Design a sleek and modern logo for a puzzle game that incorporates colorful, interlocking puzzle pieces in a dynamic and playful arrangement. Use a vibrant color palette with shades of blue, yellow, red, and green to convey a sense of fun and creativity. The puzzle pieces should have a glossy finish to give them a polished, stylish look. Consider integrating subtle geometric shapes or patterns in the background to enhance the logo's depth and visual interest, while ensuring the overall design remains simple and iconic, with no text elements included.

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Design a sleek and modern logo for a puzzle game that incorporates colorful, interlocking puzzle pieces in a dynamic and playful arrangement. Use a vibrant color palette with shades of blue, yellow, red, and green to convey a sense of fun and creativity. The puzzle pieces should have a glossy finish to give them a polished, stylish look. Consider integrating subtle geometric shapes or patterns in the background to enhance the logo's depth and visual interest, while ensuring the overall design remains simple and iconic, with no text elements included.