Product Triplet

You are given six integers: minx, maxx, miny, maxy, minz and maxz. Find the number of triplets of integers (x,y,z) that satisfy the following three conditions:

• x is between minx and maxx, inclusive;

• y is between miny and maxy, inclusive;

• z is between minz and maxz, inclusive;

• x * y = z;

Input

Each line contains six integers minx, maxx, miny, maxy, minz and maxz. It is known that 1 ≤ maxx, maxy, maxz ≤ 10^9, 1 ≤ minx ≤ maxx, 1 ≤ miny ≤ maxy, 1 ≤ minz ≤ maxz.

Output

For each line of input print in a separate line the number of triplets of integers (x,y,z) that satisfy the given above conditions.

Examples