vgel/INTELLECT-2-RL-Dataset-Code-Only huggingface dataset:
Harish has decided to go to Arya's hotel this morning. We all know he is crazy for masala dosas. And as usual he is always hungry. He decided to order all the masala dosas at once. But then he realised that he did not have enough money to buy all of them. So he decided to share the amount with his friend Ozil. But both of them are fans of even numbers. Both of them says they want to eat even number of dosas. Ozil is ready to put the share if and only if , he is sure that he can get even number of dosas. So given N number of dosas can you please help Harish to decide, if he will be able to get all the dosas at once from the hotel.

-----Input-----
The first line of input contains an integer T which denotes the number of test files. Next T lines contains an integer N where N is the total number of dosas.

-----Output-----
Print "YES" if both can get even number of dosas. If it is not possible print "NO".

-----Constraints-----
- 1 ≤ T ≤ 10^6
- 1 ≤ N ≤ 10^18

-----Subtasks-----
Subtask #1 : (20 points)
- 1 ≤ T ≤ 10
- 1 ≤ N≤ 100

Subtask 2 : (80 points) 

- 1 ≤ T ≤ 10^6
- 1 ≤ N≤ 10^18

-----Example-----
Input:
2 
16 
27
Output:
YES
NO

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
A sophomore Computer Science student is frustrated with boring college lectures. Professor X agreed to give him some questions; if the student answers all questions correctly, then minimum attendance criteria will not apply to him.
Professor X chooses a sequence $A_1, A_2, \ldots, A_N$ and asks $Q$ queries. In each query, the student is given an integer $P$; he has to construct a sequence $B_1, B_2, \ldots, B_N$, where $P \oplus A_i = B_i$ for each valid $i$ ($\oplus$ denotes bitwise XOR), and then he has to find the number of elements of this sequence which have an even number of $1$-s in the binary representation and the number of elements with an odd number of $1$-s in the binary representation. Help him answer the queries.

-----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 two space-separated integers $N$ and $Q$.
- The second line contains $N$ space-separated integers $A_1, A_2, \ldots, A_N$.
- $Q$ lines follow. Each of these lines contains a single integer $P$ describing a query.

-----Output-----
For each query, print a single line containing two space-separated integers ― the number of elements with an even number of $1$-s and the number of elements with an odd number of $1$-s in the binary representation.

-----Constraints-----
- $1 \le T \le 100$
- $1 \le N, Q \le 10^5$
- $ T \cdot (N+Q) \leq 4 \cdot 10^6 $
- $1 \le A_i \le 10^8$ for each valid $i$
- $1 \le P \le 10^5$
The input/output is quite large, please use fast reading and writing methods.

-----Subtasks-----
Subtask #1 (30 points): $N, Q \le 1,000$
Subtask #2 (70 points): original constraints

-----Example Input-----
1
6 1
4 2 15 9 8 8
3

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

-----Explanation-----
Example case 1: The elements of the sequence $B$ are $P \oplus 4 = 7$, $P \oplus 2 = 1$, $P \oplus 15 = 12$, $P \oplus 9 = 10$, $P \oplus 8 = 11$ and $P \oplus 8 = 11$. The elements which have an even number of $1$-s in the binary representation are $12$ and $10$, while the elements with an odd number of $1$-s are $7$, $1$, $11$ and $11$.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Title: USB vs. PS/2

Time Limit: None seconds

Memory Limit: None megabytes

Problem Description:
Due to the increase in the number of students of Berland State University it was decided to equip a new computer room. You were given the task of buying mouses, and you have to spend as little as possible. After all, the country is in crisis!

The computers bought for the room were different. Some of them had only USB ports, some — only PS/2 ports, and some had both options.

You have found a price list of a certain computer shop. In it, for *m* mouses it is specified the cost and the type of the port that is required to plug the mouse in (USB or PS/2). Each mouse from the list can be bought at most once.

You want to buy some set of mouses from the given price list in such a way so that you maximize the number of computers equipped with mouses (it is not guaranteed that you will be able to equip all of the computers), and in case of equality of this value you want to minimize the total cost of mouses you will buy.

Input Specification:
The first line contains three integers *a*, *b* and *c* (0<=≤<=*a*,<=*b*,<=*c*<=≤<=105)  — the number of computers that only have USB ports, the number of computers, that only have PS/2 ports, and the number of computers, that have both options, respectively.

The next line contains one integer *m* (0<=≤<=*m*<=≤<=3·105)  — the number of mouses in the price list.

The next *m* lines each describe another mouse. The *i*-th line contains first integer *val**i* (1<=≤<=*val**i*<=≤<=109)  — the cost of the *i*-th mouse, then the type of port (USB or PS/2) that is required to plug the mouse in.

Output Specification:
Output two integers separated by space — the number of equipped computers and the total cost of the mouses you will buy.

Demo Input:
['2 1 1\n4\n5 USB\n6 PS/2\n3 PS/2\n7 PS/2\n']

Demo Output:
['3 14\n']

Note:
In the first example you can buy the first three mouses. This way you will equip one of the computers that has only a USB port with a USB mouse, and the two PS/2 mouses you will plug into the computer with PS/2 port and the computer with both ports.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Title: Design Tutorial: Make It Nondeterministic

Time Limit: None seconds

Memory Limit: None megabytes

Problem Description:
A way to make a new task is to make it nondeterministic or probabilistic. For example, the hard task of Topcoder SRM 595, Constellation, is the probabilistic version of a convex hull.

Let's try to make a new task. Firstly we will use the following task. There are *n* people, sort them by their name. It is just an ordinary sorting problem, but we can make it more interesting by adding nondeterministic element. There are *n* people, each person will use either his/her first name or last name as a handle. Can the lexicographical order of the handles be exactly equal to the given permutation *p*?

More formally, if we denote the handle of the *i*-th person as *h**i*, then the following condition must hold: .

Input Specification:
The first line contains an integer *n* (1<=≤<=*n*<=≤<=105) — the number of people.

The next *n* lines each contains two strings. The *i*-th line contains strings *f**i* and *s**i* (1<=≤<=|*f**i*|,<=|*s**i*|<=≤<=50) — the first name and last name of the *i*-th person. Each string consists only of lowercase English letters. All of the given 2*n* strings will be distinct.

The next line contains *n* distinct integers: *p*1,<=*p*2,<=...,<=*p**n* (1<=≤<=*p**i*<=≤<=*n*).

Output Specification:
If it is possible, output "YES", otherwise output "NO".

Demo Input:
['3\ngennady korotkevich\npetr mitrichev\ngaoyuan chen\n1 2 3\n', '3\ngennady korotkevich\npetr mitrichev\ngaoyuan chen\n3 1 2\n', '2\ngalileo galilei\nnicolaus copernicus\n2 1\n', '10\nrean schwarzer\nfei claussell\nalisa reinford\neliot craig\nlaura arseid\njusis albarea\nmachias regnitz\nsara valestin\nemma millstein\ngaius worzel\n1 2 3 4 5 6 7 8 9 10\n', '10\nrean schwarzer\nfei claussell\nalisa reinford\neliot craig\nlaura arseid\njusis albarea\nmachias regnitz\nsara valestin\nemma millstein\ngaius worzel\n2 4 9 6 5 7 1 3 8 10\n']

Demo Output:
['NO\n', 'YES\n', 'YES\n', 'NO\n', 'YES\n']

Note:
In example 1 and 2, we have 3 people: tourist, Petr and me (cgy4ever). You can see that whatever handle is chosen, I must be the first, then tourist and Petr must be the last.

In example 3, if Copernicus uses "copernicus" as his handle, everything will be alright.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Title: Little Elephant and Elections

Time Limit: None seconds

Memory Limit: None megabytes

Problem Description:
There have recently been elections in the zoo. Overall there were 7 main political parties: one of them is the Little Elephant Political Party, 6 other parties have less catchy names.

Political parties find their number in the ballot highly important. Overall there are *m* possible numbers: 1,<=2,<=...,<=*m*. Each of these 7 parties is going to be assigned in some way to exactly one number, at that, two distinct parties cannot receive the same number.

The Little Elephant Political Party members believe in the lucky digits 4 and 7. They want to evaluate their chances in the elections. For that, they need to find out, how many correct assignments are there, such that the number of lucky digits in the Little Elephant Political Party ballot number is strictly larger than the total number of lucky digits in the ballot numbers of 6 other parties. 

Help the Little Elephant Political Party, calculate this number. As the answer can be rather large, print the remainder from dividing it by 1000000007 (109<=+<=7).

Input Specification:
A single line contains a single positive integer *m* (7<=≤<=*m*<=≤<=109) — the number of possible numbers in the ballot.

Output Specification:
In a single line print a single integer — the answer to the problem modulo 1000000007 (109<=+<=7).

Demo Input:
['7\n', '8\n']

Demo Output:
['0\n', '1440\n']

Note:
none

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

Time Limit: None seconds

Memory Limit: None megabytes

Problem Description:
A thief made his way to a shop.

As usual he has his lucky knapsack with him. The knapsack can contain *k* objects. There are *n* kinds of products in the shop and an infinite number of products of each kind. The cost of one product of kind *i* is *a**i*.

The thief is greedy, so he will take exactly *k* products (it's possible for some kinds to take several products of that kind).

Find all the possible total costs of products the thief can nick into his knapsack.

Input Specification:
The first line contains two integers *n* and *k* (1<=≤<=*n*,<=*k*<=≤<=1000) — the number of kinds of products and the number of products the thief will take.

The second line contains *n* integers *a**i* (1<=≤<=*a**i*<=≤<=1000) — the costs of products for kinds from 1 to *n*.

Output Specification:
Print the only line with all the possible total costs of stolen products, separated by a space. The numbers should be printed in the ascending order.

Demo Input:
['3 2\n1 2 3\n', '5 5\n1 1 1 1 1\n', '3 3\n3 5 11\n']

Demo Output:
['2 3 4 5 6\n', '5\n', '9 11 13 15 17 19 21 25 27 33\n']

Note:
none

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Since you are the best Wraith King, Nizhniy Magazin «Mir» at the centre of Vinnytsia is offering you a discount.

You are given an array a of length n and an integer c. 

The value of some array b of length k is the sum of its elements except for the $\lfloor \frac{k}{c} \rfloor$ smallest. For example, the value of the array [3, 1, 6, 5, 2] with c = 2 is 3 + 6 + 5 = 14.

Among all possible partitions of a into contiguous subarrays output the smallest possible sum of the values of these subarrays.


-----Input-----

The first line contains integers n and c (1 ≤ n, c ≤ 100 000).

The second line contains n integers a_{i} (1 ≤ a_{i} ≤ 10^9) — elements of a.


-----Output-----

Output a single integer  — the smallest possible sum of values of these subarrays of some partition of a.


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

Output
6

Input
12 10
1 1 10 10 10 10 10 10 9 10 10 10

Output
92

Input
7 2
2 3 6 4 5 7 1

Output
17

Input
8 4
1 3 4 5 5 3 4 1

Output
23



-----Note-----

In the first example any partition yields 6 as the sum.

In the second example one of the optimal partitions is [1, 1], [10, 10, 10, 10, 10, 10, 9, 10, 10, 10] with the values 2 and 90 respectively.

In the third example one of the optimal partitions is [2, 3], [6, 4, 5, 7], [1] with the values 3, 13 and 1 respectively.

In the fourth example one of the optimal partitions is [1], [3, 4, 5, 5, 3, 4], [1] with the values 1, 21 and 1 respectively.

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

Time Limit: None seconds

Memory Limit: None megabytes

Problem Description:
Polycarp has a strict daily schedule. He has *n* alarms set for each day, and the *i*-th alarm rings each day at the same time during exactly one minute.

Determine the longest time segment when Polycarp can sleep, i. e. no alarm rings in that period. It is possible that Polycarp begins to sleep in one day, and wakes up in another.

Input Specification:
The first line contains a single integer *n* (1<=≤<=*n*<=≤<=100) — the number of alarms.

Each of the next *n* lines contains a description of one alarm. Each description has a format "hh:mm", where *hh* is the hour when the alarm rings, and *mm* is the minute of that hour when the alarm rings. The number of hours is between 0 and 23, and the number of minutes is between 0 and 59. All alarm times are distinct. The order of the alarms is arbitrary.

Each alarm starts ringing in the beginning of the corresponding minute and rings for exactly one minute (i. e. stops ringing in the beginning of the next minute). Polycarp can start sleeping instantly when no alarm is ringing, and he wakes up at the moment when some alarm starts ringing.

Output Specification:
Print a line in format "hh:mm", denoting the maximum time Polycarp can sleep continuously. *hh* denotes the number of hours, and *mm* denotes the number of minutes. The number of minutes should be between 0 and 59. Look through examples to understand the format better.

Demo Input:
['1\n05:43\n', '4\n22:00\n03:21\n16:03\n09:59\n']

Demo Output:
['23:59\n', '06:37\n']

Note:
In the first example there is only one alarm which rings during one minute of a day, and then rings again on the next day, 23 hours and 59 minutes later. Polycarp can sleep all this time.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Kevin thinks that array A is beautiful if
It contains N positive integers.
It doesn't contain any bad numbers.
There doesn't exist any number x and tuple (y1, y2, ..., yK) such that Ax = Ay1 ·  Ay2 · ...  ·  AyK (yi < x). 

Kevin knows M bad numbers Bi. Kevin also knows that 1 isn't a bad number. Now he wants to find lexicographically smallest beautiful array.

Input format:

The first line of the input contains three numbers N, K, M.  The next line contains M integers - Bi.

Output format:

Output N integers - lexicographically smallest beautiful array.

Constraints:
2 ≤ N, K ≤ 2 · 10^4 
0 ≤ M ≤ 2 · 10^4
0 ≤ Bi ≤ 10^9
N, M, K ≤ 100 in test data worth 20% of all points
M = 0 in test data worth 20% of all points

SAMPLE INPUT
7 2 3
4 7 47

SAMPLE OUTPUT
1 2 3 5 8 11 12

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

Suppose there is a circle. There are N Juice shops on that circle. Juice shops are numbered 0 to N-1 (both inclusive). You have two pieces of information corresponding to each of the juice shop:
(1) the amount of Juice that a particular Juice shop can provide and 
(2) the distance from that juice shop to the next juice shop.

Initially, there is a man with a bottle of infinite capacity carrying no juice. He can start the tour at any of the juice shops. Calculate the first point from where the man will be able to complete the circle. Consider that the man will stop at every Juice Shop. The man will move one kilometer for each litre of the juice.

-----Input-----
- 
The first line will contain the value of N.
				
- 
The next N lines will contain a pair of integers each, i.e. the amount of juice that a juice shop can provide(in litres) and the distance between that juice shop and the next juice shop.
				

-----Output-----

An integer which will be the smallest index of the juice shop from which he can start the tour.
		

-----Constraints-----
- 
					1 ≤ N ≤ 105
- 
					1 ≤ amt of juice, distance  ≤ 109

-----Sample Input-----
3

1 5

10 3

3 4

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

-----Explanation-----

			He can start the tour from the SECOND Juice shop.
		 p { text-align:justify }

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Kyoya Ootori is selling photobooks of the Ouran High School Host Club. He has 26 photos, labeled "a" to "z", and he has compiled them into a photo booklet with some photos in some order (possibly with some photos being duplicated). A photo booklet can be described as a string of lowercase letters, consisting of the photos in the booklet in order. He now wants to sell some "special edition" photobooks, each with one extra photo inserted anywhere in the book. He wants to make as many distinct photobooks as possible, so he can make more money. He asks Haruhi, how many distinct photobooks can he make by inserting one extra photo into the photobook he already has?

Please help Haruhi solve this problem.


-----Input-----

The first line of input will be a single string s (1 ≤ |s| ≤ 20). String s consists only of lowercase English letters. 


-----Output-----

Output a single integer equal to the number of distinct photobooks Kyoya Ootori can make.


-----Examples-----
Input
a

Output
51

Input
hi

Output
76



-----Note-----

In the first case, we can make 'ab','ac',...,'az','ba','ca',...,'za', and 'aa', producing a total of 51 distinct photo booklets.

Write Python code to solve the problem. Present the code in 
```python
Your code
```
at the end.
Title: MUH and Important Things

Time Limit: None seconds

Memory Limit: None megabytes

Problem Description:
It's time polar bears Menshykov and Uslada from the zoo of St. Petersburg and elephant Horace from the zoo of Kiev got down to business. In total, there are *n* tasks for the day and each animal should do each of these tasks. For each task, they have evaluated its difficulty. Also animals decided to do the tasks in order of their difficulty. Unfortunately, some tasks can have the same difficulty, so the order in which one can perform the tasks may vary.

Menshykov, Uslada and Horace ask you to deal with this nuisance and come up with individual plans for each of them. The plan is a sequence describing the order in which an animal should do all the *n* tasks. Besides, each of them wants to have its own unique plan. Therefore three plans must form three different sequences. You are to find the required plans, or otherwise deliver the sad news to them by stating that it is impossible to come up with three distinct plans for the given tasks.

Input Specification:
The first line contains integer *n* (1<=≤<=*n*<=≤<=2000) — the number of tasks. The second line contains *n* integers *h*1,<=*h*2,<=...,<=*h**n* (1<=≤<=*h**i*<=≤<=2000), where *h**i* is the difficulty of the *i*-th task. The larger number *h**i* is, the more difficult the *i*-th task is.

Output Specification:
In the first line print "YES" (without the quotes), if it is possible to come up with three distinct plans of doing the tasks. Otherwise print in the first line "NO" (without the quotes). If three desired plans do exist, print in the second line *n* distinct integers that represent the numbers of the tasks in the order they are done according to the first plan. In the third and fourth line print two remaining plans in the same form.

If there are multiple possible answers, you can print any of them.

Demo Input:
['4\n1 3 3 1\n', '5\n2 4 1 4 8\n']

Demo Output:
['YES\n1 4 2 3 \n4 1 2 3 \n4 1 3 2 \n', 'NO']

Note:
In the first sample the difficulty of the tasks sets one limit: tasks 1 and 4 must be done before tasks 2 and 3. That gives the total of four possible sequences of doing tasks : [1, 4, 2, 3], [4, 1, 2, 3], [1, 4, 3, 2], [4, 1, 3, 2]. You can print any three of them in the answer.

In the second sample there are only two sequences of tasks that meet the conditions — [3, 1, 2, 4, 5] and [3, 1, 4, 2, 5]. Consequently, it is impossible to make three distinct sequences of tasks.

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

Time Limit: None seconds

Memory Limit: None megabytes

Problem Description:
There is a programming language in which every program is a non-empty sequence of "&lt;" and "&gt;" signs and digits. Let's explain how the interpreter of this programming language works. A program is interpreted using movement of instruction pointer (IP) which consists of two parts.
 -  Current character pointer (CP); -  Direction pointer (DP) which can point left or right; 
Initially CP points to the leftmost character of the sequence and DP points to the right.

We repeat the following steps until the first moment that CP points to somewhere outside the sequence.
 -  If CP is pointing to a digit the interpreter prints that digit then CP moves one step according to the direction of DP. After that the value of the printed digit in the sequence decreases by one. If the printed digit was 0 then it cannot be decreased therefore it's erased from the sequence and the length of the sequence decreases by one. -  If CP is pointing to "&lt;" or "&gt;" then the direction of DP changes to "left" or "right" correspondingly. Then CP moves one step according to DP. If the new character that CP is pointing to is "&lt;" or "&gt;" then the previous character will be erased from the sequence. 
If at any moment the CP goes outside of the sequence the execution is terminated.

It's obvious the every program in this language terminates after some steps.

We have a sequence *s*1,<=*s*2,<=...,<=*s**n* of "&lt;", "&gt;" and digits. You should answer *q* queries. Each query gives you *l* and *r* and asks how many of each digit will be printed if we run the sequence *s**l*,<=*s**l*<=+<=1,<=...,<=*s**r* as an independent program in this language.

Input Specification:
The first line of input contains two integers *n* and *q* (1<=≤<=*n*,<=*q*<=≤<=100) — represents the length of the sequence *s* and the number of queries. 

The second line contains *s*, a sequence of "&lt;", "&gt;" and digits (0..9) written from left to right. Note, that the characters of *s* are not separated with spaces. 

The next *q* lines each contains two integers *l**i* and *r**i* (1<=≤<=*l**i*<=≤<=*r**i*<=≤<=*n*) — the *i*-th query.

Output Specification:
For each query print 10 space separated integers: *x*0,<=*x*1,<=...,<=*x*9 where *x**i* equals the number of times the interpreter prints *i* while running the corresponding program. Print answers to the queries in the order they are given in input.

Demo Input:
['7 4\n1&gt;3&gt;22&lt;\n1 3\n4 7\n7 7\n1 7\n']

Demo Output:
['0 1 0 1 0 0 0 0 0 0 \n2 2 2 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 \n2 3 2 1 0 0 0 0 0 0 \n']

Note:
none

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