From e676e283eaf7170d38f802d12b982a7129598989 Mon Sep 17 00:00:00 2001
From: sidaksohi <31377210+sidaksohi@users.noreply.github.com>
Date: Sun, 22 Aug 2021 15:45:08 -0700
Subject: [PATCH] Add array solutions with descriptions

---
 data_structures/arrays/3sum.rb                | 80 +++++++++++++++++++
 .../arrays/maximum_product_subarray.rb        | 44 ++++++++++
 data_structures/arrays/maximum_subarray.rb    | 56 +++++++++++++
 3 files changed, 180 insertions(+)
 create mode 100644 data_structures/arrays/3sum.rb
 create mode 100644 data_structures/arrays/maximum_product_subarray.rb
 create mode 100644 data_structures/arrays/maximum_subarray.rb

diff --git a/data_structures/arrays/3sum.rb b/data_structures/arrays/3sum.rb
new file mode 100644
index 0000000..1e4bf80
--- /dev/null
+++ b/data_structures/arrays/3sum.rb
@@ -0,0 +1,80 @@
+#Given an integer array nums, return all the triplets [nums[i], nums[j], nums[k]] ..
+#.. such that i != j, i != k, and j != k, and nums[i] + nums[j] + nums[k] == 0.
+#Notice that the solution set must not contain duplicate triplets.
+
+#Example 1:
+#Input: nums = [-1,0,1,2,-1,-4]
+#Output: [[-1,-1,2],[-1,0,1]]
+
+#Example 2:
+#Input: nums = []
+#Output: []
+
+#Example 3:
+#Input: nums = [0]
+#Output: []
+
+#Constraints:
+#0 <= nums.length <= 3000
+#-105 <= nums[i] <= 105
+
+
+
+
+#Two Pointer Approach - O(n) Time / O(1) Space
+#Return edge cases.
+#Sort nums, and init ans array
+#For each |val, index| in nums:
+#if the current value is the same as last, then go to next iteration
+#init left and right pointers for two pointer search of the two sum in remaining elements of array
+#while left < right:
+#find current sum
+#if sum > 0, right -= 1
+#if sum < 0, left += 1
+#if it's 0, then add the values to the answer array, and set the left pointer to the next valid value ..
+#.. (left += 1 while nums[left] == nums[left - 1] && left < right)
+#Return ans[]      
+
+
+# @param {Integer[]} nums
+# @return {Integer[][]}
+def three_sum(nums)
+    #return if length too short
+    return [] if nums.length < 3
+    
+    #sort nums, init ans array
+    nums, ans = nums.sort, []
+    
+    #loop through nums
+    nums.each_with_index do |val, ind|
+      #if the previous value is the same as current, then skip this iteration as it would create duplicates
+      next if ind > 0 && nums[ind] == nums[ind - 1]
+      
+      #init & run two pointer search
+      left, right = ind + 1, nums.length - 1
+      
+      while left < right
+        #find current sum
+        sum = val + nums[left] + nums[right]
+        
+        #decrease sum if it's too great, increase sum if it's too low
+        if sum > 0
+          right -= 1
+        elsif sum < 0
+          left += 1
+        #if it's zero, then add the answer to array and set left pointer to next valid value
+        else
+          ans << [val, nums[left], nums[right]]
+            
+          left += 1
+            
+          while nums[left] == nums[left - 1] && left < right
+            left += 1
+          end
+        end
+      end
+    end
+    
+    #return answer
+    ans
+end
\ No newline at end of file
diff --git a/data_structures/arrays/maximum_product_subarray.rb b/data_structures/arrays/maximum_product_subarray.rb
new file mode 100644
index 0000000..da458bc
--- /dev/null
+++ b/data_structures/arrays/maximum_product_subarray.rb
@@ -0,0 +1,44 @@
+#Given an integer array nums, find a contiguous non-empty subarray within the array that has the largest product, and return the product.
+#It is guaranteed that the answer will fit in a 32-bit integer.
+#A subarray is a contiguous subsequence of the array.
+
+#Example 1:
+#Input: nums = [2,3,-2,4]
+#Output: 6
+#Explanation: [2,3] has the largest product 6.
+
+#Example 2:
+#Input: nums = [-2,0,-1]
+#Output: 0
+#Explanation: The result cannot be 2, because [-2,-1] is not a subarray.
+
+#Constraints:
+#1 <= nums.length <= 2 * 104
+#-10 <= nums[i] <= 10
+#The product of any prefix or suffix of nums is guaranteed to fit in a 32-bit integer.
+
+
+
+
+#Dynamic Programming Approach (Kadane's Algorithm) - O(n) Time / O(1) Space
+#Track both current minimum and current maximum (Due to possibility of multiple negative numbers)
+#Answer is the highest value of current maximum
+
+
+# @param {Integer[]} nums
+# @return {Integer}
+def max_product(nums)
+    return nums[0] if nums.length == 1
+    
+    cur_min, cur_max, max = 1, 1, -11
+    
+    nums.each do |val|
+      tmp_cur_max = cur_max
+      cur_max = [val, val*cur_max, val*cur_min].max
+      cur_min = [val, val*tmp_cur_max, val*cur_min].min
+      
+      max = [max, cur_max].max
+    end
+    
+    max
+end
\ No newline at end of file
diff --git a/data_structures/arrays/maximum_subarray.rb b/data_structures/arrays/maximum_subarray.rb
new file mode 100644
index 0000000..5c85167
--- /dev/null
+++ b/data_structures/arrays/maximum_subarray.rb
@@ -0,0 +1,56 @@
+#Given an integer array nums, find the contiguous subarray (containing at least one number) which has the largest sum and return its sum.
+#A subarray is a contiguous part of an array.
+
+#Example 1:
+#Input: nums = [-2,1,-3,4,-1,2,1,-5,4]
+#Output: 6
+#Explanation: [4,-1,2,1] has the largest sum = 6.
+
+#Example 2:
+#Input: nums = [1]
+#Output: 1
+
+#Example 3:
+#Input: nums = [5,4,-1,7,8]
+#Output: 23
+
+#Constraints:
+#1 <= nums.length <= 3 * 104
+#-105 <= nums[i] <= 105
+
+
+
+
+#Sliding Window Approach - O(n) Time / O(1) Space
+#Init max_sum as first element
+#Return first element if the array length is 1
+#Init current_sum as 0
+#Iterate through the array:
+#if current_sum < 0, then reset it to 0 (to eliminate any negative prefixes)
+#current_sum += num
+#max_sum = current_sum if current_sum is greater than max_sum
+#Return max_sum         
+
+
+# @param {Integer[]} nums
+# @return {Integer}
+def max_sub_array(nums)
+    #initialize max sum to first number
+    max_sum = nums[0]
+    
+    #return first number if array length is 1 
+    return max_sum if nums.length == 1
+    
+    #init current sum to 0
+    current_sum = 0
+    
+    #iterate through array, reset current_sum to 0 if it ever goes below 0, track max_sum with highest current_sum
+    nums.each do |num|
+      current_sum = 0 if current_sum < 0
+      current_sum += num
+      max_sum = [max_sum, current_sum].max
+    end
+    
+    #return answer
+    max_sum
+end
\ No newline at end of file