Reverse Engineering
Challenge
Link
Everlasting_Message (250 pts)
prism_messenger (358 pts)
LACUCARA_VM (805 pts)
Everlasting_Message (250 pts)
Description
-
Solution
TBU
prism_messenger (358 pts)
Description
-
Solution
TBU
LACUCARA_VM (805 pts)
Description
-
Solution
def print_hex(arr):
tmp = []
for i in arr:
tmp.append(hex(i))
print(tmp)
rol = lambda val, r_bits, max_bits: \
(val << r_bits%max_bits) & (2**max_bits-1) | \
((val & (2**max_bits-1)) >> (max_bits-(r_bits%max_bits)))
ror = lambda val, r_bits, max_bits: \
((val & (2**max_bits-1)) >> r_bits%max_bits) | \
(val << (max_bits-(r_bits%max_bits)) & (2**max_bits-1))
mask = 2**32 -1
# key = [0x0b07bbe1, 0x0407edb8]
key = [0x7F78E2E4, 0xD219BB1F]
# inp = [0x38396162, 0x63646566]
inp = [0x4b4f534f, 0x4e47424c]
sbox1 = [0x43415241, 0x4c414355]
# inp = [0x30313233, 0x34353637]
print_hex(inp)
tmp1 = []
for i in range(len(key)):
tmp1.append(key[i] ^ sbox1[i] ^ inp[i])
dict1 = {}
dict1[0x9] = 0xc
dict1[0x8] = 0xf
dict1[0xd] = 0x0
dict1[0x8] = 0xf
dict1[0xb] = 0xa
dict1[0xa] = 0x9
dict1[0x3] = 0x1
dict1[0x7] = 0xd
dict1[0xc] = 0x3
dict1[0x2] = 0x2
dict1[0xf] = 0x6
dict1[0x0] = 0x4
dict1[0x6] = 0xe
dict1[0x5] = 0xb
dict1[0x1] = 0x7
dict1[0xe] = 0x5
dict1[0x4] = 0x8
dict2 = {}
dict2[0xc] = 0x9
dict2[0xf] = 0x8
dict2[0x0] = 0xd
dict2[0xf] = 0x8
dict2[0xa] = 0xb
dict2[0x9] = 0xa
dict2[0x1] = 0x3
dict2[0xd] = 0x7
dict2[0x3] = 0xc
dict2[0x2] = 0x2
dict2[0x6] = 0xf
dict2[0x4] = 0x0
dict2[0xe] = 0x6
dict2[0xb] = 0x5
dict2[0x7] = 0x1
dict2[0x5] = 0xe
dict2[0x8] = 0x4
xor_val1 = [0x3707344, 0x299f31d0, 0xec4e6c89, 0x38d01377, 0x34e90c6c, 0]
xor_val2 = [0x13198a2e, 0xa4093822, 0x82efa98, 0x452821e6, 0xbe5466cf, 0]
for y in range(5):
# print_hex(tmp1)
result1 = 0
for i in range(8):
tmp2 = (tmp1[1] >> (4 * i)) | ((tmp1[0] << (32 - 4 * i)) & mask)
index = tmp2 & 0xf
result1 |= (dict1[index] << (4 * i))
result2 = 0
for i in range(8):
tmp2 = tmp1[0] >> (i * 4)
index = tmp2 & 0xf
result2 |= (dict1[index] << (4 * i))
# print("input", hex(result1), hex(result2))
first_block = [result2 >> 0x10, ((result1 << 0x10) & mask) >> 0x10]
second_block = [((result2 << 0x10) & mask) >> 0x10, result1 >> 0x10]
arr2 = []
for x in range(2):
tmp2 = first_block[x]
arr1 = [0]
for i in range(1, 0x10):
arr1.append(tmp2 >> i)
result3 = tmp2
var1 = arr1[0x8] ^ arr1[0xc]
var2 = arr1[0xb] ^ arr1[0xf]
var3 = arr1[0x7] ^ arr1[0xb]
var4 = arr1[0x4] ^ arr1[0x8]
var5 = arr1[0xa] ^ arr1[0xe]
result3 ^= var4
var6 = arr1[0x6] ^ arr1[0xe]
var7 = arr1[0x3] ^ var3
var8 = arr1[0x2] ^ var6
var9 = arr1[0x9] ^ arr1[0xd]
var10 = arr1[0x1] ^ var9
var11 = arr1[0x4] ^ var1
var12 = arr1[0x7] ^ var2
var13 = arr1[0x2] ^ arr1[0x6]
var14 = var13 ^ arr1[0xa]
var15 = var1 ^ tmp2
var16 = arr1[0xd] ^ arr1[0x1]
var17 = arr1[0x5] ^ var16
var18 = var2 ^ arr1[0x3]
var19 = var5 ^ arr1[0x6]
var20 = arr1[0x1] ^ arr1[0x9] ^ arr1[0x5]
var21 = arr1[0x4] ^ arr1[0xc] ^ tmp2
var22 = arr1[0x3] ^ arr1[0x7] ^ arr1[0xf]
var23 = var5 ^ arr1[0x2]
var24 = arr1[0x5] ^ var9
result4 = (result3 & 0x1)
result4 |= (var7 << 0xf)
result4 |= (var8 << 0xe) & 0x4000
result4 |= (var10 << 0xd) & 0x2000
result4 |= (var11 << 0xc) & 0x1000
result4 |= (var12 << 0xb) & 0x800
result4 |= (var14 << 0xa) & 0x400
result4 |= (var17 << 0x9) & 0x200
result4 |= (var15 << 0x8) & 0x100
result4 |= (var18 << 0x7) & 0xff
result4 |= (var19 << 0x6) & 0x40
result4 |= (var20 << 0x5) & 0x20
result4 |= (var21 << 0x4) & 0x10
result4 |= (var22 << 0x3) & 0x8
result4 |= (var23 << 0x2) & 0x4
result4 |= (var24 << 0x1) & 0x2
result5 = ((result4 << 0x10) & mask) >> 0x10
# print(hex(result4))
tmp2 = second_block[x]
arr1 = [0]
# print("pt", hex(tmp2))
for i in range(1, 0x10):
arr1.append(tmp2 >> i)
var1 = arr1[0x8] ^ arr1[0xc]
var2 = arr1[0xb] ^ arr1[0xf]
var3 = arr1[0xe] ^ arr1[0xa]
var4 = arr1[0x7] ^ var2
var5 = arr1[0x4] ^ var1
var6 = arr1[0x6] ^ arr1[0xa]
var7 = var6 ^ arr1[0x2]
var8 = arr1[0x9] ^ arr1[0xd]
var9 = arr1[0x5] ^ arr1[0xd]
var10 = var9 ^ arr1[0x1]
var11 = tmp2 ^ var1
var12 = arr1[0x3] ^ var2
var13 = var3 ^ arr1[0x6]
var14 = arr1[0x1] ^ arr1[0x5]
var15 = var14 ^ arr1[0x9]
var16 = arr1[0x4] ^ arr1[0xc]
var17 = var16 ^ tmp2
var18 = arr1[0x7] ^ arr1[0xf]
var19 = var18 ^ arr1[0x3]
var20 = var3 ^ arr1[0x2]
var21 = var8 ^ arr1[0x5]
var22 = arr1[0x4] ^ arr1[0x8]
var23 = var22 ^ tmp2
var24 = arr1[0x7] ^ arr1[0xb]
var25 = var24 ^ arr1[0x3]
var26 = arr1[0x2] ^ arr1[0x6]
var27 = var26 ^ arr1[0xe]
var28 = var8 ^ arr1[0x1]
result4 = (var5 & 0x1)
result4 |= (var4 << 0xf)
result4 |= (var7 << 0xe) & 0x4000
result4 |= (var10 << 0xd) & 0x2000
result4 |= (var11 << 0xc) & 0x1000
result4 |= (var12 << 0xb) & 0x800
result4 |= (var13 << 0xa) & 0x400
result4 |= (var15 << 0x9) & 0x200
result4 |= (var17 << 0x8) & 0x100
result4 |= (var19 << 0x7) & 0xff
result4 |= (var20 << 0x6) & 0x40
result4 |= (var21 << 0x5) & 0x20
result4 |= (var23 << 0x4) & 0x10
result4 |= (var25 << 0x3) & 0x8
result4 |= (var27 << 0x2) & 0x4
result4 |= (var28 << 0x1) & 0x2
result6 = ((result4 << 0x10) & mask) >> 0x10
arr2.append(result5)
arr2.append(result6)
ct1 = (arr2[3] << 0x10) | arr2[2]
ct2 = (arr2[0] << 0x10) | arr2[1]
var1 = ct2 >> 0x1c
var2 = (var1 << 0x14) & mask
var3 = ct2 >> 0x18
var4 = var3 & 0xf
var5 = ct2 >> 0x4
var6 = (var5 << 0x1c) & mask
var7 = var6 | var2
var8 = (ct1 << 0x8) & mask
var9 = var8 & 0xf00
var10 = var7 | var9
var11 = ct2 >> 0x8
var12 = var11 & 0xf000
var13 = var4 | var12
var14 = (ct2 << 0x8) & mask
var15 = var14 & 0xf000000
var16 = var15 | var13
var17 = var10 | ((ct2 >> 0x8) & 0xf0)
var18 = var17 | (((ct2 << 0x8) & mask) & 0xf0000)
var19 = var16 | ((ct2 << 0x8) & 0xf00)
var20 = (ct2 << 0x4) & mask
var21 = ct1 >> 0x1c
var22 = var20 | var21
var23 = var19 | (((var22 << 0x14) & mask) & 0xf00000)
var24 = var18 | ((ct1 >> 0x18) & 0xf)
var25 = (ct2 << 0xc) & mask
var26 = (ct1 >> 0x14) | var25
var27 = var24 | ((var26 << 0xc) & 0xf000)
var28 = ((ct1 << 0x8) & mask) & 0xf000000
var29 = var23 | ((ct1 >> 0x8) & 0xf0)
var30 = var29 | (((ct1 << 0x8) & mask) & 0xf0000)
var31 = ((ct1 >> 0x4) << 0x1c) & mask
var32 = var30 | var31
var33 = var27 | var28
# print("result", hex(var32), hex(var33))
tmp1[1] = var32 ^ 0x4c414355 ^ xor_val1[y]
tmp1[0] = var33 ^ 0x43415241 ^ xor_val2[y]
# separator
for y in range(1):
# print_hex(tmp1)
result1 = 0
for i in range(8):
tmp2 = (tmp1[1] >> (4 * i)) | ((tmp1[0] << (32 - 4 * i)) & mask)
index = tmp2 & 0xf
result1 |= (dict1[index] << (4 * i))
result2 = 0
for i in range(8):
tmp2 = tmp1[0] >> (i * 4)
index = tmp2 & 0xf
result2 |= (dict1[index] << (4 * i))
# print("input", hex(result1), hex(result2))
# correct
first_block = [result2 >> 0x10, ((result1 << 0x10) & mask) >> 0x10]
second_block = [((result2 << 0x10) & mask) >> 0x10, result1 >> 0x10]
arr2 = []
for x in range(2):
tmp2 = first_block[x]
arr1 = [0]
for i in range(1, 0x10):
arr1.append(tmp2 >> i)
result3 = tmp2
var1 = arr1[0x8] ^ arr1[0xc]
var2 = arr1[0xb] ^ arr1[0xf]
var3 = arr1[0x7] ^ arr1[0xb]
var4 = arr1[0x4] ^ arr1[0x8]
var5 = arr1[0xa] ^ arr1[0xe]
result3 ^= var4
var6 = arr1[0x6] ^ arr1[0xe]
var7 = arr1[0x3] ^ var3
var8 = arr1[0x2] ^ var6
var9 = arr1[0x9] ^ arr1[0xd]
var10 = arr1[0x1] ^ var9
var11 = arr1[0x4] ^ var1
var12 = arr1[0x7] ^ var2
var13 = arr1[0x2] ^ arr1[0x6]
var14 = var13 ^ arr1[0xa]
var15 = var1 ^ tmp2
var16 = arr1[0xd] ^ arr1[0x1]
var17 = arr1[0x5] ^ var16
var18 = var2 ^ arr1[0x3]
var19 = var5 ^ arr1[0x6]
var20 = arr1[0x1] ^ arr1[0x9] ^ arr1[0x5]
var21 = arr1[0x4] ^ arr1[0xc] ^ tmp2
var22 = arr1[0x3] ^ arr1[0x7] ^ arr1[0xf]
var23 = var5 ^ arr1[0x2]
var24 = arr1[0x5] ^ var9
result4 = (result3 & 0x1)
result4 |= (var7 << 0xf)
result4 |= (var8 << 0xe) & 0x4000
result4 |= (var10 << 0xd) & 0x2000
result4 |= (var11 << 0xc) & 0x1000
result4 |= (var12 << 0xb) & 0x800
result4 |= (var14 << 0xa) & 0x400
result4 |= (var17 << 0x9) & 0x200
result4 |= (var15 << 0x8) & 0x100
result4 |= (var18 << 0x7) & 0xff
result4 |= (var19 << 0x6) & 0x40
result4 |= (var20 << 0x5) & 0x20
result4 |= (var21 << 0x4) & 0x10
result4 |= (var22 << 0x3) & 0x8
result4 |= (var23 << 0x2) & 0x4
result4 |= (var24 << 0x1) & 0x2
result5 = ((result4 << 0x10) & mask) >> 0x10
# print(hex(result4))
tmp2 = second_block[x]
arr1 = [0]
# print("pt", hex(tmp2))
for i in range(1, 0x10):
arr1.append(tmp2 >> i)
var1 = arr1[0x8] ^ arr1[0xc]
var2 = arr1[0xb] ^ arr1[0xf]
var3 = arr1[0xe] ^ arr1[0xa]
var4 = arr1[0x7] ^ var2
var5 = arr1[0x4] ^ var1
var6 = arr1[0x6] ^ arr1[0xa]
var7 = var6 ^ arr1[0x2]
var8 = arr1[0x9] ^ arr1[0xd]
var9 = arr1[0x5] ^ arr1[0xd]
var10 = var9 ^ arr1[0x1]
var11 = tmp2 ^ var1
var12 = arr1[0x3] ^ var2
var13 = var3 ^ arr1[0x6]
var14 = arr1[0x1] ^ arr1[0x5]
var15 = var14 ^ arr1[0x9]
var16 = arr1[0x4] ^ arr1[0xc]
var17 = var16 ^ tmp2
var18 = arr1[0x7] ^ arr1[0xf]
var19 = var18 ^ arr1[0x3]
var20 = var3 ^ arr1[0x2]
var21 = var8 ^ arr1[0x5]
var22 = arr1[0x4] ^ arr1[0x8]
var23 = var22 ^ tmp2
var24 = arr1[0x7] ^ arr1[0xb]
var25 = var24 ^ arr1[0x3]
var26 = arr1[0x2] ^ arr1[0x6]
var27 = var26 ^ arr1[0xe]
var28 = var8 ^ arr1[0x1]
result4 = (var5 & 0x1)
result4 |= (var4 << 0xf)
result4 |= (var7 << 0xe) & 0x4000
result4 |= (var10 << 0xd) & 0x2000
result4 |= (var11 << 0xc) & 0x1000
result4 |= (var12 << 0xb) & 0x800
result4 |= (var13 << 0xa) & 0x400
result4 |= (var15 << 0x9) & 0x200
result4 |= (var17 << 0x8) & 0x100
result4 |= (var19 << 0x7) & 0xff
result4 |= (var20 << 0x6) & 0x40
result4 |= (var21 << 0x5) & 0x20
result4 |= (var23 << 0x4) & 0x10
result4 |= (var25 << 0x3) & 0x8
result4 |= (var27 << 0x2) & 0x4
result4 |= (var28 << 0x1) & 0x2
result6 = ((result4 << 0x10) & mask) >> 0x10
arr2.append(result5)
arr2.append(result6)
# correct
ct1 = (arr2[3] << 0x10) | arr2[2]
ct2 = (arr2[0] << 0x10) | arr2[1]
var7 = 0
var8 = 0
for j in range(8):
var2 = (ct1 >> (0x4 * j))
var3 = (ct2 << (32 - 0x4*j)) & mask
var4 = var2 | var3
var6 = 0x10 + (var4 & 0xf)
index = (var6 & 0xf)
var7 |= dict2[index] << (j*4)
for j in range(8):
var2 = (ct2 >> (0x4 * j))
var3 = (ct1 << (32 - 0x4*j)) & mask
var4 = var2 | var3
var6 = 0x10 + (var4 & 0xf)
index = (var6 & 0xf)
var8 |= dict2[index] << (j*4)
ct1 = (var7 ^ 0x4c414355 ^ 0xfd955cb1)
ct2 = (var8 ^ 0x43415241 ^ 0x7ef84f78)
xor_val3 = [0xf1ac43aa, 0x25323c54, 0xe0e3610d, 0xca0c2399, 0]
xor_val4 = [0x85840851, 0xc882d32f, 0x64a51195, 0xd3b5a399, 0]
for y in range(5):
# print("inp", hex(ct1), hex(ct2))
var1 = ct2 >> 0x1c
var2 = (var1 << 0x14) & mask
var5 = ct2 >> 0x4
var6 = (var5 << 0x1c) & mask
var7 = var6 | var2
var3 = (ct2 << 0x8) & mask
var4 = (ct1 >> 0x18) & 0xf
var8 = (ct2 >> 0x18)
var9 = ((ct1 << 0x8) & mask) & 0xf00
var10 = var4 | var9
var11 = var8 & 0xf
var12 = var7 | var11
var13 = (ct2 >> 0x8) & 0xf000
var14 = var13 | var10
var15 = var3 & 0xf000000
var16 = var12 | var15
var17 = var16 | ((ct2 >> 0x8) & 0xf0)
var18 = var14 | (var3 & 0xf0000)
var19 = var17 | (var3 & 0xf00)
var20 = (ct2 << 0x4)
var21 = (ct1 >> 0x1c)
var22 = var20 | var21
var23 = var18 | (((var22 << 0x14) & mask) & 0xf00000)
var24 = (ct2 << 0xc) & mask
var25 = (ct1 >> 0x14)
var26 = var24 | var25
var27 = var19 | ((var26 << 0xc) & 0xf000)
var28 = var23 | (((ct1 << 0x8) & mask) & 0xf000000)
var29 = var28 | ((ct1 >> 0x8) & 0xf0)
var30 = ((ct1 << 0x8) & mask) & 0xf0000
var31 = ((ct1 >> 0x4) << 0x1c) & mask
result1 = var29 | var31
result2 = var27 | var30
first_block = [result2 >> 0x10, ((result1 << 0x10) & mask) >> 0x10]
second_block = [((result2 << 0x10) & mask) >> 0x10, result1 >> 0x10]
arr2 = []
for x in range(2):
tmp2 = first_block[x]
arr1 = [0]
for i in range(1, 0x10):
arr1.append(tmp2 >> i)
result3 = tmp2
var1 = arr1[0x8] ^ arr1[0xc]
var2 = arr1[0xb] ^ arr1[0xf]
var3 = arr1[0x7] ^ arr1[0xb]
var4 = arr1[0x4] ^ arr1[0x8]
var5 = arr1[0xa] ^ arr1[0xe]
result3 ^= var4
var6 = arr1[0x6] ^ arr1[0xe]
var7 = arr1[0x3] ^ var3
var8 = arr1[0x2] ^ var6
var9 = arr1[0x9] ^ arr1[0xd]
var10 = arr1[0x1] ^ var9
var11 = arr1[0x4] ^ var1
var12 = arr1[0x7] ^ var2
var13 = arr1[0x2] ^ arr1[0x6]
var14 = var13 ^ arr1[0xa]
var15 = var1 ^ tmp2
var16 = arr1[0xd] ^ arr1[0x1]
var17 = arr1[0x5] ^ var16
var18 = var2 ^ arr1[0x3]
var19 = var5 ^ arr1[0x6]
var20 = arr1[0x1] ^ arr1[0x9] ^ arr1[0x5]
var21 = arr1[0x4] ^ arr1[0xc] ^ tmp2
var22 = arr1[0x3] ^ arr1[0x7] ^ arr1[0xf]
var23 = var5 ^ arr1[0x2]
var24 = arr1[0x5] ^ var9
result4 = (result3 & 0x1)
result4 |= (var7 << 0xf)
result4 |= (var8 << 0xe) & 0x4000
result4 |= (var10 << 0xd) & 0x2000
result4 |= (var11 << 0xc) & 0x1000
result4 |= (var12 << 0xb) & 0x800
result4 |= (var14 << 0xa) & 0x400
result4 |= (var17 << 0x9) & 0x200
result4 |= (var15 << 0x8) & 0x100
result4 |= (var18 << 0x7) & 0xff
result4 |= (var19 << 0x6) & 0x40
result4 |= (var20 << 0x5) & 0x20
result4 |= (var21 << 0x4) & 0x10
result4 |= (var22 << 0x3) & 0x8
result4 |= (var23 << 0x2) & 0x4
result4 |= (var24 << 0x1) & 0x2
result5 = ((result4 << 0x10) & mask) >> 0x10
# print(hex(result4))
tmp2 = second_block[x]
arr1 = [0]
# print("pt", hex(tmp2))
for i in range(1, 0x10):
arr1.append(tmp2 >> i)
var1 = arr1[0x8] ^ arr1[0xc]
var2 = arr1[0xb] ^ arr1[0xf]
var3 = arr1[0xe] ^ arr1[0xa]
var4 = arr1[0x7] ^ var2
var5 = arr1[0x4] ^ var1
var6 = arr1[0x6] ^ arr1[0xa]
var7 = var6 ^ arr1[0x2]
var8 = arr1[0x9] ^ arr1[0xd]
var9 = arr1[0x5] ^ arr1[0xd]
var10 = var9 ^ arr1[0x1]
var11 = tmp2 ^ var1
var12 = arr1[0x3] ^ var2
var13 = var3 ^ arr1[0x6]
var14 = arr1[0x1] ^ arr1[0x5]
var15 = var14 ^ arr1[0x9]
var16 = arr1[0x4] ^ arr1[0xc]
var17 = var16 ^ tmp2
var18 = arr1[0x7] ^ arr1[0xf]
var19 = var18 ^ arr1[0x3]
var20 = var3 ^ arr1[0x2]
var21 = var8 ^ arr1[0x5]
var22 = arr1[0x4] ^ arr1[0x8]
var23 = var22 ^ tmp2
var24 = arr1[0x7] ^ arr1[0xb]
var25 = var24 ^ arr1[0x3]
var26 = arr1[0x2] ^ arr1[0x6]
var27 = var26 ^ arr1[0xe]
var28 = var8 ^ arr1[0x1]
result4 = (var5 & 0x1)
result4 |= (var4 << 0xf)
result4 |= (var7 << 0xe) & 0x4000
result4 |= (var10 << 0xd) & 0x2000
result4 |= (var11 << 0xc) & 0x1000
result4 |= (var12 << 0xb) & 0x800
result4 |= (var13 << 0xa) & 0x400
result4 |= (var15 << 0x9) & 0x200
result4 |= (var17 << 0x8) & 0x100
result4 |= (var19 << 0x7) & 0xff
result4 |= (var20 << 0x6) & 0x40
result4 |= (var21 << 0x5) & 0x20
result4 |= (var23 << 0x4) & 0x10
result4 |= (var25 << 0x3) & 0x8
result4 |= (var27 << 0x2) & 0x4
result4 |= (var28 << 0x1) & 0x2
result6 = ((result4 << 0x10) & mask) >> 0x10
arr2.append(result5)
arr2.append(result6)
ct1 = (arr2[3] << 0x10) | arr2[2]
ct2 = (arr2[0] << 0x10) | arr2[1]
var7 = 0
var8 = 0
for j in range(8):
var2 = (ct1 >> (0x4 * j))
var3 = (ct2 << (32 - 0x4*j)) & mask
var4 = var2 | var3
var6 = 0x10 + (var4 & 0xf)
index = (var6 & 0xf)
var7 |= dict2[index] << (j*4)
for j in range(8):
var2 = (ct2 >> (0x4 * j))
var3 = (ct1 << (32 - 0x4*j)) & mask
var4 = var2 | var3
var6 = 0x10 + (var4 & 0xf)
index = (var6 & 0xf)
var8 |= dict2[index] << (j*4)
if y == 4:
var1 = (inp[0] << 0x1f) & mask
var2 = inp[1] >> 0x1
var3 = var2 | var1
var4 = (inp[1] << 0x1f) & mask
var5 = inp[0] >> 0x1
var6 = var5 | var4
print(hex(var3), hex(var6))
ct1 = var7 ^ 0x4c414355 ^ var3
ct2 = var8 ^ 0x43415241 ^ var6
else:
ct1 = var7 ^ 0x4c414355 ^ xor_val3[y]
ct2 = var8 ^ 0x43415241 ^ xor_val4[y]
ct1 ^= 0xc97c50dd
ct2 ^= 0xc0ac29b7
print(hex(ct1))
print(hex(ct2))
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