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Problem F
Basic Programming 1

You think you can code?
This problem will test you on various basic programming techniques.
You are given two integers $N$ and $t$; and then an array $A$ of $N$ integers ($0$-based indexing).
Based on the value of $t$, you will perform an action on $A$.

$t$

Action Needed

$1$

Print $7$, regardless of the content of $A$

$2$

Print “Bigger” if $A[0] > A[1]$, or

 

Print “Equal” if $A[0] == A[1]$, or

 

Print “Smaller” otherwise (without the quotes);

 

Ignore other indices of $A$, if any

$3$

Print the median of three integers {$A[0]$, $A[1]$, and $A[2]$};

 

Ignore other indices of $A$, if any

$4$

Print the sum of all integers in $A$

$5$

Print the sum of all even integers in $A$

$6$

Apply modulo (%) $26$ to each integer in $A$,

 

Map integer $0$/$1$/$\ldots $/$25$ to character ‘a’/‘b’/$\ldots $/‘z’,

 

Finally, print the sequence of characters as a string (without the spaces)

$7$

a. Start from index $i = 0$;

 

b. Jump to index $i = A[i]$;

 

c. If the current index $i$ is outside the valid bound of [0..$N$-1], print “Out” and stop;

 

d. Else if the current index $i$ is index $N$-$1$, print “Done” and stop;

 

e1. Otherwise, go back to step b;

 

e2. If doing this leads to an infinite loop, print “Cyclic” and stop;

 

(all output are without the quotes)

Input

The first line of the input contains an integer $N$ and $t$ ($3 \leq N \leq 200\, 000$; $1 \leq t \leq 7$).
The second line of the input contains $N$ non-negative $32$-bit signed integers.

Output

For each test case, output the required answer based on the value of $t$.

Scoring

There are $20$ hidden test cases that test various requirements of this problem.
All $20$ test cases will be tested.
Each hidden test case worth $5$ points (the $7$ sample test cases below worth $0$ point).

Sample Input 1 Sample Output 1
7 1
1 2 3 4 5 6 7
7
Sample Input 2 Sample Output 2
7 2
1 2 3 4 5 6 7
Smaller
Sample Input 3 Sample Output 3
7 3
1 2 3 4 5 6 7
2
Sample Input 4 Sample Output 4
7 4
1 2 3 4 5 6 7
28
Sample Input 5 Sample Output 5
7 5
1 2 3 4 5 6 7
12
Sample Input 6 Sample Output 6
10 6
7 4 11 37 14 22 40 17 11 3
helloworld
Sample Input 7 Sample Output 7
3 7
1 0 2
Cyclic

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