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【題解】JSOI2011分特產

沒sa可suo的,sui題一道……

#include <bits/stdc++.h>
using namespace std;
#define maxn 3000
#define mod 1000000007
#define int long long
int n, m, ans, a[maxn], C[maxn][maxn];

int read()
{
    int x = 0, k = 1;
    char c; c = getchar();
    while(c < '0' || c > '9') { if(c == '-') k = -1; c = getchar(); }
    
while(c >= '0' && c <= '9') x = x * 10 + c - '0', c = getchar(); return x * k; } void Pre() { for(int i = 0; i < maxn; i ++) C[i][0] = 1; for(int i = 1; i < maxn; i ++) for(int j = 1; j < maxn; j ++) C[i][j] = (C[i - 1][j - 1] + C[i - 1][j]) % mod; }
int Up(int &x, int y) { x = (x + y) % mod; } int Get(int x) { int ret = 1; for(int i = 1; i <= m; i ++) ret = ret * C[n - x + a[i] - 1][n - x - 1] % mod; return ret; } signed main() { n = read(), m = read(); Pre(); for(int i = 1; i <= m; i ++) a[i] = read();
for(int i = 0; i <= n; i ++) { int t = C[n][i] * Get(i) % mod; Up(ans, (i & 1) ? -t : t); } printf("%lld\n", (ans + mod) % mod); return 0; }