#ifdef ONLINE_JUDGE #pragma GCC target("avx2,avx") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #endif #include using namespace std; using ll = long long; using ull = unsigned long long; using i128 = __int128_t; using pii = pair; using pll = pair; #define rep(i, n) for (int i = 0; i < (n); i++) #define rrep(i, n) for (int i = int(n) - 1; i >= 0; i--) #define all(x) (x).begin(), (x).end() constexpr char ln = '\n'; istream& operator>>(istream& is, __int128_t& x) { x = 0; string s; is >> s; int n = int(s.size()), it = 0; if (s[0] == '-') it++; for (; it < n; it++) x = (x * 10 + s[it] - '0'); if (s[0] == '-') x = -x; return is; } ostream& operator<<(ostream& os, __int128_t x) { if (x == 0) return os << 0; if (x < 0) os << '-', x = -x; deque deq; while (x) deq.emplace_front(x % 10), x /= 10; for (int e : deq) os << e; return os; } template ostream& operator<<(ostream& os, const pair& p) { return os << "(" << p.first << ", " << p.second << ")"; } template ostream& operator<<(ostream& os, const vector& v) { os << "{"; for (int i = 0; i < int(v.size()); i++) { if (i) os << ", "; os << v[i]; } return os << "}"; } template inline int SZ(Container& v) { return int(v.size()); } template inline void UNIQUE(vector& v) { v.erase(unique(v.begin(), v.end()), v.end()); } template inline bool chmax(T1& a, T2 b) { if (a < b) {a = b; return true ;} return false ;} template inline bool chmin(T1& a, T2 b) { if (a > b) {a = b; return true ;} return false ;} inline int topbit(ull x) { return x == 0 ? -1 : 63 - __builtin_clzll(x); } inline int botbit(ull x) { return x == 0 ? 64 : __builtin_ctzll(x); } inline int popcount(ull x) { return __builtin_popcountll(x); } inline int kthbit(ull x, int k) { return (x>>k) & 1; } inline constexpr long long TEN(int x) { return x == 0 ? 1 : TEN(x-1) * 10; } inline void print() { cout << "\n"; } template inline void print(const vector& v) { for (int i = 0; i < int(v.size()); i++) { if (i) cout << " "; cout << v[i]; } print(); } template inline void print(const T& x, const Args& ... args) { cout << x << " "; print(args...); } #ifdef MINATO_LOCAL inline void debug_out() { cerr << endl; } template inline void debug_out(const T& x, const Args& ... args) { cerr << " " << x; debug_out(args...); } #define debug(...) cerr << __LINE__ << " : [" << #__VA_ARGS__ << "] =", debug_out(__VA_ARGS__) #define dump(x) cerr << __LINE__ << " : " << #x << " = " << (x) << endl #else #define debug(...) (void(0)) #define dump(x) (void(0)) #endif struct fast_ios { fast_ios() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(20); }; } fast_ios_; //////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// int c2(int x) { return (x*2+1)*(x*2+1); } pii calc(int n) { int d = 0; while (c2(d+1) <= n) d++; n -= c2(d); int x = d, y = d; if (n==0) return pii(x,y); y++; int w = (d+1)*2; if (n <= w) { n--; x -= n; return pii(x,y); } n -= w; x -= w-1; y--; if (n <= w) { n--; y -= n; return pii(x,y); } n -= w; y -= w-1; x++; if (n <= w) { n--; x += n; return pii(x,y); } n -= w; x += w-1; y += n; return pii(x,y); } vector solve(int n, bool flag) { vector ret; auto[tx,ty] = calc(n); int sx = 0, sy = 0; if (flag) { if (n&1) { ret.emplace_back(0,0); ret.emplace_back(0,1); ret.emplace_back(-1,1); sx = -1, sy = 1; } else { rep(_,2) { ret.emplace_back(0,0); ret.emplace_back(0,1); } sx = 0, sy = 1; } } else { if (~n&1) { ret.emplace_back(0,1); ret.emplace_back(0,0); ret.emplace_back(0,1); ret.emplace_back(-1,1); ret.emplace_back(0,1); sx = 0, sy = 1; } } while (true) { if (sx==tx and sy==ty) break; if (sx==tx) { if (sy < ty) { ret.emplace_back(sx,sy+1); ret.emplace_back(sx,sy+2); ret.emplace_back(sx,sy+1); ret.emplace_back(sx,sy+2); sy += 2; } else { ret.emplace_back(sx,sy-1); ret.emplace_back(sx,sy-2); ret.emplace_back(sx,sy-1); ret.emplace_back(sx,sy-2); sy -= 2; } } else if (sy==ty) { if (sx < tx) { ret.emplace_back(sx+1,sy); ret.emplace_back(sx+2,sy); ret.emplace_back(sx+1,sy); ret.emplace_back(sx+2,sy); sx += 2; } else { ret.emplace_back(sx-1,sy); ret.emplace_back(sx-2,sy); ret.emplace_back(sx-1,sy); ret.emplace_back(sx-2,sy); sx -= 2; } } else { int dx = sx < tx ? 1 : -1; int dy = sy < ty ? 1 : -1; rep(_,2) { ret.emplace_back(sx+dx,sy); ret.emplace_back(sx+dx,sy+dy); } sx += dx; sy += dy; } } return ret; } int main() { int S,T; cin >> S >> T; auto A = solve(S,true); auto B = solve(T,false); reverse(all(A)); copy(all(B),back_inserter(A)); cout << 0 << ln; cout << SZ(A)-1 << ln; rep(i,SZ(A)-1) { auto [x,y] = A[i]; auto [nx,ny] = A[i+1]; if (x < nx) cout << "D"; if (x > nx) cout << "U"; if (y < ny) cout << "R"; if (y > ny) cout << "L"; } cout << ln; }