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Md Ariful Haque @mah-shamim

Minimizing Travel Costs With Dynamic Programming

Dynamic programming solution in PHP to find min cost tickets: Iterate over days, compute min cost by considering 1-day, 7-day & 30-day passes. Time complexity: O(365).

983. Minimum Cost For Tickets
Difficulty: Medium
Topics: Array, Dynamic Programming
You have planned some train traveling one year in advance. The days of the year in which you will travel are given as an integer array days. Each day is an integer from 1 to 365.
Train tickets are sold in three different ways:

a 1-day pass is sold for costs[0] dollars,
a 7-day pass is sold for costs[1] dollars, and
a 30-day pass is sold for costs[2] dollars.

The passes allow that many days of consecutive travel.

For example, if we get a 7-day pass on day 2, then we can travel for 7 days: 2, 3, 4, 5, 6, 7, an...