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;
const int N = 3005;
typedef long long ll;
int n, a[N], dp[N][N];
ll pre[N];
ll sum(int i, int j) {
if (i) return pre[j] - pre[i - 1];
return pre[j];
}
int main(){
cin >> n;
for (int i = 0; i < n; ++i) cin >> a[i];
pre[0] = a[0];
for (int i = 1; i < n; ++i) pre[i] = a[i] + pre[i - 1];
for (int i = 0; i < n; ++i) {
for (int j = 0; j < n; ++j) dp[i][j] = -1e9;
}
for (int i = 0; i < n; ++i) {
dp[0][i] = 1;
}
for (int i = 1; i < n; ++i) {
for (int j = i; j < n; ++j) {
int lo = 0, hi = i;
while (lo < hi) {
int mid = (lo + hi) >> 1;
if (sum(i, j) >= sum(mid, i - 1)) hi = mid;
else lo = mid + 1;
}
// dp[i][j] = max(dp[i][j], dp[>= lo][i - 1] + 1)
for (int k = lo; k < i; ++k) {
if (sum(i, j) >= sum(k, i - 1)) dp[i][j] = max(dp[i][j], dp[k][i - 1] + 1);
}
}
}
int ans = 0;
for (int i = 0; i < n; ++i) ans = max(ans, dp[i][n - 1]);
cout << ans << "\n";
return 0;
}
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