CodeForces B. Creating the Contest

http://codeforces.com/contest/1029/problem/B

You are given a problemset consisting of nn problems. The difficulty of the ii-th problem is aiai. It is guaranteed that all difficulties are distinct and are given in the increasing order.

You have to assemble the contest which consists of some problems of the given problemset. In other words, the contest you have to assemble should be a subset of problems (not necessary consecutive) of the given problemset. There is only one condition that should be satisfied: for each problem but the hardest one (the problem with the maximum difficulty) there should be a problem with the difficulty greater than the difficulty of this problem but not greater than twice the difficulty of this problem. In other words, let ai1,ai2,…,aipai1,ai2,…,aip be the difficulties of the selected problems in increasing order. Then for each jj from 11 to p−1p−1 aij+1≤aij⋅2aij+1≤aij⋅2 should hold. It means that the contest consisting of only one problem is always valid.

Among all contests satisfying the condition above you have to assemble one with the maximum number of problems. Your task is to find this number of problems.

Input

The first line of the input contains one integer nn (1≤n≤2⋅1051≤n≤2⋅105) — the number of problems in the problemset.

The second line of the input contains nn integers a1,a2,…,ana1,a2,…,an (1≤ai≤1091≤ai≤109) — difficulties of the problems. It is guaranteed that difficulties of the problems are distinct and are given in the increasing order.

Output

Print a single integer — maximum number of problems in the contest satisfying the condition in the problem statement.

Examples

input

Copy

10
1 2 5 6 7 10 21 23 24 49

output

Copy

4

input

Copy

5
2 10 50 110 250

output

Copy

1

input

Copy

6
4 7 12 100 150 199

output

Copy

3

代码：

#include <bits/stdc++.h>
using namespace std;

const int maxn = 200010;
int N;
int num[maxn];

int main() {
    scanf("%d", &N);
    scanf("%d", &num[1]);
    int a = num[1];
    int ans = 0;
    int temp = 1;
    for(int i = 2; i <= N; i ++) {
        scanf("%d", &num[i]);
        if(2 * a >= num[i]) {
            ans = max(ans, i - temp);
        }
        else
            temp = i;
        a = num[i];
    }
    printf("%d\n", ans + 1);
    return 0;
}