Submission #501426

#TimeUsernameProblemLanguageResultExecution timeMemory
501426MazaalaiBigger segments (IZhO19_segments)C++17
13 / 100
3 ms4300 KiB
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using VI = vector <int>;
using VLL = vector <ll>;
int n, m;
const int N = 3e3 + 5;
const ll INF = 1e17;
ll ans = 1;
ll nums[N], dp[N][N];
signed main () {
	ios::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	// freopen("in.txt", "r", stdin);
	// freopen("out.txt", "w", stdout);
	cin >> n;
	for (int i = 1; i <= n; i++) cin >> nums[i];
	for (int i = 0; i <= n; i++)
	for (int j = 0; j <= n; j++) dp[i][j] = INF;
	dp[0][0] = 0;

	for (int i = 1; i <= n; i++) {
		ll curSum = 0;
		for (int l = 0, r = 1; r <= n;) {
			if (dp[i-1][l] == INF) {
				l++, r++;
				continue;
			}
			curSum += nums[r++];
			while ((dp[i-1][l] > curSum || curSum == 0) && r <= n) 
				curSum += nums[r++];

			if (curSum >= dp[i-1][l]) dp[i][r-1] = curSum;
			// cout << i << ' ' << l << ' ' << r << ' ' << curSum << '\n';
			// i = n+1;
			// break;
			while (l + 1 < r && dp[i-1][l+1] <= curSum-nums[l+1]) {
				curSum -= nums[++l];
				dp[i][r-1] = curSum;
			}

			// cout << i << ' ' << l << ' ' << r << '\n';
			// exit(0);
		}
		if (dp[i][n] != INF) ans = max(ans, (ll)i);
	}
	// for (int i = 1; i <= n; i++)
	// 	for (int j = 1; j <= n; j++) cout << (dp[i][j] == INF ? -1 : dp[i][j]) << " \n"[j==n];
	cout << ans << '\n';
}
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