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IMO 1981 Problem 6

  • Day 2

The function f(x,y)f(x,y) satisfies: f(0,y)=y+1,f(x+1,0)=f(x,1),f(x+1,y+1)=f(x,f(x+1,y))f(0,y)=y+1, f(x+1,0) = f(x,1), f(x+1,y+1)=f(x,f(x+1,y)) for all non-negative integers x,yx,y . Find f(4,1981)f(4,1981) .

Dataset text AI-MO AoPS. Quoted with source.

Official text: IMO 1981 official English paper, page 1.

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