Submission #23303

#	Time	Username	Problem	Language	Result	Execution time	Memory
23303		Nurlykhan	Split the sequence (APIO14_sequence)	C++14	28 / 100	189 ms	4412 KiB

sequence

#include <bits/stdc++.h>

#define pii pair<int, int>
#define f first
#define s second
#define pb push_back
#define mp make_pair
#define ll long long 
#define ld long double
#define sz(v) int(v.size())
#define all(v) v.begin(), v.end()

using namespace std;

const int N = (int) 1e3 + 7;
const int M = (int) 2e6 + 7;
const int K = 202;
const ll LINF = (ll) 1e18;
const int INF = (int) 1e9 + 7;
const double EPS = (double) 1e-9;
ll dp[N][K], a[N];
int p[N][K];
int n, k;

ll sum(int l, int r) {
    return a[r] - a[l - 1];
}

int main() {
    #define fn "balls"
    #ifdef witch
        freopen("input.txt", "r", stdin);
        freopen("output.txt", "w", stdout);
    #else
//        freopen(fn".in", "r", stdin);
//        freopen(fn".out", "w", stdout);
    #endif
    cin >> n >> k;
    for (int i = 1; i <= n; i++) {
        cin >> a[i];
        a[i] += a[i - 1];
    }
    for (int i = 1; i <= n; i++) {
        dp[i][1] = sum(1, i - 1) * sum(i, n);
    }
    for (int i = 2; i <= k; i++) {
        for (int j = 1; j <= n; j++) {
            for (int t = 1; t < j; t++) {
                if (dp[j][i] < dp[t][i - 1] + sum(j, n) * sum(t, j - 1)) {
                    dp[j][i] = dp[t][i - 1] + sum(j, n) * sum(t, j - 1);
                    p[j][i] = t;
                }
            }
        }
    }
    int j = 1;
    for (int i = 1; i <= n; i++) {
        if (dp[j][k] < dp[i][k]) j = i;
    }
    cout << dp[j][k] << endl;
    vector<int> ans;
    while (k > 0) {
        ans.pb(j);
        j = p[j][k];
        k--;
    }
    reverse(all(ans));
    for (auto it : ans) cout << it - 1 << " ";
    return 0;
}

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