Frequency counts for all statements, Data Structure & Algorithms

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Evaluate the frequency counts for all statements in the following given program segment.

for (i=1; i ≤ n; i ++)

for (j = 1; j ≤ i; j++)

for (k =1; k ≤ j; k++)

y ++;

Ans.

S1: for (i=1; i<= n; i++) S2: for (j=1; j,= i; j++)

S3 : for (k=1; k<= j; k++) S4 : y++;

Frequency counts of

S1=n

S2 = 1+ (1+2)+ (1+2+3) +....... (1+2+....n)

S3 = 1+ [ 1+ (1+2)] + .....[ 1+ (1+2) +....

(1+2+3+...n)]

S4= same as S3.

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