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Test results - Codility L10 ChocolatesByNumbers.html
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<!DOCTYPE html>
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<b>ID:</b> <span id="ticket-id">demoWXHZ9T-BKN</span>
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<div id="timelimit-min"><b>Time limit:</b> 120 min.</div>
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Status: closed
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<div id="ticket-create-date"><b>Created on:</b> 2014-12-20 21:09 UTC</div>
<div id="ticket-start-date"><b>Started on:</b> 2014-12-20 21:09 UTC</div>
<div id="ticket-end-date"><b>Finished on:</b> 2014-12-20 21:12 UTC</div>
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<h4>Test score</h4>
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<b>100%</b>
<small>
100
out of 100 points
</small>
</div>
<table class="task-scores">
<tbody><tr>
<th class="task-col">Tasks in test</th>
<th class="partial-col">Correctness</th>
<th class="partial-col">Performance</th>
<th class="score-col">Task score</th>
</tr>
<tr>
<td class="task-col difficulty difficulty-1">
<strong>1</strong>
<img src="./Test results - Codility L10 ChocolatesByNumbers_files/icon-type-algo-24.png" title="algo task">
<a href="https://codility.com/demo/results/demoWXHZ9T-BKN/#task-0" title="ChocolatesByNumbers">
ChocolatesByNumbers
</a>
</td>
<td class="partial-col">
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<div class="filled" style="width: 100.00%"></div>
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<span class="number">100%</span>
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<td class="partial-col">
<div title="good" class="good ">
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<div class="filled" style="width: 100.00%"></div>
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<span class="number">100%</span>
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100%
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The solution is being evaluated.
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<span><span>easy</span></span>
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score:
100 of 100
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<span style="display:none" class="result">100</span>
<span style="display:none" class="max-result">100</span>
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<div class="task-opener">
1.
<a href="https://codility.com/demo/results/demoWXHZ9T-BKN/#" id="task-0-name" class="task-opener">ChocolatesByNumbers</a>
</div>
<span class="task-synopsis">
There are N chocolates in a circle. Count the number of chocolates you will eat.
</span>
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<td class="description-column">
<div class="hdr hdr-dark">Task description</div>
<div id="task-0-text">
<div id="brinza-task-description">
<p>Two positive integers N and M are given. Integer N represents the number of chocolates arranged in a circle, numbered from 0 to N − 1.</p>
<p>You start to eat the chocolates. After eating a chocolate you leave only a wrapper.</p>
<p>You begin with eating chocolate number 0. Then you omit the next M − 1 chocolates or wrappers on the circle, and eat the following one.</p>
<p>More precisely, if you ate chocolate number X, then you will next eat the chocolate with number (X + M) modulo N (remainder of division).</p>
<p>You stop eating when you encounter an empty wrapper.</p>
<p>For example, given integers N = 10 and M = 4. You will eat the following chocolates: 0, 4, 8, 2, 6.</p>
<p>The goal is to count the number of chocolates that you will eat, following the above rules.</p>
<p>Write a function:</p>
<blockquote><p class="lang-c" style="font-family: monospace; font-size: 9pt; display: none"><tt>
int solution(int N, int M);
</tt></p></blockquote>
<blockquote><p class="lang-cpp" style="font-family: monospace; font-size: 9pt; display: none"><tt>
int solution(int N, int M);
</tt></p></blockquote>
<blockquote><p class="lang-pas" style="font-family: monospace; font-size: 9pt; display: none"><tt>
function solution(N: longint; M: longint): longint;
</tt></p></blockquote>
<blockquote><p class="lang-java" style="font-family: monospace; font-size: 9pt; display: none"><tt>
class Solution { public int solution(int N, int M); }
</tt></p></blockquote>
<blockquote><p class="lang-py" style="font-family: monospace; font-size: 9pt; display: none"><tt>
def solution(N, M)
</tt></p></blockquote>
<blockquote><p class="lang-php" style="font-family: monospace; font-size: 9pt; display: none"><tt>
function solution($N, $M);
</tt></p></blockquote>
<blockquote><p class="lang-cs" style="font-family: monospace; font-size: 9pt; display: block"><tt>
class Solution { public int solution(int N, int M); }
</tt></p></blockquote>
<blockquote><p class="lang-js" style="font-family: monospace; font-size: 9pt; display: none"><tt>
function solution(N, M);
</tt></p></blockquote>
<blockquote><p class="lang-pl" style="font-family: monospace; font-size: 9pt; display: none"><tt>
sub solution { my ($N, $M)=@_; ... }
</tt></p></blockquote>
<blockquote><p class="lang-rb" style="font-family: monospace; font-size: 9pt; display: none"><tt>
def solution(n, m)
</tt></p></blockquote>
<blockquote><p class="lang-vb" style="font-family: monospace; font-size: 9pt; display: none"><tt>
Private Function solution(N As Integer, M As Integer) As Integer
</tt></p></blockquote>
<blockquote><p class="lang-lua" style="font-family: monospace; font-size: 9pt; display: none"><tt>
function solution(N, M)
</tt></p></blockquote>
<blockquote><p class="lang-m" style="font-family: monospace; font-size: 9pt; display: none"><tt>
int solution(int N, int M);
</tt></p></blockquote>
<blockquote><p class="lang-scala" style="font-family: monospace; font-size: 9pt; display: none"><tt>
object Solution { def solution(N: Int, M: Int): Int }
</tt></p></blockquote>
<blockquote><p class="lang-go" style="font-family: monospace; font-size: 9pt; display: none"><tt>
func Solution(N int, M int) int
</tt></p></blockquote>
<p>that, given two positive integers N and M, returns the number of chocolates that you will eat.</p>
<p>For example, given integers N = 10 and M = 4. the function should return 5, as explained above.</p>
<p>Assume that:</p>
<blockquote><ul style="margin: 10px;padding: 0px;"><li>N and M are integers within the range [<span class="number">1</span>..<span class="number">1,000,000,000</span>].</li>
</ul>
</blockquote><p>Complexity:</p>
<blockquote><ul style="margin: 10px;padding: 0px;"><li>expected worst-case time complexity is O(log(N+M));</li>
<li>expected worst-case space complexity is O(1).</li>
</ul>
</blockquote></div>
<div style="margin-top:5px">
<small>Copyright 2009–2014 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.</small>
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<div class="hdr hdr-dark" style="position:relative">
Solution
<div style="position:absolute;right:10px;top:4px;">
</div>
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<div class="hdr">
<b>Programming language used:</b> <span class="language_used" style="font-weight: normal">C#</span>
</div>
<div class="hdr">
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<b>Total time used: 3 minutes</b>
</div>
<div class="hdr">
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<b>Effective time used: 3 minutes</b>
</div>
<div class="hdr">
<span class="left">Notes: </span>
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<span class="value user_notes_right" style="font-weight:normal">
<i>not defined yet</i>
</span>
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<div style="float:right" id="solution-slider-0-time-end">21:12:01</div>
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Code: 21:12:00 UTC,
cs,
final,
score: <strong>100.00</strong>
</div>
<div class="solution-sourcecode-print white">
<div class="line-numbers">
<a>1</a><a>2</a><a>3</a><a>4</a><a>5</a><a>6</a><a>7</a><a>8</a><a>9</a><a>10</a><a>11</a><a>12</a><a>13</a><a>14</a><a>15</a><a>16</a><a>17</a><a>18</a><a>19</a><a>20</a><a>21</a><a>22</a><a>23</a><a>24</a>
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<div class="code-highlight">
<pre id="code-0-12"><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-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-function"><span class="hljs-keyword">public</span> <span class="hljs-keyword">int</span> <span class="hljs-title">solution</span><span class="hljs-params">(<span class="hljs-keyword">int</span> N, <span class="hljs-keyword">int</span> M)</span> </span></span><span class="hljs-function">
</span><span class="line "><span class="hljs-function"> </span>{</span>
<span class="line "> <span class="hljs-comment">// int lcm = N * M / gcd(N,M);</span></span>
<span class="line "> <span class="hljs-comment">// because answer is lcm / M</span></span>
<span class="line "> <span class="hljs-comment">// we could skip step and make answer N / gcd(N, M);</span></span>
<span class="line "> <span class="hljs-keyword">return</span> N / gcd(N, M);</span>
<span class="line "> }</span>
<span class="line "> </span>
<span class="line "> <span class="hljs-function"><span class="hljs-keyword">public</span> <span class="hljs-keyword">int</span> <span class="hljs-title">gcd</span><span class="hljs-params">(<span class="hljs-keyword">int</span> a, <span class="hljs-keyword">int</span> b)</span></span></span><span class="hljs-function">
</span><span class="line "><span class="hljs-function"> </span>{</span>
<span class="line "> <span class="hljs-keyword">if</span> (a % b == <span class="hljs-number">0</span>)</span>
<span class="line "> <span class="hljs-keyword">return</span> b;</span>
<span class="line "> <span class="hljs-function"><span class="hljs-keyword">else</span></span></span><span class="hljs-function">
</span><span class="line "><span class="hljs-function"> return <span class="hljs-title">gcd</span><span class="hljs-params">(b, a%b)</span></span>;</span>
<span class="line "> }</span>
<span class="line ">}</span>
<span class="line "></span></code></pre>
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<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(log(N + M))</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">0.056 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_small
<br>
<small>very small N and M</small>
</td>
<td align="right">0.064 s</td>
<td colspan=" 2 ">
<b>OK</b>
</td>
</tr>
<tr>
<td>
simple
<br>
<small>simple test, N = 24, M = 18</small>
</td>
<td align="right">0.060 s</td>
<td colspan=" 2 ">
<b>OK</b>
</td>
</tr>
<tr>
<td>
small1
<br>
<small>small tests</small>
</td>
<td align="right">0.068 s</td>
<td colspan=" 2 ">
<b>OK</b>
</td>
</tr>
<tr>
<td>
small2
<br>
<small>small tests</small>
</td>
<td align="right">0.060 s</td>
<td colspan=" 2 ">
<b>OK</b>
</td>
</tr>
</tbody>
<thead>
<tr>
<th class="group perf" colspan="4">Performance tests</th>
</tr>
</thead>
<tbody>
<tr>
<td>
medium
<br>
<small>medium tests</small>
</td>
<td align="right">0.060 s</td>
<td colspan=" 1 ">
<b>OK</b>
</td>
</tr>
<tr>
<td>
large
<br>
<small>large tests</small>
</td>
<td align="right">0.068 s</td>
<td colspan=" 1 ">
<b>OK</b>
</td>
</tr>
<tr>
<td>
large2
<br>
<small> N = (3**9)*(2**14), M=(2**14)*(2**14)</small>
</td>
<td align="right">0.068 s</td>
<td colspan=" 1 ">
<b>OK</b>
</td>
</tr>