Score : $500$ points

Problem Statement

Given is an integer $N$.

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

• The length of $s$, $|s|$, is at most $10^6$.
• There are exactly $N$ pairs of integers $(l,r)$ ($1 \leq l \leq r \leq |s|$) that satisfy the following condition.- When the $l$-th through $r$-th characters of $s$ are extracted and seen as a number, it is divisible by $7$.
• When the $l$-th through $r$-th characters of $s$ are extracted and seen as a number, it is divisible by $7$.

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

Constraints

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

Input

Input is given from Standard Input in the following format:

$N$

Output

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

2

142

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

3

77

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