First, we begin with a square of side length L. Connect the centers of each side to form an- other square. Connect the centers of each side of this square to form yet another square, and so on, to infinity. Suppose now that all the lines in the diagram are uniform wires. Let the resis- tance of a piece of wire of the Length L (length of a side of the outer most square) be exactly 1. Let the net resistance between the points A and B be R. Compute the k-th digit after the decimal point of the value R. Namely, let R = 0.n1n2n3 ...nk ... Given k, output nk. Input The input of each test cases is simply the value k (k < 10000000), 0 < min(k, 990 ∗ 104 − k) < 104 on its own line. Output For each input value, output the k-th digit of R on a single line. Sample Input 2 4 6 9899898 Sample Output 5 9 8 4