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For Riddler Express Challenge from 538
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public class SmallestDenominator { | |
public static void main(String[] args) { | |
double min_denominator = 1000000000; | |
double numerator = 0; | |
for(double i=1;i<100000;i++){ | |
for(double j=1;j<50000;j++){ | |
if(((double)1/2019 > i/j) && (i/j > (double)1/2020)){ | |
if(j<min_denominator){ | |
min_denominator = j; | |
numerator = i; | |
} | |
} | |
} | |
} | |
System.out.println("Smallest denominator: " + min_denominator); | |
System.out.println("Numerator for smallest denominator: " + numerator); | |
} | |
} |
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This value is between 1/2019 and 1/2020.
Output:
Smallest denominator: 4039.0
Numerator for smallest denominator: 2.0