Submission #1316970

#TimeUsernameProblemLanguageResultExecution timeMemory
1316970pobeWatching (JOI13_watching)C++20
100 / 100
637 ms30348 KiB
#include <bits/stdc++.h>

#define int long long
using namespace std;

ostream &operator <<(ostream &out, vector <int> val) {
    for (auto v : val) {
        out << v  << ' ';
    }
    return out;
}
bool check(vector <int> &val, int w, int n, int p, int q) {
    vector <vector <int>> dp(n + 1, vector <int> (p + 1, 2e9));
    dp[0][0] = 0;
    int ind1 = 0, ind2 = 0;
    for (int i = 0; i < n; ++i) {
        while (val[i] - val[ind1] + 1 > w) {
            ++ind1;
        }
        for (int j = 1; j <= p; ++j) {
            dp[i + 1][j] = min(dp[i + 1][j], dp[ind1][j - 1]);
        }
        while (val[i] - val[ind2] + 1 > 2 * w) {
            ++ind2;
        }
        for (int j = 0; j <= p; ++j) {
            dp[i + 1][j] = min(dp[i + 1][j], dp[ind2][j] + 1);
        }
    }
    return *min_element(dp.back().begin(), dp.back().end()) <= q;
}
void solve() {
    int n, p, q;
    cin >> n >> p >> q;
    vector <int> val(n);
    for (int i = 0; i < n; ++i) {
        cin >> val[i];
    }
    if (p + q >= n) {
        cout << 1 << '\n';
        return;
    }
    sort(val.begin(), val.end());
    int l = 0, r = 2e9;
    while (r - l > 1) {
        int med = (l + r) / 2;
        if (check(val, med, n, p, q)) {
            r = med;
        } else {
            l = med;
        }
    }
    cout << r << '\n';
}
signed main() {
    cin.tie(0);
    ios::sync_with_stdio(false);
    int t = 1;
//    cin >> t;
    for (int i = 0; i < t; ++i) {
        solve();
    }
}
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