Submission #403212

#TimeUsernameProblemLanguageResultExecution timeMemory
403212SavicS수열 (APIO14_sequence)C++14
28 / 100
13 ms2740 KiB
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <bits/stdc++.h>

#define fi first
#define se second
#define pb push_back
#define sz(a) (int)a.size()
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define ff(i,a,b) for(int i=a;i<=b;i++)
#define fb(i,b,a) for(int i=b;i>=a;i--)

using namespace std;
using namespace __gnu_pbds;
typedef long long ll;
typedef pair<int,int> pii;
const int maxn = 1005;
const ll inf = 1e18 + 5;

template<typename T>
using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;

// os.order_of_key(k) the number of elements in the os less than k
// *os.find_by_order(k)  print the k-th smallest number in os(0-based)

int n, K;
int niz[maxn];

ll pref[maxn];

ll dp[maxn][205];
int put[maxn][205];

void divi(int lvl, int tl, int tr, int l, int r){
	if(l > r)return;
	int mid = (l + r) / 2;
	
	dp[mid][lvl] = -inf;
	
	int opt = 0;
	ff(i,tl,min(mid,tr)){
		if(dp[i - 1][lvl - 1] + 1ll * (pref[mid] - pref[i - 1]) * (pref[n] - pref[mid]) > dp[mid][lvl]){
			dp[mid][lvl] = dp[i - 1][lvl - 1] + 1ll * (pref[mid] - pref[i - 1]) * (pref[n] - pref[mid]);
			opt = i;
		}
	}	
	
	put[mid][lvl] = opt - 1;

	divi(lvl, tl, opt, l, mid - 1);
	divi(lvl, opt, tr, mid + 1, r);
	
}

int main() 
{
    ios::sync_with_stdio(false);
    cout.tie(nullptr);
    cin.tie(nullptr);
    cin >> n >> K;
    ff(i,1,n)cin >> niz[i];

    ff(i,1,n)pref[i] = pref[i - 1] + niz[i];

    K += 1;
	ff(i,1,n)dp[i][1] = 1ll * pref[i] * (pref[n] - pref[i]);
	
	ff(j,2,K)divi(j,1,n,1,n);
    vector<int> res;

    int A = n, B = K;
    while(A >= 1) {
        if(A != n)res.pb(A);
        A = put[A][B--];
    }

    cout << dp[n][K] << endl;
    for(auto c : res)cout << c << " ";
	cout << endl;
	
    return 0;
}
/**


9 4
51 57 35 8 14 30 2 55 13 


7 3
4 1 3 4 0 2 3

4 1 3 | 

// probati bojenje sahovski ili slicno

**/
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