数据结构中基于分治策略的排序算法探讨ξ

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25320069()JournalofYananUniversity(NaturalScienceEdition)Vol.25No.3Sept2006X1,2,3,1,2(1.;2.;3.;716000)::,,,:;;;;:TP301:A:10042602X(2006)0320015203,(),,:nR1,R2,,Rn,K1,K2,,Kn,1,2,,ni1,i2,,in,Ri1,Ri2,,Rin,Ki1FKi2FFKin(Ki1EKi2EEKin),:1,:nk,,k,,,,,,,,,[1],[2]:Divide-and-Conquer(PB){if(ûPBû=n0)jbzsf(PB);dividePBintosmallersubinstancesPB1,PB2,,PBk;for(i=1,i=k,i++)yi=Divide-and-Conquer(PBi);returnMerge(y1,y1,,yk);},ûPBûPB,n0,PBn0,,jbzsf(PB),PB,PBn0,jbzsf(PB)Merge(y1,y2,,yk),PBPB1,PB2,,PBky1,y2,,ykPB2X:20060404:(1962),,,,::nnö2;:;:,[3][2]:Mergesort(A[0..n-1])öömergesortA[0..n-1]öö:B[0..p-1]C[0..q-1]öö:A[0..n-1]ifn1copyA[0..nö2-1]toB[0..nö2-1]copyA[nö2..n-1]toC[0..nö2-1]Mergesort(B[0..nö2-1])Mergesort(C[0..nö2-1])Merge(B,C,A)Merge,:Merge(B[0..p-1],C[0..q-1],A[0..p+q-1])öööö:B[0..p-1]C[0..q-1]öö:A[0..p+q-1]BCi0;j0;k0whileipandjqdoifB[i]FC[j]A[k]B[i];ii+1elseA[k]C[j];jj+1kk+1ifi=pcopyC[j..q-1]toA[k..p+q-1]elsecopyB[i..p-1]toA[k..p+q-1]MergecopyO(n),T(n)T(n)=O(1)nF12T(nö2)+O(n)n1T(n)=O(nlog2n),8(nlog2n),3,:A[p..r],:A[q]A[p..r]A[p..q-1]A[q+1..r](),:A[p..q-1]A[q+1..r],q;:,A[p..q-1]A[q+1..r];:,,A[p..r],:Quicksort(A[p..r])ööQuicksortöö:A[0..n-1]A[p..r],pröö:A[p..r]ifprsPartition(A[p..r])öösisasplitpo2sitionQuicksort(A[p..q-1])Quicksort(A[q+1..r])Partition,:Partition(A[p..r])öö,öö:A[0..n-1]A[p..r],pröö:A[p..r],kA[p]ip;jr+1repeatrepeatii+1untilA[i]krepeatjj-1untilA[j]kswap(A[i],A[j])untilijswap(A[i],A[j])swap(A[p],A[j])returnj,O(nlog2n)461()25,,,,;mergesort,,partition,,,,:[1].[M].:,2002.982103[2]AnanyLevitin.[M].:,2003.1212132[3].[M].:,2005.28233TheSortingAlgorithmoftheDataStructureontheDivide-and-conquerTechniqueMAYan1,2,ZHANGCheng3,XUChun1,2(1.CollegeofComputerScience,Yan’an;2.SoftwareR&DCenter,Yan’an;3.ComputerCenter,Yan’an,Shaanxi716000)Abstract:Thesortingalgorithmonthebasisofthedivide2and2conquertechniguearediscussed,approachofthealgorithmaregiven,generalmodeofthealgorithm’srealizationaredesigned,andsomeimprovedalgo2rithmareintroduced.Keywords:sort;mergesort;quicksort;divide2and2conquer;recursion(48)structurallycharacterizedbyelementalanalysis,IRspectrum,thermogravimetricanalysis,andsinglecrystalX2raydiffraction.Theresultsshowthatthecomplexismonoclinic,withspacegroupC2öc,a=1.4883(2)nm,b=1.3835(2)nm,c=0.70283(10)nm,A=90,B=108.545,C=90;Z=4,R=0.0231Thecrystalstructureofcomplexconsistsofacopper(II)asulfateligandtwophensandtwocoordinationwatermolecules.thedistortedoctahedralcomplexofcopper(II)bridgedthroughbidentatesulfateligandsformsadimensionalchainsalongtheaaxisofthecell.Thesetwoone2dimensionalchainsformanoveldoublechainsstructurealongtheaaxisofthecellbyP2PstackinginteractionsandtheC2HOhydrogenbetweentwochains,furthmore,ThesecoordinationpolymerchainsarefurtherorganizedbytwodifferentIntermolecularhydrogenbonds(C2HOandO2HO)toafforda3Dsupramolecularstructure.Keywords:copper(II)complex;DTSA;moleculedoublechains;crystalstructure713,:

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