#include <bits/stdc++.h>
#define fi first
#define se second
#define mp make_pair
#define ss(x) (int) x.size()
#define pb push_back
#define LL long long
#define ld long double
#define cat(x) cerr << #x << " = " << x << endl
#define FOR(i, j, n) for(int i = j; i <= n; ++i)
#define boost cin.tie(0), ios_base::sync_with_stdio(0);
using namespace std;
const int nax = 310;
const int MOD = 1e9 + 7;
LL pt(LL a, LL b) {
if (b == 0) return 1;
if (b & 1) return a * pt(a, b - 1) % MOD;
return pt(a * a % MOD, b / 2);
}
void add(int &a, int b) {
a += b;
if (a >= MOD) a -= MOD;
}
int n, m, s;
int a[nax][nax];
int dp[2][nax][1010][2];
int main() {
scanf ("%d%d%d", &n, &m, &s);
s--;
int p = sqrt(s);
while (1000 < p) p--;
for (int i = 1; i <= n; ++i)
for (int j = 1; j <= m; ++j)
scanf ("%d", &a[i][j]);
LL ans = 1;
for (int i = n; i <= n + m - 2; ++i) ans = ans * i % MOD;
for (int i = 1; i <= m - 1; ++i) ans = ans * pt(i, MOD - 2) % MOD;
if (s == 0) {
printf ("%lld", ans);
exit(0);
}
if (1 < p)
dp[0][1][1][0] = 1;
else
dp[0][1][s][1] = 1;
for (int row = 1; row <= n; ++row) {
int ja = row & 1;
int on = !ja;
for (int col = 1; col <= m; ++col) {
for (int v = 1; v <= max(p, s / p); ++v)
for (int k = 0; k < 2; ++k)
dp[ja][col][v][k] = 0;
for (int v = 1; v <= max(p, s / p); ++v) {
int vv = v * a[row][col];
if (vv < p) {
add(dp[ja][col][vv][0], dp[ja][col - 1][v][0]);
add(dp[ja][col][vv][0], dp[on][col][v][0]);
}
else {
add(dp[ja][col][s / vv][1], dp[ja][col - 1][v][0]);
add(dp[ja][col][s / vv][1], dp[on][col][v][0]);
}
vv = v / a[row][col];
add(dp[ja][col][vv][1], dp[ja][col - 1][v][1]);
add(dp[ja][col][vv][1], dp[on][col][v][1]);
}
}
}
for (int i = 1; i <= max(p, s / p); ++i) {
ans = (ans - dp[n & 1][m][i][0] + MOD) % MOD;
ans = (ans - dp[n & 1][m][i][1] + MOD) % MOD;
}
printf ("%lld", ans);
return 0;
}
Compilation message
mobitel.cpp: In function 'int main()':
mobitel.cpp:35:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf ("%d%d%d", &n, &m, &s);
~~~~~~^~~~~~~~~~~~~~~~~~~~~~
mobitel.cpp:41:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf ("%d", &a[i][j]);
~~~~~~^~~~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
39 ms |
3320 KB |
Output is correct |
2 |
Correct |
41 ms |
3320 KB |
Output is correct |
3 |
Correct |
105 ms |
2168 KB |
Output is correct |
4 |
Correct |
115 ms |
2168 KB |
Output is correct |
5 |
Correct |
138 ms |
2112 KB |
Output is correct |
6 |
Correct |
135 ms |
2044 KB |
Output is correct |
7 |
Correct |
63 ms |
1528 KB |
Output is correct |
8 |
Correct |
750 ms |
4216 KB |
Output is correct |
9 |
Correct |
1429 ms |
5752 KB |
Output is correct |
10 |
Correct |
1453 ms |
5752 KB |
Output is correct |