Submission #1017162

#	Time	Username	Problem	Language	Result	Execution time	Memory
1017162		Gray	Split the sequence (APIO14_sequence)	C++17	33 / 100	2333 ms	131072 KiB

sequence

#include <algorithm>
#include <cassert>
#include <cstring>
#include <ios>
#include <iostream>
#include <map>
#include <vector>
#define ll long long
#define ull unsigned ll
#define ld long double
#define ff first
#define ss second
#define ln "\n"
#define pll pair<ll, ll>
using namespace std;

vector<ll> dep(100001), wr(201), pref(100001), vals(100001);
int link[100001][201];
void get(ll l, ll r, ll optl, ll optr, ll n, ll k){
	if (l>r) return;
	ll m = (l+r)/2;
	pll optm = {-1, -1};
	for (ll i=optl; i<=min(m-1, optr); i++){
		optm = max(optm, {dep[i]+(pref[m]-pref[i])*(pref[n]-pref[m]), i});
	}
	wr[m]=optm.ff;
	assert(optm.ss!=-1);
	link[m][k]=(int)(optm.ss);
	get(l, m-1, optl, optm.ss, n, k);
	get(m+1, r, optm.ss, optr, n, k);
}
void solve(){
	memset(link, 0, sizeof(link));
	ll n, k; cin >> n >> k;
	for (ll i=1; i<=n; i++){
		cin >> vals[i];
		pref[i]+=pref[i-1]+vals[i];
	}
	for (ll i=1; i<=k; i++){
		get(1, n, 0, n, n, i);
		wr.swap(dep);
	}
	pair<ll, ll> mx={-1, -1};
	for (ll i=0; i<n; i++) mx=max(mx, {dep[i], i});
	cout << mx.ff << ln;
	vector<ll> ans;
	for (ll i=k; i>=1; i--){
		ans.push_back(mx.ss);
		mx.ss=link[mx.ss][i];
	}
	for (ll i=k-1; i>=0; i--){
		cout << ans[i] << " ";
	}
	cout << ln;
}
// dp[i][k] = maxj(dp[j][k-1]+(pref[i]-pref[j])*(pref[n]-pref[i]));
// (dp[j][k-1]-pref[j]*pref[n])+pref[j]*pref[i];

int main(){
  	ios_base::sync_with_stdio(0);
  	cin.tie(nullptr);
  	ll t=1;
  	// cin >> t;
  	while (t--)solve();
}

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