579_D. "Or" Game
You are given n numbers a1, a2, ..., an. You can perform at most k operations. For each operation you can multiply one of the numbers by x. We want to make <image> as large as possible, where <image> denotes the bitwise OR. 

Find the maximum possible value of <image> after performing at most k operations optimally.

Input

The first line contains three integers n, k and x (1 ≤ n ≤ 200 000, 1 ≤ k ≤ 10, 2 ≤ x ≤ 8).

The second line contains n integers a1, a2, ..., an (0 ≤ ai ≤ 109).

Output

Output the maximum value of a bitwise OR of sequence elements after performing operations.

Examples

Input

3 1 2
1 1 1


Output

3


Input

4 2 3
1 2 4 8


Output

79

Note

For the first sample, any possible choice of doing one operation will result the same three numbers 1, 1, 2 so the result is <image>. 

For the second sample if we multiply 8 by 3 two times we'll get 72. In this case the numbers will become 1, 2, 4, 72 so the OR value will be 79 and is the largest possible result.
```python
n, k, x = map(int, input().split())
A = list(map(int, input().split()))

L, R = [0]*(n+1), [0]*(n+1)
for i in range(n):
    L[i+1] = A[i] | L[i]
for i in range(n-1, -1, -1):
    R[i] = A[i] | R[i+1]
x = x**k

ans = 0
for i in range(n):
    ans = max(ans, L[i] | (A[i]*x) | R[i+1])

print(ans)

```