Given an array of integers, every element appears three times except for one. Find that single one.
Note:
Your algorithm should have a linear runtime complexity. Could you implement it without using extra memory?
解题思路一:
一个int的长度是32,因此可以开一个长度为32的数组,表示nums中所有元素各位1的个数和,然后%3即可得到结果。
JAVA实现如下:
public int singleNumber(int[] nums) {
int[] bitnum = new int[32];
int res = 0;
for (int i = 0; i < 32; i++) {
for (int j = 0; j < nums.length; j++)
bitnum[i] += (nums[j] >> i) & 1;
res += (bitnum[i] % 3) << i;
}
return res;
}
解题思路二:
分别用三个变量bit0、bit1、bit2表示nums元素中1个数为0、1、2的分布,最后返回bit1即可,JAVA实现如下:
public int singleNumber(int[] nums) {
int bit0 = ~0, bit1 = 0, bit2 = 0, oldTwo;
for (int i = 0; i < nums.length; i++) {
oldTwo = bit2;
bit2 = (bit1 & nums[i]) | (bit2 & ~nums[i]);
bit1 = (bit0 & nums[i]) | (bit1 & ~nums[i]);
bit0 = (oldTwo & nums[i]) | (bit0 & ~nums[i]);
}
return bit1;
}