dance2

Time Limit: 3000 MS    Memory Limit: 65536 K

---

Description

The cow cotillion, a fancy dance every spring, requires the cows

(shown as ">") and bulls (shown as "<") to bow to each other during

a dance. Schematically, one properly bowing pair of cattle is shown

like this: "><". Sometimes another pair of cattle will sashay between

a pair of bowing cows: "> >< <".

In fact, sometimes a larger number of cows will mix it up on the

dance floor: "> >< < ><" (this includes a second set of bowing cows

on the right). Complex arrangements can be perfectly legal dance

formations:

              > > > >< < >< < >< >< >< <

              | | | -- | -- | -- -- -- |

              | | ------    |          |

              | -------------          |

              --------------------------

Farmer John notices that a stray heifer sometimes sneaks into a

group and unbalances it: "> >< < <><". This is strictly forbidden;

FJ wants to punish the interlopers.

FJ has copied down records of as many as 500 cows participating in

dance lines and wonders if the dance line is properly balanced

(i.e., all of the cattle can be paired off in at least one way as

properly bowing pair by pair). He copied only the direction each

cow was bowing without any extra spaces to help determine which cow

was bowing to which bull, strings like this rendition of the illegal

example from the previous paragraph: ">><<<><". He wants you to

write a program to tell him if the dance line is legal.

FJ has N (1 <= N <= 1,000) pattern recordings P_i comprising just

the characters '>' and '<' with varying length K_i (1 <= K_i <=

200).  Print "legal" for those patterns that include proper pairs

of bowing cows and "illegal" for those that don't.

Input

* Line 1: A single integer: N

* Lines 2..N+1: Line i contains an integer followed by a space and a

        string of K characters '>' and '<': K_i and P_i

Output

* Lines 1..N: Line i contains either the word "legal" or "illegal"

        (without the quotes, of course) depending on whether the input

        has a legal bowing configuration.

Sample Input

2

6 >><<><

4 ><<>

Sample Output

legal

illegal

题意：就是给出一行字符串，仅包括符号'>'和'<'，然后判断是否匹配，其实跟括号匹配的判断原理相同，就是来模拟栈。

其过程如下:

1)如果遇到'>',直接push;

2)如果遇到'<',如果栈非空且栈顶字符为'>'，则进行pop;

   否则进行push;

3)最后，如果栈为空，则是合法的；否则不合法；

#include

<

iostream

>

#include

<

algorithm

>

#include

<

stack

>

using

namespace

std;

int

main(

void

)

{

int

t,n;

char

ch;

while

(scanf(

"

%d

"

,

&

t)

==

1

)

{

for

(

int

i

=

0

;i

<

t;i

++

)

{

int

flag

=

0

;

stack

<

char

>

st;

scanf(

"

%d

"

,

&

n);

for

(

int

j

=

0

;j

<

n;j

++

)

{

scanf(

"

%c

"

,

&

ch);

if

(ch

==

'

<

'

&&!

st.empty()

&&

st.top()

==

'

>

'

)

{

st.pop();

continue

;

}

st.push(ch);

}

if

(st.empty())

printf(

"

legal\n

"

);

else

printf(

"

illegal\n

"

);

}

}

return

0

;

}