hdoj.1390 Binary Numbers 20140821

Binary Numbers

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)

Total Submission(s): 2779    Accepted Submission(s): 1717

Problem Description

Given a positive integer n, find the positions of all 1's in its binary representation. The position of the least significant bit is 0.


Example

The positions of 1's in the binary representation of 13 are 0, 2, 3.


Task

Write a program which for each data set:

reads a positive integer n,

computes the positions of 1's in the binary representation of n,

writes the result.

 

Input

The first line of the input contains exactly one positive integer d equal to the number of data sets, 1 <= d <= 10. The data sets follow.

Each data set consists of exactly one line containing exactly one integer n, 1 <= n <= 10^6.

 

Output

The output should consists of exactly d lines, one line for each data set.

Line i, 1 <= i <= d, should contain increasing sequence of integers separated by single spaces - the positions of 1's in the binary representation of the i-th input number.

 

Sample Input

113

 

Sample Output

0 2 3
#include<stdio.h>#include<string.h>int main(){    int t,n,i,j,s[50];    scanf("%d",&t);    while(t--){        scanf("%d",&n);        int x=2;        memset(s,0,sizeof(s));        for(i=1;;i++){            if(x*2>n) break;            x*=2;        }        j=i;        while(n>=0){            if(n-x>=0){                s[j]=1;                n-=x;            }            //else x/=2;            if(j==0) break;            x/=2;            j--;        }        x=0;        for(j=0;j<=i;j++){            if(s[j]){                if(x==0){                    printf("%d",j);x++;                }                else printf(" %d",j);            }        }        printf("\n");    }    return 0;}