Submission #5653

#	Time	Username	Problem	Language	Result	Execution time	Memory
5653		tncks0121	Split the sequence (APIO14_sequence)	C++98	100 / 100	744 ms	84904 KiB

sequence

#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <math.h>
#include <limits.h>
#include <bits/stdc++.h>
#include <memory.h>

typedef long long ll;
typedef unsigned long long llu;
typedef double lf;
typedef long double llf;
typedef unsigned int uint;

using namespace std;

const int N_ = 100500, K_ = 205;
int N, K, A[N_];
ll Table[2][N_], S[N_];
int opt[K_][N_];

void solve (int k, int i) {
    if(k == 1) return;
    solve(k - 1, opt[k][i] - 1);
    printf("%d ", opt[k][i] - 1);
}

int main() {
    scanf("%d%d", &N, &K);
    for(int i = 1; i <= N; i++) scanf("%d", A+i), S[i] = S[i-1] + A[i];

    for(int i = 1; i <= N; i++) Table[1][i] = S[i] * (S[N] - S[i]);
    for(int k = 2; k <= K+1; k++) {
        ll *now = Table[k&1], *prev = Table[~k&1];
        for(int i = 1; i <= N; i++) now[i] = -1, opt[k][i] = -1;
        for(int i = k; i <= N; i++) {
            ll vp = -1;
            for(int j = max(max(opt[k-1][i], opt[k][i-1]), k); j <= i; j++) {
                ll v = prev[j-1] + (S[i] - S[j-1]) * (S[N] - S[i]);
                if(v >= now[i]) now[i] = v, opt[k][i] = j;
                if(N > 10000) {
                    if(v < vp) break;
                    vp = v;
                }
            }
        }
    }

    printf("%lld\n", Table[~K&1][N]);
    solve(K+1, N);

    return 0;
}

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