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How many multiplications to compute x²³ modulo 2^W (W = word size)?
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How many multiplications to compute x²³
modulo 2^W (W = word size)?
Analyze the how many multiplications to compute x²³ modulo 2^w (w = word size)?.
Examples
Example 1
Input:
"test_input_1"
Output:
"output_1"
Example 2
Input:
"test_input_2"
Output:
"output_2"
Hints
Hint 1
Consider using exponentiation by squaring to minimize the number of multiplications.
Hint 2
Recall that modulo operations can be applied at each step to keep intermediate results manageable.
Hint 3
Explore the binary representation of 23 to optimize the exponentiation process further.
How many multiplications to compute x²³ modulo 2^W (W = word size)?
Analyze the how many multiplications to compute x²³ modulo 2^w (w = word size)?.