An algorithm randomly combined three-digit number, with no repeated digits in any combination(for example 123,456, 789). What is the minimum number of executions that needs to beperformed by the algorithm to guarantee that at least six of the three-digit numbers are identical?

Take the string String containing no repeated digits Find the minimum number of executions Then…

Answered: An algorithm randomly combined…

Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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Algorithm Binary Search Input: L = a1, a2, ... , an list of distinct integers; x integer Output: p integer i = 1; j = n; found = F; p = 0; while i ≤ j and found = F m = ⌊i+j2⌋; if am = x then found = T and p = m else if am < x then i = m + 1 else j = m - 1; return p; When performing Algorithm Binary Search with input L = 1,3,5,7,9,11,13 and x = 9, how many times is x compared to an element ai of the list L?
Algorithm Prime2 (n: integer):{T,F}; prime = T; d=2; while d < n/2 and prime = T do if n mod d = 0 then prime = F else d = d+1 return prime; How many times is the operation "n mod d" performed, when the input for Algorithm Prime2 is n=343? Group of answer choices 170 171 None of these. 7 6
The algorithm of Euclid computes the greatest common divisor (GCD) of two integer numbers a and b. The following pseudo-code is the original version of this algorithm. Algorithm 1 Euclid1(a,b)Require: a, b > 0Ensure: a = GCD(a, b) while a ̸= b do if a > b then a ← a − b else b ← b − a end if end whilereturn a We want to prove the correctness of this algorithm using the loop invariant technique. Answer the following questions: a. Show the property is maintained during the execuation of the While loop (i.e., maintenance property). b. Prove the termination property and conclude. c. What would happen if a > 0 and b = 0 and thus the pre-condition is not satisfied?
use the algorithm pseudo-code provided below:1. Input x2. Put x in total3. Put 1 in count4. Add x to total5. Add 1 to count6. If count < 3 go to step 47. Add count to total8. Output total9. End ========================== In the algorithm above, how many times would step 5 be used? a. That is not known because it depends on the value input for xb. One timec. Two timesd. Three times
The algorithm of Euclid computes the greatest common divisor (GCD) of two integer numbers a and b. The following pseudo-code is the original version of this algorithm. Algorithm 1 Euclid1(a,b)Require: a, b > 0Ensure: a = GCD(a, b) while a ̸= b do if a > b then a ← a − b else b ← b − a end if end whilereturn a We want to prove the correctness of this algorithm using the loop invariant technique. a. In a first attempt to prove the correctness of this algorithm, we propose the following loop invariant property: “GCD(a, b) is a factor of a and b”. Explain why this property willnot help you as is. b. Use your previous observation to propose another loop invariant property that willhelp you to prove the correctness of the version of Euclid’s algorithm presented above. c. Show that your loop invariant property is true before executing the While loop forthe first time (i.e., initialization property)
Algorithm
Q10. Consider the following algorithm: g1 = 7 g2 = 6 For k starting at 3 and ending with 8: gk = (k-1)·gk-1 + gk-2 What is the last term, g8, of the recursive sequence generated as a result of executing this algorithm?
Merge sort is an efficient sorting algorithm with a time complexity of O(n log n). This means that as the number of elements (chocolates or students) increases significantly, the efficiency of merge sort remains relatively stable compared to other sorting algorithms. Merge sort achieves this efficiency by recursively dividing the input array into smaller sub-arrays, sorting them individually, and then merging them back together. The efficiency of merge sort is primarily determined by its time complexity, which is , where n is the number of elements in the array. This time complexity indicates that the time taken by merge sort grows logarithmically with the size of the input array. Therefore, even as the number of chocolates or students increases significantly, merge sort maintains its relatively efficient performance. Regarding the distribution of a given set of x to y using iterative and recursive functions, the complexity analysis depends on the specific implementation of each…
Algorithm Prime2 (n: integer):{T,F}; prime = F; d=2; while d < n/2 and prime = F do if n mod d = 0 then prime = T else d = d+1 return prime; How many times is the operation "n mod d" performed, when the input for Algorithm Prime 2 is n=123? Group of answer choices 1 4 3 2 None of these.
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An algorithm randomly combined three-digit number, with no repeated digits in any combination (for example 123,456, 789). What is the minimum number of executions that needs to be performed by the algorithm to guarantee that at least six of the three-digit numbers are identical?