#include #include #include using namespace std; #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) constexpr int MD = 101; constexpr int MD6 = MD * 6; char solve() { int N, K; cin >> N >> K; vector mat(3, vector(3)); vector A(N); string S; for (auto &vec : mat) { for (auto &x : vec) cin >> x; } for (auto &a : A) cin >> a; cin >> S; long long det = 0; REP(i, 3) { det += mat[0][i] * mat[1][(i + 1) % 3] * mat[2][(i + 2) % 3]; det -= mat[0][i] * mat[1][(i + 2) % 3] * mat[2][(i + 1) % 3]; } if (det == 0) return 'D'; det = (max(det, -det) % MD6 + MD6) % MD6; string dp(MD6, 'D'); REP(m, dp.size()) { if (m % 6) continue; dp.at(m) = ((m / 6) % MD >= K) ? 'K' : 'P'; } IREP(i, A.size()) { const char c = S.at(i); auto dpprv = dp; REP(m, dp.size()) { const int nxtm = m * (A.at(i) + 1) % MD6; if (dp.at(nxtm) == c) dpprv.at(m) = c; if (dp.at(nxtm) == 'D' and dpprv.at(m) != c) dpprv.at(m) = 'D'; } dp = dpprv; } return dp.at(det); } int main() { cin.tie(nullptr)->sync_with_stdio(false); int T; cin >> T; while (T--) cout << solve() << '\n'; }