#include <bits/stdc++.h>
using namespace std;
typedef long long int ll;
#define PB push_back
const ll INF = 1e7;
ll wynik[500011];
ll waga[500011];
ll suma[500011];
ll suf_sum[500012];
ll mini = INF;
set<pair<ll, ll>>s;
int n;
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cin>>n;
for(int i = 1; i <= n; ++i) {
cin>>waga[i];
suma[i] = waga[i] + suma[i-1];
}
for(int i = n; i >= 1; --i) {
suf_sum[i] += suf_sum[i+1] + waga[i];
}
if(suma[n] < 0) {
cout<<"-1\n";
return 0;
}
s.insert({0,0});
for(int i = 1; i <= n; ++i) {
//cout<<"ROZPATRUJE i: "<<i<<"\n";
wynik[i] = 2*INF;
//int current_sum = waga[i];
if(waga[i] >= 0 && suma[i-1] >= 0) {
wynik[i] = wynik[i-1];
}
/**
for(int j = i - 1; j > 0; --j) {
current_sum += waga[j];
if(suma[j - 1] >= 0 && current_sum >= 0) {
wynik[i] = min(wynik[i], wynik[j - 1] + i - j);
}
}**/
auto iter = s.lower_bound({suf_sum[i+1], -(3*INF)});
if(iter != s.end()) {
wynik[i] = min(wynik[i], i + iter->second);
//cout<<"wybralem wartosc "<<iter->second<<" o sufiksie "<<iter->first<<"\n";
}
if(true) {
pair<ll, ll> to_insert({suf_sum[i], wynik[i-1] - i});
//cout<<"wkladam "<<to_insert.first<<" "<<to_insert.second<<" dla j "<<i<<"\n";
auto tz = s.upper_bound(to_insert);
if(tz != s.end()) {
if(tz->first > to_insert.first && tz->second <= to_insert.second) {
//cout<<"kontyna\n";
continue;
}
}
s.insert(to_insert);
auto x = s.lower_bound({suf_sum[i], -(3*INF)});
pair<ll, ll> zostaje = (*x);
auto w_przod = x;
if(x != s.end())++w_przod;
vector<pair<ll, ll>> to_erase;
for(; w_przod != s.end(); ++w_przod) {
if(zostaje.first == w_przod->first && w_przod->second > zostaje.second) {
to_erase.PB(*w_przod);
}
else {
break;
}
}
if(x != s.begin()) {
auto w_tyl = x;
--w_tyl;
while(true) {
if(w_tyl->second >= zostaje.second) {
to_erase.PB(*w_tyl);
}else {
break;
}
if(w_tyl == s.begin()) {
break;
} else {
--w_tyl;
}
}
}
for(auto tr : to_erase) {
s.erase(tr);
}
}
//cout<<"Pokaz set\n";
//for(auto x : s) { cout<<x.first<<" "<<x.second<<"\n";}
}/**
for(int i = 1; i <= n; ++i) {
cout<<"i: "<<i<<" "<<wynik[i]<<"\n";
}**/
cout<<wynik[n]<<"\n";
return 0;
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 | #include <bits/stdc++.h> using namespace std; typedef long long int ll; #define PB push_back const ll INF = 1e7; ll wynik[500011]; ll waga[500011]; ll suma[500011]; ll suf_sum[500012]; ll mini = INF; set<pair<ll, ll>>s; int n; int main() { ios_base::sync_with_stdio(0); cin.tie(0); cin>>n; for(int i = 1; i <= n; ++i) { cin>>waga[i]; suma[i] = waga[i] + suma[i-1]; } for(int i = n; i >= 1; --i) { suf_sum[i] += suf_sum[i+1] + waga[i]; } if(suma[n] < 0) { cout<<"-1\n"; return 0; } s.insert({0,0}); for(int i = 1; i <= n; ++i) { //cout<<"ROZPATRUJE i: "<<i<<"\n"; wynik[i] = 2*INF; //int current_sum = waga[i]; if(waga[i] >= 0 && suma[i-1] >= 0) { wynik[i] = wynik[i-1]; } /** for(int j = i - 1; j > 0; --j) { current_sum += waga[j]; if(suma[j - 1] >= 0 && current_sum >= 0) { wynik[i] = min(wynik[i], wynik[j - 1] + i - j); } }**/ auto iter = s.lower_bound({suf_sum[i+1], -(3*INF)}); if(iter != s.end()) { wynik[i] = min(wynik[i], i + iter->second); //cout<<"wybralem wartosc "<<iter->second<<" o sufiksie "<<iter->first<<"\n"; } if(true) { pair<ll, ll> to_insert({suf_sum[i], wynik[i-1] - i}); //cout<<"wkladam "<<to_insert.first<<" "<<to_insert.second<<" dla j "<<i<<"\n"; auto tz = s.upper_bound(to_insert); if(tz != s.end()) { if(tz->first > to_insert.first && tz->second <= to_insert.second) { //cout<<"kontyna\n"; continue; } } s.insert(to_insert); auto x = s.lower_bound({suf_sum[i], -(3*INF)}); pair<ll, ll> zostaje = (*x); auto w_przod = x; if(x != s.end())++w_przod; vector<pair<ll, ll>> to_erase; for(; w_przod != s.end(); ++w_przod) { if(zostaje.first == w_przod->first && w_przod->second > zostaje.second) { to_erase.PB(*w_przod); } else { break; } } if(x != s.begin()) { auto w_tyl = x; --w_tyl; while(true) { if(w_tyl->second >= zostaje.second) { to_erase.PB(*w_tyl); }else { break; } if(w_tyl == s.begin()) { break; } else { --w_tyl; } } } for(auto tr : to_erase) { s.erase(tr); } } //cout<<"Pokaz set\n"; //for(auto x : s) { cout<<x.first<<" "<<x.second<<"\n";} }/** for(int i = 1; i <= n; ++i) { cout<<"i: "<<i<<" "<<wynik[i]<<"\n"; }**/ cout<<wynik[n]<<"\n"; return 0; } |
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