# Java code with an example to illustrate

• ``````public class Solution {
public int arrayNesting(int[] nums) {
// algorithm 2017/06/15: It is easy to translate this problem into splitting all given numbers into a number of 'islands'/sets. For numbers in each set, they are cycled based on A[K], A[A[K]], A[A[A[K]]], ...
// Example
/*
2 4 5 3 0 1 => two sets (2,5,1,4,0) and (3)
S[0]: 2 5 1 4 0
S[1]: 4 0 2 5 1
S[2]: 5 1 4 0 2
S[3]: 3
S[4]: 0 2 5 1 4
S[5]: 5 1 4 0 2
*/
// we will need to find the island with most numbers

if (null == nums || 0 == nums.length) {
return 0;
}

boolean[] visited = new boolean[nums.length];
int maxSetSize  = 0;

for (int startK = 0; startK < nums.length; startK++) {
if (visited[startK]) {
continue;       // the number is already put into certain set before, skip it
}

// now let us start a new set
visited[startK]  = true;
Set<Integer> set = new HashSet<>();
int chainedNum   = nums[startK];
do {
break;
} else {
visited[chainedNum] = true;
}
chainedNum = nums[chainedNum];
} while (true);
maxSetSize = Math.max(maxSetSize, set.size());
}
return maxSetSize;
}
}``````

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