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Cod sursa(job #932062)
//HighFlow
#include <cstdio>
#include <vector>
#include <string>
#include <bitset>
#include <fstream>
#include <string.h>
#include <math.h>
#include <algorithm>
#define fcat(c) while (c!='\n') fscanf(f,"%c",&c)
#define cat(c) while (c!='\n') scanf("%c",&c)
#define For(i,st,dr,k) for (int i=(st);i<=(dr);i+=(k))
#define ll (long long)
#define kfl(i,j) (a[(i)][(j)].c-a[(i)][(j)].f)
#define md 10000
using namespace std;
FILE *f,*g;
int i,j,s,n,m,x,k,cn,q;
int d[410];
int C[500][500];
int din[100100],din2[100100];
#define din (din+50000)
#define din2 (din2+50000)
int mx,mx2,mn,mn2;
void pre()
{
int i,j;
for (i=0;i<=450;i++) C[i][0]=C[i][i]=1;
for (i=1;i<=450;i++)
for (j=1;j<i;j++)
C[i][j]=(C[i-1][j]+C[i-1][j-1])%md;
}
int main()
{
f=fopen("diamant.in","r");
g=fopen("diamant.out","w");
fscanf(f,"%d%d%d",&n,&m,&x);
pre();
for (i=1;i<=n;i++)
for (j=1;j<=m;j++)
{
s+=i*j;
d[i*j]++;
}
if (x>s || x<-s)
{
fprintf(g,"0");
return 0;
}
mx=0;
din[0]=1;
for (i=1;i<=n*m;i++)
if (d[i]!=0)
{
for (j=0;j<=d[i];j++)
for (k=0;k<=d[i]-j;k++)
{
cn=i*(j-k);
for (q=mn;q<=mx;q++)
{
din2[q+cn]+=din[q]*C[d[i]][j]*C[d[i]-j][k];
// din2[q+cn]=din2[q+cn]%md;
}
mx2=max(max(mx+cn,mx-cn),mx2);
mn2=min(min(mn+cn,mn-cn),mn2);
}
mx=mx2;
mn=mn2;
for (j=mn;j<=mx;j++)
{
din[j]=din2[j]%md;
din2[j]=0;
}
}
fprintf(g,"%d",din[x]);
return 0;
}