1089. Insert or Merge (25)

时间限制

200 ms

内存限制

65536 kB

代码长度限制

16000 B

判题程序

Standard

作者

CHEN, Yue

According to Wikipedia:

Insertion sort iterates, consuming one input element each repetition, and growing a sorted output list. Each iteration, insertion sort removes one element from the input data, finds the location it belongs within the sorted list, and inserts it there. It repeats until no input elements remain.

Merge sort works as follows: Divide the unsorted list into N sublists, each containing 1 element (a list of 1 element is considered sorted). Then repeatedly merge two adjacent sublists to produce new sorted sublists until there is only 1 sublist remaining.

Now given the initial sequence of integers, together with a sequence which is a result of several iterations of some sorting method, can you tell which sorting method we are using?

Input Specification:

Each input file contains one test case. For each case, the first line gives a positive integer N (<=100). Then in the next line, N integers are given as the initial sequence. The last line contains the partially sorted sequence of the N numbers. It is assumed that the target sequence is always ascending. All the numbers in a line are separated by a space.

Output Specification:

For each test case, print in the first line either "Insertion Sort" or "Merge Sort" to indicate the method used to obtain the partial result. Then run this method for one more iteration and output in the second line the resulting sequence. It is guaranteed that the answer is unique for each test case. All the numbers in a line must be separated by a space, and there must be no extra space at the end of the line.

Sample Input 1:

10
3 1 2 8 7 5 9 4 6 0
1 2 3 7 8 5 9 4 6 0

Sample Output 1:

Insertion Sort
1 2 3 5 7 8 9 4 6 0

Sample Input 2:

10
3 1 2 8 7 5 9 4 0 6
1 3 2 8 5 7 4 9 0 6

Sample Output 2:

Merge Sort
1 2 3 8 4 5 7 9 0 6

这里的插入排序和非递归的归并，要注意。

  1 #include<cstdio>
  2 #include<cmath>
  3 #include<cstring>
  4 #include<stack>
  5 #include<algorithm>
  6 #include<iostream>
  7 #include<stack>
  8 #include<set>
  9 #include<map>
 10 #include<vector>
 11 #include<queue>
 12 using namespace std;
 13 int line[105],order[105],line1[105];
 14 /*void HeapSort(int *order,int n){
 15     int i=n-1;
 16     while(order[i]>order[(i-1)/2]){
 17         i--;
 18     }
 19     int temp=order[i];
 20     order[i]=order[0];
 21     int j=1;//最小左节点
 22     for(;j<i;j=2*j+1){
 23         if(j+1<i&&order[j+1]>order[j]){
 24             j++;
 25         }
 26         if(order[j]>temp){
 27             order[(j-1)/2]=order[j];
 28         }
 29     }
 30     order[(j-1)/2]=temp;
 31 }*/
 32 void Merge(int order[],int temp[],int l,int r,int e){
 33     int i=l,j=r,p=l;
 34     while(i<r&&j<=e){
 35         if(order[i]<order[j]){
 36             temp[p++]=order[i++];
 37         }
 38         else{
 39             temp[p++]=order[j++];
 40         }
 41     }
 42     while(i<r){
 43         temp[p++]=order[i++];
 44     }
 45     while(j<=e){
 46         temp[p++]=order[j++];
 47     }
 48 }
 49 void Merge_pass(int order[],int temp[],int n,int len){
 50     int i;
 51     for(i=0;i<=n-2*len;i+=2*len){
 52         Merge(order,temp,i,i+len,i+2*len-1);
 53     }
 54     if(i+len<n){
 55         Merge(order,temp,i,i+len,n-1);//Merge(i,i+len,n-1);
 56     }
 57     else{
 58         while(i<n){
 59             temp[i]=order[i];
 60             i++;
 61         }
 62     }
 63 }
 64 void MergeSort(int *line,int *order,int n){
 65     int *temp=new int[n+1];
 66     int len=1,i;
 67     while(len<n){
 68         Merge_pass(line,temp,n,len);
 69         for(i=0;i<n;i++){
 70             line[i]=temp[i];
 71             //cout<<i<<" "<<line[i]<<endl;
 72         }
 73         for(i=0;i<n;i++){
 74             if(line[i]!=order[i]){
 75                 break;
 76             }
 77         }
 78         if(i==n){
 79             break;
 80         }
 81         len*=2;
 82     }
 83     if(len<n){
 84         Merge_pass(temp,order,n,len*2);
 85         /*for(i=0;i<n;i++){
 86             cout<<i<<" "<<order[i]<<endl;
 87         }*/
 88     }
 89     delete []temp;
 90 }
 91 int main()
 92 {
 93     //freopen("D:\\INPUT.txt","r",stdin);
 94     int n;
 95     scanf("%d",&n);
 96     int i,j;
 97     for(i=0;i<n;i++){
 98         scanf("%d",&line[i]);
 99         line1[i]=line[i];
100     }
101     for(i=0;i<n;i++){
102         scanf("%d",&order[i]);
103     }
104     for(i=1;i<n;i++){
105         int temp=line[i];
106         for(j=i;j>=1&&line[j-1]>temp;j--){
107             line[j]=line[j-1];
108         }
109         line[j]=temp;
110         for(j=0;j<n;j++){
111             if(line[j]!=order[j]){
112                 break;
113             }
114         }
115         if(j==n){
116             break;
117         }
118     }
119     if(i==n){//merge sort
120         printf("Merge Sort\n");
121         MergeSort(line1,order,n);
122     }
123     else{//insertion sort
124         printf("Insertion Sort\n");
125         i++;
126         int temp=order[i];
127         for(j=i;j>=1&&order[j-1]>temp;j--){//i一定要指向最后
128             order[j]=order[j-1];
129         }
130         order[j]=temp;
131     }
132     printf("%d",order[0]);
133     for(i=1;i<n;i++){
134         printf(" %d",order[i]);
135     }
136     printf("\n");
137     return 0;
138 }