#include<bits/stdc++.h>
using namespace std;
typedef long double ld;
const int G=20;
const int N=1e5+5;
const int M=(1<<G)+5;
int n,g;
int a[N];
vector<int> pos[G];
ld dp[M],pref[N],suff[N];
int main(){
cin.tie(nullptr)->sync_with_stdio(false);
cout << fixed;
string s;
cin >> s;
n=s.size();
for(int i=1;i<=n;i++){
a[i]=s[i-1]-'A';
pos[a[i]].emplace_back(i);
g=max(g,a[i]+1);
}
for(int mask=1;mask<1<<g;mask++){
dp[mask]=DBL_MAX;
for(int bit=0;bit<g;bit++){
if(mask>>bit&1){
int mask2=1<<bit^mask;
int cnt=0;
for(int i=1;i<=n;i++){
pref[i]=pref[i-1];
if(a[i]==bit)pref[i]+=0.5l*cnt;
cnt+=mask>>a[i]&1;
}
cnt=0;
for(int i=n;i>=1;i--){
suff[i]=suff[i+1];
if(a[i]==bit)suff[i]+=0.5l*cnt;
cnt+=mask>>a[i]&1;
}
ld res=DBL_MAX;
for(int i=0;i<=n;i++)res=min(res,pref[i]+suff[i+1]);
dp[mask]=min(dp[mask],dp[mask2]+res);
}
}
}
cout << dp[(1<<g)-1];
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
340 KB |
found '100800.5000000000', expected '100800.5000000000', error '0.0000000000' |
2 |
Correct |
1 ms |
340 KB |
found '0.0000000000', expected '0.0000000000', error '-0.0000000000' |
3 |
Correct |
0 ms |
340 KB |
found '0.0000000000', expected '0.0000000000', error '-0.0000000000' |
4 |
Correct |
1 ms |
340 KB |
found '1.0000000000', expected '1.0000000000', error '0.0000000000' |
5 |
Correct |
0 ms |
340 KB |
found '124002.0000000000', expected '124002.0000000000', error '0.0000000000' |
6 |
Correct |
3 ms |
3668 KB |
found '772893586.0000000000', expected '772893586.0000000000', error '0.0000000000' |
7 |
Correct |
4 ms |
4308 KB |
found '1100977812.5000000000', expected '1100977812.5000000000', error '0.0000000000' |
8 |
Correct |
4 ms |
4604 KB |
found '1249950000.5000000000', expected '1249950000.5000000000', error '0.0000000000' |
9 |
Correct |
5 ms |
4496 KB |
found '1249975000.0000000000', expected '1249975000.0000000000', error '0.0000000000' |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
found '1.0000000000', expected '1.0000000000', error '0.0000000000' |
2 |
Correct |
1 ms |
340 KB |
found '1225.0000000000', expected '1225.0000000000', error '0.0000000000' |
3 |
Incorrect |
1 ms |
340 KB |
1st numbers differ - expected: '1023.0000000000', found: '597.5000000000', error = '0.4159335288' |
4 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
found '1.0000000000', expected '1.0000000000', error '0.0000000000' |
2 |
Correct |
1 ms |
340 KB |
found '1225.0000000000', expected '1225.0000000000', error '0.0000000000' |
3 |
Incorrect |
1 ms |
340 KB |
1st numbers differ - expected: '1023.0000000000', found: '597.5000000000', error = '0.4159335288' |
4 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
340 KB |
found '100800.5000000000', expected '100800.5000000000', error '0.0000000000' |
2 |
Correct |
1 ms |
340 KB |
found '0.0000000000', expected '0.0000000000', error '-0.0000000000' |
3 |
Correct |
0 ms |
340 KB |
found '0.0000000000', expected '0.0000000000', error '-0.0000000000' |
4 |
Correct |
1 ms |
340 KB |
found '1.0000000000', expected '1.0000000000', error '0.0000000000' |
5 |
Correct |
0 ms |
340 KB |
found '124002.0000000000', expected '124002.0000000000', error '0.0000000000' |
6 |
Correct |
3 ms |
3668 KB |
found '772893586.0000000000', expected '772893586.0000000000', error '0.0000000000' |
7 |
Correct |
4 ms |
4308 KB |
found '1100977812.5000000000', expected '1100977812.5000000000', error '0.0000000000' |
8 |
Correct |
4 ms |
4604 KB |
found '1249950000.5000000000', expected '1249950000.5000000000', error '0.0000000000' |
9 |
Correct |
5 ms |
4496 KB |
found '1249975000.0000000000', expected '1249975000.0000000000', error '0.0000000000' |
10 |
Correct |
1 ms |
340 KB |
found '1.0000000000', expected '1.0000000000', error '0.0000000000' |
11 |
Correct |
1 ms |
340 KB |
found '1225.0000000000', expected '1225.0000000000', error '0.0000000000' |
12 |
Incorrect |
1 ms |
340 KB |
1st numbers differ - expected: '1023.0000000000', found: '597.5000000000', error = '0.4159335288' |
13 |
Halted |
0 ms |
0 KB |
- |