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<a href="#func-members">Functions</a> </div>
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<div class="title">sol1.c File Reference</div> </div>
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</div><!--header-->
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<div class="contents">
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<p><a href="https://projecteuler.net/problem=19">Problem 19</a> solution
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<a href="#details">More...</a></p>
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<div class="textblock"><code>#include <stdio.h></code><br />
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</div><div class="textblock"><div class="dynheader">
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Include dependency graph for sol1.c:</div>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
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Functions</h2></td></tr>
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<tr class="memitem:ab7f9ad087f124b8e0615aa535b4c8a75"><td class="memItemLeft" align="right" valign="top">char </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/df0/problem__19_2sol1_8c.html#ab7f9ad087f124b8e0615aa535b4c8a75">get_month_days</a> (short month)</td></tr>
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<tr class="separator:ab7f9ad087f124b8e0615aa535b4c8a75"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a6561b1adc8a19c092679b9874da24e2e"><td class="memItemLeft" align="right" valign="top">char </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/df0/problem__19_2sol1_8c.html#a6561b1adc8a19c092679b9874da24e2e">is_leap_year</a> (short year)</td></tr>
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<tr class="separator:a6561b1adc8a19c092679b9874da24e2e"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a3c04138a5bfe5d72780bb7e82a18e627"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/df0/problem__19_2sol1_8c.html#a3c04138a5bfe5d72780bb7e82a18e627">main</a> (int argc, char **argv)</td></tr>
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<tr class="separator:a3c04138a5bfe5d72780bb7e82a18e627"><td class="memSeparator" colspan="2"> </td></tr>
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</table>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<div class="textblock"><p><a href="https://projecteuler.net/problem=19">Problem 19</a> solution </p>
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<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/kvedala">Krishna Vedala</a> </dd></dl>
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</div><h2 class="groupheader">Function Documentation</h2>
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<a id="ab7f9ad087f124b8e0615aa535b4c8a75"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#ab7f9ad087f124b8e0615aa535b4c8a75">◆ </a></span>get_month_days()</h2>
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<div class="memitem">
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<td class="memname">char get_month_days </td>
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<td>(</td>
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<td class="paramtype">short </td>
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<td class="paramname"><em>month</em></td><td>)</td>
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<td></td>
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</div><div class="memdoc">
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<p>returns number of days in a month. Month is identified by an integer -<br />
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</p><blockquote class="doxtable">
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<p>0 = Jan and 11 = December<br />
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</p>
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</blockquote>
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<p>For February, adjust for leap year outside the function. </p>
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<div class="fragment"><div class="line"><a name="l00015"></a><span class="lineno"> 15</span> {</div>
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<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>  <span class="keywordflow">if</span> (month == 1) <span class="comment">/* February has 28 days. Adjust leap year in the loop */</span></div>
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<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>  <span class="keywordflow">return</span> 28;</div>
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<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (month <= 6) <span class="comment">/* odd months till July have 30 days - Jan = 0 (even)*/</span></div>
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<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>  {</div>
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<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>  <span class="keywordflow">if</span> (month & 0x01)</div>
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<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>  <span class="keywordflow">return</span> 30;</div>
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<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>  <span class="keywordflow">else</span></div>
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<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>  <span class="keywordflow">return</span> 31;</div>
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<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  }</div>
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<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (month >= 7) <span class="comment">/* odd months after July have 31 days*/</span></div>
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<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  {</div>
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<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  <span class="keywordflow">if</span> (month & 0x01)</div>
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<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  <span class="keywordflow">return</span> 31;</div>
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<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  <span class="keywordflow">else</span></div>
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<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  <span class="keywordflow">return</span> 30;</div>
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<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  }</div>
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<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  <span class="comment">/* should never reach here! */</span></div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  perror(<span class="stringliteral">"Should never have reached this point!\n"</span>);</div>
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<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <span class="keywordflow">return</span> -1;</div>
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<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> }</div>
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</div><!-- fragment -->
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<a id="a6561b1adc8a19c092679b9874da24e2e"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a6561b1adc8a19c092679b9874da24e2e">◆ </a></span>is_leap_year()</h2>
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<div class="memitem">
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<div class="memproto">
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<td class="memname">char is_leap_year </td>
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<td>(</td>
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<td class="paramtype">short </td>
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<td class="paramname"><em>year</em></td><td>)</td>
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<td></td>
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</div><div class="memdoc">
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<p>return 1 if input year is a leap year otherwise, return 0 </p>
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<div class="fragment"><div class="line"><a name="l00042"></a><span class="lineno"> 42</span> {</div>
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<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <span class="keywordflow">if</span> ((year % 400 == 0) || ((year % 4 == 0) && (year % 100 != 0)))</div>
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<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <span class="keywordflow">return</span> 1;</div>
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<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  </div>
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<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> }</div>
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</div><!-- fragment -->
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<a id="a3c04138a5bfe5d72780bb7e82a18e627"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a3c04138a5bfe5d72780bb7e82a18e627">◆ </a></span>main()</h2>
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<td class="memname">int main </td>
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<td>(</td>
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<td class="paramtype">int </td>
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<td class="paramname"><em>argc</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">char ** </td>
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<td class="paramname"><em>argv</em> </td>
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</tr>
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<td></td>
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<td>)</td>
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<td></td><td></td>
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</div><div class="memdoc">
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<p>Main function </p>
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<p>Let us identify days i.e., Sunday thru Saturday with integers - 0 thru 6 respectively Jan 1 1901 was a Tuesday</p>
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<p>These two for-loops count the start of day for the next month. Hence, we have to skip the last December count</p>
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<p>Main Algorithm: every week has 7 days hence, the start of next day would be modulo 7 add to this, the current start date and ensure the result is still modulo 7!</p>
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<div class="fragment"><div class="line"><a name="l00077"></a><span class="lineno"> 77</span> {</div>
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<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="keywordtype">int</span> count_sundays = 0;</div>
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<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <span class="keyword">const</span> <span class="keywordtype">short</span> start_year = 1901;</div>
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<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="keyword">const</span> <span class="keywordtype">short</span> end_year = 2000;</div>
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<div class="line"><a name="l00081"></a><span class="lineno"> 81</span> <span class="comment"></span> </div>
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<div class="line"><a name="l00082"></a><span class="lineno"> 82</span> <span class="comment"> /**</span></div>
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<div class="line"><a name="l00083"></a><span class="lineno"> 83</span> <span class="comment"> * Let us identify days i.e., Sunday thru Saturday with integers - 0 thru 6</span></div>
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<div class="line"><a name="l00084"></a><span class="lineno"> 84</span> <span class="comment"> *respectively Jan 1 1901 was a Tuesday</span></div>
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<div class="line"><a name="l00085"></a><span class="lineno"> 85</span> <span class="comment"> **/</span></div>
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<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="keywordtype">char</span> start_day = 2;</div>
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<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  </div>
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<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> year = start_year; year <= end_year; year++)</div>
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<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  {</div>
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<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <span class="keywordtype">char</span> is_leap = <a class="code" href="../../dd/df0/problem__19_2sol1_8c.html#a6561b1adc8a19c092679b9874da24e2e">is_leap_year</a>(year);</div>
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<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <span class="keywordflow">for</span> (<span class="keywordtype">char</span> month = 0; month < 12; month++)</div>
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<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  {<span class="comment"></span></div>
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<div class="line"><a name="l00093"></a><span class="lineno"> 93</span> <span class="comment"> /**</span></div>
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<div class="line"><a name="l00094"></a><span class="lineno"> 94</span> <span class="comment"> * These two for-loops count the start of day for the next month.</span></div>
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<div class="line"><a name="l00095"></a><span class="lineno"> 95</span> <span class="comment"> * Hence, we have to skip the last December count */</span></div>
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<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="keywordflow">if</span> (year == end_year && month == 11)</div>
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<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <span class="keywordflow">continue</span>;</div>
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<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  </div>
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<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="keywordtype">int</span> days = <a class="code" href="../../dd/df0/problem__19_2sol1_8c.html#ab7f9ad087f124b8e0615aa535b4c8a75">get_month_days</a>(month);</div>
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<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  </div>
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<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="keywordflow">if</span> (is_leap && month == 1) <span class="comment">/* for a leap year february, add a day */</span></div>
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<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  days++;</div>
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<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  </div>
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<div class="line"><a name="l00104"></a><span class="lineno"> 104</span> <span class="preprocessor">#ifdef DEBUG</span></div>
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<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <span class="keywordflow">if</span> (year == end_year)</div>
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<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  {</div>
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<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  printf(<span class="stringliteral">"Year: %d\t Month: %d\t Days: %d\t First of day: %s\n"</span>,</div>
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<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  year, month, days, day_string(start_day));</div>
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<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  }</div>
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<div class="line"><a name="l00110"></a><span class="lineno"> 110</span> <span class="preprocessor">#endif</span></div>
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<div class="line"><a name="l00111"></a><span class="lineno"> 111</span> <span class="comment"></span> </div>
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<div class="line"><a name="l00112"></a><span class="lineno"> 112</span> <span class="comment"> /** Main Algorithm:</span></div>
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<div class="line"><a name="l00113"></a><span class="lineno"> 113</span> <span class="comment"> * every week has 7 days hence, the start of next day would be</span></div>
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<div class="line"><a name="l00114"></a><span class="lineno"> 114</span> <span class="comment"> *modulo 7 add to this, the current start date and ensure the result</span></div>
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<div class="line"><a name="l00115"></a><span class="lineno"> 115</span> <span class="comment"> *is still modulo 7!</span></div>
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<div class="line"><a name="l00116"></a><span class="lineno"> 116</span> <span class="comment"> **/</span></div>
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<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  start_day = ((days % 7) + start_day) % 7;</div>
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<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  </div>
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<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <span class="comment">/* If start-day is a Sunday, increment counter */</span></div>
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<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <span class="keywordflow">if</span> (start_day == 0)</div>
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<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  count_sundays++;</div>
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<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  }</div>
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<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  }</div>
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<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  </div>
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<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  printf(<span class="stringliteral">"Total number of Sundays that happened on the 1st of a month in the "</span></div>
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<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <span class="stringliteral">"last century: %d\n"</span>,</div>
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<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  count_sundays);</div>
|
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<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  </div>
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<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a name="l00130"></a><span class="lineno"> 130</span> }</div>
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</div><!-- fragment --><div class="dynheader">
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Here is the call graph for this function:</div>
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../dd/df0/problem__19_2sol1_8c_a3c04138a5bfe5d72780bb7e82a18e627_cgraph.svg" width="228" height="88"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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</div><!-- contents -->
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</div><!-- doc-content -->
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<div class="ttc" id="aproblem__19_2sol1_8c_html_ab7f9ad087f124b8e0615aa535b4c8a75"><div class="ttname"><a href="../../dd/df0/problem__19_2sol1_8c.html#ab7f9ad087f124b8e0615aa535b4c8a75">get_month_days</a></div><div class="ttdeci">char get_month_days(short month)</div><div class="ttdef"><b>Definition:</b> sol1.c:14</div></div>
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<div class="ttc" id="aproblem__19_2sol1_8c_html_a6561b1adc8a19c092679b9874da24e2e"><div class="ttname"><a href="../../dd/df0/problem__19_2sol1_8c.html#a6561b1adc8a19c092679b9874da24e2e">is_leap_year</a></div><div class="ttdeci">char is_leap_year(short year)</div><div class="ttdef"><b>Definition:</b> sol1.c:41</div></div>
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<li class="navelem"><a class="el" href="../../dir_b3d331eabd4234f247030c297aaf021c.html">project_euler</a></li><li class="navelem"><a class="el" href="../../dir_0bc3e2a5baf077fa21dadc079776fcac.html">problem_19</a></li><li class="navelem"><a class="el" href="../../dd/df0/problem__19_2sol1_8c.html">sol1.c</a></li>
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<li class="footer">Generated on Sun Jun 28 2020 15:07:07 for Algorithms_in_C by
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