vgel/INTELLECT-2-RL-Dataset-Code-Only huggingface dataset:
Bob is a farmer. He has a large pasture with many sheep. Recently, he has lost some of them due to wolf attacks. He thus decided to place some shepherd dogs in such a way that all his sheep are protected.

The pasture is a rectangle consisting of R × C cells. Each cell is either empty, contains a sheep, a wolf or a dog. Sheep and dogs always stay in place, but wolves can roam freely around the pasture, by repeatedly moving to the left, right, up or down to a neighboring cell. When a wolf enters a cell with a sheep, it consumes it. However, no wolf can enter a cell with a dog.

Initially there are no dogs. Place dogs onto the pasture in such a way that no wolf can reach any sheep, or determine that it is impossible. Note that since you have many dogs, you do not need to minimize their number. 


-----Input-----

First line contains two integers R (1 ≤ R ≤ 500) and C (1 ≤ C ≤ 500), denoting the number of rows and the numbers of columns respectively.

Each of the following R lines is a string consisting of exactly C characters, representing one row of the pasture. Here, 'S' means a sheep, 'W' a wolf and '.' an empty cell.


-----Output-----

If it is impossible to protect all sheep, output a single line with the word "No".

Otherwise, output a line with the word "Yes". Then print R lines, representing the pasture after placing dogs. Again, 'S' means a sheep, 'W' a wolf, 'D' is a dog and '.' an empty space. You are not allowed to move, remove or add a sheep or a wolf.

If there are multiple solutions, you may print any of them. You don't have to minimize the number of dogs.


-----Examples-----
Input
6 6
..S...
..S.W.
.S....
..W...
...W..
......

Output
Yes
..SD..
..SDW.
.SD...
.DW...
DD.W..
......

Input
1 2
SW

Output
No

Input
5 5
.S...
...S.
S....
...S.
.S...

Output
Yes
.S...
...S.
S.D..
...S.
.S...



-----Note-----

In the first example, we can split the pasture into two halves, one containing wolves and one containing sheep. Note that the sheep at (2,1) is safe, as wolves cannot move diagonally.

In the second example, there are no empty spots to put dogs that would guard the lone sheep.

In the third example, there are no wolves, so the task is very easy. We put a dog in the center to observe the peacefulness of the meadow, but the solution would be correct even without him.

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

You are to write a function called `unique` that takes an array of integers and returns the array with duplicates removed. It must return the values in the same order as first seen in the given array. Thus no sorting should be done, if 52 appears before 10 in the given array then it should also be that 52 appears before 10 in the returned array.

## Assumptions

* All values given are integers (they can be positive or negative).
* You are given an array but it may be empty.
* They array may have duplicates or it may not.

## Example

```python
print unique([1, 5, 2, 0, 2, -3, 1, 10])
[1, 5, 2, 0, -3, 10]

print unique([])
[]

print unique([5, 2, 1, 3])
[5, 2, 1, 3]
```

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Title: Tourist's Notes

Time Limit: None seconds

Memory Limit: None megabytes

Problem Description:
A tourist hiked along the mountain range. The hike lasted for *n* days, during each day the tourist noted height above the sea level. On the *i*-th day height was equal to some integer *h**i*. The tourist pick smooth enough route for his hike, meaning that the between any two consecutive days height changes by at most 1, i.e. for all *i*'s from 1 to *n*<=-<=1 the inequality |*h**i*<=-<=*h**i*<=+<=1|<=≤<=1 holds.

At the end of the route the tourist rafted down a mountain river and some notes in the journal were washed away. Moreover, the numbers in the notes could have been distorted. Now the tourist wonders what could be the maximum height during his hike. Help him restore the maximum possible value of the maximum height throughout the hike or determine that the notes were so much distorted that they do not represent any possible height values that meet limits |*h**i*<=-<=*h**i*<=+<=1|<=≤<=1.

Input Specification:
The first line contains two space-separated numbers, *n* and *m* (1<=≤<=*n*<=≤<=108, 1<=≤<=*m*<=≤<=105) — the number of days of the hike and the number of notes left in the journal.

Next *m* lines contain two space-separated integers *d**i* and *h**d**i* (1<=≤<=*d**i*<=≤<=*n*, 0<=≤<=*h**d**i*<=≤<=108) — the number of the day when the *i*-th note was made and height on the *d**i*-th day. It is guaranteed that the notes are given in the chronological order, i.e. for all *i* from 1 to *m*<=-<=1 the following condition holds: *d**i*<=&lt;<=*d**i*<=+<=1.

Output Specification:
If the notes aren't contradictory, print a single integer — the maximum possible height value throughout the whole route.

If the notes do not correspond to any set of heights, print a single word 'IMPOSSIBLE' (without the quotes).

Demo Input:
['8 2\n2 0\n7 0\n', '8 3\n2 0\n7 0\n8 3\n']

Demo Output:
['2\n', 'IMPOSSIBLE\n']

Note:
For the first sample, an example of a correct height sequence with a maximum of 2: (0, 0, 1, 2, 1, 1, 0, 1).

In the second sample the inequality between *h*<sub class="lower-index">7</sub> and *h*<sub class="lower-index">8</sub> does not hold, thus the information is inconsistent.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
ZS the Coder has recently found an interesting concept called the Birthday Paradox. It states that given a random set of 23 people, there is around 50% chance that some two of them share the same birthday. ZS the Coder finds this very interesting, and decides to test this with the inhabitants of Udayland.

In Udayland, there are 2^{n} days in a year. ZS the Coder wants to interview k people from Udayland, each of them has birthday in one of 2^{n} days (each day with equal probability). He is interested in the probability of at least two of them have the birthday at the same day. 

ZS the Coder knows that the answer can be written as an irreducible fraction $\frac{A}{B}$. He wants to find the values of A and B (he does not like to deal with floating point numbers). Can you help him?


-----Input-----

The first and only line of the input contains two integers n and k (1 ≤ n ≤ 10^18, 2 ≤ k ≤ 10^18), meaning that there are 2^{n} days in a year and that ZS the Coder wants to interview exactly k people.


-----Output-----

If the probability of at least two k people having the same birthday in 2^{n} days long year equals $\frac{A}{B}$ (A ≥ 0, B ≥ 1, $\operatorname{gcd}(A, B) = 1$), print the A and B in a single line.

Since these numbers may be too large, print them modulo 10^6 + 3. Note that A and B must be coprime before their remainders modulo 10^6 + 3 are taken.


-----Examples-----
Input
3 2

Output
1 8
Input
1 3

Output
1 1
Input
4 3

Output
23 128


-----Note-----

In the first sample case, there are 2^3 = 8 days in Udayland. The probability that 2 people have the same birthday among 2 people is clearly $\frac{1}{8}$, so A = 1, B = 8.

In the second sample case, there are only 2^1 = 2 days in Udayland, but there are 3 people, so it is guaranteed that two of them have the same birthday. Thus, the probability is 1 and A = B = 1.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
It’s exam time in Mirko’s village. Everyone wants to pass the exam with as little effort as possible, which is not easy. Mirko realized that it would be best for him to find someone who knows more than him and learn from them. Everyone followed and now everyone is looking for someone to learn from. We can model how well a student is prepared for the exam with two integers, $A$ and $B.$ The number $A$ represents how well a student understands the subject, while the number $B$ is proportional to the quantity of their knowledge.

As the head of the village, Mirko decided that a student will ask another student for help only if that student has both numbers greater than or equal to the first student’s numbers (no student will ask someone who doesn’t understand the subject as well as themselves or who knows less). Additionally, students will try to minimize the difference in knowledge quantity (so that students don’t bother those that are way better). If this choice is not unique, they will try to minimize the difference in understanding.

Mirko’s village has recently become a very popular suburb and new students keep moving in (in time for the exam). With Mirko’s strict rules, they get confused about Mirko’s rules and don’t know where to go). They decided to ask a programmer from a neighbouring village for help.

-----Input-----
The first line of input contains an integer $N$ $(1 \le N \le 200000)$, the number of queries and arrivals in the village. Each of the following $N$ lines contains either:
 - "D $A$ $B$", a student has moved in whose knowledge is $A$ and $B$
 - "P $i$", the $i$-th student to move in wants to know whom to ask for help

The numbers $A$ and $B$ are between 1 and $2\cdot 10^9$. No two students have both numbers equal.

-----Output-----
For each query ("P $i$" line), output which student the $i$-th student should ask for help. The students are numbered in the order they moved into the village (starting from 1). If a student cannot be helped, output "NE".

-----Examples-----
Sample Input 1:
6
D 3 1
D 2 2
D 1 3
P 1
P 2
P 3
Sample Output 1:
NE
NE
NE

Sample Input 2:
6
D 8 8
D 2 4
D 5 6
P 2
D 6 2
P 4
Sample Output 2:
3
1

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Pixels in a digital picture can be represented with three integers in the range $0$ to $255$ that indicate the intensity of the red, green, and blue colors. To compress an image or to create an artistic effect, many photo-editing tools include a “posterize” operation which works as follows. Each color channel is examined separately; this problem focuses only on the red channel. Rather than allow all integers from $0$ to $255$ for the red channel, a posterized image allows at most $k$ integers from this range. Each pixel’s original red intensity is replaced with the nearest of the allowed integers. The photo-editing tool selects a set of $k$ integers that minimizes the sum of the squared errors introduced across all pixels in the original image. If there are $n$ pixels that have original red values $r_1, \ldots , r_ n$, and $k$ allowed integers $v_1, \ldots , v_ k$, the sum of squared errors is defined as\[ \sum _{i=1}^n \min _{1 \leq j \leq k} (r_ i - v_ j)^2. \]

Your task is to compute the minimum achievable sum of squared errors, given parameter $k$ and a description of the red intensities of an image’s pixels.

-----Input-----
The first line of the input contains two integers $d$ ($1 \leq d \leq 256$), the number of distinct red values that occur in the original image, and $k$ ($1 \leq k \leq d$), the number of distinct red values allowed in the posterized image. The remaining $d$ lines indicate the number of pixels of the image having various red values. Each such line contains two integers $r$ ($0 \leq r \leq 255$) and $p$ ($1 \leq p \leq 2^{26}$), where $r$ is a red intensity value and $p$ is the number of pixels having red intensity $r$. Those $d$ lines are given in increasing order of red value.

-----Output-----
Display the sum of the squared errors for an optimally chosen set of $k$ allowed integer values.

-----Examples-----
Sample Input 1:
2 1
50 20000
150 10000
Sample Output 1:
66670000

Sample Input 2:
2 2
50 20000
150 10000
Sample Output 2:
0

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Here you have to do some mathematical operations on a "dirty string". This kata checks some basics, it's not too difficult.


__So what to do?__

Input: String which consists of two positive numbers (doubles) and exactly one operator like `+, -, * or /` always between these numbers. The string is dirty, which means that there are different characters inside too, not only numbers and the operator. You have to combine all digits left and right, perhaps with "." inside (doubles), and to calculate the result which has to be rounded to an integer and converted to a string at the end.

### Easy example:

```
Input: "gdfgdf234dg54gf*23oP42"
Output: "54929268" (because 23454*2342=54929268)
```

First there are some static tests, later on random tests too...

### Hope you have fun! :-)

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Write a function getMean that takes as parameters an array (arr) and 2 integers (x and y). The function should return the mean between the mean of the the first x elements of the array and the mean of the last y elements of the array.

The mean should be computed if both x and y have values higher than 1 but less or equal to the array's length. Otherwise the function should return -1.

getMean([1,3,2,4], 2, 3) should return 2.5 because: the mean of the the first 2 elements of the array is (1+3)/2=2 and the mean of the last 3 elements of the array is (4+2+3)/3=3 so the mean of those 2 means is (2+3)/2=2.5.

getMean([1,3,2,4], 1, 2) should return -1 because x is not higher than 1.

getMean([1,3,2,4], 2, 8) should return -1 because 8 is higher than the array's length.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Soumika has a string S and its starting index is 1. The string S consists of characters from 1-9. As she is very intelligent, she wants to test his brother Vinay Tendulkar. She asked her brother Vinay Tendulkar to count the number of even numbered characters ( i.e  2,4,6,8 ) for every index i   (1 ≤  i  ≤ | S|). For an index i, the result should be calculated from i to the end of the string. As Vinay doesn't know  about programming, he wants you to help him find the solution.   

Input:
First line contains a string  S. 

Output:
Print |S| space-separated integers,the result of every index.

Constraints:
1 ≤ |S| ≤ 10^4

SAMPLE INPUT
574674546476

SAMPLE OUTPUT
7 7 7 6 5 5 4 4 3 2 1 1

Explanation

Given string S is 574674546476.
for index 1
Number of even numbers from 5 to end of the  string is 7 so the result of  index 1 is 7.
for index 2
Number of even numbers from 7 to end of the  string is 7  so the result of  index 2 is 7.
for index 3
Number of even numbers from 4 to end of the  string is 7 so the result of  index 3 is  7.
for index 3
Number of even numbers from 6 to end of the  string is  6 so the result of  index 4 is  6.....
...

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
There are infinitely many cards, numbered 1, 2, 3, ...
Initially, Cards x_1, x_2, ..., x_N are face up, and the others are face down.
Snuke can perform the following operation repeatedly:
 - Select a prime p greater than or equal to 3. Then, select p consecutive cards and flip all of them.
Snuke's objective is to have all the cards face down.
Find the minimum number of operations required to achieve the objective.

-----Constraints-----
 - 1 ≤ N ≤ 100
 - 1 ≤ x_1 < x_2 < ... < x_N ≤ 10^7

-----Input-----
Input is given from Standard Input in the following format:
N
x_1 x_2 ... x_N

-----Output-----
Print the minimum number of operations required to achieve the objective.

-----Sample Input-----
2
4 5

-----Sample Output-----
2

Below is one way to achieve the objective in two operations:
 - Select p = 5 and flip Cards 1, 2, 3, 4 and 5.
 - Select p = 3 and flip Cards 1, 2 and 3.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Little X has n distinct integers: p_1, p_2, ..., p_{n}. He wants to divide all of them into two sets A and B. The following two conditions must be satisfied:  If number x belongs to set A, then number a - x must also belong to set A.  If number x belongs to set B, then number b - x must also belong to set B. 

Help Little X divide the numbers into two sets or determine that it's impossible.


-----Input-----

The first line contains three space-separated integers n, a, b (1 ≤ n ≤ 10^5; 1 ≤ a, b ≤ 10^9). The next line contains n space-separated distinct integers p_1, p_2, ..., p_{n} (1 ≤ p_{i} ≤ 10^9).


-----Output-----

If there is a way to divide the numbers into two sets, then print "YES" in the first line. Then print n integers: b_1, b_2, ..., b_{n} (b_{i} equals either 0, or 1), describing the division. If b_{i} equals to 0, then p_{i} belongs to set A, otherwise it belongs to set B.

If it's impossible, print "NO" (without the quotes).


-----Examples-----
Input
4 5 9
2 3 4 5

Output
YES
0 0 1 1

Input
3 3 4
1 2 4

Output
NO



-----Note-----

It's OK if all the numbers are in the same set, and the other one is empty.

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

Time Limit: None seconds

Memory Limit: None megabytes

Problem Description:
A sum of *p* rubles is charged from Arkady's mobile phone account every day in the morning. Among the following *m* days, there are *n* days when Arkady will top up the account: in the day *d**i* he will deposit *t**i* rubles on his mobile phone account. Arkady will always top up the account before the daily payment will be done. There will be no other payments nor tops up in the following *m* days.

Determine the number of days starting from the 1-st to the *m*-th such that the account will have a negative amount on it after the daily payment (i. e. in evening). Initially the account's balance is zero rubles.

Input Specification:
The first line contains three integers *n*, *p* and *m* (1<=≤<=*n*<=≤<=100<=000, 1<=≤<=*p*<=≤<=109, 1<=≤<=*m*<=≤<=109, *n*<=≤<=*m*) — the number of days Arkady will top up the account, the amount of the daily payment, and the number of days you should check.

The *i*-th of the following *n* lines contains two integers *d**i* and *t**i* (1<=≤<=*d**i*<=≤<=*m*, 1<=≤<=*t**i*<=≤<=109) — the index of the day when Arkady will make the *i*-th top up, and the amount he will deposit on this day. It is guaranteed that the indices of the days are distinct and are given in increasing order, i. e. *d**i*<=&gt;<=*d**i*<=-<=1 for all *i* from 2 to *n*.

Output Specification:
Print the number of days from the 1-st to the *m*-th such that the account will have a negative amount on it after the daily payment.

Demo Input:
['3 6 7\n2 13\n4 20\n7 9\n', '5 4 100\n10 70\n15 76\n21 12\n30 100\n67 85\n']

Demo Output:
['3\n', '26\n']

Note:
In the first example the balance will change as following (remember, initially the balance is zero):
 1.  in the first day 6 rubles will be charged, the balance in the evening will be equal to  - 6; 1.  in the second day Arkady will deposit 13 rubles, then 6 rubles will be charged, the balance in the evening will be equal to 1; 1.  in the third day 6 rubles will be charged, the balance in the evening will be equal to  - 5; 1.  in the fourth day Arkady will deposit 20 rubles, then 6 rubles will be charged, the balance in the evening will be equal to 9; 1.  in the fifth day 6 rubles will be charged, the balance in the evening will be equal to 3; 1.  in the sixth day 6 rubles will be charged, the balance in the evening will be equal to  - 3; 1.  in the seventh day Arkady will deposit 9 rubles, then 6 rubles will be charged, the balance in the evening will be equal to 0. 
Thus, in the end of the first, third and sixth days the balance will be negative in the end of the day.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
The chef is trying to solve some pattern problems, Chef wants your help to code it. Chef has one number K to form a new pattern. Help the chef to code this pattern problem.

-----Input:-----
- First-line will contain $T$, the number of test cases. Then the test cases follow. 
- Each test case contains a single line of input, one integer $K$. 

-----Output:-----
For each test case, output as the pattern.

-----Constraints-----
- $1 \leq T \leq 50$
- $1 \leq K \leq 50$

-----Sample Input:-----
5
1
2
3
4
5

-----Sample Output:-----
*
*
***
*
* *
*****
*
* *
*   *
*******
*
* *
*   *
*     *
*********   

-----EXPLANATION:-----
No need, else pattern can be decode easily.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
A sequence of number is called arithmetic if it consists of at least three elements and if the difference between any two consecutive elements is the same.

For example, these are arithmetic sequence:
1, 3, 5, 7, 9
7, 7, 7, 7
3, -1, -5, -9

The following sequence is not arithmetic. 1, 1, 2, 5, 7 


A zero-indexed array A consisting of N numbers is given. A slice of that array is any pair of integers (P, Q) such that 0 

A slice (P, Q) of array A is called arithmetic if the sequence:
    A[P], A[p + 1], ..., A[Q - 1], A[Q] is arithmetic. In particular, this means that P + 1 < Q.

The function should return the number of arithmetic slices in the array A. 


Example:

A = [1, 2, 3, 4]

return: 3, for 3 arithmetic slices in A: [1, 2, 3], [2, 3, 4] and [1, 2, 3, 4] itself.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
One day Sasha visited the farmer 2D and his famous magnetic farm. On this farm, the crop grows due to the influence of a special magnetic field. Maintaining of the magnetic field is provided by $n$ machines, and the power of the $i$-th machine is $a_i$. 

This year 2D decided to cultivate a new culture, but what exactly he didn't say. For the successful growth of the new culture, it is necessary to slightly change the powers of the machines. 2D can at most once choose an arbitrary integer $x$, then choose one machine and reduce the power of its machine by $x$ times, and at the same time increase the power of one another machine by $x$ times (powers of all the machines must stay positive integers). Note that he may not do that if he wants. More formally, 2D can choose two such indices $i$ and $j$, and one integer $x$ such that $x$ is a divisor of $a_i$, and change powers as following: $a_i = \frac{a_i}{x}$, $a_j = a_j \cdot x$

Sasha is very curious, that's why he wants to calculate the minimum total power the farmer can reach. There are too many machines, and Sasha can't cope with computations, help him!


-----Input-----

The first line contains one integer $n$ ($2 \le n \le 5 \cdot 10^4$) — the number of machines.

The second line contains $n$ integers $a_1, a_2, \ldots, a_n$ ($1 \le a_i \le 100$) — the powers of the machines.


-----Output-----

Print one integer — minimum total power.


-----Examples-----
Input
5
1 2 3 4 5

Output
14

Input
4
4 2 4 4

Output
14

Input
5
2 4 2 3 7

Output
18



-----Note-----

In the first example, the farmer can reduce the power of the $4$-th machine by $2$ times, and increase the power of the $1$-st machine by $2$ times, then the powers will be: $[2, 2, 3, 2, 5]$.

In the second example, the farmer can reduce the power of the $3$-rd machine by $2$ times, and increase the power of the $2$-nd machine by $2$ times. At the same time, the farmer can leave is be as it is and the total power won't change.

In the third example, it is optimal to leave it be as it is.

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