#include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using ll = long long; class range {private: struct I{int x;int operator*(){return x;}bool operator!=(I& lhs){return x ostream& operator<<(ostream& os, const pair& p){ return os << "{" << p.first << ", " << p.second << "}"; } template ostream& operator<<(ostream& os, const vector& obj) { os << "{"; for (const auto& e : obj) os << e << ", "; return os << "}"; } template ostream& operator<<(ostream& os, const set& obj) { os << "set{"; for (const auto& e : obj) os << e << ", "; return os << "}"; } template ostream& operator<<(ostream& os, const map& obj) { os << "map{"; for (const auto& e : obj) os << e << ", "; return os << "}"; } template void take(vector& vec, int n) { vec.resize(n); for (int i = 0; i < n; ++i) cin >> vec[i]; } #ifdef ONLINE_JUDGE #define dump(expr) ; #else #define dump(expr) { cerr << "\033[33m#L" << __LINE__ << ": " << expr << "\033[39m" << endl; } #endif namespace solver { template struct In2 { T1 a; T2 b; friend std::istream& operator>>(std::istream& is, In2& obj) { T1 t1; T2 t2; is >> t1 >> t2; obj = {t1, t2}; return is; } }; template struct In3 { T1 a; T2 b; T3 c; friend std::istream& operator>>(std::istream& is, In3& obj) { T1 t1; T2 t2; T3 t3; is >> t1 >> t2 >> t3; obj = {t1, t2, t3}; return is; } }; int n, K; vector vp; vector va; string s; void read() { cin >> n >> K; take(vp, 9); take(va, n); cin >> s; } using RetType = string; RetType run() { // 0 1 2 // 3 4 5 // 6 7 8 ll V = vp[0] * vp[4] * vp[8]; V += vp[1] * vp[5] * vp[6]; V += vp[2] * vp[3] * vp[7]; V -= vp[0] * vp[5] * vp[7]; V -= vp[1] * vp[3] * vp[8]; V -= vp[2] * vp[4] * vp[6]; V = llabs(V); if (V == 0) return "D"; int M = 606; vector dp(M); for (int i : range(M)) if (i % 6 == 0) { dp[i] = (i / 6 >= K) ? +1 : -1; } dump(dp); for (int k = n - 1; k >= 0; --k) { vector next(M); for (int i = 0; i < M; ++i) { int a = va[k] + 1; if (s[k] == 'K') { next[i] = max(dp[i], dp[i * a % M]); } else { next[i] = min(dp[i], dp[i * a % M]); } } dp.swap(next); dump(dp); } V = V % M; dump(V); if (dp[V] == +1) return "K"; if (dp[V] == -1) return "P"; return "D"; } } // namespace template void run(F f) { if constexpr (std::is_same_v) f(); else cout << f() << endl; } int main(int argc, char** argv) { cerr << fixed << setprecision(12); cout << fixed << setprecision(12); int testcase; cin >> testcase; while (testcase--) { solver::read(); run(solver::run); } }