MathDB
Problems
Contests
National and Regional Contests
PEN Problems
PEN H Problems
55
55
Part of
PEN H Problems
Problems
(1)
H 55
Source:
5/25/2007
Given that
34
!
=
95232799
c
d
96041408476186096435
a
b
00000
0
(
10
)
,
34! = 95232799cd96041408476186096435ab000000_{(10)},
34
!
=
95232799
c
d
96041408476186096435
ab
00000
0
(
10
)
,
determine the digits
a
,
b
,
c
a, b, c
a
,
b
,
c
, and
d
d
d
.
floor function
Diophantine Equations