abbreviation Algorithm

An algorithm is a step-by-step procedure or a set of instructions designed to perform a specific task or solve a particular problem. It is a fundamental concept in computer science, mathematics, and other problem-solving disciplines. Algorithms can be represented in various forms, such as natural language descriptions, flowcharts, or programming languages. They play a crucial role in the development of software applications, data processing, and automation tasks. By providing a clear and efficient sequence of operations, algorithms enable computers and other devices to execute tasks and make decisions based on the given input data. The design and analysis of algorithms is a crucial aspect of computer science, as the efficiency and effectiveness of a solution often depend on the algorithm's performance. The quality of an algorithm can be measured in terms of its time complexity and space complexity, which represent the amount of time and memory required to complete a task, respectively. By optimizing these factors, developers can create more efficient and faster solutions for various problems. Algorithms are applied in numerous fields, such as artificial intelligence, machine learning, cryptography, and network routing, to name a few. They form the backbone of modern technology and continue to drive innovation across industries.
"""
https://www.hackerrank.com/challenges/abbr/problem
You can perform the following operation on some string, :

1. Capitalize zero or more of 's lowercase letters at some index i
   (i.e., make them uppercase).
2. Delete all of the remaining lowercase letters in .

Example:
a=daBcd and b="ABC"
daBcd -> capitalize a and c(dABCd) -> remove d (ABC)
"""


def abbr(a: str, b: str) -> bool:
    """
    >>> abbr("daBcd", "ABC")
    True
    >>> abbr("dBcd", "ABC")
    False
    """
    n = len(a)
    m = len(b)
    dp = [[False for _ in range(m + 1)] for _ in range(n + 1)]
    dp[0][0] = True
    for i in range(n):
        for j in range(m + 1):
            if dp[i][j]:
                if j < m and a[i].upper() == b[j]:
                    dp[i + 1][j + 1] = True
                if a[i].islower():
                    dp[i + 1][j] = True
    return dp[n][m]


if __name__ == "__main__":
    import doctest

    doctest.testmod()

LANGUAGE:

DARK MODE: