2. [6 points] In a JPEG image coder, after the DCT, quantization and zig-zag scanning all the AC coefficients are coded through a run-length coding. This run-length coding is defined as pairs of (zero-run, amplitude), where the amplitude is a non-zero coefficient and the zero-run is the number of zeros prior to this non-zero coefficient. At a certain point when there is no more non-zero coefficient in the block, a symbol EOB (end-of-block) is coded. For a block of DCT transformed and quantized coefficients as shown, generate the run-length coding pairs for the AC coefficients. 1380 337 -42 0 1 0 0 0 -136 -1 0 0 0 00 12 0 01 0 0 0 0 -7 1 00 00 0 0