{"id":6088,"date":"2017-03-17T02:13:43","date_gmt":"2017-03-17T06:13:43","guid":{"rendered":"http:\/\/www.decisionsciencenews.com\/?p=6088"},"modified":"2017-03-17T12:40:59","modified_gmt":"2017-03-17T16:40:59","slug":"many-digits-pi-need-go-find-birthday","status":"publish","type":"post","link":"https:\/\/www.decisionsciencenews.com\/?p=6088","title":{"rendered":"How many digits into pi do you need to go to find your birthday?"},"content":{"rendered":"

FIND YOUR BIRTHDAY IN PI, IN THREE DIFFERENT FORMATS<\/p>\n

\n\"\"<\/a><\/p>\n

It was Pi Day<\/a> (March 14, like 3\/14, like 3.14, get it?) recently and Time Magazine did a fun interactive app<\/a> in which you can find your birthday inside the digits of pi. <\/p>\n

However:
\n1) They only used one format of birthday, in which July 4th would be 704. But there are other ways to write July 4. Like 0704 or 74. And those must be investigated, right?
\n2) Our friend Dave Pennock said he wanted to see the locations of every possible birthday inside pi.<\/p>\n

So here they are. Enjoy! And R code below if you are interested. Plot and other stuff use Hadley Wickham’s<\/a> Tidyverse<\/a> tools.<\/p>\n

And what the heck, have a spreadsheet of fun<\/a> (i.e., spreadsheet with all the birthdays and locations in it). And here are 100,000 digits of pi, too<\/a>.<\/p>\n

ADDENDUM
\nJust for completeness, let’s redo that plot using 100,000 random numbers instead of the digits of pi.<\/p>\n

\n\"\"<\/a>\n<\/p>\n

Yep, pretty similar!<\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Birthday<\/td>\nlocation<\/td>\nShorter form<\/td>\nlocation<\/td>\nShortest form<\/td>\nloc<\/td>\n<\/tr>\n
01-01<\/td>\n2563<\/td>\n1-01<\/td>\n853<\/td>\n1-1<\/td>\n95<\/td>\n<\/tr>\n
01-02<\/td>\n6599<\/td>\n1-02<\/td>\n164<\/td>\n1-2<\/td>\n149<\/td>\n<\/tr>\n
01-03<\/td>\n25991<\/td>\n1-03<\/td>\n3487<\/td>\n1-3<\/td>\n111<\/td>\n<\/tr>\n
01-04<\/td>\n1219<\/td>\n1-04<\/td>\n270<\/td>\n1-4<\/td>\n2<\/td>\n<\/tr>\n
01-05<\/td>\n3982<\/td>\n1-05<\/td>\n50<\/td>\n1-5<\/td>\n4<\/td>\n<\/tr>\n
01-06<\/td>\n1011<\/td>\n1-06<\/td>\n1012<\/td>\n1-6<\/td>\n41<\/td>\n<\/tr>\n
01-07<\/td>\n23236<\/td>\n1-07<\/td>\n1488<\/td>\n1-7<\/td>\n96<\/td>\n<\/tr>\n
01-08<\/td>\n16216<\/td>\n1-08<\/td>\n2535<\/td>\n1-8<\/td>\n425<\/td>\n<\/tr>\n
01-09<\/td>\n4555<\/td>\n1-09<\/td>\n207<\/td>\n1-9<\/td>\n38<\/td>\n<\/tr>\n
01-10<\/td>\n3253<\/td>\n1-10<\/td>\n175<\/td>\n1-10<\/td>\n175<\/td>\n<\/tr>\n
01-11<\/td>\n19627<\/td>\n1-11<\/td>\n154<\/td>\n1-11<\/td>\n154<\/td>\n<\/tr>\n
01-12<\/td>\n4449<\/td>\n1-12<\/td>\n710<\/td>\n1-12<\/td>\n710<\/td>\n<\/tr>\n
01-13<\/td>\n362<\/td>\n1-13<\/td>\n363<\/td>\n1-13<\/td>\n363<\/td>\n<\/tr>\n
01-14<\/td>\n4678<\/td>\n1-14<\/td>\n2725<\/td>\n1-14<\/td>\n2725<\/td>\n<\/tr>\n
01-15<\/td>\n27576<\/td>\n1-15<\/td>\n922<\/td>\n1-15<\/td>\n922<\/td>\n<\/tr>\n
01-16<\/td>\n5776<\/td>\n1-16<\/td>\n396<\/td>\n1-16<\/td>\n396<\/td>\n<\/tr>\n
01-17<\/td>\n6290<\/td>\n1-17<\/td>\n95<\/td>\n1-17<\/td>\n95<\/td>\n<\/tr>\n
01-18<\/td>\n7721<\/td>\n1-18<\/td>\n446<\/td>\n1-18<\/td>\n446<\/td>\n<\/tr>\n
01-19<\/td>\n494<\/td>\n1-19<\/td>\n495<\/td>\n1-19<\/td>\n495<\/td>\n<\/tr>\n
01-20<\/td>\n43172<\/td>\n1-20<\/td>\n244<\/td>\n1-20<\/td>\n244<\/td>\n<\/tr>\n
01-21<\/td>\n6305<\/td>\n1-21<\/td>\n711<\/td>\n1-21<\/td>\n711<\/td>\n<\/tr>\n
01-22<\/td>\n660<\/td>\n1-22<\/td>\n484<\/td>\n1-22<\/td>\n484<\/td>\n<\/tr>\n
01-23<\/td>\n27847<\/td>\n1-23<\/td>\n1925<\/td>\n1-23<\/td>\n1925<\/td>\n<\/tr>\n
01-24<\/td>\n8619<\/td>\n1-24<\/td>\n1081<\/td>\n1-24<\/td>\n1081<\/td>\n<\/tr>\n
01-25<\/td>\n15458<\/td>\n1-25<\/td>\n1351<\/td>\n1-25<\/td>\n1351<\/td>\n<\/tr>\n
01-26<\/td>\n4372<\/td>\n1-26<\/td>\n2014<\/td>\n1-26<\/td>\n2014<\/td>\n<\/tr>\n
01-27<\/td>\n9693<\/td>\n1-27<\/td>\n298<\/td>\n1-27<\/td>\n298<\/td>\n<\/tr>\n
01-28<\/td>\n1199<\/td>\n1-28<\/td>\n149<\/td>\n1-28<\/td>\n149<\/td>\n<\/tr>\n
01-29<\/td>\n2341<\/td>\n1-29<\/td>\n500<\/td>\n1-29<\/td>\n500<\/td>\n<\/tr>\n
01-30<\/td>\n5748<\/td>\n1-30<\/td>\n745<\/td>\n1-30<\/td>\n745<\/td>\n<\/tr>\n
01-31<\/td>\n5742<\/td>\n1-31<\/td>\n1097<\/td>\n1-31<\/td>\n1097<\/td>\n<\/tr>\n
02-01<\/td>\n9803<\/td>\n2-01<\/td>\n245<\/td>\n2-1<\/td>\n94<\/td>\n<\/tr>\n
02-02<\/td>\n7287<\/td>\n2-02<\/td>\n1514<\/td>\n2-2<\/td>\n136<\/td>\n<\/tr>\n
02-03<\/td>\n3831<\/td>\n2-03<\/td>\n1051<\/td>\n2-3<\/td>\n17<\/td>\n<\/tr>\n
02-04<\/td>\n28185<\/td>\n2-04<\/td>\n375<\/td>\n2-4<\/td>\n293<\/td>\n<\/tr>\n
02-05<\/td>\n12631<\/td>\n2-05<\/td>\n1327<\/td>\n2-5<\/td>\n90<\/td>\n<\/tr>\n
02-06<\/td>\n9809<\/td>\n2-06<\/td>\n885<\/td>\n2-6<\/td>\n7<\/td>\n<\/tr>\n
02-07<\/td>\n14839<\/td>\n2-07<\/td>\n2374<\/td>\n2-7<\/td>\n29<\/td>\n<\/tr>\n
02-08<\/td>\n6141<\/td>\n2-08<\/td>\n77<\/td>\n2-8<\/td>\n34<\/td>\n<\/tr>\n
02-09<\/td>\n24361<\/td>\n2-09<\/td>\n54<\/td>\n2-9<\/td>\n187<\/td>\n<\/tr>\n
02-10<\/td>\n9918<\/td>\n2-10<\/td>\n1318<\/td>\n2-10<\/td>\n1318<\/td>\n<\/tr>\n
02-11<\/td>\n4353<\/td>\n2-11<\/td>\n94<\/td>\n2-11<\/td>\n94<\/td>\n<\/tr>\n
02-12<\/td>\n30474<\/td>\n2-12<\/td>\n712<\/td>\n2-12<\/td>\n712<\/td>\n<\/tr>\n
02-13<\/td>\n524<\/td>\n2-13<\/td>\n281<\/td>\n2-13<\/td>\n281<\/td>\n<\/tr>\n
02-14<\/td>\n10340<\/td>\n2-14<\/td>\n103<\/td>\n2-14<\/td>\n103<\/td>\n<\/tr>\n
02-15<\/td>\n24666<\/td>\n2-15<\/td>\n3099<\/td>\n2-15<\/td>\n3099<\/td>\n<\/tr>\n
02-16<\/td>\n4384<\/td>\n2-16<\/td>\n992<\/td>\n2-16<\/td>\n992<\/td>\n<\/tr>\n
02-17<\/td>\n546<\/td>\n2-17<\/td>\n547<\/td>\n2-17<\/td>\n547<\/td>\n<\/tr>\n
02-18<\/td>\n2866<\/td>\n2-18<\/td>\n424<\/td>\n2-18<\/td>\n424<\/td>\n<\/tr>\n
02-19<\/td>\n716<\/td>\n2-19<\/td>\n717<\/td>\n2-19<\/td>\n717<\/td>\n<\/tr>\n
02-20<\/td>\n15715<\/td>\n2-20<\/td>\n1911<\/td>\n2-20<\/td>\n1911<\/td>\n<\/tr>\n
02-21<\/td>\n17954<\/td>\n2-21<\/td>\n1737<\/td>\n2-21<\/td>\n1737<\/td>\n<\/tr>\n
02-22<\/td>\n1889<\/td>\n2-22<\/td>\n1736<\/td>\n2-22<\/td>\n1736<\/td>\n<\/tr>\n
02-23<\/td>\n25113<\/td>\n2-23<\/td>\n136<\/td>\n2-23<\/td>\n136<\/td>\n<\/tr>\n
02-24<\/td>\n12782<\/td>\n2-24<\/td>\n536<\/td>\n2-24<\/td>\n536<\/td>\n<\/tr>\n
02-25<\/td>\n3019<\/td>\n2-25<\/td>\n1071<\/td>\n2-25<\/td>\n1071<\/td>\n<\/tr>\n
02-26<\/td>\n6742<\/td>\n2-26<\/td>\n965<\/td>\n2-26<\/td>\n965<\/td>\n<\/tr>\n
02-27<\/td>\n18581<\/td>\n2-27<\/td>\n485<\/td>\n2-27<\/td>\n485<\/td>\n<\/tr>\n
02-28<\/td>\n4768<\/td>\n2-28<\/td>\n2528<\/td>\n2-28<\/td>\n2528<\/td>\n<\/tr>\n
02-29<\/td>\n6707<\/td>\n2-29<\/td>\n186<\/td>\n2-29<\/td>\n186<\/td>\n<\/tr>\n
03-01<\/td>\n1045<\/td>\n3-01<\/td>\n493<\/td>\n3-1<\/td>\n1<\/td>\n<\/tr>\n
03-02<\/td>\n1439<\/td>\n3-02<\/td>\n818<\/td>\n3-2<\/td>\n16<\/td>\n<\/tr>\n
03-03<\/td>\n15339<\/td>\n3-03<\/td>\n195<\/td>\n3-3<\/td>\n25<\/td>\n<\/tr>\n
03-04<\/td>\n4460<\/td>\n3-04<\/td>\n4461<\/td>\n3-4<\/td>\n87<\/td>\n<\/tr>\n
03-05<\/td>\n29985<\/td>\n3-05<\/td>\n366<\/td>\n3-5<\/td>\n10<\/td>\n<\/tr>\n
03-06<\/td>\n3102<\/td>\n3-06<\/td>\n116<\/td>\n3-6<\/td>\n286<\/td>\n<\/tr>\n
03-07<\/td>\n3813<\/td>\n3-07<\/td>\n65<\/td>\n3-7<\/td>\n47<\/td>\n<\/tr>\n
03-08<\/td>\n35207<\/td>\n3-08<\/td>\n520<\/td>\n3-8<\/td>\n18<\/td>\n<\/tr>\n
03-09<\/td>\n5584<\/td>\n3-09<\/td>\n421<\/td>\n3-9<\/td>\n44<\/td>\n<\/tr>\n
03-10<\/td>\n7692<\/td>\n3-10<\/td>\n442<\/td>\n3-10<\/td>\n442<\/td>\n<\/tr>\n
03-11<\/td>\n11254<\/td>\n3-11<\/td>\n846<\/td>\n3-11<\/td>\n846<\/td>\n<\/tr>\n
03-12<\/td>\n11647<\/td>\n3-12<\/td>\n2632<\/td>\n3-12<\/td>\n2632<\/td>\n<\/tr>\n
03-13<\/td>\n858<\/td>\n3-13<\/td>\n859<\/td>\n3-13<\/td>\n859<\/td>\n<\/tr>\n
03-14<\/td>\n3496<\/td>\n3-14<\/td>\n1<\/td>\n3-14<\/td>\n1<\/td>\n<\/tr>\n
03-15<\/td>\n8285<\/td>\n3-15<\/td>\n314<\/td>\n3-15<\/td>\n314<\/td>\n<\/tr>\n
03-16<\/td>\n13008<\/td>\n3-16<\/td>\n238<\/td>\n3-16<\/td>\n238<\/td>\n<\/tr>\n
03-17<\/td>\n4778<\/td>\n3-17<\/td>\n138<\/td>\n3-17<\/td>\n138<\/td>\n<\/tr>\n
03-18<\/td>\n7291<\/td>\n3-18<\/td>\n797<\/td>\n3-18<\/td>\n797<\/td>\n<\/tr>\n
03-19<\/td>\n4530<\/td>\n3-19<\/td>\n1166<\/td>\n3-19<\/td>\n1166<\/td>\n<\/tr>\n
03-20<\/td>\n3767<\/td>\n3-20<\/td>\n600<\/td>\n3-20<\/td>\n600<\/td>\n<\/tr>\n
03-21<\/td>\n18810<\/td>\n3-21<\/td>\n960<\/td>\n3-21<\/td>\n960<\/td>\n<\/tr>\n
03-22<\/td>\n12744<\/td>\n3-22<\/td>\n3434<\/td>\n3-22<\/td>\n3434<\/td>\n<\/tr>\n
03-23<\/td>\n8948<\/td>\n3-23<\/td>\n16<\/td>\n3-23<\/td>\n16<\/td>\n<\/tr>\n
03-24<\/td>\n16475<\/td>\n3-24<\/td>\n2495<\/td>\n3-24<\/td>\n2495<\/td>\n<\/tr>\n
03-25<\/td>\n12524<\/td>\n3-25<\/td>\n3147<\/td>\n3-25<\/td>\n3147<\/td>\n<\/tr>\n
03-26<\/td>\n7634<\/td>\n3-26<\/td>\n275<\/td>\n3-26<\/td>\n275<\/td>\n<\/tr>\n
03-27<\/td>\n9208<\/td>\n3-27<\/td>\n28<\/td>\n3-27<\/td>\n28<\/td>\n<\/tr>\n
03-28<\/td>\n24341<\/td>\n3-28<\/td>\n112<\/td>\n3-28<\/td>\n112<\/td>\n<\/tr>\n
03-29<\/td>\n16096<\/td>\n3-29<\/td>\n3333<\/td>\n3-29<\/td>\n3333<\/td>\n<\/tr>\n
03-30<\/td>\n2568<\/td>\n3-30<\/td>\n365<\/td>\n3-30<\/td>\n365<\/td>\n<\/tr>\n
03-31<\/td>\n13852<\/td>\n3-31<\/td>\n1128<\/td>\n3-31<\/td>\n1128<\/td>\n<\/tr>\n
04-01<\/td>\n19625<\/td>\n4-01<\/td>\n1198<\/td>\n4-1<\/td>\n3<\/td>\n<\/tr>\n
04-02<\/td>\n17679<\/td>\n4-02<\/td>\n1368<\/td>\n4-2<\/td>\n93<\/td>\n<\/tr>\n
04-03<\/td>\n4776<\/td>\n4-03<\/td>\n724<\/td>\n4-3<\/td>\n24<\/td>\n<\/tr>\n
04-04<\/td>\n1272<\/td>\n4-04<\/td>\n1273<\/td>\n4-4<\/td>\n60<\/td>\n<\/tr>\n
04-05<\/td>\n10748<\/td>\n4-05<\/td>\n596<\/td>\n4-5<\/td>\n61<\/td>\n<\/tr>\n
04-06<\/td>\n39577<\/td>\n4-06<\/td>\n71<\/td>\n4-6<\/td>\n20<\/td>\n<\/tr>\n
04-07<\/td>\n4258<\/td>\n4-07<\/td>\n2008<\/td>\n4-7<\/td>\n120<\/td>\n<\/tr>\n
04-08<\/td>\n5602<\/td>\n4-08<\/td>\n146<\/td>\n4-8<\/td>\n88<\/td>\n<\/tr>\n
04-09<\/td>\n33757<\/td>\n4-09<\/td>\n340<\/td>\n4-9<\/td>\n58<\/td>\n<\/tr>\n
04-10<\/td>\n11495<\/td>\n4-10<\/td>\n163<\/td>\n4-10<\/td>\n163<\/td>\n<\/tr>\n
04-11<\/td>\n9655<\/td>\n4-11<\/td>\n2497<\/td>\n4-11<\/td>\n2497<\/td>\n<\/tr>\n
04-12<\/td>\n20103<\/td>\n4-12<\/td>\n297<\/td>\n4-12<\/td>\n297<\/td>\n<\/tr>\n
04-13<\/td>\n6460<\/td>\n4-13<\/td>\n1076<\/td>\n4-13<\/td>\n1076<\/td>\n<\/tr>\n
04-14<\/td>\n3756<\/td>\n4-14<\/td>\n385<\/td>\n4-14<\/td>\n385<\/td>\n<\/tr>\n
04-15<\/td>\n7735<\/td>\n4-15<\/td>\n3<\/td>\n4-15<\/td>\n3<\/td>\n<\/tr>\n
04-16<\/td>\n10206<\/td>\n4-16<\/td>\n1709<\/td>\n4-16<\/td>\n1709<\/td>\n<\/tr>\n
04-17<\/td>\n15509<\/td>\n4-17<\/td>\n1419<\/td>\n4-17<\/td>\n1419<\/td>\n<\/tr>\n
04-18<\/td>\n7847<\/td>\n4-18<\/td>\n728<\/td>\n4-18<\/td>\n728<\/td>\n<\/tr>\n
04-19<\/td>\n4790<\/td>\n4-19<\/td>\n37<\/td>\n4-19<\/td>\n37<\/td>\n<\/tr>\n
04-20<\/td>\n3286<\/td>\n4-20<\/td>\n702<\/td>\n4-20<\/td>\n702<\/td>\n<\/tr>\n
04-21<\/td>\n16028<\/td>\n4-21<\/td>\n93<\/td>\n4-21<\/td>\n93<\/td>\n<\/tr>\n
04-22<\/td>\n4796<\/td>\n4-22<\/td>\n1840<\/td>\n4-22<\/td>\n1840<\/td>\n<\/tr>\n
04-23<\/td>\n8220<\/td>\n4-23<\/td>\n2995<\/td>\n4-23<\/td>\n2995<\/td>\n<\/tr>\n
04-24<\/td>\n1878<\/td>\n4-24<\/td>\n1110<\/td>\n4-24<\/td>\n1110<\/td>\n<\/tr>\n
04-25<\/td>\n5716<\/td>\n4-25<\/td>\n822<\/td>\n4-25<\/td>\n822<\/td>\n<\/tr>\n
04-26<\/td>\n1392<\/td>\n4-26<\/td>\n1393<\/td>\n4-26<\/td>\n1393<\/td>\n<\/tr>\n
04-27<\/td>\n36946<\/td>\n4-27<\/td>\n630<\/td>\n4-27<\/td>\n630<\/td>\n<\/tr>\n
04-28<\/td>\n910<\/td>\n4-28<\/td>\n203<\/td>\n4-28<\/td>\n203<\/td>\n<\/tr>\n
04-29<\/td>\n4514<\/td>\n4-29<\/td>\n1230<\/td>\n4-29<\/td>\n1230<\/td>\n<\/tr>\n
04-30<\/td>\n4619<\/td>\n4-30<\/td>\n519<\/td>\n4-30<\/td>\n519<\/td>\n<\/tr>\n
05-01<\/td>\n21816<\/td>\n5-01<\/td>\n1344<\/td>\n5-1<\/td>\n49<\/td>\n<\/tr>\n
05-02<\/td>\n25156<\/td>\n5-02<\/td>\n32<\/td>\n5-2<\/td>\n173<\/td>\n<\/tr>\n
05-03<\/td>\n19743<\/td>\n5-03<\/td>\n838<\/td>\n5-3<\/td>\n9<\/td>\n<\/tr>\n
05-04<\/td>\n9475<\/td>\n5-04<\/td>\n1921<\/td>\n5-4<\/td>\n192<\/td>\n<\/tr>\n
05-05<\/td>\n36575<\/td>\n5-05<\/td>\n132<\/td>\n5-5<\/td>\n131<\/td>\n<\/tr>\n
05-06<\/td>\n2094<\/td>\n5-06<\/td>\n1116<\/td>\n5-6<\/td>\n211<\/td>\n<\/tr>\n
05-07<\/td>\n683<\/td>\n5-07<\/td>\n684<\/td>\n5-7<\/td>\n405<\/td>\n<\/tr>\n
05-08<\/td>\n14658<\/td>\n5-08<\/td>\n1122<\/td>\n5-8<\/td>\n11<\/td>\n<\/tr>\n
05-09<\/td>\n17171<\/td>\n5-09<\/td>\n1147<\/td>\n5-9<\/td>\n5<\/td>\n<\/tr>\n
05-10<\/td>\n10274<\/td>\n5-10<\/td>\n49<\/td>\n5-10<\/td>\n49<\/td>\n<\/tr>\n
05-11<\/td>\n444<\/td>\n5-11<\/td>\n395<\/td>\n5-11<\/td>\n395<\/td>\n<\/tr>\n
05-12<\/td>\n2294<\/td>\n5-12<\/td>\n1843<\/td>\n5-12<\/td>\n1843<\/td>\n<\/tr>\n
05-13<\/td>\n597<\/td>\n5-13<\/td>\n110<\/td>\n5-13<\/td>\n110<\/td>\n<\/tr>\n
05-14<\/td>\n42236<\/td>\n5-14<\/td>\n2118<\/td>\n5-14<\/td>\n2118<\/td>\n<\/tr>\n
05-15<\/td>\n10458<\/td>\n5-15<\/td>\n1100<\/td>\n5-15<\/td>\n1100<\/td>\n<\/tr>\n
05-16<\/td>\n5367<\/td>\n5-16<\/td>\n3516<\/td>\n5-16<\/td>\n3516<\/td>\n<\/tr>\n
05-17<\/td>\n24365<\/td>\n5-17<\/td>\n2109<\/td>\n5-17<\/td>\n2109<\/td>\n<\/tr>\n
05-18<\/td>\n751<\/td>\n5-18<\/td>\n471<\/td>\n5-18<\/td>\n471<\/td>\n<\/tr>\n
05-19<\/td>\n17096<\/td>\n5-19<\/td>\n390<\/td>\n5-19<\/td>\n390<\/td>\n<\/tr>\n
05-20<\/td>\n20247<\/td>\n5-20<\/td>\n326<\/td>\n5-20<\/td>\n326<\/td>\n<\/tr>\n
05-21<\/td>\n19553<\/td>\n5-21<\/td>\n173<\/td>\n5-21<\/td>\n173<\/td>\n<\/tr>\n
05-22<\/td>\n2041<\/td>\n5-22<\/td>\n535<\/td>\n5-22<\/td>\n535<\/td>\n<\/tr>\n
05-23<\/td>\n4317<\/td>\n5-23<\/td>\n579<\/td>\n5-23<\/td>\n579<\/td>\n<\/tr>\n
05-24<\/td>\n15635<\/td>\n5-24<\/td>\n1615<\/td>\n5-24<\/td>\n1615<\/td>\n<\/tr>\n
05-25<\/td>\n3233<\/td>\n5-25<\/td>\n1006<\/td>\n5-25<\/td>\n1006<\/td>\n<\/tr>\n
05-26<\/td>\n3984<\/td>\n5-26<\/td>\n613<\/td>\n5-26<\/td>\n613<\/td>\n<\/tr>\n
05-27<\/td>\n7300<\/td>\n5-27<\/td>\n241<\/td>\n5-27<\/td>\n241<\/td>\n<\/tr>\n
05-28<\/td>\n18917<\/td>\n5-28<\/td>\n867<\/td>\n5-28<\/td>\n867<\/td>\n<\/tr>\n
05-29<\/td>\n6373<\/td>\n5-29<\/td>\n1059<\/td>\n5-29<\/td>\n1059<\/td>\n<\/tr>\n
05-30<\/td>\n367<\/td>\n5-30<\/td>\n368<\/td>\n5-30<\/td>\n368<\/td>\n<\/tr>\n
05-31<\/td>\n26607<\/td>\n5-31<\/td>\n2871<\/td>\n5-31<\/td>\n2871<\/td>\n<\/tr>\n
06-01<\/td>\n2400<\/td>\n6-01<\/td>\n1218<\/td>\n6-1<\/td>\n220<\/td>\n<\/tr>\n
06-02<\/td>\n14854<\/td>\n6-02<\/td>\n291<\/td>\n6-2<\/td>\n21<\/td>\n<\/tr>\n
06-03<\/td>\n9019<\/td>\n6-03<\/td>\n264<\/td>\n6-3<\/td>\n313<\/td>\n<\/tr>\n
06-04<\/td>\n1172<\/td>\n6-04<\/td>\n1173<\/td>\n6-4<\/td>\n23<\/td>\n<\/tr>\n
06-05<\/td>\n5681<\/td>\n6-05<\/td>\n750<\/td>\n6-5<\/td>\n8<\/td>\n<\/tr>\n
06-06<\/td>\n13163<\/td>\n6-06<\/td>\n311<\/td>\n6-6<\/td>\n118<\/td>\n<\/tr>\n
06-07<\/td>\n10861<\/td>\n6-07<\/td>\n287<\/td>\n6-7<\/td>\n99<\/td>\n<\/tr>\n
06-08<\/td>\n13912<\/td>\n6-08<\/td>\n618<\/td>\n6-8<\/td>\n606<\/td>\n<\/tr>\n
06-09<\/td>\n3376<\/td>\n6-09<\/td>\n128<\/td>\n6-9<\/td>\n42<\/td>\n<\/tr>\n
06-10<\/td>\n13704<\/td>\n6-10<\/td>\n269<\/td>\n6-10<\/td>\n269<\/td>\n<\/tr>\n
06-11<\/td>\n7448<\/td>\n6-11<\/td>\n427<\/td>\n6-11<\/td>\n427<\/td>\n<\/tr>\n
06-12<\/td>\n11585<\/td>\n6-12<\/td>\n220<\/td>\n6-12<\/td>\n220<\/td>\n<\/tr>\n
06-13<\/td>\n7490<\/td>\n6-13<\/td>\n971<\/td>\n6-13<\/td>\n971<\/td>\n<\/tr>\n
06-14<\/td>\n2887<\/td>\n6-14<\/td>\n1612<\/td>\n6-14<\/td>\n1612<\/td>\n<\/tr>\n
06-15<\/td>\n25066<\/td>\n6-15<\/td>\n1030<\/td>\n6-15<\/td>\n1030<\/td>\n<\/tr>\n
06-16<\/td>\n6017<\/td>\n6-16<\/td>\n1206<\/td>\n6-16<\/td>\n1206<\/td>\n<\/tr>\n
06-17<\/td>\n886<\/td>\n6-17<\/td>\n887<\/td>\n6-17<\/td>\n887<\/td>\n<\/tr>\n
06-18<\/td>\n14424<\/td>\n6-18<\/td>\n1444<\/td>\n6-18<\/td>\n1444<\/td>\n<\/tr>\n
06-19<\/td>\n6351<\/td>\n6-19<\/td>\n843<\/td>\n6-19<\/td>\n843<\/td>\n<\/tr>\n
06-20<\/td>\n14967<\/td>\n6-20<\/td>\n76<\/td>\n6-20<\/td>\n76<\/td>\n<\/tr>\n
06-21<\/td>\n2819<\/td>\n6-21<\/td>\n2820<\/td>\n6-21<\/td>\n2820<\/td>\n<\/tr>\n
06-22<\/td>\n30206<\/td>\n6-22<\/td>\n185<\/td>\n6-22<\/td>\n185<\/td>\n<\/tr>\n
06-23<\/td>\n51529<\/td>\n6-23<\/td>\n456<\/td>\n6-23<\/td>\n456<\/td>\n<\/tr>\n
06-24<\/td>\n5491<\/td>\n6-24<\/td>\n510<\/td>\n6-24<\/td>\n510<\/td>\n<\/tr>\n
06-25<\/td>\n5971<\/td>\n6-25<\/td>\n1569<\/td>\n6-25<\/td>\n1569<\/td>\n<\/tr>\n
06-26<\/td>\n16707<\/td>\n6-26<\/td>\n21<\/td>\n6-26<\/td>\n21<\/td>\n<\/tr>\n
06-27<\/td>\n5424<\/td>\n6-27<\/td>\n462<\/td>\n6-27<\/td>\n462<\/td>\n<\/tr>\n
06-28<\/td>\n72<\/td>\n6-28<\/td>\n73<\/td>\n6-28<\/td>\n73<\/td>\n<\/tr>\n
06-29<\/td>\n11928<\/td>\n6-29<\/td>\n571<\/td>\n6-29<\/td>\n571<\/td>\n<\/tr>\n
06-30<\/td>\n10902<\/td>\n6-30<\/td>\n1900<\/td>\n6-30<\/td>\n1900<\/td>\n<\/tr>\n
07-01<\/td>\n10640<\/td>\n7-01<\/td>\n167<\/td>\n7-1<\/td>\n40<\/td>\n<\/tr>\n
07-02<\/td>\n544<\/td>\n7-02<\/td>\n545<\/td>\n7-2<\/td>\n140<\/td>\n<\/tr>\n
07-03<\/td>\n10108<\/td>\n7-03<\/td>\n408<\/td>\n7-3<\/td>\n300<\/td>\n<\/tr>\n
07-04<\/td>\n9882<\/td>\n7-04<\/td>\n2670<\/td>\n7-4<\/td>\n57<\/td>\n<\/tr>\n
07-05<\/td>\n9233<\/td>\n7-05<\/td>\n561<\/td>\n7-5<\/td>\n48<\/td>\n<\/tr>\n
07-06<\/td>\n5134<\/td>\n7-06<\/td>\n97<\/td>\n7-6<\/td>\n570<\/td>\n<\/tr>\n
07-07<\/td>\n3815<\/td>\n7-07<\/td>\n755<\/td>\n7-7<\/td>\n560<\/td>\n<\/tr>\n
07-08<\/td>\n8111<\/td>\n7-08<\/td>\n3061<\/td>\n7-8<\/td>\n67<\/td>\n<\/tr>\n
07-09<\/td>\n3641<\/td>\n7-09<\/td>\n121<\/td>\n7-9<\/td>\n14<\/td>\n<\/tr>\n
07-10<\/td>\n3169<\/td>\n7-10<\/td>\n681<\/td>\n7-10<\/td>\n681<\/td>\n<\/tr>\n
07-11<\/td>\n4250<\/td>\n7-11<\/td>\n1185<\/td>\n7-11<\/td>\n1185<\/td>\n<\/tr>\n
07-12<\/td>\n7695<\/td>\n7-12<\/td>\n243<\/td>\n7-12<\/td>\n243<\/td>\n<\/tr>\n
07-13<\/td>\n36438<\/td>\n7-13<\/td>\n627<\/td>\n7-13<\/td>\n627<\/td>\n<\/tr>\n
07-14<\/td>\n9546<\/td>\n7-14<\/td>\n610<\/td>\n7-14<\/td>\n610<\/td>\n<\/tr>\n
07-15<\/td>\n5668<\/td>\n7-15<\/td>\n344<\/td>\n7-15<\/td>\n344<\/td>\n<\/tr>\n
07-16<\/td>\n10242<\/td>\n7-16<\/td>\n40<\/td>\n7-16<\/td>\n40<\/td>\n<\/tr>\n
07-17<\/td>\n15743<\/td>\n7-17<\/td>\n568<\/td>\n7-17<\/td>\n568<\/td>\n<\/tr>\n
07-18<\/td>\n2988<\/td>\n7-18<\/td>\n2776<\/td>\n7-18<\/td>\n2776<\/td>\n<\/tr>\n
07-19<\/td>\n8664<\/td>\n7-19<\/td>\n541<\/td>\n7-19<\/td>\n541<\/td>\n<\/tr>\n
07-20<\/td>\n44221<\/td>\n7-20<\/td>\n1009<\/td>\n7-20<\/td>\n1009<\/td>\n<\/tr>\n
07-21<\/td>\n756<\/td>\n7-21<\/td>\n650<\/td>\n7-21<\/td>\n650<\/td>\n<\/tr>\n
07-22<\/td>\n2375<\/td>\n7-22<\/td>\n2140<\/td>\n7-22<\/td>\n2140<\/td>\n<\/tr>\n
07-23<\/td>\n3300<\/td>\n7-23<\/td>\n1632<\/td>\n7-23<\/td>\n1632<\/td>\n<\/tr>\n
07-24<\/td>\n8811<\/td>\n7-24<\/td>\n302<\/td>\n7-24<\/td>\n302<\/td>\n<\/tr>\n
07-25<\/td>\n16244<\/td>\n7-25<\/td>\n140<\/td>\n7-25<\/td>\n140<\/td>\n<\/tr>\n
07-26<\/td>\n288<\/td>\n7-26<\/td>\n289<\/td>\n7-26<\/td>\n289<\/td>\n<\/tr>\n
07-27<\/td>\n12328<\/td>\n7-27<\/td>\n406<\/td>\n7-27<\/td>\n406<\/td>\n<\/tr>\n
07-28<\/td>\n4879<\/td>\n7-28<\/td>\n1584<\/td>\n7-28<\/td>\n1584<\/td>\n<\/tr>\n
07-29<\/td>\n4078<\/td>\n7-29<\/td>\n771<\/td>\n7-29<\/td>\n771<\/td>\n<\/tr>\n
07-30<\/td>\n6892<\/td>\n7-30<\/td>\n898<\/td>\n7-30<\/td>\n898<\/td>\n<\/tr>\n
07-31<\/td>\n2808<\/td>\n7-31<\/td>\n785<\/td>\n7-31<\/td>\n785<\/td>\n<\/tr>\n
08-01<\/td>\n9508<\/td>\n8-01<\/td>\n3418<\/td>\n8-1<\/td>\n68<\/td>\n<\/tr>\n
08-02<\/td>\n18639<\/td>\n8-02<\/td>\n1993<\/td>\n8-2<\/td>\n53<\/td>\n<\/tr>\n
08-03<\/td>\n8283<\/td>\n8-03<\/td>\n85<\/td>\n8-3<\/td>\n27<\/td>\n<\/tr>\n
08-04<\/td>\n1284<\/td>\n8-04<\/td>\n775<\/td>\n8-4<\/td>\n19<\/td>\n<\/tr>\n
08-05<\/td>\n2292<\/td>\n8-05<\/td>\n957<\/td>\n8-5<\/td>\n172<\/td>\n<\/tr>\n
08-06<\/td>\n9289<\/td>\n8-06<\/td>\n968<\/td>\n8-6<\/td>\n75<\/td>\n<\/tr>\n
08-07<\/td>\n15787<\/td>\n8-07<\/td>\n451<\/td>\n8-7<\/td>\n306<\/td>\n<\/tr>\n
08-08<\/td>\n4545<\/td>\n8-08<\/td>\n106<\/td>\n8-8<\/td>\n35<\/td>\n<\/tr>\n
08-09<\/td>\n3009<\/td>\n8-09<\/td>\n1003<\/td>\n8-9<\/td>\n12<\/td>\n<\/tr>\n
08-10<\/td>\n3207<\/td>\n8-10<\/td>\n206<\/td>\n8-10<\/td>\n206<\/td>\n<\/tr>\n
08-11<\/td>\n10884<\/td>\n8-11<\/td>\n153<\/td>\n8-11<\/td>\n153<\/td>\n<\/tr>\n
08-12<\/td>\n147<\/td>\n8-12<\/td>\n148<\/td>\n8-12<\/td>\n148<\/td>\n<\/tr>\n
08-13<\/td>\n10981<\/td>\n8-13<\/td>\n734<\/td>\n8-13<\/td>\n734<\/td>\n<\/tr>\n
08-14<\/td>\n4274<\/td>\n8-14<\/td>\n882<\/td>\n8-14<\/td>\n882<\/td>\n<\/tr>\n
08-15<\/td>\n25257<\/td>\n8-15<\/td>\n324<\/td>\n8-15<\/td>\n324<\/td>\n<\/tr>\n
08-16<\/td>\n1601<\/td>\n8-16<\/td>\n68<\/td>\n8-16<\/td>\n68<\/td>\n<\/tr>\n
08-17<\/td>\n4857<\/td>\n8-17<\/td>\n319<\/td>\n8-17<\/td>\n319<\/td>\n<\/tr>\n
08-18<\/td>\n30399<\/td>\n8-18<\/td>\n490<\/td>\n8-18<\/td>\n490<\/td>\n<\/tr>\n
08-19<\/td>\n12786<\/td>\n8-19<\/td>\n198<\/td>\n8-19<\/td>\n198<\/td>\n<\/tr>\n
08-20<\/td>\n4787<\/td>\n8-20<\/td>\n53<\/td>\n8-20<\/td>\n53<\/td>\n<\/tr>\n
08-21<\/td>\n12923<\/td>\n8-21<\/td>\n102<\/td>\n8-21<\/td>\n102<\/td>\n<\/tr>\n
08-22<\/td>\n5149<\/td>\n8-22<\/td>\n135<\/td>\n8-22<\/td>\n135<\/td>\n<\/tr>\n
08-23<\/td>\n11957<\/td>\n8-23<\/td>\n114<\/td>\n8-23<\/td>\n114<\/td>\n<\/tr>\n
08-24<\/td>\n10358<\/td>\n8-24<\/td>\n1196<\/td>\n8-24<\/td>\n1196<\/td>\n<\/tr>\n
08-25<\/td>\n828<\/td>\n8-25<\/td>\n89<\/td>\n8-25<\/td>\n89<\/td>\n<\/tr>\n
08-26<\/td>\n4294<\/td>\n8-26<\/td>\n2059<\/td>\n8-26<\/td>\n2059<\/td>\n<\/tr>\n
08-27<\/td>\n619<\/td>\n8-27<\/td>\n620<\/td>\n8-27<\/td>\n620<\/td>\n<\/tr>\n
08-28<\/td>\n24614<\/td>\n8-28<\/td>\n2381<\/td>\n8-28<\/td>\n2381<\/td>\n<\/tr>\n
08-29<\/td>\n1123<\/td>\n8-29<\/td>\n335<\/td>\n8-29<\/td>\n335<\/td>\n<\/tr>\n
08-30<\/td>\n816<\/td>\n8-30<\/td>\n492<\/td>\n8-30<\/td>\n492<\/td>\n<\/tr>\n
08-31<\/td>\n25355<\/td>\n8-31<\/td>\n237<\/td>\n8-31<\/td>\n237<\/td>\n<\/tr>\n
09-01<\/td>\n658<\/td>\n9-01<\/td>\n659<\/td>\n9-1<\/td>\n250<\/td>\n<\/tr>\n
09-02<\/td>\n2074<\/td>\n9-02<\/td>\n715<\/td>\n9-2<\/td>\n6<\/td>\n<\/tr>\n
09-03<\/td>\n6335<\/td>\n9-03<\/td>\n357<\/td>\n9-3<\/td>\n15<\/td>\n<\/tr>\n
09-04<\/td>\n8107<\/td>\n9-04<\/td>\n909<\/td>\n9-4<\/td>\n59<\/td>\n<\/tr>\n
09-05<\/td>\n23683<\/td>\n9-05<\/td>\n3191<\/td>\n9-5<\/td>\n31<\/td>\n<\/tr>\n
09-06<\/td>\n8297<\/td>\n9-06<\/td>\n1294<\/td>\n9-6<\/td>\n181<\/td>\n<\/tr>\n
09-07<\/td>\n2986<\/td>\n9-07<\/td>\n543<\/td>\n9-7<\/td>\n13<\/td>\n<\/tr>\n
09-08<\/td>\n7828<\/td>\n9-08<\/td>\n815<\/td>\n9-8<\/td>\n81<\/td>\n<\/tr>\n
09-09<\/td>\n12077<\/td>\n9-09<\/td>\n248<\/td>\n9-9<\/td>\n45<\/td>\n<\/tr>\n
09-10<\/td>\n17009<\/td>\n9-10<\/td>\n2874<\/td>\n9-10<\/td>\n2874<\/td>\n<\/tr>\n
09-11<\/td>\n6125<\/td>\n9-11<\/td>\n1534<\/td>\n9-11<\/td>\n1534<\/td>\n<\/tr>\n
09-12<\/td>\n29379<\/td>\n9-12<\/td>\n483<\/td>\n9-12<\/td>\n483<\/td>\n<\/tr>\n
09-13<\/td>\n17515<\/td>\n9-13<\/td>\n1096<\/td>\n9-13<\/td>\n1096<\/td>\n<\/tr>\n
09-14<\/td>\n249<\/td>\n9-14<\/td>\n250<\/td>\n9-14<\/td>\n250<\/td>\n<\/tr>\n
09-15<\/td>\n3413<\/td>\n9-15<\/td>\n1315<\/td>\n9-15<\/td>\n1315<\/td>\n<\/tr>\n
09-16<\/td>\n5930<\/td>\n9-16<\/td>\n3370<\/td>\n9-16<\/td>\n3370<\/td>\n<\/tr>\n
09-17<\/td>\n341<\/td>\n9-17<\/td>\n342<\/td>\n9-17<\/td>\n342<\/td>\n<\/tr>\n
09-18<\/td>\n4731<\/td>\n9-18<\/td>\n2220<\/td>\n9-18<\/td>\n2220<\/td>\n<\/tr>\n
09-19<\/td>\n2127<\/td>\n9-19<\/td>\n417<\/td>\n9-19<\/td>\n417<\/td>\n<\/tr>\n
09-20<\/td>\n328<\/td>\n9-20<\/td>\n329<\/td>\n9-20<\/td>\n329<\/td>\n<\/tr>\n
09-21<\/td>\n422<\/td>\n9-21<\/td>\n423<\/td>\n9-21<\/td>\n423<\/td>\n<\/tr>\n
09-22<\/td>\n7963<\/td>\n9-22<\/td>\n687<\/td>\n9-22<\/td>\n687<\/td>\n<\/tr>\n
09-23<\/td>\n23216<\/td>\n9-23<\/td>\n63<\/td>\n9-23<\/td>\n63<\/td>\n<\/tr>\n
09-24<\/td>\n5122<\/td>\n9-24<\/td>\n1430<\/td>\n9-24<\/td>\n1430<\/td>\n<\/tr>\n
09-25<\/td>\n4008<\/td>\n9-25<\/td>\n337<\/td>\n9-25<\/td>\n337<\/td>\n<\/tr>\n
09-26<\/td>\n5380<\/td>\n9-26<\/td>\n6<\/td>\n9-26<\/td>\n6<\/td>\n<\/tr>\n
09-27<\/td>\n1177<\/td>\n9-27<\/td>\n977<\/td>\n9-27<\/td>\n977<\/td>\n<\/tr>\n
09-28<\/td>\n5768<\/td>\n9-28<\/td>\n2192<\/td>\n9-28<\/td>\n2192<\/td>\n<\/tr>\n
09-29<\/td>\n7785<\/td>\n9-29<\/td>\n1854<\/td>\n9-29<\/td>\n1854<\/td>\n<\/tr>\n
09-30<\/td>\n1494<\/td>\n9-30<\/td>\n194<\/td>\n9-30<\/td>\n194<\/td>\n<\/tr>\n
10-01<\/td>\n15762<\/td>\n10-01<\/td>\n15762<\/td>\n10-1<\/td>\n853<\/td>\n<\/tr>\n
10-02<\/td>\n6740<\/td>\n10-02<\/td>\n6740<\/td>\n10-2<\/td>\n164<\/td>\n<\/tr>\n
10-03<\/td>\n12292<\/td>\n10-03<\/td>\n12292<\/td>\n10-3<\/td>\n3487<\/td>\n<\/tr>\n
10-04<\/td>\n3849<\/td>\n10-04<\/td>\n3849<\/td>\n10-4<\/td>\n270<\/td>\n<\/tr>\n
10-05<\/td>\n2881<\/td>\n10-05<\/td>\n2881<\/td>\n10-5<\/td>\n50<\/td>\n<\/tr>\n
10-06<\/td>\n3481<\/td>\n10-06<\/td>\n3481<\/td>\n10-6<\/td>\n1012<\/td>\n<\/tr>\n
10-07<\/td>\n4076<\/td>\n10-07<\/td>\n4076<\/td>\n10-7<\/td>\n1488<\/td>\n<\/tr>\n
10-08<\/td>\n8281<\/td>\n10-08<\/td>\n8281<\/td>\n10-8<\/td>\n2535<\/td>\n<\/tr>\n
10-09<\/td>\n1817<\/td>\n10-09<\/td>\n1817<\/td>\n10-9<\/td>\n207<\/td>\n<\/tr>\n
10-10<\/td>\n853<\/td>\n10-10<\/td>\n853<\/td>\n10-10<\/td>\n853<\/td>\n<\/tr>\n
10-11<\/td>\n3846<\/td>\n10-11<\/td>\n3846<\/td>\n10-11<\/td>\n3846<\/td>\n<\/tr>\n
10-12<\/td>\n8618<\/td>\n10-12<\/td>\n8618<\/td>\n10-12<\/td>\n8618<\/td>\n<\/tr>\n
10-13<\/td>\n8271<\/td>\n10-13<\/td>\n8271<\/td>\n10-13<\/td>\n8271<\/td>\n<\/tr>\n
10-14<\/td>\n2781<\/td>\n10-14<\/td>\n2781<\/td>\n10-14<\/td>\n2781<\/td>\n<\/tr>\n
10-15<\/td>\n2564<\/td>\n10-15<\/td>\n2564<\/td>\n10-15<\/td>\n2564<\/td>\n<\/tr>\n
10-16<\/td>\n9987<\/td>\n10-16<\/td>\n9987<\/td>\n10-16<\/td>\n9987<\/td>\n<\/tr>\n
10-17<\/td>\n8041<\/td>\n10-17<\/td>\n8041<\/td>\n10-17<\/td>\n8041<\/td>\n<\/tr>\n
10-18<\/td>\n1224<\/td>\n10-18<\/td>\n1224<\/td>\n10-18<\/td>\n1224<\/td>\n<\/tr>\n
10-19<\/td>\n15483<\/td>\n10-19<\/td>\n15483<\/td>\n10-19<\/td>\n15483<\/td>\n<\/tr>\n
10-20<\/td>\n9808<\/td>\n10-20<\/td>\n9808<\/td>\n10-20<\/td>\n9808<\/td>\n<\/tr>\n
10-21<\/td>\n2750<\/td>\n10-21<\/td>\n2750<\/td>\n10-21<\/td>\n2750<\/td>\n<\/tr>\n
10-22<\/td>\n6400<\/td>\n10-22<\/td>\n6400<\/td>\n10-22<\/td>\n6400<\/td>\n<\/tr>\n
10-23<\/td>\n6771<\/td>\n10-23<\/td>\n6771<\/td>\n10-23<\/td>\n6771<\/td>\n<\/tr>\n
10-24<\/td>\n12736<\/td>\n10-24<\/td>\n12736<\/td>\n10-24<\/td>\n12736<\/td>\n<\/tr>\n
10-25<\/td>\n12926<\/td>\n10-25<\/td>\n12926<\/td>\n10-25<\/td>\n12926<\/td>\n<\/tr>\n
10-26<\/td>\n14679<\/td>\n10-26<\/td>\n14679<\/td>\n10-26<\/td>\n14679<\/td>\n<\/tr>\n
10-27<\/td>\n164<\/td>\n10-27<\/td>\n164<\/td>\n10-27<\/td>\n164<\/td>\n<\/tr>\n
10-28<\/td>\n3242<\/td>\n10-28<\/td>\n3242<\/td>\n10-28<\/td>\n3242<\/td>\n<\/tr>\n
10-29<\/td>\n8197<\/td>\n10-29<\/td>\n8197<\/td>\n10-29<\/td>\n8197<\/td>\n<\/tr>\n
10-30<\/td>\n20819<\/td>\n10-30<\/td>\n20819<\/td>\n10-30<\/td>\n20819<\/td>\n<\/tr>\n
10-31<\/td>\n3495<\/td>\n10-31<\/td>\n3495<\/td>\n10-31<\/td>\n3495<\/td>\n<\/tr>\n
11-01<\/td>\n2780<\/td>\n11-01<\/td>\n2780<\/td>\n11-1<\/td>\n154<\/td>\n<\/tr>\n
11-02<\/td>\n12721<\/td>\n11-02<\/td>\n12721<\/td>\n11-2<\/td>\n710<\/td>\n<\/tr>\n
11-03<\/td>\n3494<\/td>\n11-03<\/td>\n3494<\/td>\n11-3<\/td>\n363<\/td>\n<\/tr>\n
11-04<\/td>\n23842<\/td>\n11-04<\/td>\n23842<\/td>\n11-4<\/td>\n2725<\/td>\n<\/tr>\n
11-05<\/td>\n175<\/td>\n11-05<\/td>\n175<\/td>\n11-5<\/td>\n922<\/td>\n<\/tr>\n
11-06<\/td>\n13461<\/td>\n11-06<\/td>\n13461<\/td>\n11-6<\/td>\n396<\/td>\n<\/tr>\n
11-07<\/td>\n21819<\/td>\n11-07<\/td>\n21819<\/td>\n11-7<\/td>\n95<\/td>\n<\/tr>\n
11-08<\/td>\n7450<\/td>\n11-08<\/td>\n7450<\/td>\n11-8<\/td>\n446<\/td>\n<\/tr>\n
11-09<\/td>\n3254<\/td>\n11-09<\/td>\n3254<\/td>\n11-9<\/td>\n495<\/td>\n<\/tr>\n
11-10<\/td>\n22898<\/td>\n11-10<\/td>\n22898<\/td>\n11-10<\/td>\n22898<\/td>\n<\/tr>\n
11-11<\/td>\n12701<\/td>\n11-11<\/td>\n12701<\/td>\n11-11<\/td>\n12701<\/td>\n<\/tr>\n
11-12<\/td>\n12702<\/td>\n11-12<\/td>\n12702<\/td>\n11-12<\/td>\n12702<\/td>\n<\/tr>\n
11-13<\/td>\n3504<\/td>\n11-13<\/td>\n3504<\/td>\n11-13<\/td>\n3504<\/td>\n<\/tr>\n
11-14<\/td>\n23209<\/td>\n11-14<\/td>\n23209<\/td>\n11-14<\/td>\n23209<\/td>\n<\/tr>\n
11-15<\/td>\n27054<\/td>\n11-15<\/td>\n27054<\/td>\n11-15<\/td>\n27054<\/td>\n<\/tr>\n
11-16<\/td>\n3993<\/td>\n11-16<\/td>\n3993<\/td>\n11-16<\/td>\n3993<\/td>\n<\/tr>\n
11-17<\/td>\n154<\/td>\n11-17<\/td>\n154<\/td>\n11-17<\/td>\n154<\/td>\n<\/tr>\n
11-18<\/td>\n14376<\/td>\n11-18<\/td>\n14376<\/td>\n11-18<\/td>\n14376<\/td>\n<\/tr>\n
11-19<\/td>\n984<\/td>\n11-19<\/td>\n984<\/td>\n11-19<\/td>\n984<\/td>\n<\/tr>\n
11-20<\/td>\n3823<\/td>\n11-20<\/td>\n3823<\/td>\n11-20<\/td>\n3823<\/td>\n<\/tr>\n
11-21<\/td>\n710<\/td>\n11-21<\/td>\n710<\/td>\n11-21<\/td>\n710<\/td>\n<\/tr>\n
11-22<\/td>\n12018<\/td>\n11-22<\/td>\n12018<\/td>\n11-22<\/td>\n12018<\/td>\n<\/tr>\n
11-23<\/td>\n6548<\/td>\n11-23<\/td>\n6548<\/td>\n11-23<\/td>\n6548<\/td>\n<\/tr>\n
11-24<\/td>\n25705<\/td>\n11-24<\/td>\n25705<\/td>\n11-24<\/td>\n25705<\/td>\n<\/tr>\n
11-25<\/td>\n1350<\/td>\n11-25<\/td>\n1350<\/td>\n11-25<\/td>\n1350<\/td>\n<\/tr>\n
11-26<\/td>\n12703<\/td>\n11-26<\/td>\n12703<\/td>\n11-26<\/td>\n12703<\/td>\n<\/tr>\n
11-27<\/td>\n4252<\/td>\n11-27<\/td>\n4252<\/td>\n11-27<\/td>\n4252<\/td>\n<\/tr>\n
11-28<\/td>\n14719<\/td>\n11-28<\/td>\n14719<\/td>\n11-28<\/td>\n14719<\/td>\n<\/tr>\n
11-29<\/td>\n4450<\/td>\n11-29<\/td>\n4450<\/td>\n11-29<\/td>\n4450<\/td>\n<\/tr>\n
11-30<\/td>\n9107<\/td>\n11-30<\/td>\n9107<\/td>\n11-30<\/td>\n9107<\/td>\n<\/tr>\n
12-01<\/td>\n244<\/td>\n12-01<\/td>\n244<\/td>\n12-1<\/td>\n711<\/td>\n<\/tr>\n
12-02<\/td>\n19942<\/td>\n12-02<\/td>\n19942<\/td>\n12-2<\/td>\n484<\/td>\n<\/tr>\n
12-03<\/td>\n60873<\/td>\n12-03<\/td>\n60873<\/td>\n12-3<\/td>\n1925<\/td>\n<\/tr>\n
12-04<\/td>\n11885<\/td>\n12-04<\/td>\n11885<\/td>\n12-4<\/td>\n1081<\/td>\n<\/tr>\n
12-05<\/td>\n3329<\/td>\n12-05<\/td>\n3329<\/td>\n12-5<\/td>\n1351<\/td>\n<\/tr>\n
12-06<\/td>\n3259<\/td>\n12-06<\/td>\n3259<\/td>\n12-6<\/td>\n2014<\/td>\n<\/tr>\n
12-07<\/td>\n7511<\/td>\n12-07<\/td>\n7511<\/td>\n12-7<\/td>\n298<\/td>\n<\/tr>\n
12-08<\/td>\n3714<\/td>\n12-08<\/td>\n3714<\/td>\n12-8<\/td>\n149<\/td>\n<\/tr>\n
12-09<\/td>\n4729<\/td>\n12-09<\/td>\n4729<\/td>\n12-9<\/td>\n500<\/td>\n<\/tr>\n
12-10<\/td>\n3456<\/td>\n12-10<\/td>\n3456<\/td>\n12-10<\/td>\n3456<\/td>\n<\/tr>\n
12-11<\/td>\n50289<\/td>\n12-11<\/td>\n50289<\/td>\n12-11<\/td>\n50289<\/td>\n<\/tr>\n
12-12<\/td>\n711<\/td>\n12-12<\/td>\n711<\/td>\n12-12<\/td>\n711<\/td>\n<\/tr>\n
12-13<\/td>\n47502<\/td>\n12-13<\/td>\n47502<\/td>\n12-13<\/td>\n47502<\/td>\n<\/tr>\n
12-14<\/td>\n4560<\/td>\n12-14<\/td>\n4560<\/td>\n12-14<\/td>\n4560<\/td>\n<\/tr>\n
12-15<\/td>\n11942<\/td>\n12-15<\/td>\n11942<\/td>\n12-15<\/td>\n11942<\/td>\n<\/tr>\n
12-16<\/td>\n6986<\/td>\n12-16<\/td>\n6986<\/td>\n12-16<\/td>\n6986<\/td>\n<\/tr>\n
12-17<\/td>\n11078<\/td>\n12-17<\/td>\n11078<\/td>\n12-17<\/td>\n11078<\/td>\n<\/tr>\n
12-18<\/td>\n9167<\/td>\n12-18<\/td>\n9167<\/td>\n12-18<\/td>\n9167<\/td>\n<\/tr>\n
12-19<\/td>\n1426<\/td>\n12-19<\/td>\n1426<\/td>\n12-19<\/td>\n1426<\/td>\n<\/tr>\n
12-20<\/td>\n36498<\/td>\n12-20<\/td>\n36498<\/td>\n12-20<\/td>\n36498<\/td>\n<\/tr>\n
12-21<\/td>\n8732<\/td>\n12-21<\/td>\n8732<\/td>\n12-21<\/td>\n8732<\/td>\n<\/tr>\n
12-22<\/td>\n17882<\/td>\n12-22<\/td>\n17882<\/td>\n12-22<\/td>\n17882<\/td>\n<\/tr>\n
12-23<\/td>\n9550<\/td>\n12-23<\/td>\n9550<\/td>\n12-23<\/td>\n9550<\/td>\n<\/tr>\n
12-24<\/td>\n661<\/td>\n12-24<\/td>\n661<\/td>\n12-24<\/td>\n661<\/td>\n<\/tr>\n
12-25<\/td>\n9417<\/td>\n12-25<\/td>\n9417<\/td>\n12-25<\/td>\n9417<\/td>\n<\/tr>\n
12-26<\/td>\n964<\/td>\n12-26<\/td>\n964<\/td>\n12-26<\/td>\n964<\/td>\n<\/tr>\n
12-27<\/td>\n484<\/td>\n12-27<\/td>\n484<\/td>\n12-27<\/td>\n484<\/td>\n<\/tr>\n
12-28<\/td>\n5183<\/td>\n12-28<\/td>\n5183<\/td>\n12-28<\/td>\n5183<\/td>\n<\/tr>\n
12-29<\/td>\n30418<\/td>\n12-29<\/td>\n30418<\/td>\n12-29<\/td>\n30418<\/td>\n<\/tr>\n
12-30<\/td>\n7146<\/td>\n12-30<\/td>\n7146<\/td>\n12-30<\/td>\n7146<\/td>\n<\/tr>\n
12-31<\/td>\n9451<\/td>\n12-31<\/td>\n9451<\/td>\n12-31<\/td>\n9451<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

R CODE
\n
\nlibrary(ggplot2)
\nlibrary(readr)
\nlibrary(stringr)
\nlibrary(tidyr)
\npistring = read_file(\"pi.txt\")
\n#choose 2016 b\/c it's a leap year
\ndayvec = seq(as.Date('2016-01-01'), as.Date('2016-12-31'), by = 1)
\ndayvec = str_sub(dayvec, start = 6, end = 10)
\nshorterdayvec = sub(\"0(.-.)\", \"\\\\1\", dayvec)
\nshortestdayvec = sub(\"(.-)0(.)$\", \"\\\\1\\\\2\", shorterdayvec)
\ndf = data.frame(
\n birthday = dayvec,
\n loc = str_locate(pistring, gsub(\"-\", \"\", dayvec))[, 1],
\n shorter_bday = shorterdayvec,
\n shorter_loc = str_locate(pistring, gsub(\"-\", \"\", shorterdayvec))[, 1],
\n shortest_bday = shortestdayvec,
\n shortest_loc = str_locate(pistring, gsub(\"-\", \"\", shortestdayvec))[, 1]
\n)
\nwrite.csv(df, file = \"birthdays_in_pi.csv\", row.names = FALSE)
\nlong_df = df %>% gather(key, location, loc, shorter_loc, shortest_loc)
\np = ggplot(long_df, aes(x = location, fill = key))
\np = p + geom_density(alpha = .3)
\np = p + coord_cartesian(xlim = c(0, 40000))
\np = p + theme(legend.position = \"bottom\")
\np
\nggsave(
\n plot = p,
\n file = \"birthdays_in_pi.pdf\",
\n height = 4,
\n width = 4
\n)
\n#now repeat with random numbers
\nrandstring = paste(replicate(100000, {
\n floor(10 * runif(1))
\n}), collapse = \"\")
\n#check our work
\ntable(str_split(randstring,\"\"))
\ndf_rand = data.frame(
\n birthday = dayvec,
\n loc = str_locate(randstring, gsub(\"-\", \"\", dayvec))[, 1],
\n shorter_bday = shorterdayvec,
\n shorter_loc = str_locate(randstring, gsub(\"-\", \"\", shorterdayvec))[, 1],
\n shortest_bday = shortestdayvec,
\n shortest_loc = str_locate(randstring, gsub(\"-\", \"\", shortestdayvec))[, 1]
\n)
\nlong_df_rand = df_rand %>% gather(key, location, loc, shorter_loc, shortest_loc)
\np = ggplot(long_df_rand, aes(x = location, fill = key))
\np = p + geom_density(alpha = .3)
\np = p + coord_cartesian(xlim = c(0, 40000))
\np = p + theme(legend.position = \"bottom\")
\np
\nggsave(
\n plot = p,
\n file = \"birthdays_in_random.png\",
\n height = 4,
\n width = 4
\n)<\/p>\n

<\/code><\/p>\n","protected":false},"excerpt":{"rendered":"

FIND YOUR BIRTHDAY IN PI, IN THREE DIFFERENT FORMATS It was Pi Day (March 14, like 3\/14, like 3.14, get it?) recently and Time Magazine did a fun interactive app in which you can find your birthday inside the digits of pi. However: 1) They only used one format of birthday, in which July 4th […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":true,"_jetpack_newsletter_tier_id":0,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false}}},"categories":[16,74],"tags":[1557,1556,686,169,208,500,1558,628,1208,1559,937],"class_list":["post-6088","post","type-post","status-publish","format-standard","hentry","category-ideas","category-r","tag-1557","tag-1556","tag-day","tag-ggplot","tag-goldstein","tag-hadley","tag-march","tag-pi","tag-r","tag-tidyverse","tag-wickham"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p4LKj-1Ac","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.decisionsciencenews.com\/index.php?rest_route=\/wp\/v2\/posts\/6088","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.decisionsciencenews.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.decisionsciencenews.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.decisionsciencenews.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.decisionsciencenews.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=6088"}],"version-history":[{"count":15,"href":"https:\/\/www.decisionsciencenews.com\/index.php?rest_route=\/wp\/v2\/posts\/6088\/revisions"}],"predecessor-version":[{"id":6107,"href":"https:\/\/www.decisionsciencenews.com\/index.php?rest_route=\/wp\/v2\/posts\/6088\/revisions\/6107"}],"wp:attachment":[{"href":"https:\/\/www.decisionsciencenews.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6088"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.decisionsciencenews.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6088"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.decisionsciencenews.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6088"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}