Calculator will blow off (2)

$\large \displaystyle 1^1 \times 2^2 \times 3^3 \times \cdots \times 48^{48} \times 49^{49} \times 50^{50}$

$\,$

$\,$

Find the last four non-zero digits of the number above.

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Try Problem 1 before solving this and try solving Problem 3 after solving this problem.