//#pragma GCC optimize("Ofast", "unroll-loops")
//#pragma GCC target("sse", "sse2", "sse3", "ssse3", "sse4")
#include <bits/stdc++.h>
#define all(a) a.begin(),a.end()
#define len(a) (int)(a.size())
#define mp make_pair
#define pb push_back
#define fi first
#define se second
using namespace std;
typedef pair<int, int> pii;
typedef long long ll;
typedef long double ld;
template<class T>
using vec = vector<T>;
template<typename T>
bool umin(T &a, T b) {
if (b < a) {
a = b;
return true;
}
return false;
}
template<typename T>
bool umax(T &a, T b) {
if (a < b) {
a = b;
return true;
}
return false;
}
#ifdef KoRoVa
#define DEBUG for (bool _FLAG = true; _FLAG; _FLAG = false)
#define LOG(...) print(#__VA_ARGS__" ::", __VA_ARGS__) << endl
template <class ...Ts> auto &print(Ts ...ts) { return ((cerr << ts << " "), ...); }
#else
#define DEBUG while (false)
#define LOG(...)
#endif
const int max_n = -1, inf = 1000111222;
void test_case() {
}
int main() {
// freopen("input.txt", "r", stdin);
// freopen("output.txt", "w", stdout);
ios_base::sync_with_stdio(0);
cin.tie(0);
int n;
cin >> n;
vector <int> a(n);
ll s = 0;
for (auto &i : a) {
cin >> i;
s += i;
}
int ans = 1;
vector <int> used(n + 1);
auto can = [&] (int x) {
LOG(x);
vector <ll> can(n + 1);
ll pref = 0;
for (int i = 0; i < n; i++) {
pref += can[i];
ll val = a[i] - pref;
if (val < 0) {
return false;
}
if (val > 0) {
int to = i + x;
if (to > n) {
return false;
}
can[to] -= val;
pref += val;
}
}
pref += can[n];
if (pref != 0) {
return false;
}
return true;
};
for (int i = 2; i <= n; i++) {
if (used[i]) {
continue;
}
if (s % i == 0) {
if (can(i)) {
ans = i;
}
else {
for (int j = i; j <= n; j += i) {
used[j] = 1;
}
}
}
}
cout << ans << '\n';
}
/*
KoRoVa!
*/
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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 | //#pragma GCC optimize("Ofast", "unroll-loops") //#pragma GCC target("sse", "sse2", "sse3", "ssse3", "sse4") #include <bits/stdc++.h> #define all(a) a.begin(),a.end() #define len(a) (int)(a.size()) #define mp make_pair #define pb push_back #define fi first #define se second using namespace std; typedef pair<int, int> pii; typedef long long ll; typedef long double ld; template<class T> using vec = vector<T>; template<typename T> bool umin(T &a, T b) { if (b < a) { a = b; return true; } return false; } template<typename T> bool umax(T &a, T b) { if (a < b) { a = b; return true; } return false; } #ifdef KoRoVa #define DEBUG for (bool _FLAG = true; _FLAG; _FLAG = false) #define LOG(...) print(#__VA_ARGS__" ::", __VA_ARGS__) << endl template <class ...Ts> auto &print(Ts ...ts) { return ((cerr << ts << " "), ...); } #else #define DEBUG while (false) #define LOG(...) #endif const int max_n = -1, inf = 1000111222; void test_case() { } int main() { // freopen("input.txt", "r", stdin); // freopen("output.txt", "w", stdout); ios_base::sync_with_stdio(0); cin.tie(0); int n; cin >> n; vector <int> a(n); ll s = 0; for (auto &i : a) { cin >> i; s += i; } int ans = 1; vector <int> used(n + 1); auto can = [&] (int x) { LOG(x); vector <ll> can(n + 1); ll pref = 0; for (int i = 0; i < n; i++) { pref += can[i]; ll val = a[i] - pref; if (val < 0) { return false; } if (val > 0) { int to = i + x; if (to > n) { return false; } can[to] -= val; pref += val; } } pref += can[n]; if (pref != 0) { return false; } return true; }; for (int i = 2; i <= n; i++) { if (used[i]) { continue; } if (s % i == 0) { if (can(i)) { ans = i; } else { for (int j = i; j <= n; j += i) { used[j] = 1; } } } } cout << ans << '\n'; } /* KoRoVa! */ |
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