#include #include #include #include #include #include #include #include #include #define debug_value(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << #x << "=" << x << endl; #define debug(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << x << endl; template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } using namespace std; typedef long long ll; struct point{ ll x, y; }; const double eps = 0.01; void validate(string s); ll right_up(ll k){ return (2*k-1)*(2*k-1)+(2*k); } ll left_up(ll k){ return (2*k)*(2*k)+1; } ll left_bottom(ll k){ return (2*k)*(2*k)+2*k+1; } ll right_bottom(ll k){ return (2*k+1)*(2*k+1); } ll sqrt_ll(ll n){ ll ans = (ll)(sqrt(n)+eps); if(ans*ans > n) ans--; return ans; } ll to_cycle(ll n){ ll s = sqrt_ll(n); if(s%2 == 0) s--; if(s*s == n){ return (s+1)/2-1; } return (s+3)/2-1; } point to_cood(ll n){ ll k = to_cycle(n); ll x = -1, y = -1; if(n <= right_up(k)){ x = k, y = k-(right_up(k)-n); }else if(n <= left_up(k)){ x = -k+(left_up(k)-n), y = k; }else if(n <= left_bottom(k)){ x = -k, y = -k+(left_bottom(k)-n); }else{ x = k-(right_bottom(k)-n), y = -k; } return (point){x, y}; } ll to_number(point p){ ll k = max(abs(p.x), abs(p.y)); if(p.x == k){ return right_up(k)-(k-p.y); }else if(p.y == k){ return left_up(k)-(p.x+k); }else if(p.x == -k){ return left_bottom(k)-(p.y+k); }else{ return right_bottom(k)-(k-p.x); } } ll dist(point p1, point p2){ return abs(p1.x-p2.x)+abs(p1.y-p2.y); } ll s, t; ll x, y; ll sx, sy, tx, ty; vector vx, vy; void go_up(){ y++; vx.push_back(x); vy.push_back(y); } void go_down(){ y--; vx.push_back(x); vy.push_back(y); } void go_left(){ x--; vx.push_back(x); vy.push_back(y); } void go_right(){ x++; vx.push_back(x); vy.push_back(y); } void solve_odd(){ while(x != tx){ if(x < tx) go_right(); else go_left(); } while(y != ty){ if(y < ty) go_up(); else go_down(); } ll sz = vx.size(); string ans; for(ll i = 0; i < sz-1; i++){ if(i%2 == 0){ if(vx[i+1] == vx[i]+1) ans += "RLR"; if(vx[i+1] == vx[i]-1) ans += "LRL"; if(vy[i+1] == vy[i]+1) ans += "UDU"; if(vy[i+1] == vy[i]-1) ans += "DUD"; }else{ if(vx[i+1] == vx[i]+1) ans += "R"; if(vx[i+1] == vx[i]-1) ans += "L"; if(vy[i+1] == vy[i]+1) ans += "U"; if(vy[i+1] == vy[i]-1) ans += "D"; } } assert(ans.size() <= 200000); cout << 0 << endl; cout << ans.size() << endl; cout << ans << endl; validate(ans); } void solve_even(){ ll u = s^t; auto pu = to_cood(u); ll ux = pu.x, uy = pu.y; while(x != ux){ if(x < ux) go_right(); else go_left(); } while(y != uy){ if(y < uy) go_up(); else go_down(); } while(x != tx){ if(x < tx) go_right(); else go_left(); } while(y != ty){ if(y < ty) go_up(); else go_down(); } ll sz = vx.size(); ll i = 0; string ans; for(ll j = 0; j < sz-1; j++){ if(i%2 == 1){ if(vx[j+1] == vx[j]+1) ans += "RLR"; if(vx[j+1] == vx[j]-1) ans += "LRL"; if(vy[j+1] == vy[j]+1) ans += "UDU"; if(vy[j+1] == vy[j]-1) ans += "DUD"; }else{ if(vx[j+1] == vx[j]+1) ans += "R"; if(vx[j+1] == vx[j]-1) ans += "L"; if(vy[j+1] == vy[j]+1) ans += "U"; if(vy[j+1] == vy[j]-1) ans += "D"; } if(vx[j+1] != ux || vy[j+1] != uy) i++; } assert(ans.size() <= 200000); cout << 0 << endl; cout << ans.size() << endl; cout << ans << endl; validate(ans); } void validate(string d){ auto ps = to_cood(s); int x = ps.x, y = ps.y; int ans = to_number((point){x, y}); for(char c : d){ if(c == 'U') y++; if(c == 'D') y--; if(c == 'L') x--; if(c == 'R') x++; ans ^= to_number((point){x, y}); } // assert(ans == 0); } int main(){ ios::sync_with_stdio(false); cin.tie(0); cout << setprecision(10) << fixed; cin >> s >> t; auto ps = to_cood(s); auto pt = to_cood(t); x = ps.x, y = ps.y; sx = ps.x, sy = ps.y; tx = pt.x, ty = pt.y; vx.push_back(sx); vy.push_back(sy); if(dist(ps, pt)%2 == 0){ solve_even(); }else{ solve_odd(); } }