BSMATH1 - Math with Bases (Easy)

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Little Ben had just learned different bases in math. He learned very quickly how to add and subtract in multiple bases, so his teacher provided him with a worksheet to work on. Each section provided a different base and gave an example.

Unfortunately, Little Ben's teacher forgot to write what base each question was in! Please help Little Ben do his homework; he'll be very grateful!

Input

The first line of input contains an integer n (1 ≤ n < 36) that indicates the amount of sections (test cases). Each test case is as follows:

A - B = C
I
X1 op Y1 =
X2 op Y2 =
...
XI op YI =

where A - B = C is the correct example, I (1 ≤ I ≤ 1000) is the number of questions in that section, Xi and Yi are the operands of each problem (Xi = |Xi|, Yi = |Yi|), and op is either + or -, denoting addition or subtraction.


Output

Your program should output in the following format:

SECTION 1 (BASE b)
X1 op Y1 = Z1
X2 op Y2 = Z2
...
Xi op Yi = Zi
SECTION 2 (BASE b)
X1 op Y1 = Z1
X2 op Y2 = Z2
...
Xi op Yi = Zi
...
SECTION N (BASE b)
X1 op Y1 = Z1
X2 op Y2 = Z2
...
Xi op Yi = Zi

where Zi is the solution to Xi op Yi, and b is the base used. (2 ≤ b ≤ 36). If the base is ambiguous, use the smallest base for which the example is correct and the questions are valid. You may assume all solutions fit inside a 64-bit integer and that each base will appear at most once.

 

Example

Input:

4
110 - 101 = 1
2
1111111 + 1 =
100 - 1 =
177 + 1 = 200
2
7712347 + 7 =
11111 + 7777 =
ZAP + DZ = ZOO
1
E + PI =
10 + 1 = 11
1
5 + 5 =

Output:

SECTION 1 (BASE 2)
  1111111 + 1 = 10000000
  100 - 1 = 11
SECTION 2 (BASE 8)
  7712347 + 7 = 7712356
  11111 + 7777 = 21110
SECTION 3 (BASE 36)
  E + PI = PW
SECTION 4 (BASE 6)
  5 + 5 = 14

Notes:

  • large input/output data, be careful with certain languages
  • Tricky input/output; please read problem statement carefully

hide comments
vzemeow: 2023-11-22 16:12:39

мать ебал автора задавчи

katsuki: 2022-05-20 07:23:14


ID ОГНОО Хэрэглэгчийн нэр: PROBLEM RESULT TIME САНАХ ОЙ LANG
29577991 2022-05-20 07:05:14 Munkhsuld Тэнцсэн, унасан хөрвүүлэлтийн алдаа
edit run - -
C++

4.3.2

29577989 2022-05-20 07:05:08 Tsooj Минут секунд -> секунд accepted 0.02 5.3M
CPP

29577987 2022-05-20 07:04:35 datohileong Давхар давталт 1 Буруу хариулт 0.01 5.4M
CPP

29577986 2022-05-20 07:04:28 datohileong Давхар давталт 1 Буруу хариулт 0.01 5.4M
CPP

29577985 2022-05-20 07:04:25 Tsooj 3 оронтой тоо Буруу хариулт 0.01 5.3M
CPP

29577984 2022-05-20 07:04:24 Tsooj 3 оронтой тоо Буруу хариулт 0.01 5.4M
CPP

29577983 2022-05-20 07:04:16 enx_jinen Үржвэр нийлбэр 1 хөрвүүлэлтийн алдаа - -
C++

4.3.2

29577980 2022-05-20 07:03:34 hhasar Тэмдэгтэд харгалзах код accepted 0.02 5.4M
C++

4.3.2

29577979 2022-05-20 07:03:33 maral_m Факториалын хүрд accepted 0.03 5.4M
CPP

29577978 2022-05-20 07:03:10 Munkhsuld Тэнцсэн, унасан Буруу хариулт
edit run 0.00 5.3M
C++

4.3.2

29577977 2022-05-20 07:02:58 Tugsuubn Тоон үнэлгээнээс үсгэнд accepted 0.02 5.4M
C++

4.3.2

29577976 2022-05-20 07:02:51 mrlgorkd Үржвэр нийлбэр 3 хөрвүүлэлтийн алдаа - -
C++

4.3.2

29577975 2022-05-20 07:02:37 Munkhsuld Тэнцсэн, унасан хөрвүүлэлтийн алдаа
edit run - -
C++

4.3.2

29577974 2022-05-20 07:02:31 maral_m Факториалын хүрд Буруу хариулт 0.01 5.3M
CPP

29577973 2022-05-20 07:02:12 oyuka Оронгийн тоо accepted 0.01 5.3M
C++

4.3.2

29577972 2022-05-20 07:01:54 номинжин Том үсэгт шилжүүл Буруу хариулт 0.00 5.4M
C++

4.3.2

29577971 2022-05-20 07:01:51 hhasar Тэмдэгтэд харгалзах код Буруу хариулт 0.00 5.3M
C++

4.3.2

29577970 2022-05-20 07:01:33 maral_m Факториалын хүрд Буруу хариулт 0.01 5.2M
CPP

29577969 2022-05-20 07:01:14 oyuka Оронгийн тоо хөрвүүлэлтийн алдаа - -
C++

4.3.2

29577968 2022-05-20 07:01:08 hhasar Тоонд харгалзах тэмдэгт accepted 0.02 5.4M
C++

4.3.2

David: 2021-01-12 22:12:43

Why is the Java language excluded?

Last edit: 2021-01-12 22:18:57
nadstratosfer: 2017-12-16 04:52:53

Unnecessarily tight time limit for this type of problem, almost lost a compact, elegant Python solution to a dreaded TLE. Looking back though, the tweaked bit that converted TLE to best Python runtime was an important lesson. Thanks Simes for pissing me off by ACing it while I whined ;)

Last edit: 2017-12-16 21:03:00
Vamsi Krishna Avula: 2015-02-02 11:57:55

I thought the TL was strict but its quite opposite ;)


Added by:Jargon
Date:2009-12-04
Time limit:0.100s-1s
Source limit:5000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:ASM32 ASM64 BASH BF C C++ 4.3.2 CPP CPP14 C99 CLPS LISP sbcl D FORTRAN ICK NEM OCAML PAS-GPC PAS-FPC PRLG-swi PYTHON RUBY SCALA SCM guile SCM qobi ST TCL TEXT WHITESPACE
Resource:Own problem