Submission #238034

#	Time	Username	Problem	Language	Result	Execution time	Memory
238034		DS007	Split the sequence (APIO14_sequence)	C++14	33 / 100	84 ms	131076 KiB

sequence

#include <bits/stdc++.h>
using namespace std;
#define int long long
#define evaluate(pt, x) (pt.first * x + pt.second)

const int N = 1e5, K = 205;
int a[N], s[N], p[K], n, k, dp[N][K], last[N][K];
vector<pair<int, int>> hull[K];

int find(int i, int j, int x) {
    for (; p[j] < (int)hull[j].size() - 1; p[j]++) {
        if (evaluate(hull[j][p[j]], x) > evaluate(hull[j][p[j] + 1], x))
            break;
    }
    last[i][j + 1] = p[j] + j;
    return evaluate(hull[j][p[j]], x);
}

int solveTestCase() {
    cin >> n >> k;
    for (int i = 0; i < n; i++) cin >> a[i];

    s[0] = a[0];
    for (int i = 1; i < n; i++) s[i] = s[i - 1] + a[i];
    hull[0].emplace_back(a[0], -a[0] * a[0]);

    for (int i = 1; i < n; i++) {
        for (int j = 1; j <= k && j <= i; j++) {
            dp[i][j] = find(i, j - 1, s[i]);
            hull[j - 1].emplace_back(s[i], dp[i][j - 1] - s[i] * s[i]);
        }
        hull[min(i, k)].emplace_back(s[i], dp[i][min(i, k)] - s[i] * s[i]);
    }

    cout << dp[n - 1][k] << "\n";
    for (int i = last[n - 1][k], j = k; j > 0; --j, i = last[i][j]) cout << i + 1 << " ";
}

signed main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    cout.tie(nullptr);

    int test = 1;
    // cin >> test;
    while (test--)
        solveTestCase();
}

Compilation message (stderr)

sequence.cpp: In function 'long long int solveTestCase()':
sequence.cpp:37:1: warning: no return statement in function returning non-void [-Wreturn-type]
 }
 ^

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