(function(f){if(typeof exports==="object"&&typeof module!=="undefined"){module.exports=f()}else if(typeof define==="function"&&define.amd){define([],f)}else{var g;if(typeof window!=="undefined"){g=window}else if(typeof global!=="undefined"){g=global}else if(typeof self!=="undefined"){g=self}else{g=this}g.EthTx = f()}})(function(){var define,module,exports;return (function e(t,n,r){function s(o,u){if(!n[o]){if(!t[o]){var a=typeof require=="function"&&require;if(!u&&a)return a(o,!0);if(i)return i(o,!0);var f=new Error("Cannot find module '"+o+"'");throw f.code="MODULE_NOT_FOUND",f}var l=n[o]={exports:{}};t[o][0].call(l.exports,function(e){var n=t[o][1][e];return s(n?n:e)},l,l.exports,e,t,n,r)}return n[o].exports}var i=typeof require=="function"&&require;for(var o=0;o<r.length;o++)s(r[o]);return s})({1:[function(require,module,exports){
(function (global,Buffer){
const ethUtil = require('ethereumjs-util')
const fees = require('ethereum-common')
const ecdsa = require('secp256k1')
const BN = ethUtil.BN
const rlp = ethUtil.rlp

// give browser access to Buffers
global.Buffer = Buffer
global.ethUtil = ethUtil

/**
 * Represents a transaction
 * @constructor
 * @param {Buffer|Array} data raw data, deserialized
 */
var Transaction = module.exports = function (data) {
  // Define Properties
  const fields = [{
    name: 'nonce',
    length: 32,
    allowLess: true,
    default: new Buffer([])
  }, {
    name: 'gasPrice',
    length: 32,
    allowLess: true,
    default: new Buffer([])
  }, {
    name: 'gasLimit',
    length: 32,
    allowLess: true,
    default: new Buffer([])
  }, {
    name: 'to',
    empty: true,
    length: 20,
    default: new Buffer([])
  }, {
    name: 'value',
    length: 32,
    allowLess: true,
    default: new Buffer([])
  }, {
    name: 'data',
    allowZero: true,
    default: new Buffer([])
  }, {
    name: 'v',
    length: 1,
    default: new Buffer([0x1c])
  }, {
    name: 'r',
    length: 32,
    allowLess: true,
    default: ethUtil.zeros(32)
  }, {
    name: 's',
    length: 32,
    allowLess: true,
    default: ethUtil.zeros(32)
  }]

  Object.defineProperty(this, 'from', {
    enumerable: false,
    configurable: true,
    get: function () {
      if (this._from) {
        return this._from
      }
      this._from = this.getSenderAddress()
      return this._from
    },
    set: function (v) {
      this._from = v
    }
  })

  ethUtil.defineProperties(this, fields, data)
}

/**
 * Returns the rlp encoding of the transaction
 * @method serialize
 * @return {Buffer}
 */
Transaction.prototype.serialize = function () {
  return rlp.encode(this.raw)
}

/**
 * Computes a sha3-256 hash of the tx
 * @method hash
 * @param {Boolean} [true] signature - whether or not to inculde the signature
 * @return {Buffer}
 */
Transaction.prototype.hash = function (signature) {
  var toHash

  if (typeof signature === 'undefined') {
    signature = true
  }

  if (signature) {
    toHash = this.raw
  } else {
    toHash = this.raw.slice(0, 6)
  }

  // create hash
  return ethUtil.sha3(rlp.encode(toHash))
}

/**
 * gets the senders address
 * @method getSenderAddress
 * @return {Buffer}
 */
Transaction.prototype.getSenderAddress = function () {
  const pubKey = this.getSenderPublicKey()
  return ethUtil.pubToAddress(pubKey)
}

/**
 * gets the senders public key
 * @method getSenderPublicKey
 * @return {Buffer}
 */
Transaction.prototype.getSenderPublicKey = function () {
  if (!this._senderPubKey || !this._senderPubKey.length) {
    this.verifySignature()
  }

  return this._senderPubKey
}

/**
 * @method verifySignature
 * @return {Boolean}
 */
Transaction.prototype.verifySignature = function () {
  var msgHash = this.hash(false)
  var sig = {
    signature: Buffer.concat([ethUtil.pad(this.r, 32), ethUtil.pad(this.s, 32)], 64),
    recovery: ethUtil.bufferToInt(this.v) - 27
  }

  try {
    this._senderPubKey = ecdsa.recover(msgHash, sig, false)
  } catch (e) {
    return false
  }

  if (!this._senderPubKey) {
    return false
  }

  var result = ecdsa.verify(msgHash, sig, this._senderPubKey)
  if (!result) {
    this._senderPubKey = null
  }

  return result
}
/**
 * sign a transaction with a given a private key
 * @method sign
 * @param {Buffer} privateKey
 */
Transaction.prototype.sign = function (privateKey) {
  var msgHash = this.hash(false)
  var sig = ecdsa.sign(msgHash, privateKey)

  this.r = sig.signature.slice(0, 32)
  this.s = sig.signature.slice(32, 64)
  this.v = sig.recovery + 27
}
/**
 * The amount of gas paid for the data in this tx
 * @method getDataFee
 * @return {bn.js}
 */
Transaction.prototype.getDataFee = function () {
  const data = this.raw[5]
  var cost = new BN(0)
  for (var i = 0; i < data.length; i++) {
    if (data[i] === 0) {
      cost.iaddn(fees.txDataZeroGas.v)
    } else {
      cost.iaddn(fees.txDataNonZeroGas.v)
    }
  }
  return cost
}

/**
 * the base amount of gas it takes to be a valid tx
 * @method getBaseFee
 * @return {bn.js}
 */
Transaction.prototype.getBaseFee = function () {
  return this.getDataFee().addn(fees.txGas.v)
}

/**
 * the up front amount that an account must have for this transaction to be valid
 * @method getUpfrontCost
 * @return {BN}
 */
Transaction.prototype.getUpfrontCost = function () {
  return new BN(this.gasLimit)
    .mul(new BN(this.gasPrice))
    .add(new BN(this.value))
}

/**
 * validates the signature and checks to see if it has enough gas
 * @method validate
 * @return {Boolean}
 */
Transaction.prototype.validate = function () {
  return this.verifySignature() && (Number(this.getBaseFee().toString()) <= ethUtil.bufferToInt(this.gasLimit))
}

}).call(this,typeof global !== "undefined" ? global : typeof self !== "undefined" ? self : typeof window !== "undefined" ? window : {},require("buffer").Buffer)
},{"buffer":62,"ethereum-common":2,"ethereumjs-util":31,"secp256k1":4}],2:[function(require,module,exports){
var params = module.exports = require('./params.json')

//load it dynamical because it's slow
Object.defineProperties(params, {
  genesisState: {
    get: require.bind(this, './genesisState.json')
  }
})

},{"./params.json":3}],3:[function(require,module,exports){
module.exports={
  "genesisGasLimit": {
    "v": 5000,
    "d": "Gas limit of the Genesis block."
  },
  "genesisDifficulty": {
    "v": 17179869184,
    "d": "Difficulty of the Genesis block."
  },
  "genesisNonce": {
    "v": "0x0000000000000042",
    "d": "the geneis nonce"
  },
  "genesisExtraData": {
    "v": "0x11bbe8db4e347b4e8c937c1c8370e4b5ed33adb3db69cbdb7a38e1e50b1b82fa",
    "d": "extra data "
  },
  "genesisHash": {
    "v": "0xd4e56740f876aef8c010b86a40d5f56745a118d0906a34e69aec8c0db1cb8fa3",
    "d": "genesis hash"
  },
  "genesisStateRoot": {
    "v": "0xd7f8974fb5ac78d9ac099b9ad5018bedc2ce0a72dad1827a1709da30580f0544",
    "d": "the genesis state root"
  },
  "minGasLimit": {
    "v": 5000,
    "d": "Minimum the gas limit may ever be."
  },
  "gasLimitBoundDivisor": {
    "v": 1024,
    "d": "The bound divisor of the gas limit, used in update calculations."
  },
  "minimumDifficulty": {
    "v": 131072,
    "d": "The minimum that the difficulty may ever be."
  },
  "difficultyBoundDivisor": {
    "v": 2048,
    "d": "The bound divisor of the difficulty, used in the update calculations."
  },
  "durationLimit": {
    "v": 13,
    "d": "The decision boundary on the blocktime duration used to determine whether difficulty should go up or not."
  },
  "maximumExtraDataSize": {
    "v": 32,
    "d": "Maximum size extra data may be after Genesis."
  },
  "epochDuration": {
    "v": 30000,
    "d": "Duration between proof-of-work epochs."
  },
  "stackLimit": {
    "v": 1024,
    "d": "Maximum size of VM stack allowed."
  },
  "callCreateDepth": {
    "v": 1024,
    "d": "Maximum depth of call/create stack."
  },

  "tierStepGas": {
    "v": [0, 2, 3, 5, 8, 10, 20],
    "d": "Once per operation, for a selection of them."
  },
  "expGas": {
    "v": 10,
    "d": "Once per EXP instuction."
  },
  "expByteGas": {
    "v": 10,
    "d": "Times ceil(log256(exponent)) for the EXP instruction."
  },

  "sha3Gas": {
    "v": 30,
    "d": "Once per SHA3 operation."
  },
  "sha3WordGas": {
    "v": 6,
    "d": "Once per word of the SHA3 operation's data."
  },
  "sloadGas": {
    "v": 50,
    "d": "Once per SLOAD operation."
  },
  "sstoreSetGas": {
    "v": 20000,
    "d": "Once per SSTORE operation if the zeroness changes from zero."
  },
  "sstoreResetGas": {
    "v": 5000,
    "d": "Once per SSTORE operation if the zeroness does not change from zero."
  },
  "sstoreRefundGas": {
    "v": 15000,
    "d": "Once per SSTORE operation if the zeroness changes to zero."
  },
  "jumpdestGas": {
    "v": 1,
    "d": "Refunded gas, once per SSTORE operation if the zeroness changes to zero."
  },

  "logGas": {
    "v": 375,
    "d": "Per LOG* operation."
  },
  "logDataGas": {
    "v": 8,
    "d": "Per byte in a LOG* operation's data."
  },
  "logTopicGas": {
    "v": 375,
    "d": "Multiplied by the * of the LOG*, per LOG transaction. e.g. LOG0 incurs 0 * c_txLogTopicGas, LOG4 incurs 4 * c_txLogTopicGas."
  },

  "createGas": {
    "v": 32000,
    "d": "Once per CREATE operation & contract-creation transaction."
  },

  "callGas": {
    "v": 40,
    "d": "Once per CALL operation & message call transaction."
  },
  "callStipend": {
    "v": 2300,
    "d": "Free gas given at beginning of call."
  },
  "callValueTransferGas": {
    "v": 9000,
    "d": "Paid for CALL when the value transfor is non-zero."
  },
  "callNewAccountGas": {
    "v": 25000,
    "d": "Paid for CALL when the destination address didn't exist prior."
  },

  "suicideRefundGas": {
    "v": 24000,
    "d": "Refunded following a suicide operation."
  },

  "memoryGas": {
    "v": 3,
    "d": "Times the address of the (highest referenced byte in memory + 1). NOTE: referencing happens on read, write and in instructions such as RETURN and CALL."
  },
  "quadCoeffDiv": {
    "v": 512,
    "d": "Divisor for the quadratic particle of the memory cost equation."
  },

  "createDataGas": {
    "v": 200,
    "d": ""
  },
  "txGas": {
    "v": 21000,
    "d": "Per transaction. NOTE: Not payable on data of calls between transactions."
  },
  "txDataZeroGas": {
    "v": 4,
    "d": "Per byte of data attached to a transaction that equals zero. NOTE: Not payable on data of calls between transactions."
  },
  "txDataNonZeroGas": {
    "v": 68,
    "d": "Per byte of data attached to a transaction that is not equal to zero. NOTE: Not payable on data of calls between transactions."
  },

  "copyGas": {
    "v": 3,
    "d": "Multiplied by the number of 32-byte words that are copied (round up) for any *COPY operation and added."
  },

  "ecrecoverGas": {
    "v": 3000,
    "d": ""
  },
  "sha256Gas": {
    "v": 60,
    "d": ""
  },
  "sha256WordGas": {
    "v": 12,
    "d": ""
  },
  "ripemd160Gas": {
    "v": 600,
    "d": ""
  },
  "ripemd160WordGas": {
    "v": 120,
    "d": ""
  },
  "identityGas": {
    "v": 15,
    "d": ""
  },
  "identityWordGas": {
    "v": 3,
    "d": ""
  },
  "minerReward": {
    "v": "5000000000000000000",
    "d": "the amount a miner get rewarded for mining a block"
  },
  "ommerReward": {
    "v": "625000000000000000",
    "d": "The amount of wei a miner of an uncle block gets for being inculded in the blockchain"
  },
  "niblingReward": {
    "v": "156250000000000000",
    "d": "the amount a miner gets for inculding a uncle"
  }
}

},{}],4:[function(require,module,exports){
(function (Buffer){
const EC = require('elliptic').ec
const ec = new EC('secp256k1')
const BN = require('bn.js')

function pad32(msg) {
  var buf
  if (msg.length < 32) {
    buf = new Buffer(32)
    buf.fill(0)
    msg.copy(buf, 32 - msg.length)
    return buf
  } else
    return msg
}

function parseSig(sig) {
  var recid;
  if (sig.signature) {
    recid = sig.recovery
    sig = sig.signature
  }

  if (sig.length === 64)
    sig = {
      r: sig.slice(0, 32),
      s: sig.slice(32, 64)
    }

  return {
    sig: sig,
    recid: recid
  }
}

/**
 * Create an ECDSA signature.
 * @method sign
 * @param  {Buffer} secretkey a 32-byte secret key (assumed to be valid)
 * @param {Buffer} msg he message being signed
 */
exports.sign = function (msg, secretKey, DER, cb) {

  if (typeof DER === 'function') {
    cb = DER
    DER = false
  }

  var result = ec.sign(new BN(msg), new BN(secretKey))

  if (DER)
    result = new Buffer(result.toDER())
  else {
    result = {
      signature: new Buffer(result.r.toArray().concat(result.s.toArray())),
      recovery: result.recoveryParam
    }
  }

  if (cb)
    cb(null, result)
  else
    return result
}

/**
 * Verify an ECDSA signature.
 * @method verify
 * @param {Buffer} mgs the message
 * @param {Buffer|Object} sig the signature
 * @param {Buffer} pubKey the public key
 * @return {Integer}
 *
 *    - 1: correct signature
 *    - 0: incorrect signature
 */
exports.verify = function (msg, sig, pubKey, cb) {

  sig = parseSig(sig)
  var key = ec.keyFromPublic(pubKey)
  var result

  try {
    result = ec.verify(new BN(msg), sig.sig, key)
  } catch (e) {
    result = false
  }
  if (cb)
    cb(result)
  else
    return result
}

/**
 * Recover an ECDSA public key from a compact signature. In the process also verifing it.
 * @method recoverCompact
 * @param {Buffer} msg the message assumed to be signed
 * @param {Buffer} sig the signature as 64 byte buffer
 * @param {Integer} recid the recovery id (as returned by ecdsa_sign_compact)
 * @param {Boolean} compressed whether to recover a compressed or uncompressed pubkey
 * @param {Function} [cb]
 * @return {Buffer} the pubkey, a 33 or 65 byte buffer
 */
exports.recover = function (msg, sig, compressed, cb) {

  if (typeof compressed === 'function') {
    cb = compressed
    compressed = true
  }

  if (compressed === undefined) {
    compressed = true
  }

  sig = parseSig(sig)
  var r = ec.recoverPubKey(new BN(msg), sig.sig, sig.recid, 'hex')

  if (compressed)
    r = r.encodeCompressed()
  else
    r = r.encode()

  r = new Buffer(r)

  if (cb)
    cb(null, r)
  else
    return r
}

/**
 * Compute the public key from a secret key.
 * @method createPubKey
 * @param {Buffer} secKey a 32-byte private key.
 * @param {Boolean} [compressed=0] whether the computed public key should be compressed
 * @return {Buffer} a 33-byte (if compressed) or 65-byte (if uncompressed) area to store the public key.
 */
exports.createPublicKey = function (secKey, compressed) {
  if (!secKey)
    throw new Error('invalid private key')

  const key = ec.keyFromPrivate(secKey)
  const pub = key.getPublic()

  if (compressed === undefined) {
    compressed = true
  }

  if (compressed)
    return new Buffer(pub.encodeCompressed())
  else
    return new Buffer(pub.encode())
}

}).call(this,require("buffer").Buffer)
},{"bn.js":5,"buffer":62,"elliptic":6}],5:[function(require,module,exports){
(function (module, exports) {

'use strict';

// Utils

function assert(val, msg) {
  if (!val)
    throw new Error(msg || 'Assertion failed');
}

// Could use `inherits` module, but don't want to move from single file
// architecture yet.
function inherits(ctor, superCtor) {
  ctor.super_ = superCtor;
  var TempCtor = function () {};
  TempCtor.prototype = superCtor.prototype;
  ctor.prototype = new TempCtor();
  ctor.prototype.constructor = ctor;
}

// BN

function BN(number, base, endian) {
  // May be `new BN(bn)` ?
  if (number !== null &&
      typeof number === 'object' &&
      Array.isArray(number.words)) {
    return number;
  }

  this.sign = false;
  this.words = null;
  this.length = 0;

  // Reduction context
  this.red = null;

  if (base === 'le' || base === 'be') {
    endian = base;
    base = 10;
  }

  if (number !== null)
    this._init(number || 0, base || 10, endian || 'be');
}
if (typeof module === 'object')
  module.exports = BN;
else
  exports.BN = BN;

BN.BN = BN;
BN.wordSize = 26;

BN.prototype._init = function init(number, base, endian) {
  if (typeof number === 'number') {
    return this._initNumber(number, base, endian);
  } else if (typeof number === 'object') {
    return this._initArray(number, base, endian);
  }
  if (base === 'hex')
    base = 16;
  assert(base === (base | 0) && base >= 2 && base <= 36);

  number = number.toString().replace(/\s+/g, '');
  var start = 0;
  if (number[0] === '-')
    start++;

  if (base === 16)
    this._parseHex(number, start);
  else
    this._parseBase(number, base, start);

  if (number[0] === '-')
    this.sign = true;

  this.strip();

  if (endian !== 'le')
    return;

  this._initArray(this.toArray(), base, endian);
};

BN.prototype._initNumber = function _initNumber(number, base, endian) {
  if (number < 0) {
    this.sign = true;
    number = -number;
  }
  if (number < 0x4000000) {
    this.words = [ number & 0x3ffffff ];
    this.length = 1;
  } else if (number < 0x10000000000000) {
    this.words = [
      number & 0x3ffffff,
      (number / 0x4000000) & 0x3ffffff
    ];
    this.length = 2;
  } else {
    assert(number < 0x20000000000000); // 2 ^ 53 (unsafe)
    this.words = [
      number & 0x3ffffff,
      (number / 0x4000000) & 0x3ffffff,
      1
    ];
    this.length = 3;
  }

  if (endian !== 'le')
    return;

  // Reverse the bytes
  this._initArray(this.toArray(), base, endian);
};

BN.prototype._initArray = function _initArray(number, base, endian) {
  // Perhaps a Uint8Array
  assert(typeof number.length === 'number');
  if (number.length <= 0) {
    this.words = [ 0 ];
    this.length = 1;
    return this;
  }

  this.length = Math.ceil(number.length / 3);
  this.words = new Array(this.length);
  for (var i = 0; i < this.length; i++)
    this.words[i] = 0;

  var off = 0;
  if (endian === 'be') {
    for (var i = number.length - 1, j = 0; i >= 0; i -= 3) {
      var w = number[i] | (number[i - 1] << 8) | (number[i - 2] << 16);
      this.words[j] |= (w << off) & 0x3ffffff;
      this.words[j + 1] = (w >>> (26 - off)) & 0x3ffffff;
      off += 24;
      if (off >= 26) {
        off -= 26;
        j++;
      }
    }
  } else if (endian === 'le') {
    for (var i = 0, j = 0; i < number.length; i += 3) {
      var w = number[i] | (number[i + 1] << 8) | (number[i + 2] << 16);
      this.words[j] |= (w << off) & 0x3ffffff;
      this.words[j + 1] = (w >>> (26 - off)) & 0x3ffffff;
      off += 24;
      if (off >= 26) {
        off -= 26;
        j++;
      }
    }
  }
  return this.strip();
};

function parseHex(str, start, end) {
  var r = 0;
  var len = Math.min(str.length, end);
  for (var i = start; i < len; i++) {
    var c = str.charCodeAt(i) - 48;

    r <<= 4;

    // 'a' - 'f'
    if (c >= 49 && c <= 54)
      r |= c - 49 + 0xa;

    // 'A' - 'F'
    else if (c >= 17 && c <= 22)
      r |= c - 17 + 0xa;

    // '0' - '9'
    else
      r |= c & 0xf;
  }
  return r;
}

BN.prototype._parseHex = function _parseHex(number, start) {
  // Create possibly bigger array to ensure that it fits the number
  this.length = Math.ceil((number.length - start) / 6);
  this.words = new Array(this.length);
  for (var i = 0; i < this.length; i++)
    this.words[i] = 0;

  // Scan 24-bit chunks and add them to the number
  var off = 0;
  for (var i = number.length - 6, j = 0; i >= start; i -= 6) {
    var w = parseHex(number, i, i + 6);
    this.words[j] |= (w << off) & 0x3ffffff;
    this.words[j + 1] |= w >>> (26 - off) & 0x3fffff;
    off += 24;
    if (off >= 26) {
      off -= 26;
      j++;
    }
  }
  if (i + 6 !== start) {
    var w = parseHex(number, start, i + 6);
    this.words[j] |= (w << off) & 0x3ffffff;
    this.words[j + 1] |= w >>> (26 - off) & 0x3fffff;
  }
  this.strip();
};

function parseBase(str, start, end, mul) {
  var r = 0;
  var len = Math.min(str.length, end);
  for (var i = start; i < len; i++) {
    var c = str.charCodeAt(i) - 48;

    r *= mul;

    // 'a'
    if (c >= 49)
      r += c - 49 + 0xa;

    // 'A'
    else if (c >= 17)
      r += c - 17 + 0xa;

    // '0' - '9'
    else
      r += c;
  }
  return r;
}

BN.prototype._parseBase = function _parseBase(number, base, start) {
  // Initialize as zero
  this.words = [ 0 ];
  this.length = 1;

  // Find length of limb in base
  for (var limbLen = 0, limbPow = 1; limbPow <= 0x3ffffff; limbPow *= base)
    limbLen++;
  limbLen--;
  limbPow = (limbPow / base) | 0;

  var total = number.length - start;
  var mod = total % limbLen;
  var end = Math.min(total, total - mod) + start;

  var word = 0;
  for (var i = start; i < end; i += limbLen) {
    word = parseBase(number, i, i + limbLen, base);

    this.imuln(limbPow);
    if (this.words[0] + word < 0x4000000)
      this.words[0] += word;
    else
      this._iaddn(word);
  }

  if (mod !== 0) {
    var pow = 1;
    var word = parseBase(number, i, number.length, base);

    for (var i = 0; i < mod; i++)
      pow *= base;
    this.imuln(pow);
    if (this.words[0] + word < 0x4000000)
      this.words[0] += word;
    else
      this._iaddn(word);
  }
};

BN.prototype.copy = function copy(dest) {
  dest.words = new Array(this.length);
  for (var i = 0; i < this.length; i++)
    dest.words[i] = this.words[i];
  dest.length = this.length;
  dest.sign = this.sign;
  dest.red = this.red;
};

BN.prototype.clone = function clone() {
  var r = new BN(null);
  this.copy(r);
  return r;
};

// Remove leading `0` from `this`
BN.prototype.strip = function strip() {
  while (this.length > 1 && this.words[this.length - 1] === 0)
    this.length--;
  return this._normSign();
};

BN.prototype._normSign = function _normSign() {
  // -0 = 0
  if (this.length === 1 && this.words[0] === 0)
    this.sign = false;
  return this;
};

BN.prototype.inspect = function inspect() {
  return (this.red ? '<BN-R: ' : '<BN: ') + this.toString(16) + '>';
};

/*

var zeros = [];
var groupSizes = [];
var groupBases = [];

var s = '';
var i = -1;
while (++i < BN.wordSize) {
  zeros[i] = s;
  s += '0';
}
groupSizes[0] = 0;
groupSizes[1] = 0;
groupBases[0] = 0;
groupBases[1] = 0;
var base = 2 - 1;
while (++base < 36 + 1) {
  var groupSize = 0;
  var groupBase = 1;
  while (groupBase < (1 << BN.wordSize) / base) {
    groupBase *= base;
    groupSize += 1;
  }
  groupSizes[base] = groupSize;
  groupBases[base] = groupBase;
}

*/

var zeros = [
  '',
  '0',
  '00',
  '000',
  '0000',
  '00000',
  '000000',
  '0000000',
  '00000000',
  '000000000',
  '0000000000',
  '00000000000',
  '000000000000',
  '0000000000000',
  '00000000000000',
  '000000000000000',
  '0000000000000000',
  '00000000000000000',
  '000000000000000000',
  '0000000000000000000',
  '00000000000000000000',
  '000000000000000000000',
  '0000000000000000000000',
  '00000000000000000000000',
  '000000000000000000000000',
  '0000000000000000000000000'
];

var groupSizes = [
  0, 0,
  25, 16, 12, 11, 10, 9, 8,
  8, 7, 7, 7, 7, 6, 6,
  6, 6, 6, 6, 6, 5, 5,
  5, 5, 5, 5, 5, 5, 5,
  5, 5, 5, 5, 5, 5, 5
];

var groupBases = [
  0, 0,
  33554432, 43046721, 16777216, 48828125, 60466176, 40353607, 16777216,
  43046721, 10000000, 19487171, 35831808, 62748517, 7529536, 11390625,
  16777216, 24137569, 34012224, 47045881, 64000000, 4084101, 5153632,
  6436343, 7962624, 9765625, 11881376, 14348907, 17210368, 20511149,
  24300000, 28629151, 33554432, 39135393, 45435424, 52521875, 60466176
];

BN.prototype.toString = function toString(base, padding) {
  base = base || 10;
  var padding = padding | 0 || 1;
  if (base === 16 || base === 'hex') {
    var out = '';
    var off = 0;
    var carry = 0;
    for (var i = 0; i < this.length; i++) {
      var w = this.words[i];
      var word = (((w << off) | carry) & 0xffffff).toString(16);
      carry = (w >>> (24 - off)) & 0xffffff;
      if (carry !== 0 || i !== this.length - 1)
        out = zeros[6 - word.length] + word + out;
      else
        out = word + out;
      off += 2;
      if (off >= 26) {
        off -= 26;
        i--;
      }
    }
    if (carry !== 0)
      out = carry.toString(16) + out;
    while (out.length % padding !== 0)
      out = '0' + out;
    if (this.sign)
      out = '-' + out;
    return out;
  } else if (base === (base | 0) && base >= 2 && base <= 36) {
    // var groupSize = Math.floor(BN.wordSize * Math.LN2 / Math.log(base));
    var groupSize = groupSizes[base];
    // var groupBase = Math.pow(base, groupSize);
    var groupBase = groupBases[base];
    var out = '';
    var c = this.clone();
    c.sign = false;
    while (c.cmpn(0) !== 0) {
      var r = c.modn(groupBase).toString(base);
      c = c.idivn(groupBase);

      if (c.cmpn(0) !== 0)
        out = zeros[groupSize - r.length] + r + out;
      else
        out = r + out;
    }
    if (this.cmpn(0) === 0)
      out = '0' + out;
    while (out.length % padding !== 0)
      out = '0' + out;
    if (this.sign)
      out = '-' + out;
    return out;
  } else {
    assert(false, 'Base should be between 2 and 36');
  }
};

BN.prototype.toJSON = function toJSON() {
  return this.toString(16);
};

BN.prototype.toArray = function toArray(endian, length) {
  this.strip();
  var littleEndian = endian === 'le';
  var res = new Array(this.byteLength());
  res[0] = 0;

  var q = this.clone();
  if (!littleEndian) {
    // Assume big-endian
    for (var i = 0; q.cmpn(0) !== 0; i++) {
      var b = q.andln(0xff);
      q.iushrn(8);

      res[res.length - i - 1] = b;
    }
  } else {
    for (var i = 0; q.cmpn(0) !== 0; i++) {
      var b = q.andln(0xff);
      q.iushrn(8);

      res[i] = b;
    }
  }

  if (length) {
    assert(res.length <= length, 'byte array longer than desired length');

    while (res.length < length) {
      if (littleEndian)
        res.push(0);
      else
        res.unshift(0);
    }
  }

  return res;
};

if (Math.clz32) {
  BN.prototype._countBits = function _countBits(w) {
    return 32 - Math.clz32(w);
  };
} else {
  BN.prototype._countBits = function _countBits(w) {
    var t = w;
    var r = 0;
    if (t >= 0x1000) {
      r += 13;
      t >>>= 13;
    }
    if (t >= 0x40) {
      r += 7;
      t >>>= 7;
    }
    if (t >= 0x8) {
      r += 4;
      t >>>= 4;
    }
    if (t >= 0x02) {
      r += 2;
      t >>>= 2;
    }
    return r + t;
  };
}

BN.prototype._zeroBits = function _zeroBits(w) {
  // Short-cut
  if (w === 0)
    return 26;

  var t = w;
  var r = 0;
  if ((t & 0x1fff) === 0) {
    r += 13;
    t >>>= 13;
  }
  if ((t & 0x7f) === 0) {
    r += 7;
    t >>>= 7;
  }
  if ((t & 0xf) === 0) {
    r += 4;
    t >>>= 4;
  }
  if ((t & 0x3) === 0) {
    r += 2;
    t >>>= 2;
  }
  if ((t & 0x1) === 0)
    r++;
  return r;
};

// Return number of used bits in a BN
BN.prototype.bitLength = function bitLength() {
  var hi = 0;
  var w = this.words[this.length - 1];
  var hi = this._countBits(w);
  return (this.length - 1) * 26 + hi;
};

// Number of trailing zero bits
BN.prototype.zeroBits = function zeroBits() {
  if (this.cmpn(0) === 0)
    return 0;

  var r = 0;
  for (var i = 0; i < this.length; i++) {
    var b = this._zeroBits(this.words[i]);
    r += b;
    if (b !== 26)
      break;
  }
  return r;
};

BN.prototype.byteLength = function byteLength() {
  return Math.ceil(this.bitLength() / 8);
};

// Return negative clone of `this`
BN.prototype.neg = function neg() {
  if (this.cmpn(0) === 0)
    return this.clone();

  var r = this.clone();
  r.sign = !this.sign;
  return r;
};


// Or `num` with `this` in-place
BN.prototype.iuor = function iuor(num) {
  while (this.length < num.length)
    this.words[this.length++] = 0;

  for (var i = 0; i < num.length; i++)
    this.words[i] = this.words[i] | num.words[i];

  return this.strip();
};

BN.prototype.ior = function ior(num) {
  assert(!this.sign && !num.sign);
  return this.iuor(num);
};


// Or `num` with `this`
BN.prototype.or = function or(num) {
  if (this.length > num.length)
    return this.clone().ior(num);
  else
    return num.clone().ior(this);
};

BN.prototype.uor = function uor(num) {
  if (this.length > num.length)
    return this.clone().iuor(num);
  else
    return num.clone().iuor(this);
};


// And `num` with `this` in-place
BN.prototype.iuand = function iuand(num) {
  // b = min-length(num, this)
  var b;
  if (this.length > num.length)
    b = num;
  else
    b = this;

  for (var i = 0; i < b.length; i++)
    this.words[i] = this.words[i] & num.words[i];

  this.length = b.length;

  return this.strip();
};

BN.prototype.iand = function iand(num) {
  assert(!this.sign && !num.sign);
  return this.iuand(num);
};


// And `num` with `this`
BN.prototype.and = function and(num) {
  if (this.length > num.length)
    return this.clone().iand(num);
  else
    return num.clone().iand(this);
};

BN.prototype.uand = function uand(num) {
  if (this.length > num.length)
    return this.clone().iuand(num);
  else
    return num.clone().iuand(this);
};


// Xor `num` with `this` in-place
BN.prototype.iuxor = function iuxor(num) {
  // a.length > b.length
  var a;
  var b;
  if (this.length > num.length) {
    a = this;
    b = num;
  } else {
    a = num;
    b = this;
  }

  for (var i = 0; i < b.length; i++)
    this.words[i] = a.words[i] ^ b.words[i];

  if (this !== a)
    for (; i < a.length; i++)
      this.words[i] = a.words[i];

  this.length = a.length;

  return this.strip();
};

BN.prototype.ixor = function ixor(num) {
  assert(!this.sign && !num.sign);
  return this.iuxor(num);
};


// Xor `num` with `this`
BN.prototype.xor = function xor(num) {
  if (this.length > num.length)
    return this.clone().ixor(num);
  else
    return num.clone().ixor(this);
};

BN.prototype.uxor = function uxor(num) {
  if (this.length > num.length)
    return this.clone().iuxor(num);
  else
    return num.clone().iuxor(this);
};


// Set `bit` of `this`
BN.prototype.setn = function setn(bit, val) {
  assert(typeof bit === 'number' && bit >= 0);

  var off = (bit / 26) | 0;
  var wbit = bit % 26;

  while (this.length <= off)
    this.words[this.length++] = 0;

  if (val)
    this.words[off] = this.words[off] | (1 << wbit);
  else
    this.words[off] = this.words[off] & ~(1 << wbit);

  return this.strip();
};


// Add `num` to `this` in-place
BN.prototype.iadd = function iadd(num) {
  // negative + positive
  if (this.sign && !num.sign) {
    this.sign = false;
    var r = this.isub(num);
    this.sign = !this.sign;
    return this._normSign();

  // positive + negative
  } else if (!this.sign && num.sign) {
    num.sign = false;
    var r = this.isub(num);
    num.sign = true;
    return r._normSign();
  }

  // a.length > b.length
  var a;
  var b;
  if (this.length > num.length) {
    a = this;
    b = num;
  } else {
    a = num;
    b = this;
  }

  var carry = 0;
  for (var i = 0; i < b.length; i++) {
    var r = a.words[i] + b.words[i] + carry;
    this.words[i] = r & 0x3ffffff;
    carry = r >>> 26;
  }
  for (; carry !== 0 && i < a.length; i++) {
    var r = a.words[i] + carry;
    this.words[i] = r & 0x3ffffff;
    carry = r >>> 26;
  }

  this.length = a.length;
  if (carry !== 0) {
    this.words[this.length] = carry;
    this.length++;
  // Copy the rest of the words
  } else if (a !== this) {
    for (; i < a.length; i++)
      this.words[i] = a.words[i];
  }

  return this;
};

// Add `num` to `this`
BN.prototype.add = function add(num) {
  if (num.sign && !this.sign) {
    num.sign = false;
    var res = this.sub(num);
    num.sign = true;
    return res;
  } else if (!num.sign && this.sign) {
    this.sign = false;
    var res = num.sub(this);
    this.sign = true;
    return res;
  }

  if (this.length > num.length)
    return this.clone().iadd(num);
  else
    return num.clone().iadd(this);
};

// Subtract `num` from `this` in-place
BN.prototype.isub = function isub(num) {
  // this - (-num) = this + num
  if (num.sign) {
    num.sign = false;
    var r = this.iadd(num);
    num.sign = true;
    return r._normSign();

  // -this - num = -(this + num)
  } else if (this.sign) {
    this.sign = false;
    this.iadd(num);
    this.sign = true;
    return this._normSign();
  }

  // At this point both numbers are positive
  var cmp = this.cmp(num);

  // Optimization - zeroify
  if (cmp === 0) {
    this.sign = false;
    this.length = 1;
    this.words[0] = 0;
    return this;
  }

  // a > b
  var a;
  var b;
  if (cmp > 0) {
    a = this;
    b = num;
  } else {
    a = num;
    b = this;
  }

  var carry = 0;
  for (var i = 0; i < b.length; i++) {
    var r = a.words[i] - b.words[i] + carry;
    carry = r >> 26;
    this.words[i] = r & 0x3ffffff;
  }
  for (; carry !== 0 && i < a.length; i++) {
    var r = a.words[i] + carry;
    carry = r >> 26;
    this.words[i] = r & 0x3ffffff;
  }

  // Copy rest of the words
  if (carry === 0 && i < a.length && a !== this)
    for (; i < a.length; i++)
      this.words[i] = a.words[i];
  this.length = Math.max(this.length, i);

  if (a !== this)
    this.sign = true;

  return this.strip();
};

// Subtract `num` from `this`
BN.prototype.sub = function sub(num) {
  return this.clone().isub(num);
};

/*
// NOTE: This could be potentionally used to generate loop-less multiplications
function _genCombMulTo(alen, blen) {
  var len = alen + blen - 1;
  var src = [
    'var a = this.words, b = num.words, o = out.words, c = 0, w, ' +
        'mask = 0x3ffffff, shift = 0x4000000;',
    'out.length = ' + len + ';'
  ];
  for (var k = 0; k < len; k++) {
    var minJ = Math.max(0, k - alen + 1);
    var maxJ = Math.min(k, blen - 1);

    for (var j = minJ; j <= maxJ; j++) {
      var i = k - j;
      var mul = 'a[' + i + '] * b[' + j + ']';

      if (j === minJ) {
        src.push('w = ' + mul + ' + c;');
        src.push('c = (w / shift) | 0;');
      } else {
        src.push('w += ' + mul + ';');
        src.push('c += (w / shift) | 0;');
      }
      src.push('w &= mask;');
    }
    src.push('o[' + k + '] = w;');
  }
  src.push('if (c !== 0) {',
           '  o[' + k + '] = c;',
           '  out.length++;',
           '}',
           'return out;');

  return src.join('\n');
}
*/

BN.prototype._smallMulTo = function _smallMulTo(num, out) {
  out.sign = num.sign !== this.sign;
  out.length = this.length + num.length;

  var carry = 0;
  for (var k = 0; k < out.length - 1; k++) {
    // Sum all words with the same `i + j = k` and accumulate `ncarry`,
    // note that ncarry could be >= 0x3ffffff
    var ncarry = carry >>> 26;
    var rword = carry & 0x3ffffff;
    var maxJ = Math.min(k, num.length - 1);
    for (var j = Math.max(0, k - this.length + 1); j <= maxJ; j++) {
      var i = k - j;
      var a = this.words[i] | 0;
      var b = num.words[j] | 0;
      var r = a * b;

      var lo = r & 0x3ffffff;
      ncarry = (ncarry + ((r / 0x4000000) | 0)) | 0;
      lo = (lo + rword) | 0;
      rword = lo & 0x3ffffff;
      ncarry = (ncarry + (lo >>> 26)) | 0;
    }
    out.words[k] = rword;
    carry = ncarry;
  }
  if (carry !== 0) {
    out.words[k] = carry;
  } else {
    out.length--;
  }

  return out.strip();
};

BN.prototype._bigMulTo = function _bigMulTo(num, out) {
  out.sign = num.sign !== this.sign;
  out.length = this.length + num.length;

  var carry = 0;
  var hncarry = 0;
  for (var k = 0; k < out.length - 1; k++) {
    // Sum all words with the same `i + j = k` and accumulate `ncarry`,
    // note that ncarry could be >= 0x3ffffff
    var ncarry = hncarry;
    hncarry = 0;
    var rword = carry & 0x3ffffff;
    var maxJ = Math.min(k, num.length - 1);
    for (var j = Math.max(0, k - this.length + 1); j <= maxJ; j++) {
      var i = k - j;
      var a = this.words[i] | 0;
      var b = num.words[j] | 0;
      var r = a * b;

      var lo = r & 0x3ffffff;
      ncarry = (ncarry + ((r / 0x4000000) | 0)) | 0;
      lo = (lo + rword) | 0;
      rword = lo & 0x3ffffff;
      ncarry = (ncarry + (lo >>> 26)) | 0;

      hncarry += ncarry >>> 26;
      ncarry &= 0x3ffffff;
    }
    out.words[k] = rword;
    carry = ncarry;
    ncarry = hncarry;
  }
  if (carry !== 0) {
    out.words[k] = carry;
  } else {
    out.length--;
  }

  return out.strip();
};

BN.prototype.mulTo = function mulTo(num, out) {
  var res;
  if (this.length + num.length < 63)
    res = this._smallMulTo(num, out);
  else
    res = this._bigMulTo(num, out);
  return res;
};

// Multiply `this` by `num`
BN.prototype.mul = function mul(num) {
  var out = new BN(null);
  out.words = new Array(this.length + num.length);
  return this.mulTo(num, out);
};

// In-place Multiplication
BN.prototype.imul = function imul(num) {
  if (this.cmpn(0) === 0 || num.cmpn(0) === 0) {
    this.words[0] = 0;
    this.length = 1;
    return this;
  }

  var tlen = this.length;
  var nlen = num.length;

  this.sign = num.sign !== this.sign;
  this.length = this.length + num.length;
  this.words[this.length - 1] = 0;

  for (var k = this.length - 2; k >= 0; k--) {
    // Sum all words with the same `i + j = k` and accumulate `carry`,
    // note that carry could be >= 0x3ffffff
    var carry = 0;
    var rword = 0;
    var maxJ = Math.min(k, nlen - 1);
    for (var j = Math.max(0, k - tlen + 1); j <= maxJ; j++) {
      var i = k - j;
      var a = this.words[i];
      var b = num.words[j];
      var r = a * b;

      var lo = r & 0x3ffffff;
      carry += (r / 0x4000000) | 0;
      lo += rword;
      rword = lo & 0x3ffffff;
      carry += lo >>> 26;
    }
    this.words[k] = rword;
    this.words[k + 1] += carry;
    carry = 0;
  }

  // Propagate overflows
  var carry = 0;
  for (var i = 1; i < this.length; i++) {
    var w = this.words[i] + carry;
    this.words[i] = w & 0x3ffffff;
    carry = w >>> 26;
  }

  return this.strip();
};

BN.prototype.imuln = function imuln(num) {
  assert(typeof num === 'number');

  // Carry
  var carry = 0;
  for (var i = 0; i < this.length; i++) {
    var w = this.words[i] * num;
    var lo = (w & 0x3ffffff) + (carry & 0x3ffffff);
    carry >>= 26;
    carry += (w / 0x4000000) | 0;
    // NOTE: lo is 27bit maximum
    carry += lo >>> 26;
    this.words[i] = lo & 0x3ffffff;
  }

  if (carry !== 0) {
    this.words[i] = carry;
    this.length++;
  }

  return this;
};

BN.prototype.muln = function muln(num) {
  return this.clone().imuln(num);
};

// `this` * `this`
BN.prototype.sqr = function sqr() {
  return this.mul(this);
};

// `this` * `this` in-place
BN.prototype.isqr = function isqr() {
  return this.mul(this);
};

// Shift-left in-place
BN.prototype.iushln = function iushln(bits) {
  assert(typeof bits === 'number' && bits >= 0);
  var r = bits % 26;
  var s = (bits - r) / 26;
  var carryMask = (0x3ffffff >>> (26 - r)) << (26 - r);

  if (r !== 0) {
    var carry = 0;
    for (var i = 0; i < this.length; i++) {
      var newCarry = this.words[i] & carryMask;
      var c = (this.words[i] - newCarry) << r;
      this.words[i] = c | carry;
      carry = newCarry >>> (26 - r);
    }
    if (carry) {
      this.words[i] = carry;
      this.length++;
    }
  }

  if (s !== 0) {
    for (var i = this.length - 1; i >= 0; i--)
      this.words[i + s] = this.words[i];
    for (var i = 0; i < s; i++)
      this.words[i] = 0;
    this.length += s;
  }

  return this.strip();
};

BN.prototype.ishln = function ishln(bits) {
  // TODO(indutny): implement me
  assert(!this.sign);
  return this.iushln(bits);
};

// Shift-right in-place
// NOTE: `hint` is a lowest bit before trailing zeroes
// NOTE: if `extended` is present - it will be filled with destroyed bits
BN.prototype.iushrn = function iushrn(bits, hint, extended) {
  assert(typeof bits === 'number' && bits >= 0);
  var h;
  if (hint)
    h = (hint - (hint % 26)) / 26;
  else
    h = 0;

  var r = bits % 26;
  var s = Math.min((bits - r) / 26, this.length);
  var mask = 0x3ffffff ^ ((0x3ffffff >>> r) << r);
  var maskedWords = extended;

  h -= s;
  h = Math.max(0, h);

  // Extended mode, copy masked part
  if (maskedWords) {
    for (var i = 0; i < s; i++)
      maskedWords.words[i] = this.words[i];
    maskedWords.length = s;
  }

  if (s === 0) {
    // No-op, we should not move anything at all
  } else if (this.length > s) {
    this.length -= s;
    for (var i = 0; i < this.length; i++)
      this.words[i] = this.words[i + s];
  } else {
    this.words[0] = 0;
    this.length = 1;
  }

  var carry = 0;
  for (var i = this.length - 1; i >= 0 && (carry !== 0 || i >= h); i--) {
    var word = this.words[i];
    this.words[i] = (carry << (26 - r)) | (word >>> r);
    carry = word & mask;
  }

  // Push carried bits as a mask
  if (maskedWords && carry !== 0)
    maskedWords.words[maskedWords.length++] = carry;

  if (this.length === 0) {
    this.words[0] = 0;
    this.length = 1;
  }

  this.strip();

  return this;
};

BN.prototype.ishrn = function ishrn(bits, hint, extended) {
  // TODO(indutny): implement me
  assert(!this.sign);
  return this.iushrn(bits, hint, extended);
};

// Shift-left
BN.prototype.shln = function shln(bits) {
  return this.clone().ishln(bits);
};

BN.prototype.ushln = function ushln(bits) {
  return this.clone().iushln(bits);
};

// Shift-right
BN.prototype.shrn = function shrn(bits) {
  return this.clone().ishrn(bits);
};

BN.prototype.ushrn = function ushrn(bits) {
  return this.clone().iushrn(bits);
};

// Test if n bit is set
BN.prototype.testn = function testn(bit) {
  assert(typeof bit === 'number' && bit >= 0);
  var r = bit % 26;
  var s = (bit - r) / 26;
  var q = 1 << r;

  // Fast case: bit is much higher than all existing words
  if (this.length <= s) {
    return false;
  }

  // Check bit and return
  var w = this.words[s];

  return !!(w & q);
};

// Return only lowers bits of number (in-place)
BN.prototype.imaskn = function imaskn(bits) {
  assert(typeof bits === 'number' && bits >= 0);
  var r = bits % 26;
  var s = (bits - r) / 26;

  assert(!this.sign, 'imaskn works only with positive numbers');

  if (r !== 0)
    s++;
  this.length = Math.min(s, this.length);

  if (r !== 0) {
    var mask = 0x3ffffff ^ ((0x3ffffff >>> r) << r);
    this.words[this.length - 1] &= mask;
  }

  return this.strip();
};

// Return only lowers bits of number
BN.prototype.maskn = function maskn(bits) {
  return this.clone().imaskn(bits);
};

// Add plain number `num` to `this`
BN.prototype.iaddn = function iaddn(num) {
  assert(typeof num === 'number');
  if (num < 0)
    return this.isubn(-num);

  // Possible sign change
  if (this.sign) {
    if (this.length === 1 && this.words[0] < num) {
      this.words[0] = num - this.words[0];
      this.sign = false;
      return this;
    }

    this.sign = false;
    this.isubn(num);
    this.sign = true;
    return this;
  }

  // Add without checks
  return this._iaddn(num);
};

BN.prototype._iaddn = function _iaddn(num) {
  this.words[0] += num;

  // Carry
  for (var i = 0; i < this.length && this.words[i] >= 0x4000000; i++) {
    this.words[i] -= 0x4000000;
    if (i === this.length - 1)
      this.words[i + 1] = 1;
    else
      this.words[i + 1]++;
  }
  this.length = Math.max(this.length, i + 1);

  return this;
};

// Subtract plain number `num` from `this`
BN.prototype.isubn = function isubn(num) {
  assert(typeof num === 'number');
  if (num < 0)
    return this.iaddn(-num);

  if (this.sign) {
    this.sign = false;
    this.iaddn(num);
    this.sign = true;
    return this;
  }

  this.words[0] -= num;

  // Carry
  for (var i = 0; i < this.length && this.words[i] < 0; i++) {
    this.words[i] += 0x4000000;
    this.words[i + 1] -= 1;
  }

  return this.strip();
};

BN.prototype.addn = function addn(num) {
  return this.clone().iaddn(num);
};

BN.prototype.subn = function subn(num) {
  return this.clone().isubn(num);
};

BN.prototype.iabs = function iabs() {
  this.sign = false;

  return this;
};

BN.prototype.abs = function abs() {
  return this.clone().iabs();
};

BN.prototype._ishlnsubmul = function _ishlnsubmul(num, mul, shift) {
  // Bigger storage is needed
  var len = num.length + shift;
  var i;
  if (this.words.length < len) {
    var t = new Array(len);
    for (var i = 0; i < this.length; i++)
      t[i] = this.words[i];
    this.words = t;
  } else {
    i = this.length;
  }

  // Zeroify rest
  this.length = Math.max(this.length, len);
  for (; i < this.length; i++)
    this.words[i] = 0;

  var carry = 0;
  for (var i = 0; i < num.length; i++) {
    var w = this.words[i + shift] + carry;
    var right = num.words[i] * mul;
    w -= right & 0x3ffffff;
    carry = (w >> 26) - ((right / 0x4000000) | 0);
    this.words[i + shift] = w & 0x3ffffff;
  }
  for (; i < this.length - shift; i++) {
    var w = this.words[i + shift] + carry;
    carry = w >> 26;
    this.words[i + shift] = w & 0x3ffffff;
  }

  if (carry === 0)
    return this.strip();

  // Subtraction overflow
  assert(carry === -1);
  carry = 0;
  for (var i = 0; i < this.length; i++) {
    var w = -this.words[i] + carry;
    carry = w >> 26;
    this.words[i] = w & 0x3ffffff;
  }
  this.sign = true;

  return this.strip();
};

BN.prototype._wordDiv = function _wordDiv(num, mode) {
  var shift = this.length - num.length;

  var a = this.clone();
  var b = num;

  // Normalize
  var bhi = b.words[b.length - 1];
  var bhiBits = this._countBits(bhi);
  shift = 26 - bhiBits;
  if (shift !== 0) {
    b = b.ushln(shift);
    a.iushln(shift);
    bhi = b.words[b.length - 1];
  }

  // Initialize quotient
  var m = a.length - b.length;
  var q;

  if (mode !== 'mod') {
    q = new BN(null);
    q.length = m + 1;
    q.words = new Array(q.length);
    for (var i = 0; i < q.length; i++)
      q.words[i] = 0;
  }

  var diff = a.clone()._ishlnsubmul(b, 1, m);
  if (!diff.sign) {
    a = diff;
    if (q)
      q.words[m] = 1;
  }

  for (var j = m - 1; j >= 0; j--) {
    var qj = a.words[b.length + j] * 0x4000000 + a.words[b.length + j - 1];

    // NOTE: (qj / bhi) is (0x3ffffff * 0x4000000 + 0x3ffffff) / 0x2000000 max
    // (0x7ffffff)
    qj = Math.min((qj / bhi) | 0, 0x3ffffff);

    a._ishlnsubmul(b, qj, j);
    while (a.sign) {
      qj--;
      a.sign = false;
      a._ishlnsubmul(b, 1, j);
      if (a.cmpn(0) !== 0)
        a.sign = !a.sign;
    }
    if (q)
      q.words[j] = qj;
  }
  if (q)
    q.strip();
  a.strip();

  // Denormalize
  if (mode !== 'div' && shift !== 0)
    a.iushrn(shift);
  return { div: q ? q : null, mod: a };
};

BN.prototype.divmod = function divmod(num, mode, positive) {
  assert(num.cmpn(0) !== 0);

  if (this.sign && !num.sign) {
    var res = this.neg().divmod(num, mode);
    var div;
    var mod;
    if (mode !== 'mod')
      div = res.div.neg();
    if (mode !== 'div') {
      mod = res.mod.neg();
      if (positive && mod.neg)
        mod = mod.add(num);
    }
    return {
      div: div,
      mod: mod
    };
  } else if (!this.sign && num.sign) {
    var res = this.divmod(num.neg(), mode);
    var div;
    if (mode !== 'mod')
      div = res.div.neg();
    return { div: div, mod: res.mod };
  } else if (this.sign && num.sign) {
    var res = this.neg().divmod(num.neg(), mode);
    var mod;
    if (mode !== 'div') {
      mod = res.mod.neg();
      if (positive && mod.neg)
        mod = mod.isub(num);
    }
    return {
      div: res.div,
      mod: mod
    };
  }

  // Both numbers are positive at this point

  // Strip both numbers to approximate shift value
  if (num.length > this.length || this.cmp(num) < 0)
    return { div: new BN(0), mod: this };

  // Very short reduction
  if (num.length === 1) {
    if (mode === 'div')
      return { div: this.divn(num.words[0]), mod: null };
    else if (mode === 'mod')
      return { div: null, mod: new BN(this.modn(num.words[0])) };
    return {
      div: this.divn(num.words[0]),
      mod: new BN(this.modn(num.words[0]))
    };
  }

  return this._wordDiv(num, mode);
};

// Find `this` / `num`
BN.prototype.div = function div(num) {
  return this.divmod(num, 'div', false).div;
};

// Find `this` % `num`
BN.prototype.mod = function mod(num) {
  return this.divmod(num, 'mod', false).mod;
};

BN.prototype.umod = function umod(num) {
  return this.divmod(num, 'mod', true).mod;
};

// Find Round(`this` / `num`)
BN.prototype.divRound = function divRound(num) {
  var dm = this.divmod(num);

  // Fast case - exact division
  if (dm.mod.cmpn(0) === 0)
    return dm.div;

  var mod = dm.div.sign ? dm.mod.isub(num) : dm.mod;

  var half = num.ushrn(1);
  var r2 = num.andln(1);
  var cmp = mod.cmp(half);

  // Round down
  if (cmp < 0 || r2 === 1 && cmp === 0)
    return dm.div;

  // Round up
  return dm.div.sign ? dm.div.isubn(1) : dm.div.iaddn(1);
};

BN.prototype.modn = function modn(num) {
  assert(num <= 0x3ffffff);
  var p = (1 << 26) % num;

  var acc = 0;
  for (var i = this.length - 1; i >= 0; i--)
    acc = (p * acc + this.words[i]) % num;

  return acc;
};

// In-place division by number
BN.prototype.idivn = function idivn(num) {
  assert(num <= 0x3ffffff);

  var carry = 0;
  for (var i = this.length - 1; i >= 0; i--) {
    var w = this.words[i] + carry * 0x4000000;
    this.words[i] = (w / num) | 0;
    carry = w % num;
  }

  return this.strip();
};

BN.prototype.divn = function divn(num) {
  return this.clone().idivn(num);
};

BN.prototype.egcd = function egcd(p) {
  assert(!p.sign);
  assert(p.cmpn(0) !== 0);

  var x = this;
  var y = p.clone();

  if (x.sign)
    x = x.umod(p);
  else
    x = x.clone();

  // A * x + B * y = x
  var A = new BN(1);
  var B = new BN(0);

  // C * x + D * y = y
  var C = new BN(0);
  var D = new BN(1);

  var g = 0;

  while (x.isEven() && y.isEven()) {
    x.iushrn(1);
    y.iushrn(1);
    ++g;
  }

  var yp = y.clone();
  var xp = x.clone();

  while (x.cmpn(0) !== 0) {
    while (x.isEven()) {
      x.iushrn(1);
      if (A.isEven() && B.isEven()) {
        A.iushrn(1);
        B.iushrn(1);
      } else {
        A.iadd(yp).iushrn(1);
        B.isub(xp).iushrn(1);
      }
    }

    while (y.isEven()) {
      y.iushrn(1);
      if (C.isEven() && D.isEven()) {
        C.iushrn(1);
        D.iushrn(1);
      } else {
        C.iadd(yp).iushrn(1);
        D.isub(xp).iushrn(1);
      }
    }

    if (x.cmp(y) >= 0) {
      x.isub(y);
      A.isub(C);
      B.isub(D);
    } else {
      y.isub(x);
      C.isub(A);
      D.isub(B);
    }
  }

  return {
    a: C,
    b: D,
    gcd: y.iushln(g)
  };
};

// This is reduced incarnation of the binary EEA
// above, designated to invert members of the
// _prime_ fields F(p) at a maximal speed
BN.prototype._invmp = function _invmp(p) {
  assert(!p.sign);
  assert(p.cmpn(0) !== 0);

  var a = this;
  var b = p.clone();

  if (a.sign)
    a = a.umod(p);
  else
    a = a.clone();

  var x1 = new BN(1);
  var x2 = new BN(0);

  var delta = b.clone();

  while (a.cmpn(1) > 0 && b.cmpn(1) > 0) {
    while (a.isEven()) {
      a.iushrn(1);
      if (x1.isEven())
        x1.iushrn(1);
      else
        x1.iadd(delta).iushrn(1);
    }
    while (b.isEven()) {
      b.iushrn(1);
      if (x2.isEven())
        x2.iushrn(1);
      else
        x2.iadd(delta).iushrn(1);
    }
    if (a.cmp(b) >= 0) {
      a.isub(b);
      x1.isub(x2);
    } else {
      b.isub(a);
      x2.isub(x1);
    }
  }

  var res;
  if (a.cmpn(1) === 0)
    res = x1;
  else
    res = x2;

  if (res.cmpn(0) < 0)
    res.iadd(p);

  return res;
};

BN.prototype.gcd = function gcd(num) {
  if (this.cmpn(0) === 0)
    return num.clone();
  if (num.cmpn(0) === 0)
    return this.clone();

  var a = this.clone();
  var b = num.clone();
  a.sign = false;
  b.sign = false;

  // Remove common factor of two
  for (var shift = 0; a.isEven() && b.isEven(); shift++) {
    a.iushrn(1);
    b.iushrn(1);
  }

  do {
    while (a.isEven())
      a.iushrn(1);
    while (b.isEven())
      b.iushrn(1);

    var r = a.cmp(b);
    if (r < 0) {
      // Swap `a` and `b` to make `a` always bigger than `b`
      var t = a;
      a = b;
      b = t;
    } else if (r === 0 || b.cmpn(1) === 0) {
      break;
    }

    a.isub(b);
  } while (true);

  return b.iushln(shift);
};

// Invert number in the field F(num)
BN.prototype.invm = function invm(num) {
  return this.egcd(num).a.umod(num);
};

BN.prototype.isEven = function isEven() {
  return (this.words[0] & 1) === 0;
};

BN.prototype.isOdd = function isOdd() {
  return (this.words[0] & 1) === 1;
};

// And first word and num
BN.prototype.andln = function andln(num) {
  return this.words[0] & num;
};

// Increment at the bit position in-line
BN.prototype.bincn = function bincn(bit) {
  assert(typeof bit === 'number');
  var r = bit % 26;
  var s = (bit - r) / 26;
  var q = 1 << r;

  // Fast case: bit is much higher than all existing words
  if (this.length <= s) {
    for (var i = this.length; i < s + 1; i++)
      this.words[i] = 0;
    this.words[s] |= q;
    this.length = s + 1;
    return this;
  }

  // Add bit and propagate, if needed
  var carry = q;
  for (var i = s; carry !== 0 && i < this.length; i++) {
    var w = this.words[i];
    w += carry;
    carry = w >>> 26;
    w &= 0x3ffffff;
    this.words[i] = w;
  }
  if (carry !== 0) {
    this.words[i] = carry;
    this.length++;
  }
  return this;
};

BN.prototype.cmpn = function cmpn(num) {
  var sign = num < 0;
  if (sign)
    num = -num;

  if (this.sign && !sign)
    return -1;
  else if (!this.sign && sign)
    return 1;

  num &= 0x3ffffff;
  this.strip();

  var res;
  if (this.length > 1) {
    res = 1;
  } else {
    var w = this.words[0];
    res = w === num ? 0 : w < num ? -1 : 1;
  }
  if (this.sign)
    res = -res;
  return res;
};

// Compare two numbers and return:
// 1 - if `this` > `num`
// 0 - if `this` == `num`
// -1 - if `this` < `num`
BN.prototype.cmp = function cmp(num) {
  if (this.sign && !num.sign)
    return -1;
  else if (!this.sign && num.sign)
    return 1;

  var res = this.ucmp(num);
  if (this.sign)
    return -res;
  else
    return res;
};

// Unsigned comparison
BN.prototype.ucmp = function ucmp(num) {
  // At this point both numbers have the same sign
  if (this.length > num.length)
    return 1;
  else if (this.length < num.length)
    return -1;

  var res = 0;
  for (var i = this.length - 1; i >= 0; i--) {
    var a = this.words[i];
    var b = num.words[i];

    if (a === b)
      continue;
    if (a < b)
      res = -1;
    else if (a > b)
      res = 1;
    break;
  }
  return res;
};

//
// A reduce context, could be using montgomery or something better, depending
// on the `m` itself.
//
BN.red = function red(num) {
  return new Red(num);
};

BN.prototype.toRed = function toRed(ctx) {
  assert(!this.red, 'Already a number in reduction context');
  assert(!this.sign, 'red works only with positives');
  return ctx.convertTo(this)._forceRed(ctx);
};

BN.prototype.fromRed = function fromRed() {
  assert(this.red, 'fromRed works only with numbers in reduction context');
  return this.red.convertFrom(this);
};

BN.prototype._forceRed = function _forceRed(ctx) {
  this.red = ctx;
  return this;
};

BN.prototype.forceRed = function forceRed(ctx) {
  assert(!this.red, 'Already a number in reduction context');
  return this._forceRed(ctx);
};

BN.prototype.redAdd = function redAdd(num) {
  assert(this.red, 'redAdd works only with red numbers');
  return this.red.add(this, num);
};

BN.prototype.redIAdd = function redIAdd(num) {
  assert(this.red, 'redIAdd works only with red numbers');
  return this.red.iadd(this, num);
};

BN.prototype.redSub = function redSub(num) {
  assert(this.red, 'redSub works only with red numbers');
  return this.red.sub(this, num);
};

BN.prototype.redISub = function redISub(num) {
  assert(this.red, 'redISub works only with red numbers');
  return this.red.isub(this, num);
};

BN.prototype.redShl = function redShl(num) {
  assert(this.red, 'redShl works only with red numbers');
  return this.red.ushl(this, num);
};

BN.prototype.redMul = function redMul(num) {
  assert(this.red, 'redMul works only with red numbers');
  this.red._verify2(this, num);
  return this.red.mul(this, num);
};

BN.prototype.redIMul = function redIMul(num) {
  assert(this.red, 'redMul works only with red numbers');
  this.red._verify2(this, num);
  return this.red.imul(this, num);
};

BN.prototype.redSqr = function redSqr() {
  assert(this.red, 'redSqr works only with red numbers');
  this.red._verify1(this);
  return this.red.sqr(this);
};

BN.prototype.redISqr = function redISqr() {
  assert(this.red, 'redISqr works only with red numbers');
  this.red._verify1(this);
  return this.red.isqr(this);
};

// Square root over p
BN.prototype.redSqrt = function redSqrt() {
  assert(this.red, 'redSqrt works only with red numbers');
  this.red._verify1(this);
  return this.red.sqrt(this);
};

BN.prototype.redInvm = function redInvm() {
  assert(this.red, 'redInvm works only with red numbers');
  this.red._verify1(this);
  return this.red.invm(this);
};

// Return negative clone of `this` % `red modulo`
BN.prototype.redNeg = function redNeg() {
  assert(this.red, 'redNeg works only with red numbers');
  this.red._verify1(this);
  return this.red.neg(this);
};

BN.prototype.redPow = function redPow(num) {
  assert(this.red && !num.red, 'redPow(normalNum)');
  this.red._verify1(this);
  return this.red.pow(this, num);
};

// Prime numbers with efficient reduction
var primes = {
  k256: null,
  p224: null,
  p192: null,
  p25519: null
};

// Pseudo-Mersenne prime
function MPrime(name, p) {
  // P = 2 ^ N - K
  this.name = name;
  this.p = new BN(p, 16);
  this.n = this.p.bitLength();
  this.k = new BN(1).iushln(this.n).isub(this.p);

  this.tmp = this._tmp();
}

MPrime.prototype._tmp = function _tmp() {
  var tmp = new BN(null);
  tmp.words = new Array(Math.ceil(this.n / 13));
  return tmp;
};

MPrime.prototype.ireduce = function ireduce(num) {
  // Assumes that `num` is less than `P^2`
  // num = HI * (2 ^ N - K) + HI * K + LO = HI * K + LO (mod P)
  var r = num;
  var rlen;

  do {
    this.split(r, this.tmp);
    r = this.imulK(r);
    r = r.iadd(this.tmp);
    rlen = r.bitLength();
  } while (rlen > this.n);

  var cmp = rlen < this.n ? -1 : r.ucmp(this.p);
  if (cmp === 0) {
    r.words[0] = 0;
    r.length = 1;
  } else if (cmp > 0) {
    r.isub(this.p);
  } else {
    r.strip();
  }

  return r;
};

MPrime.prototype.split = function split(input, out) {
  input.iushrn(this.n, 0, out);
};

MPrime.prototype.imulK = function imulK(num) {
  return num.imul(this.k);
};

function K256() {
  MPrime.call(
    this,
    'k256',
    'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f');
}
inherits(K256, MPrime);

K256.prototype.split = function split(input, output) {
  // 256 = 9 * 26 + 22
  var mask = 0x3fffff;

  var outLen = Math.min(input.length, 9);
  for (var i = 0; i < outLen; i++)
    output.words[i] = input.words[i];
  output.length = outLen;

  if (input.length <= 9) {
    input.words[0] = 0;
    input.length = 1;
    return;
  }

  // Shift by 9 limbs
  var prev = input.words[9];
  output.words[output.length++] = prev & mask;

  for (var i = 10; i < input.length; i++) {
    var next = input.words[i];
    input.words[i - 10] = ((next & mask) << 4) | (prev >>> 22);
    prev = next;
  }
  input.words[i - 10] = prev >>> 22;
  input.length -= 9;
};

K256.prototype.imulK = function imulK(num) {
  // K = 0x1000003d1 = [ 0x40, 0x3d1 ]
  num.words[num.length] = 0;
  num.words[num.length + 1] = 0;
  num.length += 2;

  // bounded at: 0x40 * 0x3ffffff + 0x3d0 = 0x100000390
  var hi;
  var lo = 0;
  for (var i = 0; i < num.length; i++) {
    var w = num.words[i];
    hi = w * 0x40;
    lo += w * 0x3d1;
    hi += (lo / 0x4000000) | 0;
    lo &= 0x3ffffff;

    num.words[i] = lo;

    lo = hi;
  }

  // Fast length reduction
  if (num.words[num.length - 1] === 0) {
    num.length--;
    if (num.words[num.length - 1] === 0)
      num.length--;
  }
  return num;
};

function P224() {
  MPrime.call(
    this,
    'p224',
    'ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001');
}
inherits(P224, MPrime);

function P192() {
  MPrime.call(
    this,
    'p192',
    'ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff');
}
inherits(P192, MPrime);

function P25519() {
  // 2 ^ 255 - 19
  MPrime.call(
    this,
    '25519',
    '7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed');
}
inherits(P25519, MPrime);

P25519.prototype.imulK = function imulK(num) {
  // K = 0x13
  var carry = 0;
  for (var i = 0; i < num.length; i++) {
    var hi = num.words[i] * 0x13 + carry;
    var lo = hi & 0x3ffffff;
    hi >>>= 26;

    num.words[i] = lo;
    carry = hi;
  }
  if (carry !== 0)
    num.words[num.length++] = carry;
  return num;
};

// Exported mostly for testing purposes, use plain name instead
BN._prime = function prime(name) {
  // Cached version of prime
  if (primes[name])
    return primes[name];

  var prime;
  if (name === 'k256')
    prime = new K256();
  else if (name === 'p224')
    prime = new P224();
  else if (name === 'p192')
    prime = new P192();
  else if (name === 'p25519')
    prime = new P25519();
  else
    throw new Error('Unknown prime ' + name);
  primes[name] = prime;

  return prime;
};

//
// Base reduction engine
//
function Red(m) {
  if (typeof m === 'string') {
    var prime = BN._prime(m);
    this.m = prime.p;
    this.prime = prime;
  } else {
    this.m = m;
    this.prime = null;
  }
}

Red.prototype._verify1 = function _verify1(a) {
  assert(!a.sign, 'red works only with positives');
  assert(a.red, 'red works only with red numbers');
};

Red.prototype._verify2 = function _verify2(a, b) {
  assert(!a.sign && !b.sign, 'red works only with positives');
  assert(a.red && a.red === b.red,
         'red works only with red numbers');
};

Red.prototype.imod = function imod(a) {
  if (this.prime)
    return this.prime.ireduce(a)._forceRed(this);
  return a.umod(this.m)._forceRed(this);
};

Red.prototype.neg = function neg(a) {
  var r = a.clone();
  r.sign = !r.sign;
  return r.iadd(this.m)._forceRed(this);
};

Red.prototype.add = function add(a, b) {
  this._verify2(a, b);

  var res = a.add(b);
  if (res.cmp(this.m) >= 0)
    res.isub(this.m);
  return res._forceRed(this);
};

Red.prototype.iadd = function iadd(a, b) {
  this._verify2(a, b);

  var res = a.iadd(b);
  if (res.cmp(this.m) >= 0)
    res.isub(this.m);
  return res;
};

Red.prototype.sub = function sub(a, b) {
  this._verify2(a, b);

  var res = a.sub(b);
  if (res.cmpn(0) < 0)
    res.iadd(this.m);
  return res._forceRed(this);
};

Red.prototype.isub = function isub(a, b) {
  this._verify2(a, b);

  var res = a.isub(b);
  if (res.cmpn(0) < 0)
    res.iadd(this.m);
  return res;
};

Red.prototype.shl = function shl(a, num) {
  this._verify1(a);
  return this.imod(a.ushln(num));
};

Red.prototype.imul = function imul(a, b) {
  this._verify2(a, b);
  return this.imod(a.imul(b));
};

Red.prototype.mul = function mul(a, b) {
  this._verify2(a, b);
  return this.imod(a.mul(b));
};

Red.prototype.isqr = function isqr(a) {
  return this.imul(a, a);
};

Red.prototype.sqr = function sqr(a) {
  return this.mul(a, a);
};

Red.prototype.sqrt = function sqrt(a) {
  if (a.cmpn(0) === 0)
    return a.clone();

  var mod3 = this.m.andln(3);
  assert(mod3 % 2 === 1);

  // Fast case
  if (mod3 === 3) {
    var pow = this.m.add(new BN(1)).iushrn(2);
    var r = this.pow(a, pow);
    return r;
  }

  // Tonelli-Shanks algorithm (Totally unoptimized and slow)
  //
  // Find Q and S, that Q * 2 ^ S = (P - 1)
  var q = this.m.subn(1);
  var s = 0;
  while (q.cmpn(0) !== 0 && q.andln(1) === 0) {
    s++;
    q.iushrn(1);
  }
  assert(q.cmpn(0) !== 0);

  var one = new BN(1).toRed(this);
  var nOne = one.redNeg();

  // Find quadratic non-residue
  // NOTE: Max is such because of generalized Riemann hypothesis.
  var lpow = this.m.subn(1).iushrn(1);
  var z = this.m.bitLength();
  z = new BN(2 * z * z).toRed(this);
  while (this.pow(z, lpow).cmp(nOne) !== 0)
    z.redIAdd(nOne);

  var c = this.pow(z, q);
  var r = this.pow(a, q.addn(1).iushrn(1));
  var t = this.pow(a, q);
  var m = s;
  while (t.cmp(one) !== 0) {
    var tmp = t;
    for (var i = 0; tmp.cmp(one) !== 0; i++)
      tmp = tmp.redSqr();
    assert(i < m);
    var b = this.pow(c, new BN(1).iushln(m - i - 1));

    r = r.redMul(b);
    c = b.redSqr();
    t = t.redMul(c);
    m = i;
  }

  return r;
};

Red.prototype.invm = function invm(a) {
  var inv = a._invmp(this.m);
  if (inv.sign) {
    inv.sign = false;
    return this.imod(inv).redNeg();
  } else {
    return this.imod(inv);
  }
};

Red.prototype.pow = function pow(a, num) {
  var w = [];

  if (num.cmpn(0) === 0)
    return new BN(1);

  var q = num.clone();

  while (q.cmpn(0) !== 0) {
    w.push(q.andln(1));
    q.iushrn(1);
  }

  // Skip leading zeroes
  var res = a;
  for (var i = 0; i < w.length; i++, res = this.sqr(res))
    if (w[i] !== 0)
      break;

  if (++i < w.length) {
    for (var q = this.sqr(res); i < w.length; i++, q = this.sqr(q)) {
      if (w[i] === 0)
        continue;
      res = this.mul(res, q);
    }
  }

  return res;
};

Red.prototype.convertTo = function convertTo(num) {
  var r = num.umod(this.m);
  if (r === num)
    return r.clone();
  else
    return r;
};

Red.prototype.convertFrom = function convertFrom(num) {
  var res = num.clone();
  res.red = null;
  return res;
};

//
// Montgomery method engine
//

BN.mont = function mont(num) {
  return new Mont(num);
};

function Mont(m) {
  Red.call(this, m);

  this.shift = this.m.bitLength();
  if (this.shift % 26 !== 0)
    this.shift += 26 - (this.shift % 26);
  this.r = new BN(1).iushln(this.shift);
  this.r2 = this.imod(this.r.sqr());
  this.rinv = this.r._invmp(this.m);

  this.minv = this.rinv.mul(this.r).isubn(1).div(this.m);
  this.minv = this.minv.umod(this.r);
  this.minv = this.r.sub(this.minv);
}
inherits(Mont, Red);

Mont.prototype.convertTo = function convertTo(num) {
  return this.imod(num.ushln(this.shift));
};

Mont.prototype.convertFrom = function convertFrom(num) {
  var r = this.imod(num.mul(this.rinv));
  r.red = null;
  return r;
};

Mont.prototype.imul = function imul(a, b) {
  if (a.cmpn(0) === 0 || b.cmpn(0) === 0) {
    a.words[0] = 0;
    a.length = 1;
    return a;
  }

  var t = a.imul(b);
  var c = t.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m);
  var u = t.isub(c).iushrn(this.shift);
  var res = u;
  if (u.cmp(this.m) >= 0)
    res = u.isub(this.m);
  else if (u.cmpn(0) < 0)
    res = u.iadd(this.m);

  return res._forceRed(this);
};

Mont.prototype.mul = function mul(a, b) {
  if (a.cmpn(0) === 0 || b.cmpn(0) === 0)
    return new BN(0)._forceRed(this);

  var t = a.mul(b);
  var c = t.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m);
  var u = t.isub(c).iushrn(this.shift);
  var res = u;
  if (u.cmp(this.m) >= 0)
    res = u.isub(this.m);
  else if (u.cmpn(0) < 0)
    res = u.iadd(this.m);

  return res._forceRed(this);
};

Mont.prototype.invm = function invm(a) {
  // (AR)^-1 * R^2 = (A^-1 * R^-1) * R^2 = A^-1 * R
  var res = this.imod(a._invmp(this.m).mul(this.r2));
  return res._forceRed(this);
};

})(typeof module === 'undefined' || module, this);

},{}],6:[function(require,module,exports){
'use strict';

var elliptic = exports;

elliptic.version = require('../package.json').version;
elliptic.utils = require('./elliptic/utils');
elliptic.rand = require('brorand');
elliptic.hmacDRBG = require('./elliptic/hmac-drbg');
elliptic.curve = require('./elliptic/curve');
elliptic.curves = require('./elliptic/curves');

// Protocols
elliptic.ec = require('./elliptic/ec');
elliptic.eddsa = require('./elliptic/eddsa');

},{"../package.json":30,"./elliptic/curve":9,"./elliptic/curves":12,"./elliptic/ec":13,"./elliptic/eddsa":16,"./elliptic/hmac-drbg":19,"./elliptic/utils":21,"brorand":22}],7:[function(require,module,exports){
'use strict';

var bn = require('bn.js');
var elliptic = require('../../elliptic');
var utils = elliptic.utils;
var getNAF = utils.getNAF;
var getJSF = utils.getJSF;
var assert = utils.assert;

function BaseCurve(type, conf) {
  this.type = type;
  this.p = new bn(conf.p, 16);

  // Use Montgomery, when there is no fast reduction for the prime
  this.red = conf.prime ? bn.red(conf.prime) : bn.mont(this.p);

  // Useful for many curves
  this.zero = new bn(0).toRed(this.red);
  this.one = new bn(1).toRed(this.red);
  this.two = new bn(2).toRed(this.red);

  // Curve configuration, optional
  this.n = conf.n && new bn(conf.n, 16);
  this.g = conf.g && this.pointFromJSON(conf.g, conf.gRed);

  // Temporary arrays
  this._wnafT1 = new Array(4);
  this._wnafT2 = new Array(4);
  this._wnafT3 = new Array(4);
  this._wnafT4 = new Array(4);
}
module.exports = BaseCurve;

BaseCurve.prototype.point = function point() {
  throw new Error('Not implemented');
};

BaseCurve.prototype.validate = function validate() {
  throw new Error('Not implemented');
};

BaseCurve.prototype._fixedNafMul = function _fixedNafMul(p, k) {
  assert(p.precomputed);
  var doubles = p._getDoubles();

  var naf = getNAF(k, 1);
  var I = (1 << (doubles.step + 1)) - (doubles.step % 2 === 0 ? 2 : 1);
  I /= 3;

  // Translate into more windowed form
  var repr = [];
  for (var j = 0; j < naf.length; j += doubles.step) {
    var nafW = 0;
    for (var k = j + doubles.step - 1; k >= j; k--)
      nafW = (nafW << 1) + naf[k];
    repr.push(nafW);
  }

  var a = this.jpoint(null, null, null);
  var b = this.jpoint(null, null, null);
  for (var i = I; i > 0; i--) {
    for (var j = 0; j < repr.length; j++) {
      var nafW = repr[j];
      if (nafW === i)
        b = b.mixedAdd(doubles.points[j]);
      else if (nafW === -i)
        b = b.mixedAdd(doubles.points[j].neg());
    }
    a = a.add(b);
  }
  return a.toP();
};

BaseCurve.prototype._wnafMul = function _wnafMul(p, k) {
  var w = 4;

  // Precompute window
  var nafPoints = p._getNAFPoints(w);
  w = nafPoints.wnd;
  var wnd = nafPoints.points;

  // Get NAF form
  var naf = getNAF(k, w);

  // Add `this`*(N+1) for every w-NAF index
  var acc = this.jpoint(null, null, null);
  for (var i = naf.length - 1; i >= 0; i--) {
    // Count zeroes
    for (var k = 0; i >= 0 && naf[i] === 0; i--)
      k++;
    if (i >= 0)
      k++;
    acc = acc.dblp(k);

    if (i < 0)
      break;
    var z = naf[i];
    assert(z !== 0);
    if (p.type === 'affine') {
      // J +- P
      if (z > 0)
        acc = acc.mixedAdd(wnd[(z - 1) >> 1]);
      else
        acc = acc.mixedAdd(wnd[(-z - 1) >> 1].neg());
    } else {
      // J +- J
      if (z > 0)
        acc = acc.add(wnd[(z - 1) >> 1]);
      else
        acc = acc.add(wnd[(-z - 1) >> 1].neg());
    }
  }
  return p.type === 'affine' ? acc.toP() : acc;
};

BaseCurve.prototype._wnafMulAdd = function _wnafMulAdd(defW,
                                                       points,
                                                       coeffs,
                                                       len) {
  var wndWidth = this._wnafT1;
  var wnd = this._wnafT2;
  var naf = this._wnafT3;

  // Fill all arrays
  var max = 0;
  for (var i = 0; i < len; i++) {
    var p = points[i];
    var nafPoints = p._getNAFPoints(defW);
    wndWidth[i] = nafPoints.wnd;
    wnd[i] = nafPoints.points;
  }

  // Comb small window NAFs
  for (var i = len - 1; i >= 1; i -= 2) {
    var a = i - 1;
    var b = i;
    if (wndWidth[a] !== 1 || wndWidth[b] !== 1) {
      naf[a] = getNAF(coeffs[a], wndWidth[a]);
      naf[b] = getNAF(coeffs[b], wndWidth[b]);
      max = Math.max(naf[a].length, max);
      max = Math.max(naf[b].length, max);
      continue;
    }

    var comb = [
      points[a], /* 1 */
      null, /* 3 */
      null, /* 5 */
      points[b] /* 7 */
    ];

    // Try to avoid Projective points, if possible
    if (points[a].y.cmp(points[b].y) === 0) {
      comb[1] = points[a].add(points[b]);
      comb[2] = points[a].toJ().mixedAdd(points[b].neg());
    } else if (points[a].y.cmp(points[b].y.redNeg()) === 0) {
      comb[1] = points[a].toJ().mixedAdd(points[b]);
      comb[2] = points[a].add(points[b].neg());
    } else {
      comb[1] = points[a].toJ().mixedAdd(points[b]);
      comb[2] = points[a].toJ().mixedAdd(points[b].neg());
    }

    var index = [
      -3, /* -1 -1 */
      -1, /* -1 0 */
      -5, /* -1 1 */
      -7, /* 0 -1 */
      0, /* 0 0 */
      7, /* 0 1 */
      5, /* 1 -1 */
      1, /* 1 0 */
      3  /* 1 1 */
    ];

    var jsf = getJSF(coeffs[a], coeffs[b]);
    max = Math.max(jsf[0].length, max);
    naf[a] = new Array(max);
    naf[b] = new Array(max);
    for (var j = 0; j < max; j++) {
      var ja = jsf[0][j] | 0;
      var jb = jsf[1][j] | 0;

      naf[a][j] = index[(ja + 1) * 3 + (jb + 1)];
      naf[b][j] = 0;
      wnd[a] = comb;
    }
  }

  var acc = this.jpoint(null, null, null);
  var tmp = this._wnafT4;
  for (var i = max; i >= 0; i--) {
    var k = 0;

    while (i >= 0) {
      var zero = true;
      for (var j = 0; j < len; j++) {
        tmp[j] = naf[j][i] | 0;
        if (tmp[j] !== 0)
          zero = false;
      }
      if (!zero)
        break;
      k++;
      i--;
    }
    if (i >= 0)
      k++;
    acc = acc.dblp(k);
    if (i < 0)
      break;

    for (var j = 0; j < len; j++) {
      var z = tmp[j];
      var p;
      if (z === 0)
        continue;
      else if (z > 0)
        p = wnd[j][(z - 1) >> 1];
      else if (z < 0)
        p = wnd[j][(-z - 1) >> 1].neg();

      if (p.type === 'affine')
        acc = acc.mixedAdd(p);
      else
        acc = acc.add(p);
    }
  }
  // Zeroify references
  for (var i = 0; i < len; i++)
    wnd[i] = null;
  return acc.toP();
};

function BasePoint(curve, type) {
  this.curve = curve;
  this.type = type;
  this.precomputed = null;
}
BaseCurve.BasePoint = BasePoint;

BasePoint.prototype.eq = function eq(/*other*/) {
  throw new Error('Not implemented');
};

BasePoint.prototype.validate = function validate() {
  return this.curve.validate(this);
};

BaseCurve.prototype.decodePoint = function decodePoint(bytes, enc) {
  bytes = utils.toArray(bytes, enc);

  var len = this.p.byteLength();
  if (bytes[0] === 0x04 && bytes.length - 1 === 2 * len) {
    return this.point(bytes.slice(1, 1 + len),
                      bytes.slice(1 + len, 1 + 2 * len));
  } else if ((bytes[0] === 0x02 || bytes[0] === 0x03) &&
              bytes.length - 1 === len) {
    return this.pointFromX(bytes.slice(1, 1 + len), bytes[0] === 0x03);
  }
  throw new Error('Unknown point format');
};

BasePoint.prototype.encodeCompressed = function encodeCompressed(enc) {
  return this.encode(enc, true);
};

BasePoint.prototype._encode = function _encode(compact) {
  var len = this.curve.p.byteLength();
  var x = this.getX().toArray('be', len);

  if (compact)
    return [ this.getY().isEven() ? 0x02 : 0x03 ].concat(x);

  return [ 0x04 ].concat(x, this.getY().toArray('be', len)) ;
};

BasePoint.prototype.encode = function encode(enc, compact) {
  return utils.encode(this._encode(compact), enc);
};

BasePoint.prototype.precompute = function precompute(power) {
  if (this.precomputed)
    return this;

  var precomputed = {
    doubles: null,
    naf: null,
    beta: null
  };
  precomputed.naf = this._getNAFPoints(8);
  precomputed.doubles = this._getDoubles(4, power);
  precomputed.beta = this._getBeta();
  this.precomputed = precomputed;

  return this;
};

BasePoint.prototype._hasDoubles = function _hasDoubles(k) {
  if (!this.precomputed)
    return false;

  var doubles = this.precomputed.doubles;
  if (!doubles)
    return false;

  return doubles.points.length >= Math.ceil((k.bitLength() + 1) / doubles.step);
};

BasePoint.prototype._getDoubles = function _getDoubles(step, power) {
  if (this.precomputed && this.precomputed.doubles)
    return this.precomputed.doubles;

  var doubles = [ this ];
  var acc = this;
  for (var i = 0; i < power; i += step) {
    for (var j = 0; j < step; j++)
      acc = acc.dbl();
    doubles.push(acc);
  }
  return {
    step: step,
    points: doubles
  };
};

BasePoint.prototype._getNAFPoints = function _getNAFPoints(wnd) {
  if (this.precomputed && this.precomputed.naf)
    return this.precomputed.naf;

  var res = [ this ];
  var max = (1 << wnd) - 1;
  var dbl = max === 1 ? null : this.dbl();
  for (var i = 1; i < max; i++)
    res[i] = res[i - 1].add(dbl);
  return {
    wnd: wnd,
    points: res
  };
};

BasePoint.prototype._getBeta = function _getBeta() {
  return null;
};

BasePoint.prototype.dblp = function dblp(k) {
  var r = this;
  for (var i = 0; i < k; i++)
    r = r.dbl();
  return r;
};

},{"../../elliptic":6,"bn.js":5}],8:[function(require,module,exports){
'use strict';

var curve = require('../curve');
var elliptic = require('../../elliptic');
var bn = require('bn.js');
var inherits = require('inherits');
var Base = curve.base;

var assert = elliptic.utils.assert;

function EdwardsCurve(conf) {
  // NOTE: Important as we are creating point in Base.call()
  this.twisted = (conf.a | 0) !== 1;
  this.mOneA = this.twisted && (conf.a | 0) === -1;
  this.extended = this.mOneA;

  Base.call(this, 'edwards', conf);

  this.a = new bn(conf.a, 16).umod(this.red.m);
  this.a = this.a.toRed(this.red);
  this.c = new bn(conf.c, 16).toRed(this.red);
  this.c2 = this.c.redSqr();
  this.d = new bn(conf.d, 16).toRed(this.red);
  this.dd = this.d.redAdd(this.d);

  assert(!this.twisted || this.c.fromRed().cmpn(1) === 0);
  this.oneC = (conf.c | 0) === 1;
}
inherits(EdwardsCurve, Base);
module.exports = EdwardsCurve;

EdwardsCurve.prototype._mulA = function _mulA(num) {
  if (this.mOneA)
    return num.redNeg();
  else
    return this.a.redMul(num);
};

EdwardsCurve.prototype._mulC = function _mulC(num) {
  if (this.oneC)
    return num;
  else
    return this.c.redMul(num);
};

// Just for compatibility with Short curve
EdwardsCurve.prototype.jpoint = function jpoint(x, y, z, t) {
  return this.point(x, y, z, t);
};

EdwardsCurve.prototype.pointFromX = function pointFromX(x, odd) {
  x = new bn(x, 16);
  if (!x.red)
    x = x.toRed(this.red);

  var x2 = x.redSqr();
  var rhs = this.c2.redSub(this.a.redMul(x2));
  var lhs = this.one.redSub(this.c2.redMul(this.d).redMul(x2));

  var y = rhs.redMul(lhs.redInvm()).redSqrt();
  var isOdd = y.fromRed().isOdd();
  if (odd && !isOdd || !odd && isOdd)
    y = y.redNeg();

  return this.point(x, y);
};

EdwardsCurve.prototype.pointFromY = function pointFromY(y, odd) {
  y = new bn(y, 16);
  if (!y.red)
    y = y.toRed(this.red);

  // x^2 = (y^2 - 1) / (d y^2 + 1)
  var y2 = y.redSqr();
  var lhs = y2.redSub(this.one);
  var rhs = y2.redMul(this.d).redAdd(this.one);
  var x2 = lhs.redMul(rhs.redInvm());

  if (x2.cmp(this.zero) === 0) {
    if (odd)
      throw new Error('invalid point');
    else
      return this.point(this.zero, y);
  }

  var x = x2.redSqrt();
  if (x.redSqr().redSub(x2).cmp(this.zero) !== 0)
    throw new Error('invalid point');

  if (x.isOdd() !== odd)
    x = x.redNeg();

  return this.point(x, y);
};

EdwardsCurve.prototype.validate = function validate(point) {
  if (point.isInfinity())
    return true;

  // Curve: A * X^2 + Y^2 = C^2 * (1 + D * X^2 * Y^2)
  point.normalize();

  var x2 = point.x.redSqr();
  var y2 = point.y.redSqr();
  var lhs = x2.redMul(this.a).redAdd(y2);
  var rhs = this.c2.redMul(this.one.redAdd(this.d.redMul(x2).redMul(y2)));

  return lhs.cmp(rhs) === 0;
};

function Point(curve, x, y, z, t) {
  Base.BasePoint.call(this, curve, 'projective');
  if (x === null && y === null && z === null) {
    this.x = this.curve.zero;
    this.y = this.curve.one;
    this.z = this.curve.one;
    this.t = this.curve.zero;
    this.zOne = true;
  } else {
    this.x = new bn(x, 16);
    this.y = new bn(y, 16);
    this.z = z ? new bn(z, 16) : this.curve.one;
    this.t = t && new bn(t, 16);
    if (!this.x.red)
      this.x = this.x.toRed(this.curve.red);
    if (!this.y.red)
      this.y = this.y.toRed(this.curve.red);
    if (!this.z.red)
      this.z = this.z.toRed(this.curve.red);
    if (this.t && !this.t.red)
      this.t = this.t.toRed(this.curve.red);
    this.zOne = this.z === this.curve.one;

    // Use extended coordinates
    if (this.curve.extended && !this.t) {
      this.t = this.x.redMul(this.y);
      if (!this.zOne)
        this.t = this.t.redMul(this.z.redInvm());
    }
  }
}
inherits(Point, Base.BasePoint);

EdwardsCurve.prototype.pointFromJSON = function pointFromJSON(obj) {
  return Point.fromJSON(this, obj);
};

EdwardsCurve.prototype.point = function point(x, y, z, t) {
  return new Point(this, x, y, z, t);
};

Point.fromJSON = function fromJSON(curve, obj) {
  return new Point(curve, obj[0], obj[1], obj[2]);
};

Point.prototype.inspect = function inspect() {
  if (this.isInfinity())
    return '<EC Point Infinity>';
  return '<EC Point x: ' + this.x.fromRed().toString(16, 2) +
      ' y: ' + this.y.fromRed().toString(16, 2) +
      ' z: ' + this.z.fromRed().toString(16, 2) + '>';
};

Point.prototype.isInfinity = function isInfinity() {
  // XXX This code assumes that zero is always zero in red
  return this.x.cmpn(0) === 0 &&
         this.y.cmp(this.z) === 0;
};

Point.prototype._extDbl = function _extDbl() {
  // hyperelliptic.org/EFD/g1p/auto-twisted-extended-1.html
  //     #doubling-dbl-2008-hwcd
  // 4M + 4S

  // A = X1^2
  var a = this.x.redSqr();
  // B = Y1^2
  var b = this.y.redSqr();
  // C = 2 * Z1^2
  var c = this.z.redSqr();
  c = c.redIAdd(c);
  // D = a * A
  var d = this.curve._mulA(a);
  // E = (X1 + Y1)^2 - A - B
  var e = this.x.redAdd(this.y).redSqr().redISub(a).redISub(b);
  // G = D + B
  var g = d.redAdd(b);
  // F = G - C
  var f = g.redSub(c);
  // H = D - B
  var h = d.redSub(b);
  // X3 = E * F
  var nx = e.redMul(f);
  // Y3 = G * H
  var ny = g.redMul(h);
  // T3 = E * H
  var nt = e.redMul(h);
  // Z3 = F * G
  var nz = f.redMul(g);
  return this.curve.point(nx, ny, nz, nt);
};

Point.prototype._projDbl = function _projDbl() {
  // hyperelliptic.org/EFD/g1p/auto-twisted-projective.html
  //     #doubling-dbl-2008-bbjlp
  //     #doubling-dbl-2007-bl
  // and others
  // Generally 3M + 4S or 2M + 4S

  // B = (X1 + Y1)^2
  var b = this.x.redAdd(this.y).redSqr();
  // C = X1^2
  var c = this.x.redSqr();
  // D = Y1^2
  var d = this.y.redSqr();

  var nx;
  var ny;
  var nz;
  if (this.curve.twisted) {
    // E = a * C
    var e = this.curve._mulA(c);
    // F = E + D
    var f = e.redAdd(d);
    if (this.zOne) {
      // X3 = (B - C - D) * (F - 2)
      nx = b.redSub(c).redSub(d).redMul(f.redSub(this.curve.two));
      // Y3 = F * (E - D)
      ny = f.redMul(e.redSub(d));
      // Z3 = F^2 - 2 * F
      nz = f.redSqr().redSub(f).redSub(f);
    } else {
      // H = Z1^2
      var h = this.z.redSqr();
      // J = F - 2 * H
      var j = f.redSub(h).redISub(h);
      // X3 = (B-C-D)*J
      nx = b.redSub(c).redISub(d).redMul(j);
      // Y3 = F * (E - D)
      ny = f.redMul(e.redSub(d));
      // Z3 = F * J
      nz = f.redMul(j);
    }
  } else {
    // E = C + D
    var e = c.redAdd(d);
    // H = (c * Z1)^2
    var h = this.curve._mulC(this.c.redMul(this.z)).redSqr();
    // J = E - 2 * H
    var j = e.redSub(h).redSub(h);
    // X3 = c * (B - E) * J
    nx = this.curve._mulC(b.redISub(e)).redMul(j);
    // Y3 = c * E * (C - D)
    ny = this.curve._mulC(e).redMul(c.redISub(d));
    // Z3 = E * J
    nz = e.redMul(j);
  }
  return this.curve.point(nx, ny, nz);
};

Point.prototype.dbl = function dbl() {
  if (this.isInfinity())
    return this;

  // Double in extended coordinates
  if (this.curve.extended)
    return this._extDbl();
  else
    return this._projDbl();
};

Point.prototype._extAdd = function _extAdd(p) {
  // hyperelliptic.org/EFD/g1p/auto-twisted-extended-1.html
  //     #addition-add-2008-hwcd-3
  // 8M

  // A = (Y1 - X1) * (Y2 - X2)
  var a = this.y.redSub(this.x).redMul(p.y.redSub(p.x));
  // B = (Y1 + X1) * (Y2 + X2)
  var b = this.y.redAdd(this.x).redMul(p.y.redAdd(p.x));
  // C = T1 * k * T2
  var c = this.t.redMul(this.curve.dd).redMul(p.t);
  // D = Z1 * 2 * Z2
  var d = this.z.redMul(p.z.redAdd(p.z));
  // E = B - A
  var e = b.redSub(a);
  // F = D - C
  var f = d.redSub(c);
  // G = D + C
  var g = d.redAdd(c);
  // H = B + A
  var h = b.redAdd(a);
  // X3 = E * F
  var nx = e.redMul(f);
  // Y3 = G * H
  var ny = g.redMul(h);
  // T3 = E * H
  var nt = e.redMul(h);
  // Z3 = F * G
  var nz = f.redMul(g);
  return this.curve.point(nx, ny, nz, nt);
};

Point.prototype._projAdd = function _projAdd(p) {
  // hyperelliptic.org/EFD/g1p/auto-twisted-projective.html
  //     #addition-add-2008-bbjlp
  //     #addition-add-2007-bl
  // 10M + 1S

  // A = Z1 * Z2
  var a = this.z.redMul(p.z);
  // B = A^2
  var b = a.redSqr();
  // C = X1 * X2
  var c = this.x.redMul(p.x);
  // D = Y1 * Y2
  var d = this.y.redMul(p.y);
  // E = d * C * D
  var e = this.curve.d.redMul(c).redMul(d);
  // F = B - E
  var f = b.redSub(e);
  // G = B + E
  var g = b.redAdd(e);
  // X3 = A * F * ((X1 + Y1) * (X2 + Y2) - C - D)
  var tmp = this.x.redAdd(this.y).redMul(p.x.redAdd(p.y)).redISub(c).redISub(d);
  var nx = a.redMul(f).redMul(tmp);
  var ny;
  var nz;
  if (this.curve.twisted) {
    // Y3 = A * G * (D - a * C)
    ny = a.redMul(g).redMul(d.redSub(this.curve._mulA(c)));
    // Z3 = F * G
    nz = f.redMul(g);
  } else {
    // Y3 = A * G * (D - C)
    ny = a.redMul(g).redMul(d.redSub(c));
    // Z3 = c * F * G
    nz = this.curve._mulC(f).redMul(g);
  }
  return this.curve.point(nx, ny, nz);
};

Point.prototype.add = function add(p) {
  if (this.isInfinity())
    return p;
  if (p.isInfinity())
    return this;

  if (this.curve.extended)
    return this._extAdd(p);
  else
    return this._projAdd(p);
};

Point.prototype.mul = function mul(k) {
  if (this._hasDoubles(k))
    return this.curve._fixedNafMul(this, k);
  else
    return this.curve._wnafMul(this, k);
};

Point.prototype.mulAdd = function mulAdd(k1, p, k2) {
  return this.curve._wnafMulAdd(1, [ this, p ], [ k1, k2 ], 2);
};

Point.prototype.normalize = function normalize() {
  if (this.zOne)
    return this;

  // Normalize coordinates
  var zi = this.z.redInvm();
  this.x = this.x.redMul(zi);
  this.y = this.y.redMul(zi);
  if (this.t)
    this.t = this.t.redMul(zi);
  this.z = this.curve.one;
  this.zOne = true;
  return this;
};

Point.prototype.neg = function neg() {
  return this.curve.point(this.x.redNeg(),
                          this.y,
                          this.z,
                          this.t && this.t.redNeg());
};

Point.prototype.getX = function getX() {
  this.normalize();
  return this.x.fromRed();
};

Point.prototype.getY = function getY() {
  this.normalize();
  return this.y.fromRed();
};

Point.prototype.eq = function eq(other) {
  return this === other ||
         this.getX().cmp(other.getX()) === 0 &&
         this.getY().cmp(other.getY()) === 0;
};

// Compatibility with BaseCurve
Point.prototype.toP = Point.prototype.normalize;
Point.prototype.mixedAdd = Point.prototype.add;

},{"../../elliptic":6,"../curve":9,"bn.js":5,"inherits":29}],9:[function(require,module,exports){
'use strict';

var curve = exports;

curve.base = require('./base');
curve.short = require('./short');
curve.mont = require('./mont');
curve.edwards = require('./edwards');

},{"./base":7,"./edwards":8,"./mont":10,"./short":11}],10:[function(require,module,exports){
'use strict';

var curve = require('../curve');
var bn = require('bn.js');
var inherits = require('inherits');
var Base = curve.base;

var elliptic = require('../../elliptic');
var utils = elliptic.utils;

function MontCurve(conf) {
  Base.call(this, 'mont', conf);

  this.a = new bn(conf.a, 16).toRed(this.red);
  this.b = new bn(conf.b, 16).toRed(this.red);
  this.i4 = new bn(4).toRed(this.red).redInvm();
  this.two = new bn(2).toRed(this.red);
  this.a24 = this.i4.redMul(this.a.redAdd(this.two));
}
inherits(MontCurve, Base);
module.exports = MontCurve;

MontCurve.prototype.validate = function validate(point) {
  var x = point.normalize().x;
  var x2 = x.redSqr();
  var rhs = x2.redMul(x).redAdd(x2.redMul(this.a)).redAdd(x);
  var y = rhs.redSqrt();

  return y.redSqr().cmp(rhs) === 0;
};

function Point(curve, x, z) {
  Base.BasePoint.call(this, curve, 'projective');
  if (x === null && z === null) {
    this.x = this.curve.one;
    this.z = this.curve.zero;
  } else {
    this.x = new bn(x, 16);
    this.z = new bn(z, 16);
    if (!this.x.red)
      this.x = this.x.toRed(this.curve.red);
    if (!this.z.red)
      this.z = this.z.toRed(this.curve.red);
  }
}
inherits(Point, Base.BasePoint);

MontCurve.prototype.decodePoint = function decodePoint(bytes, enc) {
  return this.point(utils.toArray(bytes, enc), 1);
};

MontCurve.prototype.point = function point(x, z) {
  return new Point(this, x, z);
};

MontCurve.prototype.pointFromJSON = function pointFromJSON(obj) {
  return Point.fromJSON(this, obj);
};

Point.prototype.precompute = function precompute() {
  // No-op
};

Point.prototype._encode = function _encode() {
  return this.getX().toArray('be', this.curve.p.byteLength());
};

Point.fromJSON = function fromJSON(curve, obj) {
  return new Point(curve, obj[0], obj[1] || curve.one);
};

Point.prototype.inspect = function inspect() {
  if (this.isInfinity())
    return '<EC Point Infinity>';
  return '<EC Point x: ' + this.x.fromRed().toString(16, 2) +
      ' z: ' + this.z.fromRed().toString(16, 2) + '>';
};

Point.prototype.isInfinity = function isInfinity() {
  // XXX This code assumes that zero is always zero in red
  return this.z.cmpn(0) === 0;
};

Point.prototype.dbl = function dbl() {
  // http://hyperelliptic.org/EFD/g1p/auto-montgom-xz.html#doubling-dbl-1987-m-3
  // 2M + 2S + 4A

  // A = X1 + Z1
  var a = this.x.redAdd(this.z);
  // AA = A^2
  var aa = a.redSqr();
  // B = X1 - Z1
  var b = this.x.redSub(this.z);
  // BB = B^2
  var bb = b.redSqr();
  // C = AA - BB
  var c = aa.redSub(bb);
  // X3 = AA * BB
  var nx = aa.redMul(bb);
  // Z3 = C * (BB + A24 * C)
  var nz = c.redMul(bb.redAdd(this.curve.a24.redMul(c)));
  return this.curve.point(nx, nz);
};

Point.prototype.add = function add() {
  throw new Error('Not supported on Montgomery curve');
};

Point.prototype.diffAdd = function diffAdd(p, diff) {
  // http://hyperelliptic.org/EFD/g1p/auto-montgom-xz.html#diffadd-dadd-1987-m-3
  // 4M + 2S + 6A

  // A = X2 + Z2
  var a = this.x.redAdd(this.z);
  // B = X2 - Z2
  var b = this.x.redSub(this.z);
  // C = X3 + Z3
  var c = p.x.redAdd(p.z);
  // D = X3 - Z3
  var d = p.x.redSub(p.z);
  // DA = D * A
  var da = d.redMul(a);
  // CB = C * B
  var cb = c.redMul(b);
  // X5 = Z1 * (DA + CB)^2
  var nx = diff.z.redMul(da.redAdd(cb).redSqr());
  // Z5 = X1 * (DA - CB)^2
  var nz = diff.x.redMul(da.redISub(cb).redSqr());
  return this.curve.point(nx, nz);
};

Point.prototype.mul = function mul(k) {
  var t = k.clone();
  var a = this; // (N / 2) * Q + Q
  var b = this.curve.point(null, null); // (N / 2) * Q
  var c = this; // Q

  for (var bits = []; t.cmpn(0) !== 0; t.iushrn(1))
    bits.push(t.andln(1));

  for (var i = bits.length - 1; i >= 0; i--) {
    if (bits[i] === 0) {
      // N * Q + Q = ((N / 2) * Q + Q)) + (N / 2) * Q
      a = a.diffAdd(b, c);
      // N * Q = 2 * ((N / 2) * Q + Q))
      b = b.dbl();
    } else {
      // N * Q = ((N / 2) * Q + Q) + ((N / 2) * Q)
      b = a.diffAdd(b, c);
      // N * Q + Q = 2 * ((N / 2) * Q + Q)
      a = a.dbl();
    }
  }
  return b;
};

Point.prototype.mulAdd = function mulAdd() {
  throw new Error('Not supported on Montgomery curve');
};

Point.prototype.eq = function eq(other) {
  return this.getX().cmp(other.getX()) === 0;
};

Point.prototype.normalize = function normalize() {
  this.x = this.x.redMul(this.z.redInvm());
  this.z = this.curve.one;
  return this;
};

Point.prototype.getX = function getX() {
  // Normalize coordinates
  this.normalize();

  return this.x.fromRed();
};

},{"../../elliptic":6,"../curve":9,"bn.js":5,"inherits":29}],11:[function(require,module,exports){
'use strict';

var curve = require('../curve');
var elliptic = require('../../elliptic');
var bn = require('bn.js');
var inherits = require('inherits');
var Base = curve.base;

var assert = elliptic.utils.assert;

function ShortCurve(conf) {
  Base.call(this, 'short', conf);

  this.a = new bn(conf.a, 16).toRed(this.red);
  this.b = new bn(conf.b, 16).toRed(this.red);
  this.tinv = this.two.redInvm();

  this.zeroA = this.a.fromRed().cmpn(0) === 0;
  this.threeA = this.a.fromRed().sub(this.p).cmpn(-3) === 0;

  // If the curve is endomorphic, precalculate beta and lambda
  this.endo = this._getEndomorphism(conf);
  this._endoWnafT1 = new Array(4);
  this._endoWnafT2 = new Array(4);
}
inherits(ShortCurve, Base);
module.exports = ShortCurve;

ShortCurve.prototype._getEndomorphism = function _getEndomorphism(conf) {
  // No efficient endomorphism
  if (!this.zeroA || !this.g || !this.n || this.p.modn(3) !== 1)
    return;

  // Compute beta and lambda, that lambda * P = (beta * Px; Py)
  var beta;
  var lambda;
  if (conf.beta) {
    beta = new bn(conf.beta, 16).toRed(this.red);
  } else {
    var betas = this._getEndoRoots(this.p);
    // Choose the smallest beta
    beta = betas[0].cmp(betas[1]) < 0 ? betas[0] : betas[1];
    beta = beta.toRed(this.red);
  }
  if (conf.lambda) {
    lambda = new bn(conf.lambda, 16);
  } else {
    // Choose the lambda that is matching selected beta
    var lambdas = this._getEndoRoots(this.n);
    if (this.g.mul(lambdas[0]).x.cmp(this.g.x.redMul(beta)) === 0) {
      lambda = lambdas[0];
    } else {
      lambda = lambdas[1];
      assert(this.g.mul(lambda).x.cmp(this.g.x.redMul(beta)) === 0);
    }
  }

  // Get basis vectors, used for balanced length-two representation
  var basis;
  if (conf.basis) {
    basis = conf.basis.map(function(vec) {
      return {
        a: new bn(vec.a, 16),
        b: new bn(vec.b, 16)
      };
    });
  } else {
    basis = this._getEndoBasis(lambda);
  }

  return {
    beta: beta,
    lambda: lambda,
    basis: basis
  };
};

ShortCurve.prototype._getEndoRoots = function _getEndoRoots(num) {
  // Find roots of for x^2 + x + 1 in F
  // Root = (-1 +- Sqrt(-3)) / 2
  //
  var red = num === this.p ? this.red : bn.mont(num);
  var tinv = new bn(2).toRed(red).redInvm();
  var ntinv = tinv.redNeg();

  var s = new bn(3).toRed(red).redNeg().redSqrt().redMul(tinv);

  var l1 = ntinv.redAdd(s).fromRed();
  var l2 = ntinv.redSub(s).fromRed();
  return [ l1, l2 ];
};

ShortCurve.prototype._getEndoBasis = function _getEndoBasis(lambda) {
  // aprxSqrt >= sqrt(this.n)
  var aprxSqrt = this.n.ushrn(Math.floor(this.n.bitLength() / 2));

  // 3.74
  // Run EGCD, until r(L + 1) < aprxSqrt
  var u = lambda;
  var v = this.n.clone();
  var x1 = new bn(1);
  var y1 = new bn(0);
  var x2 = new bn(0);
  var y2 = new bn(1);

  // NOTE: all vectors are roots of: a + b * lambda = 0 (mod n)
  var a0;
  var b0;
  // First vector
  var a1;
  var b1;
  // Second vector
  var a2;
  var b2;

  var prevR;
  var i = 0;
  var r;
  var x;
  while (u.cmpn(0) !== 0) {
    var q = v.div(u);
    r = v.sub(q.mul(u));
    x = x2.sub(q.mul(x1));
    var y = y2.sub(q.mul(y1));

    if (!a1 && r.cmp(aprxSqrt) < 0) {
      a0 = prevR.neg();
      b0 = x1;
      a1 = r.neg();
      b1 = x;
    } else if (a1 && ++i === 2) {
      break;
    }
    prevR = r;

    v = u;
    u = r;
    x2 = x1;
    x1 = x;
    y2 = y1;
    y1 = y;
  }
  a2 = r.neg();
  b2 = x;

  var len1 = a1.sqr().add(b1.sqr());
  var len2 = a2.sqr().add(b2.sqr());
  if (len2.cmp(len1) >= 0) {
    a2 = a0;
    b2 = b0;
  }

  // Normalize signs
  if (a1.sign) {
    a1 = a1.neg();
    b1 = b1.neg();
  }
  if (a2.sign) {
    a2 = a2.neg();
    b2 = b2.neg();
  }

  return [
    { a: a1, b: b1 },
    { a: a2, b: b2 }
  ];
};

ShortCurve.prototype._endoSplit = function _endoSplit(k) {
  var basis = this.endo.basis;
  var v1 = basis[0];
  var v2 = basis[1];

  var c1 = v2.b.mul(k).divRound(this.n);
  var c2 = v1.b.neg().mul(k).divRound(this.n);

  var p1 = c1.mul(v1.a);
  var p2 = c2.mul(v2.a);
  var q1 = c1.mul(v1.b);
  var q2 = c2.mul(v2.b);

  // Calculate answer
  var k1 = k.sub(p1).sub(p2);
  var k2 = q1.add(q2).neg();
  return { k1: k1, k2: k2 };
};

ShortCurve.prototype.pointFromX = function pointFromX(x, odd) {
  x = new bn(x, 16);
  if (!x.red)
    x = x.toRed(this.red);

  var y2 = x.redSqr().redMul(x).redIAdd(x.redMul(this.a)).redIAdd(this.b);
  var y = y2.redSqrt();

  // XXX Is there any way to tell if the number is odd without converting it
  // to non-red form?
  var isOdd = y.fromRed().isOdd();
  if (odd && !isOdd || !odd && isOdd)
    y = y.redNeg();

  return this.point(x, y);
};

ShortCurve.prototype.validate = function validate(point) {
  if (point.inf)
    return true;

  var x = point.x;
  var y = point.y;

  var ax = this.a.redMul(x);
  var rhs = x.redSqr().redMul(x).redIAdd(ax).redIAdd(this.b);
  return y.redSqr().redISub(rhs).cmpn(0) === 0;
};

ShortCurve.prototype._endoWnafMulAdd =
    function _endoWnafMulAdd(points, coeffs) {
  var npoints = this._endoWnafT1;
  var ncoeffs = this._endoWnafT2;
  for (var i = 0; i < points.length; i++) {
    var split = this._endoSplit(coeffs[i]);
    var p = points[i];
    var beta = p._getBeta();

    if (split.k1.sign) {
      split.k1.sign = !split.k1.sign;
      p = p.neg(true);
    }
    if (split.k2.sign) {
      split.k2.sign = !split.k2.sign;
      beta = beta.neg(true);
    }

    npoints[i * 2] = p;
    npoints[i * 2 + 1] = beta;
    ncoeffs[i * 2] = split.k1;
    ncoeffs[i * 2 + 1] = split.k2;
  }
  var res = this._wnafMulAdd(1, npoints, ncoeffs, i * 2);

  // Clean-up references to points and coefficients
  for (var j = 0; j < i * 2; j++) {
    npoints[j] = null;
    ncoeffs[j] = null;
  }
  return res;
};

function Point(curve, x, y, isRed) {
  Base.BasePoint.call(this, curve, 'affine');
  if (x === null && y === null) {
    this.x = null;
    this.y = null;
    this.inf = true;
  } else {
    this.x = new bn(x, 16);
    this.y = new bn(y, 16);
    // Force redgomery representation when loading from JSON
    if (isRed) {
      this.x.forceRed(this.curve.red);
      this.y.forceRed(this.curve.red);
    }
    if (!this.x.red)
      this.x = this.x.toRed(this.curve.red);
    if (!this.y.red)
      this.y = this.y.toRed(this.curve.red);
    this.inf = false;
  }
}
inherits(Point, Base.BasePoint);

ShortCurve.prototype.point = function point(x, y, isRed) {
  return new Point(this, x, y, isRed);
};

ShortCurve.prototype.pointFromJSON = function pointFromJSON(obj, red) {
  return Point.fromJSON(this, obj, red);
};

Point.prototype._getBeta = function _getBeta() {
  if (!this.curve.endo)
    return;

  var pre = this.precomputed;
  if (pre && pre.beta)
    return pre.beta;

  var beta = this.curve.point(this.x.redMul(this.curve.endo.beta), this.y);
  if (pre) {
    var curve = this.curve;
    var endoMul = function(p) {
      return curve.point(p.x.redMul(curve.endo.beta), p.y);
    };
    pre.beta = beta;
    beta.precomputed = {
      beta: null,
      naf: pre.naf && {
        wnd: pre.naf.wnd,
        points: pre.naf.points.map(endoMul)
      },
      doubles: pre.doubles && {
        step: pre.doubles.step,
        points: pre.doubles.points.map(endoMul)
      }
    };
  }
  return beta;
};

Point.prototype.toJSON = function toJSON() {
  if (!this.precomputed)
    return [ this.x, this.y ];

  return [ this.x, this.y, this.precomputed && {
    doubles: this.precomputed.doubles && {
      step: this.precomputed.doubles.step,
      points: this.precomputed.doubles.points.slice(1)
    },
    naf: this.precomputed.naf && {
      wnd: this.precomputed.naf.wnd,
      points: this.precomputed.naf.points.slice(1)
    }
  } ];
};

Point.fromJSON = function fromJSON(curve, obj, red) {
  if (typeof obj === 'string')
    obj = JSON.parse(obj);
  var res = curve.point(obj[0], obj[1], red);
  if (!obj[2])
    return res;

  function obj2point(obj) {
    return curve.point(obj[0], obj[1], red);
  }

  var pre = obj[2];
  res.precomputed = {
    beta: null,
    doubles: pre.doubles && {
      step: pre.doubles.step,
      points: [ res ].concat(pre.doubles.points.map(obj2point))
    },
    naf: pre.naf && {
      wnd: pre.naf.wnd,
      points: [ res ].concat(pre.naf.points.map(obj2point))
    }
  };
  return res;
};

Point.prototype.inspect = function inspect() {
  if (this.isInfinity())
    return '<EC Point Infinity>';
  return '<EC Point x: ' + this.x.fromRed().toString(16, 2) +
      ' y: ' + this.y.fromRed().toString(16, 2) + '>';
};

Point.prototype.isInfinity = function isInfinity() {
  return this.inf;
};

Point.prototype.add = function add(p) {
  // O + P = P
  if (this.inf)
    return p;

  // P + O = P
  if (p.inf)
    return this;

  // P + P = 2P
  if (this.eq(p))
    return this.dbl();

  // P + (-P) = O
  if (this.neg().eq(p))
    return this.curve.point(null, null);

  // P + Q = O
  if (this.x.cmp(p.x) === 0)
    return this.curve.point(null, null);

  var c = this.y.redSub(p.y);
  if (c.cmpn(0) !== 0)
    c = c.redMul(this.x.redSub(p.x).redInvm());
  var nx = c.redSqr().redISub(this.x).redISub(p.x);
  var ny = c.redMul(this.x.redSub(nx)).redISub(this.y);
  return this.curve.point(nx, ny);
};

Point.prototype.dbl = function dbl() {
  if (this.inf)
    return this;

  // 2P = O
  var ys1 = this.y.redAdd(this.y);
  if (ys1.cmpn(0) === 0)
    return this.curve.point(null, null);

  var a = this.curve.a;

  var x2 = this.x.redSqr();
  var dyinv = ys1.redInvm();
  var c = x2.redAdd(x2).redIAdd(x2).redIAdd(a).redMul(dyinv);

  var nx = c.redSqr().redISub(this.x.redAdd(this.x));
  var ny = c.redMul(this.x.redSub(nx)).redISub(this.y);
  return this.curve.point(nx, ny);
};

Point.prototype.getX = function getX() {
  return this.x.fromRed();
};

Point.prototype.getY = function getY() {
  return this.y.fromRed();
};

Point.prototype.mul = function mul(k) {
  k = new bn(k, 16);

  if (this._hasDoubles(k))
    return this.curve._fixedNafMul(this, k);
  else if (this.curve.endo)
    return this.curve._endoWnafMulAdd([ this ], [ k ]);
  else
    return this.curve._wnafMul(this, k);
};

Point.prototype.mulAdd = function mulAdd(k1, p2, k2) {
  var points = [ this, p2 ];
  var coeffs = [ k1, k2 ];
  if (this.curve.endo)
    return this.curve._endoWnafMulAdd(points, coeffs);
  else
    return this.curve._wnafMulAdd(1, points, coeffs, 2);
};

Point.prototype.eq = function eq(p) {
  return this === p ||
         this.inf === p.inf &&
             (this.inf || this.x.cmp(p.x) === 0 && this.y.cmp(p.y) === 0);
};

Point.prototype.neg = function neg(_precompute) {
  if (this.inf)
    return this;

  var res = this.curve.point(this.x, this.y.redNeg());
  if (_precompute && this.precomputed) {
    var pre = this.precomputed;
    var negate = function(p) {
      return p.neg();
    };
    res.precomputed = {
      naf: pre.naf && {
        wnd: pre.naf.wnd,
        points: pre.naf.points.map(negate)
      },
      doubles: pre.doubles && {
        step: pre.doubles.step,
        points: pre.doubles.points.map(negate)
      }
    };
  }
  return res;
};

Point.prototype.toJ = function toJ() {
  if (this.inf)
    return this.curve.jpoint(null, null, null);

  var res = this.curve.jpoint(this.x, this.y, this.curve.one);
  return res;
};

function JPoint(curve, x, y, z) {
  Base.BasePoint.call(this, curve, 'jacobian');
  if (x === null && y === null && z === null) {
    this.x = this.curve.one;
    this.y = this.curve.one;
    this.z = new bn(0);
  } else {
    this.x = new bn(x, 16);
    this.y = new bn(y, 16);
    this.z = new bn(z, 16);
  }
  if (!this.x.red)
    this.x = this.x.toRed(this.curve.red);
  if (!this.y.red)
    this.y = this.y.toRed(this.curve.red);
  if (!this.z.red)
    this.z = this.z.toRed(this.curve.red);

  this.zOne = this.z === this.curve.one;
}
inherits(JPoint, Base.BasePoint);

ShortCurve.prototype.jpoint = function jpoint(x, y, z) {
  return new JPoint(this, x, y, z);
};

JPoint.prototype.toP = function toP() {
  if (this.isInfinity())
    return this.curve.point(null, null);

  var zinv = this.z.redInvm();
  var zinv2 = zinv.redSqr();
  var ax = this.x.redMul(zinv2);
  var ay = this.y.redMul(zinv2).redMul(zinv);

  return this.curve.point(ax, ay);
};

JPoint.prototype.neg = function neg() {
  return this.curve.jpoint(this.x, this.y.redNeg(), this.z);
};

JPoint.prototype.add = function add(p) {
  // O + P = P
  if (this.isInfinity())
    return p;

  // P + O = P
  if (p.isInfinity())
    return this;

  // 12M + 4S + 7A
  var pz2 = p.z.redSqr();
  var z2 = this.z.redSqr();
  var u1 = this.x.redMul(pz2);
  var u2 = p.x.redMul(z2);
  var s1 = this.y.redMul(pz2.redMul(p.z));
  var s2 = p.y.redMul(z2.redMul(this.z));

  var h = u1.redSub(u2);
  var r = s1.redSub(s2);
  if (h.cmpn(0) === 0) {
    if (r.cmpn(0) !== 0)
      return this.curve.jpoint(null, null, null);
    else
      return this.dbl();
  }

  var h2 = h.redSqr();
  var h3 = h2.redMul(h);
  var v = u1.redMul(h2);

  var nx = r.redSqr().redIAdd(h3).redISub(v).redISub(v);
  var ny = r.redMul(v.redISub(nx)).redISub(s1.redMul(h3));
  var nz = this.z.redMul(p.z).redMul(h);

  return this.curve.jpoint(nx, ny, nz);
};

JPoint.prototype.mixedAdd = function mixedAdd(p) {
  // O + P = P
  if (this.isInfinity())
    return p.toJ();

  // P + O = P
  if (p.isInfinity())
    return this;

  // 8M + 3S + 7A
  var z2 = this.z.redSqr();
  var u1 = this.x;
  var u2 = p.x.redMul(z2);
  var s1 = this.y;
  var s2 = p.y.redMul(z2).redMul(this.z);

  var h = u1.redSub(u2);
  var r = s1.redSub(s2);
  if (h.cmpn(0) === 0) {
    if (r.cmpn(0) !== 0)
      return this.curve.jpoint(null, null, null);
    else
      return this.dbl();
  }

  var h2 = h.redSqr();
  var h3 = h2.redMul(h);
  var v = u1.redMul(h2);

  var nx = r.redSqr().redIAdd(h3).redISub(v).redISub(v);
  var ny = r.redMul(v.redISub(nx)).redISub(s1.redMul(h3));
  var nz = this.z.redMul(h);

  return this.curve.jpoint(nx, ny, nz);
};

JPoint.prototype.dblp = function dblp(pow) {
  if (pow === 0)
    return this;
  if (this.isInfinity())
    return this;
  if (!pow)
    return this.dbl();

  if (this.curve.zeroA || this.curve.threeA) {
    var r = this;
    for (var i = 0; i < pow; i++)
      r = r.dbl();
    return r;
  }

  // 1M + 2S + 1A + N * (4S + 5M + 8A)
  // N = 1 => 6M + 6S + 9A
  var a = this.curve.a;
  var tinv = this.curve.tinv;

  var jx = this.x;
  var jy = this.y;
  var jz = this.z;
  var jz4 = jz.redSqr().redSqr();

  // Reuse results
  var jyd = jy.redAdd(jy);
  for (var i = 0; i < pow; i++) {
    var jx2 = jx.redSqr();
    var jyd2 = jyd.redSqr();
    var jyd4 = jyd2.redSqr();
    var c = jx2.redAdd(jx2).redIAdd(jx2).redIAdd(a.redMul(jz4));

    var t1 = jx.redMul(jyd2);
    var nx = c.redSqr().redISub(t1.redAdd(t1));
    var t2 = t1.redISub(nx);
    var dny = c.redMul(t2);
    dny = dny.redIAdd(dny).redISub(jyd4);
    var nz = jyd.redMul(jz);
    if (i + 1 < pow)
      jz4 = jz4.redMul(jyd4);

    jx = nx;
    jz = nz;
    jyd = dny;
  }

  return this.curve.jpoint(jx, jyd.redMul(tinv), jz);
};

JPoint.prototype.dbl = function dbl() {
  if (this.isInfinity())
    return this;

  if (this.curve.zeroA)
    return this._zeroDbl();
  else if (this.curve.threeA)
    return this._threeDbl();
  else
    return this._dbl();
};

JPoint.prototype._zeroDbl = function _zeroDbl() {
  var nx;
  var ny;
  var nz;
  // Z = 1
  if (this.zOne) {
    // hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html
    //     #doubling-mdbl-2007-bl
    // 1M + 5S + 14A

    // XX = X1^2
    var xx = this.x.redSqr();
    // YY = Y1^2
    var yy = this.y.redSqr();
    // YYYY = YY^2
    var yyyy = yy.redSqr();
    // S = 2 * ((X1 + YY)^2 - XX - YYYY)
    var s = this.x.redAdd(yy).redSqr().redISub(xx).redISub(yyyy);
    s = s.redIAdd(s);
    // M = 3 * XX + a; a = 0
    var m = xx.redAdd(xx).redIAdd(xx);
    // T = M ^ 2 - 2*S
    var t = m.redSqr().redISub(s).redISub(s);

    // 8 * YYYY
    var yyyy8 = yyyy.redIAdd(yyyy);
    yyyy8 = yyyy8.redIAdd(yyyy8);
    yyyy8 = yyyy8.redIAdd(yyyy8);

    // X3 = T
    nx = t;
    // Y3 = M * (S - T) - 8 * YYYY
    ny = m.redMul(s.redISub(t)).redISub(yyyy8);
    // Z3 = 2*Y1
    nz = this.y.redAdd(this.y);
  } else {
    // hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html
    //     #doubling-dbl-2009-l
    // 2M + 5S + 13A

    // A = X1^2
    var a = this.x.redSqr();
    // B = Y1^2
    var b = this.y.redSqr();
    // C = B^2
    var c = b.redSqr();
    // D = 2 * ((X1 + B)^2 - A - C)
    var d = this.x.redAdd(b).redSqr().redISub(a).redISub(c);
    d = d.redIAdd(d);
    // E = 3 * A
    var e = a.redAdd(a).redIAdd(a);
    // F = E^2
    var f = e.redSqr();

    // 8 * C
    var c8 = c.redIAdd(c);
    c8 = c8.redIAdd(c8);
    c8 = c8.redIAdd(c8);

    // X3 = F - 2 * D
    nx = f.redISub(d).redISub(d);
    // Y3 = E * (D - X3) - 8 * C
    ny = e.redMul(d.redISub(nx)).redISub(c8);
    // Z3 = 2 * Y1 * Z1
    nz = this.y.redMul(this.z);
    nz = nz.redIAdd(nz);
  }

  return this.curve.jpoint(nx, ny, nz);
};

JPoint.prototype._threeDbl = function _threeDbl() {
  var nx;
  var ny;
  var nz;
  // Z = 1
  if (this.zOne) {
    // hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-3.html
    //     #doubling-mdbl-2007-bl
    // 1M + 5S + 15A

    // XX = X1^2
    var xx = this.x.redSqr();
    // YY = Y1^2
    var yy = this.y.redSqr();
    // YYYY = YY^2
    var yyyy = yy.redSqr();
    // S = 2 * ((X1 + YY)^2 - XX - YYYY)
    var s = this.x.redAdd(yy).redSqr().redISub(xx).redISub(yyyy);
    s = s.redIAdd(s);
    // M = 3 * XX + a
    var m = xx.redAdd(xx).redIAdd(xx).redIAdd(this.curve.a);
    // T = M^2 - 2 * S
    var t = m.redSqr().redISub(s).redISub(s);
    // X3 = T
    nx = t;
    // Y3 = M * (S - T) - 8 * YYYY
    var yyyy8 = yyyy.redIAdd(yyyy);
    yyyy8 = yyyy8.redIAdd(yyyy8);
    yyyy8 = yyyy8.redIAdd(yyyy8);
    ny = m.redMul(s.redISub(t)).redISub(yyyy8);
    // Z3 = 2 * Y1
    nz = this.y.redAdd(this.y);
  } else {
    // hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-3.html#doubling-dbl-2001-b
    // 3M + 5S

    // delta = Z1^2
    var delta = this.z.redSqr();
    // gamma = Y1^2
    var gamma = this.y.redSqr();
    // beta = X1 * gamma
    var beta = this.x.redMul(gamma);
    // alpha = 3 * (X1 - delta) * (X1 + delta)
    var alpha = this.x.redSub(delta).redMul(this.x.redAdd(delta));
    alpha = alpha.redAdd(alpha).redIAdd(alpha);
    // X3 = alpha^2 - 8 * beta
    var beta4 = beta.redIAdd(beta);
    beta4 = beta4.redIAdd(beta4);
    var beta8 = beta4.redAdd(beta4);
    nx = alpha.redSqr().redISub(beta8);
    // Z3 = (Y1 + Z1)^2 - gamma - delta
    nz = this.y.redAdd(this.z).redSqr().redISub(gamma).redISub(delta);
    // Y3 = alpha * (4 * beta - X3) - 8 * gamma^2
    var ggamma8 = gamma.redSqr();
    ggamma8 = ggamma8.redIAdd(ggamma8);
    ggamma8 = ggamma8.redIAdd(ggamma8);
    ggamma8 = ggamma8.redIAdd(ggamma8);
    ny = alpha.redMul(beta4.redISub(nx)).redISub(ggamma8);
  }

  return this.curve.jpoint(nx, ny, nz);
};

JPoint.prototype._dbl = function _dbl() {
  var a = this.curve.a;

  // 4M + 6S + 10A
  var jx = this.x;
  var jy = this.y;
  var jz = this.z;
  var jz4 = jz.redSqr().redSqr();

  var jx2 = jx.redSqr();
  var jy2 = jy.redSqr();

  var c = jx2.redAdd(jx2).redIAdd(jx2).redIAdd(a.redMul(jz4));

  var jxd4 = jx.redAdd(jx);
  jxd4 = jxd4.redIAdd(jxd4);
  var t1 = jxd4.redMul(jy2);
  var nx = c.redSqr().redISub(t1.redAdd(t1));
  var t2 = t1.redISub(nx);

  var jyd8 = jy2.redSqr();
  jyd8 = jyd8.redIAdd(jyd8);
  jyd8 = jyd8.redIAdd(jyd8);
  jyd8 = jyd8.redIAdd(jyd8);
  var ny = c.redMul(t2).redISub(jyd8);
  var nz = jy.redAdd(jy).redMul(jz);

  return this.curve.jpoint(nx, ny, nz);
};

JPoint.prototype.trpl = function trpl() {
  if (!this.curve.zeroA)
    return this.dbl().add(this);

  // hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#tripling-tpl-2007-bl
  // 5M + 10S + ...

  // XX = X1^2
  var xx = this.x.redSqr();
  // YY = Y1^2
  var yy = this.y.redSqr();
  // ZZ = Z1^2
  var zz = this.z.redSqr();
  // YYYY = YY^2
  var yyyy = yy.redSqr();
  // M = 3 * XX + a * ZZ2; a = 0
  var m = xx.redAdd(xx).redIAdd(xx);
  // MM = M^2
  var mm = m.redSqr();
  // E = 6 * ((X1 + YY)^2 - XX - YYYY) - MM
  var e = this.x.redAdd(yy).redSqr().redISub(xx).redISub(yyyy);
  e = e.redIAdd(e);
  e = e.redAdd(e).redIAdd(e);
  e = e.redISub(mm);
  // EE = E^2
  var ee = e.redSqr();
  // T = 16*YYYY
  var t = yyyy.redIAdd(yyyy);
  t = t.redIAdd(t);
  t = t.redIAdd(t);
  t = t.redIAdd(t);
  // U = (M + E)^2 - MM - EE - T
  var u = m.redIAdd(e).redSqr().redISub(mm).redISub(ee).redISub(t);
  // X3 = 4 * (X1 * EE - 4 * YY * U)
  var yyu4 = yy.redMul(u);
  yyu4 = yyu4.redIAdd(yyu4);
  yyu4 = yyu4.redIAdd(yyu4);
  var nx = this.x.redMul(ee).redISub(yyu4);
  nx = nx.redIAdd(nx);
  nx = nx.redIAdd(nx);
  // Y3 = 8 * Y1 * (U * (T - U) - E * EE)
  var ny = this.y.redMul(u.redMul(t.redISub(u)).redISub(e.redMul(ee)));
  ny = ny.redIAdd(ny);
  ny = ny.redIAdd(ny);
  ny = ny.redIAdd(ny);
  // Z3 = (Z1 + E)^2 - ZZ - EE
  var nz = this.z.redAdd(e).redSqr().redISub(zz).redISub(ee);

  return this.curve.jpoint(nx, ny, nz);
};

JPoint.prototype.mul = function mul(k, kbase) {
  k = new bn(k, kbase);

  return this.curve._wnafMul(this, k);
};

JPoint.prototype.eq = function eq(p) {
  if (p.type === 'affine')
    return this.eq(p.toJ());

  if (this === p)
    return true;

  // x1 * z2^2 == x2 * z1^2
  var z2 = this.z.redSqr();
  var pz2 = p.z.redSqr();
  if (this.x.redMul(pz2).redISub(p.x.redMul(z2)).cmpn(0) !== 0)
    return false;

  // y1 * z2^3 == y2 * z1^3
  var z3 = z2.redMul(this.z);
  var pz3 = pz2.redMul(p.z);
  return this.y.redMul(pz3).redISub(p.y.redMul(z3)).cmpn(0) === 0;
};

JPoint.prototype.inspect = function inspect() {
  if (this.isInfinity())
    return '<EC JPoint Infinity>';
  return '<EC JPoint x: ' + this.x.toString(16, 2) +
      ' y: ' + this.y.toString(16, 2) +
      ' z: ' + this.z.toString(16, 2) + '>';
};

JPoint.prototype.isInfinity = function isInfinity() {
  // XXX This code assumes that zero is always zero in red
  return this.z.cmpn(0) === 0;
};

},{"../../elliptic":6,"../curve":9,"bn.js":5,"inherits":29}],12:[function(require,module,exports){
'use strict';

var curves = exports;

var hash = require('hash.js');
var elliptic = require('../elliptic');

var assert = elliptic.utils.assert;

function PresetCurve(options) {
  if (options.type === 'short')
    this.curve = new elliptic.curve.short(options);
  else if (options.type === 'edwards')
    this.curve = new elliptic.curve.edwards(options);
  else
    this.curve = new elliptic.curve.mont(options);
  this.g = this.curve.g;
  this.n = this.curve.n;
  this.hash = options.hash;

  assert(this.g.validate(), 'Invalid curve');
  assert(this.g.mul(this.n).isInfinity(), 'Invalid curve, G*N != O');
}
curves.PresetCurve = PresetCurve;

function defineCurve(name, options) {
  Object.defineProperty(curves, name, {
    configurable: true,
    enumerable: true,
    get: function() {
      var curve = new PresetCurve(options);
      Object.defineProperty(curves, name, {
        configurable: true,
        enumerable: true,
        value: curve
      });
      return curve;
    }
  });
}

defineCurve('p192', {
  type: 'short',
  prime: 'p192',
  p: 'ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff',
  a: 'ffffffff ffffffff ffffffff fffffffe ffffffff fffffffc',
  b: '64210519 e59c80e7 0fa7e9ab 72243049 feb8deec c146b9b1',
  n: 'ffffffff ffffffff ffffffff 99def836 146bc9b1 b4d22831',
  hash: hash.sha256,
  gRed: false,
  g: [
    '188da80e b03090f6 7cbf20eb 43a18800 f4ff0afd 82ff1012',
    '07192b95 ffc8da78 631011ed 6b24cdd5 73f977a1 1e794811'
  ]
});

defineCurve('p224', {
  type: 'short',
  prime: 'p224',
  p: 'ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001',
  a: 'ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff fffffffe',
  b: 'b4050a85 0c04b3ab f5413256 5044b0b7 d7bfd8ba 270b3943 2355ffb4',
  n: 'ffffffff ffffffff ffffffff ffff16a2 e0b8f03e 13dd2945 5c5c2a3d',
  hash: hash.sha256,
  gRed: false,
  g: [
    'b70e0cbd 6bb4bf7f 321390b9 4a03c1d3 56c21122 343280d6 115c1d21',
    'bd376388 b5f723fb 4c22dfe6 cd4375a0 5a074764 44d58199 85007e34'
  ]
});

defineCurve('p256', {
  type: 'short',
  prime: null,
  p: 'ffffffff 00000001 00000000 00000000 00000000 ffffffff ffffffff ffffffff',
  a: 'ffffffff 00000001 00000000 00000000 00000000 ffffffff ffffffff fffffffc',
  b: '5ac635d8 aa3a93e7 b3ebbd55 769886bc 651d06b0 cc53b0f6 3bce3c3e 27d2604b',
  n: 'ffffffff 00000000 ffffffff ffffffff bce6faad a7179e84 f3b9cac2 fc632551',
  hash: hash.sha256,
  gRed: false,
  g: [
    '6b17d1f2 e12c4247 f8bce6e5 63a440f2 77037d81 2deb33a0 f4a13945 d898c296',
    '4fe342e2 fe1a7f9b 8ee7eb4a 7c0f9e16 2bce3357 6b315ece cbb64068 37bf51f5'
  ]
});

defineCurve('curve25519', {
  type: 'mont',
  prime: 'p25519',
  p: '7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed',
  a: '76d06',
  b: '0',
  n: '1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed',
  hash: hash.sha256,
  gRed: false,
  g: [
    '9'
  ]
});

defineCurve('ed25519', {
  type: 'edwards',
  prime: 'p25519',
  p: '7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed',
  a: '-1',
  c: '1',
  // -121665 * (121666^(-1)) (mod P)
  d: '52036cee2b6ffe73 8cc740797779e898 00700a4d4141d8ab 75eb4dca135978a3',
  n: '1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed',
  hash: hash.sha256,
  gRed: false,
  g: [
    '216936d3cd6e53fec0a4e231fdd6dc5c692cc7609525a7b2c9562d608f25d51a',

    // 4/5
    '6666666666666666666666666666666666666666666666666666666666666658'
  ]
});

var pre;
try {
  pre = require('./precomputed/secp256k1');
} catch (e) {
  pre = undefined;
}

defineCurve('secp256k1', {
  type: 'short',
  prime: 'k256',
  p: 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f',
  a: '0',
  b: '7',
  n: 'ffffffff ffffffff ffffffff fffffffe baaedce6 af48a03b bfd25e8c d0364141',
  h: '1',
  hash: hash.sha256,

  // Precomputed endomorphism
  beta: '7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee',
  lambda: '5363ad4cc05c30e0a5261c028812645a122e22ea20816678df02967c1b23bd72',
  basis: [
    {
      a: '3086d221a7d46bcde86c90e49284eb15',
      b: '-e4437ed6010e88286f547fa90abfe4c3'
    },
    {
      a: '114ca50f7a8e2f3f657c1108d9d44cfd8',
      b: '3086d221a7d46bcde86c90e49284eb15'
    }
  ],

  gRed: false,
  g: [
    '79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798',
    '483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8',
    pre
  ]
});

},{"../elliptic":6,"./precomputed/secp256k1":20,"hash.js":23}],13:[function(require,module,exports){
'use strict';

var bn = require('bn.js');
var elliptic = require('../../elliptic');
var utils = elliptic.utils;
var assert = utils.assert;

var KeyPair = require('./key');
var Signature = require('./signature');

function EC(options) {
  if (!(this instanceof EC))
    return new EC(options);

  // Shortcut `elliptic.ec(curve-name)`
  if (typeof options === 'string') {
    assert(elliptic.curves.hasOwnProperty(options), 'Unknown curve ' + options);

    options = elliptic.curves[options];
  }

  // Shortcut for `elliptic.ec(elliptic.curves.curveName)`
  if (options instanceof elliptic.curves.PresetCurve)
    options = { curve: options };

  this.curve = options.curve.curve;
  this.n = this.curve.n;
  this.nh = this.n.ushrn(1);
  this.g = this.curve.g;

  // Point on curve
  this.g = options.curve.g;
  this.g.precompute(options.curve.n.bitLength() + 1);

  // Hash for function for DRBG
  this.hash = options.hash || options.curve.hash;
}
module.exports = EC;

EC.prototype.keyPair = function keyPair(options) {
  return new KeyPair(this, options);
};

EC.prototype.keyFromPrivate = function keyFromPrivate(priv, enc) {
  return KeyPair.fromPrivate(this, priv, enc);
};

EC.prototype.keyFromPublic = function keyFromPublic(pub, enc) {
  return KeyPair.fromPublic(this, pub, enc);
};

EC.prototype.genKeyPair = function genKeyPair(options) {
  if (!options)
    options = {};

  // Instantiate Hmac_DRBG
  var drbg = new elliptic.hmacDRBG({
    hash: this.hash,
    pers: options.pers,
    entropy: options.entropy || elliptic.rand(this.hash.hmacStrength),
    nonce: this.n.toArray()
  });

  var bytes = this.n.byteLength();
  var ns2 = this.n.sub(new bn(2));
  do {
    var priv = new bn(drbg.generate(bytes));
    if (priv.cmp(ns2) > 0)
      continue;

    priv.iaddn(1);
    return this.keyFromPrivate(priv);
  } while (true);
};

EC.prototype._truncateToN = function truncateToN(msg, truncOnly) {
  var delta = msg.byteLength() * 8 - this.n.bitLength();
  if (delta > 0)
    msg = msg.ushrn(delta);
  if (!truncOnly && msg.cmp(this.n) >= 0)
    return msg.sub(this.n);
  else
    return msg;
};

EC.prototype.sign = function sign(msg, key, enc, options) {
  if (typeof enc === 'object') {
    options = enc;
    enc = null;
  }
  if (!options)
    options = {};

  key = this.keyFromPrivate(key, enc);
  msg = this._truncateToN(new bn(msg, 16));

  // Zero-extend key to provide enough entropy
  var bytes = this.n.byteLength();
  var bkey = key.getPrivate().toArray();
  for (var i = bkey.length; i < 21; i++)
    bkey.unshift(0);

  // Zero-extend nonce to have the same byte size as N
  var nonce = msg.toArray();
  for (var i = nonce.length; i < bytes; i++)
    nonce.unshift(0);

  // Instantiate Hmac_DRBG
  var drbg = new elliptic.hmacDRBG({
    hash: this.hash,
    entropy: bkey,
    nonce: nonce
  });

  // Number of bytes to generate
  var ns1 = this.n.sub(new bn(1));
  do {
    var k = new bn(drbg.generate(this.n.byteLength()));
    k = this._truncateToN(k, true);
    if (k.cmpn(1) <= 0 || k.cmp(ns1) >= 0)
      continue;

    var kp = this.g.mul(k);
    if (kp.isInfinity())
      continue;

    var kpX = kp.getX();
    var r = kpX.umod(this.n);
    if (r.cmpn(0) === 0)
      continue;

    var s = k.invm(this.n).mul(r.mul(key.getPrivate()).iadd(msg));
    s = s.umod(this.n);
    if (s.cmpn(0) === 0)
      continue;

    // Use complement of `s`, if it is > `n / 2`
    if (options.canonical && s.cmp(this.nh) > 0)
      s = this.n.sub(s);

    var recoveryParam = (kp.getY().isOdd() ? 1 : 0) |
                        (kpX.cmp(r) !== 0 ? 2 : 0);

    return new Signature({ r: r, s: s, recoveryParam: recoveryParam });
  } while (true);
};

EC.prototype.verify = function verify(msg, signature, key, enc) {
  msg = this._truncateToN(new bn(msg, 16));
  key = this.keyFromPublic(key, enc);
  signature = new Signature(signature, 'hex');

  // Perform primitive values validation
  var r = signature.r;
  var s = signature.s;
  if (r.cmpn(1) < 0 || r.cmp(this.n) >= 0)
    return false;
  if (s.cmpn(1) < 0 || s.cmp(this.n) >= 0)
    return false;

  // Validate signature
  var sinv = s.invm(this.n);
  var u1 = sinv.mul(msg).umod(this.n);
  var u2 = sinv.mul(r).umod(this.n);

  var p = this.g.mulAdd(u1, key.getPublic(), u2);
  if (p.isInfinity())
    return false;

  return p.getX().umod(this.n).cmp(r) === 0;
};

EC.prototype.recoverPubKey = function(msg, signature, j, enc) {
  assert((3 & j) === j, 'The recovery param is more than two bits');
  signature = new Signature(signature, enc);

  var n = this.n;
  var e = new bn(msg);
  var r = signature.r;
  var s = signature.s;

  // A set LSB signifies that the y-coordinate is odd
  var isYOdd = j & 1;
  var isSecondKey = j >> 1;
  if (r.cmp(this.curve.p.umod(this.curve.n)) >= 0 && isSecondKey)
    throw new Error('Unable to find sencond key candinate');

  // 1.1. Let x = r + jn.
  r = this.curve.pointFromX(r, isYOdd);
  var eNeg = e.neg().umod(n);

  // 1.6.1 Compute Q = r^-1 (sR -  eG)
  //               Q = r^-1 (sR + -eG)
  var rInv = signature.r.invm(n);
  return r.mul(s).add(this.g.mul(eNeg)).mul(rInv);
};

EC.prototype.getKeyRecoveryParam = function(e, signature, Q, enc) {
  signature = new Signature(signature, enc);
  if (signature.recoveryParam !== null)
    return signature.recoveryParam;

  for (var i = 0; i < 4; i++) {
    var Qprime = this.recoverPubKey(e, signature, i);

    if (Qprime.eq(Q))
      return i;
  }
  throw new Error('Unable to find valid recovery factor');
};

},{"../../elliptic":6,"./key":14,"./signature":15,"bn.js":5}],14:[function(require,module,exports){
'use strict';

var bn = require('bn.js');

function KeyPair(ec, options) {
  this.ec = ec;
  this.priv = null;
  this.pub = null;

  // KeyPair(ec, { priv: ..., pub: ... })
  if (options.priv)
    this._importPrivate(options.priv, options.privEnc);
  if (options.pub)
    this._importPublic(options.pub, options.pubEnc);
}
module.exports = KeyPair;

KeyPair.fromPublic = function fromPublic(ec, pub, enc) {
  if (pub instanceof KeyPair)
    return pub;

  return new KeyPair(ec, {
    pub: pub,
    pubEnc: enc
  });
};

KeyPair.fromPrivate = function fromPrivate(ec, priv, enc) {
  if (priv instanceof KeyPair)
    return priv;

  return new KeyPair(ec, {
    priv: priv,
    privEnc: enc
  });
};

KeyPair.prototype.validate = function validate() {
  var pub = this.getPublic();

  if (pub.isInfinity())
    return { result: false, reason: 'Invalid public key' };
  if (!pub.validate())
    return { result: false, reason: 'Public key is not a point' };
  if (!pub.mul(this.ec.curve.n).isInfinity())
    return { result: false, reason: 'Public key * N != O' };

  return { result: true, reason: null };
};

KeyPair.prototype.getPublic = function getPublic(compact, enc) {
  // compact is optional argument
  if (typeof compact === 'string') {
    enc = compact;
    compact = null;
  }

  if (!this.pub)
    this.pub = this.ec.g.mul(this.priv);

  if (!enc)
    return this.pub;

  return this.pub.encode(enc, compact);
};

KeyPair.prototype.getPrivate = function getPrivate(enc) {
  if (enc === 'hex')
    return this.priv.toString(16, 2);
  else
    return this.priv;
};

KeyPair.prototype._importPrivate = function _importPrivate(key, enc) {
  this.priv = new bn(key, enc || 16);

  // Ensure that the priv won't be bigger than n, otherwise we may fail
  // in fixed multiplication method
  this.priv = this.priv.umod(this.ec.curve.n);
};

KeyPair.prototype._importPublic = function _importPublic(key, enc) {
  if (key.x || key.y) {
    this.pub = this.ec.curve.point(key.x, key.y);
    return;
  }
  this.pub = this.ec.curve.decodePoint(key, enc);
};

// ECDH
KeyPair.prototype.derive = function derive(pub) {
  return pub.mul(this.priv).getX();
};

// ECDSA
KeyPair.prototype.sign = function sign(msg, enc, options) {
  return this.ec.sign(msg, this, enc, options);
};

KeyPair.prototype.verify = function verify(msg, signature) {
  return this.ec.verify(msg, signature, this);
};

KeyPair.prototype.inspect = function inspect() {
  return '<Key priv: ' + (this.priv && this.priv.toString(16, 2)) +
         ' pub: ' + (this.pub && this.pub.inspect()) + ' >';
};

},{"bn.js":5}],15:[function(require,module,exports){
'use strict';

var bn = require('bn.js');

var elliptic = require('../../elliptic');
var utils = elliptic.utils;
var assert = utils.assert;

function Signature(options, enc) {
  if (options instanceof Signature)
    return options;

  if (this._importDER(options, enc))
    return;

  assert(options.r && options.s, 'Signature without r or s');
  this.r = new bn(options.r, 16);
  this.s = new bn(options.s, 16);
  if (options.recoveryParam !== null)
    this.recoveryParam = options.recoveryParam;
  else
    this.recoveryParam = null;
}
module.exports = Signature;

Signature.prototype._importDER = function _importDER(data, enc) {
  data = utils.toArray(data, enc);
  if (data.length < 6 || data[0] !== 0x30 || data[2] !== 0x02)
    return false;
  var total = data[1];
  if (1 + total > data.length)
    return false;
  var rlen = data[3];
  // Short length notation
  if (rlen >= 0x80)
    return false;
  if (4 + rlen + 2 >= data.length)
    return false;
  if (data[4 + rlen] !== 0x02)
    return false;
  var slen = data[5 + rlen];
  // Short length notation
  if (slen >= 0x80)
    return false;
  if (4 + rlen + 2 + slen > data.length)
    return false;

  this.r = new bn(data.slice(4, 4 + rlen));
  this.s = new bn(data.slice(4 + rlen + 2, 4 + rlen + 2 + slen));
  this.recoveryParam = null;

  return true;
};

Signature.prototype.toDER = function toDER(enc) {
  var r = this.r.toArray();
  var s = this.s.toArray();

  // Pad values
  if (r[0] & 0x80)
    r = [ 0 ].concat(r);
  // Pad values
  if (s[0] & 0x80)
    s = [ 0 ].concat(s);

  var total = r.length + s.length + 4;
  var res = [ 0x30, total, 0x02, r.length ];
  res = res.concat(r, [ 0x02, s.length ], s);
  return utils.encode(res, enc);
};

},{"../../elliptic":6,"bn.js":5}],16:[function(require,module,exports){
'use strict';

var hash = require('hash.js');
var elliptic = require('../../elliptic');
var utils = elliptic.utils;
var assert = utils.assert;
var parseBytes = utils.parseBytes;
var KeyPair = require('./key');
var Signature = require('./signature');

function EDDSA(curve) {
  assert(curve === 'ed25519', 'only tested with ed25519 so far');

  if (!(this instanceof EDDSA))
    return new EDDSA(curve);

  var curve = elliptic.curves[curve].curve;
  this.curve = curve;
  this.g = curve.g;
  this.g.precompute(curve.n.bitLength() + 1);

  this.pointClass = curve.point().constructor;
  this.encodingLength = Math.ceil(curve.n.bitLength() / 8);
  this.hash = hash.sha512;
}

module.exports = EDDSA;

/**
* @param {Array|String} message - message bytes
* @param {Array|String|KeyPair} secret - secret bytes or a keypair
* @returns {Signature} - signature
*/
EDDSA.prototype.sign = function sign(message, secret) {
  message = parseBytes(message);
  var key = this.keyFromSecret(secret);
  var r = this.hashInt(key.messagePrefix(), message);
  var R = this.g.mul(r);
  var Rencoded = this.encodePoint(R);
  var s_ = this.hashInt(Rencoded, key.pubBytes(), message)
               .mul(key.priv());
  var S = r.add(s_).umod(this.curve.n);
  return this.makeSignature({ R: R, S: S, Rencoded: Rencoded });
};

/**
* @param {Array} message - message bytes
* @param {Array|String|Signature} sig - sig bytes
* @param {Array|String|Point|KeyPair} pub - public key
* @returns {Boolean} - true if public key matches sig of message
*/
EDDSA.prototype.verify = function verify(message, sig, pub) {
  message = parseBytes(message);
  sig = this.makeSignature(sig);
  var key = this.keyFromPublic(pub);
  var h = this.hashInt(sig.Rencoded(), key.pubBytes(), message);
  var SG = this.g.mul(sig.S());
  var RplusAh = sig.R().add(key.pub().mul(h));
  return RplusAh.eq(SG);
};

EDDSA.prototype.hashInt = function hashInt() {
  var hash = this.hash();
  for (var i = 0; i < arguments.length; i++)
    hash.update(arguments[i]);
  return utils.intFromLE(hash.digest()).umod(this.curve.n);
};

EDDSA.prototype.keyFromPublic = function keyFromPublic(pub) {
  return KeyPair.fromPublic(this, pub);
};

EDDSA.prototype.keyFromSecret = function keyFromSecret(secret) {
  return KeyPair.fromSecret(this, secret);
};

EDDSA.prototype.makeSignature = function makeSignature(sig) {
  if (sig instanceof Signature)
    return sig;
  return new Signature(this, sig);
};

/**
* * https://tools.ietf.org/html/draft-josefsson-eddsa-ed25519-03#section-5.2
*
* EDDSA defines methods for encoding and decoding points and integers. These are
* helper convenience methods, that pass along to utility functions implied
* parameters.
*
*/
EDDSA.prototype.encodePoint = function encodePoint(point) {
  var enc = point.getY().toArray('le', this.encodingLength);
  enc[this.encodingLength - 1] |= point.getX().isOdd() ? 0x80 : 0;
  return enc;
};

EDDSA.prototype.decodePoint = function decodePoint(bytes) {
  bytes = utils.parseBytes(bytes);

  var lastIx = bytes.length - 1;
  var normed = bytes.slice(0, lastIx).concat(bytes[lastIx] & ~0x80);
  var xIsOdd = (bytes[lastIx] & 0x80) !== 0;

  var y = utils.intFromLE(normed);
  return this.curve.pointFromY(y, xIsOdd);
};

EDDSA.prototype.encodeInt = function encodeInt(num) {
  return num.toArray('le', this.encodingLength);
};

EDDSA.prototype.decodeInt = function decodeInt(bytes) {
  return utils.intFromLE(bytes);
};

EDDSA.prototype.isPoint = function isPoint(val) {
  return val instanceof this.pointClass;
};

},{"../../elliptic":6,"./key":17,"./signature":18,"hash.js":23}],17:[function(require,module,exports){
'use strict';

var elliptic = require('../../elliptic');
var utils = elliptic.utils;
var assert = utils.assert;
var parseBytes = utils.parseBytes;
var lazyComputed = utils.lazyComputed;

/**
* @param {EDDSA} eddsa - instance
* @param {Object} params - public/private key parameters
*
* @param {Array<Byte>} [params.secret] - secret seed bytes
* @param {Point} [params.pub] - public key point (aka `A` in eddsa terms)
* @param {Array<Byte>} [params.pub] - public key point encoded as bytes
*
*/
function KeyPair(eddsa, params) {
  this.eddsa = eddsa;
  this._secret = parseBytes(params.secret);
  if (eddsa.isPoint(params.pub))
    this._pub = params.pub;
  else
    this._pubBytes = parseBytes(params.pub);
}

KeyPair.fromPublic = function fromPublic(eddsa, pub) {
  if (pub instanceof KeyPair)
    return pub;
  return new KeyPair(eddsa, { pub: pub });
};

KeyPair.fromSecret = function fromSecret(eddsa, secret) {
  if (secret instanceof KeyPair)
    return secret;
  return new KeyPair(eddsa, { secret: secret });
};

KeyPair.prototype.secret = function secret() {
  return this._secret;
};

lazyComputed(KeyPair, 'pubBytes', function pubBytes() {
  return this.eddsa.encodePoint(this.pub());
});

lazyComputed(KeyPair, 'pub', function pub() {
  if (this._pubBytes)
    return this.eddsa.decodePoint(this._pubBytes);
  return this.eddsa.g.mul(this.priv());
});

lazyComputed(KeyPair, 'privBytes', function privBytes() {
  var eddsa = this.eddsa;
  var hash = this.hash();
  var lastIx = eddsa.encodingLength - 1;

  var a = hash.slice(0, eddsa.encodingLength);
  a[0] &= 248;
  a[lastIx] &= 127;
  a[lastIx] |= 64;

  return a;
});

lazyComputed(KeyPair, 'priv', function priv() {
  return this.eddsa.decodeInt(this.privBytes());
});

lazyComputed(KeyPair, 'hash', function hash() {
  return this.eddsa.hash().update(this.secret()).digest();
});

lazyComputed(KeyPair, 'messagePrefix', function messagePrefix() {
  return this.hash().slice(this.eddsa.encodingLength);
});

KeyPair.prototype.sign = function sign(message) {
  assert(this._secret, 'KeyPair can only verify');
  return this.eddsa.sign(message, this);
};

KeyPair.prototype.verify = function verify(message, sig) {
  return this.eddsa.verify(message, sig, this);
};

KeyPair.prototype.getSecret = function getSecret(enc) {
  assert(this._secret, 'KeyPair is public only');
  return utils.encode(this.secret(), enc);
};

KeyPair.prototype.getPublic = function getPublic(enc) {
  return utils.encode(this.pubBytes(), enc);
};

module.exports = KeyPair;

},{"../../elliptic":6}],18:[function(require,module,exports){
'use strict';

var bn = require('bn.js');
var elliptic = require('../../elliptic');
var utils = elliptic.utils;
var assert = utils.assert;
var lazyComputed = utils.lazyComputed;
var parseBytes = utils.parseBytes;

/**
* @param {EDDSA} eddsa - eddsa instance
* @param {Array<Bytes>|Object} sig -
* @param {Array<Bytes>|Point} [sig.R] - R point as Point or bytes
* @param {Array<Bytes>|bn} [sig.S] - S scalar as bn or bytes
* @param {Array<Bytes>} [sig.Rencoded] - R point encoded
* @param {Array<Bytes>} [sig.Sencoded] - S scalar encoded
*/
function Signature(eddsa, sig) {
  this.eddsa = eddsa;

  if (typeof sig !== 'object')
    sig = parseBytes(sig);

  if (Array.isArray(sig)) {
    sig = {
      R: sig.slice(0, eddsa.encodingLength),
      S: sig.slice(eddsa.encodingLength)
    };
  }

  assert(sig.R && sig.S, 'Signature without R or S');

  if (eddsa.isPoint(sig.R))
    this._R = sig.R;
  if (sig.S instanceof bn)
    this._S = sig.S;

  this._Rencoded = Array.isArray(sig.R) ? sig.R : sig.Rencoded;
  this._Sencoded = Array.isArray(sig.S) ? sig.S : sig.Sencoded;
}

lazyComputed(Signature, 'S', function S() {
  return this.eddsa.decodeInt(this.Sencoded());
});

lazyComputed(Signature, 'R', function S() {
  return this.eddsa.decodePoint(this.Rencoded());
});

lazyComputed(Signature, 'Rencoded', function S() {
  return this.eddsa.encodePoint(this.R());
});

lazyComputed(Signature, 'Sencoded', function S() {
  return this.eddsa.encodeInt(this.S());
});

Signature.prototype.toBytes = function toBytes() {
  return this.Rencoded().concat(this.Sencoded());
};

Signature.prototype.toHex = function toHex() {
  return utils.encode(this.toBytes(), 'hex').toUpperCase();
};

module.exports = Signature;

},{"../../elliptic":6,"bn.js":5}],19:[function(require,module,exports){
'use strict';

var hash = require('hash.js');
var elliptic = require('../elliptic');
var utils = elliptic.utils;
var assert = utils.assert;

function HmacDRBG(options) {
  if (!(this instanceof HmacDRBG))
    return new HmacDRBG(options);
  this.hash = options.hash;
  this.predResist = !!options.predResist;

  this.outLen = this.hash.outSize;
  this.minEntropy = options.minEntropy || this.hash.hmacStrength;

  this.reseed = null;
  this.reseedInterval = null;
  this.K = null;
  this.V = null;

  var entropy = utils.toArray(options.entropy, options.entropyEnc);
  var nonce = utils.toArray(options.nonce, options.nonceEnc);
  var pers = utils.toArray(options.pers, options.persEnc);
  assert(entropy.length >= (this.minEntropy / 8),
         'Not enough entropy. Minimum is: ' + this.minEntropy + ' bits');
  this._init(entropy, nonce, pers);
}
module.exports = HmacDRBG;

HmacDRBG.prototype._init = function init(entropy, nonce, pers) {
  var seed = entropy.concat(nonce).concat(pers);

  this.K = new Array(this.outLen / 8);
  this.V = new Array(this.outLen / 8);
  for (var i = 0; i < this.V.length; i++) {
    this.K[i] = 0x00;
    this.V[i] = 0x01;
  }

  this._update(seed);
  this.reseed = 1;
  this.reseedInterval = 0x1000000000000;  // 2^48
};

HmacDRBG.prototype._hmac = function hmac() {
  return new hash.hmac(this.hash, this.K);
};

HmacDRBG.prototype._update = function update(seed) {
  var kmac = this._hmac()
                 .update(this.V)
                 .update([ 0x00 ]);
  if (seed)
    kmac = kmac.update(seed);
  this.K = kmac.digest();
  this.V = this._hmac().update(this.V).digest();
  if (!seed)
    return;

  this.K = this._hmac()
               .update(this.V)
               .update([ 0x01 ])
               .update(seed)
               .digest();
  this.V = this._hmac().update(this.V).digest();
};

HmacDRBG.prototype.reseed = function reseed(entropy, entropyEnc, add, addEnc) {
  // Optional entropy enc
  if (typeof entropyEnc !== 'string') {
    addEnc = add;
    add = entropyEnc;
    entropyEnc = null;
  }

  entropy = utils.toBuffer(entropy, entropyEnc);
  add = utils.toBuffer(add, addEnc);

  assert(entropy.length >= (this.minEntropy / 8),
         'Not enough entropy. Minimum is: ' + this.minEntropy + ' bits');

  this._update(entropy.concat(add || []));
  this.reseed = 1;
};

HmacDRBG.prototype.generate = function generate(len, enc, add, addEnc) {
  if (this.reseed > this.reseedInterval)
    throw new Error('Reseed is required');

  // Optional encoding
  if (typeof enc !== 'string') {
    addEnc = add;
    add = enc;
    enc = null;
  }

  // Optional additional data
  if (add) {
    add = utils.toArray(add, addEnc);
    this._update(add);
  }

  var temp = [];
  while (temp.length < len) {
    this.V = this._hmac().update(this.V).digest();
    temp = temp.concat(this.V);
  }

  var res = temp.slice(0, len);
  this._update(add);
  this.reseed++;
  return utils.encode(res, enc);
};

},{"../elliptic":6,"hash.js":23}],20:[function(require,module,exports){
module.exports = {
  doubles: {
    step: 4,
    points: [
      [
        'e60fce93b59e9ec53011aabc21c23e97b2a31369b87a5ae9c44ee89e2a6dec0a',
        'f7e3507399e595929db99f34f57937101296891e44d23f0be1f32cce69616821'
      ],
      [
        '8282263212c609d9ea2a6e3e172de238d8c39cabd5ac1ca10646e23fd5f51508',
        '11f8a8098557dfe45e8256e830b60ace62d613ac2f7b17bed31b6eaff6e26caf'
      ],
      [
        '175e159f728b865a72f99cc6c6fc846de0b93833fd2222ed73fce5b551e5b739',
        'd3506e0d9e3c79eba4ef97a51ff71f5eacb5955add24345c6efa6ffee9fed695'
      ],
      [
        '363d90d447b00c9c99ceac05b6262ee053441c7e55552ffe526bad8f83ff4640',
        '4e273adfc732221953b445397f3363145b9a89008199ecb62003c7f3bee9de9'
      ],
      [
        '8b4b5f165df3c2be8c6244b5b745638843e4a781a15bcd1b69f79a55dffdf80c',
        '4aad0a6f68d308b4b3fbd7813ab0da04f9e336546162ee56b3eff0c65fd4fd36'
      ],
      [
        '723cbaa6e5db996d6bf771c00bd548c7b700dbffa6c0e77bcb6115925232fcda',
        '96e867b5595cc498a921137488824d6e2660a0653779494801dc069d9eb39f5f'
      ],
      [
        'eebfa4d493bebf98ba5feec812c2d3b50947961237a919839a533eca0e7dd7fa',
        '5d9a8ca3970ef0f269ee7edaf178089d9ae4cdc3a711f712ddfd4fdae1de8999'
      ],
      [
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        'cdd9e13192a00b772ec8f3300c090666b7ff4a18ff5195ac0fbd5cd62bc65a09'
      ],
      [
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      ],
      [
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      ],
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      [
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      [
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      [
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        '9731141d81fc8f8084d37c6e7542006b3ee1b40d60dfe5362a5b132fd17ddc0'
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      [
        '32b78c7de9ee512a72895be6b9cbefa6e2f3c4ccce445c96b9f2c81e2778ad58',
        'ee1849f513df71e32efc3896ee28260c73bb80547ae2275ba497237794c8753c'
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      [
        'e2cb74fddc8e9fbcd076eef2a7c72b0ce37d50f08269dfc074b581550547a4f7',
        'd3aa2ed71c9dd2247a62df062736eb0baddea9e36122d2be8641abcb005cc4a4'
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        '674f2600a3007a00568c1a7ce05d0816c1fb84bf1370798f1c69532faeb1a86b',
        '299d21f9413f33b3edf43b257004580b70db57da0b182259e09eecc69e0d38a5'
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      [
        'd32f4da54ade74abb81b815ad1fb3b263d82d6c692714bcff87d29bd5ee9f08f',
        'f9429e738b8e53b968e99016c059707782e14f4535359d582fc416910b3eea87'
      ],
      [
        '30e4e670435385556e593657135845d36fbb6931f72b08cb1ed954f1e3ce3ff6',
        '462f9bce619898638499350113bbc9b10a878d35da70740dc695a559eb88db7b'
      ],
      [
        'be2062003c51cc3004682904330e4dee7f3dcd10b01e580bf1971b04d4cad297',
        '62188bc49d61e5428573d48a74e1c655b1c61090905682a0d5558ed72dccb9bc'
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      [
        '93144423ace3451ed29e0fb9ac2af211cb6e84a601df5993c419859fff5df04a',
        '7c10dfb164c3425f5c71a3f9d7992038f1065224f72bb9d1d902a6d13037b47c'
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      [
        'b015f8044f5fcbdcf21ca26d6c34fb8197829205c7b7d2a7cb66418c157b112c',
        'ab8c1e086d04e813744a655b2df8d5f83b3cdc6faa3088c1d3aea1454e3a1d5f'
      ],
      [
        'd5e9e1da649d97d89e4868117a465a3a4f8a18de57a140d36b3f2af341a21b52',
        '4cb04437f391ed73111a13cc1d4dd0db1693465c2240480d8955e8592f27447a'
      ],
      [
        'd3ae41047dd7ca065dbf8ed77b992439983005cd72e16d6f996a5316d36966bb',
        'bd1aeb21ad22ebb22a10f0303417c6d964f8cdd7df0aca614b10dc14d125ac46'
      ],
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        '463e2763d885f958fc66cdd22800f0a487197d0a82e377b49f80af87c897b065',
        'bfefacdb0e5d0fd7df3a311a94de062b26b80c61fbc97508b79992671ef7ca7f'
      ],
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        '7985fdfd127c0567c6f53ec1bb63ec3158e597c40bfe747c83cddfc910641917',
        '603c12daf3d9862ef2b25fe1de289aed24ed291e0ec6708703a5bd567f32ed03'
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        '74a1ad6b5f76e39db2dd249410eac7f99e74c59cb83d2d0ed5ff1543da7703e9',
        'cc6157ef18c9c63cd6193d83631bbea0093e0968942e8c33d5737fd790e0db08'
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        '30682a50703375f602d416664ba19b7fc9bab42c72747463a71d0896b22f6da3',
        '553e04f6b018b4fa6c8f39e7f311d3176290d0e0f19ca73f17714d9977a22ff8'
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        '9e2158f0d7c0d5f26c3791efefa79597654e7a2b2464f52b1ee6c1347769ef57',
        '712fcdd1b9053f09003a3481fa7762e9ffd7c8ef35a38509e2fbf2629008373'
      ],
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        '176e26989a43c9cfeba4029c202538c28172e566e3c4fce7322857f3be327d66',
        'ed8cc9d04b29eb877d270b4878dc43c19aefd31f4eee09ee7b47834c1fa4b1c3'
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        '75d46efea3771e6e68abb89a13ad747ecf1892393dfc4f1b7004788c50374da8',
        '9852390a99507679fd0b86fd2b39a868d7efc22151346e1a3ca4726586a6bed8'
      ],
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        '809a20c67d64900ffb698c4c825f6d5f2310fb0451c869345b7319f645605721',
        '9e994980d9917e22b76b061927fa04143d096ccc54963e6a5ebfa5f3f8e286c1'
      ],
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        '1b38903a43f7f114ed4500b4eac7083fdefece1cf29c63528d563446f972c180',
        '4036edc931a60ae889353f77fd53de4a2708b26b6f5da72ad3394119daf408f9'
      ]
    ]
  }
};

},{}],21:[function(require,module,exports){
'use strict';

var utils = exports;
var bn = require('bn.js');

utils.assert = function assert(val, msg) {
  if (!val)
    throw new Error(msg || 'Assertion failed');
};

function toArray(msg, enc) {
  if (Array.isArray(msg))
    return msg.slice();
  if (!msg)
    return [];
  var res = [];
  if (typeof msg !== 'string') {
    for (var i = 0; i < msg.length; i++)
      res[i] = msg[i] | 0;
    return res;
  }
  if (!enc) {
    for (var i = 0; i < msg.length; i++) {
      var c = msg.charCodeAt(i);
      var hi = c >> 8;
      var lo = c & 0xff;
      if (hi)
        res.push(hi, lo);
      else
        res.push(lo);
    }
  } else if (enc === 'hex') {
    msg = msg.replace(/[^a-z0-9]+/ig, '');
    if (msg.length % 2 !== 0)
      msg = '0' + msg;
    for (var i = 0; i < msg.length; i += 2)
      res.push(parseInt(msg[i] + msg[i + 1], 16));
  }
  return res;
}
utils.toArray = toArray;

function zero2(word) {
  if (word.length === 1)
    return '0' + word;
  else
    return word;
}
utils.zero2 = zero2;

function toHex(msg) {
  var res = '';
  for (var i = 0; i < msg.length; i++)
    res += zero2(msg[i].toString(16));
  return res;
}
utils.toHex = toHex;

utils.encode = function encode(arr, enc) {
  if (enc === 'hex')
    return toHex(arr);
  else
    return arr;
};

// Represent num in a w-NAF form
function getNAF(num, w) {
  var naf = [];
  var ws = 1 << (w + 1);
  var k = num.clone();
  while (k.cmpn(1) >= 0) {
    var z;
    if (k.isOdd()) {
      var mod = k.andln(ws - 1);
      if (mod > (ws >> 1) - 1)
        z = (ws >> 1) - mod;
      else
        z = mod;
      k.isubn(z);
    } else {
      z = 0;
    }
    naf.push(z);

    // Optimization, shift by word if possible
    var shift = (k.cmpn(0) !== 0 && k.andln(ws - 1) === 0) ? (w + 1) : 1;
    for (var i = 1; i < shift; i++)
      naf.push(0);
    k.iushrn(shift);
  }

  return naf;
}
utils.getNAF = getNAF;

// Represent k1, k2 in a Joint Sparse Form
function getJSF(k1, k2) {
  var jsf = [
    [],
    []
  ];

  k1 = k1.clone();
  k2 = k2.clone();
  var d1 = 0;
  var d2 = 0;
  while (k1.cmpn(-d1) > 0 || k2.cmpn(-d2) > 0) {

    // First phase
    var m14 = (k1.andln(3) + d1) & 3;
    var m24 = (k2.andln(3) + d2) & 3;
    if (m14 === 3)
      m14 = -1;
    if (m24 === 3)
      m24 = -1;
    var u1;
    if ((m14 & 1) === 0) {
      u1 = 0;
    } else {
      var m8 = (k1.andln(7) + d1) & 7;
      if ((m8 === 3 || m8 === 5) && m24 === 2)
        u1 = -m14;
      else
        u1 = m14;
    }
    jsf[0].push(u1);

    var u2;
    if ((m24 & 1) === 0) {
      u2 = 0;
    } else {
      var m8 = (k2.andln(7) + d2) & 7;
      if ((m8 === 3 || m8 === 5) && m14 === 2)
        u2 = -m24;
      else
        u2 = m24;
    }
    jsf[1].push(u2);

    // Second phase
    if (2 * d1 === u1 + 1)
      d1 = 1 - d1;
    if (2 * d2 === u2 + 1)
      d2 = 1 - d2;
    k1.iushrn(1);
    k2.iushrn(1);
  }

  return jsf;
}
utils.getJSF = getJSF;

function lazyComputed(obj, name, computer) {
  var key = '_' + name;
  obj.prototype[name] = function lazyComputed() {
    return this[key] !== undefined ? this[key] :
           this[key] = computer.apply(this, arguments);
  };
}
utils.lazyComputed = lazyComputed;

function parseBytes(bytes) {
  return typeof bytes === 'string' ? utils.toArray(bytes, 'hex') :
                                     bytes;
}
utils.parseBytes = parseBytes;

function intFromLE(bytes) {
  return new bn(bytes, 'hex', 'le');
}
utils.intFromLE = intFromLE;


},{"bn.js":5}],22:[function(require,module,exports){
var r;

module.exports = function rand(len) {
  if (!r)
    r = new Rand(null);

  return r.generate(len);
};

function Rand(rand) {
  this.rand = rand;
}
module.exports.Rand = Rand;

Rand.prototype.generate = function generate(len) {
  return this._rand(len);
};

if (typeof window === 'object') {
  if (window.crypto && window.crypto.getRandomValues) {
    // Modern browsers
    Rand.prototype._rand = function _rand(n) {
      var arr = new Uint8Array(n);
      window.crypto.getRandomValues(arr);
      return arr;
    };
  } else if (window.msCrypto && window.msCrypto.getRandomValues) {
    // IE
    Rand.prototype._rand = function _rand(n) {
      var arr = new Uint8Array(n);
      window.msCrypto.getRandomValues(arr);
      return arr;
    };
  } else {
    // Old junk
    Rand.prototype._rand = function() {
      throw new Error('Not implemented yet');
    };
  }
} else {
  // Node.js or Web worker
  try {
    var crypto = require('cry' + 'pto');

    Rand.prototype._rand = function _rand(n) {
      return crypto.randomBytes(n);
    };
  } catch (e) {
    // Emulate crypto API using randy
    Rand.prototype._rand = function _rand(n) {
      var res = new Uint8Array(n);
      for (var i = 0; i < res.length; i++)
        res[i] = this.rand.getByte();
      return res;
    };
  }
}

},{}],23:[function(require,module,exports){
var hash = exports;

hash.utils = require('./hash/utils');
hash.common = require('./hash/common');
hash.sha = require('./hash/sha');
hash.ripemd = require('./hash/ripemd');
hash.hmac = require('./hash/hmac');

// Proxy hash functions to the main object
hash.sha1 = hash.sha.sha1;
hash.sha256 = hash.sha.sha256;
hash.sha224 = hash.sha.sha224;
hash.sha384 = hash.sha.sha384;
hash.sha512 = hash.sha.sha512;
hash.ripemd160 = hash.ripemd.ripemd160;

},{"./hash/common":24,"./hash/hmac":25,"./hash/ripemd":26,"./hash/sha":27,"./hash/utils":28}],24:[function(require,module,exports){
var hash = require('../hash');
var utils = hash.utils;
var assert = utils.assert;

function BlockHash() {
  this.pending = null;
  this.pendingTotal = 0;
  this.blockSize = this.constructor.blockSize;
  this.outSize = this.constructor.outSize;
  this.hmacStrength = this.constructor.hmacStrength;
  this.padLength = this.constructor.padLength / 8;
  this.endian = 'big';

  this._delta8 = this.blockSize / 8;
  this._delta32 = this.blockSize / 32;
}
exports.BlockHash = BlockHash;

BlockHash.prototype.update = function update(msg, enc) {
  // Convert message to array, pad it, and join into 32bit blocks
  msg = utils.toArray(msg, enc);
  if (!this.pending)
    this.pending = msg;
  else
    this.pending = this.pending.concat(msg);
  this.pendingTotal += msg.length;

  // Enough data, try updating
  if (this.pending.length >= this._delta8) {
    msg = this.pending;

    // Process pending data in blocks
    var r = msg.length % this._delta8;
    this.pending = msg.slice(msg.length - r, msg.length);
    if (this.pending.length === 0)
      this.pending = null;

    msg = utils.join32(msg, 0, msg.length - r, this.endian);
    for (var i = 0; i < msg.length; i += this._delta32)
      this._update(msg, i, i + this._delta32);
  }

  return this;
};

BlockHash.prototype.digest = function digest(enc) {
  this.update(this._pad());
  assert(this.pending === null);

  return this._digest(enc);
};

BlockHash.prototype._pad = function pad() {
  var len = this.pendingTotal;
  var bytes = this._delta8;
  var k = bytes - ((len + this.padLength) % bytes);
  var res = new Array(k + this.padLength);
  res[0] = 0x80;
  for (var i = 1; i < k; i++)
    res[i] = 0;

  // Append length
  len <<= 3;
  if (this.endian === 'big') {
    for (var t = 8; t < this.padLength; t++)
      res[i++] = 0;

    res[i++] = 0;
    res[i++] = 0;
    res[i++] = 0;
    res[i++] = 0;
    res[i++] = (len >>> 24) & 0xff;
    res[i++] = (len >>> 16) & 0xff;
    res[i++] = (len >>> 8) & 0xff;
    res[i++] = len & 0xff;
  } else {
    res[i++] = len & 0xff;
    res[i++] = (len >>> 8) & 0xff;
    res[i++] = (len >>> 16) & 0xff;
    res[i++] = (len >>> 24) & 0xff;
    res[i++] = 0;
    res[i++] = 0;
    res[i++] = 0;
    res[i++] = 0;

    for (var t = 8; t < this.padLength; t++)
      res[i++] = 0;
  }

  return res;
};

},{"../hash":23}],25:[function(require,module,exports){
var hmac = exports;

var hash = require('../hash');
var utils = hash.utils;
var assert = utils.assert;

function Hmac(hash, key, enc) {
  if (!(this instanceof Hmac))
    return new Hmac(hash, key, enc);
  this.Hash = hash;
  this.blockSize = hash.blockSize / 8;
  this.outSize = hash.outSize / 8;
  this.inner = null;
  this.outer = null;

  this._init(utils.toArray(key, enc));
}
module.exports = Hmac;

Hmac.prototype._init = function init(key) {
  // Shorten key, if needed
  if (key.length > this.blockSize)
    key = new this.Hash().update(key).digest();
  assert(key.length <= this.blockSize);

  // Add padding to key
  for (var i = key.length; i < this.blockSize; i++)
    key.push(0);

  for (var i = 0; i < key.length; i++)
    key[i] ^= 0x36;
  this.inner = new this.Hash().update(key);

  // 0x36 ^ 0x5c = 0x6a
  for (var i = 0; i < key.length; i++)
    key[i] ^= 0x6a;
  this.outer = new this.Hash().update(key);
};

Hmac.prototype.update = function update(msg, enc) {
  this.inner.update(msg, enc);
  return this;
};

Hmac.prototype.digest = function digest(enc) {
  this.outer.update(this.inner.digest());
  return this.outer.digest(enc);
};

},{"../hash":23}],26:[function(require,module,exports){
var hash = require('../hash');
var utils = hash.utils;

var rotl32 = utils.rotl32;
var sum32 = utils.sum32;
var sum32_3 = utils.sum32_3;
var sum32_4 = utils.sum32_4;
var BlockHash = hash.common.BlockHash;

function RIPEMD160() {
  if (!(this instanceof RIPEMD160))
    return new RIPEMD160();

  BlockHash.call(this);

  this.h = [ 0x67452301, 0xefcdab89, 0x98badcfe, 0x10325476, 0xc3d2e1f0 ];
  this.endian = 'little';
}
utils.inherits(RIPEMD160, BlockHash);
exports.ripemd160 = RIPEMD160;

RIPEMD160.blockSize = 512;
RIPEMD160.outSize = 160;
RIPEMD160.hmacStrength = 192;
RIPEMD160.padLength = 64;

RIPEMD160.prototype._update = function update(msg, start) {
  var A = this.h[0];
  var B = this.h[1];
  var C = this.h[2];
  var D = this.h[3];
  var E = this.h[4];
  var Ah = A;
  var Bh = B;
  var Ch = C;
  var Dh = D;
  var Eh = E;
  for (var j = 0; j < 80; j++) {
    var T = sum32(
      rotl32(
        sum32_4(A, f(j, B, C, D), msg[r[j] + start], K(j)),
        s[j]),
      E);
    A = E;
    E = D;
    D = rotl32(C, 10);
    C = B;
    B = T;
    T = sum32(
      rotl32(
        sum32_4(Ah, f(79 - j, Bh, Ch, Dh), msg[rh[j] + start], Kh(j)),
        sh[j]),
      Eh);
    Ah = Eh;
    Eh = Dh;
    Dh = rotl32(Ch, 10);
    Ch = Bh;
    Bh = T;
  }
  T = sum32_3(this.h[1], C, Dh);
  this.h[1] = sum32_3(this.h[2], D, Eh);
  this.h[2] = sum32_3(this.h[3], E, Ah);
  this.h[3] = sum32_3(this.h[4], A, Bh);
  this.h[4] = sum32_3(this.h[0], B, Ch);
  this.h[0] = T;
};

RIPEMD160.prototype._digest = function digest(enc) {
  if (enc === 'hex')
    return utils.toHex32(this.h, 'little');
  else
    return utils.split32(this.h, 'little');
};

function f(j, x, y, z) {
  if (j <= 15)
    return x ^ y ^ z;
  else if (j <= 31)
    return (x & y) | ((~x) & z);
  else if (j <= 47)
    return (x | (~y)) ^ z;
  else if (j <= 63)
    return (x & z) | (y & (~z));
  else
    return x ^ (y | (~z));
}

function K(j) {
  if (j <= 15)
    return 0x00000000;
  else if (j <= 31)
    return 0x5a827999;
  else if (j <= 47)
    return 0x6ed9eba1;
  else if (j <= 63)
    return 0x8f1bbcdc;
  else
    return 0xa953fd4e;
}

function Kh(j) {
  if (j <= 15)
    return 0x50a28be6;
  else if (j <= 31)
    return 0x5c4dd124;
  else if (j <= 47)
    return 0x6d703ef3;
  else if (j <= 63)
    return 0x7a6d76e9;
  else
    return 0x00000000;
}

var r = [
  0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15,
  7, 4, 13, 1, 10, 6, 15, 3, 12, 0, 9, 5, 2, 14, 11, 8,
  3, 10, 14, 4, 9, 15, 8, 1, 2, 7, 0, 6, 13, 11, 5, 12,
  1, 9, 11, 10, 0, 8, 12, 4, 13, 3, 7, 15, 14, 5, 6, 2,
  4, 0, 5, 9, 7, 12, 2, 10, 14, 1, 3, 8, 11, 6, 15, 13
];

var rh = [
  5, 14, 7, 0, 9, 2, 11, 4, 13, 6, 15, 8, 1, 10, 3, 12,
  6, 11, 3, 7, 0, 13, 5, 10, 14, 15, 8, 12, 4, 9, 1, 2,
  15, 5, 1, 3, 7, 14, 6, 9, 11, 8, 12, 2, 10, 0, 4, 13,
  8, 6, 4, 1, 3, 11, 15, 0, 5, 12, 2, 13, 9, 7, 10, 14,
  12, 15, 10, 4, 1, 5, 8, 7, 6, 2, 13, 14, 0, 3, 9, 11
];

var s = [
  11, 14, 15, 12, 5, 8, 7, 9, 11, 13, 14, 15, 6, 7, 9, 8,
  7, 6, 8, 13, 11, 9, 7, 15, 7, 12, 15, 9, 11, 7, 13, 12,
  11, 13, 6, 7, 14, 9, 13, 15, 14, 8, 13, 6, 5, 12, 7, 5,
  11, 12, 14, 15, 14, 15, 9, 8, 9, 14, 5, 6, 8, 6, 5, 12,
  9, 15, 5, 11, 6, 8, 13, 12, 5, 12, 13, 14, 11, 8, 5, 6
];

var sh = [
  8, 9, 9, 11, 13, 15, 15, 5, 7, 7, 8, 11, 14, 14, 12, 6,
  9, 13, 15, 7, 12, 8, 9, 11, 7, 7, 12, 7, 6, 15, 13, 11,
  9, 7, 15, 11, 8, 6, 6, 14, 12, 13, 5, 14, 13, 13, 7, 5,
  15, 5, 8, 11, 14, 14, 6, 14, 6, 9, 12, 9, 12, 5, 15, 8,
  8, 5, 12, 9, 12, 5, 14, 6, 8, 13, 6, 5, 15, 13, 11, 11
];

},{"../hash":23}],27:[function(require,module,exports){
var hash = require('../hash');
var utils = hash.utils;
var assert = utils.assert;

var rotr32 = utils.rotr32;
var rotl32 = utils.rotl32;
var sum32 = utils.sum32;
var sum32_4 = utils.sum32_4;
var sum32_5 = utils.sum32_5;
var rotr64_hi = utils.rotr64_hi;
var rotr64_lo = utils.rotr64_lo;
var shr64_hi = utils.shr64_hi;
var shr64_lo = utils.shr64_lo;
var sum64 = utils.sum64;
var sum64_hi = utils.sum64_hi;
var sum64_lo = utils.sum64_lo;
var sum64_4_hi = utils.sum64_4_hi;
var sum64_4_lo = utils.sum64_4_lo;
var sum64_5_hi = utils.sum64_5_hi;
var sum64_5_lo = utils.sum64_5_lo;
var BlockHash = hash.common.BlockHash;

var sha256_K = [
  0x428a2f98, 0x71374491, 0xb5c0fbcf, 0xe9b5dba5,
  0x3956c25b, 0x59f111f1, 0x923f82a4, 0xab1c5ed5,
  0xd807aa98, 0x12835b01, 0x243185be, 0x550c7dc3,
  0x72be5d74, 0x80deb1fe, 0x9bdc06a7, 0xc19bf174,
  0xe49b69c1, 0xefbe4786, 0x0fc19dc6, 0x240ca1cc,
  0x2de92c6f, 0x4a7484aa, 0x5cb0a9dc, 0x76f988da,
  0x983e5152, 0xa831c66d, 0xb00327c8, 0xbf597fc7,
  0xc6e00bf3, 0xd5a79147, 0x06ca6351, 0x14292967,
  0x27b70a85, 0x2e1b2138, 0x4d2c6dfc, 0x53380d13,
  0x650a7354, 0x766a0abb, 0x81c2c92e, 0x92722c85,
  0xa2bfe8a1, 0xa81a664b, 0xc24b8b70, 0xc76c51a3,
  0xd192e819, 0xd6990624, 0xf40e3585, 0x106aa070,
  0x19a4c116, 0x1e376c08, 0x2748774c, 0x34b0bcb5,
  0x391c0cb3, 0x4ed8aa4a, 0x5b9cca4f, 0x682e6ff3,
  0x748f82ee, 0x78a5636f, 0x84c87814, 0x8cc70208,
  0x90befffa, 0xa4506ceb, 0xbef9a3f7, 0xc67178f2
];

var sha512_K = [
  0x428a2f98, 0xd728ae22, 0x71374491, 0x23ef65cd,
  0xb5c0fbcf, 0xec4d3b2f, 0xe9b5dba5, 0x8189dbbc,
  0x3956c25b, 0xf348b538, 0x59f111f1, 0xb605d019,
  0x923f82a4, 0xaf194f9b, 0xab1c5ed5, 0xda6d8118,
  0xd807aa98, 0xa3030242, 0x12835b01, 0x45706fbe,
  0x243185be, 0x4ee4b28c, 0x550c7dc3, 0xd5ffb4e2,
  0x72be5d74, 0xf27b896f, 0x80deb1fe, 0x3b1696b1,
  0x9bdc06a7, 0x25c71235, 0xc19bf174, 0xcf692694,
  0xe49b69c1, 0x9ef14ad2, 0xefbe4786, 0x384f25e3,
  0x0fc19dc6, 0x8b8cd5b5, 0x240ca1cc, 0x77ac9c65,
  0x2de92c6f, 0x592b0275, 0x4a7484aa, 0x6ea6e483,
  0x5cb0a9dc, 0xbd41fbd4, 0x76f988da, 0x831153b5,
  0x983e5152, 0xee66dfab, 0xa831c66d, 0x2db43210,
  0xb00327c8, 0x98fb213f, 0xbf597fc7, 0xbeef0ee4,
  0xc6e00bf3, 0x3da88fc2, 0xd5a79147, 0x930aa725,
  0x06ca6351, 0xe003826f, 0x14292967, 0x0a0e6e70,
  0x27b70a85, 0x46d22ffc, 0x2e1b2138, 0x5c26c926,
  0x4d2c6dfc, 0x5ac42aed, 0x53380d13, 0x9d95b3df,
  0x650a7354, 0x8baf63de, 0x766a0abb, 0x3c77b2a8,
  0x81c2c92e, 0x47edaee6, 0x92722c85, 0x1482353b,
  0xa2bfe8a1, 0x4cf10364, 0xa81a664b, 0xbc423001,
  0xc24b8b70, 0xd0f89791, 0xc76c51a3, 0x0654be30,
  0xd192e819, 0xd6ef5218, 0xd6990624, 0x5565a910,
  0xf40e3585, 0x5771202a, 0x106aa070, 0x32bbd1b8,
  0x19a4c116, 0xb8d2d0c8, 0x1e376c08, 0x5141ab53,
  0x2748774c, 0xdf8eeb99, 0x34b0bcb5, 0xe19b48a8,
  0x391c0cb3, 0xc5c95a63, 0x4ed8aa4a, 0xe3418acb,
  0x5b9cca4f, 0x7763e373, 0x682e6ff3, 0xd6b2b8a3,
  0x748f82ee, 0x5defb2fc, 0x78a5636f, 0x43172f60,
  0x84c87814, 0xa1f0ab72, 0x8cc70208, 0x1a6439ec,
  0x90befffa, 0x23631e28, 0xa4506ceb, 0xde82bde9,
  0xbef9a3f7, 0xb2c67915, 0xc67178f2, 0xe372532b,
  0xca273ece, 0xea26619c, 0xd186b8c7, 0x21c0c207,
  0xeada7dd6, 0xcde0eb1e, 0xf57d4f7f, 0xee6ed178,
  0x06f067aa, 0x72176fba, 0x0a637dc5, 0xa2c898a6,
  0x113f9804, 0xbef90dae, 0x1b710b35, 0x131c471b,
  0x28db77f5, 0x23047d84, 0x32caab7b, 0x40c72493,
  0x3c9ebe0a, 0x15c9bebc, 0x431d67c4, 0x9c100d4c,
  0x4cc5d4be, 0xcb3e42b6, 0x597f299c, 0xfc657e2a,
  0x5fcb6fab, 0x3ad6faec, 0x6c44198c, 0x4a475817
];

var sha1_K = [
  0x5A827999, 0x6ED9EBA1,
  0x8F1BBCDC, 0xCA62C1D6
];

function SHA256() {
  if (!(this instanceof SHA256))
    return new SHA256();

  BlockHash.call(this);
  this.h = [ 0x6a09e667, 0xbb67ae85, 0x3c6ef372, 0xa54ff53a,
             0x510e527f, 0x9b05688c, 0x1f83d9ab, 0x5be0cd19 ];
  this.k = sha256_K;
  this.W = new Array(64);
}
utils.inherits(SHA256, BlockHash);
exports.sha256 = SHA256;

SHA256.blockSize = 512;
SHA256.outSize = 256;
SHA256.hmacStrength = 192;
SHA256.padLength = 64;

SHA256.prototype._update = function _update(msg, start) {
  var W = this.W;

  for (var i = 0; i < 16; i++)
    W[i] = msg[start + i];
  for (; i < W.length; i++)
    W[i] = sum32_4(g1_256(W[i - 2]), W[i - 7], g0_256(W[i - 15]), W[i - 16]);

  var a = this.h[0];
  var b = this.h[1];
  var c = this.h[2];
  var d = this.h[3];
  var e = this.h[4];
  var f = this.h[5];
  var g = this.h[6];
  var h = this.h[7];

  assert(this.k.length === W.length);
  for (var i = 0; i < W.length; i++) {
    var T1 = sum32_5(h, s1_256(e), ch32(e, f, g), this.k[i], W[i]);
    var T2 = sum32(s0_256(a), maj32(a, b, c));
    h = g;
    g = f;
    f = e;
    e = sum32(d, T1);
    d = c;
    c = b;
    b = a;
    a = sum32(T1, T2);
  }

  this.h[0] = sum32(this.h[0], a);
  this.h[1] = sum32(this.h[1], b);
  this.h[2] = sum32(this.h[2], c);
  this.h[3] = sum32(this.h[3], d);
  this.h[4] = sum32(this.h[4], e);
  this.h[5] = sum32(this.h[5], f);
  this.h[6] = sum32(this.h[6], g);
  this.h[7] = sum32(this.h[7], h);
};

SHA256.prototype._digest = function digest(enc) {
  if (enc === 'hex')
    return utils.toHex32(this.h, 'big');
  else
    return utils.split32(this.h, 'big');
};

function SHA224() {
  if (!(this instanceof SHA224))
    return new SHA224();

  SHA256.call(this);
  this.h = [ 0xc1059ed8, 0x367cd507, 0x3070dd17, 0xf70e5939,
             0xffc00b31, 0x68581511, 0x64f98fa7, 0xbefa4fa4 ];
}
utils.inherits(SHA224, SHA256);
exports.sha224 = SHA224;

SHA224.blockSize = 512;
SHA224.outSize = 224;
SHA224.hmacStrength = 192;
SHA224.padLength = 64;

SHA224.prototype._digest = function digest(enc) {
  // Just truncate output
  if (enc === 'hex')
    return utils.toHex32(this.h.slice(0, 7), 'big');
  else
    return utils.split32(this.h.slice(0, 7), 'big');
};

function SHA512() {
  if (!(this instanceof SHA512))
    return new SHA512();

  BlockHash.call(this);
  this.h = [ 0x6a09e667, 0xf3bcc908,
             0xbb67ae85, 0x84caa73b,
             0x3c6ef372, 0xfe94f82b,
             0xa54ff53a, 0x5f1d36f1,
             0x510e527f, 0xade682d1,
             0x9b05688c, 0x2b3e6c1f,
             0x1f83d9ab, 0xfb41bd6b,
             0x5be0cd19, 0x137e2179 ];
  this.k = sha512_K;
  this.W = new Array(160);
}
utils.inherits(SHA512, BlockHash);
exports.sha512 = SHA512;

SHA512.blockSize = 1024;
SHA512.outSize = 512;
SHA512.hmacStrength = 192;
SHA512.padLength = 128;

SHA512.prototype._prepareBlock = function _prepareBlock(msg, start) {
  var W = this.W;

  // 32 x 32bit words
  for (var i = 0; i < 32; i++)
    W[i] = msg[start + i];
  for (; i < W.length; i += 2) {
    var c0_hi = g1_512_hi(W[i - 4], W[i - 3]);  // i - 2
    var c0_lo = g1_512_lo(W[i - 4], W[i - 3]);
    var c1_hi = W[i - 14];  // i - 7
    var c1_lo = W[i - 13];
    var c2_hi = g0_512_hi(W[i - 30], W[i - 29]);  // i - 15
    var c2_lo = g0_512_lo(W[i - 30], W[i - 29]);
    var c3_hi = W[i - 32];  // i - 16
    var c3_lo = W[i - 31];

    W[i] = sum64_4_hi(c0_hi, c0_lo,
                      c1_hi, c1_lo,
                      c2_hi, c2_lo,
                      c3_hi, c3_lo);
    W[i + 1] = sum64_4_lo(c0_hi, c0_lo,
                          c1_hi, c1_lo,
                          c2_hi, c2_lo,
                          c3_hi, c3_lo);
  }
};

SHA512.prototype._update = function _update(msg, start) {
  this._prepareBlock(msg, start);

  var W = this.W;

  var ah = this.h[0];
  var al = this.h[1];
  var bh = this.h[2];
  var bl = this.h[3];
  var ch = this.h[4];
  var cl = this.h[5];
  var dh = this.h[6];
  var dl = this.h[7];
  var eh = this.h[8];
  var el = this.h[9];
  var fh = this.h[10];
  var fl = this.h[11];
  var gh = this.h[12];
  var gl = this.h[13];
  var hh = this.h[14];
  var hl = this.h[15];

  assert(this.k.length === W.length);
  for (var i = 0; i < W.length; i += 2) {
    var c0_hi = hh;
    var c0_lo = hl;
    var c1_hi = s1_512_hi(eh, el);
    var c1_lo = s1_512_lo(eh, el);
    var c2_hi = ch64_hi(eh, el, fh, fl, gh, gl);
    var c2_lo = ch64_lo(eh, el, fh, fl, gh, gl);
    var c3_hi = this.k[i];
    var c3_lo = this.k[i + 1];
    var c4_hi = W[i];
    var c4_lo = W[i + 1];

    var T1_hi = sum64_5_hi(c0_hi, c0_lo,
                           c1_hi, c1_lo,
                           c2_hi, c2_lo,
                           c3_hi, c3_lo,
                           c4_hi, c4_lo);
    var T1_lo = sum64_5_lo(c0_hi, c0_lo,
                           c1_hi, c1_lo,
                           c2_hi, c2_lo,
                           c3_hi, c3_lo,
                           c4_hi, c4_lo);

    var c0_hi = s0_512_hi(ah, al);
    var c0_lo = s0_512_lo(ah, al);
    var c1_hi = maj64_hi(ah, al, bh, bl, ch, cl);
    var c1_lo = maj64_lo(ah, al, bh, bl, ch, cl);

    var T2_hi = sum64_hi(c0_hi, c0_lo, c1_hi, c1_lo);
    var T2_lo = sum64_lo(c0_hi, c0_lo, c1_hi, c1_lo);

    hh = gh;
    hl = gl;

    gh = fh;
    gl = fl;

    fh = eh;
    fl = el;

    eh = sum64_hi(dh, dl, T1_hi, T1_lo);
    el = sum64_lo(dl, dl, T1_hi, T1_lo);

    dh = ch;
    dl = cl;

    ch = bh;
    cl = bl;

    bh = ah;
    bl = al;

    ah = sum64_hi(T1_hi, T1_lo, T2_hi, T2_lo);
    al = sum64_lo(T1_hi, T1_lo, T2_hi, T2_lo);
  }

  sum64(this.h, 0, ah, al);
  sum64(this.h, 2, bh, bl);
  sum64(this.h, 4, ch, cl);
  sum64(this.h, 6, dh, dl);
  sum64(this.h, 8, eh, el);
  sum64(this.h, 10, fh, fl);
  sum64(this.h, 12, gh, gl);
  sum64(this.h, 14, hh, hl);
};

SHA512.prototype._digest = function digest(enc) {
  if (enc === 'hex')
    return utils.toHex32(this.h, 'big');
  else
    return utils.split32(this.h, 'big');
};

function SHA384() {
  if (!(this instanceof SHA384))
    return new SHA384();

  SHA512.call(this);
  this.h = [ 0xcbbb9d5d, 0xc1059ed8,
             0x629a292a, 0x367cd507,
             0x9159015a, 0x3070dd17,
             0x152fecd8, 0xf70e5939,
             0x67332667, 0xffc00b31,
             0x8eb44a87, 0x68581511,
             0xdb0c2e0d, 0x64f98fa7,
             0x47b5481d, 0xbefa4fa4 ];
}
utils.inherits(SHA384, SHA512);
exports.sha384 = SHA384;

SHA384.blockSize = 1024;
SHA384.outSize = 384;
SHA384.hmacStrength = 192;
SHA384.padLength = 128;

SHA384.prototype._digest = function digest(enc) {
  if (enc === 'hex')
    return utils.toHex32(this.h.slice(0, 12), 'big');
  else
    return utils.split32(this.h.slice(0, 12), 'big');
};

function SHA1() {
  if (!(this instanceof SHA1))
    return new SHA1();

  BlockHash.call(this);
  this.h = [ 0x67452301, 0xefcdab89, 0x98badcfe,
             0x10325476, 0xc3d2e1f0 ];
  this.W = new Array(80);
}

utils.inherits(SHA1, BlockHash);
exports.sha1 = SHA1;

SHA1.blockSize = 512;
SHA1.outSize = 160;
SHA1.hmacStrength = 80;
SHA1.padLength = 64;

SHA1.prototype._update = function _update(msg, start) {
  var W = this.W;

  for (var i = 0; i < 16; i++)
    W[i] = msg[start + i];

  for(; i < W.length; i++)
    W[i] = rotl32(W[i - 3] ^ W[i - 8] ^ W[i - 14] ^ W[i - 16], 1);

  var a = this.h[0];
  var b = this.h[1];
  var c = this.h[2];
  var d = this.h[3];
  var e = this.h[4];

  for (var i = 0; i < W.length; i++) {
    var s = ~~(i / 20);
    var t = sum32_5(rotl32(a, 5), ft_1(s, b, c, d), e, W[i], sha1_K[s]);
    e = d;
    d = c;
    c = rotl32(b, 30);
    b = a;
    a = t;
  }

  this.h[0] = sum32(this.h[0], a);
  this.h[1] = sum32(this.h[1], b);
  this.h[2] = sum32(this.h[2], c);
  this.h[3] = sum32(this.h[3], d);
  this.h[4] = sum32(this.h[4], e);
};

SHA1.prototype._digest = function digest(enc) {
  if (enc === 'hex')
    return utils.toHex32(this.h, 'big');
  else
    return utils.split32(this.h, 'big');
};

function ch32(x, y, z) {
  return (x & y) ^ ((~x) & z);
}

function maj32(x, y, z) {
  return (x & y) ^ (x & z) ^ (y & z);
}

function p32(x, y, z) {
  return x ^ y ^ z;
}

function s0_256(x) {
  return rotr32(x, 2) ^ rotr32(x, 13) ^ rotr32(x, 22);
}

function s1_256(x) {
  return rotr32(x, 6) ^ rotr32(x, 11) ^ rotr32(x, 25);
}

function g0_256(x) {
  return rotr32(x, 7) ^ rotr32(x, 18) ^ (x >>> 3);
}

function g1_256(x) {
  return rotr32(x, 17) ^ rotr32(x, 19) ^ (x >>> 10);
}

function ft_1(s, x, y, z) {
  if (s === 0)
    return ch32(x, y, z);
  if (s === 1 || s === 3)
    return p32(x, y, z);
  if (s === 2)
    return maj32(x, y, z);
}

function ch64_hi(xh, xl, yh, yl, zh, zl) {
  var r = (xh & yh) ^ ((~xh) & zh);
  if (r < 0)
    r += 0x100000000;
  return r;
}

function ch64_lo(xh, xl, yh, yl, zh, zl) {
  var r = (xl & yl) ^ ((~xl) & zl);
  if (r < 0)
    r += 0x100000000;
  return r;
}

function maj64_hi(xh, xl, yh, yl, zh, zl) {
  var r = (xh & yh) ^ (xh & zh) ^ (yh & zh);
  if (r < 0)
    r += 0x100000000;
  return r;
}

function maj64_lo(xh, xl, yh, yl, zh, zl) {
  var r = (xl & yl) ^ (xl & zl) ^ (yl & zl);
  if (r < 0)
    r += 0x100000000;
  return r;
}

function s0_512_hi(xh, xl) {
  var c0_hi = rotr64_hi(xh, xl, 28);
  var c1_hi = rotr64_hi(xl, xh, 2);  // 34
  var c2_hi = rotr64_hi(xl, xh, 7);  // 39

  var r = c0_hi ^ c1_hi ^ c2_hi;
  if (r < 0)
    r += 0x100000000;
  return r;
}

function s0_512_lo(xh, xl) {
  var c0_lo = rotr64_lo(xh, xl, 28);
  var c1_lo = rotr64_lo(xl, xh, 2);  // 34
  var c2_lo = rotr64_lo(xl, xh, 7);  // 39

  var r = c0_lo ^ c1_lo ^ c2_lo;
  if (r < 0)
    r += 0x100000000;
  return r;
}

function s1_512_hi(xh, xl) {
  var c0_hi = rotr64_hi(xh, xl, 14);
  var c1_hi = rotr64_hi(xh, xl, 18);
  var c2_hi = rotr64_hi(xl, xh, 9);  // 41

  var r = c0_hi ^ c1_hi ^ c2_hi;
  if (r < 0)
    r += 0x100000000;
  return r;
}

function s1_512_lo(xh, xl) {
  var c0_lo = rotr64_lo(xh, xl, 14);
  var c1_lo = rotr64_lo(xh, xl, 18);
  var c2_lo = rotr64_lo(xl, xh, 9);  // 41

  var r = c0_lo ^ c1_lo ^ c2_lo;
  if (r < 0)
    r += 0x100000000;
  return r;
}

function g0_512_hi(xh, xl) {
  var c0_hi = rotr64_hi(xh, xl, 1);
  var c1_hi = rotr64_hi(xh, xl, 8);
  var c2_hi = shr64_hi(xh, xl, 7);

  var r = c0_hi ^ c1_hi ^ c2_hi;
  if (r < 0)
    r += 0x100000000;
  return r;
}

function g0_512_lo(xh, xl) {
  var c0_lo = rotr64_lo(xh, xl, 1);
  var c1_lo = rotr64_lo(xh, xl, 8);
  var c2_lo = shr64_lo(xh, xl, 7);

  var r = c0_lo ^ c1_lo ^ c2_lo;
  if (r < 0)
    r += 0x100000000;
  return r;
}

function g1_512_hi(xh, xl) {
  var c0_hi = rotr64_hi(xh, xl, 19);
  var c1_hi = rotr64_hi(xl, xh, 29);  // 61
  var c2_hi = shr64_hi(xh, xl, 6);

  var r = c0_hi ^ c1_hi ^ c2_hi;
  if (r < 0)
    r += 0x100000000;
  return r;
}

function g1_512_lo(xh, xl) {
  var c0_lo = rotr64_lo(xh, xl, 19);
  var c1_lo = rotr64_lo(xl, xh, 29);  // 61
  var c2_lo = shr64_lo(xh, xl, 6);

  var r = c0_lo ^ c1_lo ^ c2_lo;
  if (r < 0)
    r += 0x100000000;
  return r;
}

},{"../hash":23}],28:[function(require,module,exports){
var utils = exports;
var inherits = require('inherits');

function toArray(msg, enc) {
  if (Array.isArray(msg))
    return msg.slice();
  if (!msg)
    return [];
  var res = [];
  if (typeof msg === 'string') {
    if (!enc) {
      for (var i = 0; i < msg.length; i++) {
        var c = msg.charCodeAt(i);
        var hi = c >> 8;
        var lo = c & 0xff;
        if (hi)
          res.push(hi, lo);
        else
          res.push(lo);
      }
    } else if (enc === 'hex') {
      msg = msg.replace(/[^a-z0-9]+/ig, '');
      if (msg.length % 2 !== 0)
        msg = '0' + msg;
      for (var i = 0; i < msg.length; i += 2)
        res.push(parseInt(msg[i] + msg[i + 1], 16));
    }
  } else {
    for (var i = 0; i < msg.length; i++)
      res[i] = msg[i] | 0;
  }
  return res;
}
utils.toArray = toArray;

function toHex(msg) {
  var res = '';
  for (var i = 0; i < msg.length; i++)
    res += zero2(msg[i].toString(16));
  return res;
}
utils.toHex = toHex;

function htonl(w) {
  var res = (w >>> 24) |
            ((w >>> 8) & 0xff00) |
            ((w << 8) & 0xff0000) |
            ((w & 0xff) << 24);
  return res >>> 0;
}
utils.htonl = htonl;

function toHex32(msg, endian) {
  var res = '';
  for (var i = 0; i < msg.length; i++) {
    var w = msg[i];
    if (endian === 'little')
      w = htonl(w);
    res += zero8(w.toString(16));
  }
  return res;
}
utils.toHex32 = toHex32;

function zero2(word) {
  if (word.length === 1)
    return '0' + word;
  else
    return word;
}
utils.zero2 = zero2;

function zero8(word) {
  if (word.length === 7)
    return '0' + word;
  else if (word.length === 6)
    return '00' + word;
  else if (word.length === 5)
    return '000' + word;
  else if (word.length === 4)
    return '0000' + word;
  else if (word.length === 3)
    return '00000' + word;
  else if (word.length === 2)
    return '000000' + word;
  else if (word.length === 1)
    return '0000000' + word;
  else
    return word;
}
utils.zero8 = zero8;

function join32(msg, start, end, endian) {
  var len = end - start;
  assert(len % 4 === 0);
  var res = new Array(len / 4);
  for (var i = 0, k = start; i < res.length; i++, k += 4) {
    var w;
    if (endian === 'big')
      w = (msg[k] << 24) | (msg[k + 1] << 16) | (msg[k + 2] << 8) | msg[k + 3];
    else
      w = (msg[k + 3] << 24) | (msg[k + 2] << 16) | (msg[k + 1] << 8) | msg[k];
    res[i] = w >>> 0;
  }
  return res;
}
utils.join32 = join32;

function split32(msg, endian) {
  var res = new Array(msg.length * 4);
  for (var i = 0, k = 0; i < msg.length; i++, k += 4) {
    var m = msg[i];
    if (endian === 'big') {
      res[k] = m >>> 24;
      res[k + 1] = (m >>> 16) & 0xff;
      res[k + 2] = (m >>> 8) & 0xff;
      res[k + 3] = m & 0xff;
    } else {
      res[k + 3] = m >>> 24;
      res[k + 2] = (m >>> 16) & 0xff;
      res[k + 1] = (m >>> 8) & 0xff;
      res[k] = m & 0xff;
    }
  }
  return res;
}
utils.split32 = split32;

function rotr32(w, b) {
  return (w >>> b) | (w << (32 - b));
}
utils.rotr32 = rotr32;

function rotl32(w, b) {
  return (w << b) | (w >>> (32 - b));
}
utils.rotl32 = rotl32;

function sum32(a, b) {
  return (a + b) >>> 0;
}
utils.sum32 = sum32;

function sum32_3(a, b, c) {
  return (a + b + c) >>> 0;
}
utils.sum32_3 = sum32_3;

function sum32_4(a, b, c, d) {
  return (a + b + c + d) >>> 0;
}
utils.sum32_4 = sum32_4;

function sum32_5(a, b, c, d, e) {
  return (a + b + c + d + e) >>> 0;
}
utils.sum32_5 = sum32_5;

function assert(cond, msg) {
  if (!cond)
    throw new Error(msg || 'Assertion failed');
}
utils.assert = assert;

utils.inherits = inherits;

function sum64(buf, pos, ah, al) {
  var bh = buf[pos];
  var bl = buf[pos + 1];

  var lo = (al + bl) >>> 0;
  var hi = (lo < al ? 1 : 0) + ah + bh;
  buf[pos] = hi >>> 0;
  buf[pos + 1] = lo;
}
exports.sum64 = sum64;

function sum64_hi(ah, al, bh, bl) {
  var lo = (al + bl) >>> 0;
  var hi = (lo < al ? 1 : 0) + ah + bh;
  return hi >>> 0;
};
exports.sum64_hi = sum64_hi;

function sum64_lo(ah, al, bh, bl) {
  var lo = al + bl;
  return lo >>> 0;
};
exports.sum64_lo = sum64_lo;

function sum64_4_hi(ah, al, bh, bl, ch, cl, dh, dl) {
  var carry = 0;
  var lo = al;
  lo = (lo + bl) >>> 0;
  carry += lo < al ? 1 : 0;
  lo = (lo + cl) >>> 0;
  carry += lo < cl ? 1 : 0;
  lo = (lo + dl) >>> 0;
  carry += lo < dl ? 1 : 0;

  var hi = ah + bh + ch + dh + carry;
  return hi >>> 0;
};
exports.sum64_4_hi = sum64_4_hi;

function sum64_4_lo(ah, al, bh, bl, ch, cl, dh, dl) {
  var lo = al + bl + cl + dl;
  return lo >>> 0;
};
exports.sum64_4_lo = sum64_4_lo;

function sum64_5_hi(ah, al, bh, bl, ch, cl, dh, dl, eh, el) {
  var carry = 0;
  var lo = al;
  lo = (lo + bl) >>> 0;
  carry += lo < al ? 1 : 0;
  lo = (lo + cl) >>> 0;
  carry += lo < cl ? 1 : 0;
  lo = (lo + dl) >>> 0;
  carry += lo < dl ? 1 : 0;
  lo = (lo + el) >>> 0;
  carry += lo < el ? 1 : 0;

  var hi = ah + bh + ch + dh + eh + carry;
  return hi >>> 0;
};
exports.sum64_5_hi = sum64_5_hi;

function sum64_5_lo(ah, al, bh, bl, ch, cl, dh, dl, eh, el) {
  var lo = al + bl + cl + dl + el;

  return lo >>> 0;
};
exports.sum64_5_lo = sum64_5_lo;

function rotr64_hi(ah, al, num) {
  var r = (al << (32 - num)) | (ah >>> num);
  return r >>> 0;
};
exports.rotr64_hi = rotr64_hi;

function rotr64_lo(ah, al, num) {
  var r = (ah << (32 - num)) | (al >>> num);
  return r >>> 0;
};
exports.rotr64_lo = rotr64_lo;

function shr64_hi(ah, al, num) {
  return ah >>> num;
};
exports.shr64_hi = shr64_hi;

function shr64_lo(ah, al, num) {
  var r = (ah << (32 - num)) | (al >>> num);
  return r >>> 0;
};
exports.shr64_lo = shr64_lo;

},{"inherits":29}],29:[function(require,module,exports){
if (typeof Object.create === 'function') {
  // implementation from standard node.js 'util' module
  module.exports = function inherits(ctor, superCtor) {
    ctor.super_ = superCtor
    ctor.prototype = Object.create(superCtor.prototype, {
      constructor: {
        value: ctor,
        enumerable: false,
        writable: true,
        configurable: true
      }
    });
  };
} else {
  // old school shim for old browsers
  module.exports = function inherits(ctor, superCtor) {
    ctor.super_ = superCtor
    var TempCtor = function () {}
    TempCtor.prototype = superCtor.prototype
    ctor.prototype = new TempCtor()
    ctor.prototype.constructor = ctor
  }
}

},{}],30:[function(require,module,exports){
module.exports={
  "name": "elliptic",
  "version": "5.1.0",
  "description": "EC cryptography",
  "main": "lib/elliptic.js",
  "scripts": {
    "test": "make lint && mocha --reporter=spec test/*-test.js"
  },
  "repository": {
    "type": "git",
    "url": "git+ssh://git@github.com/indutny/elliptic.git"
  },
  "keywords": [
    "EC",
    "Elliptic",
    "curve",
    "Cryptography"
  ],
  "author": {
    "name": "Fedor Indutny",
    "email": "fedor@indutny.com"
  },
  "license": "MIT",
  "bugs": {
    "url": "https://github.com/indutny/elliptic/issues"
  },
  "homepage": "https://github.com/indutny/elliptic",
  "devDependencies": {
    "browserify": "^3.44.2",
    "jscs": "^1.11.3",
    "jshint": "^2.6.0",
    "mocha": "^2.1.0",
    "uglify-js": "^2.4.13"
  },
  "dependencies": {
    "bn.js": "^3.1.1",
    "brorand": "^1.0.1",
    "hash.js": "^1.0.0",
    "inherits": "^2.0.1"
  },
  "gitHead": "4f12b8f6bcb16e38d4a038af2d963dc10d175bde",
  "_id": "elliptic@5.1.0",
  "_shasum": "5658dfa7625a6a8fc687a5b8f249376bb271e6e9",
  "_from": "elliptic@>=5.0.0 <6.0.0",
  "_npmVersion": "2.12.1",
  "_nodeVersion": "2.3.4",
  "_npmUser": {
    "name": "indutny",
    "email": "fedor@indutny.com"
  },
  "maintainers": [
    {
      "name": "indutny",
      "email": "fedor@indutny.com"
    }
  ],
  "dist": {
    "shasum": "5658dfa7625a6a8fc687a5b8f249376bb271e6e9",
    "tarball": "http://registry.npmjs.org/elliptic/-/elliptic-5.1.0.tgz"
  },
  "directories": {},
  "_resolved": "https://registry.npmjs.org/elliptic/-/elliptic-5.1.0.tgz",
  "readme": "ERROR: No README data found!"
}

},{}],31:[function(require,module,exports){
(function (Buffer){
const SHA3 = require('sha3')
const ec = require('elliptic').ec('secp256k1')
const assert = require('assert')
const rlp = require('rlp')
const BN = require('bn.js')

// the max interger that this VM can handle
exports.MAX_INTEGER = new BN('ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff', 16)
exports.TWO_POW256 = new BN('115792089237316195423570985008687907853269984665640564039457584007913129639936')

// hex string of SHA3-256 hash of `null`
exports.SHA3_NULL = 'c5d2460186f7233c927e7db2dcc703c0e500b653ca82273b7bfad8045d85a470'

// SHA3-256 hash of the rlp of []
exports.SHA3_RLP_ARRAY = '1dcc4de8dec75d7aab85b567b6ccd41ad312451b948a7413f0a142fd40d49347'

// SHA3-256 hash of the rlp of `null`
exports.SHA3_RLP = '56e81f171bcc55a6ff8345e692c0f86e5b48e01b996cadc001622fb5e363b421'

exports.BN = BN
exports.rlp = rlp

/**
 * Returns a buffer filled with 0s
 * @method zeros
 * @param {Integer} bytes  the number of bytes the buffer should be
 * @return {Buffer}
 */
exports.zeros = function (bytes) {
  var buf = new Buffer(bytes)
  buf.fill(0)
  return buf
}

/**
 * pads an array of buffer with leading zeros till it has `length` bytes
 * @method pad
 * @param {Buffer|Array} array
 * @param {Integer}  length the number of bytes the output should be
 * @return {Buffer|Array}
 */
exports.pad = function (msg, length) {
  if (msg.length < length) {
    var buf = exports.zeros(length)
    msg.copy(buf, length - msg.length)
    return buf
  }
  return msg.slice(-length)
}

/**
 * Trims leading zeros from a buffer or an array
 * @method unpad
 * @param {Buffer|Array|String}
 * @return {Buffer|Array|String}
 */
exports.unpad = exports.stripZeros = function (a) {
  var first = a[0]
  while (a.length > 0 && first.toString() === '0') {
    a = a.slice(1)
    first = a[0]
  }
  return a
}

exports.toBuffer = function (v) {
  if (!Buffer.isBuffer(v)) {
    if (typeof v === 'string') {
      v = new Buffer(padToEven(exports.stripHexPrefix(v)), 'hex')
    } else if (typeof v === 'number') {
      v = exports.intToBuffer(v)
    } else if (v === null || v === undefined) {
      v = new Buffer([])
    } else if (v.toArray) {
      // converts a BN to a Buffer
      v = new Buffer(v.toArray())
    } else {
      throw new Error('invalid type')
    }
  }
  return v
}

/**
 * Converts an integer into a hex string
 * @method intToHex
 * @param {Number}
 * @return {String}
 */
exports.intToHex = function (i) {
  assert(i % 1 === 0, 'number is not a interger')
  assert(i >= 0, 'number must be positive')
  var hex = i.toString(16)
  if (hex.length % 2) {
    hex = '0' + hex
  }

  return hex
}

/**
 * Converts an integer to a buffer
 * @method intToBuffer
 * @param {Number}
 * @return {Buffer}
 */
exports.intToBuffer = function (i) {
  var hex = exports.intToHex(i)
  return new Buffer(hex, 'hex')
}

/**
 * Converts a buffer to an Interger
 * @method bufferToInt
 * @par[MaÅam {B[M`Êuffer}
 * @return {Number}
 */
exports.bufferToInt = function (buf) {
  if (buf.length === 0) {
    return 0
  }

  return parseInt(buf.toString('hex'), 16)
}

/**
 * interpets a buffer as a signed integer and returns a bignum
 * @method fromSigned
 * @param {Buffer} num
 * @return {BN}
 */
exports.fromSigned = function (num) {
  if (num.length === 32 && num[0] >= 128) {
    return new BN(num).sub(exports.TWO_POW256)
  }

  return new BN(num)
}

/**
 * Converts a bignum to an unsigned interger and returns it as a buffer
 * @method toUnsigned
 * @param {Bignum} num
 * @return {Buffer}
 */
exports.toUnsigned = function (num) {
  if (num.cmpn(0) === -1) {
    return new Buffer(num.add(exports.TWO_POW256).toArray())
  }

  return new Buffer(num.toArray())
}

exports.sha3 = function (a, bytes) {
  if (!bytes) bytes = 256

  var h = new SHA3.SHA3Hash(bytes)
  if (a) {
    h.update(a)
  }
  return new Buffer(h.digest('hex'), 'hex')
}

/**
 * Returns the ethereum address of a given public key
 * @method pubToAddress
 * @param {Buffer}
 * @return {Buffer}
 */
exports.pubToAddress = exports.publicToAddress = function (pubKey) {
  var hash = new SHA3.SHA3Hash(256)
  hash.update(pubKey.slice(-64))
  return new Buffer(hash.digest('hex').slice(-40), 'hex')
}

/**
 * Returns the ethereum public key of a given private key
 * @method privateToPublic
 * @param {Buffer} privateKey
 * @return {Buffer}
 */
var privateToPublic = exports.privateToPublic = function (privateKey) {
  privateKey = new BN(privateKey)
  var key = ec.keyFromPrivate(privateKey).getPublic().toJSON()
  return new Buffer(key[0].toArray().concat(key[1].toArray()))
}

/**
 * Returns the ethereum address of a given private key
 * @method privateToAddress
 * @param {Buffer} privateKey
 * @return {Buffer}
 */
exports.privateToAddress = function (privateKey) {
  return exports.publicToAddress(privateToPublic(privateKey))
}

/**
 * Generates a new address
 * @method generateAddress
 * @param {Buffer} from the address which is creating this new address
 * @param {Buffer} nonce the nonce of the from account
 */
exports.generateAddress = function (from, nonce) {
  nonce = new Buffer(new BN(nonce).subn(1).toArray())

  if (nonce.toString('hex') === '00') {
    nonce = 0
  }

  var hash = exports.sha3(rlp.encode([new Buffer(from, 'hex'), nonce]))
  return hash.slice(12)
}

// Returns a Boolean on whether or not the a sting starts with 0x
exports.isHexPrefixed = function (str) {
  return str.slice(0, 2) === '0x'
}

// Removes 0x from a given String
exports.stripHexPrefix = function (str) {
  if (typeof str !== 'string') {
    return str
  }
  return exports.isHexPrefixed(str) ? str.slice(2) : str
}

// Adds 0x to a given string if it does not already start with 0x
exports.addHexPrefix = function (str) {
  if (typeof str !== 'string') {
    return str
  }
  return exports.isHexPrefixed(str) ? '0x' + str : str
}

/**
 * defines properties on a `Object`
 * @method defineProperties
 * @para[M`Êm {Object} self the `Object` to define properties on
 * @param {Array} fields an array fields to define
 */
exports.defineProperties = function (self, fields, data) {
  self.raw = []
  self._fields = []

  self.toJSON = function (label) {
    if (label) {
      var obj = {}

      for (var prop in this) {
        if (typeof this[prop] !== 'function' && prop !== 'raw' && prop !== '_fields') {
          obj[prop] = this[prop].toString('hex')
        }
      }
      return obj
    }

    return exports.baToJSON(this.raw)
  }

  fields.forEach(function (field, i) {
    self._fields.push(field.name)
    Object.defineProperty(self, field.name, {
      enumerable: true,
      configurable: true,
      get: function () {
        return this.raw[i]
      },
      set: function (v) {
        v = exports.toBuffer(v)

        if (v.toString('hex') === '00' && !field.allowZero) {
          v = new Buffer([])
        }

        if (field.allowLess && field.length) {
          v = exports.stripZeros(v)
          assert(field.length >= v.length)
        } else if (!(field.empty && v.length === 0) && field.length) {
          assert(field.length === v.length, 'The field ' + field.name + 'must have byte length of ' + field.length)
        }

        this.raw[i] = v
      }
    })

    if (field.default) {
      self[field.name] = field.default
    }
  })

  if (data) {
    if (typeof data === 'string') {
      data = new Buffer(exports.stripHexPrefix(data), 'hex')
    }

    if (Buffer.isBuffer(data)) {
      data = rlp.decode(data)
    }

    if (Array.isArray(data)) {
      if (data.length > self._fields.length) {
        throw (new Error('wrong number of fields in data'))
      }

      // make sure all the items are buffers
      data.forEach(function (d, i) {
        self[self._fields[i]] = typeof d === 'string' ? new Buffer(d, 'hex') : d
      })
    } else if (typeof data === 'object') {
      for (var prop in data) {
        if (self._fields.indexOf(prop) !== -1) {
          self[prop] = data[prop]
        }
      }
    } else {
      throw new Error('invalid data')
    }
  }
}

/**
 * Print a Buffer Array
 * @method printBA
 * @param {Buffer|Array}
 */
exports.printBA = function (ba) {
  if (Buffer.isBuffer(ba)) {
    if (ba.length === 0) {
      console.log('new Buffer(0)')
    } else {
      console.log("new Buffer('" + ba.toString('hex') + "', 'hex')")
    }
  } else if (ba instanceof Array) {
    console.log('[')
    for (var i = 0; i < ba.length; i++) {
      exports.printBA(ba[i])
      console.log(',')
    }
    console.log(']')
  } else {
    console.log(ba)
  }
}

/**
 * converts a buffer array to JSON
 * @method BAToJSON
 * @param {Buffer|Array}
 */
exports.baToJSON = function (ba) {
  if (Buffer.isBuffer(ba)) {
    return ba.toString('hex')
  } else if (ba instanceof Array) {
    var array = []
    for (var i = 0; i < ba.length; i++) {
      array.push(exports.baToJSON(ba[i]))
    }
    return array
  }
}

function padToEven (a) {
  if (a.length % 2) a = '0' + a
  return a
}

}).call(this,require("buffer").Buffer)
},{"assert":61,"bn.js":32,"buffer":62,"elliptic":35,"rlp":60,"sha3":33}],32:[function(require,module,exports){
arguments[4][5][0].apply(exports,arguments)
},{"dup":5}],33:[function(require,module,exports){
(function (Buffer){
const Sha3 = require('js-sha3')

var hash = function (bitcount) {
  this.content = ''
  this.bitcount = bitcount ? 'keccak_' + bitcount : 'keccak_512'
}

hash.prototype.update = function (i) {
  this.content = Buffer.isBuffer(i) ? i : new Buffer(i);
}

hash.prototype.digest = function (encoding) {
  var result = Sha3[this.bitcount](this.content) 
  if(encoding === 'hex')
    return result
  else
    return new Buffer(result, 'hex').toString('binary')
}

module.exports = {
  SHA3Hash: hash
}

}).call(this,require("buffer").Buffer)
},{"buffer":62,"js-sha3":34}],34:[function(require,module,exports){
(function (global){
/*
 * js-sha3 v0.3.1
 * https://github.com/emn178/js-sha3
 *
 * Copyright 2015, emn178@gmail.com
 *
 * Licensed under the MIT license:
 * http://www.opensource.org/licenses/MIT
 */
;(function(root, undefined) {
  'use strict';

  var NODE_JS = typeof(module) != 'undefined';
  if(NODE_JS) {
    root = global;
    if(root.JS_SHA3_TEST) {
      root.navigator = { userAgent: 'Chrome'};
    }
  }
  var CHROME = (root.JS_SHA3_TEST || !NODE_JS) && navigator.userAgent.indexOf('Chrome') != -1;
  var HEX_CHARS = '0123456789abcdef'.split('');
  var KECCAK_PADDING = [1, 256, 65536, 16777216];
  var PADDING = [6, 1536, 393216, 100663296];
  var SHIFT = [0, 8, 16, 24];
  var RC = [1, 0, 32898, 0, 32906, 2147483648, 2147516416, 2147483648, 32907, 0, 2147483649,
            0, 2147516545, 2147483648, 32777, 2147483648, 138, 0, 136, 0, 2147516425, 0, 
            2147483658, 0, 2147516555, 0, 139, 2147483648, 32905, 2147483648, 32771, 
            2147483648, 32770, 2147483648, 128, 2147483648, 32778, 0, 2147483658, 2147483648,
            2147516545, 2147483648, 32896, 2147483648, 2147483649, 0, 2147516424, 2147483648];

  var blocks = [], s = [];

  var keccak_224 = function(message) {
    return keccak(message, 224, KECCAK_PADDING);
  };

  var keccak_256 = function(message) {
    return keccak(message, 256, KECCAK_PADDING);
  };

  var keccak_384 = function(message) {
    return keccak(message, 384, KECCAK_PADDING);
  };

  var sha3_224 = function(message) {
    return keccak(message, 224, PADDING);
  };

  var sha3_256 = function(message) {
    return keccak(message, 256, PADDING);
  };

  var sha3_384 = function(message) {
    return keccak(message, 384, PADDING);
  };

  var sha3_512 = function(message) {
    return keccak(message, 512, PADDING);
  };

  var keccak = function(message, bits, padding) {
    var notString = typeof(message) != 'string';
    if(notString && message.constructor == root.ArrayBuffer) {
      message = new Uint8Array(message);
    }

    if(bits === undefined) {
      bits = 512;
      padding = KECCAK_PADDING;
    }

    var block, code, end = false, index = 0, start = 0, length = message.length,
        n, i, h, l, c0, c1, c2, c3, c4, c5, c6, c7, c8, c9, 
        b0, b1, b2, b3, b4, b5, b6, b7, b8, b9, b10, b11, b12, b13, b14, b15, b16, b17, 
        b18, b19, b20, b21, b22, b23, b24, b25, b26, b27, b28, b29, b30, b31, b32, b33, 
        b34, b35, b36, b37, b38, b39, b40, b41, b42, b43, b44, b45, b46, b47, b48, b49;
    var blockCount = (1600 - bits * 2) / 32;
    var byteCount = blockCount * 4;

    for(i = 0;i < 50;++i) {
      s[i] = 0;
    }

    block = 0;
    do {
      blocks[0] = block;
      for(i = 1;i < blockCount + 1;++i) {
        blocks[i] = 0;
      }
      if(notString) {
        for (i = start;index < length && i < byteCount; ++index) {
          blocks[i >> 2] |= message[index] << SHIFT[i++ & 3];
        }
      } else {
        for (i = start;index < length && i < byteCount; ++index) {
          code = message.charCodeAt(index);
          if (code < 0x80) {
            blocks[i >> 2] |= code << SHIFT[i++ & 3];
          } else if (code < 0x800) {
            blocks[i >> 2] |= (0xc0 | (code >> 6)) << SHIFT[i++ & 3];
            blocks[i >> 2] |= (0x80 | (code & 0x3f)) << SHIFT[i++ & 3];
          } else if (code < 0xd800 || code >= 0xe000) {
            blocks[i >> 2] |= (0xe0 | (code >> 12)) << SHIFT[i++ & 3];
            blocks[i >> 2] |= (0x80 | ((code >> 6) & 0x3f)) << SHIFT[i++ & 3];
            blocks[i >> 2] |= (0x80 | (code & 0x3f)) << SHIFT[i++ & 3];
          } else {
            code = 0x10000 + (((code & 0x3ff) << 10) | (message.charCodeAt(++index) & 0x3ff));
            blocks[i >> 2] |= (0xf0 | (code >> 18)) << SHIFT[i++ & 3];
            blocks[i >> 2] |= (0x80 | ((code >> 12) & 0x3f)) << SHIFT[i++ & 3];
            blocks[i >> 2] |= (0x80 | ((code >> 6) & 0x3f)) << SHIFT[i++ & 3];
            blocks[i >> 2] |= (0x80 | (code & 0x3f)) << SHIFT[i++ & 3];
          }
        }
      }
      start = i - byteCount;
      if(index == length) {
        blocks[i >> 2] |= padding[i & 3];
        ++index;
      }
      block = blocks[blockCount];
      if(index > length && i < byteCount) {
        blocks[blockCount - 1] |= 0x80000000;
        end = true;
      }

      for(i = 0;i < blockCount;++i) {
        s[i] ^= blocks[i];
      }

      for(n = 0; n < 48; n += 2) {
        c0 = s[0] ^ s[10] ^ s[20] ^ s[30] ^ s[40];
        c1 = s[1] ^ s[11] ^ s[21] ^ s[31] ^ s[41];
        c2 = s[2] ^ s[12] ^ s[22] ^ s[32] ^ s[42];
        c3 = s[3] ^ s[13] ^ s[23] ^ s[33] ^ s[43];
        c4 = s[4] ^ s[14] ^ s[24] ^ s[34] ^ s[44];
        c5 = s[5] ^ s[15] ^ s[25] ^ s[35] ^ s[45];
        c6 = s[6] ^ s[16] ^ s[26] ^ s[36] ^ s[46];
        c7 = s[7] ^ s[17] ^ s[27] ^ s[37] ^ s[47];
        c8 = s[8] ^ s[18] ^ s[28] ^ s[38] ^ s[48];
        c9 = s[9] ^ s[19] ^ s[29] ^ s[39] ^ s[49];

        h = c8 ^ ((c2 << 1) | (c3 >>> 31));
        l = c9 ^ ((c3 << 1) | (c2 >>> 31));
        s[0] ^= h;
        s[1] ^= l;
        s[10] ^= h;
        s[11] ^= l;
        s[20] ^= h;
        s[21] ^= l;
        s[30] ^= h;
        s[31] ^= l;
        s[40] ^= h;
        s[41] ^= l;
        h = c0 ^ ((c4 << 1) | (c5 >>> 31));
        l = c1 ^ ((c5 << 1) | (c4 >>> 31));
        s[2] ^= h;
        s[3] ^= l;
        s[12] ^= h;
        s[13] ^= l;
        s[22] ^= h;
        s[23] ^= l;
        s[32] ^= h;
        s[33] ^= l;
        s[42] ^= h;
        s[43] ^= l;
        h = c2 ^ ((c6 << 1) | (c7 >>> 31));
        l = c3 ^ ((c7 << 1) | (c6 >>> 31));
        s[4] ^= h;
        s[5] ^= l;
        s[14] ^= h;
        s[15] ^= l;
        s[24] ^= h;
        s[25] ^= l;
        s[34] ^= h;
        s[35] ^= l;
        s[44] ^= h;
        s[45] ^= l;
        h = c4 ^ ((c8 << 1) | (c9 >>> 31));
        l = c5 ^ ((c9 << 1) | (c8 >>> 31));
        s[6] ^= h;
        s[7] ^= l;
        s[16] ^= h;
        s[17] ^= l;
        s[26] ^= h;
        s[27] ^= l;
        s[36] ^= h;
        s[37] ^= l;
        s[46] ^= h;
        s[47] ^= l;
        h = c6 ^ ((c0 << 1) | (c1 >>> 31));
        l = c7 ^ ((c1 << 1) | (c0 >>> 31));
        s[8] ^= h;
        s[9] ^= l;
        s[18] ^= h;
        s[19] ^= l;
        s[28] ^= h;
        s[29] ^= l;
        s[38] ^= h;
        s[39] ^= l;
        s[48] ^= h;
        s[49] ^= l;

        b0 = s[0];
        b1 = s[1];
        b32 = (s[11] << 4) | (s[10] >>> 28);
        b33 = (s[10] << 4) | (s[11] >>> 28);
        b14 = (s[20] << 3) | (s[21] >>> 29);
        b15 = (s[21] << 3) | (s[20] >>> 29);
        b46 = (s[31] << 9) | (s[30] >>> 23);
        b47 = (s[30] << 9) | (s[31] >>> 23);
        b28 = (s[40] << 18) | (s[41] >>> 14);
        b29 = (s[41] << 18) | (s[40] >>> 14);
        b20 = (s[2] << 1) | (s[3] >>> 31);
        b21 = (s[3] << 1) | (s[2] >>> 31);
        b2 = (s[13] << 12) | (s[12] >>> 20);
        b3 = (s[12] << 12) | (s[13] >>> 20);
        b34 = (s[22] << 10) | (s[23] >>> 22);
        b35 = (s[23] << 10) | (s[22] >>> 22);
        b16 = (s[33] << 13) | (s[32] >>> 19);
        b17 = (s[32] << 13) | (s[33] >>> 19);
        b48 = (s[42] << 2) | (s[43] >>> 30);
        b49 = (s[43] << 2) | (s[42] >>> 30);
        b40 = (s[5] << 30) | (s[4] >>> 2);
        b41 = (s[4] << 30) | (s[5] >>> 2);
        b22 = (s[14] << 6) | (s[15] >>> 26);
        b23 = (s[15] << 6) | (s[14] >>> 26);
        b4 = (s[25] << 11) | (s[24] >>> 21);
        b5 = (s[24] << 11) | (s[25] >>> 21);
        b36 = (s[34] << 15) | (s[35] >>> 17);
        b37 = (s[35] << 15) | (s[34] >>> 17);
        b18 = (s[45] << 29) | (s[44] >>> 3);
        b19 = (s[44] << 29) | (s[45] >>> 3);
        b10 = (s[6] << 28) | (s[7] >>> 4);
        b11 = (s[7] << 28) | (s[6] >>> 4);
        b42 = (s[17] << 23) | (s[16] >>> 9);
        b43 = (s[16] << 23) | (s[17] >>> 9);
        b24 = (s[26] << 25) | (s[27] >>> 7);
        b25 = (s[27] << 25) | (s[26] >>> 7);
        b6 = (s[36] << 21) | (s[37] >>> 11);
        b7 = (s[37] << 21) | (s[36] >>> 11);
        b38 = (s[47] << 24) | (s[46] >>> 8);
        b39 = (s[46] << 24) | (s[47] >>> 8);
        b30 = (s[8] << 27) | (s[9] >>> 5);
        b31 = (s[9] << 27) | (s[8] >>> 5);
        b12 = (s[18] << 20) | (s[19] >>> 12);
        b13 = (s[19] << 20) | (s[18] >>> 12);
        b44 = (s[29] << 7) | (s[28] >>> 25);
        b45 = (s[28] << 7) | (s[29] >>> 25);
        b26 = (s[38] << 8) | (s[39] >>> 24);
        b27 = (s[39] << 8) | (s[38] >>> 24);
        b8 = (s[48] << 14) | (s[49] >>> 18);
        b9 = (s[49] << 14) | (s[48] >>> 18);

        s[0] = b0 ^ (~b2 & b4);
        s[1] = b1 ^ (~b3 & b5);
        s[10] = b10 ^ (~b12 & b14);
        s[11] = b11 ^ (~b13 & b15);
        s[20] = b20 ^ (~b22 & b24);
        s[21] = b21 ^ (~b23 & b25);
        s[30] = b30 ^ (~b32 & b34);
        s[31] = b31 ^ (~b33 & b35);
        s[40] = b40 ^ (~b42 & b44);
        s[41] = b41 ^ (~b43 & b45);
        s[2] = b2 ^ (~b4 & b6);
        s[3] = b3 ^ (~b5 & b7);
        s[12] = b12 ^ (~b14 & b16);
        s[13] = b13 ^ (~b15 & b17);
        s[22] = b22 ^ (~b24 & b26);
        s[23] = b23 ^ (~b25 & b27);
        s[32] = b32 ^ (~b34 & b36);
        s[33] = b33 ^ (~b35 & b37);
        s[42] = b42 ^ (~b44 & b46);
        s[43] = b43 ^ (~b45 & b47);
        s[4] = b4 ^ (~b6 & b8);
        s[5] = b5 ^ (~b7 & b9);
        s[14] = b14 ^ (~b16 & b18);
        s[15] = b15 ^ (~b17 & b19);
        s[24] = b24 ^ (~b26 & b28);
        s[25] = b25 ^ (~b27 & b29);
        s[34] = b34 ^ (~b36 & b38);
        s[35] = b35 ^ (~b37 & b39);
        s[44] = b44 ^ (~b46 & b48);
        s[45] = b45 ^ (~b47 & b49);
        s[6] = b6 ^ (~b8 & b0);
        s[7] = b7 ^ (~b9 & b1);
        s[16] = b16 ^ (~b18 & b10);
        s[17] = b17 ^ (~b19 & b11);
        s[26] = b26 ^ (~b28 & b20);
        s[27] = b27 ^ (~b29 & b21);
        s[36] = b36 ^ (~b38 & b30);
        s[37] = b37 ^ (~b39 & b31);
        s[46] = b46 ^ (~b48 & b40);
        s[47] = b47 ^ (~b49 & b41);
        s[8] = b8 ^ (~b0 & b2);
        s[9] = b9 ^ (~b1 & b3);
        s[18] = b18 ^ (~b10 & b12);
        s[19] = b19 ^ (~b11 & b13);
        s[28] = b28 ^ (~b20 & b22);
        s[29] = b29 ^ (~b21 & b23);
        s[38] = b38 ^ (~b30 & b32);
        s[39] = b39 ^ (~b31 & b33);
        s[48] = b48 ^ (~b40 & b42);
        s[49] = b49 ^ (~b41 & b43);

        s[0] ^= RC[n];
        s[1] ^= RC[n + 1];
      }
    } while(!end);

    var hex = '';
    if(CHROME) {
      b0 = s[0];
      b1 = s[1];
      b2 = s[2];
      b3 = s[3];
      b4 = s[4];
      b5 = s[5];
      b6 = s[6];
      b7 = s[7];
      b8 = s[8];
      b9 = s[9];
      b10 = s[10];
      b11 = s[11];
      b12 = s[12];
      b13 = s[13];
      b14 = s[14];
      b15 = s[15];
      hex += HEX_CHARS[(b0 >> 4) & 0x0F] + HEX_CHARS[b0 & 0x0F] +
             HEX_CHARS[(b0 >> 12) & 0x0F] + HEX_CHARS[(b0 >> 8) & 0x0F] +
             HEX_CHARS[(b0 >> 20) & 0x0F] + HEX_CHARS[(b0 >> 16) & 0x0F] +
             HEX_CHARS[(b0 >> 28) & 0x0F] + HEX_CHARS[(b0 >> 24) & 0x0F] +
             HEX_CHARS[(b1 >> 4) & 0x0F] + HEX_CHARS[b1 & 0x0F] +
             HEX_CHARS[(b1 >> 12) & 0x0F] + HEX_CHARS[(b1 >> 8) & 0x0F] +
             HEX_CHARS[(b1 >> 20) & 0x0F] + HEX_CHARS[(b1 >> 16) & 0x0F] +
             HEX_CHARS[(b1 >> 28) & 0x0F] + HEX_CHARS[(b1 >> 24) & 0x0F] +
             HEX_CHARS[(b2 >> 4) & 0x0F] + HEX_CHARS[b2 & 0x0F] +
             HEX_CHARS[(b2 >> 12) & 0x0F] + HEX_CHARS[(b2 >> 8) & 0x0F] +
             HEX_CHARS[(b2 >> 20) & 0x0F] + HEX_CHARS[(b2 >> 16) & 0x0F] +
             HEX_CHARS[(b2 >> 28) & 0x0F] + HEX_CHARS[(b2 >> 24) & 0x0F] +
             HEX_CHARS[(b3 >> 4) & 0x0F] + HEX_CHARS[b3 & 0x0F] +
             HEX_CHARS[(b3 >> 12) & 0x0F] + HEX_CHARS[(b3 >> 8) & 0x0F] +
             HEX_CHARS[(b3 >> 20) & 0x0F] + HEX_CHARS[(b3 >> 16) & 0x0F] +
             HEX_CHARS[(b3 >> 28) & 0x0F] + HEX_CHARS[(b3 >> 24) & 0x0F] +
             HEX_CHARS[(b4 >> 4) & 0x0F] + HEX_CHARS[b4 & 0x0F] +
             HEX_CHARS[(b4 >> 12) & 0x0F] + HEX_CHARS[(b4 >> 8) & 0x0F] +
             HEX_CHARS[(b4 >> 20) & 0x0F] + HEX_CHARS[(b4 >> 16) & 0x0F] +
             HEX_CHARS[(b4 >> 28) & 0x0F] + HEX_CHARS[(b4 >> 24) & 0x0F] +
             HEX_CHARS[(b5 >> 4) & 0x0F] + HEX_CHARS[b5 & 0x0F] +
             HEX_CHARS[(b5 >> 12) & 0x0F] + HEX_CHARS[(b5 >> 8) & 0x0F] +
             HEX_CHARS[(b5 >> 20) & 0x0F] + HEX_CHARS[(b5 >> 16) & 0x0F] +
             HEX_CHARS[(b5 >> 28) & 0x0F] + HEX_CHARS[(b5 >> 24) & 0x0F] +
             HEX_CHARS[(b6 >> 4) & 0x0F] + HEX_CHARS[b6 & 0x0F] +
             HEX_CHARS[(b6 >> 12) & 0x0F] + HEX_CHARS[(b6 >> 8) & 0x0F] +
             HEX_CHARS[(b6 >> 20) & 0x0F] + HEX_CHARS[(b6 >> 16) & 0x0F] +
             HEX_CHARS[(b6 >> 28) & 0x0F] + HEX_CHARS[(b6 >> 24) & 0x0F];

      if(bits >= 256) {
        hex += HEX_CHARS[(b7 >> 4) & 0x0F] + HEX_CHARS[b7 & 0x0F] +
               HEX_CHARS[(b7 >> 12) & 0x0F] + HEX_CHARS[(b7 >> 8) & 0x0F] +
               HEX_CHARS[(b7 >> 20) & 0x0F] + HEX_CHARS[(b7 >> 16) & 0x0F] +
               HEX_CHARS[(b7 >> 28) & 0x0F] + HEX_CHARS[(b7 >> 24) & 0x0F];
      }
      if(bits >= 384) {
        hex += HEX_CHARS[(b8 >> 4) & 0x0F] + HEX_CHARS[b8 & 0x0F] +
               HEX_CHARS[(b8 >> 12) & 0x0F] + HEX_CHARS[(b8 >> 8) & 0x0F] +
               HEX_CHARS[(b8 >> 20) & 0x0F] + HEX_CHARS[(b8 >> 16) & 0x0F] +
               HEX_CHARS[(b8 >> 28) & 0x0F] + HEX_CHARS[(b8 >> 24) & 0x0F] +
               HEX_CHARS[(b9 >> 4) & 0x0F] + HEX_CHARS[b9 & 0x0F] +
               HEX_CHARS[(b9 >> 12) & 0x0F] + HEX_CHARS[(b9 >> 8) & 0x0F] +
               HEX_CHARS[(b9 >> 20) & 0x0F] + HEX_CHARS[(b9 >> 16) & 0x0F] +
               HEX_CHARS[(b9 >> 28) & 0x0F] + HEX_CHARS[(b9 >> 24) & 0x0F] +
               HEX_CHARS[(b10 >> 4) & 0x0F] + HEX_CHARS[b10 & 0x0F] +
               HEX_CHARS[(b10 >> 12) & 0x0F] + HEX_CHARS[(b10 >> 8) & 0x0F] +
               HEX_CHARS[(b10 >> 20) & 0x0F] + HEX_CHARS[(b10 >> 16) & 0x0F] +
               HEX_CHARS[(b10 >> 28) & 0x0F] + HEX_CHARS[(b10 >> 24) & 0x0F] +
               HEX_CHARS[(b11 >> 4) & 0x0F] + HEX_CHARS[b11 & 0x0F] +
               HEX_CHARS[(b11 >> 12) & 0x0F] + HEX_CHARS[(b11 >> 8) & 0x0F] +
               HEX_CHARS[(b11 >> 20) & 0x0F] + HEX_CHARS[(b11 >> 16) & 0x0F] +
               HEX_CHARS[(b11 >> 28) & 0x0F] + HEX_CHARS[(b11 >> 24) & 0x0F];
      }
      if(bits == 512) {
        hex += HEX_CHARS[(b12 >> 4) & 0x0F] + HEX_CHARS[b12 & 0x0F] +
               HEX_CHARS[(b12 >> 12) & 0x0F] + HEX_CHARS[(b12 >> 8) & 0x0F] +
               HEX_CHARS[(b12 >> 20) & 0x0F] + HEX_CHARS[(b12 >> 16) & 0x0F] +
               HEX_CHARS[(b12 >> 28) & 0x0F] + HEX_CHARS[(b12 >> 24) & 0x0F] +
               HEX_CHARS[(b13 >> 4) & 0x0F] + HEX_CHARS[b13 & 0x0F] +
               HEX_CHARS[(b13 >> 12) & 0x0F] + HEX_CHARS[(b13 >> 8) & 0x0F] +
               HEX_CHARS[(b13 >> 20) & 0x0F] + HEX_CHARS[(b13 >> 16) & 0x0F] +
               HEX_CHARS[(b13 >> 28) & 0x0F] + HEX_CHARS[(b13 >> 24) & 0x0F] +
               HEX_CHARS[(b14 >> 4) & 0x0F] + HEX_CHARS[b14 & 0x0F] +
               HEX_CHARS[(b14 >> 12) & 0x0F] + HEX_CHARS[(b14 >> 8) & 0x0F] +
               HEX_CHARS[(b14 >> 20) & 0x0F] + HEX_CHARS[(b14 >> 16) & 0x0F] +
               HEX_CHARS[(b14 >> 28) & 0x0F] + HEX_CHARS[(b14 >> 24) & 0x0F] +
               HEX_CHARS[(b15 >> 4) & 0x0F] + HEX_CHARS[b15 & 0x0F] +
               HEX_CHARS[(b15 >> 12) & 0x0F] + HEX_CHARS[(b15 >> 8) & 0x0F] +
               HEX_CHARS[(b15 >> 20) & 0x0F] + HEX_CHARS[(b15 >> 16) & 0x0F] +
               HEX_CHARS[(b15 >> 28) & 0x0F] + HEX_CHARS[(b15 >> 24) & 0x0F];
      }
    } else {
      for(i = 0, n = bits / 32;i < n;++i) {
        h = s[i];
        hex += HEX_CHARS[(h >> 4) & 0x0F] + HEX_CHARS[h & 0x0F] +
               HEX_CHARS[(h >> 12) & 0x0F] + HEX_CHARS[(h >> 8) & 0x0F] +
               HEX_CHARS[(h >> 20) & 0x0F] + HEX_CHARS[(h >> 16) & 0x0F] +
               HEX_CHARS[(h >> 28) & 0x0F] + HEX_CHARS[(h >> 24) & 0x0F];
      }
    }
    return hex;
  };
  
  if(!root.JS_SHA3_TEST && NODE_JS) {
    module.exports = {
      sha3_512: sha3_512,
      sha3_384: sha3_384,
      sha3_256: sha3_256,
      sha3_224: sha3_224,
      keccak_512: keccak,
      keccak_384: keccak_384,
      keccak_256: keccak_256,
      keccak_224: keccak_224
    };
  } else if(root) {
    root.sha3_512 = sha3_512;
    root.sha3_384 = sha3_384;
    root.sha3_256 = sha3_256;
    root.sha3_224 = sha3_224;
    root.keccak_512 = keccak;
    root.keccak_384 = keccak_384;
    root.keccak_256 = keccak_256;
    root.keccak_224 = keccak_224;
  }
}(this));

}).call(this,typeof global !== "undefined" ? global : typeof self !== "undefined" ? self : typeof window !== "undefined" ? window : {})
},{}],35:[function(require,module,exports){
arguments[4][6][0].apply(exports,arguments)
},{"../package.json":59,"./elliptic/curve":38,"./elliptic/curves":41,"./elliptic/ec":42,"./elliptic/eddsa":45,"./elliptic/hmac-drbg":48,"./elliptic/utils":50,"brorand":51,"dup":6}],36:[function(require,module,exports){
arguments[4][7][0].apply(exports,arguments)
},{"../../elliptic":35,"bn.js":32,"dup":7}],37:[function(require,module,exports){
arguments[4][8][0].apply(exports,arguments)
},{"../../elliptic":35,"../curve":38,"bn.js":32,"dup":8,"inherits":58}],38:[function(require,module,exports){
arguments[4][9][0].apply(exports,arguments)
},{"./base":36,"./edwards":37,"./mont":39,"./short":40,"dup":9}],39:[function(require,module,exports){
arguments[4][10][0].apply(exports,arguments)
},{"../../elliptic":35,"../curve":38,"bn.js":32,"dup":10,"inherits":58}],40:[function(require,module,exports){
arguments[4][11][0].apply(exports,arguments)
},{"../../elliptic":35,"../curve":38,"bn.js":32,"dup":11,"inherits":58}],41:[function(require,module,exports){
arguments[4][12][0].apply(exports,arguments)
},{"../elliptic":35,"./precomputed/secp256k1":49,"dup":12,"hash.js":52}],42:[function(require,module,exports){
arguments[4][13][0].apply(exports,arguments)
},{"../../elliptic":35,"./key":43,"./signature":44,"bn.js":32,"dup":13}],43:[function(require,module,exports){
arguments[4][14][0].apply(exports,arguments)
},{"bn.js":32,"dup":14}],44:[function(require,module,exports){
arguments[4][15][0].apply(exports,arguments)
},{"../../elliptic":35,"bn.js":32,"dup":15}],45:[function(require,module,exports){
arguments[4][16][0].apply(exports,arguments)
},{"../../elliptic":35,"./key":46,"./signature":47,"dup":16,"hash.js":52}],46:[function(require,module,exports){
arguments[4][17][0].apply(exports,arguments)
},{"../../elliptic":35,"dup":17}],47:[function(require,module,exports){
arguments[4][18][0].apply(exports,arguments)
},{"../../elliptic":35,"bn.js":32,"dup":18}],48:[function(require,module,exports){
arguments[4][19][0].apply(exports,arguments)
},{"../elliptic":35,"dup":19,"hash.js":52}],49:[function(require,module,exports){
arguments[4][20][0].apply(exports,arguments)
},{"dup":20}],50:[function(require,module,exports){
arguments[4][21][0].apply(exports,arguments)
},{"bn.js":32,"dup":21}],51:[function(require,module,exports){
arguments[4][22][0].apply(exports,arguments)
},{"dup":22}],52:[function(require,module,exports){
arguments[4][23][0].apply(exports,arguments)
},{"./hash/common":53,"./hash/hmac":54,"./hash/ripemd":55,"./hash/sha":56,"./hash/utils":57,"dup":23}],53:[function(require,module,exports){
arguments[4][24][0].apply(exports,arguments)
},{"../hash":52,"dup":24}],54:[function(require,module,exports){
arguments[4][25][0].apply(exports,arguments)
},{"../hash":52,"dup":25}],55:[function(require,module,exports){
arguments[4][26][0].apply(exports,arguments)
},{"../hash":52,"dup":26}],56:[function(require,module,exports){
arguments[4][27][0].apply(exports,arguments)
},{"../hash":52,"dup":27}],57:[function(require,module,exports){
arguments[4][28][0].apply(exports,arguments)
},{"dup":28,"inherits":58}],58:[function(require,module,exports){
arguments[4][29][0].apply(exports,arguments)
},{"dup":29}],59:[function(require,module,exports){
arguments[4][30][0].apply(exports,arguments)
},{"dup":30}],60:[function(require,module,exports){
(function (Buffer){
const assert = require('assert')

/**
 * RLP Encoding based on: https://github.com/ethereum/wiki/wiki/%5BEnglish%5D-RLP
 * This function takes in a data, convert it to buffer if not, and a length for recursion
 *
 * @param {Buffer,String,Integer,Array} data - will be converted to buffer
 * @returns {Buffer} - returns buffer of encoded data
 **/
exports.encode = function (input) {
  if (input instanceof Array) {
    var output = []
    for (var i=0; i < input.length; i++) {
      output.push(exports.encode(input[i]))
    }
    var buf = Buffer.concat(output)
    return Buffer.concat([encodeLength(buf.length, 192), buf])
  } else {
    input = toBuffer(input)
    if (input.length === 1 && input[0] < 128)
      return input
    else
      return Buffer.concat([encodeLength(input.length, 128), input])
  }
}

function safeParseInt(v, base){
  if(v.slice(0, 2) === '00')
    throw('invalid RLP: extra zeros')

  return parseInt(v, base)
}

function encodeLength(len, offset) {
  if (len < 56) {
    return new Buffer([len + offset])
  } else {
    var hexLength = intToHex(len)
    var lLength = hexLength.length / 2
    var firstByte = intToHex(offset + 55 + lLength)
    return new Buffer(firstByte + hexLength, 'hex')
  }
}

/**
 * RLP Decoding based on: {@link https://github.com/ethereum/wiki/wiki/%5BEnglish%5D-RLP|RLP}
 *
 * @param {Buffer,String,Integer,Array} data - will be converted to buffer
 * @returns {Array} - returns decode Array of Buffers containg the original message
 **/
var decode = exports.decode = function (input) {
  if(!input || input.length === 0)
    return new Buffer([])

  input = toBuffer(input)
  var decoded = _decode(input)
  assert.equal(decoded.remainder.length, 0, 'invalid remainder')
  return decoded.data
}

function _decode (input) {
  var firstByte = input[0]
  if (firstByte <= 0x7f) {
    //a single byte whose value is in the [0x00, 0x7f] range, that byte is its own RLP encoding.
    return {
      data: input.slice(0, 1),
      remainder: input.slice(1)
    }
  } else if (firstByte <= 0xb7) {
    //string is 0-55 bytes long. A single byte with value 0x80 plus the length of the string followed by the string
    //The range of the first byte is [0x80, 0xb7]
    var length = firstByte - 0x7f,
      data

    //set 0x80 null to 0
    if (firstByte === 0x80) 
      data = new Buffer([])
    else 
      data = input.slice(1, length)

    if(length === 2 && data[0] < 0x80)
      throw 'invalid rlp encoding: byte must be less 0x80'

    return {
      data: data,
      remainder: input.slice(length)
    }
  } else if (firstByte <= 0xbf) {
    var llength = firstByte - 0xb6
    var length = safeParseInt(input.slice(1, llength).toString('hex'), 16)
    var data = input.slice(llength, length + llength)
    if(data.length < length) 
      throw(new Error('invalid RLP'))

    return {
      data: data,
      remainder: input.slice(length + llength)
    }
  } else if (firstByte <= 0xf7) {
    //a list between  0-55 bytes long
    var length = firstByte - 0xbf
    var remainder = input.slice(1)
    var innerRemainder = input.slice(1, length)
    var decoded = []
    while (innerRemainder.length) {
      var d = _decode(innerRemainder)
      decoded.push(d.data)
      innerRemainder = d.remainder
    }

    return {
      data: decoded,
      remainder: input.slice(length)
    }

  } else {
    //a list  over 55 bytes long
    var llength = firstByte - 0xf6
    var length = safeParseInt(input.slice(1, llength).toString('hex'), 16)
    var totalLength = llength + length
    if(totalLength > input.length)
      throw new Error('invalid rlp: total length is larger than the data')

    var remainder = input.slice(llength)
    var innerRemainder = input.slice(llength, totalLength)
    var decoded = []
    if(innerRemainder.length === 0)
      throw new Error('invalid rlp, List has a invalid length')

    while (innerRemainder.length) {
      var d = _decode(innerRemainder)
      decoded.push(d.data)
      innerRemainder = d.remainder
    }
    return {
      data: decoded,
      remainder: input.slice(totalLength)
    }
  }
}

function intToHex (i) {
  var hex = i.toString(16)
  if (hex.length % 2) 
    hex = '0' + hex
  
  return hex
}

function toBuffer (input) {
  if (Buffer.isBuffer(input)) {
    if (input.length === 0) 
      return toBuffer(null)
    else 
      return input
  } else if (input === null || input === 0 || input === undefined) {
    return new Buffer(0)
  } else if (!isNaN(input)) {
    var hex = intToHex(input)
    return new Buffer(hex, 'hex')
  } else if (!Buffer.isBuffer(input))
    return new Buffer(input.toString())
}

}).call(this,require("buffer").Buffer)
},{"assert":61,"buffer":62}],61:[function(require,module,exports){
// http://wiki.commonjs.org/wiki/Unit_Testing/1.0
//
// THIS IS NOT TESTED NOR LIKELY TO WORK OUTSIDE V8!
//
// Originally from narwhal.js (http://narwhaljs.org)
// Copyright (c) 2009 Thomas Robinson <280north.com>
//
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the 'Software'), to
// deal in the Software without restriction, including without limitation the
// rights to use, copy, modify, merge, publish, distribute, sublicense, and/or
// sell copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
//
// The above copyright notice and this permission notice shall be included in
// all copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED 'AS IS', WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN
// ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
// WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.

// when used in node, this will actually load the util module we depend on
// versus loading the builtin util module as happens otherwise
// this is a bug in node module loading as far as I am concerned
var util = require('util/');

var pSlice = Array.prototype.slice;
var hasOwn = Object.prototype.hasOwnProperty;

// 1. The assert module provides functions that throw
// AssertionError's when particular conditions are not met. The
// assert module must conform to the following interface.

var assert = module.exports = ok;

// 2. The AssertionError is defined in assert.
// new assert.AssertionError({ message: message,
//                             actual: actual,
//                             expected: expected })

assert.AssertionError = function AssertionError(options) {
  this.name = 'AssertionError';
  this.actual = options.actual;
  this.expected = options.expected;
  this.operator = options.operator;
  if (options.message) {
    this.message = options.message;
    this.generatedMessage = false;
  } else {
    this.message = getMessage(this);
    this.generatedMessage = true;
  }
  var stackStartFunction = options.stackStartFunction || fail;

  if (Error.captureStackTrace) {
    Error.captureStackTrace(this, stackStartFunction);
  }
  else {
    // non v8 browsers so we can have a stacktrace
    var err = new Error();
    if (err.stack) {
      var out = err.stack;

      // try to strip useless frames
      var fn_name = stackStartFunction.name;
      var idx = out.indexOf('\n' + fn_name);
      if (idx >= 0) {
        // once we have located the function frame
        // we need to strip out everything before it (and its line)
        var next_line = out.indexOf('\n', idx + 1);
        out = out.substring(next_line + 1);
      }

      this.stack = out;
    }
  }
};

// assert.AssertionError instanceof Error
util.inherits(assert.AssertionError, Error);

function replacer(key, value) {
  if (util.isUndefined(value)) {
    return '' + value;
  }
  if (util.isNumber(value) && !isFinite(value)) {
    return value.toString();
  }
  if (util.isFunction(value) || util.isRegExp(value)) {
    return value.toString();
  }
  return value;
}

function truncate(s, n) {
  if (util.isString(s)) {
    return s.length < n ? s : s.slice(0, n);
  } else {
    return s;
  }
}

function getMessage(self) {
  return truncate(JSON.stringify(self.actual, replacer), 128) + ' ' +
         self.operator + ' ' +
         truncate(JSON.stringify(self.expected, replacer), 128);
}

// At present only the three keys mentioned above are used and
// understood by the spec. Implementations or sub modules can pass
// other keys to the AssertionError's constructor - they will be
// ignored.

// 3. All of the following functions must throw an AssertionError
// when a corresponding condition is not met, with a message that
// may be undefined if not provided.  All assertion methods provide
// both the actual and expected values to the assertion error for
// display purposes.

function fail(actual, expected, message, operator, stackStartFunction) {
  throw new assert.AssertionError({
    message: message,
    actual: actual,
    expected: expected,
    operator: operator,
    stackStartFunction: stackStartFunction
  });
}

// EXTENSION! allows for well behaved errors defined elsewhere.
assert.fail = fail;

// 4. Pure assertion tests whether a value is truthy, as determined
// by !!guard.
// assert.ok(guard, message_opt);
// This statement is equivalent to assert.equal(true, !!guard,
// message_opt);. To test strictly for the value true, use
// assert.strictEqual(true, guard, message_opt);.

function ok(value, message) {
  if (!value) fail(value, true, message, '==', assert.ok);
}
assert.ok = ok;

// 5. The equality assertion tests shallow, coercive equality with
// ==.
// assert.equal(actual, expected, message_opt);

assert.equal = function equal(actual, expected, message) {
  if (actual != expected) fail(actual, expected, message, '==', assert.equal);
};

// 6. The non-equality assertion tests for whether two objects are not equal
// with != assert.notEqual(actual, expected, message_opt);

assert.notEqual = function notEqual(actual, expected, message) {
  if (actual == expected) {
    fail(actual, expected, message, '!=', assert.notEqual);
  }
};

// 7. The equivalence assertion tests a deep equality relation.
// assert.deepEqual(actual, expected, message_opt);

assert.deepEqual = function deepEqual(actual, expected, message) {
  if (!_deepEqual(actual, expected)) {
    fail(actual, expected, message, 'deepEqual', assert.deepEqual);
  }
};

function _deepEqual(actual, expected) {
  // 7.1. All identical values are equivalent, as determined by ===.
  if (actual === expected) {
    return true;

  } else if (util.isBuffer(actual) && util.isBuffer(expected)) {
    if (actual.length != expected.length) return false;

    for (var i = 0; i < actual.length; i++) {
      if (actual[i] !== expected[i]) return false;
    }

    return true;

  // 7.2. If the expected value is a Date object, the actual value is
  // equivalent if it is also a Date object that refers to the same time.
  } else if (util.isDate(actual) && util.isDate(expected)) {
    return actual.getTime() === expected.getTime();

  // 7.3 If the expected value is a RegExp object, the actual value is
  // equivalent if it is also a RegExp object with the same source and
  // properties (`global`, `multiline`, `lastIndex`, `ignoreCase`).
  } else if (util.isRegExp(actual) && util.isRegExp(expected)) {
    return actual.source === expected.source &&
           actual.global === expected.global &&
           actual.multiline === expected.multiline &&
           actual.lastIndex === expected.lastIndex &&
           actual.ignoreCase === expected.ignoreCase;

  // 7.4. Other pairs that do not both pass typeof value == 'object',
  // equivalence is determined by ==.
  } else if (!util.isObject(actual) && !util.isObject(expected)) {
    return actual == expected;

  // 7.5 For all other Object pairs, including Array objects, equivalence is
  // determined by having the same number of owned properties (as verified
  // with Object.prototype.hasOwnProperty.call), the same set of keys
  // (although not necessarily the same order), equivalent values for every
  // corresponding key, and an identical 'prototype' property. Note: this
  // accounts for both named and indexed properties on Arrays.
  } else {
    return objEquiv(actual, expected);
  }
}

function isArguments(object) {
  return Object.prototype.toString.call(object) == '[object Arguments]';
}

function objEquiv(a, b) {
  if (util.isNullOrUndefined(a) || util.isNullOrUndefined(b))
    return false;
  // an identical 'prototype' property.
  if (a.prototype !== b.prototype) return false;
  // if one is a primitive, the other must be same
  if (util.isPrimitive(a) || util.isPrimitive(b)) {
    return a === b;
  }
  var aIsArgs = isArguments(a),
      bIsArgs = isArguments(b);
  if ((aIsArgs && !bIsArgs) || (!aIsArgs && bIsArgs))
    return false;
  if (aIsArgs) {
    a = pSlice.call(a);
    b = pSlice.call(b);
    return _deepEqual(a, b);
  }
  var ka = objectKeys(a),
      kb = objectKeys(b),
      key, i;
  // having the same number of owned properties (keys incorporates
  // hasOwnProperty)
  if (ka.length != kb.length)
    return false;
  //the same set of keys (although not necessarily the same order),
  ka.sort();
  kb.sort();
  //~~~cheap key test
  for (i = ka.length - 1; i >= 0; i--) {
    if (ka[i] != kb[i])
      return false;
  }
  //equivalent values for every corresponding key, and
  //~~~possibly expensive deep test
  for (i = ka.length - 1; i >= 0; i--) {
    key = ka[i];
    if (!_deepEqual(a[key], b[key])) return false;
  }
  return true;
}

// 8. The non-equivalence assertion tests for any deep inequality.
// assert.notDeepEqual(actual, expected, message_opt);

assert.notDeepEqual = function notDeepEqual(actual, expected, message) {
  if (_deepEqual(actual, expected)) {
    fail(actual, expected, message, 'notDeepEqual', assert.notDeepEqual);
  }
};

// 9. The strict equality assertion tests strict equality, as determined by ===.
// assert.strictEqual(actual, expected, message_opt);

assert.strictEqual = function strictEqual(actual, expected, message) {
  if (actual !== expected) {
    fail(actual, expected, message, '===', assert.strictEqual);
  }
};

// 10. The strict non-equality assertion tests for strict inequality, as
// determined by !==.  assert.notStrictEqual(actual, expected, message_opt);

assert.notStrictEqual = function notStrictEqual(actual, expected, message) {
  if (actual === expected) {
    fail(actual, expected, message, '!==', assert.notStrictEqual);
  }
};

function expectedException(actual, expected) {
  if (!actual || !expected) {
    return false;
  }

  if (Object.prototype.toString.call(expected) == '[object RegExp]') {
    return expected.test(actual);
  } else if (actual instanceof expected) {
    return true;
  } else if (expected.call({}, actual) === true) {
    return true;
  }

  return false;
}

function _throws(shouldThrow, block, expected, message) {
  var actual;

  if (util.isString(expected)) {
    message = expected;
    expected = null;
  }

  try {
    block();
  } catch (e) {
    actual = e;
  }

  message = (expected && expected.name ? ' (' + expected.name + ').' : '.') +
            (message ? ' ' + message : '.');

  if (shouldThrow && !actual) {
    fail(actual, expected, 'Missing expected exception' + message);
  }

  if (!shouldThrow && expectedException(actual, expected)) {
    fail(actual, expected, 'Got unwanted exception' + message);
  }

  if ((shouldThrow && actual && expected &&
      !expectedException(actual, expected)) || (!shouldThrow && actual)) {
    throw actual;
  }
}

// 11. Expected to throw an error:
// assert.throws(block, Error_opt, message_opt);

assert.throws = function(block, /*optional*/error, /*optional*/message) {
  _throws.apply(this, [true].concat(pSlice.call(arguments)));
};

// EXTENSION! This is annoying to write outside this module.
assert.doesNotThrow = function(block, /*optional*/message) {
  _throws.apply(this, [false].concat(pSlice.call(arguments)));
};

assert.ifError = function(err) { if (err) {throw err;}};

var objectKeys = Object.keys || function (obj) {
  var keys = [];
  for (var key in obj) {
    if (hasOwn.call(obj, key)) keys.push(key);
  }
  return keys;
};

},{"util/":69}],62:[function(require,module,exports){
/*!
 * The buffer module from node.js, for the browser.
 *
 * @author   Feross Aboukhadijeh <feross@feross.org> <http://feross.org>
 * @license  MIT
 */

var base64 = require('base64-js')
var ieee754 = require('ieee754')
var isArray = require('is-array')

exports.Buffer = Buffer
exports.SlowBuffer = SlowBuffer
exports.INSPECT_MAX_BYTES = 50
Buffer.poolSize = 8192 // not used by this implementation

var rootParent = {}

/**
 * If `Buffer.TYPED_ARRAY_SUPPORT`:
 *   === true    Use Uint8Array implementation (fastest)
 *   === false   Use Object implementation (most compatible, even IE6)
 *
 * Browsers that support typed arrays are IE 10+, Firefox 4+, Chrome 7+, Safari 5.1+,
 * Opera 11.6+, iOS 4.2+.
 *
 * Note:
 *
 * - Implementation must support adding new properties to `Uint8Array` instances.
 *   Firefox 4-29 lacked support, fixed in Firefox 30+.
 *   See: https://bugzilla.mozilla.org/show_bug.cgi?id=695438.
 *
 *  - Chrome 9-10 is missing the `TypedArray.prototype.subarray` function.
 *
 *  - IE10 has a broken `TypedArray.prototype.subarray` function which returns arrays of
 *    incorrect length in some situations.
 *
 * We detect these buggy browsers and set `Buffer.TYPED_ARRAY_SUPPORT` to `false` so they will
 * get the Object implementation, which is slower but will work correctly.
 */
Buffer.TYPED_ARRAY_SUPPORT = (function () {
  function Foo () {}
  try {
    var buf = new ArrayBuffer(0)
    var arr = new Uint8Array(buf)
    arr.foo = function () { return 42 }
    arr.constructor = Foo
    return arr.foo() === 42 && // typed array instances can be augmented
        arr.constructor === Foo && // constructor can be set
        typeof arr.subarray === 'function' && // chrome 9-10 lack `subarray`
        new Uint8Array(1).subarray(1, 1).byteLength === 0 // ie10 has broken `subarray`
  } catch (e) {
    return false
  }
})()

function kMaxLength () {
  return Buffer.TYPED_ARRAY_SUPPORT
    ? 0x7fffffff
    : 0x3fffffff
}

/**
 * Class: Buffer
 * =============
 *
 * The Buffer constructor returns instances of `Uint8Array` that are augmented
 * with function properties for all the node `Buffer` API functions. We use
 * `Uint8Array` so that square bracket notation works as expected -- it returns
 * a single octet.
 *
 * By augmenting the instances, we can avoid modifying the `Uint8Array`
 * prototype.
 */
function Buffer (arg) {
  if (!(this instanceof Buffer)) {
    // Avoid going through an ArgumentsAdaptorTrampoline in the common case.
    if (arguments.length > 1) return new Buffer(arg, arguments[1])
    return new Buffer(arg)
  }

  this.length = 0
  this.parent = undefined

  // Common case.
  if (typeof arg === 'number') {
    return fromNumber(this, arg)
  }

  // Slightly less common case.
  if (typeof arg === 'string') {
    return fromString(this, arg, arguments.length > 1 ? arguments[1] : 'utf8')
  }

  // Unusual.
  return fromObject(this, arg)
}

function fromNumber (that, length) {
  that = allocate(that, length < 0 ? 0 : checked(length) | 0)
  if (!Buffer.TYPED_ARRAY_SUPPORT) {
    for (var i = 0; i < length; i++) {
      that[i] = 0
    }
  }
  return that
}

function fromString (that, string, encoding) {
  if (typeof encoding !== 'string' || encoding === '') encoding = 'utf8'

  // Assumption: byteLength() return value is always < kMaxLength.
  var length = byteLength(string, encoding) | 0
  that = allocate(that, length)

  that.write(string, encoding)
  return that
}

function fromObject (that, object) {
  if (Buffer.isBuffer(object)) return fromBuffer(that, object)

  if (isArray(object)) return fromArray(that, object)

  if (object == null) {
    throw new TypeError('must start with number, buffer, array or string')
  }

  if (typeof ArrayBuffer !== 'undefined' && object.buffer instanceof ArrayBuffer) {
    return fromTypedArray(that, object)
  }

  if (object.length) return fromArrayLike(that, object)

  return fromJsonObject(that, object)
}

function fromBuffer (that, buffer) {
  var length = checked(buffer.length) | 0
  that = allocate(that, length)
  buffer.copy(that, 0, 0, length)
  return that
}

function fromArray (that, array) {
  var length = checked(array.length) | 0
  that = allocate(that, length)
  for (var i = 0; i < length; i += 1) {
    that[i] = array[i] & 255
  }
  return that
}

// Duplicate of fromArray() to keep fromArray() monomorphic.
function fromTypedArray (that, array) {
  var length = checked(array.length) | 0
  that = allocate(that, length)
  // Truncating the elements is probably not what people expect from typed
  // arrays with BYTES_PER_ELEMENT > 1 but it's compatible with the behavior
  // of the old Buffer constructor.
  for (var i = 0; i < length; i += 1) {
    that[i] = array[i] & 255
  }
  return that
}

function fromArrayLike (that, array) {
  var length = checked(array.length) | 0
  that = allocate(that, length)
  for (var i = 0; i < length; i += 1) {
    that[i] = array[i] & 255
  }
  return that
}

// Deserialize { type: 'Buffer', data: [1,2,3,...] } into a Buffer object.
// Returns a zero-length buffer for inputs that don't conform to the spec.
function fromJsonObject (that, object) {
  var array
  var length = 0

  if (object.type === 'Buffer' && isArray(object.data)) {
    array = object.data
    length = checked(array.length) | 0
  }
  that = allocate(that, length)

  for (var i = 0; i < length; i += 1) {
    that[i] = array[i] & 255
  }
  return that
}

function allocate (that, length) {
  if (Buffer.TYPED_ARRAY_SUPPORT) {
    // Return an augmented `Uint8Array` instance, for best performance
    that = Buffer._augment(new Uint8Array(length))
  } else {
    // Fallback: Return an object instance of the Buffer class
    that.length = length
    that._isBuffer = true
  }

  var fromPool = length !== 0 && length <= Buffer.poolSize >>> 1
  if (fromPool) that.parent = rootParent

  return that
}

function checked (length) {
  // Note: cannot use `length < kMaxLength` here because that fails when
  // length is NaN (which is otherwise coerced to zero.)
  if (length >= kMaxLength()) {
    throw new RangeError('Attempt to allocate Buffer larger than maximum ' +
                         'size: 0x' + kMaxLength().toString(16) + ' bytes')
  }
  return length | 0
}

function SlowBuffer (subject, encoding) {
  if (!(this instanceof SlowBuffer)) return new SlowBuffer(subject, encoding)

  var buf = new Buffer(subject, encoding)
  delete buf.parent
  return buf
}

Buffer.isBuffer = function isBuffer (b) {
  return !!(b != null && b._isBuffer)
}

Buffer.compare = function compare (a, b) {
  if (!Buffer.isBuffer(a) || !Buffer.isBuffer(b)) {
    throw new TypeError('Arguments must be Buffers')
  }

  if (a === b) return 0

  var x = a.length
  var y = b.length

  var i = 0
  var len = Math.min(x, y)
  while (i < len) {
    if (a[i] !== b[i]) break

    ++i
  }

  if (i !== len) {
    x = a[i]
    y = b[i]
  }

  if (x < y) return -1
  if (y < x) return 1
  return 0
}

Buffer.isEncoding = function isEncoding (encoding) {
  switch (String(encoding).toLowerCase()) {
    case 'hex':
    case 'utf8':
    case 'utf-8':
    case 'ascii':
    case 'binary':
    case 'base64':
    case 'raw':
    case 'ucs2':
    case 'ucs-2':
    case 'utf16le':
    case 'utf-16le':
      return true
    default:
      return false
  }
}

Buffer.concat = function concat (list, length) {
  if (!isArray(list)) throw new TypeError('list argument must be an Array of Buffers.')

  if (list.length === 0) {
    return new Buffer(0)
  } else if (list.length === 1) {
    return list[0]
  }

  var i
  if (length === undefined) {
    length = 0
    for (i = 0; i < list.length; i++) {
      length += list[i].length
    }
  }

  var buf = new Buffer(length)
  var pos = 0
  for (i = 0; i < list.length; i++) {
    var item = list[i]
    item.copy(buf, pos)
    pos += item.length
  }
  return buf
}

function byteLength (string, encoding) {
  if (typeof string !== 'string') string = '' + string

  var len = string.length
  if (len === 0) return 0

  // Use a for loop to avoid recursion
  var loweredCase = false
  for (;;) {
    switch (encoding) {
      case 'ascii':
      case 'binary':
      // Deprecated
      case 'raw':
      case 'raws':
        return len
      case 'utf8':
      case 'utf-8':
        return utf8ToBytes(string).length
      case 'ucs2':
      case 'ucs-2':
      case 'utf16le':
      case 'utf-16le':
        return len * 2
      case 'hex':
        return len >>> 1
      case 'base64':
        return base64ToBytes(string).length
      default:
        if (loweredCase) return utf8ToBytes(string).length // assume utf8
        encoding = ('' + encoding).toLowerCase()
        loweredCase = true
    }
  }
}
Buffer.byteLength = byteLength

// pre-set for values that may exist in the future
Buffer.prototype.length = undefined
Buffer.prototype.parent = undefined

function slowToString (encoding, start, end) {
  var loweredCase = false

  start = start | 0
  end = end === undefined || end === Infinity ? this.length : end | 0

  if (!encoding) encoding = 'utf8'
  if (start < 0) start = 0
  if (end > this.length) end = this.length
  if (end <= start) return ''

  while (true) {
    switch (encoding) {
      case 'hex':
        return hexSlice(this, start, end)

      case 'utf8':
      case 'utf-8':
        return utf8Slice(this, start, end)

      case 'ascii':
        return asciiSlice(this, start, end)

      case 'binary':
        return binarySlice(this, start, end)

      case 'base64':
        return base64Slice(this, start, end)

      case 'ucs2':
      case 'ucs-2':
      case 'utf16le':
      case 'utf-16le':
        return utf16leSlice(this, start, end)

      default:
        if (loweredCase) throw new TypeError('Unknown encoding: ' + encoding)
        encoding = (encoding + '').toLowerCase()
        loweredCase = true
    }
  }
}

Buffer.prototype.toString = function toString () {
  var length = this.length | 0
  if (length === 0) return ''
  if (arguments.length === 0) return utf8Slice(this, 0, length)
  return slowToString.apply(this, arguments)
}

Buffer.prototype.equals = function equals (b) {
  if (!Buffer.isBuffer(b)) throw new TypeError('Argument must be a Buffer')
  if (this === b) return true
  return Buffer.compare(this, b) === 0
}

Buffer.prototype.inspect = function inspect () {
  var str = ''
  var max = exports.INSPECT_MAX_BYTES
  if (this.length > 0) {
    str = this.toString('hex', 0, max).match(/.{2}/g).join(' ')
    if (this.length > max) str += ' ... '
  }
  return '<Buffer ' + str + '>'
}

Buffer.prototype.compare = function compare (b) {
  if (!Buffer.isBuffer(b)) throw new TypeError('Argument must be a Buffer')
  if (this === b) return 0
  return Buffer.compare(this, b)
}

Buffer.prototype.indexOf = function indexOf (val, byteOffset) {
  if (byteOffset > 0x7fffffff) byteOffset = 0x7fffffff
  else if (byteOffset < -0x80000000) byteOffset = -0x80000000
  byteOffset >>= 0

  if (this.length === 0) return -1
  if (byteOffset >= this.length) return -1

  // Negative offsets start from the end of the buffer
  if (byteOffset < 0) byteOffset = Math.max(this.length + byteOffset, 0)

  if (typeof val === 'string') {
    if (val.length === 0) return -1 // special case: looking for empty string always fails
    return String.prototype.indexOf.call(this, val, byteOffset)
  }
  if (Buffer.isBuffer(val)) {
    return arrayIndexOf(this, val, byteOffset)
  }
  if (typeof val === 'number') {
    if (Buffer.TYPED_ARRAY_SUPPORT && Uint8Array.prototype.indexOf === 'function') {
      return Uint8Array.prototype.indexOf.call(this, val, byteOffset)
    }
    return arrayIndexOf(this, [ val ], byteOffset)
  }

  function arrayIndexOf (arr, val, byteOffset) {
    var foundIndex = -1
    for (var i = 0; byteOffset + i < arr.length; i++) {
      if (arr[byteOffset + i] === val[foundIndex === -1 ? 0 : i - foundIndex]) {
        if (foundIndex === -1) foundIndex = i
        if (i - foundIndex + 1 === val.length) return byteOffset + foundIndex
      } else {
        foundIndex = -1
      }
    }
    return -1
  }

  throw new TypeError('val must be string, number or Buffer')
}

// `get` will be removed in Node 0.13+
Buffer.prototype.get = function get (offset) {
  console.log('.get() is deprecated. Access using array indexes instead.')
  return this.readUInt8(offset)
}

// `set` will be removed in Node 0.13+
Buffer.prototype.set = function set (v, offset) {
  console.log('.set() is deprecated. Access using array indexes instead.')
  return this.writeUInt8(v, offset)
}

function hexWrite (buf, string, offset, length) {
  offset = Number(offset) || 0
  var remaining = buf.length - offset
  if (!length) {
    length = remaining
  } else {
    length = Number(length)
    if (length > remaining) {
      length = remaining
    }
  }

  // must be an even number of digits
  var strLen = string.length
  if (strLen % 2 !== 0) throw new Error('Invalid hex string')

  if (length > strLen / 2) {
    length = strLen / 2
  }
  for (var i = 0; i < length; i++) {
    var parsed = parseInt(string.substr(i * 2, 2), 16)
    if (isNaN(parsed)) throw new Error('Invalid hex string')
    buf[offset + i] = parsed
  }
  return i
}

function utf8Write (buf, string, offset, length) {
  return blitBuffer(utf8ToBytes(string, buf.length - offset), buf, offset, length)
}

function asciiWrite (buf, string, offset, length) {
  return blitBuffer(asciiToBytes(string), buf, offset, length)
}

function binaryWrite (buf, string, offset, length) {
  return asciiWrite(buf, string, offset, length)
}

function base64Write (buf, string, offset, length) {
  return blitBuffer(base64ToBytes(string), buf, offset, length)
}

function ucs2Write (buf, string, offset, length) {
  return blitBuffer(utf16leToBytes(string, buf.length - offset), buf, offset, length)
}

Buffer.prototype.write = function write (string, offset, length, encoding) {
  // Buffer#write(string)
  if (offset === undefined) {
    encoding = 'utf8'
    length = this.length
    offset = 0
  // Buffer#write(string, encoding)
  } else if (length === undefined && typeof offset === 'string') {
    encoding = offset
    length = this.length
    offset = 0
  // Buffer#write(string, offset[, length][, encoding])
  } else if (isFinite(offset)) {
    offset = offset | 0
    if (isFinite(length)) {
      length = length | 0
      if (encoding === undefined) encoding = 'utf8'
    } else {
      encoding = length
      length = undefined
    }
  // legacy write(string, encoding, offset, length) - remove in v0.13
  } else {
    var swap = encoding
    encoding = offset
    offset = length | 0
    length = swap
  }

  var remaining = this.length - offset
  if (length === undefined || length > remaining) length = remaining

  if ((string.length > 0 && (length < 0 || offset < 0)) || offset > this.length) {
    throw new RangeError('attempt to write outside buffer bounds')
  }

  if (!encoding) encoding = 'utf8'

  var loweredCase = false
  for (;;) {
    switch (encoding) {
      case 'hex':
        return hexWrite(this, string, offset, length)

      case 'utf8':
      case 'utf-8':
        return utf8Write(this, string, offset, length)

      case 'ascii':
        return asciiWrite(this, string, offset, length)

      case 'binary':
        return binaryWrite(this, string, offset, length)

      case 'base64':
        // Warning: maxLength not taken into account in base64Write
        return base64Write(this, string, offset, length)

      case 'ucs2':
      case 'ucs-2':
      case 'utf16le':
      case 'utf-16le':
        return ucs2Write(this, string, offset, length)

      default:
        if (loweredCase) throw new TypeError('Unknown encoding: ' + encoding)
        encoding = ('' + encoding).toLowerCase()
        loweredCase = true
    }
  }
}

Buffer.prototype.toJSON = function toJSON () {
  return {
    type: 'Buffer',
    data: Array.prototype.slice.call(this._arr || this, 0)
  }
}

function base64Slice (buf, start, end) {
  if (start === 0 && end === buf.length) {
    return base64.fromByteArray(buf)
  } else {
    return base64.fromByteArray(buf.slice(start, end))
  }
}

function utf8Slice (buf, start, end) {
  var res = ''
  var tmp = ''
  end = Math.min(buf.length, end)

  for (var i = start; i < end; i++) {
    if (buf[i] <= 0x7F) {
      res += decodeUtf8Char(tmp) + String.fromCharCode(buf[i])
      tmp = ''
    } else {
      tmp += '%' + buf[i].toString(16)
    }
  }

  return res + decodeUtf8Char(tmp)
}

function asciiSlice (buf, start, end) {
  var ret = ''
  end = Math.min(buf.length, end)

  for (var i = start; i < end; i++) {
    ret += String.fromCharCode(buf[i] & 0x7F)
  }
  return ret
}

function binarySlice (buf, start, end) {
  var ret = ''
  end = Math.min(buf.length, end)

  for (var i = start; i < end; i++) {
    ret += String.fromCharCode(buf[i])
  }
  return ret
}

function hexSlice (buf, start, end) {
  var len = buf.length

  if (!start || start < 0) start = 0
  if (!end || end < 0 || end > len) end = len

  var out = ''
  for (var i = start; i < end; i++) {
    out += toHex(buf[i])
  }
  return out
}

function utf16leSlice (buf, start, end) {
  var bytes = buf.slice(start, end)
  var res = ''
  for (var i = 0; i < bytes.length; i += 2) {
    res += String.fromCharCode(bytes[i] + bytes[i + 1] * 256)
  }
  return res
}

Buffer.prototype.slice = function slice (start, end) {
  var len = this.length
  start = ~~start
  end = end === undefined ? len : ~~end

  if (start < 0) {
    start += len
    if (start < 0) start = 0
  } else if (start > len) {
    start = len
  }

  if (end < 0) {
    end += len
    if (end < 0) end = 0
  } else if (end > len) {
    end = len
  }

  if (end < start) end = start

  var newBuf
  if (Buffer.TYPED_ARRAY_SUPPORT) {
    newBuf = Buffer._augment(this.subarray(start, end))
  } else {
    var sliceLen = end - start
    newBuf = new Buffer(sliceLen, undefined)
    for (var i = 0; i < sliceLen; i++) {
      newBuf[i] = this[i + start]
    }
  }

  if (newBuf.length) newBuf.parent = this.parent || this

  return newBuf
}

/*
 * Need to make sure that buffer isn't trying to write out of bounds.
 */
function checkOffset (offset, ext, length) {
  if ((offset % 1) !== 0 || offset < 0) throw new RangeError('offset is not uint')
  if (offset + ext > length) throw new RangeError('Trying to access beyond buffer length')
}

Buffer.prototype.readUIntLE = function readUIntLE (offset, byteLength, noAssert) {
  offset = offset | 0
  byteLength = byteLength | 0
  if (!noAssert) checkOffset(offset, byteLength, this.length)

  var val = this[offset]
  var mul = 1
  var i = 0
  while (++i < byteLength && (mul *= 0x100)) {
    val += this[offset + i] * mul
  }

  return val
}

Buffer.prototype.readUIntBE = function readUIntBE (offset, byteLength, noAssert) {
  offset = offset | 0
  byteLength = byteLength | 0
  if (!noAssert) {
    checkOffset(offset, byteLength, this.length)
  }

  var val = this[offset + --byteLength]
  var mul = 1
  while (byteLength > 0 && (mul *= 0x100)) {
    val += this[offset + --byteLength] * mul
  }

  return val
}

Buffer.prototype.readUInt8 = function readUInt8 (offset, noAssert) {
  if (!noAssert) checkOffset(offset, 1, this.length)
  return this[offset]
}

Buffer.prototype.readUInt16LE = function readUInt16LE (offset, noAssert) {
  if (!noAssert) checkOffset(offset, 2, this.length)
  return this[offset] | (this[offset + 1] << 8)
}

Buffer.prototype.readUInt16BE = function readUInt16BE (offset, noAssert) {
  if (!noAssert) checkOffset(offset, 2, this.length)
  return (this[offset] << 8) | this[offset + 1]
}

Buffer.prototype.readUInt32LE = function readUInt32LE (offset, noAssert) {
  if (!noAssert) checkOffset(offset, 4, this.length)

  return ((this[offset]) |
      (this[offset + 1] << 8) |
      (this[offset + 2] << 16)) +
      (this[offset + 3] * 0x1000000)
}

Buffer.prototype.readUInt32BE = function readUInt32BE (offset, noAssert) {
  if (!noAssert) checkOffset(offset, 4, this.length)

  return (this[offset] * 0x1000000) +
    ((this[offset + 1] << 16) |
    (this[offset + 2] << 8) |
    this[offset + 3])
}

Buffer.prototype.readIntLE = function readIntLE (offset, byteLength, noAssert) {
  offset = offset | 0
  byteLength = byteLength | 0
  if (!noAssert) checkOffset(offset, byteLength, this.length)

  var val = this[offset]
  var mul = 1
  var i = 0
  while (++i < byteLength && (mul *= 0x100)) {
    val += this[offset + i] * mul
  }
  mul *= 0x80

  if (val >= mul) val -= Math.pow(2, 8 * byteLength)

  return val
}

Buffer.prototype.readIntBE = function readIntBE (offset, byteLength, noAssert) {
  offset = offset | 0
  byteLength = byteLength | 0
  if (!noAssert) checkOffset(offset, byteLength, this.length)

  var i = byteLength
  var mul = 1
  var val = this[offset + --i]
  while (i > 0 && (mul *= 0x100)) {
    val += this[offset + --i] * mul
  }
  mul *= 0x80

  if (val >= mul) val -= Math.pow(2, 8 * byteLength)

  return val
}

Buffer.prototype.readInt8 = function readInt8 (offset, noAssert) {
  if (!noAssert) checkOffset(offset, 1, this.length)
  if (!(this[offset] & 0x80)) return (this[offset])
  return ((0xff - this[offset] + 1) * -1)
}

Buffer.prototype.readInt16LE = function readInt16LE (offset, noAssert) {
  if (!noAssert) checkOffset(offset, 2, this.length)
  var val = this[offset] | (this[offset + 1] << 8)
  return (val & 0x8000) ? val | 0xFFFF0000 : val
}

Buffer.prototype.readInt16BE = function readInt16BE (offset, noAssert) {
  if (!noAssert) checkOffset(offset, 2, this.length)
  var val = this[offset + 1] | (this[offset] << 8)
  return (val & 0x8000) ? val | 0xFFFF0000 : val
}

Buffer.prototype.readInt32LE = function readInt32LE (offset, noAssert) {
  if (!noAssert) checkOffset(offset, 4, this.length)

  return (this[offset]) |
    (this[offset + 1] << 8) |
    (this[offset + 2] << 16) |
    (this[offset + 3] << 24)
}

Buffer.prototype.readInt32BE = function readInt32BE (offset, noAssert) {
  if (!noAssert) checkOffset(offset, 4, this.length)

  return (this[offset] << 24) |
    (this[offset + 1] << 16) |
    (this[offset + 2] << 8) |
    (this[offset + 3])
}

Buffer.prototype.readFloatLE = function readFloatLE (offset, noAssert) {
  if (!noAssert) checkOffset(offset, 4, this.length)
  return ieee754.read(this, offset, true, 23, 4)
}

Buffer.prototype.readFloatBE = function readFloatBE (offset, noAssert) {
  if (!noAssert) checkOffset(offset, 4, this.length)
  return ieee754.read(this, offset, false, 23, 4)
}

Buffer.prototype.readDoubleLE = function readDoubleLE (offset, noAssert) {
  if (!noAssert) checkOffset(offset, 8, this.length)
  return ieee754.read(this, offset, true, 52, 8)
}

Buffer.prototype.readDoubleBE = function readDoubleBE (offset, noAssert) {
  if (!noAssert) checkOffset(offset, 8, this.length)
  return ieee754.read(this, offset, false, 52, 8)
}

function checkInt (buf, value, offset, ext, max, min) {
  if (!Buffer.isBuffer(buf)) throw new TypeError('buffer must be a Buffer instance')
  if (value > max || value < min) throw new RangeError('value is out of bounds')
  if (offset + ext > buf.length) throw new RangeError('index out of range')
}

Buffer.prototype.writeUIntLE = function writeUIntLE (value, offset, byteLength, noAssert) {
  value = +value
  offset = offset | 0
  byteLength = byteLength | 0
  if (!noAssert) checkInt(this, value, offset, byteLength, Math.pow(2, 8 * byteLength), 0)

  var mul = 1
  var i = 0
  this[offset] = value & 0xFF
  while (++i < byteLength && (mul *= 0x100)) {
    this[offset + i] = (value / mul) & 0xFF
  }

  return offset + byteLength
}

Buffer.prototype.writeUIntBE = function writeUIntBE (value, offset, byteLength, noAssert) {
  value = +value
  offset = offset | 0
  byteLength = byteLength | 0
  if (!noAssert) checkInt(this, value, offset, byteLength, Math.pow(2, 8 * byteLength), 0)

  var i = byteLength - 1
  var mul = 1
  this[offset + i] = value & 0xFF
  while (--i >= 0 && (mul *= 0x100)) {
    this[offset + i] = (value / mul) & 0xFF
  }

  return offset + byteLength
}

Buffer.prototype.writeUInt8 = function writeUInt8 (value, offset, noAssert) {
  value = +value
  offset = offset | 0
  if (!noAssert) checkInt(this, value, offset, 1, 0xff, 0)
  if (!Buffer.TYPED_ARRAY_SUPPORT) value = Math.floor(value)
  this[offset] = value
  return offset + 1
}

function objectWriteUInt16 (buf, value, offset, littleEndian) {
  if (value < 0) value = 0xffff + value + 1
  for (var i = 0, j = Math.min(buf.length - offset, 2); i < j; i++) {
    buf[offset + i] = (value & (0xff << (8 * (littleEndian ? i : 1 - i)))) >>>
      (littleEndian ? i : 1 - i) * 8
  }
}

Buffer.prototype.writeUInt16LE = function writeUInt16LE (value, offset, noAssert) {
  value = +value
  offset = offset | 0
  if (!noAssert) checkInt(this, value, offset, 2, 0xffff, 0)
  if (Buffer.TYPED_ARRAY_SUPPORT) {
    this[offset] = value
    this[offset + 1] = (value >>> 8)
  } else {
    objectWriteUInt16(this, value, offset, true)
  }
  return offset + 2
}

Buffer.prototype.writeUInt16BE = function writeUInt16BE (value, offset, noAssert) {
  value = +value
  offset = offset | 0
  if (!noAssert) checkInt(this, value, offset, 2, 0xffff, 0)
  if (Buffer.TYPED_ARRAY_SUPPORT) {
    this[offset] = (value >>> 8)
    this[offset + 1] = value
  } else {
    objectWriteUInt16(this, value, offset, false)
  }
  return offset + 2
}

function objectWriteUInt32 (buf, value, offset, littleEndian) {
  if (value < 0) value = 0xffffffff + value + 1
  for (var i = 0, j = Math.min(buf.length - offset, 4); i < j; i++) {
    buf[offset + i] = (value >>> (littleEndian ? i : 3 - i) * 8) & 0xff
  }
}

Buffer.prototype.writeUInt32LE = function writeUInt32LE (value, offset, noAssert) {
  value = +value
  offset = offset | 0
  if (!noAssert) checkInt(this, value, offset, 4, 0xffffffff, 0)
  if (Buffer.TYPED_ARRAY_SUPPORT) {
    this[offset + 3] = (value >>> 24)
    this[offset + 2] = (value >>> 16)
    this[offset + 1] = (value >>> 8)
    this[offset] = value
  } else {
    objectWriteUInt32(this, value, offset, true)
  }
  return offset + 4
}

Buffer.prototype.writeUInt32BE = function writeUInt32BE (value, offset, noAssert) {
  value = +value
  offset = offset | 0
  if (!noAssert) checkInt(this, value, offset, 4, 0xffffffff, 0)
  if (Buffer.TYPED_ARRAY_SUPPORT) {
    this[offset] = (value >>> 24)
    this[offset + 1] = (value >>> 16)
    this[offset + 2] = (value >>> 8)
    this[offset + 3] = value
  } else {
    objectWriteUInt32(this, value, offset, false)
  }
  return offset + 4
}

Buffer.prototype.writeIntLE = function writeIntLE (value, offset, byteLength, noAssert) {
  value = +value
  offset = offset | 0
  if (!noAssert) {
    var limit = Math.pow(2, 8 * byteLength - 1)

    checkInt(this, value, offset, byteLength, limit - 1, -limit)
  }

  var i = 0
  var mul = 1
  var sub = value < 0 ? 1 : 0
  this[offset] = value & 0xFF
  while (++i < byteLength && (mul *= 0x100)) {
    this[offset + i] = ((value / mul) >> 0) - sub & 0xFF
  }

  return offset + byteLength
}

Buffer.prototype.writeIntBE = function writeIntBE (value, offset, byteLength, noAssert) {
  value = +value
  offset = offset | 0
  if (!noAssert) {
    var limit = Math.pow(2, 8 * byteLength - 1)

    checkInt(this, value, offset, byteLength, limit - 1, -limit)
  }

  var i = byteLength - 1
  var mul = 1
  var sub = value < 0 ? 1 : 0
  this[offset + i] = value & 0xFF
  while (--i >= 0 && (mul *= 0x100)) {
    this[offset + i] = ((value / mul) >> 0) - sub & 0xFF
  }

  return offset + byteLength
}

Buffer.prototype.writeInt8 = function writeInt8 (value, offset, noAssert) {
  value = +value
  offset = offset | 0
  if (!noAssert) checkInt(this, value, offset, 1, 0x7f, -0x80)
  if (!Buffer.TYPED_ARRAY_SUPPORT) value = Math.floor(value)
  if (value < 0) value = 0xff + value + 1
  this[offset] = value
  return offset + 1
}

Buffer.prototype.writeInt16LE = function writeInt16LE (value, offset, noAssert) {
  value = +value
  offset = offset | 0
  if (!noAssert) checkInt(this, value, offset, 2, 0x7fff, -0x8000)
  if (Buffer.TYPED_ARRAY_SUPPORT) {
    this[offset] = value
    this[offset + 1] = (value >>> 8)
  } else {
    objectWriteUInt16(this, value, offset, true)
  }
  return offset + 2
}

Buffer.prototype.writeInt16BE = function writeInt16BE (value, offset, noAssert) {
  value = +value
  offset = offset | 0
  if (!noAssert) checkInt(this, value, offset, 2, 0x7fff, -0x8000)
  if (Buffer.TYPED_ARRAY_SUPPORT) {
    this[offset] = (value >>> 8)
    this[offset + 1] = value
  } else {
    objectWriteUInt16(this, value, offset, false)
  }
  return offset + 2
}

Buffer.prototype.writeInt32LE = function writeInt32LE (value, offset, noAssert) {
  value = +value
  offset = offset | 0
  if (!noAssert) checkInt(this, value, offset, 4, 0x7fffffff, -0x80000000)
  if (Buffer.TYPED_ARRAY_SUPPORT) {
    this[offset] = value
    this[offset + 1] = (value >>> 8)
    this[offset + 2] = (value >>> 16)
    this[offset + 3] = (value >>> 24)
  } else {
    objectWriteUInt32(this, value, offset, true)
  }
  return offset + 4
}

Buffer.prototype.writeInt32BE = function writeInt32BE (value, offset, noAssert) {
  value = +value
  offset = offset | 0
  if (!noAssert) checkInt(this, value, offset, 4, 0x7fffffff, -0x80000000)
  if (value < 0) value = 0xffffffff + value + 1
  if (Buffer.TYPED_ARRAY_SUPPORT) {
    this[offset] = (value >>> 24)
    this[offset + 1] = (value >>> 16)
    this[offset + 2] = (value >>> 8)
    this[offset + 3] = value
  } else {
    objectWriteUInt32(this, value, offset, false)
  }
  return offset + 4
}

function checkIEEE754 (buf, value, offset, ext, max, min) {
  if (value > max || value < min) throw new RangeError('value is out of bounds')
  if (offset + ext > buf.length) throw new RangeError('index out of range')
  if (offset < 0) throw new RangeError('index out of range')
}

function writeFloat (buf, value, offset, littleEndian, noAssert) {
  if (!noAssert) {
    checkIEEE754(buf, value, offset, 4, 3.4028234663852886e+38, -3.4028234663852886e+38)
  }
  ieee754.write(buf, value, offset, littleEndian, 23, 4)
  return offset + 4
}

Buffer.prototype.writeFloatLE = function writeFloatLE (value, offset, noAssert) {
  return writeFloat(this, value, offset, true, noAssert)
}

Buffer.prototype.writeFloatBE = function writeFloatBE (value, offset, noAssert) {
  return writeFloat(this, value, offset, false, noAssert)
}

function writeDouble (buf, value, offset, littleEndian, noAssert) {
  if (!noAssert) {
    checkIEEE754(buf, value, offset, 8, 1.7976931348623157E+308, -1.7976931348623157E+308)
  }
  ieee754.write(buf, value, offset, littleEndian, 52, 8)
  return offset + 8
}

Buffer.prototype.writeDoubleLE = function writeDoubleLE (value, offset, noAssert) {
  return writeDouble(this, value, offset, true, noAssert)
}

Buffer.prototype.writeDoubleBE = function writeDoubleBE (value, offset, noAssert) {
  return writeDouble(this, value, offset, false, noAssert)
}

// copy(targetBuffer, targetStart=0, sourceStart=0, sourceEnd=buffer.length)
Buffer.prototype.copy = function copy (target, targetStart, start, end) {
  if (!start) start = 0
  if (!end && end !== 0) end = this.length
  if (targetStart >= target.length) targetStart = target.length
  if (!targetStart) targetStart = 0
  if (end > 0 && end < start) end = start

  // Copy 0 bytes; we're done
  if (end === start) return 0
  if (target.length === 0 || this.length === 0) return 0

  // Fatal error conditions
  if (targetStart < 0) {
    throw new RangeError('targetStart out of bounds')
  }
  if (start < 0 || start >= this.length) throw new RangeError('sourceStart out of bounds')
  if (end < 0) throw new RangeError('sourceEnd out of bounds')

  // Are we oob?
  if (end > this.length) end = this.length
  if (target.length - targetStart < end - start) {
    end = target.length - targetStart + start
  }

  var len = end - start

  if (len < 1000 || !Buffer.TYPED_ARRAY_SUPPORT) {
    for (var i = 0; i < len; i++) {
      target[i + targetStart] = this[i + start]
    }
  } else {
    target._set(this.subarray(start, start + len), targetStart)
  }

  return len
}

// fill(value, start=0, end=buffer.length)
Buffer.prototype.fill = function fill (value, start, end) {
  if (!value) value = 0
  if (!start) start = 0
  if (!end) end = this.length

  if (end < start) throw new RangeError('end < start')

  // Fill 0 bytes; we're done
  if (end === start) return
  if (this.length === 0) return

  if (start < 0 || start >= this.length) throw new RangeError('start out of bounds')
  if (end < 0 || end > this.length) throw new RangeError('end out of bounds')

  var i
  if (typeof value === 'number') {
    for (i = start; i < end; i++) {
      this[i] = value
    }
  } else {
    var bytes = utf8ToBytes(value.toString())
    var len = bytes.length
    for (i = start; i < end; i++) {
      this[i] = bytes[i % len]
    }
  }

  return this
}

/**
 * Creates a new `ArrayBuffer` with the *copied* memory of the buffer instance.
 * Added in Node 0.12. Only available in browsers that support ArrayBuffer.
 */
Buffer.prototype.toArrayBuffer = function toArrayBuffer () {
  if (typeof Uint8Array !== 'undefined') {
    if (Buffer.TYPED_ARRAY_SUPPORT) {
      return (new Buffer(this)).buffer
    } else {
      var buf = new Uint8Array(this.length)
      for (var i = 0, len = buf.length; i < len; i += 1) {
        buf[i] = this[i]
      }
      return buf.buffer
    }
  } else {
    throw new TypeError('Buffer.toArrayBuffer not supported in this browser')
  }
}

// HELPER FUNCTIONS
// ================

var BP = Buffer.prototype

/**
 * Augment a Uint8Array *instance* (not the Uint8Array class!) with Buffer methods
 */
Buffer._augment = function _augment (arr) {
  arr.constructor = Buffer
  arr._isBuffer = true

  // save reference to original Uint8Array set method before overwriting
  arr._set = arr.set

  // deprecated, will be removed in node 0.13+
  arr.get = BP.get
  arr.set = BP.set

  arr.write = BP.write
  arr.toString = BP.toString
  arr.toLocaleString = BP.toString
  arr.toJSON = BP.toJSON
  arr.equals = BP.equals
  arr.compare = BP.compare
  arr.indexOf = BP.indexOf
  arr.copy = BP.copy
  arr.slice = BP.slice
  arr.readUIntLE = BP.readUIntLE
  arr.readUIntBE = BP.readUIntBE
  arr.readUInt8 = BP.readUInt8
  arr.readUInt16LE = BP.readUInt16LE
  arr.readUInt16BE = BP.readUInt16BE
  arr.readUInt32LE = BP.readUInt32LE
  arr.readUInt32BE = BP.readUInt32BE
  arr.readIntLE = BP.readIntLE
  arr.readIntBE = BP.readIntBE
  arr.readInt8 = BP.readInt8
  arr.readInt16LE = BP.readInt16LE
  arr.readInt16BE = BP.readInt16BE
  arr.readInt32LE = BP.readInt32LE
  arr.readInt32BE = BP.readInt32BE
  arr.readFloatLE = BP.readFloatLE
  arr.readFloatBE = BP.readFloatBE
  arr.readDoubleLE = BP.readDoubleLE
  arr.readDoubleBE = BP.readDoubleBE
  arr.writeUInt8 = BP.writeUInt8
  arr.writeUIntLE = BP.writeUIntLE
  arr.writeUIntBE = BP.writeUIntBE
  arr.writeUInt16LE = BP.writeUInt16LE
  arr.writeUInt16BE = BP.writeUInt16BE
  arr.writeUInt32LE = BP.writeUInt32LE
  arr.writeUInt32BE = BP.writeUInt32BE
  arr.writeIntLE = BP.writeIntLE
  arr.writeIntBE = BP.writeIntBE
  arr.writeInt8 = BP.writeInt8
  arr.writeInt16LE = BP.writeInt16LE
  arr.writeInt16BE = BP.writeInt16BE
  arr.writeInt32LE = BP.writeInt32LE
  arr.writeInt32BE = BP.writeInt32BE
  arr.writeFloatLE = BP.writeFloatLE
  arr.writeFloatBE = BP.writeFloatBE
  arr.writeDoubleLE = BP.writeDoubleLE
  arr.writeDoubleBE = BP.writeDoubleBE
  arr.fill = BP.fill
  arr.inspect = BP.inspect
  arr.toArrayBuffer = BP.toArrayBuffer

  return arr
}

var INVALID_BASE64_RE = /[^+\/0-9A-z\-]/g

function base64clean (str) {
  // Node strips out invalid characters like \n and \t from the string, base64-js does not
  str = stringtrim(str).replace(INVALID_BASE64_RE, '')
  // Node converts strings with length < 2 to ''
  if (str.length < 2) return ''
  // Node allows for non-padded base64 strings (missing trailing ===), base64-js does not
  while (str.length % 4 !== 0) {
    str = str + '='
  }
  return str
}

function stringtrim (str) {
  if (str.trim) return str.trim()
  return str.replace(/^\s+|\s+$/g, '')
}

function toHex (n) {
  if (n < 16) return '0' + n.toString(16)
  return n.toString(16)
}

function utf8ToBytes (string, units) {
  units = units || Infinity
  var codePoint
  var length = string.length
  var leadSurrogate = null
  var bytes = []
  var i = 0

  for (; i < length; i++) {
    codePoint = string.charCodeAt(i)

    // is surrogate component
    if (codePoint > 0xD7FF && codePoint < 0xE000) {
      // last char was a lead
      if (leadSurrogate) {
        // 2 leads in a row
        if (codePoint < 0xDC00) {
          if ((units -= 3) > -1) bytes.push(0xEF, 0xBF, 0xBD)
          leadSurrogate = codePoint
          continue
        } else {
          // valid surrogate pair
          codePoint = leadSurrogate - 0xD800 << 10 | codePoint - 0xDC00 | 0x10000
          leadSurrogate = null
        }
      } else {
        // no lead yet

        if (codePoint > 0xDBFF) {
          // unexpected trail
          if ((units -= 3) > -1) bytes.push(0xEF, 0xBF, 0xBD)
          continue
        } else if (i + 1 === length) {
          // unpaired lead
          if ((units -= 3) > -1) bytes.push(0xEF, 0xBF, 0xBD)
          continue
        } else {
          // valid lead
          leadSurrogate = codePoint
          continue
        }
      }
    } else if (leadSurrogate) {
      // valid bmp char, but last char was a lead
      if ((units -= 3) > -1) bytes.push(0xEF, 0xBF, 0xBD)
      leadSurrogate = null
    }

    // encode utf8
    if (codePoint < 0x80) {
      if ((units -= 1) < 0) break
      bytes.push(codePoint)
    } else if (codePoint < 0x800) {
      if ((units -= 2) < 0) break
      bytes.push(
        codePoint >> 0x6 | 0xC0,
        codePoint & 0x3F | 0x80
      )
    } else if (codePoint < 0x10000) {
      if ((units -= 3) < 0) break
      bytes.push(
        codePoint >> 0xC | 0xE0,
        codePoint >> 0x6 & 0x3F | 0x80,
        codePoint & 0x3F | 0x80
      )
    } else if (codePoint < 0x200000) {
      if ((units -= 4) < 0) break
      bytes.push(
        codePoint >> 0x12 | 0xF0,
        codePoint >> 0xC & 0x3F | 0x80,
        codePoint >> 0x6 & 0x3F | 0x80,
        codePoint & 0x3F | 0x80
      )
    } else {
      throw new Error('Invalid code point')
    }
  }

  return bytes
}

function asciiToBytes (str) {
  var byteArray = []
  for (var i = 0; i < str.length; i++) {
    // Node's code seems to be doing this and not & 0x7F..
    byteArray.push(str.charCodeAt(i) & 0xFF)
  }
  return byteArray
}

function utf16leToBytes (str, units) {
  var c, hi, lo
  var byteArray = []
  for (var i = 0; i < str.length; i++) {
    if ((units -= 2) < 0) break

    c = str.charCodeAt(i)
    hi = c >> 8
    lo = c % 256
    byteArray.push(lo)
    byteArray.push(hi)
  }

  return byteArray
}

function base64ToBytes (str) {
  return base64.toByteArray(base64clean(str))
}

function blitBuffer (src, dst, offset, length) {
  for (var i = 0; i < length; i++) {
    if ((i + offset >= dst.length) || (i >= src.length)) break
    dst[i + offset] = src[i]
  }
  return i
}

function decodeUtf8Char (str) {
  try {
    return decodeURIComponent(str)
  } catch (err) {
    return String.fromCharCode(0xFFFD) // UTF 8 invalid char
  }
}

},{"base64-js":63,"ieee754":64,"is-array":65}],63:[function(require,module,exports){
var lookup = 'ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/';

;(function (exports) {
	'use strict';

  var Arr = (typeof Uint8Array !== 'undefined')
    ? Uint8Array
    : Array

	var PLUS   = '+'.charCodeAt(0)
	var SLASH  = '/'.charCodeAt(0)
	var NUMBER = '0'.charCodeAt(0)
	var LOWER  = 'a'.charCodeAt(0)
	var UPPER  = 'A'.charCodeAt(0)
	var PLUS_URL_SAFE = '-'.charCodeAt(0)
	var SLASH_URL_SAFE = '_'.charCodeAt(0)

	function decode (elt) {
		var code = elt.charCodeAt(0)
		if (code === PLUS ||
		    code === PLUS_URL_SAFE)
			return 62 // '+'
		if (code === SLASH ||
		    code === SLASH_URL_SAFE)
			return 63 // '/'
		if (code < NUMBER)
			return -1 //no match
		if (code < NUMBER + 10)
			return code - NUMBER + 26 + 26
		if (code < UPPER + 26)
			return code - UPPER
		if (code < LOWER + 26)
			return code - LOWER + 26
	}

	function b64ToByteArray (b64) {
		var i, j, l, tmp, placeHolders, arr

		if (b64.length % 4 > 0) {
			throw new Error('Invalid string. Length must be a multiple of 4')
		}

		// the number of equal signs (place holders)
		// if there are two placeholders, than the two characters before it
		// represent one byte
		// if there is only one, then the three characters before it represent 2 bytes
		// this is just a cheap hack to not do indexOf twice
		var len = b64.length
		placeHolders = '=' === b64.charAt(len - 2) ? 2 : '=' === b64.charAt(len - 1) ? 1 : 0

		// base64 is 4/3 + up to two characters of the original data
		arr = new Arr(b64.length * 3 / 4 - placeHolders)

		// if there are placeholders, only get up to the last complete 4 chars
		l = placeHolders > 0 ? b64.length - 4 : b64.length

		var L = 0

		function push (v) {
			arr[L++] = v
		}

		for (i = 0, j = 0; i < l; i += 4, j += 3) {
			tmp = (decode(b64.charAt(i)) << 18) | (decode(b64.charAt(i + 1)) << 12) | (decode(b64.charAt(i + 2)) << 6) | decode(b64.charAt(i + 3))
			push((tmp & 0xFF0000) >> 16)
			push((tmp & 0xFF00) >> 8)
			push(tmp & 0xFF)
		}

		if (placeHolders === 2) {
			tmp = (decode(b64.charAt(i)) << 2) | (decode(b64.charAt(i + 1)) >> 4)
			push(tmp & 0xFF)
		} else if (placeHolders === 1) {
			tmp = (decode(b64.charAt(i)) << 10) | (decode(b64.charAt(i + 1)) << 4) | (decode(b64.charAt(i + 2)) >> 2)
			push((tmp >> 8) & 0xFF)
			push(tmp & 0xFF)
		}

		return arr
	}

	function uint8ToBase64 (uint8) {
		var i,
			extraBytes = uint8.length % 3, // if we have 1 byte left, pad 2 bytes
			output = "",
			temp, length

		function encode (num) {
			return lookup.charAt(num)
		}

		function tripletToBase64 (num) {
			return encode(num >> 18 & 0x3F) + encode(num >> 12 & 0x3F) + encode(num >> 6 & 0x3F) + encode(num & 0x3F)
		}

		// go through the array every three bytes, we'll deal with trailing stuff later
		for (i = 0, length = uint8.length - extraBytes; i < length; i += 3) {
			temp = (uint8[i] << 16) + (uint8[i + 1] << 8) + (uint8[i + 2])
			output += tripletToBase64(temp)
		}

		// pad the end with zeros, but make sure to not forget the extra bytes
		switch (extraBytes) {
			case 1:
				temp = uint8[uint8.length - 1]
				output += encode(temp >> 2)
				output += encode((temp << 4) & 0x3F)
				output += '=='
				break
			case 2:
				temp = (uint8[uint8.length - 2] << 8) + (uint8[uint8.length - 1])
				output += encode(temp >> 10)
				output += encode((temp >> 4) & 0x3F)
				output += encode((temp << 2) & 0x3F)
				output += '='
				break
		}

		return output
	}

	exports.toByteArray = b64ToByteArray
	exports.fromByteArray = uint8ToBase64
}(typeof exports === 'undefined' ? (this.base64js = {}) : exports))

},{}],64:[function(require,module,exports){
exports.read = function (buffer, offset, isLE, mLen, nBytes) {
  var e, m
  var eLen = nBytes * 8 - mLen - 1
  var eMax = (1 << eLen) - 1
  var eBias = eMax >> 1
  var nBits = -7
  var i = isLE ? (nBytes - 1) : 0
  var d = isLE ? -1 : 1
  var s = buffer[offset + i]

  i += d

  e = s & ((1 << (-nBits)) - 1)
  s >>= (-nBits)
  nBits += eLen
  for (; nBits > 0; e = e * 256 + buffer[offset + i], i += d, nBits -= 8) {}

  m = e & ((1 << (-nBits)) - 1)
  e >>= (-nBits)
  nBits += mLen
  for (; nBits > 0; m = m * 256 + buffer[offset + i], i += d, nBits -= 8) {}

  if (e === 0) {
    e = 1 - eBias
  } else if (e === eMax) {
    return m ? NaN : ((s ? -1 : 1) * Infinity)
  } else {
    m = m + Math.pow(2, mLen)
    e = e - eBias
  }
  return (s ? -1 : 1) * m * Math.pow(2, e - mLen)
}

exports.write = function (buffer, value, offset, isLE, mLen, nBytes) {
  var e, m, c
  var eLen = nBytes * 8 - mLen - 1
  var eMax = (1 << eLen) - 1
  var eBias = eMax >> 1
  var rt = (mLen === 23 ? Math.pow(2, -24) - Math.pow(2, -77) : 0)
  var i = isLE ? 0 : (nBytes - 1)
  var d = isLE ? 1 : -1
  var s = value < 0 || (value === 0 && 1 / value < 0) ? 1 : 0

  value = Math.abs(value)

  if (isNaN(value) || value === Infinity) {
    m = isNaN(value) ? 1 : 0
    e = eMax
  } else {
    e = Math.floor(Math.log(value) / Math.LN2)
    if (value * (c = Math.pow(2, -e)) < 1) {
      e--
      c *= 2
    }
    if (e + eBias >= 1) {
      value += rt / c
    } else {
      value += rt * Math.pow(2, 1 - eBias)
    }
    if (value * c >= 2) {
      e++
      c /= 2
    }

    if (e + eBias >= eMax) {
      m = 0
      e = eMax
    } else if (e + eBias >= 1) {
      m = (value * c - 1) * Math.pow(2, mLen)
      e = e + eBias
    } else {
      m = value * Math.pow(2, eBias - 1) * Math.pow(2, mLen)
      e = 0
    }
  }

  for (; mLen >= 8; buffer[offset + i] = m & 0xff, i += d, m /= 256, mLen -= 8) {}

  e = (e << mLen) | m
  eLen += mLen
  for (; eLen > 0; buffer[offset + i] = e & 0xff, i += d, e /= 256, eLen -= 8) {}

  buffer[offset + i - d] |= s * 128
}

},{}],65:[function(require,module,exports){

/**
 * isArray
 */

var isArray = Array.isArray;

/**
 * toString
 */

var str = Object.prototype.toString;

/**
 * Whether or not the given `val`
 * is an array.
 *
 * example:
 *
 *        isArray([]);
 *        // > true
 *        isArray(arguments);
 *        // > false
 *        isArray('');
 *        // > false
 *
 * @param {mixed} val
 * @return {bool}
 */

module.exports = isArray || function (val) {
  return !! val && '[object Array]' == str.call(val);
};

},{}],66:[function(require,module,exports){
arguments[4][29][0].apply(exports,arguments)
},{"dup":29}],67:[function(require,module,exports){
// shim for using process in browser

var process = module.exports = {};
var queue = [];
var draining = false;
var currentQueue;
var queueIndex = -1;

function cleanUpNextTick() {
    draining = false;
    if (currentQueue.length) {
        queue = currentQueue.concat(queue);
    } else {
        queueIndex = -1;
    }
    if (queue.length) {
        drainQueue();
    }
}

function drainQueue() {
    if (draining) {
        return;
    }
    var timeout = setTimeout(cleanUpNextTick);
    draining = true;

    var len = queue.length;
    while(len) {
        currentQueue = queue;
        queue = [];
        while (++queueIndex < len) {
            currentQueue[queueIndex].run();
        }
        queueIndex = -1;
        len = queue.length;
    }
    currentQueue = null;
    draining = false;
    clearTimeout(timeout);
}

process.nextTick = function (fun) {
    var args = new Array(arguments.length - 1);
    if (arguments.length > 1) {
        for (var i = 1; i < arguments.length; i++) {
            args[i - 1] = arguments[i];
        }
    }
    queue.push(new Item(fun, args));
    if (queue.length === 1 && !draining) {
        setTimeout(drainQueue, 0);
    }
};

// v8 likes predictible objects
function Item(fun, array) {
    this.fun = fun;
    this.array = array;
}
Item.prototype.run = function () {
    this.fun.apply(null, this.array);
};
process.title = 'browser';
process.browser = true;
process.env = {};
process.argv = [];
process.version = ''; // empty string to avoid regexp issues
process.versions = {};

function noop() {}

process.on = noop;
process.addListener = noop;
process.once = noop;
process.off = noop;
process.removeListener = noop;
process.removeAllListeners = noop;
process.emit = noop;

process.binding = function (name) {
    throw new Error('process.binding is not supported');
};

// TODO(shtylman)
process.cwd = function () { return '/' };
process.chdir = function (dir) {
    throw new Error('process.chdir is not supported');
};
process.umask = function() { return 0; };

},{}],68:[function(require,module,exports){
module.exports = function isBuffer(arg) {
  return arg && typeof arg === 'object'
    && typeof arg.copy === 'function'
    && typeof arg.fill === 'function'
    && typeof arg.readUInt8 === 'function';
}
},{}],69:[function(require,module,exports){
(function (process,global){
// Copyright Joyent, Inc. and other Node contributors.
//
// Permission is hereby granted, free of charge, to any person obtaining a
// copy of this software and associated documentation files (the
// "Software"), to deal in the Software without restriction, including
// without limitation the rights to use, copy, modify, merge, publish,
// distribute, sublicense, and/or sell copies of the Software, and to permit
// persons to whom the Software is furnished to do so, subject to the
// following conditions:
//
// The above copyright notice and this permission notice shall be included
// in all copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
// MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN
// NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM,
// DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR
// OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE
// USE OR OTHER DEALINGS IN THE SOFTWARE.

var formatRegExp = /%[sdj%]/g;
exports.format = function(f) {
  if (!isString(f)) {
    var objects = [];
    for (var i = 0; i < arguments.length; i++) {
      objects.push(inspect(arguments[i]));
    }
    return objects.join(' ');
  }

  var i = 1;
  var args = arguments;
  var len = args.length;
  var str = String(f).replace(formatRegExp, function(x) {
    if (x === '%%') return '%';
    if (i >= len) return x;
    switch (x) {
      case '%s': return String(args[i++]);
      case '%d': return Number(args[i++]);
      case '%j':
        try {
          return JSON.stringify(args[i++]);
        } catch (_) {
          return '[Circular]';
        }
      default:
        return x;
    }
  });
  for (var x = args[i]; i < len; x = args[++i]) {
    if (isNull(x) || !isObject(x)) {
      str += ' ' + x;
    } else {
      str += ' ' + inspect(x);
    }
  }
  return str;
};


// Mark that a method should not be used.
// Returns a modified function which warns once by default.
// If --no-deprecation is set, then it is a no-op.
exports.deprecate = function(fn, msg) {
  // Allow for deprecating things in the process of starting up.
  if (isUndefined(global.process)) {
    return function() {
      return exports.deprecate(fn, msg).apply(this, arguments);
    };
  }

  if (process.noDeprecation === true) {
    return fn;
  }

  var warned = false;
  function deprecated() {
    if (!warned) {
      if (process.throwDeprecation) {
        throw new Error(msg);
      } else if (process.traceDeprecation) {
        console.trace(msg);
      } else {
        console.error(msg);
      }
      warned = true;
    }
    return fn.apply(this, arguments);
  }

  return deprecated;
};


var debugs = {};
var debugEnviron;
exports.debuglog = function(set) {
  if (isUndefined(debugEnviron))
    debugEnviron = process.env.NODE_DEBUG || '';
  set = set.toUpperCase();
  if (!debugs[set]) {
    if (new RegExp('\\b' + set + '\\b', 'i').test(debugEnviron)) {
      var pid = process.pid;
      debugs[set] = function() {
        var msg = exports.format.apply(exports, arguments);
        console.error('%s %d: %s', set, pid, msg);
      };
    } else {
      debugs[set] = function() {};
    }
  }
  return debugs[set];
};


/**
 * Echos the value of a value. Trys to print the value out
 * in the best way possible given the different types.
 *
 * @param {Object} obj The object to print out.
 * @param {Object} opts Optional options object that alters the output.
 */
/* legacy: obj, showHidden, depth, colors*/
function inspect(obj, opts) {
  // default options
  var ctx = {
    seen: [],
    stylize: stylizeNoColor
  };
  // legacy...
  if (arguments.length >= 3) ctx.depth = arguments[2];
  if (arguments.length >= 4) ctx.colors = arguments[3];
  if (isBoolean(opts)) {
    // legacy...
    ctx.showHidden = opts;
  } else if (opts) {
    // got an "options" object
    exports._extend(ctx, opts);
  }
  // set default options
  if (isUndefined(ctx.showHidden)) ctx.showHidden = false;
  if (isUndefined(ctx.depth)) ctx.depth = 2;
  if (isUndefined(ctx.colors)) ctx.colors = false;
  if (isUndefined(ctx.customInspect)) ctx.customInspect = true;
  if (ctx.colors) ctx.stylize = stylizeWithColor;
  return formatValue(ctx, obj, ctx.depth);
}
exports.inspect = inspect;


// http://en.wikipedia.org/wiki/ANSI_escape_code#graphics
inspect.colors = {
  'bold' : [1, 22],
  'italic' : [3, 23],
  'underline' : [4, 24],
  'inverse' : [7, 27],
  'white' : [37, 39],
  'grey' : [90, 39],
  'black' : [30, 39],
  'blue' : [34, 39],
  'cyan' : [36, 39],
  'green' : [32, 39],
  'magenta' : [35, 39],
  'red' : [31, 39],
  'yellow' : [33, 39]
};

// Don't use 'blue' not visible on cmd.exe
inspect.styles = {
  'special': 'cyan',
  'number': 'yellow',
  'boolean': 'yellow',
  'undefined': 'grey',
  'null': 'bold',
  'string': 'green',
  'date': 'magenta',
  // "name": intentionally not styling
  'regexp': 'red'
};


function stylizeWithColor(str, styleType) {
  var style = inspect.styles[styleType];

  if (style) {
    return '\u001b[' + inspect.colors[style][0] + 'm' + str +
           '\u001b[' + inspect.colors[style][1] + 'm';
  } else {
    return str;
  }
}


function stylizeNoColor(str, styleType) {
  return str;
}


function arrayToHash(array) {
  var hash = {};

  array.forEach(function(val, idx) {
    hash[val] = true;
  });

  return hash;
}


function formatValue(ctx, value, recurseTimes) {
  // Provide a hook for user-specified inspect functions.
  // Check that value is an object with an inspect function on it
  if (ctx.customInspect &&
      value &&
      isFunction(value.inspect) &&
      // Filter out the util module, it's inspect function is special
      value.inspect !== exports.inspect &&
      // Also filter out any prototype objects using the circular check.
      !(value.constructor && value.constructor.prototype === value)) {
    var ret = value.inspect(recurseTimes, ctx);
    if (!isString(ret)) {
      ret = formatValue(ctx, ret, recurseTimes);
    }
    return ret;
  }

  // Primitive types cannot have properties
  var primitive = formatPrimitive(ctx, value);
  if (primitive) {
    return primitive;
  }

  // Look up the keys of the object.
  var keys = Object.keys(value);
  var visibleKeys = arrayToHash(keys);

  if (ctx.showHidden) {
    keys = Object.getOwnPropertyNames(value);
  }

  // IE doesn't make error fields non-enumerable
  // http://msdn.microsoft.com/en-us/library/ie/dww52sbt(v=vs.94).aspx
  if (isError(value)
      && (keys.indexOf('message') >= 0 || keys.indexOf('description') >= 0)) {
    return formatError(value);
  }

  // Some type of object without properties can be shortcutted.
  if (keys.length === 0) {
    if (isFunction(value)) {
      var name = value.name ? ': ' + value.name : '';
      return ctx.stylize('[Function' + name + ']', 'special');
    }
    if (isRegExp(value)) {
      return ctx.stylize(RegExp.prototype.toString.call(value), 'regexp');
    }
    if (isDate(value)) {
      return ctx.stylize(Date.prototype.toString.call(value), 'date');
    }
    if (isError(value)) {
      return formatError(value);
    }
  }

  var base = '', array = false, braces = ['{', '}'];

  // Make Array say that they are Array
  if (isArray(value)) {
    array = true;
    braces = ['[', ']'];
  }

  // Make functions say that they are functions
  if (isFunction(value)) {
    var n = value.name ? ': ' + value.name : '';
    base = ' [Function' + n + ']';
  }

  // Make RegExps say that they are RegExps
  if (isRegExp(value)) {
    base = ' ' + RegExp.prototype.toString.call(value);
  }

  // Make dates with properties first say the date
  if (isDate(value)) {
    base = ' ' + Date.prototype.toUTCString.call(value);
  }

  // Make error with message first say the error
  if (isError(value)) {
    base = ' ' + formatError(value);
  }

  if (keys.length === 0 && (!array || value.length == 0)) {
    return braces[0] + base + braces[1];
  }

  if (recurseTimes < 0) {
    if (isRegExp(value)) {
      return ctx.stylize(RegExp.prototype.toString.call(value), 'regexp');
    } else {
      return ctx.stylize('[Object]', 'special');
    }
  }

  ctx.seen.push(value);

  var output;
  if (array) {
    output = formatArray(ctx, value, recurseTimes, visibleKeys, keys);
  } else {
    output = keys.map(function(key) {
      return formatProperty(ctx, value, recurseTimes, visibleKeys, key, array);
    });
  }

  ctx.seen.pop();

  return reduceToSingleString(output, base, braces);
}


function formatPrimitive(ctx, value) {
  if (isUndefined(value))
    return ctx.stylize('undefined', 'undefined');
  if (isString(value)) {
    var simple = '\'' + JSON.stringify(value).replace(/^"|"$/g, '')
                                             .replace(/'/g, "\\'")
                                             .replace(/\\"/g, '"') + '\'';
    return ctx.stylize(simple, 'string');
  }
  if (isNumber(value))
    return ctx.stylize('' + value, 'number');
  if (isBoolean(value))
    return ctx.stylize('' + value, 'boolean');
  // For some reason typeof null is "object", so special case here.
  if (isNull(value))
    return ctx.stylize('null', 'null');
}


function formatError(value) {
  return '[' + Error.prototype.toString.call(value) + ']';
}


function formatArray(ctx, value, recurseTimes, visibleKeys, keys) {
  var output = [];
  for (var i = 0, l = value.length; i < l; ++i) {
    if (hasOwnProperty(value, String(i))) {
      output.push(formatProperty(ctx, value, recurseTimes, visibleKeys,
          String(i), true));
    } else {
      output.push('');
    }
  }
  keys.forEach(function(key) {
    if (!key.match(/^\d+$/)) {
      output.push(formatProperty(ctx, value, recurseTimes, visibleKeys,
          key, true));
    }
  });
  return output;
}


function formatProperty(ctx, value, recurseTimes, visibleKeys, key, array) {
  var name, str, desc;
  desc = Object.getOwnPropertyDescriptor(value, key) || { value: value[key] };
  if (desc.get) {
    if (desc.set) {
      str = ctx.stylize('[Getter/Setter]', 'special');
    } else {
      str = ctx.stylize('[Getter]', 'special');
    }
  } else {
    if (desc.set) {
      str = ctx.stylize('[Setter]', 'special');
    }
  }
  if (!hasOwnProperty(visibleKeys, key)) {
    name = '[' + key + ']';
  }
  if (!str) {
    if (ctx.seen.indexOf(desc.value) < 0) {
      if (isNull(recurseTimes)) {
        str = formatValue(ctx, desc.value, null);
      } else {
        str = formatValue(ctx, desc.value, recurseTimes - 1);
      }
      if (str.indexOf('\n') > -1) {
        if (array) {
          str = str.split('\n').map(function(line) {
            return '  ' + line;
          }).join('\n').substr(2);
        } else {
          str = '\n' + str.split('\n').map(function(line) {
            return '   ' + line;
          }).join('\n');
        }
      }
    } else {
      str = ctx.stylize('[Circular]', 'special');
    }
  }
  if (isUndefined(name)) {
    if (array && key.match(/^\d+$/)) {
      return str;
    }
    name = JSON.stringify('' + key);
    if (name.match(/^"([a-zA-Z_][a-zA-Z_0-9]*)"$/)) {
      name = name.substr(1, name.length - 2);
      name = ctx.stylize(name, 'name');
    } else {
      name = name.replace(/'/g, "\\'")
                 .replace(/\\"/g, '"')
                 .replace(/(^"|"$)/g, "'");
      name = ctx.stylize(name, 'string');
    }
  }

  return name + ': ' + str;
}


function reduceToSingleString(output, base, braces) {
  var numLinesEst = 0;
  var length = output.reduce(function(prev, cur) {
    numLinesEst++;
    if (cur.indexOf('\n') >= 0) numLinesEst++;
    return prev + cur.replace(/\u001b\[\d\d?m/g, '').length + 1;
  }, 0);

  if (length > 60) {
    return braces[0] +
           (base === '' ? '' : base + '\n ') +
           ' ' +
           output.join(',\n  ') +
           ' ' +
           braces[1];
  }

  return braces[0] + base + ' ' + output.join(', ') + ' ' + braces[1];
}


// NOTE: These type checking functions intentionally don't use `instanceof`
// because it is fragile and can be easily faked with `Object.create()`.
function isArray(ar) {
  return Array.isArray(ar);
}
exports.isArray = isArray;

function isBoolean(arg) {
  return typeof arg === 'boolean';
}
exports.isBoolean = isBoolean;

function isNull(arg) {
  return arg === null;
}
exports.isNull = isNull;

function isNullOrUndefined(arg) {
  return arg == null;
}
exports.isNullOrUndefined = isNullOrUndefined;

function isNumber(arg) {
  return typeof arg === 'number';
}
exports.isNumber = isNumber;

function isString(arg) {
  return typeof arg === 'string';
}
exports.isString = isString;

function isSymbol(arg) {
  return typeof arg === 'symbol';
}
exports.isSymbol = isSymbol;

function isUndefined(arg) {
  return arg === void 0;
}
exports.isUndefined = isUndefined;

function isRegExp(re) {
  return isObject(re) && objectToString(re) === '[object RegExp]';
}
exports.isRegExp = isRegExp;

function isObject(arg) {
  return typeof arg === 'object' && arg !== null;
}
exports.isObject = isObject;

function isDate(d) {
  return isObject(d) && objectToString(d) === '[object Date]';
}
exports.isDate = isDate;

function isError(e) {
  return isObject(e) &&
      (objectToString(e) === '[object Error]' || e instanceof Error);
}
exports.isError = isError;

function isFunction(arg) {
  return typeof arg === 'function';
}
exports.isFunction = isFunction;

function isPrimitive(arg) {
  return arg === null ||
         typeof arg === 'boolean' ||
         typeof arg === 'number' ||
         typeof arg === 'string' ||
         typeof arg === 'symbol' ||  // ES6 symbol
         typeof arg === 'undefined';
}
exports.isPrimitive = isPrimitive;

exports.isBuffer = require('./support/isBuffer');

function objectToString(o) {
  return Object.prototype.toString.call(o);
}


function pad(n) {
  return n < 10 ? '0' + n.toString(10) : n.toString(10);
}


var months = ['Jan', 'Feb', 'Mar', 'Apr', 'May', 'Jun', 'Jul', 'Aug', 'Sep',
              'Oct', 'Nov', 'Dec'];

// 26 Feb 16:19:34
function timestamp() {
  var d = new Date();
  var time = [pad(d.getHours()),
              pad(d.getMinutes()),
              pad(d.getSeconds())].join(':');
  return [d.getDate(), months[d.getMonth()], time].join(' ');
}


// log is just a thin wrapper to console.log that prepends a timestamp
exports.log = function() {
  console.log('%s - %s', timestamp(), exports.format.apply(exports, arguments));
};


/**
 * Inherit the prototype methods from one constructor into another.
 *
 * The Function.prototype.inherits from lang.js rewritten as a standalone
 * function (not on Function.prototype). NOTE: If this file is to be loaded
 * during bootstrapping this function needs to be rewritten using some native
 * functions as prototype setup using normal JavaScript does not work as
 * expected during bootstrapping (see mirror.js in r114903).
 *
 * @param {function} ctor Constructor function which needs to inherit the
 *     prototype.
 * @param {function} superCtor Constructor function to inherit prototype from.
 */
exports.inherits = require('inherits');

exports._extend = function(origin, add) {
  // Don't do anything if add isn't an object
  if (!add || !isObject(add)) return origin;

  var keys = Object.keys(add);
  var i = keys.length;
  while (i--) {
    origin[keys[i]] = add[keys[i]];
  }
  return origin;
};

function hasOwnProperty(obj, prop) {
  return Object.prototype.hasOwnProperty.call(obj, prop);
}

}).call(this,require('_process'),typeof global !== "undefined" ? global : typeof self !== "undefined" ? self : typeof window !== "undefined" ? window : {})
},{"./support/isBuffer":68,"_process":67,"inherits":66}]},{},[1])(1)
});