AOJ 5901 - u Calculate e

u Calculate e

Time Limit: 1000ms

Memory Limit: Unknown KB

This problem will be judged on PKU. Original ID: 1517
64-bit integer IO format: %lld Java class name: Main

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Description

A simple mathematical formula for e is
e=Σ_0<=i<=n1/i!
where n is allowed to go to infinity. This can actually yield very accurate approximations of e using relatively small values of n.

Input

No input

Output

Output the approximations of e generated by the above formula for the values of n from 0 to 9. The beginning of your output should appear similar to that shown below.

Sample Input

no input

Sample Output

n e
- -----------
0 1
1 2
2 2.5
3 2.666666667
4 2.708333333
...

Source

Greater New York 2000