异或基本性质:
- 相同为 0, 不同为 1
- x ^ x = 0
- x ^ 0 = x
a, b交换
a = a ^ b
b = a ^ b
a = a ^ b
证:
(1) a = a ^ b => a = a ^ b, b = b
(2) b = a ^ b => a = a ^ b, b = a ^ b ^ b = a ^ 0 = a
(3) a = a ^ b => a = a ^ b ^ a = b ^ 0 = b
备注:需考虑内存溢出
a = a ^ b
b = a ^ b
a = a ^ b
(1) a = a ^ b => a = a ^ b, b = b
(2) b = a ^ b => a = a ^ b, b = a ^ b ^ b = a ^ 0 = a
(3) a = a ^ b => a = a ^ b ^ a = b ^ 0 = b
备注:需考虑内存溢出
本文标题:利用异或实现两个数交换原理
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