#include "bits/stdc++.h"
using namespace std;
#define ar array
typedef int64_t ll;
#define int ll
const int G = 15;
const int N = 1e5 + 5;
vector<int> gop[G];
int dp[1 << G];
int pref[G][G][N], cc[G][N];
int suff[G][G][N];
signed main(){
ios::sync_with_stdio(0); cin.tie(0);
string s; cin>>s;
int n = s.size(), g = 0;
for(int i=0;i<n;i++){
g = max(g, (ll)s[i] - 'A' + 1);
gop[s[i] - 'A'].push_back(i);
}
for(int i=0;i<n;i++){
if(i){
for(int j=0;j<g;j++) cc[j][i] = cc[j][i-1];
}
cc[s[i] - 'A'][i]++;
}
for(int a=0;a<g;a++){
gop[a].push_back(n);
gop[a].push_back(n);
for(int b=0;b<g;b++){
for(int i=0;i<n;i++){
if(i) pref[a][b][i] = pref[a][b][i - 1];
if(s[i] - 'A' == a){
pref[a][b][i] += cc[b][i] * 2;
}
}
for(int i=n-1;~i;i--){
suff[a][b][i] = suff[a][b][i + 1];
if(s[i] - 'A' == a){
suff[a][b][i] += (cc[b][n - 1] - cc[b][i]) * 2;
}
}
}
}
memset(dp, 63, sizeof dp);
dp[0] = 0;
for(int mask=0;mask < (1 << g);mask++){
//~ int b = __builtin_popcount(mask);
//~ if((mask >> b) == 0){
//~ for(int k=0;k<g;k++) cout<<(mask >> k & 1);
//~ cout<<" : "<<dp[mask]<<"\n";
//~ }
for(int j=0;j<g;j++){
if(mask >> j & 1) continue;
auto check = [&](int i){
int res = 0;
for(int k=0;k<g;k++){
if(mask >> k & 1){
if(i) res += pref[j][k][i - 1];
res += suff[j][k][i];
}
}
if(i){
int m = cc[j][i - 1];
if(m) res = res + m * (m - 1) / 2;
}
int m = cc[j][n - 1] - (i ? cc[j][i - 1] : 0);
if(m) res = res + m * (m - 1) / 2;
return res;
};
int l = 0, r = gop[j].size() - 1;
while(l + 1 < r - 1){
int m = (l + r) >> 1;
if(check(gop[j][m]) < check(gop[j][m + 1])) r = m + 1;
else l = m;
}
int res = min({check(gop[j][l]), check(gop[j][r]), check(gop[j][l + 1])});
//~ if((mask >> b) == 0){
//~ for(int k=0;k<(int)gop[j].size();k++){
//~ cout<<check(gop[j][k])<<" ";
//~ } cout<<"\n";
//~ cout<<res<<"\n";
//~ }
dp[mask | (1 << j)] = min(dp[mask | (1 << j)], dp[mask] + res);
}
}
int res = dp[(1 << g) - 1];
cout<<res/2;
if(res&1) cout<<".5";
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
596 KB |
Output is correct |
| 2 |
Correct |
1 ms |
596 KB |
Output is correct |
| 3 |
Correct |
1 ms |
468 KB |
Output is correct |
| 4 |
Correct |
1 ms |
596 KB |
Output is correct |
| 5 |
Correct |
1 ms |
596 KB |
Output is correct |
| 6 |
Correct |
4 ms |
3340 KB |
Output is correct |
| 7 |
Correct |
5 ms |
3852 KB |
Output is correct |
| 8 |
Correct |
5 ms |
4108 KB |
Output is correct |
| 9 |
Correct |
5 ms |
4096 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
596 KB |
Output is correct |
| 2 |
Correct |
1 ms |
724 KB |
Output is correct |
| 3 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 4 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 5 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 6 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 7 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 8 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 9 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 10 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 11 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 12 |
Correct |
2 ms |
1108 KB |
Output is correct |
| 13 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 14 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 15 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 16 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 17 |
Correct |
1 ms |
1108 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
596 KB |
Output is correct |
| 2 |
Correct |
1 ms |
724 KB |
Output is correct |
| 3 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 4 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 5 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 6 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 7 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 8 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 9 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 10 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 11 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 12 |
Correct |
2 ms |
1108 KB |
Output is correct |
| 13 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 14 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 15 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 16 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 17 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 18 |
Correct |
1 ms |
596 KB |
Output is correct |
| 19 |
Correct |
1 ms |
724 KB |
Output is correct |
| 20 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 21 |
Correct |
2 ms |
1236 KB |
Output is correct |
| 22 |
Correct |
2 ms |
1236 KB |
Output is correct |
| 23 |
Correct |
2 ms |
1108 KB |
Output is correct |
| 24 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 25 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 26 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 27 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 28 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 29 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 30 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 31 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 32 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 33 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 34 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 35 |
Correct |
12 ms |
12144 KB |
Output is correct |
| 36 |
Correct |
10 ms |
12244 KB |
Output is correct |
| 37 |
Correct |
18 ms |
18260 KB |
Output is correct |
| 38 |
Correct |
15 ms |
18228 KB |
Output is correct |
| 39 |
Correct |
16 ms |
18416 KB |
Output is correct |
| 40 |
Correct |
17 ms |
18132 KB |
Output is correct |
| 41 |
Correct |
21 ms |
17908 KB |
Output is correct |
| 42 |
Correct |
17 ms |
17876 KB |
Output is correct |
| 43 |
Correct |
17 ms |
17944 KB |
Output is correct |
| 44 |
Correct |
17 ms |
17876 KB |
Output is correct |
| 45 |
Correct |
18 ms |
17884 KB |
Output is correct |
| 46 |
Correct |
16 ms |
17988 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
596 KB |
Output is correct |
| 2 |
Correct |
1 ms |
596 KB |
Output is correct |
| 3 |
Correct |
1 ms |
468 KB |
Output is correct |
| 4 |
Correct |
1 ms |
596 KB |
Output is correct |
| 5 |
Correct |
1 ms |
596 KB |
Output is correct |
| 6 |
Correct |
4 ms |
3340 KB |
Output is correct |
| 7 |
Correct |
5 ms |
3852 KB |
Output is correct |
| 8 |
Correct |
5 ms |
4108 KB |
Output is correct |
| 9 |
Correct |
5 ms |
4096 KB |
Output is correct |
| 10 |
Correct |
1 ms |
596 KB |
Output is correct |
| 11 |
Correct |
1 ms |
724 KB |
Output is correct |
| 12 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 13 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 14 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 15 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 16 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 17 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 18 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 19 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 20 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 21 |
Correct |
2 ms |
1108 KB |
Output is correct |
| 22 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 23 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 24 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 25 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 26 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 27 |
Correct |
1 ms |
596 KB |
Output is correct |
| 28 |
Correct |
1 ms |
724 KB |
Output is correct |
| 29 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 30 |
Correct |
2 ms |
1236 KB |
Output is correct |
| 31 |
Correct |
2 ms |
1236 KB |
Output is correct |
| 32 |
Correct |
2 ms |
1108 KB |
Output is correct |
| 33 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 34 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 35 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 36 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 37 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 38 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 39 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 40 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 41 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 42 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 43 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 44 |
Correct |
12 ms |
12144 KB |
Output is correct |
| 45 |
Correct |
10 ms |
12244 KB |
Output is correct |
| 46 |
Correct |
18 ms |
18260 KB |
Output is correct |
| 47 |
Correct |
15 ms |
18228 KB |
Output is correct |
| 48 |
Correct |
16 ms |
18416 KB |
Output is correct |
| 49 |
Correct |
17 ms |
18132 KB |
Output is correct |
| 50 |
Correct |
21 ms |
17908 KB |
Output is correct |
| 51 |
Correct |
17 ms |
17876 KB |
Output is correct |
| 52 |
Correct |
17 ms |
17944 KB |
Output is correct |
| 53 |
Correct |
17 ms |
17876 KB |
Output is correct |
| 54 |
Correct |
18 ms |
17884 KB |
Output is correct |
| 55 |
Correct |
16 ms |
17988 KB |
Output is correct |
| 56 |
Correct |
56 ms |
3164 KB |
Output is correct |
| 57 |
Correct |
51 ms |
3156 KB |
Output is correct |
| 58 |
Correct |
1 ms |
596 KB |
Output is correct |
| 59 |
Correct |
0 ms |
468 KB |
Output is correct |
| 60 |
Correct |
1 ms |
596 KB |
Output is correct |
| 61 |
Correct |
0 ms |
468 KB |
Output is correct |
| 62 |
Correct |
1 ms |
596 KB |
Output is correct |
| 63 |
Correct |
4 ms |
3340 KB |
Output is correct |
| 64 |
Correct |
4 ms |
3808 KB |
Output is correct |
| 65 |
Correct |
5 ms |
4076 KB |
Output is correct |
| 66 |
Correct |
5 ms |
4108 KB |
Output is correct |
| 67 |
Correct |
1 ms |
596 KB |
Output is correct |
| 68 |
Correct |
1 ms |
724 KB |
Output is correct |
| 69 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 70 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 71 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 72 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 73 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 74 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 75 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 76 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 77 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 78 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 79 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 80 |
Correct |
1 ms |
1220 KB |
Output is correct |
| 81 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 82 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 83 |
Correct |
2 ms |
1108 KB |
Output is correct |
| 84 |
Correct |
9 ms |
12144 KB |
Output is correct |
| 85 |
Correct |
11 ms |
12144 KB |
Output is correct |
| 86 |
Correct |
16 ms |
18368 KB |
Output is correct |
| 87 |
Correct |
20 ms |
18260 KB |
Output is correct |
| 88 |
Correct |
15 ms |
18384 KB |
Output is correct |
| 89 |
Correct |
17 ms |
18132 KB |
Output is correct |
| 90 |
Correct |
15 ms |
17876 KB |
Output is correct |
| 91 |
Correct |
18 ms |
17876 KB |
Output is correct |
| 92 |
Correct |
17 ms |
17876 KB |
Output is correct |
| 93 |
Correct |
17 ms |
17876 KB |
Output is correct |
| 94 |
Correct |
16 ms |
17876 KB |
Output is correct |
| 95 |
Correct |
19 ms |
17876 KB |
Output is correct |
| 96 |
Correct |
589 ms |
365772 KB |
Output is correct |
| 97 |
Correct |
35 ms |
2900 KB |
Output is correct |
| 98 |
Correct |
488 ms |
365568 KB |
Output is correct |
| 99 |
Correct |
315 ms |
365648 KB |
Output is correct |
| 100 |
Correct |
51 ms |
3100 KB |
Output is correct |
| 101 |
Correct |
463 ms |
365752 KB |
Output is correct |
| 102 |
Correct |
701 ms |
365904 KB |
Output is correct |
| 103 |
Correct |
562 ms |
365676 KB |
Output is correct |
| 104 |
Correct |
574 ms |
365940 KB |
Output is correct |
| 105 |
Correct |
554 ms |
365808 KB |
Output is correct |
| 106 |
Correct |
549 ms |
365824 KB |
Output is correct |
| 107 |
Correct |
606 ms |
365968 KB |
Output is correct |
| 108 |
Correct |
393 ms |
319644 KB |
Output is correct |
| 109 |
Correct |
522 ms |
365848 KB |
Output is correct |
