Tarun

I have array of characters. I want to balance them in a manner that ever character appears equal number of times. I am allowed to replace any character in the array by any other character. I need to find out minimum number of such replacements required to create such an array.

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@Astyx ocw.mit.edu/courses/electrical-engineering-and-computer-science/…

@Astyx I can share the link of reading material

I think all they mean to say, If a graph has degree constrained condition - matching exist to cover L. But If a graph is not degree constrained, There may or not may not exist matching that cover L.

But it means, Degree constrained condition could not be used to check if a graph has matching or not. It means I will have to use Hall's theorem ( that eventually checks every subset of graph and thus time consuming ).

@Astyx Right and there exist a matching.

@Astyx Okay so. I was considering it to be an equivalence and I had few examples in my mind to contradict it. Yeah, I did not read it well and mistakenly considered a implication to be an equivalence.

Before they are using the terminology " if ..., then.." instead of " if and only if"

@Astyx I think as per definiiton, There could be a case where matching covers a set L even if the graph is not degree constrained.

@Astyx I found this definition while going through MIT reading material of graph theory. According to the reading material, If the graph is a bipartite degree constrained, there must exist a matching that covers L.

@Astyx Thanks

@Astyx I think it should be >= 3 as the remainder is 2.

@Astyx I have following in mind. Please correct me If I am wrong. To get max_remainder (less than the number itself) we should divide the number n by n/2+1. For .e.g for 50 we get max remainder when we divide it by 26. I think if we have a,b,c =n/2+1 (i.e 3 ) we can get max value.

Please correct me If I am wrong

@Astyx But we are also taking mod5 in the end. If we have a,b,c >5, I think answer would be zero. For a,b,c >5 , (((5 moda) modb) modc) will be 5 and ( (((5 moda) modb) modc) mod5) will be zero as 5 mod5 =0

Could anyone please look up in the asked question

is this sentence correct: Due to negligence he failed in examination.

Can we have passive voice for the following sentence "I have to stay here". I think we cant as "stay" is a intransitive verb. Could you please give your opinion on it.

"The ass continued braying. " << I am confused about this sentence. Why continued is transitive verb. Who is receiving action here.

"The child had fallen sick" << Again here i think "sick ( predicative adjective) describing the Subject.

Thank you so much @Helmar I understand your point about predicative nominal. Predicative nominal describing an Subject.

@Helmar Could you please brief why cant we classify predicative nominal as object.

@Helmar I think i need to read about predicative nominal but yes it looks like an object as it answers the question of "become what"

@Helmar "John become a soldier"

yes

@Helmar But "She seems happy" is intransitive.

@Helmar How should one differentiate a mono tranistive verb with non transitive verb as in both case we dont have an object receiving an action.

@M-J Hi. I hope you are doing good.

Apparently yes it is but i am not sure or not able to imagine who is receiving action in this sentence

Is "Tell" a transitive verb in this sentence

Tell the truth

I am not sure if its correct or not. I am also not aware of any rule that first statement is voilition

I tried to correct it by phrasing it as "He does not drink, nor does he smile".

"He does not drink, nor he smiles." Could someone explain me why is this sentence wrong ?

may be then the rule given in the book is incorrect. "That is used for persons and things. It may refer to a Singular or a Plural Noun"

"He that is not with me is against me"

As per Wren and Martin, We can use "that" to refer to person as well. For .e.g "This is the boy that I told you of"

is this sentence correct "It was I that gave away the prizes".

@MattE.Эллен Thanks. I understand your explanation for Objects standing for answer to "Who".

@MattE.Эллен "if not him" does not sound like answer to "Who will help me". Sorry i have hard time to understand that.

Do you mean here "him" is object of "help" ?

@MattE.Эллен Could you please explain why?

Who will help me? if not __ (he or him )

Once again i land in problems with usage of proper pronoun.

"Have you ever met rekha, this is she or her"

Could you please tell if these sentences are different in meaning also "I love you more than him" and "I love you more than he does"