//fast
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
#define rep(n) for(ll i = 0 ; i<n ; i++)
#define all(x) x.begin(),x.end()
#define pb push_back
vector<ll> f(ll n){
vector<ll> d;
for (ll i = 1 ; i*i<=n ; i++){
if (n%i==0){
d.pb(n/i);
if (i*i!=n) d.pb(i);
}
}
return d;
}
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
ll n;
cin >> n;
ll a[n];
ll od[2*n+1];
ll b[n];
ll sum = 0;
rep(n){
cin >> a[i];
sum+=a[i];
}
vector<ll> dziel = f(sum);
sort(all(dziel));
reverse(all(dziel));
ll pom = 0;
for (ll k : dziel){
if (k>n) continue;
pom = 0;
rep(n){
b[i] = a[i];
od[i] = 0;
}
od[n] = 0;
bool ok = 1;
rep(n){
pom+=od[i];
b[i]-=pom;
if (b[i]<0){
ok = 0;
break;
}
od[i+k]-=b[i];
pom+=b[i];
}
pom+=od[n];
if (ok && pom==0){
cout << k << '\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 | //fast #include<bits/stdc++.h> using namespace std; typedef long long ll; typedef long double ld; #define rep(n) for(ll i = 0 ; i<n ; i++) #define all(x) x.begin(),x.end() #define pb push_back vector<ll> f(ll n){ vector<ll> d; for (ll i = 1 ; i*i<=n ; i++){ if (n%i==0){ d.pb(n/i); if (i*i!=n) d.pb(i); } } return d; } int main(){ ios_base::sync_with_stdio(0); cin.tie(0); ll n; cin >> n; ll a[n]; ll od[2*n+1]; ll b[n]; ll sum = 0; rep(n){ cin >> a[i]; sum+=a[i]; } vector<ll> dziel = f(sum); sort(all(dziel)); reverse(all(dziel)); ll pom = 0; for (ll k : dziel){ if (k>n) continue; pom = 0; rep(n){ b[i] = a[i]; od[i] = 0; } od[n] = 0; bool ok = 1; rep(n){ pom+=od[i]; b[i]-=pom; if (b[i]<0){ ok = 0; break; } od[i+k]-=b[i]; pom+=b[i]; } pom+=od[n]; if (ok && pom==0){ cout << k << '\n'; return 0; } } } |
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