PROBLEM STATEMENT
The results of rolling a die a number of times is given. If one particular
value comes up more than 1/4 of the time, or comes up less than 1/10 of the
time, the die is considered to be loaded (Loaded means weighted in such a way
as to make the die show a particular number more or less often than is
statistically acceptable).
Given a sample of die rolls, decide whether or not the die is loaded, and if
so, return the numbers that came up too many or too few times.
DEFINITION
Class Name: DiceChecker
Method Name: badValues
Parameters: int[]
Returns: int[]
Method signature: int[] badValues(int[] values)
Be sure your method is public.
TopCoder will ensure the validity of the inputs. Inputs are valid if all of
the following criteria are met:
*values has between 1 and 50 elements, inclusive.
*each element of values is between 1 and 6, inclusive.
Return an int[] that contains the numbers between 1 and 6 (inclusive) that were
in the int[] too few or too many times.
NOTES
- If the die is not loaded, return an empty int[].
- Sort the output ascending ( { 1, 2 }, not { 2, 1 } ).
Examples:
values: { 1, 2, 3, 4, 5, 6, 1, 2, 3, 4 }
1 comes up 1/5 of the time.
2 comes up 1/5 of the time.
3 comes up 1/5 of the time.
4 comes up 1/5 of the time.
5 comes up 1/10 of the time.
6 comes up 1/10 of the time.
No value comes up more than 1/4 of the time or less than 1/10 of the time.
The die is not loaded so return {} (empty int[]).
values: { 3, 1, 5 }
1 comes up 1/3 of the time.
2 does not comes up.
3 comes up 1/3 of the time.
4 does not comes up.
5 comes up 1/3 of the time.
6 does not comes up.
2, 4, and 6 come up less than 1/10 of the time, and 1, 2, and 3 come up more
than 1/4 of the time so return { 1, 2, 3, 4, 5, 6 }.
values : { 1, 1, 1, 1, 1, 1, 1, 2, 2, 2 }
1 comes up 7/10 of the time.
2 comes up 3/10 of the time.
3 does not comes up.
4 does not comes up.
5 does not comes up.
6 does not comes up.
All values are out of the range specified for an unloaded die (> 1/4 or < 1/10).
return { 1, 2, 3, 4, 5, 6 }.
values : { 1, 1, 3, 3, 4, 4, 2, 2, 5, 5, 6, 6 }
1 comes up 1/6 of the time.
2 comes up 1/6 of the time.
3 comes up 1/6 of the time.
4 comes up 1/6 of the time.
5 comes up 1/6 of the time.
6 comes up 1/6 of the time.
All values are in the range specified for an unloaded die (> 1/4 or < 1/10)
return {}.