#include #include #include #include #include #include #include using namespace std; bool solve(string s) { int n = s.size(); int W = count(s.begin(), s.end(), 'W'); int G = count(s.begin(), s.end(), 'G'); int R = count(s.begin(), s.end(), 'R'); if (W == 0 || G == 0 || R == 0 || G != R || W < R || s[0] != 'W' || s[n - 1] != 'R') { return false; } int cnt = 0; int last_w = 0; int last_g = 0; for (int i = 0; i < n; ++i) { if (s[i] == 'W') { ++cnt; if (cnt > R) { s[i] = 0; } last_w = i; } if (s[i] == 'G') { last_g = i; } } if (last_g < last_w) { return false; } s.erase(remove(s.begin(), s.end(), 0), s.end()); n = s.size(); W = R; assert(W + G + R == n); vector used(n); int r = n - 1; int g = n - 1; int w = n - 1; while(r >= 0){ while (r >= 0 && (used[r] || s[r] != 'R')) --r; g = min(g - 1, r - 1); while (g >= 0 && (used[g] || s[g] != 'G')) --g; w = min(w - 1, g - 1); while (w >= 0 && (used[w] || s[w] != 'W')) --w; if (r < 0 || g < 0 || w < 0 || used[r] || used[g] || used[w]) { break; } used[r] = used[g] = used[w] = true; } cnt = count(used.begin(), used.end(), true); if (cnt != n) { return false; } return true; } int main() { int t; cin >> t; for (int i = 0; i < t; ++i) { string s; cin >> s; puts(solve(s) ? "possible" : "impossible"); } }