A Problem I faced using Bitwise Operators in C (HackerRank) - c

HackerRank link
In this challenge, you will use logical bitwise operators. All data is stored in its binary representation. The logical operators, and C language, use 1 to represent true and 0 to represent false. The logical operators compare bits in two numbers and return true or false, 0 or 1, for each bit compared.
Bitwise AND operator & The output of bitwise AND is 1 if the corresponding bits of two operands is 1. If either bit of an operand is 0, the result of corresponding bit is evaluated to 0. It is denoted by &.
Bitwise OR operator | The output of bitwise OR is 1 if at least one corresponding bit of two operands is 1. It is denoted by |.
Bitwise XOR (exclusive OR) operator ^ The result of bitwise XOR operator is 1 if the corresponding bits of two operands are opposite. It is denoted by ^.
For example, for integers 3 and 5,
3 = 00000011 (In Binary)
5 = 00000101 (In Binary)
AND operation OR operation XOR operation
00000011 00000011 00000011
& 00000101 | 00000101 ^ 00000101
________ ________ ________
00000001 = 1 00000111 = 7 00000110 = 6
you will be given an integer n and a threshold, k. For each number, find the maximum value of the logical and,or and xor when compared against all integers through n.
Example
n=3
k=3
The Results of the comparisons are below:
a b and or xor
1 2 0 3 3
1 3 1 3 2
2 3 2 3 1
For the and comparison, the maximum is 2. For the or comparison, none of the values is less than k, so the maximum is 0. For the xor comparison, the maximum value less than k is 2. The function should print:
2
0
2
Function Description
Complete the calculate_the_maximum function in the editor below.
calculate_the_maximum has the following parameters:
int n: the highest number to consider
int n: the highest number to consider
Prints
Print the maximum values for the and, or and xor comparisons, each on a separate line.
Input Format
The only line contains 2 space-separated integers, n and k.
Constraints
2 <= n <= (10)^3
2 <= k <= n
Sample Input 0
5 4
*Sample Output 0
2
3
3
** So This is My Answer**
#include <stdio.h>
#include <string.h>
#include <math.h>
#include <stdlib.h>
void calculate_the_maximum(int n, int k) {
int m1=0,m2=0,m3=0;
for (int x=1; x<n; x++){
for (int y=2; y<=n; y++){
//and
int a=x&y;
if((a>m1) && (a<k)){
m1=a;
};
//or
int b=x|y;
if((b>m2) && (b<k)){
m2=b;
};
//xor
int c=x^y;
if((c>m3) && (c<k)){
m3=c;
};
}
}
printf("%d \n",m1);
printf("%d \n",m2);
printf("%d \n",m3);
}
int main() {
int n, k;
scanf("%d %d", &n, &k);
calculate_the_maximum(n, k);
return 0;
}
And My Output is
3
3
3
Expected Output
2
3
3
What is the mistake of my code?

This was my answer
I first converted to binary then converted it back
#include <stdio.h>
#include <string.h>
#include <math.h>
#include <stdlib.h>
//Complete the following function.
void calculate_the_maximum(int n, int k)
{
int i,j,a,b;
int max_and = 0;
int max_or = 0;
int max_xor = 0;
for (i = 1; i < n+1; i++)
{
for (j = 1; j < n+1; j++)
{
if (j>i)
{
a = i;
b = j;
int count_1 = 0;
int sum_1 = 0;
int count_2 = 0;
int sum_2 = 0;
while (!(a==0))
{
sum_1 += (a%2)*(pow(10,count_1));
a = a/2;
count_1++;
}
while (!(b==0))
{
sum_2 += (b%2)*(pow(10,count_2));
b = b/2;
count_2++;
}
int sum_3 = 0;
int sum_4 = 0;
int sum_5 = 0;
int num_1 = 0;
int num_2 = 0;
int num_3 =0;
int count_3 = 0;
while (!((sum_1 == 0)&&(sum_2 == 0)))
{
if ((sum_1%10 == 1)&&(sum_2%10 == 1))
{
sum_3 += pow(10,count_3);
}
if ((sum_1%10 == 1)||(sum_2%10 == 1))
{
sum_4 += pow(10,count_3);
}
if (((sum_1%10 == 1)&&(sum_2%10 == 0))||((sum_1%10 == 0)&&(sum_2%10 == 1)))
{
sum_5 += pow(10,count_3);
}
sum_1 = sum_1/10;
sum_2 = sum_2/10;
count_3++;
}
int count_4 = 0;
while (!(sum_3 == 0))
{
num_1 += (sum_3%10)*(pow(2,count_4));
sum_3 = sum_3/10;
count_4++;
}
int count_5 = 0;
while (!(sum_4 == 0))
{
num_2 += (sum_4%10)*(pow(2,count_5));
sum_4 = sum_4/10;
count_5++;
}
int count_6 = 0;
while (!(sum_5 == 0))
{
num_3 += (sum_5%10)*(pow(2,count_6));
sum_5 = sum_5/10;
count_6++;
}
if ((max_and < num_1)&&(num_1<k))
{
max_and = num_1;
}
if ((max_or < num_2)&&(num_2<k))
{
max_or = num_2;
}
if ((max_xor < num_3)&&(num_3<k))
{
max_xor = num_3;
}
}
}
}
printf("%d\n%d\n%d",max_and,max_or,max_xor);
}
int main() {
int n, k;
scanf("%d %d", &n, &k);
if (!((n < 2)||(n > 1000)||(k < 2)||(k >n)))
{
calculate_the_maximum(n, k);
return 0;
}
else
{
printf("Error!\n");
return 1;
}
}

You shouldn't initialize "y" at 2. In your case, i and y can be the same values.
when i = 2, y can be equal to 2. But you cannot do this for the question. Start y from i+1.
void calculate_the_maximum(int n, int k)
{
int max_or = 0;
int max_and = 0;
int max_xor = 0;
int temp_xor = 0;
int temp_and = 0;
int temp_or = 0;
//or = xor + and;
for(int i = 1 ; i < n ; i++ )
{
for(int j = i+1 ; j <=n ; j++)
{
temp_xor = i ^ j;
temp_and = i & j;
temp_or = temp_xor + temp_and;
if (temp_xor > max_xor && temp_xor < k) max_xor = temp_xor;
if (temp_and > max_and && temp_and < k) max_and = temp_and;
if (temp_or > max_or && temp_or < k) max_or = temp_or;
}
}
//print
cout << max_and << endl << max_or << endl << max_xor;
}

#include <stdio.h>
#include <string.h>
#include <math.h>
#include <stdlib.h>
void calculate_the_maximum(int n, int k) {
int m1=0,m2=0,m3=0;
for (int x=1; x<n; x++){
for (int y=x+1; y<=n; y++){
//and
int a= x & y;
if((a>m1) && (a<k)){
m1=a;
};
//or
int b=x|y;
if((b>m2) && (b<k)){
m2=b;
};
//xor
int c=x^y;
if((c>m3) && (c<k)){
m3=c;
};
}
}
printf("%d \n",m1);
printf("%d \n",m2);
printf("%d \n",m3);
}
int main() {
int n, k;
scanf("%d %d", &n, &k);
calculate_the_maximum(n, k);
return 0;
}

Related

every k-th digit of a number in c

Given some natural numbers n and k, my goal is to write a C program that outputs a number formed by every k-th digit of n. I wrote a program as follows:
#include <stdio.h>
#include <math.h>
#define MAX 100
void printDigit(int n, int k)
{
int arr[MAX];
int i = 0;
int j, r;
while (n != 0) {
r = n % pow(10,k);
arr[i] = r;
i++;
n = n / pow(10,k);
}
for (j = i - 1; j > -1; j--) {
printf("%d ", arr[j]);
}
}
int main()
{
int n = 12345678;
int k = 2;
printDigit(n,k);
return 0;
}
The compiler says
error: invalid operands to binary % (have 'int' and 'double')
16 | r = n % pow(10,k);
I can't figure out what's the problem. Both n and 10^k are integers and % operation should be valid

A simple program for splitting numbers does not display zeroes

I wrote a simple program in c that accepts two numbers and then splits the first number considering the digits of the second number like this:
Input:
362903157 2313
Output:
36
290
3
157
Everything works just fine, except when there are zeroes in the first number, my program skips them. For instance the upper example gives me this output:
36 293 1 570
And that is mycode:
#include <stdio.h>
int nDigits(unsigned i) {
int n = 1;
while (i > 9) {
n++;
i /= 10;
}
return n;
}
// find the highest multiple of 10
int multipleOfTen(int num){
int multiple = 1;
while(multiple <= num){
multiple *= 10;
if(multiple > num){
multiple /= 10;
break;
}
}
return multiple;
}
int main(){
int n, m, digit;
scanf("%d %d", &n, &m);
int lengthOfM = nDigits(m);
for (int i = 0; i < lengthOfM; i++){
digit = m / multipleOfTen(m); //2
for(int j = 1; j <= digit; j++){
printf("%d", n/multipleOfTen(n));
n = n% multipleOfTen(n);
}
printf("\n");
m = m % multipleOfTen(m);
}
return 0;
}
What should I change in my program so that the zeroes won't be ignored?
Instead of calling multipleOfTen() in each loop, call it once and save the result for both n and m. Then in each loop divide those results by 10
#include <stdio.h>
int nDigits(unsigned i) {
int n = 1;
while (i > 9) {
n++;
i /= 10;
}
return n;
}
// find the highest multiple of 10
int multipleOfTen(int num){
int multiple = 1;
while(multiple <= num){
multiple *= 10;
if(multiple > num){
multiple /= 10;
break;
}
}
return multiple;
}
int main(){
int n, m, digit;
int i, j;
int n10, m10;
scanf("%d %d", &n, &m);
int lengthOfM = nDigits(m);
n10 = multipleOfTen(n); //get the multiple of ten once
m10 = multipleOfTen(m);
for ( i = 0; i < lengthOfM; i++){
digit = m / m10;
m10 /= 10;
for( j = 0; j < digit; j++){
printf("%d", n/n10);
n = n% n10;
n10 /= 10;// divide by 10
}
printf("\n");
m = m % multipleOfTen(m);
}
return 0;
}
I suppose an approach like this is inadmissible?
#include <stdio.h>
#include <string.h>
int main ( void ) {
char n[64];
char m[64];
char * p = n;
int i = 0;
int c;
scanf("%63[0-9] %63[0-9]", n, m);
while ((c = m[i++]) != '\0') {
int j = c - '0';
while (j-- > 0) if (*p) putchar(*p++);
putchar(' ');
}
putchar('\n');
return 0;
}
when n=903157 and after n = n% multipleOfTen(n); n becomes 3157 not 03157 so when u dividing again in line printf("%d", n/multipleOfTen(n)); it prints 3 not 0 what you want!!
Fix your code to produce right output.

C - Print all numbers with same count of set and unset bits

I have to print numbers with max N bits where count of bits set to 1 = count of bits set to 0. I ignoring leading zeros. I thinking that this applies only when count of bits is even.
My code:
int power(k) {
return 1 << k;
}
void print_numbers(int n){
n -= (n % 2); // FOR EVEN COUNT OF BITS
int exp = 1; // EXPONENTS WILL BE ODD (2^1, 2^3, 2^5, ...)
while (exp < n) {
int start = power(exp);
int end = power(exp + 1);
int ones = (exp + 1) / 2; // ALLOWED COUNT OF 1
for (int i = start; i < end; i++) {
int bits_count = 0;
for (int j = 0; j <= exp; j++){ // CHECK COUNT OF 1
bits_count += ((i >> j) & 1);
}
if (bits_count == ones){
printf("%d\n", i);
}
}
exp += 2;
}
For N = 12 this function print 637 numbers. Is this solution correct or am i wrong? Any idea for more efficient or better solution?
I came up with this, which is a totally different approach (and perfectible) but works:
#include <stdio.h>
void checker(int number)
{
int c;
int zeros = 0;
int ones = 0;
for (c = 31; c >= 0; c--)
{
if (number >> c & 1)
{
ones++;
}
else if(ones > 0)
{
zeros++;
}
}
if(zeros == ones)
{
printf("%i\n", number);
}
}
int main()
{
int c;
for (c = 4095; c >= 0; c--)
{
checker(c);
}
return 0;
}
Which get me 638 values (including 0)

How to divide digits and compare them, in C

Write a program that will find the largest number smaller than N that is totally different from a given number X. One number is totally different from other only if it doesn't contain any of the digits from the other number. N and X are read from standard input. The problem should be solved without the use of arrays.
Example Input 1: 400 897
Example Output 1: 366
Example Input 2: 1000 1236498
Example Output 2:777
No it's not homework, it was on one of the midterms and it's been killing me. I though about taking the first numbers last digit with %10 then taking the second numbers digit with %10 comparing them but...I just can't get it to work...I ended up with an endless loop...I just don't understand how to get every digit of the numbers and compare them to the other number.
#include <stdio.h>
int main () {
int N, X, num_N, num_X, i, lastDigit_N, lastDigit_X, flag, smaller_than_N;
scanf("%d%d", &N, &X);
smaller_than_N = N - 1;
for (i = smaller_than_N; i > 0; i--) {
num_N = i;
num_X = X;
flag = 0;
while (num_N > 0) {
lastDigit_N = num_N % 10;
while (num_X > 0) {
lastDigit_X = num_X % 10;
if (lastDigit_N == lastDigit_X) {
break;
}
else {
flag = 1;
}
num_X /= 10;
}
num_N /= 10;
}
if(flag) {
printf("%d", i);
break;
}
}
return 0;
}
You could build a bitmask for your numbers showing the digits which are contained.
uint16_t num2bitmask(int number)
{
uint16_t result = 0;
while (number) {
int digit = number % 10;
number /= 10;
result |= (1 << digit);
}
return result;
}
With this function, you can create your bitmask for X and then iterate from N-1 down to 1 until you find a value which doesn't have any bits in common with the other value.
If you have a number with digits d_1, d_2, ..., d_n, and you're allowed to use digits in the set D, then possible solutions look like:
d_1, ..., d_{i-1}, max(d in D | d < d_i), max(d in D), ..., max(d in D).
That is, the digits are the same up to some point, then the next digit is as large as possible while being below the input digit, then the rest are just as large as possible.
Not all these "solutions" will be valid, but if you iterate through them in reverse order (there's exactly n for an input number of size n), the first valid one you find is the answer.
Some code, including tests:
#include <stdio.h>
int digit_length(int a) {
int r = 0;
while (a) {
a /= 10;
r += 1;
}
return r;
}
int get_digit(int a, int k) {
while (k--) a /= 10;
return a % 10;
}
int largest_different(int a, int b) {
int lena = digit_length(a);
int invalid = b ? 0 : 1;
for (; b; b /= 10) invalid |= 1 << (b % 10);
int max_valid = 9;
while (max_valid >= 0 && (invalid & (1 << max_valid)))
max_valid--;
if (max_valid == -1) return -1;
for (int i = 0; i < lena; i++) {
int d = get_digit(a, i) - 1;
while (d >= 0 && (invalid & (1 << d)))d--;
if (d < 0) continue;
int solution = 0;
for (int k = lena - 1; k >= 0; k--) {
solution *= 10;
solution += (k < i ? max_valid : k > i ? get_digit(a, k) : d);
}
return solution;
}
return -1;
}
int main(int argc, char *argv[]) {
struct {int n; int x; int want;} examples[] = {
{400, 897, 366},
{1000, 1236498, 777},
{998, 123, 997},
};
int error = 0;
for (int i = 0; i < sizeof(examples) / sizeof(*examples); i++) {
int got = largest_different(examples[i].n, examples[i].x);
if (got != examples[i].want) {
error = 1;
printf("largest_different(%d, %d) = %d, want %d\n",
examples[i].n, examples[i].x, got, examples[i].want);
}
}
return error;
}
There's not always a solution. In that case, the function returns -1.

Generate all binary strings of length n with k bits set.(need to write on C)

Please help me to solve this task:
Generate all binary strings of length n with k bits set.(need to write on C)
for example:
n=5
k=3
11100
00111
11010
01011
**01110
11001
10011
**01101
**10110
10101
** can't generate these permutations
Code:
#include <stdio.h>
#define N 10
int main (void)
{
int mas[N]={0},kst,m,n1,z,a,b;
printf("\n\nVvedit` rozmirnist` masyvu: ");
scanf("%d",&kst);
printf("\n\nVvedit` kil`kist` odynyc`: ");
scanf("%d",&n1);
for(m=0;m1;m++)
mas[m]=1;
for(m=0;m<kst;m++)
printf("%d",mas[m]);
printf("\n");
for(m=0;m<n1;m++){
for(z=0;z<(kst-1);z++)
if((mas[z]==1) && (mas[z+1]==0)){
a=mas[z];
mas[z]=mas[z+1];
mas[z+1]=a;
for(b=0;b<kst;b++)
printf("%d",mas[b]);
printf("\n");
}
}
return 0;
}
I have solved this problem earlier! please find my code below! I hope this will help you out.
#include<stdio.h>
int NumberOfBitsSet(int number)
{
int BitsSet = 0;
while(number != 0)
{
if(number & 0x01)
{
BitsSet++;
}
number = number >> 1;
}
return BitsSet;
}
void PrintNumberInBinary(int number, int NumBits)
{
int val;
val = 1 << NumBits; // here val is the maximum possible number of N bits with only MSB set
while(val != 0)
{
if(number & val)
{
printf("1");
}
else
{
printf("0");
}
val = val >> 1;
}
}
int main()
{
int n,k,i;
int max,min;
printf("enter total number of bits and number of bits to be set:\n");
scanf("%d %d", &n, &k);
min = ((1 << k) - 1); //min possible values with k bits set
max = (min << (n-k)); //max possible value with k bits set!
//printf("%d %d", min, max);
for(i=0; i<= max; i++)
{
if(!(i<min))
{
if(NumberOfBitsSet(i) == k)
{
PrintNumberInBinary(i, (n-1));
printf("\n");
}
}
}
return 0;
}
Your code is a mess ;)
Seriously: first rule when solving a task in code is to write clean code, use sensible variable naming etc.
For tasks like this one I would suggest using this.
Now to your sample code: it would not compile and it is hard to read what you are trying to do. Formatted and with some comments:
#include <stdio.h>
#define N 10
int main(void)
{
int mas[N] = {0};
int kst, m, n1, z, a, b;
/* Read width ? */
printf("\n\nVvedit` rozmirnist` masyvu: ");
scanf("%d", &kst);
/* Read number of bit's set? */
printf("\n\nVvedit` kil`kist` odynyc`: ");
scanf("%d", &n1);
/* m1 is not defined, thus the loop give no meaning.
* Guess you are trying to set "bits" integers to 1.
*/
for (m = 0; m1; m++)
mas[m] = 1;
/* This should be in a function as 1. You do it more then once, and
* 2. It makes the code much cleaner and easy to maintain.
*/
for (m = 0; m < kst; m++)
printf("%d", mas[m]);
printf("\n");
for (m = 0; m < n1; m++) {
for (z = 0; z < (kst - 1); z++) {
if ((mas[z] == 1) && (mas[z + 1] == 0)) {
a = mas[z]; /* Same as a = 1; */
mas[z] = mas[z + 1]; /* Same as mas[z] = 0; */
mas[z + 1] = a; /* Same as mas[z + 1] = 1; */
/* Put this into a function. */
for (b = 0; b < kst; b++)
printf("%d", mas[b]);
printf("\n");
}
}
}
return 0;
}
The extensive use of printf when one are not sure of what is going on is a precious tool.
This is not a solution, (it is basically doing the same as your post, but split up), but a sample of something that might be easier to work with. I have also used a char array as C-string instead of integer array. Easier to work with in this situation.
If you want to use integer array I'd suggest you add a print_perm(int *perm, int width) helper function to get it out of the main code.
#include <stdio.h>
#define MAX_WIDTH 10
int get_spec(int *width, int *bits)
{
fprintf(stderr, "Enter width (max %-2d): ", MAX_WIDTH);
scanf("%d", width);
if (*width > MAX_WIDTH) {
fprintf(stderr, "Bad input: %d > %d\n", *width, MAX_WIDTH);
return 1;
}
fprintf(stderr, "Enter set bits (max %-2d): ", *width);
scanf("%d", bits);
if (*bits > MAX_WIDTH) {
fprintf(stderr, "Bad input: %d > %d\n", *bits, MAX_WIDTH);
return 1;
}
return 0;
}
void permutate(int width, int bits)
{
char perm[MAX_WIDTH + 1];
int i, j;
/* Set "bits" */
for (i = 0; i < width; ++i)
perm[i] = i < bits ? '1' : '0';
/* Terminate C string */
perm[i] = '\0';
fprintf(stderr, "\nPermutations:\n");
printf("%s\n", perm);
for (i = 0; i < bits; ++i) {
/* Debug print current perm and outer iteration number */
printf("%*s LOOP(%d) %s\n",
width, "", i, perm
);
for (j = 0; j < (width - 1); ++j) {
if (perm[j] == '1' && perm[j + 1] == '0') {
perm[j] = '0';
perm[j + 1] = '1';
printf("%s j=%d print\n",
perm, j
);
} else {
/* Debug print */
printf("%*s j=%d skip %s\n",
width, "", j, perm
);
}
}
}
}
int main(void)
{
int width, bits;
if (get_spec(&width, &bits))
return 1;
permutate(width, bits);
return 0;
}
If you want to list all of the permutations uniquely without doing "iterate and check", you can do something like this:
# Move peg x up m using s
# x is negative
# m is positive
def move(x, m, s):
for i in range(1, m+1):
s2 = list(s)
s2[x] = 0
s2[x - i] = 1
print(s2)
if x + 1 < 0:
move(x+1, i, s2)
# Print all unique permutations of
# n bits with k ones (and n-k zeros)
def uniqPerms(n, k):
s = [0 for _ in range(n-k)] + [1 for _ in range(k)]
print(s)
move(-k, n-k, s)
if __name__ == '__main__':
from sys import argv
uniqPerms(int(argv[1]), int(argv[2]))
The idea is that you inch the 1's up recursively, so that each movement produces a unique list (since a 1 is now somewhere none was before).
And you said it must be in C:
#include <stdio.h>
#include <stdlib.h>
enum { n = 8 };
struct string
{
char str[n + 1];
};
void move(int x, int m, string s)
{
for (int i = 0; i <= m; ++i)
{
string s2 = s;
s2.str[n + x] = '0';
s2.str[n + x - i] = '1';
printf("%s\n", s2.str);
if (x + 1 < 0)
move(x + 1, i, s2);
}
}
void uniqPerms(int k)
{
string s;
for (int i = 0; i < n - k; ++i)
s.str[i] = '0';
for (int i = n - k; i < n; ++i)
s.str[i] = '1';
s.str[n] = '\0';
printf("%s\n", s.str);
move(-k, n - k, s);
}
int main(int argc, char *argv[])
{
uniqPerms(atoi(argv[1]));
return 0;
}
try this
A[n-1]=0;
func(n-1);
A[n-1]=1;
func(n-1);
//Think simple people but please bear with me i love java
//Assume array A is globally defined
void Binary(int n)
{
if(n<1)
{
System.out.println(A);
}
else
{
A[n-1]=0;
Binary(n-1);
A[n-1]=1;
Binary(n-1);
}
}
here is the recursive solution
#include <iostream>
#include <vector>
using namespace std;
char v[4];
int count = 0;
void printString(){
int i;
for(i = 0; i < 4; i++){
cout << v[i] << " ";
}
cout <<count << endl;
}
void binary(int n){
if(n < 0){
if(count == 2)
printString();
}
else{
v[n] = '0';
binary(n - 1);
v[n] = '1';
count++;
binary(n-1);
count--;
}
}
int main(){
binary(3);
return 0;
}
#include<stdio.h>
int main(){
int n,k,i,j,a[50];
//lets suppose maximum size is 50
printf("Enter the value for n");
scanf("%d",&n);
printf("Enter the value for k");
scanf("%d",&k);
//create an initial bitstring of k 1's and n-k 0's;
for(i=0;i<n;i++){
if(k>0)
a[i]=1;
else
a[i]=0;
k--;
}
for(i=0;i<n;i++){
if(a[i]==1){
for(j=0;j<n;j++){
if(j!=i&&a[j]==0){
a[j]=1;a[i]=0;
for(k=0;k<n;k++){printf("%d\n",a[k]);}
a[i]=1; a[j]=0;
}}}}
return 0;
}
**If Complexity doesn't matter you can use the following code which are done in java. which will provide the desired output in o(2^n).Here I have find all the combination of 0 and 1 for the given n bits in array of size n.In case of K bit is set I have counted the number of 1 presented is equal to k using countBits() funtion.if so I have printed that array.
public class GenerateAllStringOfNBitsWithKBitsSet {
public static int a[] ={0,0,0,0,0};
static int k=3;
public static boolean countBits(){
int y=0;
for(int i=0;i<a.length;i++)
y += a[i] & 1 ;
if(y==k)
return true;
return false;
}
public static void gen(int n)
{
if(n<1)
{
if(countBits())
System.out.println(Arrays.toString(a));
}
else
{
a[n-1]=0;
gen(n-1);
a[n-1]=1;
gen(n-1);
}
}
public static void main(String[] args) {
GenerateAllStringOfNBitsWithKBitsSet.gen(a.length);
}
}

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