This documentation is automatically generated by online-judge-tools/verification-helper
#define PROBLEM "https://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=2703"
#include "icpc/template.hpp"
#include "icpc/dice.hpp"
void solve(int N) {
vector paint(N, map<pair<int, int>, int>());
REP(i, N) {
int cx, cy;
cin >> cx >> cy;
vector<long long> num(6);
REP(j, 6) cin >> num[j];
string rot;
cin >> rot;
Dice dice(num);
paint[i][{cx, cy}] = dice.d[4];
for (auto c : rot) {
if (c == 'L') {
dice.xm();
cx--;
}
if (c == 'R') {
dice.xp();
cx++;
}
if (c == 'F') {
dice.ym();
cy--;
}
if (c == 'B') {
dice.yp();
cy++;
}
paint[i][{cx, cy}] = dice.d[4];
}
}
int N2 = 1 << N;
vector dp(N2, 0);
vector points(N2, set<pair<int,int>>());
REP(bit, N2) {
REP(i, N) {
if (bit >> i & 1) {
for (auto &[p, sc] : paint[i]) {
auto [x, y] = p;
points[bit].insert({x, y});
}
}
}
}
REP(bit, N2) {
REP(i, N) {
if (bit >> i & 1) continue;
int nx = 0;
for (auto &[p, sc] : paint[i]) {
auto [x, y] = p;
if (points[bit].count({x, y}) == 0) {
nx += sc;
}
}
dp[bit | (1 << i)] = max(dp[bit | (1 << i)], dp[bit] + nx);
}
}
int ans = 0;
REP(bit, N2) ans = max(ans, dp[bit]);
cout << ans << endl;
}
int main() {
int N;
while (cin >> N, !(N == 0)) solve(N);
return 0;
}
#line 1 "verify/aoj_other/aoj_2703.test.cpp"
#define PROBLEM "https://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=2703"
#line 2 "icpc/template.hpp"
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define REP(i, n) for (int i = 0; i < (n); i++)
template <class T> using V = vector<T>;
template <class T> ostream& operator<<(ostream& os, const V<T>& v) {
os << "[ ";
for (auto& vi : v) os << vi << ", ";
return os << "]";
}
#ifdef LOCAL
#define show(x) cerr << __LINE__ << " : " << #x << " = " << x << endl;
#else
#define show(x) true
#endif
using uint = unsigned int;
using ull = unsigned long long;
// g++ -g -fsanitize=undefined,address -DLOCAL -std=gnu++17
#line 2 "icpc/dice.hpp"
#line 4 "icpc/dice.hpp"
// https://onlinejudge.u-aizu.ac.jp/problems/2703
// d = {x-, x+, y-, y+, z-, z+}
// d = {0, 1, 2, 3, 4, 5}
struct Dice {
vector<long long> d;
Dice(vector<long long> &d) : d(d) {}
void right() { d = {d[2], d[3], d[1], d[0], d[4], d[5]}; }
void left() { REP(i, 3) right(); }
void xm() { d = {d[5], d[4], d[2], d[3], d[0], d[1]}; }
void xp() { REP(i, 3) xm(); }
void ym() { d = {d[0], d[1], d[5], d[4], d[2], d[3]}; }
void yp() { REP(i, 3) ym(); }
};
#line 5 "verify/aoj_other/aoj_2703.test.cpp"
void solve(int N) {
vector paint(N, map<pair<int, int>, int>());
REP(i, N) {
int cx, cy;
cin >> cx >> cy;
vector<long long> num(6);
REP(j, 6) cin >> num[j];
string rot;
cin >> rot;
Dice dice(num);
paint[i][{cx, cy}] = dice.d[4];
for (auto c : rot) {
if (c == 'L') {
dice.xm();
cx--;
}
if (c == 'R') {
dice.xp();
cx++;
}
if (c == 'F') {
dice.ym();
cy--;
}
if (c == 'B') {
dice.yp();
cy++;
}
paint[i][{cx, cy}] = dice.d[4];
}
}
int N2 = 1 << N;
vector dp(N2, 0);
vector points(N2, set<pair<int,int>>());
REP(bit, N2) {
REP(i, N) {
if (bit >> i & 1) {
for (auto &[p, sc] : paint[i]) {
auto [x, y] = p;
points[bit].insert({x, y});
}
}
}
}
REP(bit, N2) {
REP(i, N) {
if (bit >> i & 1) continue;
int nx = 0;
for (auto &[p, sc] : paint[i]) {
auto [x, y] = p;
if (points[bit].count({x, y}) == 0) {
nx += sc;
}
}
dp[bit | (1 << i)] = max(dp[bit | (1 << i)], dp[bit] + nx);
}
}
int ans = 0;
REP(bit, N2) ans = max(ans, dp[bit]);
cout << ans << endl;
}
int main() {
int N;
while (cin >> N, !(N == 0)) solve(N);
return 0;
}