Create a vibrant and playful logo for a puzzle game that features interconnected, colorful puzzle pieces forming a dynamic shape. Incorporate various bright colors like red, blue, green, yellow, and purple to make the logo eye-catching. Include a whimsical element, such as a gradient or shadow effect, to add depth and dimension. The overall design should evoke a sense of fun and challenge, appealing to both kids and adults, while reflecting the theme of problem-solving and creativity.

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Create a vibrant and playful logo for a puzzle game that features interconnected, colorful puzzle pieces forming a dynamic shape. Incorporate various bright colors like red, blue, green, yellow, and purple to make the logo eye-catching. Include a whimsical element, such as a gradient or shadow effect, to add depth and dimension. The overall design should evoke a sense of fun and challenge, appealing to both kids and adults, while reflecting the theme of problem-solving and creativity.