Even Frequency - Facebook Top Interview Questions
Problem Statement :
Given a list of integers nums, return whether all numbers appear an even number of times.
This should be done in \mathcal{O}(1)O(1) space.
Constraints
n ≤ 100,000 where n is the length of nums
Example 1
Input
nums = [2, 4, 4, 2, 3, 3]
Output
True
Explanation
Every number occurs twice.
Example 2
Input
nums = [1]
Output
False
Explanation
1 occurs an odd number of times.
Solution :
Solution in C++ :
bool solve(vector<int>& nums) {
int a = 0, b = 0;
for (auto x : nums) {
a ^= x;
b ^= x + 1;
}
return !a && !b;
}
Solution in Java :
import java.util.*;
class Solution {
public boolean solve(int[] nums) {
if (nums.length == 0 || nums.length % 2 == 1) {
return false;
}
Arrays.sort(nums);
for (int i = 0; i < nums.length; i += 2) {
if (nums[i] != nums[i + 1]) {
return false;
}
}
return true;
}
}
Solution in Python :
class Solution:
def solve(self, nums):
xor = 0
for x in nums:
# constants are primes arbitrarily taken from xxhash
hash = ((x + 0x9E3779B1) * 0x85EBCA77) & 0xFFFFFFFF
xor ^= hash
return xor == 0
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