NOJ [1173] Birdlike Angry Pig_checksum algorithmc语言noj-优快云博客

本文链接：https://blog.youkuaiyun.com/Guard_Mine/article/details/38381391

通过算法解决了一群愤怒的小鸟和猪之间的复仇问题。利用位运算找出混入鸟群中的特务，采用“AND”操作来识别特务的身份。

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问题描述
There's no end to revenge.
Pigs like to eat birds' eggs, so birds decide to revenge.
For this, pigs decide to revenge as well.
Pigs give a task to a birdlike pig. They let he sneak into the birds group so that they can destroy the birds group.

Every bird has a ID number (It may not be unique). To let pigs know, the birdlike pig makes the "AND operation" amount all the birds' ID number and sign himself to the answer.
```
For example:
Birds are signed as 5, 3, 4. So the birdlike pig signs himself as (5 & 3 & 4 = 0).
```
One day, a group birds pass by pigs' home. So the angry pig want to know whether the birdlike pig is in.
输入
This problem has several cases. The first line of each case is an integer N (2 <= N <= 100 000).
Then follows a line with N integers, indicates the ID of each bird/birdlike pig.
输出

For each case, if you can find the birdlike pig then output the ID of birdlike pig. Or output 'CAUTION: NO BIRDLIKE'.

构造一个数Ai=bird[1]&bird[2]&.....&bird[i-1]&bird[i+1]&......bird[n],

与乘积分析类似，将Ai分为2部分，分别用数组C，D表示

则C[i]=C[i-1]&bird[i]，D[i]=D[i+1]&bird[i+1 ]

#include<stdio.h>
#include<string.h>

int bird[100010];
int first[100010];
int last[100010];
int main()
{
  int n;
  while(~scanf("%d",&n))
  {
    for(int i=1;i<=n;i++)
    {
      scanf("%d",&bird[i]);
      if(i==1)
        first[1]=bird[1];
      else
        first[i]=first[i-1]&bird[i];
    }
    for(int i=n;i>=1;i--)
      if(i==n)
        last[n]=bird[n];
      else
        last[i]=(last[i+1]&bird[i]);
    bool p=false;
    for(int i=2;i<=n-1;i++)
    {
      if((first[i-1]&last[i+1])==bird[i])
      {
        printf("%d\n",bird[i]);
        p=true;
        break;
      }
    }
    if(p)
      continue;
    else
    {
      if(bird[1] == last[2])
        printf("%d\n",bird[1] );
      else if(bird[n] == first[n-1])
        printf("%d\n",bird[n] );
      else
        printf("CAUTION: NO BIRDLIKE\n");
    }
  }
  return 0;
}