Sorting.java

import java.util.Arrays;

public class Sorting {
    private final static int[] runLengths = new int[]{
            76405736, 74830360, 1181532, 787688, 1575376, 2363064, 3938440, 6301504,
            1181532, 393844, 15753760, 1575376, 787688, 393844, 1969220, 3150752, 1181532, 787688, 5513816, 3938440,
            1181532, 787688, 1575376, 18116824, 1181532, 787688, 1575376, 2363064, 3938440, 787688, 26781392, 1181532,
            787688, 1575376, 2363064, 393844, 4332284, 1181532, 787688, 1575376, 12209164, 1181532, 787688, 1575376,
            2363064, 787688, 393844, 4726128, 1575376, 787688, 1969220, 76405758, 53168940, 1181532, 787688, 1575376,
            2363064, 3938440, 1575376, 787688, 393844, 10633788, 1181532, 787688, 1575376, 2363064, 4332284, 1181532,
            787688, 1575376, 12996852, 1181532, 787688, 1575376, 2363064, 393844, 17329136, 1575376, 787688, 393844,
            1969220, 3150752, 1181532, 393844, 7483036, 1575376, 787688, 1969220, 2756908, 1181532, 787600, 76405780,
            38202802, 114608494, 66, 44, 88, 176, 352, 704, 1408, 2816, 5632, 11264, 22528, 45056, 90112, 180224,
            360448, 720896, 1441792, 2883584, 5767168, 11387222, 22495132, 319836, 213224, 426448, 639672, 1066120,
            1705792, 426448, 213224, 106612, 4584316, 426448, 213224, 106612, 533060, 106612, 852896, 426448, 213224,
            1599180, 1172732, 319836, 213224, 426448, 5223988, 319836, 213224, 426448, 639672, 1066120, 319836, 213224,
            7782676, 426448, 213224, 533060, 746284, 213224, 1705792, 319836, 213224, 426448, 639672, 2238852, 426448,
            213224, 106612, 2345464, 426448, 213224, 106612, 533060, 106612, 852896, 426448, 213224, 106612, 22921602,
            15245516, 319836, 213224, 426448, 639672, 1172732, 319836, 213224, 426448, 3304972, 319836, 213224, 426448,
            639672, 213224, 1279344, 426448, 213224, 533060, 3838032, 319836, 213224, 426448, 639672, 213224, 106612,
            5330600, 319836, 213224, 426448, 639672, 1066120, 213224, 2345464, 426448, 213224, 106612, 533060, 106612,
            852896, 426448, 213224, 106524, 22921624, 11460724, 34382260, 66, 44, 88, 176, 352, 704, 1408, 2816, 5632,
            11264, 22528, 45056, 90112, 180224, 360448, 720896, 1001792, 1783584, 2649020, 6739370, 102630, 68420,
            136840, 205260, 342100, 547360, 102630, 68420, 1436820, 102630, 68420, 136840, 205260, 342100, 547360,
            102630, 68420, 136840, 205260, 68420, 34210, 1607870, 102630, 68420, 136840, 205260, 342100, 68420, 34210,
            2428910, 102630, 68420, 136840, 205260, 34210, 410520, 102630, 68420, 136840, 1094720, 102630, 68420,
            136840, 205260, 68420, 34210, 444730, 136840, 68420, 34210, 171050, 34210, 6876232, 4618350, 102630, 68420,
            136840, 205260, 34210, 342100, 136840, 68420, 34210, 992090, 102630, 68420, 136840, 205260, 68420, 342100,
            205260, 102630, 68420, 1163140, 102630, 68420, 136840, 205260, 68420, 1607870, 102630, 68420, 136840,
            205260, 342100, 34210, 684200, 136840, 68420, 171050, 239470, 102630, 68332, 6876254, 3438028, 10314194, 66,
            44, 88, 176, 352, 704, 1408, 2816, 5632, 11264, 22528, 45056, 90112, 180224, 360448, 500896, 840554,
            2018720, 32736, 21824, 43648, 65472, 21824, 10912, 141856, 43648, 21824, 10912, 54560, 10912, 425568, 43648,
            21824, 54560, 76384, 21824, 10912, 185504, 32736, 21824, 43648, 65472, 21824, 10912, 491040, 32736, 21824,
            43648, 65472, 109120, 10912, 731104, 32736, 21824, 43648, 65472, 120032, 32736, 21824, 43648, 327360, 32736,
            21824, 43648, 65472, 21824, 130944, 43648, 21824, 54560, 2062390, 1396736, 32736, 21824, 43648, 65472,
            109120, 43648, 21824, 10912, 294624, 32736, 21824, 43648, 65472, 120032, 32736, 21824, 43648, 360096, 32736,
            21824, 43648, 65472, 10912, 480128, 32736, 21824, 43648, 65472, 109120, 196416, 65472, 32736, 10912, 76384,
            21824, 10824, 2062412, 1031118, 3093442, 66, 44, 88, 176, 352, 704, 1408, 2816, 5632, 11264, 22528, 45056,
            90112, 180224, 258170, 605616, 9768, 6512, 13024, 19536, 6512, 3256, 42328, 13024, 6512, 3256, 16280, 3256,
            126984, 13024, 6512, 16280, 22792, 6512, 3256, 55352, 9768, 6512, 13024, 19536, 6512, 3256, 146520, 9768,
            6512, 13024, 19536, 32560, 3256, 218152, 9768, 6512, 13024, 19536, 35816, 9768, 6512, 13024, 100936, 9768,
            6512, 13024, 19536, 6512, 3256, 39072, 13024, 6512, 16280, 618662, 416768, 9768, 6512, 13024, 19536, 32560,
            13024, 6512, 3256, 87912, 9768, 6512, 13024, 19536, 35816, 9768, 6512, 13024, 107448, 9768, 6512, 13024,
            19536, 3256, 143264, 13024, 6512, 3256, 16280, 26048, 9768, 3256, 61864, 13024, 6512, 16280, 22792, 9768,
            3168, 618684, 309254, 927850, 66, 44, 88, 176, 352, 704, 1408, 2816, 5632, 11264, 22440, 23056, 45056,
            72314, 181632, 2838, 1892, 3784, 5676, 9460, 15136, 2838, 946, 37840, 3784, 1892, 946, 4730, 7568, 2838,
            1892, 13244, 9460, 2838, 1892, 3784, 43516, 2838, 1892, 3784, 5676, 9460, 1892, 65274, 2838, 1892, 3784,
            5676, 946, 10406, 2838, 1892, 3784, 30272, 2838, 1892, 3784, 5676, 1892, 946, 12298, 3784, 1892, 946, 4730,
            185438, 127710, 2838, 1892, 3784, 5676, 9460, 3784, 1892, 946, 26488, 2838, 1892, 3784, 5676, 946, 10406,
            2838, 1892, 3784, 31218, 2838, 1892, 3784, 5676, 946, 42570, 2838, 1892, 3784, 5676, 9460, 17974, 3784,
            1892, 4730, 6622, 2838, 1804, 185460, 92642, 278014, 66, 44, 88, 176, 352, 704, 1408, 2816, 5632, 9064,
            11528, 23606, 54340, 858, 572, 1144, 1716, 2860, 4576, 858, 286, 11440, 1144, 572, 286, 1430, 2288, 858,
            572, 4004, 2860, 858, 572, 1144, 13156, 858, 572, 1144, 1716, 2860, 572, 19448, 858, 572, 1144, 1716, 286,
            3146, 858, 572, 1144, 8866, 858, 572, 1144, 1716, 572, 286, 3432, 1144, 572, 1430, 55506, 38610, 858, 572,
            1144, 1716, 2860, 1144, 572, 286, 7722, 858, 572, 1144, 1716, 3146, 858, 572, 1144, 9438, 858, 572, 1144,
            1716, 286, 12584, 1144, 572, 286, 1430, 2288, 858, 286, 5434, 1144, 572, 1430, 2002, 858, 484, 55528, 27676,
            83116, 66, 44, 88, 176, 352, 704, 1408, 1716, 3872, 8118, 16192, 264, 176, 352, 528, 176, 88, 1144, 352,
            176, 88, 440, 88, 3432, 352, 176, 440, 616, 176, 88, 1408, 264, 176, 352, 528, 176, 88, 3960, 264, 176, 352,
            528, 880, 88, 5808, 264, 176, 352, 528, 968, 264, 176, 352, 2640, 264, 176, 352, 528, 176, 1056, 352, 176,
            440, 16566, 11264, 264, 176, 352, 528, 880, 352, 176, 2376, 264, 176, 352, 528, 968, 264, 176, 352, 2816,
            264, 176, 352, 528, 88, 3872, 264, 176, 352, 528, 880, 1584, 528, 264, 88, 616, 176, 16588, 8206, 24706, 66,
            44, 88, 176, 352, 704, 1408, 2090, 4708, 66, 44, 88, 132, 220, 352, 66, 44, 88, 990, 66, 44, 88, 132, 220,
            418, 88, 44, 110, 154, 66, 44, 1122, 66, 44, 88, 132, 220, 88, 44, 22, 1716, 88, 44, 110, 154, 44, 352, 66,
            44, 88, 132, 44, 22, 462, 110, 44, 22, 528, 88, 44, 22, 110, 22, 176, 88, 44, 22, 4950, 3256, 66, 44, 88,
            132, 22, 242, 66, 44, 88, 704, 66, 44, 88, 132, 44, 22, 264, 88, 44, 110, 814, 88, 44, 110, 154, 22, 1144,
            66, 44, 88, 132, 220, 44, 22, 506, 88, 44, 22, 110, 22, 176, 88, 44, 22, 4972, 2398, 7282, 66, 44, 88, 176,
            242, 418, 660, 1496, 66, 44, 88, 132, 242, 66, 44, 88, 682, 66, 44, 88, 132, 44, 22, 264, 88, 44, 110, 1716,
            858, 88, 44, 110, 154, 44, 22, 352, 66, 44, 88, 132, 44, 22, 1738, 198, 1760, 175, 156, 18, 17, 19, 36, 65,
            21, 20, 22, 18, 452, 114, 95, 18, 17, 21, 36, 18, 17, 115, 76, 144, 44, 38, 61, 20, 19, 21, 17,
    };

    public static void main(String[] args) {
        Integer[] arrayToSort = new Integer[1_091_482_190];
        Arrays.fill(arrayToSort, 0);
        int sum = -1;
        for (int i : runLengths) {
            sum += i;
            arrayToSort[sum] = 1;
        }
        Arrays.sort(arrayToSort);
    }
}