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GeezerVison is showing github.com — Java/Maths/LucasSeries.java at master · tmluwei/Java

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LucasSeries.java

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package Maths;
/** https://en.wikipedia.org/wiki/Lucas_number */
public class LucasSeries {
public static void main(String[] args) {
assert lucasSeries(1) == 2 && lucasSeriesIteration(1) == 2;
assert lucasSeries(2) == 1 && lucasSeriesIteration(2) == 1;
assert lucasSeries(3) == 3 && lucasSeriesIteration(3) == 3;
assert lucasSeries(4) == 4 && lucasSeriesIteration(4) == 4;
assert lucasSeries(5) == 7 && lucasSeriesIteration(5) == 7;
assert lucasSeries(6) == 11 && lucasSeriesIteration(6) == 11;
assert lucasSeries(11) == 123 && lucasSeriesIteration(11) == 123;
}
/**
* Calculate nth number of lucas series(2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, ....) using
* recursion
*
* @param n nth
* @return nth number of lucas series
*/
public static int lucasSeries(int n) {
return n == 1 ? 2 : n == 2 ? 1 : lucasSeries(n - 1) + lucasSeries(n - 2);
}
/**
* Calculate nth number of lucas series(2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, ....) using
* iteration
*
* @param n nth
* @return nth number of lucas series
*/
public static int lucasSeriesIteration(int n) {
int previous = 2;
int current = 1;
for (int i = 1; i < n; i++) {
int next = previous + current;
previous = current;
current = next;
}
return previous;
}
}
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