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98 lines
2.7 KiB
Markdown
98 lines
2.7 KiB
Markdown
---
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id: 6a22d77ddf034bc4e35b1d56
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title: "Challenge 349: Cell Signal"
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challengeType: 29
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dashedName: challenge-349
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---
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# --description--
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Given a grid containing three cell tower readings, determine the location of the phone.
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- Each cell in the grid is either `0` (no tower) or a positive integer representing the number of cells to the phone, measured in a straight line: horizontal, vertical, or diagonal.
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- Return the `[row, col]` of the cell that is the correct number of cells from all three towers.
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- There is always exactly one solution.
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# --hints--
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`find_signal([[0, 0, 1], [0, 1, 0], [0, 0, 1]])` should return `[1, 2]`.
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```js
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({test: () => { runPython(`
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from unittest import TestCase
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TestCase().assertEqual(find_signal([[0, 0, 1], [0, 1, 0], [0, 0, 1]]), [1, 2])`)
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}})
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```
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`find_signal([[0, 2, 0], [1, 0, 0], [0, 0, 1]])` should return `[2, 1]`.
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```js
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({test: () => { runPython(`
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from unittest import TestCase
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TestCase().assertEqual(find_signal([[0, 2, 0], [1, 0, 0], [0, 0, 1]]), [2, 1])`)
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}})
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```
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`find_signal([[0, 0, 2, 0], [0, 0, 0, 0], [2, 0, 0, 0], [0, 0, 0, 1]])` should return `[2, 2]`.
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```js
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({test: () => { runPython(`
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from unittest import TestCase
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TestCase().assertEqual(find_signal([[0, 0, 2, 0], [0, 0, 0, 0], [2, 0, 0, 0], [0, 0, 0, 1]]), [2, 2])`)
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}})
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```
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`find_signal([[0, 3, 0, 0, 0], [0, 0, 0, 0, 2], [0, 0, 0, 0, 0], [4, 0, 0, 0, 0], [0, 0, 0, 0, 0]])` should return `[3, 4]`.
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```js
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({test: () => { runPython(`
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from unittest import TestCase
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TestCase().assertEqual(find_signal([[0, 3, 0, 0, 0], [0, 0, 0, 0, 2], [0, 0, 0, 0, 0], [4, 0, 0, 0, 0], [0, 0, 0, 0, 0]]), [3, 4])`)
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}})
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```
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`find_signal([[3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 2]])` should return `[3, 3]`.
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```js
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({test: () => { runPython(`
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from unittest import TestCase
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TestCase().assertEqual(find_signal([[3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 2]]), [3, 3])`)
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}})
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```
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# --seed--
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## --seed-contents--
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```py
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def find_signal(grid):
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return grid
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```
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# --solutions--
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```py
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def find_signal(grid):
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rows = len(grid)
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cols = len(grid[0])
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towers = []
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for r in range(rows):
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for c in range(cols):
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if grid[r][c] != 0:
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towers.append((r, c, grid[r][c]))
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def is_valid(r, c, tr, tc, dist):
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dr = abs(r - tr)
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dc = abs(c - tc)
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return (dr == dist or dc == dist) and (dr == 0 or dc == 0 or dr == dc)
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for r in range(rows):
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for c in range(cols):
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if grid[r][c] != 0:
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continue
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if all(is_valid(r, c, tr, tc, dist) for tr, tc, dist in towers):
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return [r, c]
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```
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