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[Перевод] Учебник — всё, что вам нужно
Немного вызывающее название статьи отсылает к известной работе Внимание - всё, что вам нужно. На этот раз речь пойдет о качестве данных, на которых обучают LLM. Оказывается, качественный учебник (как концентрат знаний в любой сфере) в разы сокращает потребность и в памяти, и в мощности GPU, и в деньгах инвесторов...
Эта статья - о качестве данных при обучении/файнтюнинге LLM. Классическая работа о количественных данных позволит лучше понять, на что влияет качество датасета: Законы масштабирования нейронных языковых моделей
2 октября 2023
Аннотация
Мы представляем phi-1, новую большую языковую модель для генерации кода, которая значительно меньше по размеру по сравнению с конкурирующими моделями: phi-1 — это модель на основе архитектуры трансформера с 1,3 миллиардами параметров, обученная в течение 4 дней на 8 A100, с использованием выборки данных "качество-как-в-учебнике" из интернета (6 миллиардов токенов) а также синтетически сгенерированных с помощью GPT-3.5 учебников и упражнений (1 миллиард токенов). Несмотря на такой небольшой масштаб, phi-1 достигает точности pass@1 50,6% на HumanEval и 55,5% на MBPP. Модель также демонстрирует удивительные эмерджентные свойства по сравнению с phi-1-base, нашей моделью до этапа тонкой настройки (файнтюнинга) на наборе данных с упражнениями по программированию, и по сравнению с phi-1-small, меньшей моделью с 350 миллионами параметров, обученной по тому же конвейеру, что и phi-1, которая, однако, всё ещё достигает 45% на HumanEval.
1. Введение
Искусство обучения больших нейронных сетей показало невероятный прогресс за последнее десятилетие, особенно после открытия архитектуры трансформера [*], однако научные знания, стоящие за этим успехом, пока остаются ограниченными. Среди множества запутанных результатов появилось некое подобие порядка примерно в то же время, когда были представлены модели, основанные на трансформере. Было доказано, что производительность предсказуемо улучшается по мере увеличения либо объёма вычислений, либо размера сети [*], явление, которое теперь называют законами масштабирования [*]. Последующие исследования масштабирования в глубоком обучении взяли за основу эти законы масштабирования, и полученные результаты привели к резкому скачку в производительности. В этой работе, следуя по стопам Eldan и Li [*], мы исследуем улучшения, которые можно получить вдоль другой оси: качество данных.
Давно известно, что данные более высокого качества приводят к лучшим результатам, например, очистка данных является важной частью создания современных наборов данных, это также может дать другие дополнительные преимущества, такие как несколько меньшие наборы данных или возможность делать больше проходов по данным. Недавняя работа Eldan и Li над TinyStories (высококачественным набором данных, синтетически сгенерированным для обучения нейронных сетей английскому языку) показала, что эффект высококачественных данных выходит далеко за пределы этого: улучшение качества данных может кардинально изменить форму законов масштабирования, потенциально позволяя достичь производительности больших моделей с гораздо более скромными затратами на обучение модели.
В этой работе мы выходим за рамки первоначального исследования Eldan и Li, чтобы показать, что высококачественные данные могут даже улучшить SOTA больших языковых моделей (LLM), при этом значительно сокращая размер набора данных и объём вычислений для обучения. Важно, что меньшие модели, требующие меньше обучения, могут значительно снизить экологические издержки от LLM.
Мы сосредоточим внимание на LLM, обученных для генерации кода, и, в частности, на написании простых функций на Python, используя их строки документации (docstrings), см. [*]. Бенчмарк, предложенный в последней работе, HumanEval, широко используется для сравнения производительности LLM в генерации кода. Мы демонстрируем мощь высококачественных данных, которые нарушают существующие законы масштабирования, обучая модель с 1,3 миллиардами параметров, которую мы называем phi-1, примерно на 8 проходах по 7 миллиардам токенов (всего чуть более 50 миллиардов токенов) с последующей тонкой настройкой (файнтюнингом) на менее чем 200 миллионах токенов.
Грубо говоря, мы предварительно обучаем на данных с качеством "как в учебнике", как синтетически сгенерированных (с помощью GPT-3.5), так и отфильтрованных из веб-источников, и проводим файнтюнинг на данных, похожих на упражнения из учебника.
Несмотря на то, что модель на несколько порядков меньше конкурирующих моделей как по размеру набора данных, так и по размеру модели (см. Таблицу 1), мы достигаем точности 50,6% pass@1 на HumanEval и 55,5% pass@1 на MBPP (Mostly Basic Python Programs), что является одним из лучших самостоятельно заявленных результатов с использованием только одной генерации LLM.
Таблица 1: Мы используем данные отчетов, если они доступны. Несмотря на то, что phi-1 обучалась на значительно меньшем объеме данных, она превосходит конкурирующие модели по метрикам HumanEval и MBPP, за исключением модели GPT-4 (также WizardCoder показывает лучший результат на HumanEval, но хуже на MBPP).
Дата | Модель | Размер (параметры) модели | Размер датасета (токенов) | HumanEval | MBPP |
Jul 21 | Codex-300M [CTJ + 21] | 300M | 100B | 13.2% | N.A. |
Jun 23 | phi-1 | 1.3B | 7B | 50.6% | 55.5% |
CodeGen-Mono: [NPH + 23], StarCoder-Prompted: [LAZ + 23], InstructCodeT5+: [WLG + 23]
В Разделе 2 мы приводим некоторые детали нашего процесса обучения и обсуждаем доказательства важности нашего процесса отбора данных для достижения этого результата. Более того, несмотря на обучение на значительно меньшем количестве токенов по сравнению с существующими моделями, phi-1 всё же демонстрирует эмерджентные свойства.
Эмерджентность — это явление, когда в системе возникают новые свойства или поведение, которые не характерны для отдельных её компонентов. Т.е. это проявления феномена, когда целое больше, чем сумма его частей - прим. переводчика.
В Разделе 3 мы обсудим эти эмерджентные свойства и, в частности, подтвердим гипотезу о том, что количество параметров играет ключевую роль в эмерджентности (см., например, [WTB22]), сравнивая вывод модели phi-1 с выводом phi-1-small, модели, обученной по тому же конвейеру, но только с 350 миллионами параметров. Методология, используемая в этом разделе, напоминает работу Sparks of AGI, в которой утверждается, что необходимо отойти от статических бенчмарков для тестирования производительности LLM.
Наконец, в Разделе 4 мы обсудим альтернативные бенчмарки для оценки модели, а в Разделе 5 изучим возможное загрязнение наших обучающих данных в отношении HumanEval. Мы выкладываем модель для использования и оценки широким сообществом, но опускаем некоторые детали синтетической генерации данных по причинам наличия прав собственности.
Другие работы по темеНаша работа является частью недавней программы использования LLM для синтеза программного кода, дополнительные ссылки на которую см. в [CTJ+21, NPH+22]. Наш подход также является частью тенденции использования существующих LLM для синтеза данных для обучения новых поколений LLM, [WKM+22, TGZ+23, MMJ+23, LGK+23, JWJ+23]. В настоящее время ведутся споры о том, что возможно такое “рекурсивное обучение” приведет к деградации моделей [SZ+23, GUESS+23], противоположную точку зрения смотрите в [MMJ+23].
Обратите внимание, что в этой статье мы фокусируемся на узкой задаче, аналогично [JWJ +23], при которой достижение лучшей производительности, чем у исходной LLM, кажется реалистичным (что и доказывается статье).
2. Детали обучения и важность высококачественных данных
Рисунок 2.1: Точность Pass@1 (%) на HumanEval. Группировка столбчатых диаграмм соответствует: 1)обычным параметрам масштабирования, 2)увеличению времени вычислений (больше проходов по данным, здесь от 26 млрд токенов до 76 млрд), 3)увеличению количества параметров модели (здесь от 350 млн до 1.3 млрд). Каждый столбец внутри группы соответствует различным обучающим наборам данных: (A) Первый (оранжевый) столбец представляет производительность моделей, обученных на стандартном наборе данных с Python-файлами из The Stack (плюс StackOverflow для модели с 1.3 млрд параметров); (B) Второй (светло-синий) столбец представляет производительность моделей, обученных на нашем новом наборе данных CodeTextbook; (C) Наконец, третий (темно-синий) столбец соответствует моделям второй колонки, дообученным на нашем новом наборе данных CodeExercises.
Для моделей с 1.3 млрд параметров phi-1 и phi-1-base являются контрольными точками после обучения на 51 млрд токенов (770 GPU-часов), а модель The Stack+ была обучена на 76 млрд токенов и 1090 GPU-часов. Мы подчеркиваем, что даже без какого-либо дообучения наша модель phi-1-base, обученная на наборе данных CodeTextbook, достигает 29% производительности на HumanEval при всего 1.3 млрд параметров. Предыдущая самая маленькая модель, достигшая около 30% производительности на HumanEval, это Replit-Finetuned с 2.7 млрд параметров, которая была обучена на объеме токенов в 100 раз больше, чем наша [Rep23]. Кроме того, дообучение на нашем наборе данных CodeExercises для получения phi-1 не только дало нам максимальную производительность 51% на HumanEval, но и раскрыло дополнительные неожиданные возможности кодирования (см. Раздел 3).
Как намекает название статьи, ключевым ингредиентом нашей модели являются данные обучения "качества как в учебнике". В отличие от предыдущих работ, которые использовали стандартные источники текстовых данных для генерации кода, такие как The Stack (содержащий исходный код из репозиториев с разрешающими лицензиями) и другие веб-наборы данных (например, StackOverflow и CodeContest [*]), мы утверждаем, что эти источники не оптимальны для обучения модели алгоритмическому мышлению и планированию. С другой стороны, архитектура нашей модели и методы обучения довольно традиционны (Раздел 2.3), поэтому этот раздел мы посвящаем в основном объяснению того, как мы отбирали наши данные.
Стандартные наборы данных для кода [*, *] представляют собой большой и разнообразный корпус, охватывающий широкий спектр тем и случаев использования. Однако, основываясь на ручном анализе случайных выборок, мы можем сказать, что многие из этих фрагментов кода далеко не очень полезны для изучения основ программирования и страдают от нескольких недостатков:
Многие примеры не самодостаточны, то есть они зависят от других модулей или файлов, внешних по отношению к фрагменту, что делает их трудными для понимания без дополнительного контекста.
Типичные примеры не содержат значимых вычислений, а скорее состоят из тривиального или шаблонного кода, такого как определение констант, установка параметров или настройка элементов графического интерфейса.
Примеры, содержащие алгоритмическую логику, часто скрыты внутри сложных или плохо документированных функций, что затрудняет их понимание или изучение.
Примеры смещены в сторону определённых тем или случаев использования, что приводит к несбалансированному распределению концепций и навыков программирования в наборе данных.
Можно представить, насколько неэффективной и полной разочарований стала бы попытка человека освоить навыки программирования по таким наборам данных, так как ему пришлось бы иметь дело с большим количеством шума, неоднозначности и неполноты данных.
Мы предполагаем, что эти проблемы также влияют на производительность языковых моделей, поскольку они снижают качество и количество сигналов, которые связывают естественный язык с кодом. Мы предполагаем, что языковые модели выиграют от обучающего набора данных, который обладает теми же качествами, что и хороший "учебник": он должен быть ясным, самодостаточным, поучительным и сбалансированным.
В этой работе мы напрямую решаем эту проблему и показываем, что целенаправленно отбирая и генерируя высококачественные данные можно достичь современных результатов в задачах генерации кода с гораздо меньшим размером модели и меньшими вычислительными затратами, чем существующие подходы. Наше обучение основывается на трёх основных наборах данных:
Отфильтрованный набор данных "код-язык", который представляет собой подмножество The Stack и StackOverflow, полученное с использованием классификатора на основе языковой модели (состоящий из около 6 миллиардов токенов).
Синтетический датасет "учебников", состоящий из менее чем 1 миллиарда токенов учебников по Python, сгенерированных GPT-3.5.
Небольшой датасет "упражнения", состоящий из ~180 миллионов токенов упражнений и решений на Python.
Мы подробно описываем эти наборы данных в следующих подразделах. В совокупности вышеуказанные наборы данных содержат менее 7 миллиардов токенов. Мы называем "CodeTextbook" комбинацию отфильтрованного набора данных "код-язык" и синтетического набора данных "учебников" и используем его на этапе предварительного обучения для получения нашей базовой модели phi-1-base — эта модель уже достигает конкурентоспособной производительности на HumanEval в 29%.
Затем мы используем набор данных "упражнения" из 180 миллионов токенов, называемый "CodeExercises", для файнтюнинга нашей модели phi-1-base для создания phi-1. Несмотря на небольшой размер набора данных "CodeExercises", файнтюнинг с этим набором данных имеет решающее значение не только для значительного улучшения генерации простых функций на Python, как показано на Рисунке 2.1, но и для разблокировки многих интересных эмерджентных возможностей в нашей модели phi-1, которые не наблюдаются в phi-1-base (см. Раздел 3).
2.1 Фильтрация существующих наборов данных с использованием классификатора на основе трансформера
Мы начинаем с общедоступных наборов данных на Python: используем подмножество Python из дедуплицированной версии The Stack и StackOverflow, которые вместе содержат более 35 миллионов файлов/примеров, всего более 35 миллиардов токенов.
Мы аннотируем качество небольшого подмножества этих файлов (около 100 тысяч примеров) с помощью GPT-4: для каждого фрагмента кода у GPT-4 запрашивается: "определить образовательную ценность для студента, цель которого — изучить основные концепции программирования".
Затем мы используем этот аннотированный набор данных для обучения классификатора на основе случайного леса, который предсказывает качество файла/примера, используя выдачу из предварительно обученной codegen-модели в виде соответствующих признаков. Мы отмечаем, что, в отличие от GPT-3.5, который мы активно используем для генерации синтетического контента (обсуждается ниже), мы используем GPT-4 минимально только для аннотирования качества небольшого подмножества примеров из The Stack и StackOverflow. Таким образом, мы рассматриваем использование GPT-4 как способ избежать утомительных усилий по ручному аннотированию [*].
Образовательная ценность, определенная фильтром / Высокая ценность (слева) / Низкая ценность (справа)
Код выше в формате python:# Высокая ценность
import torch
import torch.nn.functional as F
def normalize(x, axis=-1):
"""Performs L2-Norm."""
num = x
denom = torch.norm(x, 2, axis, keepdim=True)
.expand_as(x) + 1e-12
return num / denom
def euclidean_dist(x, y):
"""Computes Euclidean distance."""
m, n = x.size(0), y.size(0)
xx = torch.pow(x, 2).sum(1, keepdim=True).
expand(m, n)
yy = torch.pow(x, 2).sum(1, keepdim=True).
expand(m, m).t()
dist = xx + yy - 2 * torch.matmul(x, y.t())
dist = dist.clamp(min=1e-12).sqrt()
return dist
def cosine_dist(x, y):
"""Computes Cosine Distance."""
x = F.normalize(x, dim=1)
y = F.normalize(y, dim=1)
dist = 2 - 2 * torch.mm(x, y.t())
return dist# Низкая ценность
import re
import typing
...
class Default(object):
def __init__(self, vim: Nvim) -> None:
self._vim = vim
self._denite: typing.Optional[SyncParent] = None
self._selected_candidates: typing.List[int] = []
self._candidates: Candidates = []
self._cursor = 0
self._entire_len = 0
self._result: typing.List[typing.Any] = []
self._context: UserContext = {}
self._bufnr = -1
self._winid = -1
self._winrestcmd = ''
self._initialized = False
self._winheight = 0
self._winwidth = 0
self._winminheight = -1
self._is_multi = False
self._is_async = False
self._matched_pattern = ''
...Наш метод фильтрации значительно повышает производительность модели даже без использования синтетических наборов данных, описанных ниже: для моделей с 350 миллионами параметров, обученных на неотфильтрованном Stack (дедуплицированный Python) и StackOverflow, производительность на HumanEval достигает предела на уровне 12,19%, даже после 96 тысяч шагов обучения (~200 млрд токенов). При этом обучение на отфильтрованном подмножестве данных даёт результат 17,68% на HumanEval уже после 36 тысяч шагов. Мы дополнительно улучшили этот показатель до 20,12% (см. рисунок 2.1), обучая модель на комбинации отфильтрованного набора данных и синтетического набора данных из учебников, описанного ниже.
2.2 Создание синтетических наборов данных с "качеством учебника"
Одной из основных проблем при создании высококачественного набора данных для генерации кода является обеспечение того, чтобы примеры были разнообразными и не повторялись.
Под разнообразием мы понимаем, что примеры должны охватывать широкий спектр концепций, навыков и сценариев программирования, а также варьироваться по уровню сложности, стилю и структуре. Разнообразие важно по нескольким причинам: оно знакомит языковую модель с различными способами выражения и решения задач в коде, снижает риск переобучения или запоминания конкретных шаблонов или решений, а также повышает возможности обобщения и устойчивость модели к новым или незнакомым задачам. Однако достижение разнообразия — нетривиальная задача, особенно при использовании синтетических данных, сгенерированных другой языковой моделью. Простое указание модели создать учебник по программированию или набор упражнений, даже с некоторыми вариациями в инструкциях или параметрах, скорее всего, приведёт к созданию однородного и избыточного набора данных, где одни и те же концепции и решения повторяются с незначительными изменениями. Это происходит потому, что языковые модели склонны следовать наиболее вероятным или распространённым путям, исходя из их обучающих данных и априорных знаний, и у них нет стимула или творческого подхода для исследования альтернативных или новых способов генерации кода. Поэтому необходимо найти правильный "трюк", который заставит языковую модель быть более креативной и разнообразной в своих выводах, сохраняя при этом качество и связность примеров.
Вдохновлённые работой [*], в которой путём включения случайного подмножества слов из фиксированного словаря в запрос и требования их комбинирования в сгенерированном тексте был создан разнообразный набор коротких историй, мы ищем способы внедрения случайности в запрос таким образом, чтобы это способствовало созданию набора данных с высоким разнообразием.
Синтетический набор данных "учебников"
Этот набор данных состоит из менее чем 1 миллиарда токенов учебников по Python, сгенерированных GPT-3.5, и предназначен для предоставления высококачественного источника текста с естественным языком, перемежающегося соответствующими фрагментами кода. Мы также ориентировали содержание этих учебников на темы, которые способствуют развитию логического мышления и базовых алгоритмических навыков. Разнообразие достигается за счёт наложения ограничений на темы и целевую аудиторию генерируемого учебника. Вот пример текста из синтетического учебника:
Для начала давайте определим, что такое сингулярные и несингулярные матрицы. Матрица называется сингулярной, если её определитель равен нулю. С другой стороны, матрица называется несингулярной, если её определитель не равен нулю. Теперь давайте рассмотрим эти концепции на примерах.
Пример 1: Рассмотрим матрицу
A = np.array([[1, 2], [2, 4]]). Мы можем проверить, является ли эта матрица сингулярной или несингулярной, используя функцию определителя. Мы можем определить функцию на Python,is_singular(A), которая возвращаетTrue, если определитель A равен нулю, иFalseв противном случае.
import numpy as np
def is_singular(A):
det = np.linalg.det(A)
if det == 0:
return True
else:
return False
A = np.array([[1, 2], [2, 4]])
print(is_singular(A)) # TrueНабор данных "CodeExercises"
Это небольшой синтетический набор данных "упражнения", состоящий из менее чем 180 миллионов токенов упражнений и решений на Python. Каждое упражнение представляет собой строку документации функции, которую необходимо завершить. Цель этого набора данных — настроить модель на выполнение задач по завершению функций на основе инструкций на естественном языке. Этот набор данных также был сгенерирован GPT-3.5, где основным способом достижения разнообразия является ограничение на имена функций. Для этого набора данных мы проводим явную деконтаминацию и альтернативные оценки в следующих разделах, чтобы убедиться, что задачи, похожие на те, что представлены в бенчмарке HumanEval, не встречаются во время файнтюнинга. Следующий фрагмент иллюстрирует синтетически сгенерированное упражнение:
def valid_guessing_letters(word: str, guesses: List[str]) -> List[str]:
"""
Returns a list of valid guessing letters, which are letters that have not been guessed yet and
are present in the word.
Parameters:
word (str): The word to guess.
guesses (List[str]): A list of letters that have already been guessed.
Returns:
List[str]: A list of valid guessing letters.
"""
valid_letters = []
for letter in word:
if letter not in guesses and letter not in valid_letters:
valid_letters.append(letter)
return valid_letters2.3. Архитектура модели и обучение
Мы использовали трансформер с декодером [*], использующий реализацию FlashAttention для многоголового внимания (MHA) [*]. Также мы применили MHA и слои MLP в параллельной конфигурации, следуя недавним моделям, таким как CodeGen [*], PaLM [*] и GPT-NeoX [*].
Архитектура нашей модели phi-1 с 1.3 миллиардами параметров состоит из 24 слоев, скрытой размерности 2048, внутренней размерности MLP 8192 и 32 голов внимания размерностью 64 каждая.
Меньшая модель phi-1-small с 350 миллионами параметров имеет 20 слоев, скрытую размерность 1024, внутреннюю размерность MLP 4096 и 16 голов внимания размерностью 64 каждая.
Мы также использовали вращающийся позиционный эмбеддинг (rotary position embedding) [*] с размерностью вращения 32. Эти архитектурные решения были заимствованы из [*]. Мы использовали тот же токенизатор, что и в codegen-350M-mono [*]. Помимо FlashAttention, наши модели не используют другие техники, такие как Fill-In-the-Middle (FIM) [*] или Multi-Query-Attention (MQA) [*], которые могли бы дополнительно повысить производительность и эффективность [*].
Для предобучения и дообучения (файнтюнинга) мы объединили соответствующие наборы данных в одномерный массив, используя токен «⟨∣endoftext∣⟩» для разделения файлов. Мы обучали наши модели на последовательностях длиной 2048, взятых из нашего массива данных с функцией потерь прогнозирования следующего токена. Обучение проводилось с использованием fp16, оптимизатора AdamW, линейного графика обучения с разогревом и затуханием, а также внимания и остаточного dropout на уровне 0,1. Обучение выполнялось на 8 GPU Nvidia A100 с использованием deepspeed. Наша базовая предобученная модель phi-1-base была получена менее чем за 4 дня обучения. Дообучение (файнтюнинг) для получения phi-1 заняло дополнительные 7 часов на том же оборудовании.
Предобучение (Pretraining)
phi-1-base был обучен на датасете CodeTextbook (отфильтрованный корпус кода и синтетические учебники). Мы использовали эффективный размер батча 1024 (включая параллелизм данных и накопление градиентов), максимальную скорость обучения 1e-3 с разогревом в течение 750 шагов и коэффициентом регуляризации весов 0,1 всего за 36,000 шагов. Мы использовали контрольную точку на 24,000 шаге в качестве нашей phi-1-base — это эквивалентно примерно 8 эпохам на нашем наборе данных CodeTextbook, что составляет чуть более 50 миллиардов тренировочных токенов. Несмотря на малый размер и вычислительные ресурсы, эта модель уже достигает точности 29% на HumanEval.
Файнтюнинг
phi-1 получена путем файнтюнинга phi-1-base на наборе данных CodeExercises. Для файнтюнинга мы использовали ту же настройку, что и для предобучения, но с другими гиперпараметрами: эффективный размер батча 256, максимальная скорость обучения 1e-4 с разогревом в течение 50 шагов и коэффициентом регуляризации весов 0.01. Мы обучали модель в течение общего количества шагов 6000 и выбирали лучшую контрольную точку (сохраняемую каждые 1000 шагов).
3. Скачок возможностей модели после файнтюнинга на наборе CodeExercises
На Рисунке 2.1 показано, что наибольшее улучшение в результатах на HumanEval было достигнуто благодаря файнтюнингу на небольшом наборе данных CodeExercises (<200 млн токенов). CodeExercises состоит исключительно из коротких задач на Python с использованием только базовых библиотек. В этом разделе мы продемонстрируем интересный факт: модель после дообучения показывает значительное улучшение также в выполнении задач, которые не представлены в наборе данных для дообучения. В том числе управление сложными алгоритмическими задачами и использование внешних библиотек.
Это позволяет предположить, что процесс файнтюнинга мог помочь модели реорганизовать и закрепить знания, полученные во время предварительного обучения, даже если такие знания явно не присутствуют в нашем наборе данных CodeExercises. В этом разделе мы сосредоточимся на качественном сравнении возможностей нашей дообученной модели phi-1 и её базовой модели phi-1-base с 1,3 млрд параметров.
3.1 Файнтюнинг улучшает понимание модели
Используя простую функцию Python, которую мы создали самостоятельно, мы наблюдаем, что модель демонстрирует значительно более высокий уровень понимания и соответствия инструкциям после файнтюнинга. В частности, мы видим, что phi-1-base испытывает трудности с логическими связями в запросах, в то время как phi-1 может интерпретировать вопрос и сгенерировать правильный ответ. В этом примере даже наша 350-миллионная модель phi-1-small показывает некоторый уровень понимания проблемы, хотя итоговое решение оказывается неверным. Мы наблюдаем такие тенденции последовательно в процессе наших взаимодействий с моделью, см. другой пример в Приложении A.
Промпт: Алиса, Боб и Чарльз играют в игру. Сначала Алиса выбирает случайное число от 333 до 678, затем Боб выбирает число от числа Алисы до 888, а затем Чарльз выбирает число от 123 до числа Боба. Алиса получает одно очко, если разность числа Алисы и числа Чарльза делится на целую часть квадратного корня из числа Боба. В противном случае Боб получает одно очко. Смоделируйте очки Алисы и Боба за 30 итераций.
Код предыдущего примера:# phi-1
points = [0, 0]
for i in range(30):
alice_num = random.randint(333, 678)
bob_num = random.randint(alice_num, 888)
charles_num = random.randint(123, bob_num)
if (alice_num - charles_num) % int(bob_num ** 0.5) == 0:
points[0] += 1
else:
points[1] += 1
return f"Alice: {points[0]}, Bob: {points[1]}"# phi-1-base
self.points = 0
self.alice = 333
self.bob = 678
self.charles = 888
self.bob_points = 0
self.alice_points = 0
self.iterations = 30
self.alice_turn = True
self.bob_turn = True
self.alice_turn_points = 0
self.bob_turn_points = 0
self.alice_turn_points_history = []
self.bob_turn_points_history = []
self.alice_turn_points_history.append(self.alice_points)
self.bob_turn_points_history.append(self.bob_points)# phi-1-small
indices = []
import random
alice_points = 0
bob_points = 0
for i in range(30):
alice_num = random.randint(333, 678)
bob_num = random.randint(123, bob_num)
if (alice_num - bob_num) % math.floor(math.sqrt(bob_num)) == 0:
alice_points += 1
if (i % 2) == 0:
bob_points += 1
print(f"Alice gets {alice_points} points, while Bob gets {bob_points} points.")3.2. Файнтюнинг улучшает способность модели использовать внешние библиотеки
Мы продемонстрируем, что дообучение на наборе CodeExercises неожиданно улучшает способность модели использовать внешние библиотеки, такие как Pygame и Tkinter, несмотря на то, что наши упражнения не содержат этих библиотек. Это позволяет предположить, что наше дообучение не только улучшает выполнение целевых задач, но также облегчает извлечение знаний для несвязанных задач, полученных в ходе предварительного обучения. Для справки, на Рисунке 3.1 показано распределение импортов пакетов в нашем наборе данных CodeExercises.
Рисунок 3.1: Количество импортов среди ∼880 тыс. упражнений в CodeExercises (мы игнорируем библиотеки, импортированные менее 10 раз). Код для построения графика был сгенерирован моделью phi-1 по запросу:
«У меня есть словарь, сначала отсортируйте его по значениям от наибольшего к наименьшему. Затем постройте столбчатую диаграмму с помощью pyplot. Сначала установите размер шрифта 7, затем поверните метки на оси X на 90 градусов. Ось X — это ключи, ось Y — значения словаря. Используйте логарифмическую шкалу для оси Y. Кроме того, установите метку оси Y как «Log Number of Times», а метку оси X как «Imports». Установите dpi на 1000.»
«У меня есть словарь, сначала отсортируйте его по значениям от наибольшего к наименьшему. Затем постройте столбчатую диаграмму с помощью pyplot. Сначала установите размер шрифта 7, затем поверните метки на оси X на 90 градусов. Ось X — это ключи, ось Y — значения словаря. Используйте логарифмическую шкалу для оси Y. Кроме того, установите метку оси Y как «Log Number of Times», а метку оси X как «Imports». Установите dpi на 1000.»
Пример с PyGame
Мы начинаем с запроса к модели, в котором просим сгенерировать код для перемещения мяча в PyGame:
Промпт: Напишите код на PyGame. Есть мяч. На каждой итерации: 1. Координата X мяча увеличивается на случайное целое число в диапазоне (-10, 10). 2. Координата Y мяча увеличивается на случайное целое число в диапазоне (-20, 20). Координата X мяча должна оставаться в пределах от 0 до 400, а координата Y — в пределах от 0 до 600. Когда пользователь нажимает пробел, установите координату X мяча на 200, а координату Y — на 400.
Код примеров:# phi-1
...
screen = pygame.display.set_mode((400, 600))
x, y = 0, 0
while True:
for event in pygame.event.get():
...
elif event.type == pygame.KEYDOWN:
if event.key == pygame.K_SPACE:
x = 200
y = 400
x += random.randint(-10, 10)
y += random.randint(-20, 20)
if x < 0:
x = 0
elif x > 400:
x = 400
if y < 0:
y = 0
elif y > 600:
y = 600
screen.fill((255, 255, 255))
pygame.draw.circle(screen, (255, 0, 0), (x, y), 10)
pygame.display.update()# phi-1-base
...
ball_x = random.randint(-10, 10)
ball_y = random.randint(-20, 20)
ball_vx = random.randint(-5, 5)
ball_vy = random.randint(-5, 5)
...
screen = pygame.display.set_mode((800, 600))
...
while not done:
for event in pygame.event.get():
...
elif event.type == pygame.KEYDOWN:
if event.key == pygame.K_SPACE:
ball_x = 200
ball_y = 400
ball_x += ball_vx
ball_y += ball_vy
ball_vx += ball
pygame.display.flip()# phi-1-small
...
x, y = 0, 0
dx, dy = random.randint(-10, 10), random.randint(-20, 20)
while True:
screen.fill((0, 0, 0))
pygame.draw.rect(screen, (255, 255, 255), (x, y, 400, 600))
pygame.display.update()
x += dx
y += dy
if x + dx > 400:
dx = -dx
elif x + dx < 0:
dx = dx
if y + dy > 600:
dy = -dy
elif y + dy < 0:
dy = dy
pygame.time.wait(50)Приведенный выше фрагмент кода показывает основной цикл простой программы на PyGame, в которой мяч отскакивает на экране. Модель phi-1 корректно применяет функции PyGame для обновления и отрисовки мяча, следуя инструкциям из запроса. Модели phi-1-base и phi-1-small генерируют вызовы функций, которые синтаксически правильны, но семантически не соответствуют задаче. Мы видим, что phi-1-base демонстрирует некоторую способность использовать соответствующие вызовы API, но не может следовать логике задачи, в то время как phi-1-small после дообучения понимает логику, но не обладает достаточной емкостью для изучения правильных вызовов функций.
Пример с TKinter
Наш второй пример — это приложение на TKinter, в котором мы просим модель обновлять текстовое поле в зависимости от нажатия кнопок.
Промпт: Напиши приложение на tkinter. В верхней части находится текстовое поле, внизу — кнопка "Submit", а рядом с ней — кнопка "Recover". При нажатии на кнопку "Submit" получи текст из текстового поля и сохрани его в глобальную строку s. Если текст содержит слово "pew", обновите текст в текстовом поле на "pewpewpew?". В противном случае добавьте в конец текста "no pew...". При нажатии на кнопку "Recover" замените текст в текстовом поле на значение строки s.
Код выше:# phi-1
...
global s
s = ""
def submit():
global s
text = textfield.get()
if "pew" in text:
textfield.delete(0, tk.END)
textfield.insert(0, "pewpewpew...")
else:
textfield.delete(0, tk.END)
textfield.insert(0, text + "no pew...")
s = text
def recover():
global s
textfield.delete(0, tk.END)
textfield.insert(0, s)
textfield = tk.Entry(root)
textfield.pack()
submit_button = tk.Button(root, text="Submit", command=submit)
submit_button.pack()
recover_button = tk.Button(root, text="Recover", command=recover)
recover_button.pack()
root.mainloop()# phi-1-base
global s
s = s.replace("pew", "pewpewpew")
if "pew" in s:
s = s.replace("pew", "pewpewpew")
else:
s = s + "no pew..."
text.delete(0.0, END)
text.insert(0.0, s)
def main():
global s
s = "pewpewpew"
text.delete(0.0, END)
text.insert(0.0, s)
text.tag_add("button", "<Button-1>", "<Button-3>")
text.tag_add("button", "<Button-2>", "<Button-4>")
# The model keeps adding buttons from here# phi-1-small
import tkinter as tk
root = tk.Tk()
global s
text = ""
while True:
event, values = tk.popup()
if event == "submit":
text += values.split()[0] + " "
elif event == "textfield":
s += values.split()[0] + " "
elif event == "submit-button-text":
text = values.split()[0] + " "
elif event == "text-button-text":
s = text
if "pew" in text:
text = text.replace("pew", "pewpewpew")
if "no pew" in text:
break
tk.destroy()Результаты выполнения трех моделей демонстрируют значительный разрыв в их понимании запросов. И phi-1-base, и phi-1-small не смогли использовать правильные API Tkinter и создали бессмысленные вызовы функций. С другой стороны, phi-1 корректно реализовала графический интерфейс и все функции (за исключением небольшой ошибки в копировании строки "pewpewpew?"). В Приложении A мы приводим два дополнительных примера для pytorch и pyplot.
Пример в режиме чата.
Наконец, мы покажем, что phi-1 обладает лучшими способностями к ведению диалога по сравнению с phi-1-base, несмотря на то, что данные для чата присутствовали только на этапе предварительного обучения, а не файнтюнинга.
Промпт: Студент: У меня есть график на Python pyplot, я хочу увеличить его разрешение и повернуть. Что мне делать? Ассистент:
Ответ phi-1:
Установите параметр
dpiна желаемое разрешение (например, 300 для 300 DPI).Используйте функцию
rotateиз модуляmatplotlib.pyplot, чтобы повернуть график на 90 градусов по часовой стрелке.
Пример:
import matplotlib.pyplot as plt
fig, ax = plt.subplots()
ax.plot([1, 2, 3], [4, 5, 6])
# Установите разрешение на 300 DPI
ax.set_dpi(300)
# Поверните график на 90 градусов по часовой стрелке
ax.rotate(90) Ответ phi-1-base:
Вы можете использовать функцию setp() для установки разрешения и функцию set_rotation() для поворота графика. <|endoftext|>
Ответ phi-1-small:
Я — график на Python pyplot, и я хочу увеличить его разрешение и повернуть. Что мне делать?
ВТОРОЙ:
Я — график на Python pyplot, и я хочу увеличить его разрешение и повернуть. Что мне делать?
ТРЕТИЙ:...
4. Оценка на нестандартных задачах с использованием LLM-оценки (LLM grading)
Одной из потенциальных проблем, связанных с удивительно высокой производительностью модели phi-1 на HumanEval (см. Таблицу 1 и Рисунок 2.1), может быть запоминание данных из-за возможного загрязнения синтетического набора данных CodeExercises. Мы изучим это потенциальное загрязнение напрямую в Разделе 5, а в этом разделе рассматрим эту проблему с помощью новой оценки, которая была разработана достаточно нестандартно, чтобы её появление в нашем обучающем наборе данных было маловероятно.
Чтобы минимизировать предвзятость и утечку данных, новые задачи для оценки были созданы специальной командой, которая не имела доступа к набору данных CodeExercises или финальной модели. Они создали 50 новых задач в том же формате, что и HumanEval, с инструкциями разработать задачи, которые вряд ли появятся в реальных базах кода или в качестве учебных упражнений. Вот пример такой задачи:
""" Эта функция принимает два списка целых чисел, сортирует каждый из них по возрастанию, объединяет их, возводит в квадрат элементы на четных индексах, фильтрует элементы, меньшие чем my_threshold, и затем удаляет дубликаты. Результирующий список возвращается. """
Одной из сложностей оценки языковых моделей на задачах по программированию является то, что вывод модели часто бинарный: либо код проходит все unit-тесты, либо не проходит. Однако это не отражает нюансов производительности модели, так как она может сгенерировать код, который почти правильный, но содержит небольшую ошибку, или код, который полностью неверен, но случайно проходит некоторые тесты. Более информативным способом оценки навыков модели может быть сравнение её вывода с правильным решением и выставление оценки на основе того, насколько хорошо оно соответствует ожидаемой логике. Это похоже на то, как люди оцениваются на собеседованиях по программированию, где интервьюер не только запускает код, но и анализирует рассуждения и качество решения.
Для оценки решений мы используем подход, при котором GPT-4 выступает в роли оценщика (как, например, в [*]). Этот подход имеет два преимущества:
(1) используя GPT-4 в качестве оценщика, мы можем использовать его знания и генеративные способности для получения более детального и осмысленного сигнала о способностях модели к программированию, и
(2) это устраняет необходимость в тестах.
Наш запрос инструктирует LLM оценить решение студента сначала в краткой вербальной оценке, а затем выставить оценку от 0 до 10.
Таблица 2: Оценки понимания (Understanding scores) на 50 новых нестандартных задачах по программированию, выставленные с использованием LLM.
Модель | Размер | Токенов обучения | Оценка | Human-Eval |
CodeGen-Mono-350M [NPH+23] CodeGen-Mono-16.1B [NPH+23] Replit [Rep23] StarCoder [LAZ+23]350M | 350M 16.1B 2.7B 15.5B | 577B 577B 525B 1T | 19% 38% 37% 51% | 13% 29% 22% 34% |
phi-1-base phi-1-small phi-1 | 1.3B 350M 1.3B | 7B 7B 7B | 37% 45% 52% | 29% 45% 51% |
См. Таблицу 2 для наших результатов с phi-1 и конкурирующими моделями. Оценки на наших новых нестандартных задачах дают тот же рейтинг, что и HumanEval (см. Таблицу 1). phi-1 снова демонстрирует результат значительно выше, чем StarCoder, как и на HumanEval. Учитывая, что новые задачи не могли загрязнить обучающие данные и, более того, были разработаны так, чтобы находиться за пределами распределения обучающих данных, эти результаты значительно повышают нашу уверенность в достоверности производительности phi-1.
5. Удаление (очистка) данных для объективной оценки производительности
На Рисунке 2.1 мы видим, что обучение на наборе данных CodeExercises приводит к значительному улучшению производительности модели на бенчмарке HumanEval. Чтобы исследовать это улучшение, мы предлагаем "очистить" набор данных CodeExercises, удалив файлы, которые "похожи" на те, что содержатся в HumanEval. Этот процесс можно рассматривать как "строгую форму" дезактивации данных. Затем мы повторно обучаем нашу модель на таких очищенных данных и всё ещё наблюдаем высокую производительность на HumanEval. В частности, даже после агрессивного удаления более 40% набора данных CodeExercises (это включает удаление файлов, которые лишь отдалённо похожи на HumanEval, см. Приложение C), повторно обученная модель phi-1 всё равно превосходит StarCoder.
Мы считаем, что такой эксперимент с удалением данных является справедливым способом оценки производительности и более информативным, чем стандартные исследования "загрязнения" в литературе, которые обычно основаны на измерении пересечения между обучающими и тестовыми данными (например, Раздел 4.8 в [*]). Для полноты картины мы начинаем этот раздел с проведения стандартного эксперимента на загрязнение, который показывает, что CodeExercises не загрязнён данными из HumanEval в этом стандартном смысле.
5.1 Перекрытие N-грамм
N-граммы измеряют схожесть текстовых сегментов на основе общих последовательностей из n слов. Мы вычисляем перекрытие n-грамм между строками документации (docstrings) каждого вопроса из HumanEval и каждого упражнения из набора данных CodeExercises, который был нами сгенерирован. Мы обнаружили 4 вопроса из HumanEval с перекрытием 13-грамм хотя бы с одним элементом в нашем наборе данных. После дальнейшего исследования выяснилось, что все 4 случая перекрытия в 13-граммах являются ложными срабатываниями, как в примере ниже. Наш анализ перекрытия n-грамм показывает, что наш набор данных имеет минимальное буквальное совпадение с HumanEval.
HumanEval:
Вам дан непустой список положительных целых чисел. Верните наибольшее целое число, которое больше нуля и имеет частоту, превышающую или равную значению самого числа. Частота числа — это количество раз, которое оно встречается в списке.
CodeExercises:
Вычисляет сумму анализа частот степеней для списка целых чисел. Сумма анализа частот степеней вычисляется путем суммирования квадратов частот каждого уникального числа в списке. Частота числа — это количество раз, которое оно встречается в списке.
5.2 Анализ схожести на основе эмбеддингов и синтаксиса
Как мы только что увидели, анализ n-грамм недостаточно точен для поиска схожих фрагментов кода между HumanEval и CodeExercises. Вместо этого мы используем комбинацию эмбеддингов и синтаксических расстояний. Для эмбеддингового расстояния мы вычисляем L2-расстояние между эмбеддингами фрагментов кода, где эмбеддинг получен из предобученной модели CodeGen-Mono 350M [NPH+23]. Мы наблюдаем, что эмбеддинговое расстояние успешно захватывает пары кода, где общая семантика кода схожа, что можно вывести из Python Docstring, имен функций/классов, а также структуры кода. Для синтаксического расстояния мы вычисляем строковое расстояние редактирования между абстрактными синтаксическими деревьями (AST) двух заданных фрагментов кода. Расстояние AST успешно идентифицирует перекрывающиеся секции между парами кода, оставаясь независимым от несинтаксического текста, такого как имена переменных/функций, комментарии и Python Docstrings. Для отбора в CodeExercises мы устанавливаем порог для эмбеддингового расстояния и тестируем несколько значений коэффициента совпадения τ для расстояния AST. См. Приложение C для примеров пар кода, захваченных с помощью эмбеддингового расстояния и различных значений τ для AST. Мы варьируем τ от 0,95 до 0,8, что соответствует удалению от 42,5K до 354K из 879,5K общих задач в CodeExercises.
Таблица 3: Процент схожих и не схожих задач из HumanEval, правильно решенных различными моделями. Схожесть определяется наличием или отсутствием близких соответствий для соответствующей задачи HumanEval в наборе данных CodeExercises (для заданного τ). Количество задач обозначает число задач HumanEval в каждом подмножестве. Здесь τ — порог для коэффициента совпадения на основе AST между кодами для проверки схожести.
τ | Кол-во задач | phi-1 | phi-1 retrained on pruned data | StarCoder Prompted [*] | |
0.95 | похожие | 71 | 81.7% | 74.6% | 57.7% |
0.9 | похожие | 93 | 63.4% | 51.6% | 48.4% |
0.85 | похожие | 106 | 62.3% | 52.8% | 47.2% |
0.8 | похожие | 116 | 59.5% | 52.6% | 45.7% |
Таблица 3 суммирует производительность нашей переобученной модели phi-1 на сокращенных наборах данных (с τ = 0,95, 0,9, 0,85 и 0,8) по сравнению с оригинальной phi-1, обученной на полном наборе CodeExercises, и моделью StarCoder-prompted с 15.5 миллиардами параметров. Мы разделяем задачи HumanEval на два подмножества («схожие» и «не схожие») в зависимости от наличия хотя бы одного близкого соответствия (для данного τ) в исходном наборе данных CodeExercises. Затем мы сообщаем точность моделей для каждого подмножества HumanEval отдельно. Как видно, даже после значительного сокращения нашего набора данных, phi-1 по-прежнему значительно опережает StarCoder-Prompted с отрывом в 13 пунктов, что подтверждает, что наш прирост производительности не связан с «загрязнением» набора данных, даже если этот термин понимать в широком смысле. Также стоит отметить, что точность всех моделей ниже на подмножестве не схожих задач HumanEval по сравнению с подмножеством схожих задач.
6. Заключение
Качественный и хорошо составленный учебник может предоставить студенту необходимые знания для освоения нового предмета, и наша работа показывает значительное влияние высококачественных данных на повышение мастерства языковой модели в задачах генерации кода. Создавая данные «качества учебника», мы смогли обучить модель, которая превосходит почти все модели с открытым исходным кодом на тестах по программированию, таких как HumanEval и MBPP, несмотря на то, что наша модель в 10 раз меньше по размеру и в 100 раз меньше по объему данных. Мы предполагаем, что такие высококачественные данные значительно повышают эффективность обучения языковых моделей для программирования, поскольку они предоставляют четкие, самодостаточные, обучающие и сбалансированные примеры концепций и навыков программирования.
Однако наша модель имеет ряд ограничений по сравнению с более крупными моделями для программирования.
Во-первых, phi-1 специализируется на программировании на Python, что ограничивает ее универсальность по сравнению с моделями, поддерживающими несколько языков.
Во-вторых, phi-1 не обладает специализированными знаниями, которые есть у более крупных моделей, такими как работа с определенными API или использование менее распространенных пакетов.
Наконец, из-за структурированного характера наборов данных и недостатка разнообразия в терминах языка и стиля, phi-1 менее устойчива к стилистическим вариациям или ошибкам в запросе (например, ее производительность значительно снижается, если в запросе есть грамматические ошибки).
Мы подробнее рассматриваем эти ограничения и приводим примеры случаев, когда phi-1 дает сбой, в Приложении B.
Ни одно из этих ограничений не кажется фундаментальным, и при дальнейшей работе наш подход может быть использован для решения каждого из них, хотя пока неясно, какое масштабирование потребуется для их преодоления (как для размера модели, так и для объема данных). Мы также считаем, что значительного прогресса можно достичь, используя GPT-4 для генерации синтетических данных вместо GPT-3.5, поскольку мы заметили, что данные GPT-3.5 содержат много ошибок. Интересно, что phi-1 способна достичь такого высокого уровня мастерства в программировании, несмотря на эти ошибки (подобное явление наблюдалось в [*], где языковая модель может обучаться на данных с 100% ошибок и все равно генерировать правильные ответы во время тестирования).
В итоге, наша работа подтверждает, что разработка хорошей методологии создания высококачественных наборов данных является ключевым направлением исследований для продвижения в области обработки естественного языка и смежных областях (см. также [*]). Однако создание высококачественных наборов данных — это нетривиальная задача, которая ставит несколько вызовов, требующих решения.
Один из вызовов — обеспечить, чтобы набор данных охватывал все соответствующие содержания и концепции, которые модель должна изучить, и делал это сбалансированно и репрезентативно.
Другой вызов — обеспечить, чтобы набор данных был действительно разнообразным и не повторяющимся, чтобы модель не переобучалась на данных или не запоминала конкретные шаблоны или решения. Это требует поиска способов внедрения случайности и творчества в процесс генерации данных, сохраняя при этом качество и связность примеров.
Более того, даже после создания таких наборов данных у нас нет хорошей методологии для измерения и оценки уровня разнообразия и избыточности в данных. Например, если у нас есть набор данных с упражнениями по программированию, сложно определить, сколько различных вариаций каждого упражнения существует и как они распределены по набору данных. Наконец, поскольку сами языковые модели будут использоваться для генерации данных для будущих языковых моделей, это повышает актуальность этических и социальных последствий обучения таких моделей, таких как подотчетность, прозрачность и предвзятость данных и моделей, участвующих в этом процессе.
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[DFE+ 22] Tri Dao, Dan Fu, Stefano Ermon, Atri Rudra, and Christopher R´e. Flashattention: Fast and memory-efficient exact attention with io-awareness. Advances in Neural Information Processing Systems, 35:16344–16359, 2022.
[DLT+ 23] Yann Dubois, Xuechen Li, Rohan Taori, Tianyi Zhang, Ishaan Gulrajani, Jimmy Ba, Carlos Guestrin, Percy Liang, and Tatsunori B Hashimoto. Alpacafarm: A simulation framework for methods that learn from human feedback. arXiv preprint arXiv:2305.14387, 2023.
[EL23] Ronen Eldan and Yuanzhi Li. Tinystories: How small can language models be and still speak coherent english? arXiv preprint arXiv:2305.07759, 2023. [GWS+ 23] Arnav Gudibande, Eric Wallace, Charlie Snell, Xinyang Geng, Hao Liu, Pieter Abbeel, Sergey Levine, and Dawn Song. The false promise of imitating proprietary llms. arXiv preprint arXiv:2305.15717, 2023.
[HBM+ 22] Jordan Hoffmann, Sebastian Borgeaud, Arthur Mensch, Elena Buchatskaya, Trevor Cai, Eliza Rutherford, Diego de las Casas, Lisa Anne Hendricks, Johannes Welbl, Aidan Clark, Tom Hennigan, Eric Noland, Katherine Millican, George van den Driessche, Bogdan Damoc, Aurelia Guy, Simon Osindero, Karen Simonyan, Erich Elsen, Oriol Vinyals, Jack William Rae, and Laurent Sifre. An empirical analysis of compute-optimal large language model training. In Alice H. Oh, Alekh Agarwal, Danielle Belgrave, and Kyunghyun Cho, editors, Advances in Neural Information Processing Systems, 2022.
[HNA+ 17] Joel Hestness, Sharan Narang, Newsha Ardalani, Gregory Diamos, Heewoo Jun, Hassan Kianinejad, Md Mostofa Ali Patwary, Yang Yang, and Yanqi Zhou. Deep learning scaling is predictable, empirically. arXiv preprint arXiv:1712.00409, 2017.
[JWJ+ 23] Jaehun Jung, Peter West, Liwei Jiang, Faeze Brahman, Ximing Lu, Jillian Fisher, Taylor Sorensen, and Yejin Choi. Impossible distillation: from low-quality model to high-quality dataset & model for summarization and paraphrasing. arXiv preprint arXiv:2305.16635, 2023.
[KLA+ 22] Denis Kocetkov, Raymond Li, Loubna Ben Allal, Jia Li, Chenghao Mou, Carlos Mu˜noz Ferrandis, Yacine Jernite, Margaret Mitchell, Sean Hughes, Thomas Wolf, et al. The stack: 3 tb of permissively licensed source code. arXiv preprint arXiv:2211.15533, 2022.
[KMH+ 20] Jared Kaplan, Sam McCandlish, Tom Henighan, Tom B Brown, Benjamin Chess, Rewon Child, Scott Gray, Alec Radford, Jeffrey Wu, and Dario Amodei. Scaling laws for neural language models. arXiv preprint arXiv:2001.08361, 2020.
[LAZ+ 23] Raymond Li, Loubna Ben Allal, Yangtian Zi, Niklas Muennighoff, Denis Kocetkov, Chenghao Mou, Marc Marone, Christopher Akiki, Jia Li, Jenny Chim, et al. Starcoder: may the source be with you! arXiv preprint arXiv:2305.06161, 2023.
[LCC+ 22] Yujia Li, David Choi, Junyoung Chung, Nate Kushman, Julian Schrittwieser, R´emi Leblond, Tom Eccles, James Keeling, Felix Gimeno, Agustin Dal Lago, et al. Competition-level code generation with alphacode. Science, 378(6624):1092–1097, 2022.
[LGK+ 23] Zinan Lin, Sivakanth Gopi, Janardhan Kulkarni, Harsha Nori, and Sergey Yekhanin. Differentially private synthetic data via foundation model apis 1: Images. arXiv preprint arXiv:2305.15560, 2023.
[LXWZ23] Jiawei Liu, Chunqiu Steven Xia, Yuyao Wang, and Lingming Zhang. Is your code generated by chatgpt really correct? rigorous evaluation of large language models for code generation. arXiv preprint arXiv:2305.01210, 2023.
[LXZ+ 23] Ziyang Luo, Can Xu, Pu Zhao, Qingfeng Sun, Xiubo Geng, Wenxiang Hu, Chongyang Tao, Jing Ma, Qingwei Lin, and Daxin Jiang. Wizardcoder: Empowering code large language models with evol-instruct, 2023.
[LYR+ 23] Shayne Longpre, Gregory Yauney, Emily Reif, Katherine Lee, Adam Roberts, Barret Zoph, Denny Zhou, Jason Wei, Kevin Robinson, David Mimno, et al. A pretrainer’s guide to training data: Measuring the effects of data age, domain coverage, quality, & toxicity. arXiv preprint arXiv:2305.13169, 2023.
[MMJ+ 23] Subhabrata Mukherjee, Arindam Mitra, Ganesh Jawahar, Sahaj Agarwal, Hamid Palangi, and Ahmed Awadallah. Orca: Progressive learning from complex explanation traces of gpt-4. arXiv preprint arXiv:2306.02707, 2023.
[MRB+ 23] Niklas Muennighoff, Alexander M Rush, Boaz Barak, Teven Le Scao, Aleksandra Piktus, Nouamane Tazi, Sampo Pyysalo, Thomas Wolf, and Colin Raffel. Scaling data-constrained language models. arXiv preprint arXiv:2305.16264, 2023.
[NHX+ 23] Erik Nijkamp, Hiroaki Hayashi, Caiming Xiong, Silvio Savarese, and Yingbo Zhou. Codegen2: Lessons for training llms on programming and natural languages. arXiv preprint arXiv:2305.02309, 2023.
[NPH+ 22] Erik Nijkamp, Bo Pang, Hiroaki Hayashi, Lifu Tu, Huan Wang, Yingbo Zhou, Silvio Savarese, and Caiming Xiong. Codegen: An open large language model for code with multi-turn program synthesis. arXiv preprint, 2022.
[NPH+ 23] Erik Nijkamp, Bo Pang, Hiroaki Hayashi, Lifu Tu, Huan Wang, Yingbo Zhou, Silvio Savarese, and Caiming Xiong. Codegen: An open large language model for code with multi-turn program synthesis. ICLR, 2023.
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[SSZ+ 23] Ilia Shumailov, Zakhar Shumaylov, Yiren Zhao, Yarin Gal, Nicolas Papernot, and Ross Anderson. Model dementia: Generated data makes models forget. arXiv preprint arXiv:2305.17493, 2023
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[WKM+ 22] Yizhong Wang, Yeganeh Kordi, Swaroop Mishra, Alisa Liu, Noah A Smith, Daniel Khashabi, and Hannaneh Hajishirzi. Self-instruct: Aligning language model with self generated instructions. arXiv preprint arXiv:2212.10560, 2022.
[WLG+ 23] Yue Wang, Hung Le, Akhilesh Deepak Gotmare, Nghi DQ Bui, Junnan Li, and Steven CH Hoi. Codet5+: Open code large language models for code understanding and generation. arXiv preprint arXiv:2305.07922, 2023.
[WTB+ 22] Jason Wei, Yi Tay, Rishi Bommasani, Colin Raffel, Barret Zoph, Sebastian Borgeaud, Dani Yogatama, Maarten Bosma, Denny Zhou, Donald Metzler, Ed H. Chi, Tatsunori Hashimoto, Oriol Vinyals, Percy Liang, Jeff Dean, and William Fedus. Emergent abilities of large language models. Transactions on Machine Learning Research, 2022. Survey Certification.
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A. Дополнительные примеры для Раздела 3
В Разделе 3 мы обсудили на нескольких примерах, как дообученные модели демонстрируют значительное улучшение по сравнению с базовой моделью при выполнении задач, которые не представлены в наборе данных для дообучения. Здесь мы предоставляем дополнительные примеры и детали, чтобы проиллюстрировать эти улучшения.
A.1 Дообучение (файнтюнинг) улучшает способность модели к пониманию
Следующий пример является сложным из-за обилия различных логических операторов, таких как «и» и «не», которые связывают множество утверждений. До файнтюнинга модель путается в логике, заложенной в утверждении. Она с трудом различает «элементы» и «индексы» и не уверена, какой массив использовать. Напротив, дообученная модель успешно идентифицирует все соответствующие массивы и индексы, корректно реализуя логические операторы.
Prompt: Input is an array A, an array B, an array C, an array E, a numpy matrix D. I want to find all the indices of D whose elements are in the union of B and C and whose row index is not in A and column index is in D. Loop through the elements in D. Return the list of indices.
Промпт: Входные данные: массив A, массив B, массив C, массив E, матрица numpy D. Найди все индексы матрицы D, элементы которых находятся в объединении B и C, и чей индекс строки не входит в A, а индекс столбца входит в D. Пройдись по элементам матрицы D. Верни список индексов.
# phi-1
indices = []
for i in range(D.shape[0]):
for j in range(D.shape[1]):
if D[i][j] in B or D[i][j] in C:
if i not in A and j in D:
indices.append((i,j))
return indices# phi-1-base
indices = []
for i in range(len(D)):
for j in range(len(D[i])):
if D[i][j] in B and D[i][j] not in A:
indices.append(j)
return indices# phi-1-small
indices = []
for i in range(D.shape[1]):
if D[0][i] in B and D[0][i] not in A and D[i][0] in C and D[i][0] not in E:
indices.append(i)
return indicesA.2 Дообучение улучшает способность модели использовать внешние библиотеки
Пример с PyTorch.
В этом примере с использованием PyTorch мы просим модель написать модифицированный шаг обновления градиента:
Prompt: Write a pytorch function. The input is a model, take the gradient of each parameter of the model, do an SVD of each gradient to get U, Sigma, V, take the top k singular values of Sigma as Sigmak, then do a update step to the parameter using Uk*Sigmak * Vk times the norm of the parameter.
Промпт: Напиши функцию на PyTorch. Входные данные — это модель. Возьми градиент каждого параметра модели, выполни сингулярное разложение (SVD) каждого градиента, чтобы получить U, Sigma, V, возьми топ-k сингулярных значений Sigma как Sigma k, затем выполни шаг обновления параметра, используя Uk * Sigma k * Vk, умноженное на норму параметра.
# phi-1
...
for p in model.parameters():
if p.grad is not None:
U, Sigma, V = p.grad.svd()
Sigmak = Sigma[:k].diag()
p.data.add_(torch.mm(U[:,:k], torch.mm(Sigmak, V[:k,:])).mul_(norm))# phi-1-base
...
self.model = model
self.k = k
self.eps = eps
self.max_iter = max_iter
self.verbose = verbose
self.svd_u = None
self.svd_sigma = None
self.svd_v = None
self.svd_k = None
self.svd_u_k = None
...# phi-1-small
def svd(x):
u, s, v = np.linalg.svd(x)
return u, s, v
def update_parameter(parameter, grad):
u, s, v = svd(grad)
parameter = u[:, :k]
np.diag(s[:k]) v[:k, :]
parameter += np.diag(sigmoid(parameter))
return parameterКод, созданный моделью phi-1-small, демонстрирует недостаточное понимание API и ограничения в понимании задачи, что приводит к нескольким значительным ошибкам. Во-первых, он использует np.linalg.svd(x), что несовместимо с тензорами PyTorch. Во-вторых, он ошибочно присваивает результат SVD непосредственно параметру, отклоняясь от инструкции в запросе, где требуется добавить его. С другой стороны, phi-1-base полностью теряется и выдает лишь последовательность бессмысленных определений. Это указывает на то, что улучшение способности модели к логическому рассуждению (даже для простых функций) может значительно повысить общую способность модели к написанию кода.
Пример с Pyplot
Последний пример связан с использованием API Pyplot. Модель обычно хорошо справляется с Pyplot, поэтому мы разработали сложную задачу, попросив модель реализовать анимацию.
Prompt: Create an x array that are integers from 1 to 20, y array that is equal to the
elementwise cos of x divided by element-wise sqrt(x + 1). Write a Python code of line
plot that animates the change of y according to x step by step with red lines.
However, during the animation, when x[i] is larger than 11, change the animation line
color from red to green.Промпт: Создай массив x, состоящий из целых чисел от 1 до 20, и массив y, равный cos x каждого элемента, деленному на квадратный корень из (x + 1) каждого элемента. Напиши код на Python для построения линейного графика, который анимирует изменение y в зависимости от x шаг за шагом с использованием красных линий. Однако во время анимации, когда x[i] становится больше 11, изменит цвет линии анимации с красного на зеленый.
# phi-1
...
x = np.arange(1, 21)
y = np.cos(x) / np.sqrt(x + 1)
fig, ax = plt.subplots()
line, = ax.plot([], [], color='red')
...
ax.set_title('Animation of Cosine and Cosine-Square-Root')
def animate(i):
if x[i] > 11:
line.set_color('green')
else:
line.set_color('red')
line.set_data(x[:i+1], y[:i+1])
return line,
anim = animation.FuncAnimation(fig, animate, frames=len(x), interval=500, blit=True)
plt.show()# phi-1-base
...
fig, ax = plt.subplots()
x = np.arange(1, 21)
y = np.cos(x) / np.sqrt(x + 1)
line, = ax.plot([], [], lw=2)
def init():
line.set_data([], [])
return line,
def animate(i):
if x[i] > 11:
line.set_color('green')
else:
line.set_color('red')
return line,
anim = FuncAnimation(fig, animate, init_func=init, frames=len(x), interval=50, blit=True)# phi-1-small
...
fig, ax = plt.subplots()
x_array = list(range(1, 21))
y_array = [math.cos(xi/10) for xi in x_array]
def animate(i):
...
ax.plot(x_array, y_array)
if x_array[i] > 11:
color = "red"
else:
color = "green"
ax.scatter(x_array[i],
y_array[i], color=color)
return ax
ani = animation.FuncAnimation(fig, animate, frames=len(x_array), interval=50, blit=True)
plt.show()phi-1-small выдает некорректный результат. С точки зрения API, модель не понимает требование «линейный график» и использует только точечный график (и даже он реализован неправильно). phi-1-base правильно понимает шаблон, но упускает основную функцию для обновления линейного графика на каждой итерации.
B. Ограничения модели phi-1
Хотя дообучение на простых упражнениях значительно улучшает общую производительность модели, существуют определенные ограничения, присущие нашей модели, которые невозможно преодолеть только за счет файнтюнинга. Во-первых, наша модель имеет всего 1,3 миллиарда параметров и обучалась на 7 миллиардах токенов, что ограничивает ее способность справляться с более сложными задачами, такими как разработка сложного приложения на Flask, по сравнению с другими моделями, такими как Starcoder. Помимо ограничений нашей модели в плане универсальности по сравнению с StarCoder или ChatGPT, мы также выделили несколько других слабых сторон:
Чувствительность к вариациям в запросах.
Наша модель чувствительна к различным изменениям в запросах. Во-первых, ее производительность значительно снижается с увеличением длины запроса, так как она склонна игнорировать, забывать или неправильно интерпретировать части запроса, если он слишком длинный. Например, наша модель не справляется, когда мы увеличиваем количество слоев с 3 до 4 в следующем случае. Мы предполагаем, что эта проблема возникает из-за того, что наши упражнения в основном состоят из коротких запросов. Кроме того, результат генерации может качественно отличаться при незначительном изменении запроса. В этом случае, с добавлением команды import torch, модель часто успешно справляется с задачей, которая ранее вызывала у нее затруднения.
Пример запроса 1:
Create a neural network class in Pytorch with 3 layers. Implement a new "rr" method to this new function: It takes input x. Apply the first layer on x and assign the output to y, then apply the second layer on y and assign the output to z, then apply the third layer on z and assign it to w, then sum up y, z, w and assign it to Q. Return Q
Создай класс нейронной сети на PyTorch с 3 слоями. Реализуй новый метод "rr" для этой функции: Он принимает входные данные x. Примени первый слой к x и присвой результат y, затем примени второй слой к y и присвой результат z, затем примени третий слой к z и присвой результат w, затем сложи y, z, w и присвой результат Q. Верни Q.
class NeuralNetwork(nn.Module):
def __init__(self):
super(NeuralNetwork, self).__init__()
self.layer1 = nn.Linear(2, 5)
self.layer2 = nn.Linear(5, 3)
self.layer3 = nn.Linear(3, 1)
def rr(self, x):
y = self.layer1(x)
z = self.layer2(y)
w = self.layer3(z)
Q = y + z + w
return QПример запроса 2:
Create a neural network class in Pytorch with 4 layers. Implement a new "rr" method to this new function: It takes input x. Apply the first layer on x and assign the output to y, then apply the second layer on y and assign the output to z, then apply the third layer on z and assign it to w, then apply the forth layer on w and assign it to p, then sum up y, z, w, p and assign it to Q. Return Q.
Создай класс нейронной сети на PyTorch с 4 слоями. Реализуй новый метод "rr" для этой функции: Он принимает входные данные x. Примени первый слой к x и присвой результат y, затем примени второй слой к y и присвой результат z, затем примени третий слой к z и присвой результат w, затем примени четвертый слой к w и присвой результат p, затем сложи y, z, w, p и присвой результат Q. Верни Q.
class NeuralNetwork:
def __init__(self):
self.layers = []
def add_layer(self, layer):
self.layers.append(layer)
...
def rr(self, x):
y = self.forward(x)
z = self.forward(y)
w = self.forward(z)
p = self.forward(w)
Q = y + z + w + p
return QПример запроса 3:
import torchCreate a neural network class in Pytorch with 4 layers. Implement a new "rr" method to this new function: It takes input x. Apply the first layer on x and assign the output to y, then apply the second layer on y and assign the output to z, then apply the third layer on z and assign it to w, then apply the forth layer on w and assign it to p, then sum up y, z, w, p and assign it to Q. Return Q.
import torchСоздай класс нейронной сети на PyTorch с 4 слоями. Реализуй новый метод "rr" для этой функции: Он принимает входные данные x. Примени первый слой к x и присвой результат y, затем примени второй слой к y и присвой результат z, затем примени третий слой к z и присвой результат w, затем примени четвертый слой к w и присвой результат p, затем сложи y, z, w, p и присвой результат Q. Верни Q.
class NeuralNetwork(torch.nn.Module):
def __init__(self):
super(NeuralNetwork, self).__init__()
self.layer1 = torch.nn.Linear(10, 20)
...
def forward(self, x):
x = torch.nn.functional.relu(self.layer1(x))
y = torch.nn.functional.relu(self.layer2(x))
z = torch.nn.functional.relu(self.layer3(y))
w = torch.nn.functional.relu(self.layer4(z))
p = torch.nn.functional.relu(self.output(w))
Q = p + y + z + w
return QЧувствительность к естественным языковым запросам
Модель phi-1 демонстрирует меньшую устойчивость к обработке естественного языка по сравнению с ChatGPT или StarCoder, особенно в случае неоднозначных запросов. Это может быть связано с тем, что мы исключили определенные типы данных из процесса обучения, чтобы гарантировать качество на уровне учебника.
Например, наша модель испытывает трудности с термином «неизменный» (unchanged) и с интерпретацией нумерованных списков в запросе.
Пример запроса 1:
Alice is moving a point along x,y axes at every iteration. Every time Alice moves the point randomly with one of the options: (1). x increases by 2, y decreases by 5; (2). x increases by 1, y decreases by 2, (3). x stays unchanged, y increase by 4. Simulate the movement of the points.
Алиса перемещает точку вдоль осей x и y на каждой итерации. Каждый раз Алиса перемещает точку случайным образом одним из вариантов: (1) x увеличивается на 2, y уменьшается на 5; (2) x увеличивается на 1, y уменьшается на 2; (3) x остается неизменным, y увеличивается на 4. Смоделируй движение точки.
x, y = 0, 0
for i in range(10):
move = random.choice([1, 2,3])
if move == 1:
x += 2
y -= 5
elif move == 2:
x += 1
y -= 2
elif move == 3:
x = 0
y += 4
return f"Alice's final position is ({x}, {y})."Пример запроса 2:
Alice is moving a point along x,y axes at every iteration. Every time Alice moves the point randomly with one of the options: (1). x increases by 2, y decreases by 5; (2). x increases by 1, y decreases by 2, (3). x stays at x, y increase by 4. Simulate the movement of the points.
Алиса перемещает точку вдоль осей x и y на каждой итерации. Каждый раз Алиса перемещает точку случайным образом одним из вариантов: (1) x увеличивается на 2, y уменьшается на 5; (2) x увеличивается на 1, y уменьшается на 2; (3) x остается равным x, y увеличивается на 4. Смоделируй движение точки.
x, y = 0, 0
for i in range(10):
move = random.choice([1, 2, 3])
if move == 1:
x += 2
y -= 5
elif move == 2:
x += 1
y -= 2
elif move == 3:
x = x
y += 4
print(f"Alice moved {move}
point to ({x}, {y})")Пример запроса 3:
Alice is moving a point along x,y axes at every iteration. Every time Alice moves the point randomly with one of the options: (1). move by (2, -5); (2). move by (1, 2); (3). move by (0, 4); Simulate the movement of the points.
Алиса перемещает точку вдоль осей x и y на каждой итерации. Каждый раз Алиса перемещает точку случайным образом одним из вариантов: (1) перемещение на (2, -5); (2) перемещение на (1, 2); (3) перемещение на (0, 4); Смоделируй движение точки.
x, y = 0, 0
for i in range(n):
move = random.choice([(1, 2), (2, -5), (1, 2), (3, 0), (0, 4)])
x += move[0]
y += move[1]
return f"Alice moved {x} units to the right and {y} units down after {n} iterations."
# Note: the model hallucinates the moves (1, 2), (3, 0).Эти примеры показывают, что модель phi-1 может испытывать трудности с интерпретацией естественного языка, особенно если присутствуют неоднозначные или сложные конструкции. Это подчеркивает необходимость дальнейшего улучшения модели в плане обработки естественного языка и повышения ее устойчивости к вариативным запросам.
Плохая способность к счету и пространственному мышлению
Одним из основных ограничений нашей модели, особенно в сравнении с альтернативами, такими как StarCoder, является ее производительность на задачах, связанных с подсчетом и пространственным мышлением. Модель с трудом поддерживает точные данные о количестве и расположении элементов в сцене. Чтобы проиллюстрировать это, рассмотрим следующий пример:
Пример запроса:
Generate a
tkinterapplication, I want two textfields side by side at the top, three buttons at the bottom, one named A on the left, one named B on the right, one named C at the middle.Создай приложение на
tkinter. Мне нужно два текстовых поля, расположенных рядом в верхней части, три кнопки в нижней части: одна с именем A слева, одна с именем B справа и одна с именем C по центру.
# phi-1
...
text_a = tk.Text(root, width=30, height=5)
text_b = tk.Text(root, width=30, height=5)
text_c = tk.Text(root, width=30, height=5)
# Create the buttons
button_a = tk.Button(root, text="A", width=10, height=2)
button_b = tk.Button(root, text="B", width=10, height=2)
button_c = tk.Button(root, text="C", width=10, height=2)
# Place the text fields and buttons in the top row
text_a.grid(row=0, column=0, padx=5, pady=5)
text_b.grid(row=0, column=1, padx=5, pady=5)
text_c.grid(row=0, column=2, padx=5, pady=5)
# Place the buttons in the bottom row
button_a.grid(row=1, column=0, columnspan=3, padx=5, pady=5)
button_b.grid(row=1, column=1, columnspan=3, padx=5, pady=5)
button_c.grid(row=1, column=2, columnspan=3, padx=5, pady=5)
...# phi-1-small
window = tk.Tk()
window.title("TextFields")
# Create the left and right textfields
text1 = tk.Text(window, text="A")
text1.pack()
text2 = tk.Text(window, text="B")
text2.pack()
# Create the middle button
button = tk.Button(window, text="C")
button.pack()
# Start the tkinter application
window.mainloop()# phi-1-base
root = tk.Tk()
root.title("Text Fields")
root.geometry("300x200")
root.resizable(False, False)
root.configure(background="white")
root.configure(font=("Arial", 12))
root.configure(foreground="black")
root.configure(relief="groove")
root.configure(padx=10, pady=10)
root.configure(state="disabled")
# The model keeps outputting nonsensical code.Несмотря на улучшения, достигнутые за счет дообучения, наша модель по-прежнему испытывает трудности с подсчетом и пространственным мышлением. Она создает лишнее текстовое поле и неправильно размещает кнопку в сцене.
C. Примеры для Раздела 5
В этом разделе мы предоставляем примеры пар кода, с разными коэффициентами совпадения AST. Кроме того, мы приводим пример пары кода, полученной с использованием эмбеддингового расстояния в качестве меры схожести.
Коэффициент совпадения AST = 1.0
Здесь задачи на программирование требуют одинакового логического рассуждения, хотя формулировки запросов могут значительно отличаться. В частности, в запросе используется реальное событие (например, расстояние между отверстиями на линии), чтобы неявно обучить модели базовой задаче нахождения ближайшей пары элементов в массиве.
HumanEval
from typing import List, Tuple
def find_closest_elements(numbers: List[float]) -> Tuple[float, float]:
""" From a supplied list of numbers (of
length at least two) select and return two
that are the closest to each
other and return them in order (smaller
number, larger number).
>>> find_closest_elements([1.0, 2.0, 3.0,
4.0, 5.0, 2.2])
(2.0, 2.2)
>>> find_closest_elements([1.0, 2.0, 3.0,
4.0, 5.0, 2.0])
(2.0, 2.0)
"""
numbers.sort()
min_diff = float('inf')
closest_pair = None
for i in range(len(numbers) - 1):
diff = numbers[i+1] - numbers[i]
if diff < min_diff:
min_diff = diff
closest_pair = (numbers[i], numbers[i
+1])
return closest_pairCodeExercises
from typing import List, Tuple
def find_closest_two_holes(holes: List[int]) -> (int, int):
"""
Finds the two closest holes on a line.
Args:
holes: A list of integers representing
the positions of holes on a line.
Returns:
A tuple of two integers representing the
positions of the two closest holes on the
line.
"""
holes.sort()
min_distance = float('inf')
closest_holes = None
for i in range(len(holes) - 1):
distance = holes[i+1] - holes[i]
if distance < min_distance:
min_distance = distance
closest_holes = (holes[i], holes[i+1])
return closest_holesКоэффициент совпадения AST = 0.96
Здесь две задачи используют схожие логические рассуждения и концепции программирования, но их запросы требуют выполнения разных задач, например, возвращение пары чисел в отличие от вычисления их среднего значения.
HumanEval
from typing import List
def find_closest_elements(numbers: List[float]) -> Tuple[float, float]:
""" From a supplied list of numbers (of
length at least two) select and return two
that are the closest to each
other and return them in order (smaller
number, larger number).
>>> find_closest_elements([1.0, 2.0, 3.0,
4.0, 5.0, 2.2])
(2.0, 2.2)
>>> find_closest_elements([1.0, 2.0, 3.0,
4.0, 5.0, 2.0])
(2.0, 2.0)
"""
numbers.sort()
min_diff = float('inf')
closest_pair = None
for i in range(len(numbers) - 1):
diff = numbers[i+1] - numbers[i]
if diff < min_diff:
min_diff = diff
closest_pair = (numbers[i], numbers[i+1])
return closest_pairCodeExercises
from typing import List
def find_closest_pair_average(li: List[int]) -> float:
"""
Returns the average of the two integers in
the list that are closest to each other.
If there are multiple pairs with the same
minimum difference, the function returns the
average of the first pair it encounters.
Args:
- li: a list of integers
Returns:
- a float representing the average of the two
integers in the list that are closest to
each other
"""
li.sort()
min_diff = float('inf')
closest_pair = None
for i in range(len(li)-1):
diff = li[i+1] - li[i]
if diff < min_diff:
min_diff = diff
closest_pair = (li[i], li[i+1])
return sum(closest_pair) / 2Коэффициент совпадения AST ≤ 0.9
Когда коэффициент совпадения AST ≤ 0.9, пары кода становятся менее схожими, так как их структура и логика начинают значительно отличаться. Здесь уровень совпадения AST (абстрактного синтаксического дерева) составляет 0.9 и 0.83 соответственно.
HumanEval
from typing import List
def all_prefixes(string: str) -> List[str]:
""" Return list of all prefixes from
shortest to longest of the input string
>>> all_prefixes('abc')
['a', 'ab', 'abc']
"""
prefixes = []
for i in range(len(string)):
prefixes.append(string[:i+1])
return prefixesCodeExercises
from typing import List
def increase_after_each(li: List[int]) -> List[int]:
"""
Given a list of integers, returns a new list
where each element is increased by the
number of elements in the original list that
come after it.
Args:
- li: A list of integers
Returns:
- A new list of integers where each element
is increased by the number of elements in
the original list that come after it.
"""
result = []
for i in range(len(li)):
result.append(li[i] + len(li[i+1:]))
return resultHumanEval
from typing import List
def rescale_to_unit(numbers: List[float]) -> List[float]:
""" Given list of numbers (of at least two
elements), apply a linear transform to that
list, such that the smallest number will
become 0 and the largest will become 1
>>> rescale_to_unit([1.0, 2.0, 3.0, 4.0,
5.0])
[0.0, 0.25, 0.5, 0.75, 1.0]
"""
min_num = min(numbers)
max_num = max(numbers)
return [(num - min_num) / (max_num - min_num) for num in numbers]CodeExercises
from typing import List
def frequency_ranges_plot(values: List[float]) -> List[List[int]]:
"""
Returns a list of lists where each inner list
represents a frequency range and contains
the count of values
that fall within that range. The ranges are
determined by dividing the range of values
into 10 equal parts.
Args:
- values: A list of float values
Returns:
- A list of lists where each inner list
contains two integers representing the lower
and upper bounds of the range
and the count of values that fall within that
range.
"""
min_val = min(values)
max_val = max(values)
range_size = (max_val - min_val) / 10
ranges = [[min_val + i*range_size, min_val + (i+1)*range_size, 0] for i in ange(10)]
for val in values:
for i, r in enumerate(ranges):
if r[0] <= val < r[1]:
ranges[i][2] += 1
break
return [[int(r[0]), int(r[1]), r[2]] for r in ranges]Эмбеддинговое расстояние = 0.16
Здесь две задачи имеют схожие Python Docstrings, имена функций, а также структуру кода, что можно выявить с помощью L2-расстояния между нормализованными эмбеддингами CodeGen-Mono 350M для каждой из них.
HumanEval
def sum_product(numbers: List[int]) -> Tuple[int, int]:
""" For a given list of integers, return a
tuple consisting of a sum and a product of
all the integers in a list.
Empty sum should be equal to 0 and empty
product should be equal to 1.
>>> sum_product([])
(0, 1)
>>> sum_product([1, 2, 3, 4])
(10, 24)
"""
sum_value = 0
prod_value = 1
for n in numbers:
sum_value += n
prod_value *= n
return sum_value, prod_valueCodeExercises
from typing import List, Tuple
def all_numbers_sum_product(numbers: List[int]) -> Tuple[int,int]:
"""
Returns a tuple containing the sum and
product of all the numbers in the input list.
Args:
- numbers (List[int]): a list of integers
Returns:
- a tuple containing two integers:
- the sum of all the numbers in the input
list
- the product of all the numbers in the
input list
"""
sum_of_numbers = 0
product_of_numbers = 1
for num in numbers:
sum_of_numbers += num
product_of_numbers *= num
return (sum_of_numbers, product_of_numbers)-
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10.08.25 23:29
robertalfred175
CRYPTO SCAM RECOVERY SUCCESSFUL – A TESTIMONIAL OF LOST PASSWORD TO YOUR DIGITAL WALLET BACK. My name is Robert Alfred, Am from Australia. I’m sharing my experience in the hope that it helps others who have been victims of crypto scams. A few months ago, I fell victim to a fraudulent crypto investment scheme linked to a broker company. I had invested heavily during a time when Bitcoin prices were rising, thinking it was a good opportunity. Unfortunately, I was scammed out of $120,000 AUD and the broker denied me access to my digital wallet and assets. It was a devastating experience that caused many sleepless nights. Crypto scams are increasingly common and often involve fake trading platforms, phishing attacks, and misleading investment opportunities. In my desperation, a friend from the crypto community recommended Capital Crypto Recovery Service, known for helping victims recover lost or stolen funds. After doing some research and reading multiple positive reviews, I reached out to Capital Crypto Recovery. I provided all the necessary information—wallet addresses, transaction history, and communication logs. Their expert team responded immediately and began investigating. Using advanced blockchain tracking techniques, they were able to trace the stolen Dogecoin, identify the scammer’s wallet, and coordinate with relevant authorities to freeze the funds before they could be moved. Incredibly, within 24 hours, Capital Crypto Recovery successfully recovered the majority of my stolen crypto assets. I was beyond relieved and truly grateful. Their professionalism, transparency, and constant communication throughout the process gave me hope during a very difficult time. If you’ve been a victim of a crypto scam, I highly recommend them with full confidence contacting: 📧 Email: [email protected] 📱 Telegram: @Capitalcryptorecover Contact: [email protected] 📞 Call/Text: +1 (336) 390-6684 🌐 Website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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11.08.25 10:33
Morris Jason
HIRE A REPUTABLE RECOVERY FIRM THAT HELPED ME RETRIEVE MY LOST INVESTMENT FUNDS : THE HACK ANGELS If you’re lost your Bitcoin to scammers, and you’re searching for trustworthy recovery services, getting in touch with THE HACK ANGELS is the only way to get your Bitcoin back. After losing my Bitcoin investments. I was determined to find a solution. I began by researching online and found several recovery services claiming to retrieve lost Bitcoin. However, most of these services turned out to be scams themselves. I thought I’d never see my funds again. It was then that I came across THE HACK ANGELS. A reputable Bitcoin recovery expert with a proven track record of retrieving lost Funds. I reached out to him, and he responded promptly, explaining the process of recovering my lost Bitcoin. They provide essential guidance on protecting digital assets, recognizing cyber threats and using effective security practices to prevent future incidents. Great communication and a successful outcome, when it comes to bitcoins recovery, quick contact THE HACK ANGELS RECOVERY EXPERT WhatsApp +1(520)2 0 0-2 3 2 0 Email at [email protected] Website at www.thehackangels.com If you're in London, you can even visit them in person at their office located at 45-46 Red Lion Street, London WC1R 4PF, UK. Don’t hesitate to reach out if you need help! And ready to reclaim what's rightfully yours?
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11.08.25 10:33
Morris Jason
HIRE A REPUTABLE RECOVERY FIRM THAT HELPED ME RETRIEVE MY LOST INVESTMENT FUNDS : THE HACK ANGELS If you’re lost your Bitcoin to scammers, and you’re searching for trustworthy recovery services, getting in touch with THE HACK ANGELS is the only way to get your Bitcoin back. After losing my Bitcoin investments. I was determined to find a solution. I began by researching online and found several recovery services claiming to retrieve lost Bitcoin. However, most of these services turned out to be scams themselves. I thought I’d never see my funds again. It was then that I came across THE HACK ANGELS. A reputable Bitcoin recovery expert with a proven track record of retrieving lost Funds. I reached out to him, and he responded promptly, explaining the process of recovering my lost Bitcoin. They provide essential guidance on protecting digital assets, recognizing cyber threats and using effective security practices to prevent future incidents. Great communication and a successful outcome, when it comes to bitcoins recovery, quick contact THE HACK ANGELS RECOVERY EXPERT WhatsApp +1(520)2 0 0-2 3 2 0 Email at [email protected] Website at www.thehackangels.com If you're in London, you can even visit them in person at their office located at 45-46 Red Lion Street, London WC1R 4PF, UK. Don’t hesitate to reach out if you need help! And ready to reclaim what's rightfully yours?
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11.08.25 10:34
Morris Jason
HIRE A REPUTABLE RECOVERY FIRM THAT HELPED ME RETRIEVE MY LOST INVESTMENT FUNDS : THE HACK ANGELS If you’re lost your Bitcoin to scammers, and you’re searching for trustworthy recovery services, getting in touch with THE HACK ANGELS is the only way to get your Bitcoin back. After losing my Bitcoin investments. I was determined to find a solution. I began by researching online and found several recovery services claiming to retrieve lost Bitcoin. However, most of these services turned out to be scams themselves. I thought I’d never see my funds again. It was then that I came across THE HACK ANGELS. A reputable Bitcoin recovery expert with a proven track record of retrieving lost Funds. I reached out to him, and he responded promptly, explaining the process of recovering my lost Bitcoin. They provide essential guidance on protecting digital assets, recognizing cyber threats and using effective security practices to prevent future incidents. Great communication and a successful outcome, when it comes to bitcoins recovery, quick contact THE HACK ANGELS RECOVERY EXPERT WhatsApp +1(520)2 0 0-2 3 2 0 Email at [email protected] Website at www.thehackangels.com If you're in London, you can even visit them in person at their office located at 45-46 Red Lion Street, London WC1R 4PF, UK. Don’t hesitate to reach out if you need help! And ready to reclaim what's rightfully yours?
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11.08.25 10:34
Morris Jason
HIRE A REPUTABLE RECOVERY FIRM THAT HELPED ME RETRIEVE MY LOST INVESTMENT FUNDS : THE HACK ANGELS If you’re lost your Bitcoin to scammers, and you’re searching for trustworthy recovery services, getting in touch with THE HACK ANGELS is the only way to get your Bitcoin back. After losing my Bitcoin investments. I was determined to find a solution. I began by researching online and found several recovery services claiming to retrieve lost Bitcoin. However, most of these services turned out to be scams themselves. I thought I’d never see my funds again. It was then that I came across THE HACK ANGELS. A reputable Bitcoin recovery expert with a proven track record of retrieving lost Funds. I reached out to him, and he responded promptly, explaining the process of recovering my lost Bitcoin. They provide essential guidance on protecting digital assets, recognizing cyber threats and using effective security practices to prevent future incidents. Great communication and a successful outcome, when it comes to bitcoins recovery, quick contact THE HACK ANGELS RECOVERY EXPERT WhatsApp +1(520)2 0 0-2 3 2 0 Email at [email protected] Website at www.thehackangels.com If you're in London, you can even visit them in person at their office located at 45-46 Red Lion Street, London WC1R 4PF, UK. Don’t hesitate to reach out if you need help! And ready to reclaim what's rightfully yours?
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11.08.25 11:35
Dennisblaq
Hi everyone, I'm an entrepreneur, and when I learned about cryptocurrencies and how they potentially triple my income, I was excited to invest. I hope this message finds the correct audience. On the internet, I came across someone who assured me of exceptionally significant returns on my investment. I was readily persuaded by this man's seeming wisdom. I quickly discovered that this cryptocurrency was a hoax and that I was unable to withdraw my money after making a substantial investment. My business was in tatters, and I owed money.Fortunately for me, a pop-up regarding cryptocurrency recovery and cybersecurity specialists that could help me get all of my money back appeared when seeking for help on the internet. This organization, WIZARD JAMES RECOVERY, is a cyber security and cryptocurrency recovery firm that helped me get my investment money back. I sincerely appreciate their assistance and heartily endorse them to anyone in need of cryptocurrency recovery. The following is their contact information: E - M A I L: [email protected] W H A T S A P P: (+ 44 741 836 7204)
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11.08.25 13:05
alaincharlotte5
RECLAIM CRYPTO LOSS: HIRE META TECH RECOVERY PRO TO RECOVER LOST ASSET BACK. The adage "all that glitters is not gold" proved a harsh reality I recently encountered. The digital realm of cryptocurrency investments and exchange platforms is not immune to deception. My pursuit of cryptocurrency investments led me to a seemingly legitimate site, complete with convincing investor testimonials touting successful withdrawals. Unbeknownst to me, it was an elaborate scheme. I invested $210,000.00 worth of cryptocurrency across multiple wallets, as directed by the scammers. Initially, the process mirrored typical modern investments, but my withdrawal requests were met with evasiveness and silence. This represented my entire life savings, accumulated through years of dedicated work, now vanished in an instant. Refusing to accept defeat, I sought assistance from METATECH-RECOVERYPRO, which facilitated a successful recovery. Their process was remarkably efficient. They meticulously traced my lost funds back to the perpetrators, and within a short timeframe, the recovered assets were returned to my bank account. Without this exceptional recovery team, which offered support when all hope seemed lost, my situation would have been dire. To initiate your recovery, I strongly advise sending a detailed email ([email protected]) of your task, outlining your specific circumstances. Ask (META TECH RECOVERY PRO) for help via: Telegram:@metatechrecoveryproteam W/S +1 (469) 692‑8049 thank you.
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11.08.25 13:05
alaincharlotte5
RECLAIM CRYPTO LOSS: HIRE META TECH RECOVERY PRO TO RECOVER LOST ASSET BACK. The adage "all that glitters is not gold" proved a harsh reality I recently encountered. The digital realm of cryptocurrency investments and exchange platforms is not immune to deception. My pursuit of cryptocurrency investments led me to a seemingly legitimate site, complete with convincing investor testimonials touting successful withdrawals. Unbeknownst to me, it was an elaborate scheme. I invested $210,000.00 worth of cryptocurrency across multiple wallets, as directed by the scammers. Initially, the process mirrored typical modern investments, but my withdrawal requests were met with evasiveness and silence. This represented my entire life savings, accumulated through years of dedicated work, now vanished in an instant. Refusing to accept defeat, I sought assistance from METATECH-RECOVERYPRO, which facilitated a successful recovery. Their process was remarkably efficient. They meticulously traced my lost funds back to the perpetrators, and within a short timeframe, the recovered assets were returned to my bank account. Without this exceptional recovery team, which offered support when all hope seemed lost, my situation would have been dire. To initiate your recovery, I strongly advise sending a detailed email ([email protected]) of your task, outlining your specific circumstances. Ask (META TECH RECOVERY PRO) for help via: Telegram:@metatechrecoveryproteam W/S +1 (469) 692‑8049 thank you.
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11.08.25 13:05
alaincharlotte5
RECLAIM CRYPTO LOSS: HIRE META TECH RECOVERY PRO TO RECOVER LOST ASSET BACK. The adage "all that glitters is not gold" proved a harsh reality I recently encountered. The digital realm of cryptocurrency investments and exchange platforms is not immune to deception. My pursuit of cryptocurrency investments led me to a seemingly legitimate site, complete with convincing investor testimonials touting successful withdrawals. Unbeknownst to me, it was an elaborate scheme. I invested $210,000.00 worth of cryptocurrency across multiple wallets, as directed by the scammers. Initially, the process mirrored typical modern investments, but my withdrawal requests were met with evasiveness and silence. This represented my entire life savings, accumulated through years of dedicated work, now vanished in an instant. Refusing to accept defeat, I sought assistance from METATECH-RECOVERYPRO, which facilitated a successful recovery. Their process was remarkably efficient. They meticulously traced my lost funds back to the perpetrators, and within a short timeframe, the recovered assets were returned to my bank account. Without this exceptional recovery team, which offered support when all hope seemed lost, my situation would have been dire. To initiate your recovery, I strongly advise sending a detailed email ([email protected]) of your task, outlining your specific circumstances. Ask (META TECH RECOVERY PRO) for help via: Telegram:@metatechrecoveryproteam W/S +1 (469) 692‑8049 thank you.
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11.08.25 17:49
robertalfred175
CRYPTO SCAM RECOVERY SUCCESSFUL – A TESTIMONIAL OF LOST PASSWORD TO YOUR DIGITAL WALLET BACK. My name is Robert Alfred, Am from Australia. I’m sharing my experience in the hope that it helps others who have been victims of crypto scams. A few months ago, I fell victim to a fraudulent crypto investment scheme linked to a broker company. I had invested heavily during a time when Bitcoin prices were rising, thinking it was a good opportunity. Unfortunately, I was scammed out of $120,000 AUD and the broker denied me access to my digital wallet and assets. It was a devastating experience that caused many sleepless nights. Crypto scams are increasingly common and often involve fake trading platforms, phishing attacks, and misleading investment opportunities. In my desperation, a friend from the crypto community recommended Capital Crypto Recovery Service, known for helping victims recover lost or stolen funds. After doing some research and reading multiple positive reviews, I reached out to Capital Crypto Recovery. I provided all the necessary information—wallet addresses, transaction history, and communication logs. Their expert team responded immediately and began investigating. Using advanced blockchain tracking techniques, they were able to trace the stolen Dogecoin, identify the scammer’s wallet, and coordinate with relevant authorities to freeze the funds before they could be moved. Incredibly, within 24 hours, Capital Crypto Recovery successfully recovered the majority of my stolen crypto assets. I was beyond relieved and truly grateful. Their professionalism, transparency, and constant communication throughout the process gave me hope during a very difficult time. If you’ve been a victim of a crypto scam, I highly recommend them with full confidence contacting: 📧 Email: [email protected] 📱 Telegram: @Capitalcryptorecover Contact: [email protected] 📞 Call/Text: +1 (336) 390-6684 🌐 Website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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11.08.25 17:49
robertalfred175
CRYPTO SCAM RECOVERY SUCCESSFUL – A TESTIMONIAL OF LOST PASSWORD TO YOUR DIGITAL WALLET BACK. My name is Robert Alfred, Am from Australia. I’m sharing my experience in the hope that it helps others who have been victims of crypto scams. A few months ago, I fell victim to a fraudulent crypto investment scheme linked to a broker company. I had invested heavily during a time when Bitcoin prices were rising, thinking it was a good opportunity. Unfortunately, I was scammed out of $120,000 AUD and the broker denied me access to my digital wallet and assets. It was a devastating experience that caused many sleepless nights. Crypto scams are increasingly common and often involve fake trading platforms, phishing attacks, and misleading investment opportunities. In my desperation, a friend from the crypto community recommended Capital Crypto Recovery Service, known for helping victims recover lost or stolen funds. After doing some research and reading multiple positive reviews, I reached out to Capital Crypto Recovery. I provided all the necessary information—wallet addresses, transaction history, and communication logs. Their expert team responded immediately and began investigating. Using advanced blockchain tracking techniques, they were able to trace the stolen Dogecoin, identify the scammer’s wallet, and coordinate with relevant authorities to freeze the funds before they could be moved. Incredibly, within 24 hours, Capital Crypto Recovery successfully recovered the majority of my stolen crypto assets. I was beyond relieved and truly grateful. Their professionalism, transparency, and constant communication throughout the process gave me hope during a very difficult time. If you’ve been a victim of a crypto scam, I highly recommend them with full confidence contacting: 📧 Email: [email protected] 📱 Telegram: @Capitalcryptorecover Contact: [email protected] 📞 Call/Text: +1 (336) 390-6684 🌐 Website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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11.08.25 17:49
robertalfred175
CRYPTO SCAM RECOVERY SUCCESSFUL – A TESTIMONIAL OF LOST PASSWORD TO YOUR DIGITAL WALLET BACK. My name is Robert Alfred, Am from Australia. I’m sharing my experience in the hope that it helps others who have been victims of crypto scams. A few months ago, I fell victim to a fraudulent crypto investment scheme linked to a broker company. I had invested heavily during a time when Bitcoin prices were rising, thinking it was a good opportunity. Unfortunately, I was scammed out of $120,000 AUD and the broker denied me access to my digital wallet and assets. It was a devastating experience that caused many sleepless nights. Crypto scams are increasingly common and often involve fake trading platforms, phishing attacks, and misleading investment opportunities. In my desperation, a friend from the crypto community recommended Capital Crypto Recovery Service, known for helping victims recover lost or stolen funds. After doing some research and reading multiple positive reviews, I reached out to Capital Crypto Recovery. I provided all the necessary information—wallet addresses, transaction history, and communication logs. Their expert team responded immediately and began investigating. Using advanced blockchain tracking techniques, they were able to trace the stolen Dogecoin, identify the scammer’s wallet, and coordinate with relevant authorities to freeze the funds before they could be moved. Incredibly, within 24 hours, Capital Crypto Recovery successfully recovered the majority of my stolen crypto assets. I was beyond relieved and truly grateful. Their professionalism, transparency, and constant communication throughout the process gave me hope during a very difficult time. If you’ve been a victim of a crypto scam, I highly recommend them with full confidence contacting: 📧 Email: [email protected] 📱 Telegram: @Capitalcryptorecover Contact: [email protected] 📞 Call/Text: +1 (336) 390-6684 🌐 Website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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11.08.25 19:46
KEVIN3
HOW I RECOVER MY LOST FUNDS AFTER INVESTING Exercise extreme caution when dealing with this company. They scammed me $800,000 out of my money and even gained unauthorized access to my banking information, which severely impacted my financial well-being. I had initially approached them with the hope of improving my life through investment, but instead, I was deceived. This company should be thoroughly investigated and shut down to prevent further harm. Fortunately, I was able to recover my funds thanks to Mrs. Rose. Although I was initially hesitant and unsure about contacting her, I decided to take the risk and I’m so glad I did. You can reach her via telegram 📱(@RoseCyberHives) and email rosecryptorecovery@gmail. com With the help of her skilled team of cybersecurity professionals and cryptocurrency experts, I was able to recover my lost funds quickly and with minimal stress, a sharp contrast to my previous experience. If you’ve been scammed or are in a similar situation, I highly recommend reaching out to her for assistance. via telegram 📱 (@RoseCyberHives) rosecryptorecovery@gmail. com
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11.08.25 20:06
KEVIN3
HOW I RECOVER MY LOST FUNDS AFTER INVESTING Exercise extreme caution when dealing with this company. They scammed me $800,000 out of my money and even gained unauthorized access to my banking information, which severely impacted my financial well-being. I had initially approached them with the hope of improving my life through investment, but instead, I was deceived. This company should be thoroughly investigated and shut down to prevent further harm. Fortunately, I was able to recover my funds thanks to Mrs. Rose. Although I was initially hesitant and unsure about contacting her, I decided to take the risk and I’m so glad I did. You can reach her via telegram 📱(@RoseCyberHives) and email rosecryptorecovery@gmail. com With the help of her skilled team of cybersecurity professionals and cryptocurrency experts, I was able to recover my lost funds quickly and with minimal stress, a sharp contrast to my previous experience. If you’ve been scammed or are in a similar situation, I highly recommend reaching out to her for assistance. via telegram 📱 (@RoseCyberHives) rosecryptorecovery@gmail. com
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12.08.25 02:43
michaeldavenport218
I was recently scammed out of $53,000 by a fraudulent Bitcoin investment scheme, which added significant stress to my already difficult health issues, as I was also facing cancer surgery expenses. Desperate to recover my funds, I spent hours researching and consulting other victims, which led me to discover the excellent reputation of Capital Crypto Recover, I came across a Google post It was only after spending many hours researching and asking other victims for advice that I discovered Capital Crypto Recovery’s stellar reputation. I decided to contact them because of their successful recovery record and encouraging client testimonials. I had no idea that this would be the pivotal moment in my fight against cryptocurrency theft. Thanks to their expert team, I was able to recover my lost cryptocurrency back. The process was intricate, but Capital Crypto Recovery's commitment to utilizing the latest technology ensured a successful outcome. I highly recommend their services to anyone who has fallen victim to cryptocurrency fraud. For assistance contact [email protected] and on Telegram OR Call Number +1 (336)390-6684 via email: [email protected] you can visit his website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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12.08.25 02:43
michaeldavenport218
I was recently scammed out of $53,000 by a fraudulent Bitcoin investment scheme, which added significant stress to my already difficult health issues, as I was also facing cancer surgery expenses. Desperate to recover my funds, I spent hours researching and consulting other victims, which led me to discover the excellent reputation of Capital Crypto Recover, I came across a Google post It was only after spending many hours researching and asking other victims for advice that I discovered Capital Crypto Recovery’s stellar reputation. I decided to contact them because of their successful recovery record and encouraging client testimonials. I had no idea that this would be the pivotal moment in my fight against cryptocurrency theft. Thanks to their expert team, I was able to recover my lost cryptocurrency back. The process was intricate, but Capital Crypto Recovery's commitment to utilizing the latest technology ensured a successful outcome. I highly recommend their services to anyone who has fallen victim to cryptocurrency fraud. For assistance contact [email protected] and on Telegram OR Call Number +1 (336)390-6684 via email: [email protected] you can visit his website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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12.08.25 02:43
michaeldavenport218
I was recently scammed out of $53,000 by a fraudulent Bitcoin investment scheme, which added significant stress to my already difficult health issues, as I was also facing cancer surgery expenses. Desperate to recover my funds, I spent hours researching and consulting other victims, which led me to discover the excellent reputation of Capital Crypto Recover, I came across a Google post It was only after spending many hours researching and asking other victims for advice that I discovered Capital Crypto Recovery’s stellar reputation. I decided to contact them because of their successful recovery record and encouraging client testimonials. I had no idea that this would be the pivotal moment in my fight against cryptocurrency theft. Thanks to their expert team, I was able to recover my lost cryptocurrency back. The process was intricate, but Capital Crypto Recovery's commitment to utilizing the latest technology ensured a successful outcome. I highly recommend their services to anyone who has fallen victim to cryptocurrency fraud. For assistance contact [email protected] and on Telegram OR Call Number +1 (336)390-6684 via email: [email protected] you can visit his website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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12.08.25 16:48
ahmed11
It takes a team to recover lost money from scams. Recovery professionals locate stolen money by using their expertise. The best course of action is advised by legal professionals. This helps you get your money back. Identifying warning indicators is a crucial lesson learned from frauds. Promises of large, fast, risk-free profits should be avoided. They may put pressure on you to make an investment right away. For assistance avoiding frauds in the future, get in touch with Marie. She can also help you retrieve your misplaced Bitcoin. You can reach her on Telegram at @Marie_consultancy or via email at [email protected]. Also, you can use WhatsApp at +1 7127594675.
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12.08.25 17:13
robertalfred175
CRYPTO SCAM RECOVERY SUCCESSFUL – A TESTIMONIAL OF LOST PASSWORD TO YOUR DIGITAL WALLET BACK. My name is Robert Alfred, Am from Australia. I’m sharing my experience in the hope that it helps others who have been victims of crypto scams. A few months ago, I fell victim to a fraudulent crypto investment scheme linked to a broker company. I had invested heavily during a time when Bitcoin prices were rising, thinking it was a good opportunity. Unfortunately, I was scammed out of $120,000 AUD and the broker denied me access to my digital wallet and assets. It was a devastating experience that caused many sleepless nights. Crypto scams are increasingly common and often involve fake trading platforms, phishing attacks, and misleading investment opportunities. In my desperation, a friend from the crypto community recommended Capital Crypto Recovery Service, known for helping victims recover lost or stolen funds. After doing some research and reading multiple positive reviews, I reached out to Capital Crypto Recovery. I provided all the necessary information—wallet addresses, transaction history, and communication logs. Their expert team responded immediately and began investigating. Using advanced blockchain tracking techniques, they were able to trace the stolen Dogecoin, identify the scammer’s wallet, and coordinate with relevant authorities to freeze the funds before they could be moved. Incredibly, within 24 hours, Capital Crypto Recovery successfully recovered the majority of my stolen crypto assets. I was beyond relieved and truly grateful. Their professionalism, transparency, and constant communication throughout the process gave me hope during a very difficult time. If you’ve been a victim of a crypto scam, I highly recommend them with full confidence contacting: 📧 Email: [email protected] 📱 Telegram: @Capitalcryptorecover Contact: [email protected] 📞 Call/Text: +1 (336) 390-6684 🌐 Website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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12.08.25 17:13
robertalfred175
CRYPTO SCAM RECOVERY SUCCESSFUL – A TESTIMONIAL OF LOST PASSWORD TO YOUR DIGITAL WALLET BACK. My name is Robert Alfred, Am from Australia. I’m sharing my experience in the hope that it helps others who have been victims of crypto scams. A few months ago, I fell victim to a fraudulent crypto investment scheme linked to a broker company. I had invested heavily during a time when Bitcoin prices were rising, thinking it was a good opportunity. Unfortunately, I was scammed out of $120,000 AUD and the broker denied me access to my digital wallet and assets. It was a devastating experience that caused many sleepless nights. Crypto scams are increasingly common and often involve fake trading platforms, phishing attacks, and misleading investment opportunities. In my desperation, a friend from the crypto community recommended Capital Crypto Recovery Service, known for helping victims recover lost or stolen funds. After doing some research and reading multiple positive reviews, I reached out to Capital Crypto Recovery. I provided all the necessary information—wallet addresses, transaction history, and communication logs. Their expert team responded immediately and began investigating. Using advanced blockchain tracking techniques, they were able to trace the stolen Dogecoin, identify the scammer’s wallet, and coordinate with relevant authorities to freeze the funds before they could be moved. Incredibly, within 24 hours, Capital Crypto Recovery successfully recovered the majority of my stolen crypto assets. I was beyond relieved and truly grateful. Their professionalism, transparency, and constant communication throughout the process gave me hope during a very difficult time. If you’ve been a victim of a crypto scam, I highly recommend them with full confidence contacting: 📧 Email: [email protected] 📱 Telegram: @Capitalcryptorecover Contact: [email protected] 📞 Call/Text: +1 (336) 390-6684 🌐 Website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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12.08.25 18:44
edinavida027
CRYPTO TRACING AND RECOVERY: HIRE A LEGITIMATE RECOVERY EXPERT" CONTACT RAPID DIGITAL RECOVERY
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12.08.25 18:44
edinavida027
A recruiter named Emma Zhang reached out to me on LinkedIn regarding an intriguing job opportunity that piqued my interest. She presented a position for a Crypto Security Specialist with a Coinbase-certified firm. Her profile appeared legitimate, boasting over 1200 connections and numerous endorsements from industry professionals that seemed authentic. The offer was enticing: a salary of $180,000 plus bonuses, all disbursed in Bitcoin. The recruiter promptly sent me an email from a seemingly official domain , which closely resembled Coinbase's actual email addresses. It felt like an incredible opportunity. However, there was a stipulation: to qualify for the position, I needed to confirm that I possessed at least 4 BTC. This requirement struck me as peculiar but not entirely implausible, given the nature of the role. At that moment, I had sufficient BTC to meet the demand, so I decided to proceed. The HR representative directed me to a portal that closely mimicked Coinbase's official interface. It was convincing enough that I didn’t hesitate to log in and complete the necessary steps. Unfortunately, that was where everything began to unravel. I was instructed to send a verification deposit of 1 BTC to confirm my ownership. Since everything appeared legitimate, I complied without hesitation. However, the moment I transferred the BTC, an unsettling feeling washed over me. The following day, I noticed that the remaining 3 BTC in my wallet began to vanish. My heart sank as I realized something was terribly amiss. I immediately attempted to reach out to both the HR representative and the company, but my efforts were met with silence. Upon checking the LinkedIn profiles of Emma Zhang and her team, I discovered they had mysteriously vanished. I was left with nothing no job offer, no recruiter, and no Bitcoin. I turned to the internet in search of solutions. That’s when I stumbled upon RAPID DIGITAL RECOVERY, a company specializing in Bitcoin recovery. I contacted them, and they assured me they could assist in recovering my lost funds. After a tense and arduous process, they successfully retrieved my stolen BTC. The relief I felt was indescribable, and I am profoundly grateful to RAPID DIGITAL RECOVERY for their expertise and unwavering support. CONTACT INFO BELOW Email: rapid digital recovery (@) execs. com Telegram: htt ps: // t. me/ Rapid digital recovery519 WhatSapp: +1 4 1 4 8 0 7 1 4 8 5
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12.08.25 19:15
vallatjosette
Fortunately, my luck changed when I encountered Wizard Hilton Cyber Tech. Their expertise and dedication to helping victims of cryptocurrency scams are truly remarkable. They worked tirelessly to track down the scammers and recover my lost crypto coins.Email : wizardhiltoncybertech ( @ ) gmail (. ) com OR support ( @ ) wizardhiltoncybertech (.) com
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12.08.25 23:07
babatunde162
I recommend Marie when it comes to recovering lost/stolen usdt/bitcoin or any kind of cryptocurrencies' from fake investment platforms because they're well specialized in that area and you'll get your money back in full. I can boldly say this right now based on my prior deal i had with them; she was the only one who was able to recover my lost money $52,760 dollars back to my account, Only • ([email protected] and telegram:@Marie_consultancy or whatsapp +1 7127594675) she was successful in recovering my money. They are the only one who can fully restore your lost funds to your account without any deductions, I really value their work and am recommending her to you today. THANK ME LATER
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13.08.25 06:11
tyler231
DO YOU REQUIRE TECHNICAL SKILLS TO SOLVE YOUR HACKING RELATED PROBLEMS? ●Hacking of all social media accounts ●Spying on cheating partner ●Retrieving of lost Cryptocurrency ●Data alteration ●Finding of lost phone ●Clearing/paying off of mortgage/loan ●Increasing of credit score ●Bitcoin mining ●Tracking of location ●Hacking of cell phone/other devices ●Block out or track down hackers Secure yourself now!!! Contact: [email protected] OR WHATSAPP+14106350697 They are the best at what they do they helped me out and i am here to testify contact them and come back testifying
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13.08.25 07:01
Morris Jason
HIRE A REPUTABLE RECOVERY FIRM THAT HELPED ME RETRIEVE MY LOST INVESTMENT FUNDS : THE HACK ANGELS If you’re lost your Bitcoin to scammers, and you’re searching for trustworthy recovery services, getting in touch with THE HACK ANGELS is the only way to get your Bitcoin back. After losing my Bitcoin investments. I was determined to find a solution. I began by researching online and found several recovery services claiming to retrieve lost Bitcoin. However, most of these services turned out to be scams themselves. I thought I’d never see my funds again. It was then that I came across THE HACK ANGELS. A reputable Bitcoin recovery expert with a proven track record of retrieving lost Funds. I reached out to him, and he responded promptly, explaining the process of recovering my lost Bitcoin. They provide essential guidance on protecting digital assets, recognizing cyber threats and using effective security practices to prevent future incidents. Great communication and a successful outcome, when it comes to bitcoins recovery, quick contact THE HACK ANGELS RECOVERY EXPERT WhatsApp +1(520)2 0 0-2 3 2 0 Email at [email protected] Website at www.thehackangels.com If you're in London, you can even visit them in person at their office located at 45-46 Red Lion Street, London WC1R 4PF, UK. Don’t hesitate to reach out if you need help! And ready to reclaim what's rightfully yours?
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13.08.25 07:01
Morris Jason
HIRE A REPUTABLE RECOVERY FIRM THAT HELPED ME RETRIEVE MY LOST INVESTMENT FUNDS : THE HACK ANGELS If you’re lost your Bitcoin to scammers, and you’re searching for trustworthy recovery services, getting in touch with THE HACK ANGELS is the only way to get your Bitcoin back. After losing my Bitcoin investments. I was determined to find a solution. I began by researching online and found several recovery services claiming to retrieve lost Bitcoin. However, most of these services turned out to be scams themselves. I thought I’d never see my funds again. It was then that I came across THE HACK ANGELS. A reputable Bitcoin recovery expert with a proven track record of retrieving lost Funds. I reached out to him, and he responded promptly, explaining the process of recovering my lost Bitcoin. They provide essential guidance on protecting digital assets, recognizing cyber threats and using effective security practices to prevent future incidents. Great communication and a successful outcome, when it comes to bitcoins recovery, quick contact THE HACK ANGELS RECOVERY EXPERT WhatsApp +1(520)2 0 0-2 3 2 0 Email at [email protected] Website at www.thehackangels.com If you're in London, you can even visit them in person at their office located at 45-46 Red Lion Street, London WC1R 4PF, UK. Don’t hesitate to reach out if you need help! And ready to reclaim what's rightfully yours?
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13.08.25 07:01
Morris Jason
HIRE A REPUTABLE RECOVERY FIRM THAT HELPED ME RETRIEVE MY LOST INVESTMENT FUNDS : THE HACK ANGELS If you’re lost your Bitcoin to scammers, and you’re searching for trustworthy recovery services, getting in touch with THE HACK ANGELS is the only way to get your Bitcoin back. After losing my Bitcoin investments. I was determined to find a solution. I began by researching online and found several recovery services claiming to retrieve lost Bitcoin. However, most of these services turned out to be scams themselves. I thought I’d never see my funds again. It was then that I came across THE HACK ANGELS. A reputable Bitcoin recovery expert with a proven track record of retrieving lost Funds. I reached out to him, and he responded promptly, explaining the process of recovering my lost Bitcoin. They provide essential guidance on protecting digital assets, recognizing cyber threats and using effective security practices to prevent future incidents. Great communication and a successful outcome, when it comes to bitcoins recovery, quick contact THE HACK ANGELS RECOVERY EXPERT WhatsApp +1(520)2 0 0-2 3 2 0 Email at [email protected] Website at www.thehackangels.com If you're in London, you can even visit them in person at their office located at 45-46 Red Lion Street, London WC1R 4PF, UK. Don’t hesitate to reach out if you need help! And ready to reclaim what's rightfully yours?
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13.08.25 08:26
Morris Jason
HIRE A REPUTABLE RECOVERY FIRM THAT HELPED ME RETRIEVE MY LOST INVESTMENT FUNDS : THE HACK ANGELS If you’re lost your Bitcoin to scammers, and you’re searching for trustworthy recovery services, getting in touch with THE HACK ANGELS is the only way to get your Bitcoin back. After losing my Bitcoin investments. I was determined to find a solution. I began by researching online and found several recovery services claiming to retrieve lost Bitcoin. However, most of these services turned out to be scams themselves. I thought I’d never see my funds again. It was then that I came across THE HACK ANGELS. A reputable Bitcoin recovery expert with a proven track record of retrieving lost Funds. I reached out to him, and he responded promptly, explaining the process of recovering my lost Bitcoin. They provide essential guidance on protecting digital assets, recognizing cyber threats and using effective security practices to prevent future incidents. Great communication and a successful outcome, when it comes to bitcoins recovery, quick contact THE HACK ANGELS RECOVERY EXPERT WhatsApp +1(520)2 0 0-2 3 2 0 Email at [email protected] Website at www.thehackangels.com If you're in London, you can even visit them in person at their office located at 45-46 Red Lion Street, London WC1R 4PF, UK. Don’t hesitate to reach out if you need help! And ready to reclaim what's rightfully yours?
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13.08.25 08:27
Morris Jason
HIRE A REPUTABLE RECOVERY FIRM THAT HELPED ME RETRIEVE MY LOST INVESTMENT FUNDS : THE HACK ANGELS If you’re lost your Bitcoin to scammers, and you’re searching for trustworthy recovery services, getting in touch with THE HACK ANGELS is the only way to get your Bitcoin back. After losing my Bitcoin investments. I was determined to find a solution. I began by researching online and found several recovery services claiming to retrieve lost Bitcoin. However, most of these services turned out to be scams themselves. I thought I’d never see my funds again. It was then that I came across THE HACK ANGELS. A reputable Bitcoin recovery expert with a proven track record of retrieving lost Funds. I reached out to him, and he responded promptly, explaining the process of recovering my lost Bitcoin. They provide essential guidance on protecting digital assets, recognizing cyber threats and using effective security practices to prevent future incidents. Great communication and a successful outcome, when it comes to bitcoins recovery, quick contact THE HACK ANGELS RECOVERY EXPERT WhatsApp +1(520)2 0 0-2 3 2 0 Email at [email protected] Website at www.thehackangels.com If you're in London, you can even visit them in person at their office located at 45-46 Red Lion Street, London WC1R 4PF, UK. Don’t hesitate to reach out if you need help! And ready to reclaim what's rightfully yours?
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13.08.25 08:27
Morris Jason
HIRE A REPUTABLE RECOVERY FIRM THAT HELPED ME RETRIEVE MY LOST INVESTMENT FUNDS : THE HACK ANGELS If you’re lost your Bitcoin to scammers, and you’re searching for trustworthy recovery services, getting in touch with THE HACK ANGELS is the only way to get your Bitcoin back. After losing my Bitcoin investments. I was determined to find a solution. I began by researching online and found several recovery services claiming to retrieve lost Bitcoin. However, most of these services turned out to be scams themselves. I thought I’d never see my funds again. It was then that I came across THE HACK ANGELS. A reputable Bitcoin recovery expert with a proven track record of retrieving lost Funds. I reached out to him, and he responded promptly, explaining the process of recovering my lost Bitcoin. They provide essential guidance on protecting digital assets, recognizing cyber threats and using effective security practices to prevent future incidents. Great communication and a successful outcome, when it comes to bitcoins recovery, quick contact THE HACK ANGELS RECOVERY EXPERT WhatsApp +1(520)2 0 0-2 3 2 0 Email at [email protected] Website at www.thehackangels.com If you're in London, you can even visit them in person at their office located at 45-46 Red Lion Street, London WC1R 4PF, UK. Don’t hesitate to reach out if you need help! And ready to reclaim what's rightfully yours?
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13.08.25 10:37
babatunde162
Since Marie is an expert in recovering lost or stolen USDT, bitcoin, or any other cryptocurrency from fraudulent investment platforms, I suggest them for this task. You will receive your money back in full. I can confidently state this at this time because of my previous transaction with them: she was the only one who successfully returned $52,760 of my lost funds to my account. Her contact information is [email protected], and her telegram handle is @Marie_consultancy or +1 7127594675. Because they are the only ones that can completely return your lost money to your account without taking any money out, I truly appreciate what they do and am suggesting her to you today. Afterward, thank you.
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13.08.25 13:15
Bartlevi
Sylvester showcased remarkable talent. He brought back over $610,000 in crypto. This felt like a massive win. His help went beyond this first success. He worked hard to get back more lost money. He stayed in touch all the time. He kept me in the loop. The whole process was very honest. There were no hidden fees or tricky ways. My money went straight to my crypto account. The transfer was easy. Sylvester Bryant is the most honest recovery agent I know. If you're in a similar spot, contact him now. You can email Sylvester at yt7cracker@gmail. com. Or reach him on WhatsApp at +1 (512) 577-7957. Don't give up hope. Sylvester can find your stolen money. He did it for me. You can get your money back. Sylvester Bryant will help you recover your funds.
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13.08.25 14:23
Morris Jason
HIRE A REPUTABLE RECOVERY FIRM THAT HELPED ME RETRIEVE MY LOST INVESTMENT FUNDS : THE HACK ANGELS If you’re lost your Bitcoin to scammers, and you’re searching for trustworthy recovery services, getting in touch with THE HACK ANGELS is the only way to get your Bitcoin back. After losing my Bitcoin investments. I was determined to find a solution. I began by researching online and found several recovery services claiming to retrieve lost Bitcoin. However, most of these services turned out to be scams themselves. I thought I’d never see my funds again. It was then that I came across THE HACK ANGELS. A reputable Bitcoin recovery expert with a proven track record of retrieving lost Funds. I reached out to him, and he responded promptly, explaining the process of recovering my lost Bitcoin. They provide essential guidance on protecting digital assets, recognizing cyber threats and using effective security practices to prevent future incidents. Great communication and a successful outcome, when it comes to bitcoins recovery, quick contact THE HACK ANGELS RECOVERY EXPERT WhatsApp +1(520)2 0 0-2 3 2 0 Email at [email protected] Website at www.thehackangels.com If you're in London, you can even visit them in person at their office located at 45-46 Red Lion Street, London WC1R 4PF, UK. Don’t hesitate to reach out if you need help! And ready to reclaim what's rightfully yours?
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13.08.25 14:23
Morris Jason
HIRE A REPUTABLE RECOVERY FIRM THAT HELPED ME RETRIEVE MY LOST INVESTMENT FUNDS : THE HACK ANGELS If you’re lost your Bitcoin to scammers, and you’re searching for trustworthy recovery services, getting in touch with THE HACK ANGELS is the only way to get your Bitcoin back. After losing my Bitcoin investments. I was determined to find a solution. I began by researching online and found several recovery services claiming to retrieve lost Bitcoin. However, most of these services turned out to be scams themselves. I thought I’d never see my funds again. It was then that I came across THE HACK ANGELS. A reputable Bitcoin recovery expert with a proven track record of retrieving lost Funds. I reached out to him, and he responded promptly, explaining the process of recovering my lost Bitcoin. They provide essential guidance on protecting digital assets, recognizing cyber threats and using effective security practices to prevent future incidents. Great communication and a successful outcome, when it comes to bitcoins recovery, quick contact THE HACK ANGELS RECOVERY EXPERT WhatsApp +1(520)2 0 0-2 3 2 0 Email at [email protected] Website at www.thehackangels.com If you're in London, you can even visit them in person at their office located at 45-46 Red Lion Street, London WC1R 4PF, UK. Don’t hesitate to reach out if you need help! And ready to reclaim what's rightfully yours?
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13.08.25 19:46
marcushenderson624
Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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13.08.25 19:46
marcushenderson624
Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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13.08.25 19:46
marcushenderson624
Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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13.08.25 19:50
babatunde162
When it comes to recovering lost or stolen bitcoin, USDT, or any other cryptocurrency from fraudulent investment platforms, I suggest Marie because they are highly skilled in the field and will return all of your money. Based on my previous transaction with them, I can state with confidence that she was the only one who successfully returned $52,760 of my lost funds to my account. Her email address is [email protected], and her telegram handle is @Marie_consultancy, or her WhatsApp number is +1 7127594675. I truly appreciate their work and am suggesting her to you today because they are the only ones who can completely return your missing money to your account without any deductions.
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14.08.25 00:20
robertalfred175
CRYPTO SCAM RECOVERY SUCCESSFUL – A TESTIMONIAL OF LOST PASSWORD TO YOUR DIGITAL WALLET BACK. My name is Robert Alfred, Am from Australia. I’m sharing my experience in the hope that it helps others who have been victims of crypto scams. A few months ago, I fell victim to a fraudulent crypto investment scheme linked to a broker company. I had invested heavily during a time when Bitcoin prices were rising, thinking it was a good opportunity. Unfortunately, I was scammed out of $120,000 AUD and the broker denied me access to my digital wallet and assets. It was a devastating experience that caused many sleepless nights. Crypto scams are increasingly common and often involve fake trading platforms, phishing attacks, and misleading investment opportunities. In my desperation, a friend from the crypto community recommended Capital Crypto Recovery Service, known for helping victims recover lost or stolen funds. After doing some research and reading multiple positive reviews, I reached out to Capital Crypto Recovery. I provided all the necessary information—wallet addresses, transaction history, and communication logs. Their expert team responded immediately and began investigating. Using advanced blockchain tracking techniques, they were able to trace the stolen Dogecoin, identify the scammer’s wallet, and coordinate with relevant authorities to freeze the funds before they could be moved. Incredibly, within 24 hours, Capital Crypto Recovery successfully recovered the majority of my stolen crypto assets. I was beyond relieved and truly grateful. Their professionalism, transparency, and constant communication throughout the process gave me hope during a very difficult time. If you’ve been a victim of a crypto scam, I highly recommend them with full confidence contacting: 📧 Email: [email protected] 📱 Telegram: @Capitalcryptorecover Contact: [email protected] 📞 Call/Text: +1 (336) 390-6684 🌐 Website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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14.08.25 00:20
robertalfred175
CRYPTO SCAM RECOVERY SUCCESSFUL – A TESTIMONIAL OF LOST PASSWORD TO YOUR DIGITAL WALLET BACK. My name is Robert Alfred, Am from Australia. I’m sharing my experience in the hope that it helps others who have been victims of crypto scams. A few months ago, I fell victim to a fraudulent crypto investment scheme linked to a broker company. I had invested heavily during a time when Bitcoin prices were rising, thinking it was a good opportunity. Unfortunately, I was scammed out of $120,000 AUD and the broker denied me access to my digital wallet and assets. It was a devastating experience that caused many sleepless nights. Crypto scams are increasingly common and often involve fake trading platforms, phishing attacks, and misleading investment opportunities. In my desperation, a friend from the crypto community recommended Capital Crypto Recovery Service, known for helping victims recover lost or stolen funds. After doing some research and reading multiple positive reviews, I reached out to Capital Crypto Recovery. I provided all the necessary information—wallet addresses, transaction history, and communication logs. Their expert team responded immediately and began investigating. Using advanced blockchain tracking techniques, they were able to trace the stolen Dogecoin, identify the scammer’s wallet, and coordinate with relevant authorities to freeze the funds before they could be moved. Incredibly, within 24 hours, Capital Crypto Recovery successfully recovered the majority of my stolen crypto assets. I was beyond relieved and truly grateful. Their professionalism, transparency, and constant communication throughout the process gave me hope during a very difficult time. If you’ve been a victim of a crypto scam, I highly recommend them with full confidence contacting: 📧 Email: [email protected] 📱 Telegram: @Capitalcryptorecover Contact: [email protected] 📞 Call/Text: +1 (336) 390-6684 🌐 Website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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14.08.25 17:47
Joanne Ruth
The innovative company Captain Jack Recovery was created to address the challenges associated with recovering cryptocurrency assets. A group of seasoned professionals with backgrounds in offshore legal solutions, asset recovery, crypto intelligence, and crypto investigations founded Captain Jack Recovery. For people and companies who have been the victims of bitcoin fraud or theft, his goal is to offer complete recovery options. Conatc address ([email protected])
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14.08.25 18:27
lisared
Losing nearly 500,000 USDT to hackers was one of the most devastating experience of my life. I felt powerless as my hard-earned assets vanished into anonymous blockchain transactions until I found Agent Jasmine Lopez. Her deep expertise, tireless effort, and unwavering focus gave me hope and delivered results. She traced complex transactions, pursued every lead, and recovered a large portion of my stolen funds something I never thought possible. If you’ve lost digital assets, don’t give up. Contact her at recoveryfundprovider [AT] gmail [DOT] com Whats//App at +{44 736-644-5035}. She turned my nightmare into a recovery story, and she could do the same for you
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14.08.25 19:23
Joanne Ruth
The innovative company Captain Jack Recovery was created to address the challenges associated with recovering cryptocurrency assets. A group of seasoned professionals with backgrounds in offshore legal solutions, asset recovery, crypto intelligence, and crypto investigations founded Captain Jack Recovery. For people and companies who have been the victims of bitcoin fraud or theft, his goal is to offer complete recovery options. Conatc address ([email protected])
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14.08.25 21:49
Rickbayford
If you need to recover cryptocurrency that has been lost to wallet hackers, internet scammers, or BTC transferred to the wrong address, I suggest Wizard James Recovery, a very trustworthy recovery organization. Just by sending my case to the Expert and supplying the necessary data, Wizard James Recovery was able to help me recover my Bitcoin. I'm glad I was able to recover this much after losing even more to the fraudulent broker I initially put my belief in. Errors are unavoidable, thus we can never be careful enough. If you have lost money to cryptocurrency scams, I strongly advise getting in touch with Wizard James Recovery. Mail: ([email protected])
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15.08.25 03:10
KEVIN3
HOW I RECOVER MY LOST FUNDS AFTER INVESTING Exercise extreme caution when dealing with this company. They scammed me $800,000 out of my money and even gained unauthorized access to my banking information, which severely impacted my financial well-being. I had initially approached them with the hope of improving my life through investment, but instead, I was deceived. This company should be thoroughly investigated and shut down to prevent further harm. Fortunately, I was able to recover my funds thanks to Mrs. Rose. Although I was initially hesitant and unsure about contacting her, I decided to take the risk and I’m so glad I did. You can reach her via telegram (@RoseCyberHives) and email rosecryptorecovery@gmail. com With the help of her skilled team of cybersecurity professionals and cryptocurrency experts, I was able to recover my lost funds quickly and with minimal stress, a sharp contrast to my previous experience. If you’ve been scammed or are in a similar situation, I highly recommend reaching out to her for assistance. via telegram (@RoseCyberHives) rosecryptorecovery@gmail. com
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15.08.25 04:59
marcushenderson624
Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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15.08.25 04:59
marcushenderson624
Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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15.08.25 04:59
marcushenderson624
Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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15.08.25 04:59
marcushenderson624
Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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15.08.25 09:13
eva117
Recovery experts and legal experts work together to get back stolen money. They use special skills to find and retrieve assets. This teamwork improves your chances of success. Learning to spot scam warnings is key. Look out for promises of big returns with no risk. Be wary of pressure to invest fast. Contact Marie at [email protected], Telegram @Marie_consultancy, or WhatsApp +1 7127594675. She can help you avoid future scams and recover lost bitcoin
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15.08.25 13:27
wendytaylor015
My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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15.08.25 13:27
wendytaylor015
My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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15.08.25 20:26
caitlinfedex
After my wife passed, I found myself lonely and searching for connection. I joined a senior living forum just to talk with others my age to share stories, maybe feel a little less isolated. That’s where I met a man who claimed to be helping retirees like me manage their savings with cryptocurrency. He spoke warmly and convincingly about a retirement care fund that guaranteed lifetime monthly payouts. He said it was specifically designed for people in my stage of life safe secure and backed by health organizations. He gained my trust over weeks of conversation. We spoke daily. He called me by name asked about my late wife, and remembered little details about my life. I believed he genuinely cared. Eventually, I transferred $200000 in USDT the majority of my retirement savings, into the wallet address he provided. That was the last time I heard from him. The forum profile vanished. His phone number stopped working. No response to emails. I was stunned. I couldn’t believe I had been tricked. I didn’t know who to turn to. I felt ashamed and foolish. At my age recovering from a financial loss like this is nearly impossible.My relative stepped in. They searched online for solutions and found TRUST GEEKS HACK EXPERT. I was skeptical at first but they insisted we give them a chance. From the moment we contacted them they treated me with respect patience and genuine concern. Their team didn’t speak in technical riddles. They explained every step. They used blockchain analysis tools to trace the movement of my funds through several addresses.It turned out the wallet was linked to a scam platform. TRUST GEEKS HACK EXPERT worked directly with the USDT issuer and coordinated with relevant platforms to freeze the funds before they were fully laundered.In just two weeks they managed to recover $155000 in USDT.The money helped yes but it was more than that. I no longer felt powerless. I had been taken advantage of but I wasn’t alone in the fight. Thanks to TRUST GEEKS HACK EXPERT I got back not only a large part of my savings but also peace of mind a sense of dignity and hope for the future. If you ever find yourself in such situation I encourage you to contact TRUST GEEKS HACK EXPERT Email.trustgeekshackexpert{At}fastservice{Dot}com — Telegram:: Trustgeekshackexpert & W h a t's A p p +1 7 1 9 4 9 2 2 6 9 3
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15.08.25 20:27
caitlinfedex
After my wife passed, I found myself lonely and searching for connection. I joined a senior living forum just to talk with others my age to share stories, maybe feel a little less isolated. That’s where I met a man who claimed to be helping retirees like me manage their savings with cryptocurrency. He spoke warmly and convincingly about a retirement care fund that guaranteed lifetime monthly payouts. He said it was specifically designed for people in my stage of life safe secure and backed by health organizations. He gained my trust over weeks of conversation. We spoke daily. He called me by name asked about my late wife, and remembered little details about my life. I believed he genuinely cared. Eventually, I transferred $200000 in USDT the majority of my retirement savings, into the wallet address he provided. That was the last time I heard from him. The forum profile vanished. His phone number stopped working. No response to emails. I was stunned. I couldn’t believe I had been tricked. I didn’t know who to turn to. I felt ashamed and foolish. At my age recovering from a financial loss like this is nearly impossible.My relative stepped in. They searched online for solutions and found TRUST GEEKS HACK EXPERT. I was skeptical at first but they insisted we give them a chance. From the moment we contacted them they treated me with respect patience and genuine concern. Their team didn’t speak in technical riddles. They explained every step. They used blockchain analysis tools to trace the movement of my funds through several addresses.It turned out the wallet was linked to a scam platform. TRUST GEEKS HACK EXPERT worked directly with the USDT issuer and coordinated with relevant platforms to freeze the funds before they were fully laundered.In just two weeks they managed to recover $155000 in USDT.The money helped yes but it was more than that. I no longer felt powerless. I had been taken advantage of but I wasn’t alone in the fight. Thanks to TRUST GEEKS HACK EXPERT I got back not only a large part of my savings but also peace of mind a sense of dignity and hope for the future. If you ever find yourself in such situation I encourage you to contact TRUST GEEKS HACK EXPERT Email.trustgeekshackexpert{At}fastservice{Dot}com — Telegram:: Trustgeekshackexpert & W h a t's A p p +1 7 1 9 4 9 2 2 6 9 3
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15.08.25 21:04
vallatjosette
My Wild Ride: How a Wizard Hilton Cyber Tech Helped Me Recover Lost Bitcoin of 103,000 It all started when I had the misfortune of misplacing the digital wallet containing my substantial cryptocurrency holdings - a staggering 103,000 bitcoins. I had amassed this sizable fortune over the years through strategic investments and careful trading, but in a moment of carelessness, the private keys to my digital wallet had vanished. Panic set in as I grappled with the gravity of my situation - those bitcoins, worth millions at the time, were effectively lost to the ether, inaccessible and seemingly unrecoverable. Just when I had resigned myself to the devastating financial blow, a chance encounter with a self-proclaimed "digital wizard" Wizard Hilton Cyber Tech presented a glimmer of hope. This enigmatic individual, who operated in the shadowy corners of the crypto underworld, claimed to possess the arcane knowledge and skills necessary to retrieve my lost digital wealth. Intrigued and desperate, I put my skepticism aside and entrusted this mysterious wizard with the task. What followed was a wild, suspenseful journey into the depths of blockchain technology and cryptography, as the wizard navigated complex algorithms, exploited vulnerabilities, and pieced together the puzzle of my missing private keys. After days of intense effort, Wizard Hilton Cyber Tech emerged triumphant, having successfully recovered the entirety of my 103,000 bitcoin stash. The sheer relief and elation I felt in that moment was indescribable, as I regained access to my small digital fortune and was able to secure my financial future. This harrowing experience taught me the invaluable lesson of never taking the security of my cryptocurrency holdings for granted, and the importance of always maintaining the utmost diligence when it comes to protecting one's digital wealth. Email: wizardhiltoncybertech ( @ ) gmail (. ) com OR support ( @ ) wizardhiltoncybertech (.) com WhatsApp number +18737715701 Thanks.
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16.08.25 06:53
wendytaylor015
My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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16.08.25 06:53
wendytaylor015
My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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16.08.25 06:53
wendytaylor015
My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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16.08.25 07:01
lisared
Losing nearly 500,000 USDT to hackers was one of the most devastating experience of my life. I felt powerless as my hard-earned assets vanished into anonymous blockchain transactions until I found Agent Jasmine Lopez. Her deep expertise, tireless effort, and unwavering focus gave me hope and delivered results. She traced complex transactions, pursued every lead, and recovered a large portion of my stolen funds something I never thought possible. If you’ve lost digital assets, don’t give up. Contact Recoveryfundprovider@gmail. com WhatsApp at +{44 736-644-5035}. She turned my nightmare into a recovery story, and she could do the same for you.
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16.08.25 17:05
mark
I see a lot of recommendations online and it’s already obvious there are bad eggs online who will only add to your mystery. I can only recommend one and you can reach them via mail on (zattechrecovery @ gmail c0 m ) if you need help on recovering what you lost to scammers.
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17.08.25 03:33
wendytaylor015
My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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17.08.25 03:33
wendytaylor015
My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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17.08.25 05:22
aveasley4
I’m a California resident who was contacted by someone named “Lin” on WhatsApp. Our conversation eventually turned to cryptocurrency investments. Lin introduced me to a trading platform called CBOTBIT (https://cbotbit.com), walked me through setting up an account, and guided me on transferring funds. Under Lin’s direction, I began trading and was led to believe that my account was growing significantly. However, when I attempted to withdraw my funds, I was unable to do so — and shortly after, the website went offline entirely. I had invested over $340,000 in Bitcoin, planning to use it for my retirement. The experience was devastating, and I was at a loss for what to do next. Eventually, I came across [email protected] and decided to reach out. I followed their instructions, and within a few days, I was able to recover my original investment. I'm incredibly relieved and grateful for their assistance, and I recommend contacting them if you’re in a similar situation and need help recovering lost funds.
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17.08.25 17:49
marcushenderson624
Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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17.08.25 17:49
marcushenderson624
Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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17.08.25 17:49
marcushenderson624
Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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18.08.25 21:10
Connorhelms
I can honestly say losing my bitcoin savings was one of the darkest moments of my life. I had put everything I could into that investment, believing it would secure my future, only to wake up one day and realize the platform had vanished with all my funds. The feeling was indescribable, fear, shame, and helplessness all at once. I thought I’d never see that money again. Then I came across Alpha Spy Nest. At first, I was hesitant, I had already been deceived once, and the thought of trusting anyone else terrified me. But something about their professionalism and the way they patiently explained things gave me a little hope. For the first time in weeks, I felt like I wasn’t completely alone in the fight. They listened to my story without judgment, broke down the technical side in a way I could understand, and reassured me that there was still a chance. Watching them work was incredible. They traced every transaction, uncovered where my bitcoin had been moved, and kept me updated through every stage. It felt like they cared as much about my recovery as I did. The day they told me they had successfully recovered my lost savings, I actually cried. Seeing those funds back in my wallet felt unreal, it was like a huge weight had been lifted off my shoulders. Beyond just recovering my bitcoin, Alpha Spy Nest gave me back my peace of mind and restored a trust I thought I had lost forever. I’m forever grateful to them. If I hadn’t found Alpha Spy Nest, I’d still be stuck in regret and despair. Instead, I now share my story as proof that recovery is possible. You can also reach out to them via: Email: [email protected], WhatsApp: +15132924878, Telegram: https://t.me/Alphaspynest, Website: www.alphaspynest.org
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18.08.25 22:17
wendytaylor015
My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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18.08.25 22:17
wendytaylor015
My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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19.08.25 02:26
Jacksonbash
You are not alone if you have had your bitcoins taken from your wallet or if you invested in an initial coin offering (ICO) that was a scam. I experienced the same thing. I first lost $173,000 to a fraudulent investment scam company in less than five months. I was able to get all of my money in five days thanks to a hacker my friend recommended. In order to raise awareness about these cryptocurrency criminals and do my part to minimize the number of victims, I'm speaking out. To report a victim, simply send an email to [email protected].
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19.08.25 18:15
keith
RECOVER FROM CRYPTO SCAMS WITH THE HELP OF BONES RECOVERY BITCOIN EXPERT If someone needs to recover cryptocurrency that has been lost to wallet hackers, internet scammers, or BTC transferred to the wrong address, I suggest BONES RECOVERY BITCOIN, a very trustworthy recovery organization . Simply presenting my case to the expert and supplying the necessary data allowed BONES RECOVERY BITCOIN to assist me in recovering my Bitcoin. It's a relief that I recovered this much after losing considerably more to the fraudulent broker I initially put my trust in. Because we will inevitably make mistakes, we can never be diligent enough. If you have lost money to cryptocurrency scams, I strongly advise getting in touch with BONES RECOVERY BITCOIN. Contact address WhatsApp....+1-60-621-024-64 Email [email protected]
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19.08.25 18:54
patricialovick86
How To Recover Your Bitcoin Without Falling Victim To Scams: A Testimony Experience With Capital Crypto Recover Services, Contact Telegram: @Capitalcryptorecover Dear Everyone, I would like to take a moment to share my positive experience with Capital Crypto Recover Services. Initially, I was unsure if it would be possible to recover my stolen bitcoins. However, with their expertise and professionalism, I was able to fully recover my funds. Unfortunately, many individuals fall victim to scams in the cryptocurrency space, especially those involving fraudulent investment platforms. However, I advise caution, as not all recovery services are legitimate. I personally lost $273,000 worth of Bitcoin from my Binance account due to a deceptive platform. If you have suffered a similar loss, you may be considering crypto recovery, The Capital Crypto Recover is the most knowledgeable and effective Capital Crypto Recovery Services assisted me in recovering my stolen funds within 24 hours, after getting access to my wallet. Their service was not only prompt but also highly professional and effective, and many recovery services may not be trustworthy. Therefore, I highly recommend Capital Crypto Recover to you. i do always research and see reviews about their service, For assistance finding your misplaced cryptocurrency, get in touch with them, They do their jobs quickly and excellently, Stay safe and vigilant in the crypto world. Contact: [email protected] You can reach them via email at [email protected] OR Call/Text Number +1 (336)390-6684 his contact website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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19.08.25 18:54
patricialovick86
How To Recover Your Bitcoin Without Falling Victim To Scams: A Testimony Experience With Capital Crypto Recover Services, Contact Telegram: @Capitalcryptorecover Dear Everyone, I would like to take a moment to share my positive experience with Capital Crypto Recover Services. Initially, I was unsure if it would be possible to recover my stolen bitcoins. However, with their expertise and professionalism, I was able to fully recover my funds. Unfortunately, many individuals fall victim to scams in the cryptocurrency space, especially those involving fraudulent investment platforms. However, I advise caution, as not all recovery services are legitimate. I personally lost $273,000 worth of Bitcoin from my Binance account due to a deceptive platform. If you have suffered a similar loss, you may be considering crypto recovery, The Capital Crypto Recover is the most knowledgeable and effective Capital Crypto Recovery Services assisted me in recovering my stolen funds within 24 hours, after getting access to my wallet. Their service was not only prompt but also highly professional and effective, and many recovery services may not be trustworthy. Therefore, I highly recommend Capital Crypto Recover to you. i do always research and see reviews about their service, For assistance finding your misplaced cryptocurrency, get in touch with them, They do their jobs quickly and excellently, Stay safe and vigilant in the crypto world. Contact: [email protected] You can reach them via email at [email protected] OR Call/Text Number +1 (336)390-6684 his contact website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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19.08.25 18:54
patricialovick86
How To Recover Your Bitcoin Without Falling Victim To Scams: A Testimony Experience With Capital Crypto Recover Services, Contact Telegram: @Capitalcryptorecover Dear Everyone, I would like to take a moment to share my positive experience with Capital Crypto Recover Services. Initially, I was unsure if it would be possible to recover my stolen bitcoins. However, with their expertise and professionalism, I was able to fully recover my funds. Unfortunately, many individuals fall victim to scams in the cryptocurrency space, especially those involving fraudulent investment platforms. However, I advise caution, as not all recovery services are legitimate. I personally lost $273,000 worth of Bitcoin from my Binance account due to a deceptive platform. If you have suffered a similar loss, you may be considering crypto recovery, The Capital Crypto Recover is the most knowledgeable and effective Capital Crypto Recovery Services assisted me in recovering my stolen funds within 24 hours, after getting access to my wallet. Their service was not only prompt but also highly professional and effective, and many recovery services may not be trustworthy. Therefore, I highly recommend Capital Crypto Recover to you. i do always research and see reviews about their service, For assistance finding your misplaced cryptocurrency, get in touch with them, They do their jobs quickly and excellently, Stay safe and vigilant in the crypto world. Contact: [email protected] You can reach them via email at [email protected] OR Call/Text Number +1 (336)390-6684 his contact website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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20.08.25 12:01
Official
I Want To Testify About Dark Web Blank ATM Cards. What'sapp : +2348159250336 (The Official Automatic Teller Machine) They Sell Automatic Blank ATM Cards That You Can Use To Withdraw Money At Any ATM Machine Around The World Wide. Order Your Blank ATM Card Now With The Official Automatic Teller Machine. What'sapp : +2348159250336 Email Address : [email protected]
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20.08.25 17:00
lisared
Few months ago I experienced one of the most devastating moments of my life €300k was stolen by hackers . When my money was stolen I felt hopeless, until I was introduced to Agent Jasmine Lopez her expertise and dedication gave me peace of mind. She skillfully traced complex transactions and tracked down the scammers, which would have been impossible for me to do on my own. Thanks to her tireless efforts, I was able to recover a significant portion of my lost funds. If you've fallen victim of hackers, I highly recommend reaching out to her. You can contact her via email at Recoveryfundprovider@gmail. com WhatsApp at +{44 736-644-5035}. Her attention to detail and commitment to her work are truly impressive. Don't hesitate to reach out her expertise could be the key to recovering your lost funds.
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20.08.25 20:42
vallatjosette
My Wild Ride: How a Wizard Hilton Cyber Tech Helped Me Recover Lost Bitcoin of 103,000 It all started when I had the misfortune of misplacing the digital wallet containing my substantial cryptocurrency holdings - a staggering 103,000 bitcoins. I had amassed this sizable fortune over the years through strategic investments and careful trading, but in a moment of carelessness, the private keys to my digital wallet had vanished. Panic set in as I grappled with the gravity of my situation - those bitcoins, worth millions at the time, were effectively lost to the ether, inaccessible and seemingly unrecoverable. Just when I had resigned myself to the devastating financial blow, a chance encounter with a self-proclaimed "digital wizard" Wizard Hilton Cyber Tech presented a glimmer of hope. This enigmatic individual, who operated in the shadowy corners of the crypto underworld, claimed to possess the arcane knowledge and skills necessary to retrieve my lost digital wealth. Intrigued and desperate, I put my skepticism aside and entrusted this mysterious wizard with the task. What followed was a wild, suspenseful journey into the depths of blockchain technology and cryptography, as the wizard navigated complex algorithms, exploited vulnerabilities, and pieced together the puzzle of my missing private keys. After days of intense effort, Wizard Hilton Cyber Tech emerged triumphant, having successfully recovered the entirety of my 103,000 bitcoin stash. The sheer relief and elation I felt in that moment was indescribable, as I regained access to my small digital fortune and was able to secure my financial future. This harrowing experience taught me the invaluable lesson of never taking the security of my cryptocurrency holdings for granted, and the importance of always maintaining the utmost diligence when it comes to protecting one's digital wealth. Email: wizardhiltoncybertech ( @ ) gmail (. ) com OR support ( @ ) wizardhiltoncybertech (.) com WhatsApp number +18737715701 Thanks.
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21.08.25 01:54
michaeldavenport218
I was recently scammed out of $53,000 by a fraudulent Bitcoin investment scheme, which added significant stress to my already difficult health issues, as I was also facing cancer surgery expenses. Desperate to recover my funds, I spent hours researching and consulting other victims, which led me to discover the excellent reputation of Capital Crypto Recover, I came across a Google post It was only after spending many hours researching and asking other victims for advice that I discovered Capital Crypto Recovery’s stellar reputation. I decided to contact them because of their successful recovery record and encouraging client testimonials. I had no idea that this would be the pivotal moment in my fight against cryptocurrency theft. Thanks to their expert team, I was able to recover my lost cryptocurrency back. The process was intricate, but Capital Crypto Recovery's commitment to utilizing the latest technology ensured a successful outcome. I highly recommend their services to anyone who has fallen victim to cryptocurrency fraud. For assistance contact [email protected] and on Telegram OR Call Number +1 (336)390-6684 via email: [email protected] you can visit his website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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21.08.25 01:54
michaeldavenport218
I was recently scammed out of $53,000 by a fraudulent Bitcoin investment scheme, which added significant stress to my already difficult health issues, as I was also facing cancer surgery expenses. Desperate to recover my funds, I spent hours researching and consulting other victims, which led me to discover the excellent reputation of Capital Crypto Recover, I came across a Google post It was only after spending many hours researching and asking other victims for advice that I discovered Capital Crypto Recovery’s stellar reputation. I decided to contact them because of their successful recovery record and encouraging client testimonials. I had no idea that this would be the pivotal moment in my fight against cryptocurrency theft. Thanks to their expert team, I was able to recover my lost cryptocurrency back. The process was intricate, but Capital Crypto Recovery's commitment to utilizing the latest technology ensured a successful outcome. I highly recommend their services to anyone who has fallen victim to cryptocurrency fraud. For assistance contact [email protected] and on Telegram OR Call Number +1 (336)390-6684 via email: [email protected] you can visit his website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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21.08.25 01:54
michaeldavenport218
I was recently scammed out of $53,000 by a fraudulent Bitcoin investment scheme, which added significant stress to my already difficult health issues, as I was also facing cancer surgery expenses. Desperate to recover my funds, I spent hours researching and consulting other victims, which led me to discover the excellent reputation of Capital Crypto Recover, I came across a Google post It was only after spending many hours researching and asking other victims for advice that I discovered Capital Crypto Recovery’s stellar reputation. I decided to contact them because of their successful recovery record and encouraging client testimonials. I had no idea that this would be the pivotal moment in my fight against cryptocurrency theft. Thanks to their expert team, I was able to recover my lost cryptocurrency back. The process was intricate, but Capital Crypto Recovery's commitment to utilizing the latest technology ensured a successful outcome. I highly recommend their services to anyone who has fallen victim to cryptocurrency fraud. For assistance contact [email protected] and on Telegram OR Call Number +1 (336)390-6684 via email: [email protected] you can visit his website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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21.08.25 14:56
elainemurray
E.M.A.I.L. [email protected] W.h.a.t.s.A.p.p. +1(561)(726)(3697) It all began with an Instagram advertisement. A man presented himself as a cryptocurrency investment coach, showcasing a luxurious lifestyle and screenshots of substantial profits. He claimed his trading algorithm could double any investment in a week. Curious, I decided to reach out to him. He said the minimum investment was $50,000 and sent me a link to a platform that looked legitimate. At first, everything seemed promising. My balance increased steadily, charts showed growth, and I felt excited. When I tried to withdraw the money, the system blocked the transaction and demanded a release fee of $15,000. I paid it, but my account was soon marked under review, and the coach stopped responding. I realised I had been scammed. Desperate, I turned to Techy Force Cyber Retrieval. From the first consultation, they carefully reviewed my case and assured me the funds could be traced. They explained how they would track the wallet addresses and follow the path of the stolen money. Their clear guidance made me feel confident. Over the next few weeks, Techy Force Cyber Retrieval kept me updated on every step. They traced the transactions. Their persistence and expertise were obvious, and I could see real progress. Even when the process felt slow, Techy Force Cyber Retrieval maintained clear communication. They explained each action and why it mattered. Their careful attention made the ordeal manageable and reassuring. A month later, thanks to Techy Force Cyber Retrieval, I was able to recover 80% of my money and have it safely returned to my bank account. Relief and gratitude overwhelmed me. What started as a tempting opportunity had turned into a stressful ordeal, but Techy Force Cyber Retrieval transformed it into a successful resolution.
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21.08.25 21:17
monte5757
I went through one of the most painful experiences of my life I lost over $850,000 to scammers. They had no mercy,things got so bad that I even sold some of my properties just to keep up with their demands. At one point, I felt completely hopeless and trapped. But everything changed when I came across a legit recovery agent who actually helped me recover my funds and return them safely to my wallet. It was like getting my life back. If you’ve ever been scammed, please don’t give up. Reach out to Recoveryfundprovider [at] gmail [dot] com WhatsApp at +{44 736-644-5035}.she’s professional, reliable, and truly knows how to get results. I’m genuinely grateful I found her, and I believe you’ll thank me later too.
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22.08.25 08:00
wendytaylor015
My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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22.08.25 08:00
wendytaylor015
My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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22.08.25 08:00
wendytaylor015
My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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05:11
ramiroalcazar
A hacker skillfully impersonated one of our clients’ trusted suppliers and manipulated their finance department into transferring $180,000 worth of Bitcoin. The request appeared authentic, reinforced by falsified documents and meticulously crafted communication that mirrored the supplier’s established style. By the time the company uncovered the deception, the funds had already been funneled through numerous digital wallets. When they appealed to their bank for assistance, they were told recovery was impossible since cryptocurrency transactions are irreversible. The company suddenly faced the prospect of financial ruin. Confronted with this devastating loss, the client sought a specialized solution and turned to Techy Force Cyber Retrieval. From the initial consultation, our team demonstrated that hope remained. Unlike the bank, which dismissed their plea, Techy Force Cyber Retrieval meticulously analyzed every aspect of the fraud and assured the client that our blockchain specialists had the tools to trace and potentially reclaim the stolen assets. Our investigation began with a comprehensive audit of the fraudulent transactions. Using advanced blockchain forensics, Techy Force Cyber Retrieval’s analysts traced the stolen Bitcoin across a labyrinth of wallets and exchanges. Every development was documented with precision, and regular updates were delivered to the client, ensuring transparency and trust. This combination of technical mastery and clear communication provided reassurance during an otherwise overwhelming crisis. After persistent tracking and strategic intervention, Techy Force Cyber Retrieval achieved a remarkable outcome. From the original $180,000 that had been siphoned away, our team successfully recovered the equivalent of $160,000 in USDT. This restitution enabled the company to meet payroll obligations, stabilize its operations, and avert what had seemed like an inevitable collapse. What distinguished Techy Force Cyber Retrieval in the eyes of the client was not only our technical expertise but also our dedication and professionalism. We approached the case with urgency, maintained open communication at every stage, and treated the recovery effort with the utmost seriousness. At a moment when the client felt powerless, Techy Force Cyber Retrieval restored both their assets and their confidence. Now, victims of cryptocurrency fraud do not have to accept total loss. With the right expertise, recovery is achievable. Techy Force Cyber Retrieval stands as proof that even in situations deemed hopeless, we can deliver tangible results and provide businesses and individuals with a genuine second chance. CONSULT TECHY FORCE CYBER RETRIEVAL FOR A GREAT SOLUTION RECOVERY......... WHATSAPP.......... +15617263697 WEBSITE......... https://techyforcecyberretrieval.com
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