CODE 44. Gray Code

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The gray code is a binary numeral system where two successive values differ in only one bit.
Given a non-negative integer n representing the total number of bits in the code, print the sequence of gray code. A gray code sequence must begin with 0.
For example, given n = 2, return [0,1,3,2]. Its
gray code sequence is:
00 - 0
01 - 1
11 - 3
10 - 2

Note:
For a given n, a gray code sequence is not uniquely defined.
For example, [0,2,3,1] is also a valid gray code sequence according
to the above definition.
For now, the judge is able to judge based on one instance of gray code sequence. Sorry about that.

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public ArrayList<Integer> grayCode(int n) {
// Start typing your Java solution below
// DO NOT write main() function
if (n == 0) {
ArrayList<Integer> nums = new ArrayList<Integer>();
nums.add(0);
return nums;
}
ArrayList<Integer> nums = new ArrayList<Integer>();
char[] cs = new char[n];
int max = (int) (Math.pow(2, n) - 1);
for (int i = 0; i <= max; i++) {
for (int j = 0; j < n; j++) {
int yushu = (int) (i % Math.pow(2, 2 + j));
if (yushu < Math.pow(2, 1 + j)) {
if (yushu < Math.pow(2, j)) {
cs[n - j - 1] = '0';
} else {
cs[n - j - 1] = '1';
}
} else {
if ((yushu - Math.pow(2, 1 + j)) < Math.pow(2, j)) {
cs[n - j - 1] = '1';
} else {
cs[n - j - 1] = '0';
}
}
}
int num = Integer.valueOf(String.valueOf(cs), 2);
nums.add(num);
}
return nums;
}
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