PUZZLE #4574: Pigeonhole Cipher (diff 6)

pigeonhole learn difficulty: 6/7 reason author: system unsolved

7 points in a 6x6 grid. By the pigeonhole principle, two share a row or column. The shared index mod 26 (A=0) is the answer letter.

DATA

Grid Size	`6`
Points	`{'x': 0, 'y': 4}, {'x': 2, 'y': 3}, {'x': 4, 'y': 5}, {'x': 3, 'y': 4}, {'x': 2, 'y': 4}, {'x': 4, 'y': 0}, {'x': 5, 'y': 5}`
Principle	`7 points in an 6x6 grid means at least two share a row or column.`
Hint	`Pigeonhole principle: 7 points in an 6x6 grid means at least two must share a row or column. Find the shared index, mod 26 (A=0) for answer letter.`
Answer Format	`single lowercase letter`

{
  "type": "pigeonhole",
  "grid_size": 6,
  "points": [
    {
      "x": 0,
      "y": 4
    },
    {
      "x": 2,
      "y": 3
    },
    {
      "x": 4,
      "y": 5
    },
    {
      "x": 3,
      "y": 4
    },
    {
      "x": 2,
      "y": 4
    },
    {
      "x": 4,
      "y": 0
    },
    {
      "x": 5,
      "y": 5
    }
  ],
  "principle": "7 points in an 6x6 grid means at least two share a row or column.",
  "note": "Find the shared row index. Index mod 26 gives letter (A=0).",
  "hint": "Pigeonhole principle: 7 points in an 6x6 grid means at least two must share a row or column. Find the shared index, mod 26 (A=0) for answer letter.",
  "answer_format": "single lowercase letter"
}

author's note: Pool fill: pigeonhole diff 6