There is a famous railway station in PopPush City. Country there is incredibly hilly. The station was built in last century. Unfortunately, funds were extremely limited that time. It was possible to establish only a surface track. Moreover, it turned out that the station could be only a dead-end one (see picture) and due to lack of available space it could have oniy one track. 5, 4, 3, 2, 1 1, 2, 3, 4, 5 B. Station The local tradition is that every train arriving from the direction A continues in the direction B with coaches reorganized in some way. • Assume that the train arriving from the direction A has NE 1000 coaches numbered in increasing order 1, 2. . N. • The chief for train reorganizations must know whether it is possible to marshal coaches continuing in the direction B so that their order will be a. a. . aN. Help him and write a program that decides whether it is possible to ge: the required order of coaches. • You can assume that single coaches can be disconnected from the train before they enter the station and that they can move themselves until they are on the track in the direction B. • You can also suppose that at any time there can be located as many coaches as necessary in the station. But once a coach has entered the station it cannot return to the track in the direction A and also once it has left the station in the direction Bit cannot return back to the station. Program Input • The input file consists of blocks of lines, each of which is a test case. Each block except the last describes one train and possibly more requirements for its reorganization. In the first line of the block there is the integer N. which is the number of coaches in the train, In each N.For example, if N is 5, and the permutation could be 5, 3, 2. 1.4. Your program will take this permutation as input and of the next lines of the block there is a permutation of 1, 2, determine whether you can marshal the coaches from track A an incoming order 1, 2, 3, 4, 5 to track B with an outgoing order 5, 3. 2, 1,4 using the station, which can be treated as a stack • The last line of the block contains just 0. • If a block starts with a zero, the program will terminate. • You should use the input file named lablin.txt (download from Canvas) to test your program; an output file named lablout.txt (with correct output) is also provided for you to verify your program.

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There is a famous railway station in PopPush City. Country there is incredibly hilly. The station was
built in last century. Unfortunately, funds wwere extremely limited that time. It was possible to
establish only a surface track. Moreover, it turned out that the station could be only a dead-end
one (see picture) and due to lack of available space it could have only one track.
5, 4, 3, 2, 1
1, 2, 3, 4, 5
Station
The local tradition is that every train arriving from the direction A continues in the direction B with
coaches reorganized in some way.
• Assume that the train arriving from the direction A has NS 1000 coaches numbered in
increasing order 1, 2, . N.
• The chieffor train reorganizations must know whether it is possible to marshal coaches
continuing in the direction B so that their order will be a, a2. . aN. Help him and write a
program that decides whether it is possible to get the required order of coaches.
• You can assume that single coaches can be disconnected from the train before they enter
the station and that they can move themselves until they are on the track in the direction B.
• You can also suppose that at any time there can be located as many coaches as necessary in
the station. But once a coach has entered the station it cannot return to the track in the
direction A and also once it has left the station in the direction B it cannot return back to the
station.
Program Input
• The input file consists of blocks of lines, each of which is a test case. Each block except the
last describes one train and possibly more requirements for its reorganization. In the first
line of the block there is the integer N, which is the number of coaches in the train. In each
of the next lines of the block there is a permutation of 1, 2, . N. For example, if N is 5, and
the permutation could be 5, 3, 2. 1, 4. Your program will take this permutation as input and
determine whether you can marshal the coaches from track A an incoming order 1, 2, 3, 4, 5
to track B with an outgoing order 5, 3. 2, 1, 4 using the station, which can be treated as a
stack
• The last line of the block contains just 0.
If a block starts with a zero, the program will terminate.
• You should use the input file named lablin.txt (download from Canvas) to test your
program; an output file named lab1out.txt (with correct output) is also provided for you to
verify your program.
Input Sample
...
Transcribed Image Text:Page There is a famous railway station in PopPush City. Country there is incredibly hilly. The station was built in last century. Unfortunately, funds wwere extremely limited that time. It was possible to establish only a surface track. Moreover, it turned out that the station could be only a dead-end one (see picture) and due to lack of available space it could have only one track. 5, 4, 3, 2, 1 1, 2, 3, 4, 5 Station The local tradition is that every train arriving from the direction A continues in the direction B with coaches reorganized in some way. • Assume that the train arriving from the direction A has NS 1000 coaches numbered in increasing order 1, 2, . N. • The chieffor train reorganizations must know whether it is possible to marshal coaches continuing in the direction B so that their order will be a, a2. . aN. Help him and write a program that decides whether it is possible to get the required order of coaches. • You can assume that single coaches can be disconnected from the train before they enter the station and that they can move themselves until they are on the track in the direction B. • You can also suppose that at any time there can be located as many coaches as necessary in the station. But once a coach has entered the station it cannot return to the track in the direction A and also once it has left the station in the direction B it cannot return back to the station. Program Input • The input file consists of blocks of lines, each of which is a test case. Each block except the last describes one train and possibly more requirements for its reorganization. In the first line of the block there is the integer N, which is the number of coaches in the train. In each of the next lines of the block there is a permutation of 1, 2, . N. For example, if N is 5, and the permutation could be 5, 3, 2. 1, 4. Your program will take this permutation as input and determine whether you can marshal the coaches from track A an incoming order 1, 2, 3, 4, 5 to track B with an outgoing order 5, 3. 2, 1, 4 using the station, which can be treated as a stack • The last line of the block contains just 0. If a block starts with a zero, the program will terminate. • You should use the input file named lablin.txt (download from Canvas) to test your program; an output file named lab1out.txt (with correct output) is also provided for you to verify your program. Input Sample ...
Input Sample
// start of first block
1 2 3 45
5 4123
// end of first block
// start of second block
654321
// end of second block
// end of input
Program Output
The output file contains the lines corresponding to the lines with permutations in the input file. A
line of the output file contains "Yes" if it is possible to marshal the coaches in the order required
on the corresponding line of the input file. Otherwise it'contains "No". In addition. there is one
empty line after the lines corresponding to one block of the input file. There is no line in the
output file corresponding to the last "nul" block of the input file.
Output Sample
This is an output sample of the previous input sample
Yes
NO
Yes
Hint
Key points to understand/solve the problem:
• The train station can be regarded as a stack.
• One can push a coach from track A into the stack when the coach is popped out of the stack,
it gets into track B, and a coach in the station can never go back to track A.
• Taking a train with 5 coaches as an exxample.
• Coaches in track A is always in strictly increasing order, Le. 1. 2. 3, 4, 5
The train chief tries to marshal the coaches into track B via a sequence of push and pop
operations.
• Each test case in the input file is asking a question: is it possible to marshal the the coaches
into track B such that the coach order matches the test case?
o For instance, if the test case is "1, 2, 3, 4, 5", then we can perform the following
sequence of operations
Transcribed Image Text:Input Sample // start of first block 1 2 3 45 5 4123 // end of first block // start of second block 654321 // end of second block // end of input Program Output The output file contains the lines corresponding to the lines with permutations in the input file. A line of the output file contains "Yes" if it is possible to marshal the coaches in the order required on the corresponding line of the input file. Otherwise it'contains "No". In addition. there is one empty line after the lines corresponding to one block of the input file. There is no line in the output file corresponding to the last "nul" block of the input file. Output Sample This is an output sample of the previous input sample Yes NO Yes Hint Key points to understand/solve the problem: • The train station can be regarded as a stack. • One can push a coach from track A into the stack when the coach is popped out of the stack, it gets into track B, and a coach in the station can never go back to track A. • Taking a train with 5 coaches as an exxample. • Coaches in track A is always in strictly increasing order, Le. 1. 2. 3, 4, 5 The train chief tries to marshal the coaches into track B via a sequence of push and pop operations. • Each test case in the input file is asking a question: is it possible to marshal the the coaches into track B such that the coach order matches the test case? o For instance, if the test case is "1, 2, 3, 4, 5", then we can perform the following sequence of operations
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