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Cod sursa(job #833787)
#include <cstdio>
#include <cstring>
#include <algorithm>
using namespace std;
const int MAXN = 44100;
const int MOD = 10000;
int dp[2][2 * MAXN];
int main()
{
freopen("diamant.in", "r", stdin);
freopen("diamant.out", "w", stdout);
int n, m, x;
scanf("%d %d %d", &n, &m, &x);
int sum = ((n * (n + 1)) / 2) * ((m * (m + 1)) / 2);
if (x > sum || x < -sum) {
printf("0\n");
return 0;
}
int i, j, k, s, ssum;
int l = 0;
dp[0][sum] = 1;
for (i = 1; i <= n; ++i)
for (j = 1; j <= m; ++j, l = 1 ^ l) {
k = 1 ^ l;
for (int s = -sum; s <= sum; ++s) {
ssum = s + sum;
dp[k][ssum] = dp[l][ssum];
if (s + i * j <= sum) {
dp[k][ssum] += dp[l][ssum + i * j];
if (dp[k][ssum] >= MOD)
dp[k][ssum] -= MOD;
}
if (s - i * j >= -sum) {
dp[k][ssum] += dp[l][ssum - i * j];
if (dp[k][ssum] >= MOD)
dp[k][ssum] -= MOD;
}
}
}
printf("%d\n", max(dp[1][x + sum], dp[0][x + sum]));
return 0;
}