Monk and the box of cookies
Tag(s):

## Basics of bit manipulation, Bit manipulation, Very-Easy

Problem
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Suzie came over to Monk's place today with a box of Monk's favorite cookies! But Monk has to play a game with her in order to win the cookies.
Suzie takes out N balls from her bag, each ball having an integer on it. All the integers are 32-bit. She places all these balls in a box and closes it. The game starts by Monk choosing an integer from 0 to 31, representing a bit position. It is called as Monk's chosen bit. Post this, Suzie draws 1 balls from the box randomly and notes the integers on them. The rule is simple, Monk wins if Monk's chosen bit is set in the binary representation of the drawn ball. Help Monk choose a bit that maximizes his probability of winning the game! If there are multiple bit positions having the same probability, choose the smallest one.

Input:
The first line consists of an integer T. T testcases follow. The first line of each testcase consists of an integer N.
In next N lines, each line will contain 1 integer denoting the integers on the ball.

Output:
For each testcase, print the answer in a single line.

Constraints:
$1 \leq T \leq 10$
$2 \leq N \leq 10^{4}$
$0 \leq Integers \leq 2147483647$

SAMPLE INPUT
1
4
2
4
2
8
SAMPLE OUTPUT
1
Explanation

He chooses the bit at position 1.

Time Limit: 1.0 sec(s) for each input file.
Memory Limit: 256 MB
Source Limit: 1024 KB
Marking Scheme: Marks are awarded when all the testcases pass.
Allowed Languages: Bash, C, C++, C++14, Clojure, C#, D, Erlang, F#, Go, Groovy, Haskell, Java, Java 8, JavaScript(Rhino), JavaScript(Node.js), Julia, Kotlin, Lisp, Lisp (SBCL), Lua, Objective-C, OCaml, Octave, Pascal, Perl, PHP, Python, Python 3, R(RScript), Racket, Ruby, Rust, Scala, Swift, Swift-4.1, TypeScript, Visual Basic

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## This Problem was Asked in Challenge Name

CodeMonk (Bit Manipulation)

OTHER PROBLEMS OF THIS CHALLENGE
• Basic Programming > Bit Manipulation
• Basic Programming > Bit Manipulation
• Algorithms > Dynamic Programming
• Algorithms > Dynamic Programming

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