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Immediate Decodability


About ImmediateDecodability

๊ธฐ˜ธ˜ ฝ”๋“œ๊ฐ€ ๋‹ค๋ฅธ ๊ธฐ˜ธ˜ •ž๋ถ€๋ถ„— กดžฌ•˜ง€ •Šœผ๋ฉด, ๊ธฐ˜ธ˜ ง‘•ฉ„ •”˜ธ™”•˜๋Š” ๊ฒƒ€ ง ‘ •ด๋… ๊ฐ€๋Šฅ•˜๋‹ค. ๋ชจ๋“  ฝ”๋“œ๋Š” ด„ ฝ”๋“œด๊ณ , •œ ฝ”๋“œ ง‘•ฉ—„œ๋Š” ๋™ผ•œ ฝ”๋“œ๊ฐ€ กดžฌ•˜ง€ •Šœผ๋ฉฐ, ๊ฐ ฝ”๋“œ๋Š”  –ด๋„ 1๊ฐœ ดƒ˜ ๋น„Šธ™€ 10๊ฐœ ด•˜˜ ฝ”๋“œ๋ฅผ ๊ฐ–๋Š”๋‹ค. ๊ฐ ง‘•ฉ€  –ด๋„ 2๊ฐœ ดƒ, 8๊ฐœ ด•˜˜ ฝ”๋“œ๋ฅผ ๊ฐ–๋Š”๋‹ค.

๊ธฐ˜ธ {A,B,C,D}๋ฅผ ๊ฐ–๋Š” •ŒŒŒ๋ฒณด žˆ๋‹ค๊ณ  ๊ฐ€ ••˜ž.

๋‹คŒ ฝ”๋“œ๋Š” ง ‘ •ด๋… ๊ฐ€๋Šฅ„ด กดžฌ•œ๋‹ค.
A:01 B:10 C:0010 D:0000
๊ทธ๋Ÿฌ๋‚˜ ๋‹คŒ ฝ”๋“œ๋Š” ๊ทธ๋ ‡ง€ •Š๋‹ค.
A:01 B:10 C:010 D:0000 (A๊ฐ€ C˜ •ž๋ถ€๋ถ„— กดžฌ•œ๋‹ค)

Input

ŒŒผ—„œ —ฐ†๋œ ๋ฐด„ฐ๋ฅผ ๊ทธ๋ฃน ˜•ƒœ๋กœ ž…๋ ฅ„ ๋ฐ›•„๋“คธ๋‹ค. ๊ทธ๋ฃน˜ ๊ฐ ๋ฐด„ฐ๋Š” ๊ธฐ˜ธšฉ ด„ ฝ”๋“œ๋ฅผ ๋‚˜ƒ€๋‚ด๋Š” 0๊ณผ 1˜ ง‘•ฉœผ๋กœ ๊ตฌ„๋œ๋‹ค. ๊ฐ ๊ทธ๋ฃน€ ๋‹จผ ˆž 9๋กœ ๊ตฌ๋ถ„๋œ๋‹ค. ๊ตฌ๋ถ„ ˆžธ 9๋Š” ๊ทธ๋ฃน— †•˜ง€ •Š๋Š”๋‹ค.

๊ฐ ๊ทธ๋ฃน€ ๋‹ค๋ฅธ ๊ทธ๋ฃน๊ณผ ๋”ฐ๋กœ ฒ˜๋ฆฌ•ด•ผ •œ๋‹ค. •œ ๊ทธ๋ฃน˜ ฝ”๋“œ๊ฐ€ ๋‹ค๋ฅธ ๊ทธ๋ฃน˜ ฝ”๋“œ™€๋Š” —ฐ๊ด€•ด„œ ฒ˜๋ฆฌ•˜ง€ •Š๋Š”๋‹ค. ฆ‰, ๊ฐ ๊ทธ๋ฃน€ ๋”ฐ๋กœ๋”ฐ๋กœ ฒ˜๋ฆฌ•ด•ผ •œ๋‹ค.

Output

๊ฐ ๊ทธ๋ฃน—„œ ”„๋กœ๊ทธ๋žจ€ ๊ทธ๋ฃน˜ ฝ”๋“œ๋“คด ง ‘ •ด๋… ๊ฐ€๋Šฅ„ด žˆ๋Š”ง€๋ฅผ ๊ฒฐ ••˜๊ณ , ฃผ–ด„ ๊ทธ๋ฃน ๋ฒˆ˜ธ™€ ๊ทธ๋ฃน˜ ง ‘ •ด๋… ๊ฐ€๋Šฅ„ —ฌ๋ถ€๋ฅผ •œ „”ฉ ถœ๋ ฅ•œ๋‹ค.

ž…๋ ฅ ˜ˆ œ๋Š” œ„˜ ˜ˆ๋กœ „ค๋ช…๋˜—ˆ๋‹ค.

Sample Input

~cpp 
01
10
0010
0000
9
01
10
010
0000
9

Sample Output

~cpp 
Set 1 is immediately decodable
Set 2 is not immediately decodable

’€ด

ž‘„ž ‚ฌšฉ–ธ–ด ๊ฐœ๋ฐœ‹œ๊ฐ„ ฝ”๋“œ
๋ฌธ๋ณดฐฝ C++ ? ImmediateDecodability/๋ฌธ๋ณดฐฝ
๊น€šŒ˜ C++ ? ImmediateDecodability/๊น€šŒ˜

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