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---
title: R3CTF 2024 Leannum 单题 Writeup
date: 2024/06/10 15:30:00
updated: 2024/06/10 15:30:00
categories:
- CTF-Writeup
cover: ../../wp/r3ctf-2024-leannum/ciallo.jpg
permalink: wp/r3ctf-2024-leannum/
---
Ciallo(∠・ω< )⌒★
# Reverse - leannum
题目给的是 Lean 编程语言的编译产物和中间文件Lean 是一种函数式编程语言。上次 AkiraHomework 没做出来,这次想做出来。
## 概览
比较有用的文件有 ir/Main.c 和 bin/leannum。
运行和动态调试用二进制文件,题目给的是 Nix 环境下的Ubuntu/Kali 直接运行会提示没有那个文件或目录。墨水师傅教我的 patch
> patchelf --set-interpreter /lib64/ld-linux-x86-64.so.2 --set-rpath /nix/store/apab5i73dqa09wx0q27b6fbhd1r18ihl-glibc-2.39-31/lib leannum
patch 完就可以运行和动态调试了。
二进制文件反编译后可以看到很多判断整数最低位的操作,属于 Lean 的数据结构不好看。https://lean-lang.org/lean4/doc/dev/ffi.html
读程序逻辑时看 C 文件,因为 Lean 库函数还没有展开和内联,能把注意力集中在用户代码。
包含的 lean.h 是开源的在遇到光看函数名称看不懂的时候可以查阅https://github.com/leanprover/lean4/blob/master/src/include/lean/lean.h
先缩进一下大概看看两千多行每个部分在干什么。前面的函数声明不用看中间对函数装箱的函数没被调用也不用看。前面一半79个函数接近9*9是在构造挖空的目标数独矩阵被最后的 initialize_Main 函数依次调用。_lean_main 函数从标准输入读字符串,调用 l_fromString 转化为数独矩阵标志性的减48然后调用 l_check 判断是否符合数独规则,最后输出结果。中间那些名字很长的函数,就是判断逻辑的片段。
数组、数组的数组、装箱等都是 lean_object。有非常多的 lean_inc 和 lean_dec 函数调用,都不用看,是在引用计数。
所以要看的就是 目标矩阵构造过程 和 简化判断逻辑。
断点打在 l_fromString 和 l_check会发现输入连续 81 个范围在0..9而不是1..=9的阿拉伯数字才能进入 l_check 函数。
## 目标矩阵构造过程
可执行文件反编译中,这个过程是内联的,但立即数是按 Lean 数据结构写的是实际数乘2加1。直接看C也很好看。
lean_array_push 是一个**先copy后push**的过程,每次 push 都会得到一个新的对象,旧的对象也不会析构。第一个参数是一个数组,第二个参数(地址或立即数)直接作为一个数 push 进去。
全局变量 l_target 在 l_check 中被使用l_target 就是 l_target___closed__79回溯 l_target___closed__79 的 push 过程,开始是立即数 9然后接 l_target___closed__12、21、27、38、42、46、55、62、70 共 9 个数组地址。回溯 l_target___closed__12 的 push 过程,开始是立即数 9然后接立即数6、box(0)、立即数1、6个box(0)。以此类推,就得到了 9*9 二维数组。
```lua
a1 = 6
a2 = 1
a3 = 9
a4 = a3, a1
a5 = a4, {}
a6 = a5, a2
a7 = a6, {}
a8 = a7, {}
a9 = a8, {}
a10 = a9, {}
a11 = a10, {}
a12 = a11, {}
a13 = a3, {}
a14 = a13, {}
a15 = a14, {}
a16 = a15, {}
a17 = a16, {}
a18 = a17, {}
a19 = a18, {}
a20 = a19, {}
a21 = a20, {}
a22 = 5
a23 = a16, a22
a24 = a23, {}
a25 = a24, {}
a26 = a25, {}
a27 = a26, {}
a28 = 4
a29 = 2
a30 = a3, a28
a31 = a30, {}
a32 = a31, a22
a33 = a32, {}
a34 = a33, a29
a35 = a34, {}
a36 = a35, {}
a37 = a36, {}
a38 = a37, {}
a39 = 0
a40 = a18, a39
a41 = a40, a29
a42 = a41, {}
a43 = 7
a44 = a18, a43
a45 = a44, {}
a46 = a45, a22
a47 = 3
a48 = a13, a47
a49 = a48, {}
a50 = a49, {}
a51 = a50, {}
a52 = a51, {}
a53 = a52, a28
a54 = a53, {}
a55 = a54, {}
a56 = a14, a43
a57 = a56, a28
a58 = a57, {}
a59 = a58, a2
a60 = a59, {}
a61 = a60, {}
a62 = a61, {}
a63 = a13, a28
a64 = a63, {}
a65 = a64, {}
a66 = a65, {}
a67 = a66, {}
a68 = a67, {}
a69 = a68, {}
a70 = a69, {}
a71 = a3, a12
a72 = a71, a21
a73 = a72, a27
a74 = a73, a38
a75 = a74, a42
a76 = a75, a46
a77 = a76, a55
a78 = a77, a62
a79 = a78, a70
```
```python
[ 6, -1, 1, -1, -1, -1, -1, -1, -1],
[-1, -1, -1, -1, -1, -1, -1, -1, -1],
[-1, -1, -1, -1, 5, -1, -1, -1, -1],
[ 4, -1, 5, -1, 2, -1, -1, -1, -1],
[-1, -1, -1, -1, -1, -1, 0, 2, -1],
[-1, -1, -1, -1, -1, -1, 7, -1, 5],
[-1, 3, -1, -1, -1, -1, 4, -1, -1],
[-1, -1, 7, 4, -1, 1, -1, -1, -1],
[-1, 4, -1, -1, -1, -1, -1, -1, -1],
```
已定的格子非常少,可能除了横向、纵向外,还有别的必须满足的规则,还是要逆逻辑。
## 简化判断逻辑
由于编译中间语言的原因,一两条语句能说明白的东西拆分成了很多条语句。
### for 循环
以 init_l_target 之后第一个函数 l_Array_anyMUnsafe_any___at_check___spec__2 为例:
![](../../wp/r3ctf-2024-leannum/Clip_2024-06-10_14-29-32.png)
这个函数只被调用一次,传入的 x_3 是 0x_4 是数组长度。所以可以简化为:
```c
LEAN_EXPORT uint8_t l_Array_anyMUnsafe_any___at_check___spec__2(lean_object *x_1, lean_object *x_2, size_t x_3, size_t x_4)
{
for (x_3 /* = 0 */; x_3 < x_4; x_3++)
{
if (x_2[x_3] == *x_1)
return 1;
}
return 0;
}
```
这个函数的作用是判断 x_1 是否存在于 x_2 数组。
以此类推,很多函数的 for 循环都变成了这样,可以化简或者看多几个就习惯了。至于是立即数还是装箱后的数,凭感觉判断就行。
### 数组按索引取值和赋值
```c
lean_array_uget(a, b) a[b]
lean_array_uset(a, b, c) a[b] = c
lean_array_get(T, a, b) (typeof(T))(a[b])
```
以下面这个函数为例,它被调用 9 次,传入的 x_1 分别是 0 至 8。
```c
LEAN_EXPORT lean_object *l_Array_mapMUnsafe_map___at_check___spec__4(lean_object *x_1, size_t x_2, size_t x_3, lean_object *x_4) // in: idx(0..9), 9, 0, msg
{
_start:
{
while(x_3 < x_2)
{
lean_object *x_6;
lean_object *x_7;
lean_object *x_8;
lean_object *x_9;
lean_object *x_10;
lean_object *x_13;
x_6 = lean_array_uget(x_4, x_3); // 得到一行(这一行的地址)
x_7 = lean_unsigned_to_nat(0u);
x_8 = lean_array_uset(x_4, x_3, x_7);
x_9 = l_instInhabitedNat;
x_10 = lean_array_get(x_9, x_6, x_1); // 再从这一行得到一个数
x_13 = lean_array_uset(x_8, x_3, x_10); // 用这一个数代替这一行
x_3 ++;
x_4 = x_13;
}
return x_4;
}
}
```
这个函数的作用是从矩阵中获得某一列,好判断这一列是否包含了 0..9。
类似的l_Array_mapMUnsafe_map___at_check___spec__7 是从矩阵中获得某一条主对角线,好判断这一条主对角线是否包含了 0..9。总共要判断 9 条主对角线。
到这里就可以猜出判定逻辑、求解了,不过再看看 l_check 的逻辑。
### l_check
函数由好几个代码块组成,每个代码块要么返回,要么通过 goto 显式跳转到另一个代码块。控制流有很多判断条件,最后的目标是要返回 1。观察一下就可以发现如果返回 1那么必定是在 block_15 这个代码块返回的。有几个条件是已经知道正常情况下的值的,比如正常情况下矩阵长度大于 0 为真。一点一点地把正常情况不会执行的部分注释掉,剪枝一下,可以找到返回 1 的唯一控制流。
```c
LEAN_EXPORT uint8_t l_check(lean_object *x_1)
{
_start:
{
lean_object *x_2;
lean_object *x_3;
uint8_t x_4;
uint8_t x_5;
lean_object *x_6;
uint8_t x_7;
lean_object *x_8;
lean_object *x_9;
lean_object *x_10;
uint8_t x_11;
uint8_t x_12;
uint8_t x_16;
x_2 = lean_array_get_size(x_1); // 9
x_3 = lean_unsigned_to_nat(0u); // 0
x_4 = lean_nat_dec_lt(x_3, x_2); // true
x_5 = LR____horizontal_all_0_to_len_i_in_a_for_a_in_x_1____l_Nat_allTR_loop___at_check___spec__6(x_1, x_2, x_2, x_2); // sat requires x_5==true
x_6 = l_size;
x_7 = l_Nat_allTR_loop___at_check___spec__9(x_1, x_6, x_6); // sat requires x_7==true
x_8 = l_target;
x_9 = l_Array_zip___rarg(x_1, x_8);
x_10 = lean_array_get_size(x_9);
x_11 = lean_nat_dec_lt(x_3, x_10); // true
if (x_4 == 0) // should never
{
// if (x_11 == 0)
// {
// x_12 = 1;
// goto block_15_must_return_here;
// }
// else
// {
// x_16 = 1;
// goto block_34;
// }
}
else
{
size_t x_38;
uint8_t x_39;
x_38 = lean_usize_of_nat(x_2);
x_39 = LR____not_that_all_0_to_len_i_in_a_for_a_in_x_1____l_Array_anyMUnsafe_any___at_check___spec__12(x_1, 0, x_38);
if (x_39 == 0) // should always
{
if (x_11 == 0) // should never
{
// x_12 = 1;
// goto block_15_must_return_here;
}
else
{
x_16 = 1;
goto block_34;
}
}
else
{
// if (x_11 == 0)
// {
// return 0;
// }
// else
// {
// x_16 = 0;
// goto block_34;
// }
}
}
block_15_must_return_here:
{
if (x_5 == 0)
{
return 0;
}
else
{
if (x_7 == 0)
{
return 0;
}
else
{
return x_12;
}
}
}
block_34:
{
uint8_t x_17;
x_17 = lean_nat_dec_le(x_10, x_10); // true
if (x_17 == 0)
{
// if (x_11 == 0)
// {
// if (x_16 == 0)
// {
// return 0;
// }
// else
// {
// x_12 = 1;
// goto block_15_must_return_here;
// }
// }
// else
// {
// size_t x_21;
// uint8_t x_22;
// x_21 = lean_usize_of_nat(x_10);
// x_22 = l_Array_anyMUnsafe_any___at_check___spec__11(x_9, 0, x_21);
// if (x_22 == 0)
// {
// if (x_16 == 0)
// {
// return 0;
// }
// else
// {
// x_12 = 1;
// goto block_15_must_return_here;
// }
// }
// else
// {
// return 0;
// // if (x_16 == 0)
// // {
// // return 0;
// // }
// // else
// // {
// // x_12 = 0;
// // goto block_15_must_return_here;
// // }
// }
// }
}
else // should always
{
size_t x_28;
uint8_t x_29;
x_28 = lean_usize_of_nat(x_10);
x_29 = l_Array_anyMUnsafe_any___at_check___spec__11(x_9, 0, x_28); // sat requires x_29==false
if (x_29 == 0)
{
if (x_16 == 0) // should never
{
// return 0;
}
else
{
x_12 = 1;
goto block_15_must_return_here;
}
}
else
{
return 0;
// if (x_16 == 0)
// {
// return 0;
// }
// else
// {
// x_12 = 0;
// goto block_15_must_return_here;
// }
}
}
}
}
}
```
可以看到依次需要通过以下判断:
```plain
输入81个0..9的阿拉伯数字 true == l_fromString()
每列都是0..9 true == l_Nat_allTR_loop___at_check___spec__6()
每条对角线都是0..9 true == l_Nat_allTR_loop___at_check___spec__9()
每行都是0..9 false == l_Array_anyMUnsafe_any___at_check___spec__12()
输入符合构造的挖空矩阵(猜的) false == l_Array_anyMUnsafe_any___at_check___spec__11()
```
### 我简化完的 C 伪代码
伪代码是给人看的,不能编译。
```c
// Lean compiler output
// Module: Main
// Imports: Init Init.Data.List
#include <lean/lean.h>
#if defined(__clang__)
#pragma clang diagnostic ignored "-Wunused-parameter"
#pragma clang diagnostic ignored "-Wunused-label"
#elif defined(__GNUC__) && !defined(__CLANG__)
#pragma GCC diagnostic ignored "-Wunused-parameter"
#pragma GCC diagnostic ignored "-Wunused-label"
#pragma GCC diagnostic ignored "-Wunused-but-set-variable"
#endif
static lean_object *l_target___closed__60;
LEAN_EXPORT uint8_t l_Array_anyMUnsafe_any___at_fromString___spec__3(lean_object *, size_t, size_t);
static lean_object *l_target___closed__50;
static lean_object *l_target___closed__58;
LEAN_EXPORT uint8_t LR____arg2_in_arg1____l_Array_contains___at_check___spec__1(lean_object *, lean_object *);
static lean_object *l_target___closed__56;
static lean_object *l_target___closed__25;
static lean_object *l_target___closed__21;
lean_object *lean_mk_empty_array_with_capacity(lean_object *);
LEAN_EXPORT lean_object *_lean_main(lean_object *);
static lean_object *l_target___closed__71;
lean_object *lean_uint32_to_nat(uint32_t);
static lean_object *l_target___closed__22;
LEAN_EXPORT uint8_t LR____done____l_Array_anyMUnsafe_any___at_check___spec__2(lean_object *, lean_object *, size_t, size_t);
static lean_object *l_target___closed__61;
static lean_object *l_target___closed__4;
static lean_object *l_target___closed__37;
lean_object *lean_array_push(lean_object *, lean_object *);
static lean_object *l_target___closed__59;
LEAN_EXPORT lean_object *LR____horizontal____l_Array_mapMUnsafe_map___at_check___spec__4(lean_object *, size_t, size_t, lean_object *);
uint8_t lean_usize_dec_eq(size_t, size_t);
LEAN_EXPORT lean_object *l_fromString___lambda__1(lean_object *, lean_object *);
LEAN_EXPORT uint8_t l_Nat_allTR_loop___at_check___spec__9(lean_object *, lean_object *, lean_object *);
static lean_object *l_target___closed__75;
LEAN_EXPORT lean_object *l_Array_mapMUnsafe_map___at_check___spec__7(lean_object *, lean_object *, size_t, size_t, lean_object *);
static lean_object *l_target___closed__73;
static lean_object *l_target___closed__63;
static lean_object *l_target___closed__76;
LEAN_EXPORT lean_object *l_Array_mapMUnsafe_map___at_fromString___spec__2___boxed(lean_object *, lean_object *, lean_object *, lean_object *);
static lean_object *l_target___closed__13;
LEAN_EXPORT lean_object *l_Nat_allTR_loop___at_check___spec__9___boxed(lean_object *, lean_object *, lean_object *);
static lean_object *l_target___closed__66;
static lean_object *l_target___closed__57;
extern lean_object *l_instInhabitedNat;
LEAN_EXPORT uint8_t l_check(lean_object *);
static lean_object *l_target___closed__51;
static lean_object *l_target___closed__17;
LEAN_EXPORT lean_object *LR____all_0_to_len_i_in_x_1____l_Nat_allTR_loop___at_check___spec__5___boxed(lean_object *, lean_object *, lean_object *);
static lean_object *l_target___closed__10;
LEAN_EXPORT lean_object *l_Array_mapMUnsafe_map___at_fromString___spec__2(lean_object *, size_t, size_t, lean_object *);
lean_object *l_IO_println___at_Lean_instEval___spec__1(lean_object *, lean_object *);
size_t lean_usize_of_nat(lean_object *);
static lean_object *l_target___closed__12;
static lean_object *l_target___closed__49;
static lean_object *l_target___closed__38;
lean_object *lean_string_data(lean_object *);
static lean_object *l_target___closed__41;
static lean_object *l_target___closed__65;
LEAN_EXPORT lean_object *l_target;
uint8_t lean_nat_dec_eq(lean_object *, lean_object *);
static lean_object *l_target___closed__74;
static lean_object *l_target___closed__52;
lean_object *l_Array_zip___rarg(lean_object *, lean_object *);
static lean_object *l_target___closed__78;
static lean_object *l_target___closed__19;
static lean_object *l_target___closed__3;
static lean_object *l_target___closed__28;
static lean_object *l_target___closed__35;
LEAN_EXPORT lean_object *l_Nat_allTR_loop___at_check___spec__8___boxed(lean_object *, lean_object *, lean_object *);
static lean_object *l_target___closed__47;
static lean_object *l_target___closed__2;
static lean_object *l_target___closed__29;
static lean_object *l_target___closed__18;
static lean_object *l_target___closed__6;
static lean_object *l_target___closed__31;
LEAN_EXPORT lean_object *l_Array_anyMUnsafe_any___at_check___spec__10___boxed(lean_object *, lean_object *, lean_object *);
LEAN_EXPORT lean_object *LR____all_0_to_x_3_in_x_1____l_Nat_allTR_loop___at_check___spec__3___boxed(lean_object *, lean_object *, lean_object *);
LEAN_EXPORT lean_object *l_fromString___lambda__2___boxed(lean_object *, lean_object *);
lean_object *lean_get_stdin(lean_object *);
LEAN_EXPORT lean_object *l_size;
static lean_object *l_target___closed__14;
LEAN_EXPORT lean_object *LR____horizontal_all_0_to_len_i_in_a_for_a_in_x_1____l_Nat_allTR_loop___at_check___spec__6___boxed(lean_object *, lean_object *, lean_object *, lean_object *);
lean_object *l_IO_print___at_IO_println___spec__1(lean_object *, lean_object *);
static lean_object *l_target___closed__23;
static lean_object *l_target___closed__69;
LEAN_EXPORT uint8_t LR____all_0_to_x_3_in_x_1____l_Nat_allTR_loop___at_check___spec__3(lean_object *, lean_object *, lean_object *);
static lean_object *l_target___closed__7;
LEAN_EXPORT lean_object *l_Array_mapMUnsafe_map___at_check___spec__7___boxed(lean_object *, lean_object *, lean_object *, lean_object *, lean_object *);
static lean_object *l_target___closed__67;
LEAN_EXPORT uint8_t LR____all_0_to_len_i_in_x_1____l_Nat_allTR_loop___at_check___spec__5(lean_object *, lean_object *, lean_object *);
static lean_object *l_target___closed__11;
static lean_object *l_target___closed__42;
lean_object *l_Array_range(lean_object *);
static lean_object *l_target___closed__9;
LEAN_EXPORT lean_object *LR____done____l_Array_anyMUnsafe_any___at_check___spec__2___boxed(lean_object *, lean_object *, lean_object *, lean_object *);
static lean_object *l_target___closed__62;
static lean_object *l_target___closed__20;
static lean_object *l_fromString___lambda__2___closed__1;
static lean_object *l_target___closed__16;
static lean_object *l_target___closed__54;
static lean_object *l_target___closed__64;
static lean_object *l_target___closed__70;
lean_object *l_Array_extract___rarg(lean_object *, lean_object *, lean_object *);
LEAN_EXPORT lean_object *LR____not_that_all_0_to_len_i_in_a_for_a_in_x_1____l_Array_anyMUnsafe_any___at_check___spec__12___boxed(lean_object *, lean_object *, lean_object *);
static lean_object *l_target___closed__44;
LEAN_EXPORT uint8_t LR____horizontal_all_0_to_len_i_in_a_for_a_in_x_1____l_Nat_allTR_loop___at_check___spec__6(lean_object *, lean_object *, lean_object *, lean_object *);
static lean_object *l_target___closed__5;
uint8_t lean_nat_dec_eq(lean_object *, lean_object *);
static lean_object *l_target___closed__68;
uint8_t lean_nat_dec_lt(lean_object *, lean_object *);
lean_object *lean_nat_mod(lean_object *, lean_object *);
static lean_object *l_target___closed__46;
static lean_object *l_target___closed__77;
static lean_object *l_target___closed__40;
static lean_object *l_target___closed__55;
LEAN_EXPORT lean_object *LR____horizontal____l_Array_mapMUnsafe_map___at_check___spec__4___boxed(lean_object *, lean_object *, lean_object *, lean_object *);
static lean_object *l_target___closed__45;
static lean_object *l_target___closed__53;
LEAN_EXPORT uint8_t l_Nat_allTR_loop___at_check___spec__8(lean_object *, lean_object *, lean_object *);
static lean_object *l_target___closed__32;
static lean_object *l_target___closed__26;
LEAN_EXPORT lean_object *l_fromString(lean_object *);
static lean_object *l_Nat_allTR_loop___at_check___spec__9___closed__1;
LEAN_EXPORT lean_object *l_boxSize;
lean_object *lean_nat_sub(lean_object *, lean_object *);
LEAN_EXPORT uint8_t l_Array_anyMUnsafe_any___at_check___spec__10(lean_object *, size_t, size_t);
lean_object *lean_nat_mul(lean_object *, lean_object *);
LEAN_EXPORT uint8_t l_Array_anyMUnsafe_any___at_check___spec__11(lean_object *, size_t, size_t);
static lean_object *l_target___closed__8;
static lean_object *l_target___closed__1;
static lean_object *l_target___closed__24;
static lean_object *l_target___closed__79;
static lean_object *l_target___closed__30;
static size_t l_Nat_allTR_loop___at_check___spec__9___closed__3;
lean_object *l_List_reverse___rarg(lean_object *);
LEAN_EXPORT lean_object *l_Array_anyMUnsafe_any___at_fromString___spec__3___boxed(lean_object *, lean_object *, lean_object *);
LEAN_EXPORT lean_object *l_Array_anyMUnsafe_any___at_check___spec__11___boxed(lean_object *, lean_object *, lean_object *);
size_t lean_usize_add(size_t, size_t);
static lean_object *l_target___closed__36;
static lean_object *l_target___closed__43;
lean_object *lean_array_uget(lean_object *, size_t);
static lean_object *l_target___closed__72;
static lean_object *l_target___closed__48;
lean_object *l_List_redLength___rarg(lean_object *);
lean_object *l_String_trimRight(lean_object *);
static lean_object *l_target___closed__27;
static lean_object *l_target___closed__39;
lean_object *lean_array_get_size(lean_object *);
LEAN_EXPORT lean_object *l_fromString___lambda__2(lean_object *, lean_object *);
static lean_object *l_target___closed__33;
uint8_t lean_nat_dec_le(lean_object *, lean_object *);
uint8_t lean_usize_dec_lt(size_t, size_t);
LEAN_EXPORT lean_object *l_fromString___lambda__1___boxed(lean_object *, lean_object *);
lean_object *lean_nat_add(lean_object *, lean_object *);
LEAN_EXPORT lean_object *l_check___boxed(lean_object *);
static lean_object *l_target___closed__34;
lean_object *lean_array_uset(lean_object *, size_t, lean_object *);
lean_object *lean_array_get(lean_object *, lean_object *, lean_object *);
LEAN_EXPORT lean_object *l_Array_contains___at_check___spec__1___boxed(lean_object *, lean_object *);
LEAN_EXPORT lean_object *l_List_mapTR_loop___at_fromString___spec__1(lean_object *, lean_object *);
lean_object *l_List_toArrayAux___rarg(lean_object *, lean_object *);
LEAN_EXPORT uint8_t LR____not_that_all_0_to_len_i_in_a_for_a_in_x_1____l_Array_anyMUnsafe_any___at_check___spec__12(lean_object *, size_t, size_t);
static lean_object *l_target___closed__15;
static lean_object *_init_l_target___closed__1()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
x_1 = lean_unsigned_to_nat(6u);
x_2 = lean_alloc_ctor(1, 1, 0);
lean_ctor_set(x_2, 0, x_1);
return x_2;
}
}
static lean_object *_init_l_target___closed__2()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
x_1 = lean_unsigned_to_nat(1u);
x_2 = lean_alloc_ctor(1, 1, 0);
lean_ctor_set(x_2, 0, x_1);
return x_2;
}
}
static lean_object *_init_l_target___closed__3()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
x_1 = lean_unsigned_to_nat(9u);
x_2 = lean_mk_empty_array_with_capacity(x_1);
return x_2;
}
}
static lean_object *_init_l_target___closed__4()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = l_target___closed__3;
x_2 = l_target___closed__1;
x_3 = lean_array_push(x_1, x_2);
return x_3;
}
}
static lean_object *_init_l_target___closed__5()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__4;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__6()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = l_target___closed__5;
x_2 = l_target___closed__2;
x_3 = lean_array_push(x_1, x_2);
return x_3;
}
}
static lean_object *_init_l_target___closed__7()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__6;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__8()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__7;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__9()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__8;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__10()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__9;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__11()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__10;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__12()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__11;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__13()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__3;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__14()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__13;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__15()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__14;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__16()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__15;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__17()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__16;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__18()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__17;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__19()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__18;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__20()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__19;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__21()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__20;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__22()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
x_1 = lean_unsigned_to_nat(5u);
x_2 = lean_alloc_ctor(1, 1, 0);
lean_ctor_set(x_2, 0, x_1);
return x_2;
}
}
static lean_object *_init_l_target___closed__23()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = l_target___closed__16;
x_2 = l_target___closed__22;
x_3 = lean_array_push(x_1, x_2);
return x_3;
}
}
static lean_object *_init_l_target___closed__24()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__23;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__25()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__24;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__26()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__25;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__27()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__26;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__28()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
x_1 = lean_unsigned_to_nat(4u);
x_2 = lean_alloc_ctor(1, 1, 0);
lean_ctor_set(x_2, 0, x_1);
return x_2;
}
}
static lean_object *_init_l_target___closed__29()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
x_1 = lean_unsigned_to_nat(2u);
x_2 = lean_alloc_ctor(1, 1, 0);
lean_ctor_set(x_2, 0, x_1);
return x_2;
}
}
static lean_object *_init_l_target___closed__30()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = l_target___closed__3;
x_2 = l_target___closed__28;
x_3 = lean_array_push(x_1, x_2);
return x_3;
}
}
static lean_object *_init_l_target___closed__31()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__30;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__32()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = l_target___closed__31;
x_2 = l_target___closed__22;
x_3 = lean_array_push(x_1, x_2);
return x_3;
}
}
static lean_object *_init_l_target___closed__33()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__32;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__34()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = l_target___closed__33;
x_2 = l_target___closed__29;
x_3 = lean_array_push(x_1, x_2);
return x_3;
}
}
static lean_object *_init_l_target___closed__35()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__34;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__36()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__35;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__37()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__36;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__38()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__37;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__39()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
x_1 = lean_unsigned_to_nat(0u);
x_2 = lean_alloc_ctor(1, 1, 0);
lean_ctor_set(x_2, 0, x_1);
return x_2;
}
}
static lean_object *_init_l_target___closed__40()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = l_target___closed__18;
x_2 = l_target___closed__39;
x_3 = lean_array_push(x_1, x_2);
return x_3;
}
}
static lean_object *_init_l_target___closed__41()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = l_target___closed__40;
x_2 = l_target___closed__29;
x_3 = lean_array_push(x_1, x_2);
return x_3;
}
}
static lean_object *_init_l_target___closed__42()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__41;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__43()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
x_1 = lean_unsigned_to_nat(7u);
x_2 = lean_alloc_ctor(1, 1, 0);
lean_ctor_set(x_2, 0, x_1);
return x_2;
}
}
static lean_object *_init_l_target___closed__44()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = l_target___closed__18;
x_2 = l_target___closed__43;
x_3 = lean_array_push(x_1, x_2);
return x_3;
}
}
static lean_object *_init_l_target___closed__45()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__44;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__46()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = l_target___closed__45;
x_2 = l_target___closed__22;
x_3 = lean_array_push(x_1, x_2);
return x_3;
}
}
static lean_object *_init_l_target___closed__47()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
x_1 = lean_unsigned_to_nat(3u);
x_2 = lean_alloc_ctor(1, 1, 0);
lean_ctor_set(x_2, 0, x_1);
return x_2;
}
}
static lean_object *_init_l_target___closed__48()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = l_target___closed__13;
x_2 = l_target___closed__47;
x_3 = lean_array_push(x_1, x_2);
return x_3;
}
}
static lean_object *_init_l_target___closed__49()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__48;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__50()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__49;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__51()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__50;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__52()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__51;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__53()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = l_target___closed__52;
x_2 = l_target___closed__28;
x_3 = lean_array_push(x_1, x_2);
return x_3;
}
}
static lean_object *_init_l_target___closed__54()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__53;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__55()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__54;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__56()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = l_target___closed__14;
x_2 = l_target___closed__43;
x_3 = lean_array_push(x_1, x_2);
return x_3;
}
}
static lean_object *_init_l_target___closed__57()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = l_target___closed__56;
x_2 = l_target___closed__28;
x_3 = lean_array_push(x_1, x_2);
return x_3;
}
}
static lean_object *_init_l_target___closed__58()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__57;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__59()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = l_target___closed__58;
x_2 = l_target___closed__2;
x_3 = lean_array_push(x_1, x_2);
return x_3;
}
}
static lean_object *_init_l_target___closed__60()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__59;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__61()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__60;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__62()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__61;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__63()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = l_target___closed__13;
x_2 = l_target___closed__28;
x_3 = lean_array_push(x_1, x_2);
return x_3;
}
}
static lean_object *_init_l_target___closed__64()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__63;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__65()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__64;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__66()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__65;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__67()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__66;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__68()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__67;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__69()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__68;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__70()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = lean_box(0);
x_2 = l_target___closed__69;
x_3 = lean_array_push(x_2, x_1);
return x_3;
}
}
static lean_object *_init_l_target___closed__71()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = l_target___closed__3;
x_2 = l_target___closed__12;
x_3 = lean_array_push(x_1, x_2);
return x_3;
}
}
static lean_object *_init_l_target___closed__72()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = l_target___closed__71;
x_2 = l_target___closed__21;
x_3 = lean_array_push(x_1, x_2);
return x_3;
}
}
static lean_object *_init_l_target___closed__73()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = l_target___closed__72;
x_2 = l_target___closed__27;
x_3 = lean_array_push(x_1, x_2);
return x_3;
}
}
static lean_object *_init_l_target___closed__74()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = l_target___closed__73;
x_2 = l_target___closed__38;
x_3 = lean_array_push(x_1, x_2);
return x_3;
}
}
static lean_object *_init_l_target___closed__75()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = l_target___closed__74;
x_2 = l_target___closed__42;
x_3 = lean_array_push(x_1, x_2);
return x_3;
}
}
static lean_object *_init_l_target___closed__76()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = l_target___closed__75;
x_2 = l_target___closed__46;
x_3 = lean_array_push(x_1, x_2);
return x_3;
}
}
static lean_object *_init_l_target___closed__77()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = l_target___closed__76;
x_2 = l_target___closed__55;
x_3 = lean_array_push(x_1, x_2);
return x_3;
}
}
static lean_object *_init_l_target___closed__78()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = l_target___closed__77;
x_2 = l_target___closed__62;
x_3 = lean_array_push(x_1, x_2);
return x_3;
}
}
static lean_object *_init_l_target___closed__79()
{
_start:
{
lean_object *x_1;
lean_object *x_2;
lean_object *x_3;
x_1 = l_target___closed__78;
x_2 = l_target___closed__70;
x_3 = lean_array_push(x_1, x_2);
return x_3;
}
}
LEAN_EXPORT uint8_t LR____done____l_Array_anyMUnsafe_any___at_check___spec__2(lean_object *x_1, lean_object *x_2, size_t x_3, size_t x_4)
{
for (size_t x_3 /* = 0 */; x_3 < x_4; x_3++)
{
if (x_2[x_3] == *x_1)
return 1;
}
return 0;
}
LEAN_EXPORT uint8_t LR____arg2_in_arg1____l_Array_contains___at_check___spec__1(lean_object *x_1, lean_object *x_2)
{
_start:
{
if (len(x_1) == 0)
return 0;
// return LR____done____l_Array_anyMUnsafe_any___at_check___spec__2(x_2, x_1, x_7, x_8);
for (size_t x_7 = 0; x_7 < len(x_3); x_7++)
{
if (x_1[x_7] == *x_2)
return 1;
}
return 0;
}
}
LEAN_EXPORT uint8_t LR____all_0_to_x_3_in_x_1____l_Nat_allTR_loop___at_check___spec__3(lean_object *x_1, lean_object *x_2, lean_object *x_3)
{
_start:
{
if (*x_3 == 0)
return 1;
x_9 = *x_2 - *x_3;
x_10 = LR____arg2_in_arg1____l_Array_contains___at_check___spec__1(x_1, x_9);
if (x_10 == 0)
{
return 0;
}
else
{
*x_3--;
goto _start;
}
}
}
LEAN_EXPORT lean_object *LR____horizontal____l_Array_mapMUnsafe_map___at_check___spec__4(lean_object *x_1, size_t x_2, size_t x_3, lean_object *x_4) // in: idx(0..9), 9, 0, msg
{
_start:
{
while(x_3 < x_2)
{
lean_object *x_6;
lean_object *x_7;
lean_object *x_8;
lean_object *x_9;
lean_object *x_10;
lean_object *x_13;
x_6 = lean_array_uget(x_4, x_3); // 得到一行
x_7 = lean_unsigned_to_nat(0u);
x_8 = lean_array_uset(x_4, x_3, x_7);
x_9 = l_instInhabitedNat;
x_10 = lean_array_get(x_9, x_6, x_1); // 再从这一行得到一个
x_13 = lean_array_uset(x_8, x_3, x_10); // 用这一个代替这一行
x_3 ++;
x_4 = x_13;
}
return x_4;
}
}
LEAN_EXPORT uint8_t LR____all_0_to_len_i_in_x_1____l_Nat_allTR_loop___at_check___spec__5(lean_object *x_1, lean_object *x_2, lean_object *x_3) // in: 上一步返回的数组, box(9), box(9)
{
_start:
{
if (x_3 == 0)
return 1;
lean_object *x_6;
lean_object *x_7;
lean_object *x_8;
lean_object *x_9;
uint8_t x_10;
x_6 = lean_unsigned_to_nat(1u);
x_7 = lean_nat_sub(x_3, x_6);
lean_dec(x_3);
x_8 = lean_nat_add(x_7, x_6);
x_9 = lean_nat_sub(x_2, x_8);
lean_dec(x_8);
x_10 = LR____arg2_in_arg1____l_Array_contains___at_check___spec__1(x_1, x_9);
if (x_10 == 0)
{
return 0;
}
else
{
x_3 = x_7;
goto _start;
}
}
}
LEAN_EXPORT uint8_t LR____horizontal_all_0_to_len_i_in_a_for_a_in_x_1____l_Nat_allTR_loop___at_check___spec__6(lean_object *x_1, lean_object *x_2, lean_object *x_3, lean_object *x_4) // in: msg, box(9), box(9), box(9)
{
_start:
{
if (*x_4 == 0)
return 1;
lean_object *x_7;
lean_object *x_8;
lean_object *x_10;
size_t x_11;
size_t x_12;
lean_object *x_13;
lean_object *x_14;
uint8_t x_15;
x_10 = lean_nat_sub(x_3, x_4);
x_11 = lean_usize_of_nat(x_2);
x_12 = 0;
x_13 = LR____horizontal____l_Array_mapMUnsafe_map___at_check___spec__4(x_10, x_11, x_12, x_1);
x_14 = lean_array_get_size(x_13);
x_15 = LR____all_0_to_len_i_in_x_1____l_Nat_allTR_loop___at_check___spec__5(x_13, x_14, x_14);
if (x_15 == 0)
{
return 0;
}
else
{
x_4 --;
goto _start;
}
}
}
LEAN_EXPORT lean_object *l_Array_mapMUnsafe_map___at_check___spec__7(lean_object *x_1, lean_object *x_2, size_t x_3, size_t x_4, lean_object *x_5) // in: msg_mat, idx(0..9), 9, 0, ano_msg_mat
{
_start:
{
uint8_t x_6;
x_6 = lean_usize_dec_lt(x_4, x_3);
if (x_6 == 0)
{
return x_5;
}
else
{
lean_object *x_7;
lean_object *x_8;
lean_object *x_9;
lean_object *x_10;
lean_object *x_11;
lean_object *x_12;
lean_object *x_13;
lean_object *x_14;
lean_object *x_15;
lean_object *x_16;
size_t x_17;
size_t x_18;
lean_object *x_19;
x_7 = lean_array_uget(x_5, x_4); // 得到一个0到9的数
x_8 = lean_unsigned_to_nat(0u);
x_9 = lean_array_uset(x_5, x_4, x_8);
x_10 = l_Array_mapMUnsafe_map___at_check___spec__7___closed__1; // is an empty array
x_11 = lean_array_get(x_10, x_1, x_7); // 得到一行(下标是?)
x_12 = lean_nat_add(x_7, x_2); // 值加下标?对角线?
lean_dec(x_7);
x_13 = l_size;
x_14 = lean_nat_mod(x_12, x_13);
lean_dec(x_12);
x_15 = l_instInhabitedNat;
x_16 = lean_array_get(x_15, x_11, x_14);
lean_dec(x_14);
lean_dec(x_11);
x_17 = 1;
x_18 = lean_usize_add(x_4, x_17);
x_19 = lean_array_uset(x_9, x_4, x_16);
x_4 = x_18;
x_5 = x_19;
goto _start;
}
}
}
LEAN_EXPORT uint8_t l_Nat_allTR_loop___at_check___spec__8(lean_object *x_1, lean_object *x_2, lean_object *x_3)
{
_start:
{
lean_object *x_4;
uint8_t x_5;
x_4 = lean_unsigned_to_nat(0u);
x_5 = lean_nat_dec_eq(x_3, x_4);
if (x_5 == 0)
{
lean_object *x_6;
lean_object *x_7;
lean_object *x_8;
lean_object *x_9;
uint8_t x_10;
x_6 = lean_unsigned_to_nat(1u);
x_7 = lean_nat_sub(x_3, x_6);
lean_dec(x_3);
x_8 = lean_nat_add(x_7, x_6);
x_9 = lean_nat_sub(x_2, x_8);
lean_dec(x_8);
x_10 = LR____arg2_in_arg1____l_Array_contains___at_check___spec__1(x_1, x_9);
lean_dec(x_9);
if (x_10 == 0)
{
return 0;
}
else
{
x_3 = x_7;
goto _start;
}
}
else
{
return 1;
}
}
}
LEAN_EXPORT uint8_t l_Nat_allTR_loop___at_check___spec__9(lean_object *x_1, lean_object *x_2, lean_object *x_3)
{
_start:
{
if (x_3 == 0)
return 1;
lean_object *x_6;
lean_object *x_7;
lean_object *x_8;
lean_object *x_9;
size_t x_11;
lean_object *x_12;
lean_object *x_13;
lean_object *x_14;
uint8_t x_15;
x_9 = x_2 - x_3;
x_11 = l_Nat_allTR_loop___at_check___spec__9___closed__3;
x_12 = l_Nat_allTR_loop___at_check___spec__9___closed__1;
x_13 = l_Array_mapMUnsafe_map___at_check___spec__7(x_1, x_9, x_11, 0, x_12);
x_14 = lean_array_get_size(x_13);
x_15 = l_Nat_allTR_loop___at_check___spec__8(x_13, x_14, x_14);
if (x_15 == 0)
{
return 0;
}
else
{
x_3--;
goto _start;
}
}
}
LEAN_EXPORT uint8_t l_Array_anyMUnsafe_any___at_check___spec__10(lean_object *x_1, size_t x_2, size_t x_3)
{
_start:
{
uint8_t x_4;
x_4 = lean_usize_dec_eq(x_2, x_3);
if (x_4 == 0)
{
lean_object *x_5;
lean_object *x_6;
x_5 = lean_array_uget(x_1, x_2);
x_6 = lean_ctor_get(x_5, 1);
lean_inc(x_6);
if (lean_obj_tag(x_6) == 0)
{
size_t x_7;
size_t x_8;
lean_dec(x_5);
x_7 = 1;
x_8 = lean_usize_add(x_2, x_7);
x_2 = x_8;
goto _start;
}
else
{
lean_object *x_10;
lean_object *x_11;
uint8_t x_12;
x_10 = lean_ctor_get(x_5, 0);
lean_inc(x_10);
lean_dec(x_5);
x_11 = lean_ctor_get(x_6, 0);
lean_inc(x_11);
lean_dec(x_6);
x_12 = lean_nat_dec_eq(x_10, x_11);
lean_dec(x_11);
lean_dec(x_10);
if (x_12 == 0)
{
return 1;
}
else
{
x_2++;
goto _start;
}
}
}
else
{
return 0;
}
}
}
LEAN_EXPORT uint8_t l_Array_anyMUnsafe_any___at_check___spec__11(lean_object *x_1, size_t x_2, size_t x_3)
{
_start:
{
uint8_t x_4;
x_4 = lean_usize_dec_eq(x_2, x_3);
if (x_4 == 0)
{
lean_object *x_5;
lean_object *x_6;
lean_object *x_7;
lean_object *x_8;
lean_object *x_9;
lean_object *x_10;
uint8_t x_11;
x_5 = lean_array_uget(x_1, x_2);
x_6 = lean_ctor_get(x_5, 0);
lean_inc(x_6);
x_7 = lean_ctor_get(x_5, 1);
lean_inc(x_7);
lean_dec(x_5);
x_8 = l_Array_zip___rarg(x_6, x_7);
lean_dec(x_7);
lean_dec(x_6);
x_9 = lean_array_get_size(x_8);
x_10 = lean_unsigned_to_nat(0u);
x_11 = lean_nat_dec_lt(x_10, x_9);
if (x_11 == 0)
{
size_t x_12;
size_t x_13;
lean_dec(x_9);
lean_dec(x_8);
x_12 = 1;
x_13 = lean_usize_add(x_2, x_12);
x_2 = x_13;
goto _start;
}
else
{
size_t x_15;
size_t x_16;
uint8_t x_17;
x_15 = 0;
x_16 = lean_usize_of_nat(x_9);
lean_dec(x_9);
x_17 = l_Array_anyMUnsafe_any___at_check___spec__10(x_8, x_15, x_16);
lean_dec(x_8);
if (x_17 == 0)
{
x_2++;
goto _start;
}
else
{
return 1;
}
}
}
else
{
return 0;
}
}
}
LEAN_EXPORT uint8_t LR____not_that_all_0_to_len_i_in_a_for_a_in_x_1____l_Array_anyMUnsafe_any___at_check___spec__12(lean_object *x_1, size_t x_2, size_t x_3)
{
_start:
{
if (x_2 == x_3)
return 0;
lean_object *x_5;
lean_object *x_6;
uint8_t x_7;
x_5 = &x_1[x_2];
x_6 = len(x_5);
x_7 = LR____all_0_to_x_3_in_x_1____l_Nat_allTR_loop___at_check___spec__3(x_5, x_6, x_6);
if (x_7 == 0)
{
return 1;
}
else
{
x_2++;
goto _start;
}
}
}
LEAN_EXPORT uint8_t l_check(lean_object *x_1)
{
_start:
{
lean_object *x_2;
lean_object *x_3;
uint8_t x_4;
uint8_t x_5;
lean_object *x_6;
uint8_t x_7;
lean_object *x_8;
lean_object *x_9;
lean_object *x_10;
uint8_t x_11;
uint8_t x_12;
uint8_t x_16;
x_2 = lean_array_get_size(x_1); // 9
x_3 = lean_unsigned_to_nat(0u); // 0
x_4 = lean_nat_dec_lt(x_3, x_2); // true
x_5 = LR____horizontal_all_0_to_len_i_in_a_for_a_in_x_1____l_Nat_allTR_loop___at_check___spec__6(x_1, x_2, x_2, x_2); // sat requires x_5==true
x_6 = l_size;
x_7 = l_Nat_allTR_loop___at_check___spec__9(x_1, x_6, x_6); // sat requires x_7==true
x_8 = l_target;
x_9 = l_Array_zip___rarg(x_1, x_8);
x_10 = lean_array_get_size(x_9);
x_11 = lean_nat_dec_lt(x_3, x_10); // true
if (x_4 == 0) // should never
{
// if (x_11 == 0)
// {
// x_12 = 1;
// goto block_15_must_return_here;
// }
// else
// {
// x_16 = 1;
// goto block_34;
// }
}
else
{
size_t x_38;
uint8_t x_39;
x_38 = lean_usize_of_nat(x_2);
x_39 = LR____not_that_all_0_to_len_i_in_a_for_a_in_x_1____l_Array_anyMUnsafe_any___at_check___spec__12(x_1, 0, x_38);
if (x_39 == 0) // should always
{
if (x_11 == 0) // should never
{
// x_12 = 1;
// goto block_15_must_return_here;
}
else
{
x_16 = 1;
goto block_34;
}
}
else
{
// if (x_11 == 0)
// {
// return 0;
// }
// else
// {
// x_16 = 0;
// goto block_34;
// }
}
}
block_15_must_return_here:
{
if (x_5 == 0)
{
return 0;
}
else
{
if (x_7 == 0)
{
return 0;
}
else
{
return x_12;
}
}
}
block_34:
{
uint8_t x_17;
x_17 = lean_nat_dec_le(x_10, x_10); // true
if (x_17 == 0)
{
// if (x_11 == 0)
// {
// if (x_16 == 0)
// {
// return 0;
// }
// else
// {
// x_12 = 1;
// goto block_15_must_return_here;
// }
// }
// else
// {
// size_t x_21;
// uint8_t x_22;
// x_21 = lean_usize_of_nat(x_10);
// x_22 = l_Array_anyMUnsafe_any___at_check___spec__11(x_9, 0, x_21);
// if (x_22 == 0)
// {
// if (x_16 == 0)
// {
// return 0;
// }
// else
// {
// x_12 = 1;
// goto block_15_must_return_here;
// }
// }
// else
// {
// return 0;
// // if (x_16 == 0)
// // {
// // return 0;
// // }
// // else
// // {
// // x_12 = 0;
// // goto block_15_must_return_here;
// // }
// }
// }
}
else // should always
{
size_t x_28;
uint8_t x_29;
x_28 = lean_usize_of_nat(x_10);
x_29 = l_Array_anyMUnsafe_any___at_check___spec__11(x_9, 0, x_28); // sat requires x_29==false
if (x_29 == 0)
{
if (x_16 == 0) // should never
{
// return 0;
}
else
{
x_12 = 1;
goto block_15_must_return_here;
}
}
else
{
return 0;
// if (x_16 == 0)
// {
// return 0;
// }
// else
// {
// x_12 = 0;
// goto block_15_must_return_here;
// }
}
}
}
}
}
LEAN_EXPORT lean_object *l_List_mapTR_loop___at_fromString___spec__1(lean_object *x_1, lean_object *x_2)
{
_start:
{
if (lean_obj_tag(x_1) == 0)
{
lean_object *x_3;
x_3 = l_List_reverse___rarg(x_2);
return x_3;
}
else
{
uint8_t x_4;
x_4 = !lean_is_exclusive(x_1);
if (x_4 == 0)
{
lean_object *x_5;
lean_object *x_6;
uint32_t x_7;
lean_object *x_8;
lean_object *x_9;
lean_object *x_10;
x_5 = lean_ctor_get(x_1, 0);
x_6 = lean_ctor_get(x_1, 1);
x_7 = lean_unbox_uint32(x_5);
lean_dec(x_5);
x_8 = lean_uint32_to_nat(x_7);
x_9 = lean_unsigned_to_nat(48u);
x_10 = lean_nat_sub(x_8, x_9);
lean_dec(x_8);
lean_ctor_set(x_1, 1, x_2);
lean_ctor_set(x_1, 0, x_10);
{
lean_object *_tmp_0 = x_6;
lean_object *_tmp_1 = x_1;
x_1 = _tmp_0;
x_2 = _tmp_1;
}
goto _start;
}
else
{
lean_object *x_12;
lean_object *x_13;
uint32_t x_14;
lean_object *x_15;
lean_object *x_16;
lean_object *x_17;
lean_object *x_18;
x_12 = lean_ctor_get(x_1, 0);
x_13 = lean_ctor_get(x_1, 1);
lean_inc(x_13);
lean_inc(x_12);
lean_dec(x_1);
x_14 = lean_unbox_uint32(x_12);
lean_dec(x_12);
x_15 = lean_uint32_to_nat(x_14);
x_16 = lean_unsigned_to_nat(48u);
x_17 = lean_nat_sub(x_15, x_16);
lean_dec(x_15);
x_18 = lean_alloc_ctor(1, 2, 0);
lean_ctor_set(x_18, 0, x_17);
lean_ctor_set(x_18, 1, x_2);
x_1 = x_13;
x_2 = x_18;
goto _start;
}
}
}
}
LEAN_EXPORT lean_object *l_Array_mapMUnsafe_map___at_fromString___spec__2(lean_object *x_1, size_t x_2, size_t x_3, lean_object *x_4)
{
_start:
{
uint8_t x_5;
x_5 = lean_usize_dec_lt(x_3, x_2);
if (x_5 == 0)
{
return x_4;
}
else
{
lean_object *x_6;
lean_object *x_7;
lean_object *x_8;
lean_object *x_9;
lean_object *x_10;
lean_object *x_11;
lean_object *x_12;
size_t x_13;
size_t x_14;
lean_object *x_15;
x_6 = lean_array_uget(x_4, x_3);
x_7 = lean_unsigned_to_nat(0u);
x_8 = lean_array_uset(x_4, x_3, x_7);
x_9 = l_size;
x_10 = lean_nat_mul(x_6, x_9);
lean_dec(x_6);
x_11 = lean_nat_add(x_10, x_9);
x_12 = l_Array_extract___rarg(x_1, x_10, x_11);
lean_dec(x_11);
x_13 = 1;
x_14 = lean_usize_add(x_3, x_13);
x_15 = lean_array_uset(x_8, x_3, x_12);
x_3 = x_14;
x_4 = x_15;
goto _start;
}
}
}
LEAN_EXPORT uint8_t l_Array_anyMUnsafe_any___at_fromString___spec__3(lean_object *x_1, size_t x_2, size_t x_3)
{
_start:
{
uint8_t x_4;
x_4 = lean_usize_dec_eq(x_2, x_3);
if (x_4 == 0)
{
lean_object *x_5;
lean_object *x_6;
uint8_t x_7;
x_5 = lean_array_uget(x_1, x_2);
x_6 = l_size;
x_7 = lean_nat_dec_lt(x_5, x_6);
lean_dec(x_5);
if (x_7 == 0)
{
return 1;
}
else
{
x_2 ++;
goto _start;
}
}
else
{
return 0;
}
}
}
LEAN_EXPORT lean_object *l_fromString___lambda__1(lean_object *x_1, lean_object *x_2)
{
_start:
{
size_t x_4;
lean_object *x_5;
lean_object *x_6;
lean_object *x_7;
x_4 = l_Nat_allTR_loop___at_check___spec__9___closed__3;
x_5 = l_Nat_allTR_loop___at_check___spec__9___closed__1;
x_6 = l_Array_mapMUnsafe_map___at_fromString___spec__2(x_1, x_4, 0, x_5);
x_7 = lean_alloc_ctor(1, 1, 0);
lean_ctor_set(x_7, 0, x_6);
return x_7;
}
}
LEAN_EXPORT lean_object *l_fromString___lambda__2(lean_object *x_1, lean_object *x_2)
{
_start:
{
lean_object *x_3;
lean_object *x_4;
uint8_t x_5;
lean_dec(x_2);
x_3 = lean_array_get_size(x_1);
x_4 = l_fromString___lambda__2___closed__1;
x_5 = lean_nat_dec_eq(x_3, x_4);
lean_dec(x_3);
if (x_5 == 0)
{
lean_object *x_6;
x_6 = lean_box(0);
return x_6;
}
else
{
lean_object *x_7;
lean_object *x_8;
x_7 = lean_box(0);
x_8 = l_fromString___lambda__1(x_1, x_7);
return x_8;
}
}
}
LEAN_EXPORT lean_object *l_fromString(lean_object *x_1)
{
_start:
{
lean_object *x_2;
lean_object *x_3;
lean_object *x_4;
lean_object *x_5;
lean_object *x_6;
lean_object *x_7;
lean_object *x_8;
lean_object *x_9;
uint8_t x_10;
x_2 = lean_string_data(x_1);
x_3 = lean_box(0);
x_4 = l_List_mapTR_loop___at_fromString___spec__1(x_2, x_3);
x_5 = l_List_redLength___rarg(x_4);
x_6 = lean_mk_empty_array_with_capacity(x_5);
lean_dec(x_5);
x_7 = l_List_toArrayAux___rarg(x_4, x_6);
x_8 = lean_array_get_size(x_7);
x_9 = lean_unsigned_to_nat(0u);
x_10 = lean_nat_dec_lt(x_9, x_8);
if (x_10 == 0)
{
lean_object *x_11;
lean_object *x_12;
lean_dec(x_8);
x_11 = lean_box(0);
x_12 = l_fromString___lambda__2(x_7, x_11);
lean_dec(x_7);
return x_12;
}
else
{
size_t x_13;
size_t x_14;
uint8_t x_15;
x_13 = 0;
x_14 = lean_usize_of_nat(x_8);
lean_dec(x_8);
x_15 = l_Array_anyMUnsafe_any___at_fromString___spec__3(x_7, x_13, x_14);
if (x_15 == 0)
{
lean_object *x_16;
lean_object *x_17;
x_16 = lean_box(0);
x_17 = l_fromString___lambda__2(x_7, x_16);
lean_dec(x_7);
return x_17;
}
else
{
lean_object *x_18;
lean_dec(x_7);
x_18 = lean_box(0);
return x_18;
}
}
}
}
LEAN_EXPORT lean_object *_lean_main(lean_object *x_1)
{
_start:
{
println("Input: ");
lean_object *x_4;
lean_object *x_5;
lean_object *x_6;
lean_object *x_7;
lean_object *x_8;
lean_object *x_9;
x_4 = lean_ctor_get(x_3, 1);
lean_inc(x_4);
lean_dec(x_3);
x_5 = lean_get_stdin(x_4);
x_6 = lean_ctor_get(x_5, 0);
lean_inc(x_6);
x_7 = lean_ctor_get(x_5, 1);
lean_inc(x_7);
lean_dec(x_5);
x_8 = lean_ctor_get(x_6, 3);
lean_inc(x_8);
lean_dec(x_6);
x_9 = lean_apply_1(x_8, x_7);
if (lean_obj_tag(x_9) == 0)
{
lean_object *x_10;
lean_object *x_11;
lean_object *x_12;
lean_object *x_13;
x_10 = lean_ctor_get(x_9, 0);
lean_inc(x_10);
x_11 = lean_ctor_get(x_9, 1);
lean_inc(x_11);
lean_dec(x_9);
x_12 = l_String_trimRight(x_10);
lean_dec(x_10);
x_13 = l_fromString(x_12);
if (lean_obj_tag(x_13) == 0)
{
return println("No");
}
else
{
lean_object *x_16;
uint8_t x_17;
x_16 = lean_ctor_get(x_13, 0);
lean_inc(x_16);
lean_dec(x_13);
x_17 = l_check(x_16);
if (x_17 == 0)
{
return println("No");
}
else
{
return println("Yes");
}
}
}
else
{
uint8_t x_22;
x_22 = !lean_is_exclusive(x_9);
if (x_22 == 0)
{
return x_9;
}
else
{
lean_object *x_23;
lean_object *x_24;
lean_object *x_25;
x_23 = lean_ctor_get(x_9, 0);
x_24 = lean_ctor_get(x_9, 1);
lean_inc(x_24);
lean_inc(x_23);
lean_dec(x_9);
x_25 = lean_alloc_ctor(1, 2, 0);
lean_ctor_set(x_25, 0, x_23);
lean_ctor_set(x_25, 1, x_24);
return x_25;
}
}
}
}
lean_object *initialize_Init(uint8_t builtin, lean_object *);
lean_object *initialize_Init_Data_List(uint8_t builtin, lean_object *);
static bool _G_initialized = false;
LEAN_EXPORT lean_object *initialize_Main(uint8_t builtin, lean_object *w)
{
lean_object *res;
if (_G_initialized)
return lean_io_result_mk_ok(lean_box(0));
_G_initialized = true;
res = initialize_Init(builtin, lean_io_mk_world());
if (lean_io_result_is_error(res))
return res;
lean_dec_ref(res);
res = initialize_Init_Data_List(builtin, lean_io_mk_world());
if (lean_io_result_is_error(res))
return res;
lean_dec_ref(res);
l_boxSize = lean_object(3);
l_size = lean_object(9);
l_target___closed__1 = _init_l_target___closed__1();
lean_mark_persistent(l_target___closed__1);
l_target___closed__2 = _init_l_target___closed__2();
lean_mark_persistent(l_target___closed__2);
l_target___closed__3 = _init_l_target___closed__3();
lean_mark_persistent(l_target___closed__3);
// ...
// the way to init l_target, a 9*9 matrix
l_target___closed__78 = _init_l_target___closed__78();
lean_mark_persistent(l_target___closed__78);
l_target___closed__79 = _init_l_target___closed__79();
lean_mark_persistent(l_target___closed__79);
l_target = l_target___closed__79;
l_Array_mapMUnsafe_map___at_check___spec__7___closed__1 = lean_mk_empty_array_with_capacity(0);
l_Nat_allTR_loop___at_check___spec__9___closed__1 = l_Array_range(l_size);
l_Nat_allTR_loop___at_check___spec__9___closed__3 = lean_usize_of_nat(lean_array_get_size(l_Nat_allTR_loop___at_check___spec__9___closed__1));
l_fromString___lambda__2___closed__1 = lean_nat_mul(l_size, l_size);
;
return lean_io_result_mk_ok(lean_box(0));
}
```
## 约束求解
```python
import z3
s = z3.Solver()
mat = [[z3.Int("x_%d_%d" % (i, j)) for j in range(9)] for i in range(9)]
for i in range(9):
for j in range(9):
s.add(0 <= mat[i][j], mat[i][j] <= 8)
s.add(z3.Distinct(mat[i]))
s.add(z3.Distinct([mat[j][i] for j in range(9)]))
s.add(z3.Distinct([mat[(i+j)%9][j] for j in range(9)]))
target = [
[ 6, -1, 1, -1, -1, -1, -1, -1, -1],
[-1, -1, -1, -1, -1, -1, -1, -1, -1],
[-1, -1, -1, -1, 5, -1, -1, -1, -1],
[ 4, -1, 5, -1, 2, -1, -1, -1, -1],
[-1, -1, -1, -1, -1, -1, 0, 2, -1],
[-1, -1, -1, -1, -1, -1, 7, -1, 5],
[-1, 3, -1, -1, -1, -1, 4, -1, -1],
[-1, -1, 7, 4, -1, 1, -1, -1, -1],
[-1, 4, -1, -1, -1, -1, -1, -1, -1],
]
for i in range(9):
for j in range(9):
if target[i][j] != -1:
s.add(mat[i][j] == target[i][j])
if s.check() == z3.sat:
m = s.model()
for i in range(9):
for j in range(9):
print(m[mat[i][j]], end='')
# 651708243714865302320654871485327160576183024168042735832570416207431658043216587
```
# 关于组这个队的碎碎念
队内参与人数是25左右比预期略少第11名符合预期。队内共解出11题含签到其中个位数解的有墨水✌和我各1题re。
当时决定组这个队,绝对不是退役前想瞎搅一下(划掉)。之前有想过建长期联队,但是有明确的原因让我抛弃了那个想法,现在建一次性队也算是达成了心愿。
虽然起初不是我发起的但是实际建队当天5月7日我在XYCTF群发了想组大队的想法大部分队员是我私聊邀请的后来还“谋权篡位”成了队长
如果只是把CTF看作竞技比赛那么联合战队可以算是最好的解决方案。我是希望趁着R3CTF这种质量应该会好、人数不限的大比赛知名战队的比赛通常好于官方的比赛让还没有加入联队的、能力得到我认可的师傅们收到我私聊邀请的师傅都是我认可的特别是所在学校的“独狼”有机会体验联合作战使用Notion之类的协作工具在比赛过程中与能力相当的师傅交流共同解题只要在同一个队里就可以随便交流不用偷偷py。过程是主要的结果是次要的。
邀请五湖四海的CTFer来组一次性队是一次实验性的尝试。实话说拉人的时候我心里没底不知道会是什么结果。特别是一半以上的师傅不能来出题的准备期末的打CISCN的在其他联队的我差点以为这个队组不起来了。我是有点怕如果这么多人的队都排名不前会打击队员的自信心。还好结果还行。
我拉人的时候想的是最好让每个人都能有参与感不要有“能带飞的人”和“被带飞的人”。所以我拉人的策略是不够强的不要别把新人劝退了过于强的不要我的目的不是结果把flag交到合适的队乐子人不要已有队伍的不要虽然刚开始没想到这一点。但是拉一群华南小师傅进来是个例外在我知道他们要组队之后与其让他们自己组队坐大牢不如合到一起没那么坐牢。
不知不觉写了这么长🤔,和师傅们合作挺愉快的,师傅们太强了🤗
![](../../wp/r3ctf-2024-leannum/r3detail.png)
![](../../wp/r3ctf-2024-leannum/r3chall.png)
![](../../wp/r3ctf-2024-leannum/r3board.png)