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hdu 5014 Number Sequence （贪心）

2024-07-22 21:00:34   226人阅读

Number Sequence

Time Limit: 4000/2000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)
Total Submission(s): 697    Accepted Submission(s): 332
Special Judge

Problem Description
There is a special number sequence which has n+1 integers. For each number in sequence, we have two rules:

● ai ∈ [0,n] 
● ai ≠ aj( i ≠ j )

For sequence a and sequence b, the integrating degree t is defined as follows(“⊕” denotes exclusive or):

t = (a0 ⊕ b0) + (a1 ⊕ b1) +···+ (an ⊕ bn)


(sequence B should also satisfy the rules described above)

Now give you a number n and the sequence a. You should calculate the maximum integrating degree t and print the sequence b.
 

Input
There are multiple test cases. Please process till EOF. 

For each case, the first line contains an integer n(1 ≤ n ≤ 105), The second line contains a0,a1,a2,...,an.
 

Output
For each case, output two lines.The first line contains the maximum integrating degree t. The second line contains n+1 integers b0,b1,b2,...,bn. There is exactly one space between bi and bi+1(0 ≤ i ≤ n - 1). Don’t ouput any spaces after bn.
 

Sample Input
4
2 0 1 4 3
 

Sample Output
20
1 0 2 3 4

随意写一个二进制数x=100100,总能找到唯一的一个数与它异或得到111111；对于每个N位二进制数，每次总使它与一个数异或得到11...11（N个1）。即为最优解，且唯一。

#include"stdio.h"
#include"math.h"
#include"string.h"
#define LL __int64
#define N 100005
int a[N],p[N],b[N];
int fun(int x)
{
    int t=1;
    while(t<=x)
       t*=2;
    return x^(t-1);
}
int main()
{
    int i,n;
    while(scanf("%d",&n)!=-1)
    {
        for(i=0;i<=n;i++)
            scanf("%d",&a[i]);
        memset(p,-1,sizeof(p));
        for(i=n;i>=0;i--)
        {
            if(p[i]!=-1)
                continue;
            int t=fun(i);
            p[t]=i;
            p[i]=t;
        }
        LL s=0;
        for(i=0;i<=n;i++)
        {
            b[i]=p[a[i]];
            s+=a[i]^b[i];
        }
        printf("%I64d\n",s);
        for(i=0;i<n;i++)
            printf("%d ",b[i]);
        printf("%d\n",b[n]);
    }
    return 0;
}



hdu 5014 Number Sequence （贪心）


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