Symbol(clack:cancel)

solutions/0000_0029/0015.gridpath/eular_15.py

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+"""
+Starting in the top left corner of a 2 X 2 grid,
+and only being able to move to the right and down,
+there are exactly 6 routes to the bottom right corner.
+
+How many such routes are there through a 20 X 20 grid?
+"""
+
+import math
+
+
+def grid_paths(m: int, n: int) -> int:
+    return math.comb(m + n, m)
+
+
+def main() -> None:
+    print(grid_paths(20, 20))
+
+
+if __name__ == "__main__":
+    main()