Difference between revisions of "2023 SSMO Relay Round 5 Problems/Problem 3"

(Created page with "==Problem== Let <math>T=</math> TNYWR. Suppose that <math>x^2+y^2 = N.</math> Find the remainder when the expected value of the square of the maximum value <math>ax+by</math>...")
 
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Latest revision as of 22:30, 15 December 2023

Problem

Let $T=$ TNYWR. Suppose that $x^2+y^2 = N.$ Find the remainder when the expected value of the square of the maximum value $ax+by$ is divided by $100,$ where $a$ and $b$ distinct members from the set $\{1,2,\dots,N\}.$

Solution