Poison

62. Unique Paths

DP
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
class Solution {
public int uniquePaths(int m, int n) {
int[][] dp = new int[m][n];
dp[0][0] = 1;
for (int j = 1; j < n; j++) {
dp[0][j] = 1;
}
for (int i = 1; i < m; i++) {
dp[i][0] = 1;
}

for (int i = 1; i < m; i++) {
for (int j = 1; j < n; j++) {
dp[i][j] = dp[i][j - 1] + dp[i - 1][j];
}
}

return dp[m - 1][n - 1];
}
}
DP
1
2
3
4
5
6
7
8
9
10
11
12
13
14
class Solution {
public int uniquePaths(int m, int n) {
int[] dp = new int[n];
dp[0] = 1;

for (int i = 0; i < m; i++) {
for (int j = 1; j < n; j++) {
dp[j] += dp[j - 1];
}
}

return dp[n - 1];
}
}
Reference

62. Unique Paths