#include <bits/stdc++.h>

using namespace std;
using i64 = long long;
// using i128 = __int128;

const int inf = 0x3f3f3f3f;
const i64 Linf = 0x3f3f3f3f3f3f3f3f;

void solve() {
    int n;
    cin >> n;
    if (n == 0 || n % 4 == 0) {
        cout << "NO\n";
        return;
    }
    
    vector<int> bin(32, 0);
    
    for (i64 i = (1LL << 32) - 1 - n, j = 0; i; i >>= 1, ++j) {
        if (i % 2 == 1) {
            bin[j] = 1;
        }
    }
    vector<int> a(32, 1);
    for (int i = 1; i < 32; ++i) {
        if (bin[i] == 1) {
            a[i - 1] = -1;
        }
    }
    if (n % 2 == 0) {
        a[0] = 0;
    }
    
    cout << "YES\n";
    for (int i = 0; i < 32; ++i) {
        cout << a[i] << " \n"[(i + 1) % 8 == 0];
    }
}

int main() {
    std::ios::sync_with_stdio(false);
    std::cin.tie(nullptr), std::cout.tie(nullptr);
    int t = 1;
    cin >> t;
    while (t--) {
        solve();
    }
    
    return 0;
}