1742. Maximum Number of Balls in a Box

1742. Maximum Number of Balls in a Box #

题目 #

You are working in a ball factory where you have n balls numbered from lowLimit up to highLimit inclusive (i.e., n == highLimit - lowLimit + 1), and an infinite number of boxes numbered from 1 to infinity.

Your job at this factory is to put each ball in the box with a number equal to the sum of digits of the ball’s number. For example, the ball number 321 will be put in the box number 3 + 2 + 1 = 6 and the ball number 10 will be put in the box number 1 + 0 = 1.

Given two integers lowLimit and highLimit, return the number of balls in the box with the most balls.

Example 1:

Input: lowLimit = 1, highLimit = 10
Output: 2
Explanation:
Box Number:  1 2 3 4 5 6 7 8 9 10 11 ...
Ball Count:  2 1 1 1 1 1 1 1 1 0  0  ...
Box 1 has the most number of balls with 2 balls.

Example 2:

Input: lowLimit = 5, highLimit = 15
Output: 2
Explanation:
Box Number:  1 2 3 4 5 6 7 8 9 10 11 ...
Ball Count:  1 1 1 1 2 2 1 1 1 0  0  ...
Boxes 5 and 6 have the most number of balls with 2 balls in each.

Example 3:

Input: lowLimit = 19, highLimit = 28
Output: 2
Explanation:
Box Number:  1 2 3 4 5 6 7 8 9 10 11 12 ...
Ball Count:  0 1 1 1 1 1 1 1 1 2  0  0  ...
Box 10 has the most number of balls with 2 balls.

Constraints:

  • 1 <= lowLimit <= highLimit <= 10^5

题目大意 #

你在一家生产小球的玩具厂工作,有 n 个小球,编号从 lowLimit 开始,到 highLimit 结束(包括 lowLimit 和 highLimit ,即 n == highLimit - lowLimit + 1)。另有无限数量的盒子,编号从 1 到 infinity 。你的工作是将每个小球放入盒子中,其中盒子的编号应当等于小球编号上每位数字的和。例如,编号 321 的小球应当放入编号 3 + 2 + 1 = 6 的盒子,而编号 10 的小球应当放入编号 1 + 0 = 1 的盒子。

给你两个整数 lowLimit 和 highLimit ,返回放有最多小球的盒子中的小球数量。如果有多个盒子都满足放有最多小球,只需返回其中任一盒子的小球数量。

解题思路 #

  • 简单题。循环遍历一遍数组,依次计算出所有小球的编号各位数字累加和,并且动态维护放有小球最多的数目。循环结束,输出最多小球个数即可。

代码 #

package leetcode

func countBalls(lowLimit int, highLimit int) int {
	buckets, maxBall := [46]int{}, 0
	for i := lowLimit; i <= highLimit; i++ {
		t := 0
		for j := i; j > 0; {
			t += j % 10
			j = j / 10
		}
		buckets[t]++
		if buckets[t] > maxBall {
			maxBall = buckets[t]
		}
	}
	return maxBall
}

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