ID | Title | Difficulty | |
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240. Search a 2D Matrix II
Medium
LeetCode
Array, Binary Search, Divide and Conquer, Matrix
Problem
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.
Code
class Solution {
public boolean searchMatrix(int[][] matrix, int target) {
int row = 0;
int col = matrix[0].length - 1;
while(col >= 0 && row < matrix.length) {
int num = matrix[row][col];
if(num == target) return true;
if(num > target) {
col--;
} else {
row++;
}
}
return false;
}
}
class Solution:
def searchMatrix(self, matrix, target):
"""
:type matrix: List[List[int]]
:type target: int
:rtype: bool
"""
if not matrix or matrix and not matrix[0]:
return False
# 从右上角搜索
row = 0
col = len(matrix[0]) - 1
while col >= 0 and row <= len(matrix) - 1:
num = matrix[row][col]
if target == num:
return False
elif target < num:
col-= 1
else:
row += 1
return False
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