Cache C$1$ is direct mapped with $16$ one$-$word blocks. Cache C$2$ is direct mapped with $4$ four$-$word blocks. Assume that the miss penalty for C$1$ is $8$ memory bus clock cycles andthe miss penalty for C$2$ is $11$ memory bus clock cycles. Assuming that the caches are initially empty, find a reference string for which C$2$ has a lower miss rate but spends more memory bus clock cycles on cache misses than C$1.$ Use word addresses.