27006번 - Space Elevator 다국어

문제

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.

입력

• 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.

출력

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

제한

힌트

From the bottom: 3 blocks of type 2, below 3 of type 1, below 6 of type 3. Stacking 4 blocks of type 2 and 3 of type 1 is not legal, since the top of the last type 1 block would exceed height 40.