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 X first
#define Y second
typedef long long ll;
typedef pair<int, ll> pii;
const int N = 5e5 + 2;
int n, a[N];
pii dp[N];
ll pre[N];
set<pair<ll, pii> > s;
pii cmp_dp(pii x, pii y) {
if (x.X == y.X) {
if (x.Y < y.Y) return x;
return y;
}
if (x.X > y.X) return x;
return y;
}
bool higher(pii x, pii y) {
if (x.X == y.X) return x.Y > y.Y;
return x.X > y.X;
}
int main(){
ios_base::sync_with_stdio(false); cin.tie(0);
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) {
dp[i] = {1, pre[i]};
auto it = s.lower_bound({pre[i] + 1, {0, 0}});
if (it != s.begin()) {
--it;
dp[i] = cmp_dp(dp[i], {(*it).Y.X + 1, pre[i] - (*it).Y.Y});
}
pii cur = {dp[i].X, pre[i]};
ll x = dp[i].Y + pre[i];
it = s.lower_bound({x, {0, 0}});
while (it != s.end() && !higher((*it).second, cur)) {
s.erase(it);
it = s.lower_bound({x, {0, 0}});
}
it = s.lower_bound({x + 1, {0, 0}});
if (it != s.begin() && !higher(cur, (*--it).second)) continue;
s.insert({x, cur});
}
cout << dp[n - 1].X << "\n";
return 0;
}
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