Polycarpus has a sequence, consisting of *n* non-negative integers: *a*<sub class="lower-index">1</sub>, *a*<sub class="lower-index">2</sub>, ..., *a*<sub class="lower-index">*n*</sub>.

Let's define function *f*(*l*, *r*) (*l*, *r* are integer, 1 ≤ *l* ≤ *r* ≤ *n*) for sequence *a* as an operation of bitwise OR of all the sequence elements with indexes from *l* to *r*. Formally: *f*(*l*, *r*) = *a*<sub class="lower-index">*l*</sub> | *a*<sub class="lower-index">*l* + 1</sub> | ...  | *a*<sub class="lower-index">*r*</sub>. 

Polycarpus took a piece of paper and wrote out the values of function *f*(*l*, *r*) for all *l*, *r* (*l*, *r* are integer, 1 ≤ *l* ≤ *r* ≤ *n*). Now he wants to know, how many distinct values he's got in the end. 

Help Polycarpus, count the number of distinct values of function *f*(*l*, *r*) for the given sequence *a*.

Expression *x* | *y* means applying the operation of bitwise OR to numbers *x* and *y*. This operation exists in all modern programming languages, for example, in language C++ and Java it is marked as "|", in Pascal — as "or".
The first line contains integer *n* (1 ≤ *n* ≤ 10<sup class="upper-index">5</sup>) — the number of elements of sequence *a*. The second line contains *n* space-separated 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">6</sup>) — the elements of sequence *a*.
import sys
input = sys.stdin.readline

n = int(input())
d = [1]*(10**6+1)
w = list(map(int, input().split()))
s = set()
for i in range(n):
    q = set()
    for j in s:
        if d[j]:
            d[j] = 0
        q.add(j|w[i])
    q.add(w[i])
    s = q.copy()
for j in s:
    if d[j]:
        d[j] = 0
print(sum(1 for i in d if i == 0))

