PUZZLE #4945: ScrollFall Cipher [drag: quadratic] (diff 5)
Ball drops through 6 scrolling columns. Physics + scroll timing = 6-char word.
DATA
| Difficulty |
5
|
| Columns |
6
|
| Rows |
120
|
| Capture Condition |
{
"type": "velocity_fraction",
"value": 0.8832050730323752
}
|
| Physics |
{
"gravity": 9.8,
"ball_mass": 1.0,
"drag_type": "quadratic",
"drag_coefficient": 0.07245631741848103,
"medium_density": 1.2
}
|
| Scroll |
{'speed': 1.63, 'direction': -1}, {'speed': 2.71, 'direction': 1}, {'speed': 2.89, 'direction': 1}, {'speed': 4.27, 'direction': -1}, {'speed': 4.29, 'direction': -1}, {'speed': 1.52, 'direction': -1}
|
| Grid |
['F', 'A', 'W', 'Z', 'M', 'J'], ['L', 'X', 'E', 'H', 'B', 'A'], ['G', 'L', '9', 'B', 'K', 'L'], ['N', 'U', 'G', 'Q', 'A', 'S'], ['4', 'R', '9', 'I', 'J', 'Z'], ['W', '7', 'r', 'N', 'O', 'E'], ['S', 'o', 'C', 'D', 'Y', 'R'], ['L', '9', 'H', '4', 'C', '6'], ['X', '5', 'A', 'O', 'X', 'X'], ['A', 'N', 'A', 'Q', 'C', 'C'], ['K', 'G', 'M', 'G', '1', 'N'], ['B', 'G', 'O', '2', 'T', 'H'], ['6', 'U', 'N', 'M', 'R', 'A'], ['n', 'B', 'G', '1', 'W', 'l'], ['C', '7', 'F', 'Q', '0', '9'], ['O', 'N', 'A', 'S', 'J', 'T'], ['H', 'W', '5', '2', 'P', 'W'], ['W', 'Z', '4', 'm', 'a', 'J'], ['P', 'E', 'K', 'U', 'Q', '9'], ['5', 'R', 'A', 'T', '9', '9'], ['W', '3', '5', 'M', 'R', 'R'], ['E', 'J', 'R', 'Z', 'P', 'K'], ['E', 'C', 'Q', 'J', 'I', 'I'], ['Q', 'R', '2', 'I', 'X', '4'], ['W', 'I', 'G', '6', 'S', 'F'], ['B', 'T', '5', 'A', 'X', 'E'], ['K', 'V', 'L', 'T', '5', 'T'], ['M', 'V', '6', 'F', 'H', 'L'], ['8', '3', '3', '0', '4', 'A'], ['8', 'D', '9', 'E', 'M', 'H'], ['S', 'T', '4', '3', 'T', '7'], ['P', 'E', 'Y', '3', 'U', 'E'], ['Z', '5', '5', '9', 'O', 'G'], ['Y', 'V', '3', 'H', '4', 'T'], ['U', 'Y', 'N', 'Z', 'L', '9'], ['U', 'V', '8', '3', '4', 'L'], ['Y', 'N', 'C', 'A', '2', '5'], ['Y', 'K', '4', 'M', 'S', 'Z'], ['Y', 'A', '8', 'M', 'C', 'O'], ['5', 'E', 'Y', 'E', 'N', '1'], ['O', 'H', 'O', '5', 'B', 'F'], ['4', 'V', 'I', 'S', 'U', 'V'], ['4', '0', 'U', 'R', '4', '5'], ['N', 'C', '6', 'W', '4', 'P'], ['L', 'L', 'Q', 'Y', 'B', 'H'], ['X', '0', 'H', 'D', '8', 'N'], ['N', 'L', 'Z', '7', 'M', 'L'], ['H', 'K', 'W', 'O', '5', 'D'], ['Q', 'Q', '5', 'G', 'P', '3'], ['3', 'L', 'H', 'D', 'K', 'E'], ['Z', 'O', 'B', 'C', 'Z', '2'], ['A', 'D', 'A', 'M', 'K', 'T'], ['Y', 'U', 'X', '6', '6', 'U'], ['W', 'L', '6', 'Y', '9', '8'], ['W', 'C', 'F', 'H', 'Y', '6'], ['V', 'L', 'P', 'T', 'E', 'J'], ['R', '7', 'G', 'K', 'B', 'S'], ['7', 'U', 'M', 'D', '2', 'R'], ['M', 'B', '9', 'D', 'V', 'W'], ['K', 'Y', 'V', 'F', 'G', 'D'], ['V', 'D', 'D', '6', 'K', 'D'], ['K', 'S', 'G', 'I', '4', 'M'], ['B', 'A', '5', 'L', 'M', 'D'], ['2', '6', 'V', '7', 'C', 'L'], ['Z', '1', 'U', 'L', 'J', '3'], ['1', 'F', 'A', '4', '2', '0'], ['G', 'Y', 'A', '1', 'G', '7'], ['1', 'H', 'I', 'P', 'B', '3'], ['0', 'O', 'P', 'L', 'J', 'H'], ['G', 'Z', 'M', 'M', 'C', 'B'], ['U', 'Y', 'P', '5', '4', 'P'], ['Q', '1', 'J', 'D', 'A', 'A'], ['6', 'Z', 'S', 'J', 'A', '6'], ['D', 'G', 'H', 'R', 'Z', 'N'], ['6', 'M', '2', 'V', 'J', 'U'], ['N', '8', 'H', 'D', 'L', '1'], ['N', 'H', 'H', 'U', 'N', 'L'], ['W', 'L', '1', '6', 'L', '9'], ['9', '3', 'T', 'V', 'K', 'P'], ['D', 'J', 'O', 'M', '9', 'B'], ['B', 'X', 'A', '3', '1', 'F'], ['J', '2', 'H', 'R', '2', 'E'], ['J', 'S', 'D', 'U', 'B', 'N'], ['9', 'E', 'A', 'A', 'T', '0'], ['N', 'X', 'Y', 'O', 'U', 'V'], ['M', 'X', '4', 'R', 'U', '8'], ['I', 'A', 'P', 'M', 'D', '6'], ['9', 'P', '4', 'B', 'V', 'A'], ['9', 'S', 'T', '8', 'B', 'S'], ['R', 'C', 'Q', 'U', 'X', 'G'], ['U', 'G', '1', '3', '5', '6'], ['S', '7', '8', 'T', 'N', 'Q'], ['0', 'D', 'G', 'W', '2', '7'], ['9', 'C', '1', 'U', '3', 'D'], ['5', 'Q', 'Q', '9', 'N', 'O'], ['7', 'S', 'L', 'W', 'W', '9'], ['J', 'Q', 'L', 'H', '3', 'W'], ['2', 'R', '9', 'H', 'X', 'W'], ['J', 'P', 'R', 'U', 'I', '4'], ['N', 'R', 'I', 'C', 'B', '6'], ['C', 'Z', '8', 'W', 'V', '4'], ['L', 'A', '3', 'V', 'K', 'H'], ['X', '3', 'L', 'M', 'H', 'I'], ['V', 'M', 'R', 'N', 'Q', '0'], ['E', 'A', 'G', 'F', '1', 'H'], ['2', 'S', 'G', 'A', 'B', '1'], ['P', '3', 'N', '8', 'V', 'L'], ['5', '0', '7', 'W', '9', 'E'], ['Z', 'L', '5', 'O', 'O', 'U'], ['P', '6', 'W', 'W', '4', 'Z'], ['3', 'L', '3', 'U', '9', 'Q'], ['4', 'G', 'Z', '0', 'I', 'A'], ['H', 'A', 'J', 'Q', 'E', 'C'], ['M', '2', '0', 'M', 'L', 'L'], ['Q', 'O', 'W', 'J', 'P', '2'], ['G', 'K', 'S', 'Z', 'L', 'L'], ['G', 'J', 'I', 'B', 'T', 'Y'], ['6', 'Q', '5', 'M', '4', 'U'], ['L', 'E', 'D', 'F', 'D', 'R'], ['S', '6', '8', 'V', 'K', 'M']
|
| Row Shift |
0
|
| Hints |
Capture when v(t) = 0.88 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=quadratic, Cd=0.072456. Each column scrolls independently. Compute capture_time, then scroll offset per column. Find the character at capture_y at capture_time in each column. The grid may not show all answer chars at same row. Submit the 6-character word.
|
| Hint |
Capture when v(t) = 0.88 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=quadratic, Cd=0.072456. Each column scrolls independently. Compute capture_time, then scroll offset per column. Find the character at capture_y at capture_time in each column. The grid may not show all answer chars at same row. Submit the 6-character word.
|
| Answer Format |
lowercase decoded message
|
author's note: Pool fill: scrollfall diff 5
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