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 ("O3")
#pragma GCC target ("sse4")
#include <bits/stdc++.h>
using namespace std;
using ii = pair<int,int>;
using ll = long long;
const int N = 1e5+5;
const int mod = 1e9 + 7;
int dp[505][505], n;
string str;
int solve(int l, int r){
if( l > r )
return 1;
int &ret = dp[l][r];
if(~ret)
return ret;
ret = 0;
for(int i = r; i > l; --i)
if(str[i] == str[l] && solve(l+1,i-1) && solve(i+1,r)){
return ret = 1;
}
return ret;
}
void trace(int l, int r){
if(l > r)return;
for(int i = r; i > l; --i){
if(str[i] == str[l] && solve(l+1,i-1) && solve(i+1,r)){
cout << "(";
trace(l+1,i-1);
cout << ")";
trace(i+1,r);
return;
}
}
assert(false);
}
int main(){
#ifdef ONLINE_JUDGE
ios_base::sync_with_stdio(0);
cin.tie(0);
#endif // ONLINE_JUDGE
cin >> str; n = str.size();
if(n & 1)return puts("-1");
memset(dp,-1,sizeof dp);
if(!solve(0,n-1)){
cout << -1 << '\n';
} else {
trace(0,n-1);
}
return 0;
}
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