Design a modern and stylish logo for a puzzle game featuring interlocking puzzle pieces in vibrant colors. Incorporate a slight 3D effect to give depth, with shadows and highlights that add dimension. The design should evoke creativity and fun, using a playful yet sophisticated aesthetic. Include abstract shapes or patterns within the puzzle pieces to symbolize different levels of challenges, while maintaining a clean and sleek overall look. Aim for a balance between simplicity and intricacy that captures the essence of problem-solving and entertainment.

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Design a modern and stylish logo for a puzzle game featuring interlocking puzzle pieces in vibrant colors. Incorporate a slight 3D effect to give depth, with shadows and highlights that add dimension. The design should evoke creativity and fun, using a playful yet sophisticated aesthetic. Include abstract shapes or patterns within the puzzle pieces to symbolize different levels of challenges, while maintaining a clean and sleek overall look. Aim for a balance between simplicity and intricacy that captures the essence of problem-solving and entertainment.