poj 1007 DNA Sorting
2014-05-11 22:06
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DNA Sorting
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.
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 (0 < 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''. Since two strings can be equally sorted, then output them according to the orginal order.
Sample Input
Sample Output
Source
East Central North America 1998
简单的算逆序数 再按从大到小一次输出 第一次用结构体。。。。。。
Time Limit: 1000MS | Memory Limit: 10000K | |
Total Submissions: 80359 | Accepted: 32327 |
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.
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 (0 < 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''. Since two strings can be equally sorted, then output them according to the orginal order.
Sample Input
10 6 AACATGAAGG TTTTGGCCAA TTTGGCCAAA GATCAGATTT CCCGGGGGGA ATCGATGCAT
Sample Output
CCCGGGGGGA AACATGAAGG GATCAGATTT ATCGATGCAT TTTTGGCCAA TTTGGCCAAA
Source
East Central North America 1998
简单的算逆序数 再按从大到小一次输出 第一次用结构体。。。。。。
#include<iostream> #include<cstdio> #include<cstring> #include<algorithm> using namespace std; struct H { int l; char s[55]; }a[105]; int cmp(H b,H c) { return b.l<c.l; } int main() { int i,j,k,n,m; while(cin>>n>>m) { memset(a,0,sizeof(a)); for(i=0;i<m;i++) { scanf("%s",&a[i].s); //printf("%d\n",a[i].l); } for(i=0;i<m;i++) { for(k=0;k<n;k++) { for(j=k+1;j<n;j++) { if(a[i].s[k]>a[i].s[j]) a[i].l++; } //cout<<a[i].l<<" "; } //cout<<endl; } sort(a,a+m,cmp); for(i=0;i<m;i++) { //printf("%d\n",a[i].l); puts(a[i].s); } } return 0; }
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