solve(codeforces): Theatre Square

Author: Jose05Code

CodeForces/Theatre Square.py

@@ -0,0 +1,41 @@
+"""
+CodeForces Problem A. - Theatre Square
+Link: https://codeforces.com/problemset/problem/1/A
+ 
+Problem: A theatre square is a rectangular area that needs to be paved with square flagstones.
+The dimensions of the square are n x m, and the side length of each flagstone is a.
+The goal is to determine the minimum number of flagstones required to cover the entire area.
+ 
+Constraints: 1 ≤ n, m, a ≤ 10^9
+"""
+ 
+def required_flagstones(length: int, width: int, square: int) -> int:
+    """
+    This function calculates the minimum number of flagstones required to cover a rectangular area.
+ 
+    Args:
+        length (int): Length of the theatre square
+        width (int): Width of the theatre square
+        square (int): Side length of each flagstone
+
+    Returns:
+        int: Minimum number of flagstones required
+ 
+    Logic:
+        - Calculate the number of flagstones needed along the length (n) and width (m) of the square.
+        - Since flagstones cannot be cut, if there is any remainder when dividing n or m by a, we need to round up to the next whole number.
+        - Multiply the number of flagstones needed along the length by the number needed along the width to get the total number of flagstones required.
+    """
+    flagstones_per_row = -(-length // square) # Equivalent to math.ceil(length / square)
+    flagstones_per_column = -(-width // square)
+ 
+    return flagstones_per_column * flagstones_per_row
+ 
+def main() -> None:
+    """Main function to handle input/output."""
+    n, m, a = map(int, input().split())
+    flagstones = required_flagstones(n, m, a)
+    print(flagstones)
+ 
+if __name__ == "__main__":
+    main()