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Home Code Solutions

Kth Smallest Element in a Sorted Matrix – LeetCode Solution

Kth Smallest Element in a Sorted Matrix - LeetCode Solution Java , Python 3, Python 2 , C , C++, Best and Optimal Solutions , All you need.

BhautikBhalala by BhautikBhalala
September 7, 2022
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Leetcode All Problems Solutions

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  • Kth Smallest Element in a Sorted Matrix – LeetCode Solution Java , Python 3, Python 2 , C , C++, Best and Optimal Solutions , All you need.
  • C++ Kth Smallest Element in a Sorted Matrix LeetCode Solution
  • Java Kth Smallest Element in a Sorted Matrix LeetCode Solution
  • Python 3 Kth Smallest Element in a Sorted Matrix LeetCode Solution
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Kth Smallest Element in a Sorted Matrix – LeetCode Solution Java , Python 3, Python 2 , C , C++, Best and Optimal Solutions , All you need.

Given an n x n matrix where each of the rows and columns is sorted in ascending order, return the kth smallest element in the matrix.

Note that it is the kth smallest element in the sorted order, not the kth distinct element.

You must find a solution with a memory complexity better than O(n2).

 

Example 1:

Input: matrix = [[1,5,9],[10,11,13],[12,13,15]], k = 8
Output: 13
Explanation: The elements in the matrix are [1,5,9,10,11,12,13,13,15], and the 8th smallest number is 13

Example 2:

Input: matrix = [[-5]], k = 1
Output: -5

 

Constraints:

  • n == matrix.length == matrix[i].length
  • 1 <= n <= 300
  • -109 <= matrix[i][j] <= 109
  • All the rows and columns of matrix are guaranteed to be sorted in non-decreasing order.
  • 1 <= k <= n2

C++ Kth Smallest Element in a Sorted Matrix LeetCode Solution


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class Solution { // 20 ms, faster than 98.92%
public:
int m, n;
int kthSmallest(vector<vector<int>>& matrix, int k) {
m = matrix.size(), n = matrix[0].size(); // For general, the matrix need not be a square
int left = matrix[0][0], right = matrix[m-1][n-1], ans = -1;
while (left <= right) {
int mid = (left + right) >> 1;
if (countLessOrEqual(matrix, mid) >= k) {
ans = mid;
right = mid – 1; // try to looking for a smaller value in the left side
} else left = mid + 1; // try to looking for a bigger value in the right side
}
return ans;
}
int countLessOrEqual(vector<vector<int>>& matrix, int x) {
int cnt = 0, c = n – 1; // start with the rightmost column
for (int r = 0; r < m; ++r) {
while (c >= 0 && matrix[r][c] > x) –c; // decrease column until matrix[r][c] <= x
cnt += (c + 1);
}
return cnt;
}
};

Java Kth Smallest Element in a Sorted Matrix LeetCode Solution


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class Solution { // 0 ms, faster than 100%
int m, n;
public int kthSmallest(int[][] matrix, int k) {
m = matrix.length; n = matrix[0].length; // For general, the matrix need not be a square
int left = matrix[0][0], right = matrix[m-1][n-1], ans = -1;
while (left <= right) {
int mid = (left + right) >> 1;
if (countLessOrEqual(matrix, mid) >= k) {
ans = mid;
right = mid – 1; // try to looking for a smaller value in the left side
} else left = mid + 1; // try to looking for a bigger value in the right side
}
return ans;
}
int countLessOrEqual(int[][] matrix, int x) {
int cnt = 0, c = n – 1; // start with the rightmost column
for (int r = 0; r < m; ++r) {
while (c >= 0 && matrix[r][c] > x) –c; // decrease column until matrix[r][c] <= x
cnt += (c + 1);
}
return cnt;
}
}

 



Python 3 Kth Smallest Element in a Sorted Matrix LeetCode Solution


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class Solution { // 0 ms, faster than 100%
int m, n;
public int kthSmallest(int[][] matrix, int k) {
m = matrix.length; n = matrix[0].length; // For general, the matrix need not be a square
int left = matrix[0][0], right = matrix[m-1][n-1], ans = -1;
while (left <= right) {
int mid = (left + right) >> 1;
if (countLessOrEqual(matrix, mid) >= k) {
ans = mid;
right = mid – 1; // try to looking for a smaller value in the left side
} else left = mid + 1; // try to looking for a bigger value in the right side
}
return ans;
}
int countLessOrEqual(int[][] matrix, int x) {
int cnt = 0, c = n – 1; // start with the rightmost column
for (int r = 0; r < m; ++r) {
while (c >= 0 && matrix[r][c] > x) –c; // decrease column until matrix[r][c] <= x
cnt += (c + 1);
}
return cnt;
}
}



 

Array-1180
String-562
Hash Table-412
Dynamic Programming-390
Math-368
Sorting-264


Greedy-257
Depth-First Search-256
Database-215
Breadth-First Search-200
Tree-195


Binary Search-191
Matrix-176
Binary Tree-160
Two Pointers-151
Bit Manipulation-140


Stack-133
Heap (Priority Queue)-117
Design-116
Graph-108
Simulation-103
Prefix Sum-96


Backtracking-92
Counting-86
Sliding Window-73
Linked List-69
Union Find-66


Ordered Set-48
Monotonic Stack-47
Recursion-43
Trie-41
Binary Search Tree-40
Divide and Conquer-40


Enumeration-39
Bitmask-37
Queue-33
Memoization-32
Topological Sort-31


Geometry-30
Segment Tree-27
Game Theory-24
Hash Function-24
Binary Indexed Tree-21


Interactive-18
Data Stream-17
String Matching-17
Rolling Hash-17
Shortest Path-16


Number Theory-16
Combinatorics-15
Randomized-12
Monotonic Queue-9
Iterator-9
Merge Sort-9


Concurrency-9
Doubly-Linked List-8
Brainteaser-8
Probability and Statistics-7
Quickselect-7


Bucket Sort-6
Suffix Array-6
Minimum Spanning Tree-5
Counting Sort-5
Shell-4


Line Sweep-4
Reservoir Sampling-4
Eulerian Circuit-3
Radix Sort-3


Strongly Connected Componen-t2
Rejection Sampling-2
Biconnected Component-1

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Tags: Cc++14full solutionGojavajava 15java 7java 8java8javascriptkotlinKth Smallest Element in a Sorted MatrixLeetCodeLeetCodeSolutionpypy 3Python 2python 3rubyrustSolution
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