結果

問題 No.767 配られたジャパリまん
ユーザー hiromi_ayasehiromi_ayase
提出日時 2018-12-25 18:15:39
言語 Java21
(openjdk 21)
結果
AC  
実行時間 935 ms / 2,000 ms
コード長 4,998 bytes
コンパイル時間 2,794 ms
コンパイル使用メモリ 88,300 KB
実行使用メモリ 78,404 KB
最終ジャッジ日時 2024-04-08 22:38:10
合計ジャッジ時間 7,620 ms
ジャッジサーバーID
(参考情報)
judge14 / judge13
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 103 ms
57,484 KB
testcase_01 AC 105 ms
57,492 KB
testcase_02 AC 106 ms
57,564 KB
testcase_03 AC 106 ms
57,464 KB
testcase_04 AC 118 ms
57,696 KB
testcase_05 AC 297 ms
65,408 KB
testcase_06 AC 101 ms
57,472 KB
testcase_07 AC 100 ms
57,480 KB
testcase_08 AC 99 ms
57,480 KB
testcase_09 AC 114 ms
57,692 KB
testcase_10 AC 242 ms
64,248 KB
testcase_11 AC 122 ms
57,688 KB
testcase_12 AC 132 ms
57,960 KB
testcase_13 AC 262 ms
64,392 KB
testcase_14 AC 116 ms
57,592 KB
testcase_15 AC 108 ms
57,580 KB
testcase_16 AC 128 ms
57,860 KB
testcase_17 AC 111 ms
57,468 KB
testcase_18 AC 118 ms
57,584 KB
testcase_19 AC 172 ms
60,980 KB
testcase_20 AC 935 ms
78,404 KB
権限があれば一括ダウンロードができます

ソースコード

diff #

import java.util.Arrays;

public class Main {
  private static void solve() {
    int h = ni();
    int w = ni();
    int k = ni();
    int[][] p = new int[k][4];
    for (int i = 0; i < k; i++) {
      p[i][0] = i;
      p[i][1] = ni();
      p[i][2] = ni();
    }


    Arrays.sort(p, (o1, o2) -> o1[1] == o2[1] ? o1[2] - o2[2] : o1[1] - o2[1]);
    for (int i = 0; i < k; i++) {
      p[i][3] = i;
    }
    int mod = 100000000 + 7;
    long[] dp = new long[1 << k];
    int[][] fif = enumFIF(300000, mod);

    outer: for (int i = 0; i < (1 << k); i++) {
      long x = 1;
      int[] last = new int[] {0, 0, 0};
      for (int j = 0; j < k; j++) {
        if (((i >> j) & 1) == 0)
          continue;

        int[] now = p[j];
        if (last[2] > now[2])
          continue outer;
        int dh = now[1] - last[1];
        int dw = now[2] - last[2];
        x *= CX(dh + dw, dh, mod, fif);
        x %= mod;
        last = p[j];
      }
      int dh = h - last[1];
      int dw = w - last[2];
      x *= CX(dh + dw, dh, mod, fif);
      x %= mod;

      dp[i] = x;
    }

    for (int i = 0; i < k; i++) {
      for (int j = 0; j < (1 << k); j++) {
        if ((j & (1 << i)) != 0) {
          dp[j] = dp[j] + mod - dp[j ^ (1 << i)];
          dp[j] %= mod;
        }
      }
    }
    Arrays.sort(p, (o1, o2) -> o1[0] - o2[0]);
    for (int i = 0; i < (1 << k); i++) {
      int x = 0;
      int cnt = 0;
      for (int j = 0; j < k; j++) {
        if (((i >> j) & 1) != 0) {
          x |= 1 << p[j][3];
          cnt ++;
        }
      }
      if (cnt % 2 == 1) {
        dp[x] = mod - dp[x];
      }
      out.println(dp[x]);
    }
  }

  public static long CX(long n, long r, int p, int[][] fif) {
    if (n < 0 || r < 0 || r > n)
      return 0;
    int np = (int) (n % p), rp = (int) (r % p);
    if (np < rp)
      return 0;
    if (n == 0 && r == 0)
      return 1;
    int nrp = np - rp;
    if (nrp < 0)
      nrp += p;
    return (long) fif[0][np] * fif[1][rp] % p * fif[1][nrp] % p * CX(n / p, r / p, p, fif) % p;
  }

  public static int[][] enumFIF(int n, int mod) {
    int[] f = new int[n + 1];
    int[] invf = new int[n + 1];
    f[0] = 1;
    for (int i = 1; i <= n; i++) {
      f[i] = (int) ((long) f[i - 1] * i % mod);
    }
    long a = f[n];
    long b = mod;
    long p = 1, q = 0;
    while (b > 0) {
      long c = a / b;
      long d;
      d = a;
      a = b;
      b = d % b;
      d = p;
      p = q;
      q = d - c * q;
    }
    invf[n] = (int) (p < 0 ? p + mod : p);
    for (int i = n - 1; i >= 0; i--) {
      invf[i] = (int) ((long) invf[i + 1] * (i + 1) % mod);
    }
    return new int[][] {f, invf};
  }


  public static void main(String[] args) {
    new Thread(null, new Runnable() {
      @Override
      public void run() {
        long start = System.currentTimeMillis();
        String debug = args.length > 0 ? args[0] : null;
        if (debug != null) {
          try {
            is = java.nio.file.Files.newInputStream(java.nio.file.Paths.get(debug));
          } catch (Exception e) {
            throw new RuntimeException(e);
          }
        }
        reader = new java.io.BufferedReader(new java.io.InputStreamReader(is), 32768);
        solve();
        out.flush();
        tr((System.currentTimeMillis() - start) + "ms");
      }
    }, "", 64000000).start();
  }

  private static java.io.InputStream is = System.in;
  private static java.io.PrintWriter out = new java.io.PrintWriter(System.out);
  private static java.util.StringTokenizer tokenizer = null;
  private static java.io.BufferedReader reader;

  public static String next() {
    while (tokenizer == null || !tokenizer.hasMoreTokens()) {
      try {
        tokenizer = new java.util.StringTokenizer(reader.readLine());
      } catch (Exception e) {
        throw new RuntimeException(e);
      }
    }
    return tokenizer.nextToken();
  }

  private static double nd() {
    return Double.parseDouble(next());
  }

  private static long nl() {
    return Long.parseLong(next());
  }

  private static int[] na(int n) {
    int[] a = new int[n];
    for (int i = 0; i < n; i++)
      a[i] = ni();
    return a;
  }

  private static char[] ns() {
    return next().toCharArray();
  }

  private static long[] nal(int n) {
    long[] a = new long[n];
    for (int i = 0; i < n; i++)
      a[i] = nl();
    return a;
  }

  private static int[][] ntable(int n, int m) {
    int[][] table = new int[n][m];
    for (int i = 0; i < n; i++) {
      for (int j = 0; j < m; j++) {
        table[i][j] = ni();
      }
    }
    return table;
  }

  private static int[][] nlist(int n, int m) {
    int[][] table = new int[m][n];
    for (int i = 0; i < n; i++) {
      for (int j = 0; j < m; j++) {
        table[j][i] = ni();
      }
    }
    return table;
  }

  private static int ni() {
    return Integer.parseInt(next());
  }

  private static void tr(Object... o) {
    if (is != System.in)
      System.out.println(java.util.Arrays.deepToString(o));
  }
}
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