In a matrix of prices, count the height-by-width sub-rectangles whose values strictly increase when read in a snake pattern from the top-left corner.

Given a matrix of prices (rows are days, columns are times in a day) and a height and width, count the height-by-width sub-rectangles that are golden: reading the cells in a snake pattern (left to right on the first row, right to left on the next, and so on, from the top-left corner) the values strictly increase.