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1 vote
2 answers
195 views

Finding the maximum value of elements to be selected in a grid - ZIO $2009$, P$1$

Hello Community! The above problem you see is a problem I got wrong. :( This is ZIO $2009$, P$1$. I tried the problem and miserably found the wrong answer as $20$. Here is how my approach goes - part ...
Vasu090's user avatar
  • 779
1 vote
1 answer
87 views

An optimization problem to find the consecutive day subset with maximum value - ZIO $2006$, P$1$

Hello everybody! The above problem is a combinatorics problem I got wrong. :( This is ZIO $2006$, P$1$. For the first part, I got as answer: $3$ which is wrong. What I did to try my value which I ...
Vasu090's user avatar
  • 779
1 vote
3 answers
70 views

Minimizing the operations to be done on letters - ZIO $2014$, P$1$

Hello everybody! The above problem is a combinatorics problem I could not solve. :( This is ZIO $2014$, P$1$. Here is my approach (feel free to point out any mistakes in it, that's why I am asking ...
Vasu090's user avatar
  • 779
2 votes
1 answer
135 views

Enumerate all unique simple arithmetic equations for a set of whole numbers

When I was younger I used to play a game in my math class: The teacher had a deck of 3x5 cards with a digit written on each one. She would deal out several cards and state a target number, and our ...
bantic's user avatar
  • 123
8 votes
2 answers
1k views

Algorithm for least required matches to rank players in tournament

Assuming the following conditions: A higher skill level always beats a lower skill level. Given n players, each have a distinct skill level compared to the other (n-1). If player A has beat player B, ...
CuriousDeveloper's user avatar
0 votes
1 answer
107 views

Is the generalized assignment problem with un-capacitated agents NP-hard?

I am working on a generalized assignment problem which I typed below. I know it is shown to be NP-hard. I am wondering whether the problem is still NP-hard when the capacity of the agents are assumed ...
user2707440's user avatar
0 votes
1 answer
191 views

Algorithm to find integer combinations satisfying a set of inequalities

I have an engineering problem that is reduced to finding a set of positive integer combinations satisfying several inequalities and some other properties. Specially, let $\mathcal{S}$ be the set of ...
leeyee's user avatar
  • 317
1 vote
1 answer
102 views

How to maximize the total auction price for a set of bids subject to bidder constraints

I want to auction a set of ASSETS (A) and fetch the maximum total price. The bidding is simultaneous and works as follows. Say I have a collection of BIDDERS (B) who, individually, bid to purchase a ...
Mowzer's user avatar
  • 141
1 vote
0 answers
24 views

Assignment problem based on agent similarities/sympathy

I am trying to solve an assignment problem with $N$ agents and $M$ tasks. There are more agents than tasks and in each situation, $N/M$ agents must be assigned to a one task. In other words, each task ...
alias5000's user avatar
2 votes
0 answers
192 views

Proof that my greedy algorithm for assigning candidates to jobs works

I was using the answers on this question as a guide for proving that my greedy algorithm is correct. (Unfortunately, CS Stack Exchange does not accept proof verification questions, which is why I ...
EJoshuaS - Stand with Ukraine's user avatar
1 vote
1 answer
109 views

Finding nth term in a series

You are given a list of sets of numbers (nested) to derive a sequence such that : Exactly 1 number must be selected from each of the sets The sequence is arranged in the ascending order of the sum of ...
coolsidd's user avatar
0 votes
0 answers
445 views

Find the upper and lower bounds of a coin weighing problem so that they coincide

We are given $N$ coins which are identical to each other with the exception of only 1 fake coin which is slightly heavier. The problem is to find the heaviest coin. We also have a Balance Scale. One ...
thelaw's user avatar
  • 113
1 vote
1 answer
545 views

Generalization of assignment problem - multiple agents required to complete tasks

I have an assignment problem where each task $t_i$ requires $n_i$ agents to complete it (there are many more agents available then there are tasks for them to complete, even with multiple agents ...
Andrew's user avatar
  • 329
1 vote
1 answer
485 views

Please explain how in the TSP, "every subpath of a path of minimum distance is itself a minimum distance"?

According to wikipedia, and many other sources I have read through, the Held-Karp algorithm is based on the idea that "every subpath of a path of minimum distance is itself a minimum distance." I was ...
Travis Black's user avatar
0 votes
0 answers
31 views

What is the name of following optimization problem and algorithms to solve them

Let $S=\{1,\ldots,n\}$ be a set and $w_i (\geq 0)$ be the weight of element $i$. Let $R_j, j = 1,\ldots,m$ be subsets of $S$, called the restriction sets. Choose elements from set $S$ to maximize ...
Moshe's user avatar
  • 101

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