Submission #1080728

# Submission time Handle Problem Language Result Execution time Memory
1080728 2024-08-29T13:20:12 Z Tymond Boarding Passes (BOI22_passes) C++17
5 / 100
6 ms 604 KB
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
#define fi first
#define se second
#define vi vector<int>
#define vll vector<long long>
#define pii pair<int, int>
#define pll pair<long long, long long>
#define pb push_back
#define mp make_pair
#define eb emplace_back
#define all(x) (x).begin(), (x).end()
#define sz(x) (int)(x).size()
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
mt19937_64 rng64(chrono::steady_clock::now().time_since_epoch().count());
inline int rand(int l,int r){return uniform_int_distribution<int>(l, r)(rng);}
inline ll rand(ll l,ll r){return uniform_int_distribution<ll>(l, r)(rng64);}
#ifdef DEBUG
auto&operator<<(auto&o,pair<auto,auto>p){return o<<"("<<p.first<<", "<<p.second<<")";}
auto operator<<(auto&o,auto x)->decltype(x.end(),o){o<<"{";int i=0;for(auto e:x)o<<","+!i++<<e;return o<<"}";}
#define debug(X...)cerr<<"["#X"]: ",[](auto...$){((cerr<<$<<"; "),...)<<endl;}(X)
#else
#define debug(...){}
#endif

struct custom_hash {
    static uint64_t splitmix64(uint64_t x) {
        x += 0x9e3779b97f4a7c15;
        x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
        x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
        return x ^ (x >> 31);
    }

    size_t operator()(uint64_t x) const {
        static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
        return splitmix64(x + FIXED_RANDOM);
    }
};

int main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    
    string s;
    cin >> s;
    int n = sz(s);
    set<char> xd;
    for(auto ele : s){
        xd.insert(ele);
    }

    int g = sz(xd);
    vector<char> vec;
    for(auto ele : xd){
        vec.pb(ele);
    }

    if(g == 1){
        ld ans = (ld)(n / 2) * (n / 2 - 1) / 4 + (ld)(n - n / 2) * (n - n / 2 - 1) / 4;
        cout << fixed << setprecision(5) << ans << '\n';
        return 0;
    }

    vi p;
    for(int i = 0; i < g; i++){
        p.pb(i);
    }

    ld ans = 1e18;
    do{
        //cout << "----\n";
        ld akt = 0;
        int used = 0;
        vi ok(n, 0);
        for(int i = 0; i < g; i++){
            pii cnt = {0, 0};
            int onL = 0;
            for(int j = 0; j < n; j++){
                if(s[j]== vec[p[i]]){
                    if(onL <= used - onL){
                        cnt.fi++;
                        akt += onL;
                    }else{
                        akt += (used - onL);
                        cnt.se++;
                    }
                }else if(ok[j]){
                    onL++;
                }
            }

            for(int j = 0; j < n; j++){
                if(s[j]== vec[p[i]]){
                    used++;
                    ok[j] = 1;
                }
            }

            if(used == cnt.fi + cnt.se){
                int ile = cnt.fi + cnt.se;
                akt += ((ld)(ile / 2) * (ile / 2 - 1) / 4);
                akt += ((ld)(ile - ile / 2) * (ile - ile / 2 - 1) / 4);
                continue;
            }
           // cout << vec[p[i]] << ' ' << cnt.fi << ' ' << cnt.se << '\n';
            akt += ((ld)cnt.fi * (cnt.fi - 1) / 4);
            akt += ((ld)cnt.se * (cnt.se - 1) / 4);
           // cout << fixed << setprecision(8) << akt << '\n';
        }

        ans = min(ans, akt);
    }while(next_permutation(all(p)));

    cout << fixed << setprecision(8) << ans << '\n';

    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB found '100800.5000000000', expected '100800.5000000000', error '0.0000000000'
2 Correct 1 ms 348 KB found '0.0000000000', expected '0.0000000000', error '-0.0000000000'
3 Correct 0 ms 348 KB found '0.0000000000', expected '0.0000000000', error '-0.0000000000'
4 Correct 0 ms 348 KB found '1.0000000000', expected '1.0000000000', error '0.0000000000'
5 Correct 0 ms 464 KB found '124002.0000000000', expected '124002.0000000000', error '0.0000000000'
6 Correct 1 ms 604 KB found '772893586.0000000000', expected '772893586.0000000000', error '0.0000000000'
7 Correct 1 ms 604 KB found '1100977812.5000000000', expected '1100977812.5000000000', error '0.0000000000'
8 Correct 1 ms 604 KB found '1249950000.5000000000', expected '1249950000.5000000000', error '0.0000000000'
9 Correct 1 ms 604 KB found '1249975000.0000000000', expected '1249975000.0000000000', error '0.0000000000'
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB found '1.0000000000', expected '1.0000000000', error '0.0000000000'
2 Correct 1 ms 348 KB found '1225.0000000000', expected '1225.0000000000', error '0.0000000000'
3 Incorrect 6 ms 464 KB 1st numbers differ - expected: '1023.0000000000', found: '1023.5000000000', error = '0.0004887586'
4 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB found '1.0000000000', expected '1.0000000000', error '0.0000000000'
2 Correct 1 ms 348 KB found '1225.0000000000', expected '1225.0000000000', error '0.0000000000'
3 Incorrect 6 ms 464 KB 1st numbers differ - expected: '1023.0000000000', found: '1023.5000000000', error = '0.0004887586'
4 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB found '100800.5000000000', expected '100800.5000000000', error '0.0000000000'
2 Correct 1 ms 348 KB found '0.0000000000', expected '0.0000000000', error '-0.0000000000'
3 Correct 0 ms 348 KB found '0.0000000000', expected '0.0000000000', error '-0.0000000000'
4 Correct 0 ms 348 KB found '1.0000000000', expected '1.0000000000', error '0.0000000000'
5 Correct 0 ms 464 KB found '124002.0000000000', expected '124002.0000000000', error '0.0000000000'
6 Correct 1 ms 604 KB found '772893586.0000000000', expected '772893586.0000000000', error '0.0000000000'
7 Correct 1 ms 604 KB found '1100977812.5000000000', expected '1100977812.5000000000', error '0.0000000000'
8 Correct 1 ms 604 KB found '1249950000.5000000000', expected '1249950000.5000000000', error '0.0000000000'
9 Correct 1 ms 604 KB found '1249975000.0000000000', expected '1249975000.0000000000', error '0.0000000000'
10 Correct 0 ms 348 KB found '1.0000000000', expected '1.0000000000', error '0.0000000000'
11 Correct 1 ms 348 KB found '1225.0000000000', expected '1225.0000000000', error '0.0000000000'
12 Incorrect 6 ms 464 KB 1st numbers differ - expected: '1023.0000000000', found: '1023.5000000000', error = '0.0004887586'
13 Halted 0 ms 0 KB -