1340. Jump Game V Hard

1/**
2 * [1340] Jump Game V
3 *
4 * Given an array of integers arr and an integer d. In one step you can jump from index i to index:
5 * 
6 * 	i + x where: i + x < arr.length and  0 < x <= d.
7 * 	i - x where: i - x >= 0 and  0 < x <= d.
8 * 
9 * In addition, you can only jump from index i to index j if arr[i] > arr[j] and arr[i] > arr[k] for all indices k between i and j (More formally min(i, j) < k < max(i, j)).
10 * You can choose any index of the array and start jumping. Return the maximum number of indices you can visit.
11 * Notice that you can not jump outside of the array at any time.
12 *  
13 * Example 1:
14 * <img alt="" src="https://assets.leetcode.com/uploads/2020/01/23/meta-chart.jpeg" style="width: 633px; height: 419px;" />
15 * Input: arr = [6,4,14,6,8,13,9,7,10,6,12], d = 2
16 * Output: 4
17 * Explanation: You can start at index 10. You can jump 10 --> 8 --> 6 --> 7 as shown.
18 * Note that if you start at index 6 you can only jump to index 7. You cannot jump to index 5 because 13 > 9. You cannot jump to index 4 because index 5 is between index 4 and 6 and 13 > 9.
19 * Similarly You cannot jump from index 3 to index 2 or index 1.
20 * 
21 * Example 2:
22 * 
23 * Input: arr = [3,3,3,3,3], d = 3
24 * Output: 1
25 * Explanation: You can start at any index. You always cannot jump to any index.
26 * 
27 * Example 3:
28 * 
29 * Input: arr = [7,6,5,4,3,2,1], d = 1
30 * Output: 7
31 * Explanation: Start at index 0. You can visit all the indicies. 
32 * 
33 *  
34 * Constraints:
35 * 
36 * 	1 <= arr.length <= 1000
37 * 	1 <= arr[i] <= 10^5
38 * 	1 <= d <= arr.length
39 * 
40 */
41pub struct Solution {}
42
43// problem: https://leetcode.com/problems/jump-game-v/
44// discuss: https://leetcode.com/problems/jump-game-v/discuss/?currentPage=1&orderBy=most_votes&query=
45
46// submission codes start here
47
48impl Solution {
49    pub fn max_jumps(arr: Vec<i32>, d: i32) -> i32 {
50        0
51    }
52}
53
54// submission codes end
55
56#[cfg(test)]
57mod tests {
58    use super::*;
59
60    #[test]
61    fn test_1340() {
62    }
63}
64