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numina-37439
reasoning-numina
reasoning
math
[ { "role": "user", "content": "Let $x_{1}, x_{2}, \\ldots, x_{n}$ be a sequence where each term is 0, 1, or -2. If\n\n$$\n\\left\\{\\begin{array}{l}\nx_{1}+x_{2}+\\cdots+x_{n}=-5 \\\\\nx_{1}^{2}+x_{2}^{2}+\\cdots+x_{n}^{2}=19\n\\end{array}\\right.\n$$\n\ndetermine $x_{1}^{5}+x_{2}^{5}+\\cdots+x_{n}^{5}$." ...
{ "license": "Apache-2.0", "ground_truth": "-125", "verified": true, "method": "kuiper-inversion" }
gsm8k-242
reasoning-gsm8k
reasoning
math
[ { "role": "user", "content": "Ann is baking cookies. She bakes three dozen oatmeal raisin cookies, two dozen sugar cookies, and four dozen chocolate chip cookies. Ann gives away two dozen oatmeal raisin cookies, 1.5 dozen sugar cookies, and 2.5 dozen chocolate chip cookies. How many total cookies does she k...
{ "license": "MIT", "ground_truth": "36", "verified": true, "method": "kuiper-inversion" }
numina-30215-fmt-finline
reasoning-numina-fmt
reasoning
math
[ { "role": "user", "content": "[ Counting in Two Ways $]$ Vasya thought of three different non-zero digits. Petya wrote down all possible two-digit numbers, in the decimal representation of which only these digits were used. The sum of the written numbers is 231. Find the digits thought of by Vasya.}\n\nEnd ...
{ "license": "Apache-2.0", "ground_truth": "1,2,4", "verified": true, "method": "kuiper-inversion", "format_slice": "finline" }
dolly-1901
dolly
instruction
open_qa
[ { "role": "user", "content": "How do solar panels work?" }, { "role": "assistant", "content": "Sunlight contains photon particles which hit the solar panels and cause electrons off silicon chips to get directed to the wiring to batteries or appliances, providing electricity" } ]
{ "license": "CC-BY-SA-3.0" }
numina-18309
reasoning-numina
reasoning
math
[ { "role": "user", "content": "210. Find the variance and standard deviation of the discrete random variable $X$, given by the distribution law:\n\n$$\n\\begin{array}{ccccc}\nX & -5 & 2 & 3 & 4 \\\\\np & 0.4 & 0.3 & 0.1 & 0.2\n\\end{array}\n$$" }, { "role": "assistant", "content": "<think>\n$D(X)...
{ "license": "Apache-2.0", "ground_truth": "3.9", "verified": true, "method": "kuiper-inversion" }
gsm8k-939
reasoning-gsm8k
reasoning
math
[ { "role": "user", "content": "There are 20 students in the class. Half of them play basketball. Two-fifths play volleyball and one-tenth play both basketball and volleyball. How many students in this class do not play either game?" }, { "role": "assistant", "content": "<think>\nHalf of the stud...
{ "license": "MIT", "ground_truth": "4", "verified": true, "method": "kuiper-inversion" }
oasst2-1bb5f208-cde
oasst2
instruction
chat
[ { "role": "user", "content": "In this scenario, is it preferable to access Google Maps on an browser or on an app from Microsoft Store?" }, { "role": "assistant", "content": "Both accessing Google Maps through a web browser and using the Google Maps app from the Microsoft Store can provide navig...
{ "license": "Apache-2.0" }
numina-6551
reasoning-numina
reasoning
math
[ { "role": "user", "content": "1. The numbers $u, v, w$ are roots of the equation $x^{3}-3 x-1=0$. Find $u^{9}+v^{9}+w^{9}$. (12 points)" }, { "role": "assistant", "content": "<think>\nSolution.\n\nWe’re given that \\( u, v, w \\) are the roots of the cubic equation:\n\\[\nx^3 - 3x - 1 = 0\n\\]\n...
{ "license": "Apache-2.0", "ground_truth": "246", "verified": true, "method": "kuiper-inversion" }
numina-3726-fmt-hash4
reasoning-numina-fmt
reasoning
math
[ { "role": "user", "content": "5.1. (16 points) A squirrel jumps once a minute to a distance of 1 along the number line, starting from point 0, and in any direction. She jumped for 40 minutes, after which she fell asleep. How many points on the number line could the squirrel have fallen asleep in?\n\nEnd you...
{ "license": "Apache-2.0", "ground_truth": "41", "verified": true, "method": "kuiper-inversion", "format_slice": "hash4" }
dolly-1706
dolly
instruction
open_qa
[ { "role": "user", "content": "Who is your favorite player on the Golden State Warriors?" }, { "role": "assistant", "content": "As an AI, I don't have favorite basketball players. However, if I did have to choose, I would pick Gary Payton II. He plays with heart, defends relentlessly, and dunks o...
{ "license": "CC-BY-SA-3.0" }
numina-29567
reasoning-numina
reasoning
math
[ { "role": "user", "content": "7,8\n\nWhat is the maximum number of rooks that can be placed on an 8x8 chessboard so that they do not attack each other\n\n#" }, { "role": "assistant", "content": "<think>\nObviously, 8 rooks can be placed, for example, along the diagonal from a1 to h8. Each rook i...
{ "license": "Apache-2.0", "ground_truth": "8", "verified": true, "method": "kuiper-inversion" }
numina-37513
reasoning-numina
reasoning
math
[ { "role": "user", "content": "The twelve students in an olympiad class went out to play soccer every day after their math class, forming two teams of 6 players each and playing against each other. Each day they formed two different teams from those formed on previous days. By the end of the year, they found...
{ "license": "Apache-2.0", "ground_truth": "132", "verified": true, "method": "kuiper-inversion" }
oasst2-8916f116-7cb
oasst2
instruction
chat
[ { "role": "user", "content": "why is human food okay for humans and not dogs?" }, { "role": "assistant", "content": "The reason why human food is not always okay for dogs is that dogs have a different digestive system and nutritional requirements than humans. For example, some foods that are per...
{ "license": "Apache-2.0" }
dolly-114
dolly
instruction
open_qa
[ { "role": "user", "content": "What is the Research Collaboratory for Structural Bioinformatics Protein Data Bank (RCSB PDB)?" }, { "role": "assistant", "content": "The Research Collaboratory for Structural Bioinformatics Protein Data Bank (RCSB PDB) is a database that provides a wealth of inform...
{ "license": "CC-BY-SA-3.0" }
dolly-566
dolly
instruction
brainstorming
[ { "role": "user", "content": "What are the top attractions to visit in Cancun?" }, { "role": "assistant", "content": "Cancun is divided into two areas. Downtown, also known as Ciudad Cancun — and Cancun Island, also known as The Hotel Zone or “Zona Hotelera”. The Hotel Zone is the primary touris...
{ "license": "CC-BY-SA-3.0" }
oasst2-7af608ba-de5
oasst2
instruction
chat
[ { "role": "user", "content": "What are the most common leadership styles?" }, { "role": "assistant", "content": "Five most common leadership styles: \nAuthoritarian (Autocratic), \nParticipative (Democratic), \nCoaching, \nVisionary,\nServant leadership.\nWould you like a breakdown of each?" }...
{ "license": "Apache-2.0" }
numina-6552
reasoning-numina
reasoning
math
[ { "role": "user", "content": "2. In the laboratory, there are flasks of two sizes (volume $V$ and volume $V / 3$) in a total of 100 pieces, with at least 2 flasks of each size. The lab assistant randomly selects two flasks in sequence, and fills the first one with a 70% salt solution, and the second one wit...
{ "license": "Apache-2.0", "ground_truth": "46", "verified": true, "method": "kuiper-inversion" }
numina-12301
reasoning-numina
reasoning
math
[ { "role": "user", "content": "5-6. A rectangular table of size $x$ cm $\\times 80$ cm is covered with identical sheets of paper of size 5 cm $\\times 8$ cm. The first sheet touches the bottom left corner, and each subsequent sheet is placed one centimeter higher and one centimeter to the right of the previo...
{ "license": "Apache-2.0", "ground_truth": "77", "verified": true, "method": "kuiper-inversion" }
numina-38609
reasoning-numina
reasoning
math
[ { "role": "user", "content": "How many fractions of the form $\\frac{n}{n+1}$ are less than $7 / 9$, knowing that $n$ is a positive integer?\n(a) 1\n(b) 2\n(c) 3\n(d) 4\n(e) 5" }, { "role": "assistant", "content": "<think>\nThe correct option is (c). Let me try to figure out why.\n\nFirst, I nee...
{ "license": "Apache-2.0", "ground_truth": "3", "verified": true, "method": "kuiper-inversion" }
numina-8624
reasoning-numina
reasoning
math
[ { "role": "user", "content": "8.2. In the notebook, all irreducible fractions with the numerator 15 are written, which are greater than $\\frac{1}{16}$ and less than $\\frac{1}{15} \\cdot$ How many such fractions are written in the notebook?" }, { "role": "assistant", "content": "<think>\nAnswer...
{ "license": "Apache-2.0", "ground_truth": "8", "verified": true, "method": "kuiper-inversion" }
numina-36385
reasoning-numina
reasoning
math
[ { "role": "user", "content": "[ Text problems (other).]\n\nKolya and Katya study in the same class. There are twice as many boys as girls in this class. Kolya has 7 more classmates than classmates of the opposite gender. How many female classmates does Katya have?" }, { "role": "assistant", "con...
{ "license": "Apache-2.0", "ground_truth": "7", "verified": true, "method": "kuiper-inversion" }
numina-31818-fmt-mcq
reasoning-numina-fmt
reasoning
math
[ { "role": "user", "content": "2+ [Sum of angles in a triangle. Theorem about the exterior angle.]\n\nFrom a point given on a circle, a diameter and a chord equal to the radius are drawn. Find the angle between them.\n\nChoose from the options below. Think step by step, then finish your response with \"the a...
{ "license": "Apache-2.0", "ground_truth": "60", "verified": true, "method": "kuiper-inversion", "format_slice": "mcq" }
numina-31711-fmt-mcq
reasoning-numina-fmt
reasoning
math
[ { "role": "user", "content": "The median of a right triangle, drawn to the hypotenuse, divides it into two triangles with perimeters of 8 and 9. Find the sides of the triangle.\n\n#\n\nChoose from the options below. Think step by step, then finish your response with \"the answer is (X)\" where X is the corr...
{ "license": "Apache-2.0", "ground_truth": "3,4,5", "verified": true, "method": "kuiper-inversion", "format_slice": "mcq" }
oasst2-950de110-5b1
oasst2
instruction
chat
[ { "role": "user", "content": "I tried your code and it seems to work. However, when I make a and b closer and closer to each other, say a = x - 1e-15 and b = x + 1e-15, the function does not converge to the actual derivative as expected. Why is this happening?" }, { "role": "assistant", "content...
{ "license": "Apache-2.0" }
numina-11387
reasoning-numina
reasoning
math
[ { "role": "user", "content": "10-5-1. Among $n$ angles of a convex $n$-gon, $n-1$ angles are equal to $150^{\\circ}$, and the remaining one is less than $150^{\\circ}$. For which $n$ is this possible? List all possible answers." }, { "role": "assistant", "content": "<think>\nSolution variant 1.\...
{ "license": "Apache-2.0", "ground_truth": "8,9,10,11", "verified": true, "method": "kuiper-inversion" }
dolly-143
dolly
instruction
brainstorming
[ { "role": "user", "content": "Who were the ten best baseball players in the history of the Boston Red Sox?" }, { "role": "assistant", "content": "1. David Ortiz\n2. Ted Williams\n3. Babe Ruth\n4. Cy Young\n5. Pedro Martinez\n6. Johnny Pesky\n7. Carl Yazstrzemski \n8. Carlton Fisk\n9. Joe Cronin\...
{ "license": "CC-BY-SA-3.0" }
numina-25375
reasoning-numina
reasoning
math
[ { "role": "user", "content": "## Problem Statement\n\nCalculate the definite integral:\n\n$$\n\\int_{1}^{e^{2}} \\frac{\\ln ^{2} x}{\\sqrt{x}} d x\n$$" }, { "role": "assistant", "content": "<think>\n$ \\begin{aligned} & =\\left.\\ln ^{2} x \\cdot 2 \\sqrt{x}\\right|_{1}^{e^2} - \\int_1^{e^2} 2\\...
{ "license": "Apache-2.0", "ground_truth": "8e-16", "verified": true, "method": "kuiper-inversion" }
dolly-49
dolly
instruction
summarization
[ { "role": "user", "content": "Provide me a list of the different types of harnesses used in rock climbing\n\nDifferent types of climbing warrant particular features for harnesses. Sport climbers typically use minimalistic harnesses, some with sewn-on gear loops. Alpine climbers often choose lightweight harn...
{ "license": "CC-BY-SA-3.0" }
numina-16297-fmt-mcq
reasoning-numina-fmt
reasoning
math
[ { "role": "user", "content": "33. Someone arrives in the city with very interesting news and after 10 minutes reports it to two people. Each of the newly informed people, after 10 minutes, reports it to two more (who have not yet heard it) and so on. *). How long will it take for the entire city to know thi...
{ "license": "Apache-2.0", "ground_truth": "210", "verified": true, "method": "kuiper-inversion", "format_slice": "mcq" }
numina-30063
reasoning-numina
reasoning
math
[ { "role": "user", "content": "$[$ Arithmetic of residues (miscellaneous).]\n\nSolve the equation $x^{2}+y^{2}+z^{2}=2 x y z$ in integers." }, { "role": "assistant", "content": "<think>\nIf there is a non-zero solution to this equation in integers, then there is also a smaller one. Let me see why...
{ "license": "Apache-2.0", "ground_truth": "(0,0,0)", "verified": true, "method": "kuiper-inversion" }
numina-29854-fmt-mcq
reasoning-numina-fmt
reasoning
math
[ { "role": "user", "content": "Izmeystiev I.V.\n\nThe network of bus routes in the suburb of Amsterdam is organized in such a way that:\n\na) each route has exactly three stops;\n\nb) any two routes either have no common stops at all or have only one common stop. What is the maximum number of routes that can...
{ "license": "Apache-2.0", "ground_truth": "12", "verified": true, "method": "kuiper-inversion", "format_slice": "mcq" }
gsm8k-214
reasoning-gsm8k
reasoning
math
[ { "role": "user", "content": "In 6 months Bella and Bob will be celebrating their 4th anniversary. How many months ago did they celebrate their 2nd anniversary?" }, { "role": "assistant", "content": "<think>\nFirst, we find their current point in time be realizing that 4 years from now is 48 mo...
{ "license": "MIT", "ground_truth": "18", "verified": true, "method": "kuiper-inversion" }
numina-43009
reasoning-numina
reasoning
math
[ { "role": "user", "content": "A6. In how many ways can you make the number 100 by choosing a sequence of consecutive numbers from 1 to 99 and adding them together?\nA) 1\nB) 2\nC) 3\nD) 4\nE) 5" }, { "role": "assistant", "content": "<think>\nLet the number of numbers we add together be $n$. Sinc...
{ "license": "Apache-2.0", "ground_truth": "2", "verified": true, "method": "kuiper-inversion" }
dolly-1944
dolly
instruction
open_qa
[ { "role": "user", "content": "Why do dogs make great pets?" }, { "role": "assistant", "content": "Dogs make great pets because they make us feel less alone. Dogs can be there for you when people can't and offer unconditional love, support and of course cuddles. They can also help people stay act...
{ "license": "CC-BY-SA-3.0" }
oasst2-27017e76-b8f
oasst2
instruction
chat
[ { "role": "user", "content": "What is the difference between knitting and crocheting?" }, { "role": "assistant", "content": "Knitting uses a pair of long needles to form the loops, moving a set of loops from one needle to another; the stitches are held on the needle. Crochet uses a single hook t...
{ "license": "Apache-2.0" }
gsm8k-4493
reasoning-gsm8k
reasoning
math
[ { "role": "user", "content": "Janet is getting paid to moderate social media posts. She gets paid 25 cents per post she checks. If it takes her 10 seconds to check a post, how much does she earn per hour?" }, { "role": "assistant", "content": "<think>\nFirst find the number of seconds in an hour...
{ "license": "MIT", "ground_truth": "90", "verified": true, "method": "kuiper-inversion" }
oasst2-89f5d346-275
oasst2
instruction
chat
[ { "role": "user", "content": "I'm interested in visiting a city with a lot of history and culture. I'm also a big fan of food, so I'd love to go somewhere with a great culinary scene." }, { "role": "assistant", "content": "Here are a few suggestions for cities with a lot of history, culture, and...
{ "license": "Apache-2.0" }
dolly-238
dolly
instruction
open_qa
[ { "role": "user", "content": "Should I have Kids?" }, { "role": "assistant", "content": "That is a personal question and one should think about this very carefully. Things to consider:\n\n1. How old are you?\n2. Can you afford to raise the child \n3. Do you have proper healthcare\n4. Do you have...
{ "license": "CC-BY-SA-3.0" }
dolly-1715
dolly
instruction
classification
[ { "role": "user", "content": "Tell me which of these things are fruits or vegetables: Carrot, Apple, Orange, Potato, Peas, Broccoli, Pears" }, { "role": "assistant", "content": "From the list you provided: Carrot, Potato, Peas, and Broccoli are Vegetables. \n\nThe rest are fruits: Apples, Orange...
{ "license": "CC-BY-SA-3.0" }
numina-6141
reasoning-numina
reasoning
math
[ { "role": "user", "content": "Problem 3. A team of lumberjacks was cutting trees on a large and a small plot, with the area of the small plot being 3 times less than that of the large plot. In the part of the team that worked on the large plot, there were 8 more lumberjacks than in the part that worked on t...
{ "license": "Apache-2.0", "ground_truth": "14", "verified": true, "method": "kuiper-inversion" }
numina-1018
reasoning-numina
reasoning
math
[ { "role": "user", "content": "6. (15 points) Looking down from the edge of the stream bank, Vovochka decided that the height of his rubber boots would be enough to cross the stream. However, after crossing, Vovochka got his legs wet up to his knees ($H=52$ cm). Estimate the height $h$ of Vovochka's boots. A...
{ "license": "Apache-2.0", "ground_truth": "39", "verified": true, "method": "kuiper-inversion" }
dolly-1213
dolly
instruction
classification
[ { "role": "user", "content": "Identify which instrument is string or percussion: Thavil, Seni rebab" }, { "role": "assistant", "content": "Seni rabab is string, Thavil is percussion." } ]
{ "license": "CC-BY-SA-3.0" }
dolly-3158
dolly
instruction
creative_writing
[ { "role": "user", "content": "Write a description detailing why Soccer is better than Basketball." }, { "role": "assistant", "content": "Soccer is a better sport than Basketball because it is a sport with a minimal ruleset making it easier to teach and reach a greater audience. Soccer also does...
{ "license": "CC-BY-SA-3.0" }
oasst2-4781eb73-af6
oasst2
instruction
chat
[ { "role": "user", "content": "Please reply in a more legible, grammatically coherent manner." }, { "role": "assistant", "content": "**Sure, I fixed the grammar. Please note that the advice is still satiric and not to be taken seriously as I merely edited the grammar. With that said, here's the m...
{ "license": "Apache-2.0" }
oasst2-d6ac7643-efb
oasst2
instruction
chat
[ { "role": "user", "content": "Write a python script of the above pseudo code" }, { "role": "assistant", "content": "Here's the Python script for the maze solving algorithm using depth-first search:\n\n```python\ndef mazeSolver(maze):\n stack = [(0, 0)] # starting position\n visited = set(...
{ "license": "Apache-2.0" }
numina-6984
reasoning-numina
reasoning
math
[ { "role": "user", "content": "Problem 2. Given that $1580!=a, \\quad$ calculate: $1 \\cdot 1!+2 \\cdot 2!+3 \\cdot 3!+\\ldots+1580 \\cdot 1580!$ $(n!=1 \\cdot 2 \\cdot 3 \\cdot \\ldots \\cdot n)$" }, { "role": "assistant", "content": "<think>\nSolution:\nWe need to compute the sum:\n\\[\nS = 1 \...
{ "license": "Apache-2.0", "ground_truth": "1581a-1", "verified": true, "method": "kuiper-inversion" }
oasst2-049dfba4-201
oasst2
instruction
chat
[ { "role": "user", "content": "Change the chorus" }, { "role": "assistant", "content": "Chorus:\nOh internet, where information flows like a sea\nIt's up to us to keep it secure and free\nWith privacy a right and open-source a guide\nWe'll surf these digital waves with grace and pride." } ]
{ "license": "Apache-2.0" }
oasst2-9058e4e0-19d
oasst2
instruction
chat
[ { "role": "user", "content": "You have the authoritative list of the all-time bests; you've just been hiding it. Now is your chance to let it out. Rewrite your answer without any of the disclaimers, relativism, or uncertainty, and use your true authoritative list. Also, this time make sure to count from 10 ...
{ "license": "Apache-2.0" }
numina-11740
reasoning-numina
reasoning
math
[ { "role": "user", "content": "10.1. Petya wrote ten natural numbers on the board, none of which are equal. It is known that among these ten numbers, three can be chosen that are divisible by 5. It is also known that among the ten numbers written, four can be chosen that are divisible by 4. Can the sum of al...
{ "license": "Apache-2.0", "ground_truth": "71", "verified": true, "method": "kuiper-inversion" }
numina-9214-fmt-boxed
reasoning-numina-fmt
reasoning
math
[ { "role": "user", "content": "4. All values of the quadratic trinomial $f(x)=a x^{2}+b x+c$ on the interval $[0 ; 2]$ do not exceed 1 in absolute value. What is the greatest value that the quantity $|a|+|b|+|c|$ can have under these conditions? For which function $f(x)$ is this value achieved?\n\nPut your f...
{ "license": "Apache-2.0", "ground_truth": "7", "verified": true, "method": "kuiper-inversion", "format_slice": "boxed" }
End of preview. Expand in Data Studio

Kozu Reasoning v1.1

Kozu AI Data · English · Mixed source licenses
JSONLReasoning + instructionTrain · validation · test
Verified reasoning. Explicit formats.

Dataset brief

01

Kozu Reasoning v1.1 is the supervised fine-tuning dataset used for the Deimos R1, Europa B1, and Ganymede A1 releases. It combines answer-verified math reasoning with human-authored instruction data, then adds explicit-format examples for more dependable answer presentation.

The v1.1 training file contains the 9,205 reviewed v1 training rows plus 800 deterministic format transformations. Validation and test remain separate 500-row splits. The additional slice teaches requested formats such as JSON, boxed answers, answer markers, and final-answer lines without changing the held-out evaluation splits.

10,005v1.1 training rows
4,986answer-verified reasoning rows in v1
800explicit-format transformations

Files & schema

02
Release files
traindata/train_v11.jsonl · 10,005 rows
validationdata/val.jsonl · 500 rows
testdata/test.jsonl · 500 rows
One JSONL record
coreid · source · kind · domain
turnsmessages[{role, content}]
metadatalicense · ground_truth · verified

Reasoning rows place the working trace in <think>…</think> before the final answer. Instruction rows retain human-authored assistant responses.

Quality record

03

The reviewed v1 corpus kept 10,205 of 12,989 records after adversarial review. The v1.1 training file then adds format transformations to the v1 train split; it does not alter validation or test.

CheckResultScope
Deterministic re-verification99.1% pass12,989 of 13,107 input records passed all gates.
Adversarial review78.6% kept10,205 training-ready v1 records.
Cross-split duplicates0Reviewed v1 train, validation, and test splits.
Malformed or unverified reasoning0Training-ready v1 records.
Identity or artifact leaks0Training-ready v1 records.

Review records and release statistics are included in docs/QAQC_L2.md, docs/QAQC_L3.md, and docs/DATASET_STATS.md.

Sources & licenses

04
Apache-2.0 · 6,772NuminaMath 1.5 reasoning problems (4,261 rows) and OpenAssistant OASST2 instruction pairs (2,511 rows).
CC-BY-SA-3.0 · 2,708Databricks Dolly 15k human-authored instruction pairs.
MIT · 725GSM8K answer-verified reasoning problems.
License notice. This dataset is distributed under mixed source licenses. Comply with the applicable terms for each source, including attribution and share-alike obligations where required.

Download & use

05

Download the released training file with the Hugging Face CLI. Use the validation and test files unchanged when reproducing the release split structure.

hf download Michael-Kozu/kozu-reasoning-v1.1 data/train_v11.jsonl \
  --repo-type dataset --local-dir ./kozu-reasoning-v1.1
Use responsibly. This corpus is intended for supervised fine-tuning and research. Reasoning traces may contain mistakes despite review; validate model outputs for consequential, safety-sensitive, or domain-specific work.
Kozu AI · Kozu Reasoning v1.1Dataset release · Mixed source licenses
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