#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
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
1564 KB |
Output is correct |
2 |
Correct |
0 ms |
1564 KB |
Output is correct |
3 |
Correct |
0 ms |
1564 KB |
Output is correct |
4 |
Correct |
0 ms |
1564 KB |
Output is correct |
5 |
Correct |
0 ms |
1564 KB |
Output is correct |
6 |
Correct |
0 ms |
1564 KB |
Output is correct |
7 |
Correct |
0 ms |
1564 KB |
Output is correct |
8 |
Correct |
0 ms |
1564 KB |
Output is correct |
9 |
Correct |
0 ms |
1564 KB |
Output is correct |
10 |
Correct |
0 ms |
1564 KB |
Output is correct |
11 |
Correct |
0 ms |
1564 KB |
Output is correct |
12 |
Correct |
0 ms |
1564 KB |
Output is correct |
13 |
Correct |
0 ms |
1564 KB |
Output is correct |
14 |
Correct |
0 ms |
1564 KB |
Output is correct |
15 |
Correct |
0 ms |
1564 KB |
Output is correct |
16 |
Correct |
0 ms |
1564 KB |
Output is correct |
17 |
Correct |
0 ms |
1564 KB |
Output is correct |
18 |
Correct |
0 ms |
1564 KB |
Output is correct |
19 |
Correct |
0 ms |
1564 KB |
Output is correct |
20 |
Correct |
0 ms |
1564 KB |
Output is correct |
21 |
Correct |
0 ms |
1564 KB |
Output is correct |
22 |
Correct |
0 ms |
1564 KB |
Output is correct |
23 |
Correct |
0 ms |
1564 KB |
Output is correct |
24 |
Correct |
0 ms |
1564 KB |
Output is correct |
25 |
Correct |
0 ms |
1564 KB |
Output is correct |
26 |
Correct |
0 ms |
1564 KB |
Output is correct |
27 |
Correct |
0 ms |
1564 KB |
Output is correct |
28 |
Correct |
0 ms |
1564 KB |
Output is correct |
29 |
Correct |
0 ms |
1564 KB |
Output is correct |
30 |
Correct |
0 ms |
1564 KB |
Output is correct |
31 |
Correct |
0 ms |
1564 KB |
Output is correct |
32 |
Correct |
0 ms |
1564 KB |
Output is correct |
33 |
Correct |
0 ms |
1564 KB |
Output is correct |
34 |
Correct |
0 ms |
1564 KB |
Output is correct |
35 |
Correct |
0 ms |
1564 KB |
Output is correct |
36 |
Correct |
0 ms |
1564 KB |
Output is correct |
37 |
Correct |
0 ms |
1564 KB |
Output is correct |
38 |
Correct |
0 ms |
1564 KB |
Output is correct |
39 |
Correct |
0 ms |
1564 KB |
Output is correct |
40 |
Correct |
0 ms |
1564 KB |
Output is correct |
41 |
Correct |
0 ms |
1564 KB |
Output is correct |
42 |
Correct |
0 ms |
1564 KB |
Output is correct |
43 |
Correct |
0 ms |
1564 KB |
Output is correct |
44 |
Correct |
0 ms |
1564 KB |
Output is correct |
45 |
Correct |
0 ms |
1564 KB |
Output is correct |
46 |
Correct |
0 ms |
1564 KB |
Output is correct |
47 |
Correct |
0 ms |
1564 KB |
Output is correct |
48 |
Correct |
0 ms |
1564 KB |
Output is correct |
49 |
Correct |
0 ms |
1564 KB |
Output is correct |
50 |
Correct |
0 ms |
1564 KB |
Output is correct |
51 |
Correct |
0 ms |
1564 KB |
Output is correct |
52 |
Correct |
0 ms |
1564 KB |
Output is correct |
53 |
Correct |
0 ms |
1564 KB |
Output is correct |
54 |
Correct |
0 ms |
1564 KB |
Output is correct |
55 |
Correct |
0 ms |
1564 KB |
Output is correct |
56 |
Correct |
0 ms |
1564 KB |
Output is correct |
57 |
Correct |
0 ms |
1564 KB |
Output is correct |
58 |
Correct |
0 ms |
1564 KB |
Output is correct |
59 |
Correct |
0 ms |
1564 KB |
Output is correct |
60 |
Correct |
0 ms |
1564 KB |
Output is correct |
61 |
Correct |
0 ms |
1564 KB |
Output is correct |
62 |
Correct |
0 ms |
1564 KB |
Output is correct |
63 |
Correct |
0 ms |
1564 KB |
Output is correct |
64 |
Correct |
0 ms |
1564 KB |
Output is correct |
65 |
Correct |
0 ms |
1564 KB |
Output is correct |
66 |
Correct |
0 ms |
1564 KB |
Output is correct |
67 |
Correct |
0 ms |
1564 KB |
Output is correct |
68 |
Correct |
0 ms |
1564 KB |
Output is correct |
69 |
Correct |
0 ms |
1564 KB |
Output is correct |
70 |
Correct |
0 ms |
1564 KB |
Output is correct |
71 |
Correct |
0 ms |
1564 KB |
Output is correct |
72 |
Correct |
0 ms |
1564 KB |
Output is correct |
73 |
Correct |
0 ms |
1564 KB |
Output is correct |
74 |
Correct |
0 ms |
1564 KB |
Output is correct |
75 |
Correct |
0 ms |
1564 KB |
Output is correct |
76 |
Correct |
0 ms |
1564 KB |
Output is correct |
77 |
Correct |
0 ms |
1564 KB |
Output is correct |
78 |
Correct |
0 ms |
1564 KB |
Output is correct |
79 |
Correct |
0 ms |
1564 KB |
Output is correct |
80 |
Correct |
0 ms |
1564 KB |
Output is correct |
81 |
Correct |
0 ms |
1564 KB |
Output is correct |
82 |
Correct |
0 ms |
1564 KB |
Output is correct |
83 |
Correct |
0 ms |
1564 KB |
Output is correct |
84 |
Correct |
0 ms |
1564 KB |
Output is correct |
85 |
Correct |
0 ms |
1564 KB |
Output is correct |
86 |
Correct |
0 ms |
1564 KB |
Output is correct |
87 |
Correct |
0 ms |
1564 KB |
Output is correct |
88 |
Correct |
0 ms |
1564 KB |
Output is correct |
89 |
Correct |
0 ms |
1564 KB |
Output is correct |
90 |
Correct |
0 ms |
1564 KB |
Output is correct |
91 |
Correct |
0 ms |
1564 KB |
Output is correct |
92 |
Correct |
0 ms |
1564 KB |
Output is correct |
93 |
Correct |
0 ms |
1564 KB |
Output is correct |
94 |
Correct |
0 ms |
1564 KB |
Output is correct |
95 |
Correct |
4 ms |
1564 KB |
Output is correct |
96 |
Correct |
0 ms |
1564 KB |
Output is correct |
97 |
Correct |
0 ms |
1564 KB |
Output is correct |
98 |
Correct |
0 ms |
1564 KB |
Output is correct |
99 |
Correct |
0 ms |
1564 KB |
Output is correct |
100 |
Correct |
8 ms |
1564 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Runtime error |
12 ms |
1560 KB |
SIGSEGV Segmentation fault |
2 |
Halted |
0 ms |
0 KB |
- |