Human Gene Functions 题意: LCS: 设dp[i][j]为前i,j的最长公共序列长度: dp[i][j] = dp[i-1][j-1]+1;(a[i] == b[j]) dp[i][j] = max(dp[i][j-1],dp[i-1][j]); 边界:dp[0][j] = 0(j<b.size) ,dp[i][0] = 0(i< a.size); LCS变形: 设dp[i][j]为前i,j的最大价值: value(x, y)为比较价值: dp[i][j] = max(d…

题目链接: http://poj.org/problem?id=1080 Human Gene Functions Time Limit: 1000MS   Memory Limit: 10000K Total Submissions: 20430   Accepted: 11396 Description It is well known that a human gene can be considered as a sequence, consisting of four nucleoti…

Color Length(UVA-1625)(DP LCS变形) 题目大意 输入两个长度分别为n,m(<5000)的颜色序列.要求按顺序合成同一个序列,即每次可以把一个序列开头的颜色放到新序列的尾部. https://odzkskevi.qnssl.com/a68cbd3e27f46b4f02ea12b7b1a1abca 然后产生的新序列中,对于每一个颜色c,都有出现的位置,L(c)表示最小位置和最大位置之差,求L(c)总和最小的新序列. 分析 LCS 是公共上升子序列,在动态转移的过程中,考虑…

Human Gene Functions Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 2799    Accepted Submission(s): 1587 Problem Description It is well known that a human gene can be considered as a sequence,…

Advanced Fruits Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 2358    Accepted Submission(s): 1201Special Judge Problem Description The company "21st Century Fruits" has specialized in cr…

Human Gene Functions Time Limit: 1000MS   Memory Limit: 10000K Total Submissions: 17206   Accepted: 9568 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…

感觉就是最长公共子序列的一个变形(虽然我也没做过LCS啦= =). 转移方程见代码吧.这里有一个要说的地方,如果a[i] == a[j]的时候,为什么不需要像不等于的时候那样减去一个dp[i-1][j-1]呢?其实是要减去的,然后我们注意+1是什么呢?这两个位置是相同的,那么这一对组合是1,然后包含这一个,在dp[i-1][j-1]中相同的又可以拿出来加一遍了,因此就抵消了~ 代码如下: #include <stdio.h> #include <algorithm> #includ…

题目:http://acm.hust.edu.cn/vjudge/contest/view.action?cid=107450#problem/C 题意:输入两个字符串,找一个最短的串,使得输入的两个串均是他的子序列,统计长度最短的串的个数: 分析:最短串的长度就等于a串长度 + b串长度 - LCS( a, b ) 借鉴于 c[i][j]表示a串前i个元素和b串前j个元素所能得到的方案数.l[i][j]表示LCS的长度 若a[i]=b[j],那么c[i][j]=c[i-1][j-1],即a串前…

题目链接:http://poj.org/problem?id=2192 http://acm.split.hdu.edu.cn/showproblem.php?pid=5707 http://acm.split.hdu.edu.cn/showproblem.php?pid=1501 这三道题除了输入输出格式不一样,其他都一样,意思是给你三个字符串,问你能不能由前两个组成第三个,要按顺序: 但是hdu5707和poj2192数据太水,直接判断字符个数,然后一个一个的判断先后顺序是否满足即可,但是这…

题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=4681 题目大意:给定三个字符串A,B,C 求最长的串D,要求(1)D是A的字序列 (2)D是B的子序列 (3)C是D的连续子序列 Sample Input 2 aaaaa aaaa aa abcdef acebdf cf   Sample Output Case #1: 4 Case #2: 3   Hint For test one, D is "aaaa", and for test…