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<div class="headertitle"><div class="title">coin_change_topdown.cpp</div></div>
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<div class="contents">
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<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>
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<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> </div>
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<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="preprocessor">#include <cassert></span> <span class="comment">// for assert</span></div>
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<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="preprocessor">#include <climits></span> <span class="comment">// for INT_MAX</span></div>
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<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="preprocessor">#include <iostream></span> <span class="comment">// for io operations</span></div>
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<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="preprocessor">#include <vector></span> <span class="comment">// for std::vector</span></div>
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<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span></div>
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<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>
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<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>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span><span class="keyword">template</span> <<span class="keyword">typename</span> T></div>
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<div class="foldopen" id="foldopen00047" data-start="{" data-end="}">
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"><a class="line" href="../../d9/d31/coin__change__topdown_8cpp.html#ac816a4ae8a29c156b90377041000929a"> 47</a></span>int64_t <a class="code hl_function" href="../../d9/d31/coin__change__topdown_8cpp.html#ac816a4ae8a29c156b90377041000929a">mincoins</a>(<span class="keyword">const</span> T &n, <span class="keyword">const</span> std::vector<T> &coins, <span class="keyword">const</span> int16_t &t,</div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> std::vector<T> <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>) {</div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <span class="keywordflow">if</span> (n == 0) {</div>
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<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> }</div>
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<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> <span class="keywordflow">if</span> (<a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>[n] != 0) {</div>
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<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> <span class="keywordflow">return</span> <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>[n];</div>
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<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> }</div>
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<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <span class="keywordtype">int</span> ans = INT_MAX; <span class="comment">// variable to store min coins</span></div>
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < t; i++) {</div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="keywordflow">if</span> (n - coins[i] >= 0) { <span class="comment">// if after subtracting the current</span></div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <span class="comment">// denomination is it greater than 0 or not</span></div>
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<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <span class="keywordtype">int</span> sub = <a class="code hl_function" href="../../d9/d31/coin__change__topdown_8cpp.html#ac816a4ae8a29c156b90377041000929a">mincoins</a>(n - coins[i], coins, t, <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>);</div>
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<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> ans = std::min(ans, sub + 1);</div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> }</div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> }</div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>[n] = ans;</div>
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<div class="line"><a id="l00064" name="l00064"></a><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>
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<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span>}</div>
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</div>
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<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> </div>
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span>} <span class="comment">// namespace mincoins_topdown</span></div>
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<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span>} <span class="comment">// namespace dynamic_programming</span></div>
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<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span></div>
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<div class="foldopen" id="foldopen00074" data-start="{" data-end="}">
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<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>
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<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>
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <span class="keyword">const</span> int64_t n1 = 15;</div>
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<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> <span class="keyword">const</span> int8_t t1 = 3, a1 = 0;</div>
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<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> std::cout << <span class="stringliteral">"\nTest 1..."</span>;</div>
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<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> std::vector<int64_t> arr1{1, 7, 10};</div>
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<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> std::vector<int64_t> dp1(n1 + 1);</div>
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<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>
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<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>
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<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> 3);</div>
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<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> std::cout << <span class="stringliteral">"Passed\n"</span>;</div>
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<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span>}</div>
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</div>
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<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span></div>
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<div class="foldopen" id="foldopen00091" data-start="{" data-end="}">
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<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>
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<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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<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span>}</div>
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</div>
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<div class="ttc" id="acoin__change__topdown_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../d9/d31/coin__change__topdown_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Test implementations.</div><div class="ttdef"><b>Definition</b> <a href="#l00074">coin_change_topdown.cpp:74</a></div></div>
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<div class="ttc" id="acoin__change__topdown_8cpp_html_ac816a4ae8a29c156b90377041000929a"><div class="ttname"><a href="../../d9/d31/coin__change__topdown_8cpp.html#ac816a4ae8a29c156b90377041000929a">dynamic_programming::mincoins_topdown::mincoins</a></div><div class="ttdeci">int64_t mincoins(const T &n, const std::vector< T > &coins, const int16_t &t, std::vector< T > dp)</div><div class="ttdoc">This implementation is for finding minimum number of coins .</div><div class="ttdef"><b>Definition</b> <a href="#l00047">coin_change_topdown.cpp:47</a></div></div>
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<div class="ttc" id="acoin__change__topdown_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d9/d31/coin__change__topdown_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdoc">Main function.</div><div class="ttdef"><b>Definition</b> <a href="#l00091">coin_change_topdown.cpp:91</a></div></div>
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<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>
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<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>
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<div class="ttc" id="anamespacedynamic__programming_html"><div class="ttname"><a href="../../dd/d24/namespacedynamic__programming.html">dynamic_programming</a></div><div class="ttdoc">Dynamic Programming algorithms.</div></div>
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<div class="ttc" id="anamespacemincoins__topdown_html"><div class="ttname"><a href="../../d5/db8/namespacemincoins__topdown.html">mincoins_topdown</a></div><div class="ttdoc">Functions for minimum coin exchange problem.</div></div>
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