Fibonacci

Given a number NNN​ (1≤N≤1061 \le N \le 10^61N106​), output the first NNN​ terms in the Fibonacci sequence modulo 109+710^9+7109+7​​

Input Format

Line 1 contains the number NNN​​

Output Format

NNN​ numbers modulo 109+710^9+7109+7​​

Sample Input

6

Sample Output

1 1 2 3 5 8

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