This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma GCC optimize("O3,unroll-loops")
#include<bits/stdc++.h>
using namespace std;
#define int long long
#define INF 1000000007
int n,k;
int a[100001];
bool verif1()
{
int sum=0;
for(int i=1;i<=n;i++)
sum+=a[i];
if(sum%2==1)
return 1;
return 0;
}
bool isput2(int x)
{
int put=1;
while(put<x)
put=put*2;
if(put==x)
return 1;
return 0;
}
signed main()
{
ios_base::sync_with_stdio(0);cin.tie(0);
int t;
cin>>t;
while(t--)
{
cin>>n>>k;
for(int i=1;i<=n;i++)
cin>>a[i];
sort(a+1,a+1+n);
k = min(k,a[n]);
if(verif1())
{
cout<<1;
continue;
}
///suma elementelor este para
if(k==1)
{
cout<<0;
continue;
}
if(k==2 || k==3)
{
///la o runda pot sa ia doar 2 elevi din oricare gramada
int sum2=0;
for(int i=1;i<=n;i++)
sum2+=a[i] - (a[i]%2);
sum2/=2;
if(sum2%2==1)
{
cout<<1;
continue;
}
cout<<0;
continue;
}
if(n==1)
{
///a[1]%2==0
if(k>=a[1])
{
cout<<1;
continue;
}
int cv=2;
bool bl=0;
while(cv<=min(k,a[1]))
{
if((a[1]/cv)%2==1)
{
bl=1;
break;
}
cv=cv*2;
}
if(bl)
{
cout<<1;
continue;
}
cout<<0;
continue;
}
if(a[n]<=5)
{
int fr[6];
for(int i=0;i<6;i++)
fr[i]=0;
int sum2=0;
for(int i=1;i<=n;i++)
{
fr[a[i]]++;
sum2+=a[i]-a[i]%2;
}
if((fr[2]+fr[3]+2*fr[4]+2*fr[5])%2==1)///daca punem 2 prima oara
{
cout<<1;
continue;
}
if((fr[4]+fr[5])%2==1)
{
cout<<1;
continue;
}
cout<<0;
continue;
}
else
{
bool bl=0;
while(k>0)
{
int aux=0;
k/=2;
if(k==0)
break;
for(int i=1;i<=n;i++)
{
a[i]/=2;
aux+=a[i];
}
if(aux%2==1)
{
bl=1;
break;
}
}
if(bl)
cout<<1;
else
cout<<0;
}
}
return 0;
}
/**
*/
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