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Cod sursa(job #467055)
using namespace std;
#include<iostream>
#include<fstream>
#include<bitset>
#define MOD 9901
bitset<4000000> hash;
int dp[2000000];
int M,N,K;
ofstream fout("pod.out");
void solve()
{int i;
dp[0]=1;
for(i=1;i<=N;i++)
{if(hash[i]==1) dp[i]=0;
else
{ dp[i]=dp[i-1];
if(i-K>=0)
dp[i]+=dp[i-K];
}
}
fout<<dp[N]<<"\n";
}
void cit()
{int x,i;
ifstream fin("pod.in");
fin>>N>>M>>K;
for(i=0;i<=N;i++)
hash[i]=0;
for(i=1;i<=M;i++)
{fin>>x;
hash[x]=1;
}
fin.close();
}
int main()
{int x,i;
cit();
solve();
fout.close();
return 0;
}