我在Haskell中编写了0-1背包问题.到目前为止,我对于懒惰和普遍性水平感到自豪.
我首先提供了创建和处理惰性2d矩阵的函数.
mkList f = map f [0..]
mkTable f = mkList (\i -> mkList (\j -> f i j))
tableIndex table i j = table !! i !! j
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然后我为一个给定的背包问题制作一个特定的表格
knapsackTable = mkTable f
where f 0 _ = 0
f _ 0 = 0
f i j | ws!!i > j = leaveI
| otherwise = max takeI leaveI
where takeI = tableIndex knapsackTable (i-1) (j-(ws!!i)) + vs!!i
leaveI = tableIndex knapsackTable (i-1) j
-- weight …
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