1306. Jump Game III
Medium
Given an array of non-negative integers arr
, you are initially positioned at start
index of the array. When you are at index i
, you can jump to i + arr[i]
or i - arr[i]
, check if you can reach to any index with value 0.
Notice that you can not jump outside of the array at any time.
Example 1:
Input: arr = [4,2,3,0,3,1,2], start = 5 Output: true Explanation: All possible ways to reach at index 3 with value 0 are: index 5 -> index 4 -> index 1 -> index 3 index 5 -> index 6 -> index 4 -> index 1 -> index 3
Example 2:
Input: arr = [4,2,3,0,3,1,2], start = 0 Output: true Explanation: One possible way to reach at index 3 with value 0 is: index 0 -> index 4 -> index 1 -> index 3
Example 3:
Input: arr = [3,0,2,1,2], start = 2 Output: false Explanation: There is no way to reach at index 1 with value 0.
Constraints:
1 <= arr.length <= 5 * 10^4
0 <= arr[i] < arr.length
0 <= start < arr.length
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 | class Solution { int n; Set<Integer> visited = new HashSet<>(); public boolean canReach(int[] arr, int start) { this.n = arr.length; visited.add(start); return dfs(arr, start); } boolean dfs(int[] arr, int node){ if(arr[node]==0) return true; int left = node-arr[node], right = node+arr[node]; if(left>=0 && !visited.contains(left)){ visited.add(left); if(dfs(arr, left)) return true; } if(right<n && !visited.contains(right)){ visited.add(right); if(dfs(arr, right)) return true; } return false; } } |
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