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Vyxal, 13 bytes
0?(»Þ([Ḇ»↜Œ∑∫
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A port of the 05AB1E answer
Explained
0?(»Þ([Ḇ»↜Œ∑∫
0? # Push 0 followed by the input number
( # Input number of times:
»Þ([Ḇ» # Push the number 433544355
↜Œ # And get the indexes corresponding to the numbers in the second last item on the stack
∑...
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