[leetcode]题型整理之用bit统计个数

137. Single Number II

Given an array of integers, every element appears three times except for one. Find that single one.

Note:
Your algorithm should have a linear runtime complexity. Could you implement it without using extra memory?

记录32个bit每个bit出现的次数不能被3整除的几位加起来。
 
201. Bitwise AND of Numbers Range

Given a range [m, n] where 0 <= m <= n <= 2147483647, return the bitwise AND of all numbers in this range, inclusive.

For example, given the range [5, 7], you should return 4.

Credits:
Special thanks to @amrsaqr for adding this problem and creating all test cases.

public class Solution {
public int rangeBitwiseAnd(int m, int n) {
int x = 0x40000000;
//find the first binary from where m is different from n
int i = 1;
for(i = 1; i < 32; i++){
int a = m & x;
int b = n & x;
if(a != b){
break;
}
x = x >> 1;
}
i--;
//i is the last binary where m is the same as n
int y = 0x80000000;
y = y >> i;
int result = m & y;
return result;
}
}

九章的代码更短

268. Missing Number

Given an array containing n distinct numbers taken from 0, 1, 2, ..., n, find the one that is missing from the array.

For example,
Given nums = [0, 1, 3] return 2.

Note:
Your algorithm should run in linear runtime complexity. Could you implement it using only constant extra space complexity?

public class Solution {
public int missingNumber(int[] nums) {
int n = nums.length;
int sum = nums[0];
for (int i = 1; i < n; i++) {
sum = sum ^ nums[i];
}
int sum2 = 0;
for (int i = 1; i <= n; i++) {
sum = sum ^ i;
}
return sum2 ^ sum;
}
}

how to decide if a number is power of 2?

(num&-num) == num

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