# Python – Nth smallest Greater than K

This article offers various approaches to solve the problem of finding Nth smallest number in python list greater than a specific element K in python list. This basically provides all the approaches from naive to one-liners so that they can be used in programming whenever required.

Method 1 : Naive Method + `sort()`
Using loop we keep on adding elements that are greater than K and then sort the list and find the Nth element greater than K.

 `# Python 3 code to demonstrate  ` `# Nth smallest Greater than K ` `# using naive method + sort() ` ` `  `# Initializing list  ` `test_list ``=` `[``1``, ``4``, ``7``, ``5``, ``10``] ` ` `  `# Initializing k ` `k ``=` `6` ` `  `# Initializing N  ` `N ``=` `2` ` `  `# Printing original list  ` `print` `(``"The original list is : "` `+` `str``(test_list)) ` ` `  `# Using naive method + sort() ` `# Nth smallest Greater than K ` `res ``=` `[] ` `for` `i ``in` `test_list : ` `    ``if` `i > k : ` `        ``res.append(i) ` `res.sort() ` ` `  `# Printing result  ` `print` `(``"The Nth minimum value greater than 6 is : "` `+` `str``(res[N ``-` `1``])) `

Output :

```The original list is : [1, 4, 7, 5, 10]
The Kth minimum value greater than 6 is : 10
```

Method 2 :` lambda + filter() + sort()`
Similar approach to method above, just to filter the numbers in list greater than k, filter() instead of loop is used in this approach. Works in a similar way as above after that.

 `# Python 3 code to demonstrate  ` `# Nth smallest Greater than K ` `# using min() + sort() + lambda ` ` `  `# Initializing list  ` `test_list ``=` `[``1``, ``4``, ``7``, ``5``, ``10``] ` ` `  `# Initializing k ` `k ``=` `6` ` `  `# Initializing N  ` `N ``=` `2` ` `  `# Printing original list  ` `print` `(``"The original list is : "` `+` `str``(test_list)) ` ` `  `# Nth smallest Greater than K ` `# using min() + sort() + lambda ` `res ``=` `list``(``filter``(``lambda` `i: i > k, test_list)) ` `res.sort() ` ` `  `# Printing result  ` `print` `(``"The Nth minimum value greater than 6 is : "` `+` `str``(res[N ``-` `1``])) `

Output :

```The original list is : [1, 4, 7, 5, 10]
The Kth minimum value greater than 6 is : 10
```

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