2025-03-31 Daily Challenge
Today I have done leetcode's March LeetCoding Challenge with cpp.
March LeetCoding Challenge 31
Description
Put Marbles in Bags
You have k bags. You are given a 0-indexed integer array weights where weights[i] is the weight of the ith marble. You are also given the integer k.
Divide the marbles into the k bags according to the following rules:
- No bag is empty.
- If the
ithmarble andjthmarble are in a bag, then all marbles with an index between theithandjthindices should also be in that same bag. - If a bag consists of all the marbles with an index from
itojinclusively, then the cost of the bag isweights[i] + weights[j].
The score after distributing the marbles is the sum of the costs of all the k bags.
Return the difference between the maximum and minimum scores among marble distributions.
Example 1:
Input: weights = [1,3,5,1], k = 2 Output: 4 Explanation: The distribution [1],[3,5,1] results in the minimal score of (1+1) + (3+1) = 6. The distribution [1,3],[5,1], results in the maximal score of (1+3) + (5+1) = 10. Thus, we return their difference 10 - 6 = 4.
Example 2:
Input: weights = [1, 3], k = 2 Output: 0 Explanation: The only distribution possible is [1],[3]. Since both the maximal and minimal score are the same, we return 0.
Constraints:
1 <= k <= weights.length <= 1051 <= weights[i] <= 109
Solution
class Solution {
public:
long long putMarbles(vector<int>& weights, int k) {
int len = weights.size();
vector<int> sum(len - 1);
sum.reserve(len - 1);
for(int i = 1; i < len; ++i) {
sum[i - 1] = weights[i] + weights[i - 1];
}
sort(sum.begin(), sum.end());
long long answer = 0;
auto it = sum.begin();
auto rit = sum.rbegin();
for(;--k; ++it, ++rit) {
answer += *rit - *it;
}
return answer;
}
};
// Accepted
// 103/103 cases passed (33 ms)
// Your runtime beats 76.79 % of cpp submissions
// Your memory usage beats 82.7 % of cpp submissions (64.3 MB)