Variable valve duration/variable valve lift system and engine provided with the same

A variable valve duration/variable valve lift system, comprising:

• a camshaft;
• a first cam portion including a first cam, into which the camshaft is inserted and of which a relative phase angle of the first cam with respect to the camshaft is variable;
• an inner bracket transmitting rotation of the camshaft to the first cam portion;
• a slider housing into which the inner bracket is rotatably inserted;
• a first rocker arm having a first end contacting the first cam;
• a rocker shaft to which the first rocker arm is rotatably connected;
• a solenoid valve configured to selectively supply hydraulic pressure;
• a position controller configured to selectively change a position of the slider housing according to the selective supplying of the hydraulic pressure supplied from the solenoid valve;
• a first bridge connected to a second end of the first rocker arm and to which a first valve is connected;
• and
• a valve lift disposed within the first bridge for changing valve lift of the first valve according to supplying of the hydraulic pressure supplied from the solenoid valve.