Submission #846698

#TimeUsernameProblemLanguageResultExecution timeMemory
846698BamshooTFeast (NOI19_feast)C++14
100 / 100
106 ms30808 KiB
#include <iostream>
#include <algorithm>
#include <vector>
#include <math.h>
#include <cstdlib>

#define ll long long
#define FOR(i, a, b) for (int i = (a); i <= (b); ++i)
#define inf -1e18
#define fi first
#define se second

using namespace std;

typedef pair <ll, int> li;

const int N = 3e5 + 9, M = 2e3 + 9;
int n, k;
ll a[N], pre[N], dp[M][M];

void sub1(){

    for (int i = 1; i <= k; ++i){
        ll cur = 0;
        for (int j = 1; j <= n; ++j) {
            dp[i][j] = max(dp[i][j-1], cur + pre[j]);
            cur = max(cur, dp[i-1][j] - pre[j]);
        }
    }
    cout << dp[k][n];
}

pair<ll, int> f[N];

void maximize(li &a, li b){
    if (a.fi < b.fi) a = b;
    if (a.fi == b.fi && a.se < b.se) a = b;
}

li calc(ll cost){
    li best = {0, 0};
    for (int i = 1; i <= n; ++i) {
        f[i] = f[i-1];
        maximize(f[i], {pre[i] + best.fi - cost , best.se + 1});
        maximize(best, {f[i].fi - pre[i], f[i].se});
    }
    return f[n];
}

void sub2(){
    ll lo = -1e15, hi = 1e15, ans = 0;
    while (lo <= hi) {
        ll mid = lo + hi >> 1;
        li tmp = calc(mid);
        if (tmp.se <= k) {
            ans = max(ans, tmp.fi + tmp.se*mid);
            hi = mid - 1;
        } else lo = mid + 1;
    }
    cout << ans;
}

int main(){
    ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
  //  freopen("nhap.inp", "r", stdin);
   // freopen("xuat.out", "w", stdout);
    cin >> n >> k;
    FOR(i, 1, n) {
        cin >> a[i];
        pre[i] = pre[i-1] + a[i];
    }
    if (max(k, n) <= 2000) sub1(); else
    sub2();
    return 0;
}

Compilation message (stderr)

feast.cpp: In function 'void sub2()':
feast.cpp:53:21: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   53 |         ll mid = lo + hi >> 1;
      |                  ~~~^~~~
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