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realstealthninja
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<head>
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<title>TheAlgorithms/C++: dynamic_programming/coin_change_topdown.cpp File Reference</title>
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@@ -153,7 +153,7 @@ Namespaces</h2></td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:ac816a4ae8a29c156b90377041000929a" id="r_ac816a4ae8a29c156b90377041000929a"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
<tr class="memitem:ac816a4ae8a29c156b90377041000929a" id="r_ac816a4ae8a29c156b90377041000929a"><td class="memTemplParams" colspan="2">template&lt;typename T&gt; </td></tr>
<tr class="memitem:ac816a4ae8a29c156b90377041000929a"><td class="memTemplItemLeft" align="right" valign="top">int64_t&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#ac816a4ae8a29c156b90377041000929a">dynamic_programming::mincoins_topdown::mincoins</a> (const T &amp;n, const std::vector&lt; T &gt; &amp;coins, const int16_t &amp;t, std::vector&lt; T &gt; dp)</td></tr>
<tr class="memdesc:ac816a4ae8a29c156b90377041000929a"><td class="mdescLeft">&#160;</td><td class="mdescRight">This implementation is for finding minimum number of coins . <br /></td></tr>
<tr class="separator:ac816a4ae8a29c156b90377041000929a"><td class="memSeparator" colspan="2">&#160;</td></tr>
@@ -207,7 +207,7 @@ Functions</h2></td></tr>
<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;typename T &gt; </div>
template&lt;typename T&gt; </div>
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<tr>
<td class="memname">int64_t dynamic_programming::mincoins_topdown::mincoins </td>
@@ -257,14 +257,13 @@ template&lt;typename T &gt; </div>
<div class="line"><span class="lineno"> 56</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; t; i++) {</div>
<div class="line"><span class="lineno"> 57</span> <span class="keywordflow">if</span> (n - coins[i] &gt;= 0) { <span class="comment">// if after subtracting the current</span></div>
<div class="line"><span class="lineno"> 58</span> <span class="comment">// denomination is it greater than 0 or not</span></div>
<div class="line"><span class="lineno"> 59</span> <span class="keywordtype">int</span> sub = <a class="code hl_function" href="#ac816a4ae8a29c156b90377041000929a">mincoins</a>(n - coins[i], coins, t, <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>);</div>
<div class="line"><span class="lineno"> 59</span> <span class="keywordtype">int</span> sub = mincoins(n - coins[i], coins, t, <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>);</div>
<div class="line"><span class="lineno"> 60</span> ans = std::min(ans, sub + 1);</div>
<div class="line"><span class="lineno"> 61</span> }</div>
<div class="line"><span class="lineno"> 62</span> }</div>
<div class="line"><span class="lineno"> 63</span> <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>[n] = ans;</div>
<div class="line"><span class="lineno"> 64</span> <span class="keywordflow">return</span> <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>[n]; <span class="comment">// returns minimum number of coins</span></div>
<div class="line"><span class="lineno"> 63</span> dp[n] = ans;</div>
<div class="line"><span class="lineno"> 64</span> <span class="keywordflow">return</span> dp[n]; <span class="comment">// returns minimum number of coins</span></div>
<div class="line"><span class="lineno"> 65</span>}</div>
<div class="ttc" id="acoin__change__topdown_8cpp_html_ac816a4ae8a29c156b90377041000929a"><div class="ttname"><a href="#ac816a4ae8a29c156b90377041000929a">dynamic_programming::mincoins_topdown::mincoins</a></div><div class="ttdeci">int64_t mincoins(const T &amp;n, const std::vector&lt; T &gt; &amp;coins, const int16_t &amp;t, std::vector&lt; T &gt; dp)</div><div class="ttdoc">This implementation is for finding minimum number of coins .</div><div class="ttdef"><b>Definition</b> <a href="../../d9/d31/coin__change__topdown_8cpp_source.html#l00047">coin_change_topdown.cpp:47</a></div></div>
<div class="ttc" id="anamespacedp_html"><div class="ttname"><a href="../../df/d88/namespacedp.html">dp</a></div><div class="ttdoc">for std::vector</div><div class="ttdef"><b>Definition</b> <a href="../../de/d8c/partition__problem_8cpp_source.html#l00039">partition_problem.cpp:39</a></div></div>
</div><!-- fragment -->
</div>
@@ -287,7 +286,7 @@ template&lt;typename T &gt; </div>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">static</span></span> </td>
<span class="mlabels"><span class="mlabel static">static</span></span> </td>
</tr>
</table>
</div><div class="memdoc">
@@ -304,10 +303,11 @@ template&lt;typename T &gt; </div>
<div class="line"><span class="lineno"> 79</span> std::vector&lt;int64_t&gt; arr1{1, 7, 10};</div>
<div class="line"><span class="lineno"> 80</span> std::vector&lt;int64_t&gt; dp1(n1 + 1);</div>
<div class="line"><span class="lineno"> 81</span> <a class="code hl_function" href="../../de/d85/decimal__to__roman__numeral_8cpp.html#a88203bd297e8405160c132faa1187780">fill</a>(dp1.begin(), dp1.end(), a1);</div>
<div class="line"><span class="lineno"> 82</span> assert(dynamic_programming::mincoins_topdown::mincoins(n1, arr1, t1, dp1) ==</div>
<div class="line"><span class="lineno"> 82</span> assert(<a class="code hl_function" href="#ac816a4ae8a29c156b90377041000929a">dynamic_programming::mincoins_topdown::mincoins</a>(n1, arr1, t1, dp1) ==</div>
<div class="line"><span class="lineno"> 83</span> 3);</div>
<div class="line"><span class="lineno"> 84</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Passed\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 85</span>}</div>
<div class="ttc" id="acoin__change__topdown_8cpp_html_ac816a4ae8a29c156b90377041000929a"><div class="ttname"><a href="#ac816a4ae8a29c156b90377041000929a">dynamic_programming::mincoins_topdown::mincoins</a></div><div class="ttdeci">int64_t mincoins(const T &amp;n, const std::vector&lt; T &gt; &amp;coins, const int16_t &amp;t, std::vector&lt; T &gt; dp)</div><div class="ttdoc">This implementation is for finding minimum number of coins .</div><div class="ttdef"><b>Definition</b> <a href="../../d9/d31/coin__change__topdown_8cpp_source.html#l00047">coin_change_topdown.cpp:47</a></div></div>
<div class="ttc" id="adecimal__to__roman__numeral_8cpp_html_a88203bd297e8405160c132faa1187780"><div class="ttname"><a href="../../de/d85/decimal__to__roman__numeral_8cpp.html#a88203bd297e8405160c132faa1187780">fill</a></div><div class="ttdeci">std::string fill(char c, int n)</div><div class="ttdef"><b>Definition</b> <a href="../../de/d85/decimal__to__roman__numeral_8cpp_source.html#l00015">decimal_to_roman_numeral.cpp:15</a></div></div>
</div><!-- fragment -->
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@@ -318,7 +318,7 @@ template&lt;typename T &gt; </div>
<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
<ul>
<li class="navelem"><a class="el" href="../../dir_8a20dd5bfd5341a725342bf72b6b686f.html">dynamic_programming</a></li><li class="navelem"><a class="el" href="../../d9/d31/coin__change__topdown_8cpp.html">coin_change_topdown.cpp</a></li>
<li class="footer">Generated by <a href="https://www.doxygen.org/index.html"><img class="footer" src="../../doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.12.0 </li>
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var coin__change__topdown_8cpp =
[
[ "main", "d9/d31/coin__change__topdown_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4", null ],
[ "mincoins", "d9/d31/coin__change__topdown_8cpp.html#ac816a4ae8a29c156b90377041000929a", null ],
[ "dynamic_programming::mincoins_topdown::mincoins", "d9/d31/coin__change__topdown_8cpp.html#ac816a4ae8a29c156b90377041000929a", null ],
[ "test", "d9/d31/coin__change__topdown_8cpp.html#aa8dca7b867074164d5f45b0f3851269d", null ]
];

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<head>
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<title>TheAlgorithms/C++: dynamic_programming/coin_change_topdown.cpp Source File</title>
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@@ -60,7 +60,7 @@ window.MathJax = {
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<!-- Generated by Doxygen 1.12.0 -->
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/* @license magnet:?xt=urn:btih:d3d9a9a6595521f9666a5e94cc830dab83b65699&amp;dn=expat.txt MIT */
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@@ -124,12 +124,13 @@ $(function(){initNavTree('d9/d31/coin__change__topdown_8cpp_source.html','../../
<div class="headertitle"><div class="title">coin_change_topdown.cpp</div></div>
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<div class="contents">
<a href="../../d9/d31/coin__change__topdown_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span> </div>
<a href="../../d9/d31/coin__change__topdown_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span></div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> </div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="preprocessor">#include &lt;cassert&gt;</span> <span class="comment">// for assert</span></div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="preprocessor">#include &lt;climits&gt;</span> <span class="comment">// for INT_MAX</span></div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="preprocessor">#include &lt;iostream&gt;</span> <span class="comment">// for io operations</span></div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="preprocessor">#include &lt;vector&gt;</span> <span class="comment">// for std::vector</span></div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> </div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span></div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../dd/d24/namespacedynamic__programming.html">dynamic_programming</a> {</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../d5/db8/namespacemincoins__topdown.html">mincoins_topdown</a> {</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
@@ -157,7 +158,7 @@ $(function(){initNavTree('d9/d31/coin__change__topdown_8cpp_source.html','../../
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> </div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span>} <span class="comment">// namespace mincoins_topdown</span></div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span>} <span class="comment">// namespace dynamic_programming</span></div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> </div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span></div>
<div class="foldopen" id="foldopen00074" data-start="{" data-end="}">
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"><a class="line" href="../../d9/d31/coin__change__topdown_8cpp.html#aa8dca7b867074164d5f45b0f3851269d"> 74</a></span><span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../d9/d31/coin__change__topdown_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>() {</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <span class="comment">// example 1: number of coins=3 and minimum coins required=3(7,7,1)</span></div>
@@ -167,12 +168,12 @@ $(function(){initNavTree('d9/d31/coin__change__topdown_8cpp_source.html','../../
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> std::vector&lt;int64_t&gt; arr1{1, 7, 10};</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> std::vector&lt;int64_t&gt; dp1(n1 + 1);</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <a class="code hl_function" href="../../de/d85/decimal__to__roman__numeral_8cpp.html#a88203bd297e8405160c132faa1187780">fill</a>(dp1.begin(), dp1.end(), a1);</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> assert(dynamic_programming::mincoins_topdown::mincoins(n1, arr1, t1, dp1) ==</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> assert(<a class="code hl_function" href="../../d9/d31/coin__change__topdown_8cpp.html#ac816a4ae8a29c156b90377041000929a">dynamic_programming::mincoins_topdown::mincoins</a>(n1, arr1, t1, dp1) ==</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> 3);</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Passed\n&quot;</span>;</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span>}</div>
</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> </div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span></div>
<div class="foldopen" id="foldopen00091" data-start="{" data-end="}">
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"><a class="line" href="../../d9/d31/coin__change__topdown_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 91</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../d9/d31/coin__change__topdown_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <a class="code hl_function" href="../../d9/d31/coin__change__topdown_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// execute the test</span></div>
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