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There are 8 cubes in a 23 2^{3} 23 Rubik's Cube or Pocket Cube and there are 26 cubes in a 33 3^{3} 33 Rubik's Cube. K is the number of cubes in a 25113 2511^{3} 25113 Rubik's Cube. What are the last 3 digits of K?
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