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Chris and Matthew are on the committee for a local scientific journal. In the past they’ve had a problem with accidentally publishing papers whose authors fabricated fraudulent experimental results. As a result, the journal is having serious funding issues and must come up with a way to detect these academically dishonest papers before publishing them. Luckily for the company, Matt was recently browsing Wikipedia (that’s what he does in his free time) and read about a frequency distribution law, called Benford’s Law, that states that the digit 1 occurs as a leading digit about 30% of the time in most real life sources of data. Matt wants to write a program that will automatically analyze the distribution of leading digits in any random set of numbers. Input: Integer Array The data points in a test case. Output: String For each test case, output whether the numbers in the test case pass Benford’s Law’s distribution. A dataset is said to pass Benford’s Law if the percentage of numbers that begin with a leading 1 digit is within 30±5%. If the dataset does not pass Benford’s Law, print the percentage of numbers that began with a leading 1 digit, rounded to the nearest hundredth. UIL2015_INVA_02_BENFORD([10, 5, 9, 2]) → "PASSED" UIL2015_INVA_02_BENFORD([1, 2, 3, 4, 5, 6, 7, 8, 9, 10]) → "FAILED: 20.00%" UIL2015_INVA_02_BENFORD([17, 100, 49]) → "FAILED: 66.67%" ...Save, Compile, Run (ctrl-enter) |
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