Is it a spruce

Consider a rooted tree. A rooted tree has one special vertex called the root. All edges are directed from the root. Vertex $u$ is called a child of vertex $v$ and vertex $v$ is called a parent of vertex _u_ if there exists a directed edge from $v$ to $u$. A vertex is called a leaf if it doesn't have children and has a parent. Let's call rooted tree spruce if it's every non-leaf vertex has at