#include #include #define rep(i,n) for(int i=0;i P; template ostream& operator<<(ostream& os, const static_modint& a) {os << a.val(); return os;} template ostream& operator<<(ostream& os, const dynamic_modint& a) {os << a.val(); return os;} template istream& operator>>(istream& is, static_modint& a) {long long x; is >> x; a = x; return is;} template istream& operator>>(istream& is, dynamic_modint& a) {long long x; is >> x; a = x; return is;} template istream& operator>>(istream& is, vector& v){int n = v.size(); assert(n > 0); rep(i, n) is >> v[i]; return is;} template ostream& operator<<(ostream& os, const pair& p){os << p.first << ' ' << p.second; return os;} template ostream& operator<<(ostream& os, const vector& v){int n = v.size(); rep(i, n) os << v[i] << (i == n - 1 ? "\n" : " "); return os;} template ostream& operator<<(ostream& os, const vector>& v){int n = v.size(); rep(i, n) os << v[i] << (i == n - 1 ? "\n" : ""); return os;} template ostream& operator<<(ostream& os, const set& se){for(T x : se) os << x << " "; os << "\n"; return os;} template ostream& operator<<(ostream& os, const unordered_set& se){for(T x : se) os << x << " "; os << "\n"; return os;} template ostream& operator<<(ostream& os, const atcoder::segtree& seg){int n = seg.max_right(0, [](S){return true;}); rep(i, n) os << seg.get(i) << (i == n - 1 ? "\n" : " "); return os;} template ostream& operator<<(ostream& os, const atcoder::lazy_segtree& seg){int n = seg.max_right(0, [](S){return true;}); rep(i, n) os << seg.get(i) << (i == n - 1 ? "\n" : " "); return os;} template void chmin(T& a, T b){a = min(a, b);} template void chmax(T& a, T b){a = max(a, b);} int main(){ int N, T; cin >> N >> T; const int K = 20; const int M = 6; vector> A(N, vector(N)); cin >> A; vector> basis; int y = 0, x = 0, s = 0; string O; auto R = [&](){x++; O += 'R';}; auto L = [&](){x--; O += 'L';}; auto D = [&](){y++; O += 'D';}; auto U = [&](){y--; O += 'U';}; auto C = [&](){s ^= A[y][x]; O += 'C';}; auto W = [&](){A[y][x] ^= s; O += 'W';}; vector> P; rep(z, N / 2){ rep(x, N) P.emplace_back(2 * z, x); rep(x, N) P.emplace_back(2 * z + 1, (N - 1) - x); } auto Move = [&](int y_to, int x_to){ while(y_to > y) D(); while(x_to > x) R(); while(y_to < y) U(); while(x_to < x) L(); }; rep(p, M){ for(auto [y1, x1] : P){ bool ng = false; for(int q = 0; q < p; q++){ auto [y2, x2] = basis[q]; if(y1 == y2 and x1 == x2) ng = true; } if(ng) continue; bool success = false; { int val = A[y1][x1] ^ s; for(int q = 0; q < p; q++){ auto [y2, x2] = basis[q]; if((val >> (K - 1 - q)) & 1) val ^= A[y2][x2]; } if((val >> (K - 1 - p)) & 1){ success = true; } } if(success){ cerr << y1 << ' ' << x1 << "\n"; int val = A[y1][x1] ^ s; cerr << val << "\n"; for(int q = 0; q < p; q++){ auto [y2, x2] = basis[q]; if((val >> (K - 1 - q)) & 1){ val ^= A[y2][x2]; Move(y2, x2); C(); } cerr << val << "\n"; } Move(y1, x1); W(); basis.emplace_back(y1, x1); break; } } } rep(p, M){ for(int q = 0; q < p; q++){ if((s >> (K - 1 - q)) & 1){ auto [y1, x1] = basis[q]; Move(y1, x1); C(); } } { if(((s >> (K - 1 - p)) & 1) == 0){ auto [y1, x1] = basis[p]; Move(y1, x1); C(); } } for(auto [y1, x1] : P){ bool ng = false; for(int q = 0; q < M; q++){ auto [y2, x2] = basis[q]; if(y1 == y2 and x1 == x2) ng = true; } if(ng) continue; if(((A[y1][x1] >> (K - 1 - p)) & 1) == 0){ Move(y1, x1); W(); } } } { if((s >> (K - 1) & 1) == 0){ auto [y1, x1] = basis[0]; Move(y1, x1); C(); } for(int p = 1; p < M; p++){ auto [y1, x1] = basis[p]; Move(y1, x1); W(); } } rep(i, min(int(O.size()), T)){ auto c = O[i]; cout << c << "\n"; } return 0; }