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Find, with proof, the smallest positive integer m 2 for which both of the following statements are true at the same time: The equation 6x

Find, with proof, the smallest positive integer m 2 for which both of the following statements are true at the same time:

The equation 6x + 11y = m has no non-negative solutions.

For any k > m, the equation 6x + 11y = k has at least one non-negative solution

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