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How Many Fibs?

›ฌธ๊ธฐ
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ธ๊ธฐ„:B(A,B,C), „ฑ๊ณตฅ :†ต(‚ฎŒ,†ต,†’Œ),  ˆฒจ:1(1~4)

About HowManyFibs?

”ผ‚˜น˜ ˆ˜Š” ‹คŒ๊ณผ ๊ฐ™€ ‹œผกœ  •˜œ‹ค.
{{|
f<sub>1</sub>:=1
f<sub>2</sub>:=2
f<sub>n</sub>:=f<sub>n-1</sub> + f<sub>n-2
|}}
a™€ bผŠ” ‘ ˆ˜๊ฐ€ ฃผ–กŒ„ •Œ
~cpp
[a,b]
๊ตฌ๊ฐ„— žˆŠ” ”ผ‚˜น˜ ˆ˜˜ ๊ฐœˆ˜ฅผ ๊ณ„‚ฐ•˜ผ.

Input

ž… ฅ—Š” —ฌŸฌ ๊ฐœ˜ …ŒŠคŠธ €Šค๊ฐ€ “ค–žˆ‹ค. ๊ฐ …ŒŠคŠธ €ŠคŠ” ‘ ๊ฐœ˜ Œ •„‹Œ  •ˆ˜ a™€ bกœ ๊ตฌ„ฑœ‹ค. a=b=0 ž… ฅ ข…ฃŒœ‹ค. ๊ทธ ‡€ •Š€ ๊ฒฝšฐ—Š” aโ‰คbโ‰ค10<sup>100</sup>‹ค. a™€ b๊ฐ€ ž… ฅ  •Œ •ž€ถ„— ถˆ•„š”•œ 0€  „˜€ ™€ •ŠŠ”‹ค.

Output

๊ฐ …ŒŠคŠธ €Šคงˆ‹ค a โ‰ค f<sub>i</sub> โ‰คbธ ”ผ‚˜น˜ ˆ˜ f<sub>i</sub>˜ ๊ฐœˆ˜ฅผ •œ ค„— •˜‚˜”ฉ ถœ ฅ•œ‹ค.

Sample Input

~cpp 
10 100
1234567890 9876543210
0 0

Sample Output

~cpp 
5
4

’€

ž‘„ฑž ‚ฌšฉ–ธ– ๊ฐœฐœ‹œ๊ฐ„ ฝ”“œ
™žฌ„  Java 1h HowManyFibs?/™žฌ„ 
ฌธฐฝ C++ 2h HowManyFibs?/ฌธฐฝ
1002 Python 1ฐจ: 3‹œ๊ฐ„(‹คŒจ), 2ฐจ: 10ถ„ HowManyFibs?/1002
•˜๊ธฐ›… C++ 2h HowManyFibs?/•˜๊ธฐ›…

“ฐ ˆ“œ

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