find-the-maximum-achievable-number

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Algorithms

Given two integers, <code>num</code> and <code>t</code>. A number <code>x</code> is achievable if it can become equal to <code>num</code> after applying the following operation at most <code>t</code> times:

<ul>
	<li>Increase or decrease <code>x</code> by <code>1</code>, and simultaneously increase or decrease <code>num</code> by <code>1</code>.</li>
</ul>

Return the maximum possible value of <code>x</code>.

&nbsp;
Example 1:

<div class="example-block">
Input: num = 4, t = 1

Output: 6

Explanation:

Apply the following operation once to make the maximum achievable number equal to <code>num</code>:

<ul>
	<li>Decrease the maximum achievable number by 1, and increase <code>num</code> by 1.</li>
</ul>
</div>

Example 2:

<div class="example-block">
Input: num = 3, t = 2

Output: 7

Explanation:

Apply the following operation twice to make the maximum achievable number equal to <code>num</code>:

<ul>
	<li>Decrease the maximum achievable number by 1, and increase <code>num</code> by 1.</li>
</ul>
</div>

&nbsp;
Constraints:

<ul>
	<li><code>1 &lt;= num, t&nbsp;&lt;= 50</code></li>
</ul>