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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#588122#7306. Multi-stage MarathonUrdAC ✓118ms11716kbC++172.7kb2024-09-25 01:45:262024-09-25 01:45:27

Judging History

This is the latest submission verdict.

  • [2024-09-25 01:45:27]
  • Judged
  • Verdict: AC
  • Time: 118ms
  • Memory: 11716kb
  • [2024-09-25 01:45:26]
  • Submitted

answer

#include <bits/stdc++.h>
#define ALL(v) begin(v), end(v)

using i64 = int64_t;

const int kMaxN = 75, kMaxT = 2E6 + 5, kMod = 1E9 + 7;
void Add(int &x, int y) {
  if ((x += y) >= kMod) x -= kMod;
}
auto Sum(int x, int y) { return Add(x, y), x; }
auto Neg(int x) { return Sum(kMod, -x); }
auto Power(int a, int b, int p = kMod) {
  int r = 1;
  for (; b; b >>= 1, a = i64{a} * a % p) {
    if (b & 1) r = i64{r} * a % p;
  }
  return r;
}
auto Inv(int a, int p = kMod) { return Power(a, p - 2, p); }

int n, m, t;
std::array<std::string, kMaxN> g;

std::array<int, kMaxN> coef, poly;
std::array<std::array<int, kMaxN>, kMaxN> adj, mat;
auto Det() {
  int r = n & 1 ? 1 : Neg(1);
  for (int i = 0, j, inv; i < n; ++i) {
    for (j = i; j < n && !mat[j][i]; ++j);
    if (j == n) return 0;
    if (j - i) std::swap(mat[i], mat[j]), r = Neg(r);
    r = i64{r} * mat[i][i] % kMod, inv = Neg(Inv(mat[i][i]));
    for (int j = i + 1; j < n; ++j) {
      int rat = i64{mat[j][i]} * inv % kMod;
      for (int k = i; k < n; ++k) Add(mat[j][k], i64{mat[i][k]} * rat % kMod);
    }
  }
  return r;
}
void CharPoly() {
  for (int i = 0; i <= n; ++i) {
    mat = adj;
    for (int j = 0; j < n; ++j) Add(mat[j][j], Neg(i));
    int c = Det();
    for (int j = poly[0] = 1; j < n; ++j) poly[j] = 0;
    for (int j = 0; j <= n; ++j) {
      if (i == j) continue;
      c = i64{c} * Inv(i - j + kMod) % kMod;
      for (int k = n - 1; ~k; --k) {
        poly[k] = i64{poly[k]} * Neg(j) % kMod;
        if (k) Add(poly[k], poly[k - 1]);
      }
    }
    for (int j = 0; j < n; ++j) Add(coef[j], i64{c} * poly[j] % kMod);
  }
}

int ans;
std::array<int, kMaxN> f;
std::array<int, kMaxT> v;
std::array<std::array<int, kMaxN>, kMaxN> lit;

auto main() -> int {
  std::ios::sync_with_stdio(false);
  std::cin.tie(nullptr), std::cout.tie(nullptr);

  std::cin >> n >> m >> t;
  for (int i = 0; i < n; ++i) std::cin >> g[i];
  for (int i = 0; i < n; ++i) {
    int ideg = Inv(std::count(ALL(g[i]), '1'));
    for (int j = 0; j < n; ++j) {
      if (g[i][j] == '1') adj[i][j] = ideg;
    }
  }
  CharPoly();
  lit[0][n - 1] = 1;
  for (int i = 1; i < n; ++i) {
    for (int j = 0; j < n; ++j) {
      for (int k = 0; k < n; ++k) {
        Add(lit[i][j], i64{adj[j][k]} * lit[i - 1][k] % kMod);
      }
    }
  }
  for (int i = 0, t, p; i < m; ++i) std::cin >> t >> p, v[t] = p;
  for (int i = 1; i <= t; ++i) {
    __int128 s = 0;
    for (int j = 0; j < n; ++j) s += i64{f[j]} * coef[j];
    for (int j = 1; j < n; ++j) f[j - 1] = f[j];
    f[n - 1] = s % kMod;
    if (v[i]) {
      for (int j = 0; j < n; ++j) Add(f[j], lit[j][v[i] - 1]);
    }
    ans ^= f[0];
  }
  std::cout << ans << '\n';

  return 0;
}

这程序好像有点Bug,我给组数据试试?

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3640kb

input:

2 2 2
11
11
1 1
2 2

output:

500000005

result:

ok 1 number(s): "500000005"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3652kb

input:

3 1 6
110
011
101
1 1

output:

191901811

result:

ok 1 number(s): "191901811"

Test #3:

score: 0
Accepted
time: 19ms
memory: 3700kb

input:

70 1000 10000
1000000000000000000000000000000100000000100000000000000100000000000000
0110000000000001100000100000000000000001000000010000000000000000000000
0010000000000000000000000000000000000000000000000000000000000000000000
0001000000000000000000000000001000000000000000000000000000000000100000
00...

output:

1026871829

result:

ok 1 number(s): "1026871829"

Test #4:

score: 0
Accepted
time: 18ms
memory: 3704kb

input:

70 1000 10000
1000000000000000000000000000000000000000000000000000000001000001010000
0100000000000000000000000000000010000000000000000000000000000000000000
0010000000000000000000010100000001000001000000000000000010000000000000
0001000000000000000010000000000000010000000000000000000000000000000000
00...

output:

743579645

result:

ok 1 number(s): "743579645"

Test #5:

score: 0
Accepted
time: 18ms
memory: 3956kb

input:

70 1000 10000
1100000001000100000000000001110000000000000100000000000001000000000100
0110010000000100000000000100000000100000100000000000000000000000010001
0010000010000000000000000000000000001000000000000000000100010000000000
1001100010100000001000010000000000000001000000000000010000000000001000
00...

output:

362752022

result:

ok 1 number(s): "362752022"

Test #6:

score: 0
Accepted
time: 18ms
memory: 3928kb

input:

70 1000 10000
1010000100000010100001010000100000000010000110110000000000000000001000
0101000010000100001010101010010000000000000000000000001011011010000100
0010001010001100000010010001001001101100010110100010001000000010000000
0101000001100010101010101101000100000101110010000100100010100110000001
00...

output:

69495152

result:

ok 1 number(s): "69495152"

Test #7:

score: 0
Accepted
time: 18ms
memory: 3672kb

input:

70 1000 10000
1110001110101011001011011010000110000110001100010010110011111100001000
1101110110001010001111001101010100001001101010001100101111010011010001
1010011100110110110001001011100110101101111110001100101010100111101110
1001001001000111110100001000001011001000111101111101000001111111110111
00...

output:

976173806

result:

ok 1 number(s): "976173806"

Test #8:

score: 0
Accepted
time: 18ms
memory: 3664kb

input:

70 1000 10000
1111111111011111111100101011001011111101100111111111111111101011011111
1110111111100100101111111101111110111111100111110000101111101101101111
1111110111111110101000110011110111101111110111111111111111011110111011
1111011111001110111110101111111100011101111100110111011111111011001010
11...

output:

407126826

result:

ok 1 number(s): "407126826"

Test #9:

score: 0
Accepted
time: 14ms
memory: 3720kb

input:

70 1000 10000
1111110101111111110111111111111111111101111010110111111111111111011111
1111011111111111111111111011111111111111111111110111111111111111111111
1110110111101100111111011110111111111111101111111111111111111111111111
1111111111111111110111111111111110111111011011111111101111111010011111
01...

output:

95235184

result:

ok 1 number(s): "95235184"

Test #10:

score: 0
Accepted
time: 18ms
memory: 3660kb

input:

70 1000 10000
1111110111110111111111111111111111111111111111101111111111111111101111
1111111011111011111111111111111111111111111111111111111111111111111111
1111111111111111111011111111110111111111111011111111111111011111111111
1111110111111111111111111011101110101111111111111111101111101111111111
11...

output:

137040690

result:

ok 1 number(s): "137040690"

Test #11:

score: 0
Accepted
time: 14ms
memory: 3608kb

input:

70 1000 10000
1111111111111111111111111111111111111111111111111111111111111111111111
1111111101111011111101111111111011111111111111111111111110011111111111
1111111111111111101111111111111110111011111111011111111111111111111111
1111111111111111111111111111111111111111111111111111111111111111111111
11...

output:

918692147

result:

ok 1 number(s): "918692147"

Test #12:

score: 0
Accepted
time: 113ms
memory: 11432kb

input:

70 10000 2000000
1111111111111111111111111111111111111111111111111111111111111111111111
1111111111111111111111111111111111111111111111111111111111111111111111
1111111111111111111111111111111111111111111111111111111111111111111111
1111111111111111111111111111111111111111111111111111111111111111111111...

output:

154305482

result:

ok 1 number(s): "154305482"

Test #13:

score: 0
Accepted
time: 118ms
memory: 11376kb

input:

70 10000 2000000
1000010000000000000000000001000000000000000000000000000010000000000000
0100000000000000000000010000000001000010000000000000000000000000000000
0010000000000000000000100000000001001000000000000000000000000000010000
0001000000100000000000000000000000000000000000000000000100000000000000...

output:

601860703

result:

ok 1 number(s): "601860703"

Test #14:

score: 0
Accepted
time: 115ms
memory: 11424kb

input:

70 10000 2000000
1000000000000000010000000001000000000100000000000000001000000000000000
0110000001000000000000000010000000000000000001000001000000000000000000
0010000000110000010010001000000000000000000000101100000000000000000100
0001000000000000010000000000000000000101000100010000000000010010000000...

output:

632681263

result:

ok 1 number(s): "632681263"

Test #15:

score: 0
Accepted
time: 118ms
memory: 11712kb

input:

70 10000 2000000
1000100000100000000000000000000000000001000000011010110000000000100000
1100100010000000000000101000000000000000000000000001000000000000000000
0010000000000001000000000000000001000000000000010000000000000001000000
0001000000001000000000000010100100000000000000000001000100000000001000...

output:

50850594

result:

ok 1 number(s): "50850594"

Test #16:

score: 0
Accepted
time: 118ms
memory: 11424kb

input:

70 10000 2000000
1100000001001000001000100000010000100001000111000001110001100000000100
0110001100000011000001100000001100010100010100010000101100101110001100
0110000100110010001000100000010000010100010000000000000101000101000000
0101000100011010100000000010000010100000011100100000110101001010001100...

output:

117421938

result:

ok 1 number(s): "117421938"

Test #17:

score: 0
Accepted
time: 118ms
memory: 11652kb

input:

70 10000 2000000
1011001110101010010100110110100011001101010001100011111010101111100100
1111000000100001000100100111000011111011110111111000110100101010011010
0011110100101011000000010000100011110100011111001000100010110111110011
0001000111111000001100100110110010110000001010000101110110000000011011...

output:

671321149

result:

ok 1 number(s): "671321149"

Test #18:

score: 0
Accepted
time: 114ms
memory: 11716kb

input:

70 10000 2000000
1111111111101011101101111111011111100111111111001111011100111111110110
0111011001011100111100111111100101101111111101100111100011111111111101
1010111111111110111111111110110110111110111011100111000001111011110100
1111110100101010101111010111101111111111111111111111011101011111101111...

output:

714929330

result:

ok 1 number(s): "714929330"

Test #19:

score: 0
Accepted
time: 118ms
memory: 11416kb

input:

70 10000 2000000
1001111111111111111111111110111111011111111011011111111101111111111111
1110101111011110111111111111111111111111111111110111111111111111110110
1011010110101111111101111111111011111111111110111111100101111111100111
1111111110111111111111100111111100111111101111110101011101111110110111...

output:

706080518

result:

ok 1 number(s): "706080518"

Test #20:

score: 0
Accepted
time: 117ms
memory: 11432kb

input:

70 10000 2000000
1111111111111111111111111111111101111110111111111111111111111111111111
1111110111111111111111111111111111111111111111111111111111101111110111
1111111101111111111111111111111111111111111111111111101011111111111111
1111111111111111111111111111111111111111111111111111111111111111111111...

output:

456121666

result:

ok 1 number(s): "456121666"

Test #21:

score: 0
Accepted
time: 114ms
memory: 11404kb

input:

70 10000 2000000
1111110111111111111111111111111111111111111111111111111111111111111111
1101111111111111111101111111111111111111111110111111111111111110111111
1111111111111111111111111111111111111111111111011111111111111111111111
1111111111111111111111111111111111111111111111111111111110111011111011...

output:

964660092

result:

ok 1 number(s): "964660092"

Extra Test:

score: 0
Extra Test Passed