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Volumes > C. T. 2011 > problem:


Buying hay

Volume problems

• Going to the Movies
• Word power
• Word Statistics
• Brackets
• Profits
• Triangle
• Istanbul
• Butterfly
• Buying hay
• Fleas
• Babel tower
• Pizza delivery
• Railway turnout
• Door lock
• Maze
• Skiers
• Matrix

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Time limit 1000/1000/4000/4000 ms. Memory limit 65000/65000/65000/65000 Kb.

Problem description

Farmer John is running out of supplies and needs to purchase H (1<= H <= 50,000) pounds of hay for his cows.

He knows N (1 <= N <= 100) hay suppliers conveniently numbered 1..N. Supplier i sells packages that contain P_i (1 <= P_i <= 5,000) pounds of hay at a cost of C_i (1 <= C_i <= 5,000) dollars. Each supplier has an unlimited number of packages available, and the packages must be bought whole.

Help FJ by finding the minimum cost necessary to purchase at least H pounds of hay.

Input

* Line 1: Two space-separated integers: N and H

* Lines 2..N+1: Line i+1 contains two space-separated integers: P_i and C_i

Output

* Line 1: A single integer representing the minimum cost FJ needs to pay to obtain at least H pounds of hay.

Example

stdin stdout

2 15
3 2
5 3

9

FJ can buy three packages from the second supplier for a total cost of 9.

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