# 1663. Smallest String With A Given Numeric Value

#### Medium

***

The **numeric value** of a **lowercase character** is defined as its position `(1-indexed)` in the alphabet, so the numeric value of `a` is `1`, the numeric value of `b` is `2`, the numeric value of `c` is `3`, and so on.

The **numeric value** of a **string** consisting of lowercase characters is defined as the sum of its characters' numeric values. For example, the numeric value of the string `"abe"` is equal to `1 + 2 + 5 = 8`.

You are given two integers `n` and `k`. Return *the **lexicographically smallest string** with **length** equal to `n` and **numeric value** equal to `k`.*

Note that a string `x` is lexicographically smaller than string `y` if `x` comes before `y` in dictionary order, that is, either `x` is a prefix of `y`, or if `i` is the first position such that `x[i] != y[i]`, then `x[i]` comes before `y[i]` in alphabetic order.

 

**Example 1:**

```
Input: n = 3, k = 27
Output: "aay"
Explanation: The numeric value of the string is 1 + 1 + 25 = 27, and it is the smallest string with such a value and length equal to 3.
```

**Example 2:**

```
Input: n = 5, k = 73
Output: "aaszz"
```

 

**Constraints:**

* `1 <= n <= 105`
* `n <= k <= 26 * n`

```python
class Solution:
    def getSmallestString(self, n: int, k: int) -> str:
        result = []
        for index in range(n):
            # print(26*(n-index-1))
            id = max(k - 26*(n-index-1), 1)
            result.append(chr(97 + id - 1))
            k -= id
        return ''.join(result)
```