Question 8
A food factory uses a machine to match its input ingredients to the five recipes shown.

Every recipe must match exactly: consecutive ingredients in the listed order, without skipping any ingredient within the recipe. Ingredients cannot be reused. Unused ingredients pass through as raw outputs. For this example input:

the machine can group the ingredients as follows:

and produce two dishes plus one raw ingredient:

For the following input, what is the smallest total number of dishes and raw ingredients in the output?


Every recipe must match exactly: consecutive ingredients in the listed order, without skipping any ingredient within the recipe. Ingredients cannot be reused. Unused ingredients pass through as raw outputs. For this example input:

the machine can group the ingredients as follows:

and produce two dishes plus one raw ingredient:

For the following input, what is the smallest total number of dishes and raw ingredients in the output?
