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<p>Implementation of an algorithm to solve the <a href="../../(https://leetcode.com/problems/jump-game/)" target="_blank">jumping game</a> problem.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;vector&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
<code>#include &lt;cassert&gt;</code><br />
</div><div class="textblock"><div class="dynheader">
Include dependency graph for jumpgame.cpp:</div>
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Functions</h2></td></tr>
<tr class="memitem:af205390325e8c999bd68b93fa5252755"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/d64/jumpgame_8cpp.html#af205390325e8c999bd68b93fa5252755">canJump</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; int &gt; &amp;nums)</td></tr>
<tr class="memdesc:af205390325e8c999bd68b93fa5252755"><td class="mdescLeft">&#160;</td><td class="mdescRight">This function implements the above algorithm. <br /></td></tr>
<tr class="separator:af205390325e8c999bd68b93fa5252755"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/d64/jumpgame_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function to test above algorithm. <br /></td></tr>
<tr class="separator:aa8dca7b867074164d5f45b0f3851269d"><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="../../df/d64/jumpgame_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Implementation of an algorithm to solve the <a href="../../(https://leetcode.com/problems/jump-game/)" target="_blank">jumping game</a> problem. </p>
<p><b>Problem statement:</b> Given an array of non-negative integers, you are initially positioned at the first index of the array. Each element in the array represents your maximum jump length at that position. Determine if you are able to reach the last index. This solution takes in input as a vector and output as a boolean to check if you can reach the last position. We name the indices good and bad based on whether we can reach the destination if we start at that position. We initialize the last index as lastPos. Here, we start from the end of the array and check if we can ever reach the first index. We check if the sum of the index and the maximum jump count given is greater than or equal to the lastPos. If yes, then that is the last position you can reach starting from the back. After the end of the loop, if we reach the lastPos as 0, then the destination can be reached from the start position. </p><dl class="section author"><dt>Author</dt><dd><a href="https://github.com/rakshaa2000" target="_blank">Rakshaa Viswanathan</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="af205390325e8c999bd68b93fa5252755" name="af205390325e8c999bd68b93fa5252755"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af205390325e8c999bd68b93fa5252755">&#9670;&#160;</a></span>canJump()</h2>
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<td class="memname">bool canJump </td>
<td>(</td>
<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; int &gt; &amp;&#160;</td>
<td class="paramname"><em>nums</em></td><td>)</td>
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<p>This function implements the above algorithm. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">array</td><td>of numbers containing the maximum jump (in steps) from that index </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>bool value whether final index can be reached or not </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 26</span> {</div>
<div class="line"><span class="lineno"> 27</span> <span class="keyword">auto</span> lastPos = nums.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>() - 1;</div>
<div class="line"><span class="lineno"> 28</span> <span class="keywordflow">for</span> (<span class="keyword">auto</span> i = nums.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>() - 1; i &gt;= 0; i--) {</div>
<div class="line"><span class="lineno"> 29</span> <span class="keywordflow">if</span> (i + nums[i] &gt;= lastPos) {</div>
<div class="line"><span class="lineno"> 30</span> lastPos = i;</div>
<div class="line"><span class="lineno"> 31</span> }</div>
<div class="line"><span class="lineno"> 32</span> }</div>
<div class="line"><span class="lineno"> 33</span> <span class="keywordflow">return</span> lastPos == 0;</div>
<div class="line"><span class="lineno"> 34</span>}</div>
<div class="ttc" id="asize_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/size.html">std::vector::size</a></div><div class="ttdeci">T size(T... args)</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&#160;</a></span>main()</h2>
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<td class="memname">int main </td>
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<p>Main function. </p>
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 65</span> {</div>
<div class="line"><span class="lineno"> 66</span> <a class="code hl_function" href="../../df/d64/jumpgame_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>();</div>
<div class="line"><span class="lineno"> 67</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 68</span>}</div>
<div class="ttc" id="ajumpgame_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../df/d64/jumpgame_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Function to test above algorithm.</div><div class="ttdef"><b>Definition:</b> jumpgame.cpp:41</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#aa8dca7b867074164d5f45b0f3851269d">&#9670;&#160;</a></span>test()</h2>
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<td class="memname">static void test </td>
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<p>Function to test above algorithm. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 41</span> {</div>
<div class="line"><span class="lineno"> 42</span> <span class="comment">// Test 1</span></div>
<div class="line"><span class="lineno"> 43</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a> num1={4,3,1,0,5};</div>
<div class="line"><span class="lineno"> 44</span> assert(<a class="code hl_function" href="../../df/d64/jumpgame_8cpp.html#af205390325e8c999bd68b93fa5252755">canJump</a>(num1)==<span class="keyword">true</span>);</div>
<div class="line"><span class="lineno"> 45</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a>&lt;&lt;<span class="stringliteral">&quot;Input: &quot;</span>;</div>
<div class="line"><span class="lineno"> 46</span> <span class="keywordflow">for</span>(<span class="keyword">auto</span> i: num1){</div>
<div class="line"><span class="lineno"> 47</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a>&lt;&lt;i&lt;&lt;<span class="stringliteral">&quot; &quot;</span>;</div>
<div class="line"><span class="lineno"> 48</span> }</div>
<div class="line"><span class="lineno"> 49</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a>&lt;&lt;<span class="stringliteral">&quot;Output: true&quot;</span>&lt;&lt;<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 50</span> <span class="comment">// Test 2</span></div>
<div class="line"><span class="lineno"> 51</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a> num2={3,2,1,0,4};</div>
<div class="line"><span class="lineno"> 52</span> assert(<a class="code hl_function" href="../../df/d64/jumpgame_8cpp.html#af205390325e8c999bd68b93fa5252755">canJump</a>(num2)==<span class="keyword">false</span>);</div>
<div class="line"><span class="lineno"> 53</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a>&lt;&lt;<span class="stringliteral">&quot;Input: &quot;</span>;</div>
<div class="line"><span class="lineno"> 54</span> <span class="keywordflow">for</span>(<span class="keyword">auto</span> i: num2){</div>
<div class="line"><span class="lineno"> 55</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a>&lt;&lt;i&lt;&lt;<span class="stringliteral">&quot; &quot;</span>;</div>
<div class="line"><span class="lineno"> 56</span> }</div>
<div class="line"><span class="lineno"> 57</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a>&lt;&lt;<span class="stringliteral">&quot;Output: false&quot;</span>&lt;&lt;<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 58</span>}</div>
<div class="ttc" id="abasic_ostream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div></div>
<div class="ttc" id="aendl_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div><div class="ttdeci">T endl(T... args)</div></div>
<div class="ttc" id="ajumpgame_8cpp_html_af205390325e8c999bd68b93fa5252755"><div class="ttname"><a href="../../df/d64/jumpgame_8cpp.html#af205390325e8c999bd68b93fa5252755">canJump</a></div><div class="ttdeci">bool canJump(const std::vector&lt; int &gt; &amp;nums)</div><div class="ttdoc">This function implements the above algorithm.</div><div class="ttdef"><b>Definition:</b> jumpgame.cpp:26</div></div>
<div class="ttc" id="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a></div></div>
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