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∑MathIntermediate

Linear Diophantine Equations

A linear Diophantine equation ax + by = c has integer solutions if and only if gcd(a, b) divides c.

#linear diophantine#extended euclidean algorithm#gcd+12
∑MathIntermediate

Extended Euclidean Algorithm

The Extended Euclidean Algorithm finds integers x and y such that ax + by = gcd(a, b) while also computing gcd(a, b).

#extended euclidean algorithm
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#bezout coefficients
#bezout coefficients
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