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1
2017 T1: Floors and Square Roots
2017 T1: Floors and Square Roots
Source:
January 29, 2017
team
2017
Problem Statement
Find the integer
n
n
n
such that
n
+
⌊
n
⌋
+
⌊
n
⌋
=
2017.
n + \left\lfloor\sqrt{n}\right\rfloor + \left\lfloor\sqrt{\sqrt{n}}\right\rfloor = 2017.
n
+
⌊
n
⌋
+
⌊
n
⌋
=
2017.
Here, as usual,
⌊
⋅
⌋
\lfloor\cdot\rfloor
⌊
⋅
⌋
denotes the floor function.
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