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Use Euclid’s algorithm to find integers x, y and d for which 3936x + 1293y =...

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Advance Math

Use Euclid’s algorithm to find integers x, y and d for which3936x + 1293y = d is the smallest possible positive integer. Usingyour answers to this as your starting point, do the followingtasks.

(a)Find an integer s that has the property that s ? d mod 3936and s ? 0 mod 1293.

(b) Find an integer S that has the property that S ? 573 mod3936 and S ? 0 mod 1293.

(c) Find an integer T that has the property that T ? 126 mod1293 and T ? 573 mod 3936.

(d) Is T the only number satisfying those two congruences; ifnot, which other numbers?

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