Traffic Signal Management System Test Phase 1 Solutions & Discussion Due Date May 09, 2016
Problem Statement for Test Phase 1:
Heavy Decimal Count:
A non-negative integer is called heavy if the average value of its digits in decimal representation exceeds 7.
For example, the number is 9688, it has four digits i.e. Nine, Six, Eight, Eight (9,6,8,8). The average value of its digits is (9+6+8+8)/4 = 7.75. As the average value 7.75 is greater than 7, so we can say that 9688 is a heavy number.
Now take another example, suppose given number is 41153. It has five digits i.e. 4,1,1,5,3. Average value of its digits is (4+1+1+5+3)/5 = 2.8. As the average value 2.8 is less than 7, so we can say that 41153 is not a heavy number.
Now, it is required from you to write a function:
heavyDeciCount(x,y)
In this function two non-negative integers X and Y will be passed as a parameters and the function will count and return the total number of heavy integers within the range of [x..y] (both ends included) (remember x and y are the parameters of the function).
You should consider the following conditions while writing and executing your code.
X is an integer within the range [0…500000];
Y is an integer within the range [0…500000];
X<=Y (X will be less than or equal to Y).
Working of a Program
For example, user gave two numbers i.e. X=9872 and Y=9884. Your program will take these numbers and pass to the function heavyDeciCount(x,y). The function should return 6, because there are six heavy integers within the range [9872….9884];
Calculation Performed by the function is:
Number |
Avg. Calculation |
Average Value |
Is Heavy |
9872 |
(9+8+7+2)/4 |
6.50 |
No |
9873 |
(9+8+7+3)/4 |
6.75 |
No |
9874 |
(9+8+7+4)/4 |
7.00 |
No |
9875 |
(9+8+7+5)/4 |
7.25 |
Yes |
9876 |
(9+8+7+6)/4 |
7.50 |
Yes |
9877 |
(9+8+7+7)/4 |
7.75 |
Yes |
9878 |
(9+8+7+8)/4 |
8.00 |
Yes |
9879 |
(9+8+7+9)/4 |
8.25 |
Yes |
9880 |
(9+8+8+0)/4 |
6.25 |
No |
9881 |
(9+8+8+1)/4 |
6.50 |
No |
9882 |
(9+8+8+2)/4 |
6.75 |
No |
9883 |
(9+8+8+3)/4 |
7.00 |
No |
9884 |
(9+8+8+4)/4 |
7.25 |
Yes |
|
Total Heavy Count |
6 |
Sample Output
Enter 1st integer: 9872
Enter 2nd integer: 9884
Number Average Is Heavy
9872 6.50 No
9873 6.75 No
9874 7.00 No
9875 7.25 Yes
9876 7.50 Yes
9877 7.75 Yes
9878 8.00 Yes
9879 8.25 Yes
9880 6.25 No
9881 6.50 No
9882 6.75 No
9883 7.00 No
9884 7.25 Yes
Total Heavy Count: 6
Tags:
traffic signal management system
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