diff options
-rw-r--r-- | AlgoDesignAndTechniqueEdxJava/sources/LastDigitOfFibSum.java | 38 | ||||
-rw-r--r-- | AlgoDesignAndTechniqueEdxJava/tests/LastDigitOfFibSumTest.java | 27 |
2 files changed, 65 insertions, 0 deletions
diff --git a/AlgoDesignAndTechniqueEdxJava/sources/LastDigitOfFibSum.java b/AlgoDesignAndTechniqueEdxJava/sources/LastDigitOfFibSum.java new file mode 100644 index 0000000..0783154 --- /dev/null +++ b/AlgoDesignAndTechniqueEdxJava/sources/LastDigitOfFibSum.java @@ -0,0 +1,38 @@ +import java.util.Scanner; + +public class LastDigitOfFibSum { + + final static int FIB_PISANO_PERIOD_FOR_TEN = 60; + + public static int getFibNModM(long n) { + long r = n % FIB_PISANO_PERIOD_FOR_TEN; + if (r == 0) + return 0; + int firstN = 0; + int secondN = 1; + int tempHolder = 1; + for (int i = 1; i < r; i++) { + tempHolder = (firstN + secondN) % 10; + firstN = secondN; + secondN = tempHolder; + } + return secondN; + } + + public static int getLastDigit(long n) { + if (n <= 1) + return (int) n; + int result = getFibNModM(n + 2); + if (result == 0) + return 9; + else + return result - 1; + } + + public static void main(String args[]) { + Scanner in = new Scanner(System.in); + long n = in.nextLong(); + + System.out.println(getLastDigit(n)); + } +} diff --git a/AlgoDesignAndTechniqueEdxJava/tests/LastDigitOfFibSumTest.java b/AlgoDesignAndTechniqueEdxJava/tests/LastDigitOfFibSumTest.java new file mode 100644 index 0000000..49df83d --- /dev/null +++ b/AlgoDesignAndTechniqueEdxJava/tests/LastDigitOfFibSumTest.java @@ -0,0 +1,27 @@ +import static org.junit.jupiter.api.Assertions.*; + +import org.junit.jupiter.api.Test; + +public class LastDigitOfFibSumTest { + @Test + void testLastDigitOfFibSum0() { + assertEquals(0, LastDigitOfFibSum.getLastDigit(0)); + } + @Test + void testLastDigitOfFibSum1() { + assertEquals(1, LastDigitOfFibSum.getLastDigit(1)); + } + @Test + void testLastDigitOfFibSum6() { + assertEquals(0, LastDigitOfFibSum.getLastDigit(6)); + } + @Test + void testLastDigitOfFibSum9() { + assertEquals(8, LastDigitOfFibSum.getLastDigit(9)); + } + @Test + void testLastDigitOfFibSum100() { + assertEquals(5, LastDigitOfFibSum.getLastDigit(100)); + } + +} |