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Marbles

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

About Marbles

‚˜Š” œ ฆฌ ๊ตฌŠฌ„ œผŠ”ฐ, ๊ทธ ๊ตฌŠฌ“ค„ ‹•„†“„ ƒžฅผ ‚ฌ ค๊ณ  •œ‹ค. ƒžŠ” ‘ ๊ฐ€€ œ ˜•œผกœ ‚˜ˆŒ ˆ˜ žˆ‹ค.

ƒ€ž… 1: •˜‚˜— c1 ‹ฌŸฌฉฐ  •™••˜๊ฒŒ n1๊ฐœ˜ ๊ตฌŠฌ„ ‹„ ˆ˜ žˆ‹ค.
ƒ€ž… 2: •˜‚˜— c2 ‹ฌŸฌฉฐ  •™••˜๊ฒŒ n2๊ฐœ˜ ๊ตฌŠฌ„ ‹„ ˆ˜ žˆ‹ค.

๊ฐ ƒž—Š”  •™••˜๊ฒŒ ฃผ–ง„ šฉŸ‰งŒผ˜ ๊ตฌŠฌ„ ง‘–„ฃ„ ๊ฒƒฉฐ, น„šฉ€ ตœ†Œ•œœผกœ ค„˜€œผ •œ‹ค. —ฌŸฌ ƒž— ๊ตฌŠฌ„ ‚˜ˆ  ‹Š” ๊ฐ€žฅ ข‹€ ฐฉ•„ ฐพ•„ž.

Input

ž… ฅ ŒŒผ—Š” …ŒŠคŠธ €Šค๊ฐ€ —ฌŸฌ ๊ฐœ “ค–๊ฐˆ ˆ˜ žˆ‹ค. ๊ฐ …ŒŠคŠธ €ŠคŠ”  •ˆ˜ n(1 ƒ 2,000,000,000 •˜) “ค–žˆŠ” ค„กœ ‹œž‘•œ‹ค. ๊ทธ ‹คŒ ค„—Š” c1๊ณผ n1, ๊ทธ ‹คŒ ค„—Š” c2™€ n2๊ฐ€ ž… ฅœ‹ค. —ฌ๊ธฐ—„œ c1, c2, n1, n2Š” ‘ –‘˜  •ˆ˜ฉฐ 2,000,000,000‹ค ž‘‹ค.

๊ตฌŠฌ˜ ๊ฐœˆ˜ฅผ ž… ฅ•˜Š” žฆฌ— 0 “ค–˜ค ž… ฅ ข…ฃŒœ‹ค.

Output

ž… ฅ— žˆŠ” ๊ฐ …ŒŠคŠธ €Šค— Œ€• น„šฉ„ ตœ†Œ™”•  ˆ˜ žˆŠ” ••„ ถœ ฅ•œ‹ค(•œ ค„— …ŒŠคŠธ €Šค •˜‚˜”ฉ). •• žˆœผ ‘ ๊ฐœ˜ Œ •„‹Œ  •ˆ˜ m1, m2ฅผ ถœ ฅ•œ‹ค. •Œ miŠ” ƒ€ž… iธ ƒž˜ ๊ฐœˆ˜ฅผ ˜ฏธ•œ‹ค. •๊ฐ€ —†œผ "failed"ฅผ ถœ ฅ•œ‹ค.

•๊ฐ€ žฌ•˜ ๊ทธ •๊ฐ€ œ ผ•œ •ผ๊ณ  ๊ฐ€ ••„ œ‹ค.

Sample Input

~cpp 
43
1 3
2 4
40
5 9
5 12
0

Sample Output

~cpp 
13 1
failed

’€

ž‘„ฑž ‚ฌšฉ–ธ– ๊ฐœฐœ‹œ๊ฐ„ ฝ”“œ
ฌธฐฝ C++ 5‹œ๊ฐ„ Marbles/ฌธฐฝ
™˜„ C++ 3‹œ๊ฐ„ Marbles/™˜„
‹ žฌ™ C++ 45ถ„ Marbles/‹ žฌ™
กฐ˜„ƒœ C . Marbles/กฐ˜„ƒœ

“ฐ ˆ“œ

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