LeetCode 1359: Count All Valid Pickup and Delivery Options Solution
Master LeetCode problem 1359 (Count All Valid Pickup and Delivery Options), a hard challenge, with our optimized solutions in Java, C++, and Python. Explore detailed explanations, test your code in our interactive editor, and prepare for coding interviews.
1359. Count All Valid Pickup and Delivery Options
Problem Explanation
Explanation
To count all valid pickup and delivery options, we can use a combinatorial approach. For each pair of pickup and delivery, there are two possible positions: pickup before delivery or delivery before pickup. Therefore, for n orders, there are 2n possible positions to arrange the pickups and deliveries. The total number of valid sequences will be the number of ways to select n positions out of 2n. This can be calculated using the formula for combinations: C(2n, n) = (2n)! / (n! * n!).
Solution Code
class Solution {
public int countOrders(int n) {
long ans = 1;
for (int i = 1; i <= n; i++) {
ans = (ans * (2 * i - 1) * i) % 1000000007;
}
return (int) ans;
}
}Try It Yourself
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