C题 洗涤溶液的配方
问题研究的背景:
洗涤溶液是通过其中的化学成分溶于水后改变水溶液的物理化学性质来实现去污的作用的,因此通过测量洗涤产品溶于水后的溶液的一些属性就可以了解产品去污的效果。如果能建立溶液属性和产品效果之间的模型,就可以找出能够最大化产品效果的溶液的属性,根据这些属性和化工技术知识我们就可以找出最优的配方。
试验设计及试验数据
为了研究洗涤溶液的物理属性对去污效果的影响,我们分别测量了86个不同产品溶液的物理属性和它们的去污效果的数据。(附件一)
1. 现有86个产品的物理属性及效果数据,从中等间距选取10个产品(即第5,10,15,20,25,30,35,40,45,50个产品)作为验证模型预测精度的数据,请用剩下的76组数据来建立模型。
2. 每一个产品的21个属性作为输入变量 (PP1—PP21)。
3. 产品在18种污渍上的功效作为输出变量 (O1—O18)。
要求:
1. 请根据现有数据拟合出一个数学模型,模型能够基于产品的属性数据对产品的功效做出比较可靠的预测;
2. 考虑所有输入变量的线性项,根据模型的需要选择它们的平方项及交互作用项;
3. 对此数据用多种不同的方法进行分析;
4. 选择合适的能够反映模型预测能力的评价准则(可以根据需要提出新的准则),并根据准则选出最优的建模方法和最优模型;
5. 提供数据说明拟合出的模型的预测能力。
注意:某些产品的某些属性有缺失数据,请在文中说明你所采用的缺失数据处理方法。
说明:请参赛者提供一个预测程序,需满足如下条件
 能够读取规定格式的Excel数据,并根据参赛者选出的最优模型对Excel数据中所提供的输入变量对产品功效做出预测,并将预测结果按照一个规定的模版输出到一个新的Excel文件中
 编程语言请从MATLAB、R, C中选取。
 预测程序的数据输入及输出格式模版(见附件二.xls)
Treatment PP1 PP2 PP3 PP4 PP5 PP6 PP7 PP8 PP9 PP10 PP11 PP12 PP13 PP14 PP15 PP16 PP17 PP18 PP19 PP20 PP21 O1 O2 O3 O4 O5 O6 O7 O8 O9 O10 O11 O12 O13 O14 O15 O16 O17 O18
1 3455.50 1.72 4.77 102.74 187.51 48.01 49.65 42.57 16.52 42.81 44.41 44.68 44.84 47.49 46.93 40.51 43.72 43.96 44.92 47.41 47.33 42.91 92.38 86.54 63.78 28.84 31.48 75.10 87.94 43.43 23.50 24.37 27.89 19.35 27.74 41.01 47.75 14.53 17.52
2 3251.50 0.15 6.97 90.74 158.03 46.81 49.78 57.14 21.90 43.00 45.97 45.63 44.04 48.50 49.53 41.27 44.67 44.36 44.79 47.46 46.00 54.39 83.23 81.15 69.30 55.82 58.36 69.15 82.55 54.02 25.58 30.46 28.96 16.52 21.87 46.34 48.88 14.92 9.10
3 4505.50 -1.81 7.23 96.01 167.87 51.72 52.42 71.26 47.84 44.52 48.30 47.93 43.51 47.39 48.42 45.19 45.38 46.28 45.86 49.23 48.73 64.30 93.62 89.05 76.97 64.01 59.54 85.20 90.97 68.91 37.28 31.34 38.81 52.26 59.65 50.28 47.06 32.50 23.26
4 3263.50 2.16 7.07 86.15 154.73 47.41 42.79 30.18 18.08 42.79 43.79 43.18 43.83 43.94 43.56 42.38 43.30 43.88 43.72 45.06 45.46 65.26 91.13 87.92 70.11 51.31 60.92 73.79 89.35 70.73 33.23 25.40 34.67 36.76 45.21 50.35 50.97 23.92 20.59
5 1601.00 1.88 7.99 103.12 184.48 48.17 42.99 47.51 11.71 40.88 42.70 42.94 43.64 43.62 44.34 40.88 43.34 44.03 41.14 44.92 45.44 66.43 85.68 83.41 62.40 52.78 48.81 72.96 84.65 61.26 32.47 26.86 31.54 19.20 24.01 45.79 48.97 16.24 11.98
6 4711.50 -0.11 3.78 56.16 87.37 47.43 43.91 44.12 11.19 42.22 45.71 45.83 45.54 43.39 44.42 43.56 43.89 43.38 44.45 45.45 45.10 73.66 91.47 89.11 83.38 67.21 53.48 74.12 88.96 67.40 44.95 44.81 48.12 38.95 54.01 46.60 62.59 24.06 16.12
7 7038.50 -0.44 4.69 95.06 165.77 50.94 48.43 70.31 41.04 46.69 47.60 47.41 46.58 45.59 47.42 46.25 45.66 46.09 46.68 49.32 49.08 60.97 95.44 92.91 69.87 70.51 64.05 88.18 93.57 72.86 35.53 29.80 37.66 58.57 73.40 56.87 48.92 43.11 27.18
8 5146.00 0.60 2.32 98.76 171.99 50.45 49.75 69.61 43.01 42.60 44.37 47.32 44.58 45.58 47.56 45.51 45.19 46.10 45.88 49.38 48.96 55.96 93.08 86.38 65.64 36.33 57.55 78.32 88.73 51.80 21.26 21.30 24.51 21.28 32.31 53.09 43.70 24.07 10.61
9 3575.50 1.91 3.59 97.23 176.10 49.83 46.97 62.17 20.75 43.00 44.78 46.32 44.43 46.60 46.50 45.61 44.92 45.99 46.14 48.16 47.74 48.23 87.26 84.35 52.44 48.92 52.24 74.30 84.84 52.70 25.86 22.21 22.07 9.28 24.20 45.41 46.50 18.29 9.57
10 5912.50 0.50 0.37 94.13 166.30 49.88 42.34 57.34 26.17 43.79 48.10 49.10 43.60 48.59 49.17 44.80 46.46 46.29 46.01 49.26 49.22 66.22 92.75 87.05 78.71 67.50 63.82 81.93 88.42 74.20 52.65 52.47 58.01 74.64 77.34 53.54 56.58 28.09 25.74
11 4458.00 1.92 2.82 74.09 126.09 51.81 49.34 57.34 23.67 43.39 47.38 47.81 44.00 47.81 47.01 43.04 45.30 45.61 44.99 48.26 47.91 55.87 92.36 88.48 72.08 41.18 46.32 78.20 91.09 67.83 38.07 34.65 39.37 32.99 47.55 47.82 47.04 23.27 20.95
12 4858.00 -0.86 4.71 88.34 154.14 51.18 48.44 55.39 22.56 42.83 46.47 46.40 43.16 46.95 47.04 44.85 46.40 45.24 44.99 48.28 48.59 57.19 95.18 91.78 72.18 67.13 56.03 88.31 94.29 75.49 60.88 59.15 67.98 62.99 70.05 50.55 54.36 36.05 24.85
13 5058.50 -0.05 1.55 84.17 139.78 55.50 46.17 64.64 46.35 40.30 46.12 46.11 39.29 46.27 46.91 44.39 45.80 45.56 45.58 48.82 48.82 59.77 97.62 92.86 74.90 69.53 53.69 89.09 93.88 71.05 57.53 57.27 59.99 67.85 79.20 49.36 50.47 31.72 25.33
14 6253.50 -4.38 7.53 46.07 96.06 49.01 50.16 50.70 24.63 39.04 46.19 45.11 37.36 45.71 46.03 44.27 45.54 45.64 45.40 47.99 48.68 73.00 95.80 90.18 81.31 70.71 69.68 84.49 89.53 74.83 41.97 40.15 48.03 60.95 65.23 51.49 58.24 25.74 19.00
15 4322.50 -1.47 4.32 93.18 162.03 48.44 46.63 55.37 15.51 38.06 44.65 44.25 40.04 44.82 45.16 40.19 43.47 43.51 42.31 45.62 45.43 63.04 91.71 88.92 77.77 45.87 59.39 81.85 89.14 70.78 29.83 22.57 33.84 34.95 47.98 51.33 46.75 21.64 11.01
16 5592.50 -2.53 7.59 89.47 143.19 53.83 49.32 64.08 36.98 43.64 46.07 45.97 42.94 46.06 46.71 43.77 45.42 45.53 45.18 48.45 48.87 61.62 96.18 91.32 72.99 71.32 61.31 88.07 93.34 73.24 68.79 63.62 74.67 73.15 73.80 52.34 51.25 30.84 23.28
17 4678.00 0.94 1.81 86.47 137.80 54.85 52.65 70.77 50.06 38.03 46.62 46.54 38.98 46.94 47.41 43.24 45.73 45.55 44.57 48.66 48.93 66.90 95.66 90.14 77.96 71.93 62.91 86.52 90.03 72.38 44.60 39.70 48.47 66.98 75.51 54.85 49.14 38.22 20.59
18 4027.00 -0.52 7.37 83.82 147.74 47.73 41.07 55.10 15.05 44.98 45.81 45.30 45.80 46.69 46.59 44.31 44.51 45.48 45.48 45.63 45.34 76.61 90.09 87.21 74.68 52.89 51.84 77.43 90.22 44.41 33.24 27.44 38.67 33.66 44.89 54.26 57.00 19.99 15.53
19 4390.50 -0.92 5.04 90.53 145.03 48.81 50.31 56.28 21.96 44.42 47.01 47.23 45.27 47.81 49.96 45.98 45.75 46.39 47.97 50.48 49.36 66.54 95.46 90.36 79.31 74.69 65.81 88.52 93.52 73.72 66.69 58.29 67.98 64.84 69.26 51.02 51.86 25.92 23.72
20 3092.00 -0.97 4.91 79.18 126.74 49.67 41.66 53.39 18.74 42.68 46.61 46.29 43.23 46.97 49.33 44.02 45.41 45.74 45.19 49.84 48.80 62.93 90.21 84.98 75.43 70.78 56.64 77.38 91.16 76.25 47.55 50.75 56.17 48.74 63.74 48.00 53.31 23.16 16.18
21 2907.00 2.37 5.26 93.76 163.11 51.78 50.38 55.72 27.16 42.33 46.28 43.97 41.17 46.15 47.74 42.91 43.85 45.70 42.74 47.18 47.40 59.25 83.36 80.65 63.56 40.34 57.53 74.37 84.36 62.86 15.86 14.51 18.09 28.60 39.03 56.88 56.37 22.08 15.72
22 5479.00 -0.05 4.06 90.74 155.36 52.91 52.80 69.16 40.29 46.29 45.69 46.28 46.04 48.27 48.26 46.23 45.66 46.05 47.26 49.59 49.71 62.27 90.70 88.89 76.07 53.67 54.23 88.02 92.81 70.00 24.67 19.30 30.39 61.20 72.87 55.98 55.66 40.39 30.29
23 7118.00 -0.13 4.03 88.22 136.04 51.78 49.35 64.10 38.82 43.18 45.59 42.40 42.43 49.35 49.90 44.96 45.69 46.05 47.22 49.77 49.55 85.31 94.61 96.13 92.79 80.11 67.60 92.25 96.22 92.19 76.70 70.87 80.02 78.52 84.87 51.99 55.03 41.74 31.38
24 4211.00 -0.07 4.10 88.29 153.83 50.69 48.22 56.54 22.37 43.71 44.93 43.74 44.37 45.67 47.14 44.94 45.59 45.07 46.69 49.40 48.43 28.40 88.40 87.95 62.06 42.87 23.11 83.46 91.29 49.30 21.04 11.78 22.24 60.42 65.53 56.04 56.00 33.65 24.31
25 3710.50 -0.13 4.50 48.27 89.35 42.43 46.41 45.64 19.34 43.75 45.68 42.44 43.65 45.63 44.51 43.67 45.54 44.77 43.23 45.85 46.38 61.16 88.47 86.47 89.22 75.12 37.80 79.91 91.58 88.29 54.55 49.09 62.71 67.23 71.43 52.14 67.32 35.14 32.20
26 5000.00 0.83 0.90 87.78 153.46 51.31 50.80 53.59 32.62 44.01 46.97 49.00 46.02 48.46 48.79 45.55 46.79 46.91 48.37 49.60 50.24 58.16 87.70 88.20 85.70 71.33 52.55 84.78 90.88 78.07 28.48 31.40 46.29 77.49 85.64 53.01 57.92 39.26 29.72
27 4391.50 -1.72 4.83 84.72 130.78 49.42 50.58 61.44 31.73 44.64 46.69 48.46 45.90 48.16 48.36 45.56 46.49 46.65 48.41 49.21 49.82 46.45 93.32 90.71 73.94 61.70 43.08 88.99 96.44 71.87 35.59 36.58 39.66 70.87 79.77 55.88 63.74 36.13 29.81
28 4586.50 -1.15 5.22 90.23 144.10 51.58 52.16 53.39 29.35 44.29 45.94 47.16 44.52 47.13 47.40 45.72 46.04 46.40 48.44 49.00 49.49 68.17 93.44 91.86 80.54 64.69 60.22 86.88 95.41 78.40 40.69 53.97 53.75 69.28 78.13 52.97 58.03 36.86 28.88
29 4963.50 -0.52 2.08 85.51 137.11 53.62 43.71 65.56 46.60 43.04 45.28 47.31 43.53 46.45 47.28 44.98 45.56 46.38 47.90 48.63 49.54 65.37 91.41 89.84 88.66 73.53 53.38 87.22 93.50 78.68 45.10 49.26 54.19 70.48 78.11 52.74 51.89 36.26 26.44
30 2441.50 1.12 5.54 57.81 103.66 49.72 45.88 53.68 15.98 43.10 44.80 45.01 44.90 45.80 46.38 45.42 45.68 45.89 47.93 48.35 49.04 42.56 80.58 81.01 72.15 30.01 29.18 72.56 87.81 57.97 25.02 22.89 31.64 32.85 46.42 46.01 56.58 23.78 22.85
31 837.00 1.70 3.80 46.19 86.95 48.77 46.05 54.02 12.18 40.48 43.92 44.89 40.77 44.46 44.89 42.01 44.75 44.66 45.16 46.91 47.14 16.24 77.54 77.35 32.14 8.44 14.30 69.43 80.23 38.81 13.61 7.33 8.18 17.60 27.16 45.71 45.03 20.80 15.49
32 4755.50 -1.61 6.19 83.56 144.92 52.40 52.70 68.01 35.43 43.17 45.82 47.89 43.82 46.02 46.62 44.37 45.69 46.15 48.24 48.93 49.60 50.10 90.30 90.81 68.99 48.47 50.94 88.47 92.10 61.00 20.34 15.53 31.36 55.84 65.73 51.90 53.70 32.15 26.32
33 4375.50 -1.50 8.97 96.51 168.26 52.80 54.09 64.49 22.45 43.33 45.64 46.41 43.25 46.48 46.85 45.44 45.92 46.19 47.92 48.39 49.55 46.01 87.31 84.01 56.74 38.16 47.80 79.74 89.61 46.50 21.29 20.45 22.71 35.26 48.19 54.65 53.76 21.75 26.52
34 4929.00 -2.98 6.71 42.69 85.85 47.12 47.58 39.23 23.44 41.90 43.20 44.60 42.05 46.23 45.05 42.72 45.75 46.20 46.22 46.96 47.45 71.46 93.65 92.04 81.99 71.49 52.75 87.84 95.84 89.34 56.19 62.83 68.20 73.06 79.10 49.11 55.74 34.98 30.35
35 6009.00 -1.69 5.39 50.93 98.98 44.88 47.25 53.73 26.85 44.18 46.15 44.85 45.21 46.01 46.73 45.81 44.79 45.72 48.10 47.34 47.71 77.68 91.99 89.88 81.46 60.18 46.63 85.41 94.46 86.58 56.54 51.77 62.64 73.60 80.97 54.49 71.46 35.79 36.46
36 5073.00 -1.49 5.75 85.47 137.22 50.23 49.03 55.33 25.81 44.68 48.75 46.67 44.60 48.14 48.63 45.39 46.24 46.43 48.01 49.83 49.56 81.09 94.02 93.90 85.80 71.72 63.23 89.86 95.38 87.80 55.76 50.63 56.68 65.08 71.58 50.70 56.27 36.02 26.91
37 2992.50 2.91 4.69 87.19 152.57 45.86 48.18 54.01 17.58 44.49 45.76 45.62 44.50 45.79 45.83 43.92 45.02 44.82 45.27 45.99 45.80 78.90 63.23 75.11 84.74 72.76 61.69 60.31 83.46 87.62 45.36 46.05 64.28 50.65 57.88 49.17 47.28 28.89 19.54
38 265.50 3.32 5.03 65.96 118.57 45.57 41.84 52.67 13.25 40.95 43.15 43.22 40.64 42.44 42.70 41.26 41.96 42.43 41.14 43.04 43.35 9.14 79.56 78.83 12.83 6.64 -0.37 71.02 82.19 19.13 -6.09 7.04 5.76 13.70 35.36 44.71 44.98 18.99 11.59
39 6197.50 0.33 0.26 79.68 121.90 48.22 44.91 49.71 31.95 44.79 46.57 47.27 44.30 45.33 46.52 45.32 45.87 45.55 47.12 48.58 47.22 51.72 94.36 91.46 85.16 60.74 52.98 89.99 96.12 85.91 59.97 49.69 71.21 75.67 80.68 49.83 54.98 37.09 29.02
40 3445.00 -2.32 6.49 54.23 101.67 48.66 48.98 51.03 15.82 41.30 43.88 44.04 41.92 43.68 43.77 41.75 43.81 43.36 43.84 45.52 45.04 59.28 94.29 90.84 80.61 66.24 37.25 84.66 94.85 88.73 47.88 50.47 54.85 73.61 77.25 51.86 64.19 32.49 28.77
41 4168.00 -0.22 3.10 90.91 145.80 54.61 55.11 62.03 33.54 43.22 45.59 45.85 44.25 46.23 47.29 45.04 45.80 46.26 47.33 49.33 48.99 48.11 90.51 87.36 64.03 34.73 42.17 84.42 91.88 58.33 20.30 12.08 29.19 55.76 58.96 49.32 50.82 33.75 15.88
42 4581.00 -1.78 5.96 88.68 142.09 49.16 47.91 50.54 26.00 42.46 46.51 46.27 44.83 46.68 47.06 45.09 45.92 46.25 47.85 49.47 49.36 47.78 91.00 90.98 76.09 69.26 64.32 87.38 93.78 69.94 44.22 53.34 59.84 68.82 73.24 49.33 52.98 33.25 27.15
43 5931.50 -0.21 5.32 98.94 164.06 54.82 50.63 68.05 31.40 42.82 45.94 46.93 44.95 47.05 47.63 44.60 45.53 46.16 47.94 49.40 49.04 28.86 87.10 85.39 58.72 52.65 47.29 78.07 88.70 58.22 20.47 20.62 15.90 23.58 45.94 49.13 41.10 26.54 10.58
44 6501.00 1.40 0.53 90.58 151.21 52.28 51.00 71.09 32.96 45.32 49.23 49.21 46.01 49.21 48.23 45.65 48.00 46.55 45.99 49.52 49.97 38.19 92.84 88.94 65.85 53.29 38.32 85.64 92.24 59.21 24.09 24.88 32.76 59.18 71.60 48.02 45.17 34.54 21.30
45 5865.50 -5.11 8.63 63.31 113.52 49.21 48.11 44.94 35.20 44.11 48.43 46.48 45.45 47.90 47.55 45.31 47.61 46.59 45.08 47.17 47.62 72.70 88.49 90.92 89.32 85.39 63.92 87.58 88.10 86.21 72.29 75.88 82.14 73.54 79.93 47.69 51.89 32.77 27.20
46 3279.00 -0.02 6.32 87.83 150.67 47.78 49.99 55.75 15.74 43.08 47.42 47.25 45.29 47.53 46.68 44.98 47.36 44.16 44.86 48.50 49.12 62.87 85.50 81.58 69.12 46.65 67.09 78.63 86.52 70.46 38.80 34.23 40.68 45.32 49.80 50.40 50.35 22.20 15.28
47 4036.50 0.54 4.50 90.17 157.88 53.92 52.79 64.87 16.71 44.61 47.29 46.64 44.23 48.04 46.73 44.95 47.56 46.19 44.63 48.62 49.09 50.32 88.59 88.35 72.31 55.39 73.01 84.25 90.07 65.00 37.03 29.81 42.67 42.37 52.80 51.95 49.46 24.40 15.57
48 6734.50 -2.05 5.65 83.41 133.36 50.25 47.03 52.59 28.69 42.48 46.72 46.44 43.21 47.78 47.28 43.53 46.32 45.46 44.79 48.80 48.27 74.18 89.74 88.72 86.18 75.66 74.25 84.28 89.46 78.71 45.85 47.09 53.13 63.37 71.96 52.57 49.23 26.90 20.33
49 4453.50 0.73 5.32 83.74 144.62 53.99 52.32 55.29 23.15 42.77 46.57 45.90 42.67 47.16 47.07 44.88 47.46 46.17 44.86 48.60 49.38 75.80 90.86 88.81 79.37 70.60 76.65 83.96 89.73 77.71 44.85 45.22 49.66 52.07 55.56 51.19 47.36 24.28 14.97
50 4825.50 -1.87 5.94 86.68 138.33 41.38 53.21 60.88 32.12 42.90 46.13 46.07 43.90 47.22 46.74 44.58 47.43 46.32 45.70 48.66 49.21 74.25 91.78 93.57 80.15 78.02 67.71 91.79 93.39 79.79 56.08 66.15 69.40 68.46 71.34 51.39 48.08 28.61 17.53
51 6629.00 68.84 112.05 49.20 47.89 58.66 34.82 43.48 46.09 45.96 44.94 46.46 47.42 45.67 47.09 46.18 45.73 48.45 49.51 69.37 93.97 95.63 83.42 74.80 92.92 92.06 94.37 78.16 88.91 87.86 92.90 78.39 86.45 49.35 51.48 39.53 24.16
52 5006.50 -1.47 5.90 91.69 161.73 47.20 47.32 58.68 22.60 43.71 46.46 46.00 43.57 47.24 48.03 43.76 46.98 45.99 44.49 48.59 48.09 69.90 89.11 86.27 74.35 72.89 72.03 80.41 91.28 74.60 54.85 48.15 48.99 45.36 59.20 44.82 49.09 26.31 20.05
53 4596.00 0.07 3.80 43.60 49.53 62.17 27.17 43.08 46.34 46.11 44.34 47.75 46.57 42.33 45.71 45.43 44.49 49.30 47.30 76.85 87.92 87.43 84.85 78.97 81.60 82.29 89.15 86.72 49.43 52.67 46.89 39.28 62.58 48.63 51.34 29.29 16.66
54 4872.50 -0.97 5.05 49.86 46.48 54.97 15.00 42.93 48.64 48.36 44.25 48.14 47.67 43.07 45.24 45.47 45.06 48.90 48.79 69.44 89.92 91.99 83.92 84.45 78.98 86.36 92.95 79.35 61.53 72.09 62.92 54.08 70.80 46.17 51.01 30.51 21.95
55 4823.00 -0.38 5.02 90.36 158.61 46.14 48.50 55.35 16.67 41.81 46.14 46.14 43.93 47.33 45.20 42.02 44.86 45.03 44.31 48.19 48.59 67.55 84.65 81.82 60.08 62.49 54.70 74.67 84.43 53.38 29.97 29.48 35.24 24.19 39.62 50.78 49.00 18.40 16.71
56 4905.50 0.64 3.96 49.95 51.80 64.56 36.03 39.47 47.08 46.82 42.24 47.44 46.92 41.61 44.67 44.50 44.63 48.73 48.91 78.60 90.61 89.03 70.90 50.75 70.36 85.16 94.46 72.59 31.12 21.46 38.05 29.48 49.68 50.89 49.33 24.61 14.24
57 4999.00 87.15 138.41 42.59 46.29 48.72 26.82 39.41 46.80 46.18 40.47 46.76 46.01 41.77 44.80 44.00 43.78 48.61 48.48 71.39 88.67 88.91 82.58 72.37 72.43 86.80 90.37 84.34 55.89 49.52 55.54 70.73 80.36 47.99 49.78 30.35 27.01
58 3624.00 50.82 52.59 60.01 39.43 41.63 46.96 46.09 41.19 46.52 46.30 42.98 45.31 45.46 44.90 48.86 48.96 69.32 90.99 89.59 88.24 82.87 81.41 86.99 92.82 83.85 78.26 81.93 82.11 74.25 84.19 50.09 50.64 34.15 23.18
59 590.00 0.70 3.61 52.27 50.54 61.62 16.96 39.71 46.96 45.90 40.49 46.44 46.36 38.51 44.95 45.02 42.93 48.97 48.86 43.00 80.10 79.10 53.19 39.39 41.96 66.70 82.22 58.70 19.68 23.36 28.00 12.31 25.98 46.19 46.72 19.33 13.88
60 4265.50 -0.78 4.57 51.42 48.29 58.06 32.11 41.70 46.71 45.65 40.95 46.82 47.03 42.82 44.96 45.67 45.04 48.98 49.13 75.61 94.29 93.30 87.97 83.82 86.21 91.39 96.45 92.79 84.26 85.67 90.03 76.31 82.20 51.27 56.65 42.11 34.91
61 4374.00 -0.59 6.12 49.41 52.14 68.48 35.89 41.89 46.85 46.33 41.85 47.14 47.75 42.71 44.79 45.37 45.26 48.98 49.01 62.54 93.05 91.19 71.72 52.34 65.76 87.02 91.57 72.68 42.33 34.49 47.05 60.54 64.24 52.07 50.67 30.06 22.99
62 4947.50 -1.33 5.64 52.44 42.21 70.80 46.06 44.35 49.07 49.08 42.97 49.63 49.20 42.90 45.64 46.15 46.43 48.44 49.32 78.08 91.30 90.11 87.16 79.74 80.00 87.23 92.32 85.30 47.21 43.81 47.36 63.09 72.98 53.66 51.98 38.63 23.01
63 5234.00 1.60 3.16 50.58 51.99 56.12 27.34 44.13 48.36 48.04 40.38 48.80 47.59 42.83 45.15 45.23 45.94 47.95 48.38 60.28 84.02 83.99 47.17 45.77 53.84 74.85 88.32 52.73 24.65 23.56 25.31 22.36 32.20 47.34 46.54 17.35 6.48
64 3146.50 -0.53 7.67 44.02 47.32 49.08 9.44 41.40 44.98 44.22 38.96 45.34 43.14 38.67 43.09 43.68 44.77 47.22 47.39 39.57 90.27 85.78 56.69 25.78 32.88 81.23 91.14 57.12 10.03 -0.35 6.68 31.92 47.93 47.92 51.53 22.56 20.27
65 3608.00 0.24 1.90 82.42 135.69 35.04 49.66 64.24 30.13 43.40 47.34 46.34 41.63 47.59 48.69 37.18 45.00 44.44 42.22 47.71 47.77 59.77 92.75 89.64 71.22 52.52 57.72 85.19 92.29 61.98 12.55 13.25 10.26 59.51 71.76 50.27 53.84 30.94 20.55
66 6178.50 -0.32 4.87 50.21 52.18 65.87 38.92 43.78 47.87 47.18 43.72 47.48 48.45 42.24 45.91 45.42 44.04 47.91 48.07 57.10 94.45 95.82 71.72 54.69 52.63 96.22 93.68 75.88 54.48 54.22 59.32 77.89 85.64 53.24 52.75 37.58 24.18
67 4366.50 -1.66 6.43 48.94 51.99 49.33 25.50 43.93 45.96 45.63 43.46 47.82 47.95 42.98 46.16 45.02 45.71 48.07 47.99 58.86 94.35 95.35 66.19 49.28 44.03 94.50 93.68 64.45 31.44 32.23 42.79 70.27 75.88 50.30 55.04 33.87 31.38
68 6094.50 -1.53 4.08 48.44 47.73 55.78 38.09 42.55 45.36 44.98 40.47 47.14 47.30 43.72 44.75 44.74 45.16 47.95 47.81 38.39 93.98 95.81 61.76 53.07 37.56 94.16 94.23 60.52 60.70 55.63 64.25 86.91 87.30 55.99 58.08 38.20 29.18
69 7159.50 -0.67 2.67 52.29 49.15 53.12 26.45 44.73 46.23 45.26 44.66 47.58 47.50 43.63 44.95 44.67 45.26 48.17 48.02 36.73 93.15 96.50 65.77 51.01 33.94 95.01 94.53 63.97 55.17 55.37 60.99 76.06 83.15 49.41 61.51 40.62 38.21
70 6977.00 1.17 0.54 50.86 47.65 55.47 34.43 43.78 46.06 45.73 43.42 48.25 47.12 43.16 45.16 44.59 45.18 48.14 47.76 51.34 94.01 92.30 77.28 57.45 42.11 90.73 94.72 77.24 64.45 57.54 61.44 77.35 88.22 54.12 59.35 40.89 34.27
71 5658.00 47.66 48.03 56.02 29.69 40.77 46.66 47.16 38.40 48.99 47.70 40.96 44.86 44.88 44.59 48.15 48.47 30.41 93.47 92.26 57.27 26.27 12.90 90.47 94.24 43.74 29.75 22.54 28.91 60.49 74.58 52.57 57.41 30.53 24.99
72 5678.00 -0.08 1.18 49.75 51.05 51.86 28.24 42.77 49.02 49.43 41.93 49.33 48.63 47.23 49.30 48.83 47.19 49.15 48.83 31.78 95.92 94.25 71.35 38.58 41.85 94.59 96.51 54.09 29.67 16.04 29.79 71.12 81.69 51.28 54.41 38.25 27.59
73 5053.00 -1.16 3.50 46.28 47.55 53.51 22.81 44.47 48.34 48.52 42.56 48.08 47.88 46.29 49.07 48.35 47.16 48.79 48.35 41.12 95.30 93.83 69.66 43.31 36.14 91.10 95.44 63.60 46.35 48.68 41.26 66.43 78.58 49.19 51.01 32.71 30.90
74 5572.50 -0.78 2.82 46.72 50.09 57.00 26.12 41.39 48.27 47.98 41.34 47.13 47.03 45.62 46.84 47.89 46.69 48.58 47.89 57.65 94.59 93.46 71.19 55.38 39.65 88.82 93.49 76.27 40.37 49.98 48.56 68.28 77.82 48.08 52.31 30.24 27.14
75 4447.00 0.32 2.63 89.06 141.62 45.20 47.57 52.49 23.50 43.07 45.97 47.12 42.00 45.94 45.29 46.04 48.40 47.98 46.30 48.59 47.98 13.97 94.34 91.31 52.72 36.88 19.13 89.64 94.85 51.14 30.59 26.34 20.35 69.91 77.46 52.64 63.43 35.61 34.41
76 3696.50 0.95 0.98 50.34 51.04 50.43 12.89 43.53 46.36 47.69 42.43 46.38 46.07 46.78 48.81 48.24 47.11 48.87 48.24 -0.65 92.85 89.62 38.11 1.25 -0.09 86.46 93.96 28.45 14.86 10.23 15.49 51.10 57.27 50.74 55.35 30.55 25.27
77 6255.00 -0.93 4.10 47.66 47.08 53.89 21.27 43.34 45.69 47.06 41.94 45.94 45.62 46.58 48.47 48.11 47.03 48.63 48.11 25.92 95.40 94.39 58.50 44.33 26.91 94.58 95.46 55.43 28.30 14.26 26.75 69.40 75.35 51.59 55.61 33.82 30.37
78 4680.50 -1.48 4.70 50.93 50.46 65.79 32.52 42.17 46.81 47.11 41.61 47.13 46.65 46.47 48.81 48.14 46.60 49.12 48.14 43.07 93.45 93.50 70.50 50.88 46.39 93.19 93.49 68.78 47.52 37.60 45.64 69.59 81.41 51.41 52.65 42.42 30.26
79 3994.00 0.00 4.54 43.42 44.10 46.23 12.04 42.48 46.40 46.48 43.23 46.81 46.23 43.76 46.36 46.01 43.56 45.04 46.01 17.85 93.65 92.47 44.54 5.34 24.12 87.77 95.79 36.17 10.96 12.60 7.41 36.79 55.48 53.98 53.01 28.93 25.44
80 4795.00 -1.88 6.13 47.61 45.79 51.23 29.01 44.10 46.75 47.09 43.37 47.27 46.80 46.70 48.63 48.01 46.82 48.76 48.01 61.99 93.40 91.01 75.32 66.98 49.58 90.50 93.86 77.10 64.25 64.72 62.98 72.11 80.35 51.48 54.88 41.97 29.29
81 5262.00 -1.54 4.01 51.61 49.71 54.96 22.56 44.81 49.44 49.67 43.20 48.42 49.13 46.47 48.53 48.49 45.54 48.64 48.49 14.56 93.74 92.75 62.25 36.22 25.10 89.88 95.68 50.06 27.48 36.77 31.25 66.54 76.47 50.76 56.69 33.49 27.70
82 4922.50 0.40 6.36 47.39 47.02 55.30 22.93 43.00 47.95 46.64 42.61 46.87 47.81 45.82 47.17 46.82 44.60 46.02 46.82 36.98 92.91 89.94 51.63 35.48 38.36 86.92 93.70 53.85 27.31 20.07 26.81 40.96 52.49 51.02 50.82 29.80 23.61
83 3960.50 47.48 43.61 57.09 24.97 44.52 48.32 47.93 42.43 46.80 47.86 46.39 48.09 47.57 46.70 47.88 48.57 51.98 92.59 92.46 72.20 57.41 44.26 90.94 92.61 72.95 47.95 55.01 57.74 61.91 76.88 49.81 58.07 34.06 30.37
84 4827.00 47.12 49.38 56.78 21.37 43.79 47.79 48.20 42.29 46.48 47.34 46.24 48.20 47.72 46.49 48.05 47.72 42.72 95.68 93.78 66.57 59.47 36.15 93.68 95.50 74.12 58.70 58.95 60.29 74.57 81.05 48.91 56.32 40.81 28.78
85 2621.50 -1.14 6.11 52.61 51.07 60.95 17.61 42.22 47.72 47.93 41.90 46.49 46.01 41.87 46.88 46.78 42.76 45.91 46.78 3.39 87.93 86.59 22.67 -7.01 3.50 79.77 88.88 -1.19 10.24 4.26 9.81 17.10 33.42 44.69 46.60 21.68 13.65
86 3990.00 -0.87 5.93 46.37 50.81 53.10 19.88 42.88 46.70 47.66 43.80 46.02 46.82 45.44 48.18 47.95 46.30 48.17 47.95 61.11 94.47 94.72 72.35 63.45 41.83 93.32 94.19 69.22 40.89 33.88 47.14 63.75 71.33 51.46 62.33 35.40 32.23
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