Submission #1134563

#TimeUsernameProblemLanguageResultExecution timeMemory
1134563steveonalexLet's Win the Election (JOI22_ho_t3)C++20
100 / 100
1796 ms4360 KiB
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef unsigned long long ull;

#define MASK(i) (1LL << (i))
#define GETBIT(mask, i) (((mask) >> (i)) & 1)
#define ALL(v) (v).begin(), (v).end()

ll max(ll a, ll b){return (a > b) ? a : b;}
ll min(ll a, ll b){return (a < b) ? a : b;}

ll gcd(ll a, ll b){return __gcd(a, b);}
ll LASTBIT(ll mask){return (mask) & (-mask);}
int pop_cnt(ll mask){return __builtin_popcountll(mask);}
int ctz(ll mask){return __builtin_ctzll(mask);}
int logOf(ll mask){return __lg(mask);}

mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
ll rngesus(ll l, ll r){return l + (ull) rng() % (r - l + 1);}

template <class T1, class T2>
    bool maximize(T1 &a, T2 b){
        if (a < b) {a = b; return true;}
        return false;
    }

template <class T1, class T2>
    bool minimize(T1 &a, T2 b){
        if (a > b) {a = b; return true;}
        return false;
    }

template <class T>
    void printArr(T& container, string separator = " ", string finish = "\n"){
        for(auto item: container) cout << item << separator;
        cout << finish;
    }


template <class T>
    void remove_dup(vector<T> &a){
        sort(ALL(a));
        a.resize(unique(ALL(a)) - a.begin());
    }

const int INF = 1e9 + 69;

int n, k;
vector<pair<int, int>> a;

pair<double, int> alien_shyt(int m, int lambda){
    pair<double, int> dp[n+1][m+1];
    for(int i = 0; i <= n; ++i) for(int j = 0; j <= m; ++j) dp[i][j] = {INF, 0};
    dp[0][0] = {0, 0};
    for(int i = 0; i < n; ++i) for(int j = 0; j <= m; ++j){
        pair<double, int> cur = dp[i][j];
        if (j < m){
            pair<double, int> _cur = make_pair(cur.first + (double)a[i].second / (j+1), cur.second);
            minimize(dp[i+1][j+1], _cur);
        }

        if (a[i].first <= lambda){
            pair<double, int> _cur = make_pair(cur.first + (double)(a[i].first - lambda) / (m+1), cur.second - 1);
            minimize(dp[i+1][j], _cur);
        }
        else{
            minimize(dp[i+1][j], cur);
        }
    }
    return make_pair(dp[n][m].first, -dp[n][m].second);
}

void solve(){
    cin >> n >> k;
    a.resize(n);
    for(int i = 0; i < n; ++i) {
        cin >> a[i].first >> a[i].second;
        if (a[i].second == -1) a[i].second = 1e6;
    }
    sort(ALL(a), [](pair<int, int> x, pair<int, int> y){return x.second < y.second;});

    double ans = 1e18;

    int r = 1000;
    for(int i = 0; i < k; ++i){ // we will use i helpers
        while(r > 0){
            pair<double, int> cuh = alien_shyt(i, r-1);
            if (cuh.second < k - i) break;
            r--;
        }
        pair<double, int> cuh = alien_shyt(i, r);
        minimize(ans, cuh.first + (double)(r * (k - i)) / (i + 1));
    }
    cout << fixed << setprecision(10) << ans << "\n";
}

int main(void){
    ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);

    clock_t start = clock();

    solve();

    cerr << "Time elapsed: " << clock() - start << "ms!\n";
    return 0;
}
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