Virus growth
Viruses spread rapidly through a population of students. A student from the class becomes infected with a virus while abroad. This virus is not yet present in the country. The student returns to the class. There are a total of 41 students in the class. The students see each other every school day. The chance of infecting another healthy student in the class is p percent. Students who become infected can also infect other students the next day. All infected students remain contagious.
Assuming p = 2.5 and there are 40 healthy students, then 1 of these 40 will definitely become infected. The number of newly infected students in a day is calculated by first computing the probability of becoming infected. This is (1 - (1 - p/100) raised to the power of students_sick).
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The number of students who become newly infected is this probability multiplied by the number of healthy students: healthy_students * infection_probability. This is rounded to a whole number of students using normal rounding, so 0.5 is rounded up to 1 and 0.4 is rounded down to 0.
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Assignment
- Ask the user for an input of a decimal number for the value of p between 0 and 100.
- Check that the value is between zero and one hundred.
- If the value of p is not between zero and one hundred, the program stops with the message “that value is not between 0 and 100.”
- Create a list of school days: Monday, Tuesday, Wednesday, Thursday, Friday.
- Create a variable healthy_students that indicates the number of non-infected students in the class; the total number of students in the class is 41.
- Create a variable sick_students that indicates the number of infected students in the class.
- Write a loop that calculates the number of healthy students and the number of infected students over 5 consecutive days. Print the day, the number of healthy students, and the number of infected students for each of the 5 consecutive days.
Examples
Input:
2.5
Output:
Monday 40 1
Ruesday 39 2
Wednesday 37 4
Thursday 33 8
Friday 27 14
Input:
-10
Output:
that value is not between 0 and 100.