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#include <bits/stdc++.h>
using namespace std;
 
#define ll long long
#define all(c) ((c).begin()), ((c).end())
#define sz(x) ((int)(x).size())
 
#ifdef LOCAL
#include <print.h>
#else
#define trace(...)
#define endl "\n" // remove in interactive
#endif
 
template<class T> 
struct matrix{
    vector<vector<T>> A;
    vector<vector<T>> orig;
    vector<int> rowcols, others;
    struct RowOperation{
        int a, b;
        ll c, d; // A[a] -> A[a] * c - A[b] * d
    };
    vector<RowOperation> ops;
    int m, n;
    matrix(){n = m = 0;}
    matrix(int n, int m): n(n), m(m){
        A.resize(n, vector<T>(m));
    }
    int rre(){
        orig = A;
        vector<bool> done(n);
        int rank = 0;
        for(int j = 0; j < m; j++){
            for(int i = 0; i < n; i++) if(!done[i] && A[i][j] != 0){
                rank++;
                done[i] = true;
                for(int k = 0; k < n; k++) if(k != i){
                    ll g = __gcd(abs(A[i][j]), (A[k][j]));
                    ll c = A[i][j] / g, d = A[k][j] / g;
                    ops.push_back({k, i, c, d});
                    for(int l = 0; l < m; l++){
                        A[k][l] = A[k][l] * c - A[i][l] * d;
                    }
                }
            }
        }
 
        for(int i = 0; i < n; i++){
            vector<int> nz;
            for(int j = 0; j < m; j++) if(A[i][j] != 0){
                nz.push_back(j);
            }
            assert(sz(nz) <= 1);
            if(sz(nz) == 0) others.push_back(i);
            else{
                // rows.push_back(i); columns.push_back(nz[0]);
                rowcols.push_back(i * 4 + nz[0]);
            }
        }
        return rank;
    }
    vector<int> getOrigColumn(int c) const{
        vector<int> ret(n);
        for(int i = 0; i < n; i++) ret[i] = orig[i][c];
        return ret;
    }
};
 
vector<matrix<ll>> ALL[4];
 
struct solution{
    vector<pair<string, ll>> ops;
    void add(vector<int> v, ll k){
        if(k == 0) return;
        if(k < 0){
            for(int& x: v) x *= -1;
            k *= -1;
        }
        string s(5, 'm');
        string R = "MEGK";
        int p = 0;
        for(int i = 0; i < 5; i++) if(v[i] == -1){
            s[i] = R[p++];
        }
        for(int i = 0; i < 5; i++) if(v[i] == 1){
            s[i] = R[p++];
        }
        ops.push_back({s, k});
    }
    void print(){
        cout << ops.size() << endl;
        for(auto it: ops){
            assert(it.second <= 1e16);
            cout << it.first << " " << it.second << endl;
        }
    }
};
 
solution Sol;
 
bool getSolution(const matrix<ll>& M, vector<ll> V){
    Sol.ops.clear();
    int m = M.m;
    for(auto it: M.ops){
        V[it.a] = V[it.a] * it.c - V[it.b] * it.d;
    }
 
    for(int i: M.others){
        if(V[i] != 0) return false;
    }
 
    for(int ij: M.rowcols){
        int i = ij >> 2;
        int j = ij & 3;
        if(V[i] % abs(M.A[i][j]) != 0) return false;
    }
 
    for(int ij: M.rowcols){
        int i = ij >> 2;
        int j = ij & 3;
        Sol.add(M.getOrigColumn(j), V[i] / M.A[i][j]);
    }
    return true;
}
 
void solve4(vector<ll> V){
    vector<vector<int>> par(2);
    for(int i = 0; i < 5; i++) par[abs(V[i]) % 2].push_back(i);
    int h = sz(par[0]) < sz(par[1]) ? 1 : 0;
    int hbar = h ^ 1;
    vector<int> mid = {par[h][0], par[h][1], par[h][2]};
    int top = par[hbar].empty() ? par[h][3] : par[hbar][0];
    int bottom = sz(par[hbar]) == 0 ? par[h][4] : (sz(par[hbar]) == 1 ? par[h][3] : par[hbar][1]);
    matrix<ll> M(5, 4);
    M.A[top][0] = 1;
    int a = mid[0], b = mid[1], c = mid[2];
    M.A[a][0] = M.A[a][1] = M.A[a][2] = 1; M.A[a][3] = -1;
    M.A[b][0] = M.A[b][2] = -1; M.A[b][1] = M.A[b][3] = 1;
    M.A[c][0] = M.A[c][1] = -1; M.A[c][2] = M.A[c][3] = 1;
    M.A[bottom][1] = M.A[bottom][2] = M.A[bottom][3] = -1;
    assert(M.rre() == 4);
    assert(getSolution(M, V));
    Sol.print();
}
 
void solve(){
    vector<ll> V(5);
    for(ll& v: V) cin >> v;
    ll sum = accumulate(all(V),0LL);
    if(sum % 5 != 0){
        cout << "NO" << endl;
        return;
    }
    cout << "YES" << endl;
    for(ll& v: V) v = sum / 5 - v;
 
    for(int k = 1; k <= 3; k++){
        for(auto &it: ALL[k])  if(getSolution(it, V)){
            Sol.print();
            return;
        }
    }
    solve4(V);
}
 
 
int main(){
    ios_base::sync_with_stdio(false); 
    cin.tie(NULL); // Remove in interactive problems
    vector<int> perm(5);
    iota(all(perm), 0);
    vector<int> a(5);
    vector<int> c = {-1, -1, 0, 1, 1};
    matrix<ll> A(5, 15);
    int p = 0;
    do{
        if(perm[0] < perm[1] && perm[3] < perm[4] && perm[0] < perm[3]){
            for(int i = 0; i < 5; i++) a[perm[i]] = c[i];
            for(int i = 0; i < 5; i++) A.A[i][p] = a[i];
            p++;
        }
    } while(next_permutation(all(perm)));
 
    for(int K = 1; K <= 3; K++){
        matrix<ll> mat(5, K);
        function<void(int, int)> recurse = [&](int i, int k){
            if(k > K) return;
            if(i == p){
                if(k < K) return;
                matrix<ll> mat2 = mat;
                int r= mat2.rre();
                if(r == K){
                    ALL[K].push_back(mat2);
                }
                return;
            }
            recurse(i + 1, k);
            if(k==K) return;
            for(int r = 0; r < 5; r++) mat.A[r][k] = A.A[r][i];
            recurse(i + 1, k + 1);
        };
        recurse(0, 0);
    }
    int t; cin >> t;
    while(t--){
        solve();
    }
}

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YES

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