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Omni-MATH / In three piles there are 51,49, and 5 stones, respectively. You can combine any two piles into one pile or divide a pile consisting of an even number of stones into two equal piles…

Problem

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problem

In three piles there are 51,4951, 49, and 55 stones, respectively. You can combine any two piles into one pile or divide a pile consisting of an even number of stones into two equal piles. Is it possible to get 105105 piles with one stone in each?
Plain-text mathematical notation (without MathML)
In three piles there are 51,49, and 5 stones, respectively. You can combine any two piles into one pile or divide a pile consisting of an even number of stones into two equal piles. Is it possible to get 105 piles with one stone in each?
Original LaTeX notation
In three piles there are $51, 49$, and $5$ stones, respectively. You can combine any two piles into one pile or divide a pile consisting of an even number of stones into two equal piles. Is it possible to get $105$ piles with one stone in each?

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Source and history

task_id
0f9fa13c-1c52-50c9-950f-dfe838596a64
task_key
test--0f9fa13c-1c52-50c9-950f-dfe838596a64
task_revision_id
1
config / split
/ test

Official source

initial import