Description

计算E=1+1/1!+1/2!+1/3!+……，有键盘输入N（<2000），表示要精确到小数点后第N位，每一行输出50位。

Input

Output

Sample Input

200

Sample Output

2.
71828182845904523536028747135266249775724709369995
95749669676277240766303535475945713821785251664274
27466391932003059921817413596629043572900334295260
59563073813232862794349076323382988075319525101901

HINT

Source

NBU OJ