位运算·操作·driven·solution·strategy 模式
11 道题目
模式页适合用来建立可复用解题框架。先识别题目特征，再按固定流程解释状态定义、转移和边界。
识别信号
- They want you to notice that iterating from left to right is the wrong model once the interval gets large.
- They expect you to explain why differing lower bits vanish, not just recite a shift loop.
- Look for a candidate’s understanding of bitwise operations like XOR.
解题流程
- 1. 明确窗口/状态定义
- 2. 更新状态并维护约束
- 3. 用边界样例验证
常见失分点
- Looping through every number in the range times out conceptually and misses the actual Bit Manipulation pattern.
- Candidates may use inefficient methods such as converting integers to binary strings and counting differences, which is slower.
- Forgetting to handle edge cases like when `num` is a single bit (i.e., 1 or 0).
推荐题单梯度
数字范围按位与
Use shared high bits and bit clearing to solve Bitwise AND of Numbers Range without scanning every value.
汉明距离
Calculate the Hamming distance between two integers by counting differing bit positions.
数字的补数
The Number Complement problem requires flipping bits in a number’s binary representation to return its complement.
交替位二进制数
Check whether a given integer has alternating bits using a bit manipulation approach.
二进制间距
Find the maximum distance between consecutive 1's in a number's binary form using precise bit manipulation techniques.
十进制整数的反码
In this problem, you need to return the complement of a given integer by flipping its binary digits.
或运算的最小翻转次数
Determine the minimum number of bit flips required in two integers so that their OR equals a target integer efficiently.
转换数字的最少位翻转次数
Determine the minimum number of bit flips required to convert one integer to another using precise bit manipulation.
奇偶位数
Count the number of 1s at even and odd indices in the binary representation of a given integer n.
数组最后一个元素的最小值
Construct an array where elements are greater than the previous one, and the bitwise AND of all elements equals a given …
使两个整数相等的位更改次数
Find the number of bit changes to make two integers equal using bit manipulation techniques.