Prompt: Create a flat vector, illustrative-style lettermark logo design for an NGO named \"Saanchi Foundation \u0026 Charitable Trust\". Incorporate the initials \"S\" and \"F\" in a unique, intertwined way, where the \"S\" forms the base of the design and the \"F\" flows upwards. Use a bold, sans-serif font for the letters and choose a color scheme of deep purple and gold to convey elegance, wisdom, and prosperity.