The same birthday

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Problem

The problem is to compute the probability that in a room of n people, at least two have the same birthday.

Options

exec is denied

now post-mortem time, all source codes will be revealed

Sample input:_

*NOTHING*

Sample output:

n=2, p=0.00273973
n=3, p=0.00820417
n=4, p=0.01635591
n=5, p=0.02713557
n=6, p=0.04046248
n=7, p=0.05623570
n=8, p=0.07433529
n=9, p=0.09462383
n=10, p=0.11694818
n=11, p=0.14114138
n=12, p=0.16702479
n=13, p=0.19441028
n=14, p=0.22310251
n=15, p=0.25290132
n=16, p=0.28360401
n=17, p=0.31500767
n=18, p=0.34691142
n=19, p=0.37911853
n=20, p=0.41143838
n=21, p=0.44368834
n=22, p=0.47569531
n=23, p=0.50729723
n=24, p=0.53834426
n=25, p=0.56869970
n=26, p=0.59824082
n=27, p=0.62685928
n=28, p=0.65446147
n=29, p=0.68096854
n=30, p=0.70631624
n=31, p=0.73045463
n=32, p=0.75334753
n=33, p=0.77497185
n=34, p=0.79531686
n=35, p=0.81438324
n=36, p=0.83218211
n=37, p=0.84873401
n=38, p=0.86406782
n=39, p=0.87821966
n=40, p=0.89123181
n=41, p=0.90315161
n=42, p=0.91403047
n=43, p=0.92392286
n=44, p=0.93288537
n=45, p=0.94097590
n=46, p=0.94825284
n=47, p=0.95477440
n=48, p=0.96059797
n=49, p=0.96577961
n=50, p=0.97037358
n=51, p=0.97443199
n=52, p=0.97800451
n=53, p=0.98113811
n=54, p=0.98387696
n=55, p=0.98626229
n=56, p=0.98833235
n=57, p=0.99012246
n=58, p=0.99166498
n=59, p=0.99298945
n=60, p=0.99412266
n=61, p=0.99508880
n=62, p=0.99590957
n=63, p=0.99660439
n=64, p=0.99719048
n=65, p=0.99768311
n=66, p=0.99809570
n=67, p=0.99844004
n=68, p=0.99872639
n=69, p=0.99896367
n=70, p=0.99915958
n=71, p=0.99932075
n=72, p=0.99945288
n=73, p=0.99956081
n=74, p=0.99964864
n=75, p=0.99971988
n=76, p=0.99977744
n=77, p=0.99982378
n=78, p=0.99986095
n=79, p=0.99989067
n=80, p=0.99991433
n=81, p=0.99993311
n=82, p=0.99994795
n=83, p=0.99995965
n=84, p=0.99996882
n=85, p=0.99997600
n=86, p=0.99998159
n=87, p=0.99998593
n=88, p=0.99998928
n=89, p=0.99999186
n=90, p=0.99999385
n=91, p=0.99999537
n=92, p=0.99999652
n=93, p=0.99999740
n=94, p=0.99999806
n=95, p=0.99999856
n=96, p=0.99999893
n=97, p=0.99999922
n=98, p=0.99999942
n=99, p=0.99999958
n=100, p=0.99999969

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