• Codeforces914G Sum the Fibonacci(FWT)


      FWT大杂烩。跟着模拟做很多次FWT即可。

    #include<iostream> 
    #include<cstdio>
    #include<cmath>
    #include<cstdlib>
    #include<cstring>
    #include<algorithm>
    using namespace std;
    #define ll long long
    #define N (1<<17)
    #define P 1000000007
    int read()
    {
        int x=0,f=1;char c=getchar();
        while (c<'0'||c>'9') {if (c=='-') f=-1;c=getchar();}
        while (c>='0'&&c<='9') x=(x<<1)+(x<<3)+(c^48),c=getchar();
        return x*f;
    }
    int n,ab[N],c[N],de[N],f[N];
    void OR(int *a,int n,int op)
    {
        for (int i=2;i<=n;i<<=1)
            for (int j=0;j<n;j+=i)
                for (int k=j;k<j+(i>>1);k++)
                {
                    int x=a[k],y=a[k+(i>>1)];
                    a[k]=x;if (op==0) a[k+(i>>1)]=(y+x)%P;else a[k+(i>>1)]=(y-x+P)%P;
                }
    }
    void AND(int *a,int n,int op)
    {
        for (int i=2;i<=n;i<<=1)
            for (int j=0;j<n;j+=i)
                for (int k=j;k<j+(i>>1);k++)
                {
                    int x=a[k],y=a[k+(i>>1)];
                    if (op==0) a[k]=(x+y)%P;else a[k]=(x-y+P)%P;a[k+(i>>1)]=y;
                }
    }
    void XOR(int *a,int n,int op)
    {
        for (int i=2;i<=n;i<<=1)
            for (int j=0;j<n;j+=i)
                for (int k=j;k<j+(i>>1);k++)
                {
                    int x=a[k],y=a[k+(i>>1)];
                    a[k]=(x+y)%P,a[k+(i>>1)]=(x-y+P)%P;
                    if (op) a[k]=1ll*a[k]*500000004%P,a[k+(i>>1)]=1ll*a[k+(i>>1)]*500000004%P;
                }
    }
    void FWT(int *a,int *b,int n,int op)
    {
        if (op==0) OR(a,n,0),OR(b,n,0);
        else if (op==1) AND(a,n,0),AND(b,n,0);
        else XOR(a,n,0),XOR(b,n,0);
        for (int i=0;i<n;i++) a[i]=1ll*a[i]*b[i]%P;
        if (op==0) OR(a,n,1),OR(b,n,1);
        else if (op==1) AND(a,n,1),AND(b,n,1);
        else XOR(a,n,1),XOR(b,n,1);
    }
    int main()
    {
        n=read();
        while (n--) c[read()]++;
        memcpy(de,c,sizeof(de));
        FWT(de,c,N,2);
        for (int i=0;i<N;i++)
        {
            for (int j=i;j;j=j-1&i)
            ab[i]=(ab[i]+1ll*c[j]*c[i^j]%P)%P;
            ab[i]=(ab[i]+1ll*c[i]*c[0])%P;
        }
        f[0]=0,f[1]=1;for (int i=2;i<N;i++) f[i]=(f[i-1]+f[i-2])%P;
        for (int i=0;i<N;i++) ab[i]=1ll*ab[i]*f[i]%P,c[i]=1ll*c[i]*f[i]%P,de[i]=1ll*de[i]*f[i]%P;
        FWT(ab,de,N,1);FWT(ab,c,N,1);
        int ans=0;for (int i=0;i<17;i++) ans=(ans+ab[1<<i])%P;
        cout<<ans;
        return 0;
    }
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  • 原文地址:https://www.cnblogs.com/Gloid/p/10218828.html
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