## DWITE '10 R3 #1 - Integers along a line

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Points: 5
Time limit: 2.0s
Memory limit: 64M

Problem type
Allowed languages
Ada, Assembly, Awk, Brain****, C, C#, C++, COBOL, CommonLisp, D, Dart, F#, Forth, Fortran, Go, Groovy, Haskell, Intercal, Java, JS, Kotlin, Lisp, Lua, Nim, ObjC, OCaml, Octave, Pascal, Perl, PHP, Pike, Prolog, Python, Racket, Ruby, Rust, Scala, Scheme, Sed, Swift, TCL, Text, Turing, VB, Zig
##### DWITE Online Computer Programming Contest, December 2010, Problem 1

When talking about points on the Cartesian plane, most people tend to deal only with points with integer coordinates (i.e. points whose and coordinates are integers). Given a line segment with integer coordinates, you are curious about how many points on the line segment (other than the endpoints) have integer coordinates.

The input will contain 5 lines, each line having 4 integers , where describes one endpoint of a line, and describes another.

The output will contain 5 lines, each line containing the number of points along the line (not including the endpoints) that fall on the integer co-ordinates.

#### Sample Input

0 0 2 2
-1 -2 1 1

#### Sample Output

1
0