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Read N Characters Given read4 II - Call Multiple Times

Solution Explanation

This problem involves implementing a read function that reads n characters from a file using a given read4 function, which reads only four characters at a time. The challenge is that read can be called multiple times, and we need to efficiently manage the buffer between calls.

The solution uses a buffer (buf4) to store the characters read by read4. The read function keeps track of the current index (i) within buf4 and the number of characters read in the current read4 call (size).

Algorithm:

  1. Initialization: The solution initializes buf4, i (current index in buf4), and size (number of characters read by the last read4 call).

  2. Main Loop: The while j < n loop continues until n characters have been read or the end of the file is reached.

  3. Check Buffer: Inside the loop, if i == size checks if the internal buffer buf4 is empty.

  4. Read from File: If buf4 is empty, read4(buf4) is called to read characters from the file. The return value (size) indicates the number of characters read. If size is 0, the end of the file is reached, and the loop breaks.

  5. Copy to Output Buffer: The while j < n and i < size loop copies characters from buf4 to the output buffer buf until either n characters have been copied or buf4 is exhausted.

  6. Return: The function returns j, which represents the total number of characters read and copied to buf.

Time Complexity:

The time complexity is O(n), where n is the number of characters to read. The algorithm iterates through the input at most once. The read4 function is called at most n/4 times in the worst case.

Space Complexity:

The space complexity is O(1). The solution uses a fixed-size buffer (buf4) of size 4, irrespective of the input size n.

Code Explanation (Python):

class Solution:
    def __init__(self):
        self.buf4 = [None] * 4  # Internal buffer for read4
        self.i = 0             # Index into buf4
        self.size = 0           # Number of chars in buf4
 
    def read(self, buf, n):
        j = 0  # Index into output buffer buf
        while j < n:  # Loop until n chars read or EOF
            if self.i == self.size:  # If internal buffer is empty
                self.size = read4(self.buf4)  # Read from file
                self.i = 0  # Reset index
                if self.size == 0:  # EOF
                    break
            while j < n and self.i < self.size:  # Copy from internal to output buffer
                buf[j] = self.buf4[self.i]
                self.i += 1
                j += 1
        return j

The Java, C++, and Go code implementations follow the same logic and algorithm, differing only in syntax and data structure specifics. They all achieve the same O(n) time and O(1) space complexity.