/* Coding Problems (25 points) */

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Please write code for the two problems below. Write the code for both problems in functions below the main function and call both from the main function. The functions should accept data from main, calculate and return the result to main (Problem 2 should print the results for the substance to screen. See below.). Getting data from the user and printing the results should be done in main. When completed, the main function should get input data from the user, call the functions, receive the results of the function calls, and print their results to screen.

1. Write a function that determines the day number (1 to 366) in a year for a date that is provided as input data. As an example, January 1, 1994, is day 1. December 31, 1993, is day 365. December 31, 1996, is day 366, since 1996 is a leap year. A year is a leap year if it is divisible by four, except that any year divisible by 100 is a leap year only if it is divisible by 400. Your function should accept the month, day, and year as integers from main as arguments. Include an additional function leap that returns 1 if called with a leap year, 0 otherwise. Sample screen output:

CALCULATE DAY OF YEAR Enter a date: 12 31 2004 12/31/2004 is the 366th day of 2004

Note that a leap year is a year that is divisible by 4 but not by 100 or divisible by 400. 1900 was not a leap year because it's divisible by 4 but is also divisible by 100. 2000 was a leap year because it's divisible by 400. 1904 was a leap year because it's divisible by 4 but not divisible by 100.

2. The table below shows the normal boiling points of several substances. Write a function that accepts an argument the observed boiling point of a substance in degrees Celsius and identifies the substance if the observed boiling point is within 5% of the expected boiling point. If the data input is more than 5% higher or lower than any of the boiling points in the table, the function should output the message Substance unknown. Note that the function should print the substance and not main. This will simplify the function call in main. You need to test each substance in an else if chain for the temperature passed from main.

Substance Normal boiling point (Celsius) Water 100 Mercury 357 Copper 1187 Silver 2193 Gold 2660

Your function should define and call a function within_x_percent that takes as parameters a reference value ref , a data value data , and a percentage value x and returns 1 meaning true if data is within x % of ref -that is, (ref - x% * ref) <= data <= (ref + x % * ref) . Otherwise within_x_percent would return zero, meaning false. For example, the call within_x_percent(357, 323, 10) would return true, since 10% of 357 is 35.7, and 323 falls between 321.3 and 392.7. Sample screen output:

FIND SUBSTANCE FOR BOILING POINT Enter a temperature: 360 The substance is Mercury

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