Submission #265462

#	Time	Username	Problem	Language	Result	Execution time	Memory
265462		square1001	Split the sequence (APIO14_sequence)	C++14	50 / 100	2045 ms	24960 KiB

sequence

// APIO 2014 Problem 2 - Split the Sequence

#include <vector>
#include <iostream>
#include <algorithm>
using namespace std;
const long long inf = 1LL << 60;
int main() {
	// step #1. read input
	int N, K;
	cin >> N >> K; ++K;
	vector<int> A(N);
	for(int i = 0; i < N; ++i) {
		cin >> A[i];
	}
	// step #2. preparation for calculating the answer
	vector<int> S(N + 1);
	for(int i = 0; i < N; ++i) {
		S[i + 1] = S[i] + A[i];
	}
	vector<vector<long long> > dp(N + 1, vector<long long>(K + 1, inf));
	vector<vector<int> > pre(N + 1, vector<int>(K + 1, -1));
	dp[0][0] = 0;
	for(int i = 1; i <= N; ++i) {
		for(int j = 1; j <= K; ++j) {
			for(int k = 0; k < i; ++k) {
				if(dp[i][j] > dp[k][j - 1] - 1LL * S[i] * S[k]) {
					dp[i][j] = dp[k][j - 1] - 1LL * S[i] * S[k];
					pre[i][j] = k;
				}
			}
			dp[i][j] += 1LL * S[i] * S[i];
		}
	}
	cout << 1LL * S[N] * S[N] - dp[N][K] << endl;
	int pos = N;
	for(int i = K; i >= 2; --i) {
		cout << pre[pos][i] << (i != 2 ? ' ' : '\n');
		pos = pre[pos][i];
	}
	return 0;
}

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