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=begin
File: binary_search_edge.rb
Created Time: 2024-04-09
Author: Blue Bean (lonnnnnnner@gmail.com)
=end
require_relative './binary_search_insertion'
### 二分搜尋最左一個 target ###
def binary_search_left_edge ( nums , target )
# 等價於查詢 target 的插入點
i = binary_search_insertion ( nums , target )
# 未找到 target ,返回 -1
return - 1 if i == nums . length || nums [ i ] != target
i # 找到 target ,返回索引 i
end
### 二分搜尋最右一個 target ###
def binary_search_right_edge ( nums , target )
# 轉化為查詢最左一個 target + 1
i = binary_search_insertion ( nums , target + 1 )
# j 指向最右一個 target , i 指向首個大於 target 的元素
j = i - 1
# 未找到 target ,返回 -1
return - 1 if j == - 1 || nums [ j ] != target
j # 找到 target ,返回索引 j
end
### Driver Code ###
if __FILE__ == $0
# 包含重複元素的陣列
nums = [ 1 , 3 , 6 , 6 , 6 , 6 , 6 , 10 , 12 , 15 ]
puts " \n 陣列 nums = #{ nums } "
# 二分搜尋左邊界和右邊界
for target in [ 6 , 7 ]
index = binary_search_left_edge ( nums , target )
puts " 最左一個元素 #{ target } 的索引為 #{ index } "
index = binary_search_right_edge ( nums , target )
puts " 最右一個元素 #{ target } 的索引為 #{ index } "
end
end