A projectile is launched at time t=0 from point A which is at a height of x m above the floor with speed v m/s and at an angle 45° with the floor. It passes through a hoop at B which is 1m above A and B is the highest point of the trajectory. The horizontal distance between A and B is d meters. The projectile then falls into a basket hitting the floor at C (a horizontal distance of 3d from A). Find x (in m).
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