Three current-carrying wires

As shown above, three infinitely long current-carrying wires L, M and N are fixed on the \(xy\)-plane, all parallel to the \(y\)-axis. The distances from the \(y\)-axis are \(2r\), \(r\) and \(r\), respectively. The intensities of the currents flowing in \(+y\) direction through the wires M and N are \(2I\) and \(I\), respectively. The magnetic field strength at all points of the \(y\)-axis induced by these three currents is zero. Then what are the direction and intensity of the current flowing through the wire L?

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