This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
using namespace std;
#define rep(i,a,b) for(int i = a; i<int(b);++i)
#define all(v) v.begin(),v.end()
#define sz(v) v.size()
#define trav(a,c) for(auto a: c)
typedef long long ll;
typedef vector<ll> vi;
typedef pair<ll,ll> pii;
string getColoring(string s){
ll mx = s.size()+2;
vector<vector<vector<ll>>> color(mx,vector<vi>(mx,vi(mx,0)));
vector<vector<vector<bool>>> dp(mx,vector<vector<bool>>(mx,vector<bool>(mx,0)));
//dp[numLeft][rgLevel][bgLevel]
dp[0][0][0] = true;
rep(i,1,mx){
rep(rgLevel,0,mx-1)
rep(bgLevel,0,mx-1){
dp[i][rgLevel][bgLevel] = false;
if(s[i-1]=='('){
if(rgLevel>0&&dp[i-1][rgLevel-1][bgLevel]){
dp[i][rgLevel][bgLevel] = true;
color[i][rgLevel][bgLevel] = 0;
}
if(bgLevel>0&&dp[i-1][rgLevel][bgLevel-1]){
dp[i][rgLevel][bgLevel] = true;
color[i][rgLevel][bgLevel] = 2;
}
if(bgLevel>0&&rgLevel>0&&dp[i-1][rgLevel-1][bgLevel-1]){
dp[i][rgLevel][bgLevel] = true;
color[i][rgLevel][bgLevel] = 1;
}
} else {
if(dp[i-1][rgLevel+1][bgLevel]){
dp[i][rgLevel][bgLevel] = true;
color[i][rgLevel][bgLevel] = 0;
}
if(dp[i-1][rgLevel][bgLevel+1]){
dp[i][rgLevel][bgLevel] = true;
color[i][rgLevel][bgLevel] = 2;
}
if(dp[i-1][rgLevel+1][bgLevel+1]){
dp[i][rgLevel][bgLevel] = true;
color[i][rgLevel][bgLevel] = 1;
}
}
//cout<<i<<" "<<rgLevel<<" "<<bgLevel<<": "<<dp[i][rgLevel][bgLevel]<<endl;
}
}
if(!dp[s.size()][0][0]) return "";
string ans = s;
ll rg = 0;
ll bg = 0;
for(ll i = s.size();i>0;--i){
if(color[i][rg][bg]==0) {
ans[i-1] = 'R';
if(s[i-1]=='(') rg--;
else rg++;
}
if(color[i][rg][bg]==1) {
ans[i-1] = 'G';
if(s[i-1]=='(') bg--;
else bg++;
if(s[i-1]=='(') rg--;
else rg++;
}
if(color[i][rg][bg]==2) {
ans[i-1] = 'B';
if(s[i-1]=='(') bg--;
else bg++;
}
}
return ans;
}
void solve1(){
ll t; cin>>t;
while(t--){
string str;
cin>>str;
string ans = getColoring(str);
if(ans=="") cout<<"impossible"<<endl;
else cout<<ans<<endl;
}
}
void solve2(){
/*ll mx = 7;
ll mod = 1e9+7;
vector<vector<vi>> dp(mx,vector<vi>(mx,vi(mx,0)));
//dp[numLeft][rgLevel][bgLevel]
dp[0][0][0] = 1;
rep(i,1,mx){
rep(rgLevel,0,mx-1)
rep(bgLevel,0,mx-1){
dp[i][rgLevel][bgLevel] = 0;
bool bracketToLeft = false;
if(rgLevel>0&&dp[i-1][rgLevel-1][bgLevel]>) dp[i][rgLevel][bgLevel] += dp[i-1][rgLevel-1][bgLevel];
if(bgLevel>0) dp[i][rgLevel][bgLevel] += dp[i-1][rgLevel][bgLevel-1];
if(bgLevel>0&&rgLevel>0) dp[i][rgLevel][bgLevel] += dp[i-1][rgLevel-1][bgLevel-1];
dp[i][rgLevel][bgLevel] += dp[i-1][rgLevel+1][bgLevel];
dp[i][rgLevel][bgLevel] += dp[i-1][rgLevel][bgLevel+1];
dp[i][rgLevel][bgLevel] += dp[i-1][rgLevel+1][bgLevel+1];
dp[i][rgLevel][bgLevel] = dp[i][rgLevel][bgLevel]%mod;
cout<<i<<" "<<rgLevel<<" "<<bgLevel<<": "<<dp[i][rgLevel][bgLevel]<<endl;
}
}
ll t; cin>>t;
rep(i,0,t){
ll n; cin>>n;
cout<<dp[n][0][0]<<endl;
}*/
}
int main(){
cin.sync_with_stdio(false);
ll p; cin>>p;
if(p==2){
solve2();
}
if(p==1){
solve1();
}
}
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