Submission #989445

#	Time	Username	Problem	Language	Result	Execution time	Memory
989445		Tozzyyyy	Split the sequence (APIO14_sequence)	C++14	100 / 100	876 ms	85776 KiB

sequence

#include<bits/stdc++.h>
#define all(x) (x).begin() , (x).end()
#define pll pair<long long, long long>
#define pii pair<int , int>
#define fi first
#define se second
#define bit(i,j) ((j >> i) & 1)
using namespace std;

#define int long long

const long long inf = 1e18+1;
const int mod = 998244353;
const int MAXN = 100000;

int x[MAXN+10] , pre[MAXN + 10];
int dp[MAXN+10] , lst[MAXN+ 10] ;int32_t trace[MAXN+10][210];

void compute(int l , int r , int optl , int optr , int k){
	if(l > r) return;
	int m = l + r >> 1;
	pll res = {-1e18 , -1};
	for(int i = optl ; i <= min(m , optr) ; i++){
		int t = lst[i-1] + ((pre[m] - pre[i-1]) * pre[i-1]);
		res= max(res , {t ,  i});
	}
	trace[m][k] = res.se-1;
	dp[m] = res.fi;
	int opt = res.se;
	compute(l , m-1 , optl , opt , k);
	compute(m + 1 , r , opt,  optr , k);
}
void solve(){
	int n , k; cin >> n >> k;
	for(int i = 1 ; i <= n ; i++){
		cin >> x[i];
		pre[i] = pre[i-1] + x[i];
	}
	for(int i = 1 ; i <= n ; i++) lst[i] = -inf;
	lst[0] = 0;
	for(int i = 1 ; i <= k+1; i++){
		compute(1 , n , 1 , n , i);
		for(int i = 0 ; i <= n ; i ++) lst[i] = dp[i];
	}
	cout << lst[n] << "\n";
	int t = n , h = k + 1;
	while(h>0){
		if(trace[t][h] != 0) cout << trace[t][h] << " ";
		t = trace[t][h];
		h--;
	}
	cout << "\n";	
}
	
int32_t main(){
  	//freopen("PAT.INP", "r", stdin);
	//freopen("PAT.OUT", "w", stdout);
	ios_base::sync_with_stdio(0); cin.tie(0);
	solve();
	return 0;
}

Compilation message (stderr)

sequence.cpp: In function 'void compute(long long int, long long int, long long int, long long int, long long int)':
sequence.cpp:21:12: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   21 |  int m = l + r >> 1;
      |          ~~^~~

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