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?

Tasks and questions:

(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%

ANSWER

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
10457.17177	2.70%	1.06280866272555	0.5	0.56280866272555
17054.36069	6.90%	1.0738432092223	0.5	0.573843209222298
20391.48209	5.30%	1.07542595143369	0.5	0.575425951433688
22607.17705	4.10%	1.07562487007626	0.5	0.575624870076263
15055.71958	5.60%	1.07756725125812	0.5	0.577567251258124
6834.14966	5.80%	1.08776499718905	0.5	0.587764997189052
14556.10985	5.60%	1.08808815349207	0.5	0.588088153492069
22801.80609	6.10%	1.08946144786934	0.5	0.589461447869341
14563.04697	4.00%	1.09082990961378	0.5	0.590829909613777
15152.93485	5.30%	1.09195540114605	0.5	0.59195540114605
13281.97092	3.80%	1.09539687799444	0.5	0.595396877994441
19519.14508	5.30%	1.10239100492798	0.5	0.602391004927982
9751.361043	5.10%	1.1052276713627	0.5	0.605227671362701
14991.02625	5.20%	1.10975321871049	0.5	0.609753218710485
11471.7715	6.00%	1.11012971132539	0.5	0.610129711325393
8912.622879	5.20%	1.11206204987168	0.5	0.612062049871678
16345.38229	5.40%	1.11508349116211	0.5	0.61508349116211
21908.17958	5.10%	1.11560066526279	0.5	0.615600665262786
10642.41346	4.50%	1.11813278938289	0.5	0.618132789382889
18330.12074	3.20%	1.12126687250421	0.5	0.621266872504213
14054.57695	5.00%	1.12400020924799	0.5	0.624000209247994
17855.2729	4.50%	1.12583382779506	0.5	0.625833827795059
20897.54824	4.80%	1.13368327527555	0.5	0.633683275275554
17394.41178	5.30%	1.13592920992991	0.5	0.635929209929905
21261.88538	5.70%	1.1408954532078	0.5	0.640895453207801
23503.28627	5.70%	1.14378171369018	0.5	0.64378171369018
15006.52449	5.10%	1.14435522347666	0.5	0.644355223476659
18832.25842	3.80%	1.15199636493072	0.5	0.651996364930725
17794.90571	4.70%	1.15273830504635	0.5	0.652738305046348
16272.48674	4.30%	1.1652533762086	0.5	0.665253376208595
11760.3875	5.60%	1.17071400044908	0.5	0.67071400044908
13620.09248	5.30%	1.17277902538256	0.5	0.672779025382555
17242.14622	5.10%	1.17532836973765	0.5	0.675328369737652
20818.67566	4.50%	1.17758836022625	0.5	0.677588360226253
23069.43147	3.10%	1.18007334711259	0.5	0.680073347112593
12896.06914	5.50%	1.18266983971443	0.5	0.682669839714426
13085.45873	4.90%	1.18512575006108	0.5	0.685125750061085
14903.52894	4.60%	1.1885250451633	0.5	0.688525045163297
16448.82375	5.60%	1.19155560458831	0.5	0.691555604588308
10317.44295	5.50%	1.19524988829731	0.5	0.695249888297305
18034.19435	6.00%	1.1992178803964	0.5	0.699217880396399
16043.34547	6.80%	1.20667070907564	0.5	0.706670709075639
7424.971667	4.90%	1.21014538966491	0.5	0.710145389664911
16133.52542	4.90%	1.21159950311728	0.5	0.711599503117277
19329.32621	4.30%	1.2132764939272	0.5	0.713276493927198
13989.28597	4.60%	1.21715454258954	0.5	0.71715454258954
19397.88525	3.70%	1.22790584606296	0.5	0.727905846062963
13765.12722	6.20%	1.22896556663108	0.5	0.728965566631077
17094.89056	5.50%	1.23020793274431	0.5	0.730207932744306
10109.84683	4.70%	1.23049163458916	0.5	0.73049163458916
16235.64709	4.30%	1.23096419242243	0.5	0.73096419242243
15920.90304	5.70%	1.23194538797442	0.5	0.731945387974419
14999.3376	6.40%	1.23411926675147	0.5	0.734119266751471
11275.58638	4.30%	1.23412605119101	0.5	0.734126051191012
18777.6979	5.00%	1.23639032549759	0.5	0.736390325497589
19067.86757	6.00%	1.23826920698524	0.5	0.738269206985238
12229.08227	5.20%	1.23921400568347	0.5	0.739214005683469
14582.32969	5.70%	1.23944098340764	0.5	0.739440983407639
14458.08365	5.40%	1.23982188583546	0.5	0.73982188583546
11955.09489	6.10%	1.24134622166464	0.5	0.741346221664641
16706.5365	3.40%	1.24538782352388	0.5	0.745387823523884
14625.98774	4.20%	1.24746227540459	0.5	0.747462275404589
19878.23362	4.80%	1.25048775239832	0.5	0.750487752398323
16101.95379	3.90%	1.25223093942824	0.5	0.752230939428244
23312.29717	5.20%	1.26311734428729	0.5	0.763117344287294
14091.61622	5.90%	1.27576906584693	0.5	0.775769065846927
13584.36177	4.80%	1.28105377360152	0.5	0.781053773601519
20611.33776	4.60%	1.28363745743201	0.5	0.78363745743201
20027.62758	3.70%	1.28465769069351	0.5	0.784657690693507
14400.19259	3.60%	1.28488989683877	0.5	0.784889896838769
13079.47721	6.60%	1.2857825764913	0.5	0.785782576491295
19759.18806	3.60%	1.29469638335053	0.5	0.794696383350535
17232.10219	5.40%	1.2947009395449	0.5	0.7947009395449
15194.64282	5.70%	1.30200891652655	0.5	0.802008916526545
10232.88715	5.40%	1.30523471002096	0.5	0.805234710020958
13932.67584	5.30%	1.30601406547051	0.5	0.806014065470508
17945.75633	6.50%	1.30643132762948	0.5	0.806431327629478
21595.29357	3.80%	1.31279822491467	0.5	0.81279822491467
16298.64703	7.10%	1.3144826927418	0.5	0.814482692741802
18204.49719	6.30%	1.31524114689192	0.5	0.815241146891921
9024.257686	7.80%	1.31982505408029	0.5	0.819825054080291
13323.08563	4.70%	1.32005797455702	0.5	0.820057974557023
12387.36053	5.70%	1.3223757339662	0.5	0.822375733966204
13145.19398	5.90%	1.32428065678032	0.5	0.82428065678032
20997.63484	4.90%	1.32743051824823	0.5	0.827430518248233
15495.74947	5.10%	1.33089521693673	0.5	0.830895216936725
26205.48574	4.10%	1.33332133824499	0.5	0.833321338244991
16197.13687	6.20%	1.33511766576246	0.5	0.83511766576246
20661.13051	5.50%	1.33664963064867	0.5	0.836649630648669
20242.97079	4.40%	1.33671547441237	0.5	0.836715474412366
17850.15103	6.00%	1.34702513724699	0.5	0.847025137246987
16503.28854	4.30%	1.36440408393306	0.5	0.864404083933055
19368.04503	4.50%	1.36493150297194	0.5	0.864931502971937
21031.96959	4.10%	1.3659935581393	0.5	0.865993558139296
13288.38504	5.50%	1.36619807244216	0.5	0.866198072442156
19490.48614	5.70%	1.37192359943983	0.5	0.871923599439825
12304.26591	6.10%	1.37296180123342	0.5	0.872961801233417
11078.38703	6.50%	1.37350454881223	0.5	0.873504548812228
14389.34829	6.60%	1.37975308835506	0.5	0.879753088355065
14534.05084	5.10%	1.39147666636887	0.5	0.891476666368869
22847.42823	5.50%	1.39319014544052	0.5	0.893190145440524
17816.68806	5.60%	1.4015433970795	0.5	0.901543397079497
13157.76547	5.20%	1.40837881630792	0.5	0.908378816307921
24938.69552	4.20%	1.40972977962562	0.5	0.909729779625622
21307.56517	5.10%	1.40999660525966	0.5	0.909996605259655
21165.689	4.00%	1.41541484103079	0.5	0.915414841030793
26614.71681	5.00%	1.42019345774185	0.5	0.920193457741849
13731.25629	6.00%	1.42425143948382	0.5	0.924251439483816
17594.8407	4.20%	1.43072058075295	0.5	0.930720580752954
11477.6109	4.50%	1.43199498372083	0.5	0.931994983720829
9147.6039	4.00%	1.43384702045408	0.5	0.933847020454079
19433.17348	4.20%	1.43566098903802	0.5	0.935660989038021
15113.07458	4.10%	1.43809313935846	0.5	0.93809313935846
23482.57627	4.10%	1.44173154719831	0.5	0.941731547198308
14046.27312	7.50%	1.44970255456403	0.5	0.949702554564029
17803.34348	5.70%	1.45134833851344	0.5	0.951348338513438
11615.96263	4.80%	1.45891775005584	0.5	0.958917750055842
7827.611125	5.30%	1.4699247324941	0.5	0.9699247324941
17592.5264	5.60%	1.47300425692668	0.5	0.973004256926677
11665.37901	5.80%	1.48183068106707	0.5	0.981830681067071
16188.36694	6.20%	1.48315142973449	0.5	0.983151429734488
15442.35779	4.60%	1.49014952257936	0.5	0.990149522579359
23271.99463	4.40%	1.50055709834694	0.5	1.00055709834694
19211.45284	4.50%	1.50594215270539	0.5	1.00594215270539
16186.33687	4.30%	1.51268911983398	0.5	1.01268911983398
25348.67681	5.20%	1.5140213356815	0.5	1.0140213356815
16837.37914	5.30%	1.51641037478577	0.5	1.01641037478577
17172.16532	4.50%	1.52874558224044	0.5	1.02874558224044
16301.35759	6.70%	1.53199974441051	0.5	1.03199974441051
14965.41153	4.70%	1.53253564644405	0.5	1.03253564644405
16390.8445	5.20%	1.53987996685141	0.5	1.03987996685141
17579.73647	5.80%	1.54150855440041	0.5	1.04150855440041
16916.92655	5.00%	1.54384059669237	0.5	1.04384059669237
18645.79981	4.60%	1.54458325387474	0.5	1.04458325387474
17286.95368	2.80%	1.54477908875429	0.5	1.04477908875429
14111.68794	5.30%	1.54491352007916	0.5	1.04491352007916
29513.01907	5.60%	1.54577273122907	0.5	1.04577273122907
11538.91621	6.30%	1.54781780375577	0.5	1.04781780375577
18074.72305	5.40%	1.54952308452216	0.5	1.04952308452216
14602.37968	4.70%	1.5514893364914	0.5	1.0514893364914
15000.12883	3.30%	1.55268379367609	0.5	1.05268379367609
16744.14914	6.50%	1.55612106395623	0.5	1.05612106395623
17035.35791	4.60%	1.56283544681463	0.5	1.06283544681463
13809.37329	5.00%	1.56427729374256	0.5	1.06427729374256
15773.60454	4.70%	1.56945006927351	0.5	1.06945006927351
17697.7332	4.50%	1.57048096726162	0.5	1.07048096726162
19825.38988	4.00%	1.57211006847585	0.5	1.07211006847585
15586.83386	6.00%	1.58097234554536	0.5	1.08097234554536
16016.92316	5.20%	1.58442806735395	0.5	1.08442806735395
18110.56692	6.20%	1.58447050939716	0.5	1.08447050939716
11012.82704	6.00%	1.58720620440713	0.5	1.08720620440713
17198.95969	6.50%	1.59265984516108	0.5	1.09265984516108
23421.01896	6.40%	1.60174116103334	0.5	1.10174116103334
16392.7962	6.50%	1.60595548096541	0.5	1.10595548096541
16027.93119	4.10%	1.60976785716948	0.5	1.10976785716948
11576.47453	5.20%	1.64301556788421	0.5	1.14301556788421
19384.77737	5.30%	1.64889808517077	0.5	1.14889808517077
18794.36369	6.70%	1.64944210924717	0.5	1.14944210924717
13834.26794	7.50%	1.6556597003487	0.5	1.1556597003487
19668.20586	3.80%	1.65800610259374	0.5	1.15800610259374
14758.61762	5.70%	1.65825462520518	0.5	1.15825462520518
19422.72677	4.50%	1.66382401896326	0.5	1.16382401896326
17444.01619	6.30%	1.6668564564716	0.5	1.1668564564716
14783.15579	5.10%	1.6729478461491	0.5	1.1729478461491
15391.66639	4.70%	1.68120002224369	0.5	1.18120002224369
16492.7922	6.20%	1.68128199471237	0.5	1.18128199471237
22943.32963	5.40%	1.68823438673067	0.5	1.18823438673067
13659.30118	6.40%	1.69892471134287	0.5	1.19892471134287
17364.5342	4.60%	1.70588581902166	0.5	1.20588581902166
15791.3029	8.20%	1.70969319787458	0.5	1.20969319787458
21614.42997	6.00%	1.71845358655333	0.5	1.21845358655333
12337.50216	8.50%	1.71869257667592	0.5	1.21869257667592
16245.85978	4.90%	1.72578652078445	0.5	1.22578652078445
21351.24536	4.90%	1.73464234095623	0.5	1.23464234095623
20348.17017	4.80%	1.73493767324611	0.5	1.23493767324611
20905.32156	4.20%	1.74052892921761	0.5	1.24052892921761
23386.17683	4.70%	1.74430082576129	0.5	1.24430082576129
16953.19304	5.70%	1.74548326062509	0.5	1.24548326062509
11017.56581	5.80%	1.74894025842329	0.5	1.24894025842329
21660.96428	4.90%	1.75177068340836	0.5	1.25177068340836
10273.09051	5.20%	1.75271777132223	0.5	1.25271777132223
16806.37585	4.40%	1.75612893697538	0.5	1.25612893697538
24152.34372	3.60%	1.7746972651099	0.5	1.2746972651099
14681.56304	5.00%	1.77502413832513	0.5	1.27502413832513
16808.22161	4.90%	1.77750106789098	0.5	1.27750106789098
18840.56868	4.90%	1.799347119471	0.5	1.299347119471
16303.95817	4.40%	1.80156797303625	0.5	1.30156797303625
16574.95952	4.30%	1.80293606167635	0.5	1.30293606167635
19007.89169	5.80%	1.80397763800344	0.5	1.30397763800344
21552.32004	4.90%	1.81448463414349	0.5	1.31448463414349
13341.54037	7.90%	1.81667612862377	0.5	1.31667612862377
16335.34121	4.80%	1.8409203196632	0.5	1.3409203196632
11444.40803	5.80%	1.85012854420307	0.5	1.35012854420307
16561.41687	6.20%	1.85131795303911	0.5	1.35131795303911
25036.89534	5.10%	1.85173518526438	0.5	1.35173518526438
20112.60063	4.70%	1.85494730979005	0.5	1.35494730979005
20544.48483	3.90%	1.85698714021044	0.5	1.35698714021044
17380.45872	5.90%	1.85974382505963	0.5	1.35974382505963
18072.18841	5.30%	1.86482753601225	0.5	1.36482753601225
15915.92135	5.60%	1.86727253837181	0.5	1.36727253837181
19675.66212	5.40%	1.88901962478125	0.5	1.38901962478125
14507.58032	4.90%	1.89385489078083	0.5	1.39385489078083
18953.51852	5.20%	1.89757772378114	0.5	1.39757772378114
16843.41443	4.40%	1.91756174633985	0.5	1.41756174633985
14341.97626	5.20%	1.91767686580597	0.5	1.41767686580597
16342.31416	5.60%	1.92161667277021	0.5	1.42161667277021
11527.16398	5.10%	1.92307176128103	0.5	1.42307176128103
20505.85203	5.00%	1.93529306970762	0.5	1.43529306970762
23629.67625	5.50%	1.93741834239161	0.5	1.43741834239161
21511.25441	6.10%	1.94001047092624	0.5	1.44001047092624
16931.2395	4.70%	1.94915073210205	0.5	1.44915073210205
25048.16851	3.80%	1.95336951281162	0.5	1.45336951281162
12760.31313	7.00%	1.9563157216096	0.5	1.4563157216096
9066.156288	5.90%	1.95867956353428	0.5	1.45867956353428
18805.6661	4.40%	1.96318172238518	0.5	1.46318172238518
16393.80751	5.80%	1.96360102338502	0.5	1.46360102338502
21921.56158	5.90%	1.98303425662518	0.5	1.48303425662518
19075.80973	5.10%	1.99151199383036	0.5	1.49151199383036
14400.29294	6.40%	1.99579584072948	0.5	1.49579584072948
18698.57994	4.90%	2.01349982325755	0.5	1.51349982325755
20465.95574	5.10%	2.03601604869904	0.5	1.53601604869904
13596.78234	5.00%	2.04301569252538	0.5	1.54301569252538
16683.54675	5.50%	2.04332438076917	0.5	1.54332438076917
22766.26416	6.40%	2.0606294446887	0.5	1.5606294446887
23065.72711	4.40%	2.07397413359952	0.5	1.57397413359952
13418.8592	5.80%	2.07937453986711	0.5	1.57937453986711
18078.79125	4.60%	2.08541295641748	0.5	1.58541295641748
16298.84125	4.60%	2.11513868305207	0.5	1.61513868305207
16687.87948	5.40%	2.12377552724999	0.5	1.62377552724999
18259.16699	5.00%	2.1310396327754	0.5	1.6310396327754
18892.86656	4.60%	2.13193291605695	0.5	1.63193291605695
22742.91929	5.30%	2.13607874132472	0.5	1.63607874132472
15303.19841	4.70%	2.140684437293	0.5	1.640684437293
22778.6728	5.20%	2.14211152522419	0.5	1.64211152522419
17021.01537	5.00%	2.14859706206116	0.5	1.64859706206116
14806.68332	5.80%	2.17329044794753	0.5	1.67329044794753
28590.72085	4.90%	2.17480766450173	0.5	1.67480766450173
15942.89022	4.60%	2.18995446014345	0.5	1.68995446014345
14353.25752	6.10%	2.19647351331001	0.5	1.69647351331001
19479.30863	5.90%	2.19946023140709	0.5	1.69946023140709
22023.95326	5.60%	2.22137390810697	0.5	1.72137390810697
18470.88289	4.40%	2.22454149108642	0.5	1.72454149108642
16084.79679	6.80%	2.23668242243318	0.5	1.73668242243318
28827.26316	6.50%	2.2383078348866	0.5	1.7383078348866
21813.50321	5.20%	2.23981461514759	0.5	1.73981461514759
24181.62854	4.70%	2.24375644168159	0.5	1.74375644168159
20751.52509	6.20%	2.26409366292497	0.5	1.76409366292497
25385.31918	6.10%	2.27234855287776	0.5	1.77234855287776
15392.59436	5.10%	2.2838709365679	0.5	1.7838709365679
22903.98648	5.30%	2.2839516904404	0.5	1.7839516904404
16430.60838	5.60%	2.29253751731688	0.5	1.79253751731688
22831.06292	5.40%	2.29569462548036	0.5	1.79569462548036
9323.363168	6.40%	2.32400791441948	0.5	1.82400791441948
20697.45583	5.50%	2.32638788609061	0.5	1.82638788609061
16075.00432	4.30%	2.34306597489661	0.5	1.84306597489661
17155.39374	6.90%	2.34866055075635	0.5	1.84866055075635
20358.15254	7.70%	2.35201098010207	0.5	1.85201098010207
14440.91675	4.40%	2.35971407695028	0.5	1.85971407695028
22812.42137	5.30%	2.36146728884809	0.5	1.86146728884809
22870.98424	5.90%	2.36150720313741	0.5	1.86150720313741
8788.524131	5.40%	2.37000122185037	0.5	1.87000122185037
19050.77183	5.10%	2.37917043745639	0.5	1.87917043745639
18835.47503	5.00%	2.38145359616105	0.5	1.88145359616105
13061.5117	6.70%	2.39476500220021	0.5	1.89476500220021
10767.2265	6.30%	2.40983331874994	0.5	1.90983331874994
17159.19268	4.60%	2.41147086510826	0.5	1.91147086510826
18834.09206	5.40%	2.42448228855049	0.5	1.92448228855049
17372.90223	5.50%	2.42817490733154	0.5	1.92817490733154
16223.07524	5.60%	2.43362037091735	0.5	1.93362037091735
18803.88359	5.60%	2.45345097578974	0.5	1.95345097578974
19197.6732	4.60%	2.45492805723846	0.5	1.95492805723846
17305.30547	6.00%	2.4573619395451	0.5	1.9573619395451
21251.6304	5.60%	2.46244585282023	0.5	1.96244585282023
20509.38938	3.90%	2.48083483538187	0.5	1.98083483538188
20628.07398	4.30%	2.52497455272566	0.5	2.02497455272566
17568.15	5.30%	2.52874084749832	0.5	2.02874084749832
13466.42394	4.00%	2.53459717539703	0.5	2.03459717539703
27653.19321	3.10%	2.54050834229943	0.5	2.04050834229943
26400.00272	5.50%	2.54178505838142	0.5	2.04178505838142
13483.26737	5.00%	2.55254436868827	0.5	2.05254436868827
21378.83271	4.60%	2.56621772497481	0.5	2.06621772497481
22946.48231	4.50%	2.56660593663786	0.5	2.06660593663786
18480.75868	5.00%	2.57156138900442	0.5	2.07156138900442
19851.35026	6.30%	2.594095650181	0.5	2.094095650181
16709.05202	4.20%	2.66290269925287	0.5	2.16290269925287
19421.89518	4.90%	2.67948516283426	0.5	2.17948516283426
15391.83487	5.90%	2.69376397181646	0.5	2.19376397181646
20700.22058	6.00%	2.78564605695052	0.5	2.28564605695052
16054.58697	5.50%	2.80768434296829	0.5	2.30768434296829
17292.69448	5.70%	2.83011561683354	0.5	2.33011561683354
21966.0202	4.80%	2.84821483038706	0.5	2.34821483038706
25722.24769	5.50%	2.86381399551819	0.5	2.36381399551819
22292.25896	5.50%	2.88277722542836	0.5	2.38277722542836
14021.37606	6.90%	2.90785216794128	0.5	2.40785216794128
19739.63451	6.80%	2.91415049012682	0.5	2.41415049012682
14339.28156	5.90%	2.93900797585805	0.5	2.43900797585805
16764.77441	5.80%	2.94063327321547	0.5	2.44063327321547
17740.65576	5.40%	2.94204405830307	0.5	2.44204405830307
17917.45959	6.10%	2.99813780436775	0.5	2.49813780436775
20275.95339	4.70%	3.05923399109424	0.5	2.55923399109424
18894.20621	6.60%	3.14433655016926	0.5	2.64433655016926
17434.2855	7.60%	3.16663731955468	0.5	2.66663731955468
20475.16821	5.50%	3.21825087170153	0.5	2.71825087170153
18097.83497	6.90%	3.32976822381627	0.5	2.82976822381627
16424.15538	5.30%	3.35179326153669	0.5	2.85179326153669
20392.14044	5.20%	3.35528428638707	0.5	2.85528428638707
20741.59457	5.20%	3.38361621703008	0.5	2.88361621703008
20333.44784	6.10%	3.3916187603237	0.5	2.8916187603237
14951.09605	6.20%	3.42460889898589	0.5	2.92460889898589
20695.42993	5.40%	3.60144941701366	0.5	3.10144941701366
21646.72908	4.80%	3.64756178200172	0.5	3.14756178200172
22381.13412	4.70%	3.68441963031789	0.5	3.18441963031789
22987.45245	5.10%	3.83120843989311	0.5	3.33120843989311
20710.81509	4.70%	3.89925600543966	0.5	3.39925600543966
18074.73335	6.70%	3.9478453615198	0.5	3.4478453615198
20933.26197	5.20%	4.07830695227699	0.5	3.57830695227699
20475.46254	4.40%	4.35596780871536	0.5	3.85596780871536
23590.10847	5.30%	4.4095913246894	0.5	3.9095913246894
29136.5028	4.60%	4.83006595587392	0.5	4.33006595587392
15191.62612	7.00%	4.93217036857574	0.5	4.43217036857574
22718.64896	4.50%	6.46071322587731	0.5	5.96071322587731

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