vgel/INTELLECT-2-RL-Dataset-Code-Only huggingface dataset:
Title: Lefthanders and Righthanders 

Time Limit: None seconds

Memory Limit: None megabytes

Problem Description:
One fine October day a mathematics teacher Vasily Petrov went to a class and saw there *n* pupils who sat at the  desks, two people at each desk. Vasily quickly realized that number *n* is even. Like all true mathematicians, Vasily has all students numbered from 1 to *n*.

But Vasily Petrov did not like the way the children were seated at the desks. According to him, the students whose numbers differ by 1, can not sit together, as they talk to each other all the time, distract others and misbehave.

On the other hand, if a righthanded student sits at the left end of the desk and a lefthanded student sits at the right end of the desk, they hit elbows all the time and distract each other. In other cases, the students who sit at the same desk, do not interfere with each other.

Vasily knows very well which students are lefthanders and which ones are righthanders, and he asks you to come up with any order that meets these two uncomplicated conditions (students do not talk to each other and do not bump their elbows). It is guaranteed that the input is such that at least one way to seat the students always exists.

Input Specification:
The first input line contains a single even integer *n* (4<=≤<=*n*<=≤<=100) — the number of students in the class. The second line contains exactly *n* capital English letters "L" and "R". If the *i*-th letter at the second line equals "L", then the student number *i* is a lefthander, otherwise he is a righthander.

Output Specification:
Print  integer pairs, one pair per line. In the *i*-th line print the numbers of students that will sit at the *i*-th desk. The first number in the pair stands for the student who is sitting to the left, and the second number stands for the student who is sitting to the right. Separate the numbers in the pairs by spaces. If there are multiple solutions, print any of them.

Demo Input:
['6\nLLRLLL\n', '4\nRRLL\n']

Demo Output:
['1 4\n2 5\n6 3\n', '3 1\n4 2\n']

Note:
none

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
There is a class of N students and the task is to find the top K marks scorers. You need to print the index of the toppers of the class which will be same as the index of the student in the input array (use 0-based indexing). First print the index of the students having highest marks then the students with second highest and so on. If there are more than one students having same marks then print their indices in ascending order.Suppose k = 2 and the students having highest marks have indices 0 and 5 and students having second highest marks have indices 6 and 7 then output will be 0 5 6 7.
Example 1:
Input:
N=5 K=3
arr[] = { 2, 2, 1, 3, 1 }
Output: 3 0 1 2 4
Explanation: Topper with 3 marks is present 
at 3rd index, 2 marks is present at 0^{th} 
index and next at 1^{st} index. 1 marks is present 
at 2 and 4.
Example 2:
Input:
N=4 K=1
arr[] = { 1, 2, 3, 4 } 
Output: 3
Explanation: The highest marks is at index 3.
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 kTop() that takes array A and integer N as parameters and change the given array according to the given conditions. You do not have to return anything
 
Expected Time Complexity: O(NlogN).
Expected Auxiliary Space: O(1).
 
Constraints:
1 ≤ N ≤ 10^{6}
1 ≤ M ≤ 10^{6}

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
The Little Girl loves problems on games very much. Here's one of them.

Two players have got a string s, consisting of lowercase English letters. They play a game that is described by the following rules:

  * The players move in turns; In one move the player can remove an arbitrary letter from string s. 
  * If the player before his turn can reorder the letters in string s so as to get a palindrome, this player wins. A palindrome is a string that reads the same both ways (from left to right, and vice versa). For example, string "abba" is a palindrome and string "abc" isn't. 



Determine which player will win, provided that both sides play optimally well — the one who moves first or the one who moves second.

Input

The input contains a single line, containing string s (1 ≤ |s| ≤ 103). String s consists of lowercase English letters.

Output

In a single line print word "First" if the first player wins (provided that both players play optimally well). Otherwise, print word "Second". Print the words without the quotes.

Examples

Input

aba


Output

First


Input

abca


Output

Second

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Although we imagine interplanetary probes to be very sophisticated pieces of technology, their information systems are quite archaic. You might assume that they have a certain amount of contiguous main memory and can store their data wherever is convenient, but unfortunately that is not the case. The probe’s main memory is organised in a number of FIFO (first-in-first-out) queues. In such a queue, data has to be taken out of the queue in the same order as it has been added to it.

A probe has multiple sensors and each sensor is linked to one of the queues. Whenever a sensor finishes recording, it appends the generated data to its queue. A sensor can write data to the queue only if the queue has enough space left to take all the data; if not, the data is lost.

In order to transfer data from the probe to Earth (in a process called downlinking), the path between the satellite and Earth must not be blocked by anything (e.g. a planet like Jupiter) and the antenna must be correctly positioned. During each downlink opportunity, data can be taken from multiple queues and transmitted back to Earth. The total amount of data that can be transmitted during a downlink opportunity depends on the length of the downlink opportunity and distance to Earth. Sensors do not collect data during downlink opportunities, since all electricity available is devoted to the transmitter.

The most important thing for scientists is not to lose any data recorded by sensors. In particular, all queues have to be empty after the last downlink opportunity. The scientists have asked you to write a program to determine whether all data can be transferred to Earth in a given time frame.

-----Input-----
 - one line containing three positive integers $n,q,s$ ($1\leq n,q \leq 30$, $1 \leq s \leq 100$), the number of downlink windows, FIFO queues, and sensors, respectively.
 - one line with $s$ integers $q_1 \ldots q_ s$ ($1 \leq q_ i \leq q$ for each $i$), determining for each sensor the queue it feeds its data into.
 - one line with $q$ integers $c_1 \ldots c_ q$ ($1 \leq c_ i \leq 10^6$ for each $i$), determining for each queue the size of the queue in megabytes.
 - $n$ lines, each describing one downlink window. Each contains $s + 1$ non-negative integers.
 - The first integer $d$ ($1 \leq d \leq 10^6$) states the number of megabytes that can be transferred to earth during the window.
 - The following $s$ numbers $a_1 \ldots a_ s$ ($0 \leq a_ i \leq 10^6$ for each $i$) describing the amount of data (in megabytes) generated by each of the sensors after the last but before this downlink window.

There will never be new data during a downlink window.

-----Output-----
Output “possible” if it is possible to transfer all data to Earth, and “impossible” otherwise.

-----Examples-----
Sample Input:
2 2 2
1 2
3 3
5 2 2
5 2 2
Sample Output:
possible

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Ram has to pay Shyam R rupees and but the coins which he has got is of limited denomination .Assuming he has a limited knowledge of the mathematics and has unlimited number of coins of each denomination.Write a code to help Ram to pay the money using minimum number of coins .Suppose Ram has coins of {1,2} denomination then the best way to pay 8 rupees is 2+2+2+2 that means using 4 coins.
Input:
Money to be paid
{array containing denominations available}
Output 
Coins corresponding to each denomination and number of coins needed(ascending denomination)
or print ERROR in other cases

SAMPLE INPUT
24
{1,7,3}

SAMPLE OUTPUT
Rupee 1 coin 0
Rupee 3 coin 1
Rupee 7 coin 3

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Given an array of integers of size N and a number K., You must modify array arr[] exactly K number of times. Here modify array means in each operation you can replace any array element either arr[i] by -arr[i] or -arr[i] by arr[i]. You need to perform this operation in such a way that after K operations, the sum of the array must be maximum.
Example 1:
Input:
N = 5, K = 1
arr[] = {1, 2, -3, 4, 5}
Output:
15
Explanation:
We have k=1 so we can change -3 to 3 and
sum all the elements to produce 15 as output.
Example 2:
Input:
N = 10, K = 5
arr[] = {5, -2, 5, -4, 5, -12, 5, 5, 5, 20}
Output:
68
Explanation:
Here  we have k=5 so we turn -2, -4, -12 to
2, 4, and 12 respectively. Since we have
performed 3 operations so k is now 2. To get
maximum sum of array we can turn positive
turned 2 into negative and then positive
again so k is 0. Now sum is
5+5+4+5+12+5+5+5+20+2 = 68
Your Task:
You don't have to print anything, printing is done by the driver code itself. You have to complete the function maximizeSum() which takes the array A[], its size N, and an integer K as inputs and returns the maximum possible sum.
Expected Time Complexity: O(N*logN)
Expected Auxiliary Space: O(1)
Constraints:
1 ≤ N,K ≤ 10^{5}
-10^{9} ≤ A_{i} ≤ 10^{9}

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Given an array of distinct elements which was initially sorted. This array may be rotated at some unknown point. The task is to find the minimum element in the given sorted and rotated array. 
Example 1:
Input:
N = 10
arr[] = {2,3,4,5,6,7,8,9,10,1}
Output: 1
Explanation: The array is rotated 
once anti-clockwise. So minimum 
element is at last index (n-1) 
which is 1.
Example 2:
Input:
N = 5
arr[] = {3,4,5,1,2}
Output: 1
Explanation: The array is rotated 
and the minimum element present is
at index (n-2) which is 1.
Your Task:
The task is to complete the function minNumber() which takes the array arr[] and its starting and ending indices (low and high) as inputs and returns the minimum element in the given sorted and rotated array.
Expected Time Complexity: O(LogN).
Expected Auxiliary Space: O(LogN).
Constraints:
1 <= N <= 10^{7}
1 <= arr[i] <= 10^{7}

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Your company was appointed to lay new asphalt on the highway of length $n$. You know that every day you can either repair one unit of the highway (lay new asphalt over one unit of the highway) or skip repairing.

Skipping the repair is necessary because of the climate. The climate in your region is periodical: there are $g$ days when the weather is good and if you lay new asphalt these days it becomes high-quality pavement; after that, the weather during the next $b$ days is bad, and if you lay new asphalt these days it becomes low-quality pavement; again $g$ good days, $b$ bad days and so on.

You can be sure that you start repairing at the start of a good season, in other words, days $1, 2, \dots, g$ are good.

You don't really care about the quality of the highway, you just want to make sure that at least half of the highway will have high-quality pavement. For example, if the $n = 5$ then at least $3$ units of the highway should have high quality; if $n = 4$ then at least $2$ units should have high quality.

What is the minimum number of days is needed to finish the repair of the whole highway?


-----Input-----

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

Next $T$ lines contain test cases — one per line. Each line contains three integers $n$, $g$ and $b$ ($1 \le n, g, b \le 10^9$) — the length of the highway and the number of good and bad days respectively.


-----Output-----

Print $T$ integers — one per test case. For each test case, print the minimum number of days required to repair the whole highway if at least half of it should have high quality.


-----Example-----
Input
3
5 1 1
8 10 10
1000000 1 1000000

Output
5
8
499999500000



-----Note-----

In the first test case, you can just lay new asphalt each day, since days $1, 3, 5$ are good.

In the second test case, you can also lay new asphalt each day, since days $1$-$8$ are good.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
A family consisting of father bear, mother bear and son bear owns three cars. Father bear can climb into the largest car and he likes it. Also, mother bear can climb into the middle car and she likes it. Moreover, son bear can climb into the smallest car and he likes it. It's known that the largest car is strictly larger than the middle car, and the middle car is strictly larger than the smallest car. 

Masha came to test these cars. She could climb into all cars, but she liked only the smallest car. 

It's known that a character with size a can climb into some car with size b if and only if a ≤ b, he or she likes it if and only if he can climb into this car and 2a ≥ b.

You are given sizes of bears and Masha. Find out some possible integer non-negative sizes of cars.


-----Input-----

You are given four integers V_1, V_2, V_3, V_{m}(1 ≤ V_{i} ≤ 100) — sizes of father bear, mother bear, son bear and Masha, respectively. It's guaranteed that V_1 > V_2 > V_3.


-----Output-----

Output three integers — sizes of father bear's car, mother bear's car and son bear's car, respectively.

If there are multiple possible solutions, print any.

If there is no solution, print "-1" (without quotes).


-----Examples-----
Input
50 30 10 10

Output
50
30
10

Input
100 50 10 21

Output
-1



-----Note-----

In first test case all conditions for cars' sizes are satisfied.

In second test case there is no answer, because Masha should be able to climb into smallest car (so size of smallest car in not less than 21), but son bear should like it, so maximum possible size of it is 20.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Chef really likes to compete on Codechef, and he has gained an impressive rating of X, where X > 0. There is also a parallel universe, where ratings on Codechef are negative instead. The only thing that remains unchanged in the parallel universe is Chef's love for competing on Codechef. Chef's rating on Codechef in the parallel universe is Y, where Y < 0.

Due to some cosmic event, the parallel universe has been destroyed, resulting in Chef forgetting both X and Y. He only remembers the sum S = X+Y.  He wonders what the maximum possible product of his ratings is, given that he knows the sum of his ratings. 

------ Input Format ------ 

- The first line of input will contain an integer T — the number of test cases. The description of T test cases follows.
- The first and only line of each test case contains an integer S, the sum of Chef's ratings.

------ Output Format ------ 

- For each test case, output the maximum possible product of Chef's ratings, given that he knows the sum of his ratings.

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

$1 ≤ T ≤ 10^{3}$
$0 ≤ S ≤ 10^{9}$

------ subtasks ------ 

Subtask #1 (100 points): Original constraints

----- Sample Input 1 ------ 
2
0
1
----- Sample Output 1 ------ 
-1
-2
----- explanation 1 ------ 
Test case $1$: We have $X > 0$ and $X + Y = 0$. This implies that $Y = -X$. The product of ratings is $- X^{2}$, and the maximum possible product is $-1$.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Sherlock Holmes and Dr Watson are solving a case. Dr Watson reaches the crime scene earlier and starts investigating and finds a series of n number written on a sheet of paper in increasing order. But then a guy with a mask comes to the sight and threatens Watson to leave the evidence. Watson is no fighter so he leaves. All he could do is memorize m numbers out of n along with their positions and assumes that Holmes will find out the other numbers by linear interpretation. He tells Holmes about this incident and the numbers and their positions. Holmes interprets every number with some average error.
Watson will always memorize the first and the last number which is inclusive of m. Holmes will interpret a number nk at k^th position between two memorized number ni and nj at i^th and j^th position (i < k < j) respectively by the formula :

nk = ni +  (nj -  ni ).(k-i)/(j-i)

Help Dr Watson to memorize m number out of n such that average error is minimum when interpreted by Holmes.

Input:

Input will consist of t test cases. For each test case there are two lines. The first line contains n and m followed by second line of input specifying n numbers in increasing order.

Output:

For every test case t you have to print the minimum average error e.

Constraints:

0 < t < 200

1 < n < 500

1 < m < n

0 < ni < nk < nj < 1000000

e corrected to 4 decimal places.

SAMPLE INPUT
2
4 2
0 10 20 30
5 3
2 7 13 19 27

SAMPLE OUTPUT
0.0000
0.2000

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

Time Limit: None seconds

Memory Limit: None megabytes

Problem Description:
And where the are the phone numbers?

You are given a string *s* consisting of lowercase English letters and an integer *k*. Find the lexicographically smallest string *t* of length *k*, such that its set of letters is a subset of the set of letters of *s* and *s* is lexicographically smaller than *t*.

It's guaranteed that the answer exists.

Note that the set of letters is a set, not a multiset. For example, the set of letters of abadaba is {*a*,<=*b*,<=*d*}.

String *p* is lexicographically smaller than string *q*, if *p* is a prefix of *q*, is not equal to *q* or there exists *i*, such that *p**i*<=&lt;<=*q**i* and for all *j*<=&lt;<=*i* it is satisfied that *p**j*<==<=*q**j*. For example, abc is lexicographically smaller than abcd , abd is lexicographically smaller than abec, afa is not lexicographically smaller than ab and a is not lexicographically smaller than a.

Input Specification:
The first line of input contains two space separated integers *n* and *k* (1<=≤<=*n*,<=*k*<=≤<=100<=000) — the length of *s* and the required length of *t*.

The second line of input contains the string *s* consisting of *n* lowercase English letters.

Output Specification:
Output the string *t* conforming to the requirements above.

It's guaranteed that the answer exists.

Demo Input:
['3 3\nabc\n', '3 2\nabc\n', '3 3\nayy\n', '2 3\nba\n']

Demo Output:
['aca\n', 'ac\n', 'yaa\n', 'baa\n']

Note:
In the first example the list of strings *t* of length 3, such that the set of letters of *t* is a subset of letters of *s* is as follows: aaa, aab, aac, aba, abb, abc, aca, acb, .... Among them, those are lexicographically greater than abc: aca, acb, .... Out of those the lexicographically smallest is aca.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
The subsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements.

You are given an integer $n$. 

You have to find a sequence $s$ consisting of digits $\{1, 3, 7\}$ such that it has exactly $n$ subsequences equal to $1337$.

For example, sequence $337133377$ has $6$ subsequences equal to $1337$:   $337\underline{1}3\underline{3}\underline{3}7\underline{7}$ (you can remove the second and fifth characters);  $337\underline{1}\underline{3}3\underline{3}7\underline{7}$ (you can remove the third and fifth characters);  $337\underline{1}\underline{3}\underline{3}37\underline{7}$ (you can remove the fourth and fifth characters);  $337\underline{1}3\underline{3}\underline{3}\underline{7}7$ (you can remove the second and sixth characters);  $337\underline{1}\underline{3}3\underline{3}\underline{7}7$ (you can remove the third and sixth characters);  $337\underline{1}\underline{3}\underline{3}3\underline{7}7$ (you can remove the fourth and sixth characters). 

Note that the length of the sequence $s$ must not exceed $10^5$.

You have to answer $t$ independent queries.


-----Input-----

The first line contains one integer $t$ ($1 \le t \le 10$) — the number of queries. 

Next $t$ lines contains a description of queries: the $i$-th line contains one integer $n_i$ ($1 \le n_i \le 10^9$).


-----Output-----

For the $i$-th query print one string $s_i$ ($1 \le |s_i| \le 10^5$) consisting of digits $\{1, 3, 7\}$. String $s_i$ must have exactly $n_i$ subsequences $1337$. If there are multiple such strings, print any of them.


-----Example-----
Input
2
6
1

Output
113337
1337

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Mr. Khalkhoul, an amazing teacher, likes to answer questions sent by his students via e-mail, but he often doesn't have the time to answer all of them. In this kata you will help him by making a program that finds
some of the answers.

You are given a `question` which is a string containing the question and some `information` which is a list of strings representing potential answers.

Your task is to find among `information` the UNIQUE string that has the highest number of words in common with `question`. We shall consider words to be separated by a single space.

You can assume that:

* all strings given contain at least one word and have no leading or trailing spaces,
* words are composed with alphanumeric characters only

You must also consider the case in which you get no matching words (again, ignoring the case): in such a case return `None/nil/null`.

Mr. Khalkhoul is countin' on you :)

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Print a sequence of numbers starting with N where A[0] = N, without using loop, in which  A[i+1] = A[i] - 5,  until A[i] > 0. After that A[i+1] = A[i] + 5  repeat it until A[i] = N.
Example 1:
Input: N = 16
Output: 16 11 6 1 -4 1 6 11 16
Explaination: The value decreases until it 
is greater than 0. After that it increases 
and stops when it becomes 16 again.
Example 2:
Input: N = 10
Output: 10 5 0 5 10
Explaination: It follows the same logic as 
per the above example.
Your Task:
You do not need to read input or print anything. Your task is to complete the function pattern() which takes N as input parameters and returns a list containing the pattern.
Expected Time Complexity: O(N)
Expected Auxiliary Space: O(N)
Constraints:
1 ≤ N ≤ 10^{4}

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