A rectangular grid whose side lengths are integers greater than $1$ is given. Smaller rectangles with area equal to an odd integer and length of each side equal to an integer greater than $1$ are cut out one by one. Finally one single unit is left. Find the least possible area of the initial grid before the cuttings.
Ps. Collected here
answer 121，poor english
1，1×1can not be on borders and corners
2，1×1 is adjacent to the square at the corner of the rectangle
3，0 is 1×1，and XXX is the the corner of the rectangle
they must be following location，in horizontal direction，and length of side of A is 5 at least，else area C can not be divided into several rectangles with odd integer and length of each side.
C X
XB
XXXOXXX
AX
X
4, each side of the initial grid before the cuttings should be 5+1+5 = 11 at least
5, possible area is 11×11 = 121
6，
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