/**
____ ____ ____ ____ ____
||a |||t |||o |||d |||o ||
||__|||__|||__|||__|||__||
|/__\|/__\|/__\|/__\|/__\|
**/
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int N_MAX = 100000;
const int G_MAX = 15;
int G, N;
int group[N_MAX];
vector <int> inGroup[G_MAX];
mt19937 rnd(0);
void input () {
string S;
cin >> S;
N = (int) S.size();
bool occ[26];
fill(occ, occ + 26, false);
for (int i = 0; i < N; i++) {
group[i] = (int) (S[i] - 'A');
occ[group[i]] = true;
}
int id[26];
for (int g = 0; g < 26; g++) {
if (occ[g] == true) {
id[g] = G++;
}
}
for (int i = 0; i < N; i++) {
group[i] = id[group[i]];
inGroup[group[i]].push_back(i);
}
}
int pref[N_MAX], suff[N_MAX];
ll minEV[1 << G_MAX];
void update (ll &x, const ll &y) {
if (y < x) {
x = y;
}
}
int main () {
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
cout << fixed << setprecision(4);
input();
// cout << N << " " << G << "\n";
// for (int i = 0; i < N; i++) {
// cout << group[i] << " ";
// }
// cout << "\n";
fill(minEV, minEV + (1 << G), LLONG_MAX);
minEV[0] = 0;
for (int mask = 0; mask < (1 << G) - 1; mask++) {
for (int i = 0; i < N; i++) {
pref[i] = (i > 0 ? pref[i - 1] : 0) + ((mask >> group[i]) & 1);
}
for (int i = N - 1; i >= 0; i--) {
suff[i] = (i < N - 1 ? suff[i + 1] : 0) + ((mask >> group[i]) & 1);
}
for (int g = 0; g < G; g++) {
if (((mask >> g) & 1) == 0) {
ll add = 0;
for (int i = 0; i < (int) inGroup[g].size(); i++) {
add += 2 * suff[inGroup[g][i]];
}
for (int cntL = 0; cntL <= (int) inGroup[g].size(); cntL++) {
int cntR = (int) inGroup[g].size() - cntL;
update(minEV[mask | (1 << g)], minEV[mask]
+ (add + (ll) cntL * (cntL - 1) / 2 + (ll) cntR * (cntR - 1) / 2));
if (cntL < inGroup[g].size()) {
add -= 2 * suff[inGroup[g][cntL]];
add += 2 * pref[inGroup[g][cntL]];
}
}
}
}
}
ll answer = minEV[(1 << G) - 1];
if (answer % 2 == 0) {
cout << answer / 2 << "\n";
} else {
cout << answer / 2 << ".5\n";
}
return 0;
}
Compilation message
passes.cpp: In function 'int main()':
passes.cpp:87:30: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
87 | if (cntL < inGroup[g].size()) {
| ~~~~~^~~~~~~~~~~~~~~~~~~
# |
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 |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
340 KB |
Output is correct |
6 |
Correct |
4 ms |
1808 KB |
Output is correct |
7 |
Correct |
4 ms |
2064 KB |
Output is correct |
8 |
Correct |
3 ms |
2192 KB |
Output is correct |
9 |
Correct |
4 ms |
2192 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
356 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
0 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
0 ms |
340 KB |
Output is correct |
8 |
Correct |
0 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
0 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
0 ms |
340 KB |
Output is correct |
17 |
Correct |
0 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
356 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
0 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
0 ms |
340 KB |
Output is correct |
8 |
Correct |
0 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
0 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
0 ms |
340 KB |
Output is correct |
17 |
Correct |
0 ms |
340 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
1 ms |
340 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
0 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Correct |
1 ms |
340 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
1 ms |
340 KB |
Output is correct |
29 |
Correct |
0 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
340 KB |
Output is correct |
31 |
Correct |
0 ms |
340 KB |
Output is correct |
32 |
Correct |
0 ms |
212 KB |
Output is correct |
33 |
Correct |
0 ms |
340 KB |
Output is correct |
34 |
Correct |
1 ms |
292 KB |
Output is correct |
35 |
Correct |
1 ms |
468 KB |
Output is correct |
36 |
Correct |
1 ms |
468 KB |
Output is correct |
37 |
Correct |
55 ms |
468 KB |
Output is correct |
38 |
Correct |
56 ms |
524 KB |
Output is correct |
39 |
Correct |
55 ms |
596 KB |
Output is correct |
40 |
Correct |
56 ms |
468 KB |
Output is correct |
41 |
Correct |
56 ms |
556 KB |
Output is correct |
42 |
Correct |
56 ms |
556 KB |
Output is correct |
43 |
Correct |
58 ms |
552 KB |
Output is correct |
44 |
Correct |
59 ms |
536 KB |
Output is correct |
45 |
Correct |
56 ms |
552 KB |
Output is correct |
46 |
Correct |
55 ms |
468 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 |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
340 KB |
Output is correct |
6 |
Correct |
4 ms |
1808 KB |
Output is correct |
7 |
Correct |
4 ms |
2064 KB |
Output is correct |
8 |
Correct |
3 ms |
2192 KB |
Output is correct |
9 |
Correct |
4 ms |
2192 KB |
Output is correct |
10 |
Correct |
1 ms |
356 KB |
Output is correct |
11 |
Correct |
0 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
0 ms |
340 KB |
Output is correct |
15 |
Correct |
0 ms |
340 KB |
Output is correct |
16 |
Correct |
0 ms |
340 KB |
Output is correct |
17 |
Correct |
0 ms |
340 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
1 ms |
340 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
0 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
0 ms |
340 KB |
Output is correct |
26 |
Correct |
0 ms |
340 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
1 ms |
340 KB |
Output is correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
340 KB |
Output is correct |
31 |
Correct |
1 ms |
340 KB |
Output is correct |
32 |
Correct |
0 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
340 KB |
Output is correct |
34 |
Correct |
1 ms |
340 KB |
Output is correct |
35 |
Correct |
1 ms |
340 KB |
Output is correct |
36 |
Correct |
1 ms |
340 KB |
Output is correct |
37 |
Correct |
1 ms |
340 KB |
Output is correct |
38 |
Correct |
0 ms |
340 KB |
Output is correct |
39 |
Correct |
1 ms |
340 KB |
Output is correct |
40 |
Correct |
0 ms |
340 KB |
Output is correct |
41 |
Correct |
0 ms |
212 KB |
Output is correct |
42 |
Correct |
0 ms |
340 KB |
Output is correct |
43 |
Correct |
1 ms |
292 KB |
Output is correct |
44 |
Correct |
1 ms |
468 KB |
Output is correct |
45 |
Correct |
1 ms |
468 KB |
Output is correct |
46 |
Correct |
55 ms |
468 KB |
Output is correct |
47 |
Correct |
56 ms |
524 KB |
Output is correct |
48 |
Correct |
55 ms |
596 KB |
Output is correct |
49 |
Correct |
56 ms |
468 KB |
Output is correct |
50 |
Correct |
56 ms |
556 KB |
Output is correct |
51 |
Correct |
56 ms |
556 KB |
Output is correct |
52 |
Correct |
58 ms |
552 KB |
Output is correct |
53 |
Correct |
59 ms |
536 KB |
Output is correct |
54 |
Correct |
56 ms |
552 KB |
Output is correct |
55 |
Correct |
55 ms |
468 KB |
Output is correct |
56 |
Correct |
1 ms |
340 KB |
Output is correct |
57 |
Correct |
8 ms |
596 KB |
Output is correct |
58 |
Correct |
0 ms |
340 KB |
Output is correct |
59 |
Correct |
0 ms |
336 KB |
Output is correct |
60 |
Correct |
0 ms |
336 KB |
Output is correct |
61 |
Correct |
1 ms |
336 KB |
Output is correct |
62 |
Correct |
0 ms |
340 KB |
Output is correct |
63 |
Correct |
3 ms |
1944 KB |
Output is correct |
64 |
Correct |
4 ms |
2192 KB |
Output is correct |
65 |
Correct |
4 ms |
2320 KB |
Output is correct |
66 |
Correct |
3 ms |
2328 KB |
Output is correct |
67 |
Correct |
1 ms |
344 KB |
Output is correct |
68 |
Correct |
1 ms |
340 KB |
Output is correct |
69 |
Correct |
1 ms |
340 KB |
Output is correct |
70 |
Correct |
1 ms |
340 KB |
Output is correct |
71 |
Correct |
1 ms |
336 KB |
Output is correct |
72 |
Correct |
1 ms |
340 KB |
Output is correct |
73 |
Correct |
1 ms |
340 KB |
Output is correct |
74 |
Correct |
1 ms |
340 KB |
Output is correct |
75 |
Correct |
1 ms |
340 KB |
Output is correct |
76 |
Correct |
0 ms |
340 KB |
Output is correct |
77 |
Correct |
1 ms |
340 KB |
Output is correct |
78 |
Correct |
1 ms |
340 KB |
Output is correct |
79 |
Correct |
0 ms |
340 KB |
Output is correct |
80 |
Correct |
1 ms |
336 KB |
Output is correct |
81 |
Correct |
1 ms |
332 KB |
Output is correct |
82 |
Correct |
1 ms |
336 KB |
Output is correct |
83 |
Correct |
1 ms |
340 KB |
Output is correct |
84 |
Correct |
1 ms |
592 KB |
Output is correct |
85 |
Correct |
2 ms |
468 KB |
Output is correct |
86 |
Correct |
69 ms |
548 KB |
Output is correct |
87 |
Correct |
65 ms |
468 KB |
Output is correct |
88 |
Correct |
54 ms |
592 KB |
Output is correct |
89 |
Correct |
54 ms |
468 KB |
Output is correct |
90 |
Correct |
62 ms |
556 KB |
Output is correct |
91 |
Correct |
63 ms |
548 KB |
Output is correct |
92 |
Correct |
55 ms |
552 KB |
Output is correct |
93 |
Correct |
57 ms |
540 KB |
Output is correct |
94 |
Correct |
55 ms |
468 KB |
Output is correct |
95 |
Correct |
56 ms |
468 KB |
Output is correct |
96 |
Execution timed out |
2058 ms |
2528 KB |
Time limit exceeded |
97 |
Halted |
0 ms |
0 KB |
- |