Design a modern and sleek logo for a puzzle game that incorporates dynamic, interlocking puzzle pieces in vibrant colors. The pieces should vary in size and shape, symbolizing complexity and challenge, while seamlessly fitting together to create a stylized, abstract representation of a completed puzzle. The background should be minimalistic to enhance the elegance of the puzzle pieces, and a subtle shadow or gradient effect can be included to add depth and sophistication. The overall design should convey a sense of fun, intelligence, and engagement, appealing to a wide audience of puzzle enthusiasts.

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Design a modern and sleek logo for a puzzle game that incorporates dynamic, interlocking puzzle pieces in vibrant colors. The pieces should vary in size and shape, symbolizing complexity and challenge, while seamlessly fitting together to create a stylized, abstract representation of a completed puzzle. The background should be minimalistic to enhance the elegance of the puzzle pieces, and a subtle shadow or gradient effect can be included to add depth and sophistication. The overall design should convey a sense of fun, intelligence, and engagement, appealing to a wide audience of puzzle enthusiasts.