mirror of
https://github.com/krahets/hello-algo.git
synced 2025-11-02 12:58:42 +08:00
Bug fixes and improvements (#1380)
* preorder, inorder, postorder -> pre-order, in-order, post-order * Bug fixes * Bug fixes * Update what_is_dsa.md * Sync zh and zh-hant versions * Sync zh and zh-hant versions. * Update performance_evaluation.md and time_complexity.md * Add @khoaxuantu to the landing page. * Sync zh and zh-hant versions * Add @ khoaxuantu to the landing page of zh-hant and en versions.
This commit is contained in:
@ -0,0 +1,61 @@
|
||||
=begin
|
||||
File: unbounded_knapsack.rb
|
||||
Created Time: 2024-05-29
|
||||
Author: Xuan Khoa Tu Nguyen (ngxktuzkai2000@gmail.com)
|
||||
=end
|
||||
|
||||
### 完全背包:動態規劃 ###
|
||||
def unbounded_knapsack_dp(wgt, val, cap)
|
||||
n = wgt.length
|
||||
# 初始化 dp 表
|
||||
dp = Array.new(n + 1) { Array.new(cap + 1, 0) }
|
||||
# 狀態轉移
|
||||
for i in 1...(n + 1)
|
||||
for c in 1...(cap + 1)
|
||||
if wgt[i - 1] > c
|
||||
# 若超過背包容量,則不選物品 i
|
||||
dp[i][c] = dp[i - 1][c]
|
||||
else
|
||||
# 不選和選物品 i 這兩種方案的較大值
|
||||
dp[i][c] = [dp[i - 1][c], dp[i][c - wgt[i - 1]] + val[i - 1]].max
|
||||
end
|
||||
end
|
||||
end
|
||||
dp[n][cap]
|
||||
end
|
||||
|
||||
### 完全背包:空間最佳化後的動態規劃 ##3
|
||||
def unbounded_knapsack_dp_comp(wgt, val, cap)
|
||||
n = wgt.length
|
||||
# 初始化 dp 表
|
||||
dp = Array.new(cap + 1, 0)
|
||||
# 狀態轉移
|
||||
for i in 1...(n + 1)
|
||||
# 正序走訪
|
||||
for c in 1...(cap + 1)
|
||||
if wgt[i -1] > c
|
||||
# 若超過背包容量,則不選物品 i
|
||||
dp[c] = dp[c]
|
||||
else
|
||||
# 不選和選物品 i 這兩種方案的較大值
|
||||
dp[c] = [dp[c], dp[c - wgt[i - 1]] + val[i - 1]].max
|
||||
end
|
||||
end
|
||||
end
|
||||
dp[cap]
|
||||
end
|
||||
|
||||
### Driver Code ###
|
||||
if __FILE__ == $0
|
||||
wgt = [1, 2, 3]
|
||||
val = [5, 11, 15]
|
||||
cap = 4
|
||||
|
||||
# 動態規劃
|
||||
res = unbounded_knapsack_dp(wgt, val, cap)
|
||||
puts "不超過背包容量的最大物品價值為 #{res}"
|
||||
|
||||
# 空間最佳化後的動態規劃
|
||||
res = unbounded_knapsack_dp_comp(wgt, val, cap)
|
||||
puts "不超過背包容量的最大物品價值為 #{res}"
|
||||
end
|
||||
Reference in New Issue
Block a user