<image>On Sunday, Li Zhe, Ding Lin, and Zhang Rui went to Daming Park for a spring outing and got separated from each other. Using the central square as the coordinate origin, and defining the positive directions of the x-axis and y-axis as east and north respectively, they reported their positions to each other via phone while looking at the scenic map.

Li Zhe: "My coordinates are (-300, 200)."
Ding Lin: "My coordinates are (-200, -100)."
Zhang Rui: "My coordinates are (200, -200)."

Can you mark their positions on the diagram below? If they need to meet at one of certain scenic spots (including the east gate, west gate, south gate), which spot should they choose to minimize the total distance they travel? 