互除法を使えば求められます。
42=29×1+13 → 13=42×1-29×1
29=13×2+3 → 3=29×1-13×2
13=3×4+1
→1=13×1-3×4
=13×1-(29×1-13×2)×4
=13×9-29×4
=(42×1-29×1)×9-29×4
=42×9-29×13
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