vgel/INTELLECT-2-RL-Dataset-Code-Only huggingface dataset:
Comprised of a team of five incredibly brilliant women, "The ladies of ENIAC" were the first “computors” working at the University of Pennsylvania’s Moore School of Engineering (1945). Through their contributions, we gained the first software application and the first programming classes! The ladies of ENIAC were inducted into the WITI Hall of Fame in 1997!

Write a function which reveals "The ladies of ENIAC" names, so that you too can add them to your own hall of tech fame!

To keep: only alpha characters, space characters and exclamation marks.  
To remove: numbers and these characters: ```%$&/£?@```

Result should be all in uppercase.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Tim is visiting his grandma for two days and is bored due to the lack of the electricity over there. That's why he starts to play with grandma's colorful candle collection.

He aligned the $N$ candles from left to right. The $\boldsymbol{i}$th candle from the left has the height $\boldsymbol{H}_i$ and the color $C_i$, an integer ranged from 1 to a given $\mbox{K}$, the number of colors. 

Now he stares at the sequence of candles and wonders, how many strictly increasing ( in height ) colorful subsequences are there? A subsequence is considered as colorful if every of the $\mbox{K}$ colors appears at least one times in the subsequence. 

As the number of subsequences fulfilling the requirement can be large, print the result modulo $10^9+7$.

Input Format

On the first line you will be given $N$ and $\mbox{K}$, then $N$ lines will follow. On the $\boldsymbol{i}$th line you will be given two integers $\boldsymbol{H}_i$ and $C_i$. 

Constraints

$1\leq N\leq5\cdot10^4$
$1\leq C_i\leq K\leq7$
$1\leq H_i\leq5\cdot10^4$

Output Format

Print the number of strictly increasing colorful subsequences modulo $10^9+7$. 

Sample Input
4 3
1 1
3 2
2 2
4 3

Sample Output
2

Explanation

In the first sample the only two valid subsequences are (1, 2, 4) and (1, 3, 4).

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Let's call a positive integer composite if it has at least one divisor other than $1$ and itself. For example:

  the following numbers are composite: $1024$, $4$, $6$, $9$;  the following numbers are not composite: $13$, $1$, $2$, $3$, $37$. 

You are given a positive integer $n$. Find two composite integers $a,b$ such that $a-b=n$.

It can be proven that solution always exists.


-----Input-----

The input contains one integer $n$ ($1 \leq n \leq 10^7$): the given integer.


-----Output-----

Print two composite integers $a,b$ ($2 \leq a, b \leq 10^9, a-b=n$).

It can be proven, that solution always exists.

If there are several possible solutions, you can print any. 


-----Examples-----
Input
1

Output
9 8

Input
512

Output
4608 4096

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Ashton appeared for a job interview and is asked the following question. Arrange all the distinct substrings  of a given string in lexicographical order and concatenate them. Print the $k^{th}$ character of the concatenated string. It is assured that given value of $\boldsymbol{\mbox{k}}$ will be valid i.e. there will be a $k^{th}$ character. Can you help Ashton out with this?  

For example, given the string $s=\mathtt{abc}$, its distinct substrings are $[a,\:ab,\:abc,\:abcd,\:b,\:bc,\:bcd,\:c,\:cd,\:d]$.  Sorted and concatenated, they make the string $aababcabcdbbcbcdccdd$.  If $K=5$ then, the answer is $\boldsymbol{b}$, the $5^{th}$ character of the 1-indexed concatenated string.  

Note We have distinct substrings here, i.e. if string is aa, it's distinct substrings are a and aa.  

Function Description  

Complete the ashtonString function in the editor below.  It should return the $k^{th}$ character from the concatenated string, 1-based indexing.  

ashtonString has the following parameters: 

- s: a string 

- k: an integer  

Input Format

The first line will contain an integer $\boldsymbol{\boldsymbol{t}}$, the number of test cases.  

Each of the subsequent $\boldsymbol{\boldsymbol{t}}$ pairs of lines is as follows: 

- The first line of each test case contains a string, $\boldsymbol{\mathrm{~S~}}$. 

- The second line contains an integer, $\boldsymbol{\mbox{k}}$.  

Constraints

$1\leq t\leq5$ 

$1\leq|s|\leq10^5$ 

Each character of string $s\in a s c i i[a-z]$ 

$\boldsymbol{\mbox{k}}$ will be an appropriate integer. 

Output Format

Print the $k^{th}$ character (1-based index) of the concatenation of the ordered distinct substrings of $\boldsymbol{\mathrm{~S~}}$.

Sample Input
1
dbac
3

Sample Output
c

Explanation

The substrings when arranged in lexicographic order are as follows   

a, ac, b, ba, bac, c, d, db, dba, dbac

On concatenating them, we get 

aacbbabaccddbdbadbac

The third character in this string is c.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Snuke is buying a lamp.
The light of the lamp can be adjusted to m levels of brightness, represented by integers from 1 through m, by the two buttons on the remote control.
The first button is a "forward" button. When this button is pressed, the brightness level is increased by 1, except when the brightness level is m, in which case the brightness level becomes 1.
The second button is a "favorite" button. When this button is pressed, the brightness level becomes the favorite brightness level x, which is set when the lamp is purchased.
Snuke is thinking of setting the favorite brightness level x so that he can efficiently adjust the brightness.
He is planning to change the brightness n-1 times. In the i-th change, the brightness level is changed from a_i to a_{i+1}. The initial brightness level is a_1.
Find the number of times Snuke needs to press the buttons when x is set to minimize this number.

-----Constraints-----
 - 2 \leq n,m \leq 10^5
 - 1 \leq a_i\leq m
 - a_i \neq a_{i+1}
 - n, m and a_i are integers.

-----Input-----
Input is given from Standard Input in the following format:
n m
a_1 a_2 … a_n

-----Output-----
Print the minimum number of times Snuke needs to press the buttons.

-----Sample Input-----
4 6
1 5 1 4

-----Sample Output-----
5

When the favorite brightness level is set to 1, 2, 3, 4, 5 and 6, Snuke needs to press the buttons 8, 9, 7, 5, 6 and 9 times, respectively.
Thus, Snuke should set the favorite brightness level to 4.
In this case, the brightness is adjusted as follows:
 - In the first change, press the favorite button once, then press the forward button once.
 - In the second change, press the forward button twice.
 - In the third change, press the favorite button once.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Background:
Mehta had a horrible nightmare in which he dreamt of the Evil String. The impact of that string was so much that it forced Mehta to calculate the number of possible Evil Strings after he woke up.

Task:
Mehta is afraid to code right now. So, he mails you the required conditions to calculate the number of possible Evil Strings.
Some properties of these strings include:-
They are of given specific length. 
They consist of digits only between 0-9 (both inclusive).
They may have leading zeros.
They have certain Evil Product which is defined as product of digits in the string.
Their F(Evil Product) is always greater than 0.
F(P) is calculated as Bitwise XOR of all the prime factors of P.
For eg: 12 is written as 2^2 * 3^1
Therefore, F(12) = 2 xor 2 xor 3 = 3
Input:
First line of the input consists of number of testcases T
Next T lines consists of length of the Evil String N

Output:
Print the number of possible Evil Strings modulo 10^9+7 of given length N for each test case in a separate line.

Constraints:
Subtask 1:
1 ≤ T ≤ 100
1 ≤ N ≤ 10^5
Subtask 2:
1 ≤ T ≤ 10
1 ≤ N ≤ 10^18

Note:
Leading zeros in the string also contribute to its product of digits which would be zero anyway.

Problem statement in native language :  http://hck.re/Lo1koZ

SAMPLE INPUT
5
1
5
7
8
2

SAMPLE OUTPUT
6
52806
4370778
39585232
64

Explanation

[Case 1:]
For N = 1, possible evil strings are "2","3","5","6","7","8".
Their F(Evil Product) is greater than 0.

Rest of the cases is for you to figure out.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
We define a function F, on a array , P ,as follows:
F(P) = ( length(P)^

distinct(P))%(10^9+7)
where:
 length(P) denotes the number of elements in array P.
 distinct(P) denotes number of distinct elements in array P.

Ma5termind loves creating new challenges and he need your help testing his newest one. Given a array A consisting of N elements, compute the maximum value of F over all possible subarrays of A.

As result can be quite large, print it modulo 10^9+7.

Input:
Each input file will contain a T test cases.

First line will contain a single integer N denoting number of elements in array A.

Next line will contain a list of N integers Ai.

Ouput:
For each test case, output the answer in new line.

Constraints:

1 ≤ T ≤ 5 
1 ≤ N ≤ 100000
1 ≤ A[i] ≤ 100000000

See sample I/O for more clarification.

Scoring:

subtask 1: 1 ≤ N  ≤ 1000 ( 30 pts )
subtask 2: 1 ≤ N  ≤ 10^5 ( 70 pts )

SAMPLE INPUT
1
2
1 2

SAMPLE OUTPUT
4

Explanation

The maximum value of is for sub-array {1,2}.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Vova's family is building the Great Vova Wall (named by Vova himself). Vova's parents, grandparents, grand-grandparents contributed to it. Now it's totally up to Vova to put the finishing touches.

The current state of the wall can be respresented by a sequence $a$ of $n$ integers, with $a_i$ being the height of the $i$-th part of the wall.

Vova can only use $2 \times 1$ bricks to put in the wall (he has infinite supply of them, however).

Vova can put bricks horizontally on the neighboring parts of the wall of equal height. It means that if for some $i$ the current height of part $i$ is the same as for part $i + 1$, then Vova can put a brick there and thus increase both heights by 1. Obviously, Vova can't put bricks in such a way that its parts turn out to be off the borders (to the left of part $1$ of the wall or to the right of part $n$ of it).

The next paragraph is specific to the version 1 of the problem.

Vova can also put bricks vertically. That means increasing height of any part of the wall by 2.

Vova is a perfectionist, so he considers the wall completed when:

  all parts of the wall has the same height;  the wall has no empty spaces inside it. 

Can Vova complete the wall using any amount of bricks (possibly zero)?


-----Input-----

The first line contains a single integer $n$ ($1 \le n \le 2 \cdot 10^5$) — the number of parts in the wall.

The second line contains $n$ integers $a_1, a_2, \dots, a_n$ ($1 \le a_i \le 10^9$) — the initial heights of the parts of the wall.


-----Output-----

Print "YES" if Vova can complete the wall using any amount of bricks (possibly zero).

Print "NO" otherwise.


-----Examples-----
Input
5
2 1 1 2 5

Output
YES

Input
3
4 5 3

Output
YES

Input
2
10 10

Output
YES

Input
3
1 2 3

Output
NO



-----Note-----

In the first example Vova can put a brick on parts 2 and 3 to make the wall $[2, 2, 2, 2, 5]$ and then put 3 bricks on parts 1 and 2 and 3 bricks on parts 3 and 4 to make it $[5, 5, 5, 5, 5]$.

In the second example Vova can put a brick vertically on part 3 to make the wall $[4, 5, 5]$, then horizontally on parts 2 and 3 to make it $[4, 6, 6]$ and then vertically on part 1 to make it $[6, 6, 6]$.

In the third example the wall is already complete.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
To some string S, we will perform some replacement operations that replace groups of letters with new ones (not necessarily the same size).
Each replacement operation has 3 parameters: a starting index i, a source word x and a target word y.  The rule is that if x starts at position i in the original string S, then we will replace that occurrence of x with y.  If not, we do nothing.
For example, if we have S = "abcd" and we have some replacement operation i = 2, x = "cd", y = "ffff", then because "cd" starts at position 2 in the original string S, we will replace it with "ffff".
Using another example on S = "abcd", if we have both the replacement operation i = 0, x = "ab", y = "eee", as well as another replacement operation i = 2, x = "ec", y = "ffff", this second operation does nothing because in the original string S[2] = 'c', which doesn't match x[0] = 'e'.
All these operations occur simultaneously.  It's guaranteed that there won't be any overlap in replacement: for example, S = "abc", indexes = [0, 1], sources = ["ab","bc"] is not a valid test case.
Example 1:
Input: S = "abcd", indexes = [0,2], sources = ["a","cd"], targets = ["eee","ffff"]
Output: "eeebffff"
Explanation: "a" starts at index 0 in S, so it's replaced by "eee".
"cd" starts at index 2 in S, so it's replaced by "ffff".

Example 2:
Input: S = "abcd", indexes = [0,2], sources = ["ab","ec"], targets = ["eee","ffff"]
Output: "eeecd"
Explanation: "ab" starts at index 0 in S, so it's replaced by "eee". 
"ec" doesn't starts at index 2 in the original S, so we do nothing.

Notes:

0 <= indexes.length = sources.length = targets.length <= 100
0 < indexes[i] < S.length <= 1000
All characters in given inputs are lowercase letters.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
n pupils, who love to read books, study at school. It is known that each student has exactly one best friend, and each pupil is the best friend of exactly one other pupil. Each of the pupils has exactly one interesting book.

The pupils decided to share books with each other. Every day, all pupils give their own books to their best friends. Thus, every day each of the pupils has exactly one book.

Your task is to use the list of the best friends and determine the exchange of books among pupils after k days. For simplicity, all students are numbered from 1 to n in all tests.

Input

The first line contains two integers n and k (2 ≤ n ≤ 100000, 1 ≤ k ≤ 1016) — the number of pupils and days during which they will exchange books.

The second line contains n different integers ai (1 ≤ ai ≤ n), where ai is equal to the number of the pupil who has the best friend with the number i.

It is guaranteed that no pupil is the best friend of himself.

Output

In a single line print n different integers, where i-th integer should be equal to the number of the pupil who will have the book, which the pupil with the number i had in the beginning, after k days.

Examples

Input

4 1
2 4 1 3


Output

3 1 4 2 


Input

5 5
3 4 5 2 1


Output

3 4 5 2 1 


Input

6 18
2 3 5 1 6 4


Output

1 2 3 4 5 6 

Note

The explanation to the first test.

There are 4 pupils and 1 day. The list of the best friends equals to {2, 4, 1, 3}. It means that:

  * the pupil with the number 3 — is the best friend of pupil with the number 1, 
  * the pupil with the number 1 — is the best friend of pupil with the number 2, 
  * the pupil with the number 4 — is the best friend of pupil with the number 3, 
  * the pupil with the number 2 — is the best friend of pupil with the number 4. 



After the first day the exchange of books will be {3, 1, 4, 2}.

  * the pupil with the number 3 will have the book, which the pupil with the number 1 had in the beginning, 
  * the pupil with the number 1 will have the book, which the pupil with the number 2 had in the beginning, 
  * the pupil with the number 4 will have the book, which the pupil with the number 3 had in the beginning 
  * the pupil with the number 2 will have the book, which the pupil with the number 4 had in the beginning. 



Thus, the answer is 3 1 4 2.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Title: Border

Time Limit: None seconds

Memory Limit: None megabytes

Problem Description:
Astronaut Natasha arrived on Mars. She knows that the Martians are very poor aliens. To ensure a better life for the Mars citizens, their emperor decided to take tax from every tourist who visited the planet. Natasha is the inhabitant of Earth, therefore she had to pay the tax to enter the territory of Mars.

There are $n$ banknote denominations on Mars: the value of $i$-th banknote is $a_i$. Natasha has an infinite number of banknotes of each denomination.

Martians have $k$ fingers on their hands, so they use a number system with base $k$. In addition, the Martians consider the digit $d$ (in the number system with base $k$) divine. Thus, if the last digit in Natasha's tax amount written in the number system with the base $k$ is $d$, the Martians will be happy. Unfortunately, Natasha does not know the Martians' divine digit yet.

Determine for which values $d$ Natasha can make the Martians happy.

Natasha can use only her banknotes. Martians don't give her change.

Input Specification:
The first line contains two integers $n$ and $k$ ($1 \le n \le 100\,000$, $2 \le k \le 100\,000$) — the number of denominations of banknotes and the base of the number system on Mars.

The second line contains $n$ integers $a_1, a_2, \ldots, a_n$ ($1 \le a_i \le 10^9$) — denominations of banknotes on Mars.

All numbers are given in decimal notation.

Output Specification:
On the first line output the number of values $d$ for which Natasha can make the Martians happy.

In the second line, output all these values in increasing order.

Print all numbers in decimal notation.

Demo Input:
['2 8\n12 20\n', '3 10\n10 20 30\n']

Demo Output:
['2\n0 4 ', '1\n0 ']

Note:
Consider the first test case. It uses the octal number system.

If you take one banknote with the value of $12$, you will get $14_8$ in octal system. The last digit is $4_8$.

If you take one banknote with the value of $12$ and one banknote with the value of $20$, the total value will be $32$. In the octal system, it is $40_8$. The last digit is $0_8$.

If you take two banknotes with the value of $20$, the total value will be $40$, this is $50_8$ in the octal system. The last digit is $0_8$.

No other digits other than $0_8$ and $4_8$ can be obtained. Digits $0_8$ and $4_8$ could also be obtained in other ways.

The second test case uses the decimal number system. The nominals of all banknotes end with zero, so Natasha can give the Martians only the amount whose decimal notation also ends with zero.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Read problems statements in [Mandarin Chinese], [Russian] and [Vietnamese] as well.

Chef is a farmer and a pet lover. He has a lot of his favorite pets cats and dogs in the barn. He knows that there are $C$ cats and $D$ dogs in the barn. Also, one day went to field and found that there were $L$ legs of the animals touching the ground. Chef knows that cats love to ride on the dogs. So, they might ride on the dogs, and their legs won't touch the ground and Chef would miss counting their legs. Chef's dogs are strong enough to ride at max two cats on their back.

It was a cold foggy morning, when Chef did this counting. So he is now wondering whether he counted the legs properly or not. Specifically, he is wondering whether it is possible that he counted correctly. Please help Chef in finding it.

------  Input ------

First line of the input contains an integer $T$, denoting number of test cases. $T$ test cases follow.

The only line of each test case contains three space separated integers $C, D, L$, denoting number of the cats, number of the dogs and number of legs of animals counted by Chef, respectively.

------  Output ------

For each test case, output a single line containing a string yes or no, according to the situation.

------  Constraints ------

$1 ≤ T ≤ 10^{5}$
$0 ≤ C, D, L ≤ 10^{9}$

------  Subtasks ------

Subtask #1 (20 points):

$1 ≤ T ≤ 10^{4}$
$0 ≤ C, D ≤ 100$

Subtask #2 (30 points):

$1 ≤ T ≤ 10^{5}$
$0 ≤ C, D ≤ 1000$

Subtask #3 (50 points):

Original constraints

----- Sample Input 1 ------ 
3

1 1 8

1 1 4

1 1 2
----- Sample Output 1 ------ 
yes

yes

no
----- explanation 1 ------ 
Example 1: There is one cat and one dog. The number of legs of these animals on the ground are $8$, it can be possible when both cat and dog are standing on the ground.

Example 2: There is one cat and one dog. The number of legs of these animals on the ground are $4$, it can be possible if the cat will ride on the dog, so its legs won't be counted by Chef, only the dog's legs will be counted.

Example 3: There is one cat and one dog. The number of legs of these animals are $2$, it can not be true at all, Chef might have made some mistake. Hence, the answer is no.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
In the mysterious country of ABD, everything is quite different from what you'd
normally expect. In most places, if you were approached by two mobsters in a dark alley, they would
probably tell you to give them all the money that you have. If you refused, or didn't have any -
they might even beat you up.
In ABD the government decided that even the slightest chance of someone getting injured has to be ruled out. So, they introduced a strict policy. When a mobster approaches you in a dark
alley, he asks you for a specific amount of money. You are obliged to show him all the money that
you have, but you only need to pay up if he can find a subset of your banknotes whose total value
matches his demand. Since banknotes in ABD can have any positive integer value smaller than
one thousand you are quite likely to get off without paying.
Both the citizens and the gangsters of ABD have very positive feelings about the system. No one ever
gets hurt, the gangsters don't lose their jobs, and there are quite a few rules that minimize that
probability of getting mugged (the first one is: don't go into dark alleys - and this one is said to work in other places also).

Input

The first line contains integer t, the number of test cases (about 100). Then t test cases follow. Each test case starts with n, the
number of banknotes in your wallet, and m, the amount of money the muggers asked of you. Then n
numbers follow, representing values of your banknotes. Your wallet does not hold more than 20 banknotes, and the value of a single banknote is never more than 1000.

Output

For each test case output a single line with the word 'Yes' if there is a subset of your banknotes that sums to m, and 'No' otherwise.

SAMPLE INPUT
4
3 3
1 1 1
5 11
1 2 4 8 16
5 23
1 2 4 8 16
5 13
1 5 5 10 10

SAMPLE OUTPUT
Yes
Yes
Yes
No

Explanation

Explanation: For example, in the last case you have to pay up, since: 6+3+123=132.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.