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90 changes: 84 additions & 6 deletions hash_practice/exercises.py
Original file line number Diff line number Diff line change
@@ -1,20 +1,98 @@

def create_freq_map(word):
freq_map = {}
for char in word:
if char in freq_map:
freq_map[char] += 1
else:
freq_map[char] = 1
# convert to frozenset because it's hashable whereas dicts and sets are not
return freq_map

def grouped_anagrams(strings):
""" 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^2)

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When doing time complexity calculations, you can't really reuse the same variables to represent different factors. For example, here, you're using n for both the number of strings in the list, and the number of characters in the strings, which are independent factors. So this would more properly be O(n*m) where n is the number of strings in the list, and m is the number of characters in the strings.

However, we can also make an simplifying assumption since we know our input is a list of English words. Words in English don't get too long (5 letters per word on average), so the effect of the number of characters in the word is pretty bounded, especially compared to the number of words in the list (which could easily be hundreds or thousands of words). As such, we can just say the time complexity is O(n).

Space Complexity: O(n)
Ideas
Have freq maps as keys and words as values in a list
dict = {
{"a":1, "t":1, "e":1}: ["ate", "eat", "tea"]
}
-> would need 3 hash tables: 1 for hash of hash tables of frequences, 2 dict has keys?
-> or create this dict example without creating another hash
PSEUDO
- Create empty dict
- Loop through each word in words and create freq map (maybe use a helper)
- if freq map not in dict, append to dict with freq map as key and word as value
- if freq map in dict, append word to value
- return dict values as list
"""
pass
word_dict = {}
for word in strings:
current_freq_map = frozenset(create_freq_map(word))
if current_freq_map in word_dict:
word_dict[current_freq_map] += [word]
else:
word_dict[current_freq_map] = [word]

return list(word_dict.values())

def top_k_frequent_elements(nums, k):
""" 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: ?
Time Complexity: O(n log n)
Space Complexity: O(n)
Ideas
Create freq map where keys are nums and value is the frequency
How to return the number with 1st, 2nd highest freq if k =2
what if k=3
PSEUDO
-Create freq map
freq_map = {
1:1,
2:3,
3:2
}
- have a max_count for max value ->
- could also maybe use slicing
-create empty list
- for i in range(k), append key that has max count
- decrement max_count
with duplicate max values:
- create max_list instead of a variable
- sort list
- slice list
- iterate through freq map and add values that match the sliced list elements to a set
to avoid duplicates
"""
pass

freq_map = {}
for num in nums:
if num in freq_map:
freq_map[num] += 1
else:
freq_map[num] = 1

freq_values = list(freq_map.values())
# sorts values of freq map in descending order
freq_values.sort(reverse=True)
# k number of max frequencies. Assumes if k = 2, and there are more than one with the 2nd highest frequency
# ex output = [1,1,2,2,3,3,3]
# 1 and 2 are tied so they are both added to max_values and the output will have 3 elements in a list. output = [1,2,3]

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In this case, we've generally been expecting that you drop down to k even if there are ties, but this is a perfectly fine assumption to make, so I'm not going to ding you for it.

max_values = freq_values[:k]

answer = set()
for key, value in freq_map.items():
for max in max_values:
if value == max:
answer.add(key)
return list(answer)

def valid_sudoku(table):
""" This method will return the true if the table is still
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