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Performance is a subset of Optimization: performance is the goal when you want the execution time of your program or routine to be optimal.

15 votes

Finding two consecutive triangular numbers with a given target sum

Performance You can find the solution without any loops: The xth triangle number is given by: $$\frac{x(x+1)}{2}$$ So the sum n of the square of two consecutive triangular numbers is given by: $$\ …
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6 votes

Optimizing Pi Estimation Code

You can calculate Pi using numerical integration of the circular arc-segment centred at (0,0), from the point (radius, 0) to (radius/sqrt(2), radius/sqrt(2)) (the green area on your diagram). To do th …
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4 votes

Project Euler #7 10001st prime

Performance I can't think of anything to make it work faster You can use a Sieve of Eratosthenes to make it faster - here is some sample code (sieving only odd numbers) that I had written in Java …
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3 votes
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Project Euler 127 - abc-hits

Given that: \$GCD(a,b)=GCD(a,c)=GCD(b,c)=1\$ Since \$a\$, \$b\$ and \$c\$ have no common divisors then it also follows that: \$GCD(rad(a),rad(b))=GCD(rad(a),rad(c))=GCD(rad(b),rad(c))=1\$ And: \$rad(a …
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