This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/// oare cat de bine merge in practica?
#include <bits/stdc++.h>
using namespace std;
int s[100010] , sp[100010][30];
char sol[100010];
int ok;
int stk[100010];
int match (int st , int dr){
int i , elem = 0;
if (st > dr)
return 1;
for (i=0;i<'z' - 'a';i++){
if (((sp[dr][i] - sp[st-1][i]) & 1) == 1)
return 0;
}
for (i=st;i<=dr;i++){
if (elem && stk[elem] == s[i])
elem--;
else stk[++elem] = s[i];
}
return (elem == 0);
}
void solve (int st , int dr){
int i;
if (st > dr)
return;
if (!ok) /// nu mai are rost
return;
/// stii ca pe st pui ( , gaseste i match ul
for (i = ( ( (dr & 1) != (st & 1) ) ? dr : dr - 1); i >= st + 1 ; i-=2){
if (match(st + 1 , i - 1) && match(i + 1 , dr))
break;
}
if (i < st + 1){
ok = 0;
return;
}
else {
sol[st] = '(';
sol[i] = ')';
solve(st + 1 , i - 1);
solve (i + 1 , dr);
}
}
int main()
{
FILE *fin = stdin;
FILE *fout = stdout;
int n , i;
char c;
c=fgetc(fin);
n = 0;
while ( 'a' <= c && c <= 'z' ){
s[++n] = c-'a';
for (i=0;i<='z'-'a';i++){
sp[n][i] = sp[n-1][i] + (s[n] == i);
}
c=fgetc(fin);
}
ok = 1;
solve (1 , n);
if (ok == 0){
fprintf (fout,"%d\n",-1);
}
else {
for (i=1;i<=n;i++)
fputc(sol[i],fout);
}
return 0;
}
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