Submission #199667

#	Time	Username	Problem	Language	Result	Execution time	Memory
199667		ArthurQ	Split the sequence (APIO14_sequence)	C++17	100 / 100	1972 ms	83172 KiB

sequence

#include <iostream>
#include <vector>
#include <assert.h>

#define MAXN 100005
#define MAXK 205
 
using namespace std;
 
typedef long long int ll;
 
vector<ll> dpprev, dpnow;
 
int n, k, arr[MAXN], dprev[MAXN][MAXK], layer;
int 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++) {
		ll rev = dpprev[op-1] + 1LL * s[op] * (1LL * (s[mid] - s[op]));
		if (dpnow[mid-1] < rev)
			theop = op,
			dpnow[mid-1] = rev,
			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),
		dpnow.push_back(-1);
	
	for (layer = 1; layer <= k; layer++) {
		for (int i = 1; i <= n; i++)
			dpnow[i-1] = -1;
		DCT(layer, n, 1, n);
		dpprev = dpnow;
	}
	
	cout << dpnow.back() << "\n";
	bool ap = 0;
	int cnt = 0;
	int x = n;
	layer--;
	while (dprev[x][layer]) {
		if (ap) cout << " ";
		cout << dprev[x][layer];
		ap = 1;
		x = dprev[x][layer];
		layer--;
		cnt++;
	}
	cout << "\n";
	assert(cnt == k);
}

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