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generatePrime = require('./lib/generatePrime')\nvar primes = require('./lib/primes.json')\n\nvar DH = require('./lib/dh')\n\nfunction getDiffieHellman (mod) {\n  var prime = new Buffer(primes[mod].prime, 'hex')\n  var gen = new Buffer(primes[mod].gen, 'hex')\n\n  return new DH(prime, gen)\n}\n\nvar ENCODINGS = {\n  'binary': true, 'hex': true, 'base64': true\n}\n\nfunction createDiffieHellman (prime, enc, generator, genc) {\n  if (Buffer.isBuffer(enc) || ENCODINGS[enc] === undefined) {\n    return createDiffieHellman(prime, 'binary', enc, generator)\n  }\n\n  enc = enc || 'binary'\n  genc = genc || 'binary'\n  generator = generator || new Buffer([2])\n\n  if (!Buffer.isBuffer(generator)) {\n    generator = new Buffer(generator, genc)\n  }\n\n  if (typeof prime === 'number') {\n    return new DH(generatePrime(prime, generator), generator, true)\n  }\n\n  if (!Buffer.isBuffer(prime)) {\n    prime = new Buffer(prime, enc)\n  }\n\n  return new DH(prime, generator, true)\n}\n\nexports.DiffieHellmanGroup = exports.createDiffieHellmanGroup = exports.getDiffieHellman = getDiffieHellman\nexports.createDiffieHellman = exports.DiffieHellman = createDiffieHellman\n","'use strict';\n\nvar assert = require('minimalistic-assert');\n\nfunction Cipher(options) {\n  this.options = options;\n\n  this.type = this.options.type;\n  this.blockSize = 8;\n  this._init();\n\n  this.buffer = new Array(this.blockSize);\n  this.bufferOff = 0;\n}\nmodule.exports = Cipher;\n\nCipher.prototype._init = function _init() {\n  // Might be overrided\n};\n\nCipher.prototype.update = function update(data) {\n  if (data.length === 0)\n    return [];\n\n  if (this.type === 'decrypt')\n    return this._updateDecrypt(data);\n  else\n    return this._updateEncrypt(data);\n};\n\nCipher.prototype._buffer = function _buffer(data, off) {\n  // Append data to buffer\n  var min = Math.min(this.buffer.length - this.bufferOff, data.length - off);\n  for (var i = 0; i < min; i++)\n    this.buffer[this.bufferOff + i] = data[off + i];\n  this.bufferOff += min;\n\n  // Shift next\n  return min;\n};\n\nCipher.prototype._flushBuffer = function _flushBuffer(out, off) {\n  this._update(this.buffer, 0, out, off);\n  this.bufferOff = 0;\n  return this.blockSize;\n};\n\nCipher.prototype._updateEncrypt = function _updateEncrypt(data) {\n  var inputOff = 0;\n  var outputOff = 0;\n\n  var count = ((this.bufferOff + data.length) / this.blockSize) | 0;\n  var out = new Array(count * this.blockSize);\n\n  if (this.bufferOff !== 0) {\n    inputOff += this._buffer(data, inputOff);\n\n    if (this.bufferOff === this.buffer.length)\n      outputOff += this._flushBuffer(out, outputOff);\n  }\n\n  // Write blocks\n  var max = data.length - ((data.length - inputOff) % this.blockSize);\n  for (; inputOff < max; inputOff += this.blockSize) {\n    this._update(data, inputOff, out, outputOff);\n    outputOff += this.blockSize;\n  }\n\n  // Queue rest\n  for (; inputOff < data.length; inputOff++, this.bufferOff++)\n    this.buffer[this.bufferOff] = data[inputOff];\n\n  return out;\n};\n\nCipher.prototype._updateDecrypt = function _updateDecrypt(data) {\n  var inputOff = 0;\n  var outputOff = 0;\n\n  var count = Math.ceil((this.bufferOff + data.length) / this.blockSize) - 1;\n  var out = new Array(count * this.blockSize);\n\n  // TODO(indutny): optimize it, this is far from optimal\n  for (; count > 0; count--) {\n    inputOff += this._buffer(data, inputOff);\n    outputOff += this._flushBuffer(out, outputOff);\n  }\n\n  // Buffer rest of the input\n  inputOff += this._buffer(data, inputOff);\n\n  return out;\n};\n\nCipher.prototype.final = function final(buffer) {\n  var first;\n  if (buffer)\n    first = this.update(buffer);\n\n  var last;\n  if (this.type === 'encrypt')\n    last = this._finalEncrypt();\n  else\n    last = this._finalDecrypt();\n\n  if (first)\n    return first.concat(last);\n  else\n    return last;\n};\n\nCipher.prototype._pad = function _pad(buffer, off) {\n  if (off === 0)\n    return false;\n\n  while (off < buffer.length)\n    buffer[off++] = 0;\n\n  return true;\n};\n\nCipher.prototype._finalEncrypt = function _finalEncrypt() {\n  if (!this._pad(this.buffer, this.bufferOff))\n    return [];\n\n  var out = new Array(this.blockSize);\n  this._update(this.buffer, 0, out, 0);\n  return out;\n};\n\nCipher.prototype._unpad = function _unpad(buffer) {\n  return buffer;\n};\n\nCipher.prototype._finalDecrypt = function _finalDecrypt() {\n  assert.equal(this.bufferOff, this.blockSize, 'Not enough data to decrypt');\n  var out = new Array(this.blockSize);\n  this._flushBuffer(out, 0);\n\n  return this._unpad(out);\n};\n","'use strict';\n\nvar assert = require('minimalistic-assert');\nvar inherits = require('inherits');\n\nvar proto = {};\n\nfunction CBCState(iv) {\n  assert.equal(iv.length, 8, 'Invalid IV length');\n\n  this.iv = new Array(8);\n  for (var i = 0; i < this.iv.length; i++)\n    this.iv[i] = iv[i];\n}\n\nfunction instantiate(Base) {\n  function CBC(options) {\n    Base.call(this, options);\n    this._cbcInit();\n  }\n  inherits(CBC, Base);\n\n  var keys = Object.keys(proto);\n  for (var i = 0; i < keys.length; i++) {\n    var key = keys[i];\n    CBC.prototype[key] = proto[key];\n  }\n\n  CBC.create = function create(options) {\n    return new CBC(options);\n  };\n\n  return CBC;\n}\n\nexports.instantiate = instantiate;\n\nproto._cbcInit = function _cbcInit() {\n  var state = new CBCState(this.options.iv);\n  this._cbcState = state;\n};\n\nproto._update = function _update(inp, inOff, out, outOff) {\n  var state = this._cbcState;\n  var superProto = this.constructor.super_.prototype;\n\n  var iv = state.iv;\n  if (this.type === 'encrypt') {\n    for (var i = 0; i < this.blockSize; i++)\n      iv[i] ^= inp[inOff + i];\n\n    superProto._update.call(this, iv, 0, out, outOff);\n\n    for (var i = 0; i < this.blockSize; i++)\n      iv[i] = out[outOff + i];\n  } else {\n    superProto._update.call(this, inp, inOff, out, outOff);\n\n    for (var i = 0; i < this.blockSize; i++)\n      out[outOff + i] ^= iv[i];\n\n    for (var i = 0; i < this.blockSize; i++)\n      iv[i] = inp[inOff + i];\n  }\n};\n","'use strict';\n\nexports.utils = require('./des/utils');\nexports.Cipher = require('./des/cipher');\nexports.DES = require('./des/des');\nexports.CBC = require('./des/cbc');\nexports.EDE = require('./des/ede');\n","'use strict';\n\nvar assert = require('minimalistic-assert');\nvar inherits = require('inherits');\n\nvar Cipher = require('./cipher');\nvar DES = require('./des');\n\nfunction EDEState(type, key) {\n  assert.equal(key.length, 24, 'Invalid key length');\n\n  var k1 = key.slice(0, 8);\n  var k2 = key.slice(8, 16);\n  var k3 = key.slice(16, 24);\n\n  if (type === 'encrypt') {\n    this.ciphers = [\n      DES.create({ type: 'encrypt', key: k1 }),\n      DES.create({ type: 'decrypt', key: k2 }),\n      DES.create({ type: 'encrypt', key: k3 })\n    ];\n  } else {\n    this.ciphers = [\n      DES.create({ type: 'decrypt', key: k3 }),\n      DES.create({ type: 'encrypt', key: k2 }),\n      DES.create({ type: 'decrypt', key: k1 })\n    ];\n  }\n}\n\nfunction EDE(options) {\n  Cipher.call(this, options);\n\n  var state = new EDEState(this.type, this.options.key);\n  this._edeState = state;\n}\ninherits(EDE, Cipher);\n\nmodule.exports = EDE;\n\nEDE.create = function create(options) {\n  return new EDE(options);\n};\n\nEDE.prototype._update = function _update(inp, inOff, out, outOff) {\n  var state = this._edeState;\n\n  state.ciphers[0]._update(inp, inOff, out, outOff);\n  state.ciphers[1]._update(out, outOff, out, outOff);\n  state.ciphers[2]._update(out, outOff, out, outOff);\n};\n\nEDE.prototype._pad = DES.prototype._pad;\nEDE.prototype._unpad = DES.prototype._unpad;\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\nvar assert = require('minimalistic-assert');\nvar inherits = require('inherits');\n\nvar utils = require('./utils');\nvar Cipher = require('./cipher');\n\nfunction DESState() {\n  this.tmp = new Array(2);\n  this.keys = null;\n}\n\nfunction DES(options) {\n  Cipher.call(this, options);\n\n  var state = new DESState();\n  this._desState = state;\n\n  this.deriveKeys(state, options.key);\n}\ninherits(DES, Cipher);\nmodule.exports = DES;\n\nDES.create = function create(options) {\n  return new DES(options);\n};\n\nvar shiftTable = [\n  1, 1, 2, 2, 2, 2, 2, 2,\n  1, 2, 2, 2, 2, 2, 2, 1\n];\n\nDES.prototype.deriveKeys = function deriveKeys(state, key) {\n  state.keys = new Array(16 * 2);\n\n  assert.equal(key.length, this.blockSize, 'Invalid key length');\n\n  var kL = utils.readUInt32BE(key, 0);\n  var kR = utils.readUInt32BE(key, 4);\n\n  utils.pc1(kL, kR, state.tmp, 0);\n  kL = state.tmp[0];\n  kR = state.tmp[1];\n  for (var i = 0; i < state.keys.length; i += 2) {\n    var shift = shiftTable[i >>> 1];\n    kL = utils.r28shl(kL, shift);\n    kR = utils.r28shl(kR, shift);\n    utils.pc2(kL, kR, state.keys, i);\n  }\n};\n\nDES.prototype._update = function _update(inp, inOff, out, outOff) {\n  var state = this._desState;\n\n  var l = utils.readUInt32BE(inp, inOff);\n  var r = utils.readUInt32BE(inp, inOff + 4);\n\n  // Initial Permutation\n  utils.ip(l, r, state.tmp, 0);\n  l = state.tmp[0];\n  r = state.tmp[1];\n\n  if (this.type === 'encrypt')\n    this._encrypt(state, l, r, state.tmp, 0);\n  else\n    this._decrypt(state, l, r, state.tmp, 0);\n\n  l = state.tmp[0];\n  r = state.tmp[1];\n\n  utils.writeUInt32BE(out, l, outOff);\n  utils.writeUInt32BE(out, r, outOff + 4);\n};\n\nDES.prototype._pad = function _pad(buffer, off) {\n  var value = buffer.length - off;\n  for (var i = off; i < buffer.length; i++)\n    buffer[i] = value;\n\n  return true;\n};\n\nDES.prototype._unpad = function _unpad(buffer) {\n  var pad = buffer[buffer.length - 1];\n  for (var i = buffer.length - pad; i < buffer.length; i++)\n    assert.equal(buffer[i], pad);\n\n  return buffer.slice(0, buffer.length - pad);\n};\n\nDES.prototype._encrypt = function _encrypt(state, lStart, rStart, out, off) {\n  var l = lStart;\n  var r = rStart;\n\n  // Apply f() x16 times\n  for (var i = 0; i < state.keys.length; i += 2) {\n    var keyL = state.keys[i];\n    var keyR = state.keys[i + 1];\n\n    // f(r, k)\n    utils.expand(r, state.tmp, 0);\n\n    keyL ^= state.tmp[0];\n    keyR ^= state.tmp[1];\n    var s = utils.substitute(keyL, keyR);\n    var f = utils.permute(s);\n\n    var t = r;\n    r = (l ^ f) >>> 0;\n    l = t;\n  }\n\n  // Reverse Initial Permutation\n  utils.rip(r, l, out, off);\n};\n\nDES.prototype._decrypt = function _decrypt(state, lStart, rStart, out, off) {\n  var l = rStart;\n  var r = lStart;\n\n  // Apply f() x16 times\n  for (var i = state.keys.length - 2; i >= 0; i -= 2) {\n    var keyL = state.keys[i];\n    var keyR = state.keys[i + 1];\n\n    // f(r, k)\n    utils.expand(l, state.tmp, 0);\n\n    keyL ^= state.tmp[0];\n    keyR ^= state.tmp[1];\n    var s = utils.substitute(keyL, keyR);\n    var f = utils.permute(s);\n\n    var t = l;\n    l = (r ^ f) >>> 0;\n    r = t;\n  }\n\n  // Reverse Initial Permutation\n  utils.rip(l, r, out, off);\n};\n","var BN = require('bn.js');\nvar MillerRabin = require('miller-rabin');\nvar millerRabin = new MillerRabin();\nvar TWENTYFOUR = new BN(24);\nvar ELEVEN = new BN(11);\nvar TEN = new BN(10);\nvar THREE = new BN(3);\nvar SEVEN = new BN(7);\nvar primes = require('./generatePrime');\nvar randomBytes = require('randombytes');\nmodule.exports = DH;\n\nfunction setPublicKey(pub, enc) {\n  enc = enc || 'utf8';\n  if (!Buffer.isBuffer(pub)) {\n    pub = new Buffer(pub, enc);\n  }\n  this._pub = new BN(pub);\n  return this;\n}\n\nfunction setPrivateKey(priv, enc) {\n  enc = enc || 'utf8';\n  if (!Buffer.isBuffer(priv)) {\n    priv = new Buffer(priv, enc);\n  }\n  this._priv = new BN(priv);\n  return this;\n}\n\nvar primeCache = {};\nfunction checkPrime(prime, generator) {\n  var gen = generator.toString('hex');\n  var hex = [gen, prime.toString(16)].join('_');\n  if (hex in primeCache) {\n    return primeCache[hex];\n  }\n  var error = 0;\n\n  if (prime.isEven() ||\n    !primes.simpleSieve ||\n    !primes.fermatTest(prime) ||\n    !millerRabin.test(prime)) {\n    //not a prime so +1\n    error += 1;\n\n    if (gen === '02' || gen === '05') {\n      // we'd be able to check the generator\n      // it would fail so +8\n      error += 8;\n    } else {\n      //we wouldn't be able to test the generator\n      // so +4\n      error += 4;\n    }\n    primeCache[hex] = error;\n    return error;\n  }\n  if (!millerRabin.test(prime.shrn(1))) {\n    //not a safe prime\n    error += 2;\n  }\n  var rem;\n  switch (gen) {\n    case '02':\n      if (prime.mod(TWENTYFOUR).cmp(ELEVEN)) {\n        // unsuidable generator\n        error += 8;\n      }\n      break;\n    case '05':\n      rem = prime.mod(TEN);\n      if (rem.cmp(THREE) && rem.cmp(SEVEN)) {\n        // prime mod 10 needs to equal 3 or 7\n        error += 8;\n      }\n      break;\n    default:\n      error += 4;\n  }\n  primeCache[hex] = error;\n  return error;\n}\n\nfunction DH(prime, generator, malleable) {\n  this.setGenerator(generator);\n  this.__prime = new BN(prime);\n  this._prime = BN.mont(this.__prime);\n  this._primeLen = prime.length;\n  this._pub = undefined;\n  this._priv = undefined;\n  this._primeCode = undefined;\n  if (malleable) {\n    this.setPublicKey = setPublicKey;\n    this.setPrivateKey = setPrivateKey;\n  } else {\n    this._primeCode = 8;\n  }\n}\nObject.defineProperty(DH.prototype, 'verifyError', {\n  enumerable: true,\n  get: function () {\n    if (typeof this._primeCode !== 'number') {\n      this._primeCode = checkPrime(this.__prime, this.__gen);\n    }\n    return this._primeCode;\n  }\n});\nDH.prototype.generateKeys = function () {\n  if (!this._priv) {\n    this._priv = new BN(randomBytes(this._primeLen));\n  }\n  this._pub = this._gen.toRed(this._prime).redPow(this._priv).fromRed();\n  return this.getPublicKey();\n};\n\nDH.prototype.computeSecret = function (other) {\n  other = new BN(other);\n  other = other.toRed(this._prime);\n  var secret = other.redPow(this._priv).fromRed();\n  var out = new Buffer(secret.toArray());\n  var prime = this.getPrime();\n  if (out.length < prime.length) {\n    var front = new Buffer(prime.length - out.length);\n    front.fill(0);\n    out = Buffer.concat([front, out]);\n  }\n  return out;\n};\n\nDH.prototype.getPublicKey = function getPublicKey(enc) {\n  return formatReturnValue(this._pub, enc);\n};\n\nDH.prototype.getPrivateKey = function getPrivateKey(enc) {\n  return formatReturnValue(this._priv, enc);\n};\n\nDH.prototype.getPrime = function (enc) {\n  return formatReturnValue(this.__prime, enc);\n};\n\nDH.prototype.getGenerator = function (enc) {\n  return formatReturnValue(this._gen, enc);\n};\n\nDH.prototype.setGenerator = function (gen, enc) {\n  enc = enc || 'utf8';\n  if (!Buffer.isBuffer(gen)) {\n    gen = new Buffer(gen, enc);\n  }\n  this.__gen = gen;\n  this._gen = new BN(gen);\n  return this;\n};\n\nfunction formatReturnValue(bn, enc) {\n  var buf = new Buffer(bn.toArray());\n  if (!enc) {\n    return buf;\n  } else {\n    return buf.toString(enc);\n  }\n}\n","var randomBytes = require('randombytes');\nmodule.exports = findPrime;\nfindPrime.simpleSieve = simpleSieve;\nfindPrime.fermatTest = fermatTest;\nvar BN = require('bn.js');\nvar TWENTYFOUR = new BN(24);\nvar MillerRabin = require('miller-rabin');\nvar millerRabin = new MillerRabin();\nvar ONE = new BN(1);\nvar TWO = new BN(2);\nvar FIVE = new BN(5);\nvar SIXTEEN = new BN(16);\nvar EIGHT = new BN(8);\nvar TEN = new BN(10);\nvar THREE = new BN(3);\nvar SEVEN = new BN(7);\nvar ELEVEN = new BN(11);\nvar FOUR = new BN(4);\nvar TWELVE = new BN(12);\nvar primes = null;\n\nfunction _getPrimes() {\n  if (primes !== null)\n    return primes;\n\n  var limit = 0x100000;\n  var res = [];\n  res[0] = 2;\n  for (var i = 1, k = 3; k < limit; k += 2) {\n    var sqrt = Math.ceil(Math.sqrt(k));\n    for (var j = 0; j < i && res[j] <= sqrt; j++)\n      if (k % res[j] === 0)\n        break;\n\n    if (i !== j && res[j] <= sqrt)\n      continue;\n\n    res[i++] = k;\n  }\n  primes = res;\n  return res;\n}\n\nfunction simpleSieve(p) {\n  var primes = _getPrimes();\n\n  for (var i = 0; i < primes.length; i++)\n    if (p.modn(primes[i]) === 0) {\n      if (p.cmpn(primes[i]) === 0) {\n        return true;\n      } else {\n        return false;\n      }\n    }\n\n  return true;\n}\n\nfunction fermatTest(p) {\n  var red = BN.mont(p);\n  return TWO.toRed(red).redPow(p.subn(1)).fromRed().cmpn(1) === 0;\n}\n\nfunction findPrime(bits, gen) {\n  if (bits < 16) {\n    // this is what openssl does\n    if (gen === 2 || gen === 5) {\n      return new BN([0x8c, 0x7b]);\n    } else {\n      return new BN([0x8c, 0x27]);\n    }\n  }\n  gen = new BN(gen);\n\n  var num, n2;\n\n  while (true) {\n    num = new BN(randomBytes(Math.ceil(bits / 8)));\n    while (num.bitLength() > bits) {\n      num.ishrn(1);\n    }\n    if (num.isEven()) {\n      num.iadd(ONE);\n    }\n    if (!num.testn(1)) {\n      num.iadd(TWO);\n    }\n    if (!gen.cmp(TWO)) {\n      while (num.mod(TWENTYFOUR).cmp(ELEVEN)) {\n        num.iadd(FOUR);\n      }\n    } else if (!gen.cmp(FIVE)) {\n      while (num.mod(TEN).cmp(THREE)) {\n        num.iadd(FOUR);\n      }\n    }\n    n2 = num.shrn(1);\n    if (simpleSieve(n2) && simpleSieve(num) &&\n      fermatTest(n2) && fermatTest(num) &&\n      millerRabin.test(n2) && millerRabin.test(num)) {\n      return num;\n    }\n  }\n\n}\n","'use strict';\n\nexports.readUInt32BE = function readUInt32BE(bytes, off) {\n  var res =  (bytes[0 + off] << 24) |\n             (bytes[1 + off] << 16) |\n             (bytes[2 + off] << 8) |\n             bytes[3 + off];\n  return res >>> 0;\n};\n\nexports.writeUInt32BE = function writeUInt32BE(bytes, value, off) {\n  bytes[0 + off] = value >>> 24;\n  bytes[1 + off] = (value >>> 16) & 0xff;\n  bytes[2 + off] = (value >>> 8) & 0xff;\n  bytes[3 + off] = value & 0xff;\n};\n\nexports.ip = function ip(inL, inR, out, off) {\n  var outL = 0;\n  var outR = 0;\n\n  for (var i = 6; i >= 0; i -= 2) {\n    for (var j = 0; j <= 24; j += 8) {\n      outL <<= 1;\n      outL |= (inR >>> (j + i)) & 1;\n    }\n    for (var j = 0; j <= 24; j += 8) {\n      outL <<= 1;\n      outL |= (inL >>> (j + i)) & 1;\n    }\n  }\n\n  for (var i = 6; i >= 0; i -= 2) {\n    for (var j = 1; j <= 25; j += 8) {\n      outR <<= 1;\n      outR |= (inR >>> (j + i)) & 1;\n    }\n    for (var j = 1; j <= 25; j += 8) {\n      outR <<= 1;\n      outR |= (inL >>> (j + i)) & 1;\n    }\n  }\n\n  out[off + 0] = outL >>> 0;\n  out[off + 1] = outR >>> 0;\n};\n\nexports.rip = function rip(inL, inR, out, off) {\n  var outL = 0;\n  var outR = 0;\n\n  for (var i = 0; i < 4; i++) {\n    for (var j = 24; j >= 0; j -= 8) {\n      outL <<= 1;\n      outL |= (inR >>> (j + i)) & 1;\n      outL <<= 1;\n      outL |= (inL >>> (j + i)) & 1;\n    }\n  }\n  for (var i = 4; i < 8; i++) {\n    for (var j = 24; j >= 0; j -= 8) {\n      outR <<= 1;\n      outR |= (inR >>> (j + i)) & 1;\n      outR <<= 1;\n      outR |= (inL >>> (j + i)) & 1;\n    }\n  }\n\n  out[off + 0] = outL >>> 0;\n  out[off + 1] = outR >>> 0;\n};\n\nexports.pc1 = function pc1(inL, inR, out, off) {\n  var outL = 0;\n  var outR = 0;\n\n  // 7, 15, 23, 31, 39, 47, 55, 63\n  // 6, 14, 22, 30, 39, 47, 55, 63\n  // 5, 13, 21, 29, 39, 47, 55, 63\n  // 4, 12, 20, 28\n  for (var i = 7; i >= 5; i--) {\n    for (var j = 0; j <= 24; j += 8) {\n      outL <<= 1;\n      outL |= (inR >> (j + i)) & 1;\n    }\n    for (var j = 0; j <= 24; j += 8) {\n      outL <<= 1;\n      outL |= (inL >> (j + i)) & 1;\n    }\n  }\n  for (var j = 0; j <= 24; j += 8) {\n    outL <<= 1;\n    outL |= (inR >> (j + i)) & 1;\n  }\n\n  // 1, 9, 17, 25, 33, 41, 49, 57\n  // 2, 10, 18, 26, 34, 42, 50, 58\n  // 3, 11, 19, 27, 35, 43, 51, 59\n  // 36, 44, 52, 60\n  for (var i = 1; i <= 3; i++) {\n    for (var j = 0; j <= 24; j += 8) {\n      outR <<= 1;\n      outR |= (inR >> (j + i)) & 1;\n    }\n    for (var j = 0; j <= 24; j += 8) {\n      outR <<= 1;\n      outR |= (inL >> (j + i)) & 1;\n    }\n  }\n  for (var j = 0; j <= 24; j += 8) {\n    outR <<= 1;\n    outR |= (inL >> (j + i)) & 1;\n  }\n\n  out[off + 0] = outL >>> 0;\n  out[off + 1] = outR >>> 0;\n};\n\nexports.r28shl = function r28shl(num, shift) {\n  return ((num << shift) & 0xfffffff) | (num >>> (28 - shift));\n};\n\nvar pc2table = [\n  // inL => outL\n  14, 11, 17, 4, 27, 23, 25, 0,\n  13, 22, 7, 18, 5, 9, 16, 24,\n  2, 20, 12, 21, 1, 8, 15, 26,\n\n  // inR => outR\n  15, 4, 25, 19, 9, 1, 26, 16,\n  5, 11, 23, 8, 12, 7, 17, 0,\n  22, 3, 10, 14, 6, 20, 27, 24\n];\n\nexports.pc2 = function pc2(inL, inR, out, off) {\n  var outL = 0;\n  var outR = 0;\n\n  var len = pc2table.length >>> 1;\n  for (var i = 0; i < len; i++) {\n    outL <<= 1;\n    outL |= (inL >>> pc2table[i]) & 0x1;\n  }\n  for (var i = len; i < pc2table.length; i++) {\n    outR <<= 1;\n    outR |= (inR >>> pc2table[i]) & 0x1;\n  }\n\n  out[off + 0] = outL >>> 0;\n  out[off + 1] = outR >>> 0;\n};\n\nexports.expand = function expand(r, out, off) {\n  var outL = 0;\n  var outR = 0;\n\n  outL = ((r & 1) << 5) | (r >>> 27);\n  for (var i = 23; i >= 15; i -= 4) {\n    outL <<= 6;\n    outL |= (r >>> i) & 0x3f;\n  }\n  for (var i = 11; i >= 3; i -= 4) {\n    outR |= (r >>> i) & 0x3f;\n    outR <<= 6;\n  }\n  outR |= ((r & 0x1f) << 1) | (r >>> 31);\n\n  out[off + 0] = outL >>> 0;\n  out[off + 1] = outR >>> 0;\n};\n\nvar sTable = [\n  14, 0, 4, 15, 13, 7, 1, 4, 2, 14, 15, 2, 11, 13, 8, 1,\n  3, 10, 10, 6, 6, 12, 12, 11, 5, 9, 9, 5, 0, 3, 7, 8,\n  4, 15, 1, 12, 14, 8, 8, 2, 13, 4, 6, 9, 2, 1, 11, 7,\n  15, 5, 12, 11, 9, 3, 7, 14, 3, 10, 10, 0, 5, 6, 0, 13,\n\n  15, 3, 1, 13, 8, 4, 14, 7, 6, 15, 11, 2, 3, 8, 4, 14,\n  9, 12, 7, 0, 2, 1, 13, 10, 12, 6, 0, 9, 5, 11, 10, 5,\n  0, 13, 14, 8, 7, 10, 11, 1, 10, 3, 4, 15, 13, 4, 1, 2,\n  5, 11, 8, 6, 12, 7, 6, 12, 9, 0, 3, 5, 2, 14, 15, 9,\n\n  10, 13, 0, 7, 9, 0, 14, 9, 6, 3, 3, 4, 15, 6, 5, 10,\n  1, 2, 13, 8, 12, 5, 7, 14, 11, 12, 4, 11, 2, 15, 8, 1,\n  13, 1, 6, 10, 4, 13, 9, 0, 8, 6, 15, 9, 3, 8, 0, 7,\n  11, 4, 1, 15, 2, 14, 12, 3, 5, 11, 10, 5, 14, 2, 7, 12,\n\n  7, 13, 13, 8, 14, 11, 3, 5, 0, 6, 6, 15, 9, 0, 10, 3,\n  1, 4, 2, 7, 8, 2, 5, 12, 11, 1, 12, 10, 4, 14, 15, 9,\n  10, 3, 6, 15, 9, 0, 0, 6, 12, 10, 11, 1, 7, 13, 13, 8,\n  15, 9, 1, 4, 3, 5, 14, 11, 5, 12, 2, 7, 8, 2, 4, 14,\n\n  2, 14, 12, 11, 4, 2, 1, 12, 7, 4, 10, 7, 11, 13, 6, 1,\n  8, 5, 5, 0, 3, 15, 15, 10, 13, 3, 0, 9, 14, 8, 9, 6,\n  4, 11, 2, 8, 1, 12, 11, 7, 10, 1, 13, 14, 7, 2, 8, 13,\n  15, 6, 9, 15, 12, 0, 5, 9, 6, 10, 3, 4, 0, 5, 14, 3,\n\n  12, 10, 1, 15, 10, 4, 15, 2, 9, 7, 2, 12, 6, 9, 8, 5,\n  0, 6, 13, 1, 3, 13, 4, 14, 14, 0, 7, 11, 5, 3, 11, 8,\n  9, 4, 14, 3, 15, 2, 5, 12, 2, 9, 8, 5, 12, 15, 3, 10,\n  7, 11, 0, 14, 4, 1, 10, 7, 1, 6, 13, 0, 11, 8, 6, 13,\n\n  4, 13, 11, 0, 2, 11, 14, 7, 15, 4, 0, 9, 8, 1, 13, 10,\n  3, 14, 12, 3, 9, 5, 7, 12, 5, 2, 10, 15, 6, 8, 1, 6,\n  1, 6, 4, 11, 11, 13, 13, 8, 12, 1, 3, 4, 7, 10, 14, 7,\n  10, 9, 15, 5, 6, 0, 8, 15, 0, 14, 5, 2, 9, 3, 2, 12,\n\n  13, 1, 2, 15, 8, 13, 4, 8, 6, 10, 15, 3, 11, 7, 1, 4,\n  10, 12, 9, 5, 3, 6, 14, 11, 5, 0, 0, 14, 12, 9, 7, 2,\n  7, 2, 11, 1, 4, 14, 1, 7, 9, 4, 12, 10, 14, 8, 2, 13,\n  0, 15, 6, 12, 10, 9, 13, 0, 15, 3, 3, 5, 5, 6, 8, 11\n];\n\nexports.substitute = function substitute(inL, inR) {\n  var out = 0;\n  for (var i = 0; i < 4; i++) {\n    var b = (inL >>> (18 - i * 6)) & 0x3f;\n    var sb = sTable[i * 0x40 + b];\n\n    out <<= 4;\n    out |= sb;\n  }\n  for (var i = 0; i < 4; i++) {\n    var b = (inR >>> (18 - i * 6)) & 0x3f;\n    var sb = sTable[4 * 0x40 + i * 0x40 + b];\n\n    out <<= 4;\n    out |= sb;\n  }\n  return out >>> 0;\n};\n\nvar permuteTable = [\n  16, 25, 12, 11, 3, 20, 4, 15, 31, 17, 9, 6, 27, 14, 1, 22,\n  30, 24, 8, 18, 0, 5, 29, 23, 13, 19, 2, 26, 10, 21, 28, 7\n];\n\nexports.permute = function permute(num) {\n  var out = 0;\n  for (var i = 0; i < permuteTable.length; i++) {\n    out <<= 1;\n    out |= (num >>> permuteTable[i]) & 0x1;\n  }\n  return out >>> 0;\n};\n\nexports.padSplit = function padSplit(num, size, group) {\n  var str = num.toString(2);\n  while (str.length < size)\n    str = '0' + str;\n\n  var out = [];\n  for (var i = 0; i < size; i += group)\n    out.push(str.slice(i, i + group));\n  return out.join(' ');\n};\n"],"sourceRoot":""}