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03:44:00.781653,Keir Alexander,12.0,1.0,4,2014-08,0 +UgwLUkm5oqPrUyjqFlR4AaABAQ,85SWvmXIEV285Sb1E65xL0,2015-10-18 09:36:39.438706,Mark Regan,47,4,TEXT,2015-10-18 09:36:10.932367,Louise Regan,28.0,1.0,6,2015-10,1 +UgwUBKMcZgFowQTz1Rt4AaABAQ,7-H0Z7-HQQg7-H1JJEmE5K,2013-12-19 02:49:28.552063,Mark Regan,44,2,TEXT,2013-12-19 02:48:50.916592,Daragh Walsh,37.0,1.0,3,2013-12,0 +UgwUBKMcZgFowQTz1Rt4AaABAQ,7-H0Z7-HQQg7-H1NQV6lMv,2013-12-19 02:50:02.249113,Mark Regan,29,2,TEXT,2013-12-19 02:49:50.401824,Daragh Walsh,11.0,1.0,3,2013-12,0 +UgwUBKMcZgFowQTz1Rt4AaABAQ,7-H0Z7-HQQg7-H1RPd1OTh,2013-12-19 02:50:34.906922,Mark Regan,102,2,TEXT,2013-12-19 02:50:11.427353,Daragh Walsh,23.0,1.0,3,2013-12,0 +UgwUBKMcZgFowQTz1Rt4AaABAQ,7-H0Z7-HQQg7-H1XZ3YFlF,2013-12-19 02:51:25.266040,Mark Regan,15,2,TEXT,2013-12-19 02:51:14.914502,Daragh Walsh,10.0,1.0,3,2013-12,0 +UgwUBKMcZgFowQTz1Rt4AaABAQ,7-H0Z7-HQQg7-HeFtekGdS,2013-12-19 08:38:32.093829,Mark Regan,12,2,TEXT,2013-12-19 08:37:42.776099,Daragh 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+UgwWtlWIydxSdkSJchR4AaABAQ,7-H0Z7-1kA671qdQeaCniz,2014-03-13 09:30:41.257888,Mark Regan,43,2,TEXT,2014-03-13 09:30:24.411440,David Hunt,16.0,1.0,3,2014-03,0 +UgwWtlWIydxSdkSJchR4AaABAQ,7-H0Z7-1kA671qdXxVJiRI,2014-03-13 09:31:41.022473,Mark Regan,26,2,TEXT,2014-03-13 09:31:22.057759,David Hunt,18.0,1.0,3,2014-03,0 +UgwWtlWIydxSdkSJchR4AaABAQ,7-H0Z7-1kA671qdi3RZmZn,2014-03-13 09:33:12.023426,Mark Regan,72,2,TEXT,2014-03-13 09:32:44.799272,David Hunt,27.0,1.0,3,2014-03,0 +UgwWtlWIydxSdkSJchR4AaABAQ,7-H0Z7-1kA671qdsVfydFR,2014-03-13 09:34:37.557006,Mark Regan,66,2,TEXT,2014-03-13 09:34:06.266777,David Hunt,31.0,1.0,3,2014-03,0 +UgwWtlWIydxSdkSJchR4AaABAQ,7-H0Z7-1kA671qdzyqa5dS,2014-03-13 09:35:38.762895,Mark Regan,48,2,TEXT,2014-03-13 09:35:01.661747,David Hunt,37.0,1.0,3,2014-03,0 +UgwcC5CBvr8ldZef7ex4AaABAQ,7-H0Z7-QaYe7-H0dGj0wQC,2015-03-31 12:03:03.699347,Mark Regan,6,4,TEXT,2015-03-31 12:02:46.184768,Louise Regan,17.0,1.0,1,2015-03,0 +UgwcC5CBvr8ldZef7ex4AaABAQ,7-H0Z7-QaYe7-H0gm6vqvh,2015-03-31 12:03:32.420093,Mark Regan,48,4,TEXT,2015-03-31 12:03:14.104444,Louise Regan,18.0,1.0,1,2015-03,0 +UgwkOiWSDzfqbZD63K94AaABAQ,7-H0Z7-2C9h7-H0_nz1fNg,2013-05-23 08:04:03.552168,Mark Regan,23,2,TEXT,2013-05-23 08:03:50.640519,Trish Deely,12.0,1.0,3,2013-05,0 +UgwkOiWSDzfqbZD63K94AaABAQ,7-H0Z7-2C9h7-H0c8XSjeo,2013-05-23 08:04:22.693802,Mark Regan,16,2,TEXT,2013-05-23 08:04:13.225853,Trish Deely,9.0,1.0,3,2013-05,0 +UgwkOiWSDzfqbZD63K94AaABAQ,7-H0Z7-2C9h7-H0fF-QBoS,2013-05-23 08:04:48.097954,Mark Regan,24,2,TEXT,2013-05-23 08:04:29.360706,Trish Deely,18.0,1.0,3,2013-05,0 +UgwkOiWSDzfqbZD63K94AaABAQ,7-H0Z7-2C9h7-H0jDG9mB5,2013-05-23 08:05:20.644041,Mark Regan,9,2,TEXT,2013-05-23 08:05:13.668768,Trish Deely,6.0,1.0,3,2013-05,0 +UgwkOiWSDzfqbZD63K94AaABAQ,7-H0Z7-2C9h7-H0oyNhwz7,2013-05-23 08:06:07.763515,Mark Regan,39,2,TEXT,2013-05-23 08:05:39.738200,Trish Deely,28.0,1.0,3,2013-05,0 +UgwkOiWSDzfqbZD63K94AaABAQ,7-H0Z7-2C9h7-H0xFldlNm,2013-05-23 08:07:15.652551,Mark Regan,47,2,TEXT,2013-05-23 08:06:51.668905,Trish Deely,23.0,1.0,3,2013-05,0 +UgwkOiWSDzfqbZD63K94AaABAQ,7-H0Z7-2C9h7-H19TJD67b,2013-05-23 08:09:03.882214,Mark Regan,65,2,TEXT,2013-05-23 08:08:30.191569,Trish Deely,33.0,1.0,3,2013-05,0 +UgwkOiWSDzfqbZD63K94AaABAQ,7-H0Z7-2C9h7-H1K8wZtB8,2013-05-23 08:10:31.386613,Mark Regan,6,2,TEXT,2013-05-23 08:10:23.177467,Trish Deely,8.0,1.0,3,2013-05,0 +UgwkOiWSDzfqbZD63K94AaABAQ,7-H0Z7-2C9h7-H1ZXS1QF-,2013-05-23 08:12:37.403720,Mark Regan,50,2,TEXT,2013-05-23 08:12:12.353270,Trish Deely,25.0,1.0,3,2013-05,0 +UgwkOiWSDzfqbZD63K94AaABAQ,7-H0Z7-2C9h7-H1d5s_nNN,2013-05-23 08:13:14.835316,Mark Regan,14,2,TEXT,2013-05-23 08:13:04.870722,Trish Deely,9.0,1.0,3,2013-05,0 +UgwkOiWSDzfqbZD63K94AaABAQ,7-H0Z7-2C9h7-H1i3INxFa,2013-05-23 08:13:55.464354,Mark Regan,40,2,TEXT,2013-05-23 08:13:44.920444,Trish Deely,10.0,1.0,3,2013-05,0 +UgwkOiWSDzfqbZD63K94AaABAQ,7-H0Z7-2C9h7-H1nVSAUF7,2013-05-23 08:14:40.027539,Mark Regan,46,2,TEXT,2013-05-23 08:14:14.182175,Trish Deely,25.0,1.0,3,2013-05,0 +UgwkOiWSDzfqbZD63K94AaABAQ,7-H0Z7-2C9h70NGQy5othi,2013-06-19 14:49:21.775151,Mark Regan,32,2,TEXT,2013-06-19 14:49:06.878877,Trish Deely,14.0,1.0,2,2013-06,0 +UgwkOiWSDzfqbZD63K94AaABAQ,7-H0Z7-2C9h70NGXAvyg00,2013-06-19 14:50:12.696938,Mark Regan,41,2,TEXT,2013-06-19 14:49:51.054615,Trish Deely,21.0,1.0,2,2013-06,0 +UgwkOiWSDzfqbZD63K94AaABAQ,7-H0Z7-2C9h70NGdmjhy3K,2013-06-19 14:51:15.009113,Mark Regan,41,2,TEXT,2013-06-19 14:51:02.822096,Trish Deely,12.0,1.0,2,2013-06,0 +UgwkOiWSDzfqbZD63K94AaABAQ,7-H0Z7-2C9h70NGh-em6e5,2013-06-19 14:51:41.367457,Mark Regan,13,2,TEXT,2013-06-19 14:51:24.784800,Trish Deely,16.0,1.0,2,2013-06,0 +UgwkOiWSDzfqbZD63K94AaABAQ,7-H0Z7-2C9h70NGt5sMuT9,2013-06-19 14:53:20.465666,Mark Regan,49,2,TEXT,2013-06-19 14:52:39.446911,Trish Deely,41.0,1.0,2,2013-06,0 +UgwkOiWSDzfqbZD63K94AaABAQ,7-H0Z7-2C9h70NH-lAKsP2,2013-06-19 14:54:23.224351,Mark Regan,84,2,TEXT,2013-06-19 14:54:18.352176,Trish Deely,4.0,1.0,2,2013-06,0 +UgwkOiWSDzfqbZD63K94AaABAQ,7-H0Z7-2C9h70NHXiU44ss,2013-06-19 14:59:01.408029,Mark Regan,20,2,TEXT,2013-06-19 14:58:54.884442,Trish Deely,6.0,1.0,2,2013-06,0 +Ugwn_hjWEzXfJeG3yRB4AaABAQ,7-H0Z7-46Jt7-H4ngg66P4,2014-01-25 16:42:38.148979,Mark Regan,33,2,TEXT,2014-01-25 16:42:02.228701,Daniel Goehl,35.0,1.0,5,2014-01,1 +Ugwn_hjWEzXfJeG3yRB4AaABAQ,7-H0Z7-46Jt7-H6ACq4Sga,2014-01-25 16:54:35.096822,Mark Regan,26,2,TEXT,2014-01-25 16:54:19.946949,Daniel Goehl,15.0,1.0,5,2014-01,1 +Ugwn_hjWEzXfJeG3yRB4AaABAQ,7-H0Z7-46Jt7023qqTgcF5,2014-02-13 17:17:06.857894,Mark Regan,57,2,TEXT,2014-02-13 17:16:25.388000,Daniel Goehl,41.0,1.0,3,2014-02,0 +UgxFtG17etMDMNeK85t4AaABAQ,7-H0Z7-5skZ7-H0hN1BUhJ,2015-01-12 17:01:52.252268,Mark Regan,27,4,TEXT,2015-01-12 17:01:20.735068,Carsten de Vries,31.0,1.0,0,2015-01,0 +UgxFtG17etMDMNeK85t4AaABAQ,7-H0Z7-5skZ7-Jm1bmg4TW,2015-01-13 18:42:40.988880,Mark Regan,7,4,TEXT,2015-01-13 18:42:25.817443,Daniel Goehl,15.0,1.0,1,2015-01,0 +UgxFtG17etMDMNeK85t4AaABAQ,7-H0Z7-5skZ7-KCuysBdwQ,2015-01-13 22:46:18.471442,Mark Regan,4,4,TEXT,2015-01-13 22:46:08.324918,Carsten de Vries,10.0,1.0,1,2015-01,0 +UgxFtG17etMDMNeK85t4AaABAQ,7-H0Z7-5skZ7-KD7RWYDsg,2015-01-13 22:48:08.762658,Mark Regan,2,4,TEXT,2015-01-13 22:47:59.642008,Carsten de Vries,9.0,1.0,1,2015-01,0 +UgxJdiwfjdD_y1tmCrZ4AaABAQ,7-H0Z7-6epQ7-IlptT6OUK,2013-10-08 10:54:20.663566,Mark Regan,18,2,TEXT,2013-10-08 10:54:10.304181,Norman Lemke,10.0,1.0,1,2013-10,0 +UgxJdiwfjdD_y1tmCrZ4AaABAQ,7-H0Z7-6epQ7-JAHqc4Eh5,2013-10-08 14:36:45.067462,Mark Regan,14,2,TEXT,2013-10-08 14:36:31.529240,Norman Lemke,13.0,1.0,1,2013-10,0 +UgxJdiwfjdD_y1tmCrZ4AaABAQ,7-H0Z7-6epQ7-hrx-skDgW,2013-10-18 14:07:59.916909,Mark Regan,32,2,TEXT,2013-10-18 14:07:25.225586,Norman Lemke,34.0,1.0,4,2013-10,0 +UgxJdiwfjdD_y1tmCrZ4AaABAQ,7-H0Z7-6epQ7-hs-J5jM-_,2013-10-18 14:08:26.952695,Mark Regan,5,2,TEXT,2013-10-18 14:08:20.541818,Norman Lemke,6.0,1.0,4,2013-10,0 +UgxJdiwfjdD_y1tmCrZ4AaABAQ,7-H0Z7-6epQ7-hs5bQghpW,2013-10-18 14:09:18.578458,Mark Regan,18,2,TEXT,2013-10-18 14:09:08.086093,Norman Lemke,10.0,1.0,4,2013-10,0 +UgxJdiwfjdD_y1tmCrZ4AaABAQ,7-H0Z7-6epQ7-hs7eXcE2G,2013-10-18 14:09:35.360296,Mark Regan,25,2,TEXT,2013-10-18 14:09:25.432596,Norman Lemke,9.0,1.0,4,2013-10,0 +UgxOT8UpvdjnmQpwAKl4AaABAQ,7-H0Z7-0rlq77nsz-pkxI9,2014-07-15 13:09:46.035994,Mark Regan,37,2,TEXT,2014-07-15 13:09:24.986712,Michael Regan,21.0,1.0,1,2014-07,0 +UgxOT8UpvdjnmQpwAKl4AaABAQ,7-H0Z7-0rlq77nt3c6mElr,2014-07-15 13:10:32.024596,Mark Regan,23,2,TEXT,2014-07-15 13:10:23.703076,Michael Regan,8.0,1.0,1,2014-07,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P7-kwKPI0tzP,2013-05-29 07:11:02.359256,Mark Regan,43,2,TEXT,2013-05-29 07:10:56.038733,Raymond O' Hara,6.0,1.0,2,2013-05,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P7-kwOqjpcGv,2013-05-29 07:11:38.768501,Mark Regan,36,2,TEXT,2013-05-29 07:11:23.430995,Raymond O' Hara,15.0,1.0,2,2013-05,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P7-kwRTvcsly,2013-05-29 07:12:00.296134,Mark Regan,2,2,TEXT,2013-05-29 07:11:53.307764,Raymond O' Hara,6.0,1.0,2,2013-05,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P7-kwTQScOcJ,2013-05-29 07:12:16.236985,Mark Regan,29,2,TEXT,2013-05-29 07:12:05.243378,Raymond O' Hara,10.0,1.0,2,2013-05,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P7-kwWFDsCx-,2013-05-29 07:12:39.374873,Mark Regan,40,2,TEXT,2013-05-29 07:12:35.642088,Raymond O' Hara,3.0,1.0,2,2013-05,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P7-kyZB9YTyj,2013-05-29 07:30:32.006636,Mark Regan,2,2,TEXT,2013-05-29 07:29:54.876030,Raymond O' Hara,37.0,1.0,2,2013-05,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P7-kygLV-Slc,2013-05-29 07:31:38.865403,Mark Regan,22,2,TEXT,2013-05-29 07:31:32.213192,Raymond O' Hara,6.0,1.0,2,2013-05,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P7P33ZCakcjo,2015-02-17 01:33:23.326420,Mark Regan,12,2,TEXT,2015-02-17 01:33:11.482698,Raymond O' Hara,11.0,1.0,1,2015-02,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P7P33djbq70w,2015-02-17 01:34:08.640452,Mark Regan,77,2,TEXT,2015-02-17 01:33:58.078652,Raymond O' Hara,10.0,1.0,1,2015-02,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P7P33ih0RvL2,2015-02-17 01:34:49.267686,Mark Regan,108,2,TEXT,2015-02-17 01:34:17.545984,Raymond O' Hara,31.0,1.0,1,2015-02,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P7P33lnNuEk4,2015-02-17 01:35:14.658837,Mark Regan,26,2,TEXT,2015-02-17 01:35:04.892674,Raymond O' Hara,9.0,1.0,1,2015-02,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P7P33qIUp3xK,2015-02-17 01:35:51.536283,Mark Regan,14,2,TEXT,2015-02-17 01:35:42.992282,Raymond O' Hara,8.0,1.0,1,2015-02,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P7P33vXCKOLj,2015-02-17 01:36:34.379642,Mark Regan,83,2,TEXT,2015-02-17 01:36:33.447690,Raymond O' Hara,0.0,0.0,1,2015-02,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P7P33zqjb-wB,2015-02-17 01:37:09.776607,Mark Regan,4,2,TEXT,2015-02-17 01:37:01.545141,Raymond O' Hara,8.0,1.0,1,2015-02,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P7P342sayQ8v,2015-02-17 01:37:42.782666,Mark Regan,12,2,TEXT,2015-02-17 01:37:39.957637,Raymond O' Hara,2.0,1.0,1,2015-02,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P7P344m7dswx,2015-02-17 01:37:58.338314,Mark Regan,19,2,TEXT,2015-02-17 01:37:55.346256,Raymond O' Hara,2.0,1.0,1,2015-02,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P7P349yD2v5C,2015-02-17 01:38:40.845242,Mark Regan,122,2,TEXT,2015-02-17 01:38:07.521616,Raymond O' Hara,33.0,1.0,1,2015-02,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P7P34Lm-ogI1,2015-02-17 01:40:17.586227,Mark Regan,45,2,TEXT,2015-02-17 01:40:08.002293,Raymond O' Hara,9.0,1.0,1,2015-02,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P7P34OZ_WAUF,2015-02-17 01:40:40.444468,Mark Regan,22,2,TEXT,2015-02-17 01:40:30.359829,Raymond O' Hara,10.0,1.0,1,2015-02,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P7zS_gSk1gEG,2015-04-27 09:45:11.264307,Mark Regan,5,2,TEXT,2015-04-27 09:45:03.177562,Raymond O' Hara,8.0,1.0,0,2015-04,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P7zS_iPP90HF,2015-04-27 09:45:27.220348,Mark Regan,30,2,TEXT,2015-04-27 09:45:17.663574,Raymond O' Hara,9.0,1.0,0,2015-04,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P7zS_jmIPPC8,2015-04-27 09:45:38.470533,Mark Regan,16,2,TEXT,2015-04-27 09:45:35.692430,Raymond O' Hara,2.0,1.0,0,2015-04,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P7zS_kBLw67j,2015-04-27 09:45:41.805384,Mark Regan,16,2,TEXT,2015-04-27 09:45:39.209071,Raymond O' Hara,2.0,1.0,0,2015-04,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P7zS_khuIDhi,2015-04-27 09:45:46.100661,Mark Regan,4,2,TEXT,2015-04-27 09:45:43.167011,Raymond O' Hara,2.0,1.0,0,2015-04,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P7zS_njKU8JB,2015-04-27 09:46:10.858643,Mark Regan,52,2,TEXT,2015-04-27 09:45:53.284941,Raymond O' Hara,17.0,1.0,0,2015-04,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P7zS_pNOHGW2,2015-04-27 09:46:24.306631,Mark Regan,37,2,TEXT,2015-04-27 09:46:12.419210,Raymond O' Hara,11.0,1.0,0,2015-04,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P7zS_vxttpzK,2015-04-27 09:47:18.259622,Mark Regan,42,2,TEXT,2015-04-27 09:46:46.642156,Raymond O' Hara,31.0,1.0,0,2015-04,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P7zSa-NVaS9i,2015-04-27 09:47:54.433691,Mark Regan,35,2,TEXT,2015-04-27 09:47:45.563089,Raymond O' Hara,8.0,1.0,0,2015-04,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P7zSa469_qlZ,2015-04-27 09:48:33.173016,Mark Regan,19,2,TEXT,2015-04-27 09:48:06.772138,Raymond O' Hara,26.0,1.0,0,2015-04,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P7zSa6d97LcV,2015-04-27 09:48:53.908007,Mark Regan,17,2,TEXT,2015-04-27 09:48:46.409186,Raymond O' Hara,7.0,1.0,0,2015-04,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P7zSa9ga2YJU,2015-04-27 09:49:18.924242,Mark Regan,37,2,TEXT,2015-04-27 09:49:15.801375,Raymond O' Hara,3.0,1.0,0,2015-04,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P7zSaF1mw3gv,2015-04-27 09:50:02.725087,Mark Regan,5,2,TEXT,2015-04-27 09:49:56.615946,Raymond O' Hara,6.0,1.0,0,2015-04,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P7zSbbXea4W2,2015-04-27 10:01:59.509399,Mark Regan,50,2,TEXT,2015-04-27 10:01:37.676175,Raymond O' Hara,21.0,1.0,0,2015-04,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P7zSbfTeXFsg,2015-04-27 10:02:31.765544,Mark Regan,5,2,TEXT,2015-04-27 10:02:28.629369,Raymond O' Hara,3.0,1.0,0,2015-04,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P7zSbqZ0DARV,2015-04-27 10:04:02.562619,Mark Regan,20,2,TEXT,2015-04-27 10:03:52.558489,Raymond O' Hara,10.0,1.0,0,2015-04,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P80DhrIdgUIM,2015-06-10 08:10:45.203179,Mark Regan,10,2,TEXT,2015-06-10 08:10:26.636013,Raymond O' Hara,18.0,1.0,2,2015-06,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P80DhvX0uc34,2015-06-10 08:11:19.811059,Mark Regan,52,2,TEXT,2015-06-10 08:11:15.080395,Raymond O' Hara,4.0,1.0,2,2015-06,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P80DhxZqG_a-,2015-06-10 08:11:36.555973,Mark Regan,16,2,TEXT,2015-06-10 08:11:28.170990,Raymond O' Hara,8.0,1.0,2,2015-06,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P80Di1Qs2Nf1,2015-06-10 08:12:16.368951,Mark Regan,31,2,TEXT,2015-06-10 08:12:07.767761,Raymond O' Hara,8.0,1.0,2,2015-06,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P80Di4ed_Y2o,2015-06-10 08:12:42.835409,Mark Regan,86,2,TEXT,2015-06-10 08:12:17.490556,Raymond O' Hara,25.0,1.0,2,2015-06,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P80Di907-oBA,2015-06-10 08:13:18.480080,Mark Regan,38,2,TEXT,2015-06-10 08:13:18.129575,Raymond O' Hara,0.0,0.0,2,2015-06,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P80DiAeMq0yl,2015-06-10 08:13:31.951526,Mark Regan,6,2,TEXT,2015-06-10 08:13:27.130030,Raymond O' Hara,4.0,1.0,2,2015-06,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P80DiPEdZWwU,2015-06-10 08:15:31.411211,Mark Regan,116,2,TEXT,2015-06-10 08:14:57.314049,Raymond O' Hara,34.0,1.0,2,2015-06,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P80DiQa7FAv_,2015-06-10 08:15:42.480474,Mark Regan,29,2,TEXT,2015-06-10 08:15:40.816621,Raymond O' Hara,1.0,1.0,2,2015-06,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P80DiTo_MZgc,2015-06-10 08:16:08.906747,Mark Regan,55,2,TEXT,2015-06-10 08:15:57.802625,Raymond O' Hara,11.0,1.0,2,2015-06,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P80DifR_x4ap,2015-06-10 08:17:52.331563,Mark Regan,43,2,TEXT,2015-06-10 08:17:38.063377,Raymond O' Hara,14.0,1.0,2,2015-06,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P80Div9FLSFD,2015-06-10 08:20:01.056970,Mark Regan,7,2,TEXT,2015-06-10 08:19:57.305575,Raymond O' Hara,3.0,1.0,2,2015-06,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P80DjFukHpe3,2015-06-10 08:22:59.296903,Mark Regan,61,2,TEXT,2015-06-10 08:22:15.288341,Raymond O' Hara,44.0,1.0,2,2015-06,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P80DjGqH7od4,2015-06-10 08:23:06.916032,Mark Regan,7,2,TEXT,2015-06-10 08:22:59.435600,Raymond O' Hara,7.0,1.0,2,2015-06,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P80DjIo41QR-,2015-06-10 08:23:23.018344,Mark Regan,52,2,TEXT,2015-06-10 08:23:10.947882,Raymond O' Hara,12.0,1.0,2,2015-06,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P80DjMzwcCb9,2015-06-10 08:23:57.305868,Mark Regan,15,2,TEXT,2015-06-10 08:23:53.762945,Raymond O' Hara,3.0,1.0,2,2015-06,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P80DjZWtSLjB,2015-06-10 08:25:39.954078,Mark Regan,105,2,TEXT,2015-06-10 08:25:19.643682,Raymond O' Hara,20.0,1.0,2,2015-06,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P80Djiu_NkOV,2015-06-10 08:27:05.034878,Mark Regan,114,2,TEXT,2015-06-10 08:26:32.316938,Raymond O' Hara,32.0,1.0,2,2015-06,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P80DjpvldMwI,2015-06-10 08:28:02.531321,Mark Regan,33,2,TEXT,2015-06-10 08:27:59.631916,Raymond O' Hara,2.0,1.0,2,2015-06,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P80Dk4tpf4nR,2015-06-10 08:30:13.355498,Mark Regan,69,2,TEXT,2015-06-10 08:29:51.042720,Raymond O' Hara,22.0,1.0,2,2015-06,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P83aOL2wgyyQ,2015-09-02 02:27:24.409391,Mark Regan,2,2,TEXT,2015-09-02 02:27:17.496186,Raymond O' Hara,6.0,1.0,2,2015-09,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P83aOMXhhD9r,2015-09-02 02:27:36.539080,Mark Regan,9,2,TEXT,2015-09-02 02:27:27.569021,Raymond O' Hara,8.0,1.0,2,2015-09,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P83aOUJWax8P,2015-09-02 02:28:40.259531,Mark Regan,136,2,TEXT,2015-09-02 02:28:02.789459,Raymond O' Hara,37.0,1.0,2,2015-09,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P83aOy1uMjE3,2015-09-02 02:32:51.956948,Mark Regan,139,2,TEXT,2015-09-02 02:32:25.062673,Raymond O' Hara,26.0,1.0,2,2015-09,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P83aP1BjkhCp,2015-09-02 02:33:25.983229,Mark Regan,29,2,TEXT,2015-09-02 02:33:16.907620,Raymond O' Hara,9.0,1.0,2,2015-09,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P83aPDk4g-VB,2015-09-02 02:35:08.811679,Mark Regan,39,2,TEXT,2015-09-02 02:35:00.624006,Raymond O' Hara,8.0,1.0,2,2015-09,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P83aPLGLWJ7D,2015-09-02 02:36:10.413575,Mark Regan,128,2,TEXT,2015-09-02 02:35:14.176895,Raymond O' Hara,56.0,1.0,2,2015-09,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P83aPPJFVgNk,2015-09-02 02:36:43.553936,Mark Regan,7,2,TEXT,2015-09-02 02:36:19.979551,Raymond O' Hara,23.0,1.0,2,2015-09,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P83v66b0GEFu,2015-09-10 03:32:11.906797,Mark Regan,4,2,TEXT,2015-09-10 03:32:06.936063,Raymond O' Hara,4.0,1.0,3,2015-09,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P83v68EshKzX,2015-09-10 03:32:25.329470,Mark Regan,4,2,TEXT,2015-09-10 03:32:21.949786,Raymond O' Hara,3.0,1.0,3,2015-09,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P83v69P6F_sI,2015-09-10 03:32:34.830500,Mark Regan,16,2,TEXT,2015-09-10 03:32:30.201291,Raymond O' Hara,4.0,1.0,3,2015-09,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P83v6HZHJA_o,2015-09-10 03:33:41.668113,Mark Regan,87,2,TEXT,2015-09-10 03:33:40.533309,Raymond O' Hara,1.0,1.0,3,2015-09,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P83v80o4PLhT,2015-09-10 03:48:53.002745,Mark Regan,78,2,TEXT,2015-09-10 03:48:27.135111,Raymond O' Hara,25.0,1.0,3,2015-09,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P86QTMqXoz8C,2015-11-11 09:13:52.709941,Mark Regan,6,2,TEXT,2015-11-11 09:13:24.510430,Raymond O' Hara,28.0,1.0,2,2015-11,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P86QTQEFFMbf,2015-11-11 09:14:20.448669,Mark Regan,18,2,TEXT,2015-11-11 09:14:11.430972,Raymond O' Hara,9.0,1.0,2,2015-11,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P86QTZD5vkEO,2015-11-11 09:15:34.029156,Mark Regan,6,2,TEXT,2015-11-11 09:14:53.106666,Raymond O' Hara,40.0,1.0,2,2015-11,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P86QTts7QmdP,2015-11-11 09:18:31.440918,Mark Regan,48,2,TEXT,2015-11-11 09:18:17.093433,Raymond O' Hara,14.0,1.0,2,2015-11,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P86QUBGZJ6Z6,2015-11-11 09:21:02.152075,Mark Regan,113,2,TEXT,2015-11-11 09:20:15.256766,Raymond O' Hara,46.0,1.0,2,2015-11,0 +UgxQl5RRoXW9eFABmNB4AaABAQ,7-H0Z7--n0P86QUPxuuBz1,2015-11-11 09:23:02.517498,Mark Regan,31,2,TEXT,2015-11-11 09:22:17.573197,Raymond O' Hara,44.0,1.0,2,2015-11,0 +UgxTqPle42dx29sUW4d4AaABAagBl76wDw,8H0E8dbsRv78H0FQEuo7n3,2016-07-31 15:37:05.398707,Mark Regan,39,2,TEXT,2016-07-31 15:36:48.985870,Anne-Marie Farrell,16.0,1.0,6,2016-07,1 +UgxTqPle42dx29sUW4d4AaABAagBl76wDw,8H0E8dbsRv78H0FU3MHgb4,2016-07-31 15:37:36.688332,Mark Regan,21,2,TEXT,2016-07-31 15:37:25.959814,Anne-Marie Farrell,10.0,1.0,6,2016-07,1 +UgxWXVoT-QpMOp74XzZ4AaABAQ,7-H0Z7-ScCv7-H3TBORN4P,2014-12-18 04:48:24.175152,Mark Regan,25,2,TEXT,2014-12-18 04:47:36.713167,Niamh O'Donnell,47.0,1.0,3,2014-12,0 +UgxWXVoT-QpMOp74XzZ4AaABAQ,7-H0Z7-ScCv7-H42NjDDmE,2014-12-18 04:53:28.858776,Mark Regan,18,2,TEXT,2014-12-18 04:53:14.780436,Niamh O'Donnell,14.0,1.0,3,2014-12,0 +UgxZN55h4Vowjqt6ZHx4AaABAQ,80ZZ9NLYbYZ80ZZKShZc9q,2015-06-18 19:50:46.875399,Mark Regan,9,2,TEXT,2015-06-18 19:50:36.686057,Joe Gallagher,10.0,1.0,3,2015-06,0 +UgxZN55h4Vowjqt6ZHx4AaABAQ,80ZZ9NLYbYZ80ugiU_mpvq,2015-06-27 10:07:23.723454,Mark Regan,2,2,TEXT,2015-06-27 10:07:18.569011,Joe Gallagher,5.0,1.0,5,2015-06,1 +UgxZN55h4Vowjqt6ZHx4AaABAQ,80ZZ9NLYbYZ80uguGRXgoO,2015-06-27 10:09:00.217616,Mark Regan,24,2,TEXT,2015-06-27 10:08:17.818329,Joe Gallagher,42.0,1.0,5,2015-06,1 +UgxZN55h4Vowjqt6ZHx4AaABAQ,80ZZ9NLYbYZ80ugxns8XBN,2015-06-27 10:09:29.200848,Mark Regan,6,2,TEXT,2015-06-27 10:09:19.648065,Joe Gallagher,9.0,1.0,5,2015-06,1 +UgxZN55h4Vowjqt6ZHx4AaABAQ,80ZZ9NLYbYZ80uh27_MrX-,2015-06-27 10:10:12.810914,Mark Regan,54,2,TEXT,2015-06-27 10:09:51.703318,Joe Gallagher,21.0,1.0,5,2015-06,1 +UgxZN55h4Vowjqt6ZHx4AaABAQ,80ZZ9NLYbYZ80uhDtzrxKX,2015-06-27 10:11:49.247277,Mark Regan,75,2,TEXT,2015-06-27 10:11:17.479736,Joe Gallagher,31.0,1.0,5,2015-06,1 +UgxZN55h4Vowjqt6ZHx4AaABAQ,80ZZ9NLYbYZ80uhJOwsslQ,2015-06-27 10:12:34.297781,Mark Regan,55,2,TEXT,2015-06-27 10:12:11.024755,Joe Gallagher,23.0,1.0,5,2015-06,1 +UgxZN55h4Vowjqt6ZHx4AaABAQ,80ZZ9NLYbYZ80uhZP3VBvx,2015-06-27 10:14:45.385423,Mark Regan,21,2,TEXT,2015-06-27 10:14:33.907937,Joe Gallagher,11.0,1.0,5,2015-06,1 +UgxgUh76-QZsdwu_tWp4AaABAQ,7-H0Z7-K_lV7IUI2IT_mjm,2014-09-17 16:04:51.254255,Mark Regan,33,2,TEXT,2014-09-17 16:04:32.704263,Delia Lowery,18.0,1.0,2,2014-09,0 +UgxgUh76-QZsdwu_tWp4AaABAQ,7-H0Z7-K_lV83HlmziSB7u,2015-08-25 11:36:15.707997,Mark Regan,10,2,TEXT,2015-08-25 11:36:05.680546,Delia Lowery,10.0,1.0,1,2015-08,0 +UgxgUh76-QZsdwu_tWp4AaABAQ,7-H0Z7-K_lV83HlpecfwXt,2015-08-25 11:36:37.585241,Mark Regan,50,2,TEXT,2015-08-25 11:36:23.968122,Delia Lowery,13.0,1.0,1,2015-08,0 +UgxgUh76-QZsdwu_tWp4AaABAQ,7-H0Z7-K_lV83Hlwnwn6pC,2015-08-25 11:37:36.121811,Mark Regan,39,2,TEXT,2015-08-25 11:37:33.595926,Delia Lowery,2.0,1.0,1,2015-08,0 +UgxgUh76-QZsdwu_tWp4AaABAQ,7-H0Z7-K_lV83Hm5sYFSdk,2015-08-25 11:38:58.630965,Mark Regan,9,2,TEXT,2015-08-25 11:38:03.228443,Delia Lowery,55.0,1.0,1,2015-08,0 +UgxgUh76-QZsdwu_tWp4AaABAQ,7-H0Z7-K_lV83HmGnD5UtH,2015-08-25 11:40:28.060142,Mark Regan,50,2,TEXT,2015-08-25 11:40:11.480953,Delia Lowery,16.0,1.0,1,2015-08,0 +UgxgUh76-QZsdwu_tWp4AaABAQ,7-H0Z7-K_lV83HmVfWK2aL,2015-08-25 11:42:29.954593,Mark Regan,10,2,TEXT,2015-08-25 11:42:23.622547,Delia Lowery,6.0,1.0,1,2015-08,0 +UgxgUh76-QZsdwu_tWp4AaABAQ,7-H0Z7-K_lV83Hn8SOLHAV,2015-08-25 11:48:04.018764,Mark Regan,7,2,TEXT,2015-08-25 11:47:53.069578,Delia Lowery,10.0,1.0,1,2015-08,0 +UgxgUh76-QZsdwu_tWp4AaABAQ,7-H0Z7-K_lV83HnJdKjd80,2015-08-25 11:49:35.659680,Mark Regan,72,2,TEXT,2015-08-25 11:49:09.923961,Delia Lowery,25.0,1.0,1,2015-08,0 +UgxljLBuy0t3xRHyJ0d4AaABAQ,7-H0Z7-Alj37-dGCBEPmtt,2013-06-20 20:21:48.535697,Mark Regan,4,2,TEXT,2013-06-20 20:21:41.980580,Diogo Ribeiro,6.0,1.0,3,2013-06,0 +UgxljLBuy0t3xRHyJ0d4AaABAQ,7-H0Z7-Alj37-dGCrwth97,2013-06-20 20:21:54.131594,Mark Regan,27,2,TEXT,2013-06-20 20:21:49.299702,Diogo Ribeiro,4.0,1.0,3,2013-06,0 +UgxljLBuy0t3xRHyJ0d4AaABAQ,7-H0Z7-Alj37-dGFH5TM2N,2013-06-20 20:22:13.862569,Mark Regan,4,2,TEXT,2013-06-20 20:22:03.353261,Diogo Ribeiro,10.0,1.0,3,2013-06,0 +UgxljLBuy0t3xRHyJ0d4AaABAQ,7-H0Z7-Alj37-dGKLvDRGl,2013-06-20 20:22:55.440055,Mark Regan,50,2,TEXT,2013-06-20 20:22:35.429293,Diogo Ribeiro,20.0,1.0,3,2013-06,0 +UgxljLBuy0t3xRHyJ0d4AaABAQ,7-H0Z7-Alj371i9bKBGv_5,2013-08-11 11:03:12.114004,Mark Regan,11,2,TEXT,2013-08-11 11:02:22.703217,Diogo Ribeiro,49.0,1.0,6,2013-08,1 +UgxljLBuy0t3xRHyJ0d4AaABAQ,7-H0Z7-Alj371i9ko9vbXl,2013-08-11 11:04:29.807431,Mark Regan,2,2,TEXT,2013-08-11 11:04:02.566713,Diogo Ribeiro,27.0,1.0,6,2013-08,1 +UgxljLBuy0t3xRHyJ0d4AaABAQ,7-H0Z7-Alj371i9sYKT52V,2013-08-11 11:05:33.188607,Mark Regan,73,2,TEXT,2013-08-11 11:04:39.865300,Diogo Ribeiro,53.0,1.0,6,2013-08,1 +UgxljLBuy0t3xRHyJ0d4AaABAQ,7-H0Z7-Alj371i9yrynJWO,2013-08-11 11:06:24.983630,Mark Regan,19,2,TEXT,2013-08-11 11:06:23.131499,Diogo Ribeiro,1.0,1.0,6,2013-08,1 +UgxljLBuy0t3xRHyJ0d4AaABAQ,7-H0Z7-Alj373juVI651fg,2013-09-30 20:23:42.056121,Mark Regan,7,2,TEXT,2013-09-30 20:23:22.336126,Diogo Ribeiro,19.0,1.0,0,2013-09,0 +UgxljLBuy0t3xRHyJ0d4AaABAQ,7-H0Z7-Alj373juZzBEA_a,2013-09-30 20:24:20.465698,Mark Regan,57,2,TEXT,2013-09-30 20:23:55.033282,Diogo Ribeiro,25.0,1.0,0,2013-09,0 +UgxljLBuy0t3xRHyJ0d4AaABAQ,7-H0Z7-Alj373judyItiuG,2013-09-30 20:25:01.313218,Mark Regan,34,2,TEXT,2013-09-30 20:24:52.753653,Diogo Ribeiro,8.0,1.0,0,2013-09,0 +UgxljLBuy0t3xRHyJ0d4AaABAQ,7-H0Z7-Alj373juhVHLxGG,2013-09-30 20:25:30.238117,Mark Regan,35,2,TEXT,2013-09-30 20:25:18.087812,Diogo Ribeiro,12.0,1.0,0,2013-09,0 +UgxljLBuy0t3xRHyJ0d4AaABAQ,7-H0Z7-Alj373jujeiqN1G,2013-09-30 20:25:47.959581,Mark Regan,25,2,TEXT,2013-09-30 20:25:37.127105,Diogo Ribeiro,10.0,1.0,0,2013-09,0 +UgxljLBuy0t3xRHyJ0d4AaABAQ,7-H0Z7-Alj373jupR9OGB6,2013-09-30 20:26:35.246419,Mark Regan,13,2,TEXT,2013-09-30 20:26:03.303366,Diogo Ribeiro,31.0,1.0,0,2013-09,0 +UgxljLBuy0t3xRHyJ0d4AaABAQ,7-H0Z7-Alj373jv-oohanB,2013-09-30 20:28:08.515396,Mark Regan,2,2,TEXT,2013-09-30 20:27:44.306539,Diogo Ribeiro,24.0,1.0,0,2013-09,0 +UgxljLBuy0t3xRHyJ0d4AaABAQ,7-H0Z7-Alj378RPxUAMV_q,2014-01-25 12:19:27.984070,Mark Regan,5,2,TEXT,2014-01-25 12:19:10.189750,Diogo Ribeiro,17.0,1.0,5,2014-01,1 +Ugxn8r_pRc4pim7Q4IN4AaABAQ,7-H0Z7-9PwS76H-9M1Gjdj,2014-10-02 19:59:56.057872,Mark Regan,52,2,TEXT,2014-10-02 19:59:21.007063,Yigit Ihlamur,35.0,1.0,3,2014-10,0 +Ugxn8r_pRc4pim7Q4IN4AaABAQ,7-H0Z7-9PwS76H-JVfb1Qd,2014-10-02 20:01:19.212549,Mark Regan,1,2,TEXT,2014-10-02 20:00:48.750722,Yigit Ihlamur,30.0,1.0,3,2014-10,0 +UgxpScy_KNuh_-GF18V4AaABAQ,7-H0Z7-E9ur8-udBBWEVxY,2015-06-02 13:05:06.242974,Mark Regan,31,2,TEXT,2015-06-02 13:05:05.504593,Patrick Walsh,0.0,0.0,1,2015-06,0 +UgxpScy_KNuh_-GF18V4AaABAQ,7-H0Z7-E9ur8-udCYf96kt,2015-06-02 13:05:17.398088,Mark Regan,15,2,TEXT,2015-06-02 13:05:15.708033,Patrick Walsh,1.0,1.0,1,2015-06,0 +UgxpScy_KNuh_-GF18V4AaABAQ,7-H0Z7-E9ur814YSJIBPU3,2015-07-01 15:18:03.174141,Mark Regan,12,2,TEXT,2015-07-01 15:17:07.743020,Patrick Walsh,55.0,1.0,2,2015-07,0 +UgxpScy_KNuh_-GF18V4AaABAQ,7-H0Z7-E9ur814Ye3finCk,2015-07-01 15:19:47.671817,Mark Regan,69,2,TEXT,2015-07-01 15:19:09.015322,Patrick Walsh,38.0,1.0,2,2015-07,0 +UgxpScy_KNuh_-GF18V4AaABAQ,7-H0Z7-E9ur814YoOIebXG,2015-07-01 15:21:12.231917,Mark Regan,57,2,TEXT,2015-07-01 15:21:11.655529,Patrick Walsh,0.0,0.0,2,2015-07,0 +UgxpScy_KNuh_-GF18V4AaABAQ,7-H0Z7-E9ur814Yssgibiv,2015-07-01 15:21:49.017067,Mark Regan,7,2,TEXT,2015-07-01 15:21:34.216483,Patrick Walsh,14.0,1.0,2,2015-07,0 +UgxpScy_KNuh_-GF18V4AaABAQ,7-H0Z7-E9ur814YvAkl5JM,2015-07-01 15:22:07.841144,Mark Regan,52,2,TEXT,2015-07-01 15:21:50.855381,Patrick Walsh,16.0,1.0,2,2015-07,0 +UgxpScy_KNuh_-GF18V4AaABAQ,7-H0Z7-E9ur814ZfdBy20V,2015-07-01 15:28:44.825667,Mark Regan,32,2,TEXT,2015-07-01 15:28:38.036588,Patrick Walsh,6.0,1.0,2,2015-07,0 +UgxpScy_KNuh_-GF18V4AaABAQ,7-H0Z7-E9ur814ZoZCbVda,2015-07-01 15:29:57.915884,Mark Regan,11,2,TEXT,2015-07-01 15:29:32.688663,Patrick Walsh,25.0,1.0,2,2015-07,0 +UgxpScy_KNuh_-GF18V4AaABAQ,7-H0Z7-E9ur814_Ee_sqeW,2015-07-01 15:33:39.915742,Mark Regan,133,2,TEXT,2015-07-01 15:32:48.554355,Patrick Walsh,51.0,1.0,2,2015-07,0 +UgxpScy_KNuh_-GF18V4AaABAQ,7-H0Z7-E9ur814a-Ps3ucf,2015-07-01 15:40:19.312842,Mark Regan,24,2,TEXT,2015-07-01 15:39:59.442162,Patrick Walsh,19.0,1.0,2,2015-07,0 +UgxpScy_KNuh_-GF18V4AaABAQ,7-H0Z7-E9ur8DOOKw1oRus,2016-05-02 14:31:12.261762,Mark Regan,11,2,TEXT,2016-05-02 14:30:49.148574,Patrick Walsh,23.0,1.0,0,2016-05,0 +UgxpScy_KNuh_-GF18V4AaABAQ,7-H0Z7-E9ur8DOOca2G_hf,2016-05-02 14:33:45.095222,Mark Regan,31,2,TEXT,2016-05-02 14:33:43.695705,Patrick Walsh,1.0,1.0,0,2016-05,0 +UgxpScy_KNuh_-GF18V4AaABAQ,7-H0Z7-E9ur8DOOg2u_49N,2016-05-02 14:34:13.493733,Mark Regan,21,2,TEXT,2016-05-02 14:34:03.334980,Patrick Walsh,10.0,1.0,0,2016-05,0 +UgxpScy_KNuh_-GF18V4AaABAQ,7-H0Z7-E9ur8DOP8Pnjxwn,2016-05-02 14:38:13.992097,Mark Regan,107,2,TEXT,2016-05-02 14:37:39.182046,Patrick Walsh,34.0,1.0,0,2016-05,0 +UgxpScy_KNuh_-GF18V4AaABAQ,7-H0Z7-E9ur8DOPYhATz7P,2016-05-02 14:41:49.334624,Mark Regan,43,2,TEXT,2016-05-02 14:41:06.453398,Patrick Walsh,42.0,1.0,0,2016-05,0 +UgxpScy_KNuh_-GF18V4AaABAQ,7-H0Z7-E9ur8DOPui88dal,2016-05-02 14:44:57.874771,Mark Regan,34,2,TEXT,2016-05-02 14:44:38.783352,Patrick Walsh,19.0,1.0,0,2016-05,0 +UgxpScy_KNuh_-GF18V4AaABAQ,7-H0Z7-E9ur8FdIi3LjUBX,2016-06-27 11:52:42.414414,Mark Regan,11,2,TEXT,2016-06-27 11:52:34.127043,Patrick Walsh,8.0,1.0,0,2016-06,0 +UgxpScy_KNuh_-GF18V4AaABAQ,7-H0Z7-E9ur8FdIjoCcTo7,2016-06-27 11:52:56.731836,Mark Regan,34,2,TEXT,2016-06-27 11:52:49.154622,Patrick Walsh,7.0,1.0,0,2016-06,0 +UgxpScy_KNuh_-GF18V4AaABAQ,7-H0Z7-E9ur8FdJC5amIT5,2016-06-27 11:56:56.655538,Mark Regan,25,2,TEXT,2016-06-27 11:56:45.728163,Patrick Walsh,10.0,1.0,0,2016-06,0 +UgxpScy_KNuh_-GF18V4AaABAQ,7-H0Z7-E9ur8FdJKrCsMNv,2016-06-27 11:58:08.412039,Mark Regan,10,2,TEXT,2016-06-27 11:57:58.000119,Patrick Walsh,10.0,1.0,0,2016-06,0 +UgxpScy_KNuh_-GF18V4AaABAQ,7-H0Z7-E9ur8FdK1aheRiU,2016-06-27 12:04:14.941985,Mark Regan,3,2,TEXT,2016-06-27 12:04:00.731431,Patrick Walsh,14.0,1.0,0,2016-06,0 +UgxpScy_KNuh_-GF18V4AaABAQ,7-H0Z7-E9ur8FdK5vr8mPz,2016-06-27 12:04:50.414481,Mark Regan,24,2,TEXT,2016-06-27 12:04:37.254314,Patrick Walsh,13.0,1.0,0,2016-06,0 +UgxpScy_KNuh_-GF18V4AaABAQ,7-H0Z7-E9ur8FdKHe1PG0r,2016-06-27 12:06:26.436755,Mark Regan,45,2,TEXT,2016-06-27 12:05:50.771449,Patrick Walsh,35.0,1.0,0,2016-06,0 +Ugxs932onJNvVdGwUWB4AaABAQ,7-H0Z7--pFm7-H0tg6QSGQ,2014-08-13 07:18:32.365531,Mark Regan,22,2,TEXT,2014-08-13 07:18:30.057024,Paul Mullin,2.0,1.0,2,2014-08,0 +Ugxs932onJNvVdGwUWB4AaABAQ,7-H0Z7--pFm7-H10Rz1K--,2014-08-13 07:19:35.965618,Mark Regan,77,2,TEXT,2014-08-13 07:19:13.863265,Paul Mullin,22.0,1.0,2,2014-08,0 +Ugxs932onJNvVdGwUWB4AaABAQ,7-H0Z7--pFm7-H16uo5zYC,2014-08-13 07:20:28.936398,Mark Regan,2,2,TEXT,2014-08-13 07:20:13.965916,Paul Mullin,14.0,1.0,2,2014-08,0 +UgxwIvrwp8CaNAtEOD14AaABAQ,84s2G_1_39784s2Kp2ITYD,2015-10-03 19:32:51.590223,Mark Regan,15,2,TEXT,2015-10-03 19:32:26.097832,Lasse Wassermann,25.0,1.0,5,2015-10,1 +UgxwIvrwp8CaNAtEOD14AaABAQ,84s2G_1_3978504vec3bHl,2015-10-07 07:48:40.016097,Mark Regan,33,2,TEXT,2015-10-07 07:48:24.947824,Lasse Wassermann,15.0,1.0,2,2015-10,0 +UgxwIvrwp8CaNAtEOD14AaABAQ,84s2G_1_39785050e1KXiJ,2015-10-07 07:49:29.092545,Mark Regan,40,2,TEXT,2015-10-07 07:48:43.047643,Lasse Wassermann,46.0,1.0,2,2015-10,0 +UgxwIvrwp8CaNAtEOD14AaABAQ,84s2G_1_39785055_OY7Me,2015-10-07 07:50:09.459760,Mark Regan,47,2,TEXT,2015-10-07 07:49:55.723513,Lasse Wassermann,13.0,1.0,2,2015-10,0 +UgxwIvrwp8CaNAtEOD14AaABAQ,84s2G_1_39786-Ipv1LbVi,2015-10-31 21:02:22.212770,Mark Regan,4,2,TEXT,2015-10-31 21:02:18.058575,Lasse Wassermann,4.0,1.0,5,2015-10,1 +Ugy57QUyfbAP53nJEbh4AaABAQ,7-H0Z7-ODkv70CN-1UJMRc,2014-06-10 13:44:21.765267,Mark Regan,57,4,TEXT,2014-06-10 13:43:58.235057,Eileen Regan,23.0,1.0,1,2014-06,0 +Ugy57QUyfbAP53nJEbh4AaABAQ,7-H0Z7-ODkv70CN7KMz77Y,2014-06-10 13:45:29.717593,Mark Regan,16,4,TEXT,2014-06-10 13:45:19.629308,Eileen Regan,10.0,1.0,1,2014-06,0 +Ugy57QUyfbAP53nJEbh4AaABAQ,7-H0Z7-ODkv70CNJTIduPA,2014-06-10 13:47:09.166087,Mark Regan,15,4,TEXT,2014-06-10 13:46:55.966909,Louise Regan,13.0,1.0,1,2014-06,0 +Ugy57QUyfbAP53nJEbh4AaABAQ,7-H0Z7-ODkv70CNMyXT9PK,2014-06-10 13:47:37.866585,Mark Regan,32,4,TEXT,2014-06-10 13:47:24.549234,Louise Regan,13.0,1.0,1,2014-06,0 +Ugy57QUyfbAP53nJEbh4AaABAQ,7-H0Z7-ODkv70CNNpustJ8,2014-06-10 13:47:44.955849,Mark Regan,25,4,TEXT,2014-06-10 13:47:41.542751,Louise Regan,3.0,1.0,1,2014-06,0 +Ugy57QUyfbAP53nJEbh4AaABAQ,7-H0Z7-ODkv70CNVEV5blN,2014-06-10 13:48:45.575322,Mark Regan,43,4,TEXT,2014-06-10 13:48:27.138737,Louise Regan,18.0,1.0,1,2014-06,0 +Ugy57QUyfbAP53nJEbh4AaABAQ,7-H0Z7-ODkv70CNaPF5gvU,2014-06-10 13:49:36.102784,Mark Regan,41,4,TEXT,2014-06-10 13:49:16.923540,Louise Regan,19.0,1.0,1,2014-06,0 +Ugy57QUyfbAP53nJEbh4AaABAQ,7-H0Z7-ODkv70CNfr4AULX,2014-06-10 13:50:20.753389,Mark Regan,17,4,TEXT,2014-06-10 13:50:14.347016,Louise Regan,6.0,1.0,1,2014-06,0 +Ugy57QUyfbAP53nJEbh4AaABAQ,7-H0Z7-ODkv70CNms4J1kX,2014-06-10 13:51:18.225206,Mark Regan,37,4,TEXT,2014-06-10 13:51:06.933535,Louise Regan,11.0,1.0,1,2014-06,0 +UgyC4e0B7ViOpR9zEch4AaABAQ,7-H0Z7-Q0zZ7-iqfMSRg9a,2013-05-28 10:56:49.077786,Mark Regan,4,2,TEXT,2013-05-28 10:56:15.804694,pwalsh@paymins.com,33.0,1.0,1,2013-05,0 +UgyC4e0B7ViOpR9zEch4AaABAQ,7-H0Z7-Q0zZ7-iqsfd5KjX,2013-05-28 10:58:38.157390,Mark Regan,44,2,TEXT,2013-05-28 10:58:14.211223,pwalsh@paymins.com,23.0,1.0,1,2013-05,0 +UgyC4e0B7ViOpR9zEch4AaABAQ,7-H0Z7-Q0zZ7-ir1Io-OF5,2013-05-28 10:59:57.027141,Mark Regan,36,2,TEXT,2013-05-28 10:59:44.984516,pwalsh@paymins.com,12.0,1.0,1,2013-05,0 +UgyC4e0B7ViOpR9zEch4AaABAQ,7-H0Z7-Q0zZ7-irXCseyao,2013-05-28 11:04:18.412237,Mark Regan,39,2,TEXT,2013-05-28 11:03:54.433086,pwalsh@paymins.com,23.0,1.0,1,2013-05,0 +UgyC4e0B7ViOpR9zEch4AaABAQ,7-H0Z7-Q0zZ76il5WgxF0U,2013-11-18 08:47:51.380926,Mark Regan,20,2,TEXT,2013-11-18 08:47:26.929609,pwalsh@paymins.com,24.0,1.0,0,2013-11,0 +UgyC4e0B7ViOpR9zEch4AaABAQ,7-H0Z7-Q0zZ76ilHqgBI5_,2013-11-18 08:49:32.371553,Mark Regan,12,2,TEXT,2013-11-18 08:49:12.938578,pwalsh@paymins.com,19.0,1.0,0,2013-11,0 +UgyC4e0B7ViOpR9zEch4AaABAQ,7-H0Z7-Q0zZ7Ai1dxLmsH4,2014-02-25 12:07:34.696369,Mark Regan,15,2,TEXT,2014-02-25 12:06:35.895054,pwalsh@paymins.com,58.0,1.0,1,2014-02,0 +UgyC4e0B7ViOpR9zEch4AaABAQ,7-H0Z7-Q0zZ7Ai1k-2_Iyl,2014-02-25 12:08:24.194321,Mark Regan,29,2,TEXT,2014-02-25 12:07:56.566944,pwalsh@paymins.com,27.0,1.0,1,2014-02,0 +UgyC4e0B7ViOpR9zEch4AaABAQ,7-H0Z7-Q0zZ7Ai1l6DXg6S,2014-02-25 12:08:33.304137,Mark Regan,19,2,TEXT,2014-02-25 12:08:28.112095,pwalsh@paymins.com,5.0,1.0,1,2014-02,0 +UgyDs6u_XqaAT-3S5Mp4AaABAQ,7-H0Z7-O_or70aXR67jHyN,2013-09-12 07:42:10.539357,Mark Regan,40,4,TEXT,2013-09-12 07:41:51.731004,Eileen Regan,18.0,1.0,3,2013-09,0 +UgyDs6u_XqaAT-3S5Mp4AaABAQ,7-H0Z7-O_or70aXZnI2vmE,2013-09-12 07:43:21.728359,Mark Regan,65,4,TEXT,2013-09-12 07:42:53.652944,Eileen Regan,28.0,1.0,3,2013-09,0 +UgyL6WtR9nNBcsqa-Fl4AaABAagB3ItB,8ID6aoLwzpI8IrKati1wYd,2016-09-15 12:12:45.278135,Mark Regan,57,2,TEXT,2016-09-15 12:12:21.831636,Red Wolves Gaming,23.0,1.0,3,2016-09,0 +UgyL6WtR9nNBcsqa-Fl4AaABAagB3ItB,8ID6aoLwzpI8Nds-gmCWeZ,2017-01-12 12:20:58.596753,Mark Regan,4,2,TEXT,2017-01-12 12:20:48.310506,Red Wolves Gaming,10.0,1.0,3,2017-01,0 +UgyL6WtR9nNBcsqa-Fl4AaABAagB3ItB,8ID6aoLwzpI8OFSdvXsvL6,2017-01-27 12:01:03.431712,Mark Regan,10,2,TEXT,2017-01-27 12:00:32.913741,Red Wolves Gaming,30.0,1.0,4,2017-01,0 +UgyTo-_VjBjWvPUwarF4AaABAQ,7-H0Z7-SB6y74xRsqKXYtS,2013-11-03 12:10:10.456959,Mark Regan,2,2,TEXT,2013-11-03 12:09:35.981234,Eileen Regan,34.0,1.0,6,2013-11,1 +UgyTo-_VjBjWvPUwarF4AaABAQ,7-H0Z7-SB6y780ET2s7lh8,2014-01-18 13:04:03.934056,Mark Regan,8,2,TEXT,2014-01-18 13:03:57.681024,Eileen Regan,6.0,1.0,5,2014-01,1 +UgyTo-_VjBjWvPUwarF4AaABAQ,7-H0Z7-SB6y78UYqphHQZ7,2014-01-30 07:39:25.640137,Mark Regan,7,2,TEXT,2014-01-30 07:39:11.682385,Eileen Regan,13.0,1.0,3,2014-01,0 +UgyTo-_VjBjWvPUwarF4AaABAQ,7-H0Z7-SB6y78UYzbb5W84,2014-01-30 07:40:37.564214,Mark Regan,27,2,TEXT,2014-01-30 07:40:15.152341,Eileen Regan,22.0,1.0,3,2014-01,0 +UgyTo-_VjBjWvPUwarF4AaABAQ,7-H0Z7-SB6y78UZDrttkdF,2014-01-30 07:42:42.529316,Mark Regan,10,2,TEXT,2014-01-30 07:42:23.436426,Eileen Regan,19.0,1.0,3,2014-01,0 +UgyTo-_VjBjWvPUwarF4AaABAQ,7-H0Z7-SB6y78weV1gayI1,2014-02-10 14:55:27.431717,Mark Regan,8,2,TEXT,2014-02-10 14:55:10.291452,Eileen Regan,17.0,1.0,0,2014-02,0 +UgyTo-_VjBjWvPUwarF4AaABAQ,7-H0Z7-SB6y7BcvLLiWqiE,2014-04-18 13:32:03.275359,Mark Regan,5,2,TEXT,2014-04-18 13:31:50.003101,Eileen Regan,13.0,1.0,4,2014-04,0 +UgyTo-_VjBjWvPUwarF4AaABAQ,7-H0Z7-SB6y83HGIYuAVLy,2015-08-25 06:52:20.980558,Mark Regan,198,2,TEXT,2015-08-25 06:52:04.313557,Eileen Regan,16.0,1.0,1,2015-08,0 +UgyTo-_VjBjWvPUwarF4AaABAQ,7-H0Z7-SB6y83HGV5acAfE,2015-08-25 06:54:03.725463,Mark Regan,123,2,TEXT,2015-08-25 06:53:19.516179,Eileen Regan,44.0,1.0,1,2015-08,0 +UgyTo-_VjBjWvPUwarF4AaABAQ,7-H0Z7-SB6y83HGdF0WRle,2015-08-25 06:55:18.659459,Mark Regan,71,2,TEXT,2015-08-25 06:54:51.529688,Eileen Regan,27.0,1.0,1,2015-08,0 +UgyTo-_VjBjWvPUwarF4AaABAQ,7-H0Z7-SB6y83HH3VKk4b5,2015-08-25 06:59:01.931556,Mark Regan,8,2,TEXT,2015-08-25 06:58:21.290440,Eileen Regan,40.0,1.0,1,2015-08,0 +UgyTo-_VjBjWvPUwarF4AaABAQ,7-H0Z7-SB6y8CG2O7k-KGg,2016-04-04 12:14:05.026112,Mark Regan,42,2,TEXT,2016-04-04 12:13:21.076155,Eileen Regan,43.0,1.0,0,2016-04,0 +UgyTo-_VjBjWvPUwarF4AaABAQ,7-H0Z7-SB6y8D0vMoJCmoD,2016-04-23 11:46:47.080705,Mark Regan,5,2,TEXT,2016-04-23 11:46:35.776330,Eileen Regan,11.0,1.0,5,2016-04,1 +UgyTo-_VjBjWvPUwarF4AaABAQ,7-H0Z7-SB6y8FdmvFdDpaN,2016-06-27 16:25:23.411482,Mark Regan,8,2,TEXT,2016-06-27 16:25:13.182244,Eileen Regan,10.0,1.0,0,2016-06,0 +UgyTo-_VjBjWvPUwarF4AaABAQ,7-H0Z7-SB6y8FdnB973wjk,2016-06-27 16:27:41.841452,Mark Regan,112,2,TEXT,2016-06-27 16:26:46.738080,Eileen Regan,55.0,1.0,0,2016-06,0 +UgyTo-_VjBjWvPUwarF4AaABAQ,7-H0Z7-SB6y8FdnQFYeWBs,2016-06-27 16:29:45.544267,Mark Regan,10,2,TEXT,2016-06-27 16:28:57.823175,Eileen Regan,47.0,1.0,0,2016-06,0 +UgyTo-_VjBjWvPUwarF4AaABAQ,7-H0Z7-SB6y8HqgbBcab_q,2016-08-21 09:43:08.242084,Mark Regan,26,2,TEXT,2016-08-21 09:42:10.961198,Eileen Regan,57.0,1.0,6,2016-08,1 +UgyTo-_VjBjWvPUwarF4AaABAQ,7-H0Z7-SB6y8HqgiIjkiQE,2016-08-21 09:44:06.495814,Mark Regan,4,2,TEXT,2016-08-21 09:43:55.872703,Eileen Regan,10.0,1.0,6,2016-08,1 +UgyW7UCPHm9O1QsmB1V4AaABAQ,8G9TRImG4oz8GByqQZtM94,2016-07-11 08:23:00.426949,Mark Regan,48,4,TEXT,2016-07-11 08:22:37.211366,Louise Regan,23.0,1.0,0,2016-07,0 +UgyW7UCPHm9O1QsmB1V4AaABAQ,8G9TRImG4oz8GByvEvDFra,2016-07-11 08:23:39.896915,Mark Regan,8,4,TEXT,2016-07-11 08:23:37.861508,Louise Regan,2.0,1.0,0,2016-07,0 +UgyW7UCPHm9O1QsmB1V4AaABAQ,8G9TRImG4oz8GC1hIVuqH1,2016-07-11 08:56:42.819065,Mark Regan,17,4,TEXT,2016-07-11 08:56:24.331951,Eileen Regan,18.0,1.0,0,2016-07,0 +UgyiX70mYXXhDdU3F_x4AaABAQ,7-H0Z7-MfQT7-H3dA1-liJ,2014-12-18 04:49:36.732143,Mark Regan,102,3,TEXT,2014-12-18 04:49:09.505170,John Lunney,27.0,1.0,3,2014-12,0 +UgyiX70mYXXhDdU3F_x4AaABAQ,7-H0Z7-MfQT7-H3hFIGKGW,2014-12-18 04:50:10.174158,Mark Regan,4,3,TEXT,2014-12-18 04:49:46.013229,John Lunney,24.0,1.0,3,2014-12,0 +UgylVAmbgrDKLBNIBYJ4AaABAQ,8B582O_oYMc8B5AqjztT3g,2016-03-06 09:24:59.520948,Mark Regan,2,4,TEXT,2016-03-06 09:24:55.133617,Louise Regan,4.0,1.0,6,2016-03,1 +Ugyo2_ArMaAY55bsggZ4AaABAQ,7-H0Z7-3Znr7-HJ9PrVbsZ,2013-09-05 14:53:35.041171,Mark Regan,29,2,TEXT,2013-09-05 14:53:17.189063,Louise Regan,17.0,1.0,3,2013-09,0 +Ugyo2_ArMaAY55bsggZ4AaABAQ,7-H0Z7-3Znr7-HJCS26-yi,2013-09-05 14:53:59.896763,Mark Regan,6,2,TEXT,2013-09-05 14:53:51.125380,Louise Regan,8.0,1.0,3,2013-09,0 +Ugyo2_ArMaAY55bsggZ4AaABAQ,7-H0Z7-3Znr7-HJL4n75wb,2013-09-05 14:55:10.648098,Mark Regan,2,2,TEXT,2013-09-05 14:54:37.368712,Louise Regan,33.0,1.0,3,2013-09,0 +Ugyo2_ArMaAY55bsggZ4AaABAQ,7-H0Z7-3Znr7-HJWeoxrMr,2013-09-05 14:56:45.499953,Mark Regan,10,2,TEXT,2013-09-05 14:56:18.966887,Louise Regan,26.0,1.0,3,2013-09,0 +Ugyo2_ArMaAY55bsggZ4AaABAQ,7-H0Z7-3Znr74hmSfUkOXf,2014-01-18 12:34:49.362033,Mark Regan,50,2,TEXT,2014-01-18 12:34:30.814364,Louise Regan,18.0,1.0,5,2014-01,1 +Ugyo2_ArMaAY55bsggZ4AaABAQ,7-H0Z7-3Znr7IQEDVkpSIb,2014-12-25 07:00:06.323969,Mark Regan,10,2,TEXT,2014-12-25 06:59:55.852880,Louise Regan,10.0,1.0,3,2014-12,0 +Ugyo2_ArMaAY55bsggZ4AaABAQ,7-H0Z7-3Znr7IQWbo2Zv5F,2014-12-25 09:40:50.777108,Mark Regan,13,2,TEXT,2014-12-25 09:40:40.653838,Louise Regan,10.0,1.0,3,2014-12,0 +Ugyo2_ArMaAY55bsggZ4AaABAQ,7-H0Z7-3Znr7IQX06JrC7L,2014-12-25 09:44:18.043676,Mark Regan,3,2,TEXT,2014-12-25 09:44:11.396276,Louise Regan,6.0,1.0,3,2014-12,0 +Ugyo2_ArMaAY55bsggZ4AaABAQ,7-H0Z7-3Znr7z0V6kRR0cb,2015-04-16 11:57:45.016584,Mark Regan,30,2,TEXT,2015-04-16 11:57:16.542699,Louise Regan,28.0,1.0,3,2015-04,0 +UgyrVfM5PORmDYM9PJV4AaABAQ,7-H0Z7-4qLw71UjwncfQs-,2013-11-05 12:03:53.745668,Mark Regan,26,2,TEXT,2013-11-05 12:03:47.246961,105286173748776452656,6.0,1.0,1,2013-11,0 +UgyrVfM5PORmDYM9PJV4AaABAQ,7-H0Z7-4qLw71Uk-iJ8j3O,2013-11-05 12:04:25.831797,Mark Regan,13,2,TEXT,2013-11-05 12:04:13.193881,105286173748776452656,12.0,1.0,1,2013-11,0 +UgyrVfM5PORmDYM9PJV4AaABAQ,7-H0Z7-4qLw7GUhMSKY090,2014-11-13 07:32:13.931661,Mark Regan,27,2,TEXT,2014-11-13 07:32:01.407549,105286173748776452656,12.0,1.0,3,2014-11,0 +UgyrVfM5PORmDYM9PJV4AaABAQ,7-H0Z7-4qLw7GUhenimQHI,2014-11-13 07:34:52.444830,Mark Regan,145,2,TEXT,2014-11-13 07:34:06.437014,105286173748776452656,46.0,1.0,3,2014-11,0 +UgyrVfM5PORmDYM9PJV4AaABAQ,7-H0Z7-4qLw7Hm1oWipzBt,2014-12-15 06:57:25.533432,Mark Regan,4,2,TEXT,2014-12-15 06:57:20.843075,105286173748776452656,4.0,1.0,0,2014-12,0 +UgyrVfM5PORmDYM9PJV4AaABAQ,7-H0Z7-4qLw7Hm1qWluO0G,2014-12-15 06:57:41.922900,Mark Regan,29,2,TEXT,2014-12-15 06:57:30.702715,105286173748776452656,11.0,1.0,0,2014-12,0 +UgyrVfM5PORmDYM9PJV4AaABAQ,7-H0Z7-4qLw7Hm1snXN32m,2014-12-15 06:58:00.579760,Mark Regan,9,2,TEXT,2014-12-15 06:57:49.398460,105286173748776452656,11.0,1.0,0,2014-12,0 +UgyrVfM5PORmDYM9PJV4AaABAQ,7-H0Z7-4qLw7Hm23fxMQ42,2014-12-15 06:59:37.913725,Mark Regan,92,2,TEXT,2014-12-15 06:58:58.197186,105286173748776452656,39.0,1.0,0,2014-12,0 +UgyrVfM5PORmDYM9PJV4AaABAQ,7-H0Z7-4qLw7Hm25KnlGz9,2014-12-15 06:59:51.463306,Mark Regan,53,2,TEXT,2014-12-15 06:59:47.523290,105286173748776452656,3.0,1.0,0,2014-12,0 +UgyrVfM5PORmDYM9PJV4AaABAQ,7-H0Z7-4qLw7Hm2EiGLPT3,2014-12-15 07:01:08.322108,Mark Regan,23,2,TEXT,2014-12-15 07:00:58.201312,105286173748776452656,10.0,1.0,0,2014-12,0 +UgyrVfM5PORmDYM9PJV4AaABAQ,7-H0Z7-4qLw7Hm2uSmVOr-,2014-12-15 07:06:58.469609,Mark Regan,3,2,TEXT,2014-12-15 07:06:33.478231,105286173748776452656,24.0,1.0,0,2014-12,0 +UgyrVfM5PORmDYM9PJV4AaABAQ,7-H0Z7-4qLw7Hm2xXoPs_a,2014-12-15 07:07:23.687878,Mark Regan,4,2,TEXT,2014-12-15 07:07:12.909545,105286173748776452656,10.0,1.0,0,2014-12,0 +UgyrVfM5PORmDYM9PJV4AaABAQ,7-H0Z7-4qLw7LasIuyD2Ba,2015-03-20 09:59:31.388190,Mark Regan,5,2,TEXT,2015-03-20 09:59:23.230378,105286173748776452656,8.0,1.0,4,2015-03,0 +UgyrVfM5PORmDYM9PJV4AaABAQ,7-H0Z7-4qLw7LasKwwOalw,2015-03-20 09:59:48.023883,Mark Regan,12,2,TEXT,2015-03-20 09:59:43.651721,105286173748776452656,4.0,1.0,4,2015-03,0 +UgyrVfM5PORmDYM9PJV4AaABAQ,7-H0Z7-4qLw7LasN27ZXgK,2015-03-20 10:00:05.201197,Mark Regan,36,2,TEXT,2015-03-20 09:59:55.971584,105286173748776452656,9.0,1.0,4,2015-03,0 +UgyrVfM5PORmDYM9PJV4AaABAQ,7-H0Z7-4qLw7LasNJDpdxS,2015-03-20 10:00:07.389229,Mark Regan,3,2,TEXT,2015-03-20 10:00:05.582811,105286173748776452656,1.0,1.0,4,2015-03,0 +UgyrVfM5PORmDYM9PJV4AaABAQ,7-H0Z7-4qLw7LasS8UOrDU,2015-03-20 10:00:46.974401,Mark Regan,12,2,TEXT,2015-03-20 10:00:16.958202,105286173748776452656,30.0,1.0,4,2015-03,0 +UgyrVfM5PORmDYM9PJV4AaABAQ,7-H0Z7-4qLw8-AYCLvRU-a,2015-05-15 06:08:31.734252,Mark Regan,36,2,TEXT,2015-05-15 06:08:10.300909,105286173748776452656,21.0,1.0,4,2015-05,0 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT7-H0k27-7x1,2013-11-22 10:24:38.554263,Mark Regan,57,2,TEXT,2013-11-22 10:23:44.329828,Carsten de Vries,54.0,1.0,4,2013-11,0 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT7-HmdYWj0JT,2013-11-22 17:31:55.469394,Mark Regan,28,2,TEXT,2013-11-22 17:31:38.405641,Carsten de Vries,17.0,1.0,4,2013-11,0 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT7-HmnFpSYBg,2013-11-22 17:33:14.996700,Mark Regan,43,2,TEXT,2013-11-22 17:33:07.602110,Carsten de Vries,7.0,1.0,4,2013-11,0 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT7-Hn4_Yb6Rt,2013-11-22 17:35:45.104956,Mark Regan,97,2,TEXT,2013-11-22 17:34:46.170010,Carsten de Vries,58.0,1.0,4,2013-11,0 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT7-Hn8HBFTSG,2013-11-22 17:36:15.394760,Mark Regan,21,2,TEXT,2013-11-22 17:35:50.288417,Carsten de Vries,25.0,1.0,4,2013-11,0 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT7-HnBj36I5C,2013-11-22 17:36:43.665929,Mark Regan,29,2,TEXT,2013-11-22 17:36:26.167518,Carsten de Vries,17.0,1.0,4,2013-11,0 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT7-HnRS7-hMG,2013-11-22 17:38:52.442164,Mark Regan,106,2,TEXT,2013-11-22 17:38:06.324339,Carsten de Vries,46.0,1.0,4,2013-11,0 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT7-HnfSpX9VU,2013-11-22 17:40:55.413172,Mark Regan,31,2,TEXT,2013-11-22 17:40:01.157561,Carsten de Vries,54.0,1.0,4,2013-11,0 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT7-HngCr9OKa,2013-11-22 17:41:01.560752,Mark Regan,12,2,TEXT,2013-11-22 17:41:01.269891,Carsten de Vries,0.0,0.0,4,2013-11,0 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT7-HoC2cgBGv,2013-11-22 17:45:30.587494,Mark Regan,14,2,TEXT,2013-11-22 17:45:15.488025,Carsten de Vries,15.0,1.0,4,2013-11,0 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT7-HqpqNpHAR,2013-11-22 18:08:33.339764,Mark Regan,45,2,TEXT,2013-11-22 18:07:42.726700,Carsten de Vries,50.0,1.0,4,2013-11,0 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT77IRRvUADsZ,2014-06-09 20:48:21.320082,Mark Regan,16,2,TEXT,2014-06-09 20:47:51.133335,Carsten de Vries,30.0,1.0,0,2014-06,0 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT77XMCYdnYLk,2014-06-15 15:51:10.429130,Mark Regan,7,2,TEXT,2014-06-15 15:50:39.058612,Carsten de Vries,31.0,1.0,6,2014-06,1 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT77XMEXa7gvJ,2014-06-15 15:51:26.677834,Mark Regan,10,2,TEXT,2014-06-15 15:51:12.937188,Carsten de Vries,13.0,1.0,6,2014-06,1 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT77r3pQb5r_Z,2014-06-23 16:54:38.680036,Mark Regan,7,2,TEXT,2014-06-23 16:54:22.693754,Carsten de Vries,15.0,1.0,0,2014-06,0 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT79KdaBSoUt5,2014-07-30 10:24:29.125637,Mark Regan,10,2,TEXT,2014-07-30 10:24:03.143402,Carsten de Vries,25.0,1.0,2,2014-07,0 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT79Kdbc26MGX,2014-07-30 10:24:40.848257,Mark Regan,14,2,TEXT,2014-07-30 10:24:32.533975,Carsten de Vries,8.0,1.0,2,2014-07,0 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT79KdgoWmu3S,2014-07-30 10:25:23.404831,Mark Regan,39,2,TEXT,2014-07-30 10:25:21.383083,Carsten de Vries,2.0,1.0,2,2014-07,0 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT79Kdjwcy1CD,2014-07-30 10:25:49.019767,Mark Regan,12,2,TEXT,2014-07-30 10:25:38.095127,Carsten de Vries,10.0,1.0,2,2014-07,0 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT79Kdr9V56fh,2014-07-30 10:26:48.138106,Mark Regan,5,2,TEXT,2014-07-30 10:26:29.785211,Carsten de Vries,18.0,1.0,2,2014-07,0 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT7BOqv9Ms0Gz,2014-09-19 18:40:41.657513,Mark Regan,11,2,TEXT,2014-09-19 18:40:35.996245,Carsten de Vries,5.0,1.0,4,2014-09,0 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT7BOqx6sEqrO,2014-09-19 18:40:57.721814,Mark Regan,16,2,TEXT,2014-09-19 18:40:53.806694,Carsten de Vries,3.0,1.0,4,2014-09,0 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT7BOr0DQo5FS,2014-09-19 18:41:31.329308,Mark Regan,45,2,TEXT,2014-09-19 18:41:09.491474,Carsten de Vries,21.0,1.0,4,2014-09,0 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT7BOr4aJXCF3,2014-09-19 18:42:07.155298,Mark Regan,13,2,TEXT,2014-09-19 18:41:58.951185,Carsten de Vries,8.0,1.0,4,2014-09,0 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT7BOrL1U-pJg,2014-09-19 18:44:21.832461,Mark Regan,6,2,TEXT,2014-09-19 18:44:20.255802,Carsten de Vries,1.0,1.0,4,2014-09,0 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT7Bq0YooELzu,2014-09-30 17:12:21.746150,Mark Regan,4,2,TEXT,2014-09-30 17:12:14.989057,Carsten de Vries,6.0,1.0,1,2014-09,0 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT7Bq0orLUJIf,2014-09-30 17:14:41.334373,Mark Regan,15,2,TEXT,2014-09-30 17:14:32.426827,Carsten de Vries,8.0,1.0,1,2014-09,0 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT7Bq10WTcQJz,2014-09-30 17:16:25.030923,Mark Regan,53,2,TEXT,2014-09-30 17:15:50.295058,Carsten de Vries,34.0,1.0,1,2014-09,0 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT7ClX_XsneC0,2014-10-23 19:56:08.827053,Mark Regan,8,2,TEXT,2014-10-23 19:55:50.002856,Carsten de Vries,18.0,1.0,3,2014-10,0 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT7EeUT35vHTt,2014-12-09 18:17:00.951078,Mark Regan,7,2,TEXT,2014-12-09 18:16:51.190703,Carsten de Vries,9.0,1.0,1,2014-12,0 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT8-iMpYVGfSv,2015-05-28 18:42:34.688398,Mark Regan,8,2,TEXT,2015-05-28 18:42:25.609957,Carsten de Vries,9.0,1.0,3,2015-05,0 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT80-P9Dt4K0Q,2015-06-04 18:49:12.434110,Mark Regan,4,2,TEXT,2015-06-04 18:49:11.711430,Carsten de Vries,0.0,0.0,3,2015-06,0 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT80-PCd7OkEA,2015-06-04 18:49:40.368414,Mark Regan,7,2,TEXT,2015-06-04 18:49:34.914561,Carsten de Vries,5.0,1.0,3,2015-06,0 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT80-PKJ7m6XC,2015-06-04 18:50:43.217347,Mark Regan,58,2,TEXT,2015-06-04 18:50:06.959819,Carsten de Vries,36.0,1.0,3,2015-06,0 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT80-PN2gGq19,2015-06-04 18:51:05.688955,Mark Regan,27,2,TEXT,2015-06-04 18:50:56.057106,Carsten de Vries,9.0,1.0,3,2015-06,0 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT80-PQwTG1ev,2015-06-04 18:51:37.532596,Mark Regan,37,2,TEXT,2015-06-04 18:51:17.559561,Carsten de Vries,19.0,1.0,3,2015-06,0 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT80-PS_e2KVV,2015-06-04 18:51:50.996368,Mark Regan,2,2,TEXT,2015-06-04 18:51:46.611809,Carsten de Vries,4.0,1.0,3,2015-06,0 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT80-PZhaofYs,2015-06-04 18:52:49.357398,Mark Regan,22,2,TEXT,2015-06-04 18:52:16.140129,Carsten de Vries,33.0,1.0,3,2015-06,0 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT80-PreJC0Mi,2015-06-04 18:55:24.584953,Mark Regan,52,2,TEXT,2015-06-04 18:55:13.620903,Carsten de Vries,10.0,1.0,3,2015-06,0 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT80-Pu14nXaL,2015-06-04 18:55:44.011761,Mark Regan,4,2,TEXT,2015-06-04 18:55:39.497256,Carsten de Vries,4.0,1.0,3,2015-06,0 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT80-PvTPeLWh,2015-06-04 18:55:55.829211,Mark Regan,22,2,TEXT,2015-06-04 18:55:51.873973,Carsten de Vries,3.0,1.0,3,2015-06,0 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT80-Q3_rv7BD,2015-06-04 18:57:10.511457,Mark Regan,106,2,TEXT,2015-06-04 18:56:44.571990,Carsten de Vries,25.0,1.0,3,2015-06,0 +UgzCO8HkSq1cXlsgEhN4AaABAQ,7-H0Z7-6liT8F4rR9encdo,2016-06-13 17:32:10.582841,Mark Regan,4,2,TEXT,2016-06-13 17:31:41.903381,Carsten de Vries,28.0,1.0,0,2016-06,0 +UgzFDjzEaKVYPM194AN4AaABAQ,7-H0Z7-D6hu7-H1d7MxXl2,2014-04-25 03:02:49.038173,Mark Regan,87,2,TEXT,2014-04-25 03:02:15.865940,Brian Durcan,33.0,1.0,4,2014-04,0 +UgzFDjzEaKVYPM194AN4AaABAQ,7-H0Z7-D6hu7-H1iSjr1cW,2014-04-25 03:03:32.734442,Mark Regan,73,2,TEXT,2014-04-25 03:03:05.312865,Brian Durcan,27.0,1.0,4,2014-04,0 +UgzFDjzEaKVYPM194AN4AaABAQ,7-H0Z7-D6hu7-H1iwsOGxG,2014-04-25 03:03:36.719241,Mark Regan,18,2,TEXT,2014-04-25 03:03:33.096047,Brian Durcan,3.0,1.0,4,2014-04,0 +UgzFDjzEaKVYPM194AN4AaABAQ,7-H0Z7-D6hu7-H1xivfk75,2014-04-25 03:05:37.814079,Mark Regan,76,2,TEXT,2014-04-25 03:05:20.088611,Brian Durcan,17.0,1.0,4,2014-04,0 +UgzFDjzEaKVYPM194AN4AaABAQ,7-H0Z7-D6hu7-H27u81SiZ,2014-04-25 03:07:09.360597,Mark Regan,34,2,TEXT,2014-04-25 03:06:52.362090,Brian Durcan,16.0,1.0,4,2014-04,0 +UgzFDjzEaKVYPM194AN4AaABAQ,7-H0Z7-D6hu7-H2D5UDTwz,2014-04-25 03:07:51.900975,Mark Regan,16,2,TEXT,2014-04-25 03:07:22.416505,Brian Durcan,29.0,1.0,4,2014-04,0 +UgzFDjzEaKVYPM194AN4AaABAQ,7-H0Z7-D6hu7-H2MfFR0Wv,2014-04-25 03:09:10.334923,Mark Regan,100,2,TEXT,2014-04-25 03:08:17.693284,Brian Durcan,52.0,1.0,4,2014-04,0 +UgzTRpFAWz1jMcCIUIh4AaABAQ,8CLGyKiUGx58CmPFK0D1ue,2016-04-17 11:08:47.747224,Mark Regan,86,3,TEXT,2016-04-17 11:08:17.294700,Louise Regan,30.0,1.0,6,2016-04,1 +UgzTRpFAWz1jMcCIUIh4AaABAQ,8CLGyKiUGx58CmPRn10QIn,2016-04-17 11:10:29.894255,Mark Regan,10,3,TEXT,2016-04-17 11:10:05.267921,Louise Regan,24.0,1.0,6,2016-04,1 +UgzTRpFAWz1jMcCIUIh4AaABAQ,8CLGyKiUGx58CmPTr9R9j4,2016-04-17 11:10:46.804547,Mark Regan,41,3,TEXT,2016-04-17 11:10:35.315936,Louise Regan,11.0,1.0,6,2016-04,1 +UgzTRpFAWz1jMcCIUIh4AaABAQ,8CLGyKiUGx58CmPY_JvZri,2016-04-17 11:11:25.481533,Mark Regan,55,3,TEXT,2016-04-17 11:11:12.571945,Louise Regan,12.0,1.0,6,2016-04,1 +UgzTRpFAWz1jMcCIUIh4AaABAQ,8CLGyKiUGx58CmVkdEKRxk,2016-04-17 12:05:38.208543,Mark Regan,16,3,TEXT,2016-04-17 12:05:25.418679,Eileen Regan,12.0,1.0,6,2016-04,1 +UgzZBTqi5VMkzkwQnAh4AaABAQ,7-H0Z7-RK8A7-H0aE1onZL,2015-03-17 13:50:17.115229,Mark Regan,4,2,TEXT,2015-03-17 13:50:13.562353,Cian O'Mahony,3.0,1.0,1,2015-03,0 +UgzZBTqi5VMkzkwQnAh4AaABAQ,7-H0Z7-RK8A7-H0fOLn9ZE,2015-03-17 13:50:59.395040,Mark Regan,9,2,TEXT,2015-03-17 13:50:50.298864,Cian O'Mahony,9.0,1.0,1,2015-03,0 +UgzZBTqi5VMkzkwQnAh4AaABAQ,7-H0Z7-RK8A7-H0p9oTHDH,2015-03-17 13:52:19.453401,Mark Regan,54,2,TEXT,2015-03-17 13:52:03.707397,Cian O'Mahony,15.0,1.0,1,2015-03,0 +Ugzd2qvqMa_Uvw-kxpp4AaABAQ,7-H0Z7-Kt-j7-H0c1HnowU,2013-09-19 12:02:20.944009,Mark Regan,6,2,TEXT,2013-09-19 12:01:56.854341,Lauren Heller,24.0,1.0,3,2013-09,0 diff --git a/notebook_必备数学基础/贝叶斯分析/贝叶斯建模.ipynb b/notebook_必备数学基础/贝叶斯分析/贝叶斯建模.ipynb new file mode 100644 index 0000000..eb153e1 --- /dev/null +++ b/notebook_必备数学基础/贝叶斯分析/贝叶斯建模.ipynb @@ -0,0 +1,282 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 估计模型参数" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "from IPython.display import Image\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import pandas as pd\n", + "import pymc3 as pm # 贝叶斯相关包,需要安装\n", + "import scipy\n", + "import scipy.stats as stats\n", + "import scipy.optimize as opt\n", + "import statsmodels.api as sm\n", + "%matplotlib inline\n", + "\n", + "plt.style.use('bmh')\n", + "colors = ['#348ABD','#A60628','#7A68A6','#467821','#D55E00',\n", + " '#CC79A7','#56B4E9','#009E73','#F0F442','#0072B2']\n", + "\n", + "messages = pd.read_csv('hangout_chat_data.csv') # 某人的聊天数据,如回复信息的速度等" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**贝叶斯看待数据的思维**\n", + "\n", + "假设蹲在山上数羊 12,33,20,29,20,30,18(每天数看到几只羊,得到一周的数据)\n", + "\n", + "按照贝叶斯的思想,数据已经定下来了,减下来就是找到参数的概率分布\n", + "\n", + "我们的数据是非负的整数,在这里我们用泊松分布来建模,泊松分布只需要μ,它描述数据的均值和方差\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# 画出泊松分布的图\n", + "fig = plt.figure(figsize=(12,5))\n", + "ax = fig.add_subplot(111)\n", + "x_lim = 60\n", + "mu = [5,20,40]\n", + "for i in np.arange(x_lim):\n", + " plt.bar(i,stats.poisson.pmf(mu[0],i),color=colors[3])\n", + " plt.bar(i,stats.poisson.pmf(mu[1],i),color=colors[4])\n", + " plt.bar(i,stats.poisson.pmf(mu[2],i),color=colors[5])\n", + " \n", + "_ = ax.set_xlim(0,x_lim)\n", + "_ = ax.set_ylim(0,0.2)\n", + "_ = ax.set_ylabel('Probability mass')\n", + "_ = ax.set_title('Poisson distribution')\n", + "_ = plt.legend(['$\\mu$ = %s' % mu[0], '$\\mu$ = %s' % mu[1], '$\\mu$ = %s' % mu[2]])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "不同的mu值下的泊松分布长相\n", + "\n", + "回消息的反应时间的分布情况" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + " " + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(12,5))\n", + "_ = plt.title('Frequency of messages by response time')\n", + "_ = plt.xlabel('Response time (seconds)')\n", + "_ = plt.ylabel('Number of messages')\n", + "_ = plt.hist(messages['time_delay_seconds'].values,\n", + " range=[0, 60], bins=60, histtype='stepfilled')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "y轴是回复的样本个数,x轴是消息发来的回复时间。\n", + "\n", + "10秒的时候回复最多" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**极大似然估计求μ**\n", + "\n", + "在用贝叶斯方法之前,先用最大似然估计来求解。\n", + " \n", + "
- poisson_logprob()根据泊松模型和参数值返回观测数据的总似然值。\n", + "
- opt.minimize_scalar找到最合适的取值。" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The estimated value of mu is: 18.2307692323807\n", + "Wall time: 0 ns\n" + ] + } + ], + "source": [ + "y_obs = messages['time_delay_seconds'].values\n", + "\n", + "def poisson_logprob(mu, sign=-1):\n", + " return np.sum(sign*stats.poisson.logpmf(y_obs, mu=mu))\n", + "\n", + "freq_results = opt.minimize_scalar(poisson_logprob)\n", + "%time print(\"The estimated value of mu is: %s\" % freq_results['x'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "得到结果μ = 18.2307692323807,但这仅仅是一个值。\n", + "\n", + "下面展示这个过程,不断爬坡的过程。" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "x = np.linspace(1, 60)\n", + "y_min = np.min([poisson_logprob(i, sign=1) for i in x])\n", + "y_max = np.max([poisson_logprob(i, sign=1) for i in x])\n", + "\n", + "fig = plt.figure(figsize=(6,4))\n", + "_ = plt.plot(x, [poisson_logprob(i, sign=1) for i in x])\n", + "_ = plt.fill_between(x, [poisson_logprob(i, sign=1) for i in x], \n", + " y_min, color=colors[0], alpha=0.3)\n", + "\n", + "_ = plt.title('Optimization of $mu$')\n", + "_ = plt.xlabel('$mu$')\n", + "_ = plt.ylabel('Log probability of $mu$ given data')\n", + "_ = plt.vlines(freq_results['x'], y_max, y_min, colors='red', linestyles='dashed')\n", + "_ = plt.scatter(freq_results['x'], y_max, s=110, c='red', zorder=3)\n", + "_ = plt.ylim(ymin=y_min, ymax=0)\n", + "_ = plt.xlim(xmin=1, xmax=60)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "代入参数后分布的样子" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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x9RDtYfpBvPwg0QguNxGNrwzwJ3F9fUQ/yf6Q+CS0eH450cgYo9v6CHDNROsrmDbuSUpFy0z5Gk1nW+Jl/pJoFIRjo+tnnBMdx5se3/8CL4620BvfP6no9fhLoj2lR4gOl7iF40+abATuiF/PAFwbT9/H8aOUTJolL54Ed2FR3XuAm6d4bcfL5Hyi9/NAXPtXgeUF82+m6ITCSZ7/uG0pmH4xx49SUh5vYxcvjiByAwXtc7z1UnQiYzztaqK9qS8QHb/9a5x4cvSk2xgv85tEv2gNEI0+cdU46zrhfTTB69BCNPJIB9F78rGCvI97LQoeMzy6THz/Q/G6+uP3zdUzqWei90s8bzVRx3D0vdZKdNjI2hI/B7ZTWttI9FlBtPf6DqJzbkbr/B8cfyLspNsywWsz0Wf5hJ83E+UVTxsEriu4P+X/Cbpl+zb6H6qIiEimxHuDv0g0PNuRtOvJMouunLonhHBd2rWILEQ6aVJERDLBzP4r0SEhXUQn1X0U+Ad1tkUkbfN2DLeZbbPoClt74mMai+dfZGa7LLoi4NuK5r3LzH4R3941XzWLiIgr5wD/THTYxkeIDiMovqqjiMi8m5dDSiw6a/kJomHdngHuA64OITxSsMwaouMV/ytwewjh6/H0RqLjFs8jOnZqJ9HxeIfnvHARERERkYTmaw/3ZqJju54M0QUHbiU6M3lMCGFfCOEhohM+Cl0GfDdEwxEdJrqwxbb5KFpEREREJKn56nCvBJ4uuP9MPG2uHysiIiIikqr5OmmylKtNJXrsd77zndDW1oaZEUKgoaGB5uZmjh49SllZNJb9yMgI5eXlDA9HV4pevHjxjOYfPXoUM6OsrIzh4WHKysoIIXDs2LGx+YsWLWLRokUMDw+zePFijh07Nu35ZsbIyAiLFy9mZGSEEMLY/Cxt06JFizh27FimtimLOU20TUNDQyxatChT25TFnCaqeXh4mIqKikxtUxZzGm/+0NAQixcvztQ2ZTGnibZpdH6WtimLOY23TUePHu3YunVrM9MwXx3uZ4jGNB51CtGYyqU+9uKix24vXqiuro7zzy++qJh48MILL7BkyQnX/RAnlJ9vys8vZeeb8vNr165drdN9zHwdUnIfcHp8la0KoosI3F7iY+8iupJgg0VXErw0nnac0W+L4k9bW1vaJUgCys835eeXsvNN+eXLvHS4QwjDRFcOuwt4FPhaCGF3fAnetwCY2SvN7BngSuCvzWx3/Nguoqts3RffbomnHcdsvCNPxIPy8tm8gq7MN+Xnm/LzS9n5pvzyZd4ufBNCuIPocqyF0z5Y8Pd9RIeLjPfYLxBdInZCo8fdiD/19fVplyAJKD/flJ9fys435ZcvmbnS5OiB7+JPR0cH1dXVaZchM6T8fFN+fik730rNL4RAX18f83HdFDmemVFTUzMrR1FkpsOtPdx+6Vu+b8rPN+Xnl7LzrdT8+vr6WLJkCRUVFXNckRQbGhqir6+P2traxM81b5d2n2v65ufX0NBQ2iVIAsrPN+Xnl7LzrdT8QgjqbKekoqJi1vqXmelwHztWfIFK8WJgYCDtEiQB5eeb8vNL2fmm/PIlMx1une3rV0tLS9olSALKzzfl55ey80355UtmOtwah9svjUXqm/LzTfn5pex8U375kpkO96JFmdmU3NGxab4pP9+Un1/Kzjdv+X3gAx/gwx/+8Iwf//zzz/POd76Tr371qyfMe+yxx7jgggvm5EvIDTfcwPr169myZctx0z/zmc/w6le/mi1btnDdddcxODg46+sulJlRStTh9ms2zv6V9Cg/35SfX8rOt5nmd9XHNs1qHbfeuLOk5U4//XQaGhpmvJ6TTjqJtWvXcs4555ww74wzzmDVqlVzcpjNNddcw3vf+15+53d+Z2zas88+y9/8zd/w05/+lKqqKt797nfzzW9+k2uuuWbW1z8qM71UjcPtV2dnZ9olSALKzzfl55ey881bfvfffz+vfOUrEz3HI488wplnnnnC9P7+fmpqahI990S2bNky7heF4eFhBgcHGR4eZmBgYM6Pqc/MHu7FizOzKbmT5BuzpE/5+ab8/FJ2vnnL77nnnuPkk0/mG9/4BkNDQzz77LM0NTVx7bXX8tOf/pR//Md/5MILL6SiooLvf//7XHLJJRw+fBiAq6++muHhYfbv3893v/tddu7cyU033cS3v/1tjh49yuOPP84rXvEKgHGfv9Ab3/hG+vr6Tqjvlltu4eKLLy5pW17ykpdwww03cM4551BZWckll1zC6173ukSvz1Qys4dbwwL6paGRfFN+vik/v5Sdb57y6+7upr6+nl/84hd8//vf5+qrr6asrIw1a9YAjF2JsaWlhUsvvZTdu3ezefNmLrvsMh566CEAHn74Yd7whjewbds2BgcHeeCBB7j77ru56qqrqK6u5rzzzpvw+Qvdcccd3HPPPSfcSu1sAxw5coTvfOc7PPDAAzzyyCM8//zzfO1rX0v6Mk1KHW5J3VyfqCBzS/n5pvz8Una+ecrvvvvuY9OmTXzta1/jsssuA+DBBx9k06boePLzzz+fp556ivPOO4+BgQEaGxtpbGxk586dY3uu//3f/50LLrgAgMcff5wvfvGLvP71rweizvjGjRsnfP5Cb3zjG7noootOuG3fvr3k7dm+fTunnnoqy5Yto7y8nDe96U3s2LFjxq9PKTJzHIbG4fZLY5HOvlJOqin1RJmpKD/flJ9fys43T/nt3LmT1772tXzkIx/hrW99K0NDQ/T29vLzn/+cLVu28Pzzz1NVVQXAAw88MNbJ/td//Vfe//7389BDD9HT08MFF1zAkSNHKCsro7q6mtNPP52hoSEGBgbYtWsX3d3dY9MKn7/QHXfckXh7TjnlFO6///6xuu+55x5e/vKXJ37eyWSmw61xuP1qa2tj9erVaZchM6T8fFN+fik73zzlt2bNGnbs2MEHP/hB7r77bh5//HHWrVvHwYMHgWhYv1e/+tVAdGLkhRdeCMCqVau4++67ueaaa6itreXOO++ku7ubj3/84xw4cGDsuV760pfS3t7O29/+9nGfP4nrrruOn/zkJ3R2drJhwwZuuukm3vGOd/CWt7yFSy65hLKyMs455xze9a53JV7XZGy2rhGftnvuuSe87GUvS7sMmYGDBw+yYsWKtMvIlPncw638fFN+fik730rNr6enh7q6unmoSMYz3uu/a9eunVu3bj1vOs+TmWO4NQ63X6M/Q4lPys835eeXsvNN+eVLZnqpGofbr9Fhg8Qn5eeb8vNL2fmm/PIlMx1ujcPtV1NTU9olSALKzzfl55ey80355UtmOtwaFtCv3t7etEuQBJSfb8rPL2Xnm/LLl8zsFlaH26+hoaG0S3Bhrk6ETPq8ys835eeXsvOt1PzMjKGhISoqKua4Iik2NDQ0dlGfpDLT4dY43H55GotUTqT8fFN+fik730rNr6amhr6+PlcXyskKM6OmpmZWniszHW6Nw+2Xp7FI5UTKzzfl55ey863U/MyM2traeahI5lJmjuHWsIB+aWgk35Sfb8rPL2Xnm/LLl8z0UmfrGBuZfzouzTfl55vy80vZ+ab88iUzHe6RkZG0S5AZ6u7uTrsESUD5+ab8/FJ2vim/fMlMh1vjcPu1bNmytEuQBJSfb8rPL2Xnm/LLl8x0uLWH2y99y/dN+fmm/PxSdr4pv3zJTIc7hJB2CTJDGmHGN+Xnm/LzS9n5pvzyJTMdbo3D7ZfGkvVN+fmm/PxSdr4pv3zJTIdb3xT9amtrS7sESUD5+ab8/FJ2vim/fMlMh7usrCztEmSGqqur0y5BElB+vik/v5Sdb8ovXzLT4Ra/9GXJN+Xnm/LzS9n5pvzyJTMdbo1S4ldPT0/aJUgCys835eeXsvNN+eVLZjrcOmnSr+bm5rRLkASUn2/Kzy9l55vyy5fMdLiHh4fTLkFmqKurK+0SJAHl55vy80vZ+ab88iUzHW7xS2Oo+6b8fFN+fik735RfvmSmw61Lu/uln9V8U36+KT+/lJ1vyi9fMtNL1Tjcfh08eJDVq1enXYaU6KqPbTru/uZV29jx9J1j92+9ced8lyQJqP35pex8U375kpk93Bpex6+ampq0S5AEDvU9nXYJkoDan1/Kzjflly+Z6XCLiIiIiCxEmelwaxxuv/r6+tIuQRJYXrMq7RIkAbU/v5Sdb8ovXzJzDLfG4fZrxYoVaZeQmuLjocez0I+JfvTQjrRLkATy3P68U3a+Kb98ycwebo3D7Vd7e3vaJUgC65dN/aVBFi61P7+UnW/KL18y0+EWv8ws7RIkgZGgL7ueqf35pex8U375kpkOt8bh9quxsTHtEiSBfV270y5BElD780vZ+ab88iUzHW6Nw+2XflbzbX3zuWmXIAmo/fml7HxTfvkybx1uM9tmZo+b2R4zu2mc+UvM7LZ4/s/MbE08vdzMvmxmPzezR83sj8Z7fo3D7VddXV3aJUgCbb370i5BElD780vZ+ab88mVeOtxmVgZ8GngDcBZwtZmdVbTYe4DDIYR1wCeAj8bTrwSWhBBeBmwCfmu0My7ZoCEdfStftCTtEiQBtT+/lJ1vyi9f5msP92ZgTwjhyRDCEHArcHnRMpcDX47//jqw1aIzCgJQbWaLgSpgCOgpXoHeuH719/enXYIk0FR9ctolSAJqf34pO9+UX77M15mGK4HC6z8/A7xqomVCCMNm1g00EXW+LweeA04Cfi+E0FW8gu7ubi644AIWL17MyMgIV1xxBddffz1tbW1UV1dTVlZGT08Pzc3NdHV1EUKgubmZgwcPjl1eta+vjxUrVtDe3o6Z0djYSHt7O3V1dYyMjNDf309LSwttbW2Ul5dTX19PR0cH9fX1DA0NMTAwMDa/oqKC2tpaOjs7aWhoYGBggMHBwbH5lZWVVFVVcfjwYZqamujt7WVoaGhsflVVFRUVFXR3d7Ns2TK6u7s5evTo2PwsbVNjYyOtra2Z2qZSc1rTsAGILh7z6KEdrF+2iZEwzL6u3axvPpe23n10dHTQ399PdXkdG1q2MHi0nwM9ezitaSMHuvdQXVHP0qpmdrfdS2trKxUVFTRXn8LaxrPZf+QxllYup66ykd1t97KhZQs9g10cGTxEa2srTU1NbFixheqKurH5Rwba6R/qZmX9OvZ2PsjKunW0traObdNpjRs5euwFWmrX8ET7LgiwaeXreaJjJ2cu30xnZ2fmcsrie290m0ZGRhgcHMzUNmUxp/G2aWRkhMOHD2dqm7KY00TbZGb09/dnapuymNN42zQTFkKY0QOntRKzK4HLQgjXxfffAWwOIbyvYJnd8TLPxPf3Eu0ZPwP4XeBaoAH4EfCGEMKThevYvn172Lhx45xvi8y+1tZWVq9enXYZqZjOhW8WwrLjLb951TZ2PH3nuMvKwpfn9uedsvNN+fm1a9eunVu3bj1vOo+Zr0NKngEKr/98CvDsRMvEh4/UA13ANcCdIYSjIYRDwE+AEzZS41n6pauE+jZ4VD+Leqb255ey80355ct8dbjvA043s7VmVgFcBdxetMztwLviv98G/CBEu9/3A6+zSDVwPvBY8Qo0Solf9fX1aZcgCRzo2ZN2CZKA2p9fys435Zcv89LhDiEMAzcAdwGPAl8LIew2s1vM7C3xYp8HmsxsD/D7wOjQgZ8GaoCHiTruXwwhPFS8Dl3a3a+Ojo60S5AETmvSoVyeqf35pex8U375Mm+XZwwh3AHcUTTtgwV/DxINAVj8uL7xphfTHm6/9C3ftwPd2sPtmdqfX8rON+WXL5m50uR8nPwpc2OmZ/zKwlBdof80PFP780vZ+ab88iUzHe5jx46lXYLM0MDAQNolSAJLq5rTLkESUPvzS9n5pvzyJTMdbp3t61dLS0vaJUgCu9vuTbsESUDtzy9l55vyy5fMdLiPHj2adgkyQ21tbWmXIAlsaNmSdgmSgNqfX8rON+WXL5npcC9alJlNyZ2Kioq0S5AE+od60i5BElD780vZ+ab88iUzvVR1uP2qra1NuwRJ4FDf/rRLkATU/vxSdr4pv3zJTC9V43D71dnZmXYJksDaxrPTLkESUPvzS9n5pvzyJTMd7sWL521IcZllDQ0NaZcgCew/cnaFaD0AACAASURBVMKFX8URtT+/lJ1vyi9fMtNL1bCAfg0MDFBXV5d2GTJDSyuX09a7b9x5V31s05SPv/XGnbNckUyH2p9fys435ZcvmdnDrQ63X4ODg2mXIAnUVTamXYIkoPbnl7LzTfnlS2Y63BqH2y+NReqbxuH2Te3PL2Xnm/LLl8x0uDUOt18ai9Q3jcPtm9qfX8rON+WXL5npcGtYQL8qKyvTLkES6BnsSrsESUDtzy9l55vyy5fM9FLV4farqqoq7RIkgSODh9IuQRJQ+/NL2fmm/PIlM71UjcPt1+HDh9MuQRI4dekZaZcgCaj9+aXsfFN++ZKZDrfG4farqakp7RIkgae6Hk67BElA7c8vZeeb8suXzHS4NSygX729vWmXIAksrzk17RIkAbU/v5Sdb8ovX9ThltQNDQ2lXYIkUF2hCzd4pvbnl7LzTfnlS2Y63BqH2y+NReqbxuH2Te3PL2Xnm/LLl8wc+KxxuP1qa2tj9erVaZcxa/J2OfMNLVvY8fSdaZchM5S19pcnys435ZcvmdnDrWEB/dLQSL4dGWhPuwRJQO3PL2Xnm/LLl8z0Us0s7RJkhioqKtIuQRLoH+pOuwRJQO3PL2Xnm/LLl8x0uEdGRtIuQWaou1sdNs9W1q9LuwRJQO3PL2Xnm/LLl8x0uDUOt1/Lli1LuwRJYG/ng2mXIAmo/fml7HxTfvmSmQ639nD7pW/5vq2s0x5uz9T+/FJ2vim/fMlMhzuEkHYJMkMaYca3yvLqtEuQBNT+/FJ2vim/fMlMh1vjcPulsUh90zjcvqn9+aXsfFN++TKjDreZXWJmF812MUnom6JfbW1taZcgCWxo2ZJ2CZKA2p9fys435ZcvJXW4zeyHZnZB/PcfArcC/8/M/ngui5uOsrKytEuQGaqu1iEJnnX2P5d2CZKA2p9fys435Zcvpe7hPhv4t/jv9wIXA+cDvz0HNUnO6MuSb0ePvZB2CZKA2p9fys435ZcvpXa4FwHBzE4DLITwaAjhaaBh7kqbHo1S4ldPT0/aJUgCLbVr0i5BElD780vZ+ab88qXUwat/DHwKOBn4FkDc+e6Yo7qmTSdN+tXc3Jx2CZLAE+270i5BElD780vZ+ab88qXUPdzXAkeAh4D/Hk87A/jkHNQ0I8PDw2mXIDPU1dWVdgmSwJrGDWmXIAmo/fml7HxTfvlS0h7uEEIn8MdF0/5lTiqS3NEY6r6Vma7y6pnan1/Kzjflly+ljlLy+2b28vjv881sv5k9aWavntvySqdLu/uln9V8e6JjZ9olSAJqf34pO9+UX76UekjJ7wFPxX//OfBx4M+Av5yLomZC43D7dfDgwbRLkATOXL457RIkAbU/v5Sdb8ovX0rdLVwfQug2s1pgI/DLIYQRM/tfc1jbtGh4Hb9qamrSLkESONT3dNolSAJqf34pO9+UX76U2uF+2sy2ABuAe+LOdh2gsfhERERERCZR6iElfwB8HfhvwIfiaW8CdsxFUTOhcbj96uvrS7sESWB5zaq0S5AE1P78Una+Kb98KXWUkjuAlxRN/of4tiBoHG6/VqxYkXYJksCjh2bne/dVH9s05TK33qgTNGeb2p9fys435Zcvpe7hBsDMas1srZm9FFgV3xYEjcPtV3t7e9olSALrl03dUZaFS+3PL2Xnm/LLl5L2cJvZWcDfE50wGQCL/wXQ2YqSiJmlXYIkMBL0ZdcztT+/lJ1vyi9fSt3D/RngbqAR6AEagL8G3jVHdU2bxuH2q7GxMe0SJIF9XbvTLkESUPvzS9n5pvzypdQO90bgD0MIRwALIXQTnUj5ockfNn80Drdf+lnNt/XN56ZdgiSg9ueXsvNN+eVLqR3uQWD0rMQOMzs1fmzTnFQ1AxqH26+6urq0S5AE2nr3pV2CJKD255ey80355UupHe4fAb8W//114DvAD4EflLoiM9tmZo+b2R4zu2mc+UvM7LZ4/s/MbE3BvHPM7KdmttvMfm5mlaWuVxY+DenoW/miJWmXIAmo/fml7HxTfvlSUoc7hPBrIYQvxXf/GPgL4LPAr5fyeDMrAz4NvAE4C7g6PhGz0HuAwyGEdcAngI/Gj10M/B3w2yGEDcDFwAnHj+iN61d/f3/aJUgCTdUnp12CJKD255ey80355cu0zzQMIRwDvjLNh20G9oQQngQws1uBy4FHCpa5HLg5/vvrwKcsOoX3UuChEMKD8fo7x1uBxuH2q6WlJe0SJIHdbfemXYIkoPbnl7LzTfnlS6nDAtYD/wl4BVBTOC+EcGkJT7ESeLrg/jPAqyZaJoQwbGbdRMeIrweCmd0FNAO3hhA+VryCQ4cO8d73vpfFixczMjLCFVdcwfXXX09bWxvV1dWUlZXR09NDc3MzXV1dhBBobm7m4MGD1NREm9TX18eKFStob2/HzGhsbKS9vZ26ujpGRkbo7++npaWFtrY2ysvLqa+vp6Ojg/r6eoaGhhgYGBibX1FRQW1tLZ2dnTQ0NDAwMMDg4ODY/MrKSqqqqjh8+DBNTU309vYyNDQ0Nr+qqoqKigq6u7tZtmwZ3d3dHD16dGx+lrZpZGSEsrKyzGzT5lXb2N12LxtattDZ/xxHj71AS+0anmjfxZrGDZTZYgYHBzl48CBrGjYA0dUaHz20g/XLNjEShtnXtZv1zefS1ruPjo4O+vv7qS6vY0PLFgaP9nOgZw+nNW3kQPceqivqWVrVzO62e2ltbaWiooLm6lNY23g2+488xtLK5dRVNo7V1DPYxZHBQ7S2ttLU1MSGFVuorqgbm39koJ3+oW5W1q9jb+eDrKxbR2tr69g2n9a48bhtuuilV3Cgey9PdOzkzOWb6ezsHMupdknjuNtUvmgJTdUnj9VcXl5O00knj7tNG1q20D/Uw6G+/bS2tqo9zfI2HThwgPXr12dqm7KY03jbtGfPHlatWpWpbcpiThNtU29vL2vXrs3UNmUxp/G2aSYshDD1Qmb/SjTe9reAgcJ5IYTPl/D4K4HLQgjXxfffAWwOIbyvYJnd8TLPxPf3Eu0ZfzdwPfBK4Hng+8AHQgjfL1zHD3/4w3DOOedMuS2y8Dz77LO85CXFFzL1azpXTPS27HjLn9PyGh5q+1FJy85mHTI7stb+8kTZ+ab8/Nq1a9fOrVu3njedx5R6SMn5QFMIYaZj7z3D8VelPAV4doJlnomP264HuuLpPwwhdACY2R3AuUQd7zEapcSv+vr6tEuQBA707Em7BElA7c8vZeeb8suXUkcp+TFwZoL13AecHl8WvgK4Cri9aJnbefFCOm8DfhCi3e93AeeY2UlxR/y1HH/sN6BLu3vW0dGRdgmSwGlNG9MuQRJQ+/NL2fmm/PKl1D3c1wJ3mNnPgIOFM0IIt0z14PiY7BuIOs9lwBdCCLvN7Bbg/hDC7cDnga+Y2R6iPdtXxY89bGYfJ+q0B+COEMK/FK9De7j90rd83w50aw+3Z2p/fik735RfvpTa4f4zosM99gGFI7VPfQD46IIh3AHcUTTtgwV/DwJXTvDYvyMaGnCy5y+1FFlgZnoCgiwM1RX6T8MztT+/lJ1vyi9fSu1wXwWsDyE8N5fFJHHs2LG0S5AZGhgYmHohWbCWVjWnXYIkoPbnl7LzTfnlS6nHcD/JOBebWUg0DrdfGovUN43D7Zvan1/Kzjflly+ldri/AtxuZleb2esKb3NZ3HQcPbqgvw/IJNra2tIuQRLY0LIl7RIkAbU/v5Sdb8ovX0o9pOT6+N+PFE0PwEtnr5yZW7So1O8OstBUVFSkXYIk0D/Uk3YJkoDan1/Kzjflly8ldbhDCGvnupCk1OH2q7a2Nu0SJIFDffvTLkESUPvzS9n5pvzyJTO9VI3D7dfopcDFp7WNZ6ddgiSg9ueXsvNN+eVLZjrcixeXenSMLDQNDQ1plyAJ7D/yWNolSAJqf34pO9+UX75kppeqYQH9GhgYoK6ubuoFU3TVxzZNucytN+6ch0oWnqWVy2nr3Zd2GTJDHtqfjE/Z+ab88iUze7jV4fZrcHAw7RIkgbrKxrRLkATU/vxSdr4pv3wpqcNtZh83s5fPdTFJaBxuvzQWqW8ah9s3tT+/lJ1vyi9fSt3DXQ7cZWYPm9kfmtkpc1nUTGgcbr80FqlvGofbN7U/v5Sdb8ovX0rqcIcQ3ge8BLgJeDnwqJl9z8zeaWY1c1lgqTQsoF+VlZVplyAJ9Ax2pV2CJKD255ey80355UvJvdQQwkgI4Z9DCFcD5wPNwJeANjP7nJmtnKMaS6IOt19VVVVplyAJHBk8lHYJkoDan1/Kzjflly8l91LNrM7M3mNmdwP3AD8DXgOcCfQB35mbEkujcbj9Onz4cNolSAKnLj0j7RIkAbU/v5Sdb8ovX0oaFtDMvg5cRtTR/ivg2yGEFwrm/z7QPScVlkjjcPvV1NSUdgmSwFNdD6ddgiSg9ueXsvNN+eVLqXu4/w04PYTwKyGE2wo72wAhhGPAilmvbho0LKBfvb29aZcgCSyvOTXtEiQBtT+/lJ1vyi9fSt0t/JoQwv8snmhm3wwhXAEQQnh+ViubJnW4/RoaGkq7BEmgumL+L9ygCxHNHrU/v5Sdb8ovX0rdw33JBNMvnqU6EtM43H5pLFLfNA63b2p/fik735Rfvky6h9vMbon/rCj4e9RLgdY5qWoGNA63X21tbaxevTrtMmSGNrRsYcfTd6ZdhsyQ2p9fys435ZcvUx1Ssir+d1HB3wABeBq4eQ5qmhENC+iXhkby7chAe9olSAJqf34pO9+UX75M2uEOIbwbwMzuDSF8dn5KmhkzS7sEmaGKioq0S5AE+odSHaBIElL780vZ+ab88mXC3cJmtqbg7vfN7KXj3ea8whKNjIykXYLMUHe3Omyeraxfl3YJkoDan1/Kzjflly+T7eH+OVAb/72H6DCS4t3IASibg7qmTeNw+7Vs2bK0S5AE9nY+mHYJkoDan1/Kzjflly8T7uEOIdQW/L0ohFAW/1t4WxCdbdAebs/0Ld+3lXXaw+2Z2p9fys435ZcvmTnTMISQdgkyQxphxrfK8uq0S5AE1P78Una+Kb98mfA4DDP7EdEhI5MKIVw0qxXNkMbh9ktjkfqmcbh9U/vzS9n5pvzyZbIDnz83b1XMAn1T9Etjkfqmcbh9U/vzS9n5pvzyZcIOdwjhy/NZSFJlZQvmcHKZpupqHZLgWWf/c2mXIAmo/fml7HxTfvky2SEl7wghfCX++zcnWi6E8IW5KEzyQ1+WfDt67IW0S5AE1P78Una+Kb98meyQkquBr8R/v2OCZQKwIDrcGqXEr56eHhoaGtIuQ2aopXYN+488lnYZMkNqf34pO9+UX75MdkjJGwv+vmR+ypk5nTTpV3Nzc9olSAJPtO9KuwRJQO3PL2Xnm/LLl5KHBTSzpWb262b2B/G/S+eysOkaHh5OuwSZoa6urrRLkATWNG5IuwRJQO3PL2Xnm/LLl5I63Gb2OmAf8J+AVwLvA/aZ2da5K03yQmOo+1ZmusqrZ2p/fik735RfvpT6P+WngP8YQvja6AQzuxL4NHDGXBQ2Xbq0u1/6Wc23Jzp2pl2CJKD255ey80355Uuph5S8BPhG0bRvAQtm1HaNw+3XwYMH0y5BEjhz+ea0S5AE1P78Una+Kb98KbXD/bfA9UXTfieeviBoeB2/ampq0i5BEjjU93TaJUgCan9+KTvflF++lHpp90XA75jZjcABYCWwAvi3Oa9QRERERMSx6Vza/bNzWUhSGofbr76+PpqamtIuQ2Zoec0q9h3enXYZMkNqf34pO9+UX75k5tLuGofbrxUrVqRdgiTw6KEdaZcgCaj9+aXsfFN++TKdcbhXmNmbzezdZvabo7e5LG46NA63X+3t7WmXIAmsX7Yp7RIkAbU/v5Sdb8ovX0oaS8/MfhX4O+AXwAZgN3A28GMWyKXdxS8zS7sESWAk6MuuZ2p/fik735RfvpS6h/vDwLtDCK8A+uN//yOwYAbg1TjcfjU2NqZdgiSwr0vHb3um9ueXsvNN+eVLqR3uU0MI/1A07cvAO2e5nhnTONx+6Wc139Y3n5t2CZKA2p9fys435ZcvpXa4D5nZ6NH9+8zs1cBpwIIZ/FrjcPtVV1eXdgmSQFvvvrRLkATU/vxSdr4pv3wptcP9WeDC+O9PAHcDDwKfmYuiJF80pKNv5YuWpF2CJKD255ey80355UtJBz6HED5a8Pffmtl2oDqE8GipKzKzbcAnifaKfy6E8BdF85cQXblyE9AJvD2EsK9g/qnAI8DNIYT/Wfz8euP61d/fz7Jly9IuQ2aoqfpk9nY9mHYZE7rqY1OPonLrjQvmdJR5p/bnl7LzTfnly3SGBSwzswvM7EpgFfDEdB4LfBp4A3AWcLWZnVW02HuAwyGEdUR70T9aNP8TwHcmWofG4farpaUl7RIkgd1t96ZdgiSg9ueXsvNN+eVLSR1uMzuHaEjAfwD+IP73F2a2scT1bAb2hBCeDCEMAbcClxctcznRiZgAXwe2WjxmTjws4ZNEwxGOSydN+tXW1pZ2CZLAhpYtaZcgCaj9+aXsfFN++VLqHu4vEO2hXhlC2AysBD5F6WNwrwSeLrj/TDxt3GVCCMNAN9BkZtXAHwJ/OtkKNJ6lX/p1wrfBo/1plyAJqP35pex8U375Uurg1euBvwwhBIAQQjCzTwI3l/j48XrDocRl/hT4RAihb7JO9eHDh7ngggtYvHgxIyMjXHHFFVx//fW0tbVRXV1NWVkZPT09NDc309XVRQiB5uZmDh48SE1NDQB9fX2sWLGC9vZ2zIzGxkba29upq6tjZGSE/v5+WlpaaGtro7y8nPr6ejo6Oqivr2doaIiBgYGx+RUVFdTW1tLZ2UlDQwMDAwMMDg6Oza+srKSqqorDhw/T1NREb28vQ0NDY/OrqqqoqKigu7ubZcuW0d3dzdGjR8fmZ2mb6uvraW1tnddtuuWb17KhZQv9Qz0c6tvP2saz2X/kMZZWLqeuspHdbffywSu+NLZNm1dt46muh1lecyrVFXXsbruXDS1bODLQTv9QNyvr19Hf3093dzebV20bm9/Z/xxHj71AS+0anmjfxZrGDZTZYgYHBzl48CBrGjYAsLxmFY8e2sH6ZZsYCcPs69rN+uZzaevdR0dHB/39/VSX17GhZQuDR/s50LOH05o2cqB7D9UV9SytamZ32720trZSUVFBc/Up427ThpYt9Ax2cWTwEK2trTQ1NbFhxZYJt2lv54OsrFtHa2vr2Gt6WuPG47apdkkjm1a+nic6dnLm8s10dnaO5VS7pHHcbSpftISm6pPHai4vL6fppJPH3abCnFpbW2loaOCM5s3jbtOpS88Yy2m05s2rto27TZXl1WOP7+joyEx7mu5nxPPPP8/g4GCmtimLOY23Tc8//zyHDx/O1DZlMaeJtimEQH9/f6a2KYs5jbdNM2FxH3ryhcxuBW4LIXyrYNqvEp3YeHUJj3810cmOl8X3/wgghPDnBcvcFS/zUzNbDLQBzcA9RMeMAywFjgEfDCF8qnAd27dvDxs3lnqEiywkra2trF69el7XOd0T6aazfJaXHW/5zau2sePpO0tadrbqmMvty5s02p/MDmXnm/Lza9euXTu3bt163nQeM+EebjP7Ci/uhS4DbjWznUSHfawiGk3kH0tcz33A6Wa2FjgAXAVcU7TM7cC7gJ8CbwN+EO9Rf01BTTcDfcWdbdA43J7V19enXYIkcKB7T9olSAJqf34pO9+UX75MdkhJ8f+iDxf8/QhwV6krCSEMm9kN8WPKgC+EEHab2S3A/SGE24HPA18xsz1AF1GnvGSl7KmXhWmmP8/IwlBdof80PFP780vZ+ab88mXCDncIYdKTFKcrhHAHcEfRtA8W/D0IXDnFc9w80bxjx44lrFDSMjAwkHYJksDSqua0S5AE1P78Una+Kb98KfWkSczsEuAdRKOJHAD+LoTwg7kqbLp0tq9fGovUN43D7Zvan1/Kzjflly+ljsN9HXAb0YmM3wSeA75qZu+dw9qmReNw+6WxSH3TONy+qf35pex8U375Uuoe7huB14cQxq7fbGa3Ad8APjsXhU3XokUlXzRTFpiKioq0S5AE+od60i5BElD780vZ+ab88qXUXmoT0YmShR4HGme3nJlTh9uv2tratEuQBA717U+7BElA7c8vZeeb8suXUnupPwY+bmYnAcRXf/wfwII5eHN4eDjtEmSGRi+UIj6tbTw77RIkAbU/v5Sdb8ovX0rtcP828DKg28wOAkeAjcBvzVVh07V4ccnnf8oC09DQkHYJksD+I4+lXYIkoPbnl7LzTfnly5Qdbouup14F/DKwFngzsDaE8NoQwrNzXF/JNCygXxoaybellcvTLkESUPvzS9n5pvzyZcrdwiGEYGY/B2pDCM8Az8x9WdOnDrdfg4ODaZcgCdRVLphTOWQG1P78Una+Kb98KfWQkgeA9XNZSFIah9svjUXqm8bh9k3tzy9l55vyy5dSO9zbgTvN7GYze4+Z/ebobQ5rmxaNw+2XxiL1TeNw+6b255ey80355UupZxpeADwFvLZoegC+MKsVzZCGBfSrsrIy7RIkgZ7BrrRLkATU/vxSdr4pv3wpqcMdQrhkrgtJSh1uv6qqqtIuQRI4Mngo7RIkAbU/v5Sdb8ovXybtpZrZSWb2ETO7PT6cZMl8FTZdGofbr8OHD6ddgiRw6tIz0i5BElD780vZ+ab88mWq3cKfIhoG8DHgbcD/nPOKZkjjcPvV1NSUdgmSwFNdD6ddgiSg9ueXsvNN+eXLVB3uNwCXhhBujP9+09yXNDMaFtCv3t7etEuQBJbXnJp2CZKA2p9fys435ZcvU3W4q0MIzwGEEJ4G6ue+pJlRh9uvoaGhtEuQBKor6tIuQRJQ+/NL2fmm/PJlquMwFpvZJYBNcJ8Qwg/mqrjp0DjcfmksUt80Drdvan9+KTvflF++TLWH+xDRsH+fj2+dRfc/N6fVTYPG4fZLY5H6pnG4fVP780vZ+ab88mXSPdwhhDXzVEdiGhbQLw2N5NuRgfa0S5g1V31s05TL3HrjznmoZP6o/fml7HxTfvmSmV6qmU29kCxIFRUVaZcgCfQPdaddgiSg9ueXsvNN+eVLZjrcIyMjaZcgM9TdrQ6bZyvr16VdgiSg9ueXsvNN+eVLZjrcGofbr2XLlqVdgiSwt/PBtEuQBNT+/FJ2vim/fMlMh1t7uP3St3zfVtZpD7dnan9+KTvflF++ZKbDHUJIuwSZIY0w41tleXXaJUgCan9+KTvflF++ZKbDrXG4/dJYpL5pHG7f1P78Una+Kb98yUyHW98U/dJYpL5pHG7f1P78Una+Kb98yUyHu6ysLO0SZIaqq3VIgmed/c+lXYIkoPbnl7LzTfnlS2Y63OKXviz5dvTYC2mXIAmo/fml7HxTfvmSmQ63Rinxq6enJ+0SJIGW2jVplyAJqP35pex8U375kpkOt06a9Ku5uTntEiSBJ9p3pV2CJKD255ey80355UtmOtzDw8NplyAz1NXVlXYJksCaxg1plyAJqP35pex8U375kpkOt/ilMdR9KzNd5dUztT+/lJ1vyi9fMtPh1qXd/dLPar490bEz7RIkAbU/v5Sdb8ovXzLT4dY43H4dPHgw7RIkgTOXb067BElA7c8vZeeb8suXzOwW1vA6ftXU1MzK81z1sU1TLnPrjdobO9sO9T2ddgmSwGy1P5l/ys435ZcvmdnDLSIiIiKyEGWmw61xuP3q6+tLuwRJYHnNqrRLkATU/vxSdr4pv3zJTIdb43D7tWLFirRLkAQePbQj7RIkAbU/v5Sdb8ovXzLT4dY43H61t7enXYIksH7Z1MfOy8Kl9ueXsvNN+eVLZk6aFL/MLO0SJIGRkN8vu1OdqOvhJF21P7+UnW/KL18ys4db43D71djYmHYJksC+rt1plyAJqP35pex8U375kpkOt8bh9ks/q/m2vvnctEuQBNT+/FJ2vim/fMlMh1vjcPtVV1eXdgmSQFvvvrRLkATU/vxSdr4pv3zJTIdb/NKQjr6VL1qSdgmSgNqfX8rON+WXL5npcOuN61d/f3/aJUgCTdUnp12CJKD255ey80355UtmOtwah9uvlpaWtEuQBHa33Zt2CZKA2p9fys435Zcv89bhNrNtZva4me0xs5vGmb/EzG6L5//MzNbE019vZjvN7Ofxv68b7/l10qRfbW1taZcgCWxo2ZJ2CZKA2p9fys435Zcv89LhNrMy4NPAG4CzgKvN7Kyixd4DHA4hrAM+AXw0nt4BvDmE8DLgXcBXJljHXJQu80C/Tvg2eFQ/i3qm9ueXsvNN+eXLfO3h3gzsCSE8GUIYAm4FLi9a5nLgy/HfXwe2mpmFEB4IITwbT98NVJrZCWdpaZQSv+rr69MuQRI40LMn7RIkAbU/v5Sdb8ovX+brajErgacL7j8DvGqiZUIIw2bWDTQR7eEe9R+AB0IILxSvoL29nQsuuIDFixczMjLCFVdcwfXXX09bWxvV1dWUlZXR09NDc3MzXV1dhBBobm7m4MGD1NTUANDX18eKFStob2/HzGhsbKS9vZ26ujpGRkbo7++npaWFtrY2ysvLqa+vp6Ojg/r6eoaGhhgYGBibX1FRQW1tLZ2dnTQ0NDAwMMDg4ODY/MrKSqqqqjh8+DBNTU309vYyNDQ0Nr+qqoqKigq6u7tZtmwZ3d3dHD16dGx+lrZpZGSEsrKyxNt06tIzKF+0hKbqk9nddi8bWrYweLSfAz17OK1pIwe693Do0CEGBgaoLq9jQ8sW+od6ONS3n7WNZ7P/yGMsrVxOXWUju9vupbW1dWybNq/axlNdD7O85lSqK+rGnv/IQDv9Q92srF9Hf38/3d3dbF61bWx+Z/9zHD32Ai21a3iifRdrGjdQZosZHBzk4MGDrGnYAMDymlU8emgH65dtYiQMs69rsOwGJAAAFPNJREFUN+ubz6Wtdx8dHR309/eP1Vy8TdUV9Sytah6ruaKigubqU8bdpg0tW+gZ7OLI4CFaW1tpampiw4otE27T3s4HWVm3jtbW1rEcT2vceNw2XbDmcg507+WJjp2cuXwznZ2dYznVLmkcd5sKc2ptbaW8vJymk04ed5sKc2ptbaWhoYEzmjePu02nLj1jLKfRmjev2jbuNlWWV489vqOjg7KyMjav2nZcTqPbdKjv6bGcBgcHx957SyuXj7tNozn19/cv+M+IAwcOsH79+gX9GZHFz73Z2Ka9e/eyatWqTG1TFnOaaJt6e3tZu3ZtprYpizmNt00zYSGEGT1wWisxuxK4LIRwXXz/HcDmEML7CpbZHS/zTHx/b7xMZ3x/A3A7cGkIYW/xOn70ox+Fs88+e863RWbfkSNHWLp0aeLnmeoy2/Dipbans+xcPre3ZcdbfmXduuP2cufldStleQ+Xdp+t9ifzT9n5pvz82rVr186tW7eeN53HzNchJc8AqwrunwI8O9EyZrYYqAe64vunAN8C3jleZxtgPr44yNyY6bdFWRiqK/SzqGdqf34pO9+UX77MV4f7PuB0M1trZhXAVUR7qwvdTnRSJMDbgB+EEIKZLQX+BfijEMJPJlrBsWPH5qBsmQ8DAwNplyAJLK1qTrsESUDtzy9l55vyy5d56XCHEIaBG4C7gEeBr4UQdpvZLWb2lnixzwNNZrYH+H1gdOjAG4B1wJ+Y2b/Ht+XF69DZvn5pLFLfNA63b2p/fik735RfvszbONwhhDtCCOtDCKeFEP4snvbBEMLt8d+DIYQrQwjrQgibQwhPxtM/HEKoDiG8vOB2qPj5NQ63XxqL1DeNw+2b2p9fys435ZcvmbnS5KJFmdmU3KmoqEi7BEmgf6gn7RIkAbU/v5Sdb8ovXzLTS1WH26/a2tq0S5AEDvXtT7sESUDtzy9l55vyy5f5God7zg0PD6ddgsxQZ2fn2NiY4s/axrNp738m7TIWvOkOOThf1P78Una+Kb98ycxu4cWLM/PdIXcaGhrSLkES2H/ksbRLkATU/vxSdr4pv3zJTIdbwwL6paGRfFtaecKgQeKI2p9fys435Zcv6nBL6gYHB9MuQRKoq2xMuwRJQO3PL2Xnm/LLl8x0uDUOt18ai9Q3jcPtm9qfX8rON+WXL5npcGscbr80FqlvGofbN7U/v5Sdb8ovXzLT4dawgH5VVlamXYIk0DPYlXYJkoDan1/Kzjflly+ZGdpDHW6/qqqqJpy3UIdSkxcdGTzhwq/iyGTtTxY2Zeeb8suXzPRSNQ63X4cPH067BEng1KVnpF2CJKD255ey80355UtmOtwah9uvpqamtEuQBJ7qejjtEiQBtT+/lJ1vyi9fMtPh1rCAfvX29qZdgiSwvObUtEuQBNT+/FJ2vim/fFGHW1I3NDSUdgmSQHVFXdolSAJqf34pO9+UX75kpsOtcbj90likvmkcbt/U/vxSdr4pv3zJzIHPGofbr7a2NlavXp12GTJDG1q2sOPpO9MuI1Pmc3QetT+/lJ1vyi9fMrOHW8MC+qWhkXw7MtCedgmSgNqfX8rON+WXL5nppZpZ2iXIDFVUVKRdgiTQP9SddgmSgNqfX8rON+WXL5npcI+MjKRdgsxQd7c6bJ6trF+XdgmSgNqfX8rON+WXL5npcGscbr+WLVuWdgmSwN7OB9MuQRJQ+/NL2fmm/PIlMx1u7eH2S9/yfVtZpz3cnqn9+aXsfFN++ZKZDncIIe0SZIY0woxvleXVaZcgCaj9+aXsfFN++ZKZDrfG4fZLY5H6pnG4fVP780vZ+ab88iUzHW59U/Srra0t7RIkgQ0tW9IuQRJQ+/NL2fmm/PIlMx3usrKytEuQGaqu1iEJnnX2P5d2CZKA2p9fys435Zcvmelwi1/6suTb0WMvpF2CJKD255ey80355UtmxtLTKCV+9fT00NDQkHYZMkMttWvYf+SxtMvIraSXgVf780vZ+ab88iUze7h10qRfzc3NaZcgCTzRvivtEiQBtT+/lJ1vyi9fMtPhHh4eTrsEmaGurq60S5AE1jRuSLsESUDtzy9l55vyy5fMHFIifhT/BL5p5evZeeC7x02b7CdwWVjKTB8jnukaBn4pO9+UX75kZg+3Lu3u1xMd6lx7pvx808/afik735RfvmSmw61xuP06c/nmtEuQBJSfbwcPHky7BJkhZeeb8suXzHS4NbyOX4f6nk67BElA+flWU1OTdgkyQ8rON+WXLzoOQ0QkJ8YbQnBNwwb2Hd49dl/nT4iIzL7M7OHWONx+La9ZlXYJkoDy8035+dXX15d2CZKA8suXzHS4NQ63X48e2pF2CZKA8vNN+fm1YsWKtEuQBJRfvmSmw61xuP1av2zqK+XJwqX8fFN+frW3t6ddgiSg/PIlMx1u8Wsk6MuSZ8rPN+Xnl5mlXYIkoPzyJTMnTWocbr/2de2eeiFZsJSfbxPlN94JlsV0gmW6Ghsb0y5BElB++ZKZPdwah9uv9c3npl2CJKD8fFN+fumQBN+UX75kZrewxuFOV5K9YW29+2a5GplPys835edXXV1d2iVIAsovXzKzh1v8Kl+0JO0SJAHl55vy80vD4fqm/PIlM3u49cb1q6n6ZPZ2PZh2GTJDys+32chPx3uno7+/n2XLlqVdhsyQ8suXzOzh1jjcfu1uuzftEiQB5eeb8vOrpaUl7RIkAeWXL5nZw62TJv3a0LKFHU/fmXYZMkPKz7c08tMe8dnR1tbG6tWr0y5DZkj55cu87eE2s21m9riZ7TGzm8aZv8TMbovn/8zM1hTM+6N4+uNmdtl4z3/kyJG5K17m1M9++EDaJUgCys835efXt7/97bRLkASUn19dXV3TPhZoXvZwm1kZ8Gng9cAzwH1mdnsI4ZGCxd4DHA4hrDOzq4CPAm83s7OAq4ANwEuA75nZ+hDCcQdtq8M9++ZrL9TOH/+c8166PPHzSDqUn28LPT/tDZ/YN7/5Td7//venXYbMkPLzq6enp3m6j5mvQ0o2A3tCCE8CmNmtwOVAYYf7cuDm+O+vA5+y6DJMlwO3hhBeAJ4ysz3x8/20cAUhhDndAJk7SxaflHYJkoDy8y1L+U2nc56FjvzwsK4S6pnyyxebj46qmb0N2BZCuC6+/w7gVSGEGwqWeThe5pn4/l7gVUSd8H8LIfxdPP3zwHdCCF8vXMc//dM/DR46dGhsr3ddXV17Y2Njx9xumcyGrq6uZcrKL+Xnm/LzS9n5pvz8euGFF37pjW98Y+10HjNfe7htnGnFPf2Jlinlsbz5zW+unEFdIiIiIiJzar5OmnwGWFVw/xTg2YmWMbPFQD3QVeJjRUREREQWpPnqcN8HnG5ma82sgugkyNuLlrkdeFf899uAH4ToeJfbgaviUUzWAqcDO+apbhERERGRROblkJIQwrCZ3QDcBZQBXwgh7DazW4D7Qwi3A58HvhKfFNlF1CknXu5rRCdYDgPXF49QIiIiIiKyUM3LSZNzycy2AZ8k6sh/LoTwFymXJJMwsy8AbwIOhRDOjqc1ArcBa4B9wK+FEA6nVaOMz8xWAX8LtADHgL8JIXxS+flgZpXAPcASop0tXw8h/Pf4l8NbgUZgF/COEMJQepXKROIhdu8HDoQQ3qTs/DCzfUAvMAIMhxDO02enH2a2FPgccDbReYS/CTzONPJzfWn3gvG93wCcBVwdj9stC9eXgG1F024Cvh9COB34fnxfFp5h4L+EEM4Ezgeuj9ub8vPhBeB1IYSNwMuBbWZ2PtE1Dz4R53eY6JoIsjC9H3i04L6y8+WSEMLLQwjnxff12enHJ4E7QwhnABuJ2uG08nPd4aZgfO/4W/3o+N6yQIUQ7iE6ZKjQ5cCX47+/DPzqvBYlJQkhPBdC2BX/3Uv0gbMS5edCiPTFd8vjWwBeR3TtA1B+C5aZnQL8CtFeNuLrVCg73/TZ6YCZ1QEXER36TAhhKIRwhGnm573DvRJ4uuD+M/E08WVFCOE5iDp1wMK97J0AYGZrgFcAP0P5uWFmZWb278Ah4LvAXuBICGH0Chz6DF24/hK4kehwLoD/396dx9pVlWEc/r0MYoFCkZahFEoAGSyRgimoKFYRCKQQooCaShgUQWkURcUWBMUWJCIULJUoWiRYhjCJODBD6lQioAwWA1KgtRNzabVYyusfax26e723vWBvb8/N+yQnd5+9z177O3sl535nnW/tvTnpu3Zi4DZJ90v6XF2Xz872sAPwLDBF0oOSLpO0EW+y/9o94e7WNbojYvWRtDFwPXCK7YW9HU90n+1ltodTLq+6N7BbZy9bs1HFqkhqzXtp3voy///ay76296KUwJ4sab/eDii6bT1gL+CHtvcEFvMWyn/aPeHONbr7hvmStgaofxf0cjzRBUnrU5Ltn9u+oa5O/7WZ+nPoPZRa/AH13geQz9C11b7AYXXi3dWUUpKJpO/ahu059e8C4EbKF958draH2cBs29Pr8+soCfib6r92T7i7c33vWPs1r8F+DPCLXowlulBrRn8CzLB9QWNT+q8NSBpUZ9ojqR/wUUod/t2Uex9A+m+tZHus7SG2t6f8n7vL9mjSd21B0kaS+reWgQOBR8hnZ1uwPQ+YJWmXump/yqWq31T/9YXLAh5C+abfur73hF4OKVZC0lXASGAgMB84C7gJuBbYDngGONJ2x4mV0cskfQCYBjzM8jrScZQ67vTfWk7SuykTe9alDLZca/tsSTuw/NJyDwKftv1q70UaKyNpJPDVelnA9F0bqP10Y326HjDV9gRJm5PPzrYgaThlwvLbgCeB46ifo3Sz/9o+4Y6IiIiIWJu1e0lJRERERMRaLQl3REREREQPSsIdEREREdGDknBHRERERPSgJNwREX2MpEX1ygg9fZxLJX2zp4+zpkk6VtLvejuOiOg71lv1SyIi1n71piBbAsuARcBvgTG2F/VmXD1N0j3AlbYva62zvfGaOLbtk9bEcSIi2l1GuCOiLzm0JpvDgT2Bsb0cT0RERBLuiOh76p3BbqUk3gBI2kDS+ZKekTS/lkP0q9sGSrpF0kuSXpA0TdI6ddtTksZK+pukFyVNkfT2RrsnSHqi7nezpMGNbZZ0kqTH676X1Dt2ImknSfdKelnSc5Kuaey3q6Tba5t/l3RUZ+9T0gTgg8CkWkYyqXHcnery5ZImS/pNfc3vJW0laWKN6TFJezbaHCzpeknPSpop6Ytdnefa9vi6PFLSbEmnSlogaa6k41ay77GSnpT0Sj3O6Ma24yXNqPHdKmloY9uwxrmZL2lco38nSppTHxMlbdCd2CRtXvtuoaT7gB0b2yTpwrrfy5IekrR7V+8rIqIzSbgjos+RNAQ4GHiisfo8YGdKEr4TsA1wZt12KjAbGEQpSxkHNO8KNho4iJKI7QycUY/zEeBc4Chga+Bpyp3/mkYBI4A96usOquu/A9wGbAYMAX5Q29wIuB2YCmwBfAqYLGlYx/dp+3TK3T/H2N7Y9pguTslRNeaBwKvAH4EH6vPrgAvqsdcBfgn8tZ6f/YFTJB3USZud2QrYtO77GeASSZt1fFF9jxcDB9vuD7wf+Evddjjl/H+M0h/TgKvqtv7AHZRyocGUfryzNns68F5K/+4B7F3fc3diuwRYQunD4+uj5UBgP0q/DwA+ATzfzfMREQEk4Y6IvuUmSa8As4AFwFlQRimBE4Av237B9ivAOcAn635LKcnWUNtLbU/zirfhnWR7Vr1t7wRKEgwlEf+p7QfqLbXHAu+TtH1j3+/afsn2M8DdLB91XwoMBQbbXmK7NUlvFPCU7Sm2X7P9AHA9cMT/cV5utH2/7SWUW0wvsX2F7WXANZTyGyhfDAbZPtv2f2w/Cfy4cZ5WZSlwdj2Hv6bU0u/SxWtfB3aX1M/2XNuP1vUnAufanmH7NUo/Da+j3KOAeba/X8/ZK7an1/1G12MvsP0s8G3g6FXFJmld4OPAmbYX234E+FmH/foDu1LuzjzD9txuno+ICCAJd0T0LYfXEdORlARpYF0/CNgQuL+WjbxEGSUdVLd/jzIaflstc/hGh3ZnNZafpoyuUv8+3dpQJ2g+TxlFbZnXWP4X0JrQ+HVAwH2SHpXUGlUdCuzTirPGOpoyQvtWzW8s/7uT562YhgKDOxx7HGXUvzuer0lyS/P9vsH2YspI8UnAXEm/krRrI4aLGsd/gXKetgG2Bf7RxbFX6AtW7KeVxTaIcgGBjn3civUuYBJlFHy+pB9J2qSLGCIiOpWEOyL6HNv3ApcD59dVz1ESy2G2B9THpq2redSR0lNt7wAcCnxF0v6NJrdtLG8HzKnLcygJIvBGqcTmwD+7EeM82yfYHkwZ1Z1c665nAfc24hxQy0U+31VTqzrWmzALmNnh2P1tH7IajwGA7VttH0D5ZeExykh6K4YTO8TQz/Yf6rYdu2hyhb5gxX5amWeB1/jfPm7GerHt9wDDKKUlX+tGuxERb0jCHRF91UTgAEnDbb9OSegulLQFgKRtWrXJkkbVSYwCFlIuLbis0dbJkoZIegdlxLc1wXEqcJyk4XWC3jnAdNtPrSo4SUfWWnOAFymJ8zLgFmBnSUdLWr8+RkjarYum5gOr65rb9wELJZ0mqZ+kdSXtLmnEamofAElbSjqsfkF5lVLe0TrflwJjWzXrkjaVdGTddguwlaRT6iTJ/pL2qduuAs6QNEjSQEp9/pWriqWW1dwAfEvShpLeBRzTiHWEpH0krQ8sptR6L+u8tYiIziXhjog+qdbxXgG0bsxyGqVs5E+SFlIm37Xqi99Zny+iTCicbPueRnNTKRMcn6yP8fUYd9b2rwfmUkZfu1vvPAKYLmkRcDPwJdsza335gbWdOZSSlPOADbpo5yLgiHpFj4u7eexO1eTzUEqd+UzKLwOXUSYbrk7rUCaqzqGUjHwI+EKN4UbK+7269tMjlAmw1HNzQI1xHvA48OHa5njgz8BDwMOUSaHjuxnPGEp5yTzKLyNTGts2oXxZe5FSavI8y385iYjoFq04LygiIppUbqjzWdt39HYsERHRnjLCHRERERHRg5JwR0RERET0oJSURERERET0oIxwR0RERET0oCTcERERERE9KAl3REREREQPSsIdEREREdGDknBHRERERPSgJNwRERERET3ov+NYPHRs4jU8AAAAAElFTkSuQmCC\n", + "text/plain": [ + " " + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(12,5))\n", + "ax = fig.add_subplot(111)\n", + "x_lim = 60\n", + "mu = np.int(freq_results['x'])\n", + "\n", + "for i in np.arange(x_lim):\n", + " plt.bar(i, stats.poisson.pmf(mu, i), color=colors[3])\n", + "\n", + "_ = ax.set_xlim(0, x_lim)\n", + "_ = ax.set_ylim(0, 0.1)\n", + "_ = ax.set_xlabel('Response time in seconds')\n", + "_ = ax.set_ylabel('Probability mass')\n", + "_ = ax.set_title('Estimated Poisson distribution for Hangout chat response time')\n", + "_ = plt.legend(['$lambda$ = %s' % mu])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.3" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +}