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>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#define fr first
#define sc second
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define pw(x) (1ll << x)
#define sz(x) (int)((x).size())
#define pb push_back
#define endl '\n'
#define mp make_pair
using namespace std;
using namespace __gnu_pbds;
typedef long long ll;
typedef long double ld;
typedef pair <int, int> pii;
typedef pair <ll, ll> pll;
typedef unsigned long long ull;
template <typename T> inline bool umin (T &a, const T &b) { if (a > b) { a = b; return 1; } return 0; }
template <typename T> inline bool umax (T &a, const T &b) { if (a < b) { a = b; return 1; } return 0; }
template <typename T>
using oset = tree<T, null_type, less <T>, rb_tree_tag, tree_order_statistics_node_update>;
inline void solve () {
int n; cin >> n;
vector <int> a (n);
for (auto &i : a) cin >> i;
vector <int> opt (n), dp (n);
vector <vector <int>> vec (n + 1);
vector <ll> pref (n); pref[0] = a[0];
for (int i = 1; i < n; ++i) pref[i] = pref[i - 1] + a[i];
auto get = [&] (int l, int r) { return pref[r] - (l ? pref[l - 1] : 0); };
for (int i = 0; i < n; ++i) {
dp[i] = 1, opt[i] = 0;
vec[dp[i]].pb(i);
}
for (int i = 1; i < n; ++i) {
int dpj = 0;
for (int p = 19; ~p; --p) {
dpj += pw(p);
if (dpj > n || !sz(vec[dpj])) dpj -= pw(p);
else {
int j = vec[dpj][0];
if (get(j + 1, i) < get(opt[j], j)) dpj -= pw(p);
}
}
umax(dp[i], dpj + 1);
int optj = 0;
for (int p = 19; ~p; --p) {
optj += pw(p);
if (optj >= sz(vec[dpj])) optj -= pw(p);
else {
int j = vec[dpj][optj];
if (get(j + 1, i) < get(opt[j], j)) optj -= pw(p);
}
}
opt[i] = optj + 1;
vec[dp[i]].pb(i);
}
cout << dp[n - 1];
}
signed main() {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#ifdef LOCAL
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#endif // LOCAL
int t = 1; // cin >> t;
while (t--) solve();
return 0;
}
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