tl;dr

  • Challenge is a VM implemented over signals and ptrace
  • Reverse Instruction types and implementation
  • Use gdb scripting to find the executed code and get the pseudo VM code
  • Find out the algorithm (Max triangle sum) from VM instructions
  • Find an more optimized way to solve the problem (Or lazy solve it!).

Challenge Points: 769
Challenge Solves: 7
Solved by: R3x

Initial Analysis

Initial analysis shows us that there are minor changes between this binary and the signal_vm binary - in the way the VM works. Please refer to the writeup of signal_vm for learning about the VM structure.

VM structure

In the first stage of the challenge - we had access to all of the VM registers since they were all in the parent itself. Now in signal_vm_de1ta they are all in the memory space of the child - This makes it hard for us to track what is happening in the VM since we aren’t able to directly view its memory or registers.

The VM uses the same four signals (SIGTRAP, SIGILL, SIGSEGV and SIGFPE) to serve as instruction classes. However there are a few significant differences from the first stage.

The VM(parent) uses PTRACE_PEEKDATA and PTRACE_POKEDATA to read and write data into the child memory which contains the memory and the registers.

Retrieving VM instructions

We tweaked the script for the old challenge to work for this one. Since we don’t have the register and memory states this time as that happens in the child, we decided to go ahead and write our own code to parse the instructions. So we were able to predict the contents of the VM registers accurately which helped us in figuring out what the child did.

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import gdb
import struct

class Regs(object):
reg = [0] * 10
eflags = 0
flag = [48] * 0x80 + [0] * 0x100 + [10] * 5050

def __repr__(self):
final = "-------------------\n"
for i in range(len(self.reg)):
final += "\tRegister "+str(i)+" : "+str(self.reg[i]) + " | " + hex(self.reg[i]) + "\n"
final += "\tEflags = " + str(self.eflags) + " | " + hex(self.eflags) + "\n"
final += "\tFLAG = [[ " + "".join(map(chr, self.flag[:102])) + "]]\n"
final += "------------------\n"
return final

def copy_reg(self, i, j):
if i < 10:
self.reg[i] = self.reg[j]
else:
self.eflags = self.reg[j]

def copy_val(self, i, data):
if i < 10:
self.reg[i] = data
else:
self.eflags = data

def flag_to_reg(self, src, dest):
self.reg[src] = self.flag[self.reg[dest]]

def reg_to_flag(self, src, dest):
self.flag[self.reg[src]] = self.reg[dest]

def operation(self, src, op, dest):
self.reg[src] = eval("%d %s %d" % (self.reg[src], op , dest))

def operation_reg(self, src, op, dest):
self.reg[src] = eval("%d %s %d" % (self.reg[src], op ,self.reg[dest]))

def update_eflag(self, dest, const):
self.eflags = self.reg[dest] - const

def update_eflag_reg(self, dest, othreg):
self.eflags = self.reg[dest] - self.reg[othreg]

class Opcode:
opcode = ""
val1 = 0
const = 0
src = 0
dest = 0
final = 0
final2 = 0

def __init__(self, opcode):
self.opcode = opcode
test = struct.unpack("<Q", int(opcode, 16).to_bytes(8, byteorder='big'))[0]
self.val1 = test >> 56
self.const = (test >> 48) & 0xff
self.src = (test >> 40) & 0xff
self.dest = (test >> 32) & 0xff
self.final = struct.unpack("<I", ((test & 0xffffffff00) >> 8).to_bytes(4, byteorder='big'))[0]
self.final2 = struct.unpack("<I", (test & 0xffffffff).to_bytes(4, byteorder='big'))[0]

def __repr__(self):
str_out = "-------------------\n"
str_out += "OPCODE : %s | %d\n" % (self.opcode, int(self.opcode, 16) )
str_out += "val1 = %d | const = %d | src = %d | dest = %d\n" % (self.val1, self.const, self.src, self.dest)
str_out += "val1 = %s | const = %s | src = %s | dest = %s\n" % (hex(self.val1), hex(self.const), hex(self.src), hex(self.dest))
str_out += "final = %d | final2 = %d \n" % (self.final, self.final2)
str_out += "-------------------\n"
return str_out


sig = {4: "SIGILL", 5 : "SIGTRAP", 8: "SIGFPE", 0xb: "SIGSEGV" }
mov_ins = {0: "%d: mov r%d r%d\n",1: "%d: mov r%d 0x%x\n" ,2: "%d: mov r%d [r%d]\n", 32: "%d: mov [r%d] r%d\n"}
ops = ["add" , "sub" , "mul" , "div" , "mod" , "or" , "and" , "xor" , "lsh" , "rsh"]
op_sym = ["+", "-", "*", "/", "%", "|", "&", "^", "<<", ">>"]
str_ops = ["%d: %s r%d r%d\n", "%d: %s r%d 0x%x\n"]
jmp = ["", "eq", "neq", "le", "lt", "ge", "gt"]

f = open('ins.out', 'w')

gdb.execute("file signal_vm_de1ta")
gdb.execute("set pagination off")
gdb.execute("b * 0x400CB2")
gdb.execute("b * 0x0400CB9")
gdb.execute("b * 0x0400CEC")
gdb.execute("b * 0x401062")

gdb.execute("r")
regs = Regs()

for i in range(20000):
opcode = gdb.execute("p/x $rax", to_string=True).split("=")[1].strip()
gdb.execute("c")

sig = gdb.execute("p/x $al", to_string=True).split("=")[1].strip()
gdb.execute("c")

op = Opcode(opcode)
print(op)

if int(sig, 16) == 5:
opcode = gdb.execute("p/x $rax", to_string=True).split("=")[1].strip()
gdb.execute("c")
new_op = Opcode(opcode)

if new_op.const == 1:
f.write(mov_ins[new_op.const] % (i, new_op.src, new_op.final))
else:
f.write(mov_ins[new_op.const] % (i, new_op.src, new_op.dest))

if new_op.const == 1:
regs.copy_val(new_op.src, new_op.final)
elif new_op.const == 0:
regs.copy_reg(new_op.src, new_op.dest)
elif new_op.const == 2:
regs.flag_to_reg(new_op.src, new_op.dest)
elif new_op.const == 32:
regs.reg_to_flag(new_op.src, new_op.dest)
else:
f.write("\n ############ERROR################ \n")

#f.write(new_op.__repr__())

elif int(sig, 16) == 4:
opcode = gdb.execute("p/x $rax", to_string=True).split("=")[1].strip()
gdb.execute("c")
new_op = Opcode(opcode)

if new_op.const == 1:
f.write(str_ops[1] % (i, ops[new_op.val1], new_op.src, new_op.final))
else:
f.write(str_ops[0] % (i, ops[new_op.val1], new_op.src, new_op.dest))

if new_op.const == 1:
regs.operation(new_op.src, op_sym[new_op.val1], new_op.final)
else:
regs.operation_reg(new_op.src, op_sym[new_op.val1], new_op.dest)

#f.write(new_op.__repr__())

elif int(sig, 16) == 8:
if op.src == 1:
f.write("%d: cmp r%d 0x%x\n" % (i, op.dest, op.final2))
else:
f.write("%d: cmp r%d r%d\n" % (i, op.dest, op.final2 & 0xff))

if op.src == 1:
regs.update_eflag(op.dest, op.final2)
else:
regs.update_eflag_reg(op.dest, op.final2 & 0xff)

#f.write(op.__repr__())

elif int(sig, 16) == 0xb:
f.write("%d: jmp %s 0x%x\n" % (i, jmp[op.src], op.dest))

#f.write(op.__repr__())

else:
print("Error")

#f.write(regs.__repr__())

Reversing the VM instructions

This was probably the most complicated VM algorithm I have seen in CTFs. I have written the python version of the code below - you can take a look at it.

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bit_string = [48] * 100
random_array = [..] # Huge array in the memory
flag = [0] * 100
max_sum = 0
while True:
y = 0
temp_array = []

# Find the sum of the random array based on the
# bit string.
for x in range(len(bit_string)):
temp_array.append(random_array[y + (x * (x + 1) >> 1)])
if bit_string[x] == 49:
y = y + 1

# If the sum is greater than the max sum then copy
# it to the flag location.
if sum(temp_array) > max_sum:
max_sum = bit_sum
for i in range(len(temp_array)):
flag[i] = temp_array[i]

ctr = 0
flag = True

# Increment the bit string value
while flag:
if bit_string[ctr] == 48:
flag = False
bit_string[ctr] = bit_string[ctr] ^ 1

Looking a bit deeper into the algorithm we see that it is actually taking the numbers in a very specific order.

x z = ((x * (x + 1)) >> 1) range of y + z
0 0 0
1 1 1..2
2 3 3..5
3 6 6..9
4 10 10..14
100 5050 5050..5150

From this order we figured out that this was basically dividing the array in form of a triangle and then trying to find the path which has the maximum sum.

Now we know what the VM is trying to do and it is taking a long time since the VM is trying to bruteforce the path. Now all we need to do is to find a more efficient way to solve this.

lazy solve

Since it is copying the path that has the maximum sum. I printed out the entire array in the form of a triangle and then I searched for the flag format manually - that is de1ctf{ and then I followed it until I reached the end.

You can probably trace - ~triangle~is from the above screen shot. That was like a wrapper around the flag.

flag was de1ctf{no~n33d~70-c4lcul473~3v3ry~p47h}

Intended Solution

After talking to the admin at the end of the CTF I learned that this was a DP problem and the solution was pretty simple.

You can take a look at the problem statement and the solution techniques here.

tl;dr

  • Challenge is a VM implemented over signals and ptrace
  • Reverse Instruction types and implementation
  • Use gdb scripting to find the executed code and get the pseudo VM code
  • Reverse the VM functionality (Hill cipher) for flag and profit

Challenge Points: 500
Challenge Solves: 21
Solved by: R3x, silverf3lix, Ayushi

Initial Analysis

Challenge takes an input - and running strace we see that it forks a child and then does some ptrace calls.

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~> strace ./signal_vm

clone(child_stack=NULL, flags=CLONE_CHILD_CLEARTID|CLONE_CHILD_SETTID|SIGCHLD, child_tidptr=0x1
e69b50) = 1763
wait4(-1, [{WIFSTOPPED(s) && WSTOPSIG(s) == SIGILL}], 0, NULL) = 1763
--- SIGCHLD {si_signo=SIGCHLD, si_code=CLD_TRAPPED, si_pid=1763, si_uid=1000, si_status=SIGILL,
si_utime=0, si_stime=0} ---
ptrace(PTRACE_GETREGS, 1763, NULL, 0x7ffc4cb9c0e0) = 0
ptrace(PTRACE_PEEKTEXT, 1763, 0x4014ec, [0x600000000060106]) = 0
ptrace(PTRACE_SETREGS, 1763, NULL, 0x7ffc4cb9c0e0) = 0
ptrace(PTRACE_CONT, 1763, NULL, SIG_0) = 0
--- SIGCHLD {si_signo=SIGCHLD, si_code=CLD_TRAPPED, si_pid=1763, si_uid=1000, si_status=SIGILL,
si_utime=0, si_stime=0} ---
wait4(-1, [{WIFSTOPPED(s) && WSTOPSIG(s) == SIGILL}], 0, NULL) = 1763
ptrace(PTRACE_GETREGS, 1763, NULL, 0x7ffc4cb9c0e0) = 0
ptrace(PTRACE_PEEKTEXT, 1763, 0x4014f3, [0x30106]) = 0
ptrace(PTRACE_SETREGS, 1763, NULL, 0x7ffc4cb9c0e0) = 0
ptrace(PTRACE_CONT, 1763, NULL, SIG_0) = 0
--- SIGCHLD {si_signo=SIGCHLD, si_code=CLD_TRAPPED, si_pid=1763, si_uid=1000, si_status=SIGSEGV
, si_utime=0, si_stime=0} ---
wait4(-1, [{WIFSTOPPED(s) && WSTOPSIG(s) == SIGSEGV}], 0, NULL) = 1763
ptrace(PTRACE_GETREGS, 1763, NULL, 0x7ffc4cb9c0e0) = 0
ptrace(PTRACE_PEEKTEXT, 1763, 0x4014fa, [0xcc0000000f000000]) = 0
ptrace(PTRACE_SETREGS, 1763, NULL, 0x7ffc4cb9c0e0) = 0
ptrace(PTRACE_CONT, 1763, NULL, SIG_0) = 0
--- SIGCHLD {si_signo=SIGCHLD, si_code=CLD_TRAPPED, si_pid=1763, si_uid=1000, si_status=SIGILL,
si_utime=0, si_stime=0} ---
.
.
.

Taking a look into the binary for a better understanding we come across the main function.

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signed __int64 sub_40172D()
{
signed int v1; // [rsp+Ch] [rbp-4h]

print("Check up: ");
print_0("%s", &unk_6D5132);
v1 = fork_("%s", &unk_6D5132);
if ( v1 < 0 )
return 0xFFFFFFFFLL;
if ( !v1 )
{
(vm_part)();
sub_40F690(0LL);
}
handler(v1);
if ( dword_6D74E0[0] )
sub_411110("Ture.");
else
sub_411110("False.");
return 0LL;
}

This leads us to understand that the code is basically forking and trying to establish some communication between the child and parent using ptrace.

Analysis of the Child

Run the binary on gdb with set follow-fork-mode child to observe the behaviour of the child. We get SIGILL.

Let take a close look at the disassembly of the child.

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push    rbp
mov rbp, rsp
mov ecx, 0
mov edx, 0
mov esi, 0
mov edi, 0
mov eax, 0
call sub_44B410
db 6 //This is where SIGILL is triggered
add [rsi], eax

This is strange - looks like the child is made to trigger the signal. This leads us to the conclusion that the parent is responsible for handling the signal and continuing the execution of the child somehow.

Initial analysis of the Parent

Now lets take a look at what is happening in the parent. On reversing the function handler we come to the following conclusions.

  • Parent is the VM handler and the child is basically the VM code.
  • Every time the child sends a signal the parent basically handles it like a opcode and performs actions. This is done with the help of ptrace.
  • The VM has a set of registers in the parent which are modified based on the opcode and one of these have to be set to 0 for us to get the flag.

Digging deeper into the parent VM

First thing to understand the role ptrace actually plays. Strace gives us -

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ptrace(PTRACE_GETREGS, 1763, NULL, 0x7ffc4cb9c0e0) = 0
ptrace(PTRACE_PEEKTEXT, 1763, 0x4014ec, [0x600000000060106]) = 0
ptrace(PTRACE_SETREGS, 1763, NULL, 0x7ffc4cb9c0e0) = 0
ptrace(PTRACE_CONT, 1763, NULL, SIG_0) = 0

Having not seen anything other than PTRACE_TRACEME - we start digging into the man page.

The ptrace() system call provides a means by which one process (the “tracer”) may observe and control the execution of another process (the “tracee”), and examine and change the tracee’s memory and registers.
PTRACE_PEEKTEXT/POKETEXT - Read/Write a word at the address addr in the tracee’s memory.
PTRACE_GETREGS/SETREGS - Read/Write into the registers of the tracee.

The parent has handlers for the following signals and each of them define a certain class of instructions:

  • SIGILL (signal no 4) - move class
  • SIGTRAP (signal no 5) - logical class
  • SIGFPE (signal no 8) - compare class
  • SIGSEGV (signal no 11) - jump class

Now the following script skims through the signals triggered and parses them to give a set of readable instructions which decreased our work.

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import gdb
import struct

class Opcode:
opcode = ""
val1 = 0
const = 0
src = 0
dest = 0
final = 0
final2 = 0

def __init__(self, opcode):
self.opcode = opcode
test = struct.unpack("<Q", int(opcode, 16).to_bytes(8, byteorder='big'))[0]
self.val1 = test >> 56
self.const = (test >> 48) & 0xff
self.src = (test >> 40) & 0xff
self.dest = (test >> 32) & 0xff
self.final = struct.unpack("<I", ((test & 0xffffffff00) >> 8).to_bytes(4, byteorder='big'))[0]
self.final2 = struct.unpack("<I", (test & 0xffffffff).to_bytes(4, byteorder='big'))[0]

def __repr__(self):
str_out = "-------------------\n"
str_out += "OPCODE : %s | %d\n" % (self.opcode, int(self.opcode, 16) )
str_out += "val1 = %d | const = %d | src = %d | dest = %d\n" % (self.val1, self.const, self.src, self.dest)
str_out += "val1 = %s | const = %s | src = %s | dest = %s\n" % (hex(self.val1), hex(self.const), hex(self.src), hex(self.dest))
str_out += "final = %d | final2 = %d \n" % (self.final, self.final2)
str_out += "-------------------\n"
return str_out


sign = {4: "SIGILL", 5 : "SIGTRAP", 8: "SIGFPE", 0xb: "SIGSEGV" }
mov_ins = {0: "%d: mov r%d r%d\n",1: "%d: mov r%d 0x%x\n" ,2: "%d: mov r%d [r%d]\n", 32: "%d: mov [r%d] r%d\n"}
ops = ["add" , "sub" , "mul" , "div" , "mod" , "or" , "and" , "xor" , "lsh" , "rsh"]
op_sym = ["+", "-", "*", "/", "%", "|", "&", "^", "<<", ">>"]
str_ops = ["%d: %s r%d r%d\n", "%d: %s r%d 0x%x\n"]
jmp = ["", "eq", "neq", "le", "lt", "ge", "gt"]

f = open('ins.out', 'w')

gdb.execute("file signal_vm")
gdb.execute("set pagination off")
gdb.execute("set follow-fork-mode parent")
gdb.execute("b * 0x400C5B")
gdb.execute("b * 0x400C67")
gdb.execute("b * 0x0401448")

gdb.execute("r < input")

i = 0
while True:
gdb.execute("ni")
opcode = gdb.execute("p/x $rax", to_string=True).split("=")[1].strip()
gdb.execute("c")

sig = gdb.execute("p/x $al", to_string=True).split("=")[1].strip()
gdb.execute("c")

print(sign[int(sig, 16)])
op = Opcode(opcode)
print(op)

if int(sig, 16) == 4:
if op.const == 1:
f.write(mov_ins[op.const] % (i, op.src, op.final))
else:
f.write(mov_ins[op.const] % (i, op.src, op.dest))

elif int(sig, 16) == 5:

if op.const == 1:
f.write(str_ops[1] % (i, ops[op.val1], op.src, op.final))
else:
f.write(str_ops[0] % (i, ops[op.val1], op.src, op.dest))

elif int(sig, 16) == 8:
if op.src == 1:
f.write("%d: cmp r%d 0x%x\n" % (i, op.dest, op.final2))
else:
f.write("%d: cmp r%d r%d\n" % (i, op.dest, op.final2 & 0xff))

elif int(sig, 16) == 0xb:
f.write("%d: jmp %s 0x%x\n" % (i, jmp[op.src], op.dest))

else:
print("Error")

gdb.execute("c")
i = i + 1

Final Steps

From the instructions given out by the above script we were able to deduce that it is basically Hill cipher.

The key Matrix is a 7x7 one generated from the string below

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.data:00000000006D5100 aAlmostHeavenWe db 'Almost heaven west virginia, blue ridge mountains',0

The ciphertext matrix can be found from the instructions generated by the above script.Then we used sagemath to do the math for us.

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from sage.all import *
s=[[65, 108, 109, 111, 115, 116, 32],
[104, 101, 97, 118, 101, 110, 32],
[119, 101, 115, 116, 32, 118, 105],
[114, 103, 105, 110, 105, 97, 44],
[32, 98, 108, 117, 101, 32, 114],
[105, 100, 103, 101, 32, 109, 111],
[117, 110, 116, 97, 105, 110, 115]]
s = Matrix(IntegerModRing(256),s)
s = s.transpose()
c = [214, 77, 45, 133, 119, 151, 96, 98, 43, 136, 134, 202, 114, 151, 235, 137, 152, 243, 120, 38, 131, 41, 94, 39, 67, 251, 184, 23, 124, 206, 58, 115, 207, 251, 199, 156, 96, 175, 156, 200, 117, 205, 55, 123, 59, 155, 78, 195, 218, 216, 206, 113, 43, 48, 104, 70, 11, 255, 60, 241, 241, 69, 196, 208, 196, 255, 81, 241, 136, 81]
l = []
for i in range(0,len(c),7):
l.append(c[i:i+7])
l = Matrix(IntegerModRing(256),l)
flag = "".join("".join(map(chr,s.inverse()*l[i])) for i in range(10))
print flag

Running the above script gave us the flag => de1ctf{7h3n_f4r3_u_w3ll_5w337_cr4g13_HILL_wh3r3_0f3n_71m35_1_v3_r0v3d}