← Back

👑 Grid Kingdom

Count all paths from (0,0) to (n-1,m-1) • Move Right or Down only

Start
End
DP Filled
Current Path

📐 DP Formula

dp[i][j] = dp[i-1][j] + dp[i][j-1]
Paths from top + Paths from left
Cells Filled
0
Your Paths
0
Total Unique Paths
?

💡 Insight

Each cell's value = ways to reach it. First row and column are all 1s (only one way to reach them).

🎯 Math Formula

C(n+m-2, n-1) = ?

Combinatorics: choose (n-1) down moves from (n+m-2) total moves