oj.uz

Submission #748634

# Submission time Handle Problem Language Result Execution time Memory
748634 2023-05-26T16:14:36 Z inventiontime Boarding Passes (BOI22_passes) C++17
30 / 100
 2000 ms 1680 KB 
#include <bits/stdc++.h>
using namespace std;

#define int ll
#define endl '\n' //comment for interactive
#define fast_io ios::sync_with_stdio(0); cin.tie(0); cout.tie(0)

#define pb push_back
#define re resize
#define ff first
#define ss second

#define all(x) (x).begin(), (x).end()
#define all1(x) (x).begin()+1, (x).end()
#define loop(i, n) for(int i = 0; i < n; i++)
#define loop1(i, n) for(int i = 1; i <= n; i++)

#define print(x) cout << #x << ": " << x << endl << flush

typedef long long ll;
typedef vector<int> vi;
typedef vector<double> vd;
typedef array<int, 2> ii;
typedef array<int, 3> ti;
typedef vector<ii> vii;
typedef vector<ti> vti;
typedef vector<vi> vvi;
typedef priority_queue<int> pq;

template<class T> bool ckmin(T&a, T b) { bool B = a > b; a = min(a, b); return B; }
template<class T> bool ckmax(T&a, T b) { bool B = a < b; a = max(a, b); return B; }

const int inf = 1e17;

double cst(int x) {
    return (double) x * (x-1) / 4;
}

void solve() {


    string s;
    cin >> s;
    int n = s.size();
    vvi pos(26);
    loop(i, n) 
        pos[s[i]-'A'].pb(i);
    vi ch;
    loop(i, 26) if(!pos[i].empty())
        ch.pb(i);
    int g = ch.size();
    vi id(26);
    loop(i, g) id[ch[i]] = i;

    if(g == 1) {
        cout << setprecision(16) << cst(n/2) + cst((n+1)/2) << endl;
        return;
    }


    vd dp(1 << g, inf);
    dp[0] = 0;
    loop(pre, 1 << g) {
        bitset<15> prev(pre);
        loop(ch, g) if(!prev[ch]) {
            int nxt = pre + (1 << ch);
            double cost = inf;
            loop(idx, n) {

                double ans = 0;
                int cnt = 0, oth = 0;
                for(int i = 0; i <= idx; i++) {
                    if(prev[id[s[i]-'A']]) oth++;
                    else if(id[s[i]-'A'] == ch) {
                        cnt++;
                        ans += oth;
                    }
                }
                ans += cst(cnt);

                cnt = 0, oth = 0;
                for(int i = n-1; i > idx; i--) {
                    if(prev[id[s[i]-'A']]) oth++;
                    else if(id[s[i]-'A'] == ch) {
                        cnt++;
                        ans += oth;
                    }
                }
                ans += cst(cnt);

                ckmin(cost, ans);
                
            }
            ckmin(dp[nxt], dp[pre] + cost);
        }
    }


    cout << setprecision(16) << dp[(1 << g) - 1] << endl;

}

signed main() {

    fast_io;

    int t = 1; //cin >> t;
    while(t--)
        solve();

    return 0;

}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB found '100800.5000000000', expected '100800.5000000000', error '0.0000000000'
2 Correct 0 ms 212 KB found '0.0000000000', expected '0.0000000000', error '-0.0000000000'
3 Correct 0 ms 212 KB found '0.0000000000', expected '0.0000000000', error '-0.0000000000'
4 Correct 0 ms 212 KB found '1.0000000000', expected '1.0000000000', error '0.0000000000'
5 Correct 0 ms 212 KB found '124002.0000000000', expected '124002.0000000000', error '0.0000000000'
6 Correct 2 ms 1680 KB found '772893586.0000000000', expected '772893586.0000000000', error '0.0000000000'
7 Correct 2 ms 1680 KB found '1100977812.5000000000', expected '1100977812.5000000000', error '0.0000000000'
8 Correct 2 ms 1680 KB found '1249950000.5000000000', expected '1249950000.5000000000', error '0.0000000000'
9 Correct 2 ms 1680 KB found '1249975000.0000000000', expected '1249975000.0000000000', error '0.0000000000'

Subtask #2
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB found '1.0000000000', expected '1.0000000000', error '0.0000000000'
2 Correct 0 ms 212 KB found '1225.0000000000', expected '1225.0000000000', error '0.0000000000'
3 Correct 9 ms 316 KB found '1023.0000000000', expected '1023.0000000000', error '0.0000000000'
4 Correct 9 ms 224 KB found '294.0000000000', expected '294.0000000000', error '0.0000000000'
5 Correct 7 ms 212 KB found '1087.0000000000', expected '1087.0000000000', error '0.0000000000'
6 Correct 1 ms 212 KB found '1.5000000000', expected '1.5000000000', error '0.0000000000'
7 Correct 6 ms 212 KB found '703.0000000000', expected '703.0000000000', error '0.0000000000'
8 Correct 1 ms 212 KB found '55.5000000000', expected '55.5000000000', error '0.0000000000'
9 Correct 2 ms 212 KB found '56.0000000000', expected '56.0000000000', error '0.0000000000'
10 Correct 2 ms 212 KB found '45.0000000000', expected '45.0000000000', error '0.0000000000'
11 Correct 2 ms 212 KB found '66.5000000000', expected '66.5000000000', error '0.0000000000'
12 Correct 2 ms 212 KB found '67.0000000000', expected '67.0000000000', error '0.0000000000'
13 Correct 2 ms 212 KB found '66.0000000000', expected '66.0000000000', error '0.0000000000'
14 Correct 2 ms 212 KB found '47.0000000000', expected '47.0000000000', error '0.0000000000'
15 Correct 1 ms 212 KB found '50.0000000000', expected '50.0000000000', error '0.0000000000'
16 Correct 2 ms 212 KB found '49.0000000000', expected '49.0000000000', error '0.0000000000'
17 Correct 2 ms 212 KB found '57.0000000000', expected '57.0000000000', error '0.0000000000'

Subtask #3
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB found '1.0000000000', expected '1.0000000000', error '0.0000000000'
2 Correct 0 ms 212 KB found '1225.0000000000', expected '1225.0000000000', error '0.0000000000'
3 Correct 9 ms 316 KB found '1023.0000000000', expected '1023.0000000000', error '0.0000000000'
4 Correct 9 ms 224 KB found '294.0000000000', expected '294.0000000000', error '0.0000000000'
5 Correct 7 ms 212 KB found '1087.0000000000', expected '1087.0000000000', error '0.0000000000'
6 Correct 1 ms 212 KB found '1.5000000000', expected '1.5000000000', error '0.0000000000'
7 Correct 6 ms 212 KB found '703.0000000000', expected '703.0000000000', error '0.0000000000'
8 Correct 1 ms 212 KB found '55.5000000000', expected '55.5000000000', error '0.0000000000'
9 Correct 2 ms 212 KB found '56.0000000000', expected '56.0000000000', error '0.0000000000'
10 Correct 2 ms 212 KB found '45.0000000000', expected '45.0000000000', error '0.0000000000'
11 Correct 2 ms 212 KB found '66.5000000000', expected '66.5000000000', error '0.0000000000'
12 Correct 2 ms 212 KB found '67.0000000000', expected '67.0000000000', error '0.0000000000'
13 Correct 2 ms 212 KB found '66.0000000000', expected '66.0000000000', error '0.0000000000'
14 Correct 2 ms 212 KB found '47.0000000000', expected '47.0000000000', error '0.0000000000'
15 Correct 1 ms 212 KB found '50.0000000000', expected '50.0000000000', error '0.0000000000'
16 Correct 2 ms 212 KB found '49.0000000000', expected '49.0000000000', error '0.0000000000'
17 Correct 2 ms 212 KB found '57.0000000000', expected '57.0000000000', error '0.0000000000'
18 Correct 1 ms 212 KB found '1.0000000000', expected '1.0000000000', error '0.0000000000'
19 Correct 0 ms 212 KB found '1225.0000000000', expected '1225.0000000000', error '0.0000000000'
20 Correct 10 ms 212 KB found '1023.0000000000', expected '1023.0000000000', error '0.0000000000'
21 Correct 7 ms 324 KB found '294.0000000000', expected '294.0000000000', error '0.0000000000'
22 Correct 7 ms 212 KB found '1087.0000000000', expected '1087.0000000000', error '0.0000000000'
23 Correct 1 ms 212 KB found '1.5000000000', expected '1.5000000000', error '0.0000000000'
24 Correct 7 ms 212 KB found '703.0000000000', expected '703.0000000000', error '0.0000000000'
25 Correct 1 ms 212 KB found '55.5000000000', expected '55.5000000000', error '0.0000000000'
26 Correct 2 ms 212 KB found '56.0000000000', expected '56.0000000000', error '0.0000000000'
27 Correct 2 ms 212 KB found '45.0000000000', expected '45.0000000000', error '0.0000000000'
28 Correct 2 ms 212 KB found '66.5000000000', expected '66.5000000000', error '0.0000000000'
29 Correct 2 ms 212 KB found '67.0000000000', expected '67.0000000000', error '0.0000000000'
30 Correct 2 ms 212 KB found '66.0000000000', expected '66.0000000000', error '0.0000000000'
31 Correct 2 ms 212 KB found '47.0000000000', expected '47.0000000000', error '0.0000000000'
32 Correct 2 ms 212 KB found '50.0000000000', expected '50.0000000000', error '0.0000000000'
33 Correct 2 ms 212 KB found '49.0000000000', expected '49.0000000000', error '0.0000000000'
34 Correct 2 ms 212 KB found '57.0000000000', expected '57.0000000000', error '0.0000000000'
35 Correct 1 ms 468 KB found '12497500.0000000000', expected '12497500.0000000000', error '0.0000000000'
36 Correct 1 ms 468 KB found '12495000.5000000000', expected '12495000.5000000000', error '0.0000000000'
37 Execution timed out 2088 ms 468 KB Time limit exceeded
38 Halted 0 ms 0 KB -

Subtask #4
0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB found '100800.5000000000', expected '100800.5000000000', error '0.0000000000'
2 Correct 0 ms 212 KB found '0.0000000000', expected '0.0000000000', error '-0.0000000000'
3 Correct 0 ms 212 KB found '0.0000000000', expected '0.0000000000', error '-0.0000000000'
4 Correct 0 ms 212 KB found '1.0000000000', expected '1.0000000000', error '0.0000000000'
5 Correct 0 ms 212 KB found '124002.0000000000', expected '124002.0000000000', error '0.0000000000'
6 Correct 2 ms 1680 KB found '772893586.0000000000', expected '772893586.0000000000', error '0.0000000000'
7 Correct 2 ms 1680 KB found '1100977812.5000000000', expected '1100977812.5000000000', error '0.0000000000'
8 Correct 2 ms 1680 KB found '1249950000.5000000000', expected '1249950000.5000000000', error '0.0000000000'
9 Correct 2 ms 1680 KB found '1249975000.0000000000', expected '1249975000.0000000000', error '0.0000000000'
10 Correct 0 ms 212 KB found '1.0000000000', expected '1.0000000000', error '0.0000000000'
11 Correct 0 ms 212 KB found '1225.0000000000', expected '1225.0000000000', error '0.0000000000'
12 Correct 9 ms 316 KB found '1023.0000000000', expected '1023.0000000000', error '0.0000000000'
13 Correct 9 ms 224 KB found '294.0000000000', expected '294.0000000000', error '0.0000000000'
14 Correct 7 ms 212 KB found '1087.0000000000', expected '1087.0000000000', error '0.0000000000'
15 Correct 1 ms 212 KB found '1.5000000000', expected '1.5000000000', error '0.0000000000'
16 Correct 6 ms 212 KB found '703.0000000000', expected '703.0000000000', error '0.0000000000'
17 Correct 1 ms 212 KB found '55.5000000000', expected '55.5000000000', error '0.0000000000'
18 Correct 2 ms 212 KB found '56.0000000000', expected '56.0000000000', error '0.0000000000'
19 Correct 2 ms 212 KB found '45.0000000000', expected '45.0000000000', error '0.0000000000'
20 Correct 2 ms 212 KB found '66.5000000000', expected '66.5000000000', error '0.0000000000'
21 Correct 2 ms 212 KB found '67.0000000000', expected '67.0000000000', error '0.0000000000'
22 Correct 2 ms 212 KB found '66.0000000000', expected '66.0000000000', error '0.0000000000'
23 Correct 2 ms 212 KB found '47.0000000000', expected '47.0000000000', error '0.0000000000'
24 Correct 1 ms 212 KB found '50.0000000000', expected '50.0000000000', error '0.0000000000'
25 Correct 2 ms 212 KB found '49.0000000000', expected '49.0000000000', error '0.0000000000'
26 Correct 2 ms 212 KB found '57.0000000000', expected '57.0000000000', error '0.0000000000'
27 Correct 1 ms 212 KB found '1.0000000000', expected '1.0000000000', error '0.0000000000'
28 Correct 0 ms 212 KB found '1225.0000000000', expected '1225.0000000000', error '0.0000000000'
29 Correct 10 ms 212 KB found '1023.0000000000', expected '1023.0000000000', error '0.0000000000'
30 Correct 7 ms 324 KB found '294.0000000000', expected '294.0000000000', error '0.0000000000'
31 Correct 7 ms 212 KB found '1087.0000000000', expected '1087.0000000000', error '0.0000000000'
32 Correct 1 ms 212 KB found '1.5000000000', expected '1.5000000000', error '0.0000000000'
33 Correct 7 ms 212 KB found '703.0000000000', expected '703.0000000000', error '0.0000000000'
34 Correct 1 ms 212 KB found '55.5000000000', expected '55.5000000000', error '0.0000000000'
35 Correct 2 ms 212 KB found '56.0000000000', expected '56.0000000000', error '0.0000000000'
36 Correct 2 ms 212 KB found '45.0000000000', expected '45.0000000000', error '0.0000000000'
37 Correct 2 ms 212 KB found '66.5000000000', expected '66.5000000000', error '0.0000000000'
38 Correct 2 ms 212 KB found '67.0000000000', expected '67.0000000000', error '0.0000000000'
39 Correct 2 ms 212 KB found '66.0000000000', expected '66.0000000000', error '0.0000000000'
40 Correct 2 ms 212 KB found '47.0000000000', expected '47.0000000000', error '0.0000000000'
41 Correct 2 ms 212 KB found '50.0000000000', expected '50.0000000000', error '0.0000000000'
42 Correct 2 ms 212 KB found '49.0000000000', expected '49.0000000000', error '0.0000000000'
43 Correct 2 ms 212 KB found '57.0000000000', expected '57.0000000000', error '0.0000000000'
44 Correct 1 ms 468 KB found '12497500.0000000000', expected '12497500.0000000000', error '0.0000000000'
45 Correct 1 ms 468 KB found '12495000.5000000000', expected '12495000.5000000000', error '0.0000000000'
46 Execution timed out 2088 ms 468 KB Time limit exceeded
47 Halted 0 ms 0 KB -