Snow forecast

In the second week of February, students love to go skiing in the Alps. A well-deserved week away after the exams. But is there enough snow?

A student plans to travel to Axamer Lizum in Austria. On the day of arrival, Saturday, there is 50 cm of snow on the mountain by the end of the ski day. The weather forecast predicts that 5 cm of snowfall will occur every night.

During the day, however, the snow can melt. At temperatures below 0°C, the snow remains, but at temperatures of 1°C and above, the snow melts according to the formula:

Where:

T_{dag} = average daytime temperature in degrees Celsius

S_snow = melted snow in cm per day

H_snow = snow height at the beginning of the day

This produces the graph for melted snow at different snow heights depending on the temperature:

Assignment

• Ask the user to input a temperature between -20 and 20 degrees Celsius. The temperatures can be decimal numbers.
• Check that the temperature is between -20 and 20, inclusive of -20 and 20.
• If the user inputs a temperature that is not between -20 and 20 degrees, your program should print “that is not a temperature between -20 and 20 degrees Celsius” and stop. Otherwise, the program continues.
• Create a list with the days from Sunday to Friday.
• Write a loop to predict the snow height at the beginning of each day for six days, from Sunday to Friday. Use the amount of precipitation per night, the snow height, and the input temperature to calculate the snow height.
• Print the name of the day and the predicted snow height in whole centimeters for each day.
• Use the unrounded snow height to further calculate expectations for the following days.

Examples

Input:

 5

Output:

sunday 55
monday 57
tuesday 58
wednesday 60
thursday 62
friday 64

Input:

25

Output:

that is not a temperature between -20 and 20 degrees Celsius