original_problem stringlengths 35 10.3k | original_reasoning_trace stringlengths 736 86.4k | conversations listlengths 2 2 |
|---|---|---|
Given a sentence containing words separated by spaces, identify the length of the longest substring which has words arranged in alphabetically increasing order. Words are considered in alphabetical order if for each word in the substring, the first letter of the word is alphabetically less than or equal to the first le... | <think>
Okay, I need to solve this problem where I have to find the longest substring of words that are arranged in alphabetically increasing order based on their first letters. Hmm. So the input is a sentence with words separated by spaces, and I have to return the length of the longest such substring.
Let me think a... | [
{
"from": "human",
"value": "Given a sentence containing words separated by spaces, identify the length of the longest substring which has words arranged in alphabetically increasing order. Words are considered in alphabetical order if for each word in the substring, the first letter of the word is alphabet... |
Given a string `s` and an integer `k`, the task is to reverse the first `k` characters for every `2k` characters counting from the start of the string. If there are fewer than `k` characters left, reverse all of them. If there are less than `2k` but greater than or equal to `k` characters, then reverse the first `k` ch... | <think>
Okay, I need to solve this problem where I have to reverse parts of a string based on a given integer k. Let's see what the problem says.
The task is to reverse the first k characters for every 2k window, starting from the beginning of the string. Hmm. So, for example, if the string is "abcdefg" and k is 2, th... | [
{
"from": "human",
"value": "Given a string `s` and an integer `k`, the task is to reverse the first `k` characters for every `2k` characters counting from the start of the string. If there are fewer than `k` characters left, reverse all of them. If there are less than `2k` but greater than or equal to `k` ... |
In a city, there are n intersections connected by m unidirectional roads. Each intersection has multiple arrows pointing from it to other intersections, forming a directed graph.
A city planner wants to build a special path - the Longest Acyclic Path (LAP) - that starts from any intersection and ends at any intersecti... | <think>
Okay, I need to find the longest acyclic path in a directed graph. Hmm, the problem says it's the longest path with no cycles, which means each node is visited once. This is known as the Longest Path problem, and I remember that it's NP-hard for general graphs. But wait, the constraints here are n up to 2e5 and... | [
{
"from": "human",
"value": "In a city, there are n intersections connected by m unidirectional roads. Each intersection has multiple arrows pointing from it to other intersections, forming a directed graph.\n\nA city planner wants to build a special path - the Longest Acyclic Path (LAP) - that starts from ... |
You are given two circles on a 2D plane. Each circle is defined by its center coordinates and radius. Determine if the two circles intersect or touch each other.
The interior of the circle is considered to be part of the circle, i.e., if one circle is completely inside another, they do intersect. If the two circles on... | <think>
Okay, so I have to solve this problem where I need to determine if two circles on a 2D plane intersect or touch each other. Hmm. Let's think about how to approach this.
First, the problem says each circle is defined by its center coordinates (x, y) and a radius. I need to read two such circles from the input a... | [
{
"from": "human",
"value": "You are given two circles on a 2D plane. Each circle is defined by its center coordinates and radius. Determine if the two circles intersect or touch each other.\n\nThe interior of the circle is considered to be part of the circle, i.e., if one circle is completely inside anothe... |
A group of explorers is on a secret mission in a labyrinthine cave. The cave is represented as a combination of rooms connected by one-way passages. Each room has a unique number from 1 to n. The room with number 1 is the entrance, and the room with number n is the exit. The explorers need to find the shortest path fro... | <think>
Okay, I need to solve this problem where I have to find the shortest path in a directed graph from room 1 to room n. Hmm, right. The problem says that if there are multiple shortest paths, I can return any one. And if no path exists, return -1.
So, first, let's think about how to model this. The rooms are nod... | [
{
"from": "human",
"value": "A group of explorers is on a secret mission in a labyrinthine cave. The cave is represented as a combination of rooms connected by one-way passages. Each room has a unique number from 1 to n. The room with number 1 is the entrance, and the room with number n is the exit. The exp... |
James is a game designer and he is designing a new game for which he needs to create a set of challenges for the players. In this game, players have to collect various items to complete different missions. Each item has a certain value associated with it.
James has come up with a way to dynamically adjust the value of... | <think>
Okay, I need to solve this problem where I have to find the maximum value a player can collect without picking two consecutive items. Hmm, sounds familiar. Maybe it's similar to the house robber problem where you can't rob two adjacent houses. Oh right, the approach is similar.
So the input is a list of intege... | [
{
"from": "human",
"value": "James is a game designer and he is designing a new game for which he needs to create a set of challenges for the players. In this game, players have to collect various items to complete different missions. Each item has a certain value associated with it.\n\nJames has come up wi... |
In a distant galaxy, the inhabitants use a unique numeral system known as the "Galactic Numeral System". This system is quite similar to the Roman numeral system, but it's more flexible. You are tasked with converting a given number from this system to the standard decimal numeral system.
The Galactic Numeral System c... | <think>
Okay, I need to write a Python function to convert a Galactic numeral string into its decimal equivalent. Hmm, this is similar to converting Roman numerals, right? Because the symbols and their values are the same as in the Roman system. So, I can probably base my approach on the Roman to decimal conversion met... | [
{
"from": "human",
"value": "In a distant galaxy, the inhabitants use a unique numeral system known as the \"Galactic Numeral System\". This system is quite similar to the Roman numeral system, but it's more flexible. You are tasked with converting a given number from this system to the standard decimal num... |
Tom has recently started working out. He keeps track of the distance he runs every day. His goal is to increase his running distance each week. Every week starts on Monday and ends on Sunday. Tom records his running distances in kilometers for each day of the week. At the end of the week, he wants to know how many days... | <think>
Okay, I need to solve this problem where Tom is tracking his running distances each day, and I have to count how many days he increased his distance compared to the previous day.
Let me think about the steps. So the input is an array of 7 integers representing distances from Monday to Sunday. For each day exc... | [
{
"from": "human",
"value": "Tom has recently started working out. He keeps track of the distance he runs every day. His goal is to increase his running distance each week. Every week starts on Monday and ends on Sunday. Tom records his running distances in kilometers for each day of the week. At the end of... |
A group of friends have decided to play a party game involving a circular competition. They stand in a circle and each friend is assigned a unique number from 1 to n (where n is the total number of players, 3 ≤ n ≤ 10^5). The game starts with the friend numbered 1 and moves in a clockwise direction.
The game follows t... | <think>
Okay, so I have this problem where a group of friends are playing a game in a circle, and each round they eliminate the next player. I need to figure out who the last remaining player is based on the number of players initially, which is n. Hmm, the examples given are for n=5 the answer is 3 and for n=7 it's 7.... | [
{
"from": "human",
"value": "A group of friends have decided to play a party game involving a circular competition. They stand in a circle and each friend is assigned a unique number from 1 to n (where n is the total number of players, 3 ≤ n ≤ 10^5). The game starts with the friend numbered 1 and moves in a... |
## Task
Implement a function to find the Accumulated Product of Differences (APD) for a list of integers.
The APD of a list is defined as the product of absolute differences between consecutive elements in the list. If the list has less than two elements, the APD is defined to be `1`.
Input range:
```python
1 <= le... | <think>
Okay, I need to implement the Accumulated Product of Differences function for a list of integers. Let's see what the task says.
So, the APD is the product of absolute differences between consecutive elements. If the list has less than two elements, it's 1.
Hmm, the example makes it clear. Like for [5,3,8,6]... | [
{
"from": "human",
"value": "## Task\n\nImplement a function to find the Accumulated Product of Differences (APD) for a list of integers.\n\nThe APD of a list is defined as the product of absolute differences between consecutive elements in the list. If the list has less than two elements, the APD is define... |
You have been tasked with managing the food resources in a futuristic colony on Mars. The colony has a number of food storage facilities located at different coordinates on a straight line. Each facility can store a limited amount of food, and there are restrictions on how much food can be transported between these fac... | <think>
Okay, I've got this problem to solve. Let's try to understand what it's asking. So, we're managing food resources on Mars, and there are several storage facilities in a line. Each has a certain storage capacity, and we can transport food between them, but each trip can carry a maximum of f units. We need to fin... | [
{
"from": "human",
"value": "You have been tasked with managing the food resources in a futuristic colony on Mars. The colony has a number of food storage facilities located at different coordinates on a straight line. Each facility can store a limited amount of food, and there are restrictions on how much ... |
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