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PEN I Problems
15
I 15
I 15
Source:
May 25, 2007
function
floor function
Problem Statement
Find the total number of different integer values the function
f
(
x
)
=
⌊
x
⌋
+
⌊
2
x
⌋
+
⌊
5
x
3
⌋
+
⌊
3
x
⌋
+
⌊
4
x
⌋
f(x) = \lfloor x\rfloor+\lfloor 2x\rfloor+\left\lfloor \frac{5x}{3}\right\rfloor+\lfloor 3x\rfloor+\lfloor 4x\rfloor
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
.
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