Test instructions: Given a string that lets you turn it into a palindrome, add a minimum number of characters.Analysis: Dynamic planning is very obvious, is not the current thinking, or ask others just know, oh, originally either write, since it is palindrome string,So the final pros and cons have to be the same, so we have to ask for LCS, so that the public to find out, then use the total minus this LCS,Th
The LCS problem, also known as the longest common subsequence problem, is a simpler one in DP, so let's take a brief look at it today.Set S1:aeglegllelgelSet S2:lregelgeglegTo find the maximum common subsequence length of a two stringOutput: 8DP[I][J] represents the maximum common subsequence length that is obtained from the first J of the S1 and S2.Transfer equation:Dp[i][j]=0 (i==0| | j==0)Dp[i][j]=max (Dp[i-1][j-1]+same (i,j), Max (dp[i-1][j],dp[i]
The classic longest common subsequence problem.The state transition equation is:if (x[i] = = Y[j]) dp[i, j] = Dp[i-1, j-1] +1else dp[i, j] = Max (dp[i-1], J, Dp[i, J-1]);With string x and string Y,dp[i, J] represents the longest common subsequence length of the first I-character of X and the first J-character of Y.If x[i] = = Y[j], then this character and the previous LCS must be able to form a new LCS;If x
Topic Link: Click to open the linkTest instructions pit. Originally a look at the bare LCS, but the input in the title is not the original sequence, but the original sequence, but the position of the original sequence. For example 3 1 2 is not s[1]=3 but 1 in the sequence position is 3 i.e. s[3]=1; (s[x]=i;)Then enter the processing on the bare LCS.#include Uva 111-history Grading (DP/
Click to open Hangzhou electric 1159Problem Descriptiona subsequence of a given sequence is the given sequence with some elements (possible none) left out. Given a sequence x = The program input was from a text file. Each data set in the file contains the strings representing the given sequences. The sequences is separated by any number of white spaces. The input data is correct. For each set of data the program prints on the standard output the length of the maximum-length common subsequence fr
"Binary enumeration +lcs" Card Hand sorting topic descriptionWhen dealt cards in the card game plump it was a good idea-to-start by sorting the cards-hand by suit and rank. The different suits should be grouped and the ranks should is sorted within each suit. But the order of the suits does isn't matter and within each suit, the cards is sorted in either ascending or descending Order on rank. It is allowed for some suits to being sorted in ascending o
Solve the longest public subsequence problem:
Solution:
For example, the given two sequences are x =
The template can be written
void lcss(){ int i,j; int sizex=str1.length(); int sizey=str2.length(); for(i=0;iView code
You can also compress the array:
memset(lcs,0,sizeof(lcs)); for(i=1;iView code
Training Questions:
Http://acm.hdu.edu.cn/diy/contest_show.php? Cid = 245
LCS (Longest Common Subsequence), lcssubsequenceProblem descriptionLongest Common subsequence, abbreviated as LCS (Longest Com # include
Mon Subsequence ). It is defined as a sequence S. If it is a subsequence of two or more known sequences, and it is the longest of all sequences that meet this condition, S is the longest common subsequence of known sequences. The longest public substrings (requiring conti
This year, Alibaba's pen test questions come with a continuous public substring.
Thought 1: At that time, my first response was to find out all the substrings of a shorter string and then use these substrings (first with a longer length) remove long strings for matching. Later I thought the efficiency was too low.
Train of Thought 2: To solve the discontinuous LCS problem, first fill in the table and then find it in the table.
Code Implementation
LCS: two sequences S1 and S2 are given. The largest public part of these two sequences S3 is the longest public subsequence of S1 and S2. PUBLIC PART
It must appear in the same order, but it does not need to be continuous.
LCS has the optimal sub-structure and satisfies the overlapping sub-problems. Therefore, we can use dynamic planning to solve the LCS problem.
Note the difference between the longest common substring (longest commonsubstring) and the longest common subsequence (Longestcommon subsequence, LCS): a substring (Substring) is a contiguous part of a string, A subsequence (subsequence) is a new sequence obtained by removing any element from a sequence without altering the order of the sequence, or, more simply, the position of the character of the former (substring) must be continuous, and the latte
Label: algorithm ACM DP
HDU 1503 advanced fruits (LCS deformation and output solution)
Http://acm.hdu.edu.cn/showproblem.php? PID = 1, 1503
Question:
Give you two strings S1 and S2. You need to output them and string S. s1 is a sub-sequence of S, S2 is a sub-sequence of S, and s is the shortest string that meets the preceding requirements.
Analysis:
For example, DP [I] [J] = X indicates that the length of the
I just introduced the weak LCS (longest common substring), and now I want to introduce an application of its powerful functions.
First, let's take a look at the question:
[Title Description] (vijos1327) A return word is a symmetric string-that is, a return word reads from left to right and reads from right to left to get the same result. Any given string can be converted into a return word by inserting several characters. Your task is to write a pro
least one and does not exceed 100.Outputthe output should print the similarity of each test case, one per line. Sample InputSample Outputthe meaning of the title is:Given two strings A, b, where two of the letters 22 correspond to a weight, and two strings can be arbitrarily added spaces, so that more characters can correspond, such as given two genes AGTGATG and Gttag, can be writtenAgtgat-g-gt--tagThe final corresponding weights are the score of the alignment above is (-3) +5+5+ (-2) + (-3) +
DescriptionAlice and Bob want to go on holiday. Each of them have planned a route, which is a list of the cities to being visited in a given order. A route may contain a city more than once.As they want to travel together, they has to agree on a common route. None wants to change the order of the cities on his or hers route or add other cities. Therefore they has no choice but to remove some cities from the route. Of course the common route should be as long as possible.There is exactly-cities i
The longest common subsequence (LCS) is the classic DP problem, which is the LCS of the sequence A[1...N], b[1..m].The status is Dp[i][j], which represents the LCS of A[1..I],B[1..J].The DP transfer equation isdp[i][j]=Dp[i-1][j-1]+1, a[i] = = B[j]max{dp[i][j-1], Dp[i-1][j]}, a[i]! = B[i]----------------------------------------------------------------------------
HDU 5495 LCS (query set judgment ring)
[General idea ]:
Problem Description You are given two sequence
{A1, a2,...,}
And
{B1, b2,..., bn}
. Both sequences are permutation
{1, 2,..., n}
. You are going to find another permutation
{P1, p2,..., pn}
Such that the length of LCS (longest common subsequence)
{Ap1, ap2,..., apn}
And
{Bp1, bp2,..., bpn}
Is maximum.
Input There are multiple test ca
Sub-sequences require that the elements be in the same order, and the strings must be contiguous. such as Abcbdab and Bdcaba two strings, the longest common subsequence has BCBA, Bdab, and Bcab, while the longest common string is only AB and bdLongest common sub-sequenceLaw one: Poor lifting methodCheck the string x all word sequences, a total of 2^m, check whether it appears in the Y string, each need O (n), time complexity is exponential.Law II: Dynamic Programming (DP)Place two strings x[1...
http://blog.csdn.net/ice_crazy/article/details/8244639This 5000*5000 out of memory, so you need to use a scrolling array:Using a now to represent the current result, the pre represents the previous result, and keeps scrolling#include #includestring>#include#include#include#include#include#include#include#include#include#include#includeSet>#include#includeusing namespacestd;#defineMem (A, B) memset (A,b,sizeof (a))#definePF printf#defineSF scanf#defineSPF sprintf#definePB Push_back#defineDebug pr
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