vgel/INTELLECT-2-RL-Dataset-Code-Only huggingface dataset:
In a cricket game, an over is a set of six valid deliveries of balls performed by one player ― the bowler for this over.
Consider a cricket game with a series of $N$ overs (numbered $1$ through $N$) played by $K$ players (numbered $1$ through $K$). Each player may be the bowler for at most $L$ overs in total, but the same player may not be the bowler for any two consecutive overs. Assign exactly one bowler to each over in such a way that these rules are satisfied or determine that no such assignment exists.

-----Input-----
- The first line of the input contains a single integer $T$ denoting the number of test cases. The description of $T$ test cases follows.
- The first and only line of each test case contains three space-separated integers $N$, $K$ and $L$. 

-----Output-----
For each test case:
- If there is no valid assignment of bowlers to overs, print a single line containing the integer $-1$.
- Otherwise, print a single line containing $N$ space-separated integers. For each valid $i$, the $i$-th of these integers should be the number of the player assigned as the bowler for the $i$-th over.

-----Constraints-----
- $1 \le T \le 30$
- $1 \le N, K, L \le 10,000$

-----Example Input-----
2
4 3 2
5 4 1

-----Example Output-----
1 2 3 2
-1

-----Explanation-----
Example case 1: The following is a valid assignment:
- Bowler 1 bowls the $1$-st over.
- Bowler 2 bowls the $2$-nd and $4$-th overs.
- Bowler 3 bowls the $3$-rd over.
It is valid since no bowler bowls more than $2$ overs and each two consecutive overs have different bowlers.
Example case 2: There is no valid assignment in which each of $4$ players bowls at most $1$ over out of $5$.

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

Time Limit: None seconds

Memory Limit: None megabytes

Problem Description:
The semester is already ending, so Danil made an effort and decided to visit a lesson on harmony analysis to know how does the professor look like, at least. Danil was very bored on this lesson until the teacher gave the group a simple task: find 4 vectors in 4-dimensional space, such that every coordinate of every vector is 1 or <=-<=1 and any two vectors are orthogonal. Just as a reminder, two vectors in *n*-dimensional space are considered to be orthogonal if and only if their scalar product is equal to zero, that is: 

Danil quickly managed to come up with the solution for this problem and the teacher noticed that the problem can be solved in a more general case for 2*k* vectors in 2*k*-dimensinoal space. When Danil came home, he quickly came up with the solution for this problem. Can you cope with it?

Input Specification:
The only line of the input contains a single integer *k* (0<=≤<=*k*<=≤<=9).

Output Specification:
Print 2*k* lines consisting of 2*k* characters each. The *j*-th character of the *i*-th line must be equal to '<=*<=' if the *j*-th coordinate of the *i*-th vector is equal to <=-<=1, and must be equal to '<=+<=' if it's equal to <=+<=1. It's guaranteed that the answer always exists.

If there are many correct answers, print any.

Demo Input:
['2\n']

Demo Output:
['++**\n+*+*\n++++\n+**+']

Note:
Consider all scalar products in example:
 -  Vectors 1 and 2: ( + 1)·( + 1) + ( + 1)·( - 1) + ( - 1)·( + 1) + ( - 1)·( - 1) = 0 -  Vectors 1 and 3: ( + 1)·( + 1) + ( + 1)·( + 1) + ( - 1)·( + 1) + ( - 1)·( + 1) = 0 -  Vectors 1 and 4: ( + 1)·( + 1) + ( + 1)·( - 1) + ( - 1)·( - 1) + ( - 1)·( + 1) = 0 -  Vectors 2 and 3: ( + 1)·( + 1) + ( - 1)·( + 1) + ( + 1)·( + 1) + ( - 1)·( + 1) = 0 -  Vectors 2 and 4: ( + 1)·( + 1) + ( - 1)·( - 1) + ( + 1)·( - 1) + ( - 1)·( + 1) = 0 -  Vectors 3 and 4: ( + 1)·( + 1) + ( + 1)·( - 1) + ( + 1)·( - 1) + ( + 1)·( + 1) = 0

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

Time Limit: None seconds

Memory Limit: None megabytes

Problem Description:
Завтра у хоккейной команды, которой руководит Евгений, важный матч. Евгению нужно выбрать шесть игроков, которые выйдут на лед в стартовом составе: один вратарь, два защитника и три нападающих.

Так как это стартовый состав, Евгения больше волнует, насколько красива будет команда на льду, чем способности игроков. А именно, Евгений хочет выбрать такой стартовый состав, чтобы номера любых двух игроков из стартового состава отличались не более, чем в два раза. Например, игроки с номерами 13, 14, 10, 18, 15 и 20 устроят Евгения, а если, например, на лед выйдут игроки с номерами 8 и 17, то это не устроит Евгения.

Про каждого из игроков вам известно, на какой позиции он играет (вратарь, защитник или нападающий), а также его номер. В хоккее номера игроков не обязательно идут подряд. Посчитайте число различных стартовых составов из одного вратаря, двух защитников и трех нападающих, которые может выбрать Евгений, чтобы выполнялось его условие красоты.

Input Specification:
Первая строка содержит три целых числа *g*, *d* и *f* (1<=≤<=*g*<=≤<=1<=000, 1<=≤<=*d*<=≤<=1<=000, 1<=≤<=*f*<=≤<=1<=000) — число вратарей, защитников и нападающих в команде Евгения. 

Вторая строка содержит *g* целых чисел, каждое в пределах от 1 до 100<=000 — номера вратарей.

Третья строка содержит *d* целых чисел, каждое в пределах от 1 до 100<=000 — номера защитников.

Четвертая строка содержит *f* целых чисел, каждое в пределах от 1 до 100<=000 — номера нападающих.

Гарантируется, что общее количество игроков не превосходит 1<=000, т. е. *g*<=+<=*d*<=+<=*f*<=≤<=1<=000. Все *g*<=+<=*d*<=+<=*f* номеров игроков различны.

Output Specification:
Выведите одно целое число — количество возможных стартовых составов.

Demo Input:
['1 2 3\n15\n10 19\n20 11 13\n', '2 3 4\n16 40\n20 12 19\n13 21 11 10\n']

Demo Output:
['1\n', '6\n']

Note:
В первом примере всего один вариант для выбора состава, который удовлетворяет описанным условиям, поэтому ответ 1.

Во втором примере подходят следующие игровые сочетания (в порядке вратарь-защитник-защитник-нападающий-нападающий-нападающий):
 -  16 20 12 13 21 11 -  16 20 12 13 11 10 -  16 20 19 13 21 11 -  16 20 19 13 11 10 -  16 12 19 13 21 11 -  16 12 19 13 11 10 
Таким образом, ответ на этот пример — 6.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
An acrostic is a text in which the first letter of each line spells out a word. It is also a quick and cheap way of writing a poem for somebody, as exemplified below :



Write a program that reads an acrostic to identify the "hidden" word. Specifically, your program will receive a list of words (reprensenting an acrostic) and will need to return a string corresponding to the word that is spelled out by taking the first letter of each word in the acrostic.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Given a number N denoting candies. Find how many packets are needed to contain the number if 1st packet can contain 1 candy, 2nd packet can contain 2 candies, 3rd packet can contain 4 candies and so on.
Example 1:
Input:
N = 2
Output:
2
Explanation:
Put 1 candy in first packet.
Put 1 candy in second packet.
Thus two,packets are required.
Example 2:
Input:
N = 8
Output:
4
Explanation:
Put 1 candy in first packet.
Put 2 candies in second packet.
Put 4 candies in third packet.
Put 1 candy in fourth packet.
Thus 4 packets are required.
Your Task:
You don't need to read input or print anything.Your Task is to complete the function countPackets() which takes a number N as input parameter and returns the number of packets required to contain it.
Expected Time Complexity:O(logN)
Expected Auxillary Space:O(1)
Constraints:
1<= N <= 10^{18}

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Given a permutation of first n natural numbers as an array and an integer k. Print the lexicographically largest permutation after at most k swaps.
Example 1:
Input:
n=5
k=3
arr[] = {4, 5, 2, 1, 3}
Output: 5 4 3 2 1
Explanation: Swap 1^{st} and 2^{nd} elements: 5 4 2 1 3 
             Swap 3^{rd} and 5^{th} elements: 5 4 3 1 2 
             Swap 4^{th} and 5^{th} elements: 5 4 3 2 1 
Example 2:
Input:
n=3
k=1
arr[] = {2, 1, 3}
Output: 3 1 2
Explanation: Swap 1^{st} and 3^{re} elements: 3 1 2 
Your Task:
Since, this is a function problem. You don't need to take any input, as it is already accomplished by the driver code. You just need to complete the function KswapPermutation() that takes array arr, integer n and integer k as parameters and modifies the array arr and does not return anything.
 
Expected Time Complexity: O(n).
Expected Auxiliary Space: O(n).
Constraints:
2 ≤ n ≤ 10^{6}
1 ≤ k ≤ n

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
On the competitive programming platform CodeCook, every person has a rating graph described by an array of integers $a$ of length $n$. You are now updating the infrastructure, so you've created a program to compress these graphs.

The program works as follows. Given an integer parameter $k$, the program takes the minimum of each contiguous subarray of length $k$ in $a$.

More formally, for an array $a$ of length $n$ and an integer $k$, define the $k$-compression array of $a$ as an array $b$ of length $n-k+1$, such that $$b_j =\min_{j\le i\le j+k-1}a_i$$

For example, the $3$-compression array of $[1, 3, 4, 5, 2]$ is $[\min\{1, 3, 4\}, \min\{3, 4, 5\}, \min\{4, 5, 2\}]=[1, 3, 2].$

A permutation of length $m$ is an array consisting of $m$ distinct integers from $1$ to $m$ in arbitrary order. For example, $[2,3,1,5,4]$ is a permutation, but $[1,2,2]$ is not a permutation ($2$ appears twice in the array) and $[1,3,4]$ is also not a permutation ($m=3$ but there is $4$ in the array).

A $k$-compression array will make CodeCook users happy if it will be a permutation. Given an array $a$, determine for all $1\leq k\leq n$ if CodeCook users will be happy after a $k$-compression of this array or not.


-----Input-----

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

The first line of the description of each test case contains a single integer $n$ ($1\leq n\leq 3\cdot 10^5$) — the length of the array.

The second line of the description of each test case contains $n$ integers $a_1,\ldots,a_n$ ($1\leq a_i\leq n$) — the elements of the array.

It is guaranteed, that the sum of $n$ for all test cases does not exceed $3\cdot 10^5$.


-----Output-----

For each test case, print a binary string of length $n$.

The $k$-th character of the string should be $1$ if CodeCook users will be happy after a $k$-compression of the array $a$, and $0$ otherwise.


-----Examples-----

Input
5
5
1 5 3 4 2
4
1 3 2 1
5
1 3 3 3 2
10
1 2 3 4 5 6 7 8 9 10
3
3 3 2
Output
10111
0001
00111
1111111111
000


-----Note-----

In the first test case, $a=[1, 5, 3, 4, 2]$.

The $1$-compression of $a$ is $[1, 5, 3, 4, 2]$ and it is a permutation.

The $2$-compression of $a$ is $[1, 3, 3, 2]$ and it is not a permutation, since $3$ appears twice.

The $3$-compression of $a$ is $[1, 3, 2]$ and it is a permutation.

The $4$-compression of $a$ is $[1, 2]$ and it is a permutation.

The $5$-compression of $a$ is $[1]$ and it is a permutation.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Daenerys Targaryen has an army consisting of k groups of soldiers, the i-th group contains a_{i} soldiers. She wants to bring her army to the other side of the sea to get the Iron Throne. She has recently bought an airplane to carry her army through the sea. The airplane has n rows, each of them has 8 seats. We call two seats neighbor, if they are in the same row and in seats {1, 2}, {3, 4}, {4, 5}, {5, 6} or {7, 8}.

 [Image] A row in the airplane 

Daenerys Targaryen wants to place her army in the plane so that there are no two soldiers from different groups sitting on neighboring seats.

Your task is to determine if there is a possible arranging of her army in the airplane such that the condition above is satisfied.


-----Input-----

The first line contains two integers n and k (1 ≤ n ≤ 10000, 1 ≤ k ≤ 100) — the number of rows and the number of groups of soldiers, respectively.

The second line contains k integers a_1, a_2, a_3, ..., a_{k} (1 ≤ a_{i} ≤ 10000), where a_{i} denotes the number of soldiers in the i-th group.

It is guaranteed that a_1 + a_2 + ... + a_{k} ≤ 8·n.


-----Output-----

If we can place the soldiers in the airplane print "YES" (without quotes). Otherwise print "NO" (without quotes).

You can choose the case (lower or upper) for each letter arbitrary.


-----Examples-----
Input
2 2
5 8

Output
YES

Input
1 2
7 1

Output
NO

Input
1 2
4 4

Output
YES

Input
1 4
2 2 1 2

Output
YES



-----Note-----

In the first sample, Daenerys can place the soldiers like in the figure below:

 [Image] 

In the second sample, there is no way to place the soldiers in the plane since the second group soldier will always have a seat neighboring to someone from the first group.

In the third example Daenerys can place the first group on seats (1, 2, 7, 8), and the second group an all the remaining seats.

In the fourth example she can place the first two groups on seats (1, 2) and (7, 8), the third group on seats (3), and the fourth group on seats (5, 6).

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
In this Kata, you will be given directions and your task will be to find your way back. 
```Perl
solve(["Begin on Road A","Right on Road B","Right on Road C","Left on Road D"]) = ['Begin on Road D', 'Right on Road C', 'Left on Road B', 'Left on Road A']
solve(['Begin on Lua Pkwy', 'Right on Sixth Alley', 'Right on 1st Cr']) =  ['Begin on 1st Cr', 'Left on Sixth Alley', 'Left on Lua Pkwy']
```

More examples in test cases. 

Good luck!

Please also try [Simple remove duplicates](https://www.codewars.com/kata/5ba38ba180824a86850000f7)

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Yan and Fen have just accepted jobs in TechValley California allowing them to pursue their childhood dream of renting the most expensive apartment in the area.

Yan and Fen have decided that the rent of an apartment denoted $R$ is a function of its square footage $x$ and the number of smartbulbs $y$ it has. The cost of $1$ square foot is given by $a$ and the cost of $1$ smartbulb is given by $b$ and thus we have,\begin{equation*} R = ax + by \end{equation*}

Fortunately for the pair, TechValley California has no shortage of expensive apartments for rent. Unfortunately, there are some specific constraints on the apartment and the contents of the apartment that Yan and Fen must follow. First the square footage of the apartment and the number of smart bulbs must both be greater than or equal to $1$.\begin{align*} x & \geq 1\\ y & \geq 1 \end{align*}

Secondly, the square footage of the apartment plus the number of smartbulbs cannot exceed a specific $m$, you may assume that $m$ will always be an even integer.\begin{equation*} x + y \leq m \end{equation*}

Lastly, since both Yan and Fen need lots of outlets in their apartment to support all their electronics they will only look at apartments that have exactly $2$ outlets for each square foot of the house in addition to one outlet for each smartbulb with minimum of $\sigma $ outlets. You may assume that $\sigma $ will always be an even integer.\begin{equation*} 2x + y \geq \sigma \end{equation*}

Find the maximum rent of an apartment $R$ subject to these constraints

-----Input-----
The input consists of a single test case with two lines. The test case starts with two integers $a$ and $b$ ($0 \leq a, b < 100$), the price per square foot and price per smart bulb respectively. The next line consists of two integers $m$ and $\sigma $ ($0 < m, \sigma \leq 10^8$ and $m, \sigma $ are both even) the square footage and smartbulbs maximum and the minimum number of outlets respectively.

-----Output-----
Output a single line with the maximum value of $R$. Note that $R$ is guaranteed to be an integer and the input will be supplied such that there will always be a solution.

-----Examples-----
Sample Input:
3 1
12 16
Sample Output:
34

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Working from left-to-right if no digit is exceeded by the digit to its left it is called an increasing number; for example, 134468.

Similarly if no digit is exceeded by the digit to its right it is called a decreasing number; for example, 66420.

We shall call a positive integer that is neither increasing nor decreasing a "bouncy" number; for example, 155349.

Clearly there cannot be any bouncy numbers below one-hundred, but just over half of the numbers below one-thousand (525) are bouncy. In fact, the least number for which the proportion of bouncy numbers first reaches 50% is 538.

Surprisingly, bouncy numbers become more and more common and by the time we reach 21780 the proportion of bouncy numbers is equal to 90%.

#### Your Task

Complete the bouncyRatio function.

The input will be the target ratio.

The output should be the smallest number such that the proportion of bouncy numbers reaches the target ratio.

You should throw an Error for a ratio less than 0% or greater than 99%.

**Source**

  - https://projecteuler.net/problem=112
  
**Updates**

  - 26/10/2015: Added a higher precision test case.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Those days, many boys use beautiful girls' photos as avatars in forums. So it is pretty hard to tell the gender of a user at the first glance. Last year, our hero went to a forum and had a nice chat with a beauty (he thought so). After that they talked very often and eventually they became a couple in the network. 

But yesterday, he came to see "her" in the real world and found out "she" is actually a very strong man! Our hero is very sad and he is too tired to love again now. So he came up with a way to recognize users' genders by their user names.

This is his method: if the number of distinct characters in one's user name is odd, then he is a male, otherwise she is a female. You are given the string that denotes the user name, please help our hero to determine the gender of this user by his method.

Input

The first line contains a non-empty string, that contains only lowercase English letters — the user name. This string contains at most 100 letters.

Output

If it is a female by our hero's method, print "CHAT WITH HER!" (without the quotes), otherwise, print "IGNORE HIM!" (without the quotes).

Examples

Input

wjmzbmr


Output

CHAT WITH HER!


Input

xiaodao


Output

IGNORE HIM!


Input

sevenkplus


Output

CHAT WITH HER!

Note

For the first example. There are 6 distinct characters in "wjmzbmr". These characters are: "w", "j", "m", "z", "b", "r". So wjmzbmr is a female and you should print "CHAT WITH HER!".

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
You have $n$ barrels lined up in a row, numbered from left to right from one. Initially, the $i$-th barrel contains $a_i$ liters of water.

You can pour water from one barrel to another. In one act of pouring, you can choose two different barrels $x$ and $y$ (the $x$-th barrel shouldn't be empty) and pour any possible amount of water from barrel $x$ to barrel $y$ (possibly, all water). You may assume that barrels have infinite capacity, so you can pour any amount of water in each of them. 

Calculate the maximum possible difference between the maximum and the minimum amount of water in the barrels, if you can pour water at most $k$ times.

Some examples:   if you have four barrels, each containing $5$ liters of water, and $k = 1$, you may pour $5$ liters from the second barrel into the fourth, so the amounts of water in the barrels are $[5, 0, 5, 10]$, and the difference between the maximum and the minimum is $10$;  if all barrels are empty, you can't make any operation, so the difference between the maximum and the minimum amount is still $0$. 


-----Input-----

The first line contains one integer $t$ ($1 \le t \le 1000$) — the number of test cases.

The first line of each test case contains two integers $n$ and $k$ ($1 \le k < n \le 2 \cdot 10^5$) — the number of barrels and the number of pourings you can make.

The second line contains $n$ integers $a_1, a_2, \dots, a_n$ ($0 \le a_i \le 10^{9}$), where $a_i$ is the initial amount of water the $i$-th barrel has.

It's guaranteed that the total sum of $n$ over test cases doesn't exceed $2 \cdot 10^5$.


-----Output-----

For each test case, print the maximum possible difference between the maximum and the minimum amount of water in the barrels, if you can pour water at most $k$ times.


-----Example-----
Input
2
4 1
5 5 5 5
3 2
0 0 0

Output
10
0

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Snakeland is a well organised city. The houses of the city are organised in an orderly rectangular fashion with dimensions 2 * n, i.e. there are total two rows and n columns. The house in the i-th row and j-th column is also said to be the house at coordinates (i, j). Some of the houses are occupied by snakes, while the others are empty. You are given this information through an array s of dimension 2 * n, where, if s[i][j] = '*', it denotes that there is a snake in the house at coordinates (i, j), and if s[i][j] = '.', it denotes that the house is empty. 
These snakes are planning a coup against a mongoose who controls their city from outside. So, they are trying their best to meet with other snakes and spread information about the date of the coup. For spreading this information, they can just hiss from their house and usually their hiss is so loud that it will be heard in all the cells except if there is a soundproof fence built that cuts the voice. Note that the external borders of Snakeland are already built of soundproof material. The mongoose got to know about the plan, and he wants to construct sound proof fences along the borders of the houses so that no two people should be able to communicate with each other. The fence can be either vertical or horizontal.  Each fence can be of any length, but the mongoose wants to minimize the number of fences to be built. Find out the minimum number of fences that the mongoose should build.

-----Input-----
The first line of the input contains an integer T denoting number of test cases. The descriptions of the T test cases follow.
The first line of each test case contains a single integer, n.
Each of the next two lines contains n characters denoting the first and the second rows of Snakeland respectively.

-----Output-----
For each test case, output a single integer corresponding to the minimum number of fences that the mongoose needs to build.

-----Constraints-----
- 1 ≤ T ≤ 10
- 1 ≤ n ≤ 105

-----Example-----
Input
3
2
**
**
3
***
*..
3
*..
.*.

Output
2
3
1

-----Explanation-----
All the examples are shown in the pictures. The fences built are shown by red colored horizontal or vertical segments. You can see that after putting these borders no snake can talk with any another snake.

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