Problem:
Score : 200 points

Problem Statement

There are N positive integers written on a blackboard: A_1, ..., A_N.

Snuke can perform the following operation when all integers on the blackboard are even:

Replace each integer X on the blackboard by X divided by 2.

Find the maximum possible number of operations that Snuke can perform.

Constraints

1 \leq N \leq 200

1 \leq A_i \leq 10^9

Input

Input is given from Standard Input in the following format:

N
A_1 A_2 ... A_N

Output

Print the maximum possible number of operations that Snuke can perform.

Sample Input 1

3
8 12 40

Sample Output 1

2

Initially, [8, 12, 40] are written on the blackboard.
Since all those integers are even, Snuke can perform the operation.

After the operation is performed once, [4, 6, 20] are written on the blackboard.
Since all those integers are again even, he can perform the operation.

After the operation is performed twice, [2, 3, 10] are written on the blackboard.
Now, there is an odd number 3 on the blackboard, so he cannot perform the operation any more.

Thus, Snuke can perform the operation at most twice.

Sample Input 2

4
5 6 8 10

Sample Output 2

0

Since there is an odd number 5 on the blackboard already in the beginning, Snuke cannot perform the operation at all.

Sample Input 3

6
382253568 723152896 37802240 379425024 404894720 471526144

Sample Output 3

8

Solution in JavaScript (node.js v5.12) (judge verdict: Accepted)

"use strict";

var input = require("fs").readFileSync("/dev/stdin", "utf8");
var cin = input.split(/ |\n/),
    cid = 0;

function next() {
    return +cin[cid++];
} // number一個取得
function nextstr() {
    return cin[cid++];
} // 文字列一個取得
function nextbig() {
    return BigInt(cin[cid++]);
} // BigInteger一個取得
// 長さnの配列として取得。aは文字列フラグ
function nexts(n, a) {
    return a ? cin.slice(cid, cid += n) : cin.slice(cid, cid += n).map(a => +a);
}
// 長さnのBigInt配列として取得。
function nextsbig(n) {
    return cin.slice(cid, cid += n).map(a => BigInt(a));
}
// w個ずつを組にして長さhの配列。aは文字列フラグ。
function nextm(h, w, a) {
    var r = [],
        i = 0;
    if (a)
        for (; i < h; i++) r.push(cin.slice(cid, cid += w));
    else
        for (; i < h; i++) r.push(cin.slice(cid, cid += w).map(a => +a));
    return r;
}
// 多次元配列。v,a1,a2,a3 なら、3次元。[[値vで長さa3の配列]をa2個並べた配列]をa1個並べた配列。
function xArray(v) {
    var a = arguments,
        l = a.length,
        r = "Array(a[" + --l + "]).fill().map(x=>{return " + v + ";})";
    while (--l) r = "Array(a[" + l + "]).fill().map(x=>" + r + ")";
    return eval(r);
}


console.log(main().toString());

function main() {
    let n = next();
    let a = nexts(n);
    for (let i = 0; i < 30; i++) {
        for (let j = 0; j < n; j++) {
            if ((a[j] & 1) == 0) {
                a[j] = a[j] >> 1;
            } else {
                return i;
            }
        }
    }
}