Submission #876295

#	Time	Username	Problem	Language	Result	Execution time	Memory
876295		Beerus13	Split the sequence (APIO14_sequence)	C++14	50 / 100	228 ms	131072 KiB

sequence

#include <bits/stdc++.h>
using namespace std;
#define ll long long
const int ar = 1e5 + 5;

int n, k;
ll sum[ar], pos[205][ar], dp[205][ar];

void sub1234() {
    for(int i = 1; i <= k; ++i) {
        for(int j = i; j <= n; ++j) {
            for(int h = i - 1; h < j; ++h) {
                dp[i][j] = max(dp[i][j], dp[i - 1][h] + (sum[j] - sum[h]) * (sum[n] - sum[j]));
                if(dp[i][j] == dp[i - 1][h] + (sum[j] - sum[h]) * (sum[n] - sum[j])) pos[i][j] = h;
            }
        }
    }
    ll mx = -1, ind = 0;
    for(int i = k; i <= n; ++i) {
        if(dp[k][i] > mx) mx = dp[k][i], ind = i;
    }
    cout << mx << '\n';
    for(int i = k; i; --i) {
        cout << ind << ' ';
        ind = pos[i][ind];
    }
    exit(0);
}

void cal(int l, int r, int nl, int nr, int cur) {
    if(l > r) return;
    int m = l + r >> 1;
    for(int i = nl; i <= min(m, nr); ++i) {
        if(dp[cur][m] < dp[cur - 1][i] + (sum[m] - sum[i]) * (sum[n] - sum[m])) {
            dp[cur][m] = dp[cur - 1][i] + (sum[m] - sum[i]) * (sum[n] - sum[m]);
            pos[cur][m] = i;
        }
    }
    cal(l, m - 1, nl, pos[cur][m], cur);
    cal(m + 1, r, pos[cur][m], nr, cur);
}

void sub5() {
    for(int i = 1; i <= k; ++i) cal(0, n, 0, n, i);
    ll mx = -1, ind = 0;
    for(int i = k; i <= n; ++i) {
        if(dp[k][i] > mx) mx = dp[k][i], ind = i;
    }
    cout << mx << '\n';
    for(int i = k; i; --i) {
        cout << ind << ' ';
        ind = pos[i][ind];
    }
    exit(0);
}

int main() {
    ios::sync_with_stdio(0);
    cin.tie(0); cout.tie(0);
    cin >> n >> k;
    for(int i = 1; i <= n; ++i) {
        int x; cin >> x;
         sum[i] = sum[i - 1] + x;
    }
    if(n <= 1000) sub1234();
    sub5();
}

Compilation message (stderr)

sequence.cpp: In function 'void cal(int, int, int, int, int)':
sequence.cpp:32:15: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   32 |     int m = l + r >> 1;
      |             ~~^~~

• Subtask 1: 11 / 11
• Subtask 2: 11 / 11
• Subtask 3: 11 / 11
• Subtask 4: 17 / 17
• Subtask 5: 0 / 21
• Subtask 6: 0 / 29