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64 lines
3.4 KiB
HTML
64 lines
3.4 KiB
HTML
<p data-end="365" data-start="23">You are given an integer array <code data-end="62" data-start="54">weight</code> of length <code data-end="76" data-start="73">n</code>, representing the weights of <code data-end="109" data-start="106">n</code> parcels arranged in a straight line. A <strong data-end="161" data-start="149">shipment</strong> is defined as a contiguous subarray of parcels. A shipment is considered <strong data-end="247" data-start="235">balanced</strong> if the weight of the <strong data-end="284" data-start="269">last parcel</strong> is <strong>strictly less</strong> than the <strong data-end="329" data-start="311">maximum weight</strong> among all parcels in that shipment.</p>
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<p data-end="528" data-start="371">Select a set of <strong data-end="406" data-start="387">non-overlapping</strong>, contiguous, balanced shipments such that <strong data-end="496" data-start="449">each parcel appears in at most one shipment</strong> (parcels may remain unshipped).</p>
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<p data-end="587" data-start="507">Return the <strong data-end="545" data-start="518">maximum possible number</strong> of balanced shipments that can be formed.</p>
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<p> </p>
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<p><strong class="example">Example 1:</strong></p>
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<div class="example-block">
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<p><strong>Input:</strong> <span class="example-io">weight = [2,5,1,4,3]</span></p>
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<p><strong>Output:</strong> <span class="example-io">2</span></p>
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<p><strong>Explanation:</strong></p>
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<p data-end="136" data-start="62">We can form the maximum of two balanced shipments as follows:</p>
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<ul>
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<li data-end="163" data-start="140">Shipment 1: <code>[2, 5, 1]</code>
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<ul>
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<li data-end="195" data-start="168">Maximum parcel weight = 5</li>
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<li data-end="275" data-start="200">Last parcel weight = 1, which is strictly less than 5. Thus, it's balanced.</li>
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</ul>
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</li>
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<li data-end="299" data-start="279">Shipment 2: <code>[4, 3]</code>
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<ul>
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<li data-end="331" data-start="304">Maximum parcel weight = 4</li>
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<li data-end="411" data-start="336">Last parcel weight = 3, which is strictly less than 4. Thus, it's balanced.</li>
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</ul>
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</li>
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</ul>
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<p data-end="519" data-start="413">It is impossible to partition the parcels to achieve more than two balanced shipments, so the answer is 2.</p>
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</div>
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<p><strong class="example">Example 2:</strong></p>
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<div class="example-block">
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<p><strong>Input:</strong> <span class="example-io">weight = [4,4]</span></p>
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<p><strong>Output:</strong> <span class="example-io">0</span></p>
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<p><strong>Explanation:</strong></p>
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<p data-end="635" data-start="574">No balanced shipment can be formed in this case:</p>
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<ul>
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<li data-end="772" data-start="639">A shipment <code>[4, 4]</code> has maximum weight 4 and the last parcel's weight is also 4, which is not strictly less. Thus, it's not balanced.</li>
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<li data-end="885" data-start="775">Single-parcel shipments <code>[4]</code> have the last parcel weight equal to the maximum parcel weight, thus not balanced.</li>
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</ul>
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<p data-end="958" data-is-last-node="" data-is-only-node="" data-start="887">As there is no way to form even one balanced shipment, the answer is 0.</p>
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</div>
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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 data-end="8706" data-start="8671"><code data-end="8704" data-start="8671">2 <= n <= 10<sup>5</sup></code></li>
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<li data-end="8733" data-start="8709"><code data-end="8733" data-start="8709">1 <= weight[i] <= 10<sup>9</sup></code></li>
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</ul>
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