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Submission #581177

# Submission time Handle Problem Language Result Execution time Memory
581177 2022-06-22T10:28:17 Z jasmin Boarding Passes (BOI22_passes) C++17
60 / 100
 2000 ms 3644 KB 
#include<bits/stdc++.h>
using namespace std;
#define int long long

int inf=1e18;

int cost(int last, int mask, vector<int>& group, int n){
    vector<int> prefix(n+1);
    vector<int> suffix(n+1);
    for(int i=0; i<n; i++){
        prefix[i+1]=prefix[i];
        if(group[i]==last){
            prefix[i+1]+=1;
        }
        else if((mask>>group[i])%2==1){
            prefix[i+1]+=2;
        }
    }
    for(int i=n-1; i>=0; i--){
        suffix[i]=suffix[i+1];
        if(group[i]==last){
            suffix[i]+=1;
        }
        else if((mask>>group[i])%2==1){
            suffix[i]+=2;
        }
    }

    int ans=0;
    for(int i=0; i<n; i++){
        if(group[i]!=last) continue;
        ans+=min(prefix[i], suffix[i+1]);
        //cout << i << " " << prefix[i] << " " << suffix[i+1] << " " << ans << "\n";
    }
    //cout << ans << "\n";
    return ans;
}

signed main(){
    ios_base::sync_with_stdio(false);
    cin.tie(0);

    string s;
    cin >> s;
    set<int> b;
    int n=s.size();
    vector<int> group(n);
    for(int i=0; i<n; i++){
        b.insert(s[i]);
    }
    int g=b.size();
    int ind=0;
    map<int,int> num;
    for(auto e: b){
        num[e]=ind;
        ind++;
    }
    for(int i=0; i<n; i++){
        group[i]=num[s[i]];
    }

    vector<int> dp((1<<g), inf);
    dp[0]=0;
    //cout << n << " " << g << "<n";
    for(int i=1; i<(1<<g); i++){

        for(int last=0; last<g; last++){
            if((i>>last)%2==0) continue;
            //cout << dp[i] << " " << dp[i-(1<<last)] << " " << cost(last, i, group, n) << "\n";
            dp[i]=min(dp[i], dp[i-(1<<last)]+cost(last, i, group, n));
        }
    }

    double ans=(double)(dp[(1<<g)-1])/2;
    //cout << "hallo\n";
    //cout << dp[(1<<g)-1] << " " << dp[1] << " " << cost(0, 1, group, n) << "\n";
    cout.precision(100);
    cout << ans << "\n";
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 2 ms 2260 KB Output is correct
7 Correct 3 ms 2644 KB Output is correct
8 Correct 3 ms 2900 KB Output is correct
9 Correct 3 ms 2900 KB Output is correct

Subtask #2
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 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 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 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 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 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 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 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 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 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 212 KB Output is correct
26 Correct 1 ms 212 KB Output is correct
27 Correct 1 ms 212 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 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 212 KB Output is correct
35 Correct 1 ms 468 KB Output is correct
36 Correct 1 ms 468 KB Output is correct
37 Correct 736 ms 828 KB Output is correct
38 Correct 414 ms 644 KB Output is correct
39 Correct 372 ms 592 KB Output is correct
40 Correct 393 ms 720 KB Output is correct
41 Correct 422 ms 576 KB Output is correct
42 Correct 431 ms 668 KB Output is correct
43 Correct 471 ms 572 KB Output is correct
44 Correct 401 ms 612 KB Output is correct
45 Correct 433 ms 580 KB Output is correct
46 Correct 417 ms 668 KB Output is correct

Subtask #4
0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 2 ms 2260 KB Output is correct
7 Correct 3 ms 2644 KB Output is correct
8 Correct 3 ms 2900 KB Output is correct
9 Correct 3 ms 2900 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 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 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 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 212 KB Output is correct
26 Correct 1 ms 212 KB Output is correct
27 Correct 0 ms 212 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 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 212 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 1 ms 212 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 212 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 212 KB Output is correct
43 Correct 1 ms 212 KB Output is correct
44 Correct 1 ms 468 KB Output is correct
45 Correct 1 ms 468 KB Output is correct
46 Correct 736 ms 828 KB Output is correct
47 Correct 414 ms 644 KB Output is correct
48 Correct 372 ms 592 KB Output is correct
49 Correct 393 ms 720 KB Output is correct
50 Correct 422 ms 576 KB Output is correct
51 Correct 431 ms 668 KB Output is correct
52 Correct 471 ms 572 KB Output is correct
53 Correct 401 ms 612 KB Output is correct
54 Correct 433 ms 580 KB Output is correct
55 Correct 417 ms 668 KB Output is correct
56 Correct 0 ms 212 KB Output is correct
57 Correct 84 ms 468 KB Output is correct
58 Correct 1 ms 212 KB Output is correct
59 Correct 0 ms 212 KB Output is correct
60 Correct 0 ms 212 KB Output is correct
61 Correct 0 ms 212 KB Output is correct
62 Correct 0 ms 340 KB Output is correct
63 Correct 2 ms 2260 KB Output is correct
64 Correct 4 ms 2644 KB Output is correct
65 Correct 4 ms 2900 KB Output is correct
66 Correct 3 ms 2900 KB Output is correct
67 Correct 0 ms 212 KB Output is correct
68 Correct 0 ms 212 KB Output is correct
69 Correct 1 ms 212 KB Output is correct
70 Correct 1 ms 212 KB Output is correct
71 Correct 1 ms 212 KB Output is correct
72 Correct 1 ms 212 KB Output is correct
73 Correct 1 ms 212 KB Output is correct
74 Correct 1 ms 212 KB Output is correct
75 Correct 1 ms 212 KB Output is correct
76 Correct 1 ms 212 KB Output is correct
77 Correct 1 ms 212 KB Output is correct
78 Correct 1 ms 212 KB Output is correct
79 Correct 1 ms 212 KB Output is correct
80 Correct 1 ms 212 KB Output is correct
81 Correct 1 ms 212 KB Output is correct
82 Correct 0 ms 212 KB Output is correct
83 Correct 0 ms 212 KB Output is correct
84 Correct 1 ms 468 KB Output is correct
85 Correct 1 ms 468 KB Output is correct
86 Correct 785 ms 784 KB Output is correct
87 Correct 431 ms 740 KB Output is correct
88 Correct 446 ms 704 KB Output is correct
89 Correct 386 ms 652 KB Output is correct
90 Correct 477 ms 700 KB Output is correct
91 Correct 425 ms 580 KB Output is correct
92 Correct 414 ms 676 KB Output is correct
93 Correct 444 ms 564 KB Output is correct
94 Correct 392 ms 708 KB Output is correct
95 Correct 432 ms 660 KB Output is correct
96 Execution timed out 2074 ms 3644 KB Time limit exceeded
97 Halted 0 ms 0 KB -