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Copy path240. Search a 2D Matrix II .js
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240. Search a 2D Matrix II .js
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/**
Write an efficient algorithm that searches for a value in an m x n matrix. This matrix has the following properties:
Integers in each row are sorted in ascending from left to right.
Integers in each column are sorted in ascending from top to bottom.
Example:
Consider the following matrix:
[
[1, 4, 7, 11, 15],
[2, 5, 8, 12, 19],
[3, 6, 9, 16, 22],
[10, 13, 14, 17, 24],
[18, 21, 23, 26, 30]
]
Given target = 5, return true.
Given target = 20, return false.
*/
/**
* There is no O(logm) + O(logn) solution for this question, but there is O(m + n) solution (Two Pointers)
* Search from top right element in the matrix:
* if (matrix[row][col] === target) return true
* if (matrix[row][col] < target) row += 1
* if (matrix[row][col] > target) col -= 1
*/
/**
* @param {number[][]} matrix
* @param {number} target
* @return {boolean}
*/
var searchMatrix = function(matrix, target) {
if (matrix === undefined || target === undefined) return false;
if (matrix.length === 0 || matrix[0].length === 0) return false;
let row = 0;
let col = matrix[0].length - 1;
while (row < matrix.length && col >= 0) {
let mid_value = matrix[row][col];
if (mid_value === target) return true;
if (mid_value < target) row += 1;
else col -= 1;
}
return false;
};