Question Definition
You are given an array of positive and negative integers. If a number n at an index is positive, then move forward n steps. Conversely, if it’s negative (-n), move backward n steps. Assume the first element of the array is forward next to the last element, and the last element is backward next to the first element. Determine if there is a loop in this array. A loop starts and ends at a particular index with more than 1 element along the loop. The loop must be “forward” or “backward’.
Example 1: Given the array [2, -1, 1, 2, 2]
, there is a loop, from index 0 -> 2 -> 3 -> 0.
Example 2: Given the array [-1, 2]
, there is no loop.
Note: The given array is guaranteed to contain no element “0”.
Can you do it in O(n) time complexity and O(1) space complexity?
Java Solution
public boolean circularArrayLoop(int[] nums) {
if(nums == null || nums.length == 0) return false;
int n = nums.length;
for(int i=0; i<n; i++){
if(nums[i] == 0) continue;
int slow = i, fast = i, count = 0;
boolean forward = nums[slow] > 0;
do{
int tempSlow = slow;
slow = (slow + nums[slow] + n) % n;
if(forward && nums[fast] < 0 || !forward && nums[fast] > 0) return false;
fast = (fast + nums[fast] + n) % n;
if(forward && nums[fast] < 0 || !forward && nums[fast] > 0) return false;
fast = (fast + nums[fast] + n) % n;
nums[tempSlow] = 0;
count++;
} while(slow != fast);
if(count > 1) return true;
}
return false;
}
Comments