Polyhedron

A mathematician carved a sphere into a convex polyhedron. Writing $V$ for the number of vertices, $E$ for the number of edges and $F$ for the number of faces, he knows that every convex polyhedron satisfies $V - E + F = 2$. Carving spheres is his hobby, so when he writes down a record he counts only the vertices and the edges and never the faces.

Given the recorded $V$ and $E$, find the number of faces of the convex polyhedron.

The first line contains a natural number $T$. ($1 \le T \le 100$)

Each of the next $T$ lines contains two natural numbers $V$ and $E$ separated by a space. ($4 \le V \le 100$, $4 \le E \le 100$) $V$ is the number of vertices and $E$ is the number of edges.

For each $V$ and $E$, print the number of faces of the convex polyhedron on its own line.