Competitions

# Graphs Representation

# Sources and sinks

The vertex of directed graph is called *source* if no edge comes into it, and *sink* if no edge comes out of it.

The directed graph is given with adjacent matrix. Find all its sources and sinks.

#### Input

The first line contains the number of vertices in a graph **n** (**1** ≤ **n** ≤ **100**), then the adjacent matrix is given - **n** lines with **n** numbers, each of them equals to **0** or **1**.

#### Output

Print in the first line the number of sources in a graph, and then sources in increasing order. Print in the second line the information about sinks in the same format.

Input example #1

5 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0

Output example #1

2 3 4 3 1 4 5