DNA SortingTime Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others) Problem Description
One measure of ``unsortedness'' in a sequence is the number of pairs of entries that are out of order with respect to each other. For instance, in the letter sequence ``DAABEC'', this measure is 5, since D is greater than four letters to its right and E is greater than one letter to its right. This measure is called the number of inversions in the sequence. The sequence ``AACEDGG'' has only one inversion (E and D)--it is nearly sorted--while the sequence ``ZWQM'' has 6 inversions (it is as unsorted as can be--exactly the reverse of sorted).
You are responsible for cataloguing a sequence of DNA strings (sequences containing only the four letters A, C, G, and T). However, you want to catalog them, not in alphabetical order, but rather in order of ``sortedness'', from ``most sorted'' to ``least sorted''. All the strings are of the same length. This problem contains multiple test cases! The first line of a multiple input is an integer N, then a blank line followed by N input blocks. Each input block is in the format indicated in the problem description. There is a blank line between input blocks. The output format consists of N output blocks. There is a blank line between output blocks. Input
The first line contains two integers: a positive integer n (0 < n <= 50) giving the length of the strings; and a positive integer m (1 < m <= 100) giving the number of strings. These are followed by m lines, each containing a string of length n.
Output
Output the list of input strings, arranged from ``most sorted'' to ``least sorted''. If two or more strings are equally sorted, list them in the same order they are in the input file.
Sample Input
1 10 6 AACATGAAGG TTTTGGCCAA TTTGGCCAAA GATCAGATTT CCCGGGGGGA ATCGATGCAT
Sample Output
CCCGGGGGGA AACATGAAGG GATCAGATTT ATCGATGCAT TTTTGGCCAA TTTGGCCAAA
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思路:从小到大排列。。。不好说,看题;
代码:
#include<stdio.h>
#include<algorithm>
using namespace std;
typedef struct{
int num;
char str[];
}node;
int cmp(node a,node b){
return a.num<b.num;
}
int search(int n,char *a){int flot=;
for(int i=;i<n;++i){
for(int j=i+;j<n;++j){
if(a[j]-a[i]<)flot++;
}
}
return flot;
}
int main(){
int m,n,T;
node dna[];
scanf("%d",&T);
while(T--){scanf("%d%d",&n,&m);
int i=;
for(int i=;i<m;++i){
scanf("%s",dna[i].str);
dna[i].num=search(n,dna[i].str);
}
sort(dna,dna+m,cmp);
for(int i=;i<m;++i)printf("%s\n",dna[i].str);
}
return ;
}
快排:
#include<stdio.h>
#include<algorithm>
#include<string.h>
using namespace std;
typedef struct{
int num;
char str[];
}node;
node dna[];
int search(int n,char *a){
int flot=;
for(int i=;i<n;++i){
for(int j=i+;j<n;++j){
if(a[j]-a[i]<)flot++;
}
}
return flot;
}
void Swap(node &a, node &b){
swap(a.num, b.num);
char s[];
strcpy(s, a.str);
strcpy(a.str, b.str);
strcpy(b.str, s);
}
int handle(int l, int r){
int j = l - ;
for(int i = l; i <= r; i++){
if(dna[i].num <= dna[r].num){
j++;
Swap(dna[i], dna[j]);
}
}
return j;
}
void quiksort(int l, int r){
int m;
if(l < r){
m = handle(l, r);
quiksort(l, m - );
quiksort(m + , r);
}
}
int main(){
int m,n,T; scanf("%d",&T);
while(T--){scanf("%d%d",&n,&m);
int i=;
for(int i=;i<m;++i){
scanf("%s",dna[i].str);
dna[i].num=search(n,dna[i].str);
}
quiksort(, m - );
for(int i=;i<m;++i)printf("%s\n",dna[i].str);
}
return ;
}