#include <bits/stdc++.h>
#define FOR(i, a, b) for (int i = a; i<=b ; i++)
#define FORD(i, a, b) for (int i = a; i>=b; i--)
#define REP(i, a) for (int i = 0; i<a; i++)
#define N 3030
#define pp pair<int, int>
#define IO cin.tie(NULL);cout.tie(NULL);
#define bit(S, i) ((S >> i) & 1)
template<typename T> inline void read(T &x) {
char c;
bool neg = false;
while (!isdigit(c = getchar()) && c != '-');
x = 0;
if (c == '-') {
neg = true;
c = getchar();
}
do {
x = x * 10 + c - '0';
} while (isdigit(c = getchar()));
if (neg) x = -x;
}
template<typename T> inline void write(T x) {
if (x < 0) {
putchar('-');
write(-x);return;
}
if (x < 10) {
putchar(char(x + 48));
}
else {
write(x/10);
putchar(char(48 + x%10));
}
}
template<typename T> inline void writeln(T x) {
write(x);
putchar('\n');
}
using namespace std;
const long long MOD = 1e9 + 7;
int n, m, u, v, p, L, R, D, U;
bool fr[N][N];
long long gt[N * N], need, dp[N][N];
bool used[N][N];
long long cal(int x2, int y2) {
if (x2 == D - U + 1 && y2 == R - L + 1) return 1;
if (used[x2][y2]) return dp[x2][y2];
used[x2][y2] = true;
long long res = 0;
if (y2 > R - L + 1) res = (res + cal(x2, y2 - 1) * gt[x2] % MOD) % MOD;
if (x2 > D - U + 1) res = (res + cal(x2 - 1, y2) * gt[y2] % MOD) % MOD;
dp[x2][y2] = res;
return res;
}
long long f[N][N];
void init() {
FOR(i, 0, max(m, n)) f[0][i] = 1;
FOR(i, 1, max(m, n)) {
f[i][i] = 1;
FOR(j, i + 1, max(m, n)) f[i][j] = (f[i - 1][j - 1] + f[i][j - 1]) % MOD;
}
}
long long row[N], col[N];
int main() {
IO;
read(m);read(n);
L = 1e9, R = -1e9, U = 1e9, D = -1e9;
FOR(i, 1, m) FOR(j, 1, n) fr[i][j] = true;
read(p);
gt[0] = 1;
FOR(i, 1, m * n) gt[i] = gt[i - 1] * 1ll * i % MOD;
REP(i, p) {
read(u);read(v);
fr[u][v] = false;
L = min(L, v);
R = max(R, v);
U = min(U, u);
D = max(D, u);
}
need = gt[(D - U + 1) * (R - L + 1) - p];
need = cal(m, n) * need % MOD;
m = m - D + U;
n = n - R + L;
init();
FOR(i, 1, m) row[i] = f[i - 1][m - 1];
FOR(i, 1, n) col[i] = f[i - 1][n - 1];
long long res = row[U] * col[L] % MOD;
res = res * need % MOD;
writeln(res);
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
235172 KB |
Output is correct |
2 |
Correct |
0 ms |
235172 KB |
Output is correct |
3 |
Correct |
0 ms |
235172 KB |
Output is correct |
4 |
Correct |
0 ms |
235172 KB |
Output is correct |
5 |
Correct |
0 ms |
235172 KB |
Output is correct |
6 |
Correct |
0 ms |
235172 KB |
Output is correct |
7 |
Correct |
0 ms |
235172 KB |
Output is correct |
8 |
Correct |
0 ms |
235172 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
235172 KB |
Output is correct |
2 |
Correct |
0 ms |
235172 KB |
Output is correct |
3 |
Correct |
0 ms |
235172 KB |
Output is correct |
4 |
Correct |
0 ms |
235172 KB |
Output is correct |
5 |
Correct |
0 ms |
235172 KB |
Output is correct |
6 |
Correct |
0 ms |
235172 KB |
Output is correct |
7 |
Correct |
0 ms |
235172 KB |
Output is correct |
8 |
Correct |
0 ms |
235172 KB |
Output is correct |
9 |
Correct |
0 ms |
235172 KB |
Output is correct |
10 |
Correct |
0 ms |
235172 KB |
Output is correct |
11 |
Correct |
0 ms |
235172 KB |
Output is correct |
12 |
Correct |
0 ms |
235172 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
235172 KB |
Output is correct |
2 |
Correct |
3 ms |
235172 KB |
Output is correct |
3 |
Correct |
0 ms |
235172 KB |
Output is correct |
4 |
Correct |
33 ms |
235172 KB |
Output is correct |
5 |
Correct |
33 ms |
235172 KB |
Output is correct |
6 |
Correct |
33 ms |
235172 KB |
Output is correct |
7 |
Correct |
26 ms |
235172 KB |
Output is correct |
8 |
Correct |
63 ms |
235172 KB |
Output is correct |
9 |
Correct |
69 ms |
235172 KB |
Output is correct |
10 |
Correct |
423 ms |
235304 KB |
Output is correct |
11 |
Correct |
259 ms |
235252 KB |
Output is correct |
12 |
Correct |
69 ms |
235172 KB |
Output is correct |
13 |
Correct |
9 ms |
235172 KB |
Output is correct |
14 |
Correct |
56 ms |
235172 KB |
Output is correct |
15 |
Correct |
446 ms |
235300 KB |
Output is correct |
16 |
Correct |
363 ms |
235272 KB |
Output is correct |
17 |
Correct |
66 ms |
235172 KB |
Output is correct |
18 |
Correct |
426 ms |
235300 KB |
Output is correct |