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Give the exact formula (as a function of n) for the number of times “bingo” is printed by Algorithm {BingoPrint} below.
First express it as a summation formula and justify it. Then simplify it to obtain a closed-form expression. Show your derivation.
(b) Give the asymptotic value of the number of “bingo”s using the Theta-notation. Include a brief justification. You will need a formula for the sum of consecutive squares that you can find on the internet.
ALGORITHM BINGOPRINT (n: integer)
for i <- 1 to 2n + 1 do
for j <- to i^2 + 2i do
print("bingo")
[meteor_slideshow slideshow="arp2"]
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