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| 1 | +<h2><a href="https://leetcode.com/problems/gas-station/">134. Gas Station</a></h2><h3>Medium</h3><hr><div><p>There are <code>n</code> gas stations along a circular route, where the amount of gas at the <code>i<sup>th</sup></code> station is <code>gas[i]</code>.</p> |
| 2 | + |
| 3 | +<p>You have a car with an unlimited gas tank and it costs <code>cost[i]</code> of gas to travel from the <code>i<sup>th</sup></code> station to its next <code>(i + 1)<sup>th</sup></code> station. You begin the journey with an empty tank at one of the gas stations.</p> |
| 4 | + |
| 5 | +<p>Given two integer arrays <code>gas</code> and <code>cost</code>, return <em>the starting gas station's index if you can travel around the circuit once in the clockwise direction, otherwise return</em> <code>-1</code>. If there exists a solution, it is <strong>guaranteed</strong> to be <strong>unique</strong></p> |
| 6 | + |
| 7 | +<p> </p> |
| 8 | +<p><strong class="example">Example 1:</strong></p> |
| 9 | + |
| 10 | +<pre><strong>Input:</strong> gas = [1,2,3,4,5], cost = [3,4,5,1,2] |
| 11 | +<strong>Output:</strong> 3 |
| 12 | +<strong>Explanation:</strong> |
| 13 | +Start at station 3 (index 3) and fill up with 4 unit of gas. Your tank = 0 + 4 = 4 |
| 14 | +Travel to station 4. Your tank = 4 - 1 + 5 = 8 |
| 15 | +Travel to station 0. Your tank = 8 - 2 + 1 = 7 |
| 16 | +Travel to station 1. Your tank = 7 - 3 + 2 = 6 |
| 17 | +Travel to station 2. Your tank = 6 - 4 + 3 = 5 |
| 18 | +Travel to station 3. The cost is 5. Your gas is just enough to travel back to station 3. |
| 19 | +Therefore, return 3 as the starting index. |
| 20 | +</pre> |
| 21 | + |
| 22 | +<p><strong class="example">Example 2:</strong></p> |
| 23 | + |
| 24 | +<pre><strong>Input:</strong> gas = [2,3,4], cost = [3,4,3] |
| 25 | +<strong>Output:</strong> -1 |
| 26 | +<strong>Explanation:</strong> |
| 27 | +You can't start at station 0 or 1, as there is not enough gas to travel to the next station. |
| 28 | +Let's start at station 2 and fill up with 4 unit of gas. Your tank = 0 + 4 = 4 |
| 29 | +Travel to station 0. Your tank = 4 - 3 + 2 = 3 |
| 30 | +Travel to station 1. Your tank = 3 - 3 + 3 = 3 |
| 31 | +You cannot travel back to station 2, as it requires 4 unit of gas but you only have 3. |
| 32 | +Therefore, you can't travel around the circuit once no matter where you start. |
| 33 | +</pre> |
| 34 | + |
| 35 | +<p> </p> |
| 36 | +<p><strong>Constraints:</strong></p> |
| 37 | + |
| 38 | +<ul> |
| 39 | + <li><code>n == gas.length == cost.length</code></li> |
| 40 | + <li><code>1 <= n <= 10<sup>5</sup></code></li> |
| 41 | + <li><code>0 <= gas[i], cost[i] <= 10<sup>4</sup></code></li> |
| 42 | +</ul> |
| 43 | +</div> |
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