1663. Smallest String With A Given Numeric Value

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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

答案

func getSmallestString(n int, k int) string {
	res := make([]rune, 0,n)

	smallest := 'a'

	check := func(e rune, len, k int) bool {
		e = e- 'a' + 1
		if 26*(len-1) < k-int(e) || len-1 > k-int(e) {
			return false
		}
		return true
	}

	for n > 0 {
		//检查smallest是否满足
		if check(smallest, n, k) {
			res = append(res, smallest)
			n--
			k -= int(smallest-'a'+1)
		} else {
			smallest++
		}

	}

	return string(res)
}