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2018 VTRMC
3
2018 VTRMC #3
2018 VTRMC #3
Source: VTRMC 2018
December 3, 2018
function
algebra
Problem Statement
Prove that there is no function
f
:
N
→
N
f:\mathbb{N}\rightarrow \mathbb{N}
f
:
N
→
N
such that
f
(
f
(
n
)
)
=
n
+
1.
f(f(n))=n+1.
f
(
f
(
n
))
=
n
+
1.
Here
N
\mathbb{N}
N
is the positive integers
{
1
,
2
,
3
,
…
}
.
\{1,2,3,\dots\}.
{
1
,
2
,
3
,
…
}
.
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