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.

Example 1:
Input: [5,7]
Output: 4

Example 2:
Input: [0,1]
Output: 0

难度:medium

题目:
给定范围 [m, n] 0 <= m <= n <= 2147483647, 返回这个范围内所有数的与计算结果。

思路:
m 到 n 之间所有数的位与计算,可归结为找出最左边的不同的位即(1, 0) (0, 1),然后把当前位与之后的位都置成0.
例如,二进制数

ABCD EFGH IGKL MN
1001 0001 1000 01,
1010 0110 1010 00

最左边的不同位为C位,C位及C位之后的位都必然经过0,1 之间的变换,因此位与计算就等于将C位及之后的所有位置成0.

Runtime: 5 ms, faster than 100.00% of Java online submissions for Bitwise AND of Numbers Range.

class Solution {
    public int rangeBitwiseAnd(int m, int n) {
        int result = m & n;
        for (int i = 0; m != n; i++, m >>= 1, n >>= 1) {
            if (1 == ((m ^ n) & 1)) {
                result = result >> i << i;
            }
        }

        return result;
    }
}
    原文作者:linm
    原文地址: https://segmentfault.com/a/1190000018026521
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