[R] ggplot2 - specific y axis scale for each time series in facet grind
Maxim Fomin
mxfomin at gmail.com
Thu Jan 21 16:15:46 CET 2016
Dear R users,
I have a (melted) data frame of several metal prices from 1980. I want to
make a time series plot for each metal price. By default ggplot constructs
single plot for all prices. Adding +facet_grid(variable~.) makes for each
metal price a plot, but now there is another problem - scale of y axis.
Some metals have price $1000 and some $2. Because ggplot makes same y scale
for each metal, some metal prices printed as straight horizontal line. What
is the command to make for each plot specific y axis scale?
Currently I am trying command:
ggplot(data=melted2, aes(x=date, y=value, group=variable,
color=variable))+geom_line()+facet_grid(variable~.)
Best regards,
Maxim
P.S dput
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13330, 13361, 13392, 13422, 13453, 13483, 13514, 13545, 13573,
13604, 13634, 13665, 13695, 13726, 13757, 13787, 13818, 13848,
13879, 13910, 13939, 13970, 14000, 14031, 14061, 14092, 14123,
14153, 14184, 14214, 14245, 14276, 14304, 14335, 14365, 14396,
14426, 14457, 14488, 14518, 14549, 14579, 14610, 14641, 14669,
14700, 14730, 14761, 14791, 14822, 14853, 14883, 14914, 14944,
14975, 15006, 15034, 15065, 15095, 15126, 15156, 15187, 15218,
15248, 15279, 15309, 15340, 15371, 15400, 15431, 15461, 15492,
15522, 15553, 15584, 15614, 15645, 15675, 15706, 15737, 15765,
15796, 15826, 15857, 15887, 15918, 15949, 15979, 16010, 16040,
16071, 16102, 16130, 16161, 16191, 16222, 16252, 16283, 16314,
16344, 16375, 16405, 16436, 16467, 16495, 16526, 16556, 16587,
16617, 16648, 16679, 16709, 16740, 3652, 3683, 3712, 3743, 3773,
3804, 3834, 3865, 3896, 3926, 3957, 3987, 4018, 4049, 4077, 4108,
4138, 4169, 4199, 4230, 4261, 4291, 4322, 4352, 4383, 4414, 4442,
4473, 4503, 4534, 4564, 4595, 4626, 4656, 4687, 4717, 4748, 4779,
4807, 4838, 4868, 4899, 4929, 4960, 4991, 5021, 5052, 5082, 5113,
5144, 5173, 5204, 5234, 5265, 5295, 5326, 5357, 5387, 5418, 5448,
5479, 5510, 5538, 5569, 5599, 5630, 5660, 5691, 5722, 5752, 5783,
5813, 5844, 5875, 5903, 5934, 5964, 5995, 6025, 6056, 6087, 6117,
6148, 6178, 6209, 6240, 6268, 6299, 6329, 6360, 6390, 6421, 6452,
6482, 6513, 6543, 6574, 6605, 6634, 6665, 6695, 6726, 6756, 6787,
6818, 6848, 6879, 6909, 6940, 6971, 6999, 7030, 7060, 7091, 7121,
7152, 7183, 7213, 7244, 7274, 7305, 7336, 7364, 7395, 7425, 7456,
7486, 7517, 7548, 7578, 7609, 7639, 7670, 7701, 7729, 7760, 7790,
7821, 7851, 7882, 7913, 7943, 7974, 8004, 8035, 8066, 8095, 8126,
8156, 8187, 8217, 8248, 8279, 8309, 8340, 8370, 8401, 8432, 8460,
8491, 8521, 8552, 8582, 8613, 8644, 8674, 8705, 8735, 8766, 8797,
8825, 8856, 8886, 8917, 8947, 8978, 9009, 9039, 9070, 9100, 9131,
9162, 9190, 9221, 9251, 9282, 9312, 9343, 9374, 9404, 9435, 9465,
9496, 9527, 9556, 9587, 9617, 9648, 9678, 9709, 9740, 9770, 9801,
9831, 9862, 9893, 9921, 9952, 9982, 10013, 10043, 10074, 10105,
10135, 10166, 10196, 10227, 10258, 10286, 10317, 10347, 10378,
10408, 10439, 10470, 10500, 10531, 10561, 10592, 10623, 10651,
10682, 10712, 10743, 10773, 10804, 10835, 10865, 10896, 10926,
10957, 10988, 11017, 11048, 11078, 11109, 11139, 11170, 11201,
11231, 11262, 11292, 11323, 11354, 11382, 11413, 11443, 11474,
11504, 11535, 11566, 11596, 11627, 11657, 11688, 11719, 11747,
11778, 11808, 11839, 11869, 11900, 11931, 11961, 11992, 12022,
12053, 12084, 12112, 12143, 12173, 12204, 12234, 12265, 12296,
12326, 12357, 12387, 12418, 12449, 12478, 12509, 12539, 12570,
12600, 12631, 12662, 12692, 12723, 12753, 12784, 12815, 12843,
12874, 12904, 12935, 12965, 12996, 13027, 13057, 13088, 13118,
13149, 13180, 13208, 13239, 13269, 13300, 13330, 13361, 13392,
13422, 13453, 13483, 13514, 13545, 13573, 13604, 13634, 13665,
13695, 13726, 13757, 13787, 13818, 13848, 13879, 13910, 13939,
13970, 14000, 14031, 14061, 14092, 14123, 14153, 14184, 14214,
14245, 14276, 14304, 14335, 14365, 14396, 14426, 14457, 14488,
14518, 14549, 14579, 14610, 14641, 14669, 14700, 14730, 14761,
14791, 14822, 14853, 14883, 14914, 14944, 14975, 15006, 15034,
15065, 15095, 15126, 15156, 15187, 15218, 15248, 15279, 15309,
15340, 15371, 15400, 15431, 15461, 15492, 15522, 15553, 15584,
15614, 15645, 15675, 15706, 15737, 15765, 15796, 15826, 15857,
15887, 15918, 15949, 15979, 16010, 16040, 16071, 16102, 16130,
16161, 16191, 16222, 16252, 16283, 16314, 16344, 16375, 16405,
16436, 16467, 16495, 16526, 16556, 16587, 16617, 16648, 16679,
16709, 16740, 3652, 3683, 3712, 3743, 3773, 3804, 3834, 3865,
3896, 3926, 3957, 3987, 4018, 4049, 4077, 4108, 4138, 4169, 4199,
4230, 4261, 4291, 4322, 4352, 4383, 4414, 4442, 4473, 4503, 4534,
4564, 4595, 4626, 4656, 4687, 4717, 4748, 4779, 4807, 4838, 4868,
4899, 4929, 4960, 4991, 5021, 5052, 5082, 5113, 5144, 5173, 5204,
5234, 5265, 5295, 5326, 5357, 5387, 5418, 5448, 5479, 5510, 5538,
5569, 5599, 5630, 5660, 5691, 5722, 5752, 5783, 5813, 5844, 5875,
5903, 5934, 5964, 5995, 6025, 6056, 6087, 6117, 6148, 6178, 6209,
6240, 6268, 6299, 6329, 6360, 6390, 6421, 6452, 6482, 6513, 6543,
6574, 6605, 6634, 6665, 6695, 6726, 6756, 6787, 6818, 6848, 6879,
6909, 6940, 6971, 6999, 7030, 7060, 7091, 7121, 7152, 7183, 7213,
7244, 7274, 7305, 7336, 7364, 7395, 7425, 7456, 7486, 7517, 7548,
7578, 7609, 7639, 7670, 7701, 7729, 7760, 7790, 7821, 7851, 7882,
7913, 7943, 7974, 8004, 8035, 8066, 8095, 8126, 8156, 8187, 8217,
8248, 8279, 8309, 8340, 8370, 8401, 8432, 8460, 8491, 8521, 8552,
8582, 8613, 8644, 8674, 8705, 8735, 8766, 8797, 8825, 8856, 8886,
8917, 8947, 8978, 9009, 9039, 9070, 9100, 9131, 9162, 9190, 9221,
9251, 9282, 9312, 9343, 9374, 9404, 9435, 9465, 9496, 9527, 9556,
9587, 9617, 9648, 9678, 9709, 9740, 9770, 9801, 9831, 9862, 9893,
9921, 9952, 9982, 10013, 10043, 10074, 10105, 10135, 10166, 10196,
10227, 10258, 10286, 10317, 10347, 10378, 10408, 10439, 10470,
10500, 10531, 10561, 10592, 10623, 10651, 10682, 10712, 10743,
10773, 10804, 10835, 10865, 10896, 10926, 10957, 10988, 11017,
11048, 11078, 11109, 11139, 11170, 11201, 11231, 11262, 11292,
11323, 11354, 11382, 11413, 11443, 11474, 11504, 11535, 11566,
11596, 11627, 11657, 11688, 11719, 11747, 11778, 11808, 11839,
11869, 11900, 11931, 11961, 11992, 12022, 12053, 12084, 12112,
12143, 12173, 12204, 12234, 12265, 12296, 12326, 12357, 12387,
12418, 12449, 12478, 12509, 12539, 12570, 12600, 12631, 12662,
12692, 12723, 12753, 12784, 12815, 12843, 12874, 12904, 12935,
12965, 12996, 13027, 13057, 13088, 13118, 13149, 13180, 13208,
13239, 13269, 13300, 13330, 13361, 13392, 13422, 13453, 13483,
13514, 13545, 13573, 13604, 13634, 13665, 13695, 13726, 13757,
13787, 13818, 13848, 13879, 13910, 13939, 13970, 14000, 14031,
14061, 14092, 14123, 14153, 14184, 14214, 14245, 14276, 14304,
14335, 14365, 14396, 14426, 14457, 14488, 14518, 14549, 14579,
14610, 14641, 14669, 14700, 14730, 14761, 14791, 14822, 14853,
14883, 14914, 14944, 14975, 15006, 15034, 15065, 15095, 15126,
15156, 15187, 15218, 15248, 15279, 15309, 15340, 15371, 15400,
15431, 15461, 15492, 15522, 15553, 15584, 15614, 15645, 15675,
15706, 15737, 15765, 15796, 15826, 15857, 15887, 15918, 15949,
15979, 16010, 16040, 16071, 16102, 16130, 16161, 16191, 16222,
16252, 16283, 16314, 16344, 16375, 16405, 16436, 16467, 16495,
16526, 16556, 16587, 16617, 16648, 16679, 16709, 16740), class = "Date"),
variable = structure(c(1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 4L, 4L, 4L, 4L, 4L, 4L,
4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L,
4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L,
4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L,
4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L,
4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L,
4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L,
4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L,
4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L,
4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L,
4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L,
4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L,
4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L,
4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L,
4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L,
4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L,
4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L,
4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L,
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1371.36363636364, 1371.08, 1404.985, 1370.38571428571, 1344.42727272727,
1356.93333333333, 1337.8652173913, 1293.35714285714, 1301.7,
1311.46086956522, 1373.26666666667, 1375.8619047619, 1379.29090909091,
1421.555, 1386.54761904762, 1334.32, 1400.415, 1410.5380952381,
1440.90434782609, 1457.24, 1416.59545454545, 1477.24782608696,
1511.6, 1557.77857142857, 1608.89285714286, 1685.225, 1657.35434782609,
1731.68, 1625.27368421053, 1682.04090909091, 1707.86818181818,
1692.1, 1731.02272727273, 1830.36666666667, 1817.35, 1852.92380952381,
1836.21, 1882.8, 1987.51904761905, 1892.00952380952, 1741.45,
1731.94318181818, 1783.2619047619, 1871.27272727273, 1837.69318181818,
1934.14285714286, 2056.97045454545, 2250.9, 2383.30238095238,
2453.375, 2432.47826086957, 2623.85833333333, 2852.07142857143,
2490.95454545455, 2511.83333333333, 2461.55227272727, 2484.38095238095,
2657.14772727273, 2702.13636363636, 2823.67105263158, 2799.05909090909,
2839.05, 2757.07954545455, 2817.05263157895, 2804.60476190476,
2681.30952380952, 2738.09090909091, 2512.60227272727, 2394.9625,
2444.53260869565, 2507.15227272727, 2382.83333333333, 2456.125,
2784.89285714286, 3012.05263157895, 2968.03409090909, 2908.2775,
2967.86904761905, 3067.45652173913, 2762.56, 2524.14772727273,
2122.02826086956, 1857.13, 1504.41666666667, 1420.35952380952,
1338.0625, 1338.07954545455, 1431.8125, 1464.41666666667,
1586.33571428571, 1674.33181818182, 1927.6375, 1835.59772727273,
1875.66363636364, 1956.54761904762, 2181.25714285714, 2230.15,
2053.29, 2210.54782608696, 2314.305, 2044.73157894737, 1929.40909090909,
1989.04545454545, 2110.44047619048, 2171.24318181818, 2342.17857142857,
2324.04545454545, 2356.66904761905, 2439.7, 2515.26, 2555.5,
2667.41666666667, 2587.2125, 2557.76136363636, 2525.42857142857,
2380.975, 2293.46136363636, 2180.64761904762, 2079.98181818182,
2024.375, 2151.33333333333, 2207.91666666667, 2184.15909090909,
2048.50526315789, 2002.52272727273, 1885.51315789474, 1876.25,
1843.32727272727, 2064.12, 1974.30434782609, 1948.82954545455,
2086.76315789474, 2037.60681818182, 2053.595, 1911.2825,
1861.02380952381, 1832.57142857143, 1814.5375, 1769.60869565217,
1816.23571428571, 1761.30476190476, 1814.58260869565, 1747.96428571429,
1739.81, 1727.41136363636, 1695.165, 1705.36666666667, 1810.675,
1751.05, 1838.95238095238, 1948.30434782609, 2030.4925,
1990.43181818182,
1946.18913043478, 2055.555, 1909.45952380952, 1814.71904761905,
1817.82, 1773.86363636364, 1819.1875, 1804.03947368421,
1687.72727272727,
1639.5, 1548.125, 1589.60227272727, 1516.48863636364, 1467.89285714286,
2592.63342275848, 2916.71199088135, 2303.8279, 2074.54755455933,
2076.75230911865, 2006.2042, 2175.96020911865, 2081.16114544067,
2059.11494544067, 2045.88709088135, 2010.61370911865, 1878.33650911865,
1876.13175455933, 1803.37889088135, 1816.60674544067, 1823.22100911865,
1746.05930911865, 1699.76215455933, 1682.12479088135, 1787.94695455933,
1706.37574544067, 1664.4881, 1651.26024544067, 1655.66975455933,
1613.78210911865, 1596.14474544067, 1512.36945455933, 1521.1878,
1530.00614544067, 1309.54431363983, 1439.61659088135, 1450.63969088135,
1424.18465455933, 1463.86754544067, 1444.0261, 1474.89064544067,
1574.09854544067, 1649.05549088135, 1598.3495, 1675.5112,
1765.90075455933, 1701.96690911865, 1704.17099088135, 1640.23714544067,
1560.87069088135, 1435.20775455933, 1388.9106, 1415.36630911865,
1375.68291363983, 1428.59349088135, 1501.34635455933, 1532.2109,
1419.77514544067, 1364.65981363983, 1331.59051363983, 1338.20435681992,
1294.11195681992, 1272.06575681992, 1344.8182, 1320.56741363983,
1358.04588636017, 1388.9106, 1389.35153409195, 1501.34635455933,
1530.00614544067, 1433.003, 1474.89064544067, 1419.77514544067,
1366.8644, 1384.50134318008, 1369.06898636017, 1391.11518636017,
1417.57039088135, 1404.34295681992, 1444.0261, 1433.003,
1417.57039088135, 1413.16155455933, 1344.8182, 1302.93038636017,
1309.54431363983, 1316.15815681992, 1302.93038636017, 1331.59051363983,
1344.8182, 1380.09208636017, 1463.86754544067, 1483.70899088135,
1518.98304544067, 1571.89379088135, 1693.14789088135, 1754.87765455933,
1809.99315455933, 1966.52130911865, 2519.88039088135, 2866.006,
2660.97660911865, 2328.07902275848, 2358.9434, 2283.98662275848,
2442.71869088135, 2539.72250911865, 2213.43817724152, 2200.21049088135,
2433.90017724152, 2936.55410911865, 3302.52049088135, 3496.52745455933,
3392.91004544067, 3095.28634544067, 3262.8376, 3117.33254544067,
2738.13830911865, 2544.13117724152, 2503.78709547119, 2760.18450911865,
2883.64269088135, 2859.39240911865, 2590.4285, 2418.46840911865,
2365.55699088135, 2358.9434, 2625.70272275848, 2685.22689088135,
2740.34239088135, 2583.81490911865, 2769.00302275848, 2956.39555455933,
3040.17084544067, 2742.54697724152, 2583.81490911865, 2484.60700911865,
2447.1282, 2447.1282, 2409.64939088135, 2471.37932275848,
2340.4246727356, 2218.06802725677, 2231.25534581909, 2236.18677692413,
2318.58300291138, 2360.64557547607, 2375.66037788696, 2205.91849749756,
2150.57962901611, 2208.89225860596, 2231.78550956421, 2214.16681599274,
2219.31505581207, 2296.44193858643, 2527.28502240143, 2513.46998458252,
2419.61418178101, 2262.45696237183, 2161.78909368286, 2211.95028749237,
2264.21397077332, 2212.18139313507, 2152.38020099945, 1953.62060192108,
1799.35169844818, 1857.87070840454, 1927.33981992645, 1951.07137548676,
1858.24999750519, 1646.99992897491, 1632.56810484467, 1723.6250736618,
1807.07136699066, 1865.07501472778, 1913.17391866455, 1881.36846713562,
2144.50007046051, 2363.09102303009, 2447.23803404999, 2409.74997397766,
2504.84103139343, 2546.02375416412, 2803.54541098175, 2980.69999645081,
3003.26189506836, 2870.45015814514, 2919.67397804871, 2894.88882296448,
2771.57125569763, 2987.68194348755, 3076.4500581665, 3040.13619641418,
2910.42504276428, 2810.06817431793, 2981.61903664856, 2918.21064537659,
2604.99992943115, 2544.66672335968, 2563.34994940033, 2594.17496803894,
2658.76193080902, 2177.59998270721, 1983.93479971771, 2017.85720584564,
1935.07143060913, 1960.19567519531, 2215.42864607391, 2264.59527826385,
2427.27279402924, 2406.63156159363, 2420.1842087265, 2389.31814949341,
2513.29993523407, 2611.28570015411, 2449.19570404663, 2250.10004305115,
2104.30955452118, 2050.6955684021, 1918.49994499359, 1761.45239143524,
1687.60000986328, 1663.99998604431, 1747.15916341095, 1800.12507817535,
1731.65792903595, 1656.59518632507, 1655.66672697449, 1619.92507875671,
1646.77269191284, 1585.49992534637, 1573.72497511139, 1475.76309447174,
1432.00002842255, 1412.95, 1378.47727272727, 1463.725, 1510.44736842105,
1422.15909090909, 1639.18181818182, 1646.7380952381, 1749.68181818182,
1723.28571428571, 1726.77272727273, 1764.88235294118, 1843.85,
1807.025, 1739.8, 1681.9075, 1785.09782608696, 1752.07272727273,
1803.14285714286, 1857.12391304348, 1961.89285714286, 1894.37272727273,
1795.60227272727, 1852.4, 1787.05681818182, 1766.125, 1742.15909090909,
1665.97222222222, 1684.85, 1610.46904761905, 1526.77045454545,
1466.41136363636, 1427.69736842105, 1377.37608695652, 1434.29318181818,
1472.84705882353, 1508.22727272727, 1561.3675, 1607.3925,
1588.57142857143, 1597.02272727273, 1650.59444444444, 1588.2847826087,
1482.91666666667, 1478.93333333333, 1486.17173913043, 1581.03571428571,
1592.96428571429, 1650.31136363636, 1682.145, 1655.69285714286,
1587.8675, 1651.1, 1685.10714285714, 1712.82608695652, 1756.725,
1789.67045454545, 1925.58260869565, 2053.275, 2202.03571428571,
2421.47619047619, 2751.7175, 3000.28260869565, 2926.975,
2728.46315789474, 2689.05454545455, 2816.8, 2844.20476190476,
2903.17272727273, 3009.40476190476, 3130.30909090909, 3139.78571428571,
3168.1, 3247.1, 3378.90476190476, 3389.80952380952, 3241.9,
3529.72727272727, 3608.47619047619, 3791.90909090909, 3850.65909090909,
4056.16666666667, 4278.15909090909, 4577.025, 4743.8619047619,
4974.975, 5123.67391304348, 6404.44444444444, 8059.19047619048,
7222.77272727273, 7726.7380952381, 7690.25, 7622.64285714286,
7497.40909090909, 7029.29545454546, 6680.97368421053, 5689.34090909091,
5718.15, 6465.29545454545, 7753.34210526316, 7677.95238095238,
7514.2380952381, 7980.93181818182, 7500.20454545455, 7671.35,
8020.58695652174, 6957.43181818182, 6630.73611111111, 7078.90909090909,
7941.14285714286, 8434.31578947368, 8714.18181818182, 8356.125,
8292, 8407.02173913043, 7633.8, 6975.11363636364, 4894.89130434783,
3729.1875, 3105.09523809524, 3260.35714285714, 3328.4125,
3770.875, 4436.925, 4594.90277777778, 5013.29761904762,
5240.82954545455,
6176.875, 6195.75, 6305.98863636364, 6682.44047619048, 6976.97619047619,
7367.395, 6867.69, 7466.96086956522, 7729.855, 6843.18421052632,
6501.5, 6750.56818181818, 7302.66666666667, 7729.59090909091,
8289.7619047619, 8458.42045454545, 9152.85714285714, 9533.2,
9880.9375, 9503.35869565217, 9482.75, 8931.675, 9066.85227272727,
9650.46428571429, 8997.98863636364, 8300.13636363636, 7394.19047619048,
7581.02272727273, 7558.875, 8061.91666666667, 8441.4880952381,
8470.78409090909, 8285.52631578947, 7896.90909090909, 7428.28947368421,
7584.26136363636, 7510.43181818182, 8087.7425, 8062.03260869565,
7711.22727272727, 7966.48684210526, 8053.73863636364, 8060.925,
7652.375, 7221.1619047619, 7248.71428571429, 7000.2375,
6906.64130434783,
7186.25, 7159.26904761905, 7203.02173913044, 7070.65476190476,
7214.9, 7291.46590909091, 7149.2125, 6650.03571428571, 6673.5625,
6891.125, 6821.14285714286, 7113.38043478261, 7001.8375,
6872.21590909091, 6737.47826086957, 6712.85, 6446.45238095238,
5830.53571428571, 5729.275, 5939.67045454546, 6042.0875,
6294.77631578947, 5833.01136363636, 5456.75, 5127.3, 5217.25,
5216.09090909091, 4799.90476190476, 674.58, 665.893, 554.276,
516.71, 514.268, 600.786, 645.75, 626.36, 673.941, 662.27,
623.875, 596.712, 557.813, 500.8, 499.693, 496.625, 480.316,
460.5, 409.284, 410.24, 443.773, 437.68, 413.405, 410.119,
384.163, 374.458, 329.977, 350.335, 334.505, 314.961, 337.895,
363.413, 438.15, 422.786, 415.114, 444.776, 481.838, 493.488,
420.707, 433.171, 437.393, 413.148, 422.645, 416.205, 412.245,
394.245, 381.016, 388.06, 370.735, 386.038, 394.743, 381.371,
376.957, 378.314, 347.607, 347.677, 340.945, 340.217, 341.286,
319.622, 302.852, 300.333, 303.205, 324.883, 316.395, 316.298,
317.202, 330.131, 323.764, 326.093, 325.548, 321.985, 345.561,
339.053, 346.095, 340.716, 342.325, 342.798, 348.554, 376.29,
418.152, 423.863, 396.983, 391.595, 408.524, 401.045, 408.848,
439.665, 461.65, 449.277, 450.33, 460.988, 460.12, 465.764,
468.14, 487.079, 477.758, 442.124, 443.491, 451.558, 451.32,
451.657, 437.452, 431.064, 413.439, 406.39, 419.966, 419.248,
404.445, 387.973, 390.274, 384.72, 371.35, 367.727, 375.21,
365.548, 361.798, 366.8, 394.361, 409.655, 410.118, 416.543,
393.661, 374.929, 368.855, 352.657, 361.82, 394.861, 389.56,
381.333, 381.866, 378.161, 384.591, 363.748, 363.39, 358.055,
357.117, 366.36, 368.013, 356.721, 348.46, 358.826, 359.96,
361.875, 354.436, 353.853, 344.641, 338.728, 337.039, 340.784,
352.452, 343.603, 345.3, 344.277, 334.924, 334.657, 328.993,
329.31, 329.974, 341.948, 367.045, 371.914, 392.034, 379.795,
355.561, 364.005, 373.939, 383.243, 387.11, 381.658, 384,
377.908, 381.343, 385.714, 385.45, 380.207, 391.348, 390.164,
384.377, 379.48, 378.738, 376.745, 381.82, 391.339, 385.231,
387.618, 386.138, 383.502, 382.931, 383.202, 385.209, 387.445,
398.695, 404.919, 396.512, 392.87, 391.99, 385.245, 383.457,
387.51, 383.29, 380.909, 377.869, 369.338, 355.025, 346.4,
352.311, 344.707, 344.1, 340.805, 323.78, 323.998, 322.616,
324.854, 306.345, 288.776, 289.264, 297.743, 295.87, 308.558,
298.971, 292.223, 292.874, 284.228, 288.661, 296.595, 294.243,
291.357, 287.333, 287.495, 286.243, 282.62, 276.932, 261.402,
256.198, 256.936, 264.47, 311.562, 293.65, 283.743, 284.59,
300.855, 286.704, 279.961, 275.293, 285.368, 282.152, 274.523,
273.676, 270.405, 265.989, 271.892, 265.934, 262.018, 263.273,
260.75, 272.057, 270.738, 267.707, 272.657, 282.478, 283.322,
276.248, 275.992, 281.764, 295.683, 294.353, 302.862, 314.48,
321.536, 313.567, 310.045, 318.8, 316.748, 319.255, 333.3,
356.864, 359.575, 341.564, 328.208, 355.405, 356.912, 350.765,
358.993, 378.859, 379.093, 390.2, 407.674, 414.495, 404.73,
405.976, 404.85, 383.953, 391.78, 398.441, 400.133, 405.402,
420.21, 439.059, 442.974, 424.08, 423.43, 434.355, 429.14,
422.903, 430.302, 424.745, 437.773, 455.936, 470.107, 476.668,
509.423, 549.433, 555.518, 557.215, 611.853, 676.769, 597.898,
633.093, 631.557, 600.15, 586.648, 626.825, 629.513, 630.352,
665.103, 655.891, 680.008, 668.31, 655.714, 665.266, 664.53,
710.645, 754.48, 808.311, 803.618, 887.784, 924.283, 971.055,
911.6, 889.125, 889.536, 941.167, 840.388, 824.92, 812.815,
757.85, 819.94, 857.726, 939.763, 925.989, 892.663, 926.855,
947.807, 934.272, 949.5, 996.443, 1043.511, 1126.119, 1135.012,
1119.575, 1095.8, 1115.554, 1148.475, 1204.321, 1232.382,
1196, 1213.464, 1271.461, 1343.19, 1371.784, 1393.512, 1360.475,
1371.313, 1422.848, 1474.431, 1512.188, 1528.38, 1568.526,
1759.5, 1780.648, 1667.893, 1735.977, 1652.725, 1656.095,
1743.095, 1675.057, 1648.539, 1585.114, 1595.632, 1592.784,
1625.682, 1741.925, 1746.348, 1724.352, 1687.342, 1671.886,
1630.688, 1591.013, 1485.905, 1416.143, 1342.7, 1284.348,
1345.048, 1348.464, 1314.402, 1277.417, 1221.588, 1243.068,
1298.713, 1336.56, 1299.175, 1288.913, 1277.857, 1312.989,
1297.005, 1241.33, 1223.565, 1176.413, 1200.44, 1249.333,
1231.1, 1180.636, 1198.253, 1197.684, 1182.248, 1131.58,
1117.525, 1124.905, 1157.123, 1088.388, 12.15, 12.15, 12.15,
12.15, 12.15, 12.15, 12.15, 12.15, 12.15, 12.15, 12.15, 12.15,
12.15, 12.15, 12.15, 12.15, 12.15, 12.15, 12.15, 12.15, 12.15,
12.15, 12.15, 12.15, 14.05, 14.05, 14.05, 14.05, 14.05, 14.05,
14.05, 14.05, 14.05, 14.05, 14.05, 14.05, 12.54, 12.54, 12.54,
12.54, 12.54, 12.54, 12.54, 12.54, 12.54, 12.54, 12.54, 12.54,
11.31, 11.31, 11.31, 11.31, 11.31, 11.31, 11.31, 11.31, 11.31,
11.31, 11.31, 11.31, 11.49, 11.49, 11.49, 11.49, 11.49, 11.49,
11.49, 11.49, 11.49, 11.49, 11.49, 11.49, 11.36, 11.36, 11.36,
11.36, 11.36, 11.36, 11.36, 11.36, 11.36, 11.36, 11.36, 11.36,
10.94, 10.94, 10.94, 10.94, 10.94, 10.94, 10.94, 10.94, 10.94,
10.94, 10.94, 10.94, 10.51, 10.51, 10.51, 10.51, 10.51, 10.51,
10.51, 10.51, 10.51, 10.51, 10.51, 10.51, 12.03, 12.03, 12.03,
12.03, 12.03, 12.03, 12.03, 12.03, 12.03, 12.03, 12.03, 12.03,
14.05, 14.05, 14.05, 14.05, 14.05, 14.05, 14.05, 14.05, 14.05,
14.05, 14.05, 14.05, 15.03, 15.03, 15.03, 15.03, 15.03, 15.03,
15.03, 15.03, 15.03, 15.03, 15.03, 15.03, 14.31, 14.31, 14.31,
14.31, 14.31, 14.31, 14.31, 14.31, 14.31, 14.31, 14.31, 14.31,
12.58, 12.58, 12.58, 12.58, 12.58, 12.58, 12.58, 12.58, 12.58,
12.58, 12.58, 12.58, 11.45, 11.45, 11.45, 11.45, 11.45, 11.45,
11.45, 11.45, 11.45, 11.45, 11.45, 11.45, 12.27, 12.27, 12.27,
12.27, 12.27, 12.27, 12.27, 12.27, 12.27, 12.27, 12.27, 12.27,
12.97, 12.97, 12.97, 12.97, 12.97, 12.97, 12.97, 12.97, 12.97,
12.97, 12.97, 12.97, 13.04, 13.04, 13.04, 13.04, 13.04, 13.04,
13.04, 13.04, 13.04, 13.04, 13.04, 13.04, 13.41, 13.41, 13.41,
13.41, 13.41, 13.41, 13.41, 13.41, 13.41, 13.41, 13.41, 13.41,
11.93, 11.93, 11.93, 11.93, 11.93, 11.93, 11.93, 11.93, 11.93,
11.93, 11.93, 11.93, 12.45, 12.45, 12.45, 12.45, 12.45, 12.45,
12.45, 12.45, 12.45, 12.45, 12.45, 12.45, 12.99, 12.99, 12.99,
12.99, 12.99, 12.99, 12.99, 12.99, 12.99, 12.99, 12.99, 12.99,
12.68, 12.68, 12.68, 12.68, 12.68, 12.68, 12.68, 12.68, 12.68,
12.68, 12.68, 12.68, 13.82, 13.82, 13.82, 13.82, 13.82, 13.82,
13.82, 13.82, 13.82, 13.82, 13.82, 13.82, 16.39, 16.39, 16.39,
16.39, 16.39, 16.39, 16.39, 16.39, 16.39, 16.39, 16.39, 16.39,
28.11, 28.11, 28.11, 28.11, 28.11, 28.11, 28.11, 28.11, 28.11,
28.11, 28.11, 28.11, 33.45, 33.45, 33.45, 33.45, 33.45, 33.45,
33.45, 33.45, 33.45, 33.45, 33.45, 33.45, 36.63, 36.63, 36.63,
36.63, 36.63, 36.63, 36.63, 36.63, 36.63, 36.63, 36.63, 36.63,
60.8, 60.8, 60.8, 60.8, 60.8, 60.8, 60.8, 60.8, 60.8, 60.8,
60.8, 69.9826086956522, 72.5090909090909, 75.59, 64.0727272727273,
59.7818181818182, 62.6904761904762, 71.6590909090909, 83.9521739130435,
97.6666666666667, 80.7136363636364, 86.7863636363636, 99.2571428571429,
105.247826086957, 125.914285714286, 127.615, 139.769565217391,
172.468181818182, 161.347619047619, 143.631818181818, 126.363636363636,
145.340909090909, 140.627272727273, 148.480952380952, 160.55,
168.526086956522, 179.63, 187.18, 169.35652173913, 179.261111111111,
177.095, 170.877272727273, 172.97619047619, 177.45, 177.227272727273,
150.433333333333, 135.540909090909, 136.455, 140.347619047619,
140.395238095238, 144.663636363636, 147.647368421053, 136.272727272727,
134.621052631579, 127.936363636364, 107.795454545455, 99.47,
113.947826086957, 120.345454545455, 128.873684210526, 150.490909090909,
154.638888888889, 139.87, 137.390909090909, 124.009523809524,
114.815, 127.191304347826, 137.055, 134.185714285714, 132.572727272727,
136.32380952381, 135.790476190476, 128.119047619048, 121.37,
111.833333333333, 114.580952380952, 100.56, 92.7428571428571,
95.9739130434782, 92.6333333333334, 82.2681818181818, 80.0913043478261,
73.125, 68.8, 67.3863636363636, 62.69, 56.9409090909091,
51.15, 60.2333333333333, 62.2863636363636, 51.504347826087,
55.3809523809524, 56.4318181818182, 52.7409090909091, 46.1619047619048,
6584.80078125, 6978.927734375, 6733.787109375, 6233.369140625,
6000.76953125, 6294.833984375, 6622.166015625, 6584.505859375,
6655.357421875, 6691.947265625, 6452.666015625, 6390.912109375,
6403.7734375, 6370.748046875, 6292.43359375, 6307.060546875,
6352.15625, 6169.462890625, 6150.337890625, 5999.1171875,
5579.064453125, 5216.7109375, 5100.24609375, 5496.025390625,
5628.904296875, 5716.759765625, 5653.357421875, 5394.0546875,
5211.837890625, 5186.697265625, 5068.580078125, 4953.02734375,
4310.296875, 3916.5078125, 3433.65747070313, 3576.26953125,
3796.9599609375, 4228.197265625, 4831.7734375, 4817.78515625,
5031.533203125, 4883.158203125, 4804.037109375, 4852.7578125,
4910.5234375, 4674.150390625, 4585.166015625, 4657, 4670.48046875,
4639.912109375, 4780.826171875, 4911.40625, 4811.423828125,
4773.232421875, 4640.1796875, 4736.07421875, 4705.63671875,
4750.294921875, 4748.400390625, 4858.982421875, 4947.16796875,
5050.78515625, 5211.72265625, 5489.50390625, 5604.14453125,
5553.4375, 5090.466796875, 4907.484375, 4570.177734375, 4239.484375,
4034.45458984375, 4089.57006835938, 4034.45458984375, 3988.15747070313,
4135.8671875, 4085.16088867188, 4043.27319335938, 4087.36547851563,
3910.99584960938, 3807.37866210938, 3723.60327148438, 3644.23681640625,
3642.0322265625, 3562.666015625, 3525.1875, 3716.9892578125,
3772.10473632813, 3897.76806640625, 4435.6953125, 4435.6953125,
4753.16015625, 5306.51953125, 5332.9765625, 5692.328125,
5937.041015625, 7661.0546875, 8073.318359375, 8666.361328125,
15496.2734375, 18011.74609375, 17024.076171875, 15588.8671875,
14592.37890625, 14186.73046875, 11878.4921875, 11556.6171875,
13342.359375, 16920.458984375, 17725.14453125, 18582.474609375,
17156.353515625, 15261.5, 13454, 12143, 12275, 12910, 11222,
10425, 9793, 8809, 7056, 6977, 9267, 8939, 8698, 8422, 9318,
10957, 10844, 9145, 8587, 8158, 8569, 8672, 8700, 9023, 8499.609375,
8296.5, 8515.201171875, 8154.75, 7675.953125, 7453.86328125,
7258.5, 7140.263671875, 7531.13671875, 7888, 7430.455078125,
7417.951171875, 7333.947265625, 7202.36328125, 7516.173828125,
7279.75, 6918.572265625, 6322.5, 5593.71484375, 5751.1904296875,
5948.10009765625, 6050.75, 5974.9130859375, 5987.5, 5777.78955078125,
5544.318359375, 5051.181640625, 4740.47607421875, 4376.04541015625,
4464.85693359375, 4642.27294921875, 5139.7998046875, 5584.0478515625,
5830.10009765625, 5590.4345703125, 5400.26318359375, 6082.85693359375,
6287.04541015625, 6230.5712890625, 5856.13623046875, 6370.681640625,
6735.85693359375, 7474.54541015625, 8540.650390625, 9596.1904296875,
8431.25, 7522.39111328125, 7405, 7262.380859375, 7877.27294921875,
8618, 8931.818359375, 8397.25, 8068.86376953125, 8498.095703125,
8074.21044921875, 7870.71435546875, 8198.5, 8046.39990234375,
8047, 8042.85693359375, 7713.15771484375, 7202.60888671875,
7037.619140625, 7329.8095703125, 7028.69580078125, 6960.71435546875,
6571.0478515625, 7069.13623046875, 7736.5791015625, 7893.21044921875,
7313.13623046875, 7476, 7060, 6832.7392578125, 6764.4501953125,
6498.28564453125, 6373.47802734375, 6137.25, 5942.380859375,
5489, 5367.25, 5397.04541015625, 5391, 5016.84228515625,
4456.90478515625, 4332.619140625, 4078, 4100.9091796875,
3870.45458984375, 4117.25, 3865.76318359375, 4264, 4623.25,
5002.95454545455, 5054.75, 5395.78947368421, 5194.77272727273,
5696.36363636364, 6431.42857142857, 7029.09090909091, 7317.61904761905,
7946.81818181818, 8073.23529411765, 8315.25, 9583.75, 10255.4,
9746.5, 10122.9130434783, 8384.31818181818, 8174.80952380952,
8038.4347826087, 8624.80952380952, 7650.63636363636, 7350.59090909091,
7318.8, 6975.90909090909, 6546.8, 6165.18181818182, 6363.11111111111,
7086.47619047619, 6674.33333333333, 5962.54545454546, 5525.63636363636,
5057.65, 4830.78260869565, 5131.31818181818, 5315.82352941176,
6061.36363636364, 6039.95, 6543.2, 6956.80952380952, 6771.18181818182,
7147.61111111111, 7137.69565217391, 6736.85714285714, 6664.95238095238,
6818.91304347826, 7314.80952380952, 7206.33333333333, 8032.90909090909,
8607.95, 8339.71428571429, 7930.6, 8347.75, 8839.04761904762,
8831.78260869565, 9359.9, 9995.81818181818, 11040.347826087,
12052.4, 14185.2095238095, 15089.3333333333, 15099.35, 13786.5434782609,
12725.9, 11228.6052631579, 13599.3636363636, 15020.0681818182,
13639.619047619, 13430.3636363636, 14378.4761904762, 14089.5136363636,
13764.9761904762, 14563.75, 15415.6, 16239.9047619048, 16138.3333333333,
17002.25, 16113.1818181818, 14587.5952380952, 14962, 14154.5454545455,
12431.119047619, 12235.0454545455, 13490.45, 14660.8095238095,
14974.5, 14925.4782608696, 18028.8888888889, 21131.3333333333,
20585.9090909091, 26185.7142857143, 30468.8636363636, 29702.619047619,
32551.1363636364, 31891.5909090909, 34400.5263157895, 36821.5909090909,
41078.25, 46125.2272727273, 49956.5789473684, 51783.3333333333,
41551.6666666667, 33400.2272727273, 27649.6363636364, 29548.4,
31156, 30505.6363636364, 26053.5555555556, 27774.7727272727,
28064.9523809524, 31093.0526315789, 28776.8181818182, 25656.5,
22562.5714285714, 20106.9565217391, 19111.8, 17781.8636363636,
12144.8695652174, 10776.5, 9846.92857142857, 11562.9523809524,
10410.75, 9710.72727272727, 11331.6, 12763.3611111111, 14961.9523809524,
16024.5, 19375.925, 17404.6363636364, 18489.4772727273,
16911.3333333333,
17121.6190476191, 18405.55, 19060.55, 22467.1739130435, 26028.5,
21930, 19411.2954545455, 19548.5227272727, 21448.7857142857,
22690.1363636364, 23793.6785714286, 22836.2272727273, 24099.5714285714,
25621.225, 28412.175, 26710.347826087, 26332.1666666667,
24164.55, 22420.9318181818, 23847.9523809524, 21864.6818181818,
20377.5909090909, 19039.0476190476, 17873, 18246.0375, 19908.619047619,
20393.6666666667, 18660.8068181818, 17892.8157894737, 16968.3181818182,
16603.6842105263, 16128.4090909091, 15703.9886363636, 17287.9625,
17168.7391304348, 16335.3636363636, 17448.5, 17494.0681818182,
17690.1, 16731.7, 15629.3095238095, 14948.2261904762, 14280.275,
13750.3152173913, 14308.2619047619, 13801.3928571429, 14117.652173913,
13684.0119047619, 13924.55, 14101.25, 14203.55, 15678.0952380952,
17373.6, 19401.075, 18628.8095238095, 19117.652173913, 18600.2,
18034.7954545455, 15812.3695652174, 15807.05, 15962.0476190476,
14849.1904761905, 14573.8375, 13755.5, 12830.925, 13511.3421052632,
12825.2272727273, 11413.097826087, 10386, 9937.54545454545,
10316.8295454545, 9244.33333333333, 16973.5879043457, 17090.2131635254,
17460.5904, 17041.7126, 17180.6047364746, 17211.4672635254,
17090.2131635254, 17008.6433, 17295.2439, 16682.3584635254,
15599.8932729492, 14698.2004635254, 14360.8925270508, 13679.6671,
13624.5516, 13344.5659364746, 12683.1799364746, 12583.9720364746,
13419.5208635254, 14477.7384635254, 14969.3698, 15101.647,
15826.9648270508, 15954.8338635254, 16124.5885270508, 15930.5862729492,
12813.2503635254, 12628.0644364746, 12736.0886635254, 11098.0569454407,
11316.3155364746, 12187.1404364746, 12678.7717729492, 12420.8269270508,
11982.1097, 12041.6333635254, 12079.1108270508, 13040.3273,
13459.2051, 13787.6913270508, 13523.1369270508, 13351.1808729492,
13190.2425364746, 12811.0489729492, 12751.5199270508, 12747.1117635254,
12769.1579635254, 12341.4638364746, 12112.1801270508, 12292.9632729492,
12403.1942729492, 12440.6717364746, 12577.3571, 12658.9269635254,
12442.8731270508, 12299.5728270508, 12087.9325364746, 11739.6015,
11988.7246364746, 11719.7620729492, 11073.4002945129, 10946.00019729,
11210.6010202576, 11806.4007862915, 11909.8002093018, 12385.799788855,
12755.8002592163, 12647.2001182495, 12325.2009963135, 12391.1000807129,
9903.15330911865, 9114.00053773193, 7910.00069096069, 7922.90022076416,
7313.6001175354, 5686.10035791016, 5474.20003143616, 5378.30060886841,
5386.59989170837, 5404.30016187134, 5397.20013902588, 5542.80073070679,
6092.29997819824, 6428.10017742309, 6712.70055303955, 6688.40048432617,
6631.50072766113, 6699.80035043945, 6747.40003927612, 6610.39980692749,
6404.90013120117, 6556.10040924072, 6706.30023869019, 6763.80012994995,
6927.30047599487, 6829.40049264526, 6808.10042410889, 6690.10064141235,
6772.90037717895, 6752.60075723267, 6777.60053444214, 7035.80037026367,
7148.80060119629, 7322.7003647644, 7408.50010070801, 7252.7005848999,
7312.40052114258, 7337.40029835205, 7409.60079599609, 7873.70062153931,
8760.50040474243, 10195.9005791382, 10143.7003069397, 9935.50069833374,
9605.20061156616, 8715.6006487854, 8269.69997210693, 7922.40033286743,
6837.30047068481, 6744.09997180176, 6592.00016466675, 6156.09993710937,
6270.50025783081, 6390.90057890625, 6324.60050771484, 6096.00035966797,
5924.40021498413, 5905.2006175293, 5707.00011245117, 6061.40044733276,
5981.3006444458, 5615.20037615356, 5610.7579, 5582.09810911865,
5515.95950911865, 5557.84715455933, 5698.72202270508, 5709.30444091186,
5673.59979650879, 5647.72000130615, 5575.09564178467, 5550.09115499878,
5514.45042627563, 5515.89492064209, 5483.09137531128, 5612.10012927856,
5637.04540996094, 5836.2497276123, 6113.15801934814, 6631.99994276123,
6980.49985119018, 6784.21076134033, 6643.33320200806, 6025.90907946167,
5735.71439985962, 5765.80926595459, 5913.09992277222, 5792.75006144409,
5666.30466264038, 5596.49999379883, 5505.47363722839, 5115.45443951416,
4978.54537110901, 4819.00006005859, 4510.68192121277, 4687.23822227783,
4643.81828251038, 4781.69987844543, 4950.71412927856, 5442.45008562927,
5405.52162415466, 5383.05257147217, 5493.47632770691, 5497.63622927551,
5300.95254420166, 5173.31831375122, 5318.72715839233, 5479.28570116882,
6139.09096548462, 5935.50001380005, 6187.61911367188, 5431.00009616699,
5516.30431739197, 5854.44416690063, 5924.52400956421, 6646.81828855591,
6640.75033574219, 6966.13631591797, 6333.7498690979, 6209.54555587158,
6381.6664451477, 6275.78978494263, 6257.14255352173, 6189.28563092651,
6205.24974938354, 6467.2502133728, 6401.90484060059, 6183.7498602478,
6245.52201011352, 6109.52357194824, 6093.71419671631, 5933.09072906494,
5993.85704796753, 5826.23784094849, 5871.13625131226, 5874.3158881897,
5901.31588978271, 5707.59082789307, 5704.84985441895, 5560.28570594788,
5435.78267101746, 5423.29993872681, 5493.47632770691, 5556.52174519653,
5650.99988488159, 5506.19050203857, 5200.49997043457, 5236.49997255859,
5468.63633969726, 5707.00011245117, 5868.15778062744, 5967.85682216797,
5651.19028632812, 5690.26295066528, 5479.77280592957, 5424.49987151794,
5477.99998680725, 5262.36833021851, 5102.99996468201, 5262,
5292.95454545455, 5381.75, 5643.15789473684, 5262.72727272727,
5210.45454545455, 5224.28571428571, 5336.81818181818, 5425.2380952381,
5835.22727272727, 5719.11764705882, 5926.25, 5669, 5463.8,
5398.05, 5437.95652173913, 5461.18181818182, 5329.7619047619,
5314.34782608696, 5471.80952380952, 5266.45454545455, 5264.81818181818,
5227.4, 5168.5, 5121.25, 5049.63636363636, 4949.77777777778,
4951.78947368421, 4829.90476190476, 4343.59090909091, 3929.45454545455,
3698.36842105263, 3749.17391304348, 4059.31818181818, 4022.47058823529,
3867.95454545455, 3724.61111111111, 3850.75, 4026.47619047619,
4152.81818181818, 4303.33333333333, 4313.78260869565, 3832.2380952381,
3961.7619047619, 4242.08695652174, 4228.95238095238, 4227.19047619048,
4445.27272727273, 4572.3, 4592.66666666667, 4561.25, 4734,
4678.04761904762, 4733.26086956522, 4802.55, 4907.27272727273,
5227.4347826087, 5363.35, 6058.40714285714, 6432.4880952381,
6662.7, 7602.20652173913, 8909, 9391.63157894737, 9158.63636363636,
9021.90909090909, 9021.42857142857, 9015.68181818182, 9043.21428571429,
9038.65, 8473.71428571429, 7705.65, 8106.325, 8442.23809523809,
8133.80952380952, 8099.25, 7604.36363636364, 7180.92857142857,
7228.13636363636, 6770.58181818182, 6415.47619047619, 6173.71818181818,
6762.5, 7067.3619047619, 7788.865, 7949.02173913044, 8859.65555555556,
8793.16666666667, 7858.77272727273, 8356.44047619048, 8436.68181818182,
8975.02380952381, 9809.5, 10038.4090909091, 11125.9473684211,
11331.4545454545, 12890.2, 13787.25, 13952.8421052632, 14162.1428571429,
14078.8333333333, 14732.7272727273, 15046.9772727273, 14989.05,
16068.347826087, 16660.7727272727, 16244.7222222222, 16310.9318181818,
17269.8095238095, 19799.0789473684, 21646.0227272727, 23853.6,
22133.4285714286, 22955.6304347826, 19935, 18306.5909090909,
14423.347826087, 13674.15, 11292.1428571429, 11563.3333333333,
11074.775, 10689.4090909091, 11830.2, 13871.8333333333,
15009.0714285714,
13903.5909090909, 14761.65, 14936.2272727273, 15037.4090909091,
14966.1428571429, 15588.6904761905, 17710.2, 16352.3, 17509.1304347826,
18634.6, 17565.0263157895, 17257.7272727273, 18206.5227272727,
20733.0714285714, 22694.3636363636, 26237.0952380952, 25403.0909090909,
26103.8571428571, 27439.35, 31619.65, 30590.9347826087,
32347.6944444444,
28571.4, 25519.6818181818, 27398.0952380952, 24056.7272727273,
22526.6022727273, 21868.6428571429, 21291.7045454545, 19386.9125,
21547.7023809524, 24293.3095238095, 22985.4318181818, 22114.5263157895,
20295.3409090909, 19255.3947368421, 18546.0909090909, 18675.5568181818,
20771.2625, 21233.6956521739, 20713.0681818182, 22880.8947368421,
24598.8977272727, 24211.7375, 23302, 21589.6428571429, 20781.619047619,
20267.4, 19563.8260869565, 21638.2142857143, 22735.0714285714,
23101.5869565217, 22826.880952381, 22762.125, 22063.8636363636,
22820.675, 23024.3095238095, 23405.2, 23271.25, 22762, 22424.0108695652,
22231.05, 21090.5227272727, 19830.4130434783, 20033.475,
19829.7142857143, 19454.119047619, 18233.9125, 17421.9090909091,
15900.875, 15803.5921052632, 15064.9431818182, 15071.5326086957,
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