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Cod sursa(job #40005)
#include <cstdio>
#include <memory>
using namespace std;
const char iname[] = "cowfood.in";
const char oname[] = "cowfood.out";
#define MAX_N 20
#define MAX_K 30
#define MAX_S 10000
#define modulo 3210121
int K, S, N;
int A[MAX_N][MAX_K];
int num[MAX_K + 1][MAX_S + 1];
void read_in(int A[][MAX_K], int *K, int *S, int *N)
{
scanf("%d %d", K, S);
int i;
int j;
for (scanf("%d", N), i = 0; i < *N; ++ i)
for (j = 0; j < *K; ++ j)
scanf("%d", A[i] + j);
}
void count(int num[][MAX_S + 1], int K, int S)
{
for (int j = 0; j <= S; ++ j)
num[1][j] = 1;
for (int i = 2; i <= K; ++ i) {
num[i][0] = 1;
for (int j = 1; j <= S; ++ j)
num[i][j] = (num[i][j - 1] + num[i - 1][j]) % modulo;
}
for (int i = 1; i <= K; ++ i)
for (int j = 1; j <= S; ++ j)
num[i][j] = (num[i][j] + num[i][j - 1]) % modulo;
}
int X[MAX_K], Res = 0;
void f(int i, int sgn)
{
if (i < N) {
f(i + 1, sgn);
int T[MAX_K];
memcpy(T, X, sizeof(T));
for (int j = 0; j < K; ++ j)
if (X[j] < A[i][j]) X[j] = A[i][j];
f(i + 1, sgn == +1 ? -1 : +1);
memcpy(X, T, sizeof(T));
} else if (i == N) {
int sum = 0;
int cnt = 0;
for (int j = 0; j < K; ++ j) {
if (X[j] > 0)
cnt ++, sum = sum + X[j];
}
if (S < sum) return ;
if (cnt == 0)
Res = Res + sgn * (num[K][S] - 1 - K * S);
else if (cnt == 1)
Res = Res + sgn * (num[K][S - sum] - (S - sum + 1));
else if (cnt > 1)
Res = Res + sgn * num[K][S - sum];
Res = Res % modulo;
}
}
int main(void)
{
freopen(iname, "r", stdin);
read_in(A, &K, &S, &N);
count(num, K, S);
f(0, 1);
if (Res < 0)
Res += modulo;
freopen(oname, "w", stdout);
printf("%d\n", Res);
return 0;
}