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National and Regional Contests
India Contests
India IOQM
2024-25 IOQM India
9
IOQM P9 2024
IOQM P9 2024
Source:
September 8, 2024
Problem Statement
Consider the grid of points
X
=
{
(
m
,
n
)
∣
0
≤
m
,
n
≤
4
}
X = \{(m,n) | 0 \leq m,n \leq 4 \}
X
=
{(
m
,
n
)
∣0
≤
m
,
n
≤
4
}
. We say a pair of points
{
(
a
,
b
)
,
(
c
,
d
)
}
\{(a,b),(c,d)\}
{(
a
,
b
)
,
(
c
,
d
)}
in
X
X
X
is a knight-move pair if
(
c
=
a
±
2
( c = a \pm 2
(
c
=
a
±
2
and
d
=
b
±
1
)
d = b \pm 1)
d
=
b
±
1
)
or
(
c
=
a
±
1
( c = a \pm 1
(
c
=
a
±
1
and
d
=
b
±
2
)
d = b \pm 2)
d
=
b
±
2
)
. The number of knight-move pairs in
X
X
X
is:
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