Rating: 4.0

# RedPwn Dimensionality Write Up

## Details:

Jeopardy style CTF

Category: Reverse Engineering

## Write up:

Looking into the main function I saw:

```c
__int64 __fastcall main(int a1, char **a2, char **a3)
{
int v3;
int v4;
_BYTE *v5;
char v6;
int v7;
__int8 v8;
__int64 result;
__m128i v10;
char v11;
unsigned __int8 v12;
char input[40];
unsigned __int64 v14;

v14 = __readfsqword(0x28u);

fgets(input, 29, stdin); // Read in data, with a length of 29
if ( checkInputFunction(input, 29LL, v3) ) // check function
{
puts(":)");
createCharMatrix(&v10, (__int64)input, 28uLL);
v4 = v12; // set v4 to 0
v5 = &flag; // set v5 to the address of the flag (points at first char)
v6 = v11 + 1 - (unsigned __int8)&flag; // sets v6 to 0xA1 (161)
do
{
v7 = v10.m128i_u8[(unsigned __int8)(v6 + (_BYTE)v5)];// gets the value from the matrix
// uses 0xA1 and the current character
v4 += v7; // adds the number we just got to v4
v8 = v10.m128i_i8[(unsigned __int8)v4]; // using v4 look up the value for v8
v10.m128i_i8[(unsigned __int8)(v6 + (_BYTE)v5)] = v8;// sets the value at the first look up index to the value of the second look up
v10.m128i_i8[(unsigned __int8)v4] = v7; // sets the value of the second lookup to the first lookup
*v5++ ^= v10.m128i_u8[(unsigned __int8)(v8 + v7)];// xors the flags current value with the value at index v7+v8, then increments the flag pointer
}
while ( (char *)&flag + 41 != v5 ); // for the length of the flag
fwrite(&flag, 1uLL, 41uLL, stdout); // writes the flag, length of 41
putc('\n', stdout); // print new line
result = 0LL; // set result to 0
}
else // not the right flag
{
puts(":(");
result = 1LL; // set result to 1
}
return result;
}
```

I then saw that the checkInputFunction (which I renamed to this) was the following:

```c
bool __fastcall checkInputFunction(char *inputString, __int64 a2, int a3)
{
int v3;
__int64 v4;
int v5;
char v6;
char *v7;
int v8;
bool result;
char v10;

v3 = dword_55B4ED0E508C * dword_55B4ED0E508C * dword_55B4ED0E508C;// dword_564ED4C3608C seems to always be 0Bh (will be 0x533)
if ( v3 > 0 ) // this should always be hit since 0x0B*0x0B*0x0B will always be greater than 0
{
v4 = 1LL;
while ( 1 )
{
v5 = v4;
if ( v3 == v4 )
break;
if ( *((_BYTE *)&unk_55B4ED0E307F + ++v4) == 2 )
{
a3 = v5;
break;
}
}
}
v6 = *inputString; // set v6 to the first character of the input string
v7 = inputString + 1; // set to the input minus the first character
v8 = dword_55B4ED0E508C * dword_55B4ED0E508C; // sets v8 to 121 (11*11)
if ( *inputString )
{
while ( 1 ) // current character in input string
{
switch ( v6 )
{
case 'b': // if character is b
v8 = -(dword_55B4ED0E508C * dword_55B4ED0E508C);// set v8 to -121
break;
case 'd': // if character is d
v8 = dword_55B4ED0E508C; // st v8 to 11
break;
case 'f': // if character is f
v8 = dword_55B4ED0E508C * dword_55B4ED0E508C;// set v8 to 121
break;
case 'l': // if character is l
v8 = -1; // set v8 to -1
break;
case 'r': // if character is r
v8 = 1; // set v8 to 1
break;
case 'u': // if character is u
v8 = -dword_55B4ED0E508C; // set v8 to -11
break;
default: // if character is none of the above
break;
}
a3 += v8; // adds the value of v8 to a3 (a3 starts at 0)
result = a3 < 0 || a3 > v3; // if a3 is less than 0 or greater than 1331 set to true
if ( result ) // if true then exit the loop and sets return to false
break;
v10 = byte_55B4ED0E3080[a3]; // use a3 to look up an array and set v10 to that value
if ( !v10 ) // if v10 is false (0) then return the last result (will be false), need to make sure not to hit this
return result;
v6 = *v7++; // increment v6 to the next character
if ( !v6 ) // if v6 is no longer a character jump to the end and see if v10 is 3
goto LABEL_12;
}
result = 0;
}
else
{
v10 = byte_55B4ED0E3080[a3]; // get v10 from the array again
LABEL_12:
result = v10 == 3; // set result to whether v10 equals 3
}
return result;
}
```

After commenting the two functions I started getting to work. The first thing I did was extract the byte_55B4ED0E3080 array.

This array was used for making the "path" to the final check where the value in the array was 3 when the index was the sum of the characters.

From this we extracted an array of all the indices that we could access (any that were not 0):

```python
v10Arr = [0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0x01, 0x01, 0x01, 0x01, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x01, 0x01, 0x01, 0x00, 0x01, 0x01, 0x01, 0x01, 0x01, 0x00, 0x00, 0x01, 0x00, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x01, 0x01, 0x01, 0x01, 0x01, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x01, 0x00, 0x01, 0x00, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0x01, 0x01, 0x00, 0x01, 0x01, 0x01, 0x01, 0x01, 0x00, 0x00, 0x01, 0x00, 0x01, 0x00, 0x01, 0x00, 0x01, 0x00, 0x00, 0x00, 0x00, 0x01, 0x00, 0x01, 0x01, 0x01, 0x01, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0x00, 0x01, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0x00, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 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0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0x01, 0x01, 0x00, 0x01, 0x01, 0x01, 0x00, 0x01, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00, 0x00, 0x01, 0x01, 0x01, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x03, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]

newArr = []

for i in range(0, len(v10Arr)-1):
if v10Arr[i] != 0:
newArr.append(i)

print(newArr)
```

This printed out:

```python
[84, 133, 134, 135, 136, 137, 141, 146, 152, 155, 156, 157, 159, 160, 161, 162, 163, 166, 168, 174, 177, 178, 179, 180, 181, 185, 188, 190, 192, 199, 200, 201, 203, 204, 205, 206, 207, 210, 212, 214, 216, 221, 223, 224, 225, 226, 227, 254, 262, 276, 278, 282, 320, 322, 328, 344, 375, 377, 379, 380, 381, 383, 386, 388, 392, 397, 398, 399, 400, 401, 403, 404, 405, 408, 410, 414, 419, 421, 423, 424, 425, 432, 434, 441, 442, 443, 444, 445, 446, 447, 448, 449, 452, 454, 463, 464, 465, 466, 467, 469, 496, 498, 502, 518, 520, 524, 540, 542, 546, 562, 564, 566, 568, 586, 588, 590, 617, 619, 621, 622, 623, 628, 630, 632, 639, 640, 641, 642, 643, 645, 646, 647, 650, 652, 658, 661, 663, 667, 669, 683, 685, 686, 687, 688, 689, 694, 698, 700, 705, 707, 709, 710, 711, 712, 713, 738, 742, 760, 764, 782, 804, 806, 826, 830, 859, 860, 861, 862, 863, 864, 865, 866, 867, 870, 872, 874, 881, 883, 885, 886, 887, 889, 894, 896, 898, 900, 903, 904, 905, 906, 907, 909, 911, 914, 918, 920, 922, 925, 927, 928, 929, 931, 932, 933, 936, 938, 940, 944, 947, 949, 950, 951, 952, 953, 955, 982, 1002, 1006, 1028, 1052, 1054, 1068, 1074, 1103, 1114, 1123, 1124, 1125, 1127, 1128, 1129, 1149, 1150, 1151, 1167, 1168, 1169, 1171, 1172, 1173, 1175, 1178, 1184, 1189, 1190, 1191, 1195, 1296]
```

One of my teammates (Polymero) and I then made a script to print out all the possible paths that would pass the check since there were multiple paths that fit the criteria and could produce a flag. From the main function we knew the input would need to be 28 characters long:

```python
import random

# possible sums
possum = [84, 133, 134, 135, 136, 137, 141, 146, 152, 155, 156, 157, 159, 160, 161, 162, 163, 166, 168, 174, 177, 178, 179, 180, 181, 185, 188, 190, 192, 199, 200, 201, 203, 204, 205, 206, 207, 210, 212, 214, 216, 221, 223, 224, 225, 226, 227, 254, 262, 276, 278, 282, 320, 322, 328, 344, 375, 377, 379, 380, 381, 383, 386, 388, 392, 397, 398, 399, 400, 401, 403, 404, 405, 408, 410, 414, 419, 421, 423, 424, 425, 432, 434, 441, 442, 443, 444, 445, 446, 447, 448, 449, 452, 454, 463, 464, 465, 466, 467, 469, 496, 498, 502, 518, 520, 524, 540, 542, 546, 562, 564, 566, 568, 586, 588, 590, 617, 619, 621, 622, 623, 628, 630, 632, 639, 640, 641, 642, 643, 645, 646, 647, 650, 652, 658, 661, 663, 667, 669, 683, 685, 686, 687, 688, 689, 694, 698, 700, 705, 707, 709, 710, 711, 712, 713, 738, 742, 760, 764, 782, 804, 806, 826, 830, 859, 860, 861, 862, 863, 864, 865, 866, 867, 870, 872, 874, 881, 883, 885, 886, 887, 889, 894, 896, 898, 900, 903, 904, 905, 906, 907, 909, 911, 914, 918, 920, 922, 925, 927, 928, 929, 931, 932, 933, 936, 938, 940, 944, 947, 949, 950, 951, 952, 953, 955, 982, 1002, 1006, 1028, 1052, 1054, 1068, 1074, 1103, 1114, 1123, 1124, 1125, 1127, 1128, 1129, 1149, 1150, 1151, 1167, 1168, 1169, 1171, 1172, 1173, 1175, 1178, 1184, 1189, 1190, 1191, 1195, 1296]

start = 84
goal = 1296

# possible steps
def posstep(x):
return [i for i in [x-1,x-11,x-121,x+1,x+11,x+121] if i in possum]

# walking function
def walk(length=None):

WON = False
dead_ends = 0
starvations = 0

while True:

locat = [start]
steps = []

while True:

posmoves = posstep(locat[-1])

try:
posmoves.remove(locat[-2])
except:
pass

if not posmoves:
dead_ends += 1
break

r_locat = random.choice(posmoves)

steps += [r_locat - locat[-1]]
locat += [r_locat]

if len(steps) > 29:
starvations += 1
break

if locat[-1] == goal:

if length:
if len(steps) == length:
WON = True
else:
WON = True

break

if WON:
break

return steps

# translation dictionary (numbers to letters)
translate = { -121:'b', 11:'d', 121:'f', -1:'l', 1:'r', -11:'u'}

solutions = []

# walk the path 100 times
for k in range(100):

sol = walk()
wrd = ''.join([translate[i] for i in sol])

if wrd not in solutions:
solutions += [wrd]

# print all the found solutions
for s in solutions:
print(s)
```

When run the script output:

```
frrffllffddllffrrffuubbrrfff
frrffllffllddffrrffuubbrrfff
fddllllffrrffffrrffuubbrrfff
frrffllllffddffrrffuubbrrfff
fllddllffrrffffrrffuubbrrfff
```

When tested against the binary we got that the correct input was:

```
frrffllffddllffrrffuubbrrfff
```

When put into the binary I got:

```
./chall

frrffllffddllffrrffuubbrrfff
:)
flag{star_/_so_bright_/_car_/_site_-ppsu}
```

Original writeup (https://github.com/Kasimir123/CTFWriteUps/tree/main/2021-07-RedPwn/dimensionality).