62. Unique Paths Medium

@problem@discussion
#Math#Dynamic Programming#Combinatorics



1/**
2 * [62] Unique Paths
3 *
4 * There is a robot on an m x n grid. The robot is initially located at the top-left corner (i.e., grid[0][0]). The robot tries to move to the bottom-right corner (i.e., grid[m - 1][n - 1]). The robot can only move either down or right at any point in time.
5 * Given the two integers m and n, return the number of possible unique paths that the robot can take to reach the bottom-right corner.
6 * The test cases are generated so that the answer will be less than or equal to 2 * 10^9.
7 *  
8 * Example 1:
9 * <img src="https://assets.leetcode.com/uploads/2018/10/22/robot_maze.png" style="width: 400px; height: 183px;" />
10 * Input: m = 3, n = 7
11 * Output: 28
12 * 
13 * Example 2:
14 * 
15 * Input: m = 3, n = 2
16 * Output: 3
17 * Explanation: From the top-left corner, there are a total of 3 ways to reach the bottom-right corner:
18 * 1. Right -> Down -> Down
19 * 2. Down -> Down -> Right
20 * 3. Down -> Right -> Down
21 * 
22 *  
23 * Constraints:
24 * 
25 * 	1 <= m, n <= 100
26 * 
27 */
28pub struct Solution {}
29
30// problem: https://leetcode.com/problems/unique-paths/
31// discuss: https://leetcode.com/problems/unique-paths/discuss/?currentPage=1&orderBy=most_votes&query=
32
33// submission codes start here
34
35impl Solution {
36    pub fn unique_paths(m: i32, n: i32) -> i32 {
37        0
38    }
39}
40
41// submission codes end
42
43#[cfg(test)]
44mod tests {
45    use super::*;
46
47    #[test]
48    fn test_62() {
49    }
50}
51


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