题意: 人类基因由A.C.G.T组成. 有一张5*5的基因表.每格有一个值,叫相似度.例:A-C:-3.意思是如果A和C配对, 则它俩的相似度是-3[P.S.:-和-没有相似度,即-和-不能配对] 现在给两条基因片段.(长度不一定相等) 现在你要在两条基因片段中插入若干个-(空白基因),使得两个基因片段长度相等,且得到的整体相似度的值最大.[再次P.S.:-和-不能配对] 思路: 因为-和-不能匹配,所以插入的-的个数是有限的. str1的第一个基因可以与str1的第一个或-配对.然后,,,,很…

最长公共子序列的变形 题目大意:给出两个基因序列,求这两个序列的最大相似度. 题目中的表格给出了两两脱氧核苷酸的相似度. 状态转移方程为: dp[i][j] = max(dp[i-1][j]+Similarity(s1[i], '-'),                     dp[i][j-1]+Similarity(s2[j], '-'),                     dp[i-1][j-1]+Similarity(s1[i], s2[j])); 注意边界的初始化. //#de…

传送门 题目大意: 将两个字符串对齐(只包含ACGT,可以用'-'占位),按照对齐分数表(参见题目)来计算最后的分数之和,输出最大的和. 例如:AGTGATG 和 GTTAG ,对齐后就是(为了表达对齐,这里我用m表示'-') AGTGATG mGTTAmG 题目分析: 首先看出这道题与LCS有关,下面来考虑转移: 当t1[i]==t2[j]时,和LCS一样,\(dp[i][j] = dp[i-1][j-1]+score[t1[i]][t2[j]]\) 当t1[i]!=t2[j]时,唯一不同的是…

题目:http://poj.org/problem?id=1080 题意:比较两个基因序列,测定它们的相似度,将两个基因排成直线,如果需要的话插入空格,使基因的长度相等,然后根据那个表格计算出相似度. 题解: 考虑f[i][j]: ①    s1取第i个,s2取第j个, f[i][j] = f[i-1][j-1]+value[m(s1[i])][m(s2[j])]; ②    s1取第i个,s2用’-’, f[i][j] = f[i][j-1]+value[m(s1[i])][m(‘-’)];…

Human Gene Functions Time Limit: 1000MS   Memory Limit: 10000K Total Submissions: 17805   Accepted: 9917 Description It is well known that a human gene can be considered as a sequence, consisting of four nucleotides, which are simply denoted by four…

Human Gene Functions Time Limit: 1000MS   Memory Limit: 10000K Total Submissions: 19573   Accepted: 10919 Description It is well known that a human gene can be considered as a sequence, consisting of four nucleotides, which are simply denoted by four…

题目链接: http://poj.org/problem?id=1080 题目大意: 给两个由A.C.T.G四个字符组成的字符串,可以在两串中加入-,使得两串长度相等. 每两个字符匹配时都有个值,求怎样安排使得总的值最大,两个-不能匹配. 解题思路: 这题转化一下就是一个裸的最长公共子串问题,只不过要求匹配时长度一样. dp[i][j]表示第一串的第前i个字符和第二串的前j个字符匹配时,能达到的最大值. 初始化时注意dp[0][j]和dp[j][0]不能为零,为相应字符与-匹配时的总和. 代码:…

题意:有两个代表基因序列的字符串s1和s2,在两个基因序列中通过添加"-"来使得两个序列等长:其中每对基因匹配时会形成题中图片所示匹配值,求所能得到的总的最大匹配值. 题解:这题运用dp的解法是借用了求最长公共子序列的方法,,定义dp[i][j]代表s1以第i位结尾的串和s2以第j位结尾的串匹配时所能得到的最大匹配值:那么状态转移方程为:dp[i][j]=max( dp[i-1][j-1]+s1[i]和s2[j]的匹配值 , dp[i-1][j]+s1[i]和'-'的匹配值 , dp[…

题目地址:http://poj.org/problem?id=1080 Description It is well known that a human gene can be considered as a sequence, consisting of four nucleotides, which are simply denoted by four letters, A, C, G, and T. Biologists have been interested in identifyi…

题面 It is well known that a human gene can be considered as a sequence, consisting of four nucleotides, which are simply denoted by four letters, A, C, G, and T. Biologists have been interested in identifying human genes and determining their function…