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ZOJ Problem Set - 1113
u Calculate e

Time Limit: 2 Seconds      Memory Limit: 65536 KB

Background

A simple mathematical formula for e is

where n is allowed to go to infinity. This can actually yield very accurate approximations of e using relatively small values of n.


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.


Example

Output

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

Source: Greater New York 2000
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