vgel/INTELLECT-2-RL-Dataset-Code-Only huggingface dataset:
Write a function ```x(n)``` that takes in a number ```n``` and returns an ```nxn``` array with an ```X``` in the middle. The ```X``` will be represented by ```1's``` and the rest will be ```0's```. 
E.g.
```python
x(5) ==  [[1, 0, 0, 0, 1],
          [0, 1, 0, 1, 0],
          [0, 0, 1, 0, 0],
          [0, 1, 0, 1, 0],
          [1, 0, 0, 0, 1]];
          
x(6) ==  [[1, 0, 0, 0, 0, 1],
          [0, 1, 0, 0, 1, 0],
          [0, 0, 1, 1, 0, 0],
          [0, 0, 1, 1, 0, 0],
          [0, 1, 0, 0, 1, 0],
          [1, 0, 0, 0, 0, 1]];
```

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Vasily exited from a store and now he wants to recheck the total price of all purchases in his bill. The bill is a string in which the names of the purchases and their prices are printed in a row without any spaces. Check has the format "name_1price_1name_2price_2...name_{n}price_{n}", where name_{i} (name of the i-th purchase) is a non-empty string of length not more than 10, consisting of lowercase English letters, and price_{i} (the price of the i-th purchase) is a non-empty string, consisting of digits and dots (decimal points). It is possible that purchases with equal names have different prices.

The price of each purchase is written in the following format. If the price is an integer number of dollars then cents are not written.

Otherwise, after the number of dollars a dot (decimal point) is written followed by cents in a two-digit format (if number of cents is between 1 and 9 inclusively, there is a leading zero).

Also, every three digits (from less significant to the most) in dollars are separated by dot (decimal point). No extra leading zeroes are allowed. The price always starts with a digit and ends with a digit.

For example:  "234", "1.544", "149.431.10", "0.99" and "123.05" are valid prices,  ".333", "3.33.11", "12.00", ".33", "0.1234" and "1.2" are not valid. 

Write a program that will find the total price of all purchases in the given bill.


-----Input-----

The only line of the input contains a non-empty string s with length not greater than 1000 — the content of the bill.

It is guaranteed that the bill meets the format described above. It is guaranteed that each price in the bill is not less than one cent and not greater than 10^6 dollars.


-----Output-----

Print the total price exactly in the same format as prices given in the input.


-----Examples-----
Input
chipsy48.32televizor12.390

Output
12.438.32

Input
a1b2c3.38

Output
6.38

Input
aa0.01t0.03

Output
0.04

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

Time Limit: None seconds

Memory Limit: None megabytes

Problem Description:
A rare article in the Internet is posted without a possibility to comment it. On a Polycarp's website each article has comments feed.

Each comment on Polycarp's website is a non-empty string consisting of uppercase and lowercase letters of English alphabet. Comments have tree-like structure, that means each comment except root comments (comments of the highest level) has exactly one parent comment.

When Polycarp wants to save comments to his hard drive he uses the following format. Each comment he writes in the following format: 
 -  at first, the text of the comment is written; -  after that the number of comments is written, for which this comment is a parent comment (i. e. the number of the replies to this comments); -  after that the comments for which this comment is a parent comment are written (the writing of these comments uses the same algorithm). 
For example, if the comments look like:

then the first comment is written as "hello,2,ok,0,bye,0", the second is written as "test,0", the third comment is written as "one,1,two,2,a,0,b,0". The whole comments feed is written as: "hello,2,ok,0,bye,0,test,0,one,1,two,2,a,0,b,0". For a given comments feed in the format specified above print the comments in a different format: 
 -  at first, print a integer *d* — the maximum depth of nesting comments; -  after that print *d* lines, the *i*-th of them corresponds to nesting level *i*; -  for the *i*-th row print comments of nesting level *i* in the order of their appearance in the Policarp's comments feed, separated by space.

Input Specification:
The first line contains non-empty comments feed in the described format. It consists of uppercase and lowercase letters of English alphabet, digits and commas. 

It is guaranteed that each comment is a non-empty string consisting of uppercase and lowercase English characters. Each of the number of comments is integer (consisting of at least one digit), and either equals 0 or does not contain leading zeros.

The length of the whole string does not exceed 106. It is guaranteed that given structure of comments is valid.

Output Specification:
Print comments in a format that is given in the statement. For each level of nesting, comments should be printed in the order they are given in the input.

Demo Input:
['hello,2,ok,0,bye,0,test,0,one,1,two,2,a,0,b,0\n', 'a,5,A,0,a,0,A,0,a,0,A,0\n', 'A,3,B,2,C,0,D,1,E,0,F,1,G,0,H,1,I,1,J,0,K,1,L,0,M,2,N,0,O,1,P,0\n']

Demo Output:
['3\nhello test one \nok bye two \na b \n', '2\na \nA a A a A \n', '4\nA K M \nB F H L N O \nC D G I P \nE J \n']

Note:
The first example is explained in the statements.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Title: Rotate, Flip and Zoom

Time Limit: None seconds

Memory Limit: None megabytes

Problem Description:
Polycarp is writing the prototype of a graphic editor. He has already made up his mind that the basic image transformations in his editor will be: rotate the image 90 degrees clockwise, flip the image horizontally (symmetry relative to the vertical line, that is, the right part of the image moves to the left, and vice versa) and zooming on the image. He is sure that that there is a large number of transformations that can be expressed through these three.

He has recently stopped implementing all three transformations for monochrome images. To test this feature, he asked you to write a code that will consecutively perform three actions with a monochrome image: first it will rotate the image 90 degrees clockwise, then it will flip the image horizontally and finally, it will zoom in twice on the image (that is, it will double all the linear sizes).

Implement this feature to help Polycarp test his editor.

Input Specification:
The first line contains two integers, *w* and *h* (1<=≤<=*w*,<=*h*<=≤<=100) — the width and height of an image in pixels. The picture is given in *h* lines, each line contains *w* characters — each character encodes the color of the corresponding pixel of the image. The line consists only of characters "." and "*", as the image is monochrome.

Output Specification:
Print 2*w* lines, each containing 2*h* characters — the result of consecutive implementing of the three transformations, described above.

Demo Input:
['3 2\n.*.\n.*.\n', '9 20\n**.......\n****.....\n******...\n*******..\n..******.\n....****.\n......***\n*.....***\n*********\n*********\n*********\n*********\n....**...\n...****..\n..******.\n.********\n****..***\n***...***\n**.....**\n*.......*\n']

Demo Output:
['....\n....\n****\n****\n....\n....\n', '********......**********........********\n********......**********........********\n********........********......********..\n********........********......********..\n..********......********....********....\n..********......********....********....\n..********......********..********......\n..********......********..********......\n....********....****************........\n....********....****************........\n....********....****************........\n....********....****************........\n......******************..**********....\n......******************..**********....\n........****************....**********..\n........****************....**********..\n............************......**********\n............************......**********\n']

Note:
none

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Once Bob decided to lay a parquet floor in his living room. The living room is of size n × m metres. Bob had planks of three types: a planks 1 × 2 meters, b planks 2 × 1 meters, and c planks 2 × 2 meters. Help Bob find out, if it is possible to parquet the living room with such a set of planks, and if it is possible, find one of the possible ways to do so. Bob doesn't have to use all the planks.

Input

The first input line contains 5 space-separated integer numbers n, m, a, b, c (1 ≤ n, m ≤ 100, 0 ≤ a, b, c ≤ 104), n and m — the living room dimensions, a, b and c — amount of planks 1 × 2, 2 × 1 и 2 × 2 respectively. It's not allowed to turn the planks.

Output

If it is not possible to parquet the room with such a set of planks, output IMPOSSIBLE. Otherwise output one of the possible ways to parquet the room — output n lines with m lower-case Latin letters each. Two squares with common sides should contain the same letters, if they belong to one and the same plank, and different letters otherwise. Different planks can be marked with one and the same letter (see examples). If the answer is not unique, output any.

Examples

Input

2 6 2 2 1


Output

aabcca
aabdda


Input

1 1 100 100 100


Output

IMPOSSIBLE


Input

4 4 10 10 10


Output

aabb
aabb
bbaa
bbaa

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Slime has a sequence of positive integers $a_1, a_2, \ldots, a_n$.

In one operation Orac can choose an arbitrary subsegment $[l \ldots r]$ of this sequence and replace all values $a_l, a_{l + 1}, \ldots, a_r$ to the value of median of $\{a_l, a_{l + 1}, \ldots, a_r\}$.

In this problem, for the integer multiset $s$, the median of $s$ is equal to the $\lfloor \frac{|s|+1}{2}\rfloor$-th smallest number in it. For example, the median of $\{1,4,4,6,5\}$ is $4$, and the median of $\{1,7,5,8\}$ is $5$.

Slime wants Orac to make $a_1 = a_2 = \ldots = a_n = k$ using these operations.

Orac thinks that it is impossible, and he does not want to waste his time, so he decided to ask you if it is possible to satisfy the Slime's requirement, he may ask you these questions several times.


-----Input-----

The first line of the input is a single integer $t$: the number of queries.

The first line of each query contains two integers $n\ (1\le n\le 100\,000)$ and $k\ (1\le k\le 10^9)$, the second line contains $n$ positive integers $a_1,a_2,\dots,a_n\ (1\le a_i\le 10^9)$

The total sum of $n$ is at most $100\,000$.


-----Output-----

The output should contain $t$ lines. The $i$-th line should be equal to 'yes' if it is possible to make all integers $k$ in some number of operations or 'no', otherwise. You can print each letter in lowercase or uppercase.


-----Example-----
Input
5
5 3
1 5 2 6 1
1 6
6
3 2
1 2 3
4 3
3 1 2 3
10 3
1 2 3 4 5 6 7 8 9 10

Output
no
yes
yes
no
yes



-----Note-----

In the first query, Orac can't turn all elements into $3$.

In the second query, $a_1=6$ is already satisfied.

In the third query, Orac can select the complete array and turn all elements into $2$.

In the fourth query, Orac can't turn all elements into $3$.

In the fifth query, Orac can select $[1,6]$ at first and then select $[2,10]$.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Gennady owns a small hotel in the countryside where he lives a peaceful life. He loves to take long walks, watch sunsets and play cards with tourists staying in his hotel. His favorite game is called "Mau-Mau".

To play Mau-Mau, you need a pack of $52$ cards. Each card has a suit (Diamonds — D, Clubs — C, Spades — S, or Hearts — H), and a rank (2, 3, 4, 5, 6, 7, 8, 9, T, J, Q, K, or A).

At the start of the game, there is one card on the table and you have five cards in your hand. You can play a card from your hand if and only if it has the same rank or the same suit as the card on the table.

In order to check if you'd be a good playing partner, Gennady has prepared a task for you. Given the card on the table and five cards in your hand, check if you can play at least one card.


-----Input-----

The first line of the input contains one string which describes the card on the table. The second line contains five strings which describe the cards in your hand.

Each string is two characters long. The first character denotes the rank and belongs to the set $\{{\tt 2}, {\tt 3}, {\tt 4}, {\tt 5}, {\tt 6}, {\tt 7}, {\tt 8}, {\tt 9}, {\tt T}, {\tt J}, {\tt Q}, {\tt K}, {\tt A}\}$. The second character denotes the suit and belongs to the set $\{{\tt D}, {\tt C}, {\tt S}, {\tt H}\}$.

All the cards in the input are different.


-----Output-----

If it is possible to play a card from your hand, print one word "YES". Otherwise, print "NO".

You can print each letter in any case (upper or lower).


-----Examples-----
Input
AS
2H 4C TH JH AD

Output
YES

Input
2H
3D 4C AC KD AS

Output
NO

Input
4D
AS AC AD AH 5H

Output
YES



-----Note-----

In the first example, there is an Ace of Spades (AS) on the table. You can play an Ace of Diamonds (AD) because both of them are Aces.

In the second example, you cannot play any card.

In the third example, you can play an Ace of Diamonds (AD) because it has the same suit as a Four of Diamonds (4D), which lies on the table.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
You are given an array $a$ consisting of $n$ integers. Each $a_i$ is one of the six following numbers: $4, 8, 15, 16, 23, 42$.

Your task is to remove the minimum number of elements to make this array good.

An array of length $k$ is called good if $k$ is divisible by $6$ and it is possible to split it into $\frac{k}{6}$ subsequences $4, 8, 15, 16, 23, 42$.

Examples of good arrays:  $[4, 8, 15, 16, 23, 42]$ (the whole array is a required sequence);  $[4, 8, 4, 15, 16, 8, 23, 15, 16, 42, 23, 42]$ (the first sequence is formed from first, second, fourth, fifth, seventh and tenth elements and the second one is formed from remaining elements);  $[]$ (the empty array is good). 

Examples of bad arrays:   $[4, 8, 15, 16, 42, 23]$ (the order of elements should be exactly $4, 8, 15, 16, 23, 42$);  $[4, 8, 15, 16, 23, 42, 4]$ (the length of the array is not divisible by $6$);  $[4, 8, 15, 16, 23, 42, 4, 8, 15, 16, 23, 23]$ (the first sequence can be formed from first six elements but the remaining array cannot form the required sequence). 


-----Input-----

The first line of the input contains one integer $n$ ($1 \le n \le 5 \cdot 10^5$) — the number of elements in $a$.

The second line of the input contains $n$ integers $a_1, a_2, \dots, a_n$ (each $a_i$ is one of the following numbers: $4, 8, 15, 16, 23, 42$), where $a_i$ is the $i$-th element of $a$.


-----Output-----

Print one integer — the minimum number of elements you have to remove to obtain a good array.


-----Examples-----
Input
5
4 8 15 16 23

Output
5

Input
12
4 8 4 15 16 8 23 15 16 42 23 42

Output
0

Input
15
4 8 4 8 15 16 8 16 23 15 16 4 42 23 42

Output
3

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Alice and Bob are playing a game on a matrix, consisting of $2$ rows and $m$ columns. The cell in the $i$-th row in the $j$-th column contains $a_{i, j}$ coins in it.

Initially, both Alice and Bob are standing in a cell $(1, 1)$. They are going to perform a sequence of moves to reach a cell $(2, m)$.

The possible moves are:

Move right — from some cell $(x, y)$ to $(x, y + 1)$;

Move down — from some cell $(x, y)$ to $(x + 1, y)$.

First, Alice makes all her moves until she reaches $(2, m)$. She collects the coins in all cells she visit (including the starting cell).

When Alice finishes, Bob starts his journey. He also performs the moves to reach $(2, m)$ and collects the coins in all cells that he visited, but Alice didn't.

The score of the game is the total number of coins Bob collects.

Alice wants to minimize the score. Bob wants to maximize the score. What will the score of the game be if both players play optimally?


-----Input-----

The first line contains a single integer $t$ ($1 \le t \le 10^4$) — the number of testcases.

Then the descriptions of $t$ testcases follow.

The first line of the testcase contains a single integer $m$ ($1 \le m \le 10^5$) — the number of columns of the matrix.

The $i$-th of the next $2$ lines contain $m$ integers $a_{i,1}, a_{i,2}, \dots, a_{i,m}$ ($1 \le a_{i,j} \le 10^4$) — the number of coins in the cell in the $i$-th row in the $j$-th column of the matrix.

The sum of $m$ over all testcases doesn't exceed $10^5$.


-----Output-----

For each testcase print a single integer — the score of the game if both players play optimally.


-----Examples-----

Input
3
3
1 3 7
3 5 1
3
1 3 9
3 5 1
1
4
7
Output
7
8
0


-----Note-----

The paths for the testcases are shown on the following pictures. Alice's path is depicted in red and Bob's path is depicted in blue.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
You play a computer game. Your character stands on some level of a multilevel ice cave. In order to move on forward, you need to descend one level lower and the only way to do this is to fall through the ice.

The level of the cave where you are is a rectangular square grid of n rows and m columns. Each cell consists either from intact or from cracked ice. From each cell you can move to cells that are side-adjacent with yours (due to some limitations of the game engine you cannot make jumps on the same place, i.e. jump from a cell to itself). If you move to the cell with cracked ice, then your character falls down through it and if you move to the cell with intact ice, then the ice on this cell becomes cracked.

Let's number the rows with integers from 1 to n from top to bottom and the columns with integers from 1 to m from left to right. Let's denote a cell on the intersection of the r-th row and the c-th column as (r, c). 

You are staying in the cell (r_1, c_1) and this cell is cracked because you've just fallen here from a higher level. You need to fall down through the cell (r_2, c_2) since the exit to the next level is there. Can you do this?


-----Input-----

The first line contains two integers, n and m (1 ≤ n, m ≤ 500) — the number of rows and columns in the cave description.

Each of the next n lines describes the initial state of the level of the cave, each line consists of m characters "." (that is, intact ice) and "X" (cracked ice).

The next line contains two integers, r_1 and c_1 (1 ≤ r_1 ≤ n, 1 ≤ c_1 ≤ m) — your initial coordinates. It is guaranteed that the description of the cave contains character 'X' in cell (r_1, c_1), that is, the ice on the starting cell is initially cracked.

The next line contains two integers r_2 and c_2 (1 ≤ r_2 ≤ n, 1 ≤ c_2 ≤ m) — the coordinates of the cell through which you need to fall. The final cell may coincide with the starting one.


-----Output-----

If you can reach the destination, print 'YES', otherwise print 'NO'.


-----Examples-----
Input
4 6
X...XX
...XX.
.X..X.
......
1 6
2 2

Output
YES

Input
5 4
.X..
...X
X.X.
....
.XX.
5 3
1 1

Output
NO

Input
4 7
..X.XX.
.XX..X.
X...X..
X......
2 2
1 6

Output
YES



-----Note-----

In the first sample test one possible path is:

[Image]

After the first visit of cell (2, 2) the ice on it cracks and when you step there for the second time, your character falls through the ice as intended.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Given a sorted circular linked list, the task is to insert a new node in this circular list so that it remains a sorted circular linked list.
Example 1:
Input:
LinkedList = 1->2->4
(the first and last node is connected,
i.e. 4 --> 1)
data = 2
Output: 1 2 2 4
Example 2:
Input:
LinkedList = 1->4->7->9
(the first and last node is connected,
i.e. 9 --> 1)
data = 5
Output: 1 4 5 7 9
Your Task:
The task is to complete the function sortedInsert() which should insert the new node into the given circular linked list and return the head of the linkedlist.
Expected Time Complexity: O(N)
Expected Auxiliary Space: O(1)
Constraints:
0 <= N <= 10^{5}

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
We have a grid with H rows and W columns. At first, all cells were painted white.
Snuke painted N of these cells. The i-th ( 1 \leq i \leq N ) cell he painted is the cell at the a_i-th row and b_i-th column.
Compute the following:
 - For each integer j ( 0 \leq j \leq 9 ), how many subrectangles of size 3×3 of the grid contains exactly j black cells, after Snuke painted N cells?

-----Constraints-----
 - 3 \leq H \leq 10^9
 - 3 \leq W \leq 10^9
 - 0 \leq N \leq min(10^5,H×W)
 - 1 \leq a_i \leq H (1 \leq i \leq N)
 - 1 \leq b_i \leq W (1 \leq i \leq N)
 - (a_i, b_i) \neq (a_j, b_j) (i \neq j)

-----Input-----
The input is given from Standard Input in the following format:
H W N
a_1 b_1
:
a_N b_N

-----Output-----
Print 10 lines.
The (j+1)-th ( 0 \leq j \leq 9 ) line should contain the number of the subrectangles of size 3×3 of the grid that contains exactly j black cells.

-----Sample Input-----
4 5 8
1 1
1 4
1 5
2 3
3 1
3 2
3 4
4 4

-----Sample Output-----
0
0
0
2
4
0
0
0
0
0


There are six subrectangles of size 3×3. Two of them contain three black cells each, and the remaining four contain four black cells each.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Title: Lightsabers (easy)

Time Limit: None seconds

Memory Limit: None megabytes

Problem Description:
There is unrest in the Galactic Senate. Several thousand solar systems have declared their intentions to leave the Republic. Master Heidi needs to select the Jedi Knights who will go on peacekeeping missions throughout the galaxy. It is well-known that the success of any peacekeeping mission depends on the colors of the lightsabers of the Jedi who will go on that mission. 

Heidi has *n* Jedi Knights standing in front of her, each one with a lightsaber of one of *m* possible colors. She knows that for the mission to be the most effective, she needs to select some contiguous interval of knights such that there are exactly *k*1 knights with lightsabers of the first color, *k*2 knights with lightsabers of the second color, ..., *k**m* knights with lightsabers of the *m*-th color. Help her find out if this is possible.

Input Specification:
The first line of the input contains *n* (1<=≤<=*n*<=≤<=100) and *m* (1<=≤<=*m*<=≤<=*n*). The second line contains *n* integers in the range {1,<=2,<=...,<=*m*} representing colors of the lightsabers of the subsequent Jedi Knights. The third line contains *m* integers *k*1,<=*k*2,<=...,<=*k**m* (with ) – the desired counts of lightsabers of each color from 1 to *m*.

Output Specification:
Output YES if an interval with prescribed color counts exists, or output NO if there is none.

Demo Input:
['5 2\n1 1 2 2 1\n1 2\n']

Demo Output:
['YES\n']

Note:
none

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
A word or a sentence in some language is called a pangram if all the characters of the alphabet of this language appear in it at least once. Pangrams are often used to demonstrate fonts in printing or test the output devices.

You are given a string consisting of lowercase and uppercase Latin letters. Check whether this string is a pangram. We say that the string contains a letter of the Latin alphabet if this letter occurs in the string in uppercase or lowercase.


-----Input-----

The first line contains a single integer n (1 ≤ n ≤ 100) — the number of characters in the string.

The second line contains the string. The string consists only of uppercase and lowercase Latin letters.


-----Output-----

Output "YES", if the string is a pangram and "NO" otherwise.


-----Examples-----
Input
12
toosmallword

Output
NO

Input
35
TheQuickBrownFoxJumpsOverTheLazyDog

Output
YES

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