Replace pattern with 1, 2, 3, ... on each line

For each line replace a search pattern (in this case $) with numbers starting at 1 and then increasing by 1 for each replaced match. a$b$c$ -> a0b1c2

Input

I can't see the $ for all the $,
But there $ not $ $ tomorrow.
$ she can do $ and 4,
$ the $ in the $ and $ the $.

Output

I can't see the 1 for all the 2,
But there 1 not 2 3 tomorrow.
1 she can do 2 and 4,
1 the 2 in the 3 and 4 the 5.