1. 总体逻辑
4. 前缀表达式
(1)已知原函数(前缀表达式)的前面与后面部分, 中间部分取自sn
(2)已知该表达式的导函数
求解sn
正常解法: 求导函数的积分得到原函数?
不会求, 不过还好猜出来了
2. Base62解码
str_b62 = g_str_primitive_part1 + sn + g_str_primitive_part2_1 + g_str_primitive_part2_2;
str_b62.size() == 0x4407
str_primitive = Base62_decode(str_b62);
str_primitive.size() == 0x31AB
base62是变形的base64, 表的前面61位跟原来一样, 后3位分别用9A, 9B, 9C来替代, 9D为padding
.text:00401230 x_init_g_str_primitive_part1
.text:00401280 x_init_g_str_primitive_part2_1
.text:004012D0 x_init_g_str_primitive_part2_2
..
.text:0040342F mov [ebp+b62.vtbl], offset ??_7Base62@@6B@ ; const Base62::`vftable'
...
.text:0040344E push 3Dh ; a3
.text:00403450 push offset aAbcdefghijklmn ; "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklm"...
.text:00403455 lea ecx, [ebp+b62.table] ; this
.text:0040345B mov byte ptr [ebp+var_4], 2
.text:0040345F call x_std_string_ctor
.text:00403464 mov [ebp+b62.pad], '9'
...
.text:0040349C lea eax, [ebp+str_sn]
.text:0040349F mov edx, offset g_str_primitive_part1 ; a2
.text:004034A4 push eax ; a3
.text:004034A5 lea ecx, [ebp+a1] ; a1
.text:004034A8 call x_std_string_ctor_0
.text:004034AD add esp, 4
.text:004034B0 push offset g_str_primitive_part2_1 ; a1
.text:004034B5 mov edx, eax ; edx0
.text:004034B7 mov byte ptr [ebp+var_4], 5
.text:004034BB lea ecx, [ebp+a2] ; a2
.text:004034C1 call x_std_string_concat
.text:004034C6 add esp, 4
.text:004034C9 push offset g_str_primitive_part2_2 ; a1
.text:004034CE mov edx, eax ; edx0
.text:004034D0 mov byte ptr [ebp+var_4], 6
.text:004034D4 lea ecx, [ebp+str] ; a2
.text:004034DA call x_std_string_concat
.text:004034DF add esp, 4
.text:004034E2 lea ecx, [ebp+str_sn] ; this
.text:004034E5 push eax ; a2
.text:004034E6 call x_std_string_ctor_1
..
.text:00403623 cmp [ebp+str_sn._Mysize], 4407h
..
.text:00403669 call x_Base62_decode
..
.text:00403697 cmp [ebp+str_sn._Mysize], 31ABh
.text:00401230 x_init_g_str_primitive_part1
.text:00401280 x_init_g_str_primitive_part2_1
.text:004012D0 x_init_g_str_primitive_part2_2
..
.text:0040342F mov [ebp+b62.vtbl], offset ??_7Base62@@6B@ ; const Base62::`vftable'
...
.text:0040344E push 3Dh ; a3
.text:00403450 push offset aAbcdefghijklmn ; "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklm"...
.text:00403455 lea ecx, [ebp+b62.table] ; this
.text:0040345B mov byte ptr [ebp+var_4], 2
.text:0040345F call x_std_string_ctor
.text:00403464 mov [ebp+b62.pad], '9'
...
.text:0040349C lea eax, [ebp+str_sn]
.text:0040349F mov edx, offset g_str_primitive_part1 ; a2
.text:004034A4 push eax ; a3
.text:004034A5 lea ecx, [ebp+a1] ; a1
.text:004034A8 call x_std_string_ctor_0
.text:004034AD add esp, 4
.text:004034B0 push offset g_str_primitive_part2_1 ; a1
.text:004034B5 mov edx, eax ; edx0
.text:004034B7 mov byte ptr [ebp+var_4], 5
.text:004034BB lea ecx, [ebp+a2] ; a2
.text:004034C1 call x_std_string_concat
.text:004034C6 add esp, 4
.text:004034C9 push offset g_str_primitive_part2_2 ; a1
.text:004034CE mov edx, eax ; edx0
.text:004034D0 mov byte ptr [ebp+var_4], 6
.text:004034D4 lea ecx, [ebp+str] ; a2
.text:004034DA call x_std_string_concat
.text:004034DF add esp, 4
.text:004034E2 lea ecx, [ebp+str_sn] ; this
.text:004034E5 push eax ; a2
.text:004034E6 call x_std_string_ctor_1
..
.text:00403623 cmp [ebp+str_sn._Mysize], 4407h
..
.text:00403669 call x_Base62_decode
..
.text:00403697 cmp [ebp+str_sn._Mysize], 31ABh
3. 求导函数后比较
.text:00401320 x_init_g_str_derivative
..
.text:004036DE call x_parse_expression
..
.text:004037D9 cmp g_str_derivative._Myres, 10h
.text:004037E0 lea ecx, [ebp+str_sn]
.text:004037E3 push g_str_derivative._Mysize ; a4
.text:004037E9 mov edx, [ebp+str_sn._Mysize] ; a1
.text:004037EC mov eax, offset g_str_derivative
.text:004037F1 cmovnb eax, dword ptr g_str_derivative.anonymous_0
.text:004037F8 cmp [ebp+str_sn._Myres], 10h
.text:004037FC push eax ; a3
.text:004037FD cmovnb ecx, dword ptr [ebp+str_sn.anonymous_0] ; a2
.text:00403801 call x_std_compare
.text:00401320 x_init_g_str_derivative
..
.text:004036DE call x_parse_expression
..
.text:004037D9 cmp g_str_derivative._Myres, 10h
.text:004037E0 lea ecx, [ebp+str_sn]
.text:004037E3 push g_str_derivative._Mysize ; a4
.text:004037E9 mov edx, [ebp+str_sn._Mysize] ; a1
.text:004037EC mov eax, offset g_str_derivative
.text:004037F1 cmovnb eax, dword ptr g_str_derivative.anonymous_0
.text:004037F8 cmp [ebp+str_sn._Myres], 10h
.text:004037FC push eax ; a3
.text:004037FD cmovnb ecx, dword ptr [ebp+str_sn.anonymous_0] ; a2
.text:00403801 call x_std_compare
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