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You are given N building blocks each of which has a height H. weight W. You want to build a tower by stacking up blocks to reach a height of atleast K.

 

You should consider the strength for each block which indicates the maximum amount of total weight of the blocks that can be stacked above a while building the tower.

 

Given these constraints: you are required to find whether it is possible to construct a tower with a height of at least K. if it is possible to build the tower with a height of at least then find the maximum safety factor of the tower.

 

Note:

 

• You should return-1 if it is impossible to build a tower that satisfies the given constraints.
• The maximum safety factor of the tower is the amount of weight you can add to the top of the tower without exceeding any block's strength.

 

Input Format:
The first line of input contains a single integer N denoting the number of building blocks.
The next line of input contains a single integer K denoting the required height of the tower.
Each line i of the N subsequent lines (where 0 <=i<N) contains an integer describing Hi that denotes the height of block i.

 

Sample Input Sample Output Explanation
3
5
3
3
2
10
5
3
6
4
15
5 Place block 1 upon block 3.Max safety:5
4
10
9
3
5
4
8
3
5
4
1
5
-1 It is not possible to arrange them
4
10
9
3
5
4
4
3
5
4
1
5
10
5
2 Block 3 in the lowermost layer block in the 2nd lower layer block 2 in the top layer .Max safety =2

 

 

by Expert (44,360 points)