4-1 Iterative Mergesort (9分)
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4-1 Iterative Mergesort (9分)
How would you implement mergesort without using recursion?
The idea of iterative mergesort is to start from N sorted sublists of length 1, and each time to merge a pair of adjacent sublists until one sorted list is obtained. You are supposed to implement the key function of merging.
Format of functions:
void merge_pass( ElementType list[], ElementType sorted[], int N, int length );
The function merge_pass
performs one pass of the merge sort that merges adjacent pairs of sublists fromlist
into sorted
. N
is the number of elements in thelist
and length
is the length of the sublists.
Sample program of judge:
#include <stdio.h>#define ElementType int#define MAXN 100void merge_pass( ElementType list[], ElementType sorted[], int N, int length );void output( ElementType list[], int N ){ int i; for (i=0; i<N; i++) printf("%d ", list[i]); printf("\n");}void merge_sort( ElementType list[], int N ){ ElementType extra[MAXN]; /* the extra space required */ int length = 1; /* current length of sublist being merged */ while( length < N ) { merge_pass( list, extra, N, length ); /* merge list into extra */ output( extra, N ); length *= 2; merge_pass( extra, list, N, length ); /* merge extra back to list */ output( list, N ); length *= 2; }} int main(){ int N, i; ElementType A[MAXN]; scanf("%d", &N); for (i=0; i<N; i++) scanf("%d", &A[i]); merge_sort(A, N); output(A, N); return 0;}/* Your function will be put here */
Sample Input:
108 7 9 2 3 5 1 6 4 0
Sample Output:
7 8 2 9 3 5 1 6 0 4 2 7 8 9 1 3 5 6 0 4 1 2 3 5 6 7 8 9 0 4 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9
void merge_pass( ElementType list[], ElementType sorted[], int N, int length ){int temp;if(length>N)return ;int i,j=0,count1=0,count2=0;int M=N;count1=0;count2=length;int start,end;int t1,t2;//printf("%d %d %d\n",count2,length,N);for(i=0;i<(N-1)/(2*length)+1;i++){t1=0;t2=0;if(i!=(N-1)/(2*length)){start=i*length*2;end=start+length;while(t1+t2!=2*length){if((list[t1+start]<=list[t2+end]||t2==length)&&t1<length){sorted[j++]=list[start+t1++];}if((list[t1+start]>=list[t2+end]||t1==length)&&t2<length){sorted[j++]=list[end+t2++];}}}else{if((N-1)%(2*length)+1<=length){while(j++<N)sorted[j-1]=list[j-1];}else{start=N-(N-1)%(2*length)-1;end=start+length;while(t1+t2!=N-start){if((list[t1+start]<=list[t2+end]||t2==N-end)&&t1<length){sorted[j++]=list[start+t1++];}if((list[t1+start]>=list[t2+end]||t1==length)&&t2<N-end){sorted[j++]=list[end+t2++];}}}}}}
感想:最重要的一点,理解题意,就算最后剩余的个数不足以完成归并排序,也要强行归并起来!!!不然最后一个点过不了
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