#include <bits/stdc++.h>
#include <bits/extc++.h>
using namespace std;
using namespace __gnu_pbds;
#define DEBUG
#ifdef DEBUG
template<typename T1,typename T2>auto& operator<<(ostream&o,pair<T1,T2>a){return o<<"("<<a.first<<", "<<a.second<<")";}
template<typename T,size_t...I>void pt(ostream&o,T t,index_sequence<I...>){o<<"(";(...,(o<<(I?", ":"")<< get<I>(t)));o<<")";}
template<typename...A>auto& operator<<(ostream&o,tuple<A...>t){pt(o,t,index_sequence_for<A...>{});return o;}
template<typename T,typename O>auto& operator<<(O&o,T a){o<<"{";for(auto b:a)o<<b<<", ";return o<<"}";}
#define db(x...) cerr << "\033[92m" << "[" #x "]: ", [](auto... args) { ((cerr << args << ", "),...) << "\033[0m" << "\n"; }(x)
#else
#define db(...)
#endif
#define sz(x) ((int)(x).size())
#define all(x) (x).begin(), (x).end()
#define F first
#define S second
template<class T>
using iset = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
using ll = long long;
using ld = long double;
using pll = pair<ll,ll>;
using vi = vector<int>;
mt19937 mrand(random_device{}());
ll rnd(ll l, ll r) { return l + mrand() % (r - l + 1);}
ll n;
vector<ll> v;
bool check(ll k) {
vector<ll> s = v;
vector<ll> upd(n);
ll cur = 0;
for(ll i = 0 ; i < n ; ++i) {
cur -= upd[i];
s[i] -= cur;
if(s[i] < 0) return false;
if(i+k <= n) {
cur += s[i];
if(i+k < n) upd[i+k] += s[i];
s[i] = 0;
}
if(s[i] != 0) {
return false;
}
}
return true;
}
int main() {
cin.tie(0)->sync_with_stdio(0); cin.exceptions(cin.failbit);
cin >> n;
v = vector<ll>(n);
for(ll i = 0 ; i < n ; ++i) cin >> v[i];
vector<ll> is_prime(n+7, true);
is_prime[0] = is_prime[1] = false;
for(ll i = 2 ; i < n+7 ; ++i) {
if(!is_prime[i]) continue;
for(ll j = 2*i ; j < n+7 ; j += i) {
is_prime[j] = false;
}
}
ll ans = 1;
ll sum = std::accumulate(all(v), 0ll);
for(ll i = 2 ; i <= n ; ++i) {
if(sum % i == 0 && check(i)) ans = max(ans, i);
}
cout << ans;
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 | #include <bits/stdc++.h> #include <bits/extc++.h> using namespace std; using namespace __gnu_pbds; #define DEBUG #ifdef DEBUG template<typename T1,typename T2>auto& operator<<(ostream&o,pair<T1,T2>a){return o<<"("<<a.first<<", "<<a.second<<")";} template<typename T,size_t...I>void pt(ostream&o,T t,index_sequence<I...>){o<<"(";(...,(o<<(I?", ":"")<< get<I>(t)));o<<")";} template<typename...A>auto& operator<<(ostream&o,tuple<A...>t){pt(o,t,index_sequence_for<A...>{});return o;} template<typename T,typename O>auto& operator<<(O&o,T a){o<<"{";for(auto b:a)o<<b<<", ";return o<<"}";} #define db(x...) cerr << "\033[92m" << "[" #x "]: ", [](auto... args) { ((cerr << args << ", "),...) << "\033[0m" << "\n"; }(x) #else #define db(...) #endif #define sz(x) ((int)(x).size()) #define all(x) (x).begin(), (x).end() #define F first #define S second template<class T> using iset = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>; using ll = long long; using ld = long double; using pll = pair<ll,ll>; using vi = vector<int>; mt19937 mrand(random_device{}()); ll rnd(ll l, ll r) { return l + mrand() % (r - l + 1);} ll n; vector<ll> v; bool check(ll k) { vector<ll> s = v; vector<ll> upd(n); ll cur = 0; for(ll i = 0 ; i < n ; ++i) { cur -= upd[i]; s[i] -= cur; if(s[i] < 0) return false; if(i+k <= n) { cur += s[i]; if(i+k < n) upd[i+k] += s[i]; s[i] = 0; } if(s[i] != 0) { return false; } } return true; } int main() { cin.tie(0)->sync_with_stdio(0); cin.exceptions(cin.failbit); cin >> n; v = vector<ll>(n); for(ll i = 0 ; i < n ; ++i) cin >> v[i]; vector<ll> is_prime(n+7, true); is_prime[0] = is_prime[1] = false; for(ll i = 2 ; i < n+7 ; ++i) { if(!is_prime[i]) continue; for(ll j = 2*i ; j < n+7 ; j += i) { is_prime[j] = false; } } ll ans = 1; ll sum = std::accumulate(all(v), 0ll); for(ll i = 2 ; i <= n ; ++i) { if(sum % i == 0 && check(i)) ans = max(ans, i); } cout << ans; return 0; } |
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