結果

問題 No.590 Replacement
ユーザー 👑 hos.lyrichos.lyric
提出日時 2019-01-26 16:36:45
言語 D
(dmd 2.107.1)
結果
AC  
実行時間 101 ms / 2,000 ms
コード長 3,984 bytes
コンパイル時間 814 ms
コンパイル使用メモリ 122,112 KB
実行使用メモリ 19,672 KB
最終ジャッジ日時 2023-09-03 23:08:16
合計ジャッジ時間 5,141 ms
ジャッジサーバーID
（参考情報） 		judge14 / judge11
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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 1 ms
4,376 KB
testcase_01 AC 1 ms
4,376 KB
testcase_02 AC 1 ms
4,376 KB
testcase_03 AC 1 ms
4,376 KB
testcase_04 AC 1 ms
4,376 KB
testcase_05 AC 2 ms
4,376 KB
testcase_06 AC 1 ms
4,376 KB
testcase_07 AC 7 ms
4,380 KB
testcase_08 AC 4 ms
4,380 KB
testcase_09 AC 7 ms
4,376 KB
testcase_10 AC 5 ms
4,380 KB
testcase_11 AC 2 ms
4,376 KB
testcase_12 AC 7 ms
4,376 KB
testcase_13 AC 33 ms
6,696 KB
testcase_14 AC 48 ms
9,536 KB
testcase_15 AC 3 ms
4,380 KB
testcase_16 AC 13 ms
5,268 KB
testcase_17 AC 21 ms
5,832 KB
testcase_18 AC 77 ms
14,100 KB
testcase_19 AC 75 ms
14,420 KB
testcase_20 AC 20 ms
6,800 KB
testcase_21 AC 94 ms
17,196 KB
testcase_22 AC 89 ms
16,744 KB
testcase_23 AC 97 ms
17,104 KB
testcase_24 AC 98 ms
16,840 KB
testcase_25 AC 98 ms
18,244 KB
testcase_26 AC 99 ms
18,328 KB
testcase_27 AC 97 ms
19,164 KB
testcase_28 AC 100 ms
17,136 KB
testcase_29 AC 101 ms
18,980 KB
testcase_30 AC 100 ms
17,304 KB
testcase_31 AC 97 ms
16,908 KB
testcase_32 AC 96 ms
17,164 KB
testcase_33 AC 2 ms
4,376 KB
testcase_34 AC 1 ms
4,380 KB
testcase_35 AC 1 ms
4,376 KB
testcase_36 AC 79 ms
16,548 KB
testcase_37 AC 79 ms
17,776 KB
testcase_38 AC 73 ms
18,600 KB
testcase_39 AC 74 ms
16,548 KB
testcase_40 AC 99 ms
17,776 KB
testcase_41 AC 99 ms
17,928 KB
testcase_42 AC 89 ms
16,680 KB
testcase_43 AC 91 ms
18,888 KB
testcase_44 AC 71 ms
17,684 KB
testcase_45 AC 77 ms
19,672 KB
testcase_46 AC 76 ms
16,708 KB
権限があれば一括ダウンロードができます
コンパイルメッセージ
/dmd2/linux/bin64/../../src/phobos/std/numeric.d(2999): Warning: cannot inline function `std.numeric.gcdImpl!ulong.gcdImpl`

ソースコード

diff # 

import std.conv, std.stdio, std.string;
import std.algorithm, std.array, std.bigint, std.container, std.math, std.numeric, std.range, std.regex, std.typecons;
import core.bitop;

class EOFException : Throwable { this() { super("EOF"); } }
string[] tokens;
string readToken() { for (; tokens.empty; ) { if (stdin.eof) { throw new EOFException; } tokens = readln.split; } auto token = tokens.front; tokens.popFront; return token; }
int readInt() { return readToken.to!int; }
long readLong() { return readToken.to!long; }
real readReal() { return readToken.to!real; }

bool chmin(T)(ref T t, in T f) { if (t > f) { t = f; return true; } else { return false; } }
bool chmax(T)(ref T t, in T f) { if (t < f) { t = f; return true; } else { return false; } }

int binarySearch(T)(in T[] as, in bool delegate(T) test) { int low = -1, upp = cast(int)(as.length); for (; low + 1 < upp; ) { int mid = (low + upp) >> 1; (test(as[mid]) ? low : upp) = mid; } return upp; }
int lowerBound(T)(in T[] as, in T val) { return as.binarySearch((T a) => (a < val)); }
int upperBound(T)(in T[] as, in T val) { return as.binarySearch((T a) => (a <= val)); }


Int mod(Int)(Int a, Int m) {
  if ((a %= m) < 0) a += m; return a;
}
Int gojo(Int)(Int a, Int b, out Int x, out Int y) {
  if (b != 0) { Int g = gojo(b, a % b, y, x); y -= (a / b) * x; return g; }
  x = 1; y = 0; return a;
}


enum MO = 10L^^9 + 7;

void main() {
  try {
    for (; ; ) {
      const N = readInt();
      auto A = new int[][](2, N);
      foreach (h; 0 .. 2) {
        foreach (i; 0 .. N) {
          A[h][i] = readInt() - 1;
        }
      }
      
      auto lens = new long[][](2, N);
      auto rprs = new int[][](2, N);
      auto poss = new long[][](2, N);
      foreach (h; 0 .. 2) {
        auto vis = new bool[N];
        foreach (i; 0 .. N) {
          if (!vis[i]) {
            for (int j = i; !vis[j]; j = A[h][j]) {
              vis[j] = true;
              rprs[h][j] = i;
              poss[h][j] = lens[h][i]++;
            }
          }
        }
      }
      debug {
        writeln("lens = ", lens);
        writeln("rprs = ", rprs);
        writeln("poss = ", poss);
      }
      auto entries = new Tuple!(int, int, long, int)[N];
      foreach (i; 0 .. N) {
        const m0 = lens[0][rprs[0][i]];
        const m1 = lens[1][rprs[1][i]];
        const g = gcd(m0, m1);
        entries[i] = tuple(rprs[0][i], rprs[1][i], mod(poss[1][i] - poss[0][i], g), i);
      }
      entries.sort;
      long ans;
      for (int a = 0, b = 0; a < N; a = b) {
        for (; b < N && entries[a][0 .. 3] == entries[b][0 .. 3]; ++b) {}
        const m0 = lens[0][entries[a][0]];
        const m1 = lens[1][entries[a][1]];
        const d = entries[a][2];
        long x, y;
        const g = gojo(m0, m1, x, y);
        const mm = m0 * (m1 / g);
        debug {
          writeln("entries[a .. b] = ", entries[a .. b]);
          writefln("m0 = %s, m1 = %s, g = %s, x = %s, y = %s", m0, m1, g, x, y);
        }
        long[] ts;
        foreach (c; a .. b) {
          const i = entries[c][3];
          debug {
            writefln("  %s: (%s, %s)", i, poss[0][i], poss[1][i]);
          }
          /*
            t == poss[0][i] (m0)
            d + t == poss[1][i] (m1)
          */
          const t0 = poss[0][i];
          const t1 = mod(poss[1][i] - d, m1);
          assert((t1 - t0) % g == 0);
          const t = mod(t0 + m0 * mod(x * ((t1 - t0) / g), m1 / g), mm);
          assert(t % m0 == poss[0][i]);
          assert((d + t) % m1 == poss[1][i]);
          ts ~= t;
        }
        ts.sort;
        debug {
          writeln("  ts = ", ts);
        }
        foreach (j; 0 .. ts.length) {
          long k = mod(ts[(j + 1) % $] - ts[j], mm);
          if (k == 0) {
            k = mm;
          }
          long k0 = k, k1 = k - 1;
          ((k0 % 2 == 0) ? k0 : k1) /= 2;
          (ans += (k0 % MO) * (k1 % MO)) %= MO;
        }
      }
      writeln(ans);
    }
  } catch (EOFException e) {
  }
}
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