#include <bits/stdc++.h>
using namespace std;
void my_file_in_out() {
  freopen("inp.txt", "r", stdin);
  freopen("out.txt", "w", stdout);
}
long long n, k;
long long first(long long x) {
  if (x == 1) return n;
  if (x > n) return 0;
  long long ans = 1;
  if (!(x & 1) && (x + 1 <= n)) ans++;
  long long l = 2 * x;
  long long r = 4;
  if (x & 1) r = 2;
  while (l <= n) {
    long long d = n - l + 1;
    if (d <= r) {
      ans += d;
      break;
    }
    ans += r;
    r *= 2;
    l *= 2;
  }
  return ans;
}
signed main() {
  ios::sync_with_stdio(0);
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  cout.tie(0);
  cin >> n >> k;
  long long l = 0;
  long long r = n + 1;
  while (r - l > 1) {
    long long m = (l + r) / 2;
    if (first(2 * m + 1) >= k)
      l = m;
    else
      r = m;
  }
  long long ans = 2 * l + 1;
  l = 1;
  r = n + 1;
  if (first(2) < k) return cout << ans, 0;
  while (r - l > 1) {
    long long m = (l + r) / 2;
    if (first(2 * m) >= k)
      l = m;
    else
      r = m;
  }
  ans = max(ans, 2 * l);
  cout << ans;
  return 0;
}

### Prompt

Your challenge is to write a cpp solution to the following problem:

At first, let's define function f(x) as follows: $$$ \begin{matrix} f(x) & = & \left\{ \begin{matrix} x/2 & \mbox{if } x  is even \\\ x - 1 & \mbox{otherwise } \end{matrix} \right. \end{matrix} $$$

We can see that if we choose some value v and will apply function f to it, then apply f to f(v), and so on, we'll eventually get 1. Let's write down all values we get in this process in a list and denote this list as path(v). For example, path(1) = [1], path(15) = [15, 14, 7, 6, 3, 2, 1], path(32) = [32, 16, 8, 4, 2, 1].

Let's write all lists path(x) for every x from 1 to n. The question is next: what is the maximum value y such that y is contained in at least k different lists path(x)?

Formally speaking, you need to find maximum y such that \left| \{ x ~|~ 1 ≤ x ≤ n, y ∈ path(x) \} \right| ≥ k.

Input

The first line contains two integers n and k (1 ≤ k ≤ n ≤ 10^{18}).

Output

Print the only integer — the maximum value that is contained in at least k paths.

Examples

Input


11 3


Output


5


Input


11 6


Output


4


Input


20 20


Output


1


Input


14 5


Output


6


Input


1000000 100


Output


31248

Note

In the first example, the answer is 5, since 5 occurs in path(5), path(10) and path(11).

In the second example, the answer is 4, since 4 occurs in path(4), path(5), path(8), path(9), path(10) and path(11).

In the third example n = k, so the answer is 1, since 1 is the only number occuring in all paths for integers from 1 to 20.

### Response

```cpp
#include <bits/stdc++.h>
using namespace std;
void my_file_in_out() {
  freopen("inp.txt", "r", stdin);
  freopen("out.txt", "w", stdout);
}
long long n, k;
long long first(long long x) {
  if (x == 1) return n;
  if (x > n) return 0;
  long long ans = 1;
  if (!(x & 1) && (x + 1 <= n)) ans++;
  long long l = 2 * x;
  long long r = 4;
  if (x & 1) r = 2;
  while (l <= n) {
    long long d = n - l + 1;
    if (d <= r) {
      ans += d;
      break;
    }
    ans += r;
    r *= 2;
    l *= 2;
  }
  return ans;
}
signed main() {
  ios::sync_with_stdio(0);
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  cout.tie(0);
  cin >> n >> k;
  long long l = 0;
  long long r = n + 1;
  while (r - l > 1) {
    long long m = (l + r) / 2;
    if (first(2 * m + 1) >= k)
      l = m;
    else
      r = m;
  }
  long long ans = 2 * l + 1;
  l = 1;
  r = n + 1;
  if (first(2) < k) return cout << ans, 0;
  while (r - l > 1) {
    long long m = (l + r) / 2;
    if (first(2 * m) >= k)
      l = m;
    else
      r = m;
  }
  ans = max(ans, 2 * l);
  cout << ans;
  return 0;
}

```