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GlobalMinima[Sqrt[t^2 + (1 - t)^2 + (-2)^2] + Sqrt[(2 - t)^2 + (3 - (1 - t))^2 + 0^2], {t}]
GlobalMinima[Sqrt[t^2 + (1 - t)^2 + (-2)^2] + Sqrt[(2 - t)^2 + (3 - (1 - t))^2 + 0^2], {t}]
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