Project Euler #40: Champernowne's constant
Question
Answer :
Hacker Rank Problem
Solution
An irrational decimal fraction is created by concatenating the positive integers:
If dn represents the nth digit of the fractional part, find the value of the following expression.
0.123456789101112131415161718192021...
It can be seen that the 12th digit of the fractional part is 1.If dn represents the nth digit of the fractional part, find the value of the following expression.
d1 × d10 × d100 × d1000 × d10000 × d100000 × d1000000
Answer :
Hacker Rank Problem
Solution
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 | import java.util.Scanner; public class Solution { private static int getDigit(long x) { int digits = 1; long range = 9; long first = 1; long skip = 0; while(skip + digits * range < x) { skip += digits * range; digits++; range *= 10; first *= 10; } while(range > 0) { while(skip + digits * range < x) { skip += digits * range; first += range; } range /= 10; } while(skip + digits < x) { first++; skip += digits; } x -= skip; x--; char s = String.valueOf(first).charAt((int) x); return s - '0'; } public static void main(String[] args) { try(Scanner sc = new Scanner(System.in)) { int T = sc.nextInt(); while(T-- > 0) { int product = 1; for(int i = 0; i < 7; i++) { long pos = sc.nextLong(); product *= getDigit(pos); } System.out.println(product); } } } } |
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