Problem4514-- [Usaco2005 mar] Space Elevator

4514: [Usaco2005 mar] Space Elevator

Time Limit: 1 Sec  Memory Limit: 512 MB
Submit: 32  Solved: 8
[Status] [Submit] [Creator:]

Description

The cows are going to space! 
They plan to achieve orbit by building a sort of space elevator: a giant tower of blocks. 
They have K (1 <= K <= 400) different types of blocks with which to build the tower. Each block of type i has height h_i (1 <= h_i <= 100) and is available in quantity c_i (1 <= c_i <= 10). 
Due to possible damage caused by cosmic rays, no part of a block of type i can exceed a maximum altitude a_i (1 <= a_i <= 40000). 
Help the cows build the tallest space elevator possible by stacking blocks on top of each other according to the rules.

Input

Line 1: A single integer, K
Lines 2..K+1: Each line contains three space-separated integers: h_i, a_i, and c_i. Line i+1 describes block type i.

Output

Line 1: A single integer H, the maximum height of a tower that can be built

Sample Input Copy

3
7 40 3
5 23 8
2 52 6

Sample Output Copy

48

Source/Category