Design a vibrant and modern logo for a puzzle game, incorporating interlocking puzzle pieces in various colors like blue, green, orange, and purple. The pieces should have a glossy finish to give a futuristic look, and some should be slightly rotated to create a dynamic feel. Include subtle shadows and highlights to add depth, and integrate a playful element, such as an abstract character or shape peeking out from behind the puzzle pieces, enhancing the overall stylish appeal without using any text.

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Design a vibrant and modern logo for a puzzle game, incorporating interlocking puzzle pieces in various colors like blue, green, orange, and purple. The pieces should have a glossy finish to give a futuristic look, and some should be slightly rotated to create a dynamic feel. Include subtle shadows and highlights to add depth, and integrate a playful element, such as an abstract character or shape peeking out from behind the puzzle pieces, enhancing the overall stylish appeal without using any text.