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- // C++ program to do modular division
- #include<iostream>
- using namespace std;
- // C function for extended Euclidean Algorithm
- int gcdExtended(int a, int b, int *x, int *y);
- // Function to find modulo inverse of b. It returns
- // -1 when inverse doesn't
- int modInverse(int b, int m)
- {
- int x, y; // used in extended GCD algorithm
- int g = gcdExtended(b, m, &x, &y);
- // Return -1 if b and m are not co-prime
- if (g != 1)
- return -1;
- // m is added to handle negative x
- return (x%m + m) % m;
- }
- // Function to compute a/b under modlo m
- void modDivide(int a, int b, int m)
- {
- a = a % m;
- int inv = modInverse(b, m);
- if (inv == -1)
- cout << "Division not defined";
- else
- cout << "Result of division is " << (inv * a) % m;
- }
- // C function for extended Euclidean Algorithm (used to
- // find modular inverse.
- int gcdExtended(int a, int b, int *x, int *y)
- {
- // Base Case
- if (a == 0)
- {
- *x = 0, *y = 1;
- return b;
- }
- int x1, y1; // To store results of recursive call
- int gcd = gcdExtended(b%a, a, &x1, &y1);
- // Update x and y using results of recursive
- // call
- *x = y1 - (b/a) * x1;
- *y = x1;
- return gcd;
- }
- // Driver Program
- int main()
- {
- int a = 8, b = 3, m = 5;
- modDivide(a, b, m);
- return 0;
- }
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