Problem Description There is a special number sequence which has n+1 integers. For each number in sequence, we have two rules:
● a
i ∈ [0,n]
● a
i ≠ a
j( i ≠ j )
For sequence a and sequence b, the integrating degree t is defined as follows(“?” denotes exclusive or):
t = (a
0 ? b
0) + (a
1 ? b
1) +???+ (a
n ? b
n)
(sequence B should also satisfy the rules described above)
Now give you a number n and the sequence a. You should calculate the maximum integrating degree t and print the sequence b.
Input There are multiple test cases. Please process till EOF.
For each case, the first line contains an integer n(1 ≤ n ≤ 10
5), The second line contains a
0,a
1,a
2,...,a
n.
Output For each case, output two lines.The first line contains the maximum integrating degree t. The second line contains n+1 integers b
0,b
1,b
2,...,b
n. There is exactly one space between b
i and b
i+1
(0 ≤ i ≤ n - 1). Don’t ouput any spaces after b
n.
Sample Input
4
2 0 1 4 3
Sample Output
20
1 0 2 3 4
尽量错开对应位置的0,1即可，就是说将对应位的二进制按位取反了，当然不能用~符号
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