Close Enough

Close Enough

Moderate
DE EN Français PL UK ZH-HANS

Sauf lorsque les facteurs premiers de a, b coopèrent déjà, la main de fer de Fundamental Theorem of Arithmetic dicte que les puissances entières a**pa et b**pb ne peuvent jamais être égales pour deux exposants entiers positifs pa et pb. Toutefois, dans l'esprit jovial de “close enough for government work”, nous définissons deux puissances de ce type comme étant "égales" si leur différence abs(a**pa-b**pb) multipliée par tolerance est au plus égale à la plus petite de ces puissances. (Cette définition évite intentionnellement la division pour rester à la fois rapide et précise pour les entiers arbitrairement grands) Par exemple, tolerance=100 s'attend à ce que a**pa et b**pb soient à 1 % près.

Pour des entiers positifs donnés, a, b renvoie les plus petits exposants d'entiers positifs (pa, pb) qui satisfont à l'exigence de tolerance.

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