Submission #6964

#TimeUsernameProblemLanguageResultExecution timeMemory
6964tncks0121Split the sequence (APIO14_sequence)C++98
100 / 100
1408 ms84904 KiB
#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);
}
 
ll *now, *prev;
 
void conq (int k, int l, int r, int optl, int optr) {
  int m = (l+r) >> 1;
  for(int j = optl; j <= optr && j <= m; j++) {
    ll val = prev[j-1] + (S[m] - S[j-1]) * (S[N] - S[m]);
    if(val >= now[m]) now[m] = val, opt[k][m] = j;
  }
  if(l < r) {
    conq (k, l, m-1, optl, opt[k][m]);
    conq (k, m+1, r, opt[k][m], optr);
  }
}
  
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++) {
        now = Table[k&1], prev = Table[~k&1];
        for(int i = 1; i <= N; i++) now[i] = -1, opt[k][i] = -1;
        conq(k, k, N, k, N);
    }
  
    printf("%lld\n", Table[~K&1][N]);
    solve(K+1, N);
  
    return 0;
}
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