Submission #855566

#	Time	Username	Problem	Language	Result	Execution time	Memory
855566		MisterReaper	Seesaw (JOI22_seesaw)	C++17	34 / 100	2063 ms	17100 KiB

seesaw

//author: Ahmet Alp Orakci
#include <bits/stdc++.h>
using namespace std;
using i64 = long long;

#define ONLINE_JUDGE
void solve() {
    int n;
    cin >> n;

    vector <int> vec(n +1);
    for(int i = 1; i <= n; i++)
        cin >> vec[i];

    vector <double> can;
    for(int i = 1; i <= n; i++) {
        i64 sum = 0;
        for(int j = i; j <= n; j++) {
            sum += vec[j];
            can.emplace_back(double(1) * sum / (j - i +1));
        }
    }

    i64 top = accumulate(vec.begin(), vec.end(), 0LL);
    double ans = 1E18;
    for(double &mx : can) {
        i64 sum = top; 

        double mn = double(1) * sum / n;
        if(mn > mx) {
            continue;
        }

        int l = 1, r = n;
        while(l < r) {
            //cerr << l << " " << r << "\n";
            if(sum - vec[l] <= mx * (r - l)) {
                sum -= vec[l];
                l++;
            } else {
                sum -= vec[r];
                r--;
            }

            mn = min(mn, double(1) * sum / (r - l +1));
        }

        //cerr << "# " << mx << " " << mn << "\n";
        ans = min(ans, mx - mn);
        //cerr << "\n";
    }

    cout << setprecision(15) << ans;
    
    return;
}

signed main() {
    #ifndef ONLINE_JUDGE
        freopen(".in", "r", stdin);
        freopen(".out", "w", stdout);
    #endif

    ios_base::sync_with_stdio(false);
    cin.tie(NULL); cout.tie(NULL);

    int t = 1; //cin >> t;
    for(int i = 1; i <= t; i++) {
        solve();
    }

    return 0;
}

• Subtask 1: 1 / 1
• Subtask 2: 33 / 33
• Subtask 3: 0 / 33
• Subtask 4: 0 / 33