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MaxWidth of a vertical path
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import java.util.*; | |
/* | |
Time complexity O(N*logN) where n is the number of x points. | |
Space O(1) | |
*/ | |
public class MaxWidth{ | |
public static int maxWidth(int[] X, int[] Y) { | |
Arrays.sort(X); | |
int xprev = X[0]; | |
int maxWidth = 0; | |
for (int i = 1; i < X.length; i++) { | |
int width = X[i] - xprev; | |
if (maxWidth < width) { | |
maxWidth = width; | |
} | |
xprev = X[i]; | |
} | |
return maxWidth; | |
} | |
public static void main(String []args){ | |
int[] x = new int[]{4,1,5,4}; | |
int[] y = new int[]{4,5,1,3}; | |
System.out.println(maxWidth(x, y)); | |
int[] x1 = new int[]{5,5,5,7,7,7}; | |
int[] y1 = new int[]{3,4,5,1,3,7}; | |
System.out.println(maxWidth(x1,y1)); | |
int[] x2 = new int[]{6,10,1,4,3}; | |
int[] y2 = new int[]{2,5,3,1,6}; | |
System.out.println(maxWidth(x2,y2)); | |
int[] x3= new int[]{2,6,7}; | |
int[] y3= new int[]{6,11,3}; | |
System.out.println(maxWidth(x3,y3)); | |
int[] x4 = new int[]{2,4,7}; | |
int[] y4 = new int[]{11,4,2}; | |
System.out.println(maxWidth(x4,y4)); | |
int[] x5 = new int[]{3,2,7}; | |
int[] y5 = new int[]{11,11,11}; | |
System.out.println(maxWidth(x5,y5)); | |
int[] x6 = new int[]{2,5,9}; | |
int[] y6 = new int[]{10,2,12}; | |
System.out.println(maxWidth(x6,y6)); | |
int[] x7 = new int[]{2,4,7}; | |
int[] y7 = new int[]{2,4,11}; | |
System.out.println(maxWidth(x7,y7)); | |
int[] x8 = new int[]{2,5,7,9}; | |
int[] y8 = new int[]{10,2,5,12}; | |
System.out.println(maxWidth(x8,y8)); | |
} | |
} |
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