Solution: Search a 2D Matrix II

Leetcode Solutions (161 Part Series)

1 Solution: Next Permutation
2 Solution: Trim a Binary Search Tree
… 157 more parts…
3 Leetcode Solutions Index
4 Solution: Minimize Deviation in Array
5 Solution: Vertical Order Traversal of a Binary Tree
6 Solution: Count Ways to Make Array With Product
7 Solution: Smallest String With A Given Numeric Value
8 Solution: Linked List Cycle
9 Solution: Path With Minimum Effort
10 Solution: Concatenation of Consecutive Binary Numbers
11 Solution: Minimum Operations to Make a Subsequence
12 Solution: Longest Harmonious Subsequence
13 Solution: Simplify Path
14 Solution: Building Boxes
15 Solution: Decode XORed Permutation
16 Solution: Binary Tree Right Side View
17 Solution: Find Kth Largest XOR Coordinate Value
18 Solution: Change Minimum Characters to Satisfy One of Three Conditions
19 Solution: Shortest Distance to a Character
20 Solution: Peeking Iterator
21 Solution: Convert BST to Greater Tree
22 Solution: Copy List with Random Pointer
23 Solution: Valid Anagram
24 Solution: Number of Steps to Reduce a Number to Zero
25 Solution: Shortest Path in Binary Matrix
26 Solution: Is Graph Bipartite?
27 Solution: Maximum Score From Removing Substrings (ver. 1)
28 Solution: Maximum Score From Removing Substrings (ver. 2)
29 Solution: Sort the Matrix Diagonally
30 Solution: The K Weakest Rows in a Matrix (ver. 1)
31 Solution: The K Weakest Rows in a Matrix (ver. 2)
32 Solution: Letter Case Permutation
33 Solution: Container With Most Water
34 Solution: Arithmetic Slices
35 Solution: Minimum Remove to Make Valid Parentheses
36 Solution: Roman to Integer
37 Solution: Broken Calculator
38 Solution: Find the Most Competitive Subsequence
39 Solution: Longest Word in Dictionary through Deleting
40 Solution: Search a 2D Matrix II
41 Solution: Score of Parentheses
42 Solution: Shortest Unsorted Continuous Subarray
43 Solution: Validate Stack Sequences
44 Solution: Divide Two Integers (ver. 1)
45 Solution: Divide Two Integers (ver. 2)
46 Solution: Maximum Frequency Stack
47 Solution: Distribute Candies
48 Solution: Set Mismatch (ver. 1)
49 Solution: Set Mismatch (ver. 2)
50 Solution: Missing Number
51 Solution: Intersection of Two Linked Lists
52 Solution: Average of Levels in Binary Tree
53 Solution: Short Encoding of Words (ver. 1)
54 Solution: Design HashMap (ver. 1)
55 Solution: Short Encoding of Words (ver. 2)
56 Solution: Design HashMap (ver. 2)
57 Solution: Remove Palindromic Subsequences
58 Solution: Add One Row to Tree
59 Solution: Integer to Roman
60 Solution: Coin Change
61 Solution: Check If a String Contains All Binary Codes of Size K
62 Solution: Binary Trees With Factors
63 Solution: Swapping Nodes in a Linked List
64 Solution: Encode and Decode TinyURL
65 Solution: Best Time to Buy and Sell Stock with Transaction Fee
66 Solution: Generate Random Point in a Circle
67 Solution: Wiggle Subsequence
68 Solution: Keys and Rooms
69 Solution: Design Underground System
70 Solution: Reordered Power of 2
71 Solution: Vowel Spellchecker
72 Solution: 3Sum With Multiplicity
73 Solution: Advantage Shuffle
74 Solution: Pacific Atlantic Water Flow
75 Solution: Word Subsets
76 Solution: Palindromic Substrings
77 Solution: Reconstruct Original Digits from English
78 Solution: Flip Binary Tree To Match Preorder Traversal
79 Solution: Russian Doll Envelopes
80 Solution: Stamping The Sequence
81 Solution: Palindrome Linked List
82 Solution: Ones and Zeroes
83 Solution: Longest Valid Parentheses
84 Solution: Design Circular Queue
85 Solution: Global and Local Inversions
86 Solution: Minimum Operations to Make Array Equal
87 Solution: Determine if String Halves Are Alike
88 Solution: Letter Combinations of a Phone Number
89 Solution: Verifying an Alien Dictionary
90 Solution: Longest Increasing Path in a Matrix
91 Solution: Deepest Leaves Sum
92 Solution: Beautiful Arrangement II
93 Solution: Flatten Nested List Iterator
94 Solution: Partition List
95 Solution: Fibonacci Number
96 Solution: Remove All Adjacent Duplicates in String II
97 Solution: Number of Submatrices That Sum to Target
98 Solution: Remove Nth Node From End of List
99 Solution: Combination Sum IV
100 Solution: N-ary Tree Preorder Traversal
101 Solution: Triangle
102 Solution: Brick Wall
103 Solution: Count Binary Substrings
104 Solution: Critical Connections in a Network
105 Solution: Rotate Image
106 Solution: Furthest Building You Can Reach
107 Solution: Power of Three
108 Solution: Unique Paths II
109 Solution: Find First and Last Position of Element in Sorted Array
110 Solution: Powerful Integers
111 Solution: Prefix and Suffix Search
112 Solution: Course Schedule III
113 Solution: Running Sum of 1d Array
114 Solution: Non-decreasing Array
115 Solution: Jump Game II
116 Solution: Convert Sorted List to Binary Search Tree
117 Solution: Delete Operation for Two Strings
118 Solution: Super Palindromes
119 Solution: Construct Target Array With Multiple Sums
120 Solution: Count Primes
121 Solution: Maximum Points You Can Obtain from Cards
122 Solution: Range Sum Query 2D – Immutable
123 Solution: Ambiguous Coordinates
124 Solution: Flatten Binary Tree to Linked List
125 Solution: Valid Number
126 Solution: Binary Tree Cameras
127 Solution: Longest String Chain
128 Solution: Find Duplicate File in System
129 Solution: Minimum Moves to Equal Array Elements II
130 Solution: Binary Tree Level Order Traversal
131 Solution: Find and Replace Pattern
132 Solution: N-Queens
133 Solution: To Lower Case
134 Solution: Evaluate Reverse Polish Notation
135 Solution: Partitioning Into Minimum Number Of Deci-Binary Numbers
136 Solution: Maximum Product of Word Lengths
137 Solution: Maximum Erasure Value
138 Solution: N-Queens II
139 Solution: Maximum Gap
140 Solution: Search Suggestions System
141 Solution: Max Area of Island
142 Solution: Interleaving String
143 Solution: Maximum Area of a Piece of Cake After Horizontal and Vertical Cuts
144 Solution: Open the Lock
145 Solution: Maximum Performance of a Team
146 Solution: Longest Consecutive Sequence
147 Solution: Min Cost Climbing Stairs
148 Solution: Construct Binary Tree from Preorder and Inorder Traversal
149 Solution: Jump Game VI
150 Solution: My Calendar I
151 Solution: Stone Game VII
152 Solution: Minimum Number of Refueling Stops
153 Solution: Palindrome Pairs
154 Solution: Maximum Units on a Truck
155 Solution: Matchsticks to Square
156 Solution: Generate Parentheses
157 Solution: Number of Subarrays with Bounded Maximum
158 Solution: Swim in Rising Water
159 Solution: Pascal’s Triangle
160 Solution: Out of Boundary Paths
161 Solution: Redundant Connection

This is part of a series of Leetcode solution explanations (index). If you liked this solution or found it useful, please like this post and/or upvote my solution post on Leetcode’s forums.

Leetcode Problem #240 (Medium): Search a 2D Matrix II

Description:

(Jump to: Solution Idea || Code: JavaScript | Python | Java | C++)

Write an efficient algorithm that searches for a target value in an m x n integer matrix. The 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.

Examples:

Example 1:

Input: 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]]
target = 5

Output: true

Visual:

Example 2:

Input: 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]]
target = 20

Output: false

Visual:

Example 1:
Input:	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]] target = 5
Output:	true
Visual:

Example 2:
Input:	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]] target = 20
Output:	false
Visual:

Constraints:

m == matrix.length

n == matrix[i].length

1 <= n, m <= 300

-10^9 <= matix[i][j] <= 10^9

All the integers in each row are sorted in ascending order.

All the integers in each column are sorted in ascending order.

-10^9 <= target <= 10^9

Idea:

(Jump to: Problem Description || Code: JavaScript | Python | Java | C++)

The naive approach here would be to check every cell at a time complexity of O(m * n). The obvious improvement on this would be to use a binary search on each row to shorten this to O(m * log n). But since the matrix (M) is sorted both by row and by column, we can actually think of each cell (M[i][j]) as being a midpoint in a longer “row”, including all the cells to the left as well as below the current cell.

If we start from the top right corner of M and treat this like a modified binary search, we can eliminate an entire row or an entire column each time we check a cell:

We’ll then just need to adjust our i or j value to move to the top right corner “midpoint” of the remaining matrix each time to narrow in on our target (T):

This will drop the time complexity to O(m + n).

(Note: This works just as well when starting from the bottom left corner.)

Implementation:

For all except Java we can use the bitwise NOT operator (~) to check for boundary condition of j because it will return a falsy value (0) only when j is -1.

(Note: Some people are achieving “faster” results by exploiting a design flaw in the testing suite. It appears that the test includes one or more loops of the same matrix input and people have had the idea to clear the matrix before returning the answer, which will make the rest of said loop easier to process, as the mutated matrix will be used in subsequent iterations of the test.)

Javascript Code:

(Jump to: Problem Description || Solution Idea)

var searchMatrix = function(M, T) {
    let y = M.length, i = 0, j = M[0].length - 1
    while (i < y && ~j) {
        let cell = M[i][j]
        if (cell === T) return true
        else if (cell > T) j--
        else i++
    }
    return false
};

Enter fullscreen mode Exit fullscreen mode

Python Code:

(Jump to: Problem Description || Solution Idea)

class Solution:
    def searchMatrix(self, M: List[List[int]], T: int) -> bool:
        y, i, j = len(M), 0, len(M[0]) - 1
        while i < y and ~j:
            cell = M[i][j]
            if cell == T: return True
            elif cell > T: j -= 1
            else: i += 1
        return False

Enter fullscreen mode Exit fullscreen mode

Java Code:

(Jump to: Problem Description || Solution Idea)

class Solution {
    public boolean searchMatrix(int[][] M, int T) {
        int y = M.length, i = 0, j = M[0].length - 1;
        while (i < y && j >= 0) {
            int cell = M[i][j];
            if (cell == T) return true;
            else if (cell > T) j--;
            else i++;
        }
        return false;
    }
}

Enter fullscreen mode Exit fullscreen mode

C++ Code:

(Jump to: Problem Description || Solution Idea)

class Solution {
public:
    bool searchMatrix(vector<vector<int>>& M, int T) {
        int y = M.size(), i = 0, j = M[0].size() - 1;
        while (i < y && ~j) {
            int cell = M[i][j];
            if (cell == T) return true;
            else if (cell > T) j--;
            else i++;
        }
        return false;
    }
};

Enter fullscreen mode Exit fullscreen mode

Leetcode Solutions (161 Part Series)

原文链接：Solution: Search a 2D Matrix II

文章版权声明 1、本网站名称：拾光赋
2、本站永久网址：https://www.blogs.ink
3、本网站的文章部分内容可能来源于网络，仅供大家学习与参考，如有侵权，请联系站长QQ：805375623进行删除处理。
4、本站一切资源不代表本站立场，并不代表本站赞同其观点和对其真实性负责。
5、本站一律禁止以任何方式发布或转载任何违法的相关信息，访客发现请向站长举报
6、本站资源大多存储在云盘，如发现链接失效，请联系我们我们会第一时间更新。

THE END