Food Emojis - Multidimensional Scaling
Juan Salamanca
6/03/2021
Proximidad entre el valor nutricional de los alimentos de la colección de emojis
En este ejercicio recreamos el caso de multidimensionamiento escalar disponible en este sitio web: https://grace.rbind.io/post/2019-02-22-emoji-mds/
Dataset disponible en Kaggle (https://www.kaggle.com/ofrancisco/emoji-diet-nutritional-data-sr28/data)
Procedimiento Calculo de Multidimensionamiento escalar MDS
El multidimensionamiento escalar se hace unicamente con valores numéricos. Para esto se calcula una matriz de distancias sobre todas las dimensiones numericas normalizadas.
# normalizar datos
EmojisFoodN <- EmojisFood
EmojisFoodN[,c(3:35)] <- scale(EmojisFoodN[,c(3:35)])
rownames(EmojisFoodN) <- EmojisFood$name
# Calculo las distancias entre datos
distancias <- dist(EmojisFoodN, upper=TRUE)
# Multidimensionamiento escalar. k=2 significa distancias proyectadas en un espacio 2D
emoji_mds <- cmdscale(d = distancias, k = 2)El calculo de MDS retorna un tibble, que es un formato de tabla de datos especial de R. Para saber mas de tibbles: https://blog.rstudio.com/2016/03/24/tibble-1-0-0/. Para trabajar en ggplot es mas conveninte convertir la tibble a dataframe. Los datos que obtenemos estan en dos dimensiones, lo que resta es plotearlos en un layout de diagrama de dispersión usando una geometria de puntos. Adicionalmente incluimos unas curvas de densidad para denotar zonas de similitud entre datapoints.
Para hacer el diagrama mas llamativo uncluimos los emojis usando la libreria emojifont. Esta librería hace uso de una fuente de tipografía de emojis que es necesario tenerla instalada en la máquina. Para mas información ver https://cran.r-project.org/web/packages/emojifont/vignettes/emojifont.html
Una opcion alternativa es usar la librería ggimage y utilizar la geometria de ggplot geom_emoji. Sin embargo esta libreria no es muy confiable porque puede asociar incorrectamente los emojis a nombres de alimentos.
Qué hay en la matrix de distancias?
## grapes melon watermelon tangerine lemon banana
## grapes 2.3164797 2.5676992 2.6263583 3.4315877 3.4413855
## melon 2.3164797 1.2854091 1.1741121 1.8568291 2.5941627
## watermelon 2.5676992 1.2854091 1.3502008 2.3039713 3.3413952
## tangerine 2.6263583 1.1741121 1.3502008 1.4884219 2.7559214
## lemon 3.4315877 1.8568291 2.3039713 1.4884219 3.4597636
## banana 3.4413855 2.5941627 3.3413952 2.7559214 3.4597636
## pineapple 3.3197643 2.1777967 2.4805808 1.9465213 1.9630592 3.3985166
## red apple 2.4020625 1.6573239 1.2094005 1.4790635 2.4531179 3.2154488
## green apple 2.2564659 1.7507411 1.4836521 1.5889905 2.4131029 3.2222103
## pear 2.1435289 1.7993214 1.6793254 1.6006170 2.3266995 3.2392331
## peach 2.1457841 1.3934566 1.1724719 1.2962587 2.3092345 3.0161768
## cherries 2.1225244 1.4147381 1.4011165 1.1692932 2.2450257 2.6012776
## strawberry 3.3367422 1.9953324 2.4693487 1.6937628 1.0353676 3.6144126
## kiwifruit 5.6881274 6.6715032 7.3364908 6.7874534 6.4814833 7.2938880
## tomato 1.8408328 1.3140841 1.7428151 1.7022061 2.3944607 2.9673459
## avocado 6.3775468 6.8064704 7.2702794 6.6825607 6.8918044 5.7862135
## eggplant 2.4380688 1.7046189 1.8794190 1.6254356 2.4084400 2.5022322
## potato 7.3582611 7.1247103 7.2939560 6.8885759 7.2914451 6.4076975
## carrot 5.5746509 5.7747244 5.8731532 5.6577957 6.1382723 5.8806860
## corn 3.5481458 2.8380555 2.8642479 2.4618368 3.2359182 2.6431339
## hot pepper 6.7203069 6.0836956 7.1062043 6.2708502 5.5625723 6.1904496
## cucumber 1.6070000 2.4476263 2.4779806 2.8683504 3.4462826 4.0172906
## mushroom 6.2876675 6.1596124 6.1424273 6.0346608 6.5251406 5.7857421
## peanuts 19.7989984 19.8937622 20.1333165 19.6324639 19.8306092 18.7988283
## chestnut 5.1777022 4.6379843 5.2593100 4.7528695 5.0255117 3.7116776
## bread 7.9978241 8.1819874 8.2408144 7.8783998 8.1337561 7.6524722
## croissant 7.5396966 7.6711537 7.6138882 7.2713632 7.6946286 7.3621052
## french bread 9.3915581 9.5768972 9.5993458 9.3050848 9.5856248 9.2091926
## pancakes 5.9240263 5.8354087 5.7134584 5.6552907 6.0895858 6.0854944
## cheese 14.5101794 14.4640628 14.4217462 14.3073609 14.5553673 14.5775190
## beef 11.5219032 11.1910157 11.5916033 11.4610628 11.6584227 10.6256223
## chicken 9.0779568 8.8023308 9.0039142 8.8813667 9.2472122 8.3767911
## bacon 13.0750274 12.9635065 12.8445379 12.9330495 13.1172715 13.3421028
## hamburger 6.1298131 5.9365032 5.9552483 5.9132591 6.2728430 6.0082866
## french fries 5.9351578 6.1038451 6.6773606 6.0826378 6.5199308 4.7180835
## pizza 6.9218291 7.1475020 7.2627636 6.9201983 7.2630957 7.0619289
## hotdog 7.1950832 7.0824035 6.9997033 7.0080707 7.3266437 7.2354191
## taco 5.2335991 5.6335992 5.8908954 5.6186119 5.9068620 5.7415569
## burrito 4.9149887 5.0443825 5.2216490 4.8159706 5.1963255 4.8517651
## popcorn 10.6052768 10.5701509 10.7453952 10.3412547 10.3572793 9.7564129
## rice crackers 12.5452147 12.5607224 12.6567837 12.4303034 12.8521993 11.3759664
## rice 3.8190719 3.2854951 2.8570323 3.0977154 3.6490843 4.1969359
## spaghetti 4.8872126 4.6764282 4.5288396 4.4490132 4.8510714 5.0913868
## fried shrimp 6.8603613 6.8129667 6.8224249 6.7215782 7.1120737 7.2239636
## ice cream 8.9725844 8.9545171 8.8819140 8.7944757 9.1970624 9.0761651
## doughnut 5.7426896 6.3436755 6.3516075 6.0177794 6.5485156 6.2732817
## cookie 6.2534508 6.4327688 6.3843765 6.2584382 6.7266253 6.3109587
## cake 7.8205597 7.7862720 7.8478428 7.5418674 8.0150189 7.6833601
## chocolate bar 6.7004138 7.3181515 7.2761629 6.9292116 7.6502126 6.8937939
## candy 5.8926419 6.3623501 6.0620589 5.9650024 6.7403353 6.5897312
## custard flan 4.5168671 4.4604518 4.1931480 4.2445823 4.9660835 4.9136352
## honey 6.1093119 6.6326277 6.3976075 6.2284853 7.0561433 6.7129731
## milk 3.3429249 2.6485232 2.3024074 2.6292646 3.3952164 3.8290724
## black tea 3.1267725 2.0844829 1.2321644 2.3227444 2.9592962 4.2300140
## sake 3.1227836 2.1781993 1.3321737 2.3509814 2.9993415 4.2543159
## champagne 2.8976924 1.7420457 0.9571065 2.0606232 2.7962645 3.7824703
## red wine 2.7091126 1.5177565 0.9528418 1.9257654 2.7363453 3.4850247
## beer 3.0252785 1.8895982 1.1248960 2.1265497 2.8830659 3.9811619
## pineapple red apple green apple pear peach
## grapes 3.3197643 2.4020625 2.2564659 2.1435289 2.1457841
## melon 2.1777967 1.6573239 1.7507411 1.7993214 1.3934566
## watermelon 2.4805808 1.2094005 1.4836521 1.6793254 1.1724719
## tangerine 1.9465213 1.4790635 1.5889905 1.6006170 1.2962587
## lemon 1.9630592 2.4531179 2.4131029 2.3266995 2.3092345
## banana 3.3985166 3.2154488 3.2222103 3.2392331 3.0161768
## pineapple 2.7603667 2.8250550 2.7283619 2.5997774
## red apple 2.7603667 0.5238530 0.8596627 1.1519080
## green apple 2.8250550 0.5238530 0.4836933 1.1690366
## pear 2.7283619 0.8596627 0.4836933 1.2722533
## peach 2.5997774 1.1519080 1.1690366 1.2722533
## cherries 2.5582685 1.0791138 1.0778967 1.1427214 0.9243478
## strawberry 1.4735652 2.7129096 2.6885351 2.5641087 2.3952853
## kiwifruit 6.6720496 7.2980182 7.0052080 6.7495675 6.7923597
## tomato 2.6589465 1.9394494 1.7957664 1.7896333 1.1909691
## avocado 7.0927832 7.1292204 6.8376180 6.6729789 6.5743016
## eggplant 2.6807609 1.6857360 1.4527335 1.4266510 1.2732203
## potato 7.2466899 7.4696171 7.3949013 7.3830877 7.0554896
## carrot 6.2638181 5.9294981 5.7758510 5.7643886 5.5914619
## corn 3.3121268 3.0207635 2.9986656 2.9920273 2.6600253
## hot pepper 5.6962979 7.3969224 7.3237908 7.1562692 6.9331303
## cucumber 3.5322590 2.6812795 2.4858583 2.4449830 2.3360032
## mushroom 6.4094921 6.4827936 6.4764583 6.4325109 5.9810721
## peanuts 19.4909566 20.1754432 20.0664055 19.8945577 19.5515780
## chestnut 4.6501812 5.5705982 5.6127597 5.4723713 5.0693663
## bread 7.8042458 8.2439168 8.1502229 8.0528075 7.9969214
## croissant 7.5256776 7.6040209 7.5847638 7.5360953 7.4488237
## french bread 9.2905138 9.6620459 9.6324539 9.5786404 9.4738881
## pancakes 6.0291442 5.8935738 5.9523350 5.9675118 5.7417206
## cheese 14.6340089 14.5085717 14.5374100 14.5229886 14.3901157
## beef 11.6414365 11.7783058 11.7869487 11.7836417 11.4742806
## chicken 9.2059922 9.2922867 9.2881394 9.2949665 8.8897420
## bacon 13.1296597 12.8360139 12.8796287 12.9003888 12.9027212
## hamburger 6.1662283 6.1734100 6.2044849 6.2008653 5.8817106
## french fries 6.5644848 6.5496385 6.4001158 6.3204153 6.0171171
## pizza 7.1526298 7.2344063 7.1656104 7.0879095 6.9692659
## hotdog 7.2613494 7.2271748 7.2515859 7.2548674 6.9721257
## taco 6.0666245 5.6855571 5.4886395 5.3542822 5.4234749
## burrito 5.2435778 5.1267087 4.9919003 4.8907856 4.8593907
## popcorn 10.4029158 10.4457160 10.3086282 10.1721726 10.4192657
## rice crackers 11.6819086 12.8528529 12.8703964 12.8189536 12.5410223
## rice 3.3545651 3.1722114 3.2724909 3.3179459 3.1382562
## spaghetti 4.6719564 4.5541084 4.5574615 4.5288947 4.5475815
## fried shrimp 7.1120132 6.7982730 6.8102840 6.7801406 6.5758717
## ice cream 9.1872048 8.8763018 8.9297378 8.9488100 8.8232087
## doughnut 6.3172584 6.1124272 6.1006757 5.9451476 6.1041507
## cookie 6.4045842 6.4228966 6.4796259 6.3887443 6.2650805
## cake 7.9014433 7.8519641 7.8682132 7.7580598 7.7103174
## chocolate bar 7.3482649 7.0893828 7.1599154 7.0786736 7.0369769
## candy 6.3623625 5.5908553 5.8378689 5.8539085 6.0885609
## custard flan 4.8745219 4.2534889 4.4063921 4.4791949 4.2555975
## honey 6.6064685 5.9280918 6.1706995 6.1835769 6.3584228
## milk 3.5752792 2.7022265 2.8443058 2.9906976 2.5424901
## black tea 2.9955170 1.7130339 1.9421834 2.1713375 1.9547995
## sake 3.1991613 1.6758323 1.9328829 2.1621398 2.0305714
## champagne 2.9095272 1.5086923 1.7756700 2.0329582 1.7153954
## red wine 2.8632794 1.5262889 1.7558776 1.9930963 1.5108649
## beer 3.0433685 1.6213990 1.8832077 2.1056090 1.8681055
## cherries strawberry kiwifruit tomato avocado eggplant
## grapes 2.1225244 3.3367422 5.6881274 1.8408328 6.3775468 2.4380688
## melon 1.4147381 1.9953324 6.6715032 1.3140841 6.8064704 1.7046189
## watermelon 1.4011165 2.4693487 7.3364908 1.7428151 7.2702794 1.8794190
## tangerine 1.1692932 1.6937628 6.7874534 1.7022061 6.6825607 1.6254356
## lemon 2.2450257 1.0353676 6.4814833 2.3944607 6.8918044 2.4084400
## banana 2.6012776 3.6144126 7.2938880 2.9673459 5.7862135 2.5022322
## pineapple 2.5582685 1.4735652 6.6720496 2.6589465 7.0927832 2.6807609
## red apple 1.0791138 2.7129096 7.2980182 1.9394494 7.1292204 1.6857360
## green apple 1.0778967 2.6885351 7.0052080 1.7957664 6.8376180 1.4527335
## pear 1.1427214 2.5641087 6.7495675 1.7896333 6.6729789 1.4266510
## peach 0.9243478 2.3952853 6.7923597 1.1909691 6.5743016 1.2732203
## cherries 2.4459436 6.8609070 1.5436247 6.5136042 1.2222627
## strawberry 2.4459436 6.0847946 2.2970240 6.8710975 2.5479582
## kiwifruit 6.8609070 6.0847946 6.0189999 6.6542949 6.7446006
## tomato 1.5436247 2.2970240 6.0189999 6.2133027 1.3993787
## avocado 6.5136042 6.8710975 6.6542949 6.2133027 5.8311774
## eggplant 1.2222627 2.5479582 6.7446006 1.3993787 5.8311774
## potato 6.9831612 7.3476938 9.2656222 6.8747720 7.6152361 6.8367755
## carrot 5.6636408 6.1278469 7.5791120 5.2146068 7.2199990 5.5066165
## corn 2.4900329 3.4186513 7.4131070 2.9070888 5.6065712 2.2509727
## hot pepper 6.8927693 5.3176333 5.5481807 6.3229278 7.7372117 6.8593167
## cucumber 2.5432383 3.3294341 5.6638582 1.7295187 6.3983128 2.4749635
## mushroom 5.9927079 6.5999910 9.2456980 6.1729873 6.6438635 5.7351206
## peanuts 19.6726327 19.6426670 19.8816619 19.5324941 15.9662996 19.1460404
## chestnut 4.8528463 4.9160922 7.6376887 4.8216730 6.4585421 4.8015502
## bread 7.8986460 8.1126580 10.1046574 8.0747975 7.9299651 7.6409928
## croissant 7.3629436 7.7286744 9.9974459 7.6278898 7.6558676 7.2804532
## french bread 9.4130303 9.5882573 11.6667779 9.5517485 9.8274140 9.2454925
## pancakes 5.7163804 6.1448017 9.2131356 5.9040592 7.9513944 5.7746405
## cheese 14.4165516 14.5721495 15.9359109 14.4393995 15.0149311 14.4181558
## beef 11.5001707 11.7465179 13.3860429 11.3745515 11.6366129 11.3433229
## chicken 8.9435490 9.3079113 11.1232895 8.8568211 9.0541616 8.7414844
## bacon 12.9266995 13.1368814 14.9008522 13.0319211 13.4391752 13.0601099
## hamburger 5.9045636 6.2782358 9.2481266 5.9621048 7.7626943 5.8750331
## french fries 5.8914727 6.5227463 7.5152924 5.7410940 4.5052753 5.5783809
## pizza 6.9915801 7.1996363 9.1647042 6.9252177 7.8282313 6.8037512
## hotdog 7.0309680 7.3547274 10.0759498 7.1073009 8.4020307 6.9736476
## taco 5.4268238 5.8679783 7.2137269 5.2337103 6.4244284 5.2177584
## burrito 4.7671126 5.2682818 7.8162211 4.8753348 6.0440172 4.5058597
## popcorn 10.1793497 10.4689509 12.1645680 10.5429668 9.6221665 9.9927068
## rice crackers 12.4814668 12.5182975 14.0096151 12.5175286 11.8396195 12.1990706
## rice 3.2205172 3.6641354 7.9923473 3.4036853 7.2192738 3.2048742
## spaghetti 4.5585209 4.8787223 8.5111601 4.7358743 7.5528385 4.4308112
## fried shrimp 6.7858242 7.0380132 9.1973837 6.6569498 8.2568405 6.7514323
## ice cream 8.7801895 9.2291336 11.2994216 9.0011900 10.4868580 8.9325166
## doughnut 5.8509836 6.4868334 8.2975930 6.2858975 7.2551433 6.1428121
## cookie 6.1506712 6.6787821 9.3936592 6.4685051 7.7144382 6.3239413
## cake 7.6157407 8.0462765 10.4135395 7.8831132 8.9681137 7.6757838
## chocolate bar 6.7399750 7.6208508 9.4214148 7.3774918 8.0829463 7.2014160
## candy 5.7493182 6.7531385 9.5740317 6.7175061 10.0236842 6.6940176
## custard flan 4.1711674 5.0284174 8.4647631 4.6724739 7.7211199 4.5527924
## honey 5.9916962 7.0251409 9.7102589 6.9863183 10.0600602 6.9308320
## milk 2.6540287 3.5220005 7.7729904 2.8205299 7.1645539 2.8094375
## black tea 2.3278514 3.0150630 7.8007376 2.3553322 7.9998833 2.5508874
## sake 2.3281467 3.1475163 7.8172546 2.5068115 8.0300118 2.7178330
## champagne 2.0093061 2.9172142 7.6903720 2.1258243 7.7264322 2.3317376
## red wine 1.7821733 2.8326426 7.5469912 1.8555312 7.4910564 2.1052063
## beer 2.2329770 3.0240523 7.7678699 2.2936629 7.8295021 2.4785751
## potato carrot corn hot pepper cucumber mushroom
## grapes 7.3582611 5.5746509 3.5481458 6.7203069 1.6070000 6.2876675
## melon 7.1247103 5.7747244 2.8380555 6.0836956 2.4476263 6.1596124
## watermelon 7.2939560 5.8731532 2.8642479 7.1062043 2.4779806 6.1424273
## tangerine 6.8885759 5.6577957 2.4618368 6.2708502 2.8683504 6.0346608
## lemon 7.2914451 6.1382723 3.2359182 5.5625723 3.4462826 6.5251406
## banana 6.4076975 5.8806860 2.6431339 6.1904496 4.0172906 5.7857421
## pineapple 7.2466899 6.2638181 3.3121268 5.6962979 3.5322590 6.4094921
## red apple 7.4696171 5.9294981 3.0207635 7.3969224 2.6812795 6.4827936
## green apple 7.3949013 5.7758510 2.9986656 7.3237908 2.4858583 6.4764583
## pear 7.3830877 5.7643886 2.9920273 7.1562692 2.4449830 6.4325109
## peach 7.0554896 5.5914619 2.6600253 6.9331303 2.3360032 5.9810721
## cherries 6.9831612 5.6636408 2.4900329 6.8927693 2.5432383 5.9927079
## strawberry 7.3476938 6.1278469 3.4186513 5.3176333 3.3294341 6.5999910
## kiwifruit 9.2656222 7.5791120 7.4131070 5.5481807 5.6638582 9.2456980
## tomato 6.8747720 5.2146068 2.9070888 6.3229278 1.7295187 6.1729873
## avocado 7.6152361 7.2199990 5.6065712 7.7372117 6.3983128 6.6438635
## eggplant 6.8367755 5.5066165 2.2509727 6.8593167 2.4749635 5.7351206
## potato 3.2196454 6.5442017 8.3720871 7.5905874 7.7637693
## carrot 3.2196454 5.8916287 8.0178501 5.6169706 7.8883116
## corn 6.5442017 5.8916287 6.9266940 3.5798585 4.9911589
## hot pepper 8.3720871 8.0178501 6.9266940 6.9354883 8.5843386
## cucumber 7.5905874 5.6169706 3.5798585 6.9354883 6.4046025
## mushroom 7.7637693 7.8883116 4.9911589 8.5843386 6.4046025
## peanuts 18.6628572 19.6838451 18.2960357 19.4472952 20.1121384 18.0978202
## chestnut 6.9863784 7.1119353 4.5282748 5.9349473 5.7400490 6.3967931
## bread 9.2848146 9.1871812 6.7818242 9.7376729 8.2947094 7.2721408
## croissant 9.1479997 8.8357383 6.3581082 9.7561643 7.8720265 7.2780915
## french bread 10.7113264 10.5753749 8.5681597 10.9594478 9.8125449 8.4330974
## pancakes 8.5258939 7.8291680 5.3782265 8.7510973 6.1078748 6.1832925
## cheese 15.5193323 15.1805850 13.9816078 15.7761433 14.4564711 14.2354490
## beef 12.1817983 12.3227654 10.4224839 11.7016825 11.6720460 10.5114702
## chicken 10.0126897 10.0585584 7.5268725 10.1258737 9.0334322 7.5175866
## bacon 15.0028063 14.2652665 13.0267847 14.9223752 13.1212189 14.3920177
## hamburger 8.5005978 7.9036734 5.3603072 8.5491877 6.3352655 6.4906850
## french fries 7.2393316 7.0944999 4.8856722 7.3916965 6.3646434 7.1350165
## pizza 9.0964109 8.3203529 6.3643720 9.0773886 7.2427015 7.6503291
## hotdog 9.3222514 8.7610688 6.4407848 9.4970914 7.3172715 6.6676476
## taco 8.3352269 7.0397156 5.0976087 8.0911047 5.3109478 7.3208256
## burrito 7.5216592 6.7340555 4.0093197 7.7463966 5.2115398 5.4034837
## popcorn 11.2205513 11.3004797 9.4576805 11.8157216 10.9212229 11.0465812
## rice crackers 12.2602515 13.2247602 11.0006206 12.9878760 12.7229906 11.6549254
## rice 7.7365005 6.5872429 3.1224524 7.6852260 3.7613603 6.2007504
## spaghetti 8.2404424 7.2008921 4.4373335 8.1993408 5.1222846 6.3119154
## fried shrimp 9.5479163 8.4557081 6.4736808 9.4082771 6.9755045 8.6662647
## ice cream 10.9325791 10.3560244 8.7454220 11.2286575 9.1614147 8.2839922
## doughnut 8.8124119 7.9872828 5.6677462 8.8862980 6.3184457 7.9773498
## cookie 8.7637330 8.3282635 5.8737245 9.0711101 6.8106534 7.1987764
## cake 9.7086428 9.3582052 6.5404557 10.0777517 8.1265486 8.0884987
## chocolate bar 9.1507048 8.8348692 6.5129910 9.6620205 7.5106330 7.7623202
## candy 9.7390670 8.7583145 6.6542554 9.8096514 6.8964676 9.3082141
## custard flan 8.0596687 7.1444094 4.4749043 8.2736623 4.8580925 5.8992491
## honey 9.7950319 8.9118034 6.9082642 9.8750150 7.2007210 9.2633876
## milk 7.4602549 6.2286922 3.2360400 7.5055238 3.1956883 5.4192574
## black tea 8.0553544 6.3890831 3.7843085 7.7914650 2.7542751 6.7930273
## sake 8.0958554 6.4432064 3.7621668 7.8345079 2.8583872 6.9084003
## champagne 7.7927248 6.2327805 3.4189781 7.5286845 2.6322296 6.6058548
## red wine 7.5822142 6.0790635 3.1648390 7.3498373 2.5111386 6.3699065
## beer 7.9334574 6.3156094 3.4045145 7.6199376 2.7165719 6.5655810
## peanuts chestnut bread croissant french bread
## grapes 19.7989984 5.1777022 7.9978241 7.5396966 9.3915581
## melon 19.8937622 4.6379843 8.1819874 7.6711537 9.5768972
## watermelon 20.1333165 5.2593100 8.2408144 7.6138882 9.5993458
## tangerine 19.6324639 4.7528695 7.8783998 7.2713632 9.3050848
## lemon 19.8306092 5.0255117 8.1337561 7.6946286 9.5856248
## banana 18.7988283 3.7116776 7.6524722 7.3621052 9.2091926
## pineapple 19.4909566 4.6501812 7.8042458 7.5256776 9.2905138
## red apple 20.1754432 5.5705982 8.2439168 7.6040209 9.6620459
## green apple 20.0664055 5.6127597 8.1502229 7.5847638 9.6324539
## pear 19.8945577 5.4723713 8.0528075 7.5360953 9.5786404
## peach 19.5515780 5.0693663 7.9969214 7.4488237 9.4738881
## cherries 19.6726327 4.8528463 7.8986460 7.3629436 9.4130303
## strawberry 19.6426670 4.9160922 8.1126580 7.7286744 9.5882573
## kiwifruit 19.8816619 7.6376887 10.1046574 9.9974459 11.6667779
## tomato 19.5324941 4.8216730 8.0747975 7.6278898 9.5517485
## avocado 15.9662996 6.4585421 7.9299651 7.6558676 9.8274140
## eggplant 19.1460404 4.8015502 7.6409928 7.2804532 9.2454925
## potato 18.6628572 6.9863784 9.2848146 9.1479997 10.7113264
## carrot 19.6838451 7.1119353 9.1871812 8.8357383 10.5753749
## corn 18.2960357 4.5282748 6.7818242 6.3581082 8.5681597
## hot pepper 19.4472952 5.9349473 9.7376729 9.7561643 10.9594478
## cucumber 20.1121384 5.7400490 8.2947094 7.8720265 9.8125449
## mushroom 18.0978202 6.3967931 7.2721408 7.2780915 8.4330974
## peanuts 17.5112833 15.8121132 16.6660234 16.5932304
## chestnut 17.5112833 7.7207390 7.6943296 8.9713255
## bread 15.8121132 7.7207390 4.6478507 3.4699252
## croissant 16.6660234 7.6943296 4.6478507 5.5180006
## french bread 16.5932304 8.9713255 3.4699252 5.5180006
## pancakes 18.1695950 6.6689821 5.3916525 4.6196155 6.3288138
## cheese 20.7924671 14.9413940 13.6020328 12.5834873 14.6029763
## beef 17.9813734 11.0162147 9.8726164 9.7809597 10.8606528
## chicken 17.4971178 9.0240553 8.1533599 7.1614738 9.7215584
## bacon 20.5009314 13.7398935 14.5326692 11.5969870 15.4765730
## hamburger 17.3274930 6.2047779 4.8343289 4.6755911 5.9063121
## french fries 15.8153461 5.0575399 7.1746621 6.8887875 9.0238628
## pizza 16.4279811 7.2139608 3.6882859 4.2034710 4.6286026
## hotdog 17.6800337 7.5572848 4.8946508 4.2141780 5.5144591
## taco 17.6001756 6.8591344 6.6346574 6.0396327 8.5670251
## burrito 17.2417435 5.8905876 4.3668369 4.3174502 5.9627834
## popcorn 15.3748952 10.0694533 8.1251836 8.7943844 9.7153089
## rice crackers 15.4980782 10.8310199 9.5242313 10.8398819 11.1116982
## rice 18.9067702 5.0969540 6.3057812 6.2015834 7.6515528
## spaghetti 18.4007311 5.8676634 4.9752849 5.2275999 5.9615452
## fried shrimp 17.8160400 7.9013076 7.5921766 5.6511000 8.8672143
## ice cream 20.4929352 9.9646632 10.8889046 9.2932556 11.8857520
## doughnut 17.4383410 6.7644727 6.6208211 5.2178670 8.4529456
## cookie 16.9356098 5.7273861 6.2263088 5.2746823 7.0543999
## cake 17.8406626 8.2168503 7.4486058 5.5689816 8.7411924
## chocolate bar 17.9392644 7.3847873 7.8722475 5.7611266 9.1743943
## candy 21.2420608 7.6737773 9.5169059 8.6065247 10.6329921
## custard flan 19.7026567 6.4339123 7.6582155 5.9689712 8.8273572
## honey 21.1637936 8.0009301 9.7175057 8.8794011 10.8275893
## milk 19.8090135 5.6091040 7.7874968 6.9316267 9.0200889
## black tea 20.7448734 6.1171489 8.7975759 8.1715185 10.0647890
## sake 20.6987906 6.0465294 8.6858591 7.9686474 9.9710013
## champagne 20.4542705 5.7092744 8.5066206 7.9000161 9.8213444
## red wine 20.2301172 5.4360888 8.3162376 7.7429864 9.6519425
## beer 20.5443314 5.9523991 8.5462352 7.8560244 9.8319702
## pancakes cheese beef chicken bacon hamburger
## grapes 5.9240263 14.5101794 11.5219032 9.0779568 13.0750274 6.1298131
## melon 5.8354087 14.4640628 11.1910157 8.8023308 12.9635065 5.9365032
## watermelon 5.7134584 14.4217462 11.5916033 9.0039142 12.8445379 5.9552483
## tangerine 5.6552907 14.3073609 11.4610628 8.8813667 12.9330495 5.9132591
## lemon 6.0895858 14.5553673 11.6584227 9.2472122 13.1172715 6.2728430
## banana 6.0854944 14.5775190 10.6256223 8.3767911 13.3421028 6.0082866
## pineapple 6.0291442 14.6340089 11.6414365 9.2059922 13.1296597 6.1662283
## red apple 5.8935738 14.5085717 11.7783058 9.2922867 12.8360139 6.1734100
## green apple 5.9523350 14.5374100 11.7869487 9.2881394 12.8796287 6.2044849
## pear 5.9675118 14.5229886 11.7836417 9.2949665 12.9003888 6.2008653
## peach 5.7417206 14.3901157 11.4742806 8.8897420 12.9027212 5.8817106
## cherries 5.7163804 14.4165516 11.5001707 8.9435490 12.9266995 5.9045636
## strawberry 6.1448017 14.5721495 11.7465179 9.3079113 13.1368814 6.2782358
## kiwifruit 9.2131356 15.9359109 13.3860429 11.1232895 14.9008522 9.2481266
## tomato 5.9040592 14.4393995 11.3745515 8.8568211 13.0319211 5.9621048
## avocado 7.9513944 15.0149311 11.6366129 9.0541616 13.4391752 7.7626943
## eggplant 5.7746405 14.4181558 11.3433229 8.7414844 13.0601099 5.8750331
## potato 8.5258939 15.5193323 12.1817983 10.0126897 15.0028063 8.5005978
## carrot 7.8291680 15.1805850 12.3227654 10.0585584 14.2652665 7.9036734
## corn 5.3782265 13.9816078 10.4224839 7.5268725 13.0267847 5.3603072
## hot pepper 8.7510973 15.7761433 11.7016825 10.1258737 14.9223752 8.5491877
## cucumber 6.1078748 14.4564711 11.6720460 9.0334322 13.1212189 6.3352655
## mushroom 6.1832925 14.2354490 10.5114702 7.5175866 14.3920177 6.4906850
## peanuts 18.1695950 20.7924671 17.9813734 17.4971178 20.5009314 17.3274930
## chestnut 6.6689821 14.9413940 11.0162147 9.0240553 13.7398935 6.2047779
## bread 5.3916525 13.6020328 9.8726164 8.1533599 14.5326692 4.8343289
## croissant 4.6196155 12.5834873 9.7809597 7.1614738 11.5969870 4.6755911
## french bread 6.3288138 14.6029763 10.8606528 9.7215584 15.4765730 5.9063121
## pancakes 11.5354436 9.7739778 7.2815541 12.1190476 3.2853010
## cheese 11.5354436 11.4110951 12.1076946 15.6863855 11.5503224
## beef 9.7739778 11.4110951 6.0283925 15.5494264 8.0312831
## chicken 7.2815541 12.1076946 6.0283925 13.7753759 6.8266917
## bacon 12.1190476 15.6863855 15.5494264 13.7753759 12.2224639
## hamburger 3.2853010 11.5503224 8.0312831 6.8266917 12.2224639
## french fries 6.7685512 14.4760066 10.3806963 8.0679836 12.6671307 6.3806489
## pizza 4.0311087 11.7102995 9.2438313 7.8644544 13.2005096 3.3152206
## hotdog 3.5156127 11.8678287 8.4904727 6.8644895 12.2361761 2.1865825
## taco 5.2339486 11.4970178 8.8588748 7.2387358 12.1347003 4.4766252
## burrito 3.5421285 12.5269930 9.2938627 7.1285064 12.8210127 3.4338186
## popcorn 8.6561831 14.6829081 12.2824127 11.3198427 13.3561334 8.3064173
## rice crackers 11.4170608 16.0553418 12.7698256 11.1739927 17.3055014 10.9025533
## rice 4.8975725 14.2023101 10.9706908 8.5642149 12.9097785 4.7503015
## spaghetti 4.3546586 13.6578922 10.4691031 8.3279668 13.1942342 4.0806282
## fried shrimp 5.6023560 12.5558329 10.2478207 7.9488867 11.4573165 5.3898021
## ice cream 8.7006477 13.8818981 12.0089247 9.4509727 13.5244456 9.2442120
## doughnut 5.0230401 12.3542460 10.7502331 8.3995656 11.0130166 5.6025799
## cookie 4.8588923 13.4758907 11.0780755 9.2960295 10.5877033 4.5895617
## cake 6.5548192 13.4058865 9.9524760 7.4020465 12.3952518 6.8642760
## chocolate bar 6.5561101 12.3940455 11.2171749 9.2102573 10.9759869 6.6455349
## candy 7.8959579 15.6599338 13.4569937 11.3546835 13.5862057 8.1614515
## custard flan 3.9813674 12.3165031 10.2078767 7.2093842 12.2258345 5.1616740
## honey 8.2371243 15.7480431 13.3859480 11.3676996 13.9838525 8.4565973
## milk 4.3910672 12.6045625 10.6789868 8.2019149 12.4654550 5.0318467
## black tea 6.1061789 14.6304998 12.0574557 9.5521799 12.8781777 6.4123699
## sake 5.9598986 14.4649083 11.9527187 9.4589770 12.5846871 6.2372280
## champagne 5.8105047 14.3988067 11.6798726 9.2384011 12.7050844 6.0593316
## red wine 5.6682972 14.3420537 11.4345619 9.0128683 12.7257908 5.8739002
## beer 5.8901266 14.4306517 11.6474221 9.1170487 12.7751650 6.1754545
## french fries pizza hotdog taco burrito
## grapes 5.9351578 6.9218291 7.1950832 5.2335991 4.9149887
## melon 6.1038451 7.1475020 7.0824035 5.6335992 5.0443825
## watermelon 6.6773606 7.2627636 6.9997033 5.8908954 5.2216490
## tangerine 6.0826378 6.9201983 7.0080707 5.6186119 4.8159706
## lemon 6.5199308 7.2630957 7.3266437 5.9068620 5.1963255
## banana 4.7180835 7.0619289 7.2354191 5.7415569 4.8517651
## pineapple 6.5644848 7.1526298 7.2613494 6.0666245 5.2435778
## red apple 6.5496385 7.2344063 7.2271748 5.6855571 5.1267087
## green apple 6.4001158 7.1656104 7.2515859 5.4886395 4.9919003
## pear 6.3204153 7.0879095 7.2548674 5.3542822 4.8907856
## peach 6.0171171 6.9692659 6.9721257 5.4234749 4.8593907
## cherries 5.8914727 6.9915801 7.0309680 5.4268238 4.7671126
## strawberry 6.5227463 7.1996363 7.3547274 5.8679783 5.2682818
## kiwifruit 7.5152924 9.1647042 10.0759498 7.2137269 7.8162211
## tomato 5.7410940 6.9252177 7.1073009 5.2337103 4.8753348
## avocado 4.5052753 7.8282313 8.4020307 6.4244284 6.0440172
## eggplant 5.5783809 6.8037512 6.9736476 5.2177584 4.5058597
## potato 7.2393316 9.0964109 9.3222514 8.3352269 7.5216592
## carrot 7.0944999 8.3203529 8.7610688 7.0397156 6.7340555
## corn 4.8856722 6.3643720 6.4407848 5.0976087 4.0093197
## hot pepper 7.3916965 9.0773886 9.4970914 8.0911047 7.7463966
## cucumber 6.3646434 7.2427015 7.3172715 5.3109478 5.2115398
## mushroom 7.1350165 7.6503291 6.6676476 7.3208256 5.4034837
## peanuts 15.8153461 16.4279811 17.6800337 17.6001756 17.2417435
## chestnut 5.0575399 7.2139608 7.5572848 6.8591344 5.8905876
## bread 7.1746621 3.6882859 4.8946508 6.6346574 4.3668369
## croissant 6.8887875 4.2034710 4.2141780 6.0396327 4.3174502
## french bread 9.0238628 4.6286026 5.5144591 8.5670251 5.9627834
## pancakes 6.7685512 4.0311087 3.5156127 5.2339486 3.5421285
## cheese 14.4760066 11.7102995 11.8678287 11.4970178 12.5269930
## beef 10.3806963 9.2438313 8.4904727 8.8588748 9.2938627
## chicken 8.0679836 7.8644544 6.8644895 7.2387358 7.1285064
## bacon 12.6671307 13.2005096 12.2361761 12.1347003 12.8210127
## hamburger 6.3806489 3.3152206 2.1865825 4.4766252 3.4338186
## french fries 6.5206304 7.5112841 5.2620539 5.0940252
## pizza 6.5206304 3.8360808 4.7468086 3.2575334
## hotdog 7.5112841 3.8360808 5.5803910 4.1206798
## taco 5.2620539 4.7468086 5.5803910 3.3872922
## burrito 5.0940252 3.2575334 4.1206798 3.3872922
## popcorn 8.0479092 8.1245414 8.7490728 7.7945344 7.7466949
## rice crackers 10.4245339 10.8185543 11.4192341 11.4520852 10.8798594
## rice 6.5576740 5.7812464 5.8373102 5.7559497 4.4756038
## spaghetti 6.8714748 4.4880443 4.7580663 5.6465357 3.8180315
## fried shrimp 6.6637756 5.4142153 5.6719922 4.6139996 5.0669946
## ice cream 9.9993166 9.8981977 9.5871968 8.2184125 8.2645859
## doughnut 6.2072179 5.5529635 6.3763816 4.8888738 4.8309093
## cookie 6.1577389 5.3351058 5.3667395 6.0720435 4.8675103
## cake 7.1375817 6.8445136 7.1583096 6.3601101 5.6818410
## chocolate bar 7.0176700 7.0256254 7.3161006 6.5828955 6.1683186
## candy 8.7057420 8.8940582 9.0646931 8.2387540 7.8073179
## custard flan 7.2493038 6.5532360 5.6286287 5.7319019 4.9960696
## honey 8.9690695 9.1697303 9.3003282 8.5373312 8.0417657
## milk 6.6354200 6.4448098 6.0013492 5.2750443 4.5109714
## black tea 7.4938249 7.7010753 7.3845099 6.3082729 5.8026604
## sake 7.3561051 7.5530884 7.2412043 6.1489752 5.7222088
## champagne 7.0372232 7.4075938 7.1146798 5.9998464 5.4929814
## red wine 6.6916372 7.2202552 6.9713875 5.7864809 5.2323273
## beer 7.1678720 7.4345349 7.1637335 6.0421900 5.5029502
## popcorn rice crackers rice spaghetti fried shrimp
## grapes 10.6052768 12.5452147 3.8190719 4.8872126 6.8603613
## melon 10.5701509 12.5607224 3.2854951 4.6764282 6.8129667
## watermelon 10.7453952 12.6567837 2.8570323 4.5288396 6.8224249
## tangerine 10.3412547 12.4303034 3.0977154 4.4490132 6.7215782
## lemon 10.3572793 12.8521993 3.6490843 4.8510714 7.1120737
## banana 9.7564129 11.3759664 4.1969359 5.0913868 7.2239636
## pineapple 10.4029158 11.6819086 3.3545651 4.6719564 7.1120132
## red apple 10.4457160 12.8528529 3.1722114 4.5541084 6.7982730
## green apple 10.3086282 12.8703964 3.2724909 4.5574615 6.8102840
## pear 10.1721726 12.8189536 3.3179459 4.5288947 6.7801406
## peach 10.4192657 12.5410223 3.1382562 4.5475815 6.5758717
## cherries 10.1793497 12.4814668 3.2205172 4.5585209 6.7858242
## strawberry 10.4689509 12.5182975 3.6641354 4.8787223 7.0380132
## kiwifruit 12.1645680 14.0096151 7.9923473 8.5111601 9.1973837
## tomato 10.5429668 12.5175286 3.4036853 4.7358743 6.6569498
## avocado 9.6221665 11.8396195 7.2192738 7.5528385 8.2568405
## eggplant 9.9927068 12.1990706 3.2048742 4.4308112 6.7514323
## potato 11.2205513 12.2602515 7.7365005 8.2404424 9.5479163
## carrot 11.3004797 13.2247602 6.5872429 7.2008921 8.4557081
## corn 9.4576805 11.0006206 3.1224524 4.4373335 6.4736808
## hot pepper 11.8157216 12.9878760 7.6852260 8.1993408 9.4082771
## cucumber 10.9212229 12.7229906 3.7613603 5.1222846 6.9755045
## mushroom 11.0465812 11.6549254 6.2007504 6.3119154 8.6662647
## peanuts 15.3748952 15.4980782 18.9067702 18.4007311 17.8160400
## chestnut 10.0694533 10.8310199 5.0969540 5.8676634 7.9013076
## bread 8.1251836 9.5242313 6.3057812 4.9752849 7.5921766
## croissant 8.7943844 10.8398819 6.2015834 5.2275999 5.6511000
## french bread 9.7153089 11.1116982 7.6515528 5.9615452 8.8672143
## pancakes 8.6561831 11.4170608 4.8975725 4.3546586 5.6023560
## cheese 14.6829081 16.0553418 14.2023101 13.6578922 12.5558329
## beef 12.2824127 12.7698256 10.9706908 10.4691031 10.2478207
## chicken 11.3198427 11.1739927 8.5642149 8.3279668 7.9488867
## bacon 13.3561334 17.3055014 12.9097785 13.1942342 11.4573165
## hamburger 8.3064173 10.9025533 4.7503015 4.0806282 5.3898021
## french fries 8.0479092 10.4245339 6.5576740 6.8714748 6.6637756
## pizza 8.1245414 10.8185543 5.7812464 4.4880443 5.4142153
## hotdog 8.7490728 11.4192341 5.8373102 4.7580663 5.6719922
## taco 7.7945344 11.4520852 5.7559497 5.6465357 4.6139996
## burrito 7.7466949 10.8798594 4.4756038 3.8180315 5.0669946
## popcorn 11.2835503 10.0648008 9.4657317 9.0307320
## rice crackers 11.2835503 11.4363048 11.1672462 11.9417033
## rice 10.0648008 11.4363048 2.8206499 6.5487676
## spaghetti 9.4657317 11.1672462 2.8206499 6.4657767
## fried shrimp 9.0307320 11.9417033 6.5487676 6.4657767
## ice cream 12.7116393 14.3223955 9.1575392 9.4735682 9.2137381
## doughnut 8.3788613 11.4270821 5.7220353 6.0301130 5.4568938
## cookie 8.0745162 11.0174931 5.3314584 5.3247413 6.1946031
## cake 9.7225430 11.5958326 7.4247552 7.1902329 5.9096344
## chocolate bar 9.7831451 11.7410815 7.0978658 7.1987214 7.3508736
## candy 11.5177663 13.3191234 6.1830836 7.0295039 8.4974812
## custard flan 10.5476149 12.2696014 4.5925160 5.0304430 6.3377815
## honey 11.8419189 13.5523671 6.7076316 7.4568126 8.9825428
## milk 10.4163986 12.3496889 3.5208547 4.5042991 6.4407216
## black tea 11.2353811 13.1459089 3.2109688 4.8397670 7.0632925
## sake 11.0238585 13.1186904 3.0891949 4.6950782 6.8613439
## champagne 10.8659223 12.8338711 2.9774459 4.6646424 6.8553099
## red wine 10.7264845 12.6831200 2.9743548 4.6039024 6.7348884
## beer 11.0751822 12.9658045 3.0352818 4.6495050 6.7613720
## ice cream doughnut cookie cake chocolate bar
## grapes 8.9725844 5.7426896 6.2534508 7.8205597 6.7004138
## melon 8.9545171 6.3436755 6.4327688 7.7862720 7.3181515
## watermelon 8.8819140 6.3516075 6.3843765 7.8478428 7.2761629
## tangerine 8.7944757 6.0177794 6.2584382 7.5418674 6.9292116
## lemon 9.1970624 6.5485156 6.7266253 8.0150189 7.6502126
## banana 9.0761651 6.2732817 6.3109587 7.6833601 6.8937939
## pineapple 9.1872048 6.3172584 6.4045842 7.9014433 7.3482649
## red apple 8.8763018 6.1124272 6.4228966 7.8519641 7.0893828
## green apple 8.9297378 6.1006757 6.4796259 7.8682132 7.1599154
## pear 8.9488100 5.9451476 6.3887443 7.7580598 7.0786736
## peach 8.8232087 6.1041507 6.2650805 7.7103174 7.0369769
## cherries 8.7801895 5.8509836 6.1506712 7.6157407 6.7399750
## strawberry 9.2291336 6.4868334 6.6787821 8.0462765 7.6208508
## kiwifruit 11.2994216 8.2975930 9.3936592 10.4135395 9.4214148
## tomato 9.0011900 6.2858975 6.4685051 7.8831132 7.3774918
## avocado 10.4868580 7.2551433 7.7144382 8.9681137 8.0829463
## eggplant 8.9325166 6.1428121 6.3239413 7.6757838 7.2014160
## potato 10.9325791 8.8124119 8.7637330 9.7086428 9.1507048
## carrot 10.3560244 7.9872828 8.3282635 9.3582052 8.8348692
## corn 8.7454220 5.6677462 5.8737245 6.5404557 6.5129910
## hot pepper 11.2286575 8.8862980 9.0711101 10.0777517 9.6620205
## cucumber 9.1614147 6.3184457 6.8106534 8.1265486 7.5106330
## mushroom 8.2839922 7.9773498 7.1987764 8.0884987 7.7623202
## peanuts 20.4929352 17.4383410 16.9356098 17.8406626 17.9392644
## chestnut 9.9646632 6.7644727 5.7273861 8.2168503 7.3847873
## bread 10.8889046 6.6208211 6.2263088 7.4486058 7.8722475
## croissant 9.2932556 5.2178670 5.2746823 5.5689816 5.7611266
## french bread 11.8857520 8.4529456 7.0543999 8.7411924 9.1743943
## pancakes 8.7006477 5.0230401 4.8588923 6.5548192 6.5561101
## cheese 13.8818981 12.3542460 13.4758907 13.4058865 12.3940455
## beef 12.0089247 10.7502331 11.0780755 9.9524760 11.2171749
## chicken 9.4509727 8.3995656 9.2960295 7.4020465 9.2102573
## bacon 13.5244456 11.0130166 10.5877033 12.3952518 10.9759869
## hamburger 9.2442120 5.6025799 4.5895617 6.8642760 6.6455349
## french fries 9.9993166 6.2072179 6.1577389 7.1375817 7.0176700
## pizza 9.8981977 5.5529635 5.3351058 6.8445136 7.0256254
## hotdog 9.5871968 6.3763816 5.3667395 7.1583096 7.3161006
## taco 8.2184125 4.8888738 6.0720435 6.3601101 6.5828955
## burrito 8.2645859 4.8309093 4.8675103 5.6818410 6.1683186
## popcorn 12.7116393 8.3788613 8.0745162 9.7225430 9.7831451
## rice crackers 14.3223955 11.4270821 11.0174931 11.5958326 11.7410815
## rice 9.1575392 5.7220353 5.3314584 7.4247552 7.0978658
## spaghetti 9.4735682 6.0301130 5.3247413 7.1902329 7.1987214
## fried shrimp 9.2137381 5.4568938 6.1946031 5.9096344 7.3508736
## ice cream 8.7701896 9.5943543 9.6941680 9.0555265
## doughnut 8.7701896 4.6219175 5.8740309 4.4295675
## cookie 9.5943543 4.6219175 6.6481280 5.1918443
## cake 9.6941680 5.8740309 6.6481280 6.8032210
## chocolate bar 9.0555265 4.4295675 5.1918443 6.8032210
## candy 10.0344658 6.1918726 7.1473529 9.0135974 6.3184559
## custard flan 7.8194980 5.1360471 6.2266273 7.1400485 6.0264783
## honey 10.1106282 6.4610348 7.7811539 9.3894226 6.3412296
## milk 8.3654966 6.0219069 5.9207815 7.4818332 6.6759437
## black tea 9.1849683 6.9405182 6.8705387 8.3225115 7.9952860
## sake 9.1050882 6.6414681 6.5576267 8.1264713 7.6828483
## champagne 9.0277303 6.5799423 6.4989924 8.0832124 7.6272588
## red wine 8.9466915 6.4314754 6.3225448 7.7883174 7.4583715
## beer 9.0307289 6.6840132 6.6649096 7.8369282 7.7057380
## candy custard flan honey milk black tea
## grapes 5.8926419 4.5168671 6.1093119 3.3429249 3.1267725
## melon 6.3623501 4.4604518 6.6326277 2.6485232 2.0844829
## watermelon 6.0620589 4.1931480 6.3976075 2.3024074 1.2321644
## tangerine 5.9650024 4.2445823 6.2284853 2.6292646 2.3227444
## lemon 6.7403353 4.9660835 7.0561433 3.3952164 2.9592962
## banana 6.5897312 4.9136352 6.7129731 3.8290724 4.2300140
## pineapple 6.3623625 4.8745219 6.6064685 3.5752792 2.9955170
## red apple 5.5908553 4.2534889 5.9280918 2.7022265 1.7130339
## green apple 5.8378689 4.4063921 6.1706995 2.8443058 1.9421834
## pear 5.8539085 4.4791949 6.1835769 2.9906976 2.1713375
## peach 6.0885609 4.2555975 6.3584228 2.5424901 1.9547995
## cherries 5.7493182 4.1711674 5.9916962 2.6540287 2.3278514
## strawberry 6.7531385 5.0284174 7.0251409 3.5220005 3.0150630
## kiwifruit 9.5740317 8.4647631 9.7102589 7.7729904 7.8007376
## tomato 6.7175061 4.6724739 6.9863183 2.8205299 2.3553322
## avocado 10.0236842 7.7211199 10.0600602 7.1645539 7.9998833
## eggplant 6.6940176 4.5527924 6.9308320 2.8094375 2.5508874
## potato 9.7390670 8.0596687 9.7950319 7.4602549 8.0553544
## carrot 8.7583145 7.1444094 8.9118034 6.2286922 6.3890831
## corn 6.6542554 4.4749043 6.9082642 3.2360400 3.7843085
## hot pepper 9.8096514 8.2736623 9.8750150 7.5055238 7.7914650
## cucumber 6.8964676 4.8580925 7.2007210 3.1956883 2.7542751
## mushroom 9.3082141 5.8992491 9.2633876 5.4192574 6.7930273
## peanuts 21.2420608 19.7026567 21.1637936 19.8090135 20.7448734
## chestnut 7.6737773 6.4339123 8.0009301 5.6091040 6.1171489
## bread 9.5169059 7.6582155 9.7175057 7.7874968 8.7975759
## croissant 8.6065247 5.9689712 8.8794011 6.9316267 8.1715185
## french bread 10.6329921 8.8273572 10.8275893 9.0200889 10.0647890
## pancakes 7.8959579 3.9813674 8.2371243 4.3910672 6.1061789
## cheese 15.6599338 12.3165031 15.7480431 12.6045625 14.6304998
## beef 13.4569937 10.2078767 13.3859480 10.6789868 12.0574557
## chicken 11.3546835 7.2093842 11.3676996 8.2019149 9.5521799
## bacon 13.5862057 12.2258345 13.9838525 12.4654550 12.8781777
## hamburger 8.1614515 5.1616740 8.4565973 5.0318467 6.4123699
## french fries 8.7057420 7.2493038 8.9690695 6.6354200 7.4938249
## pizza 8.8940582 6.5532360 9.1697303 6.4448098 7.7010753
## hotdog 9.0646931 5.6286287 9.3003282 6.0013492 7.3845099
## taco 8.2387540 5.7319019 8.5373312 5.2750443 6.3082729
## burrito 7.8073179 4.9960696 8.0417657 4.5109714 5.8026604
## popcorn 11.5177663 10.5476149 11.8419189 10.4163986 11.2353811
## rice crackers 13.3191234 12.2696014 13.5523671 12.3496889 13.1459089
## rice 6.1830836 4.5925160 6.7076316 3.5208547 3.2109688
## spaghetti 7.0295039 5.0304430 7.4568126 4.5042991 4.8397670
## fried shrimp 8.4974812 6.3377815 8.9825428 6.4407216 7.0632925
## ice cream 10.0344658 7.8194980 10.1106282 8.3654966 9.1849683
## doughnut 6.1918726 5.1360471 6.4610348 6.0219069 6.9405182
## cookie 7.1473529 6.2266273 7.7811539 5.9207815 6.8705387
## cake 9.0135974 7.1400485 9.3894226 7.4818332 8.3225115
## chocolate bar 6.3184559 6.0264783 6.3412296 6.6759437 7.9952860
## candy 6.2058777 1.6922018 6.8247759 6.5208786
## custard flan 6.2058777 6.2962253 3.2293772 4.6752507
## honey 1.6922018 6.2962253 7.1213639 6.9255391
## milk 6.8247759 3.2293772 7.1213639 2.6687939
## black tea 6.5208786 4.6752507 6.9255391 2.6687939
## sake 6.1399717 4.5701090 6.6678393 2.6967936 0.9271251
## champagne 6.2885802 4.4360863 6.7152126 2.3979587 0.7876537
## red wine 6.3535448 4.3709847 6.7453937 2.2771959 1.1374947
## beer 6.3670239 4.5007381 6.8022846 2.5009975 0.7913647
## sake champagne red wine beer
## grapes 3.1227836 2.8976924 2.7091126 3.0252785
## melon 2.1781993 1.7420457 1.5177565 1.8895982
## watermelon 1.3321737 0.9571065 0.9528418 1.1248960
## tangerine 2.3509814 2.0606232 1.9257654 2.1265497
## lemon 2.9993415 2.7962645 2.7363453 2.8830659
## banana 4.2543159 3.7824703 3.4850247 3.9811619
## pineapple 3.1991613 2.9095272 2.8632794 3.0433685
## red apple 1.6758323 1.5086923 1.5262889 1.6213990
## green apple 1.9328829 1.7756700 1.7558776 1.8832077
## pear 2.1621398 2.0329582 1.9930963 2.1056090
## peach 2.0305714 1.7153954 1.5108649 1.8681055
## cherries 2.3281467 2.0093061 1.7821733 2.2329770
## strawberry 3.1475163 2.9172142 2.8326426 3.0240523
## kiwifruit 7.8172546 7.6903720 7.5469912 7.7678699
## tomato 2.5068115 2.1258243 1.8555312 2.2936629
## avocado 8.0300118 7.7264322 7.4910564 7.8295021
## eggplant 2.7178330 2.3317376 2.1052063 2.4785751
## potato 8.0958554 7.7927248 7.5822142 7.9334574
## carrot 6.4432064 6.2327805 6.0790635 6.3156094
## corn 3.7621668 3.4189781 3.1648390 3.4045145
## hot pepper 7.8345079 7.5286845 7.3498373 7.6199376
## cucumber 2.8583872 2.6322296 2.5111386 2.7165719
## mushroom 6.9084003 6.6058548 6.3699065 6.5655810
## peanuts 20.6987906 20.4542705 20.2301172 20.5443314
## chestnut 6.0465294 5.7092744 5.4360888 5.9523991
## bread 8.6858591 8.5066206 8.3162376 8.5462352
## croissant 7.9686474 7.9000161 7.7429864 7.8560244
## french bread 9.9710013 9.8213444 9.6519425 9.8319702
## pancakes 5.9598986 5.8105047 5.6682972 5.8901266
## cheese 14.4649083 14.3988067 14.3420537 14.4306517
## beef 11.9527187 11.6798726 11.4345619 11.6474221
## chicken 9.4589770 9.2384011 9.0128683 9.1170487
## bacon 12.5846871 12.7050844 12.7257908 12.7751650
## hamburger 6.2372280 6.0593316 5.8739002 6.1754545
## french fries 7.3561051 7.0372232 6.6916372 7.1678720
## pizza 7.5530884 7.4075938 7.2202552 7.4345349
## hotdog 7.2412043 7.1146798 6.9713875 7.1637335
## taco 6.1489752 5.9998464 5.7864809 6.0421900
## burrito 5.7222088 5.4929814 5.2323273 5.5029502
## popcorn 11.0238585 10.8659223 10.7264845 11.0751822
## rice crackers 13.1186904 12.8338711 12.6831200 12.9658045
## rice 3.0891949 2.9774459 2.9743548 3.0352818
## spaghetti 4.6950782 4.6646424 4.6039024 4.6495050
## fried shrimp 6.8613439 6.8553099 6.7348884 6.7613720
## ice cream 9.1050882 9.0277303 8.9466915 9.0307289
## doughnut 6.6414681 6.5799423 6.4314754 6.6840132
## cookie 6.5576267 6.4989924 6.3225448 6.6649096
## cake 8.1264713 8.0832124 7.7883174 7.8369282
## chocolate bar 7.6828483 7.6272588 7.4583715 7.7057380
## candy 6.1399717 6.2885802 6.3535448 6.3670239
## custard flan 4.5701090 4.4360863 4.3709847 4.5007381
## honey 6.6678393 6.7152126 6.7453937 6.8022846
## milk 2.6967936 2.3979587 2.2771959 2.5009975
## black tea 0.9271251 0.7876537 1.1374947 0.7913647
## sake 0.7072495 1.1191343 0.8727851
## champagne 0.7072495 0.5617202 0.7608235
## red wine 1.1191343 0.5617202 0.9921769
## beer 0.8727851 0.7608235 0.9921769