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**Widest Path Without Trees Solution**

There are N trees in the forest (numbered from 0 to N-1). The Kth tree is located at coordinates (X[k], Y[k]).

We want to build the largest possible vertical path so that there is no tree. The path must be established somewhere between the leftmost tree and the rightmost tree, which means that the width of the path is not infinite.

**Write a function:**

public static Integer solution(int[] X, int[] Y), given the N integers to form the X and Y of the array, they indicate the position of the tree, then return the most constructable The width of the wide path.

**Example**

Given X=[1,8,7,3,4,1,8] , Y=[6,4,1,8,5,1,7] , the function should return 3.

**SOLUTION**

*Program :***Widest Path Without Trees Solution** in Java

```
public static void main(String[] args) {
int[] M = {1, 8, 7, 3, 4, 1, 8};
int[] N = {6, 4, 1, 8, 5, 1, 7};
System.out.println(solution2(M, N));
int[] M1 = {5, 5, 5, 7, 7, 7};
int[] N1 = {3, 4, 5, 1, 3, 4};
System.out.println(solution2(M1, N1));
int[] M2 = {6, 10, 1, 4, 4};
int[] N2 = {2, 5, 3, 1, 6};
System.out.println(solution2(M2, N2));
int[] M3 = {4, 1, 5, 4};
int[] N3 = {4, 5, 1, 3};
System.out.println(solution2(M3, N3));
}
public static Integer solution2(int[] X, int[] Y) {
int maxX = 0;
int maxY = 0;
ArrayList<Integer> X = new ArrayList<>();
ArrayList<Integer> Y = new ArrayList<>();
for (int i : X) {
X.add(i);
}
for (int i : Y) {
Y.add(i);
}
Collections.sort(X);
Collections.sort(Y);
for (int i = 1; i < X.size(); i++) {
int j = X.get(i) - X.get(i - 1);
maxX = j >= maxX ? j : maxX;
}
for (int i = 1; i < Y.size(); i++) {
int j = Y.get(i) - Y.get(i - 1);
maxY = j >= maxY ? j : maxY;
}
return maxX >= maxY ? maxX : maxY;
}
```

**Microsoft Online Assessment 2023 Questions List**

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