Create a program which can test the validity of propositional logic. Remember, a propositional logical statement is invalid should you find any combination of input where the PROPOSITIONAL statements are ALL true, while the CONCLUSION statement is false. Propositional Statements: If someone has a rocket, that implies they’re an astronaut. If someone is an astronaut, that implies they’re highly trained. If someone is highly trained, that implies they’re educated. Conclusion Statement: A person is educated, that implies they have a rocket. Your output should declare the statement to either be valid or invalid. If it’s invalid, it needs to state which combination of inputs yielded the statement invalid.

Assume that minutes is an int variable whose value is 0 or positive. write an expression whose value is "undercooked" or "soft-boiled" or "medium-boiled" or "hard-boiled" or "overcooked" based on the value of minutes. in particular: if the value of minutes is less than 2 the expression's value is "undercooked"; 2-4 would be a "soft-boiled", 5-7 would be "medium-boiled", 8-11 would be "hard-boiled" and 12 or more would be a "overcooked".

Jason, samantha, ravi, sheila, and ankit are preparing for an upcoming marathon. each day of the week, they run a certain number of miles and write them into a notebook. at the end of the week, they would like to know the number of miles run each day, the total miles for the week, and average miles run each day. write a program to them analyze their data. your program must contain parallel arrays: an array to store the names of the runners and a two-dimensional array of five rows and seven columns to store the number of miles run by each runner each day. furthermore, your program must contain at least the following functions: a function to read and store the runners’ names and the numbers of miles run each day; a function to find the total miles run by each runner and the average number of miles run each day; and a function to output the results. (you may assume that the input data is stored in a file and each line of data is in the following form: runnername milesday1 milesday2 milesday3 milesday4 milesday5 milesday6 milesday7.)

What role did women fill during world war ii?