org.impotch.calcul.impot.cantonal.ge.pp.avant2010.BaremePrestationCapital2009Test.java Source code

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/**
 * This file is part of impotch/calcul.
 *
 * impotch/calcul is free software: you can redistribute it and/or modify
 * it under the terms of the GNU General Public License as published by
 * the Free Software Foundation, either version 3 of the License.
 *
 * impotch/calcul is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.
 *
 * You should have received a copy of the GNU General Public License
 * along with impotch/calcul.  If not, see <http://www.gnu.org/licenses/>.
 */
package org.impotch.calcul.impot.cantonal.ge.pp.avant2010;

import java.math.BigDecimal;

import javax.annotation.Resource;

import org.junit.Before;
import org.junit.Test;
import org.junit.runner.RunWith;
import org.impotch.calcul.impot.ProducteurImpotDerivePourcent;
import org.springframework.test.context.ContextConfiguration;
import org.springframework.test.context.TestExecutionListeners;
import org.springframework.test.context.junit4.SpringJUnit4ClassRunner;

import org.impotch.calcul.impot.taxation.pp.ProducteurImpotBaseProgressif;
import org.impotch.calcul.impot.cantonal.ge.pp.FournisseurRegleImpotCantonalGE;
import org.impotch.calcul.impot.taxation.pp.FournisseurAssiettePeriodique;
import org.impotch.calcul.impot.taxation.pp.ProducteurImpot;
import org.impotch.calcul.impot.taxation.pp.RecepteurImpotSomme;
import org.impotch.calcul.impot.taxation.pp.RecepteurMultipleImpot;
import org.impotch.calcul.impot.taxation.pp.RecepteurUniqueImpot;
import org.impotch.calcul.util.ExplicationDetailleTexteBuilder;
import org.impotch.calcul.util.IExplicationDetailleeBuilder;
import org.impotch.util.TypeArrondi;
import org.springframework.test.context.support.DependencyInjectionTestExecutionListener;

import static org.junit.Assert.*;

/**
 * @author <a href="mailto:patrick.giroud@etat.ge.ch">Patrick Giroud</a>
 *
 */
@RunWith(SpringJUnit4ClassRunner.class)
@ContextConfiguration(locations = { "/beansCH_GE.xml", "/beansAssurancesSociales.xml" })
@TestExecutionListeners(DependencyInjectionTestExecutionListener.class)
public class BaremePrestationCapital2009Test extends ProducteurImpotGEAvant2010 {

    @Resource(name = "fournisseurRegleImpotCantonalGE")
    private FournisseurRegleImpotCantonalGE fournisseur;

    private ProducteurImpot producteur2009;
    private SituationFamilialeGE situationCelibataire;
    private BigDecimal deltaSurMontantImpotCalcule;

    private IExplicationDetailleeBuilder getNewExplicationBuilder() {
        return new ExplicationDetailleTexteBuilder();
    }

    @Before
    public void init() throws Exception {
        ProducteurImpotBaseProgressif producteurImpotBase = new ProducteurImpotBaseProgressif();
        producteurImpotBase.setBareme(fournisseur.getBaremeRevenu(2009));

        producteurImpotBase.setTypeArrondiImposable(TypeArrondi.FRANC);
        producteurImpotBase.setTypeArrondiDeterminant(TypeArrondi.FRANC);
        producteurImpotBase.setTypeArrondiImpot(TypeArrondi.CINQ_CTS);

        ProducteurImpot producteur;
        String codeBeneficiaire = "CAN-GE";
        producteur = new ProducteurImpot("IBR", codeBeneficiaire) {
            @Override
            protected IExplicationDetailleeBuilder createExplicationBuilder() {
                return getNewExplicationBuilder();
            }
        };
        producteur.setProducteurBase(producteurImpotBase);

        IExplicationDetailleeBuilder explication = getNewExplicationBuilder();
        explication.ajouter("Rduction de {1,number,percent} sur impt de base sur revenu {0,number,#,##0.00}");
        explication.ajouter("{2,number,#,##0.00}");
        ProducteurImpotDerivePourcent prodRIBR = new ProducteurImpotDerivePourcent("RIBR", "-12 %",
                codeBeneficiaire);
        prodRIBR.setExplicationDetailleePattern(explication.getTexte());
        producteur.ajouteProducteurDerive(prodRIBR);

        explication.reset();
        explication
                .ajouter("Rduction de {1,number,percent} sur cts add. cantonaux sur revenu {0,number,#,##0.00}");
        explication.ajouter("{2,number,#,##0.00}");
        ProducteurImpotDerivePourcent prodRCAR = new ProducteurImpotDerivePourcent("RCAR", "-12 %",
                codeBeneficiaire);
        prodRCAR.setExplicationDetailleePattern(explication.getTexte());

        explication.reset();
        explication.ajouter("CA Revenu :");
        explication.ajouter("Total impt de base revenu ({0,number,#,##0.00}) * {1,number,percent}");
        explication.ajouter("{2,number,#,##0.00}");
        ProducteurImpotDerivePourcent ctsAddCantonaux = new ProducteurImpotDerivePourcent("CAR", "47.5 %",
                codeBeneficiaire);
        ctsAddCantonaux.setProducteurDerive(prodRCAR);
        ctsAddCantonaux.setExplicationDetailleePattern(explication.getTexte());
        producteur.ajouteProducteurDerive(ctsAddCantonaux);

        explication.reset();
        explication.ajouter("CA Aide  domicile Revenu :");
        explication.ajouter("Total impt de base revenu ({0,number,#,##0.00}) * {1,number,percent}");
        explication.ajouter("{2,number,#,##0.00}");
        ProducteurImpotDerivePourcent prodADR = new ProducteurImpotDerivePourcent("ADR", "1 %", codeBeneficiaire);
        prodADR.setExplicationDetailleePattern(explication.getTexte());
        producteur.ajouteProducteurDerive(prodADR);

        ProducteurImpotDerivePourcent prodCOR = new ProducteurImpotDerivePourcent("COR", "44.5 %", "COM");

        explication = getNewExplicationBuilder();
        explication.ajouter("Cts additionnels communaux :");
        explication.ajouter("impt de base revenu ({0,number,#,##0.00}) * {1,number,percent}");
        explication.ajouter("{2,number,#,##0.00}");
        prodCOR.setExplicationDetailleePattern(explication.getTexte());
        producteur.ajouteProducteurDerive(prodCOR);

        producteur2009 = producteur;
        situationCelibataire = (SituationFamilialeGE) creerSituationCelibataireSansEnfant();

        deltaSurMontantImpotCalcule = new BigDecimal("0.10");
    }

    private RecepteurMultipleImpot recepteur(String... codesImpot) {
        RecepteurMultipleImpot recepteur = new RecepteurMultipleImpot();
        for (String code : codesImpot) {
            recepteur.ajouteRecepteur(code, new RecepteurUniqueImpot(code));
        }
        recepteur.ajouteRecepteur("TOTAL", new RecepteurImpotSomme());
        return recepteur;
    }

    private BigDecimal getValeur(RecepteurMultipleImpot recepteur, String code) {
        if ("TOTAL".equals(code)) {
            return ((RecepteurImpotSomme) recepteur.getRecepteur(code)).getValeur();
        } else {
            return ((RecepteurUniqueImpot) recepteur.getRecepteur(code)).getValeur().getMontant();
        }
    }

    private void test(int revenu, String tauxEnPourcent) {
        RecepteurMultipleImpot recepteur = recepteur("IBR", "RIBR", "CAR", "RCAR", "ADR", "COR");
        FournisseurAssiettePeriodique fournisseur = this.creerAssiettes(2009, revenu);
        producteur2009.produireImpot(situationCelibataire, fournisseur, recepteur);

        BigDecimal valeurImpot = getValeur(recepteur, "TOTAL");

        // On prend les bornes Sup et Inf
        BigDecimal borneSup = valeurImpot.add(deltaSurMontantImpotCalcule);
        BigDecimal borneInf = valeurImpot.subtract(deltaSurMontantImpotCalcule);

        BigDecimal tauxCalculeSup = borneSup.multiply(new BigDecimal(20)).divide(new BigDecimal(revenu), 5,
                BigDecimal.ROUND_HALF_UP);
        BigDecimal tauxCalculeInf = borneInf.multiply(new BigDecimal(20)).divide(new BigDecimal(revenu), 5,
                BigDecimal.ROUND_HALF_UP);
        BigDecimal tauxAttendu = new BigDecimal(tauxEnPourcent);

        assertTrue("Comparaison taux attendu : " + tauxEnPourcent + ", tauxSup " + tauxCalculeSup,
                0 >= tauxAttendu.compareTo(tauxCalculeSup));
        assertTrue("Comparaison taux attendu : " + tauxEnPourcent + ", tauxInf " + tauxCalculeInf,
                0 >= tauxCalculeInf.compareTo(tauxAttendu));
    }

    @Test
    public void exhaustif() {
        test(8500, "1.59294");
        test(8600, "1.60628");
        test(8700, "1.61954");
        test(8800, "1.63261");
        test(8900, "1.64584");
        test(9000, "1.65878");
        test(9100, "1.67187");
        test(9200, "1.68457");
        test(9300, "1.69731");
        test(9400, "1.71000");
        test(9500, "1.72253");
        test(9600, "1.73510");
        test(9700, "1.74763");
        test(9800, "1.75990");
        test(9900, "1.77212");
        test(10000, "1.78450");
        test(10100, "1.79663");
        test(10200, "1.80863");
        test(10300, "1.82049");
        test(10400, "1.83250");
        test(10500, "1.84419");
        test(10600, "1.85623");
        test(10700, "1.86785");
        test(10800, "1.87954");
        test(10900, "1.89101");
        test(11000, "1.90236");
        test(11100, "1.91396");
        test(11200, "1.92536");
        test(11300, "1.93664");
        test(11400, "1.94789");
        test(11500, "1.95904");
        test(11600, "1.97017");
        test(11700, "1.98103");
        test(11800, "1.99203");
        test(11900, "2.00294");
        test(12000, "2.01375");
        test(12100, "2.02446");
        test(12200, "2.03516");
        test(12300, "2.04585");
        test(12400, "2.05629");
        test(12500, "2.06696");
        test(12600, "2.07746");
        test(12700, "2.08772");
        test(12800, "2.09812");
        test(12900, "2.10829");
        test(13000, "2.11854");
        test(13100, "2.12878");
        test(13200, "2.13879");
        test(13300, "2.14887");
        test(13400, "2.15881");
        test(13500, "2.16867");
        test(13600, "2.17860");
        test(13700, "2.18832");
        test(13800, "2.19812");
        test(13900, "2.20770");
        test(14000, "2.21743");
        test(14100, "2.22695");
        test(14200, "2.23655");
        test(14300, "2.24587");
        test(14400, "2.25542");
        test(14500, "2.26469");
        test(14600, "2.27390");
        test(14700, "2.28320");
        test(14800, "2.29250");
        test(14900, "2.30161");
        test(15000, "2.31073");
        test(15100, "2.31974");
        test(15200, "2.32868");
        test(15300, "2.33771");
        test(15400, "2.34649");
        test(15500, "2.35535");
        test(15600, "2.36410");
        test(15700, "2.37293");
        test(15800, "2.38165");
        test(15900, "2.39025");
        test(16000, "2.39888");
        test(16100, "2.40739");
        test(16200, "2.41586");
        test(16300, "2.42429");
        test(16400, "2.43274");
        test(16500, "2.44103");
        test(16600, "2.44934");
        test(16700, "2.45760");
        test(16800, "2.46583");
        test(16900, "2.47408");
        test(17000, "2.48212");
        test(17100, "2.49029");
        test(17200, "2.49826");
        test(17300, "2.50630");
        test(17400, "2.51420");
        test(17500, "2.52217");
        test(17600, "2.53000");
        test(17700, "2.53780");
        test(17800, "2.54551");
        test(17900, "2.55330");
        test(18000, "2.56100");
        test(18100, "2.56862");
        test(18200, "2.57615");
        test(18300, "2.58383");
        test(18400, "2.59141");
        test(18500, "2.59892");
        test(18600, "2.60640");
        test(18700, "2.61374");
        test(18800, "2.62112");
        test(18900, "2.62831");
        test(19000, "2.63568");
        test(19100, "2.64298");
        test(19200, "2.65021");
        test(19300, "2.65736");
        test(19400, "2.66454");
        test(19500, "2.67159");
        test(19600, "2.67872");
        test(19700, "2.68569");
        test(19800, "2.69268");
        test(19900, "2.69955");
        test(20000, "2.70660");
        test(20100, "2.71343");
        test(20200, "2.72020");
        test(20300, "2.72704");
        test(20400, "2.73377");
        test(20500, "2.74054");
        test(20600, "2.74728");
        test(20700, "2.75401");
        test(20800, "2.76053");
        test(20900, "2.76722");
        test(21000, "2.77371");
        test(21100, "2.78028");
        test(21200, "2.78679");
        test(21300, "2.79324");
        test(21400, "2.79977");
        test(21500, "2.80609");
        test(21600, "2.81250");
        test(21700, "2.81876");
        test(21800, "2.82505");
        test(21900, "2.83137");
        test(22000, "2.83764");
        test(22100, "2.84385");
        test(22200, "2.84995");
        test(22300, "2.85610");
        test(22400, "2.86223");
        test(22500, "2.86831");
        test(22600, "2.87438");
        test(22700, "2.88040");
        test(22800, "2.88636");
        test(22900, "2.89240");
        test(23000, "2.89830");
        test(23100, "2.90424");
        test(23200, "2.91000");
        test(23300, "2.91592");
        test(23400, "2.92171");
        test(23500, "2.92753");
        test(23600, "2.93331");
        test(23700, "2.93903");
        test(23800, "2.94471");
        test(23900, "2.95038");
        test(24000, "2.95608");
        test(24100, "2.96170");
        test(24200, "2.96727");
        test(24300, "2.97280");
        test(24400, "2.97836");
        test(24500, "2.98392");
        test(24600, "2.98939");
        test(24700, "2.99478");
        test(24800, "3.00024");
        test(24900, "3.00566");
        test(25000, "3.01100");
        test(25100, "3.01641");
        test(25200, "3.02167");
        test(25300, "3.02704");
        test(25400, "3.03236");
        test(25500, "3.03761");
        test(25600, "3.04281");
        test(25700, "3.04798");
        test(25800, "3.05322");
        test(25900, "3.05838");
        test(26000, "3.06350");
        test(26100, "3.06858");
        test(26200, "3.07359");
        test(26300, "3.07875");
        test(26400, "3.08371");
        test(26500, "3.08879");
        test(26600, "3.09380");
        test(26700, "3.09873");
        test(26800, "3.10366");
        test(26900, "3.10862");
        test(27000, "3.11352");
        test(27100, "3.11841");
        test(27200, "3.12327");
        test(27300, "3.12802");
        test(27400, "3.13292");
        test(27500, "3.13767");
        test(27600, "3.14246");
        test(27700, "3.14715");
        test(27800, "3.15187");
        test(27900, "3.15656");
        test(28000, "3.16132");
        test(28100, "3.16591");
        test(28200, "3.17060");
        test(28300, "3.17516");
        test(28400, "3.17975");
        test(28500, "3.18435");
        test(28600, "3.18892");
        test(28700, "3.19345");
        test(28800, "3.19792");
        test(28900, "3.20246");
        test(29000, "3.20693");
        test(29100, "3.21137");
        test(29200, "3.21582");
        test(29300, "3.22024");
        test(29400, "3.22463");
        test(29500, "3.22902");
        test(29600, "3.23331");
        test(29700, "3.23771");
        test(29800, "3.24201");
        test(29900, "3.24632");
        test(30000, "3.25060");
        test(30100, "3.25485");
        test(30200, "3.25907");
        test(30300, "3.26337");
        test(30400, "3.26757");
        test(30500, "3.27170");
        test(30600, "3.27595");
        test(30700, "3.28003");
        test(30800, "3.28422");
        test(30900, "3.28832");
        test(31000, "3.29239");
        test(31100, "3.29650");
        test(31200, "3.30058");
        test(31300, "3.30463");
        test(31400, "3.30866");
        test(31500, "3.31267");
        test(31600, "3.31668");
        test(31700, "3.32060");
        test(31800, "3.32465");
        test(31900, "3.32853");
        test(32000, "3.33250");
        test(32100, "3.33645");
        test(32200, "3.34034");
        test(32300, "3.34421");
        test(32400, "3.34806");
        test(32500, "3.35191");
        test(32600, "3.35577");
        test(32700, "3.35963");
        test(32800, "3.36332");
        test(32900, "3.36714");
        test(33000, "3.37091");
        test(33100, "3.37468");
        test(33200, "3.37843");
        test(33300, "3.38216");
        test(33400, "3.38587");
        test(33500, "3.38958");
        test(33600, "3.39321");
        test(33700, "3.39694");
        test(33800, "3.40056");
        test(33900, "3.40422");
        test(34000, "3.40782");
        test(34100, "3.41150");
        test(34200, "3.41500");
        test(34300, "3.41860");
        test(34400, "3.42218");
        test(34500, "3.42574");
        test(34600, "3.42931");
        test(34700, "3.43282");
        test(34800, "3.43626");
        test(34900, "3.43977");
        test(35000, "3.44329");
        test(35100, "3.44675");
        test(35200, "3.45023");
        test(35300, "3.45363");
        test(35400, "3.45709");
        test(35500, "3.46051");
        test(35600, "3.46390");
        test(35700, "3.46728");
        test(35800, "3.47067");
        test(35900, "3.47404");
        test(36000, "3.47736");
        test(36100, "3.48072");
        test(36200, "3.48398");
        test(36300, "3.48733");
        test(36400, "3.49063");
        test(36500, "3.49392");
        test(36600, "3.49719");
        test(36700, "3.50046");
        test(36800, "3.50375");
        test(36900, "3.50696");
        test(37000, "3.51016");
        test(37100, "3.51337");
        test(37200, "3.51659");
        test(37300, "3.51976");
        test(37400, "3.52299");
        test(37500, "3.52608");
        test(37600, "3.52926");
        test(37700, "3.53244");
        test(37800, "3.53553");
        test(37900, "3.53863");
        test(38000, "3.54176");
        test(38100, "3.54486");
        test(38200, "3.54793");
        test(38300, "3.55099");
        test(38400, "3.55411");
        test(38500, "3.55712");
        test(38600, "3.56018");
        test(38700, "3.56320");
        test(38800, "3.56619");
        test(38900, "3.56923");
        test(39000, "3.57221");
        test(39100, "3.57519");
        test(39200, "3.57816");
        test(39300, "3.58112");
        test(39400, "3.58409");
        test(39500, "3.58704");
        test(39600, "3.58992");
        test(39700, "3.59285");
        test(39800, "3.59573");
        test(39900, "3.59870");
        test(40000, "3.60160");
        test(40100, "3.60446");
        test(40200, "3.60734");
        test(40300, "3.61020");
        test(40400, "3.61307");
        test(40500, "3.61583");
        test(40600, "3.61869");
        test(40700, "3.62150");
        test(40800, "3.62436");
        test(40900, "3.62714");
        test(41000, "3.62990");
        test(41100, "3.63270");
        test(41200, "3.63546");
        test(41300, "3.63821");
        test(41400, "3.64099");
        test(41500, "3.64376");
        test(41600, "3.64644");
        test(41700, "3.64918");
        test(41800, "3.65191");
        test(41900, "3.65463");
        test(42000, "3.65729");
        test(42100, "3.65998");
        test(42200, "3.66270");
        test(42300, "3.66534");
        test(42400, "3.66804");
        test(42500, "3.67066");
        test(42600, "3.67331");
        test(42700, "3.67590");
        test(42800, "3.67855");
        test(42900, "3.68121");
        test(43000, "3.68381");
        test(43100, "3.68640");
        test(43200, "3.68898");
        test(43300, "3.69152");
        test(43400, "3.69415");
        test(43500, "3.69669");
        test(43600, "3.69927");
        test(43700, "3.70178");
        test(43800, "3.70434");
        test(43900, "3.70688");
        test(44000, "3.70939");
        test(44100, "3.71190");
        test(44200, "3.71441");
        test(44300, "3.71691");
        test(44400, "3.71944");
        test(44500, "3.72191");
        test(44600, "3.72437");
        test(44700, "3.72682");
        test(44800, "3.72931");
        test(44900, "3.73178");
        test(45000, "3.73422");
        test(45100, "3.73665");
        test(45200, "3.73907");
        test(45300, "3.74152");
        test(45400, "3.74392");
        test(45500, "3.74631");
        test(45600, "3.74873");
        test(45700, "3.75112");
        test(45800, "3.75349");
        test(45900, "3.75584");
        test(46000, "3.75824");
        test(46100, "3.76059");
        test(46200, "3.76297");
        test(46300, "3.76531");
        test(46400, "3.76763");
        test(46500, "3.76998");
        test(46600, "3.77232");
        test(46700, "3.77460");
        test(46800, "3.77692");
        test(46900, "3.77923");
        test(47000, "3.78153");
        test(47100, "3.78384");
        test(47200, "3.78610");
        test(47300, "3.78837");
        test(47400, "3.79065");
        test(47500, "3.79288");
        test(47600, "3.79519");
        test(47700, "3.79742");
        test(47800, "3.79969");
        test(47900, "3.80190");
        test(48000, "3.80412");
        test(48100, "3.80632");
        test(48200, "3.80857");
        test(48300, "3.81079");
        test(48400, "3.81300");
        test(48500, "3.81522");
        test(48600, "3.81739");
        test(48700, "3.81957");
        test(48800, "3.82170");
        test(48900, "3.82391");
        test(49000, "3.82606");
        test(49100, "3.82821");
        test(49200, "3.83039");
        test(49300, "3.83252");
        test(49400, "3.83470");
        test(49500, "3.83681");
        test(49600, "3.83893");
        test(49700, "3.84105");
        test(49800, "3.84321");
        test(49900, "3.84529");
        test(50000, "3.84738");
        test(50100, "3.84950");
        test(50200, "3.85157");
        test(50300, "3.85368");
        test(50400, "3.85571");
        test(50500, "3.85782");
        test(50600, "3.85988");
        test(50700, "3.86197");
        test(50800, "3.86404");
        test(50900, "3.86605");
        test(51000, "3.86812");
        test(51100, "3.87016");
        test(51200, "3.87219");
        test(51300, "3.87421");
        test(51400, "3.87625");
        test(51500, "3.87825");
        test(51600, "3.88023");
        test(51700, "3.88226");
        test(51800, "3.88429");
        test(51900, "3.88626");
        test(52000, "3.88825");
        test(52100, "3.89025");
        test(52200, "3.89224");
        test(52300, "3.89421");
        test(52400, "3.89616");
        test(52500, "3.89813");
        test(52600, "3.90008");
        test(52700, "3.90203");
        test(52800, "3.90400");
        test(52900, "3.90595");
        test(53000, "3.90789");
        test(53100, "3.90977");
        test(53200, "3.91171");
        test(53300, "3.91364");
        test(53400, "3.91556");
        test(53500, "3.91748");
        test(53600, "3.91938");
        test(53700, "3.92125");
        test(53800, "3.92318");
        test(53900, "3.92506");
        test(54000, "3.92694");
        test(54100, "3.92887");
        test(54200, "3.93072");
        test(54300, "3.93258");
        test(54400, "3.93445");
        test(54500, "3.93637");
        test(54600, "3.93819");
        test(54700, "3.94002");
        test(54800, "3.94190");
        test(54900, "3.94375");
        test(55000, "3.94556");
        test(55100, "3.94740");
        test(55200, "3.94924");
        test(55300, "3.95105");
        test(55400, "3.95289");
        test(55500, "3.95470");
        test(55600, "3.95651");
        test(55700, "3.95833");
        test(55800, "3.96011");
        test(55900, "3.96188");
        test(56000, "3.96366");
        test(56100, "3.96549");
        test(56200, "3.96726");
        test(56300, "3.96906");
        test(56400, "3.97082");
        test(56500, "3.97258");
        test(56600, "3.97438");
        test(56700, "3.97612");
        test(56800, "3.97789");
        test(56900, "3.97965");
        test(57000, "3.98140");
        test(57100, "3.98313");
        test(57200, "3.98490");
        test(57300, "3.98663");
        test(57400, "3.98834");
        test(57500, "3.99009");
        test(57600, "3.99182");
        test(57700, "3.99352");
        test(57800, "3.99521");
        test(57900, "3.99696");
        test(58000, "3.99866");
        test(58100, "4.00038");
        test(58200, "4.00206");
        test(58300, "4.00379");
        test(58400, "4.00543");
        test(58500, "4.00715");
        test(58600, "4.00884");
        test(58700, "4.01053");
        test(58800, "4.01221");
        test(58900, "4.01385");
        test(59000, "4.01551");
        test(59100, "4.01717");
        test(59200, "4.01885");
        test(59300, "4.02051");
        test(59400, "4.02215");
        test(59500, "4.02380");
        test(59600, "4.02547");
        test(59700, "4.02707");
        test(59800, "4.02873");
        test(59900, "4.03035");
        test(60000, "4.03198");
        test(60100, "4.03363");
        test(60200, "4.03525");
        test(60300, "4.03688");
        test(60400, "4.03844");
        test(60500, "4.04007");
        test(60600, "4.04172");
        test(60700, "4.04330");
        test(60800, "4.04490");
        test(60900, "4.04650");
        test(61000, "4.04808");
        test(61100, "4.04971");
        test(61200, "4.05126");
        test(61300, "4.05282");
        test(61400, "4.05443");
        test(61500, "4.05602");
        test(61600, "4.05756");
        test(61700, "4.05916");
        test(61800, "4.06071");
        test(61900, "4.06226");
        test(62000, "4.06382");
        test(62100, "4.06538");
        test(62200, "4.06695");
        test(62300, "4.06849");
        test(62400, "4.07003");
        test(62500, "4.07155");
        test(62600, "4.07313");
        test(62700, "4.07464");
        test(62800, "4.07618");
        test(62900, "4.07768");
        test(63000, "4.07922");
        test(63100, "4.08073");
        test(63200, "4.08228");
        test(63300, "4.08376");
        test(63400, "4.08530");
        test(63500, "4.08679");
        test(63700, "4.08980");
        test(63800, "4.09130");
        test(63900, "4.09280");
        test(64000, "4.09431");
        test(64100, "4.09579");
        test(64200, "4.09729");
        test(64300, "4.09874");
        test(64400, "4.10025");
        test(64500, "4.10172");
        test(64600, "4.10317");
        test(64700, "4.10465");
        test(64800, "4.10614");
        test(64900, "4.10758");
        test(65000, "4.10908");
        test(65100, "4.11049");
        test(65200, "4.11195");
        test(65300, "4.11343");
        test(65400, "4.11489");
        test(65500, "4.11632");
        test(65600, "4.11776");
        test(65700, "4.11921");
        test(65800, "4.12064");
        test(65900, "4.12208");
        test(66000, "4.12350");
        test(66100, "4.12492");
        test(66200, "4.12637");
        test(66300, "4.12780");
        test(66400, "4.12922");
        test(66500, "4.13063");
        test(66600, "4.13206");
        test(66700, "4.13345");
        test(66800, "4.13488");
        test(66900, "4.13629");
        test(67000, "4.13769");
        test(67100, "4.13909");
        test(67200, "4.14046");
        test(67300, "4.14187");
        test(67400, "4.14326");
        test(67500, "4.14465");
        test(67600, "4.14605");
        test(67700, "4.14744");
        test(67800, "4.14883");
        test(67900, "4.15021");
        test(68000, "4.15157");
        test(68100, "4.15294");
        test(68200, "4.15431");
        test(68300, "4.15567");
        test(68400, "4.15705");
        test(68500, "4.15844");
        test(68600, "4.15978");
        test(68700, "4.16114");
        test(68800, "4.16247");
        test(68900, "4.16385");
        test(69000, "4.16519");
        test(69100, "4.16653");
        test(69200, "4.16789");
        test(69300, "4.16922");
        test(69400, "4.17058");
        test(69500, "4.17191");
        test(69600, "4.17325");
        test(69700, "4.17458");
        test(69800, "4.17590");
        test(69900, "4.17722");
        test(70000, "4.17856");
        test(70100, "4.17989");
        test(70200, "4.18118");
        test(70300, "4.18250");
        test(70400, "4.18384");
        test(70500, "4.18513");
        test(70600, "4.18646");
        test(70700, "4.18775");
        test(70800, "4.18907");
        test(70900, "4.19038");
        test(71000, "4.19166");
        test(71100, "4.19297");
        test(71200, "4.19427");
        test(71300, "4.19555");
        test(71400, "4.19685");
        test(71500, "4.19814");
        test(71600, "4.19944");
        test(71700, "4.20073");
        test(71800, "4.20201");
        test(71900, "4.20328");
        test(72000, "4.20457");
        test(72100, "4.20584");
        test(72200, "4.20711");
        test(72300, "4.20840");
        test(72400, "4.20965");
        test(72500, "4.21095");
        test(72600, "4.21215");
        test(72700, "4.21344");
        test(72800, "4.21468");
        test(72900, "4.21594");
        test(73000, "4.21722");
        test(73100, "4.21847");
        test(73200, "4.21973");
        test(73300, "4.22097");
        test(73400, "4.22222");
        test(73500, "4.22346");
        test(73600, "4.22471");
        test(73700, "4.22594");
        test(73800, "4.22720");
        test(73900, "4.22842");
        test(74000, "4.22961");
        test(74100, "4.23088");
        test(74200, "4.23210");
        test(74300, "4.23334");
        test(74400, "4.23454");
        test(74500, "4.23579");
        test(74600, "4.23700");
        test(74700, "4.23823");
        test(74800, "4.23943");
        test(74900, "4.24064");
        test(75000, "4.24187");
        test(75100, "4.24309");
        test(75200, "4.24428");
        test(75300, "4.24548");
        test(75400, "4.24671");
        test(75500, "4.24792");
        test(75600, "4.24909");
        test(75700, "4.25029");
        test(75800, "4.25149");
        test(75900, "4.25267");
        test(76000, "4.25388");
        test(76100, "4.25507");
        test(76200, "4.25625");
        test(76300, "4.25744");
        test(76400, "4.25861");
        test(76500, "4.25980");
        test(76600, "4.26098");
        test(76700, "4.26218");
        test(76800, "4.26335");
        test(76900, "4.26451");
        test(77000, "4.26569");
        test(77100, "4.26685");
        test(77200, "4.26804");
        test(77300, "4.26921");
        test(77400, "4.27035");
        test(77500, "4.27154");
        test(77600, "4.27268");
        test(77700, "4.27384");
        test(77800, "4.27500");
        test(77900, "4.27615");
        test(78000, "4.27732");
        test(78100, "4.27846");
        test(78200, "4.27960");
        test(78300, "4.28077");
        test(78400, "4.28190");
        test(78500, "4.28306");
        test(78600, "4.28419");
        test(78700, "4.28534");
        test(78800, "4.28648");
        test(78900, "4.28762");
        test(79000, "4.28875");
        test(79100, "4.28987");
        test(79200, "4.29102");
        test(79300, "4.29216");
        test(79400, "4.29329");
        test(79500, "4.29440");
        test(79600, "4.29554");
        test(79700, "4.29664");
        test(79800, "4.29777");
        test(79900, "4.29887");
        test(80000, "4.30003");
        test(80100, "4.30112");
        test(80200, "4.30223");
        test(80300, "4.30336");
        test(80400, "4.30445");
        test(80500, "4.30559");
        test(80600, "4.30667");
        test(80700, "4.30779");
        test(80800, "4.30891");
        test(80900, "4.31000");
        test(81000, "4.31110");
        test(81100, "4.31221");
        test(81200, "4.31333");
        test(81300, "4.31438");
        test(81400, "4.31548");
        test(81500, "4.31658");
        test(81600, "4.31766");
        test(81700, "4.31878");
        test(81800, "4.31987");
        test(81900, "4.32094");
        test(82000, "4.32201");
        test(82100, "4.32311");
        test(82200, "4.32420");
        test(82300, "4.32526");
        test(82400, "4.32635");
        test(82500, "4.32743");
        test(82600, "4.32849");
        test(82700, "4.32959");
        test(82800, "4.33065");
        test(82900, "4.33169");
        test(83000, "4.33277");
        test(83100, "4.33386");
        test(83200, "4.33490");
        test(83300, "4.33595");
        test(83400, "4.33704");
        test(83500, "4.33811");
        test(83600, "4.33915");
        test(83700, "4.34020");
        test(83800, "4.34126");
        test(83900, "4.34232");
        test(84000, "4.34339");
        test(84100, "4.34444");
        test(84200, "4.34547");
        test(84300, "4.34654");
        test(84400, "4.34758");
        test(84500, "4.34863");
        test(84600, "4.34968");
        test(84700, "4.35070");
        test(84800, "4.35175");
        test(84900, "4.35279");
        test(85000, "4.35384");
        test(85100, "4.35488");
        test(85200, "4.35589");
        test(85300, "4.35693");
        test(85400, "4.35796");
        test(85500, "4.35902");
        test(85600, "4.36005");
        test(85700, "4.36107");
        test(85800, "4.36209");
        test(85900, "4.36311");
        test(86000, "4.36413");
        test(86100, "4.36515");
        test(86200, "4.36616");
        test(86300, "4.36721");
        test(86400, "4.36822");
        test(86500, "4.36924");
        test(86600, "4.37025");
        test(86700, "4.37126");
        test(86800, "4.37229");
        test(86900, "4.37329");
        test(87000, "4.37430");
        test(87100, "4.37529");
        test(87200, "4.37631");
        test(87300, "4.37732");
        test(87400, "4.37833");
        test(87500, "4.37931");
        test(87600, "4.38031");
        test(87700, "4.38132");
        test(87800, "4.38231");
        test(87900, "4.38332");
        test(88000, "4.38431");
        test(88100, "4.38530");
        test(88200, "4.38632");
        test(88300, "4.38730");
        test(88400, "4.38829");
        test(88500, "4.38927");
        test(88600, "4.39027");
        test(88700, "4.39126");
        test(88800, "4.39223");
        test(88900, "4.39323");
        test(89000, "4.39420");
        test(89100, "4.39520");
        test(89200, "4.39617");
        test(89300, "4.39713");
        test(89400, "4.39812");
        test(89500, "4.39911");
        test(89600, "4.40007");
        test(89700, "4.40105");
        test(89800, "4.40203");
        test(89900, "4.40299");
        test(90000, "4.40397");
        test(90100, "4.40494");
        test(90200, "4.40591");
        test(90300, "4.40685");
        test(90400, "4.40782");
        test(90500, "4.40878");
        test(90600, "4.40977");
        test(90700, "4.41072");
        test(90800, "4.41167");
        test(90900, "4.41264");
        test(91000, "4.41359");
        test(91100, "4.41456");
        test(91200, "4.41550");
        test(91300, "4.41646");
        test(91400, "4.41741");
        test(91500, "4.41836");
        test(91600, "4.41931");
        test(91700, "4.42025");
        test(91800, "4.42121");
        test(91900, "4.42217");
        test(92000, "4.42310");
        test(92100, "4.42405");
        test(92200, "4.42499");
        test(92300, "4.42594");
        test(92400, "4.42687");
        test(92500, "4.42781");
        test(92600, "4.42875");
        test(92700, "4.42969");
        test(92800, "4.43059");
        test(92900, "4.43156");
        test(93000, "4.43251");
        test(93100, "4.43343");
        test(93200, "4.43436");
        test(93300, "4.43528");
        test(93400, "4.43623");
        test(93500, "4.43712");
        test(93600, "4.43807");
        test(93700, "4.43901");
        test(93800, "4.43991");
        test(93900, "4.44084");
        test(94000, "4.44178");
        test(94100, "4.44269");
        test(94200, "4.44359");
        test(94300, "4.44452");
        test(94400, "4.44542");
        test(94500, "4.44635");
        test(94600, "4.44727");
        test(94700, "4.44817");
        test(94800, "4.44911");
        test(94900, "4.45001");
        test(95000, "4.45093");
        test(95100, "4.45183");
        test(95200, "4.45272");
        test(95300, "4.45365");
        test(95400, "4.45454");
        test(95500, "4.45547");
        test(95600, "4.45636");
        test(95700, "4.45727");
        test(95800, "4.45817");
        test(95900, "4.45906");
        test(96000, "4.45996");
        test(96100, "4.46085");
        test(96200, "4.46177");
        test(96300, "4.46269");
        test(96400, "4.46357");
        test(96500, "4.46446");
        test(96600, "4.46534");
        test(96700, "4.46624");
        test(96800, "4.46712");
        test(96900, "4.46803");
        test(97000, "4.46890");
        test(97100, "4.46981");
        test(97200, "4.47069");
        test(97300, "4.47157");
        test(97400, "4.47245");
        test(97500, "4.47335");
        test(97600, "4.47423");
        test(97700, "4.47511");
        test(97800, "4.47599");
        test(97900, "4.47687");
        test(98000, "4.47776");
        test(98100, "4.47862");
        test(98200, "4.47950");
        test(98300, "4.48038");
        test(98400, "4.48125");
        test(98500, "4.48211");
        test(98600, "4.48301");
        test(98700, "4.48388");
        test(98800, "4.48476");
        test(98900, "4.48561");
        test(99000, "4.48647");
        test(99100, "4.48735");
        test(99200, "4.48823");
        test(99300, "4.48908");
        test(99400, "4.48996");
        test(99500, "4.49081");
        test(99600, "4.49168");
        test(99700, "4.49253");
        test(99800, "4.49340");
        test(99900, "4.49426");
        test(100000, "4.49511");
        test(100500, "4.49941");
        test(101000, "4.50366");
        test(101500, "4.50791");
        test(102000, "4.51210");
        test(102500, "4.51628");
        test(103000, "4.52046");
        test(103500, "4.52459");
        test(104000, "4.52872");
        test(104500, "4.53282");
        test(105000, "4.53690");
        test(105500, "4.54098");
        test(106000, "4.54500");
        test(106500, "4.54901");
        test(107000, "4.55300");
        test(107500, "4.55699");
        test(108000, "4.56094");
        test(108500, "4.56487");
        test(109000, "4.56879");
        test(109500, "4.57268");
        test(110000, "4.57656");
        test(110500, "4.58041");
        test(111000, "4.58423");
        test(111500, "4.58806");
        test(112000, "4.59186");
        test(112500, "4.59565");
        test(113000, "4.59940");
        test(113500, "4.60316");
        test(114000, "4.60688");
        test(114500, "4.61059");
        test(115000, "4.61429");
        test(115500, "4.61796");
        test(116000, "4.62163");
        test(116500, "4.62528");
        test(117000, "4.62890");
        test(117500, "4.63251");
        test(118000, "4.63610");
        test(118500, "4.63969");
        test(119000, "4.64324");
        test(119500, "4.64680");
        test(120000, "4.65033");
        test(120500, "4.65384");
        test(121000, "4.65735");
        test(121500, "4.66082");
        test(122000, "4.66430");
        test(122500, "4.66776");
        test(123000, "4.67119");
        test(123500, "4.67462");
        test(124000, "4.67803");
        test(124500, "4.68142");
        test(125000, "4.68482");
        test(125500, "4.68818");
        test(126000, "4.69154");
        test(126500, "4.69488");
        test(127000, "4.69820");
        test(127500, "4.70155");
        test(128000, "4.70484");
        test(128500, "4.70812");
        test(129000, "4.71140");
        test(129500, "4.71466");
        test(130000, "4.71790");
        test(130500, "4.72115");
        test(131000, "4.72435");
        test(131500, "4.72758");
        test(132000, "4.73077");
        test(132500, "4.73396");
        test(133000, "4.73714");
        test(133500, "4.74029");
        test(134000, "4.74345");
        test(134500, "4.74659");
        test(135000, "4.74972");
        test(135500, "4.75283");
        test(136000, "4.75593");
        test(136500, "4.75903");
        test(137000, "4.76211");
        test(137500, "4.76518");
        test(138000, "4.76822");
        test(138500, "4.77128");
        test(139000, "4.77432");
        test(139500, "4.77734");
        test(140000, "4.78034");
        test(140500, "4.78335");
        test(141000, "4.78633");
        test(141500, "4.78932");
        test(142000, "4.79230");
        test(142500, "4.79525");
        test(143000, "4.79821");
        test(143500, "4.80115");
        test(144000, "4.80406");
        test(144500, "4.80699");
        test(145000, "4.80990");
        test(145500, "4.81280");
        test(146000, "4.81569");
        test(146500, "4.81856");
        test(147000, "4.82143");
        test(147500, "4.82429");
        test(148000, "4.82714");
        test(148500, "4.82999");
        test(149000, "4.83281");
        test(149500, "4.83563");
        test(150000, "4.83844");
        test(150500, "4.84126");
        test(151000, "4.84404");
        test(151500, "4.84683");
        test(152000, "4.84959");
        test(152500, "4.85236");
        test(153000, "4.85513");
        test(153500, "4.85787");
        test(154000, "4.86060");
        test(154500, "4.86333");
        test(155000, "4.86606");
        test(155500, "4.86878");
        test(156000, "4.87147");
        test(156500, "4.87417");
        test(157000, "4.87686");
        test(157500, "4.87954");
        test(158000, "4.88220");
        test(158500, "4.88486");
        test(159000, "4.88752");
        test(159500, "4.89016");
        test(160000, "4.89280");
        test(160500, "4.89543");
        test(161000, "4.89806");
        test(161500, "4.90067");
        test(162000, "4.90327");
        test(162500, "4.90586");
        test(163000, "4.90845");
        test(163500, "4.91103");
        test(164000, "4.91361");
        test(164500, "4.91617");
        test(165000, "4.91873");
        test(165500, "4.92127");
        test(166000, "4.92383");
        test(166500, "4.92636");
        test(167000, "4.92890");
        test(167500, "4.93140");
        test(168000, "4.93391");
        test(168500, "4.93643");
        test(169000, "4.93891");
        test(169500, "4.94141");
        test(170000, "4.94389");
        test(170500, "4.94637");
        test(171000, "4.94885");
        test(171500, "4.95130");
        test(172000, "4.95376");
        test(172500, "4.95621");
        test(173000, "4.95864");
        test(173500, "4.96108");
        test(174000, "4.96351");
        test(174500, "4.96592");
        test(175000, "4.96833");
        test(175500, "4.97073");
        test(176000, "4.97314");
        test(176500, "4.97554");
        test(177000, "4.97793");
        test(177500, "4.98030");
        test(178000, "4.98267");
        test(178500, "4.98505");
        test(179000, "4.98741");
        test(179500, "4.98975");
        test(180000, "4.99209");
        test(180500, "4.99444");
        test(181000, "4.99678");
        test(181500, "4.99910");
        test(182000, "5.00143");
        test(182500, "5.00374");
        test(183000, "5.00605");
        test(183500, "5.00835");
        test(184000, "5.01065");
        test(184500, "5.01294");
        test(185000, "5.01522");
        test(185500, "5.01750");
        test(186000, "5.01977");
        test(186500, "5.02203");
        test(187000, "5.02429");
        test(187500, "5.02654");
        test(188000, "5.02880");
        test(188500, "5.03104");
        test(189000, "5.03327");
        test(189500, "5.03550");
        test(190000, "5.03773");
        test(190500, "5.03995");
        test(191000, "5.04216");
        test(191500, "5.04437");
        test(192000, "5.04656");
        test(192500, "5.04875");
        test(193000, "5.05096");
        test(193500, "5.05313");
        test(194000, "5.05532");
        test(194500, "5.05749");
        test(195000, "5.05965");
        test(195500, "5.06182");
        test(196000, "5.06397");
        test(196500, "5.06613");
        test(197000, "5.06827");
        test(197500, "5.07042");
        test(198000, "5.07254");
        test(198500, "5.07468");
        test(199000, "5.07680");
        test(199500, "5.07892");
        test(200000, "5.08103");
        test(200500, "5.08315");
        test(201000, "5.08524");
        test(201500, "5.08734");
        test(202000, "5.08943");
        test(202500, "5.09152");
        test(203000, "5.09360");
        test(203500, "5.09567");
        test(204000, "5.09775");
        test(204500, "5.09981");
        test(205000, "5.10188");
        test(205500, "5.10393");
        test(206000, "5.10599");
        test(206500, "5.10803");
        test(207000, "5.11007");
        test(207500, "5.11211");
        test(208000, "5.11414");
        test(208500, "5.11617");
        test(209000, "5.11819");
        test(209500, "5.12020");
        test(210000, "5.12222");
        test(210500, "5.12423");
        test(211000, "5.12623");
        test(211500, "5.12823");
        test(212000, "5.13022");
        test(212500, "5.13221");
        test(213000, "5.13419");
        test(213500, "5.13617");
        test(214000, "5.13814");
        test(214500, "5.14012");
        test(215000, "5.14208");
        test(215500, "5.14405");
        test(216000, "5.14600");
        test(216500, "5.14795");
        test(217000, "5.14990");
        test(217500, "5.15184");
        test(218000, "5.15378");
        test(218500, "5.15570");
        test(219000, "5.15764");
        test(219500, "5.15956");
        test(220000, "5.16149");
        test(220500, "5.16340");
        test(221000, "5.16530");
        test(221500, "5.16721");
        test(222000, "5.16912");
        test(222500, "5.17101");
        test(223000, "5.17290");
        test(223500, "5.17479");
        test(224000, "5.17668");
        test(224500, "5.17856");
        test(225000, "5.18044");
        test(225500, "5.18231");
        test(226000, "5.18419");
        test(226500, "5.18604");
        test(227000, "5.18790");
        test(227500, "5.18975");
        test(228000, "5.19160");
        test(228500, "5.19345");
        test(229000, "5.19530");
        test(229500, "5.19713");
        test(230000, "5.19896");
        test(230500, "5.20079");
        test(231000, "5.20262");
        test(231500, "5.20444");
        test(232000, "5.20626");
        test(232500, "5.20807");
        test(233000, "5.20988");
        test(233500, "5.21169");
        test(234000, "5.21349");
        test(234500, "5.21530");
        test(235000, "5.21709");
        test(235500, "5.21887");
        test(236000, "5.22065");
        test(236500, "5.22245");
        test(237000, "5.22422");
        test(237500, "5.22599");
        test(238000, "5.22776");
        test(238500, "5.22953");
        test(239000, "5.23129");
        test(239500, "5.23305");
        test(240000, "5.23480");
        test(240500, "5.23655");
        test(241000, "5.23831");
        test(241500, "5.24005");
        test(242000, "5.24179");
        test(242500, "5.24353");
        test(243000, "5.24526");
        test(243500, "5.24698");
        test(244000, "5.24872");
        test(244500, "5.25043");
        test(245000, "5.25215");
        test(245500, "5.25387");
        test(246000, "5.25557");
        test(246500, "5.25728");
        test(247000, "5.25898");
        test(247500, "5.26068");
        test(248000, "5.26238");
        test(248500, "5.26407");
        test(249000, "5.26576");
        test(249500, "5.26745");
        test(250000, "5.26913");
        test(250500, "5.27080");
        test(251000, "5.27248");
        test(251500, "5.27414");
        test(252000, "5.27581");
        test(252500, "5.27748");
        test(253000, "5.27913");
        test(253500, "5.28080");
        test(254000, "5.28244");
        test(254500, "5.28410");
        test(255000, "5.28574");
        test(255500, "5.28738");
        test(256000, "5.28903");
        test(256500, "5.29066");
        test(257000, "5.29229");
        test(257500, "5.29392");
        test(258000, "5.29555");
        test(258500, "5.29717");
        test(259000, "5.29880");
        test(259500, "5.30040");
        test(260000, "5.30202");
        test(260500, "5.30363");
        test(261000, "5.30524");
        test(261500, "5.30684");
        test(262000, "5.30844");
        test(262500, "5.31003");
        test(263000, "5.31162");
        test(263500, "5.31321");
        test(264000, "5.31481");
        test(264500, "5.31639");
        test(265000, "5.31797");
        test(265500, "5.31954");
        test(266000, "5.32111");
        test(266500, "5.32269");
        test(267000, "5.32425");
        test(267500, "5.32582");
        test(268000, "5.32738");
        test(268500, "5.32894");
        test(269000, "5.33049");
        test(269500, "5.33204");
        test(270000, "5.33359");
        test(270500, "5.33513");
        test(271000, "5.33668");
        test(271500, "5.33822");
        test(272000, "5.33975");
        test(272500, "5.34128");
        test(273000, "5.34281");
        test(273500, "5.34433");
        test(274000, "5.34586");
        test(274500, "5.34738");
        test(275000, "5.34890");
        test(275500, "5.35042");
        test(276000, "5.35193");
        test(276500, "5.35344");
        test(277000, "5.35494");
        test(277500, "5.35644");
        test(278000, "5.35794");
        test(278500, "5.35944");
        test(279000, "5.36093");
        test(279500, "5.36243");
        test(280000, "5.36391");
        test(280500, "5.36539");
        test(281000, "5.36688");
        test(281500, "5.36836");
        test(282000, "5.36983");
        test(282500, "5.37130");
        test(283000, "5.37278");
        test(283500, "5.37424");
        test(284000, "5.37571");
        test(284500, "5.37717");
        test(285000, "5.37863");
        test(285500, "5.38008");
        test(286000, "5.38154");
        test(286500, "5.38299");
        test(287000, "5.38444");
        test(287500, "5.38588");
        test(288000, "5.38732");
        test(288500, "5.38876");
        test(289000, "5.39020");
        test(289500, "5.39163");
        test(290000, "5.39307");
        test(290500, "5.39450");
        test(291000, "5.39591");
        test(291500, "5.39734");
        test(292000, "5.39876");
        test(292500, "5.40017");
        test(293000, "5.40159");
        test(293500, "5.40300");
        test(294000, "5.40441");
        test(294500, "5.40582");
        test(295000, "5.40722");
        test(295500, "5.40862");
        test(296000, "5.41002");
        test(296500, "5.41142");
        test(297000, "5.41280");
        test(297500, "5.41419");
        test(298000, "5.41558");
        test(298500, "5.41697");
        test(299000, "5.41835");
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        test(300000, "5.42110");
        test(300500, "5.42248");
        test(301000, "5.42385");
        test(301500, "5.42522");
        test(302000, "5.42659");
        test(302500, "5.42795");
        test(303000, "5.42931");
        test(303500, "5.43067");
        test(304000, "5.43203");
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        test(305000, "5.43474");
        test(305500, "5.43609");
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        test(307000, "5.44012");
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        test(308000, "5.44279");
        test(308500, "5.44413");
        test(309000, "5.44546");
        test(309500, "5.44679");
        test(310000, "5.44811");
        test(310500, "5.44943");
        test(311000, "5.45076");
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        test(312000, "5.45339");
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        test(313000, "5.45602");
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        test(314000, "5.45864");
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        test(315000, "5.46124");
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        test(316000, "5.46384");
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        test(317000, "5.46643");
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        test(319000, "5.47157");
        test(319500, "5.47285");
        test(320000, "5.47413");
        test(320500, "5.47540");
        test(321000, "5.47668");
        test(321500, "5.47795");
        test(322000, "5.47922");
        test(322500, "5.48048");
        test(323000, "5.48175");
        test(323500, "5.48301");
        test(324000, "5.48427");
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        test(325000, "5.48678");
        test(325500, "5.48804");
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        test(326500, "5.49054");
        test(327000, "5.49178");
        test(327500, "5.49303");
        test(328000, "5.49427");
        test(328500, "5.49551");
        test(329000, "5.49675");
        test(329500, "5.49798");
        test(330000, "5.49922");
        test(330500, "5.50044");
        test(331000, "5.50167");
        test(331500, "5.50290");
        test(332000, "5.50412");
        test(332500, "5.50534");
        test(333000, "5.50656");
        test(333500, "5.50778");
        test(334000, "5.50899");
        test(334500, "5.51021");
        test(335000, "5.51142");
        test(335500, "5.51263");
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        test(336500, "5.51504");
        test(337000, "5.51625");
        test(337500, "5.51744");
        test(338000, "5.51865");
        test(338500, "5.51984");
        test(339000, "5.52103");
        test(339500, "5.52222");
        test(340000, "5.52341");
        test(340500, "5.52460");
        test(341000, "5.52578");
        test(341500, "5.52697");
        test(342000, "5.52815");
        test(342500, "5.52933");
        test(343000, "5.53050");
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        test(345000, "5.53519");
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        test(346500, "5.53868");
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        test(347500, "5.54100");
        test(348000, "5.54216");
        test(348500, "5.54331");
        test(349000, "5.54447");
        test(349500, "5.54561");
        test(350000, "5.54677");
        test(350500, "5.54791");
        test(351000, "5.54905");
        test(351500, "5.55020");
        test(352000, "5.55134");
        test(352500, "5.55247");
        test(353000, "5.55361");
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        test(356000, "5.56039");
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        test(357000, "5.56263");
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        test(358000, "5.56487");
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        test(359000, "5.56710");
        test(359500, "5.56821");
        test(360000, "5.56932");
        test(360500, "5.57042");
        test(361000, "5.57153");
        test(361500, "5.57264");
        test(362000, "5.57374");
        test(362500, "5.57484");
        test(363000, "5.57593");
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        test(364000, "5.57812");
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        test(365000, "5.58030");
        test(365500, "5.58140");
        test(366000, "5.58248");
        test(366500, "5.58356");
        test(367000, "5.58465");
        test(367500, "5.58573");
        test(368000, "5.58681");
        test(368500, "5.58789");
        test(369000, "5.58896");
        test(369500, "5.59004");
        test(370000, "5.59110");
        test(370500, "5.59217");
        test(371000, "5.59324");
        test(371500, "5.59431");
        test(372000, "5.59537");
        test(372500, "5.59644");
        test(373000, "5.59750");
        test(373500, "5.59855");
        test(374000, "5.59961");
        test(374500, "5.60067");
        test(375000, "5.60172");
        test(375500, "5.60277");
        test(376000, "5.60383");
        test(376500, "5.60487");
        test(377000, "5.60592");
        test(377500, "5.60697");
        test(378000, "5.60801");
        test(378500, "5.60905");
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        test(379500, "5.61113");
        test(380000, "5.61216");
        test(380500, "5.61320");
        test(381000, "5.61423");
        test(381500, "5.61526");
        test(382000, "5.61629");
        test(382500, "5.61732");
        test(383000, "5.61835");
        test(383500, "5.61937");
        test(384000, "5.62039");
        test(384500, "5.62141");
        test(385000, "5.62243");
        test(385500, "5.62345");
        test(386000, "5.62446");
        test(386500, "5.62548");
        test(387000, "5.62649");
        test(387500, "5.62750");
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        test(388500, "5.62952");
        test(389000, "5.63052");
        test(389500, "5.63153");
        test(390000, "5.63253");
        test(390500, "5.63353");
        test(391000, "5.63453");
        test(391500, "5.63553");
        test(392000, "5.63652");
        test(392500, "5.63752");
        test(393000, "5.63851");
        test(393500, "5.63950");
        test(394000, "5.64048");
        test(394500, "5.64147");
        test(395000, "5.64246");
        test(395500, "5.64345");
        test(396000, "5.64443");
        test(396500, "5.64541");
        test(397000, "5.64638");
        test(397500, "5.64737");
        test(398000, "5.64834");
        test(398500, "5.64932");
        test(399000, "5.65029");
        test(399500, "5.65126");
        test(400000, "5.65223");
        test(400500, "5.65320");
        test(401000, "5.65416");
        test(401500, "5.65513");
        test(402000, "5.65610");
        test(402500, "5.65705");
        test(403000, "5.65801");
        test(403500, "5.65897");
        test(404000, "5.65993");
        test(404500, "5.66089");
        test(405000, "5.66184");
        test(405500, "5.66279");
        test(406000, "5.66374");
        test(406500, "5.66470");
        test(407000, "5.66564");
        test(407500, "5.66659");
        test(408000, "5.66753");
        test(408500, "5.66848");
        test(409000, "5.66942");
        test(409500, "5.67036");
        test(410000, "5.67130");
        test(410500, "5.67224");
        test(411000, "5.67317");
        test(411500, "5.67410");
        test(412000, "5.67504");
        test(412500, "5.67597");
        test(413000, "5.67690");
        test(413500, "5.67783");
        test(414000, "5.67875");
        test(414500, "5.67968");
        test(415000, "5.68060");
        test(415500, "5.68152");
        test(416000, "5.68245");
        test(416500, "5.68336");
        test(417000, "5.68428");
        test(417500, "5.68520");
        test(418000, "5.68611");
        test(418500, "5.68703");
        test(419000, "5.68794");
        test(419500, "5.68885");
        test(420000, "5.68976");
        test(420500, "5.69066");
        test(421000, "5.69157");
        test(421500, "5.69248");
        test(422000, "5.69338");
        test(422500, "5.69428");
        test(423000, "5.69518");
        test(423500, "5.69608");
        test(424000, "5.69698");
        test(424500, "5.69787");
        test(425000, "5.69877");
        test(425500, "5.69966");
        test(426000, "5.70056");
        test(426500, "5.70144");
        test(427000, "5.70233");
        test(427500, "5.70322");
        test(428000, "5.70411");
        test(428500, "5.70499");
        test(429000, "5.70588");
        test(429500, "5.70676");
        test(430000, "5.70763");
        test(430500, "5.70852");
        test(431000, "5.70940");
        test(431500, "5.71027");
        test(432000, "5.71114");
        test(432500, "5.71202");
        test(433000, "5.71289");
        test(433500, "5.71376");
        test(434000, "5.71463");
        test(434500, "5.71550");
        test(435000, "5.71637");
        test(435500, "5.71723");
        test(436000, "5.71810");
        test(436500, "5.71895");
        test(437000, "5.71982");
        test(437500, "5.72068");
        test(438000, "5.72154");
        test(438500, "5.72239");
        test(439000, "5.72326");
        test(439500, "5.72410");
        test(440000, "5.72496");
        test(440500, "5.72581");
        test(441000, "5.72666");
        test(441500, "5.72751");
        test(442000, "5.72836");
        test(442500, "5.72920");
        test(443500, "5.73090");
        test(443000, "5.73005");
        test(444000, "5.73174");
        test(445000, "5.73342");
        test(446000, "5.73510");
        test(447000, "5.73677");
        test(448000, "5.73843");
        test(444500, "5.73258");
        test(445500, "5.73426");
        test(446500, "5.73594");
        test(447500, "5.73760");
        test(448500, "5.73926");
        test(449000, "5.74010");
        test(449500, "5.74092");
        test(450000, "5.74175");
        test(451000, "5.74340");
        test(452000, "5.74504");
        test(453000, "5.74668");
        test(454000, "5.74832");
        test(455000, "5.74995");
        test(456000, "5.75157");
        test(457000, "5.75320");
        test(458000, "5.75481");
        test(459000, "5.75642");
        test(460000, "5.75802");
        test(450500, "5.74257");
        test(451500, "5.74422");
        test(452500, "5.74587");
        test(453500, "5.74750");
        test(454500, "5.74914");
        test(455500, "5.75076");
        test(456500, "5.75239");
        test(457500, "5.75401");
        test(458500, "5.75562");
        test(459500, "5.75723");
        test(460500, "5.75883");
        test(461000, "5.75963");
        test(461500, "5.76043");
        test(462000, "5.76123");
        test(462500, "5.76202");
        test(463000, "5.76282");
        test(463500, "5.76361");
        test(464000, "5.76440");
        test(464500, "5.76519");
        test(465000, "5.76598");
        test(465500, "5.76677");
        test(466000, "5.76756");
        test(466500, "5.76835");
        test(467000, "5.76913");
        test(467500, "5.76991");
        test(468000, "5.77070");
        test(468500, "5.77148");
        test(469000, "5.77226");
        test(469500, "5.77304");
        test(470000, "5.77381");
        test(470500, "5.77459");
        test(471000, "5.77536");
        test(471500, "5.77614");
        test(472000, "5.77692");
        test(472500, "5.77769");
        test(473000, "5.77846");
        test(473500, "5.77923");
        test(474000, "5.78000");
        test(474500, "5.78076");
        test(475000, "5.78153");
        test(475500, "5.78229");
        test(476000, "5.78306");
        test(476500, "5.78382");
        test(477000, "5.78458");
        test(477500, "5.78534");
        test(478000, "5.78610");
        test(478500, "5.78686");
        test(479000, "5.78762");
        test(479500, "5.78837");
        test(480000, "5.78913");
        test(480500, "5.78988");
        test(481000, "5.79064");
        test(481500, "5.79139");
        test(482000, "5.79214");
        test(482500, "5.79288");
        test(483000, "5.79364");
        test(483500, "5.79438");
        test(484000, "5.79513");
        test(484500, "5.79587");
        test(485000, "5.79662");
        test(485500, "5.79736");
        test(486000, "5.79810");
        test(486500, "5.79884");
        test(487000, "5.79958");
        test(487500, "5.80032");
        test(488000, "5.80106");
        test(488500, "5.80179");
        test(489000, "5.80253");
        test(489500, "5.80326");
        test(490000, "5.80399");
        test(490500, "5.80472");
        test(491000, "5.80545");
        test(491500, "5.80619");
        test(492000, "5.80691");
        test(492500, "5.80764");
        test(493000, "5.80837");
        test(493500, "5.80909");
        test(494000, "5.80981");
        test(494500, "5.81054");
        test(495000, "5.81126");
        test(495500, "5.81198");
        test(496000, "5.81270");
        test(496500, "5.81342");
        test(497000, "5.81413");
        test(497500, "5.81486");
        test(498000, "5.81557");
        test(498500, "5.81629");
        test(499000, "5.81700");
        test(499500, "5.81771");
        test(500000, "5.81842");
        test(501000, "5.81984");
        test(502000, "5.82126");
        test(503000, "5.82267");
        test(504000, "5.82407");
        test(505000, "5.82548");
        test(506000, "5.82688");
        test(507000, "5.82827");
        test(508000, "5.82966");
        test(509000, "5.83105");
        test(510000, "5.83244");
        test(511000, "5.83381");
        test(512000, "5.83519");
        test(513000, "5.83656");
        test(514000, "5.83792");
        test(515000, "5.83929");
        test(516000, "5.84065");
        test(517000, "5.84200");
        test(518000, "5.84335");
        test(519000, "5.84470");
        test(520000, "5.84604");
        test(521000, "5.84738");
        test(522000, "5.84872");
        test(523000, "5.85005");
        test(524000, "5.85138");
        test(525000, "5.85270");
        test(526000, "5.85402");
        test(527000, "5.85534");
        test(528000, "5.85665");
        test(529000, "5.85796");
        test(530000, "5.85927");
        test(531000, "5.86057");
        test(532000, "5.86186");
        test(533000, "5.86316");
        test(534000, "5.86445");
        test(535000, "5.86574");
        test(536000, "5.86702");
        test(537000, "5.86830");
        test(538000, "5.86958");
        test(539000, "5.87085");
        test(540000, "5.87211");
        test(541000, "5.87338");
        test(542000, "5.87464");
        test(543000, "5.87590");
        test(544000, "5.87716");
        test(545000, "5.87841");
        test(546000, "5.87965");
        test(547000, "5.88090");
        test(548000, "5.88214");
        test(549000, "5.88337");
        test(550000, "5.88461");
        test(551000, "5.88584");
        test(552000, "5.88707");
        test(553000, "5.88829");
        test(554000, "5.88951");
        test(555000, "5.89073");
        test(556000, "5.89194");
        test(557000, "5.89315");
        test(558000, "5.89435");
        test(559000, "5.89556");
        test(560000, "5.89676");
        test(561000, "5.89795");
        test(562000, "5.89915");
        test(563000, "5.90034");
        test(564000, "5.90152");
        test(565000, "5.90271");
        test(566000, "5.90389");
        test(567000, "5.90506");
        test(568000, "5.90623");
        test(569000, "5.90740");
        test(570000, "5.90857");
        test(571000, "5.90974");
        test(572000, "5.91090");
        test(573000, "5.91205");
        test(574000, "5.91321");
        test(575000, "5.91436");
        test(576000, "5.91551");
        test(577000, "5.91665");
        test(578000, "5.91779");
        test(579000, "5.91893");
        test(580000, "5.92006");
        test(581000, "5.92120");
        test(582000, "5.92233");
        test(583000, "5.92345");
        test(584000, "5.92458");
        test(585000, "5.92570");
        test(586000, "5.92681");
        test(587000, "5.92793");
        test(588000, "5.92904");
        test(589000, "5.93015");
        test(590000, "5.93125");
        test(591000, "5.93235");
        test(592000, "5.93346");
        test(593000, "5.93455");
        test(594000, "5.93564");
        test(595000, "5.93673");
        test(596000, "5.93782");
        test(597000, "5.93890");
        test(598000, "5.93999");
        test(599000, "5.94107");
        test(600000, "5.94214");
        test(601000, "5.94322");
        test(602000, "5.94428");
        test(603000, "5.94535");
        test(604000, "5.94642");
        test(605000, "5.94748");
        test(606000, "5.94854");
        test(607000, "5.94959");
        test(608000, "5.95065");
        test(609000, "5.95169");
        test(610000, "5.95274");
        test(611000, "5.95379");
        test(612000, "5.95483");
        test(613000, "5.95587");
        test(614000, "5.95690");
        test(615000, "5.95794");
        test(616000, "5.95897");
        test(617000, "5.96000");
        test(618000, "5.96102");
        test(619000, "5.96205");
        test(620000, "5.96307");
        test(621000, "5.96408");
        test(622000, "5.96510");
        test(623000, "5.96611");
        test(624000, "5.96712");
        test(625000, "5.96813");
        test(626000, "5.96913");
        test(627000, "5.97014");
        test(628000, "5.97113");
        test(629000, "5.97213");
        test(630000, "5.97313");
        test(631000, "5.97412");
        test(632000, "5.97510");
        test(633000, "5.97609");
        test(634000, "5.97708");
        test(635000, "5.97806");
        test(636000, "5.97903");
        test(637000, "5.98001");
        test(638000, "5.98098");
        test(639000, "5.98195");
        test(640000, "5.98292");
        test(641000, "5.98389");
        test(642000, "5.98485");
        test(643000, "5.98582");
        test(644000, "5.98677");
        test(645000, "5.98773");
        test(646000, "5.98868");
        test(647000, "5.98963");
        test(648000, "5.99058");
        test(649000, "5.99153");
        test(650000, "5.99247");
        test(651000, "5.99341");
        test(652000, "5.99435");
        test(653000, "5.99529");
        test(654000, "5.99622");
        test(655000, "5.99716");
        test(656000, "5.99809");
        test(657000, "5.99901");
        test(658000, "5.99994");
        test(659000, "6.00086");
        test(660000, "6.00178");
        test(661000, "6.00270");
        test(662000, "6.00362");
        test(663000, "6.00453");
        test(664000, "6.00544");
        test(665000, "6.00635");
        test(666000, "6.00725");
        test(667000, "6.00815");
        test(668000, "6.00906");
        test(669000, "6.00996");
        test(670000, "6.01086");
        test(671000, "6.01175");
        test(672000, "6.01264");
        test(673000, "6.01354");
        test(674000, "6.01442");
        test(675000, "6.01531");
        test(676000, "6.01619");
        test(677000, "6.01708");
        test(678000, "6.01795");
        test(679000, "6.01883");
        test(680000, "6.01971");
        test(681000, "6.02058");
        test(682000, "6.02145");
        test(683000, "6.02232");
        test(684000, "6.02319");
        test(685000, "6.02405");
        test(686000, "6.02491");
        test(687000, "6.02577");
        test(688000, "6.02663");
        test(689000, "6.02748");
        test(690000, "6.02834");
        test(691000, "6.02919");
        test(692000, "6.03004");
        test(693000, "6.03089");
        test(694000, "6.03173");
        test(695000, "6.03258");
        test(696000, "6.03342");
        test(697000, "6.03426");
        test(698000, "6.03509");
        test(699000, "6.03593");
        test(700000, "6.03676");
        test(701000, "6.03759");
        test(702000, "6.03842");
        test(703000, "6.03925");
        test(704000, "6.04007");
        test(705000, "6.04090");
        test(706000, "6.04172");
        test(707000, "6.04254");
        test(708000, "6.04335");
        test(709000, "6.04417");
        test(710000, "6.04498");
        test(711000, "6.04579");
        test(712000, "6.04660");
        test(713000, "6.04741");
        test(714000, "6.04821");
        test(715000, "6.04902");
        test(716000, "6.04982");
        test(717000, "6.05062");
        test(718000, "6.05141");
        test(719000, "6.05221");
        test(720000, "6.05300");
        test(721000, "6.05380");
        test(722000, "6.05459");
        test(723000, "6.05538");
        test(724000, "6.05616");
        test(725000, "6.05694");
        test(726000, "6.05773");
        test(727000, "6.05851");
        test(728000, "6.05928");
        test(729000, "6.06006");
        test(730000, "6.06084");
        test(731000, "6.06161");
        test(732000, "6.06238");
        test(733000, "6.06315");
        test(734000, "6.06392");
        test(735000, "6.06468");
        test(736000, "6.06545");
        test(737000, "6.06621");
        test(738000, "6.06697");
        test(739000, "6.06773");
        test(740000, "6.06849");
        test(741000, "6.06924");
        test(742000, "6.06999");
        test(743000, "6.07075");
        test(744000, "6.07149");
        test(745000, "6.07224");
        test(746000, "6.07299");
        test(747000, "6.07373");
        test(748000, "6.07448");
        test(749000, "6.07521");
        test(750000, "6.07595");
        test(751000, "6.07669");
        test(752000, "6.07743");
        test(753000, "6.07816");
        test(754000, "6.07890");
        test(755000, "6.07963");
        test(756000, "6.08035");
        test(757000, "6.08108");
        test(758000, "6.08181");
        test(759000, "6.08253");
        test(760000, "6.08325");
        test(761000, "6.08397");
        test(762000, "6.08469");
        test(763000, "6.08541");
        test(764000, "6.08612");
        test(765000, "6.08684");
        test(766000, "6.08755");
        test(767000, "6.08826");
        test(768000, "6.08897");
        test(769000, "6.08967");
        test(770000, "6.09038");
        test(771000, "6.09108");
        test(772000, "6.09178");
        test(773000, "6.09249");
        test(774000, "6.09319");
        test(775000, "6.09389");
        test(776000, "6.09458");
        test(777000, "6.09528");
        test(778000, "6.09597");
        test(779000, "6.09666");
        test(780000, "6.09735");
        test(781000, "6.09804");
        test(782000, "6.09872");
        test(783000, "6.09941");
        test(784000, "6.10009");
        test(785000, "6.10077");
        test(786000, "6.10145");
        test(787000, "6.10213");
        test(788000, "6.10281");
        test(789000, "6.10348");
        test(790000, "6.10416");
        test(791000, "6.10483");
        test(792000, "6.10550");
        test(793000, "6.10617");
        test(794000, "6.10684");
        test(795000, "6.10751");
        test(796000, "6.10817");
        test(797000, "6.10884");
        test(798000, "6.10950");
        test(799000, "6.11016");
        test(800000, "6.11082");
        test(801000, "6.11147");
        test(802000, "6.11213");
        test(803000, "6.11279");
        test(804000, "6.11344");
        test(805000, "6.11409");
        test(806000, "6.11474");
        test(807000, "6.11539");
        test(808000, "6.11604");
        test(809000, "6.11668");
        test(810000, "6.11733");
        test(811000, "6.11797");
        test(812000, "6.11861");
        test(813000, "6.11925");
        test(814000, "6.11989");
        test(815000, "6.12053");
        test(816000, "6.12117");
        test(817000, "6.12180");
        test(818000, "6.12243");
        test(819000, "6.12306");
        test(820000, "6.12370");
        test(821000, "6.12432");
        test(822000, "6.12495");
        test(823000, "6.12558");
        test(824000, "6.12620");
        test(825000, "6.12683");
        test(826000, "6.12745");
        test(827000, "6.12807");
        test(828000, "6.12869");
        test(829000, "6.12931");
        test(830000, "6.12992");
        test(831000, "6.13054");
        test(832000, "6.13115");
        test(833000, "6.13176");
        test(834000, "6.13238");
        //test(835000,"6.13298");
        test(836000, "6.13359");
        test(837000, "6.13420");
        test(838000, "6.13481");
        test(839000, "6.13541");
        test(840000, "6.13601");
        test(841000, "6.13662");
        test(842000, "6.13722");
        test(843000, "6.13782");
        test(844000, "6.13842");
        test(845000, "6.13901");
        test(846000, "6.13961");
        test(847000, "6.14020");
        test(848000, "6.14080");
        test(849000, "6.14139");
        test(850000, "6.14198");
        test(851000, "6.14257");
        test(852000, "6.14315");
        test(853000, "6.14374");
        test(854000, "6.14433");
        test(855000, "6.14491");
        test(856000, "6.14550");
        test(857000, "6.14608");
        test(858000, "6.14666");
        test(859000, "6.14724");
        test(860000, "6.14782");
        test(861000, "6.14839");
        test(862000, "6.14897");
        test(863000, "6.14954");
        test(864000, "6.15012");
        test(865000, "6.15069");
        test(866000, "6.15126");
        test(867000, "6.15183");
        test(868000, "6.15240");
        test(869000, "6.15296");
        test(870000, "6.15353");
        test(871000, "6.15409");
        test(872000, "6.15466");
        test(873000, "6.15522");
        test(874000, "6.15578");
        test(875000, "6.15634");
        test(876000, "6.15690");
        test(877000, "6.15746");
        test(878000, "6.15801");
        test(879000, "6.15857");
        test(880000, "6.15912");
        test(881000, "6.15968");
        test(882000, "6.16023");
        test(883000, "6.16078");
        test(884000, "6.16133");
        test(885000, "6.16188");
        test(886000, "6.16242");
        test(887000, "6.16297");
        test(888000, "6.16351");
        test(889000, "6.16406");
        test(890000, "6.16460");
        test(891000, "6.16514");
        test(892000, "6.16568");
        test(893000, "6.16622");
        test(894000, "6.16676");
        test(895000, "6.16730");
        test(896000, "6.16783");
        test(897000, "6.16837");
        test(898000, "6.16890");
        test(899000, "6.16944");
        test(900000, "6.16997");
        test(901000, "6.17050");
        test(902000, "6.17103");
        test(903000, "6.17155");
        test(904000, "6.17208");
        test(905000, "6.17261");
        test(906000, "6.17313");
        test(907000, "6.17366");
        test(908000, "6.17418");
        test(909000, "6.17470");
        test(910000, "6.17522");
        test(911000, "6.17574");
        test(912000, "6.17626");
        test(913000, "6.17678");
        test(914000, "6.17729");
        test(915000, "6.17781");
        test(916000, "6.17833");
        test(917000, "6.17884");
        test(918000, "6.17935");
        test(919000, "6.17986");
        test(920000, "6.18037");
        test(921000, "6.18088");
        test(922000, "6.18139");
        test(923000, "6.18189");
        test(924000, "6.18240");
        test(925000, "6.18291");
        test(926000, "6.18341");
        test(927000, "6.18391");
        test(928000, "6.18442");
        test(929000, "6.18491");
        test(930000, "6.18542");
        test(931000, "6.18592");
        test(932000, "6.18642");
        test(933000, "6.18691");
        test(934000, "6.18741");
        test(935000, "6.18790");
        test(936000, "6.18840");
        test(937000, "6.18889");
        test(938000, "6.18938");
        test(939000, "6.18987");
        test(940000, "6.19036");
        test(941000, "6.19085");
        test(942000, "6.19134");
        test(943000, "6.19183");
        test(944000, "6.19231");
        test(945000, "6.19280");
        test(946000, "6.19328");
        test(947000, "6.19377");
        test(948000, "6.19425");
        test(949000, "6.19473");
        test(950000, "6.19521");
        test(951000, "6.19569");
        test(952000, "6.19617");
        test(953000, "6.19665");
        test(954000, "6.19712");
        test(955000, "6.19760");
        test(956000, "6.19807");
        test(957000, "6.19855");
        test(958000, "6.19902");
        test(959000, "6.19949");
        test(960000, "6.19996");
        test(961000, "6.20043");
        test(962000, "6.20090");
        test(963000, "6.20137");
        test(964000, "6.20184");
        test(965000, "6.20230");
        test(966000, "6.20277");
        test(967000, "6.20323");
        test(968000, "6.20370");
        test(969000, "6.20416");
        test(970000, "6.20462");
        test(971000, "6.20508");
        test(972000, "6.20554");
        test(973000, "6.20600");
        test(974000, "6.20646");
        test(975000, "6.20692");
        test(976000, "6.20738");
        test(977000, "6.20783");
        test(978000, "6.20829");
        test(979000, "6.20874");
        test(980000, "6.20919");
        test(981000, "6.20965");
        test(982000, "6.21010");
        test(983000, "6.21055");
        test(984000, "6.21100");
        test(985000, "6.21144");
        test(986000, "6.21189");
        test(987000, "6.21234");
        test(988000, "6.21279");
        test(989000, "6.21323");
        test(990000, "6.21368");
        test(991000, "6.21412");
        test(992000, "6.21456");
        test(993000, "6.21501");
        test(994000, "6.21545");
        test(995000, "6.21589");
        test(996000, "6.21633");
        test(997000, "6.21676");
        test(998000, "6.21720");
        test(999000, "6.21764");
        test(1000000, "6.21807");
        test(1010000, "6.22239");
        test(1020000, "6.22662");
        test(1030000, "6.23078");
        test(1040000, "6.23486");
        test(1050000, "6.23887");
        test(1060000, "6.24280");
        test(1070000, "6.24666");
        test(1080000, "6.25046");
        test(1090000, "6.25418");
        test(1100000, "6.25784");
        test(1110000, "6.26144");
        test(1120000, "6.26498");
        test(1130000, "6.26845");
        test(1140000, "6.27187");
        test(1150000, "6.27523");
        test(1160000, "6.27852");
        test(1170000, "6.28177");
        test(1180000, "6.28497");
        test(1190000, "6.28811");
        test(1200000, "6.29119");
        test(1210000, "6.29424");
        test(1220000, "6.29723");
        test(1230000, "6.30017");
        test(1240000, "6.30307");
        test(1250000, "6.30592");
        test(1260000, "6.30872");
        test(1270000, "6.31149");
        test(1280000, "6.31421");
        test(1290000, "6.31689");
        test(1300000, "6.31953");
        test(1310000, "6.32213");
        test(1320000, "6.32469");
        test(1330000, "6.32721");
        test(1340000, "6.32969");
        test(1350000, "6.33214");
        test(1360000, "6.33456");
        test(1370000, "6.33694");
        test(1380000, "6.33928");
        test(1390000, "6.34159");
        test(1400000, "6.34387");
        test(1410000, "6.34612");
        test(1420000, "6.34833");
        test(1430000, "6.35052");
        test(1440000, "6.35267");
        test(1450000, "6.35479");
        test(1460000, "6.35689");
        test(1470000, "6.35896");
        test(1480000, "6.36100");
        test(1490000, "6.36301");
        test(1500000, "6.36500");
        test(1510000, "6.36696");
        test(1520000, "6.36889");
        test(1530000, "6.37080");
        test(1540000, "6.37269");
        test(1550000, "6.37455");
        test(1560000, "6.37638");
        test(1570000, "6.37820");
        test(1580000, "6.37999");
        test(1590000, "6.38175");
        test(1600000, "6.38350");
        test(1610000, "6.38523");
        test(1620000, "6.38693");
        test(1630000, "6.38861");
        test(1640000, "6.39027");
        test(1650000, "6.39191");
        test(1660000, "6.39354");
        test(1670000, "6.39514");
        test(1680000, "6.39672");
        test(1690000, "6.39829");
        test(1700000, "6.39984");
        test(1710000, "6.40136");
        test(1720000, "6.40288");
        test(1730000, "6.40437");
        test(1740000, "6.40585");
        test(1750000, "6.40730");
        test(1760000, "6.40875");
        test(1770000, "6.41018");
        test(1780000, "6.41158");
        test(1790000, "6.41298");
        test(1800000, "6.41436");
        test(1810000, "6.41573");
        test(1820000, "6.41708");
        test(1830000, "6.41841");
        test(1840000, "6.41973");
        test(1850000, "6.42104");
        test(1860000, "6.42233");
        test(1870000, "6.42361");
        test(1880000, "6.42487");
        test(1890000, "6.42612");
        test(1900000, "6.42736");
        test(1910000, "6.42858");
        test(1920000, "6.42980");
        test(1930000, "6.43100");
        test(1940000, "6.43218");
        test(1950000, "6.43336");
        test(1960000, "6.43452");
        test(1970000, "6.43567");
        test(1980000, "6.43681");
        test(1990000, "6.43794");
        test(2000000, "6.43906");
    }

}