#include <bits/stdc++.h>
#pragma GCC optimize("O3")
using namespace std;
typedef pair<int,int> pii;
typedef long long ll;
const int baza=29,invbaza=758620695;
const int mod=1e9+7;
int n;
string s,sol;
vector<char> st;
vector<vector<int>> mypoz[2][27];
map<int,int> nrm;
int nxt[100005];
int sum[100005];
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(0);
cin>>s;
n=s.size();
s=" "+s;
if(n%2==1)
{
cout<<-1;
return 0;
}
int nr=1;
ll h=0;
nrm[h]=1;
sum[0]=1;
for(int i=1;i<=n;i++)
{
if(!st.empty()&&st.back()==s[i])
{
st.pop_back();
h-=(s[i]-'a'+1);
h=(1LL*h*invbaza)%mod;
}
else
{
h=((1LL*h*baza)+s[i]-'a'+1)%mod;
st.push_back(s[i]);
}
if(nrm[h]==0)
{
nr++;
nrm[h]=nr;
}
sum[i]=nrm[h];
}
for(int i=1;i<=26;i++)
for(int j=0;j<=1;j++)
mypoz[j][i].resize(nr+1);
if(!st.empty())
{
cout<<-1;
return 0;
}
for(int i=1;i<=n;i++)
{
if(!st.empty()&&st.back()==s[i])
{
st.pop_back();
h-=(s[i]-'a'+1);
h=(1LL*h*invbaza)%mod;
}
else
{
h=((1LL*h*baza)+s[i]-'a'+1)%mod;
st.push_back(s[i]);
}
if(nrm[h]==0)
{
nr++;
nrm[h]=nr;
}
sum[i]=nrm[h];
mypoz[i%2][s[i]-'a'+1][sum[i]].push_back(i);
}
vector<int> last;
sol.resize(n+1);
for(int i=1;i<=n;i++)
{
if(sol[i]!=')')
{
sol[i]='(';
int maxpoz=n+1;
if(!last.empty())
maxpoz=last.back();
int par=1-i%2;
int lit=s[i]-'a'+1;
int lft=0;
int rgt=mypoz[par][lit][sum[i-1]].size();
rgt--;
int poz=0;
while(lft<=rgt)
{
int mij=(lft+rgt)/2;
if(mypoz[par][lit][sum[i-1]][mij]<maxpoz)
{
poz=mypoz[par][lit][sum[i-1]][mij];
lft=mij+1;
}
else
rgt=mij-1;
}
sol[poz]=')';
last.push_back(poz);
}
else
last.pop_back();
}
for(int i=1;i<=n;i++)
cout<<sol[i];
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
2 ms |
720 KB |
Output is correct |
5 |
Correct |
1 ms |
852 KB |
Output is correct |
6 |
Correct |
2 ms |
336 KB |
Output is correct |
7 |
Correct |
1 ms |
848 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
2 ms |
720 KB |
Output is correct |
5 |
Correct |
1 ms |
852 KB |
Output is correct |
6 |
Correct |
2 ms |
336 KB |
Output is correct |
7 |
Correct |
1 ms |
848 KB |
Output is correct |
8 |
Correct |
4 ms |
3028 KB |
Output is correct |
9 |
Correct |
6 ms |
3736 KB |
Output is correct |
10 |
Correct |
8 ms |
4572 KB |
Output is correct |
11 |
Correct |
8 ms |
4692 KB |
Output is correct |
12 |
Correct |
87 ms |
38976 KB |
Output is correct |
13 |
Correct |
86 ms |
42580 KB |
Output is correct |
14 |
Correct |
76 ms |
44460 KB |
Output is correct |
15 |
Correct |
11 ms |
2008 KB |
Output is correct |
16 |
Correct |
13 ms |
2000 KB |
Output is correct |
17 |
Correct |
65 ms |
29124 KB |
Output is correct |
18 |
Correct |
15 ms |
2128 KB |
Output is correct |
19 |
Correct |
103 ms |
56132 KB |
Output is correct |
20 |
Correct |
71 ms |
38936 KB |
Output is correct |
21 |
Correct |
115 ms |
54604 KB |
Output is correct |