A Very Big Video Reasoning Suite

A ball is placed at the initial position with a direction arrow indicating its movement direction. Simulate the ball bouncing 2 times off the boundary walls following elastic collision physics (angle of incidence equals angle of reflection). The ball stops after the 2th bounce, with its final position at the wall where the last collision occurs.

Complete this pattern by filling in the missing cells on the right side. The left half shows a pattern that should be mirrored to create a symmetric pattern. Mirror the left half across the vertical center line to complete the symmetric pattern. Keep the camera view fixed in the top-down perspective and maintain all existing cells unchanged. Stop the video when the pattern is complete.

The scene shows a 10x10 grid with a green start point, a red end point, and yellow cells marked with numbers 1, 2, and 3. An orange circular agent is positioned at the green start point. The agent can move to adjacent cells (up, down, left, right). Starting from the green start point, the agent must visit the numbered yellow cells in numerical order (1, then 2, then 3), taking the shortest path between each consecutive pair of numbered cells. The agent is allowed to pass through the red end point when visiting the numbered cells if needed. After visiting all numbered cells in sequence, the agent must reach the red end point, also following the shortest path.

Solve this rotation puzzle by rotating the four squares to connect the pipe paths. Each square can be rotated 90 degrees clockwise or counterclockwise. Rotate the squares so that all pipe paths connect to form a continuous path. Keep the camera view fixed in the top-down perspective and maintain all square positions unchanged. Stop the video when all pipes are connected and the puzzle is solved.

The scene has two pigment colors positioned on the left and right sides, and a mixing zone marked by a black rectangular border in the center. In subtractive color mixing (pigment/paint mixing), when two pigments combine, convert RGB to CMY, add CMY components, then convert back: convert RGB to CMY (CMY = 255 - RGB), mix in CMY space (result_CMY = min(CMY1 + CMY2, 255)), convert back to RGB (RGB = 255 - CMY_result). First identify the RGB values of the left pigment (an RGB(69, 238, 140) colored pigment) and the right pigment (an RGB(47, 80, 187) colored pigment), then calculate the mixed color using the CMY conversion process. Fill the black-bordered mixing zone in the center with the resulting mixed color and show the full calculation process step by step.