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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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02.11.25 10:56
Christopherbelle
I suffered a crushing blow when $45,000 slipped away in a phony crypto scam. It all looked great at first. But when I went to pull out my gains, my account just vanished. I called the cops over and over. Still, no luck. I felt shattered and lost. That’s when I stumbled on Sylvester Bryant Intelligence. Things turned around fast. Right away, they showed real openness, sharp skills, and a drive to fix it. They tracked my missing money step by step. And they pushed hard until they got it back. I honestly didn’t believe it could happen. Their straight-up approach and solid work brought back my calm. If a scam took your crypto, reach out to them now. yt7cracker@gmail . com | WhatsApp: +1 512 577 7957 or +44 7428 662701
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02.11.25 15:23
michaeldavenport238
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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02.11.25 15:23
michaeldavenport238
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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04.11.25 04:59
Christopherbelle
How to Recover Bitcoin Stolen by a Scammer I dropped £75,000 into a fake crypto scheme. Everything seemed perfect right from the start. But when I tried to cash out my profits, the whole account disappeared. I rang the police time and again. They offered no help at all. I felt broken and alone. Then I found Sylvester Bryant Intelligence. My luck changed in no time. They spoke plainly, worked smart, and focused on my case. They followed the trail of my lost cash bit by bit. They fought until they recovered it all. I never thought it was possible. Their honest approach and expertise restored my peace. If a scam has stolen your crypto, contact them now. [email protected] | WhatsApp: +1 512 577 7957 or +44 7428 662701
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04.11.25 09:30
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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04.11.25 09:30
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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05.11.25 02:43
jordan_11
I made a mistake of not researching about their their investment firm(Binary option), it had a lot of promises which made me fall for all their fake promises , after trying to get my withdrawal out from there, I started having a lot of difficulties. Then I contacted their customer support, they only replied a week after and strangely wanted me to make more deposits just to enable my withdrawal, so i started my research of how I could report this treacherous company to the necessary authorities and also maybe i could get back my investment, The only people that were willing to help me out was Treqora Intel, their customer support replied so fast and immediately directed me to their investigative team which took my up my case and started the tracing and reclaim process with swift, after a week i got an email from Treqora Intel stating that a partial amount had been reclaimed, I was so grateful about their help , then I was asked to decide if I wanted a Partial deposit or wanted all my investment reclaimed and sent to me at once, But I was so desperate at the time so I asked that my partial reclaimed ETH be sent to me first , So the deposit took about few minutes before i got it in my wallet and withdrew it. Then my remaining investment took 2 weeks to get back according to their customer support at Treqora Intel. Immediately They got it, I was contacted again Via email that my reclaimed had been fully reclaimed, so grateful till this day to Treqora Intel for taking their time to help me out with what could have been a very depressing moment to me. And yes no upfront payment until the reclaim has been completed and you've been paid fully. Email:support@treqora. com 📱 WhatsApp: +1 (7 7 3) 9 7 7 - 7 8 7 7 🌐 Website: Treqora. com.
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05.11.25 02:44
jordan_11
Crypto Recovery Services _Hire Treqora Intel
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05.11.25 02:48
jordan_11
Legitimate Crypto Recovery Companies-CONSULT TREQORA INTEL. After falling victim to a crypt0currency scam group, I lost $35,000 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 rec0vermy stolen funds and I came across a lot of testimonials online about TREQORA INTEL , an agent who helps in rec0ver of lost bitc0in funds, I contacted TREQORA INTEL , and with their expertise, they successfully traced and rec0vered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and rec0very protocols. They are trusted and very reliable with a 100% successful rate record Rec0very bitc0in, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypt0. Email:support@treqora. com Whats_App: +1 (7 7 3 ) 9 7 7 - 7 8 7 7 , Website: Treqora dot com.
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05.11.25 16:20
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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05.11.25 16:21
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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07.11.25 02:26
MATT PHILLIP
I never imagined I’d fall for a crypto romance scam but it happened. Over the course of a few months, I sent nearly $184,000 worth of Bitcoin to someone I genuinely believed I was building a future with. When they disappeared without a trace, I was left heartbroken, humiliated, and financially devastated. For a long time, I didn’t tell anyone. I felt ashamed. But eventually, while searching for answers, I came across a Reddit thread that mentioned Agent Jasmine Lopez a crypto recovery agent. I reached out, not expecting much. To my surprise, she treated me with kindness, not judgment. She used advanced tools like blockchain forensics, IP tracing, and smart contract analysis and with persistence and legal support, she was able to recover nearly 85% of what I lost. I know not everyone gets that kind of outcome, but thanks to [email protected] WhatsApp at +44 736-644-5035, I’ve started to reclaim not just my assets, but my confidence and peace of mind. If you’re going through something similar, you’re not alone and there is hope.
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07.11.25 09:33
Christopherbelle
How to Recover Bitcoin Stolen by a Scammer I dropped £75,000 into a fake crypto scheme. Everything seemed perfect right from the start. But when I tried to cash out my profits, the whole account disappeared. I rang the police time and again. They offered no help at all. I felt broken and alone. Then I found Sylvester Bryant Intelligence. My luck changed in no time. They spoke plainly, worked smart, and focused on my case. They followed the trail of my lost cash bit by bit. They fought until they recovered it all. I never thought it was possible. Their honest approach and expertise restored my peace. If a scam has stolen your crypto, contact them now. yt7cracker@gmail. com | WhatsApp: +1 512 577 7957 or +44 7428 662701
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07.11.25 16:05
MATT PHILLIP
I never imagined I’d fall for a crypto romance scam but it happened. Over the course of a few months, I sent nearly $184,000 worth of Bitcoin to someone I genuinely believed I was building a future with. When they disappeared without a trace, I was left heartbroken, humiliated, and financially devastated. For a long time, I didn’t tell anyone. I felt ashamed. But eventually, while searching for answers, I came across a Reddit thread that mentioned Agent Jasmine Lopez a crypto recovery agent. I reached out, not expecting much. To my surprise, she treated me with kindness, not judgment. She used advanced tools like blockchain forensics, IP tracing, and smart contract analysis and with persistence and legal support, she was able to recover nearly 85% of what I lost. I know not everyone gets that kind of outcome, but thanks to [email protected] WhatsApp at +44 736-644-5035, I’ve started to reclaim not just my assets, but my confidence and peace of mind. If you’re going through something similar, you’re not alone and there is hope.
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07.11.25 23:15
Christopherbelle
How to Recover Bitcoin Stolen by a Scammer; I dropped £75,000 into a fake crypto scheme. Everything seemed perfect right from the start. But when I tried to cash out my profits, the whole account disappeared. I rang the police time and again. They offered no help at all. I felt broken and alone. Then I found Sylvester Bryant Intelligence. My luck changed in no time. They spoke plainly, worked smart, and focused on my case. They followed the trail of my lost cash bit by bit. They fought until they recovered it all. I never thought it was possible. Their honest approach and expertise restored my peace. If a scam has stolen your crypto, contact them now. yt7cracker@gmail. com | WhatsApp: +1 512 577 7957 or +44 7428 662701
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07.11.25 23:30
harristhomas7376
"In the crypto world, this is great news I want to share. Last year, I fell victim to a scam disguised as a safe investment option. I have invested in crypto trading platforms for about 10yrs thinking I was ensuring myself a retirement income, only to find that all my assets were either frozen, I believed my assets were secure — until I discovered that my BTC funds had been frozen and withdrawals were impossible. It was a devastating moment when I realized I had been scammed, and I thought my Bitcoin was gone forever, Everything changed when a close friend recommended the Capital Crypto Recover Service. Their professionalism, expertise, and dedication enabled me to recover my lost Bitcoin funds back — more than €560.000 DEM to my BTC wallet. What once felt impossible became a reality thanks to their support. If you have lost Bitcoin through scams, hacking, failed withdrawals, or similar challenges, don’t lose hope. I strongly recommend Capital Crypto Recover Service to anyone seeking a reliable and effective solution for recovering any wallet assets. They have a proven track record of successful reputation in recovering lost password assets for their clients and can help you navigate the process of recovering your funds. Don’t let scammers get away with your hard-earned money – contact Email: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Contact: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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07.11.25 23:30
harristhomas7376
"In the crypto world, this is great news I want to share. Last year, I fell victim to a scam disguised as a safe investment option. I have invested in crypto trading platforms for about 10yrs thinking I was ensuring myself a retirement income, only to find that all my assets were either frozen, I believed my assets were secure — until I discovered that my BTC funds had been frozen and withdrawals were impossible. It was a devastating moment when I realized I had been scammed, and I thought my Bitcoin was gone forever, Everything changed when a close friend recommended the Capital Crypto Recover Service. Their professionalism, expertise, and dedication enabled me to recover my lost Bitcoin funds back — more than €560.000 DEM to my BTC wallet. What once felt impossible became a reality thanks to their support. If you have lost Bitcoin through scams, hacking, failed withdrawals, or similar challenges, don’t lose hope. I strongly recommend Capital Crypto Recover Service to anyone seeking a reliable and effective solution for recovering any wallet assets. They have a proven track record of successful reputation in recovering lost password assets for their clients and can help you navigate the process of recovering your funds. Don’t let scammers get away with your hard-earned money – contact Email: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Contact: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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07.11.25 23:32
Christopherbelle
How to Recover Bitcoin Stolen by a Scammer; I dropped £75,000 into a fake crypto scheme. Everything seemed perfect right from the start. But when I tried to cash out my profits, the whole account disappeared. I rang the police time and again. They offered no help at all. I felt broken and alone. Then I found Sylvester Bryant Intelligence. My luck changed in no time. They spoke plainly, worked smart, and focused on my case. They followed the trail of my lost cash bit by bit. They fought until they recovered it all. I never thought it was possible. Their honest approach and expertise restored my peace. If a scam has stolen your crypto, contact them now. yt7cracker@gmail. com | WhatsApp: +1 512 577 7957 or +44 7428 662701
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07.11.25 23:34
Christopherbelle
How to Recover Bitcoin Stolen by a Scammer; I dropped £75,000 into a fake crypto scheme. Everything seemed perfect right from the start. But when I tried to cash out my profits, the whole account disappeared. I rang the police time and again. They offered no help at all. I felt broken and alone. Then I found Sylvester Bryant Intelligence. My luck changed in no time. They spoke plainly, worked smart, and focused on my case. They followed the trail of my lost cash bit by bit. They fought until they recovered it all. I never thought it was possible. Their honest approach and expertise restored my peace. If a scam has stolen your crypto, contact them now. yt7cracker@gmail. com | WhatsApp: +1 512 577 7957 or +44 7428 662701
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09.11.25 03:29
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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09.11.25 03:29
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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10.11.25 05:06
Christopherbelle
I lost $52,000 in USDT to a scam. That hit me hard. USDT is a stable cryptocurrency tied to the US dollar. It keeps its value steady. I thought I had found a sure way to grow my money. Things looked good at first. I even built up profits to $120,000. But when I went to pull out my earnings, the platform blocked me. No access. No funds. Panic set in. I felt trapped and helpless. Scams like this target crypto users all the time. They promise quick gains. Then they vanish with your money. Each year, people lose billions to these tricks. I searched for help everywhere. Forums, support groups. Nothing worked. That's when a friend stepped in. He had faced a similar mess before. He told me about Sylvester Bryant. My friend swore by his skills. So I reached out right away. His email is [email protected]. Sylvester Bryant turned it all around. He listened to my story without judgment. His team got to work fast. They started by reviewing every detail of the scam. Step by step, they traced the path of my stolen USDT. They used tools to follow the blockchain. That's the public record of crypto transactions. It shows where funds move. But scammers hide their tracks. Bryant's group dug deep. They contacted exchanges and networks involved. Day after day, they pushed forward. No shortcuts. They kept me updated the whole time. Every email, every call was clear and honest. In the end, they recovered my full amount. That $52,000 came back to me. The process took focus and grit. Bryant's honesty stood out. He charged no hidden fees. Just straight work for results. My stress melted away. I could breathe again. Sleep came easier. My trust in recovery options grew. If a scam has taken your money, act now. Reach out to Sylvester Bryant. He handles cases like this with care. Email him at [email protected]. Or on WhatsApp at +1 512 577 7957 or +44 7428 662701. Don't wait. Get your funds back.
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10.11.25 14:28
MATT PHILLIP
I never imagined I’d fall for a crypto romance scam but it happened. Over the course of a few months, I sent nearly $184,000 worth of Bitcoin to someone I genuinely believed I was building a future with. When they disappeared without a trace, I was left heartbroken, humiliated, and financially devastated. For a long time, I didn’t tell anyone. I felt ashamed. But eventually, while searching for answers, I came across a Reddit thread that mentioned Agent Jasmine Lopez a crypto recovery agent. I reached out, not expecting much. To my surprise, she treated me with kindness, not judgment. She used advanced tools like blockchain forensics, IP tracing, and smart contract analysis and with persistence and legal support, she was able to recover nearly 85% of what I lost. I know not everyone gets that kind of outcome, but thanks to [email protected] WhatsApp at +44 736-644-5035, I’ve started to reclaim not just my assets, but my confidence and peace of mind. If you’re going through something similar, you’re not alone and there is hope.
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10.11.25 21:52
ashley11
Legitimate crypto recovery companies in Australia - HIRE TREQORA INTEL
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10.11.25 21:53
ashley11
Legitimate crypto recovery companies in Australia - HIRE TREQORA INTEL Sometimes, life can be unpredictable and present us with unexpected twists and turns. On October 15, 2025, I had an experience that taught me a valuable lesson about the importance of vigilance and caution in the digital age. It began when I met someone on TikTok who claimed to have a surefire way to generate significant profits from Ethereum investments. The individual, who went by the name of Mr. Oscar, presented himself as a financial expert with a proven track record of success. Intrigued by the promise of easy money, I decided to invest a substantial amount of my savings into the Ethereum venture. However, I soon discovered that I had fallen victim to a sophisticated scam. Mr. Oscar had fake credentials and a history of deceiving numerous people, leaving them financially devastated and feeling betrayed, I thought I had lost my investment forever. But I was determined to recover my stolen Ethereum and sought help from a reputable firm specializing in cybersecurity. That's when I stumbled upon Treqora Intel, a company with a stellar reputation for assisting victims of online scams. With the support of Treqora Intel , I was able to recover my lost funds in a remarkably short period. Their team of experts was efficient, responsive, and empathetic, making the recovery process as smooth as possible. I was impressed by their professionalism and commitment to helping individuals like me who have been affected by online scams. This experience has taught me to be more cautious when interacting with strangers online, especially when it comes to investment opportunities that seem too good to be true. It has also reminded me of the importance of verifying the credibility of individuals and companies before making any financial decisions. I am grateful to TREQORA INTEL for their assistance and hope that my story can serve as a warning to others to be vigilant in the online world. By being aware of the potential risks and taking necessary precautions, we can protect ourselves from falling prey to scams and ensure a safer online experience.Email:support@treqora. com Whats_App: +1 (7 7 3 ) 9 7 7 - 7 8 7 7 , Website: Treqora. com.
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11.11.25 06:47
MATT PHILLIP
I never imagined I’d fall for a crypto romance scam but it happened. Over the course of a few months, I sent nearly $184,000 worth of Bitcoin to someone I genuinely believed I was building a future with. When they disappeared without a trace, I was left heartbroken, humiliated, and financially devastated. For a long time, I didn’t tell anyone. I felt ashamed. But eventually, while searching for answers, I came across a Reddit thread that mentioned Agent Jasmine Lopez a crypto recovery agent. I reached out, not expecting much. To my surprise, she treated me with kindness, not judgment. She used advanced tools like blockchain forensics, IP tracing, and smart contract analysis and with persistence and legal support, she was able to recover nearly 85% of what I lost. I know not everyone gets that kind of outcome, but thanks to [email protected] WhatsApp at +44 736-644-5035, I’ve started to reclaim not just my assets, but my confidence and peace of mind. If you’re going through something similar, you’re not alone and there is hope.
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11.11.25 08:34
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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11.11.25 08:34
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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11.11.25 08:34
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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11.11.25 11:15
[email protected]
A scam cost me $72,000 in USDT. It shook me up. USDT is a stablecoin linked to the dollar. Its value stays even. I believed I found a safe path to build my wealth. At the start, all seemed fine. My account grew to $120,000 in profits. But when I tried to withdraw, the site locked me out. No way to get in. No money left. Fear took over. I felt stuck and alone. These frauds hit crypto investors often. They lure with fast riches. Then they steal your cash and disappear. Billions vanish each year from such schemes. I looked for aid in every spot. Online boards. Help chats. None helped. Then a buddy offered support. He had dealt with the same issue once. He mentioned Sylvester Bryant. My friend praised his expertise. I contacted him at once. His email is [email protected]. Sylvester Bryant changed everything. He heard my tale with no blame. His crew jumped in quickly. They checked all scam details first. One by one, they followed my lost USDT trail. They used software to track the blockchain. That is the open log of coin transfers. It reveals fund paths. Scammers try to cover their steps. Bryant's team went far. They reached out to related platforms and services. Each day brought progress. No easy ways. They shared updates with me always. Each message and talk stayed open and true. Finally, they got back every dollar. My $52,000 returned whole. The effort needed drive and resolve. Bryant's fairness shone through. He added no secret costs. Only fair pay for the job. My worry faded. I relaxed once more. Nights grew calm. My faith in recovery grew strong. If fraud stole your funds, move fast. Contact Sylvester Bryant. He treats such cases with skill. Email at [email protected]. Or use WhatsApp at +1 512 577 7957 or +44 7428 662701. Do not delay. Reclaim what is yours.
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11.11.25 13:36
MATT PHILLIP
I never imagined I’d fall for a crypto romance scam but it happened. Over the course of a few months, I sent nearly $184,000 worth of Bitcoin to someone I genuinely believed I was building a future with. When they disappeared without a trace, I was left heartbroken, humiliated, and financially devastated. For a long time, I didn’t tell anyone. I felt ashamed. But eventually, while searching for answers, I came across a Reddit thread that mentioned Agent Jasmine Lopez a crypto recovery agent. I reached out, not expecting much. To my surprise, she treated me with kindness, not judgment. She used advanced tools like blockchain forensics, IP tracing, and smart contract analysis and with persistence and legal support, she was able to recover nearly 85% of what I lost. I know not everyone gets that kind of outcome, but thanks to [email protected] WhatsApp at +44 736-644-5035, I’ve started to reclaim not just my assets, but my confidence and peace of mind. If you’re going through something similar, you’re not alone and there is hope.
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11.11.25 15:16
[email protected]
A scam cost me $72,000 in USDT. It shook me up. USDT is a stablecoin linked to the dollar. Its value stays even. I believed I found a safe path to build my wealth. At the start, all seemed fine. My account grew to $120,000 in profits. But when I tried to withdraw, the site locked me out. No way to get in. No money left. Fear took over. I felt stuck and alone. These frauds hit crypto investors often. They lure with fast riches. Then they steal your cash and disappear. Billions vanish each year from such schemes. I looked for aid in every spot. Online boards. Help chats. None helped. Then a buddy offered support. He had dealt with the same issue once. He mentioned Sylvester Bryant. My friend praised his expertise. I contacted him at once. His email is [email protected]. Sylvester Bryant changed everything. He heard my tale with no blame. His crew jumped in quickly. They checked all scam details first. One by one, they followed my lost USDT trail. They used software to track the blockchain. That is the open log of coin transfers. It reveals fund paths. Scammers try to cover their steps. Bryant's team went far. They reached out to related platforms and services. Each day brought progress. No easy ways. They shared updates with me always. Each message and talk stayed open and true. Finally, they got back every dollar. My $52,000 returned whole. The effort needed drive and resolve. Bryant's fairness shone through. He added no secret costs. Only fair pay for the job. My worry faded. I relaxed once more. Nights grew calm. My faith in recovery grew strong. If fraud stole your funds, move fast. Contact Sylvester Bryant. He treats such cases with skill. Email at [email protected]. Or use WhatsApp at +1 512 577 7957 or +44 7428 662701. Do not delay. Reclaim what is yours.
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11.11.25 15:36
peggy09
Crypto theft surges, with billions lost yearly. DIY fixes flop due to tech and legal walls. Standard reports gather dust without pros. Anthony Davies changes that. As the best funds recovery expert, his tracing, partnerships, and methods reclaim hacked wallet assets. He maximizes your shot at getting back stolen cryptocurrency. If you've been hit, reach out to Anthony Davies today. Every minute counts in this fight. Start your recovery journey now—don't let thieves win.Crypto theft surges, with billions lost yearly. DIY fixes flop due to tech and legal walls. Standard reports gather dust without pros. Anthony Davies changes that. As the best funds recovery expert, his tracing, partnerships, and methods reclaim hacked wallet assets. He maximizes your shot at getting back stolen cryptocurrency. If you've been hit, reach out to Anthony Davies today. Every minute counts in this fight. Start your recovery journey now—don't let thieves win. reach him at anthonydaviestech@gmail dot com or telegram anthonydavies
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11.11.25 19:28
elizabethrush89
God bless Capital Crypto Recover Services for the marvelous work you did in my life, I have learned the hard way that even the most sensible investors can fall victim to scams. When my USD was stolen, for anyone who has fallen victim to one of the bitcoin binary investment scams that are currently ongoing, I felt betrayal and upset. But then I was reading a post on site when I saw a testimony of Wendy Taylor online who recommended that Capital Crypto Recovery has helped her recover scammed funds within 24 hours. after reaching out to this cyber security firm that was able to help me recover my stolen digital assets and bitcoin. I’m genuinely blown away by their amazing service and professionalism. I never imagined I’d be able to get my money back until I complained to Capital Crypto Recovery Services about my difficulties and gave all of the necessary paperwork. I was astounded that it took them 12 hours to reclaim my stolen money back. Without a doubt, my USDT assets were successfully recovered from the scam platform, Thank you so much Sir, I strongly recommend Capital Crypto Recover for any of your bitcoin recovery, digital funds recovery, hacking, and cybersecurity concerns. You reach them Call/Text Number +1 (336)390-6684 His Email: [email protected] Contact Telegram: @Capitalcryptorecover Via Contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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11.11.25 19:29
elizabethrush89
God bless Capital Crypto Recover Services for the marvelous work you did in my life, I have learned the hard way that even the most sensible investors can fall victim to scams. When my USD was stolen, for anyone who has fallen victim to one of the bitcoin binary investment scams that are currently ongoing, I felt betrayal and upset. But then I was reading a post on site when I saw a testimony of Wendy Taylor online who recommended that Capital Crypto Recovery has helped her recover scammed funds within 24 hours. after reaching out to this cyber security firm that was able to help me recover my stolen digital assets and bitcoin. I’m genuinely blown away by their amazing service and professionalism. I never imagined I’d be able to get my money back until I complained to Capital Crypto Recovery Services about my difficulties and gave all of the necessary paperwork. I was astounded that it took them 12 hours to reclaim my stolen money back. Without a doubt, my USDT assets were successfully recovered from the scam platform, Thank you so much Sir, I strongly recommend Capital Crypto Recover for any of your bitcoin recovery, digital funds recovery, hacking, and cybersecurity concerns. You reach them Call/Text Number +1 (336)390-6684 His Email: [email protected] Contact Telegram: @Capitalcryptorecover Via Contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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12.11.25 04:09
[email protected]
A scam cost me $72,000 in USDT. It shook me up. USDT is a stablecoin linked to the dollar. Its value stays even. I believed I found a safe path to build my wealth. At the start, all seemed fine. My account grew to $120,000 in profits. But when I tried to withdraw, the site locked me out. No way to get in. No money left. Fear took over. I felt stuck and alone. These frauds hit crypto investors often. They lure with fast riches. Then they steal your cash and disappear. Billions vanish each year from such schemes. I looked for aid in every spot. Online boards. Help chats. None helped. Then a buddy offered support. He had dealt with the same issue once. He mentioned Sylvester Bryant. My friend praised his expertise. I contacted him at once. His email is [email protected]. Sylvester Bryant changed everything. He heard my tale with no blame. His crew jumped in quickly. They checked all scam details first. One by one, they followed my lost USDT trail. They used software to track the blockchain. That is the open log of coin transfers. It reveals fund paths. Scammers try to cover their steps. Bryant's team went far. They reached out to related platforms and services. Each day brought progress. No easy ways. They shared updates with me always. Each message and talk stayed open and true. Finally, they got back every dollar. My $52,000 returned whole. The effort needed drive and resolve. Bryant's fairness shone through. He added no secret costs. Only fair pay for the job. My worry faded. I relaxed once more. Nights grew calm. My faith in recovery grew strong. If fraud stole your funds, move fast. Contact Sylvester Bryant. He treats such cases with skill. Email at [email protected]. Or use WhatsApp at +1 512 577 7957 or +44 7428 662701. Do not delay. Reclaim what is yours.
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12.11.25 04:10
[email protected]
A scam cost me $72,000 in USDT. It shook me up. USDT is a stablecoin linked to the dollar. Its value stays even. I believed I found a safe path to build my wealth. At the start, all seemed fine. My account grew to $120,000 in profits. But when I tried to withdraw, the site locked me out. No way to get in. No money left. Fear took over. I felt stuck and alone. These frauds hit crypto investors often. They lure with fast riches. Then they steal your cash and disappear. Billions vanish each year from such schemes. I looked for aid in every spot. Online boards. Help chats. None helped. Then a buddy offered support. He had dealt with the same issue once. He mentioned Sylvester Bryant. My friend praised his expertise. I contacted him at once. His email is [email protected]. Sylvester Bryant changed everything. He heard my tale with no blame. His crew jumped in quickly. They checked all scam details first. One by one, they followed my lost USDT trail. They used software to track the blockchain. That is the open log of coin transfers. It reveals fund paths. Scammers try to cover their steps. Bryant's team went far. They reached out to related platforms and services. Each day brought progress. No easy ways. They shared updates with me always. Each message and talk stayed open and true. Finally, they got back every dollar. My $52,000 returned whole. The effort needed drive and resolve. Bryant's fairness shone through. He added no secret costs. Only fair pay for the job. My worry faded. I relaxed once more. Nights grew calm. My faith in recovery grew strong. If fraud stole your funds, move fast. Contact Sylvester Bryant. He treats such cases with skill. Email at [email protected]. Or use WhatsApp at +1 512 577 7957 or +44 7428 662701. Do not delay. Reclaim what is yours.
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12.11.25 05:07
peggy09
Anthony Davies stands out in the world of crypto recovery. His skills come from years of hands-on work with blockchain tech. He helps people get back what thieves took, often against tough odds. i once lost $200000 to a fake broker site, anthony stood out as the only person who was able to get back my funds. you can contact him by sending an email to; anthonydaviestech @ gma1l com
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12.11.25 09:37
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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12.11.25 09:37
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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13.11.25 19:01
peggy09
i Lost $200,000 to a phishing scam in 2022. Funds went to a mixer service. Davies traced 70% through Ethereum layers. He teamed with an exchange to freeze the rest. i got $140,000 back in six months. Hiring Davies means clear steps. You share details. He checks facts. Then, the hunt begins. Expect ups and downs, but his plan keeps it steady. you can reach out to him by sending an email to anthonydaviestech {@} gmail com
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13.11.25 20:05
[email protected]
A scam cost me $72,000 in USDT. It shook me up. USDT is a stablecoin linked to the dollar. Its value stays even. I believed I found a safe path to build my wealth. At the start, all seemed fine. My account grew to $120,000 in profits. But when I tried to withdraw, the site locked me out. No way to get in. No money left. Fear took over. I felt stuck and alone. These frauds hit crypto investors often. They lure with fast riches. Then they steal your cash and disappear. Billions vanish each year from such schemes. I looked for aid in every spot. Online boards. Help chats. None helped. Then a buddy offered support. He had dealt with the same issue once. He mentioned Sylvester Bryant. My friend praised his expertise. I contacted him at once. His email is [email protected]. Sylvester Bryant changed everything. He heard my tale with no blame. His crew jumped in quickly. They checked all scam details first. One by one, they followed my lost USDT trail. They used software to track the blockchain. That is the open log of coin transfers. It reveals fund paths. Scammers try to cover their steps. Bryant's team went far. They reached out to related platforms and services. Each day brought progress. No easy ways. They shared updates with me always. Each message and talk stayed open and true. Finally, they got back every dollar. My $52,000 returned whole. The effort needed drive and resolve. Bryant's fairness shone through. He added no secret costs. Only fair pay for the job. My worry faded. I relaxed once more. Nights grew calm. My faith in recovery grew strong. If fraud stole your funds, move fast. Contact Sylvester Bryant. He treats such cases with skill. Email at [email protected]. Or use WhatsApp at +1 512 577 7957 or +44 7428 662701. Do not delay. Reclaim what is yours.
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13.11.25 20:05
[email protected]
A scam cost me $72,000 in USDT. It shook me up. USDT is a stablecoin linked to the dollar. Its value stays even. I believed I found a safe path to build my wealth. At the start, all seemed fine. My account grew to $120,000 in profits. But when I tried to withdraw, the site locked me out. No way to get in. No money left. Fear took over. I felt stuck and alone. These frauds hit crypto investors often. They lure with fast riches. Then they steal your cash and disappear. Billions vanish each year from such schemes. I looked for aid in every spot. Online boards. Help chats. None helped. Then a buddy offered support. He had dealt with the same issue once. He mentioned Sylvester Bryant. My friend praised his expertise. I contacted him at once. His email is [email protected]. Sylvester Bryant changed everything. He heard my tale with no blame. His crew jumped in quickly. They checked all scam details first. One by one, they followed my lost USDT trail. They used software to track the blockchain. That is the open log of coin transfers. It reveals fund paths. Scammers try to cover their steps. Bryant's team went far. They reached out to related platforms and services. Each day brought progress. No easy ways. They shared updates with me always. Each message and talk stayed open and true. Finally, they got back every dollar. My $52,000 returned whole. The effort needed drive and resolve. Bryant's fairness shone through. He added no secret costs. Only fair pay for the job. My worry faded. I relaxed once more. Nights grew calm. My faith in recovery grew strong. If fraud stole your funds, move fast. Contact Sylvester Bryant. He treats such cases with skill. Email at [email protected]. Or use WhatsApp at +1 512 577 7957 or +44 7428 662701. Do not delay. Reclaim what is yours.
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13.11.25 22:51
ashley11
Recover All Lost Cryptocurrency From Scammers
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13.11.25 22:52
ashley11
Recover All Lost Cryptocurrency From Scammers TREQORA INTEL has exhibited unparalleled strength in the realm of recovery. They stand out as the premier team to collaborate with if you encounter withdrawal difficulties from the platform where you’ve invested. Recently, I engaged with them to recover over a million dollars trapped in an investment platform I’d been involved with for months. I furnished their team with every detail of the investment via Email (SUPPORT @ TREQORA . C O M”), including accounts, names, and wallet addresses to which I sent the funds. This decision proved to be the best I’ve made, especially after realizing I had been sc**med by the company. Initially, I harbored doubts about their services, but I was proven wrong. TREQORA INTEL ensures exemplary service delivery and ensures the perpetrators face justice. They employ advanced techniques to ensure you regain access to your funds. Understandably, many individuals who have fallen victim to investment scams may still harbor trepidation about engaging in online services again due to the trauma of being sc**med. However, I implore you to take action. Seek assistance from TREQORA INTEL today and witness their remarkable capabilities firsthand. Among the myriad of hackers available, TREQORA INTEL stands head and shoulders above the rest. While I may not have sampled all of them, the few I attempted to work with previously were unhelpful and solely focused on depleting the little funds I had left. I am grateful that I resisted their enticements, and despite the time it took me to discover TREQORA INTEL, they ultimately fulfilled my primary objective. I am confident they will execute the task proficiently. Without their intervention, I would have remained despondent and perplexed indefinitely. Don’t make the error of entrusting sc**mers to rectify a sc*m; the consequences are evident. Email:support@treqora. com,WhatsApp: +1 (7 7 3) 9 7 7 - 7 8 7 7 ,Website: Treqora. com. How Can I Recover My Lost Bitcoin From A Romance Scammer-HIRE TREQORA INTEL
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13.11.25 23:36
daisy
i Lost $200,000 to a phishing scam in 2022. Funds went to a mixer service. Davies traced 70% through Ethereum layers. He teamed with an exchange to freeze the rest. i got $140,000 back in six months. Hiring Davies means clear steps. You share details. He checks facts. Then, the hunt begins. Expect ups and downs, but his plan keeps it steady. you can reach out to him by sending an email to anthonydaviestech {@} gmail com
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14.11.25 03:42
harristhomas7376
"In the crypto world, this is great news I want to share. Last year, I fell victim to a scam disguised as a safe investment option. I have invested in crypto trading platforms for about 10yrs thinking I was ensuring myself a retirement income, only to find that all my assets were either frozen, I believed my assets were secure — until I discovered that my BTC funds had been frozen and withdrawals were impossible. It was a devastating moment when I realized I had been scammed, and I thought my Bitcoin was gone forever, Everything changed when a close friend recommended the Capital Crypto Recover Service. Their professionalism, expertise, and dedication enabled me to recover my lost Bitcoin funds back — more than €560.000 DEM to my BTC wallet. What once felt impossible became a reality thanks to their support. If you have lost Bitcoin through scams, hacking, failed withdrawals, or similar challenges, don’t lose hope. I strongly recommend Capital Crypto Recover Service to anyone seeking a reliable and effective solution for recovering any wallet assets. They have a proven track record of successful reputation in recovering lost password assets for their clients and can help you navigate the process of recovering your funds. Don’t let scammers get away with your hard-earned money – contact Email: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Contact: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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14.11.25 03:42
harristhomas7376
"In the crypto world, this is great news I want to share. Last year, I fell victim to a scam disguised as a safe investment option. I have invested in crypto trading platforms for about 10yrs thinking I was ensuring myself a retirement income, only to find that all my assets were either frozen, I believed my assets were secure — until I discovered that my BTC funds had been frozen and withdrawals were impossible. It was a devastating moment when I realized I had been scammed, and I thought my Bitcoin was gone forever, Everything changed when a close friend recommended the Capital Crypto Recover Service. Their professionalism, expertise, and dedication enabled me to recover my lost Bitcoin funds back — more than €560.000 DEM to my BTC wallet. What once felt impossible became a reality thanks to their support. If you have lost Bitcoin through scams, hacking, failed withdrawals, or similar challenges, don’t lose hope. I strongly recommend Capital Crypto Recover Service to anyone seeking a reliable and effective solution for recovering any wallet assets. They have a proven track record of successful reputation in recovering lost password assets for their clients and can help you navigate the process of recovering your funds. Don’t let scammers get away with your hard-earned money – contact Email: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Contact: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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14.11.25 08:38
[email protected]
A scam cost me $72,000 in USDT. It shook me up. USDT is a stablecoin linked to the dollar. Its value stays even. I believed I found a safe path to build my wealth. At the start, all seemed fine. My account grew to $120,000 in profits. But when I tried to withdraw, the site locked me out. No way to get in. No money left. Fear took over. I felt stuck and alone. These frauds hit crypto investors often. They lure with fast riches. Then they steal your cash and disappear. Billions vanish each year from such schemes. I looked for aid in every spot. Online boards. Help chats. None helped. Then a buddy offered support. He had dealt with the same issue once. He mentioned Sylvester Bryant. My friend praised his expertise. I contacted him at once. His email is [email protected]. Sylvester Bryant changed everything. He heard my tale with no blame. His crew jumped in quickly. They checked all scam details first. One by one, they followed my lost USDT trail. They used software to track the blockchain. That is the open log of coin transfers. It reveals fund paths. Scammers try to cover their steps. Bryant's team went far. They reached out to related platforms and services. Each day brought progress. No easy ways. They shared updates with me always. Each message and talk stayed open and true. Finally, they got back every dollar. My $52,000 returned whole. The effort needed drive and resolve. Bryant's fairness shone through. He added no secret costs. Only fair pay for the job. My worry faded. I relaxed once more. Nights grew calm. My faith in recovery grew strong. If fraud stole your funds, move fast. Contact Sylvester Bryant. He treats such cases with skill. Email at [email protected]. Or use WhatsApp at +1 512 577 7957 or +44 7428 662701. Do not delay. Reclaim what is yours.
-
14.11.25 10:39
MATT PHILLIP
I never imagined I’d fall for a crypto romance scam but it happened. Over the course of a few months, I sent nearly $184,000 worth of Bitcoin to someone I genuinely believed I was building a future with. When they disappeared without a trace, I was left heartbroken, humiliated, and financially devastated. For a long time, I didn’t tell anyone. I felt ashamed. But eventually, while searching for answers, I came across a Reddit thread that mentioned Agent Jasmine Lopez a crypto recovery agent. I reached out, not expecting much. To my surprise, she treated me with kindness, not judgment. She used advanced tools like blockchain forensics, IP tracing, and smart contract analysis and with persistence and legal support, she was able to recover nearly 85% of what I lost. I know not everyone gets that kind of outcome, but thanks to [email protected] WhatsApp at +44 736-644-5035, I’ve started to reclaim not just my assets, but my confidence and peace of mind. If you’re going through something similar, you’re not alone and there is hope.
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14.11.25 12:12
daisy
i Lost $200,000 to a phishing scam in 2022. Funds went to a mixer service. Davies traced 70% through Ethereum layers. He teamed with an exchange to freeze the rest. i got $140,000 back in six months. Hiring Davies means clear steps. You share details. He checks facts. Then, the hunt begins. Expect ups and downs, but his plan keeps it steady. you can reach out to him by sending an email to anthonydaviestech {@} gmail com
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14.11.25 15:07
caridad
Perth Family Saved After $400K Crypto Scam Our family in Perth, WA invested through what we thought was a trusted platform but ended up being a fraudulent investment scheme. We lost nearly AUD 420,000 worth of BTC and USDT. Luckily, a friend recommended Bitreclaim.com. Their 24/7 customer support assigned us a smart contract audit specialist who asked for wallet addresses and transaction hashes. With their forensic blockchain trace, they recovered over 5.1 BTC directly into our hardware wallet. For Perth investors: don’t give up hope. Submit a case at Bitreclaim.com immediately. Their professionalism and success rate in Australia is unmatched.
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14.11.25 18:33
justinekelly45
FAST & RELIABLE CRYPTO RECOVERY SERVICES Hire iFORCE HACKER RECOVERY I was one of many victims deceived by fake cryptocurrency investment offers on Telegram. Hoping to build a retirement fund, I invested heavily and ended up losing about $470,000, including borrowed money. Just when I thought recovery was impossible, I found iForce Hacker Recovery. Their team of crypto recovery experts worked tirelessly and helped me recover my assets within 72 hours, even tracing the scammers involved. I’m deeply thankful for their professionalism and highly recommend their services to anyone facing a similar situation. Website: ht tps://iforcehackers. co m WhatsApp: +1 240-803-3706 Email: iforcehk @ consultant. c om
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14.11.25 20:56
juliamarvin
Firstly, the importance of verifying the authenticity of online communications, especially those about financial matters. Secondly, the potential for recovery exists even in cases where it seems hopeless, thanks to innovative services like TechY Force Cyber Retrieval. Lastly, the cryptocurrency community needs to be more aware of these risks and the available solutions to combat them. My experience serves as a warning to others to be cautious of online impersonators and never to underestimate the potential for recovery in the face of theft. It also highlights the critical role that professional retrieval services can play in securing your digital assets. In conclusion, while the cryptocurrency space offers unparalleled opportunities, it also presents unique challenges, and being informed and vigilant is key to navigating this landscape safely. W.h.a.t.s.A.p.p.. +.15.6.1.7.2.6.3.6.9.7. M.a.i.l T.e.c.h.y.f.o.r.c.e.c.y.b.e.r.r.e.t.r.i.e.v.a.l.@.c.o.n.s.u.l.t.a.n.t.c.o.m. T.e.l.e.g.r.a.m +.15.6.1.7.2.6.3.6.9.7
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15.11.25 12:47
MATT PHILLIP
I never imagined I’d fall for a crypto romance scam but it happened. Over the course of a few months, I sent nearly $184,000 worth of Bitcoin to someone I genuinely believed I was building a future with. When they disappeared without a trace, I was left heartbroken, humiliated, and financially devastated. For a long time, I didn’t tell anyone. I felt ashamed. But eventually, while searching for answers, I came across a Reddit thread that mentioned Agent Jasmine Lopez a crypto recovery agent. I reached out, not expecting much. To my surprise, she treated me with kindness, not judgment. She used advanced tools like blockchain forensics, IP tracing, and smart contract analysis and with persistence and legal support, she was able to recover nearly 85% of what I lost. I know not everyone gets that kind of outcome, but thanks to [email protected] WhatsApp at +44 736-644-5035, I’ve started to reclaim not just my assets, but my confidence and peace of mind. If you’re going through something similar, you’re not alone and there is hope.
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15.11.25 14:39
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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15.11.25 14:39
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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15.11.25 15:31
MATT PHILLIP
I never imagined I’d fall for a crypto romance scam but it happened. Over the course of a few months, I sent nearly $184,000 worth of Bitcoin to someone I genuinely believed I was building a future with. When they disappeared without a trace, I was left heartbroken, humiliated, and financially devastated. For a long time, I didn’t tell anyone. I felt ashamed. But eventually, while searching for answers, I came across a Reddit thread that mentioned Agent Jasmine Lopez a crypto recovery agent. I reached out, not expecting much. To my surprise, she treated me with kindness, not judgment. She used advanced tools like blockchain forensics, IP tracing, and smart contract analysis and with persistence and legal support, she was able to recover nearly 85% of what I lost. I know not everyone gets that kind of outcome, but thanks to [email protected] WhatsApp at +44 736-644-5035, I’ve started to reclaim not just my assets, but my confidence and peace of mind. If you’re going through something similar, you’re not alone and there is hope.
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15.11.25 15:52
[email protected]
A scam cost me $72,000 in USDT. It shook me up. USDT is a stablecoin linked to the dollar. Its value stays even. I believed I found a safe path to build my wealth. At the start, all seemed fine. My account grew to $120,000 in profits. But when I tried to withdraw, the site locked me out. No way to get in. No money left. Fear took over. I felt stuck and alone. These frauds hit crypto investors often. They lure with fast riches. Then they steal your cash and disappear. Billions vanish each year from such schemes. I looked for aid in every spot. Online boards. Help chats. None helped. Then a buddy offered support. He had dealt with the same issue once. He mentioned Sylvester Bryant. My friend praised his expertise. I contacted him at once. His email is [email protected]. Sylvester Bryant changed everything. He heard my tale with no blame. His crew jumped in quickly. They checked all scam details first. One by one, they followed my lost USDT trail. They used software to track the blockchain. That is the open log of coin transfers. It reveals fund paths. Scammers try to cover their steps. Bryant's team went far. They reached out to related platforms and services. Each day brought progress. No easy ways. They shared updates with me always. Each message and talk stayed open and true. Finally, they got back every dollar. My $52,000 returned whole. The effort needed drive and resolve. Bryant's fairness shone through. He added no secret costs. Only fair pay for the job. My worry faded. I relaxed once more. Nights grew calm. My faith in recovery grew strong. If fraud stole your funds, move fast. Contact Sylvester Bryant. He treats such cases with skill. Email at [email protected]. Or use WhatsApp at +1 512 577 7957 or +44 7428 662701. Do not delay. Reclaim what is yours.
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16.11.25 14:43
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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16.11.25 14:44
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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16.11.25 20:38
[email protected]
A scam cost me $72,000 in USDT. It shook me up. USDT is a stablecoin linked to the dollar. Its value stays even. I believed I found a safe path to build my wealth. At the start, all seemed fine. My account grew to $120,000 in profits. But when I tried to withdraw, the site locked me out. No way to get in. No money left. Fear took over. I felt stuck and alone. These frauds hit crypto investors often. They lure with fast riches. Then they steal your cash and disappear. Billions vanish each year from such schemes. I looked for aid in every spot. Online boards. Help chats. None helped. Then a buddy offered support. He had dealt with the same issue once. He mentioned Sylvester Bryant. My friend praised his expertise. I contacted him at once. His email is [email protected]. Sylvester Bryant changed everything. He heard my tale with no blame. His crew jumped in quickly. They checked all scam details first. One by one, they followed my lost USDT trail. They used software to track the blockchain. That is the open log of coin transfers. It reveals fund paths. Scammers try to cover their steps. Bryant's team went far. They reached out to related platforms and services. Each day brought progress. No easy ways. They shared updates with me always. Each message and talk stayed open and true. Finally, they got back every dollar. My $52,000 returned whole. The effort needed drive and resolve. Bryant's fairness shone through. He added no secret costs. Only fair pay for the job. My worry faded. I relaxed once more. Nights grew calm. My faith in recovery grew strong. If fraud stole your funds, move fast. Contact Sylvester Bryant. He treats such cases with skill. Email at [email protected]. Or use WhatsApp at +1 512 577 7957 or +44 7428 662701. Do not delay. Reclaim what is yours.
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17.11.25 03:24
johnny231
INFO@THEBARRYCYBERINVESTIGATIONSDOTCOM is one of the best cyber hackers that i have actually met and had an encounter with, i was suspecting my partner was cheating on me for some time now but i was not sure of my assumptions so i had to contact BARRY CYBER INVESTIGATIONS to help me out with my suspicion. During the cause of their investigation they intercepted his text messages, social media(facebook, twittwer, snapchat whatsapp, instagram),also call logs as well as pictures and videos(deleted files also) they found out my spouse was cheating on me for over 3 years and was already even sending nudes out as well as money to anonymous wallets,so i deciced to file for a divorce and then when i did that i came to the understanding that most of the cryptocurrency we had invested in forex by him was already gone. BARRY CYBER INVESTIGATIONS helped me out through out the cause of my divorce with my spouse they also helped me in retrieving some of the cryptocurrency back, as if that was not enough i decided to introduce them to another of my friend who had lost her most of her savings on a bad crytpo investment and as a result of that it affected her credit score, BARRY CYBER INVESTIGATIONS helped her recover some of the funds back and helped her build her credit score, i have never seen anything like this in my life and to top it off they are very professional and they have intergrity to it you can contact them also on their whatsapp +1814-488-3301. for any hacking or pi jobs you can contact them and i assure you nothing but the best out of the job
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17.11.25 11:26
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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17.11.25 11:27
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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19.11.25 01:56
VERONICAFREDDIE809
Earlier this year, I made a mistake that changed everything. I downloaded what I thought was a legitimate trading app I’d found through a Telegram channel. At first, everything looked real until I tried to withdraw. My entire investment vanished into a bot account, and that’s when the truth hit me: I had been scammed. I can’t describe the feeling. It was as if the ground dropped out from under me. I blamed myself. I felt stupid, ashamed, helpless every painful emotion at once. For a while, I couldn’t even talk about it. I thought no one would understand. But then I got connected to the best female expert AGENT Jasmine Lopez,,( [email protected] ) ,She didn’t brush me off or judge me. She took my fear seriously. She followed leads I didn’t even know existed, and identified multiple off-chain indicators and wallet clusters linked to the scammer network, she helped me understand what had truly happened behind the scenes. For the first time since everything fell apart, I felt hope. Hearing that other people students, parents, hardworking people had been targeted the same way made me realize I wasn’t alone. What happened to us wasn’t stupidity. It was a coordinated attack. We were prey in a system built to deceive. And somehow, through all the chaos, Agent Jasmine stepped in and shined a light into the darkest moment of my life. I’m still healing from the experience. It changed me. But it also reminded me that even when you think you’re at the end, sometimes a lifeline appears where you least expect it. Contact her at [email protected] WhatsApp at +44 736-644-5035.
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19.11.25 08:11
JuneWatkins
I’m June Watkins from California. I never thought I’d lose my life savings in Bitcoin. One wrong click, a fake wallet update, and $187,000 vanished in seconds. I cried for days, felt stupid, ashamed, and completely hopeless. But God wouldn’t let me stay silent or defeated. A friend sent me a simple message: “Contact Mbcoin Recovery Group, they specialize in this.” I was skeptical (there are so many scammers), but something in my spirit said “try.” I reached out to Mbcoin Recovery Group through their official site and within minutes their team responded with kindness and clarity. They walked with me step by step, and stayed in constant contact. Three days later, I watched in tears as every single Bitcoin returned to my wallet, 100% recovered. God turned my mess into a message and my shame into a testimony! If you’ve lost crypto and feel it’s gone forever, don’t give up. I’m living proof that recovery is possible. Thank you, Mbcoin Recovery Group, and thank You, Jesus, for never leaving me stranded. contact: (https://mbcoinrecoverygrou.wixsite.com/mb-coin-recovery) (Email: [email protected]) (Call Number: +1 346 954-1564)
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19.11.25 08:26
elizabethmadison
My name is Elizabeth Madison currently living in New York. There was a time I felt completely broken. I had trusted a fraudulent bitcoin investment organization, who turned out to be a fraudster. I sent money, believing their sweet words and promises on the interest rate I will get back in return, only to realize later that I’ve been scammed. On the day of withdrawal there was no money in my account. The pain hit deep. I couldn’t sleep, I kept asking myself how I could have been so careless, meanwhile my mom was battling with a stroke and the expenses were too much. For days, I cried and blamed myself. The betrayal, the disappointment and my mom's health issues all of this stress made me want to give up on life. But one day, I decided that sitting in pain wouldn’t solve anything. I picked myself up and chose to fight for what I lost then I came across GREAT WHIP RECOVERY CYBER SERVICES and saw how he helped people recover their funds from online fraud. I emailed all the transactions and paperwork I had with the fraudulent organization and they helped me recover all my lost money in just five days. If you have ever fallen victim to scammers, contact GREAT WHIP RECOVERY CYBER SERVICES to help you recover every penny you have lost. (Text +1(406)2729101) (Email [email protected])
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19.11.25 08:27
elizabethmadison
My name is Elizabeth Madison currently living in New York. There was a time I felt completely broken. I had trusted a fraudulent bitcoin investment organization, who turned out to be a fraudster. I sent money, believing their sweet words and promises on the interest rate I will get back in return, only to realize later that I’ve been scammed. On the day of withdrawal there was no money in my account. The pain hit deep. I couldn’t sleep, I kept asking myself how I could have been so careless, meanwhile my mom was battling with a stroke and the expenses were too much. For days, I cried and blamed myself. The betrayal, the disappointment and my mom's health issues all of this stress made me want to give up on life. But one day, I decided that sitting in pain wouldn’t solve anything. I picked myself up and chose to fight for what I lost then I came across GREAT WHIP RECOVERY CYBER SERVICES and saw how he helped people recover their funds from online fraud. I emailed all the transactions and paperwork I had with the fraudulent organization and they helped me recover all my lost money in just five days. If you have ever fallen victim to scammers, contact GREAT WHIP RECOVERY CYBER SERVICES to help you recover every penny you have lost. (Text +1(406)2729101) Website https://greatwhiprecoveryc.wixsite.com/greatwhip-site (Email [email protected])
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19.11.25 16:30
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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19.11.25 16:30
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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20.11.25 15:55
mariotuttle94
HIRE THE BEST HACKER ONLINE FOR CRYPTO BITCOIN SCAM RECOVERY / iFORCE HACKER RECOVERY After a security breach, my husband lost $133,000 in Bitcoin. We sought help from a professional cybersecurity team iForce Hacker Recovery they guided us through each step of the recovery process. Their expertise allowed them to trace the compromised funds and help us understand how the breach occurred. The experience brought us clarity, restored a sense of stability, and reminded us of the importance of strong digital asset and security practices. Website: ht tps:/ /iforcehackers. c om WhatsApp: +1 240-803-3706 Email: iforcehk @ consultant. c om
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21.11.25 10:56
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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21.11.25 10:56
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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22.11.25 04:41
VERONICAFREDDIE809
Earlier this year, I made a mistake that changed everything. I downloaded what I thought was a legitimate trading app I’d found through a Telegram channel. At first, everything looked real until I tried to withdraw. My entire investment vanished into a bot account, and that’s when the truth hit me: I had been scammed. I can’t describe the feeling. It was as if the ground dropped out from under me. I blamed myself. I felt stupid, ashamed, helpless every painful emotion at once. For a while, I couldn’t even talk about it. I thought no one would understand. But then I got connected to the best female expert AGENT Jasmine Lopez,,( [email protected] ) ,She didn’t brush me off or judge me. She took my fear seriously. She followed leads I didn’t even know existed, and identified multiple off-chain indicators and wallet clusters linked to the scammer network, she helped me understand what had truly happened behind the scenes. For the first time since everything fell apart, I felt hope. Hearing that other people students, parents, hardworking people had been targeted the same way made me realize I wasn’t alone. What happened to us wasn’t stupidity. It was a coordinated attack. We were prey in a system built to deceive. And somehow, through all the chaos, Agent Jasmine stepped in and shined a light into the darkest moment of my life. I’m still healing from the experience. It changed me. But it also reminded me that even when you think you’re at the end, sometimes a lifeline appears where you least expect it. Contact her at [email protected] WhatsApp at +44 736-644-5035.
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22.11.25 22:04
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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22.11.25 22:04
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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22.11.25 22:05
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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23.11.25 03:34
Matt Kegan
SolidBlock Forensics are absolutely the best Crypto forensics team, they're swift to action and accurate
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23.11.25 09:54
elizabethrush89
God bless Capital Crypto Recover Services for the marvelous work you did in my life, I have learned the hard way that even the most sensible investors can fall victim to scams. When my USD was stolen, for anyone who has fallen victim to one of the bitcoin binary investment scams that are currently ongoing, I felt betrayal and upset. But then I was reading a post on site when I saw a testimony of Wendy Taylor online who recommended that Capital Crypto Recovery has helped her recover scammed funds within 24 hours. after reaching out to this cyber security firm that was able to help me recover my stolen digital assets and bitcoin. I’m genuinely blown away by their amazing service and professionalism. I never imagined I’d be able to get my money back until I complained to Capital Crypto Recovery Services about my difficulties and gave all of the necessary paperwork. I was astounded that it took them 12 hours to reclaim my stolen money back. Without a doubt, my USDT assets were successfully recovered from the scam platform, Thank you so much Sir, I strongly recommend Capital Crypto Recover for any of your bitcoin recovery, digital funds recovery, hacking, and cybersecurity concerns. You reach them Call/Text Number +1 (336)390-6684 His Email: [email protected] Contact Telegram: @Capitalcryptorecover Via Contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1
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23.11.25 18:01
mosbygerry
I recently had the opportunity to work with a skilled programmer who specialized in recovering crypto assets, and the results were nothing short of impressive. The experience not only helped me regain control of my investments but also provided valuable insight into the intricacies of cryptocurrency technology and cybersecurity. The journey began when I attempted to withdraw $183,000 from an investment firm, only to encounter a series of challenges that made it impossible for me to access my funds. Despite seeking assistance from individuals claiming to be Bitcoin miners, I was unable to recover my investments. The situation was further complicated by the fact that all my deposits were made using various cryptocurrencies that are difficult to trace. However, I persisted in my pursuit of recovery, driven by the determination to reclaim my losses. It was during this time that I discovered TechY Force Cyber Retrieval, a team of experts with a proven track record of successfully recovering crypto assets. With their assistance, I was finally able to recover my investments, and in doing so, gained a deeper understanding of the complex mechanisms that underpin cryptocurrency transactions. The experience taught me that with the right expertise and guidance, even the most seemingly insurmountable challenges can be overcome. I feel a sense of obligation to share my positive experience with others who may have fallen victim to cryptocurrency scams or are struggling to recover their investments. If you find yourself in a similar situation, I highly recommend seeking the assistance of a trustworthy and skilled programmer, such as those at TechY Force Cyber Retrieval. WhatsApp (+1561726 3697) or (+1561726 3697). Their expertise and dedication to helping individuals recover their crypto assets are truly commendable, and I have no hesitation in endorsing their services to anyone in need. By sharing my story, I hope to provide a beacon of hope for those who may have lost faith in their ability to recover their investments and to emphasize the importance of seeking professional help when navigating the complex world of cryptocurrency.
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24.11.25 11:43
michaeldavenport238
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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24.11.25 11:43
michaeldavenport238
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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24.11.25 16:34
Mundo
I wired 120k in crypto to the wrong wallet. One dumb slip-up, and poof gone. That hit me hard. Lost everything I had built up. Crypto moves on the blockchain. It's like a public record book. Once you send, that's it. No take-backs. Banks can fix wire mistakes. Not here. Transfers stick forever. a buddy tipped me off right away. Meet Sylvester Bryant. Guy's a pro at pulling back lost crypto. Handles cases others can't touch, he spots scammer moves cold. Follows money down secret paths. Mixers. Fake trades. Hidden swaps. You name it, he tracks it. this happens to tons of folks. Fat-finger a key. Miss one digit in the address. Boom. Billions vanish like that each year. I panicked. Figured my stash was toast for good. Bryant flipped the script. He jumps on hard jobs quick. Digs deep. Cracks the trail. Got my funds back safe. You're in the same boat? Don't sit there. Hit him up today. Email [email protected]. WhatsApp +1 512 577 7957. Or +44 7428 662701. Time's your enemy here. Scammers spend fast. Chains churn non-stop. Move now. Grab your cash back home.
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25.11.25 05:15
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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25.11.25 13:31
mickaelroques52
CRYPTO TRACING AND INVESTIGATION EXPERT: HOW TO RECOVER STOLEN CRYPTO_HIRE RAPID DIGITAL RECOVERY
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25.11.25 13:31
mickaelroques52
I’ve always considered myself a careful person when it comes to money, but even the most cautious people can be fooled. A few months ago, I invested some of my Bitcoin into what I believed was a legitimate platform. Everything seemed right, professional website, live chat support and even convincing testimonials. I thought I had done my homework. But when I tried to withdraw my funds, everything fell apart. My account was blocked, the so-called support team disappeared and I realized I had been scammed. The shock was overwhelming. I couldn’t believe I had fallen for it. That Bitcoin represented years of savings and sacrifices and it felt like everything had been stolen from me in seconds. I didn’t sleep for days and I was angry at myself for trusting the wrong people. In my desperation, I started searching for solutions and came across Rapid Digital Recovery. At first, I thought it was just another promise that would lead nowhere. But after speaking with them, I realized this was different. They were professional, clear and understanding. They explained exactly how they track stolen funds through blockchain forensics and what steps would be taken in my case. I gave them all the transaction details and they immediately got to work. What impressed me most was their transparency, they gave me updates regularly and kept me involved in the process. After weeks of investigation, they achieved what I thought was impossible: they recovered my stolen Bitcoin and safely returned it to my wallet. The relief I felt that day is indescribable. I went from feeling hopeless and broken to feeling like I had been given a second chance. I am forever grateful to Rapid Digital Recovery. They didn’t just recover my money, they restored my peace of mind. If you’re reading this because you’ve been scammed, please know you’re not alone and that recovery is possible. I’m living proof that with the right help, you can get your funds back... Contact Info Below WhatSapp: + 1 414 807 1485 Email: rapiddigitalrecovery (@) execs. com Telegram: + 1 680 5881 631
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