messages listlengths 2 2 |
|---|
[
{
"role": "user",
"content": "Suppose real numbers $a$, $b$, and $c$ are positive, and $ab + ac + bc + 2\\sqrt{5} = 6 - a^2$. Determine the minimum value of $2a + b + c$.\n\nA: $\\sqrt{5} - 1$\nB: $\\sqrt{5} + 1$\nC: $2\\sqrt{5} + 2$\nD: $2\\sqrt{5} - 2$",
"info": {
"source": "GeneralThought-Feb25... |
[
{
"role": "user",
"content": "Your answer must contain exactly 3 bullet points. Use the markdown bullet points such as: * This is point 1. * Your response should contain at least 2 placeholders represented by square brackets, such as [address]. * Answer the following question: What are the key factors to co... |
[
{
"role": "user",
"content": "def get_histogram(input_list: list) -> dict:\n \"\"\"\n Takes a list of hashable elements and returns a dictionary representing the histogram of the input list.\n Keys of the dictionary are unique elements from the list and values are the counts of how often each eleme... |
[
{
"role": "user",
"content": "On the circumference of a circle, three points are chosen randomly and independently. What is the probability that the triangle formed by these points is acute-angled?",
"info": {
"source": "openThoughts",
"reference_answer": null,
"test_case": null,
... |
[
{
"role": "user",
"content": "from typing import List, Tuple\nimport itertools\n\ndef is_valid_permutation(perm: Tuple[int], k: int) -> bool:\n \"\"\"\n Check if the permutation is valid by ensuring the absolute difference\n between each adjacent element is at least k.\n\n >>> is_valid_permutati... |
[
{
"role": "user",
"content": "4. If the following conditions about a triangle are known, the one that cannot uniquely determine the shape of the triangle is ( ).\n(A) the ratio of two sides and the included angle\n(B) the ratio of the three altitudes\n(C) the ratio of the three medians\n(D) the ratio of one... |
[
{
"role": "user",
"content": "from typing import List\n\ndef sort_colors(nums: List[int]) -> None:\n \"\"\" Sorts the given list nums in-place so that all 0s come first,\n followed by all 1s, then all 2s. Uses the Dutch National Flag algorithm.\n \n >>> nums = [2, 0, 2, 1, 1, 0]\n >>> sort_co... |
[
{
"role": "user",
"content": "In a given list, every element appears an even number of times except for one. Find that element.\n\nExample:\n\ninput = [1,1,2,2,3,4,4]\noutput = 3\n\nCan you provide a Python solution for this problem?",
"info": {
"source": "KodCode",
"reference_answer": null,... |
[
{
"role": "user",
"content": "def is_palindromic(num):\n \"\"\"\n Check if the number is palindromic.\n >>> is_palindromic(121) True\n >>> is_palindromic(1331) True\n >>> is_palindromic(123) False\n >>> is_palindromic(1) True\n >>> is_palindromic(22) True\n \"\"\"\n\ndef count_palind... |
[
{
"role": "user",
"content": "Allen flips a fair two sided coin and rolls a fair $6$ sided die with faces numbered $1$ through $6$. What is the probability that the coin lands on heads and he rolls a number that is a multiple of $5$?\n\n$\\textbf{(A) }\\dfrac1{24}\\qquad\\textbf{(B) }\\dfrac1{12}\\qquad\\te... |
[
{
"role": "user",
"content": "The monotonic increasing interval of the function $f(x) = \\sin(2x + \\frac{\\pi}{4})$ $(0 \\leqslant x \\leqslant \\frac{\\pi}{2})$ is ______.",
"info": {
"source": "openR1Math_extended",
"reference_answer": "\\left[0, \\frac{\\pi}{8}\\right]",
"test_case... |
[
{
"role": "user",
"content": "(a) In how many ways can the number 105 be written as the difference of two perfect squares?\n\n(b) Show that it is not possible to write the number 106 as the difference of two perfect squares.\n\n##",
"info": {
"source": "openR1Math_default",
"reference_answer... |
[
{
"role": "user",
"content": "def sort_employees(employees: list, sorting_spec: list) -> list:\n \"\"\"\n Sorts the employees based on the provided sorting specification.\n \n Parameters:\n employees (list): A list of tuples where each tuple represents an employee's details in the format: (de... |
[
{
"role": "user",
"content": "Given the function $f(x)=a^{x}(a > 0,a\\neq 1)$, if $f(-2) < f(-3)$, then the range of $a$ is $(\\quad)$\n\nA: $2 < a < 3$\n\nB: $\\dfrac {1}{3} < a < \\dfrac {1}{2}$\n\nC: $a > 1$\n\nD: $0 < a < 1$",
"info": {
"source": "GeneralThought-Feb25",
"reference_answer... |
[
{
"role": "user",
"content": "Prove that the difference between the cube of an odd number and the number itself is divisible by 24.",
"info": {
"source": "openThoughts",
"reference_answer": "(2n+1)^3 - (2n+1) \\text{ is divisible by } 24",
"test_case": null,
"think_content": null... |
[
{
"role": "user",
"content": " Let $f(n)$ be the sum of the positive integer divisors of $n$. For how many values of $n$, where $1 \\le n \\le 25$, is $f(n)$ prime?",
"info": {
"source": "Bespoke17k",
"reference_answer": null,
"test_case": null,
"think_content": null,
"answ... |
[
{
"role": "user",
"content": "def find_path(grid: List[str]) -> str:\n \"\"\" Determine whether there is a valid path from the top-left to the bottom-right corner of the grid.\n \n Args:\n grid (List[str]): A list of strings representing the grid.\n \n Returns:\n str: \"YES\" if a valid... |
[
{
"role": "user",
"content": "### Scenario\nYou are working on a system that processes and modifies data sets represented by arrays. One of the functionalities involves the transformation of an array based on certain rules, creating a new array from the original one. Specifically, you need to implement a fu... |
[
{
"role": "user",
"content": " Find the sum of the reciprocals of the roots of $x^2-13x+4=0$.",
"info": {
"source": "openThoughts",
"reference_answer": null,
"test_case": null,
"think_content": null,
"answer_content": null
}
},
{
"role": "assistant",
"conten... |
[
{
"role": "user",
"content": "Improve the following Python function so that it also handles negative numbers and validates input type. The function should ascertain the primality of a given integer, returning true for prime numbers and false otherwise. Enhance the is_prime(n) function without altering its e... |
[
{
"role": "user",
"content": "What is the most appropriate diagnostic test to evaluate thyroid function in a 30-year-old woman with a history of Graves' disease treated with radioactive iodine, now presenting with low serum thyroxine levels and fatigue?",
"info": {
"source": "GeneralThought-Feb25"... |
[
{
"role": "user",
"content": "A coding arena is hosting a competition. One of the challenges requires participants to identify any two numbers from an array such that their sum equals a target number. If multiple pairs are possible, return any one of them. If no such pair exists, return -1. Can you help sol... |
[
{
"role": "user",
"content": "Write a function to decode a run-length encoded list. The encoded list is represented as a list of pairs `[count, value]`, where `count` is an integer representing how many times `value` appears consecutively. Your function should return the decoded list.",
"info": {
... |
[
{
"role": "user",
"content": "Given the function $$f(x)=x^{2}-2x\\sin\\left( \\frac {\\pi}{2}x\\right)+1$$, its two roots are denoted as $m$ and $n$ ($m<n$). Calculate $$\\int_{ m }^{ n } \\sqrt {1-x^{2}}dx$$.",
"info": {
"source": "openR1Math_extended",
"reference_answer": "\\frac {\\pi}{2}... |
[
{
"role": "user",
"content": "7.085. $10^{1+x^{2}}-10^{1-x^{2}}=99$.",
"info": {
"source": "openR1Math_default",
"reference_answer": "-1;1",
"test_case": null,
"think_content": null,
"answer_content": null
}
},
{
"role": "assistant",
"content": "<think>\nAlr... |
[
{
"role": "user",
"content": "Given an integer $n$, write a function that returns all combinations of well-formed parentheses pairs.\n\nConstraints\n\n* $1 \\leq n \\leq 8$\n\nInput\n\nThe input is given in the following format\n\n$n$\n\nOutput\n\nPrint all combinations of well-formed parentheses pairs in a... |
[
{
"role": "user",
"content": "Among the $6$ prime numbers \"$2$, $3$, $5$, $7$, $11$, $13$\", if any $2$ different numbers are selected, the probability that the sum of these two numbers is still a prime number is ( ).\n\nA: $\\frac{1}{5}$\n\nB: $\\frac{3}{10}$\n\nC: $\\frac{2}{5}$\n\nD: $\\frac{1}{2}$",
... |
[
{
"role": "user",
"content": "Three. (20 points) A tetrahedron has 6 edges and 4 triangular faces. Given that the 6 edge lengths are exactly the positive integers $n, n+$ $1, n+2, n+3, n+4, n+5$. If the perimeter of a certain triangular face is a multiple of 3, then this triangle is painted red; otherwise, ... |
[
{
"role": "user",
"content": "Write a function to filter a given list so that any number that is divisible by 7 and lies in an even index position is removed from the list. Additionally, the function should return the modified list sorted in a descending order.",
"info": {
"source": "KodCode",
... |
[
{
"role": "user",
"content": "Simplify or evaluate:\n(1) $(1)( \\dfrac {27}{8})^{- \\frac {2}{3}}-( \\dfrac {49}{9})^{0.5}+(0.008)^{- \\frac {2}{3}}× \\dfrac {2}{25}$\n(2) Compute $\\dfrac {\\lg 5\\cdot \\lg 8000+(\\lg 2^{ \\sqrt {3}})^{2}}{\\lg 600- \\dfrac {1}{2}\\lg 36- \\dfrac {1}{2}\\lg 0.01}$.",
"... |
[
{
"role": "user",
"content": "In the space rectangular coordinate system O-xyz, A(1, 2, 3), B(4, 5, 6), then $|AB|=$ ______.",
"info": {
"source": "openR1Math_extended",
"reference_answer": "3\\sqrt{3}",
"test_case": null,
"think_content": null,
"answer_content": null
}... |
[
{
"role": "user",
"content": "def sum_of_increasing_differences(n: int, arr: List[int]) -> int:\n \"\"\"Calculate the sum of the differences between consecutive elements where the first element is less than the second one.\n \n >>> sum_of_increasing_differences(5, [1, 3, 2, 5, 4])\n 5\n >>> s... |
[
{
"role": "user",
"content": "| Construct the section of the triangular prism $A B C A 1 B 1 C 1$ by a plane passing through points $A 1$ and $C$ and parallel to the line $B C 1$. In what ratio does this plane divide the edge $A B$?",
"info": {
"source": "openR1Math_default",
"reference_answ... |
[
{
"role": "user",
"content": "52. Find the particular solution of the equation $2 y d x=(1+x) d y$, if $y=4$ when $x=1$.",
"info": {
"source": "openR1Math_default",
"reference_answer": "(1+x)^2",
"test_case": null,
"think_content": null,
"answer_content": null
}
},
... |
[
{
"role": "user",
"content": "### Question: Count the Number of Digits\n\n#### Scenario\nYou are developing a feature for financial software that validates input numbers for formatting consistency. One important check is to ensure that all monetary amounts are expressed with no more than six digits, disrega... |
[
{
"role": "user",
"content": "def find_missing_number(numbers: List[int]) -> int:\n \"\"\"\n Finds the missing number in the array of first n natural numbers.\n \n :param numbers: List[int] - array containing first n natural numbers from 1 to n with one missing\n :return: int - the missing nu... |
[
{
"role": "user",
"content": "Example 11 Let $a, b, c, d, x, y, z, m$ all be positive real numbers, and satisfy\n$$\na+x=b+y=c+z=d+m=1 .\n$$\n\nProve: $a m+b x+c y+d z<2$.",
"info": {
"source": "openR1Math_extended",
"reference_answer": "a m + b x + c y + d z < 2",
"test_case": null,
... |
[
{
"role": "user",
"content": "from collections import deque\nfrom typing import List\n\ndef stutter_with_stack(stack: List[int]) -> List[int]:\n \"\"\" This function duplicates every value in the stack using an auxiliary stack.\n >>> stutter_with_stack([3, 7, 1, 14, 9])\n [3, 3, 7, 7, 1, 1, 14, 14,... |
[
{
"role": "user",
"content": "Write a Python code to find all the strongly connected components (SCCs) in a directed graph. The graph is represented using an adjacency list. The code should be efficient and utilize Tarjan's algorithm to find the SCCs.",
"info": {
"source": "KodCode",
"refere... |
[
{
"role": "user",
"content": "Write a quadratic radical that can be combined with $\\sqrt{3}$ ______.",
"info": {
"source": "openR1Math_extended",
"reference_answer": "2\\sqrt{3}",
"test_case": null,
"think_content": null,
"answer_content": null
}
},
{
"role": "... |
[
{
"role": "user",
"content": "From the sequence $1,2, \\ldots, 100$, we want to produce the sequence $2,3,4, . ., 99,100,1$ by performing steps in which we swap two | not necessarily adjacent | elements. What is the minimum number of steps required?",
"info": {
"source": "openR1Math_default",
... |
[
{
"role": "user",
"content": "def longest_common_subsequence(s1: str, s2: str) -> str:\n \"\"\" \n Returns the longest common subsequence of s1 and s2 using dynamic programming.\n >>> longest_common_subsequence(\"\", \"\") == \"\"\n >>> longest_common_subsequence(\"abcde\", \"\") == \"\"\n >>... |
[
{
"role": "user",
"content": "If the maximum value of the function $y=x^{2}-2ax+3$ on the interval $x\\in \\left[1,3\\right]$ is $6$, then the real number $a=\\_\\_\\_\\_\\_\\_$.",
"info": {
"source": "openR1Math_extended",
"reference_answer": "1",
"test_case": null,
"think_conte... |
[
{
"role": "user",
"content": "Given that $f(x)$ is an odd function on $\\mathbb{R}$, and when $x > 0$, $f(x)=\\sqrt{x}$, find $f(-9)$ ___.",
"info": {
"source": "openR1Math_extended",
"reference_answer": "-3",
"test_case": null,
"think_content": null,
"answer_content": null... |
[
{
"role": "user",
"content": "Calculate: $(-1)^{2024}-\\frac{1}{2} \\times [8-(-2)^{2}]$.",
"info": {
"source": "GeneralThought-Feb25",
"reference_answer": "-1",
"test_case": null,
"think_content": null,
"answer_content": null
}
},
{
"role": "assistant",
"co... |
[
{
"role": "user",
"content": "def calculate_area(x, y):\n \"\"\"Return the area of a rectangle given the dimensions x and y\"\"\"\n area = x * y\n return area",
"info": {
"source": "KodCode",
"reference_answer": null,
"test_case": "{\"test_code\": \"from solution import calcul... |
[
{
"role": "user",
"content": "What is the difference in energy between its allowed states of vibration for a nitrogen molecule?",
"info": {
"source": "GeneralThought-Feb25",
"reference_answer": "0.29 eV",
"test_case": null,
"think_content": null,
"answer_content": null
... |
[
{
"role": "user",
"content": "Given that the function $y=f(x)$ is both a linear function and an odd function, and it is an increasing function on $(-\\infty, +\\infty)$, and it satisfies $f[f(x)]=4x$, find the expression for the function $y=f(x)$.",
"info": {
"source": "GeneralThought-Feb25",
... |
[
{
"role": "user",
"content": "A series RL circuit, with R = 100 Ω and L = 0.2 H, has a 100-V source applied at t = 0; then a second source, of magnitude 50 V with the same polarity, is switched in at t' = t', replacing the first source. Find t' such that the current is constant at 0.5 A for t > t'.",
"i... |
[
{
"role": "user",
"content": "def count_connected_components(N: int, M: int, edges: List[Tuple[int, int]]) -> int:\n \"\"\" Returns the number of connected components in the graph.\n \n Parameters:\n N (int): Number of nodes\n M (int): Number of edges\n edges (list of tuples): List of edge... |
[
{
"role": "user",
"content": "If $9210-9124=210-\\square$, the value represented by the $\\square$ is\n(A) 296\n(B) 210\n(C) 186\n(D) 124\n(E) 24",
"info": {
"source": "openR1Math_default",
"reference_answer": "124",
"test_case": null,
"think_content": null,
"answer_content... |
[
{
"role": "user",
"content": "def max_non_overlapping_tasks(n, tasks):\n \"\"\"\n Determines the maximum number of non-overlapping tasks that can be completed.\n \n Args:\n n (int): The number of tasks.\n tasks (list of tuples): Each tuple contains the start and end time of a task (si, ei)... |
[
{
"role": "user",
"content": "Given the hyperbola $$C: \\frac {x^{2}}{a^{2}}- \\frac {y^{2}}{b^{2}}=1 (a>0，b>0)$$, if the slope angle of one of its asymptotes is twice the slope angle of the line $l: x-2y+1=0$, then the eccentricity of the hyperbola is ( )\n\nA: $$\\frac {5}{3}$$\n\nB: $$\\frac { \\sqrt ... |
[
{
"role": "user",
"content": "Given that $\\{a_n\\}$ is a geometric sequence with a positive common ratio, and $a_1 = 1$, $a_5 = 16$, then $s_7 = \\_\\_\\_\\_\\_\\_$.",
"info": {
"source": "openR1Math_extended",
"reference_answer": "127",
"test_case": null,
"think_content": null,... |
[
{
"role": "user",
"content": "Given that $O$ is the origin, the equation of the parabola $C$ is $y^{2}=8x$. $F$ is the focus of $C$, $A(2,4)$, and the line $l$ passing through point $F$ intersects the parabola $C$ at points $P$ and $Q$ (other than point $A$). $AP$ and $AQ$ intersect the $x$-axis at points $... |
[
{
"role": "user",
"content": "For regression analysis on two variables $y$ and $x$, a set of sample data is obtained: $(x_1, y_1)$, $(x_2, y_2)$, …, $(x_n, y_n)$. Among the following statements, the incorrect one is ( )\nA: If the residuals are always 0, then $R^2$ is 1.\nB: The model with a smaller sum of... |
[
{
"role": "user",
"content": "Could you provide a simple Python code to simulate a dice roll where the dice has 6 sides?",
"info": {
"source": "KodCode",
"reference_answer": null,
"test_case": "{\"test_code\": \"from solution import roll_dice\\n\\ndef test_roll_dice_in_range():\\n #... |
[
{
"role": "user",
"content": "#### Persistent Dictionary Using Shelves in Python\n\nIn this task, you are required to implement a function that uses the `shelve` module to maintain a persistent dictionary for storing and managing user data. The function should be capable of adding, retrieving, updating, and... |
[
{
"role": "user",
"content": "def can_player1_win(nums: List[int]) -> bool:\n \"\"\"\n Determines if Player 1 can be guaranteed to win or end the game in a tie,\n assuming both players play optimally.\n\n Args:\n nums (list of int): The input array of integers.\n\n Returns:\n bool: True... |
[
{
"role": "user",
"content": "In Sam's collection, there are ten more black pens than blue pens and a certain ratio of blue pens to pencils. There are also eight pencils and two fewer red pens than pencils. There are 48 pens in all in Sam's collection. What is the ratio of blue pens to pencils?",
"info"... |
[
{
"role": "user",
"content": "Problem 8. Form the equation of the plane $\\alpha$, passing through the midpoint $M$ of the segment $A D$ and perpendicular to the line $C B$, if $A(-1 ; 2 ;-3), D(-5 ; 6$; $-1), C(-3 ; 10 ;-5), B(3 ; 4 ; 1)$.",
"info": {
"source": "openR1Math_default",
"refere... |
[
{
"role": "user",
"content": "import math\nfrom typing import List, Tuple\n\ndef are_coprime_pairs(n: int, pairs: List[Tuple[int, int]]) -> List[str]:\n \"\"\"\n For each pair of integers, determine if they are coprime.\n \n :param n: number of pairs.\n :param pairs: list of tuples, where eac... |
[
{
"role": "user",
"content": "Prove that for all real numbers \\(a, b, c, d\\) such that \\(a+b+c+d=1\\), the following inequality holds:\n\n$$\na b + b c + c d + d a \\leq \\frac{1}{4}\n$$",
"info": {
"source": "openThoughts",
"reference_answer": null,
"test_case": null,
"think_... |
[
{
"role": "user",
"content": "Point M is any point on the parabola $P: y^2 = 4x$. A circle with M as its center and tangent to the directrix of $P$ passes through a fixed point Q. Find the coordinates of Q.",
"info": {
"source": "openR1Math_extended",
"reference_answer": "(1, 0)",
"tes... |
[
{
"role": "user",
"content": "\nLet \\(AMOL\\) be a quadrilateral with \\(AM = 10\\), \\(MO = 11\\), and \\(OL = 12\\). Given that the perpendicular bisectors of sides \\(AM\\) and \\(OL\\) intersect at the midpoint of segment \\(AO\\), find the length of side \\(LA\\).",
"info": {
"source": "open... |
[
{
"role": "user",
"content": "from typing import List, Tuple\n\ndef find_shortest_path(n: int, m: int, flights: List[Tuple[int, int]], queries: List[Tuple[int, int]]) -> List[int]:\n \"\"\" \n Find the shortest path between two cities.\n\n Given the number of cities and the direct flight routes, ea... |
[
{
"role": "user",
"content": "Given an increasing sequence $\\{a_{n}\\}$ where all terms are positive integers, the sum of the first $n$ terms is $S_{n}$. If $a_{1}=3$ and $S_{n}=2023$, what is the value of $a_{n}$ when $n$ takes its maximum value?\n\nA: $10$\n\nB: $61$\n\nC: $64$\n\nD: $73$",
"info": {... |
[
{
"role": "user",
"content": "## Task A-2.6.\n\nIn a dining room measuring $6 \\mathrm{~m} \\times 6 \\mathrm{~m}$, one corner is occupied by a rectangular card table with dimensions $2 \\mathrm{~m} \\times$ $1.5 \\mathrm{~m}$. What is the radius of the largest circular rug that can be spread on the dining ... |
[
{
"role": "user",
"content": "### Problem Description\n\nYou are given a non-negative integer represented as a non-empty list of digits. Increment the integer by one and return the resulting list of digits.\n\nYou may assume the integer does not contain any leading zero, except the number 0 itself.\n\n### F... |
[
{
"role": "user",
"content": "What is the remainder when \\[3^{2000}\\] is divided by 5?",
"info": {
"source": "Dolphin-R1",
"reference_answer": null,
"test_case": null,
"think_content": null,
"answer_content": null
}
},
{
"role": "assistant",
"content": "<t... |
[
{
"role": "user",
"content": "9. (10 points) The area of rectangle $A B C D$ is 416 square centimeters, and the vertex $F$ of trapezoid $A F G E$ is on $B C$, with $D$ being the midpoint of the waist $E G$. Try to find the area of trapezoid $A F G E$.\n\n",
"info": {
"source": "openR1Math_default"... |
[
{
"role": "user",
"content": "Exercise 15. Let $A B C D$ be a parallelogram with area 1 and $M$ a point on the segment $[B D]$ such that $M D=3 M B$. Let $N$ be the point of intersection of the lines $(A M)$ and $(C B)$. Calculate the area of the triangle $M N D$.\n\n",
"info": {
"source": "openR1... |
[
{
"role": "user",
"content": "8.3. In quadrilateral $A B C D$, points $E$, $F$, $G$ are the midpoints of sides $A B$, $B C$, $A D$ respectively. It is known that $G E \\perp A B$, $G F \\perp B C$, $\\angle A B C=96^{\\circ}$. Try to find the degree measure of $\\angle A C D$.",
"info": {
"source"... |
[
{
"role": "user",
"content": "4. Find the numerical value of $\\left(1-\\cot 37^{\\circ}\\right)\\left(1-\\cot 8^{\\circ}\\right)$.",
"info": {
"source": "openR1Math_extended",
"reference_answer": "2",
"test_case": null,
"think_content": null,
"answer_content": null
}
... |
[
{
"role": "user",
"content": "def display_message_box(box_type: str, title: str, message: str) -> str:\n \"\"\" \n Create a helper function that will present different types of message boxes based on input parameters.\n \n Parameters:\n box_type (str): Type of the message box to display (... |
[
{
"role": "user",
"content": "def get_top_participants(preliminary_scores, semi_final_scores, T, S):\n \"\"\"\n Returns the IDs of participants advancing to the final round based on their scores.\n \n preliminary_scores: List of tuples of the form (ID, score) for the preliminary round.\n semi... |
[
{
"role": "user",
"content": "The truncated right circular cone has a large base radius 10 cm and a small base radius of 5 cm. The height of the truncated cone is 8 cm. How many $\\text{cm}^3$ are in the volume of this solid?",
"info": {
"source": "Dolphin-R1",
"reference_answer": null,
... |
[
{
"role": "user",
"content": "def max_coins(grid: List[List[int]]) -> int:\n \"\"\" Find the maximum number of coins Aelaya can collect when moving from the top-left corner to the bottom-right corner of a grid.\n >>> max_coins([\n ... [1, 3, 1],\n ... [1, 5, 1],\n ... [4, 2, 1]\n ... |
[
{
"role": "user",
"content": "2.77 If two people, A and B, run on a circular track at their respective constant speeds, and if they start from the same point and run in opposite directions, B takes another 8 minutes to reach the starting point after their first meeting. It is known that A takes 6 minutes to... |
[
{
"role": "user",
"content": "def strings_to_length_dict(input_list):\n \"\"\"\n Takes a list of strings and returns a dictionary where each key is a string from the list \n and the corresponding value is the length of that string.\n\n :param input_list: List of strings\n :return: Dictionary ... |
[
{
"role": "user",
"content": "A sum fetched a total simple interest of Rs. 4016.25 at the rate of 1% p.a. The sum is Rs. 44625. How many years did it take to earn the interest?",
"info": {
"source": "Dolphin-R1",
"reference_answer": null,
"test_case": null,
"think_content": null,... |
[
{
"role": "user",
"content": "Given that $\\sin (α+ \\frac {π}{3})+ \\sin α= \\frac {9 \\sqrt {7}}{14}$, with $0 < α < \\frac {π}{3}$:\n(1) Find the value of $\\sin α$;\n(2) Find the value of $\\cos (2α- \\frac {π}{4})$.",
"info": {
"source": "openR1Math_extended",
"reference_answer": "\\fra... |
[
{
"role": "user",
"content": "### Coding Challenge\n\n#### Scenario\nYou are designing a simulation software that needs to determine whether a grid is bipartite. In graph theory, a bipartite graph is one that can be colored using two colors such that no two adjacent nodes share the same color. You need to i... |
[
{
"role": "user",
"content": "Use each of the five digits $3, 5, 6, 8,$ and $9$ only once to form a three-digit integer and a two-digit integer which will be multiplied together. What is the three-digit integer that results in the greatest product?",
"info": {
"source": "Dolphin-R1",
"refere... |
[
{
"role": "user",
"content": "The zero of the function $f(x) = 3^x + \\ln x - 5$ is in the interval ( ) \nA: $(0, 1)$ \nB: $(1, 2)$ \nC: $(2, 3)$ \nD: $(3, 4)$",
"info": {
"source": "openR1Math_extended",
"reference_answer": "B",
"test_case": null,
"think_content": null,
... |
[
{
"role": "user",
"content": "def divide(a, b):\n \"\"\"\n Returns the result of dividing the first number by the second.\n If the second number is zero, returns None.\n\n >>> divide(10, 2)\n 5\n >>> divide(10, 0)\n None\n >>> divide(0, 5)\n 0\n >>> divide(-10, -2)\n 5\n ... |
[
{
"role": "user",
"content": "Vitamin-B3, or Niacin, is an essential nutrient for humans. Its molecular structure is shown on the right. A $0.0050 \\mathrm{~mol} \\mathrm{~L}^{-1}$ solution of Niacin in water has a $\\mathrm{pH}$ of 3.56 . What is the percentage ionization of niacin in water?\nA: $1.4 \\%$\... |
[
{
"role": "user",
"content": "Determine the number of positive integer solutions $(x,y, z)$ to the equation $xyz = 2(x + y + z)$ .",
"info": {
"source": "data_ablation_full59K",
"reference_answer": "1. We start with the given equation:\n \\[\n xyz = 2(x + y + z)\n \\]\n\n2. Assume \... |
[
{
"role": "user",
"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.It’s Christmas time and JW’s $1$-dimensional shop is selling Christmas trees. However, the demand ... |
[
{
"role": "user",
"content": "Write a code snippet that computes the sum of all prime numbers between 1 and 100, excluding the number 2.",
"info": {
"source": "dolphin_R1_other",
"reference_answer": null,
"test_case": null,
"think_content": null,
"answer_content": null
... |
[
{
"role": "user",
"content": "Prove that: $\\frac{{\\tan\\alpha \\tan2\\alpha}}{{\\tan2\\alpha-\\tan\\alpha}}+\\sqrt{3}(\\sin^2\\alpha-\\cos^2\\alpha)=2\\sin\\left(2\\alpha-\\frac{\\pi}{3}\\right)$.",
"info": {
"source": "GeneralThought-Feb25",
"reference_answer": "\\[\n\\boxed{\\frac{{\\tan... |
[
{
"role": "user",
"content": "Implement a Python function to find the most suitable segment for a given value in a non-overlapping, positively sorted 2D array and insert the value into that segment. Each segment in the array is defined as [start, end], and the value can be inserted as long as start <= value... |
[
{
"role": "user",
"content": "There are two enzymes necessary to digest dietary glycogen, α-amylase and debranching enzyme. What are the functions of each?",
"info": {
"source": "GeneralThought-Feb25",
"reference_answer": "α-Amylase is an endoglycosidase that hydrolyzes α-(1→4) linkages to p... |
[
{
"role": "user",
"content": "import math\nfrom typing import Tuple, List\n\ndef unique_combinations(n: int, k: int) -> int:\n \"\"\"\n Returns the total number of unique combinations to choose k problems from n problems.\n This is calculated using the combination formula C(n, k) = n! / (k!(n-k)!)\... |
[
{
"role": "user",
"content": "Calculate the result of $12a^{4}b^{3}c\\div (-4a^{3}b^{2})$.\n\nA: $3a^{2}bc$\n\nB: $-3a^{2}bc$\n\nC: $-3abc$\n\nD: $3abc$",
"info": {
"source": "openR1Math_extended",
"reference_answer": "C",
"test_case": null,
"think_content": null,
"answer_c... |
[
{
"role": "user",
"content": "**Question: Cache Implementation using `WeakKeyDictionary`**\n\nIn this task, you are required to implement a simple cache system using the `weakref.WeakKeyDictionary` class from the `weakref` module. The cache should be designed to store and retrieve values based on unique obj... |
[
{
"role": "user",
"content": "A is 238. A is greater than B by 143. B is lesser than C by 304. Find the value of A+C.",
"info": {
"source": "Dolphin-R1",
"reference_answer": null,
"test_case": null,
"think_content": null,
"answer_content": null
}
},
{
"role": "a... |
[
{
"role": "user",
"content": "### Function Implementation\nYou are required to implement a function that filters an array to only include elements within a specified range. The input should be an array of numbers and two additional parameters defining the minimum and maximum limits of the range. If a limit ... |
[
{
"role": "user",
"content": "def min_height_difference(heights: List[int]) -> int:\n \"\"\" Calculate the minimum possible difference between the height of the tallest remaining tree\n and the shortest remaining tree after cutting down some trees.\n >>> min_height_difference([3, 1, 4, 7, 2]) 1\n ... |
[
{
"role": "user",
"content": "An article with a cost price of 180 is sold at a certain profit percentage. The selling price is 207. What is the profit percentage?",
"info": {
"source": "Dolphin-R1",
"reference_answer": null,
"test_case": null,
"think_content": null,
"answer... |
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