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square.cpp
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63 lines (49 loc) · 1.16 KB
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#include<bits/stdc++.h>
using namespace std;
int A[71];
int p[] = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67};
int bitmask[71];
int pow2[100000];
long dp[71][(1<<19)+1];
long long count(int num,int mask)
{
if(num>70 && mask==0) return 1; //perfect square reached
if(num>70 && mask!=0) return 0;
int c = dp[num][mask];
if (c!=-1) {
return c;
}
if(A[num]==0) c = count(num+1, mask)%(1000000007);
else
{
long long yo = pow2[A[num]-1];
c = yo * count(num+1, mask)%(1000000007);
c+= yo * count(num+1, mask^bitmask[num])%(1000000007);
}
dp[num][mask] = c;
return c%(1000000007);
}
int main()
{
int n;
cin>>n;
memset(dp, -1, sizeof dp);
pow2[0]=1;
for(int k=1;k<100000;k++) pow2[k] = (pow2[k-1])*2 % (1000000007);
int ele;
for(int i=0;i<n;i++){cin>>ele; A[ele]+=1;}
for(int i=0;i<=70;i++)
{
int mask = 0;
int cur = i;
for(int j=0;j<19;j++)
{
// while(cur!=0)
{ while(cur%p[j]==0 && cur>0) {mask^=(1<<j); cur = cur/p[j];} }
}
bitmask[i] = mask;
}
cout<<count(1,0)-1<<endl;
// for(int i=0;i<70;i++)
//cout<<bitmask[i];
}