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 u_map unordered_map
#define u_set unordered_set
#define u_multiset unordered_multiset
using ll = long long;
using vvi = vector<vector<int>>;
using vi = vector<int>;
using vvll = vector<vector<long long>>;
using vll = vector<long long>;
using vd = vector<double>;
using vvd = vector<vector<double>>;
using pii = pair<int, int>;
using vpii = vector<pair<int, int>>;
template<typename C> struct rge{C l, r;};
template<typename C> rge<C> range(C i, C j) { return rge<C>{i, j}; }
template<typename C> ostream& operator<<(ostream &os, rge<C> &r) { os << '{'; for(auto it = r.l; it != r.r; it++) os << "," + (it == r.l) << *it; os << '}'; return os; }
template<typename A, typename B> ostream& operator<<(ostream &os, const pair<A, B> &p) { return os << '{' << p.first << "," << p.second << '}'; }
template<typename T_container, typename T = typename enable_if<!is_same<T_container, string>::value, typename T_container::value_type>::type> ostream& operator<<(ostream &os, const T_container &v) { os << '{'; string sep; for (const T &x : v) os << sep << x, sep = ","; return os << '}'; }
void dbg_out() { cerr << ']' << endl; }
template<typename A> void dbg_out(A H) { cerr << H; dbg_out(); }
template<typename A, typename B, typename... C> void dbg_out(A H, B G, C... T) { cerr << H << ","; dbg_out(G, T...); }
#ifdef DEBUG
#define debug(...) cerr << "[" << #__VA_ARGS__ << "] = [", dbg_out(__VA_ARGS__)
#else
#define debug(...)
#endif
const ll INF = 1e18;
struct Node {
Node *l, *r;
int lo, hi;
ll vmin;
void update(){
vmin = min(l->vmin, r->vmin);
}
Node(int lo, int hi, ll id=INF) : lo(lo), hi(hi){
if(lo + 1 == hi){
vmin = id;
} else {
int mid = lo + (hi - lo) / 2;
l = new Node(lo, mid, id);
r = new Node(mid, hi, id);
update();
}
}
// vals[i] = x
void set(int i, ll x){
if(i < lo || hi <= i){
return;
}
if(lo + 1 == hi){
vmin = x;
} else {
l->set(i, x);
r->set(i, x);
update();
}
}
// greatest i such that vals[i] <= d
// -1 otherwise
int query(int d) {
if(vmin > d) return -1;
if(lo + 1 == hi) return lo;
if(r->vmin <= d) return r->query(d);
else return l->query(d);
}
};
void solve(){
int n;
cin >> n;
vll v(n);
for(int i = 0; i < n; i++) cin >> v[i];
vll pref(n+1);
for(int i = 1; i <= n; i++) pref[i] = pref[i-1] + v[i-1];
Node* st = new Node(0, n+1);
st->set(0, 0);
vi dp(n+1, 1e9);
dp[0] = 0;
for(int i = 1; i <= n; i++){
int idx = st->query(pref[i]);
dp[i] = dp[idx] + 1;
debug(i, idx, pref[i] - pref[idx]);
st->set(i, 2LL * pref[i] - pref[idx]);
}
debug(dp);
cout << dp[n] << endl;
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
solve();
return 0;
}
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