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2021 LMT Spring
B6
B6
Part of
2021 LMT Spring
Problems
(1)
2021 Spring LMT Division B Problem 6
Source:
1/22/2022
Maisy is at the origin of the coordinate plane. On her first step, she moves
1
1
1
unit up. On her second step, she moves
1
1
1
unit to the right. On her third step, she moves
2
2
2
units up. On her fourth step, she moves
2
2
2
units to the right. She repeats this pattern with each odd-numbered step being
1
1
1
unit more than the previous step. Given that the point that Maisy lands on after her
21
21
21
st step can be written in the form
(
x
,
y
)
(x, y)
(
x
,
y
)
, find the value of
x
+
y
x + y
x
+
y
.Proposed by Audrey Chun
combinatorics