Partition function

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Problem

Partition function - Wikipedia, the free encyclopedia
en.wikipedia.org/wiki/Partition_function

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

Sample input:_

*NOTHING*

Sample output:

p(1)=1
p(2)=2
p(3)=3
p(4)=5
p(5)=7
p(6)=11
p(7)=15
p(8)=22
p(9)=30
p(10)=42
p(11)=56
p(12)=77
p(13)=101
p(14)=135
p(15)=176
p(16)=231
p(17)=297
p(18)=385
p(19)=490
p(20)=627
p(21)=792
p(22)=1002
p(23)=1255
p(24)=1575
p(25)=1958
p(26)=2436
p(27)=3010
p(28)=3718
p(29)=4565
p(30)=5604
p(31)=6842
p(32)=8349
p(33)=10143
p(34)=12310
p(35)=14883
p(36)=17977
p(37)=21637
p(38)=26015
p(39)=31185
p(40)=37338
p(41)=44583
p(42)=53174
p(43)=63261
p(44)=75175
p(45)=89134
p(46)=105558
p(47)=124754
p(48)=147273
p(49)=173525
p(50)=204226
p(51)=239943
p(52)=281589
p(53)=329931
p(54)=386155
p(55)=451276
p(56)=526823
p(57)=614154
p(58)=715220
p(59)=831820
p(60)=966467
p(61)=1121505
p(62)=1300156
p(63)=1505499
p(64)=1741630
p(65)=2012558
p(66)=2323520
p(67)=2679689
p(68)=3087735
p(69)=3554345
p(70)=4087968
p(71)=4697205
p(72)=5392783
p(73)=6185689
p(74)=7089500
p(75)=8118264
p(76)=9289091
p(77)=10619863
p(78)=12132164
p(79)=13848650
p(80)=15796476
p(81)=18004327
p(82)=20506255
p(83)=23338469
p(84)=26543660
p(85)=30167357
p(86)=34262962
p(87)=38887673
p(88)=44108109
p(89)=49995925
p(90)=56634173
p(91)=64112359
p(92)=72533807
p(93)=82010177
p(94)=92669720
p(95)=104651419
p(96)=118114304
p(97)=133230930
p(98)=150198136
p(99)=169229875
p(100)=190569292

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