2023-03-28 Daily Challenge
Today I have done leetcode's March LeetCoding Challenge with cpp
.
March LeetCoding Challenge 28
Description
Minimum Cost For Tickets
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 for7
days:2
,3
,4
,5
,6
,7
, and8
.
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: 11 Explanation: 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: 17 Explanation: 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
Solution
class Solution {
public:
int mincostTickets(vector<int>& days, vector<int>& costs) {
int dp[366] = {};
int pos = 0;
int ranges[3] = {1, 7, 30};
for(int i = 1; i < 366; ++i) {
if(pos >= days.size() || days[pos] > i) {
dp[i] = dp[i - 1];
continue;
}
pos += 1;
dp[i] = INT_MAX;
for(int t = 0; t < 3; ++t) {
if(i >= ranges[t]) {
dp[i] = min(dp[i], dp[i - ranges[t]] + costs[t]);
} else {
dp[i] = min(dp[i], costs[t]);
}
}
}
return dp[365];
}
};
// Accepted
// 69/69 cases passed (4 ms)
// Your runtime beats 69.83 % of cpp submissions
// Your memory usage beats 91.47 % of cpp submissions (9.4 MB)