7.1 Answer each part TRUE or FALSE. a. 27 O(n). b. 2O(n). "c. n² = O(nlogn). Ad. n log n = O(n). e. 3" = 20(n). f. 22" = O(23").
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Hello, can you please help with this problem and the parts that come along with it, I only need help with part a,b,e, and f.
Can you tell me if it true or false and can you give an explanation on why the answer is true or false.Can you please label the parts.
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- Q3: Interplanetary Spaceflight Milan Tusk is the richest person in the universe. After devoting decades of his life to further our space exploration technologies, he’s finally ready to retire. Being a space enthusiast, the first thing he wants to do is visit n planets p1, p2, …, pn, in this order. He’s currently on planet p0. Milan knows that the distance between planets pi and pi + 1 (for 0 ≤ i < n) is d[i]light years. His spaceship uses 1 tonne of fossil fuels per light year. He starts with a full tank and can fill up his tank at any of the n planets (but he must not run out in between two planets). There’s a huge cost to set up the spaceship for refuelling. Due to financial constraints (he’s not THAT rich), he can fill up his tank at most ktimes. In order to save money and make his spaceship lighter, Milan is looking for the smallest possible fuel tank that enables him to complete his space travel and reach planet pn. What is the smallest tank capacity that enables him to do so?…38. The geometric mean g of n numbers x; is defined as the nth root of the product of x;: g=Vx1x2X3•…Xn (This is useful, for example, in finding the average rate of return for an investment which is something you'd do in engineering economics). If an investment returns 15% the first year, 50% the second, and 30% the third year, the average rate of return would be (1.15*1.50*1.30)") Compute this.26. Which of the following is the negation of p "q?i.e. "(p→ "q) = ? a. b. pVq C. pAq
- 0o.9. """n a positive integer N, find and return the longest distance between twoconsecutive 1' in the binary representation of N.If there are not two consecutive 1's, return 0 For example:Input: 22Output: 2Explanation:22 in binary is 10110In the binary representation of 22, there are three ones, and two consecutive pairs of 1's.The first consecutive pair of 1's have distance 2.The second consecutive pair of 1's have distance 1.The answer is the largest of these two distances, which is 2""" # 原方法为 binary_gap，但通过实验发现算法有误，不论是什么数，输出值最多为2。# 改进方法为binary_gap_improved。# The original method is binary_gap,# but the experimental results show that the algorithm seems to be wrong,# regardless of the number, the output value is up to 2.# The improved method is binary_gap_improved.def binary_gap(N):.Q3 (Q5, Section 2.3 in the Textbook): Order the following functions according to their order of growth (from the lowest to the highest): (n – 2)!, 5 lg(n + 100)1º, 2²", 0.001n“, 3n³ + 1, ln²n, Vñ, 3".i need the answer quickly
- [Fish Tank] You play with a clown fish that has an initial size so. The fish can eat other fish in a tank organized in m columns and n rows. The fish at column i and row j has a positive size si,j. When your fish eats another fish, it grows by that amount. For example, if your clown fish has a size of 10 and eats a fish of size 5, it becomes of size 15. You cannot eat a fish that is bigger than your size. The game starts by eating any fish in the first (left-most) column that is not bigger than yours. After that, you advance one column at a time by moving right. You have only three allowed moves. You either stay at the same row, move one row higher or one row lower. You will always move to the right. Thus, you will make exactly m moves to advance from left to right. Your goal is to exit the fish tank from the right with the biggest possible size. The figure below shows an example with the best answer highlighted. In this case, the final fish size is 71 (10+8+7+24+22). You are required…le.com/forms/d/e/1FAlpQLSc6PlhZGOLJ4LOHo5cCGEf9HDChfQ-tT1bES-BKgkKu44eEnw/formResponse The following iterative sequence is defined for the set of positive integers: Sn/2 3n +1 ifn is odd if n is even Un = Using the rule above and starting with 13, we generate the following sequence: 13 u13 = 40 u40 =20 u20 = 10→ u10 =5 u5 = 16 u16 = 8 ug = 4 → Us =2 u2 =1. It can be seen that this sequence (starting at 13 and finishing at 1) contains 10 terms. The below function takes as input an integer n and returns the number of terms generated by the sequence starting at n. function i-Seq (n) u=n; i=%3; while u =1 if statement 1 u=u/2; else statement 2 end i=i+1; end statement 1 and statement 2 should be replaced by: None of the choices statement 1 is "mod(u,2)=D%3D0" and statement 2 is "u = 3*u+1;" statement 1 is "u%2" and statement 2 is "u = 3*u+1;" O statement 1 is "mod(n,2)=30" and statement 2 is "u = 3*n+1;"# Exercise 1. Implement the algorithm covered in lectures that determines if an integer n is prime. Your function should return True, if n is prime, and False otherwise. Your algorithm has to be effective for n ~ 1,000,000,000,000.def isPrime(n):