1.求整数最大的连续0的个数 BinaryGap Find longest sequence of zeros in binary representation of an integer....

本文介绍了一种算法,用于找出一个正整数二进制表示中由1包围的最长连续0序列的长度。该算法将整数转换为二进制字符串,并遍历此字符串来确定最长的连续0序列。

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求整数最大的连续0的个数 

A binary gap within a positive integer N is any maximal sequence of consecutive zeros that is surrounded by ones at both ends in the binary representation of N. For example, number 9 has binary representation 1001 and contains a binary gap of length 2. The number 529 has binary representation 1000010001 and contains two binary gaps: one of length 4 and one of length 3. The number 20 has binary representation 10100 and contains one binary gap of length 1. The number 15 has binary representation 1111 and has no binary gaps. Write a function: class Solution { public int solution(int N); } that, given a positive integer N, returns the length of its longest binary gap. The function should return 0 if N doesn't contain a binary gap. For example, given N = 1041 the function should return 5, because N has binary representation 10000010001 and so its longest binary gap is of length 5. Assume that: N is an integer within the range [1..2,147,483,647]. Complexity: expected worst-case time complexity is O(log(N)); expected worst-case space complexity is O(1).

 

package com.codility;
public class Test01 {
    public int solution(int N) {
        if(N<=0){
            return 0;
        }
        String str = Integer.toBinaryString(N);
        int size = str.length();
        int count=0;
        int max = 0;
        for(int i=0;i<size;i++){
            String str01 = str.substring(i, i+1);
            if(str01.equals("1")){
                if(count>0){
                    max = Math.max(count, max);
                }
                count = 0;
            }
            if(str01.equals("0")){
                count ++;
            }
        }
        return max;
    }
    public static void main(String[] args) {
        String str = Integer.toBinaryString(20);
        System.out.println(str);
//        System.out.println(str.substring(0, 1));
        Test01 t01 = new Test01();
        System.out.println(t01.solution(5));
        System.out.println(t01.solution(20));
        System.out.println(t01.solution(529));
    }
}

 

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