vgel/INTELLECT-2-RL-Dataset-Code-Only huggingface dataset:
Nauuo is a girl who loves writing comments.

One day, she posted a comment on Codeforces, wondering whether she would get upvotes or downvotes.

It's known that there were $x$ persons who would upvote, $y$ persons who would downvote, and there were also another $z$ persons who would vote, but you don't know whether they would upvote or downvote. Note that each of the $x+y+z$ people would vote exactly one time.

There are three different results: if there are more people upvote than downvote, the result will be "+"; if there are more people downvote than upvote, the result will be "-"; otherwise the result will be "0".

Because of the $z$ unknown persons, the result may be uncertain (i.e. there are more than one possible results). More formally, the result is uncertain if and only if there exist two different situations of how the $z$ persons vote, that the results are different in the two situations.

Tell Nauuo the result or report that the result is uncertain.


-----Input-----

The only line contains three integers $x$, $y$, $z$ ($0\le x,y,z\le100$), corresponding to the number of persons who would upvote, downvote or unknown.


-----Output-----

If there is only one possible result, print the result : "+", "-" or "0".

Otherwise, print "?" to report that the result is uncertain.


-----Examples-----
Input
3 7 0

Output
-
Input
2 0 1

Output
+
Input
1 1 0

Output
0
Input
0 0 1

Output
?


-----Note-----

In the first example, Nauuo would definitely get three upvotes and seven downvotes, so the only possible result is "-".

In the second example, no matter the person unknown downvotes or upvotes, Nauuo would get more upvotes than downvotes. So the only possible result is "+".

In the third example, Nauuo would definitely get one upvote and one downvote, so the only possible result is "0".

In the fourth example, if the only one person upvoted, the result would be "+", otherwise, the result would be "-". There are two possible results, so the result is uncertain.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Han Solo and Chewbacca start a space journey to planet Naboo on the Millennium Falcon. During the journey they land at a mysterious planet with high gravity where they find n diamond stones scattered all around. All the stones are of same weight. Each stone has a value according to its purity which can be detected by a special device. They choose to divide the stones fairly among themselves in two halves so that they carry almost equal weights such that the difference between the value of two halves is as small as possible. If n is even, then sizes of two halves must be strictly n/2 and if n is odd, then size of one half must be (n-1)/2 and size of the other half must be (n+1)/2. Given the value of stones, help them to divide the stones among themselves.

-----Input-----
First line consists of an integer n which denotes the number of stones.Second line consists of n space separated integers denoting the value of the stones.

-----Output-----
First line consists of the values of the stones assigned to Han Solo.Second line consists of the values of the stones assigned to Chewbacca.Assume that the set containing the first value in the input is always assigned to Han Solo.Also the values in the output sets must follow the same ordering as the input.

-----Constraints-----
The number of stones can range from 2 to 99.The values of the stones vary from 1 to 10^4.

-----Example-----
Input:
7
1 2 3 4 5 6 7

Output:
1 2 4 7
3 5 6

-----Explanation-----
These 7 values must be separated into 2 sets of sizes 3 and 4.In this case, it is possible to form two sets (1,2,4,7) & (3,5,6) of equal size.The set containing the first value (i.e.) 1 must be assigned to Han Solo and the elements of the output sets have the same order as the input.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Now Vasya is taking an exam in mathematics. In order to get a good mark, Vasya needs to guess the matrix that the teacher has constructed!

Vasya knows that the matrix consists of n rows and m columns. For each row, he knows the xor (bitwise excluding or) of the elements in this row. The sequence a_1, a_2, ..., a_{n} denotes the xor of elements in rows with indices 1, 2, ..., n, respectively. Similarly, for each column, he knows the xor of the elements in this column. The sequence b_1, b_2, ..., b_{m} denotes the xor of elements in columns with indices 1, 2, ..., m, respectively.

Help Vasya! Find a matrix satisfying the given constraints or tell him that there is no suitable matrix.


-----Input-----

The first line contains two numbers n and m (2 ≤ n, m ≤ 100) — the dimensions of the matrix.

The second line contains n numbers a_1, a_2, ..., a_{n} (0 ≤ a_{i} ≤ 10^9), where a_{i} is the xor of all elements in row i.

The third line contains m numbers b_1, b_2, ..., b_{m} (0 ≤ b_{i} ≤ 10^9), where b_{i} is the xor of all elements in column i.


-----Output-----

If there is no matrix satisfying the given constraints in the first line, output "NO".

Otherwise, on the first line output "YES", and then n rows of m numbers in each c_{i}1, c_{i}2, ... , c_{im} (0 ≤ c_{ij} ≤ 2·10^9) — the description of the matrix.

If there are several suitable matrices, it is allowed to print any of them.


-----Examples-----
Input
2 3
2 9
5 3 13

Output
YES
3 4 5
6 7 8

Input
3 3
1 7 6
2 15 12

Output
NO

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Polycarp lives on the coordinate axis $Ox$ and travels from the point $x=a$ to $x=b$. It moves uniformly rectilinearly at a speed of one unit of distance per minute.

On the axis $Ox$ at the point $x=c$ the base station of the mobile operator is placed. It is known that the radius of its coverage is $r$. Thus, if Polycarp is at a distance less than or equal to $r$ from the point $x=c$, then he is in the network coverage area, otherwise — no. The base station can be located both on the route of Polycarp and outside it.

Print the time in minutes during which Polycarp will not be in the coverage area of the network, with a rectilinear uniform movement from $x=a$ to $x=b$. His speed — one unit of distance per minute.


-----Input-----

The first line contains a positive integer $t$ ($1 \le t \le 1000$) — the number of test cases. In the following lines are written $t$ test cases.

The description of each test case is one line, which contains four integers $a$, $b$, $c$ and $r$ ($-10^8 \le a,b,c \le 10^8$, $0 \le r \le 10^8$) — the coordinates of the starting and ending points of the path, the base station, and its coverage radius, respectively.

Any of the numbers $a$, $b$ and $c$ can be equal (either any pair or all three numbers). The base station can be located both on the route of Polycarp and outside it.


-----Output-----

Print $t$ numbers — answers to given test cases in the order they are written in the test. Each answer is an integer — the number of minutes during which Polycarp will be unavailable during his movement.


-----Example-----
Input
9
1 10 7 1
3 3 3 0
8 2 10 4
8 2 10 100
-10 20 -17 2
-3 2 2 0
-3 1 2 0
2 3 2 3
-1 3 -2 2

Output
7
0
4
0
30
5
4
0
3



-----Note-----

The following picture illustrates the first test case.  [Image] Polycarp goes from $1$ to $10$. The yellow area shows the coverage area of the station with a radius of coverage of $1$, which is located at the point of $7$. The green area shows a part of the path when Polycarp is out of coverage area.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Chef likes inequalities. Please help him to solve next one.
Given four integers a, b, c, d. Find number of solutions x < y, where a ≤ x ≤ b and c ≤ y ≤ d and x, y integers.

-----Input-----
The first line contains an integer T denoting number of tests.
First line of each test case contains four positive integer numbers a, b, c and d.

-----Output-----
For each test case, output a single number each in separate line denoting number of integer solutions as asked in the problem.

-----Constraints-----
- 1 ≤ T ≤ 20 
- 1 ≤ a, b, c, d ≤ 106 

-----Subtasks-----
- Subtask #1: (30 points)  1 ≤ a, b, c, d ≤ 103.
- Subtask #2: (70 points)  Original constraints.

-----Example-----
Input:1
2 3 3 4

Output:3

Input:1
2 999999 1 1000000

Output:499998500001

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Karafs is some kind of vegetable in shape of an 1 × h rectangle. Tavaspolis people love Karafs and they use Karafs in almost any kind of food. Tavas, himself, is crazy about Karafs. [Image] 

Each Karafs has a positive integer height. Tavas has an infinite 1-based sequence of Karafses. The height of the i-th Karafs is s_{i} = A + (i - 1) × B.

For a given m, let's define an m-bite operation as decreasing the height of at most m distinct not eaten Karafses by 1. Karafs is considered as eaten when its height becomes zero.

Now SaDDas asks you n queries. In each query he gives you numbers l, t and m and you should find the largest number r such that l ≤ r and sequence s_{l}, s_{l} + 1, ..., s_{r} can be eaten by performing m-bite no more than t times or print -1 if there is no such number r.


-----Input-----

The first line of input contains three integers A, B and n (1 ≤ A, B ≤ 10^6, 1 ≤ n ≤ 10^5).

Next n lines contain information about queries. i-th line contains integers l, t, m (1 ≤ l, t, m ≤ 10^6) for i-th query.


-----Output-----

For each query, print its answer in a single line.


-----Examples-----
Input
2 1 4
1 5 3
3 3 10
7 10 2
6 4 8

Output
4
-1
8
-1

Input
1 5 2
1 5 10
2 7 4

Output
1
2

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Find the smallest prime palindrome greater than or equal to N.
Recall that a number is prime if it's only divisors are 1 and itself, and it is greater than 1. 
For example, 2,3,5,7,11 and 13 are primes.
Recall that a number is a palindrome if it reads the same from left to right as it does from right to left. 
For example, 12321 is a palindrome.
 

Example 1:
Input: 6
Output: 7


Example 2:
Input: 8
Output: 11


Example 3:
Input: 13
Output: 101



 
Note:

1 <= N <= 10^8
The answer is guaranteed to exist and be less than 2 * 10^8.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
The end sem exams at are over. Sneh is the class teacher of class X/C. She now has the hectic task of preparing the report card of her class.

Since Sneh is a computer teacher she tried to infuse some fun into his task. Sneh knew that there are n students in class and they had k subjects. Subjects are numbered from 1 to k and students have unique id from 1 to n.
She now wanted to know which student performed the worst in a group of subjects. She ordered those group priority wise that is if the group contained subjects 1 ,3 and 5 then while determining the worst performer initially subject 1 will be taken in consideration and only those students who have performed worst in subject 1(there might be a tie) will be considered for the next subject that is subject 3 and the rest will be eliminated and ultimately after all the subjects are considered the 
worst performer will be determined. If after considering all the subjects there is a tie among few students then the student with the smallest id will be the worst performer.
Help Sneh in determining the worst performer of his class.

Input Format:
First line contains n that is the number of students and k that is the toal number of subjects.
The next n line contains k integers denoting the marks obtained by the students in k subjects.
The next line contains q denoting the number of query you need to answer.
Each query contains a value x which indicates the number of subjects to be considered and then contains x distinct integers indicating the subjects to be considered arranged priority wise.

Output Format:
For each query output the unique id of the worst performer of the class.

Constraints:
1 ≤ n ≤ 1000
1 ≤ k ≤ 20
0 ≤ marks ≤ 100
1 ≤ q ≤ 1000  

SAMPLE INPUT
3 3
50 60 70
40 60 80
50 60 61
3
3 1 2 3
1 2
2 3 1

SAMPLE OUTPUT
2
1
3

Explanation

In query 1 we have to consider 3 subjects .First subject to consider priority wise is 1 and the worst performer in this subject is 2 and since there is no tie this is the final answer.

In query 2 we have to consider only 1 subject that is 2.Since there is a tie among all the students in this so student with the smallest id is selected.

In query 3 we have to consider 2 subjects .First one is 3 and the worst performer is 3.

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

Time Limit: None seconds

Memory Limit: None megabytes

Problem Description:
In Python, code blocks don't have explicit begin/end or curly braces to mark beginning and end of the block. Instead, code blocks are defined by indentation.

We will consider an extremely simplified subset of Python with only two types of statements.

Simple statements are written in a single line, one per line. An example of a simple statement is assignment.

For statements are compound statements: they contain one or several other statements. For statement consists of a header written in a separate line which starts with "for" prefix, and loop body. Loop body is a block of statements indented one level further than the header of the loop. Loop body can contain both types of statements. Loop body can't be empty.

You are given a sequence of statements without indentation. Find the number of ways in which the statements can be indented to form a valid Python program.

Input Specification:
The first line contains a single integer *N* (1<=≤<=*N*<=≤<=5000) — the number of commands in the program. *N* lines of the program follow, each line describing a single command. Each command is either "f" (denoting "for statement") or "s" ("simple statement"). It is guaranteed that the last line is a simple statement.

Output Specification:
Output one line containing an integer - the number of ways the given sequence of statements can be indented modulo 109<=+<=7.

Demo Input:
['4\ns\nf\nf\ns\n', '4\nf\ns\nf\ns\n']

Demo Output:
['1\n', '2\n']

Note:
In the first test case, there is only one way to indent the program: the second for statement must be part of the body of the first one.

In the second test case, there are two ways to indent the program: the second for statement can either be part of the first one's body or a separate statement following the first one.

or

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Unfortunately Crookshanks(Laurent's cat) has eaten the problem statement. Are you good enough to solve it without the statement?

Input Format:

The first line contains T denoting the number of test cases. The next T lines describe test cases and contain two integers each: X and Y.

Output Format:

For each test case print one answer for that test case.

Constraints:

T ≤ 1000

1  ≤ X,Y  ≤ 10^9

SAMPLE INPUT
6
37 1
26 1
42 1
50 2
371592 2
136520 1532

SAMPLE OUTPUT
58
40
20
29
118
16

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Two participants are each given a pair of distinct numbers from 1 to 9 such that there's exactly one number that is present in both pairs. They want to figure out the number that matches by using a communication channel you have access to without revealing it to you.

Both participants communicated to each other a set of pairs of numbers, that includes the pair given to them. Each pair in the communicated sets comprises two different numbers.

Determine if you can with certainty deduce the common number, or if you can determine with certainty that both participants know the number but you do not.


-----Input-----

The first line contains two integers $n$ and $m$ ($1 \le n, m \le 12$) — the number of pairs the first participant communicated to the second and vice versa.

The second line contains $n$ pairs of integers, each between $1$ and $9$, — pairs of numbers communicated from first participant to the second.

The third line contains $m$ pairs of integers, each between $1$ and $9$, — pairs of numbers communicated from the second participant to the first.

All pairs within each set are distinct (in particular, if there is a pair $(1,2)$, there will be no pair $(2,1)$ within the same set), and no pair contains the same number twice.

It is guaranteed that the two sets do not contradict the statements, in other words, there is pair from the first set and a pair from the second set that share exactly one number.


-----Output-----

If you can deduce the shared number with certainty, print that number.

If you can with certainty deduce that both participants know the shared number, but you do not know it, print $0$.

Otherwise print $-1$.


-----Examples-----
Input
2 2
1 2 3 4
1 5 3 4

Output
1

Input
2 2
1 2 3 4
1 5 6 4

Output
0

Input
2 3
1 2 4 5
1 2 1 3 2 3

Output
-1



-----Note-----

In the first example the first participant communicated pairs $(1,2)$ and $(3,4)$, and the second communicated $(1,5)$, $(3,4)$. Since we know that the actual pairs they received share exactly one number, it can't be that they both have $(3,4)$. Thus, the first participant has $(1,2)$ and the second has $(1,5)$, and at this point you already know the shared number is $1$.

In the second example either the first participant has $(1,2)$ and the second has $(1,5)$, or the first has $(3,4)$ and the second has $(6,4)$. In the first case both of them know the shared number is $1$, in the second case both of them know the shared number is $4$. You don't have enough information to tell $1$ and $4$ apart.

In the third case if the first participant was given $(1,2)$, they don't know what the shared number is, since from their perspective the second participant might have been given either $(1,3)$, in which case the shared number is $1$, or $(2,3)$, in which case the shared number is $2$. While the second participant does know the number with certainty, neither you nor the first participant do, so the output is $-1$.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
![](http://www.grindtv.com/wp-content/uploads/2015/08/drone.jpg)

The other day I saw an amazing video where a guy hacked some wifi controlled lightbulbs by flying a drone past them. Brilliant.

In this kata we will recreate that stunt... sort of.

You will be given two strings: `lamps` and `drone`. `lamps` represents a row of lamps, currently off, each represented by `x`. When these lamps are on, they should be represented by `o`.

The `drone` string represents the position of the drone `T` (any better suggestion for character??) and its flight path up until this point `=`. The drone always flies left to right, and always begins at the start of the row of lamps. Anywhere the drone has flown, including its current position, will result in the lamp at that position switching on.

Return the resulting `lamps` string. See example tests for more clarity.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
You are given two integers $n$ and $k$.

Your task is to construct such a string $s$ of length $n$ that for each $i$ from $1$ to $k$ there is at least one $i$-th letter of the Latin alphabet in this string (the first letter is 'a', the second is 'b' and so on) and there are no other letters except these. You have to maximize the minimal frequency of some letter (the frequency of a letter is the number of occurrences of this letter in a string). If there are several possible answers, you can print any.

You have to answer $t$ independent queries.


-----Input-----

The first line of the input contains one integer $t$ ($1 \le t \le 100$) — the number of queries.

The next $t$ lines are contain queries, one per line. The $i$-th line contains two integers $n_i$ and $k_i$ ($1 \le n_i \le 100, 1 \le k_i \le min(n_i, 26)$) — the length of the string in the $i$-th query and the number of characters in the $i$-th query.


-----Output-----

Print $t$ lines. In the $i$-th line print the answer to the $i$-th query: any string $s_i$ satisfying the conditions in the problem statement with constraints from the $i$-th query.


-----Example-----
Input
3
7 3
4 4
6 2

Output
cbcacab
abcd
baabab



-----Note-----

In the first example query the maximum possible minimal frequency is $2$, it can be easily seen that the better answer doesn't exist. Other examples of correct answers: "cbcabba", "ccbbaaa" (any permutation of given answers is also correct).

In the second example query any permutation of first four letters is acceptable (the maximum minimal frequency is $1$).

In the third example query any permutation of the given answer is acceptable (the maximum minimal frequency is $3$).

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Chef is looking to buy a TV and has shortlisted two models. The first one costs A rupees, while the second one costs B rupees.

Since there is a huge sale coming up on Chefzon, Chef can get a flat discount of C rupees on the first TV, and a flat discount of D rupees on the second one.

Help Chef determine which of the two TVs would be cheaper to buy during the sale.

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

- The first line contains a single integer T — the number of test cases. Then the test cases follow.
- The first and only line of each test case contains four space-separated integers A, B, C and D — the marked price (in rupees) of the first TV, the marked price (in rupees) of the second TV, the flat discount (in rupees) of the first TV, and the flat discount (in rupees) of the second TV.

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

For each test case, print a single line containing the string First if the first TV is cheaper to buy with discount, or Second if the second TV is cheaper to buy with discount. If both of them cost the same after discount, print Any.

You may print each character of the string in uppercase or lowercase (for example, the strings first, First, fIRSt, and FIRST will all be treated as identical).

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

$1 ≤ T ≤ 5000$
$1 ≤ A, B ≤ 100$
$0 ≤ C ≤ A$
$0 ≤ D ≤ B$

----- Sample Input 1 ------ 
3
85 75 35 20
100 99 0 0
30 40 0 10

----- Sample Output 1 ------ 
First
Second
Any

----- explanation 1 ------ 
Test case $1$: The cost of the first TV after discount is $85 - 35 = 50$, while the cost of the second TV after discount is $75 - 20 = 55$. Thus the first TV is cheaper to buy than the second.

Test case $2$: The cost of the first TV after discount is $100 - 0 = 100$, while the cost of the second TV after discount is $99 - 0 = 99$. Thus the second TV is cheaper to buy than the first.

Test case $3$: The cost of the first TV after discount is $30 - 0 = 30$, while the cost of the second TV after discount is $40 - 10 = 30$. Since they are equal, Chef can buy any of them.

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