logic - algorithm to convert from money to other without directly conversor -


i need currency conversor.

suppose have list of objects currency money , value in other. example:

from value usd-can 0,1 can-usd 0,4 usd-aud 0.5 aud-usd 0,6 aud-eur 1 eur-aud 3

and need convert list of values currency money eur example

1,22 usd 1,4 can 5 aud

there values convertions directly (aud-eur), not(usd-eur,can-eur).

witch best way or algorithm this..?

construct directed graph nodes currencies , edges direct conversions. find shortest path(s) source currency target currency.

you can set edge weights log(conversion-rate) find best conversion path (taking log adding weights instead of multiplying them).

you may try detect 2-point arbitrage, 3-point arbitrage (look here example) or n-point arbitrage (look here).


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