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Consider the following functions which both take as arguments three n-element arrays A, B, and C: COMPARE-1(A, B,C) For i =1 to n For j=1 to n If A[i] + C[i] > B[j] Return FALSE Return TRUE COMPARE-2(A, B,C) aur := A[1] + C[1] For i = 2 to n If A[i] + C[i] > aux Then aur := A[i] + C[i] For j=1 to n If aux > B[j] Return FALSE Return TRUE

Consider the following functions which both take as arguments three n-element arrays A, B, and C: COMPARE-1(A, B,C) For i =1 to n For j=1 to n If A[i] + C[i] > B[j] Return FALSE Return TRUE COMPARE-2(A, B,C) aur := A[1] + C[1] For i = 2 to n If A[i] + C[i] > aux Then aur := A[i] + C[i] For j=1 to n If aux > B[j] Return FALSE Return TRUE

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Consider the following functions which both take as arguments three n-element arrays A, B, and C: СОMPARE-1(A, В, С) For i =1 to n For j= 1 to n If A(i] + C[i] > B[j] Return FALSE Return TRUE СOMPARE-2(A, В, С) aux := A[1] + C[1] For i = 2 to n If A[i] + C[i] > aux Then aux := A[i] + C[i] For j = 1 to n If aux > B[j] Return FALSE Return TRUE (a) When do these two functions return TRUE? (b) What is the worst-case running time for each function?
Transcribed Image Text:Consider the following functions which both take as arguments three n-element arrays A, B, and C: СОMPARE-1(A, В, С) For i =1 to n For j= 1 to n If A(i] + C[i] > B[j] Return FALSE Return TRUE СOMPARE-2(A, В, С) aux := A[1] + C[1] For i = 2 to n If A[i] + C[i] > aux Then aux := A[i] + C[i] For j = 1 to n If aux > B[j] Return FALSE Return TRUE (a) When do these two functions return TRUE? (b) What is the worst-case running time for each function?
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