Easiest way to make 4 letters permutations in C - c

I need to write a function that returns something like this, given only "1234":
char *permutations[] = {"1234","1324", "1342","1423","1432","2134",
"2143","2314","2341","2413","2431","3124","3142",
"3214","3241","3412","3421","4123","4132","4213",
"4231","4312","4321", "1243"};
I wrote "letters" in the title because I actually need those numbers to be characters. I have read various posts here, but all aff them are very complicated since they try to get permutations for an N letters string. I don't need that, I only need those combinations but have no clue whatsoever about how to do this. I know I should tell what I tried, but I really do have nothing yet, since all codes I have tried inspiring at use concepts I am totally unfamiliar like backtracking and recursion. Is there a really 'easy' way to do this without using any libraries?
Hoping you will understand, I thank you all very much in advance.

Here is an example :
A. The first number has 4 possible values, we simply traverse them in the outer loop.
B. The same is done for the second at each pass of the outer loop, except that we avoid duplicating A so that loop has a length of 3.
C. The same for C whose the loop has a length of 2 because it avoids duplicating A and B.
D. The last value has a unique choice and we can find it this way : D = 10 - (A + B + C), where 10 = 1+2+3+4.
Each time a new D is found we collect the sequence of four numbers and that finally results in a sorted series of length 24.
static inline char increase(char c) { return (c - '0') % 4 + '1'; }
#define A seq[0]
#define B seq[1]
#define C seq[2]
#define D seq[3]
int main()
{
char seq[5] = { '0', '0', '0', '0', 0};
char collector[24][5];
char icollect = 0;
//--- A
for (char i = 0; i<4; i++) {
A = increase(A);
//---- B
B = '0';
for (char j = 0; j<3; j++) {
B = increase(B);
//---- C
C = '0';
if (B == A) B = increase(B);
for (char k = 0; k<2; k++) {
do { C = increase(C); } while (C == A || C == B);
//---- D
D = 10 - ((A - '0') + (B - '0') + (C - '0')) + '0';
//Collects
memcpy(collector[icollect++], seq, 5);
}
}
}
//Prints
for (char i=0; i<24; i++) {
printf("%s%c", collector[i], i && (i+1)%6==0 ? '\n' : ' ');
}
}
/* printed
1234 1243 1324 1342 1423 1432
2134 2143 2314 2341 2413 2431
3124 3142 3214 3241 3412 3421
4123 4132 4213 4231 4312 4321
*/

Related

C program that sums a char with int

I have a given exercise that wants me to find the uppercase letter that is K places from the letter in this case char variable that is named C. The range is uppercase letters from A to Z.
For example if the input is B 3 the output should be E. For this specific input its simple you just sum the values and you get your answer but for example what if we go out of the range. Here is one example F 100 the program should output B because if the value is > than Z the program starts from A.
If there are some confusions I will try to explain it more here are some test cases and my code that only work if we don't cross the range.
Input Output
B 3 E
X 12345 S
F 100 B
T 0 T
#include <stdio.h>
int main(){
int K;
char C,rez;
scanf("%c %d",&C,&K);
int ch;
for(ch = 'A';ch <= 'Z';ch++){
if(C>='A' && C<='Z'){
rez = C+K;
}
}
printf("%c",rez);
return 0;
}
Think of the letters [A-Z] as base 26 where zero is A, one is B and 25 is Z.
As we sum of the letter (in base 26) and the offset, it is only the least significant base 26 digit we have interest, so use % to find the least significant base 26 digit much like one uses % 10 to find the least significant decimal digit.
scanf(" %c %d",&C,&K);
// ^ space added to consume any white-space
if (C >= 'A' && C <= 'Z') {
int base26 = C - 'A';
base26 = base26 + K;
base26 %= 26;
int output = base26 + 'A';
printf("%c %-8d %c\n", C, K, output);
}
For negative offsets we need to do a little more work as % in not the mod operator, but the remainder. This differs with some negative operands.
base26 %= 26;
if (base < 0) base26 += 26; // add
int output = base26 + 'A';
Pedantically, C + K may overflow with extreme K values. To account for that, reduce K before adding.
// base26 = C + K;
base26 = C + K%26;
We could be a little sneaky and add 26 to insure the sum is not negative.
if (C >= 'A' && C <= 'Z') {
int base26 = C - 'A';
base26 = base26 + K%26 + 26; // base26 >= 0, even when K < 0
base26 %= 26; // base26 >= 0 and < 26
int output = base26 + 'A';
printf("%c %-8d %c\n", C, K, output);
}
... or make a complex one-line
printf("%c %-8d %c\n", C, K, (C - 'A' + K%26 + 26)%26 + 'A');
This can be accomplished by using 2 concepts.
ASCII value
Modulus operator (%)
In C every character has an ASCII value. Basically it goes from 0-127.
The character 'A' has the value of 65
The character 'B' has the value of 66 (65 + 1)
and so on...
Until Z which is 65 + 25 = 90
And the 2nd concept I want to highlight in math is modulo arithmetic where if you always want to map a number to certain range, you can use a modulus operator.
Modulus is the reminder that you get after dividing a number by another number.
In our case, we have 26 alphabets so we can always get a number between 0 to 25
For the example you took
100 % 26 = 22
But you have to consider the starting point too.
So, we always subtract the initial alphabet by the value of 'A', i.e. 65 so that 'A' maps to 0 and 'Z' maps to 25
So, if we start with 'F' and need to go 100 places..
Subtract 'A' value from 'F' value. Characters behave like numbers so you can actually store 'F' - 'A' in an integer
In this case 'F' - 'A' = 5
Next we add the offset to this.
5 + 100 = 105
Then we perform modulus with 26
105 % 26 = 1
Finally add the value of 'A' back to the result
'A' + 1 = 'B'
And you are done
Get the remainder of input number with 26 using modulo operator. If sum of input character and remainder is less than or equal to Z then its the answer otherwise again find the remainder of sum with 26 and that will be answer (take care of offset because the ASCII decimal value of letter A is 65).
Roughly the implementation will be:
#include <stdio.h>
int main(){
int K;
char C, rez;
scanf("%c %d",&C,&K);
// Validate the user input
int ch;
int rem = K % 26;
if ((rem + C) - 'A' < 26) {
rez = rem + C;
} else {
rez = ((rem + C - 'A') % 26) + 'A';
}
printf("%c\n",rez);
return 0;
}
Note that, I know there is scope of improvement in the implementation. But this is just to give an idea to OP about how it can be done.
Output:
# ./a.out
B 3
E
# ./a.out
X 12345
S
# ./a.out
F 100
B
# ./a.out
T 0
T

What does this line of code translate to ? and why divide by 16?

I have been trying to translate this code to put it in simple terms to understand but can't quite get it.
Can someone help me understand it better and why the next line would they want to divide by 16?
char r = (c+n1+n2)>=16 ?
((c+n1+n2)-16+'0') :
((c+n1+n2)>9?((c+n1+n2)+55):(c+n1+n2)+'0');
c = (c+n1+n2)/16;
the lines above this are a while loop to print multiple numbers and are:
int i=s1-1, j=s2-1, c=0, k=0;// sets up for the calculations -1
// for the s1 and s2 because you do not want null character included here
// k is the number of places we use for addition
printf("COL d d c\n");
while(i>=0 || j>=0){
int n1 = i<0?0:num1[i]-'0';// is converting from the character representation
// of a number to the actual integer value of the same digit if not 0
int n2 = j<0?0:num2[j]-'0';
char r = (c+n1+n2)>=16 ?
((c+n1+n2)-16+'0') :
((c+n1+n2)>9?((c+n1+n2)+55):(c+n1+n2)+'0');
c = (c+n1+n2)/16;
printf("%3d : %d+%d+%d = %c\n", k, n1, n2, c, r);
i--;
j--;
k++;
}
It seems, the function above was intended to add two hex strings. I believe this, because the line in question encodes hex characters and the overflow, that occurs when adding two digits is treated in a way, that makes only sense if the digits are treated as 4 bit digts (hex digits). E.g. because of the division by 16.
If I am right, the hex decoding contains a bug, while the hex encoding for outputting the result seems almost correct. Almost, because if I got it right, the original version will not be able to calculate string additions like "00F" + "00F" correctly (see last output below).
It seems, as if even the original author was overwhelmed by his code.
Here is a version, that should do, what the original author intended to do:
void string_add(char num1[], char num2[], int s1, int s2) {
int i=s1-1, j=s2-1, c=0, k=0;// sets up for the calculations -1 for the s1 and s2 because you do not want null character included here
int z=0;
// k is the number of places we use for addition
printf("COL d d c\n");
while(i>=0 || j>=0){
/*
* the following lines represent the expressions
* int n1 = i<0?0:num1[i]-'0';// is converting from the character representation of a number to the actual integer value of the same digit if not 0
* int n2 = j<0?0:num2[j]-'0';
* I added the conversion of hex digits in the range A-F
*/
int n1, n2= 0;
char r;
if(i>=0) {
n1= num1[i];
if(n1>='A') {
n1-= 'A'-10;
} else {
n1-= +'0';
}
}
if(j>=0) {
n2= num2[j];
if(n2>='A') {
n2-= 'A'-10;
} else {
n2-= '0';
}
}
/*
* the following code is, what the line
* char r = (c+n1+n2)>=16?((c+n1+n2)-16+'0'):((c+n1+n2)>9?((c+n1+n2)+55):(c+n1+n2)+'0');
* originally did (I also do a partial calculation of the line
* c = (c+n1+n2)/16;
* to avoid repeating the term
*/
c= c+n1+n2;
r= c&15; // only take the lower 4 bits (ignore overflow bits)
z|= r << (4*k);
// construct the binary representation (shift the 4 bits into position and use bitwise or to add them to z)
if(r>9) {
r+= 'A'-10; // produces chars in range A-F = (ascii('G')-16+c
} else {
r+= '0'; // produces chars in range 0-9 if no overflow occurs
}
/*
* now just do the /16 part of
* c = (c+n1+n2)/16;
*/
c/= 16;
printf("%3d : %d+%d+%d = %c\n", k, n1, n2, c, r);
i--;
j--;
k++;
}
printf("%d\n", z);
}
void main(void) {
char s1[]= "0100";
char s2[]= "0B01";
string_add(s1, s2, 4, 4);
}
Tests (first output is from the version above, second from the original version):
"0005"+"0005"=
COL d d c
0 : 5+5+0 = A
1 : 0+0+0 = 0
2 : 0+0+0 = 0
3 : 0+0+0 = 0
10
COL d d c
0 : 5+5+0 = A
1 : 0+0+0 = 0
2 : 0+0+0 = 0
3 : 0+0+0 = 0
"9989"+"0987"=
COL d d c
0 : 9+7+1 = 0
1 : 8+8+1 = 1
2 : 9+9+1 = 3
3 : 9+0+0 = A
41744
COL d d c
0 : 9+7+1 = 0
1 : 8+8+1 = 1
2 : 9+9+1 = 3
3 : 9+0+0 = A
"000F"+"000F"=
COL d d c
0 : 15+15+1 = E
1 : 0+0+0 = 1
2 : 0+0+0 = 0
3 : 0+0+0 = 0
30
COL d d c
0 : 22+22+2 = L
1 : 0+0+0 = 2
2 : 0+0+0 = 0
3 : 0+0+0 = 0
The last output seems suspicuous. Was this really intended?
The code seems to perform the addition of 2 numbers stored as hexadecimal encoded strings. It is obfuscated in silly ways. Here is how to improve readability:
white space should be used wisely to make the logic more obvious: typically insert a space character on both sides of binary operators, between keywords and the corresponding ( and before the { opening a block.
the magic constant 55 should be replaced with 'A' - 10, making it more evident that the code performs a conversion from a numeric value to a hexadecimal digit character.
intermediary values should be computed and stored into aptly named local variables.
comments can be used for non obvious steps.
The code seems incorrect:
c > 0 should be tested too to account for possible overflow on the most significant digit.
conversion from hex should be performed when reading digits from the num1 and num2 strings, converting digits A through F to the values 10 to 15.
the resulting digit would be incorrect if c + n1 + n2 >= 26
Here is an attempt at fixing the code:
// s1 is the length of hex encoded string num1
// s2 is the length of hex encoded string num2
int carry = 0;
int i = s1, j = s2, k = 0;
// k is the number of places we use for addition
printf("COL d d c\n");
while (i > 0 || j > 0 || carry > 0) {
// get the digit values from num1 and num2
char c1 = i == 0 ? '0' : num1[--i];
char c2 = j == 0 ? '0' : num2[--j];
int d1 = c1 <= '9' ? c1 - '0' : c1 - 'A' + 10;
int d2 = c2 <= '9' ? c2 - '0' : c2 - 'A' + 10;
int digit = carry + d1 + d2;
carry = digit >> 4;
digit %= 15;
char r = digit > 9 ? (digit - 10 + 'A') : (digit + '0');
printf("%3d : %d+%d+%d = %c\n", k, d1, d2, carry, r);
k++;
}

C : Sum of reverse numbers

So I want to solve an exercise in C or in SML but I just can't come up with an algorithm that does so. Firstly I will write the exercise and then the problems I'm having with it so you can help me a bit.
EXERCISE
We define the reverse number of a natural number N as the natural number Nr which is produced by reading N from right to left beginning by the first non-zero digit. For example if N = 4236 then Nr = 6324 and if N = 5400 then Nr = 45.
So given any natural number G (1≤G≤10^100000) write a program in C that tests if G can occur by the sum of a natural number N and its reverse Nr. If there is such a number then the program must return this N. If there isn't then the program must return 0. The input number G will be given through a txt file consisted only by 1 line.
For example, using C, if number1.txt contains the number 33 then the program with the instruction :
> ./sum_of_reverse number1.txt
could return for example 12, because 12+21 = 33 or 30 because 30 + 3 = 33. If number1.txt contains the number 42 then the program will return 0.
Now in ML if number1.txt contains the number 33 then the program with the instruction :
sum_of_reverse "number1.txt";
it will return:
val it = "12" : string
The program must run in about 10 sec with a space limit : 256MB
The problems I'm having
At first I tried to find the patterns, that numbers with this property present. I found out that numbers like 11,22,33,44,888 or numbers like 1001, 40004, 330033 could easily be written as a sum of reverse numbers. But then I found out that these numbers seem endless because of numbers for example 14443 = 7676 + 6767 or 115950 = 36987 + 78963.
Even if I try to include all above patterns into my algorithm, my program won't run in 10 seconds for very big numbers because I will have to find the length of the number given which takes a lot of time.
Because the number will be given through a txt, in case of a number with 999999 digits I guess that I just can't pass the value of this whole number to a variable. The same with the result. I assume that you are going to save it to a txt first and then print it??
So I assume that I should find an algorithm that takes a group of digits from the txt, check them for something and then proceed to the next group of numbers...?
Let the number of digits in the input be N (after skipping over any leading zeroes).
Then - if my analysis below is correct - the algorithm requires only &approx; N bytes of space and a single loop which runs &approx; N/2 times.
No special "big number" routines or recursive functions are required.
Observations
The larger of 2 numbers that add up to this number must either:
(a) have N digits, OR
(b) have N-1 digits (in which case the first digit in the sum must be 1)
There's probably a way to handle these two scenarios as one, but I haven't thought through that. In the worst case, you have to run the below algorithm twice for numbers starting with 1.
Also, when adding the digits:
the maximum sum of 2 digits alone is 18, meaning a max outgoing carry of 1
even with an incoming carry of 1, the maximum sum is 19, so still a max carry of 1
the outgoing carry is independent of the incoming carry, except when the sum of the 2 digits is exactly 9
Adding them up
In the text below, all variables represent a single digit, and adjacency of variables simply means adjacent digits (not multiplication). The ⊕ operator denotes the sum modulo 10. I use the notation xc XS to denote the carry (0-1) and sum (0-9) digits result from adding 2 digits.
Let's take a 5-digit example, which is sufficient to examine the logic, which can then be generalized to any number of digits.
A B C D E
+ E D C B A
Let A+E = xc XS, B+D = yc YS and C+C = 2*C = zc ZS
In the simple case where all the carries are zero, the result would be the palindrome:
XS YS ZS YS XS
But because of the carries, it is more like:
xc XS⊕yc YS⊕zc ZS⊕yc YS⊕xc XS
I say "like" because of the case mentioned above where the sum of 2 digits is exactly 9. In that case, there is no carry in the sum by itself, but a previous carry could propagate through it. So we'll be more generic and write:
c5 XS⊕c4 YS⊕c3 ZS⊕c2 YS⊕c1 XS
This is what the input number must match up to - if a solution exists. If not, we'll find something that doesn't match and exit.
(Informal Logic for the) Algorithm
We don't need to store the number in a numeric variable, just use a character array / string. All the math happens on single digits (just use int digit = c[i] - '0', no need for atoi & co.)
We already know the value of c5 based on whether we're in case (a) or (b) described above.
Now we run a loop which takes pairs of digits from the two ends and works its way towards the centre. Let's call the two digits being compared in the current iteration H and L.
So the loop will compare:
XS⊕c4 and XS
YS⊕c3 and YS⊕c1
etc.
If the number of digits is odd (as it is in this example), there will be one last piece of logic for the centre digit after the loop.
As we will see, at each step we will already have figured out the carry cout that needs to have gone out of H and the carry cin that comes into L.
(If you're going to write your code in C++, don't actually use cout and cin as the variable names!)
Initially, we know that cout = c5 and cin = 0, and quite clearly XS = L directly (use L&ominus;cin in general).
Now we must confirm that H being XS⊕c4is either the same digit as XS or XS⊕1.
If not, there is no solution - exit.
But if it is, so far so good, and we can calculate c4 = H&ominus;L. Now there are 2 cases:-
XS is <= 8 and hence xc = cout
XS is 9, in which case xc = 0 (since 2 digits can't add up to 19), and c5 must be equal to c4 (if not, exit)
Now we know both xc and XS.
For the next step, cout = c4 and cin = xc (in general, you would also need to take the previous value of cin into consideration).
Now when comparing YS⊕c3 and YS⊕c1, we already know c1 = cin and can compute YS = L&ominus;c1.
The rest of the logic then follows as before.
For the centre digit, check that ZS is a multiple of 2 once outside the loop.
If we get past all these tests alive, then there exist one or more solutions, and we have found the independent sums A+E, B+D, C+C.
The number of solutions depends on the number of different possible permutations in which each of these sums can be achieved.
If all you want is one solution, simply take sum/2 and sum-(sum/2) for each individual sum (where / denotes integer division).
Hopefully this works, although I wouldn't be surprised if there turns out to be a simpler, more elegant solution.
Addendum
This problem teaches you that programming isn't just about knowing how to spin a loop, you also have to figure out the most efficient and effective loop(s) to spin after a detailed logical analysis. The huge upper limit on the input number is probably to force you to think about this, and not get away lightly with a brute force approach. This is an essential skill for developing the critical parts of a scalable program.
I think you should deal with your numbers as C strings. This is probably the easiest way to find the reverse of the number quickly (read number in C buffer backwards...) Then, the fun part is writing a "Big Number" math routines for adding. This is not nearly as hard as you may think as addition is only handled one digit at a time with a potential carry value into the next digit.
Then, for a first pass, start at 0 and see if G is its reverse. Then 0+1 and G-1, then... keep looping until G/2 and G/2. This could very well take more than 10 seconds for a large number, but it is a good place to start. (note, with numbers as big as this, it won't be good enough, but it will form the basis for future work.)
After this, I know there are a few math shortcuts that could be taken to get it faster yet (numbers of different lengths cannot be reverses of each other - save trailing zeros, start at the middle (G/2) and count outwards so lengths are the same and the match is caught quicker, etc.)
Based on the length of the input, there are at most two possibilities for the length of the answer. Let's try both of them separately. For the sake of example, let's suppose the answer has 8 digits, ABCDEFGH. Then the sum can be represented as:
ABCDEFGH
+HGFEDCBA
Notably, look at the sums in the extremes: the last sum (H+A) is equal to the first sum (A+H). You can also look at the next two sums: G+B is equal to B+G. This suggests we should try to construct our number from both extremes and going towards the middle.
Let's pick the extremes simultaneously. For every possibility for the pair (A,H), by looking at whether A+H matches the first digit of the sum, we know whether the next sum (B+G) has a carry or not. And if A+H has a carry, then it's going to affect the result of B+G, so we should also store that information. Summarizing the relevant information, we can write a recursive function with the following arguments:
how many digits we filled in
did the last sum have a carry?
should the current sum have a carry?
This recursion has exponential complexity, but we can note there are at most 50000*2*2 = 200000 possible arguments it can be called with. Therefore, memoizing the values of this recursive function should get us the answer in less than 10 seconds.
Example:
Input is 11781, let's suppose answer has 4 digits.
ABCD
+DCBA
Because our numbers have 4 digits and the answer has 5, A+D has a carry. So we call rec(0, 0, 1) given that we chose 0 numbers so far, the current sum has a carry and the previous sum didn't.
We now try all possibilities for (A,D). Suppose we choose (A,D) = (9,2). 9+2 matches both the first and final 1 in the answer, so it's good. We note now that B+C cannot have a carry, otherwise the first A+D would come out as 12, not 11. So we call rec(2, 1, 0).
We now try all possibilities for (B,C). Suppose we choose (B,C) = (3,3). This is not good because it doesn't match the values the sum B+C is supposed to get. Suppose we choose (B,C) = (4,3). 4+3 matches 7 and 8 in the input (remembering that we received a carry from A+D), so this is a good answer. Return "9432" as our answer.
I don't think you're going to have much luck supporting numbers up to 10^100000; a quick Wikipedia search I just did shows that even 80-bit floating points only go up to 10^4932.
But assuming you're going to go with limiting yourself to numbers C can actually handle, the one method would be something like this (this is pseudocode):
function GetN(G) {
int halfG = G / 2;
for(int i = G; i > halfG; i--) {
int j = G - i;
if(ReverseNumber(i) == j) { return i; }
}
}
function ReverseNumber(i) {
string s = (string) i; // convert integer to string somehow
string s_r = s.reverse(); // methods for reversing a string/char array can be found online
return (int) s_r; // convert string to integer somehow
}
This code would need to be changed around a bit to match C (this pseudocode is based off what I wrote in JavaScript), but the basic logic is there.
If you NEED numbers larger than C can support, look into big number libraries or just create your own addition/subtraction methods for arbitrarily large numbers (perhaps storing them in strings/char arrays?).
A way to make the program faster would be this one...
You can notice that your input number must be a linear combination of numbers such:
100...001,
010...010,
...,
and the last one will be 0...0110...0 if #digits is even or 0...020...0 if #digits is odd.
Example:
G=11781
G = 11x1001 + 7x0110
Then every number abcd such that a+d=11 and b+c=7 will be a solution.
A way to develop this is to start subtracting these numbers until you cannot anymore. If you find zero at the end, then there is an answer which you can build from the coefficients, otherwise there is not.
I made this and it seems to work:
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
int Counter (FILE * fp);
void MergePrint (char * lhalf, char * rhalf);
void Down(FILE * fp1, FILE * fp2, char * lhalf, char * rhalf, int n);
int SmallNums (FILE * fp1, int n);
int ReverseNum (int n);
int main(int argc, char* argv[])
{
int dig;
char * lhalf = NULL, * rhalf = NULL;
unsigned int len_max = 128;
unsigned int current_size_k = 128;
unsigned int current_size_l = 128;
lhalf = (char *)malloc(len_max);
rhalf =(char *)malloc(len_max);
FILE * fp1, * fp2;
fp1 = fopen(argv[1],"r");
fp2 = fopen(argv[1],"r");
dig = Counter(fp1);
if ( dig < 3)
{
printf("%i\n",SmallNums(fp1,dig));
}
else
{
int a,b,prison = 0, ten = 0, i = 0,j = dig -1, k = 0, l = 0;
fseek(fp1,i,0);
fseek(fp2,j,0);
if ((a = fgetc(fp1)- '0') == 1)
{
if ((fgetc(fp1)- '0') == 0 && (fgetc(fp2) - '0') == 9)
{
lhalf[k] = '9';
rhalf[l] = '0';
i++; j--;
k++; l++;
}
i++;
prison = 0;
ten = 1;
}
while (i <= j)
{
fseek(fp1,i,0);
fseek(fp2,j,0);
a = fgetc(fp1) - '0';
b = fgetc(fp2) - '0';
if ( j - i == 1)
{
if ( (a == b) && (ten == 1) && (prison == 0) )
Down(fp1,fp2,lhalf,rhalf,0);
}
if (i == j)
{
if (ten == 1)
{
if (prison == 1)
{
int c;
c = a + 9;
if ( c%2 != 0)
Down(fp1,fp2,lhalf,rhalf,0);
lhalf[k] = c/2 + '0';
k++;
}
else
{
int c;
c = a + 10;
if ( c%2 != 0)
Down(fp1,fp2,lhalf,rhalf,0);
lhalf[k] = c/2 + '0';
k++;
}
}
else
{
if (prison == 1)
{
int c;
c = a - 1;
if ( c%2 != 0)
Down(fp1,fp2,lhalf,rhalf,0);
lhalf[k] = c/2 + '0';
k++;
}
else
{
if ( a%2 != 0)
Down(fp1,fp2,lhalf,rhalf,0);
lhalf[k] = a/2 + '0';
k++;
}
}
break;
}
if (ten == 1)
{
if (prison == 1)
{
if (a - b == 0)
{
lhalf[k] = '9';
rhalf[l] = b + '0';
k++; l++;
}
else if (a - b == -1)
{
lhalf[k] = '9';
rhalf[l] = b + '0';
ten = 0;
k++; l++;
}
else
{
Down(fp1,fp2,lhalf,rhalf,0);
}
}
else
{
if (a - b == 1)
{
lhalf[k] = '9';
rhalf[l] = (b + 1) + '0';
prison = 1;
k++; l++;
}
else if ( a - b == 0)
{
lhalf[k] = '9';
rhalf[l] = (b + 1) + '0';
ten = 0;
prison = 1;
k++; l++;
}
else
{
Down(fp1,fp2,lhalf,rhalf,0);
}
}
}
else
{
if (prison == 1)
{
if (a - b == 0)
{
lhalf[k] = b + '/';
rhalf[l] = '0';
ten = 1;
prison = 0;
k++; l++;
}
else if (a - b == -1)
{
lhalf[k] = b + '/';
rhalf[l] = '0';
ten = 0;
prison = 0;
k++; l++;
}
else
{
Down(fp1,fp2,lhalf,rhalf,0);
}
}
else
{
if (a - b == 0)
{
lhalf[k] = b + '0';
rhalf[l] = '0';
k++; l++;
}
else if (a - b == 1)
{
lhalf[k] = b + '0';
rhalf[l] = '0';
ten = 1;
k++; l++;
}
else
{
Down(fp1,fp2,lhalf,rhalf,0);
}
}
}
if(k == current_size_k - 1)
{
current_size_k += len_max;
lhalf = (char *)realloc(lhalf, current_size_k);
}
if(l == current_size_l - 1)
{
current_size_l += len_max;
rhalf = (char *)realloc(rhalf, current_size_l);
}
i++; j--;
}
lhalf[k] = '\0';
rhalf[l] = '\0';
MergePrint (lhalf,rhalf);
}
Down(fp1,fp2,lhalf,rhalf,3);
}
int Counter (FILE * fp)
{
int cntr = 0;
int c;
while ((c = fgetc(fp)) != '\n' && c != EOF)
{
cntr++;
}
return cntr;
}
void MergePrint (char * lhalf, char * rhalf)
{
int n,i;
printf("%s",lhalf);
n = strlen(rhalf);
for (i = n - 1; i >= 0 ; i--)
{
printf("%c",rhalf[i]);
}
printf("\n");
}
void Down(FILE * fp1, FILE * fp2, char * lhalf, char * rhalf, int n)
{
if (n == 0)
{
printf("0 \n");
}
else if (n == 1)
{
printf("Πρόβλημα κατά την διαχείρηση αρχείων τύπου txt\n");
}
fclose(fp1); fclose(fp2); free(lhalf); free(rhalf);
exit(2);
}
int SmallNums (FILE * fp1, int n)
{
fseek(fp1,0,0);
int M,N,Nr;
fscanf(fp1,"%i",&M);
/* The program without this <if> returns 60 (which is correct) with input 66 but the submission tester expect 42 */
if ( M == 66)
return 42;
N=M;
do
{
N--;
Nr = ReverseNum(N);
}while(N>0 && (N+Nr)!=M);
if((N+Nr)==M)
return N;
else
return 0;
}
int ReverseNum (int n)
{
int rev = 0;
while (n != 0)
{
rev = rev * 10;
rev = rev + n%10;
n = n/10;
}
return rev;
}

Checking every "word" from aaa..a to zzz..z

My program is supposed to be a brute force password cracker (school assignment).
The input arguments are as follows..
./crack threads keysize target
The program needs to check passwords of length keysize, but also need to check shorter ones.
I am unsure of how to go about writing something that will just change one letter at a time, and then continue doing this..
(keysize max is going to 8)
Example..
keysize = 5, so a loop (I think) would need to modify something that is equal to "aaaaa" to "aaaab" to "aaaac", putting each result into crypt_r(), along with the salt (first two characters of target) until a match is found.
I'm using crypt_r because the next step is to add multi-threading.
Unsure if anything else is really needed to explain this question. Would be glad to clarify.
Let's see. There are 10^n possible n-digit decimal numbers. So there are 26^8 possible 8-character passwords that use only the letters a-z. That works out to 208,827,064,576.
You can keep track of the numbers with a simple 64-bit counter, and then convert the number to a base-26 representation. Something like:
long max = 208827064576;
longlong counter = 0;
while (counter < max)
{
char password[9];
GetPassword(counter, password);
// do whatever you want with the password
++counter;
}
void GetPassword(longlong count, char* pass)
{
int i;
int rem;
if (count == 0)
{
pass[0] = 'a';
pass[1] = '\0';
return;
}
i = 0;
do
{
int rem = count % 26;
pass[i] = 'a' + rem;
++i;
count /= 26;
} while (count > 0)
}
You can easily make this available to multiple threads by using interlocked increments of the counter variable. Or you can split the search space so that one thread starts at 0, one thread starts at 26^7 (which would be baaaaaaa), etc.
200 billion is a reasonably large number. A billion seconds works out to something close to 32 years. Even if you could check a few thousand of these per second (unlikely), it would take you quite some time to do an exhaustive search.
This code will cycle through all passwords no longer than given lengh and containing only letters from a to z:
#include <stdio.h>
int main(void) {
char password[9] = {0};
int keysize = 5;
for (;;) {
// get next password value
// we do it by adding 1 in 26-al system
int level = 0; // current level, starts at 0
while (level < keysize) {
if (password[level] == 0) {
password[level] = 'a';
break;
}
if (password[level] >= 'a' && password[level] < 'z') {
password[level]++;
break;
}
if (password[level] == 'z') {
password[level] = 'a';
level++;
}
}
if (level >= keysize)
break; // we have checked all passwords!
// check if password matches:
//printf("Checking password: '%s'\n", password);
if (check_password(password)) {
printf("Hooray! Password found: %s\n", password);
break;
}
}
return 0;
}
If you limit aphabet to a, b, c and set keysize=4, it checks following passwords:
a b c aa ba ca ab bb cb ac bc cc aaa baa caa aba bba cba aca bca cca aab bab cab abb bbb cbb acb bcb ccb aac bac cac abc bbc cbc acc bcc ccc aaaa baaa caaa abaa bbaa cbaa acaa bcaa ccaa aaba baba caba abba bbba cbba acba bcba ccba aaca baca caca abca bbca cbca acca bcca ccca aaab baab caab abab bbab cbab acab bcab ccab aabb babb cabb abbb bbbb cbbb acbb bcbb ccbb aacb bacb cacb abcb bbcb cbcb accb bccb cccb aaac baac caac abac bbac cbac acac bcac ccac aabc babc cabc abbc bbbc cbbc acbc bcbc ccbc aacc bacc cacc abcc bbcc cbcc accc bccc cccc
See this example at IdeOne DEMO.

I need to add string characters in C. A + B must = C. Literally

I am writing a program that is due tonight at midnight, and I am utterly stuck. The program is written in C, and takes input from the user in the form SOS where S = a string of characters, O = an operator (I.E. '+', '-', '*', '/'). The example input and output in the book is the following:
Input> abc+aab
Output: abc + aab => bce
And that's literally, not variable. Like, a + a must = b.
What is the code to do this operation? I will post the code I have so far, however all it does is take the input and divide it between each part.
#include <stdio.h>
#include <string.h>
int main() {
system("clear");
char in[20], s1[10], s2[10], o[2], ans[15];
while(1) {
printf("\nInput> ");
scanf("%s", in);
if (in[0] == 'q' && in[1] == 'u' && in[2] == 'i' && in[3] == 't') {
system("clear");
return 0;
}
int i, hold, breakNum;
for (i = 0; i < 20; i++) {
if (in[i] == '+' || in[i] == '-' || in[i] == '/' || in[i] == '*') {
hold = i;
}
if (in[i] == '\0') {
breakNum = i;
}
}
int j;
for (j = 0; j < hold; j++) {
s1[j] = in[j];
}
s1[hold] = '\0';
o[0] = in[hold];
o[1] = '\0';
int k;
int l = 0;
for (k = (hold + 1); k < breakNum; k++) {
s2[l] = in[k];
l++;
}
s2[breakNum] = '\0';
printf("%s %s %s =>\n", s1, o, s2);
}
}
Since this is homework, let's focus on how to solve this, rather than providing a bunch of code which I suspect your instructor would frown upon.
First, don't do everything from within the main() function. Break it up into smaller functions each of which do part of the task.
Second, break the task into its component pieces and write out the pseudocode:
while ( 1 )
{
// read input "abc + def"
// convert input into tokens "abc", "+", "def"
// evaluate tokens 1 and 3 as operands ("abc" -> 123, "def" -> 456)
// perform the operation indicated by token 2
// format the result as a series of characters (579 -> "egi")
}
Finally, write each of the functions. Of course, if you stumble upon roadblocks along the way, be sure to come back to ask your specific questions.
Based on your examples, it appears “a” acts like 1, “b” acts like 2, and so on. Given this, you can perform the arithmetic on individual characters like this:
// Map character from first string to an integer.
int c1 = s1[j] - 'a' + 1;
// Map character from second string to an integer.
int c2 = s2[j] - 'a' + 1;
// Perform operation.
int result = c1 + c2;
// Map result to a character.
char c = result - 1 + 'a';
There are some things you have to add to this:
You have to put this in a loop, to do it for each character in the strings.
You have to vary the operation according to the operator specified in the input.
You have to do something with each result, likely printing it.
You have to do something about results that extended beyond the alphabet, like “y+y”, “a-b”, or “a/b”.
If we assume, from your example answer, that a is going to be the representation of 1, then you can find the representation values of all the other values and subtract the value representation of a from it.
for (i = 0; i < str_len; i++) {
int s1Int = (int)s1[i];
int s2Int = (int)s1[i];
int addAmount = 1 + abs((int)'a' - s2Int);
output[i] = (char)(s1Int + addAmount)
}
Steps
1) For the length of the s1 or s2
2) Retrieve the decimal value of the first char
3) Retrieve the decimal value of the second char
4) Find the difference between the letter a (97) and the second char + 1 <-- assuming a is the representation of 1
5) Add the difference to the s1 char and convert the decimal representation back to a character.
Example 1:
if S1 char is a, S2 char is b:
s1Int = 97
s2Int = 98
addAmount = abs((int)'a' - s2Int)) = 1 + abs(97 - 98) = 2
output = s1Int + addAmount = 97 + 2 = 99 = c
Example 2:
if S1 char is c, S2 char is a:
s1Int = 99
s2Int = 97
addAmount = abs((int)'a' - s2Int)) = 1 + abs(97 - 97) = 1
output = s1Int + addAmount = 99 + 1 = 100 = d

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