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<div class="title">pascal_triangle.cpp File Reference</div> </div>
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<p>Pascal's triangle implementation.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;cstring&gt;</code><br />
<code>#include &lt;iomanip&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
</div><div class="textblock"><div class="dynheader">
Include dependency graph for pascal_triangle.cpp:</div>
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Functions</h2></td></tr>
<tr class="memitem:ad7a31d9cb2818d21b1ba12aead7f4c5c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dc/d1a/pascal__triangle_8cpp.html#ad7a31d9cb2818d21b1ba12aead7f4c5c">show_pascal</a> (int **arr, int n)</td></tr>
<tr class="separator:ad7a31d9cb2818d21b1ba12aead7f4c5c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:afd3f52dd56ddedbf7af5d26a202a199e"><td class="memItemLeft" align="right" valign="top">int **&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dc/d1a/pascal__triangle_8cpp.html#afd3f52dd56ddedbf7af5d26a202a199e">pascal_triangle</a> (int **arr, int n)</td></tr>
<tr class="separator:afd3f52dd56ddedbf7af5d26a202a199e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dc/d1a/pascal__triangle_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Pascal's triangle implementation. </p>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&nbsp;</a></span>main()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int main </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>main function </p>
<div class="fragment"><div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160; {</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160; <span class="keywordtype">int</span> n = 0;</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160; </div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Set Pascal&#39;s Triangle Height&quot;</span> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; n;</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; </div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; <span class="comment">// memory allocation (Assign two-dimensional array to store Pascal triangle)</span></div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; <span class="keywordtype">int</span> **arr = <span class="keyword">new</span> <span class="keywordtype">int</span> *[n];</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; ++i) {</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; arr[i] = <span class="keyword">new</span> <span class="keywordtype">int</span>[2 * n - 1];</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/byte/memset.html">memset</a>(arr[i], 0, <span class="keyword">sizeof</span>(<span class="keywordtype">int</span>) * (2 * n - 1));</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; }</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; </div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; <a class="code" href="../../dc/d1a/pascal__triangle_8cpp.html#afd3f52dd56ddedbf7af5d26a202a199e">pascal_triangle</a>(arr, n);</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; <a class="code" href="../../dc/d1a/pascal__triangle_8cpp.html#ad7a31d9cb2818d21b1ba12aead7f4c5c">show_pascal</a>(arr, n);</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; </div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; <span class="comment">// deallocation</span></div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; ++i) {</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160; <span class="keyword">delete</span>[] arr[i];</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160; }</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160; <span class="keyword">delete</span>[] arr;</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; </div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#afd3f52dd56ddedbf7af5d26a202a199e">&#9670;&nbsp;</a></span>pascal_triangle()</h2>
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<td class="memname">int** pascal_triangle </td>
<td>(</td>
<td class="paramtype">int **&#160;</td>
<td class="paramname"><em>arr</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>n</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
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<p>Print the triangle </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in,out]</td><td class="paramname">arr</td><td>array containing Pascal numbers </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>depth of Pascal triangle to print </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>arr pointer returned </dd></dl>
<div class="fragment"><div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160; {</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; ++i) {</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = n - i - 1; j &lt; n + i; ++j) {</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; <span class="keywordflow">if</span> (j == n - i - 1 || j == n + i - 1)</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160; arr[i][j] = 1; <span class="comment">// The edge of the Pascal triangle goes in 1</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160; <span class="keywordflow">else</span></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160; arr[i][j] = arr[i - 1][j - 1] + arr[i - 1][j + 1];</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; }</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160; }</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; </div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160; <span class="keywordflow">return</span> arr;</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160;}</div>
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<a id="ad7a31d9cb2818d21b1ba12aead7f4c5c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ad7a31d9cb2818d21b1ba12aead7f4c5c">&#9670;&nbsp;</a></span>show_pascal()</h2>
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<td class="memname">void show_pascal </td>
<td>(</td>
<td class="paramtype">int **&#160;</td>
<td class="paramname"><em>arr</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
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<td></td>
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<p>Print the triangle </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
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<tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>depth of Pascal triangle to print </td></tr>
</table>
</dd>
</dl>
<div class="fragment"><div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160; {</div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; ++i) {</div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; n + i; ++j) {</div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160; <span class="keywordflow">if</span> (arr[i][j] == 0)</div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/setw.html">std::setw</a>(4) &lt;&lt; <span class="stringliteral">&quot; &quot;</span>;</div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160; <span class="keywordflow">else</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/setw.html">std::setw</a>(4) &lt;&lt; arr[i][j];</div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160; }</div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160; }</div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;}</div>
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