A soccer ball of mass \(m\) moving horizontally to the right with initial velocity \(\vec{v}_1\) collides with a smooth, stationary rigid wall. The wall surface is oriented at an angle of \(45^\circ\) relative to the ball's incoming trajectory, as shown in the top-down view. The collision is elastic, and the wall exerts negligible friction on the ball during the impact, causing it to rebound vertically upward with final velocity \(\vec{v}_2\), where \(|\vec{v}_2| = |\vec{v}_1|\). Which of the following vector diagrams correctly represents the relationship between the initial momentum \(\vec{p}_1\), the final momentum \(\vec{p}_2\), and the impulse \(\vec{J}\) delivered to the ball by the wall?