Your little brother, Alice, is very fond of playing with integers. One day, Alice was given a list of N integers by his school teacher. Now, your brother wants to play a game with you. Alice will give you an integer, S. You have to find if it is possible to find two values from the list (at distinct positions) whose sum is equal to S. Now you are feeling very tired. So you decided to write a code, so that it can give you the answer very quickly. 1) Can you write an 0 (n²) Solution to solve the problem? 2) Come up with an O(n) or (plogn) solution

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Your little brother, Alice, is very fond of playing with integers. One
day, Alice was given a list of N integers by his school teacher. Now,
your brother wants to play a game with you.
Alice will give you an integer, S. You have to find if it is possible
to find two values from the list (at distinct positions) whose sum is
equal to S.
Now you are feeling very tired. So you decided to write a code, so that
it can give you the answer very quickly.
1) Can you write an 0 (n²) Solution to solve the problem?
2) Come up with an O(n) or 0 (nlogn) solution.
Input
The first line contains two integers N and S ( 1 <= N <= 10% 1 <= S <=
10), denoting the length of the list, and the target Sum.
In the next line, there will be N integers a, a, ........... ay (1 ≤ a ≤ 10%)
separated by space.
Output
Print two integers: the positions of the values [1 based indexing]. If
there are several solutions, you may print any of them. If there are no
solutions, print "IMPOSSIBLE".
Sample Input 1
4 10
37 15
Sample Input 2
6 18
9 10 1 5 9 8
Sample Input 3
4 7
2 4 6 8
Sample Input 4
3 12
6 12
Sample Output 1
1 2
Sample Output 2
15
[2 6 is also a valid answer]
[print only one output]
Sample Output 3.
IMPOSSIBLE
Sample Output 4.
IMPOSSIBLE
Transcribed Image Text:Your little brother, Alice, is very fond of playing with integers. One day, Alice was given a list of N integers by his school teacher. Now, your brother wants to play a game with you. Alice will give you an integer, S. You have to find if it is possible to find two values from the list (at distinct positions) whose sum is equal to S. Now you are feeling very tired. So you decided to write a code, so that it can give you the answer very quickly. 1) Can you write an 0 (n²) Solution to solve the problem? 2) Come up with an O(n) or 0 (nlogn) solution. Input The first line contains two integers N and S ( 1 <= N <= 10% 1 <= S <= 10), denoting the length of the list, and the target Sum. In the next line, there will be N integers a, a, ........... ay (1 ≤ a ≤ 10%) separated by space. Output Print two integers: the positions of the values [1 based indexing]. If there are several solutions, you may print any of them. If there are no solutions, print "IMPOSSIBLE". Sample Input 1 4 10 37 15 Sample Input 2 6 18 9 10 1 5 9 8 Sample Input 3 4 7 2 4 6 8 Sample Input 4 3 12 6 12 Sample Output 1 1 2 Sample Output 2 15 [2 6 is also a valid answer] [print only one output] Sample Output 3. IMPOSSIBLE Sample Output 4. IMPOSSIBLE
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