Posted by **Steven** on Wednesday, July 24, 2013 at 5:46am.

Given integers R,M with M≠0, let S(R,M) denote the smallest positive integer x satisfying the congruence

Rx≡1(mod M)

if such an x exists. If such an x does not exist, put S(R,M)=0.

Each line of this text file contains a pair of space separated integers representing R and M, respectively.

Let L be the list of integers whose k-th element is the value of S(R,M), where R and M are taken from the k-th line of the text file.

Let T be the sum of all elements of L. What are the last three digits of T?

## Answer This Question

## Related Questions

- maths - Find the smallest n such that for any prime p, at least 20 numbers 1,2...
- Math (algebra) - Suppose a and b are positive integers satisfying 1≤a&#...
- Maths - Suppose a and b are positive integers satisfying 1≤a≤31, 1&#...
- Math - N is an integer such that N≡179(mod233) and N≡233(mod179). ...
- MATHS - Find the largest possible integer n such that there exists a non-...
- algebra - Find the largest possible integer n such that there exists a non-...
- math - there are three consecutive positive integers such that the sum of the ...
- Math algebra - Let N be the sum of all positive integers q of the form q=p^k ...
- Math - Let a be an integer, then there are integers X, Y such that aX+(a+1)Y=1. ...
- Math - Find the smallest positive integer d such that d=105m+216n, where m & n ...

More Related Questions