data_source stringclasses 1
value | prompt listlengths 1 1 | ability stringclasses 1
value | extra_info dict | response stringlengths 65 72k | has_thinking bool 1
class | score float64 0 1 |
|---|---|---|---|---|---|---|
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: There are three cards with letters $\\texttt{a}$, $\\texttt{b}$, $\\texttt{c}$ placed in a row in some order. You ca... | Code | {
"split": "test",
"index": 0
} | To solve this problem, we need to determine if a given 3-character string (composed of 'a', 'b', and 'c') can be transformed into the string "abc" with **at most one swap** of any two characters.
### Key Observations:
- If the input string is already "abc", then no swap is needed ⇒ output "YES".
- If the string is **o... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: There are three cards with letters $\\texttt{a}$, $\\texttt{b}$, $\\texttt{c}$ placed in a row in some order. You ca... | Code | {
"split": "test",
"index": 0
} | To solve this problem, we need to determine if it's possible to transform a given string of three distinct characters (a, b, c) into "abc" with at most one swap.
### Key Observations:
- The string is always of length 3 and contains each of the characters 'a', 'b', and 'c' exactly once.
- If the string is already "abc"... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: There are three cards with letters $\\texttt{a}$, $\\texttt{b}$, $\\texttt{c}$ placed in a row in some order. You ca... | Code | {
"split": "test",
"index": 0
} | To solve this problem, we need to determine if a given string of three distinct characters (a, b, c) can be transformed into "abc" by swapping at most two characters (i.e., one swap operation).
### Key Observations:
- The string has exactly three characters: 'a', 'b', and 'c', each appearing exactly once.
- If the str... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: There are three cards with letters $\\texttt{a}$, $\\texttt{b}$, $\\texttt{c}$ placed in a row in some order. You ca... | Code | {
"split": "test",
"index": 0
} | To solve this problem, we need to determine if a given string of three distinct characters (a, b, c) can be transformed into "abc" by performing at most one swap of any two characters.
### Key Observations:
1. If the string is already "abc", the answer is "YES".
2. If the string can be transformed into "abc" by swappi... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: There are three cards with letters $\\texttt{a}$, $\\texttt{b}$, $\\texttt{c}$ placed in a row in some order. You ca... | Code | {
"split": "test",
"index": 0
} | ```python
# YOUR CODE HERE
t = int(input())
for _ in range(t):
s = input().strip()
if s == "abc":
print("YES")
else:
# Check if swapping any two characters gives "abc"
if (s[0] == 'a' and s[1] == 'b' and s[2] == 'c') or \
(s[0] == 'a' and s[1] == 'c' and s[2] == 'b') or \
... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: There are three cards with letters $\\texttt{a}$, $\\texttt{b}$, $\\texttt{c}$ placed in a row in some order. You ca... | Code | {
"split": "test",
"index": 0
} | ```python
# YOUR CODE HERE
t = int(input())
for _ in range(t):
s = input().strip()
if s == "abc":
print("YES")
else:
# Check if swapping any two characters can result in "abc"
if (s[0] == 'a' and s[1] == 'b' and s[2] == 'c'):
print("YES")
elif (s[0] == 'a' and s[1... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: Slavic is preparing a present for a friend's birthday. He has an array $a$ of $n$ digits and the present will be the... | Code | {
"split": "test",
"index": 1
} | To solve this problem, we need to determine the maximum product of an array of digits after incrementing exactly one digit by 1. The key is to evaluate the effect of incrementing each digit in the array and find the maximum resulting product.
### Approach:
1. For each test case:
- Read the number of digits `n` and... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: Slavic is preparing a present for a friend's birthday. He has an array $a$ of $n$ digits and the present will be the... | Code | {
"split": "test",
"index": 1
} | To solve this problem, we need to determine the maximum product of digits in an array after adding 1 to exactly one of the digits.
### Key Observations:
- The product of digits can be increased by replacing a digit `a` with `a + 1` if that improves the overall product.
- The best strategy is to iterate through each d... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: Slavic is preparing a present for a friend's birthday. He has an array $a$ of $n$ digits and the present will be the... | Code | {
"split": "test",
"index": 1
} | To solve this problem, we need to find the maximum product of an array of digits after adding 1 to exactly one of the digits. The approach involves:
1. Iterating through each digit in the array.
2. For each digit, creating a new array where that digit is incremented by 1.
3. Calculating the product of the new array.
4... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: Slavic is preparing a present for a friend's birthday. He has an array $a$ of $n$ digits and the present will be the... | Code | {
"split": "test",
"index": 1
} | To solve this problem, we need to determine the maximum product that can be achieved by adding 1 to exactly one digit in the array. The key is to try each digit, add 1 to it, and calculate the product of the resulting array. Then, we select the maximum product among all such possibilities.
### Steps:
1. Read the numbe... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: Slavic is preparing a present for a friend's birthday. He has an array $a$ of $n$ digits and the present will be the... | Code | {
"split": "test",
"index": 1
} | To solve this problem, we need to find the maximum product of an array of digits after adding 1 to exactly one of the digits. Here's how we can approach this:
### Steps:
1. For each test case:
- Read the array of digits.
- For each digit in the array:
- Create a copy of the array where that digit is increas... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: Slavic is preparing a present for a friend's birthday. He has an array $a$ of $n$ digits and the present will be the... | Code | {
"split": "test",
"index": 1
} | To solve this problem, we need to find the maximum product we can get by adding 1 to exactly one digit in the array. The key is to try all possible positions where we can add 1 to a digit and compute the resulting product. We then choose the maximum of those products.
Here’s the step-by-step approach:
1. For each tes... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a strip of paper $s$ that is $n$ cells long. Each cell is either black or white. In an operation you c... | Code | {
"split": "test",
"index": 2
} | To solve this problem, we need to determine the minimum number of operations required to turn all black cells ('B') into white cells ('W') on a strip of paper, where each operation allows us to turn any `k` consecutive cells into white.
### Key Insight:
We can model this problem as a greedy one. We want to cover all b... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a strip of paper $s$ that is $n$ cells long. Each cell is either black or white. In an operation you c... | Code | {
"split": "test",
"index": 2
} | To solve this problem efficiently, we need to determine the minimum number of operations required to turn all black cells to white. Each operation allows us to make any `k` consecutive cells white.
### Key Insight:
We can model this problem as a greedy interval covering problem. The idea is to find the earliest possib... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a strip of paper $s$ that is $n$ cells long. Each cell is either black or white. In an operation you c... | Code | {
"split": "test",
"index": 2
} | To solve this problem efficiently, we need to determine the **minimum number of operations** required to turn all black cells (`B`) into white cells (`W`), where each operation allows us to change `k` consecutive cells to white.
### Key Observations:
1. Each operation can cover `k` consecutive cells.
2. We want to **... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a strip of paper $s$ that is $n$ cells long. Each cell is either black or white. In an operation you c... | Code | {
"split": "test",
"index": 2
} | To solve this problem, we need to find the minimum number of operations required to turn all black cells (`B`) into white cells (`W`) on a strip of paper. In each operation, we can turn any `k` consecutive cells into white.
### Approach:
- The key idea is to **greedily cover all black cells** by selecting the **leftmo... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a strip of paper $s$ that is $n$ cells long. Each cell is either black or white. In an operation you c... | Code | {
"split": "test",
"index": 2
} | To solve this problem, we need to determine the minimum number of operations required to turn all black cells ('B') into white cells ('W'), where each operation allows us to select any `k` consecutive cells and turn them all white.
### Key Observations:
1. **Operation Scope**: Each operation can change up to `k` cell... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a strip of paper $s$ that is $n$ cells long. Each cell is either black or white. In an operation you c... | Code | {
"split": "test",
"index": 2
} | To solve this problem, we need to find the minimum number of operations required to turn all black cells ('B') in a string into white cells ('W'). In each operation, we can select any `k` consecutive cells and make them all white.
### Strategy:
The key idea is to **greedily cover black cells using the minimal number o... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a string $s$ of length $n$, consisting of lowercase Latin letters, and an integer $k$.\n\nYou need to ... | Code | {
"split": "test",
"index": 3
} | To solve this problem, we need to determine whether it's possible to remove exactly `k` characters from a string `s` such that the remaining characters can be rearranged to form a palindrome.
### Key Observations:
1. **Palindrome Conditions with Reordering**:
- A string can be rearranged into a palindrome if at mo... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a string $s$ of length $n$, consisting of lowercase Latin letters, and an integer $k$.\n\nYou need to ... | Code | {
"split": "test",
"index": 3
} | To solve this problem, we need to determine if it's possible to remove exactly `k` characters from a string `s` such that the remaining characters can be rearranged to form a palindrome.
### Key Observations:
1. **Palindrome Property**:
- A string can be rearranged into a palindrome if the count of each character ... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a string $s$ of length $n$, consisting of lowercase Latin letters, and an integer $k$.\n\nYou need to ... | Code | {
"split": "test",
"index": 3
} | To solve this problem, we need to determine if it's possible to remove exactly `k` characters from a string `s` such that the remaining characters can be rearranged to form a palindrome.
### Key Observations:
1. A palindrome can be formed if:
- The count of each character is even, or
- Exactly one character has ... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a string $s$ of length $n$, consisting of lowercase Latin letters, and an integer $k$.\n\nYou need to ... | Code | {
"split": "test",
"index": 3
} | To solve this problem, we need to determine whether it's possible to remove exactly `k` characters from a string `s` such that the remaining characters can be rearranged to form a palindrome.
### Key Observations:
1. **Palindrome Construction**: A string can be rearranged into a palindrome if at most one character ha... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a string $s$ of length $n$, consisting of lowercase Latin letters, and an integer $k$.\n\nYou need to ... | Code | {
"split": "test",
"index": 3
} | To determine whether it is possible to remove exactly `k` characters from a string `s` such that the remaining characters can be rearranged into a palindrome, we need to consider the properties of palindromes and character frequencies.
### Key Observations:
1. **Palindrome Properties**:
- A palindrome can have at ... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a string $s$ of length $n$, consisting of lowercase Latin letters, and an integer $k$.\n\nYou need to ... | Code | {
"split": "test",
"index": 3
} | To solve this problem, we need to determine whether it's possible to remove exactly `k` characters from a string such that the remaining characters can be rearranged to form a palindrome.
### Key Observations:
1. **Palindrome Properties**:
- A string can be rearranged to form a palindrome if at most one character ... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given an array of integers $a_1, a_2, \\ldots, a_n$ and a number $k$ ($2 \\leq k \\leq 5$). In one operation... | Code | {
"split": "test",
"index": 4
} | To solve this problem, we need to determine the **minimum number of operations** required to make the **product of all elements in the array divisible by a given number `k`**.
Each operation allows us to **increment a single element of the array by 1**.
---
### Key Observations:
1. **We are allowed to increment el... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given an array of integers $a_1, a_2, \\ldots, a_n$ and a number $k$ ($2 \\leq k \\leq 5$). In one operation... | Code | {
"split": "test",
"index": 4
} | To solve the problem, we need to determine the minimum number of operations required to make the product of an array divisible by a given number `k`. Each operation consists of incrementing any element of the array by 1.
### Key Observations:
- The product of the array must be divisible by `k`.
- Since the product ca... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given an array of integers $a_1, a_2, \\ldots, a_n$ and a number $k$ ($2 \\leq k \\leq 5$). In one operation... | Code | {
"split": "test",
"index": 4
} | To solve this problem, we need to determine the **minimum number of operations** required to make the product of all numbers in an array divisible by a number `k` (where `k` is between 2 and 5). In each operation, we can increment any element of the array by 1.
---
### **Key Observations**
1. **Factorization of `k`*... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given an array of integers $a_1, a_2, \\ldots, a_n$ and a number $k$ ($2 \\leq k \\leq 5$). In one operation... | Code | {
"split": "test",
"index": 4
} | To solve this problem, we need to find the minimum number of operations (incrementing any element of the array) to make the product of the array divisible by `k`.
### Key Observations:
- Since `k` is between 2 and 5, we can consider each possible `k` separately.
- The product of the array is divisible by `k` if the pr... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given an array of integers $a_1, a_2, \\ldots, a_n$ and a number $k$ ($2 \\leq k \\leq 5$). In one operation... | Code | {
"split": "test",
"index": 4
} | To solve this problem, we need to determine the **minimum number of operations** required to make the **product of all elements in an array** divisible by a given integer `k`. Each operation allows us to increment one element by 1.
### Key Observations:
1. **Product Divisibility**: The product will be divisible by `k... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given an array of integers $a_1, a_2, \\ldots, a_n$ and a number $k$ ($2 \\leq k \\leq 5$). In one operation... | Code | {
"split": "test",
"index": 4
} | To solve this problem, we need to determine the **minimum number of increments** required to make the **product of all elements in the array** divisible by a given integer `k`.
### Key Observations:
1. Since `k` is between 2 and 5, it's small, which means we can consider all possible prime factorizations of `k`.
2. Th... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: Vanya and Vova are playing a game. Players are given an integer $n$. On their turn, the player can add $1$ to the cu... | Code | {
"split": "test",
"index": 5
} | To solve this problem, we need to simulate the game between Vanya and Vova based on the given rules. Here's the breakdown of the logic:
### Game Rules Recap:
- Players take turns, starting with Vanya.
- On each turn, the player can either **add 1** or **subtract 1** from the current integer.
- After **Vanya's move**, ... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: Vanya and Vova are playing a game. Players are given an integer $n$. On their turn, the player can add $1$ to the cu... | Code | {
"split": "test",
"index": 5
} | To solve this problem, we need to simulate the game between Vanya and Vova, where both play optimally. Here's the key insight:
- Vanya wants to make the number divisible by 3 **after his move** (i.e., on his turn).
- Vova wants to prevent Vanya from doing that.
- The game lasts up to 10 turns (i.e., 10 moves in total)... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: Vanya and Vova are playing a game. Players are given an integer $n$. On their turn, the player can add $1$ to the cu... | Code | {
"split": "test",
"index": 5
} | To solve this problem, we need to simulate the game between Vanya and Vova based on the given rules. Here's the breakdown of the problem:
### Game Rules Recap:
- The game starts with an integer `n`.
- Vanya starts first and on each turn, a player can either **add 1** or **subtract 1** from the current number.
- After ... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: Vanya and Vova are playing a game. Players are given an integer $n$. On their turn, the player can add $1$ to the cu... | Code | {
"split": "test",
"index": 5
} | To solve this problem, we need to simulate the game between Vanya and Vova, where they take turns modifying a number and trying to force a win based on the rules:
- Vanya starts.
- On his turn, he can either add 1 or subtract 1 from the current integer.
- If after Vanya's move, the number is divisible by 3, he wins.
-... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: Vanya and Vova are playing a game. Players are given an integer $n$. On their turn, the player can add $1$ to the cu... | Code | {
"split": "test",
"index": 5
} | To solve this problem, we need to simulate the game between Vanya and Vova based on the rules provided.
### Key Observations:
- **Vanya's Winning Condition**: Vanya wins if, after his move, the number is divisible by 3.
- **Vova's Goal**: To prevent Vanya from ever making the number divisible by 3 for 10 moves.
- **T... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: Vanya and Vova are playing a game. Players are given an integer $n$. On their turn, the player can add $1$ to the cu... | Code | {
"split": "test",
"index": 5
} | To solve this problem, we need to simulate the game between Vanya and Vova, where both play optimally. The goal is to determine who will win given the initial integer `n`.
### Game Rules Recap:
- Vanya starts first.
- On each turn, a player can either add 1 or subtract 1 from the current number.
- If after Vanya's mov... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: Alex is participating in the filming of another video of BrMeast, and BrMeast asked Alex to prepare 250 thousand ton... | Code | {
"split": "test",
"index": 6
} | To solve this problem, we need to determine the **maximum absolute difference** between the total weights of any two trucks for each possible value of `k` (which must divide `n` evenly), for each test case.
### Key Observations:
1. **Valid k values** are those that divide `n` evenly (i.e., `n % k == 0`).
2. For each ... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: Alex is participating in the filming of another video of BrMeast, and BrMeast asked Alex to prepare 250 thousand ton... | Code | {
"split": "test",
"index": 6
} | To solve this problem efficiently, we need to compute for each test case the maximum absolute difference between the total weights of any two trucks, for all possible values of `k` (number of boxes per truck), such that `n % k == 0`.
### Key Observations:
1. For each valid `k`, we can divide the array `a` into `n/k` ... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: Alex is participating in the filming of another video of BrMeast, and BrMeast asked Alex to prepare 250 thousand ton... | Code | {
"split": "test",
"index": 6
} | To solve this problem efficiently, we need to understand the loading rules. For each possible `k` (where `k` divides `n`), we divide the `n` boxes into `n/k` trucks, each carrying `k` boxes. Each truck’s total weight is the sum of the `k` consecutive boxes it carries.
The goal is to find the **maximum absolute differe... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: Alex is participating in the filming of another video of BrMeast, and BrMeast asked Alex to prepare 250 thousand ton... | Code | {
"split": "test",
"index": 6
} | To solve this problem, we need to determine for each test case the maximum absolute difference between the total weights of any two trucks, for each possible valid `k` (number of boxes per truck), such that `n` is divisible by `k`.
### Key Observations:
- For each valid `k` (i.e., `n % k == 0`), we divide the array in... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: Alex is participating in the filming of another video of BrMeast, and BrMeast asked Alex to prepare 250 thousand ton... | Code | {
"split": "test",
"index": 6
} | To solve this problem, we need to find for each test case the maximum absolute difference between the total weight of any two trucks, given that each truck must carry exactly `k` boxes, and `k` must be a divisor of `n`.
### Key Observations:
1. **Divisors of `n`**: For each `k` that divides `n`, we can load the boxes... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: Alex is participating in the filming of another video of BrMeast, and BrMeast asked Alex to prepare 250 thousand ton... | Code | {
"split": "test",
"index": 6
} | To solve this problem, we need to find, for each test case, the maximum absolute difference between the total weights of any two trucks when the boxes are divided into groups of size `k`, for all valid `k` (i.e., `n % k == 0`).
### Key Observations:
1. For each `k` that divides `n`, the number of trucks is `n/k`. Each... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: A subarray is a continuous part of array.\n\nYarik recently found an array $a$ of $n$ elements and became very inter... | Code | {
"split": "test",
"index": 7
} | To solve this problem efficiently, we need to find the **maximum sum of a subarray** where adjacent elements have **alternating parities** (i.e., one is even, the other is odd). The key is to recognize that such subarrays must alternate between even and odd numbers.
### Approach:
- For each element in the array, we ch... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: A subarray is a continuous part of array.\n\nYarik recently found an array $a$ of $n$ elements and became very inter... | Code | {
"split": "test",
"index": 7
} | To solve this problem, we need to find the maximum sum of a **non-empty subarray** where **adjacent elements have alternating parities** (i.e., one is even and the other is odd).
This is a variation of the **Kadane's algorithm**, which is used to find the maximum subarray sum. However, we have an additional constrain... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: A subarray is a continuous part of array.\n\nYarik recently found an array $a$ of $n$ elements and became very inter... | Code | {
"split": "test",
"index": 7
} | To solve this problem, we need to find the maximum sum of a **non-empty subarray** where **adjacent elements alternate in parity** (i.e., even and odd). This is a variation of the classic **maximum subarray sum** problem, but with a constraint on the parity of adjacent elements.
### Key Observations:
1. A subarray tha... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: A subarray is a continuous part of array.\n\nYarik recently found an array $a$ of $n$ elements and became very inter... | Code | {
"split": "test",
"index": 7
} | To solve the problem, we need to find the maximum sum of a subarray where adjacent elements have alternating parities (i.e., one is even and the other is odd). This is similar to the classic maximum subarray problem (Kadane's algorithm), but with a condition on the parity of the elements.
### Key Insight:
- We can tra... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: A subarray is a continuous part of array.\n\nYarik recently found an array $a$ of $n$ elements and became very inter... | Code | {
"split": "test",
"index": 7
} | To solve this problem, we need to find the maximum sum of a **non-empty subarray** where adjacent elements have **alternating parities** (i.e., one is even and the other is odd).
### Key Observations:
- A subarray can be built by checking if the next element has a different parity than the previous one.
- We can use ... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: A subarray is a continuous part of array.\n\nYarik recently found an array $a$ of $n$ elements and became very inter... | Code | {
"split": "test",
"index": 7
} | To solve this problem, we need to find the maximum sum of a subarray where adjacent elements have alternating parities (i.e., one is even and the other is odd). Here's a breakdown of the approach:
### Key Observations:
1. A subarray is valid only if the parity (even/odd) of adjacent elements alternates.
2. We can use ... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: Yarik is a big fan of many kinds of music. But Yarik loves not only listening to music but also writing it. He likes... | Code | {
"split": "test",
"index": 8
} | To solve this problem, we need to count the number of valid pairs `(i, j)` where `i < j` and the combination of notes `b_i^b_j = b_j^b_i`. Here's the key insight:
Let `b_i = 2^a_i` and `b_j = 2^a_j`. Then:
- `b_i^b_j = (2^a_i)^(2^a_j) = 2^(a_i * 2^a_j)`
- `b_j^b_i = (2^a_j)^(2^a_i) = 2^(a_j * 2^a_i)`
So, for these t... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: Yarik is a big fan of many kinds of music. But Yarik loves not only listening to music but also writing it. He likes... | Code | {
"split": "test",
"index": 8
} | To solve this problem, we need to find the number of pairs `(i, j)` such that `b_i^b_j == b_j^b_i`, where `b_i = 2^a_i` and `b_j = 2^a_j`.
### Understanding the Condition
Let’s analyze the condition:
- `b_i^b_j = (2^a_i)^(2^a_j) = 2^(a_i * 2^a_j)`
- `b_j^b_i = (2^a_j)^(2^a_i) = 2^(a_j * 2^a_i)`
So the condition beco... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: Yarik is a big fan of many kinds of music. But Yarik loves not only listening to music but also writing it. He likes... | Code | {
"split": "test",
"index": 8
} | To solve this problem, we need to count the number of pairs `(i, j)` such that `i < j` and the combination `(b_i, b_j)` is equal to `(b_j, b_i)`, where each `b_i = 2^a_i` and `a_i` is given as input.
### Key Insight:
We need to find when:
```python
b_i^b_j == b_j^b_i
```
Given that `b_i = 2^a_i` and `b_j = 2^a_j`, w... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: Yarik is a big fan of many kinds of music. But Yarik loves not only listening to music but also writing it. He likes... | Code | {
"split": "test",
"index": 8
} | To solve this problem, we need to count the number of valid pairs `(i, j)` such that `b_i^b_j = b_j^b_i`, where each `b_i = 2^a_i`.
### Key Insight:
Given:
- `b_i = 2^a_i`
- `b_j = 2^a_j`
We want:
```
b_i^b_j = b_j^b_i
=> (2^a_i)^(2^a_j) = (2^a_j)^(2^a_i)
=> 2^{a_i * 2^a_j} = 2^{a_j * 2^a_i}
```
Since the base is t... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: Yarik is a big fan of many kinds of music. But Yarik loves not only listening to music but also writing it. He likes... | Code | {
"split": "test",
"index": 8
} | To solve this problem, we need to understand the condition under which two notes `b_i` and `b_j` (where `b_i = 2^a_i` and `b_j = 2^a_j`) satisfy the equation:
$$
b_i^{b_j} = b_j^{b_i}
$$
Substituting `b_i = 2^a_i` and `b_j = 2^a_j` into the equation:
$$
(2^{a_i})^{2^{a_j}} = (2^{a_j})^{2^{a_i}}
$$
Using exponent ru... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: Yarik is a big fan of many kinds of music. But Yarik loves not only listening to music but also writing it. He likes... | Code | {
"split": "test",
"index": 8
} | To solve this problem, we need to analyze when two notes $ b_i = 2^{a_i} $ and $ b_j = 2^{a_j} $ satisfy $ b_i^{b_j} = b_j^{b_i} $. Let's explore the mathematical condition:
Given:
$$
b_i = 2^{a_i}, \quad b_j = 2^{a_j}
$$
We want:
$$
b_i^{b_j} = b_j^{b_i}
$$
Substituting:
$$
(2^{a_i})^{2^{a_j}} = (2^{a_j})^{2^{a_i}}... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a 0-indexed array of strings details. Each element of details provides information about a given passe... | Code | {
"split": "test",
"index": 9
} | Here's the complete and correct Python solution that satisfies the problem's requirements. The code extracts the age from each string in the `details` list and counts how many of them are strictly greater than 60.
```python
from typing import List
class Solution:
def countSeniors(self, details: List[str]) -> int:... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a 0-indexed array of strings details. Each element of details provides information about a given passe... | Code | {
"split": "test",
"index": 9
} | Here's the complete and correct Python program that solves the problem. The program extracts the age of each passenger from the `details` list and counts how many are strictly older than 60 years.
```python
from typing import List
class Solution:
def countSeniors(self, details: List[str]) -> int:
count = ... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a 0-indexed array of strings details. Each element of details provides information about a given passe... | Code | {
"split": "test",
"index": 9
} | Here's the complete and correct Python program that solves the problem as described. It reads the `details` list, extracts the age from each string, and counts how many passengers are strictly older than 60 years.
```python
from typing import List
class Solution:
def countSeniors(self, details: List[str]) -> int:... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a 0-indexed array of strings details. Each element of details provides information about a given passe... | Code | {
"split": "test",
"index": 9
} | Here's the complete and correct Python program that solves the problem as described. The program extracts the age from each string in the `details` list and counts how many passengers are strictly older than 60.
```python
from typing import List
class Solution:
def countSeniors(self, details: List[str]) -> int:
... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a 0-indexed array of strings details. Each element of details provides information about a given passe... | Code | {
"split": "test",
"index": 9
} | Here's the complete solution enclosed within the required delimiters. The solution extracts the age from each string in the `details` list, converts it to an integer, and counts how many of them are strictly greater than 60.
```python
class Solution:
def countSeniors(self, details: List[str]) -> int:
count... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a 0-indexed array of strings details. Each element of details provides information about a given passe... | Code | {
"split": "test",
"index": 9
} | Here's the complete solution that adheres to the problem specification and constraints. The idea is to extract the age part from each string in the `details` list, convert it to an integer, and count how many of them are strictly greater than 60.
```python
class Solution:
def countSeniors(self, details: List[str])... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a 0-indexed 2D integer array nums. Initially, your score is 0. Perform the following operations until ... | Code | {
"split": "test",
"index": 10
} | To solve this problem, we need to follow the steps described:
1. **In each iteration**, we remove the largest number from each row of the matrix.
2. After removing these numbers, we find the **maximum** among them and **add it to the score**.
3. Repeat this process until the matrix is empty.
### Key Observations:
- S... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a 0-indexed 2D integer array nums. Initially, your score is 0. Perform the following operations until ... | Code | {
"split": "test",
"index": 10
} | To solve this problem, we need to simulate the process described in the problem statement. Here's the breakdown of the approach:
### Steps to Solve:
1. **Sort Each Row in Descending Order**:
- We will sort each row of the matrix in descending order. This allows us to easily access the largest number in each row du... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a 0-indexed 2D integer array nums. Initially, your score is 0. Perform the following operations until ... | Code | {
"split": "test",
"index": 10
} | To solve this problem, we need to simulate the process described in the question step-by-step:
### Problem Breakdown:
1. **Step 1:** From each row in the matrix, select the largest number and remove it. In case of a tie, any number can be chosen.
2. **Step 2:** After selecting the largest numbers from each row, identi... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a 0-indexed 2D integer array nums. Initially, your score is 0. Perform the following operations until ... | Code | {
"split": "test",
"index": 10
} | To solve this problem, we need to simulate the process described in the question step by step. Here's the breakdown of the approach:
### Steps:
1. **Sort Each Row in Descending Order**: This allows us to easily pick the largest number from each row in each operation.
2. **Iterate Over Columns**: Since in each operatio... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a 0-indexed 2D integer array nums. Initially, your score is 0. Perform the following operations until ... | Code | {
"split": "test",
"index": 10
} | To solve this problem, we need to simulate the process described:
1. In each operation, for every row, we remove the largest element.
2. After removing the largest elements from all rows, we take the maximum of those removed elements and add it to the score.
3. Repeat this process until the matrix is empty.
### Key O... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a 0-indexed 2D integer array nums. Initially, your score is 0. Perform the following operations until ... | Code | {
"split": "test",
"index": 10
} | To solve this problem, we need to simulate the process of repeatedly selecting the largest number from each row and then adding the maximum of those selected numbers to the score. This process continues until all rows are empty.
### Key Observations:
- Each operation involves taking the maximum from each row.
- After ... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a 0-indexed integer array nums of length n and an integer k. In an operation, you can choose an elemen... | Code | {
"split": "test",
"index": 11
} | To solve this problem, we need to maximize the bitwise OR of the array after applying at most `k` operations where each operation multiplies an element by 2. Each multiplication is equivalent to a left shift by 1 bit.
### Key Observations:
- Bitwise OR is a **bitwise operation** that accumulates set bits. So the more ... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a 0-indexed integer array nums of length n and an integer k. In an operation, you can choose an elemen... | Code | {
"split": "test",
"index": 11
} | To solve this problem, we need to maximize the result of the bitwise OR operation on all elements in the array after applying up to `k` operations, where each operation allows us to multiply an element by 2 (which is equivalent to a left shift by 1 in binary).
### Key Insight:
- Since we can apply the operation at mos... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a 0-indexed integer array nums of length n and an integer k. In an operation, you can choose an elemen... | Code | {
"split": "test",
"index": 11
} | To solve this problem efficiently, we need to understand how applying the operation (multiplying by 2) affects the bitwise OR of the array.
### Key Observations:
- Multiplying a number by 2 is equivalent to shifting it left by 1 bit.
- When we apply the operation `k` times to a number, it's equivalent to left-shiftin... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a 0-indexed integer array nums of length n and an integer k. In an operation, you can choose an elemen... | Code | {
"split": "test",
"index": 11
} | To solve this problem, we need to maximize the bitwise OR of all elements in the array after applying up to `k` operations, where each operation multiplies an element by 2 (which is equivalent to a left shift by 1 in binary).
### Key Insights:
- The bitwise OR of a set of numbers has the property that if any number h... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a 0-indexed integer array nums of length n and an integer k. In an operation, you can choose an elemen... | Code | {
"split": "test",
"index": 11
} | To solve this problem, we need to maximize the bitwise OR of all elements in the array after applying up to `k` operations where each operation multiplies an element by 2 (which is equivalent to a bitwise left shift by 1).
### Key Observations:
- **Bitwise OR is a cumulative operation**, and it is **monotonic** — onc... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a 0-indexed integer array nums of length n and an integer k. In an operation, you can choose an elemen... | Code | {
"split": "test",
"index": 11
} | To solve the problem, we need to maximize the bitwise OR of all elements in the array after applying at most `k` operations where each operation multiplies an element by 2.
### Key Observations:
1. Each operation on a number `x` is equivalent to shifting its bits to the left by one position (i.e., `x << 1`).
2. We c... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a 0-indexed integer array nums representing the score of students in an exam. The teacher would like t... | Code | {
"split": "test",
"index": 12
} | To solve this problem, we need to find the **maximum product of any non-empty subset** of the array `nums`. Since the array can contain negative numbers and zeros, we need to be careful to consider all possible subsets and their products.
### Key Observations:
1. **All elements are between -9 and 9.**
2. **Length is ... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a 0-indexed integer array nums representing the score of students in an exam. The teacher would like t... | Code | {
"split": "test",
"index": 12
} | To solve the problem of finding the maximum strength of a group of students, we need to consider the following:
- The strength of a group is the product of the selected elements.
- We can choose any non-empty subset of the array.
- The array contains both positive and negative numbers, and zeroes.
- Since the array le... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a 0-indexed integer array nums representing the score of students in an exam. The teacher would like t... | Code | {
"split": "test",
"index": 12
} | To solve this problem, we need to find the **maximum product** of a **non-empty subsequence** (group) from the given array `nums`. Since the array can have negative numbers and zeros, we must carefully consider all possible combinations of elements.
### Key Observations:
1. Since the array length is at most 13, the nu... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a 0-indexed integer array nums representing the score of students in an exam. The teacher would like t... | Code | {
"split": "test",
"index": 12
} | To solve this problem, we need to find the **maximum product** of any **non-empty subset** of the given array `nums`. Given the constraints (array length <= 13), a **brute-force approach** is feasible since the total number of subsets is 2^13 = 8192, which is manageable.
### Strategy:
1. **Generate all non-empty subse... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a 0-indexed integer array nums representing the score of students in an exam. The teacher would like t... | Code | {
"split": "test",
"index": 12
} | To solve this problem, we need to find the maximum product of any non-empty subsequence of the array `nums`. Since the array size is small (up to 13 elements), we can use a brute-force approach by generating all possible non-empty subsequences and computing their products, then returning the maximum.
### Key Observati... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a 0-indexed integer array nums representing the score of students in an exam. The teacher would like t... | Code | {
"split": "test",
"index": 12
} | To solve this problem, we need to find the maximum product of any non-empty subsequence (group) of the given array `nums`. Since the array size is small (up to 13 elements), we can consider all possible non-empty subsets of the array and calculate their product, then return the maximum.
### Key Observations:
- The pro... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a 0-indexed string s and a dictionary of words dictionary. You have to break s into one or more non-ov... | Code | {
"split": "test",
"index": 13
} | To solve this problem, we need to break the string `s` into substrings that are present in the `dictionary`, and find the minimum number of extra characters that are not part of any such substring.
We can use **Dynamic Programming (DP)** to solve this. The idea is to keep track of the minimum number of extra character... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a 0-indexed string s and a dictionary of words dictionary. You have to break s into one or more non-ov... | Code | {
"split": "test",
"index": 13
} | To solve the problem of finding the **minimum number of extra characters** left over when breaking a string `s` into non-overlapping substrings that are present in a `dictionary`, we can use **dynamic programming**.
---
### 🧠 **Key Idea:**
Let `dp[i]` represent the **minimum number of extra characters** in the subs... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a 0-indexed string s and a dictionary of words dictionary. You have to break s into one or more non-ov... | Code | {
"split": "test",
"index": 13
} | To solve this problem, we want to minimize the number of extra characters left after breaking the string `s` into substrings that are present in the `dictionary`. The key here is to use **dynamic programming**.
### Approach:
Let's define `dp[i]` as the **minimum number of extra characters** left after considering the ... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a 0-indexed string s and a dictionary of words dictionary. You have to break s into one or more non-ov... | Code | {
"split": "test",
"index": 13
} | To solve the problem of finding the **minimum number of extra characters** left over after breaking a string `s` into substrings from a dictionary, we can use **dynamic programming**.
### Key Idea:
Let `dp[i]` be the **minimum number of extra characters** in the substring `s[0:i]`. So, the goal is to compute `dp[n]` w... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a 0-indexed string s and a dictionary of words dictionary. You have to break s into one or more non-ov... | Code | {
"split": "test",
"index": 13
} | To solve this problem, we need to find the **minimum number of extra characters** that remain after breaking the string `s` into substrings that are present in the given dictionary, without overlapping.
### Key Idea:
We can use **Dynamic Programming (DP)** to solve this efficiently. The idea is to define a DP array `d... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a 0-indexed string s and a dictionary of words dictionary. You have to break s into one or more non-ov... | Code | {
"split": "test",
"index": 13
} | Here's a Python solution that uses **dynamic programming** to solve the problem optimally. The idea is to define a DP array where `dp[i]` represents the **minimum number of extra characters** left when considering the first `i` characters of the string `s`.
We'll build the DP array from left to right, and for each pos... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given an integer array prices representing the prices of various chocolates in a store. You are also given a... | Code | {
"split": "test",
"index": 14
} | Here's the complete solution using the provided starter code. The idea is to find the two cheapest chocolates such that their total cost is less than or equal to the given money. If such a pair exists, return the leftover money; otherwise, return the original amount of money.
```python
from typing import List
class S... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given an integer array prices representing the prices of various chocolates in a store. You are also given a... | Code | {
"split": "test",
"index": 14
} | To solve this problem, we need to find two distinct chocolates (they can be the same price, but they must be different elements in the list) such that their combined price is less than or equal to the given amount of money. Our goal is to minimize the total cost of the two chocolates so that the leftover money is maxim... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given an integer array prices representing the prices of various chocolates in a store. You are also given a... | Code | {
"split": "test",
"index": 14
} | Here's the correct Python implementation of the `buyChoco` function, enclosed within the required delimiters. The function finds the two least expensive chocolates such that their total cost is less than or equal to the given money, and returns the leftover money. If no such pair exists, it returns the original amount ... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given an integer array prices representing the prices of various chocolates in a store. You are also given a... | Code | {
"split": "test",
"index": 14
} | Here's the correct Python solution that adheres to the problem specification and constraints. The approach is to find the two smallest prices in the list and check if their sum is less than or equal to the money. If so, return the leftover money; otherwise, return the original money.
```python
from typing import List
... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given an integer array prices representing the prices of various chocolates in a store. You are also given a... | Code | {
"split": "test",
"index": 14
} | Here's the complete Python solution that adheres to the problem specification. The approach involves finding the two smallest prices in the list, summing them, and checking if the total is less than or equal to the given money. If it is, we return the leftover money; otherwise, we return the original money.
```python
... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given an integer array prices representing the prices of various chocolates in a store. You are also given a... | Code | {
"split": "test",
"index": 14
} | Here's the correct Python program that solves the given problem using the provided starter code. The solution involves finding the two cheapest chocolates such that their combined price does not exceed the given money. If such a pair exists, return the leftover money; otherwise, return the original money.
```python
fr... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given two numeric strings num1 and num2 and two integers max_sum and min_sum. We denote an integer x to be g... | Code | {
"split": "test",
"index": 15
} | To solve this problem, we need to count how many integers between `num1` and `num2` (inclusive) have digit sums within a certain range. Since `num1` and `num2` can be very large (up to 10^22), we cannot iterate through all integers in the range directly.
Instead, we can use a **digit dynamic programming (digit DP)** a... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given two numeric strings num1 and num2 and two integers max_sum and min_sum. We denote an integer x to be g... | Code | {
"split": "test",
"index": 15
} | To solve this problem, we need to count the number of integers between `num1` and `num2` (inclusive) such that the sum of their digits lies within the range `[min_sum, max_sum]`. Given the constraints, we can't iterate through all numbers directly because the numbers can be up to $10^{22}$, which is computationally inf... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given two numeric strings num1 and num2 and two integers max_sum and min_sum. We denote an integer x to be g... | Code | {
"split": "test",
"index": 15
} | To solve this problem efficiently, especially considering that `num1` and `num2` can be as large as $10^{22}$, we need to avoid iterating through each number in the range and checking the digit sum. This would be infeasible due to the size of the range.
### Key Insight:
We can use **digit dynamic programming (DP)** to... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given two numeric strings num1 and num2 and two integers max_sum and min_sum. We denote an integer x to be g... | Code | {
"split": "test",
"index": 15
} | To solve this problem efficiently, we need to count the number of integers between `num1` and `num2` (inclusive) whose digit sum lies within the range `[min_sum, max_sum]`. Since `num1` and `num2` can be as large as `10^22`, iterating through all numbers directly is not feasible due to time constraints.
### Key Idea:
... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given two numeric strings num1 and num2 and two integers max_sum and min_sum. We denote an integer x to be g... | Code | {
"split": "test",
"index": 15
} | To solve this problem, we need to count the number of integers `x` such that:
- `num1 <= x <= num2`
- The digit sum of `x` lies between `min_sum` and `max_sum` (inclusive)
### Observations:
- The numbers `num1` and `num2` can be as large as `10^22`, which is way beyond the range of standard integer types. So we canno... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given two numeric strings num1 and num2 and two integers max_sum and min_sum. We denote an integer x to be g... | Code | {
"split": "test",
"index": 15
} | To solve this problem efficiently, we need to count the number of integers between two large numeric strings `num1` and `num2` such that their digit sum lies between `min_sum` and `max_sum`, inclusive.
### Key Observations:
- Since `num1` and `num2` can be very large (up to 10^22), we cannot iterate through all intege... | false | 1 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a 0-indexed array nums of length n.\nThe distinct difference array of nums is an array diff of length ... | Code | {
"split": "test",
"index": 16
} | To solve the problem, we need to compute the "distinct difference array" for a given array `nums`. For each index `i`, the value of the result array at index `i` is defined as:
```
diff[i] = (number of distinct elements in prefix nums[0...i]) - (number of distinct elements in suffix nums[i+1...n-1])
```
### Approach:... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a 0-indexed array nums of length n.\nThe distinct difference array of nums is an array diff of length ... | Code | {
"split": "test",
"index": 16
} | Here's the correct and complete Python solution for the given problem. The idea is to compute the number of distinct elements in the prefix and suffix for each index and compute the difference accordingly.
We'll use two sets: one to keep track of elements in the prefix and another to keep track of elements in the suff... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a 0-indexed array nums of length n.\nThe distinct difference array of nums is an array diff of length ... | Code | {
"split": "test",
"index": 16
} | To solve this problem, we need to compute the **distinct difference array** for a given array `nums`.
The idea is as follows:
- For each index `i` in the array:
- Count the number of **distinct elements** in the **prefix** `nums[0...i]`
- Count the number of **distinct elements** in the **suffix** `nums[i+1...n-1... | false | 0 |
livecodebench/code_generation_lite | [
{
"role": "user",
"content": "You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests.\n\nQuestion: You are given a 0-indexed array nums of length n.\nThe distinct difference array of nums is an array diff of length ... | Code | {
"split": "test",
"index": 16
} | Here's the correct and complete Python solution for the given problem. The idea is to compute the number of distinct elements in the prefix up to index `i` and the number of distinct elements in the suffix starting from index `i + 1` to the end of the array. The difference between these two values gives the correspondi... | false | 0 |
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