Class Solution
java.lang.Object
g2001_2100.s2028_find_missing_observations.Solution
2028 - Find Missing Observations.<p>Medium</p>
<p>You have observations of <code>n + m</code> <strong>6-sided</strong> dice rolls with each face numbered from <code>1</code> to <code>6</code>. <code>n</code> of the observations went missing, and you only have the observations of <code>m</code> rolls. Fortunately, you have also calculated the <strong>average value</strong> of the <code>n + m</code> rolls.</p>
<p>You are given an integer array <code>rolls</code> of length <code>m</code> where <code>rolls[i]</code> is the value of the <code>i<sup>th</sup></code> observation. You are also given the two integers <code>mean</code> and <code>n</code>.</p>
<p>Return <em>an array of length</em> <code>n</code> <em>containing the missing observations such that the <strong>average value</strong> of the</em> <code>n + m</code> <em>rolls is <strong>exactly</strong></em> <code>mean</code>. If there are multiple valid answers, return <em>any of them</em>. If no such array exists, return <em>an empty array</em>.</p>
<p>The <strong>average value</strong> of a set of <code>k</code> numbers is the sum of the numbers divided by <code>k</code>.</p>
<p>Note that <code>mean</code> is an integer, so the sum of the <code>n + m</code> rolls should be divisible by <code>n + m</code>.</p>
<p><strong>Example 1:</strong></p>
<p><strong>Input:</strong> rolls = [3,2,4,3], mean = 4, n = 2</p>
<p><strong>Output:</strong> [6,6]</p>
<p><strong>Explanation:</strong> The mean of all n + m rolls is (3 + 2 + 4 + 3 + 6 + 6) / 6 = 4.</p>
<p><strong>Example 2:</strong></p>
<p><strong>Input:</strong> rolls = [1,5,6], mean = 3, n = 4</p>
<p><strong>Output:</strong> [2,3,2,2]</p>
<p><strong>Explanation:</strong> The mean of all n + m rolls is (1 + 5 + 6 + 2 + 3 + 2 + 2) / 7 = 3.</p>
<p><strong>Example 3:</strong></p>
<p><strong>Input:</strong> rolls = [1,2,3,4], mean = 6, n = 4</p>
<p><strong>Output:</strong> []</p>
<p><strong>Explanation:</strong> It is impossible for the mean to be 6 no matter what the 4 missing rolls are.</p>
<p><strong>Constraints:</strong></p>
<ul>
<li><code>m == rolls.length</code></li>
<li><code>1 <= n, m <= 10<sup>5</sup></code></li>
<li><code>1 <= rolls[i], mean <= 6</code></li>
</ul>
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Constructor Summary
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Solution
public Solution()
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Method Details
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missingRolls
public int[] missingRolls(int[] rolls, int mean, int n)
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