**Time limit:**2.00 s**Memory limit:**512 MB

Implement a generalized version VByte encoding and decoding from A31 but fast.

# Input

A binary input stream, consisting of 64-bit unsigned integers. The first integer, n, is how many additional integers are in the input.

# Output

After encoding the n integers, output to `cerr`

the number of blocks used to encode the input, after this, repeate back the input sequence.

# Constraints

- n << 10^8
- k < 56

# Example

Input:

With k = 4

2, 7, 500

(in 64-bit binary)

Output:

4, 7, 500

I.e. The number of blocks = 4, followed by the input integers 7 and 500.