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Cod sursa(job #43064)
#include <stdio.h>
#define KMAX 32
#define NMAX 22
#define SMAX 10100
#define MAX(a,b) ((a)>(b)?(a):(b))
#define MIN(a,b) ((a)<(b)?(a):(b))
#define MOD 3210121
#define mod(a) (((a) >= MOD) ? ((a)-MOD):(a))
int A[SMAX][NMAX], S, N, K, Sol, IT;
int E[NMAX][KMAX], v[NMAX][KMAX];
void solve(int nv, int sgn, int num)
{
int i, j, sum;
for (i = nv; i <= N; i++)
{
sum = 0;
for (j = 1; j <= K; j++)
v[num+1][j] = MAX(v[num][j], E[i][j]), sum += v[num+1][j];
if (S-sum >= 0)
Sol = mod(Sol+MOD+A[S-sum][K]*sgn);
IT++;
solve(i+1, -1*sgn, num+1);
}
}
int main()
{
int i, j;
freopen("cowfood.in", "r", stdin);
scanf("%d %d %d", &K, &S, &N);
A[0][0] = 1;
for (i = 0; i <= K; i++) A[0][i] = 1;
for (i = 1; i <= S; i++)
{
A[i][0] += A[i-1][0];
for (j = 1; j <= K; j++)
A[i][j] = mod(A[i-1][j]+A[i][j-1]);
}
for (i = 1; i <= N; i++)
for (j = 1; j <= K; j++) scanf("%d", E[i]+j);
for (i = 1; i <= S; i++)
for (j = 1; j <= K; j++)
if (A[i][j] >= (j*(j+1)/2)) A[i][j] -= (j*(j+1)/2);
else A[i][j] = 0;
Sol = A[S][K];
solve(1,-1,0);
freopen("cowfood.out", "w", stdout);
printf("%d\n", Sol);
return 0;
}