第二届parloo杯ctf复现

misc
赛题
发布日期:   2025-05-22

parloo

MISC

时间循环的信使

题目描述：

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某神秘组织通过时间循环传递加密信息，我们在捕获的流量日志中发现异常时间戳。日志文件显示："在错误的时间做正确的事，在正确的时间解开谜题"，flag格式为palu{xxx}

下载附件

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1745396077|start_of_cycle
1745396794|24a7ffd6
1745396047|c9de3dbe
1745394659|b9d8ae71
1745398359|8db56fff
1745395622|b4842a73
1745397297|33333333
1745397480|33333333
1745399066|dddddddd
1745399005|77777777
1745398822|00000000
1745397968|33333333
1745398761|33333333
1745398334|33333333
1745397724|33333333
1745398883|77777777
1745398517|66666666
1745398944|88888888
1745398578|cccccccc
1745398273|66666666
1745398700|ffffffff
1745398212|11111111
1745398395|44444444
1745398639|55555555
1745398456|00000000
1745397846|99999999
1745397419|77777777
1745398151|33333333
1745397785|77777777
1745397907|66666666
1745396321|66666666
1745398090|cccccccc
1745396687|55555555
1745398029|66666666
1745397175|55555555
1745394161|a1625710
1745397663|66666666
1745396565|77777777
1745397541|55555555
1745397602|ffffffff
1745397053|66666666
1745397236|ffffffff
1745396931|66666666
1745397114|55555555
1745397358|11111111
1745396992|dddddddd
1745396748|44444444
1745396626|bbbbbbbb
1745396138|00000000
1745396809|66666666
1745396870|99999999
1745396443|77777777
1745398018|fc8ed0ca
1745396382|cccccccc
1745397979|34ab068b
1745396199|66666666
1745394683|6836824f
1745396504|55555555
1745393898|28dac2ac
1745398801|d6299052
1745395162|9b1e86b7
1745396260|11111111
1745393003|0d24ea09
1745393325|760b22f2
1745393523|164fabd0
1745396077|77777777
1745396237|9d88cb0f
1745394326|ecbc8ba2
1745392873|fb621cc6
1745395817|dff1f0ab
1745397424|1aa62ae2
1745399066|end_of_cycle

按照时间戳排序，提取首字符，并将十六进制转换为ASCII

exp：

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def extract_flag(log_path):
    """
    从日志文件中提取flag
    优化点：
    1. 更好的错误处理
    2. 验证十六进制字符
    3. 处理奇数长度十六进制串
    4. 更清晰的代码结构
    """
    entries = []
    
    # 1. 读取和解析文件
    try:
        with open(log_path, 'r') as f:
            for line in f:
                line = line.strip()
                
                # 跳过无效行
                if (line.startswith('start_of_cycle') or 
                    line.startswith('end_of_cycle') or 
                    '|' not in line):
                    continue
                
                # 分割时间戳和值
                try:
                    timestamp_str, value = line.split('|', 1)
                    timestamp = int(timestamp_str)
                except ValueError:
                    continue
                
                # 验证值是否符合要求
                if (len(value) == 8 and 
                    all(c == value[0] for c in value) and
                    all(c in '0123456789abcdef' for c in value.lower())):
                    entries.append((timestamp, value))
    
    except FileNotFoundError:
        print(f"错误: 文件 {log_path} 未找到")
        return None, None
    except Exception as e:
        print(f"读取文件时出错: {str(e)}")
        return None, None
    
    # 2. 处理提取的数据
    if not entries:
        print("警告: 未找到有效数据")
        return None, None
    
    # 按时间戳排序
    entries.sort(key=lambda x: x[0])
    
    # 提取首字符并拼接
    hex_str = ''.join(v[0] for _, v in entries)
    
    # 3. 处理十六进制串
    # 确保长度为偶数
    if len(hex_str) % 2 != 0:
        print(f"警告: 十六进制串长度为奇数({len(hex_str)}), 自动截断")
        hex_str = hex_str[:-1]  # 去掉最后一个字符
    
    # 4. 解码为ASCII
    try:
        flag = bytes.fromhex(hex_str).decode('utf-8')
    except ValueError as e:
        print(f"解码十六进制时出错: {str(e)}")
        return hex_str, None
    
    return hex_str, flag


if __name__ == "__main__":
    log_file = 'D:\\tmp\\timeloop.log-20250518180701-6802v7l\\timeloop.log'
    hex_sequence, extracted_flag = extract_flag(log_file)
    
    if hex_sequence is not None:
        print("提取的十六进制串:", hex_sequence)
        
    if extracted_flag is not None:
        print("解码得到的 Flag:", extracted_flag)
    else:
        print("未能解码出有效的 Flag")

运行得到

最后flag为

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palu{Time_1s_cycl1c@l_0x}

时间折叠（TimeFold Paradox）

题目描述：

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某服务器系统日志中发现异常的时间戳记录，所有时间均显示为"1970-01-01 08:00:00"。技术员发现日志中存在与时间无关的二进制干扰信号，你能从被折叠的时空中找到隐藏的flag吗？

下载附件

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[1970-01-01 08:00:00] System boot sequence initiated
[1970-01-01 08:00:00] SYSTEM ALERT: Time anomaly detected at 00000000fe ns
[1970-01-01 08:00:00] SYSTEM ALERT: Time anomaly detected at 10000000ef ns
[1970-01-01 08:00:00] SYSTEM ALERT: Time anomaly detected at 20000000e2 ns
[1970-01-01 08:00:00] SYSTEM ALERT: Time anomaly detected at 30000000fb ns
[1970-01-01 08:00:00] SYSTEM ALERT: Time anomaly detected at 40000000f5 ns
[1970-01-01 08:00:00] SYSTEM ALERT: Time anomaly detected at 50000000da ns
[1970-01-01 08:00:00] SYSTEM ALERT: Time anomaly detected at 60000000e6 ns
[1970-01-01 08:00:00] SYSTEM ALERT: Time anomaly detected at 70000000e7 ns
[1970-01-01 08:00:00] SYSTEM ALERT: Time anomaly detected at 80000000fd ns
[1970-01-01 08:00:00] SYSTEM ALERT: Time anomaly detected at 90000000d1 ns
[1970-01-01 08:00:00] SYSTEM ALERT: Time anomaly detected at 100000000e7 ns
[1970-01-01 08:00:00] SYSTEM ALERT: Time anomaly detected at 110000000fd ns
[1970-01-01 08:00:00] SYSTEM ALERT: Time anomaly detected at 120000000d1 ns
[1970-01-01 08:00:00] SYSTEM ALERT: Time anomaly detected at 130000000cf ns
[1970-01-01 08:00:00] SYSTEM ALERT: Time anomaly detected at 140000000d1 ns
[1970-01-01 08:00:00] SYSTEM ALERT: Time anomaly detected at 150000000dd ns
[1970-01-01 08:00:00] SYSTEM ALERT: Time anomaly detected at 160000000ef ns
[1970-01-01 08:00:00] SYSTEM ALERT: Time anomaly detected at 170000000e3 ns
[1970-01-01 08:00:00] SYSTEM ALERT: Time anomaly detected at 180000000fe ns
[1970-01-01 08:00:00] SYSTEM ALERT: Time anomaly detected at 190000000e2 ns
[1970-01-01 08:00:00] SYSTEM ALERT: Time anomaly detected at 200000000eb ns
[1970-01-01 08:00:00] SYSTEM ALERT: Time anomaly detected at 210000000d1 ns
[1970-01-01 08:00:00] SYSTEM ALERT: Time anomaly detected at 220000000c8 ns
[1970-01-01 08:00:00] SYSTEM ALERT: Time anomaly detected at 230000000e2 ns
[1970-01-01 08:00:00] SYSTEM ALERT: Time anomaly detected at 240000000ef ns
[1970-01-01 08:00:00] SYSTEM ALERT: Time anomaly detected at 250000000e9 ns
[1970-01-01 08:00:00] SYSTEM ALERT: Time anomaly detected at 260000000d1 ns
[1970-01-01 08:00:00] SYSTEM ALERT: Time anomaly detected at 270000000cd ns
[1970-01-01 08:00:00] SYSTEM ALERT: Time anomaly detected at 280000000e6 ns
[1970-01-01 08:00:00] SYSTEM ALERT: Time anomaly detected at 290000000ef ns
[1970-01-01 08:00:00] SYSTEM ALERT: Time anomaly detected at 300000000e0 ns
[1970-01-01 08:00:00] SYSTEM ALERT: Time anomaly detected at 310000000e9 ns
[1970-01-01 08:00:00] SYSTEM ALERT: Time anomaly detected at 320000000eb ns
[1970-01-01 08:00:00] SYSTEM ALERT: Time anomaly detected at 330000000d1 ns
[1970-01-01 08:00:00] SYSTEM ALERT: Time anomaly detected at 340000000c3 ns
[1970-01-01 08:00:00] SYSTEM ALERT: Time anomaly detected at 350000000eb ns
[1970-01-01 08:00:00] SYSTEM ALERT: Time anomaly detected at 360000000af ns
[1970-01-01 08:00:00] SYSTEM ALERT: Time anomaly detected at 370000000af ns
[1970-01-01 08:00:00] SYSTEM ALERT: Time anomaly detected at 380000000f3 ns
[1970-01-01 08:00:00] System entering chronostasis mode

exp：

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import re

def extract_hidden_string(log_path):
    result_bytes = []
    pattern = re.compile(r"Time anomaly detected at ([0-9A-Fa-f]+) ns")
    
    with open(log_path, 'r') as f:
        for line in f:
            m = pattern.search(line)
            if not m:
                continue
            hex_str = m.group(1)
            
            value = int(hex_str, 16)
            low_byte = value & 0xFF  # 取最低字节
            cleared = low_byte & 0x7F  # 清除高位
            decoded = cleared ^ 0x0E  # 与 0x0E 异或
            result_bytes.append(decoded)
    
    hidden = bytes(result_bytes).decode('utf-8', errors='replace')
    return hidden

if __name__ == "__main__":
    log_file = 'D:\\tmp\\timefold.log-20250518180758-h9knw8w\\timefold.log'  # 请根据实际路径修改
    hidden_flag = extract_hidden_string(log_file)
    print("提取到的隐藏字符串：", hidden_flag)

运行得到

不写脚本的话，可以直接赛博厨子一把梭

最后flag为

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palu{This_is_A_Sample_Flag_Change_Me!!}

时空交织的密语

题目描述：

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我们在暗网服务器中发现了一个神秘文件，据说是某个黑客组织的「时空密钥」，文件内容似乎由大量时间戳构成。情报显示，只有将时间维度与二进制低语结合才能解开秘密。线索隐藏在时空的起点与终点之间。

下载附件，timestream.bin

每四个字节是一组，且前28位（4*7=28）完全相同，提取出不一样的字符为一整串：

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770616c757b54696d655f31735f42316e6172795f7576869737065727dd

赛博厨子一把梭

根据题目提示“隐藏在时空的起点与终点之间”，数据开头和结尾可能存在填充字符，去除开头的7，得到前半段flag

最后flag为

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palu{Time_1s_B1nary_Whisper}

量子迷宫

题目描述：

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未来量子实验室的AI将机密数据加密成了量子迷宫，每一行代表一个量子比特操作。只有通过逆向坍缩观测，才能还原出被量子噪声掩盖的密钥。实验室遗留的日志文件似乎隐藏着关键线索（flag格式：palu{32位md5}）

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一把梭得到

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QUBIT|0⟩ → X Gate
QUBIT|1⟩ → Y Gate PHOTON: 2492°
QUBIT|1⟩ → X Gate
QUBIT|1⟩ → Z Gate
QUBIT|0⟩ → X Gate
QUBIT|0⟩ → X Gate
QUBIT|0⟩ → Y Gate
QUBIT|0⟩ → X Gate
QUBIT|0⟩ → X Gate
QUBIT|1⟩ → X Gate PHOTON: 9059°
QUBIT|1⟩ → Z Gate
QUBIT|0⟩ → Y Gate PHOTON: 3236°
QUBIT|0⟩ → Y Gate
QUBIT|0⟩ → Y Gate
QUBIT|0⟩ → X Gate
QUBIT|1⟩ → Z Gate
QUBIT|0⟩ → Y Gate PHOTON: 0343°
QUBIT|1⟩ → X Gate
QUBIT|1⟩ → X Gate
QUBIT|0⟩ → X Gate
QUBIT|1⟩ → Z Gate PHOTON: 4924°
QUBIT|1⟩ → Z Gate PHOTON: 9845°
QUBIT|0⟩ → X Gate
QUBIT|0⟩ → Y Gate
QUBIT|0⟩ → X Gate
QUBIT|1⟩ → Z Gate PHOTON: 8636°
QUBIT|1⟩ → Z Gate
QUBIT|1⟩ → Y Gate
QUBIT|0⟩ → Z Gate
QUBIT|1⟩ → Z Gate PHOTON: 3338°
QUBIT|0⟩ → Y Gate
QUBIT|1⟩ → Y Gate
QUBIT|0⟩ → Y Gate PHOTON: 9330°
QUBIT|1⟩ → X Gate PHOTON: 6444°
QUBIT|1⟩ → Z Gate PHOTON: 7332°
QUBIT|1⟩ → Z Gate PHOTON: 2802°
QUBIT|1⟩ → Y Gate
QUBIT|0⟩ → X Gate
QUBIT|1⟩ → Y Gate PHOTON: 7495°
QUBIT|1⟩ → Z Gate
QUBIT|0⟩ → Y Gate
QUBIT|1⟩ → X Gate
QUBIT|1⟩ → Z Gate PHOTON: 2260°
QUBIT|0⟩ → Z Gate
QUBIT|0⟩ → X Gate
QUBIT|0⟩ → Y Gate PHOTON: 3385°
QUBIT|0⟩ → Y Gate
QUBIT|1⟩ → Y Gate
QUBIT|0⟩ → Z Gate
QUBIT|1⟩ → Y Gate
QUBIT|1⟩ → X Gate
QUBIT|0⟩ → X Gate PHOTON: 6747°
QUBIT|0⟩ → Z Gate PHOTON: 7225°
QUBIT|1⟩ → X Gate
QUBIT|0⟩ → X Gate
QUBIT|1⟩ → X Gate
QUBIT|0⟩ → X Gate PHOTON: 1308°
QUBIT|1⟩ → Y Gate PHOTON: 3430°
QUBIT|1⟩ → X Gate
QUBIT|0⟩ → X Gate
QUBIT|0⟩ → X Gate
QUBIT|0⟩ → X Gate
QUBIT|0⟩ → X Gate
QUBIT|1⟩ → X Gate
QUBIT|0⟩ → Z Gate PHOTON: 9519°
QUBIT|0⟩ → Z Gate
QUBIT|1⟩ → X Gate
QUBIT|1⟩ → X Gate
QUBIT|0⟩ → Y Gate
QUBIT|1⟩ → Y Gate
QUBIT|0⟩ → X Gate PHOTON: 0681°
QUBIT|0⟩ → Y Gate
QUBIT|0⟩ → Z Gate PHOTON: 5267°
QUBIT|0⟩ → Z Gate
QUBIT|1⟩ → Z Gate
QUBIT|1⟩ → X Gate PHOTON: 0578°
QUBIT|0⟩ → Z Gate
QUBIT|0⟩ → Y Gate
QUBIT|1⟩ → X Gate
QUBIT|1⟩ → Z Gate
QUBIT|0⟩ → Y Gate
QUBIT|0⟩ → Y Gate
QUBIT|1⟩ → Y Gate PHOTON: 4193°
QUBIT|1⟩ → Y Gate PHOTON: 7897°
QUBIT|0⟩ → Z Gate
QUBIT|1⟩ → Z Gate
QUBIT|1⟩ → Z Gate PHOTON: 3655°
QUBIT|1⟩ → X Gate
QUBIT|0⟩ → X Gate
QUBIT|1⟩ → Y Gate
QUBIT|1⟩ → Y Gate
QUBIT|0⟩ → X Gate PHOTON: 7451°
QUBIT|0⟩ → Z Gate
QUBIT|0⟩ → Y Gate
QUBIT|1⟩ → X Gate
QUBIT|1⟩ → Y Gate
QUBIT|0⟩ → Y Gate
QUBIT|0⟩ → Y Gate
QUBIT|1⟩ → X Gate
QUBIT|1⟩ → Y Gate
QUBIT|0⟩ → Z Gate
QUBIT|0⟩ → Y Gate PHOTON: 3026°
QUBIT|0⟩ → Y Gate
QUBIT|1⟩ → Y Gate
QUBIT|0⟩ → Y Gate
QUBIT|0⟩ → X Gate
QUBIT|1⟩ → Z Gate PHOTON: 0545°
QUBIT|1⟩ → Z Gate PHOTON: 3109°
QUBIT|0⟩ → Z Gate
QUBIT|0⟩ → Y Gate PHOTON: 5961°
QUBIT|1⟩ → Z Gate
QUBIT|0⟩ → X Gate
QUBIT|0⟩ → Z Gate
QUBIT|1⟩ → Y Gate
QUBIT|1⟩ → Y Gate
QUBIT|0⟩ → X Gate
QUBIT|0⟩ → Y Gate PHOTON: 3891°
QUBIT|0⟩ → Z Gate PHOTON: 3526°
QUBIT|1⟩ → Y Gate
QUBIT|0⟩ → X Gate
QUBIT|0⟩ → Z Gate PHOTON: 0700°
QUBIT|0⟩ → Y Gate PHOTON: 2206°
QUBIT|1⟩ → Z Gate
QUBIT|1⟩ → Y Gate
QUBIT|0⟩ → Z Gate
QUBIT|0⟩ → Y Gate PHOTON: 5413°
QUBIT|0⟩ → Y Gate
QUBIT|1⟩ → X Gate PHOTON: 5012°
QUBIT|0⟩ → X Gate
QUBIT|0⟩ → X Gate
QUBIT|1⟩ → Z Gate
QUBIT|1⟩ → X Gate PHOTON: 4919°
QUBIT|0⟩ → Y Gate
QUBIT|1⟩ → X Gate PHOTON: 7619°
QUBIT|0⟩ → Z Gate
QUBIT|0⟩ → X Gate
QUBIT|0⟩ → Z Gate
QUBIT|0⟩ → Y Gate PHOTON: 4026°
QUBIT|1⟩ → Y Gate PHOTON: 1952°
QUBIT|1⟩ → X Gate
QUBIT|1⟩ → Z Gate
QUBIT|0⟩ → X Gate
QUBIT|0⟩ → Y Gate
QUBIT|1⟩ → Y Gate
QUBIT|0⟩ → Z Gate
QUBIT|0⟩ → X Gate PHOTON: 7901°
QUBIT|1⟩ → Y Gate
QUBIT|1⟩ → Y Gate
QUBIT|0⟩ → X Gate
QUBIT|1⟩ → Z Gate PHOTON: 3892°
QUBIT|1⟩ → Z Gate
QUBIT|1⟩ → Z Gate PHOTON: 4439°
QUBIT|0⟩ → Y Gate
QUBIT|0⟩ → Y Gate
QUBIT|1⟩ → Z Gate PHOTON: 3298°
QUBIT|1⟩ → X Gate
QUBIT|0⟩ → X Gate PHOTON: 9048°
QUBIT|1⟩ → Z Gate
QUBIT|0⟩ → X Gate
QUBIT|1⟩ → Y Gate
QUBIT|0⟩ → X Gate
QUBIT|0⟩ → Y Gate
QUBIT|1⟩ → Y Gate PHOTON: 0633°
QUBIT|1⟩ → Y Gate
QUBIT|0⟩ → Z Gate
QUBIT|0⟩ → X Gate PHOTON: 8723°
QUBIT|0⟩ → X Gate PHOTON: 4862°
QUBIT|0⟩ → Z Gate
QUBIT|0⟩ → Z Gate
QUBIT|0⟩ → Y Gate
QUBIT|1⟩ → Y Gate PHOTON: 3813°
QUBIT|1⟩ → X Gate
QUBIT|0⟩ → Z Gate
QUBIT|0⟩ → X Gate
QUBIT|1⟩ → Y Gate PHOTON: 9300°
QUBIT|1⟩ → Y Gate
QUBIT|0⟩ → Y Gate
QUBIT|0⟩ → X Gate
QUBIT|1⟩ → X Gate
QUBIT|1⟩ → Z Gate
QUBIT|1⟩ → Z Gate PHOTON: 0159°
QUBIT|0⟩ → Z Gate
QUBIT|0⟩ → Y Gate
QUBIT|0⟩ → X Gate
QUBIT|0⟩ → Y Gate
QUBIT|0⟩ → X Gate PHOTON: 9077°
QUBIT|1⟩ → Z Gate
QUBIT|1⟩ → Z Gate
QUBIT|0⟩ → X Gate PHOTON: 0583°
QUBIT|0⟩ → Z Gate
QUBIT|1⟩ → Y Gate
QUBIT|1⟩ → Y Gate
QUBIT|0⟩ → X Gate
QUBIT|1⟩ → X Gate PHOTON: 9046°
QUBIT|1⟩ → X Gate
QUBIT|0⟩ → Y Gate
QUBIT|0⟩ → Y Gate
QUBIT|1⟩ → Z Gate
QUBIT|1⟩ → Y Gate PHOTON: 0098°
QUBIT|0⟩ → Y Gate
QUBIT|0⟩ → X Gate PHOTON: 2017°
QUBIT|1⟩ → Y Gate PHOTON: 0108°
QUBIT|1⟩ → Z Gate
QUBIT|0⟩ → Z Gate
QUBIT|0⟩ → X Gate
QUBIT|1⟩ → Y Gate
QUBIT|0⟩ → Y Gate
QUBIT|1⟩ → X Gate PHOTON: 7067°
QUBIT|0⟩ → X Gate
QUBIT|0⟩ → X Gate
QUBIT|1⟩ → Y Gate
QUBIT|1⟩ → Y Gate PHOTON: 6973°
QUBIT|0⟩ → X Gate
QUBIT|1⟩ → Z Gate
QUBIT|0⟩ → Z Gate PHOTON: 1550°
QUBIT|1⟩ → Z Gate
QUBIT|0⟩ → Y Gate
QUBIT|0⟩ → Z Gate
QUBIT|1⟩ → X Gate
QUBIT|1⟩ → Y Gate PHOTON: 4732°
QUBIT|0⟩ → Z Gate PHOTON: 6940°
QUBIT|1⟩ → X Gate PHOTON: 1123°
QUBIT|1⟩ → Z Gate PHOTON: 0032°
QUBIT|0⟩ → X Gate
QUBIT|0⟩ → X Gate PHOTON: 6720°
QUBIT|0⟩ → Y Gate
QUBIT|1⟩ → Y Gate PHOTON: 0875°
QUBIT|1⟩ → Y Gate
QUBIT|0⟩ → X Gate PHOTON: 8508°
QUBIT|1⟩ → Y Gate
QUBIT|1⟩ → Z Gate
QUBIT|1⟩ → X Gate PHOTON: 9894°
QUBIT|0⟩ → X Gate
QUBIT|0⟩ → X Gate PHOTON: 7651°
QUBIT|1⟩ → X Gate
QUBIT|1⟩ → Z Gate PHOTON: 7204°
QUBIT|0⟩ → Y Gate
QUBIT|0⟩ → Y Gate
QUBIT|1⟩ → Z Gate
QUBIT|0⟩ → Y Gate
QUBIT|0⟩ → X Gate
QUBIT|0⟩ → Z Gate
QUBIT|1⟩ → X Gate
QUBIT|1⟩ → Z Gate
QUBIT|0⟩ → Z Gate
QUBIT|1⟩ → X Gate PHOTON: 2550°
QUBIT|1⟩ → X Gate PHOTON: 6890°
QUBIT|1⟩ → Y Gate PHOTON: 8092°
QUBIT|0⟩ → X Gate
QUBIT|1⟩ → X Gate PHOTON: 0575°
QUBIT|1⟩ → Z Gate
QUBIT|0⟩ → X Gate
QUBIT|0⟩ → X Gate
QUBIT|1⟩ → Y Gate
QUBIT|0⟩ → X Gate
QUBIT|1⟩ → Z Gate PHOTON: 9590°
QUBIT|0⟩ → X Gate
QUBIT|1⟩ → Z Gate
QUBIT|1⟩ → X Gate
QUBIT|0⟩ → Z Gate
QUBIT|0⟩ → Z Gate PHOTON: 6469°
QUBIT|0⟩ → Z Gate
QUBIT|1⟩ → Y Gate
QUBIT|1⟩ → X Gate
QUBIT|0⟩ → Y Gate PHOTON: 7200°
QUBIT|0⟩ → X Gate
QUBIT|1⟩ → Z Gate PHOTON: 4411°
QUBIT|1⟩ → X Gate
QUBIT|0⟩ → X Gate
QUBIT|1⟩ → Z Gate
QUBIT|0⟩ → Z Gate PHOTON: 8476°
QUBIT|1⟩ → X Gate
QUBIT|0⟩ → X Gate
QUBIT|0⟩ → Y Gate PHOTON: 3776°
QUBIT|1⟩ → X Gate PHOTON: 8227°
QUBIT|1⟩ → X Gate
QUBIT|0⟩ → Z Gate
QUBIT|0⟩ → Y Gate PHOTON: 8469°
QUBIT|1⟩ → Y Gate PHOTON: 6517°
QUBIT|1⟩ → Y Gate
QUBIT|0⟩ → Z Gate
QUBIT|0⟩ → Y Gate
QUBIT|1⟩ → Y Gate PHOTON: 3588°
QUBIT|1⟩ → Z Gate PHOTON: 8744°
QUBIT|0⟩ → Y Gate PHOTON: 8223°
QUBIT|1⟩ → Y Gate PHOTON: 2057°
QUBIT|0⟩ → Y Gate
QUBIT|0⟩ → X Gate
QUBIT|0⟩ → Z Gate PHOTON: 9726°
QUBIT|0⟩ → Z Gate PHOTON: 7367°
QUBIT|1⟩ → Z Gate PHOTON: 5832°
QUBIT|1⟩ → X Gate PHOTON: 3121°
QUBIT|0⟩ → X Gate
QUBIT|1⟩ → Y Gate PHOTON: 0258°
QUBIT|0⟩ → Z Gate
QUBIT|0⟩ → X Gate
QUBIT|0⟩ → Z Gate
QUBIT|1⟩ → Z Gate
QUBIT|1⟩ → Y Gate
QUBIT|1⟩ → Z Gate
QUBIT|1⟩ → Y Gate
QUBIT|1⟩ → Y Gate PHOTON: 7832°
QUBIT|0⟩ → Y Gate
QUBIT|1⟩ → Y Gate PHOTON: 0422°

提取所有的01

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0111000001100001011011000111010101111011011000010110010101100001001101000011001100110111011000110011000100110010011000100011000100110100001110010011011100110101001100000011001100111000001100110110011001100101001101010011011000110111001100100011011101100101011000110011010100110011001101000011010001111101

二进制，八位一组转ascll

最后flag为

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palu{aea437c12b149750383fe56727ec5344}

TopSecret

题目描述：

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你从某机密设施偷取了一份文件,但你被发现了,最后只收到一份乱码,你能从中提取到有用的信息吗?

下载附件

在37页找到base编码

python提取所有的字符串

借用大佬脚本

第二届帕鲁杯TopSecret-CSDN博客

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import fitz  # PyMuPDF
 
def extract_text_from_pdf(pdf_path, txt_path):
    # 打开PDF文件
    pdf_document = fitz.open(pdf_path)
    
    # 初始化一个空列表来存储所有页面的文本
    all_text = []
    
    # 遍历每一页
    for page_num in range(len(pdf_document)):
        page = pdf_document.load_page(page_num)  # 加载页面
        text = page.get_text("text")  # 提取文本
        all_text.append(text)  # 将文本添加到列表中
    
    # 关闭PDF文件
    pdf_document.close()
    
    # 将所有文本合并成一个字符串，并写入TXT文件
    with open(txt_path, 'w', encoding='utf-8') as txt_file:
        txt_file.write('\n'.join(all_text))
 
# 使用函数
pdf_path = 'D:\\tmp\\TopSecret.pdf-20250518181207-df0lanx\\TopSecret.pdf'
txt_path = 'D:\\tmp\\TopSecret.pdf-20250518181207-df0lanx\\TopSecret.txt'
extract_text_from_pdf(pdf_path, txt_path)
 
print(f"Text extracted from {pdf_path} and saved to {txt_path}")

运行得到txt文件，查看文件

base解密

最后flag为

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palu{You_re_a_real_50w}

screenshot

题目描述：

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有个笨比截图flag的时候不小心发到群里了,细心和反回撤的群友已经偷偷记录下来了

下载附件

stegsolve查看通道

最后flag为

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palu{why_you_spy_me}

几何闪烁的秘密

题目描述：

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我们找到了一张神秘的GIF图片，里面似乎隐藏着重要信息。仔细观察，你会发现四个几何体在不同时刻闪现出一些奇怪的字符。你能从中提取出完整的Flag吗？

下载附件

gif分离帧，提取字符串

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圆形：cGFsXttcFsdXtcGFdXtt

正方形：YXN0XJfYN0ZXfYXNZXJf

三角形：b2Zf2VvbZfZ2vb2ZZ2Vv

五边形：bWV0nl9bV0cn9bWVcnl9

直接解密发现不行

base加密flag头部palu

第五位加一个字母d

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cGFsdXttYXN0dXJfb2Zfd2VvbWV0dnI9

base解密

根据题目名的英文修改

最后flag为

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palu{master_of_geometry}

CRYPTO

循环锁链

题目描述：

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密文中的每个字节都被锁在了一个无尽的循环中，只有找到起点才能解开。已知flag以palu{开头，你能利用这个线索解开链条吗？答案隐藏在flag.enc中。

下载附件，用记事本打开发现乱码，010查看

exp：

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def decrypt_flag(ciphertext_hex, known_prefix="palu{"):
    ciphertext_bytes = bytes.fromhex(ciphertext_hex)
    plaintext = []
    
    # 已知 flag 的前缀
    for i in range(len(known_prefix)):
        plaintext.append(ord(known_prefix[i]))
    
    # 解密剩余部分
    for i in range(len(known_prefix), len(ciphertext_bytes)):
        next_char = plaintext[i - 1] ^ ciphertext_bytes[i - 1]
        plaintext.append(next_char)
    
    # 转换为字符串
    flag = ''.join(chr(c) for c in plaintext)
    return flag

# 给定的密文
ciphertext_hex = "110d190e122a7442312b2500070c163927210300280d2720262c19000c3b0439221952440d"

# 解密并打印 flag
flag = decrypt_flag(ciphertext_hex)
print("Flag:", flag)

运行得到

最后flag为

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palu{iC7uDoJJMAWnIhkkCNiIoCZZVmiPrk9}

轮回密码

题目描述：

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在佛经残卷中发现神秘密文，据传加密者用"六道轮回"之法将真言藏于时空循环中。

下载附件

encode.py

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import base64


def samsara_encrypt(text, key_word):
    cycle_step = len(key_word) % 6 + 1

    phase1 = bytes([(c >> cycle_step) | ((c << (8 - cycle_step)) & 0xFF) for c in text])

    phase2 = base64.b85encode(phase1)

    phase3 = bytes([(c >> cycle_step) | ((c << (8 - cycle_step)) & 0xFF) for c in phase2])

    return bytes([phase3[i] ^ key_word[i % len(key_word)] for i in range(len(phase3))])


if __name__ == "__main__":
    flag = b"palu{********}"  # 可替换flag
    key = b""
    cipher = samsara_encrypt(flag, key)

    # 修复点：使用latin-1编码处理二进制数据
    print("轮回密文:", cipher.decode('latin-1'))  # 输出示例：¨×èÄÅÉØÛÚ

flag.txt

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轮回密文: y¦_›6>X¬y–!,!n¡mSaÜñüë—9¼6™

exp:

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import base64

def rotate_right(byte, step):
    return ((byte >> step) | ((byte << (8 - step)) & 0xFF)) & 0xFF

def rotate_left(byte, step):
    return ((byte << step) | (byte >> (8 - step))) & 0xFF

def samsara_decrypt(cipher, key_word):
    cycle_step = len(key_word) % 6 + 1

    # 逆向异或
    phase3 = bytes([cipher[i] ^ key_word[i % len(key_word)] for i in range(len(cipher))])

    # 逆向循环位移
    phase2 = bytes([rotate_left(c, cycle_step) for c in phase3])

    # Base85 解码（处理可能的填充问题）
    try:
        phase1 = base64.b85decode(phase2)
    except Exception as e:
        print("Base85 解码失败:", e)
        return None

    # 逆向循环位移
    plain = bytes([rotate_left(c, cycle_step) for c in phase1])
    return plain

if __name__ == "__main__":
    cipher_bytes = b"y\xa6\x81_\x9b6\x19>X\xacy\x96!,!n\xa1mS\x1fa\xdc\xf1\xfc\xeb\x15\x18\x979\xbc\x116\x99\r"
    key = b"Bore"
    
    flag = samsara_decrypt(cipher_bytes, key)
    if flag:
        print("解密结果:", flag.decode())

运行得到

最后flag为

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palu{reincarnation_cipher}

RSA_Quartic_Quandary

题目描述：

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简单的RSA

下载附件

generate.py

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from Crypto.Util.number import getPrime, bytes_to_long
import math

FLAG = b'**************'


def generate_parameters(bit_length=512):
    p = getPrime(bit_length)
    q = getPrime(bit_length)
    n = p * q
    e = 65537
    phi = (p - 1) * (q - 1)
    d = pow(e, -1, phi)
    s = p ** 4 + q ** 4
    return n, e, d, s, p, q


def main():
    n, e, d, s, p, q = generate_parameters()
    c = pow(bytes_to_long(FLAG), e, n)

    with open('output.txt', 'w') as f:
        f.write(f"n = {n}\n")
        f.write(f"e = {e}\n")
        f.write(f"c = {c}\n")
        f.write(f"s = {s}\n")

    print("[+] Parameters saved to output.txt")


if __name__ == "__main__":
    main()

output.txt

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n = 125997816345753096048865891139073286898143461169514858050232837657906289840897974068391106608902082960171083817785532702158298589600947834699494234633846206712414663927142998976208173208829799860130354978308649020815886262453865196867390105038666506017720712272359417586671917060323891124382072599746305448903
e = 65537
c = 16076213508704830809521504161524867240789661063230251272973700316524961511842110066547743812160813341691286895800830395413052502516451815705610447484880112548934311914559776633140762863945819054432492392315491109745915225117227073045171062365772401296382778452901831550773993089344837645958797206220200272941
s = 35935569267272146368441512592153486419244649035623643902985220815940198358146024590300394059909370115858091217597774010493938674472746828352595432824315405933241792789402041405932624651226442192749572918686958461029988244396875361295785103356745756304497466567342796329331150560777052588294638069488836419744297241409127729615544668547101580333420563318486256358906310909703237944327684178950282413703357020770127158209107658407007489563388980582632159120621869165333921661377997970334407786581024278698231418756106787058054355713472306409772260619117725561889350862414726861327985706773512963177174611689685575805282

exp:

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import math
from gmpy2 import iroot
from Crypto.Util.number import inverse, long_to_bytes

def recover_primes(s, n):
    # 1. 计算 p^2 + q^2 = T
    A = s + 2 * n * n
    T = iroot(A, 2)[0]
    assert T * T == A, "T is not a perfect square"

    # 2. 计算 p + q = S
    B = T + 2 * n
    S = iroot(B, 2)[0]
    assert S * S == B, "S is not a perfect square"

    # 3. 计算 |p - q| = D
    D2 = S * S - 4 * n
    D = iroot(D2, 2)[0]
    assert D * D == D2, "D is not a perfect square"

    # 4. 恢复 p 和 q
    p = (S + D) // 2
    q = (S - D) // 2
    assert p * q == n, "p and q are incorrect"
    return p, q

# 给定参数
s = 35935569267272146368441512592153486419244649035623643902985220815940198358146024590300394059909370115858091217597774010493938674472746828352595432824315405933241792789402041405932624651226442192749572918686958461029988244396875361295785103356745756304497466567342796329331150560777052588294638069488836419744297241409127729615544668547101580333420563318486256358906310909703237944327684178950282413703357020770127158209107658407007489563388980582632159120621869165333921661377997970334407786581024278698231418756106787058054355713472306409772260619117725561889350862414726861327985706773512963177174611689685575805282
n = 125997816345753096048865891139073286898143461169514858050232837657906289840897974068391106608902082960171083817785532702158298589600947834699494234633846206712414663927142998976208173208829799860130354978308649020815886262453865196867390105038666506017720712272359417586671917060323891124382072599746305448903
e = 65537
c = 16076213508704830809521504161524867240789661063230251272973700316524961511842110066547743812160813341691286895800830395413052502516451815705610447484880112548934311914559776633140762863945819054432492392315491109745915225117227073045171062365772401296382778452901831550773993089344837645958797206220200272941

# 恢复 p 和 q
p, q = recover_primes(s, n)

# RSA 解密
phi = (p - 1) * (q - 1)
d = inverse(e, phi)
plaintext = pow(c, d, n)
print(long_to_bytes(plaintext))

运行得到

最后flag为

1
palu{This_is_a_fake_flag_change_it_for_real_use}

欧几里得

题目描述：

1
你知道欧几里得是谁吗？

下载附件

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import random
import os
from Crypto.Util.number import *
from gmpy2 import lcm, gcd
def exgcd(a, b):
    if b == 0: return 1, 0
    x, y = exgcd(b, a%b)
    return y, x - a//b*y


def get_k():
    while True:
        p = getPrime(512)
        q = getPrime(512)
        phi = (p - 1) * (q - 1)
        if gcd(p * q, phi) == 1:
            break
    n = p * q
    while True:
        g = random.randint(1, n * n)
        if gcd((g - 1) // n, n) == 1:
            break
    return (n, g), (p, q)


def Paillier_encode(m, g, n):
    while True:
        r = random.randint(1, n - 1)
        if gcd(r, n) == 1:
            break
    return (pow(g, m, n * n) * pow(r, n, n * n)) % (n * n)


def Paillier_decode(c, p, q, g, n):
    lam = lcm(p - 1, q - 1)
    mi = exgcd((pow(g, lam, n * n) - 1) // n, n)[0] % n
    return (pow(c, lam, n * n) - 1) // n * mi % n


pk, sk = get_k()
n, g = pk
p, q = sk
m1 = bytes_to_long(flag)
m2 = bytes_to_long(os.urandom(2) * 35)
c1 = Paillier_encode(m1, g, n)
c2 = Paillier_encode(m2, g, n)
print(f'c = {Paillier_decode(c1 * c2, p, q, g, n)}')

# c = 1426774899479339414711783875769670405758108494041927642533743607154735397076811133205075799614352194241060726689487117802867974494099614371033282640015883625484033889861

exp：

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import itertools
from Crypto.Util.number import long_to_bytes

c = 1426774899479339414711783875769670405758108494041927642533743607154735397076811133205075799614352194241060726689487117802867974494099614371033282640015883625484033889861

# 计算m2的系数 (1 + 256^2 + 256^4 + ... + 256^68)
coeff = sum(256 ** (2 * i) for i in range(35))

# 暴力破解m2
for m2_part in range(65536):  # 遍历所有2字节的可能值
    m2 = m2_part * coeff
    if m2 > c:  # 确保m2不会大于c
        continue
    m1 = c - m2
    flag = long_to_bytes(m1)
    
    # 检查flag格式
    try:
        flag_str = flag.decode()
        if flag_str.startswith('palu{') and flag_str.endswith('}'):
            print(f"Found flag: {flag_str}")
            print(f"m2_part: {hex(m2_part)}")
            break
    except UnicodeDecodeError:
        continue

运行得到

易如反掌

题目描述：

1
有办法获得e吗？

下载附件

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import gmpy2
from Crypto.Util.number import getPrime
import hashlib

primes = [(getPrime(1024), getPrime(1024)) for _ in range(4)]
N = [p * q for p, q in primes]
PHI = [(p**2 - 1) * (q**2 - 1) for p, q in primes]
d = getPrime(800)
flag = "palu{" + hashlib.md5(str(d)[].encode()).hexdigest() + "}"
E = [int(gmpy2.invert(d, PHI[i])) for i in range(4)]
print(N)
print(E)
# [23796646026878116589547283793150995927866567938335548416869023482791889761195291718895745055959853934513618760888513821480917766191633897946306199721200583177442944168533218236080466338723721813833112934172813408785753690869328477108925253250272864647989241887047368829689684698870160049332949549671046125158024445929082758264311584669347802324514633164611600348485747482925940752960745308927584754759033237553398957651216385369140164712159020014009858771182426893515016507774993840721603911101735647966838456333878426803669855790758035721418868768618171692143354466457771363078719423863861881209003100274869680348729, 19552522218179875003847447592795537408210008360038264050591506858077823059915495579150792312404199675077331435544143983146080988327453540449160493126531689234464110427289951139790715136775261122038034076109559997394039408007831367922647325571759843192843854522333120187643778356206039403073606561618190519937691323868253954852564110558105862497499849080112804340364976236598384571278659796189204447521325485338769935361453819608921520780103184296098278610439625935404967972315908808657494638735904210709873823527111315139018387713381604550946445856087746716671838144925662314348628830687634437271225081272705532826343, 20588310030910623387356293638800302031856407530120841616298227518984893505166480372963166394317326422544430837759332223527939420321960057410073228508230111170414845403161052128790464277007579491219950440477721075788978767309211469555824310913593208232853272958011299985202799390532181335087622499894389777412111445377637396650710486263652440053717323053536700098339137819966260269752816515681602936416736576044630343136577023173210517247609888936337876211461528203642347119434700140264859102502126842250671976238033270367185358966766106988830596616311824691409766437473419074865115209866730272194297815209976737570183, 18468380817178794606027384089796802449939260582378979728469492439450780893746976934315768186829245395964644992296264093276556001477514083927556578752836255491334765496791841945178275793885002188397918857222419803612711637177559554489679414049308077300718317502586411333302434329130562745942681716547306138457088216901181646333860559988117376012816579422902808478175975263110581667936249474308868051767856694498210084853797453949193117835061402537058150493808371384063278793041752943930928932275052745657700368980150842377283198946138726219378646040515809994704174471793592322237777371900834531014326150160506449286179]
# [229904181453273080302209653709086531153804577507365859149808244958841045687064628362978517491609413507875726243121473678430010600891588643092042173698830147997497783886459583186019270582236955524620567373560535686287255124958954671737097645556109314142383275516997850786599322033792080045303427363366927030304214333894247469120513426641296678531965795930756543043851154646310114366477311633838078242963665452936523438928643273392454483600446242320078010627755587492056369779661382734170244060951095344418599686788550312205964136120979823565225768814898285224838691541122088693411388097496320157113230752327025862802020421665288007529320920942060329299409362236414929126050037144149017275031336018100081931062647888329912802477032857776085190828105602067426203163344931483638271679183910241511044338001446584634203146294743522375846913845041274967653508735863706778364499099286484552570083394223973734909997825522191349543295855925973354640349809770822075226834555111927586299176453943116511915434890643239957459427390624136283086434711471863737451011157026905191204496081860277138227247744470804087252965368757930797560277881668806206419629425126031049566579233056222579590529869798537893505779097868221221068867624660759084762471141, 374749619911728044650812367560174497001343067563440477135516664935394734686391543012901514676044211541958613458868769659861216149364768233000844624035620893309356372294598009760824255187442531508754966566917198975934706398309982525100772311586501118200858124845012643495006029930202324305874402291277845166060497038915773767003006049720519011634861166208163030159519901867416488082395270295488885724507937683469910251316231210838654273986152493722244271430422693265608430755620420680629979226285393465423870727975987787149515374769359243334743541460110042872587610309611770320600248289328406805995688596910226273861759369388105641549933915686192055533242723330981192183310876306968103333706140401422550917946410378174896274789619184565321544130428008804628699594759946577979319393247067750024729672029363433673084437510430506410293512293930056667971242862448029841846596288648691077795207341975907335202945548990662460491169957175452745622341245617265849042542964819126377775749222973138584978725470886059043251544634105653274564085280013340679259157119014619894553239015777411757887293044706448625760604242512494466386343040583010961386979963779928616733980046763291988848903515836247301007113187121999960487508948748354549628160741, 111738429639840672983162926852338651562094139707285850255632987705635459657893186493838711733560515475806567653354737245246745810892238414756414117557971683747269900627524702653772058841085258035513296218047505149691384287812041721130367506731427022265277885965948486359682023555050085264531256406043361391744086539522028829421284667293339869140564699750714145488199268791908205712660933607330454849730499840287271163350865799682565216636393526339218836244889719975150503253630419647851422620890082315396457329065508602521784001607236788620811397449483104884860551374031790663030220424841642241965983726516537123807061999084476076850833658360594525986997125319941689903869138176347916707622148840226672408554102717625456819726220575710494929111642866840516339713870850732638906870325693572445316904688582043485093120585767903009745325497085286577015692005747499504730575062998090846463157669448943725039951120963375521054164657547731579771203443617489609201617736584055562887243883898406182052632245189418568410854530995044542628531851356363297989653392057214167031332353949367816700838296651167799441279086074308299608106786918676697564002641234952760724731325383088682051108589283162705846714876543662335188222683115878319143239781, 185935167438248768027713217055147583431480103445262049361952417166499278728434926508937684304985810617277398880507451351333771783039360671467147075085417403764439214700549777320094501151755362122677245586884124615115132430034242191429064710012407308619977881929109092467325180864745257810774684549914888829203014922855369708286801194645263982661023515570231007900615244109762444081806466412714045462184361892356485713147687194230341085490571821445962465385514845915484336766973332384198790601633964078447446832581798146300515184339036127604597014458389481920870330726947546808739829589808006774479656385317205167932706748974482578749055876192429032258189528408353619365693624106394913101463023497175917598944803733849984703912670992613579847331081015979121834040110652608301633876167262248103403520536210279949844194696898862249482809107840303473964914083996538912970715834110371196970613332286296427286356036576876121010776933023901744994067564045429384172315640135483480089769992730928266885675143187679290648773060781987273082229827156531141515679114580622348238382074084270808291251400949744720804368426414308355267344210055608246286737478682527960260877955900464059404976906697164610891962198768354924180929300959036213841843941]

连分数攻击

exp：

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import gmpy2
import hashlib

N_list = [
    23796646026878116589547283793150995927866567938335548416869023482791889761195291718895745055959853934513618760888513821480917766191633897946306199721200583177442944168533218236080466338723721813833112934172813408785753690869328477108925253250272864647989241887047368829689684698870160049332949549671046125158024445929082758264311584669347802324514633164611600348485747482925940752960745308927584754759033237553398957651216385369140164712159020014009858771182426893515016507774993840721603911101735647966838456333878426803669855790758035721418868768618171692143354466457771363078719423863861881209003100274869680348729,
    19552522218179875003847447592795537408210008360038264050591506858077823059915495579150792312404199675077331435544143983146080988327453540449160493126531689234464110427289951139790715136775261122038034076109559997394039408007831367922647325571759843192843854522333120187643778356206039403073606561618190519937691323868253954852564110558105862497499849080112804340364976236598384571278659796189204447521325485338769935361453819608921520780103184296098278610439625935404967972315908808657494638735904210709873823527111315139018387713381604550946445856087746716671838144925662314348628830687634437271225081272705532826343,
    20588310030910623387356293638800302031856407530120841616298227518984893505166480372963166394317326422544430837759332223527939420321960057410073228508230111170414845403161052128790464277007579491219950440477721075788978767309211469555824310913593208232853272958011299985202799390532181335087622499894389777412111445377637396650710486263652440053717323053536700098339137819966260269752816515681602936416736576044630343136577023173210517247609888936337876211461528203642347119434700140264859102502126842250671976238033270367185358966766106988830596616311824691409766437473419074865115209866730272194297815209976737570183,
    18468380817178794606027384089796802449939260582378979728469492439450780893746976934315768186829245395964644992296264093276556001477514083927556578752836255491334765496791841945178275793885002188397918857222419803612711637177559554489679414049308077300718317502586411333302434329130562745942681716547306138457088216901181646333860559988117376012816579422902808478175975263110581667936249474308868051767856694498210084853797453949193117835061402537058150493808371384063278793041752943930928932275052745657700368980150842377283198946138726219378646040515809994704174471793592322237777371900834531014326150160506449286179
]
E_list = [
    229904181453273080302209653709086531153804577507365859149808244958841045687064628362978517491609413507875726243121473678430010600891588643092042173698830147997497783886459583186019270582236955524620567373560535686287255124958954671737097645556109314142383275516997850786599322033792080045303427363366927030304214333894247469120513426641296678531965795930756543043851154646310114366477311633838078242963665452936523438928643273392454483600446242320078010627755587492056369779661382734170244060951095344418599686788550312205964136120979823565225768814898285224838691541122088693411388097496320157113230752327025862802020421665288007529320920942060329299409362236414929126050037144149017275031336018100081931062647888329912802477032857776085190828105602067426203163344931483638271679183910241511044338001446584634203146294743522375846913845041274967653508735863706778364499099286484552570083394223973734909997825522191349543295855925973354640349809770822075226834555111927586299176453943116511915434890643239957459427390624136283086434711471863737451011157026905191204496081860277138227247744470804087252965368757930797560277881668806206419629425126031049566579233056222579590529869798537893505779097868221221068867624660759084762471141,
    374749619911728044650812367560174497001343067563440477135516664935394734686391543012901514676044211541958613458868769659861216149364768233000844624035620893309356372294598009760824255187442531508754966566917198975934706398309982525100772311586501118200858124845012643495006029930202324305874402291277845166060497038915773767003006049720519011634861166208163030159519901867416488082395270295488885724507937683469910251316231210838654273986152493722244271430422693265608430755620420680629979226285393465423870727975987787149515374769359243334743541460110042872587610309611770320600248289328406805995688596910226273861759369388105641549933915686192055533242723330981192183310876306968103333706140401422550917946410378174896274789619184565321544130428008804628699594759946577979319393247067750024729672029363433673084437510430506410293512293930056667971242862448029841846596288648691077795207341975907335202945548990662460491169957175452745622341245617265849042542964819126377775749222973138584978725470886059043251544634105653274564085280013340679259157119014619894553239015777411757887293044706448625760604242512494466386343040583010961386979963779928616733980046763291988848903515836247301007113187121999960487508948748354549628160741,
    111738429639840672983162926852338651562094139707285850255632987705635459657893186493838711733560515475806567653354737245246745810892238414756414117557971683747269900627524702653772058841085258035513296218047505149691384287812041721130367506731427022265277885965948486359682023555050085264531256406043361391744086539522028829421284667293339869140564699750714145488199268791908205712660933607330454849730499840287271163350865799682565216636393526339218836244889719975150503253630419647851422620890082315396457329065508602521784001607236788620811397449483104884860551374031790663030220424841642241965983726516537123807061999084476076850833658360594525986997125319941689903869138176347916707622148840226672408554102717625456819726220575710494929111642866840516339713870850732638906870325693572445316904688582043485093120585767903009745325497085286577015692005747499504730575062998090846463157669448943725039951120963375521054164657547731579771203443617489609201617736584055562887243883898406182052632245189418568410854530995044542628531851356363297989653392057214167031332353949367816700838296651167799441279086074308299608106786918676697564002641234952760724731325383088682051108589283162705846714876543662335188222683115878319143239781,
    185935167438248768027713217055147583431480103445262049361952417166499278728434926508937684304985810617277398880507451351333771783039360671467147075085417403764439214700549777320094501151755362122677245586884124615115132430034242191429064710012407308619977881929109092467325180864745257810774684549914888829203014922855369708286801194645263982661023515570231007900615244109762444081806466412714045462184361892356485713147687194230341085490571821445962465385514845915484336766973332384198790601633964078447446832581798146300515184339036127604597014458389481920870330726947546808739829589808006774479656385317205167932706748974482578749055876192429032258189528408353619365693624106394913101463023497175917598944803733849984703912670992613579847331081015979121834040110652608301633876167262248103040352053621027994984419469689886224948280910784030347396491408399653891297071583411037119697061333228629642728635603657687121010776933023901744994067564045429384172315640135483480089769992730928266885675143187679290648773060781987273082229827156531141515679114580622348238382074084270808291251400949744720804368426414308355267344210055608246286737478682527960260877955900464059404976906697164610891962198768354924180929300959036213841843941
]

def get_convergents_pq(x, y):
    P_m2, P_m1 = 0, 1
    Q_m2, Q_m1 = 1, 0
    temp_x, temp_y = x, y
    while temp_y != 0:
        a = temp_x // temp_y
        P = a * P_m1 + P_m2
        Q = a * Q_m1 + Q_m2
        yield (P, Q)
        P_m2, P_m1 = P_m1, P
        Q_m2, Q_m1 = Q_m1, Q
        temp_x, temp_y = temp_y, temp_x % temp_y

N0 = N_list[0]
E0 = E_list[0]
M0 = N0 * N0
found_d = None

print(f"Calculating convergents for E0 / (N0^2)")
for k_candidate, d_candidate in get_convergents_pq(E0, M0):
    if d_candidate == 0:
        continue
    if d_candidate.bit_length() > 800:
        break
    if d_candidate.bit_length() == 800:
        if gmpy2.is_prime(d_candidate):
            print(f"Prime candidate d found: {d_candidate}")
            found_d = d_candidate
            break

if found_d:
    print(f"\nSuccessfully found d: {found_d}")
    d_str = str(found_d)
    md5_hash = hashlib.md5(d_str.encode('utf-8')).hexdigest()
    flag = "palu{" + md5_hash + "}"
    print(f"The flag is: {flag}")
else:
    print("\nCould not find d matching the criteria.")

运行得到

最后flag为

1
palu{b1fc01a38bae760451bcffe777e51b1d}
文章作者: yiqing
文章链接: http://yiqing.asia/posts/30912.html
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