New Problem Solution -"Maximum Number of Balls in a Box"

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Hao Chen 2021-03-27 15:15:13 +08:00
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@ -49,6 +49,7 @@ LeetCode
|1750|[Minimum Length of String After Deleting Similar Ends](https://leetcode.com/problems/minimum-length-of-string-after-deleting-similar-ends/) | [C++](./algorithms/cpp/minimumLengthOfStringAfterDeletingSimilarEnds/MinimumLengthOfStringAfterDeletingSimilarEnds.cpp)|Medium|
|1749|[Maximum Absolute Sum of Any Subarray](https://leetcode.com/problems/maximum-absolute-sum-of-any-subarray/) | [C++](./algorithms/cpp/maximumAbsoluteSumOfAnySubarray/MaximumAbsoluteSumOfAnySubarray.cpp)|Medium|
|1748|[Sum of Unique Elements](https://leetcode.com/problems/sum-of-unique-elements/) | [C++](./algorithms/cpp/sumOfUniqueElements/SumOfUniqueElements.cpp)|Easy|
|1742|[Maximum Number of Balls in a Box](https://leetcode.com/problems/maximum-number-of-balls-in-a-box/) | [C++](./algorithms/cpp/maximumNumberOfBallsInABox/MaximumNumberOfBallsInABox.cpp)|Easy|
|1736|[Latest Time by Replacing Hidden Digits](https://leetcode.com/problems/latest-time-by-replacing-hidden-digits/) | [C++](./algorithms/cpp/latestTimeByReplacingHiddenDigits/LatestTimeByReplacingHiddenDigits.cpp)|Easy|
|1734|[Decode XORed Permutation](https://leetcode.com/problems/decode-xored-permutation/) | [C++](./algorithms/cpp/decodeXORedPermutation/DecodeXoredPermutation.cpp)|Medium|
|1733|[Minimum Number of People to Teach](https://leetcode.com/problems/minimum-number-of-people-to-teach/) | [C++](./algorithms/cpp/minimumNumberOfPeopleToTeach/MinimumNumberOfPeopleToTeach.cpp)|Medium|

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// Source : https://leetcode.com/problems/maximum-number-of-balls-in-a-box/
// Author : Hao Chen
// Date : 2021-03-27
/*****************************************************************************************************
*
* 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
******************************************************************************************************/
class Solution {
private:
int sum(int n) {
int s = 0;
for(; n > 0; n /= 10){
s += n % 10;
}
return s;
}
public:
int countBalls(int lowLimit, int highLimit) {
int cnt[46] ={0}; //10^5 means 9+9+9+9+9 = 45
int m = 0;
for (int n = lowLimit; n<=highLimit; n++) {
int box = sum(n);
cnt[box]++;
m = max(m, cnt[box]);
}
return m;
}
};