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【leetcode】982. Triples with Bitwise AND Equal To Zero

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題目如下:

Given an array of integers A, find the number of triples of indices (i, j, k) such that:

  • 0 <= i < A.length
  • 0 <= j < A.length
  • 0 <= k < A.length
  • A[i] & A[j] & A[k] == 0, where & represents the bitwise-AND operator.

Example 1:

Input: [2,1,3]
Output: 12
Explanation: We could choose the following i, j, k triples:
(i=0, j=0, k=1) : 2 & 2 & 1
(i=0, j=1, k=0) : 2 & 1 & 2
(i=0, j=1, k=1) : 2 & 1 & 1
(i=0, j=1, k=2) : 2 & 1 & 3
(i=0, j=2, k=1) : 2 & 3 & 1
(i=1, j=0, k=0) : 1 & 2 & 2
(i=1, j=0, k=1) : 1 & 2 & 1
(i=1, j=0, k=2) : 1 & 2 & 3
(i=1, j=1, k=0) : 1 & 1 & 2
(i=1, j=2, k=0) : 1 & 3 & 2
(i=2, j=0, k=1) : 3 & 2 & 1
(i=2, j=1, k=0) : 3 & 1 & 2

Note:

  1. 1 <= A.length <= 1000
  2. 0 <= A[i] < 2^16

解題思路:我的方法和 3Sum 題一樣,就是先算出A中任意兩個數的與值,然後再和A中所有值與操作判斷是否為0,耗時3秒多。不管怎麽樣,至少通過了。

Runtime: 3772 ms, faster than 39.02% of Python online submissions for Triples with Bitwise AND Equal To Zero.

代碼如下:

class Solution(object):
    def countTriplets(self, A):
        
""" :type A: List[int] :rtype: int """ dic = {} for i in A: for j in A: v = i & j dic[v] = dic.setdefault(v,0) + 1 res = 0 for i in A: for k,v in dic.iteritems(): if i & k == 0: res
+= v return res

【leetcode】982. Triples with Bitwise AND Equal To Zero