//Challenge: Accepted
#include <bits/stdc++.h>
using namespace std;
#ifdef zisk
void debug(){cout << endl;}
template<class T, class ... U> void debug(T a, U ... b){cout << a << " ", debug(b...); }
template<class T> void pary(T l, T r) {
while (l != r) cout << *l << " ", l++;
cout << endl;
}
#else
#define debug(...) 0
#define pary(...) 0
#endif
#define ll long long
#define maxn 100005
#define maxc 10
#define pii pair<int, int>
#define ff first
#define ss second
#define io ios_base::sync_with_stdio(0);cin.tie(0);
const ll inf = 1LL<<60;
ll dp[1<<maxc];
int pref[maxn], suf[maxn], col[maxn];
vector<int> pos[maxc];
int main() {
io
ll n;
string s;
cin >> s;
n = s.size();
/*
ll p = n / 2;
cout << fixed << setprecision(5) << (double)(p * (p - 1) + (n-p) * (n-p - 1)) / 4 << "\n";
return 0;
*/
for (int i = 0;i < n;i++) {
int c = s[i] - 'A';
pos[c].push_back(i);
col[i] = c;
}
for (int i = 0;i < (1<<maxc);i++) dp[i] = inf;
dp[0] = 0;
for (int i = 0;i < (1<<maxc);i++) {
for (int j = 0;j < n;j++) {
pref[j] = suf[j] = (i >> col[j])&1;
pref[j] += j ? pref[j-1] : 0;
}
for (int j = n - 2;j >= 0;j--)suf[j] += suf[j+1];
for (int j = 0;j < maxc;j++) {
if (!((i >> j) & 1)) {
ll cur = 0, pc = 0, sc = 0;
for (int k:pos[j]) {
cur += pref[k];
pc++;
}
int to = i + (1<<j);
dp[to] = min(dp[to], dp[i] + cur*4 + pc * (pc-1));
for (int k = (int)pos[j].size() - 1;k >= 0;k--) {
sc++;
pc--;
cur += suf[pos[j][k]] - pref[pos[j][k]];
dp[to] = min(dp[to], dp[i] + cur*4 + pc * (pc-1) + sc * (sc-1));
}
}
}
}
ll ans = dp[(1<<maxc) - 1];
ll a0 = ans / 4;
cout << a0;
if (ans % 4 == 1) {
cout << ".25\n";
} else if (ans % 4 == 2) {
cout << ".5\n";
} else if (ans % 4 == 3) {
cout << ".75\n";
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
8 ms |
340 KB |
Output is correct |
6 |
Correct |
519 ms |
1808 KB |
Output is correct |
7 |
Correct |
653 ms |
2064 KB |
Output is correct |
8 |
Correct |
705 ms |
2192 KB |
Output is correct |
9 |
Correct |
693 ms |
2192 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
2 ms |
340 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 |
340 KB |
Output is correct |
8 |
Correct |
0 ms |
212 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 |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
0 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
2 ms |
340 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 |
340 KB |
Output is correct |
8 |
Correct |
0 ms |
212 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 |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
0 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
1 ms |
340 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
2 ms |
340 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 |
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 |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
1 ms |
388 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 |
340 KB |
Output is correct |
34 |
Correct |
1 ms |
212 KB |
Output is correct |
35 |
Correct |
70 ms |
564 KB |
Output is correct |
36 |
Correct |
70 ms |
468 KB |
Output is correct |
37 |
Correct |
76 ms |
468 KB |
Output is correct |
38 |
Correct |
71 ms |
504 KB |
Output is correct |
39 |
Correct |
67 ms |
576 KB |
Output is correct |
40 |
Correct |
68 ms |
504 KB |
Output is correct |
41 |
Correct |
71 ms |
532 KB |
Output is correct |
42 |
Correct |
71 ms |
524 KB |
Output is correct |
43 |
Correct |
77 ms |
532 KB |
Output is correct |
44 |
Correct |
68 ms |
468 KB |
Output is correct |
45 |
Correct |
67 ms |
468 KB |
Output is correct |
46 |
Correct |
68 ms |
528 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
8 ms |
340 KB |
Output is correct |
6 |
Correct |
519 ms |
1808 KB |
Output is correct |
7 |
Correct |
653 ms |
2064 KB |
Output is correct |
8 |
Correct |
705 ms |
2192 KB |
Output is correct |
9 |
Correct |
693 ms |
2192 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 |
2 ms |
340 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 |
340 KB |
Output is correct |
17 |
Correct |
0 ms |
212 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 |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
0 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 |
212 KB |
Output is correct |
29 |
Correct |
2 ms |
340 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 |
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 |
212 KB |
Output is correct |
38 |
Correct |
1 ms |
212 KB |
Output is correct |
39 |
Correct |
1 ms |
388 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 |
340 KB |
Output is correct |
43 |
Correct |
1 ms |
212 KB |
Output is correct |
44 |
Correct |
70 ms |
564 KB |
Output is correct |
45 |
Correct |
70 ms |
468 KB |
Output is correct |
46 |
Correct |
76 ms |
468 KB |
Output is correct |
47 |
Correct |
71 ms |
504 KB |
Output is correct |
48 |
Correct |
67 ms |
576 KB |
Output is correct |
49 |
Correct |
68 ms |
504 KB |
Output is correct |
50 |
Correct |
71 ms |
532 KB |
Output is correct |
51 |
Correct |
71 ms |
524 KB |
Output is correct |
52 |
Correct |
77 ms |
532 KB |
Output is correct |
53 |
Correct |
68 ms |
468 KB |
Output is correct |
54 |
Correct |
67 ms |
468 KB |
Output is correct |
55 |
Correct |
68 ms |
528 KB |
Output is correct |
56 |
Runtime error |
1 ms |
468 KB |
Execution killed with signal 11 |
57 |
Halted |
0 ms |
0 KB |
- |