title: 983. Minimum Cost For Tickets
tags:
- dp
categories: leetcode
comments: false
class Solution {
public:
int mincostTickets(vector<int>& days, vector<int>& costs) {
// 1 4 6 7 8 20
//1 2 4 6 8 10 12
//7 2 4 6 7 9 11
//30 2 4 6 7 9 11
int n = days.size(), m = costs.size();
vector<int> dp(n+1,0);
// init
dp[0] = 0;
for(int i=1;i<n+1;++i){
// 確定第 i 天花最少錢
// one day
dp[i] = dp[i-1] + costs[0];
for(int j=1;j<=i;++j){
if( days[i-1] - days[j-1] < 7) dp[i] = min(dp[i], dp[j-1] + costs[1]);
if( days[i-1] - days[j-1] < 30) dp[i] = min(dp[i], dp[j-1] + costs[2]);
}
}
return dp.back();
}
};
- time complexity
O(nm)
- space complexity
O(n)