You are given an array `people`

where `people[i]`

is the weight of the `i`

person, and an ^{th}**infinite number of boats** where each boat can carry a maximum weight of `limit`

. Each boat carries at most two people at the same time, provided the sum of the weight of those people is at most `limit`

.

Return *the minimum number of boats to carry every given person*.

**Example 1:**

Input:people = [1,2], limit = 3Output:1Explanation:1 boat (1, 2)

**Example 2:**

Input:people = [3,2,2,1], limit = 3Output:3Explanation:3 boats (1, 2), (2) and (3)

**Example 3:**

Input:people = [3,5,3,4], limit = 5Output:4Explanation:4 boats (3), (3), (4), (5)

**Constraints:**

`1 <= people.length <= 5 * 10`

^{4}`1 <= people[i] <= limit <= 3 * 10`

^{4}

` ````
```class Solution {
public int numRescueBoats(int[] people, int limit) {
Arrays.sort(people);
int start = 0 ;
int end = people.length-1;
int count = 0 ;
while(start<=end){
if(people[start]+people[end]<=limit){
start++;
end--;
}else{
end--;
}
count++;
}
return count;
}
}

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