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DS-1000 / 296 / Let's say I have a 1d numpy positive integer array like this

Problem

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Problem:
Let's say I have a 1d numpy positive integer array like this
a = array([1,2,3])
I would like to encode this as a 2D one-hot array(for natural number)
b = array([[0,1,0,0], [0,0,1,0], [0,0,0,1]])
The leftmost element corresponds to 0 in `a`(NO MATTER whether 0 appears in `a` or not.), and the rightmost corresponds to the largest number.
Is there a quick way to do this only using numpy? Quicker than just looping over a to set elements of b, that is.
A:
<code>
import numpy as np
a = np.array([1, 0, 3])
</code>
b = ... # put solution in this variable
BEGIN SOLUTION
<code>

library

Numpy

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Source and history

upstream_id / Original problem ID
296
task_id
a173222e-13f5-5ee9-ab4e-f9ea9964bea3
task_key
default--test--296
task_revision_id
1
config / split
default / test

Official source

initial import