제출 #603997

#제출 시각아이디문제언어결과실행 시간메모리
603997OzyBigger segments (IZhO19_segments)C++17
13 / 100
1 ms456 KiB
#include <iostream>
#include <bits/stdc++.h>
using namespace std;
#define lli long long int
#define rep(i,a,b) for (int i = (a); i <= (b);i++)
#define repa(i,a,b) for (int i = (a); i >= (b);i--)
#define debug(a) cout << #a << " = " << a << endl
#define debugsl(a) cout << #a << " = " << a << ", "

#define MAX 500000
#define val first
#define res second
#define INF 1000000000000

lli n,a;
lli prim[MAX+2],ult[MAX+2],res[MAX+2],arr[MAX+2],acu[MAX+2];
pair<lli,lli> dp[MAX+2];

lli binaria(lli f, lli busco) {
    lli fin = ult[busco - 1];
    lli ini = prim[busco - 1];
    lli a,b,mitad,last = -1;

    while (ini <= fin) {
        mitad = (ini+fin)/2;

        a = dp[mitad].first;

        b = acu[f] - acu[mitad];

        if (a <= b) {
            last = mitad;
            ini = mitad+1;
        }
        else fin = mitad-1;
    }
    return last;
}

int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);

    cin >> n;
    rep(i,1,n) {
        cin >> arr[i];
        acu[i] = arr[i] + acu[i-1];
    }

    fill(prim, prim + 1 + n, n);
    dp[1] = {arr[1],INF};
    res[1] = 1;
    prim[1] = ult[1] = 1;

    //ciudado con el second 0
    rep(i,2,n) {
        dp[i].first = dp[i - 1].first + arr[i];
        res[i] = res[i - 1];
        repa(g, res[i - 1] + 1, 2){
            a = binaria(i, g);
            if (a != -1){
                res[i] = max(res[i], (lli)g);
                dp[i].first = min(dp[i].first, acu[i] - acu[a]);
                prim[g] = min(prim[g], (lli)i);
            }
        }
        ult[res[i]] = i;
    }

    cout << res[n];
}
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