Course:Analysis of Algorithms For the following code snippet, provide line-by-line analysis and construct function T(n) that give the runtime of this code snippet as a function of “n”. Also determine the big-Oh of for this code snippet. for (int i = 1; i <= n; i++) { if ( x < i) sum += foo( i )+ foo(i+1); system.out.print(sum); else if ( x > i) sum += foo( i ) – foo(i–1); system.out.print(sum); else for (j = 1; j <= i; j++) system.out.print( i ); system.out.println( ); } foo (a) { for (int i = 0; i < n; i++) sum += a * i; return sum; }

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Recurrence relation

A recurrence relation or recursive relation is an equation that represents a function in terms of the values of its smaller inputs. Every recurrence relation T(n) is a recursive function of integer n and consists of a base case and a recursive case.