#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 3333
#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;
int q, n, m, a[N][N];
const long long MOD = 1e9 + 7;
long long gt[N * N], dp[N][N], c[N][N];
bool used[N][N];
long long cal(int r, int c) {
if (r == m && c == n) return 1;
if (used[r][c]) return dp[r][c];
used[r][c] = true;
dp[r][c] = 0;
if (r != m) {
dp[r][c] = (dp[r][c] + cal(r + 1, c) * gt[c] % MOD) % MOD;
}
if (c != n) {
dp[r][c] = (dp[r][c] + cal(r, c + 1) * gt[r] % MOD) % MOD;
}
return dp[r][c];
}
void init() {
FOR(i, 0, max(m, n)) c[0][i] = 1;
FOR(i, 1, max(m, n)) {
c[i][i] = 1;
FOR(j, i + 1, max(m, n)) {
c[i][j] = (c[i][j - 1] + c[i - 1][j - 1]) % MOD;
}
}
}
int main() {
IO;
//freopen("LANDS.inp","r",stdin);
//freopen("LANDS.out","w",stdout);
read(m);read(n);
gt[0] = 1;
FOR(i, 1, m * n) gt[i] = gt[i - 1] * i % MOD;
read(q);
int mnx = 1e9, mny = 1e9, mxx = -1e9, mxy = -1e9;
int u, v;
while (q--) {
read(u);read(v);
a[u][v] = 1;
mnx = min(u, mnx);
mxx = max(u, mxx);
mny = min(v, mny);
mxy = max(v, mxy);
}
if (n == 0) {
writeln(gt[n * m]);
return 0;
}
init();
long long total = cal(mxx - mnx + 1, mxy - mny + 1);
FOR(i, 1, m) FOR(j, 1, n) a[i][j] += a[i - 1][j] + a[i][j - 1] - a[i - 1][j - 1];
int cnt = a[mxx][mxy] - a[mxx][mny - 1] - a[mnx - 1][mxy] + a[mnx - 1][mny - 1];
total = total * gt[(mxx - mnx + 1) * (mxy - mny + 1) - cnt] % MOD;
total = (total * c[mnx - 1][m - (mxx - mnx + 1)]) % MOD;
total = (total * c[mny - 1][n - (mxy - mny + 1)]) % MOD;
writeln(total);
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Runtime error |
0 ms |
1840 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Runtime error |
0 ms |
1840 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Runtime error |
0 ms |
1840 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
2 |
Halted |
0 ms |
0 KB |
- |