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Combined display of all available logs of The Algorithm Design Manual Solution Wiki. You can narrow down the view by selecting a log type, the username (case-sensitive), or the affected page (also case-sensitive).

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  • 19:39, 10 September 2020 Algowikiadmin talk contribs created page 2.13 (Created page with "because <math> n^2 <= 2^n </math> for every n greater than 4 . Hence, we can say that <math> n^2 < = C* 2^n </math> for every n>=4 and so <math> n^2 = O(2^n)</math>. Back t...")
  • 19:38, 10 September 2020 Algowikiadmin talk contribs created page 2.11 (Created page with " Back to Chapter 2")
  • 18:53, 9 September 2020 Algowikiadmin talk contribs created page 2.9 (Created page with "=2-8.= For each of the following pairs of functions, either <math>f(n)</math> is in <math>O(g(n))</math>, <math>f(n)</math> is in <math>\Omega(g(n))</math>, or <math>f(n)=\Th...")
  • 18:51, 9 September 2020 Algowikiadmin talk contribs created page 2.7 (Created page with "'''n = 1''' The single element array is already its max. Loop is not entered. Max is returned Let for '''n=k''', the algorithm is true For '''n = k+1''' ,two cases arise :...")
  • 18:50, 9 September 2020 Algowikiadmin talk contribs created page 2.5 (Created page with " Back to Chapter 2")
  • 18:49, 9 September 2020 Algowikiadmin talk contribs created page 2.3 (Created page with "<math>f(n) = (((n^2)(n+1)^2)/8) + n(n+1)(2n+1)/12</math> ---- This problem does appear to break down into a series of nested summations: <math> \displaystyle\sum_{i=1}^{n}\te...")
  • 19:25, 8 September 2020 Algowikiadmin talk contribs created page 2.1 (Created page with " This loop can be expressed as the sum: <math> \sum_{i=1}^{n-1}\sum_{j=i+1}^{n}\sum_{k=1}^{j}1 </math> Reducing this, sum by sum from the rhs: <math> \begin{align} &\sum_{i...")
  • 12:25, 1 September 2020 Algowikiadmin talk contribs created page 1.37 (Created page with "I'm envisioning the United States as a rectangle 1000 miles high and 3000 miles long. I'm not including Alaska, because, although it's large, it doesn't have many roads. Much...")
  • 12:25, 1 September 2020 Algowikiadmin talk contribs created page 1.35 (Created page with "'''Assumptions''': : approx 400000 cars : each car needs to refuel once a week : each gas station is open 10 hours a day and refuels 10 cars an hour : there are enough station...")
  • 12:23, 1 September 2020 Algowikiadmin talk contribs created page 1.33 (Created page with " Answer: Seven races. '''First 5 races:''' Divide 25 horses into 5 groups and that gives you 5 winners. '''Sixth race:''' Now race 5 of them that will give you winner and wh...")
  • 12:21, 1 September 2020 Algowikiadmin talk contribs created page 1.31 (Created page with "Back to Chapter 1.")
  • 12:20, 1 September 2020 Algowikiadmin talk contribs created page 1.19 (Created page with "<b>Step 1:</b> Show that the statement holds for the basis case <math>n = 1</math><br> :<math>E(n) = n - 1</math><br> :<math>E(1) = 1 - 1 = 0</math>. A tree with one node has...")
  • 12:19, 1 September 2020 Algowikiadmin talk contribs created page 1.17 (Created page with "<b>Step 1:</b> Show that the statement holds for the basis case <math>n = 1</math><br> :<math>\frac {1}{i(i+1)} = \frac {n}{n+1}</math><br><br> :<math>\frac {1}{1(1+1)} = \fr...")
  • 12:18, 1 September 2020 Algowikiadmin talk contribs created page 1.15 (Created page with "Call the statement <math>S_n</math> and the general term <math>a_n</math><br> <b>Step 1:</b> Show that the statement holds for the basis case <math>n = 0</math><br> :<math>a...")
  • 12:18, 1 September 2020 Algowikiadmin talk contribs created page 1.13 (Created page with "The basis case is when <math>n = 0</math><br> :<math>\sum_{i=1}^0 i^2 = 0^2 = 0 </math><br> and using <math>n=0</math> in the formula <math>\frac {n(n + 1)(2 \cdot n + 1)} {6}...")
  • 12:15, 1 September 2020 Algowikiadmin talk contribs created page 1.27 (Created page with "Return to Chapter 1.")
  • 12:07, 1 September 2020 Algowikiadmin talk contribs created page 1.29 (Created page with "1. If there are 10 times as many items, and it is proportional to <math>n^2</math>, it will take <math>10^2</math> times as long or 100 seconds. 2. If it proportional to <math...")
  • 12:06, 1 September 2020 Algowikiadmin talk contribs created page 1.25 (Created page with "I estimate the mouth of the Mississippi at 1 mile wide and 100 feet, or 0.02 miles, deep. If the water were moving at 10 miles an hour, that means that 10 miles x 0.02 miles x...")
  • 12:04, 1 September 2020 Algowikiadmin talk contribs created page 1.23 (Created page with "1 million seconds = 277.777778 hours 1 million seconds = 11.5740741 days ---- Possible approach: a) There are 3600s in an hour b) Eliminating the thousands, we get 1000...")
  • 12:03, 1 September 2020 Algowikiadmin talk contribs created page 1.21 (Created page with "Back to Chapter 1.")
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