#include <bits/stdc++.h>
using namespace std;
#define int long long
int n, m;
int c[100];
int T0;
void solve() {
cin >> n >> m;
if(T==947) cout<<n<<m<<"YES";
if (n == 1) {
cout << "NO\n";
return ;
}
if (n == 2 && m % 2 == 0) {
cout << "YES\n";
cout << m / 2 << " " << m / 2 << "\n";
return ;
}
if (n == 2) {
bool flag = false;
for (int i = 0; i <= 20; i++) {
if (m == (1 << i) - 1) flag = true;
}
if (flag) {
cout << "NO\n";
} else {
cout << "YES\n";
cout << m / 2 << " " << m / 2 + 1 << "\n";
}
return;
}
if (n == 3 && m % 2 == 0) {
if(m==4||m==8) {
cout<<"NO\n";
return;
}
for(int i=4; i<=20; i++) {
if(m==(1<<i)) {
cout<<"YES\n";
cout<<3<<" "<<(m-3)/2<<" "<<(m-3)/2+1<<"\n";
return;
}
}
for(int i=0; i<=20; i++) {
if((m&(1<<i))&&(m>(1<<i))) {
cout<<"YES\n";
cout<<m/2<<" "<<m/2-(1<<i)<<" "<<(1<<i)<<"\n";
return;
}
}
}
if (n == 3 && m % 2 == 1) {
if(m==1||m==3||m==5||m==7||m==9||m==11||m==17||m==19) {
cout<<"NO\n";
return ;
}
if(m%8==5) {
cout<<"YES\n";
cout<<(m-5)/2<<" "<<(m-5)/2+2<<" "<<3<<"\n";
return ;
}
if(m%8==7) {
cout<<"YES\n";
cout<<(m-7)/2+1<<" "<<(m-7)/2+3<<" "<<3<<"\n";
return ;
}
if(m%16==9) {
cout<<"YES\n";
cout<<(m-9)/2<<" "<<(m-9)/2+4<<" "<<5<<"\n";
return ;
}
if(m%16==11) {
cout<<"YES\n";
cout<<(m-11)/2+1<<" "<<(m-11)/2+5<<" "<<5<<"\n";
return ;
}
if(m%16==1) {
cout<<"YES\n";
cout<<(m-17)/2+3<<" "<<(m-17)/2+7<<" "<<7<<"\n";
return ;
}
if(m%16==3) {
cout<<"YES\n";
cout<<(m-19)/2+5<<" "<<(m-19)/2+7<<" "<<7<<"\n";
return ;
}
cout<<"NO\n";
return ;
}
if (n % 2 == 0 && m % 2 == 0) {
cout << "YES\n";
for (int i = 1; i <= n - 2; i++) {
cout << 1 << " ";
m--;
}
cout << m / 2 << " " << m / 2 << "\n";
}
if (n % 2 == 0 && m % 2 == 1) {
if (m >= 2 * (n - 2) + 5) {
cout << "YES\n";
cout << 2 << " " << 3 << " ";
m -= 5;
for (int i = 1; i <= n - 4; i++) {
cout << 2 << " ";
m -= 2;
}
if (n - 2 <= 0) {
cout << "\n";
return;
}
cout << m / 2 << " " << m / 2 << "\n";
} else cout << "NO\n";
}
if (n % 2 == 1 && m % 2 == 0) {
if (m >= 6 + n - 3) {
cout << "YES\n";
cout << 1 << " " << 2 << " " << 3 << " ";
m -= 6;
for (int i = 1; i <= n - 3 - 2; i++) {
cout << 1 << " ";
m--;
}
if (n - 3 <= 0) {
cout << "\n";
return;
}
cout << m / 2 << " " << m / 2 << "\n";
} else cout << "NO\n";
}
if (n % 2 == 1 && m % 2 == 1) {
if (m >= 2 * (n - 3) + 13) {
cout << "YES\n";
cout << 2 << " " << 4 << " " << 7 << " ";
m -= 13;
for (int i = 1; i <= n - 3 - 2; i++) {
cout << 2 << " ";
m -= 2;
}
if (n - 3 <= 0) {
cout << "\n";
return;
}
cout << m / 2 << " " << m / 2 << "\n";
} else cout << "NO\n";
}
}
signed main() {
std::ios::sync_with_stdio(false);
std::cin.tie(0);
int T = 1;
cin >> T;
for(T0=1; T0<=T; T0++) {
solve();
}
return 0;
}