This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
using namespace std;
#define f first
#define s second
#define int long long
const int maxn = 5010;
const int inf = 1e18;
int n, a[maxn], dp[maxn][maxn], p[maxn];
signed main() {
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
int tt = 1;
//cin >> tt;
while (tt--) {
cin >> n;
for (int i = 1;i <= n;i++)
cin >> a[i];
for (int i = 1;i <= n;i++)
p[i] = p[i - 1] + a[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++) {
dp[i][1] = p[i];
for (int j = 2;j <= n;j++) {
int l = 0, r = i - 1, id = inf;
while (l <= r) {
int mid = (l + r) / 2;
int o = p[i] - p[mid];
if (o >= dp[mid][j - 1] || dp[mid][j - 1] == inf) {
if (dp[mid][j - 1] != inf)
id = o;
l = mid + 1;
}
else
r = mid - 1;
}
dp[i][j] = id;
// int sm = a[i];
// for (int k = i - 1;k >= 0;k--) {
// dp[i][j] = min(dp[i][j], (sm >= dp[k][j - 1] ? sm : inf));
// sm += a[k];
// }
}
}
// for (int i = 1;i <= n;i++) {
// for (int j = 1;j <= n;j++)
// cout << dp[i][j] << " ";
// cout << endl;
// }
int ans = 0;
for (int i = 1;i <= n;i++) {
if (dp[n][i] != inf)
ans = i;
}
cout << ans;
}
return 0;
}
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