# 13.Next Greater Element III

Given a positive **32-bit** integer **n**, you need to find the smallest **32-bit** integer which has exactly the same digits existing in the integer **n** and is greater in value than n. If no such positive **32-bit** integer exists, you need to return -1.

```
Example 1:
Input: 12
Output: 21 

Example 2:
Input: 21
Output: -1
```

## Solution : (Same as next permutation)

```cpp
class Solution
{
public:
    void reverse(vector<int> &v, int start)
    {

        int end = v.size() - 1;

        while (start <= end)
        {
            if (v[start] > v[end])
            {
                swap(v[start], v[end]);
            }
            start++;
            end--;
        }
        return;
    }
    
    int nextGreaterElement(int n)
    {

        vector<int> v;
        while (n > 0)
        {
            int x = n % 10;
            v.insert(v.begin(), x);
            n = n / 10;
        }

        int idx = -1;
        for (int i = v.size() - 1; i > 0; i--)
        {
            if (v[i - 1] < v[i])
            {
                idx = i - 1;
                break;
            }
        }

        if (idx != -1)
        {

            int idx2 = idx + 1;
            for (int i = idx + 1; i < v.size(); i++)
            {
                if (v[i] > v[idx] && v[i] <= v[idx2])
                {
                    idx2 = i;
                }
            }
            swap(v[idx], v[idx2]);
            reverse(v, idx + 1);
        }
        else
        {
            return -1;
        }

        int num = 0;
        for (int i = 0; i < v.size(); i++)
        {
            num = num * 10 + v[i];
            if(num > INT_MAX/10){
                return -1;
            }
        }

        return num;
    }
};
```

**Time Complexity: O(n)**


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