MathDB
Problems
Contests
International Contests
APMO
1993 APMO
2
2
Part of
1993 APMO
Problems
(1)
[x]
Source: APMO 1993
3/11/2006
Find the total number of different integer values the function
f
(
x
)
=
[
x
]
+
[
2
x
]
+
[
5
x
3
]
+
[
3
x
]
+
[
4
x
]
f(x) = [x] + [2x] + [\frac{5x}{3}] + [3x] + [4x]
f
(
x
)
=
[
x
]
+
[
2
x
]
+
[
3
5
x
]
+
[
3
x
]
+
[
4
x
]
takes for real numbers
x
x
x
with
0
≤
x
≤
100
0 \leq x \leq 100
0
≤
x
≤
100
.
function
number theory unsolved
number theory