#include <bits/stdc++.h>
using namespace std;
#ifdef LOCAL
#include "debug.h"
#else
#define debug(...) 42
#endif
const int N = 3e3 + 5, MD = 1e9 + 7;
int add(int a, int b) {
if ((a += b) >= MD) {
a -= MD;
}
return a;
}
int fact[N * N], dp[N][N], C[N][N];
int main() {
ios::sync_with_stdio(false); cin.tie(nullptr);
int r, c, n; cin >> r >> c >> n;
fact[0] = 1;
for (int i = 1; i <= r * c; ++i) {
fact[i] = (long long) fact[i - 1] * i % MD;
}
for (int i = 0; i <= max(r, c); ++i) {
C[i][0] = C[i][i] = 1;
for (int j = 1; j < i; ++j) {
C[i][j] = add(C[i - 1][j], C[i - 1][j - 1]);
}
}
array<int, 2> mi{r, c}, ma{};
for (int _ = 0; _ < n; ++_) {
for (int i = 0; i < 2; ++i) {
int x; cin >> x;
mi[i] = min(mi[i], x);
ma[i] = max(ma[i], x);
}
}
int a = ma[0] - mi[0] + 1, b = ma[1] - mi[1] + 1;
dp[a][b] = fact[a * b - n];
for (int i = a; i <= r; ++i) {
for (int j = b; j <= c; ++j) {
dp[i][j] = add(dp[i][j], (long long) dp[i - 1][j] * fact[j] % MD);
dp[i][j] = add(dp[i][j], (long long) dp[i][j - 1] * fact[i] % MD);
}
}
auto res = (long long) dp[r][c] * C[r - a][mi[0] - 1] % MD * C[c - b][mi[1] - 1] % MD;
cout << res;
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
4444 KB |
Output is correct |
2 |
Correct |
0 ms |
4444 KB |
Output is correct |
3 |
Correct |
0 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
4560 KB |
Output is correct |
6 |
Correct |
1 ms |
4444 KB |
Output is correct |
7 |
Correct |
0 ms |
4564 KB |
Output is correct |
8 |
Correct |
0 ms |
4444 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
4444 KB |
Output is correct |
2 |
Correct |
0 ms |
4444 KB |
Output is correct |
3 |
Correct |
1 ms |
6492 KB |
Output is correct |
4 |
Correct |
1 ms |
6492 KB |
Output is correct |
5 |
Correct |
1 ms |
6492 KB |
Output is correct |
6 |
Correct |
1 ms |
6492 KB |
Output is correct |
7 |
Correct |
1 ms |
6492 KB |
Output is correct |
8 |
Correct |
1 ms |
6492 KB |
Output is correct |
9 |
Correct |
1 ms |
6492 KB |
Output is correct |
10 |
Correct |
1 ms |
6604 KB |
Output is correct |
11 |
Correct |
1 ms |
6492 KB |
Output is correct |
12 |
Correct |
1 ms |
6492 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
8540 KB |
Output is correct |
2 |
Correct |
2 ms |
8668 KB |
Output is correct |
3 |
Correct |
3 ms |
9404 KB |
Output is correct |
4 |
Correct |
12 ms |
24156 KB |
Output is correct |
5 |
Correct |
12 ms |
23900 KB |
Output is correct |
6 |
Correct |
17 ms |
24924 KB |
Output is correct |
7 |
Correct |
11 ms |
29276 KB |
Output is correct |
8 |
Correct |
21 ms |
43604 KB |
Output is correct |
9 |
Correct |
50 ms |
73716 KB |
Output is correct |
10 |
Correct |
98 ms |
99412 KB |
Output is correct |
11 |
Correct |
83 ms |
91740 KB |
Output is correct |
12 |
Correct |
46 ms |
70864 KB |
Output is correct |
13 |
Correct |
5 ms |
17500 KB |
Output is correct |
14 |
Correct |
47 ms |
73300 KB |
Output is correct |
15 |
Correct |
110 ms |
106728 KB |
Output is correct |
16 |
Correct |
87 ms |
83796 KB |
Output is correct |
17 |
Correct |
60 ms |
78604 KB |
Output is correct |
18 |
Correct |
109 ms |
105040 KB |
Output is correct |