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# 題目敘述
Given an array of integers arr
.
We want to select three indices i
, j
and k
where (0 <= i < j <= k < arr.length)
.
Let's define a
and b
as follows:
a = arr[i] ^ arr[i + 1] ^ ... ^ arr[j - 1]
b = arr[j] ^ arr[j + 1] ^ ... ^ arr[k]
Note that ^ denotes the bitwise-xor operation.
Return the number of triplets ( i
, j
and k
) Where a == b
.
# Example 1
Input: arr = [2,3,1,6,7]
Output: 4
Explanation: The triplets are (0,1,2), (0,2,2), (2,3,4) and (2,4,4)
# Example 2
Input: arr = [1,1,1,1,1]
Output: 10
# 解題思路
# Solution
class Solution { | |
public int countTriplets(int[] arr) { | |
int[] prefix = new int[arr.length + 1]; | |
for (int i = 0; i < arr.length; i++) { | |
prefix[i + 1] = prefix[i] ^ arr[i]; | |
} | |
int count = 0; | |
for (int i = 0; i < arr.length; i++) { | |
for (int k = i + 1; k < arr.length; k++) { | |
if (prefix[i] == prefix[k + 1]) { | |
count += k - i; | |
} | |
} | |
} | |
return count; | |
} | |
} |
class Solution { | |
public int countTriplets(int[] arr) { | |
int count = 0; | |
for (int i = 0; i < arr.length; i++) { | |
int curr_XOR = 0; | |
for (int k = i; k < arr.length; k++) { | |
curr_XOR ^= arr[k]; | |
if(curr_XOR == 0) count += k - i; | |
} | |
} | |
return count; | |
} | |
} |
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