# 1663. Smallest String With A Given Numeric Value

## Description

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

## Solutions

• class Solution {
public String getSmallestString(int n, int k) {
char[] ans = new char[n];
Arrays.fill(ans, 'a');
int i = n - 1, d = k - n;
for (; d > 25; d -= 25) {
ans[i--] = 'z';
}
ans[i] = (char) ('a' + d);
return String.valueOf(ans);
}
}

• class Solution {
public:
string getSmallestString(int n, int k) {
string ans(n, 'a');
int i = n - 1, d = k - n;
for (; d > 25; d -= 25) {
ans[i--] = 'z';
}
ans[i] += d;
return ans;
}
};

• class Solution:
def getSmallestString(self, n: int, k: int) -> str:
ans = ['a'] * n
i, d = n - 1, k - n
while d > 25:
ans[i] = 'z'
d -= 25
i -= 1
ans[i] = chr(ord(ans[i]) + d)
return ''.join(ans)


• func getSmallestString(n int, k int) string {
ans := make([]byte, n)
for i := range ans {
ans[i] = 'a'
}
i, d := n-1, k-n
for ; d > 25; i, d = i-1, d-25 {
ans[i] = 'z'
}
ans[i] += byte(d)
return string(ans)
}