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60 lines
1.9 KiB
Python
60 lines
1.9 KiB
Python
"""
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Program to list all the ways a target string can be
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constructed from the given list of substrings
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"""
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from __future__ import annotations
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def all_construct(target: str, word_bank: list[str] | None = None) -> list[list[str]]:
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"""
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returns the list containing all the possible
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combinations a string(target) can be constructed from
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the given list of substrings(word_bank)
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>>> all_construct("hello", ["he", "l", "o"])
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[['he', 'l', 'l', 'o']]
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>>> all_construct("purple",["purp","p","ur","le","purpl"])
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[['purp', 'le'], ['p', 'ur', 'p', 'le']]
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"""
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word_bank = word_bank or []
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# create a table
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table_size: int = len(target) + 1
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table: list[list[list[str]]] = []
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for _ in range(table_size):
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table.append([])
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# seed value
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table[0] = [[]] # because empty string has empty combination
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# iterate through the indices
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for i in range(table_size):
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# condition
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if table[i] != []:
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for word in word_bank:
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# slice condition
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if target[i : i + len(word)] == word:
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new_combinations: list[list[str]] = [
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[word, *way] for way in table[i]
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]
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# adds the word to every combination the current position holds
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# now,push that combination to the table[i+len(word)]
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table[i + len(word)] += new_combinations
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# combinations are in reverse order so reverse for better output
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for combination in table[len(target)]:
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combination.reverse()
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return table[len(target)]
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if __name__ == "__main__":
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print(all_construct("jwajalapa", ["jwa", "j", "w", "a", "la", "lapa"]))
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print(all_construct("rajamati", ["s", "raj", "amat", "raja", "ma", "i", "t"]))
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print(
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all_construct(
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"hexagonosaurus",
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["h", "ex", "hex", "ag", "ago", "ru", "auru", "rus", "go", "no", "o", "s"],
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)
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)
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