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Question IV (20 points): Consider the following algorithm, where the input is two arrays of sizes n and m, respectively. boolean arraysEqual(int[] array1, int[] array2){ int n = array1.length; int m = array2.length; if(n == m) return false; for(int j = 0; j < n; j++){ for(int k = 0; k < m; k++){ if((array1[j] < j) && array2[k] < k)) return false; } return true; } 1. (7 points) What is the best case time complexity of this algorithm? Justify your answer, indicating which statement did you use to find the complexity. 2. (8 points) What is the worst case time complexity of this algorithm? Justify your answer, indicating which statement did you use to find the complexity. 3. (5 points) What is the space complexity of this algorithm? Justify your answer. 

          Question IV (20 points): Consider the following algorithm, where the input is two arrays of sizes n and m, respectively.
boolean arraysEqual(int[] array1, int[] array2){
int n = array1.length;
int m = array2.length;
if(n == m)
return false;
for(int j = 0; j < n; j++){
for(int k = 0; k < m; k++){
if((array1[j] < j) && array2[k] < k))
return false;
}
return true;
}
1. (7 points) What is the best case time complexity of this algorithm? Justify your answer, indicating which statement did you use to find the complexity.
2. (8 points) What is the worst case time complexity of this algorithm? Justify your answer, indicating which statement did you use to find the complexity.
3. (5 points) What is the space complexity of this algorithm? Justify your answer.
Show more…
Question IV (20 points): Consider the following algorithm, where the input is two arrays of sizes n and m, respectively. boolean arraysEqual(int[] array1, int[] array2) int n = array1.length; int m = array2.length; if(n == m) return false; for(int j = 0; j < n; j++) for(int k = 0; k < m; k++) if((array1[j] < j) array2[k] < k)) return false; return true; 1. (7 points) What is the best case time complexity of this algorithm? Justify your answer, indicating which statement did you use to find the complexity. 2. (8 points) What is the worst case time complexity of this algorithm? Justify your answer, indicating which statement did you use to find the complexity. 3. (5 points) What is the space complexity of this algorithm? Justify your answer.

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Computer Science and Information Technology
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Trishna Knowledge Systems 2018 Edition
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Question IV (20 points): Consider the following algorithm, where the input is two arrays of sizes n and m, respectively. boolean arraysEqual(int[] array1, int[] array2){ int n = array1.length; int m = array2.length; if (n == m) return false; for(int j = 0; j < n; j++){ for(int k = 0; k < m; k++){ if((array1[j] < j) && (array2[k] < k)) return false; } } return true; } 1. (7 points) What is the best-case time complexity of this algorithm? Justify your answer, indicating which statement did you use to find the complexity. 2. (8 points) What is the worst-case time complexity of this algorithm? Justify your answer, indicating which statement did you use to find the complexity. 3. (5 points) What is the space complexity of this algorithm? Justify your answer.
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Transcript

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00:01 In this particular question for the part a, the worst case for the algorithm is when a single pair in the array does not match, does not have a symmetric relation with any other pair in the array.
00:33 In this case, the algorithm will return minus one or false.
00:52 So this is the solution for part a of our question.
00:59 Now when it comes to the part b of the question, the time complexity of the algorithm is best case in o .n...
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