Given two tables, playground.gifts and playground.packages, write a SQL query to match each gift to the smallest package it fits into based on dimensions. A gift fits in a package if its dimensions are less than or equal to those of the package. A package is considered smaller than another if its volume is smaller. Each package can hold only one gift. Produce a table with columns: package_type and number, where number indicates how many gifts are matched to each package_type. Exclude package types not used. Sort the result by package_type in ascending order. Assume every gift fits in at least one package and no two packages have the same volume.

• id int
• gift_name string
• length int
• width int
• height int

• package_type string
• length int
• width int
• height int