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透過 k-means 最佳化: 實際範例

下列範例說明實際案例,其中 KMeans 叢集和 Centroid 函數套用至資料集。KMeans 函數將資料點區分為共用相似性的叢集。透過可設定的反覆項目數量套用 KMeans 演算法時,叢集變得更加精簡且不同。

Kmeans 在各種使用案例中用於許多欄位;一些叢集使用案例的範例包括客戶分段、詐騙偵測、預測帳戶消耗、設定用戶端獎勵目標、網路犯罪識別以及傳遞路徑最佳化。KMeans 叢集演算法的使用逐漸增加,企業嘗試藉此推斷模式和最佳化服務提供。

Qlik Sense KMeans 和 Centroid 函數

Qlik Sense 提供兩個根據相似性將資料點組成叢集的 KMeans 函數。請參閱 KMeans2D - 圖表函數KMeansND- 圖表函數KMeans2D 函數接受兩個維度,透過散佈圖圖表視覺化結果時,也運作良好。KMeansND 函數接受超過兩個維度。由於在標準圖表概念化 2D 結果很容易,下列示範使用兩個維度在散佈圖圖表套用 KMeans。可以透過運算式來著色,以視覺化 KMeans 叢集;或者按照此範例的說明透過維度來進行。

Qlik Sense centroid 函數決定叢集中所有資料點的算數平均值位置,並識別該叢集的中央點或 centroid。對於每個圖表列 (或記錄),centroid 函數會顯示此資料點已指派到的叢集座標。請參閱 KMeansCentroid2D - 圖表函數KMeansCentroidND- 圖表函數

使用案例和範例概述

下列範例透過模擬實際情境來分段說明。美國紐約州的一間紡織公司必須盡量降低運費以減少支出。一個方式是重新設置更靠近經銷商的倉庫。該公司在紐約州各地採用 118 個經銷商。下列示範模擬營運經理可以如何使用 KMeans 函數,將經銷商分為五個叢集的地理區域,然後使用 centroid 函數,識別位於這些叢集中央的五個最佳倉庫位置。目標是探索可用來識別五個中央倉庫位置的對應座標。

資料集

資料集根據隨機產生的名稱和紐約州地址,並具有真實的緯度和經度座標。資料集包含以下十欄:id、first_name、last_name、telephone、address、city、state、zip、latitude、longitude。資料集可在下面作為檔案使用,您可以在本機下載,然後上傳至 Qlik Sense 或在資料載入編輯器進行內嵌。建立的應用程式命名為 Distributors KMeans and Centroid (經銷商 KMeans 和 Centroid),而應用程式中的第一個工作表命名為 Distribution cluster analysis (經銷叢集分析)。

選取下列連結以下載樣本資料檔案:DistributorData.csv

Distributor 資料集:Qlik Sense 中資料載入編輯器的內嵌載入

標題:DistributorData

記錄總數: 118

套用 KMeans2D 函數

在此範例中,使用 DistributorData資料集示範散佈圖圖表的設定、套用 KMeans2D 函數,並且依照維度為圖表著色。

請注意,Qlik Sense KMeans 函數使用稱為深度差 (DeD) 的方法支援自動叢集。若使用者對叢集數量設定 0,會判定該資料集的最佳叢集數量。不過,對於此範例,會為 num_clusters 引數建立一個變數 (參閱 KMeans2D - 圖表函數 瞭解語法)。因此,會依照變數指定所需叢集數量 (k=5)。

  1. 散佈圖圖表拖放到工作表並命名為 Distributors (by dimension) (經銷商 (依維度))。
  2. 建立變數以指定叢集的數量。該變數命名為 vDistClusters。對於變數定義,輸入 5
  3. 圖表的資料設定:
    1. 維度之下,在泡泡球選取 id 欄位。在標籤輸入Cluster id
    2. 量值之下,Avg([latitude])X 軸的運算式。
    3. 量值之下,Avg([longitude])Y 軸的運算式。
  4. 外觀設定:
    1. 色彩和圖例之下,為色彩選擇自訂
    2. 選取依維度以著色圖表。
    3. 輸入下列運算式: =pick(aggr(KMeans2D(vDistClusters,only(latitude),only(longitude)),id)+1, 'Cluster 1', 'Cluster 2', 'Cluster 3', 'Cluster 4', 'Cluster 5')
    4. 選取持續性色彩的核取方塊。
依維度著色的 KMeans 之前的散佈圖已套用Scatter plot before applying KMeans color by dimension
依維度著色的 KMeans 之後的散佈圖已套用Scatter plot after applying KMeans color by dimension

新增表格: 經銷商

手邊有個表格以便快速存取相關資料,會很有幫助。散佈圖圖表透過表格顯示 ids,並新增對應經銷商名稱以供參考。

  1. 將命令為經銷商表格拖放至工作表,其中新增了以下的(維度):idfirst_namelast_name

表格:經銷商名稱

A reference table can be added

新增長條圖# observations per cluster

對於倉庫分佈情境,瞭解每個倉庫將會服務多少經銷商很有幫助。因此,會建立長條圖,衡量向每個叢集指派多少經銷商。

  1. 長條圖拖放到工作表。圖表命名為:# observations per cluster
  2. 長條圖資料設定:
    1. 新增標籤為 Clusters維度 (可在套用運算式之後新增標籤)。輸入下列運算式: =pick(aggr(KMeans2D(vDistClusters,only(latitude),only(longitude)),id)+1, 'Cluster 1', 'Cluster 2', 'Cluster 3', 'Cluster 4', 'Cluster 5')
    2. 新增標籤為 # of observations量值。輸入下列運算式: =count(aggr(KMeans2D(vDistClusters,only(latitude),only(longitude)),id))
  3. 外觀設定:
    1. 色彩和圖例之下,為色彩選擇自訂
    2. 選取依維度以著色圖表。

    3. 輸入下列運算式:  =pick(aggr(KMeans2D(vDistClusters,only(latitude),only(longitude)),id)+1, 'Cluster 1', 'Cluster 2', 'Cluster 3', 'Cluster 4', 'Cluster 5')
    4. 選取持續性色彩的核取方塊。
    5. 顯示圖例已關閉。
    6. 呈現方式之下,值標籤切換為自動
    7. X 軸之下:選取叢集僅標籤
長條圖: # observations per cluster

The bar chart shows number of distributors assigned to each cluster

套用 Centroid2D 函數

已為 Centroid2D 函數新增第二個表格,這將識別潛在倉庫位置的座標。此表格顯示五個已識別經銷商群組的的中心位置 (centroid 值)。

  1. 表格拖放到工作表並命名為 Cluster centroids (叢集 centroids),並新增以下的欄:
    1. 新增標籤為叢集維度。輸入下列運算式:=pick(aggr(KMeans2D(vDistClusters,only(latitude),only(longitude)),id)+1,'Warehouse 1','Warehouse 2','Warehouse 3','Warehouse 4','Warehouse 5')
    2. 新增標籤為 latitude (D1)量值。輸入下列運算式: =only(aggr(KMeansCentroid2D(vDistClusters,0,only(latitude),only(longitude)),id))
      請注意,參數 coordinate_no 對應至第一個維度(0)。在此情況下,會根據 X 軸繪製維度 latitude (緯度)。若我們處理 CentroidND 函數且最多有六個維度,這些參數項目可能是六個值中的任一項:0、1、2、3、4 或 5。
    3. 新增標籤為 longitude (D2)量值。輸入下列運算式: =only(aggr(KMeansCentroid2D(vDistClusters,1,only(latitude),only(longitude)),id))
      運算式中的參數 coordinate_no 對應至第二個維度(1)。在此情況下,會根據 Y 軸繪製維度 longitude (經度)。

表格:叢集 centroid 計算

Centroid function table

Centroid 對應

下一步是對應 centroids。由應用程式開發人員決定是否偏好在獨立的工作表置放視覺化。

  1. 將命名為 Centroid mapping對應拖放到工作表。
  2. 圖層區段中。選取新增圖層,然後選取點圖層
    1. 選取欄位 id 並新增 Dist ids 標籤

    2. 位置 區段中,選取緯度和經度欄位的核取方塊。

    3. 對於緯度,選取 latitude 欄位。

    4. 對於經度,選取 longitude 欄位。

    5. 大小 & 形狀 區段中,為形狀選取泡泡,並在滑桿依照偏好減少大小

    6. 色彩區段,單一色彩並為色彩選取藍色,為輪廓色彩選取灰色 (這些選項也依照偏好選取)。

  3. 圖層區段,選取新增圖層,然後選取點圖層,以新增第二個點圖層
    1. 輸入下列運算式: =aggr(KMeans2D(vDistClusters,only(latitude),only(longitude)),id)

    2. 新增 標籤 Clusters

    3. 位置 區段中,選取緯度和經度欄位的核取方塊。

    4. 對於在此情況下沿著 X 軸繪製的緯度,新增下列運算式:=aggr(KMeansCentroid2D(vDistClusters,0,only(latitude),only(longitude)),id)

    5. 對於在此情況下沿著 Y 軸繪製的經度,新增下列運算式: =aggr(KMeansCentroid2D(vDistClusters,1,only(latitude),only(longitude)),id)

    6. 大小 & 形狀 區段中,為形狀選取三角形,並在滑桿依照偏好減少大小

    7. 色彩和圖例之下,為色彩選取自訂

    8. 選取依維度以著色圖表。輸入下列運算式: =pick(aggr(KMeans2D(vDistClusters,only(latitude),only(longitude)),id)+1,'Cluster 1','Cluster 2','Cluster 3','Cluster 4','Cluster 5')

    9. 維度標籤為 Clusters

  4. 地圖設定中,為投影選取調適型。為測量單位選取公制
地圖:依叢集對應的 Centroids

Centroids display on map chart

結論

對此實際情境使用 KMeans 函數時,經銷商已根據相似性分為類似群組或叢集,在此情況下,亦即彼此的鄰近性。Centroid 函數已套用至這些叢集,以識別五個對應座標。這些座標提供建立或定位倉庫的初始中心位置。centroid 函數已套用至地圖圖表,因此應用程式使用者可以看見 centroids 相對於周遭叢集資料點的位置。產生的座標代表可讓紐約州的經銷商盡量降低運費成本的潛在倉庫位置。

應用程式: KMeans 和 centroid 分析範例

Kmeans centroid app example Distributors

 

 

Distributor 資料集:Qlik Sense 中資料載入編輯器的內嵌載入

DistributorData: Load * Inline [ id,first_name,last_name,telephone,address,city,state,zip,latitude,longitude 1,Kaiya,Snow,(716) 201-1212,6231 Tonawanda Creek Rd #APT 308,Lockport,NY,14094,43.08926,-78.69313 2,Dean,Roy,(716) 201-1588,6884 E High St,Lockport,NY,14094,43.16245,-78.65036 3,Eden,Paul,(716) 202-4596,4647 Southwestern Blvd #APT 350,Hamburg,NY,14075,42.76003,-78.83194 4,Bryanna,Higgins,(716) 203-7041,418 Park Ave,Dunkirk,NY,14048,42.48279,-79.33088 5,Elisabeth,Lee,(716) 203-7043,36 E Courtney St,Dunkirk,NY,14048,42.48299,-79.31928 6,Skylar,Robinson,(716) 203-7166,26 Greco Ln,Dunkirk,NY,14048,42.4612095,-79.3317925 7,Cody,Bailey,(716) 203-7201,114 Lincoln Ave,Dunkirk,NY,14048,42.4801269,-79.322232 8,Dario,Sims,(408) 927-1606,N Castle Dr,Armonk,NY,10504,41.11979,-73.714864 9,Deacon,Hood,(410) 244-6221,4856 44th St,Woodside,NY,11377,40.748372,-73.905445 10,Zackery,Levy,(410) 363-8874,61 Executive Blvd,Farmingdale,NY,11735,40.7197457,-73.430239 11,Rey,Hawkins,(412) 344-8687,4585 Shimerville Rd,Clarence,NY,14031,42.972075,-78.6592452 12,Phillip,Howard,(413) 269-4049,464 Main St #101,Port Washington,NY,11050,40.8273756,-73.7009971 13,Shirley,Tyler,(434) 985-8943,114 Glann Rd,Apalachin,NY,13732,42.0482515,-76.1229725 14,Aniyah,Jarvis,(440) 244-1808,87 N Middletown Rd,Pearl River,NY,10965,41.0629,-74.0159 15,Alayna,Woodard,(478) 335-3704,70 W Red Oak Ln,West Harrison,NY,10604,41.0162722,-73.7234926 16,Jermaine,Lambert,(508) 561-9836,24 Kellogg Rd,New Hartford,NY,13413,43.0555739,-75.2793197 17,Harper,Gibbs,(239) 466-0238,Po Box 33,Cottekill,NY,12419,41.853392,-74.106082 18,Osvaldo,Graham,(252) 246-0816,6878 Sand Hill Rd,East Syracuse,NY,13057,43.073215,-76.081448 19,Roberto,Wade,(270) 469-1211,3936 Holley Rd,Moravia,NY,13118,42.713044,-76.481227 20,Kate,Mcguire,(270) 788-3080,6451 State 64 Rte #3,Naples,NY,14512,42.707366,-77.380489 21,Dale,Andersen,(281) 480-5690,205 W Service Rd,Champlain,NY,12919,44.9645392,-73.4470831 22,Lorelai,Burch,(302) 644-2133,1 Brewster St,Glen Cove,NY,11542,40.865177,-73.633019 23,Amiyah,Flowers,(303) 223-0055,46600 Us Interstate 81 Rte,Alexandria Bay,NY,13607,44.309626,-75.988365 24,Mckinley,Clements,(303) 918-3230,200 Summit Lake Dr,Valhalla,NY,10595,41.101145,-73.778298 25,Marc,Gibson,(607) 203-1233,25 Robinson St,Binghamton,NY,13901,42.107416,-75.901614 26,Kali,Norman,(607) 203-1400,1 Ely Park Blvd #APT 15,Binghamton,NY,13905,42.125866,-75.925026 27,Laci,Cain,(607) 203-1437,16 Zimmer Road,Kirkwood,NY,13795,42.066516,-75.792627 28,Mohammad,Perez,(607) 203-1652,71 Endicott Ave #APT 12,Johnson City,NY,13790,42.111894,-75.952187 29,Izabelle,Pham,(607) 204-0392,434 State 369 Rte,Port Crane,NY,13833,42.185838,-75.823074 30,Kiley,Mays,(607) 204-0870,244 Ballyhack Rd #14,Port Crane,NY,13833,42.175612,-75.814917 31,Peter,Trevino,(607) 205-1374,125 Melbourne St.,Vestal,NY,13850,42.080254,-76.051124 32,Ani,Francis,(607) 208-4067,48 Caswell St,Afton,NY,13730,42.232065,-75.525674 33,Jared,Sheppard,(716) 386-3002,4709 430th Rte,Bemus Point,NY,14712,42.162175,-79.39176 34,Dulce,Atkinson,(914) 576-2266,501 Pelham Rd,New Rochelle,NY,10805,40.895449,-73.782602 35,Jayla,Beasley,(716) 526-1054,5010 474th Rte,Ashville,NY,14710,42.096859,-79.375561 36,Dane,Donovan,(718) 545-3732,5014 31st Ave,Woodside,NY,11377,40.756967,-73.909506 37,Brendon,Clay,(585) 322-7780,133 Cummings Ave,Gainesville,NY,14066,42.664309,-78.085651 38,Asia,Nunez,(718) 426-1472,2407 Gilmore ,East Elmhurst,NY,11369,40.766662,-73.869185 39,Dawson,Odonnell,(718) 342-2179,5019 H Ave,Brooklyn,NY,11234,40.633245,-73.927591 40,Kyle,Collins,(315) 733-7078,502 Rockhaven Rd,Utica,NY,13502,43.129184,-75.226726 41,Eliza,Hardin,(315) 331-8072,502 Sladen Place,West Point,NY,10996,41.3993,-73.973003 42,Kasen,Klein,(518) 298-4581,2407 Lake Shore Rd,Chazy,NY,12921,44.925561,-73.387373 43,Reuben,Bradford,(518) 298-4581,33 Lake Flats Dr,Champlain,NY,12919,44.928092,-73.387884 44,Henry,Grimes,(518) 523-3990,2407 Main St,Lake Placid,NY,12946,44.291487,-73.98474 45,Kyan,Livingston,(518) 585-7364,241 Alexandria Ave,Ticonderoga,NY,12883,43.836553,-73.43155 46,Kaitlyn,Short,(516) 678-3189,241 Chance Dr,Oceanside,NY,11572,40.638534,-73.63079 47,Damaris,Jacobs,(914) 664-5331,241 Claremont Ave,Mount Vernon,NY,10552,40.919852,-73.827848 48,Alivia,Schroeder,(315) 469-4473,241 Lafayette Rd,Syracuse,NY,13205,42.996446,-76.12957 49,Bridget,Strong,(315) 298-4355,241 Maltby Rd,Pulaski,NY,13142,43.584966,-76.136317 50,Francis,Lee,(585) 201-7021,166 Ross St,Batavia,NY,14020,43.0031502,-78.17487 51,Makaila,Phelps,(585) 201-7422,58 S Main St,Batavia,NY,14020,42.99941,-78.1939285 52,Jazlynn,Stephens,(585) 203-1087,1 Sinclair Dr,Pittsford,NY,14534,43.084157,-77.545452 53,Ryann,Randolph,(585) 203-1519,331 Eaglehead Rd,East Rochester,NY,14445,43.10785,-77.475552 54,Rosa,Baker,(585) 204-4011,42 Ossian St,Dansville,NY,14437,42.560761,-77.70088 55,Marcel,Barry,(585) 204-4013,42 Jefferson St,Dansville,NY,14437,42.557735,-77.702983 56,Dennis,Schmitt,(585) 204-4061,750 Dansville Mount Morris Rd,Dansville,NY,14437,42.584458,-77.741648 57,Cassandra,Kim,(585) 204-4138,3 Perine Ave APT1,Dansville,NY,14437,42.562865,-77.69661 58,Kolton,Jacobson,(585) 206-5047,4925 Upper Holly Rd,Holley,NY,14470,43.175957,-78.074465 59,Nathanael,Donovan,(718) 393-3501,9604 57th Ave,Corona,NY,11373,40.736077,-73.864858 60,Robert,Frazier,(718) 271-3067,300 56th Ave,Corona,NY,11373,40.735304,-73.873997 61,Jessie,Mora,(315) 405-8991,9607 Forsyth Loop,Watertown,NY,13603,44.036466,-75.833437 62,Martha,Rollins,(347) 242-2642,22 Main St,Corona,NY,11373,40.757727,-73.829331 63,Emely,Townsend,(718) 699-0751,60 Sanford Ave,Corona,NY,11373,40.755466,-73.831029 64,Kylie,Cooley,(347) 561-7149,9608 95th Ave,Ozone Park,NY,11416,40.687564,-73.845715 65,Wendy,Cameron,(585) 571-4185,9608 Union St,Scottsville,NY,14546,43.013327,-77.7907839 66,Kayley,Peterson,(718) 654-5027,961 E 230th St,Bronx,NY,10466,40.889275,-73.850555 67,Camden,Ochoa,(718) 760-8699,59 Vark St,Yonkers,NY,10701,40.929322,-73.89957 68,Priscilla,Castillo,(910) 326-7233,9359 Elm St,Chadwicks,NY,13319,43.024902,-75.26886 69,Dana,Schultz,(913) 322-4580,99 Washington Ave,Hastings on Hudson,NY,10706,40.99265,-73.879748 70,Blaze,Medina,(914) 207-0015,60 Elliott Ave,Yonkers,NY,10705,40.921498,-73.896682 71,Finnegan,Tucker,(914) 207-0015,90 Hillside Drive,Yonkers,NY,10705,40.922514,-73.892911 72,Pranav,Palmer,(914) 214-8376,5 Bruce Ave,Harrison,NY,10528,40.970916,-73.711493 73,Kolten,Wong,(914) 218-8268,70 Barker St,Mount Kisco,NY,10549,41.211993,-73.723202 74,Jasiah,Vazquez,(914) 231-5199,30 Broadway,Dobbs Ferry,NY,10522,41.004629,-73.879825 75,Lamar,Pierce,(914) 232-0380,68 Ridge Rd,Katonah,NY,10536,41.256662,-73.707964 76,Carla,Coffey,(914) 232-0469,197 Beaver Dam Rd,Katonah,NY,10536,41.247934,-73.664363 77,Brooklynn,Harmon,(716) 595-3227,8084 Glasgow Rd,Cassadega,NY,14718,42.353861,-79.329558 78,Raquel,Hodges,(585) 398-8125,809 County Road ,Victor,NY,14564,43.011745,-77.398806 79,Jerimiah,Gardner,(585) 787-9127,809 Houston Rd,Webster,NY,14580,43.224204,-77.491353 80,Clarence,Hammond,(720) 746-1619,809 Pierpont Ave,Piermont,NY,10968,41.0491181,-73.918622 81,Rhys,Gill,(518) 427-7887,81 Columbia St,Albany,NY,12210,42.652824,-73.752096 82,Edith,Parrish,(845) 452-7621,81 Glenwood Ave,Poughkeepsie,NY,12603,41.691058,-73.910829 83,Kobe,Mcintosh,(845) 371-1101,81 Heitman Dr,Spring Valley,NY,10977,41.103227,-74.054396 84,Ayden,Waters,(516) 796-2722,81 Kingfisher Rd,Levittown,NY,11756,40.738939,-73.52826 85,Francis,Rogers,(631) 427-7728,81 Knollwood Ave,Huntington,NY,11743,40.864905,-73.426107 86,Jaden,Landry,(716) 496-4038,12839 39th Rte,Chaffee,NY,14030,43.527396,-73.462786 87,Giancarlo,Campos,(518) 885-5717,1284 Saratoga Rd,Ballston Spa,NY,12020,42.968594,-73.862847 88,Eduardo,Contreras,(716) 285-8987,1285 Saunders Sett Rd,Niagara Falls,NY,14305,43.122963,-79.029274 89,Gabriela,Davidson,(716) 267-3195,1286 Mee Rd,Falconer,NY,14733,42.147339,-79.137976 90,Evangeline,Case,(518) 272-9435,1287 2nd Ave,Watervliet,NY,12189,42.723132,-73.703818 91,Tyrone,Ellison,(518) 843-4691,1287 Midline Rd,Amsterdam,NY,12010,42.9730876,-74.1700608 92,Bryce,Bass,(518) 943-9549,1288 Leeds Athens Rd,Athens,NY,12015,42.259381,-73.876897 93,Londyn,Butler,(518) 922-7095,129 Argersinger Rd,Fultonville,NY,12072,42.910969,-74.441917 94,Graham,Becker,(607) 655-1318,129 Baker Rd,Windsor,NY,13865,42.107271,-75.66408 95,Rolando,Fitzgerald,(315) 465-4166,17164 County 90 Rte,Mannsville,NY,13661,43.713443,-76.06232 96,Grant,Hoover,(518) 692-8363,1718 County 113 Rte,Schaghticote,NY,12154,42.900648,-73.585036 97,Mark,Goodwin,(631) 584-6761,172 Cambon Ave,Saint James,NY,11780,40.871152,-73.146032 98,Deacon,Cantu,(845) 221-7940,172 Carpenter Rd,Hopewell Junction,NY,12533,41.57388,-73.77609 99,Tristian,Walsh,(516) 997-4750,172 E Cabot Ln,Westbury,NY,11590,40.7480397,-73.54819 100,Abram,Alexander,(631) 588-3817,172 Lorenzo Cir,Ronkonkoma,NY,11779,40.837123,-73.09367 101,Lesly,Bush,(516) 489-3791,172 Nassau Blvd,Garden City,NY,11530,40.71147,-73.660753 102,Pamela,Espinoza,(716) 201-1520,172 Niagara St ,Lockport,NY,14094,43.169871,-78.70093 103,Bryanna,Newton,(914) 328-4332,172 Warren Ave,White Plains,NY,10603,41.047207,-73.79572 104,Marcelo,Schmitt,(315) 393-4432,319 Mansion Ave,Ogdensburg,NY,13669,44.690246,-75.49992 105,Layton,Valenzuela,(631) 676-2113,319 Singingwood Dr,Holbrook,NY,11741,40.801391,-73.058993 106,Roderick,Rocha,(518) 671-6037,319 Warren St,Hudson,NY,12534,42.252527,-73.790629 107,Camryn,Terrell,(315) 635-1680,3192 Olive Dr,Baldinsville,NY,13027,43.136843,-76.260303 108,Summer,Callahan,(585) 394-4195,3192 Smith Road,Canandaigua,NY,14424,42.875457,-77.228039 109,Pierre,Novak,(716) 665-2524,3194 Falconer Kimball Stand Rd,Falconer,NY,14733,42.138439,-79.211091 110,Kennedi,Fry,(315) 543-2301,32 College Rd,Selden,NY,11784,40.861624,-73.04757 111,Wyatt,Pruitt,(716) 681-4042,277 Ransom Rd,Lancaster ,NY,14086,42.87702,-78.591302 112,Lilly,Jensen,(631) 841-0859,2772 Schliegel Blvd,Amityville,NY,11701,40.708021,-73.413015 113,Tristin,Hardin,(631) 920-0927,278 Fulton Street,West Babylon,NY,11704,40.733578,-73.357321 114,Tanya,Stafford,(716) 484-0771,278 Sampson St,Jamestown,NY,14701,42.0797,-79.247805 115,Paris,Cordova,(607) 589-4857,278 Washburn Rd,Spencer,NY,14883,42.225046,-76.510257 116,Alfonso,Morse,(718) 359-5582,200 Colden St,Flushing,NY,11355,40.750403,-73.822752 117,Maurice,Hooper,(315) 595-6694,4435 Italy Hill Rd,Branchport,NY,14418,42.597957,-77.199267 118,Iris,Wolf,(607) 539-7288,444 Harford Rd,Brooktondale,NY,14817,42.392164,-76.30756 ];