prompt stringlengths 66 14k | chosen listlengths 2 2 | rejected listlengths 2 2 | neutral bool 2 classes |
|---|---|---|---|
Write Python code to solve the task:
Taro is an elementary school student who has just learned multiplication. Somehow, he likes multiplication, so when he sees numbers, he wants to multiply. He seems to like to do the following for integers greater than or equal to 0. (Processing flow)
* Procedure 1. If a certain integer n greater than or equal to 0 is a single digit in decimal notation, the process ends there. Otherwise go to step 2
* Step 2. When an integer n of 10 or more is displayed in decimal, it is possible to break it into two numbers by inserting a break between some digits (for example, 2012-> 20, 12). For possible cutting methods like this, multiply the two obtained numbers and set the largest one as the next n, and return to step 1. (For details, see "Supplementary information on step 2" below.)
Taro seems to like this process, but I can't predict how many times step 2 should be repeated, and I think it may have to be done infinitely. So I asked Taro's older brother and college student how many times this step 2 should be done for an integer n greater than or equal to 0.
Your job is to give Q integers greater than or equal to 0 N1 .. NQ, so find out how many steps 2 will be performed on each integer before the end of the process. If you need an infinite number of steps, output -1.
Supplement on step 2
You should also take into account those that have a 0 at the beginning of the digit as a result of the isolation.
For example, when n = 1024, 1 * 024, 10 * 24, and 102 * 4 are calculated as 24,240,408, respectively, so 408 is selected and this is the next n.
Constraints
> 1 ≤ Q ≤ 100
> 0 ≤ Ni ≤ 106
>
Input
> Q
> N1
> N2
> ...
> NQ
>
* Q represents the number of integers greater than or equal to 0 given
* Ni is an integer greater than or equal to 0 that Taro is interested in, and represents the i-th one.
Output
Output Q integers separated by line breaks
> R1
> R2
> ..
> RQ
>
* Ri represents the number of times step 2 is executed before the processing is completed for Ni.
* Ri is -1 if step 2 needs to be performed infinitely for Ni
Examples
Input
3
9
99
123
Output
0
2
3
Input
2
999999
1000000
Output
12
1 | [
{
"content": "Write Python code to solve the task:\nTaro is an elementary school student who has just learned multiplication. Somehow, he likes multiplication, so when he sees numbers, he wants to multiply. He seems to like to do the following for integers greater than or equal to 0. (Processing flow)\n\n* Proc... | [
{
"content": "Write Python code to solve the task:\nTaro is an elementary school student who has just learned multiplication. Somehow, he likes multiplication, so when he sees numbers, he wants to multiply. He seems to like to do the following for integers greater than or equal to 0. (Processing flow)\n\n* Proc... | true |
Write Python code to solve the task:
Given the following table (only the first 5 rows are shown):
Representative Title From To Appointed by
0 William Shaler Special Diplomatic Agent 1810 1812.0 James Madison
1 John H. Robinson Special Diplomatic Agent 1812 1814.0 James Madison
2 Joel Roberts Poinsett Minister 1825 1829.0 John Quincy Adams
3 Anthony Butler Special Diplomatic Agent 1829 NaN NaN
4 Anthony Butler Chargé d'Affaires 1829 1835.0 NaN
Write a Pandas query to find the answer to the question: at least what number of people have the title minister.
The dataframe is preloaded for you and can be accessed within <execute> block via the variable `df`. | [
{
"content": "Write Python code to solve the task:\nGiven the following table (only the first 5 rows are shown):\n Representative Title From To Appointed by\n0 William Shaler Special Diplomatic Agent 1810 1812.0 James Madison\n1 John H. Robinson Sp... | [
{
"content": "Write Python code to solve the task:\nGiven the following table (only the first 5 rows are shown):\n Representative Title From To Appointed by\n0 William Shaler Special Diplomatic Agent 1810 1812.0 James Madison\n1 John H. Robinson Sp... | true |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
A right circular cone has base radius $r$ and height $h$. The cone lies on its side on a flat table. As the cone rolls on the surface of the table without slipping, the point where the cone's base meets the table traces a circular arc centered at the point where the vertex touches the table. The cone first returns to its original position on the table after making $17$ complete rotations. The value of $h/r$ can be written in the form $m\sqrt {n}$, where $m$ and $n$ are positive integers and $n$ is not divisible by the square of any prime. Find $m + n$. | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nA right circular cone has base radius $r$ and height $h$. The cone lies on its side on a flat table. As the cone rolls on the surface of the table without s... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nA right circular cone has base radius $r$ and height $h$. The cone lies on its side on a flat table. As the cone rolls on the surface of the table without s... | true |
Tool available:
[1] Python interpreter
When you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.
Solve the following math problem step-by-step.
Simplify your answer as much as possible.
Find the greatest common factor of 5! and 6!. (Reminder: If $n$ is a positive integer, then $n!$ stands for the product $1\cdot 2\cdot 3\cdot \cdots \cdot (n-1)\cdot n$.) | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nFind the greatest common factor of 5! and 6... | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nFind the greatest common factor of 5! and 6... | false |
Write Python code to solve the task:
Chef had an array A of length N such that 1 ≤ A_{i} ≤ N for all 1 ≤ i ≤ N. Chef constructed another binary array B of length N in the following manner:
B_{i} = 1 if the frequency of element i in A is *odd*.
B_{i} = 0 if the frequency of element i in A is *even*.
Such an array B is called the *parity encoding* array of A.
For example, if A = [1, 1, 2, 3], then B = [0, 1, 1, 0].
Unfortunately, Chef completely forgot the array A and vaguely remembers the *parity encoding* array B. He is now wondering whether there exists any valid array A for which the *parity encoding* array is B. Can you help Chef?
------ Input Format ------
- The first line contains a single integer T — the number of test cases. Then the test cases follow.
- The first line of each test case contains an integer N — the size of the arrays A and B.
- The second line of each test case contains N space-separated integers B_{1}, B_{2}, \dots, B_{N} denoting the *parity encoding* array B.
------ Output Format ------
For each test case, output YES if there exists any valid array A for which the *parity encoding* array is B. Otherwise, output NO.
You may print each character of YES and NO in uppercase or lowercase (for example, yes, yEs, Yes will be considered identical).
------ Constraints ------
$1 ≤ T ≤ 10^{5}$
$1 ≤ N ≤ 10^{5}$
$B_{i} \in \{0, 1\}$
- Sum of $N$ over all test cases does not exceed $2 \cdot 10^{5}$.
----- Sample Input 1 ------
3
4
0 1 0 1
5
1 1 1 1 0
6
1 1 1 1 1 1
----- Sample Output 1 ------
YES
NO
YES
----- explanation 1 ------
Test case $1$: $A = [2, 4, 3, 3]$ is a valid array for the given array $B$.
Test case $2$: It can be proven that there does not exist any array $A$ for the given parity encoding array $B$.
Test case $3$: $A = [1, 2, 3, 4, 5, 6]$ is a valid array for the given array $B$. | [
{
"content": "Write Python code to solve the task:\nChef had an array A of length N such that 1 ≤ A_{i} ≤ N for all 1 ≤ i ≤ N. Chef constructed another binary array B of length N in the following manner:\nB_{i} = 1 if the frequency of element i in A is *odd*.\nB_{i} = 0 if the frequency of element i in A is *ev... | [
{
"content": "Write Python code to solve the task:\nChef had an array A of length N such that 1 ≤ A_{i} ≤ N for all 1 ≤ i ≤ N. Chef constructed another binary array B of length N in the following manner:\nB_{i} = 1 if the frequency of element i in A is *odd*.\nB_{i} = 0 if the frequency of element i in A is *ev... | false |
Solve the following problem step-by-step:
Given the context and corresponding question, choose the correct answer from the options.
Context:
Medical researcher: As expected, records covering the last four years of ten major hospitals indicate that babies born prematurely were more likely to have low birth weights and to suffer from health problems than were babies not born prematurely. These records also indicate that mothers who had received adequate prenatal care were less likely to have low birth weight babies than were mothers who had received inadequate prenatal care. Adequate prenatal care, ttherefore, significantly decreases the risk of low birth weight babies.
Question:
Which one of the following, if true, most weakens the medical researcher's argument?
Options:
A. The hospital records indicate that low birth weight babies were routinely classified as having been born prematurely.
B. Mothers giving birth prematurely are routinely classified by hospitals as having received inadequate prenatal care when the record of that care is not available.
C. The hospital records indicate that many babies that are born with normal birth weights are born to mothers who had inadequate prenatal care.
D. Women who receive adequate prenatal care, are less likely to give birth prematurely than are women who do not receive adequate prenatal care.
| [
{
"content": "Solve the following problem step-by-step:\nGiven the context and corresponding question, choose the correct answer from the options.\n\nContext: \nMedical researcher: As expected, records covering the last four years of ten major hospitals indicate that babies born prematurely were more likely to ... | [
{
"content": "Solve the following problem step-by-step:\nGiven the context and corresponding question, choose the correct answer from the options.\n\nContext: \nMedical researcher: As expected, records covering the last four years of ten major hospitals indicate that babies born prematurely were more likely to ... | false |
Tool available:
[1] Python interpreter
When you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.
Solve the following math problem step-by-step.
Simplify your answer as much as possible.
Hannah brought $30 to the county fair. She spent half of it on rides and another $x on dessert. How much, in dollars, is left?
If we know the answer to the above question is 10, what is the value of unknown variable x? | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nHannah brought $30 to the county fair. She ... | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nHannah brought $30 to the county fair. She ... | true |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
xy = 1 then what is ( 6 ^ ( x + y ) ^ 2 ) / ( 6 ^ ( x - y ) ^ 2 ) | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nxy = 1 then what is ( 6 ^ ( x + y ) ^ 2 ) / ( 6 ^ ( x - y ) ^ 2 )",
"role": "user"
},
{
"content": "Step 1: Given that xy equals 1, we need to f... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nxy = 1 then what is ( 6 ^ ( x + y ) ^ 2 ) / ( 6 ^ ( x - y ) ^ 2 )",
"role": "user"
},
{
"content": "Step 1: To solve the problem, we first need... | false |
Solve the following problem step-by-step:
Given the context and corresponding question, choose the correct answer from the options.
Context:
Several legislators claim that the public finds many current movies so sexually explicit as to be morally offensive. However, these legislators have misrepresented public opinion. In a survey conducted by a movie industry guild, only 15 percent of respondents think that movies are too sexually explicit, and only 4 percent found any recent movie to be morally offensive. These low percentages are telling because the respondents see far more current movies than does the average moviegoer.
Question:
The reasoning in the argument is flawed in that the argument
Options:
A. fails to consider the possibility that sexually explicit movies increase the prevalence of antisocial behavior
B. attempts to undermine the legislators' credibility instead of addressing their argument
C. generalizes from a sample that is unlikely to be representative of public sentiment
D. bases its conclusion on subjective judgments rather than on an objective criterion of moral offensiveness
| [
{
"content": "Solve the following problem step-by-step:\nGiven the context and corresponding question, choose the correct answer from the options.\n\nContext: \nSeveral legislators claim that the public finds many current movies so sexually explicit as to be morally offensive. However, these legislators have mi... | [
{
"content": "Solve the following problem step-by-step:\nGiven the context and corresponding question, choose the correct answer from the options.\n\nContext: \nSeveral legislators claim that the public finds many current movies so sexually explicit as to be morally offensive. However, these legislators have mi... | true |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
steve traveled the first 2 hours of his journey at 60 mph and the remaining 3 hours of his journey at 80 mph . what is his average speed for the entire journey ? | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nsteve traveled the first 2 hours of his journey at 60 mph and the remaining 3 hours of his journey at 80 mph . what is his average speed for the entire jour... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nsteve traveled the first 2 hours of his journey at 60 mph and the remaining 3 hours of his journey at 80 mph . what is his average speed for the entire jour... | true |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
every letter in the alphabet has a number value that is equal to its place in the alphabet . thus , the letter a has a value of 1 , the letter b has a value of 2 , the letter c has a value of 3 , etc . . . the number value of a word is obtained by adding up the value of the letters in the word and then multiplying that sum by the length of the word . what is the number value of the word ` ` cow ' ' ? | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nevery letter in the alphabet has a number value that is equal to its place in the alphabet . thus , the letter a has a value of 1 , the letter b has a value... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nevery letter in the alphabet has a number value that is equal to its place in the alphabet . thus , the letter a has a value of 1 , the letter b has a value... | false |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
susan made a block with small cubes of 8 cubic cm volume to make a block , 3 small cubes long , 9 small cubes wide and 5 small cubes deep . she realizes that she has used more small cubes than she really needed . she realized that she could have glued a fewer number of cubes together to lock like a block with same dimensions , if it were made hollow . what is the minimum number of cubes that she needs to make the block ? | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nsusan made a block with small cubes of 8 cubic cm volume to make a block , 3 small cubes long , 9 small cubes wide and 5 small cubes deep . she realizes tha... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nsusan made a block with small cubes of 8 cubic cm volume to make a block , 3 small cubes long , 9 small cubes wide and 5 small cubes deep . she realizes tha... | false |
Tool available:
[1] Python interpreter
When you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.
Solve the following math problem step-by-step.
Simplify your answer as much as possible.
the number of the members of a club is more than 10 and less than 40 . when 3 people sit at a table , other people exactly divided to 6 - people groups ( 6 people sit at a table ) or 5 - people groups ( 5 people sit at a table ) . if the members are divided to 7 - people groups , how many people will be left ? | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nthe number of the members of a club is more... | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nthe number of the members of a club is more... | true |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
Find the smallest positive integer $b$ for which $x^2 + bx + 2008$ factors into a product of two polynomials, each having integer coefficients. | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nFind the smallest positive integer $b$ for which $x^2 + bx + 2008$ factors into a product of two polynomials, each having integer coefficients.",
"role"... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nFind the smallest positive integer $b$ for which $x^2 + bx + 2008$ factors into a product of two polynomials, each having integer coefficients.",
"role"... | true |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
Lizzy's mother gave her 80 cents and her father gave her 40 cents for keeping to her promise. She went to her uncle's and spent 50 cents buying candy for her little cousin. Her uncle gave her another 70 cents. How many cents does she have now? | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nLizzy's mother gave her 80 cents and her father gave her 40 cents for keeping to her promise. She went to her uncle's and spent 50 cents buying candy for he... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nLizzy's mother gave her 80 cents and her father gave her 40 cents for keeping to her promise. She went to her uncle's and spent 50 cents buying candy for he... | true |
Write Python code to solve the task:
Every great chef knows that lucky numbers are positive integers whose decimal representations contain only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
Our chef has recently returned from the Lucky country. He observed that every restaurant in the Lucky country had a lucky number as its name.
He believes that having a lucky number as a restaurant name can indeed turn out to be very lucky.
Our chef believes that it is possible to make a lucky number having N digits even luckier. Any number following the rules below is called Lucky lucky number -
1. The number contains only digits 4 and 7.
2. Count of digit 4 in the number should be divisible by 7.
3. Count of digit 7 in the number should be divisible by 4.
Help our chef to compute the count of digit 4 in the smallest Lucky lucky number having N digits.
Input
First line contains T, number of test cases. Each of the next T lines contains a number N, the number of digits in the Lucky lucky number to be formed.
1<=T<=1000
1<=N<=1000000000 (10^9)
Output
If it is not possible to form a Lucky lucky number having N digits, output -1.
Otherwise, output the count of digit 4 in the smallest Lucky lucky number having N digits.
Example
Input:
5
7
4
11
1
15
Output:
7
0
7
-1
7
Explanation
For the last test case, N = 15, the smallest lucky lucky number is
444444477777777. The count of digit 4 is 7. | [
{
"content": "Write Python code to solve the task:\nEvery great chef knows that lucky numbers are positive integers whose decimal representations contain only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not. \nOur chef has recently returned from the Lucky country. He ... | [
{
"content": "Write Python code to solve the task:\nEvery great chef knows that lucky numbers are positive integers whose decimal representations contain only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not. \nOur chef has recently returned from the Lucky country. He ... | true |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
You start a business selling charm bracelets. You spend $1 on the string for each bracelet and $3 on beads for each bracelet. You sell the bracelets for $6 each. If you sell 25 bracelets, how much profit will you make? | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nYou start a business selling charm bracelets. You spend $1 on the string for each bracelet and $3 on beads for each bracelet. You sell the bracelets for $6 ... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nYou start a business selling charm bracelets. You spend $1 on the string for each bracelet and $3 on beads for each bracelet. You sell the bracelets for $6 ... | true |
Solve the following problem step-by-step:
Given the context and corresponding question, choose the correct answer from the options.
Context:
The mainstream news media emphasize violence occurring in the Middle East at the expense of covering violence occurring in many other areas of the world. Although the media focus is on violence in the Middle East, the problem of violence is much greater in Central Africa. Yet the public tends to interpret the amount of coverage the media give to these occurrences as indicating the degree of the problem.
Question:
If the statements above are true, which one of the following conclusions is most strongly supported by them?
Options:
A. The emphasis given to violence in the Middle East is dictated by the public's interest in that region.
B. The Internet is more influential than print media in most areas of the world.
C. Where news media are the main source of information, public opinion regarding the severity of a problem is swayed by coverage.
D. The problem in the Middle East is a more complicated problem than is the problem in Central Africa.
| [
{
"content": "Solve the following problem step-by-step:\nGiven the context and corresponding question, choose the correct answer from the options.\n\nContext: \nThe mainstream news media emphasize violence occurring in the Middle East at the expense of covering violence occurring in many other areas of the worl... | [
{
"content": "Solve the following problem step-by-step:\nGiven the context and corresponding question, choose the correct answer from the options.\n\nContext: \nThe mainstream news media emphasize violence occurring in the Middle East at the expense of covering violence occurring in many other areas of the worl... | true |
Solve the following problem step-by-step:
Given the context and corresponding question, choose the correct answer from the options.
Context:
Psychologists have found that candidates for top political offices who blink excessively during televised debates are judged by viewers to have done less well than competing candidates who exhibit average blink rates. Any impact this phenomenon has on election results is surely deleterious: Many features -- knowledgeableness, confidence, and so forth -- contribute to a political official' s ability to perform well in office, but having an average blink rate is certainly not such a feature.
Question:
Which one of the following, if true, most weakens the argument?
Options:
A. Excessive blinking has been shown to be a mostly reliable indicator of a lack of confidence.
B. Blinking too infrequently during televised debates has the same effect on viewers' judgments of candidates as blinking excessively.
C. Viewers' judgments about candidates' debate performances are generally not affected by how knowledgeable the candidates appear to be.
D. Voters' judgments about candidates' debate performances rarely affect the results of national elections.
| [
{
"content": "Solve the following problem step-by-step:\nGiven the context and corresponding question, choose the correct answer from the options.\n\nContext: \nPsychologists have found that candidates for top political offices who blink excessively during televised debates are judged by viewers to have done le... | [
{
"content": "Solve the following problem step-by-step:\nGiven the context and corresponding question, choose the correct answer from the options.\n\nContext: \nPsychologists have found that candidates for top political offices who blink excessively during televised debates are judged by viewers to have done le... | false |
Tool available:
[1] Python interpreter
When you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.
Solve the following math problem step-by-step.
Simplify your answer as much as possible.
Kate loves painting. She decided to go to an Art-museum in her city. The entrance fee is $5. Kate loved the visit so much, that she decided to go there once a month. After 1 year, the ticket price increased to $7 and Kate decided she is going to visit the museum only x times a year. Kate paid 116 for all visits to the Art-museum after 3 years of visiting. | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nKate loves painting. She decided to go to a... | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nKate loves painting. She decided to go to a... | false |
Tool available:
[1] Python interpreter
When you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.
Solve the following math problem step-by-step.
Simplify your answer as much as possible.
A point $P$ is chosen in the interior of $\triangle ABC$ such that when lines are drawn through $P$ parallel to the sides of $\triangle ABC$, the resulting smaller triangles $t_{1}$, $t_{2}$, and $t_{3}$ in the figure, have areas $4$, $9$, and $49$, respectively. Find the area of $\triangle ABC$.
[asy] size(200); pathpen=black;pointpen=black; pair A=(0,0),B=(12,0),C=(4,5); D(A--B--C--cycle); D(A+(B-A)*3/4--A+(C-A)*3/4); D(B+(C-B)*5/6--B+(A-B)*5/6);D(C+(B-C)*5/12--C+(A-C)*5/12); MP("A",C,N);MP("B",A,SW);MP("C",B,SE); /* sorry mixed up points according to resources diagram. */ MP("t_3",(A+B+(B-A)*3/4+(A-B)*5/6)/2+(-1,0.8),N); MP("t_2",(B+C+(B-C)*5/12+(C-B)*5/6)/2+(-0.3,0.1),WSW); MP("t_1",(A+C+(C-A)*3/4+(A-C)*5/12)/2+(0,0.15),ESE); [/asy] | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nA point $P$ is chosen in the interior of $\... | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nA point $P$ is chosen in the interior of $\... | true |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
If $A:B:C = 2:1:4$, what is the value of $(3A + 2B) \div (4C - A)$? Express your answer as a common fraction. | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nIf $A:B:C = 2:1:4$, what is the value of $(3A + 2B) \\div (4C - A)$? Express your answer as a common fraction.",
"role": "user"
},
{
"content": ... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nIf $A:B:C = 2:1:4$, what is the value of $(3A + 2B) \\div (4C - A)$? Express your answer as a common fraction.",
"role": "user"
},
{
"content": ... | false |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
$\triangle ABC$ is similar to $\triangle DEF$ . What is the number of centimeters in the length of $\overline{EF}$ ? Express your answer as a decimal to the nearest tenth.
[asy]
draw((0,0)--(8,-2)--(5,4)--cycle);
label("8cm",(2.5,2),NW);
label("5cm",(6.1,1),NE);
draw((12,0)--(18,-1.5)--(15.7,2.5)--cycle);
label("$A$",(8,-2),SE);
label("3cm",(16.9,0.5),NE);
label("$B$",(5,4),N);
label("$C$",(0,0),SW);
label("$D$",(18,-1.5),SE);
label("$E$",(15.7,2.5),N);
label("$F$",(12,0),N);
[/asy] | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\n$\\triangle ABC$ is similar to $\\triangle DEF$ . What is the number of centimeters in the length of $\\overline{EF}$ ? Express your answer as a decimal to ... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\n$\\triangle ABC$ is similar to $\\triangle DEF$ . What is the number of centimeters in the length of $\\overline{EF}$ ? Express your answer as a decimal to ... | true |
Tool available:
[1] Python interpreter
When you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.
Solve the following math problem step-by-step.
Simplify your answer as much as possible.
Gabe has three songs on his playlist. “The Best Day” is 3 minutes, “Raise the Roof” is 2 minutes, and “Rap Battle” is x minutes. Gabe can listen to his entire playlist 5 times on the 40-minute ride to his wrestling match. | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nGabe has three songs on his playlist. “The ... | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nGabe has three songs on his playlist. “The ... | false |
Write Python code to solve the task:
Two words are anagrams of one another if their letters can be rearranged to form the other word.
Given a string, split it into two contiguous substrings of equal length. Determine the minimum number of characters to change to make the two substrings into anagrams of one another.
Example
$s=\textbf{abccde}$
Break $\boldsymbol{\mathrm{~S~}}$ into two parts: 'abc' and 'cde'. Note that all letters have been used, the substrings are contiguous and their lengths are equal. Now you can change 'a' and 'b' in the first substring to 'd' and 'e' to have 'dec' and 'cde' which are anagrams. Two changes were necessary.
Function Description
Complete the anagram function in the editor below.
anagram has the following parameter(s):
string s: a string
Returns
int: the minimum number of characters to change or -1.
Input Format
The first line will contain an integer, $\textit{q}$, the number of test cases.
Each test case will contain a string $\boldsymbol{\mathrm{~S~}}$.
Constraints
$1\leq q\leq100$
$1\leq|s|\leq10^4$
$\boldsymbol{\mathrm{~S~}}$ consists only of characters in the range ascii[a-z].
Sample Input
6
aaabbb
ab
abc
mnop
xyyx
xaxbbbxx
Sample Output
3
1
-1
2
0
1
Explanation
Test Case #01: We split $\boldsymbol{\mathrm{~S~}}$ into two strings $\mbox{S1}$='aaa' and $\mbox{S2}$='bbb'. We have to replace all three characters from the first string with 'b' to make the strings anagrams.
Test Case #02: You have to replace 'a' with 'b', which will generate "bb".
Test Case #03: It is not possible for two strings of unequal length to be anagrams of one another.
Test Case #04: We have to replace both the characters of first string ("mn") to make it an anagram of the other one.
Test Case #05: $\mbox{S1}$ and $\mbox{S2}$ are already anagrams of one another.
Test Case #06: Here S1 = "xaxb" and S2 = "bbxx". You must replace 'a' from S1 with 'b' so that S1 = "xbxb". | [
{
"content": "Write Python code to solve the task:\nTwo words are anagrams of one another if their letters can be rearranged to form the other word. \n\nGiven a string, split it into two contiguous substrings of equal length. Determine the minimum number of characters to change to make the two substrings into... | [
{
"content": "Write Python code to solve the task:\nTwo words are anagrams of one another if their letters can be rearranged to form the other word. \n\nGiven a string, split it into two contiguous substrings of equal length. Determine the minimum number of characters to change to make the two substrings into... | true |
Write Python code to solve the task:
Correct this code so that it takes one argument, `x`, and returns "`x` is more than zero" if `x` is positive (and nonzero), and otherwise, returns "`x` is equal to or less than zero." In both cases, replace `x` with the actual value of `x`. | [
{
"content": "Write Python code to solve the task:\nCorrect this code so that it takes one argument, `x`, and returns \"`x` is more than zero\" if `x` is positive (and nonzero), and otherwise, returns \"`x` is equal to or less than zero.\" In both cases, replace `x` with the actual value of `x`.",
"role": "... | [
{
"content": "Write Python code to solve the task:\nCorrect this code so that it takes one argument, `x`, and returns \"`x` is more than zero\" if `x` is positive (and nonzero), and otherwise, returns \"`x` is equal to or less than zero.\" In both cases, replace `x` with the actual value of `x`.",
"role": "... | false |
Tool available:
[1] Python interpreter
When you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.
Solve the following math problem step-by-step.
Simplify your answer as much as possible.
Wallace runs a beef jerky company. The company dries the jerky low and slow, so one batch of jerky takes all night to make. Each batch can make 10 bags of jerky. Wallace received a customer order for x bags of jerky. If he has 20 bags of jerky already made, how many days will it be before he can fulfill the customer’s order?
If we know the answer to the above question is 4, what is the value of unknown variable x? | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nWallace runs a beef jerky company. The comp... | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nWallace runs a beef jerky company. The comp... | false |
Tool available:
[1] Python interpreter
When you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.
Solve the following math problem step-by-step.
Simplify your answer as much as possible.
there is a square with sides of 13 . what is the area of the biggest circle that can be cut out of this square ? | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nthere is a square with sides of 13 . what i... | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nthere is a square with sides of 13 . what i... | true |
Tool available:
[1] Python interpreter
When you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.
Solve the following math problem step-by-step.
Simplify your answer as much as possible.
The product of 10 and a number is the same as 36 less twice that same number. Find the number. | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nThe product of 10 and a number is the same ... | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nThe product of 10 and a number is the same ... | false |
Write Python code to solve the task:
Given the following table (only the first 5 rows are shown):
Year League Record Finish Manager Playoffs Notes
0 1947 Sunset League 69-69 4th Thomas Lloyd NaN NaN
1 1948 Sunset League 77-63 3rd Thomas Lloyd League Champs NaN
2 1949 Sunset League 49-75 7th Lilio Marcucci none NaN
3 1950 Far West League 75-63 3rd Joe Borich Lost in 1st round NaN
4 1951 Far West League 52-65 3rd Cotton Pippen NaN NaN
Write a Pandas query to find the answer to the question: what is the total number of years the sunset league was managed by thomas lloyd?.
The dataframe is preloaded for you and can be accessed within <execute> block via the variable `df`. | [
{
"content": "Write Python code to solve the task:\nGiven the following table (only the first 5 rows are shown):\n Year League Record Finish Manager Playoffs Notes\n0 1947 Sunset League 69-69 4th Thomas Lloyd NaN NaN\n1 1948 Sunset League 77-63 3... | [
{
"content": "Write Python code to solve the task:\nGiven the following table (only the first 5 rows are shown):\n Year League Record Finish Manager Playoffs Notes\n0 1947 Sunset League 69-69 4th Thomas Lloyd NaN NaN\n1 1948 Sunset League 77-63 3... | false |
Write Python code to solve the task:
Nobody knows, but N frogs live in Chef's garden.
Now they are siting on the X-axis and want to speak to each other. One frog can send a message to another one if the distance between them is less or equal to K.
Chef knows all P pairs of frogs, which want to send messages. Help him to define can they or not!
Note : More than 1 frog can be on the same point on the X-axis.
Input
The first line contains three integers N, K and P.
The second line contains N space-separated integers A1, A2, ..., AN denoting the x-coordinates of frogs".
Each of the next P lines contains two integers A and B denoting the numbers of frogs according to the input.
Output
For each pair print "Yes" without a brackets if frogs can speak and "No" if they cannot.
Constraints
1 ≤ N, P ≤ 10^5
0 ≤ Ai, K ≤ 10^9
1 ≤ A, B ≤ N
Example
Input:
5 3 3
0 3 8 5 12
1 2
1 3
2 5
Output:
Yes
Yes
No
Explanation
For pair (1, 2) frog 1 can directly speak to the frog 2 as the distance between them is 3 - 0 = 3 <= K .
For pair (1, 3) frog 1 can send a message to frog 2, frog 2 can send it to frog 4 and it can send it to frog 3.
For pair (2, 5) frogs can't send a message under current constraints. | [
{
"content": "Write Python code to solve the task:\nNobody knows, but N frogs live in Chef's garden.\nNow they are siting on the X-axis and want to speak to each other. One frog can send a message to another one if the distance between them is less or equal to K. \nChef knows all P pairs of frogs, which want to... | [
{
"content": "Write Python code to solve the task:\nNobody knows, but N frogs live in Chef's garden.\nNow they are siting on the X-axis and want to speak to each other. One frog can send a message to another one if the distance between them is less or equal to K. \nChef knows all P pairs of frogs, which want to... | true |
Write Python code to solve the task:
Jenny has written a function that returns a greeting for a user. However, she's in love with Johnny, and would like to greet him slightly different. She added a special case to her function, but she made a mistake.
Can you help her? | [
{
"content": "Write Python code to solve the task:\nJenny has written a function that returns a greeting for a user. However, she's in love with Johnny, and would like to greet him slightly different. She added a special case to her function, but she made a mistake.\n\nCan you help her?",
"role": "user"
}... | [
{
"content": "Write Python code to solve the task:\nJenny has written a function that returns a greeting for a user. However, she's in love with Johnny, and would like to greet him slightly different. She added a special case to her function, but she made a mistake.\n\nCan you help her?",
"role": "user"
}... | true |
Tool available:
[1] Python interpreter
When you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.
Solve the following math problem step-by-step.
Simplify your answer as much as possible.
can you find a 7 digit number which describes itself . the first digit is the number of zeros in the number . the second digit is the number of ones in the number , etc . for example , in the number 21200 , there are 2 zeros , 1 one , 2 twos , 0 threes and 0 fours . | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\ncan you find a 7 digit number which describ... | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\ncan you find a 7 digit number which describ... | false |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
The pattern of Pascal's triangle is illustrated in the diagram shown. What is the fourth element in Row 15 of Pascal's triangle? $$
\begin{array}{ccccccccccccc}\vspace{0.1in}
\textrm{Row 0}: & \qquad & & & & & 1 & & & & & & \\ \vspace{0.1in}
\textrm{Row 1}: & \qquad & & & & 1 & & 1 & & & & &\\ \vspace{0.1in}
\textrm{Row 2}: & \qquad & & & 1 & & 2 & & 1 & & & &\\ \vspace{0.1in}
\textrm{Row 3}: & \qquad & & 1 && 3 && 3 && 1&& \\ \vspace{0.1in}
\textrm{Row 4}: & \qquad & 1&& 4 && 6 && 4 && 1
\end{array}
$$ | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nThe pattern of Pascal's triangle is illustrated in the diagram shown. What is the fourth element in Row 15 of Pascal's triangle? $$\n\\begin{array}{ccccccc... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nThe pattern of Pascal's triangle is illustrated in the diagram shown. What is the fourth element in Row 15 of Pascal's triangle? $$\n\\begin{array}{ccccccc... | false |
Tool available:
[1] Python interpreter
When you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.
Solve the following math problem step-by-step.
Simplify your answer as much as possible.
Thomas and Penelope are standing 220 meters apart. Thomas started running towards Penelope at a constant speed of 11 meters per sec. Find the distance between them after 18 seconds. | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nThomas and Penelope are standing 220 meters... | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nThomas and Penelope are standing 220 meters... | false |
Tool available:
[1] Python interpreter
When you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.
Solve the following math problem step-by-step.
Simplify your answer as much as possible.
there are 9 executives , including the ceo and cfo , that are asked to form a small team of 4 members . however , the ceo and cfo may not both be assigned to the team . given this constraint , how many ways are there to form the team ? | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nthere are 9 executives , including the ceo ... | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nthere are 9 executives , including the ceo ... | true |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
a vessel of capacity 90 litres is fully filled with pure milk . nine litres of milk is removed from the vessel and replaced with water . nine litres of the solution thus formed is removed and replaced with water . find the quantity of pure milk in the final milk solution ? | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\na vessel of capacity 90 litres is fully filled with pure milk . nine litres of milk is removed from the vessel and replaced with water . nine litres of the ... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\na vessel of capacity 90 litres is fully filled with pure milk . nine litres of milk is removed from the vessel and replaced with water . nine litres of the ... | false |
Write Python code to solve the task:
Your task is very simple. Just write a function `isAlphabetic(s)`, which takes an input string `s` in lowercase and returns `true`/`false` depending on whether the string is in alphabetical order or not.
For example, `isAlphabetic('kata')` is False as 'a' comes after 'k', but `isAlphabetic('ant')` is True.
Good luck :) | [
{
"content": "Write Python code to solve the task:\nYour task is very simple. Just write a function `isAlphabetic(s)`, which takes an input string `s` in lowercase and returns `true`/`false` depending on whether the string is in alphabetical order or not.\n\nFor example, `isAlphabetic('kata')` is False as 'a' c... | [
{
"content": "Write Python code to solve the task:\nYour task is very simple. Just write a function `isAlphabetic(s)`, which takes an input string `s` in lowercase and returns `true`/`false` depending on whether the string is in alphabetical order or not.\n\nFor example, `isAlphabetic('kata')` is False as 'a' c... | true |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
A parabola has vertex $V = (0,0)$ and focus $F = (0,1).$ Let $P$ be a point in the first quadrant, lying on the parabola, so that $PF = 101.$ Find $P.$ | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nA parabola has vertex $V = (0,0)$ and focus $F = (0,1).$ Let $P$ be a point in the first quadrant, lying on the parabola, so that $PF = 101.$ Find $P.$",
... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nA parabola has vertex $V = (0,0)$ and focus $F = (0,1).$ Let $P$ be a point in the first quadrant, lying on the parabola, so that $PF = 101.$ Find $P.$",
... | true |
Write Python code to solve the task:
Create a function that returns an array containing the first `l` digits from the `n`th diagonal of [Pascal's triangle](https://en.wikipedia.org/wiki/Pascal's_triangle).
`n = 0` should generate the first diagonal of the triangle (the 'ones'). The first number in each diagonal should be 1.
If `l = 0`, return an empty array. Assume that both `n` and `l` will be non-negative integers in all test cases. | [
{
"content": "Write Python code to solve the task:\nCreate a function that returns an array containing the first `l` digits from the `n`th diagonal of [Pascal's triangle](https://en.wikipedia.org/wiki/Pascal's_triangle).\n\n`n = 0` should generate the first diagonal of the triangle (the 'ones'). The first numbe... | [
{
"content": "Write Python code to solve the task:\nCreate a function that returns an array containing the first `l` digits from the `n`th diagonal of [Pascal's triangle](https://en.wikipedia.org/wiki/Pascal's_triangle).\n\n`n = 0` should generate the first diagonal of the triangle (the 'ones'). The first numbe... | false |
Write Python code to solve the task:
Depth-first search (DFS) follows the strategy to search ”deeper” in the graph whenever possible. In DFS, edges are recursively explored out of the most recently discovered vertex $v$ that still has unexplored edges leaving it. When all of $v$'s edges have been explored, the search ”backtracks” to explore edges leaving the vertex from which $v$ was discovered.
This process continues until all the vertices that are reachable from the original source vertex have been discovered. If any undiscovered vertices remain, then one of them is selected as a new source and the search is repeated from that source.
DFS timestamps each vertex as follows:
* $d[v]$ records when $v$ is first discovered.
* $f[v]$ records when the search finishes examining $v$’s adjacency list.
Write a program which reads a directed graph $G = (V, E)$ and demonstrates DFS on the graph based on the following rules:
* $G$ is given in an adjacency-list. Vertices are identified by IDs $1, 2,... n$ respectively.
* IDs in the adjacency list are arranged in ascending order.
* The program should report the discover time and the finish time for each vertex.
* When there are several candidates to visit during DFS, the algorithm should select the vertex with the smallest ID.
* The timestamp starts with 1.
Constraints
* $1 \leq n \leq 100$
Input
In the first line, an integer $n$ denoting the number of vertices of $G$ is given. In the next $n$ lines, adjacency lists of $u$ are given in the following format:
$u$ $k$ $v_1$ $v_2$ ... $v_k$
$u$ is ID of the vertex and $k$ denotes its degree. $v_i$ are IDs of vertices adjacent to $u$.
Output
For each vertex, print $id$, $d$ and $f$ separated by a space character in a line. $id$ is ID of the vertex, $d$ and $f$ is the discover time and the finish time respectively. Print in order of vertex IDs.
Examples
Input
4
1 1 2
2 1 4
3 0
4 1 3
Output
1 1 8
2 2 7
3 4 5
4 3 6
Input
6
1 2 2 3
2 2 3 4
3 1 5
4 1 6
5 1 6
6 0
Output
1 1 12
2 2 11
3 3 8
4 9 10
5 4 7
6 5 6 | [
{
"content": "Write Python code to solve the task:\nDepth-first search (DFS) follows the strategy to search ”deeper” in the graph whenever possible. In DFS, edges are recursively explored out of the most recently discovered vertex $v$ that still has unexplored edges leaving it. When all of $v$'s edges have been... | [
{
"content": "Write Python code to solve the task:\nDepth-first search (DFS) follows the strategy to search ”deeper” in the graph whenever possible. In DFS, edges are recursively explored out of the most recently discovered vertex $v$ that still has unexplored edges leaving it. When all of $v$'s edges have been... | true |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
if ( 1 – 1.5 ) n = 1 , then n = | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nif ( 1 – 1.5 ) n = 1 , then n =",
"role": "user"
},
{
"content": "Step 1: Let's first solve the expression inside the parentheses, 1-1.5.\nStep ... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nif ( 1 – 1.5 ) n = 1 , then n =",
"role": "user"
},
{
"content": "Step 1: Let's break down the problem into smaller parts. We need to calculate ... | false |
Tool available:
[1] Python interpreter
When you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.
Solve the following math problem step-by-step.
Simplify your answer as much as possible.
Mark got a x% raise at his job. Before the raise, he earned 40 dollars per hour. He works 8 hours per day for 5 days per week. His old bills used to be 600 dollars a week but he decided to add a hundred dollar a week personal trainer. He has 980 leftover a week. | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nMark got a x% raise at his job. Before the... | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nMark got a x% raise at his job. Before the... | false |
Tool available:
[1] Python interpreter
When you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.
Solve the following math problem step-by-step.
Simplify your answer as much as possible.
Find the dot product of $\begin{pmatrix} 3 \\ -4 \\ -3 \end{pmatrix}$ and $\begin{pmatrix} -5 \\ 2 \\ 1 \end{pmatrix}.$ | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nFind the dot product of $\\begin{pmatrix} 3... | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nFind the dot product of $\\begin{pmatrix} 3... | false |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
If there are 7 bottle caps in a box and Linda puts 7 more bottle caps inside, there are _____ bottle caps in the box. | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nIf there are 7 bottle caps in a box and Linda puts 7 more bottle caps inside, there are _____ bottle caps in the box.",
"role": "user"
},
{
"con... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nIf there are 7 bottle caps in a box and Linda puts 7 more bottle caps inside, there are _____ bottle caps in the box.",
"role": "user"
},
{
"con... | true |
Tool available:
[1] Python interpreter
When you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.
Solve the following math problem step-by-step.
Simplify your answer as much as possible.
Juan, Carlos and Manu take turns flipping a coin in their respective order. The first one to flip heads wins. What is the probability that Manu will win? Express your answer as a common fraction. | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nJuan, Carlos and Manu take turns flipping a... | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nJuan, Carlos and Manu take turns flipping a... | true |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
In a certain forest, there are 4 species of trees: oak, pine, spruce, and birch. There is a total of 4000 trees in the forest. Spruces make up 10% of all the trees, and pines 13%. There are as many oaks as spruces and pines put together. How many birches are there in the forest? | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nIn a certain forest, there are 4 species of trees: oak, pine, spruce, and birch. There is a total of 4000 trees in the forest. Spruces make up 10% of all th... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nIn a certain forest, there are 4 species of trees: oak, pine, spruce, and birch. There is a total of 4000 trees in the forest. Spruces make up 10% of all th... | false |
Tool available:
[1] Python interpreter
When you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.
Solve the following math problem step-by-step.
Simplify your answer as much as possible.
Nina did a running drill to get in shape for soccer season. First, Nina ran 0.08333333333333333 of a mile. Then she ran 0.08333333333333333 of a mile and 0.6666666666666666 of a mile more. How many miles did Nina run in total? | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nNina did a running drill to get in shape fo... | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nNina did a running drill to get in shape fo... | false |
Tool available:
[1] Python interpreter
When you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.
Solve the following math problem step-by-step.
Simplify your answer as much as possible.
Given the following table:
Table: Employee | Pay period |
Tim Medina | November |
Total earnings | | $1,754.00
Federal income tax | $194.37 |
State income tax | $89.28 |
Other taxes | $134.10 |
Total taxes | | ?
Pay after taxes | | ?
Find the answer to the question: Look at Tim's pay stub. Tim lives in a state that has state income tax. How much payroll tax did Tim pay in total?
| [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nGiven the following table:\nTable: Employee... | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nGiven the following table:\nTable: Employee... | false |
Write Python code to solve the task:
You are given a string t and n strings s_1, s_2, ..., s_n. All strings consist of lowercase Latin letters.
Let f(t, s) be the number of occurences of string s in string t. For example, f('aaabacaa', 'aa') = 3, and f('ababa', 'aba') = 2.
Calculate the value of ∑_{i=1}^{n} ∑_{j=1}^{n} f(t, s_i + s_j), where s + t is the concatenation of strings s and t. Note that if there are two pairs i_1, j_1 and i_2, j_2 such that s_{i_1} + s_{j_1} = s_{i_2} + s_{j_2}, you should include both f(t, s_{i_1} + s_{j_1}) and f(t, s_{i_2} + s_{j_2}) in answer.
Input
The first line contains string t (1 ≤ |t| ≤ 2 ⋅ 10^5).
The second line contains integer n (1 ≤ n ≤ 2 ⋅ 10^5).
Each of next n lines contains string s_i (1 ≤ |s_i| ≤ 2 ⋅ 10^5).
It is guaranteed that ∑_{i=1}^{n} |s_i| ≤ 2 ⋅ 10^5. All strings consist of lowercase English letters.
Output
Print one integer — the value of ∑_{i=1}^{n} ∑_{j=1}^{n} f(t, s_i + s_j).
Examples
Input
aaabacaa
2
a
aa
Output
5
Input
aaabacaa
4
a
a
a
b
Output
33 | [
{
"content": "Write Python code to solve the task:\nYou are given a string t and n strings s_1, s_2, ..., s_n. All strings consist of lowercase Latin letters.\n\nLet f(t, s) be the number of occurences of string s in string t. For example, f('aaabacaa', 'aa') = 3, and f('ababa', 'aba') = 2.\n\nCalculate the val... | [
{
"content": "Write Python code to solve the task:\nYou are given a string t and n strings s_1, s_2, ..., s_n. All strings consist of lowercase Latin letters.\n\nLet f(t, s) be the number of occurences of string s in string t. For example, f('aaabacaa', 'aa') = 3, and f('ababa', 'aba') = 2.\n\nCalculate the val... | true |
Write Python code to solve the task:
# Is the string uppercase?
## Task
```if-not:haskell,csharp,javascript,coffeescript,elixir,forth,go,dart,julia,cpp,reason,typescript,racket,ruby
Create a method `is_uppercase()` to see whether the string is ALL CAPS. For example:
```
```if:haskell,reason,typescript
Create a method `isUpperCase` to see whether the string is ALL CAPS. For example:
```
```if:csharp
Create an extension method `IsUpperCase` to see whether the string is ALL CAPS. For example:
```
```if:julia
Create a function `isupper` to see whether the string is ALL CAPS. For example:
```
```if:cpp
Create a function `is_uppercase()` to see whether the string is ALL CAPS. For example:
```
```if:javascript,coffeescript
Add the `isUpperCase` method to `String` to see whether the string is ALL CAPS. For example:
```
```if:elixir
Create a method `upper_case?` to see whether the string is ALL CAPS. For example:
```
```if:forth,factor
Create a word `uppercase?` to check whether a string is ALL CAPS. For example:
```
```if:go
Create a method `IsUpperCase` to see whether the string is ALL CAPS. For example:
```
```if:racket
Create a method `upcase?` to see whether the string is ALL CAPS. For example:
```
```if:ruby
Create a method `is_upcase?` to see whether the string is ALL CAPS. For example:
```
```python
is_uppercase("c") == False
is_uppercase("C") == True
is_uppercase("hello I AM DONALD") == False
is_uppercase("HELLO I AM DONALD") == True
is_uppercase("ACSKLDFJSgSKLDFJSKLDFJ") == False
is_uppercase("ACSKLDFJSGSKLDFJSKLDFJ") == True
```
In this Kata, a string is said to be in ALL CAPS whenever it does not contain any lowercase letter so any string containing no letters at all is trivially considered to be in ALL CAPS. | [
{
"content": "Write Python code to solve the task:\n# Is the string uppercase?\n\n## Task\n\n```if-not:haskell,csharp,javascript,coffeescript,elixir,forth,go,dart,julia,cpp,reason,typescript,racket,ruby\nCreate a method `is_uppercase()` to see whether the string is ALL CAPS. For example:\n```\n```if:haskell,rea... | [
{
"content": "Write Python code to solve the task:\n# Is the string uppercase?\n\n## Task\n\n```if-not:haskell,csharp,javascript,coffeescript,elixir,forth,go,dart,julia,cpp,reason,typescript,racket,ruby\nCreate a method `is_uppercase()` to see whether the string is ALL CAPS. For example:\n```\n```if:haskell,rea... | true |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
in a certain school , the ratio of boys to girls is 5 to 17 . if there are 72 more girls than boys , how many boys are there ? | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nin a certain school , the ratio of boys to girls is 5 to 17 . if there are 72 more girls than boys , how many boys are there ?",
"role": "user"
},
{... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nin a certain school , the ratio of boys to girls is 5 to 17 . if there are 72 more girls than boys , how many boys are there ?",
"role": "user"
},
{... | true |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
In the post-apocalyptic wasteland, 1 lizard is worth 8 bottle caps, 3 lizards are worth 5 gallons of water, and 1 horse is worth 80 gallons of water. Marla can scavenge for 20 bottle caps each day, but needs to pay 4 bottle caps per night for food and shelter. How many days does it take Marla to collect all the bottlecaps she needs to buy a horse? | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nIn the post-apocalyptic wasteland, 1 lizard is worth 8 bottle caps, 3 lizards are worth 5 gallons of water, and 1 horse is worth 80 gallons of water. Marla ... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nIn the post-apocalyptic wasteland, 1 lizard is worth 8 bottle caps, 3 lizards are worth 5 gallons of water, and 1 horse is worth 80 gallons of water. Marla ... | false |
Tool available:
[1] Python interpreter
When you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.
Solve the following math problem step-by-step.
Simplify your answer as much as possible.
if a car had traveled 25 kmh faster than it actually did , the trip would have lasted 30 minutes less . if the car went exactly 75 km , at what speed did it travel ? | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nif a car had traveled 25 kmh faster than it... | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nif a car had traveled 25 kmh faster than it... | false |
Tool available:
[1] Python interpreter
When you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.
Solve the following math problem step-by-step.
Simplify your answer as much as possible.
How many prime numbers between 30 and 65 have a prime remainder when divided by 10? | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nHow many prime numbers between 30 and 65 ha... | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nHow many prime numbers between 30 and 65 ha... | false |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
If $x^{2y}= 4$ and $x = 4$, what is the value of $y$? Express your answer as a common fraction. | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nIf $x^{2y}= 4$ and $x = 4$, what is the value of $y$? Express your answer as a common fraction.",
"role": "user"
},
{
"content": "Step 1: Melchi... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nIf $x^{2y}= 4$ and $x = 4$, what is the value of $y$? Express your answer as a common fraction.",
"role": "user"
},
{
"content": "Step 1: To fin... | true |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
Sarah's bowling score was 40 points more than Greg's, and the average of their two scores was 102. What was Sarah's score? (Recall that the average of two numbers is their sum divided by 2.) | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nSarah's bowling score was 40 points more than Greg's, and the average of their two scores was 102. What was Sarah's score? (Recall that the average of two n... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nSarah's bowling score was 40 points more than Greg's, and the average of their two scores was 102. What was Sarah's score? (Recall that the average of two n... | false |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
What is the degree measure of the supplement of the complement of a 42-degree angle? | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nWhat is the degree measure of the supplement of the complement of a 42-degree angle?",
"role": "user"
},
{
"content": "Step 1: The complement of... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nWhat is the degree measure of the supplement of the complement of a 42-degree angle?",
"role": "user"
},
{
"content": "Step 1: We need to simul... | false |
Write Python code to solve the task:
Dreamoon loves summing up something for no reason. One day he obtains two integers a and b occasionally. He wants to calculate the sum of all nice integers. Positive integer x is called nice if <image> and <image>, where k is some integer number in range [1, a].
By <image> we denote the quotient of integer division of x and y. By <image> we denote the remainder of integer division of x and y. You can read more about these operations here: http://goo.gl/AcsXhT.
The answer may be large, so please print its remainder modulo 1 000 000 007 (109 + 7). Can you compute it faster than Dreamoon?
Input
The single line of the input contains two integers a, b (1 ≤ a, b ≤ 107).
Output
Print a single integer representing the answer modulo 1 000 000 007 (109 + 7).
Examples
Input
1 1
Output
0
Input
2 2
Output
8
Note
For the first sample, there are no nice integers because <image> is always zero.
For the second sample, the set of nice integers is {3, 5}. | [
{
"content": "Write Python code to solve the task:\nDreamoon loves summing up something for no reason. One day he obtains two integers a and b occasionally. He wants to calculate the sum of all nice integers. Positive integer x is called nice if <image> and <image>, where k is some integer number in range [1, a... | [
{
"content": "Write Python code to solve the task:\nDreamoon loves summing up something for no reason. One day he obtains two integers a and b occasionally. He wants to calculate the sum of all nice integers. Positive integer x is called nice if <image> and <image>, where k is some integer number in range [1, a... | false |
Tool available:
[1] Python interpreter
When you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.
Solve the following math problem step-by-step.
Simplify your answer as much as possible.
Last week, Tony went to a toy store and bought $250 a set of Lego blocks, a $120 worth toy sword, and a $x play dough. He bought 3 sets of lego, 7 toy swords, and 10 play doughs. How much did Tony pay in total?
If we know the answer to the above question is 1940, what is the value of unknown variable x? | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nLast week, Tony went to a toy store and bou... | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nLast week, Tony went to a toy store and bou... | false |
Tool available:
[1] Python interpreter
When you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.
Solve the following math problem step-by-step.
Simplify your answer as much as possible.
a vendor sells 30 percent of the apples he had and throws away 20 percent of the remainder . the next day , the vendor sells 50 percent of the remaining apples and throws away the rest . in total , what percent of his apples does the vendor throw away ? | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\na vendor sells 30 percent of the apples he ... | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\na vendor sells 30 percent of the apples he ... | false |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
a marketing firm determined that , of 200 households surveyed , 80 used neither brand r nor brand b soap , 60 used only brand r soap , and for every household that used both brands of soap , 3 used only brand b soap . how many of the 200 households surveyed used both brands of soap ? | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\na marketing firm determined that , of 200 households surveyed , 80 used neither brand r nor brand b soap , 60 used only brand r soap , and for every househo... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\na marketing firm determined that , of 200 households surveyed , 80 used neither brand r nor brand b soap , 60 used only brand r soap , and for every househo... | false |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
135 kg of an alloy a is mixed with 145 kg of alloy b . if alloy a has lead and tin in the ratio 3 : 5 and alloy b has tin and copper in the ratio 2 : 3 , then the amount of tin in the new alloy is ? | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\n135 kg of an alloy a is mixed with 145 kg of alloy b . if alloy a has lead and tin in the ratio 3 : 5 and alloy b has tin and copper in the ratio 2 : 3 , th... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\n135 kg of an alloy a is mixed with 145 kg of alloy b . if alloy a has lead and tin in the ratio 3 : 5 and alloy b has tin and copper in the ratio 2 : 3 , th... | false |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
An infinite geometric series has common ratio $-1/5$ and sum $16.$ What is the first term of the series? | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nAn infinite geometric series has common ratio $-1/5$ and sum $16.$ What is the first term of the series?",
"role": "user"
},
{
"content": "Step... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nAn infinite geometric series has common ratio $-1/5$ and sum $16.$ What is the first term of the series?",
"role": "user"
},
{
"content": "Step... | true |
Tool available:
[1] Python interpreter
When you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.
Solve the following math problem step-by-step.
Simplify your answer as much as possible.
When $n$ is divided by 6, a remainder of 1 is given. What is the remainder when $n+2010$ is divided by 6? | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nWhen $n$ is divided by 6, a remainder of 1 ... | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nWhen $n$ is divided by 6, a remainder of 1 ... | false |
Tool available:
[1] Python interpreter
When you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.
Solve the following math problem step-by-step.
Simplify your answer as much as possible.
If $a$ and $b$ are integers with $a > b$, what is the smallest possible positive value of $\frac{a+b}{a-b} + \frac{a-b}{a+b}$? | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nIf $a$ and $b$ are integers with $a > b$, w... | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nIf $a$ and $b$ are integers with $a > b$, w... | true |
Write Python code to solve the task:
You are given a grid of size N x M consisting of '.' (empty), 'W' (white) or 'B' (black) cells. We follow the convention that the top left corner is the position (1,1) and bottom right corner is (N,M).
From every '.' cell (i, j), a ray is shot towards the right. If the ray reaches a 'B' cell, it loses it's strength fully and stops there. When a ray
reaches a 'W' cell, it's strength drops drastically so that the ray stops when it reaches a second 'W' cell. That is, if there is no 'B'
cell in between, a ray can cross at most one 'W' cell, and it will stop when it reaches the second 'W' cell. It passes unchanged through any '.' cell. If it reaches a boundary cell (ie. (i,M), for some i), it stops there.
Let L(i, j) be length travelled by the ray starting from the cell (i, j). If (i,j) is 'W' or 'B', no ray starts from here, and hence L(i,j) is defined to be 0. If a ray starts from (i,j) and stops at (i,k), then the distance travelled by this ray is k-j+1. i.e, inclusive of both starting and ending cells.
For the given grid your task is to find the sum of L(i, j) over all 1 <= i <= N and 1 <= j <= M.
The description of the grid is given as follows: In addition to N and M, you are given the number of 'W' cells (w) and the number of 'B' cells (b)
and you are given the locations of these w + b cells. (The other cells contain '.')
-----Constraints:-----
For all testcases,
- 1 <= N, M <= 10^6.
- 0 <= w,b <= 10^5
Subtask 1: 15%
It is guaranteed that 1 <= N,M <= 500
Subtask 2: 25%
It is guaranteed that 1 <= N,M <= 2000
Subtask 3: 60%
No additional guarantees.
-----Input format:-----
- There is only one line of input which contains 4 + 2w + 2b space separated integers. The first four integers are N, M, w and b.
- The next 2*w integers denote the cells which contains a 'W': x1 y1 x2 y2 .. xw yw. These denote that (xi,yi) contains 'W'.
- The next 2*b integers denote the cells which contains a 'B': x1 y1 x2 y2 .. xb yb. These denote that (xi,yi) contains 'B'.
- The cells which are not in the input have to be assumed to be '.'
-----Output format:-----
Output a single integer which is the sum of L(i,j) over all 1 <= i <= N and 1 <= j <= M.
-----Sample Input 1:-----
4 4 5 2 1 3 2 1 3 2 3 3 4 3 1 4 2 3
-----Sample Output 1:-----
22
-----Explanation:-----
The grid is:
. . W B
W . B .
. W W .
. . W .
L(i,j) for each cell is:
4 3 0 0
0 2 0 1
3 0 0 1
4 3 0 1
Therefore, the total is 22.
-----Note:-----
As the answer might be large, please use 64 bit integers (long long int in C/C++ and long in Java) instead of 32 bit int. | [
{
"content": "Write Python code to solve the task:\nYou are given a grid of size N x M consisting of '.' (empty), 'W' (white) or 'B' (black) cells. We follow the convention that the top left corner is the position (1,1) and bottom right corner is (N,M). \nFrom every '.' cell (i, j), a ray is shot towards the ri... | [
{
"content": "Write Python code to solve the task:\nYou are given a grid of size N x M consisting of '.' (empty), 'W' (white) or 'B' (black) cells. We follow the convention that the top left corner is the position (1,1) and bottom right corner is (N,M). \nFrom every '.' cell (i, j), a ray is shot towards the ri... | false |
Solve the following problem step-by-step:
Given the context and corresponding question, choose the correct answer from the options.
Context:
For years, university administrators, corporations, and government agencies have been predicting an imminent and catastrophic shortage of scientists and engineers. But since there is little noticeable upward pressure on the salaries of scientists and engineers, and unemployment is as high in these fields as any other, these doomsayers are turning out to be wrong.
Question:
Which one of the following would, if true, most strengthen the argument above?
Options:
A. The proportion of all research in science and engineering being carried out by corporations is larger than it was five years ago.
B. The knowledge and skills acquired during university programs in science and engineering need to be kept current through periodic retraining and professional experience.
C. Most students choose fields of study that offer some prospect of financial success.
D. The number of students in university programs in science and engineering has increased significantly in the last five years.
| [
{
"content": "Solve the following problem step-by-step:\nGiven the context and corresponding question, choose the correct answer from the options.\n\nContext: \nFor years, university administrators, corporations, and government agencies have been predicting an imminent and catastrophic shortage of scientists an... | [
{
"content": "Solve the following problem step-by-step:\nGiven the context and corresponding question, choose the correct answer from the options.\n\nContext: \nFor years, university administrators, corporations, and government agencies have been predicting an imminent and catastrophic shortage of scientists an... | false |
Write Python code to solve the task:
In the capital city of Berland, Bertown, demonstrations are against the recent election of the King of Berland. Berland opposition, led by Mr. Ovalny, believes that the elections were not fair enough and wants to organize a demonstration at one of the squares.
Bertown has n squares, numbered from 1 to n, they are numbered in the order of increasing distance between them and the city center. That is, square number 1 is central, and square number n is the farthest from the center. Naturally, the opposition wants to hold a meeting as close to the city center as possible (that is, they want an square with the minimum number).
There are exactly k (k < n) days left before the demonstration. Now all squares are free. But the Bertown city administration never sleeps, and the approval of an application for the demonstration threatens to become a very complex process. The process of approval lasts several days, but every day the following procedure takes place:
* The opposition shall apply to hold a demonstration at a free square (the one which isn't used by the administration).
* The administration tries to move the demonstration to the worst free square left. To do this, the administration organizes some long-term activities on the square, which is specified in the application of opposition. In other words, the administration starts using the square and it is no longer free. Then the administration proposes to move the opposition demonstration to the worst free square. If the opposition has applied for the worst free square then request is accepted and administration doesn't spend money. If the administration does not have enough money to organize an event on the square in question, the opposition's application is accepted. If administration doesn't have enough money to organize activity, then rest of administration's money spends and application is accepted
* If the application is not accepted, then the opposition can agree to the administration's proposal (that is, take the worst free square), or withdraw the current application and submit another one the next day. If there are no more days left before the meeting, the opposition has no choice but to agree to the proposal of City Hall. If application is accepted opposition can reject it. It means than opposition still can submit more applications later, but square remains free.
In order to organize an event on the square i, the administration needs to spend ai bourles. Because of the crisis the administration has only b bourles to confront the opposition. What is the best square that the opposition can take, if the administration will keep trying to occupy the square in question each time? Note that the administration's actions always depend only on the actions of the opposition.
Input
The first line contains two integers n and k — the number of squares and days left before the meeting, correspondingly (1 ≤ k < n ≤ 105).
The second line contains a single integer b — the number of bourles the administration has (1 ≤ b ≤ 1018).
The third line contains n space-separated integers ai — the sum of money, needed to organise an event on square i (1 ≤ ai ≤ 109).
Please, do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specifier.
Output
Print a single number — the minimum number of the square where the opposition can organize the demonstration.
Examples
Input
5 2
8
2 4 5 3 1
Output
2
Input
5 2
8
3 2 4 1 5
Output
5
Input
5 4
1000000000000000
5 4 3 2 1
Output
5
Note
In the first sample the opposition can act like this. On day one it applies for square 3. The administration has to organize an event there and end up with 3 bourles. If on the second day the opposition applies for square 2, the administration won't have the money to intervene.
In the second sample the opposition has only the chance for the last square. If its first move occupies one of the first four squares, the administration is left with at least 4 bourles, which means that next day it can use its next move to move the opposition from any square to the last one.
In the third sample administration has a lot of money, so opposition can occupy only last square. | [
{
"content": "Write Python code to solve the task:\nIn the capital city of Berland, Bertown, demonstrations are against the recent election of the King of Berland. Berland opposition, led by Mr. Ovalny, believes that the elections were not fair enough and wants to organize a demonstration at one of the squares.... | [
{
"content": "Write Python code to solve the task:\nIn the capital city of Berland, Bertown, demonstrations are against the recent election of the King of Berland. Berland opposition, led by Mr. Ovalny, believes that the elections were not fair enough and wants to organize a demonstration at one of the squares.... | false |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
There are 20 stickers on a page. If you have 12 pages of stickers but lose one of the pages, then how many stickers would you have? | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nThere are 20 stickers on a page. If you have 12 pages of stickers but lose one of the pages, then how many stickers would you have?",
"role": "user"
}... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nThere are 20 stickers on a page. If you have 12 pages of stickers but lose one of the pages, then how many stickers would you have?",
"role": "user"
}... | false |
Write Python code to solve the task:
Vasya has found a strange device. On the front panel of a device there are: a red button, a blue button and a display showing some positive integer. After clicking the red button, device multiplies the displayed number by two. After clicking the blue button, device subtracts one from the number on the display. If at some point the number stops being positive, the device breaks down. The display can show arbitrarily large numbers. Initially, the display shows number n.
Bob wants to get number m on the display. What minimum number of clicks he has to make in order to achieve this result?
Input
The first and the only line of the input contains two distinct integers n and m (1 ≤ n, m ≤ 104), separated by a space .
Output
Print a single number — the minimum number of times one needs to push the button required to get the number m out of number n.
Examples
Input
4 6
Output
2
Input
10 1
Output
9
Note
In the first example you need to push the blue button once, and then push the red button once.
In the second example, doubling the number is unnecessary, so we need to push the blue button nine times. | [
{
"content": "Write Python code to solve the task:\nVasya has found a strange device. On the front panel of a device there are: a red button, a blue button and a display showing some positive integer. After clicking the red button, device multiplies the displayed number by two. After clicking the blue button, d... | [
{
"content": "Write Python code to solve the task:\nVasya has found a strange device. On the front panel of a device there are: a red button, a blue button and a display showing some positive integer. After clicking the red button, device multiplies the displayed number by two. After clicking the blue button, d... | false |
Write Python code to solve the task:
There are n schoolchildren, boys and girls, lined up in the school canteen in front of the bun stall. The buns aren't ready yet and the line is undergoing some changes.
Each second all boys that stand right in front of girls, simultaneously swap places with the girls (so that the girls could go closer to the beginning of the line). In other words, if at some time the i-th position has a boy and the (i + 1)-th position has a girl, then in a second, the i-th position will have a girl and the (i + 1)-th one will have a boy.
Let's take an example of a line of four people: a boy, a boy, a girl, a girl (from the beginning to the end of the line). Next second the line will look like that: a boy, a girl, a boy, a girl. Next second it will be a girl, a boy, a girl, a boy. Next second it will be a girl, a girl, a boy, a boy. The line won't change any more.
Your task is: given the arrangement of the children in the line to determine the time needed to move all girls in front of boys (in the example above it takes 3 seconds). Baking buns takes a lot of time, so no one leaves the line until the line stops changing.
Input
The first line contains a sequence of letters without spaces s1s2... sn (1 ≤ n ≤ 106), consisting of capital English letters M and F. If letter si equals M, that means that initially, the line had a boy on the i-th position. If letter si equals F, then initially the line had a girl on the i-th position.
Output
Print a single integer — the number of seconds needed to move all the girls in the line in front of the boys. If the line has only boys or only girls, print 0.
Examples
Input
MFM
Output
1
Input
MMFF
Output
3
Input
FFMMM
Output
0
Note
In the first test case the sequence of changes looks as follows: MFM → FMM.
The second test sample corresponds to the sample from the statement. The sequence of changes is: MMFF → MFMF → FMFM → FFMM. | [
{
"content": "Write Python code to solve the task:\nThere are n schoolchildren, boys and girls, lined up in the school canteen in front of the bun stall. The buns aren't ready yet and the line is undergoing some changes.\n\nEach second all boys that stand right in front of girls, simultaneously swap places with... | [
{
"content": "Write Python code to solve the task:\nThere are n schoolchildren, boys and girls, lined up in the school canteen in front of the bun stall. The buns aren't ready yet and the line is undergoing some changes.\n\nEach second all boys that stand right in front of girls, simultaneously swap places with... | false |
Solve the following problem step-by-step:
Given the context and corresponding question, choose the correct answer from the options.
Context:
However, other research consistently shows that, in Naota, the average annual earnings of all employed women is 65 percent of the average annual earnings of all employed men, Which one of the following, if also established by research, most helps explain the apparent discrepancy between the research results described above?
Question:
A study of the difference in earnings between men and women in the country of Naota found that the average annual earnings of women who are employed full time is 80 percent of the average annual earnings of men who are employed full time.
Options:
A. In Naota, a larger proportion of female workers than male workers are part-time workers, and part-time workers typically earn less than full-time workers earn.
B. In Naota, the difference between the average annual earnings of all female workers and the average annual earnings of all male workers has been gradually increasing over the past 30 years.
C. In ten other countries where the proportion of women in the work force is similar to that of Naota, the average annual earnings of women who work full time ranges from a low of 50 percent to a high of 90 percent of the average annual earnings of men who work full time.
D. In Naota, the average annual earnings of women who work full time in exactly the same occupations and under exactly the same conditions as men is almost the same as the men's average annual earnings.
| [
{
"content": "Solve the following problem step-by-step:\nGiven the context and corresponding question, choose the correct answer from the options.\n\nContext: \nHowever, other research consistently shows that, in Naota, the average annual earnings of all employed women is 65 percent of the average annual earnin... | [
{
"content": "Solve the following problem step-by-step:\nGiven the context and corresponding question, choose the correct answer from the options.\n\nContext: \nHowever, other research consistently shows that, in Naota, the average annual earnings of all employed women is 65 percent of the average annual earnin... | true |
Solve the following problem step-by-step:
Given the context and corresponding question, choose the correct answer from the options.
Context:
The proportion of fat calories in the diets of people who read the nutrition labels on food products is significantly lower than it is in the diets of people who do not read nutrition labels. This shows that reading these labels promotes healthful dietary behavior.
Question:
The reasoning in the argument above is flawed in that the argument
Options:
A. illicitly infers a cause from a correlation
B. relies on a sample that is unlikely to be representative of the group as a whole
C. confuses a condition that is necessary for a phenomenon to occur with a condition that is sufficient for that phenomenon to occur
D. draws a conclusion about the intentions of a group of people based solely on data about the consequences of their behavior
| [
{
"content": "Solve the following problem step-by-step:\nGiven the context and corresponding question, choose the correct answer from the options.\n\nContext: \nThe proportion of fat calories in the diets of people who read the nutrition labels on food products is significantly lower than it is in the diets of ... | [
{
"content": "Solve the following problem step-by-step:\nGiven the context and corresponding question, choose the correct answer from the options.\n\nContext: \nThe proportion of fat calories in the diets of people who read the nutrition labels on food products is significantly lower than it is in the diets of ... | false |
Solve the following problem step-by-step:
Given the context and corresponding question, choose the correct answer from the options.
Context:
The symptoms that United States President Zachary Taylor began showing five days before his death are consistent with arsenic poisoning. Recent examination of Taylor' s bones, however, revealed levels of arsenic comparable to those found in the bones of Taylor' s contemporaries. These levels are much lower than the levels of arsenic that remain in the bones of arsenic poisoning victims who live for more than a day after ingesting a lethal dose of the poison.
Question:
Which of the following is most strongly supported by the statements given?
Options:
A. Taylor's death was not the result of any kind of poisoning.
B. The symptoms that Taylor began showing five days before his death are consistent with poisoning other than arsenic poisoning.
C. It is unusual for a person who has ingested a lethal dose of arsenic to survive for more than a day.
D. The symptoms that Taylor began showing five days before his death were not caused by a lethal dose of arsenic.
| [
{
"content": "Solve the following problem step-by-step:\nGiven the context and corresponding question, choose the correct answer from the options.\n\nContext: \nThe symptoms that United States President Zachary Taylor began showing five days before his death are consistent with arsenic poisoning. Recent examina... | [
{
"content": "Solve the following problem step-by-step:\nGiven the context and corresponding question, choose the correct answer from the options.\n\nContext: \nThe symptoms that United States President Zachary Taylor began showing five days before his death are consistent with arsenic poisoning. Recent examina... | false |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
Given that $$(x+y+z)(xy+xz+yz)=25$$and that $$x^2(y+z)+y^2(x+z)+z^2(x+y)=7$$for real numbers $x$, $y$, and $z$, what is the value of $xyz$? | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nGiven that $$(x+y+z)(xy+xz+yz)=25$$and that $$x^2(y+z)+y^2(x+z)+z^2(x+y)=7$$for real numbers $x$, $y$, and $z$, what is the value of $xyz$?",
"role": "u... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nGiven that $$(x+y+z)(xy+xz+yz)=25$$and that $$x^2(y+z)+y^2(x+z)+z^2(x+y)=7$$for real numbers $x$, $y$, and $z$, what is the value of $xyz$?",
"role": "u... | false |
Tool available:
[1] Python interpreter
When you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.
Solve the following math problem step-by-step.
Simplify your answer as much as possible.
Given the following table:
Table title: Book types
Table: Type | Frequency
mystery | ?
nonfiction | 6
science fiction | 13
realistic fiction | 7
Find the answer to the question: Ms. Watson, the school librarian, wants to know which types of books the students like. She records the type of each book checked out from the library on Friday. There were 3 times as many mystery books checked out as nonfiction books. How many mystery books were checked out?
| [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nGiven the following table:\nTable title: Bo... | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nGiven the following table:\nTable title: Bo... | false |
Tool available:
[1] Python interpreter
When you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.
Solve the following math problem step-by-step.
Simplify your answer as much as possible.
Compute $\arccos (\sin 2).$ All functions are in radians. | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nCompute $\\arccos (\\sin 2).$ All function... | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nCompute $\\arccos (\\sin 2).$ All function... | false |
Write Python code to solve the task:
Mirko likes to play with strings of characters, but this time he has taken it too far – he put an “explosion” in the string! An explosion is a series of characters which, if found in the vicinity of fire, explodes and starts a chain reaction.
Mirko, being as negligent as he usually is, forgot that his string contained an explosion and placed it near a candlelight. Thus the chain reaction began.
The chain reaction takes place in the following way:
- if a string contains explosions, they all explode and a new string is formed by concatenating the pieces without the exploding parts
- this concatenation could possibly create new explosions
- the chain reaction repeats while there are explosions in the string
Now Mirko wants to know whether anything will be left after this series of chain reactions. If nothing remains, output “FRULA” (without quotes). If, by any chance, something is left, output the final string remaining after all the reactions.
Please note: The explosion will not contain two equal characters.
-----Input-----
The first line of input contains Mirko’s string, ($1 \leq |\text {Mirko’s string}| \leq 1\ 000\ 000$).
The second line of input contains the explosion string, ($1 \leq |\text {explosion}| \leq 36$).
Both Mirko’s string and the explosion string consist of uppercase and lowercase letters of the English alphabet and digits 0, 1, …, 9. The characters in the explosion string are all different.
-----Output-----
The first and only line of output must contain the final string remaining after all the reactions as stated in the task.
Clarification of the second example: Firstly, the bombs on positions $1$ and $6$ explode. Then we are left with ****1****2ab (where * marks the character that exploded) and when that string is put together, we get 12ab. Sadly, that is an explosion all over again so it disappears.
-----Examples-----
Sample Input:
mirkovC4nizCC44
C4
Sample Output:
mirkovniz | [
{
"content": "Write Python code to solve the task:\nMirko likes to play with strings of characters, but this time he has taken it too far – he put an “explosion” in the string! An explosion is a series of characters which, if found in the vicinity of fire, explodes and starts a chain reaction.\n\nMirko, being a... | [
{
"content": "Write Python code to solve the task:\nMirko likes to play with strings of characters, but this time he has taken it too far – he put an “explosion” in the string! An explosion is a series of characters which, if found in the vicinity of fire, explodes and starts a chain reaction.\n\nMirko, being a... | false |
Solve the following problem step-by-step:
Given the context and corresponding question, choose the correct answer from the options.
Context:
Arguing that there was no trade between Europe and East Asia in the early Middle Ages because there are no written records of such trade is like arguing that the yeti, an apelike creature supposedly existing in the Himalayas, does not exist because there have been no scientifically confirmed sightings. A verifiable sighting of the yeti would prove that the creature does exist, but the absence of sightings cannot prove that it does not.
Question:
Which one of the following best expresses the point of the argument?
Options:
A. The view that there was trade between Europe and East Asia in the early Middle Ages can only be disproved by showing that no references to this trade exist in surviving records.
B. In order to prove that in the early Middle Ages there was trade between Europe and East Asia it is necessary to find both Asian and European evidence that such trade existed.
C. There is no more evidence that trade between Europe and East Asia existed in the early Middle Ages than there is that the yeti exists.
D. That trade between Europe and East Asia did not exist in the early Middle Ages cannot be established simply by the absence of a certain sort of evidence that this trade existed.
| [
{
"content": "Solve the following problem step-by-step:\nGiven the context and corresponding question, choose the correct answer from the options.\n\nContext: \nArguing that there was no trade between Europe and East Asia in the early Middle Ages because there are no written records of such trade is like arguin... | [
{
"content": "Solve the following problem step-by-step:\nGiven the context and corresponding question, choose the correct answer from the options.\n\nContext: \nArguing that there was no trade between Europe and East Asia in the early Middle Ages because there are no written records of such trade is like arguin... | true |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
for how many unique pairs of nonnegative integers { a , b } is the equation a ^ 2 - b ^ 2 = 235 true ? | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nfor how many unique pairs of nonnegative integers { a , b } is the equation a ^ 2 - b ^ 2 = 235 true ?",
"role": "user"
},
{
"content": "Step 1:... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nfor how many unique pairs of nonnegative integers { a , b } is the equation a ^ 2 - b ^ 2 = 235 true ?",
"role": "user"
},
{
"content": "Step 1:... | false |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
Jenna is making a costume for her role in Oliver Twist. She needs to make an overskirt and two petticoats. Each skirt uses a rectangle of material that measures 12 feet by 4 feet. She also needs to make a bodice that uses 2 square feet of material for the shirt and 5 square feet of fabric for each of the sleeves. If the material she uses costs $3 per square foot, how much does she spend on the material in total? | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nJenna is making a costume for her role in Oliver Twist. She needs to make an overskirt and two petticoats. Each skirt uses a rectangle of material that meas... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nJenna is making a costume for her role in Oliver Twist. She needs to make an overskirt and two petticoats. Each skirt uses a rectangle of material that meas... | true |
Tool available:
[1] Python interpreter
When you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.
Solve the following math problem step-by-step.
Simplify your answer as much as possible.
Given the following table:
Table title: Class size
Table: Teacher | Number of students
Miss Urban | 35
Mrs. Truman | 33
Miss Jones | 30
Mrs. Novak | 35
Ms. Hershfeld | 30
Mrs. King | 35
Find the answer to the question: Some teachers compared how many students are in their classes. What is the mode of the numbers?
| [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nGiven the following table:\nTable title: Cl... | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nGiven the following table:\nTable title: Cl... | false |
Write Python code to solve the task:
Several drivers had lined up for the Drag Racing Competition at the Tokyo Drift Street. Dom had organized the competition, but he was not available during all the races and hence he did not know their results. In the drag race match, 2 drivers race against each other and one of them is the winner, and the loser gets eliminated - there were no ties. The competition takes place as a knockout tournament. There are a total of N rounds, and the number of players in the tournament are 2^N. Dom's friend Letty gave him the results of all the races in this format:
A B - denoting: Match was between A and B, and the winner was A.
Note: The results are not ordered.
Input:
First line contains a single positive integer N.
2^N - 1 lines follow - Each line contains details of a match.
Output:
Print the name of the driver who won the Drag Racing Competition.
Constraints:
1 ≤ N ≤ 15
Names of drivers do not contain more than 15 characters.
(Candidates solving the question in Python or C++ will be given preference)
SAMPLE INPUT
2
a b
a c
c d
SAMPLE OUTPUT
a
Explanation
Consider [a, b, c, d] to be the drivers.
c eliminates d.
a eliminates c.
a eliminates b.
Hence, a is the winner. | [
{
"content": "Write Python code to solve the task:\nSeveral drivers had lined up for the Drag Racing Competition at the Tokyo Drift Street. Dom had organized the competition, but he was not available during all the races and hence he did not know their results. In the drag race match, 2 drivers race against eac... | [
{
"content": "Write Python code to solve the task:\nSeveral drivers had lined up for the Drag Racing Competition at the Tokyo Drift Street. Dom had organized the competition, but he was not available during all the races and hence he did not know their results. In the drag race match, 2 drivers race against eac... | true |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
4 weavers can weave 4 mats in 4 days . at the same rate , how many mats would be woven by 10 weavers in 10 days ? | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\n4 weavers can weave 4 mats in 4 days . at the same rate , how many mats would be woven by 10 weavers in 10 days ?",
"role": "user"
},
{
"content... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\n4 weavers can weave 4 mats in 4 days . at the same rate , how many mats would be woven by 10 weavers in 10 days ?",
"role": "user"
},
{
"content... | true |
Write Python code to solve the task:
# Task
Given a binary number, we are about to do some operations on the number. Two types of operations can be here:
* ['I', i, j] : Which means invert the bit from i to j (inclusive).
* ['Q', i] : Answer whether the i'th bit is 0 or 1.
The MSB (most significant bit) is the first bit (i.e. i = `1`). The binary number can contain leading zeroes.
## Example
```python
binary_simulation("0011001100", [['I', 1, 10], ['I', 2, 7], ['Q', 2], ['Q', 1], ['Q', 7], ['Q', 5]]) === [ '0', '1', '1', '0' ];
binary_simulation("1011110111", [['I', 1, 10], ['I', 2, 7], ['Q', 2], ['Q', 1], ['Q', 7], ['Q', 5]]) === [ '0', '0', '0', '1' ];
binary_simulation("1011110111", [['I', 1, 10], ['I', 2, 7]]) === [];
binary_simulation("0000000000", [['I', 1, 10], ['Q', 2]]) === ['1'];
```
## Note
* All inputs are valid.
* Please optimize your algorithm to avoid time out. | [
{
"content": "Write Python code to solve the task:\n# Task\n\nGiven a binary number, we are about to do some operations on the number. Two types of operations can be here:\n\n* ['I', i, j] : Which means invert the bit from i to j (inclusive).\n\n* ['Q', i] : Answer whether the i'th bit is 0 or 1.\n\nThe MSB (mo... | [
{
"content": "Write Python code to solve the task:\n# Task\n\nGiven a binary number, we are about to do some operations on the number. Two types of operations can be here:\n\n* ['I', i, j] : Which means invert the bit from i to j (inclusive).\n\n* ['Q', i] : Answer whether the i'th bit is 0 or 1.\n\nThe MSB (mo... | false |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
On a mall-wide sale, Andre bought a $1350 treadmill for a 30% discount and 2 pieces of 45-pound plates for $50 each. How much did Andre pay for the treadmill and plates? | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nOn a mall-wide sale, Andre bought a $1350 treadmill for a 30% discount and 2 pieces of 45-pound plates for $50 each. How much did Andre pay for the treadmil... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nOn a mall-wide sale, Andre bought a $1350 treadmill for a 30% discount and 2 pieces of 45-pound plates for $50 each. How much did Andre pay for the treadmil... | true |
Tool available:
[1] Python interpreter
When you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.
Solve the following math problem step-by-step.
Simplify your answer as much as possible.
The nonzero roots of the equation $x^2 + 6x + k = 0$ are in the ratio $2:1$. What is the value of $k$? | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nThe nonzero roots of the equation $x^2 + 6x... | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nThe nonzero roots of the equation $x^2 + 6x... | true |
Write Python code to solve the task:
Given a number N, you need to write a program that finds the sum of digits of the number till the number becomes a single digit and then check whether the number is Prime/Non-Prime.
Example 1:
Input:
N=5602
Output:
0
Explanation:
1st step=5+6+0+2=13
2nd step=1+3=4
Since 4 is not prime, so answer is 0.
Example 2:
Input:
N=12
Output:
1
Explanation:
1st step=1+2=3
Since, 3 is prime, so answer =1.
Your Task:
You don't need to read input or print anything.Your Task is to complete the function digitPrime() which takes a number N as input parameter and returns 1 if the final digit sum(adding digits until it becomes single-digit number) is prime.Otherwise, it returns 0.
Expected Time Complexity:O(1)
Expected Auxillary Space:O(1)
Constraints:
1<=N<=10^{9} | [
{
"content": "Write Python code to solve the task:\nGiven a number N, you need to write a program that finds the sum of digits of the number till the number becomes a single digit and then check whether the number is Prime/Non-Prime.\nExample 1:\nInput:\nN=5602\nOutput:\n0\nExplanation:\n1st step=5+6+0+2=13\n2n... | [
{
"content": "Write Python code to solve the task:\nGiven a number N, you need to write a program that finds the sum of digits of the number till the number becomes a single digit and then check whether the number is Prime/Non-Prime.\nExample 1:\nInput:\nN=5602\nOutput:\n0\nExplanation:\n1st step=5+6+0+2=13\n2n... | true |
Tool available:
[1] Python interpreter
When you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.
Solve the following math problem step-by-step.
Simplify your answer as much as possible.
what is the least number should be added to 1100 , so the sum of the number is completely divisible by 23 ? | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nwhat is the least number should be added to... | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nwhat is the least number should be added to... | true |
Write Python code to solve the task:
Given a non-negative integer, return an array / a list of the individual digits in order.
Examples:
```
123 => [1,2,3]
1 => [1]
8675309 => [8,6,7,5,3,0,9]
``` | [
{
"content": "Write Python code to solve the task:\nGiven a non-negative integer, return an array / a list of the individual digits in order.\n\nExamples:\n\n```\n123 => [1,2,3]\n\n1 => [1]\n\n8675309 => [8,6,7,5,3,0,9]\n```",
"role": "user"
},
{
"content": "Step 1: First, I need to calculate the wi... | [
{
"content": "Write Python code to solve the task:\nGiven a non-negative integer, return an array / a list of the individual digits in order.\n\nExamples:\n\n```\n123 => [1,2,3]\n\n1 => [1]\n\n8675309 => [8,6,7,5,3,0,9]\n```",
"role": "user"
},
{
"content": "Step 1: We are asked to find the last tw... | true |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
Tim decides to start selling necklaces he makes. He uses 10 charms to make each necklace. Each charm cost $15. He sells the necklace for $200. How much profit does he make if he sells 30? | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nTim decides to start selling necklaces he makes. He uses 10 charms to make each necklace. Each charm cost $15. He sells the necklace for $200. How much ... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nTim decides to start selling necklaces he makes. He uses 10 charms to make each necklace. Each charm cost $15. He sells the necklace for $200. How much ... | false |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
Which of the following statements are true?
A. 3 is a factor of 18.
B. 17 is a divisor of 187 but not of 52.
C. 24 is neither a divisor of 72 nor 67.
D. 13 is a divisor of 26 but not of 52.
E. 8 is a factor of 160.
Write your answer with the letters in alphabetical order, separated by commas. For example, if you think all five are true, you should type "A,B,C,D,E" (without the quotes). | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nWhich of the following statements are true?\n\nA. 3 is a factor of 18.\n\nB. 17 is a divisor of 187 but not of 52.\n\nC. 24 is neither a divisor of 72 no... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nWhich of the following statements are true?\n\nA. 3 is a factor of 18.\n\nB. 17 is a divisor of 187 but not of 52.\n\nC. 24 is neither a divisor of 72 no... | true |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
A function $f$ is defined by $f(z) = (4 + i) z^2 + \alpha z + \gamma$ for all complex numbers $z$, where $\alpha$ and $\gamma$ are complex numbers and $i^2 = - 1$. Suppose that $f(1)$ and $f(i)$ are both real. What is the smallest possible value of $| \alpha | + |\gamma |$? | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nA function $f$ is defined by $f(z) = (4 + i) z^2 + \\alpha z + \\gamma$ for all complex numbers $z$, where $\\alpha$ and $\\gamma$ are complex numbers and $... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nA function $f$ is defined by $f(z) = (4 + i) z^2 + \\alpha z + \\gamma$ for all complex numbers $z$, where $\\alpha$ and $\\gamma$ are complex numbers and $... | false |
Write Python code to solve the task:
Our cells go through a process called protein synthesis to translate the instructions in DNA into an amino acid chain, or polypeptide.
Your job is to replicate this!
---
**Step 1: Transcription**
Your input will be a string of DNA that looks like this:
`"TACAGCTCGCTATGAATC"`
You then must transcribe it to mRNA. Each letter, or base, gets transcribed.
```T -> A
A -> U
G -> C
C -> G```
Also, you will split it into groups of three, or _codons_.
The above example would become:
`"AUG UCG AGC GAU ACU UAG"`
---
**Step 2: Translation**
After you have the mRNA strand, you will turn it into an amino acid chain.
Each codon corresponds to an amino acid:
```
Ala GCU, GCC, GCA, GCG
Leu UUA, UUG, CUU, CUC, CUA, CUG
Arg CGU, CGC, CGA, CGG, AGA, AGG
Lys AAA, AAG
Asn AAU, AAC
Met AUG
Asp GAU, GAC
Phe UUU, UUC
Cys UGU, UGC
Pro CCU, CCC, CCA, CCG
Gln CAA, CAG
Ser UCU, UCC, UCA, UCG, AGU, AGC
Glu GAA, GAG
Thr ACU, ACC, ACA, ACG
Gly GGU, GGC, GGA, GGG
Trp UGG
His CAU, CAC
Tyr UAU, UAC
Ile AUU, AUC, AUA
Val GUU, GUC, GUA, GUG
Stop UAG, UGA, UAA```
Phew, that's a long list!
The above example would become:
`"Met Ser Ser Thr Asp Stop"`
Any additional sets of bases that aren't in a group of three aren't included. For example:
`"AUG C"`
would become
`"Met"`
---
Anyway, your final output will be the mRNA sequence and the polypeptide.
Here are some examples:
*In:*
`"TACAGCTCGCTATGAATC"`
*Out:*
`["AUG UCG AGC GAU ACU UAG","Met Ser Ser Asp Thr Stop"]`
---
*In:*
`"ACGTG"`
*Out:*
`["UGC AC","Cys"]` | [
{
"content": "Write Python code to solve the task:\nOur cells go through a process called protein synthesis to translate the instructions in DNA into an amino acid chain, or polypeptide.\n\nYour job is to replicate this!\n\n---\n\n**Step 1: Transcription**\n\nYour input will be a string of DNA that looks like t... | [
{
"content": "Write Python code to solve the task:\nOur cells go through a process called protein synthesis to translate the instructions in DNA into an amino acid chain, or polypeptide.\n\nYour job is to replicate this!\n\n---\n\n**Step 1: Transcription**\n\nYour input will be a string of DNA that looks like t... | false |
Tool available:
[1] Python interpreter
When you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.
Solve the following math problem step-by-step.
Simplify your answer as much as possible.
Alice made 52 friendship bracelets over spring break to sell at school. It only cost her $x in materials to make these bracelets. During the break, she gave 8 of her bracelets away. Back at school, she sells all of the remaining bracelets at $0.25 each. She made 8 profit on the sale of her bracelets. | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nAlice made 52 friendship bracelets over spr... | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nAlice made 52 friendship bracelets over spr... | true |
Write Python code to solve the task:
You are given an integer $x$ and an array of integers $a_1, a_2, \ldots, a_n$. You have to determine if the number $a_1! + a_2! + \ldots + a_n!$ is divisible by $x!$.
Here $k!$ is a factorial of $k$ — the product of all positive integers less than or equal to $k$. For example, $3! = 1 \cdot 2 \cdot 3 = 6$, and $5! = 1 \cdot 2 \cdot 3 \cdot 4 \cdot 5 = 120$.
-----Input-----
The first line contains two integers $n$ and $x$ ($1 \le n \le 500000$, $1 \le x \le 500000$).
The second line contains $n$ integers $a_1, a_2, \ldots, a_n$ ($1 \le a_i \le x$) — elements of given array.
-----Output-----
In the only line print "Yes" (without quotes) if $a_1! + a_2! + \ldots + a_n!$ is divisible by $x!$, and "No" (without quotes) otherwise.
-----Examples-----
Input
6 4
3 2 2 2 3 3
Output
Yes
Input
8 3
3 2 2 2 2 2 1 1
Output
Yes
Input
7 8
7 7 7 7 7 7 7
Output
No
Input
10 5
4 3 2 1 4 3 2 4 3 4
Output
No
Input
2 500000
499999 499999
Output
No
-----Note-----
In the first example $3! + 2! + 2! + 2! + 3! + 3! = 6 + 2 + 2 + 2 + 6 + 6 = 24$. Number $24$ is divisible by $4! = 24$.
In the second example $3! + 2! + 2! + 2! + 2! + 2! + 1! + 1! = 18$, is divisible by $3! = 6$.
In the third example $7! + 7! + 7! + 7! + 7! + 7! + 7! = 7 \cdot 7!$. It is easy to prove that this number is not divisible by $8!$. | [
{
"content": "Write Python code to solve the task:\nYou are given an integer $x$ and an array of integers $a_1, a_2, \\ldots, a_n$. You have to determine if the number $a_1! + a_2! + \\ldots + a_n!$ is divisible by $x!$.\n\nHere $k!$ is a factorial of $k$ — the product of all positive integers less than or equa... | [
{
"content": "Write Python code to solve the task:\nYou are given an integer $x$ and an array of integers $a_1, a_2, \\ldots, a_n$. You have to determine if the number $a_1! + a_2! + \\ldots + a_n!$ is divisible by $x!$.\n\nHere $k!$ is a factorial of $k$ — the product of all positive integers less than or equa... | true |
Tool available:
[1] Python interpreter
When you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.
Solve the following math problem step-by-step.
Simplify your answer as much as possible.
Each month, Diego deposits his $x paycheck into a bank account, which he then uses for all of his expenses, which amount to $4,600 per month. How much, in dollars, Diego saves 4800 over the course of a year. | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nEach month, Diego deposits his $x paycheck ... | [
{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSimplify your answer as much as possible.\nEach month, Diego deposits his $x paycheck ... | false |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
for all positive integers m and v , the expression m θ v represents the remainder when m is divided by v . what is the value of ( ( 90 θ 33 ) θ 17 ) - ( 99 θ ( 33 θ 17 ) ) ? | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nfor all positive integers m and v , the expression m θ v represents the remainder when m is divided by v . what is the value of ( ( 90 θ 33 ) θ 17 ) - ( 99 ... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nfor all positive integers m and v , the expression m θ v represents the remainder when m is divided by v . what is the value of ( ( 90 θ 33 ) θ 17 ) - ( 99 ... | true |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
Matilda has half as many jellybeans as Matt. Matt has ten times as many jellybeans as Steve. If Steve has 84 jellybeans, how many jellybeans does Matilda have? | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nMatilda has half as many jellybeans as Matt. Matt has ten times as many jellybeans as Steve. If Steve has 84 jellybeans, how many jellybeans does Matilda ha... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nMatilda has half as many jellybeans as Matt. Matt has ten times as many jellybeans as Steve. If Steve has 84 jellybeans, how many jellybeans does Matilda ha... | true |
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