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492. Construct the Rectangle
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: 4 Output: [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.
My solution:
1 public int[] constructRectangle(int area) { 2 // Define an array of length 2. 3 int[] arr = new int[2]; 4 5 // Compute the square root of area. 6 Double x = Math.sqrt(new Integer(area)); 7 int y = x.intValue(); 8 9 /* Start a cycle from the square root to 1. 10 * Divide area by i, fill in the arr if reminder is 0. 11 * Return the first arr. 12 */ 13 for(int i = y; i>=1 ; i--){ 14 if(area%i == 0){ 15 arr[0] = area/i; 16 arr[1] = i; 17 break; 18 } 19 } 20 21 return arr; 22 }
492. Construct the Rectangle
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