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| 1 | +<h2><a href="https://leetcode.com/problems/frog-jump">Frog Jump</a></h2> <img src='https://img.shields.io/badge/Difficulty-Hard-red' alt='Difficulty: Hard' /><hr><p>A frog is crossing a river. The river is divided into some number of units, and at each unit, there may or may not exist a stone. The frog can jump on a stone, but it must not jump into the water.</p> |
| 2 | + |
| 3 | +<p>Given a list of <code>stones</code> positions (in units) in sorted <strong>ascending order</strong>, determine if the frog can cross the river by landing on the last stone. Initially, the frog is on the first stone and assumes the first jump must be <code>1</code> unit.</p> |
| 4 | + |
| 5 | +<p>If the frog's last jump was <code>k</code> units, its next jump must be either <code>k - 1</code>, <code>k</code>, or <code>k + 1</code> units. The frog can only jump in the forward direction.</p> |
| 6 | + |
| 7 | +<p> </p> |
| 8 | +<p><strong class="example">Example 1:</strong></p> |
| 9 | + |
| 10 | +<pre> |
| 11 | +<strong>Input:</strong> stones = [0,1,3,5,6,8,12,17] |
| 12 | +<strong>Output:</strong> true |
| 13 | +<strong>Explanation:</strong> The frog can jump to the last stone by jumping 1 unit to the 2nd stone, then 2 units to the 3rd stone, then 2 units to the 4th stone, then 3 units to the 6th stone, 4 units to the 7th stone, and 5 units to the 8th stone. |
| 14 | +</pre> |
| 15 | + |
| 16 | +<p><strong class="example">Example 2:</strong></p> |
| 17 | + |
| 18 | +<pre> |
| 19 | +<strong>Input:</strong> stones = [0,1,2,3,4,8,9,11] |
| 20 | +<strong>Output:</strong> false |
| 21 | +<strong>Explanation:</strong> There is no way to jump to the last stone as the gap between the 5th and 6th stone is too large. |
| 22 | +</pre> |
| 23 | + |
| 24 | +<p> </p> |
| 25 | +<p><strong>Constraints:</strong></p> |
| 26 | + |
| 27 | +<ul> |
| 28 | + <li><code>2 <= stones.length <= 2000</code></li> |
| 29 | + <li><code>0 <= stones[i] <= 2<sup>31</sup> - 1</code></li> |
| 30 | + <li><code>stones[0] == 0</code></li> |
| 31 | + <li><code>stones</code> is sorted in a strictly increasing order.</li> |
| 32 | +</ul> |
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