Submission #199547

#	Time	Username	Problem	Language	Result	Execution time	Memory
199547		ArthurQ	Split the sequence (APIO14_sequence)	C++14	71 / 100	2019 ms	83560 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], dprev[MAXN][MAXK], layer;
ll s[MAXN];

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, op1); op <= min(mid-1, op2); 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][layer] = theop;
	DCT(a, mid-1, op1, theop), DCT(mid+1, b, theop, op2);	
}

int main() {
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	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 = 1; layer <= k; 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;
	layer--;
	while (dprev[x][layer]) {
		if (ap) cout << " ";
		cout << dprev[x][layer];
		ap = 1;
		x = dprev[x][layer];
		layer--;
	}
	cout << "\n";
}

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