Submission #199533

#	Time	Username	Problem	Language	Result	Execution time	Memory
199533		ArthurQ	Split the sequence (APIO14_sequence)	C++14	0 / 100	31 ms	3820 KiB

sequence

#include <bits/stdc++.h>

#define MAXN 100005
#define MAXK 205
#define OO -1000000000000000000LL

using namespace std;

typedef long long int ll;

vector<ll> dpprev, dpnow;

int n, k, arr[MAXN], s[MAXN], dprev[MAXN], layer;

void DCT(int a, int b, int op1, int op2) {
	if (a > b) return;
	int mid = (a + b) / 2;
	int theop = op1;
	for (int op = max(layer-1, op1); op <= min(min(op2, n), mid-1); op++)
		if (dpnow[mid-1] < dpprev[op-1] + s[op] * (s[mid] - s[op]))
			theop = op,
			dpnow[mid-1] = dpprev[op-1] + s[op] * (s[mid] - s[op]),
			dprev[mid] = theop;
	DCT(a, mid-1, op1, theop), DCT(mid+1, b, theop, op2);	
}

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);
	memset(dprev, -1, sizeof(dprev));
	cin >> n >> k;
	for (int i = 1; i <= n; i++)
		cin >> arr[i];
	s[0] = 0;
	for (int i = 1; i <= n; i++)
		s[i] = s[i-1] + arr[i];
		
	for (int i = 1; i <= n; i++)
		dpprev.push_back(0);
	
	for (layer = 2; layer <= k+1; layer++) {
		dpnow.clear();
		for (int i = 1; i <= n; i++)
			dpnow.push_back(OO);
		DCT(layer, n, 1, n);
		dpprev = dpnow;
	}
	
	cout << dpnow.back() << "\n";
	bool ap = 0;
	int x = n;
	while (dprev[x] != 1) {
		cout << (ap ? " " : "") << dprev[x];
		ap = 1;
		x = dprev[x];
	}
	cout << "\n";
}

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