+1443 776-2705 panelessays@gmail.com
  

  

CATALOG CROSS-SELLlNG

catalogCrossSell.xls is the dataset for this case study. 

Background 

Exeter, Inc. is a catalog firm that sells products in a number of different catalogs that it owns. The catalogs number in the dozens, but tall into nine basic categories: 

1. Clothing 

2. Housewares 

3. Health 

4. Automotive 

5. Personal electronics 

6. Computers 

7. Garden 

8. Novelty gift 

9. Jewelry 

The costs of printing and distributing catalogs are high. By far the biggest cost of operation is the cost of promoting products to people who buy nothing. Having invested so much in the production of artwork and printing of catalogs, Exeter wants to take every opportunity to use them effectively. One such opportunity is in cross-selling-once a customer has “taken the bait” and purchases one product, try to sell them another while you have their attention. 

Such cross promotion might take the form of enclosing a catalog in the shipment of a purchased product, together with a discount coupon to induce a purchase from that catalog. Or, it might take the form of a similar coupon sent by email, with a link to the web version of that catalog. 

But which catalog should be enclosed in the box or included as a link in the email with the discount coupon? Exeter would like it to be an informed choice-a catalog that has a higher probability of inducing a purchase than simply choosing a catalog at random. 

Assignment 

Using the dataset catalogCrossSell.xls, perform an association rules analysis, and comment on the results. Your discussion should provide interpretations in English of the meanings of the various output statistics (lift ratio, confidence, support) and include a very rough estimate (precise calculations are not necessary) of the extent to which this will help Exeter make an informed choice about which catalog to cross-promote to a purchaser.

CATALOG CROSS-SELLlNG

catalogCrossSell.xls is the dataset for this case study.

Background

Exeter, Inc. is a catalog firm that sells products in a number of different catalogs that it owns. The catalogs number in the dozens, but tall into nine basic categories:

1. Clothing

2. Housewares

3. Health

4. Automotive

5. Personal electronics

6. Computers

7. Garden

8. Novelty gift

9. Jewelry

The costs of printing and distributing catalogs are high. By far the biggest cost of operation is the cost of promoting products to people who buy nothing. Having invested so much in the production of artwork and printing of catalogs, Exeter wants to take every opportunity to use them effectively. One such opportunity is in cross-selling-once a customer has “taken the bait” and purchases one product, try to sell them another while you have their attention.

Such cross promotion might take the form of enclosing a catalog in the shipment of a purchased product, together with a discount coupon to induce a purchase from that catalog. Or, it might take the form of a similar coupon sent by email, with a link to the web version of that catalog.

But which catalog should be enclosed in the box or included as a link in the email with the discount coupon? Exeter would like it to be an informed choice-a catalog that has a higher probability of inducing a purchase than simply choosing a catalog at random.

Assignment

Using the dataset catalogCrossSell.xls, perform an association rules analysis, and comment on the results. Your discussion should provide interpretations in English of the meanings of the various output statistics (lift ratio, confidence, support) and include a very rough estimate (precise calculations are not necessary) of the extent to which this will help Exeter make an informed choice about which catalog to cross-promote to a purchaser.

Description

DMEF 02DMEF
Multi-Division Catalog Company
Scenario – A random sample of customers is shown in the Data sheet. A “1” indicates a purchase
has been made from a catalog in that division, a “0” indicates no purchase.
Source: Adapted from a set of cases provided for educational purposes by the Direct Marketing
Education Foundation; used with permission.
(c) 2016 Galit Shmueli and Peter Bruce

Data

Customer Number Clothing Division Housewares Division Health Products Division Automotive Division Personal Electronics Division Computers Division Garden Division Novelty Gift Division Jewelry Division
000011569 0 1 1 1 1 0 0 1 0
000013714 0 1 1 1 1 0 1 1 1
000046391 0 1 1 1 1 0 1 1 1
000067264 0 0 1 1 1 0 1 1 0
000067363 0 0 1 0 1 0 1 1 0
000072553 0 1 1 1 1 0 1 1 1
000079814 0 1 1 0 1 0 1 0 0
000080903 0 1 1 0 1 0 0 1 0
000091439 0 0 1 1 1 0 1 0 1
000096701 0 1 1 1 1 0 1 1 1
000098517 1 1 1 1 1 0 1 1 1
000104356 0 0 1 0 1 0 1 1 0
000132829 0 1 1 0 1 0 0 1 1
000155424 0 1 1 0 1 1 1 1 1
000163055 0 1 1 0 1 0 1 1 1
000244756 0 0 1 1 1 0 1 0 0
000261198 0 1 1 0 1 0 1 1 1
000265041 0 1 1 0 1 0 0 1 0
000277251 0 0 1 0 1 0 0 0 0
000285023 0 0 1 1 1 0 1 0 1
000298000 1 1 1 0 1 0 0 0 1
000311985 0 1 1 0 1 0 1 1 1
000339184 0 0 1 1 1 0 1 1 1
000398537 0 1 1 1 1 0 1 1 1
000422147 0 0 1 1 0 0 1 0 1
000433649 0 0 1 1 1 0 1 1 1
000435925 0 1 1 1 0 0 1 0 1
000446385 0 1 1 1 1 0 1 1 1
000469171 0 1 1 0 0 0 1 1 1
000517763 0 0 1 1 1 0 1 1 1
000521682 0 0 1 0 0 0 1 0 0
000563619 0 1 1 0 1 1 1 1 1
000584268 0 1 1 0 1 0 1 1 1
000593244 0 0 1 0 1 0 0 0 0
000603423 0 1 1 1 1 0 1 1 1
000618611 0 0 1 0 1 0 0 0 0
000645598 0 1 1 1 1 0 1 1 0
000667402 0 1 1 0 1 0 1 1 1
000681833 0 1 1 1 0 0 1 1 0
000690370 0 1 1 1 0 0 0 0 1
000728410 0 0 1 1 1 0 1 0 1
000823534 0 1 1 0 1 0 0 0 0
000884338 0 1 1 0 1 0 1 1 1
000888917 0 1 1 1 1 0 1 1 1
001058254 0 1 1 1 1 0 1 1 1
001096445 0 0 1 0 1 0 1 0 0
001106608 0 0 1 0 0 0 1 0 0
001109370 0 1 1 1 1 0 1 1 1
001155423 0 0 1 1 1 0 0 0 1
001165232 0 0 1 0 1 0 0 0 0
001167576 0 0 1 1 1 0 1 0 1
001186659 0 1 1 0 0 0 0 0 1
001195551 0 1 1 0 1 0 1 1 1
001214907 0 1 1 0 1 0 1 1 0
001223494 0 1 1 0 1 0 0 1 1
001249291 0 1 1 1 1 0 1 1 1
001254143 0 0 1 0 1 0 1 0 0
001255629 0 1 1 0 1 0 1 1 0
001265271 0 0 1 1 1 0 1 1 0
001280031 0 1 1 1 0 0 0 0 1
001280346 0 1 1 0 1 0 0 0 1
001289008 0 0 1 0 1 0 1 0 0
001302041 0 1 1 0 1 0 1 0 1
001327097 0 1 1 0 1 0 0 0 1
001333608 0 1 1 0 1 0 0 1 1
001348291 0 1 1 0 1 0 1 1 1
001351832 0 0 1 0 1 0 0 0 0
001357185 0 0 1 0 1 0 0 0 0
001378728 0 1 1 0 1 0 1 1 1
001381482 0 0 1 0 1 0 0 0 0
001455039 0 0 1 1 1 0 1 1 1
001468222 1 1 1 1 1 0 1 1 1
001500636 0 1 1 1 1 0 1 1 0
001507847 0 0 1 0 1 0 0 0 0
001526847 0 1 1 0 0 0 1 0 0
001535376 0 1 1 1 1 0 1 1 0
001551084 0 0 1 1 0 0 1 0 1
001554062 0 0 1 0 1 0 0 0 0
001558139 0 1 1 0 1 1 0 0 1
001570191 0 0 1 0 1 0 0 0 1
001576248 0 0 1 0 1 0 0 1 1
001584572 0 0 1 0 1 0 0 0 1
001599695 0 0 1 1 1 0 1 1 1
001650878 0 0 1 0 1 0 1 0 0
001690197 0 0 1 0 1 0 1 1 0
001701937 0 1 1 1 1 0 0 1 1
001714054 0 1 1 1 1 0 1 1 1
001746288 0 0 1 1 1 0 1 0 1
001757137 0 1 1 0 1 0 1 0 0
001769066 0 1 1 0 1 0 0 1 0
001780089 0 0 1 1 1 0 1 1 0
001783414 0 1 1 1 1 0 1 0 1
001791474 0 1 1 0 1 0 1 1 1
001800580 0 0 1 0 0 0 0 0 0
001822238 0 0 1 1 0 0 1 0 0
001872142 0 0 1 0 1 0 0 0 1
001892447 0 1 1 0 1 0 0 0 1
001897800 0 1 1 1 0 1 0 0 1
001911478 0 1 1 1 1 0 0 0 1
001925395 0 1 1 0 1 0 1 0 1
001932144 0 1 1 0 1 0 0 0 1
001938083 0 0 1 0 1 0 1 0 0
001955871 0 1 1 0 1 0 1 1 0
001984749 0 1 1 0 1 0 1 0 1
001987668 0 1 1 0 1 1 1 1 1
002001709 0 1 1 0 1 0 1 1 0
002014306 0 0 1 0 0 0 0 0 0
002023851 0 0 1 0 1 0 1 0 1
002037810 0 0 1 1 0 0 0 0 0
002040822 0 1 1 1 1 0 1 0 1
002046035 0 1 1 0 1 0 1 1 0
002057768 0 1 1 1 1 0 1 1 1
002089084 0 1 1 0 0 0 0 0 1
002095594 0 1 1 0 1 0 1 1 0
002104024 0 1 1 1 1 0 1 0 1
002111920 0 1 1 0 0 0 0 0 0
002117562 0 0 1 0 0 0 1 0 1
002123909 0 1 1 0 1 0 0 1 1
002137149 0 0 1 0 0 0 0 1 0
002138121 0 1 1 0 0 0 1 0 1
002146140 0 1 1 0 1 1 0 0 1
002154623 0 1 1 0 0 0 1 1 0
002162345 0 0 1 0 0 0 1 0 0
002213890 0 0 1 0 1 0 0 0 1
002231264 0 1 1 0 0 0 1 0 0
002234193 0 1 1 1 1 0 1 0 1
002255990 0 0 1 0 0 0 1 0 0
002261014 0 0 1 0 0 0 1 1 1
002275097 0 1 1 0 1 0 0 1 1
002283372 0 1 1 0 0 0 1 1 1
002286797 0 1 1 1 1 0 1 0 1
002316545 0 0 1 1 1 0 1 1 0
002330199 0 1 1 0 1 1 1 1 1
002377448 0 1 1 0 1 0 0 0 1
002389674 0 0 1 0 1 0 1 0 1
002397867 0 1 1 1 0 0 0 0 1
002413714 0 1 1 1 1 0 1 1 1
002449411 0 0 1 0 1 0 0 1 0
002475192 0 1 1 1 1 0 1 1 1
002477131 0 1 1 0 1 1 1 1 1
002486694 0 0 1 1 0 0 1 1 0
002509164 0 1 1 1 1 0 1 0 1
002512358 0 0 1 1 1 0 1 1 0
002522522 0 1 1 0 0 0 1 0 1
002552917 0 1 1 1 1 0 1 0 1
002587384 0 1 1 1 1 0 0 0 0
002594026 0 0 1 0 1 0 0 0 1
002601110 0 1 1 0 0 0 1 0 1
002606358 0 0 1 1 0 0 1 0 1
002623999 0 0 1 1 1 0 1 1 1
002639029 0 0 1 0 1 1 1 1 1
002641983 0 1 1 0 0 0 1 0 1
002643849 0 1 1 0 0 0 1 1 1
002663623 0 0 1 0 0 0 1 0 0
002668366 0 1 1 1 1 0 1 1 1
002679074 0 1 1 0 0 0 1 0 0
002679579 0 0 1 0 1 0 1 0 0
002680577 0 0 1 0 1 0 1 1 0
002692051 0 0 1 1 0 0 0 0 0
002712081 0 1 1 0 1 0 0 0 0
002720910 0 0 1 0 1 0 0 0 0
002731271 0 1 1 0 1 0 1 0 0
002733624 0 1 1 1 1 0 1 0 1
002763233 0 1 1 0 1 0 1 0 1
002778157 0 0 1 1 1 0 1 1 1
002789113 0 1 1 1 1 0 1 1 1
002797538 0 0 1 1 1 0 0 1 0
002816916 0 1 1 1 1 0 1 1 1
002831527 0 0 1 0 0 0 0 0 0
002838886 0 1 1 0 0 0 1 0 1
002844884 0 0 1 0 0 0 1 0 0
002851095 0 1 1 0 1 1 1 1 1
002860161 0 1 1 1 1 0 1 1 1
002882470 0 0 1 1 1 0 1 0 0
002885739 0 1 1 0 1 0 1 1 1
002889541 0 0 1 0 1 0 0 0 0
002896058 0 0 1 1 1 0 0 0 1
002934560 0 0 1 0 0 0 0 0 0
002939825 0 1 1 1 1 0 1 1 0
002951044 0 1 1 0 1 0 1 1 0
002956845 0 0 1 0 0 0 1 0 0
002974806 0 0 1 0 0 0 0 0 0
002994069 0 1 1 1 1 0 1 1 1
002999779 0 0 1 0 0 0 1 0 0
003011095 0 1 1 0 1 0 1 1 0
003027125 0 0 1 1 1 0 1 0 0
003062064 0 0 1 1 1 0 0 1 0
003070877 0 1 1 0 1 0 0 0 1
003080850 0 0 1 0 0 0 0 1 0
003085891 0 0 1 0 1 0 1 0 0
003093093 0 0 1 1 1 0 0 1 1
003106424 0 1 1 0 1 0 1 0 0
003131323 0 0 1 1 1 0 1 1 0
003139987 0 1 1 1 1 0 0 1 1
003149184 0 0 1 1 1 0 1 0 1
003157666 0 0 1 0 1 0 1 1 1
003159597 0 0 1 0 1 0 0 0 0
003177086 0 1 1 0 1 0 1 1 1
003181906 0 1 1 0 1 0 0 0 0
003183571 0 1 1 0 1 0 1 0 1
003191715 0 1 1 1 1 0 1 0 1
003197902 0 1 1 1 1 0 1 1 1
003206653 0 1 1 0 1 0 1 0 1
003230307 0 0 1 0 1 0 1 0 1
003235454 0 1 1 1 0 0 1 1 0
003239407 0 1 1 1 1 0 1 0 0
003254612 0 1 1 0 1 0 1 1 0
003258886 0 0 1 0 0 0 1 0 1
003263787 0 1 1 0 1 0 1 0 1
003266665 0 0 1 1 0 0 1 0 1
003283678 0 1 1 0 1 0 1 1 1
003288578 0 1 1 0 0 0 1 0 1
003300787 0 1 1 0 1 1 1 1 1
003305026 0 0 1 1 1 0 0 0 0
003311388 0 1 1 1 1 0 1 1 0
003336930 0 1 1 1 1 0 1 1 1
003339389 0 0 1 0 1 0 1 0 1
003339900 0 1 1 0 1 0 1 1 1
003353596 0 0 1 0 0 0 1 0 0
003355914 0 0 1 0 1 0 1 0 1
003368743 0 1 1 0 1 0 0 0 1
003378569 0 0 1 0 1 0 0 1 0
003388394 0 1 1 0 0 0 1 1 0
003399250 0 1 1 1 1 0 0 1 1
003423613 0 1 1 1 1 0 1 1 1
003438934 0 0 1 0 1 0 1 0 1
003467560 0 0 1 0 1 0 1 1 0
003481637 0 0 1 0 0 0 0 0 0
003491347 0 0 1 1 1 0 1 0 0
003509205 0 1 1 1 1 0 0 0 1
003511219 0 1 1 0 1 0 1 1 1
003527017 0 1 1 1 1 0 1 1 1
003528742 0 0 1 0 1 0 1 0 0
003538600 0 1 1 0 1 0 1 1 0
003549318 0 0 1 0 1 0 0 0 1
003549987 0 1 1 1 1 0 1 0 0
003557626 0 1 1 0 1 0 0 1 0
003573367 0 0 1 1 1 0 0 1 1
003594132 0 0 1 0 0 0 0 0 1
003616273 1 1 1 0 1 0 1 1 1
003616778 0 0 1 1 1 0 1 1 1
003626538 0 1 1 1 1 0 1 1 1
003643780 0 1 1 0 0 0 1 0 1
003648391 0 1 1 1 1 0 1 1 1
003655339 0 0 1 0 1 0 1 1 0
003679958 0 1 1 1 1 0 1 1 1
003697638 0 1 1 1 1 0 1 1 1
003702727 0 1 1 0 0 0 0 1 1
003740131 0 1 1 0 1 0 1 0 1
003748084 0 1 1 1 1 1 1 1 1
003765732 0 0 1 1 0 0 0 0 0
003787207 0 0 1 0 1 0 0 0 0
003805462 0 0 1 0 0 0 1 0 0
003806585 0 0 1 0 0 0 1 1 1
003807039 0 1 1 0 1 0 0 0 0
003811536 0 1 1 0 1 0 0 0 0
003818812 0 0 1 0 1 0 1 0 0
003819828 0 0 1 1 1 0 0 0 1
003823903 0 0 1 0 0 0 1 0 0
003825247 0 1 1 0 1 0 1 1 1
003833464 0 0 1 0 1 0 1 1 1
003851698 0 1 1 0 1 0 1 1 1
003877040 0 0 1 0 0 0 0 0 0
003884418 0 1 1 0 1 0 0 0 1
003890647 0 1 1 1 1 0 0 0 1
003908175 0 0 1 0 0 0 0 0 0
003911740 0 0 1 1 1 0 1 1 1
003931425 0 1 1 1 1 0 1 0 1
003932233 0 1 1 1 1 1 1 0 0
003948569 0 1 1 0 1 0 1 1 0
003956125 0 0 1 0 1 0 0 0 0
003957784 0 1 1 0 1 0 0 1 1
003971132 0 0 1 1 1 0 1 1 1
003978319 0 0 1 0 1 0 1 1 0
004012043 0 1 1 1 1 0 1 1 1
004050027 0 1 1 0 1 1 0 0 1
004057725 0 1 1 0 1 0 0 0 0
004060216 0 1 1 1 1 0 1 0 0
004063939 0 0 1 0 1 0 1 0 0
004064424 0 0 1 0 0 1 1 0 0
004067625 0 0 1 0 1 0 0 1 1
004071684 0 1 1 0 1 0 0 0 0
004081790 0 1 1 0 1 0 0 0 0
004092896 0 0 1 1 1 0 1 1 0
004096772 0 0 1 0 0 0 0 0 0
004105128 0 1 1 1 1 0 1 1 1
004111597 0 1 1 1 1 0 1 1 1
004125175 0 0 1 0 0 0 0 0 0
004133948 0 0 1 0 1 0 0 1 1
004135414 0 0 1 0 1 0 0 0 0
004140190 1 1 1 0 0 0 0 0 1
004151825 0 1 1 0 1 0 0 1 1
004152963 0 0 1 1 0 0 0 0 1
004159604 0 1 1 1 1 0 1 1 1
004162376 0 1 1 0 1 0 1 1 1
004165528 0 1 1 1 0 0 1 1 1
004171278 0 0 1 0 0 0 1 0 0
004171690 0 1 1 0 0 0 0 0 0
004173720 0 0 1 0 0 0 0 0 1
004182663 0 0 1 0 0 0 1 0 1
004190179 0 0 1 1 1 0 0 0 0
004193652 0 0 1 1 1 1 1 1 1
004197505 0 1 1 0 1 0 0 1 1
004215463 0 0 1 1 1 0 1 1 1
004216057 0 1 1 0 1 0 1 0 1
004217857 0 0 1 0 0 0 0 0 1
004222535 0 1 1 1 1 0 0 0 1
004224614 0 0 1 0 0 0 0 0 0
004227419 0 1 1 0 0 0 1 0 0
004230082 0 0 1 0 1 0 0 1 0
004231569 0 0 1 1 0 0 0 1 1
004240552 0 0 1 0 1 0 0 0 1
004248290 0 1 1 0 1 0 0 0 0
004249744 0 1 1 0 1 0 0 0 1
004252995 0 0 1 0 1 0 0 0 0
004256020 0 1 1 1 1 0 1 1 0
004256293 0 0 1 1 1 0 1 1 1
004259198 0 0 1 0 1 0 0 0 1
004261178 0 1 1 1 1 0 0 1 1
004268082 0 0 1 0 0 1 0 0 1
004270419 0 1 1 1 1 0 0 1 1
004290540 0 0 1 1 0 0 1 0 0
004293973 0 0 1 0 0 1 0 0 1
004303434 0 0 1 1 1 0 1 1 1
004309696 0 1 1 0 1 0 1 1 0
004313904 0 0 1 0 1 1 0 0 1
004318408 0 1 1 0 1 0 1 1 1
004329520 0 0 1 0 1 0 0 0 0
004335949 0 1 1 1 1 0 1 1 1
004337580 0 1 1 0 1 0 0 0 0
004341962 0 0 1 1 1 0 1 1 0
004348314 0 0 1 1 1 0 1 0 0
004350765 0 1 1 0 0 0 0 1 1
004352985 0 0 1 1 1 0 0 0 0
004354122 0 0 1 0 1 0 0 0 1
004365227 0 0 1 0 0 0 0 0 1
004366621 0 0 1 0 1 0 1 1 1
004377149 0 0 1 1 1 0 0 0 0
004385860 0 0 1 1 1 0 1 1 1
004386587 0 1 1 0 1 1 1 1 1
004394003 0 0 1 0 1 0 1 0 1
004395760 0 0 1 0 0 0 0 0 0
004403952 0 0 1 1 1 0 0 0 0
004404117 0 1 1 1 1 1 1 1 1
004411914 1 1 1 0 1 0 0 0 1
004413142 0 1 1 0 0 0 0 1 1
004413985 0 1 1 1 1 0 1 0 1
004416590 0 1 1 0 0 0 0 0 1
004417531 0 1 1 0 1 0 0 1 1
004423414 0 0 1 0 1 0 0 1 0
004435152 0 0 1 0 1 0 1 1 1
004437406 0 0 1 0 0 0 1 0 0
004439063 0 0 1 0 1 0 0 0 0
004443735 0 1 1 0 1 0 1 0 1
004447892 0 1 1 1 1 0 1 1 0
004450391 0 0 1 0 0 0 0 0 1
004451225 0 1 1 0 1 0 0 1 1
004451951 0 0 1 0 1 0 0 1 1
004455903 0 1 1 1 0 1 1 0 1
004459517 0 1 1 0 1 0 1 0 1
004462420 0 1 1 1 1 1 1 1 1
004463196 0 1 1 1 1 0 1 0 1
004470969 0 0 1 1 1 0 1 1 0
004474334 0 0 1 1 1 0 1 1 0
004478525 0 1 1 0 1 0 1 0 1
004485173 0 0 1 0 0 0 0 0 0
004486932 0 0 1 0 1 0 0 0 0
004488821 0 1 1 0 1 0 0 0 0
004493557 0 1 1 1 1 0 0 1 1
004495834 0 1 1 0 1 0 0 0 0
004499471 0 1 1 0 1 0 1 0 1
004501847 0 0 1 0 1 0 0 0 0
004509626 0 0 1 0 0 0 0 0 0
004509808 0 0 1 0 0 0 0 1 1
004519781 0 0 1 1 0 0 0 0 1
004520003 0 1 1 1 1 0 0 1 1
004522348 0 0 1 0 1 0 0 0 1
004522892 0 0 1 1 1 0 0 0 1
004528121 0 0 1 1 1 0 1 0 0
004530473 0 1 1 0 0 0 0 0 0
004532891 0 0 1 0 1 0 1 0 0
004534509 0 1 1 0 1 0 0 0 0
004535225 0 1 1 1 0 0 1 0 0
004538369 0 0 1 0 1 0 0 0 0
004542551 1 1 1 1 0 0 1 1 1
004543500 0 0 1 0 0 0 0 0 0
004545034 0 1 1 0 1 1 1 1 0
004549903 0 1 1 0 1 0 1 1 1
004551503 0 0 1 0 1 0 1 0 0
004551909 0 0 1 0 1 0 1 1 1
004553426 0 0 1 0 0 0 1 0 0
004578498 0 0 1 0 1 0 0 0 1
004606331 0 1 1 0 0 0 0 0 0
004612792 0 0 1 0 1 0 1 0 1
004628145 0 0 1 0 0 0 1 0 0
004629606 0 0 1 0 1 0 1 1 1
004633293 0 0 1 0 0 0 0 0 0
004639456 0 0 1 0 0 0 0 0 0
004641403 0 0 1 0 0 0 0 0 0
004643979 0 1 1 1 0 0 1 0 0
004650438 0 0 1 0 1 0 0 1 0
004652665 0 0 1 0 1 0 0 0 1
004653374 0 0 1 1 1 0 1 1 1
004658266 0 0 1 1 1 0 1 0 1
004661187 0 0 1 0 1 0 0 0 1
004668588 0 1 1 1 1 0 1 0 0
004669727 0 0 1 0 1 0 1 0 0
004674206 0 1 1 1 1 0 1 1 0
004676151 0 0 1 0 1 0 1 0 0
004687000 0 0 1 0 1 0 0 0 0
004689337 0 1 1 0 1 0 0 0 0
004691879 0 0 1 0 0 0 0 0 1
004695300 0 0 1 1 1 1 0 0 0
004696290 0 0 1 0 0 0 0 0 0
004698544 0 0 1 0 0 0 1 0 0
004702205 0 0 1 1 1 0 0 0 1
004705091 0 0 1 0 1 0 0 0 0
004706594 0 0 1 0 0 0 0 0 0
004708772 0 0 1 0 1 0 0 1 1
004713467 0 0 1 1 1 0 0 0 1
004722948 0 0 1 0 1 0 1 1 1
004724563 0 0 1 0 0 0 0 0 0
004726634 0 1 1 0 0 0 0 1 1
004731535 0 0 1 0 0 0 0 0 1
004743043 0 0 1 1 1 0 1 0 0
004744686 0 1 1 1 1 0 0 0 1
004750634 0 0 1 0 1 0 0 0 0
004766721 0 0 1 1 1 0 1 0 0
004771051 0 1 1 0 1 0 1 0 1
004773735 0 0 1 0 1 0 0 0 0
004775193 0 0 1 0 1 0 1 0 0
004775755 0 0 1 0 1 0 0 0 0
004776837 0 1 1 1 0 0 0 0 1
004785374 0 0 1 0 0 0 1 0 1
004798583 0 0 1 0 0 0 0 0 0
004809943 0 0 1 0 0 0 0 0 0
004813671 0 1 1 0 1 0 1 0 1
004821062 0 0 1 0 1 0 0 0 0
004828612 0 0 1 0 0 0 0 0 1
004837324 0 0 1 0 0 0 0 0 1
004838009 0 1 1 0 0 0 0 0 0
004842589 0 1 1 1 0 0 0 0 0
004848735 0 0 1 0 1 0 0 1 1
004853487 0 0 1 0 0 0 0 0 1
004855185 0 0 1 0 1 0 0 0 0
004860300 0 0 1 0 0 0 0 0 0
004869913 0 1 1 0 0 0 0 0 1
004872719 0 0 1 1 0 0 1 0 0
004872909 0 0 1 0 0 0 0 0 0
004888988 0 0 1 0 0 0 0 0 0
004892949 0 0 1 0 0 0 0 0 1
004901302 0 0 1 0 0 0 0 0 1
004905105 0 0 1 0 1 0 0 0 0
004909271 0 1 1 0 1 0 0 1 1
004910485 0 0 1 0 1 0 0 1 0
004917662 0 0 1 1 1 0 1 0 1
004918181 0 0 1 0 1 0 0 0 1
004921144 0 1 1 0 1 0 0 0 0
004924858 0 1 1 0 1 0 0 1 1
004927968 0 1 1 0 0 0 0 0 0
004930335 0 0 1 1 1 0 1 1 0
004932836 0 0 1 0 0 0 0 0 0
006002711 0 0 1 0 0 0 0 1 0
006012736 0 1 1 0 1 0 0 1 1
006040489 0 1 1 0 1 0 0 0 1
006053672 0 1 1 1 1 0 1 0 1
006070676 0 0 1 1 1 0 1 1 1
006078877 0 1 1 0 1 0 1 1 1
006083372 0 0 1 1 1 0 1 0 0
006099261 0 1 1 1 1 0 1 0 0
006113542 0 1 1 0 1 0 1 0 0
006122386 0 1 1 0 0 0 1 0 0
006134381 0 0 1 0 0 0 0 0 1
006160675 0 1 1 1 1 0 1 0 0
006166581 0 1 1 1 1 0 1 1 1
006189294 0 0 1 1 1 0 1 0 0
006194187 0 0 1 0 1 0 0 1 0
006200190 0 0 1 1 0 0 1 1 0
007004112 0 0 1 0 1 0 0 0 0
007018880 0 1 1 0 0 0 1 0 1
007024839 0 1 1 1 1 0 1 1 0
007037609 0 0 1 1 1 0 1 0 1
007044571 0 1 1 1 1 0 1 1 1
007047640 0 1 1 0 0 0 1 0 0
007047871 0 0 1 0 0 0 1 0 1
007052111 0 0 1 0 0 0 0 1 1
007099211 0 1 1 1 0 0 1 0 1
007106503 0 0 1 0 0 0 1 0 1
007132905 0 1 1 0 1 0 1 1 0
007144447 0 0 1 0 0 0 1 0 0
007157340 0 0 1 0 1 0 0 0 0
007188402 0 0 1 0 1 0 0 0 1
007190770 0 0 1 1 1 0 1 1 1
007334352 0 1 1 0 1 0 1 1 1
007517535 0 1 1 1 1 1 1 1 1
007519861 0 1 1 0 1 0 0 1 1
007526171 0 1 1 1 1 0 1 1 1
007547326 0 1 1 0 1 0 1 0 1
007554777 0 1 1 1 1 0 1 1 1
007561061 0 1 1 0 1 0 0 1 0
008012429 0 1 1 0 1 0 1 1 1
008023046 0 1 1 1 1 0 1 0 1
008032609 0 0 1 0 1 0 0 0 1
008052144 0 1 1 0 0 0 0 0 0
008053472 0 1 1 0 0 0 1 0 0
008055105 0 1 1 1 1 0 1 1 1
008070948 0 0 1 1 0 0 0 0 1
008078818 0 1 1 1 1 0 1 1 1
008083909 1 1 1 0 1 0 0 1 0
008091670 0 1 1 1 1 0 1 1 1
008114712 0 1 1 0 1 0 1 1 1
008836199 0 0 1 0 0 0 0 0 1
008953028 0 0 1 0 1 0 1 1 0
009079542 0 0 1 0 0 0 0 0 1
015104771 0 0 1 0 1 0 0 1 0
015233240 0 0 1 0 1 0 0 1 1
015387988 0 1 1 1 1 0 1 1 1
015472798 0 1 1 0 0 0 0 0 0
015522881 0 0 1 0 0 0 0 0 0
015623895 0 0 1 0 1 0 0 0 0
015676539 0 1 1 0 0 0 1 0 1
015724412 0 0 1 0 1 0 0 1 0
015964208 0 0 1 1 1 0 1 1 1
016093809 0 0 1 0 0 0 1 0 0
016166027 0 1 1 0 1 0 0 0 0
016208027 0 0 1 0 0 0 1 0 0
016705618 0 1 1 0 1 0 0 0 0
016718868 0 1 1 0 1 0 0 0 1
016737504 0 1 1 0 0 0 0 0 0
016770513 1 0 1 0 0 0 0 0 0
016798142 0 0 1 0 1 0 0 0 0
016828469 0 0 1 0 1 0 1 0 0
016920126 0 0 1 0 0 0 1 0 0
016944019 0 0 1 0 1 0 1 0 1
017254889 0 0 1 0 0 0 0 0 1
017392135 0 0 1 0 1 0 1 1 0
017419532 0 0 1 0 1 0 0 0 0
017695024 0 1 1 0 1 0 1 1 0
017710856 0 1 1 0 1 0 0 0 0
017753369 0 1 1 0 0 0 0 0 0
017855008 0 0 1 0 1 0 1 0 0
017868076 0 0 1 0 0 0 0 0 0
017906405 0 1 1 1 1 0 0 1 1
017930165 0 0 1 0 0 0 0 0 1
018082669 1 1 1 0 1 0 1 0 1
018092072 0 0 1 0 1 0 1 0 0
018200865 0 0 1 0 1 0 1 0 1
018228049 0 0 1 1 0 1 1 0 0
018326272 0 1 1 0 1 0 0 1 1
018482844 0 0 1 1 1 0 1 0 1
018729061 0 0 1 0 1 0 0 0 0
018878868 0 1 1 0 0 0 0 0 1
018935437 0 1 1 0 1 0 1 1 0
019058924 0 1 1 1 1 0 1 0 1
019204395 0 0 1 0 0 0 0 0 0
019264670 0 1 1 0 1 0 0 0 1
019706852 0 1 1 1 1 0 1 1 0
019811827 1 1 1 0 0 0 0 0 0
019836170 0 1 1 0 0 0 1 1 0
020196226 0 1 1 1 1 0 1 1 0
020212460 0 0 1 0 1 0 0 1 1
020235354 0 0 1 0 1 0 1 0 0
020429700 0 1 1 0 1 0 1 1 1
020551453 0 0 1 0 0 0 0 1 1
020589594 0 1 1 0 0 0 1 0 0
020704169 0 1 1 0 0 0 1 0 1
020766119 0 1 1 0 1 0 0 0 0
021096177 0 0 1 0 1 0 0 0 1
021241013 0 1 1 1 0 0 1 0 0
021462338 0 1 1 0 0 0 1 1 0
021532510 0 1 1 0 1 0 0 0 0
021658182 0 0 1 0 1 0 0 0 1
021873591 1 1 1 0 1 1 0 0 1
021904271 0 1 1 0 0 0 0 1 1
022332167 0 0 1 1 0 0 1 1 0
022603963 0 0 1 1 0 0 1 0 0
022715379 0 0 1 0 0 1 0 0 1
022899306 0 0 1 0 1 0 0 0 1
023154420 0 0 1 0 0 0 0 0 0
023181209 0 1 1 0 1 0 1 1 1
023457989 0 0 1 0 1 0 1 1 0
023565955 0 0 1 0 0 0 1 0 0
023681745 0 0 1 0 0 0 1 1 1
023721632 0 0 1 0 0 0 0 0 1
023852536 0 0 1 0 0 0 0 0 0
024060279 0 1 1 1 1 0 1 1 0
024174559 0 0 1 0 1 0 1 0 0
024229718 0 0 1 0 1 0 0 0 0
024418071 0 1 1 0 1 0 0 1 1
024557803 1 1 1 0 1 0 1 1 0
024575946 0 0 1 0 1 0 0 0 0
024889602 0 0 1 1 1 1 0 0 0
024950206 0 1 1 0 1 0 0 1 1
025139858 0 1 1 0 1 1 0 1 1
025210253 1 1 1 0 1 0 1 1 1
025344581 0 1 1 1 1 0 0 0 1
025558263 0 0 1 0 0 1 1 0 1
025669508 0 1 1 0 0 0 1 1 0
025789637 0 1 1 0 0 0 0 0 0
025973389 0 1 1 0 1 0 1 0 0
026061481 0 0 1 1 0 0 0 0 1
026297903 0 0 1 0 1 0 0 0 0
026725424 0 0 1 0 1 0 0 1 0
026928333 0 0 1 0 1 0 0 0 0
027059294 0 0 1 0 0 0 1 0 0
027220664 1 0 1 0 0 1 1 1 0
027302074 0 1 1 1 1 0 1 1 0
027400118 0 0 1 1 0 1 0 0 1
027572866 0 1 1 0 1 0 1 0 0
027839018 0 0 1 0 0 0 1 0 0
028041499 0 0 1 0 0 0 0 0 1
028696151 0 1 1 0 1 0 0 0 0
028781557 0 0 1 0 0 0 0 0 0
028819738 0 0 1 0 1 0 0 0 1
028969533 0 1 1 1 1 0 0 1 0
029044476 0 1 1 0 0 0 1 0 1
029047073 0 0 1 0 1 0 0 0 0
029057361 0 1 1 1 1 0 1 1 0
029247319 0 1 1 0 1 0 1 0 0
029502135 0 1 1 0 1 0 0 0 1
029612769 0 1 1 0 1 1 1 0 0
029909090 0 0 1 0 1 0 0 0 0
029952819 1 1 1 0 1 0 1 0 1
030054860 0 0 1 1 0 0 1 0 0
030083786 0 1 1 0 1 0 0 0 0
030307235 0 1 1 0 0 1 1 1 0
030485809 0 1 1 1 1 0 1 1 1
030736300 0 1 1 0 0 0 0 0 0
030858708 0 0 1 1 0 0 1 0 0
030901227 0 0 1 0 0 0 0 0 1
030915631 0 1 1 0 1 0 1 1 1
030925275 0 1 1 0 0 0 1 0 1
030956742 0 1 1 1 1 0 1 1 1
031063340 0 0 1 0 0 0 0 0 0
031318959 0 1 1 0 1 0 1 1 0
031489297 0 0 1 0 1 0 1 0 0
031551930 0 0 1 0 0 0 0 0 0
031738578 0 0 1 0 0 0 1 0 1
031916018 0 1 1 0 0 0 0 0 1
032014904 0 1 1 0 0 0 0 0 0
032030124 0 1 1 0 0 0 1 0 0
032315913 0 0 1 0 1 0 0 0 0
032737306 0 0 1 0 1 0 0 0 0
032790974 0 1 1 1 1 0 0 0 1
032848483 0 1 1 1 1 0 1 0 1
033097700 1 1 1 1 1 1 1 1 1
033201443 0 0 1 0 1 0 1 1 1
033452418 0 0 1 0 1 0 1 0 0
033537465 0 1 1 0 1 0 0 1 1
033599143 0 1 1 0 1 0 1 0 1
033716267 0 1 1 0 1 0 0 1 0
033776063 0 0 1 0 1 0 0 0 0
034029249 0 1 1 1 1 0 1 1 0
034133710 0 1 1 0 1 0 0 1 0
034159897 0 0 1 0 0 0 1 0 0
034183012 0 1 1 0 0 0 0 0 1
034323311 0 0 1 0 0 0 1 0 0
034410639 0 1 1 0 1 0 1 1 1
034603829 0 1 1 0 1 1 1 0 0
034619429 0 0 1 0 0 0 0 0 0
034762484 0 0 1 0 1 0 1 0 0
034799841 0 0 1 1 1 1 0 0 1
034821314 0 1 1 0 1 0 0 1 1
034871129 0 1 1 0 1 0 0 1 0
034937672 0 0 1 0 1 0 1 0 0
035002096 0 0 1 0 1 0 1 1 0
035088541 0 0 1 1 1 0 1 0 0
035124593 0 1 1 0 1 0 0 1 0
035144906 1 1 1 0 0 0 0 0 0
035352350 0 0 1 1 0 0 1 0 0
035385160 0 0 1 0 1 0 1 0 0
035454107 0 1 1 1 1 1 1 1 1
035556174 0 1 1 0 0 0 1 1 0
035679901 0 0 1 0 0 1 0 0 0
035747658 0 1 1 0 0 0 0 0 1
035818228 1 1 1 1 0 0 1 1 1
035863653 0 0 1 0 0 0 1 0 1
035960590 0 0 1 1 1 0 1 1 1
036087930 0 1 1 1 0 0 0 0 1
036191393 0 0 1 0 1 0 0 1 0
036278836 0 0 1 0 0 0 0 0 0
036327575 0 1 1 0 1 0 1 1 1
036428456 0 1 1 0 1 0 0 1 1
036959625 0 1 1 0 0 0 0 0 1
037142254 0 1 1 0 1 0 0 0 1
037277852 0 1 1 0 1 0 0 1 1
037328218 0 1 1 0 1 0 0 1 1
037359759 0 0 1 0 0 0 0 0 1
037389194 0 0 1 0 1 0 0 1 0
037534534 0 1 1 0 1 0 1 1 1
037684081 0 1 1 0 1 0 0 1 0
037859881 0 1 1 0 1 0 1 1 1
037928694 0 0 1 0 1 0 0 1 1
037987765 0 0 1 0 1 0 0 0 0
038015814 0 0 1 0 1 0 0 0 0
038036018 0 1 1 0 1 0 0 1 0
038170809 1 1 1 0 1 0 1 1 1
038477261 0 0 1 0 0 0 0 0 0
038810453 0 1 1 1 0 0 1 0 1
039130810 0 1 1 0 1 0 1 1 1
039221627 0 1 1 0 1 0 0 0 1
039440250 0 0 1 0 1 0 0 0 0
039591219 0 1 1 1 1 0 1 0 1
039620000 0 0 1 0 1 0 0 0 0
039706122 0 1 1 0 1 0 0 0 1
039842596 0 0 1 1 0 0 1 0 1
039895123 0 0 1 0 1 0 0 1 0
039958707 0 1 1 1 0 0 1 0 1
040177222 0 0 1 0 0 0 0 0 1
040215568 0 0 1 0 1 0 0 1 0
040484057 1 1 1 0 1 0 1 1 1
040533606 0 0 1 0 0 0 1 1 0
040586091 0 0 1 0 0 0 0 0 0
040692956 0 1 1 0 1 0 1 1 0
040706707 0 0 1 0 0 0 0 1 1
040771073 0 1 1 0 1 0 0 0 0
040800450 0 1 1 0 1 0 0 0 0
040848277 0 1 1 0 1 0 1 1 1
040937765 0 1 1 0 0 0 1 0 0
041048166 0 1 1 0 1 0 1 1 1
041097452 0 1 1 0 1 0 0 1 1
041166141 0 0 1 0 1 0 1 0 1
041349028 0 0 1 1 1 0 1 0 0
041379637 0 0 1 0 0 0 1 1 0
041504325 0 1 1 0 1 0 1 1 1
041531047 0 1 1 0 1 0 0 0 1
041629767 0 1 1 0 1 0 1 1 1
041716465 0 1 1 0 1 0 1 0 1
041766742 0 1 1 0 1 0 1 1 0
041833112 0 0 1 0 0 0 0 0 0
042029033 0 0 1 0 1 0 0 0 0
042056200 0 0 1 1 0 0 0 0 0
042211334 0 0 1 1 0 0 1 0 0
042261479 0 0 1 0 0 0 0 1 0
042436113 0 0 1 0 0 0 0 0 0
042451757 0 0 1 0 1 0 1 0 0
042563908 0 0 1 0 1 0 1 0 0
042974659 0 0 1 0 0 0 0 0 1
042990986 1 1 1 0 1 1 1 1 1
043013986 0 0 1 0 1 0 0 1 0
043027762 0 0 1 0 0 0 1 1 1
043040146 0 1 1 1 1 0 1 0 1
043194109 0 1 1 0 1 0 0 0 0
043445477 0 1 1 0 1 0 1 1 0
043479880 0 0 1 0 0 0 0 0 1
043525070 0 1 1 1 1 0 0 1 1
043557974 0 0 1 0 0 0 0 0 0
043586718 0 0 1 0 1 0 0 0 1
043885961 0 0 1 0 0 0 1 1 1
043935691 0 1 1 0 1 0 0 1 0
044091965 0 0 1 0 1 0 0 0 0
044144285 0 0 1 0 1 0 0 1 0
044252583 0 0 1 0 0 0 0 0 1
044474518 0 1 1 0 1 0 0 1 0
044509016 0 0 1 0 1 0 0 0 0
044570034 0 1 1 1 1 0 0 1 0
044657054 0 1 1 1 0 1 0 0 1
044701191 1 1 1 0 1 0 0 1 0
044899458 0 1 1 0 1 0 1 0 1
045041290 0 1 1 1 1 0 1 1 1
045055191 0 0 1 0 1 0 0 0 0
045382587 0 0 1 0 0 0 1 0 1
045509478 0 1 1 0 0 1 0 1 1
045577970 0 0 1 1 1 0 1 1 1
045871233 0 0 1 0 1 0 0 1 0
046026175 0 0 1 0 1 0 0 0 0
046087342 0 1 1 0 1 0 1 1 1
046291142 0 0 1 1 0 0 1 0 0
046346672 0 0 1 0 1 0 0 0 0
046385316 0 1 1 0 1 0 0 1 1
046474649 0 1 1 1 1 0 0 0 1
046860011 0 0 1 0 0 0 1 0 0
047073440 0 1 1 0 1 1 0 0 1
047136304 0 0 1 1 0 0 0 0 1
047149968 0 1 1 0 1 0 1 1 1
047667761 0 1 1 0 1 0 0 1 1
047895818 0 0 1 0 0 0 0 0 0
048212740 0 1 1 0 1 0 1 1 1
048241400 0 0 1 1 0 0 1 0 0
048318448 0 1 1 1 1 0 1 0 0
048322887 0 1 1 1 0 0 0 1 0
048339865 0 1 1 0 1 0 1 1 1
048445316 0 0 1 0 1 0 0 0 1
048459119 0 0 1 0 1 0 1 0 1
048552145 0 0 1 0 0 0 0 0 1
048553499 0 0 1 0 0 0 0 0 1
048581094 0 1 1 0 1 0 1 0 1
048812754 0 0 1 0 1 0 0 0 0
048992044 0 1 1 0 1 0 1 0 1
049019672 0 1 1 0 0 1 0 0 0
049045644 0 1 1 0 1 0 0 0 0
049139769 0 0 1 0 1 0 0 1 0
049165897 0 0 1 0 0 0 1 0 0
049195191 0 1 1 1 0 1 1 1 1
049219918 0 1 1 0 0 0 1 0 0
049395676 0 0 1 1 1 0 1 1 1
049478365 0 1 1 0 1 1 0 0 1
049501760 0 1 1 0 1 0 0 0 1
049606619 0 0 1 1 1 0 1 1 0
049918337 0 0 1 0 1 0 0 0 0
049935919 0 1 1 0 0 1 0 0 0
050164961 0 0 1 0 1 0 1 1 0
050266378 0 0 1 0 0 0 0 1 0
050295724 0 1 1 0 1 0 0 0 0
050326644 0 0 1 0 1 0 0 1 0
050504430 0 1 1 0 1 0 0 1 0
050549914 1 0 1 1 1 0 1 1 1
050660414 0 0 1 1 1 0 1 1 0
050713882 0 1 1 1 1 0 1 1 1
050765783 0 0 1 0 0 0 1 1 0
051007763 0 0 1 0 1 0 1 0 0
051060697 0 0 1 0 1 0 0 0 0
051188464 0 0 1 0 0 0 0 0 0
051322576 0 0 1 0 1 0 0 0 0
051390177 0 1 1 0 1 0 0 0 0
051451821 0 0 1 0 1 0 0 0 0
051505444 0 1 1 0 1 0 1 1 1
051663060 0 0 1 0 0 0 1 0 0
051725877 0 1 1 0 1 0 0 1 1
052027604 0 1 1 0 1 0 1 0 1
052055381 0 0 1 0 0 0 0 0 0
052075934 0 0 1 0 0 0 1 0 0
052166030 0 0 1 0 1 0 1 1 0
052195591 0 0 1 0 1 0 1 1 1
052226818 0 0 1 0 1 0 0 0 0
052267895 0 1 1 0 0 0 0 0 1
052412178 0 0 1 0 0 0 0 0 0
052593647 0 0 1 0 0 0 0 0 0
052625506 1 0 1 0 1 0 0 0 1
053019642 0 1 1 0 1 0 1 0 0
053048708 1 1 1 0 1 0 0 1 0
053157814 0 0 1 0 1 0 0 0 0
053205878 0 0 1 0 0 0 0 0 0
053449005 0 0 1 0 0 0 0 0 0
053676946 0 1 1 0 1 0 0 0 1
053899134 0 1 1 0 1 0 0 1 1
054056213 0 1 1 0 0 0 0 0 1
054123021 0 0 1 0 1 0 0 0 0
054232293 0 0 1 0 0 0 1 0 1
054258017 0 0 1 0 1 0 0 0 1
054548763 0 1 1 0 1 0 0 1 1
054642541 0 1 1 0 1 0 0 0 0
054728712 0 0 1 0 1 0 1 0 1
055037998 0 1 1 0 1 0 1 1 0
055397301 0 1 1 0 1 0 0 1 1
055501340 0 1 1 0 1 0 1 0 1
055559264 0 0 1 0 1 0 1 0 1
055615645 0 1 1 0 0 0 0 1 0
055696082 0 0 1 1 0 0 1 0 0
056037096 0 1 1 0 0 0 0 0 0
056232127 0 0 1 0 0 0 0 1 0
056341951 0 1 1 0 1 0 1 1 0
056467483 0 0 1 0 1 0 0 1 0
056499221 0 0 1 0 0 0 0 0 0
056558844 0 0 1 0 0 0 1 0 1
056659857 0 0 1 0 0 0 0 0 0
056802028 0 0 1 1 0 0 0 1 0
056866312 0 1 1 0 1 0 0 0 0
057113649 0 1 1 0 1 0 0 1 0
057204190 0 0 1 0 0 0 1 0 1
057523201 0 1 1 0 1 0 0 1 0
057636128 0 0 1 0 1 0 0 0 0
057790164 0 0 1 0 1 0 1 1 1
057827925 0 1 1 1 1 1 1 1 1
057938201 0 1 1 0 1 0 1 1 1
058037029 0 0 1 0 0 0 1 0 0
058063058 0 0 1 1 0 0 1 0 1
058187899 0 1 1 0 1 0 0 1 0
058306416 0 0 1 1 0 1 1 0 1
058373689 1 1 1 0 1 0 1 0 1
058463423 0 0 1 0 0 0 0 0 0
058602269 0 1 1 1 1 0 1 0 1
058875568 0 0 1 0 0 0 1 0 0
058992421 0 1 1 0 1 0 1 0 0
059118919 0 0 1 0 0 0 0 1 0
059151613 0 1 1 0 0 0 1 1 0
059289009 0 1 1 0 0 0 0 0 1
059402172 0 0 1 0 0 0 0 0 1
059572743 0 0 1 1 0 0 0 0 1
060236569 0 1 1 0 0 0 0 1 1
060447109 0 1 1 1 0 0 0 1 0
060481546 0 0 1 1 1 0 0 0 0
060485356 0 0 1 0 1 0 0 0 1
060562287 0 1 1 0 0 0 0 0 1
060585171 0 1 1 0 1 0 1 1 1
060691516 0 1 1 0 0 0 0 1 0
060835980 0 0 1 0 1 0 0 1 0
060987252 0 0 1 0 1 0 1 1 1
061056842 0 0 1 0 0 0 1 0 1
061238416 0 1 1 1 0 0 1 1 0
061711859 0 1 1 0 1 1 1 0 0
061777421 0 0 1 0 0 0 1 0 1
061893459 0 1 1 0 1 0 1 1 1
062042619 0 1 1 0 1 0 1 1 0
062168000 0 1 1 0 0 0 0 1 0
062198361 0 0 1 0 0 0 1 0 0
062306444 0 1 1 0 1 0 1 0 0
062361019 0 0 1 0 0 0 0 0 0
062410675 0 1 1 1 1 0 1 1 0
062457585 0 0 1 0 1 0 1 0 0
062568605 0 1 1 1 1 0 1 1 1
062637772 0 0 1 0 1 0 0 0 0
062793104 0 1 1 1 1 0 1 1 1
062933346 0 1 1 1 1 0 1 1 0
063114284 1 1 1 0 1 1 0 0 0
063252142 0 0 1 1 1 0 1 0 0
063404305 0 0 1 1 0 0 1 0 1
063457873 0 0 1 0 1 0 0 0 1
063488373 0 0 1 0 0 0 0 0 0
063504070 0 0 1 0 0 0 0 0 0
063545313 0 1 1 1 1 0 1 1 1
063777221 0 1 1 0 1 0 1 0 0
063823710 0 0 1 1 0 0 0 0 1
063907455 0 0 1 0 1 0 0 1 0
064052798 0 0 1 0 1 0 0 0 0
064170525 0 1 1 0 1 1 0 0 1
064287923 0 0 1 0 0 0 0 0 0
064357791 0 0 1 0 0 0 1 1 0
064390685 0 1 1 1 0 0 0 0 0
064678477 0 0 1 0 0 0 0 0 0
064738222 0 0 1 0 0 0 0 0 0
064822299 0 1 1 0 1 0 0 0 0
065110157 0 1 1 1 1 0 1 0 0
065158891 0 1 1 0 1 0 1 1 1
065218901 0 1 1 0 1 0 1 0 0
065284218 0 0 1 0 1 0 0 0 0
065308173 0 0 1 0 0 0 1 0 0
065334351 0 0 1 0 1 0 1 0 0
065397465 0 0 1 0 0 0 0 0 0
065428286 0 0 1 0 1 0 1 0 1
065503476 0 1 1 0 1 0 1 1 0
065645194 0 0 1 0 1 0 0 1 0
065664963 0 1 1 0 1 0 0 1 1
065738882 0 1 1 1 0 0 1 0 0
065815441 0 1 1 0 0 0 0 1 0
065891525 0 1 1 0 1 0 1 1 1
066041187 1 0 1 0 0 0 1 0 1
066308081 0 0 1 0 1 0 0 0 0
066344987 0 0 1 0 1 0 0 0 0
066667056 0 1 1 1 1 1 1 0 1
066751082 0 0 1 0 0 0 0 0 1
067033191 0 1 1 0 1 0 1 1 0
067086777 0 1 1 0 1 0 1 0 1
067098046 0 0 1 0 1 0 1 1 1
067140780 0 1 1 0 1 0 1 0 0
067361527 0 1 1 0 1 0 1 0 1
067926311 0 1 1 0 1 0 1 1 1
068144435 0 1 1 0 1 0 0 0 0
068523018 0 1 1 0 0 0 1 0 0
068711225 0 1 1 0 1 0 1 1 1
068938760 0 0 1 0 0 0 1 1 0
069025484 0 1 1 0 1 0 0 1 1
069086494 1 1 1 0 1 1 1 1 1
069292449 0 0 1 0 1 0 1 0 0
069342657 0 1 1 0 1 0 0 0 0
069522597 0 1 1 0 1 0 0 0 0
069544708 0 1 1 0 1 0 1 1 0
069568301 0 0 1 0 0 0 0 0 1
069602886 0 0 1 0 0 0 1 1 0
069899284 0 0 1 0 1 0 0 0 1
069970432 0 1 1 0 1 0 0 0 1
070109152 1 1 1 0 1 0 0 0 1
070771845 0 0 1 0 1 0 0 1 0
070870241 0 0 1 0 1 0 0 1 1
070987029 0 1 1 0 1 0 1 1 1
071140990 0 0 1 0 1 0 1 1 0
071206007 0 0 1 0 1 0 1 1 0
071550727 0 1 1 0 1 0 0 0 1
071574644 0 1 1 0 1 0 0 1 1
071810824 0 0 1 0 0 0 0 0 0
072152051 0 0 1 1 0 0 1 0 0
072241193 0 0 1 0 1 0 1 1 1
072429731 0 1 1 0 0 0 0 0 0
072568520 0 0 1 0 1 0 0 0 0
072818891 0 0 1 1 0 0 1 0 1
072853724 0 0 1 0 0 0 0 0 0
072977192 0 1 1 0 1 0 0 1 0
073080442 0 0 1 0 0 0 1 0 0

3.A CATALOG CROSS-SELLING7

CatalogCrossSell.csv is the dataset for this case study. BACKGROUND Exeter, Inc. is a catalog firm that sells products in a number of different catalogs that it owns. The catalogs number in the dozens, but fall into nine basic categories: 1. Clothing 2. Housewares 3. Health 4. Automotive 5. Personal electronics 6. Computers 7. Garden 8. Novelty gift 9. Jewelry The costs of printing and distributing catalogs are high. By far the biggest cost of operatiis the cost of promoting products to people who buy nothing. Having invested so much inthe production of artwork and printing of catalogs, Exeter wants to take every opportunitto use them effectively. One such opportunity is in cross-selling—once a customer has “taken the bait” and purchases one product, try to sell them another while you have theiattention. Such cross-promotion might take the form of enclosing a catalog in the shipment of a purchased product, together with a discount coupon to induce a purchase from that cataOr, it might take the form of a similar coupon sent by e-mail, with a link to the web versio of that catalog. But which catalog should be enclosed in the box or included as a link in the e-mail with the discount coupon? Exeter would like it to be an informed choice—a catalog that has a high probability of inducing a purchase than simply choosing a catalog at random.

ASSIGNMENT

Using the dataset CatalogCrossSell.csv, perform an association rules analysis, and common the results. Your discussion should provide interpretations in English of the meanings othe various output statistics (lift ratio, confidence, support) and include a very rough estimate (precise calculations are not necessary) of the extent to which this will help Exemake an informed choice about which catalog to cross-promote to a purchaser.

ACKNOWLEDGMENT

The data for this case have been adapted from the data in a set of cases provided for educational purposes by the Direct Marketing Education Foundation (“DMEF Academic DaSet Two, Multi Division Catalog Company, Code: 02DMEF”); used with permission.

Answer:

The association rule has two parts. The first part is the confidence level which shows us the rate at which a secoevent will occur if the first event has already happened. You take the probability of both events occurring and the dividing that by the probability of the first event happening. When the confidence is higher, then that means the higher the probability of the second event occurring. The higher the number, the better. The second step of this is the lift ratio. This ratio gives us the relationship between the two events. The lift ratio takes the confidence let hat you found in part one and then dividing it by the probability of the second event occurring. When the lift rais below one, it means there is decrease in the probability of the second event occurring once the first event has occurred.

· The first two rows have a lift ratio of 2.33 meaning there is a very strong association between the different sof purchases. For example, in the first row, the lift ratio of 2.33 means that the person buying “Garden” is 2.times more likely to buy “Automotive”. This implies that Exeter should promote “Automotive” catalog to a person who buys “Garden”.

· On the other hand, the confidence means that, if “novelty Gift” is bought there is a 74.32% chance that “Personal Electronics” would be bought.

· As per the table above, Support of 16.91% means, out of all the purchases in the dataset, about 16.91% of people who bought “novelty Gift” also purchased “Personal Electronics”.

· In the Rules description table, rules are ordered in the descending order of the lift. So, Rule 1 has the higlift. Notice that the Garden Automotive has the highest lift, so it is the Rule 1 in the table.

· The Rule Matrix plots the Rules based on the items on the left side of the rule and the items on the right of the rule. The points are colored based on the confidence level of the rules. Notice that last column haspoints with red color, indicating the rules with highest confidence levels.

· Based on our analysis we would recommend Exeter to send the catalogues to customers with the lift abo1.5 and confidence level above 50% and support above 5%. For Exeter, this would translate to more than150% increase in cross selling opportunities.