Consider the following recursive function fun (s , y). what is the value of fun ( 4, 3) int fun ( int x , int y) if ( x =0) return y; return fun ( x,1, x+y); |
এই প্রশ্নের বিশেষজ্ঞ বিশ্লেষণ
Let us consider the given recursive function <code>fun(x, y)</code>. The function is defined as follows:
<pre><code> int fun(int x, int y) { if (x == 0) return y; return fun(x - 1, x + y); } </code></pre>We need to compute the value of <code>fun(4, 3)</code>. Let's break it down step by step:
<h2>Step-by-Step Breakdown</h2>We start by calling <code>fun(4, 3)</code>.
Since <code>x</code> is not 0 (it is 4), we proceed to the recursive call <code>fun(3, 4+3)</code>.
Thus, the next call is <code>fun(3, 7)</code>.
Again, <code>x</code> is not 0 (it is 3), we proceed to the recursive call <code>fun(2, 3+7)</code>.
Thus, the next call is <code>fun(2, 10)</code>.
Continuing, <code>x</code> is still not 0 (it is 2), we move to the recursive call <code>fun(1, 2+10)</code>.
Thus, the next call is <code>fun(1, 12)</code>.
Yet again, <code>x</code> is not 0 (it is 1), we proceed to the recursive call <code>fun(0, 1+12)</code>.
Thus, the final call is <code>fun(0, 13)</code>.
Now, <code>x</code> equals 0, which means we hit our base case. We return <code>y</code>, which is 13.
Therefore, the value of <code>fun(4, 3)</code> is 13.
<h2>The Correct Answer</h2>The correct answer is 13. Let's verify why the other options are not correct:
9: This would be incorrect, as it does not follow the pattern of the recursive additions.
10: This would be incorrect, as it also does not match the computed value.
12: This does not meet the final sum produced by the recursion steps.
By thoroughly examining each step of the recursive function, we confirm that the value of <code>fun(4, 3)</code> is indeed 13. This manner of breaking down the steps not only helps in understanding the process but also reinforces the concepts of recursion and base cases in programming.
রেফারেন্স মাত্র
অ্যাপে আরও ১ লক্ষ+ প্রশ্ন অনুশীলন করুন
বিনামূল্যে • ৪.৯★ রেটিং • ৫০K+ ডাউনলোড