You are given *n* numbers *a*<sub class="lower-index">1</sub>, *a*<sub class="lower-index">2</sub>, ..., *a*<sub class="lower-index">*n*</sub>. You can perform at most *k* operations. For each operation you can multiply one of the numbers by *x*. We want to make <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/1faa5be276f646dfb07d2a01bf67449ad72c0ef7.png" style="max-width: 100.0%;max-height: 100.0%;"/> as large as possible, where <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/ddbf6923ea3f08cb83b08ed026f40a80751dff3f.png" style="max-width: 100.0%;max-height: 100.0%;"/> denotes the bitwise OR. 

Find the maximum possible value of <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/1faa5be276f646dfb07d2a01bf67449ad72c0ef7.png" style="max-width: 100.0%;max-height: 100.0%;"/> after performing at most *k* operations optimally.
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 *a*<sub class="lower-index">1</sub>, *a*<sub class="lower-index">2</sub>, ..., *a*<sub class="lower-index">*n*</sub> (0 ≤ *a*<sub class="lower-index">*i*</sub> ≤ 10<sup class="upper-index">9</sup>).
def main():
    n, k, x = map(int, input().split())
    aa = list(map(int, input().split()))
    x, lo, u = x ** k, [0] * n, 0
    for i, a in enumerate(aa):
        lo[i] = u
        u |= a
    hi, u = [], 0
    for a in reversed(aa):
        hi.append(u)
        u |= a
    hi.reverse()
    for i, u, a, v in zip(range(n), lo, aa, hi):
        aa[i] = a * x | u | v
    print(max(aa))


if __name__ == '__main__':
    main()
