There are three carts of the same mass M. They slide without friction on ice along the same line one after the other with the same velocity v to the right as observed by someone sitting on ice. At a certain moment, a mass m is thrown from the second cart to the cart in front and another mass m to the cart behind. The masses stick to the two other carts. The second cart's mass becomes M 2m. The two masses are thrown at a speed u relative to the second cart, but in different directions. Find the velocities V1, V2, and V3 of the carts, after the mass exchanges.