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DS-1000 / 387 / I have a 2-d numpy array as follows:

Problem

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Problem:
I have a 2-d numpy array as follows:
a = np.array([[1,5,9,13],
              [2,6,10,14],
              [3,7,11,15],
              [4,8,12,16]]
I want to extract it into patches of 2 by 2 sizes with out repeating the elements.
The answer should exactly be the same. This can be 3-d array or list with the same order of elements as below:
[[[1,5],
 [2,6]],   
 [[9,13],
 [10,14]],
 [[3,7],
 [4,8]],
 [[11,15],
 [12,16]]]
How can do it easily?
In my real problem the size of a is (36, 72). I can not do it one by one. I want programmatic way of doing it.
A:
<code>
import numpy as np
a = np.array([[1,5,9,13],
              [2,6,10,14],
              [3,7,11,15],
              [4,8,12,16]])
</code>
result = ... # put solution in this variable
BEGIN SOLUTION
<code>

library

Numpy

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Source and history

upstream_id / Original problem ID
387
task_id
c7e94646-93fb-5618-a414-554a0fca24ec
task_key
default--test--387
task_revision_id
1
config / split
default / test

Official source

initial import