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Consider the following method: public int recursive1( int n, int k ) { if ( n == 1 ) { return k; } else {

Consider the following method: public int recursive1( int n, int k ) { if ( n == 1 ) { return k; } else { return ( recursive1( n/2, k++ ) ); } } Part A [5 pts]: Write the recurrence equation for T(n), that is, the running time of this method as a function of input value n. Assume that all arithmetic operations and comparisons take constant time. No justification is required. Part B [7 pts]: Solve the above recurrence equation. Show your work. (A correct solution to an incorrect equation, properly justified, will be worth up to 5 points).

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