Submission #654602

# Submission time Handle Problem Language Result Execution time Memory
654602 2022-10-31T21:00:40 Z Lobo Boarding Passes (BOI22_passes) C++17
60 / 100
227 ms 161024 KB
#include<bits/stdc++.h>
using namespace std;
const long long inf = (long long) 1e18 + 10;
const int inf1 = (int) 1e9 + 10;
#define int long long
#define dbl long double
#define endl '\n'
#define sc second
#define fr first
#define mp make_pair
#define pb push_back
#define all(x) x.begin(), x.end()

const int maxn1 = 1e5+10;
const int maxn = 1e4+10;
const int maxg = 11;

int n, a[maxn1];
dbl pf[(1<<maxg)][maxn], dp[(1<<maxg)];
vector<int> pos[maxg];

void solve() {
    string s; cin >> s;
    n = s.size();
    vector<char> cc;
    for(auto x : s) cc.pb(x);
    sort(all(cc));
    cc.erase(unique(all(cc)),cc.end());
    for(int i = 1; i <= n; i++) {
        a[i] = lower_bound(all(cc),s[i-1])-cc.begin();
        pos[a[i]].pb(i);
    }
    int g = cc.size();
    if(g == 1) {
        dbl ans = 0;
        for(int i = 1; i <= n; i++) ans+= min((dbl) (i-1)/2,(dbl) (n-i)/2);
        cout.setf(ios::fixed);
        cout.precision(10);
        cout << ans << endl;
        return;
    }

    for(int mask = 1; mask < (1<<g); mask++) {
        pf[mask][0] = 0;
        for(int i = 1; i <= n; i++) {
            pf[mask][i] = pf[mask][i-1];
            if((1<<a[i])&mask) pf[mask][i]++;
        }

        dp[mask] = inf;
        for(int i = 0; i < g; i++) {
            if(((1<<i)&mask) == 0) continue;
            int mask1 = mask-(1<<i);
            dbl ans1 = dp[mask1];
            int sz = pos[i].size();
            for(int j = 1; j <= pos[i].size(); j++) {
                int x = pos[i][j-1];
                ans1+= min(pf[mask1][x]+((dbl) j-1)/2, pf[mask1][n]-pf[mask1][x]+((dbl) sz-j)/2);
                // cout << " " << min(pf[mask1][x]+((dbl) j-1)/2, pf[mask1][n]-pf[mask1][x]+((dbl) pos[i].size()-j)/2) << endl;
            }
            dp[mask] = min(dp[mask],ans1);
            // cout << mask << " " << i << " = " << ans1 << " " << pf[mask1][1] << endl;
        }
    }
    cout.setf(ios::fixed);
    cout.precision(10);
    cout << dp[(1<<g)-1] << endl;
}

int32_t main() {
    ios::sync_with_stdio(false); cin.tie(0);

    // freopen("in.in", "r", stdin);
    // freopen("out.out", "w", stdout);
    int tt = 1;
    // cin >> tt;
    while(tt--) {
        solve();
    }

}

Compilation message

passes.cpp: In function 'void solve()':
passes.cpp:56:30: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   56 |             for(int j = 1; j <= pos[i].size(); j++) {
      |                            ~~^~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 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 1 ms 212 KB found '1.0000000000', expected '1.0000000000', error '0.0000000000'
5 Correct 0 ms 340 KB found '124002.0000000000', expected '124002.0000000000', error '0.0000000000'
6 Correct 4 ms 2152 KB found '772893586.0000000000', expected '772893586.0000000000', error '0.0000000000'
7 Correct 4 ms 2344 KB found '1100977812.5000000000', expected '1100977812.5000000000', error '0.0000000000'
8 Correct 4 ms 2376 KB found '1249950000.5000000000', expected '1249950000.5000000000', error '0.0000000000'
9 Correct 4 ms 2380 KB found '1249975000.0000000000', expected '1249975000.0000000000', error '0.0000000000'
# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB found '1.0000000000', expected '1.0000000000', error '0.0000000000'
2 Correct 1 ms 340 KB found '1225.0000000000', expected '1225.0000000000', error '0.0000000000'
3 Correct 2 ms 980 KB found '1023.0000000000', expected '1023.0000000000', error '0.0000000000'
4 Correct 1 ms 980 KB found '294.0000000000', expected '294.0000000000', error '0.0000000000'
5 Correct 1 ms 980 KB found '1087.0000000000', expected '1087.0000000000', error '0.0000000000'
6 Correct 1 ms 852 KB found '1.5000000000', expected '1.5000000000', error '0.0000000000'
7 Correct 1 ms 980 KB found '703.0000000000', expected '703.0000000000', error '0.0000000000'
8 Correct 1 ms 596 KB found '55.5000000000', expected '55.5000000000', error '0.0000000000'
9 Correct 1 ms 852 KB found '56.0000000000', expected '56.0000000000', error '0.0000000000'
10 Correct 1 ms 852 KB found '45.0000000000', expected '45.0000000000', error '0.0000000000'
11 Correct 1 ms 852 KB found '66.5000000000', expected '66.5000000000', error '0.0000000000'
12 Correct 1 ms 852 KB found '67.0000000000', expected '67.0000000000', error '0.0000000000'
13 Correct 1 ms 852 KB found '66.0000000000', expected '66.0000000000', error '0.0000000000'
14 Correct 1 ms 852 KB found '47.0000000000', expected '47.0000000000', error '0.0000000000'
15 Correct 1 ms 852 KB found '50.0000000000', expected '50.0000000000', error '0.0000000000'
16 Correct 1 ms 852 KB found '49.0000000000', expected '49.0000000000', error '0.0000000000'
17 Correct 1 ms 852 KB found '57.0000000000', expected '57.0000000000', error '0.0000000000'
# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB found '1.0000000000', expected '1.0000000000', error '0.0000000000'
2 Correct 1 ms 340 KB found '1225.0000000000', expected '1225.0000000000', error '0.0000000000'
3 Correct 2 ms 980 KB found '1023.0000000000', expected '1023.0000000000', error '0.0000000000'
4 Correct 1 ms 980 KB found '294.0000000000', expected '294.0000000000', error '0.0000000000'
5 Correct 1 ms 980 KB found '1087.0000000000', expected '1087.0000000000', error '0.0000000000'
6 Correct 1 ms 852 KB found '1.5000000000', expected '1.5000000000', error '0.0000000000'
7 Correct 1 ms 980 KB found '703.0000000000', expected '703.0000000000', error '0.0000000000'
8 Correct 1 ms 596 KB found '55.5000000000', expected '55.5000000000', error '0.0000000000'
9 Correct 1 ms 852 KB found '56.0000000000', expected '56.0000000000', error '0.0000000000'
10 Correct 1 ms 852 KB found '45.0000000000', expected '45.0000000000', error '0.0000000000'
11 Correct 1 ms 852 KB found '66.5000000000', expected '66.5000000000', error '0.0000000000'
12 Correct 1 ms 852 KB found '67.0000000000', expected '67.0000000000', error '0.0000000000'
13 Correct 1 ms 852 KB found '66.0000000000', expected '66.0000000000', error '0.0000000000'
14 Correct 1 ms 852 KB found '47.0000000000', expected '47.0000000000', error '0.0000000000'
15 Correct 1 ms 852 KB found '50.0000000000', expected '50.0000000000', error '0.0000000000'
16 Correct 1 ms 852 KB found '49.0000000000', expected '49.0000000000', error '0.0000000000'
17 Correct 1 ms 852 KB found '57.0000000000', expected '57.0000000000', error '0.0000000000'
18 Correct 1 ms 340 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 1 ms 980 KB found '1023.0000000000', expected '1023.0000000000', error '0.0000000000'
21 Correct 1 ms 980 KB found '294.0000000000', expected '294.0000000000', error '0.0000000000'
22 Correct 1 ms 1060 KB found '1087.0000000000', expected '1087.0000000000', error '0.0000000000'
23 Correct 1 ms 852 KB found '1.5000000000', expected '1.5000000000', error '0.0000000000'
24 Correct 1 ms 980 KB found '703.0000000000', expected '703.0000000000', error '0.0000000000'
25 Correct 1 ms 596 KB found '55.5000000000', expected '55.5000000000', error '0.0000000000'
26 Correct 2 ms 852 KB found '56.0000000000', expected '56.0000000000', error '0.0000000000'
27 Correct 1 ms 852 KB found '45.0000000000', expected '45.0000000000', error '0.0000000000'
28 Correct 1 ms 852 KB found '66.5000000000', expected '66.5000000000', error '0.0000000000'
29 Correct 1 ms 852 KB found '67.0000000000', expected '67.0000000000', error '0.0000000000'
30 Correct 1 ms 852 KB found '66.0000000000', expected '66.0000000000', error '0.0000000000'
31 Correct 1 ms 852 KB found '47.0000000000', expected '47.0000000000', error '0.0000000000'
32 Correct 1 ms 852 KB found '50.0000000000', expected '50.0000000000', error '0.0000000000'
33 Correct 1 ms 852 KB found '49.0000000000', expected '49.0000000000', error '0.0000000000'
34 Correct 1 ms 852 KB found '57.0000000000', expected '57.0000000000', error '0.0000000000'
35 Correct 1 ms 596 KB found '12497500.0000000000', expected '12497500.0000000000', error '0.0000000000'
36 Correct 1 ms 596 KB found '12495000.5000000000', expected '12495000.5000000000', error '0.0000000000'
37 Correct 202 ms 160812 KB found '12223392.0000000000', expected '12223392.0000000000', error '0.0000000000'
38 Correct 175 ms 160832 KB found '2372500.0000000000', expected '2372500.0000000000', error '0.0000000000'
39 Correct 150 ms 160952 KB found '12475017.5000000000', expected '12475017.5000000000', error '0.0000000000'
40 Correct 155 ms 160928 KB found '10655706.0000000000', expected '10655706.0000000000', error '0.0000000000'
41 Correct 227 ms 161016 KB found '11977895.5000000000', expected '11977895.5000000000', error '0.0000000000'
42 Correct 190 ms 161024 KB found '11977865.0000000000', expected '11977865.0000000000', error '0.0000000000'
43 Correct 184 ms 160812 KB found '11977907.5000000000', expected '11977907.5000000000', error '0.0000000000'
44 Correct 189 ms 160844 KB found '11977808.0000000000', expected '11977808.0000000000', error '0.0000000000'
45 Correct 193 ms 160840 KB found '11977791.0000000000', expected '11977791.0000000000', error '0.0000000000'
46 Correct 192 ms 160780 KB found '11977871.5000000000', expected '11977871.5000000000', error '0.0000000000'
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 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 1 ms 212 KB found '1.0000000000', expected '1.0000000000', error '0.0000000000'
5 Correct 0 ms 340 KB found '124002.0000000000', expected '124002.0000000000', error '0.0000000000'
6 Correct 4 ms 2152 KB found '772893586.0000000000', expected '772893586.0000000000', error '0.0000000000'
7 Correct 4 ms 2344 KB found '1100977812.5000000000', expected '1100977812.5000000000', error '0.0000000000'
8 Correct 4 ms 2376 KB found '1249950000.5000000000', expected '1249950000.5000000000', error '0.0000000000'
9 Correct 4 ms 2380 KB found '1249975000.0000000000', expected '1249975000.0000000000', error '0.0000000000'
10 Correct 0 ms 340 KB found '1.0000000000', expected '1.0000000000', error '0.0000000000'
11 Correct 1 ms 340 KB found '1225.0000000000', expected '1225.0000000000', error '0.0000000000'
12 Correct 2 ms 980 KB found '1023.0000000000', expected '1023.0000000000', error '0.0000000000'
13 Correct 1 ms 980 KB found '294.0000000000', expected '294.0000000000', error '0.0000000000'
14 Correct 1 ms 980 KB found '1087.0000000000', expected '1087.0000000000', error '0.0000000000'
15 Correct 1 ms 852 KB found '1.5000000000', expected '1.5000000000', error '0.0000000000'
16 Correct 1 ms 980 KB found '703.0000000000', expected '703.0000000000', error '0.0000000000'
17 Correct 1 ms 596 KB found '55.5000000000', expected '55.5000000000', error '0.0000000000'
18 Correct 1 ms 852 KB found '56.0000000000', expected '56.0000000000', error '0.0000000000'
19 Correct 1 ms 852 KB found '45.0000000000', expected '45.0000000000', error '0.0000000000'
20 Correct 1 ms 852 KB found '66.5000000000', expected '66.5000000000', error '0.0000000000'
21 Correct 1 ms 852 KB found '67.0000000000', expected '67.0000000000', error '0.0000000000'
22 Correct 1 ms 852 KB found '66.0000000000', expected '66.0000000000', error '0.0000000000'
23 Correct 1 ms 852 KB found '47.0000000000', expected '47.0000000000', error '0.0000000000'
24 Correct 1 ms 852 KB found '50.0000000000', expected '50.0000000000', error '0.0000000000'
25 Correct 1 ms 852 KB found '49.0000000000', expected '49.0000000000', error '0.0000000000'
26 Correct 1 ms 852 KB found '57.0000000000', expected '57.0000000000', error '0.0000000000'
27 Correct 1 ms 340 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 1 ms 980 KB found '1023.0000000000', expected '1023.0000000000', error '0.0000000000'
30 Correct 1 ms 980 KB found '294.0000000000', expected '294.0000000000', error '0.0000000000'
31 Correct 1 ms 1060 KB found '1087.0000000000', expected '1087.0000000000', error '0.0000000000'
32 Correct 1 ms 852 KB found '1.5000000000', expected '1.5000000000', error '0.0000000000'
33 Correct 1 ms 980 KB found '703.0000000000', expected '703.0000000000', error '0.0000000000'
34 Correct 1 ms 596 KB found '55.5000000000', expected '55.5000000000', error '0.0000000000'
35 Correct 2 ms 852 KB found '56.0000000000', expected '56.0000000000', error '0.0000000000'
36 Correct 1 ms 852 KB found '45.0000000000', expected '45.0000000000', error '0.0000000000'
37 Correct 1 ms 852 KB found '66.5000000000', expected '66.5000000000', error '0.0000000000'
38 Correct 1 ms 852 KB found '67.0000000000', expected '67.0000000000', error '0.0000000000'
39 Correct 1 ms 852 KB found '66.0000000000', expected '66.0000000000', error '0.0000000000'
40 Correct 1 ms 852 KB found '47.0000000000', expected '47.0000000000', error '0.0000000000'
41 Correct 1 ms 852 KB found '50.0000000000', expected '50.0000000000', error '0.0000000000'
42 Correct 1 ms 852 KB found '49.0000000000', expected '49.0000000000', error '0.0000000000'
43 Correct 1 ms 852 KB found '57.0000000000', expected '57.0000000000', error '0.0000000000'
44 Correct 1 ms 596 KB found '12497500.0000000000', expected '12497500.0000000000', error '0.0000000000'
45 Correct 1 ms 596 KB found '12495000.5000000000', expected '12495000.5000000000', error '0.0000000000'
46 Correct 202 ms 160812 KB found '12223392.0000000000', expected '12223392.0000000000', error '0.0000000000'
47 Correct 175 ms 160832 KB found '2372500.0000000000', expected '2372500.0000000000', error '0.0000000000'
48 Correct 150 ms 160952 KB found '12475017.5000000000', expected '12475017.5000000000', error '0.0000000000'
49 Correct 155 ms 160928 KB found '10655706.0000000000', expected '10655706.0000000000', error '0.0000000000'
50 Correct 227 ms 161016 KB found '11977895.5000000000', expected '11977895.5000000000', error '0.0000000000'
51 Correct 190 ms 161024 KB found '11977865.0000000000', expected '11977865.0000000000', error '0.0000000000'
52 Correct 184 ms 160812 KB found '11977907.5000000000', expected '11977907.5000000000', error '0.0000000000'
53 Correct 189 ms 160844 KB found '11977808.0000000000', expected '11977808.0000000000', error '0.0000000000'
54 Correct 193 ms 160840 KB found '11977791.0000000000', expected '11977791.0000000000', error '0.0000000000'
55 Correct 192 ms 160780 KB found '11977871.5000000000', expected '11977871.5000000000', error '0.0000000000'
56 Correct 1 ms 468 KB found '7.5000000000', expected '7.5000000000', error '0.0000000000'
57 Runtime error 35 ms 20464 KB Execution killed with signal 11
58 Halted 0 ms 0 KB -