Submission #124111

#	Time	Username	Problem	Language	Result	Execution time	Memory
124111		jakob_nogler	Split the sequence (APIO14_sequence)	C++14	33 / 100	276 ms	131072 KiB

sequence

#include <bits/stdc++.h>

using namespace std;

typedef long long ll;

const int N = 100005, K = 205;

ll dp[K][N], sum[N], val[N], m[N], q[N], tot = 0;
int nxt[K][N];

ll get_val(int x, int l, int idx){
    return m[x] * m[l] - m[l] * m[l] + dp[idx - 1][l];
}

double get_in(int a, int b, int idx){
    return (double) 1.0 * (m[a] * m[a] - dp[idx - 1][a] - m[b] * m[b] + dp[idx - 1][b]) / (m[b] - m[a]);
}

int main(){
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    int n, k;
    cin >> n >> k;

    for(int i = 0; i < n; i++){
        cin >> val[i];
        tot += val[i];
        sum[i] += val[i];
        sum[i + 1] += sum[i];
    }

    for(int i = 0; i < n; i++) m[i] = tot - (i == 0 ? 0 : sum[i - 1]);

    for(int i = 1; i <= k; i++){
        val[n - 1] = n - 1;
        dp[i][n - 1] = 0;
        int idx = n - 1, nn = n - 1;
        for(int j = n - 2; j >= 0; j--){
            while(idx > nn && get_val(j, val[idx], i) <= get_val(j, val[idx - 1], i)) idx--;
            nxt[i][j] = val[idx];
            dp[i][j] = get_val(j, val[idx], i);
            while(idx > nn && get_in(val[nn], val[nn + 1], i) <= get_in(j, val[nn], i)) nn++;
            val[--nn] = j;
        }
    }

    cout << dp[k][0] << endl;
    int curr = nxt[k][0];
    for(int i = k - 1; i >= 0; i--){
        cout << curr << " ";
        curr = nxt[i][curr];
    }
    cout << endl;
}

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