Landscaping
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Farmer John is building a nicely-landscaped garden, and needs to move a large amount of dirt in the process.
The garden consists of a sequence of N flowerbeds (1 <= N <= 100), where flowerbed i initially contains A_i units of dirt. Farmer John would like to re-landscape the garden so that each flowerbed i instead contains B_i units of dirt. The A_i's and B_i's are all integers in the range 0..10.
To landscape the garden, Farmer John has several options: he can purchase one unit of dirt and place it in a flowerbed of his choice for \(X. He\ can\ remove\ one\ unit\ of\ dirt\ from\ a\ flowerbed\ of\ his\ choice\ and\ have\ it\ shipped\ away\ for \)Y. He can also transport one unit of dirt from flowerbed i to flowerbed j at a cost of $Z times |i-j|. Please compute the minimum total cost for Farmer John to complete his landscaping project.
Line 1: Space-separated integers N, X, Y, and Z (0 <= X, Y, Z <= 1000).
Lines 2..1+N: Line i+1 contains the space-separated integers A_i and B_i.
A single integer giving the minimum cost for Farmer John's landscaping project.
landscape.inlandscape.out4 100 200 1
1 4
2 3
3 2
4 0210Input details: There are 4 flowerbeds in a row, initially with 1, 2, 3, and 4 units of dirt. Farmer John wishes to transform them so they have 4, 3, 2, and 0 units of dirt, respectively. The costs for adding, removing, and transporting dirt are 100, 200, and 1.
Output details: One unit of dirt must be removed (from flowerbed #4), at a cost of 200. The remaining dirt can be moved at a cost of 10.
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Landscaping
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Landscaping