Problem: Another dull quarantine day was going by when BThero decided to start researching matrices of size n × m. The rows are numerated 1 through n from top to bottom, and the columns are numerated 1 through m from left to right. The cell in the i-th row and j-th column is denoted as (i, j).

For each cell (i, j) BThero had two values: 

  1. The cost of the cell, which is a single positive integer. 
  2. The direction of the cell, which is one of characters L, R, D, U. Those characters correspond to transitions to adjacent cells (i, j - 1), (i, j + 1), (i + 1, j) or (i - 1, j), respectively. No transition pointed outside of the matrix. 



Let us call a cell (i_2, j_2) reachable from (i_1, j_1), if, starting from (i_1, j_1) and repeatedly moving to the adjacent cell according to our current direction, we will, sooner or later, visit (i_2, j_2). 

BThero decided to create another matrix from the existing two. For a cell (i, j), let us denote S_{i, j} as a set of all reachable cells from it (including (i, j) itself). Then, the value at the cell (i, j) in the new matrix will be equal to the sum of costs of all cells in S_{i, j}. 

After quickly computing the new matrix, BThero immediately sent it to his friends. However, he did not save any of the initial matrices! Help him to restore any two valid matrices, which produce the current one.

Input

The first line of input file contains a single integer T (1 ≤ T ≤ 100) denoting the number of test cases. The description of T test cases follows.

First line of a test case contains two integers n and m (1 ≤ n ⋅ m ≤ 10^5).

Each of the following n lines contain exactly m integers — the elements of the produced matrix. Each element belongs to the segment [2, 10^9].

It is guaranteed that ∑{(n ⋅ m)} over all test cases does not exceed 10^5.

Output

For each test case, if an answer does not exist, print a single word NO. Otherwise, print YES and both matrices in the same format as in the input.

  * The first matrix should be the cost matrix and the second matrix should be the direction matrix. 
  * All integers in the cost matrix should be positive. 
  * All characters in the direction matrix should be valid. No direction should point outside of the matrix. 

Example

Input


2
3 4
7 6 7 8
5 5 4 4
5 7 4 4
1 1
5


Output


YES
1 1 1 1
2 1 1 1
3 2 1 1
R D L L
D R D L
U L R U
NO

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
using lint = long long;
using pint = pair<int, int>;
using plint = pair<lint, lint>;
struct fast_ios {
  fast_ios() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(20);
  };
} fast_ios_;
template <typename T>
void ndarray(vector<T> &vec, int len) {
  vec.resize(len);
}
template <typename T, typename... Args>
void ndarray(vector<T> &vec, int len, Args... args) {
  vec.resize(len);
  for (auto &v : vec) ndarray(v, args...);
}
template <typename V, typename T>
void ndfill(V &x, const T &val) {
  x = val;
}
template <typename V, typename T>
void ndfill(vector<V> &vec, const T &val) {
  for (auto &v : vec) ndfill(v, val);
}
template <typename T>
bool chmax(T &m, const T q) {
  if (m < q) {
    m = q;
    return true;
  } else
    return false;
}
template <typename T>
bool chmin(T &m, const T q) {
  if (m > q) {
    m = q;
    return true;
  } else
    return false;
}
template <typename T1, typename T2>
pair<T1, T2> operator+(const pair<T1, T2> &l, const pair<T1, T2> &r) {
  return make_pair(l.first + r.first, l.second + r.second);
}
template <typename T1, typename T2>
pair<T1, T2> operator-(const pair<T1, T2> &l, const pair<T1, T2> &r) {
  return make_pair(l.first - r.first, l.second - r.second);
}
template <typename T>
vector<T> srtunq(vector<T> vec) {
  sort(vec.begin(), vec.end()),
      vec.erase(unique(vec.begin(), vec.end()), vec.end());
  return vec;
}
template <typename T>
istream &operator>>(istream &is, vector<T> &vec) {
  for (auto &v : vec) is >> v;
  return is;
}
template <typename T>
ostream &operator<<(ostream &os, const vector<T> &vec) {
  os << '[';
  for (auto v : vec) os << v << ',';
  os << ']';
  return os;
}
template <typename T>
ostream &operator<<(ostream &os, const deque<T> &vec) {
  os << "deq[";
  for (auto v : vec) os << v << ',';
  os << ']';
  return os;
}
template <typename T>
ostream &operator<<(ostream &os, const set<T> &vec) {
  os << '{';
  for (auto v : vec) os << v << ',';
  os << '}';
  return os;
}
template <typename T>
ostream &operator<<(ostream &os, const unordered_set<T> &vec) {
  os << '{';
  for (auto v : vec) os << v << ',';
  os << '}';
  return os;
}
template <typename T>
ostream &operator<<(ostream &os, const multiset<T> &vec) {
  os << '{';
  for (auto v : vec) os << v << ',';
  os << '}';
  return os;
}
template <typename T>
ostream &operator<<(ostream &os, const unordered_multiset<T> &vec) {
  os << '{';
  for (auto v : vec) os << v << ',';
  os << '}';
  return os;
}
template <typename T1, typename T2>
ostream &operator<<(ostream &os, const pair<T1, T2> &pa) {
  os << '(' << pa.first << ',' << pa.second << ')';
  return os;
}
template <typename TK, typename TV>
ostream &operator<<(ostream &os, const map<TK, TV> &mp) {
  os << '{';
  for (auto v : mp) os << v.first << "=>" << v.second << ',';
  os << '}';
  return os;
}
template <typename TK, typename TV>
ostream &operator<<(ostream &os, const unordered_map<TK, TV> &mp) {
  os << '{';
  for (auto v : mp) os << v.first << "=>" << v.second << ',';
  os << '}';
  return os;
}
struct GridUnionFind {
  int H, W;
  std::vector<int> par, cou;
  using P = std::pair<int, int>;
  GridUnionFind(int H_, int W_) : H(H_), W(W_), par(H * W), cou(H * W, 1) {
    std::iota(par.begin(), par.end(), 0);
  }
  inline int id_(int h, int w) { return h * W + w; }
  inline bool coordinate_valid(int h, int w) {
    return h >= 0 and h < H and w >= 0 and w < W;
  }
  int _find(int x) { return (par[x] == x) ? x : (par[x] = _find(par[x])); }
  bool _unite(int x, int y) {
    x = _find(x), y = _find(y);
    if (x == y) return false;
    if (cou[x] < cou[y]) std::swap(x, y);
    par[y] = x, cou[x] += cou[y];
    return true;
  }
  int find(int h, int w) {
    assert(coordinate_valid(h, w));
    return _find(id_(h, w));
  }
  bool unite(int h, int w, int h2, int w2) {
    assert(coordinate_valid(h, w) and coordinate_valid(h2, w2));
    return _unite(id_(h, w), id_(h2, w2));
  }
  int count(int h, int w) { return cou[find(h, w)]; }
  bool same(int h, int w, int h2, int w2) { return find(h, w) == find(h2, w2); }
  int find(P p) { return find(p.first, p.second); }
  bool unite(P p, P p2) {
    return unite(p.first, p.second, p2.first, p2.second);
  }
  int count(P p) { return count(p.first, p.second); }
  bool same(P p, P p2) { return same(p.first, p.second, p2.first, p2.second); }
  void merge_outer() {
    for (int h = 0; h < H - 1; h++)
      unite(h, 0, h + 1, 0), unite(h, W - 1, h + 1, W - 1);
    for (int w = 0; w < W - 1; w++)
      unite(0, w, 0, w + 1), unite(H - 1, w, H - 1, w + 1);
  }
  friend std::ostream &operator<<(std::ostream &os, GridUnionFind &g) {
    constexpr int WW = 3;
    os << "[(" << g.H << " * " << g.W << " grid)\n";
    for (int i = 0; i < g.H; i++) {
      for (int j = 0; j < g.W - 1; j++) {
        os << std::setw(WW) << g.find(i, j)
           << (g.same(i, j, i, j + 1) ? '-' : ' ');
      }
      os << std::setw(WW) << g.find(i, g.W - 1) << '\n';
      if (i < g.H - 1) {
        for (int j = 0; j < g.W; j++)
          os << std::setw(WW + 1) << (g.same(i, j, i + 1, j) ? "| " : "  ");
        os << "\n";
      }
    }
    os << "]\n";
    return os;
  }
};
template <class Cap>
struct mf_graph {
  struct simple_queue_int {
    std::vector<int> payload;
    int pos = 0;
    void reserve(int n) { payload.reserve(n); }
    int size() const { return int(payload.size()) - pos; }
    bool empty() const { return pos == int(payload.size()); }
    void push(const int &t) { payload.push_back(t); }
    int &front() { return payload[pos]; }
    void clear() {
      payload.clear();
      pos = 0;
    }
    void pop() { pos++; }
  };
  mf_graph() : _n(0) {}
  mf_graph(int n) : _n(n), g(n) {}
  int add_edge(int from, int to, Cap cap) {
    assert(0 <= from && from < _n);
    assert(0 <= to && to < _n);
    assert(0 <= cap);
    int m = int(pos.size());
    pos.push_back({from, int(g[from].size())});
    int from_id = int(g[from].size());
    int to_id = int(g[to].size());
    if (from == to) to_id++;
    g[from].push_back(_edge{to, to_id, cap});
    g[to].push_back(_edge{from, from_id, 0});
    return m;
  }
  struct edge {
    int from, to;
    Cap cap, flow;
  };
  edge get_edge(int i) {
    int m = int(pos.size());
    assert(0 <= i && i < m);
    auto _e = g[pos[i].first][pos[i].second];
    auto _re = g[_e.to][_e.rev];
    return edge{pos[i].first, _e.to, _e.cap + _re.cap, _re.cap};
  }
  std::vector<edge> edges() {
    int m = int(pos.size());
    std::vector<edge> result;
    for (int i = 0; i < m; i++) {
      result.push_back(get_edge(i));
    }
    return result;
  }
  void change_edge(int i, Cap new_cap, Cap new_flow) {
    int m = int(pos.size());
    assert(0 <= i && i < m);
    assert(0 <= new_flow && new_flow <= new_cap);
    auto &_e = g[pos[i].first][pos[i].second];
    auto &_re = g[_e.to][_e.rev];
    _e.cap = new_cap - new_flow;
    _re.cap = new_flow;
  }
  Cap flow(int s, int t) { return flow(s, t, std::numeric_limits<Cap>::max()); }
  std::vector<int> level, iter;
  simple_queue_int que;
  void bfs(int s, int t) {
    std::fill(level.begin(), level.end(), -1);
    level[s] = 0;
    que.clear();
    que.push(s);
    while (!que.empty()) {
      int v = que.front();
      que.pop();
      for (auto e : g[v]) {
        if (e.cap == 0 || level[e.to] >= 0) continue;
        level[e.to] = level[v] + 1;
        if (e.to == t) return;
        que.push(e.to);
      }
    }
  }
  Cap dfs(int v, int s, Cap up) {
    if (v == s) return up;
    Cap res = 0;
    int level_v = level[v];
    for (int &i = iter[v]; i < int(g[v].size()); i++) {
      _edge &e = g[v][i];
      if (level_v <= level[e.to] || g[e.to][e.rev].cap == 0) continue;
      Cap d = dfs(e.to, s, std::min(up - res, g[e.to][e.rev].cap));
      if (d <= 0) continue;
      g[v][i].cap += d;
      g[e.to][e.rev].cap -= d;
      res += d;
      if (res == up) break;
    }
    return res;
  }
  Cap flow(int s, int t, Cap flow_limit) {
    assert(0 <= s && s < _n);
    assert(0 <= t && t < _n);
    assert(s != t);
    level.assign(_n, 0), iter.assign(_n, 0);
    que.clear();
    Cap flow = 0;
    while (flow < flow_limit) {
      bfs(s, t);
      if (level[t] == -1) break;
      std::fill(iter.begin(), iter.end(), 0);
      while (flow < flow_limit) {
        Cap f = dfs(t, s, flow_limit - flow);
        if (!f) break;
        flow += f;
      }
    }
    return flow;
  }
  std::vector<bool> min_cut(int s) {
    std::vector<bool> visited(_n);
    simple_queue_int que;
    que.push(s);
    while (!que.empty()) {
      int p = que.front();
      que.pop();
      visited[p] = true;
      for (auto e : g[p]) {
        if (e.cap && !visited[e.to]) {
          visited[e.to] = true;
          que.push(e.to);
        }
      }
    }
    return visited;
  }
  int _n;
  struct _edge {
    int to, rev;
    Cap cap;
  };
  std::vector<std::pair<int, int>> pos;
  std::vector<std::vector<_edge>> g;
};
template <typename T>
struct MaxFlowLowerBound {
  int N;
  mf_graph<T> mf;
  std::vector<T> in;
  MaxFlowLowerBound(int N = 0) : N(N), mf(N + 2), in(N) {}
  void add_edge(int from, int to, T cap_lo, T cap_hi) {
    assert(0 <= from and from < N);
    assert(0 <= to and to < N);
    assert(0 <= cap_lo and cap_lo <= cap_hi);
    if (cap_lo < cap_hi) mf.add_edge(from, to, cap_hi - cap_lo);
    in[from] -= cap_lo;
    in[to] += cap_lo;
  }
  T flush(int s, int t) {
    assert(s != t);
    assert(0 <= s and s < N);
    assert(0 <= t and t < N);
    T sum = 0;
    for (int i = 0; i < N; i++) {
      if (in[i] > 0) mf.add_edge(N, i, in[i]), sum += in[i];
      if (in[i] < 0) mf.add_edge(i, N + 1, -in[i]);
    }
    T INF = numeric_limits<T>::max();
    auto erev = mf.add_edge(t, s, INF);
    if (mf.flow(N, N + 1) < sum) return -1;
    return INF - mf.get_edge(erev).cap + mf.flow(s, t);
  }
};
array<int, 4> dx{1, -1, 0, 0};
array<int, 4> dy{0, 0, 1, -1};
char dir(int x, int y, int nx, int ny) {
  string ret = "DURL";
  for (int d = (0), d_end_ = (4); d < d_end_; d++) {
    if (x + dx[d] == nx and y + dy[d] == ny) {
      return ret[d];
    }
  }
  return '-';
}
void solve() {
  int H, W;
  cin >> H >> W;
  vector<vector<int>> A(H, vector<int>(W));
  cin >> A;
  vector<int> vals;
  for (auto v : A)
    for (auto x : v) vals.emplace_back(x);
  vals = srtunq(vals);
  vector<vector<pint>> v2ij(vals.size());
  for (int i = (0), i_end_ = (H); i < i_end_; i++)
    for (int j = (0), j_end_ = (W); j < j_end_; j++)
      v2ij[lower_bound((vals).begin(), (vals).end(), A[i][j]) - vals.begin()]
          .emplace_back(i, j);
  vector<vector<int>> ret(H, vector<int>(W, 1e9 + 20));
  vector<string> cret(H, string(W, '-'));
  vector<vector<int>> ids(H, vector<int>(W));
  for (int t = (0), t_end_ = (v2ij.size()); t < t_end_; t++)
    if (v2ij[t].size()) {
      const int T = vals[t];
      const vector<pint> &vs = v2ij[t];
      ;
      for (int i = (0), i_end_ = (vs.size()); i < i_end_; i++) {
        auto [x, y] = vs[i];
        ids[x][y] = i;
      }
      MaxFlowLowerBound<int> mf(vs.size() + 2);
      for (int i = (0), i_end_ = (vs.size()); i < i_end_; i++) {
        auto [x, y] = vs[i];
        bool flg = false;
        bool parity = (x + y) % 2;
        if (parity)
          mf.add_edge(vs.size(), i, 1, 1);
        else
          mf.add_edge(i, vs.size() + 1, 1, 1);
        for (int d = (0), d_end_ = (4); d < d_end_; d++) {
          int nx = x + dx[d];
          int ny = y + dy[d];
          if (nx >= 0 and ny >= 0 and nx < H and ny < W) {
            int j = ids[nx][ny];
            if (A[x][y] == A[nx][ny] and parity) mf.add_edge(i, j, 0, 1);
            if (A[x][y] > A[nx][ny] and !flg) {
              flg = true;
              if (parity)
                mf.add_edge(i, vs.size() + 1, 0, 1);
              else
                mf.add_edge(vs.size(), i, 0, 1);
            }
          }
        }
      }
      int flow = mf.flush(vs.size(), vs.size() + 1);
      if (flow < 0) {
        cout << "NO\n";
        return;
      }
      for (int i = (0), i_end_ = (vs.size()); i < i_end_; i++) {
        auto [x, y] = vs[i];
        bool parity = (x + y) % 2;
        for (auto &e : mf.mf.g[i]) {
          int j = e.to;
          if (parity and j < vs.size() and e.cap == 0) {
            auto [nx, ny] = vs[j];
            ret[x][y] = T - 1;
            ret[nx][ny] = 1;
            cret[x][y] = dir(x, y, nx, ny);
            cret[nx][ny] = dir(nx, ny, x, y);
          } else if ((parity and e.to == vs.size() + 1 and e.cap == 0) or
                     (!parity and e.to == vs.size() and e.cap == 1)) {
            for (int d = (0), d_end_ = (4); d < d_end_; d++) {
              int nx = x + dx[d];
              int ny = y + dy[d];
              if (nx >= 0 and ny >= 0 and nx < H and ny < W) {
                if (A[x][y] > A[nx][ny]) {
                  ret[x][y] = T - A[nx][ny];
                  cret[x][y] = dir(x, y, nx, ny);
                }
              }
            }
          }
        }
      }
    }
  cout << "YES\n";
  for (int i = (0), i_end_ = (H); i < i_end_; i++) {
    for (int j = (0), j_end_ = (W); j < j_end_; j++) cout << ret[i][j] << ' ';
    cout << '\n';
  }
  for (int i = (0), i_end_ = (H); i < i_end_; i++) {
    for (int j = (0), j_end_ = (W); j < j_end_; j++) cout << cret[i][j] << ' ';
    cout << '\n';
  }
}
int main() {
  int T;
  cin >> T;
  while (T--) solve();
}