AMC / AIME · Floor and Ceiling · AIME / USAJMO / AMO
Floor and Ceiling: (Proof track.) Give a complete justification. Find the greatest integer less than math.
Integer parts.
Try the problem
**(Proof track.)** Give a complete justification. Find the greatest integer less than .
Hint and answer
Concept to use
Contest floors.
Hint
Replace the floor or ceiling with its sharp bounding inequalities.
Answer
1
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