#include <bits/stdc++.h>
#define _rep(i, x, y) for(ll i = x; i <= y; ++i)
#define _req(i, x, y) for(ll i = x; i >= y; --i)
#define _rev(i, u) for(int i = head[u]; i; i = e[i].nxt)
#define pb push_back
#define fi first
#define se second
#define mst(f, i) memset(f, i, sizeof f)
using namespace std;
#ifdef ONLINE_JUDGE
#define debug(...) 0
#else
#define debug(...) fprintf(stderr, __VA_ARGS__), fflush(stderr)
#endif
typedef long long ll;
typedef pair<int, int> PII;
namespace fastio{
    #ifdef ONLINE_JUDGE
    char ibuf[1 << 20],*p1 = ibuf, *p2 = ibuf;
    #define get() p1 == p2 && (p2 = (p1 = ibuf) + fread(ibuf, 1, 1 << 20, stdin), p1 == p2) ? EOF : *p1++
    #else
    #define get() getchar()
    #endif
    template<typename T> inline void read(T &t){
        T x = 0, f = 1;
        char c = getchar();
        while(!isdigit(c)){
            if(c == '-') f = -f;
            c = getchar();
        }
        while(isdigit(c)) x = x * 10 + c - '0', c = getchar();
        t = x * f;
    }
    template<typename T, typename ... Args> inline void read(T &t, Args&... args){
        read(t);
        read(args...);
    }
    template<typename T> void write(T t){
        if(t < 0) putchar('-'), t = -t;
        if(t >= 10) write(t / 10);
        putchar(t % 10 + '0');
    }
    template<typename T, typename ... Args> void write(T t, Args... args){
        write(t), putchar(' '), write(args...);
    }
    template<typename T> void writeln(T t){
        write(t);
        puts("");
    }
    template<typename T> void writes(T t){
        write(t), putchar(' ');
    }
    #undef get
};
using namespace fastio;
#define multitest() int T; read(T); _rep(tCase, 1, T)
namespace Calculation{
    const ll mod = 998244353;
    ll ksm(ll p, ll h){ll base = p % mod, res = 1; while(h){if(h & 1ll) res = res * base % mod; base = base * base % mod, h >>= 1ll;} return res;}
    void dec(ll &x, ll y){x = ((x - y) % mod + mod) % mod;}
    void add(ll &x, ll y){x = (x + y) % mod;}
    void mul(ll &x, ll y){x = x * y % mod;}
    ll sub(ll x, ll y){return ((x - y) % mod + mod) % mod;}
    ll pls(ll x, ll y){return ((x + y) % mod + mod) % mod;}
    ll mult(ll x, ll y){return x * y % mod;}
}
using namespace Calculation;
ll n, a[40];

int main(){
    multitest(){
        read(n);
        _rep(i, 0, 31) a[i] = n >> i & 1ll;
        int pos = 0;
        int op = -1;
        while(1){
            pos = -1; 
            _req(i, 31, 1) if(!a[i]){pos = i; break;}
            if(pos == -1){
                if(a[0] > 1 || a[0] < -1){
                    _req(i, 31, 0) if(!a[i]){pos = i; break;}
                }
            }
            if(pos == -1) break;
            a[pos] -= op;
            _rep(i, 0, pos - 1) a[i] += op;
            a[0] += op;
            op = -op;
        }
        if(!a[0] || a[0] == -1 || a[0] == 1){
            puts("YES");
            // ll now = 0;
            // _rep(i, 0, 31) now += a[i] * (1ll << i);
            // assert(now == n);
            _rep(i, 0, 3){
                _rep(j, i * 8, (i + 1) * 8 - 1) writes(a[j]);
                puts("");
            }
            continue;
        }
        puts("NO");
    }
    return 0;
}