One, 0-1 knapsack problemInput: The number of items in the first row N, the second line of backpack quality m, then the n row each row gives each item weight and value, each item only one.Output: Maximum value the backpack can achieveSample input:5 101 52 43 34 25 1Sample output:14In the process of dynamic planning, you need to reverse the order, because if not reverseWhen the i=0f[0]=0;F[1]=max (f[1],f[1-w

01 backpack, full backpack, multiple backpack, and mixed backpack Problems
P01: 01 backpack Problems
Question
There are n items and a backpack with a capacity of v. The cost of the I-th item is C [I], and the value is W [I]. Solvi

First of all, dynamic planning, dynamic planning this thing and recursion, can only find local relations, if you want to all listed, it is difficult, such as Hanoi. You can say that all the other layers except the last layer are moved to 2, and then the last layer to move to 3, and finally the rest from 2 to 3, this is an intuitive relationship, but it is difficult to list out, perhaps when the number of n=3 can also be simulated under, and then larger is impossible, so, such as recursion, Dynam

----- Edit by zhusenlin HDU
I talked about "01 backpack" in my blog "backpack problem-" 01 backpack "Optimal Solution Total Number Analysis and Implementation" and "backpack problem-" full backpack "Optimal Solution Total Number Analysis and Implementation ". "and" full

Backpack 01 Backpack, full backpack, multi-backpack detailed
PS: We feel that the writing is passable, help me to the top of the blog, thank you.
First of all, dynamic planning, dynamic planning this thing and recursion, can only find local relations, if you want to all listed, it is difficult, such as Hanoi. You can

01 Backpack
There are n different items, each item has two attributes, size volume, value value, now to a backpack with a capacity of W, ask the most can take away how much value of the goods.
int f[w+1]; F[X] Indicates the maximum value for the backpack capacity X for
(int i=0; i
Full backpack
If the item does

----- Edit by ZhuSenlin HDU
The full backpack is in NTypeSeveral items (the same item can be selected multiple times) are selected and placed in a backpack with a space of V.TypeThe size of an item is C1, C2 ,..., Cn, corresponding value: W1, W2 ,..., Wn. Solve how to install items to maximize the total value of items in the backpack.
Dynamic Planning (DP ):
1) s

P01: 01 backpack ProblemsQuestionThere are n items and a backpack with a capacity of v. The cost of the I-th item is C [I], and the value is W [I]. Solving which items are loaded into a backpack can maximize the total value.
Basic IdeasThis is the most basic problem with a backpack. It features that each item has onl

0-1 BackpackApril 30, 2012 yx.ac Comment Read review article author: yx.ac article source: Yong-lucky | Thinking (http://www.ahathinking.com) Reprint Please specify, thank you for your cooperation.
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April has not written, can not so wasted ah, hurriedly water an article, haha. Review some of the basics of DP a few days ago, just do it and start with 0-1 backpacks.
This section reviews the basic model of the 0-1 backpack, about its implementation th

Backpack problem is very classic, "backpack problem Nine" speak very detailed, suggest to take a look.
Here, I want to give 0-1 backpacks and complete backpack compression space after the implementation, that is, as long as a one-dimensional array.
The 0-1 backpack, unlike the complete

problem Description Many years ago, in Teddy ' s hometown there were a man he was called " Bone Collector ". Collect varies of bones, such as dog ' s, cow ' s, also he went to the grave ... The Bone collector had a big bag with a volume of V, and along he trip of collecting there is a lot of bone s, obviously, different bone have different value and different volume, now given the all bone ' s value along his trip, Can calculate out the maximum of the total value the bone collector can get

Preface
Recently, the following things are annoying:
I almost had to submit a project application to the school. I originally wanted to create a multi-mode IM system. However, compared with projects that passed the review in the past, there was no innovation or research value, therefore, you need to do more work in the document.
This is the case for a large number of jobs in each phase.
The open source code of directui has never been improved.
Prepare for the software design competition at t

One, 01 backpackThere are n items and a backpack with a capacity of V. The price of item I (i.e. volume, hereinafter) is w[i], the value is c[i]. The solution of which items are loaded into the backpack allows the sum of the costs of these items to be no more than the backpack capacity and the maximum value.This is the most basic knapsack problem, the overall poi

Hdu1864_ maximum reimbursement amount (Backpack/01 backpack), HDU1864 backpack
Solution report
Question Portal
#include
Maximum reimbursement amount
Time Limit: 1000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)Total Submission (s): 16358 Accepted Submission (s): 4775
Problem Description an existing fund can be reimbursed for a certain amoun

Sumsets
Time Limit: 2000MS
Memory Limit: 200000K
Total submissions: 14968
accepted: 5978
Description farmer John commanded he cows to search for different sets of the numbers of that sum to a given number. The cows use is numbers that are, the integer power of 2. Here are the possible sets of numbers this sum to 7:1) 1+1+1+1+1+1+12) 1+1+1+1+1+23) 1+1+1+2+24) 1+1+1+45) 1+2+2+26) 1+2+4Help FJ count all possible representations for a given intege

1. 01 backpack:
# Define N .. /// N this value is determined based on the specific question int v; // v is the total capacity int dp [N]; void ZeroOnePack (int cost, int weight) {for (int j = v; j> = cost; j --) // note the reverse dp [j] = max (dp [j], dp [j-cost] + weight );}
Ii. Complete backpack:
# Define N .. /// N this value is determined based on the specific question int v; // v is the tota

Backpack Nine Talk Board
Examples refer to "Information Science Orsay a pass"
Initialization is divided into two cases1, if the backpack requirements just fill the initialization f[0] = 0, f[1~v] =-inf;2, if do not need just fill f[0~v] = 0;
01 BackpackThere are n items and a backpack with a capacity of V. The cost of item I (i.e. volume, here

----- Edit by zhusenlin HDU
01 A backpack is a backpack with several items taken out of M and placed in W space. The size of each item is C1, C2 ,..., Cn, corresponding value: W1, W2 ,..., Wn. Solving these items into a backpack can maximize the total value.
Dynamic Planning (DP ):
1) subproblem definition: F [I] [j] indicates the maximum value that can be obtain

----- Edit by ZhuSenlin HDU
I have discussed in detail the full backpack problem in my blog "backpack problem-" full backpack "details and implementation (including how to solve the specific backpack items, at the same time, in the blog "backpack problem-" 01

10. Dynamic Planning (3) -- 0-1 backpack problem, 0-1 backpack
In the previous article "9. Dynamic Planning (2) -- Subsets and problems", we talked about Subsets and problems and their implementations. Backpack problems are actually a subset and a type of problem, but the problem is not "determining the problem" but "optimal problem ". The problem with a

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