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&#160;<span id="projectnumber">1.0.0</span>
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<div id="projectbrief">Set of algorithms implemented in C.</div>
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<p><a href="https://projecteuler.net/problem=20">Problem 20</a> solution
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;stdio.h&gt;</code><br />
<code>#include &lt;stdlib.h&gt;</code><br />
<code>#include &lt;time.h&gt;</code><br />
</div><div class="textblock"><div class="dynheader">
Include dependency graph for sol1.c:</div>
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Data Structures</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dc/d77/struct__big__int.html">_big_int</a></td></tr>
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Typedefs</h2></td></tr>
<tr class="memitem:a62cbbd106aad52daadb9403a07d0da32"><td class="memItemLeft" align="right" valign="top">typedef struct <a class="el" href="../../dc/d77/struct__big__int.html">_big_int</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d80/problem__20_2sol1_8c.html#a62cbbd106aad52daadb9403a07d0da32">big_int</a></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:afc373c28da6b17636528edcc97fb5f86"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../db/d80/problem__20_2sol1_8c.html#a62cbbd106aad52daadb9403a07d0da32">big_int</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d80/problem__20_2sol1_8c.html#afc373c28da6b17636528edcc97fb5f86">add_digit</a> (<a class="el" href="../../db/d80/problem__20_2sol1_8c.html#a62cbbd106aad52daadb9403a07d0da32">big_int</a> *digit, char value)</td></tr>
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<tr class="memitem:a54a02c4b963fdb16f24959e0137763f1"><td class="memItemLeft" align="right" valign="top">char&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d80/problem__20_2sol1_8c.html#a54a02c4b963fdb16f24959e0137763f1">remove_digits</a> (<a class="el" href="../../db/d80/problem__20_2sol1_8c.html#a62cbbd106aad52daadb9403a07d0da32">big_int</a> *digit, int <a class="el" href="../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4">N</a>)</td></tr>
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<tr class="memitem:a3c04138a5bfe5d72780bb7e82a18e627"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d80/problem__20_2sol1_8c.html#a3c04138a5bfe5d72780bb7e82a18e627">main</a> (int argc, char **argv)</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p><a href="https://projecteuler.net/problem=20">Problem 20</a> solution </p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/kvedala">Krishna Vedala</a></dd></dl>
<p>Implementation uses a custom <code>big_int</code> structure that can store arbitrarilty large integer numbers. </p>
</div><h2 class="groupheader">Typedef Documentation</h2>
<a id="a62cbbd106aad52daadb9403a07d0da32"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a62cbbd106aad52daadb9403a07d0da32">&#9670;&nbsp;</a></span>big_int</h2>
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<td class="memname">typedef struct <a class="el" href="../../dc/d77/struct__big__int.html">_big_int</a> <a class="el" href="../../db/d80/problem__20_2sol1_8c.html#a62cbbd106aad52daadb9403a07d0da32">big_int</a></td>
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<p>store arbitratily large integer values as a linked list of digits. </p>
</div>
</div>
<h2 class="groupheader">Function Documentation</h2>
<a id="afc373c28da6b17636528edcc97fb5f86"></a>
<h2 class="memtitle"><span class="permalink"><a href="#afc373c28da6b17636528edcc97fb5f86">&#9670;&nbsp;</a></span>add_digit()</h2>
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<td class="memname"><a class="el" href="../../db/d80/problem__20_2sol1_8c.html#a62cbbd106aad52daadb9403a07d0da32">big_int</a>* add_digit </td>
<td>(</td>
<td class="paramtype"><a class="el" href="../../db/d80/problem__20_2sol1_8c.html#a62cbbd106aad52daadb9403a07d0da32">big_int</a> *&#160;</td>
<td class="paramname"><em>digit</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">char&#160;</td>
<td class="paramname"><em>value</em>&#160;</td>
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<p>Function that allocates memory to add another digit at the MSB </p>
<div class="fragment"><div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160;{</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; <span class="keywordflow">if</span> (digit == NULL)</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160; {</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160; digit = (<a class="code" href="../../dc/d77/struct__big__int.html">big_int</a> *)malloc(<span class="keyword">sizeof</span>(<a class="code" href="../../dc/d77/struct__big__int.html">big_int</a>));</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160; <span class="keywordflow">if</span> (!digit)</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; perror(<span class="stringliteral">&quot;Unable to allocate memory!&quot;</span>);</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; <span class="keywordflow">return</span> NULL;</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160; }</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160; digit-&gt;value = value;</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160; digit-&gt;<a class="code" href="../../dc/d77/struct__big__int.html#a187538b984c86d7cfdb13e297e7f3564">next_digit</a> = NULL;</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160; digit-&gt;<a class="code" href="../../dc/d77/struct__big__int.html#ad8405989a924410942b39ec0e9fef30b">prev_digit</a> = NULL;</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160; </div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160; <span class="keywordflow">return</span> digit;</div>
<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; </div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160; <span class="keywordflow">if</span> (digit-&gt;<a class="code" href="../../dc/d77/struct__big__int.html#a187538b984c86d7cfdb13e297e7f3564">next_digit</a>)</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; {</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; digit-&gt;<a class="code" href="../../dc/d77/struct__big__int.html#a187538b984c86d7cfdb13e297e7f3564">next_digit</a>-&gt;value = value;</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; <span class="keywordflow">return</span> digit-&gt;<a class="code" href="../../dc/d77/struct__big__int.html#a187538b984c86d7cfdb13e297e7f3564">next_digit</a>;</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; }</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; </div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160; digit-&gt;<a class="code" href="../../dc/d77/struct__big__int.html#a187538b984c86d7cfdb13e297e7f3564">next_digit</a> = (<a class="code" href="../../dc/d77/struct__big__int.html">big_int</a> *)malloc(<span class="keyword">sizeof</span>(<a class="code" href="../../dc/d77/struct__big__int.html">big_int</a>));</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; <span class="keywordflow">if</span> (digit-&gt;<a class="code" href="../../dc/d77/struct__big__int.html#a187538b984c86d7cfdb13e297e7f3564">next_digit</a> == NULL)</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; {</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; perror(<span class="stringliteral">&quot;Unable to allocate memory!&quot;</span>);</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; <span class="keywordflow">return</span> NULL;</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; }</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; digit-&gt;<a class="code" href="../../dc/d77/struct__big__int.html#a187538b984c86d7cfdb13e297e7f3564">next_digit</a>-&gt;value = value;</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; digit-&gt;<a class="code" href="../../dc/d77/struct__big__int.html#a187538b984c86d7cfdb13e297e7f3564">next_digit</a>-&gt;<a class="code" href="../../dc/d77/struct__big__int.html#a187538b984c86d7cfdb13e297e7f3564">next_digit</a> = NULL;</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; digit-&gt;<a class="code" href="../../dc/d77/struct__big__int.html#a187538b984c86d7cfdb13e297e7f3564">next_digit</a>-&gt;<a class="code" href="../../dc/d77/struct__big__int.html#ad8405989a924410942b39ec0e9fef30b">prev_digit</a> = digit;</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160; <span class="keywordflow">return</span> digit-&gt;<a class="code" href="../../dc/d77/struct__big__int.html#a187538b984c86d7cfdb13e297e7f3564">next_digit</a>;</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a3c04138a5bfe5d72780bb7e82a18e627">&#9670;&nbsp;</a></span>main()</h2>
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<td class="memname">int main </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>argc</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">char **&#160;</td>
<td class="paramname"><em>argv</em>&#160;</td>
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<p>Main function </p>
<p>sum digits on the last iteration this avoid having another loop over all digits</p>
<p>Notice that in the loop above, we make sure that at the end of the loop, ptr is pointing to the last digit. Thus we can avoid using another loop.</p>
<div class="fragment"><div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160;{</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160; <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code" href="../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4">N</a> = 5;</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160; <a class="code" href="../../dc/d77/struct__big__int.html">big_int</a> *ptr = <a class="code" href="../../db/d80/problem__20_2sol1_8c.html#afc373c28da6b17636528edcc97fb5f86">add_digit</a>(NULL, 1); <span class="comment">/* start with 1 */</span></div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160; <span class="keyword">const</span> <a class="code" href="../../dc/d77/struct__big__int.html">big_int</a> *ptr0 = ptr; <span class="comment">/* save the first location */</span></div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160; <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> sum_digits = 0;</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160; <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> num_digits = 0;</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160; </div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160; <span class="keywordflow">if</span> (argc == 2)</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160; <a class="code" href="../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4">N</a> = atoi(argv[1]);</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160; </div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160; clock_t start_time = clock();</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160; </div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i = 1; i &lt;= <a class="code" href="../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4">N</a>; i++)</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160; {</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160; <span class="keywordtype">int</span> carry = 0;</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160;<span class="preprocessor">#ifdef DEBUG</span></div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160; printf(<span class="stringliteral">&quot;%3d: &quot;</span>, i);</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160; ptr = (<a class="code" href="../../dc/d77/struct__big__int.html">big_int</a> *)ptr0; <span class="comment">/* multiply every digit with i */</span></div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160; <span class="keywordflow">while</span> (ptr)</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160; {</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160;<span class="preprocessor">#ifdef DEBUG</span></div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160; printf(<span class="stringliteral">&quot;%p\t&quot;</span>, ptr);</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160; <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> tmp = ptr-&gt;value * i + carry;</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160; <span class="keywordflow">if</span> (tmp &gt;= 10)</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160; {</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>&#160; div_t tmp2 = div(tmp, 10);</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160; carry = tmp2.quot;</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160; tmp = tmp2.rem;</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160; }</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160; <span class="keywordflow">else</span></div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>&#160; carry = 0;</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160; </div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>&#160; <span class="keywordflow">if</span> (carry &gt; 0 &amp;&amp; ptr-&gt;<a class="code" href="../../dc/d77/struct__big__int.html#a187538b984c86d7cfdb13e297e7f3564">next_digit</a> == NULL)</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>&#160; <a class="code" href="../../db/d80/problem__20_2sol1_8c.html#afc373c28da6b17636528edcc97fb5f86">add_digit</a>(ptr, 0);</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>&#160; </div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>&#160; ptr-&gt;value = tmp;</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160; </div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>&#160; <span class="keywordflow">if</span> (i == <a class="code" href="../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4">N</a>)<span class="comment"></span></div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>&#160;<span class="comment"> /**</span></div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>&#160;<span class="comment"> * sum digits on the last iteration</span></div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>&#160;<span class="comment"> * this avoid having another loop over all digits</span></div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>&#160;<span class="comment"> **/</span></div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>&#160; sum_digits += tmp;</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>&#160; </div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>&#160; <span class="keywordflow">if</span> (ptr-&gt;<a class="code" href="../../dc/d77/struct__big__int.html#a187538b984c86d7cfdb13e297e7f3564">next_digit</a>)</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160; <span class="comment">/* more digits available */</span></div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160; ptr = ptr-&gt;<a class="code" href="../../dc/d77/struct__big__int.html#a187538b984c86d7cfdb13e297e7f3564">next_digit</a>;</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160; <span class="keywordflow">else</span></div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160; <span class="comment">/* no more digits left - reached MSB */</span></div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>&#160; <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>&#160; }</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>&#160;<span class="preprocessor">#ifdef DEBUG</span></div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>&#160; printf(<span class="stringliteral">&quot;\n&quot;</span>);</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>&#160; }</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>&#160; </div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160; clock_t end_time = clock();</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160; </div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160;<span class="preprocessor">#ifdef DEBUG</span></div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>&#160; printf(<span class="stringliteral">&quot;ptr = %p\n&quot;</span>, ptr);</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>&#160; printf(<span class="stringliteral">&quot;%d! = &quot;</span>, <a class="code" href="../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4">N</a>);</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>&#160;<span class="comment"> /** Notice that in the loop above, we make sure that at the end of the loop,</span></div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>&#160;<span class="comment"> * ptr is pointing to the last digit. Thus we can avoid using another loop.</span></div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>&#160;<span class="comment"> **/</span></div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>&#160; <span class="comment">// ptr = &amp;my_int;</span></div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>&#160; <span class="comment">// /* move ptr to the MSB digit */</span></div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>&#160; <span class="comment">// while (ptr-&gt;next_digit)</span></div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>&#160; <span class="comment">// ptr = ptr-&gt;next_digit;</span></div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>&#160; <span class="keywordflow">do</span></div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>&#160; {</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>&#160; putchar(ptr-&gt;value + 0x30); <span class="comment">/* convert digit to ASCII char */</span></div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>&#160; ptr = ptr-&gt;<a class="code" href="../../dc/d77/struct__big__int.html#ad8405989a924410942b39ec0e9fef30b">prev_digit</a>;</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160; num_digits++;</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>&#160; } <span class="keywordflow">while</span> (ptr); <span class="comment">/* after coming to units place, there will be no valid ptr */</span></div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>&#160; </div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>&#160; printf(<span class="stringliteral">&quot;\nTime taken: %.4g millisecond\n&quot;</span>,</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>&#160; 1e3 * (end_time - start_time) / CLOCKS_PER_SEC);</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>&#160; printf(</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>&#160; <span class="stringliteral">&quot;Digit Sum = %lu\tNumber of digits = %lu\tStorage space = %.3gkb\t \n&quot;</span>,</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>&#160; sum_digits, num_digits, num_digits * <span class="keyword">sizeof</span>(<a class="code" href="../../dc/d77/struct__big__int.html">big_int</a>) / 1024.0);</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>&#160; </div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>&#160; <a class="code" href="../../db/d80/problem__20_2sol1_8c.html#a54a02c4b963fdb16f24959e0137763f1">remove_digits</a>((<a class="code" href="../../dc/d77/struct__big__int.html">big_int</a> *)ptr0, -1);</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a54a02c4b963fdb16f24959e0137763f1">&#9670;&nbsp;</a></span>remove_digits()</h2>
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<td class="memname">char remove_digits </td>
<td>(</td>
<td class="paramtype"><a class="el" href="../../db/d80/problem__20_2sol1_8c.html#a62cbbd106aad52daadb9403a07d0da32">big_int</a> *&#160;</td>
<td class="paramname"><em>digit</em>, </td>
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<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>N</em>&#160;</td>
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<p>Function to remove digits preceeding the current digit. </p>
<div class="fragment"><div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160;{</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160; <span class="keywordflow">if</span> (digit == NULL)</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; </div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; <span class="keywordflow">if</span> (digit-&gt;<a class="code" href="../../dc/d77/struct__big__int.html#a187538b984c86d7cfdb13e297e7f3564">next_digit</a> == NULL)</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; {</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; free(digit);</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; digit = NULL;</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; }</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160; </div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4">N</a> &gt; 0)</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160; <span class="keywordflow">return</span> <a class="code" href="../../db/d80/problem__20_2sol1_8c.html#a54a02c4b963fdb16f24959e0137763f1">remove_digits</a>(digit-&gt;<a class="code" href="../../dc/d77/struct__big__int.html#a187538b984c86d7cfdb13e297e7f3564">next_digit</a>, <a class="code" href="../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4">N</a> - 1);</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160; </div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; <span class="keywordflow">return</span> <a class="code" href="../../db/d80/problem__20_2sol1_8c.html#a54a02c4b963fdb16f24959e0137763f1">remove_digits</a>(digit-&gt;<a class="code" href="../../dc/d77/struct__big__int.html#a187538b984c86d7cfdb13e297e7f3564">next_digit</a>, 0);</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160;}</div>
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<div class="ttc" id="aproblem__20_2sol1_8c_html_a54a02c4b963fdb16f24959e0137763f1"><div class="ttname"><a href="../../db/d80/problem__20_2sol1_8c.html#a54a02c4b963fdb16f24959e0137763f1">remove_digits</a></div><div class="ttdeci">char remove_digits(big_int *digit, int N)</div><div class="ttdef"><b>Definition:</b> sol1.c:76</div></div>
<div class="ttc" id="aproblem__13_2sol1_8c_html_a0240ac851181b84ac374872dc5434ee4"><div class="ttname"><a href="../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4">N</a></div><div class="ttdeci">#define N</div><div class="ttdef"><b>Definition:</b> sol1.c:111</div></div>
<div class="ttc" id="astruct__big__int_html_a187538b984c86d7cfdb13e297e7f3564"><div class="ttname"><a href="../../dc/d77/struct__big__int.html#a187538b984c86d7cfdb13e297e7f3564">_big_int::next_digit</a></div><div class="ttdeci">struct _big_int * next_digit</div><div class="ttdef"><b>Definition:</b> sol1.c:20</div></div>
<div class="ttc" id="astruct__big__int_html_ad8405989a924410942b39ec0e9fef30b"><div class="ttname"><a href="../../dc/d77/struct__big__int.html#ad8405989a924410942b39ec0e9fef30b">_big_int::prev_digit</a></div><div class="ttdeci">struct _big_int * prev_digit</div><div class="ttdef"><b>Definition:</b> sol1.c:21</div></div>
<div class="ttc" id="astruct__big__int_html"><div class="ttname"><a href="../../dc/d77/struct__big__int.html">_big_int</a></div><div class="ttdef"><b>Definition:</b> sol1.c:18</div></div>
<div class="ttc" id="aproblem__20_2sol1_8c_html_afc373c28da6b17636528edcc97fb5f86"><div class="ttname"><a href="../../db/d80/problem__20_2sol1_8c.html#afc373c28da6b17636528edcc97fb5f86">add_digit</a></div><div class="ttdeci">big_int * add_digit(big_int *digit, char value)</div><div class="ttdef"><b>Definition:</b> sol1.c:37</div></div>
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