983. Minimum Cost For Tickets

Medium

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95

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`

, and`8`

.

Return *the minimum number of dollars you need to travel every day in the given list of days*.

**Example 1:**

Input:days = [1,4,6,7,8,20], costs = [2,7,15]Output:11Explanation:For example, here is one way to buy passes that lets you travel your travel plan: On day 1, you bought a 1-day pass for costs[0] = $2, which covered day 1. On day 3, you bought a 7-day pass for costs[1] = $7, which covered days 3, 4, ..., 9. On day 20, you bought a 1-day pass for costs[0] = $2, which covered day 20. In total, you spent $11 and covered all the days of your travel.

**Example 2:**

Input:days = [1,2,3,4,5,6,7,8,9,10,30,31], costs = [2,7,15]Output:17Explanation:For example, here is one way to buy passes that lets you travel your travel plan: On day 1, you bought a 30-day pass for costs[2] = $15 which covered days 1, 2, ..., 30. On day 31, you bought a 1-day pass for costs[0] = $2 which covered day 31. In total, you spent $17 and covered all the days of your travel.

**Constraints:**

`1 <= days.length <= 365`

`1 <= days[i] <= 365`

`days`

is in strictly increasing order.`costs.length == 3`

`1 <= costs[i] <= 1000`

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