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Трансформером по A*, или как уменьшить число итераций самого известного алгоритма поиска пути

Привет! Меня зовут Константин Яковлев, я научный работник и вот уже более 15 лет я занимаюсь методами планирования траектории. Часто эта задача сводится к поиску пути на графе, для чего обычно используется алгоритм эвристического поиска A*. Этот алгоритм был предложен в 60-х годах XX века и с тех пор используется повсеместно. Скорее всего, юнит вашей любимой RTS бежит по карте с помощью той или иной вариации A*. Точно так же, под капотом беспилотного авто вы, наверняка, найдёте A*, хотя там, конечно, не только он.

A* — это хороший алгоритм, но его вычислительная эффективность сильно зависит от эвристической функции, которую должен задать разработчик. Основная проблема стандартных эвристик заключается в том, что они не учитывают расположение препятствий на карте и ведут поиск буквально напролом, тратя на это ресурсы (итерации поиска). Почему бы нам не воспользоваться современными нейросетями для решения этой проблемы, а именно попросить нейросеть посмотреть на карту и подсказать поиску как лучше обходить препятствия, чтобы быстрее (за меньшее число итераций) найти нужный путь?

Этот текст посвящен как самому алгоритму A*, так и попыткам повысить его эффективность с помощью методов искусственного интеллекта. Заодно я расскажу о том, какие новшества в этом направлении придумали мы с коллегами: научная статья на эту тему опубликована в сборнике конференции AAAI 2023.

c88d874f9d515624d731fcabca1de8e2.png

Disclaimer. Поскольку это полноценный и самодостаточный обзор, он начинается с наглядного объяснения основ поисковых алгоритмов (по крайней мере тех идей, что важны для данного поста) и изложения некоторых интересных, но не имеющих отношение к делу фактов (из серии «как так получилось, что A* это же просто модифицированный Дейкстра, а авторы A* в своей статье на Дейкстру не сослались»). Знатоки A* могут смело эту часть пролистывать, если есть такое желание.

Итак, поехали!

Гриды, Дейкстра и A*

Гриды (англ. grid) или же, по‑научному, графы регулярной декомпозиции — это самые распространенные графовые модели для представления среды мобильного агента, когда речь заходит о планировании траектории. Идея состоит в том, что мы разбиваем мир, в котором живет и перемещается агент, на клетки двух типов: проходимые и заблокированные, и разрешаем агенту прыгать по горизонтали, вертикали и диагонали от одной проходимой клетки к другой. Стоимость каждого перехода в стандартном случае считается как 1 для ортогонального (т. е. горизонтального или вертикального) перехода и √2 для диагонального. Иногда при реализации используют 10 и 14, чтобы не возиться с float'ами. В некоторых постановках при расчете стоимости учитывают также дополнительные характеристики клеток, например, как близко они расположены к препятствиям, какой тип подстилающей поверхности имеет та или иная клетка и т. д. Но здесь и далее мы будем рассматривать простой бинарный грид с переходами, весящими 1 и √2.

Граф регулярной декомпозиции, он же грид (grid), и путь на нём. Источник: growingwiththeweb.com.
Граф регулярной декомпозиции, он же грид (grid), и путь на нём. Источник: growingwiththeweb.com.

Для поиска на таком клетчатом графе, естественно, можно применять стандартные алгоритмы неинформированного поиска (т. е. такие алгоритмы, которые не требуют никакой доп. информации, кроме самого графа), среди которых самым популярным является алгоритм Дейкстры. Этот алгоритм был предложен Эдгаром Дейкстрой в 1959 году. Вы можете ознакомиться с оригинальной научной статьей, вернее — заметкой, по этому алгоритму — она есть в Интернете — и обратить внимание на то, что это прямо очень компактный текст на 3 странички, содержащий всего 4 ссылки на другие работы, и не содержащий ни одной картинки и псевдокода. Сейчас, конечно, статьи (даже короткие) по computer science пишут совсем по‑другому.

Алгоритм A* можно считать эвристической модификацией алгоритма Дейкстры, которая помимо самого графа использует дополнительную информацию для поиска решения. Эта информация задается в виде функции, которая как-то оценивает длину пути от произвольной вершины графа до целевой. Эта функция называется эвристической, или короче — эвристикой.

Представьте, что вас спрашивают, как долго вы будете добираться до Владивостока, например, из Калининграда. Понятное дело, что точно вы сказать не можете, но, опираясь на здравый смысл, можете дать примерную оценку из серии «прямых рейсов нет, надо сначала долететь до Москвы, это 4 часа, потом пересадка, минимум 1 час, потом ещё 9 часов полета, т. е. примерно 14 часов». Вот эти самые 14 часов — это и есть эвристика.

В остальном алгоритм A* пугающе похож на Дейкстру. Вот, например, так часто представляют псевдокод A* люди, которые занимаются им профессионально (рисунок взят из статьи Максима Лихачева, профессора Carnegie Melon University и автора одной из наиболее распространенных в робототехнике модификации A* — D*Lite):

Фрагмент из статьи «Anytime search in dynamic graphs» (опубликованной в Artificial Intelligence Journal в 2008 году). Если в последней строке псевдокода (строка 7) убрать h(s'), чтобы было f(s') = g(s'), то алгоритм A* элегантно превратится в Дейкстру.
Фрагмент из статьи «Anytime search in dynamic graphs» (опубликованной в Artificial Intelligence Journal в 2008 году). Если в последней строке псевдокода (строка 7) убрать h(s'), чтобы было f(s') = g(s'), то алгоритм A* элегантно превратится в Дейкстру.

Не столь важно, что именно здесь обозначают имена переменных и функций, важно другое. Если вы хотите из этого псевдокода A* получить псевдокод Дейкстры, то вам достаточно лишь чуть‑чуть модифицировать строку 7, а именно убрать (т. е. буквально просто стереть) h(s'). т. е. выкинуть из расчета эвристику. И всё.

Кажется логичным, что при таком раскладе авторы A*, которые предложили свой алгоритм в 1968 году (вот эта статья), должны бы были сослаться на статью Дейкстры (которая была, напомню, опубликована на 9 лет раньше). Но это не так! Ссылки на Дейкстру в статье по A* нет.

aca3095c48384404cdd2e5b2dd1681e5.png

В 2018 году я был на Symposium on Combinatorial Search, профильном научном симпозиуме по поисковым алгоритмам, на котором отмечали 50-летие A*, и этот вопрос был озвучен. «Дедушки» поиска (см. фото), т. е. те люди, которые были близки к авторам A* и знали ситуацию изнутри, ответили на это примерно следующее: «Авторы A*, когда делали свой алгоритм, не мыслили категориями графов, а скорее решали обобщенную задачу планирования как построения и поиска по дереву решений. И они были сосредоточены на том, как отсекать ветви этого дерева с помощью эвристики.».

Как говорится — за что купил, за то и продаю. Тем не менее, overall, близкое сходство Дейкстры и A*, когда речь идет о поиске пути на сетчатом графе (т. е. наш случай) отрицать сложно.

Коллаж фотографий с 11 симпозиума по комбинаторному поиску (11th Annual Symposium on Combinatorial Search (SoCS 2018)), на котором научные сотрудника 50-летие алгоритма A* отмечали. Слева — Свен Кёниг из Университета Южной Калифорнии говорит вступительное слово. Справа — Роберт Холте, Ричард Корф и Ира Пол (в данном случае Ира, Ira, это мужское имя) — уважаемые «Деды A*», внесшие значительный вклад в развитие теории и практики эвристического поиска. Ира был знаком с авторами A* и именно он отвечал на вопрос «как так получилось, что A* не ссылается на Дейкстру».
Коллаж фотографий с 11 симпозиума по комбинаторному поиску (11th Annual Symposium on Combinatorial Search (SoCS 2018)), на котором научные сотрудника 50-летие алгоритма A* отмечали. Слева — Свен Кёниг из Университета Южной Калифорнии говорит вступительное слово. Справа — Роберт Холте, Ричард Корф и Ира Пол (в данном случае Ира, Ira, это мужское имя) — уважаемые «Деды A*», внесшие значительный вклад в развитие теории и практики эвристического поиска. Ира был знаком с авторами A* и именно он отвечал на вопрос «как так получилось, что A* не ссылается на Дейкстру».

Принцип работы

Итак, по какому‑же принципу работает поиск пути с помощью Дейкстры/A*? Это итерационный алгоритм, на каждом шаге мы выбираем вершину‑кандидат и смотрим, до каких вершин‑соседей из неё можно дойти, считаем веса путей до них и добавляем эти вершины в список вершин‑кандидатов на дальнейшее рассмотрение (а текущую вершину вычеркиваем). И так продолжаем до тех пор пока не выберем для рассмотрения целевую вершину.

Ключевой момент — как мы выбираем вершину‑кандидат на каждой итерации. Дейкстра выбирает вершину, вес пути до которой минимален (среди других вершин кандидатов). Для обозначения этого веса используется обозначение g(n), т. е. g(n) — это вес пути от старта до n, который мы знаем к текущей итерации алгоритма. A* выбирает вершину c минимальным f‑значением, которое рассчитывается по формуле f(n) = g(n) + h(n). Первое слагаемое — то же, что и в Дейкстре, вес пути от старта до n. Второе слагаемое — эвристическая оценка веса пути (просто число) от n до финиша. т. е. в отличие от Дейкстры, который «идёт во все стороны» (т.к. при поиске ему вообще всё равно на то, где финиш), A* «сфокусирован на цели» (с помощью эвристики). Можно на это смотреть и так: Дейкстра выбирает ту (не рассмотренную) вершину, до которой ближе всего идти от старта, а A* выбирает ту вершину, которая «обещает» с помощью эвристики самый короткий путь (через неё) до финиша. Очень часто эту концептуальную разницу между двумя алгоритмами иллюстрируют картинкой примерно следующего содержания:

Так иногда показывают разницу между неинформированным поиском (алгоритм Дейкстры относится к этому классу) и эвристическим. Первый «идёт во все стороны», а второй «более направлен в сторону цели». Рисунок взят из статьи «MM: A bidirectional search algorithm that is guaranteed to meet in the middle».
Так иногда показывают разницу между неинформированным поиском (алгоритм Дейкстры относится к этому классу) и эвристическим. Первый «идёт во все стороны», а второй «более направлен в сторону цели». Рисунок взят из статьи «MM: A bidirectional search algorithm that is guaranteed to meet in the middle».

Давайте теперь поговорим про то, с помощью чего A* фокусирует поиск и стремится сократить число итераций алгоритма — про эвристику. Напомним, что эвристическая функция h(n) — это некоторая оценка веса (длины) пути от n до финиша goal. Как же нам оценивать эту длину на гриде? Очень просто. Представим, что между n и финишем нет никаких препятствий. Тогда, агенту нужно сделать min(dx, dy) шагов по диагонали, где dx, dy — это модуль разницы по OX, OY, и затем max(dx, dy) − min(dx,dy) шагов по горизонтали/вертикали. Соответственно, в виде общей формулы мы это можем записать как:

dx = |n.x - goal.x| \\ dy = |n.y - goal.y| \\ h(n) = \sqrt{2} \cdot min(dx, dy) + 1 \cdot (max(dx, dy) - min(dx,dy))

Эта эвристика по‑русски обычно именуется диагональной. Есть и другие, но для 8-связного грида обычно используют именно диагональную эвристику, т.к. у неё есть пара важных свойств. Во‑первых, она является допустимой, т. е. не переоценивает вес пути до финиша от любой клетки грида (неважно какие на нём препятствия, и есть ли они). Это позволяет A* гарантировать нахождение оптимального решения. Во‑вторых, если бы на графе не было заблокированных клеток (т. е. препятствий), то эта функция всегда бы давала точный ответ. Другими словами, значение эвристической функцией для любой вершины n всегда бы совпадало с весом кратчайшего пути от n до финиша. И это хорошо, поскольку в этом случае поиск бы рассматривал только вершины, лежащие вдоль одного из кратчайших путей, и, как иногда говорят в научной среде, работал «за линию от глубины решения».

На практике, конечно же, между стартом и финишем случаются препятствия. В этом случае диагональная эвристика фокусирует поиск уже не так хорошо — см. картинку.

Слева — Дейкстра, справа А*. Серым (и зеленым) показаны рассмотренные области (вершины графа). Видно, что A*, конечно, лучше Дейкстры, но всё равно есть ощущение, что какие-то области “рассмотрены зря” (зачем нам, например, идти влево от старта, когда явно видно, что финиш справа).
Слева — Дейкстра, справа А*. Серым (и зеленым) показаны рассмотренные области (вершины графа). Видно, что A*, конечно, лучше Дейкстры, но всё равно есть ощущение, что какие‑то области «рассмотрены зря» (зачем нам, например, идти влево от старта, когда явно видно, что финиш справа).

Да, мы видим, что A* все ещё заметно лучше, чем Дейкстра, но при этом нас не оставляет чувство, что очень много промежуточных вершин рассмотрено зря. Мы тратим итерации алгоритма (а это время работы, а также память для хранения промежуточных вычислений) на рассмотрение каких‑то вершин, которые вообще не имеют никакого отношения к результирующему пути! Проблема в том, что эвристика ничего не знает про препятствия (и никак не учитывает их по своей природе — см. формулу выше) и буквально ведет поиск напролом, а не в обход препятствий.

Стандартный способ улучшить ситуацию — это домножать эвристику на некоторый коэффициент w > 1. Такой подход называется взвешиванием эвристики, а алгоритм — взвешенным A* (Weighted A*) или, короче, WA*. Концептуально на взвешивание в контексте нашей задачи можно смотреть следующим образом. Мы понимаем, что на карте у нас скорее всего есть препятствия и поэтому наивно считать, что от вершины n до финиша мы можем пройти по прямой. Скорее всего нам нужно будет делать какой‑то обход, и вот на этот обход мы и закладываем дополнительный коэффициент (вес эвристики). Это помогает (см. картинку), но до определенного предела.

Иллюстрация работы взвешенного A* (WA*) с различным весом эвристики. Слева направо: A* (w = 1.0), WA* (w = 1.5), WA* (w = 2.0), WA* (w = 10.0). Как видно, увеличение веса до 2 дает позитивный эффект (число рассмотренных вершин сокращается по сравнению со стандартным A*), но дальнейшее увеличение веса эвристики ни к чему особенному не приводит.
Иллюстрация работы взвешенного A* (WA*) с различным весом эвристики. Слева направо: A* (w = 1.0), WA* (w = 1.5), WA* (w = 2.0), WA* (w = 10.0). Как видно, увеличение веса до 2 дает позитивный эффект (число рассмотренных вершин сокращается по сравнению со стандартным A*), но дальнейшее увеличение веса эвристики ни к чему особенному не приводит.

Что же ещё мы можем сделать? Конечно, мы можем как‑то изменить сам принцип поиска, например добавив иерархичности и рандомизированности как в алгоритме R*, или же заняться онлайн‑отсечением симметрий на гриде как в Jump Point Search. Про последний алгоритм хочется сказать отдельно. Он был опубликован в 2011 году, и улучшал показатели стандартного A* при поиске на гриде на порядок (т. е. в >=10 раз), при этом сохраняя все теоретические гарантии. На мой взгляд, это хорошее подтверждение того, что на самом деле потенциал A* ещё не раскрыт до конца и место для (существенных) улучшений есть даже тогда, когда кажется, что алгоритм уже изучен вдоль и поперёк. Тем не менее, эти и многие другие модификации A* всё равно зависят от эвристики, которая, как мы видели выше «ведёт нас куда‑то не туда». Поэтому возникает естественное для исследователя желание, что‑то сделать с самой эвристикой.

И здесь мы переходим к основной идее нашей (и не только) работы.

Добавляем нейросеть

Итак, основная проблема стандартной (например, диагональной) эвристики при поиске пути на 8-связном гриде состоит в том, что она никак не учитывает препятствия. Как же нам добиться от эвристической функции более адекватного восприятия карты? Ответ в наше время напрашивается сам собой — давайте добавим магии в виде нейросетевого дип ленинга, а именно попросим нейросеть «посмотреть» на карту и сказать, где какое значение эвристики должно быть с учетом всех особенностей карты.

Действительно, грид совершенно естественно представляется бинарной картинкой: 0 — свободно, 1 — препятствие. Значит есть все основания думать, что какая‑нибудь сверточная нейросеть хорошо уловит особенности этой картинки и свяжет их со значением эвристической функции. т. е. на вход сети будет давать картинку‑задание (тензор 2 x m x n, где m, n — размерности карты, в первом канале сама картинка, во втором one‑shot представление целевой точки), а на выходе у нас будет тензор 1 x m х n, где каждый элемент — это значение правильной эвристики (учитывающей препятствия) с точки зрения нейросети. Обучать такую нейросеть логично в режиме обучения с учителем. В качестве обучающих примеров нам нужны картики 1 x m х n со значениями идеальной эвристики. Получить их можно, запустив для каждого входного примера поиск в ширину из целевой точки с критерием остановки — пока не обойдем весь граф. В качестве функции потерь можно взять простой MSE, т. е. рассчитать среднеквадратичную ошибку между тем, что нам предсказала сеть и тем, что должно быть на самом деле.

Мы только что повторили ход мысли авторов статьи Learning Heuristic Functions for Mobile Robot Path Planning Using Deep Neural Networks, опубликованной на ICAPS 2019, ведущей мировой конференции по вопросам планирования. В ней авторы ещё экспериментируют дополнительно с различными функциями потерь и режимами обучения (вплоть до GAN'ов) и с более сложными постановками самой задачи планирования (планирование с учетом пространственной ориентации агента и отдельными действиями‑поворотами). Но в целом основная мысль именно такая, как мы описали выше — давайте научим сверточную нейросеть хорошо предсказывать идеальную эвристику.

Схема решения, предложенного в статье "Learning Heuristic Functions for Mobile Robot Path Planning Using Deep Neural Networks" (картинка оттуда же). Всё просто и понятно: на этапе обучения учимся “повторят” идеальную эвристику, на этапе обучения пользуемся тем, что выучили.
Схема решения, предложенного в статье «Learning Heuristic Functions for Mobile Robot Path Planning Using Deep Neural Networks» (картинка оттуда же). Всё просто и понятно: на этапе обучения учимся «повторят» идеальную эвристику, на этапе обучения пользуемся тем, что выучили.

К существенным минусам этой статьи можно отнести довольно невнятное описание экспериментов и их результатов в тексте и, главное, отсутствие опубликованного кода и датасета. По сути воспроизвести результаты авторов не получится. И это, конечно, плохо.

Гораздо более интересная, приятная для чтения и свежая работа по использованию нейросетей в связке с A* была представлена на ICML 2021 и называется она Path Planning using Neural A* Search, или просто — NeuralA*. В ней авторы предложили учить не эвристику, а так называемую дополнительную стоимость.

Интуиция здесь следующая. Сеть смотрит на карту, старт, финиш и говорит какие области на карте должны стоить больше (т. е. без особой нужды лезть туда поиску не нужно). Сама эвристика при этом остается неизменной. Этот подход хорош тем, что он может работать не только (и не столько) на бинарных гридах, но и на картинках, где стоимость переходов неизвестна. Представьте себе, что вы смотрите на некоторый спутниковый снимок местности, или же вы запустили коптер и он вам сфотографировал подстилающую поверхность, и теперь у вас есть картинка. Вот прямо по этому снимку и можно искать траекторию с помощью NeuralA*.

NeuralA* ещё интересен тем, что он обучается end‑to‑end. То есть коллеги, во‑первых, представили алгоритм A* как последовательность сверточных операций (перемножение матриц), а во‑вторых, при обучении прогоняли градиент функции потерь через эти операции. Получается, что поисковые операции учитывались при обучении. Схематично это выглядит так:

Принципиальная схема работы NeuralA* (иллюстрация взята из оригинальной статьи). На входе картинка (карта + старт‑финиш), основная нейросеть предсказывает карту доп.стоимостей (показана бело‑зеленым цветом), затем матричный, дифференцируемый A* использует эту карту для поиска (со стандартной эвристикой), функция потерь считается как разница между идеальным путем и тем, что при поиске рассмотрел NeuralA* (мы стремимся сделать так, что Neural A* при поиске шёл только вдоль требуемого пути). Градиент функции потерь прогоняется при обучении через все блоки, т. е. как через поисковые блоки, так и через блоки основной нейросети (той которая предсказывает доп.стоимости).
Принципиальная схема работы NeuralA* (иллюстрация взята из оригинальной статьи). На входе картинка (карта + старт‑финиш), основная нейросеть предсказывает карту доп.стоимостей (показана бело‑зеленым цветом), затем матричный, дифференцируемый A* использует эту карту для поиска (со стандартной эвристикой), функция потерь считается как разница между идеальным путем и тем, что при поиске рассмотрел NeuralA* (мы стремимся сделать так, что Neural A* при поиске шёл только вдоль требуемого пути). Градиент функции потерь прогоняется при обучении через все блоки, т. е. как через поисковые блоки, так и через блоки основной нейросети (той которая предсказывает доп.стоимости).

Здесь в начале идет стандартная сверточная часть (назовем её бэкбоном), которая предсказывает карту дополнительных стоимостей, затем идут «поисковые свертки», которые на основе предсказанной карты осуществляет поиск. Само обучение идет в режиме «с учителем». В качестве эталонных примеров выступают гриды/картинки с отмеченным путём. Функция потерь устроена таким образом, что смотрит разницу между тем, какие клетки/пиксели перебирал NeuralA* при поиске пути и собственно путем. То есть мы стремимся научить бэкбон правильно предсказывать доп.стоимости (так, чтобы при поиске именно с этими доп.стоимостями поиск шел куда надо и не исследовал лишние части карты).

В NeuralA* очень хорошая экспериментальная часть. Открытый код и датасет. Авторы показывают, что обходят всех конкурентов, которые включают в себя в том числе и другие вариации обучаемого A* (которые здесь мы уже не сможем рассмотреть, т.к. иначе текст совсем перестанет помещаться в разумные рамки).

К основным минусам же NeuralA* можно отнести следующее. Во‑первых, в режиме планирования по бинарному гриде авторы используют 8-связную модель движения, но при этом перемещение по диагонали весит столько же, сколько и по горизонтали‑вертикали. Из‑за этого даже оптимальные (в такой модели стоимости) пути могут странно «вилять зигзагами» (посмотрите, например, на картинку выше, и обратите внимание на странный ground truth путь). Мелочь, а неприятно. Во‑вторых, для планирования на бинарном гриде вся эта история с прогоном градиентов через слои матричного A* кажется излишней и только замедляющей обучение. В‑третьих, сама идея предсказания доп.стоимости кажется хорошей для планирования по картинкам, когда мы не знаем стоимости перехода вообще, но не для грида, где стоимость фиксирована и логично всё‑таки предсказывать что‑то другое.

И тут мы переходим (наконец‑то), собственно, к нашей работе.

Наша работа

В своей работе мы решили сфокусироваться на планировании на 8-связном бинарном гриде и стремились избавиться от недостатков работ‑конкурентов, которые мы описали выше. Во‑первых, мы хотели работать с нормальной моделью стоимостей переходов, когда переход по диагонали весит в √2 раз больше, чем переход по горизонтали/вертикали. Во‑вторых, мы хотели добиться ещё большей эффективности в плане снижения числа итераций работы A* с нашими предсказаниями. В‑третьих, мы хотели предсказывать именно эвристику, а не доп.стоимость, как в Neural A*. В‑четвертых, мы хотели иметь простой, понятный пайплайн обучения, открытый код и датасет. В пятых, мы хотели использовать более современную архитектуру нейросетевой модели (не просто свертки, но и блоки внимания). В целом, у нас всё получилось, и давайте поговорим про это поподробней.

Мы решили учить две эвристики. Первая, это так называемый фактор или коэффициент коррекции (correction factor, cf). Он численно равен отношению между диагональной эвристикой и идеальной эвристикой:

cf(s) = h(s)/ h^*(s)

В целом это тоже самое, что пытаться учить идеальную эвристику, но есть нюансы. Во-первых, cf по определению зажат между нулем и единицей, поскольку значение заданной эвристики всегда будет меньше либо равно значению идеальной, а это значит не нужно каких-то дополнительных нормировок при обучении. Во-вторых, коэффициент коррекции содержит в себе бо́льшее количество информации, чем в случае с обучением одной лишь функции h(s): на него влияет как заданная, так и идеальная эвристика.

Пример работы алгоритма поиска с предсказанным коэффициентом коррекции показан на следующем рисунке.

Слева результат работы стандартного A* на достаточно непростой карте с многими узкими проходами. По центру — результат работы нейросети, которая предсказывает коэффициент коррекции. Справа — результат поиска при использовании этих коэффициентов. Как мы видим, поисковый алгоритм гораздо меньше “отвлекается” на ненужные нам области и находит путь за меньшее число итераций.
Слева результат работы стандартного A* на достаточно непростой карте с многими узкими проходами. По центру — результат работы нейросети, которая предсказывает коэффициент коррекции. Справа — результат поиска при использовании этих коэффициентов. Как мы видим, поисковый алгоритм гораздо меньше «отвлекается» на ненужные нам области и находит путь за меньшее число итераций.

Другая эвристика, которую мы предсказывали, — это карта вероятности пути (path probability map, PPM). Концептуальная идея этой эвристики состоит в том, что нейросеть смотрит на карту (и старт‑финиш) и для каждой клетки предсказывает, какова вероятность её вхождения в итоговый путь. При непосредственно поиске эта эвристика может использоваться двумя способами. Первый — мы жадно перебираем вершины графа, обращая внимание только на предсказанную вероятность. То есть на каждом шаге поиска мы идем в вершину с наибольшим значением path probability (если у нескольких вершин pp‑значение одинаковое, то идем в ту, у которой f‑значение меньше по аналогии с A*). Если у нас очень хорошая карта вероятностей, в которой 1 стоит только вдоль нужного пути, то мы только по нему и пройдём.

Второй вариант использования PPM при поиске более консервативный. Перед началом работы алгоритма мы задаем некоторый параметр w > 1 (как во взвешенном A*), который регулирует субоптимальность решения. Например, если w = 1.1, то это значит, что мы хотим гарантированно на выходе получить решение, стоимость которого не превышает стоимость оптимального решения более чем в 1.1 раза (на 10%). Далее на каждой итерации в списке вершин‑кандидатов мы смотрим на все вершины у которых f‑значение больше либо равно минимальному f‑значению, умноженному на w. И уже из них выбираем ту, у которой pp‑значение минимально. Такой подход в литературе по эвристическому поиску носит имя Focal Search. В отличие от жадного поиска он обладает теоретическими гарантиями на стоимость итогового решения.

На практике после обучения PPM поиск с ним выглядит как на следующей картинке.

Поиск с предсказанной PPM. Слева (как и раньше) результат работы стандартного A*. По центру — предсказанная по карте (и старту‑финишу) PPM. Справа — жадный поиск (Greedy Best‑First Search, GBFS) с предсказанной PPM. Прям отлично поиск себя ведёт.
Поиск с предсказанной PPM. Слева (как и раньше) результат работы стандартного A*. По центру — предсказанная по карте (и старту‑финишу) PPM. Справа — жадный поиск (Greedy Best‑First Search, GBFS) с предсказанной PPM. Прям отлично поиск себя ведёт.

Чем и как учили

Важным отличием нашей работы от имеющихся является то, какую нейросетевую модель мы использовали. Ранние работы использовали лишь сверточные нейросети, мы же помимо сверток использовали и блоки внимания, т. е. у нас трансформерная архитектура (с позициональными эмбеддингами, необходимыми для обработки картинок, естественно).

Более детально архитектура модели показана на следующем рисунке. На нём вы видим сверточный кодировщик, декодировщик и трансформерный блок между ними.

Архитектура нашей нейросетевой модели. Слева общая архитектура, потом — архитектура ResNet блока и потом архитектура трансформерного блока.
Архитектура нашей нейросетевой модели. Слева общая архитектура, потом — архитектура ResNet блока и потом архитектура трансформерного блока.

Мы, конечно, не знаем точно, на что именно обращает внимание модель, но гипотеза у нас следующая. Сверточные слои улавливают особенности карты, влияющие на планирование: углы препятствий, узкие проходы и прочее. А трансформенные блоки улавливают взаимосвязи между ними, из серии «нам нужно сначала обогнуть этот угол препятствия, потом пройти в этом проход, и дальше по прямой до финиша». То есть свертки смотрят локально, а блоки внимания — глобально. Это гипотеза в принципе подтверждается экспериментами, где мы отключали трансформерную часть и оставляли только сверточный кодировщик‑декодировщик — см. рисунок.

На одних свертках (слева) далеко не уедешь. Видно, что чисто сверточная модель не смогла предсказать важный участок пути в середине, а вот с блоками внимания (справа) такой проблемы нет. Поэтому и результат получается гораздо лучше.
На одних свертках (слева) далеко не уедешь. Видно, что чисто сверточная модель не смогла предсказать важный участок пути в середине, а вот с блоками внимания (справа) такой проблемы нет. Поэтому и результат получается гораздо лучше.

Что касается режима обучения, то мы пробовали учить и в режиме NeuralA* (т. е. end‑to‑end с прогоном градиента функции потерь через блоки поиска) и в простом режиме обучения с учителем. Последний способ, во‑первых, оказался более быстрым (что было ожидаемо), во‑вторых, не уступал по основным метрикам качества (стоимость итогового решения, количество итераций поиска). Поэтому мы в итоге остановились на нём.

Эталонные примеры для cf‑значений мы составляли стандартным образом — запускали классический поиск по всему графу из целевой клетки, чтобы получить значения идеальной эвристики, и делили каждое такое значение на значение диагональной эвристики в этой клетке. Для PPM эталонные примеры составлялись более хитро. Мы искали кратчайший путь от старта до финиша (причем делали это с помощью any‑angle алгоритма Theta*, чтобы избежать проблемы множества симметричных кратчайших путей) и далее «размывали» его окрестности. Более того, эмпирически мы обнаружили, что лучше обрезать все значения вероятности, которые меньше 0.95. То есть в итоге мы получаем эдакие путевые «колбасы», как показано на рисунке справа. Сеть учится их повторять.

Слева картинка-задание. По центру — полная PPM. Справа — обрезанная (то, что мы между собой называли “колбасой”)
Слева картинка‑задание. По центру — полная PPM. Справа — обрезанная (то, что мы между собой называли «колбасой»)

Эксперименты

Для экспериментов мы расширили датасет, на котором проводили эксперименты авторы NeuralA* до 64 000 различных карт (часть была получена за счет аугментаций). Сам датасет и код нашего метода, естественно, открыт. Основное что нас интересовало это то, насколько сокращается число итераций поиска при использовании наших предсказанных эвристик, и какой стоимости получается итоговый путь. Не буду приводить детальные таблицы с результатами (они есть в нашей статье), просто скажу, что мы оказались лучше как традиционных техник в виде взвешенного A*, так и обучаемых конкурентов, в т.ч. NeuralA*. Схематично результаты выглядят как на картинке ниже.

Некоторые примеры работы различных алгоритмов поиска на заданиях из тестовой части датасета (т. е. нейросетвые методы не видели именно этих карт и заданий при обучении). Первые 4 столбца — это не наши методы. Зеленым показаны области поиска, т. е. алгоритмы исследовали эти области на карте, «думая», что там может быть путь. Столбы WA*+CF, FS+PPM (w = 2), GBFS+PPM — это наши планировщики. Видно, что мы почти не производим «лишних вычислений» (зеленой заливки почти нет). Самый правый столбец — визуализация предсказания PPM нейросетью, т. е. по мнение нейросети путь должен выглядеть примерно так (и, собственно, так оно и есть).
Некоторые примеры работы различных алгоритмов поиска на заданиях из тестовой части датасета (т. е. нейросетвые методы не видели именно этих карт и заданий при обучении). Первые 4 столбца — это не наши методы. Зеленым показаны области поиска, т. е. алгоритмы исследовали эти области на карте, «думая», что там может быть путь. Столбы WA*+CF, FS+PPM (w = 2), GBFS+PPM — это наши планировщики. Видно, что мы почти не производим «лишних вычислений» (зеленой заливки почти нет). Самый правый столбец — визуализация предсказания PPM нейросетью, т. е. по мнение нейросети путь должен выглядеть примерно так (и, собственно, так оно и есть).

Если же всё‑таки говорить про цифры, то в среднем на тестовой части датасета (т. е. на картах и заданиях, которые сеть вообще не видела при обучении) мы сокращаем число итераций поиска в среднем в 3–4 раза по сравнению с A* (и это лучше, чем у конкурентов), при этом длина результирующего пути повышается незначительно, на 0.5–1% по сравнению с оптимальной длиной (это, опять же, лучше, чем у конкурентов).

Мы также провели дополнительные эксперименты на картах, которые существенно отличались от тех, что были использованы на этапе обучения. Это называется out‑of‑the‑distribution экспериментами и это серьезный тест на прочность для любых нейросетевых подходов, т.к. известно, что они не всегда хорошо справляются с заданиями, которые «не похожи» на те, что были при обучении.

Результаты out-of-the-distribution экспериментов
Результаты out-of-the-distribution экспериментов

Результаты этих тестов показали, что, с одной стороны, эффективность предложенного подхода снижается, но мы всё равно сокращаем число итераций поиска в два раза по сравнению с A* (а не 3–4 как раньше). С другой стороны мы всё равно лучше конкурентов. Из рисунка выше видно, что основные проблемы в этой серии тестов нам доставили карты лабиринтного типа, где вообще очень сложно понять как должен выглядеть путь (пока мы не исследуем весь лабиринт).

В целом, у нас, как я сказал выше, всё получилось весьма хорошо. Мы лучше конкурентов сокращаем пространство поиска. Пути, которые строит наш метод, незначительно уступают оптимальным (буквально на несколько процентов). Наша нейросеть неплохо генерализуется на «непредвиденные» задачи. Кажется, что на этом можно было бы поставить точку, но по научной традиции хотелось бы завершить пост дискуссией.

Дискуссия

В конце предыдущего абзаца можно было бы поставить точку и радостно пойти пить кофе, но научная честность не позволяет так поступить. По‑хорошему, нам еще надо ответить на основной дискуссионный вопрос — на хрена зачем всё это нужно?

Если встать на позицию сурового критика, то можно рассуждать так:

«Для того чтобы найти путь на сетчатом графе в целом не требуется много ресурсов и пара сотен (тысяч, да даже десятков/сотен тысяч) «лишних» итераций, которые делает A* в целом не выглядит проблемой. Это просто микросекунды на любом современном вычислителе. При этом A* гарантированно дает оптимальное решение и работает с любыми входными данными (алгоритмически A* все равно на размер карты и на то какие на ней препятствия). Вы же приплетаете сюда нейросети, которые, наверняка, требуют кучу ресурсов, просто чтобы посчитать те эвристики, что вы предлагаете. Не разбиваете ли вы простой орех кувалдой? И если вы уж так хотите получить для каждого задания идеальную эвристику, то просто запустите поиск в ширину из финиша. Наверняка по ресурсам это будет примерно то же самое, что прогнать вашу чудесную нейросеть, но зато а) не нужно никакого этапа обучения б) метод универсальный и работает на любых картах в) результат будет гарантирован, т. е. A* вообще не сделает никаких лишних итераций и найдет 100% кратчайший путь!»

Это правильные аргументы и давайте на них ответим.

Во‑первых, в основе многих научных работ (а то что мы сделали, это прежде всего научная работа, без прицела на какой‑то конкретный сценарий использования) лежит простое любопытство — посмотреть «а как оно будет, если…». Глупо отрицать, что в основе нашей работы во многом также лежало это любопытство. Мы хотели понять: если взять известную и понятную задачу, которой сто лет в обед, и ударить по ней современным трансформерным дип ленингом, то, во‑первых, «а как бить», а во‑вторых «что получится»? Ответы на оба вопроса стали нам более понятны в конечном счете. Мы придумали, и как бить, и измерили (и сравнили с аналогами) результат. Вышло неплохо. Хочется надеяться, что это будет принято во внимание другими специалистами и проявит себя, может быть даже не напрямую, в других исследованиях.

Во‑вторых, мы, в отличие от всех (sic!) конкурентов, проводили замеры времени, которое требуется на то, чтобы посчитать эвристику, и оно вполне разумное, если вести обработку батчами, как это принято в машинном обучении. Другими словами, если в наш планировщик приходит одновременно куча запросов на планирование, то здесь прогон нейросети на GPU выгоден, т.к. она (нейросеть) за один проход сразу может считать несколько эвристик для различных поступивших на вход задач. Например, если на батче в 64 задания подобных тем, на которых мы проводили тесты в нашей статье, запустить стандартный A*, то на расчет уйдет 155 мс на CPU. Если же запустить наш метод, то сначала уйдет 10 — 40 мс (в зависимости от железа, а именно A100 или GTX 1660S) на GPU и потом порядка 30 мс на CPU (том же, на котором запускается чистый A*). Такие образом уже прослеживается экономия. Если же увеличивать батч и/или переходить ко всяким трюкам принятым в машинном обучении для ускорения нейросетей (дистиляция, переход к более «легким» типам данных и пр.), то экономия может стать вполне ощутимой.

В‑третьих, действительно для рассмотренного сетапа с 8-связным сетчатым графом трансформенные нейросети для предсказания эвристики можно считать оверкиллом. Но здесь мотивация еще и в том, чтобы обкатать основные технологические принципы на простом домене и потом перенести их на что‑то посложнее. Например, мы (как и некоторые другие коллеги) сейчас экспериментируем с планированием напрямую на картинках. В этой постановке у нас нет бинарного грида, а есть, например, спутниковый снимок местности и надо прямо по нему проложить маршрут. A* здесь просто не сработает, потому что у нас нет известной модели стоимости переходов. При этом нейросетевые методы, подобные тем, что описаны выше в посте, щелкают такие орешки на раз‑два (при наличии обучающей выборки, конечно же).

Домен, в котором предложенный подход работает, а чистый A* - нет: планирование по картинке, когда стоимость перемещения (от пикселя к пикселю) неизвестна, но у нас есть обучающая выборка (со стоимостью). Слева - пример задачи, нужно найти путь из S в G по некоторой (явно холмистой) местности. По центру - построенная нашей нейросетью PPM. Справа - путь, найденный с помощью этой PPM. Выглядит разумно.
Домен, в котором предложенный подход работает, а чистый A* — нет: планирование по картинке, когда стоимость перемещения (от пикселя к пикселю) неизвестна, но у нас есть обучающая выборка (со стоимостью). Слева — пример задачи, нужно найти путь из S в G по некоторой (явно холмистой) местности. По центру — построенная нашей нейросетью PPM. Справа — путь, найденный с помощью этой PPM. Выглядит разумно.

В целом, на мой взгляд именно за интеграцией нейросетевых методов и классических алгоритмов будущее (а не лишь за «голыми» нейросетями и большими данными), поэтому важно искать способы и объединять эти два мира, чем мы, собственно, и занимались.

На этом, пожалуй, я завершу свой рассказ. Надеюсь, он был вам полезен. Буду рад ответить на ваши вопросы в комментариях.

Благодарности

Я бы хотел поблагодарить соавторов публикации «TransPath: Learning Heuristics For Grid‑Based Pathfinding via Transformers», о которой идет речь в обзоре, а именно — Даниила Кириленко, Антона Андрейчука и Александра Панова. Также хочется упомянуть коллег, которые участвовали в ранних стадиях исследования — Василия Давыдова, Наталью Соболеву и Алексея Артёмова.

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    I strongly advise using this very reputable Recovery Hacker101for anyone looking to recover any type of crypto currencies assets from online frauds, Wallet hackers, or BTC transferred to the wrong address. After I lost a lot of money to those terrible con artists posing as recovery specialists, this recovery specialist was great in aiding me in getting my Bitcoin back. After I gave Recovery Hacker101 the relevant details and prerequisites, a total of 1.4170 BTC was eventually recovered. I was overjoyed that I had been able to recover this much after having lost even more to the problems I had dealt with before discovering Recovery Hacker101. So don’t hesitate to get in touch with recoveryhacker101 AT gmail com. if you find yourself in this scenario and need help recovering from an online bitcoin scam

  • 09.09.25 15:05 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

  • 09.09.25 15:05 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

  • 09.09.25 15:05 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

  • 09.09.25 20:23 Bramfloris

    Recovering Stolen USDT If your USDT or other crypto assets were stolen, contact Sylvester Bryant at Yt7cracker@gmail. com. He can help you get your money back. I lost €220,000 in a scam. Mr. Bryant was the only expert who successfully recovered my funds. Reach him on WhatsApp at +1 512 577 7957 for fast, expert help. He is very honest. He can recover your stolen assets.

  • 09.09.25 20:37 DAVEortega1010

    Be wary of fraudulent cryptocurrency recovery services. Many promise to recover your lost digital currency. These services often provide excuses or fail to deliver any results. This only adds to your distress. After several unsuccessful attempts with others, I discovered a genuine expert. This individual was highly capable and provided excellent assistance. They successfully recovered my stolen cryptocurrency. I was finally able to find peace of mind. If you have lost crypto, you should contact them. talk to [email protected] for help. You can also send a text message via WhatsApp to +447366445035, Stop losing time on scams. They can help you get your money back.

  • 10.09.25 00:45 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

  • 10.09.25 00:45 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

  • 11.09.25 03:31 DAVEortega1010

    Be wary of fraudulent cryptocurrency recovery services. Many promise to recover your lost digital currency. These services often provide excuses or fail to deliver any results. This only adds to your distress. After several unsuccessful attempts with others, I discovered a genuine expert. This individual was highly capable and provided excellent assistance. They successfully recovered my stolen cryptocurrency. I was finally able to find peace of mind. If you have lost crypto, you should contact them. talk to [email protected] for help. You can also send a text message via WhatsApp to +447366445035, Stop losing time on scams. They can help you get your money back.

  • 11.09.25 13:44 grace

    i fell for an investment scam also and lost $250k worth of bitcoin luckily i found anthonydavies01 on telegram with his assistance i got back over 85% of my money. him and his team are top notch

  • 11.09.25 15:03 stevensjonas

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  • 11.09.25 18:51 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

  • 11.09.25 18:51 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

  • 11.09.25 18:51 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

  • 12.09.25 13:11 grace

    I lost my money to them few months ago. I lost over $244,000, they denied my withdrawal request and and also left it pending. I reached out to them and they never responded back tooth my emails and calls. They eventually locked me out of my account. I had to reach out to a recovery expert ( anthonydaviestech@gmail com) to help me recover all my money back. I have gotten my money back**you can also text him via whatsapp: +19514908435

  • 12.09.25 15:06 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

  • 12.09.25 15:06 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

  • 13.09.25 20:45 Clinton

    I know firsthand how devastating it feels to lose money to a scam. When it happened to me, I was left frustrated, hopeless, and unsure where to turn. Complaining to apps about being scammed on their platforms didn’t change anything it felt like no one cared. But through a friend’s advice, I connected with a recovery professional who gave me real hope. With their help, I was able to get my funds back, something I thought was impossible. I’m sharing this because I don’t want anyone else to feel as lost as I once did. Whether you’ve been scammed through crypto platforms, dating scams, real-estate or mortgage fraud, or even fake ICOs, please know there’s still a way forward. If you’ve lost money, reach out to Recoveryfundprovider(@)gmail(.)com).) or (WhatsApp) at (+)44 7366445035 for consultation and recovery services.

  • 14.09.25 00:54 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

  • 14.09.25 00:54 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

  • 14.09.25 02:37 luciajessy3

    Don’t be deceived by different testimonies online that is most likely wrong. I have made use of several recovery options that got me disappointed at the end of the day but I must confess that the tech genius I eventually found is the best out here. It’s better you devise your time to find the valid professional that can help you recover your stolen or lost crypto such as bitcoins rather than falling victim of other amateur hackers that cannot get the job done. ADAMWILSON . TRADING @ CONSULTANT COM / WHATSAPP ; +1 (603) 702 ( 4335 ) is the most reliable and authentic blockchain tech expert you can work with to recover what you lost to scammers. They helped me get back on my feet and I’m very grateful for that. Contact their email today to recover your lost coins ASAP…

  • 14.09.25 02:37 luciajessy3

    Don’t be deceived by different testimonies online that is most likely wrong. I have made use of several recovery options that got me disappointed at the end of the day but I must confess that the tech genius I eventually found is the best out here. It’s better you devise your time to find the valid professional that can help you recover your stolen or lost crypto such as bitcoins rather than falling victim of other amateur hackers that cannot get the job done. ADAMWILSON . TRADING @ CONSULTANT COM / WHATSAPP ; +1 (603) 702 ( 4335 ) is the most reliable and authentic blockchain tech expert you can work with to recover what you lost to scammers. They helped me get back on my feet and I’m very grateful for that. Contact their email today to recover your lost coins ASAP…

  • 14.09.25 12:44 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

  • 14.09.25 12:44 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

  • 14.09.25 15:13 estherfords

    My solana recovery experience with Mighty Hacker Recovery Expert.

  • 14.09.25 15:13 estherfords

    My solana recovery experience with Mighty Hacker Recovery Expert. Contact them on +14042456415 WhatsApp

  • 14.09.25 17:48 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

  • 14.09.25 17:48 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

  • 14.09.25 20:49 Clinton

    I know firsthand how devastating it feels to lose money to a scam. When it happened to me, I was left frustrated, hopeless, and unsure where to turn. Complaining to apps about being scammed on their platforms didn’t change anything it felt like no one cared. But through a friend’s advice, I connected with a recovery professional who gave me real hope. With their help, I was able to get my funds back, something I thought was impossible. I’m sharing this because I don’t want anyone else to feel as lost as I once did. Whether you’ve been scammed through crypto platforms, dating scams, real-estate or mortgage fraud, or even fake ICOs, please know there’s still a way forward. If you’ve lost money, reach out to ([email protected]) or (WhatsApp) at (+)44 7366445035 for consultation and recovery services.

  • 14.09.25 22:16 Berrysmith

    I recently recovered a large sum of digital assets. Sylvester Bryant, reachable at Yt7cracker@gmail. com, helped me reclaim 720,000 in Ethereum. The entire experience was excellent. I highly recommend Mr. Sylvester. He assists those dealing with lost or stolen funds. His skill in getting back money from scams is outstanding. Scammers cause huge stress and financial pain. Mr. Bryant offers a crucial service. He provides a way to possibly recover stolen funds. His professional manner built trust. If you lost money to scams, contact him. He is also on WhatsApp at +1 512 577 7957. This makes it easy to discuss your case. Recovering this amount was difficult. Mr. Bryant showed deep knowledge of the technical work. His commitment to solving these problems is clear. Seek his help for lost crypto or other digital assets. This is a major concern for many. Expert aid can greatly improve outcomes.

  • 15.09.25 10:25 aliceforemanlaw

    I got back a lot of digital money recently. Sylvester Bryant helped me recover 120,000 in Ethereum. You can reach him at Yt7cracker@gmail. com. It was a great experience overall. I really suggest Mr. Sylvester. He helps people who lost money. He is great at getting money back from scams. Scammers cause a lot of stress and hurt. Mr. Bryant offers an important service. He can help you get back stolen funds. He was very professional and earned my trust. Contact him if you lost money to scams. He is also on WhatsApp at +1 512 577 7957. This makes it easy to talk about your situation. Getting this amount back was tough. Mr. Bryant knew a lot about the technical parts. His drive to fix these issues is clear. Get his help if you lost crypto or other digital items. Many people worry about this. Getting expert help can really make a difference.

  • 15.09.25 12:49 robertalfred175

    CRYPTO SCAM RECOVERY SUCCESSFUL – A TESTIMONIAL OF LOST PASSWORD TO YOUR DIGITAL WALLET BACK. My name is Robert Alfred, Am from Australia. I’m sharing my experience in the hope that it helps others who have been victims of crypto scams. A few months ago, I fell victim to a fraudulent crypto investment scheme linked to a broker company. I had invested heavily during a time when Bitcoin prices were rising, thinking it was a good opportunity. Unfortunately, I was scammed out of $120,000 AUD and the broker denied me access to my digital wallet and assets. It was a devastating experience that caused many sleepless nights. Crypto scams are increasingly common and often involve fake trading platforms, phishing attacks, and misleading investment opportunities. In my desperation, a friend from the crypto community recommended Capital Crypto Recovery Service, known for helping victims recover lost or stolen funds. After doing some research and reading multiple positive reviews, I reached out to Capital Crypto Recovery. I provided all the necessary information—wallet addresses, transaction history, and communication logs. Their expert team responded immediately and began investigating. Using advanced blockchain tracking techniques, they were able to trace the stolen Dogecoin, identify the scammer’s wallet, and coordinate with relevant authorities to freeze the funds before they could be moved. Incredibly, within 24 hours, Capital Crypto Recovery successfully recovered the majority of my stolen crypto assets. I was beyond relieved and truly grateful. Their professionalism, transparency, and constant communication throughout the process gave me hope during a very difficult time. If you’ve been a victim of a crypto scam, I highly recommend them with full confidence contacting: 📧 Email: [email protected] 📱 Telegram: @Capitalcryptorecover Contact: [email protected] 📞 Call/Text: +1 (336) 390-6684 🌐 Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 15.09.25 12:49 robertalfred175

    CRYPTO SCAM RECOVERY SUCCESSFUL – A TESTIMONIAL OF LOST PASSWORD TO YOUR DIGITAL WALLET BACK. My name is Robert Alfred, Am from Australia. I’m sharing my experience in the hope that it helps others who have been victims of crypto scams. A few months ago, I fell victim to a fraudulent crypto investment scheme linked to a broker company. I had invested heavily during a time when Bitcoin prices were rising, thinking it was a good opportunity. Unfortunately, I was scammed out of $120,000 AUD and the broker denied me access to my digital wallet and assets. It was a devastating experience that caused many sleepless nights. Crypto scams are increasingly common and often involve fake trading platforms, phishing attacks, and misleading investment opportunities. In my desperation, a friend from the crypto community recommended Capital Crypto Recovery Service, known for helping victims recover lost or stolen funds. After doing some research and reading multiple positive reviews, I reached out to Capital Crypto Recovery. I provided all the necessary information—wallet addresses, transaction history, and communication logs. Their expert team responded immediately and began investigating. Using advanced blockchain tracking techniques, they were able to trace the stolen Dogecoin, identify the scammer’s wallet, and coordinate with relevant authorities to freeze the funds before they could be moved. Incredibly, within 24 hours, Capital Crypto Recovery successfully recovered the majority of my stolen crypto assets. I was beyond relieved and truly grateful. Their professionalism, transparency, and constant communication throughout the process gave me hope during a very difficult time. If you’ve been a victim of a crypto scam, I highly recommend them with full confidence contacting: 📧 Email: [email protected] 📱 Telegram: @Capitalcryptorecover Contact: [email protected] 📞 Call/Text: +1 (336) 390-6684 🌐 Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 15.09.25 12:49 robertalfred175

    CRYPTO SCAM RECOVERY SUCCESSFUL – A TESTIMONIAL OF LOST PASSWORD TO YOUR DIGITAL WALLET BACK. My name is Robert Alfred, Am from Australia. I’m sharing my experience in the hope that it helps others who have been victims of crypto scams. A few months ago, I fell victim to a fraudulent crypto investment scheme linked to a broker company. I had invested heavily during a time when Bitcoin prices were rising, thinking it was a good opportunity. Unfortunately, I was scammed out of $120,000 AUD and the broker denied me access to my digital wallet and assets. It was a devastating experience that caused many sleepless nights. Crypto scams are increasingly common and often involve fake trading platforms, phishing attacks, and misleading investment opportunities. In my desperation, a friend from the crypto community recommended Capital Crypto Recovery Service, known for helping victims recover lost or stolen funds. After doing some research and reading multiple positive reviews, I reached out to Capital Crypto Recovery. I provided all the necessary information—wallet addresses, transaction history, and communication logs. Their expert team responded immediately and began investigating. Using advanced blockchain tracking techniques, they were able to trace the stolen Dogecoin, identify the scammer’s wallet, and coordinate with relevant authorities to freeze the funds before they could be moved. Incredibly, within 24 hours, Capital Crypto Recovery successfully recovered the majority of my stolen crypto assets. I was beyond relieved and truly grateful. Their professionalism, transparency, and constant communication throughout the process gave me hope during a very difficult time. If you’ve been a victim of a crypto scam, I highly recommend them with full confidence contacting: 📧 Email: [email protected] 📱 Telegram: @Capitalcryptorecover Contact: [email protected] 📞 Call/Text: +1 (336) 390-6684 🌐 Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 16.09.25 12:25 aliceforemanlaw

    Sylvester Bryant helped me recover 120,000 in Ethereum. You can reach him at Yt7cracker@gmail. com. It was a great experience overall. I really suggest Mr. Sylvester. He helps people who lost money. He is great at getting money back from scams. Scammers cause a lot of stress and hurt. Mr. Bryant offers an important service. He can help you get back stolen funds. He was very professional and earned my trust. Contact him if you lost money to scams. He is also on WhatsApp at +1 512 577 7957. This makes it easy to talk about your situation. Getting this amount back was tough. Mr. Bryant knew a lot about the technical parts. His drive to fix these issues is clear. Get his help if you lost crypto or other digital items. Many people worry about this. Getting expert help can really make a difference.

  • 16.09.25 12:26 aliceforemanlaw

    Sylvester Bryant helped me recover 120,000 in Ethereum. You can reach him at Yt7cracker@gmail. com. It was a great experience overall. I really suggest Mr. Sylvester. He helps people who lost money. He is great at getting money back from scams. Scammers cause a lot of stress and hurt. Mr. Bryant offers an important service. He can help you get back stolen funds. He was very professional and earned my trust. Contact him if you lost money to scams. He is also on WhatsApp at +1 512 577 7957. This makes it easy to talk about your situation. Getting this amount back was tough. Mr. Bryant knew a lot about the technical parts. His drive to fix these issues is clear. Get his help if you lost crypto or other digital items. Many people worry about this. Getting expert help can really make a difference.

  • 16.09.25 13:25 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

  • 16.09.25 13:25 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

  • 17.09.25 02:56 peju1213

    It can be very concerning to lose access to your USDT (Tether) wallet. It could potentially result in permanent loss of significant funds. You may have misplaced your private keys. Perhaps you unintentionally erased something, or your security was breached. It seems hopeless when you are unable to access your USDT. However, it doesn't have to stop there. There are methods for recovering your lost USDT. During difficult circumstances, professional assistance and wise recuperation techniques can give you hope. get in touch with Marie ([email protected] and +1 7127594675) on WhatsApp.

  • 17.09.25 11:16 [email protected]

    Sylvester Bryant helped me recover $510,000 in Ethereum, and I highly recommend his services. He specializes in helping people recover funds lost to scams. Scammers can cause significant stress, but Mr. Bryant's professionalism and expertise in the technical aspects of recovery earned my trust. If you've lost money through scams, you can reach him at [ yt7cracker@gmail. com ] or on WhatsApp at +1 512 577 7957. His dedication to helping people get their stolen funds back is clear, and his support made a huge difference in my case.

  • 17.09.25 11:16 [email protected]

    Sylvester Bryant helped me recover $510,000 in Ethereum, and I highly recommend his services. He specializes in helping people recover funds lost to scams. Scammers can cause significant stress, but Mr. Bryant's professionalism and expertise in the technical aspects of recovery earned my trust. If you've lost money through scams, you can reach him at [ yt7cracker@gmail. com ] or on WhatsApp at +1 512 577 7957. His dedication to helping people get their stolen funds back is clear, and his support made a huge difference in my case.

  • 17.09.25 23:50 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

  • 17.09.25 23:50 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

  • 17.09.25 23:50 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

  • 18.09.25 11:55 Mundo

    Sylvester Bryant recovered £400,000 in Ethereum for me. I strongly advise using his services. He focuses on retrieving money lost to fraudulent schemes. Scams cause immense worry. Mr. Bryant's expert knowledge and calm approach in getting funds back reassured me. If you have lost money to scams, contact him via email at [email protected]. You can also reach him on WhatsApp at +1 512 577 7957. He is committed to helping people recover their stolen assets. His support was invaluable in my situation.

  • 18.09.25 11:55 Mundo

    Sylvester Bryant recovered £400,000 in Ethereum for me. I strongly advise using his services. He focuses on retrieving money lost to fraudulent schemes. Scams cause immense worry. Mr. Bryant's expert knowledge and calm approach in getting funds back reassured me. If you have lost money to scams, contact him via email at [email protected]. You can also reach him on WhatsApp at +1 512 577 7957. He is committed to helping people recover their stolen assets. His support was invaluable in my situation.

  • 18.09.25 12:22 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

  • 18.09.25 12:22 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

  • 18.09.25 13:04 Mundo

    Sylvester Bryant recovered £400,000 in Ethereum for me. I strongly advise using his services. He focuses on retrieving money lost to fraudulent schemes. Scams cause immense worry. Mr. Bryant's expert knowledge and calm approach in getting funds back reassured me. If you have lost money to scams, contact him via email at [email protected]. You can also reach him on WhatsApp at +1 512 577 7957. He is committed to helping people recover their stolen assets. His support was invaluable in my situation.

  • 18.09.25 16:46 carolinehudso83

    I noticed a lot of online recommendations, and it’s clear that some of them are bad eggs that will just make уour mуsterу worse. I can onlу suggest one, and if уou need assistance getting back the moneу уou lost to scammers, уou can contact them bу email at: [email protected] Whats app or text +1 518 468 2985 Website https://bestrecoveryagent.com/

  • 19.09.25 00:54 frank2025

    Anthony davies played a crucial role in successfully recovering my stolen USDT, which was valued at more than $300,000. His expertise and dedication made the recovery process smooth and efficient. Throughout the entire time, he demonstrated himself to be a reliable recovery agent. His professionalism and commitment to his clients are evident in the results he achieves. If you find yourself in a similar situation or need assistance, he is available for contact. You can reach anthony through email at (anthonydaviestech AT gmail dot com). Alternatively, he is also accessible via telegram at anthonydavies01. Reaching out to him could be the first step toward recovering your lost assets

  • 19.09.25 10:02 faithlawrence

    Sylvester Bryant recovered £400,000 in Ethereum for me. I strongly advise using his services. He focuses on retrieving money lost to fraudulent schemes. Scams cause immense worry. Mr. Bryant's expert knowledge and calm approach in getting funds back reassured me. If you have lost money to scams, contact him via email at [email protected]. You can also reach him on WhatsApp at +1 512 577 7957. He is committed to helping people recover their stolen assets. His support was invaluable in my situation.

  • 19.09.25 10:02 faithlawrence

    Sylvester Bryant recovered £400,000 in Ethereum for me. I strongly advise using his services. He focuses on retrieving money lost to fraudulent schemes. Scams cause immense worry. Mr. Bryant's expert knowledge and calm approach in getting funds back reassured me. If you have lost money to scams, contact him via email at [email protected]. You can also reach him on WhatsApp at +1 512 577 7957. He is committed to helping people recover their stolen assets. His support was invaluable in my situation.

  • 19.09.25 15:27 tonykith01477

    There are not many reviews about free crypto recovery fixed but the ones that exist are mostly positive. I have no idea how that is possible, but it is clear that they are fabricated. However, there are also negative reviews – and I highly recommend paying attention to them. These are real people describing their unfortunate experiences with this scam. It’s the same story as always – fraudsters create a fake website to con people out of money. Nothing new but look no more and contact FASTRECOVERYAGENT These types of scams are everywhere. If you have already lost money to scammers i mean any type be it sending to scammers account , or if you have a case about stolen bitcoin , usdt, or any type of cryptocurrency whatsoever just reach out to www.fastrecoveryagent.com, i really owe this group of recovery expert because they saved me after bad investment with a fake broker, i literally owe them my life as they saved me from some bunch of scammers, but see how life is , i got every cent of my investment back with the profit , reach out to to them today and tell them from Mary because i promise them i will tell the whole world when the recovery is complete, and here i go after i got my recovered assets thats why im doing what i promised. do not fall for another scam. contact the,m today!!!!

  • 19.09.25 17:12 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

  • 19.09.25 17:12 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

  • 20.09.25 15:05 faithlawrence

    I can’t recommend Sylvester Bryant enough. He successfully recovered €210,000 in Ethereum for me after I had lost hope. His expertise in tracing and reclaiming funds from scams is truly remarkable. What stood out most was his calm, professional approach and deep technical knowledge, which gave me complete confidence throughout the process. If you’ve lost money to a scam, I strongly encourage you to reach out to him. You can contact him via email at [[email protected] ] or on WhatsApp at +1 512 577 7957. He is genuinely dedicated to helping people recover what they’ve lost, and his support has been invaluable to me.

  • 20.09.25 15:53 blessing1198

    It is distressing to lose USDT due to a bitcoin wallet hack. Although it is challenging, stolen USDT can be recovered. Taking prompt, wise action increases your chances. Marie can help you with reporting the theft, what to do right away, and USDT recovery. Contact her on WhatsApp at +1 7127594675, or email [email protected].

  • 21.09.25 12:05 star1121

    Consider this: In cryptocurrency, you see what appears to be a fantastic opportunity. After investing your hard-earned money, you see it disappear into the wallet of a con artist. Your bank account seems empty as rage and regret merge in this stomach punch. These days, cryptocurrency frauds are very common, however recovering your cryptocurrency from scammers is still possible. You can track down and possibly recover what you lost with shrewd actions. Marie can help; contact her at [email protected] and on WhatsApp at +1 7127594675.

  • 23.09.25 03:23 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

  • 23.09.25 03:23 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

  • 23.09.25 03:23 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

  • 23.09.25 03:54 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

  • 23.09.25 14:45 Raymondkrisitina

    Sylvester Bryant gets my full recommendation. He helped me get back €230,000 in Ethereum when I thought it was gone forever. His skills in tracking and retrieving scam-lost funds amaze me. I appreciated his steady, expert manner and strong tech know-how. That built my trust every step of the way. If a scam has taken your money, get in touch with him right away. Email him at yt7cracker@gmail. com or message on WhatsApp at +1 512 577 7957. He truly commits to aiding folks in regaining their assets. His help meant everything to me.

  • 23.09.25 19:27 beverlyalex010

    In 2022, I lost 1.5 ETH in what I thought was a promising Twitter investment. I reached out to the so-called brokers behind it, but they vanished and stopped replying. For years, I carried the heavy belief that my crypto was gone forever. Then, by chance, I discovered RecoveryFundProvider [email protected] WhatsApp at +44 736-644-5035 through a finance podcast. That moment changed everything. Their team didn’t lure me in with false promises or flashy guarantees. Instead, they explained their process clearly specializing in advanced blockchain tracing, smart contract forensics, and even transaction reversal in certain cases. Skeptical but hopeful, I allowed them to review my case. What followed was beyond my expectations. They dug deep into the blockchain ledger, followed the coin’s complex movements across multiple addresses, and even collaborated with global nodes to trace every trail. Two weeks later, I received an alert I never thought I’d see again: my crypto had been fully recovered and safely transferred back to me. I cried tears of relief. What sets RecoveryFundProvider apart isn’t just their cutting-edge expertise, but their unwavering ethics and dedication. They treat every client like more than just another case number even years after a loss. Today, I can confidently say they live up to their name, and I’m endlessly grateful.

  • 23.09.25 22:38 Raymondkrisitina

    Sylvester Bryant gets my full recommendation. He helped me get back €230,000 in Ethereum when I thought it was gone forever. His skills in tracking and retrieving scam-lost funds amaze me. I appreciated his steady, expert manner and strong tech know-how. That built my trust every step of the way. If a scam has taken your money, get in touch with him right away. Email him at yt7cracker@gmail. com or message on WhatsApp at +1 512 577 7957. He truly commits to aiding folks in regaining their assets. His help meant everything to me.

  • 24.09.25 12:22 beverlyalex010

    In 2022, I lost 1.5 ETH in what I thought was a promising Twitter investment. I reached out to the so-called brokers behind it, but they vanished and stopped replying. For years, I carried the heavy belief that my crypto was gone forever. Then, by chance, I discovered RecoveryFundProvider [email protected] WhatsApp at +44 736-644-5035 through a finance podcast. That moment changed everything. Their team didn’t lure me in with false promises or flashy guarantees. Instead, they explained their process clearly specializing in advanced blockchain tracing, smart contract forensics, and even transaction reversal in certain cases. Skeptical but hopeful, I allowed them to review my case. What followed was beyond my expectations. They dug deep into the blockchain ledger, followed the coin’s complex movements across multiple addresses, and even collaborated with global nodes to trace every trail. Two weeks later, I received an alert I never thought I’d see again: my crypto had been fully recovered and safely transferred back to me. I cried tears of relief. What sets RecoveryFundProvider apart isn’t just their cutting-edge expertise, but their unwavering ethics and dedication. They treat every client like more than just another case number even years after a loss. Today, I can confidently say they live up to their name, and I’m endlessly grateful.

  • 24.09.25 15:50 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

  • 24.09.25 15:50 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

  • 24.09.25 15:50 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

  • 24.09.25 19:08 Raymondkrisitina

    Sylvester Bryant gets my full recommendation. He helped me get back €230,000 in Ethereum when I thought it was gone forever. His skills in tracking and retrieving scam-lost funds amaze me. I appreciated his steady, expert manner and strong tech know-how. That built my trust every step of the way. If a scam has taken your money, get in touch with him right away. Email him at yt7cracker@gmail. com or message on WhatsApp at +1 512 577 7957. He truly commits to aiding folks in regaining their assets. His help meant everything to me.

  • 24.09.25 19:50 Raymondkrisitina

    Sylvester Bryant gets my full recommendation. He helped me get back €230,000 in Ethereum when I thought it was gone forever. His skills in tracking and retrieving scam-lost funds amaze me. I appreciated his steady, expert manner and strong tech know-how. That built my trust every step of the way. If a scam has taken your money, get in touch with him right away. Email him at yt7cracker@gmail. com or message on WhatsApp at +1 512 577 7957. He truly commits to aiding folks in regaining their assets. His help meant everything to me.

  • 24.09.25 19:55 Athea5130

    ETHICAL BITCOIN HACKER/ BEST WAY RECOVERY BITCOIN I believed I was completely lost. I was unable to withdraw money from my investment wallet after making a dubious investment, and until I discovered Best Way Hacker Company, no one could assist me in unfreezing it. This group handled my matter with attention and urgency. In a matter of days, they were able to retrieve my frozen investment and transfer it to a new wallet that I owned. They restored my hope in a big way. Best Way Hacker restored my money and my peace of mind, and for that I will always be grateful. Email.. [email protected] WhatsApp..+39-(350)-967-(1925)

  • 24.09.25 19:56 Athea5130

    ETHICAL BITCOIN HACKER/ BEST WAY RECOVERY BITCOIN I believed I was completely lost. I was unable to withdraw money from my investment wallet after making a dubious investment, and until I discovered Best Way Hacker Company, no one could assist me in unfreezing it. This group handled my matter with attention and urgency. In a matter of days, they were able to retrieve my frozen investment and transfer it to a new wallet that I owned. They restored my hope in a big way. Best Way Hacker restored my money and my peace of mind, and for that I will always be grateful. Email.. [email protected] WhatsApp..+39-(350)-967-(1925)

  • 24.09.25 19:56 Athea5130

    ETHICAL BITCOIN HACKER/ BEST WAY RECOVERY BITCOIN I believed I was completely lost. I was unable to withdraw money from my investment wallet after making a dubious investment, and until I discovered Best Way Hacker Company, no one could assist me in unfreezing it. This group handled my matter with attention and urgency. In a matter of days, they were able to retrieve my frozen investment and transfer it to a new wallet that I owned. They restored my hope in a big way. Best Way Hacker restored my money and my peace of mind, and for that I will always be grateful. Email.. [email protected] WhatsApp..+39-(350)-967-(1925)

  • 24.09.25 19:56 Athea5130

    ETHICAL BITCOIN HACKER/ BEST WAY RECOVERY BITCOIN I believed I was completely lost. I was unable to withdraw money from my investment wallet after making a dubious investment, and until I discovered Best Way Hacker Company, no one could assist me in unfreezing it. This group handled my matter with attention and urgency. In a matter of days, they were able to retrieve my frozen investment and transfer it to a new wallet that I owned. They restored my hope in a big way. Best Way Hacker restored my money and my peace of mind, and for that I will always be grateful. Email.. [email protected] WhatsApp..+39-(350)-967-(1925)

  • 24.09.25 20:52 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

  • 24.09.25 20:52 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

  • 12:29 beverlyalex010

    In 2022, I lost 1.5 ETH in what I thought was a promising Twitter investment. I reached out to the so-called brokers behind it, but they vanished and stopped replying. For years, I carried the heavy belief that my crypto was gone forever. Then, by chance, I discovered RecoveryFundProvider (recoveryfundprovider @ gmail. com WhatsApp +44 736-644-5035) through a finance podcast. That moment changed everything. Their team didn’t lure me in with false promises or flashy guarantees. Instead, they explained their process clearly specializing in advanced blockchain tracing, smart contract forensics, and even transaction reversal in certain cases. Skeptical but hopeful, I allowed them to review my case. What followed was beyond my expectations. They dug deep into the blockchain ledger, followed the coin’s complex movements across multiple addresses, and even collaborated with global nodes to trace every trail. Two weeks later, I received an alert I never thought I’d see again: my crypto had been fully recovered and safely transferred back to me. I cried tears of relief. What sets RecoveryFundProvider apart isn’t just their cutting-edge expertise, but their unwavering ethics and dedication. They treat every client like more than just another case number even years after a loss. Today, I can confidently say they live up to their name, and i am endlessly grateful.

  • 15:42 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

  • 15:42 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

  • 16:40 Slimbella

    I fully recommend Sylvester Bryant. He recovered €230,000 in Ethereum for me after I believed it was lost for good. His talent for tracing and reclaiming funds stolen by scammers impresses me deeply. I valued his calm, skilled approach and solid grasp of technology. This gained my confidence at every turn. If scammers have stolen your cash, contact him now. Reach out by email at yt7cracker@gmail. com or via WhatsApp at +1 512 577 7957. He dedicates himself to helping people recover their belongings. His support changed everything for me.

  • 16:40 Slimbella

    I fully recommend Sylvester Bryant. He recovered €230,000 in Ethereum for me after I believed it was lost for good. His talent for tracing and reclaiming funds stolen by scammers impresses me deeply. I valued his calm, skilled approach and solid grasp of technology. This gained my confidence at every turn. If scammers have stolen your cash, contact him now. Reach out by email at yt7cracker@gmail. com or via WhatsApp at +1 512 577 7957. He dedicates himself to helping people recover their belongings. His support changed everything for me.

  • 19:08 beverlyalex010

    In 2022, I lost 1.5 ETH in what I thought was a promising Twitter investment. I reached out to the so-called brokers behind it, but they vanished and stopped replying. For years, I carried the heavy belief that my crypto was gone forever. Then, by chance, I discovered RecoveryFundProvider ( [email protected]. WhatsApp +44 736-644-5035) through a finance podcast. That moment changed everything. Their team didn’t lure me in with false promises or flashy guarantees. Instead, they explained their process clearly specializing in advanced blockchain tracing, smart contract forensics, and even transaction reversal in certain cases. Skeptical but hopeful, I allowed them to review my case. What followed was beyond my expectations. They dug deep into the blockchain ledger, followed the coin’s complex movements across multiple addresses, and even collaborated with global nodes to trace every trail. Two weeks later, I received an alert I never thought I’d see again: my crypto had been fully recovered and safely transferred back to me. I cried tears of relief. What sets RecoveryFundProvider apart isn’t just their cutting-edge expertise, but their unwavering ethics and dedication. They treat every client like more than just another case number even years after a loss. Today, I can confidently say they live up to their name, and i am endlessly grateful.

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