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47 changes: 27 additions & 20 deletions backtracking/match_word_pattern.py
Original file line number Diff line number Diff line change
Expand Up @@ -12,21 +12,26 @@ def match_word_pattern(pattern: str, input_string: str) -> bool:
>>> match_word_pattern("xyx", "PythonRubyPython")
True

>>> match_word_pattern("GG", "PythonJavaPython")
False
"""
>>> match_word_pattern("", "")
True

def backtrack(pattern_index: int, str_index: int) -> bool:
"""
>>> backtrack(0, 0)
True
>>> match_word_pattern("a", "abc")
True

>>> backtrack(0, 1)
True
>>> match_word_pattern("ab", "abab")
True

>>> match_word_pattern("ab", "a b")
True

>>> backtrack(0, 4)
False
"""
>>> match_word_pattern("abc", "xyzpqrstu")
True

>>> match_word_pattern("abcd", "xyzaaabcd")
True
"""

def backtrack(pattern_index: int, str_index: int) -> bool:
if pattern_index == len(pattern) and str_index == len(input_string):
return True
if pattern_index == len(pattern) or str_index == len(input_string):
Expand All @@ -40,14 +45,16 @@ def backtrack(pattern_index: int, str_index: int) -> bool:
return False
for end in range(str_index + 1, len(input_string) + 1):
substr = input_string[str_index:end]
if substr in str_map:
continue
pattern_map[char] = substr
str_map[substr] = char
if backtrack(pattern_index + 1, end):
return True
del pattern_map[char]
del str_map[substr]
if substr in str_map and str_map[substr] == char:
if backtrack(pattern_index + 1, end):
return True
elif substr not in str_map.values():
pattern_map[char] = substr
str_map[substr] = char
if backtrack(pattern_index + 1, end):
return True
del pattern_map[char]
del str_map[substr]
return False

pattern_map: dict[str, str] = {}
Expand Down