Design a vibrant and modern logo for a puzzle game that incorporates interconnected puzzle pieces in a dynamic and playful arrangement. Use a bright color palette that includes shades of blue, green, and yellow to evoke a sense of fun and creativity. The puzzle pieces should have a sleek, rounded design, with subtle gradients and shadows to give them depth. Consider adding a subtle background pattern of abstract shapes or lines that hints at a gaming environment, all while ensuring the logo remains clean and stylish. The overall composition should convey a sense of excitement and challenge, appealing to a wide audience of puzzle enthusiasts.

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Design a vibrant and modern logo for a puzzle game that incorporates interconnected puzzle pieces in a dynamic and playful arrangement. Use a bright color palette that includes shades of blue, green, and yellow to evoke a sense of fun and creativity. The puzzle pieces should have a sleek, rounded design, with subtle gradients and shadows to give them depth. Consider adding a subtle background pattern of abstract shapes or lines that hints at a gaming environment, all while ensuring the logo remains clean and stylish. The overall composition should convey a sense of excitement and challenge, appealing to a wide audience of puzzle enthusiasts.