The problem is in the red part. Notice that $|d_1|x+|d_2|y=1$ is a linear Diophantine equation and thus has infinitely many solutions (You can see any number theory book, like Elementary Number Theory by Gareth and Mary Jones). So even if we have $i.j \geq 0$, we can always find $i',j'$ which is not necessarily greater than $0$ (for the proof of this, you can see my solution, where I explained how infinitely many solutions of $d_1x+d_2y=1$ can be derived.)Nadim Ul Abrar wrote:*Mahi* vai ...
Please check this and show me the right path ...
BOMC-2012 Test Day 2 Problem 1
Please read Forum Guide and Rules before you post.
Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi
Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi
- Nadim Ul Abrar
- Posts:244
- Joined:Sat May 07, 2011 12:36 pm
- Location:B.A.R.D , kotbari , Comilla
Re: BOMC-2012 Test Day 2 Problem 1
It is stated that given AP's are $a_0,a_1,...$ And $b_0,b_1,...$ .
Then how can we consider negative $i',j'$ negative ??
( I think I'm Asking Question's like a stupid , )
Then how can we consider negative $i',j'$ negative ??
( I think I'm Asking Question's like a stupid , )
$\frac{1}{0}$
Re: BOMC-2012 Test Day 2 Problem 1
One of $i',j'$ can be negative.
Please read Forum Guide and Rules before you post.
Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi
Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi
- Nadim Ul Abrar
- Posts:244
- Joined:Sat May 07, 2011 12:36 pm
- Location:B.A.R.D , kotbari , Comilla
Re: BOMC-2012 Test Day 2 Problem 1
Actually i wanted to say that what will $a_{-1}$ be ?
$\frac{1}{0}$
Re: BOMC-2012 Test Day 2 Problem 1
There will not be any $a_{-1}$ because $\gcd(2,3)=1$ and we can find infinitely many solutions of $2x+3y=1$, in many of those $i'$ or $j'$ is negative.
Please read Forum Guide and Rules before you post.
Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi
Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi