#include using namespace std; using lint = long long; using pint = pair; using plint = pair; struct fast_ios { fast_ios(){ cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(20); }; } fast_ios_; #define ALL(x) (x).begin(), (x).end() #define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i=i##_begin_;i--) #define REP(i, n) FOR(i,0,n) #define IREP(i, n) IFOR(i,0,n) template void ndarray(vector& vec, const V& val, int len) { vec.assign(len, val); } template void ndarray(vector& vec, const V& val, int len, Args... args) { vec.resize(len), for_each(begin(vec), end(vec), [&](T& v) { ndarray(v, val, args...); }); } template bool chmax(T &m, const T q) { if (m < q) {m = q; return true;} else return false; } template bool chmin(T &m, const T q) { if (m > q) {m = q; return true;} else return false; } template pair operator+(const pair &l, const pair &r) { return make_pair(l.first + r.first, l.second + r.second); } template pair operator-(const pair &l, const pair &r) { return make_pair(l.first - r.first, l.second - r.second); } template vector srtunq(vector vec) { sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end()); return vec; } template istream &operator>>(istream &is, vector &vec) { for (auto &v : vec) is >> v; return is; } template ostream &operator<<(ostream &os, const vector &vec) { os << '['; for (auto v : vec) os << v << ','; os << ']'; return os; } #if __cplusplus >= 201703L template istream &operator>>(istream &is, tuple &tpl) { std::apply([&is](auto &&... args) { ((is >> args), ...);}, tpl); return is; } template ostream &operator<<(ostream &os, const tuple &tpl) { std::apply([&os](auto &&... args) { ((os << args << ','), ...);}, tpl); return os; } #endif template ostream &operator<<(ostream &os, const deque &vec) { os << "deq["; for (auto v : vec) os << v << ','; os << ']'; return os; } template ostream &operator<<(ostream &os, const set &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template ostream &operator<<(ostream &os, const unordered_set &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template ostream &operator<<(ostream &os, const multiset &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template ostream &operator<<(ostream &os, const unordered_multiset &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template ostream &operator<<(ostream &os, const pair &pa) { os << '(' << pa.first << ',' << pa.second << ')'; return os; } template ostream &operator<<(ostream &os, const map &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; } template ostream &operator<<(ostream &os, const unordered_map &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; } #ifdef HITONANODE_LOCAL #define dbg(x) cerr << #x << " = " << (x) << " (L" << __LINE__ << ") " << __FILE__ << endl #else #define dbg(x) {} #endif vector A(3), D(3); vector ret, tmp; const double s2 = 1.0 / sqrt(2.0); void rot(double &x, double &y) { double t = (x + y) * s2; y = (x - y) * s2; x = t; } void dfs(vector V, int prv = -1) { if (tmp.size() > 8) return; if (ret.size() and ret.size() > tmp.size()) return; double ma = 0.0; REP(d, 3) chmax(ma, abs(V[d] - D[d])); if (ma < 1e-5 and (ret.empty() or ret.size() > tmp.size())) { ret = tmp; return; } tmp.emplace_back(2, 0); if (prv != 5) { swap(V[0], V[1]); dfs(V, 5); swap(V[1], V[2]); dfs(V, 5); swap(V[0], V[1]); dfs(V, 5); swap(V[1], V[2]); dfs(V, 5); swap(V[0], V[1]); dfs(V, 5); swap(V[1], V[2]); } REP(d, 3) { rot(V[(d + 1) % 3], V[(d + 2) % 3]); tmp.back() = pint(1, d); dfs(V, d); rot(V[(d + 1) % 3], V[(d + 2) % 3]); } tmp.pop_back(); } int main() { cin >> A >> D; dfs(A); if (ret.empty()) { puts("No"); return 0; } cout << "Yes\n"; for (auto [a, b] : ret) { if (a == 1) { cout << a << ' ' << (char)('A' + b) << '\n'; } else cout << 2 << '\n'; } }