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Mathematics
Mathematics
Problem
A point
P
(
x
,
y
)
P(x, y)
P
(
x
,
y
)
moves such that
[
x
+
y
+
1
]
=
[
x
]
[x + y + 1] = [x]
[
x
+
y
+
1
]
=
[
x
]
(where
[
⋅
]
[\,\cdot\,]
[
⋅
]
denotes the greatest integer function) and
x
∈
(
0
,
2
)
x \in (0, 2)
x
∈
(
0
,
2
)
, then the area represented by all the possible positions of
P
P
P
is a.
2
\sqrt{2}
2
b.
2
2
2\sqrt{2}
2
2
c.
4
2
4\sqrt{2}
4
2
d. 2
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