#include <bits/stdc++.h>
#define ll long long
#define pb push_back
#define task "conststrfd"
#define pll pair<ll, ll>
#define pii pair<ll, pll>
#define fi first
#define se second
#define ull unsigned long long
using namespace std;
const ll mod = 1e9+7;
const ll N = 3005;
vector<ll> kq;
vector<pll> pre;
string s;
ll n, m, t, k, b[N*N], p, a[N*N], ans, tong, c, r, cnt;
ll dp[N][N];
ll pw(ll k, ll n)
{
ll total = 1;
for(; n; n >>= 1)
{
if(n & 1)total = total * k % mod;
k = k * k % mod;
}
return total;
}
ll C(ll u, ll v)
{
if(u > v)return 0;
return a[v] * b[u] % mod * b[v-u]% mod;
}
void sol()
{
cin >> r >> c >> n;
a[0] = b[0] = 1;
for(int i = 1; i <= r*c; i ++)
{
a[i] = a[i-1] * i % mod;
b[i] = b[i-1] * pw(i, mod-2) % mod;
}
ll posl = r, posr = c, posu = 1, posv = 1;
for(int i = 1; i <= n;i ++)
{
ll u, v;
cin >> u >> v;
posl = min(posl, u);
posu = max(posu, u);
posr = min(posr, v);
posv = max(posv, v);
}
ll u = posu-posl+1, v = posv-posr+1;
dp[u][v] = a[u*v-n];
for(int i = u; i <= r; i ++)
{
for(int j = v; j <= c; j ++)
{
if(i == u && j == v)continue;
dp[i][j] = (dp[i-1][j] * a[j] + dp[i][j-1] * a[i]) % mod;
}
}
//cout << dp[r][c] << '\n';
cout << dp[r][c] * C(posl-1, r-u) % mod * C(posr-1, c-v) % mod;
}
int main()
{
if(fopen(task".inp", "r")){
freopen(task".inp", "r", stdin);
freopen(task".out", "w", stdout);
}
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int ntest = 1;
//cin >> ntest;
for(int i = 1; i <= ntest; i ++)
sol();
}
/*
5
5 4
1 2
1 3
4 1
5 1
7 0
8 8
1 2
2 3
3 4
4 1
1 6
6 7
7 8
8 6
4 4
1 2
2 3
1 4
4 3
4 4
1 2
2 3
1 3
3 4
*/
Compilation message
mascots.cpp: In function 'int main()':
mascots.cpp:71:15: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
71 | freopen(task".inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
mascots.cpp:72:15: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
72 | freopen(task".out", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
492 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
620 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
1 ms |
492 KB |
Output is correct |
12 |
Correct |
1 ms |
364 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
7 ms |
1004 KB |
Output is correct |
2 |
Correct |
14 ms |
2156 KB |
Output is correct |
3 |
Correct |
16 ms |
3180 KB |
Output is correct |
4 |
Correct |
141 ms |
21868 KB |
Output is correct |
5 |
Correct |
139 ms |
20972 KB |
Output is correct |
6 |
Correct |
178 ms |
21220 KB |
Output is correct |
7 |
Correct |
289 ms |
28908 KB |
Output is correct |
8 |
Correct |
632 ms |
63084 KB |
Output is correct |
9 |
Correct |
1420 ms |
141420 KB |
Output is correct |
10 |
Correct |
1274 ms |
184684 KB |
Output is correct |
11 |
Correct |
1235 ms |
162412 KB |
Output is correct |
12 |
Correct |
1264 ms |
125164 KB |
Output is correct |
13 |
Correct |
107 ms |
12524 KB |
Output is correct |
14 |
Correct |
1433 ms |
141316 KB |
Output is correct |
15 |
Correct |
1530 ms |
207244 KB |
Output is correct |
16 |
Correct |
1020 ms |
144688 KB |
Output is correct |
17 |
Correct |
1424 ms |
145728 KB |
Output is correct |
18 |
Correct |
1518 ms |
204212 KB |
Output is correct |