All K (1 ≤ K ≤ 1,000) of the cows are participating in Farmer John's annual reading contest. The competition consists of reading a single book with N (1 ≤ N ≤ 100,000) pages as fast as possible while understanding it.

Cow i has a reading speed S_i (1 ≤ S_i ≤ 100) pages per minute, a maximum consecutive reading time T_i (1 ≤ T_i ≤ 100) minutes, and a minimum rest time R_i (1 ≤ R_i ≤ 100) minutes. The cow can read at a rate of S_i pages per minute, but only for T_i minutes at a time. After she stops reading to rest, she must rest for R_i minutes before commencing reading again.

Determine the number of minutes (rounded up to the nearest full minute) that it will take for each cow to read the book.