If we use a 9×9 Gaussian template (with reference pixel at the center) to perform Gaussian filtering of an input image of size P×Q (width × height,) how many add, multiply and divide operations will be required in total to filter the entire image? Give total number separately for the three operations. Assume that we use convolution to perform the filtering and we divide the result by a constant integer value c at each pixel location for normalization. If the template goes outside of the border of the image, we can leave the output be undefined and therefore no calculations are needed at that pixel location. Express your answer in terms of P and Q.