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492. Construct the Rectangle

2019-11-08 02:57:10
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For a web developer, it is very important to know how to design a web page’s size. So, given a specific rectangular web page’s area, your job by now is to design a rectangular web page, whose length L and width W satisfy the following requirements:

1. The area of the rectangular web page you designed must equal to the given target area.2. The width W should not be larger than the length L, which means L >= W.3. The difference between length L and width W should be as small as possible.

You need to output the length L and the width W of the web page you designed in sequence. Example:

Input: 4Output: [2, 2]Explanation: The target area is 4, and all the possible ways to construct it are [1,4], [2,2], [4,1]. But according to requirement 2, [1,4] is illegal; according to requirement 3, [4,1] is not optimal compared to [2,2]. So the length L is 2, and the width W is 2.

Note: The given area won’t exceed 10,000,000 and is a positive integer The web page’s width and length you designed must be positive integers.

class Solution {public: vector<int> constructRectangle(int area) { int L = 0, W = 0; for(int i = 1; i * i <= area; ++i){ if(area % i == 0){ if(L == 0 || W == 0){ L = max(area / i, i); W = area / L; } if(abs(area / i - i) < (L - W)){ L = max(area / i, i); W = area / L; } } } return vector<int>{L, W}; }};
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