2279. Maximum Bags With Full Capacity of Rocks
You have n
bags numbered from 0
to n - 1
. You are given two 0-indexed integer arrays capacity
and rocks
. The ith
bag can hold a maximum of capacity[i]
rocks and currently contains rocks[i]
rocks. You are also given an integer additionalRocks
, the number of additional rocks you can place in any of the bags.
Return the maximum number of bags that could have full capacity after placing the additional rocks in some bags.
Example 1:
Input: capacity = [2,3,4,5], rocks = [1,2,4,4], additionalRocks = 2 Output: 3 Explanation: Place 1 rock in bag 0 and 1 rock in bag 1. The number of rocks in each bag are now [2,3,4,4]. Bags 0, 1, and 2 have full capacity. There are 3 bags at full capacity, so we return 3. It can be shown that it is not possible to have more than 3 bags at full capacity. Note that there may be other ways of placing the rocks that result in an answer of 3.
Example 2:
Input: capacity = [10,2,2], rocks = [2,2,0], additionalRocks = 100 Output: 3 Explanation: Place 8 rocks in bag 0 and 2 rocks in bag 2. The number of rocks in each bag are now [10,2,2]. Bags 0, 1, and 2 have full capacity. There are 3 bags at full capacity, so we return 3. It can be shown that it is not possible to have more than 3 bags at full capacity. Note that we did not use all of the additional rocks.
Constraints:
n == capacity.length == rocks.length
1 <= n <= 5 * 104
1 <= capacity[i] <= 109
0 <= rocks[i] <= capacity[i]
1 <= additionalRocks <= 109
solution :
"Maximum Bags With Full Capacity of Rocks" is a problem that uses the concept of hasmap or map. if we talk about solution of this problem , we will solve it using map<int , int> type in c++ .
Here is the step by step explanation :
- find difference between capacity and rocks . later we require it to find how many additional rocks we require to fill the capacity.
- we create a map which is something like this :
- map[0] = 2 , map[1] = 2; it means number of bags which require 1 additional rock to come to full capacity is 1.
- we chose map here because when we iterate map , it will the pairs in increasing order according to first element of pairs.
class Solution {
public:
int maximumBags(vector<int>& capacity, vector<int>& rocks, int additionalRocks) {
int size = capacity.size();
map<int, int >m;
for(int i =0; i < size ; i++ )
{
int diff = capacity[i] - rocks[i];
m[diff]++;
}
int result = 0;
for(auto i = m.begin() ; i != m.end() ; i++)
{
int first = (*i).first;
int second = (*i).second;
if(additionalRocks < first)
{
break;
}
if(first == 0 )
{
result += second;
}
else
{
while(second--)
{
if(additionalRocks >= first)
{
result += 1;
additionalRocks -= first;
}
else
{
break;
}
}
}
}
return result;
}
};
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