[Leetcode 74, medium] Search a 2D Matrix

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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 from left to right.
  • The first integer of each row is greater than the last integer of the previous row.

For example,

Consider the following matrix:

[  [1,   3,  5,  7],  [10, 11, 16, 20],  [23, 30, 34, 50]]

Given target = 3, return true.

Analysis:


Solutions:

C++:

    bool searchMatrix(vector<vector<int> > &matrix, int target) {        if(matrix.empty() || matrix[0].empty() || target < matrix[0][0] || target > matrix[matrix.size() - 1][matrix[0].size() - 1])            return false;                    int start = 0, end = matrix.size() - 1;        for(; start <= end;) {            if(start == end)                break;            else if(start == end - 1) {                if(matrix[end][0] <= target)                    start = end;                                break;            } else {                int mid = (start + end) / 2;                if(matrix[mid][0] == target)                    return true;                else if(matrix[mid][0] < target)                    start = mid;                else                    end = mid;            }        }                int row = start;        start = 0;        end = matrix[row].size() - 1;        for(; start <= end;) {            if(start == end) {                if(matrix[row][start] == target)                    return true;                else                    return false;            } else if(start == end - 1) {                if(matrix[row][start] == target || matrix[row][end] == target)                    return true;                else                    break;            } else {                int mid = (start + end) / 2;                if(matrix[row][mid] == target)                    return true;                else if(matrix[row][mid] < target)                    start = mid;                else                    end = mid;            }        }                return false;    }
Java:


Python:


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