(function (global, factory) {
    typeof exports === 'object' && typeof module !== 'undefined' ? factory(exports) :
    typeof define === 'function' && define.amd ? define(['exports'], factory) :
    (global = typeof globalThis !== 'undefined' ? globalThis : global || self, factory(global.polkadotUtil = {}));
})(this, (function (exports) { 'use strict';

    const global = typeof globalThis !== "undefined" ? globalThis : typeof self !== "undefined" ? self : window;

    var _documentCurrentScript = typeof document !== 'undefined' ? document.currentScript : null;
    const packageInfo$3 = { name: '@polkadot/util', path: (({ url: (typeof document === 'undefined' && typeof location === 'undefined' ? require('u' + 'rl').pathToFileURL(__filename).href : typeof document === 'undefined' ? location.href : (_documentCurrentScript && _documentCurrentScript.src || new URL('bundle-polkadot-util.js', document.baseURI).href)) }) && (typeof document === 'undefined' && typeof location === 'undefined' ? require('u' + 'rl').pathToFileURL(__filename).href : typeof document === 'undefined' ? location.href : (_documentCurrentScript && _documentCurrentScript.src || new URL('bundle-polkadot-util.js', document.baseURI).href))) ? new URL((typeof document === 'undefined' && typeof location === 'undefined' ? require('u' + 'rl').pathToFileURL(__filename).href : typeof document === 'undefined' ? location.href : (_documentCurrentScript && _documentCurrentScript.src || new URL('bundle-polkadot-util.js', document.baseURI).href))).pathname.substring(0, new URL((typeof document === 'undefined' && typeof location === 'undefined' ? require('u' + 'rl').pathToFileURL(__filename).href : typeof document === 'undefined' ? location.href : (_documentCurrentScript && _documentCurrentScript.src || new URL('bundle-polkadot-util.js', document.baseURI).href))).pathname.lastIndexOf('/') + 1) : 'auto', type: 'esm', version: '12.6.1' };

    function arrayChunk(array, chunkSize) {
        const outputSize = Math.ceil(array.length / chunkSize);
        if (outputSize === 1) {
            return [array];
        }
        const output = Array(outputSize);
        for (let i = 0; i < outputSize; i++) {
            const offset = i * chunkSize;
            output[i] = array.slice(offset, offset + chunkSize);
        }
        return output;
    }

    function arrayFilter(array, allowNulls = true) {
        return array.filter((v) => v !== undefined &&
            (allowNulls || v !== null));
    }

    function arrayFlatten(arrays) {
        const num = arrays.length;
        if (num === 0) {
            return [];
        }
        else if (num === 1) {
            return arrays[0];
        }
        let size = 0;
        for (let i = 0; i < num; i++) {
            size += arrays[i].length;
        }
        const output = new Array(size);
        let i = -1;
        for (let j = 0; j < num; j++) {
            const a = arrays[j];
            for (let e = 0, count = a.length; e < count; e++) {
                output[++i] = a[e];
            }
        }
        return output;
    }

    function arrayRange(size, startAt = 0) {
        if (size <= 0) {
            throw new Error('Expected non-zero, positive number as a range size');
        }
        const result = new Array(size);
        for (let i = 0; i < size; i++) {
            result[i] = i + startAt;
        }
        return result;
    }

    function arrayShuffle(input) {
        const result = input.slice();
        let curr = result.length;
        if (curr === 1) {
            return result;
        }
        while (curr !== 0) {
            const rand = ~~(Math.random() * curr);
            curr--;
            [result[curr], result[rand]] = [result[rand], result[curr]];
        }
        return result;
    }

    function arrayUnzip(entries) {
        const count = entries.length;
        const keys = new Array(count);
        const values = new Array(count);
        for (let i = 0; i < count; i++) {
            [keys[i], values[i]] = entries[i];
        }
        return [keys, values];
    }

    function arrayZip(keys, values) {
        const count = keys.length;
        const result = new Array(count);
        for (let i = 0; i < count; i++) {
            result[i] = [keys[i], values[i]];
        }
        return result;
    }

    function isFunction(value) {
        return typeof value === 'function';
    }

    function assert(condition, message) {
        if (!condition) {
            throw new Error(isFunction(message)
                ? message()
                : message);
        }
    }
    function assertReturn(value, message) {
        assert(value !== undefined && value !== null, message);
        return value;
    }
    function assertUnreachable(x) {
        throw new Error(`This codepath should be unreachable. Unhandled input: ${x}`);
    }

    function createCmp(cmp) {
        return (...items) => {
            const count = items.length;
            if (count === 0) {
                throw new Error('Must provide one or more arguments');
            }
            let result = items[0];
            for (let i = 1; i < count; i++) {
                if (cmp(items[i], result)) {
                    result = items[i];
                }
            }
            return result;
        };
    }

    const nMax =  createCmp((a, b) => a > b);
    const nMin =  createCmp((a, b) => a < b);

    const packageInfo$2 = { name: '@polkadot/x-global', path: (({ url: (typeof document === 'undefined' && typeof location === 'undefined' ? require('u' + 'rl').pathToFileURL(__filename).href : typeof document === 'undefined' ? location.href : (_documentCurrentScript && _documentCurrentScript.src || new URL('bundle-polkadot-util.js', document.baseURI).href)) }) && (typeof document === 'undefined' && typeof location === 'undefined' ? require('u' + 'rl').pathToFileURL(__filename).href : typeof document === 'undefined' ? location.href : (_documentCurrentScript && _documentCurrentScript.src || new URL('bundle-polkadot-util.js', document.baseURI).href))) ? new URL((typeof document === 'undefined' && typeof location === 'undefined' ? require('u' + 'rl').pathToFileURL(__filename).href : typeof document === 'undefined' ? location.href : (_documentCurrentScript && _documentCurrentScript.src || new URL('bundle-polkadot-util.js', document.baseURI).href))).pathname.substring(0, new URL((typeof document === 'undefined' && typeof location === 'undefined' ? require('u' + 'rl').pathToFileURL(__filename).href : typeof document === 'undefined' ? location.href : (_documentCurrentScript && _documentCurrentScript.src || new URL('bundle-polkadot-util.js', document.baseURI).href))).pathname.lastIndexOf('/') + 1) : 'auto', type: 'esm', version: '12.6.1' };

    function evaluateThis(fn) {
        return fn('return this');
    }
    const xglobal =  (typeof globalThis !== 'undefined'
        ? globalThis
        : typeof global !== 'undefined'
            ? global
            : typeof self !== 'undefined'
                ? self
                : typeof window !== 'undefined'
                    ? window
                    : evaluateThis(Function));
    function extractGlobal(name, fallback) {
        return typeof xglobal[name] === 'undefined'
            ? fallback
            : xglobal[name];
    }
    function exposeGlobal(name, fallback) {
        if (typeof xglobal[name] === 'undefined') {
            xglobal[name] = fallback;
        }
    }

    const build = /*#__PURE__*/Object.freeze({
        __proto__: null,
        exposeGlobal: exposeGlobal,
        extractGlobal: extractGlobal,
        packageInfo: packageInfo$2,
        xglobal: xglobal
    });

    function invalidFallback() {
        return Number.NaN;
    }
    const BigInt =  extractGlobal('BigInt', invalidFallback);

    const _0n =  BigInt(0);
    const _1n =  BigInt(1);
    const _2n =  BigInt(2);
    const _3n =  BigInt(3);
    const _4n =  BigInt(4);
    const _5n =  BigInt(5);
    const _6n =  BigInt(6);
    const _7n =  BigInt(7);
    const _8n =  BigInt(8);
    const _9n =  BigInt(9);
    const _10n =  BigInt(10);
    const _100n =  BigInt(100);
    const _1000n =  BigInt(1000);
    const _1Mn =  BigInt(1000000);
    const _1Bn =  BigInt(1000000000);
    const _1Qn = _1Bn * _1Bn;
    const _2pow53n =  BigInt(Number.MAX_SAFE_INTEGER);
    const _sqrt2pow53n =  BigInt(94906265);

    const U8_MAX = BigInt(256);
    const U16_MAX = BigInt(256 * 256);
    const U64_MAX = BigInt('0x10000000000000000');
    function u8aToBigInt(value, { isLe = true, isNegative = false } = {}) {
        if (!isLe) {
            value = value.slice().reverse();
        }
        const count = value.length;
        if (isNegative && count && (value[count - 1] & 0x80)) {
            switch (count) {
                case 0:
                    return BigInt(0);
                case 1:
                    return BigInt(((value[0] ^ 255) * -1) - 1);
                case 2:
                    return BigInt((((value[0] + (value[1] << 8)) ^ 65535) * -1) - 1);
                case 4:
                    return BigInt((((value[0] + (value[1] << 8) + (value[2] << 16) + (value[3] * 16777216)) ^ 4294967295) * -1) - 1);
            }
            const dvI = new DataView(value.buffer, value.byteOffset);
            if (count === 8) {
                return dvI.getBigInt64(0, true);
            }
            let result = BigInt(0);
            const mod = count % 2;
            for (let i = count - 2; i >= mod; i -= 2) {
                result = (result * U16_MAX) + BigInt(dvI.getUint16(i, true) ^ 0xffff);
            }
            if (mod) {
                result = (result * U8_MAX) + BigInt(value[0] ^ 0xff);
            }
            return (result * -_1n) - _1n;
        }
        switch (count) {
            case 0:
                return BigInt(0);
            case 1:
                return BigInt(value[0]);
            case 2:
                return BigInt(value[0] + (value[1] << 8));
            case 4:
                return BigInt(value[0] + (value[1] << 8) + (value[2] << 16) + (value[3] * 16777216));
        }
        const dvI = new DataView(value.buffer, value.byteOffset);
        switch (count) {
            case 8:
                return dvI.getBigUint64(0, true);
            case 16:
                return (dvI.getBigUint64(8, true) * U64_MAX) + dvI.getBigUint64(0, true);
            default: {
                let result = BigInt(0);
                const mod = count % 2;
                for (let i = count - 2; i >= mod; i -= 2) {
                    result = (result * U16_MAX) + BigInt(dvI.getUint16(i, true));
                }
                if (mod) {
                    result = (result * U8_MAX) + BigInt(value[0]);
                }
                return result;
            }
        }
    }

    const CHR = '0123456789abcdef';
    const U8$1 = new Uint8Array(256);
    const U16$1 = new Uint8Array(256 * 256);
    for (let i = 0, count = CHR.length; i < count; i++) {
        U8$1[CHR[i].charCodeAt(0) | 0] = i | 0;
        if (i > 9) {
            U8$1[CHR[i].toUpperCase().charCodeAt(0) | 0] = i | 0;
        }
    }
    for (let i = 0; i < 256; i++) {
        const s = i << 8;
        for (let j = 0; j < 256; j++) {
            U16$1[s | j] = (U8$1[i] << 4) | U8$1[j];
        }
    }
    function hexToU8a(value, bitLength = -1) {
        if (!value) {
            return new Uint8Array();
        }
        let s = value.startsWith('0x')
            ? 2
            : 0;
        const decLength = Math.ceil((value.length - s) / 2);
        const endLength = Math.ceil(bitLength === -1
            ? decLength
            : bitLength / 8);
        const result = new Uint8Array(endLength);
        const offset = endLength > decLength
            ? endLength - decLength
            : 0;
        for (let i = offset; i < endLength; i++, s += 2) {
            result[i] = U16$1[(value.charCodeAt(s) << 8) | value.charCodeAt(s + 1)];
        }
        return result;
    }

    function hexToBigInt(value, { isLe = false, isNegative = false } = {}) {
        return !value || value === '0x'
            ? BigInt(0)
            : u8aToBigInt(hexToU8a(value), { isLe, isNegative });
    }

    var commonjsGlobal = typeof globalThis !== 'undefined' ? globalThis : typeof window !== 'undefined' ? window : typeof global !== 'undefined' ? global : typeof self !== 'undefined' ? self : {};

    function getDefaultExportFromCjs (x) {
    	return x && x.__esModule && Object.prototype.hasOwnProperty.call(x, 'default') ? x['default'] : x;
    }

    function getAugmentedNamespace(n) {
      if (n.__esModule) return n;
      var f = n.default;
    	if (typeof f == "function") {
    		var a = function a () {
    			if (this instanceof a) {
            return Reflect.construct(f, arguments, this.constructor);
    			}
    			return f.apply(this, arguments);
    		};
    		a.prototype = f.prototype;
      } else a = {};
      Object.defineProperty(a, '__esModule', {value: true});
    	Object.keys(n).forEach(function (k) {
    		var d = Object.getOwnPropertyDescriptor(n, k);
    		Object.defineProperty(a, k, d.get ? d : {
    			enumerable: true,
    			get: function () {
    				return n[k];
    			}
    		});
    	});
    	return a;
    }

    var bn = {exports: {}};

    const _nodeResolve_empty = {};

    const _nodeResolve_empty$1 = /*#__PURE__*/Object.freeze({
        __proto__: null,
        default: _nodeResolve_empty
    });

    const require$$0$1 = /*@__PURE__*/getAugmentedNamespace(_nodeResolve_empty$1);

    bn.exports;
    (function (module) {
    	(function (module, exports) {
    	  function assert (val, msg) {
    	    if (!val) throw new Error(msg || 'Assertion failed');
    	  }
    	  function inherits (ctor, superCtor) {
    	    ctor.super_ = superCtor;
    	    var TempCtor = function () {};
    	    TempCtor.prototype = superCtor.prototype;
    	    ctor.prototype = new TempCtor();
    	    ctor.prototype.constructor = ctor;
    	  }
    	  function BN (number, base, endian) {
    	    if (BN.isBN(number)) {
    	      return number;
    	    }
    	    this.negative = 0;
    	    this.words = null;
    	    this.length = 0;
    	    this.red = null;
    	    if (number !== null) {
    	      if (base === 'le' || base === 'be') {
    	        endian = base;
    	        base = 10;
    	      }
    	      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;
    	  var Buffer;
    	  try {
    	    if (typeof window !== 'undefined' && typeof window.Buffer !== 'undefined') {
    	      Buffer = window.Buffer;
    	    } else {
    	      Buffer = require$$0$1.Buffer;
    	    }
    	  } catch (e) {
    	  }
    	  BN.isBN = function isBN (num) {
    	    if (num instanceof BN) {
    	      return true;
    	    }
    	    return num !== null && typeof num === 'object' &&
    	      num.constructor.wordSize === BN.wordSize && Array.isArray(num.words);
    	  };
    	  BN.max = function max (left, right) {
    	    if (left.cmp(right) > 0) return left;
    	    return right;
    	  };
    	  BN.min = function min (left, right) {
    	    if (left.cmp(right) < 0) return left;
    	    return right;
    	  };
    	  BN.prototype._init = function init (number, base, endian) {
    	    if (typeof number === 'number') {
    	      return this._initNumber(number, base, endian);
    	    }
    	    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++;
    	      this.negative = 1;
    	    }
    	    if (start < number.length) {
    	      if (base === 16) {
    	        this._parseHex(number, start, endian);
    	      } else {
    	        this._parseBase(number, base, start);
    	        if (endian === 'le') {
    	          this._initArray(this.toArray(), base, endian);
    	        }
    	      }
    	    }
    	  };
    	  BN.prototype._initNumber = function _initNumber (number, base, endian) {
    	    if (number < 0) {
    	      this.negative = 1;
    	      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);
    	      this.words = [
    	        number & 0x3ffffff,
    	        (number / 0x4000000) & 0x3ffffff,
    	        1
    	      ];
    	      this.length = 3;
    	    }
    	    if (endian !== 'le') return;
    	    this._initArray(this.toArray(), base, endian);
    	  };
    	  BN.prototype._initArray = function _initArray (number, base, endian) {
    	    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 j, w;
    	    var off = 0;
    	    if (endian === 'be') {
    	      for (i = number.length - 1, j = 0; i >= 0; i -= 3) {
    	        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 (i = 0, j = 0; i < number.length; i += 3) {
    	        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 parseHex4Bits (string, index) {
    	    var c = string.charCodeAt(index);
    	    if (c >= 48 && c <= 57) {
    	      return c - 48;
    	    } else if (c >= 65 && c <= 70) {
    	      return c - 55;
    	    } else if (c >= 97 && c <= 102) {
    	      return c - 87;
    	    } else {
    	      assert(false, 'Invalid character in ' + string);
    	    }
    	  }
    	  function parseHexByte (string, lowerBound, index) {
    	    var r = parseHex4Bits(string, index);
    	    if (index - 1 >= lowerBound) {
    	      r |= parseHex4Bits(string, index - 1) << 4;
    	    }
    	    return r;
    	  }
    	  BN.prototype._parseHex = function _parseHex (number, start, endian) {
    	    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;
    	    }
    	    var off = 0;
    	    var j = 0;
    	    var w;
    	    if (endian === 'be') {
    	      for (i = number.length - 1; i >= start; i -= 2) {
    	        w = parseHexByte(number, start, i) << off;
    	        this.words[j] |= w & 0x3ffffff;
    	        if (off >= 18) {
    	          off -= 18;
    	          j += 1;
    	          this.words[j] |= w >>> 26;
    	        } else {
    	          off += 8;
    	        }
    	      }
    	    } else {
    	      var parseLength = number.length - start;
    	      for (i = parseLength % 2 === 0 ? start + 1 : start; i < number.length; i += 2) {
    	        w = parseHexByte(number, start, i) << off;
    	        this.words[j] |= w & 0x3ffffff;
    	        if (off >= 18) {
    	          off -= 18;
    	          j += 1;
    	          this.words[j] |= w >>> 26;
    	        } else {
    	          off += 8;
    	        }
    	      }
    	    }
    	    this._strip();
    	  };
    	  function parseBase (str, start, end, mul) {
    	    var r = 0;
    	    var b = 0;
    	    var len = Math.min(str.length, end);
    	    for (var i = start; i < len; i++) {
    	      var c = str.charCodeAt(i) - 48;
    	      r *= mul;
    	      if (c >= 49) {
    	        b = c - 49 + 0xa;
    	      } else if (c >= 17) {
    	        b = c - 17 + 0xa;
    	      } else {
    	        b = c;
    	      }
    	      assert(c >= 0 && b < mul, 'Invalid character');
    	      r += b;
    	    }
    	    return r;
    	  }
    	  BN.prototype._parseBase = function _parseBase (number, base, start) {
    	    this.words = [0];
    	    this.length = 1;
    	    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;
    	      word = parseBase(number, i, number.length, base);
    	      for (i = 0; i < mod; i++) {
    	        pow *= base;
    	      }
    	      this.imuln(pow);
    	      if (this.words[0] + word < 0x4000000) {
    	        this.words[0] += word;
    	      } else {
    	        this._iaddn(word);
    	      }
    	    }
    	    this._strip();
    	  };
    	  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.negative = this.negative;
    	    dest.red = this.red;
    	  };
    	  function move (dest, src) {
    	    dest.words = src.words;
    	    dest.length = src.length;
    	    dest.negative = src.negative;
    	    dest.red = src.red;
    	  }
    	  BN.prototype._move = function _move (dest) {
    	    move(dest, this);
    	  };
    	  BN.prototype.clone = function clone () {
    	    var r = new BN(null);
    	    this.copy(r);
    	    return r;
    	  };
    	  BN.prototype._expand = function _expand (size) {
    	    while (this.length < size) {
    	      this.words[this.length++] = 0;
    	    }
    	    return 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 () {
    	    if (this.length === 1 && this.words[0] === 0) {
    	      this.negative = 0;
    	    }
    	    return this;
    	  };
    	  if (typeof Symbol !== 'undefined' && typeof Symbol.for === 'function') {
    	    try {
    	      BN.prototype[Symbol.for('nodejs.util.inspect.custom')] = inspect;
    	    } catch (e) {
    	      BN.prototype.inspect = inspect;
    	    }
    	  } else {
    	    BN.prototype.inspect = inspect;
    	  }
    	  function inspect () {
    	    return (this.red ? '<BN-R: ' : '<BN: ') + this.toString(16) + '>';
    	  }
    	  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;
    	    padding = padding | 0 || 1;
    	    var out;
    	    if (base === 16 || base === 'hex') {
    	      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;
    	        off += 2;
    	        if (off >= 26) {
    	          off -= 26;
    	          i--;
    	        }
    	        if (carry !== 0 || i !== this.length - 1) {
    	          out = zeros[6 - word.length] + word + out;
    	        } else {
    	          out = word + out;
    	        }
    	      }
    	      if (carry !== 0) {
    	        out = carry.toString(16) + out;
    	      }
    	      while (out.length % padding !== 0) {
    	        out = '0' + out;
    	      }
    	      if (this.negative !== 0) {
    	        out = '-' + out;
    	      }
    	      return out;
    	    }
    	    if (base === (base | 0) && base >= 2 && base <= 36) {
    	      var groupSize = groupSizes[base];
    	      var groupBase = groupBases[base];
    	      out = '';
    	      var c = this.clone();
    	      c.negative = 0;
    	      while (!c.isZero()) {
    	        var r = c.modrn(groupBase).toString(base);
    	        c = c.idivn(groupBase);
    	        if (!c.isZero()) {
    	          out = zeros[groupSize - r.length] + r + out;
    	        } else {
    	          out = r + out;
    	        }
    	      }
    	      if (this.isZero()) {
    	        out = '0' + out;
    	      }
    	      while (out.length % padding !== 0) {
    	        out = '0' + out;
    	      }
    	      if (this.negative !== 0) {
    	        out = '-' + out;
    	      }
    	      return out;
    	    }
    	    assert(false, 'Base should be between 2 and 36');
    	  };
    	  BN.prototype.toNumber = function toNumber () {
    	    var ret = this.words[0];
    	    if (this.length === 2) {
    	      ret += this.words[1] * 0x4000000;
    	    } else if (this.length === 3 && this.words[2] === 0x01) {
    	      ret += 0x10000000000000 + (this.words[1] * 0x4000000);
    	    } else if (this.length > 2) {
    	      assert(false, 'Number can only safely store up to 53 bits');
    	    }
    	    return (this.negative !== 0) ? -ret : ret;
    	  };
    	  BN.prototype.toJSON = function toJSON () {
    	    return this.toString(16, 2);
    	  };
    	  if (Buffer) {
    	    BN.prototype.toBuffer = function toBuffer (endian, length) {
    	      return this.toArrayLike(Buffer, endian, length);
    	    };
    	  }
    	  BN.prototype.toArray = function toArray (endian, length) {
    	    return this.toArrayLike(Array, endian, length);
    	  };
    	  var allocate = function allocate (ArrayType, size) {
    	    if (ArrayType.allocUnsafe) {
    	      return ArrayType.allocUnsafe(size);
    	    }
    	    return new ArrayType(size);
    	  };
    	  BN.prototype.toArrayLike = function toArrayLike (ArrayType, endian, length) {
    	    this._strip();
    	    var byteLength = this.byteLength();
    	    var reqLength = length || Math.max(1, byteLength);
    	    assert(byteLength <= reqLength, 'byte array longer than desired length');
    	    assert(reqLength > 0, 'Requested array length <= 0');
    	    var res = allocate(ArrayType, reqLength);
    	    var postfix = endian === 'le' ? 'LE' : 'BE';
    	    this['_toArrayLike' + postfix](res, byteLength);
    	    return res;
    	  };
    	  BN.prototype._toArrayLikeLE = function _toArrayLikeLE (res, byteLength) {
    	    var position = 0;
    	    var carry = 0;
    	    for (var i = 0, shift = 0; i < this.length; i++) {
    	      var word = (this.words[i] << shift) | carry;
    	      res[position++] = word & 0xff;
    	      if (position < res.length) {
    	        res[position++] = (word >> 8) & 0xff;
    	      }
    	      if (position < res.length) {
    	        res[position++] = (word >> 16) & 0xff;
    	      }
    	      if (shift === 6) {
    	        if (position < res.length) {
    	          res[position++] = (word >> 24) & 0xff;
    	        }
    	        carry = 0;
    	        shift = 0;
    	      } else {
    	        carry = word >>> 24;
    	        shift += 2;
    	      }
    	    }
    	    if (position < res.length) {
    	      res[position++] = carry;
    	      while (position < res.length) {
    	        res[position++] = 0;
    	      }
    	    }
    	  };
    	  BN.prototype._toArrayLikeBE = function _toArrayLikeBE (res, byteLength) {
    	    var position = res.length - 1;
    	    var carry = 0;
    	    for (var i = 0, shift = 0; i < this.length; i++) {
    	      var word = (this.words[i] << shift) | carry;
    	      res[position--] = word & 0xff;
    	      if (position >= 0) {
    	        res[position--] = (word >> 8) & 0xff;
    	      }
    	      if (position >= 0) {
    	        res[position--] = (word >> 16) & 0xff;
    	      }
    	      if (shift === 6) {
    	        if (position >= 0) {
    	          res[position--] = (word >> 24) & 0xff;
    	        }
    	        carry = 0;
    	        shift = 0;
    	      } else {
    	        carry = word >>> 24;
    	        shift += 2;
    	      }
    	    }
    	    if (position >= 0) {
    	      res[position--] = carry;
    	      while (position >= 0) {
    	        res[position--] = 0;
    	      }
    	    }
    	  };
    	  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) {
    	    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;
    	  };
    	  BN.prototype.bitLength = function bitLength () {
    	    var w = this.words[this.length - 1];
    	    var hi = this._countBits(w);
    	    return (this.length - 1) * 26 + hi;
    	  };
    	  function toBitArray (num) {
    	    var w = new Array(num.bitLength());
    	    for (var bit = 0; bit < w.length; bit++) {
    	      var off = (bit / 26) | 0;
    	      var wbit = bit % 26;
    	      w[bit] = (num.words[off] >>> wbit) & 0x01;
    	    }
    	    return w;
    	  }
    	  BN.prototype.zeroBits = function zeroBits () {
    	    if (this.isZero()) 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);
    	  };
    	  BN.prototype.toTwos = function toTwos (width) {
    	    if (this.negative !== 0) {
    	      return this.abs().inotn(width).iaddn(1);
    	    }
    	    return this.clone();
    	  };
    	  BN.prototype.fromTwos = function fromTwos (width) {
    	    if (this.testn(width - 1)) {
    	      return this.notn(width).iaddn(1).ineg();
    	    }
    	    return this.clone();
    	  };
    	  BN.prototype.isNeg = function isNeg () {
    	    return this.negative !== 0;
    	  };
    	  BN.prototype.neg = function neg () {
    	    return this.clone().ineg();
    	  };
    	  BN.prototype.ineg = function ineg () {
    	    if (!this.isZero()) {
    	      this.negative ^= 1;
    	    }
    	    return this;
    	  };
    	  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.negative | num.negative) === 0);
    	    return this.iuor(num);
    	  };
    	  BN.prototype.or = function or (num) {
    	    if (this.length > num.length) return this.clone().ior(num);
    	    return num.clone().ior(this);
    	  };
    	  BN.prototype.uor = function uor (num) {
    	    if (this.length > num.length) return this.clone().iuor(num);
    	    return num.clone().iuor(this);
    	  };
    	  BN.prototype.iuand = function iuand (num) {
    	    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.negative | num.negative) === 0);
    	    return this.iuand(num);
    	  };
    	  BN.prototype.and = function and (num) {
    	    if (this.length > num.length) return this.clone().iand(num);
    	    return num.clone().iand(this);
    	  };
    	  BN.prototype.uand = function uand (num) {
    	    if (this.length > num.length) return this.clone().iuand(num);
    	    return num.clone().iuand(this);
    	  };
    	  BN.prototype.iuxor = function iuxor (num) {
    	    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.negative | num.negative) === 0);
    	    return this.iuxor(num);
    	  };
    	  BN.prototype.xor = function xor (num) {
    	    if (this.length > num.length) return this.clone().ixor(num);
    	    return num.clone().ixor(this);
    	  };
    	  BN.prototype.uxor = function uxor (num) {
    	    if (this.length > num.length) return this.clone().iuxor(num);
    	    return num.clone().iuxor(this);
    	  };
    	  BN.prototype.inotn = function inotn (width) {
    	    assert(typeof width === 'number' && width >= 0);
    	    var bytesNeeded = Math.ceil(width / 26) | 0;
    	    var bitsLeft = width % 26;
    	    this._expand(bytesNeeded);
    	    if (bitsLeft > 0) {
    	      bytesNeeded--;
    	    }
    	    for (var i = 0; i < bytesNeeded; i++) {
    	      this.words[i] = ~this.words[i] & 0x3ffffff;
    	    }
    	    if (bitsLeft > 0) {
    	      this.words[i] = ~this.words[i] & (0x3ffffff >> (26 - bitsLeft));
    	    }
    	    return this._strip();
    	  };
    	  BN.prototype.notn = function notn (width) {
    	    return this.clone().inotn(width);
    	  };
    	  BN.prototype.setn = function setn (bit, val) {
    	    assert(typeof bit === 'number' && bit >= 0);
    	    var off = (bit / 26) | 0;
    	    var wbit = bit % 26;
    	    this._expand(off + 1);
    	    if (val) {
    	      this.words[off] = this.words[off] | (1 << wbit);
    	    } else {
    	      this.words[off] = this.words[off] & ~(1 << wbit);
    	    }
    	    return this._strip();
    	  };
    	  BN.prototype.iadd = function iadd (num) {
    	    var r;
    	    if (this.negative !== 0 && num.negative === 0) {
    	      this.negative = 0;
    	      r = this.isub(num);
    	      this.negative ^= 1;
    	      return this._normSign();
    	    } else if (this.negative === 0 && num.negative !== 0) {
    	      num.negative = 0;
    	      r = this.isub(num);
    	      num.negative = 1;
    	      return r._normSign();
    	    }
    	    var a, 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++) {
    	      r = (a.words[i] | 0) + (b.words[i] | 0) + carry;
    	      this.words[i] = r & 0x3ffffff;
    	      carry = r >>> 26;
    	    }
    	    for (; carry !== 0 && i < a.length; i++) {
    	      r = (a.words[i] | 0) + carry;
    	      this.words[i] = r & 0x3ffffff;
    	      carry = r >>> 26;
    	    }
    	    this.length = a.length;
    	    if (carry !== 0) {
    	      this.words[this.length] = carry;
    	      this.length++;
    	    } else if (a !== this) {
    	      for (; i < a.length; i++) {
    	        this.words[i] = a.words[i];
    	      }
    	    }
    	    return this;
    	  };
    	  BN.prototype.add = function add (num) {
    	    var res;
    	    if (num.negative !== 0 && this.negative === 0) {
    	      num.negative = 0;
    	      res = this.sub(num);
    	      num.negative ^= 1;
    	      return res;
    	    } else if (num.negative === 0 && this.negative !== 0) {
    	      this.negative = 0;
    	      res = num.sub(this);
    	      this.negative = 1;
    	      return res;
    	    }
    	    if (this.length > num.length) return this.clone().iadd(num);
    	    return num.clone().iadd(this);
    	  };
    	  BN.prototype.isub = function isub (num) {
    	    if (num.negative !== 0) {
    	      num.negative = 0;
    	      var r = this.iadd(num);
    	      num.negative = 1;
    	      return r._normSign();
    	    } else if (this.negative !== 0) {
    	      this.negative = 0;
    	      this.iadd(num);
    	      this.negative = 1;
    	      return this._normSign();
    	    }
    	    var cmp = this.cmp(num);
    	    if (cmp === 0) {
    	      this.negative = 0;
    	      this.length = 1;
    	      this.words[0] = 0;
    	      return this;
    	    }
    	    var a, b;
    	    if (cmp > 0) {
    	      a = this;
    	      b = num;
    	    } else {
    	      a = num;
    	      b = this;
    	    }
    	    var carry = 0;
    	    for (var i = 0; i < b.length; i++) {
    	      r = (a.words[i] | 0) - (b.words[i] | 0) + carry;
    	      carry = r >> 26;
    	      this.words[i] = r & 0x3ffffff;
    	    }
    	    for (; carry !== 0 && i < a.length; i++) {
    	      r = (a.words[i] | 0) + carry;
    	      carry = r >> 26;
    	      this.words[i] = r & 0x3ffffff;
    	    }
    	    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.negative = 1;
    	    }
    	    return this._strip();
    	  };
    	  BN.prototype.sub = function sub (num) {
    	    return this.clone().isub(num);
    	  };
    	  function smallMulTo (self, num, out) {
    	    out.negative = num.negative ^ self.negative;
    	    var len = (self.length + num.length) | 0;
    	    out.length = len;
    	    len = (len - 1) | 0;
    	    var a = self.words[0] | 0;
    	    var b = num.words[0] | 0;
    	    var r = a * b;
    	    var lo = r & 0x3ffffff;
    	    var carry = (r / 0x4000000) | 0;
    	    out.words[0] = lo;
    	    for (var k = 1; k < len; k++) {
    	      var ncarry = carry >>> 26;
    	      var rword = carry & 0x3ffffff;
    	      var maxJ = Math.min(k, num.length - 1);
    	      for (var j = Math.max(0, k - self.length + 1); j <= maxJ; j++) {
    	        var i = (k - j) | 0;
    	        a = self.words[i] | 0;
    	        b = num.words[j] | 0;
    	        r = a * b + rword;
    	        ncarry += (r / 0x4000000) | 0;
    	        rword = r & 0x3ffffff;
    	      }
    	      out.words[k] = rword | 0;
    	      carry = ncarry | 0;
    	    }
    	    if (carry !== 0) {
    	      out.words[k] = carry | 0;
    	    } else {
    	      out.length--;
    	    }
    	    return out._strip();
    	  }
    	  var comb10MulTo = function comb10MulTo (self, num, out) {
    	    var a = self.words;
    	    var b = num.words;
    	    var o = out.words;
    	    var c = 0;
    	    var lo;
    	    var mid;
    	    var hi;
    	    var a0 = a[0] | 0;
    	    var al0 = a0 & 0x1fff;
    	    var ah0 = a0 >>> 13;
    	    var a1 = a[1] | 0;
    	    var al1 = a1 & 0x1fff;
    	    var ah1 = a1 >>> 13;
    	    var a2 = a[2] | 0;
    	    var al2 = a2 & 0x1fff;
    	    var ah2 = a2 >>> 13;
    	    var a3 = a[3] | 0;
    	    var al3 = a3 & 0x1fff;
    	    var ah3 = a3 >>> 13;
    	    var a4 = a[4] | 0;
    	    var al4 = a4 & 0x1fff;
    	    var ah4 = a4 >>> 13;
    	    var a5 = a[5] | 0;
    	    var al5 = a5 & 0x1fff;
    	    var ah5 = a5 >>> 13;
    	    var a6 = a[6] | 0;
    	    var al6 = a6 & 0x1fff;
    	    var ah6 = a6 >>> 13;
    	    var a7 = a[7] | 0;
    	    var al7 = a7 & 0x1fff;
    	    var ah7 = a7 >>> 13;
    	    var a8 = a[8] | 0;
    	    var al8 = a8 & 0x1fff;
    	    var ah8 = a8 >>> 13;
    	    var a9 = a[9] | 0;
    	    var al9 = a9 & 0x1fff;
    	    var ah9 = a9 >>> 13;
    	    var b0 = b[0] | 0;
    	    var bl0 = b0 & 0x1fff;
    	    var bh0 = b0 >>> 13;
    	    var b1 = b[1] | 0;
    	    var bl1 = b1 & 0x1fff;
    	    var bh1 = b1 >>> 13;
    	    var b2 = b[2] | 0;
    	    var bl2 = b2 & 0x1fff;
    	    var bh2 = b2 >>> 13;
    	    var b3 = b[3] | 0;
    	    var bl3 = b3 & 0x1fff;
    	    var bh3 = b3 >>> 13;
    	    var b4 = b[4] | 0;
    	    var bl4 = b4 & 0x1fff;
    	    var bh4 = b4 >>> 13;
    	    var b5 = b[5] | 0;
    	    var bl5 = b5 & 0x1fff;
    	    var bh5 = b5 >>> 13;
    	    var b6 = b[6] | 0;
    	    var bl6 = b6 & 0x1fff;
    	    var bh6 = b6 >>> 13;
    	    var b7 = b[7] | 0;
    	    var bl7 = b7 & 0x1fff;
    	    var bh7 = b7 >>> 13;
    	    var b8 = b[8] | 0;
    	    var bl8 = b8 & 0x1fff;
    	    var bh8 = b8 >>> 13;
    	    var b9 = b[9] | 0;
    	    var bl9 = b9 & 0x1fff;
    	    var bh9 = b9 >>> 13;
    	    out.negative = self.negative ^ num.negative;
    	    out.length = 19;
    	    lo = Math.imul(al0, bl0);
    	    mid = Math.imul(al0, bh0);
    	    mid = (mid + Math.imul(ah0, bl0)) | 0;
    	    hi = Math.imul(ah0, bh0);
    	    var w0 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
    	    c = (((hi + (mid >>> 13)) | 0) + (w0 >>> 26)) | 0;
    	    w0 &= 0x3ffffff;
    	    lo = Math.imul(al1, bl0);
    	    mid = Math.imul(al1, bh0);
    	    mid = (mid + Math.imul(ah1, bl0)) | 0;
    	    hi = Math.imul(ah1, bh0);
    	    lo = (lo + Math.imul(al0, bl1)) | 0;
    	    mid = (mid + Math.imul(al0, bh1)) | 0;
    	    mid = (mid + Math.imul(ah0, bl1)) | 0;
    	    hi = (hi + Math.imul(ah0, bh1)) | 0;
    	    var w1 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
    	    c = (((hi + (mid >>> 13)) | 0) + (w1 >>> 26)) | 0;
    	    w1 &= 0x3ffffff;
    	    lo = Math.imul(al2, bl0);
    	    mid = Math.imul(al2, bh0);
    	    mid = (mid + Math.imul(ah2, bl0)) | 0;
    	    hi = Math.imul(ah2, bh0);
    	    lo = (lo + Math.imul(al1, bl1)) | 0;
    	    mid = (mid + Math.imul(al1, bh1)) | 0;
    	    mid = (mid + Math.imul(ah1, bl1)) | 0;
    	    hi = (hi + Math.imul(ah1, bh1)) | 0;
    	    lo = (lo + Math.imul(al0, bl2)) | 0;
    	    mid = (mid + Math.imul(al0, bh2)) | 0;
    	    mid = (mid + Math.imul(ah0, bl2)) | 0;
    	    hi = (hi + Math.imul(ah0, bh2)) | 0;
    	    var w2 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
    	    c = (((hi + (mid >>> 13)) | 0) + (w2 >>> 26)) | 0;
    	    w2 &= 0x3ffffff;
    	    lo = Math.imul(al3, bl0);
    	    mid = Math.imul(al3, bh0);
    	    mid = (mid + Math.imul(ah3, bl0)) | 0;
    	    hi = Math.imul(ah3, bh0);
    	    lo = (lo + Math.imul(al2, bl1)) | 0;
    	    mid = (mid + Math.imul(al2, bh1)) | 0;
    	    mid = (mid + Math.imul(ah2, bl1)) | 0;
    	    hi = (hi + Math.imul(ah2, bh1)) | 0;
    	    lo = (lo + Math.imul(al1, bl2)) | 0;
    	    mid = (mid + Math.imul(al1, bh2)) | 0;
    	    mid = (mid + Math.imul(ah1, bl2)) | 0;
    	    hi = (hi + Math.imul(ah1, bh2)) | 0;
    	    lo = (lo + Math.imul(al0, bl3)) | 0;
    	    mid = (mid + Math.imul(al0, bh3)) | 0;
    	    mid = (mid + Math.imul(ah0, bl3)) | 0;
    	    hi = (hi + Math.imul(ah0, bh3)) | 0;
    	    var w3 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
    	    c = (((hi + (mid >>> 13)) | 0) + (w3 >>> 26)) | 0;
    	    w3 &= 0x3ffffff;
    	    lo = Math.imul(al4, bl0);
    	    mid = Math.imul(al4, bh0);
    	    mid = (mid + Math.imul(ah4, bl0)) | 0;
    	    hi = Math.imul(ah4, bh0);
    	    lo = (lo + Math.imul(al3, bl1)) | 0;
    	    mid = (mid + Math.imul(al3, bh1)) | 0;
    	    mid = (mid + Math.imul(ah3, bl1)) | 0;
    	    hi = (hi + Math.imul(ah3, bh1)) | 0;
    	    lo = (lo + Math.imul(al2, bl2)) | 0;
    	    mid = (mid + Math.imul(al2, bh2)) | 0;
    	    mid = (mid + Math.imul(ah2, bl2)) | 0;
    	    hi = (hi + Math.imul(ah2, bh2)) | 0;
    	    lo = (lo + Math.imul(al1, bl3)) | 0;
    	    mid = (mid + Math.imul(al1, bh3)) | 0;
    	    mid = (mid + Math.imul(ah1, bl3)) | 0;
    	    hi = (hi + Math.imul(ah1, bh3)) | 0;
    	    lo = (lo + Math.imul(al0, bl4)) | 0;
    	    mid = (mid + Math.imul(al0, bh4)) | 0;
    	    mid = (mid + Math.imul(ah0, bl4)) | 0;
    	    hi = (hi + Math.imul(ah0, bh4)) | 0;
    	    var w4 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
    	    c = (((hi + (mid >>> 13)) | 0) + (w4 >>> 26)) | 0;
    	    w4 &= 0x3ffffff;
    	    lo = Math.imul(al5, bl0);
    	    mid = Math.imul(al5, bh0);
    	    mid = (mid + Math.imul(ah5, bl0)) | 0;
    	    hi = Math.imul(ah5, bh0);
    	    lo = (lo + Math.imul(al4, bl1)) | 0;
    	    mid = (mid + Math.imul(al4, bh1)) | 0;
    	    mid = (mid + Math.imul(ah4, bl1)) | 0;
    	    hi = (hi + Math.imul(ah4, bh1)) | 0;
    	    lo = (lo + Math.imul(al3, bl2)) | 0;
    	    mid = (mid + Math.imul(al3, bh2)) | 0;
    	    mid = (mid + Math.imul(ah3, bl2)) | 0;
    	    hi = (hi + Math.imul(ah3, bh2)) | 0;
    	    lo = (lo + Math.imul(al2, bl3)) | 0;
    	    mid = (mid + Math.imul(al2, bh3)) | 0;
    	    mid = (mid + Math.imul(ah2, bl3)) | 0;
    	    hi = (hi + Math.imul(ah2, bh3)) | 0;
    	    lo = (lo + Math.imul(al1, bl4)) | 0;
    	    mid = (mid + Math.imul(al1, bh4)) | 0;
    	    mid = (mid + Math.imul(ah1, bl4)) | 0;
    	    hi = (hi + Math.imul(ah1, bh4)) | 0;
    	    lo = (lo + Math.imul(al0, bl5)) | 0;
    	    mid = (mid + Math.imul(al0, bh5)) | 0;
    	    mid = (mid + Math.imul(ah0, bl5)) | 0;
    	    hi = (hi + Math.imul(ah0, bh5)) | 0;
    	    var w5 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
    	    c = (((hi + (mid >>> 13)) | 0) + (w5 >>> 26)) | 0;
    	    w5 &= 0x3ffffff;
    	    lo = Math.imul(al6, bl0);
    	    mid = Math.imul(al6, bh0);
    	    mid = (mid + Math.imul(ah6, bl0)) | 0;
    	    hi = Math.imul(ah6, bh0);
    	    lo = (lo + Math.imul(al5, bl1)) | 0;
    	    mid = (mid + Math.imul(al5, bh1)) | 0;
    	    mid = (mid + Math.imul(ah5, bl1)) | 0;
    	    hi = (hi + Math.imul(ah5, bh1)) | 0;
    	    lo = (lo + Math.imul(al4, bl2)) | 0;
    	    mid = (mid + Math.imul(al4, bh2)) | 0;
    	    mid = (mid + Math.imul(ah4, bl2)) | 0;
    	    hi = (hi + Math.imul(ah4, bh2)) | 0;
    	    lo = (lo + Math.imul(al3, bl3)) | 0;
    	    mid = (mid + Math.imul(al3, bh3)) | 0;
    	    mid = (mid + Math.imul(ah3, bl3)) | 0;
    	    hi = (hi + Math.imul(ah3, bh3)) | 0;
    	    lo = (lo + Math.imul(al2, bl4)) | 0;
    	    mid = (mid + Math.imul(al2, bh4)) | 0;
    	    mid = (mid + Math.imul(ah2, bl4)) | 0;
    	    hi = (hi + Math.imul(ah2, bh4)) | 0;
    	    lo = (lo + Math.imul(al1, bl5)) | 0;
    	    mid = (mid + Math.imul(al1, bh5)) | 0;
    	    mid = (mid + Math.imul(ah1, bl5)) | 0;
    	    hi = (hi + Math.imul(ah1, bh5)) | 0;
    	    lo = (lo + Math.imul(al0, bl6)) | 0;
    	    mid = (mid + Math.imul(al0, bh6)) | 0;
    	    mid = (mid + Math.imul(ah0, bl6)) | 0;
    	    hi = (hi + Math.imul(ah0, bh6)) | 0;
    	    var w6 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
    	    c = (((hi + (mid >>> 13)) | 0) + (w6 >>> 26)) | 0;
    	    w6 &= 0x3ffffff;
    	    lo = Math.imul(al7, bl0);
    	    mid = Math.imul(al7, bh0);
    	    mid = (mid + Math.imul(ah7, bl0)) | 0;
    	    hi = Math.imul(ah7, bh0);
    	    lo = (lo + Math.imul(al6, bl1)) | 0;
    	    mid = (mid + Math.imul(al6, bh1)) | 0;
    	    mid = (mid + Math.imul(ah6, bl1)) | 0;
    	    hi = (hi + Math.imul(ah6, bh1)) | 0;
    	    lo = (lo + Math.imul(al5, bl2)) | 0;
    	    mid = (mid + Math.imul(al5, bh2)) | 0;
    	    mid = (mid + Math.imul(ah5, bl2)) | 0;
    	    hi = (hi + Math.imul(ah5, bh2)) | 0;
    	    lo = (lo + Math.imul(al4, bl3)) | 0;
    	    mid = (mid + Math.imul(al4, bh3)) | 0;
    	    mid = (mid + Math.imul(ah4, bl3)) | 0;
    	    hi = (hi + Math.imul(ah4, bh3)) | 0;
    	    lo = (lo + Math.imul(al3, bl4)) | 0;
    	    mid = (mid + Math.imul(al3, bh4)) | 0;
    	    mid = (mid + Math.imul(ah3, bl4)) | 0;
    	    hi = (hi + Math.imul(ah3, bh4)) | 0;
    	    lo = (lo + Math.imul(al2, bl5)) | 0;
    	    mid = (mid + Math.imul(al2, bh5)) | 0;
    	    mid = (mid + Math.imul(ah2, bl5)) | 0;
    	    hi = (hi + Math.imul(ah2, bh5)) | 0;
    	    lo = (lo + Math.imul(al1, bl6)) | 0;
    	    mid = (mid + Math.imul(al1, bh6)) | 0;
    	    mid = (mid + Math.imul(ah1, bl6)) | 0;
    	    hi = (hi + Math.imul(ah1, bh6)) | 0;
    	    lo = (lo + Math.imul(al0, bl7)) | 0;
    	    mid = (mid + Math.imul(al0, bh7)) | 0;
    	    mid = (mid + Math.imul(ah0, bl7)) | 0;
    	    hi = (hi + Math.imul(ah0, bh7)) | 0;
    	    var w7 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
    	    c = (((hi + (mid >>> 13)) | 0) + (w7 >>> 26)) | 0;
    	    w7 &= 0x3ffffff;
    	    lo = Math.imul(al8, bl0);
    	    mid = Math.imul(al8, bh0);
    	    mid = (mid + Math.imul(ah8, bl0)) | 0;
    	    hi = Math.imul(ah8, bh0);
    	    lo = (lo + Math.imul(al7, bl1)) | 0;
    	    mid = (mid + Math.imul(al7, bh1)) | 0;
    	    mid = (mid + Math.imul(ah7, bl1)) | 0;
    	    hi = (hi + Math.imul(ah7, bh1)) | 0;
    	    lo = (lo + Math.imul(al6, bl2)) | 0;
    	    mid = (mid + Math.imul(al6, bh2)) | 0;
    	    mid = (mid + Math.imul(ah6, bl2)) | 0;
    	    hi = (hi + Math.imul(ah6, bh2)) | 0;
    	    lo = (lo + Math.imul(al5, bl3)) | 0;
    	    mid = (mid + Math.imul(al5, bh3)) | 0;
    	    mid = (mid + Math.imul(ah5, bl3)) | 0;
    	    hi = (hi + Math.imul(ah5, bh3)) | 0;
    	    lo = (lo + Math.imul(al4, bl4)) | 0;
    	    mid = (mid + Math.imul(al4, bh4)) | 0;
    	    mid = (mid + Math.imul(ah4, bl4)) | 0;
    	    hi = (hi + Math.imul(ah4, bh4)) | 0;
    	    lo = (lo + Math.imul(al3, bl5)) | 0;
    	    mid = (mid + Math.imul(al3, bh5)) | 0;
    	    mid = (mid + Math.imul(ah3, bl5)) | 0;
    	    hi = (hi + Math.imul(ah3, bh5)) | 0;
    	    lo = (lo + Math.imul(al2, bl6)) | 0;
    	    mid = (mid + Math.imul(al2, bh6)) | 0;
    	    mid = (mid + Math.imul(ah2, bl6)) | 0;
    	    hi = (hi + Math.imul(ah2, bh6)) | 0;
    	    lo = (lo + Math.imul(al1, bl7)) | 0;
    	    mid = (mid + Math.imul(al1, bh7)) | 0;
    	    mid = (mid + Math.imul(ah1, bl7)) | 0;
    	    hi = (hi + Math.imul(ah1, bh7)) | 0;
    	    lo = (lo + Math.imul(al0, bl8)) | 0;
    	    mid = (mid + Math.imul(al0, bh8)) | 0;
    	    mid = (mid + Math.imul(ah0, bl8)) | 0;
    	    hi = (hi + Math.imul(ah0, bh8)) | 0;
    	    var w8 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
    	    c = (((hi + (mid >>> 13)) | 0) + (w8 >>> 26)) | 0;
    	    w8 &= 0x3ffffff;
    	    lo = Math.imul(al9, bl0);
    	    mid = Math.imul(al9, bh0);
    	    mid = (mid + Math.imul(ah9, bl0)) | 0;
    	    hi = Math.imul(ah9, bh0);
    	    lo = (lo + Math.imul(al8, bl1)) | 0;
    	    mid = (mid + Math.imul(al8, bh1)) | 0;
    	    mid = (mid + Math.imul(ah8, bl1)) | 0;
    	    hi = (hi + Math.imul(ah8, bh1)) | 0;
    	    lo = (lo + Math.imul(al7, bl2)) | 0;
    	    mid = (mid + Math.imul(al7, bh2)) | 0;
    	    mid = (mid + Math.imul(ah7, bl2)) | 0;
    	    hi = (hi + Math.imul(ah7, bh2)) | 0;
    	    lo = (lo + Math.imul(al6, bl3)) | 0;
    	    mid = (mid + Math.imul(al6, bh3)) | 0;
    	    mid = (mid + Math.imul(ah6, bl3)) | 0;
    	    hi = (hi + Math.imul(ah6, bh3)) | 0;
    	    lo = (lo + Math.imul(al5, bl4)) | 0;
    	    mid = (mid + Math.imul(al5, bh4)) | 0;
    	    mid = (mid + Math.imul(ah5, bl4)) | 0;
    	    hi = (hi + Math.imul(ah5, bh4)) | 0;
    	    lo = (lo + Math.imul(al4, bl5)) | 0;
    	    mid = (mid + Math.imul(al4, bh5)) | 0;
    	    mid = (mid + Math.imul(ah4, bl5)) | 0;
    	    hi = (hi + Math.imul(ah4, bh5)) | 0;
    	    lo = (lo + Math.imul(al3, bl6)) | 0;
    	    mid = (mid + Math.imul(al3, bh6)) | 0;
    	    mid = (mid + Math.imul(ah3, bl6)) | 0;
    	    hi = (hi + Math.imul(ah3, bh6)) | 0;
    	    lo = (lo + Math.imul(al2, bl7)) | 0;
    	    mid = (mid + Math.imul(al2, bh7)) | 0;
    	    mid = (mid + Math.imul(ah2, bl7)) | 0;
    	    hi = (hi + Math.imul(ah2, bh7)) | 0;
    	    lo = (lo + Math.imul(al1, bl8)) | 0;
    	    mid = (mid + Math.imul(al1, bh8)) | 0;
    	    mid = (mid + Math.imul(ah1, bl8)) | 0;
    	    hi = (hi + Math.imul(ah1, bh8)) | 0;
    	    lo = (lo + Math.imul(al0, bl9)) | 0;
    	    mid = (mid + Math.imul(al0, bh9)) | 0;
    	    mid = (mid + Math.imul(ah0, bl9)) | 0;
    	    hi = (hi + Math.imul(ah0, bh9)) | 0;
    	    var w9 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
    	    c = (((hi + (mid >>> 13)) | 0) + (w9 >>> 26)) | 0;
    	    w9 &= 0x3ffffff;
    	    lo = Math.imul(al9, bl1);
    	    mid = Math.imul(al9, bh1);
    	    mid = (mid + Math.imul(ah9, bl1)) | 0;
    	    hi = Math.imul(ah9, bh1);
    	    lo = (lo + Math.imul(al8, bl2)) | 0;
    	    mid = (mid + Math.imul(al8, bh2)) | 0;
    	    mid = (mid + Math.imul(ah8, bl2)) | 0;
    	    hi = (hi + Math.imul(ah8, bh2)) | 0;
    	    lo = (lo + Math.imul(al7, bl3)) | 0;
    	    mid = (mid + Math.imul(al7, bh3)) | 0;
    	    mid = (mid + Math.imul(ah7, bl3)) | 0;
    	    hi = (hi + Math.imul(ah7, bh3)) | 0;
    	    lo = (lo + Math.imul(al6, bl4)) | 0;
    	    mid = (mid + Math.imul(al6, bh4)) | 0;
    	    mid = (mid + Math.imul(ah6, bl4)) | 0;
    	    hi = (hi + Math.imul(ah6, bh4)) | 0;
    	    lo = (lo + Math.imul(al5, bl5)) | 0;
    	    mid = (mid + Math.imul(al5, bh5)) | 0;
    	    mid = (mid + Math.imul(ah5, bl5)) | 0;
    	    hi = (hi + Math.imul(ah5, bh5)) | 0;
    	    lo = (lo + Math.imul(al4, bl6)) | 0;
    	    mid = (mid + Math.imul(al4, bh6)) | 0;
    	    mid = (mid + Math.imul(ah4, bl6)) | 0;
    	    hi = (hi + Math.imul(ah4, bh6)) | 0;
    	    lo = (lo + Math.imul(al3, bl7)) | 0;
    	    mid = (mid + Math.imul(al3, bh7)) | 0;
    	    mid = (mid + Math.imul(ah3, bl7)) | 0;
    	    hi = (hi + Math.imul(ah3, bh7)) | 0;
    	    lo = (lo + Math.imul(al2, bl8)) | 0;
    	    mid = (mid + Math.imul(al2, bh8)) | 0;
    	    mid = (mid + Math.imul(ah2, bl8)) | 0;
    	    hi = (hi + Math.imul(ah2, bh8)) | 0;
    	    lo = (lo + Math.imul(al1, bl9)) | 0;
    	    mid = (mid + Math.imul(al1, bh9)) | 0;
    	    mid = (mid + Math.imul(ah1, bl9)) | 0;
    	    hi = (hi + Math.imul(ah1, bh9)) | 0;
    	    var w10 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
    	    c = (((hi + (mid >>> 13)) | 0) + (w10 >>> 26)) | 0;
    	    w10 &= 0x3ffffff;
    	    lo = Math.imul(al9, bl2);
    	    mid = Math.imul(al9, bh2);
    	    mid = (mid + Math.imul(ah9, bl2)) | 0;
    	    hi = Math.imul(ah9, bh2);
    	    lo = (lo + Math.imul(al8, bl3)) | 0;
    	    mid = (mid + Math.imul(al8, bh3)) | 0;
    	    mid = (mid + Math.imul(ah8, bl3)) | 0;
    	    hi = (hi + Math.imul(ah8, bh3)) | 0;
    	    lo = (lo + Math.imul(al7, bl4)) | 0;
    	    mid = (mid + Math.imul(al7, bh4)) | 0;
    	    mid = (mid + Math.imul(ah7, bl4)) | 0;
    	    hi = (hi + Math.imul(ah7, bh4)) | 0;
    	    lo = (lo + Math.imul(al6, bl5)) | 0;
    	    mid = (mid + Math.imul(al6, bh5)) | 0;
    	    mid = (mid + Math.imul(ah6, bl5)) | 0;
    	    hi = (hi + Math.imul(ah6, bh5)) | 0;
    	    lo = (lo + Math.imul(al5, bl6)) | 0;
    	    mid = (mid + Math.imul(al5, bh6)) | 0;
    	    mid = (mid + Math.imul(ah5, bl6)) | 0;
    	    hi = (hi + Math.imul(ah5, bh6)) | 0;
    	    lo = (lo + Math.imul(al4, bl7)) | 0;
    	    mid = (mid + Math.imul(al4, bh7)) | 0;
    	    mid = (mid + Math.imul(ah4, bl7)) | 0;
    	    hi = (hi + Math.imul(ah4, bh7)) | 0;
    	    lo = (lo + Math.imul(al3, bl8)) | 0;
    	    mid = (mid + Math.imul(al3, bh8)) | 0;
    	    mid = (mid + Math.imul(ah3, bl8)) | 0;
    	    hi = (hi + Math.imul(ah3, bh8)) | 0;
    	    lo = (lo + Math.imul(al2, bl9)) | 0;
    	    mid = (mid + Math.imul(al2, bh9)) | 0;
    	    mid = (mid + Math.imul(ah2, bl9)) | 0;
    	    hi = (hi + Math.imul(ah2, bh9)) | 0;
    	    var w11 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
    	    c = (((hi + (mid >>> 13)) | 0) + (w11 >>> 26)) | 0;
    	    w11 &= 0x3ffffff;
    	    lo = Math.imul(al9, bl3);
    	    mid = Math.imul(al9, bh3);
    	    mid = (mid + Math.imul(ah9, bl3)) | 0;
    	    hi = Math.imul(ah9, bh3);
    	    lo = (lo + Math.imul(al8, bl4)) | 0;
    	    mid = (mid + Math.imul(al8, bh4)) | 0;
    	    mid = (mid + Math.imul(ah8, bl4)) | 0;
    	    hi = (hi + Math.imul(ah8, bh4)) | 0;
    	    lo = (lo + Math.imul(al7, bl5)) | 0;
    	    mid = (mid + Math.imul(al7, bh5)) | 0;
    	    mid = (mid + Math.imul(ah7, bl5)) | 0;
    	    hi = (hi + Math.imul(ah7, bh5)) | 0;
    	    lo = (lo + Math.imul(al6, bl6)) | 0;
    	    mid = (mid + Math.imul(al6, bh6)) | 0;
    	    mid = (mid + Math.imul(ah6, bl6)) | 0;
    	    hi = (hi + Math.imul(ah6, bh6)) | 0;
    	    lo = (lo + Math.imul(al5, bl7)) | 0;
    	    mid = (mid + Math.imul(al5, bh7)) | 0;
    	    mid = (mid + Math.imul(ah5, bl7)) | 0;
    	    hi = (hi + Math.imul(ah5, bh7)) | 0;
    	    lo = (lo + Math.imul(al4, bl8)) | 0;
    	    mid = (mid + Math.imul(al4, bh8)) | 0;
    	    mid = (mid + Math.imul(ah4, bl8)) | 0;
    	    hi = (hi + Math.imul(ah4, bh8)) | 0;
    	    lo = (lo + Math.imul(al3, bl9)) | 0;
    	    mid = (mid + Math.imul(al3, bh9)) | 0;
    	    mid = (mid + Math.imul(ah3, bl9)) | 0;
    	    hi = (hi + Math.imul(ah3, bh9)) | 0;
    	    var w12 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
    	    c = (((hi + (mid >>> 13)) | 0) + (w12 >>> 26)) | 0;
    	    w12 &= 0x3ffffff;
    	    lo = Math.imul(al9, bl4);
    	    mid = Math.imul(al9, bh4);
    	    mid = (mid + Math.imul(ah9, bl4)) | 0;
    	    hi = Math.imul(ah9, bh4);
    	    lo = (lo + Math.imul(al8, bl5)) | 0;
    	    mid = (mid + Math.imul(al8, bh5)) | 0;
    	    mid = (mid + Math.imul(ah8, bl5)) | 0;
    	    hi = (hi + Math.imul(ah8, bh5)) | 0;
    	    lo = (lo + Math.imul(al7, bl6)) | 0;
    	    mid = (mid + Math.imul(al7, bh6)) | 0;
    	    mid = (mid + Math.imul(ah7, bl6)) | 0;
    	    hi = (hi + Math.imul(ah7, bh6)) | 0;
    	    lo = (lo + Math.imul(al6, bl7)) | 0;
    	    mid = (mid + Math.imul(al6, bh7)) | 0;
    	    mid = (mid + Math.imul(ah6, bl7)) | 0;
    	    hi = (hi + Math.imul(ah6, bh7)) | 0;
    	    lo = (lo + Math.imul(al5, bl8)) | 0;
    	    mid = (mid + Math.imul(al5, bh8)) | 0;
    	    mid = (mid + Math.imul(ah5, bl8)) | 0;
    	    hi = (hi + Math.imul(ah5, bh8)) | 0;
    	    lo = (lo + Math.imul(al4, bl9)) | 0;
    	    mid = (mid + Math.imul(al4, bh9)) | 0;
    	    mid = (mid + Math.imul(ah4, bl9)) | 0;
    	    hi = (hi + Math.imul(ah4, bh9)) | 0;
    	    var w13 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
    	    c = (((hi + (mid >>> 13)) | 0) + (w13 >>> 26)) | 0;
    	    w13 &= 0x3ffffff;
    	    lo = Math.imul(al9, bl5);
    	    mid = Math.imul(al9, bh5);
    	    mid = (mid + Math.imul(ah9, bl5)) | 0;
    	    hi = Math.imul(ah9, bh5);
    	    lo = (lo + Math.imul(al8, bl6)) | 0;
    	    mid = (mid + Math.imul(al8, bh6)) | 0;
    	    mid = (mid + Math.imul(ah8, bl6)) | 0;
    	    hi = (hi + Math.imul(ah8, bh6)) | 0;
    	    lo = (lo + Math.imul(al7, bl7)) | 0;
    	    mid = (mid + Math.imul(al7, bh7)) | 0;
    	    mid = (mid + Math.imul(ah7, bl7)) | 0;
    	    hi = (hi + Math.imul(ah7, bh7)) | 0;
    	    lo = (lo + Math.imul(al6, bl8)) | 0;
    	    mid = (mid + Math.imul(al6, bh8)) | 0;
    	    mid = (mid + Math.imul(ah6, bl8)) | 0;
    	    hi = (hi + Math.imul(ah6, bh8)) | 0;
    	    lo = (lo + Math.imul(al5, bl9)) | 0;
    	    mid = (mid + Math.imul(al5, bh9)) | 0;
    	    mid = (mid + Math.imul(ah5, bl9)) | 0;
    	    hi = (hi + Math.imul(ah5, bh9)) | 0;
    	    var w14 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
    	    c = (((hi + (mid >>> 13)) | 0) + (w14 >>> 26)) | 0;
    	    w14 &= 0x3ffffff;
    	    lo = Math.imul(al9, bl6);
    	    mid = Math.imul(al9, bh6);
    	    mid = (mid + Math.imul(ah9, bl6)) | 0;
    	    hi = Math.imul(ah9, bh6);
    	    lo = (lo + Math.imul(al8, bl7)) | 0;
    	    mid = (mid + Math.imul(al8, bh7)) | 0;
    	    mid = (mid + Math.imul(ah8, bl7)) | 0;
    	    hi = (hi + Math.imul(ah8, bh7)) | 0;
    	    lo = (lo + Math.imul(al7, bl8)) | 0;
    	    mid = (mid + Math.imul(al7, bh8)) | 0;
    	    mid = (mid + Math.imul(ah7, bl8)) | 0;
    	    hi = (hi + Math.imul(ah7, bh8)) | 0;
    	    lo = (lo + Math.imul(al6, bl9)) | 0;
    	    mid = (mid + Math.imul(al6, bh9)) | 0;
    	    mid = (mid + Math.imul(ah6, bl9)) | 0;
    	    hi = (hi + Math.imul(ah6, bh9)) | 0;
    	    var w15 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
    	    c = (((hi + (mid >>> 13)) | 0) + (w15 >>> 26)) | 0;
    	    w15 &= 0x3ffffff;
    	    lo = Math.imul(al9, bl7);
    	    mid = Math.imul(al9, bh7);
    	    mid = (mid + Math.imul(ah9, bl7)) | 0;
    	    hi = Math.imul(ah9, bh7);
    	    lo = (lo + Math.imul(al8, bl8)) | 0;
    	    mid = (mid + Math.imul(al8, bh8)) | 0;
    	    mid = (mid + Math.imul(ah8, bl8)) | 0;
    	    hi = (hi + Math.imul(ah8, bh8)) | 0;
    	    lo = (lo + Math.imul(al7, bl9)) | 0;
    	    mid = (mid + Math.imul(al7, bh9)) | 0;
    	    mid = (mid + Math.imul(ah7, bl9)) | 0;
    	    hi = (hi + Math.imul(ah7, bh9)) | 0;
    	    var w16 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
    	    c = (((hi + (mid >>> 13)) | 0) + (w16 >>> 26)) | 0;
    	    w16 &= 0x3ffffff;
    	    lo = Math.imul(al9, bl8);
    	    mid = Math.imul(al9, bh8);
    	    mid = (mid + Math.imul(ah9, bl8)) | 0;
    	    hi = Math.imul(ah9, bh8);
    	    lo = (lo + Math.imul(al8, bl9)) | 0;
    	    mid = (mid + Math.imul(al8, bh9)) | 0;
    	    mid = (mid + Math.imul(ah8, bl9)) | 0;
    	    hi = (hi + Math.imul(ah8, bh9)) | 0;
    	    var w17 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
    	    c = (((hi + (mid >>> 13)) | 0) + (w17 >>> 26)) | 0;
    	    w17 &= 0x3ffffff;
    	    lo = Math.imul(al9, bl9);
    	    mid = Math.imul(al9, bh9);
    	    mid = (mid + Math.imul(ah9, bl9)) | 0;
    	    hi = Math.imul(ah9, bh9);
    	    var w18 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
    	    c = (((hi + (mid >>> 13)) | 0) + (w18 >>> 26)) | 0;
    	    w18 &= 0x3ffffff;
    	    o[0] = w0;
    	    o[1] = w1;
    	    o[2] = w2;
    	    o[3] = w3;
    	    o[4] = w4;
    	    o[5] = w5;
    	    o[6] = w6;
    	    o[7] = w7;
    	    o[8] = w8;
    	    o[9] = w9;
    	    o[10] = w10;
    	    o[11] = w11;
    	    o[12] = w12;
    	    o[13] = w13;
    	    o[14] = w14;
    	    o[15] = w15;
    	    o[16] = w16;
    	    o[17] = w17;
    	    o[18] = w18;
    	    if (c !== 0) {
    	      o[19] = c;
    	      out.length++;
    	    }
    	    return out;
    	  };
    	  if (!Math.imul) {
    	    comb10MulTo = smallMulTo;
    	  }
    	  function bigMulTo (self, num, out) {
    	    out.negative = num.negative ^ self.negative;
    	    out.length = self.length + num.length;
    	    var carry = 0;
    	    var hncarry = 0;
    	    for (var k = 0; k < out.length - 1; k++) {
    	      var ncarry = hncarry;
    	      hncarry = 0;
    	      var rword = carry & 0x3ffffff;
    	      var maxJ = Math.min(k, num.length - 1);
    	      for (var j = Math.max(0, k - self.length + 1); j <= maxJ; j++) {
    	        var i = k - j;
    	        var a = self.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();
    	  }
    	  function jumboMulTo (self, num, out) {
    	    return bigMulTo(self, num, out);
    	  }
    	  BN.prototype.mulTo = function mulTo (num, out) {
    	    var res;
    	    var len = this.length + num.length;
    	    if (this.length === 10 && num.length === 10) {
    	      res = comb10MulTo(this, num, out);
    	    } else if (len < 63) {
    	      res = smallMulTo(this, num, out);
    	    } else if (len < 1024) {
    	      res = bigMulTo(this, num, out);
    	    } else {
    	      res = jumboMulTo(this, num, out);
    	    }
    	    return res;
    	  };
    	  BN.prototype.mul = function mul (num) {
    	    var out = new BN(null);
    	    out.words = new Array(this.length + num.length);
    	    return this.mulTo(num, out);
    	  };
    	  BN.prototype.mulf = function mulf (num) {
    	    var out = new BN(null);
    	    out.words = new Array(this.length + num.length);
    	    return jumboMulTo(this, num, out);
    	  };
    	  BN.prototype.imul = function imul (num) {
    	    return this.clone().mulTo(num, this);
    	  };
    	  BN.prototype.imuln = function imuln (num) {
    	    var isNegNum = num < 0;
    	    if (isNegNum) num = -num;
    	    assert(typeof num === 'number');
    	    assert(num < 0x4000000);
    	    var carry = 0;
    	    for (var i = 0; i < this.length; i++) {
    	      var w = (this.words[i] | 0) * num;
    	      var lo = (w & 0x3ffffff) + (carry & 0x3ffffff);
    	      carry >>= 26;
    	      carry += (w / 0x4000000) | 0;
    	      carry += lo >>> 26;
    	      this.words[i] = lo & 0x3ffffff;
    	    }
    	    if (carry !== 0) {
    	      this.words[i] = carry;
    	      this.length++;
    	    }
    	    return isNegNum ? this.ineg() : this;
    	  };
    	  BN.prototype.muln = function muln (num) {
    	    return this.clone().imuln(num);
    	  };
    	  BN.prototype.sqr = function sqr () {
    	    return this.mul(this);
    	  };
    	  BN.prototype.isqr = function isqr () {
    	    return this.imul(this.clone());
    	  };
    	  BN.prototype.pow = function pow (num) {
    	    var w = toBitArray(num);
    	    if (w.length === 0) return new BN(1);
    	    var res = this;
    	    for (var i = 0; i < w.length; i++, res = res.sqr()) {
    	      if (w[i] !== 0) break;
    	    }
    	    if (++i < w.length) {
    	      for (var q = res.sqr(); i < w.length; i++, q = q.sqr()) {
    	        if (w[i] === 0) continue;
    	        res = res.mul(q);
    	      }
    	    }
    	    return res;
    	  };
    	  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);
    	    var i;
    	    if (r !== 0) {
    	      var carry = 0;
    	      for (i = 0; i < this.length; i++) {
    	        var newCarry = this.words[i] & carryMask;
    	        var c = ((this.words[i] | 0) - newCarry) << r;
    	        this.words[i] = c | carry;
    	        carry = newCarry >>> (26 - r);
    	      }
    	      if (carry) {
    	        this.words[i] = carry;
    	        this.length++;
    	      }
    	    }
    	    if (s !== 0) {
    	      for (i = this.length - 1; i >= 0; i--) {
    	        this.words[i + s] = this.words[i];
    	      }
    	      for (i = 0; i < s; i++) {
    	        this.words[i] = 0;
    	      }
    	      this.length += s;
    	    }
    	    return this._strip();
    	  };
    	  BN.prototype.ishln = function ishln (bits) {
    	    assert(this.negative === 0);
    	    return this.iushln(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);
    	    if (maskedWords) {
    	      for (var i = 0; i < s; i++) {
    	        maskedWords.words[i] = this.words[i];
    	      }
    	      maskedWords.length = s;
    	    }
    	    if (s === 0) ; else if (this.length > s) {
    	      this.length -= s;
    	      for (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 (i = this.length - 1; i >= 0 && (carry !== 0 || i >= h); i--) {
    	      var word = this.words[i] | 0;
    	      this.words[i] = (carry << (26 - r)) | (word >>> r);
    	      carry = word & mask;
    	    }
    	    if (maskedWords && carry !== 0) {
    	      maskedWords.words[maskedWords.length++] = carry;
    	    }
    	    if (this.length === 0) {
    	      this.words[0] = 0;
    	      this.length = 1;
    	    }
    	    return this._strip();
    	  };
    	  BN.prototype.ishrn = function ishrn (bits, hint, extended) {
    	    assert(this.negative === 0);
    	    return this.iushrn(bits, hint, extended);
    	  };
    	  BN.prototype.shln = function shln (bits) {
    	    return this.clone().ishln(bits);
    	  };
    	  BN.prototype.ushln = function ushln (bits) {
    	    return this.clone().iushln(bits);
    	  };
    	  BN.prototype.shrn = function shrn (bits) {
    	    return this.clone().ishrn(bits);
    	  };
    	  BN.prototype.ushrn = function ushrn (bits) {
    	    return this.clone().iushrn(bits);
    	  };
    	  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;
    	    if (this.length <= s) return false;
    	    var w = this.words[s];
    	    return !!(w & q);
    	  };
    	  BN.prototype.imaskn = function imaskn (bits) {
    	    assert(typeof bits === 'number' && bits >= 0);
    	    var r = bits % 26;
    	    var s = (bits - r) / 26;
    	    assert(this.negative === 0, 'imaskn works only with positive numbers');
    	    if (this.length <= s) {
    	      return this;
    	    }
    	    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();
    	  };
    	  BN.prototype.maskn = function maskn (bits) {
    	    return this.clone().imaskn(bits);
    	  };
    	  BN.prototype.iaddn = function iaddn (num) {
    	    assert(typeof num === 'number');
    	    assert(num < 0x4000000);
    	    if (num < 0) return this.isubn(-num);
    	    if (this.negative !== 0) {
    	      if (this.length === 1 && (this.words[0] | 0) <= num) {
    	        this.words[0] = num - (this.words[0] | 0);
    	        this.negative = 0;
    	        return this;
    	      }
    	      this.negative = 0;
    	      this.isubn(num);
    	      this.negative = 1;
    	      return this;
    	    }
    	    return this._iaddn(num);
    	  };
    	  BN.prototype._iaddn = function _iaddn (num) {
    	    this.words[0] += num;
    	    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;
    	  };
    	  BN.prototype.isubn = function isubn (num) {
    	    assert(typeof num === 'number');
    	    assert(num < 0x4000000);
    	    if (num < 0) return this.iaddn(-num);
    	    if (this.negative !== 0) {
    	      this.negative = 0;
    	      this.iaddn(num);
    	      this.negative = 1;
    	      return this;
    	    }
    	    this.words[0] -= num;
    	    if (this.length === 1 && this.words[0] < 0) {
    	      this.words[0] = -this.words[0];
    	      this.negative = 1;
    	    } else {
    	      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.negative = 0;
    	    return this;
    	  };
    	  BN.prototype.abs = function abs () {
    	    return this.clone().iabs();
    	  };
    	  BN.prototype._ishlnsubmul = function _ishlnsubmul (num, mul, shift) {
    	    var len = num.length + shift;
    	    var i;
    	    this._expand(len);
    	    var w;
    	    var carry = 0;
    	    for (i = 0; i < num.length; i++) {
    	      w = (this.words[i + shift] | 0) + carry;
    	      var right = (num.words[i] | 0) * mul;
    	      w -= right & 0x3ffffff;
    	      carry = (w >> 26) - ((right / 0x4000000) | 0);
    	      this.words[i + shift] = w & 0x3ffffff;
    	    }
    	    for (; i < this.length - shift; i++) {
    	      w = (this.words[i + shift] | 0) + carry;
    	      carry = w >> 26;
    	      this.words[i + shift] = w & 0x3ffffff;
    	    }
    	    if (carry === 0) return this._strip();
    	    assert(carry === -1);
    	    carry = 0;
    	    for (i = 0; i < this.length; i++) {
    	      w = -(this.words[i] | 0) + carry;
    	      carry = w >> 26;
    	      this.words[i] = w & 0x3ffffff;
    	    }
    	    this.negative = 1;
    	    return this._strip();
    	  };
    	  BN.prototype._wordDiv = function _wordDiv (num, mode) {
    	    var shift = this.length - num.length;
    	    var a = this.clone();
    	    var b = num;
    	    var bhi = b.words[b.length - 1] | 0;
    	    var bhiBits = this._countBits(bhi);
    	    shift = 26 - bhiBits;
    	    if (shift !== 0) {
    	      b = b.ushln(shift);
    	      a.iushln(shift);
    	      bhi = b.words[b.length - 1] | 0;
    	    }
    	    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.negative === 0) {
    	      a = diff;
    	      if (q) {
    	        q.words[m] = 1;
    	      }
    	    }
    	    for (var j = m - 1; j >= 0; j--) {
    	      var qj = (a.words[b.length + j] | 0) * 0x4000000 +
    	        (a.words[b.length + j - 1] | 0);
    	      qj = Math.min((qj / bhi) | 0, 0x3ffffff);
    	      a._ishlnsubmul(b, qj, j);
    	      while (a.negative !== 0) {
    	        qj--;
    	        a.negative = 0;
    	        a._ishlnsubmul(b, 1, j);
    	        if (!a.isZero()) {
    	          a.negative ^= 1;
    	        }
    	      }
    	      if (q) {
    	        q.words[j] = qj;
    	      }
    	    }
    	    if (q) {
    	      q._strip();
    	    }
    	    a._strip();
    	    if (mode !== 'div' && shift !== 0) {
    	      a.iushrn(shift);
    	    }
    	    return {
    	      div: q || null,
    	      mod: a
    	    };
    	  };
    	  BN.prototype.divmod = function divmod (num, mode, positive) {
    	    assert(!num.isZero());
    	    if (this.isZero()) {
    	      return {
    	        div: new BN(0),
    	        mod: new BN(0)
    	      };
    	    }
    	    var div, mod, res;
    	    if (this.negative !== 0 && num.negative === 0) {
    	      res = this.neg().divmod(num, mode);
    	      if (mode !== 'mod') {
    	        div = res.div.neg();
    	      }
    	      if (mode !== 'div') {
    	        mod = res.mod.neg();
    	        if (positive && mod.negative !== 0) {
    	          mod.iadd(num);
    	        }
    	      }
    	      return {
    	        div: div,
    	        mod: mod
    	      };
    	    }
    	    if (this.negative === 0 && num.negative !== 0) {
    	      res = this.divmod(num.neg(), mode);
    	      if (mode !== 'mod') {
    	        div = res.div.neg();
    	      }
    	      return {
    	        div: div,
    	        mod: res.mod
    	      };
    	    }
    	    if ((this.negative & num.negative) !== 0) {
    	      res = this.neg().divmod(num.neg(), mode);
    	      if (mode !== 'div') {
    	        mod = res.mod.neg();
    	        if (positive && mod.negative !== 0) {
    	          mod.isub(num);
    	        }
    	      }
    	      return {
    	        div: res.div,
    	        mod: mod
    	      };
    	    }
    	    if (num.length > this.length || this.cmp(num) < 0) {
    	      return {
    	        div: new BN(0),
    	        mod: this
    	      };
    	    }
    	    if (num.length === 1) {
    	      if (mode === 'div') {
    	        return {
    	          div: this.divn(num.words[0]),
    	          mod: null
    	        };
    	      }
    	      if (mode === 'mod') {
    	        return {
    	          div: null,
    	          mod: new BN(this.modrn(num.words[0]))
    	        };
    	      }
    	      return {
    	        div: this.divn(num.words[0]),
    	        mod: new BN(this.modrn(num.words[0]))
    	      };
    	    }
    	    return this._wordDiv(num, mode);
    	  };
    	  BN.prototype.div = function div (num) {
    	    return this.divmod(num, 'div', false).div;
    	  };
    	  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;
    	  };
    	  BN.prototype.divRound = function divRound (num) {
    	    var dm = this.divmod(num);
    	    if (dm.mod.isZero()) return dm.div;
    	    var mod = dm.div.negative !== 0 ? dm.mod.isub(num) : dm.mod;
    	    var half = num.ushrn(1);
    	    var r2 = num.andln(1);
    	    var cmp = mod.cmp(half);
    	    if (cmp < 0 || (r2 === 1 && cmp === 0)) return dm.div;
    	    return dm.div.negative !== 0 ? dm.div.isubn(1) : dm.div.iaddn(1);
    	  };
    	  BN.prototype.modrn = function modrn (num) {
    	    var isNegNum = num < 0;
    	    if (isNegNum) num = -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] | 0)) % num;
    	    }
    	    return isNegNum ? -acc : acc;
    	  };
    	  BN.prototype.modn = function modn (num) {
    	    return this.modrn(num);
    	  };
    	  BN.prototype.idivn = function idivn (num) {
    	    var isNegNum = num < 0;
    	    if (isNegNum) num = -num;
    	    assert(num <= 0x3ffffff);
    	    var carry = 0;
    	    for (var i = this.length - 1; i >= 0; i--) {
    	      var w = (this.words[i] | 0) + carry * 0x4000000;
    	      this.words[i] = (w / num) | 0;
    	      carry = w % num;
    	    }
    	    this._strip();
    	    return isNegNum ? this.ineg() : this;
    	  };
    	  BN.prototype.divn = function divn (num) {
    	    return this.clone().idivn(num);
    	  };
    	  BN.prototype.egcd = function egcd (p) {
    	    assert(p.negative === 0);
    	    assert(!p.isZero());
    	    var x = this;
    	    var y = p.clone();
    	    if (x.negative !== 0) {
    	      x = x.umod(p);
    	    } else {
    	      x = x.clone();
    	    }
    	    var A = new BN(1);
    	    var B = new BN(0);
    	    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.isZero()) {
    	      for (var i = 0, im = 1; (x.words[0] & im) === 0 && i < 26; ++i, im <<= 1);
    	      if (i > 0) {
    	        x.iushrn(i);
    	        while (i-- > 0) {
    	          if (A.isOdd() || B.isOdd()) {
    	            A.iadd(yp);
    	            B.isub(xp);
    	          }
    	          A.iushrn(1);
    	          B.iushrn(1);
    	        }
    	      }
    	      for (var j = 0, jm = 1; (y.words[0] & jm) === 0 && j < 26; ++j, jm <<= 1);
    	      if (j > 0) {
    	        y.iushrn(j);
    	        while (j-- > 0) {
    	          if (C.isOdd() || D.isOdd()) {
    	            C.iadd(yp);
    	            D.isub(xp);
    	          }
    	          C.iushrn(1);
    	          D.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)
    	    };
    	  };
    	  BN.prototype._invmp = function _invmp (p) {
    	    assert(p.negative === 0);
    	    assert(!p.isZero());
    	    var a = this;
    	    var b = p.clone();
    	    if (a.negative !== 0) {
    	      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) {
    	      for (var i = 0, im = 1; (a.words[0] & im) === 0 && i < 26; ++i, im <<= 1);
    	      if (i > 0) {
    	        a.iushrn(i);
    	        while (i-- > 0) {
    	          if (x1.isOdd()) {
    	            x1.iadd(delta);
    	          }
    	          x1.iushrn(1);
    	        }
    	      }
    	      for (var j = 0, jm = 1; (b.words[0] & jm) === 0 && j < 26; ++j, jm <<= 1);
    	      if (j > 0) {
    	        b.iushrn(j);
    	        while (j-- > 0) {
    	          if (x2.isOdd()) {
    	            x2.iadd(delta);
    	          }
    	          x2.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.isZero()) return num.abs();
    	    if (num.isZero()) return this.abs();
    	    var a = this.clone();
    	    var b = num.clone();
    	    a.negative = 0;
    	    b.negative = 0;
    	    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) {
    	        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);
    	  };
    	  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;
    	  };
    	  BN.prototype.andln = function andln (num) {
    	    return this.words[0] & num;
    	  };
    	  BN.prototype.bincn = function bincn (bit) {
    	    assert(typeof bit === 'number');
    	    var r = bit % 26;
    	    var s = (bit - r) / 26;
    	    var q = 1 << r;
    	    if (this.length <= s) {
    	      this._expand(s + 1);
    	      this.words[s] |= q;
    	      return this;
    	    }
    	    var carry = q;
    	    for (var i = s; carry !== 0 && i < this.length; i++) {
    	      var w = this.words[i] | 0;
    	      w += carry;
    	      carry = w >>> 26;
    	      w &= 0x3ffffff;
    	      this.words[i] = w;
    	    }
    	    if (carry !== 0) {
    	      this.words[i] = carry;
    	      this.length++;
    	    }
    	    return this;
    	  };
    	  BN.prototype.isZero = function isZero () {
    	    return this.length === 1 && this.words[0] === 0;
    	  };
    	  BN.prototype.cmpn = function cmpn (num) {
    	    var negative = num < 0;
    	    if (this.negative !== 0 && !negative) return -1;
    	    if (this.negative === 0 && negative) return 1;
    	    this._strip();
    	    var res;
    	    if (this.length > 1) {
    	      res = 1;
    	    } else {
    	      if (negative) {
    	        num = -num;
    	      }
    	      assert(num <= 0x3ffffff, 'Number is too big');
    	      var w = this.words[0] | 0;
    	      res = w === num ? 0 : w < num ? -1 : 1;
    	    }
    	    if (this.negative !== 0) return -res | 0;
    	    return res;
    	  };
    	  BN.prototype.cmp = function cmp (num) {
    	    if (this.negative !== 0 && num.negative === 0) return -1;
    	    if (this.negative === 0 && num.negative !== 0) return 1;
    	    var res = this.ucmp(num);
    	    if (this.negative !== 0) return -res | 0;
    	    return res;
    	  };
    	  BN.prototype.ucmp = function ucmp (num) {
    	    if (this.length > num.length) return 1;
    	    if (this.length < num.length) return -1;
    	    var res = 0;
    	    for (var i = this.length - 1; i >= 0; i--) {
    	      var a = this.words[i] | 0;
    	      var b = num.words[i] | 0;
    	      if (a === b) continue;
    	      if (a < b) {
    	        res = -1;
    	      } else if (a > b) {
    	        res = 1;
    	      }
    	      break;
    	    }
    	    return res;
    	  };
    	  BN.prototype.gtn = function gtn (num) {
    	    return this.cmpn(num) === 1;
    	  };
    	  BN.prototype.gt = function gt (num) {
    	    return this.cmp(num) === 1;
    	  };
    	  BN.prototype.gten = function gten (num) {
    	    return this.cmpn(num) >= 0;
    	  };
    	  BN.prototype.gte = function gte (num) {
    	    return this.cmp(num) >= 0;
    	  };
    	  BN.prototype.ltn = function ltn (num) {
    	    return this.cmpn(num) === -1;
    	  };
    	  BN.prototype.lt = function lt (num) {
    	    return this.cmp(num) === -1;
    	  };
    	  BN.prototype.lten = function lten (num) {
    	    return this.cmpn(num) <= 0;
    	  };
    	  BN.prototype.lte = function lte (num) {
    	    return this.cmp(num) <= 0;
    	  };
    	  BN.prototype.eqn = function eqn (num) {
    	    return this.cmpn(num) === 0;
    	  };
    	  BN.prototype.eq = function eq (num) {
    	    return this.cmp(num) === 0;
    	  };
    	  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.negative === 0, '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.shl(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);
    	  };
    	  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);
    	  };
    	  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);
    	  };
    	  var primes = {
    	    k256: null,
    	    p224: null,
    	    p192: null,
    	    p25519: null
    	  };
    	  function MPrime (name, p) {
    	    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) {
    	    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 {
    	      if (r.strip !== undefined) {
    	        r.strip();
    	      } 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) {
    	    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;
    	    }
    	    var prev = input.words[9];
    	    output.words[output.length++] = prev & mask;
    	    for (i = 10; i < input.length; i++) {
    	      var next = input.words[i] | 0;
    	      input.words[i - 10] = ((next & mask) << 4) | (prev >>> 22);
    	      prev = next;
    	    }
    	    prev >>>= 22;
    	    input.words[i - 10] = prev;
    	    if (prev === 0 && input.length > 10) {
    	      input.length -= 10;
    	    } else {
    	      input.length -= 9;
    	    }
    	  };
    	  K256.prototype.imulK = function imulK (num) {
    	    num.words[num.length] = 0;
    	    num.words[num.length + 1] = 0;
    	    num.length += 2;
    	    var lo = 0;
    	    for (var i = 0; i < num.length; i++) {
    	      var w = num.words[i] | 0;
    	      lo += w * 0x3d1;
    	      num.words[i] = lo & 0x3ffffff;
    	      lo = w * 0x40 + ((lo / 0x4000000) | 0);
    	    }
    	    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 () {
    	    MPrime.call(
    	      this,
    	      '25519',
    	      '7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed');
    	  }
    	  inherits(P25519, MPrime);
    	  P25519.prototype.imulK = function imulK (num) {
    	    var carry = 0;
    	    for (var i = 0; i < num.length; i++) {
    	      var hi = (num.words[i] | 0) * 0x13 + carry;
    	      var lo = hi & 0x3ffffff;
    	      hi >>>= 26;
    	      num.words[i] = lo;
    	      carry = hi;
    	    }
    	    if (carry !== 0) {
    	      num.words[num.length++] = carry;
    	    }
    	    return num;
    	  };
    	  BN._prime = function prime (name) {
    	    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;
    	  };
    	  function Red (m) {
    	    if (typeof m === 'string') {
    	      var prime = BN._prime(m);
    	      this.m = prime.p;
    	      this.prime = prime;
    	    } else {
    	      assert(m.gtn(1), 'modulus must be greater than 1');
    	      this.m = m;
    	      this.prime = null;
    	    }
    	  }
    	  Red.prototype._verify1 = function _verify1 (a) {
    	    assert(a.negative === 0, 'red works only with positives');
    	    assert(a.red, 'red works only with red numbers');
    	  };
    	  Red.prototype._verify2 = function _verify2 (a, b) {
    	    assert((a.negative | b.negative) === 0, '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);
    	    move(a, a.umod(this.m)._forceRed(this));
    	    return a;
    	  };
    	  Red.prototype.neg = function neg (a) {
    	    if (a.isZero()) {
    	      return a.clone();
    	    }
    	    return this.m.sub(a)._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.clone());
    	  };
    	  Red.prototype.sqr = function sqr (a) {
    	    return this.mul(a, a);
    	  };
    	  Red.prototype.sqrt = function sqrt (a) {
    	    if (a.isZero()) return a.clone();
    	    var mod3 = this.m.andln(3);
    	    assert(mod3 % 2 === 1);
    	    if (mod3 === 3) {
    	      var pow = this.m.add(new BN(1)).iushrn(2);
    	      return this.pow(a, pow);
    	    }
    	    var q = this.m.subn(1);
    	    var s = 0;
    	    while (!q.isZero() && q.andln(1) === 0) {
    	      s++;
    	      q.iushrn(1);
    	    }
    	    assert(!q.isZero());
    	    var one = new BN(1).toRed(this);
    	    var nOne = one.redNeg();
    	    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.negative !== 0) {
    	      inv.negative = 0;
    	      return this.imod(inv).redNeg();
    	    } else {
    	      return this.imod(inv);
    	    }
    	  };
    	  Red.prototype.pow = function pow (a, num) {
    	    if (num.isZero()) return new BN(1).toRed(this);
    	    if (num.cmpn(1) === 0) return a.clone();
    	    var windowSize = 4;
    	    var wnd = new Array(1 << windowSize);
    	    wnd[0] = new BN(1).toRed(this);
    	    wnd[1] = a;
    	    for (var i = 2; i < wnd.length; i++) {
    	      wnd[i] = this.mul(wnd[i - 1], a);
    	    }
    	    var res = wnd[0];
    	    var current = 0;
    	    var currentLen = 0;
    	    var start = num.bitLength() % 26;
    	    if (start === 0) {
    	      start = 26;
    	    }
    	    for (i = num.length - 1; i >= 0; i--) {
    	      var word = num.words[i];
    	      for (var j = start - 1; j >= 0; j--) {
    	        var bit = (word >> j) & 1;
    	        if (res !== wnd[0]) {
    	          res = this.sqr(res);
    	        }
    	        if (bit === 0 && current === 0) {
    	          currentLen = 0;
    	          continue;
    	        }
    	        current <<= 1;
    	        current |= bit;
    	        currentLen++;
    	        if (currentLen !== windowSize && (i !== 0 || j !== 0)) continue;
    	        res = this.mul(res, wnd[current]);
    	        currentLen = 0;
    	        current = 0;
    	      }
    	      start = 26;
    	    }
    	    return res;
    	  };
    	  Red.prototype.convertTo = function convertTo (num) {
    	    var r = num.umod(this.m);
    	    return r === num ? r.clone() : r;
    	  };
    	  Red.prototype.convertFrom = function convertFrom (num) {
    	    var res = num.clone();
    	    res.red = null;
    	    return res;
    	  };
    	  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.isZero() || b.isZero()) {
    	      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.isZero() || b.isZero()) 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) {
    	    var res = this.imod(a._invmp(this.m).mul(this.r2));
    	    return res._forceRed(this);
    	  };
    	})(module, commonjsGlobal);
    } (bn));
    var bnExports = bn.exports;
    const BN = getDefaultExportFromCjs(bnExports);

    function isBn(value) {
        return BN.isBN(value);
    }

    const REGEX_HEX_PREFIXED = /^0x[\da-fA-F]+$/;
    const REGEX_HEX_NOPREFIX = /^[\da-fA-F]+$/;
    function isHex(value, bitLength = -1, ignoreLength) {
        return (typeof value === 'string' && (value === '0x' ||
            REGEX_HEX_PREFIXED.test(value))) && (bitLength === -1
            ? (ignoreLength || (value.length % 2 === 0))
            : (value.length === (2 + Math.ceil(bitLength / 4))));
    }

    function isObject(value) {
        return !!value && typeof value === 'object';
    }

    function isOn(...fns) {
        return (value) => (isObject(value) || isFunction(value)) &&
            fns.every((f) => isFunction(value[f]));
    }
    function isOnFunction(...fns) {
        return (value) => isFunction(value) &&
            fns.every((f) => isFunction(value[f]));
    }
    function isOnObject(...fns) {
        return (value) => isObject(value) &&
            fns.every((f) => isFunction(value[f]));
    }

    const isToBigInt =  isOn('toBigInt');

    const isToBn =  isOn('toBn');

    function nToBigInt(value) {
        return typeof value === 'bigint'
            ? value
            : !value
                ? BigInt(0)
                : isHex(value)
                    ? hexToBigInt(value.toString())
                    : isBn(value)
                        ? BigInt(value.toString())
                        : isToBigInt(value)
                            ? value.toBigInt()
                            : isToBn(value)
                                ? BigInt(value.toBn().toString())
                                : BigInt(value);
    }

    function nSqrt(value) {
        const n = nToBigInt(value);
        if (n < _0n) {
            throw new Error('square root of negative numbers is not supported');
        }
        if (n <= _2pow53n) {
            return BigInt(~~Math.sqrt(Number(n)));
        }
        let x0 = _sqrt2pow53n;
        while (true) {
            const x1 = ((n / x0) + x0) >> _1n;
            if (x0 === x1 || (x0 === (x1 - _1n))) {
                return x0;
            }
            x0 = x1;
        }
    }

    const hasBigInt = typeof BigInt === 'function' && typeof BigInt.asIntN === 'function';
    const hasCjs = typeof require === 'function' && typeof module !== 'undefined';
    const hasDirname = typeof __dirname !== 'undefined';
    const hasEsm = !hasCjs;
    const hasWasm = typeof WebAssembly !== 'undefined';
    const hasBuffer = typeof xglobal.Buffer === 'function' && typeof xglobal.Buffer.isBuffer === 'function';
    const hasProcess = typeof xglobal.process === 'object';

    function isBuffer(value) {
        return hasBuffer && !!value && isFunction(value.readDoubleLE) && xglobal.Buffer.isBuffer(value);
    }

    function isU8a(value) {
        return (((value && value.constructor) === Uint8Array) ||
            value instanceof Uint8Array);
    }

    var browser$1 = {};

    const require$$0 = /*@__PURE__*/getAugmentedNamespace(build);

    var fallback$1 = {};

    Object.defineProperty(fallback$1, "__esModule", { value: true });
    fallback$1.TextEncoder = void 0;
    class TextEncoder {
        encode(value) {
            const count = value.length;
            const u8a = new Uint8Array(count);
            for (let i = 0; i < count; i++) {
                u8a[i] = value.charCodeAt(i);
            }
            return u8a;
        }
    }
    fallback$1.TextEncoder = TextEncoder;

    var packageInfo$1 = {};

    Object.defineProperty(packageInfo$1, "__esModule", { value: true });
    packageInfo$1.packageInfo = void 0;
    packageInfo$1.packageInfo = { name: '@polkadot/x-textencoder', path: typeof __dirname === 'string' ? __dirname : 'auto', type: 'cjs', version: '12.6.1' };

    (function (exports) {
    	Object.defineProperty(exports, "__esModule", { value: true });
    	exports.TextEncoder = exports.packageInfo = void 0;
    	const x_global_1 = require$$0;
    	const fallback_js_1 = fallback$1;
    	var packageInfo_js_1 = packageInfo$1;
    	Object.defineProperty(exports, "packageInfo", { enumerable: true, get: function () { return packageInfo_js_1.packageInfo; } });
    	exports.TextEncoder = (0, x_global_1.extractGlobal)('TextEncoder', fallback_js_1.TextEncoder);
    } (browser$1));
    getDefaultExportFromCjs(browser$1);

    const encoder = new browser$1.TextEncoder();
    function stringToU8a(value) {
        return value
            ? encoder.encode(value.toString())
            : new Uint8Array();
    }

    function u8aToU8a(value) {
        return isU8a(value)
            ? isBuffer(value)
                ? new Uint8Array(value)
                : value
            : isHex(value)
                ? hexToU8a(value)
                : Array.isArray(value)
                    ? new Uint8Array(value)
                    : stringToU8a(value);
    }

    function u8aCmp(a, b) {
        const u8aa = u8aToU8a(a);
        const u8ab = u8aToU8a(b);
        let i = 0;
        while (true) {
            const overA = i >= u8aa.length;
            const overB = i >= u8ab.length;
            if (overA && overB) {
                return 0;
            }
            else if (overA) {
                return -1;
            }
            else if (overB) {
                return 1;
            }
            else if (u8aa[i] !== u8ab[i]) {
                return u8aa[i] > u8ab[i]
                    ? 1
                    : -1;
            }
            i++;
        }
    }

    function u8aConcat(...list) {
        const count = list.length;
        const u8as = new Array(count);
        let length = 0;
        for (let i = 0; i < count; i++) {
            u8as[i] = u8aToU8a(list[i]);
            length += u8as[i].length;
        }
        return u8aConcatStrict(u8as, length);
    }
    function u8aConcatStrict(u8as, length = 0) {
        const count = u8as.length;
        let offset = 0;
        if (!length) {
            for (let i = 0; i < count; i++) {
                length += u8as[i].length;
            }
        }
        const result = new Uint8Array(length);
        for (let i = 0; i < count; i++) {
            result.set(u8as[i], offset);
            offset += u8as[i].length;
        }
        return result;
    }

    function u8aEmpty(value) {
        const len = value.length | 0;
        for (let i = 0; i < len; i++) {
            if (value[i] | 0) {
                return false;
            }
        }
        return true;
    }

    function u8aEq(a, b) {
        const u8aa = u8aToU8a(a);
        const u8ab = u8aToU8a(b);
        if (u8aa.length === u8ab.length) {
            const dvA = new DataView(u8aa.buffer, u8aa.byteOffset);
            const dvB = new DataView(u8ab.buffer, u8ab.byteOffset);
            const mod = (u8aa.length % 4) | 0;
            const length = (u8aa.length - mod) | 0;
            for (let i = 0; i < length; i += 4) {
                if (dvA.getUint32(i) !== dvB.getUint32(i)) {
                    return false;
                }
            }
            for (let i = length, count = u8aa.length; i < count; i++) {
                if (u8aa[i] !== u8ab[i]) {
                    return false;
                }
            }
            return true;
        }
        return false;
    }

    function u8aFixLength(value, bitLength = -1, atStart = false) {
        const byteLength = Math.ceil(bitLength / 8);
        if (bitLength === -1 || value.length === byteLength) {
            return value;
        }
        else if (value.length > byteLength) {
            return value.subarray(0, byteLength);
        }
        const result = new Uint8Array(byteLength);
        result.set(value, atStart ? 0 : (byteLength - value.length));
        return result;
    }

    function u8aSorted(u8as) {
        return u8as.sort(u8aCmp);
    }

    function u8aToBn(value, { isLe = true, isNegative = false } = {}) {
        if (!isLe) {
            value = value.slice().reverse();
        }
        const count = value.length;
        if (isNegative && count && (value[count - 1] & 0x80)) {
            switch (count) {
                case 0:
                    return new BN(0);
                case 1:
                    return new BN(((value[0] ^ 255) * -1) - 1);
                case 2:
                    return new BN((((value[0] + (value[1] << 8)) ^ 65535) * -1) - 1);
                case 3:
                    return new BN((((value[0] + (value[1] << 8) + (value[2] << 16)) ^ 16777215) * -1) - 1);
                case 4:
                    return new BN((((value[0] + (value[1] << 8) + (value[2] << 16) + (value[3] * 16777216)) ^ 4294967295) * -1) - 1);
                case 5:
                    return new BN(((((value[0] + (value[1] << 8) + (value[2] << 16) + (value[3] * 16777216)) ^ 4294967295) + ((value[4] ^ 0xff) * 4294967296)) * -1) - 1);
                case 6:
                    return new BN(((((value[0] + (value[1] << 8) + (value[2] << 16) + (value[3] * 16777216)) ^ 4294967295) + (((value[4] + (value[5] << 8)) ^ 65535) * 4294967296)) * -1) - 1);
                default:
                    return new BN(value, 'le').fromTwos(count * 8);
            }
        }
        switch (count) {
            case 0:
                return new BN(0);
            case 1:
                return new BN(value[0]);
            case 2:
                return new BN(value[0] + (value[1] << 8));
            case 3:
                return new BN(value[0] + (value[1] << 8) + (value[2] << 16));
            case 4:
                return new BN(value[0] + (value[1] << 8) + (value[2] << 16) + (value[3] * 16777216));
            case 5:
                return new BN(value[0] + (value[1] << 8) + (value[2] << 16) + ((value[3] + (value[4] << 8)) * 16777216));
            case 6:
                return new BN(value[0] + (value[1] << 8) + (value[2] << 16) + ((value[3] + (value[4] << 8) + (value[5] << 16)) * 16777216));
            default:
                return new BN(value, 'le');
        }
    }

    function u8aToBuffer(value) {
        return hasBuffer
            ? xglobal.Buffer.from(value || [])
            : new Uint8Array(value || []);
    }

    function u8aToFloat(value, { bitLength = 32, isLe = true } = {}) {
        if (bitLength !== 32 && bitLength !== 64) {
            throw new Error('Invalid bitLength provided, expected 32 or 64');
        }
        else if (value.length < (bitLength / 8)) {
            throw new Error(`Invalid input buffer provided, expected at least ${bitLength / 8} bytes, found ${value.length}`);
        }
        const dv = new DataView(value.buffer, value.byteOffset);
        return bitLength === 32
            ? dv.getFloat32(0, isLe)
            : dv.getFloat64(0, isLe);
    }

    const U8 = new Array(256);
    const U16 = new Array(256 * 256);
    for (let n = 0; n < 256; n++) {
        U8[n] = n.toString(16).padStart(2, '0');
    }
    for (let i = 0; i < 256; i++) {
        const s = i << 8;
        for (let j = 0; j < 256; j++) {
            U16[s | j] = U8[i] + U8[j];
        }
    }
    function hex(value, result) {
        const mod = (value.length % 2) | 0;
        const length = (value.length - mod) | 0;
        for (let i = 0; i < length; i += 2) {
            result += U16[(value[i] << 8) | value[i + 1]];
        }
        if (mod) {
            result += U8[value[length] | 0];
        }
        return result;
    }
    function u8aToHex(value, bitLength = -1, isPrefixed = true) {
        const empty = isPrefixed
            ? '0x'
            : '';
        if (!value?.length) {
            return empty;
        }
        else if (bitLength > 0) {
            const length = Math.ceil(bitLength / 8);
            if (value.length > length) {
                return `${hex(value.subarray(0, length / 2), empty)}…${hex(value.subarray(value.length - length / 2), '')}`;
            }
        }
        return hex(value, empty);
    }

    function u8aToNumber(value, { isLe = true, isNegative = false } = {}) {
        if (!isLe) {
            value = value.slice().reverse();
        }
        const count = value.length;
        if (isNegative && count && (value[count - 1] & 0x80)) {
            switch (count) {
                case 0:
                    return 0;
                case 1:
                    return (((value[0] ^ 255) * -1) - 1);
                case 2:
                    return ((((value[0] + (value[1] << 8)) ^ 65535) * -1) - 1);
                case 3:
                    return ((((value[0] + (value[1] << 8) + (value[2] << 16)) ^ 16777215) * -1) - 1);
                case 4:
                    return ((((value[0] + (value[1] << 8) + (value[2] << 16) + (value[3] * 16777216)) ^ 4294967295) * -1) - 1);
                case 5:
                    return (((((value[0] + (value[1] << 8) + (value[2] << 16) + (value[3] * 16777216)) ^ 4294967295) + ((value[4] ^ 0xff) * 4294967296)) * -1) - 1);
                case 6:
                    return (((((value[0] + (value[1] << 8) + (value[2] << 16) + (value[3] * 16777216)) ^ 4294967295) + (((value[4] + (value[5] << 8)) ^ 65535) * 4294967296)) * -1) - 1);
                default:
                    throw new Error('Value more than 48-bits cannot be reliably converted');
            }
        }
        switch (count) {
            case 0:
                return 0;
            case 1:
                return value[0];
            case 2:
                return value[0] + (value[1] << 8);
            case 3:
                return value[0] + (value[1] << 8) + (value[2] << 16);
            case 4:
                return value[0] + (value[1] << 8) + (value[2] << 16) + (value[3] * 16777216);
            case 5:
                return value[0] + (value[1] << 8) + (value[2] << 16) + ((value[3] + (value[4] << 8)) * 16777216);
            case 6:
                return value[0] + (value[1] << 8) + (value[2] << 16) + ((value[3] + (value[4] << 8) + (value[5] << 16)) * 16777216);
            default:
                throw new Error('Value more than 48-bits cannot be reliably converted');
        }
    }

    var browser = {};

    var fallback = {};

    Object.defineProperty(fallback, "__esModule", { value: true });
    fallback.TextDecoder = void 0;
    class TextDecoder {
        __encoding;
        constructor(encoding) {
            this.__encoding = encoding;
        }
        decode(value) {
            let result = '';
            for (let i = 0, count = value.length; i < count; i++) {
                result += String.fromCharCode(value[i]);
            }
            return result;
        }
    }
    fallback.TextDecoder = TextDecoder;

    var packageInfo = {};

    Object.defineProperty(packageInfo, "__esModule", { value: true });
    packageInfo.packageInfo = void 0;
    packageInfo.packageInfo = { name: '@polkadot/x-textdecoder', path: typeof __dirname === 'string' ? __dirname : 'auto', type: 'cjs', version: '12.6.1' };

    (function (exports) {
    	Object.defineProperty(exports, "__esModule", { value: true });
    	exports.TextDecoder = exports.packageInfo = void 0;
    	const x_global_1 = require$$0;
    	const fallback_js_1 = fallback;
    	var packageInfo_js_1 = packageInfo;
    	Object.defineProperty(exports, "packageInfo", { enumerable: true, get: function () { return packageInfo_js_1.packageInfo; } });
    	exports.TextDecoder = (0, x_global_1.extractGlobal)('TextDecoder', fallback_js_1.TextDecoder);
    } (browser));
    getDefaultExportFromCjs(browser);

    const decoder = new browser.TextDecoder('utf-8');
    function u8aToString(value) {
        return value
            ? decoder.decode(value)
            : '';
    }

    const U8A_WRAP_ETHEREUM =  u8aToU8a('\x19Ethereum Signed Message:\n');
    const U8A_WRAP_PREFIX =  u8aToU8a('<Bytes>');
    const U8A_WRAP_POSTFIX =  u8aToU8a('</Bytes>');
    const WRAP_LEN = U8A_WRAP_PREFIX.length + U8A_WRAP_POSTFIX.length;
    function u8aIsWrapped(u8a, withEthereum) {
        return ((u8a.length >= WRAP_LEN &&
            u8aEq(u8a.subarray(0, U8A_WRAP_PREFIX.length), U8A_WRAP_PREFIX) &&
            u8aEq(u8a.slice(-U8A_WRAP_POSTFIX.length), U8A_WRAP_POSTFIX)) ||
            (withEthereum &&
                u8a.length >= U8A_WRAP_ETHEREUM.length &&
                u8aEq(u8a.subarray(0, U8A_WRAP_ETHEREUM.length), U8A_WRAP_ETHEREUM)));
    }
    function u8aUnwrapBytes(bytes) {
        const u8a = u8aToU8a(bytes);
        return u8aIsWrapped(u8a, false)
            ? u8a.subarray(U8A_WRAP_PREFIX.length, u8a.length - U8A_WRAP_POSTFIX.length)
            : u8a;
    }
    function u8aWrapBytes(bytes) {
        const u8a = u8aToU8a(bytes);
        return u8aIsWrapped(u8a, true)
            ? u8a
            : u8aConcatStrict([U8A_WRAP_PREFIX, u8a, U8A_WRAP_POSTFIX]);
    }

    const DIV = BigInt(256);
    const NEG_MASK = BigInt(0xff);
    function toU8a(value, isLe, isNegative) {
        const arr = [];
        const withSigned = isNegative && (value < _0n);
        if (withSigned) {
            value = (value + _1n) * -_1n;
        }
        while (value !== _0n) {
            const mod = value % DIV;
            const val = Number(withSigned
                ? mod ^ NEG_MASK
                : mod);
            if (isLe) {
                arr.push(val);
            }
            else {
                arr.unshift(val);
            }
            value = (value - mod) / DIV;
        }
        return Uint8Array.from(arr);
    }
    function nToU8a(value, { bitLength = -1, isLe = true, isNegative = false } = {}) {
        const valueBi = nToBigInt(value);
        if (valueBi === _0n) {
            return bitLength === -1
                ? new Uint8Array(1)
                : new Uint8Array(Math.ceil((bitLength || 0) / 8));
        }
        const u8a = toU8a(valueBi, isLe, isNegative);
        if (bitLength === -1) {
            return u8a;
        }
        const byteLength = Math.ceil((bitLength || 0) / 8);
        const output = new Uint8Array(byteLength);
        if (isNegative) {
            output.fill(0xff);
        }
        output.set(u8a, isLe ? 0 : byteLength - u8a.length);
        return output;
    }

    function nToHex(value, { bitLength = -1, isLe = false, isNegative = false } = {}) {
        return u8aToHex(nToU8a(value || 0, { bitLength, isLe, isNegative }));
    }

    function hexStripPrefix(value) {
        if (!value || value === '0x') {
            return '';
        }
        else if (REGEX_HEX_PREFIXED.test(value)) {
            return value.substring(2);
        }
        else if (REGEX_HEX_NOPREFIX.test(value)) {
            return value;
        }
        throw new Error(`Expected hex value to convert, found '${value}'`);
    }

    function hexToBn(value, { isLe = false, isNegative = false } = {}) {
        if (!value || value === '0x') {
            return new BN(0);
        }
        const stripped = hexStripPrefix(value);
        const bn = new BN(stripped, 16, isLe ? 'le' : 'be');
        return isNegative
            ? bn.fromTwos(stripped.length * 4)
            : bn;
    }

    const bnMax =  createCmp((a, b) => a.gt(b));
    const bnMin =  createCmp((a, b) => a.lt(b));

    const BN_ZERO =  new BN(0);
    const BN_ONE =  new BN(1);
    const BN_TWO =  new BN(2);
    const BN_THREE =  new BN(3);
    const BN_FOUR =  new BN(4);
    const BN_FIVE =  new BN(5);
    const BN_SIX =  new BN(6);
    const BN_SEVEN =  new BN(7);
    const BN_EIGHT =  new BN(8);
    const BN_NINE =  new BN(9);
    const BN_TEN =  new BN(10);
    const BN_HUNDRED =  new BN(100);
    const BN_THOUSAND =  new BN(1000);
    const BN_MILLION =  new BN(1000000);
    const BN_BILLION =  new BN(1000000000);
    const BN_QUINTILL = BN_BILLION.mul(BN_BILLION);
    const BN_MAX_INTEGER =  new BN(Number.MAX_SAFE_INTEGER);
    const BN_SQRT_MAX_INTEGER =  new BN(94906265);

    function isBigInt(value) {
        return typeof value === 'bigint';
    }

    function bnToBn(value) {
        return value
            ? BN.isBN(value)
                ? value
                : isHex(value)
                    ? hexToBn(value.toString())
                    : isBigInt(value)
                        ? new BN(value.toString())
                        : isToBn(value)
                            ? value.toBn()
                            : isToBigInt(value)
                                ? new BN(value.toBigInt().toString())
                                : new BN(value)
            : new BN(0);
    }

    function bnSqrt(value) {
        const n = bnToBn(value);
        if (n.isNeg()) {
            throw new Error('square root of negative numbers is not supported');
        }
        if (n.lte(BN_MAX_INTEGER)) {
            return new BN(~~Math.sqrt(n.toNumber()));
        }
        let x0 = BN_SQRT_MAX_INTEGER.clone();
        while (true) {
            const x1 = n.div(x0).iadd(x0).ishrn(1);
            if (x0.eq(x1) || x0.eq(x1.sub(BN_ONE))) {
                return x0;
            }
            x0 = x1;
        }
    }

    const DEFAULT_OPTS = { bitLength: -1, isLe: true, isNegative: false };
    function bnToU8a(value, { bitLength = -1, isLe = true, isNegative = false } = DEFAULT_OPTS) {
        const valueBn = bnToBn(value);
        const byteLength = bitLength === -1
            ? Math.ceil(valueBn.bitLength() / 8)
            : Math.ceil((bitLength || 0) / 8);
        if (!value) {
            return bitLength === -1
                ? new Uint8Array(1)
                : new Uint8Array(byteLength);
        }
        const output = new Uint8Array(byteLength);
        const bn = isNegative
            ? valueBn.toTwos(byteLength * 8)
            : valueBn;
        output.set(bn.toArray(isLe ? 'le' : 'be', byteLength), 0);
        return output;
    }

    function bnToHex(value, { bitLength = -1, isLe = false, isNegative = false } = {}) {
        return u8aToHex(bnToU8a(value, { bitLength, isLe, isNegative }));
    }

    function bufferToU8a(buffer) {
        return new Uint8Array(buffer || []);
    }

    const MAX_U8 = BN_TWO.pow(new BN(8 - 2)).isub(BN_ONE);
    const MAX_U16 = BN_TWO.pow(new BN(16 - 2)).isub(BN_ONE);
    const MAX_U32 = BN_TWO.pow(new BN(32 - 2)).isub(BN_ONE);
    const BL_16 = { bitLength: 16 };
    const BL_32 = { bitLength: 32 };
    function compactToU8a(value) {
        const bn = bnToBn(value);
        if (bn.lte(MAX_U8)) {
            return new Uint8Array([bn.toNumber() << 2]);
        }
        else if (bn.lte(MAX_U16)) {
            return bnToU8a(bn.shln(2).iadd(BN_ONE), BL_16);
        }
        else if (bn.lte(MAX_U32)) {
            return bnToU8a(bn.shln(2).iadd(BN_TWO), BL_32);
        }
        const u8a = bnToU8a(bn);
        let length = u8a.length;
        while (u8a[length - 1] === 0) {
            length--;
        }
        if (length < 4) {
            throw new Error('Invalid length, previous checks match anything less than 2^30');
        }
        return u8aConcatStrict([
            new Uint8Array([((length - 4) << 2) + 0b11]),
            u8a.subarray(0, length)
        ]);
    }

    function compactAddLength(input) {
        return u8aConcatStrict([
            compactToU8a(input.length),
            input
        ]);
    }

    function compactFromU8a(input) {
        const u8a = u8aToU8a(input);
        switch (u8a[0] & 0b11) {
            case 0b00:
                return [1, new BN(u8a[0] >>> 2)];
            case 0b01:
                return [2, new BN((u8a[0] + (u8a[1] << 8)) >>> 2)];
            case 0b10:
                return [4, new BN((u8a[0] + (u8a[1] << 8) + (u8a[2] << 16) + (u8a[3] * 16777216)) >>> 2)];
            default: {
                const offset = (u8a[0] >>> 2) + 5;
                switch (offset) {
                    case 5:
                        return [5, new BN(u8a[1] + (u8a[2] << 8) + (u8a[3] << 16) + (u8a[4] * 16777216))];
                    case 6:
                        return [6, new BN(u8a[1] + (u8a[2] << 8) + (u8a[3] << 16) + ((u8a[4] + (u8a[5] << 8)) * 16777216))];
                    case 7:
                        return [7, new BN(u8a[1] + (u8a[2] << 8) + (u8a[3] << 16) + ((u8a[4] + (u8a[5] << 8) + (u8a[6] << 16)) * 16777216))];
                    default:
                        return [offset, u8aToBn(u8a.subarray(1, offset))];
                }
            }
        }
    }
    function compactFromU8aLim(u8a) {
        switch (u8a[0] & 0b11) {
            case 0b00:
                return [1, u8a[0] >>> 2];
            case 0b01:
                return [2, (u8a[0] + (u8a[1] << 8)) >>> 2];
            case 0b10:
                return [4, (u8a[0] + (u8a[1] << 8) + (u8a[2] << 16) + (u8a[3] * 16777216)) >>> 2];
            default: {
                switch ((u8a[0] >>> 2) + 5) {
                    case 5:
                        return [5, u8a[1] + (u8a[2] << 8) + (u8a[3] << 16) + (u8a[4] * 16777216)];
                    case 6:
                        return [6, u8a[1] + (u8a[2] << 8) + (u8a[3] << 16) + ((u8a[4] + (u8a[5] << 8)) * 16777216)];
                    case 7:
                        return [7, u8a[1] + (u8a[2] << 8) + (u8a[3] << 16) + ((u8a[4] + (u8a[5] << 8) + (u8a[6] << 16)) * 16777216)];
                    default:
                        throw new Error('Compact input is > Number.MAX_SAFE_INTEGER');
                }
            }
        }
    }

    function compactStripLength(input) {
        const [offset, length] = compactFromU8a(input);
        const total = offset + length.toNumber();
        return [
            total,
            input.subarray(offset, total)
        ];
    }

    const MIN_MS = 60 * 1000;
    const HR_MS = MIN_MS * 60;
    const DAY_MS = HR_MS * 24;
    const ZERO = { days: 0, hours: 0, milliseconds: 0, minutes: 0, seconds: 0 };
    function add(a, b) {
        return {
            days: (a.days || 0) + b.days,
            hours: (a.hours || 0) + b.hours,
            milliseconds: (a.milliseconds || 0) + b.milliseconds,
            minutes: (a.minutes || 0) + b.minutes,
            seconds: (a.seconds || 0) + b.seconds
        };
    }
    function extractSecs(ms) {
        const s = ms / 1000;
        if (s < 60) {
            const seconds = ~~s;
            return add({ seconds }, extractTime(ms - (seconds * 1000)));
        }
        const m = s / 60;
        if (m < 60) {
            const minutes = ~~m;
            return add({ minutes }, extractTime(ms - (minutes * MIN_MS)));
        }
        const h = m / 60;
        if (h < 24) {
            const hours = ~~h;
            return add({ hours }, extractTime(ms - (hours * HR_MS)));
        }
        const days = ~~(h / 24);
        return add({ days }, extractTime(ms - (days * DAY_MS)));
    }
    function extractTime(milliseconds) {
        return !milliseconds
            ? ZERO
            : milliseconds < 1000
                ? add({ milliseconds }, ZERO)
                : extractSecs(milliseconds);
    }

    function floatToU8a(value = 0.0, { bitLength = 32, isLe = true } = {}) {
        if (bitLength !== 32 && bitLength !== 64) {
            throw new Error('Invalid bitLength provided, expected 32 or 64');
        }
        const result = new Uint8Array(bitLength / 8);
        const dv = new DataView(result.buffer, result.byteOffset);
        if (bitLength === 32) {
            dv.setFloat32(0, Number(value), isLe);
        }
        else {
            dv.setFloat64(0, Number(value), isLe);
        }
        return result;
    }

    function isBoolean(value) {
        return typeof value === 'boolean';
    }

    const NUMBER_REGEX = new RegExp('(\\d+?)(?=(\\d{3})+(?!\\d)|$)', 'g');
    function formatDecimal(value, separator = ',') {
        const isNegative = value[0].startsWith('-');
        const matched = isNegative
            ? value.substring(1).match(NUMBER_REGEX)
            : value.match(NUMBER_REGEX);
        return matched
            ? `${isNegative ? '-' : ''}${matched.join(separator)}`
            : value;
    }

    function getSeparator(locale) {
        return {
            decimal: (0.1).toLocaleString(locale).substring(1, 2),
            thousand: (1000).toLocaleString(locale).substring(1, 2)
        };
    }

    const SI_MID = 8;
    const SI = [
        { power: -24, text: 'yocto', value: 'y' },
        { power: -21, text: 'zepto', value: 'z' },
        { power: -18, text: 'atto', value: 'a' },
        { power: -15, text: 'femto', value: 'f' },
        { power: -12, text: 'pico', value: 'p' },
        { power: -9, text: 'nano', value: 'n' },
        { power: -6, text: 'micro', value: 'µ' },
        { power: -3, text: 'milli', value: 'm' },
        { power: 0, text: 'Unit', value: '-' },
        { power: 3, text: 'Kilo', value: 'k' },
        { power: 6, text: 'Mill', value: 'M' },
        { power: 9, text: 'Bill', value: 'B' },
        { power: 12, text: 'Tril', value: 'T' },
        { power: 15, text: 'Peta', value: 'P' },
        { power: 18, text: 'Exa', value: 'E' },
        { power: 21, text: 'Zeta', value: 'Z' },
        { power: 24, text: 'Yotta', value: 'Y' }
    ];
    function findSi(type) {
        for (let i = 0, count = SI.length; i < count; i++) {
            if (SI[i].value === type) {
                return SI[i];
            }
        }
        return SI[SI_MID];
    }
    function calcSi(text, decimals, forceUnit) {
        if (forceUnit) {
            return findSi(forceUnit);
        }
        const siDefIndex = (SI_MID - 1) + Math.ceil((text.length - decimals) / 3);
        return SI[siDefIndex] || SI[siDefIndex < 0 ? 0 : SI.length - 1];
    }

    const DEFAULT_DECIMALS = 0;
    const DEFAULT_UNIT = SI[SI_MID].text;
    let defaultDecimals = DEFAULT_DECIMALS;
    let defaultUnit = DEFAULT_UNIT;
    function _formatBalance(input, { decimals = defaultDecimals, forceUnit, locale = 'en', withAll = false, withSi = true, withSiFull = false, withUnit = true, withZero = true } = {}) {
        let text = bnToBn(input).toString();
        if (text.length === 0 || text === '0') {
            return '0';
        }
        let sign = '';
        if (text[0].startsWith('-')) {
            sign = '-';
            text = text.substring(1);
        }
        const si = calcSi(text, decimals, forceUnit);
        const mid = text.length - (decimals + si.power);
        const pre = mid <= 0 ? '0' : text.substring(0, mid);
        let post = text
            .padStart(mid < 0 ? decimals : 1, '0')
            .substring(mid < 0 ? 0 : mid)
            .padEnd(withAll ? Math.max(decimals, 4) : 4, '0')
            .substring(0, withAll ? Math.max(4, decimals + si.power) : 4);
        if (!withZero) {
            let end = post.length - 1;
            do {
                if (post[end] === '0') {
                    end--;
                }
            } while (post[end] === '0');
            post = post.substring(0, end + 1);
        }
        const unit = isBoolean(withUnit)
            ? SI[SI_MID].text
            : withUnit;
        const units = withSi || withSiFull
            ? si.value === '-'
                ? withUnit
                    ? ` ${unit}`
                    : ''
                : ` ${withSiFull ? `${si.text}${withUnit ? ' ' : ''}` : si.value}${withUnit ? unit : ''}`
            : '';
        const { decimal, thousand } = getSeparator(locale);
        return `${sign}${formatDecimal(pre, thousand)}${post && `${decimal}${post}`}${units}`;
    }
    const formatBalance = _formatBalance;
    formatBalance.calcSi = (text, decimals = defaultDecimals) => calcSi(text, decimals);
    formatBalance.findSi = findSi;
    formatBalance.getDefaults = () => {
        return {
            decimals: defaultDecimals,
            unit: defaultUnit
        };
    };
    formatBalance.getOptions = (decimals = defaultDecimals) => {
        return SI.filter(({ power }) => power < 0
            ? (decimals + power) >= 0
            : true);
    };
    formatBalance.setDefaults = ({ decimals, unit }) => {
        defaultDecimals = (Array.isArray(decimals)
            ? decimals[0]
            : decimals) ?? defaultDecimals;
        defaultUnit = (Array.isArray(unit)
            ? unit[0]
            : unit) ?? defaultUnit;
        SI[SI_MID].text = defaultUnit;
    };

    function zeroPad(value) {
        return value.toString().padStart(2, '0');
    }
    function formatDate(date) {
        const year = date.getFullYear().toString();
        const month = zeroPad((date.getMonth() + 1));
        const day = zeroPad(date.getDate());
        const hour = zeroPad(date.getHours());
        const minute = zeroPad(date.getMinutes());
        const second = zeroPad(date.getSeconds());
        return `${year}-${month}-${day} ${hour}:${minute}:${second}`;
    }

    function formatValue(elapsed) {
        if (elapsed < 15) {
            return `${elapsed.toFixed(1)}s`;
        }
        else if (elapsed < 60) {
            return `${elapsed | 0}s`;
        }
        else if (elapsed < 3600) {
            return `${elapsed / 60 | 0}m`;
        }
        return `${elapsed / 3600 | 0}h`;
    }
    function formatElapsed(now, value) {
        const tsNow = now?.getTime() || 0;
        const tsValue = value instanceof Date
            ? value.getTime()
            : bnToBn(value).toNumber();
        return (tsNow && tsValue)
            ? formatValue(Math.max(Math.abs(tsNow - tsValue), 0) / 1000)
            : '0.0s';
    }

    function formatNumber(value, { locale = 'en' } = {}) {
        const { thousand } = getSeparator(locale);
        return formatDecimal(bnToBn(value).toString(), thousand);
    }

    function hexHasPrefix(value) {
        return !!value && isHex(value, -1);
    }

    function hexAddPrefix(value) {
        return value && hexHasPrefix(value)
            ? value
            : `0x${value && value.length % 2 === 1 ? '0' : ''}${value || ''}`;
    }

    function hexFixLength(value, bitLength = -1, withPadding = false) {
        const strLength = Math.ceil(bitLength / 4);
        const hexLength = strLength + 2;
        return hexAddPrefix((bitLength === -1 || value.length === hexLength || (!withPadding && value.length < hexLength))
            ? hexStripPrefix(value)
            : (value.length > hexLength)
                ? hexStripPrefix(value).slice(-1 * strLength)
                : `${'0'.repeat(strLength)}${hexStripPrefix(value)}`.slice(-1 * strLength));
    }

    function hexToNumber(value) {
        return value
            ? hexToBn(value).toNumber()
            : NaN;
    }

    function hexToString(_value) {
        return u8aToString(hexToU8a(_value));
    }

    function isArray(value) {
        return Array.isArray(value);
    }

    function isString(value) {
        return typeof value === 'string' || value instanceof String;
    }

    function isAsciiStr(str) {
        for (let i = 0, count = str.length; i < count; i++) {
            const b = str.charCodeAt(i);
            if (b < 32 || b > 126) {
                return false;
            }
        }
        return true;
    }
    function isAsciiBytes(u8a) {
        for (let i = 0, count = u8a.length; i < count; i++) {
            const b = u8a[i] | 0;
            if (b < 32 || b > 126) {
                return false;
            }
        }
        return true;
    }
    function isAscii(value) {
        return isString(value)
            ? isHex(value)
                ? isAsciiBytes(u8aToU8a(value))
                : isAsciiStr(value)
            : value
                ? isAsciiBytes(value)
                : false;
    }

    const isClass =  isOnFunction('isPrototypeOf', 'hasOwnProperty');

    function isChildClass(Parent, Child) {
        return isClass(Child) && isClass(Parent)
            ? Parent === Child || Parent.isPrototypeOf(Child)
            : false;
    }

    const checkCodec =  isOnObject('toHex', 'toHuman', 'toU8a');
    const checkRegistry =  isOnObject('get');
    function isCodec(value) {
        return checkCodec(value) && checkRegistry(value.registry);
    }

    const isCompact =  isOnObject('toBigInt', 'toBn', 'toNumber', 'unwrap');

    function isError(value) {
        return (((value && value.constructor) === Error) ||
            value instanceof Error);
    }

    function isInstanceOf(value, Clazz) {
        return (((value && value.constructor) === Clazz) ||
            value instanceof Clazz);
    }

    const v4 = '(?:25[0-5]|2[0-4]\\d|1\\d\\d|[1-9]\\d|\\d)(?:\\.(?:25[0-5]|2[0-4]\\d|1\\d\\d|[1-9]\\d|\\d)){3}';
    const v6s = '[a-fA-F\\d]{1,4}';
    const v6 = `
(?:
(?:${v6s}:){7}(?:${v6s}|:)|                                    // 1:2:3:4:5:6:7::  1:2:3:4:5:6:7:8
(?:${v6s}:){6}(?:${v4}|:${v6s}|:)|                             // 1:2:3:4:5:6::    1:2:3:4:5:6::8   1:2:3:4:5:6::8  1:2:3:4:5:6::1.2.3.4
(?:${v6s}:){5}(?::${v4}|(?::${v6s}){1,2}|:)|                   // 1:2:3:4:5::      1:2:3:4:5::7:8   1:2:3:4:5::8    1:2:3:4:5::7:1.2.3.4
(?:${v6s}:){4}(?:(?::${v6s}){0,1}:${v4}|(?::${v6s}){1,3}|:)| // 1:2:3:4::        1:2:3:4::6:7:8   1:2:3:4::8      1:2:3:4::6:7:1.2.3.4
(?:${v6s}:){3}(?:(?::${v6s}){0,2}:${v4}|(?::${v6s}){1,4}|:)| // 1:2:3::          1:2:3::5:6:7:8   1:2:3::8        1:2:3::5:6:7:1.2.3.4
(?:${v6s}:){2}(?:(?::${v6s}){0,3}:${v4}|(?::${v6s}){1,5}|:)| // 1:2::            1:2::4:5:6:7:8   1:2::8          1:2::4:5:6:7:1.2.3.4
(?:${v6s}:){1}(?:(?::${v6s}){0,4}:${v4}|(?::${v6s}){1,6}|:)| // 1::              1::3:4:5:6:7:8   1::8            1::3:4:5:6:7:1.2.3.4
(?::(?:(?::${v6s}){0,5}:${v4}|(?::${v6s}){1,7}|:))             // ::2:3:4:5:6:7:8  ::2:3:4:5:6:7:8  ::8             ::1.2.3.4
)(?:%[0-9a-zA-Z]{1,})?                                             // %eth0            %1
`.replace(/\s*\/\/.*$/gm, '').replace(/\n/g, '').trim();
    const v46Exact = new RegExp(`(?:^${v4}$)|(?:^${v6}$)`);
    const v4exact = new RegExp(`^${v4}$`);
    const v6exact = new RegExp(`^${v6}$`);
    function isIp(value, type) {
        switch (type) {
            case 'v4': return v4exact.test(value);
            case 'v6': return v6exact.test(value);
            default: return v46Exact.test(value);
        }
    }

    function replacer(_, v) {
        return isBigInt(v)
            ? v.toString()
            : v;
    }
    function stringify(value, space) {
        return JSON.stringify(value, replacer, space);
    }

    function isJsonObject(value) {
        const str = typeof value !== 'string'
            ? stringify(value)
            : value;
        try {
            const obj = JSON.parse(str);
            return typeof obj === 'object' && obj !== null;
        }
        catch {
            return false;
        }
    }

    function isNull(value) {
        return value === null;
    }

    function isNumber(value) {
        return typeof value === 'number';
    }

    const isObservable =  isOn('next');

    const isPromise =  isOnObject('catch', 'then');

    const ELF_MAGIC = new Uint8Array([0x7f, 0x45, 0x4c, 0x46]);
    const PVM_MAGIC = new Uint8Array([0x50, 0x56, 0x4d, 0x00]);
    function isRiscV(bytes) {
        if (isU8a(bytes)) {
            const start = bytes.subarray(0, 4);
            return u8aEq(start, PVM_MAGIC) || u8aEq(start, ELF_MAGIC);
        }
        return false;
    }

    const REGEX_DEV = /(Development|Local Testnet)$/;
    function isTestChain(chain) {
        if (!chain) {
            return false;
        }
        return !!REGEX_DEV.test(chain.toString());
    }

    function isUndefined(value) {
        return value === undefined;
    }

    function isUtf8(value) {
        if (!value) {
            return isString(value);
        }
        const u8a = u8aToU8a(value);
        const len = u8a.length;
        let i = 0;
        while (i < len) {
            if (u8a[i] <= 0x7F)  {
                i += 1;
            }
            else if (u8a[i] >= 0xC2 && u8a[i] <= 0xDF)  {
                if (i + 1 < len)  {
                    if (u8a[i + 1] < 0x80 || u8a[i + 1] > 0xBF) {
                        return false;
                    }
                }
                else {
                    return false;
                }
                i += 2;
            }
            else if (u8a[i] === 0xE0)  {
                if (i + 2 < len)  {
                    if (u8a[i + 1] < 0xA0 || u8a[i + 1] > 0xBF) {
                        return false;
                    }
                    if (u8a[i + 2] < 0x80 || u8a[i + 2] > 0xBF) {
                        return false;
                    }
                }
                else {
                    return false;
                }
                i += 3;
            }
            else if (u8a[i] >= 0xE1 && u8a[i] <= 0xEC)  {
                if (i + 2 < len)  {
                    if (u8a[i + 1] < 0x80 || u8a[i + 1] > 0xBF) {
                        return false;
                    }
                    if (u8a[i + 2] < 0x80 || u8a[i + 2] > 0xBF) {
                        return false;
                    }
                }
                else {
                    return false;
                }
                i += 3;
            }
            else if (u8a[i] === 0xED)  {
                if (i + 2 < len)  {
                    if (u8a[i + 1] < 0x80 || u8a[i + 1] > 0x9F) {
                        return false;
                    }
                    if (u8a[i + 2] < 0x80 || u8a[i + 2] > 0xBF) {
                        return false;
                    }
                }
                else {
                    return false;
                }
                i += 3;
            }
            else if (u8a[i] >= 0xEE && u8a[i] <= 0xEF)  {
                if (i + 2 < len)  {
                    if (u8a[i + 1] < 0x80 || u8a[i + 1] > 0xBF) {
                        return false;
                    }
                    if (u8a[i + 2] < 0x80 || u8a[i + 2] > 0xBF) {
                        return false;
                    }
                }
                else {
                    return false;
                }
                i += 3;
            }
            else if (u8a[i] === 0xF0)  {
                if (i + 3 < len)  {
                    if (u8a[i + 1] < 0x90 || u8a[i + 1] > 0xBF) {
                        return false;
                    }
                    if (u8a[i + 2] < 0x80 || u8a[i + 2] > 0xBF) {
                        return false;
                    }
                    if (u8a[i + 3] < 0x80 || u8a[i + 3] > 0xBF) {
                        return false;
                    }
                }
                else {
                    return false;
                }
                i += 4;
            }
            else if (u8a[i] >= 0xF1 && u8a[i] <= 0xF3)  {
                if (i + 3 < len)  {
                    if (u8a[i + 1] < 0x80 || u8a[i + 1] > 0xBF) {
                        return false;
                    }
                    if (u8a[i + 2] < 0x80 || u8a[i + 2] > 0xBF) {
                        return false;
                    }
                    if (u8a[i + 3] < 0x80 || u8a[i + 3] > 0xBF) {
                        return false;
                    }
                }
                else {
                    return false;
                }
                i += 4;
            }
            else if (u8a[i] === 0xF4)  {
                if (i + 3 < len)  {
                    if (u8a[i + 1] < 0x80 || u8a[i + 1] > 0x8F) {
                        return false;
                    }
                    if (u8a[i + 2] < 0x80 || u8a[i + 2] > 0xBF) {
                        return false;
                    }
                    if (u8a[i + 3] < 0x80 || u8a[i + 3] > 0xBF) {
                        return false;
                    }
                }
                else {
                    return false;
                }
                i += 4;
            }
            else {
                return false;
            }
        }
        return true;
    }

    const WASM_MAGIC = new Uint8Array([0, 97, 115, 109]);
    function isWasm(value) {
        return isU8a(value) && u8aEq(value.subarray(0, 4), WASM_MAGIC);
    }

    function lazyMethod(result, item, creator, getName, index = 0) {
        const name = getName
            ? getName(item, index)
            : item.toString();
        let value;
        Object.defineProperty(result, name, {
            configurable: true,
            enumerable: true,
            get: function () {
                if (value === undefined) {
                    value = creator(item, index, this);
                    try {
                        Object.defineProperty(this, name, { value });
                    }
                    catch {
                    }
                }
                return value;
            }
        });
    }
    function lazyMethods(result, items, creator, getName) {
        for (let i = 0, count = items.length; i < count; i++) {
            lazyMethod(result, items[i], creator, getName, i);
        }
        return result;
    }

    function identity(value) {
        return value;
    }
    function noop() {
    }

    const logTo = {
        debug: 'log',
        error: 'error',
        log: 'log',
        warn: 'warn'
    };
    function formatOther(value) {
        if (value && isObject(value) && value.constructor === Object) {
            const result = {};
            for (const [k, v] of Object.entries(value)) {
                result[k] = loggerFormat(v);
            }
            return result;
        }
        return value;
    }
    function loggerFormat(value) {
        if (Array.isArray(value)) {
            return value.map(loggerFormat);
        }
        else if (isBn(value)) {
            return value.toString();
        }
        else if (isU8a(value) || isBuffer(value)) {
            return u8aToHex(u8aToU8a(value));
        }
        return formatOther(value);
    }
    function formatWithLength(maxLength) {
        return (v) => {
            if (maxLength <= 0) {
                return v;
            }
            const r = `${v}`;
            return r.length < maxLength
                ? v
                : `${r.substring(0, maxLength)} ...`;
        };
    }
    function apply(log, type, values, maxSize = -1) {
        if (values.length === 1 && isFunction(values[0])) {
            const fnResult = values[0]();
            return apply(log, type, Array.isArray(fnResult) ? fnResult : [fnResult], maxSize);
        }
        console[logTo[log]](formatDate(new Date()), type, ...values
            .map(loggerFormat)
            .map(formatWithLength(maxSize)));
    }
    function isDebugOn(e, type) {
        return !!e && (e === '*' ||
            type === e ||
            (e.endsWith('*') &&
                type.startsWith(e.slice(0, -1))));
    }
    function isDebugOff(e, type) {
        return !!e && (e.startsWith('-') &&
            (type === e.slice(1) ||
                (e.endsWith('*') &&
                    type.startsWith(e.slice(1, -1)))));
    }
    function getDebugFlag(env, type) {
        let flag = false;
        for (const e of env) {
            if (isDebugOn(e, type)) {
                flag = true;
            }
            else if (isDebugOff(e, type)) {
                flag = false;
            }
        }
        return flag;
    }
    function parseEnv(type) {
        const maxSize = parseInt(xglobal.process?.env?.['DEBUG_MAX'] || '-1', 10);
        return [
            getDebugFlag((xglobal.process?.env?.['DEBUG'] || '').toLowerCase().split(','), type),
            isNaN(maxSize)
                ? -1
                : maxSize
        ];
    }
    function logger(origin) {
        const type = `${origin.toUpperCase()}:`.padStart(16);
        const [isDebug, maxSize] = parseEnv(origin.toLowerCase());
        return {
            debug: isDebug
                ? (...values) => apply('debug', type, values, maxSize)
                : noop,
            error: (...values) => apply('error', type, values),
            log: (...values) => apply('log', type, values),
            noop,
            warn: (...values) => apply('warn', type, values)
        };
    }

    function defaultGetId() {
        return 'none';
    }
    function memoize(fn, { getInstanceId = defaultGetId } = {}) {
        const cache = {};
        const memoized = (...args) => {
            const stringParams = stringify(args);
            const instanceId = getInstanceId();
            if (!cache[instanceId]) {
                cache[instanceId] = {};
            }
            if (cache[instanceId][stringParams] === undefined) {
                cache[instanceId][stringParams] = fn(...args);
            }
            return cache[instanceId][stringParams];
        };
        memoized.unmemoize = (...args) => {
            const stringParams = stringify(args);
            const instanceId = getInstanceId();
            if (cache[instanceId]?.[stringParams] !== undefined) {
                delete cache[instanceId][stringParams];
            }
        };
        return memoized;
    }

    function nextTick(onExec, onError) {
        setTimeout(() => {
            Promise
                .resolve()
                .then(() => {
                onExec();
            })
                .catch((error) => {
                if (onError) {
                    onError(error);
                }
                else {
                    console.error(error);
                }
            });
        }, 0);
    }

    function numberToHex(value, bitLength = -1) {
        const hex = (!value || Number.isNaN(value) ? 0 : value).toString(16);
        return hexFixLength(hex.length % 2 ? `0${hex}` : hex, bitLength, true);
    }

    function numberToU8a(value, bitLength = -1) {
        return hexToU8a(numberToHex(value, bitLength));
    }

    function objectClear(value) {
        const keys = Object.keys(value);
        for (let i = 0, count = keys.length; i < count; i++) {
            delete value[keys[i]];
        }
        return value;
    }

    function objectSpread(dest, ...sources) {
        for (let i = 0, count = sources.length; i < count; i++) {
            const src = sources[i];
            if (src) {
                if (typeof src.entries === 'function') {
                    for (const [key, value] of src.entries()) {
                        dest[key] = value;
                    }
                }
                else {
                    Object.assign(dest, src);
                }
            }
        }
        return dest;
    }

    function objectCopy(source) {
        return objectSpread({}, source);
    }

    function objectEntries(obj) {
        return Object.entries(obj);
    }

    function objectKeys(value) {
        return Object.keys(value);
    }

    function objectProperty(that, key, getter, getName, index = 0) {
        const name = getName
            ? getName(key, index)
            : key;
        if (!(name in that)) {
            Object.defineProperty(that, name, {
                enumerable: true,
                get: function () {
                    return getter(key, index, this);
                }
            });
        }
    }
    function objectProperties(that, keys, getter, getName) {
        for (let i = 0, count = keys.length; i < count; i++) {
            objectProperty(that, keys[i], getter, getName, i);
        }
    }

    function objectValues(obj) {
        return Object.values(obj);
    }

    function promisify(self, fn, ...params) {
        return new Promise((resolve, reject) => {
            fn.apply(self, params.concat((error, result) => {
                if (error) {
                    reject(error);
                }
                else {
                    resolve(result);
                }
            }));
        });
    }

    const CC_TO_UP = new Array(256);
    const CC_TO_LO = new Array(256);
    for (let i = 0, count = CC_TO_UP.length; i < count; i++) {
        CC_TO_LO[i] = String.fromCharCode(i).toLowerCase();
        CC_TO_UP[i] = String.fromCharCode(i).toUpperCase();
    }
    function formatAllCaps(w) {
        return w.slice(0, w.length - 1).toLowerCase() + CC_TO_UP[w.charCodeAt(w.length - 1)];
    }
    function converter$1(format) {
        return (value) => {
            const parts = value
                .replace(/[-_., ]+/g, ' ')
                .trim()
                .split(' ');
            let result = '';
            for (let i = 0, count = parts.length; i < count; i++) {
                const w = parts[i];
                result += format(/^[\dA-Z]+$/.test(w)
                    ? w.toLowerCase()
                    : w.replace(/^[\dA-Z]{2,}[^a-z]/, formatAllCaps), i);
            }
            return result;
        };
    }
    const stringCamelCase =  converter$1((w, i) =>
    (i ? CC_TO_UP[w.charCodeAt(0)] : CC_TO_LO[w.charCodeAt(0)]) + w.slice(1));
    const stringPascalCase =  converter$1((w) =>
    CC_TO_UP[w.charCodeAt(0)] + w.slice(1));

    function converter(map) {
        return (value) => value
            ? map[value.charCodeAt(0)] + value.slice(1)
            : '';
    }
    const stringLowerFirst =  converter(CC_TO_LO);
    const stringUpperFirst =  converter(CC_TO_UP);

    function stringShorten(value, prefixLength = 6) {
        return value.length <= 2 + 2 * prefixLength
            ? value.toString()
            : `${value.substring(0, prefixLength)}…${value.slice(-prefixLength)}`;
    }

    function stringToHex(value) {
        return u8aToHex(stringToU8a(value));
    }

    const DEDUPE = 'Either remove and explicitly install matching versions or dedupe using your package manager.\nThe following conflicting packages were found:';
    const POLKADOTJS_DISABLE_ESM_CJS_WARNING_FLAG = 'POLKADOTJS_DISABLE_ESM_CJS_WARNING';
    function getEntry(name) {
        const _global = xglobal;
        if (!_global.__polkadotjs) {
            _global.__polkadotjs = {};
        }
        if (!_global.__polkadotjs[name]) {
            _global.__polkadotjs[name] = [];
        }
        return _global.__polkadotjs[name];
    }
    function formatDisplay(all, fmt) {
        let max = 0;
        for (let i = 0, count = all.length; i < count; i++) {
            max = Math.max(max, all[i].version.length);
        }
        return all
            .map((d) => `\t${fmt(d.version.padEnd(max), d).join('\t')}`)
            .join('\n');
    }
    function formatInfo(version, { name }) {
        return [
            version,
            name
        ];
    }
    function formatVersion(version, { path, type }) {
        let extracted;
        if (path && path.length >= 5) {
            const nmIndex = path.indexOf('node_modules');
            extracted = nmIndex === -1
                ? path
                : path.substring(nmIndex);
        }
        else {
            extracted = '<unknown>';
        }
        return [
            `${`${type || ''}`.padStart(3)} ${version}`,
            extracted
        ];
    }
    function getPath(infoPath, pathOrFn) {
        if (infoPath) {
            return infoPath;
        }
        else if (isFunction(pathOrFn)) {
            try {
                return pathOrFn() || '';
            }
            catch {
                return '';
            }
        }
        return pathOrFn || '';
    }
    function warn(pre, all, fmt) {
        console.warn(`${pre}\n${DEDUPE}\n${formatDisplay(all, fmt)}`);
    }
    function detectPackage({ name, path, type, version }, pathOrFn, deps = []) {
        if (!name.startsWith('@polkadot')) {
            throw new Error(`Invalid package descriptor ${name}`);
        }
        const entry = getEntry(name);
        entry.push({ path: getPath(path, pathOrFn), type, version });
        const entriesSameVersion = entry.every((e) => e.version === version);
        const esmCjsWarningDisabled = xglobal.process?.env?.[POLKADOTJS_DISABLE_ESM_CJS_WARNING_FLAG] === '1';
        const multipleEntries = entry.length !== 1;
        const disableWarnings = esmCjsWarningDisabled && entriesSameVersion;
        if (multipleEntries && !disableWarnings) {
            warn(`${name} has multiple versions, ensure that there is only one installed.`, entry, formatVersion);
        }
        else {
            const mismatches = deps.filter((d) => d && d.version !== version);
            if (mismatches.length) {
                warn(`${name} requires direct dependencies exactly matching version ${version}.`, mismatches, formatInfo);
            }
        }
    }

    exports.BN = BN;
    exports.BN_BILLION = BN_BILLION;
    exports.BN_EIGHT = BN_EIGHT;
    exports.BN_FIVE = BN_FIVE;
    exports.BN_FOUR = BN_FOUR;
    exports.BN_HUNDRED = BN_HUNDRED;
    exports.BN_MAX_INTEGER = BN_MAX_INTEGER;
    exports.BN_MILLION = BN_MILLION;
    exports.BN_NINE = BN_NINE;
    exports.BN_ONE = BN_ONE;
    exports.BN_QUINTILL = BN_QUINTILL;
    exports.BN_SEVEN = BN_SEVEN;
    exports.BN_SIX = BN_SIX;
    exports.BN_SQRT_MAX_INTEGER = BN_SQRT_MAX_INTEGER;
    exports.BN_TEN = BN_TEN;
    exports.BN_THOUSAND = BN_THOUSAND;
    exports.BN_THREE = BN_THREE;
    exports.BN_TWO = BN_TWO;
    exports.BN_ZERO = BN_ZERO;
    exports.POLKADOTJS_DISABLE_ESM_CJS_WARNING_FLAG = POLKADOTJS_DISABLE_ESM_CJS_WARNING_FLAG;
    exports.U8A_WRAP_ETHEREUM = U8A_WRAP_ETHEREUM;
    exports.U8A_WRAP_POSTFIX = U8A_WRAP_POSTFIX;
    exports.U8A_WRAP_PREFIX = U8A_WRAP_PREFIX;
    exports._0n = _0n;
    exports._1000n = _1000n;
    exports._100n = _100n;
    exports._10n = _10n;
    exports._1Bn = _1Bn;
    exports._1Mn = _1Mn;
    exports._1Qn = _1Qn;
    exports._1n = _1n;
    exports._2n = _2n;
    exports._2pow53n = _2pow53n;
    exports._3n = _3n;
    exports._4n = _4n;
    exports._5n = _5n;
    exports._6n = _6n;
    exports._7n = _7n;
    exports._8n = _8n;
    exports._9n = _9n;
    exports._sqrt2pow53n = _sqrt2pow53n;
    exports.arrayChunk = arrayChunk;
    exports.arrayFilter = arrayFilter;
    exports.arrayFlatten = arrayFlatten;
    exports.arrayRange = arrayRange;
    exports.arrayShuffle = arrayShuffle;
    exports.arrayUnzip = arrayUnzip;
    exports.arrayZip = arrayZip;
    exports.assert = assert;
    exports.assertReturn = assertReturn;
    exports.assertUnreachable = assertUnreachable;
    exports.bnFromHex = hexToBn;
    exports.bnMax = bnMax;
    exports.bnMin = bnMin;
    exports.bnSqrt = bnSqrt;
    exports.bnToBn = bnToBn;
    exports.bnToHex = bnToHex;
    exports.bnToU8a = bnToU8a;
    exports.bufferToU8a = bufferToU8a;
    exports.calcSi = calcSi;
    exports.compactAddLength = compactAddLength;
    exports.compactFromU8a = compactFromU8a;
    exports.compactFromU8aLim = compactFromU8aLim;
    exports.compactStripLength = compactStripLength;
    exports.compactToU8a = compactToU8a;
    exports.detectPackage = detectPackage;
    exports.extractTime = extractTime;
    exports.findSi = findSi;
    exports.floatToU8a = floatToU8a;
    exports.formatBalance = formatBalance;
    exports.formatDate = formatDate;
    exports.formatDecimal = formatDecimal;
    exports.formatElapsed = formatElapsed;
    exports.formatNumber = formatNumber;
    exports.hasBigInt = hasBigInt;
    exports.hasBuffer = hasBuffer;
    exports.hasCjs = hasCjs;
    exports.hasDirname = hasDirname;
    exports.hasEsm = hasEsm;
    exports.hasProcess = hasProcess;
    exports.hasWasm = hasWasm;
    exports.hexAddPrefix = hexAddPrefix;
    exports.hexFixLength = hexFixLength;
    exports.hexHasPrefix = hexHasPrefix;
    exports.hexStripPrefix = hexStripPrefix;
    exports.hexToBigInt = hexToBigInt;
    exports.hexToBn = hexToBn;
    exports.hexToNumber = hexToNumber;
    exports.hexToString = hexToString;
    exports.hexToU8a = hexToU8a;
    exports.identity = identity;
    exports.isArray = isArray;
    exports.isAscii = isAscii;
    exports.isBigInt = isBigInt;
    exports.isBn = isBn;
    exports.isBoolean = isBoolean;
    exports.isBuffer = isBuffer;
    exports.isChildClass = isChildClass;
    exports.isClass = isClass;
    exports.isCodec = isCodec;
    exports.isCompact = isCompact;
    exports.isError = isError;
    exports.isFunction = isFunction;
    exports.isHex = isHex;
    exports.isInstanceOf = isInstanceOf;
    exports.isIp = isIp;
    exports.isJsonObject = isJsonObject;
    exports.isNull = isNull;
    exports.isNumber = isNumber;
    exports.isObject = isObject;
    exports.isObservable = isObservable;
    exports.isPromise = isPromise;
    exports.isRiscV = isRiscV;
    exports.isString = isString;
    exports.isTestChain = isTestChain;
    exports.isToBigInt = isToBigInt;
    exports.isToBn = isToBn;
    exports.isU8a = isU8a;
    exports.isUndefined = isUndefined;
    exports.isUtf8 = isUtf8;
    exports.isWasm = isWasm;
    exports.lazyMethod = lazyMethod;
    exports.lazyMethods = lazyMethods;
    exports.logger = logger;
    exports.loggerFormat = loggerFormat;
    exports.memoize = memoize;
    exports.nMax = nMax;
    exports.nMin = nMin;
    exports.nSqrt = nSqrt;
    exports.nToBigInt = nToBigInt;
    exports.nToHex = nToHex;
    exports.nToU8a = nToU8a;
    exports.nextTick = nextTick;
    exports.noop = noop;
    exports.numberToHex = numberToHex;
    exports.numberToU8a = numberToU8a;
    exports.objectClear = objectClear;
    exports.objectCopy = objectCopy;
    exports.objectEntries = objectEntries;
    exports.objectKeys = objectKeys;
    exports.objectProperties = objectProperties;
    exports.objectProperty = objectProperty;
    exports.objectSpread = objectSpread;
    exports.objectValues = objectValues;
    exports.packageInfo = packageInfo$3;
    exports.promisify = promisify;
    exports.stringCamelCase = stringCamelCase;
    exports.stringLowerFirst = stringLowerFirst;
    exports.stringPascalCase = stringPascalCase;
    exports.stringShorten = stringShorten;
    exports.stringToHex = stringToHex;
    exports.stringToU8a = stringToU8a;
    exports.stringUpperFirst = stringUpperFirst;
    exports.stringify = stringify;
    exports.u8aCmp = u8aCmp;
    exports.u8aConcat = u8aConcat;
    exports.u8aConcatStrict = u8aConcatStrict;
    exports.u8aEmpty = u8aEmpty;
    exports.u8aEq = u8aEq;
    exports.u8aFixLength = u8aFixLength;
    exports.u8aIsWrapped = u8aIsWrapped;
    exports.u8aSorted = u8aSorted;
    exports.u8aToBigInt = u8aToBigInt;
    exports.u8aToBn = u8aToBn;
    exports.u8aToBuffer = u8aToBuffer;
    exports.u8aToFloat = u8aToFloat;
    exports.u8aToHex = u8aToHex;
    exports.u8aToNumber = u8aToNumber;
    exports.u8aToString = u8aToString;
    exports.u8aToU8a = u8aToU8a;
    exports.u8aUnwrapBytes = u8aUnwrapBytes;
    exports.u8aWrapBytes = u8aWrapBytes;

}));