This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma GCC optimize("Ofast,unroll-loops")
#pragma GCC target("avx,avx2,sse,sse2")
#include<bits/stdc++.h>
#define all(x) begin(x), end(x)
using namespace std;
using ll = long long;
vector<vector<int>> g;
string solve(string s) {
g.assign(s.size(), {});
vector<int> z[2];
auto check = [&](string s) {
int ok = 1, a = 0, b = 0, c = count(all(s), '('), d = count(all(s), ')');
for(auto i : s) {
if(i == ')') swap(a, b), swap(c, d);
a++, c--;
if(i == ')') swap(a, b), swap(c, d);
ok &= b <= 2*a;
ok &= c <= 2*d;
}
return ok;
};
if(!check(s)) return "impossible";
for(auto &i : s) {
int pos = &i-&s[0];
if(i == '(') {
z[0].push_back(pos);
} else {
if(z[0].empty()) {
if(z[1].empty()) return "wimpossible";
g[pos].push_back(z[1].back());
g[z[1].back()].push_back(pos);
z[1].pop_back();
} else {
g[pos].push_back(z[0].back());
g[z[0].back()].push_back(pos);
z[1].push_back(z[0].back());
z[0].pop_back();
}
}/*
cout << pos << ": ";
for(auto i : z[0]) cout << i << " "; cout << " | ";
for(auto i : z[1]) cout << i << " "; cout << endl;*/
}
reverse(all(s));
z[0].clear();
for(auto &i : s) {
int pos = &i-&s[0];
pos = s.size()-1-pos;
if(i == ')') {
if(g[pos].size() < 2) z[0].push_back(pos);
} else if(g[pos].empty()) {
if(z[0].empty()) return "wimpossible";
g[pos].push_back(z[0].back());
g[z[0].back()].push_back(pos);
z[0].pop_back();
}
}
reverse(all(s));
vector<int> col(s.size());
for(int i = 0; i < s.size(); i++) {
if(g[i].size() == 2) {
int c = 1;
for(auto v : g[i]) col[v] = c++;
}
}
s = "";
for(auto i : col) {
if(i == 0) s += "G";
if(i == 1) s += "B";
if(i == 2) s += "R";
}
return s;
}
int main() {
cin.tie(0)->sync_with_stdio(0);
int t, x;
string s;
cin >> t;
if(t == 1) {
cin >> t;
while(t--) {
cin >> s;
cout << solve(s) << '\n';
}
} else {
//calc();
cin >> t;
//while(t--) cin >> x, cout << dp[x][0][0] << endl;
}
}
Compilation message (stderr)
parentrises.cpp: In function 'std::string solve(std::string)':
parentrises.cpp:60:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
60 | for(int i = 0; i < s.size(); i++) {
| ~~^~~~~~~~~~
parentrises.cpp: In function 'int main()':
parentrises.cpp:76:9: warning: unused variable 'x' [-Wunused-variable]
76 | int t, x;
| ^
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