MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN\n// NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM,\n// DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR\n// OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE\n// USE OR OTHER DEALINGS IN THE SOFTWARE.\n\n// a duplex stream is just a stream that is both readable and writable.\n// Since JS doesn't have multiple prototypal inheritance, this class\n// prototypally inherits from Readable, and then parasitically from\n// Writable.\n\n'use strict';\n\n/*<replacement>*/\n\nvar pna = require('process-nextick-args');\n/*</replacement>*/\n\n/*<replacement>*/\nvar objectKeys = Object.keys || function (obj) {\n  var keys = [];\n  for (var key in obj) {\n    keys.push(key);\n  }return keys;\n};\n/*</replacement>*/\n\nmodule.exports = Duplex;\n\n/*<replacement>*/\nvar util = Object.create(require('core-util-is'));\nutil.inherits = require('inherits');\n/*</replacement>*/\n\nvar Readable = require('./_stream_readable');\nvar Writable = require('./_stream_writable');\n\nutil.inherits(Duplex, Readable);\n\n{\n  // avoid scope creep, the keys array can then be collected\n  var keys = objectKeys(Writable.prototype);\n  for (var v = 0; v < keys.length; v++) {\n    var method = keys[v];\n    if (!Duplex.prototype[method]) Duplex.prototype[method] = Writable.prototype[method];\n  }\n}\n\nfunction Duplex(options) {\n  if (!(this instanceof Duplex)) return new Duplex(options);\n\n  Readable.call(this, options);\n  Writable.call(this, options);\n\n  if (options && options.readable === false) this.readable = false;\n\n  if (options && options.writable === false) this.writable = false;\n\n  this.allowHalfOpen = true;\n  if (options && options.allowHalfOpen === false) this.allowHalfOpen = false;\n\n  this.once('end', onend);\n}\n\nObject.defineProperty(Duplex.prototype, 'writableHighWaterMark', {\n  // making it explicit this property is not enumerable\n  // because otherwise some prototype manipulation in\n  // userland will fail\n  enumerable: false,\n  get: function () {\n    return this._writableState.highWaterMark;\n  }\n});\n\n// the no-half-open enforcer\nfunction onend() {\n  // if we allow half-open state, or if the writable side ended,\n  // then we're ok.\n  if (this.allowHalfOpen || this._writableState.ended) return;\n\n  // no more data can be written.\n  // But allow more writes to happen in this tick.\n  pna.nextTick(onEndNT, this);\n}\n\nfunction onEndNT(self) {\n  self.end();\n}\n\nObject.defineProperty(Duplex.prototype, 'destroyed', {\n  get: function () {\n    if (this._readableState === undefined || this._writableState === undefined) {\n      return false;\n    }\n    return this._readableState.destroyed && this._writableState.destroyed;\n  },\n  set: function (value) {\n    // we ignore the value if the stream\n    // has not been initialized yet\n    if (this._readableState === undefined || this._writableState === undefined) {\n      return;\n    }\n\n    // backward compatibility, the user is explicitly\n    // managing destroyed\n    this._readableState.destroyed = value;\n    this._writableState.destroyed = value;\n  }\n});\n\nDuplex.prototype._destroy = function (err, cb) {\n  this.push(null);\n  this.end();\n\n  pna.nextTick(cb, err);\n};","// Copyright Joyent, Inc. and other Node contributors.\n//\n// Permission is hereby granted, free of charge, to any person obtaining a\n// copy of this software and associated documentation files (the\n// \"Software\"), to deal in the Software without restriction, including\n// without limitation the rights to use, copy, modify, merge, publish,\n// distribute, sublicense, and/or sell copies of the Software, and to permit\n// persons to whom the Software is furnished to do so, subject to the\n// following conditions:\n//\n// The above copyright notice and this permission notice shall be included\n// in all copies or substantial portions of the Software.\n//\n// THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS\n// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF\n// MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN\n// NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM,\n// DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR\n// OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE\n// USE OR OTHER DEALINGS IN THE SOFTWARE.\n\n'use strict';\n\n/*<replacement>*/\n\nvar pna = require('process-nextick-args');\n/*</replacement>*/\n\nmodule.exports = Readable;\n\n/*<replacement>*/\nvar isArray = require('isarray');\n/*</replacement>*/\n\n/*<replacement>*/\nvar Duplex;\n/*</replacement>*/\n\nReadable.ReadableState = ReadableState;\n\n/*<replacement>*/\nvar EE = require('events').EventEmitter;\n\nvar EElistenerCount = function (emitter, type) {\n  return emitter.listeners(type).length;\n};\n/*</replacement>*/\n\n/*<replacement>*/\nvar Stream = require('./internal/streams/stream');\n/*</replacement>*/\n\n/*<replacement>*/\n\nvar Buffer = require('safe-buffer').Buffer;\nvar OurUint8Array = (typeof global !== 'undefined' ? global : typeof window !== 'undefined' ? window : typeof self !== 'undefined' ? self : {}).Uint8Array || function () {};\nfunction _uint8ArrayToBuffer(chunk) {\n  return Buffer.from(chunk);\n}\nfunction _isUint8Array(obj) {\n  return Buffer.isBuffer(obj) || obj instanceof OurUint8Array;\n}\n\n/*</replacement>*/\n\n/*<replacement>*/\nvar util = Object.create(require('core-util-is'));\nutil.inherits = require('inherits');\n/*</replacement>*/\n\n/*<replacement>*/\nvar debugUtil = require('util');\nvar debug = void 0;\nif (debugUtil && debugUtil.debuglog) {\n  debug = debugUtil.debuglog('stream');\n} else {\n  debug = function () {};\n}\n/*</replacement>*/\n\nvar BufferList = require('./internal/streams/BufferList');\nvar destroyImpl = require('./internal/streams/destroy');\nvar StringDecoder;\n\nutil.inherits(Readable, Stream);\n\nvar kProxyEvents = ['error', 'close', 'destroy', 'pause', 'resume'];\n\nfunction prependListener(emitter, event, fn) {\n  // Sadly this is not cacheable as some libraries bundle their own\n  // event emitter implementation with them.\n  if (typeof emitter.prependListener === 'function') return emitter.prependListener(event, fn);\n\n  // This is a hack to make sure that our error handler is attached before any\n  // userland ones.  NEVER DO THIS. This is here only because this code needs\n  // to continue to work with older versions of Node.js that do not include\n  // the prependListener() method. The goal is to eventually remove this hack.\n  if (!emitter._events || !emitter._events[event]) emitter.on(event, fn);else if (isArray(emitter._events[event])) emitter._events[event].unshift(fn);else emitter._events[event] = [fn, emitter._events[event]];\n}\n\nfunction ReadableState(options, stream) {\n  Duplex = Duplex || require('./_stream_duplex');\n\n  options = options || {};\n\n  // Duplex streams are both readable and writable, but share\n  // the same options object.\n  // However, some cases require setting options to different\n  // values for the readable and the writable sides of the duplex stream.\n  // These options can be provided separately as readableXXX and writableXXX.\n  var isDuplex = stream instanceof Duplex;\n\n  // object stream flag. Used to make read(n) ignore n and to\n  // make all the buffer merging and length checks go away\n  this.objectMode = !!options.objectMode;\n\n  if (isDuplex) this.objectMode = this.objectMode || !!options.readableObjectMode;\n\n  // the point at which it stops calling _read() to fill the buffer\n  // Note: 0 is a valid value, means \"don't call _read preemptively ever\"\n  var hwm = options.highWaterMark;\n  var readableHwm = options.readableHighWaterMark;\n  var defaultHwm = this.objectMode ? 16 : 16 * 1024;\n\n  if (hwm || hwm === 0) this.highWaterMark = hwm;else if (isDuplex && (readableHwm || readableHwm === 0)) this.highWaterMark = readableHwm;else this.highWaterMark = defaultHwm;\n\n  // cast to ints.\n  this.highWaterMark = Math.floor(this.highWaterMark);\n\n  // A linked list is used to store data chunks instead of an array because the\n  // linked list can remove elements from the beginning faster than\n  // array.shift()\n  this.buffer = new BufferList();\n  this.length = 0;\n  this.pipes = null;\n  this.pipesCount = 0;\n  this.flowing = null;\n  this.ended = false;\n  this.endEmitted = false;\n  this.reading = false;\n\n  // a flag to be able to tell if the event 'readable'/'data' is emitted\n  // immediately, or on a later tick.  We set this to true at first, because\n  // any actions that shouldn't happen until \"later\" should generally also\n  // not happen before the first read call.\n  this.sync = true;\n\n  // whenever we return null, then we set a flag to say\n  // that we're awaiting a 'readable' event emission.\n  this.needReadable = false;\n  this.emittedReadable = false;\n  this.readableListening = false;\n  this.resumeScheduled = false;\n\n  // has it been destroyed\n  this.destroyed = false;\n\n  // Crypto is kind of old and crusty.  Historically, its default string\n  // encoding is 'binary' so we have to make this configurable.\n  // Everything else in the universe uses 'utf8', though.\n  this.defaultEncoding = options.defaultEncoding || 'utf8';\n\n  // the number of writers that are awaiting a drain event in .pipe()s\n  this.awaitDrain = 0;\n\n  // if true, a maybeReadMore has been scheduled\n  this.readingMore = false;\n\n  this.decoder = null;\n  this.encoding = null;\n  if (options.encoding) {\n    if (!StringDecoder) StringDecoder = require('string_decoder/').StringDecoder;\n    this.decoder = new StringDecoder(options.encoding);\n    this.encoding = options.encoding;\n  }\n}\n\nfunction Readable(options) {\n  Duplex = Duplex || require('./_stream_duplex');\n\n  if (!(this instanceof Readable)) return new Readable(options);\n\n  this._readableState = new ReadableState(options, this);\n\n  // legacy\n  this.readable = true;\n\n  if (options) {\n    if (typeof options.read === 'function') this._read = options.read;\n\n    if (typeof options.destroy === 'function') this._destroy = options.destroy;\n  }\n\n  Stream.call(this);\n}\n\nObject.defineProperty(Readable.prototype, 'destroyed', {\n  get: function () {\n    if (this._readableState === undefined) {\n      return false;\n    }\n    return this._readableState.destroyed;\n  },\n  set: function (value) {\n    // we ignore the value if the stream\n    // has not been initialized yet\n    if (!this._readableState) {\n      return;\n    }\n\n    // backward compatibility, the user is explicitly\n    // managing destroyed\n    this._readableState.destroyed = value;\n  }\n});\n\nReadable.prototype.destroy = destroyImpl.destroy;\nReadable.prototype._undestroy = destroyImpl.undestroy;\nReadable.prototype._destroy = function (err, cb) {\n  this.push(null);\n  cb(err);\n};\n\n// Manually shove something into the read() buffer.\n// This returns true if the highWaterMark has not been hit yet,\n// similar to how Writable.write() returns true if you should\n// write() some more.\nReadable.prototype.push = function (chunk, encoding) {\n  var state = this._readableState;\n  var skipChunkCheck;\n\n  if (!state.objectMode) {\n    if (typeof chunk === 'string') {\n      encoding = encoding || state.defaultEncoding;\n      if (encoding !== state.encoding) {\n        chunk = Buffer.from(chunk, encoding);\n        encoding = '';\n      }\n      skipChunkCheck = true;\n    }\n  } else {\n    skipChunkCheck = true;\n  }\n\n  return readableAddChunk(this, chunk, encoding, false, skipChunkCheck);\n};\n\n// Unshift should *always* be something directly out of read()\nReadable.prototype.unshift = function (chunk) {\n  return readableAddChunk(this, chunk, null, true, false);\n};\n\nfunction readableAddChunk(stream, chunk, encoding, addToFront, skipChunkCheck) {\n  var state = stream._readableState;\n  if (chunk === null) {\n    state.reading = false;\n    onEofChunk(stream, state);\n  } else {\n    var er;\n    if (!skipChunkCheck) er = chunkInvalid(state, chunk);\n    if (er) {\n      stream.emit('error', er);\n    } else if (state.objectMode || chunk && chunk.length > 0) {\n      if (typeof chunk !== 'string' && !state.objectMode && Object.getPrototypeOf(chunk) !== Buffer.prototype) {\n        chunk = _uint8ArrayToBuffer(chunk);\n      }\n\n      if (addToFront) {\n        if (state.endEmitted) stream.emit('error', new Error('stream.unshift() after end event'));else addChunk(stream, state, chunk, true);\n      } else if (state.ended) {\n        stream.emit('error', new Error('stream.push() after EOF'));\n      } else {\n        state.reading = false;\n        if (state.decoder && !encoding) {\n          chunk = state.decoder.write(chunk);\n          if (state.objectMode || chunk.length !== 0) addChunk(stream, state, chunk, false);else maybeReadMore(stream, state);\n        } else {\n          addChunk(stream, state, chunk, false);\n        }\n      }\n    } else if (!addToFront) {\n      state.reading = false;\n    }\n  }\n\n  return needMoreData(state);\n}\n\nfunction addChunk(stream, state, chunk, addToFront) {\n  if (state.flowing && state.length === 0 && !state.sync) {\n    stream.emit('data', chunk);\n    stream.read(0);\n  } else {\n    // update the buffer info.\n    state.length += state.objectMode ? 1 : chunk.length;\n    if (addToFront) state.buffer.unshift(chunk);else state.buffer.push(chunk);\n\n    if (state.needReadable) emitReadable(stream);\n  }\n  maybeReadMore(stream, state);\n}\n\nfunction chunkInvalid(state, chunk) {\n  var er;\n  if (!_isUint8Array(chunk) && typeof chunk !== 'string' && chunk !== undefined && !state.objectMode) {\n    er = new TypeError('Invalid non-string/buffer chunk');\n  }\n  return er;\n}\n\n// if it's past the high water mark, we can push in some more.\n// Also, if we have no data yet, we can stand some\n// more bytes.  This is to work around cases where hwm=0,\n// such as the repl.  Also, if the push() triggered a\n// readable event, and the user called read(largeNumber) such that\n// needReadable was set, then we ought to push more, so that another\n// 'readable' event will be triggered.\nfunction needMoreData(state) {\n  return !state.ended && (state.needReadable || state.length < state.highWaterMark || state.length === 0);\n}\n\nReadable.prototype.isPaused = function () {\n  return this._readableState.flowing === false;\n};\n\n// backwards compatibility.\nReadable.prototype.setEncoding = function (enc) {\n  if (!StringDecoder) StringDecoder = require('string_decoder/').StringDecoder;\n  this._readableState.decoder = new StringDecoder(enc);\n  this._readableState.encoding = enc;\n  return this;\n};\n\n// Don't raise the hwm > 8MB\nvar MAX_HWM = 0x800000;\nfunction computeNewHighWaterMark(n) {\n  if (n >= MAX_HWM) {\n    n = MAX_HWM;\n  } else {\n    // Get the next highest power of 2 to prevent increasing hwm excessively in\n    // tiny amounts\n    n--;\n    n |= n >>> 1;\n    n |= n >>> 2;\n    n |= n >>> 4;\n    n |= n >>> 8;\n    n |= n >>> 16;\n    n++;\n  }\n  return n;\n}\n\n// This function is designed to be inlinable, so please take care when making\n// changes to the function body.\nfunction howMuchToRead(n, state) {\n  if (n <= 0 || state.length === 0 && state.ended) return 0;\n  if (state.objectMode) return 1;\n  if (n !== n) {\n    // Only flow one buffer at a time\n    if (state.flowing && state.length) return state.buffer.head.data.length;else return state.length;\n  }\n  // If we're asking for more than the current hwm, then raise the hwm.\n  if (n > state.highWaterMark) state.highWaterMark = computeNewHighWaterMark(n);\n  if (n <= state.length) return n;\n  // Don't have enough\n  if (!state.ended) {\n    state.needReadable = true;\n    return 0;\n  }\n  return state.length;\n}\n\n// you can override either this method, or the async _read(n) below.\nReadable.prototype.read = function (n) {\n  debug('read', n);\n  n = parseInt(n, 10);\n  var state = this._readableState;\n  var nOrig = n;\n\n  if (n !== 0) state.emittedReadable = false;\n\n  // if we're doing read(0) to trigger a readable event, but we\n  // already have a bunch of data in the buffer, then just trigger\n  // the 'readable' event and move on.\n  if (n === 0 && state.needReadable && (state.length >= state.highWaterMark || state.ended)) {\n    debug('read: emitReadable', state.length, state.ended);\n    if (state.length === 0 && state.ended) endReadable(this);else emitReadable(this);\n    return null;\n  }\n\n  n = howMuchToRead(n, state);\n\n  // if we've ended, and we're now clear, then finish it up.\n  if (n === 0 && state.ended) {\n    if (state.length === 0) endReadable(this);\n    return null;\n  }\n\n  // All the actual chunk generation logic needs to be\n  // *below* the call to _read.  The reason is that in certain\n  // synthetic stream cases, such as passthrough streams, _read\n  // may be a completely synchronous operation which may change\n  // the state of the read buffer, providing enough data when\n  // before there was *not* enough.\n  //\n  // So, the steps are:\n  // 1. Figure out what the state of things will be after we do\n  // a read from the buffer.\n  //\n  // 2. If that resulting state will trigger a _read, then call _read.\n  // Note that this may be asynchronous, or synchronous.  Yes, it is\n  // deeply ugly to write APIs this way, but that still doesn't mean\n  // that the Readable class should behave improperly, as streams are\n  // designed to be sync/async agnostic.\n  // Take note if the _read call is sync or async (ie, if the read call\n  // has returned yet), so that we know whether or not it's safe to emit\n  // 'readable' etc.\n  //\n  // 3. Actually pull the requested chunks out of the buffer and return.\n\n  // if we need a readable event, then we need to do some reading.\n  var doRead = state.needReadable;\n  debug('need readable', doRead);\n\n  // if we currently have less than the highWaterMark, then also read some\n  if (state.length === 0 || state.length - n < state.highWaterMark) {\n    doRead = true;\n    debug('length less than watermark', doRead);\n  }\n\n  // however, if we've ended, then there's no point, and if we're already\n  // reading, then it's unnecessary.\n  if (state.ended || state.reading) {\n    doRead = false;\n    debug('reading or ended', doRead);\n  } else if (doRead) {\n    debug('do read');\n    state.reading = true;\n    state.sync = true;\n    // if the length is currently zero, then we *need* a readable event.\n    if (state.length === 0) state.needReadable = true;\n    // call internal read method\n    this._read(state.highWaterMark);\n    state.sync = false;\n    // If _read pushed data synchronously, then `reading` will be false,\n    // and we need to re-evaluate how much data we can return to the user.\n    if (!state.reading) n = howMuchToRead(nOrig, state);\n  }\n\n  var ret;\n  if (n > 0) ret = fromList(n, state);else ret = null;\n\n  if (ret === null) {\n    state.needReadable = true;\n    n = 0;\n  } else {\n    state.length -= n;\n  }\n\n  if (state.length === 0) {\n    // If we have nothing in the buffer, then we want to know\n    // as soon as we *do* get something into the buffer.\n    if (!state.ended) state.needReadable = true;\n\n    // If we tried to read() past the EOF, then emit end on the next tick.\n    if (nOrig !== n && state.ended) endReadable(this);\n  }\n\n  if (ret !== null) this.emit('data', ret);\n\n  return ret;\n};\n\nfunction onEofChunk(stream, state) {\n  if (state.ended) return;\n  if (state.decoder) {\n    var chunk = state.decoder.end();\n    if (chunk && chunk.length) {\n      state.buffer.push(chunk);\n      state.length += state.objectMode ? 1 : chunk.length;\n    }\n  }\n  state.ended = true;\n\n  // emit 'readable' now to make sure it gets picked up.\n  emitReadable(stream);\n}\n\n// Don't emit readable right away in sync mode, because this can trigger\n// another read() call => stack overflow.  This way, it might trigger\n// a nextTick recursion warning, but that's not so bad.\nfunction emitReadable(stream) {\n  var state = stream._readableState;\n  state.needReadable = false;\n  if (!state.emittedReadable) {\n    debug('emitReadable', state.flowing);\n    state.emittedReadable = true;\n    if (state.sync) pna.nextTick(emitReadable_, stream);else emitReadable_(stream);\n  }\n}\n\nfunction emitReadable_(stream) {\n  debug('emit readable');\n  stream.emit('readable');\n  flow(stream);\n}\n\n// at this point, the user has presumably seen the 'readable' event,\n// and called read() to consume some data.  that may have triggered\n// in turn another _read(n) call, in which case reading = true if\n// it's in progress.\n// However, if we're not ended, or reading, and the length < hwm,\n// then go ahead and try to read some more preemptively.\nfunction maybeReadMore(stream, state) {\n  if (!state.readingMore) {\n    state.readingMore = true;\n    pna.nextTick(maybeReadMore_, stream, state);\n  }\n}\n\nfunction maybeReadMore_(stream, state) {\n  var len = state.length;\n  while (!state.reading && !state.flowing && !state.ended && state.length < state.highWaterMark) {\n    debug('maybeReadMore read 0');\n    stream.read(0);\n    if (len === state.length)\n      // didn't get any data, stop spinning.\n      break;else len = state.length;\n  }\n  state.readingMore = false;\n}\n\n// abstract method.  to be overridden in specific implementation classes.\n// call cb(er, data) where data is <= n in length.\n// for virtual (non-string, non-buffer) streams, \"length\" is somewhat\n// arbitrary, and perhaps not very meaningful.\nReadable.prototype._read = function (n) {\n  this.emit('error', new Error('_read() is not implemented'));\n};\n\nReadable.prototype.pipe = function (dest, pipeOpts) {\n  var src = this;\n  var state = this._readableState;\n\n  switch (state.pipesCount) {\n    case 0:\n      state.pipes = dest;\n      break;\n    case 1:\n      state.pipes = [state.pipes, dest];\n      break;\n    default:\n      state.pipes.push(dest);\n      break;\n  }\n  state.pipesCount += 1;\n  debug('pipe count=%d opts=%j', state.pipesCount, pipeOpts);\n\n  var doEnd = (!pipeOpts || pipeOpts.end !== false) && dest !== process.stdout && dest !== process.stderr;\n\n  var endFn = doEnd ? onend : unpipe;\n  if (state.endEmitted) pna.nextTick(endFn);else src.once('end', endFn);\n\n  dest.on('unpipe', onunpipe);\n  function onunpipe(readable, unpipeInfo) {\n    debug('onunpipe');\n    if (readable === src) {\n      if (unpipeInfo && unpipeInfo.hasUnpiped === false) {\n        unpipeInfo.hasUnpiped = true;\n        cleanup();\n      }\n    }\n  }\n\n  function onend() {\n    debug('onend');\n    dest.end();\n  }\n\n  // when the dest drains, it reduces the awaitDrain counter\n  // on the source.  This would be more elegant with a .once()\n  // handler in flow(), but adding and removing repeatedly is\n  // too slow.\n  var ondrain = pipeOnDrain(src);\n  dest.on('drain', ondrain);\n\n  var cleanedUp = false;\n  function cleanup() {\n    debug('cleanup');\n    // cleanup event handlers once the pipe is broken\n    dest.removeListener('close', onclose);\n    dest.removeListener('finish', onfinish);\n    dest.removeListener('drain', ondrain);\n    dest.removeListener('error', onerror);\n    dest.removeListener('unpipe', onunpipe);\n    src.removeListener('end', onend);\n    src.removeListener('end', unpipe);\n    src.removeListener('data', ondata);\n\n    cleanedUp = true;\n\n    // if the reader is waiting for a drain event from this\n    // specific writer, then it would cause it to never start\n    // flowing again.\n    // So, if this is awaiting a drain, then we just call it now.\n    // If we don't know, then assume that we are waiting for one.\n    if (state.awaitDrain && (!dest._writableState || dest._writableState.needDrain)) ondrain();\n  }\n\n  // If the user pushes more data while we're writing to dest then we'll end up\n  // in ondata again. However, we only want to increase awaitDrain once because\n  // dest will only emit one 'drain' event for the multiple writes.\n  // => Introduce a guard on increasing awaitDrain.\n  var increasedAwaitDrain = false;\n  src.on('data', ondata);\n  function ondata(chunk) {\n    debug('ondata');\n    increasedAwaitDrain = false;\n    var ret = dest.write(chunk);\n    if (false === ret && !increasedAwaitDrain) {\n      // If the user unpiped during `dest.write()`, it is possible\n      // to get stuck in a permanently paused state if that write\n      // also returned false.\n      // => Check whether `dest` is still a piping destination.\n      if ((state.pipesCount === 1 && state.pipes === dest || state.pipesCount > 1 && indexOf(state.pipes, dest) !== -1) && !cleanedUp) {\n        debug('false write response, pause', state.awaitDrain);\n        state.awaitDrain++;\n        increasedAwaitDrain = true;\n      }\n      src.pause();\n    }\n  }\n\n  // if the dest has an error, then stop piping into it.\n  // however, don't suppress the throwing behavior for this.\n  function onerror(er) {\n    debug('onerror', er);\n    unpipe();\n    dest.removeListener('error', onerror);\n    if (EElistenerCount(dest, 'error') === 0) dest.emit('error', er);\n  }\n\n  // Make sure our error handler is attached before userland ones.\n  prependListener(dest, 'error', onerror);\n\n  // Both close and finish should trigger unpipe, but only once.\n  function onclose() {\n    dest.removeListener('finish', onfinish);\n    unpipe();\n  }\n  dest.once('close', onclose);\n  function onfinish() {\n    debug('onfinish');\n    dest.removeListener('close', onclose);\n    unpipe();\n  }\n  dest.once('finish', onfinish);\n\n  function unpipe() {\n    debug('unpipe');\n    src.unpipe(dest);\n  }\n\n  // tell the dest that it's being piped to\n  dest.emit('pipe', src);\n\n  // start the flow if it hasn't been started already.\n  if (!state.flowing) {\n    debug('pipe resume');\n    src.resume();\n  }\n\n  return dest;\n};\n\nfunction pipeOnDrain(src) {\n  return function () {\n    var state = src._readableState;\n    debug('pipeOnDrain', state.awaitDrain);\n    if (state.awaitDrain) state.awaitDrain--;\n    if (state.awaitDrain === 0 && EElistenerCount(src, 'data')) {\n      state.flowing = true;\n      flow(src);\n    }\n  };\n}\n\nReadable.prototype.unpipe = function (dest) {\n  var state = this._readableState;\n  var unpipeInfo = { hasUnpiped: false };\n\n  // if we're not piping anywhere, then do nothing.\n  if (state.pipesCount === 0) return this;\n\n  // just one destination.  most common case.\n  if (state.pipesCount === 1) {\n    // passed in one, but it's not the right one.\n    if (dest && dest !== state.pipes) return this;\n\n    if (!dest) dest = state.pipes;\n\n    // got a match.\n    state.pipes = null;\n    state.pipesCount = 0;\n    state.flowing = false;\n    if (dest) dest.emit('unpipe', this, unpipeInfo);\n    return this;\n  }\n\n  // slow case. multiple pipe destinations.\n\n  if (!dest) {\n    // remove all.\n    var dests = state.pipes;\n    var len = state.pipesCount;\n    state.pipes = null;\n    state.pipesCount = 0;\n    state.flowing = false;\n\n    for (var i = 0; i < len; i++) {\n      dests[i].emit('unpipe', this, { hasUnpiped: false });\n    }return this;\n  }\n\n  // try to find the right one.\n  var index = indexOf(state.pipes, dest);\n  if (index === -1) return this;\n\n  state.pipes.splice(index, 1);\n  state.pipesCount -= 1;\n  if (state.pipesCount === 1) state.pipes = state.pipes[0];\n\n  dest.emit('unpipe', this, unpipeInfo);\n\n  return this;\n};\n\n// set up data events if they are asked for\n// Ensure readable listeners eventually get something\nReadable.prototype.on = function (ev, fn) {\n  var res = Stream.prototype.on.call(this, ev, fn);\n\n  if (ev === 'data') {\n    // Start flowing on next tick if stream isn't explicitly paused\n    if (this._readableState.flowing !== false) this.resume();\n  } else if (ev === 'readable') {\n    var state = this._readableState;\n    if (!state.endEmitted && !state.readableListening) {\n      state.readableListening = state.needReadable = true;\n      state.emittedReadable = false;\n      if (!state.reading) {\n        pna.nextTick(nReadingNextTick, this);\n      } else if (state.length) {\n        emitReadable(this);\n      }\n    }\n  }\n\n  return res;\n};\nReadable.prototype.addListener = Readable.prototype.on;\n\nfunction nReadingNextTick(self) {\n  debug('readable nexttick read 0');\n  self.read(0);\n}\n\n// pause() and resume() are remnants of the legacy readable stream API\n// If the user uses them, then switch into old mode.\nReadable.prototype.resume = function () {\n  var state = this._readableState;\n  if (!state.flowing) {\n    debug('resume');\n    state.flowing = true;\n    resume(this, state);\n  }\n  return this;\n};\n\nfunction resume(stream, state) {\n  if (!state.resumeScheduled) {\n    state.resumeScheduled = true;\n    pna.nextTick(resume_, stream, state);\n  }\n}\n\nfunction resume_(stream, state) {\n  if (!state.reading) {\n    debug('resume read 0');\n    stream.read(0);\n  }\n\n  state.resumeScheduled = false;\n  state.awaitDrain = 0;\n  stream.emit('resume');\n  flow(stream);\n  if (state.flowing && !state.reading) stream.read(0);\n}\n\nReadable.prototype.pause = function () {\n  debug('call pause flowing=%j', this._readableState.flowing);\n  if (false !== this._readableState.flowing) {\n    debug('pause');\n    this._readableState.flowing = false;\n    this.emit('pause');\n  }\n  return this;\n};\n\nfunction flow(stream) {\n  var state = stream._readableState;\n  debug('flow', state.flowing);\n  while (state.flowing && stream.read() !== null) {}\n}\n\n// wrap an old-style stream as the async data source.\n// This is *not* part of the readable stream interface.\n// It is an ugly unfortunate mess of history.\nReadable.prototype.wrap = function (stream) {\n  var _this = this;\n\n  var state = this._readableState;\n  var paused = false;\n\n  stream.on('end', function () {\n    debug('wrapped end');\n    if (state.decoder && !state.ended) {\n      var chunk = state.decoder.end();\n      if (chunk && chunk.length) _this.push(chunk);\n    }\n\n    _this.push(null);\n  });\n\n  stream.on('data', function (chunk) {\n    debug('wrapped data');\n    if (state.decoder) chunk = state.decoder.write(chunk);\n\n    // don't skip over falsy values in objectMode\n    if (state.objectMode && (chunk === null || chunk === undefined)) return;else if (!state.objectMode && (!chunk || !chunk.length)) return;\n\n    var ret = _this.push(chunk);\n    if (!ret) {\n      paused = true;\n      stream.pause();\n    }\n  });\n\n  // proxy all the other methods.\n  // important when wrapping filters and duplexes.\n  for (var i in stream) {\n    if (this[i] === undefined && typeof stream[i] === 'function') {\n      this[i] = function (method) {\n        return function () {\n          return stream[method].apply(stream, arguments);\n        };\n      }(i);\n    }\n  }\n\n  // proxy certain important events.\n  for (var n = 0; n < kProxyEvents.length; n++) {\n    stream.on(kProxyEvents[n], this.emit.bind(this, kProxyEvents[n]));\n  }\n\n  // when we try to consume some more bytes, simply unpause the\n  // underlying stream.\n  this._read = function (n) {\n    debug('wrapped _read', n);\n    if (paused) {\n      paused = false;\n      stream.resume();\n    }\n  };\n\n  return this;\n};\n\nObject.defineProperty(Readable.prototype, 'readableHighWaterMark', {\n  // making it explicit this property is not enumerable\n  // because otherwise some prototype manipulation in\n  // userland will fail\n  enumerable: false,\n  get: function () {\n    return this._readableState.highWaterMark;\n  }\n});\n\n// exposed for testing purposes only.\nReadable._fromList = fromList;\n\n// Pluck off n bytes from an array of buffers.\n// Length is the combined lengths of all the buffers in the list.\n// This function is designed to be inlinable, so please take care when making\n// changes to the function body.\nfunction fromList(n, state) {\n  // nothing buffered\n  if (state.length === 0) return null;\n\n  var ret;\n  if (state.objectMode) ret = state.buffer.shift();else if (!n || n >= state.length) {\n    // read it all, truncate the list\n    if (state.decoder) ret = state.buffer.join('');else if (state.buffer.length === 1) ret = state.buffer.head.data;else ret = state.buffer.concat(state.length);\n    state.buffer.clear();\n  } else {\n    // read part of list\n    ret = fromListPartial(n, state.buffer, state.decoder);\n  }\n\n  return ret;\n}\n\n// Extracts only enough buffered data to satisfy the amount requested.\n// This function is designed to be inlinable, so please take care when making\n// changes to the function body.\nfunction fromListPartial(n, list, hasStrings) {\n  var ret;\n  if (n < list.head.data.length) {\n    // slice is the same for buffers and strings\n    ret = list.head.data.slice(0, n);\n    list.head.data = list.head.data.slice(n);\n  } else if (n === list.head.data.length) {\n    // first chunk is a perfect match\n    ret = list.shift();\n  } else {\n    // result spans more than one buffer\n    ret = hasStrings ? copyFromBufferString(n, list) : copyFromBuffer(n, list);\n  }\n  return ret;\n}\n\n// Copies a specified amount of characters from the list of buffered data\n// chunks.\n// This function is designed to be inlinable, so please take care when making\n// changes to the function body.\nfunction copyFromBufferString(n, list) {\n  var p = list.head;\n  var c = 1;\n  var ret = p.data;\n  n -= ret.length;\n  while (p = p.next) {\n    var str = p.data;\n    var nb = n > str.length ? str.length : n;\n    if (nb === str.length) ret += str;else ret += str.slice(0, n);\n    n -= nb;\n    if (n === 0) {\n      if (nb === str.length) {\n        ++c;\n        if (p.next) list.head = p.next;else list.head = list.tail = null;\n      } else {\n        list.head = p;\n        p.data = str.slice(nb);\n      }\n      break;\n    }\n    ++c;\n  }\n  list.length -= c;\n  return ret;\n}\n\n// Copies a specified amount of bytes from the list of buffered data chunks.\n// This function is designed to be inlinable, so please take care when making\n// changes to the function body.\nfunction copyFromBuffer(n, list) {\n  var ret = Buffer.allocUnsafe(n);\n  var p = list.head;\n  var c = 1;\n  p.data.copy(ret);\n  n -= p.data.length;\n  while (p = p.next) {\n    var buf = p.data;\n    var nb = n > buf.length ? buf.length : n;\n    buf.copy(ret, ret.length - n, 0, nb);\n    n -= nb;\n    if (n === 0) {\n      if (nb === buf.length) {\n        ++c;\n        if (p.next) list.head = p.next;else list.head = list.tail = null;\n      } else {\n        list.head = p;\n        p.data = buf.slice(nb);\n      }\n      break;\n    }\n    ++c;\n  }\n  list.length -= c;\n  return ret;\n}\n\nfunction endReadable(stream) {\n  var state = stream._readableState;\n\n  // If we get here before consuming all the bytes, then that is a\n  // bug in node.  Should never happen.\n  if (state.length > 0) throw new Error('\"endReadable()\" called on non-empty stream');\n\n  if (!state.endEmitted) {\n    state.ended = true;\n    pna.nextTick(endReadableNT, state, stream);\n  }\n}\n\nfunction endReadableNT(state, stream) {\n  // Check that we didn't get one last unshift.\n  if (!state.endEmitted && state.length === 0) {\n    state.endEmitted = true;\n    stream.readable = false;\n    stream.emit('end');\n  }\n}\n\nfunction indexOf(xs, x) {\n  for (var i = 0, l = xs.length; i < l; i++) {\n    if (xs[i] === x) return i;\n  }\n  return -1;\n}","var toString = {}.toString;\n\nmodule.exports = Array.isArray || function (arr) {\n  return toString.call(arr) == '[object Array]';\n};\n","'use strict';\n\n// much of this based on https://github.com/indutny/self-signed/blob/gh-pages/lib/rsa.js\nvar Buffer = require('safe-buffer').Buffer;\nvar createHmac = require('create-hmac');\nvar crt = require('browserify-rsa');\nvar EC = require('elliptic').ec;\nvar BN = require('bn.js');\nvar parseKeys = require('parse-asn1');\nvar curves = require('./curves.json');\n\nvar RSA_PKCS1_PADDING = 1;\n\nfunction sign(hash, key, hashType, signType, tag) {\n  var priv = parseKeys(key);\n  if (priv.curve) {\n    // rsa keys can be interpreted as ecdsa ones in openssl\n    if (signType !== 'ecdsa' && signType !== 'ecdsa/rsa') { throw new Error('wrong private key type'); }\n    return ecSign(hash, priv);\n  } else if (priv.type === 'dsa') {\n    if (signType !== 'dsa') { throw new Error('wrong private key type'); }\n    return dsaSign(hash, priv, hashType);\n  }\n  if (signType !== 'rsa' && signType !== 'ecdsa/rsa') { throw new Error('wrong private key type'); }\n  if (key.padding !== undefined && key.padding !== RSA_PKCS1_PADDING) { throw new Error('illegal or unsupported padding mode'); }\n\n  hash = Buffer.concat([tag, hash]);\n  var len = priv.modulus.byteLength();\n  var pad = [0, 1];\n  while (hash.length + pad.length + 1 < len) { pad.push(0xff); }\n  pad.push(0x00);\n  var i = -1;\n  while (++i < hash.length) { pad.push(hash[i]); }\n\n  var out = crt(pad, priv);\n  return out;\n}\n\nfunction ecSign(hash, priv) {\n  var curveId = curves[priv.curve.join('.')];\n  if (!curveId) { throw new Error('unknown curve ' + priv.curve.join('.')); }\n\n  var curve = new EC(curveId);\n  var key = curve.keyFromPrivate(priv.privateKey);\n  var out = key.sign(hash);\n\n  return Buffer.from(out.toDER());\n}\n\nfunction dsaSign(hash, priv, algo) {\n  var x = priv.params.priv_key;\n  var p = priv.params.p;\n  var q = priv.params.q;\n  var g = priv.params.g;\n  var r = new BN(0);\n  var k;\n  var H = bits2int(hash, q).mod(q);\n  var s = false;\n  var kv = getKey(x, q, hash, algo);\n  while (s === false) {\n    k = makeKey(q, kv, algo);\n    r = makeR(g, k, p, q);\n    s = k.invm(q).imul(H.add(x.mul(r))).mod(q);\n    if (s.cmpn(0) === 0) {\n      s = false;\n      r = new BN(0);\n    }\n  }\n  return toDER(r, s);\n}\n\nfunction toDER(r, s) {\n  r = r.toArray();\n  s = s.toArray();\n\n  // Pad values\n  if (r[0] & 0x80) { r = [0].concat(r); }\n  if (s[0] & 0x80) { s = [0].concat(s); }\n\n  var total = r.length + s.length + 4;\n  var res = [\n    0x30, total, 0x02, r.length\n  ];\n  res = res.concat(r, [0x02, s.length], s);\n  return Buffer.from(res);\n}\n\nfunction getKey(x, q, hash, algo) {\n  x = Buffer.from(x.toArray());\n  if (x.length < q.byteLength()) {\n    var zeros = Buffer.alloc(q.byteLength() - x.length);\n    x = Buffer.concat([zeros, x]);\n  }\n  var hlen = hash.length;\n  var hbits = bits2octets(hash, q);\n  var v = Buffer.alloc(hlen);\n  v.fill(1);\n  var k = Buffer.alloc(hlen);\n  k = createHmac(algo, k).update(v).update(Buffer.from([0])).update(x).update(hbits).digest();\n  v = createHmac(algo, k).update(v).digest();\n  k = createHmac(algo, k).update(v).update(Buffer.from([1])).update(x).update(hbits).digest();\n  v = createHmac(algo, k).update(v).digest();\n  return { k: k, v: v };\n}\n\nfunction bits2int(obits, q) {\n  var bits = new BN(obits);\n  var shift = (obits.length << 3) - q.bitLength();\n  if (shift > 0) { bits.ishrn(shift); }\n  return bits;\n}\n\nfunction bits2octets(bits, q) {\n  bits = bits2int(bits, q);\n  bits = bits.mod(q);\n  var out = Buffer.from(bits.toArray());\n  if (out.length < q.byteLength()) {\n    var zeros = Buffer.alloc(q.byteLength() - out.length);\n    out = Buffer.concat([zeros, out]);\n  }\n  return out;\n}\n\nfunction makeKey(q, kv, algo) {\n  var t;\n  var k;\n\n  do {\n    t = Buffer.alloc(0);\n\n    while (t.length * 8 < q.bitLength()) {\n      kv.v = createHmac(algo, kv.k).update(kv.v).digest();\n      t = Buffer.concat([t, kv.v]);\n    }\n\n    k = bits2int(t, q);\n    kv.k = createHmac(algo, kv.k).update(kv.v).update(Buffer.from([0])).digest();\n    kv.v = createHmac(algo, kv.k).update(kv.v).digest();\n  } while (k.cmp(q) !== -1);\n\n  return k;\n}\n\nfunction makeR(g, k, p, q) {\n  return g.toRed(BN.mont(p)).redPow(k).fromRed().mod(q);\n}\n\nmodule.exports = sign;\nmodule.exports.getKey = getKey;\nmodule.exports.makeKey = makeKey;\n","'use strict';\n\n/*<replacement>*/\n\nvar pna = require('process-nextick-args');\n/*</replacement>*/\n\n// undocumented cb() API, needed for core, not for public API\nfunction destroy(err, cb) {\n  var _this = this;\n\n  var readableDestroyed = this._readableState && this._readableState.destroyed;\n  var writableDestroyed = this._writableState && this._writableState.destroyed;\n\n  if (readableDestroyed || writableDestroyed) {\n    if (cb) {\n      cb(err);\n    } else if (err) {\n      if (!this._writableState) {\n        pna.nextTick(emitErrorNT, this, err);\n      } else if (!this._writableState.errorEmitted) {\n        this._writableState.errorEmitted = true;\n        pna.nextTick(emitErrorNT, this, err);\n      }\n    }\n\n    return this;\n  }\n\n  // we set destroyed to true before firing error callbacks in order\n  // to make it re-entrance safe in case destroy() is called within callbacks\n\n  if (this._readableState) {\n    this._readableState.destroyed = true;\n  }\n\n  // if this is a duplex stream mark the writable part as destroyed as well\n  if (this._writableState) {\n    this._writableState.destroyed = true;\n  }\n\n  this._destroy(err || null, function (err) {\n    if (!cb && err) {\n      if (!_this._writableState) {\n        pna.nextTick(emitErrorNT, _this, err);\n      } else if (!_this._writableState.errorEmitted) {\n        _this._writableState.errorEmitted = true;\n        pna.nextTick(emitErrorNT, _this, err);\n      }\n    } else if (cb) {\n      cb(err);\n    }\n  });\n\n  return this;\n}\n\nfunction undestroy() {\n  if (this._readableState) {\n    this._readableState.destroyed = false;\n    this._readableState.reading = false;\n    this._readableState.ended = false;\n    this._readableState.endEmitted = false;\n  }\n\n  if (this._writableState) {\n    this._writableState.destroyed = false;\n    this._writableState.ended = false;\n    this._writableState.ending = false;\n    this._writableState.finalCalled = false;\n    this._writableState.prefinished = false;\n    this._writableState.finished = false;\n    this._writableState.errorEmitted = false;\n  }\n}\n\nfunction emitErrorNT(self, err) {\n  self.emit('error', err);\n}\n\nmodule.exports = {\n  destroy: destroy,\n  undestroy: undestroy\n};","'use strict';\n\nvar hash = require('hash.js');\nvar curves = require('../curves');\nvar utils = require('../utils');\nvar assert = utils.assert;\nvar parseBytes = utils.parseBytes;\nvar KeyPair = require('./key');\nvar Signature = require('./signature');\n\nfunction EDDSA(curve) {\n  assert(curve === 'ed25519', 'only tested with ed25519 so far');\n\n  if (!(this instanceof EDDSA))\n    return new EDDSA(curve);\n\n  curve = curves[curve].curve;\n  this.curve = curve;\n  this.g = curve.g;\n  this.g.precompute(curve.n.bitLength() + 1);\n\n  this.pointClass = curve.point().constructor;\n  this.encodingLength = Math.ceil(curve.n.bitLength() / 8);\n  this.hash = hash.sha512;\n}\n\nmodule.exports = EDDSA;\n\n/**\n* @param {Array|String} message - message bytes\n* @param {Array|String|KeyPair} secret - secret bytes or a keypair\n* @returns {Signature} - signature\n*/\nEDDSA.prototype.sign = function sign(message, secret) {\n  message = parseBytes(message);\n  var key = this.keyFromSecret(secret);\n  var r = this.hashInt(key.messagePrefix(), message);\n  var R = this.g.mul(r);\n  var Rencoded = this.encodePoint(R);\n  var s_ = this.hashInt(Rencoded, key.pubBytes(), message)\n    .mul(key.priv());\n  var S = r.add(s_).umod(this.curve.n);\n  return this.makeSignature({ R: R, S: S, Rencoded: Rencoded });\n};\n\n/**\n* @param {Array} message - message bytes\n* @param {Array|String|Signature} sig - sig bytes\n* @param {Array|String|Point|KeyPair} pub - public key\n* @returns {Boolean} - true if public key matches sig of message\n*/\nEDDSA.prototype.verify = function verify(message, sig, pub) {\n  message = parseBytes(message);\n  sig = this.makeSignature(sig);\n  if (sig.S().gte(sig.eddsa.curve.n) || sig.S().isNeg()) {\n    return false;\n  }\n  var key = this.keyFromPublic(pub);\n  var h = this.hashInt(sig.Rencoded(), key.pubBytes(), message);\n  var SG = this.g.mul(sig.S());\n  var RplusAh = sig.R().add(key.pub().mul(h));\n  return RplusAh.eq(SG);\n};\n\nEDDSA.prototype.hashInt = function hashInt() {\n  var hash = this.hash();\n  for (var i = 0; i < arguments.length; i++)\n    hash.update(arguments[i]);\n  return utils.intFromLE(hash.digest()).umod(this.curve.n);\n};\n\nEDDSA.prototype.keyFromPublic = function keyFromPublic(pub) {\n  return KeyPair.fromPublic(this, pub);\n};\n\nEDDSA.prototype.keyFromSecret = function keyFromSecret(secret) {\n  return KeyPair.fromSecret(this, secret);\n};\n\nEDDSA.prototype.makeSignature = function makeSignature(sig) {\n  if (sig instanceof Signature)\n    return sig;\n  return new Signature(this, sig);\n};\n\n/**\n* * https://tools.ietf.org/html/draft-josefsson-eddsa-ed25519-03#section-5.2\n*\n* EDDSA defines methods for encoding and decoding points and integers. These are\n* helper convenience methods, that pass along to utility functions implied\n* parameters.\n*\n*/\nEDDSA.prototype.encodePoint = function encodePoint(point) {\n  var enc = point.getY().toArray('le', this.encodingLength);\n  enc[this.encodingLength - 1] |= point.getX().isOdd() ? 0x80 : 0;\n  return enc;\n};\n\nEDDSA.prototype.decodePoint = function decodePoint(bytes) {\n  bytes = utils.parseBytes(bytes);\n\n  var lastIx = bytes.length - 1;\n  var normed = bytes.slice(0, lastIx).concat(bytes[lastIx] & ~0x80);\n  var xIsOdd = (bytes[lastIx] & 0x80) !== 0;\n\n  var y = utils.intFromLE(normed);\n  return this.curve.pointFromY(y, xIsOdd);\n};\n\nEDDSA.prototype.encodeInt = function encodeInt(num) {\n  return num.toArray('le', this.encodingLength);\n};\n\nEDDSA.prototype.decodeInt = function decodeInt(bytes) {\n  return utils.intFromLE(bytes);\n};\n\nEDDSA.prototype.isPoint = function isPoint(val) {\n  return val instanceof this.pointClass;\n};\n","'use strict';\n\nvar BN = require('bn.js');\nvar HmacDRBG = require('hmac-drbg');\nvar utils = require('../utils');\nvar curves = require('../curves');\nvar rand = require('brorand');\nvar assert = utils.assert;\n\nvar KeyPair = require('./key');\nvar Signature = require('./signature');\n\nfunction EC(options) {\n  if (!(this instanceof EC))\n    return new EC(options);\n\n  // Shortcut `elliptic.ec(curve-name)`\n  if (typeof options === 'string') {\n    assert(Object.prototype.hasOwnProperty.call(curves, options),\n      'Unknown curve ' + options);\n\n    options = curves[options];\n  }\n\n  // Shortcut for `elliptic.ec(elliptic.curves.curveName)`\n  if (options instanceof curves.PresetCurve)\n    options = { curve: options };\n\n  this.curve = options.curve.curve;\n  this.n = this.curve.n;\n  this.nh = this.n.ushrn(1);\n  this.g = this.curve.g;\n\n  // Point on curve\n  this.g = options.curve.g;\n  this.g.precompute(options.curve.n.bitLength() + 1);\n\n  // Hash for function for DRBG\n  this.hash = options.hash || options.curve.hash;\n}\nmodule.exports = EC;\n\nEC.prototype.keyPair = function keyPair(options) {\n  return new KeyPair(this, options);\n};\n\nEC.prototype.keyFromPrivate = function keyFromPrivate(priv, enc) {\n  return KeyPair.fromPrivate(this, priv, enc);\n};\n\nEC.prototype.keyFromPublic = function keyFromPublic(pub, enc) {\n  return KeyPair.fromPublic(this, pub, enc);\n};\n\nEC.prototype.genKeyPair = function genKeyPair(options) {\n  if (!options)\n    options = {};\n\n  // Instantiate Hmac_DRBG\n  var drbg = new HmacDRBG({\n    hash: this.hash,\n    pers: options.pers,\n    persEnc: options.persEnc || 'utf8',\n    entropy: options.entropy || rand(this.hash.hmacStrength),\n    entropyEnc: options.entropy && options.entropyEnc || 'utf8',\n    nonce: this.n.toArray(),\n  });\n\n  var bytes = this.n.byteLength();\n  var ns2 = this.n.sub(new BN(2));\n  for (;;) {\n    var priv = new BN(drbg.generate(bytes));\n    if (priv.cmp(ns2) > 0)\n      continue;\n\n    priv.iaddn(1);\n    return this.keyFromPrivate(priv);\n  }\n};\n\nEC.prototype._truncateToN = function _truncateToN(msg, truncOnly, bitLength) {\n  var byteLength;\n  if (BN.isBN(msg) || typeof msg === 'number') {\n    msg = new BN(msg, 16);\n    byteLength = msg.byteLength();\n  } else if (typeof msg === 'object') {\n    // BN assumes an array-like input and asserts length\n    byteLength = msg.length;\n    msg = new BN(msg, 16);\n  } else {\n    // BN converts the value to string\n    var str = msg.toString();\n    // HEX encoding\n    byteLength = (str.length + 1) >>> 1;\n    msg = new BN(str, 16);\n  }\n  // Allow overriding\n  if (typeof bitLength !== 'number') {\n    bitLength = byteLength * 8;\n  }\n  var delta = bitLength - this.n.bitLength();\n  if (delta > 0)\n    msg = msg.ushrn(delta);\n  if (!truncOnly && msg.cmp(this.n) >= 0)\n    return msg.sub(this.n);\n  else\n    return msg;\n};\n\nEC.prototype.sign = function sign(msg, key, enc, options) {\n  if (typeof enc === 'object') {\n    options = enc;\n    enc = null;\n  }\n  if (!options)\n    options = {};\n\n  if (typeof msg !== 'string' && typeof msg !== 'number' && !BN.isBN(msg)) {\n    assert(typeof msg === 'object' && msg && typeof msg.length === 'number',\n      'Expected message to be an array-like, a hex string, or a BN instance');\n    assert((msg.length >>> 0) === msg.length); // non-negative 32-bit integer\n    for (var i = 0; i < msg.length; i++) assert((msg[i] & 255) === msg[i]);\n  }\n\n  key = this.keyFromPrivate(key, enc);\n  msg = this._truncateToN(msg, false, options.msgBitLength);\n\n  // Would fail further checks, but let's make the error message clear\n  assert(!msg.isNeg(), 'Can not sign a negative message');\n\n  // Zero-extend key to provide enough entropy\n  var bytes = this.n.byteLength();\n  var bkey = key.getPrivate().toArray('be', bytes);\n\n  // Zero-extend nonce to have the same byte size as N\n  var nonce = msg.toArray('be', bytes);\n\n  // Recheck nonce to be bijective to msg\n  assert((new BN(nonce)).eq(msg), 'Can not sign message');\n\n  // Instantiate Hmac_DRBG\n  var drbg = new HmacDRBG({\n    hash: this.hash,\n    entropy: bkey,\n    nonce: nonce,\n    pers: options.pers,\n    persEnc: options.persEnc || 'utf8',\n  });\n\n  // Number of bytes to generate\n  var ns1 = this.n.sub(new BN(1));\n\n  for (var iter = 0; ; iter++) {\n    var k = options.k ?\n      options.k(iter) :\n      new BN(drbg.generate(this.n.byteLength()));\n    k = this._truncateToN(k, true);\n    if (k.cmpn(1) <= 0 || k.cmp(ns1) >= 0)\n      continue;\n\n    var kp = this.g.mul(k);\n    if (kp.isInfinity())\n      continue;\n\n    var kpX = kp.getX();\n    var r = kpX.umod(this.n);\n    if (r.cmpn(0) === 0)\n      continue;\n\n    var s = k.invm(this.n).mul(r.mul(key.getPrivate()).iadd(msg));\n    s = s.umod(this.n);\n    if (s.cmpn(0) === 0)\n      continue;\n\n    var recoveryParam = (kp.getY().isOdd() ? 1 : 0) |\n                        (kpX.cmp(r) !== 0 ? 2 : 0);\n\n    // Use complement of `s`, if it is > `n / 2`\n    if (options.canonical && s.cmp(this.nh) > 0) {\n      s = this.n.sub(s);\n      recoveryParam ^= 1;\n    }\n\n    return new Signature({ r: r, s: s, recoveryParam: recoveryParam });\n  }\n};\n\nEC.prototype.verify = function verify(msg, signature, key, enc, options) {\n  if (!options)\n    options = {};\n\n  msg = this._truncateToN(msg, false, options.msgBitLength);\n  key = this.keyFromPublic(key, enc);\n  signature = new Signature(signature, 'hex');\n\n  // Perform primitive values validation\n  var r = signature.r;\n  var s = signature.s;\n  if (r.cmpn(1) < 0 || r.cmp(this.n) >= 0)\n    return false;\n  if (s.cmpn(1) < 0 || s.cmp(this.n) >= 0)\n    return false;\n\n  // Validate signature\n  var sinv = s.invm(this.n);\n  var u1 = sinv.mul(msg).umod(this.n);\n  var u2 = sinv.mul(r).umod(this.n);\n  var p;\n\n  if (!this.curve._maxwellTrick) {\n    p = this.g.mulAdd(u1, key.getPublic(), u2);\n    if (p.isInfinity())\n      return false;\n\n    return p.getX().umod(this.n).cmp(r) === 0;\n  }\n\n  // NOTE: Greg Maxwell's trick, inspired by:\n  // https://git.io/vad3K\n\n  p = this.g.jmulAdd(u1, key.getPublic(), u2);\n  if (p.isInfinity())\n    return false;\n\n  // Compare `p.x` of Jacobian point with `r`,\n  // this will do `p.x == r * p.z^2` instead of multiplying `p.x` by the\n  // inverse of `p.z^2`\n  return p.eqXToP(r);\n};\n\nEC.prototype.recoverPubKey = function(msg, signature, j, enc) {\n  assert((3 & j) === j, 'The recovery param is more than two bits');\n  signature = new Signature(signature, enc);\n\n  var n = this.n;\n  var e = new BN(msg);\n  var r = signature.r;\n  var s = signature.s;\n\n  // A set LSB signifies that the y-coordinate is odd\n  var isYOdd = j & 1;\n  var isSecondKey = j >> 1;\n  if (r.cmp(this.curve.p.umod(this.curve.n)) >= 0 && isSecondKey)\n    throw new Error('Unable to find sencond key candinate');\n\n  // 1.1. Let x = r + jn.\n  if (isSecondKey)\n    r = this.curve.pointFromX(r.add(this.curve.n), isYOdd);\n  else\n    r = this.curve.pointFromX(r, isYOdd);\n\n  var rInv = signature.r.invm(n);\n  var s1 = n.sub(e).mul(rInv).umod(n);\n  var s2 = s.mul(rInv).umod(n);\n\n  // 1.6.1 Compute Q = r^-1 (sR -  eG)\n  //               Q = r^-1 (sR + -eG)\n  return this.g.mulAdd(s1, r, s2);\n};\n\nEC.prototype.getKeyRecoveryParam = function(e, signature, Q, enc) {\n  signature = new Signature(signature, enc);\n  if (signature.recoveryParam !== null)\n    return signature.recoveryParam;\n\n  for (var i = 0; i < 4; i++) {\n    var Qprime;\n    try {\n      Qprime = this.recoverPubKey(e, signature, i);\n    } catch (e) {\n      continue;\n    }\n\n    if (Qprime.eq(Q))\n      return i;\n  }\n  throw new Error('Unable to find valid recovery factor');\n};\n","'use strict';\n\nvar curves = exports;\n\nvar hash = require('hash.js');\nvar curve = require('./curve');\nvar utils = require('./utils');\n\nvar assert = utils.assert;\n\nfunction PresetCurve(options) {\n  if (options.type === 'short')\n    this.curve = new curve.short(options);\n  else if (options.type === 'edwards')\n    this.curve = new curve.edwards(options);\n  else\n    this.curve = new curve.mont(options);\n  this.g = this.curve.g;\n  this.n = this.curve.n;\n  this.hash = options.hash;\n\n  assert(this.g.validate(), 'Invalid curve');\n  assert(this.g.mul(this.n).isInfinity(), 'Invalid curve, G*N != O');\n}\ncurves.PresetCurve = PresetCurve;\n\nfunction defineCurve(name, options) {\n  Object.defineProperty(curves, name, {\n    configurable: true,\n    enumerable: true,\n    get: function() {\n      var curve = new PresetCurve(options);\n      Object.defineProperty(curves, name, {\n        configurable: true,\n        enumerable: true,\n        value: curve,\n      });\n      return curve;\n    },\n  });\n}\n\ndefineCurve('p192', {\n  type: 'short',\n  prime: 'p192',\n  p: 'ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff',\n  a: 'ffffffff ffffffff ffffffff fffffffe ffffffff fffffffc',\n  b: '64210519 e59c80e7 0fa7e9ab 72243049 feb8deec c146b9b1',\n  n: 'ffffffff ffffffff ffffffff 99def836 146bc9b1 b4d22831',\n  hash: hash.sha256,\n  gRed: false,\n  g: [\n    '188da80e b03090f6 7cbf20eb 43a18800 f4ff0afd 82ff1012',\n    '07192b95 ffc8da78 631011ed 6b24cdd5 73f977a1 1e794811',\n  ],\n});\n\ndefineCurve('p224', {\n  type: 'short',\n  prime: 'p224',\n  p: 'ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001',\n  a: 'ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff fffffffe',\n  b: 'b4050a85 0c04b3ab f5413256 5044b0b7 d7bfd8ba 270b3943 2355ffb4',\n  n: 'ffffffff ffffffff ffffffff ffff16a2 e0b8f03e 13dd2945 5c5c2a3d',\n  hash: hash.sha256,\n  gRed: false,\n  g: [\n    'b70e0cbd 6bb4bf7f 321390b9 4a03c1d3 56c21122 343280d6 115c1d21',\n    'bd376388 b5f723fb 4c22dfe6 cd4375a0 5a074764 44d58199 85007e34',\n  ],\n});\n\ndefineCurve('p256', {\n  type: 'short',\n  prime: null,\n  p: 'ffffffff 00000001 00000000 00000000 00000000 ffffffff ffffffff ffffffff',\n  a: 'ffffffff 00000001 00000000 00000000 00000000 ffffffff ffffffff fffffffc',\n  b: '5ac635d8 aa3a93e7 b3ebbd55 769886bc 651d06b0 cc53b0f6 3bce3c3e 27d2604b',\n  n: 'ffffffff 00000000 ffffffff ffffffff bce6faad a7179e84 f3b9cac2 fc632551',\n  hash: hash.sha256,\n  gRed: false,\n  g: [\n    '6b17d1f2 e12c4247 f8bce6e5 63a440f2 77037d81 2deb33a0 f4a13945 d898c296',\n    '4fe342e2 fe1a7f9b 8ee7eb4a 7c0f9e16 2bce3357 6b315ece cbb64068 37bf51f5',\n  ],\n});\n\ndefineCurve('p384', {\n  type: 'short',\n  prime: null,\n  p: 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ' +\n     'fffffffe ffffffff 00000000 00000000 ffffffff',\n  a: 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ' +\n     'fffffffe ffffffff 00000000 00000000 fffffffc',\n  b: 'b3312fa7 e23ee7e4 988e056b e3f82d19 181d9c6e fe814112 0314088f ' +\n     '5013875a c656398d 8a2ed19d 2a85c8ed d3ec2aef',\n  n: 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff c7634d81 ' +\n     'f4372ddf 581a0db2 48b0a77a ecec196a ccc52973',\n  hash: hash.sha384,\n  gRed: false,\n  g: [\n    'aa87ca22 be8b0537 8eb1c71e f320ad74 6e1d3b62 8ba79b98 59f741e0 82542a38 ' +\n    '5502f25d bf55296c 3a545e38 72760ab7',\n    '3617de4a 96262c6f 5d9e98bf 9292dc29 f8f41dbd 289a147c e9da3113 b5f0b8c0 ' +\n    '0a60b1ce 1d7e819d 7a431d7c 90ea0e5f',\n  ],\n});\n\ndefineCurve('p521', {\n  type: 'short',\n  prime: null,\n  p: '000001ff ffffffff ffffffff ffffffff ffffffff ffffffff ' +\n     'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ' +\n     'ffffffff ffffffff ffffffff ffffffff ffffffff',\n  a: '000001ff ffffffff ffffffff ffffffff ffffffff ffffffff ' +\n     'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ' +\n     'ffffffff ffffffff ffffffff ffffffff fffffffc',\n  b: '00000051 953eb961 8e1c9a1f 929a21a0 b68540ee a2da725b ' +\n     '99b315f3 b8b48991 8ef109e1 56193951 ec7e937b 1652c0bd ' +\n     '3bb1bf07 3573df88 3d2c34f1 ef451fd4 6b503f00',\n  n: '000001ff ffffffff ffffffff ffffffff ffffffff ffffffff ' +\n     'ffffffff ffffffff fffffffa 51868783 bf2f966b 7fcc0148 ' +\n     'f709a5d0 3bb5c9b8 899c47ae bb6fb71e 91386409',\n  hash: hash.sha512,\n  gRed: false,\n  g: [\n    '000000c6 858e06b7 0404e9cd 9e3ecb66 2395b442 9c648139 ' +\n    '053fb521 f828af60 6b4d3dba a14b5e77 efe75928 fe1dc127 ' +\n    'a2ffa8de 3348b3c1 856a429b f97e7e31 c2e5bd66',\n    '00000118 39296a78 9a3bc004 5c8a5fb4 2c7d1bd9 98f54449 ' +\n    '579b4468 17afbd17 273e662c 97ee7299 5ef42640 c550b901 ' +\n    '3fad0761 353c7086 a272c240 88be9476 9fd16650',\n  ],\n});\n\ndefineCurve('curve25519', {\n  type: 'mont',\n  prime: 'p25519',\n  p: '7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed',\n  a: '76d06',\n  b: '1',\n  n: '1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed',\n  hash: hash.sha256,\n  gRed: false,\n  g: [\n    '9',\n  ],\n});\n\ndefineCurve('ed25519', {\n  type: 'edwards',\n  prime: 'p25519',\n  p: '7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed',\n  a: '-1',\n  c: '1',\n  // -121665 * (121666^(-1)) (mod P)\n  d: '52036cee2b6ffe73 8cc740797779e898 00700a4d4141d8ab 75eb4dca135978a3',\n  n: '1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed',\n  hash: hash.sha256,\n  gRed: false,\n  g: [\n    '216936d3cd6e53fec0a4e231fdd6dc5c692cc7609525a7b2c9562d608f25d51a',\n\n    // 4/5\n    '6666666666666666666666666666666666666666666666666666666666666658',\n  ],\n});\n\nvar pre;\ntry {\n  pre = require('./precomputed/secp256k1');\n} catch (e) {\n  pre = undefined;\n}\n\ndefineCurve('secp256k1', {\n  type: 'short',\n  prime: 'k256',\n  p: 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f',\n  a: '0',\n  b: '7',\n  n: 'ffffffff ffffffff ffffffff fffffffe baaedce6 af48a03b bfd25e8c d0364141',\n  h: '1',\n  hash: hash.sha256,\n\n  // Precomputed endomorphism\n  beta: '7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee',\n  lambda: '5363ad4cc05c30e0a5261c028812645a122e22ea20816678df02967c1b23bd72',\n  basis: [\n    {\n      a: '3086d221a7d46bcde86c90e49284eb15',\n      b: '-e4437ed6010e88286f547fa90abfe4c3',\n    },\n    {\n      a: '114ca50f7a8e2f3f657c1108d9d44cfd8',\n      b: '3086d221a7d46bcde86c90e49284eb15',\n    },\n  ],\n\n  gRed: false,\n  g: [\n    '79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798',\n    '483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8',\n    pre,\n  ],\n});\n","exports = module.exports = require('./lib/_stream_readable.js');\nexports.Stream = exports;\nexports.Readable = exports;\nexports.Writable = require('./lib/_stream_writable.js');\nexports.Duplex = require('./lib/_stream_duplex.js');\nexports.Transform = require('./lib/_stream_transform.js');\nexports.PassThrough = require('./lib/_stream_passthrough.js');\n","'use strict';\n\nvar utils = require('../utils');\nvar BN = require('bn.js');\nvar inherits = require('inherits');\nvar Base = require('./base');\n\nvar assert = utils.assert;\n\nfunction EdwardsCurve(conf) {\n  // NOTE: Important as we are creating point in Base.call()\n  this.twisted = (conf.a | 0) !== 1;\n  this.mOneA = this.twisted && (conf.a | 0) === -1;\n  this.extended = this.mOneA;\n\n  Base.call(this, 'edwards', conf);\n\n  this.a = new BN(conf.a, 16).umod(this.red.m);\n  this.a = this.a.toRed(this.red);\n  this.c = new BN(conf.c, 16).toRed(this.red);\n  this.c2 = this.c.redSqr();\n  this.d = new BN(conf.d, 16).toRed(this.red);\n  this.dd = this.d.redAdd(this.d);\n\n  assert(!this.twisted || this.c.fromRed().cmpn(1) === 0);\n  this.oneC = (conf.c | 0) === 1;\n}\ninherits(EdwardsCurve, Base);\nmodule.exports = EdwardsCurve;\n\nEdwardsCurve.prototype._mulA = function _mulA(num) {\n  if (this.mOneA)\n    return num.redNeg();\n  else\n    return this.a.redMul(num);\n};\n\nEdwardsCurve.prototype._mulC = function _mulC(num) {\n  if (this.oneC)\n    return num;\n  else\n    return this.c.redMul(num);\n};\n\n// Just for compatibility with Short curve\nEdwardsCurve.prototype.jpoint = function jpoint(x, y, z, t) {\n  return this.point(x, y, z, t);\n};\n\nEdwardsCurve.prototype.pointFromX = function pointFromX(x, odd) {\n  x = new BN(x, 16);\n  if (!x.red)\n    x = x.toRed(this.red);\n\n  var x2 = x.redSqr();\n  var rhs = this.c2.redSub(this.a.redMul(x2));\n  var lhs = this.one.redSub(this.c2.redMul(this.d).redMul(x2));\n\n  var y2 = rhs.redMul(lhs.redInvm());\n  var y = y2.redSqrt();\n  if (y.redSqr().redSub(y2).cmp(this.zero) !== 0)\n    throw new Error('invalid point');\n\n  var isOdd = y.fromRed().isOdd();\n  if (odd && !isOdd || !odd && isOdd)\n    y = y.redNeg();\n\n  return this.point(x, y);\n};\n\nEdwardsCurve.prototype.pointFromY = function pointFromY(y, odd) {\n  y = new BN(y, 16);\n  if (!y.red)\n    y = y.toRed(this.red);\n\n  // x^2 = (y^2 - c^2) / (c^2 d y^2 - a)\n  var y2 = y.redSqr();\n  var lhs = y2.redSub(this.c2);\n  var rhs = y2.redMul(this.d).redMul(this.c2).redSub(this.a);\n  var x2 = lhs.redMul(rhs.redInvm());\n\n  if (x2.cmp(this.zero) === 0) {\n    if (odd)\n      throw new Error('invalid point');\n    else\n      return this.point(this.zero, y);\n  }\n\n  var x = x2.redSqrt();\n  if (x.redSqr().redSub(x2).cmp(this.zero) !== 0)\n    throw new Error('invalid point');\n\n  if (x.fromRed().isOdd() !== odd)\n    x = x.redNeg();\n\n  return this.point(x, y);\n};\n\nEdwardsCurve.prototype.validate = function validate(point) {\n  if (point.isInfinity())\n    return true;\n\n  // Curve: A * X^2 + Y^2 = C^2 * (1 + D * X^2 * Y^2)\n  point.normalize();\n\n  var x2 = point.x.redSqr();\n  var y2 = point.y.redSqr();\n  var lhs = x2.redMul(this.a).redAdd(y2);\n  var rhs = this.c2.redMul(this.one.redAdd(this.d.redMul(x2).redMul(y2)));\n\n  return lhs.cmp(rhs) === 0;\n};\n\nfunction Point(curve, x, y, z, t) {\n  Base.BasePoint.call(this, curve, 'projective');\n  if (x === null && y === null && z === null) {\n    this.x = this.curve.zero;\n    this.y = this.curve.one;\n    this.z = this.curve.one;\n    this.t = this.curve.zero;\n    this.zOne = true;\n  } else {\n    this.x = new BN(x, 16);\n    this.y = new BN(y, 16);\n    this.z = z ? new BN(z, 16) : this.curve.one;\n    this.t = t && new BN(t, 16);\n    if (!this.x.red)\n      this.x = this.x.toRed(this.curve.red);\n    if (!this.y.red)\n      this.y = this.y.toRed(this.curve.red);\n    if (!this.z.red)\n      this.z = this.z.toRed(this.curve.red);\n    if (this.t && !this.t.red)\n      this.t = this.t.toRed(this.curve.red);\n    this.zOne = this.z === this.curve.one;\n\n    // Use extended coordinates\n    if (this.curve.extended && !this.t) {\n      this.t = this.x.redMul(this.y);\n      if (!this.zOne)\n        this.t = this.t.redMul(this.z.redInvm());\n    }\n  }\n}\ninherits(Point, Base.BasePoint);\n\nEdwardsCurve.prototype.pointFromJSON = function pointFromJSON(obj) {\n  return Point.fromJSON(this, obj);\n};\n\nEdwardsCurve.prototype.point = function point(x, y, z, t) {\n  return new Point(this, x, y, z, t);\n};\n\nPoint.fromJSON = function fromJSON(curve, obj) {\n  return new Point(curve, obj[0], obj[1], obj[2]);\n};\n\nPoint.prototype.inspect = function inspect() {\n  if (this.isInfinity())\n    return '<EC Point Infinity>';\n  return '<EC Point x: ' + this.x.fromRed().toString(16, 2) +\n      ' y: ' + this.y.fromRed().toString(16, 2) +\n      ' z: ' + this.z.fromRed().toString(16, 2) + '>';\n};\n\nPoint.prototype.isInfinity = function isInfinity() {\n  // XXX This code assumes that zero is always zero in red\n  return this.x.cmpn(0) === 0 &&\n    (this.y.cmp(this.z) === 0 ||\n    (this.zOne && this.y.cmp(this.curve.c) === 0));\n};\n\nPoint.prototype._extDbl = function _extDbl() {\n  // hyperelliptic.org/EFD/g1p/auto-twisted-extended-1.html\n  //     #doubling-dbl-2008-hwcd\n  // 4M + 4S\n\n  // A = X1^2\n  var a = this.x.redSqr();\n  // B = Y1^2\n  var b = this.y.redSqr();\n  // C = 2 * Z1^2\n  var c = this.z.redSqr();\n  c = c.redIAdd(c);\n  // D = a * A\n  var d = this.curve._mulA(a);\n  // E = (X1 + Y1)^2 - A - B\n  var e = this.x.redAdd(this.y).redSqr().redISub(a).redISub(b);\n  // G = D + B\n  var g = d.redAdd(b);\n  // F = G - C\n  var f = g.redSub(c);\n  // H = D - B\n  var h = d.redSub(b);\n  // X3 = E * F\n  var nx = e.redMul(f);\n  // Y3 = G * H\n  var ny = g.redMul(h);\n  // T3 = E * H\n  var nt = e.redMul(h);\n  // Z3 = F * G\n  var nz = f.redMul(g);\n  return this.curve.point(nx, ny, nz, nt);\n};\n\nPoint.prototype._projDbl = function _projDbl() {\n  // hyperelliptic.org/EFD/g1p/auto-twisted-projective.html\n  //     #doubling-dbl-2008-bbjlp\n  //     #doubling-dbl-2007-bl\n  // and others\n  // Generally 3M + 4S or 2M + 4S\n\n  // B = (X1 + Y1)^2\n  var b = this.x.redAdd(this.y).redSqr();\n  // C = X1^2\n  var c = this.x.redSqr();\n  // D = Y1^2\n  var d = this.y.redSqr();\n\n  var nx;\n  var ny;\n  var nz;\n  var e;\n  var h;\n  var j;\n  if (this.curve.twisted) {\n    // E = a * C\n    e = this.curve._mulA(c);\n    // F = E + D\n    var f = e.redAdd(d);\n    if (this.zOne) {\n      // X3 = (B - C - D) * (F - 2)\n      nx = b.redSub(c).redSub(d).redMul(f.redSub(this.curve.two));\n      // Y3 = F * (E - D)\n      ny = f.redMul(e.redSub(d));\n      // Z3 = F^2 - 2 * F\n      nz = f.redSqr().redSub(f).redSub(f);\n    } else {\n      // H = Z1^2\n      h = this.z.redSqr();\n      // J = F - 2 * H\n      j = f.redSub(h).redISub(h);\n      // X3 = (B-C-D)*J\n      nx = b.redSub(c).redISub(d).redMul(j);\n      // Y3 = F * (E - D)\n      ny = f.redMul(e.redSub(d));\n      // Z3 = F * J\n      nz = f.redMul(j);\n    }\n  } else {\n    // E = C + D\n    e = c.redAdd(d);\n    // H = (c * Z1)^2\n    h = this.curve._mulC(this.z).redSqr();\n    // J = E - 2 * H\n    j = e.redSub(h).redSub(h);\n    // X3 = c * (B - E) * J\n    nx = this.curve._mulC(b.redISub(e)).redMul(j);\n    // Y3 = c * E * (C - D)\n    ny = this.curve._mulC(e).redMul(c.redISub(d));\n    // Z3 = E * J\n    nz = e.redMul(j);\n  }\n  return this.curve.point(nx, ny, nz);\n};\n\nPoint.prototype.dbl = function dbl() {\n  if (this.isInfinity())\n    return this;\n\n  // Double in extended coordinates\n  if (this.curve.extended)\n    return this._extDbl();\n  else\n    return this._projDbl();\n};\n\nPoint.prototype._extAdd = function _extAdd(p) {\n  // hyperelliptic.org/EFD/g1p/auto-twisted-extended-1.html\n  //     #addition-add-2008-hwcd-3\n  // 8M\n\n  // A = (Y1 - X1) * (Y2 - X2)\n  var a = this.y.redSub(this.x).redMul(p.y.redSub(p.x));\n  // B = (Y1 + X1) * (Y2 + X2)\n  var b = this.y.redAdd(this.x).redMul(p.y.redAdd(p.x));\n  // C = T1 * k * T2\n  var c = this.t.redMul(this.curve.dd).redMul(p.t);\n  // D = Z1 * 2 * Z2\n  var d = this.z.redMul(p.z.redAdd(p.z));\n  // E = B - A\n  var e = b.redSub(a);\n  // F = D - C\n  var f = d.redSub(c);\n  // G = D + C\n  var g = d.redAdd(c);\n  // H = B + A\n  var h = b.redAdd(a);\n  // X3 = E * F\n  var nx = e.redMul(f);\n  // Y3 = G * H\n  var ny = g.redMul(h);\n  // T3 = E * H\n  var nt = e.redMul(h);\n  // Z3 = F * G\n  var nz = f.redMul(g);\n  return this.curve.point(nx, ny, nz, nt);\n};\n\nPoint.prototype._projAdd = function _projAdd(p) {\n  // hyperelliptic.org/EFD/g1p/auto-twisted-projective.html\n  //     #addition-add-2008-bbjlp\n  //     #addition-add-2007-bl\n  // 10M + 1S\n\n  // A = Z1 * Z2\n  var a = this.z.redMul(p.z);\n  // B = A^2\n  var b = a.redSqr();\n  // C = X1 * X2\n  var c = this.x.redMul(p.x);\n  // D = Y1 * Y2\n  var d = this.y.redMul(p.y);\n  // E = d * C * D\n  var e = this.curve.d.redMul(c).redMul(d);\n  // F = B - E\n  var f = b.redSub(e);\n  // G = B + E\n  var g = b.redAdd(e);\n  // X3 = A * F * ((X1 + Y1) * (X2 + Y2) - C - D)\n  var tmp = this.x.redAdd(this.y).redMul(p.x.redAdd(p.y)).redISub(c).redISub(d);\n  var nx = a.redMul(f).redMul(tmp);\n  var ny;\n  var nz;\n  if (this.curve.twisted) {\n    // Y3 = A * G * (D - a * C)\n    ny = a.redMul(g).redMul(d.redSub(this.curve._mulA(c)));\n    // Z3 = F * G\n    nz = f.redMul(g);\n  } else {\n    // Y3 = A * G * (D - C)\n    ny = a.redMul(g).redMul(d.redSub(c));\n    // Z3 = c * F * G\n    nz = this.curve._mulC(f).redMul(g);\n  }\n  return this.curve.point(nx, ny, nz);\n};\n\nPoint.prototype.add = function add(p) {\n  if (this.isInfinity())\n    return p;\n  if (p.isInfinity())\n    return this;\n\n  if (this.curve.extended)\n    return this._extAdd(p);\n  else\n    return this._projAdd(p);\n};\n\nPoint.prototype.mul = function mul(k) {\n  if (this._hasDoubles(k))\n    return this.curve._fixedNafMul(this, k);\n  else\n    return this.curve._wnafMul(this, k);\n};\n\nPoint.prototype.mulAdd = function mulAdd(k1, p, k2) {\n  return this.curve._wnafMulAdd(1, [ this, p ], [ k1, k2 ], 2, false);\n};\n\nPoint.prototype.jmulAdd = function jmulAdd(k1, p, k2) {\n  return this.curve._wnafMulAdd(1, [ this, p ], [ k1, k2 ], 2, true);\n};\n\nPoint.prototype.normalize = function normalize() {\n  if (this.zOne)\n    return this;\n\n  // Normalize coordinates\n  var zi = this.z.redInvm();\n  this.x = this.x.redMul(zi);\n  this.y = this.y.redMul(zi);\n  if (this.t)\n    this.t = this.t.redMul(zi);\n  this.z = this.curve.one;\n  this.zOne = true;\n  return this;\n};\n\nPoint.prototype.neg = function neg() {\n  return this.curve.point(this.x.redNeg(),\n    this.y,\n    this.z,\n    this.t && this.t.redNeg());\n};\n\nPoint.prototype.getX = function getX() {\n  this.normalize();\n  return this.x.fromRed();\n};\n\nPoint.prototype.getY = function getY() {\n  this.normalize();\n  return this.y.fromRed();\n};\n\nPoint.prototype.eq = function eq(other) {\n  return this === other ||\n         this.getX().cmp(other.getX()) === 0 &&\n         this.getY().cmp(other.getY()) === 0;\n};\n\nPoint.prototype.eqXToP = function eqXToP(x) {\n  var rx = x.toRed(this.curve.red).redMul(this.z);\n  if (this.x.cmp(rx) === 0)\n    return true;\n\n  var xc = x.clone();\n  var t = this.curve.redN.redMul(this.z);\n  for (;;) {\n    xc.iadd(this.curve.n);\n    if (xc.cmp(this.curve.p) >= 0)\n      return false;\n\n    rx.redIAdd(t);\n    if (this.x.cmp(rx) === 0)\n      return true;\n  }\n};\n\n// Compatibility with BaseCurve\nPoint.prototype.toP = Point.prototype.normalize;\nPoint.prototype.mixedAdd = Point.prototype.add;\n","'use strict';\n\nmodule.exports = require('./browser/algorithms.json');\n","'use strict';\n\n// adapted from https://github.com/apatil/pemstrip\nvar findProc = /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;\nvar startRegex = /^-----BEGIN ((?:.*? KEY)|CERTIFICATE)-----/m;\nvar fullRegex = /^-----BEGIN ((?:.*? KEY)|CERTIFICATE)-----([0-9A-z\\n\\r+/=]+)-----END \\1-----$/m;\nvar evp = require('evp_bytestokey');\nvar ciphers = require('browserify-aes');\nvar Buffer = require('safe-buffer').Buffer;\nmodule.exports = function (okey, password) {\n\tvar key = okey.toString();\n\tvar match = key.match(findProc);\n\tvar decrypted;\n\tif (!match) {\n\t\tvar match2 = key.match(fullRegex);\n\t\tdecrypted = Buffer.from(match2[2].replace(/[\\r\\n]/g, ''), 'base64');\n\t} else {\n\t\tvar suite = 'aes' + match[1];\n\t\tvar iv = Buffer.from(match[2], 'hex');\n\t\tvar cipherText = Buffer.from(match[3].replace(/[\\r\\n]/g, ''), 'base64');\n\t\tvar cipherKey = evp(password, iv.slice(0, 8), parseInt(match[1], 10)).key;\n\t\tvar out = [];\n\t\tvar cipher = ciphers.createDecipheriv(suite, cipherKey, iv);\n\t\tout.push(cipher.update(cipherText));\n\t\tout.push(cipher['final']());\n\t\tdecrypted = Buffer.concat(out);\n\t}\n\tvar tag = key.match(startRegex)[1];\n\treturn {\n\t\ttag: tag,\n\t\tdata: decrypted\n\t};\n};\n","'use strict';\n\nvar BN = require('bn.js');\nvar utils = require('../utils');\nvar assert = utils.assert;\n\nfunction KeyPair(ec, options) {\n  this.ec = ec;\n  this.priv = null;\n  this.pub = null;\n\n  // KeyPair(ec, { priv: ..., pub: ... })\n  if (options.priv)\n    this._importPrivate(options.priv, options.privEnc);\n  if (options.pub)\n    this._importPublic(options.pub, options.pubEnc);\n}\nmodule.exports = KeyPair;\n\nKeyPair.fromPublic = function fromPublic(ec, pub, enc) {\n  if (pub instanceof KeyPair)\n    return pub;\n\n  return new KeyPair(ec, {\n    pub: pub,\n    pubEnc: enc,\n  });\n};\n\nKeyPair.fromPrivate = function fromPrivate(ec, priv, enc) {\n  if (priv instanceof KeyPair)\n    return priv;\n\n  return new KeyPair(ec, {\n    priv: priv,\n    privEnc: enc,\n  });\n};\n\nKeyPair.prototype.validate = function validate() {\n  var pub = this.getPublic();\n\n  if (pub.isInfinity())\n    return { result: false, reason: 'Invalid public key' };\n  if (!pub.validate())\n    return { result: false, reason: 'Public key is not a point' };\n  if (!pub.mul(this.ec.curve.n).isInfinity())\n    return { result: false, reason: 'Public key * N != O' };\n\n  return { result: true, reason: null };\n};\n\nKeyPair.prototype.getPublic = function getPublic(compact, enc) {\n  // compact is optional argument\n  if (typeof compact === 'string') {\n    enc = compact;\n    compact = null;\n  }\n\n  if (!this.pub)\n    this.pub = this.ec.g.mul(this.priv);\n\n  if (!enc)\n    return this.pub;\n\n  return this.pub.encode(enc, compact);\n};\n\nKeyPair.prototype.getPrivate = function getPrivate(enc) {\n  if (enc === 'hex')\n    return this.priv.toString(16, 2);\n  else\n    return this.priv;\n};\n\nKeyPair.prototype._importPrivate = function _importPrivate(key, enc) {\n  this.priv = new BN(key, enc || 16);\n\n  // Ensure that the priv won't be bigger than n, otherwise we may fail\n  // in fixed multiplication method\n  this.priv = this.priv.umod(this.ec.curve.n);\n};\n\nKeyPair.prototype._importPublic = function _importPublic(key, enc) {\n  if (key.x || key.y) {\n    // Montgomery points only have an `x` coordinate.\n    // Weierstrass/Edwards points on the other hand have both `x` and\n    // `y` coordinates.\n    if (this.ec.curve.type === 'mont') {\n      assert(key.x, 'Need x coordinate');\n    } else if (this.ec.curve.type === 'short' ||\n               this.ec.curve.type === 'edwards') {\n      assert(key.x && key.y, 'Need both x and y coordinate');\n    }\n    this.pub = this.ec.curve.point(key.x, key.y);\n    return;\n  }\n  this.pub = this.ec.curve.decodePoint(key, enc);\n};\n\n// ECDH\nKeyPair.prototype.derive = function derive(pub) {\n  if(!pub.validate()) {\n    assert(pub.validate(), 'public point not validated');\n  }\n  return pub.mul(this.priv).getX();\n};\n\n// ECDSA\nKeyPair.prototype.sign = function sign(msg, enc, options) {\n  return this.ec.sign(msg, this, enc, options);\n};\n\nKeyPair.prototype.verify = function verify(msg, signature, options) {\n  return this.ec.verify(msg, signature, this, undefined, options);\n};\n\nKeyPair.prototype.inspect = function inspect() {\n  return '<Key priv: ' + (this.priv && this.priv.toString(16, 2)) +\n         ' pub: ' + (this.pub && this.pub.inspect()) + ' >';\n};\n","'use strict';\n\nvar curve = exports;\n\ncurve.base = require('./base');\ncurve.short = require('./short');\ncurve.mont = require('./mont');\ncurve.edwards = require('./edwards');\n","'use strict';\n\nvar utils = require('../utils');\nvar assert = utils.assert;\nvar parseBytes = utils.parseBytes;\nvar cachedProperty = utils.cachedProperty;\n\n/**\n* @param {EDDSA} eddsa - instance\n* @param {Object} params - public/private key parameters\n*\n* @param {Array<Byte>} [params.secret] - secret seed bytes\n* @param {Point} [params.pub] - public key point (aka `A` in eddsa terms)\n* @param {Array<Byte>} [params.pub] - public key point encoded as bytes\n*\n*/\nfunction KeyPair(eddsa, params) {\n  this.eddsa = eddsa;\n  this._secret = parseBytes(params.secret);\n  if (eddsa.isPoint(params.pub))\n    this._pub = params.pub;\n  else\n    this._pubBytes = parseBytes(params.pub);\n}\n\nKeyPair.fromPublic = function fromPublic(eddsa, pub) {\n  if (pub instanceof KeyPair)\n    return pub;\n  return new KeyPair(eddsa, { pub: pub });\n};\n\nKeyPair.fromSecret = function fromSecret(eddsa, secret) {\n  if (secret instanceof KeyPair)\n    return secret;\n  return new KeyPair(eddsa, { secret: secret });\n};\n\nKeyPair.prototype.secret = function secret() {\n  return this._secret;\n};\n\ncachedProperty(KeyPair, 'pubBytes', function pubBytes() {\n  return this.eddsa.encodePoint(this.pub());\n});\n\ncachedProperty(KeyPair, 'pub', function pub() {\n  if (this._pubBytes)\n    return this.eddsa.decodePoint(this._pubBytes);\n  return this.eddsa.g.mul(this.priv());\n});\n\ncachedProperty(KeyPair, 'privBytes', function privBytes() {\n  var eddsa = this.eddsa;\n  var hash = this.hash();\n  var lastIx = eddsa.encodingLength - 1;\n\n  var a = hash.slice(0, eddsa.encodingLength);\n  a[0] &= 248;\n  a[lastIx] &= 127;\n  a[lastIx] |= 64;\n\n  return a;\n});\n\ncachedProperty(KeyPair, 'priv', function priv() {\n  return this.eddsa.decodeInt(this.privBytes());\n});\n\ncachedProperty(KeyPair, 'hash', function hash() {\n  return this.eddsa.hash().update(this.secret()).digest();\n});\n\ncachedProperty(KeyPair, 'messagePrefix', function messagePrefix() {\n  return this.hash().slice(this.eddsa.encodingLength);\n});\n\nKeyPair.prototype.sign = function sign(message) {\n  assert(this._secret, 'KeyPair can only verify');\n  return this.eddsa.sign(message, this);\n};\n\nKeyPair.prototype.verify = function verify(message, sig) {\n  return this.eddsa.verify(message, sig, this);\n};\n\nKeyPair.prototype.getSecret = function getSecret(enc) {\n  assert(this._secret, 'KeyPair is public only');\n  return utils.encode(this.secret(), enc);\n};\n\nKeyPair.prototype.getPublic = function getPublic(enc) {\n  return utils.encode(this.pubBytes(), enc);\n};\n\nmodule.exports = KeyPair;\n","'use strict';\n\nvar BN = require('bn.js');\nvar utils = require('../utils');\nvar assert = utils.assert;\nvar cachedProperty = utils.cachedProperty;\nvar parseBytes = utils.parseBytes;\n\n/**\n* @param {EDDSA} eddsa - eddsa instance\n* @param {Array<Bytes>|Object} sig -\n* @param {Array<Bytes>|Point} [sig.R] - R point as Point or bytes\n* @param {Array<Bytes>|bn} [sig.S] - S scalar as bn or bytes\n* @param {Array<Bytes>} [sig.Rencoded] - R point encoded\n* @param {Array<Bytes>} [sig.Sencoded] - S scalar encoded\n*/\nfunction Signature(eddsa, sig) {\n  this.eddsa = eddsa;\n\n  if (typeof sig !== 'object')\n    sig = parseBytes(sig);\n\n  if (Array.isArray(sig)) {\n    assert(sig.length === eddsa.encodingLength * 2, 'Signature has invalid size');\n    sig = {\n      R: sig.slice(0, eddsa.encodingLength),\n      S: sig.slice(eddsa.encodingLength),\n    };\n  }\n\n  assert(sig.R && sig.S, 'Signature without R or S');\n\n  if (eddsa.isPoint(sig.R))\n    this._R = sig.R;\n  if (sig.S instanceof BN)\n    this._S = sig.S;\n\n  this._Rencoded = Array.isArray(sig.R) ? sig.R : sig.Rencoded;\n  this._Sencoded = Array.isArray(sig.S) ? sig.S : sig.Sencoded;\n}\n\ncachedProperty(Signature, 'S', function S() {\n  return this.eddsa.decodeInt(this.Sencoded());\n});\n\ncachedProperty(Signature, 'R', function R() {\n  return this.eddsa.decodePoint(this.Rencoded());\n});\n\ncachedProperty(Signature, 'Rencoded', function Rencoded() {\n  return this.eddsa.encodePoint(this.R());\n});\n\ncachedProperty(Signature, 'Sencoded', function Sencoded() {\n  return this.eddsa.encodeInt(this.S());\n});\n\nSignature.prototype.toBytes = function toBytes() {\n  return this.Rencoded().concat(this.Sencoded());\n};\n\nSignature.prototype.toHex = function toHex() {\n  return utils.encode(this.toBytes(), 'hex').toUpperCase();\n};\n\nmodule.exports = Signature;\n","'use strict';\n\nvar BN = require('bn.js');\nvar randomBytes = require('randombytes');\nvar Buffer = require('safe-buffer').Buffer;\n\nfunction getr(priv) {\n\tvar len = priv.modulus.byteLength();\n\tvar r;\n\tdo {\n\t\tr = new BN(randomBytes(len));\n\t} while (r.cmp(priv.modulus) >= 0 || !r.umod(priv.prime1) || !r.umod(priv.prime2));\n\treturn r;\n}\n\nfunction blind(priv) {\n\tvar r = getr(priv);\n\tvar blinder = r.toRed(BN.mont(priv.modulus)).redPow(new BN(priv.publicExponent)).fromRed();\n\treturn { blinder: blinder, unblinder: r.invm(priv.modulus) };\n}\n\nfunction crt(msg, priv) {\n\tvar blinds = blind(priv);\n\tvar len = priv.modulus.byteLength();\n\tvar blinded = new BN(msg).mul(blinds.blinder).umod(priv.modulus);\n\tvar c1 = blinded.toRed(BN.mont(priv.prime1));\n\tvar c2 = blinded.toRed(BN.mont(priv.prime2));\n\tvar qinv = priv.coefficient;\n\tvar p = priv.prime1;\n\tvar q = priv.prime2;\n\tvar m1 = c1.redPow(priv.exponent1).fromRed();\n\tvar m2 = c2.redPow(priv.exponent2).fromRed();\n\tvar h = m1.isub(m2).imul(qinv).umod(p).imul(q);\n\treturn m2.iadd(h).imul(blinds.unblinder).umod(priv.modulus).toArrayLike(Buffer, 'be', len);\n}\ncrt.getr = getr;\n\nmodule.exports = crt;\n","'use strict';\n\n// much of this based on https://github.com/indutny/self-signed/blob/gh-pages/lib/rsa.js\nvar Buffer = require('safe-buffer').Buffer;\nvar BN = require('bn.js');\nvar EC = require('elliptic').ec;\nvar parseKeys = require('parse-asn1');\nvar curves = require('./curves.json');\n\nfunction verify(sig, hash, key, signType, tag) {\n  var pub = parseKeys(key);\n  if (pub.type === 'ec') {\n    // rsa keys can be interpreted as ecdsa ones in openssl\n    if (signType !== 'ecdsa' && signType !== 'ecdsa/rsa') { throw new Error('wrong public key type'); }\n    return ecVerify(sig, hash, pub);\n  } else if (pub.type === 'dsa') {\n    if (signType !== 'dsa') { throw new Error('wrong public key type'); }\n    return dsaVerify(sig, hash, pub);\n  }\n  if (signType !== 'rsa' && signType !== 'ecdsa/rsa') { throw new Error('wrong public key type'); }\n\n  hash = Buffer.concat([tag, hash]);\n  var len = pub.modulus.byteLength();\n  var pad = [1];\n  var padNum = 0;\n  while (hash.length + pad.length + 2 < len) {\n    pad.push(0xff);\n    padNum += 1;\n  }\n  pad.push(0x00);\n  var i = -1;\n  while (++i < hash.length) {\n    pad.push(hash[i]);\n  }\n  pad = Buffer.from(pad);\n  var red = BN.mont(pub.modulus);\n  sig = new BN(sig).toRed(red);\n\n  sig = sig.redPow(new BN(pub.publicExponent));\n  sig = Buffer.from(sig.fromRed().toArray());\n  var out = padNum < 8 ? 1 : 0;\n  len = Math.min(sig.length, pad.length);\n  if (sig.length !== pad.length) { out = 1; }\n\n  i = -1;\n  while (++i < len) { out |= sig[i] ^ pad[i]; }\n  return out === 0;\n}\n\nfunction ecVerify(sig, hash, pub) {\n  var curveId = curves[pub.data.algorithm.curve.join('.')];\n  if (!curveId) { throw new Error('unknown curve ' + pub.data.algorithm.curve.join('.')); }\n\n  var curve = new EC(curveId);\n  var pubkey = pub.data.subjectPrivateKey.data;\n\n  return curve.verify(hash, sig, pubkey);\n}\n\nfunction dsaVerify(sig, hash, pub) {\n  var p = pub.data.p;\n  var q = pub.data.q;\n  var g = pub.data.g;\n  var y = pub.data.pub_key;\n  var unpacked = parseKeys.signature.decode(sig, 'der');\n  var s = unpacked.s;\n  var r = unpacked.r;\n  checkValue(s, q);\n  checkValue(r, q);\n  var montp = BN.mont(p);\n  var w = s.invm(q);\n  var v = g.toRed(montp)\n    .redPow(new BN(hash).mul(w).mod(q))\n    .fromRed()\n    .mul(y.toRed(montp).redPow(r.mul(w).mod(q)).fromRed())\n    .mod(p)\n    .mod(q);\n  return v.cmp(r) === 0;\n}\n\nfunction checkValue(b, q) {\n  if (b.cmpn(0) <= 0) { throw new Error('invalid sig'); }\n  if (b.cmp(q) >= 0) { throw new Error('invalid sig'); }\n}\n\nmodule.exports = verify;\n","// Copyright Joyent, Inc. and other Node contributors.\n//\n// Permission is hereby granted, free of charge, to any person obtaining a\n// copy of this software and associated documentation files (the\n// \"Software\"), to deal in the Software without restriction, including\n// without limitation the rights to use, copy, modify, merge, publish,\n// distribute, sublicense, and/or sell copies of the Software, and to permit\n// persons to whom the Software is furnished to do so, subject to the\n// following conditions:\n//\n// The above copyright notice and this permission notice shall be included\n// in all copies or substantial portions of the Software.\n//\n// THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS\n// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF\n// MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN\n// NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM,\n// DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR\n// OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE\n// USE OR OTHER DEALINGS IN THE SOFTWARE.\n\n// a passthrough stream.\n// basically just the most minimal sort of Transform stream.\n// Every written chunk gets output as-is.\n\n'use strict';\n\nmodule.exports = PassThrough;\n\nvar Transform = require('./_stream_transform');\n\n/*<replacement>*/\nvar util = Object.create(require('core-util-is'));\nutil.inherits = require('inherits');\n/*</replacement>*/\n\nutil.inherits(PassThrough, Transform);\n\nfunction PassThrough(options) {\n  if (!(this instanceof PassThrough)) return new PassThrough(options);\n\n  Transform.call(this, options);\n}\n\nPassThrough.prototype._transform = function (chunk, encoding, cb) {\n  cb(null, chunk);\n};","// Copyright Joyent, Inc. and other Node contributors.\n//\n// Permission is hereby granted, free of charge, to any person obtaining a\n// copy of this software and associated documentation files (the\n// \"Software\"), to deal in the Software without restriction, including\n// without limitation the rights to use, copy, modify, merge, publish,\n// distribute, sublicense, and/or sell copies of the Software, and to permit\n// persons to whom the Software is furnished to do so, subject to the\n// following conditions:\n//\n// The above copyright notice and this permission notice shall be included\n// in all copies or substantial portions of the Software.\n//\n// THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS\n// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF\n// MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN\n// NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM,\n// DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR\n// OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE\n// USE OR OTHER DEALINGS IN THE SOFTWARE.\n\n// a transform stream is a readable/writable stream where you do\n// something with the data.  Sometimes it's called a \"filter\",\n// but that's not a great name for it, since that implies a thing where\n// some bits pass through, and others are simply ignored.  (That would\n// be a valid example of a transform, of course.)\n//\n// While the output is causally related to the input, it's not a\n// necessarily symmetric or synchronous transformation.  For example,\n// a zlib stream might take multiple plain-text writes(), and then\n// emit a single compressed chunk some time in the future.\n//\n// Here's how this works:\n//\n// The Transform stream has all the aspects of the readable and writable\n// stream classes.  When you write(chunk), that calls _write(chunk,cb)\n// internally, and returns false if there's a lot of pending writes\n// buffered up.  When you call read(), that calls _read(n) until\n// there's enough pending readable data buffered up.\n//\n// In a transform stream, the written data is placed in a buffer.  When\n// _read(n) is called, it transforms the queued up data, calling the\n// buffered _write cb's as it consumes chunks.  If consuming a single\n// written chunk would result in multiple output chunks, then the first\n// outputted bit calls the readcb, and subsequent chunks just go into\n// the read buffer, and will cause it to emit 'readable' if necessary.\n//\n// This way, back-pressure is actually determined by the reading side,\n// since _read has to be called to start processing a new chunk.  However,\n// a pathological inflate type of transform can cause excessive buffering\n// here.  For example, imagine a stream where every byte of input is\n// interpreted as an integer from 0-255, and then results in that many\n// bytes of output.  Writing the 4 bytes {ff,ff,ff,ff} would result in\n// 1kb of data being output.  In this case, you could write a very small\n// amount of input, and end up with a very large amount of output.  In\n// such a pathological inflating mechanism, there'd be no way to tell\n// the system to stop doing the transform.  A single 4MB write could\n// cause the system to run out of memory.\n//\n// However, even in such a pathological case, only a single written chunk\n// would be consumed, and then the rest would wait (un-transformed) until\n// the results of the previous transformed chunk were consumed.\n\n'use strict';\n\nmodule.exports = Transform;\n\nvar Duplex = require('./_stream_duplex');\n\n/*<replacement>*/\nvar util = Object.create(require('core-util-is'));\nutil.inherits = require('inherits');\n/*</replacement>*/\n\nutil.inherits(Transform, Duplex);\n\nfunction afterTransform(er, data) {\n  var ts = this._transformState;\n  ts.transforming = false;\n\n  var cb = ts.writecb;\n\n  if (!cb) {\n    return this.emit('error', new Error('write callback called multiple times'));\n  }\n\n  ts.writechunk = null;\n  ts.writecb = null;\n\n  if (data != null) // single equals check for both `null` and `undefined`\n    this.push(data);\n\n  cb(er);\n\n  var rs = this._readableState;\n  rs.reading = false;\n  if (rs.needReadable || rs.length < rs.highWaterMark) {\n    this._read(rs.highWaterMark);\n  }\n}\n\nfunction Transform(options) {\n  if (!(this instanceof Transform)) return new Transform(options);\n\n  Duplex.call(this, options);\n\n  this._transformState = {\n    afterTransform: afterTransform.bind(this),\n    needTransform: false,\n    transforming: false,\n    writecb: null,\n    writechunk: null,\n    writeencoding: null\n  };\n\n  // start out asking for a readable event once data is transformed.\n  this._readableState.needReadable = true;\n\n  // we have implemented the _read method, and done the other things\n  // that Readable wants before the first _read call, so unset the\n  // sync guard flag.\n  this._readableState.sync = false;\n\n  if (options) {\n    if (typeof options.transform === 'function') this._transform = options.transform;\n\n    if (typeof options.flush === 'function') this._flush = options.flush;\n  }\n\n  // When the writable side finishes, then flush out anything remaining.\n  this.on('prefinish', prefinish);\n}\n\nfunction prefinish() {\n  var _this = this;\n\n  if (typeof this._flush === 'function') {\n    this._flush(function (er, data) {\n      done(_this, er, data);\n    });\n  } else {\n    done(this, null, null);\n  }\n}\n\nTransform.prototype.push = function (chunk, encoding) {\n  this._transformState.needTransform = false;\n  return Duplex.prototype.push.call(this, chunk, encoding);\n};\n\n// This is the part where you do stuff!\n// override this function in implementation classes.\n// 'chunk' is an input chunk.\n//\n// Call `push(newChunk)` to pass along transformed output\n// to the readable side.  You may call 'push' zero or more times.\n//\n// Call `cb(err)` when you are done with this chunk.  If you pass\n// an error, then that'll put the hurt on the whole operation.  If you\n// never call cb(), then you'll never get another chunk.\nTransform.prototype._transform = function (chunk, encoding, cb) {\n  throw new Error('_transform() is not implemented');\n};\n\nTransform.prototype._write = function (chunk, encoding, cb) {\n  var ts = this._transformState;\n  ts.writecb = cb;\n  ts.writechunk = chunk;\n  ts.writeencoding = encoding;\n  if (!ts.transforming) {\n    var rs = this._readableState;\n    if (ts.needTransform || rs.needReadable || rs.length < rs.highWaterMark) this._read(rs.highWaterMark);\n  }\n};\n\n// Doesn't matter what the args are here.\n// _transform does all the work.\n// That we got here means that the readable side wants more data.\nTransform.prototype._read = function (n) {\n  var ts = this._transformState;\n\n  if (ts.writechunk !== null && ts.writecb && !ts.transforming) {\n    ts.transforming = true;\n    this._transform(ts.writechunk, ts.writeencoding, ts.afterTransform);\n  } else {\n    // mark that we need a transform, so that any data that comes in\n    // will get processed, now that we've asked for it.\n    ts.needTransform = true;\n  }\n};\n\nTransform.prototype._destroy = function (err, cb) {\n  var _this2 = this;\n\n  Duplex.prototype._destroy.call(this, err, function (err2) {\n    cb(err2);\n    _this2.emit('close');\n  });\n};\n\nfunction done(stream, er, data) {\n  if (er) return stream.emit('error', er);\n\n  if (data != null) // single equals check for both `null` and `undefined`\n    stream.push(data);\n\n  // if there's nothing in the write buffer, then that means\n  // that nothing more will ever be provided\n  if (stream._writableState.length) throw new Error('Calling transform done when ws.length != 0');\n\n  if (stream._transformState.transforming) throw new Error('Calling transform done when still transforming');\n\n  return stream.push(null);\n}","'use strict';\n\nvar asn1 = require('./asn1');\nvar aesid = require('./aesid.json');\nvar fixProc = require('./fixProc');\nvar ciphers = require('browserify-aes');\nvar compat = require('pbkdf2');\nvar Buffer = require('safe-buffer').Buffer;\n\nfunction decrypt(data, password) {\n\tvar salt = data.algorithm.decrypt.kde.kdeparams.salt;\n\tvar iters = parseInt(data.algorithm.decrypt.kde.kdeparams.iters.toString(), 10);\n\tvar algo = aesid[data.algorithm.decrypt.cipher.algo.join('.')];\n\tvar iv = data.algorithm.decrypt.cipher.iv;\n\tvar cipherText = data.subjectPrivateKey;\n\tvar keylen = parseInt(algo.split('-')[1], 10) / 8;\n\tvar key = compat.pbkdf2Sync(password, salt, iters, keylen, 'sha1');\n\tvar cipher = ciphers.createDecipheriv(algo, key, iv);\n\tvar out = [];\n\tout.push(cipher.update(cipherText));\n\tout.push(cipher['final']());\n\treturn Buffer.concat(out);\n}\n\nfunction parseKeys(buffer) {\n\tvar password;\n\tif (typeof buffer === 'object' && !Buffer.isBuffer(buffer)) {\n\t\tpassword = buffer.passphrase;\n\t\tbuffer = buffer.key;\n\t}\n\tif (typeof buffer === 'string') {\n\t\tbuffer = Buffer.from(buffer);\n\t}\n\n\tvar stripped = fixProc(buffer, password);\n\n\tvar type = stripped.tag;\n\tvar data = stripped.data;\n\tvar subtype, ndata;\n\tswitch (type) {\n\t\tcase 'CERTIFICATE':\n\t\t\tndata = asn1.certificate.decode(data, 'der').tbsCertificate.subjectPublicKeyInfo;\n\t\t\t// falls through\n\t\tcase 'PUBLIC KEY':\n\t\t\tif (!ndata) {\n\t\t\t\tndata = asn1.PublicKey.decode(data, 'der');\n\t\t\t}\n\t\t\tsubtype = ndata.algorithm.algorithm.join('.');\n\t\t\tswitch (subtype) {\n\t\t\t\tcase '1.2.840.113549.1.1.1':\n\t\t\t\t\treturn asn1.RSAPublicKey.decode(ndata.subjectPublicKey.data, 'der');\n\t\t\t\tcase '1.2.840.10045.2.1':\n\t\t\t\t\tndata.subjectPrivateKey = ndata.subjectPublicKey;\n\t\t\t\t\treturn {\n\t\t\t\t\t\ttype: 'ec',\n\t\t\t\t\t\tdata: ndata\n\t\t\t\t\t};\n\t\t\t\tcase '1.2.840.10040.4.1':\n\t\t\t\t\tndata.algorithm.params.pub_key = asn1.DSAparam.decode(ndata.subjectPublicKey.data, 'der');\n\t\t\t\t\treturn {\n\t\t\t\t\t\ttype: 'dsa',\n\t\t\t\t\t\tdata: ndata.algorithm.params\n\t\t\t\t\t};\n\t\t\t\tdefault: throw new Error('unknown key id ' + subtype);\n\t\t\t}\n\t\t\t// throw new Error('unknown key type ' + type)\n\t\tcase 'ENCRYPTED PRIVATE KEY':\n\t\t\tdata = asn1.EncryptedPrivateKey.decode(data, 'der');\n\t\t\tdata = decrypt(data, password);\n\t\t\t// falls through\n\t\tcase 'PRIVATE KEY':\n\t\t\tndata = asn1.PrivateKey.decode(data, 'der');\n\t\t\tsubtype = ndata.algorithm.algorithm.join('.');\n\t\t\tswitch (subtype) {\n\t\t\t\tcase '1.2.840.113549.1.1.1':\n\t\t\t\t\treturn asn1.RSAPrivateKey.decode(ndata.subjectPrivateKey, 'der');\n\t\t\t\tcase '1.2.840.10045.2.1':\n\t\t\t\t\treturn {\n\t\t\t\t\t\tcurve: ndata.algorithm.curve,\n\t\t\t\t\t\tprivateKey: asn1.ECPrivateKey.decode(ndata.subjectPrivateKey, 'der').privateKey\n\t\t\t\t\t};\n\t\t\t\tcase '1.2.840.10040.4.1':\n\t\t\t\t\tndata.algorithm.params.priv_key = asn1.DSAparam.decode(ndata.subjectPrivateKey, 'der');\n\t\t\t\t\treturn {\n\t\t\t\t\t\ttype: 'dsa',\n\t\t\t\t\t\tparams: ndata.algorithm.params\n\t\t\t\t\t};\n\t\t\t\tdefault: throw new Error('unknown key id ' + subtype);\n\t\t\t}\n\t\t\t// throw new Error('unknown key type ' + type)\n\t\tcase 'RSA PUBLIC KEY':\n\t\t\treturn asn1.RSAPublicKey.decode(data, 'der');\n\t\tcase 'RSA PRIVATE KEY':\n\t\t\treturn asn1.RSAPrivateKey.decode(data, 'der');\n\t\tcase 'DSA PRIVATE KEY':\n\t\t\treturn {\n\t\t\t\ttype: 'dsa',\n\t\t\t\tparams: asn1.DSAPrivateKey.decode(data, 'der')\n\t\t\t};\n\t\tcase 'EC PRIVATE KEY':\n\t\t\tdata = asn1.ECPrivateKey.decode(data, 'der');\n\t\t\treturn {\n\t\t\t\tcurve: data.parameters.value,\n\t\t\t\tprivateKey: data.privateKey\n\t\t\t};\n\t\tdefault: throw new Error('unknown key type ' + type);\n\t}\n}\nparseKeys.signature = asn1.signature;\n\nmodule.exports = parseKeys;\n","/* eslint-disable node/no-deprecated-api */\nvar buffer = require('buffer')\nvar Buffer = buffer.Buffer\n\n// alternative to using Object.keys for old browsers\nfunction copyProps (src, dst) {\n  for (var key in src) {\n    dst[key] = src[key]\n  }\n}\nif (Buffer.from && Buffer.alloc && Buffer.allocUnsafe && Buffer.allocUnsafeSlow) {\n  module.exports = buffer\n} else {\n  // Copy properties from require('buffer')\n  copyProps(buffer, exports)\n  exports.Buffer = SafeBuffer\n}\n\nfunction SafeBuffer (arg, encodingOrOffset, length) {\n  return Buffer(arg, encodingOrOffset, length)\n}\n\n// Copy static methods from Buffer\ncopyProps(Buffer, SafeBuffer)\n\nSafeBuffer.from = function (arg, encodingOrOffset, length) {\n  if (typeof arg === 'number') {\n    throw new TypeError('Argument must not be a number')\n  }\n  return Buffer(arg, encodingOrOffset, length)\n}\n\nSafeBuffer.alloc = function (size, fill, encoding) {\n  if (typeof size !== 'number') {\n    throw new TypeError('Argument must be a number')\n  }\n  var buf = Buffer(size)\n  if (fill !== undefined) {\n    if (typeof encoding === 'string') {\n      buf.fill(fill, encoding)\n    } else {\n      buf.fill(fill)\n    }\n  } else {\n    buf.fill(0)\n  }\n  return buf\n}\n\nSafeBuffer.allocUnsafe = function (size) {\n  if (typeof size !== 'number') {\n    throw new TypeError('Argument must be a number')\n  }\n  return Buffer(size)\n}\n\nSafeBuffer.allocUnsafeSlow = function (size) {\n  if (typeof size !== 'number') {\n    throw new TypeError('Argument must be a number')\n  }\n  return buffer.SlowBuffer(size)\n}\n","'use strict';\n\nvar utils = require('../utils');\nvar BN = require('bn.js');\nvar inherits = require('inherits');\nvar Base = require('./base');\n\nvar assert = utils.assert;\n\nfunction ShortCurve(conf) {\n  Base.call(this, 'short', conf);\n\n  this.a = new BN(conf.a, 16).toRed(this.red);\n  this.b = new BN(conf.b, 16).toRed(this.red);\n  this.tinv = this.two.redInvm();\n\n  this.zeroA = this.a.fromRed().cmpn(0) === 0;\n  this.threeA = this.a.fromRed().sub(this.p).cmpn(-3) === 0;\n\n  // If the curve is endomorphic, precalculate beta and lambda\n  this.endo = this._getEndomorphism(conf);\n  this._endoWnafT1 = new Array(4);\n  this._endoWnafT2 = new Array(4);\n}\ninherits(ShortCurve, Base);\nmodule.exports = ShortCurve;\n\nShortCurve.prototype._getEndomorphism = function _getEndomorphism(conf) {\n  // No efficient endomorphism\n  if (!this.zeroA || !this.g || !this.n || this.p.modn(3) !== 1)\n    return;\n\n  // Compute beta and lambda, that lambda * P = (beta * Px; Py)\n  var beta;\n  var lambda;\n  if (conf.beta) {\n    beta = new BN(conf.beta, 16).toRed(this.red);\n  } else {\n    var betas = this._getEndoRoots(this.p);\n    // Choose the smallest beta\n    beta = betas[0].cmp(betas[1]) < 0 ? betas[0] : betas[1];\n    beta = beta.toRed(this.red);\n  }\n  if (conf.lambda) {\n    lambda = new BN(conf.lambda, 16);\n  } else {\n    // Choose the lambda that is matching selected beta\n    var lambdas = this._getEndoRoots(this.n);\n    if (this.g.mul(lambdas[0]).x.cmp(this.g.x.redMul(beta)) === 0) {\n      lambda = lambdas[0];\n    } else {\n      lambda = lambdas[1];\n      assert(this.g.mul(lambda).x.cmp(this.g.x.redMul(beta)) === 0);\n    }\n  }\n\n  // Get basis vectors, used for balanced length-two representation\n  var basis;\n  if (conf.basis) {\n    basis = conf.basis.map(function(vec) {\n      return {\n        a: new BN(vec.a, 16),\n        b: new BN(vec.b, 16),\n      };\n    });\n  } else {\n    basis = this._getEndoBasis(lambda);\n  }\n\n  return {\n    beta: beta,\n    lambda: lambda,\n    basis: basis,\n  };\n};\n\nShortCurve.prototype._getEndoRoots = function _getEndoRoots(num) {\n  // Find roots of for x^2 + x + 1 in F\n  // Root = (-1 +- Sqrt(-3)) / 2\n  //\n  var red = num === this.p ? this.red : BN.mont(num);\n  var tinv = new BN(2).toRed(red).redInvm();\n  var ntinv = tinv.redNeg();\n\n  var s = new BN(3).toRed(red).redNeg().redSqrt().redMul(tinv);\n\n  var l1 = ntinv.redAdd(s).fromRed();\n  var l2 = ntinv.redSub(s).fromRed();\n  return [ l1, l2 ];\n};\n\nShortCurve.prototype._getEndoBasis = function _getEndoBasis(lambda) {\n  // aprxSqrt >= sqrt(this.n)\n  var aprxSqrt = this.n.ushrn(Math.floor(this.n.bitLength() / 2));\n\n  // 3.74\n  // Run EGCD, until r(L + 1) < aprxSqrt\n  var u = lambda;\n  var v = this.n.clone();\n  var x1 = new BN(1);\n  var y1 = new BN(0);\n  var x2 = new BN(0);\n  var y2 = new BN(1);\n\n  // NOTE: all vectors are roots of: a + b * lambda = 0 (mod n)\n  var a0;\n  var b0;\n  // First vector\n  var a1;\n  var b1;\n  // Second vector\n  var a2;\n  var b2;\n\n  var prevR;\n  var i = 0;\n  var r;\n  var x;\n  while (u.cmpn(0) !== 0) {\n    var q = v.div(u);\n    r = v.sub(q.mul(u));\n    x = x2.sub(q.mul(x1));\n    var y = y2.sub(q.mul(y1));\n\n    if (!a1 && r.cmp(aprxSqrt) < 0) {\n      a0 = prevR.neg();\n      b0 = x1;\n      a1 = r.neg();\n      b1 = x;\n    } else if (a1 && ++i === 2) {\n      break;\n    }\n    prevR = r;\n\n    v = u;\n    u = r;\n    x2 = x1;\n    x1 = x;\n    y2 = y1;\n    y1 = y;\n  }\n  a2 = r.neg();\n  b2 = x;\n\n  var len1 = a1.sqr().add(b1.sqr());\n  var len2 = a2.sqr().add(b2.sqr());\n  if (len2.cmp(len1) >= 0) {\n    a2 = a0;\n    b2 = b0;\n  }\n\n  // Normalize signs\n  if (a1.negative) {\n    a1 = a1.neg();\n    b1 = b1.neg();\n  }\n  if (a2.negative) {\n    a2 = a2.neg();\n    b2 = b2.neg();\n  }\n\n  return [\n    { a: a1, b: b1 },\n    { a: a2, b: b2 },\n  ];\n};\n\nShortCurve.prototype._endoSplit = function _endoSplit(k) {\n  var basis = this.endo.basis;\n  var v1 = basis[0];\n  var v2 = basis[1];\n\n  var c1 = v2.b.mul(k).divRound(this.n);\n  var c2 = v1.b.neg().mul(k).divRound(this.n);\n\n  var p1 = c1.mul(v1.a);\n  var p2 = c2.mul(v2.a);\n  var q1 = c1.mul(v1.b);\n  var q2 = c2.mul(v2.b);\n\n  // Calculate answer\n  var k1 = k.sub(p1).sub(p2);\n  var k2 = q1.add(q2).neg();\n  return { k1: k1, k2: k2 };\n};\n\nShortCurve.prototype.pointFromX = function pointFromX(x, odd) {\n  x = new BN(x, 16);\n  if (!x.red)\n    x = x.toRed(this.red);\n\n  var y2 = x.redSqr().redMul(x).redIAdd(x.redMul(this.a)).redIAdd(this.b);\n  var y = y2.redSqrt();\n  if (y.redSqr().redSub(y2).cmp(this.zero) !== 0)\n    throw new Error('invalid point');\n\n  // XXX Is there any way to tell if the number is odd without converting it\n  // to non-red form?\n  var isOdd = y.fromRed().isOdd();\n  if (odd && !isOdd || !odd && isOdd)\n    y = y.redNeg();\n\n  return this.point(x, y);\n};\n\nShortCurve.prototype.validate = function validate(point) {\n  if (point.inf)\n    return true;\n\n  var x = point.x;\n  var y = point.y;\n\n  var ax = this.a.redMul(x);\n  var rhs = x.redSqr().redMul(x).redIAdd(ax).redIAdd(this.b);\n  return y.redSqr().redISub(rhs).cmpn(0) === 0;\n};\n\nShortCurve.prototype._endoWnafMulAdd =\n    function _endoWnafMulAdd(points, coeffs, jacobianResult) {\n      var npoints = this._endoWnafT1;\n      var ncoeffs = this._endoWnafT2;\n      for (var i = 0; i < points.length; i++) {\n        var split = this._endoSplit(coeffs[i]);\n        var p = points[i];\n        var beta = p._getBeta();\n\n        if (split.k1.negative) {\n          split.k1.ineg();\n          p = p.neg(true);\n        }\n        if (split.k2.negative) {\n          split.k2.ineg();\n          beta = beta.neg(true);\n        }\n\n        npoints[i * 2] = p;\n        npoints[i * 2 + 1] = beta;\n        ncoeffs[i * 2] = split.k1;\n        ncoeffs[i * 2 + 1] = split.k2;\n      }\n      var res = this._wnafMulAdd(1, npoints, ncoeffs, i * 2, jacobianResult);\n\n      // Clean-up references to points and coefficients\n      for (var j = 0; j < i * 2; j++) {\n        npoints[j] = null;\n        ncoeffs[j] = null;\n      }\n      return res;\n    };\n\nfunction Point(curve, x, y, isRed) {\n  Base.BasePoint.call(this, curve, 'affine');\n  if (x === null && y === null) {\n    this.x = null;\n    this.y = null;\n    this.inf = true;\n  } else {\n    this.x = new BN(x, 16);\n    this.y = new BN(y, 16);\n    // Force redgomery representation when loading from JSON\n    if (isRed) {\n      this.x.forceRed(this.curve.red);\n      this.y.forceRed(this.curve.red);\n    }\n    if (!this.x.red)\n      this.x = this.x.toRed(this.curve.red);\n    if (!this.y.red)\n      this.y = this.y.toRed(this.curve.red);\n    this.inf = false;\n  }\n}\ninherits(Point, Base.BasePoint);\n\nShortCurve.prototype.point = function point(x, y, isRed) {\n  return new Point(this, x, y, isRed);\n};\n\nShortCurve.prototype.pointFromJSON = function pointFromJSON(obj, red) {\n  return Point.fromJSON(this, obj, red);\n};\n\nPoint.prototype._getBeta = function _getBeta() {\n  if (!this.curve.endo)\n    return;\n\n  var pre = this.precomputed;\n  if (pre && pre.beta)\n    return pre.beta;\n\n  var beta = this.curve.point(this.x.redMul(this.curve.endo.beta), this.y);\n  if (pre) {\n    var curve = this.curve;\n    var endoMul = function(p) {\n      return curve.point(p.x.redMul(curve.endo.beta), p.y);\n    };\n    pre.beta = beta;\n    beta.precomputed = {\n      beta: null,\n      naf: pre.naf && {\n        wnd: pre.naf.wnd,\n        points: pre.naf.points.map(endoMul),\n      },\n      doubles: pre.doubles && {\n        step: pre.doubles.step,\n        points: pre.doubles.points.map(endoMul),\n      },\n    };\n  }\n  return beta;\n};\n\nPoint.prototype.toJSON = function toJSON() {\n  if (!this.precomputed)\n    return [ this.x, this.y ];\n\n  return [ this.x, this.y, this.precomputed && {\n    doubles: this.precomputed.doubles && {\n      step: this.precomputed.doubles.step,\n      points: this.precomputed.doubles.points.slice(1),\n    },\n    naf: this.precomputed.naf && {\n      wnd: this.precomputed.naf.wnd,\n      points: this.precomputed.naf.points.slice(1),\n    },\n  } ];\n};\n\nPoint.fromJSON = function fromJSON(curve, obj, red) {\n  if (typeof obj === 'string')\n    obj = JSON.parse(obj);\n  var res = curve.point(obj[0], obj[1], red);\n  if (!obj[2])\n    return res;\n\n  function obj2point(obj) {\n    return curve.point(obj[0], obj[1], red);\n  }\n\n  var pre = obj[2];\n  res.precomputed = {\n    beta: null,\n    doubles: pre.doubles && {\n      step: pre.doubles.step,\n      points: [ res ].concat(pre.doubles.points.map(obj2point)),\n    },\n    naf: pre.naf && {\n      wnd: pre.naf.wnd,\n      points: [ res ].concat(pre.naf.points.map(obj2point)),\n    },\n  };\n  return res;\n};\n\nPoint.prototype.inspect = function inspect() {\n  if (this.isInfinity())\n    return '<EC Point Infinity>';\n  return '<EC Point x: ' + this.x.fromRed().toString(16, 2) +\n      ' y: ' + this.y.fromRed().toString(16, 2) + '>';\n};\n\nPoint.prototype.isInfinity = function isInfinity() {\n  return this.inf;\n};\n\nPoint.prototype.add = function add(p) {\n  // O + P = P\n  if (this.inf)\n    return p;\n\n  // P + O = P\n  if (p.inf)\n    return this;\n\n  // P + P = 2P\n  if (this.eq(p))\n    return this.dbl();\n\n  // P + (-P) = O\n  if (this.neg().eq(p))\n    return this.curve.point(null, null);\n\n  // P + Q = O\n  if (this.x.cmp(p.x) === 0)\n    return this.curve.point(null, null);\n\n  var c = this.y.redSub(p.y);\n  if (c.cmpn(0) !== 0)\n    c = c.redMul(this.x.redSub(p.x).redInvm());\n  var nx = c.redSqr().redISub(this.x).redISub(p.x);\n  var ny = c.redMul(this.x.redSub(nx)).redISub(this.y);\n  return this.curve.point(nx, ny);\n};\n\nPoint.prototype.dbl = function dbl() {\n  if (this.inf)\n    return this;\n\n  // 2P = O\n  var ys1 = this.y.redAdd(this.y);\n  if (ys1.cmpn(0) === 0)\n    return this.curve.point(null, null);\n\n  var a = this.curve.a;\n\n  var x2 = this.x.redSqr();\n  var dyinv = ys1.redInvm();\n  var c = x2.redAdd(x2).redIAdd(x2).redIAdd(a).redMul(dyinv);\n\n  var nx = c.redSqr().redISub(this.x.redAdd(this.x));\n  var ny = c.redMul(this.x.redSub(nx)).redISub(this.y);\n  return this.curve.point(nx, ny);\n};\n\nPoint.prototype.getX = function getX() {\n  return this.x.fromRed();\n};\n\nPoint.prototype.getY = function getY() {\n  return this.y.fromRed();\n};\n\nPoint.prototype.mul = function mul(k) {\n  k = new BN(k, 16);\n  if (this.isInfinity())\n    return this;\n  else if (this._hasDoubles(k))\n    return this.curve._fixedNafMul(this, k);\n  else if (this.curve.endo)\n    return this.curve._endoWnafMulAdd([ this ], [ k ]);\n  else\n    return this.curve._wnafMul(this, k);\n};\n\nPoint.prototype.mulAdd = function mulAdd(k1, p2, k2) {\n  var points = [ this, p2 ];\n  var coeffs = [ k1, k2 ];\n  if (this.curve.endo)\n    return this.curve._endoWnafMulAdd(points, coeffs);\n  else\n    return this.curve._wnafMulAdd(1, points, coeffs, 2);\n};\n\nPoint.prototype.jmulAdd = function jmulAdd(k1, p2, k2) {\n  var points = [ this, p2 ];\n  var coeffs = [ k1, k2 ];\n  if (this.curve.endo)\n    return this.curve._endoWnafMulAdd(points, coeffs, true);\n  else\n    return this.curve._wnafMulAdd(1, points, coeffs, 2, true);\n};\n\nPoint.prototype.eq = function eq(p) {\n  return this === p ||\n         this.inf === p.inf &&\n             (this.inf || this.x.cmp(p.x) === 0 && this.y.cmp(p.y) === 0);\n};\n\nPoint.prototype.neg = function neg(_precompute) {\n  if (this.inf)\n    return this;\n\n  var res = this.curve.point(this.x, this.y.redNeg());\n  if (_precompute && this.precomputed) {\n    var pre = this.precomputed;\n    var negate = function(p) {\n      return p.neg();\n    };\n    res.precomputed = {\n      naf: pre.naf && {\n        wnd: pre.naf.wnd,\n        points: pre.naf.points.map(negate),\n      },\n      doubles: pre.doubles && {\n        step: pre.doubles.step,\n        points: pre.doubles.points.map(negate),\n      },\n    };\n  }\n  return res;\n};\n\nPoint.prototype.toJ = function toJ() {\n  if (this.inf)\n    return this.curve.jpoint(null, null, null);\n\n  var res = this.curve.jpoint(this.x, this.y, this.curve.one);\n  return res;\n};\n\nfunction JPoint(curve, x, y, z) {\n  Base.BasePoint.call(this, curve, 'jacobian');\n  if (x === null && y === null && z === null) {\n    this.x = this.curve.one;\n    this.y = this.curve.one;\n    this.z = new BN(0);\n  } else {\n    this.x = new BN(x, 16);\n    this.y = new BN(y, 16);\n    this.z = new BN(z, 16);\n  }\n  if (!this.x.red)\n    this.x = this.x.toRed(this.curve.red);\n  if (!this.y.red)\n    this.y = this.y.toRed(this.curve.red);\n  if (!this.z.red)\n    this.z = this.z.toRed(this.curve.red);\n\n  this.zOne = this.z === this.curve.one;\n}\ninherits(JPoint, Base.BasePoint);\n\nShortCurve.prototype.jpoint = function jpoint(x, y, z) {\n  return new JPoint(this, x, y, z);\n};\n\nJPoint.prototype.toP = function toP() {\n  if (this.isInfinity())\n    return this.curve.point(null, null);\n\n  var zinv = this.z.redInvm();\n  var zinv2 = zinv.redSqr();\n  var ax = this.x.redMul(zinv2);\n  var ay = this.y.redMul(zinv2).redMul(zinv);\n\n  return this.curve.point(ax, ay);\n};\n\nJPoint.prototype.neg = function neg() {\n  return this.curve.jpoint(this.x, this.y.redNeg(), this.z);\n};\n\nJPoint.prototype.add = function add(p) {\n  // O + P = P\n  if (this.isInfinity())\n    return p;\n\n  // P + O = P\n  if (p.isInfinity())\n    return this;\n\n  // 12M + 4S + 7A\n  var pz2 = p.z.redSqr();\n  var z2 = this.z.redSqr();\n  var u1 = this.x.redMul(pz2);\n  var u2 = p.x.redMul(z2);\n  var s1 = this.y.redMul(pz2.redMul(p.z));\n  var s2 = p.y.redMul(z2.redMul(this.z));\n\n  var h = u1.redSub(u2);\n  var r = s1.redSub(s2);\n  if (h.cmpn(0) === 0) {\n    if (r.cmpn(0) !== 0)\n      return this.curve.jpoint(null, null, null);\n    else\n      return this.dbl();\n  }\n\n  var h2 = h.redSqr();\n  var h3 = h2.redMul(h);\n  var v = u1.redMul(h2);\n\n  var nx = r.redSqr().redIAdd(h3).redISub(v).redISub(v);\n  var ny = r.redMul(v.redISub(nx)).redISub(s1.redMul(h3));\n  var nz = this.z.redMul(p.z).redMul(h);\n\n  return this.curve.jpoint(nx, ny, nz);\n};\n\nJPoint.prototype.mixedAdd = function mixedAdd(p) {\n  // O + P = P\n  if (this.isInfinity())\n    return p.toJ();\n\n  // P + O = P\n  if (p.isInfinity())\n    return this;\n\n  // 8M + 3S + 7A\n  var z2 = this.z.redSqr();\n  var u1 = this.x;\n  var u2 = p.x.redMul(z2);\n  var s1 = this.y;\n  var s2 = p.y.redMul(z2).redMul(this.z);\n\n  var h = u1.redSub(u2);\n  var r = s1.redSub(s2);\n  if (h.cmpn(0) === 0) {\n    if (r.cmpn(0) !== 0)\n      return this.curve.jpoint(null, null, null);\n    else\n      return this.dbl();\n  }\n\n  var h2 = h.redSqr();\n  var h3 = h2.redMul(h);\n  var v = u1.redMul(h2);\n\n  var nx = r.redSqr().redIAdd(h3).redISub(v).redISub(v);\n  var ny = r.redMul(v.redISub(nx)).redISub(s1.redMul(h3));\n  var nz = this.z.redMul(h);\n\n  return this.curve.jpoint(nx, ny, nz);\n};\n\nJPoint.prototype.dblp = function dblp(pow) {\n  if (pow === 0)\n    return this;\n  if (this.isInfinity())\n    return this;\n  if (!pow)\n    return this.dbl();\n\n  var i;\n  if (this.curve.zeroA || this.curve.threeA) {\n    var r = this;\n    for (i = 0; i < pow; i++)\n      r = r.dbl();\n    return r;\n  }\n\n  // 1M + 2S + 1A + N * (4S + 5M + 8A)\n  // N = 1 => 6M + 6S + 9A\n  var a = this.curve.a;\n  var tinv = this.curve.tinv;\n\n  var jx = this.x;\n  var jy = this.y;\n  var jz = this.z;\n  var jz4 = jz.redSqr().redSqr();\n\n  // Reuse results\n  var jyd = jy.redAdd(jy);\n  for (i = 0; i < pow; i++) {\n    var jx2 = jx.redSqr();\n    var jyd2 = jyd.redSqr();\n    var jyd4 = jyd2.redSqr();\n    var c = jx2.redAdd(jx2).redIAdd(jx2).redIAdd(a.redMul(jz4));\n\n    var t1 = jx.redMul(jyd2);\n    var nx = c.redSqr().redISub(t1.redAdd(t1));\n    var t2 = t1.redISub(nx);\n    var dny = c.redMul(t2);\n    dny = dny.redIAdd(dny).redISub(jyd4);\n    var nz = jyd.redMul(jz);\n    if (i + 1 < pow)\n      jz4 = jz4.redMul(jyd4);\n\n    jx = nx;\n    jz = nz;\n    jyd = dny;\n  }\n\n  return this.curve.jpoint(jx, jyd.redMul(tinv), jz);\n};\n\nJPoint.prototype.dbl = function dbl() {\n  if (this.isInfinity())\n    return this;\n\n  if (this.curve.zeroA)\n    return this._zeroDbl();\n  else if (this.curve.threeA)\n    return this._threeDbl();\n  else\n    return this._dbl();\n};\n\nJPoint.prototype._zeroDbl = function _zeroDbl() {\n  var nx;\n  var ny;\n  var nz;\n  // Z = 1\n  if (this.zOne) {\n    // hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html\n    //     #doubling-mdbl-2007-bl\n    // 1M + 5S + 14A\n\n    // XX = X1^2\n    var xx = this.x.redSqr();\n    // YY = Y1^2\n    var yy = this.y.redSqr();\n    // YYYY = YY^2\n    var yyyy = yy.redSqr();\n    // S = 2 * ((X1 + YY)^2 - XX - YYYY)\n    var s = this.x.redAdd(yy).redSqr().redISub(xx).redISub(yyyy);\n    s = s.redIAdd(s);\n    // M = 3 * XX + a; a = 0\n    var m = xx.redAdd(xx).redIAdd(xx);\n    // T = M ^ 2 - 2*S\n    var t = m.redSqr().redISub(s).redISub(s);\n\n    // 8 * YYYY\n    var yyyy8 = yyyy.redIAdd(yyyy);\n    yyyy8 = yyyy8.redIAdd(yyyy8);\n    yyyy8 = yyyy8.redIAdd(yyyy8);\n\n    // X3 = T\n    nx = t;\n    // Y3 = M * (S - T) - 8 * YYYY\n    ny = m.redMul(s.redISub(t)).redISub(yyyy8);\n    // Z3 = 2*Y1\n    nz = this.y.redAdd(this.y);\n  } else {\n    // hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html\n    //     #doubling-dbl-2009-l\n    // 2M + 5S + 13A\n\n    // A = X1^2\n    var a = this.x.redSqr();\n    // B = Y1^2\n    var b = this.y.redSqr();\n    // C = B^2\n    var c = b.redSqr();\n    // D = 2 * ((X1 + B)^2 - A - C)\n    var d = this.x.redAdd(b).redSqr().redISub(a).redISub(c);\n    d = d.redIAdd(d);\n    // E = 3 * A\n    var e = a.redAdd(a).redIAdd(a);\n    // F = E^2\n    var f = e.redSqr();\n\n    // 8 * C\n    var c8 = c.redIAdd(c);\n    c8 = c8.redIAdd(c8);\n    c8 = c8.redIAdd(c8);\n\n    // X3 = F - 2 * D\n    nx = f.redISub(d).redISub(d);\n    // Y3 = E * (D - X3) - 8 * C\n    ny = e.redMul(d.redISub(nx)).redISub(c8);\n    // Z3 = 2 * Y1 * Z1\n    nz = this.y.redMul(this.z);\n    nz = nz.redIAdd(nz);\n  }\n\n  return this.curve.jpoint(nx, ny, nz);\n};\n\nJPoint.prototype._threeDbl = function _threeDbl() {\n  var nx;\n  var ny;\n  var nz;\n  // Z = 1\n  if (this.zOne) {\n    // hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-3.html\n    //     #doubling-mdbl-2007-bl\n    // 1M + 5S + 15A\n\n    // XX = X1^2\n    var xx = this.x.redSqr();\n    // YY = Y1^2\n    var yy = this.y.redSqr();\n    // YYYY = YY^2\n    var yyyy = yy.redSqr();\n    // S = 2 * ((X1 + YY)^2 - XX - YYYY)\n    var s = this.x.redAdd(yy).redSqr().redISub(xx).redISub(yyyy);\n    s = s.redIAdd(s);\n    // M = 3 * XX + a\n    var m = xx.redAdd(xx).redIAdd(xx).redIAdd(this.curve.a);\n    // T = M^2 - 2 * S\n    var t = m.redSqr().redISub(s).redISub(s);\n    // X3 = T\n    nx = t;\n    // Y3 = M * (S - T) - 8 * YYYY\n    var yyyy8 = yyyy.redIAdd(yyyy);\n    yyyy8 = yyyy8.redIAdd(yyyy8);\n    yyyy8 = yyyy8.redIAdd(yyyy8);\n    ny = m.redMul(s.redISub(t)).redISub(yyyy8);\n    // Z3 = 2 * Y1\n    nz = this.y.redAdd(this.y);\n  } else {\n    // hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-3.html#doubling-dbl-2001-b\n    // 3M + 5S\n\n    // delta = Z1^2\n    var delta = this.z.redSqr();\n    // gamma = Y1^2\n    var gamma = this.y.redSqr();\n    // beta = X1 * gamma\n    var beta = this.x.redMul(gamma);\n    // alpha = 3 * (X1 - delta) * (X1 + delta)\n    var alpha = this.x.redSub(delta).redMul(this.x.redAdd(delta));\n    alpha = alpha.redAdd(alpha).redIAdd(alpha);\n    // X3 = alpha^2 - 8 * beta\n    var beta4 = beta.redIAdd(beta);\n    beta4 = beta4.redIAdd(beta4);\n    var beta8 = beta4.redAdd(beta4);\n    nx = alpha.redSqr().redISub(beta8);\n    // Z3 = (Y1 + Z1)^2 - gamma - delta\n    nz = this.y.redAdd(this.z).redSqr().redISub(gamma).redISub(delta);\n    // Y3 = alpha * (4 * beta - X3) - 8 * gamma^2\n    var ggamma8 = gamma.redSqr();\n    ggamma8 = ggamma8.redIAdd(ggamma8);\n    ggamma8 = ggamma8.redIAdd(ggamma8);\n    ggamma8 = ggamma8.redIAdd(ggamma8);\n    ny = alpha.redMul(beta4.redISub(nx)).redISub(ggamma8);\n  }\n\n  return this.curve.jpoint(nx, ny, nz);\n};\n\nJPoint.prototype._dbl = function _dbl() {\n  var a = this.curve.a;\n\n  // 4M + 6S + 10A\n  var jx = this.x;\n  var jy = this.y;\n  var jz = this.z;\n  var jz4 = jz.redSqr().redSqr();\n\n  var jx2 = jx.redSqr();\n  var jy2 = jy.redSqr();\n\n  var c = jx2.redAdd(jx2).redIAdd(jx2).redIAdd(a.redMul(jz4));\n\n  var jxd4 = jx.redAdd(jx);\n  jxd4 = jxd4.redIAdd(jxd4);\n  var t1 = jxd4.redMul(jy2);\n  var nx = c.redSqr().redISub(t1.redAdd(t1));\n  var t2 = t1.redISub(nx);\n\n  var jyd8 = jy2.redSqr();\n  jyd8 = jyd8.redIAdd(jyd8);\n  jyd8 = jyd8.redIAdd(jyd8);\n  jyd8 = jyd8.redIAdd(jyd8);\n  var ny = c.redMul(t2).redISub(jyd8);\n  var nz = jy.redAdd(jy).redMul(jz);\n\n  return this.curve.jpoint(nx, ny, nz);\n};\n\nJPoint.prototype.trpl = function trpl() {\n  if (!this.curve.zeroA)\n    return this.dbl().add(this);\n\n  // hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#tripling-tpl-2007-bl\n  // 5M + 10S + ...\n\n  // XX = X1^2\n  var xx = this.x.redSqr();\n  // YY = Y1^2\n  var yy = this.y.redSqr();\n  // ZZ = Z1^2\n  var zz = this.z.redSqr();\n  // YYYY = YY^2\n  var yyyy = yy.redSqr();\n  // M = 3 * XX + a * ZZ2; a = 0\n  var m = xx.redAdd(xx).redIAdd(xx);\n  // MM = M^2\n  var mm = m.redSqr();\n  // E = 6 * ((X1 + YY)^2 - XX - YYYY) - MM\n  var e = this.x.redAdd(yy).redSqr().redISub(xx).redISub(yyyy);\n  e = e.redIAdd(e);\n  e = e.redAdd(e).redIAdd(e);\n  e = e.redISub(mm);\n  // EE = E^2\n  var ee = e.redSqr();\n  // T = 16*YYYY\n  var t = yyyy.redIAdd(yyyy);\n  t = t.redIAdd(t);\n  t = t.redIAdd(t);\n  t = t.redIAdd(t);\n  // U = (M + E)^2 - MM - EE - T\n  var u = m.redIAdd(e).redSqr().redISub(mm).redISub(ee).redISub(t);\n  // X3 = 4 * (X1 * EE - 4 * YY * U)\n  var yyu4 = yy.redMul(u);\n  yyu4 = yyu4.redIAdd(yyu4);\n  yyu4 = yyu4.redIAdd(yyu4);\n  var nx = this.x.redMul(ee).redISub(yyu4);\n  nx = nx.redIAdd(nx);\n  nx = nx.redIAdd(nx);\n  // Y3 = 8 * Y1 * (U * (T - U) - E * EE)\n  var ny = this.y.redMul(u.redMul(t.redISub(u)).redISub(e.redMul(ee)));\n  ny = ny.redIAdd(ny);\n  ny = ny.redIAdd(ny);\n  ny = ny.redIAdd(ny);\n  // Z3 = (Z1 + E)^2 - ZZ - EE\n  var nz = this.z.redAdd(e).redSqr().redISub(zz).redISub(ee);\n\n  return this.curve.jpoint(nx, ny, nz);\n};\n\nJPoint.prototype.mul = function mul(k, kbase) {\n  k = new BN(k, kbase);\n\n  return this.curve._wnafMul(this, k);\n};\n\nJPoint.prototype.eq = function eq(p) {\n  if (p.type === 'affine')\n    return this.eq(p.toJ());\n\n  if (this === p)\n    return true;\n\n  // x1 * z2^2 == x2 * z1^2\n  var z2 = this.z.redSqr();\n  var pz2 = p.z.redSqr();\n  if (this.x.redMul(pz2).redISub(p.x.redMul(z2)).cmpn(0) !== 0)\n    return false;\n\n  // y1 * z2^3 == y2 * z1^3\n  var z3 = z2.redMul(this.z);\n  var pz3 = pz2.redMul(p.z);\n  return this.y.redMul(pz3).redISub(p.y.redMul(z3)).cmpn(0) === 0;\n};\n\nJPoint.prototype.eqXToP = function eqXToP(x) {\n  var zs = this.z.redSqr();\n  var rx = x.toRed(this.curve.red).redMul(zs);\n  if (this.x.cmp(rx) === 0)\n    return true;\n\n  var xc = x.clone();\n  var t = this.curve.redN.redMul(zs);\n  for (;;) {\n    xc.iadd(this.curve.n);\n    if (xc.cmp(this.curve.p) >= 0)\n      return false;\n\n    rx.redIAdd(t);\n    if (this.x.cmp(rx) === 0)\n      return true;\n  }\n};\n\nJPoint.prototype.inspect = function inspect() {\n  if (this.isInfinity())\n    return '<EC JPoint Infinity>';\n  return '<EC JPoint x: ' + this.x.toString(16, 2) +\n      ' y: ' + this.y.toString(16, 2) +\n      ' z: ' + this.z.toString(16, 2) + '>';\n};\n\nJPoint.prototype.isInfinity = function isInfinity() {\n  // XXX This code assumes that zero is always zero in red\n  return this.z.cmpn(0) === 0;\n};\n","'use strict';\n\nvar BN = require('bn.js');\nvar utils = require('../utils');\nvar getNAF = utils.getNAF;\nvar getJSF = utils.getJSF;\nvar assert = utils.assert;\n\nfunction BaseCurve(type, conf) {\n  this.type = type;\n  this.p = new BN(conf.p, 16);\n\n  // Use Montgomery, when there is no fast reduction for the prime\n  this.red = conf.prime ? BN.red(conf.prime) : BN.mont(this.p);\n\n  // Useful for many curves\n  this.zero = new BN(0).toRed(this.red);\n  this.one = new BN(1).toRed(this.red);\n  this.two = new BN(2).toRed(this.red);\n\n  // Curve configuration, optional\n  this.n = conf.n && new BN(conf.n, 16);\n  this.g = conf.g && this.pointFromJSON(conf.g, conf.gRed);\n\n  // Temporary arrays\n  this._wnafT1 = new Array(4);\n  this._wnafT2 = new Array(4);\n  this._wnafT3 = new Array(4);\n  this._wnafT4 = new Array(4);\n\n  this._bitLength = this.n ? this.n.bitLength() : 0;\n\n  // Generalized Greg Maxwell's trick\n  var adjustCount = this.n && this.p.div(this.n);\n  if (!adjustCount || adjustCount.cmpn(100) > 0) {\n    this.redN = null;\n  } else {\n    this._maxwellTrick = true;\n    this.redN = this.n.toRed(this.red);\n  }\n}\nmodule.exports = BaseCurve;\n\nBaseCurve.prototype.point = function point() {\n  throw new Error('Not implemented');\n};\n\nBaseCurve.prototype.validate = function validate() {\n  throw new Error('Not implemented');\n};\n\nBaseCurve.prototype._fixedNafMul = function _fixedNafMul(p, k) {\n  assert(p.precomputed);\n  var doubles = p._getDoubles();\n\n  var naf = getNAF(k, 1, this._bitLength);\n  var I = (1 << (doubles.step + 1)) - (doubles.step % 2 === 0 ? 2 : 1);\n  I /= 3;\n\n  // Translate into more windowed form\n  var repr = [];\n  var j;\n  var nafW;\n  for (j = 0; j < naf.length; j += doubles.step) {\n    nafW = 0;\n    for (var l = j + doubles.step - 1; l >= j; l--)\n      nafW = (nafW << 1) + naf[l];\n    repr.push(nafW);\n  }\n\n  var a = this.jpoint(null, null, null);\n  var b = this.jpoint(null, null, null);\n  for (var i = I; i > 0; i--) {\n    for (j = 0; j < repr.length; j++) {\n      nafW = repr[j];\n      if (nafW === i)\n        b = b.mixedAdd(doubles.points[j]);\n      else if (nafW === -i)\n        b = b.mixedAdd(doubles.points[j].neg());\n    }\n    a = a.add(b);\n  }\n  return a.toP();\n};\n\nBaseCurve.prototype._wnafMul = function _wnafMul(p, k) {\n  var w = 4;\n\n  // Precompute window\n  var nafPoints = p._getNAFPoints(w);\n  w = nafPoints.wnd;\n  var wnd = nafPoints.points;\n\n  // Get NAF form\n  var naf = getNAF(k, w, this._bitLength);\n\n  // Add `this`*(N+1) for every w-NAF index\n  var acc = this.jpoint(null, null, null);\n  for (var i = naf.length - 1; i >= 0; i--) {\n    // Count zeroes\n    for (var l = 0; i >= 0 && naf[i] === 0; i--)\n      l++;\n    if (i >= 0)\n      l++;\n    acc = acc.dblp(l);\n\n    if (i < 0)\n      break;\n    var z = naf[i];\n    assert(z !== 0);\n    if (p.type === 'affine') {\n      // J +- P\n      if (z > 0)\n        acc = acc.mixedAdd(wnd[(z - 1) >> 1]);\n      else\n        acc = acc.mixedAdd(wnd[(-z - 1) >> 1].neg());\n    } else {\n      // J +- J\n      if (z > 0)\n        acc = acc.add(wnd[(z - 1) >> 1]);\n      else\n        acc = acc.add(wnd[(-z - 1) >> 1].neg());\n    }\n  }\n  return p.type === 'affine' ? acc.toP() : acc;\n};\n\nBaseCurve.prototype._wnafMulAdd = function _wnafMulAdd(defW,\n  points,\n  coeffs,\n  len,\n  jacobianResult) {\n  var wndWidth = this._wnafT1;\n  var wnd = this._wnafT2;\n  var naf = this._wnafT3;\n\n  // Fill all arrays\n  var max = 0;\n  var i;\n  var j;\n  var p;\n  for (i = 0; i < len; i++) {\n    p = points[i];\n    var nafPoints = p._getNAFPoints(defW);\n    wndWidth[i] = nafPoints.wnd;\n    wnd[i] = nafPoints.points;\n  }\n\n  // Comb small window NAFs\n  for (i = len - 1; i >= 1; i -= 2) {\n    var a = i - 1;\n    var b = i;\n    if (wndWidth[a] !== 1 || wndWidth[b] !== 1) {\n      naf[a] = getNAF(coeffs[a], wndWidth[a], this._bitLength);\n      naf[b] = getNAF(coeffs[b], wndWidth[b], this._bitLength);\n      max = Math.max(naf[a].length, max);\n      max = Math.max(naf[b].length, max);\n      continue;\n    }\n\n    var comb = [\n      points[a], /* 1 */\n      null, /* 3 */\n      null, /* 5 */\n      points[b], /* 7 */\n    ];\n\n    // Try to avoid Projective points, if possible\n    if (points[a].y.cmp(points[b].y) === 0) {\n      comb[1] = points[a].add(points[b]);\n      comb[2] = points[a].toJ().mixedAdd(points[b].neg());\n    } else if (points[a].y.cmp(points[b].y.redNeg()) === 0) {\n      comb[1] = points[a].toJ().mixedAdd(points[b]);\n      comb[2] = points[a].add(points[b].neg());\n    } else {\n      comb[1] = points[a].toJ().mixedAdd(points[b]);\n      comb[2] = points[a].toJ().mixedAdd(points[b].neg());\n    }\n\n    var index = [\n      -3, /* -1 -1 */\n      -1, /* -1 0 */\n      -5, /* -1 1 */\n      -7, /* 0 -1 */\n      0, /* 0 0 */\n      7, /* 0 1 */\n      5, /* 1 -1 */\n      1, /* 1 0 */\n      3,  /* 1 1 */\n    ];\n\n    var jsf = getJSF(coeffs[a], coeffs[b]);\n    max = Math.max(jsf[0].length, max);\n    naf[a] = new Array(max);\n    naf[b] = new Array(max);\n    for (j = 0; j < max; j++) {\n      var ja = jsf[0][j] | 0;\n      var jb = jsf[1][j] | 0;\n\n      naf[a][j] = index[(ja + 1) * 3 + (jb + 1)];\n      naf[b][j] = 0;\n      wnd[a] = comb;\n    }\n  }\n\n  var acc = this.jpoint(null, null, null);\n  var tmp = this._wnafT4;\n  for (i = max; i >= 0; i--) {\n    var k = 0;\n\n    while (i >= 0) {\n      var zero = true;\n      for (j = 0; j < len; j++) {\n        tmp[j] = naf[j][i] | 0;\n        if (tmp[j] !== 0)\n          zero = false;\n      }\n      if (!zero)\n        break;\n      k++;\n      i--;\n    }\n    if (i >= 0)\n      k++;\n    acc = acc.dblp(k);\n    if (i < 0)\n      break;\n\n    for (j = 0; j < len; j++) {\n      var z = tmp[j];\n      p;\n      if (z === 0)\n        continue;\n      else if (z > 0)\n        p = wnd[j][(z - 1) >> 1];\n      else if (z < 0)\n        p = wnd[j][(-z - 1) >> 1].neg();\n\n      if (p.type === 'affine')\n        acc = acc.mixedAdd(p);\n      else\n        acc = acc.add(p);\n    }\n  }\n  // Zeroify references\n  for (i = 0; i < len; i++)\n    wnd[i] = null;\n\n  if (jacobianResult)\n    return acc;\n  else\n    return acc.toP();\n};\n\nfunction BasePoint(curve, type) {\n  this.curve = curve;\n  this.type = type;\n  this.precomputed = null;\n}\nBaseCurve.BasePoint = BasePoint;\n\nBasePoint.prototype.eq = function eq(/*other*/) {\n  throw new Error('Not implemented');\n};\n\nBasePoint.prototype.validate = function validate() {\n  return this.curve.validate(this);\n};\n\nBaseCurve.prototype.decodePoint = function decodePoint(bytes, enc) {\n  bytes = utils.toArray(bytes, enc);\n\n  var len = this.p.byteLength();\n\n  // uncompressed, hybrid-odd, hybrid-even\n  if ((bytes[0] === 0x04 || bytes[0] === 0x06 || bytes[0] === 0x07) &&\n      bytes.length - 1 === 2 * len) {\n    if (bytes[0] === 0x06)\n      assert(bytes[bytes.length - 1] % 2 === 0);\n    else if (bytes[0] === 0x07)\n      assert(bytes[bytes.length - 1] % 2 === 1);\n\n    var res =  this.point(bytes.slice(1, 1 + len),\n      bytes.slice(1 + len, 1 + 2 * len));\n\n    return res;\n  } else if ((bytes[0] === 0x02 || bytes[0] === 0x03) &&\n              bytes.length - 1 === len) {\n    return this.pointFromX(bytes.slice(1, 1 + len), bytes[0] === 0x03);\n  }\n  throw new Error('Unknown point format');\n};\n\nBasePoint.prototype.encodeCompressed = function encodeCompressed(enc) {\n  return this.encode(enc, true);\n};\n\nBasePoint.prototype._encode = function _encode(compact) {\n  var len = this.curve.p.byteLength();\n  var x = this.getX().toArray('be', len);\n\n  if (compact)\n    return [ this.getY().isEven() ? 0x02 : 0x03 ].concat(x);\n\n  return [ 0x04 ].concat(x, this.getY().toArray('be', len));\n};\n\nBasePoint.prototype.encode = function encode(enc, compact) {\n  return utils.encode(this._encode(compact), enc);\n};\n\nBasePoint.prototype.precompute = function precompute(power) {\n  if (this.precomputed)\n    return this;\n\n  var precomputed = {\n    doubles: null,\n    naf: null,\n    beta: null,\n  };\n  precomputed.naf = this._getNAFPoints(8);\n  precomputed.doubles = this._getDoubles(4, power);\n  precomputed.beta = this._getBeta();\n  this.precomputed = precomputed;\n\n  return this;\n};\n\nBasePoint.prototype._hasDoubles = function _hasDoubles(k) {\n  if (!this.precomputed)\n    return false;\n\n  var doubles = this.precomputed.doubles;\n  if (!doubles)\n    return false;\n\n  return doubles.points.length >= Math.ceil((k.bitLength() + 1) / doubles.step);\n};\n\nBasePoint.prototype._getDoubles = function _getDoubles(step, power) {\n  if (this.precomputed && this.precomputed.doubles)\n    return this.precomputed.doubles;\n\n  var doubles = [ this ];\n  var acc = this;\n  for (var i = 0; i < power; i += step) {\n    for (var j = 0; j < step; j++)\n      acc = acc.dbl();\n    doubles.push(acc);\n  }\n  return {\n    step: step,\n    points: doubles,\n  };\n};\n\nBasePoint.prototype._getNAFPoints = function _getNAFPoints(wnd) {\n  if (this.precomputed && this.precomputed.naf)\n    return this.precomputed.naf;\n\n  var res = [ this ];\n  var max = (1 << wnd) - 1;\n  var dbl = max === 1 ? null : this.dbl();\n  for (var i = 1; i < max; i++)\n    res[i] = res[i - 1].add(dbl);\n  return {\n    wnd: wnd,\n    points: res,\n  };\n};\n\nBasePoint.prototype._getBeta = function _getBeta() {\n  return null;\n};\n\nBasePoint.prototype.dblp = function dblp(k) {\n  var r = this;\n  for (var i = 0; i < k; i++)\n    r = r.dbl();\n  return r;\n};\n","'use strict';\n\nvar utils = exports;\nvar BN = require('bn.js');\nvar minAssert = require('minimalistic-assert');\nvar minUtils = require('minimalistic-crypto-utils');\n\nutils.assert = minAssert;\nutils.toArray = minUtils.toArray;\nutils.zero2 = minUtils.zero2;\nutils.toHex = minUtils.toHex;\nutils.encode = minUtils.encode;\n\n// Represent num in a w-NAF form\nfunction getNAF(num, w, bits) {\n  var naf = new Array(Math.max(num.bitLength(), bits) + 1);\n  var i;\n  for (i = 0; i < naf.length; i += 1) {\n    naf[i] = 0;\n  }\n\n  var ws = 1 << (w + 1);\n  var k = num.clone();\n\n  for (i = 0; i < naf.length; i++) {\n    var z;\n    var mod = k.andln(ws - 1);\n    if (k.isOdd()) {\n      if (mod > (ws >> 1) - 1)\n        z = (ws >> 1) - mod;\n      else\n        z = mod;\n      k.isubn(z);\n    } else {\n      z = 0;\n    }\n\n    naf[i] = z;\n    k.iushrn(1);\n  }\n\n  return naf;\n}\nutils.getNAF = getNAF;\n\n// Represent k1, k2 in a Joint Sparse Form\nfunction getJSF(k1, k2) {\n  var jsf = [\n    [],\n    [],\n  ];\n\n  k1 = k1.clone();\n  k2 = k2.clone();\n  var d1 = 0;\n  var d2 = 0;\n  var m8;\n  while (k1.cmpn(-d1) > 0 || k2.cmpn(-d2) > 0) {\n    // First phase\n    var m14 = (k1.andln(3) + d1) & 3;\n    var m24 = (k2.andln(3) + d2) & 3;\n    if (m14 === 3)\n      m14 = -1;\n    if (m24 === 3)\n      m24 = -1;\n    var u1;\n    if ((m14 & 1) === 0) {\n      u1 = 0;\n    } else {\n      m8 = (k1.andln(7) + d1) & 7;\n      if ((m8 === 3 || m8 === 5) && m24 === 2)\n        u1 = -m14;\n      else\n        u1 = m14;\n    }\n    jsf[0].push(u1);\n\n    var u2;\n    if ((m24 & 1) === 0) {\n      u2 = 0;\n    } else {\n      m8 = (k2.andln(7) + d2) & 7;\n      if ((m8 === 3 || m8 === 5) && m14 === 2)\n        u2 = -m24;\n      else\n        u2 = m24;\n    }\n    jsf[1].push(u2);\n\n    // Second phase\n    if (2 * d1 === u1 + 1)\n      d1 = 1 - d1;\n    if (2 * d2 === u2 + 1)\n      d2 = 1 - d2;\n    k1.iushrn(1);\n    k2.iushrn(1);\n  }\n\n  return jsf;\n}\nutils.getJSF = getJSF;\n\nfunction cachedProperty(obj, name, computer) {\n  var key = '_' + name;\n  obj.prototype[name] = function cachedProperty() {\n    return this[key] !== undefined ? this[key] :\n      this[key] = computer.call(this);\n  };\n}\nutils.cachedProperty = cachedProperty;\n\nfunction parseBytes(bytes) {\n  return typeof bytes === 'string' ? utils.toArray(bytes, 'hex') :\n    bytes;\n}\nutils.parseBytes = parseBytes;\n\nfunction intFromLE(bytes) {\n  return new BN(bytes, 'hex', 'le');\n}\nutils.intFromLE = intFromLE;\n\n"],"names":[],"sourceRoot":""}