[Python] How to map values into multiple columns of a dataframe

Given df1

id1​

id2​

1​

3​

4​

2​

2​

1​

and df2

id3​

id4​

1​

a​

2​

b​

3​

c​

4​

d​

I want the results of df1 to be as follows:

id1​

id2​

a​

c​

d​

b​

b​

a​

How can I accomplish this?

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