This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <stdio.h>
long long t;
int n, m=10, a;
int p[10000];
int v[10000][10];
int l[10000];
const int MOD = 1000000007;
long long comb[30][30];
long long solve (int x, long long r)
{
long long res = 0;
if (x==n) {
res = 1;
for (int i=0; i<n; i++) for (int j=0; j<l[i]; j++)
res = (res * p[i]) % MOD;
for (int i=0; i<r; i++)
res = (res * a) % MOD;
for (int i=0; i<m; i++) {
long long s=1;
for (int j=0; j<n; j++) s = (s + v[j][i] * l[j]) % MOD;
res = (res * s) % MOD;
}
return res;
}
for (int i=0; i<=r; i++) {
l[x] = i;
res = (res + solve (x+1, r-i) * comb[r][i]) % MOD;
}
return res;
}
int main ()
{
scanf ("%lld%d%d", &t, &n, &a);
for (int i=0; i<n; i++) {
scanf ("%d", &p[i]);
a -= p[i];
for (int j=0; j<10; j++) scanf ("%d", &v[i][j]);
}
comb[0][0] = 1;
for (int i=1; i<=t; i++) {
comb[i][0] = 1;
for (int j=1; j<=i; j++)
comb[i][j] = comb[i-1][j-1] + comb[i-1][j];
}
printf ("%lld\n", solve (0, t));
return 0;
}
/*
1 2 3
1 1 1 1 1 0 0 0 0 0 0
1 0 0 0 0 1 0 0 0 0 0
10 3 22
4 1 4 2 5 0 0 0 1 0 1
7 2 0 3 2 0 7 1 0 2 0
9 0 1 0 0 1 0 1 1 7 0
*/
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