The complexity class PPAD is usually defined in terms of the END-OF-LINE problem, in which we are given a concise representation of a large directed graph having indegree and outdegree at most 1, and a known source, and we seek some other degree-1 vertex. We show that variants where we are given multiple sources and seek one solution or multiple solutions are PPAD-complete. Our proof also shows that a multiple source SINK problem where we look for multiple sinks instead of one is equivalent to SINK (i.e. PPADS-complete). Using our result, we provide a full proof of PPAD-completeness of IMBALANCE. Finally, we use these results together with earlier work on the 2D-Brouwer problem to investigate the complexity of a new total search problem inspired by the mutilated chessboard tiling puzzle.