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;
string str;
int dp[18][18];
bool go(int s, int e){
if(s>e){
return true;
}
if(dp[s][e]!=-1){
return dp[s][e]==1;
}
bool ret = false;
for(int i = s+1; i<=e; i++){
ret |= (str[s]==str[i]) && go(s+1,i-1)&&go(i+1,e);
}
if(ret){
dp[s][e] = 1;
}
else{
dp[s][e] = 0;
}
return ret;
}
string build(int s, int e){
if(s>e){
return "";
}
for(int i = e; i>=s+1; i--){
if(str[s]==str[i] && go(s+1,i-1) && go(i+1,e)){
string ret = "(" + build(s+1,i-1) + ")" + build(i+1,e);
return ret;
}
}
return "ERROR";
}
int main(){
cin >> str;
for(int a = 0; a<18; a++){
for(int b = 0; b<18; b++){
dp[a][b] = -1;
}
}
if(go(0,str.length()-1)){
cout << build(0,str.length()-1) << endl;
}
else{
cout << -1 << endl;
}
}
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