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Test results - Codility L09 CountNonDivisible rev2.html
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<div id="ticket-create-date"><b>Created on:</b> 2014-12-20 17:40 UTC</div>
<div id="ticket-start-date"><b>Started on:</b> 2014-12-20 17:40 UTC</div>
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<b>100%</b>
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100
out of 100 points
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<table class="task-scores">
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<th class="partial-col">Correctness</th>
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<tr>
<td class="task-col difficulty difficulty-2">
<strong>1</strong>
<img src="./Test results - Codility L09 CountNonDivisible rev2_files/icon-type-algo-24.png" title="algo task">
<a href="https://codility.com/demo/results/demoR98G3Y-FVA/#task-0" title="CountNonDivisible">
CountNonDivisible
</a>
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<span class="number">100%</span>
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<span class="number">100%</span>
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100%
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score:
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<span style="display:none" class="max-result">100</span>
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1.
<a href="https://codility.com/demo/results/demoR98G3Y-FVA/#" id="task-0-name" class="task-opener">CountNonDivisible</a>
</div>
<span class="task-synopsis">
Calculate the number of elements of an array that are not divisors of each element.
</span>
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<div class="hdr hdr-dark">Task description</div>
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<div id="brinza-task-description">
<p>You are given a non-empty zero-indexed array A consisting of N integers.</p>
<p>For each number A[i] such that 0 ≤ i < N, we want to count the number of elements of the array that are not the divisors of A[i]. We say that these elements are non-divisors.</p>
<p>For example, consider integer N = 5 and array A such that:</p>
<p></p><pre><tt> A[0] = 3
A[1] = 1
A[2] = 2
A[3] = 3
A[4] = 6</tt></pre>
<p>For the following elements:</p>
<blockquote><ul style="margin: 10px;padding: 0px;"><li>A[0] = 3, the non-divisors are: 2, 6,</li>
<li>A[1] = 1, the non-divisors are: 3, 2, 3, 6,</li>
<li>A[2] = 2, the non-divisors are: 3, 3, 6,</li>
<li>A[3] = 3, the non-divisors are: 2, 6,</li>
<li>A[6] = 6, there aren't any non-divisors.</li>
</ul>
</blockquote><blockquote><p class="lang-c" style="font-family: monospace; font-size: 9pt; display: none"><tt>
struct Results {<br>
int * C;<br>
int L;<br>
};
</tt></p></blockquote>
<blockquote><p class="lang-pas" style="font-family: monospace; font-size: 9pt; display: none"><tt>
Results = record<br>
C : array of longint;<br>
L : longint;<br>
end;
</tt></p></blockquote>
<p>Write a function:</p>
<blockquote><p class="lang-c" style="font-family: monospace; font-size: 9pt; display: none"><tt>
struct Results solution(int A[], int N);
</tt></p></blockquote>
<blockquote><p class="lang-cpp" style="font-family: monospace; font-size: 9pt; display: none"><tt>
vector<int> solution(vector<int> &A);
</tt></p></blockquote>
<blockquote><p class="lang-pas" style="font-family: monospace; font-size: 9pt; display: none"><tt>
function solution(A: array of longint; N: longint): Results;
</tt></p></blockquote>
<blockquote><p class="lang-java" style="font-family: monospace; font-size: 9pt; display: none"><tt>
class Solution { public int[] solution(int[] A); }
</tt></p></blockquote>
<blockquote><p class="lang-py" style="font-family: monospace; font-size: 9pt; display: none"><tt>
def solution(A)
</tt></p></blockquote>
<blockquote><p class="lang-php" style="font-family: monospace; font-size: 9pt; display: none"><tt>
function solution($A);
</tt></p></blockquote>
<blockquote><p class="lang-cs" style="font-family: monospace; font-size: 9pt; display: block"><tt>
class Solution { public int[] solution(int[] A); }
</tt></p></blockquote>
<blockquote><p class="lang-js" style="font-family: monospace; font-size: 9pt; display: none"><tt>
function solution(A);
</tt></p></blockquote>
<blockquote><p class="lang-pl" style="font-family: monospace; font-size: 9pt; display: none"><tt>
sub solution { my (@A)=@_; ... }
</tt></p></blockquote>
<blockquote><p class="lang-rb" style="font-family: monospace; font-size: 9pt; display: none"><tt>
def solution(a)
</tt></p></blockquote>
<blockquote><p class="lang-vb" style="font-family: monospace; font-size: 9pt; display: none"><tt>
Private Function solution(A As Integer()) As Integer()
</tt></p></blockquote>
<blockquote><p class="lang-lua" style="font-family: monospace; font-size: 9pt; display: none"><tt>
function solution(A)
</tt></p></blockquote>
<blockquote><p class="lang-m" style="font-family: monospace; font-size: 9pt; display: none"><tt>
NSMutableArray * solution(NSMutableArray *A);
</tt></p></blockquote>
<blockquote><p class="lang-scala" style="font-family: monospace; font-size: 9pt; display: none"><tt>
object Solution { def solution(A: Array[Int]): Array[Int] }
</tt></p></blockquote>
<blockquote><p class="lang-go" style="font-family: monospace; font-size: 9pt; display: none"><tt>
func Solution(A []int) []int
</tt></p></blockquote>
<p>that, given a non-empty zero-indexed array A consisting of N integers, returns a sequence of integers representing the amount of non-divisors.</p>
<p>The sequence should be returned as:</p>
<blockquote><ul style="margin: 10px;padding: 0px;"><li>a structure Results (in C), or</li>
<li>a vector of integers (in C++), or</li>
<li>a record Results (in Pascal), or</li>
<li>an array of integers (in any other programming language).</li>
</ul>
</blockquote><p>For example, given:</p>
<p></p><pre><tt> A[0] = 3
A[1] = 1
A[2] = 2
A[3] = 3
A[4] = 6</tt></pre>
<p>the function should return [2, 4, 3, 2, 0], as explained above.</p>
<p>Assume that:</p>
<blockquote><ul style="margin: 10px;padding: 0px;"><li>N is an integer within the range [<span class="number">1</span>..<span class="number">50,000</span>];</li>
<li>each element of array A is an integer within the range [<span class="number">1</span>..<span class="number">2 * N</span>].</li>
</ul>
</blockquote><p>Complexity:</p>
<blockquote><ul style="margin: 10px;padding: 0px;"><li>expected worst-case time complexity is O(N*log(N));</li>
<li>expected worst-case space complexity is O(N), beyond input storage (not counting the storage required for input arguments).</li>
</ul>
</blockquote><p>Elements of input arrays can be modified.</p>
</div>
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<small>Copyright 2009–2014 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.</small>
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Solution
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<b>Programming language used:</b> <span class="language_used" style="font-weight: normal">C#</span>
</div>
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<b>Total time used: 7 minutes</b>
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<b>Effective time used: 7 minutes</b>
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<span class="left">Notes: </span>
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<i>not defined yet</i>
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<div style="float:right" id="solution-slider-0-time-end">17:47:12</div>
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Code: 17:47:11 UTC,
cs,
final,
score: <strong>100.00</strong>
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<div class="code-highlight">
<pre id="code-0-24"><code data-prg-lang="cs" class="language-cs hljs"><span class="line "><span class="hljs-keyword">using</span> System;</span>
<span class="line "><span class="hljs-keyword">using</span> System.Linq;</span>
<span class="line "><span class="hljs-comment">// you can also use other imports, for example:</span></span>
<span class="line "><span class="hljs-comment">// using System.Collections.Generic;</span></span>
<span class="line "></span>
<span class="line "><span class="hljs-comment">// you can use Console.WriteLine for debugging purposes, e.g.</span></span>
<span class="line "><span class="hljs-comment">// Console.WriteLine("this is a debug message");</span></span>
<span class="line "></span>
<span class="line "><span class="hljs-keyword">class</span> <span class="hljs-title">Solution</span> {</span>
<span class="line "> <span class="hljs-keyword">public</span> <span class="hljs-keyword">int</span>[] solution(<span class="hljs-keyword">int</span>[] A) {</span>
<span class="line "> <span class="hljs-keyword">int</span>[] count = <span class="hljs-keyword">new</span> <span class="hljs-keyword">int</span>[A.Max()+<span class="hljs-number">1</span>];</span>
<span class="line "> <span class="hljs-keyword">int</span>[] ans = <span class="hljs-keyword">new</span> <span class="hljs-keyword">int</span>[A.Length];</span>
<span class="line "> <span class="hljs-keyword">int</span> divisor;</span>
<span class="line "> </span>
<span class="line "> <span class="hljs-keyword">for</span> (<span class="hljs-keyword">int</span> i = <span class="hljs-number">0</span>; i < A.Length; i++)</span>
<span class="line "> {</span>
<span class="line "> count[A[i]]++;</span>
<span class="line "> }</span>
<span class="line "> </span>
<span class="line "> <span class="hljs-keyword">for</span> (<span class="hljs-keyword">int</span> i = <span class="hljs-number">0</span>; i < A.Length; i++)</span>
<span class="line "> {</span>
<span class="line "> divisor = <span class="hljs-number">0</span>;</span>
<span class="line "> <span class="hljs-keyword">for</span> (<span class="hljs-keyword">int</span> j = <span class="hljs-number">1</span>; j * j <= A[i]; j++)</span>
<span class="line "> {</span>
<span class="line "> <span class="hljs-keyword">if</span> (A[i] % j == <span class="hljs-number">0</span>)</span>
<span class="line "> {</span>
<span class="line "> divisor += count[j];</span>
<span class="line "> <span class="hljs-keyword">if</span> (A[i] / j != j) <span class="hljs-comment">// has to have another divisor in this case and since we already checked A[i]%j==0 we do not need to worry</span></span>
<span class="line "> {</span>
<span class="line "> divisor += count[A[i]/j];</span>
<span class="line "> }</span>
<span class="line "> }</span>
<span class="line "> }</span>
<span class="line "> ans[i] = A.Length - divisor;</span>
<span class="line "> }</span>
<span class="line "> </span>
<span class="line "> <span class="hljs-keyword">return</span> ans;</span>
<span class="line "> }</span>
<span class="line ">}</span>
<span class="line "></span></code></pre>
</div>
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</div>
<div class="analysis">
<div class="hdr hdr-dark">
<div class="help help-analysis" data-hasqtip="5"></div>
Analysis
<div class="clr"></div>
</div>
<div class="hdr detected-time-print">
Detected time complexity:<br><b style="font-size: 200%">O(N * log(N))</b>
</div>
<table class="tests-table">
<thead>
<tr>
<th>test</th>
<th>time</th>
<th class="plot-header"></th>
<th colspan="2">result</th>
</tr>
</thead>
<thead>
<tr>
<th class="group example" colspan="4">Example tests</th>
</tr>
</thead>
<tbody>
<tr>
<td>
example
<br>
<small>example test</small>
</td>
<td align="right">0.068 s</td>
<td colspan=" 2 ">
<b>OK</b>
</td>
</tr>
</tbody>
<thead>
<tr>
<th class="group func" colspan="4">Correctness tests</th>
</tr>
</thead>
<tbody>
<tr>
<td>
extreme_simple
<br>
<small>extreme simple</small>
</td>
<td align="right">0.068 s</td>
<td colspan=" 2 ">
<b>OK</b>
</td>
</tr>
<tr>
<td>
double
<br>
<small>two elements</small>
</td>
<td align="right">0.068 s</td>
<td colspan=" 2 ">
<b>OK</b>
</td>
</tr>
<tr>
<td>
simple
<br>
<small>simple tests</small>
</td>
<td align="right">0.064 s</td>
<td colspan=" 2 ">
<b>OK</b>
</td>
</tr>
<tr>
<td>
primes
<br>
<small>prime numbers</small>
</td>
<td align="right">0.072 s</td>
<td colspan=" 2 ">
<b>OK</b>
</td>
</tr>
<tr>
<td>
small_random
<br>
<small>small, random numbers, length = 100</small>
</td>
<td align="right">0.072 s</td>
<td colspan=" 2 ">
<b>OK</b>
</td>
</tr>
</tbody>