path3 sql queries

sql/path3f.sql

+WITH
+path3(a,b) AS (
+  SELECT DISTINCT p1.a, p3.b from par p1 JOIN par p2 ON p1.b = p2.a JOIN par p2 ON p2.b = p3.a
+)	SELECT Count(*) FROM path3;

sql/path3l.sql

+WITH
+path2(a,b) AS (
+  SELECT DISTINCT p1.a, p2.b from par p1 JOIN par p2 ON p1.b = p2.a
+),
+path3(a,b) AS (
+  SELECT DISTINCT p1.a, p2.b from path2 p1 JOIN par p2 ON p1.b = p2.a
+)	SELECT Count(*) FROM path3;

sql/path3r.sql

+WITH
+path2(a,b) AS (
+  SELECT DISTINCT p1.a, p2.b from par p1 JOIN par p2 ON p1.b = p2.a
+),
+path3(a,b) AS (
+  SELECT DISTINCT p1.a, p2.b from par p1 JOIN path2 p2 ON p1.b = p2.a
+)	SELECT Count(*) FROM path3;