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51 lines
3.1 KiB
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<p>You are given a <strong>0-indexed</strong> integer array <code>buses</code> of length <code>n</code>, where <code>buses[i]</code> represents the departure time of the <code>i<sup>th</sup></code> bus. You are also given a <strong>0-indexed</strong> integer array <code>passengers</code> of length <code>m</code>, where <code>passengers[j]</code> represents the arrival time of the <code>j<sup>th</sup></code> passenger. All bus departure times are unique. All passenger arrival times are unique.</p>
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<p>You are given an integer <code>capacity</code>, which represents the <strong>maximum</strong> number of passengers that can get on each bus.</p>
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<p>When a passenger arrives, they will wait in line for the next available bus. You can get on a bus that departs at <code>x</code> minutes if you arrive at <code>y</code> minutes where <code>y <= x</code>, and the bus is not full. Passengers with the <strong>earliest</strong> arrival times get on the bus first.</p>
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<p>More formally when a bus arrives, either:</p>
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<ul>
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<li>If <code>capacity</code> or fewer passengers are waiting for a bus, they will <strong>all</strong> get on the bus, or</li>
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<li>The <code>capacity</code> passengers with the <strong>earliest</strong> arrival times will get on the bus.</li>
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</ul>
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<p>Return <em>the latest time you may arrive at the bus station to catch a bus</em>. You <strong>cannot</strong> arrive at the same time as another passenger.</p>
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<p><strong>Note: </strong>The arrays <code>buses</code> and <code>passengers</code> are not necessarily sorted.</p>
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<p> </p>
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<p><strong class="example">Example 1:</strong></p>
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<pre>
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<strong>Input:</strong> buses = [10,20], passengers = [2,17,18,19], capacity = 2
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<strong>Output:</strong> 16
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<strong>Explanation:</strong> Suppose you arrive at time 16.
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At time 10, the first bus departs with the 0<sup>th</sup> passenger.
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At time 20, the second bus departs with you and the 1<sup>st</sup> passenger.
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Note that you may not arrive at the same time as another passenger, which is why you must arrive before the 1<sup>st</sup> passenger to catch the bus.</pre>
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<p><strong class="example">Example 2:</strong></p>
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<pre>
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<strong>Input:</strong> buses = [20,30,10], passengers = [19,13,26,4,25,11,21], capacity = 2
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<strong>Output:</strong> 20
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<strong>Explanation:</strong> Suppose you arrive at time 20.
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At time 10, the first bus departs with the 3<sup>rd</sup> passenger.
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At time 20, the second bus departs with the 5<sup>th</sup> and 1<sup>st</sup> passengers.
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At time 30, the third bus departs with the 0<sup>th</sup> passenger and you.
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Notice if you had arrived any later, then the 6<sup>th</sup> passenger would have taken your seat on the third bus.</pre>
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<p> </p>
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<p><strong>Constraints:</strong></p>
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<ul>
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<li><code>n == buses.length</code></li>
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<li><code>m == passengers.length</code></li>
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<li><code>1 <= n, m, capacity <= 10<sup>5</sup></code></li>
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<li><code>2 <= buses[i], passengers[i] <= 10<sup>9</sup></code></li>
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<li>Each element in <code>buses</code> is <strong>unique</strong>.</li>
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<li>Each element in <code>passengers</code> is <strong>unique</strong>.</li>
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</ul>
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