6. (Difficulty: %) Consider 2D filters with the following impulse responses: 00 0 0 0 00100 1100100 1100300 f1=501110 fa=33 |0 0500 00 1 0 0 o 0 3 00 00 0 0 0 00 1 0 0 00 0 0 0 0 0 0 0 0 101110 110101 fa==10 1110 fai==|1 01 0 1 990 111 0 Y1101 01 0 0 0 0 0 0 0 0 0 0 Using the separability property where appropriate, write the minimum total number of arithmetic operations (number of additions and multiplications summed together) per sample needed to filter a 2D image with each of the given filters. Assume that the size of the filtered 2D imageis N x N, where IV isvery large. Write the minimum number of arithmetic operations separated by a space, from the one corresponding to the filter fl to the one corresponding to f-.1. Forexample, if 1 required 1 addition and 1 multiplication per sample, fa 2 additions and 2 multiplications per sample, f3 3 additions and 3 multiplications per sample, and f4 4 additions and 4 multiplications per sample, the correct answer would be: 2468