Given two integers , . Find the number of rectangles of size 2*1 can be placed inside a rectangle of size n*m.
- No two small rectangles overlap.
- Each small rectangle lies entirely inside the large rectangle. It is allowed to touch the edges of the large rectangle.
Input : n = 3, m =3 Output : 4 Input : n = 2, m = 4 Output : 4
- If N is even, then place M rows of N/2 small rectangles and cover the whole large rectangle.
- If M is even, then place N rows of M/2 small rectangles and cover the whole large rectangle.
- If both are odd then cover N – 1 row of the board with small rectangles and put floor(M/2) small rectangles to the last row. In the worst case (N and M are odd) one cell remains uncovered.
Below is the implementation of the above approach:
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