meetforever/GRPO_CL huggingface dataset:
user: Are you fond of collecting some kind of stuff? Mike is crazy about collecting stamps. He is an active member of Stamp Collecting Сommunity(SCC). 

SCC consists of N members which are fond of philately. A few days ago Mike argued with the others from SCC. Mike told them that all stamps of the members could be divided in such a way that i'th member would get i postage stamps. Now Mike wants to know if he was right. The next SCC meeting is tomorrow. Mike still has no answer.

So, help Mike! There are N members in the SCC, i'th member has Ci stamps in his collection. Your task is to determine if it is possible to redistribute C1 + C2 + ... + Cn stamps among the members of SCC thus that i'th member would get i stamps.

-----Input-----
The first line contains one integer N, denoting the number of members of SCC.
The second line contains N integers Ci, denoting the numbers of the stamps in the collection of i'th member.

-----Output-----
The first line should contain YES, if we can obtain the required division, otherwise NO.

-----Constraints-----
1 ≤ N ≤ 100 000;
1 ≤  Ci ≤ 109.

-----Examples-----
Input:
5
7 4 1 1 2

Output:
YES

Input:
5
1 1 1 1 1

Output:
NO
user: Today, Chef woke up to find that he had no clean socks. Doing laundry is such a turn-off for Chef, that in such a situation, he always buys new socks instead of cleaning the old dirty ones. He arrived at the fashion store with money rupees in his pocket and started looking for socks. Everything looked good, but then Chef saw a new jacket which cost jacketCost rupees. The jacket was so nice that he could not stop himself from buying it.

Interestingly, the shop only stocks one kind of socks, enabling them to take the unsual route of selling single socks, instead of the more common way of selling in pairs. Each of the socks costs sockCost rupees.

Chef bought as many socks as he could with his remaining money. It's guaranteed that the shop has more socks than Chef can buy. But now, he is interested in the question: will there be a day when he will have only 1 clean sock, if he uses a pair of socks each day starting tommorow? If such an unlucky day exists, output "Unlucky Chef", otherwise output "Lucky Chef". Remember that Chef never cleans or reuses any socks used once.

-----Input-----
The first line of input contains three integers — jacketCost, sockCost, money — denoting the cost of a jacket, cost of a single sock, and the initial amount of money Chef has, respectively.

-----Output-----
In a single line, output "Unlucky Chef" if such a day exists. Otherwise, output "Lucky Chef". 

-----Constraints-----
- 1 ≤ jacketCost ≤ money ≤ 109
- 1 ≤ sockCost ≤ 109

-----Example-----
Input:
1 2 3

Output:
Unlucky Chef

Input:
1 2 6

Output:
Lucky Chef

-----Subtasks-----
- Subtask 1:  jacketCost, money, sockCost ≤ 103. Points - 20
- Subtask 2: Original constraints. Points - 80

-----Explanation-----
Test #1:
When Chef arrived at the shop, he had 3 rupees. After buying the jacket, he has 2 rupees left, enough to buy only 1 sock.
Test #2:
Chef had 6 rupees in the beginning. After buying the jacket, he has 5 rupees left, enough to buy a pair of socks for 4 rupees.
user: The lockdown hasn’t been great for our chef as his restaurant business got sabotaged because of lockdown, nevertheless no worries our chef is a multi-talented guy. Chef has decided to be a freelancer and work remotely. According to chef’s maths, he should be able to work on maximum tasks assuming that he can only work on a single task at a time. 
Assume that chef does N tasks. The start and finish time units of those tasks are given. Select the maximum number of tasks that can be performed by a chef, assuming that a he can only work on a single task at a time.

-----Input:-----
- The first input contains of size of array N representing the total number of tasks.
- The second and third lines contains N space-seperated integers representing the starting and finish time of the the tasks.

-----Output:-----
A single line containing indices of tasks that chef will be able to do.

-----Constraints-----
- $1 \leq N \leq 10^5$
- Note: The lists have been sorted based on the ending times of the tasks.

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

10 12 20

20 25 30  

-----Sample Output 1:-----
0  2 

-----Sample Input 2:-----
6

1 2 0 6 3 7

2 4 5 7 9 10  

-----Sample Output 2:-----
0  1  3  5
user: A pair of strings $(α, β)$ is called a subpair of a string $x$ if $x$ = $x_1+$$α+$$x_2+$$β+$$x_3$ (where a+b means concatenation of strings a and b) for some (possibly empty) strings $x1, x2$ and $x3$. We are given two strings and we need to find one subpair from each string such that : 
Let $(a,b) , (c,d) $be subpair of $string1$ and $string2$ respectively and $X$ $=$ $a$ + $b$ + $c$ + $d$
- $X$ is a palindrome
- $|a| = |d|$
- $|b| = |c|$
- $|X|$ is maximum

-----Input Format:-----
- First line will contain $T$, number of testcases. Then the testcases follow. 
- Each testcase contains of a single line of input, two strings str1, str2. 

-----Output Format:-----
- For each testcase, output in a single line representing the length of palindrome |X|.

-----Constraints-----
- $1 \leq T \leq 5$
- $2 \leq |str1| \leq 10^3$
- $2 \leq |str2| \leq 10^3$

-----Sample Input 1:-----
1
abgcd dchbag

-----Sample Output 1:-----
8

-----Sample Input 2:-----
4   

aaa aaa

zaaax yaaaw

zax yaw

zx yw

-----Sample Output 2:-----
6

6

2

0  

-----EXPLANATION:-----
Sample Testcase 1: The subpairs are ("ab","cd") and ("dc","ba"). When the subpairs are concatenated string is "abcddcba" which is a pallindrome , |"ab"| = |"ba"|, |"cd"| = |"dc"| and has the maximum length equal to 8.
user: Andy got a box of candies for Christmas. In fact, he discovered that the box contained several identical smaller boxes, and they could contain even smaller boxes, and so on. Formally, we say that candies are boxes of level 0, and for 1 ≤ i ≤ n, a level i box contains ai boxes of level i - 1. The largest box has level n. Andy realized that it can take quite a long time to open all the boxes before he actually gets to eat some candies, so he put the box aside in frustration.

But today being his birthday, some friends came to visit Andy, and Andy decided to share some candies with them. In order to do that, he must open some of the boxes. Naturally, Andy can not open a box that is still inside an unopened box. If Andy wants to retrieve X candies, what is the least number of boxes he must open? You must help him answer many such queries. Each query is independent.

-----Input-----
- The first line contains two integers n and m, which refer to the level of the largest box, and the number of queries respectively.
- The second line contains n integers a1, ..., an.
- The third line contains m integers X1, ..., Xm.

-----Output-----
- Print m integers each in a new line, ith of them equal to the smallest number of boxes Andy must open in order to retrieve at least Xi candies.

-----Constraints-----
- 1 ≤ n,m ≤ 300000
- 1 ≤ ai ≤ 109
- 1 ≤ Xi ≤ 1012
- It is guaranteed that the total number of candies is at least Xi for all i

-----Example-----
Input 1:
5 1
1 1 1 1 1
1

Output 1:
5

Input 2:
3 3
3 3 3
2 8 13

Output 2:
3
5
8

-----Explanation-----
Testcase 1: The only candy is contained in five levels of boxes. 
Testcase 2: In the third query, for 13 candies, Andy should open the largest box, two level-2 boxes, and finally five of six available level-1 boxes. Each of those boxes will contain 3 level-0 boxes (which are candies). So he'll have 15 candies in total, but he needs only 13 of them.
user: Guys don’t misinterpret this it is three only.

-----Input:-----
- First line will contain an integer $X$.

-----Output:-----
A single line containing the answer to the problem modulo 1000000007.

-----Constraints-----
- $1 \leq X < 10^5$

-----Sample Input 1:-----
1

-----Sample Output 1:-----
3

-----Sample Input 2:-----
2

-----Sample Output 2:-----
14
user: Chef loves games! But he likes to invent his own. Now he plays game "Digit Jump". Chef has a sequence of digits $S_{1}, S_{2}, \ldots , S_{N}$. He is staying in the first digit $S_{1}$ and wants to reach the last digit $S_{N}$ in the minimal number of jumps. 
While staying in some index $i$ Chef can jump into $i - 1$ and $i + 1$, but he can't jump out from sequence. Or he can jump into any digit with the same value $S_i$. 
Help Chef to find the minimal number of jumps he need to reach digit $S_{N}$ from digit $S_1$. 

-----Input-----
Input contains a single line consist of string $S$ of length $N$ - the sequence of digits.

-----Output-----
In a single line print single integer - the minimal number of jumps he needs.

-----Constraints-----
- $1\leq N \leq 10^5$
- Each symbol of $S$ is a digit from $0$ to $9$. 

-----Example Input 1-----
01234567890

-----Example Output 1-----
1

-----Example Input 2-----
012134444444443

-----Example Output 2-----
4

-----Explanation-----
Test Case 1: Chef can directly jump from the first digit (it is $0$) to the last (as it is also $0$).
Test Case 2: Chef should follow the following path: $1 - 2 - 4 - 5 - 15$.
user: Is the MRP of my new shoes exclusive or inclusive of taxes?

-----Input:-----
- First line will contain an integer $P$

-----Output:-----
For each testcase, print either 'Inclusive' or 'Exclusive' without quotes.

-----Constraints-----
- $100 \leq P \leq 999$

-----Sample Input 1:-----
123

-----Sample Output 1:-----
Exclusive

-----Sample Input 2:-----
111

-----Sample Output 2:-----
Inclusive
user: There are $n$ red balls kept on the positive $X$ axis, and $m$ blue balls kept on the positive $Y$ axis. You are given the positions of the balls. For each $i$ from $1$ to $n$, the $i$-th red ball has the coordinates $(x_i, 0)$, where $x_i$ is a positive integer. For each $i$ from $1$ to $m$, the $i$-th blue ball has the coordinates $(0, y_i)$, where $ y_i$ is a positive integer. 
It is given that all $x_i$ are distinct. Also, all $y_i$ are distinct.
At the time $t= 0$, for each $i$ from $1$ to $n$, the $i^{\text{th}}$ red ball is thrown towards positive $Y$ axis with a speed of $u_i$( that is, with velocity vector $(0, u_i)$). Simultaneously (at time $t = 0$), for each $i$ from $1$ to $m$, the $i^{\text{th}}$ blue ball is thrown towards positive $X$ axis with a speed of $v_i$ (that is, with velocity vector $(v_i, 0)$).
Two balls are said to collide if they are at the same position at the same time. When two balls collide, they disappear, and hence no longer collide with other balls. (See sample examples for clarification).
Find the total number of collisions the balls will have.

-----Input-----
- First line contains $n$ and $m$, the number of red balls, and the number of blue balls, respectively. 
- $i^{\text{th}}$  of the next $n$ lines contains two space separated integers $x_i$ and $u_i$, the position and speed of the $i^{\text{th}}$  red ball respectively
- $i^{\text{th}}$  of the next $m$ lines contains two space separated integers $y_i$ and $v_i$, the position and speed of the $i^{\text{th}}$  blue ball respectively

-----Output-----
Print the number of collisions.

-----Constraints-----
- $1 \le n, m \le 10^5$
- $1 \le x_i, u_i, y_i, v_i \le 10^9$
- for all $1 \le i < j \le n, x_i \neq x_j$
- for all $1 \le i < j \le m, y_i \neq y_j$

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

-----Example Output 1-----
1

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

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

-----Explanation-----
Example case 1: The balls collide at t = 1, at the coordinates (1, 2). 
Example case 2: The red ball and the second blue ball collide at time 0.5 at coordinates (1, 1). Note that the first blue ball would have collided with the red ball at t = 1 (like in sample input # 1), if the second blue ball wasn't present. But since the red ball disappears at t = 0.5, its collision with first blue ball doesn't happen. The total number of collisions is 1.
user: Teddy and Freddy are two friends. Teddy has a pile of strings of size $N$. Each string $Si$ in the pile has length less or equal to $100$ ($len(Si) \leq 100$). 
Teddy and Freddy like playing with strings. Teddy gives Freddy a string $B$ of size $M$.
Teddy and Freddy like playing with strings. Teddy gives Freddy a string $B$ of size $M$.
He asks Freddy to find the count of the unique substrings of $B$ present in pile of strings of size $N$.
Freddy is busy with the some task, so he asks for your help.Help Freddy by giving the unique substrings of $B$ present in pile of strings of size $N$.
Note: The substrings having same permutation of characters are considered same.

-----Input:-----
- First line will contain $N$, number of strings. Then the strings follow. 
- Next $N$ lines will contain a string 
- $N+2$ line contains the $M$ - length of string B
- Following line contains the string B

-----Output:-----
For each testcase, output in a single line number of unique strings of B.

-----Constraints-----
- $1 \leq N \leq 100$
- $2 \leq len(Si) \leq 100$
- $2 \leq M \leq 100$

-----Sample Input:-----
4
a
abc 
abcd
abcde
5
aaaaa

-----Sample Output:-----
1

-----Sample Input:-----
4
a
aa
aaa
aaaa
5
aaaaa

-----Sample Output:-----
4

-----EXPLANATION:-----
TestCase 1: Only substring of $aaaaa$ that is present in the pile of strings is $a$. So the answer is 1
user: $Alien$ likes to give challenges to $Codezen$ team to check their implementation ability, this time he has given a string $S$ and asked to find out whether the given string is a $GOOD$ string or not.
According to the challenge $GOOD$ String is a string that has at least $3$ consecutive vowels and at least $5$ different consonants.
For example $ACQUAINTANCES$  is a $ GOOD $String ,as it contains $3$ consecutive vowels  $UAI$ and $5$ different consonants $ {C, Q, N, T, S} $
but  $ACQUAINT $ is  not ,as it contain $3$ vowels but have only $ 4$ different consonants 
${C, Q, N, T}$.

-----Input:-----
A string input is given from Standard Input that consists of only capital letters. 

-----Output:-----
Output  a single line  that  is either $GOOD$  (if string is a good string ) or $-1$(if string is not good).

-----Constraints-----
- $8 \leq S \leq 1000$

-----Sample Input 1:-----
AMBITIOUSNESS

-----Sample Output 2:-----
GOOD

-----Sample Input 2:-----
COOEY

-----Sample Output 2:-----
-1
user: Zonal Computing Olympiad 2015, 29 Nov 2014

An interval is a pair of positive integers [a, b] with a ≤ b. It is meant to denote the set of integers that lie between the values a and b. For example [3,5] denotes the set {3,4,5} while the interval [3, 3] denotes the set {3}.

We say that an interval [a, b] is covered by an integer i, if i belongs to the set defined by [a, b]. For example interval [3, 5] is covered by 3 and so is the interval [3, 3].

Given a set of intervals I, and a set of integers S we say that I is covered by S if for each interval [a, b] in I there is an integer i in S such that [a, b] is covered by i. For example, the set {[3, 5], [3, 3]} is covered by the set {3}. The set of intervals {[6, 9], [3, 5], [4, 8]} is covered by the set {4, 5, 8}. It is also covered by the set {4, 7}.

We would like to compute, for any set of intervals I, the size of the smallest set S that covers it. You can check that for the set of intervals {[6, 9], [3, 5], [4, 8]} the answer is 2 while for the set of intervals {[3, 5], [3, 3]} the answer is 1.

Your program should take the set of intervals as input and output the size of the smallest set that covers it as the answer.

-----Input format-----
The first line contains a single integer N, giving the number of intervals in the input.

This is followed by N lines, each containing two integers separated by a space describing an interval, with the first integer guaranteed to be less than or equal to the second integer.

-----Output format-----
Output a single integer giving the size of the smallest set of integers that covers the given set of intervals.

-----Test data-----
You may assume that all integers in the input are in the range 1 to 10^8 inclusive.

Subtask 1 (100 marks) : 1 ≤ N ≤ 5000.

-----Sample Input 1-----
2 
3 5 
3 3

-----Sample Output 1-----
1

-----Sample Input 2-----
3 
6 9 
3 5 
4 8

-----Sample Output 2-----
2
user: It is the last day of covid and you are coming back to your home with two empty sacks. On
the way to your home, you found Ambani brothers donating all their wealth in form of coins
after getting fed up with all the money they have. The coins have both positive and negative
values and they are laid down in a line. Now as you don’t want to go with an empty sack so
you also decided to take some of the money being given by Ambani’s. But anyone who
wants the money has to follow a rule that he/she can choose an only contiguous segment of
coins which are lying in a line (you can also imagine it like an array of coins) whether its value
is positive or negative.
Formally according to the rule if you are given an array [-1,2,3,4,2,0] you can only choose
subarrays like [2,3], [4,2,0], [-1] , [-1,2,3,4,2,0] etc.
Now as you have two siblings you decided to fill both the sacks with some coins. Your task is
to choose the coins in such a way that the sum of values of all the coins(including sacks 1
and 2) is maximum and both sacks are non-empty.
For e.g.:
If the array of coins is:
-1 2 3 4 -3 -5 6 7 1
Following are some ways you can choose the coins:
2 3 4 and -5 6 7
-1 2 3 and 6 7 1
2 3 4 and 6 7 1
and so on….
You can see that among the given ways the 3rd way will yield maximum values (2+3+4) +
(6+7+1)=23
Note: 
Both the sack should be non-empty.
A subarray is a contiguous part of an array. An array that is inside another array.
A coin can be inserted in one and only one sacks i.e you cannot choose a coin more than one time.

-----Input:-----
- The first line contains $n$, the number of coins in the array $c$.
- The next line will contain $n$ space integers denoting the value $coin$ $c[i]$.

-----Output:-----
One and the only line containing the maximum possible sum of values of all the coins in
both sacks.

-----Constraints-----
- $2 \leq n \leq 10^5$
- $-10^5 \leq c[i] \leq 10^5$

-----Sample Input 1:-----
9

-1 2 3 4 -3 -5 6 7 1

-----Sample Output 1:-----
23

-----Sample Input 2:-----
6

-10 -1 -30 -40 -3 -11

-----Sample Output 2:-----
-4

-----EXPLANATION:-----
In first test case you can easily observe that the sum will be maximum if you choose [2,3,4]
and [6,7,1] contiguous subarrays from the given array.
user: Little Rohu from Pluto is the best bomb defusor on the entire planet. She has saved the planet from getting destruced multiple times now. Of course, she's proud of her achievments. But, to prepare herself for more complicated situations, she keeps challenging herself to handle tricky tasks.
Her current challenge involves the following things:
- A square matrix of the form N*N.  
- B bombs planted at various cells of the square matrix.
- There can be multiple bombs at a given cell. 
- Only the four corners of the square matrix have a bomb defusor, so if a bomb is moved to any one of the four corners, it will be defused.

From a given cell, any bomb can be moved in all the four directions, North, South, East, West respectively.

Rohu is given the number of bombs and the dimensions of the square matrix she's going to be dealing with, you've to help her figure out the minimum number of moves required to defuse all the bombs.

Note-1: She's not going to enter the matrix, she's just going to move the bombs from outside. 
Note-2: The matrix is 1-indexed. 

-----Input-----
- The first line of each test case contains two integers N, denoting the dimension of the square matrix, and B denoting the number of bombs. This will be followed by two lines, where the first line will denote the x-coordinate of all the bombs, and the second line will denote the y-coordinate of all the bombs. x[0], y[0] will be the position of the first bomb, ... , x[B-1], y[B-1] will be the position of the Bth bomb.

-----Output-----
- Output a single line containing the minimum number of moves required.

-----Subtasks-----
- 1 ≤ N, B ≤ 100000: 50 points

- 1 ≤ N, B ≤ 1000: 30 points

- 1 ≤ N, B ≤ 10: 20 points

-----Constraints-----
- 1 ≤ N, B ≤ 100000

-----Example 1-----
Input:
3 3
1 2 3
3 2 1

Output:
2

-----Example 2-----
Input:
2 1
1
1

Output:
0

-----Explanation-----
Example case 1:Only the bomb at {2,2} needs to be moved in two steps.
Example case 2:No bomb needs to be moved anywhere.
user: Write a program to obtain 2 numbers $($ $A$ $and$ $B$ $)$ and an arithmetic operator $(C)$ and then design a $calculator$ depending upon the operator entered by the user.
So for example if C="+", you have to sum the two numbers.
If C="-", you have to subtract the two numbers.
If C=" * ", you have to print the product.
If C=" / ", you have to divide the two numbers.

-----Input:-----
- First line will contain the first number $A$.
- Second line will contain the second number $B$.
- Third line will contain the operator $C$, that is to be performed on A and B.

-----Output:-----
Output a single line containing the answer, obtained by, performing the operator on the numbers. Your output will be considered to be correct if the difference between your output and the actual answer is not more than $10^{-6}$.

-----Constraints-----
- $-1000 \leq A \leq 1000$
- $-1000 \leq B \leq 1000$ $and$ $B \neq 0$
- $C$ $can$ $only$ $be$ $one$ $of$ $these$ $4$ $operators$ {" + ", " - ", " * ", " / "}

-----Sample Input:-----
8
2
/

-----Sample Output:-----
4.0

-----Sample Input:-----
5
3
+

-----Sample Output:-----
8
user: Mathison has bought a new deck of cards that contains 2N cards, numbered and ordered from 0 to 2N-1.
Mathison is getting bored and decides to learn the Dynamo shuffle (or Sybil cut) - a flashy manner to shuffle cards. Unfortunately, the Dynamo shuffle is a little too complicated so Mathison decides to create his own shuffle.

This newly invented shuffle is done in N steps. At step k (0 ≤ k < N) the deck is divided into 2k equal-sized decks
where each one contains cards that lie on consecutive positions.
Each one of those decks is then reordered: all the cards that lie on even positions are placed first followed by all cards that lie on odd positions
(the order is preserved in each one of the two subsequences and all positions are 0-based). Then all the decks are put back together (preserving the order of decks).

Mathison has spent hours practising the shuffle and he now believes that he has perfected his technique. However, Chef doesn't believe him yet so he asks Mathison to answer Q questions that given a deck of size 2N where i-th card is labelled i, find the position of the card labelled K in the final, shuffled deck.

-----Input-----
The first line of the input file will contain one integer, Q, representing the number of Chef's questions.
Each of the next Q lines will contain a pair of integers, N and K.

-----Output-----
The output file will contain Q lines, each one representing the answer to one of Chef's questions.

-----Constraints-----
- 1 ≤ Q ≤ 1000
- 1 ≤ N ≤ 64
- 0 ≤ K < 2N

-----Subtaks-----
Subtask #1 (30 points):

- 1 ≤ N ≤ 10

Subtask #2 (30 points):

- 1 ≤ N ≤ 32

Subtask #3 (40 points):

- Original constraints

-----Example-----
Input:
3
3 4
3 3
3 2

Output:
1
6
2

Input:
1
64 11047805202224836936

Output:
1337369305470044825

-----Explanation-----
In all questions, we have N = 3. Therefore, we have a deck with 8 cards.
The shuffling is done in three steps:

Step 0: We divide {0, 1, 2, 3, 4, 5, 6, 7} in 20 decks. We get only one deck.
The deck is reordered into {0, 2, 4, 6, 1, 3, 5, 7}.

Step 1: We divide {0, 2, 4, 6, 1, 3, 5, 7} in 21 decks. We get two decks: {0, 2, 4, 6} and {1, 3, 5, 7}.
{0, 2, 4, 6} is reordered into {0, 4, 2, 6} while {1, 3, 5, 7} is reordered into {1, 5, 3, 7}.
We get {0, 4, 2, 6, 1, 5, 3, 7} when we put the decks back together.

Step 2: We divide {0, 4, 2, 6, 1, 5, 3, 7} in 22 decks. We get four decks: {0, 4}, {2, 6}, {1, 5} and {3, 7}.
Each one of the four decks stays the same after it is reordered (as there are only two elements to reorder).
We get the final, shuffled deck: {0, 4, 2, 6, 1, 5, 3, 7}.

The card labelled 4 is on position 1.
The card labelled 3 is on position 6.
The card labelled 2 is on position 2.