13:I[87,["736","static/chunks/89fc4f0e-9e200ae6a0166583.js","401","static/chunks/363642f4-32903b9154b7835a.js","153","static/chunks/153-58eddeb032cc4608.js","131","static/chunks/131-05ce00cfd760e12b.js","87","static/chunks/87-b76b60eef573119a.js","286","static/chunks/app/problem/%5Bid%5D/page-45cf3875257fc32e.js"],"Header"] 14:I[1742,["736","static/chunks/89fc4f0e-9e200ae6a0166583.js","401","static/chunks/363642f4-32903b9154b7835a.js","153","static/chunks/153-58eddeb032cc4608.js","131","static/chunks/131-05ce00cfd760e12b.js","87","static/chunks/87-b76b60eef573119a.js","286","static/chunks/app/problem/%5Bid%5D/page-45cf3875257fc32e.js"],"ProblemView"] 15:T63f,

Given an integer $$$n$$$, find the maximum value of integer $$$k$$$ such that the following condition holds:

$$$n$$$ & ($$$n-1$$$) & ($$$n-2$$$) & ($$$n-3$$$) & ... ($$$k$$$) = $$$0$$$ where & denotes the bitwise AND operation.

Input

The first line contains a single integer $$$t$$$ ($$$1 \le t \le 3 \cdot 10^4$$$). Then $$$t$$$ test cases follow.

The first line of each test case contains a single integer $$$n$$$ ($$$1 \le n \le 10^9$$$).

Output

For each test case, output a single integer — the required integer $$$k$$$.

Note

In the first testcase, the maximum value for which the continuous & operation gives 0 value, is 1.

In the second testcase, the maximum value for which the continuous & operation gives 0 value, is 3. No

And Then There Were K

Examples