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38 changes: 15 additions & 23 deletions Sprint-2/improve_with_precomputing/common_prefix/common_prefix.py
Original file line number Diff line number Diff line change
@@ -1,24 +1,16 @@
from typing import List


def find_longest_common_prefix(strings: List[str]):
"""
find_longest_common_prefix returns the longest string common at the start of any two strings in the passed list.

In the event that an empty list, a list containing one string, or a list of strings with no common prefixes is passed, the empty string will be returned.
"""
longest = ""
for string_index, string in enumerate(strings):
for other_string in strings[string_index+1:]:
common = find_common_prefix(string, other_string)
if len(common) > len(longest):
longest = common
return longest


def find_common_prefix(left: str, right: str) -> str:
min_length = min(len(left), len(right))
for i in range(min_length):
if left[i] != right[i]:
return left[:i]
return left[:min_length]
def find_longest_common_prefix(strings: List[str]) -> str:
if len(strings) < 2:
return ""
#Find shortest string limit for prefix
min_len = min(len(s) for s in strings)
if min_len == 0:
return ""

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No, this is wrong. If the input is ["","string_one","string_two"] we want to return "string_" whereas you'll return ""

#Compare character by character across all strings
for i in range(min_len):
char_set = set(s[i] for s in strings)
if len(char_set) > 1: #mismatch found
return strings[0][:i]
return strings[0][:min_len]
#Originally Compares every pair O(n² * m)
#now compare column wise across all strings O(n * m)
27 changes: 14 additions & 13 deletions Sprint-2/improve_with_precomputing/count_letters/count_letters.py
Original file line number Diff line number Diff line change
@@ -1,14 +1,15 @@
from collections import Counter
def count_letters(s: str) -> int:
"""
count_letters returns the number of letters which only occur in upper case in the passed string.
"""
only_upper = set()
for letter in s:
if is_upper_case(letter):
if letter.lower() not in s:
only_upper.add(letter)
return len(only_upper)


def is_upper_case(letter: str) -> bool:
return letter == letter.upper()
#Returns the number of letters which only occur in uppercase in the passed string
letters = Counter(s) #count occurrences of each character

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This works, but is doing more work than is needed. We don't care if T occurs 3 times or 1, if t doesn't. What could you use instead of a Counter that would skip the counting process but still remove duplicates?

only_upper = 0
for letter in letters:
if letter.isupper():
if letter.lower() not in letters:
only_upper += 1
return only_upper
#The first implementation was O(n² * m) in the worst case comparing every pair of strings character by character.
# Now,
#Counter scans the string once O(n)
#Checking letter.lower() in letters O(1) per letter
#Total time O(n + u) where u is the number of unique letters
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