Hdu 2116

本文介绍了如何判断两个32位或64位整数相加是否超出整数范围,提供了算法实现和样例输入输出。

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Problem Description
As we all know, in the computer science, an integer A is in the range of 32-signed integer, which means the integer A is between -2^31 and (2^31)-1 (inclusive), and A is a 64-signed integer, which means A is between -2^63 and (2^63)-1(inclusive). Now we give the K-signed range, and two K-signed integers A and B, you should check whether the sum of A and B is beyond the range of K-signed integer or not.
 

Input
There will be many cases to calculate. In each case, there comes the integer K (2<=K<=64) first in a single line. Then following the line, there is another single line which has two K-signed integers A and B.
 

Output
For each case, you should estimate whether the sum is beyond the range. If exceeded, print “Yes”, otherwise “WaHaHa”.
 

Sample Input
  
  
32 100 100
 

Sample Output
  
  
WaHaHa


对于这题来说的话就是一道简单的数学题;

代码:

#include<stdio.h>
__int64  Pow(int n)
{
 __int64  s=1;
 int i;
 for(i=1;i<=n;i++)
    s*=2;
 return s;
}
int main()
{
 int n,f;
 __int64  t,a,b,min,max;
 while(scanf("%d",&n)!=EOF)
 {
  scanf("%I64d %I64d",&a,&b);
  max=Pow(n-1);
  min=-max;
  max--;
  if(n==64){
   f=0;
   if(a<0 && b<0){
    t=min-a;
    if(t>b)  f=1;
   }
   else if(a>0 && b>0){
    t=max-a;
    if(b>t)  f=1;
   }
   if(f) printf("Yes\n");
   else  printf("WaHaHa\n");
   continue;
  }
  if((a+b)>max || (a+b)<min)  printf("Yes\n");
  else printf("WaHaHa\n");
 }
 return 0;
} 


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