Package g0901_1000.s0975_odd_even_jump
Class Solution
java.lang.Object
g0901_1000.s0975_odd_even_jump.Solution
975 - Odd Even Jump.<p>Hard</p>
<p>You are given an integer array <code>arr</code>. From some starting index, you can make a series of jumps. The (1<sup>st</sup>, 3<sup>rd</sup>, 5<sup>th</sup>, …) jumps in the series are called <strong>odd-numbered jumps</strong> , and the (2<sup>nd</sup>, 4<sup>th</sup>, 6<sup>th</sup>, …) jumps in the series are called <strong>even-numbered jumps</strong>. Note that the <strong>jumps</strong> are numbered, not the indices.</p>
<p>You may jump forward from index <code>i</code> to index <code>j</code> (with <code>i < j</code>) in the following way:</p>
<ul>
<li>During <strong>odd-numbered jumps</strong> (i.e., jumps 1, 3, 5, …), you jump to the index <code>j</code> such that <code>arr[i] <= arr[j]</code> and <code>arr[j]</code> is the smallest possible value. If there are multiple such indices <code>j</code>, you can only jump to the <strong>smallest</strong> such index <code>j</code>.</li>
<li>During <strong>even-numbered jumps</strong> (i.e., jumps 2, 4, 6, …), you jump to the index <code>j</code> such that <code>arr[i] >= arr[j]</code> and <code>arr[j]</code> is the largest possible value. If there are multiple such indices <code>j</code>, you can only jump to the <strong>smallest</strong> such index <code>j</code>.</li>
<li>It may be the case that for some index <code>i</code>, there are no legal jumps.</li>
</ul>
<p>A starting index is <strong>good</strong> if, starting from that index, you can reach the end of the array (index <code>arr.length - 1</code>) by jumping some number of times (possibly 0 or more than once).</p>
<p>Return <em>the number of <strong>good</strong> starting indices</em>.</p>
<p><strong>Example 1:</strong></p>
<p><strong>Input:</strong> arr = [10,13,12,14,15]</p>
<p><strong>Output:</strong> 2</p>
<p><strong>Explanation:</strong></p>
<p>From starting index i = 0, we can make our 1st jump to i = 2 (since arr[2] is the smallest among arr[1],</p>
<p>arr[2], arr[3], arr[4] that is greater or equal to arr[0]), then we cannot jump any more.</p>
<p>From starting index i = 1 and i = 2, we can make our 1st jump to i = 3, then we cannot jump any more.</p>
<p>From starting index i = 3, we can make our 1st jump to i = 4, so we have reached the end.</p>
<p>From starting index i = 4, we have reached the end already.</p>
<p>In total, there are 2 different starting indices i = 3 and i = 4, where we can reach the end with some number of jumps.</p>
<p><strong>Example 2:</strong></p>
<p><strong>Input:</strong> arr = [2,3,1,1,4]</p>
<p><strong>Output:</strong> 3</p>
<p><strong>Explanation:</strong></p>
<p>From starting index i = 0, we make jumps to i = 1, i = 2, i = 3:</p>
<p>During our 1st jump (odd-numbered), we first jump to i = 1 because arr[1] is the smallest value in [arr[1],</p>
<p>arr[2], arr[3], arr[4]] that is greater than or equal to arr[0].</p>
<p>During our 2nd jump (even-numbered), we jump from i = 1 to i = 2 because arr[2] is the largest value in</p>
<p>[arr[2], arr[3], arr[4]] that is less than or equal to arr[1]. arr[3] is also the largest value, but 2 is a</p>
<p>smaller index, so we can only jump to i = 2 and not i = 3</p>
<p>During our 3rd jump (odd-numbered), we jump from i = 2 to i = 3 because arr[3] is the smallest value in</p>
<p>[arr[3], arr[4]] that is greater than or equal to arr[2].</p>
<p>We can’t jump from i = 3 to i = 4, so the starting index i = 0 is not good.</p>
<p>In a similar manner, we can deduce that: From starting index i = 1, we jump to i = 4, so we reach the end.</p>
<p>From starting index i = 2, we jump to i = 3, and then we can’t jump anymore.</p>
<p>From starting index i = 3, we jump to i = 4, so we reach the end.</p>
<p>From starting index i = 4, we are already at the end.</p>
<p>In total, there are 3 different starting indices i = 1, i = 3, and i = 4, where we can reach the end with</p>
<p>some number of jumps.</p>
<p><strong>Example 3:</strong></p>
<p><strong>Input:</strong> arr = [5,1,3,4,2]</p>
<p><strong>Output:</strong> 3</p>
<p><strong>Explanation:</strong> We can reach the end from starting indices 1, 2, and 4.</p>
<p><strong>Constraints:</strong></p>
<ul>
<li><code>1 <= arr.length <= 2 * 10<sup>4</sup></code></li>
<li><code>0 <= arr[i] < 10<sup>5</sup></code></li>
</ul>
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Solution
public Solution()
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Method Details
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oddEvenJumps
public int oddEvenJumps(int[] arr)
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