Circular Sequence

最新推荐文章于 2021-12-24 09:56:02 发布

Techay

最新推荐文章于 2021-12-24 09:56:02 发布

阅读量287

点赞数

CC 4.0 BY-SA版权

分类专栏：模拟

本文链接：https://blog.youkuaiyun.com/Techay/article/details/47005831

模拟专栏收录该内容

22 篇文章

订阅专栏

本文介绍了一个算法问题：如何从给定的环状DNA序列中找到字典序最小的线性序列。通过将环状序列展开并枚举所有可能的切割位置来获取不同的线性序列，最终选择字典序最小的那个作为结果。

摘要生成于 C知道，由 DeepSeek-R1 满血版支持，前往体验 >

Description
Download as PDF
Some DNA sequences exist in circular forms as in the following figure, which shows a circular sequence CGAGTCAGCT", that is, the last symbolT” in CGAGTCAGCT" is connected to the first symbolC”. We always read a circular sequence in the clockwise direction.
\epsfbox{p3225.eps}
Since it is not easy to store a circular sequence in a computer as it is, we decided to store it as a linear sequence. However, there can be many linear sequences that are obtained from a circular sequence by cutting any place of the circular sequence. Hence, we also decided to store the linear sequence that is lexicographically smallest among all linear sequences that can be obtained from a circular sequence.
Your task is to find the lexicographically smallest sequence from a given circular sequence. For the example in the figure, the lexicographically smallest sequence is “AGCTCGAGTC”. If there are two or more linear sequences that are lexicographically smallest, you are to find any one of them (in fact, they are the same).
Input
The input consists of T test cases. The number of test cases T is given on the first line of the input file. Each test case takes one line containing a circular sequence that is written as an arbitrary linear sequence. Since the circular sequences are DNA sequences, only four symbols, A, C, G and T, are allowed. Each sequence has length at least 2 and at most 100.
Output
Print exactly one line for each test case. The line is to contain the lexicographically smallest sequence for the test case.
The following shows sample input and output for two test cases.
Sample Input
2
CGAGTCAGCT
CTCC
Sample Output
AGCTCGAGTC
CCCT
一个字符串摆成一个圆，顺时针找字典序最小的，暴力比较。

#include<cstdio>
#include<cstring>
#include<iostream>
#include<string>
#include<string.h>
#include<queue>
#include<algorithm>
using namespace std;
char a[105];
int main()
{
    int i, j, m, n, ans, t, len;
    string temp1, temp2, temp3;
    cin >> t;
    while (t--)
    {
        cin >> temp1;
        temp3 = temp1;
        len = temp1.size();
        for (i = 0; i < len; i++)
        {
            temp2 = "";
            for (j = i; j < len; j++)
                temp2 += temp1[j];
            for (j = 0; j < i; j++)
                temp2 += temp1[j];
            if (temp2 < temp3)
                temp3 = temp2;
        }
        cout << temp3 << endl;
    }
    return 0;
}