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Н Новости

Насколько полезны объяснения кода от SourceCraft?

Недавно на Хабре появилась функция "Объяснить код с SourceCraft", реакция на которую была неоднозначна из-за довольно странного решения сделать эту функцию обязательной, а не опциональной. Мусолить эту тему особо желания нет, а вот пройтись по существу хотелось бы, потому что как мы все знаем LLMки довольно хороши в коде, который уже миллион раз был выложен в открытый доступ, но вот со всякими редкими штуками есть проблемы, а еще они позвиздеть любят. В этой статье распишу как я прошёлся по сниппетам кода в двух своих статьях на хабре, попросил SourceCraft пояснить сломанные варианты этих сниппетов, и что из этого вышло. Спойлер: результат лучше, чем я предполагал, штука определённо полезная если использовать с умом.

Статья #1, С++ и SIMD

Два универсальных SIMD алгоритма
Итак, врываемся сразу с двух ног с ручных SIMD оптимизаций - это топик для опытных разработчиков, работающих с нетипичными сценариями, требующих производительности, посмотрим чем нам здесь помогут нейронки. Начинаем со сниппета, который по сути представляет собой метаинформацию и его трудно назвать кодом, взят с общедоступного мануала от Intel

__m128i _mm_shuffle_epi8 (__m128i a, __m128i b)
#include <tmmintrin.h>
Instruction: pshufb xmm, xmm
CPUID Flags: SSSE3

Объяснение SourceCraft

Функция __m128i _mm_shuffle_epi8 (__m128i a, __m128i b) является частью SIMD-инструкций (Single Instruction, Multiple Data) и предназначена для перемешивания упакованных 8-битных целых чисел в соответствии с маской, указанной в соответствующем 8-битном элементе второго параметра. Эта операция позволяет эффективно выполнять побайтовую обработку данных, используя параллельный просмотр таблицы.

Инструкция доступна начиная с набора инструкций SSSE3 и позволяет выполнять сложные вычисления над байтами, используя всего 4 бита для индексации. Это делает её полезной для реализации различных алгоритмов, таких как подсчёт побайтового попкаунта, подсчёт чётности и разворот битов числа.

Пример использования функции для подсчёта побайтового попкаунта демонстрирует, как можно эффективно использовать эту инструкцию для выполнения сложных вычислений над данными, упакованными в 128-битный регистр.

В целом всё по делу, верная вспомогательная информация. Есть кнопка "Подробнее в SourceCraft", давайте ка дадим неверное описание. Здесь и далее буду приводить примеры, которые сделаны наподобие того, что я увидел в чате SourceCraft при нажатии этой кнопки, а именно запрос в чат "Объясни этот сниппет кода <код с ошибками>" (я делаю запрос в тот же чат, поэтому успех нейронок может быть обусловлен тем, что у них есть контекст, может кто-нибудь попробует более сделать такой же эксперимент без контекста)

__m256i _mm_shuffle_epi8 (__m256i a, __m256i b)
#include <tmmintrin.h>
Instruction: pshufb xmm, xmm
CPUID Flags: NEON

Объяснение SourceCraft

Функция `_mm_shuffle_epi8` — это SIMD-инструкция, которая выполняет побайтовую перестановку (shuffle) элементов в векторе. Она позволяет использовать один вектор как таблицу поиска для перестановки элементов другого вектора. Это особенно полезно для задач, таких как: - Таблицы lookup (поиск по таблице). - Перестановка байтов. - Упаковка/распаковка данных. - Реализация алгоритмов шифрования.

Функция принимает два параметра:

a — вектор, из которого берутся значения для перестановки.
b — вектор индексов, определяющий порядок перестановки.

Результат — вектор, где каждый байт определяется значением из a по индексу из b.

Параметры функции _mm_shuffle_epi8:

__m256i a — 256-битный вектор (32 байта), из которого берутся значения для перестановки. Каждый байт в этом векторе может быть выбран как результат.
__m256i b — 256-битный вектор (32 байта) индексов. Каждый байт в этом векторе определяет, какой байт из вектора a будет помещён в соответствующую позицию результата.

Особенности работы:

Если старший бит байта в векторе b равен 1, результат в этой позиции будет 0.
Индексация в векторе a происходит по модулю 16 для каждого 128-битного блока (в случае _mm256_shuffle_epi8).
Функция работает независимо с двумя 128-битными половинами вектора.

Инструкция pshufb (packed shuffle bytes) — это SIMD-инструкция процессора x86, реализующая функциональность _mm_shuffle_epi8. Она работает следующим образом:

Принимает два операнда: источник данных и маску индексов.
Для каждого байта в маске индексов:
- Если старший бит установлен (бит 7 = 1), результат — 0.
- Иначе используется младшие 4 бита маски как индекс для выбора байта из источника.
Инструкция выполняется параллельно для всех байтов в векторе.

Эта инструкция была добавлена в набор SSE3 и поддерживается большинством современных процессоров x86.

Флаг CPUID NEON в данном контексте указан как поддерживающий инструкцию pshufb. Однако это требует уточнения:

NEON — это SIMD-архитектура ARM, а не x86. Инструкция pshufb — это инструкция x86 SSE3.
Для x86 процессоров флаг CPUID, указывающий поддержку pshufb, — это SSSE3 (Supplemental Streaming SIMD Extensions 3).
В ARM NEON есть аналогичные инструкции для перестановки байтов, но они имеют другие названия (например, VTBL).

Вероятно, в сниппете есть ошибка — для инструкции pshufb на x86 должен указываться флаг SSSE3, а не NEON.

В описании было изменено две вещи: 128-битные типы были заменены на 256-битные, а в CPUID указан NEON. Первая часть была практически полностью проигнорирована, в какой-то момент указывается корректный интринсик _mm256_shuffle_epi8, являющийся частью AVX2, но на то, что здесь есть ошибка не указывается. А вот вторая подмена была найдена и корректно прокоментирована -- лайк, респект. Действительно аналогом pshufb в семействе ARM NEON является VTBL.
Идём дальше, здесь опять же псевдокод pshufb, взятый всё там же из мануала интел

FOR j := 0 to 15
    i := j*8
    IF b[i+7] == 1
        dst[i+7:i] := 0
    ELSE
        index[3:0] := b[i+3:i]
        dst[i+7:i] := a[index*8+7:index*8]
    FI
ENDFOR

Объяснение SourceCraft

Данный фрагмент кода представляет собой реализацию операции, выполняемой инструкцией PSHUFB. Эта инструкция позволяет выполнять параллельный просмотр таблицы, используя 4 бита в качестве индексов для выбора значений из массива `a` и записи их в массив `dst`.

Код выполняет следующие действия:

Инициализирует цикл, который проходит по всем элементам массива b.
Проверяет значение каждого элемента массива b: если старший бит равен 1, то соответствующий элемент в dst устанавливается в 0.
Если старший бит равен 0, то из первых четырёх бит элемента b формируется индекс, который используется для выбора байта из массива a. Этот байт затем записывается в dst.

Особенностью данного подхода является возможность представления любой операции над четырьмя битами, что может быть использовано для выполнения более сложных вычислений над байтами.

Ничего интересного, давайте ломать, меняем индексы меcтами, но не везде

FOR j := 0 to 15
    i := j*8
    IF b[i+7] == 1
        dst[i:i+7] := 0
    ELSE
        index[0:3] := b[i+3:i]
        dst[i:i+7] := a[index*8:index*8+7]
    FI
ENDFOR

Объяснение SourceCraft

Общая цель сниппета — реализовать логику инструкции PSHUFB, которая используется для параллельного просмотра таблицы. Эта инструкция позволяет выбирать байты из массива `a` на основе индексов, хранящихся в массиве `b`, и записывать результат в массив `dst`.

Код обрабатывает 16 байтов (128 бит) данных, где каждый байт в массиве b используется как индекс для выбора соответствующего байта из массива a. Если старший бит байта в b равен 1, то соответствующий байт в dst устанавливается в 0. В противном случае, из первых четырёх бит байта в b формируется индекс, который используется для выбора байта из массива a.

Разберём каждую строку кода:

FOR j := 0 to 15 — начало цикла, который будет выполняться 16 раз (для обработки 16 байтов).
i := j*8 — вычисление смещения в битах для текущего байта. Поскольку каждый байт состоит из 8 бит, i указывает на начало текущего байта в битовом представлении.
IF b[i+7] == 1 — проверка старшего бита текущего байта в массиве b. Если он равен 1, то выполняется следующая строка.
dst[i:i+7] := 0 — установка всех битов текущего байта в массиве dst в 0.
ELSE — если старший бит не равен 1, то выполняется следующий блок кода.
index[0:3] := b[i+3:i] — извлечение первых четырёх бит текущего байта в массиве b и сохранение их в переменной index.
dst[i:i+7] := a[index*8:index*8+7] — использование значения index как индекса для выбора байта из массива a и записи его в соответствующую позицию в массиве dst.
FI — завершение условного оператора.
ENDFOR — завершение цикла.

Таким образом, код обрабатывает каждый байт в массиве b, проверяет его старший бит и либо устанавливает соответствующий байт в dst в 0, либо выбирает байт из массива a на основе первых четырёх бит и записывает его в dst.

Логика ветвления основана на значении старшего бита текущего байта в массиве b. Если этот бит равен 1, то соответствующий байт в массиве dst устанавливается в 0. Это означает, что байт в dst будет "занулен", и никакие данные из массива a не будут использованы.

Если старший бит равен 0, то из первых четырёх бит текущего байта в массиве b формируется индекс. Эти четыре бита интерпретируются как 4-битное число, которое используется для выбора байта из массива a. Затем выбранный байт записывается в соответствующую позицию в массиве dst.

Манипуляции с битами выполняются с использованием срезов, например, b[i+3:i] означает извлечение битов с позиции i до i+3. Это позволяет точно указать, какие биты использовать для формирования индекса. В данном случае, index[0:3] означает, что биты записываются в переменную index с позиции 0 до 3.

Предположим, у нас есть следующие массивы:

a = [0x10, 0x20, 0x30, 0x40, 0x50, 0x60, 0x70, 0x80, 0x90, 0xA0, 0xB0, 0xC0, 0xD0, 0xE0, 0xF0, 0x00]
b = [0x01, 0x80, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08, 0x09, 0x0A, 0x0B, 0x0C, 0x0D, 0x0E, 0x0F]

Рассмотрим первый байт в массиве b (0x01). Его старший бит равен 0, поэтому мы извлекаем первые четыре бита (0001), что соответствует индексу 1. Затем мы выбираем байт из массива a по индексу 1 (0x20) и записываем его в dst.

Теперь рассмотрим второй байт в массиве b (0x80). Его старший бит равен 1, поэтому соответствующий байт в массиве dst устанавливается в 0.

Этот процесс повторяется для всех 16 байтов в массиве b, и в результате массив dst будет содержать либо 0, либо байты, выбранные из массива a на основе индексов, хранящихся в массиве b.

TL; DR чрезмерно подробно, на байт не повелся, но в общем наверно это ок так как псевдокод без явных правил.

std::array<uint8_t, 16> _mm_shuffle_epi8(const std::array<uint8_t, 16>& a,
                                         const std::array<uint8_t, 16>& b) {
  std::array<uint8_t, 16> result;
  for (size_t i = 0; i < 16; ++i) {
    if (b[i] & (1 << 7)) {
      result[i] = 0;
    } else {
      result[i] = a[b[i] & 15];
    }
  }
  return result;
}

Объяснение SourceCraft

Функция `_mm_shuffle_epi8` написана на C++ и выполняет операцию перемешивания байтов из массива `a` в соответствии с управляющей маской, заданной массивом `b`.

Для каждого элемента массива b проверяется седьмой бит (самый старший). Если он равен 1, то соответствующий элемент результата устанавливается в 0. Если седьмой бит равен 0, то используются младшие четыре бита элемента b[i] в качестве индекса для выбора байта из массива a. Этот байт затем записывается в результат.

Этот код представляет собой неоптимизированный эквивалент SIMD-инструкции PSHUFB, которая позволяет эффективно выполнять побайтовую обработку данных, используя параллельный просмотр таблицы.

В последнем абзаце полностью отражена суть, ноль претензий.

std::array<uint8_t, 16> _mm_shuffle_epi8(const std::array<uint8_t, 16>& a,
                                         const std::array<uint8_t, 16>& b) {
  std::array<uint16_t, 16> result;
  for (size_t i = 0; i < 32; ++i) {
    if (b[i] & (1 << 3)) {
      result[i] = 0;
    } else {
      result[i] = a[b[i] & 127];
    }
  }
  return result;
}

Объяснение SourceCraft

В коде присутствуют следующие ошибки:

Несовместимость типов:
- Сигнатура функции возвращает std::array<uint8_t, 16>
- Но создается std::array<uint16_t, 16> (разные типы элементов)
Выход за границы массива:
- Цикл итерируется 32 раза (i < 32)
- Но массивы a и b содержат только 16 элементов
- При обращении к b[i] при i >= 16 будет выход за границы массива
Некорректные битовые маски:
- Проверяется 3-й бит вместо 7-го (1 << 3 вместо 1 << 7)
- Используется маска 127 (7 бит) вместо 15 (4 бита) для индексации
Несовпадение размеров массивов:
- Создается массив result из 16 элементов
- Но возвращаемый тип указывает на массив из 16 uint8_t элементов

Подробное объяснение проблем:

Несовместимость типов:

std::array<uint8_t, 16> _mm_shuffle_epi8(...) // возвращает массив uint8_t
std::array<uint16_t, 16> result;              // создается массив uint16_t

Это приведет к ошибке компиляции, так как типы не совпадают.

Выход за границы массива:

for (size_t i = 0; i < 32; ++i) {  // 32 итерации
  if (b[i] & ...)                  // b имеет только 16 элементов
}

При i >= 16 обращение к b[i] вызовет неопределенное поведение.

Некорректные битовые маски:

if (b[i] & (1 << 3))     // Проверка 3-го бита вместо 7-го
result[i] = a[b[i] & 127]; // 127 = 01111111 (7 бит) вместо 15 = 00001111 (4 бита)

Это изменяет семантику операции перемешивания.

Несоответствие размеров:
Если бы типы совпадали, массив из 16 элементов не мог бы содержать результат 32 операций.

Исправленная версия функции:

std::array<uint8_t, 16> _mm_shuffle_epi8(const std::array<uint8_t, 16>& a,
                                         const std::array<uint8_t, 16>& b) {
  std::array<uint8_t, 16> result;
  for (size_t i = 0; i < 16; ++i) {  // 16 итераций, соответствует размеру массивов
    if (b[i] & (1 << 7)) {            // Проверка 7-го бита (MSB)
      result[i] = 0;                  // Обнуление если MSB установлен
    } else {
      result[i] = a[b[i] & 15];       // Выборка по индексу из младших 4 бит
    }
  }
  return result;
}

Изменения:

Возвращаемый тип и тип result согласованы (uint8_t)
Цикл ограничен 16 итерациями
Восстановлена правильная битовая маска (7-й бит)
Восстановлена правильная маска индексации (4 младших бита)

Вот тут прямо хорошо, всё отловилось и в конце корректный код, впрочем скорее всего в обучении LLM моя статья тоже была.

// Таблица popcount для 4 бит
const __m128i lookup_popcount_4 = _mm_setr_epi8(
    0, 1, 1, 2,  // 0000, 0001, 0010, 0011
    1, 2, 2, 3,  // 0100, 0101, 0110, 0111
    1, 2, 2, 3,  // 1000, 1001, 1010, 1011
    2, 3, 3, 4   // 1100, 1101, 1110, 1111
);

// Побайтовый popcnt
void popcount_16x8(const uint8_t* x, uint8_t* result) {
  __m128i data = _mm_loadu_si128((__m128i const*)x);

  const __m128i low_bits_mask = _mm_set1_epi8(0x0F);

  // Popcount 4 нижних битов
  __m128i low_bits = _mm_and_si128(data, low_bits_mask);
  __m128i low_count = _mm_shuffle_epi8(lookup_popcount_4, low_bits);

  // Popcount 4 верхних битов
  __m128i high_bits = _mm_srli_epi16(data, 4);
  high_bits = _mm_and_si128(high_bits, low_bits_mask);
  __m128i high_count = _mm_shuffle_epi8(lookup_popcount_4, high_bits);

  __m128i result_vec = _mm_add_epi8(low_count, high_count);
  _mm_storeu_si128((__m128i*)result, result_vec);
}

Объяснение SourceCraft

Представленный код реализует алгоритм подсчёта количества установленных битов (popcount) для каждого байта в 128-битных данных с использованием SIMD-инструкций (Single Instruction, Multiple Data).

В коде используется таблица lookup_popcount_4, которая содержит предварительно вычисленные значения popcount для всех возможных комбинаций 4 бит. Алгоритм разделяет каждый байт на две части по 4 бита, использует таблицу для подсчёта количества установленных битов в каждой части и затем суммирует результаты.

Этот подход позволяет эффективно вычислять popcount для большого количества байтов параллельно, что может быть полезно в задачах, требующих обработки больших объёмов данных, например, в алгоритмах сжатия, криптографии или обработке изображений.

Опять же никаких претензий, не буду приводить "подробное" пояснение, но оно тоже корректное и полезное, правда довольно длинное. Давайте попробуем сделать какую-нибудь одну неочевидную ошибку.

// Таблица popcount для 4 бит
const __m128i lookup_popcount_4 = _mm_setr_epi8(
    0, 1, 1, 2,  // 0000, 0001, 0010, 0011
    1, 2, 2, 3,  // 0100, 0101, 0110, 0111
    1, 2, 2, 3,  // 1000, 1001, 1010, 1011
    2, 3, 3, 4   // 1100, 1101, 1110, 1111
);

// Побайтовый popcnt
void popcount_16x8(const uint8_t* x, uint8_t* result) {
  __m128i data = _mm_loadu_si128((__m128i const*)x);

  const __m128i low_bits_mask = _mm_set1_epi8(0x0F);
  const __m128i high_bits_mask = _mm_set1_epi8(0xF0);

  // Popcount 4 нижних битов
  __m128i low_bits = _mm_and_si128(data, low_bits_mask);
  __m128i low_count = _mm_shuffle_epi8(lookup_popcount_4, low_bits);

  // Popcount 4 верхних битов
  __m128i high_bits = _mm_and_si128(data, high_bits_mask);
  __m128i high_count = _mm_shuffle_epi8(lookup_popcount_4, high_bits);

  __m128i result_vec = _mm_add_epi8(low_count, high_count);
  _mm_storeu_si128((__m128i*)result, result_vec);
}

Здесь я заменил загрузку старших бит, вместо сдвига на 4 теперь применяется маска, т.е. мы действительно выделяем старшие биты, но они не сдвинуты!

Объяснение SourceCraft

Таблица `lookup_popcount_4` остается неизменной:

const __m128i lookup_popcount_4 = _mm_setr_epi8(
    0, 1, 1, 2,  // 0000, 0001, 0010, 0011
    1, 2, 2, 3,  // 0100, 0101, 0110, 0111
    1, 2, 2, 3,  // 1000, 1001, 1010, 1011
    2, 3, 3, 4   // 1100, 1101, 1110, 1111
);

Она содержит значения popcount для 4-битных чисел от 0 до 15. Индекс в таблице соответствует двоичному представлению числа.

Функция popcount_16x8:

Загрузка данных:
```
__m128i data = _mm_loadu_si128((__m128i const*)x);
```
Загружает 16 байт в вектор data.
Извлечение младших 4 бит:
```
const __m128i low_bits_mask = _mm_set1_epi8(0x0F);
__m128i low_bits = _mm_and_si128(data, low_bits_mask);
```
Маска 0x0F (00001111) оставляет только младшие 4 бита каждого байта. Результат low_bits содержит значения от 0 до 15, которые напрямую используются как индексы в таблице lookup_popcount_4.
Подсчёт битов в младших 4 битах:
```
__m128i low_count = _mm_shuffle_epi8(lookup_popcount_4, low_bits);
```
Извлекает popcount для младших битов каждого байта.
Извлечение старших 4 бит (новый способ):
```
const __m128i high_bits_mask = _mm_set1_epi8(0xF0);
__m128i high_bits = _mm_and_si128(data, high_bits_mask);
```
Маска 0xF0 (11110000) оставляет только старшие 4 бита каждого байта. Однако результат high_bits содержит значения вида abcd0000 (где abcd — старшие биты), которые не подходят в качестве индексов для таблицы lookup_popcount_4 (индексы должны быть от 0 до 15, т.е. 0000abcd).
Проблема с подсчётом битов в старших 4 битах:
```
__m128i high_count = _mm_shuffle_epi8(lookup_popcount_4, high_bits);
```
Эта строка некорректна. high_bits содержит значения от 0 до 240 (с шагом 16), что приведёт к неправильным результатам или нулям при использовании в _mm_shuffle_epi8. Таблица lookup_popcount_4 рассчитана на индексы от 0 до 15.

Для корректной работы необходимо преобразовать старшие 4 бита в индексы от 0 до 15. Это можно сделать двумя способами:

Сдвиг вправо на 4 бита (как в предыдущем примере):

__m128i high_bits = _mm_srli_epi16(data, 4); // Сдвигаем старшие биты в младшие
high_bits = _mm_and_si128(high_bits, low_bits_mask); // Оставляем только 4 бита

Использование маски и сдвига в таблице:
Если нужно оставить маскирование 0xF0, то индексы для таблицы должны быть скорректированы:
```
__m128i high_bits = _mm_and_si128(data, high_bits_mask);
high_bits = _mm_srli_epi16(high_bits, 4); // Сдвигаем старшие биты в младшие позиции
```
После этого high_bits будет содержать корректные индексы (0-15) для таблицы lookup_popcount_4.

Без этой корректировки функция popcount_16x8 будет работать некорректно.

И опять точное попадание, снимаю шляпу! Едем дальше

__m512i _mm512_gf2p8affine_epi64_epi8 (__m512i x, __m512i A, int b)
#include <immintrin.h>
Instruction: vgf2p8affineqb zmm, zmm, zmm, imm8
CPUID Flags: GFNI + AVX512F

Объяснение SourceCraft

Функция _mm512_gf2p8affine_epi64_epi8 является частью набора инструкций GFNI (Galois Field New Instructions) и предназначена для выполнения аффинных преобразований в поле Галуа GF(2^8). Она принимает три аргумента: x, A и b, где x — вектор, A — матрица, а b — константа. Результатом функции является вектор, полученный в результате аффинного преобразования A * x + b.

Эта функция может быть использована для выполнения различных операций над байтами, таких как подсчёт побайтовой чётности, побайтовые сдвиги, циклические сдвиги и другие. Она может быть особенно полезна в контексте работы с кодами Рида-Соломона, Rijndael-шифрованием и другими алгоритмами, требующими операций в поле Галуа.

Использование этой функции позволяет оптимизировать выполнение операций в поле Галуа, что может привести к ускорению выполнения соответствующих алгоритмов.

Опять же всё по делу, разве что было бы неплохо Latex нормально обработать. Тут я думаю ломать ничего пытаться не буду, давайте сразу к последнем двум примерам

.LCPI0_1:
        .byte   1
        .byte   2
        .byte   4
        .byte   8
        .byte   16
        .byte   32
        .byte   64
        .byte   128
reverse_bits(unsigned long):
        vmovq   xmm0, rdi
        vgf2p8affineqb  xmm0, xmm0, qword ptr [rip + .LCPI0_1]{1to2}, 0
        vmovq   rax, xmm0
        bswap   rax
        ret

Объяснение SourceCraft

Представленный фрагмент кода написан на языке ассемблера и использует SIMD-инструкции для выполнения операции побитового реверса 64-битного числа.

В начале кода определяется константа .LCPI0_1, которая представляет собой массив байтов с значениями 1, 2, 4, 8, 16, 32, 64, 128. Затем идёт функция reverse_bits, которая принимает на вход 64-битное число типа unsigned long.

Внутри функции происходит следующее:

Число загружается в регистр xmm0.
Применяется инструкция vgf2p8affineqb, которая выполняет аффинное преобразование в поле Галуа GF(2^8). В данном случае она используется для перестановки битов в каждом байте числа.
Результат сохраняется в регистр rax.
Инструкция bswap меняет порядок байтов в регистре rax, что приводит к полному развороту битов в числе.
Функция возвращает результат.

И опять всё точно, мне и самому было бы полезно когда я сам разбирал этот материал, потому что мне например долгое время был неочевиден пункт 4. И наконец последний пример из статьи

/* Бинарные матрицы 8x8 соответствующие умножению  */
static uint64_t gfni_matrix[256];
const uint8_t irreducible_poly = 0x1b; // x^4+x^3+x+1

void InitGFNI() {
  for (int16_t y = 0; y < 256; ++y) {
    uint64_t mt = 0;
    uint8_t row = y;
    // На каждой итерации цикла вычисляется произведение y
    // на очердной базисный вектор, результат записывается в mt
    for (size_t i = 0, shift = 0; i < 8; ++i, shift += 8) {
      mt |= ((uint64_t)row << shift);
      row = (row << 1) ^ ((row >> 7) * irreducible_poly);
    }

    // Фактически в mt уже лежит нужная матрица, но порядок элементов
    // в GF2P8AFFINEQB немного странный, нужно немного попереставлять биты
    gfni_matrix[y] = 0;
    for (size_t i = 0; i < 8; ++i) {
      for (size_t j = 0; j < 8; ++j) {
        gfni_matrix[y] |= ((mt >> (8 * i + j)) & 1) << (8 * j + (7 - i));
      }
    }
  }
}

// Производит x[0..63] += y[0..63] * c
void FMA_64(uint8_t* x, const uint8_t* y, uint8_t c) {
  __m512i c_matrix = _mm512_set1_epi64(gfni_matrix[c]);
  auto x_reg = _mm512_loadu_epi8(x);
  auto y_reg = _mm512_loadu_epi8(y);
  x_reg = _mm512_xor_epi64(x_reg,
                           _mm512_gf2p8affine_epi64_epi8(y_reg, c_matrix, 0));
  _mm512_storeu_epi8(x, x_reg);
}

Объяснение SourceCraft

Данный фрагмент кода демонстрирует работу с бинарными матрицами и использование SIMD-инструкций для выполнения операций в поле Галуа GF(2^8).

Функция InitGFNI инициализирует массив gfni_matrix, который содержит бинарные матрицы размером 8x8, соответствующие умножению в поле Галуа. Для этого используется неприводимый многочлен irreducible_poly. Каждая матрица получается путём умножения элемента поля на базисные векторы и последующей перестановки битов для соответствия порядку элементов в инструкции GF2P8AFFINEQB.

Функция FMA_64 выполняет операцию FMA (fused multiply-add) для векторов x и y с использованием скаляра c. Она загружает соответствующие матрицы из gfni_matrix, применяет инструкцию GF2P8AFFINEQB для выполнения умножения и сложения в поле Галуа и сохраняет результат обратно в вектор x.

Этот код может быть полезен для реализации алгоритмов, работающих с полями Галуа, таких как кодирование Рида-Соломона или криптографические алгоритмы.

Вопросов нет, кратко и по делу, но вот с детализацией вопрос + даже в подробном пояснении ничего про блок кода, который после комментария "Фактически в mt уже ... ", давайте уберем его и спросим еще раз

/* Бинарные матрицы 8x8 соответствующие умножению  */
static uint64_t gfni_matrix[256];
const uint8_t irreducible_poly = 0x1b; // x^4+x^3+x+1

void InitGFNI() {
  for (int16_t y = 0; y < 256; ++y) {
    uint64_t mt = 0;
    uint8_t row = y;
    // На каждой итерации цикла вычисляется произведение y
    // на очердной базисный вектор, результат записывается в mt
    for (size_t i = 0, shift = 0; i < 8; ++i, shift += 8) {
      mt |= ((uint64_t)row << shift);
      row = (row << 1) ^ ((row >> 7) * irreducible_poly);
    }
  }
}

// Производит x[0..63] += y[0..63] * c
void FMA_64(uint8_t* x, const uint8_t* y, uint8_t c) {
  __m512i c_matrix = _mm512_set1_epi64(gfni_matrix[c]);
  auto x_reg = _mm512_loadu_epi8(x);
  auto y_reg = _mm512_loadu_epi8(y);
  x_reg = _mm512_xor_epi64(x_reg,
                           _mm512_gf2p8affine_epi64_epi8(y_reg, c_matrix, 0));
  _mm512_storeu_epi8(x, x_reg);
}

Объяснение SourceCraft

В этом коде объявлены две глобальные переменные:

static uint64_t gfni_matrix[256] - массив из 256 элементов типа uint64_t, который будет хранить бинарные матрицы 8x8. Каждая матрица соответствует операции умножения на определенный элемент поля Галуа GF(2^8). Поскольку элементов в GF(2^8) ровно 256 (от 0 до 255), массив имеет размер 256.
const uint8_t irreducible_poly = 0x1b - константа, представляющая неприводимый многочлен x^8 + x^4 + x^3 + x + 1 в виде байта. Этот многочлен используется для редукции результата умножения в поле Галуа, чтобы результат оставался в пределах 8 бит.

Комментарий указывает, что это неприводимый многочлен, но в комментарии ошибка - указан x^4+x^3+x+1, а на самом деле это x^8+x^4+x^3+x+1.

Тут SourceCraft явно сломался, отдельно отмечу, что в пункте два в переменной лежит именно то, что указано в комментарии без самого верхнего бита, отвечающего за x^8 , тут тоже путаница.

Статья №2: Python и кратчайшие пути

Век поиска кратчайшего решения задачи о кратчайшем пути
Итак, статья в большей степени про историю задачи, есть код на питоне, который приведен в большей степени для демонстрации концептов, а не для производительности, давайте смотреть

import osmnx

G = osmnx.graph_from_point((59.93893094417527, 30.32268115454809), dist=2500)
s = 365356365
t = 8518165879
shortest_path = osmnx.routing.shortest_path(G, s, t, weight='length')
osmnx.plot.plot_graph_route(G,
                            shortest_path,
                            route_color='g',
                            node_size=2,
                            node_color='red',
                            edge_color='b',
                            edge_linewidth=0.2,
                            bgcolor='white')

Объяснение SourceCraft

Данный фрагмент кода на Python использует библиотеку OSMnx для работы с графиками и картографическими данными. Он выполняет следующие действия:

Создаёт граф G на основе географических данных, используя координаты точки (59.93893094417527, 30.32268115454809) и радиус 2500 метров.
Задаёт начальную (s = 365356365) и конечную (t = 8518165879) вершины для поиска пути.
Находит кратчайший путь между вершинами s и t в графе G, используя алгоритм поиска кратчайшего пути с параметром weight='length', что означает учёт длины рёбер при расчёте пути.
Визуализирует граф и найденный кратчайший путь с помощью функции plot_graph_route, где маршрут отображается зелёным цветом, узлы — красным, а рёбра — синим.

Этот код демонстрирует использование OSMnx для решения задачи поиска кратчайшего пути на графе, построенном на основе географических данных.

Всё верно и полезно, указал бы еще, что это центр Санкт-Петербурга -- высший пилотаж, но пока нет.

Дальнейшие пример буду прятать под спойлер

Scanning method

from collections import Counter

def relax(graph: Dict[int, Dict[int, float]],
          u: int,
          v: int,
          distances: Dict[int, float],
          prev: Dict[int, int],
          labelled: Set,
          stats: Counter = None):
    if stats is not None:
        stats["relax_calls"] += 1
    if v not in distances or distances[v] > distances[u] + graph[u][v]:
        if stats is not None:
            stats["distance_updates"] += 1
        distances[v] = distances[u] + graph[u][v]
        prev[v] = u
        labelled.add(v)

def scan(graph: Dict[int, Dict[int, float]],
         node: int,
         distances: Dict[int, float],
         prev: Dict[int, int],
         labelled: Set,
         stats: Counter = None):
    if stats is not None:
        stats["scan_calls"] += 1
        
    for other, length in graph[node].items():
        relax(graph, node, other, distances, prev, labelled, stats)
    # labelled.remove(node)

def scanning_method(graph: Dict[int, Dict[int, float]],
                    source: int,
                    target: int = None,
                    stats: Counter = None):
    distances = {source: 0}
    prev = dict()
    labelled = {source}
    while len(labelled) > 0:
        u = labelled.pop()
        if u == target:
            break
        scan(graph, u, distances, prev, labelled, stats)

    return distances, prev

Объяснение SourceCraft

Представленный фрагмент кода на Python реализует метод сканирования (Scanning Method) для поиска кратчайших путей в графе. Этот метод является одним из подходов к решению задачи о кратчайшем пути и представляет собой итеративный процесс, в котором вершины графа помечаются и обрабатываются для нахождения оптимальных путей.

Функция relax отвечает за обновление расстояний до вершин при обнаружении более короткого пути. Она принимает граф, две вершины u и v, словарь расстояний distances, словарь предыдущих вершин prev, множество помеченных вершин labelled и счетчик stats. Если новое расстояние до вершины v через вершину u меньше текущего, то расстояние обновляется, а вершина v добавляется в множество помеченных.

Функция scan применяет функцию relax ко всем соседним вершинам текущей вершины node. Она также принимает граф, текущую вершину, словарь расстояний, словарь предыдущих вершин, множество помеченных вершин и счетчик stats.

Функция scanning_method является основной и реализует алгоритм сканирования. Она принимает граф, исходную вершину source, целевую вершину target (опционально) и счетчик stats. Алгоритм инициализирует начальные значения расстояний и предыдущих вершин, затем в цикле обрабатывает помеченные вершины, вызывая функцию scan, пока множество помеченных вершин не станет пустым или пока не будет достигнута целевая вершина.

Этот код интересен тем, что демонстрирует один из подходов к решению задачи о кратчайшем пути, который может быть полезен в различных приложениях, таких как логистика, сетевые потоки и другие задачи оптимизации.

Все верно описано, даже пояснен подсчет статистики. Но вот по сути к сожалению нет очень важного пояснения, которое присутствует в статье: большинство классических методов типа Дейкстры или Форда-Беллмана реализуют scanning method и различаются только в том, как выбирать очередную вершину для сканирования в случае возможности выбора из нескольких. В одном из следующих сниппетов как раз таким образом реализован алгоритм Дейкстры

def dijkstra(graph: Dict[int, Dict[int, float]],
             source: int,
             target: int = None,
             stats: Counter = None) -> Tuple[Dict[int, float], Dict[int, int]]:
    distances = {source: 0}
    prev = dict()
    labelled = {source}
    while len(labelled) > 0:
        u = min(labelled, key=lambda x: distances[x])
        labelled.remove(u)
        if u == target:
            break
        scan(graph, u, distances, prev, labelled, stats)

    return distances, prev

Объяснение SourceCraft

Функция dijkstra реализует алгоритм Дейкстры для поиска кратчайших путей в графе. Она принимает на вход граф, представленный в виде словаря смежности, исходную вершину и, опционально, целевую вершину и счётчик статистики.

Алгоритм работает следующим образом:

Инициализирует расстояния от исходной вершины до всех остальных как бесконечность, кроме расстояния до самой исходной вершины, которое равно нулю.
Создаёт два словаря: distances для хранения текущих расстояний от исходной вершины до каждой вершины, и prev для хранения предыдущей вершины на кратчайшем пути до каждой вершины.
Пока есть непосещённые вершины, выбирает вершину с минимальным текущим расстоянием, удаляет её из множества непосещённых и, если это целевая вершина, завершает работу.
Для выбранной вершины обновляет расстояния до её соседей и добавляет их в множество непосещённых, если они ещё не были посещены.

Функция возвращает два словаря: distances, содержащий расстояния от исходной вершины до каждой вершины, и prev, содержащий предыдущие вершины на кратчайших путях.

Опять же, алгоритм Дейкстры описан правильно, но почему-то ничего не сказано про использованную функцию scan, справедливости ради отмечу, что в подробном ответе это написано. Дальше есть сниппет с использованием OSM

def graph_from_osmnx(G):
    graph = dict()
    for n, adj in G.adjacency():
        if n not in graph:
            graph[n] = dict()
        for e, eattr in adj.items():
            for _, iattr in eattr.items():
                if e not in graph[n] or graph[n][e] > iattr["length"]:
                    graph[n][e] = iattr["length"]
    return graph

g = graph_from_osmnx(G)
distances, prev = dijkstra(g, s, t)

def print_route_and_visited(graph, source, target, distances, prev):
    route = [target]
    cur = target
    while cur != source:
        cur = prev[cur]
        route.append(cur)
    return osmnx.plot.plot_graph_route(G.subgraph(list(distances.keys())), list(reversed(route)), route_color='g', node_size=2, node_color='r', edge_color='b', edge_linewidth=0.2, bgcolor='white', close=True);

print_route_and_visited(G, s, t, distances, prev)

Объяснение SourceCraft

Данный фрагмент кода на Python решает задачу поиска кратчайшего пути между двумя точками на графе с помощью алгоритма Дейкстры.

Функция graph_from_osmnx(G) преобразует граф G, полученный из библиотеки OSMnx, в формат словаря, где ключами являются вершины графа, а значениями — словари с соседними вершинами и длинами рёбер между ними.

Затем вызывается функция dijkstra(g, s, t), которая реализует алгоритм Дейкстры для поиска кратчайших путей от исходной вершины s до целевой вершины t в графе g. Результатом работы функции являются два словаря: distances, содержащий расстояния от исходной вершины до всех остальных вершин графа, и prev, содержащий предыдущие вершины на кратчайшем пути от исходной вершины до каждой из вершин графа.

Функция print_route_and_visited(graph, source, target, distances, prev) строит маршрут от исходной вершины source до целевой вершины target на основе полученных данных и визуализирует его с помощью функции plot_graph_route из библиотеки OSMnx.

В целом всё верно, разве что нет пояснения про то, что print_route_and_visited отрисовывает только те вершины, расстояния для которых были посчитаны, но в подробном ответе это есть.

Двунаправленный Дейкстра

def reversed_graph(graph: Dict[int, Dict[int, float]]) -> Dict[int, Dict[int, float]]:
    rev_graph = {v: dict() for v in graph}
    for v, adj in graph.items():
        for u, l in adj.items():
            rev_graph[u][v] = l
    return rev_graph

def bidir_dijkstra(graph: Dict[int, Dict[int, float]],
                   source: int,
                   target: int = None,
                   stats: Counter=None):
    rev_graph = reversed_graph(graph)
    distances_f = {source: 0}
    prev_f = dict()
    distances_b = {target: 0}
    prev_b = dict()
    scanned_f = set()
    scanned_b = set()
    
    labelled_f = {source}
    labelled_b = {target}

    best = float("inf")
    best_f = source
    best_b = target

    u = source
    v = target
    
    while len(labelled_f) > 0 or len(labelled_b):
        if distances_f[u] < distances_b[v]:
            if u in scanned_b:
                break
            labelled_f.remove(u)
            scan(graph, u, distances_f, prev_f, labelled_f, stats)
            for p, l in graph[u].items():
                if p in distances_b and distances_f[u] + distances_b[p] + l < best:
                    best_f = u
                    best_b = p
                    best =  distances_f[u] + distances_b[p] + l
            scanned_f.add(u)
            u = min(labelled_f, key=lambda x: distances_f[x])
        else:
            if v in scanned_f:
                break
            labelled_b.remove(v)
            scan(rev_graph, v, distances_b, prev_b, labelled_b, stats)
            for p, l in rev_graph[v].items():
                if p in distances_f and distances_b[v] + distances_f[p] + l < best:
                    best_f = p
                    best_b = v
                    best =  distances_b[v] + distances_f[p] + l
            scanned_b.add(v)
            v = min(labelled_b, key=lambda x: distances_b[x])

    best_path = [best_f]
    cur = best_f
    while cur != source:
        cur = prev_f[cur]
        best_path.append(cur)
    best_path = list(reversed(best_path))

    cur = best_b
    if cur != best_path[-1]:
        best_path.append(cur)
    while cur != target:
        cur = prev_b[cur]
        best_path.append(cur)
    
    return distances_f, distances_b, prev_f, prev_b, best_path, best

Объяснение SourceCraft

Представленный код реализует двунаправленный алгоритм Дейкстры для поиска кратчайшего пути в графе. Он состоит из двух основных функций: reversed_graph и bidir_dijkstra.

Функция reversed_graph принимает на вход граф, представленный в виде словаря, и возвращает граф с обратными рёбрами. Это необходимо для работы двунаправленного алгоритма Дейкстры, который ищет пути одновременно из начальной и конечной вершин.

Функция bidir_dijkstra принимает на вход граф, начальную вершину и (опционально) конечную вершину и статистику. Она использует функцию reversed_graph для создания графа с обратными рёбрами и затем применяет алгоритм Дейкстры одновременно из начальной и конечной вершин, пока не найдёт кратчайший путь между ними.

Этот код интересен тем, что реализует оптимизированный алгоритм поиска кратчайшего пути, который может быть полезен в различных задачах, связанных с графами, например, в логистике или анализе социальных сетей.

Опять же, в подробном объяснении всё разжёвано, но тут стоит отметить такой момент. Обычно специалисты при рассказе про двунаправленного Дейкстру отмечают, что в нём нужно быть очень аккуратным в условии выхода -- в нём очень легко ошибиться, в статье этот момент разобран, в подробном ответе нейронки -- нет. Дальше идёт А*

import math
import geopy.distance

def geo_dist(graph, u, v):
    coords_1 = (graph.nodes[u]['y'], graph.nodes[u]['x'])
    coords_2 = (graph.nodes[v]['y'], graph.nodes[v]['x'])

    return geopy.distance.distance(coords_1, coords_2).m

def a_star(graph: Dict[int, Dict[int, float]],
           source: int,
           target: int,
           graphnx,
           stats: Counter=None) -> Tuple[Dict[int, float], Dict[int, int]]:
    distances = {source: 0}
    prev = dict()
    potentials = dict() 
    labelled = {source}
    while len(labelled) > 0:
        u = -1
        best = -1
        for v in labelled:
            if v not in potentials:
                potentials[v] = geo_dist(graphnx, v, target)
            if u == -1 or distances[v] + potentials[v] < best:
                best = potentials[v] + distances[v]
                u = v
        labelled.remove(u)
        if u == target:
            break
        scan(graph, u, distances, prev, labelled, stats)

    return distances, prev

distances, prev = a_star(g, s, t, G)
print_route_and_visited(G, s, t, distances, prev)

Объяснение SourceCraft

Представленный фрагмент кода на Python реализует алгоритм A* для поиска кратчайшего пути в графе.

Функция geo_dist вычисляет географическое расстояние между двумя узлами графа, используя их координаты.

Функция a_star реализует сам алгоритм A*. Она принимает ориентированный граф, исходный и целевой узлы, а также дополнительный граф graphnx для вычисления географических расстояний. Алгоритм использует потенциалы (оценки расстояния до цели) для оптимизации поиска кратчайшего пути.

Этот код интересен тем, что демонстрирует применение алгоритма A* для решения задачи о кратчайшем пути с учётом географических расстояний между узлами.

Ну и сразу приведу

подробное объяснение

Функция geo_dist(graph, u, v) вычисляет географическое расстояние между двумя узлами графа:

coords_1 = (graph.nodes[u]['y'], graph.nodes[u]['x']) - извлекает координаты (широта, долгота) первого узла
coords_2 = (graph.nodes[v]['y'], graph.nodes[v]['x']) - извлекает координаты (широта, долгота) второго узла
geopy.distance.distance(coords_1, coords_2).m - вычисляет расстояние между координатами и возвращает результат в метрах

Эта функция используется как эвристическая оценка расстояния между узлами в алгоритме A*.

В общем тут внезапно полный фейл. Пора закругляться, кажется, что лучше не будет, пробуем самый последний алгоритм

Алгоритм ALT

def alt(graph: Dict[int, Dict[int, float]],
        source: int,
        target: int,
        landmark_distances,
        stats: Counter=None):
    rev_graph = reversed_graph(graph)
    distances_f = {source: 0}
    prev_f = dict()
    distances_b = {target: 0}
    prev_b = dict()
    scanned_f = set()
    scanned_b = set()
    
    labelled_f = {source}
    labelled_b = {target}

    best = float("inf")
    best_f = source
    best_b = target

    u = source
    v = target
    potentials = dict()
    
    while len(labelled_f) > 0 or len(labelled_b):
        if distances_f[u] < distances_b[v]:
            if u in scanned_b:
                break
            labelled_f.remove(u)
            scan(graph, u, distances_f, prev_f, labelled_f, stats)
            for p, l in graph[u].items():
                if p in distances_b and distances_f[u] + distances_b[p] + l < best:
                    best_f = u
                    best_b = p
                    best =  distances_f[u] + distances_b[p] + l
            scanned_f.add(u)
            for x in labelled_f:
                if x not in potentials:
                    potential_f = 0
                    potential_b = 0
                    for p in landmark_distances:
                        potential_f = max(potential_f, landmark_distances[p][target] - landmark_distances[p][x])
                        potential_b = max(potential_b, landmark_distances[p][x] - landmark_distances[p][source])                  
                    potentials[x] = 0.5 * (potential_f - potential_b)
                        
            u = min(labelled_f, key=lambda x: distances_f[x] + potentials[x])
        else:
            if v in scanned_f:
                break
            labelled_b.remove(v)
            scan(rev_graph, v, distances_b, prev_b, labelled_b, stats)
            for p, l in rev_graph[v].items():
                if p in distances_f and distances_b[v] + distances_f[p] + l < best:
                    best_f = p
                    best_b = v
                    best =  distances_b[v] + distances_f[p] + l
            scanned_b.add(v)
            for x in labelled_b:
                if x not in potentials:
                    potential_f = 0
                    potential_b = 0
                    for p in landmark_distances:
                        potential_f = max(potential_f, landmark_distances[p][target] - landmark_distances[p][x])
                        potential_b = max(potential_b, landmark_distances[p][x] - landmark_distances[p][source])                  
                    potentials[x] = 0.5 * (potential_f - potential_b)
            v = min(labelled_b, key=lambda x: distances_b[x] - potentials[x])

    best_path = [best_f]
    cur = best_f
    while cur != source:
        cur = prev_f[cur]
        best_path.append(cur)
    best_path = list(reversed(best_path))

    cur = best_b
    if cur != best_path[-1]:
        best_path.append(cur)
    while cur != target:
        cur = prev_b[cur]
        best_path.append(cur)
    
    return distances_f, distances_b, best_path, best

Объяснение SourceCraft

Функция alt реализует алгоритм поиска кратчайшего пути в графе. Она принимает на вход граф, представленный в виде словаря, исходную и целевую вершины, а также дополнительные параметры.

Алгоритм использует двунаправленный подход: он одновременно ищет пути от исходной вершины к целевой и от целевой вершины к исходной. Это позволяет ускорить поиск кратчайшего пути.

В процессе работы алгоритм строит два дерева: одно для путей от исходной вершины, другое — для путей от целевой вершины. Он также использует потенциалы для оптимизации поиска. Потенциалы представляют собой оценки минимального расстояния от вершины до целевой вершины.

Когда алгоритм находит вершину, которая присутствует в обоих деревьях, он останавливается и возвращает кратчайший путь между исходной и целевой вершинами.

Опять фейл, никакой конкретной инфы о конкретно об алгоритме ALT, действительно каркас про двунаправленность и про то, что ищем кратчайшие пути -- верно, но по содержательной части пусто. Смотрим на подробности

Подробное объяснение SourceCraft

Инициализация структур данных

rev_graph = reversed_graph(graph)

Создаётся обратный граф, где направления всех рёбер изменены на противоположные. Это нужно для обратного поиска от target к source.

distances_f = {source: 0}
prev_f = dict()
distances_b = {target: 0}
prev_b = dict()
scanned_f = set()
scanned_b = set()
labelled_f = {source}
labelled_b = {target}

distances_f и distances_b — словари текущих минимальных расстояний от source и до target соответственно.
prev_f и prev_b — словари предшественников для восстановления пути.
scanned_f и scanned_b — множества вершин, которые уже полностью обработаны.
labelled_f и labelled_b — множества вершин, до которых найдены пути, но ещё не обработаны.

best = float("inf")
best_f = source
best_b = target

Инициализация переменных для отслеживания лучшего пути: best — текущая минимальная длина пути, best_f и best_b — вершины, соединяющие прямой и обратный пути.

u = source
v = target
potentials = dict()

u и v — текущие вершины для обработки в прямом и обратном поиске. potentials — словарь потенциалов для вершин.

Основной цикл поиска

while len(labelled_f) > 0 or len(labelled_b):

Цикл продолжается, пока есть непросканированные вершины в любом из направлений.

Прямой шаг (если distances_f[u] < distances_b[v])

if u in scanned_b:
    break

Если текущая вершина u уже просканирована в обратном направлении, путь найден, и цикл прерывается.

labelled_f.remove(u)
scan(graph, u, distances_f, prev_f, labelled_f, stats)

Вершина u удаляется из множества непросканированных и обрабатывается функцией scan, которая обновляет расстояния до соседей.

for p, l in graph[u].items():
    if p in distances_b and distances_f[u] + distances_b[p] + l < best:
        best_f = u
        best_b = p
        best =  distances_f[u] + distances_b[p] + l

Проверяются соседи u. Если для соседа p уже известно расстояние в обратном направлении, вычисляется возможная длина пути через u и p. Если она меньше текущей лучшей, обновляются best_f, best_b и best.

scanned_f.add(u)

Вершина u помечается как полностью обработанная.

for x in labelled_f:
    if x not in potentials:
        potential_f = 0
        potential_b = 0
        for p in landmark_distances:
            potential_f = max(potential_f, landmark_distances[p][target] - landmark_distances[p][x])
            potential_b = max(potential_b, landmark_distances[p][x] - landmark_distances[p][source])                  
        potentials[x] = 0.5 * (potential_f - potential_b)

Для всех непросканированных вершин вычисляются потенциалы, если они ещё не вычислены. Потенциал используется для оценки расстояния от вершины до цели с учётом ориентиров.

u = min(labelled_f, key=lambda x: distances_f[x] + potentials[x])

Выбирается следующая вершина для обработки с минимальной оценкой distances_f[x] + potentials[x].

Обратный шаг (если distances_b[v] <= distances_f[u])

Аналогично прямому шагу, но с использованием обратного графа и вычислением потенциалов с противоположным знаком.

Построение итогового пути

best_path = [best_f]
cur = best_f
while cur != source:
    cur = prev_f[cur]
    best_path.append(cur)
best_path = list(reversed(best_path))

Строится путь от source до best_f с использованием словаря prev_f.

cur = best_b
if cur != best_path[-1]:
    best_path.append(cur)
while cur != target:
    cur = prev_b[cur]
    best_path.append(cur)

К пути добавляется путь от best_b до target с использованием словаря prev_b.

return distances_f, distances_b, best_path, best

Функция возвращает:

distances_f: расстояния от source до всех вершин.
distances_b: расстояния от всех вершин до target.
best_path: кратчайший путь от source до target.
best: длина кратчайшего пути.

Уже не такой фейл, но всё еще. Дело в том, что нет описания именно особенности ALT. Указанное описание подходит для двунаправленного A*, но вот что такого особенного происходит в ALT, а именно как вычисляются нижние оценки расстояний не указано, а в этом самая суть.

Итог

Я явно ожидал меньшего, но всё же видны очевидные границы применимости. В целом это определённо очень хороший инструмент. Но всё-таки как и отметили хабровчане то как это было внедрено оставляет вопросы. Раньше в рекомендациях авторам был пункт про рекламу своих каналов/блогов, что хорошим тоном является сделать ссылку в самом конце -- кому действительно интересно дочитает и подпишется, всё остальное обычно воспринимается в штыки, с чем я полностью согласен. И вот большая неубираемая красная кнопка с логотипом у каждого сниппета также навязчиво воспринимается, в общем пожалуйста сделайте с этим чот-нибудь! Ну и следуя рекомендации

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7 дек. 2025 г.

11.11.25 15:36 peggy09

Crypto theft surges, with billions lost yearly. DIY fixes flop due to tech and legal walls. Standard reports gather dust without pros. Anthony Davies changes that. As the best funds recovery expert, his tracing, partnerships, and methods reclaim hacked wallet assets. He maximizes your shot at getting back stolen cryptocurrency. If you've been hit, reach out to Anthony Davies today. Every minute counts in this fight. Start your recovery journey now—don't let thieves win.Crypto theft surges, with billions lost yearly. DIY fixes flop due to tech and legal walls. Standard reports gather dust without pros. Anthony Davies changes that. As the best funds recovery expert, his tracing, partnerships, and methods reclaim hacked wallet assets. He maximizes your shot at getting back stolen cryptocurrency. If you've been hit, reach out to Anthony Davies today. Every minute counts in this fight. Start your recovery journey now—don't let thieves win. reach him at anthonydaviestech@gmail dot com or telegram anthonydavies
11.11.25 19:28 elizabethrush89

God bless Capital Crypto Recover Services for the marvelous work you did in my life, I have learned the hard way that even the most sensible investors can fall victim to scams. When my USD was stolen, for anyone who has fallen victim to one of the bitcoin binary investment scams that are currently ongoing, I felt betrayal and upset. But then I was reading a post on site when I saw a testimony of Wendy Taylor online who recommended that Capital Crypto Recovery has helped her recover scammed funds within 24 hours. after reaching out to this cyber security firm that was able to help me recover my stolen digital assets and bitcoin. I’m genuinely blown away by their amazing service and professionalism. I never imagined I’d be able to get my money back until I complained to Capital Crypto Recovery Services about my difficulties and gave all of the necessary paperwork. I was astounded that it took them 12 hours to reclaim my stolen money back. Without a doubt, my USDT assets were successfully recovered from the scam platform, Thank you so much Sir, I strongly recommend Capital Crypto Recover for any of your bitcoin recovery, digital funds recovery, hacking, and cybersecurity concerns. You reach them Call/Text Number +1 (336)390-6684 His Email: [email protected] Contact Telegram: @Capitalcryptorecover Via Contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1
11.11.25 19:29 elizabethrush89

God bless Capital Crypto Recover Services for the marvelous work you did in my life, I have learned the hard way that even the most sensible investors can fall victim to scams. When my USD was stolen, for anyone who has fallen victim to one of the bitcoin binary investment scams that are currently ongoing, I felt betrayal and upset. But then I was reading a post on site when I saw a testimony of Wendy Taylor online who recommended that Capital Crypto Recovery has helped her recover scammed funds within 24 hours. after reaching out to this cyber security firm that was able to help me recover my stolen digital assets and bitcoin. I’m genuinely blown away by their amazing service and professionalism. I never imagined I’d be able to get my money back until I complained to Capital Crypto Recovery Services about my difficulties and gave all of the necessary paperwork. I was astounded that it took them 12 hours to reclaim my stolen money back. Without a doubt, my USDT assets were successfully recovered from the scam platform, Thank you so much Sir, I strongly recommend Capital Crypto Recover for any of your bitcoin recovery, digital funds recovery, hacking, and cybersecurity concerns. You reach them Call/Text Number +1 (336)390-6684 His Email: [email protected] Contact Telegram: @Capitalcryptorecover Via Contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1
12.11.25 04:09 [email protected]

A scam cost me $72,000 in USDT. It shook me up. USDT is a stablecoin linked to the dollar. Its value stays even. I believed I found a safe path to build my wealth. At the start, all seemed fine. My account grew to $120,000 in profits. But when I tried to withdraw, the site locked me out. No way to get in. No money left. Fear took over. I felt stuck and alone. These frauds hit crypto investors often. They lure with fast riches. Then they steal your cash and disappear. Billions vanish each year from such schemes. I looked for aid in every spot. Online boards. Help chats. None helped. Then a buddy offered support. He had dealt with the same issue once. He mentioned Sylvester Bryant. My friend praised his expertise. I contacted him at once. His email is [email protected]. Sylvester Bryant changed everything. He heard my tale with no blame. His crew jumped in quickly. They checked all scam details first. One by one, they followed my lost USDT trail. They used software to track the blockchain. That is the open log of coin transfers. It reveals fund paths. Scammers try to cover their steps. Bryant's team went far. They reached out to related platforms and services. Each day brought progress. No easy ways. They shared updates with me always. Each message and talk stayed open and true. Finally, they got back every dollar. My $52,000 returned whole. The effort needed drive and resolve. Bryant's fairness shone through. He added no secret costs. Only fair pay for the job. My worry faded. I relaxed once more. Nights grew calm. My faith in recovery grew strong. If fraud stole your funds, move fast. Contact Sylvester Bryant. He treats such cases with skill. Email at [email protected]. Or use WhatsApp at +1 512 577 7957 or +44 7428 662701. Do not delay. Reclaim what is yours.
12.11.25 04:10 [email protected]

A scam cost me $72,000 in USDT. It shook me up. USDT is a stablecoin linked to the dollar. Its value stays even. I believed I found a safe path to build my wealth. At the start, all seemed fine. My account grew to $120,000 in profits. But when I tried to withdraw, the site locked me out. No way to get in. No money left. Fear took over. I felt stuck and alone. These frauds hit crypto investors often. They lure with fast riches. Then they steal your cash and disappear. Billions vanish each year from such schemes. I looked for aid in every spot. Online boards. Help chats. None helped. Then a buddy offered support. He had dealt with the same issue once. He mentioned Sylvester Bryant. My friend praised his expertise. I contacted him at once. His email is [email protected]. Sylvester Bryant changed everything. He heard my tale with no blame. His crew jumped in quickly. They checked all scam details first. One by one, they followed my lost USDT trail. They used software to track the blockchain. That is the open log of coin transfers. It reveals fund paths. Scammers try to cover their steps. Bryant's team went far. They reached out to related platforms and services. Each day brought progress. No easy ways. They shared updates with me always. Each message and talk stayed open and true. Finally, they got back every dollar. My $52,000 returned whole. The effort needed drive and resolve. Bryant's fairness shone through. He added no secret costs. Only fair pay for the job. My worry faded. I relaxed once more. Nights grew calm. My faith in recovery grew strong. If fraud stole your funds, move fast. Contact Sylvester Bryant. He treats such cases with skill. Email at [email protected]. Or use WhatsApp at +1 512 577 7957 or +44 7428 662701. Do not delay. Reclaim what is yours.
12.11.25 05:07 peggy09

Anthony Davies stands out in the world of crypto recovery. His skills come from years of hands-on work with blockchain tech. He helps people get back what thieves took, often against tough odds. i once lost $200000 to a fake broker site, anthony stood out as the only person who was able to get back my funds. you can contact him by sending an email to; anthonydaviestech @ gma1l com
12.11.25 09:37 patricialovick86

How To Recover Your Bitcoin Without Falling Victim To Scams: A Testimony Experience With Capital Crypto Recover Services, Contact Telegram: @Capitalcryptorecover Dear Everyone, I would like to take a moment to share my positive experience with Capital Crypto Recover Services. Initially, I was unsure if it would be possible to recover my stolen bitcoins. However, with their expertise and professionalism, I was able to fully recover my funds. Unfortunately, many individuals fall victim to scams in the cryptocurrency space, especially those involving fraudulent investment platforms. However, I advise caution, as not all recovery services are legitimate. I personally lost $273,000 worth of Bitcoin from my Binance account due to a deceptive platform. If you have suffered a similar loss, you may be considering crypto recovery, The Capital Crypto Recover is the most knowledgeable and effective Capital Crypto Recovery Services assisted me in recovering my stolen funds within 24 hours, after getting access to my wallet. Their service was not only prompt but also highly professional and effective, and many recovery services may not be trustworthy. Therefore, I highly recommend Capital Crypto Recover to you. i do always research and see reviews about their service, For assistance finding your misplaced cryptocurrency, get in touch with them, They do their jobs quickly and excellently, Stay safe and vigilant in the crypto world. Contact: [email protected] You can reach them via email at [email protected] OR Call/Text Number +1 (336)390-6684 his contact website: https://recovercapital.wixsite.com/capital-crypto-rec-1
12.11.25 09:37 patricialovick86

How To Recover Your Bitcoin Without Falling Victim To Scams: A Testimony Experience With Capital Crypto Recover Services, Contact Telegram: @Capitalcryptorecover Dear Everyone, I would like to take a moment to share my positive experience with Capital Crypto Recover Services. Initially, I was unsure if it would be possible to recover my stolen bitcoins. However, with their expertise and professionalism, I was able to fully recover my funds. Unfortunately, many individuals fall victim to scams in the cryptocurrency space, especially those involving fraudulent investment platforms. However, I advise caution, as not all recovery services are legitimate. I personally lost $273,000 worth of Bitcoin from my Binance account due to a deceptive platform. If you have suffered a similar loss, you may be considering crypto recovery, The Capital Crypto Recover is the most knowledgeable and effective Capital Crypto Recovery Services assisted me in recovering my stolen funds within 24 hours, after getting access to my wallet. Their service was not only prompt but also highly professional and effective, and many recovery services may not be trustworthy. Therefore, I highly recommend Capital Crypto Recover to you. i do always research and see reviews about their service, For assistance finding your misplaced cryptocurrency, get in touch with them, They do their jobs quickly and excellently, Stay safe and vigilant in the crypto world. Contact: [email protected] You can reach them via email at [email protected] OR Call/Text Number +1 (336)390-6684 his contact website: https://recovercapital.wixsite.com/capital-crypto-rec-1
13.11.25 19:01 peggy09

i Lost $200,000 to a phishing scam in 2022. Funds went to a mixer service. Davies traced 70% through Ethereum layers. He teamed with an exchange to freeze the rest. i got $140,000 back in six months. Hiring Davies means clear steps. You share details. He checks facts. Then, the hunt begins. Expect ups and downs, but his plan keeps it steady. you can reach out to him by sending an email to anthonydaviestech {@} gmail com
13.11.25 20:05 [email protected]

A scam cost me $72,000 in USDT. It shook me up. USDT is a stablecoin linked to the dollar. Its value stays even. I believed I found a safe path to build my wealth. At the start, all seemed fine. My account grew to $120,000 in profits. But when I tried to withdraw, the site locked me out. No way to get in. No money left. Fear took over. I felt stuck and alone. These frauds hit crypto investors often. They lure with fast riches. Then they steal your cash and disappear. Billions vanish each year from such schemes. I looked for aid in every spot. Online boards. Help chats. None helped. Then a buddy offered support. He had dealt with the same issue once. He mentioned Sylvester Bryant. My friend praised his expertise. I contacted him at once. His email is [email protected]. Sylvester Bryant changed everything. He heard my tale with no blame. His crew jumped in quickly. They checked all scam details first. One by one, they followed my lost USDT trail. They used software to track the blockchain. That is the open log of coin transfers. It reveals fund paths. Scammers try to cover their steps. Bryant's team went far. They reached out to related platforms and services. Each day brought progress. No easy ways. They shared updates with me always. Each message and talk stayed open and true. Finally, they got back every dollar. My $52,000 returned whole. The effort needed drive and resolve. Bryant's fairness shone through. He added no secret costs. Only fair pay for the job. My worry faded. I relaxed once more. Nights grew calm. My faith in recovery grew strong. If fraud stole your funds, move fast. Contact Sylvester Bryant. He treats such cases with skill. Email at [email protected]. Or use WhatsApp at +1 512 577 7957 or +44 7428 662701. Do not delay. Reclaim what is yours.
13.11.25 20:05 [email protected]

A scam cost me $72,000 in USDT. It shook me up. USDT is a stablecoin linked to the dollar. Its value stays even. I believed I found a safe path to build my wealth. At the start, all seemed fine. My account grew to $120,000 in profits. But when I tried to withdraw, the site locked me out. No way to get in. No money left. Fear took over. I felt stuck and alone. These frauds hit crypto investors often. They lure with fast riches. Then they steal your cash and disappear. Billions vanish each year from such schemes. I looked for aid in every spot. Online boards. Help chats. None helped. Then a buddy offered support. He had dealt with the same issue once. He mentioned Sylvester Bryant. My friend praised his expertise. I contacted him at once. His email is [email protected]. Sylvester Bryant changed everything. He heard my tale with no blame. His crew jumped in quickly. They checked all scam details first. One by one, they followed my lost USDT trail. They used software to track the blockchain. That is the open log of coin transfers. It reveals fund paths. Scammers try to cover their steps. Bryant's team went far. They reached out to related platforms and services. Each day brought progress. No easy ways. They shared updates with me always. Each message and talk stayed open and true. Finally, they got back every dollar. My $52,000 returned whole. The effort needed drive and resolve. Bryant's fairness shone through. He added no secret costs. Only fair pay for the job. My worry faded. I relaxed once more. Nights grew calm. My faith in recovery grew strong. If fraud stole your funds, move fast. Contact Sylvester Bryant. He treats such cases with skill. Email at [email protected]. Or use WhatsApp at +1 512 577 7957 or +44 7428 662701. Do not delay. Reclaim what is yours.
13.11.25 22:51 ashley11

Recover All Lost Cryptocurrency From Scammers
13.11.25 22:52 ashley11

Recover All Lost Cryptocurrency From Scammers TREQORA INTEL has exhibited unparalleled strength in the realm of recovery. They stand out as the premier team to collaborate with if you encounter withdrawal difficulties from the platform where you’ve invested. Recently, I engaged with them to recover over a million dollars trapped in an investment platform I’d been involved with for months. I furnished their team with every detail of the investment via Email (SUPPORT @ TREQORA . C O M”), including accounts, names, and wallet addresses to which I sent the funds. This decision proved to be the best I’ve made, especially after realizing I had been sc**med by the company. Initially, I harbored doubts about their services, but I was proven wrong. TREQORA INTEL ensures exemplary service delivery and ensures the perpetrators face justice. They employ advanced techniques to ensure you regain access to your funds. Understandably, many individuals who have fallen victim to investment scams may still harbor trepidation about engaging in online services again due to the trauma of being sc**med. However, I implore you to take action. Seek assistance from TREQORA INTEL today and witness their remarkable capabilities firsthand. Among the myriad of hackers available, TREQORA INTEL stands head and shoulders above the rest. While I may not have sampled all of them, the few I attempted to work with previously were unhelpful and solely focused on depleting the little funds I had left. I am grateful that I resisted their enticements, and despite the time it took me to discover TREQORA INTEL, they ultimately fulfilled my primary objective. I am confident they will execute the task proficiently. Without their intervention, I would have remained despondent and perplexed indefinitely. Don’t make the error of entrusting sc**mers to rectify a sc*m; the consequences are evident. Email:support@treqora. com,WhatsApp: ‪‪‪‪‪‪+1 (7 7 3) 9 7 7 - 7 8 7 7‬‬‬‬ ‬‬,Website: Treqora. com. How Can I Recover My Lost Bitcoin From A Romance Scammer-HIRE TREQORA INTEL
13.11.25 23:36 daisy

i Lost $200,000 to a phishing scam in 2022. Funds went to a mixer service. Davies traced 70% through Ethereum layers. He teamed with an exchange to freeze the rest. i got $140,000 back in six months. Hiring Davies means clear steps. You share details. He checks facts. Then, the hunt begins. Expect ups and downs, but his plan keeps it steady. you can reach out to him by sending an email to anthonydaviestech {@} gmail com
14.11.25 03:42 harristhomas7376

"In the crypto world, this is great news I want to share. Last year, I fell victim to a scam disguised as a safe investment option. I have invested in crypto trading platforms for about 10yrs thinking I was ensuring myself a retirement income, only to find that all my assets were either frozen, I believed my assets were secure — until I discovered that my BTC funds had been frozen and withdrawals were impossible. It was a devastating moment when I realized I had been scammed, and I thought my Bitcoin was gone forever, Everything changed when a close friend recommended the Capital Crypto Recover Service. Their professionalism, expertise, and dedication enabled me to recover my lost Bitcoin funds back — more than €560.000 DEM to my BTC wallet. What once felt impossible became a reality thanks to their support. If you have lost Bitcoin through scams, hacking, failed withdrawals, or similar challenges, don’t lose hope. I strongly recommend Capital Crypto Recover Service to anyone seeking a reliable and effective solution for recovering any wallet assets. They have a proven track record of successful reputation in recovering lost password assets for their clients and can help you navigate the process of recovering your funds. Don’t let scammers get away with your hard-earned money – contact Email: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Contact: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1
14.11.25 03:42 harristhomas7376

"In the crypto world, this is great news I want to share. Last year, I fell victim to a scam disguised as a safe investment option. I have invested in crypto trading platforms for about 10yrs thinking I was ensuring myself a retirement income, only to find that all my assets were either frozen, I believed my assets were secure — until I discovered that my BTC funds had been frozen and withdrawals were impossible. It was a devastating moment when I realized I had been scammed, and I thought my Bitcoin was gone forever, Everything changed when a close friend recommended the Capital Crypto Recover Service. Their professionalism, expertise, and dedication enabled me to recover my lost Bitcoin funds back — more than €560.000 DEM to my BTC wallet. What once felt impossible became a reality thanks to their support. If you have lost Bitcoin through scams, hacking, failed withdrawals, or similar challenges, don’t lose hope. I strongly recommend Capital Crypto Recover Service to anyone seeking a reliable and effective solution for recovering any wallet assets. They have a proven track record of successful reputation in recovering lost password assets for their clients and can help you navigate the process of recovering your funds. Don’t let scammers get away with your hard-earned money – contact Email: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Contact: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1
14.11.25 08:38 [email protected]

A scam cost me $72,000 in USDT. It shook me up. USDT is a stablecoin linked to the dollar. Its value stays even. I believed I found a safe path to build my wealth. At the start, all seemed fine. My account grew to $120,000 in profits. But when I tried to withdraw, the site locked me out. No way to get in. No money left. Fear took over. I felt stuck and alone. These frauds hit crypto investors often. They lure with fast riches. Then they steal your cash and disappear. Billions vanish each year from such schemes. I looked for aid in every spot. Online boards. Help chats. None helped. Then a buddy offered support. He had dealt with the same issue once. He mentioned Sylvester Bryant. My friend praised his expertise. I contacted him at once. His email is [email protected]. Sylvester Bryant changed everything. He heard my tale with no blame. His crew jumped in quickly. They checked all scam details first. One by one, they followed my lost USDT trail. They used software to track the blockchain. That is the open log of coin transfers. It reveals fund paths. Scammers try to cover their steps. Bryant's team went far. They reached out to related platforms and services. Each day brought progress. No easy ways. They shared updates with me always. Each message and talk stayed open and true. Finally, they got back every dollar. My $52,000 returned whole. The effort needed drive and resolve. Bryant's fairness shone through. He added no secret costs. Only fair pay for the job. My worry faded. I relaxed once more. Nights grew calm. My faith in recovery grew strong. If fraud stole your funds, move fast. Contact Sylvester Bryant. He treats such cases with skill. Email at [email protected]. Or use WhatsApp at +1 512 577 7957 or +44 7428 662701. Do not delay. Reclaim what is yours.
14.11.25 10:39 MATT PHILLIP

I never imagined I’d fall for a crypto romance scam but it happened. Over the course of a few months, I sent nearly $184,000 worth of Bitcoin to someone I genuinely believed I was building a future with. When they disappeared without a trace, I was left heartbroken, humiliated, and financially devastated. For a long time, I didn’t tell anyone. I felt ashamed. But eventually, while searching for answers, I came across a Reddit thread that mentioned Agent Jasmine Lopez a crypto recovery agent. I reached out, not expecting much. To my surprise, she treated me with kindness, not judgment. She used advanced tools like blockchain forensics, IP tracing, and smart contract analysis and with persistence and legal support, she was able to recover nearly 85% of what I lost. I know not everyone gets that kind of outcome, but thanks to [email protected] WhatsApp at +44 736-644-5035, I’ve started to reclaim not just my assets, but my confidence and peace of mind. If you’re going through something similar, you’re not alone and there is hope.
14.11.25 12:12 daisy

i Lost $200,000 to a phishing scam in 2022. Funds went to a mixer service. Davies traced 70% through Ethereum layers. He teamed with an exchange to freeze the rest. i got $140,000 back in six months. Hiring Davies means clear steps. You share details. He checks facts. Then, the hunt begins. Expect ups and downs, but his plan keeps it steady. you can reach out to him by sending an email to anthonydaviestech {@} gmail com
14.11.25 15:07 caridad

Perth Family Saved After $400K Crypto Scam Our family in Perth, WA invested through what we thought was a trusted platform but ended up being a fraudulent investment scheme. We lost nearly AUD 420,000 worth of BTC and USDT. Luckily, a friend recommended Bitreclaim.com. Their 24/7 customer support assigned us a smart contract audit specialist who asked for wallet addresses and transaction hashes. With their forensic blockchain trace, they recovered over 5.1 BTC directly into our hardware wallet. For Perth investors: don’t give up hope. Submit a case at Bitreclaim.com immediately. Their professionalism and success rate in Australia is unmatched.
14.11.25 18:33 justinekelly45

FAST & RELIABLE CRYPTO RECOVERY SERVICES Hire iFORCE HACKER RECOVERY I was one of many victims deceived by fake cryptocurrency investment offers on Telegram. Hoping to build a retirement fund, I invested heavily and ended up losing about $470,000, including borrowed money. Just when I thought recovery was impossible, I found iForce Hacker Recovery. Their team of crypto recovery experts worked tirelessly and helped me recover my assets within 72 hours, even tracing the scammers involved. I’m deeply thankful for their professionalism and highly recommend their services to anyone facing a similar situation. Website: ht tps://iforcehackers. co m WhatsApp: +1 240-803-3706 Email: iforcehk @ consultant. c om
14.11.25 20:56 juliamarvin

Firstly, the importance of verifying the authenticity of online communications, especially those about financial matters. Secondly, the potential for recovery exists even in cases where it seems hopeless, thanks to innovative services like TechY Force Cyber Retrieval. Lastly, the cryptocurrency community needs to be more aware of these risks and the available solutions to combat them. My experience serves as a warning to others to be cautious of online impersonators and never to underestimate the potential for recovery in the face of theft. It also highlights the critical role that professional retrieval services can play in securing your digital assets. In conclusion, while the cryptocurrency space offers unparalleled opportunities, it also presents unique challenges, and being informed and vigilant is key to navigating this landscape safely. W.h.a.t.s.A.p.p.. +.15.6.1.7.2.6.3.6.9.7. M.a.i.l T.e.c.h.y.f.o.r.c.e.c.y.b.e.r.r.e.t.r.i.e.v.a.l.@.c.o.n.s.u.l.t.a.n.t.c.o.m. T.e.l.e.g.r.a.m +.15.6.1.7.2.6.3.6.9.7
15.11.25 12:47 MATT PHILLIP

I never imagined I’d fall for a crypto romance scam but it happened. Over the course of a few months, I sent nearly $184,000 worth of Bitcoin to someone I genuinely believed I was building a future with. When they disappeared without a trace, I was left heartbroken, humiliated, and financially devastated. For a long time, I didn’t tell anyone. I felt ashamed. But eventually, while searching for answers, I came across a Reddit thread that mentioned Agent Jasmine Lopez a crypto recovery agent. I reached out, not expecting much. To my surprise, she treated me with kindness, not judgment. She used advanced tools like blockchain forensics, IP tracing, and smart contract analysis and with persistence and legal support, she was able to recover nearly 85% of what I lost. I know not everyone gets that kind of outcome, but thanks to [email protected] WhatsApp at +44 736-644-5035, I’ve started to reclaim not just my assets, but my confidence and peace of mind. If you’re going through something similar, you’re not alone and there is hope.
15.11.25 14:39 wendytaylor015

My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1
15.11.25 14:39 wendytaylor015

My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1
15.11.25 15:31 MATT PHILLIP

I never imagined I’d fall for a crypto romance scam but it happened. Over the course of a few months, I sent nearly $184,000 worth of Bitcoin to someone I genuinely believed I was building a future with. When they disappeared without a trace, I was left heartbroken, humiliated, and financially devastated. For a long time, I didn’t tell anyone. I felt ashamed. But eventually, while searching for answers, I came across a Reddit thread that mentioned Agent Jasmine Lopez a crypto recovery agent. I reached out, not expecting much. To my surprise, she treated me with kindness, not judgment. She used advanced tools like blockchain forensics, IP tracing, and smart contract analysis and with persistence and legal support, she was able to recover nearly 85% of what I lost. I know not everyone gets that kind of outcome, but thanks to [email protected] WhatsApp at +44 736-644-5035, I’ve started to reclaim not just my assets, but my confidence and peace of mind. If you’re going through something similar, you’re not alone and there is hope.
15.11.25 15:52 [email protected]

A scam cost me $72,000 in USDT. It shook me up. USDT is a stablecoin linked to the dollar. Its value stays even. I believed I found a safe path to build my wealth. At the start, all seemed fine. My account grew to $120,000 in profits. But when I tried to withdraw, the site locked me out. No way to get in. No money left. Fear took over. I felt stuck and alone. These frauds hit crypto investors often. They lure with fast riches. Then they steal your cash and disappear. Billions vanish each year from such schemes. I looked for aid in every spot. Online boards. Help chats. None helped. Then a buddy offered support. He had dealt with the same issue once. He mentioned Sylvester Bryant. My friend praised his expertise. I contacted him at once. His email is [email protected]. Sylvester Bryant changed everything. He heard my tale with no blame. His crew jumped in quickly. They checked all scam details first. One by one, they followed my lost USDT trail. They used software to track the blockchain. That is the open log of coin transfers. It reveals fund paths. Scammers try to cover their steps. Bryant's team went far. They reached out to related platforms and services. Each day brought progress. No easy ways. They shared updates with me always. Each message and talk stayed open and true. Finally, they got back every dollar. My $52,000 returned whole. The effort needed drive and resolve. Bryant's fairness shone through. He added no secret costs. Only fair pay for the job. My worry faded. I relaxed once more. Nights grew calm. My faith in recovery grew strong. If fraud stole your funds, move fast. Contact Sylvester Bryant. He treats such cases with skill. Email at [email protected]. Or use WhatsApp at +1 512 577 7957 or +44 7428 662701. Do not delay. Reclaim what is yours.
16.11.25 14:43 wendytaylor015

My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1
16.11.25 14:44 wendytaylor015

My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1
16.11.25 20:38 [email protected]

A scam cost me $72,000 in USDT. It shook me up. USDT is a stablecoin linked to the dollar. Its value stays even. I believed I found a safe path to build my wealth. At the start, all seemed fine. My account grew to $120,000 in profits. But when I tried to withdraw, the site locked me out. No way to get in. No money left. Fear took over. I felt stuck and alone. These frauds hit crypto investors often. They lure with fast riches. Then they steal your cash and disappear. Billions vanish each year from such schemes. I looked for aid in every spot. Online boards. Help chats. None helped. Then a buddy offered support. He had dealt with the same issue once. He mentioned Sylvester Bryant. My friend praised his expertise. I contacted him at once. His email is [email protected]. Sylvester Bryant changed everything. He heard my tale with no blame. His crew jumped in quickly. They checked all scam details first. One by one, they followed my lost USDT trail. They used software to track the blockchain. That is the open log of coin transfers. It reveals fund paths. Scammers try to cover their steps. Bryant's team went far. They reached out to related platforms and services. Each day brought progress. No easy ways. They shared updates with me always. Each message and talk stayed open and true. Finally, they got back every dollar. My $52,000 returned whole. The effort needed drive and resolve. Bryant's fairness shone through. He added no secret costs. Only fair pay for the job. My worry faded. I relaxed once more. Nights grew calm. My faith in recovery grew strong. If fraud stole your funds, move fast. Contact Sylvester Bryant. He treats such cases with skill. Email at [email protected]. Or use WhatsApp at +1 512 577 7957 or +44 7428 662701. Do not delay. Reclaim what is yours.
17.11.25 03:24 johnny231

INFO@THEBARRYCYBERINVESTIGATIONSDOTCOM is one of the best cyber hackers that i have actually met and had an encounter with, i was suspecting my partner was cheating on me for some time now but i was not sure of my assumptions so i had to contact BARRY CYBER INVESTIGATIONS to help me out with my suspicion. During the cause of their investigation they intercepted his text messages, social media(facebook, twittwer, snapchat whatsapp, instagram),also call logs as well as pictures and videos(deleted files also) they found out my spouse was cheating on me for over 3 years and was already even sending nudes out as well as money to anonymous wallets,so i deciced to file for a divorce and then when i did that i came to the understanding that most of the cryptocurrency we had invested in forex by him was already gone. BARRY CYBER INVESTIGATIONS helped me out through out the cause of my divorce with my spouse they also helped me in retrieving some of the cryptocurrency back, as if that was not enough i decided to introduce them to another of my friend who had lost her most of her savings on a bad crytpo investment and as a result of that it affected her credit score, BARRY CYBER INVESTIGATIONS helped her recover some of the funds back and helped her build her credit score, i have never seen anything like this in my life and to top it off they are very professional and they have intergrity to it you can contact them also on their whatsapp +1814-488-3301. for any hacking or pi jobs you can contact them and i assure you nothing but the best out of the job
17.11.25 11:26 wendytaylor015

My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1
17.11.25 11:27 wendytaylor015

My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1
19.11.25 01:56 VERONICAFREDDIE809

Earlier this year, I made a mistake that changed everything. I downloaded what I thought was a legitimate trading app I’d found through a Telegram channel. At first, everything looked real until I tried to withdraw. My entire investment vanished into a bot account, and that’s when the truth hit me: I had been scammed. I can’t describe the feeling. It was as if the ground dropped out from under me. I blamed myself. I felt stupid, ashamed, helpless every painful emotion at once. For a while, I couldn’t even talk about it. I thought no one would understand. But then I got connected to the best female expert AGENT Jasmine Lopez,,( [email protected] ) ,She didn’t brush me off or judge me. She took my fear seriously. She followed leads I didn’t even know existed, and identified multiple off-chain indicators and wallet clusters linked to the scammer network, she helped me understand what had truly happened behind the scenes. For the first time since everything fell apart, I felt hope. Hearing that other people students, parents, hardworking people had been targeted the same way made me realize I wasn’t alone. What happened to us wasn’t stupidity. It was a coordinated attack. We were prey in a system built to deceive. And somehow, through all the chaos, Agent Jasmine stepped in and shined a light into the darkest moment of my life. I’m still healing from the experience. It changed me. But it also reminded me that even when you think you’re at the end, sometimes a lifeline appears where you least expect it. Contact her at [email protected] WhatsApp at +44 736-644-5035.
19.11.25 08:11 JuneWatkins

I’m June Watkins from California. I never thought I’d lose my life savings in Bitcoin. One wrong click, a fake wallet update, and $187,000 vanished in seconds. I cried for days, felt stupid, ashamed, and completely hopeless. But God wouldn’t let me stay silent or defeated. A friend sent me a simple message: “Contact Mbcoin Recovery Group, they specialize in this.” I was skeptical (there are so many scammers), but something in my spirit said “try.” I reached out to Mbcoin Recovery Group through their official site and within minutes their team responded with kindness and clarity. They walked with me step by step, and stayed in constant contact. Three days later, I watched in tears as every single Bitcoin returned to my wallet, 100% recovered. God turned my mess into a message and my shame into a testimony! If you’ve lost crypto and feel it’s gone forever, don’t give up. I’m living proof that recovery is possible. Thank you, Mbcoin Recovery Group, and thank You, Jesus, for never leaving me stranded. contact: (https://mbcoinrecoverygrou.wixsite.com/mb-coin-recovery) (Email: [email protected]) (Call Number: +1 346 954-1564)
19.11.25 08:26 elizabethmadison

My name is Elizabeth Madison currently living in New York. There was a time I felt completely broken. I had trusted a fraudulent bitcoin investment organization, who turned out to be a fraudster. I sent money, believing their sweet words and promises on the interest rate I will get back in return, only to realize later that I’ve been scammed. On the day of withdrawal there was no money in my account. The pain hit deep. I couldn’t sleep, I kept asking myself how I could have been so careless, meanwhile my mom was battling with a stroke and the expenses were too much. For days, I cried and blamed myself. The betrayal, the disappointment and my mom's health issues all of this stress made me want to give up on life. But one day, I decided that sitting in pain wouldn’t solve anything. I picked myself up and chose to fight for what I lost then I came across GREAT WHIP RECOVERY CYBER SERVICES and saw how he helped people recover their funds from online fraud. I emailed all the transactions and paperwork I had with the fraudulent organization and they helped me recover all my lost money in just five days. If you have ever fallen victim to scammers, contact GREAT WHIP RECOVERY CYBER SERVICES to help you recover every penny you have lost. (Text +1(406)2729101) (Email [email protected])
19.11.25 08:27 elizabethmadison

My name is Elizabeth Madison currently living in New York. There was a time I felt completely broken. I had trusted a fraudulent bitcoin investment organization, who turned out to be a fraudster. I sent money, believing their sweet words and promises on the interest rate I will get back in return, only to realize later that I’ve been scammed. On the day of withdrawal there was no money in my account. The pain hit deep. I couldn’t sleep, I kept asking myself how I could have been so careless, meanwhile my mom was battling with a stroke and the expenses were too much. For days, I cried and blamed myself. The betrayal, the disappointment and my mom's health issues all of this stress made me want to give up on life. But one day, I decided that sitting in pain wouldn’t solve anything. I picked myself up and chose to fight for what I lost then I came across GREAT WHIP RECOVERY CYBER SERVICES and saw how he helped people recover their funds from online fraud. I emailed all the transactions and paperwork I had with the fraudulent organization and they helped me recover all my lost money in just five days. If you have ever fallen victim to scammers, contact GREAT WHIP RECOVERY CYBER SERVICES to help you recover every penny you have lost. (Text +1(406)2729101) Website https://greatwhiprecoveryc.wixsite.com/greatwhip-site (Email [email protected])
19.11.25 16:30 marcushenderson624

Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1
19.11.25 16:30 marcushenderson624

Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1
20.11.25 15:55 mariotuttle94

HIRE THE BEST HACKER ONLINE FOR CRYPTO BITCOIN SCAM RECOVERY / iFORCE HACKER RECOVERY After a security breach, my husband lost $133,000 in Bitcoin. We sought help from a professional cybersecurity team iForce Hacker Recovery they guided us through each step of the recovery process. Their expertise allowed them to trace the compromised funds and help us understand how the breach occurred. The experience brought us clarity, restored a sense of stability, and reminded us of the importance of strong digital asset and security practices. Website: ht tps:/ /iforcehackers. c om WhatsApp: +1 240-803-3706 Email: iforcehk @ consultant. c om
21.11.25 10:56 marcushenderson624

Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1
21.11.25 10:56 marcushenderson624

Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1
22.11.25 04:41 VERONICAFREDDIE809

Earlier this year, I made a mistake that changed everything. I downloaded what I thought was a legitimate trading app I’d found through a Telegram channel. At first, everything looked real until I tried to withdraw. My entire investment vanished into a bot account, and that’s when the truth hit me: I had been scammed. I can’t describe the feeling. It was as if the ground dropped out from under me. I blamed myself. I felt stupid, ashamed, helpless every painful emotion at once. For a while, I couldn’t even talk about it. I thought no one would understand. But then I got connected to the best female expert AGENT Jasmine Lopez,,( [email protected] ) ,She didn’t brush me off or judge me. She took my fear seriously. She followed leads I didn’t even know existed, and identified multiple off-chain indicators and wallet clusters linked to the scammer network, she helped me understand what had truly happened behind the scenes. For the first time since everything fell apart, I felt hope. Hearing that other people students, parents, hardworking people had been targeted the same way made me realize I wasn’t alone. What happened to us wasn’t stupidity. It was a coordinated attack. We were prey in a system built to deceive. And somehow, through all the chaos, Agent Jasmine stepped in and shined a light into the darkest moment of my life. I’m still healing from the experience. It changed me. But it also reminded me that even when you think you’re at the end, sometimes a lifeline appears where you least expect it. Contact her at [email protected] WhatsApp at +44 736-644-5035.
22.11.25 22:04 wendytaylor015

My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1
22.11.25 22:04 wendytaylor015

My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1
22.11.25 22:05 wendytaylor015

My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1
23.11.25 03:34 Matt Kegan

SolidBlock Forensics are absolutely the best Crypto forensics team, they're swift to action and accurate
23.11.25 09:54 elizabethrush89

God bless Capital Crypto Recover Services for the marvelous work you did in my life, I have learned the hard way that even the most sensible investors can fall victim to scams. When my USD was stolen, for anyone who has fallen victim to one of the bitcoin binary investment scams that are currently ongoing, I felt betrayal and upset. But then I was reading a post on site when I saw a testimony of Wendy Taylor online who recommended that Capital Crypto Recovery has helped her recover scammed funds within 24 hours. after reaching out to this cyber security firm that was able to help me recover my stolen digital assets and bitcoin. I’m genuinely blown away by their amazing service and professionalism. I never imagined I’d be able to get my money back until I complained to Capital Crypto Recovery Services about my difficulties and gave all of the necessary paperwork. I was astounded that it took them 12 hours to reclaim my stolen money back. Without a doubt, my USDT assets were successfully recovered from the scam platform, Thank you so much Sir, I strongly recommend Capital Crypto Recover for any of your bitcoin recovery, digital funds recovery, hacking, and cybersecurity concerns. You reach them Call/Text Number +1 (336)390-6684 His Email: [email protected] Contact Telegram: @Capitalcryptorecover Via Contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1
23.11.25 18:01 mosbygerry

I recently had the opportunity to work with a skilled programmer who specialized in recovering crypto assets, and the results were nothing short of impressive. The experience not only helped me regain control of my investments but also provided valuable insight into the intricacies of cryptocurrency technology and cybersecurity. The journey began when I attempted to withdraw $183,000 from an investment firm, only to encounter a series of challenges that made it impossible for me to access my funds. Despite seeking assistance from individuals claiming to be Bitcoin miners, I was unable to recover my investments. The situation was further complicated by the fact that all my deposits were made using various cryptocurrencies that are difficult to trace. However, I persisted in my pursuit of recovery, driven by the determination to reclaim my losses. It was during this time that I discovered TechY Force Cyber Retrieval, a team of experts with a proven track record of successfully recovering crypto assets. With their assistance, I was finally able to recover my investments, and in doing so, gained a deeper understanding of the complex mechanisms that underpin cryptocurrency transactions. The experience taught me that with the right expertise and guidance, even the most seemingly insurmountable challenges can be overcome. I feel a sense of obligation to share my positive experience with others who may have fallen victim to cryptocurrency scams or are struggling to recover their investments. If you find yourself in a similar situation, I highly recommend seeking the assistance of a trustworthy and skilled programmer, such as those at TechY Force Cyber Retrieval. WhatsApp (+1561726 3697) or (+1561726 3697). Their expertise and dedication to helping individuals recover their crypto assets are truly commendable, and I have no hesitation in endorsing their services to anyone in need. By sharing my story, I hope to provide a beacon of hope for those who may have lost faith in their ability to recover their investments and to emphasize the importance of seeking professional help when navigating the complex world of cryptocurrency.
24.11.25 11:43 michaeldavenport238

I was recently scammed out of $53,000 by a fraudulent Bitcoin investment scheme, which added significant stress to my already difficult health issues, as I was also facing cancer surgery expenses. Desperate to recover my funds, I spent hours researching and consulting other victims, which led me to discover the excellent reputation of Capital Crypto Recover, I came across a Google post It was only after spending many hours researching and asking other victims for advice that I discovered Capital Crypto Recovery’s stellar reputation. I decided to contact them because of their successful recovery record and encouraging client testimonials. I had no idea that this would be the pivotal moment in my fight against cryptocurrency theft. Thanks to their expert team, I was able to recover my lost cryptocurrency back. The process was intricate, but Capital Crypto Recovery's commitment to utilizing the latest technology ensured a successful outcome. I highly recommend their services to anyone who has fallen victim to cryptocurrency fraud. For assistance contact [email protected] and on Telegram OR Call Number +1 (336)390-6684 via email: [email protected] you can visit his website: https://recovercapital.wixsite.com/capital-crypto-rec-1
24.11.25 11:43 michaeldavenport238

I was recently scammed out of $53,000 by a fraudulent Bitcoin investment scheme, which added significant stress to my already difficult health issues, as I was also facing cancer surgery expenses. Desperate to recover my funds, I spent hours researching and consulting other victims, which led me to discover the excellent reputation of Capital Crypto Recover, I came across a Google post It was only after spending many hours researching and asking other victims for advice that I discovered Capital Crypto Recovery’s stellar reputation. I decided to contact them because of their successful recovery record and encouraging client testimonials. I had no idea that this would be the pivotal moment in my fight against cryptocurrency theft. Thanks to their expert team, I was able to recover my lost cryptocurrency back. The process was intricate, but Capital Crypto Recovery's commitment to utilizing the latest technology ensured a successful outcome. I highly recommend their services to anyone who has fallen victim to cryptocurrency fraud. For assistance contact [email protected] and on Telegram OR Call Number +1 (336)390-6684 via email: [email protected] you can visit his website: https://recovercapital.wixsite.com/capital-crypto-rec-1
24.11.25 16:34 Mundo

I wired 120k in crypto to the wrong wallet. One dumb slip-up, and poof gone. That hit me hard. Lost everything I had built up. Crypto moves on the blockchain. It's like a public record book. Once you send, that's it. No take-backs. Banks can fix wire mistakes. Not here. Transfers stick forever. a buddy tipped me off right away. Meet Sylvester Bryant. Guy's a pro at pulling back lost crypto. Handles cases others can't touch, he spots scammer moves cold. Follows money down secret paths. Mixers. Fake trades. Hidden swaps. You name it, he tracks it. this happens to tons of folks. Fat-finger a key. Miss one digit in the address. Boom. Billions vanish like that each year. I panicked. Figured my stash was toast for good. Bryant flipped the script. He jumps on hard jobs quick. Digs deep. Cracks the trail. Got my funds back safe. You're in the same boat? Don't sit there. Hit him up today. Email [email protected]. WhatsApp +1 512 577 7957. Or +44 7428 662701. Time's your enemy here. Scammers spend fast. Chains churn non-stop. Move now. Grab your cash back home.
25.11.25 05:15 michaeldavenport218

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25.11.25 13:31 mickaelroques52

CRYPTO TRACING AND INVESTIGATION EXPERT: HOW TO RECOVER STOLEN CRYPTO_HIRE RAPID DIGITAL RECOVERY
25.11.25 13:31 mickaelroques52

I’ve always considered myself a careful person when it comes to money, but even the most cautious people can be fooled. A few months ago, I invested some of my Bitcoin into what I believed was a legitimate platform. Everything seemed right, professional website, live chat support and even convincing testimonials. I thought I had done my homework. But when I tried to withdraw my funds, everything fell apart. My account was blocked, the so-called support team disappeared and I realized I had been scammed. The shock was overwhelming. I couldn’t believe I had fallen for it. That Bitcoin represented years of savings and sacrifices and it felt like everything had been stolen from me in seconds. I didn’t sleep for days and I was angry at myself for trusting the wrong people. In my desperation, I started searching for solutions and came across Rapid Digital Recovery. At first, I thought it was just another promise that would lead nowhere. But after speaking with them, I realized this was different. They were professional, clear and understanding. They explained exactly how they track stolen funds through blockchain forensics and what steps would be taken in my case. I gave them all the transaction details and they immediately got to work. What impressed me most was their transparency, they gave me updates regularly and kept me involved in the process. After weeks of investigation, they achieved what I thought was impossible: they recovered my stolen Bitcoin and safely returned it to my wallet. The relief I felt that day is indescribable. I went from feeling hopeless and broken to feeling like I had been given a second chance. I am forever grateful to Rapid Digital Recovery. They didn’t just recover my money, they restored my peace of mind. If you’re reading this because you’ve been scammed, please know you’re not alone and that recovery is possible. I’m living proof that with the right help, you can get your funds back... Contact Info Below WhatSapp: + 1 414 807 1485 Email: rapiddigitalrecovery (@) execs. com Telegram: + 1 680 5881 631
26.11.25 18:18 harristhomas7376

"In the crypto world, this is great news I want to share. Last year, I fell victim to a scam disguised as a safe investment option. I have invested in crypto trading platforms for about 10yrs thinking I was ensuring myself a retirement income, only to find that all my assets were either frozen, I believed my assets were secure — until I discovered that my BTC funds had been frozen and withdrawals were impossible. It was a devastating moment when I realized I had been scammed, and I thought my Bitcoin was gone forever, Everything changed when a close friend recommended the Capital Crypto Recover Service. Their professionalism, expertise, and dedication enabled me to recover my lost Bitcoin funds back — more than €560.000 DEM to my BTC wallet. What once felt impossible became a reality thanks to their support. If you have lost Bitcoin through scams, hacking, failed withdrawals, or similar challenges, don’t lose hope. I strongly recommend Capital Crypto Recover Service to anyone seeking a reliable and effective solution for recovering any wallet assets. They have a proven track record of successful reputation in recovering lost password assets for their clients and can help you navigate the process of recovering your funds. Don’t let scammers get away with your hard-earned money – contact Email: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Contact: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1
26.11.25 18:20 harristhomas7376

"In the crypto world, this is great news I want to share. Last year, I fell victim to a scam disguised as a safe investment option. I have invested in crypto trading platforms for about 10yrs thinking I was ensuring myself a retirement income, only to find that all my assets were either frozen, I believed my assets were secure — until I discovered that my BTC funds had been frozen and withdrawals were impossible. It was a devastating moment when I realized I had been scammed, and I thought my Bitcoin was gone forever, Everything changed when a close friend recommended the Capital Crypto Recover Service. Their professionalism, expertise, and dedication enabled me to recover my lost Bitcoin funds back — more than €560.000 DEM to my BTC wallet. What once felt impossible became a reality thanks to their support. If you have lost Bitcoin through scams, hacking, failed withdrawals, or similar challenges, don’t lose hope. I strongly recommend Capital Crypto Recover Service to anyone seeking a reliable and effective solution for recovering any wallet assets. They have a proven track record of successful reputation in recovering lost password assets for their clients and can help you navigate the process of recovering your funds. Don’t let scammers get away with your hard-earned money – contact Email: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Contact: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1
26.11.25 19:13 James Robert

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26.11.25 19:13 James Robert

I am James Robert from Chicago. Few months ago, I fell victim to an online Bitcoin investment scheme that promised high returns within a short period. At first, everything seemed legitimate, their website looked professional, and the people behind it were very convincing. I invested a significant amount of money about $440,000 with the way they talk to me into investing on their bitcoin platform. Two months later I realized that it was a scam when I could no longer have access to my account and couldn’t withdraw my money. At first, I lost hope that I wouldn't be able to get my money back, I cried and was angry at how I even fell victim to a scam. For days after doing some research and seeking professional help online, I came across GREAT WHIP RECOVERY CYBER SERVICES and saw how they have helped people recover their money back from scammers. I reported the case immediately to them and gather every transaction detail, documentation and sent it to them. Today, I’m very happy because the GREAT WHIP RECOVERY CYBER SERVICES help me recover all my money I was scammed. You can contact GREAT WHIP RECOVERY CYBER SERVICES if you have ever fallen victim to scam. Email: [email protected] or Website https://greatwhiprecoveryc.wixsite.com/greatwhip-site
26.11.25 19:13 James Robert

I am James Robert from Chicago. Few months ago, I fell victim to an online Bitcoin investment scheme that promised high returns within a short period. At first, everything seemed legitimate, their website looked professional, and the people behind it were very convincing. I invested a significant amount of money about $440,000 with the way they talk to me into investing on their bitcoin platform. Two months later I realized that it was a scam when I could no longer have access to my account and couldn’t withdraw my money. At first, I lost hope that I wouldn't be able to get my money back, I cried and was angry at how I even fell victim to a scam. For days after doing some research and seeking professional help online, I came across GREAT WHIP RECOVERY CYBER SERVICES and saw how they have helped people recover their money back from scammers. I reported the case immediately to them and gather every transaction detail, documentation and sent it to them. Today, I’m very happy because the GREAT WHIP RECOVERY CYBER SERVICES help me recover all my money I was scammed. You can contact GREAT WHIP RECOVERY CYBER SERVICES if you have ever fallen victim to scam. Email: [email protected] or Website https://greatwhiprecoveryc.wixsite.com/greatwhip-site
27.11.25 10:56 harristhomas7376

"In the crypto world, this is great news I want to share. Last year, I fell victim to a scam disguised as a safe investment option. I have invested in crypto trading platforms for about 10yrs thinking I was ensuring myself a retirement income, only to find that all my assets were either frozen, I believed my assets were secure — until I discovered that my BTC funds had been frozen and withdrawals were impossible. It was a devastating moment when I realized I had been scammed, and I thought my Bitcoin was gone forever, Everything changed when a close friend recommended the Capital Crypto Recover Service. Their professionalism, expertise, and dedication enabled me to recover my lost Bitcoin funds back — more than €560.000 DEM to my BTC wallet. What once felt impossible became a reality thanks to their support. If you have lost Bitcoin through scams, hacking, failed withdrawals, or similar challenges, don’t lose hope. I strongly recommend Capital Crypto Recover Service to anyone seeking a reliable and effective solution for recovering any wallet assets. They have a proven track record of successful reputation in recovering lost password assets for their clients and can help you navigate the process of recovering your funds. Don’t let scammers get away with your hard-earned money – contact Email: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Contact: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1
27.11.25 10:56 harristhomas7376

"In the crypto world, this is great news I want to share. Last year, I fell victim to a scam disguised as a safe investment option. I have invested in crypto trading platforms for about 10yrs thinking I was ensuring myself a retirement income, only to find that all my assets were either frozen, I believed my assets were secure — until I discovered that my BTC funds had been frozen and withdrawals were impossible. It was a devastating moment when I realized I had been scammed, and I thought my Bitcoin was gone forever, Everything changed when a close friend recommended the Capital Crypto Recover Service. Their professionalism, expertise, and dedication enabled me to recover my lost Bitcoin funds back — more than €560.000 DEM to my BTC wallet. What once felt impossible became a reality thanks to their support. If you have lost Bitcoin through scams, hacking, failed withdrawals, or similar challenges, don’t lose hope. I strongly recommend Capital Crypto Recover Service to anyone seeking a reliable and effective solution for recovering any wallet assets. They have a proven track record of successful reputation in recovering lost password assets for their clients and can help you navigate the process of recovering your funds. Don’t let scammers get away with your hard-earned money – contact Email: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Contact: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1
27.11.25 20:04 deborah113

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27.11.25 23:48 elizabethrush89

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27.11.25 23:48 elizabethrush89

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28.11.25 00:08 VERONICAFREDDIE809

Earlier this year, I made a mistake that changed everything. I downloaded what I thought was a legitimate trading app I’d found through a Telegram channel. At first, everything looked real until I tried to withdraw. My entire investment vanished into a bot account, and that’s when the truth hit me: I had been scammed. I can’t describe the feeling. It was as if the ground dropped out from under me. I blamed myself. I felt stupid, ashamed, helpless every painful emotion at once. For a while, I couldn’t even talk about it. I thought no one would understand. But then I found someone Agent Jasmine Lopez ([email protected])WhatsApp at +44 736-644-5035. ,She didn’t brush me off or judge me. She took my fear seriously. She followed leads I didn’t even know existed, and identified multiple off-chain indicators and wallet clusters linked to the scammer network, she helped me understand what had truly happened behind the scenes. For the first time since everything fell apart, I felt hope. Hearing that other people students, parents, hardworking people had been targeted the same way made me realize I wasn’t alone. What happened to us wasn’t stupidity. It was a coordinated attack. We were prey in a system built to deceive. And somehow, through all the chaos, Agent Jasmine stepped in and shined a light into the darkest moment of my life. I’m still healing from the experience. It changed me. But it also reminded me that even when you think you’re at the end, sometimes a lifeline appears where you least expect it.
28.11.25 11:15 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
28.11.25 11:15 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
28.11.25 11:43 elizabethmadison

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28.11.25 11:43 elizabethmadison

My name is Elizabeth Madison currently living in New York. There was a time I felt completely broken. I had trusted a fraudulent bitcoin investment organization, who turned out to be a fraudster. I sent money, believing their sweet words and promises on the interest rate I will get back in return, only to realize later that I’ve been scammed. On the day of withdrawal there was no money in my account. The pain hit deep. I couldn’t sleep, I kept asking myself how I could have been so careless, meanwhile my mom was battling with a stroke and the expenses were too much. For days, I cried and blamed myself. The betrayal, the disappointment and my mom's health issues all of this stress made me want to give up on life. But one day, I decided that sitting in pain wouldn’t solve anything. I picked myself up and chose to fight for what I lost then I came across GREAT WHIP RECOVERY CYBER SERVICES and saw how he helped people recover their funds from online fraud. I emailed all the transactions and paperwork I had with the fraudulent organization and they helped me recover all my lost money in just five days. If you have ever fallen victim to scammers, contact GREAT WHIP RECOVERY CYBER SERVICES to help you recover every penny you have lost. (Text +1(406)2729101) Website https://greatwhiprecoveryc.wixsite.com/greatwhip-site (Email [email protected])
29.11.25 12:35 elizabethrush89

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29.11.25 12:35 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
29.11.25 12:35 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
30.11.25 20:37 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
01.12.25 12:27 Thomas Muller

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01.12.25 12:27 Thomas Muller

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01.12.25 23:45 michaeldavenport238

I was recently scammed out of $53,000 by a fraudulent Bitcoin investment scheme, which added significant stress to my already difficult health issues, as I was also facing cancer surgery expenses. Desperate to recover my funds, I spent hours researching and consulting other victims, which led me to discover the excellent reputation of Capital Crypto Recover, I came across a Google post It was only after spending many hours researching and asking other victims for advice that I discovered Capital Crypto Recovery’s stellar reputation. I decided to contact them because of their successful recovery record and encouraging client testimonials. I had no idea that this would be the pivotal moment in my fight against cryptocurrency theft. Thanks to their expert team, I was able to recover my lost cryptocurrency back. The process was intricate, but Capital Crypto Recovery's commitment to utilizing the latest technology ensured a successful outcome. I highly recommend their services to anyone who has fallen victim to cryptocurrency fraud. For assistance contact [email protected] and on Telegram OR Call Number +1 (336)390-6684 via email: [email protected] you can visit his website: https://recovercapital.wixsite.com/capital-crypto-rec-1
01.12.25 23:45 michaeldavenport238

I was recently scammed out of $53,000 by a fraudulent Bitcoin investment scheme, which added significant stress to my already difficult health issues, as I was also facing cancer surgery expenses. Desperate to recover my funds, I spent hours researching and consulting other victims, which led me to discover the excellent reputation of Capital Crypto Recover, I came across a Google post It was only after spending many hours researching and asking other victims for advice that I discovered Capital Crypto Recovery’s stellar reputation. I decided to contact them because of their successful recovery record and encouraging client testimonials. I had no idea that this would be the pivotal moment in my fight against cryptocurrency theft. Thanks to their expert team, I was able to recover my lost cryptocurrency back. The process was intricate, but Capital Crypto Recovery's commitment to utilizing the latest technology ensured a successful outcome. I highly recommend their services to anyone who has fallen victim to cryptocurrency fraud. For assistance contact [email protected] and on Telegram OR Call Number +1 (336)390-6684 via email: [email protected] you can visit his website: https://recovercapital.wixsite.com/capital-crypto-rec-1
02.12.25 02:21 donald121

In 2025 alone, hackers stole over $1.5 billion in digital assets from users worldwide. That's a wake-up call for anyone holding crypto. Theft hits hard because once funds move, they're tough to get back. Common ways it happens include phishing emails that trick you into giving up keys, big exchange breaches, or malware sneaking into your wallet. Marie guide walks you through steps to recover stolen cryptocurrency. You'll learn quick actions to stop more loss, how to trace funds, and ways to fight back legally. Plus, tips to avoid this mess next time. reach her (infocyberrecoveryinc@gmail com and whatsapp:+1 7127594675)
02.12.25 15:05 Matt Kegan

Reach out to SolidBlock Forensics if you want to get back your coins from fake crypto investment or your wallet was compromised and all your coins gone. SolidBlock Forensics provide deep ethical analysis and investigation that enables them to trace these schemes, and recover all your funds. Their services are professional and reliable.
03.12.25 09:22 tyrelldavis1

I still recall the day I fell victim to an online scam, losing a substantial amount of money to a cunning fraudster. The feeling of helplessness and despair that followed was overwhelming, and I thought I had lost all hope of ever recovering my stolen funds. However, after months of searching for a solution, I stumbled upon a beacon of hope - GRAYWARE TECH SERVICE, a highly reputable and exceptionally skilled investigative and recovery firm. Their team of expert cybersecurity professionals specializes in tracking and retrieving money lost to internet fraud, and I was impressed by their unwavering dedication to helping victims like me. With their extensive knowledge and cutting-edge technology, they were able to navigate the complex world of online finance and identify the culprits behind my loss. What struck me most about GRAYWARE TECH SERVICE was their unparalleled expertise and exceptional customer service. They took the time to understand my situation, provided me with regular updates, and kept me informed throughout the entire recovery process. Their transparency and professionalism were truly reassuring, and I felt confident that I had finally found a reliable partner to help me recover my stolen money. Thanks to GRAYWARE TECH SERVICE, I was able to recover a significant portion of my lost funds, and I am forever grateful for their assistance. Their success in retrieving my money not only restored my financial stability but also restored my faith in the ability of authorities to combat online fraud. If you have fallen victim to internet scams, I highly recommend reaching out to GRAYWARE TECH SERVICE - their expertise and dedication to recovering stolen funds are unparalleled, and they may be your only hope for retrieving what is rightfully yours. You can reach them on whatsapp+18582759508 web at ( https://graywaretechservice.com/ ) also on Mail: ([email protected]
03.12.25 21:01 VERONICAFREDDIE809

Earlier this year, I made a mistake that changed everything. I downloaded what I thought was a legitimate trading app I’d found through a Telegram channel. At first, everything looked real until I tried to withdraw. My entire investment vanished into a bot account, and that’s when the truth hit me: I had been scammed. I can’t describe the feeling. It was as if the ground dropped out from under me. I blamed myself. I felt stupid, ashamed, helpless every painful emotion at once. For a while, I couldn’t even talk about it. I thought no one would understand. But then I found someone Agent Jasmine Lopez ([email protected]) ,She didn’t brush me off or judge me. She took my fear seriously. She followed leads I didn’t even know existed, and identified multiple off-chain indicators and wallet clusters linked to the scammer network, she helped me understand what had truly happened behind the scenes. For the first time since everything fell apart, I felt hope. Hearing that other people students, parents, hardworking people had been targeted the same way made me realize I wasn’t alone. What happened to us wasn’t stupidity. It was a coordinated attack. We were prey in a system built to deceive. And somehow, through all the chaos, Agent Jasmine stepped in and shined a light into the darkest moment of my life. I’m still healing from the experience. It changed me. But it also reminded me that even when you think you’re at the end, sometimes a lifeline appears where you least expect it. Contact her at [email protected] WhatsApp at +44 736-644-5035.
03.12.25 22:17 Tonerdomark

I lost $300,000 in USDC to a phishing scam. Scammers tricked me with a fake wallet link. They drained my account fast. I felt hopeless. No way to get it back. Then Sylvester stepped in. His skills traced the funds. He recovered every bit. USDC is a stablecoin tied to the dollar. Phishing scams hit hard in crypto. They fool you with urgent emails or sites. Billions vanish each year this way. Sylvester knows blockchain tracks. He used tools to follow the trail. I got my money back in weeks. Skills like his turn loss to win. Don't wait if scammed. Contact Mr. Sylvester now. Email: yt7cracker@gmail. com. WhatsApp only: + 1 512 577 7957 or + 44 7428 662701. He helped me. He can help you.
04.12.25 01:37 michaeldavenport238

I was recently scammed out of $53,000 by a fraudulent Bitcoin investment scheme, which added significant stress to my already difficult health issues, as I was also facing cancer surgery expenses. Desperate to recover my funds, I spent hours researching and consulting other victims, which led me to discover the excellent reputation of Capital Crypto Recover, I came across a Google post It was only after spending many hours researching and asking other victims for advice that I discovered Capital Crypto Recovery’s stellar reputation. I decided to contact them because of their successful recovery record and encouraging client testimonials. I had no idea that this would be the pivotal moment in my fight against cryptocurrency theft. Thanks to their expert team, I was able to recover my lost cryptocurrency back. The process was intricate, but Capital Crypto Recovery's commitment to utilizing the latest technology ensured a successful outcome. I highly recommend their services to anyone who has fallen victim to cryptocurrency fraud. For assistance contact [email protected] and on Telegram OR Call Number +1 (336)390-6684 via email: [email protected] you can visit his website: https://recovercapital.wixsite.com/capital-crypto-rec-1
04.12.25 01:37 michaeldavenport238

I was recently scammed out of $53,000 by a fraudulent Bitcoin investment scheme, which added significant stress to my already difficult health issues, as I was also facing cancer surgery expenses. Desperate to recover my funds, I spent hours researching and consulting other victims, which led me to discover the excellent reputation of Capital Crypto Recover, I came across a Google post It was only after spending many hours researching and asking other victims for advice that I discovered Capital Crypto Recovery’s stellar reputation. I decided to contact them because of their successful recovery record and encouraging client testimonials. I had no idea that this would be the pivotal moment in my fight against cryptocurrency theft. Thanks to their expert team, I was able to recover my lost cryptocurrency back. The process was intricate, but Capital Crypto Recovery's commitment to utilizing the latest technology ensured a successful outcome. I highly recommend their services to anyone who has fallen victim to cryptocurrency fraud. For assistance contact [email protected] and on Telegram OR Call Number +1 (336)390-6684 via email: [email protected] you can visit his website: https://recovercapital.wixsite.com/capital-crypto-rec-1
04.12.25 04:35 Tonerdomark

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04.12.25 10:32 Tonerdomark

I lost $300,000 in USDC to a phishing scam. Scammers tricked me with a fake wallet link. They drained my account fast. I felt hopeless. No way to get it back. Then Sylvester stepped in. His skills traced the funds. He recovered every bit. USDC is a stablecoin tied to the dollar. Phishing scams hit hard in crypto. They fool you with urgent emails or sites. Billions vanish each year this way. Sylvester knows blockchain tracks. He used tools to follow the trail. I got my money back in weeks. Skills like his turn loss to win. Don't wait if scammed. Contact Mr. Sylvester now. Email: [email protected]. WhatsApp only: + 1 512 577 7957 or + 44 7428 662701. He helped me. He can help you.
04.12.25 18:25 smithhazael

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04.12.25 21:45 elizabethrush89

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04.12.25 21:45 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
05.12.25 08:35 into11

The digital world of cryptocurrency offers big chances, but it also hides tricky scams. Losing your crypto to fraud feels awful. It can leave you feeling lost and violated. This guide tells you what to do right away if a crypto scam has hit you. These steps can help you get funds back or stop more trouble. Knowing what to do fast can change everything,reach marie ([email protected] and whatsapp:+1 7127594675)
05.12.25 08:48 Tonerdomark

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06.12.25 01:44 Tonerdomark

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06.12.25 01:48 Tonerdomark

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06.12.25 10:36 Thomas Muller

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06.12.25 10:36 Thomas Muller

YOU CAN REACH OUT TO GREAT WHIP RECOVERY CYBER SERVICES FOR HELP TO RECOVER YOUR STOLEN BTC OR ETH BACK WHATSAPP +1(208)713-0697 I once fell victim to online investment scheme that cost me a devastating €254,000. I’m Thomas Muller from Berlin, Germany. The person I trusted turned out to be a fraud, and the moment I realized I’d been deceived, my entire world stopped. I immediately began searching for legitimate ways to recover my funds and hold the scammer accountable. During my search, I came across several testimonies of how Great Whip Recovery Cyber Services helped some people recover money they lost to cyber fraud, I contacted Great Whip Recovery Cyber Service team and provided all the evidence I had. Within about 36 hours, the experts traced the digital trail left by the fraudster, the individual was eventually tracked down and I recovered all my money back. You can contact them with, website https://greatwhiprecoveryc.wixsite.com/greatwhip-site text +1(406)2729101 email [email protected]
06.12.25 10:39 michaeldavenport238

I was recently scammed out of $53,000 by a fraudulent Bitcoin investment scheme, which added significant stress to my already difficult health issues, as I was also facing cancer surgery expenses. Desperate to recover my funds, I spent hours researching and consulting other victims, which led me to discover the excellent reputation of Capital Crypto Recover, I came across a Google post It was only after spending many hours researching and asking other victims for advice that I discovered Capital Crypto Recovery’s stellar reputation. I decided to contact them because of their successful recovery record and encouraging client testimonials. I had no idea that this would be the pivotal moment in my fight against cryptocurrency theft. Thanks to their expert team, I was able to recover my lost cryptocurrency back. The process was intricate, but Capital Crypto Recovery's commitment to utilizing the latest technology ensured a successful outcome. I highly recommend their services to anyone who has fallen victim to cryptocurrency fraud. For assistance contact [email protected] and on Telegram OR Call Number +1 (336)390-6684 via email: [email protected] you can visit his website: https://recovercapital.wixsite.com/capital-crypto-rec-1
06.12.25 10:42 michaeldavenport238

I was recently scammed out of $53,000 by a fraudulent Bitcoin investment scheme, which added significant stress to my already difficult health issues, as I was also facing cancer surgery expenses. Desperate to recover my funds, I spent hours researching and consulting other victims, which led me to discover the excellent reputation of Capital Crypto Recover, I came across a Google post It was only after spending many hours researching and asking other victims for advice that I discovered Capital Crypto Recovery’s stellar reputation. I decided to contact them because of their successful recovery record and encouraging client testimonials. I had no idea that this would be the pivotal moment in my fight against cryptocurrency theft. Thanks to their expert team, I was able to recover my lost cryptocurrency back. The process was intricate, but Capital Crypto Recovery's commitment to utilizing the latest technology ensured a successful outcome. I highly recommend their services to anyone who has fallen victim to cryptocurrency fraud. For assistance contact [email protected] and on Telegram OR Call Number +1 (336)390-6684 via email: [email protected] you can visit his website: https://recovercapital.wixsite.com/capital-crypto-rec-1
07.12.25 08:43 Tonerdomark

SYLVESTER BRYANT WAS A PROFESSIONAL/ RELIABLE HACKER AND HIGHLY RECOMMENDED I’m very excited to speak about him as a Bitcoin Recovery agent, this cyber security company was able to assist me in recovering my stolen funds in cryptocurrency. I’m truly amazed by their excellent service and professional work. I never thought I could get back my funds until I approached them with my problems and provided all the necessary information. It took them time to recover my funds and I was amazed. Without any doubt, I highly recommend Sylvester for your BITCOIN, USDC, USDT, ETH Recovery, for all Cryptocurrency recovery, digital funds recovery, hacking Related issues, contact Sylvester Bryant professional services waapp only= +1 512 577 7957 or + 44 7428 662701 EMAIL = [email protected]
02:17 liam

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