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Max area of island
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/* | ||
Max Area of Island | ||
Given a non-empty 2D array grid of 0's and 1's, an island is a group of 1's (representing land) connected 4-directionally (horizontal or vertical.) You may assume all four edges of the grid are surrounded by water. | ||
Find the maximum area of an island in the given 2D array. (If there is no island, the maximum area is 0.) | ||
Example 1: | ||
[[0,0,1,0,0,0,0,1,0,0,0,0,0], | ||
[0,0,0,0,0,0,0,1,1,1,0,0,0], | ||
[0,1,1,0,1,0,0,0,0,0,0,0,0], | ||
[0,1,0,0,1,1,0,0,1,0,1,0,0], | ||
[0,1,0,0,1,1,0,0,1,1,1,0,0], | ||
[0,0,0,0,0,0,0,0,0,0,1,0,0], | ||
[0,0,0,0,0,0,0,1,1,1,0,0,0], | ||
[0,0,0,0,0,0,0,1,1,0,0,0,0]] | ||
Given the above grid, return 6. Note the answer is not 11, because the island must be connected 4-directionally. | ||
Example 2: | ||
[[0,0,0,0,0,0,0,0]] | ||
Given the above grid, return 0. | ||
Note: The length of each dimension in the given grid does not exceed 50. | ||
*/ | ||
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/** | ||
* @param {number[][]} grid | ||
* @return {number} | ||
*/ | ||
var maxAreaOfIsland = function(grid) { | ||
var maxArea = 0; | ||
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for(var i = 0; i < grid.length; i++) { | ||
for(var j = 0; j < grid[0].length; j++) { | ||
maxArea = Math.max(markIsland(i, j, grid), maxArea); | ||
} | ||
} | ||
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return maxArea; | ||
}; | ||
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var markIsland = function(row, col, grid) { | ||
if(row < 0 || row >= grid.length || col < 0 || col >= grid[0].length || grid[row][col] == 0) { | ||
return 0; | ||
} | ||
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grid[row][col] = 0; | ||
return 1 + markIsland(row + 1, col, grid) + markIsland(row - 1, col, grid) | ||
+ markIsland(row, col +1, grid) + markIsland(row, col - 1, grid); | ||
} | ||
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module.exports.maxAreaOfIsland = maxAreaOfIsland; |
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const assert = require('assert'); | ||
const { maxAreaOfIsland } = require('../LeetcodeProblems/Max_Area_Of_Island'); | ||
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function test1() { | ||
var matrix = [ | ||
[0,0,1,0,0,0,0,1,0,0,0,0,0], | ||
[0,0,0,0,0,0,0,1,1,1,0,0,0], | ||
[0,1,1,0,1,0,0,0,0,0,0,0,0], | ||
[0,1,0,0,1,1,0,0,1,0,1,0,0], | ||
[0,1,0,0,1,1,0,0,1,1,1,0,0], | ||
[0,0,0,0,0,0,0,0,0,0,1,0,0], | ||
[0,0,0,0,0,0,0,1,1,1,0,0,0], | ||
[0,0,0,0,0,0,0,1,1,0,0,0,0] | ||
] | ||
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assert.strictEqual(maxAreaOfIsland(matrix), 6); | ||
} | ||
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function test2() { | ||
var matrix = [ | ||
[0, 1, 1, 0, 0], | ||
[0, 1, 1, 0, 0], | ||
[0, 0, 1, 0, 1], | ||
[0, 1, 0, 0, 1], | ||
[0, 1, 1, 0, 1], | ||
[0, 0, 0, 0, 0], | ||
] | ||
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assert.strictEqual(maxAreaOfIsland(matrix), 5); | ||
} | ||
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function test3() { | ||
var matrix = [ | ||
[0, 1, 0, 0, 0], | ||
[0, 1, 1, 1, 1], | ||
[0, 0, 0, 0, 1], | ||
[0, 1, 1, 1, 1], | ||
[0, 0, 1, 0, 0], | ||
[0, 0, 0, 0, 0], | ||
] | ||
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assert.strictEqual(maxAreaOfIsland(matrix), 11); | ||
} | ||
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function test() { | ||
test1(); | ||
test2(); | ||
test3(); | ||
} | ||
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module.exports.test = test |
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