#include<bits/stdc++.h>
#define pb push_back
#define x first
#define y second
#define all(a) (a).begin(), (a).end()
using namespace std;
typedef long long ll;
typedef pair<int, int> ii;
const int maxn = 1e5 + 5;
int n, M;
string s;
double dp[(1 << 15)];
vector<int> C[maxn];
double E[maxn];
double rek(int mask) {
if(__builtin_popcount(mask) == M)
return 0;
if(dp[mask] != -1)
return dp[mask];
vector<double> pref(n, 0);
for(int i = 0;i < n;i++) {
pref[i] += ((1 << (s[i] - 'A')) & mask) ? 1 : 0;
if(i) pref[i] += pref[i - 1];
}
double ret = 1e18;
for(int i = 0;i < M;i++) {
if((1 << i) & mask) continue;
double sum = 0, R = rek(mask | (1 << i));
int m = C[i].size();
if(m == 0) {
ret = min(ret, R);
continue;
}
for(int j : C[i])
sum += pref[j];
ret = min(ret, sum + E[m] + R);
//cout << mask << " " << i << " " << sum + E[m] << "\n";
for(int j = m - 1;j >= 0;j--) {
sum -= pref[C[i][j]];
sum += pref[n - 1];
if(C[i][j]) sum -= pref[C[i][j] - 1];
ret = min(ret, sum + E[j] + E[m - j] + R);
//cout << mask << " " << i << " " << sum + E[j] + E[m - j] << " " << R << "\n";
}
}
//cout << mask << " " << ret << " dp\n";
return dp[mask] = ret;
}
int main() {
cin >> s;
n = s.size();
if(n <= 100) M = 15;
else M = 10;
for(int i = 2;i <= n;i++)
E[i] = (double)i * (i - 1) / 4;
/*double sol = 1e18;
for(int i = 0;i <= n;i++)
sol = min(sol, E[i] + E[n - i]);
if(round(sol) != floor(sol)) printf("%.1lf\n", sol);
else printf("%.0lf\n", sol);
return 0;*/
for(int i = 0;i < n;i++)
C[s[i] - 'A'].pb(i);
for(int i = 0;i < (1 << M);i++)
dp[i] = -1.0;
double ans = rek(0);
if(round(ans) != floor(ans)) printf("%.1lf\n", ans);
else printf("%.0lf\n", ans);
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
8 ms |
2644 KB |
Output is correct |
2 |
Correct |
6 ms |
2900 KB |
Output is correct |
3 |
Correct |
6 ms |
2876 KB |
Output is correct |
4 |
Correct |
6 ms |
2912 KB |
Output is correct |
5 |
Correct |
8 ms |
2644 KB |
Output is correct |
6 |
Correct |
677 ms |
9964 KB |
Output is correct |
7 |
Correct |
824 ms |
11348 KB |
Output is correct |
8 |
Correct |
879 ms |
11980 KB |
Output is correct |
9 |
Correct |
888 ms |
11968 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
2916 KB |
Output is correct |
2 |
Correct |
29 ms |
2900 KB |
Output is correct |
3 |
Correct |
24 ms |
2920 KB |
Output is correct |
4 |
Correct |
22 ms |
2920 KB |
Output is correct |
5 |
Correct |
28 ms |
2900 KB |
Output is correct |
6 |
Correct |
7 ms |
2900 KB |
Output is correct |
7 |
Correct |
22 ms |
2924 KB |
Output is correct |
8 |
Correct |
10 ms |
2900 KB |
Output is correct |
9 |
Correct |
11 ms |
2900 KB |
Output is correct |
10 |
Correct |
11 ms |
2900 KB |
Output is correct |
11 |
Correct |
13 ms |
2900 KB |
Output is correct |
12 |
Correct |
10 ms |
2900 KB |
Output is correct |
13 |
Correct |
11 ms |
2916 KB |
Output is correct |
14 |
Correct |
13 ms |
2916 KB |
Output is correct |
15 |
Correct |
11 ms |
2912 KB |
Output is correct |
16 |
Correct |
9 ms |
2900 KB |
Output is correct |
17 |
Correct |
10 ms |
2912 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
2916 KB |
Output is correct |
2 |
Correct |
29 ms |
2900 KB |
Output is correct |
3 |
Correct |
24 ms |
2920 KB |
Output is correct |
4 |
Correct |
22 ms |
2920 KB |
Output is correct |
5 |
Correct |
28 ms |
2900 KB |
Output is correct |
6 |
Correct |
7 ms |
2900 KB |
Output is correct |
7 |
Correct |
22 ms |
2924 KB |
Output is correct |
8 |
Correct |
10 ms |
2900 KB |
Output is correct |
9 |
Correct |
11 ms |
2900 KB |
Output is correct |
10 |
Correct |
11 ms |
2900 KB |
Output is correct |
11 |
Correct |
13 ms |
2900 KB |
Output is correct |
12 |
Correct |
10 ms |
2900 KB |
Output is correct |
13 |
Correct |
11 ms |
2916 KB |
Output is correct |
14 |
Correct |
13 ms |
2916 KB |
Output is correct |
15 |
Correct |
11 ms |
2912 KB |
Output is correct |
16 |
Correct |
9 ms |
2900 KB |
Output is correct |
17 |
Correct |
10 ms |
2912 KB |
Output is correct |
18 |
Correct |
6 ms |
2900 KB |
Output is correct |
19 |
Correct |
27 ms |
2920 KB |
Output is correct |
20 |
Correct |
24 ms |
2924 KB |
Output is correct |
21 |
Correct |
24 ms |
2916 KB |
Output is correct |
22 |
Correct |
30 ms |
3028 KB |
Output is correct |
23 |
Correct |
6 ms |
2900 KB |
Output is correct |
24 |
Correct |
23 ms |
2920 KB |
Output is correct |
25 |
Correct |
9 ms |
2916 KB |
Output is correct |
26 |
Correct |
9 ms |
2900 KB |
Output is correct |
27 |
Correct |
9 ms |
2912 KB |
Output is correct |
28 |
Correct |
10 ms |
2912 KB |
Output is correct |
29 |
Correct |
10 ms |
2916 KB |
Output is correct |
30 |
Correct |
10 ms |
2900 KB |
Output is correct |
31 |
Correct |
10 ms |
2900 KB |
Output is correct |
32 |
Correct |
11 ms |
2916 KB |
Output is correct |
33 |
Correct |
12 ms |
2912 KB |
Output is correct |
34 |
Correct |
10 ms |
2900 KB |
Output is correct |
35 |
Correct |
86 ms |
3640 KB |
Output is correct |
36 |
Correct |
82 ms |
3640 KB |
Output is correct |
37 |
Correct |
84 ms |
3616 KB |
Output is correct |
38 |
Correct |
78 ms |
3584 KB |
Output is correct |
39 |
Correct |
74 ms |
3640 KB |
Output is correct |
40 |
Correct |
73 ms |
3584 KB |
Output is correct |
41 |
Correct |
78 ms |
3600 KB |
Output is correct |
42 |
Correct |
76 ms |
3592 KB |
Output is correct |
43 |
Correct |
75 ms |
3588 KB |
Output is correct |
44 |
Correct |
73 ms |
3588 KB |
Output is correct |
45 |
Correct |
74 ms |
3596 KB |
Output is correct |
46 |
Correct |
78 ms |
3588 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
8 ms |
2644 KB |
Output is correct |
2 |
Correct |
6 ms |
2900 KB |
Output is correct |
3 |
Correct |
6 ms |
2876 KB |
Output is correct |
4 |
Correct |
6 ms |
2912 KB |
Output is correct |
5 |
Correct |
8 ms |
2644 KB |
Output is correct |
6 |
Correct |
677 ms |
9964 KB |
Output is correct |
7 |
Correct |
824 ms |
11348 KB |
Output is correct |
8 |
Correct |
879 ms |
11980 KB |
Output is correct |
9 |
Correct |
888 ms |
11968 KB |
Output is correct |
10 |
Correct |
6 ms |
2916 KB |
Output is correct |
11 |
Correct |
29 ms |
2900 KB |
Output is correct |
12 |
Correct |
24 ms |
2920 KB |
Output is correct |
13 |
Correct |
22 ms |
2920 KB |
Output is correct |
14 |
Correct |
28 ms |
2900 KB |
Output is correct |
15 |
Correct |
7 ms |
2900 KB |
Output is correct |
16 |
Correct |
22 ms |
2924 KB |
Output is correct |
17 |
Correct |
10 ms |
2900 KB |
Output is correct |
18 |
Correct |
11 ms |
2900 KB |
Output is correct |
19 |
Correct |
11 ms |
2900 KB |
Output is correct |
20 |
Correct |
13 ms |
2900 KB |
Output is correct |
21 |
Correct |
10 ms |
2900 KB |
Output is correct |
22 |
Correct |
11 ms |
2916 KB |
Output is correct |
23 |
Correct |
13 ms |
2916 KB |
Output is correct |
24 |
Correct |
11 ms |
2912 KB |
Output is correct |
25 |
Correct |
9 ms |
2900 KB |
Output is correct |
26 |
Correct |
10 ms |
2912 KB |
Output is correct |
27 |
Correct |
6 ms |
2900 KB |
Output is correct |
28 |
Correct |
27 ms |
2920 KB |
Output is correct |
29 |
Correct |
24 ms |
2924 KB |
Output is correct |
30 |
Correct |
24 ms |
2916 KB |
Output is correct |
31 |
Correct |
30 ms |
3028 KB |
Output is correct |
32 |
Correct |
6 ms |
2900 KB |
Output is correct |
33 |
Correct |
23 ms |
2920 KB |
Output is correct |
34 |
Correct |
9 ms |
2916 KB |
Output is correct |
35 |
Correct |
9 ms |
2900 KB |
Output is correct |
36 |
Correct |
9 ms |
2912 KB |
Output is correct |
37 |
Correct |
10 ms |
2912 KB |
Output is correct |
38 |
Correct |
10 ms |
2916 KB |
Output is correct |
39 |
Correct |
10 ms |
2900 KB |
Output is correct |
40 |
Correct |
10 ms |
2900 KB |
Output is correct |
41 |
Correct |
11 ms |
2916 KB |
Output is correct |
42 |
Correct |
12 ms |
2912 KB |
Output is correct |
43 |
Correct |
10 ms |
2900 KB |
Output is correct |
44 |
Correct |
86 ms |
3640 KB |
Output is correct |
45 |
Correct |
82 ms |
3640 KB |
Output is correct |
46 |
Correct |
84 ms |
3616 KB |
Output is correct |
47 |
Correct |
78 ms |
3584 KB |
Output is correct |
48 |
Correct |
74 ms |
3640 KB |
Output is correct |
49 |
Correct |
73 ms |
3584 KB |
Output is correct |
50 |
Correct |
78 ms |
3600 KB |
Output is correct |
51 |
Correct |
76 ms |
3592 KB |
Output is correct |
52 |
Correct |
75 ms |
3588 KB |
Output is correct |
53 |
Correct |
73 ms |
3588 KB |
Output is correct |
54 |
Correct |
74 ms |
3596 KB |
Output is correct |
55 |
Correct |
78 ms |
3588 KB |
Output is correct |
56 |
Correct |
7 ms |
2900 KB |
Output is correct |
57 |
Correct |
11 ms |
2900 KB |
Output is correct |
58 |
Correct |
9 ms |
2644 KB |
Output is correct |
59 |
Correct |
6 ms |
2912 KB |
Output is correct |
60 |
Correct |
9 ms |
2908 KB |
Output is correct |
61 |
Correct |
6 ms |
2900 KB |
Output is correct |
62 |
Correct |
8 ms |
2768 KB |
Output is correct |
63 |
Correct |
728 ms |
10020 KB |
Output is correct |
64 |
Correct |
820 ms |
11376 KB |
Output is correct |
65 |
Correct |
882 ms |
11980 KB |
Output is correct |
66 |
Correct |
905 ms |
12092 KB |
Output is correct |
67 |
Correct |
6 ms |
2900 KB |
Output is correct |
68 |
Correct |
27 ms |
2900 KB |
Output is correct |
69 |
Correct |
26 ms |
2924 KB |
Output is correct |
70 |
Correct |
24 ms |
2900 KB |
Output is correct |
71 |
Correct |
28 ms |
2916 KB |
Output is correct |
72 |
Correct |
8 ms |
2900 KB |
Output is correct |
73 |
Correct |
20 ms |
2900 KB |
Output is correct |
74 |
Correct |
12 ms |
2900 KB |
Output is correct |
75 |
Correct |
10 ms |
2900 KB |
Output is correct |
76 |
Correct |
15 ms |
2912 KB |
Output is correct |
77 |
Correct |
14 ms |
2920 KB |
Output is correct |
78 |
Correct |
12 ms |
2908 KB |
Output is correct |
79 |
Correct |
10 ms |
2900 KB |
Output is correct |
80 |
Correct |
10 ms |
2900 KB |
Output is correct |
81 |
Correct |
10 ms |
2900 KB |
Output is correct |
82 |
Correct |
12 ms |
2900 KB |
Output is correct |
83 |
Correct |
14 ms |
2900 KB |
Output is correct |
84 |
Correct |
77 ms |
3640 KB |
Output is correct |
85 |
Correct |
76 ms |
3640 KB |
Output is correct |
86 |
Correct |
84 ms |
3592 KB |
Output is correct |
87 |
Correct |
81 ms |
3584 KB |
Output is correct |
88 |
Correct |
79 ms |
3596 KB |
Output is correct |
89 |
Correct |
75 ms |
3584 KB |
Output is correct |
90 |
Correct |
77 ms |
3712 KB |
Output is correct |
91 |
Correct |
78 ms |
3596 KB |
Output is correct |
92 |
Correct |
77 ms |
3588 KB |
Output is correct |
93 |
Correct |
78 ms |
3644 KB |
Output is correct |
94 |
Correct |
80 ms |
3588 KB |
Output is correct |
95 |
Correct |
81 ms |
3588 KB |
Output is correct |
96 |
Incorrect |
813 ms |
12132 KB |
Output isn't correct |
97 |
Halted |
0 ms |
0 KB |
- |