Submission #719505

#TimeUsernameProblemLanguageResultExecution timeMemory
719505Nhoksocqt1Gap (APIO16_gap)C++17
36.39 / 100
521 ms1884 KiB

#ifndef Nhoksocqt1
    #include "gap.h"
#endif // Nhoksocqt1
#include<bits/stdc++.h>
using namespace std;

#define inf 0x3f3f3f3f
#define sz(x) int((x).size())
#define fi first
#define se second
typedef long long ll;
typedef pair<int, int> ii;

template<class X, class Y>
	inline bool maximize(X &x, const Y &y) {return (x < y ? x = y, 1 : 0);}
template<class X, class Y>
	inline bool minimize(X &x, const Y &y) {return (x > y ? x = y, 1 : 0);}

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
int Random(int l, int r) {
    return uniform_int_distribution<int>(l, r)(rng);
}

const int MAXN = 100005;

ll a[MAXN];
int nArr;

#ifdef Nhoksocqt1

ll _A[MAXN], M;

void MinMax(ll s, ll t, ll *a, ll *b) {
    int l(1), r(nArr), optL(0), optR(-1);
    while(l <= r) {
        int mid = (l + r) >> 1;
        if(_A[mid] >= s) {
            optL = mid;
            r = mid - 1;
        } else {
            l = mid + 1;
        }
    }

    l = 1, r = nArr;
    while(l <= r) {
        int mid = (l + r) >> 1;
        if(_A[mid] <= t) {
            optR = mid;
            l = mid + 1;
        } else {
            r = mid - 1;
        }
    }

    assert(optL <= optR);
    *a = _A[optL], *b = _A[optR];
    M += optR - optL + 1;
}

#endif // Nhoksocqt1

bool check(ll dis) {
    ll last(a[1]);
    while(last < a[nArr]) {
        ll pa, pb;
        MinMax(last, last + dis - 1, &pa, &pb);
        //cout << last << ' ' << last + dis - 1 << ' ' << pa << ' ' << pb << '\n';
        if(pa == pb)
            return true;

        last = pb;
    }

    return false;
}

ll findGap(int T, int N) {
    nArr = N;
    MinMax(0, ll(1e18), &a[1], &a[nArr]);
    if(T == 1) {
        for (int i = 2; i <= (nArr + 1) / 2; ++i)
            MinMax(a[i - 1] + 1, a[nArr - i + 2] - 1, &a[i], &a[nArr - i + 1]);

        ll res(0);
        for (int i = 1; i < nArr; ++i)
            res = max(res, a[i + 1] - a[i]);

        return res;
    }

    ll l(1), r(1e18), answer(0);
    while(l <= r) {
        ll mid = (l + r) >> 1;
        if(check(mid)) {
            answer = mid;
            l = mid + 1;
        } else {
            r = mid - 1;
        }
    }

    //cout << M << '\n';
    return answer;
}

#ifdef Nhoksocqt1

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

    freopen("GAP.inp", "r", stdin);
    freopen("GAP.out", "w", stdout);

    int T, N;
    cin >> T >> N;
    for (int i = 1; i <= N; ++i) {
        cin >> _A[i];
        _A[i] = _A[i - 1] + Random(1, 1e9); cout << _A[i] << " \n"[i == N];
    }


    M = 0;
    cout << findGap(T, N);
    return 0;
}

#endif // Nhoksocqt1
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