diff --git a/lib/exercises.rb b/lib/exercises.rb
index e1b3850..fcf5b37 100644
--- a/lib/exercises.rb
+++ b/lib/exercises.rb
@@ -1,26 +1,84 @@
-
 # This method will return an array of arrays.
 # Each subarray will have strings which are anagrams of each other
-# Time Complexity: ?
-# Space Complexity: ?
+# Time Complexity: O(n*mlog(m)) where n is the number of words and m is
+# is the size of the longest word in string O(mlogm) is the result of the sorting
+# Space Complexity: n * m (worst case has to create a new array/key for each string and takes m space to sort it)
 
 def grouped_anagrams(strings)
-  raise NotImplementedError, "Method hasn't been implemented yet!"
+  result_array = []
+  anagram_hash = {}
+
+  if strings.length == 0 || strings.nil?
+    return result_array
+  end
+  # iterate through strings to build a hash table
+  # the hash table where key is the sorted string and value is the array of group anagrams
+  strings.each_with_index do |string, index|
+    # split strings into chars
+    # sort chars and rejoin to create stored string
+    sorted_string = string.chars.sort.join
+    if anagram_hash.key?(sorted_string)
+      # if sorted string is already in the array
+      # add word to the group anagram array
+      anagram_hash[sorted_string].push(strings[index])
+    else
+      # otherwise, set anagram hash value to a new empty array
+      # to account for potential anagrams
+      anagram_hash[sorted_string] = [strings[index]]
+    end
+  end
+  # iterate through anagram hash and return anagram array
+  anagram_hash.values.each do |anagrams|
+    result_array.push(anagrams)
+  end
+  return result_array
 end
 
 # This method will return the k most common elements
 # in the case of a tie it will select the first occuring element.
-# Time Complexity: ?
-# Space Complexity: ?
+# Build a requency hash table, sort by most to least
+# Return only the nums = k
+# Time Complexity: O(n) to build the frequency table, O(nlogn) to sort the frequency table 
+# Space Complexity: O(n)
+
 def top_k_frequent_elements(list, k)
-  raise NotImplementedError, "Method hasn't been implemented yet!"
+  # frequency hash table with key = num, value = counts of num
+  num_freq = {}
+  result = []
+
+  return [] if list.empty?
+
+  list.each do |element|
+    # increment value if key already exits
+    if num_freq.key?(element)
+      num_freq[element] += 1
+    else
+      # set value to 1 if key not yet exits
+      num_freq[element] = 1
+    end
+  end
+
+  # return a sorted by value descending hash 
+  freq_list = num_freq.sort_by {|k, v| -v }.to_h
+  puts freq_list
+
+
+  freq_list.each do |num, frequency|
+    result.push(num)
+    if result.length >= k
+      break
+    end
+  end
+
+  return result
+
 end
 
 
 # This method will return the true if the table is still
 #   a valid sudoku table.
 #   Each element can either be a ".", or a digit 1-9
-#   The same digit cannot appear twice or more in the same 
+#   The same digit cannot appear twice or more in the same
 #   row, column or 3x3 subgrid
 # Time Complexity: ?
 # Space Complexity: ?