There are 25 horses and you need to figure out the 3 fastest horses by placing them into races. You can race 5 horses at a time. Each horse always finishes the race in the same amount of time and there are no ties. The only information you get from each race is the order that the 5 horses finished in. You will not get any information regarding the time taken for the horses to complete the race.

What is the smallest number of races you need to find the 3 fastest horses in order?

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