#pragma GCC optimize ("Ofast")
#define _USE_MATH_DEFINES
#include <bits/stdc++.h>
#define FOR(i, a, b) for (auto i=(a); i<(b); i++)
#define FORD(i, a, b) for (auto i=(a); i>(b); i--)
#define SZ(x) ((int)(x).size())
#define ITH_BIT(m, i) ((m)>>(i) & 1)
#define PPC(x) __builtin_popcount(x)
#ifdef DEBUG
#include "debug.h"
#else
#define dbg(...) 0
#endif
template <typename T1, typename T2> inline void remin(T1& a, T2 b) { a = std::min(a, (T1)b); }
template <typename T1, typename T2> inline void remax(T1& a, T2 b) { a = std::max(a, (T1)b); }
const int maxN = 1 << 22, mod = 1'000'000'007;
int n, T[maxN], toDrop[maxN];
bool check(int k)
{
std::fill(toDrop, toDrop + n, 0);
int opens = 0;
FOR(i, 0, n)
{
opens -= toDrop[i];
int left = T[i] - opens;
if (left < 0)
return false;
if (left > 0 and i+k > n)
return false;
toDrop[i + k] += left;
opens += left;
}
return true;
}
auto getDivs(long long x)
{
std::vector <long long> divs;
for (int i=1; 1ll*i*i<=x; i++)
if (x % i == 0)
divs.push_back(i), divs.push_back(x / i);
return divs;
}
void solve()
{
scanf ("%d", &n);
long long sum = 0;
FOR(i, 0, n)
scanf ("%d", T+i), sum += T[i];
auto D = getDivs(sum);
int res = 1;
for (long long d : D)
if (res < d and d <= n and check(d))
res = d;
printf("%d\n", res);
}
int main()
{
int tc = 1;
// scanf ("%d", &tc);
FOR(cid, 1, tc+1)
{
// printf("Case #%d: ", cid);
solve();
}
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 | #pragma GCC optimize ("Ofast") #define _USE_MATH_DEFINES #include <bits/stdc++.h> #define FOR(i, a, b) for (auto i=(a); i<(b); i++) #define FORD(i, a, b) for (auto i=(a); i>(b); i--) #define SZ(x) ((int)(x).size()) #define ITH_BIT(m, i) ((m)>>(i) & 1) #define PPC(x) __builtin_popcount(x) #ifdef DEBUG #include "debug.h" #else #define dbg(...) 0 #endif template <typename T1, typename T2> inline void remin(T1& a, T2 b) { a = std::min(a, (T1)b); } template <typename T1, typename T2> inline void remax(T1& a, T2 b) { a = std::max(a, (T1)b); } const int maxN = 1 << 22, mod = 1'000'000'007; int n, T[maxN], toDrop[maxN]; bool check(int k) { std::fill(toDrop, toDrop + n, 0); int opens = 0; FOR(i, 0, n) { opens -= toDrop[i]; int left = T[i] - opens; if (left < 0) return false; if (left > 0 and i+k > n) return false; toDrop[i + k] += left; opens += left; } return true; } auto getDivs(long long x) { std::vector <long long> divs; for (int i=1; 1ll*i*i<=x; i++) if (x % i == 0) divs.push_back(i), divs.push_back(x / i); return divs; } void solve() { scanf ("%d", &n); long long sum = 0; FOR(i, 0, n) scanf ("%d", T+i), sum += T[i]; auto D = getDivs(sum); int res = 1; for (long long d : D) if (res < d and d <= n and check(d)) res = d; printf("%d\n", res); } int main() { int tc = 1; // scanf ("%d", &tc); FOR(cid, 1, tc+1) { // printf("Case #%d: ", cid); solve(); } return 0; } |
English