You are given an array $$A$$ of length $$N$$ and an integer $$X$$. You are required to find all the subarrays of minimum length with BITWISE OR greater than or equal to $$X$$.

Input format

The first line of input contains an integer $$T$$ denoting the number of test cases.
The first line of each test case contains $$N$$ and $$X$$.
The second line of each test case contains $$N$$ space-separated integers each representing elements of array $$A$$.

Output format
For each test case:

In the first line, print count of such subarrays (let it be C). In the next C lines, print all the subarrays (in sorted order).
Note: A subarray can be defined by 2 indexes L and R where $$L$$ and $$R$$ are starting and ending indexes of that subarray)

Constraints

1 ≤ T ≤ 3

1 ≤ N ≤ 10^5

0 ≤ A[i] ≤ 10^9

0 ≤ X ≤ 1073741823