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Submission #578274

# Submission time Handle Problem Language Result Execution time Memory
578274 2022-06-16T09:55:32 Z IvanJ Boarding Passes (BOI22_passes) C++17
60 / 100
 905 ms 12132 KB 
#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;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory 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

Subtask #2
25.0 / 25.0

# Verdict Execution time Memory 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

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory 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

Subtask #4
0 / 40.0

# Verdict Execution time Memory 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 -