Calculate all pairwise Euclidean distances between points.
Value
If
xis a single matrix: returns a named numeric vector of distancesIf
xis a list: returns a list of named numeric vectorsIf
xis a tibble: returns a list of named numeric vectors extracted from coo column
Details
Computes all pairwise Euclidean distances between points using dist().
Returns a named vector where names are "i-j" indicating the point pair.
For a shape with n points, returns n*(n-1)/2 distances.
This is a vector, not a scalar, so cannot be used with measure().
Examples
get_truss(shapes$cat)
#> 1-2 1-3 1-4 1-5 1-6 1-7 1-8
#> 7.211103 6.000000 10.000000 16.643317 19.646883 19.000000 20.880613
#> 1-9 1-10 1-11 1-12 1-13 1-14 1-15
#> 23.323808 26.907248 30.610456 35.510562 40.706265 46.097722 51.623638
#> 1-16 1-17 1-18 1-19 1-20 1-21 1-22
#> 56.920998 60.745370 63.560994 63.631753 62.201286 58.796258 55.901699
#> 1-23 1-24 1-25 1-26 1-27 1-28 1-29
#> 52.801515 50.249378 47.423623 44.271887 41.773197 40.049969 40.112342
#> 1-30 1-31 1-32 1-33 1-34 1-35 1-36
#> 43.737855 47.042534 49.162994 51.971146 54.405882 57.384667 59.941638
#> 1-37 1-38 1-39 1-40 1-41 1-42 1-43
#> 62.968246 65.604878 68.680419 70.724819 73.246160 75.166482 75.591005
#> 1-44 1-45 1-46 1-47 1-48 1-49 1-50
#> 75.769387 73.681748 72.034714 68.883960 65.192024 64.007812 64.381674
#> 1-51 1-52 1-53 1-54 1-55 1-56 1-57
#> 66.098411 68.410526 70.228199 73.409809 76.059187 79.075913 81.608823
#> 1-58 1-59 1-60 1-61 1-62 1-63 1-64
#> 85.276022 87.726849 89.872131 92.455395 95.210294 97.943861 100.647901
#> 1-65 1-66 1-67 1-68 1-69 1-70 1-71
#> 103.469802 104.062481 104.120123 105.536723 109.329776 114.629839 120.337027
#> 1-72 1-73 1-74 1-75 1-76 1-77 1-78
#> 125.323581 131.244047 137.131324 143.031465 148.030402 152.266214 158.455041
#> 1-79 1-80 1-81 1-82 1-83 1-84 1-85
#> 164.778639 170.299736 165.894545 160.124951 155.193428 151.608047 149.906638
#> 1-86 1-87 1-88 1-89 1-90 1-91 1-92
#> 147.258277 143.892321 141.739197 135.768185 128.751699 122.065556 116.387285
#> 1-93 1-94 1-95 1-96 1-97 1-98 1-99
#> 110.679718 106.282642 101.019800 95.462034 89.961103 84.528102 78.262379
#> 1-100 1-101 1-102 1-103 1-104 1-105 1-106
#> 71.112587 63.976558 57.271284 50.990195 45.177428 40.816663 35.805028
#> 1-107 1-108 1-109 1-110 1-111 1-112 1-113
#> 31.144823 27.018512 23.706539 22.561028 24.000000 30.066593 32.756679
#> 1-114 1-115 1-116 1-117 1-118 1-119 1-120
#> 32.695565 29.410882 25.495098 19.849433 12.041595 5.000000 3.605551
#> 2-3 2-4 2-5 2-6 2-7 2-8 2-9
#> 4.000000 10.198039 15.264338 15.811388 13.601471 14.142136 16.124515
#> 2-10 2-11 2-12 2-13 2-14 2-15 2-16
#> 19.798990 23.853721 29.068884 34.539832 40.162171 45.880279 51.419841
#> 2-17 2-18 2-19 2-20 2-21 2-22 2-23
#> 55.081757 57.584720 57.245087 55.470713 51.855569 48.795492 45.607017
#> 2-24 2-25 2-26 2-27 2-28 2-29 2-30
#> 43.046487 40.311289 37.363083 35.227830 34.058773 34.713110 38.897301
#> 2-31 2-32 2-33 2-34 2-35 2-36 2-37
#> 41.436699 43.000000 45.398238 47.539457 50.328918 52.773099 55.758407
#> 2-38 2-39 2-40 2-41 2-42 2-43 2-44
#> 58.412327 61.554854 63.702433 66.400301 68.600292 69.354164 69.892775
#> 2-45 2-46 2-47 2-48 2-49 2-50 2-51
#> 68.154237 66.910388 64.195015 61.008196 60.406953 61.392182 63.600314
#> 2-52 2-53 2-54 2-55 2-56 2-57 2-58
#> 66.483081 68.876701 72.560320 75.716577 79.202273 82.219219 86.278618
#> 2-59 2-60 2-61 2-62 2-63 2-64 2-65
#> 89.196412 91.831367 94.868330 97.943861 101.118742 104.278473 107.563934
#> 2-66 2-67 2-68 2-69 2-70 2-71 2-72
#> 108.521887 108.908218 110.643572 114.738834 120.266371 126.099167 131.095385
#> 2-73 2-74 2-75 2-76 2-77 2-78 2-79
#> 137.058382 143.013985 149.003356 154.159009 158.533908 164.778639 171.172428
#> 2-80 2-81 2-82 2-83 2-84 2-85 2-86
#> 176.776695 172.455791 166.721324 161.805439 158.268759 156.678014 154.120083
#> 2-87 2-88 2-89 2-90 2-91 2-92 2-93
#> 150.840976 148.761554 142.804062 135.768185 129.027129 123.328829 117.652029
#> 2-94 2-95 2-96 2-97 2-98 2-99 2-100
#> 113.296072 108.078675 102.552426 97.082439 91.678787 85.422479 78.262379
#> 2-101 2-102 2-103 2-104 2-105 2-106 2-107
#> 71.112587 64.404969 58.137767 52.354560 48.020829 43.011626 38.288379
#> 2-108 2-109 2-110 2-111 2-112 2-113 2-114
#> 33.970576 30.232433 28.231188 28.635642 34.234486 36.013886 34.713110
#> 2-115 2-116 2-117 2-118 2-119 2-120 3-4
#> 30.083218 25.495098 19.235384 12.369317 8.544004 10.816654 6.324555
#> 3-5 3-6 3-7 3-8 3-9 3-10 3-11
#> 12.041595 13.928388 13.000000 15.231546 18.439089 22.803509 27.294688
#> 3-12 3-13 3-14 3-15 3-16 3-17 3-18
#> 32.695565 38.275318 43.965896 49.729267 55.317267 58.940648 61.351447
#> 3-19 3-20 3-21 3-22 3-23 3-24 3-25
#> 60.835845 58.830264 55.000000 51.662365 48.166378 45.221676 42.059482
#> 3-26 3-27 3-28 3-29 3-30 3-31 3-32
#> 38.626416 35.902646 34.058773 34.132096 37.854986 41.048752 43.185646
#> 3-33 3-34 3-35 3-36 3-37 3-38 3-39
#> 46.097722 48.703183 51.894123 54.708317 58.008620 60.959003 64.350602
#> 3-40 3-41 3-42 3-43 3-44 3-45 3-46
#> 66.708320 69.634761 72.069411 73.006849 73.681748 72.034714 70.859015
#> 3-47 3-48 3-49 3-50 3-51 3-52 3-53
#> 68.183576 65.007692 64.381674 65.306967 67.446275 70.228199 72.498276
#> 3-54 3-55 3-56 3-57 3-58 3-59 3-60
#> 76.059187 79.075913 82.419658 85.276022 89.196412 91.934759 94.366308
#> 3-61 3-62 3-63 3-64 3-65 3-66 3-67
#> 97.200823 100.124922 103.077641 105.990566 109.004587 109.731490 109.895405
#> 3-68 3-69 3-70 3-71 3-72 3-73 3-74
#> 111.400180 115.260574 120.598507 126.321020 131.308796 137.233378 143.125819
#> 3-75 3-76 3-77 3-78 3-79 3-80 3-81
#> 149.030198 154.029218 158.256122 164.438438 170.751281 176.255496 171.828403
#> 3-82 3-83 3-84 3-85 3-86 3-87 3-88
#> 166.048186 161.111762 157.508730 155.756220 153.052279 149.616176 147.383853
#> 3-89 3-90 3-91 3-92 3-93 3-94 3-95
#> 141.396605 134.406101 127.781063 122.122889 116.387285 111.946416 106.625513
#> 3-96 3-97 3-98 3-99 3-100 3-101 3-102
#> 101.019800 95.462034 89.961103 83.671979 76.557168 69.462220 62.769419
#> 3-103 3-104 3-105 3-106 3-107 3-108 3-109
#> 56.462377 50.566788 46.065171 40.816663 35.805028 31.144823 27.018512
#> 3-110 3-111 3-112 3-113 3-114 3-115 3-116
#> 24.596748 24.738634 30.265492 32.015621 30.805844 26.400758 21.954498
#> 3-117 3-118 3-119 3-120 4-5 4-6 4-7
#> 15.811388 8.544004 5.000000 9.219544 6.708204 11.045361 12.529964
#> 4-8 4-9 4-10 4-11 4-12 4-13 4-14
#> 16.970563 21.633308 26.832816 31.953091 37.643060 43.416587 49.244289
#> 4-15 4-16 4-17 4-18 4-19 4-20 4-21
#> 55.108983 60.827625 64.327288 66.483081 65.551506 63.063460 58.830264
#> 4-22 4-23 4-24 4-25 4-26 4-27 4-28
#> 55.000000 50.990195 47.423623 43.600459 39.446166 35.846897 32.984845
#> 4-29 4-30 4-31 4-32 4-33 4-34 4-35
#> 32.140317 35.057096 39.204592 42.201896 45.880279 49.193496 53.000000
#> 4-36 4-37 4-38 4-39 4-40 4-41 4-42
#> 56.400355 60.207973 63.655322 67.475922 70.213959 73.573093 76.485293
#> 4-43 4-44 4-45 4-46 4-47 4-48 4-49
#> 77.833155 78.847955 77.466122 76.531039 74.060786 71.063352 70.576200
#> 4-50 4-51 4-52 4-53 4-54 4-55 4-56
#> 71.589105 73.763134 76.550637 78.790862 82.298238 85.234969 88.481637
#> 4-57 4-58 4-59 4-60 4-61 4-62 4-63
#> 91.214034 95.015788 97.590983 99.824847 102.449988 105.209315 107.912001
#> 4-64 4-65 4-66 4-67 4-68 4-69 4-70
#> 110.535062 113.216607 113.652981 113.529732 114.725760 118.258192 123.320720
#> 4-71 4-72 4-73 4-74 4-75 4-76 4-77
#> 128.875909 133.843192 139.703257 145.495704 151.267974 156.028843 160.028123
#> 4-78 4-79 4-80 4-81 4-82 4-83 4-84
#> 166.108398 172.290452 177.634456 173.046237 167.200478 162.237480 158.533908
#> 4-85 4-86 4-87 4-88 4-89 4-90 4-91
#> 156.524758 153.587109 149.896631 147.410990 141.382460 134.480482 128.062485
#> 4-92 4-93 4-94 4-95 4-96 4-97 4-98
#> 122.482652 116.661905 112.089250 106.606754 100.881118 95.189285 89.537702
#> 4-99 4-100 4-101 4-102 4-103 4-104 4-105
#> 83.216585 76.216796 69.260378 62.641839 56.320511 50.289164 45.541190
#> 4-106 4-107 4-108 4-109 4-110 4-111 4-112
#> 39.924930 34.438351 29.154759 24.207437 20.615528 19.697716 24.738634
#> 4-113 4-114 4-115 4-116 4-117 4-118 4-119
#> 26.019224 24.515301 20.124612 15.811388 9.899495 2.236068 5.385165
#> 4-120 5-6 5-7 5-8 5-9 5-10 5-11
#> 11.704700 6.403124 10.295630 16.155494 21.840330 27.658633 33.376639
#> 5-12 5-13 5-14 5-15 5-16 5-17 5-18
#> 39.319207 45.276926 51.244512 57.218878 63.126856 66.370174 68.066144
#> 5-19 5-20 5-21 5-22 5-23 5-24 5-25
#> 66.483081 63.324561 58.600341 54.203321 49.648766 45.453273 41.012193
#> 5-26 5-27 5-28 5-29 5-30 5-31 5-32
#> 36.235342 31.906112 28.231188 26.683328 29.017236 33.734256 37.336309
#> 5-33 5-34 5-35 5-36 5-37 5-38 5-39
#> 41.593269 45.486262 49.819675 53.758720 58.051701 62.008064 66.287254
#> 5-40 5-41 5-42 5-43 5-44 5-45 5-46
#> 69.462220 73.348483 76.896034 78.847955 80.411442 79.511006 79.056942
#> 5-47 5-48 5-49 5-50 5-51 5-52 5-53
#> 77.058419 74.545288 74.525164 75.960516 78.434686 81.541401 84.077345
#> 5-54 5-55 5-56 5-57 5-58 5-59 5-60
#> 87.817994 90.972523 94.403390 97.308787 101.237345 103.947102 106.301458
#> 5-61 5-62 5-63 5-64 5-65 5-66 5-67
#> 109.018347 111.830228 114.586212 117.239072 119.920807 120.332872 120.166551
#> 5-68 5-69 5-70 5-71 5-72 5-73 5-74
#> 121.297156 124.739729 129.711218 135.203550 140.160622 145.993151 151.743204
#> 5-75 5-76 5-77 5-78 5-79 5-80 5-81
#> 157.457931 162.111073 166.000000 172.026161 178.137587 183.393021 178.717654
#> 5-82 5-83 5-84 5-85 5-86 5-87 5-88
#> 172.838075 167.863039 164.103626 161.941347 158.858428 155.003226 152.345003
#> 5-89 5-90 5-91 5-92 5-93 5-94 5-95
#> 146.294224 139.463257 133.195345 127.675370 121.807225 117.153745 111.570605
#> 5-96 5-97 5-98 5-99 5-100 5-101 5-102
#> 105.773343 100.000000 94.254973 87.931792 81.043198 74.215901 67.683085
#> 5-103 5-104 5-105 5-106 5-107 5-108 5-109
#> 61.392182 55.317267 50.447993 44.643029 38.897301 33.241540 27.730849
#> 5-110 5-111 5-112 5-113 5-114 5-115 5-116
#> 23.021729 20.518285 24.186773 24.041631 21.023796 15.297059 10.440307
#> 5-117 5-118 5-119 5-120 6-7 6-8 6-9
#> 4.123106 5.099020 12.083046 18.384776 5.000000 11.045361 17.029386
#> 6-10 6-11 6-12 6-13 6-14 6-15 6-16
#> 23.021729 29.000000 35.000000 41.000000 47.000000 53.000000 59.008474
#> 6-17 6-18 6-19 6-20 6-21 6-22 6-23
#> 62.032250 63.387696 61.392182 57.870545 52.924474 48.301139 43.566042
#> 6-24 6-25 6-26 6-27 6-28 6-29 6-30
#> 39.204592 34.655447 29.832868 25.553865 22.135944 21.095023 24.186773
#> 6-31 6-32 6-33 6-34 6-35 6-36 6-37
#> 28.160256 31.320920 35.341194 39.115214 43.416587 47.381431 51.739733
#> 6-38 6-39 6-40 6-41 6-42 6-43 6-44
#> 55.803226 60.207973 63.529521 67.623960 71.470274 73.756356 75.663730
#> 6-45 6-46 6-47 6-48 6-49 6-50 6-51
#> 75.106591 75.026662 73.437048 71.386273 71.840100 73.736016 76.557168
#> 6-52 6-53 6-54 6-55 6-56 6-57 6-58
#> 80.062476 83.006024 87.091905 90.603532 94.366308 97.621719 101.833197
#> 6-59 6-60 6-61 6-62 6-63 6-64 6-65
#> 104.890419 107.615055 110.679718 113.740934 116.846053 119.866593 122.930875
#> 6-66 6-67 6-68 6-69 6-70 6-71 6-72
#> 123.648696 123.761868 125.171882 128.891427 134.082064 139.703257 144.678955
#> 6-73 6-74 6-75 6-76 6-77 6-78 6-79
#> 150.562279 156.387340 162.197411 167.011976 171.046777 177.138364 183.330303
#> 6-80 6-81 6-82 6-83 6-84 6-85 6-86
#> 188.679623 184.089652 178.241409 173.277235 169.567096 167.529102 164.550904
#> 6-87 6-88 6-89 6-90 6-91 6-92 6-93
#> 160.801119 158.240324 152.200526 145.330657 138.974818 133.416641 127.577427
#> 6-94 6-95 6-96 6-97 6-98 6-99 6-100
#> 122.971541 117.443603 111.682586 105.948101 100.244701 93.920179 86.977008
#> 6-101 6-102 6-103 6-104 6-105 6-106 6-107
#> 80.081209 73.498299 67.186308 61.131007 56.320511 50.596443 44.944410
#> 6-108 6-109 6-110 6-111 6-112 6-113 6-114
#> 39.395431 34.000000 29.410882 26.870058 30.232433 29.546573 25.709920
#> 6-115 6-116 6-117 6-118 6-119 6-120 7-8
#> 19.104973 14.142136 8.944272 10.440307 16.031220 22.203603 6.082763
#> 7-9 7-10 7-11 7-12 7-13 7-14 7-15
#> 12.041595 18.027756 24.000000 30.000000 36.000000 42.000000 48.000000
#> 7-16 7-17 7-18 7-19 7-20 7-21 7-22
#> 54.009258 57.035077 58.420887 56.515485 53.141321 48.332184 43.908997
#> 7-23 7-24 7-25 7-26 7-27 7-28 7-29
#> 39.408121 35.383612 31.240999 26.925824 23.409400 21.095023 21.213203
#> 7-30 7-31 7-32 7-33 7-34 7-35 7-36
#> 25.298221 28.071338 30.265492 33.526109 36.674242 40.496913 44.045431
#> 7-37 7-38 7-39 7-40 7-41 7-42 7-43
#> 48.083261 51.855569 56.035703 59.169249 63.071388 66.730802 68.883960
#> 7-44 7-45 7-46 7-47 7-48 7-49 7-50
#> 70.710678 70.114193 70.028566 68.468971 66.490601 67.052218 69.079664
#> 7-51 7-52 7-53 7-54 7-55 7-56 7-57
#> 72.013888 75.663730 78.771822 83.006024 86.683332 90.609050 94.047860
#> 7-58 7-59 7-60 7-61 7-62 7-63 7-64
#> 98.412398 101.671038 104.623133 107.912001 111.139552 114.490174 117.783700
#> 7-65 7-66 7-67 7-68 7-69 7-70 7-71
#> 121.148669 122.122889 122.482652 124.149104 128.132744 133.540256 139.291062
#> 7-72 7-73 7-74 7-75 7-76 7-77 7-78
#> 144.280976 150.213182 156.115342 162.027775 167.026944 171.236678 177.406313
#> 7-79 7-80 7-81 7-82 7-83 7-84 7-85
#> 183.698122 189.169236 184.699756 178.899413 173.954017 170.317351 168.466614
#> 7-86 7-87 7-88 7-89 7-90 7-91 7-92
#> 165.656271 162.086397 159.702849 153.687996 146.751491 140.246212 134.629120
#> 7-93 7-94 7-95 7-96 7-97 7-98 7-99
#> 128.844868 124.326184 118.903322 113.216607 107.563934 101.950969 95.634722
#> 7-100 7-101 7-102 7-103 7-104 7-105 7-106
#> 88.600226 81.596569 74.946648 68.622154 62.625873 57.939624 52.392748
#> 7-107 7-108 7-109 7-110 7-111 7-112 7-113
#> 46.957428 41.677332 36.619667 32.557641 30.610456 34.481879 34.176015
#> 7-114 7-115 7-116 7-117 7-118 7-119 7-120
#> 30.594117 24.083189 19.104973 13.601471 12.806248 16.492423 22.090722
#> 8-9 8-10 8-11 8-12 8-13 8-14 8-15
#> 6.000000 12.000000 18.027756 24.020824 30.016662 36.013886 42.011903
#> 8-16 8-17 8-18 8-19 8-20 8-21 8-22
#> 48.041649 51.009803 52.345009 50.447993 47.169906 42.485292 38.275318
#> 8-23 8-24 8-25 8-26 8-27 8-28 8-29
#> 34.058773 30.479501 26.925824 23.409400 21.095023 20.396078 21.931712
#> 8-30 8-31 8-32 8-33 8-34 8-35 8-36
#> 26.925824 28.160256 29.068884 31.256999 33.526109 36.674242 39.661064
#> 8-37 8-38 8-39 8-40 8-41 8-42 8-43
#> 43.278170 46.690470 50.606324 53.535035 57.245087 60.745370 62.817195
#> 8-44 8-45 8-46 8-47 8-48 8-49 8-50
#> 64.629715 64.070274 64.070274 62.649820 60.876925 61.684682 63.976558
#> 8-51 8-52 8-53 8-54 8-55 8-56 8-57
#> 67.119297 71.021124 74.404301 78.873316 82.807005 86.977008 90.686272
#> 8-58 8-59 8-60 8-61 8-62 8-63 8-64
#> 95.268043 98.812955 102.083299 105.678759 109.128365 112.805142 116.456000
#> 8-65 8-66 8-67 8-68 8-69 8-70 8-71
#> 120.208153 121.511316 122.184287 124.169239 128.471787 134.134261 140.032139
#> 8-72 8-73 8-74 8-75 8-76 8-77 8-78
#> 145.031031 151.013244 157.000000 163.027605 168.240899 172.652831 178.907797
#> 8-79 8-80 8-81 8-82 8-83 8-84 8-85
#> 185.310550 190.918831 186.593140 180.853532 175.934647 172.386194 170.751281
#> 8-86 8-87 8-88 8-89 8-90 8-91 8-92
#> 168.133875 164.769536 162.585362 156.604598 149.602807 142.940547 137.266165
#> 8-93 8-94 8-95 8-96 8-97 8-98 8-99
#> 131.552271 127.137721 121.840059 116.245430 110.693270 105.190304 98.898938
#> 8-100 8-101 8-102 8-103 8-104 8-105 8-106
#> 91.787799 84.693565 78.000000 71.693793 65.795137 61.269895 55.946403
#> 8-107 8-108 8-109 8-110 8-111 8-112 8-113
#> 50.774009 45.803930 41.109610 37.536649 36.055513 40.249224 40.162171
#> 8-114 8-115 8-116 8-117 8-118 8-119 8-120
#> 36.674242 30.149627 25.179357 19.646883 17.804494 19.723083 24.351591
#> 9-10 9-11 9-12 9-13 9-14 9-15 9-16
#> 6.000000 12.041595 18.027756 24.020824 30.016662 36.013886 42.047592
#> 9-17 9-18 9-19 9-20 9-21 9-22 9-23
#> 45.011110 46.389654 44.643029 41.629317 37.215588 33.421550 29.732137
#> 9-24 9-25 9-26 9-27 9-28 9-29 9-30
#> 26.925824 24.351591 22.090722 21.377558 22.360680 25.000000 30.479501
#> 9-31 9-32 9-33 9-34 9-35 9-36 9-37
#> 30.413813 30.083218 31.064449 32.249031 34.481879 36.674242 39.661064
#> 9-38 9-39 9-40 9-41 9-42 9-43 9-44
#> 42.520583 46.010868 48.600412 51.971146 55.154329 57.008771 58.694122
#> 9-45 9-46 9-47 9-48 9-49 9-50 9-51
#> 58.077534 58.077534 56.718604 55.081757 56.080300 58.591808 61.911227
#> 9-52 9-53 9-54 9-55 9-56 9-57 9-58
#> 66.030296 69.656299 74.330344 78.492038 82.879430 86.833173 91.607860
#> 9-59 9-60 9-61 9-62 9-63 9-64 9-65
#> 95.414884 98.979796 102.859127 106.512910 110.494344 114.481440 118.600169
#> 9-66 9-67 9-68 9-69 9-70 9-71 9-72
#> 120.220631 121.198185 123.490890 128.097619 134.000000 140.032139 145.031031
#> 9-73 9-74 9-75 9-76 9-77 9-78 9-79
#> 151.052971 157.114608 163.248277 168.668314 173.277235 179.610690 186.118242
#> 9-80 9-81 9-82 9-83 9-84 9-85 9-86
#> 191.859323 187.683244 182.010989 177.124250 173.669226 172.255624 169.838158
#> 9-87 9-88 9-89 9-90 9-91 9-92 9-93
#> 166.688332 164.711870 158.773423 151.713546 144.899965 139.176147 133.544000
#> 9-94 9-95 9-96 9-97 9-98 9-99 9-100
#> 129.243955 124.084649 118.595953 113.159180 107.782188 101.533246 94.366308
#> 9-101 9-102 9-103 9-104 9-105 9-106 9-107
#> 87.206651 80.498447 74.242845 68.476273 64.140471 59.076222 54.203321
#> 9-108 9-109 9-110 9-111 9-112 9-113 9-114
#> 49.578221 45.276926 42.201896 41.182521 45.694639 45.880279 42.579338
#> 9-115 9-116 9-117 9-118 9-119 9-120 10-11
#> 36.124784 31.144823 25.495098 22.825424 23.345235 26.925824 6.082763
#> 10-12 10-13 10-14 10-15 10-16 10-17 10-18
#> 12.041595 18.027756 24.020824 30.016662 36.055513 39.012818 40.447497
#> 10-19 10-20 10-21 10-22 10-23 10-24 10-25
#> 38.897301 36.235342 32.202484 29.000000 26.076810 24.351591 23.086793
#> 10-26 10-27 10-28 10-29 10-30 10-31 10-32
#> 22.360680 23.259407 25.612497 29.000000 34.713110 33.600595 32.202484
#> 10-33 10-34 10-35 10-36 10-37 10-38 10-39
#> 32.015621 32.062439 33.241540 34.481879 36.674242 38.832976 41.773197
#> 10-40 10-41 10-42 10-43 10-44 10-45 10-46
#> 43.931765 46.872167 49.658836 51.244512 52.773099 52.086467 52.086467
#> 10-47 10-48 10-49 10-50 10-51 10-52 10-53
#> 50.803543 49.335586 50.566788 53.338541 56.859476 61.220911 65.115282
#> 10-54 10-55 10-56 10-57 10-58 10-59 10-60
#> 70.007142 74.411021 79.025312 83.234608 88.204308 92.282176 96.150923
#> 10-61 10-62 10-63 10-64 10-65 10-66 10-67
#> 100.319490 104.177733 108.466585 112.791844 117.277449 119.218287 120.503112
#> 10-68 10-69 10-70 10-71 10-72 10-73 10-74
#> 123.101584 128.003906 134.134261 140.288987 145.279042 151.330764 157.457931
#> 10-75 10-76 10-77 10-78 10-79 10-80 10-81
#> 163.688729 169.307413 174.106289 180.510388 187.114938 192.981864 188.957667
#> 10-82 10-83 10-84 10-85 10-86 10-87 10-88
#> 183.357574 178.507703 175.148508 173.954017 171.735261 168.798697 167.026944
#> 10-89 10-90 10-91 10-92 10-93 10-94 10-95
#> 161.136588 154.029218 147.078210 141.315250 135.771867 131.590273 126.574089
#> 10-96 10-97 10-98 10-99 10-100 10-101 10-102
#> 121.198185 115.883562 110.639053 104.446158 97.247108 90.049986 83.354664
#> 10-103 10-104 10-105 10-106 10-107 10-108 10-109
#> 77.175126 71.561163 67.424031 62.625873 58.051701 53.758720 49.819675
#> 10-110 10-111 10-112 10-113 10-114 10-115 10-116
#> 47.169906 46.518813 51.264022 51.662365 48.507731 42.107007 37.121422
#> 10-117 10-118 10-119 10-120 11-12 11-13 11-14
#> 31.400637 28.231188 27.802878 30.479501 6.000000 12.000000 18.000000
#> 11-15 11-16 11-17 11-18 11-19 11-20 11-21
#> 24.000000 30.016662 33.060551 34.713110 33.615473 31.622777 28.284271
#> 11-22 11-23 11-24 11-25 11-26 11-27 11-28
#> 26.076810 24.351591 24.083189 24.331050 25.079872 27.202941 30.413813
#> 11-29 11-30 11-31 11-32 11-33 11-34 11-35
#> 34.205263 40.000000 38.209946 36.055513 34.928498 33.955854 34.058773
#> 11-36 11-37 11-38 11-39 11-40 11-41 11-42
#> 34.234486 35.440090 36.674242 38.832976 40.360872 42.638011 44.777226
#> 11-43 11-44 11-45 11-46 11-47 11-48 11-49
#> 45.880279 47.074409 46.173586 46.043458 44.721360 43.324358 44.721360
#> 11-50 11-51 11-52 11-53 11-54 11-55 11-56
#> 47.707442 51.400389 55.973208 60.108236 65.192024 69.814039 74.632433
#> 11-57 11-58 11-59 11-60 11-61 11-62 11-63
#> 79.075913 84.219950 88.549421 92.703829 97.144223 101.192885 105.773343
#> 11-64 11-65 11-66 11-67 11-68 11-69 11-70
#> 110.421918 115.260574 117.515956 119.104996 122.004098 127.192767 133.540256
#> 11-71 11-72 11-73 11-74 11-75 11-76 11-77
#> 139.807010 144.779142 150.850920 157.035028 163.355441 169.168555 174.155103
#> 11-78 11-79 11-80 11-81 11-82 11-83 11-84
#> 180.623919 187.320581 193.310631 189.446562 183.926616 179.120071 175.863583
#> 11-85 11-86 11-87 11-88 11-89 11-90 11-91
#> 174.897113 172.887246 170.176379 168.620877 162.788206 155.640612 148.556387
#> 11-92 11-93 11-94 11-95 11-96 11-97 11-98
#> 142.762040 137.320792 133.270402 128.413395 123.166554 117.991525 112.898184
#> 11-99 11-100 11-101 11-102 11-103 11-104 11-105
#> 106.780148 99.569072 92.357999 85.702975 79.630396 74.202426 70.292247
#> 11-106 11-107 11-108 11-109 11-110 11-111 11-112
#> 65.795137 61.554854 57.628118 54.083269 51.884487 51.623638 56.612719
#> 11-113 11-114 11-115 11-116 11-117 11-118 11-119
#> 57.271284 54.332311 48.041649 43.046487 37.215588 33.526109 32.249031
#> 11-120 12-13 12-14 12-15 12-16 12-17 12-18
#> 34.058773 6.000000 12.000000 18.000000 24.020824 27.073973 28.861739
#> 12-19 12-20 12-21 12-22 12-23 12-24 12-25
#> 28.178006 26.907248 24.413111 23.409400 23.086793 24.331050 26.000000
#> 12-26 12-27 12-28 12-29 12-30 12-31 12-32
#> 28.017851 31.112698 35.000000 39.115214 44.944410 42.520583 39.698866
#> 12-33 12-34 12-35 12-36 12-37 12-38 12-39
#> 37.735925 35.846897 34.928498 34.058773 34.234486 34.481879 35.777088
#> 12-40 12-41 12-42 12-43 12-44 12-45 12-46
#> 36.619667 38.183766 39.661064 40.311289 41.231056 40.199502 40.049969
#> 12-47 12-48 12-49 12-50 12-51 12-52 12-53
#> 38.832976 37.696154 39.446166 42.801869 46.754679 51.623638 56.080300
#> 12-54 12-55 12-56 12-57 12-58 12-59 12-60
#> 61.400326 66.287254 71.344236 76.059187 81.394103 86.005814 90.476516
#> 12-61 12-62 12-63 12-64 12-65 12-66 12-67
#> 95.210294 99.458534 104.345580 109.329776 114.529472 117.106789 119.004202
#> 12-68 12-69 12-70 12-71 12-72 12-73 12-74
#> 122.200655 127.663621 134.212518 140.577381 145.523194 151.604749 157.835357
#> 12-75 12-76 12-77 12-78 12-79 12-80 12-81
#> 164.234588 170.229257 175.390992 181.914815 188.692872 194.794764 191.086368
#> 12-82 12-83 12-84 12-85 12-86 12-87 12-88
#> 185.647515 180.886705 177.730133 176.977400 175.162781 172.661519 171.303824
#> 12-89 12-90 12-91 12-92 12-93 12-94 12-95
#> 165.529454 158.354034 151.158857 145.344419 140.003571 136.077184 131.369707
#> 12-96 12-97 12-98 12-99 12-100 12-101 12-102
#> 126.245792 121.202310 116.249731 110.208893 103.004854 95.801879 89.202018
#> 12-103 12-104 12-105 12-106 12-107 12-108 12-109
#> 83.240615 77.987178 74.276510 70.035705 66.068147 62.425956 59.169249
#> 12-110 12-111 12-112 12-113 12-114 12-115 12-116
#> 57.271284 57.245087 62.361847 63.150614 60.299254 54.037024 49.040799
#> 12-117 12-118 12-119 12-120 13-14 13-15 13-16
#> 43.185646 39.293765 37.576588 38.832976 6.000000 12.000000 18.027756
#> 13-17 13-18 13-19 13-20 13-21 13-22 13-23
#> 21.095023 23.086793 23.021729 22.803509 21.540659 22.090722 23.345235
#> 13-24 13-25 13-26 13-27 13-28 13-29 13-30
#> 26.000000 28.844410 31.827661 35.608988 39.962482 44.294469 50.119856
#> 13-31 13-32 13-33 13-34 13-35 13-36 13-37
#> 47.201695 43.863424 41.231056 38.587563 36.769553 34.928498 34.058773
#> 13-38 13-39 13-40 13-41 13-42 13-43 13-44
#> 33.241540 33.526109 33.541020 34.205263 34.828150 34.885527 35.440090
#> 13-45 13-46 13-47 13-48 13-49 13-50 13-51
#> 34.234486 34.058773 32.984845 32.202484 34.409301 38.209946 42.449971
#> 13-52 13-53 13-54 13-55 13-56 13-57 13-58
#> 47.634021 52.430907 57.982756 63.134776 68.425142 73.409809 78.924014
#> 13-59 13-60 13-61 13-62 13-63 13-64 13-65
#> 83.815273 88.600226 93.621579 98.061205 103.247276 108.558740 114.109596
#> 13-66 13-67 13-68 13-69 13-70 13-71 13-72
#> 117.004273 119.205705 122.690668 128.413395 135.148067 141.598023 146.509385
#> 13-73 13-74 13-75 13-76 13-77 13-78 13-79
#> 152.590956 158.858428 165.326949 171.493440 176.821944 183.393021 190.244579
#> 13-80 13-81 13-82 13-83 13-84 13-85 13-86
#> 196.451012 192.898937 187.544661 182.833257 179.777640 179.234483 177.611937
#> 13-87 13-88 13-89 13-90 13-91 13-92 13-93
#> 175.316856 174.152232 168.439900 161.245155 153.951291 148.124947 142.888068
#> 13-94 13-95 13-96 13-97 13-98 13-99 13-100
#> 139.086304 134.528807 129.529919 124.619421 119.808180 113.850780 106.667708
#> 13-101 13-102 13-103 13-104 13-105 13-106 13-107
#> 99.488693 92.956979 87.114867 82.036577 78.517514 74.518454 70.802542
#> 13-108 13-109 13-110 13-111 13-112 13-113 13-114
#> 67.416615 64.412732 62.769419 62.936476 68.154237 69.050706 66.272166
#> 13-115 13-116 13-117 13-118 13-119 13-120 14-15
#> 60.033324 55.036352 49.162994 45.122057 43.081318 43.908997 6.000000
#> 14-16 14-17 14-18 14-19 14-20 14-21 14-22
#> 12.041595 15.132746 17.464249 18.384776 19.697716 20.099751 22.360680
#> 14-23 14-24 14-25 14-26 14-27 14-28 14-29
#> 25.079872 28.844410 32.557641 36.235342 40.496913 45.177428 49.658836
#> 14-30 14-31 14-32 14-33 14-34 14-35 14-36
#> 55.461698 52.153619 48.414874 45.254834 42.011903 39.446166 36.769553
#> 14-37 14-38 14-39 14-40 14-41 14-42 14-43
#> 34.928498 33.060551 32.249031 31.320920 30.886890 30.413813 29.681644
#> 14-44 14-45 14-46 14-47 14-48 14-49 14-50
#> 29.732137 28.284271 28.071338 27.202941 26.925824 29.732137 34.058773
#> 14-51 14-52 14-53 14-54 14-55 14-56 14-57
#> 38.600518 44.102154 49.244289 55.009090 60.415230 65.924199 71.168813
#> 14-58 14-59 14-60 14-61 14-62 14-63 14-64
#> 76.843998 82.006097 87.097646 92.395887 97.015463 102.489024 108.115679
#> 14-65 14-66 14-67 14-68 14-69 14-70 14-71
#> 114.004386 117.209215 119.707978 123.470644 129.437243 136.341483 142.863571
#> 14-72 14-73 14-74 14-75 14-76 14-77 14-78
#> 147.732867 153.805071 160.099969 166.628329 172.956642 178.443268 185.054046
#> 14-79 14-80 14-81 14-82 14-83 14-84 14-85
#> 191.971352 198.275061 194.879450 189.612763 184.954048 182.000000 181.661774
#> 14-86 14-87 14-88 14-89 14-90 14-91 14-92
#> 180.227634 178.134780 177.158121 171.510933 164.304595 156.923548 151.092687
#> 14-93 14-94 14-95 14-96 14-97 14-98 14-99
#> 145.962324 142.284925 137.876757 133.003759 128.226362 123.555655 117.686023
#> 14-100 14-101 14-102 14-103 14-104 14-105 14-106
#> 110.535062 103.392456 96.938125 91.219515 86.313383 82.975900 79.202273
#> 14-107 14-108 14-109 14-110 14-111 14-112 14-113
#> 75.716577 72.560320 69.778220 68.352030 68.680419 73.979727 74.966659
#> 14-114 14-115 14-116 14-117 14-118 14-119 14-120
#> 72.249567 66.030296 61.032778 55.145263 50.990195 48.703183 49.193496
#> 15-16 15-17 15-18 15-19 15-20 15-21 15-22
#> 6.082763 9.219544 12.206556 14.764823 18.110770 20.396078 24.166092
#> 15-23 15-24 15-25 15-26 15-27 15-28 15-29
#> 28.017851 32.557641 36.878178 41.048752 45.650849 50.566788 55.154329
#> 15-30 15-31 15-32 15-33 15-34 15-35 15-36
#> 60.926185 57.306195 53.254108 49.678969 45.967380 42.801869 39.446166
#> 15-37 15-38 15-39 15-40 15-41 15-42 15-43
#> 36.769553 33.955854 32.062439 30.149627 28.460499 26.627054 24.839485
#> 15-44 15-45 15-46 15-47 15-48 15-49 15-50
#> 24.166092 22.360680 22.090722 21.540659 22.022716 25.612497 30.528675
#> 15-51 15-52 15-53 15-54 15-55 15-56 15-57
#> 35.355339 41.146081 46.615448 52.554733 58.189346 63.890531 69.375788
#> 15-58 15-59 15-60 15-61 15-62 15-63 15-64
#> 75.186435 80.603970 85.988371 91.547802 96.332757 102.078401 108.004630
#> 15-65 15-66 15-67 15-68 15-69 15-70 15-71
#> 114.214710 117.720007 120.507261 124.535136 130.728727 137.786066 144.367586
#> 15-72 15-73 15-74 15-75 15-76 15-77 15-78
#> 149.187801 155.241747 161.554944 168.133875 174.613860 180.249827 186.893018
#> 15-79 15-80 15-81 15-82 15-83 15-84 15-85
#> 193.868512 200.262328 197.022841 191.846293 187.243157 184.390889 184.252544
#> 15-86 15-87 15-88 15-89 15-90 15-91 15-92
#> 183.002732 181.107703 180.313616 174.734084 167.523133 160.065612 154.236831
#> 15-93 15-94 15-95 15-96 15-97 15-98 15-99
#> 149.214611 145.660564 141.400141 136.652845 132.007576 127.475488 121.696343
#> 15-100 15-101 15-102 15-103 15-104 15-105 15-106
#> 114.586212 107.489534 101.118742 95.524866 90.785461 87.618491 84.053554
#> 15-107 15-108 15-109 15-110 15-111 15-112 15-113
#> 80.777472 77.826731 75.239617 74.000000 74.464757 79.831072 80.894994
#> 15-114 15-115 15-116 15-117 15-118 15-119 15-120
#> 78.230429 72.027772 67.029844 61.131007 56.885851 54.405882 54.626001
#> 16-17 16-18 16-19 16-20 16-21 16-22 16-23
#> 4.242641 8.944272 14.035669 19.416488 23.259407 28.017851 32.557641
#> 16-24 16-25 16-26 16-27 16-28 16-29 16-30
#> 37.536649 42.201896 46.647615 51.429563 56.462377 61.098281 66.850580
#> 16-31 16-32 16-33 16-34 16-35 16-36 16-37
#> 63.063460 58.830264 55.000000 50.990195 47.423623 43.600459 40.311289
#> 16-38 16-39 16-40 16-41 16-42 16-43 16-44
#> 36.769553 33.955854 31.144823 28.160256 24.698178 21.400935 19.416488
#> 16-45 16-46 16-47 16-48 16-49 16-50 16-51
#> 16.763055 16.031220 15.652476 17.029386 21.470911 26.925824 31.953091
#> 16-52 16-53 16-54 16-55 16-56 16-57 16-58
#> 37.947332 43.680659 49.729267 55.542776 61.392182 67.082039 72.993150
#> 16-59 16-60 16-61 16-62 16-63 16-64 16-65
#> 78.638413 84.291162 90.088845 95.021050 101.019800 107.228727 113.745330
#> 16-66 16-67 16-68 16-69 16-70 16-71 16-72
#> 117.545736 120.619236 124.907966 131.320219 138.520757 145.151645 149.913308
#> 16-73 16-74 16-75 16-76 16-77 16-78 16-79
#> 155.939091 162.262134 168.884576 175.513532 181.298097 187.968082 194.997436
#> 16-80 16-81 16-82 16-83 16-84 16-85 16-86
#> 201.479527 198.406149 193.328736 188.788241 186.045693 186.118242 185.064853
#> 16-87 16-88 16-89 16-90 16-91 16-92 16-93
#> 183.382115 182.784026 177.282261 170.073514 162.542302 156.722685 151.822265
#> 16-94 16-95 16-96 16-97 16-98 16-99 16-100
#> 148.404852 144.308697 139.703257 135.207248 130.831953 125.159898 118.105885
#> 16-101 16-102 16-103 16-104 16-105 16-106 16-107
#> 111.072049 104.804580 99.357939 94.810337 91.836812 88.509886 85.475143
#> 16-108 16-109 16-110 16-111 16-112 16-113 16-114
#> 82.764727 80.411442 79.404030 80.049984 85.510233 86.700634 84.148678
#> 16-115 16-116 16-117 16-118 16-119 16-120 17-18
#> 78.006410 73.006849 67.067131 62.649820 59.908263 59.808026 5.099020
#> 17-19 17-20 17-21 17-22 17-23 17-24 17-25
#> 11.180340 17.464249 22.203603 27.586228 32.649655 38.013156 43.046487
#> 17-26 17-27 17-28 17-29 17-30 17-31 17-32
#> 47.853944 52.924474 58.189346 62.936476 68.622154 64.474801 59.941638
#> 17-33 17-34 17-35 17-36 17-37 17-38 17-39
#> 55.758407 51.400389 47.423623 43.185646 39.408121 35.355339 31.953091
#> 17-40 17-41 17-42 17-43 17-44 17-45 17-46
#> 28.635642 25.000000 20.880613 17.204651 15.264338 13.152946 13.601471
#> 17-47 17-48 17-49 17-50 17-51 17-52 17-53
#> 14.866069 17.888544 23.086793 28.861739 33.955854 40.024992 45.891176
#> 17-54 17-55 17-56 17-57 17-58 17-59 17-60
#> 51.971146 57.870545 63.788714 69.584481 75.538070 81.301906 87.091905
#> 17-61 17-62 17-63 17-64 17-65 17-66 17-67
#> 93.005376 98.005102 104.120123 110.453610 117.098249 121.016528 124.197423
#> 17-68 17-69 17-70 17-71 17-72 17-73 17-74
#> 128.576825 135.059246 142.302495 148.946299 153.687996 159.702849 166.027106
#> 17-75 17-76 17-77 17-78 17-79 17-80 17-81
#> 172.661519 179.334882 185.162091 191.838474 198.881874 205.387439 202.358593
#> 17-82 17-83 17-84 17-85 17-86 17-87 17-88
#> 197.306868 192.782261 190.065778 190.184121 189.169236 187.523332 186.954540
#> 17-89 17-90 17-91 17-92 17-93 17-94 17-95
#> 181.463495 174.255559 166.715326 160.897483 156.012820 152.610616 148.529458
#> 17-96 17-97 17-98 17-99 17-100 17-101 17-102
#> 143.934013 139.445330 135.074054 129.402473 122.347865 115.312619 109.041277
#> 17-103 17-104 17-105 17-106 17-107 17-108 17-109
#> 103.585713 99.020200 96.020831 92.649879 89.554453 86.764048 84.308956
#> 17-110 17-111 17-112 17-113 17-114 17-115 17-116
#> 83.168504 83.677954 89.050547 90.094395 87.367042 81.098705 76.105190
#> 17-117 17-118 17-119 17-120 18-19 18-20 18-21
#> 70.256672 66.098411 63.600314 63.694584 6.708204 13.601471 19.104973
#> 18-22 18-23 18-24 18-25 18-26 18-27 18-28
#> 25.000000 30.528675 36.235342 41.629317 46.818800 52.201533 57.723479
#> 18-29 18-30 18-31 18-32 18-33 18-34 18-35
#> 62.585941 68.154237 63.568860 58.694122 54.120237 49.396356 45.000000
#> 18-36 18-37 18-38 18-39 18-40 18-41 18-42
#> 40.360872 36.124784 31.622777 27.730849 24.041631 20.024984 15.811388
#> 18-43 18-44 18-45 18-46 18-47 18-48 18-49
#> 12.727922 12.369317 12.369317 15.000000 18.027756 22.135944 27.658633
#> 18-50 18-51 18-52 18-53 18-54 18-55 18-56
#> 33.541020 38.639358 44.721360 50.635956 56.718604 62.649820 68.593003
#> 18-57 18-58 18-59 18-60 18-61 18-62 18-63
#> 74.431176 80.399005 86.209048 92.048900 98.000000 103.019416 109.165013
#> 18-64 18-65 18-66 18-67 18-68 18-69 18-70
#> 115.524889 122.188379 126.115027 129.294238 133.663757 140.132081 147.363496
#> 18-71 18-72 18-73 18-74 18-75 18-76 18-77
#> 154.003247 158.751378 164.769536 171.093542 177.724506 184.382754 190.192008
#> 18-78 18-79 18-80 18-81 18-82 18-83 18-84
#> 196.865436 203.901937 210.394867 207.337888 202.267150 197.729613 194.989743
#> 18-85 18-86 18-87 18-88 18-89 18-90 18-91
#> 195.058965 193.992268 192.283645 191.650724 186.131674 178.921771 171.405951
#> 18-92 18-93 18-94 18-95 18-96 18-97 18-98
#> 165.583816 160.654910 157.200509 153.052279 148.394744 143.836713 139.387948
#> 18-99 18-100 18-101 18-102 18-103 18-104 18-105
#> 133.660016 126.574089 119.503138 113.172435 107.628992 102.941731 99.809819
#> 18-106 18-107 18-108 18-109 18-110 18-111 18-112
#> 96.260064 92.962358 89.944427 87.235314 85.796270 86.023253 91.214034
#> 18-113 18-114 18-115 18-116 18-117 18-118 18-119
#> 91.983694 88.955045 82.492424 77.524190 71.847060 68.154237 66.128662
#> 18-120 19-20 19-21 19-22 19-23 19-24 19-25
#> 66.640828 7.071068 13.038405 19.235384 25.079872 31.016125 36.687873
#> 19-26 19-27 19-28 19-29 19-30 19-31 19-32
#> 42.201896 47.853944 53.600373 58.549125 63.953108 58.940648 53.758720
#> 19-33 19-34 19-35 19-36 19-37 19-38 19-39
#> 48.846699 43.829214 39.115214 34.205263 29.698485 25.000000 21.023796
#> 19-40 19-41 19-42 19-43 19-44 19-45 19-46
#> 17.464249 14.142136 12.041595 12.369317 15.297059 17.492856 21.213203
#> 19-47 19-48 19-49 19-50 19-51 19-52 19-53
#> 24.698178 28.792360 34.205263 40.024992 45.122057 51.195703 57.070132
#> 19-54 19-55 19-56 19-57 19-58 19-59 19-60
#> 63.150614 69.050706 74.966659 80.752709 86.700634 92.439169 98.183502
#> 19-61 19-62 19-63 19-64 19-65 19-66 19-67
#> 104.043260 109.004587 115.039124 121.264174 127.769323 131.529464 134.536240
#> 19-68 19-69 19-70 19-71 19-72 19-73 19-74
#> 138.740765 145.065502 152.200526 158.808060 163.600122 169.640797 175.960223
#> 19-75 19-76 19-77 19-78 19-79 19-80 19-81
#> 182.562318 189.113722 194.812731 201.467119 208.463426 214.888343 211.697898
#> 19-82 19-83 19-84 19-85 19-86 19-87 19-88
#> 206.545395 201.955441 199.123078 199.010050 197.767540 195.862196 195.041021
#> 19-89 19-90 19-91 19-92 19-93 19-94 19-95
#> 189.446562 182.236111 174.794165 168.964493 163.917662 160.327789 156.012820
#> 19-96 19-97 19-98 19-99 19-100 19-101 19-102
#> 151.208465 146.492321 141.873183 136.029409 128.887548 121.753850 115.312619
#> 19-103 19-104 19-105 19-106 19-107 19-108 19-109
#> 109.603832 104.690019 101.316336 97.452553 93.813645 90.426766 87.321246
#> 19-110 19-111 19-112 19-113 19-114 19-115 19-116
#> 85.428333 85.234969 90.138782 90.520716 87.097646 80.411442 75.504967
#> 19-117 19-118 19-119 19-120 20-21 20-22 20-23
#> 70.092796 67.067131 65.741920 66.887966 6.324555 12.649111 18.681542
#> 20-24 20-25 20-26 20-27 20-28 20-29 20-30
#> 24.738634 30.594117 36.345564 42.190046 48.093659 53.084838 58.309519
#> 20-31 20-32 20-33 20-34 20-35 20-36 20-37
#> 52.952809 47.539457 42.379240 37.161808 32.249031 27.202941 22.627417
#> 20-38 20-39 20-40 20-41 20-42 20-43 20-44
#> 18.027756 14.560220 12.041595 11.401754 13.601471 17.117243 21.540659
#> 20-45 20-46 20-47 20-48 20-49 20-50 20-51
#> 24.413111 28.284271 31.622777 35.341194 40.496913 46.173586 51.244512
#> 20-52 20-53 20-54 20-55 20-56 20-57 20-58
#> 57.280014 63.063460 69.123079 74.953319 80.808415 86.492774 92.395887
#> 20-59 20-60 20-61 20-62 20-63 20-64 20-65
#> 98.005102 103.585713 109.293184 114.157786 120.016666 126.035709 132.306462
#> 20-66 20-67 20-68 20-69 20-70 20-71 20-72
#> 135.830777 138.600144 142.579802 148.707767 155.708060 162.265215 167.107750
#> 20-73 20-74 20-75 20-76 20-77 20-78 20-79
#> 173.170436 179.477018 186.034943 192.442199 197.994949 204.619158 211.558503
#> 20-80 20-81 20-82 20-83 20-84 20-85 20-86
#> 217.892175 214.536710 209.286884 204.636263 201.692836 201.357890 199.904977
#> 20-87 20-88 20-89 20-90 20-91 20-92 20-93
#> 197.767540 196.725697 191.049732 183.847763 176.502125 170.672200 165.496224
#> 20-94 20-95 20-96 20-97 20-98 20-99 20-100
#> 161.755989 157.257750 152.295765 147.410990 142.611360 136.652845 129.468143
#> 20-101 20-102 20-103 20-104 20-105 20-106 20-107
#> 122.286549 115.745410 109.877204 104.737768 101.118742 96.938125 92.956979
#> 20-108 20-109 20-110 20-111 20-112 20-113 20-114
#> 89.202018 85.702975 83.354664 82.734515 87.321246 87.315520 83.522452
#> 20-115 20-116 20-117 20-118 20-119 20-120 21-22
#> 76.655072 71.840100 66.730802 64.404969 63.812225 65.604878 6.324555
#> 21-23 21-24 21-25 21-26 21-27 21-28 21-29
#> 12.369317 18.439089 24.331050 30.149627 36.055513 42.011903 47.010637
#> 21-30 21-31 21-32 21-33 21-34 21-35 21-36
#> 52.153619 46.690470 41.231056 36.055513 30.870698 26.076810 21.260292
#> 21-37 21-38 21-39 21-40 21-41 21-42 21-43
#> 17.204651 13.601471 12.165525 12.206556 14.764823 19.104973 23.345235
#> 21-44 21-45 21-46 21-47 21-48 21-49 21-50
#> 27.856777 30.528675 34.058773 36.878178 39.962482 44.721360 50.159745
#> 21-51 21-52 21-53 21-54 21-55 21-56 21-57
#> 55.154329 61.098281 66.730802 72.732386 78.447435 84.202138 89.738509
#> 21-58 21-59 21-60 21-61 21-62 21-63 21-64
#> 95.566731 101.000000 106.367288 111.879399 116.619038 122.262014 128.035151
#> 21-65 21-66 21-67 21-68 21-69 21-70 21-71
#> 134.033578 137.295302 139.807010 143.544418 149.459024 156.310588 162.806634
#> 21-72 21-73 21-74 21-75 21-76 21-77 21-78
#> 167.693172 173.769963 180.055547 186.560982 192.815974 198.217053 204.804785
#> 21-79 21-80 21-81 21-82 21-83 21-84 21-85
#> 211.681364 217.919710 214.406157 209.066975 204.362423 201.315673 200.771014
#> 21-86 21-87 21-88 21-89 21-90 21-91 21-92
#> 199.123078 196.773982 195.532606 189.789357 182.603395 175.353928 169.531708
#> 21-93 21-94 21-95 21-96 21-97 21-98 21-99
#> 164.246766 160.377679 155.724115 150.632002 145.609066 140.662717 134.617978
#> 21-100 21-101 21-102 21-103 21-104 21-105 21-106
#> 127.412715 120.208153 113.600176 107.615055 102.303470 98.493655 94.069124
#> 21-107 21-108 21-109 21-110 21-111 21-112 21-113
#> 89.827613 85.796270 82.006097 79.322128 78.390050 82.734515 82.462113
#> 21-114 21-115 21-116 21-117 21-118 21-119 21-120
#> 78.434686 71.470274 66.730802 61.846584 60.033324 60.000000 62.289646
#> 22-23 22-24 22-25 22-26 22-27 22-28 22-29
#> 6.082763 12.165525 18.110770 24.020824 30.000000 36.013886 41.012193
#> 22-30 22-31 22-32 22-33 22-34 22-35 22-36
#> 46.043458 40.447497 34.928498 29.732137 24.596748 20.000000 15.620499
#> 22-37 22-38 22-39 22-40 22-41 22-42 22-43
#> 12.649111 11.180340 12.806248 15.264338 19.646883 25.000000 29.614186
#> 22-44 22-45 22-46 22-47 22-48 22-49 22-50
#> 34.176015 36.715120 40.000000 42.426407 45.000000 49.396356 54.589376
#> 22-51 22-52 22-53 22-54 22-55 22-56 22-57
#> 59.481089 65.306967 70.774289 76.694198 82.280010 87.920419 93.300589
#> 22-58 22-59 22-60 22-61 22-62 22-63 22-64
#> 99.040396 104.292857 109.444050 114.756263 119.364986 124.787820 130.311166
#> 22-65 22-66 22-67 22-68 22-69 22-70 22-71
#> 136.033084 139.032370 141.286942 144.779142 150.472589 157.165518 163.590953
#> 22-72 22-73 22-74 22-75 22-76 22-77 22-78
#> 168.514094 174.596678 180.853532 187.299226 193.395967 198.640379 205.185282
#> 22-79 22-80 22-81 22-82 22-83 22-84 22-85
#> 211.992924 218.130695 214.462118 209.038274 204.284116 201.136769 200.382135
#> 22-86 22-87 22-88 22-89 22-90 22-91 22-92
#> 198.539669 195.979591 194.537914 188.732615 181.570923 174.427635 168.620877
#> 22-93 22-94 22-95 22-96 22-97 22-98 22-99
#> 163.232962 159.238814 154.434452 149.217961 144.062486 138.974818 132.853303
#> 22-100 22-101 22-102 22-103 22-104 22-105 22-106
#> 125.642350 118.431415 111.772090 105.683490 100.209780 96.213305 91.547802
#> 22-107 22-108 22-109 22-110 22-111 22-112 22-113
#> 87.045965 82.734515 78.644771 75.604233 74.330344 78.390050 77.820306
#> 22-114 22-115 22-116 22-117 22-118 22-119 22-120
#> 73.539105 66.483081 61.846584 57.245087 56.035703 56.639209 59.464275
#> 23-24 23-25 23-26 23-27 23-28 23-29 23-30
#> 6.082763 12.041595 18.000000 24.020824 30.066593 35.057096 40.012498
#> 23-31 23-32 23-33 23-34 23-35 23-36 23-37
#> 34.365681 28.861739 23.769729 18.867962 14.866069 11.704700 11.180340
#> 23-38 23-39 23-40 23-41 23-42 23-43 23-44
#> 12.806248 16.643317 20.248457 25.317978 31.016125 35.693137 40.162171
#> 23-45 23-46 23-47 23-48 23-49 23-50 23-51
#> 42.485292 45.486262 47.507894 49.578221 53.600373 58.523500 63.285069
#> 23-52 23-53 23-54 23-55 23-56 23-57 23-58
#> 68.963759 74.242845 80.056230 85.492690 91.000000 96.208108 101.843016
#> 23-59 23-60 23-61 23-62 23-63 23-64 23-65
#> 106.901824 111.825757 116.927328 121.396046 126.589889 131.855982 137.295302
#> 23-66 23-67 23-68 23-69 23-70 23-71 23-72
#> 140.032139 142.031687 145.279042 150.748134 157.276826 163.624570 168.576392
#> 23-73 23-74 23-75 23-76 23-77 23-78 23-79
#> 174.656806 180.878412 187.259179 193.196791 198.285148 204.782812 211.518321
#> 23-80 23-81 23-82 23-83 23-84 23-85 23-86
#> 217.554591 213.740497 208.240246 203.442867 200.202398 199.248588 197.223224
#> 23-87 23-88 23-89 23-90 23-91 23-92 23-93
#> 194.465935 192.836718 186.978608 179.847157 172.812037 167.026944 161.548754
#> 23-94 23-95 23-96 23-97 23-98 23-99 23-100
#> 157.442053 152.502459 147.176764 141.904898 136.693087 130.510536 123.308556
#> 23-101 23-102 23-103 23-104 23-105 23-106 23-107
#> 116.107709 109.416635 103.247276 97.637083 93.477270 88.600226 83.868945
#> 23-108 23-109 23-110 23-111 23-112 23-113 23-114
#> 79.309520 74.953319 71.589105 70.000000 73.783467 72.945185 68.447060
#> 23-115 23-116 23-117 23-118 23-119 23-120 24-25
#> 61.326992 56.797887 52.478567 51.855569 53.075418 56.400355 6.000000
#> 24-26 24-27 24-28 24-29 24-30 24-31 24-32
#> 12.041595 18.110770 24.186773 29.154759 34.000000 28.284271 22.803509
#> 24-33 24-34 24-35 24-36 24-37 24-38 24-39
#> 17.888544 13.453624 10.770330 10.198039 12.806248 16.643317 21.540659
#> 24-40 24-41 24-42 24-43 24-44 24-45 24-46
#> 25.709920 31.144823 37.054015 41.773197 46.173586 48.332184 51.107729
#> 24-47 24-48 24-49 24-50 24-51 24-52 24-53
#> 52.801515 54.451814 58.137767 62.801274 67.424031 72.945185 78.032045
#> 24-54 24-55 24-56 24-57 24-58 24-59 24-60
#> 83.725743 89.005618 94.371606 99.403219 104.923782 109.786156 114.481440
#> 24-61 24-62 24-63 24-64 24-65 24-66 24-67
#> 119.369175 123.693169 128.654576 133.660016 138.812824 141.286942 143.031465
#> 24-68 24-69 24-70 24-71 24-72 24-73 24-74
#> 146.030819 151.267974 157.622968 163.884105 168.857928 174.928557 181.107703
#> 24-75 24-76 24-77 24-78 24-79 24-80 24-81
#> 187.416648 193.189027 198.116128 204.560504 211.217897 217.147415 213.190056
#> 24-82 24-83 24-84 24-85 24-86 24-87 24-88
#> 207.617437 202.780670 199.449242 198.295234 196.086716 193.132079 191.313878
#> 24-89 24-90 24-91 24-92 24-93 24-94 24-95
#> 185.407659 178.314329 171.397200 165.641178 160.078106 155.862119 150.791246
#> 24-96 24-97 24-98 24-99 24-100 24-101 24-102
#> 145.361618 139.978570 134.647688 128.413395 121.235308 114.061387 107.354553
#> 24-103 24-104 24-105 24-106 24-107 24-108 24-109
#> 101.118742 95.383437 91.065910 85.982556 81.024688 76.216796 71.589105
#> 24-110 24-111 24-112 24-113 24-114 24-115 24-116
#> 67.882251 65.946948 69.404611 68.264193 63.529521 56.356011 51.971146
#> 24-117 24-118 24-119 24-120 25-26 25-27 25-28
#> 48.010416 48.083261 50.000000 53.851648 6.082763 12.165525 18.248288
#> 25-29 25-30 25-31 25-32 25-33 25-34 25-35
#> 23.194827 28.000000 22.360680 17.088007 12.806248 9.848858 10.198039
#> 25-36 25-37 25-38 25-39 25-40 25-41 25-42
#> 12.806248 17.204651 21.931712 27.202941 31.575307 37.121422 43.046487
#> 25-43 25-44 25-45 25-46 25-47 25-48 25-49
#> 47.675990 51.923020 53.851648 56.356011 57.688820 58.898217 62.225397
#> 25-50 25-51 25-52 25-53 25-54 25-55 25-56
#> 66.603303 71.063352 76.400262 81.271151 86.821656 91.923882 97.128780
#> 25-57 25-58 25-59 25-60 25-61 25-62 25-63
#> 101.965681 107.354553 112.004464 116.456000 121.115647 125.283678 130.000000
#> 25-64 25-65 25-66 25-67 25-68 25-69 25-70
#> 134.733069 139.588681 141.795628 143.282937 146.030819 151.029798 157.203690
#> 25-71 25-72 25-73 25-74 25-75 25-76 25-77
#> 163.370744 168.359734 174.413302 180.543624 186.775266 192.379833 197.144617
#> 25-78 25-79 25-80 25-81 25-82 25-83 25-84
#> 203.531324 210.107116 215.928229 211.834841 206.196508 201.325607 197.909070
#> 25-85 25-86 25-87 25-88 25-89 25-90 25-91
#> 196.562967 194.180329 191.039263 189.042323 183.095603 176.045449 169.248338
#> 25-92 25-93 25-94 25-95 25-96 25-97 25-98
#> 163.526756 157.889202 153.574086 148.384635 142.863571 137.382677 131.946959
#> 25-99 25-100 25-101 25-102 25-103 25-104 25-105
#> 125.674182 118.532696 111.400180 104.694795 98.412398 92.574294 88.119237
#> 25-106 25-107 25-108 25-109 25-110 25-111 25-112
#> 82.855296 77.698134 72.670489 67.801180 63.780875 61.522354 64.660653
#> 25-113 25-114 25-115 25-116 25-117 25-118 25-119
#> 63.245553 58.309519 51.107729 46.872167 43.278170 44.045431 46.647615
#> 25-120 26-27 26-28 26-29 26-30 26-31 26-32
#> 50.990195 6.082763 12.165525 17.117243 22.022716 16.763055 12.206556
#> 26-33 26-34 26-35 26-36 26-37 26-38 26-39
#> 9.848858 10.198039 13.601471 17.804494 22.825424 27.856777 33.241540
#> 26-40 26-41 26-42 26-43 26-44 26-45 26-46
#> 37.656341 43.185646 49.010203 53.460266 57.489129 59.135438 61.326992
#> 26-47 26-48 26-49 26-50 26-51 26-52 26-53
#> 62.265560 63.007936 65.946948 70.007142 74.276510 79.397733 84.023806
#> 26-54 26-55 26-56 26-57 26-58 26-59 26-60
#> 89.403579 94.302704 99.322706 103.942292 109.178753 113.595775 117.783700
#> 26-61 26-62 26-63 26-64 26-65 26-66 26-67
#> 122.196563 126.194295 130.648383 135.092561 139.635239 141.566239 142.790056
#> 26-68 26-69 26-70 26-71 26-72 26-73 26-74
#> 145.279042 150.029997 156.012820 162.077142 167.074834 173.104015 179.178682
#> 26-75 26-76 26-77 26-78 26-79 26-80 26-81
#> 185.326738 190.759010 195.358645 201.682919 208.173005 213.883146 209.659247
#> 26-82 26-83 26-84 26-85 26-86 26-87 26-88
#> 203.960781 199.060292 195.563289 194.030925 191.481070 188.162164 185.994624
#> 26-89 26-90 26-91 26-92 26-93 26-94 26-95
#> 180.013888 173.011560 166.337007 160.654910 154.951605 150.545674 145.248064
#> 26-96 26-97 26-98 26-99 26-100 26-101 26-102
#> 139.645981 134.078335 128.549601 122.249744 115.156415 108.078675 101.390335
#> 26-103 26-104 26-105 26-106 26-107 26-108 26-109
#> 95.078915 89.157165 84.581322 79.158070 73.824115 68.600292 63.513778
#> 26-110 26-111 26-112 26-113 26-114 26-115 26-116
#> 59.203040 56.639209 59.464275 57.801384 52.697249 45.486262 41.400483
#> 26-117 26-118 26-119 26-120 27-28 27-29 27-30
#> 38.183766 39.661064 42.953463 47.759816 6.082763 11.045361 16.124515
#> 27-31 27-32 27-33 27-34 27-35 27-36 27-37
#> 11.661904 8.944272 10.198039 13.601471 18.439089 23.323808 28.635642
#> 27-38 27-39 27-40 27-41 27-42 27-43 27-44
#> 33.837849 39.293765 43.737855 49.254441 55.000000 59.304300 63.150614
#> 27-45 27-46 27-47 27-48 27-49 27-50 27-51
#> 64.560050 66.483081 67.082039 67.416615 70.000000 73.756356 77.833155
#> 27-52 27-53 27-54 27-55 27-56 27-57 27-58
#> 82.734515 87.114867 92.314679 97.005155 101.833197 106.230881 111.305885
#> 27-59 27-60 27-61 27-62 27-63 27-64 27-65
#> 115.485930 119.406867 123.567795 127.389168 131.575074 135.723985 139.946418
#> 27-66 27-67 27-68 27-69 27-70 27-71 27-72
#> 141.598023 142.555252 144.779142 149.271565 155.051604 161.003106 166.003012
#> 27-73 27-74 27-75 27-76 27-77 27-78 27-79
#> 172.000000 178.011236 184.067922 189.319835 193.747258 200.002500 206.400097
#> 27-80 27-81 27-82 27-83 27-84 27-85 27-86
#> 211.992924 207.639110 201.883630 196.956848 193.380454 191.658551 188.939144
#> 27-87 27-88 27-89 27-90 27-91 27-92 27-93
#> 185.440017 183.098334 177.087549 170.141118 163.600122 157.965186 152.200526
#> 27-94 27-95 27-96 27-97 27-98 27-99 27-100
#> 147.705789 142.302495 136.623570 130.973280 125.355494 119.037809 112.008928
#> 27-101 27-102 27-103 27-104 27-105 27-106 27-107
#> 105.004762 98.351411 92.027170 86.034877 81.344945 75.769387 70.263789
#> 27-108 27-109 27-110 27-111 27-112 27-113 27-114
#> 64.845971 59.539903 54.918121 52.009614 54.451814 52.497619 47.201695
#> 27-115 27-116 27-117 27-118 27-119 27-120 28-29
#> 40.000000 36.124784 33.421550 35.777088 39.849718 45.122057 5.000000
#> 28-30 28-31 28-32 28-33 28-34 28-35 28-36
#> 10.440307 8.062258 9.219544 13.601471 18.439089 23.853721 29.068884
#> 28-37 28-38 28-39 28-40 28-41 28-42 28-43
#> 34.539832 39.849718 45.354162 49.819675 55.326305 61.008196 65.192024
#> 28-44 28-45 28-46 28-47 28-48 28-49 28-50
#> 68.883960 70.092796 71.784399 72.090221 72.069411 74.330344 77.801028
#> 28-51 28-52 28-53 28-54 28-55 28-56 28-57
#> 81.688432 86.371292 90.509668 95.524866 100.005000 104.637469 108.811764
#> 28-58 28-59 28-60 28-61 28-62 28-63 28-64
#> 113.718952 117.660529 121.313643 125.219807 128.860390 132.774244 136.623570
#> 28-65 28-66 28-67 28-68 28-69 28-70 28-71
#> 140.520461 141.890803 142.579802 144.533733 148.758193 154.324334 160.153052
#> 28-72 28-73 28-74 28-75 28-76 28-77 28-78
#> 165.148418 171.105231 177.045192 183.002732 188.066478 192.314846 198.494332
#> 28-79 28-80 28-81 28-82 28-83 28-84 28-85
#> 204.792578 210.261742 205.779008 199.969998 195.020512 191.366141 189.451841
#> 28-86 28-87 28-88 28-89 28-90 28-91 28-92
#> 186.560982 182.879742 180.360750 174.324410 167.442527 161.046577 155.467038
#> 28-93 28-94 28-95 28-96 28-97 28-98 28-99
#> 149.646250 145.065502 139.560023 133.809566 128.082005 122.380554 116.056021
#> 28-100 28-101 28-102 28-103 28-104 28-105 28-106
#> 109.110036 102.200783 95.603347 89.286057 83.240615 78.447435 72.732386
#> 28-107 28-108 28-109 28-110 28-111 28-112 28-113
#> 67.067131 61.465437 55.946403 51.000000 47.707442 49.678969 47.381431
#> 28-114 28-115 28-116 28-117 28-118 28-119 28-120
#> 41.868843 34.713110 31.144823 29.154759 32.572995 37.483330 43.185646
#> 29-30 29-31 29-32 29-33 29-34 29-35 29-36
#> 5.830952 7.071068 11.401754 17.029386 22.472205 28.178006 33.615473
#> 29-37 29-38 29-39 29-40 29-41 29-42 29-43
#> 39.217343 44.643029 50.219518 54.744863 60.299254 66.007575 70.178344
#> 29-44 29-45 29-46 29-47 29-48 29-49 29-50
#> 73.824115 74.953319 76.537572 76.694198 76.478755 78.549348 81.841310
#> 29-51 29-52 29-53 29-54 29-55 29-56 29-57
#> 85.603738 90.138782 94.111636 98.994949 103.324731 107.814656 111.825757
#> 29-58 29-59 29-60 29-61 29-62 29-63 29-64
#> 116.606175 120.370262 123.822454 127.534309 131.034347 134.736780 138.351003
#> 29-65 29-66 29-67 29-68 29-69 29-70 29-71
#> 141.989436 143.136299 143.610585 145.344419 149.345238 154.728795 160.449369
#> 29-72 29-73 29-74 29-75 29-76 29-77 29-78
#> 165.435788 171.353436 177.228666 183.098334 188.000000 192.093727 198.204440
#> 29-79 29-80 29-81 29-82 29-83 29-84 29-85
#> 204.413796 209.773688 205.182845 199.331382 194.365635 190.646269 188.565638
#> 29-86 29-87 29-88 29-89 29-90 29-91 29-92
#> 185.526278 181.686543 179.011173 172.956642 166.138496 159.878079 154.353490
#> 29-93 29-94 29-95 29-96 29-97 29-98 29-99
#> 148.489057 143.836713 138.246157 132.438665 126.649122 120.880106 114.560028
#> 29-100 29-101 29-102 29-103 29-104 29-105 29-106
#> 107.703296 100.895986 94.366308 88.073833 82.000000 77.129761 71.309186
#> 29-107 29-108 29-109 29-110 29-111 29-112 29-113
#> 65.520989 59.774577 54.083269 48.846699 45.177428 46.615448 43.931765
#> 29-114 29-115 29-116 29-117 29-118 29-119 29-120
#> 38.183766 31.144823 28.017851 26.925824 31.400637 37.013511 43.011626
#> 30-31 30-32 30-33 30-34 30-35 30-36 30-37
#> 7.211103 13.416408 19.697716 25.632011 31.622777 37.363083 43.174066
#> 30-38 30-39 30-40 30-41 30-42 30-43 30-44
#> 48.836462 54.589376 59.304300 65.069194 71.028163 75.425460 79.246451
#> 30-45 30-46 30-47 30-48 30-49 30-50 30-51
#> 80.523289 82.219219 82.462113 82.298238 84.380092 87.658428 91.400219
#> 30-52 30-53 30-54 30-55 30-56 30-57 30-58
#> 95.900991 99.824847 104.661359 108.931171 113.357840 117.290238 122.004098
#> 30-59 30-60 30-61 30-62 30-63 30-64 30-65
#> 125.670203 129.003876 132.593363 136.000000 139.556440 143.000000 146.441114
#> 30-66 30-67 30-68 30-69 30-70 30-71 30-72
#> 147.410990 147.709174 149.254816 153.055545 158.268759 163.884105 168.857928
#> 30-73 30-74 30-75 30-76 30-77 30-78 30-79
#> 174.734084 180.543624 186.324985 191.065434 195.002564 201.039797 207.154532
#> 30-80 30-81 30-82 30-83 30-84 30-85 30-86
#> 212.398211 207.696895 201.804361 196.824795 193.038856 190.779978 187.579317
#> 30-87 30-88 30-89 30-90 30-91 30-92 30-93
#> 183.564702 180.712479 174.642492 167.904735 161.805439 156.348969 150.442680
#> 30-94 30-95 30-96 30-97 30-98 30-99 30-100
#> 145.715476 140.035710 134.171532 128.319913 122.482652 116.180893 109.444050
#> 30-101 30-102 30-103 30-104 30-105 30-106 30-107
#> 102.771591 96.337947 90.094395 84.011904 79.075913 73.164199 67.268120
#> 30-108 30-109 30-110 30-111 30-112 30-113 30-114
#> 61.392182 55.542776 50.000000 45.880279 46.529560 43.266615 37.202150
#> 30-115 30-116 30-117 30-118 30-119 30-120 31-32
#> 30.528675 28.231188 28.442925 34.000000 40.199502 46.389654 6.324555
#> 31-33 31-34 31-35 31-36 31-37 31-38 31-39
#> 12.649111 18.681542 24.738634 30.594117 36.496575 42.296572 48.166378
#> 31-40 31-41 31-42 31-43 31-44 31-45 31-46
#> 53.037722 59.008474 65.276336 70.035705 74.215901 75.894664 78.000000
#> 31-47 31-48 31-49 31-50 31-51 31-52 31-53
#> 78.714675 79.075913 81.608823 85.276022 89.274856 94.069124 98.310732
#> 31-54 31-55 31-56 31-57 31-58 31-59 31-60
#> 103.392456 107.935166 112.614386 116.828935 121.757957 125.717938 129.375423
#> 31-61 31-62 31-63 31-64 31-65 31-66 31-67
#> 133.270402 136.894120 140.769315 144.557947 148.367786 149.646250 150.233152
#> 31-68 31-69 31-70 31-71 31-72 31-73 31-74
#> 152.069063 156.160174 161.607549 167.361883 172.351385 178.280678 184.173831
#> 31-75 31-76 31-77 31-78 31-79 31-80 31-81
#> 190.065778 195.002564 199.123078 205.243758 211.463945 216.834038 212.249853
#> 31-82 31-83 31-84 31-85 31-86 31-87 31-88
#> 206.400097 201.434853 197.716969 195.634864 192.587642 188.732615 186.034943
#> 31-89 31-90 31-91 31-92 31-93 31-94 31-95
#> 179.977776 173.170436 166.928128 161.409417 155.540991 150.880748 145.279042
#> 31-96 31-97 31-98 31-99 31-100 31-101 31-102
#> 139.463257 133.663757 127.882759 121.564798 114.725760 107.935166 101.414989
#> 31-103 31-104 31-105 31-106 31-107 31-108 31-109
#> 95.126232 89.050547 84.172442 78.339007 72.532751 66.760767 61.032778
#> 31-110 31-111 31-112 31-113 31-114 31-115 31-116
#> 55.713553 51.894123 53.000000 50.000000 44.045431 37.202150 34.481879
#> 31-117 31-118 31-119 31-120 32-33 32-34 32-35
#> 33.837849 38.470768 44.045431 50.000000 6.324555 12.369317 18.439089
#> 32-36 32-37 32-38 32-39 32-40 32-41 32-42
#> 24.331050 30.265492 36.124784 42.047592 47.000000 53.084838 59.539903
#> 32-43 32-44 32-45 32-46 32-47 32-48 32-49
#> 64.536811 68.963759 70.936591 73.348483 74.431176 75.213031 78.102497
#> 32-50 32-51 32-52 32-53 32-54 32-55 32-56
#> 82.073138 86.267027 91.285267 95.775780 101.044545 105.801701 110.679718
#> 32-57 32-58 32-59 32-60 32-61 32-62 32-63
#> 115.121675 120.220631 124.422667 128.351081 132.502830 136.308474 140.456399
#> 32-64 32-65 32-66 32-67 32-68 32-69 32-70
#> 144.544111 148.677503 150.233152 151.082759 153.182897 157.537297 163.196201
#> 32-71 32-72 32-73 32-74 32-75 32-76 32-77
#> 169.073948 174.071824 180.044439 186.010752 192.002604 197.124326 201.419959
#> 32-78 32-79 32-80 32-81 32-82 32-83 32-84
#> 207.617437 213.936907 219.428804 214.965113 209.162616 204.215572 200.569190
#> 32-85 32-86 32-87 32-88 32-89 32-90 32-91
#> 198.668065 195.780489 192.093727 189.560017 183.521116 176.646540 170.261563
#> 32-92 32-93 32-94 32-95 32-96 32-97 32-98
#> 164.684547 158.861575 154.275727 148.761554 143.003496 137.266165 131.552271
#> 32-99 32-100 32-101 32-102 32-103 32-104 32-105
#> 125.227792 118.296238 111.400180 104.809351 98.493655 92.444578 87.641314
#> 32-106 32-107 32-108 32-109 32-110 32-111 32-112
#> 81.908486 76.216796 70.576200 65.000000 59.933296 56.435804 58.008620
#> 32-113 32-114 32-115 32-116 32-117 32-118 32-119
#> 55.317267 49.517674 42.520583 39.408121 38.013156 41.761226 46.690470
#> 32-120 33-34 33-35 33-36 33-37 33-38 33-39
#> 52.345009 6.082763 12.165525 18.110770 24.083189 30.016662 36.000000
#> 33-40 33-41 33-42 33-43 33-44 33-45 33-46
#> 41.048752 47.265209 53.935146 59.203040 63.906181 66.211781 68.963759
#> 33-47 33-48 33-49 33-50 33-51 33-52 33-53
#> 70.455660 71.700767 74.966659 79.246451 83.630138 88.865066 93.600214
#> 33-54 33-55 33-56 33-57 33-58 33-59 33-60
#> 99.045444 104.009615 109.077954 113.740934 119.000000 123.438244 127.632284
#> 33-61 33-62 33-63 33-64 33-65 33-66 33-67
#> 132.034087 136.014705 140.427917 144.806768 149.254816 151.082759 152.190670
#> 33-68 33-69 33-70 33-71 33-72 33-73 33-74
#> 154.547727 159.154013 165.012121 171.002924 176.002841 182.010989 188.042548
#> 33-75 33-76 33-77 33-78 33-79 33-80 33-81
#> 194.126248 199.424171 203.887224 210.154705 216.566387 222.173356 217.830209
#> 33-82 33-83 33-84 33-85 33-86 33-87 33-88
#> 212.077816 207.152118 203.577995 201.853908 199.123078 195.601636 193.227845
#> 33-89 33-90 33-91 33-92 33-93 33-94 33-95
#> 187.211111 180.277564 173.761331 168.133875 162.360710 157.851196 152.427032
#> 33-96 33-97 33-98 33-99 33-100 33-101 33-102
#> 146.731046 141.060271 135.417872 129.096863 122.090131 115.108644 108.466585
#> 33-103 33-104 33-105 33-106 33-107 33-108 33-109
#> 102.142058 96.135321 91.416629 85.796270 80.230917 74.732858 69.318107
#> 33-110 33-111 33-112 33-113 33-114 33-115 33-116
#> 64.498062 61.294372 63.253458 60.827625 55.172457 48.083261 44.687806
#> 33-117 33-118 33-119 33-120 34-35 34-36 34-37
#> 42.720019 45.694639 50.000000 55.317267 6.082763 12.041595 18.027756
#> 34-38 34-39 34-40 34-41 34-42 34-43 34-44
#> 24.000000 30.016662 35.128336 41.436699 48.270074 53.758720 58.694122
#> 34-45 34-46 34-47 34-48 34-49 34-50 34-51
#> 61.294372 64.350602 66.219333 67.896981 71.505245 76.059187 80.603970
#> 34-52 34-53 34-54 34-55 34-56 34-57 34-58
#> 86.023253 90.972523 96.566040 101.710373 106.943911 111.803399 117.200683
#> 34-59 34-60 34-61 34-62 34-63 34-64 34-65
#> 121.852370 126.289350 130.919823 135.059246 139.717572 144.367586 149.110697
#> 34-66 34-67 34-68 34-69 34-70 34-71 34-72
#> 151.198545 152.554908 155.157984 160.003125 166.048186 172.142383 177.138364
#> 34-73 34-74 34-75 34-76 34-77 34-78 34-79
#> 183.174780 189.264365 195.432853 200.900473 205.526154 211.858443 218.357505
#> 34-80 34-81 34-82 34-83 34-84 34-85 34-86
#> 224.075880 219.856772 214.158820 209.258214 205.759568 204.215572 201.645729
#> 34-87 34-88 34-89 34-90 34-91 34-92 34-93
#> 198.295234 196.086716 190.097343 183.109257 176.465294 170.792271 165.075740
#> 34-94 34-95 34-96 34-97 34-98 34-99 34-100
#> 160.648685 155.322246 149.696359 144.100659 138.538803 132.230859 125.159898
#> 34-101 34-102 34-103 34-104 34-105 34-106 34-107
#> 118.105885 111.427106 105.109467 99.161484 94.540996 89.050547 83.630138
#> 34-108 34-109 34-110 34-111 34-112 34-113 34-114
#> 78.294317 73.061618 68.505474 65.604878 67.941151 65.795137 60.307545
#> 34-115 34-116 34-117 34-118 34-119 34-120 35-36
#> 53.150729 49.497475 47.010637 49.244289 52.924474 57.870545 6.000000
#> 35-37 35-38 35-39 35-40 35-41 35-42 35-43
#> 12.000000 18.027756 24.083189 29.274562 35.693137 42.720019 48.466483
#> 35-44 35-45 35-46 35-47 35-48 35-49 35-50
#> 53.665631 56.603887 60.000000 62.289646 64.443774 68.410526 73.239334
#> 35-51 35-52 35-53 35-54 35-55 35-56 35-57
#> 77.935871 83.528438 88.684835 94.413982 99.729635 105.118980 110.168053
#> 35-58 35-59 35-60 35-61 35-62 35-63 35-64
#> 115.693561 120.552893 125.227792 130.080744 134.372616 139.269523 144.183910
#> 35-65 35-66 35-67 35-68 35-69 35-70 35-71
#> 149.214611 151.558570 153.160047 156.003205 161.077621 167.299133 173.487752
#> 35-72 35-73 35-74 35-75 35-76 35-77 35-78
#> 178.474088 184.531840 190.672494 196.918765 202.548760 207.330654 213.721782
#> 35-79 35-80 35-81 35-82 35-83 35-84 35-85
#> 220.302065 226.126071 222.031529 216.390850 211.518321 208.096132 206.729292
#> 35-86 35-87 35-88 35-89 35-90 35-91 35-92
#> 204.318379 201.136769 199.090432 193.132079 186.096749 179.334882 173.623155
#> 35-93 35-94 35-95 35-96 35-97 35-98 35-99
#> 167.967259 163.624570 158.398232 152.846328 147.329563 141.852036 135.565482
#> 35-100 35-101 35-102 35-103 35-104 35-105 35-106
#> 128.444541 121.334249 114.634201 108.337436 102.459748 97.943861 92.590496
#> 35-107 35-108 35-109 35-110 35-111 35-112 35-113
#> 87.321246 82.152298 77.103826 72.801099 70.178344 72.835431 70.936591
#> 35-114 35-115 35-116 35-117 35-118 35-119 35-120
#> 65.604878 58.412327 54.561891 51.662365 53.254108 56.356011 60.926185
#> 36-37 36-38 36-39 36-40 36-41 36-42 36-43
#> 6.000000 12.041595 18.110770 23.345235 29.832868 37.000000 42.953463
#> 36-44 36-45 36-46 36-47 36-48 36-49 36-50
#> 48.373546 51.613952 55.317267 58.000000 60.605280 64.899923 69.971423
#> 36-51 36-52 36-53 36-54 36-55 36-56 36-57
#> 74.793048 80.529498 85.866175 91.706052 97.169954 102.693719 107.912001
#> 36-58 36-59 36-60 36-61 36-62 36-63 36-64
#> 113.547347 118.595953 123.490890 128.549601 132.981202 138.101412 143.265488
#> 36-65 36-66 36-67 36-68 36-69 36-70 36-71
#> 148.569849 151.162165 153.003268 156.080108 161.375339 167.764716 174.040225
#> 36-72 36-73 36-74 36-75 36-76 36-77 36-78
#> 179.011173 185.083765 191.269443 197.587955 203.376498 208.312266 214.758003
#> 36-79 36-80 36-81 36-82 36-83 36-84 36-85
#> 221.415898 227.343353 223.378602 217.800367 212.960090 209.618701 208.434642
#> 36-86 36-87 36-88 36-89 36-90 36-91 36-92
#> 206.189233 203.184645 201.308221 195.386796 188.308258 181.430427 175.684376
#> 36-93 36-94 36-95 36-96 36-97 36-98 36-99
#> 170.097031 165.846314 160.729587 155.261070 149.833241 144.450684 138.195514
#> 36-100 36-101 36-102 36-103 36-104 36-105 36-106
#> 131.034347 123.878973 117.170815 110.909873 105.118980 100.722391 95.524866
#> 36-107 36-108 36-109 36-110 36-111 36-112 36-113
#> 90.426766 85.445889 80.603970 76.576759 74.249579 77.233412 75.604233
#> 36-114 36-115 36-116 36-117 36-118 36-119 36-120
#> 70.455660 63.245553 59.203040 55.901699 56.850682 59.363288 63.529521
#> 37-38 37-39 37-40 37-41 37-42 37-43 37-44
#> 6.082763 12.165525 17.464249 24.041631 31.384710 37.589892 43.266615
#> 37-45 37-46 37-47 37-48 37-49 37-50 37-51
#> 46.861498 50.911688 54.037024 57.140179 61.773781 67.082039 72.013888
#> 37-52 37-53 37-54 37-55 37-56 37-57 37-58
#> 77.878110 83.384651 89.319651 94.921020 100.568385 105.948101 111.682586
#> 37-59 37-60 37-61 37-62 37-63 37-64 37-65
#> 116.914499 122.024588 127.283149 131.848398 137.186005 142.593829 148.165448
#> 37-66 37-67 37-68 37-69 37-70 37-71 37-72
#> 151.003311 153.081678 156.387340 161.895028 168.442869 174.797025 179.747044
#> 37-73 37-74 37-75 37-76 37-77 37-78 37-79
#> 185.827877 192.052076 198.436388 204.377102 209.461214 215.956014 222.685877
#> 37-80 37-81 37-82 37-83 37-84 37-85 37-86
#> 228.711609 224.877745 219.364993 214.560015 211.300734 210.297408 208.216234
#> 37-87 37-88 37-89 37-90 37-91 37-92 37-93
#> 205.387439 203.678668 197.797877 190.682983 183.698122 177.924141 172.409396
#> 37-94 37-95 37-96 37-97 37-98 37-99 37-100
#> 168.252786 163.248277 157.867033 152.531964 147.248090 141.031911 133.843192
#> 37-101 37-102 37-103 37-104 37-105 37-106 37-107
#> 126.657017 119.954158 113.740934 108.046286 103.773792 98.737024 93.813645
#> 37-108 37-109 37-110 37-111 37-112 37-113 37-114
#> 89.022469 84.386018 80.622577 78.568442 81.835200 80.448741 75.471849
#> 37-115 37-116 37-117 37-118 37-119 37-120 38-39
#> 68.264193 64.070274 60.440053 60.827625 62.801274 66.573268 6.082763
#> 38-40 38-41 38-42 38-43 38-44 38-45 38-46
#> 11.401754 18.027756 25.495098 31.906112 37.802116 41.725292 46.097722
#> 38-47 38-48 38-49 38-50 38-51 38-52 38-53
#> 49.648766 53.235327 58.180753 63.694584 68.709534 74.672619 80.324343
#> 38-54 38-55 38-56 38-57 38-58 38-59 38-60
#> 86.330759 92.048900 97.800818 103.324731 109.142109 114.542569 119.854078
#> 38-61 38-62 38-63 38-64 38-65 38-66 38-67
#> 125.299641 129.988461 135.532284 141.173652 147.003401 150.083310 152.397507
#> 38-68 38-69 38-70 38-71 38-72 38-73 38-74
#> 155.929471 161.644672 168.344884 174.771279 179.694185 185.776748 192.033851
#> 38-75 38-76 38-77 38-78 38-79 38-80 38-81
#> 198.479218 204.570281 209.802288 216.342321 223.141211 229.264040 225.568172
#> 38-82 38-83 38-84 38-85 38-86 38-87 38-88
#> 220.127236 215.362485 212.190952 211.376441 209.468375 206.826014 205.294910
#> 38-89 38-90 38-91 38-92 38-93 38-94 38-95
#> 199.461776 192.314846 185.224188 179.426865 173.994253 169.941166 165.060595
#> 38-96 38-97 38-98 38-99 38-100 38-101 38-102
#> 159.777971 154.547727 149.375366 143.209637 136.003676 128.798292 122.114700
#> 38-103 38-104 38-105 38-106 38-107 38-108 38-109
#> 115.965512 110.385687 106.254412 101.400197 96.674712 92.097774 87.692645
#> 38-110 38-111 38-112 38-113 38-114 38-115 38-116
#> 84.219950 82.462113 86.023253 84.905830 80.131143 72.945185 68.600292
#> 38-117 38-118 38-119 38-120 39-40 39-41 39-42
#> 64.637450 64.443774 65.855903 69.202601 5.385165 12.083046 19.723083
#> 39-43 39-44 39-45 39-46 39-47 39-48 39-49
#> 26.400758 32.557641 36.878178 41.617304 45.650849 49.769469 55.027266
#> 39-50 39-51 39-52 39-53 39-54 39-55 39-56
#> 60.728906 65.802736 71.840100 77.620873 83.677954 89.498603 95.341491
#> 39-57 39-58 39-59 39-60 39-61 39-62 39-63
#> 101.000000 106.887792 112.449989 117.957620 123.583980 128.390031 134.134261
#> 39-64 39-65 39-66 39-67 39-68 39-69 39-70
#> 140.003571 146.085591 149.405489 151.953940 155.708060 161.623018 168.466614
#> 39-71 39-72 39-73 39-74 39-75 39-76 39-77
#> 174.957138 179.847157 185.924716 192.208220 198.708329 204.943895 210.318806
#> 39-78 39-79 39-80 39-81 39-82 39-83 39-84
#> 216.898594 223.761033 229.976086 226.419964 221.054292 216.333077 213.251026
#> 39-85 39-86 39-87 39-88 39-89 39-90 39-91
#> 212.624081 210.888596 208.432243 207.077280 201.295802 194.123672 186.935818
#> 39-92 39-93 39-94 39-95 39-96 39-97 39-98
#> 181.121506 175.775425 171.828403 167.074834 161.895028 156.773722 151.716842
#> 39-99 39-100 39-101 39-102 39-103 39-104 39-105
#> 145.609066 138.397977 131.186890 124.535136 118.460964 113.004425 109.018347
#> 39-106 39-107 39-108 39-109 39-110 39-111 39-112
#> 104.350371 99.824847 95.462034 91.285267 88.090862 86.608314 90.426766
#> 39-113 39-114 39-115 39-116 39-117 39-118 39-119
#> 89.554453 84.970583 77.820306 73.355300 69.115845 68.410526 69.310894
#> 39-120 40-41 40-42 40-43 40-44 40-45 40-46
#> 72.249567 6.708204 14.422205 21.260292 27.586228 32.202484 37.215588
#> 40-47 40-48 40-49 40-50 40-51 40-52 40-53
#> 41.629317 46.173586 51.662365 57.489129 62.585941 68.658576 74.525164
#> 40-54 40-55 40-56 40-57 40-58 40-59 40-60
#> 80.603970 86.492774 92.395887 98.152942 104.086502 109.772492 115.433964
#> 40-61 40-62 40-63 40-64 40-65 40-66 40-67
#> 121.202310 126.099167 132.003788 138.057959 144.346805 147.868185 150.615404
#> 40-68 40-69 40-70 40-71 40-72 40-73 40-74
#> 154.557433 160.639348 167.600716 174.140748 178.997207 185.064853 191.366141
#> 40-75 40-76 40-77 40-78 40-79 40-80 40-81
#> 197.909070 204.266982 209.764153 216.374675 223.289050 229.582229 226.152603
#> 40-82 40-83 40-84 40-85 40-86 40-87 40-88
#> 220.857420 216.178167 213.178329 212.720474 211.142132 208.856410 207.663189
#> 40-89 40-90 40-91 40-92 40-93 40-94 40-95
#> 201.933157 194.743421 187.472665 181.648011 176.385940 172.539850 167.907713
#> 40-96 40-97 40-98 40-99 40-100 40-101 40-102
#> 162.828130 157.813181 152.869225 146.823023 139.617334 132.412235 125.801431
#> 40-103 40-104 40-105 40-106 40-107 40-108 40-109
#> 119.808180 114.477072 110.634533 106.150836 101.823376 97.672924 93.722996
#> 40-110 40-111 40-112 40-113 40-114 40-115 40-116
#> 90.801982 89.587946 93.648278 93.021503 88.639720 81.541401 76.967526
#> 40-117 40-118 40-119 40-120 41-42 41-43 41-44
#> 72.470684 71.281134 71.700767 74.249579 7.810250 14.866069 21.400935
#> 41-45 41-46 41-47 41-48 41-49 41-50 41-51
#> 26.419690 31.780497 36.687873 41.773197 47.518417 53.460266 58.549125
#> 41-52 41-53 41-54 41-55 41-56 41-57 41-58
#> 64.629715 70.576200 76.655072 82.607506 88.566359 94.429868 100.404183
#> 41-59 41-60 41-61 41-62 41-63 41-64 41-65
#> 106.230881 112.071406 118.004237 123.004065 129.096863 135.369864 141.904898
#> 41-66 41-67 41-68 41-69 41-70 41-71 41-72
#> 145.670862 148.660687 152.829971 159.110025 166.207701 172.800463 177.609121
#> 41-73 41-74 41-75 41-76 41-77 41-78 41-79
#> 183.657290 189.973682 196.562967 203.066492 208.710326 215.353198 222.326337
#> 41-80 41-81 41-82 41-83 41-84 41-85 41-86
#> 228.711609 225.441788 220.238507 215.615398 212.720474 212.473528 211.092397
#> 41-87 41-88 41-89 41-90 41-91 41-92 41-93
#> 209.021530 208.031248 202.370947 195.166596 187.800426 181.969778 176.819117
#> 41-94 41-95 41-96 41-97 41-98 41-99 41-100
#> 173.104015 168.629772 163.682620 158.808060 154.012986 148.054044 140.868733
#> 41-101 41-102 41-103 41-104 41-105 41-106 41-107
#> 133.686200 127.141653 121.264174 116.103402 112.449989 108.208133 104.139330
#> 41-108 41-109 41-110 41-111 41-112 41-113 41-114
#> 100.264650 96.607453 94.031909 93.150416 97.493590 97.169954 93.048375
#> 41-115 41-116 41-117 41-118 41-119 41-120 42-43
#> 86.034877 81.344945 76.557168 74.793048 74.632433 76.694198 7.211103
#> 42-44 42-45 42-46 42-47 42-48 42-49 42-50
#> 13.892444 19.313208 25.000000 30.413813 36.055513 42.011903 48.010416
#> 42-51 42-52 42-53 42-54 42-55 42-56 42-57
#> 53.037722 59.076222 65.069194 71.112587 77.103826 83.096330 89.050547
#> 42-58 42-59 42-60 42-61 42-62 42-63 42-64
#> 95.047357 101.004950 107.018690 113.110565 118.207445 124.486947 130.980915
#> 42-65 42-66 42-67 42-68 42-69 42-70 42-71
#> 137.767921 141.792101 145.041373 149.452334 155.939091 163.174753 169.814605
#> 42-72 42-73 42-74 42-75 42-76 42-77 42-78
#> 174.562310 180.579622 186.903719 193.535526 200.192407 205.992718 212.664054
#> 42-79 42-80 42-81 42-82 42-83 42-84 42-85
#> 219.695243 226.176922 223.089668 217.995413 213.440858 210.667985 210.660865
#> 42-86 42-87 42-88 42-89 42-90 42-91 42-92
#> 209.506563 207.684857 206.929940 201.357890 194.146852 186.681547 180.853532
#> 42-93 42-94 42-95 42-96 42-97 42-98 42-99
#> 175.840837 172.284648 168.002976 163.220709 158.521292 153.912313 148.070929
#> 42-100 42-101 42-102 42-103 42-104 42-105 42-106
#> 140.929060 133.794619 127.349912 121.630588 116.691902 113.278418 109.343495
#> 42-107 42-108 42-109 42-110 42-111 42-112 42-113
#> 105.603030 102.078401 98.792712 96.648849 96.176920 100.846418 100.900942
#> 42-114 42-115 42-116 42-117 42-118 42-119 42-120
#> 97.123633 90.249654 85.440037 80.324343 77.878110 77.025970 78.492038
#> 43-44 43-45 43-46 43-47 43-48 43-49 43-50
#> 6.708204 12.369317 18.248288 24.020824 30.066593 36.124784 42.107007
#> 43-51 43-52 43-53 43-54 43-55 43-56 43-57
#> 47.042534 53.009433 59.008474 65.000000 71.000000 77.000000 83.006024
#> 43-58 43-59 43-60 43-61 43-62 43-63 43-64
#> 89.005618 95.047357 101.178061 107.377838 112.538882 118.949569 125.602548
#> 43-65 43-66 43-67 43-68 43-69 43-70 43-71
#> 132.574507 136.795468 140.246212 144.844744 151.489274 158.826950 165.496224
#> 43-72 43-73 43-74 43-75 43-76 43-77 43-78
#> 170.188131 176.173210 182.496575 189.156020 195.931110 201.853908 208.542562
#> 43-79 43-80 43-81 43-82 43-83 43-84 43-85
#> 215.615398 222.171105 219.237314 214.238185 209.745083 207.077280 207.272767
#> 43-86 43-87 43-88 43-89 43-90 43-91 43-92
#> 206.312869 204.707108 204.156802 198.668065 191.460179 183.918460 178.101095
#> 43-93 43-94 43-95 43-96 43-97 43-98 43-99
#> 173.216627 169.805771 165.701539 161.074517 156.540730 152.108514 146.386475
#> 43-100 43-101 43-102 43-103 43-104 43-105 43-106
#> 139.301831 132.230859 125.896783 120.341182 115.624392 112.445542 108.811764
#> 43-107 43-108 43-109 43-110 43-111 43-112 43-113
#> 105.394497 102.215459 99.297533 97.575612 97.498718 102.459748 102.883429
#> 43-114 43-115 43-116 43-117 43-118 43-119 43-120
#> 99.463561 92.763139 87.863531 82.462113 79.378838 77.878110 78.771822
#> 44-45 44-46 44-47 44-48 44-49 44-50 44-51
#> 6.000000 12.000000 18.110770 24.515301 30.594117 36.496575 41.303753
#> 44-52 44-53 44-54 44-55 44-56 44-57 44-58
#> 47.169906 53.150729 59.076222 65.069194 71.063352 77.103826 83.096330
#> 44-59 44-60 44-61 44-62 44-63 44-64 44-65
#> 89.202018 95.425364 101.710373 106.920531 113.437207 120.220631 127.345985
#> 44-66 44-67 44-68 44-69 44-70 44-71 44-72
#> 131.734582 135.358783 140.117808 146.894520 154.314614 161.003106 165.641178
#> 44-73 44-74 44-75 44-76 44-77 44-78 44-79
#> 171.592541 177.910090 184.588732 191.462790 197.489240 204.188638 211.293635
#> 44-80 44-81 44-82 44-83 44-84 44-85 44-86
#> 217.910532 215.113923 210.202284 205.766858 203.194488 203.570627 202.785601
#> 44-87 44-88 44-89 44-90 44-91 44-92 44-93
#> 201.375272 201.009950 195.601636 188.403822 180.800996 175.000000 170.238069
#> 44-94 44-95 44-96 44-97 44-98 44-99 44-100
#> 166.964068 163.027605 158.549677 154.175225 149.913308 144.312162 137.295302
#> 44-101 44-102 44-103 44-104 44-105 44-106 44-107
#> 130.299655 124.084649 118.697093 114.201576 111.251966 107.912001 104.809351
#> 44-108 44-109 44-110 44-111 44-112 44-113 44-114
#> 101.965681 99.403219 98.081599 98.371744 103.580886 104.345580 101.271911
#> 44-115 44-116 44-117 44-118 44-119 44-120 45-46
#> 94.762862 89.805345 84.172442 80.523289 78.434686 78.790862 6.000000
#> 45-47 45-48 45-49 45-50 45-51 45-52 45-53
#> 12.165525 18.681542 24.738634 30.594117 35.355339 41.194660 47.169906
#> 45-54 45-55 45-56 45-57 45-58 45-59 45-60
#> 53.084838 59.076222 65.069194 71.112587 77.103826 83.216585 89.453899
#> 45-61 45-62 45-63 45-64 45-65 45-66 45-67
#> 95.754895 100.975244 107.517440 114.337221 121.511316 125.960311 129.653384
#> 45-68 45-69 45-70 45-71 45-72 45-73 45-74
#> 134.480482 141.315250 148.771637 155.467038 160.078106 166.012048 172.325274
#> 45-75 45-76 45-77 45-78 45-79 45-80 45-81
#> 179.011173 185.930094 192.005208 198.708329 205.827598 212.473528 209.747467
#> 45-82 45-83 45-84 45-85 45-86 45-87 45-88
#> 204.882893 200.479425 197.959592 198.436388 197.752370 196.458647 196.206524
#> 45-89 45-90 45-91 45-92 45-93 45-94 45-95
#> 190.850727 183.662734 176.025566 170.238069 165.556637 162.373027 158.549677
#> 45-96 45-97 45-98 45-99 45-100 45-101 45-102
#> 154.175225 149.913308 145.773797 140.264037 133.304163 126.372465 120.253898
#> 45-103 45-104 45-105 45-106 45-107 45-108 45-109
#> 115.000000 110.679718 107.912001 104.809351 101.965681 99.403219 97.144223
#> 45-110 45-111 45-112 45-113 45-114 45-115 45-116
#> 96.166522 96.772930 102.181212 103.247276 100.498756 94.191295 89.202018
#> 45-117 45-118 45-119 45-120 46-47 46-48 46-49
#> 83.384651 79.246451 76.655072 76.550637 6.324555 13.000000 18.973666
#> 46-50 46-51 46-52 46-53 46-54 46-55 46-56
#> 24.738634 29.427878 35.227830 41.194660 47.095647 53.084838 59.076222
#> 46-57 46-58 46-59 46-60 46-61 46-62 46-63
#> 65.122961 71.112587 77.233412 83.486526 89.805345 95.036835 101.607086
#> 46-64 46-65 46-66 46-67 46-68 46-69 46-70
#> 108.466585 115.693561 120.208153 123.975804 128.875909 135.771867 143.265488
#> 46-71 46-72 46-73 46-74 46-75 46-76 46-77
#> 149.966663 154.547727 160.461833 166.769302 173.461811 180.427271 186.552942
#> 46-78 46-79 46-80 46-81 46-82 46-83 46-84
#> 193.258894 200.392116 207.067622 204.416242 199.602104 195.233194 192.769292
#> 46-85 46-86 46-87 46-88 46-89 46-90 46-91
#> 193.352011 192.774480 191.603758 191.470624 186.171964 178.997207 171.327172
#> 46-92 46-93 46-94 46-95 46-96 46-97 46-98
#> 165.556637 160.962729 157.876534 154.175225 149.913308 145.773797 141.767415
#> 46-99 46-100 46-101 46-102 46-103 46-104 46-105
#> 136.359818 129.468143 122.613213 116.606175 111.503363 107.377838 104.809351
#> 46-106 46-107 46-108 46-109 46-110 46-111 46-112
#> 101.965681 99.403219 97.144223 95.210294 94.593869 95.524866 101.118742
#> 46-113 46-114 46-115 46-116 46-117 46-118 46-119
#> 102.489024 100.079968 94.000000 89.000000 83.024093 78.409183 75.312682
#> 46-120 47-48 47-49 47-50 47-51 47-52 47-53
#> 74.726167 6.708204 12.649111 18.439089 23.194827 29.068884 35.057096
#> 47-54 47-55 47-56 47-57 47-58 47-59 47-60
#> 41.012193 47.010637 53.009433 59.033889 65.030762 71.112587 77.317527
#> 47-61 47-62 47-63 47-64 47-65 47-66 47-67
#> 83.600239 88.814413 95.351980 102.181212 109.384642 113.885908 117.652029
#> 47-68 47-69 47-70 47-71 47-72 47-73 47-74
#> 122.560189 129.468143 136.970800 143.673240 148.246416 154.155765 160.461833
#> 47-75 47-76 47-77 47-78 47-79 47-80 47-81
#> 167.155616 174.132134 180.272017 186.978608 194.115945 200.800896 198.176689
#> 47-82 47-83 47-84 47-85 47-86 47-87 47-88
#> 193.383040 189.029098 186.590461 187.224464 186.702973 185.601724 185.539753
#> 47-89 47-90 47-91 47-92 47-93 47-94 47-95
#> 180.277564 173.112680 165.423698 159.665275 155.128979 152.108514 148.492424
#> 47-96 47-97 47-98 47-99 47-100 47-101 47-102
#> 144.312162 140.264037 136.359818 131.034347 124.201449 117.413798 111.503363
#> 47-103 47-104 47-105 47-106 47-107 47-108 47-109
#> 106.531685 102.576800 100.184829 97.575612 95.273291 93.300589 91.678787
#> 47-110 47-111 47-112 47-113 47-114 47-115 47-116
#> 91.411159 92.655275 98.412398 100.079968 98.020406 92.195445 87.206651
#> 47-117 47-118 47-119 47-120 48-49 48-50 48-51
#> 81.098705 76.026311 72.443081 71.386273 6.082763 12.041595 17.000000
#> 48-52 48-53 48-54 48-55 48-56 48-57 48-58
#> 23.021729 29.017236 35.057096 41.048752 47.042534 53.009433 59.008474
#> 48-59 48-60 48-61 48-62 48-63 48-64 48-65
#> 65.007692 71.112587 77.317527 82.492424 88.955045 95.707889 102.839681
#> 48-66 48-67 48-68 48-69 48-70 48-71 48-72
#> 107.280007 111.000000 115.879247 122.772147 130.268953 136.970800 141.548578
#> 48-73 48-74 48-75 48-76 48-77 48-78 48-79
#> 147.461859 153.769308 160.461833 167.430583 173.565550 180.272017 187.408644
#> 48-80 48-81 48-82 48-83 48-84 48-85 48-86
#> 194.092761 191.470624 186.681547 182.332115 179.902752 180.560239 180.069431
#> 48-87 48-88 48-89 48-90 48-91 48-92 48-93
#> 179.011173 178.997207 173.761331 166.604322 158.902486 153.153518 148.660687
#> 48-94 48-95 48-96 48-97 48-98 48-99 48-100
#> 145.691455 142.144293 138.032605 134.063418 130.249760 125.000000 118.224363
#> 48-101 48-102 48-103 48-104 48-105 48-106 48-107
#> 111.503363 105.688221 100.846418 97.061836 94.847246 92.477024 90.443352
#> 48-108 48-109 48-110 48-111 48-112 48-113 48-114
#> 88.769364 87.475711 87.572827 89.140339 95.047357 97.020616 95.336247
#> 48-115 48-116 48-117 48-118 48-119 48-120 49-50
#> 89.805345 84.852814 78.638413 73.109507 69.028979 67.475922 6.000000
#> 49-51 49-52 49-53 49-54 49-55 49-56 49-57
#> 11.045361 17.117243 23.086793 29.154759 35.128336 41.109610 47.042534
#> 49-58 49-59 49-60 49-61 49-62 49-63 49-64
#> 53.037722 59.000000 65.069194 71.253070 76.419893 82.873397 89.627005
#> 49-65 49-66 49-67 49-68 49-69 49-70 49-71
#> 96.772930 101.242284 105.004762 109.931797 116.867446 124.390514 131.095385
#> 49-72 49-73 49-74 49-75 49-76 49-77 49-78
#> 135.650286 141.548578 147.851277 154.547727 161.548754 167.720005 174.427635
#> 49-79 49-80 49-81 49-82 49-83 49-84 49-85
#> 181.573677 188.279048 185.714835 180.966848 176.646540 174.264167 175.011428
#> 49-86 49-87 49-88 49-89 49-90 49-91 49-92
#> 174.613860 173.666347 173.761331 168.582324 161.443489 153.717273 147.989865
#> 49-93 49-94 49-95 49-96 49-97 49-98 49-99
#> 143.586211 140.716026 137.295302 133.304163 129.468143 125.801431 120.673112
#> 49-100 49-101 49-102 49-103 49-104 49-105 49-106
#> 113.991228 107.377838 101.710373 97.061836 93.520051 91.547802 89.493016
#> 49-107 49-108 49-109 49-110 49-111 49-112 49-113
#> 87.800911 86.492774 85.586214 86.092973 88.005682 94.047860 96.332757
#> 49-114 49-115 49-116 49-117 49-118 49-119 49-120
#> 95.036835 89.822046 84.929382 78.644771 72.691127 68.117545 66.030296
#> 50-51 50-52 50-53 50-54 50-55 50-56 50-57
#> 5.099020 11.180340 17.117243 23.194827 29.154759 35.128336 41.048752
#> 50-58 50-59 50-60 50-61 50-62 50-63 50-64
#> 47.042534 53.000000 59.076222 65.276336 70.455660 76.941536 83.743656
#> 50-65 50-66 50-67 50-68 50-69 50-70 50-71
#> 90.956033 95.509162 99.368003 104.388697 111.400180 118.966382 125.674182
#> 50-72 50-73 50-74 50-75 50-76 50-77 50-78
#> 130.188325 136.058811 142.351677 149.053682 156.108936 162.339151 169.047331
#> 50-79 50-80 50-81 50-82 50-83 50-84 50-85
#> 176.207264 182.945347 180.471604 175.786803 171.510933 169.198109 170.073514
#> 50-86 50-87 50-88 50-89 50-90 50-91 50-92
#> 169.805771 169.008876 169.248338 164.146276 157.035028 149.281613 143.586211
#> 50-93 50-94 50-95 50-96 50-97 50-98 50-99
#> 139.301831 136.561342 133.304163 129.468143 125.801431 122.319254 117.345643
#> 50-100 50-101 50-102 50-103 50-104 50-105 50-106
#> 110.788086 104.316825 98.838252 94.429868 91.181138 89.493016 87.800911
#> 50-107 50-108 50-109 50-110 50-111 50-112 50-113
#> 86.492774 85.586214 85.094066 86.023253 88.277970 94.429868 97.015463
#> 50-114 50-115 50-116 50-117 50-118 50-119 50-120
#> 96.104110 91.214034 86.400231 80.081209 73.756356 68.731361 66.121101
#> 51-52 51-53 51-54 51-55 51-56 51-57 51-58
#> 6.082763 12.041595 18.110770 24.083189 30.066593 36.013886 42.011903
#> 51-59 51-60 51-61 51-62 51-63 51-64 51-65
#> 48.010416 54.147945 60.406953 65.620119 72.180330 79.075913 86.400231
#> 51-66 51-67 51-68 51-69 51-70 51-71 51-72
#> 91.082380 95.078915 100.224747 107.331263 114.947814 121.655251 126.115027
#> 51-73 51-74 51-75 51-76 51-77 51-78 51-79
#> 131.946959 138.224455 144.931018 152.052622 158.354034 165.060595 172.235304
#> 51-80 51-81 51-82 51-83 51-84 51-85 51-86
#> 179.011173 176.646540 172.037787 167.815375 165.583816 166.604322 166.481230
#> 51-87 51-88 51-89 51-90 51-91 51-92 51-93
#> 165.849329 166.243797 161.226549 154.149278 146.372812 140.716026 136.561342
#> 51-94 51-95 51-96 51-97 51-98 51-99 51-100
#> 133.958949 130.873985 127.200629 123.709337 120.415946 115.602768 109.178753
#> 51-101 51-102 51-103 51-104 51-105 51-106 51-107
#> 102.859127 97.575612 93.407708 90.443352 89.022469 87.664132 86.700634
#> 51-108 51-109 51-110 51-111 51-112 51-113 51-114
#> 86.145226 86.005814 87.281155 89.805345 96.026038 98.843310 98.234414
#> 51-115 51-116 51-117 51-118 51-119 51-120 52-53
#> 93.605555 88.865066 82.540899 75.960516 70.611614 67.601775 6.000000
#> 52-54 52-55 52-56 52-57 52-58 52-59 52-60
#> 12.041595 18.027756 24.020824 30.000000 36.000000 42.047592 48.259714
#> 52-61 52-62 52-63 52-64 52-65 52-66 52-67
#> 54.589376 59.841457 66.490601 73.498299 80.956779 85.796270 89.961103
#> 52-68 52-69 52-70 52-71 52-72 52-73 52-74
#> 95.257546 102.474387 110.145359 116.846053 121.235308 127.015747 133.270402
#> 52-75 52-76 52-77 52-78 52-79 52-80 52-81
#> 139.978570 147.176764 153.561063 160.262285 167.451486 174.269906 172.037787
#> 52-82 52-83 52-84 52-85 52-86 52-87 52-88
#> 167.523133 163.367683 161.235852 162.431524 162.483845 162.052461 162.634560
#> 52-89 52-90 52-91 52-92 52-93 52-94 52-95
#> 157.724443 150.695056 142.898565 137.295302 133.304163 130.873985 128.003906
#> 52-96 52-97 52-98 52-99 52-100 52-101 52-102
#> 124.535136 121.264174 118.207445 113.600176 107.354553 101.237345 96.208108
#> 52-103 52-104 52-105 52-106 52-107 52-108 52-109
#> 92.347171 89.738509 88.645361 87.692645 87.143560 87.005747 87.281155
#> 52-110 52-111 52-112 52-113 52-114 52-115 52-116
#> 88.955045 91.782351 98.061205 101.138519 100.881118 96.566040 91.923882
#> 52-117 52-118 52-119 52-120 53-54 53-55 53-56
#> 85.615419 78.771822 73.082146 69.634761 6.082763 12.041595 18.027756
#> 53-57 53-58 53-59 53-60 53-61 53-62 53-63
#> 24.000000 30.000000 36.055513 42.296572 48.662100 53.935146 60.638272
#> 53-64 53-65 53-66 53-67 53-68 53-69 53-70
#> 67.720012 75.272837 80.230917 84.528102 89.944427 97.247108 104.957134
#> 53-71 53-72 53-73 53-74 53-75 53-76 53-77
#> 111.646764 115.974135 121.708669 127.941393 134.647688 141.904898 148.354306
#> 53-78 53-79 53-80 53-81 53-82 53-83 53-84
#> 155.048380 162.246726 169.097605 166.976046 162.542302 158.445574 156.400128
#> 53-85 53-86 53-87 53-88 53-89 53-90 53-91
#> 157.746632 157.952525 157.699081 158.448730 153.639188 146.659470 138.852440
#> 53-92 53-93 53-94 53-95 53-96 53-97 53-98
#> 133.304163 129.468143 127.200629 124.535136 121.264174 118.207445 115.381974
#> 53-99 53-100 53-101 53-102 53-103 53-104 53-105
#> 110.981981 104.923782 99.020200 94.254973 90.708324 88.459030 87.692645
#> 53-106 53-107 53-108 53-109 53-110 53-111 53-112
#> 87.143560 87.005747 87.281155 87.965902 90.027773 93.145048 99.458534
#> 53-113 53-114 53-115 53-116 53-117 53-118 53-119
#> 102.786186 102.883429 98.898938 94.371606 88.102213 81.024688 75.026662
#> 53-120 54-55 54-56 54-57 54-58 54-59 54-60
#> 71.168813 6.000000 12.000000 18.027756 24.020824 30.149627 36.496575
#> 54-61 54-62 54-63 54-64 54-65 54-66 54-67
#> 42.953463 48.270074 55.081757 62.297673 70.007142 75.153177 79.649231
#> 54-68 54-69 54-70 54-71 54-72 54-73 54-74
#> 85.234969 92.649879 100.404183 107.070071 111.305885 116.970082 123.166554
#> 54-75 54-76 54-77 54-78 54-79 54-80 54-81
#> 129.865315 137.200583 143.735869 150.416090 157.622968 164.514437 162.542302
#> 54-82 54-83 54-84 54-85 54-86 54-87 54-88
#> 158.218204 154.201167 152.269498 153.808322 154.207652 154.175225 155.128979
#> 54-89 54-90 54-91 54-92 54-93 54-94 54-95
#> 150.446004 143.533968 135.723985 130.249760 126.605687 124.535136 122.114700
#> 54-96 54-97 54-98 54-99 54-100 54-101 54-102
#> 119.079805 116.275535 113.718952 109.562767 103.730420 98.081599 93.621579
#> 54-103 54-104 54-105 54-106 54-107 54-108 54-109
#> 90.426766 88.566359 88.141931 88.005682 88.277970 88.955045 90.027773
#> 54-110 54-111 54-112 54-113 54-114 54-115 54-116
#> 92.444578 95.817535 102.142058 105.688221 106.103723 102.420701 98.005102
#> 54-117 54-118 54-119 54-120 55-56 55-57 55-58
#> 91.787799 84.534017 78.294317 74.094534 6.000000 12.041595 18.027756
#> 55-59 55-60 55-61 55-62 55-63 55-64 55-65
#> 24.186773 30.594117 37.107951 42.449971 49.335586 56.648036 64.474801
#> 55-66 55-67 55-68 55-69 55-70 55-71 55-72
#> 69.771054 74.431176 80.156098 87.658428 95.441081 102.078401 106.230881
#> 55-73 55-74 55-75 55-76 55-77 55-78 55-79
#> 111.830228 117.991525 124.679589 132.075736 138.679487 145.344419 152.554908
#> 55-80 55-81 55-82 55-83 55-84 55-85 55-86
#> 159.477271 157.632484 153.404694 149.459024 147.627911 149.335193 149.906638
#> 55-87 55-88 55-89 55-90 55-91 55-92 55-93
#> 150.073315 151.211772 146.649241 139.807010 132.003788 126.605687 123.146255
#> 55-94 55-95 55-96 55-97 55-98 55-99 55-100
#> 121.264174 119.079805 116.275535 113.718952 111.427106 107.517440 101.921538
#> 55-101 55-102 55-103 55-104 55-105 55-106 55-107
#> 96.540147 92.395887 89.560036 88.090862 88.005682 88.277970 88.955045
#> 55-108 55-109 55-110 55-111 55-112 55-113 55-114
#> 90.027773 91.482239 94.244363 97.862148 104.177733 107.935166 108.673824
#> 55-115 55-116 55-117 55-118 55-119 55-120 56-57
#> 105.309069 101.019800 94.873600 87.464278 81.006173 76.485293 6.082763
#> 56-58 56-59 56-60 56-61 56-62 56-63 56-64
#> 12.041595 18.248288 24.738634 31.320920 36.687873 43.657760 51.078371
#> 56-65 56-66 56-67 56-68 56-69 56-70 56-71
#> 59.033889 64.498062 69.339743 75.213031 82.800966 90.603532 97.200823
#> 56-72 56-73 56-74 56-75 56-76 56-77 56-78
#> 101.257099 106.780148 112.898184 119.570063 127.027556 133.701159 140.346001
#> 56-79 56-80 56-81 56-82 56-83 56-84 56-85
#> 147.556769 154.508899 152.800524 148.677503 144.810221 143.087386 144.972411
#> 56-86 56-87 56-88 56-89 56-90 56-91 56-92
#> 145.725770 146.102704 147.434731 143.003496 136.242431 128.456218 123.146255
#> 56-93 56-94 56-95 56-96 56-97 56-98 56-99
#> 119.887447 118.207445 116.275535 113.718952 111.427106 109.416635 105.773343
#> 56-100 56-101 56-102 56-103 56-104 56-105 56-106
#> 100.439036 95.351980 91.547802 89.089842 88.022724 88.277970 88.955045
#> 56-107 56-108 56-109 56-110 56-111 56-112 56-113
#> 90.027773 91.482239 93.300589 96.384646 100.224747 106.512910 110.462663
#> 56-114 56-115 56-116 56-117 56-118 56-119 56-120
#> 111.507847 108.452755 104.292857 98.229324 90.697299 84.059503 79.259069
#> 57-58 57-59 57-60 57-61 57-62 57-63 57-64
#> 6.000000 12.165525 18.681542 25.298221 30.675723 37.696154 45.188494
#> 57-65 57-66 57-67 57-68 57-69 57-70 57-71
#> 53.235327 58.830264 63.820060 69.814039 77.466122 85.276022 91.831367
#> 57-72 57-73 57-74 57-75 57-76 57-77 57-78
#> 95.801879 101.257099 107.335921 113.991228 121.494856 128.222463 134.848063
#> 57-79 57-80 57-81 57-82 57-83 57-84 57-85
#> 142.056327 149.030198 147.434731 143.401534 139.603009 137.974635 140.014285
#> 57-86 57-87 57-88 57-89 57-90 57-91 57-92
#> 140.929060 141.495583 143.003496 138.697513 132.018938 124.257797 119.037809
#> 57-93 57-94 57-95 57-96 57-97 57-98 57-99
#> 115.974135 114.490174 112.805142 110.494344 108.466585 106.737997 103.368274
#> 57-100 57-101 57-102 57-103 57-104 57-105 57-106
#> 98.310732 93.536089 90.088845 88.022724 87.367042 87.965902 89.050547
#> 57-107 57-108 57-109 57-110 57-111 57-112 57-113
#> 90.520716 92.357999 94.540996 97.943861 102.000000 108.240473 112.378824
#> 57-114 57-115 57-116 57-117 57-118 57-119 57-120
#> 113.740934 111.018017 107.004673 101.044545 93.407708 86.608314 81.541401
#> 58-59 58-60 58-61 58-62 58-63 58-64 58-65
#> 6.324555 13.000000 19.697716 25.079872 32.202484 39.824616 48.020829
#> 58-66 58-67 58-68 58-69 58-70 58-71 58-72
#> 53.823787 59.033889 65.192024 72.917762 80.721744 87.206651 91.049437
#> 58-73 58-74 58-75 58-76 58-77 58-78 58-79
#> 96.400207 102.415819 109.041277 116.606175 123.405835 130.000000 137.200583
#> 58-80 58-81 58-82 58-83 58-84 58-85 58-86
#> 144.201248 142.762040 138.852440 135.148067 133.645052 135.882302 137.000000
#> 58-87 58-88 58-89 58-90 58-91 58-92 58-93
#> 137.800581 139.520608 135.369864 128.798292 121.078487 115.974135 113.145923
#> 58-94 58-95 58-96 58-97 58-98 58-99 58-100
#> 111.892806 110.494344 108.466585 106.737997 105.323312 102.259474 97.514102
#> 58-101 58-102 58-103 58-104 58-105 58-106 58-107
#> 93.085982 90.022219 88.362888 88.119237 89.050547 90.520716 92.357999
#> 58-108 58-109 58-110 58-111 58-112 58-113 58-114
#> 94.540996 97.046381 100.722391 104.957134 111.139552 115.433964 117.068356
#> 58-115 58-116 58-117 58-118 58-119 58-120 59-60
#> 114.634201 110.751975 104.890419 97.185390 90.271812 85.000000 6.708204
#> 59-61 59-62 59-63 59-64 59-65 59-66 59-67
#> 13.416408 18.788294 25.942244 33.615473 41.880783 47.801674 53.150729
#> 59-68 59-69 59-70 59-71 59-72 59-73 59-74
#> 59.413803 67.178866 74.966659 81.394103 85.146932 90.426766 96.400207
#> 59-75 59-76 59-77 59-78 59-79 59-80 59-81
#> 103.004854 110.602893 117.443603 124.016128 131.209756 138.224455 136.883162
#> 59-82 59-83 59-84 59-85 59-86 59-87 59-88
#> 133.056379 129.417928 128.003906 130.384048 131.654852 132.638607 134.528807
#> 59-89 59-90 59-91 59-92 59-93 59-94 59-95
#> 130.510536 124.036285 116.361506 111.364267 108.747414 107.703296 106.569226
#> 59-96 59-97 59-98 59-99 59-100 59-101 59-102
#> 104.809351 103.368274 102.259474 99.503769 95.084173 91.021975 88.362888
#> 59-103 59-104 59-105 59-106 59-107 59-108 59-109
#> 87.132084 87.321246 88.600226 90.476516 92.703829 95.257546 98.112181
#> 59-110 59-111 59-112 59-113 59-114 59-115 59-116
#> 102.083299 106.508216 112.605506 117.068356 119.016806 116.931604 113.216607
#> 59-117 59-118 59-119 59-120 60-61 60-62 60-63
#> 107.489534 99.724621 92.698436 87.206651 6.708204 12.083046 19.235384
#> 60-64 60-65 60-66 60-67 60-68 60-69 60-70
#> 26.925824 35.227830 41.231056 46.690470 53.037722 60.827625 68.593003
#> 60-71 60-72 60-73 60-74 60-75 60-76 60-77
#> 74.966659 78.644771 83.868945 89.810912 96.400207 104.019229 110.887330
#> 60-78 60-79 60-80 60-81 60-82 60-83 60-84
#> 117.443603 124.631457 131.654852 130.384048 126.621483 123.036580 121.696343
#> 60-85 60-86 60-87 60-88 60-89 60-90 60-91
#> 124.197423 125.602548 126.751726 128.798292 124.907966 118.532696 110.909873
#> 60-92 60-93 60-94 60-95 60-96 60-97 60-98
#> 106.023582 103.619496 102.786186 101.921538 100.439036 99.297533 98.508883
#> 60-99 60-100 60-101 60-102 60-103 60-104 60-105
#> 96.083297 92.021737 88.362888 86.145226 85.375641 86.023253 87.664132
#> 60-106 60-107 60-108 60-109 60-110 60-111 60-112
#> 89.961103 92.590496 95.524866 98.737024 103.004854 107.615055 113.600176
#> 60-113 60-114 60-115 60-116 60-117 60-118 60-119
#> 118.228592 120.507261 118.802357 115.277925 109.713263 101.911727 94.794515
#> 60-120 61-62 61-63 61-64 61-65 61-66 61-67
#> 89.095454 5.385165 12.529964 20.248457 28.600699 34.713110 40.311289
#> 61-68 61-69 61-70 61-71 61-72 61-73 61-74
#> 46.754679 54.561891 62.289646 68.593003 72.180330 77.336925 83.240615
#> 61-75 61-76 61-77 61-78 61-79 61-80 61-81
#> 89.810912 97.452553 104.350371 110.887330 118.067777 125.099960 123.907223
#> 61-82 61-83 61-84 61-85 61-86 61-87 61-88
#> 120.216471 116.691902 115.433964 118.067777 119.620232 120.950403 123.166554
#> 61-89 61-90 61-91 61-92 61-93 61-94 61-95
#> 119.419429 113.159180 105.603030 100.846418 98.681305 98.081599 97.514102
#> 61-96 61-97 61-98 61-99 61-100 61-101 61-102
#> 96.337947 95.524866 95.084173 93.021503 89.358827 86.145226 84.403791
#> 61-103 61-104 61-105 61-106 61-107 61-108 61-109
#> 84.118963 85.234969 87.235314 89.944427 92.962358 96.260064 99.809819
#> 61-110 61-111 61-112 61-113 61-114 61-115 61-116
#> 104.350371 109.123783 114.978259 119.753914 122.347865 121.016528 117.686023
#> 61-117 61-118 61-119 61-120 62-63 62-64 62-65
#> 112.294256 104.484449 97.308787 91.438504 7.211103 15.000000 23.430749
#> 62-66 62-67 62-68 62-69 62-70 62-71 62-72
#> 29.698485 35.468296 42.011903 49.819675 57.489129 63.702433 67.178866
#> 62-73 62-74 62-75 62-76 62-77 62-78 62-79
#> 72.249567 78.102497 84.646323 92.314679 99.247166 105.759160 112.929181
#> 62-80 62-81 62-82 62-83 62-84 62-85 62-86
#> 119.970830 118.869677 115.260574 111.803399 110.634533 113.406349 115.108644
#> 62-87 62-88 62-89 62-90 62-91 62-92 62-93
#> 116.619038 119.000000 115.394974 109.252002 101.769347 97.144223 95.210294
#> 62-94 62-95 62-96 62-97 62-98 62-99 62-100
#> 94.831429 94.540996 93.648278 93.134312 93.005376 91.268834 87.965902
#> 62-101 62-102 62-103 62-104 62-105 62-106 62-107
#> 85.146932 83.815273 83.934498 85.428333 87.709749 90.735880 94.047860
#> 62-108 62-109 62-110 62-111 62-112 62-113 62-114
#> 97.616597 101.414989 106.150836 111.036030 116.777566 121.655251 124.482931
#> 62-115 62-116 62-117 62-118 62-119 62-120 63-64
#> 123.434193 120.253898 115.000000 107.200746 100.000000 94.021274 7.810250
#> 63-65 63-66 63-67 63-68 63-69 63-70 63-71
#> 16.278821 22.671568 28.600699 35.227830 43.011626 50.606324 56.727418
#> 63-72 63-73 63-74 63-75 63-76 63-77 63-78
#> 60.108236 65.115282 70.936591 77.466122 85.146932 92.097774 98.595132
#> 63-79 63-80 63-81 63-82 63-83 63-84 63-85
#> 105.759160 112.805142 111.758669 108.208133 104.804580 103.711137 106.606754
#> 63-86 63-87 63-88 63-89 63-90 63-91 63-92
#> 108.452755 110.145359 112.698713 109.252002 103.247276 95.859272 91.394748
#> 63-93 63-94 63-95 63-96 63-97 63-98 63-99
#> 89.738509 89.627005 89.677199 89.140339 89.005618 89.274856 87.965902
#> 63-100 63-101 63-102 63-103 63-104 63-105 63-106
#> 85.146932 82.861330 82.079230 82.734515 84.723078 87.367042 90.801982
#> 63-107 63-108 63-109 63-110 63-111 63-112 63-113
#> 94.493386 98.412398 102.532922 107.517440 112.538882 118.105885 123.109707
#> 63-114 63-115 63-116 63-117 63-118 63-119 63-120
#> 126.253713 125.602548 122.641755 117.596769 109.836242 102.625533 96.519428
#> 64-65 64-66 64-67 64-68 64-69 64-70 64-71
#> 8.485281 15.000000 21.095023 27.784888 35.510562 43.011626 49.040799
#> 64-72 64-73 64-74 64-75 64-76 64-77 64-78
#> 52.345009 57.314920 63.126856 69.656299 77.336925 84.291162 90.785461
#> 64-79 64-80 64-81 64-82 64-83 64-84 64-85
#> 97.948966 104.995238 103.966341 100.448992 97.082439 96.046864 99.045444
#> 64-86 64-87 64-88 64-89 64-90 64-91 64-92
#> 101.019800 102.883429 105.603030 102.318131 96.462428 89.185201 84.899941
#> 64-93 64-94 64-95 64-96 64-97 64-98 64-99
#> 83.546394 83.725743 84.148678 84.005952 84.291162 85.000000 84.172442
#> 64-100 64-101 64-102 64-103 64-104 64-105 64-106
#> 81.908486 80.230917 80.062476 81.301906 83.815273 86.833173 90.686272
#> 64-107 64-108 64-109 64-110 64-111 64-112 64-113
#> 94.762862 99.035347 103.479467 108.706026 113.850780 119.205705 124.326184
#> 64-114 64-115 64-116 64-117 64-118 64-119 64-120
#> 127.800626 127.581347 124.867930 120.066648 112.378824 105.190304 98.979796
#> 65-66 65-67 65-68 65-69 65-70 65-71 65-72
#> 6.708204 13.000000 19.697716 27.294688 34.669872 40.607881 43.863424
#> 65-73 65-74 65-75 65-76 65-77 65-78 65-79
#> 48.836462 54.671748 61.220911 68.883960 75.822160 82.328610 89.498603
#> 65-80 65-81 65-82 65-83 65-84 65-85 65-86
#> 96.540147 95.482983 91.967386 88.617154 87.618491 90.697299 92.784697
#> 65-87 65-88 65-89 65-90 65-91 65-92 65-93
#> 94.810337 97.693398 94.578010 88.887569 81.743501 77.665951 76.655072
#> 65-94 65-95 65-96 65-97 65-98 65-99 65-100
#> 77.162167 78.006410 78.313473 79.075913 80.280757 80.006250 78.390050
#> 65-101 65-102 65-103 65-104 65-105 65-106 65-107
#> 77.414469 77.935871 79.812280 82.879430 86.278618 90.553851 95.015788
#> 65-108 65-109 65-110 65-111 65-112 65-113 65-114
#> 99.639350 104.403065 109.859001 115.108644 120.208153 125.431256 129.247824
#> 65-115 65-116 65-117 65-118 65-119 65-120 66-67
#> 129.495174 127.059041 122.539789 114.965212 107.837841 101.552942 6.324555
#> 66-68 66-69 66-70 66-71 66-72 66-73 66-74
#> 13.000000 20.591260 28.017851 34.058773 37.483330 42.638011 48.600412
#> 66-75 66-76 66-77 66-78 66-79 66-80 66-81
#> 55.217751 62.801274 69.656299 76.216796 83.408633 90.426766 89.196412
#> 66-82 66-83 66-84 66-85 66-86 66-87 66-88
#> 85.562842 82.134037 81.055537 84.053554 86.092973 88.102213 91.000000
#> 66-89 66-90 66-91 66-92 66-93 66-94 66-95
#> 87.920419 82.280010 75.186435 71.196910 70.349129 71.028163 72.111026
#> 66-96 66-97 66-98 66-99 66-100 66-101 66-102
#> 72.691127 73.756356 75.286121 75.392307 74.242845 73.783467 74.813100
#> 66-103 66-104 66-105 66-106 66-107 66-108 66-109
#> 77.155687 80.622577 84.291162 88.865066 93.600214 98.473347 103.464970
#> 66-110 66-111 66-112 66-113 66-114 66-115 66-116
#> 109.077954 114.389685 119.268604 124.555209 128.631256 129.251692 127.047235
#> 66-117 66-118 66-119 66-120 67-68 67-69 67-70
#> 122.772147 115.316955 108.268186 101.950969 6.708204 14.422205 22.022716
#> 67-71 67-72 67-73 67-74 67-75 67-76 67-77
#> 28.284271 32.015621 37.443290 43.566042 50.249378 57.688820 64.404969
#> 67-78 67-79 67-80 67-81 67-82 67-83 67-84
#> 71.028163 78.236820 85.211502 83.737686 79.931220 76.380626 75.166482
#> 67-85 67-86 67-87 67-88 67-89 67-90 67-91
#> 78.006410 79.924965 81.841310 84.693565 81.596569 75.960516 68.883960
#> 67-92 67-93 67-94 67-95 67-96 67-97 67-98
#> 64.938432 64.195015 65.000000 66.272166 67.082039 68.410526 70.228199
#> 67-99 67-100 67-101 67-102 67-103 67-104 67-105
#> 70.682388 69.971423 70.000000 71.505245 74.276510 78.102497 82.006097
#> 67-106 67-107 67-108 67-109 67-110 67-111 67-112
#> 86.838931 91.809586 96.896852 102.083299 107.823931 113.176853 117.834630
#> 67-113 67-114 67-115 67-116 67-117 67-118 67-119
#> 123.166554 127.475488 128.444541 126.463433 122.429572 115.108644 108.157293
#> 67-120 68-69 68-70 68-71 68-72 68-73 68-74
#> 101.833197 7.810250 15.556349 22.022716 26.076810 31.764760 38.013156
#> 68-75 68-76 68-77 68-78 68-79 68-80 68-81
#> 44.721360 51.971146 58.523500 65.192024 72.401657 79.322128 77.620873
#> 68-82 68-83 68-84 68-85 68-86 68-87 68-88
#> 73.661387 70.007142 68.680419 71.400280 73.246160 75.133215 78.000000
#> 68-89 68-90 68-91 68-92 68-93 68-94 68-95
#> 74.946648 69.375788 62.369865 58.549125 58.034473 59.076222 60.671245
#> 68-96 68-97 68-98 68-99 68-100 68-101 68-102
#> 61.846584 63.568860 65.795137 66.730802 66.610810 67.268120 69.354164
#> 68-103 68-104 68-105 68-106 68-107 68-108 68-109
#> 72.622311 76.843998 80.993827 86.092973 91.301698 96.602277 101.980390
#> 68-110 68-111 68-112 68-113 68-114 68-115 68-116
#> 107.837841 113.216607 117.618026 122.983739 127.534309 128.875909 127.137721
#> 68-117 68-118 68-119 68-120 69-70 69-71 69-72
#> 123.369364 116.211015 109.384642 103.077641 7.810250 14.422205 18.788294
#> 69-73 69-74 69-75 69-76 69-77 69-78 69-79
#> 24.698178 31.016125 37.696154 44.721360 51.107729 57.801384 65.000000
#> 69-80 69-81 69-82 69-83 69-84 69-85 69-86
#> 71.867934 70.000000 65.946948 62.241465 60.876925 63.600314 65.513357
#> 69-87 69-88 69-89 69-90 69-91 69-92 69-93
#> 67.542579 70.576200 67.720012 62.369865 55.578773 52.086467 52.086467
#> 69-94 69-95 69-96 69-97 69-98 69-99 69-100
#> 53.600373 55.785303 57.584720 59.933296 62.769419 64.404969 65.115282
#> 69-101 69-102 69-103 69-104 69-105 69-106 69-107
#> 66.603303 69.404611 73.246160 77.897368 82.298238 87.664132 93.107465
#> 69-108 69-109 69-110 69-111 69-112 69-113 69-114
#> 98.615415 104.177733 110.136279 115.520561 119.620232 125.004000 129.807550
#> 69-115 69-116 69-117 69-118 69-119 69-120 70-71
#> 131.552271 130.080744 126.605687 119.641130 112.969022 106.705201 6.708204
#> 70-72 70-73 70-74 70-75 70-76 70-77 70-78
#> 11.401754 17.464249 23.769729 30.364453 37.161808 43.416587 50.119856
#> 70-79 70-80 70-81 70-82 70-83 70-84 70-85
#> 57.306195 64.140471 62.201286 58.137767 54.451814 53.150729 56.035703
#> 70-86 70-87 70-88 70-89 70-90 70-91 70-92
#> 58.180753 60.539243 63.890531 61.392182 56.435804 50.039984 47.095647
#> 70-93 70-94 70-95 70-96 70-97 70-98 70-99
#> 47.853944 50.000000 52.924474 55.470713 58.523500 62.008064 64.381674
#> 70-100 70-101 70-102 70-103 70-104 70-105 70-106
#> 65.946948 68.242216 71.693793 76.026311 81.024688 85.615419 91.181138
#> 70-107 70-108 70-109 70-110 70-111 70-112 70-113
#> 96.798760 102.459748 108.157293 114.179683 119.549153 123.369364 128.751699
#> 70-114 70-115 70-116 70-117 70-118 70-119 70-120
#> 133.764719 135.856542 134.617978 131.400152 124.615408 118.088950 111.879399
#> 71-72 71-73 71-74 71-75 71-76 71-77 71-78
#> 5.000000 11.045361 17.262677 23.769729 30.463092 36.715120 43.416587
#> 71-79 71-80 71-81 71-82 71-83 71-84 71-85
#> 50.606324 57.454330 55.605755 51.662365 48.104054 47.010637 50.249378
#> 71-86 71-87 71-88 71-89 71-90 71-91 71-92
#> 52.801515 55.659680 59.439044 57.428216 53.009433 47.169906 44.911023
#> 71-93 71-94 71-95 71-96 71-97 71-98 71-99
#> 46.486557 49.244289 52.839379 56.035703 59.665736 63.655322 66.603303
#> 71-100 71-101 71-102 71-103 71-104 71-105 71-106
#> 68.818602 71.693793 75.584390 80.230917 85.440037 90.138782 95.817535
#> 71-107 71-108 71-109 71-110 71-111 71-112 71-113
#> 101.533246 107.280007 113.053085 119.104996 124.454811 128.082005 133.454112
#> 71-114 71-115 71-116 71-117 71-118 71-119 71-120
#> 138.600144 140.918416 139.832042 136.780847 130.115333 123.685084 117.515956
#> 72-73 72-74 72-75 72-76 72-77 72-78 72-79
#> 6.082763 12.369317 18.973666 25.942244 32.449961 39.115214 46.324939
#> 72-80 72-81 72-82 72-83 72-84 72-85 72-86
#> 53.254108 51.739733 48.104054 44.821870 44.102154 47.853944 50.921508
#> 72-87 72-88 72-89 72-90 72-91 72-92 72-93
#> 54.341513 58.549125 57.035077 53.150729 47.853944 46.173586 48.332184
#> 72-94 72-95 72-96 72-97 72-98 72-99 72-100
#> 51.478151 55.470713 59.033889 62.968246 67.208630 70.434367 72.945185
#> 72-101 72-102 72-103 72-104 72-105 72-106 72-107
#> 76.059187 80.112421 84.864598 90.138782 94.868330 100.578328 106.320271
#> 72-108 72-109 72-110 72-111 72-112 72-113 72-114
#> 112.089250 117.881296 123.939501 129.282636 132.853303 138.220838 143.405021
#> 72-115 72-116 72-117 72-118 72-119 72-120 73-74
#> 145.784087 144.734239 141.718030 135.074054 128.658463 122.494898 6.324555
#> 73-75 73-76 73-77 73-78 73-79 73-80 73-81
#> 13.000000 20.248457 27.018512 33.600595 40.804412 47.801674 46.669048
#> 73-82 73-83 73-84 73-85 73-86 73-87 73-88
#> 43.416587 40.496913 40.249224 44.598206 48.270074 52.345009 57.035077
#> 73-89 73-90 73-91 73-92 73-93 73-94 73-95
#> 56.142675 52.952809 48.383882 47.423623 50.249378 53.823787 58.258047
#> 73-96 73-97 73-98 73-99 73-100 73-101 73-102
#> 62.241465 66.528190 71.063352 74.632433 77.524190 80.956779 85.234969
#> 73-103 73-104 73-105 73-106 73-107 73-108 73-109
#> 90.138782 95.509162 100.284595 106.042444 111.825757 117.630778 123.454445
#> 73-110 73-111 73-112 73-113 73-114 73-115 73-116
#> 129.522199 134.851770 138.322088 143.680200 148.929514 151.419946 150.442680
#> 73-117 73-118 73-119 73-120 74-75 74-76 74-77
#> 147.502542 140.911320 134.536240 128.390031 6.708204 14.212670 21.213203
#> 74-78 74-79 74-80 74-81 74-82 74-83 74-84
#> 27.658633 34.828150 41.868843 41.109610 38.275318 35.777088 36.055513
#> 74-85 74-86 74-87 74-88 74-89 74-90 74-91
#> 41.000000 45.276926 50.000000 55.145263 54.918121 52.497619 48.754487
#> 74-92 74-93 74-94 74-95 74-96 74-97 74-98
#> 48.548944 52.009614 55.973208 60.811183 65.192024 69.814039 74.632433
#> 74-99 74-100 74-101 74-102 74-103 74-104 74-105
#> 78.549348 81.841310 85.615419 90.138782 95.210294 100.687636 105.513032
#> 74-106 74-107 74-108 74-109 74-110 74-111 74-112
#> 111.323852 117.153745 123.000000 128.860390 134.937022 140.246212 143.586211
#> 74-113 74-114 74-115 74-116 74-117 74-118 74-119
#> 148.929514 154.259522 156.894869 156.016025 153.182897 146.669697 140.356688
#> 74-120 75-76 75-77 75-78 75-79 75-80 75-81
#> 134.238594 7.810250 15.000000 21.213203 28.319605 35.383612 35.000000
#> 75-82 75-83 75-84 75-85 75-86 75-87 75-88
#> 32.649655 30.675723 31.575307 37.121422 42.011903 47.381431 52.952809
#> 75-89 75-90 75-91 75-92 75-93 75-94 75-95
#> 53.450912 51.894123 49.091751 49.678969 53.740115 58.051701 63.253458
#> 75-96 75-97 75-98 75-99 75-100 75-101 75-102
#> 68.007353 72.945185 78.032045 82.298238 86.005814 90.138782 94.921020
#> 75-103 75-104 75-105 75-106 75-107 75-108 75-109
#> 100.169856 105.759160 110.634533 116.498927 122.376468 128.265350 134.164079
#> 75-110 75-111 75-112 75-113 75-114 75-115 75-116
#> 140.246212 145.526630 148.707767 154.029218 159.452187 162.262134 161.505418
#> 75-117 75-118 75-119 75-120 76-77 76-78 76-79
#> 158.808060 152.397507 146.167712 140.089257 7.211103 13.453624 20.615528
#> 76-80 76-81 76-82 76-83 76-84 76-85 76-86
#> 27.658633 27.202941 25.079872 23.537205 25.019992 31.064449 36.496575
#> 76-87 76-88 76-89 76-90 76-91 76-92 76-93
#> 42.449971 48.383882 49.658836 49.091751 47.423623 48.918299 53.600373
#> 76-94 76-95 76-96 76-97 76-98 76-99 76-100
#> 58.249464 63.812225 68.963759 74.242845 79.624117 84.308956 88.543774
#> 76-101 76-102 76-103 76-104 76-105 76-106 76-107
#> 93.145048 98.270036 103.754518 109.489726 114.424648 120.353646 126.289350
#> 76-108 76-109 76-110 76-111 76-112 76-113 76-114
#> 132.230859 138.177422 144.256716 149.482440 152.410630 157.689568 163.248277
#> 76-115 76-116 76-117 76-118 76-119 76-120 77-78
#> 166.330995 165.773942 163.306460 157.079598 151.003311 145.003448 6.708204
#> 77-79 77-80 77-81 77-82 77-83 77-84 77-85
#> 13.892444 20.808652 20.000000 18.027756 17.029386 19.235384 25.709920
#> 77-86 77-87 77-88 77-89 77-90 77-91 77-92
#> 31.622777 38.078866 44.283180 46.324939 46.754679 46.227697 48.548944
#> 77-93 77-94 77-95 77-96 77-97 77-98 77-99
#> 53.712196 58.591808 64.404969 69.856997 75.392307 80.993827 86.023253
#> 77-100 77-101 77-102 77-103 77-104 77-105 77-106
#> 90.708324 95.707889 101.118742 106.794195 112.641023 117.613775 123.583980
#> 77-107 77-108 77-109 77-110 77-111 77-112 77-113
#> 129.556937 135.532284 141.509717 147.573710 152.738338 155.425223 160.654910
#> 77-114 77-115 77-116 77-117 77-118 77-119 77-120
#> 166.330995 169.664375 169.295599 167.047897 161.003106 155.080624 149.164339
#> 78-79 78-80 78-81 78-82 78-83 78-84 78-85
#> 7.211103 14.212670 14.317821 14.000000 14.866069 18.357560 25.059928
#> 78-86 78-87 78-88 78-89 78-90 78-91 78-92
#> 31.384710 38.275318 44.654227 47.507894 48.918299 49.396356 52.325902
#> 78-93 78-94 78-95 78-96 78-97 78-98 78-99
#> 57.775427 62.769419 68.709534 74.330344 80.006250 85.726309 90.956033
#> 78-100 78-101 78-102 78-103 78-104 78-105 78-106
#> 95.900991 101.118742 106.677083 112.445542 118.342723 123.328829 129.313572
#> 78-107 78-108 78-109 78-110 78-111 78-112 78-113
#> 135.299667 141.286942 147.275253 153.326449 158.455041 161.009317 166.207701
#> 78-114 78-115 78-116 78-117 78-118 78-119 78-120
#> 171.944759 175.410946 175.139944 173.002890 167.047897 161.198635 155.322246
#> 79-80 79-81 79-82 79-83 79-84 79-85 79-86
#> 7.071068 9.000000 11.661904 14.866069 19.209373 25.455844 31.827661
#> 79-87 79-88 79-89 79-90 79-91 79-92 79-93
#> 38.897301 45.276926 48.918299 51.312766 52.801515 56.302753 61.983869
#> 79-94 79-95 79-96 79-97 79-98 79-99 79-100
#> 67.052218 73.082146 78.847955 84.646323 90.470990 95.900991 101.118742
#> 79-101 79-102 79-103 79-104 79-105 79-106 79-107
#> 106.569226 112.285351 118.152444 124.100766 129.096863 135.092561 141.088625
#> 79-108 79-109 79-110 79-111 79-112 79-113 79-114
#> 147.085009 153.081678 159.113167 164.195006 166.589315 171.746907 177.552809
#> 79-115 79-116 79-117 79-118 79-119 79-120 80-81
#> 181.176709 181.024860 179.025138 173.184872 167.430583 161.607549 6.403124
#> 80-82 80-83 80-84 80-85 80-86 80-87 80-88
#> 12.083046 16.763055 21.189620 26.419690 32.449961 39.408121 45.607017
#> 80-89 80-90 80-91 80-92 80-93 80-94 80-95
#> 49.929951 53.225934 55.659680 59.665736 65.513357 70.611614 76.687678
#> 80-96 80-97 80-98 80-99 80-100 80-101 80-102
#> 82.565126 88.459030 94.366308 99.984999 105.475116 111.162044 117.038455
#> 80-103 80-104 80-105 80-106 80-107 80-108 80-109
#> 123.004065 129.000000 134.000000 140.000000 146.000000 152.000000 158.000000
#> 80-110 80-111 80-112 80-113 80-114 80-115 80-116
#> 164.003049 169.026625 171.236678 176.343415 182.222392 186.024192 186.010752
#> 80-117 80-118 80-119 80-120 81-82 81-83 81-84
#> 184.173831 178.474088 172.838075 167.083811 6.082763 11.045361 15.297059
#> 81-85 81-86 81-87 81-88 81-89 81-90 81-91
#> 20.124612 26.076810 33.015148 39.204592 43.566042 47.010637 49.729267
#> 81-92 81-93 81-94 81-95 81-96 81-97 81-98
#> 53.935146 59.841457 64.938432 71.021124 76.941536 82.873397 88.814413
#> 81-99 81-100 81-101 81-102 81-103 81-104 81-105
#> 94.530418 100.179838 106.018866 112.004464 118.038129 124.064499 129.062001
#> 81-106 81-107 81-108 81-109 81-110 81-111 81-112
#> 135.059246 141.056726 147.054412 153.052279 159.028299 164.003049 166.075284
#> 81-113 81-114 81-115 81-116 81-117 81-118 81-119
#> 171.143215 177.070607 181.002762 181.099420 179.401784 173.833253 168.315181
#> 81-120 82-83 82-84 82-85 82-86 82-87 82-88
#> 162.634560 5.000000 9.219544 14.422205 20.615528 27.658633 33.970576
#> 82-89 82-90 82-91 82-92 82-93 82-94 82-95
#> 38.013156 41.146081 43.680659 47.853944 53.758720 58.855756 64.938432
#> 82-96 82-97 82-98 82-99 82-100 82-101 82-102
#> 70.859015 76.791927 82.734515 88.459030 94.132885 100.005000 106.018866
#> 82-103 82-104 82-105 82-106 82-107 82-108 82-109
#> 112.071406 118.105885 123.101584 129.096863 135.092561 141.088625 147.085009
#> 82-110 82-111 82-112 82-113 82-114 82-115 82-116
#> 153.052279 158.012658 160.049992 165.109055 171.046777 175.011428 175.139944
#> 82-117 82-118 82-119 82-120 83-84 83-85 83-86
#> 173.487752 167.967259 162.496154 156.847059 4.472136 10.630146 17.029386
#> 83-87 83-88 83-89 83-90 83-91 83-92 83-93
#> 24.083189 30.479501 34.058773 36.715120 38.897301 42.953463 48.836462
#> 83-94 83-95 83-96 83-97 83-98 83-99 83-100
#> 53.935146 60.016664 65.924199 71.847060 77.781746 83.486526 89.140339
#> 83-101 83-102 83-103 83-104 83-105 83-106 83-107
#> 95.005263 101.019800 107.074740 113.110565 118.105885 124.100766 130.096118
#> 83-108 83-109 83-110 83-111 83-112 83-113 83-114
#> 136.091881 142.088001 148.054044 153.013071 155.051604 160.112460 166.048186
#> 83-115 83-116 83-117 83-118 83-119 83-120 84-85
#> 170.011764 170.144057 168.502226 162.996932 157.543645 151.907867 6.708204
#> 84-86 84-87 84-88 84-89 84-90 84-91 84-92
#> 13.038405 20.000000 26.400758 29.732137 32.249031 34.481879 38.639358
#> 84-93 84-94 84-95 84-96 84-97 84-98 84-99
#> 44.553339 49.648766 55.731499 61.660360 67.601775 73.552702 79.309520
#> 84-100 84-101 84-102 84-103 84-104 84-105 84-106
#> 85.052925 91.005494 97.082439 103.174609 109.224539 114.214710 120.203993
#> 84-107 84-108 84-109 84-110 84-111 84-112 84-113
#> 126.194295 132.185476 138.177422 144.124946 149.053682 151.013244 156.051274
#> 84-114 84-115 84-116 84-117 84-118 84-119 84-120
#> 162.012345 166.048186 166.243797 164.684547 159.260792 153.883072 148.296999
#> 85-86 85-87 85-88 85-89 85-90 85-91 85-92
#> 6.403124 13.453624 19.849433 23.600847 26.925824 30.265492 35.014283
#> 85-93 85-94 85-95 85-96 85-97 85-98 85-99
#> 41.012193 46.043458 52.086467 58.077534 64.070274 70.064256 76.006579
#> 85-100 85-101 85-102 85-103 85-104 85-105 85-106
#> 82.054860 88.277970 94.530418 100.717426 106.794195 111.758669 117.720007
#> 85-107 85-108 85-109 85-110 85-111 85-112 85-113
#> 123.685084 129.653384 135.624482 141.509717 146.342065 148.054044 153.013071
#> 85-114 85-115 85-116 85-117 85-118 85-119 85-120
#> 159.050307 163.306460 163.688729 162.363789 157.165518 151.990131 146.536685
#> 86-87 86-88 86-89 86-90 86-91 86-92 86-93
#> 7.071068 13.453624 17.492856 21.587033 26.019224 31.256999 37.215588
#> 86-94 86-95 86-96 86-97 86-98 86-99 86-100
#> 42.107007 48.041649 54.037024 60.033324 66.030296 72.111026 78.409183
#> 86-101 86-102 86-103 86-104 86-105 86-106 86-107
#> 84.852814 91.241438 97.493590 103.576059 108.503456 114.424648 120.353646
#> 86-108 86-109 86-110 86-111 86-112 86-113 86-114
#> 126.289350 132.230859 138.050715 142.790056 144.280976 149.164339 155.261070
#> 86-115 86-116 86-117 86-118 86-119 86-120 87-88
#> 159.705980 160.252925 159.138305 154.149278 149.164339 143.840189 6.403124
#> 87-89 87-90 87-91 87-92 87-93 87-94 87-95
#> 10.770330 16.000000 21.840330 27.513633 33.241540 37.854986 43.566042
#> 87-96 87-97 87-98 87-99 87-100 87-101 87-102
#> 49.497475 55.443665 61.400326 67.601775 74.148500 80.808415 87.321246
#> 87-103 87-104 87-105 87-106 87-107 87-108 87-109
#> 93.621579 99.689518 104.560987 110.421918 116.297033 122.184287 128.082005
#> 87-110 87-111 87-112 87-113 87-114 87-115 87-116
#> 133.820776 138.452158 139.703257 144.499135 150.651917 155.293271 156.016025
#> 87-117 87-118 87-119 87-120 88-89 88-90 88-91
#> 155.128979 150.372870 145.602198 140.427917 6.082763 13.000000 20.248457
#> 88-92 88-93 88-94 88-95 88-96 88-97 88-98
#> 26.076810 31.304952 35.468296 40.804412 46.572524 52.392748 58.249464
#> 88-99 88-100 88-101 88-102 88-103 88-104 88-105
#> 64.536811 71.309186 78.160092 84.770278 91.093359 97.123633 101.921538
#> 88-106 88-107 88-108 88-109 88-110 88-111 88-112
#> 107.703296 113.507709 119.331471 125.171882 130.816666 135.329228 136.330481
#> 88-113 88-114 88-115 88-116 88-117 88-118 88-119
#> 141.028366 147.231111 152.069063 152.970585 152.315462 147.800541 143.251527
#> 88-120 89-90 89-91 89-92 89-93 89-94 89-95
#> 138.235307 7.211103 14.866069 20.615528 25.553865 29.546573 34.785054
#> 89-96 89-97 89-98 89-99 89-100 89-101 89-102
#> 40.521599 46.324939 52.172790 58.463664 65.253352 72.124892 78.746428
#> 89-103 89-104 89-105 89-106 89-107 89-108 89-109
#> 85.070559 91.093359 95.880134 101.651365 107.447662 113.265176 119.100798
#> 89-110 89-111 89-112 89-113 89-114 89-115 89-116
#> 124.739729 129.247824 130.249760 134.951843 141.152400 145.986301 146.891116
#> 89-117 89-118 89-119 89-120 90-91 90-92 90-93
#> 146.249786 141.760361 137.244308 132.257325 7.810250 13.453624 18.357560
#> 90-94 90-95 90-96 90-97 90-98 90-99 90-100
#> 22.472205 27.892651 33.734256 39.623226 45.541190 51.788030 58.463664
#> 90-101 90-102 90-103 90-104 90-105 90-106 90-107
#> 65.253352 71.840100 78.160092 84.202138 89.022469 94.831429 100.662803
#> 90-108 90-109 90-110 90-111 90-112 90-113 90-114
#> 106.512910 112.378824 118.067777 122.641755 123.794184 128.561269 134.729358
#> 90-115 90-116 90-117 90-118 90-119 90-120 91-92
#> 139.441744 140.246212 139.488351 134.892550 130.291980 125.251746 5.830952
#> 91-93 91-94 91-95 91-96 91-97 91-98 91-99
#> 11.401754 16.124515 22.022716 28.017851 34.014703 40.012498 46.097722
#> 91-100 91-101 91-102 91-103 91-104 91-105 91-106
#> 52.469038 59.033889 65.513357 71.805292 77.878110 82.764727 88.645361
#> 91-107 91-108 91-109 91-110 91-111 91-112 91-113
#> 94.540996 100.448992 106.367288 112.147225 116.841773 118.270876 123.146255
#> 91-114 91-115 91-116 91-117 91-118 91-119 91-120
#> 129.247824 133.734812 134.350288 133.364163 128.549601 123.761868 118.595953
#> 92-93 92-94 92-95 92-96 92-97 92-98 92-99
#> 6.000000 11.045361 17.117243 23.086793 29.068884 35.057096 41.000000
#> 92-100 92-101 92-102 92-103 92-104 92-105 92-106
#> 47.169906 53.600373 60.016664 66.287254 72.367120 77.278716 83.186537
#> 92-107 92-108 92-109 92-110 92-111 92-112 92-113
#> 89.106678 95.036835 100.975244 106.794195 111.543713 113.110565 118.038129
#> 92-114 92-115 92-116 92-117 92-118 92-119 92-120
#> 124.100766 128.471787 128.996124 127.906216 123.000000 118.139748 112.929181
#> 93-94 93-95 93-96 93-97 93-98 93-99 93-100
#> 5.099020 11.180340 17.117243 23.086793 29.068884 35.000000 41.194660
#> 93-101 93-102 93-103 93-104 93-105 93-106 93-107
#> 47.675990 54.129474 60.415230 66.490601 71.386273 77.278716 83.186537
#> 93-108 93-109 93-110 93-111 93-112 93-113 93-114
#> 89.106678 95.036835 100.841460 105.574618 107.116759 112.040171 118.105885
#> 93-115 93-116 93-117 93-118 93-119 93-120 94-95
#> 122.494898 123.044707 122.000000 117.153745 112.361025 107.205410 6.082763
#> 94-96 94-97 94-98 94-99 94-100 94-101 94-102
#> 12.041595 18.027756 24.020824 30.016662 36.345564 42.953463 49.477268
#> 94-103 94-104 94-105 94-106 94-107 94-108 94-109
#> 55.785303 61.846584 66.708320 72.567210 78.447435 84.344532 90.255194
#> 94-110 94-111 94-112 94-113 94-114 94-115 94-116
#> 96.026038 100.717426 102.176318 107.074740 113.159180 117.613775 118.228592
#> 94-117 94-118 94-119 94-120 95-96 95-97 95-98
#> 117.277449 112.538882 107.856386 102.786186 6.000000 12.000000 18.000000
#> 95-99 95-100 95-101 95-102 95-103 95-104 95-105
#> 24.083189 30.594117 37.363083 43.965896 50.289164 56.320511 61.131007
#> 95-106 95-107 95-108 95-109 95-110 95-111 95-112
#> 66.940272 72.780492 78.644771 84.528102 90.255194 94.894678 96.254870
#> 95-113 95-114 95-115 95-116 95-117 95-118 95-119
#> 101.123687 107.228727 111.758669 112.449989 111.610931 107.004673 102.459748
#> 95-120 96-97 96-98 96-99 96-100 96-101 96-102
#> 97.498718 6.000000 12.000000 18.110770 24.738634 31.622777 38.275318
#> 96-103 96-104 96-105 96-106 96-107 96-108 96-109
#> 44.598206 50.596443 55.362442 61.131007 66.940272 72.780492 78.644771
#> 96-110 96-111 96-112 96-113 96-114 96-115 96-116
#> 84.344532 88.955045 90.271812 95.131488 101.242284 105.801701 106.531685
#> 96-117 96-118 96-119 96-120 97-98 97-99 97-100
#> 105.759160 101.242284 96.798760 91.923882 6.000000 12.165525 18.973666
#> 97-101 97-102 97-103 97-104 97-105 97-106 97-107
#> 26.000000 32.695565 39.000000 44.944410 49.648766 55.362442 61.131007
#> 97-108 97-109 97-110 97-111 97-112 97-113 97-114
#> 66.940272 72.780492 78.447435 83.024093 84.291162 89.140339 95.257546
#> 97-115 97-116 97-117 97-118 97-119 97-120 98-99
#> 99.849887 100.623059 99.924972 95.509162 91.181138 86.406018 6.324555
#> 98-100 98-101 98-102 98-103 98-104 98-105 98-106
#> 13.416408 20.591260 27.294688 33.541020 39.395431 44.011362 49.648766
#> 98-107 98-108 98-109 98-110 98-111 98-112 98-113
#> 55.362442 61.131007 66.940272 72.567210 77.103826 78.313473 83.150466
#> 98-114 98-115 98-116 98-117 98-118 98-119 98-120
#> 89.274856 93.904207 94.725920 94.111636 89.810912 85.615419 80.956779
#> 99-100 99-101 99-102 99-103 99-104 99-105 99-106
#> 7.211103 14.422205 21.095023 27.294688 33.105891 37.696154 43.324358
#> 99-107 99-108 99-109 99-110 99-111 99-112 99-113
#> 49.040799 54.817880 60.638272 66.287254 70.859015 72.173402 77.058419
#> 99-114 99-115 99-116 99-117 99-118 99-119 99-120
#> 83.150466 87.692645 88.459030 87.800911 83.486526 79.309520 74.686009
#> 100-101 100-102 100-103 100-104 100-105 100-106 100-107
#> 7.211103 13.892444 20.124612 26.000000 30.675723 36.400549 42.201896
#> 100-108 100-109 100-110 100-111 100-112 100-113 100-114
#> 48.052055 53.935146 59.682493 64.381674 66.007575 71.007042 77.006493
#> 100-115 100-116 100-117 100-118 100-119 100-120 101-102
#> 81.301906 81.884064 81.024688 76.537572 72.235725 67.542579 6.708204
#> 101-103 101-104 101-105 101-106 101-107 101-108 101-109
#> 13.000000 18.973666 23.769729 29.614186 35.510562 41.436699 47.381431
#> 101-110 101-111 101-112 101-113 101-114 101-115 101-116
#> 53.235327 58.077534 60.074953 65.192024 71.063352 75.059976 75.425460
#> 101-117 101-118 101-119 101-120 102-103 102-104 102-105
#> 74.330344 69.641941 65.192024 60.415230 6.324555 12.369317 17.262677
#> 102-106 102-107 102-108 102-109 102-110 102-111 102-112
#> 23.194827 29.154759 35.128336 41.109610 47.042534 52.000000 54.332311
#> 102-113 102-114 102-115 102-116 102-117 102-118 102-119
#> 59.539903 65.276336 69.000000 69.180922 67.896981 63.063460 58.523500
#> 102-120 103-104 103-105 103-106 103-107 103-108 103-109
#> 53.712196 6.082763 11.045361 17.029386 23.021729 29.017236 35.014283
#> 103-110 103-111 103-112 103-113 103-114 103-115 103-116
#> 41.000000 46.043458 48.662100 53.935146 59.539903 63.031738 63.071388
#> 103-117 103-118 103-119 103-120 104-105 104-106 104-107
#> 61.660360 56.753854 52.201533 47.423623 5.000000 11.000000 17.000000
#> 104-108 104-109 104-110 104-111 104-112 104-113 104-114
#> 23.000000 29.000000 35.014283 40.112342 42.953463 48.270074 53.758720
#> 104-115 104-116 104-117 104-118 104-119 104-120 105-106
#> 57.078893 57.035077 55.578773 50.695167 46.238512 41.593269 6.000000
#> 105-107 105-108 105-109 105-110 105-111 105-112 105-113
#> 12.000000 18.000000 24.000000 30.016662 35.128336 38.078866 43.416587
#> 105-114 105-115 105-116 105-117 105-118 105-119 105-120
#> 48.836462 52.086467 52.038447 50.635956 45.880279 41.629317 37.215588
#> 106-107 106-108 106-109 106-110 106-111 106-112 106-113
#> 6.000000 12.000000 18.000000 24.020824 29.154759 32.280025 37.643060
#> 106-114 106-115 106-116 106-117 106-118 106-119 106-120
#> 42.953463 46.097722 46.043458 44.721360 40.162171 36.235342 32.202484
#> 107-108 107-109 107-110 107-111 107-112 107-113 107-114
#> 6.000000 12.000000 18.027756 23.194827 26.570661 31.953091 37.107951
#> 107-115 107-116 107-117 107-118 107-119 107-120 108-109
#> 40.112342 40.049969 38.832976 34.539832 31.064449 27.586228 6.000000
#> 108-110 108-111 108-112 108-113 108-114 108-115 108-116
#> 12.041595 17.262677 21.023796 26.400758 31.320920 34.132096 34.058773
#> 108-117 108-118 108-119 108-120 109-110 109-111 109-112
#> 32.984845 29.068884 26.248809 23.600847 6.082763 11.401754 15.811388
#> 109-113 109-114 109-115 109-116 109-117 109-118 109-119
#> 21.095023 25.632011 28.160256 28.071338 27.202941 23.853721 22.022716
#> 109-120 110-111 110-112 110-113 110-114 110-115 110-116
#> 20.615528 5.385165 10.630146 15.620499 19.697716 22.090722 22.203603
#> 110-117 110-118 110-119 110-120 111-112 111-113 111-114
#> 21.931712 19.798990 19.697716 20.099751 6.324555 10.630146 14.317821
#> 111-115 111-116 111-117 111-118 111-119 111-120 112-113
#> 17.000000 17.720045 18.601075 18.357560 20.223748 22.203603 5.385165
#> 112-114 112-115 112-116 112-117 112-118 112-119 112-120
#> 11.000000 16.155494 18.601075 21.400935 23.086793 26.019224 28.442925
#> 113-114 113-115 113-116 113-117 113-118 113-119 113-120
#> 6.324555 12.806248 16.401219 20.615528 24.083189 28.284271 31.622777
#> 114-115 114-116 114-117 114-118 114-119 114-120 115-116
#> 7.211103 11.704700 17.117243 22.360680 27.856777 32.249031 5.000000
#> 115-117 115-118 115-119 115-120 116-117 116-118 116-119
#> 11.180340 17.888544 24.413111 29.732137 6.324555 13.601471 20.518285
#> 116-120 117-118 117-119 117-120 118-119 118-120 119-120
#> 26.248809 7.810250 15.000000 21.095023 7.211103 13.416408 6.324555
# Returns named vector: "1-2", "1-3", "1-4", ..., "n-1-n"