#include <bits/stdc++.h>
#define pb push_back
#define ll long long
#define pii pair<int, int>
#define xx first
#define yy second
#define MAXN 1006
using namespace std;
int n, a[MAXN];
bool dp[MAXN][505][505];
int main(){
ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
//cout<<__builtin_popcount(4)<<endl;
int p; cin>>p;
if (p==1)
{
int t; cin>>t;
while (t--)
{
vector<char> ress;
string s; cin>>s;
n=s.size();
for (int i=0; i<n; i++) if (s[i]=='(') a[i]=1; else a[i]=-1;
for (int i=0; i<n; i++) for (int j=0; j<n; j++) for (int k=0; k<n; k++) dp[i][j][k]=0;
///prvi-R, G
///drugi-B, G
if (a[0]==-1) { cout<<"impossible"<<endl; continue; }
if (a[n-1]==1) { cout<<"impossible"<<endl; continue; }
dp[0][1][0]=1;
dp[0][1][1]=1;
dp[0][0][1]=1;
for (int i=1; i<n; i++)
{
for (int j=0; j<(n/2); j++)
{
for (int k=0; k<(n/2); k++)
{
//cout<<dp[i][j][k]<<" "<<a[i]<<endl;
///ako bojim u R
if (j-a[i]>=0 && j-a[i]<(n/2)) dp[i][j][k]=max(dp[i][j][k], dp[i-1][j-a[i]][k]);
///ako bojim u B
if (k-a[i]>=0 && k-a[i]<(n/2)) dp[i][j][k]=max(dp[i][j][k], dp[i-1][j][k-a[i]]);
///ako bojim u G
if (j-a[i]>=0 && j-a[i]<(n/2) && k-a[i]>=0 && k-a[i]<(n/2)) dp[i][j][k]=max(dp[i][j][k], dp[i-1][j-a[i]][k-a[i]]);
//cout<<i<<" "<<j<<" "<<k<<" "<<dp[i][j][k]<<endl;
}
}
}
if (dp[n-1][0][0]==0) { cout<<"impossible"<<endl; continue; }
int i=n-1, j=0, k=0;
while (i>=0)
{
if (i==0) { if (j==1 && k==1) ress.pb('G'); else if (j==1) ress.pb('R'); else ress.pb('B'); break; }
if (dp[i-1][j-a[i]][k]) { ress.pb('R'); j-=a[i]; }
else if (dp[i-1][j][k-a[i]]) { ress.pb('B'); k-=a[i]; }
else { ress.pb('G'); j-=a[i]; k-=a[i]; }
i--;
}
reverse(ress.begin(), ress.end());
for (int i=0; i<ress.size(); i++) cout<<ress[i];
cout<<endl;
}
}
}
/*
1
3
())(()
()(()
()))
*/
Compilation message
parentrises.cpp: In function 'int main()':
parentrises.cpp:74:28: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
74 | for (int i=0; i<ress.size(); i++) cout<<ress[i];
| ~^~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
460 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
3788 KB |
Output is correct |
2 |
Correct |
4 ms |
5588 KB |
Output is correct |
3 |
Correct |
1 ms |
588 KB |
Output is correct |
4 |
Correct |
2 ms |
1740 KB |
Output is correct |
5 |
Correct |
4 ms |
5580 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
3788 KB |
Output is correct |
2 |
Correct |
4 ms |
5588 KB |
Output is correct |
3 |
Correct |
1 ms |
588 KB |
Output is correct |
4 |
Correct |
2 ms |
1740 KB |
Output is correct |
5 |
Correct |
4 ms |
5580 KB |
Output is correct |
6 |
Correct |
106 ms |
200092 KB |
Output is correct |
7 |
Execution timed out |
1084 ms |
250020 KB |
Time limit exceeded |
8 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
3788 KB |
Output is correct |
2 |
Correct |
4 ms |
5588 KB |
Output is correct |
3 |
Correct |
1 ms |
588 KB |
Output is correct |
4 |
Correct |
2 ms |
1740 KB |
Output is correct |
5 |
Correct |
4 ms |
5580 KB |
Output is correct |
6 |
Correct |
106 ms |
200092 KB |
Output is correct |
7 |
Execution timed out |
1084 ms |
250020 KB |
Time limit exceeded |
8 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
1 ms |
204 KB |
Unexpected end of file - int32 expected |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
1 ms |
204 KB |
Unexpected end of file - int32 expected |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
1 ms |
204 KB |
Unexpected end of file - int32 expected |