#831440 (Java21) No.5013 セクスタプル (open)

• 問題: No.5013 セクスタプル (open)
• ユーザー: EvbCFfp1XB
• 提出日時: 2023-01-07 22:24:47
• 言語: Java21 (openjdk 21)
• 結果: AC
• 実行時間: 1,964 ms / 2,000 ms
• コード長: 17,993 bytes
• コンパイル時間: 2,427 ms
• 実行使用メモリ: 58,488 KB
• スコア: 18,572
• 最終ジャッジ日時: 2023-01-07 22:28:12
• 合計ジャッジ時間: 204,278 ms
• ジャッジサーバーID （参考情報）: judge13 / judge12

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	1,944 ms; 52,988 KB
testcase_01	AC	1,943 ms; 55,132 KB
testcase_02	AC	1,938 ms; 52,900 KB
testcase_03	AC	1,939 ms; 54,488 KB
testcase_04	AC	1,962 ms; 54,592 KB
testcase_05	AC	1,964 ms; 52,592 KB
testcase_06	AC	1,944 ms; 55,060 KB
testcase_07	AC	1,939 ms; 54,428 KB
testcase_08	AC	1,944 ms; 54,868 KB
testcase_09	AC	1,938 ms; 53,000 KB
testcase_10	AC	1,941 ms; 53,748 KB
testcase_11	AC	1,949 ms; 55,084 KB
testcase_12	AC	1,938 ms; 55,028 KB
testcase_13	AC	1,945 ms; 55,192 KB
testcase_14	AC	1,944 ms; 54,456 KB
testcase_15	AC	1,942 ms; 52,472 KB
testcase_16	AC	1,947 ms; 54,872 KB
testcase_17	AC	1,941 ms; 54,908 KB
testcase_18	AC	1,943 ms; 54,560 KB
testcase_19	AC	1,938 ms; 54,504 KB
testcase_20	AC	1,936 ms; 52,448 KB
testcase_21	AC	1,938 ms; 56,172 KB
testcase_22	AC	1,938 ms; 53,100 KB
testcase_23	AC	1,942 ms; 53,084 KB
testcase_24	AC	1,942 ms; 52,928 KB
testcase_25	AC	1,940 ms; 52,916 KB
testcase_26	AC	1,940 ms; 57,096 KB
testcase_27	AC	1,940 ms; 56,520 KB
testcase_28	AC	1,943 ms; 56,284 KB
testcase_29	AC	1,945 ms; 56,676 KB
testcase_30	AC	1,945 ms; 55,092 KB
testcase_31	AC	1,945 ms; 54,928 KB
testcase_32	AC	1,939 ms; 56,892 KB
testcase_33	AC	1,941 ms; 55,696 KB
testcase_34	AC	1,939 ms; 54,316 KB
testcase_35	AC	1,943 ms; 55,088 KB
testcase_36	AC	1,945 ms; 54,344 KB
testcase_37	AC	1,947 ms; 57,040 KB
testcase_38	AC	1,943 ms; 57,092 KB
testcase_39	AC	1,945 ms; 56,484 KB
testcase_40	AC	1,941 ms; 56,604 KB
testcase_41	AC	1,939 ms; 56,472 KB
testcase_42	AC	1,945 ms; 58,268 KB
testcase_43	AC	1,942 ms; 54,472 KB
testcase_44	AC	1,940 ms; 56,512 KB
testcase_45	AC	1,941 ms; 57,000 KB
testcase_46	AC	1,943 ms; 56,612 KB
testcase_47	AC	1,944 ms; 56,764 KB
testcase_48	AC	1,936 ms; 56,948 KB
testcase_49	AC	1,941 ms; 56,616 KB
testcase_50	AC	1,942 ms; 57,068 KB
testcase_51	AC	1,940 ms; 56,192 KB
testcase_52	AC	1,941 ms; 56,512 KB
testcase_53	AC	1,938 ms; 56,976 KB
testcase_54	AC	1,953 ms; 56,516 KB
testcase_55	AC	1,938 ms; 57,136 KB
testcase_56	AC	1,942 ms; 56,656 KB
testcase_57	AC	1,944 ms; 56,376 KB
testcase_58	AC	1,946 ms; 56,472 KB
testcase_59	AC	1,947 ms; 55,100 KB
testcase_60	AC	1,943 ms; 57,356 KB
testcase_61	AC	1,943 ms; 57,088 KB
testcase_62	AC	1,941 ms; 56,856 KB
testcase_63	AC	1,940 ms; 56,488 KB
testcase_64	AC	1,941 ms; 56,676 KB
testcase_65	AC	1,947 ms; 54,464 KB
testcase_66	AC	1,943 ms; 55,952 KB
testcase_67	AC	1,945 ms; 56,496 KB
testcase_68	AC	1,941 ms; 56,860 KB
testcase_69	AC	1,943 ms; 56,928 KB
testcase_70	AC	1,944 ms; 57,028 KB
testcase_71	AC	1,953 ms; 56,532 KB
testcase_72	AC	1,945 ms; 56,620 KB
testcase_73	AC	1,945 ms; 56,404 KB
testcase_74	AC	1,940 ms; 54,608 KB
testcase_75	AC	1,940 ms; 56,108 KB
testcase_76	AC	1,943 ms; 56,772 KB
testcase_77	AC	1,949 ms; 54,544 KB
testcase_78	AC	1,944 ms; 57,048 KB
testcase_79	AC	1,940 ms; 56,836 KB
testcase_80	AC	1,940 ms; 56,652 KB
testcase_81	AC	1,943 ms; 58,488 KB
testcase_82	AC	1,941 ms; 56,592 KB
testcase_83	AC	1,945 ms; 57,056 KB
testcase_84	AC	1,941 ms; 56,652 KB
testcase_85	AC	1,941 ms; 54,608 KB
testcase_86	AC	1,946 ms; 56,672 KB
testcase_87	AC	1,939 ms; 57,168 KB
testcase_88	AC	1,946 ms; 56,852 KB
testcase_89	AC	1,949 ms; 54,644 KB
testcase_90	AC	1,945 ms; 56,380 KB
testcase_91	AC	1,941 ms; 57,032 KB
testcase_92	AC	1,943 ms; 56,084 KB
testcase_93	AC	1,944 ms; 56,540 KB
testcase_94	AC	1,942 ms; 56,540 KB
testcase_95	AC	1,943 ms; 54,548 KB
testcase_96	AC	1,946 ms; 56,500 KB
testcase_97	AC	1,937 ms; 56,572 KB
testcase_98	AC	1,942 ms; 56,752 KB
testcase_99	AC	1,937 ms; 57,168 KB

ソースコード

import java.util.Arrays;
import java.util.Scanner;

public class Main {
    private long[] coef = new long[] { 1L, 1L << 6, 1L << 12, 1L << 18, 1L << 24, 1L << 30, };
    private int[] dice_mask = new int[36];
    private long[] dice_count = new long[36];
    private int score = (int) -1e18;
    private int[][] table = new int[6][6];
    private int bestScore = (int) -1e18;
    private int[][] bestTable = new int[6][6];
    private SAState sa = new SAState();
    private int[] part_score_row = new int[6];
    private long[] counts_row = new long[6];
    private int[] part_score_column = new int[6];
    private long[] counts_column = new long[6];
    private int[][] remove_row = new int[6][6];
    private int[][] remove_column = new int[6][6];

    public static void main(String[] args) throws Exception {
        new Main().run();
    }

    private void run() {
        read();
        solve();
        write();
    }

    private void read() {
        try (final Scanner in = new Scanner(System.in)) {
            for (int i = 0; i < 36; i++) {
                for (int j = 0; j < 6; j++) {
                    int dice = in.nextInt() - 1;
                    dice_mask[i] |= (1 << dice);
                    dice_count[i] += coef[dice];
                    if (i == 0 && j == 0) {
                        Constants.watch.init();
                    }
                }
            }
        } catch (Exception e) {
            e.printStackTrace();
        }
    }

    private void solve() {
        greedy();
        multiSA();
        Utils.debug(bestScore, sa.numIterations);
    }

    private void greedy() {
        for (int r = 0; r < 6; r++) {
            for (int c = 0; c < 6; c++) {
                table[r][c] = r * 6 + c;
                counts_row[r] += dice_count[table[r][c]];
                counts_column[c] += dice_count[table[r][c]];
            }
        }
        update_remove();
        score = calculateScore();
        saveBest();
    }

    private void saveBest() {
        if (score > bestScore) {
            bestScore = score;
            for (int r = 0; r < 6; r++) {
                for (int c = 0; c < 6; c++) {
                    bestTable[r][c] = table[r][c];
                }
            }
        }
    }

    private void restoreBest() {
        for (int i = 0; i < 6; i++) {
            counts_row[i] = 0;
            counts_column[i] = 0;
        }
        for (int r = 0; r < 6; r++) {
            for (int c = 0; c < 6; c++) {
                table[r][c] = bestTable[r][c];
                counts_row[r] += dice_count[table[r][c]];
                counts_column[c] += dice_count[table[r][c]];
            }
        }
        update_remove();
        score = calculateScore();
    }

    private void multiSA() {
        int numRestart = 100;
        double startTime = Constants.watch.getSecond();
        double endTime = 1.8;
        double remainTime = endTime - startTime;
        double startStartTemperature = 2;
        double endStartTemperature = 0.5;
        for (double restart = 0; restart < numRestart; restart++) {
            sa.startTime = startTime + remainTime * restart / numRestart;
            sa.endTime = startTime + remainTime * (restart + 1) / numRestart;
            sa.startTemperature = endStartTemperature + (startStartTemperature - endStartTemperature) * ((numRestart - restart) / numRestart);
            sa.endTemperature = 0.5;
            SA();
            restoreBest();
        }
    }

    private void SA() {
        sa.init();
        for (;; ++sa.numIterations) {
            if ((sa.numIterations & ((1 << 10) - 1)) == 0) {
                sa.update();
                if (sa.isTLE()) {
                    break;
                }
            }
            mutate();
        }
    }

    private void mutate() {
        swap();
    }

    private void swap() {
        int v1 = sa.numIterations % 36;
        final int r1 = v1 / 6;
        final int c1 = v1 % 6;
        int v2 = Constants.RNG.nextInt(35);
        if (v2 >= v1) {
            v2++;
        }
        final int r2 = v2 / 6;
        final int c2 = v2 % 6;
        final int current1 = table[r1][c1];
        final int current2 = table[r2][c2];
        int before = 0;
        int after = 0;
        int after_r1 = 0;
        int after_r2 = 0;
        int after_c1 = 0;
        int after_c2 = 0;
        if (r2 != r1) {
            before += part_score_row[r1];
            before += part_score_row[r2];
            after_r1 = partScore(remove_row[r1][c1] & dice_mask[current2], counts_row[r1] - dice_count[current1] + dice_count[current2]);
            after_r2 = partScore(remove_row[r2][c2] & dice_mask[current1], counts_row[r2] - dice_count[current2] + dice_count[current1]);
            after += after_r1;
            after += after_r2;
        }
        if (c2 != c1) {
            before += part_score_column[c1];
            before += part_score_column[c2];
            after_c1 = partScore(remove_column[r1][c1] & dice_mask[current2], counts_column[c1] - dice_count[current1] + dice_count[current2]);
            after_c2 = partScore(remove_column[r2][c2] & dice_mask[current1], counts_column[c2] - dice_count[current2] + dice_count[current1]);
            after += after_c1;
            after += after_c2;
        }
        int deltaScore = after - before;
        if (sa.accept(deltaScore)) {
            score += deltaScore;
            table[r1][c1] = current2;
            table[r2][c2] = current1;
            if (r2 != r1) {
                part_score_row[r1] = after_r1;
                part_score_row[r2] = after_r2;
                counts_row[r1] -= dice_count[current1];
                counts_row[r2] -= dice_count[current2];
                counts_row[r1] += dice_count[current2];
                counts_row[r2] += dice_count[current1];
            }
            if (c2 != c1) {
                part_score_column[c1] = after_c1;
                part_score_column[c2] = after_c2;
                counts_column[c1] -= dice_count[current1];
                counts_column[c2] -= dice_count[current2];
                counts_column[c1] += dice_count[current2];
                counts_column[c2] += dice_count[current1];
            }
            update_remove(r1, c1, r2, c2);
            saveBest();
        } else {
        }
    }

    private void update_remove() {
        for (int r = 0; r < 6; r++) {
            for (int c = 0; c < 6; c++) {
                {
                    int mask = -1;
                    for (int r2 = 0; r2 < 6; r2++) {
                        if (r2 == r) {
                            continue;
                        }
                        mask &= dice_mask[table[r2][c]];
                    }
                    remove_column[r][c] = mask;
                }
                {
                    int mask = -1;
                    for (int c2 = 0; c2 < 6; c2++) {
                        if (c2 == c) {
                            continue;
                        }
                        mask &= dice_mask[table[r][c2]];
                    }
                    remove_row[r][c] = mask;
                }
            }
        }
    }

    private void update_remove(int r3, int c3, int r4, int c4) {
        {
            int r = r3;
            for (int c = 0; c < 6; c++) {
                {
                    int mask = -1;
                    for (int r2 = 0; r2 < 6; r2++) {
                        if (r2 == r) {
                            continue;
                        }
                        mask &= dice_mask[table[r2][c]];
                    }
                    remove_column[r][c] = mask;
                }
                {
                    int mask = -1;
                    for (int c2 = 0; c2 < 6; c2++) {
                        if (c2 == c) {
                            continue;
                        }
                        mask &= dice_mask[table[r][c2]];
                    }
                    remove_row[r][c] = mask;
                }
            }
        }
        {
            int r = r4;
            for (int c = 0; c < 6; c++) {
                {
                    int mask = -1;
                    for (int r2 = 0; r2 < 6; r2++) {
                        if (r2 == r) {
                            continue;
                        }
                        mask &= dice_mask[table[r2][c]];
                    }
                    remove_column[r][c] = mask;
                }
                {
                    int mask = -1;
                    for (int c2 = 0; c2 < 6; c2++) {
                        if (c2 == c) {
                            continue;
                        }
                        mask &= dice_mask[table[r][c2]];
                    }
                    remove_row[r][c] = mask;
                }
            }
        }
        {
            int c = c3;
            for (int r = 0; r < 6; r++) {
                {
                    int mask = -1;
                    for (int r2 = 0; r2 < 6; r2++) {
                        if (r2 == r) {
                            continue;
                        }
                        mask &= dice_mask[table[r2][c]];
                    }
                    remove_column[r][c] = mask;
                }
                {
                    int mask = -1;
                    for (int c2 = 0; c2 < 6; c2++) {
                        if (c2 == c) {
                            continue;
                        }
                        mask &= dice_mask[table[r][c2]];
                    }
                    remove_row[r][c] = mask;
                }
            }
        }
        {
            int c = c4;
            for (int r = 0; r < 6; r++) {
                {
                    int mask = -1;
                    for (int r2 = 0; r2 < 6; r2++) {
                        if (r2 == r) {
                            continue;
                        }
                        mask &= dice_mask[table[r2][c]];
                    }
                    remove_column[r][c] = mask;
                }
                {
                    int mask = -1;
                    for (int c2 = 0; c2 < 6; c2++) {
                        if (c2 == c) {
                            continue;
                        }
                        mask &= dice_mask[table[r][c2]];
                    }
                    remove_row[r][c] = mask;
                }
            }
        }
    }

    private int calculateScore() {
        int score = 0;
        for (int r = 0; r < 6; r++) {
            final int partScoreRow = partScoreRow(r);
            part_score_row[r] = partScoreRow;
            score += partScoreRow;
        }
        for (int c = 0; c < 6; c++) {
            final int partScoreColumn = partScoreColumn(c);
            part_score_column[c] = partScoreColumn;
            score += partScoreColumn;
        }
        return score;
    }

    private int partScoreRow(int r) {
        int mask = dice_mask[table[r][0]] & dice_mask[table[r][1]] & dice_mask[table[r][2]] & dice_mask[table[r][3]] & dice_mask[table[r][4]] & dice_mask[table[r][5]];
        final long v = counts_row[r];
        return partScore(mask, v);
    }

    private int partScoreColumn(int c) {
        int mask = dice_mask[table[0][c]] & dice_mask[table[1][c]] & dice_mask[table[2][c]] & dice_mask[table[3][c]] & dice_mask[table[4][c]] & dice_mask[table[5][c]];
        final long v = counts_column[c];
        return partScore(mask, v);
    }

    private int partScore(int mask, final long v) {
        return (int) (((mask & (1 << 0)) == 0 ? 0 : -3 + (v & 63)) + ((mask & (1 << 1)) == 0 ? 0 : -3 + ((v >>> 6) & 63)) + ((mask & (1 << 2)) == 0 ? 0 : -3 + ((v >>> 12) & 63)) + ((mask & (1 << 3)) == 0 ? 0 : -3 + ((v >>> 18) & 63)) + ((mask & (1 << 4)) == 0 ? 0 : -3 + ((v >>> 24) & 63)) + ((mask & (1 << 5)) == 0 ? 0 : -3 + ((v >>> 30) & 63)));
    }

    private void write() {
        String[] s = new String[36];
        for (int i = 0; i < s.length; i++) {
            s[i] = "";
        }
        for (int r = 0; r < 6; r++) {
            for (int c = 0; c < 6; c++) {
                s[bestTable[r][c]] = (r + 1) + " " + (c + 1);
            }
        }
        StringBuilder sb = new StringBuilder();
        for (int i = 0; i < 36; i++) {
            sb.append(s[i]).append('\n');
        }
        System.out.print(sb.toString());
        System.out.flush();
    }
}

class SAState {
    public static final boolean useTime = true;
    public double startTime;
    public double endTime;
    public double time;
    public double startTemperature;
    public double endTemperature;
    public double inverseTemperature;
    public double lastAcceptTemperature;
    public double startRange;
    public double endRange;
    public double range;
    public int numIterations;
    public int validIterations;
    public int acceptIterations;
    private double[] log = new double[32768];

    public SAState() {
        for (int i = 0; i < log.length; i++) {
            log[i] = Math.log((i + 0.5) / log.length);
        }
    }

    public void init() {
        numIterations = 0;
        validIterations = 0;
        acceptIterations = 0;
        startTime = useTime ? Constants.watch.getSecond() : numIterations;
        update();
        lastAcceptTemperature = inverseTemperature;
    }

    public void update() {
        updateTime();
        updateTemperature();
    }

    public boolean useExp = !true;

    public void updateTemperature() {
        if (useExp) {
            double time0to1 = elapsedPercentage(startTime, endTime, time);
            double startY = startTemperature;
            double endY = endTemperature;
            double startX = Math.log(startY);
            double endX = Math.log(endY);
            double xStartToEnd = interpolate(startX, endX, time0to1);
            double temperature = Math.exp(xStartToEnd);
            inverseTemperature = 1.0 / temperature;
        } else {
            double time0to1 = elapsedPercentage(startTime, endTime, time);
            double startY = startTemperature;
            double endY = endTemperature;
            double temperature = interpolate(startY, endY, time0to1);
            inverseTemperature = 1.0 / temperature;
        }
    }

    private double elapsedPercentage(double min, double max, double v) {
        return (v - min) / (max - min);
    }

    private double interpolate(double v0, double v1, double d0to1) {
        return v0 + (v1 - v0) * d0to1;
    }

    public void updateRange() {
        range = endRange + (startRange - endRange) * Math.pow((endTime - time) / (endTime - startTime), 1.0);
    }

    public void updateTime() {
        time = useTime ? Constants.watch.getSecond() : numIterations;
    }

    public boolean isTLE() {
        return time >= endTime;
    }

    public boolean accept(double deltaScore) {
        return acceptB(deltaScore);
    }

    public boolean acceptB(double deltaScore) {
        validIterations++;
        if (deltaScore > -1e-9) {
            acceptIterations++;
            return true;
        }
        double d = deltaScore * inverseTemperature;
        if (d < -10) {
            return false;
        }
        if (log[Constants.RNG.nextInt() & 32767] < d) {
            acceptIterations++;
            lastAcceptTemperature = inverseTemperature;
            return true;
        }
        return false;
    }

    public boolean acceptS(double deltaScore) {
        validIterations++;
        if (deltaScore < 1e-9) {
            acceptIterations++;
            return true;
        }
        double d = -deltaScore * inverseTemperature;
        if (d < -10) {
            return false;
        }
        if (log[Constants.RNG.nextInt() & 32767] < d) {
            acceptIterations++;
            lastAcceptTemperature = inverseTemperature;
            return true;
        }
        return false;
    }
}

final class Utils {
    private Utils() {
    }

    public static final void debug(Object... o) {
        System.err.println(toString(o));
        System.err.flush();
    }

    public static final String toString(Object... o) {
        return Arrays.deepToString(o);
    }

    public static boolean isValid(int v, int min, int minUpper) {
        return v >= min && v < minUpper;
    }
}

class Watch {
    private long start;

    public Watch() {
        init();
    }

    public double getSecond() {
        return (System.nanoTime() - start) * 1e-9;
    }

    public void init() {
        init(System.nanoTime());
    }

    private void init(long start) {
        this.start = start;
    }

    public String getSecondString() {
        return toString(getSecond());
    }

    public static final String toString(double second) {
        if (second < 60) {
            return String.format("%5.2fs", second);
        } else if (second < 60 * 60) {
            int minute = (int) (second / 60);
            return String.format("%2dm%2ds", minute, (int) (second % 60));
        } else {
            int hour = (int) (second / (60 * 60));
            int minute = (int) (second / 60);
            return String.format("%2dh%2dm%2ds", hour, minute % (60), (int) (second % 60));
        }
    }
}

interface Constants {
    Watch watch = new Watch();
    PCG_XSH_RR RNG = new PCG_XSH_RR(System.nanoTime());
}

final class PCG_XSH_RR {
    private long state = 5342;

    public PCG_XSH_RR(final long state) {
        this.state = state;
    }

    public int nextInt() {
        final long oldstate = state;
        state = oldstate * 6364136223846793005L + 521L;
        final int xorshift = (int) (((oldstate >>> 18) ^ oldstate) >>> 27);
        final int rotation = (int) (oldstate >>> 59);
        return (xorshift >>> rotation) | (xorshift << (-rotation & 31));
    }

    public int nextInt(int n) {
        return (int) (n * nextDouble());
    }

    public double nextDouble() {
        return (nextInt() >>> 1) * 4.6566128730773926E-10;
    }
}