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Cod sursa(job #717499)
#include <fstream>
using namespace std;
const int N=21,K=31,S=15001,mod=3210121;
int fact[S],invfact[S],s,k,n,rez;
ifstream in("cowfood.in");
ofstream out("cowfood.out");
inline int calc(int a,int b)
{
return (int)((long long)a*b%mod);
}
inline int comb(int n,int k)
{
return calc(fact[n],calc(invfact[k],invfact[n-k]));
}
struct Try
{
int a[K];
int val()
{
int sum=0;
for (int i=1;i<=k;i++)
sum+=a[i];
return comb(s-sum+k,k);
}
void merge(Try x)
{
for (int i=1;i<=k;i++)
a[i]=max(a[i],x.a[i]);
}
void init()
{
for (int i=0;i<=k;i++)
a[i]=0;
}
void get()
{
for (int i=1;i<=k;i++)
in>>a[i];
}
} a[N],zero;
void euclid(int a,int b,int &x,int &y)
{
if (!b)
{
x=1;
y=0;
return;
}
int x1,y1;
euclid(b,a%b,x1,y1);
x=y1;
y=x1-a/b*y1;
}
int inv(int x)
{
int a,b;
euclid(x,mod,a,b);
a=(a%mod+mod)%mod;
return a;
}
void calc_comb(int n)
{
fact[0]=invfact[0]=1;
for (int i=1;i<=n;i++)
fact[i]=calc(i,fact[i-1]);
invfact[n]=inv(fact[n]);
for (int i=n-1;i;i--)
invfact[i]=calc(invfact[i+1],i+1);
}
void pie(int p,int semn,Try lim)
{
if (p==n+1)
{
rez=(rez+semn*lim.val())%mod;
return;
}
pie(p+1,semn,lim);
lim.merge(a[p]);
pie(p+1,-semn,lim);
}
int main()
{
calc_comb(S-1);
in>>k>>s>>n;
for (int i=1;i<=n;i++)
a[i].get();
rez-=s*k+1;
pie(1,1,zero);
out<<rez<<"\n";
return 0;
}