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33
2013 HMMT Guts #33: Sums of Powers
2013 HMMT Guts #33: Sums of Powers
Source:
March 26, 2013
HMMT
Problem Statement
Compute the value of
1
25
+
2
24
+
3
23
+
…
+
2
4
2
+
2
5
1
1^{25}+2^{24}+3^{23}+\ldots+24^2+25^1
1
25
+
2
24
+
3
23
+
…
+
2
4
2
+
2
5
1
. If your answer is
A
A
A
and the correct answer is
C
C
C
, then your score on this problem will be
⌊
25
min
(
(
A
C
)
2
,
(
C
A
)
2
)
⌋
\left\lfloor25\min\left(\left(\frac AC\right)^2,\left(\frac CA\right)^2\right)\right\rfloor
⌊
25
min
(
(
C
A
)
2
,
(
A
C
)
2
)
⌋
.
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