Submission #403176

#	Time	Username	Problem	Language	Result	Execution time	Memory
403176		SavicS	Split the sequence (APIO14_sequence)	C++14	0 / 100	80 ms	131076 KiB

sequence

#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 = 100005;
const int inf = 1e9 + 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];

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];
	
	memset(dp, -inf, sizeof(dp));
	K += 1;
	
	dp[0][0] = 0;
	ff(i,1,n){
		ff(j,1,K){
			fb(l,i,1){
				if(dp[l - 1][j - 1] + 1ll * (pref[i] - pref[l - 1]) * (pref[n] - pref[i]) > dp[i][j]){
					dp[i][j] = dp[l - 1][j - 1] + 1ll * (pref[i] - pref[l - 1]) * (pref[n] - pref[i]);
					put[i][j] = l - 1;
				}
			}
		}
	}
	
	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;
	
	reverse(all(res));
	for(auto c : res)cout << c << " ";
	cout << endl;
			
    return 0;
}
/**

7 3
4 1 3 4 0 2 3


// probati bojenje sahovski ili slicno

**/

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