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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- Number of GP (Geometric Progression) subsequences of size 3
- Find the minimum sum of distance to A and B from any integer point in a ring of size N
- Check whether a given point lies inside a rectangle or not
- Check if a point lies on or inside a rectangle | Set-2
- Check whether a given point lies on or inside the rectangle | Set 3
- Find the minimum number of rectangles left after inserting one into another
- Number of arrays of size N whose elements are positive integers and sum is K
- Find all rectangles filled with 0
- Find if two rectangles overlap
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