It is almost always mentioned in dynamic planning. It is a classic topic .....
# Include # include int DP [500] [500]; int LCS (char * str1, char * str2, int len1, int len2) {If (DP [len1] [len2]! =-1) {return DP [len1] [len2];} If (len1 = 0 |
A little bit ............ Originally, it was easy to write a lot of data to save the two rows, but it was actually quite simple after writing it.
Is to record each comparison may be covered by the two points [I-1] [J-1] and [I-1] [J] can be
[Description]: two strings s1s2... are given ...... Sn and T1 T2 ...... Tn. Find the longest length of the two strings that are common to your sub-sequence. String S1 S2 ...... The sub-sequence of Sn indicates that it can be expressed as Si1 i2 .....
Description Input Output Sample Input 35 3 4 15 3 110 2 2 3 3100 1 100 1 2 Sample output 4350 Question: calculate the number of elements with the same equidifference Sequence Idea: first, we can assume that the solution is F1 + D1 * k1
Human Gene FunctionsTime Limit: 1000 MS Memory Limit: 10000 KTotal Submissions: 14197 Accepted: 7864DescriptionIt is well known that a human gene can be considered as a sequence, consisting of four nucleus otides, which are simply denoted by four
In a n x n chessboard, Prince and Princess plays a game. The squares in the chessboard are numbered 1, 2, 3 ... n*n, as shown below:
Prince stands in square 1, make p jumps and finally reach Square n*n. He enters a square at most once. So if we
10405-longest Common subsequence
Time limit:3.000 seconds
Http://uva.onlinejudge.org/index.php?option=com_onlinejudge&Itemid=8&category=114&page=show_ problem&problem=1346
Sequence 1:
Sequence 2: Given two
531-compromise
Time limit:3.000 seconds
Http://uva.onlinejudge.org/index.php?option=com_onlinejudge&Itemid=8&category=24&page=show_problem &problem=472
Note Use a global variable flag to determine whether to output spaces.
Complete code:
/*0.029
/* * Copyleft@hustyangju * question: Longest common subsequece problem * idea: from bottom to top, using dynamic programming, dividing sub- Problem, using the length variation of the LCS sub-problem to obtain the LCS * Time complexity O (m*n) *
(Http://acm.hust.edu.cn/vjudge/contest/view.action?cid=106071#problem/A) Test instructions: Ask the longest identical substring of a/b Solution: Directly construct a suffix automaton, make a wave of LCP just fine.
#include #include #include
longest Common substring-suffix automaton
This article will start with the longest common substring, the gradual explanation of the suffix automata, I hope that through their own understanding to help everyone, the article directory is as follows:
"Dog planing Learning net Zhuangao, reproduced please specify the source" Dog Planing Learning Network reports/esports and Moba has become a very hot in the industry in recent years, according to riot Games published data show that 2014 "League of Heroes" S4 Korea finals at the peak of the simultaneous viewing of the number of 11.2 million people, According to SuperData in October 2014, "League of Legends" Revenue will exceed $1.1 billion in 2014 year
same), it is not difficult to prove using the reverse proof: This character must be the last character of any of the longest common subsequences of X and y z (set length to K, there is zk = XM = YN and obviously there is a Zk-1 in LCS (Xm-1, Yn-1) That is Z prefixZk-1 is the longest common subsequence of Xm-1 and Yn-1. At this time, the question is to find the Xm-1 and Yn-1 LCS (The length of
" and find a longest common subsequence of "a0,a1,...,am-1" and "B0,b1,...,bn-2", Then take the older elders as the longest common subsequence of a and B.Define LCS[I][J] for the length of the longest common subsequence of the sequence "a0,a1,...,ai-1" and "b0,b1,...,bj-1", the calculation Lcs[i][j] can be recursively expressed as follows:(1) Lcs[i][j] = 0 if i=0
in the order of the strings in another string,Then, string 1 is called a substring of string 2.
Note that the character of a substring (string 1) must appear in string 2 consecutively.Compile a function, enter two strings, calculate their longest public substrings, and print the longest public substrings.For example, input two strings: BDCABA and ABCBDAB. Both BCBA and BDAB are their longest common substrings,The output length is 4 and any substring is printed.
Analysis: finding the Longest Co
The CLS is a good early question ... Very classic Ah ...For a string s s with a length of n N, how many string T t of length M M makes the LCS (S,T) LCS (s,t) 0,1...N 0,1...N respectively.
We want to be able to use a f[j][{lcs[1][j],lcs[2][j],lcs[3][j]...
lcss1= ' Mzjawxu ', s2= ' Xmjyauz ', careful analysis, it can be seen that the longest common subsequence is "Mjau", dp problem (Dynamic planning problem). Dynamic programming Problem: the solution of the current problem relies on the previous sub-problem, and the last sub-problem is dependent on the previous sub-problem, and the sub-problem is infinite recursion. Remember:
Xi=﹤x1,?,xi﹥ is the first I character (1≤i≤m) (prefix) of the x sequence
Yj=﹤y1,?,yj﹥ is the first J charact
One, the problem descriptionGiven two strings, the longest common subsequence of the two strings (longest Common Sequence) is solved. For example, string 1:bDCaBA; string 2: ABCBdabThe longest common subsequence length for these two strings is 4, and the longest common subsequence is: BCBASecond, the algorithm solvesThis is a topic of dynamic planning. For the problem of available dynamic programming, there are generally two characteristics: ① optimal substructure; ② overlapping sub-problem① Opt
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