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2160 - Minimum Sum of Four Digit Number After Splitting Digits (Easy)

https://leetcode.com/problems/minimum-sum-of-four-digit-number-after-splitting-digits/

Problem Statement

You are given a positive integer num consisting of exactly four digits. Split num into two new integers new1 and new2 by using the digits found in num. Leading zeros are allowed in new1 and new2, and all the digits found in num must be used.

For example, given num = 2932, you have the following digits: two 2's, one 9 and one 3. Some of the possible pairs [new1, new2] are [22, 93], [23, 92], [223, 9] and [2, 329].

Return the minimum possible sum of new1 and new2.

Example 1:

Input: num = 2932
Output: 52
Explanation: Some possible pairs [new1, new2] are [29, 23], [223, 9], etc.
The minimum sum can be obtained by the pair [29, 23]: 29 + 23 = 52.

Example 2:

Input: num = 4009
Output: 13
Explanation: Some possible pairs [new1, new2] are [0, 49], [490, 0], etc.
The minimum sum can be obtained by the pair [4, 9]: 4 + 9 = 13.

Constraints:

  • 1000 <= num <= 9999

Approach 1: Sorting & Greedy

We can sort those 4 digits in an increasing order. Let's say abcdabcd where a<=b<=c<=da <= b <= c <= d. We put those two smallest digits to be decimal's place, and those two largest ones in one's place. The answer is simply ac+bdac + bd.

Written by @wingkwong
class Solution {
public:
int minimumSum(int num) {
string s = to_string(num);
vector<int> d;
while (num > 0) {
d.push_back(num % 10);
num /= 10;
}
sort(d.begin(), d.end());
return d[0] * 10 + d[3] + d[1] * 10 + d[2];
}
};