119. Magic Pairs
time limit per test: 0.25
“Prove that for any integer X and Y if 5X+4Y is divided by 23 than 3X+7Y is divided by 23 too.” The task is from city Olympiad in mathematics in Saratov, Russia for schoolchildren of 8-th form. 2001-2002 year.
Each input consists of positive integer numbers N, A0 and B0 (N,A0,B0£ 10000) separated by whitespaces.
Write number of pairs (A, B) to the first line of output. Write each pair on a single line in order of non-descreasing A (and B in case of equal A). Separate numbers by single space.
3 1 2
3 0 0 1 2 2 1