LeetCode 240. Search a 2D Matrix II
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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.
For 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
.
Observe carefully... 0 colomn and m-1 row is a increasing sequence.... same with 1 column and m-2 row....etc al.
#include <vector>#include <iostream>using namespace std;bool searchMatrix(vector<vector<int>>& matrix, int target) { if(matrix.size() == 0) return false; if(matrix[0].size() == 0) return false; int m = matrix.size(); int n = matrix[0].size(); int i = m-1, j = 0; while(i >= 0 && j < n) { if(matrix[i][j] == target) return true; else if(matrix[i][j] < target) j++; else i--; } return false;}int main(void) { vector< vector<int> > 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}}; bool found = searchMatrix(matrix, 5); cout << found << endl;}
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