/****
 * The MIT License
 *
 * Copyright (c) 2015 Marco Ziccardi
 *
 * Permission is hereby granted, free of charge, to any person obtaining a copy
 * of this software and associated documentation files (the "Software"), to deal
 * in the Software without restriction, including without limitation the rights
 * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
 * copies of the Software, and to permit persons to whom the Software is
 * furnished to do so, subject to the following conditions:
 *
 * The above copyright notice and this permission notice shall be included in
 * all copies or substantial portions of the Software.
 *
 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
 * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
 * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
 * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
 * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
 * THE SOFTWARE.
 *
 ****/
(function (global, factory) {
  if (typeof define === 'function' && define.amd) {
    define('timsort', ['exports'], factory);
  } else if (typeof exports !== 'undefined') {
    factory(exports);
  } else {
    var mod = {
      exports: {}
    };
    factory(mod.exports);
    global.timsort = mod.exports;
  }
})(this, function (exports) {
  'use strict';

  exports.__esModule = true;
  exports.sort = sort;

  function _classCallCheck(instance, Constructor) {
    if (!(instance instanceof Constructor)) {
      throw new TypeError('Cannot call a class as a function');
    }
  }

  var DEFAULT_MIN_MERGE = 32;

  var DEFAULT_MIN_GALLOPING = 7;

  var DEFAULT_TMP_STORAGE_LENGTH = 256;

  var POWERS_OF_TEN = [1e0, 1e1, 1e2, 1e3, 1e4, 1e5, 1e6, 1e7, 1e8, 1e9];

  function log10(x) {
    if (x < 1e5) {
      if (x < 1e2) {
        return x < 1e1 ? 0 : 1;
      }

      if (x < 1e4) {
        return x < 1e3 ? 2 : 3;
      }

      return 4;
    }

    if (x < 1e7) {
      return x < 1e6 ? 5 : 6;
    }

    if (x < 1e9) {
      return x < 1e8 ? 7 : 8;
    }

    return 9;
  }

  function alphabeticalCompare(a, b) {
    if (a === b) {
      return 0;
    }

    if (~ ~a === a && ~ ~b === b) {
      if (a === 0 || b === 0) {
        return a < b ? -1 : 1;
      }

      if (a < 0 || b < 0) {
        if (b >= 0) {
          return -1;
        }

        if (a >= 0) {
          return 1;
        }

        a = -a;
        b = -b;
      }

      var al = log10(a);
      var bl = log10(b);

      var t = 0;

      if (al < bl) {
        a *= POWERS_OF_TEN[bl - al - 1];
        b /= 10;
        t = -1;
      } else if (al > bl) {
        b *= POWERS_OF_TEN[al - bl - 1];
        a /= 10;
        t = 1;
      }

      if (a === b) {
        return t;
      }

      return a < b ? -1 : 1;
    }

    var aStr = String(a);
    var bStr = String(b);

    if (aStr === bStr) {
      return 0;
    }

    return aStr < bStr ? -1 : 1;
  }

  function minRunLength(n) {
    var r = 0;

    while (n >= DEFAULT_MIN_MERGE) {
      r |= n & 1;
      n >>= 1;
    }

    return n + r;
  }

  function makeAscendingRun(array, lo, hi, compare) {
    var runHi = lo + 1;

    if (runHi === hi) {
      return 1;
    }

    if (compare(array[runHi++], array[lo]) < 0) {
      while (runHi < hi && compare(array[runHi], array[runHi - 1]) < 0) {
        runHi++;
      }

      reverseRun(array, lo, runHi);
    } else {
      while (runHi < hi && compare(array[runHi], array[runHi - 1]) >= 0) {
        runHi++;
      }
    }

    return runHi - lo;
  }

  function reverseRun(array, lo, hi) {
    hi--;

    while (lo < hi) {
      var t = array[lo];
      array[lo++] = array[hi];
      array[hi--] = t;
    }
  }

  function binaryInsertionSort(array, lo, hi, start, compare) {
    if (start === lo) {
      start++;
    }

    for (; start < hi; start++) {
      var pivot = array[start];

      var left = lo;
      var right = start;

      while (left < right) {
        var mid = left + right >>> 1;

        if (compare(pivot, array[mid]) < 0) {
          right = mid;
        } else {
          left = mid + 1;
        }
      }

      var n = start - left;

      switch (n) {
        case 3:
          array[left + 3] = array[left + 2];

        case 2:
          array[left + 2] = array[left + 1];

        case 1:
          array[left + 1] = array[left];
          break;
        default:
          while (n > 0) {
            array[left + n] = array[left + n - 1];
            n--;
          }
      }

      array[left] = pivot;
    }
  }

  function gallopLeft(value, array, start, length, hint, compare) {
    var lastOffset = 0;
    var maxOffset = 0;
    var offset = 1;

    if (compare(value, array[start + hint]) > 0) {
      maxOffset = length - hint;

      while (offset < maxOffset && compare(value, array[start + hint + offset]) > 0) {
        lastOffset = offset;
        offset = (offset << 1) + 1;

        if (offset <= 0) {
          offset = maxOffset;
        }
      }

      if (offset > maxOffset) {
        offset = maxOffset;
      }

      lastOffset += hint;
      offset += hint;
    } else {
      maxOffset = hint + 1;
      while (offset < maxOffset && compare(value, array[start + hint - offset]) <= 0) {
        lastOffset = offset;
        offset = (offset << 1) + 1;

        if (offset <= 0) {
          offset = maxOffset;
        }
      }
      if (offset > maxOffset) {
        offset = maxOffset;
      }

      var tmp = lastOffset;
      lastOffset = hint - offset;
      offset = hint - tmp;
    }

    lastOffset++;
    while (lastOffset < offset) {
      var m = lastOffset + (offset - lastOffset >>> 1);

      if (compare(value, array[start + m]) > 0) {
        lastOffset = m + 1;
      } else {
        offset = m;
      }
    }
    return offset;
  }

  function gallopRight(value, array, start, length, hint, compare) {
    var lastOffset = 0;
    var maxOffset = 0;
    var offset = 1;

    if (compare(value, array[start + hint]) < 0) {
      maxOffset = hint + 1;

      while (offset < maxOffset && compare(value, array[start + hint - offset]) < 0) {
        lastOffset = offset;
        offset = (offset << 1) + 1;

        if (offset <= 0) {
          offset = maxOffset;
        }
      }

      if (offset > maxOffset) {
        offset = maxOffset;
      }

      var tmp = lastOffset;
      lastOffset = hint - offset;
      offset = hint - tmp;
    } else {
      maxOffset = length - hint;

      while (offset < maxOffset && compare(value, array[start + hint + offset]) >= 0) {
        lastOffset = offset;
        offset = (offset << 1) + 1;

        if (offset <= 0) {
          offset = maxOffset;
        }
      }

      if (offset > maxOffset) {
        offset = maxOffset;
      }

      lastOffset += hint;
      offset += hint;
    }

    lastOffset++;

    while (lastOffset < offset) {
      var m = lastOffset + (offset - lastOffset >>> 1);

      if (compare(value, array[start + m]) < 0) {
        offset = m;
      } else {
        lastOffset = m + 1;
      }
    }

    return offset;
  }

  var TimSort = (function () {
    function TimSort(array, compare) {
      _classCallCheck(this, TimSort);

      this.array = null;
      this.compare = null;
      this.minGallop = DEFAULT_MIN_GALLOPING;
      this.length = 0;
      this.tmpStorageLength = DEFAULT_TMP_STORAGE_LENGTH;
      this.stackLength = 0;
      this.runStart = null;
      this.runLength = null;
      this.stackSize = 0;

      this.array = array;
      this.compare = compare;

      this.length = array.length;

      if (this.length < 2 * DEFAULT_TMP_STORAGE_LENGTH) {
        this.tmpStorageLength = this.length >>> 1;
      }

      this.tmp = new Array(this.tmpStorageLength);

      this.stackLength = this.length < 120 ? 5 : this.length < 1542 ? 10 : this.length < 119151 ? 19 : 40;

      this.runStart = new Array(this.stackLength);
      this.runLength = new Array(this.stackLength);
    }

    TimSort.prototype.pushRun = function pushRun(runStart, runLength) {
      this.runStart[this.stackSize] = runStart;
      this.runLength[this.stackSize] = runLength;
      this.stackSize += 1;
    };

    TimSort.prototype.mergeRuns = function mergeRuns() {
      while (this.stackSize > 1) {
        var n = this.stackSize - 2;

        if (n >= 1 && this.runLength[n - 1] <= this.runLength[n] + this.runLength[n + 1] || n >= 2 && this.runLength[n - 2] <= this.runLength[n] + this.runLength[n - 1]) {

          if (this.runLength[n - 1] < this.runLength[n + 1]) {
            n--;
          }
        } else if (this.runLength[n] > this.runLength[n + 1]) {
          break;
        }
        this.mergeAt(n);
      }
    };

    TimSort.prototype.forceMergeRuns = function forceMergeRuns() {
      while (this.stackSize > 1) {
        var n = this.stackSize - 2;

        if (n > 0 && this.runLength[n - 1] < this.runLength[n + 1]) {
          n--;
        }

        this.mergeAt(n);
      }
    };

    TimSort.prototype.mergeAt = function mergeAt(i) {
      var compare = this.compare;
      var array = this.array;

      var start1 = this.runStart[i];
      var length1 = this.runLength[i];
      var start2 = this.runStart[i + 1];
      var length2 = this.runLength[i + 1];

      this.runLength[i] = length1 + length2;

      if (i === this.stackSize - 3) {
        this.runStart[i + 1] = this.runStart[i + 2];
        this.runLength[i + 1] = this.runLength[i + 2];
      }

      this.stackSize--;

      var k = gallopRight(array[start2], array, start1, length1, 0, compare);
      start1 += k;
      length1 -= k;

      if (length1 === 0) {
        return;
      }

      length2 = gallopLeft(array[start1 + length1 - 1], array, start2, length2, length2 - 1, compare);

      if (length2 === 0) {
        return;
      }

      if (length1 <= length2) {
        this.mergeLow(start1, length1, start2, length2);
      } else {
        this.mergeHigh(start1, length1, start2, length2);
      }
    };

    TimSort.prototype.mergeLow = function mergeLow(start1, length1, start2, length2) {

      var compare = this.compare;
      var array = this.array;
      var tmp = this.tmp;
      var i = 0;

      for (i = 0; i < length1; i++) {
        tmp[i] = array[start1 + i];
      }

      var cursor1 = 0;
      var cursor2 = start2;
      var dest = start1;

      array[dest++] = array[cursor2++];

      if (--length2 === 0) {
        for (i = 0; i < length1; i++) {
          array[dest + i] = tmp[cursor1 + i];
        }
        return;
      }

      if (length1 === 1) {
        for (i = 0; i < length2; i++) {
          array[dest + i] = array[cursor2 + i];
        }
        array[dest + length2] = tmp[cursor1];
        return;
      }

      var minGallop = this.minGallop;

      while (true) {
        var count1 = 0;
        var count2 = 0;
        var exit = false;

        do {
          if (compare(array[cursor2], tmp[cursor1]) < 0) {
            array[dest++] = array[cursor2++];
            count2++;
            count1 = 0;

            if (--length2 === 0) {
              exit = true;
              break;
            }
          } else {
            array[dest++] = tmp[cursor1++];
            count1++;
            count2 = 0;
            if (--length1 === 1) {
              exit = true;
              break;
            }
          }
        } while ((count1 | count2) < minGallop);

        if (exit) {
          break;
        }

        do {
          count1 = gallopRight(array[cursor2], tmp, cursor1, length1, 0, compare);

          if (count1 !== 0) {
            for (i = 0; i < count1; i++) {
              array[dest + i] = tmp[cursor1 + i];
            }

            dest += count1;
            cursor1 += count1;
            length1 -= count1;
            if (length1 <= 1) {
              exit = true;
              break;
            }
          }

          array[dest++] = array[cursor2++];

          if (--length2 === 0) {
            exit = true;
            break;
          }

          count2 = gallopLeft(tmp[cursor1], array, cursor2, length2, 0, compare);

          if (count2 !== 0) {
            for (i = 0; i < count2; i++) {
              array[dest + i] = array[cursor2 + i];
            }

            dest += count2;
            cursor2 += count2;
            length2 -= count2;

            if (length2 === 0) {
              exit = true;
              break;
            }
          }
          array[dest++] = tmp[cursor1++];

          if (--length1 === 1) {
            exit = true;
            break;
          }

          minGallop--;
        } while (count1 >= DEFAULT_MIN_GALLOPING || count2 >= DEFAULT_MIN_GALLOPING);

        if (exit) {
          break;
        }

        if (minGallop < 0) {
          minGallop = 0;
        }

        minGallop += 2;
      }

      this.minGallop = minGallop;

      if (minGallop < 1) {
        this.minGallop = 1;
      }

      if (length1 === 1) {
        for (i = 0; i < length2; i++) {
          array[dest + i] = array[cursor2 + i];
        }
        array[dest + length2] = tmp[cursor1];
      } else if (length1 === 0) {
        throw new Error('mergeLow preconditions were not respected');
      } else {
        for (i = 0; i < length1; i++) {
          array[dest + i] = tmp[cursor1 + i];
        }
      }
    };

    TimSort.prototype.mergeHigh = function mergeHigh(start1, length1, start2, length2) {
      var compare = this.compare;
      var array = this.array;
      var tmp = this.tmp;
      var i = 0;

      for (i = 0; i < length2; i++) {
        tmp[i] = array[start2 + i];
      }

      var cursor1 = start1 + length1 - 1;
      var cursor2 = length2 - 1;
      var dest = start2 + length2 - 1;
      var customCursor = 0;
      var customDest = 0;

      array[dest--] = array[cursor1--];

      if (--length1 === 0) {
        customCursor = dest - (length2 - 1);

        for (i = 0; i < length2; i++) {
          array[customCursor + i] = tmp[i];
        }

        return;
      }

      if (length2 === 1) {
        dest -= length1;
        cursor1 -= length1;
        customDest = dest + 1;
        customCursor = cursor1 + 1;

        for (i = length1 - 1; i >= 0; i--) {
          array[customDest + i] = array[customCursor + i];
        }

        array[dest] = tmp[cursor2];
        return;
      }

      var minGallop = this.minGallop;

      while (true) {
        var count1 = 0;
        var count2 = 0;
        var exit = false;

        do {
          if (compare(tmp[cursor2], array[cursor1]) < 0) {
            array[dest--] = array[cursor1--];
            count1++;
            count2 = 0;
            if (--length1 === 0) {
              exit = true;
              break;
            }
          } else {
            array[dest--] = tmp[cursor2--];
            count2++;
            count1 = 0;
            if (--length2 === 1) {
              exit = true;
              break;
            }
          }
        } while ((count1 | count2) < minGallop);

        if (exit) {
          break;
        }

        do {
          count1 = length1 - gallopRight(tmp[cursor2], array, start1, length1, length1 - 1, compare);

          if (count1 !== 0) {
            dest -= count1;
            cursor1 -= count1;
            length1 -= count1;
            customDest = dest + 1;
            customCursor = cursor1 + 1;

            for (i = count1 - 1; i >= 0; i--) {
              array[customDest + i] = array[customCursor + i];
            }

            if (length1 === 0) {
              exit = true;
              break;
            }
          }

          array[dest--] = tmp[cursor2--];

          if (--length2 === 1) {
            exit = true;
            break;
          }

          count2 = length2 - gallopLeft(array[cursor1], tmp, 0, length2, length2 - 1, compare);

          if (count2 !== 0) {
            dest -= count2;
            cursor2 -= count2;
            length2 -= count2;
            customDest = dest + 1;
            customCursor = cursor2 + 1;

            for (i = 0; i < count2; i++) {
              array[customDest + i] = tmp[customCursor + i];
            }

            if (length2 <= 1) {
              exit = true;
              break;
            }
          }

          array[dest--] = array[cursor1--];

          if (--length1 === 0) {
            exit = true;
            break;
          }

          minGallop--;
        } while (count1 >= DEFAULT_MIN_GALLOPING || count2 >= DEFAULT_MIN_GALLOPING);

        if (exit) {
          break;
        }

        if (minGallop < 0) {
          minGallop = 0;
        }

        minGallop += 2;
      }

      this.minGallop = minGallop;

      if (minGallop < 1) {
        this.minGallop = 1;
      }

      if (length2 === 1) {
        dest -= length1;
        cursor1 -= length1;
        customDest = dest + 1;
        customCursor = cursor1 + 1;

        for (i = length1 - 1; i >= 0; i--) {
          array[customDest + i] = array[customCursor + i];
        }

        array[dest] = tmp[cursor2];
      } else if (length2 === 0) {
        throw new Error('mergeHigh preconditions were not respected');
      } else {
        customCursor = dest - (length2 - 1);
        for (i = 0; i < length2; i++) {
          array[customCursor + i] = tmp[i];
        }
      }
    };

    return TimSort;
  })();

  function sort(array, compare, lo, hi) {
    if (!Array.isArray(array)) {
      throw new TypeError('Can only sort arrays');
    }

    if (!compare) {
      compare = alphabeticalCompare;
    } else if (typeof compare !== 'function') {
      hi = lo;
      lo = compare;
      compare = alphabeticalCompare;
    }

    if (!lo) {
      lo = 0;
    }
    if (!hi) {
      hi = array.length;
    }

    var remaining = hi - lo;

    if (remaining < 2) {
      return;
    }

    var runLength = 0;

    if (remaining < DEFAULT_MIN_MERGE) {
      runLength = makeAscendingRun(array, lo, hi, compare);
      binaryInsertionSort(array, lo, hi, lo + runLength, compare);
      return;
    }

    var ts = new TimSort(array, compare);

    var minRun = minRunLength(remaining);

    do {
      runLength = makeAscendingRun(array, lo, hi, compare);
      if (runLength < minRun) {
        var force = remaining;
        if (force > minRun) {
          force = minRun;
        }

        binaryInsertionSort(array, lo, lo + force, lo + runLength, compare);
        runLength = force;
      }

      ts.pushRun(lo, runLength);
      ts.mergeRuns();

      remaining -= runLength;
      lo += runLength;
    } while (remaining !== 0);

    ts.forceMergeRuns();
  }
});
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