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45 lines
951 B
Plaintext
45 lines
951 B
Plaintext
// Iterative C++ program for modular exponentiation.
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//The program calculates the value of an integer raised to an integer exponent under modulo an integer.
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#include <iostream>
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// Iterative Function to calculate a raised to exponent b under modulo c in O(log b)
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int power(int a, unsigned int b, int c)
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{
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int ans = 1; // Initialize the answer to be returned
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a = a % c; // Update a if it is more than or
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// equal to c
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if (a == 0)
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{
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return 0; // In case a is divisible by c;
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}
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while (b > 0)
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{
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// If b is odd, multiply a with answer
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if (b & 1)
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{
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ans = (ans*a) % c;
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}
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// b must be even now
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b = b>>1; // b = b/2
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a = (a*a) % c;
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}
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return ans;
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}
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// Main Function
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int main()
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{
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int num1 = 2;
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int num2 = 5;
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int m = 13;
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std::cout << "The value of "<<num1<<" raised to exponent "<<num2<<" under modulo "<<m<<" is " << power(num1, num2, m);
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return 0;
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}
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