P1618 Triple Strike (Upgraded Version)
Description
Divide the $9$ numbers $1, 2,\ldots, 9$ into three groups to form three three-digit numbers, such that these three three-digit numbers are in the ratio A:B:C. Find all triples that satisfy the condition; if there is no solution, output `No!!!`.
Thanks to Huang Xiao U Beverage for improving the problem statement.
Input Format
Three numbers, A, B, C.
Output Format
Several lines, each containing 3 numbers. Sort the lines by the first number in ascending order.
Explanation/Hint
It is guaranteed that $0 \le A < B < C \le 999$.
$\text{upd 2022.8.3}$: Added two more hack testdata.
Translated by ChatGPT 5