#arc129c. [arc129_c]Multiple of 7

[arc129_c]Multiple of 7

Problem Statement

Given is an integer NN.

Find one string ss consisting of 1, 2, cdots\\cdots, 9 that satisfies the conditions below.

  • The length of ss, s|s|, is at most 10610^6.
  • There are exactly NN pairs of integers (l,r)(l,r) (1leqlleqrleqs1 \\leq l \\leq r \\leq |s|) that satisfy the following condition.
    • When the ll-th through rr-th characters of ss are extracted and seen as a number, it is divisible by 77.

Under the Constraints of this problem, we can prove that a solution always exists.

Constraints

  • 1leqNleq1061 \\leq N \\leq 10^6
  • All values in input are integers.

Input

Input is given from Standard Input in the following format:

NN

Output

Print a string ss that satisfies the conditions. If multiple solutions exist, printing any of them would be accepted.


Sample Input 1

2

Sample Output 1

142

Two pairs (l,r)=(1,2),(2,3)(l,r)=(1,2),(2,3) satisfy the conditions.


Sample Input 2

3

Sample Output 2

77

Three pairs (l,r)=(1,1),(2,2),(1,2)(l,r)=(1,1),(2,2),(1,2) satisfy the conditions.