Problem Statement
There are n
people in a line queuing to buy tickets, where the 0th
person is at the front of the line and the (n - 1)th
person is at the back of the line.
You are given a 0-indexed integer array tickets
of length n
where the number of tickets that the ith
person would like to buy is tickets[i]
.
Each person takes exactly 1 second to buy a ticket. A person can only buy 1 ticket at a time and has to go back to the end of the line (which happens instantaneously) in order to buy more tickets. If a person does not have any tickets left to buy, the person will leave the line.
Return the time taken for the person at position k
(0-indexed) to finish buying tickets.
Example 1
Input: tickets = [2,3,2], k = 2
Output: 6
Explanation:
- In the first pass, everyone in the line buys a ticket and the line becomes [1, 2, 1].
- In the second pass, everyone in the line buys a ticket and the line becomes [0, 1, 0].
The person at position 2 has successfully bought 2 tickets and it took 3 + 3 = 6 seconds.
Example 2
Input: tickets = [5,1,1,1], k = 0
Output: 8
Explanation:
- In the first pass, everyone in the line buys a ticket and the line becomes [4, 0, 0, 0].
- In the next 4 passes, only the person in position 0 is buying tickets.
The person at position 0 has successfully bought 5 tickets and it took 4 + 1 + 1 + 1 + 1 = 8 seconds.
Try here before watching the video.
Video Solution
Java Code
class Solution {
public int timeRequiredToBuy(int[] tickets, int k) {
int time = 0;
for(int i = 0; i < tickets.length; i++) {
if(i <= k) {
time += Math.min(tickets[i], tickets[k]);
} else {
time += Math.min(tickets[i], tickets[k] - 1);
}
}
return time;
}
}
C++ Code
class Solution {
public:
int timeRequiredToBuy(vector<int>& tickets, int k) {
int time = 0;
for (int i = 0; i < tickets.size(); i++) {
if (i <= k) {
time += std::min(tickets[i], tickets[k]);
} else {
time += std::min(tickets[i], tickets[k] - 1);
}
}
return time;
}
};
Python Code
class Solution:
def timeRequiredToBuy(self, tickets: List[int], k: int) -> int:
time = 0
for i in range(len(tickets)):
if i <= k:
time += min(tickets[i], tickets[k])
else:
time += min(tickets[i], tickets[k] - 1)
return time
Javascript Code
/**
* @param {number[]} tickets
* @param {number} k
* @return {number}
*/
var timeRequiredToBuy = function(tickets, k) {
let time = 0;
for (let i = 0; i < tickets.length; i++) {
if (i <= k) {
time += Math.min(tickets[i], tickets[k]);
} else {
time += Math.min(tickets[i], tickets[k] - 1);
}
}
return time;
};
Go Code
func timeRequiredToBuy(tickets []int, k int) int {
time := 0
for i := 0; i < len(tickets); i++ {
if i <= k {
time += min(tickets[i], tickets[k])
} else {
time += min(tickets[i], tickets[k]-1)
}
}
return time
}
Time Complexity : O(n)
Space Complexity : O(1)