#include <bits/stdc++.h>
#define fi first
#define se second
#define all(v) (v).begin(), (v).end()
#define eb emplace_back
#define fastio ios::sync_with_stdio(false); cin.tie(NULL)
#define INF 2000000000;
#define LINF 1000000000000000000LL
#define mod 1000000007
using namespace std;
typedef long long ll;
typedef pair <int, int> pii;
typedef pair <ll, ll> pll;
int r, c;
ll dp[3030][3030], fact[9090909], C[3030][3030];
ll f(int x, int y) {
if(x > r || y > c) return 0;
if(x == r && y == c) return 1;
if(dp[x][y] != 0) return dp[x][y];
dp[x][y] += (fact[x] * f(x, y+1)) % mod;
dp[x][y] += (fact[y] * f(x+1, y)) % mod;
dp[x][y] %= mod;
return dp[x][y];
}
int main() {
fastio;
int n, mx = 0, my = 0, mix = 3030, miy = 3030;
C[0][0] = 1;
for(int i = 1; i <= 3000; i++) {
C[i][0] = 1;
for(int j = 1; j <= i; j++) {
C[i][j] = (C[i-1][j-1] + C[i-1][j]) % mod;
}
}
cin >> r >> c >> n;
fact[0] = 1;
for(int i = 1; i <= r * c; i++) {
fact[i] = (fact[i-1] * i) % mod;
}
for(int i = 1, x, y; i <= n; i++) {
cin >> x >> y;
mix = min(mix, x);
mx = max(mx, x);
miy = min(miy, y);
my = max(my, y);
}
ll ans = (f(mx-mix+1, my-miy+1) * fact[(mx-mix+1)*(my-miy+1)-n]) % mod;
ans = (ans * C[r-(mx-mix+1)][mix-1]) % mod;
ans = (ans * C[c-(my-miy+1)][miy-1]) % mod;
cout << ans;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
45 ms |
46712 KB |
Output is correct |
2 |
Correct |
48 ms |
46744 KB |
Output is correct |
3 |
Correct |
46 ms |
46684 KB |
Output is correct |
4 |
Correct |
45 ms |
46840 KB |
Output is correct |
5 |
Correct |
45 ms |
46840 KB |
Output is correct |
6 |
Correct |
45 ms |
46712 KB |
Output is correct |
7 |
Correct |
45 ms |
46712 KB |
Output is correct |
8 |
Correct |
51 ms |
46900 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
45 ms |
46840 KB |
Output is correct |
2 |
Correct |
48 ms |
46816 KB |
Output is correct |
3 |
Correct |
48 ms |
46840 KB |
Output is correct |
4 |
Correct |
46 ms |
46840 KB |
Output is correct |
5 |
Correct |
53 ms |
46816 KB |
Output is correct |
6 |
Correct |
45 ms |
46688 KB |
Output is correct |
7 |
Correct |
46 ms |
46712 KB |
Output is correct |
8 |
Correct |
45 ms |
46712 KB |
Output is correct |
9 |
Correct |
46 ms |
47116 KB |
Output is correct |
10 |
Correct |
46 ms |
46840 KB |
Output is correct |
11 |
Correct |
45 ms |
46740 KB |
Output is correct |
12 |
Correct |
45 ms |
46712 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
47 ms |
47128 KB |
Output is correct |
2 |
Correct |
48 ms |
47992 KB |
Output is correct |
3 |
Correct |
51 ms |
48944 KB |
Output is correct |
4 |
Correct |
103 ms |
62072 KB |
Output is correct |
5 |
Correct |
92 ms |
61044 KB |
Output is correct |
6 |
Correct |
96 ms |
60572 KB |
Output is correct |
7 |
Correct |
71 ms |
61816 KB |
Output is correct |
8 |
Correct |
95 ms |
78084 KB |
Output is correct |
9 |
Correct |
165 ms |
118008 KB |
Output is correct |
10 |
Correct |
589 ms |
173020 KB |
Output is correct |
11 |
Correct |
373 ms |
150068 KB |
Output is correct |
12 |
Correct |
155 ms |
109676 KB |
Output is correct |
13 |
Correct |
58 ms |
53840 KB |
Output is correct |
14 |
Correct |
154 ms |
117220 KB |
Output is correct |
15 |
Correct |
572 ms |
184468 KB |
Output is correct |
16 |
Correct |
490 ms |
144300 KB |
Output is correct |
17 |
Correct |
199 ms |
122204 KB |
Output is correct |
18 |
Correct |
591 ms |
181852 KB |
Output is correct |