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Java-based LeetCode algorithm problem solutions, regularly updated
package g0001_0100.s0089_gray_code;
// #Medium #Math #Bit_Manipulation #Backtracking
// #2022_06_20_Time_3_ms_(98.59%)_Space_47.3_MB_(99.65%)
import java.util.Arrays;
import java.util.List;
/**
* 89 - Gray Code\.
*
* Medium
*
* An **n-bit gray code sequence** is a sequence of 2n
integers where:
*
* * Every integer is in the **inclusive** range [0, 2n - 1]
,
* * The first integer is `0`,
* * An integer appears **no more than once** in the sequence,
* * The binary representation of every pair of **adjacent** integers differs by **exactly one bit** , and
* * The binary representation of the **first** and **last** integers differs by **exactly one bit**.
*
* Given an integer `n`, return _any valid **n-bit gray code sequence**_.
*
* **Example 1:**
*
* **Input:** n = 2
*
* **Output:** [0,1,3,2]
*
* **Explanation:** The binary representation of [0,1,3,2] is [00,01,11,10]. - 00 and 01 differ by one bit - 01 and 11 differ by one bit - 11 and 10 differ by one bit - 10 and 00 differ by one bit [0,2,3,1] is also a valid gray code sequence, whose binary representation is [00,10,11,01]. - 00 and 10 differ by one bit - 10 and 11 differ by one bit - 11 and 01 differ by one bit - 01 and 00 differ by one bit
*
* **Example 2:**
*
* **Input:** n = 1
*
* **Output:** [0,1]
*
* **Constraints:**
*
* * `1 <= n <= 16`
**/
public class Solution {
public List grayCode(int n) {
Integer[] n1 = {0};
int shift = 1;
while (n > 0) {
Integer[] temp = new Integer[n1.length * 2];
int pos = 0;
for (Integer integer : n1) {
temp[pos++] = integer;
}
for (int i = n1.length - 1; i >= 0; i--) {
temp[pos++] = n1[i] | shift;
}
n1 = temp;
shift <<= 1;
n--;
}
return Arrays.asList(n1);
}
}
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