#include<bits/stdc++.h>
using namespace std;
#define int long long
int inf=1e18;
int cost(int last, int mask, vector<int>& group, int n){
vector<int> prefix(n+1);
vector<int> suffix(n+1);
for(int i=0; i<n; i++){
prefix[i+1]=prefix[i];
if(group[i]==last){
prefix[i+1]+=1;
}
else if((mask>>group[i])%2==1){
prefix[i+1]+=2;
}
}
for(int i=n-1; i>=0; i--){
suffix[i]=suffix[i+1];
if(group[i]==last){
suffix[i]+=1;
}
else if((mask>>group[i])%2==1){
suffix[i]+=2;
}
}
int ans=0;
for(int i=0; i<n; i++){
if(group[i]!=last) continue;
ans+=min(prefix[i], suffix[i+1]);
//cout << i << " " << prefix[i] << " " << suffix[i+1] << " " << ans << "\n";
}
//cout << ans << "\n";
return ans;
}
signed main(){
ios_base::sync_with_stdio(false);
cin.tie(0);
string s;
cin >> s;
set<int> b;
int n=s.size();
vector<int> group(n);
for(int i=0; i<n; i++){
b.insert(s[i]);
}
int g=b.size();
int ind=0;
map<int,int> num;
for(auto e: b){
num[e]=ind;
ind++;
}
for(int i=0; i<n; i++){
group[i]=num[s[i]];
}
vector<int> dp((1<<g), inf);
dp[0]=0;
//cout << n << " " << g << "<n";
for(int i=1; i<(1<<g); i++){
for(int last=0; last<g; last++){
if((i>>last)%2==0) continue;
//cout << dp[i] << " " << dp[i-(1<<last)] << " " << cost(last, i, group, n) << "\n";
dp[i]=min(dp[i], dp[i-(1<<last)]+cost(last, i, group, n));
}
}
double ans=(double)(dp[(1<<g)-1])/2;
//cout << "hallo\n";
//cout << dp[(1<<g)-1] << " " << dp[1] << " " << cost(0, 1, group, n) << "\n";
cout.precision(100);
cout << ans << "\n";
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
2 ms |
2260 KB |
Output is correct |
7 |
Correct |
3 ms |
2644 KB |
Output is correct |
8 |
Correct |
3 ms |
2900 KB |
Output is correct |
9 |
Correct |
3 ms |
2900 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
0 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
1 ms |
212 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
1 ms |
212 KB |
Output is correct |
27 |
Correct |
1 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
1 ms |
212 KB |
Output is correct |
31 |
Correct |
1 ms |
212 KB |
Output is correct |
32 |
Correct |
1 ms |
212 KB |
Output is correct |
33 |
Correct |
1 ms |
212 KB |
Output is correct |
34 |
Correct |
1 ms |
212 KB |
Output is correct |
35 |
Correct |
1 ms |
468 KB |
Output is correct |
36 |
Correct |
1 ms |
468 KB |
Output is correct |
37 |
Correct |
736 ms |
828 KB |
Output is correct |
38 |
Correct |
414 ms |
644 KB |
Output is correct |
39 |
Correct |
372 ms |
592 KB |
Output is correct |
40 |
Correct |
393 ms |
720 KB |
Output is correct |
41 |
Correct |
422 ms |
576 KB |
Output is correct |
42 |
Correct |
431 ms |
668 KB |
Output is correct |
43 |
Correct |
471 ms |
572 KB |
Output is correct |
44 |
Correct |
401 ms |
612 KB |
Output is correct |
45 |
Correct |
433 ms |
580 KB |
Output is correct |
46 |
Correct |
417 ms |
668 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
2 ms |
2260 KB |
Output is correct |
7 |
Correct |
3 ms |
2644 KB |
Output is correct |
8 |
Correct |
3 ms |
2900 KB |
Output is correct |
9 |
Correct |
3 ms |
2900 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
1 ms |
212 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
1 ms |
212 KB |
Output is correct |
27 |
Correct |
0 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
1 ms |
212 KB |
Output is correct |
31 |
Correct |
1 ms |
212 KB |
Output is correct |
32 |
Correct |
1 ms |
212 KB |
Output is correct |
33 |
Correct |
1 ms |
212 KB |
Output is correct |
34 |
Correct |
1 ms |
212 KB |
Output is correct |
35 |
Correct |
1 ms |
212 KB |
Output is correct |
36 |
Correct |
1 ms |
212 KB |
Output is correct |
37 |
Correct |
1 ms |
212 KB |
Output is correct |
38 |
Correct |
1 ms |
212 KB |
Output is correct |
39 |
Correct |
1 ms |
212 KB |
Output is correct |
40 |
Correct |
1 ms |
212 KB |
Output is correct |
41 |
Correct |
1 ms |
212 KB |
Output is correct |
42 |
Correct |
1 ms |
212 KB |
Output is correct |
43 |
Correct |
1 ms |
212 KB |
Output is correct |
44 |
Correct |
1 ms |
468 KB |
Output is correct |
45 |
Correct |
1 ms |
468 KB |
Output is correct |
46 |
Correct |
736 ms |
828 KB |
Output is correct |
47 |
Correct |
414 ms |
644 KB |
Output is correct |
48 |
Correct |
372 ms |
592 KB |
Output is correct |
49 |
Correct |
393 ms |
720 KB |
Output is correct |
50 |
Correct |
422 ms |
576 KB |
Output is correct |
51 |
Correct |
431 ms |
668 KB |
Output is correct |
52 |
Correct |
471 ms |
572 KB |
Output is correct |
53 |
Correct |
401 ms |
612 KB |
Output is correct |
54 |
Correct |
433 ms |
580 KB |
Output is correct |
55 |
Correct |
417 ms |
668 KB |
Output is correct |
56 |
Correct |
0 ms |
212 KB |
Output is correct |
57 |
Correct |
84 ms |
468 KB |
Output is correct |
58 |
Correct |
1 ms |
212 KB |
Output is correct |
59 |
Correct |
0 ms |
212 KB |
Output is correct |
60 |
Correct |
0 ms |
212 KB |
Output is correct |
61 |
Correct |
0 ms |
212 KB |
Output is correct |
62 |
Correct |
0 ms |
340 KB |
Output is correct |
63 |
Correct |
2 ms |
2260 KB |
Output is correct |
64 |
Correct |
4 ms |
2644 KB |
Output is correct |
65 |
Correct |
4 ms |
2900 KB |
Output is correct |
66 |
Correct |
3 ms |
2900 KB |
Output is correct |
67 |
Correct |
0 ms |
212 KB |
Output is correct |
68 |
Correct |
0 ms |
212 KB |
Output is correct |
69 |
Correct |
1 ms |
212 KB |
Output is correct |
70 |
Correct |
1 ms |
212 KB |
Output is correct |
71 |
Correct |
1 ms |
212 KB |
Output is correct |
72 |
Correct |
1 ms |
212 KB |
Output is correct |
73 |
Correct |
1 ms |
212 KB |
Output is correct |
74 |
Correct |
1 ms |
212 KB |
Output is correct |
75 |
Correct |
1 ms |
212 KB |
Output is correct |
76 |
Correct |
1 ms |
212 KB |
Output is correct |
77 |
Correct |
1 ms |
212 KB |
Output is correct |
78 |
Correct |
1 ms |
212 KB |
Output is correct |
79 |
Correct |
1 ms |
212 KB |
Output is correct |
80 |
Correct |
1 ms |
212 KB |
Output is correct |
81 |
Correct |
1 ms |
212 KB |
Output is correct |
82 |
Correct |
0 ms |
212 KB |
Output is correct |
83 |
Correct |
0 ms |
212 KB |
Output is correct |
84 |
Correct |
1 ms |
468 KB |
Output is correct |
85 |
Correct |
1 ms |
468 KB |
Output is correct |
86 |
Correct |
785 ms |
784 KB |
Output is correct |
87 |
Correct |
431 ms |
740 KB |
Output is correct |
88 |
Correct |
446 ms |
704 KB |
Output is correct |
89 |
Correct |
386 ms |
652 KB |
Output is correct |
90 |
Correct |
477 ms |
700 KB |
Output is correct |
91 |
Correct |
425 ms |
580 KB |
Output is correct |
92 |
Correct |
414 ms |
676 KB |
Output is correct |
93 |
Correct |
444 ms |
564 KB |
Output is correct |
94 |
Correct |
392 ms |
708 KB |
Output is correct |
95 |
Correct |
432 ms |
660 KB |
Output is correct |
96 |
Execution timed out |
2074 ms |
3644 KB |
Time limit exceeded |
97 |
Halted |
0 ms |
0 KB |
- |