meetforever/GRPO_CL huggingface dataset:
user: Chef is planning a huge party for all of you and has ordered M pizzas. He wants to invite as many people to the party. However, he knows that everyone will have exactly one slice of a pizza (regardless of the size) and he wants to make sure that he has enough pizza slices. 
Chef is very lazy and will only make a total of N straight cuts among all the pizzas. Each pizza is also of different size and to avoid the slices getting too small the chef can only make a max of Ai cuts to the ith pizza. He wants to maximize the number of slices of pizza. Since chef is busy with preparing other aspects of the party he wants you to find out the maximum number of slices he can get following the constraints. 
If a pizza is not cut at all then it is considered as 1 slice.  

-----Input-----
First line contains two integers M and N.
The second line of input contains the array A.

-----Output-----
Output a single integer - the maximum number of slices chef can get.

-----Constraints-----
- 1 ≤ M ≤ 2*105
- 1 ≤ N,Ai ≤ 2*105

-----Subtasks-----
- Subtask 1: 1 ≤ M,N ≤ 100 - 10 points 
- Subtask 2: 1 ≤ N ≤ 100, 
1 ≤ M ≤ 105 - 20 points
- Subtask 3: Original Constraints - 70 points

-----Example-----
Input:
5 10
1 2 3 4 5
Output:
31

-----Explanation-----
Example case 1. One of the optimal way to cut would be to do {0, 1,  0, 4, 5} cuts.
user: Write a program to check whether a triangle is valid or not, when the three angles of the triangle are the inputs. A triangle is valid if the sum of all the three angles is equal to 180 degrees.

-----Input-----

The first line contains an integer T, the total number of testcases. Then T lines follow, each line contains three angles  A, B and C, of the triangle separated by space. 

-----Output-----
For each test case, display 'YES' if the triangle is valid, and 'NO', if it is not, in a new line.

-----Constraints-----
- 1 ≤ T ≤ 1000
- 1 ≤ A,B,C ≤ 180

-----Example-----
Input

3 
40 40 100
45 45 90
180 1 1
Output

YES
YES
NO
user: Alice is a very brilliant student. He considers '4' and '7' as Magic numbers. The numbers containing only magic numbers are also magical. Given a magic number N ,he wants to know what could be the next magical number greater than the given number.

-----Input-----

First line of input contains number of test cases T. For each test case, there is exits only one line containing a magic number N. 

-----Output-----

For each test case,  output a single line containing the next greater magical number.

-----Constraints-----
1<=T<=1000
4<= N<=10^100

-----Example-----
Input:
2
4
47

Output:
7
74
user: There is a popular apps named “Exbook” like “Facebook”. To sign up in this app , You have to make a strong password with more than 3 digits and less than 10 digits . But I am a pro hacker and so I make a Exbook hacking site . You need to login in this site to hack exbook account and then you will get a portal. You can give any user exbook login link using this site and when anyone login into exbook using your link ,you can see his/her password .
But I made a mistake and so you cannot find original password in your portal . The portal showing you by adding two in every digit . So , now you have to find out the original password of an user if I give you the password which is showing in your portal .

-----Input:-----
The first line contains a single integer t (1 ≤ t ≤ 1000) — the number of test cases.
The first line of each test case contains a single integer n which is showing in your portal . Mind it , every digit of n is greater than one .

-----Output:-----
Print , original password of user .

-----Sample Input:-----
2
3527
47269

-----Sample Output:-----
1305
25047
user: You have an array A of size N containing only positive numbers. You have to output the maximum possible value of A[i]%A[j] where 1<=i,j<=N. 

-----Input-----
The first line of each test case contains a single integer N denoting the size of the array. The next N lines contains integers A1, A2, ..., AN denoting the numbers

-----Output-----
Output a single integer answering what is asked in the problem.

-----Subtask 1 (20 points)-----
- 1 ≤ N ≤ 5000
- 1 ≤ A[i] ≤ 2*(10^9)

-----Subtask 2 (80 points)-----
- 1 ≤ N ≤ 1000000
- 1 ≤ A[i] ≤ 2*(10^9)

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

Output:
1

-----Explanation-----
There will be four values, A[0]%A[0] = 0, A[0]%A[1]=1, A[1]%A[0]=0, A[1]%A[1]=0, and hence the output will be the maximum among them all, that is 1.
user: Chef and Abhishek both are fighting for the post of Chairperson to be part of ACE committee and are trying their best. To select only one student their teacher gave them a binary string (string consisting of only 0's and 1's) and asked them to find number of sub-strings present in the given string that satisfy the following condition:
The substring should start with 0 and end with 1 or the substring should start with 1 and end with 0 but not start with 0 and end with 0 and start with 1 and end with 1.
More formally, strings such as 100,0101 are allowed since they start and end with different characters. But strings such as 0110,1101 are not allowed because they start and end with same characters.
Both Chef and Abhishek try their best to solve it but couldn't do it. You being a very good friend of Chef, he asks for your help so that he can solve it and become the Chairperson.

-----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 line of each test case contains a single integer N denoting the length of the string.
The second line of each test case contains a binary string of length N.

-----Output:-----
For each test case, print a single line containing one integer ― the number of sub strings satisfying above conditions.

-----Constraints-----
- $1 \leq T \leq 1000$
- $2 \leq N \leq 10^9$
Binary string consist's only 0 and 1.

-----Sample Input:-----
1
4

1010

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

-----EXPLANATION:-----
All possible substring are : { (1),(0),(1),(0),(10),(01),(10),(101),(010),(1010) }. Out of these only 4 substrings {(10),(01),(10),(1010)} start and end with different characters. Hence the answer 4.
user: Chef is playing with an expression which consists of integer operands and the following binary
Bitwise operators -  AND, OR and XOR. He is trying to figure out that what could be the Maximum possible answer of the expression, given that he can perform the operation in any order i.e not necessarily follow the rule of Precedence of operators while evaluating the expression.
After some time of consistent work Chef starts feeling exhausted and wants you to automate this process for him. Can you help him out?
The expression has Bitwise operators in symbol format:
- &  stands for AND 
- |   stands for OR
- ^   stands for XOR
NOTE : It is guaranteed that the expression will always be valid, also each OPERATOR will always be preceded and succeeded by an OPERAND.

-----Input:-----
- The first line of input contains a single integer $T$ denoting the number of test cases.
- The only line of input for each test case is a $string$ which is the Chef's expression to evaluate.

-----Output:-----
For each test case print a single integer i.e the maximum possible value of Chef's expression.

-----Constraints-----
- $1 \leq T \leq 100$.
- The number of OPERATORS in the expression will be atleast 1 and atmost 10.
- Each OPERAND may range from 0 to $10^9$.

-----Subtasks-----
- 10 points : The number of OPERATORS in the expression will be atmost 5.
- 20 points : The number of OPERATORS in the expression will be atmost 8.
- 70 points : Original constraints.

-----Sample Input:-----
2
3^40|10^2

92^95|56&2&3

-----Sample Output:-----
43

95

-----EXPLANATION:-----CASE 2 :
- If we first compute (56 & 2), the expression becomes 92^95|0&3, since (56 & 2) yields $0$.
- Now on computing (95 | 0), the expression becomes 92^95&3.
- Further on computing (95 & 3), the expression becomes 92^3.
- Finally (92 ^ 3) yields 95, which is the maximum value of the expression.
user: Ho, Ho, Ho!
It's Christmas time and our friendly grandpa Santa Claus is busy distributing gifts to all the nice children. With the rising population, Santa's workload every year gets increased and he seeks your help to wrap the gifts with fancy wrapping papers while he gets them distributed. 
Everything was going great until you realised that you'll fall short of wrapping paper. But luckily, you get a very innovative idea, that will allow you to pack all the remaining gifts without worrying about lack of wrapping paper. Any guesses what the idea is? Using ice for wrapping, obviously! That's the only thing available at the North Pole.
Now, in order to reduce your trips to the ice factory, you decide to write a program that helps you visualize how much ice is needed for a particular gift. 

-----Input:-----
Input will consist of a single line with size $n$.

-----Output:-----
Print the ice wrapped gift box for the given size. 

-----Constraints-----
- $0 \leq n \leq 1000$

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

-----Sample Output:-----
4 4 4 4 4 4 4
4 3 3 3 3 3 4
4 3 2 2 2 3 4
4 3 2 1 2 3 4
4 3 2 2 2 3 4 
4 3 3 3 3 3 4
4 4 4 4 4 4 4
user: Write a program to find the remainder when an integer A is divided by an integer B.

-----Input-----

The first line contains an integer T, the total number of test cases. Then T lines follow, each line contains two Integers A and B. 

-----Output-----
For each test case, find the remainder when A is divided by  B, and display it in a new line.

-----Constraints-----
- 1 ≤ T ≤ 1000
- 1 ≤ A,B ≤ 10000

-----Example-----
Input
3 
1 2
100 200
40 15

Output
1
100
10
user: Chef Ciel wants to put a fancy neon signboard over the entrance of her restaurant. She has not enough money to buy the new one so she bought some old neon signboard through the internet. Ciel was quite disappointed when she received her order - some of its letters were broken. But she realized that this is even better - she could replace each broken letter by any letter she wants. So she decided to do such a replacement that the resulting signboard will contain the word "CHEF" as many times as possible.
We can model the signboard as a string S having capital letters from 'A' to 'Z', inclusive, and question marks '?'. Letters in the string indicate the intact letters at the signboard, while question marks indicate broken letters. So Ciel will replace each question mark with some capital letter and her goal is to get the string that contains as many substrings equal to "CHEF" as possible. If there exist several such strings, she will choose the lexicographically smallest one.
Note 1. The string S = S1...SN has the substring "CHEF" if for some i we have SiSi+1Si+2Si+3 = "CHEF". The number of times "CHEF" is the substring of S is the number of those i for which SiSi+1Si+2Si+3 = "CHEF".
Note 2. The string A = A1...AN is called lexicographically smaller than the string B = B1...BN if there exists K from 1 to N, inclusive, such that Ai = Bi for i = 1, ..., K-1, and AK < BK. In particular, A is lexicographically smaller than B if A1 < B1. We compare capital letters by their positions in the English alphabet. So 'A' is the smallest letter, 'B' is the second smallest letter, ..., 'Z' is the largest letter.

-----Input-----
The first line of the input contains an integer T denoting the number of test cases. The description of T test cases follows. The only line of each test case contains a string S.

-----Output-----
For each test case, output a single line containing the content of the signboard Chef Ciel will come up with. That is you should output the lexicographically smallest string that could be obtained from the input string by replacing all its question marks by some capital letters and having as many substrings equal to "CHEF" as possible.

-----Constraints-----
- 1 ≤ T ≤ 2013
- 1 ≤ length of S ≤ 2013
- Each character in S is either a capital letter from 'A' to 'Z', inclusive, or the question mark '?'.

-----Example-----
Input:
5
????CIELIS???E?
????CIELISOUR???F
T?KEITE?SY
????????
???C???

Output:
CHEFCIELISACHEF
CHEFCIELISOURCHEF
TAKEITEASY
CHEFCHEF
AAACHEF

-----Explanation -----
Example Case 1. Here the resulting string can have at most 2 substrings equal to "CHEF". For example, some possible such strings are:

- CHEFCIELISACHEF
- CHEFCIELISQCHEF
- CHEFCIELISZCHEF
However, lexicographically smallest one is the first one.

Example Case 3. Here the resulting string cannot have "CHEF" as its substring. Therefore, you must simply output the lexicographically smallest string that can be obtained from the given one by replacing question marks with capital letters.
user: Chefland is a grid with N$N$ rows and M$M$ columns. Each cell of this grid is either empty or contains a house. The distance between a pair of houses is the Manhattan distance between the cells containing them.
For each d$d$ between 1$1$ and N+M−2$N+M-2$ inclusive, Chef wants to calculate the number of unordered pairs of distinct houses with distance equal to d$d$. Please help him!

-----Input-----
- The first line of the input contains a single integer T$T$ denoting the number of test cases. The description of T$T$ test cases follows.
- The first line of each test case contains two space-separated integers N$N$ and M$M$.
- N$N$ lines follow. For each i$i$ (1≤i≤N$1 \le i \le N$), the i$i$-th of these lines contains a binary string with length M$M$; for each j$j$ (1≤j≤M$1 \le j \le M$), the j$j$-th character of this string is '1' if the cell in the i$i$-th row and j$j$-th column contains a house or '0' if it is empty.

-----Output-----
For each test case, print a single line containing N+M−2$N+M-2$ space-separated integers. For each valid i$i$, the i$i$-th integer should denote the number of pairs with distance i$i$.

-----Constraints-----
- 1≤T≤3$1 \le T \le 3$
- 2≤N,M≤300$2 \le N, M \le 300$

-----Subtasks-----
Subtask #1 (50 points): N,M≤50$N, M \le 50$
Subtask #2 (50 points): original constraints

-----Example Input-----
1
3 4
0011
0000
0100

-----Example Output-----
1 0 1 1 0
user: -----
CHEF N TIMINGS
-----

One day chef was working with some random numbers. Then he found something
interesting. He observed that no 240, 567, 9999 and 122 and called these numbers
nice as the digits in numbers are in increasing order. Also he called 434, 452, 900
are not nice as digits are in decreasing order

	

Now you are given a no and chef
wants you to find out largest "nice" integer which is smaller than or equal to the
given integer.

		
		

-----Constraints-----

1< t < 1000 

1< N < 10^18
	

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

First line contains no. of test cases t. Then t test cases follow. Each test case
contain a integer n.

-----Output-----

Output a integer for each test case in a new line which is largest nice
integer smaller or equal to the given integer. 

		
		

-----Example Text Case-----
Input:

1
132

Output:

129
user: Chef has a strip of length $N$ units and he wants to tile it using $4$ kind of tiles

-A Red tile of $2$ unit length

-A Red tile of $1$ unit length

-A Blue tile of $2$ unit length

-A Blue tile of $1$ unit length   
Chef is having an infinite supply of each of these tiles. He wants to find out the number of ways in which he can tile the strip. Help him find this number.
Since this number can be large, output your answer modulo 1000000007 ($10^9 + 7$).

-----Input:-----
- First line will contain $T$, number of testcases. Then the testcases follow. 
- Each testcase contains of a single line of input, an integer $N$. 

-----Output:-----
For each testcase, output in a single line your answer modulo 1000000007.

-----Constraints-----
- $1 \leq T \leq 1000$
- $2 \leq N \leq 10^{18}$

-----Sample Input:-----
1
2

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

-----EXPLANATION:-----

It can be seen that for a strip of length $2$, there are $6$ possible configurations.     
$NOTE : $ 2 tiles of 1 unit length are different from 1 tile of 2 unit length.
user: Ada's classroom contains $N \cdot M$ tables distributed in a grid with $N$ rows and $M$ columns. Each table is occupied by exactly one student.
Before starting the class, the teacher decided to shuffle the students a bit. After the shuffling, each table should be occupied by exactly one student again. In addition, each student should occupy a table that is adjacent to that student's original table, i.e. immediately to the left, right, top or bottom of that table.
Is it possible for the students to shuffle while satisfying all conditions of the teacher?

-----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 two space-separated integers $N$ and $M$.

-----Output-----
For each test case, print a single line containing the string "YES" if it is possible to satisfy the conditions of the teacher or "NO" otherwise (without quotes).

-----Constraints-----
- $1 \le T \le 5,000$
- $2 \le N, M \le 50$

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

-----Example Output-----
NO
YES

-----Explanation-----
Example case 2: The arrows in the following image depict how the students moved.
user: Shivam is the youngest programmer in the world, he is just 12 years old. Shivam is learning programming and today he is writing his first program. 

Program is very simple, Given two integers A and B, write a program to add these two numbers.

-----Input-----

The first line contains an integer T, the total number of test cases. Then follow T lines, each line contains two Integers A and B. 

-----Output-----
For each test case, add A and B and display it in a new line.

-----Constraints-----
- 1 ≤ T ≤ 1000
- 0 ≤ A,B ≤ 10000

-----Example-----
Input
3 
1 2
100 200
10 40

Output
3
300
50
user: and Bengali as well.
There are N$N$ cats (numbered 1$1$ through N$N$) and M$M$ rats (numbered 1$1$ through M$M$) on a line. Each cat and each rat wants to move from some point to some (possibly the same) point on this line. Naturally, the cats also want to eat the rats when they get a chance. Both the cats and the rats can only move with constant speed 1$1$.
For each valid i$i$, the i$i$-th cat is initially sleeping at a point a_i$a_i$. At a time s_i$s_i$, this cat wakes up and starts moving to a final point b_i$b_i$ with constant velocity and without any detours (so it arrives at this point at the time e_i = s_i + |a_i-b_i|$e_i = s_i + |a_i-b_i|$). After it arrives at the point b_i$b_i$, it falls asleep again.
For each valid i$i$, the i$i$-th rat is initially hiding at a point c_i$c_i$. At a time r_i$r_i$, this rat stops hiding and starts moving to a final point d_i$d_i$ in the same way as the cats ― with constant velocity and without any detours, arriving at the time q_i = r_i + |c_i-d_i|$q_i = r_i + |c_i-d_i|$ (if it does not get eaten). After it arrives at the point d_i$d_i$, it hides again.
If a cat and a rat meet each other (they are located at the same point at the same time), the cat eats the rat, the rat disappears and cannot be eaten by any other cat. A sleeping cat cannot eat a rat and a hidden rat cannot be eaten ― formally, cat i$i$ can eat rat j$j$ only if they meet at a time t$t$ satisfying s_i \le t \le e_i$s_i \le t \le e_i$ and r_j \le t \le q_j$r_j \le t \le q_j$.
Your task is to find out which rats get eaten by which cats. It is guaranteed that no two cats will meet a rat at the same time.

-----Input-----
- The first line of the input contains a single integer T$T$ denoting the number of test cases. The description of T$T$ test cases follows.
- The first line of each test case contains two space-separated integers N$N$ and M$M$.
- N$N$ lines follow. For each i$i$ (1 \le i \le N$1 \le i \le N$), the i$i$-th of these lines contains three space-separated integers a_i$a_i$, b_i$b_i$ and s_i$s_i$.
- M$M$ more lines follow. For each i$i$ (1 \le i \le M$1 \le i \le M$), the i$i$-th of these lines contains three space-separated integers c_i$c_i$, d_i$d_i$ and r_i$r_i$.

-----Output-----
For each test case, print M$M$ lines. For each valid i$i$, the i$i$-th of these lines should contain a single integer ― the number of the cat that will eat the i$i$-th rat, or -1$-1$ if no cat will eat this rat.

-----Constraints-----
- 1 \le T \le 10$1 \le T \le 10$
- 0 \le N \le 1,000$0 \le N \le 1,000$
- 1 \le M \le 1,000$1 \le M \le 1,000$
- 1 \le a_i, b_i, s_i \le 10^9$1 \le a_i, b_i, s_i \le 10^9$ for each valid i$i$
- 1 \le c_i, d_i, r_i \le 10^9$1 \le c_i, d_i, r_i \le 10^9$ for each valid i$i$
- all initial and final positions of all cats and rats are pairwise distinct

-----Example Input-----
2
8 7
2 5 1
1 4 1
9 14 10
20 7 9
102 99 1
199 202 1
302 299 3
399 402 3
6 3 1
10 15 10
100 101 1
201 200 1
300 301 5
401 400 5
1000 1010 1020
8 8
2 8 2
12 18 2
22 28 4
32 38 4
48 42 2
58 52 3
68 62 1
78 72 3
3 6 3
13 19 3
21 25 3
31 39 3
46 43 4
59 53 2
65 61 4
79 71 2

-----Example Output-----
1
4
5
6
7
8
-1
1
2
3
4
5
6
7
8
user: Bob just learned about bitwise operators. Since Alice is an expert, she decided to play a game, she will give a number $x$ to Bob and will ask some questions:
There will be 4 different kinds of queries:-
- 
Alice gives an integer $i$ and Bob has to report the status of the $i^{th}$ bit in $x$, the answer is $"ON"$ if it is on else $"OFF"$.
- 
Alice gives an integer $i$ and Bob has to turn on the $i^{th}$ bit in $x$.
- 
Alice gives an integer $i$ and Bob has to turn off the $i^{th}$ bit in $x$.
- 
Alice gives two integers $p$ and $q$ and in the binary representation of $x$ Bob has to swap the $p^{th}$ and the $q^{th}$ bits.
The value of $x$ changes after any update operation.
positions $i$, $p$, and $q$ are always counted from the right or from the least significant bit.
If anyone of $i$, $p$, or $q$ is greater than the number of bits in the binary representation of $x$, consider $0$ at that position.

-----Input:-----
- First-line will contain $T$, the number of test cases. Then the test cases follow. 
- the first line of each test case contains two space-separated integers $x, Q$.
- $2Q$ lines follow.
- first line is an integer, the query type.
- for each query of type 1 to 3, there will be the integer $i$
- for the query of type 4, there will be two space-separated integers, the integers $p, q$

-----Output:-----
For the queries of the first kind, print $"ON"$ or $"OFF"$.

-----Constraints-----
- $1 \leq T \leq 10^3$
- $1 \leq x \leq 10^9$
- $1 \leq Q \leq 10^3$
- $1 \leq i,p,q \leq 30$

-----Sample Input-----
1
2 2
2 
1
1 
1

-----Sample Output:-----
ON

-----EXPLANATION:-----
the binary representation of 2 is 10
for query 1, we just have to update x to 11 (or 3 in decimal).
for the next query, x is now 3 or 11 in binary so the answer is ON.
user: Problem description.
Winston and Royce love sharing memes with each other. They express the amount of seconds they laughed ar a meme as the number of ‘XD’ subsequences in their messages. Being optimization freaks, they wanted to find the string with minimum possible length and having exactly the given number of ‘XD’ subsequences.

-----Input-----
- The first line of the input contains an integer T denoting the number of test cases.
- Next T lines contains a single integer N, the no of seconds laughed.

-----Output-----
- 
For each input, print the corresponding string having minimum length. If there are multiple possible answers, print any.

-----Constraints-----
- 1 ≤ T ≤ 1000
- 1 ≤ N ≤ 109
- 1 ≤ Sum of length of output over all testcases ≤ 5*105

-----Example-----
Input:
1
9

Output:
XXXDDD

-----Explanation-----
Some of the possible strings are - XXDDDXD,XXXDDD,XDXXXDD,XDXDXDD etc. Of these, XXXDDD is the smallest.