結果

問題 No.1241 Eternal Tours
ユーザー 👑 hos.lyrichos.lyric
提出日時 2020-09-06 15:14:44
言語 Java21
(openjdk 21)
結果
AC  
実行時間 923 ms / 6,000 ms
コード長 3,606 bytes
コンパイル時間 3,141 ms
コンパイル使用メモリ 80,832 KB
実行使用メモリ 84,008 KB
最終ジャッジ日時 2024-11-29 11:05:30
合計ジャッジ時間 20,919 ms
ジャッジサーバーID
(参考情報)
judge5 / judge4
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 118 ms
54,092 KB
testcase_01 AC 120 ms
54,052 KB
testcase_02 AC 418 ms
71,340 KB
testcase_03 AC 105 ms
52,352 KB
testcase_04 AC 111 ms
53,284 KB
testcase_05 AC 118 ms
53,964 KB
testcase_06 AC 116 ms
54,032 KB
testcase_07 AC 121 ms
53,952 KB
testcase_08 AC 120 ms
54,240 KB
testcase_09 AC 125 ms
54,200 KB
testcase_10 AC 120 ms
53,980 KB
testcase_11 AC 119 ms
53,964 KB
testcase_12 AC 116 ms
54,104 KB
testcase_13 AC 118 ms
54,064 KB
testcase_14 AC 447 ms
66,496 KB
testcase_15 AC 104 ms
54,116 KB
testcase_16 AC 351 ms
62,260 KB
testcase_17 AC 866 ms
82,092 KB
testcase_18 AC 663 ms
75,580 KB
testcase_19 AC 702 ms
71,224 KB
testcase_20 AC 132 ms
53,364 KB
testcase_21 AC 147 ms
54,072 KB
testcase_22 AC 742 ms
79,424 KB
testcase_23 AC 164 ms
54,368 KB
testcase_24 AC 104 ms
53,124 KB
testcase_25 AC 117 ms
54,232 KB
testcase_26 AC 100 ms
52,692 KB
testcase_27 AC 116 ms
54,120 KB
testcase_28 AC 616 ms
71,328 KB
testcase_29 AC 392 ms
71,364 KB
testcase_30 AC 444 ms
71,324 KB
testcase_31 AC 312 ms
64,188 KB
testcase_32 AC 851 ms
81,804 KB
testcase_33 AC 789 ms
72,544 KB
testcase_34 AC 661 ms
71,380 KB
testcase_35 AC 592 ms
71,280 KB
testcase_36 AC 117 ms
53,776 KB
testcase_37 AC 105 ms
53,104 KB
testcase_38 AC 838 ms
72,568 KB
testcase_39 AC 777 ms
70,120 KB
testcase_40 AC 715 ms
71,332 KB
testcase_41 AC 923 ms
84,008 KB
testcase_42 AC 773 ms
70,136 KB
testcase_43 AC 697 ms
71,380 KB
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ソースコード

diff #

import static java.lang.Math.*;
import static java.math.BigInteger.*;
import static java.util.Arrays.*;
import static java.util.Collections.*;
import java.math.*;
import java.util.*;
import java.io.*;

public class Main {
  public static void main(String[] args) { new Main().run(); }
  Scanner in = new Scanner(System.in);
  void _out(Object...os) { System.out.println(deepToString(os)); }
  void _err(Object...os) { System.err.println(deepToString(os)); }
  
  final long MO = 998244353;
  final long G = 3;
  
  void run() {
    for (; in.hasNext(); ) {
      int X = in.nextInt();
      int Y = in.nextInt();
      long T = in.nextLong();
      int A = in.nextInt();
      int B = in.nextInt();
      int C = in.nextInt();
      int D = in.nextInt();
      
      int m = 1 << (X + 1);
      int n = 1 << (Y + 1);
      
      long[] gms = new long[m];
      long[] gns = new long[n];
      gms[0] = 1;
      gns[0] = 1;
      gms[1] = power(G, (MO - 1) / m);
      gns[1] = power(G, (MO - 1) / n);
      for (int i = 2; i < m; ++i) {
        gms[i] = (gms[i - 1] * gms[1]) % MO;
      }
      for (int i = 2; i < n; ++i) {
        gns[i] = (gns[i - 1] * gns[1]) % MO;
      }
      
      long[][] f = new long[m][n];
      f[0][0] = f[1][0] = f[0][1] = f[m - 1][0] = f[0][n - 1] = 1;
      
      for (int x = 0; x < m; ++x) {
        fft(n, gns, f[x]);
      }
      for (int y = 0; y < n; ++y) {
        long[] work = new long[m];
        for (int x = 0; x < m; ++x) {
          work[x] = f[x][y];
        }
        fft(m, gms, work);
        for (int x = 0; x < m; ++x) {
          f[x][y] = work[x];
        }
      }
      
      long TT = 1 + (T - 1) % (MO - 1);
      for (int x = 0; x < m; ++x) for (int y = 0; y < n; ++y) {
        f[x][y] = power(f[x][y], TT);
      }
      
      for (int i = 1; i < m - i; ++i) {
        long t = gms[i];
        gms[i] = gms[m - i];
        gms[m - i] = t;
      }
      for (int i = 1; i < n - i; ++i) {
        long t = gns[i];
        gns[i] = gns[n - i];
        gns[n - i] = t;
      }
      for (int x = 0; x < m; ++x) {
        fft(n, gns, f[x]);
      }
      for (int y = 0; y < n; ++y) {
        long[] work = new long[m];
        for (int x = 0; x < m; ++x) {
          work[x] = f[x][y];
        }
        fft(m, gms, work);
        for (int x = 0; x < m; ++x) {
          f[x][y] = work[x];
        }
      }
      long invMN = power((1L * m * n) % MO, MO - 2);
      for (int x = 0; x < m; ++x) for (int y = 0; y < n; ++y) {
        f[x][y] = (f[x][y] * invMN) % MO;
      }
      
      long ans = 0;
      for (int s : new int[]{+1, -1}) for (int t : new int[]{+1, -1}) {
        int dx = (s * C - A) & (m - 1);
        int dy = (t * D - B) & (n - 1);
        ans += s * t * f[dx][dy];
      }
      ans = (ans % MO + MO) % MO;
      System.out.println(ans);
    }
  }
  
  long power(long a, long e) {
    if (e == 0) {
      return 1 % MO;
    } else {
      long b = power(a, e / 2);
      b = (b * b) % MO;
      if (e % 2 != 0) {
        b = (b * a) % MO;
      }
      return b;
    }
  }
  
  void fft(int n, long[] gs, long[] xs) {
    for (int l = n, shift = 0; (l /= 2) >= 1; ++shift) {
      for (int i = 0; i < l; ++i) {
        for (int j = i; j < n; j += l * 2) {
          long t = (xs[j] - xs[j + l]) % MO;
          xs[j] = (xs[j] + xs[j + l]) % MO;
          xs[j + l] = (gs[i << shift] * t) % MO;
        }
      }
    }
    for (int i = 0, j = 1; j < n; ++j) {
      for (int k = n / 2; k > (i ^= k); k /= 2) {}
      if (j < i) {
        long t = xs[i];
        xs[i] = xs[j];
        xs[j] = t;
      }
    }
  }
}
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