#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int R = 3007;
const int MOD = 1e9 + 7;
int r, c, n, dp[R][R], fact[R * R], nCk[R][R];
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
fact[0] = 1;
for(int i = 1; i < R * R; i++)
fact[i] = (ll) fact[i - 1] * i % MOD;
for(int i = 0; i < R; i++){
nCk[i][0] = 1;
for(int j = 1; j <= i; j++)
nCk[i][j] = (nCk[i - 1][j] + nCk[i - 1][j - 1]) % MOD;
}
cin >> r >> c >> n;
int minX = R, maxX = 0, minY = R, maxY = 0;
for(int i = 1; i <= n; i++){
int x, y;
cin >> x >> y;
minX = min(minX, x);
maxX = max(maxX, x);
minY = min(minY, y);
maxY = max(maxY, y);
}
int r0 = maxX - minX + 1;
int c0 = maxY - minY + 1;
dp[r0][c0] = fact[r0 * c0 - n];
for(int i = 1; i <= r; i++)
for(int j = 1; j <= c; j++){
if (i < r)
dp[i + 1][j] = (dp[i + 1][j] + (ll) dp[i][j] * fact[j]) % MOD;
if (j < c)
dp[i][j + 1] = (dp[i][j + 1] + (ll) dp[i][j] * fact[i]) % MOD;
}
cout << (ll) dp[r][c] * nCk[r - r0][minX - 1] % MOD * nCk[c - c0][minY - 1] % MOD;
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
93 ms |
63468 KB |
Output is correct |
2 |
Correct |
91 ms |
63468 KB |
Output is correct |
3 |
Correct |
92 ms |
63468 KB |
Output is correct |
4 |
Correct |
91 ms |
63596 KB |
Output is correct |
5 |
Correct |
92 ms |
63468 KB |
Output is correct |
6 |
Correct |
90 ms |
63468 KB |
Output is correct |
7 |
Correct |
91 ms |
63468 KB |
Output is correct |
8 |
Correct |
91 ms |
63468 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
91 ms |
63468 KB |
Output is correct |
2 |
Correct |
92 ms |
63468 KB |
Output is correct |
3 |
Correct |
95 ms |
63468 KB |
Output is correct |
4 |
Correct |
92 ms |
63468 KB |
Output is correct |
5 |
Correct |
91 ms |
63468 KB |
Output is correct |
6 |
Correct |
92 ms |
63596 KB |
Output is correct |
7 |
Correct |
103 ms |
63596 KB |
Output is correct |
8 |
Correct |
92 ms |
63604 KB |
Output is correct |
9 |
Correct |
95 ms |
63724 KB |
Output is correct |
10 |
Correct |
91 ms |
63468 KB |
Output is correct |
11 |
Correct |
92 ms |
63596 KB |
Output is correct |
12 |
Correct |
90 ms |
63468 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
94 ms |
64492 KB |
Output is correct |
2 |
Correct |
94 ms |
64856 KB |
Output is correct |
3 |
Correct |
98 ms |
65004 KB |
Output is correct |
4 |
Correct |
103 ms |
69996 KB |
Output is correct |
5 |
Correct |
104 ms |
69868 KB |
Output is correct |
6 |
Correct |
121 ms |
72172 KB |
Output is correct |
7 |
Correct |
116 ms |
75116 KB |
Output is correct |
8 |
Correct |
145 ms |
87020 KB |
Output is correct |
9 |
Correct |
213 ms |
99356 KB |
Output is correct |
10 |
Correct |
186 ms |
96620 KB |
Output is correct |
11 |
Correct |
184 ms |
93164 KB |
Output is correct |
12 |
Correct |
205 ms |
99436 KB |
Output is correct |
13 |
Correct |
104 ms |
69228 KB |
Output is correct |
14 |
Correct |
214 ms |
98796 KB |
Output is correct |
15 |
Correct |
216 ms |
99692 KB |
Output is correct |
16 |
Correct |
165 ms |
89068 KB |
Output is correct |
17 |
Correct |
212 ms |
99180 KB |
Output is correct |
18 |
Correct |
217 ms |
99820 KB |
Output is correct |