#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define rng(i,a,b) for(int i=int(a);i<int(b);i++)
#define rep(i,b) rng(i,0,b)
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<vvi> vvvi;
typedef vector<ll> vl;
typedef vector<vl> vvl;
typedef vector<vvl> vvvl;
typedef pair<int,int> ii;
template<class t> using vc=vector<t>;
template<class t> using vvc=vc<vc<t>>;
const int MOD = 998244353;
ll read(){
ll i;
cin>>i;
return i;
}
vi readvi(int n,int off=0,int shift=0){
vi v(n+shift);
rep(i,shift)v[i]=0;
rep(i,n)v[i+shift]=read()+off;
return v;
}
void YesNo(bool condition, bool do_exit=true) {
if (condition)
cout << "Yes" << endl;
else
cout << "No" << endl;
if (do_exit)
exit(0);
}
bool test(int n, vi & a, int k) {
vi finished(n+1);
rep (i,n) {
int num = (i ? a[i-1] : 0) - finished[i]; // tyle przechodzi z lewej
// jest a[i] - num lewych końców w i.
if (a[i] - num < 0)
return false;
if (a[i] - num > 0) {
if (i + k <= n)
finished[i+k] = a[i] - num;
else
return false;
}
}
return true;
}
int main(void ) {
ios::sync_with_stdio(false);
cin.tie(NULL);
int n;
cin >> n;
vi a = readvi(n);
ll sum = 0;
rep(i,n)
sum += a[i];
vector prime(n+1,true);
int res = 1;
rng(i,2,n+1)
if (prime[i]) {
if (sum % i == 0 and test(n,a,i))
res = i;
else {
int j = i;
while (j+i <= n) {
j += i;
prime[j] = false;
}
}
}
cout << res << endl;
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 | #include <bits/stdc++.h> using namespace std; #define ll long long #define rng(i,a,b) for(int i=int(a);i<int(b);i++) #define rep(i,b) rng(i,0,b) typedef vector<int> vi; typedef vector<vi> vvi; typedef vector<vvi> vvvi; typedef vector<ll> vl; typedef vector<vl> vvl; typedef vector<vvl> vvvl; typedef pair<int,int> ii; template<class t> using vc=vector<t>; template<class t> using vvc=vc<vc<t>>; const int MOD = 998244353; ll read(){ ll i; cin>>i; return i; } vi readvi(int n,int off=0,int shift=0){ vi v(n+shift); rep(i,shift)v[i]=0; rep(i,n)v[i+shift]=read()+off; return v; } void YesNo(bool condition, bool do_exit=true) { if (condition) cout << "Yes" << endl; else cout << "No" << endl; if (do_exit) exit(0); } bool test(int n, vi & a, int k) { vi finished(n+1); rep (i,n) { int num = (i ? a[i-1] : 0) - finished[i]; // tyle przechodzi z lewej // jest a[i] - num lewych końców w i. if (a[i] - num < 0) return false; if (a[i] - num > 0) { if (i + k <= n) finished[i+k] = a[i] - num; else return false; } } return true; } int main(void ) { ios::sync_with_stdio(false); cin.tie(NULL); int n; cin >> n; vi a = readvi(n); ll sum = 0; rep(i,n) sum += a[i]; vector prime(n+1,true); int res = 1; rng(i,2,n+1) if (prime[i]) { if (sum % i == 0 and test(n,a,i)) res = i; else { int j = i; while (j+i <= n) { j += i; prime[j] = false; } } } cout << res << endl; return 0; } |
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