You are given a sequence a1,a2,...,an, and a number b. Your task is to find algorithm which counts all pairs (l,r) such that median of sequence a(l),a(l+1),..,a(r) is bigger than b. My solution on exam was O(n^2logn) which used order statistics tree. Other solutions ...
What do you mean by " An algorithm taking Theta(n log n) is far preferential since it takes at least n log n (Omega n log n) and no more than n log n (Big O n log n). ", as in, is it the exact complexity of a algorithm as you wrote said at least Omega(nlogn) and at...
The Twin Primes Conjecture is Π2: for all n, there exists a p > n such that p and p + 2 are prime. To make this a Π1-sentence, we'd need to strengthen the conjecture by including an explicit lower bound—say, that there are at least log log log n twin primes less than n...
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The Twin Primes Conjecture is Π2: for all n, there exists a p > n such that p and p + 2 are prime. To make this a Π1-sentence, we'd need to strengthen the conjecture by including an explicit lower bound—say, that there are at least log log log n twin primes less than n...
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Innovativeness items included such questions as "I tend to try new and unusual activities that are not typical but not necessarily risky" and "I prefer to try my own unique way when learning new things rather than doing it like everyone else does". Proactivness involved items like "I ...
Interspecific hybrids of the F2 generation derived by open crosses between plants of the F1 generation (FC320, FC230) had a better ability to set seed than F2 hybrids generated from the self-pollination of F1 hybrids. In the vegetative stage, F2 plants had bigger and thicker leaves, larger ...
As we only had two indicators of family SES, we used a manifest composite variable rather than a latent factor in the model. Use of a manifest variable representing family SES likely underestimated the association with microbiome, as it included measurement error. Using maternal and paternal ...