#include <algorithm>
#include <bitset>
#include <iostream>
#include <list>
#include <map>
#include <queue>
#include <set>
#include <string>
#include <vector>
using namespace std;
#define PB push_back
#define MP make_pair
#define F first
#define S second
#define ALL(x) (x).begin(),(x).end()
#define SIZE(x) (int)(x).size()
#define CLEAR(tab) memset(tab, 0, sizeof(tab))
#define REP(x, n) for(int x = 0; x < (n); x++)
#define FOR(x, b, e) for(int x = (b); x <= (e); x++)
#define FORD(x, b, e) for(int x = (b); x >= (e); x--)
#define VAR(v, n) __typeof(n) v = (n)
#define FOREACH(i, c) for(VAR(i, (c).begin()); i != (c).end(); ++i)
#define DEBUG(fmt, ...) fprintf(stderr, fmt, ##__VA_ARGS__)
typedef long long int LL;
typedef pair<int,int> PII;
typedef vector<int> VI;
const int MXN = 100010;
const int C = 262144;
const int INF = 1000000001;
const int MOD = 1000000007;
int n;
int a[MXN];
int active[MXN];
bool check(int k) {
int curr_active = 0;
int cnt = 0;
a[n + 1] = 0;
FOR(i, 1, n + 1) {
active[i] = 0;
if(i > k) {
curr_active -= active[i - k];
}
if(a[i] > curr_active) {
active[i] = a[i] - curr_active;
curr_active += active[i];
}
else if(a[i] < curr_active)
return 0;
}
if(curr_active > 0)
return 0;
return 1;
}
void test() {
scanf("%d", &n);
LL sum = 0;
FOR(i, 1, n) {
scanf("%d", &a[i]);
sum += a[i];
}
int res = 1;
FOR(i, 1, n)
if(sum % i == 0) {
if(check(i))
res = max(res, i);
if(sum / i <= n && check(sum / i))
res = max(res, (int)(sum / i));
}
printf("%d\n", res);
}
int main() {
int te = 1;
//scanf("%d", &te);
while(te--)
test();
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 | #include <algorithm> #include <bitset> #include <iostream> #include <list> #include <map> #include <queue> #include <set> #include <string> #include <vector> using namespace std; #define PB push_back #define MP make_pair #define F first #define S second #define ALL(x) (x).begin(),(x).end() #define SIZE(x) (int)(x).size() #define CLEAR(tab) memset(tab, 0, sizeof(tab)) #define REP(x, n) for(int x = 0; x < (n); x++) #define FOR(x, b, e) for(int x = (b); x <= (e); x++) #define FORD(x, b, e) for(int x = (b); x >= (e); x--) #define VAR(v, n) __typeof(n) v = (n) #define FOREACH(i, c) for(VAR(i, (c).begin()); i != (c).end(); ++i) #define DEBUG(fmt, ...) fprintf(stderr, fmt, ##__VA_ARGS__) typedef long long int LL; typedef pair<int,int> PII; typedef vector<int> VI; const int MXN = 100010; const int C = 262144; const int INF = 1000000001; const int MOD = 1000000007; int n; int a[MXN]; int active[MXN]; bool check(int k) { int curr_active = 0; int cnt = 0; a[n + 1] = 0; FOR(i, 1, n + 1) { active[i] = 0; if(i > k) { curr_active -= active[i - k]; } if(a[i] > curr_active) { active[i] = a[i] - curr_active; curr_active += active[i]; } else if(a[i] < curr_active) return 0; } if(curr_active > 0) return 0; return 1; } void test() { scanf("%d", &n); LL sum = 0; FOR(i, 1, n) { scanf("%d", &a[i]); sum += a[i]; } int res = 1; FOR(i, 1, n) if(sum % i == 0) { if(check(i)) res = max(res, i); if(sum / i <= n && check(sum / i)) res = max(res, (int)(sum / i)); } printf("%d\n", res); } int main() { int te = 1; //scanf("%d", &te); while(te--) test(); return 0; } |
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