Assume that a processor takes $1$ cycle for simple integer instructions, $2$ cycles for branches, and $4$ cycles for integer multiply. Loads and stores take $2$ cycles on an L$1$ cache hit, or $20$ cycles on a miss. The instruction stream is made up of $30\%$ branches, $20\%$ loads$/$stores$,40\%$ integer operations, and $10\%$ integer multiply instructions. Of the memory accesses, $90\%$ are hits and $10\%$ are misses. What is the average CPI for this instruction stream?