# Probability and Statistics-Practical Solution Sample

QUESTION

Predicted Response Probability If Mailed (p_response): If we send a mail to this customer, what is the probability she/he will come to our site and finish a loan application.

Predicted Approval Probability if Responded (p_response_to_approval): If this customer finished an application, what is the probability she/he will get approved by our credit policy.

Predicted Funding Probability if Approved (p_approval_to_funded): If this customer gets approved, what is the probability she/he will eventually funded with us.

Predicted Funded Loan Amount if Funded (exp_funded_amt): If this customer funds with us, how large the size the loan will be.

Predicted Revenue Rate if Funded (exp_revenue): If this customer funds with us, how much revenue will earn with respect to the loan amount.

These predictive models are built using the historic direct mail campaign data. Every month, we choose a final mailing list from the potential prospects with a goal to maximize the total profit of the campaign. We then print the mail pieces, send to their addresses on file and observe the results. The mailing cost is a variable cost that is the same to everyone (\$0.50 per mail piece).

Now it is the time to decide who we want to mail. You are given an attached excel table listing a sample of 1,000 potential prospects and a few attributes and predictions. With a goal to maximize the total profit of this month’s direct mail campaign, can you help us decide, out of these potential prospects, who we should mail?

(1)    Please create a new column in the table called Mailing Flag, “1” means you think we should mail to her/him, “0” means we should not mail. Briefly explain how you came to your recommendation.

(2)    What is the expected total profit of this campaign and the mailing population if we go with your recommendation. What is the ROI of the campaign? Briefly explain how you calculated your results.

(3)    For the population you are recommending to mail, segment into deciles, rank ordering by expected profit per name. How much total profit is driven by the bottom decile (bottom 10%)? What is the ROI of the bottom decile?

(4)    Briefly explain any factors which might cause you to challenge the objective function of profitability maximization.

(5)    Assume we decided to go with your recommendation, however the total profit is only 70% of what your expectation. How would you diagnose? What are your hypotheses, what kind of analysis would you do to test against them, and how would you adjust in the next campaign if your hypotheses are true?

(6)    This month, the marketing team wants to test a new mail piece design. Instead of emphasizing our competitive rates, we want to test advertising our easy to apply process as a way to try to increase the effectiveness of the direct mail campaign. How would you design this test?

DATA SET

 Prospect ID Age FICO # Mail sent in last 6 months p_response p_response_to_approval p_approval_to_funded exp_funded_amt exp_revenue 913 66 788 1 0.021653737 0.765377933 0.381308648 22718.64896 4.50% 461 28 751 2 0.01767304 0.804807692 0.351103761 8788.524131 5.40% 717 35 752 0 0.026228137 0.768373185 0.239915673 20475.46254 4.40% 973 68 764 0 0.017701015 0.714082758 0.372263071 13466.42394 4.00% 802 39 739 0 0.021102984 0.788014006 0.278906066 15191.62612 7.00% 275 53 767 2 0.014268131 0.876400944 0.320344134 20710.81509 4.70% 420 45 786 0 0.016311292 0.896053423 0.268110122 9147.6039 4.00% 952 60 788 1 0.016806027 0.700636648 0.330770767 9323.363168 6.40% 500 35 746 1 0.019693656 0.661698864 0.295482369 16424.15538 5.30% 429 51 798 2 0.013403637 0.851815767 0.332342486 16709.05202 4.20% 800 70 800 1 0.015623582 0.857170339 0.28272252 13483.26737 5.00% 983 22 795 2 0.018657216 0.712444981 0.283190649 10457.17177 2.70% 223 46 786 2 0.018811301 0.67320183 0.2958527 20933.26197 5.20% 928 64 787 1 0.017753469 0.726259489 0.288029451 14440.91675 4.40% 675 62 788 0 0.022158059 0.622722105 0.267744318 14951.09605 6.20% 179 29 789 0 0.015032382 0.770398152 0.316187825 9066.156288 5.90% 210 59 790 2 0.013838327 0.854768492 0.304667208 29136.5028 4.60% 187 51 791 2 0.019197115 0.753717473 0.245526321 10767.2265 6.30% 313 53 792 2 0.018472115 0.637425332 0.300915143 7827.611125 5.30% 519 27 793 1 0.015391842 0.868655349 0.263787638 23590.10847 5.30% 684 56 794 1 0.020961555 0.607394981 0.27622585 867.6450049 6.00% 597 28 795 1 0.016075172 0.703209373 0.310548087 21646.72908 4.80% 149 38 796 0 0.015039598 0.782163877 0.297752322 22381.13412 4.70% 81 67 797 1 0.018232569 0.618051484 0.308282478 14339.28156 5.90% 1 48 798 1 0.019481903 0.606813192 0.291179456 6270.998069 4.30% 123 69 799 1 0.012895202 0.754610507 0.348348517 16075.00432 4.30% 786 21 800 2 0.01768068 0.734040164 0.25628777 7424.971667 4.90% 897 53 801 0 0.017522502 0.636420106 0.294216837 10273.09051 5.20% 855 39 802 0 0.0191584 0.627054607 0.273072916 8712.904275 3.60% 283 21 803 2 0.021654241 0.761136422 0.198471144 11527.16398 5.10% 550 43 804 0 0.017645596 0.562132825 0.329457564 22987.45245 5.10% 693 42 805 0 0.01377483 0.847370887 0.27928888 18074.73335 6.70% 176 53 806 2 0.014596063 0.692048206 0.319034045 20695.42993 5.40% 857 47 807 2 0.016750692 0.663316125 0.288921756 20275.95339 4.70% 728 24 808 2 0.0181289 0.69989749 0.251526642 17286.95368 2.80% 475 31 809 1 0.017531139 0.788138538 0.230130275 16054.58697 5.50% 131 36 810 1 0.019223332 0.652031534 0.252444492 20392.14044 5.20% 753 30 811 1 0.018098351 0.794053598 0.218296508 20741.59457 5.20% 479 46 812 1 0.018523753 0.545121578 0.310635965 15000.12883 3.30% 848 44 813 1 0.015322337 0.775921257 0.260878239 20509.38938 3.90% 425 53 814 1 0.016738056 0.541222107 0.339004294 17740.65576 5.40% 293 68 815 2 0.018314551 0.663202853 0.251527037 17159.19268 4.60% 838 44 816 0 0.011335826 0.685112141 0.389403925 16764.77441 5.80% 36 28 817 0 0.018412543 0.601387899 0.271433931 14021.37606 6.90% 188 37 818 2 0.015916487 0.806368409 0.234144968 13596.78234 5.00% 923 33 819 1 0.014334563 0.68798932 0.302791753 15942.89022 4.60% 46 50 820 2 0.012955775 0.839133686 0.273765068 15303.19841 4.70% 673 28 821 2 0.015862467 0.828428502 0.225731085 15391.83487 5.90% 177 43 822 0 0.014569749 0.752520045 0.270298416 27653.19321 3.10% 647 36 823 2 0.016425793 0.775389023 0.228424963 15392.59436 5.10% 831 37 824 2 0.015427918 0.576090886 0.323048945 17292.69448 5.70% 613 56 825 1 0.017019078 0.672514022 0.249684944 20475.16821 5.50% 494 51 826 0 0.010244125 0.82318137 0.337682556 8012.716027 4.50% 690 59 827 2 0.014920571 0.710786623 0.26841401 20628.07398 4.30% 268 70 828 2 0.018395926 0.513099509 0.298882876 16298.84125 4.60% 805 34 829 0 0.009941643 0.811262647 0.34909532 19421.89518 4.90% 204 56 830 0 0.017331223 0.619094144 0.259773395 11444.40803 5.80% 526 43 831 0 0.017254385 0.590845239 0.272981912 18480.75868 5.00% 596 57 832 1 0.015211815 0.518957486 0.352143379 19197.6732 4.60% 957 46 833 0 0.013076344 0.868306122 0.244184608 11477.6109 4.50% 990 21 834 1 0.015888764 0.658840717 0.262151324 6834.14966 5.80% 887 34 835 0 0.018160797 0.681418361 0.221664725 17917.45959 6.10% 273 46 836 2 0.019394234 0.699783508 0.20168047 18470.88289 4.40% 971 30 837 1 0.01251915 0.760937029 0.287301416 11017.56581 5.80% 616 44 838 1 0.016492626 0.547521782 0.303042433 13061.5117 6.70% 614 66 839 1 0.018751104 0.707170922 0.206212473 20333.44784 6.10% 87 57 840 0 0.012692723 0.877793627 0.244971064 11576.47453 5.20% 354 44 841 2 0.01463688 0.695709549 0.2667018 17568.15 5.30% 977 23 842 2 0.023641396 0.400403284 0.285370699 21966.0202 4.80% 966 51 843 1 0.011261896 0.803822511 0.295910207 16223.07524 5.60% 274 50 844 0 0.011706447 0.836969356 0.272680745 13418.8592 5.80% 787 42 845 0 0.014576807 0.707997743 0.258371147 18097.83497 6.90% 867 68 846 0 0.015989859 0.771012141 0.216239116 3637.968194 5.60% 841 70 847 0 0.015543092 0.824807445 0.207809619 14507.58032 4.90% 447 21 848 2 0.011984517 0.738644206 0.299298635 10109.89232 3.60% 335 59 849 1 0.0133834 0.730304755 0.267709497 11615.96263 4.80% 962 27 850 2 0.01033945 0.745039694 0.338746511 21378.83271 4.60% 371 63 851 0 0.015976118 0.684443527 0.236824894 10109.84683 4.70% 992 39 852 1 0.013125848 0.804831725 0.244925548 16843.41443 4.40% 615 52 853 2 0.016219745 0.691375185 0.229300645 14341.97626 5.20% 424 24 854 2 0.017773043 0.673052328 0.212785145 11275.58638 4.30% 902 24 855 1 0.016096365 0.596599596 0.264626989 17372.90223 5.50% 304 66 856 2 0.010241975 0.767923648 0.321758654 14806.68332 5.80% 527 35 857 2 0.016714738 0.605212768 0.250064325 16574.95952 4.30% 605 25 858 1 0.01522853 0.60393805 0.274944582 18835.47503 5.00% 151 27 859 0 0.012528917 0.747597438 0.269536865 17021.01537 5.00% 47 59 860 2 0.015274792 0.775373344 0.212897355 18894.20621 6.60% 924 43 861 0 0.015360499 0.523036961 0.312584342 16303.95817 4.40% 295 42 862 0 0.011171148 0.719048622 0.312312664 14353.25752 6.10% 454 50 863 2 0.017553707 0.736832728 0.193877358 18078.79125 4.60% 111 46 864 0 0.014011564 0.764473378 0.232608617 16430.60838 5.60% 623 27 865 0 0.013964929 0.755232412 0.23575279 5948.339783 5.10% 737 48 866 0 0.012311424 0.768074556 0.262856606 22946.48231 4.50% 83 26 867 0 0.024991197 0.382381484 0.259364899 14400.19259 3.60% 649 62 868 1 0.011970331 0.7260313 0.282264553 18892.86656 4.60% 528 23 869 0 0.014916255 0.687128827 0.239003333 16027.93119 4.10% 31 21 870 2 0.017268201 0.693576235 0.204511397 16931.2395 4.70% 416 42 871 2 0.011224269 0.739993049 0.294820105 19050.77183 5.10% 199 63 872 1 0.011547482 0.693711071 0.302957297 7168.516086 4.40% 511 49 873 1 0.01309834 0.604783036 0.305243275 14681.56304 5.00% 39 54 874 1 0.021483806 0.351719878 0.317888742 11012.82704 6.00% 639 57 875 0 0.016657062 0.546987953 0.263356464 8912.622879 5.20% 764 28 876 2 0.013321999 0.574147777 0.312455012 17434.2855 7.60% 417 25 877 0 0.01067144 0.721933126 0.309428684 18834.09206 5.40% 903 59 878 0 0.017046478 0.511096667 0.272578715 16806.37585 4.40% 388 54 879 1 0.015483149 0.457331039 0.335065053 18805.6661 4.40% 72 38 880 0 0.013018825 0.849427661 0.21401313 17305.30547 6.00% 29 55 881 0 0.014889464 0.779011998 0.203644863 10232.88715 5.40% 174 42 882 2 0.016577609 0.686065057 0.207217536 16687.87948 5.40% 443 35 883 1 0.010191493 0.731536383 0.315370141 22292.25896 5.50% 925 21 884 1 0.010923081 0.640523912 0.335571479 16335.34121 4.80% 778 52 885 1 0.017456878 0.644217993 0.207606676 10642.41346 4.50% 694 65 886 2 0.017052123 0.434656939 0.314931055 18259.16699 5.00% 401 25 887 2 0.011517303 0.649549231 0.311443261 18803.88359 5.60% 622 48 888 2 0.009714587 0.699235563 0.342127542 15391.66639 4.70% 907 64 889 1 0.019322389 0.580791083 0.206809065 15113.07458 4.10% 835 67 890 2 0.015459693 0.568445791 0.263729744 20544.48483 3.90% 562 44 891 0 0.016379546 0.49369869 0.283556279 5236.770664 5.10% 167 30 892 1 0.012207172 0.828872161 0.225870968 9421.83288 4.10% 282 69 893 0 0.023409429 0.387006986 0.252178242 9607.002632 4.10% 235 23 894 2 0.018595255 0.452395142 0.271339221 3015.220527 3.30% 171 32 895 2 0.010998029 0.699532119 0.296323869 10736.52236 4.00% 803 58 896 0 0.011468481 0.819673977 0.241003151 13809.37329 5.00% 530 47 897 0 0.015413754 0.530447695 0.276488015 14602.37968 4.70% 114 54 898 1 0.011236488 0.796224512 0.250688017 20700.22058 6.00% 148 44 899 0 0.012396004 0.700105272 0.256590864 16683.54675 5.50% 821 48 900 1 0.011460444 0.789777377 0.245533189 9751.361043 5.10% 843 46 901 1 0.016189619 0.575433009 0.238184597 14783.15579 5.10% 588 39 902 2 0.011249574 0.716023564 0.27540663 19668.20586 3.80% 767 54 903 1 0.017868448 0.605246274 0.203201979 18698.57994 4.90% 377 50 904 0 0.013049869 0.633520611 0.2651993 16706.5365 3.40% 362 59 905 1 0.010955211 0.799478367 0.250064539 12760.31313 7.00% 711 24 906 2 0.015350406 0.542078553 0.263202278 11665.37901 5.80% 926 48 907 0 0.016358244 0.491141485 0.271194428 14965.41153 4.70% 732 63 908 2 0.012060325 0.681947112 0.264254838 16186.33687 4.30% 868 30 909 2 0.016365038 0.500204561 0.265215737 19739.63451 6.80% 285 32 910 0 0.011034969 0.736825872 0.266925087 13281.97092 3.80% 80 42 911 1 0.020030978 0.352741938 0.306823798 16245.85978 4.90% 55 36 912 2 0.010511751 0.740443007 0.278226256 14400.29294 6.40% 364 53 913 1 0.016262 0.68302063 0.194305121 16808.22161 4.90% 70 69 914 0 0.013293349 0.615028084 0.261215916 17364.5342 4.60% 54 37 915 0 0.017075414 0.445664946 0.279791522 11538.91621 6.30% 561 53 916 1 0.009909685 0.796615242 0.268170027 15773.60454 4.70% 779 55 917 0 0.013303368 0.682340283 0.232235021 13323.08563 4.70% 631 66 918 2 0.017164291 0.515811609 0.23790686 10317.44295 5.50% 343 38 919 1 0.009604225 0.69416214 0.314950228 16342.31416 5.60% 446 50 920 2 0.011737331 0.642036593 0.278374386 15442.35779 4.60% 19 56 921 1 0.013379606 0.525477308 0.298319423 8526.466605 4.40% 785 41 922 2 0.013230495 0.533691154 0.296702907 15915.92135 5.60% 64 59 923 1 0.014443067 0.487082165 0.297110414 3777.404064 2.80% 207 43 924 0 0.009726586 0.772692696 0.275986695 19851.35026 6.30% 619 37 925 0 0.009234231 0.767421013 0.291979249 21251.6304 5.60% 106 50 926 2 0.009769962 0.705264508 0.300133468 7250.092416 4.30% 632 59 927 1 0.016306023 0.656196859 0.193048816 14111.68794 5.30% 726 36 928 2 0.016377378 0.523559548 0.240843521 16393.80751 5.80% 729 40 929 1 0.020558293 0.333150601 0.300542813 13157.76547 5.20% 743 52 930 0 0.012333604 0.739389231 0.225610633 7350.619774 4.80% 557 38 931 1 0.010137146 0.626864856 0.32294994 25048.16851 3.80% 510 48 932 1 0.014518204 0.485410334 0.290474395 19075.80973 5.10% 98 25 933 2 0.01046453 0.762496947 0.256284297 16084.79679 6.80% 341 26 934 1 0.007895543 0.782163571 0.330919901 20697.45583 5.50% 314 50 935 2 0.014964064 0.584552082 0.233620388 23065.72711 4.40% 2 45 936 1 0.019335281 0.295491081 0.357246213 24152.34372 3.60% 252 42 937 2 0.008488134 0.756004094 0.316458344 14625.98774 4.20% 670 26 938 0 0.01677759 0.537139219 0.224712034 15233.46115 3.30% 50 41 939 2 0.014926146 0.777283107 0.174480255 25722.24769 5.50% 521 45 940 0 0.020214126 0.368834647 0.269814369 8460.980711 4.90% 671 51 941 0 0.010438993 0.739461467 0.258793583 7948.003026 4.40% 776 31 942 2 0.020262273 0.418685959 0.235086451 17035.35791 4.60% 551 49 943 1 0.0152944 0.389953892 0.334345547 16101.95379 3.90% 599 23 944 1 0.010620202 0.758024794 0.246812631 14152.34714 3.50% 135 32 945 1 0.013999309 0.492414847 0.287827797 17155.39374 6.90% 676 48 946 1 0.011245093 0.702718583 0.250874622 19825.38988 4.00% 513 50 947 0 0.009357891 0.945137154 0.224131184 20905.32156 4.20% 970 53 948 2 0.016225501 0.664662518 0.183441814 17172.16532 4.50% 587 42 949 2 0.02029752 0.454545103 0.214024431 21813.50321 5.20% 289 48 950 0 0.017461158 0.33930571 0.333217728 24181.62854 4.70% 892 42 951 0 0.014705043 0.536281625 0.250059469 17697.7332 4.50% 980 23 952 2 0.014445054 0.584578546 0.233436433 14758.61762 5.70% 196 48 953 1 0.017318551 0.491382727 0.23086359 13584.36177 4.80% 44 68 954 2 0.011371406 0.765790125 0.225341698 20112.60063 4.70% 773 60 955 0 0.013505075 0.659365548 0.219336762 22812.42137 5.30% 158 47 956 2 0.009755522 0.766250841 0.260979765 8040.097375 4.20% 901 27 957 1 0.01751409 0.452806464 0.245968105 20465.95574 5.10% 544 43 958 2 0.015807833 0.416927184 0.29572791 18840.56868 4.90% 248 69 959 0 0.014589647 0.488892955 0.273206193 12229.08227 5.20% 126 50 960 2 0.014626933 0.527307162 0.252426599 18072.18841 5.30% 201 34 961 0 0.018272772 0.615544152 0.172783407 13659.30118 6.40% 421 26 962 0 0.008415395 0.768596304 0.299328037 17594.8407 4.20% 290 49 963 0 0.015504544 0.540727003 0.229651523 18953.51852 5.20% 981 65 964 0 0.011248839 0.61154427 0.279491407 16503.28854 4.30% 376 29 965 2 0.016424173 0.528188452 0.220606422 19479.30863 5.90% 580 56 966 0 0.010391076 0.637352304 0.288638066 18330.12074 3.20% 215 38 967 0 0.011491074 0.726510318 0.228474536 11078.38703 6.50% 35 35 968 2 0.010764839 0.631905502 0.279849799 19422.72677 4.50% 713 50 969 2 0.013488201 0.520616057 0.270905925 16016.92316 5.20% 339 33 970 0 0.010789665 0.760826542 0.230737487 7133.755128 4.40% 752 64 971 0 0.01446207 0.490230998 0.266784821 13989.28597 4.60% 234 55 972 2 0.010960519 0.589443075 0.29216348 20505.85203 5.00% 27 57 973 0 0.01683647 0.488757378 0.228641783 22903.98648 5.30% 896 46 974 0 0.012191533 0.682418615 0.22563678 14534.05084 5.10% 997 30 975 2 0.012696066 0.658008492 0.224496395 15331.59545 2.80% 327 41 976 1 0.019331105 0.397109403 0.24425498 9024.257686 7.80% 948 28 977 2 0.017010473 0.453348488 0.242892853 12875.1287 3.50% 750 22 978 2 0.016392126 0.468191864 0.244029366 12387.36053 5.70% 889 31 979 2 0.010896916 0.602953276 0.285008317 14563.04697 4.00% 17 39 980 1 0.015231136 0.41346308 0.297247522 11773.20918 3.50% 518 60 981 0 0.010813552 0.663199279 0.260655178 13288.38504 5.50% 437 47 982 2 0.011829373 0.493176844 0.319175703 22831.06292 5.40% 801 23 983 2 0.010977842 0.56538411 0.297795978 13085.45873 4.90% 410 37 984 1 0.014022978 0.463566679 0.283472784 9470.142814 5.10% 231 27 985 1 0.008573393 0.831126258 0.257707917 7489.873948 3.00% 697 61 986 0 0.016270491 0.54312351 0.207001575 12304.26591 6.10% 319 36 987 0 0.012150473 0.493606362 0.304324597 16916.92655 5.00% 745 56 988 0 0.018194293 0.378101209 0.26457761 19759.18806 3.60% 216 40 989 1 0.01301938 0.700438401 0.199085659 2736.924781 5.30% 634 37 990 2 0.011490502 0.54304767 0.290645044 17380.45872 5.90% 601 25 991 2 0.008968389 0.559977508 0.360101804 22778.6728 5.20% 575 45 992 0 0.015714226 0.70368476 0.163503421 8289.254896 5.70% 317 23 993 0 0.012740195 0.509632895 0.278258646 16390.8445 5.20% 348 45 994 2 0.011266636 0.570374026 0.28108348 16953.19304 5.70% 567 56 995 1 0.011093288 0.569768215 0.285255041 16561.41687 6.20% 540 37 996 1 0.010355645 0.720804513 0.241292438 22023.95326 5.60% 431 34 997 2 0.014258763 0.401085705 0.314886063 18645.79981 4.60% 535 27 998 2 0.008704719 0.768408347 0.268997292 7889.776597 5.50% 226 27 999 2 0.011891389 0.459738093 0.326958811 14091.81275 3.80% 206 31 1000 1 0.013161653 0.630513936 0.215058692 13175.34119 4.10% 460 41 1001 1 0.00748428 0.765241352 0.311249202 14153.66117 4.10% 880 34 1002 1 0.008583845 0.707346543 0.292818999 19675.66212 5.40% 247 36 1003 1 0.00987529 0.612136445 0.294064811 11760.3875 5.60% 229 63 1004 2 0.015006117 0.403444392 0.293403485 20348.17017 4.80% 877 25 1005 0 0.008170805 0.648646489 0.334366116 22742.91929 5.30% 689 48 1006 1 0.012042051 0.392726473 0.374079026 6621.80182 6.30% 330 49 1007 0 0.017249289 0.524747322 0.195396159 13932.67584 5.30% 817 67 1008 1 0.009860762 0.579941072 0.308328037 16235.64709 4.30% 492 33 1009 1 0.014159584 0.490474328 0.253387919 20751.52509 6.20% 849 45 1010 2 0.01275094 0.5584126 0.247036696 19433.17348 4.20% 161 25 1011 2 0.010619332 0.786978069 0.209465418 26400.00272 5.50% 738 23 1012 1 0.010068736 0.514002057 0.338152496 22870.98424 5.90% 629 70 1013 0 0.01682741 0.353420642 0.292904726 19211.45284 4.50% 771 31 1014 0 0.010125398 0.544352515 0.31504986 10117.10387 5.60% 895 69 1015 2 0.012563115 0.559747677 0.246531124 14903.52894 4.60% 396 22 1016 0 0.014302785 0.604474851 0.200519837 20027.62758 3.70% 799 68 1017 0 0.009387594 0.624351738 0.294945327 13731.25629 6.00% 346 28 1018 1 0.009908485 0.581958567 0.298913219 13341.54037 7.90% 546 40 1019 1 0.013704149 0.526243418 0.238245353 21552.32004 4.90% 390 31 1020 2 0.011055483 0.499043716 0.310093487 19397.88525 3.70% 8 57 1021 2 0.014168346 0.55946691 0.215410796 13145.19398 5.90% 185 45 1022 0 0.009858859 0.650773134 0.265310106 11955.09489 6.10% 993 25 1023 0 0.00856948 0.718760246 0.27588486 16837.37914 5.30% 667 43 1024 0 0.01200509 0.602587183 0.234505845 15669.05079 3.80% 414 35 1025 2 0.016330686 0.572585943 0.180788169 15586.83386 6.00% 25 67 1026 1 0.015583261 0.483041605 0.223726907 15495.74947 5.10% 636 53 1027 0 0.010544522 0.634654195 0.251136391 13546.88986 4.00% 730 35 1028 0 0.016571794 0.566351934 0.178731966 11703.45304 4.80% 911 55 1029 0 0.013218463 0.503406885 0.251241416 21165.689 4.00% 150 58 1030 2 0.01433128 0.705324821 0.165340727 13024.85724 4.20% 96 23 1031 0 0.009754115 0.492279611 0.347251203 12896.06914 5.50% 807 49 1032 1 0.008169105 0.787887876 0.25873733 16272.48674 4.30% 696 40 1033 2 0.007213858 0.903725144 0.25432362 21351.24536 4.90% 719 34 1034 2 0.016933172 0.309294703 0.315132058 21660.96428 4.90% 677 63 1035 0 0.00738977 0.768806992 0.29044384 23069.43147 3.10% 227 40 1036 2 0.019358891 0.431786382 0.197029238 6487.030589 5.50% 426 29 1037 2 0.010351371 0.712278675 0.22300103 16492.7922 6.20% 495 47 1038 1 0.009726154 0.733183926 0.230479065 10608.45443 5.30% 411 62 1039 0 0.008230805 0.68633915 0.290315294 12453.43962 3.80% 7 51 1040 1 0.013122048 0.569783304 0.219200072 12337.50216 8.50% 262 31 1041 0 0.009446186 0.697361902 0.248401662 19007.89169 5.80% 133 40 1042 1 0.014231525 0.453281134 0.25340087 11991.02955 3.90% 367 43 1043 0 0.015193908 0.572697698 0.187720696 14091.03315 3.50% 119 31 1044 1 0.011230061 0.808976449 0.178865235 9164.265073 4.70% 651 43 1045 0 0.008020541 0.688859625 0.294053173 13620.09248 5.30% 159 52 1046 1 0.008722218 0.80313531 0.230237643 11471.7715 6.00% 627 38 1047 0 0.012703596 0.499657992 0.253609545 18832.25842 3.80% 205 37 1048 0 0.015605613 0.6630497 0.155106576 19384.77737 5.30% 602 41 1049 1 0.014530053 0.436430121 0.252697901 10993.25598 4.00% 548 30 1050 2 0.011622434 0.483671747 0.284582024 21595.29357 3.80% 674 50 1051 1 0.012368504 0.583252469 0.22171999 14054.57695 5.00% 493 47 1052 1 0.006573979 0.668520902 0.36308669 13834.26794 7.50% 331 53 1053 0 0.015379555 0.332244687 0.311499561 9572.0993 3.40% 935 35 1054 2 0.015209744 0.270612705 0.385819984 14458.08365 5.40% 270 49 1055 1 0.007910153 0.803803015 0.249688261 18074.72305 5.40% 169 60 1056 0 0.014155756 0.458263705 0.24463341 23386.17683 4.70% 861 48 1057 2 0.013025471 0.532563931 0.228359805 21031.96959 4.10% 731 57 1058 2 0.008607499 0.584472193 0.314312524 12054.07428 3.60% 910 47 1059 2 0.011651803 0.454491303 0.295728954 19368.04503 4.50% 269 44 1060 2 0.00905212 0.566996522 0.304943229 9567.521554 4.00% 11 43 1061 0 0.008240464 0.668099927 0.284052672 9766.797667 4.50% 998 63 1062 2 0.008903015 0.637108649 0.27474039 11541.15081 3.80% 932 69 1063 0 0.00855931 0.617816712 0.294258981 9658.273903 3.50% 859 60 1064 0 0.011736366 0.690711312 0.191500299 28590.72085 4.90% 625 24 1065 2 0.008764813 0.576393221 0.306079237 10687.93724 6.00% 264 34 1066 1 0.011211863 0.524718477 0.262091139 13111.8584 3.30% 618 26 1067 1 0.009765267 0.479441731 0.327981624 10323.10424 5.40% 739 63 1068 1 0.006260325 0.572593798 0.428159914 10463.52806 6.60% 947 53 1069 1 0.008313719 0.682566708 0.270457347 13744.00969 4.60% 842 59 1070 2 0.013048026 0.670784568 0.175319964 14091.61622 5.90% 209 35 1071 2 0.010133296 0.77263016 0.195832303 21921.56158 5.90% 456 25 1072 2 0.006286361 0.785815522 0.310309452 13867.23645 3.30% 124 43 1073 2 0.010670545 0.659721392 0.217714102 16133.52542 4.90% 144 48 1074 2 0.009785623 0.548223265 0.285264626 18938.01219 3.10% 195 48 1075 0 0.016617269 0.279709659 0.328984656 8651.59503 5.30% 100 56 1076 2 0.009952588 0.509115866 0.300794259 9244.895777 3.20% 678 69 1077 2 0.011969215 0.45736634 0.277916871 11898.88791 4.70% 509 33 1078 1 0.011173599 0.499465843 0.272558151 9221.02389 4.70% 532 25 1079 1 0.013614315 0.4478087 0.248784231 17444.01619 6.30% 508 60 1080 2 0.00986833 0.721973789 0.212197611 17579.73647 5.80% 680 47 1081 0 0.014036456 0.617783598 0.173895288 12294.92919 5.60% 469 55 1082 2 0.008201283 0.583511973 0.314945593 16392.7962 6.50% 180 29 1083 0 0.00965681 0.593313194 0.262656063 9004.586252 5.30% 502 52 1084 2 0.011886013 0.39086334 0.323584319 15194.64282 5.70% 751 44 1085 1 0.007494119 0.687949993 0.291094899 20242.97079 4.40% 768 52 1086 0 0.00749994 0.784356441 0.255058029 20358.15254 7.70% 60 60 1087 1 0.014264387 0.468821468 0.224343482 15002.61156 4.30% 940 40 1088 2 0.008041303 0.732426334 0.254252028 23482.57627 4.10% 687 52 1089 2 0.008698454 0.687106727 0.250192359 13059.46415 4.10% 914 60 1090 2 0.006053394 0.697089378 0.354342424 15006.52449 5.10% 333 69 1091 0 0.010300616 0.682516008 0.21267269 17592.5264 5.60% 287 35 1092 0 0.018807827 0.226508646 0.350026301 14582.32969 5.70% 504 51 1093 1 0.018054805 0.289714929 0.284996331 23629.67625 5.50% 578 34 1094 2 0.009686097 0.573076091 0.26833178 13079.47721 6.60% 440 61 1095 0 0.016290067 0.30710677 0.297280797 11403.73763 5.00% 834 55 1096 0 0.018721183 0.280777414 0.28212143 7056.108451 3.30% 409 35 1097 2 0.010427131 0.649185768 0.218411088 21511.25441 6.10% 930 36 1098 1 0.01574974 0.463336395 0.202498104 16188.36694 6.20% 563 66 1099 0 0.011656149 0.924250347 0.136803337 11177.26263 4.90% 630 30 1100 1 0.008398227 0.664613107 0.262909315 25385.31918 6.10% 994 63 1101 0 0.010084615 0.752841606 0.193020442 23271.99463 4.40% 197 67 1102 0 0.014214764 0.441172379 0.232769806 19329.32621 4.30% 969 37 1103 2 0.006587213 0.725243067 0.304455984 9799.102219 5.00% 49 62 1104 1 0.011572903 0.43214067 0.290730319 11603.24027 5.40% 334 59 1105 2 0.013781662 0.404626105 0.260531849 14389.34829 6.60% 991 34 1106 1 0.012337097 0.544696807 0.215804462 25036.89534 5.10% 266 50 1107 2 0.006642103 0.717389755 0.304080929 13874.36616 5.10% 73 64 1108 0 0.011148732 0.438196644 0.294763207 13765.12722 6.20% 967 51 1109 1 0.011991799 0.710799293 0.168658984 2469.57829 6.00% 61 26 1110 1 0.010821271 0.597074829 0.222097404 9375.87078 4.70% 104 49 1111 0 0.011990019 0.451170666 0.264980306 15916.46615 3.80% 633 56 1112 0 0.005664258 0.874424746 0.288904694 10302.79664 4.00% 489 55 1113 1 0.007843825 0.835355464 0.218270991 17803.34348 5.70% 734 66 1114 2 0.007791148 0.596966705 0.30740815 16744.14914 6.50% 824 33 1115 2 0.014338764 0.606906247 0.164262234 9996.698286 5.70% 959 26 1116 1 0.009812173 0.632041324 0.229718951 17198.95969 6.50% 523 45 1117 1 0.010994336 0.431091749 0.300367534 14991.02625 5.20% 486 30 1118 2 0.00819005 0.640900216 0.271043167 8555.482543 4.90% 263 43 1119 2 0.010937074 0.584642177 0.221912101 12354.17441 4.30% 220 65 1120 1 0.013803848 0.575172657 0.178127001 22766.26416 6.40% 955 35 1121 0 0.017477935 0.261357662 0.309582742 14285.26778 4.70% 299 69 1122 1 0.009445221 0.633632183 0.236244144 11045.81083 5.50% 891 27 1123 1 0.01436983 0.454781443 0.215926557 18110.56692 6.20% 922 34 1124 1 0.012824581 0.471834918 0.233103548 12969.66721 5.20% 358 46 1125 0 0.012328308 0.503854659 0.226963053 14848.79353 4.70% 725 24 1126 2 0.008557775 0.635889133 0.258136418 17816.68806 5.60% 113 21 1127 2 0.012721809 0.398195441 0.276894903 16301.35759 6.70% 84 50 1128 0 0.006864308 0.823342991 0.247923522 17855.2729 4.50% 296 54 1129 1 0.009306848 0.523934223 0.28721587 15759.57383 3.60% 840 51 1130 2 0.007284853 0.806919411 0.23752263 9527.498996 5.50% 645 44 1131 1 0.016946093 0.344318726 0.239274258 12428.05595 5.70% 600 56 1132 2 0.012854729 0.332552645 0.325906164 14619.12978 3.70% 869 55 1133 2 0.019775852 0.389862996 0.180685905 11246.19723 4.20% 934 25 1134 2 0.006762544 0.656212549 0.313760189 3881.949349 5.30% 545 42 1135 0 0.010860453 0.486787339 0.263178391 17232.10219 5.40% 795 29 1136 0 0.012382105 0.727189957 0.154178369 13315.98569 5.00% 609 24 1137 1 0.013357635 0.493866242 0.210218702 6478.318231 7.80% 893 25 1138 1 0.014637948 0.283314507 0.332344245 17794.90571 4.70% 261 65 1139 0 0.011405763 0.441369296 0.273356919 14046.27312 7.50% 628 35 1140 0 0.011515971 0.476781316 0.250314355 14890.71101 4.70% 727 27 1141 0 0.013852048 0.33015506 0.299183253 15984.62681 4.80% 57 34 1142 0 0.008920044 0.667090461 0.229601721 13927.17136 4.10% 953 32 1143 2 0.01277233 0.428297335 0.249096161 22943.32963 5.40% 470 61 1144 0 0.007401895 0.741435539 0.247751308 15152.93485 5.30% 720 54 1145 2 0.0099712 0.592634868 0.229728182 15920.90304 5.70% 757 64 1146 2 0.007087418 0.756913316 0.252695604 6666.922751 3.90% 192 62 1147 2 0.009045182 0.598477269 0.250099832 20611.33776 4.60% 37 59 1148 1 0.008379823 0.590949665 0.271878874 16156.34613 3.10% 258 60 1149 0 0.011520431 0.441113059 0.264846482 24938.69552 4.20% 657 23 1150 1 0.01197077 0.439311207 0.254157746 17242.14622 5.10% 522 53 1151 1 0.007795423 0.758860715 0.225769164 4031.350655 4.90% 943 29 1152 1 0.010968126 0.554227545 0.219588804 14556.10985 5.60% 742 23 1153 0 0.015841125 0.302901257 0.27809322 13449.11148 4.90% 140 35 1154 0 0.01642621 0.397393742 0.204348367 19208.86102 3.40% 32 46 1155 2 0.012371119 0.646308536 0.16661111 13945.56166 3.30% 6 56 1156 2 0.011898965 0.529845139 0.21087809 16197.13687 6.20% 663 31 1157 2 0.007367186 0.798496416 0.225251745 21614.42997 6.00% 62 64 1158 1 0.007999888 0.603959443 0.273659335 15294.19612 5.10% 1000 63 1159 1 0.007757371 0.614150326 0.277298893 10606.16136 5.40% 583 47 1160 0 0.009085777 0.591253619 0.245782231 15791.3029 8.20% 512 40 1161 0 0.014563928 0.352044829 0.25684242 18777.6979 5.00% 181 59 1162 2 0.006808821 0.693820446 0.277422323 19878.23362 4.80% 766 42 1163 2 0.010437308 0.547909841 0.229053561 18794.36369 6.70% 340 39 1164 0 0.021977015 0.437686507 0.136024659 17094.89056 5.50% 384 46 1165 0 0.014377656 0.40301614 0.225622218 13749.48202 3.40% 356 69 1166 2 0.007580171 0.795316401 0.216856625 10068.72384 5.50% 712 34 1167 0 0.008830056 0.433190969 0.341289775 14315.14388 2.70% 638 40 1168 1 0.014008521 0.341993252 0.272107379 7526.074293 5.30% 564 66 1169 1 0.009646433 0.462557439 0.290791457 21307.56517 5.10% 702 66 1170 1 0.010332611 0.487560768 0.256774923 16448.82375 5.60% 699 62 1171 1 0.003982343 0.836275952 0.388023682 14960.01075 3.20% 772 53 1172 1 0.010576539 0.667386654 0.182778137 20997.63484 4.90% 221 41 1173 0 0.010093431 0.414147228 0.308031563 8602.357046 3.10% 482 28 1174 1 0.013883837 0.2959642 0.312993088 14023.67433 4.10% 355 43 1175 1 0.018869935 0.234597411 0.290409928 14999.3376 6.40% 128 53 1176 1 0.009682115 0.630397659 0.209396786 15055.71958 5.60% 756 39 1177 0 0.005444183 0.77583946 0.301529816 8052.13639 5.70% 794 32 1178 1 0.008001104 0.568478994 0.277750089 16345.38229 5.40% 876 34 1179 0 0.013230235 0.368695641 0.258180544 16502.45272 5.10% 105 45 1180 0 0.009313948 0.513036881 0.263208651 17850.15103 6.00% 184 45 1181 0 0.005635887 0.703168498 0.317180302 20818.67566 4.50% 999 30 1182 0 0.020214061 0.285582437 0.21758849 15518.17101 4.80% 320 57 1183 2 0.008964636 0.587090587 0.237669715 17592.82014 4.60% 672 25 1184 0 0.010462141 0.734943988 0.162262229 6193.174398 4.40% 405 23 1185 1 0.006719817 0.60837635 0.303549128 26205.48574 4.10% 573 58 1186 2 0.010808542 0.42558404 0.2695923 10211.53753 4.10% 665 53 1187 1 0.009301377 0.45089345 0.295434047 15493.69736 5.10% 33 64 1188 2 0.010067822 0.651915006 0.188485687 9926.666368 6.20% 830 43 1189 2 0.009096988 0.433260281 0.313803466 9490.062666 4.40% 491 53 1190 0 0.006977174 0.567369021 0.312239752 10706.03337 4.50% 537 33 1191 0 0.010198592 0.413212438 0.293044517 13948.68465 5.50% 112 67 1192 1 0.008208136 0.570691949 0.263624707 19490.48614 5.70% 321 38 1193 2 0.00862328 0.463543323 0.308249821 17394.41178 5.30% 819 26 1194 2 0.015618113 0.331464484 0.237841901 8424.577391 4.70% 760 22 1195 1 0.007563096 0.610258393 0.266441104 16860.54402 5.00% 230 51 1196 1 0.008599674 0.501483482 0.284386464 13989.55998 4.80% 899 54 1197 0 0.008605767 0.559747396 0.254397482 12995.97094 4.30% 129 58 1198 0 0.010830272 0.581683027 0.194171356 11017.88657 4.90% 457 38 1199 0 0.008596661 0.403987748 0.35174109 13530.74571 5.20% 744 27 1200 0 0.013986857 0.527934411 0.164505631 17440.26324 2.50% 679 56 1201 0 0.007622117 0.574411384 0.277322681 10176.82083 5.80% 225 61 1202 0 0.01074356 0.408263951 0.275600672 16391.52778 5.00% 858 42 1203 1 0.006820812 0.643120663 0.27469679 22770.69279 3.70% 648 27 1204 2 0.010778176 0.48699473 0.228637584 17177.92434 3.30% 539 40 1205 1 0.010591538 0.450880487 0.251101049 15057.78884 3.70% 286 42 1206 2 0.00650828 0.5935617 0.3092224 28827.26316 6.50% 366 62 1207 2 0.010211934 0.374722024 0.311744085 16832.86614 5.20% 656 69 1208 1 0.013883549 0.37509961 0.227379937 15270.04363 4.80% 441 62 1209 2 0.004949468 0.852217633 0.28001725 15380.95312 4.50% 736 62 1210 2 0.015143994 0.287515847 0.270602677 16994.69581 4.70% 792 46 1211 0 0.006416879 0.628818951 0.291546108 10915.06057 5.50% 872 60 1212 2 0.006678204 0.641032568 0.274764763 20661.13051 5.50% 323 22 1213 0 0.011221083 0.381127113 0.274249375 7387.619116 5.40% 69 64 1214 1 0.006367626 0.858597182 0.214185176 14155.47389 5.40% 432 65 1215 1 0.007970747 0.680931892 0.215371116 6547.849564 5.80% 391 63 1216 2 0.008246529 0.611951099 0.231267723 12554.34987 5.30% 387 62 1217 0 0.012469535 0.257804559 0.360985528 22607.17705 4.10% 194 22 1218 0 0.011707906 0.403256917 0.245614507 14213.63845 6.00% 173 57 1219 2 0.009509181 0.55273411 0.220210449 9715.425929 7.50% 890 67 1220 1 0.01347857 0.291117929 0.294313322 11990.86375 5.60% 5 43 1221 0 0.007246931 0.701035392 0.226574337 14072.88673 4.40% 449 65 1222 0 0.01414818 0.347282321 0.234170592 7643.695965 5.70% 507 38 1223 0 0.012513615 0.381983975 0.240606331 7646.510143 5.80% 949 43 1224 2 0.010845931 0.405729277 0.261017829 25348.67681 5.20% 701 49 1225 1 0.01282078 0.356025547 0.251241015 18204.49719 6.30% 427 55 1226 1 0.015166258 0.407888485 0.184508064 7837.182326 3.10% 466 62 1227 2 0.008296878 0.643845376 0.213209477 14737.45887 4.50% 909 31 1228 2 0.006971744 0.678459628 0.240151565 13181.54317 6.00% 721 31 1229 0 0.010943195 0.484752542 0.214131587 16298.64703 7.10% 827 66 1230 1 0.007281625 0.587777559 0.26531463 10991.66964 4.40% 864 55 1231 2 0.004866974 0.551797867 0.420839138 20897.54824 4.80% 153 52 1232 1 0.008486884 0.613762603 0.216667052 16842.4525 5.00% 552 62 1233 1 0.008482305 0.528704889 0.249737783 17945.75633 6.50% 723 24 1234 1 0.007821611 0.510390519 0.279743633 9231.937676 4.10% 604 34 1235 0 0.010517386 0.336660532 0.313203876 16289.06934 5.70% 381 70 1236 2 0.009082481 0.458715143 0.266110988 22847.42823 5.50% 380 62 1237 0 0.010508973 0.531522522 0.198412099 18034.19435 6.00% 430 44 1238 0 0.008492296 0.585365552 0.22279234 14169.54613 4.90% 66 66 1239 2 0.01057155 0.732518166 0.14296229 12180.84785 5.90% 302 49 1240 2 0.007321853 0.768333211 0.196722498 23139.44858 3.50% 14 37 1241 0 0.017216887 0.342718336 0.18754014 16479.87655 4.20% 543 23 1242 0 0.010786097 0.54818345 0.187065923 16043.34547 6.80% 93 28 1243 0 0.013192167 0.4214118 0.198624748 21104.75569 4.50% 871 37 1244 1 0.007542712 0.460828536 0.316572506 20794.36238 4.50% 939 34 1245 2 0.011430877 0.371244591 0.258992448 11016.08665 4.80% 937 36 1246 1 0.008620614 0.570742882 0.223196829 13262.92765 4.80% 67 59 1247 0 0.010011891 0.498709331 0.219901072 16328.76499 4.40% 3 48 1248 0 0.009179849 0.668859474 0.177679704 14701.79168 3.20% 322 43 1249 0 0.010389066 0.393175942 0.266937052 13608.96043 4.50% 988 48 1250 2 0.014006472 0.307156491 0.253412846 15013.69396 4.60% 455 50 1251 2 0.012107033 0.352203517 0.255049783 3085.119669 5.90% 863 42 1252 1 0.014677201 0.386067108 0.191639698 13556.9206 5.50% 852 25 1253 0 0.011890917 0.29779904 0.305832389 10027.88911 4.40% 637 57 1254 0 0.010896317 0.36902246 0.269171557 19067.86757 6.00% 253 66 1255 0 0.011813119 0.62945329 0.14526643 19341.44158 4.50% 445 35 1256 0 0.00548607 0.756372435 0.259749963 19335.76057 4.90% 829 58 1257 2 0.008866018 0.570718378 0.212976184 12504.37323 3.00% 336 31 1258 1 0.009602208 0.461589369 0.242839354 17459.81805 4.50% 52 26 1259 1 0.00997699 0.39075891 0.275845848 10867.51653 2.60% 603 65 1260 0 0.013358868 0.330577823 0.242814072 10949.28786 5.10% 709 26 1261 2 0.010333799 0.48596629 0.212784712 23421.01896 6.40% 885 45 1262 0 0.011699636 0.330921902 0.275722273 13453.90249 4.30% 775 28 1263 2 0.005960109 0.667554098 0.268234716 26614.71681 5.00% 352 22 1264 1 0.005380747 0.779452186 0.254077933 19519.14508 5.30% 515 36 1265 2 0.016999815 0.398444079 0.156800024 15724.59981 4.50% 658 56 1266 1 0.016344127 0.434530704 0.149282064 7324.806886 3.30% 979 35 1267 1 0.00972637 0.48961824 0.222071586 12409.35158 3.80% 42 28 1268 2 0.013392619 0.321340528 0.244917445 14085.28541 4.80% 879 43 1269 0 0.004307183 0.917723933 0.266241653 17350.53494 4.40% 306 32 1270 2 0.009719704 0.446580502 0.241408732 14434.12243 5.60% 156 61 1271 2 0.009422451 0.594557513 0.186775154 15273.0818 4.60% 536 31 1272 0 0.010940607 0.462364482 0.206612466 19821.73526 3.50% 963 49 1273 1 0.006794038 0.74698215 0.205921123 7739.790885 4.40% 30 67 1274 2 0.01142473 0.345637702 0.26455245 16857.0483 4.40% 219 55 1275 2 0.011631898 0.354337529 0.253183425 12825.32668 4.20% 945 34 1276 0 0.006419586 0.681718606 0.238091075 23312.29717 5.20% 357 54 1277 0 0.010581784 0.368301659 0.267207973 11998.49987 5.20% 172 32 1278 0 0.010776014 0.484008385 0.199602286 28149.8984 3.50% 38 60 1279 1 0.007098066 0.661790247 0.221288011 12016.78055 4.20% 506 63 1280 2 0.01101785 0.337108049 0.278760351 13945.0944 4.70% 791 43 1281 0 0.00942771 0.341818029 0.321071107 13180.56381 5.50% 846 53 1282 2 0.007297696 0.473079648 0.299414605 19728.57935 3.40% 951 38 1283 0 0.011387012 0.355435188 0.254329508 11872.10283 6.00% 406 54 1284 1 0.006368078 0.507566337 0.31738378 16005.52151 5.10% 505 51 1285 1 0.012605375 0.279657573 0.290288211 14819.68791 5.80% 63 55 1286 2 0.012444663 0.252804291 0.324959224 15360.47371 5.40% 372 32 1287 1 0.009069514 0.466776428 0.241001916 6260.751393 5.70% 704 57 1288 2 0.006857388 0.622598326 0.238899351 14388.6788 3.60% 318 58 1289 2 0.009983864 0.412338579 0.247172158 18279.97395 5.20% 15 60 1290 1 0.010143782 0.316543516 0.316119814 13917.85472 5.80% 108 38 1291 2 0.007848636 0.863724529 0.14958826 17017.36192 5.10% 705 68 1292 2 0.00882094 0.491592583 0.232888507 9679.439509 5.70% 222 64 1293 0 0.010791511 0.642026777 0.1455213 12810.49107 4.90% 279 69 1294 1 0.007908538 0.50243224 0.252157173 13138.34513 6.50% 132 32 1295 2 0.018055576 0.208726714 0.265816236 20961.82916 4.80% 839 23 1296 2 0.006716408 0.427303908 0.349035597 16901.70072 5.50% 433 33 1297 0 0.008820851 0.520719412 0.217379228 21908.17958 5.10% 769 61 1298 0 0.008559391 0.553765681 0.21032252 15652.66868 5.10% 501 55 1299 1 0.005405528 0.693511148 0.265438725 20391.48209 5.30% 655 57 1300 0 0.006075447 0.709787857 0.230647382 19093.10348 4.00% 326 33 1301 2 0.012249522 0.406933035 0.199202892 16017.7506 6.00% 975 52 1302 0 0.011782173 0.249025401 0.335964371 17486.34541 4.30% 86 42 1303 0 0.014506555 0.274035372 0.247716961 15852.02384 4.10% 556 29 1304 2 0.010984136 0.487929894 0.182651085 13191.03049 4.70% 251 62 1305 1 0.010095777 0.417757349 0.232057055 17441.33664 4.90% 856 24 1306 0 0.008037039 0.438408907 0.276136957 15577.28695 5.90% 816 59 1307 2 0.013317203 0.408967402 0.17783228 11202.18891 6.70% 75 29 1308 2 0.015930139 0.228641654 0.26519407 17290.23797 5.20% 363 68 1309 0 0.014371067 0.189248445 0.35514515 8616.905043 7.20% 487 62 1310 1 0.010312043 0.384980423 0.24305675 12409.87064 6.10% 374 30 1311 2 0.009462375 0.379247366 0.268342928 17999.79534 5.60% 26 32 1312 1 0.00745965 0.375197583 0.343181689 14943.06805 3.70% 213 29 1313 0 0.011283251 0.356554395 0.238524296 9972.866832 7.30% 499 24 1314 0 0.005471834 0.67665162 0.25888484 10429.55402 5.00% 765 43 1315 0 0.006661277 0.51930362 0.275808746 22601.57442 3.80% 468 67 1316 0 0.01765767 0.222309389 0.242611697 18065.43236 3.50% 162 23 1317 1 0.010246069 0.477330283 0.194633621 17894.16891 3.80% 558 65 1318 1 0.015601526 0.213415353 0.285474063 18276.67076 3.90% 255 64 1319 2 0.00809398 0.392659799 0.29858685 10470.27688 6.40% 458 66 1320 2 0.008544338 0.460313342 0.240351243 17755.0819 5.40% 82 54 1321 2 0.008381835 0.542937877 0.207641904 4934.282651 4.30% 798 24 1322 0 0.015573108 0.329165153 0.184140731 12834.61702 5.20% 439 69 1323 2 0.017671073 0.182780239 0.291458724 21261.88538 5.70% 94 67 1324 1 0.006294243 0.503187968 0.297140653 7698.249002 5.70% 95 33 1325 2 0.005359372 0.665876334 0.263707887 12278.69273 4.60% 571 47 1326 1 0.00859328 0.612904445 0.178068204 21421.23911 5.10% 853 52 1327 0 0.014692293 0.273861191 0.232809785 11871.28708 5.50% 88 56 1328 1 0.009224497 0.568104444 0.178473235 29513.01907 5.60% 154 37 1329 0 0.008511061 0.635451271 0.172513494 14179.52183 5.90% 217 32 1330 2 0.006843577 0.52031835 0.261505654 12398.15823 5.10% 45 24 1331 2 0.013492953 0.31454705 0.21851609 15797.54677 4.60% 640 69 1332 2 0.008314133 0.519026383 0.214445481 4450.038295 5.40% 808 35 1333 2 0.004993556 0.837520528 0.219146076 17792.46163 4.50% 754 40 1334 1 0.008707889 0.672067424 0.15621729 18605.42279 5.30% 48 21 1335 0 0.012945454 0.308286607 0.228656945 17054.36069 6.90% 464 62 1336 0 0.017251725 0.324434167 0.162475009 5994.656865 4.30% 654 41 1337 1 0.007932178 0.610496957 0.187188477 18654.5325 5.50% 789 62 1338 2 0.008924967 0.475018615 0.213710841 18176.07791 6.00% 707 57 1339 1 0.008394907 0.554079657 0.194380582 14640.11425 5.10% 189 30 1340 0 0.004054676 0.747238363 0.298123087 15060.39092 4.90% 965 39 1341 2 0.010594369 0.430872713 0.197683108 15026.37957 4.90% 328 36 1342 0 0.01678926 0.216554153 0.247441651 13856.22007 4.60% 809 59 1343 1 0.005527249 0.68465746 0.237591692 8964.91345 5.90% 982 63 1344 1 0.007726774 0.620547484 0.187385336 11291.70875 5.10% 467 67 1345 2 0.006502737 0.685599975 0.200583527 9624.359835 7.00% 942 29 1346 2 0.009157055 0.416324186 0.234220543 13181.87444 3.20% 20 30 1347 1 0.008619652 0.355818515 0.290467411 20341.03787 5.30% 755 42 1348 1 0.00606089 0.609493941 0.240778588 19483.10022 4.60% 710 56 1349 2 0.008175116 0.534467404 0.20341337 16256.21822 5.60% 71 60 1350 1 0.004933358 0.617737798 0.291321188 15126.7921 3.40% 136 24 1351 2 0.013919055 0.356861211 0.178720286 20210.89644 4.80% 137 59 1352 1 0.008703848 0.496875834 0.205241331 16379.34101 6.10% 243 35 1353 0 0.010255857 0.413196072 0.20942163 9346.339008 5.10% 309 45 1354 0 0.012152186 0.304765775 0.239465711 15535.44341 5.60% 12 61 1355 1 0.009518942 0.568856669 0.163691562 19755.2685 4.60% 995 25 1356 1 0.006011832 0.556117831 0.264603967 9971.684196 4.60% 706 68 1357 2 0.014952823 0.207679171 0.284459936 13142.35573 4.30% 265 59 1358 1 0.009296509 0.319725785 0.296963901 12551.65852 4.80% 338 64 1359 1 0.009316925 0.392591411 0.240976814 14638.38985 3.90% 436 57 1360 1 0.009277077 0.42357495 0.223469709 13696.36189 3.50% 987 24 1361 1 0.012224335 0.255427946 0.2802779 15410.95311 6.10% 796 40 1362 2 0.007027486 0.690320243 0.180003431 9467.490365 5.80% 465 33 1363 1 0.010641639 0.354053135 0.231635189 17447.244 4.20% 662 61 1364 0 0.007467665 0.43172989 0.269415769 21331.16103 5.40% 90 21 1365 1 0.007235474 0.472401013 0.253368577 13443.13741 6.70% 984 69 1366 1 0.006874851 0.690146153 0.182339346 21958.315 5.30% 560 70 1367 0 0.006324617 0.641962606 0.21301632 12384.09563 5.70% 103 49 1368 1 0.010794677 0.237873178 0.336770838 15976.78364 5.60% 484 36 1369 0 0.011302096 0.347172304 0.219558781 11120.6609 6.20% 16 52 1370 2 0.010163028 0.329093587 0.256585841 19489.76567 5.30% 351 42 1371 0 0.011375721 0.359825036 0.209315712 12394.20196 4.00% 669 38 1372 0 0.009850169 0.389374505 0.223255319 18391.46916 5.40% 577 48 1373 1 0.008816128 0.4626716 0.209822866 15820.17737 4.20% 715 31 1374 2 0.008514083 0.499398466 0.201172137 16654.98548 4.90% 747 30 1375 0 0.013883802 0.202887859 0.303493089 5238.821676 5.00% 976 28 1376 1 0.006787964 0.7255895 0.173568789 11393.7817 4.90% 815 67 1377 0 0.006150499 0.612578867 0.226828568 21232.58627 5.60% 641 42 1378 1 0.009384905 0.495096222 0.183901898 19011.82319 3.70% 246 54 1379 2 0.005862317 0.669008346 0.217690195 23503.28627 5.70% 906 47 1380 2 0.010468443 0.265650261 0.306892524 19882.06163 5.00% 823 56 1381 2 0.007525769 0.417641854 0.270579962 14261.08145 4.40% 130 48 1382 2 0.007524284 0.423879317 0.26645693 21305.80943 4.50% 900 30 1383 2 0.009066189 0.367851074 0.253058094 20418.94358 2.50% 329 57 1384 2 0.004346196 0.681119881 0.284334836 20985.02932 5.10% 408 42 1385 0 0.013636506 0.244631023 0.252073285 23350.07774 3.40% 214 60 1386 2 0.006892649 0.703016618 0.173112641 18872.41359 5.20% 660 48 1387 0 0.011983747 0.350910356 0.19875017 12499.90097 3.10% 238 51 1388 1 0.007793956 0.506819807 0.211411666 15607.97506 4.90% 245 30 1389 0 0.006669667 0.467688508 0.267103271 6627.875094 3.80% 883 48 1390 1 0.003860002 0.929578766 0.231113948 9126.260887 4.30% 211 45 1391 1 0.012917951 0.265749667 0.241402733 16329.25429 5.60% 884 26 1392 1 0.010168587 0.465987315 0.174620677 15004.77557 4.30% 570 30 1393 2 0.006574285 0.392800172 0.319327027 15813.10435 3.20% 763 34 1394 1 0.004973009 0.561623641 0.294592162 17223.6218 6.30% 92 56 1395 2 0.011864529 0.20957729 0.33042438 11266.00251 4.60% 474 32 1396 1 0.005917911 0.462441369 0.300118812 20485.87614 6.20% 462 29 1397 1 0.0130143 0.248860339 0.253279937 16298.31643 4.30% 762 39 1398 0 0.01026609 0.298466141 0.267319513 5531.363332 5.90% 34 44 1399 1 0.006382338 0.557184293 0.230211859 21634.54655 5.30% 18 30 1400 0 0.004277988 0.902510423 0.211285972 14999.16582 5.50% 459 46 1401 1 0.004117007 0.760898635 0.259074291 13485.06997 6.50% 790 54 1402 0 0.009478073 0.357941242 0.23905129 15037.66292 4.30% 781 37 1403 2 0.00756654 0.365977962 0.292263438 10560.42758 4.80% 741 36 1404 1 0.004781735 0.882747895 0.19146767 6067.841184 5.00% 400 40 1405 0 0.004286486 0.668694441 0.281931917 10005.37307 5.20% 683 58 1406 2 0.004705022 0.512516778 0.33484559 18486.42756 5.10% 370 34 1407 1 0.012809749 0.338078129 0.186030846 16217.45893 5.80% 844 67 1408 2 0.008802732 0.787014967 0.115520688 11662.47959 5.70% 740 68 1409 0 0.00779388 0.364299568 0.279476619 11539.90224 3.90% 110 21 1410 2 0.008381691 0.458745058 0.2049163 16472.74993 5.10% 946 21 1411 1 0.012033119 0.228531938 0.286219071 17655.37227 6.80% 51 38 1412 1 0.014359118 0.227910409 0.239882669 17598.38037 5.00% 724 35 1413 2 0.006390733 0.497538677 0.246340185 22801.80609 6.10% 941 43 1414 1 0.00720983 0.555711116 0.19437477 15314.21468 4.70% 284 59 1415 1 0.00729773 0.449659868 0.237009364 12369.56729 5.80% 353 42 1416 2 0.008757979 0.269408309 0.329560403 17142.74568 5.70% 311 60 1417 2 0.018930908 0.191915625 0.213353272 9383.68601 4.50% 894 59 1418 1 0.00955412 0.33964972 0.238331335 6936.511589 6.10% 147 23 1419 2 0.014389661 0.39276124 0.136776654 18242.88029 4.60% 463 63 1420 2 0.009193534 0.482364846 0.173947839 14645.83453 3.60% 565 70 1421 1 0.012051679 0.255257177 0.248838718 12624.45649 3.20% 688 21 1422 1 0.006474329 0.569399066 0.207427423 10153.08784 4.70% 386 62 1423 2 0.006775448 0.427049263 0.264063788 13707.08984 3.30% 878 55 1424 1 0.00683743 0.666693982 0.167086301 6401.165134 6.60% 200 48 1425 0 0.00778975 0.300279854 0.325427327 6713.505611 4.70% 375 53 1426 2 0.008366629 0.396748116 0.229047118 16015.43626 4.50% 590 35 1427 2 0.007412308 0.316853585 0.322918042 12494.32804 5.30% 250 63 1428 2 0.007074526 0.592380621 0.180827511 13166.4522 5.70% 617 27 1429 2 0.005877531 0.468727688 0.27390823 19311.5103 4.20% 780 38 1430 2 0.014767766 0.263123234 0.193059998 17942.35625 5.50% 379 68 1431 0 0.008504469 0.288092048 0.306106318 13154.7036 3.70% 267 35 1432 2 0.010454473 0.407630374 0.175607454 10025.63913 3.10% 814 69 1433 1 0.014150263 0.285530005 0.185056814 10243.57318 6.30% 594 70 1434 1 0.005133262 0.440472915 0.330518095 16230.62414 2.10% 825 41 1435 0 0.011097341 0.245957678 0.273330214 12834.43958 4.00% 139 48 1436 1 0.009554443 0.490966676 0.158425327 11694.00088 5.40% 777 40 1437 0 0.005968983 0.531335479 0.234055476 15778.92649 5.70% 56 50 1438 2 0.009391909 0.354520999 0.220949438 14058.27025 3.70% 784 31 1439 0 0.004500915 0.538991458 0.302711964 14437.52012 4.70% 626 55 1440 2 0.009808736 0.324247015 0.230791038 16130.32268 4.60% 524 41 1441 0 0.008999587 0.510395567 0.159362161 12890.56756 5.30% 24 44 1442 0 0.010343436 0.297303784 0.236891347 15937.84955 5.90% 423 33 1443 2 0.004896193 0.591358252 0.248762334 11464.73296 7.20% 155 50 1444 1 0.007267496 0.374203303 0.264611607 19164.3835 6.00% 448 60 1445 2 0.005910176 0.456702133 0.266317329 18238.65029 6.00% 68 21 1446 0 0.004541911 0.674621299 0.234216177 12325.90909 4.40% 686 47 1447 0 0.006024067 0.42288602 0.281340853 11348.75279 5.10% 203 25 1448 1 0.005003828 0.604480403 0.236676987 13856.8187 4.70% 811 29 1449 2 0.015614113 0.159099639 0.287712415 12223.99854 5.40% 692 45 1450 2 0.009478563 0.381814629 0.196766817 13163.88047 5.30% 298 38 1451 2 0.007377751 0.354212119 0.272427043 8010.448873 5.00% 612 55 1452 1 0.007364109 0.392418184 0.246295642 23234.28407 3.80% 297 46 1453 2 0.009115925 0.326980393 0.238022846 15260.15055 6.20% 804 45 1454 0 0.006493852 0.383049059 0.285075111 5161.863449 6.10% 820 59 1455 2 0.009469794 0.445606711 0.1663904 15083.85014 4.20% 272 53 1456 0 0.004577911 0.630424132 0.24320192 10221.4738 5.00% 122 26 1457 1 0.005968034 0.465670057 0.252383749 11297.18903 4.80% 529 40 1458 1 0.005795337 0.455998911 0.26499463 11082.95202 3.60% 271 30 1459 2 0.003837595 0.783097443 0.232672204 13426.8447 4.00% 514 43 1460 0 0.006078748 0.540249744 0.212850575 25895.19523 4.40% 833 60 1461 1 0.007290639 0.476068129 0.201202304 22460.26029 4.90% 610 61 1462 0 0.002920532 0.739201037 0.322359728 3570.974228 4.80% 117 49 1463 0 0.013142805 0.319549969 0.165123854 8545.795549 4.90% 770 23 1464 2 0.019692464 0.189427956 0.185768886 17174.16187 4.90% 591 57 1465 1 0.009041865 0.366512366 0.208995114 24293.8135 4.60% 121 27 1466 1 0.004537163 0.69926803 0.217096735 19972.27699 5.00% 865 38 1467 2 0.014587614 0.233134863 0.202210848 15263.11337 5.40% 758 28 1468 2 0.008875268 0.455071997 0.168314924 12038.20654 5.70% 452 68 1469 1 0.0025619 0.661317664 0.401018364 22069.20065 5.30% 860 65 1470 0 0.008644234 0.33786799 0.232056713 18414.1803 5.40% 79 31 1471 2 0.016365567 0.142043483 0.290579185 10594.36062 5.80% 315 56 1472 2 0.012471954 0.220093538 0.245921049 16183.86195 7.00% 497 47 1473 1 0.010158533 0.379992522 0.174520942 17470.36337 5.60% 668 50 1474 0 0.007811515 0.308740742 0.279127694 15974.48128 5.40% 413 55 1475 1 0.008415415 0.298524237 0.266180811 16831.93809 5.70% 240 35 1476 2 0.004179525 0.498814222 0.320748875 8303.697777 4.10% 582 65 1477 1 0.003876757 0.624618597 0.275941947 7362.711595 5.40% 921 36 1478 0 0.004551223 0.496245231 0.295191519 12027.83557 4.30% 77 47 1479 1 0.006155961 0.486954525 0.220589946 18520.76387 4.80% 985 59 1480 2 0.005105037 0.64980705 0.198708382 14137.17614 3.80% 904 34 1481 1 0.007678712 0.37985637 0.224666562 12557.95057 4.90% 761 26 1482 0 0.004222293 0.536456258 0.288775712 15851.02933 6.00% 428 50 1483 1 0.01096557 0.337602602 0.176549869 9889.834087 4.50% 107 48 1484 2 0.007589625 0.759858729 0.113257211 12623.77649 4.90% 958 48 1485 0 0.010736487 0.240153876 0.253228009 9426.763655 5.80% 152 54 1486 2 0.006231914 0.322611912 0.324159136 8324.704076 5.50% 369 67 1487 0 0.008560526 0.299559416 0.253461716 20236.02166 4.10% 310 27 1488 1 0.009368172 0.297261703 0.231823365 17915.78613 4.50% 593 34 1489 1 0.008041435 0.283602911 0.282814407 16078.23364 4.40% 418 28 1490 1 0.005168236 0.617926108 0.201030365 16182.71462 5.80% 389 59 1491 0 0.012757093 0.211871111 0.236477135 12914.97754 5.40% 516 27 1492 1 0.011786637 0.200261171 0.270332662 19988.18033 6.50% 324 48 1493 2 0.003783534 0.691093649 0.242661059 18321.89904 5.50% 102 60 1494 1 0.003010813 0.644530058 0.326410805 16172.02343 7.30% 698 42 1495 0 0.006459205 0.573889251 0.169889523 6035.863319 5.50% 254 28 1496 1 0.009890947 0.36374042 0.174784577 11808.96473 5.10% 312 58 1497 0 0.004580589 0.481317361 0.283617776 13396.06181 5.70% 165 29 1498 2 0.00800535 0.437292658 0.178615516 17911.07745 5.40% 422 30 1499 0 0.007384513 0.32004691 0.262866359 15968.65686 7.10% 392 65 1500 1 0.002379157 0.679339943 0.382606611 11834.21582 6.50% 700 39 1501 2 0.012118489 0.235487752 0.216422857 17174.00421 3.90% 316 34 1502 0 0.004793882 0.43656865 0.29320442 5371.755645 5.60% 722 41 1503 2 0.009168737 0.233105879 0.287061422 11807.81144 5.20% 307 36 1504 1 0.011343323 0.269725737 0.199824548 5834.804461 4.50% 142 31 1505 2 0.002758838 0.841038861 0.263199327 22219.3008 5.60% 368 35 1506 1 0.011657393 0.194921728 0.268634024 13824.58647 6.70% 847 59 1507 2 0.004500291 0.617131738 0.218512591 20977.38101 6.70% 360 60 1508 2 0.003619544 0.601249966 0.278617763 19778.33302 2.50% 818 32 1509 0 0.006574196 0.332624397 0.276141721 18829.82541 4.30% 115 49 1510 0 0.003958849 0.721953503 0.211026169 15937.347 4.80% 59 54 1511 2 0.005456275 0.35457609 0.311462323 9508.988294 5.60% 305 41 1512 0 0.0061662 0.426946645 0.228358073 13107.24726 5.20% 595 46 1513 1 0.008538635 0.32831449 0.213935913 15408.10482 3.60% 836 46 1514 0 0.003810473 0.400394397 0.392364006 6573.62676 3.50% 434 33 1515 0 0.004299734 0.881652594 0.156944015 14562.03662 7.30% 882 31 1516 0 0.007365573 0.327551371 0.243769696 14522.74686 5.60% 496 42 1517 0 0.003282514 0.567460753 0.315725296 16537.08857 4.30% 746 60 1518 0 0.007263788 0.311123093 0.259619638 10657.72526 4.10% 483 59 1519 1 0.008172108 0.420625934 0.170129998 18782.80581 6.10% 931 41 1520 0 0.004733673 0.393506441 0.313884084 14667.66309 4.80% 659 38 1521 0 0.004347161 0.510160829 0.263434697 15108.95322 6.60% 938 49 1522 2 0.004123727 0.390951746 0.360980899 19845.33994 3.20% 961 27 1523 0 0.008304474 0.236363701 0.296027681 19421.69867 5.80% 208 52 1524 0 0.006550832 0.28632452 0.308534383 12215.60782 3.50% 703 34 1525 1 0.022341263 0.091213394 0.28388001 6446.622908 3.70% 569 55 1526 0 0.008017577 0.332561919 0.216807435 19081.24184 5.80% 531 66 1527 1 0.006365167 0.319689581 0.284010827 18366.94731 4.30% 415 60 1528 2 0.005264534 0.506919176 0.216383473 22855.47632 4.70% 813 21 1529 2 0.00763779 0.271004477 0.278846121 19934.61642 3.00% 978 46 1530 0 0.004988617 0.620620744 0.18584623 16845.7838 4.00% 498 50 1531 0 0.005948418 0.481906181 0.19989538 11346.57089 5.50% 933 21 1532 2 0.008964611 0.264222252 0.237888032 10940.5918 4.40% 718 66 1533 2 0.005136175 0.402905008 0.271444688 14162.8428 4.10% 291 48 1534 1 0.010660543 0.261038826 0.201573287 13965.88029 6.60% 120 53 1535 0 0.010861417 0.23812282 0.2159485 16874.68022 5.10% 650 28 1536 1 0.009581913 0.241628145 0.240189147 14251.43578 4.00% 606 26 1537 2 0.011692123 0.113819724 0.41360199 8540.863212 4.60% 691 25 1538 1 0.007466304 0.357464149 0.205557993 16601.13397 3.70% 182 66 1539 1 0.005481251 0.432591217 0.230567494 14844.55761 3.70% 383 39 1540 1 0.009379816 0.273335498 0.212398841 15982.10365 6.50% 170 70 1541 1 0.004402359 0.435508002 0.283763721 10322.97004 4.60% 41 61 1542 1 0.002804439 0.670010358 0.288724703 12193.26036 5.40% 125 23 1543 0 0.006136902 0.457366718 0.192773635 15055.55505 5.00% 989 49 1544 1 0.005191034 0.468586095 0.221775119 20483.49589 3.70% 749 65 1545 0 0.00834943 0.366901789 0.175363531 13369.36821 3.80% 828 67 1546 1 0.00791986 0.317622273 0.212939091 16310.05748 4.50% 236 27 1547 0 0.004747257 0.470486238 0.239771958 13076.19413 5.10% 566 47 1548 0 0.006303429 0.384255064 0.220956433 6505.529028 5.90% 541 59 1549 2 0.00447127 0.601151922 0.199076282 14995.80203 4.40% 97 63 1550 0 0.002300285 0.66366862 0.350173164 1991.134749 4.90% 714 70 1551 2 0.015944607 0.215943032 0.154809227 12893.2245 5.40% 972 26 1552 2 0.0124983 0.281373723 0.151419798 3713.277276 3.80% 244 39 1553 2 0.003808103 0.689367282 0.202372102 10866.10586 3.60% 553 34 1554 1 0.006076605 0.341215146 0.25613001 14419.022 5.20% 191 36 1555 0 0.008626609 0.299880326 0.204730469 17687.30656 4.80% 438 40 1556 2 0.005863713 0.369831239 0.243964212 26877.50955 3.70% 748 55 1557 2 0.00606892 0.391837983 0.221733069 21033.51866 6.40% 74 48 1558 1 0.004633673 0.474564824 0.239687616 8041.392759 3.80% 473 54 1559 0 0.007149495 0.300507798 0.244209848 9683.696771 4.30% 394 23 1560 0 0.004591538 0.376374751 0.303493675 20703.81209 4.70% 797 49 1561 2 0.013753006 0.160549677 0.233965505 13180.33495 2.70% 134 30 1562 2 0.008954773 0.274817706 0.209392994 20161.35106 5.50% 13 70 1563 1 0.007177474 0.4111547 0.174370673 14322.41388 3.30% 782 63 1564 0 0.005099536 0.39578081 0.251919558 14020.76558 5.40% 936 30 1565 2 0.007564898 0.463359744 0.143770044 11739.24028 3.40% 646 42 1566 0 0.011137311 0.214510725 0.21028327 11750.20666 7.00% 681 62 1567 0 0.004569415 0.414661069 0.264730929 21480.10498 5.30% 101 56 1568 2 0.006103293 0.385654703 0.213065953 15476.00814 3.40% 91 40 1569 0 0.009675733 0.18523081 0.27755236 14240.11606 5.10% 277 66 1570 2 0.012374303 0.137743044 0.291575886 19234.61066 4.50% 608 65 1571 0 0.003132662 0.73461061 0.213888887 12105.37761 4.00% 294 68 1572 2 0.007187399 0.331186423 0.206427764 19352.80811 4.10% 624 41 1573 1 0.014635786 0.109421035 0.304573087 14959.04693 6.00% 837 58 1574 2 0.007509937 0.279360115 0.231847842 18774.39454 4.60% 419 46 1575 1 0.008170537 0.302450537 0.195652251 9266.190933 3.40% 28 37 1576 0 0.004593218 0.688504048 0.152138029 16704.99429 5.90% 451 22 1577 0 0.008373253 0.227717504 0.251470508 17676.67371 4.90% 198 62 1578 1 0.002417944 0.549800858 0.357838001 8310.713146 5.60% 621 42 1579 1 0.013455174 0.241065589 0.146119897 15681.32431 5.00% 534 34 1580 0 0.004310864 0.568431658 0.19323809 8741.008237 4.00% 589 30 1581 2 0.018779735 0.120885936 0.207657318 20176.61198 6.20% 138 40 1582 0 0.003408532 0.676024988 0.203025753 15609.2321 5.10% 404 48 1583 1 0.008427981 0.23780824 0.233110889 27341.72848 4.80% 378 47 1584 1 0.004451051 0.440950385 0.236904711 22804.44924 6.90% 854 53 1585 1 0.009956382 0.281500629 0.165245748 14214.27135 4.80% 276 67 1586 1 0.003138051 0.506791435 0.290545417 12026.94241 5.80% 964 51 1587 0 0.008363996 0.218908347 0.249676919 17124.19583 4.40% 581 67 1588 1 0.009697912 0.180395019 0.260599555 19485.02562 3.30% 568 40 1589 0 0.004329588 0.439933356 0.238756179 13802.39483 4.20% 308 54 1590 0 0.012955281 0.16324367 0.214772851 19001.68134 5.20% 533 44 1591 2 0.010952764 0.226056898 0.182968904 14080.59977 4.30% 759 27 1592 1 0.008034077 0.222846965 0.249157883 25122.70388 5.90% 886 36 1593 0 0.006674813 0.32859432 0.202595672 14636.50324 5.00% 572 36 1594 0 0.003914676 0.580727033 0.194954659 13207.57953 4.50% 549 25 1595 0 0.00235757 0.82957008 0.226299649 17300.5161 5.10% 193 39 1596 1 0.002200373 0.689938828 0.29101716 6524.615227 6.00% 538 56 1597 1 0.012135316 0.193100824 0.187675607 17465.97336 4.90% 175 33 1598 2 0.008297163 0.236469356 0.219693278 16410.1734 4.20% 280 45 1599 1 0.005065824 0.360407868 0.235452439 12419.52054 4.40% 395 54 1600 2 0.007378119 0.250986312 0.231656794 21308.03645 4.40% 661 69 1601 2 0.002379229 0.831790823 0.214937976 9279.231393 6.50% 607 46 1602 0 0.004095956 0.336419289 0.307742371 16587.44559 4.70% 476 22 1603 2 0.003931639 0.563490296 0.190841789 12101.00854 6.60% 905 34 1604 0 0.005951301 0.26623571 0.264588585 15474.94591 5.30% 399 67 1605 1 0.005325773 0.489218148 0.160659421 22992.08218 4.30% 232 28 1606 2 0.004653232 0.50322818 0.177839339 9561.589889 5.50% 874 32 1607 1 0.002721831 0.639695441 0.237234994 7654.232426 4.80% 40 44 1608 1 0.003296857 0.405519512 0.308003417 14956.67097 4.60% 143 42 1609 0 0.006533003 0.302861805 0.20643811 27307.02713 5.70% 774 43 1610 1 0.00349995 0.864800819 0.134921287 16619.87111 5.20% 347 35 1611 2 0.005434598 0.343796469 0.216968295 19127.48209 6.00% 393 32 1612 2 0.00370786 0.377422948 0.288342213 14691.6969 5.00% 453 25 1613 2 0.003663757 0.84207156 0.128506731 13274.40373 6.20% 78 35 1614 0 0.005015389 0.387795227 0.203294046 16126.91775 4.10% 249 50 1615 0 0.010575155 0.170469056 0.2185167 10972.12993 5.30% 349 63 1616 2 0.006713678 0.285390435 0.204938527 22211.00808 4.30% 168 26 1617 0 0.005651982 0.327433088 0.211830881 24894.83791 4.40% 927 44 1618 0 0.012861513 0.173498948 0.175663214 14438.93347 7.00% 870 70 1619 2 0.012213711 0.108558833 0.293119543 13610.72107 5.80% 954 35 1620 0 0.002256922 0.570123813 0.301805288 27616.83065 4.80% 178 59 1621 1 0.002392928 0.48422557 0.329669255 17968.6248 5.20% 99 38 1622 2 0.011931552 0.116625606 0.274353838 23256.80111 7.10% 783 64 1623 1 0.009845672 0.252563735 0.153203716 22062.2723 7.20% 89 53 1624 2 0.011978706 0.155269913 0.204742084 17568.56643 3.50% 373 47 1625 2 0.002757456 0.553585976 0.248236246 9611.742664 4.00% 402 69 1626 2 0.013819896 0.132184927 0.207362372 9787.664054 5.00% 832 37 1627 2 0.003278825 0.502890754 0.227496219 14481.67199 4.60% 337 57 1628 0 0.007025947 0.173539848 0.30445459 16329.81008 4.00% 642 43 1629 0 0.003152711 0.422735446 0.276815031 19376.87021 6.30% 682 47 1630 1 0.002853307 0.597200017 0.216470992 23695.62671 3.80% 361 62 1631 1 0.004533891 0.408009659 0.199294595 12237.14415 4.20% 611 35 1632 2 0.002924752 0.52549303 0.234882316 12673.02257 5.30% 968 44 1633 1 0.002580343 0.381752439 0.364767808 16340.49868 5.70% 812 53 1634 0 0.006591904 0.215788081 0.249892785 7477.790992 4.10% 239 53 1635 2 0.006262443 0.206100026 0.274142314 19787.07359 4.60% 574 37 1636 1 0.011738217 0.166236463 0.180869781 9904.974227 5.30% 407 60 1637 0 0.004158051 0.319535144 0.265430337 18522.73437 4.60% 65 60 1638 0 0.008235926 0.142831148 0.299562322 14250.41542 5.40% 190 41 1639 1 0.005414796 0.317878976 0.203186588 18251.59387 5.50% 850 57 1640 0 0.01059657 0.205503571 0.159823601 9516.413944 5.30% 141 70 1641 0 0.003998801 0.318158824 0.26968768 15921.2168 6.20% 708 23 1642 2 0.003179021 0.286610311 0.375395155 12704.31939 3.00% 403 28 1643 2 0.002771685 0.530829402 0.231458244 31687.6431 4.10% 666 68 1644 1 0.005906586 0.283717271 0.20309515 8176.726948 5.30% 21 40 1645 2 0.004391121 0.385600409 0.200922026 13159.69472 7.00% 851 63 1646 2 0.003372726 0.461553826 0.217182661 12916.95778 4.40% 278 41 1647 1 0.005405744 0.205397499 0.302329034 14101.65533 3.00% 471 41 1648 1 0.006633086 0.176332469 0.286770453 17803.37981 5.40% 288 67 1649 2 0.002545453 0.657351203 0.200028768 24274.08951 4.30% 301 24 1650 2 0.014977127 0.131112283 0.169756647 23593.19064 2.60% 916 43 1651 1 0.002990359 0.45880629 0.242897155 16109.79171 6.00% 542 64 1652 0 0.004561463 0.264951822 0.268811234 17413.66001 5.20% 592 68 1653 1 0.002276336 0.43866903 0.323691258 10553.31968 4.20% 365 41 1654 1 0.00149681 0.750148709 0.286960152 23081.53065 5.60% 237 57 1655 1 0.001757205 0.536858759 0.340368665 20522.74866 5.80% 22 32 1656 2 0.005398404 0.291625909 0.203192049 23820.76645 4.20% 202 25 1657 1 0.004425718 0.246434658 0.285083007 11785.72034 5.50% 43 43 1658 0 0.001586165 0.682113079 0.286471387 13286.25213 3.90% 793 70 1659 2 0.011595213 0.166430206 0.158534483 32965.1753 6.30% 127 23 1660 1 0.003381248 0.350580154 0.257668781 16710.63406 2.60% 919 44 1661 1 0.012195741 0.095175358 0.261755994 10729.55651 4.00% 85 40 1662 1 0.015751021 0.072608473 0.264072475 21253.55004 5.00% 875 27 1663 2 0.004204624 0.50530607 0.142069351 16200.52707 4.10% 716 52 1664 0 0.002554151 0.473096373 0.249778995 8580.436162 4.60% 881 32 1665 0 0.002713781 0.555374282 0.194714144 9410.150861 5.20% 929 35 1666 1 0.009510063 0.163654088 0.187880096 17256.19256 5.30% 9 30 1667 1 0.007014851 0.236823104 0.174548119 13264.82252 2.80% 664 22 1668 1 0.00546531 0.29637805 0.17807064 7537.235366 5.10% 359 42 1669 1 0.006108126 0.194537077 0.242573998 10157.20083 6.30% 576 65 1670 0 0.005881287 0.240604215 0.199873162 18871.12944 3.10% 490 69 1671 1 0.002898544 0.459044533 0.211177221 20826.24584 4.40% 733 58 1672 1 0.000997581 0.75276128 0.369219046 16340.93647 5.50% 586 36 1673 1 0.004004026 0.30823279 0.217117345 8220.505319 6.60% 584 50 1674 2 0.001315018 0.819779949 0.245048649 10726.89069 5.10% 259 28 1675 0 0.003081354 0.402567372 0.209953351 25091.27982 4.50% 480 52 1676 1 0.001874999 0.543349181 0.254659766 18718.87608 5.50% 555 47 1677 1 0.00436945 0.300601408 0.189321332 12737.70459 3.50% 164 56 1678 2 0.003225139 0.287475655 0.264343909 13275.50498 3.40% 695 68 1679 2 0.003300244 0.381578848 0.194291724 11672.61492 5.20% 332 33 1680 2 0.00406316 0.28329897 0.210594784 10726.50801 4.60% 109 26 1681 2 0.003961682 0.233552691 0.26168315 4303.488685 5.80% 554 27 1682 1 0.006896252 0.17645956 0.194811739 11463.81192 4.00% 233 38 1683 0 0.00825424 0.168651573 0.169018803 10833.84592 5.20% 345 24 1684 2 0.004605431 0.215246512 0.228360651 10053.10986 7.40% 873 69 1685 0 0.004240613 0.319869205 0.166785523 15610.82774 4.30% 435 24 1686 2 0.001497593 0.54505385 0.271645163 11263.12729 5.00% 444 30 1687 0 0.001215907 0.60378108 0.301800714 12839.98434 3.80% 810 65 1688 0 0.002614597 0.291389218 0.289000204 18918.03624 4.90% 325 30 1689 0 0.002175391 0.399505709 0.243762835 11477.05217 5.70% 635 53 1690 2 0.004919214 0.186268519 0.228338598 3551.737057 4.50% 300 67 1691 1 0.005396658 0.210524941 0.183125936 2744.907293 5.60% 652 62 1692 0 0.002298744 0.283820166 0.315097906 11216.13655 4.30% 585 32 1693 0 0.00158988 0.700294261 0.184482665 21368.05424 4.80% 503 62 1694 2 0.001843639 0.473364927 0.232541737 18612.08948 4.60% 350 52 1695 2 0.00409151 0.181853394 0.268096816 14769.99638 3.50% 218 42 1696 0 0.001568199 0.451518026 0.280777296 21912.67054 4.20% 241 48 1697 0 0.002382508 0.347181436 0.236298545 8931.86748 4.60% 292 56 1698 2 0.002349848 0.373406855 0.221612586 9893.044635 6.30% 186 53 1699 0 0.018024616 0.055299509 0.192418305 3723.514092 6.30% 166 44 1700 0 0.004513276 0.154088352 0.270300174 14142.16864 4.60% 157 28 1701 1 0.001884972 0.310102244 0.305595135 12670.23057 6.30% 960 37 1702 2 0.002104141 0.271727811 0.309735479 15912.51868 6.20% 118 51 1703 1 0.00149434 0.46897279 0.251695895 18757.04545 6.20% 450 25 1704 1 0.001716359 0.465413814 0.220651847 17905.19456 4.60% 76 28 1705 0 0.00159386 0.376213772 0.282234428 19827.26623 5.20% 915 54 1706 1 0.002236428 0.416647829 0.178824911 12108.61781 5.00% 866 56 1707 2 0.001661201 0.350758633 0.280992465 17933.49978 3.90% 212 43 1708 0 0.005061428 0.114795041 0.281586084 8099.468249 4.50% 806 31 1709 0 0.001481923 0.468799361 0.22437977 17186.8728 5.50% 242 29 1710 2 0.003334424 0.247579323 0.188294708 8247.087461 5.60% 478 36 1711 0 0.000829316 0.604253897 0.306913942 13601.44388 5.10% 862 43 1712 0 0.001363705 0.474715362 0.230466708 15003.81904 3.50% 385 54 1713 2 0.001629455 0.355600202 0.232404477 16622.33238 6.40% 224 52 1714 1 0.002836524 0.306219052 0.154475101 14514.18935 4.40% 520 28 1715 2 0.00162254 0.282198191 0.289424517 11053.87885 4.30% 788 26 1716 0 0.004170472 0.154820779 0.202693969 12931.66037 6.90% 412 61 1717 0 0.002342468 0.204898387 0.271892194 17606.50076 3.20% 956 37 1718 2 0.003321944 0.168382462 0.229392813 14369.74214 2.60% 735 41 1719 0 0.001687715 0.334351982 0.219455432 18465.0135 4.50% 488 31 1720 0 0.0017993 0.284612705 0.233416199 19369.43122 5.90% 845 45 1721 0 0.006589407 0.122566036 0.146149047 6938.018233 5.10% 974 30 1722 0 0.001397474 0.31661814 0.262891415 13678.14127 3.80% 398 43 1723 2 0.001025189 0.690402217 0.153835128 17594.17025 3.80% 160 50 1724 0 0.001885658 0.263844784 0.216034712 10048.88933 6.40% 822 39 1725 1 0.001148397 0.412782699 0.220322579 4553.737494 5.20% 10 33 1726 0 0.000812995 0.531990875 0.236175187 21552.31362 4.00% 344 67 1727 1 0.008068527 0.05028983 0.246063119 18700.35046 5.10% 183 59 1728 1 0.001025321 0.380284467 0.250588905 16918.01512 6.10% 477 41 1729 0 0.000557936 0.776976409 0.225373111 11908.98993 5.00% 644 45 1730 1 0.00086993 0.494931248 0.221307067 12857.25178 3.10% 145 64 1731 0 0.001726459 0.214654844 0.239174936 2381.292306 5.20% 912 22 1732 1 0.002352723 0.166819534 0.222618465 12053.14023 4.70% 257 34 1733 0 0.001464095 0.214695669 0.277029152 19373.04679 5.10% 53 58 1734 1 0.002774671 0.145132076 0.211677049 12051.19312 3.90% 653 27 1735 2 0.001450667 0.352895884 0.165205865 18892.6836 5.40% 986 50 1736 1 0.001764498 0.215441782 0.219064235 17776.83352 3.50% 517 62 1737 2 0.00129757 0.240263098 0.256393359 17525.4792 5.10% 256 45 1738 2 0.000897485 0.319347958 0.273072661 17477.28349 3.50% 303 25 1739 0 0.000364639 0.744149834 0.278785219 17715.9168 4.20% 58 57 1740 1 0.000700334 0.581364162 0.179481606 10588.00958 6.50% 342 31 1741 0 0.006945255 0.079466593 0.126930675 13760.01979 4.10% 620 34 1742 1 0.000599472 0.393701156 0.288372159 22555.34179 4.10% 918 51 1743 1 0.000379791 0.635269474 0.272234779 18243.38922 5.60% 643 63 1744 0 0.000266311 0.853343942 0.285680683 9982.196274 3.80% 472 34 1745 2 0.000778347 0.359842288 0.215171334 16509.7084 3.60% 163 26 1746 2 0.001815102 0.205710033 0.161369298 19219.1379 4.70% 598 32 1747 1 0.00166388 0.19813092 0.180197231 11780.89989 6.90% 888 69 1748 2 0.000508027 0.6592454 0.168269047 10685.16583 3.50% 950 68 1749 2 0.004040335 0.068093974 0.200917739 10374.23405 5.40% 281 62 1750 1 0.000803272 0.229869738 0.29393786 14027.97814 5.10% 382 39 1751 2 0.000514537 0.428116964 0.244451731 9888.003885 6.10% 579 25 1752 1 0.00063896 0.58330311 0.136321417 22723.19544 6.40% 260 24 1753 1 0.001141218 0.17374819 0.249131057 14846.92234 3.70% 4 24 1754 1 0.000233542 0.833907232 0.212418587 22624.97527 3.80% 920 62 1755 2 0.00021334 0.666698288 0.288115624 21529.78891 4.90% 898 31 1756 2 0.000660684 0.474836984 0.124752497 22468.51434 4.90% 228 39 1757 1 0.007315348 0.02932177 0.182016355 6976.973976 3.90% 481 38 1758 2 0.000325745 0.533309852 0.223982407 8053.258606 3.90% 908 41 1759 2 0.000540051 0.26807417 0.241326571 13186.77452 6.60% 944 64 1760 0 0.000383169 0.340778103 0.260180948 14432.46108 6.40% 23 38 1761 2 0.018313189 0.00492044 0.364778392 21526.0543 4.10% 397 58 1762 2 0.001056881 0.118084944 0.237963921 13257.2616 5.20% 485 40 1763 0 0.001951494 0.056993294 0.21064276 19422.08011 2.40% 917 63 1764 2 0.000119107 0.58064797 0.264549302 20749.74299 4.90% 559 31 1765 1 0.000767261 0.128976549 0.100775237 8809.91384 3.80% 826 67 1766 2 0.000174108 0.200032442 0.277136966 10461.75571 3.80% 442 29 1767 2 0.000658156 0.053636207 0.240020972 18712.96238 2.80% 146 48 1768 1 4.36E-05 0.844259891 0.225226787 5320.721962 3.90% 525 30 1769 1 5.21E-05 0.530262795 0.282066259 14180.61843 4.30% 116 39 1770 0 4.44E-05 0.425522525 0.297286494 21869.86573 5.20% 996 61 1771 1 0.00062871 0.006425057 0.27529942 12145.12753 4.10% 685 46 1772 2 7.80E-06 0.539609869 0.18799427 5350.633447 5.10% 547 34 1773 1 6.46E-06 0.3679181 0.263729357 12033.19166 6.10%

1. Suppose if we send 1 mail, we will check what revenue we can generate from that, Basically what we are looking for is the expected values. So, we multiplied the various probabilities and at the end subtracted the cost for sending that mail. For the customers we get a positive figure, we would likely send a mail and for those who gets a negative revenue its futile sending a mail, as that wont generate revenues for us.

2. We are getting a profit a almost 521.17 and a ROI of 3%. We are adding the profits from only those people who are giving me a positive net revenue deducting the mailing expense. The ROI is calculated after dividing my total profit (521.17) with the investment incase I go ahead with this. THe sum of investments is basically the probabilities multuplied by the NEt FUnding given.

3. Total profit derived from lowest 10% is only 3.86 and the ROI is 0.64%

4. One of the key factor which I feel shoul be considered is the AGE factor, as funding might depend on AGE. A young people might need more funding cmpared to an aged person and viceversa.

5. If total profit is only 70% after my recommendation, the very first thing I would consider is the individual contribution of the people to the total revenue. Whosoever is not contributing much should be removed , and then the reasons should be analysed. Is it a seasonal effect or any particular factor has played in for the mishap. Try to go deep into the root cause nad analyse it.

6. New Catch phrases, innovative slogans which would attract the people. Less Paper, Faster Money. The less paper you use, the less time it takes to fund your money and thus rapid action of your business. Distribute pamphrets at critical junctions, targeting our people and online promotion. Referral bonus to people who bring in more customers, a dedicated salesforce which can alleviate our search process.

 exp_funded_amt exp_revenue Revenue expected if I send one Mail Expense Net Revenue Profit from Lowest 10% ROI 12890.56756 5.30% 0.50010660759255 0.5 0.00010660759255 65.3 3.35850958512884 0.64% 7643.695965 5.70% 0.50129556877279 0.5 0.00129556877279 12494.32804 5.30% 0.502219031975277 0.5 0.002219031975278 14638.38985 3.90% 0.503206877151847 0.5 0.003206877151847 14315.14388 2.70% 0.504574862538554 0.5 0.004574862538554 7646.510143 5.80% 0.51006584818868 0.5 0.01006584818868 20703.81209 4.70% 0.51035982977323 0.5 0.01035982977323 14701.79168 3.20% 0.513249441534647 0.5 0.013249441534647 27616.83065 4.80% 0.51478709365458 0.5 0.01478709365458 9490.062666 4.40% 0.516447276739542 0.5 0.016447276739542 13965.88029 6.60% 0.517046571014037 0.5 0.017046571014037 11291.70875 5.10% 0.517414594513721 0.5 0.017414594513721 9572.0993 3.40% 0.51801861403383 0.5 0.01801861403383 10211.53753 4.10% 0.519200289375831 0.5 0.019200289375831 7526.074293 5.30% 0.519989425893523 0.5 0.019989425893523 17915.78613 4.50% 0.520474439276804 0.5 0.020474439276804 15037.66292 4.30% 0.524410867122078 0.5 0.024410867122078 12016.78055 4.20% 0.524633117025893 0.5 0.024633117025893 9658.273903 3.50% 0.526012053832177 0.5 0.026012053832177 26877.50955 3.70% 0.526130125613374 0.5 0.026130125613374 14388.6788 3.60% 0.528329742779594 0.5 0.028329742779594 17440.26324 2.50% 0.529631635368039 0.5 0.029631635368039 14943.06805 3.70% 0.531060608643553 0.5 0.031060608643553 12278.69273 4.60% 0.531545645657879 0.5 0.031545645657879 12551.65852 4.80% 0.531794166093006 0.5 0.031794166093006 11662.47959 5.70% 0.532017588916526 0.5 0.032017588916526 14261.08145 4.40% 0.533648959488022 0.5 0.033648959488022 15004.77557 4.30% 0.53386116575821 0.5 0.03386116575821 20236.02166 4.10% 0.539268172447064 0.5 0.039268172447064 3637.968194 5.60% 0.54310904176608 0.5 0.043109041766081 16130.32268 4.60% 0.544639154532357 0.5 0.044639154532357 16015.43626 4.50% 0.547950721884631 0.5 0.047950721884631 10991.66964 4.40% 0.549185234481653 0.5 0.049185234481653 9679.439509 5.70% 0.557177168829672 0.5 0.057177168829673 12369.56729 5.80% 0.557981661781154 0.5 0.057981661781154 15314.21468 4.70% 0.560539975368937 0.5 0.060539975368937 12825.32668 4.20% 0.562109253180488 0.5 0.062109253180488 13824.58647 6.70% 0.565392001456495 0.5 0.065392001456495 15982.10365 6.50% 0.565704714729795 0.5 0.065704714729795 15263.11337 5.40% 0.566803895190154 0.5 0.066803895190154 15820.17737 4.20% 0.568675060836632 0.5 0.068675060836632 13166.4522 5.70% 0.568730234620158 0.5 0.068730234620159 21480.10498 5.30% 0.571045638481195 0.5 0.071045638481195 20161.35106 5.50% 0.571404635492509 0.5 0.071404635492509 13856.22007 4.60% 0.573420850269102 0.5 0.073420850269103 16298.31643 4.30% 0.57489494833821 0.5 0.07489494833821 15974.48128 5.40% 0.580701124298831 0.5 0.080701124298831 11016.08665 4.80% 0.581159535087748 0.5 0.081159535087749 15108.95322 6.60% 0.582591470513245 0.5 0.082591470513245 17174.16187 4.90% 0.583161362517266 0.5 0.083161362517266 8052.13639 5.70% 0.584548863480365 0.5 0.084548863480365 6487.030589 5.50% 0.587609392022228 0.5 0.087609392022228 18520.76387 4.80% 0.587854858793703 0.5 0.087854858793703 12398.15823 5.10% 0.58879041895921 0.5 0.08879041895921 10302.79664 4.00% 0.589705506856629 0.5 0.089705506856629 20176.61198 6.20% 0.589728897540848 0.5 0.089728897540848 11120.6609 6.20% 0.593987303470938 0.5 0.093987303470938 7133.755128 4.40% 0.59454214858798 0.5 0.09454214858798 11464.73296 7.20% 0.594552559339142 0.5 0.094552559339142 10706.03337 4.50% 0.595489999841059 0.5 0.095489999841059 8555.482543 4.90% 0.596425253427493 0.5 0.096425253427493 10949.28786 5.10% 0.598788258527309 0.5 0.098788258527309 9567.521554 4.00% 0.598975602108518 0.5 0.098975602108518 8616.905043 7.20% 0.599254115808141 0.5 0.099254115808141 19011.82319 3.70% 0.601078501934109 0.5 0.101078501934109 18065.43236 3.50% 0.602170313215937 0.5 0.102170313215937 9624.359835 7.00% 0.602465438916503 0.5 0.102465438916503 16182.71462 5.80% 0.602587213596222 0.5 0.102587213596222 17911.07745 5.40% 0.604765717611684 0.5 0.104765717611684 22062.2723 7.20% 0.605157459839329 0.5 0.105157459839329 13191.03049 4.70% 0.606907028228715 0.5 0.106907028228715 12384.09563 5.70% 0.61051451358812 0.5 0.11051451358812 13749.48202 3.40% 0.611163833526075 0.5 0.111163833526075 11871.28708 5.50% 0.611620171190326 0.5 0.111620171190326 19311.5103 4.20% 0.612048937977011 0.5 0.112048937977011 5236.770664 5.10% 0.612402330449734 0.5 0.112402330449734 13945.56166 3.30% 0.613059722347273 0.5 0.113059722347273 27341.72848 4.80% 0.613169029201 0.5 0.113169029201 13453.90249 4.30% 0.617570358948716 0.5 0.117570358948716 14960.01075 3.20% 0.618626311999732 0.5 0.118626311999732 22855.47632 4.70% 0.620312991228386 0.5 0.120312991228386 15851.02933 6.00% 0.622088347347489 0.5 0.122088347347489 23234.28407 3.80% 0.628404014271118 0.5 0.128404014271118 12834.61702 5.20% 0.629977833354459 0.5 0.129977833354459 23256.80111 7.10% 0.630391312288215 0.5 0.130391312288215 9375.87078 4.70% 0.632353591748657 0.5 0.132353591748657 14562.03662 7.30% 0.632453814698835 0.5 0.132453814698835 12810.49107 4.90% 0.632883572764292 0.5 0.132883572764292 32965.1753 6.30% 0.635375641645499 0.5 0.135375641645499 27307.02713 5.70% 0.635764853917559 0.5 0.135764853917559 10470.27688 6.40% 0.635897890777313 0.5 0.135897890777313 15607.97506 4.90% 0.638679710797919 0.5 0.138679710797919 18321.89904 5.50% 0.639392895990737 0.5 0.139392895990737 17447.244 4.20% 0.639525149152451 0.5 0.139525149152451 19081.24184 5.80% 0.639770864188063 0.5 0.139770864188063 15852.02384 4.10% 0.640022482905155 0.5 0.140022482905155 16831.93809 5.70% 0.641565289645623 0.5 0.141565289645623 7250.092416 4.30% 0.644720274828326 0.5 0.144720274828326 17894.16891 3.80% 0.647275629406735 0.5 0.147275629406735 18242.88029 4.60% 0.64869776321307 0.5 0.14869776321307 11998.49987 5.20% 0.649743995492422 0.5 0.149743995492422 19421.69867 5.80% 0.654546401531834 0.5 0.154546401531834 11246.19723 4.20% 0.6580008892023 0.5 0.1580008892023 8040.097375 4.20% 0.658777733265271 0.5 0.158777733265271 17470.36337 5.60% 0.659088235000083 0.5 0.159088235000083 9221.02389 4.70% 0.659227102848295 0.5 0.159227102848295 11017.88657 4.90% 0.660397310868033 0.5 0.160397310868033 25122.70388 5.90% 0.66120440266117 0.5 0.16120440266117 16472.74993 5.10% 0.661935742002597 0.5 0.161935742002597 15026.37957 4.90% 0.664422119190209 0.5 0.164422119190209 15060.39092 4.90% 0.66656614399353 0.5 0.16656614399353 13111.8584 3.30% 0.667167171419606 0.5 0.167167171419606 23350.07774 3.40% 0.667588287094767 0.5 0.167588287094766 15778.92649 5.70% 0.66763680958187 0.5 0.16763680958187 13608.96043 4.50% 0.667743649230316 0.5 0.167743649230316 15057.78884 3.70% 0.668085310632832 0.5 0.168085310632832 18782.80581 6.10% 0.670040947071702 0.5 0.170040947071702 15260.15055 6.20% 0.671261294749103 0.5 0.171261294749103 14999.16582 5.50% 0.672964643766736 0.5 0.172964643766736 18414.1803 5.40% 0.673928542594249 0.5 0.173928542594249 15797.54677 4.60% 0.673943558089748 0.5 0.173943558089748 16156.34613 3.10% 0.674319380034271 0.5 0.174319380034271 14640.11425 5.10% 0.675080579973305 0.5 0.175080579973306 18276.67076 3.90% 0.677518393308625 0.5 0.177518393308626 13945.0944 4.70% 0.678603814852464 0.5 0.178603814852464 17177.92434 3.30% 0.680302051051442 0.5 0.180302051051442 11541.15081 3.80% 0.683448554015482 0.5 0.183448554015482 12995.97094 4.30% 0.684812471388828 0.5 0.184812471388828 15937.84955 5.90% 0.685008878254954 0.5 0.185008878254954 12054.07428 3.60% 0.68618131057289 0.5 0.18618131057289 9766.797667 4.50% 0.687316348574976 0.5 0.187316348574976 19972.27699 5.00% 0.687826544036473 0.5 0.187826544036473 17598.38037 5.00% 0.690770053829886 0.5 0.190770053829886 19728.57935 3.40% 0.693374305286412 0.5 0.193374305286412 16654.98548 4.90% 0.698060801185517 0.5 0.198060801185517 9972.866832 7.30% 0.698611203591107 0.5 0.198611203591107 7948.003026 4.40% 0.698615727014169 0.5 0.198615727014169 13262.92765 4.80% 0.699112973441043 0.5 0.199112973441043 9164.265073 4.70% 0.699905541049548 0.5 0.199905541049548 6478.318231 7.80% 0.700756514778334 0.5 0.200756514778334 8651.59503 5.30% 0.70115624877554 0.5 0.201156248775539 13867.23645 3.30% 0.701485640213893 0.5 0.201485640213893 15968.65686 7.10% 0.704364152357064 0.5 0.204364152357064 10993.25598 4.00% 0.70464420001498 0.5 0.20464420001498 10915.06057 5.50% 0.706229020254508 0.5 0.206229020254508 21033.51866 6.40% 0.709807065632088 0.5 0.209807065632088 13485.06997 6.50% 0.71137613181839 0.5 0.21137613181839 14085.28541 4.80% 0.712619375080879 0.5 0.212619375080879 9799.102219 5.00% 0.712633278835616 0.5 0.212633278835616 14072.88673 4.40% 0.712755630523312 0.5 0.212755630523312 10176.82083 5.80% 0.71667814594763 0.5 0.21667814594763 9004.586252 5.30% 0.718198932230512 0.5 0.218198932230512 10068.72384 5.50% 0.723983643935125 0.5 0.223983643935125 19821.73526 3.50% 0.725090340934319 0.5 0.225090340934319 7350.619774 4.80% 0.725918527735771 0.5 0.225918527735771 11202.18891 6.70% 0.726925667781984 0.5 0.226925667781984 12409.87064 6.10% 0.730446036064417 0.5 0.230446036064417 22804.44924 6.90% 0.731635335417785 0.5 0.231635335417785 9527.498996 5.50% 0.731640183581444 0.5 0.231640183581444 11872.10283 6.00% 0.733239495730688 0.5 0.233239495730688 17792.46163 4.50% 0.733816775129997 0.5 0.233816775129997 15273.0818 4.60% 0.735125303339942 0.5 0.235125303339942 6621.80182 6.30% 0.738024410384043 0.5 0.238024410384043 14023.67433 4.10% 0.739484557697586 0.5 0.239484557697586 17942.35625 5.50% 0.740301216170124 0.5 0.240301216170124 17486.34541 4.30% 0.741190381336655 0.5 0.241190381336655 16172.02343 7.30% 0.747788370505638 0.5 0.247788370505638 13180.56381 5.50% 0.750065315840379 0.5 0.250065315840379 15724.59981 4.50% 0.751536041198425 0.5 0.251536041198425 15013.69396 4.60% 0.752943644632828 0.5 0.252943644632828 14619.12978 3.70% 0.753596984424572 0.5 0.253596984424572 12354.17441 4.30% 0.753797100126282 0.5 0.253797100126282 5948.339783 5.10% 0.754296578546018 0.5 0.254296578546018 14737.45887 4.50% 0.755332044577526 0.5 0.255332044577526 10606.16136 5.40% 0.756640136054663 0.5 0.256640136054663 16217.45893 5.80% 0.757798005194186 0.5 0.257798005194186 16329.25429 5.60% 0.757814522436505 0.5 0.257814522436504 19093.10348 4.00% 0.759612055950777 0.5 0.259612055950777 17142.74568 5.70% 0.759810251134259 0.5 0.259810251134259 22219.3008 5.60% 0.759880766944632 0.5 0.259880766944632 18486.42756 5.10% 0.761267866975032 0.5 0.261267866975032 9926.666368 6.20% 0.761377429755586 0.5 0.261377429755586 11991.02955 3.90% 0.764448557673902 0.5 0.264448557673902 16183.86195 7.00% 0.764746855703028 0.5 0.264746855703028 7168.516086 4.40% 0.765471943622986 0.5 0.265471943622986 16479.87655 4.20% 0.765930651871477 0.5 0.265930651871477 22460.26029 4.90% 0.768561308419513 0.5 0.268561308419513 14169.54613 4.90% 0.768961433461941 0.5 0.268961433461941 11773.20918 3.50% 0.771347682519988 0.5 0.271347682519988 15535.44341 5.60% 0.771570507220675 0.5 0.271570507220675 15976.78364 5.60% 0.773690002833584 0.5 0.273690002833584 24293.8135 4.60% 0.773991709015823 0.5 0.273991709015823 16857.0483 4.40% 0.774841815024272 0.5 0.274841815024272 11990.86375 5.60% 0.775463190131741 0.5 0.275463190131741 12453.43962 3.80% 0.776111139074933 0.5 0.276111139074933 12554.34987 5.30% 0.776556450057382 0.5 0.276556450057382 13443.13741 6.70% 0.780020470587328 0.5 0.280020470587328 13927.17136 4.10% 0.780141969013646 0.5 0.280141969013646 14179.52183 5.90% 0.780553408109149 0.5 0.280553408109149 7889.776597 5.50% 0.780768230385046 0.5 0.280768230385046 18238.65029 6.00% 0.786641450576744 0.5 0.286641450576744 8526.466605 4.40% 0.786865661417734 0.5 0.286865661417734 16328.76499 4.40% 0.788854610977993 0.5 0.288854610977993 15759.57383 3.60% 0.79457480707561 0.5 0.29457480707561 22069.20065 5.30% 0.794692346462892 0.5 0.294692346462892 12180.84785 5.90% 0.795624400773621 0.5 0.295624400773621 15652.66868 5.10% 0.795817066548496 0.5 0.295817066548496 25895.19523 4.40% 0.796444290517712 0.5 0.296444290517712 19483.10022 4.60% 0.7971490890412 0.5 0.297149089041199 13059.46415 4.10% 0.800662572903468 0.5 0.300662572903468 17350.53494 4.40% 0.803427935888649 0.5 0.303427935888649 15331.59545 2.80% 0.805110376153351 0.5 0.305110376153351 19755.2685 4.60% 0.805487111665474 0.5 0.305487111665474 14091.03315 3.50% 0.805597234252433 0.5 0.305597234252433 11177.26263 4.90% 0.807184733525744 0.5 0.307184733525744 16256.21822 5.60% 0.809099978982627 0.5 0.309099978982627 13556.9206 5.50% 0.809683452940431 0.5 0.309683452940431 9996.698286 5.70% 0.81452138300996 0.5 0.31452138300996 21305.80943 4.50% 0.814788661987544 0.5 0.314788661987544 15380.95312 4.50% 0.817503432738131 0.5 0.317503432738131 13917.85472 5.80% 0.819379962539634 0.5 0.319379962539634 22601.57442 3.80% 0.819424919157769 0.5 0.319424919157769 15410.95311 6.10% 0.822700654705168 0.5 0.322700654705168 18872.41359 5.20% 0.823211304072066 0.5 0.323211304072067 13989.55998 4.80% 0.82355542846969 0.5 0.32355542846969 19164.3835 6.00% 0.827460767438638 0.5 0.327460767438638 19988.18033 6.50% 0.829032958405336 0.5 0.329032958405336 8460.980711 4.90% 0.83400477694208 0.5 0.33400477694208 17441.33664 4.90% 0.836439374686225 0.5 0.336439374686225 16005.52151 5.10% 0.837386430227518 0.5 0.337386430227518 9715.425929 7.50% 0.843374394040638 0.5 0.343374394040638 12875.1287 3.50% 0.844078660750122 0.5 0.344078660750122 17459.81805 4.50% 0.8456647017918 0.5 0.3456647017918 14434.12243 5.60% 0.847001507795343 0.5 0.347001507795343 15360.47371 5.40% 0.847997984065204 0.5 0.347997984065204 11403.73763 5.00% 0.848000949686411 0.5 0.348000949686411 19882.06163 5.00% 0.848418380415523 0.5 0.348418380415523 18391.46916 5.40% 0.85039988223533 0.5 0.35039988223533 11898.88791 4.70% 0.850842177625458 0.5 0.350842177625458 20977.38101 6.70% 0.85294497495427 0.5 0.35294497495427 8289.254896 5.70% 0.854256583136404 0.5 0.354256583136404 13138.34513 6.50% 0.855655713656001 0.5 0.355655713656001 10323.10424 5.40% 0.855999555963265 0.5 0.355999555963265 11045.81083 5.50% 0.858955558306328 0.5 0.358955558306328 13530.74571 5.20% 0.859500584257423 0.5 0.359500584257423 20210.89644 4.80% 0.861211381598479 0.5 0.361211381598479 15916.46615 3.80% 0.866970999303046 0.5 0.366970999303046 15270.04363 4.80% 0.867922140229414 0.5 0.367922140229414 17290.23797 5.20% 0.868446444171436 0.5 0.368446444171436 19208.86102 3.40% 0.871184414659135 0.5 0.371184414659135 13449.11148 4.90% 0.879360939698187 0.5 0.379360939698187 14819.68791 5.80% 0.879587005599437 0.5 0.379587005599437 17017.36192 5.10% 0.880094614453471 0.5 0.380094614453471 9421.83288 4.10% 0.882840572533255 0.5 0.382840572533255 19489.76567 5.30% 0.886457085882918 0.5 0.386457085882918 16379.34101 6.10% 0.886850173432628 0.5 0.386850173432628 9470.142814 5.10% 0.8900010881746 0.5 0.3900010881746 17223.6218 6.30% 0.892793138075014 0.5 0.392793138075014 15577.28695 5.90% 0.894218830822338 0.5 0.394218830822338 14155.47389 5.40% 0.895106247806487 0.5 0.395106247806487 23139.44858 3.50% 0.896284098477813 0.5 0.396284098477813 13181.54317 6.00% 0.898397157886255 0.5 0.398397157886255 18938.01219 3.10% 0.89844179781665 0.5 0.39844179781665 9607.002632 4.10% 0.89988912708724 0.5 0.39988912708724 20985.02932 5.10% 0.900829692803668 0.5 0.400829692803668 18605.42279 5.30% 0.901509363872662 0.5 0.401509363872662 17755.0819 5.40% 0.906347612695178 0.5 0.406347612695178 13546.88986 4.00% 0.910695713375333 0.5 0.410695713375333 11603.24027 5.40% 0.91102610982677 0.5 0.41102610982677 13024.85724 4.20% 0.914273756074985 0.5 0.414273756074985 10608.45443 5.30% 0.924088456226491 0.5 0.424088456226491 13315.98569 5.00% 0.924291855163007 0.5 0.424291855163007 6270.998069 4.30% 0.928222824567597 0.5 0.428222824567597 18654.5325 5.50% 0.930041065138141 0.5 0.430041065138141 16901.70072 5.50% 0.931186676333136 0.5 0.431186676333136 15518.17101 4.80% 0.935627022340229 0.5 0.435627022340229 21634.54655 5.30% 0.938706929413111 0.5 0.438706929413111 19341.44158 4.50% 0.94014470512035 0.5 0.44014470512035 16994.69581 4.70% 0.941121202301867 0.5 0.441121202301867 11703.45304 4.80% 0.942352529612124 0.5 0.442352529612124 17655.37227 6.80% 0.944951402435639 0.5 0.444951402435639 13948.68465 5.50% 0.947421310005335 0.5 0.447421310005335 14285.26778 4.70% 0.949485512430715 0.5 0.449485512430715 16842.4525 5.00% 0.950422915739554 0.5 0.450422915739554 12969.66721 5.20% 0.951293047153544 0.5 0.451293047153544 16017.7506 6.00% 0.954312266942847 0.5 0.454312266942847 14091.81275 3.80% 0.957164498287557 0.5 0.457164498287557 20341.03787 5.30% 0.960427677534259 0.5 0.460427677534259 14890.71101 4.70% 0.961875448977192 0.5 0.461875448977192 13175.34119 4.10% 0.964068413730005 0.5 0.464068413730005 10109.89232 3.60% 0.964294296869919 0.5 0.464294296869919 18279.97395 5.20% 0.96723296986435 0.5 0.46723296986435 15002.61156 4.30% 0.967852954297185 0.5 0.467852954297185 13744.00969 4.60% 0.970310009028366 0.5 0.470310009028366 17999.79534 5.60% 0.970663003514767 0.5 0.470663003514767 15493.69736 5.10% 0.979054712742045 0.5 0.479054712742045 10736.52236 4.00% 0.979067828370903 0.5 0.479067828370903 10117.10387 5.60% 0.9838204906424 0.5 0.4838204906424 14848.79353 4.70% 0.983904497551725 0.5 0.483904497551725 14152.34714 3.50% 0.984192581204674 0.5 0.484192581204674 18176.07791 6.00% 0.98808709546085 0.5 0.48808709546085 14213.63845 6.00% 0.988943730203636 0.5 0.488943730203636 12428.05595 5.70% 0.989018150298679 0.5 0.489018150298679 16391.52778 5.00% 0.99073831383586 0.5 0.49073831383586 10687.93724 6.00% 0.991609170519567 0.5 0.491609170519567 21331.16103 5.40% 1.00052561120672 0.5 0.500525611206716 21958.315 5.30% 1.00683808468549 0.5 0.506838084685485 20961.82916 4.80% 1.00795536828564 0.5 0.507955368285638 15669.05079 3.80% 1.01010208375515 0.5 0.510102083755151 17592.82014 4.60% 1.01228993138988 0.5 0.512289931389876 22770.69279 3.70% 1.01521983749934 0.5 0.515219837499338 21232.58627 5.60% 1.01615752558045 0.5 0.51615752558045 15233.46115 3.30% 1.01801763325581 0.5 0.518017633255812 19335.76057 4.90% 1.02119780338445 0.5 0.52119780338445 21421.23911 5.10% 1.02459652215415 0.5 0.524596522154146 13874.36616 5.10% 1.02525828526326 0.5 0.525258285263263 28149.8984 3.50% 1.02570251246511 0.5 0.525702512465113 8012.716027 4.50% 1.0267655619914 0.5 0.526765561991395 8712.904275 3.60% 1.02898411604691 0.5 0.528984116046915 20794.36238 4.50% 1.02967034663267 0.5 0.529670346632667 16289.06934 5.70% 1.02967050931852 0.5 0.529670509318518 15294.19612 5.10% 1.03133268359519 0.5 0.531332683595192 14153.66117 4.10% 1.03444964566091 0.5 0.534449645660905 16860.54402 5.00% 1.03670737083619 0.5 0.536707370836191 12294.92919 5.60% 1.03823511968895 0.5 0.538235119688951 20485.87614 6.20% 1.0431927458884 0.5 0.543192745888395 16832.86614 5.20% 1.04418356628809 0.5 0.544183566288092 21104.75569 4.50% 1.04869460715583 0.5 0.548694607155825 15984.62681 4.80% 1.0498154601725 0.5 0.549815460172504 10463.52806 6.60% 1.05991637777986 0.5 0.559916377779855 16502.45272 5.10% 1.05993137095671 0.5 0.559931370956712