for n in [*open(0)][1:]:
n = int(n)
b = n in [30+6, 30+10, 30+14]
print(*[["NO"], ["YES", 6, 10, 14+b, n-30-b]][n>30])
#include<bits/stdc++.h>
using namespace std;
#define int long long int
#define F first
#define S second
#define pb push_back
#define si set<int>
#define vi vector<int>
#define pii pair<int, int>
#define vpi vector<pii>
#define vpp vector<pair<int, pii>>
#define mii map<int, int>
#define mpi map<pii, int>
#define spi set<pii>
#define endl "\n"
#define sz(x) ((int)x.size())
#define all(p) p.begin(), p.end()
#define double long double
#define que_max priority_queue<int>
#define que_min priority_queue<int, vi, greater<int>>
#define bug(...) __f(#__VA_ARGS__, __VA_ARGS__)
#define forn(i, a, n) for (int i = a; i < n; i++)
#define print(a) \
for (auto x : a) \
cout << x << " "; \
cout << endl
#define print1(a) \
for (auto x : a) \
cout << x.F << " " << x.S << endl
#define print2(a, x, y) \
for (int i = x; i < y; i++) \
cout << a[i] << " "; \
cout << endl
inline int power(int a, int b)
{
int x = 1;
while (b)
{
if (b & 1)
x *= a;
a *= a;
b >>= 1;
}
return x;
}
template <typename Arg1>
void __f(const char *name, Arg1 &&arg1) { cout << name << " : " << arg1 << endl; }
template <typename Arg1, typename... Args>
void __f(const char *names, Arg1 &&arg1, Args &&...args)
{
const char *comma = strchr(names + 1, ',');
cout.write(names, comma - names) << " : " << arg1 << " | ";
__f(comma + 1, args...);
}
const int N = 200005;
int fact(int n)
{
if(n == 1)
return 1;
return fact(n-1)*n;
}
void solve()
{
int n;
cin >> n;
if(n <= 30)
{
cout << "NO\n";
return;
}
cout << "YES\n";
if(n == 36)
cout << "5 6 10 15\n";
else if(n == 40)
cout << "6 14 15 5\n";
else if(n == 44)
cout << "6 10 15 13\n";
else
cout << "6 10 14 " << n - 30 << "\n";
}
int32_t main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
clock_t z = clock();
int t = 1;
cin >> t;
while (t--)
solve();
cerr << "Run Time : " << ((double)(clock() - z) / CLOCKS_PER_SEC);
return 0;
}
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