UVA - 11645 Bits

2015-07-20 17:50:53 · 作者: · 浏览: 3

Description

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Problem J
Bits
Input:
Standard Input

Output: Standard Output

A bit is a binary digit, taking a logical value of either "1" or "0" (also referred to as "true" or "false" respectively). And every decimal number has a binary representation which is actually a series of bits. If a bit of a number is ?1? and it's next bit is also ?1? then we can say that the number has a 1 adjacent bit. And you have to find out how many times this scenario occurs for all numbers up to N.

Examples:

Number Binary Adjacent Bits

12 1100 1

15 1111 3

27 11011 2

Input

For each test case, you are given an integer number (0 <= N <= ((2^63)-2)), as described in the statement. The last test case is followed by a negative integer in a line by itself, denoting the end of input file.

Output

For every test case, print a line of the form ?Case X: Y?, where X is the serial of output (starting from 1) and Y is the cumulative summation of all adjacent bits from 0 to N.

Sample Input Output for Sample Input

0

6

15

20

21

22

-1

Case 1: 0

Case 2: 2

Case 3: 12

Case 4: 13

Case 5: 13

Case 6: 14

题意:统计0-n中每个数存在两个连续的1的总个数。

思路:和的思路是一样的,也是枚举两个1的位置。 注意当11出现的位置和原数一样的时候,还要考虑+1或者+2的情况,还有就是用两个较大的数来储存结果。

#include 
  
   
#include 
   
     #include 
    
      #include 
     
       using namespace std; long long aa,bb; void cal(long long n) { bb += n; if (bb >= (1000000000000ll)) { aa += bb / (1000000000000ll); bb %= (1000000000000ll); } } int main() { int cas = 1; long long n; long long a,b,c,m; while (cin >> n && n >= 0) { aa = bb = 0; m = 1, a = n; for (int i = 0; i < 62; i++) { cal((n>>2)*m); if ((n & 3) == 3) cal((a&((1ll<
      
       >= 1; } printf("Case %d: ", cas++); if(aa) { cout << aa; printf("%012lld\n",bb); } else cout<