LogiQuest

276. Boats to Save People

MediumTwo PointersGreedy

Each boat carries at most two people with total weight ≤ limit. Print the minimum number of boats.

Input format

Line 1: n limit Line 2: n weights (each ≤ limit)

Output format

The minimum boats.

Example 1

Input

2 3
1 2

Output

1

Example 2

Input

4 3
3 2 2 1

Output

3

Constraints

1 ≤ n ≤ 10⁵

Read input from standard input and print the answer to standard output. Your code is judged against 5 test cases, most of them hidden.

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