PUZZLE #5171: ScrollFall Cipher [drag: linear] (diff 3)
Ball drops through 5 scrolling columns. Physics + scroll timing = 5-char word.
DATA
| Difficulty |
3
|
| Columns |
5
|
| Rows |
120
|
| Capture Condition |
{
"type": "velocity_fraction",
"value": 0.7473240828669465
}
|
| Physics |
{
"gravity": 9.8,
"ball_mass": 1.0,
"drag_type": "linear",
"drag_coefficient": 0.6864363783244579,
"medium_density": 1.2
}
|
| Scroll |
{'speed': 2.75, 'direction': 1}, {'speed': 1.61, 'direction': 1}, {'speed': 1.24, 'direction': 1}, {'speed': 2.32, 'direction': 1}, {'speed': 3.13, 'direction': 1}
|
| Grid |
['B', '0', 'F', 'K', 'K'], ['7', 'U', 'P', 'J', 'T'], ['W', 'J', 'G', '5', 'E'], ['V', 'I', 'D', 'W', '8'], ['5', '9', 'G', '7', 'P'], ['6', 'Q', 'P', 'U', '0'], ['6', 'K', '4', '2', '6'], ['w', 'K', 'S', 'A', 'l'], ['U', 'I', 'W', 'e', 'Z'], ['C', 'J', 'J', 'X', 'Q'], ['Y', 'h', '9', '4', '2'], ['R', 'T', 'e', '0', '1'], ['X', 'U', 'H', 'H', 'D'], ['X', 'F', 'E', '2', '5'], ['G', 'F', '0', '3', 'Y'], ['Q', '4', '6', 'X', 'V'], ['F', 'S', 'Z', '0', 'F'], ['0', 'Y', 'F', 'D', 'Q'], ['Q', 'O', '9', '8', 'Y'], ['G', 'U', 'L', 'G', 'M'], ['M', '1', '7', 'B', '7'], ['6', 'K', 'G', 'X', 'D'], ['A', 'L', '7', 'Z', '5'], ['2', 'Y', 'C', '2', 'U'], ['4', 'N', 'E', 'A', '9'], ['4', 'D', 'E', 'Z', 'N'], ['K', 'R', 'L', 'U', 'Z'], ['2', '0', 'U', '3', 'H'], ['9', 'S', '5', 'L', '9'], ['4', 'C', '5', 'J', 'Y'], ['4', '1', 'J', 'S', 'Z'], ['3', '4', 'F', 'X', 'Z'], ['W', 'E', '7', '1', 'N'], ['V', 'D', '5', 'I', 'O'], ['D', 'M', 'W', 'W', 'O'], ['Q', 'J', 'K', 'J', 'T'], ['S', 'Y', 'D', 'W', '8'], ['2', 'U', 'Q', '6', '6'], ['G', 'M', 'Y', 'H', 'J'], ['6', 'K', 'B', 'O', 'R'], ['P', 'G', '3', 'S', 'P'], ['T', 'V', '7', '1', '9'], ['P', 'T', 'B', '4', 'C'], ['X', '6', 'T', '3', 'G'], ['P', 'R', 'A', '1', '8'], ['V', 'D', 'J', 'N', 'R'], ['C', 'D', 'H', 'X', 'W'], ['S', 'S', 'K', '2', 'C'], ['H', '5', 'T', 'Y', '3'], ['V', 'C', 'F', 'L', 'H'], ['H', 'N', 'Z', 'A', 'C'], ['K', 'I', '9', 'T', '1'], ['N', 'S', '2', 'D', '1'], ['3', '4', 'H', 'X', '0'], ['1', 'K', 'W', 'R', 'E'], ['1', 'A', '0', 'D', '8'], ['F', 'E', 'C', '5', '0'], ['6', '8', 'U', 'E', 'Z'], ['U', 'V', 'Z', 'S', 'A'], ['9', 'D', 'H', '7', 'E'], ['L', 'C', 'D', 'X', 'O'], ['S', 'J', 'B', '4', 'M'], ['R', 'S', 'P', 'A', 'X'], ['0', '3', 'C', 'N', '0'], ['M', 'T', 'I', 'T', 'Y'], ['7', 'A', 'P', '9', 'V'], ['V', 'B', 'N', 'R', 'O'], ['Y', '8', 'A', '7', '4'], ['1', 'G', 'V', 'I', 'Q'], ['9', 'T', 'V', 'Q', 'N'], ['3', 'U', '9', 'A', 'W'], ['T', 'K', 'Z', '3', 'P'], ['V', 'U', '6', 'W', 'F'], ['9', 'J', 'L', '8', 'T'], ['F', 'D', 'H', 'R', 'M'], ['Q', '9', '6', '7', 'L'], ['1', '8', 'B', 'R', 'U'], ['E', 'K', 'B', '7', 'F'], ['S', '4', '2', 'S', 'M'], ['6', 'Z', 'O', 'P', 'K'], ['S', 'D', '5', '2', 'P'], ['S', 'R', '7', '5', 'A'], ['G', 'O', 'T', 'M', '1'], ['7', 'O', 'D', '2', 'O'], ['H', 'U', 'A', 'Z', 'P'], ['7', '4', 'M', '9', '5'], ['9', '7', 'O', 'I', '9'], ['O', 'E', 'R', 'U', 'W'], ['2', 'Z', '1', 'Q', 'N'], ['4', 'A', 'R', 'B', '9'], ['1', 'L', '3', 'A', 'Q'], ['7', 'F', '9', '8', 'L'], ['N', 'I', 'L', 'N', 'C'], ['Q', 'P', 'R', 'Y', '5'], ['4', 'N', 'H', 'O', '5'], ['P', 'G', 'A', '7', '6'], ['5', 'W', 'Q', 'V', 'W'], ['L', 'U', '3', 'Q', 'N'], ['4', 'D', '3', 'O', 'Q'], ['G', 'Z', 'B', '1', '3'], ['Q', 'V', '4', '4', 'Z'], ['Z', 'J', 'C', 'Q', 'R'], ['0', 'H', 'E', 'M', 'H'], ['T', '4', 'V', '6', 'J'], ['U', '8', 'W', 'J', 'W'], ['V', 'E', '0', 'K', 'K'], ['D', '0', 'G', 'B', 'A'], ['9', 'K', 'G', 'A', 'P'], ['O', '3', 'Q', '8', 'K'], ['S', 'I', 'I', 'W', 'H'], ['P', 'X', 'E', '0', '8'], ['4', 'Q', 'J', 'I', 'V'], ['P', 'R', '1', 'D', 'U'], ['1', 'V', 'Q', 'M', 'B'], ['4', 'D', 'G', 'W', 'U'], ['0', 'E', '4', 'O', '7'], ['W', '1', '9', 'C', '0'], ['H', 'V', 'W', 'Y', 'I'], ['1', 'T', 'F', '4', 'U'], ['D', 'A', 'W', 'I', 'C']
|
| Row Shift |
0
|
| Hints |
Capture when v(t) = 0.75 x v_term. Compute v_term from physics, find t where v(t)=f*v_term, then y(t)=capture_row. capture_row is NOT given. Derive it from the velocity condition. Physics: g=9.80, m=1.00, drag=linear, Cd=0.686436. Each column scrolls independently. Compute capture_time, then scroll offset per column. Find the character at capture_y at capture_time in each column. Submit the 5-character word.
|
| Hint |
Capture when v(t) = 0.75 x v_term. Compute v_term from physics, find t where v(t)=f*v_term, then y(t)=capture_row. capture_row is NOT given. Derive it from the velocity condition. Physics: g=9.80, m=1.00, drag=linear, Cd=0.686436. Each column scrolls independently. Compute capture_time, then scroll offset per column. Find the character at capture_y at capture_time in each column. Submit the 5-character word.
|
| Answer Format |
lowercase decoded message
|
author's note: Pool fill: scrollfall diff 3
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