• ACM-ICPC 2018 焦作赛区网络预赛 H、L


    https://nanti.jisuanke.com/t/31721

    题意 n个位置 有几个限制相邻的三个怎么怎么样,直接从3开始 矩阵快速幂进行递推就可以了

      1 #include <bits/stdc++.h>
      2 using namespace std;
      3 typedef long long ll;
      4 const ll mod=1e9+7,maxn=9;
      5 struct Matrix
      6 {
      7     ll m[maxn][maxn];
      8     Matrix()
      9     {
     10         memset(m,0,sizeof(m));
     11     }
     12     void init()
     13     {
     14         for(int i=0; i<maxn; i++)
     15             for(int j=0; j<maxn; j++)
     16                 m[i][j]=(i==j);
     17     }
     18     Matrix  operator +(const Matrix &b)const
     19     {
     20         Matrix c;
     21         for(int i=0; i<maxn; i++)
     22         {
     23             for(int j=0; j<maxn; j++)
     24             {
     25                 c.m[i][j]=(m[i][j]+b.m[i][j])%mod;
     26             }
     27         }
     28         return c;
     29     }
     30     Matrix  operator *(const Matrix &b)const
     31     {
     32         Matrix c;
     33         for(int i=0; i<maxn; i++)
     34         {
     35             for(int j=0; j<maxn; j++)
     36             {
     37                 for(int k=0; k<maxn; k++)
     38                 {
     39                     c.m[i][j]=(c.m[i][j]+(m[i][k]*b.m[k][j])%mod)%mod;
     40                 }
     41             }
     42         }
     43         return c;
     44     }
     45     Matrix  operator^(const ll &t)const
     46     {
     47         Matrix ans,a=(*this);
     48         ans.init();
     49         ll n=t;
     50         while(n)
     51         {
     52             if(n&1) ans=ans*a;
     53             a=a*a;
     54             n>>=1;
     55         }
     56         return ans;
     57     }
     58 };
     59 int xishu[9][9]={
     60 0,0,0,1,0,0,1,0,0,
     61 1,0,0,1,0,0,1,0,0,
     62 1,0,0,1,0,0,0,0,0,
     63 0,1,0,0,1,0,0,1,0,
     64 0,1,0,0,0,0,0,1,0,
     65 0,1,0,0,1,0,0,0,0,
     66 0,0,1,0,0,0,0,0,1,
     67 0,0,0,0,0,1,0,0,1,
     68 0,0,1,0,0,1,0,0,0};
     69 int main()
     70 {
     71     int t;
     72     ll n,m,a,b;
     73     scanf("%d",&t);
     74     while(t--)
     75     {
     76         scanf("%lld",&n);
     77         if(n==1)
     78         {
     79             printf("3
    ");
     80             continue;
     81         }
     82         if(n==2)
     83         {
     84             printf("9
    ");
     85             continue;
     86         }
     87         Matrix temp,aa;
     88         for(int i=0;i<maxn;i++)
     89         {
     90             for(int j=0;j<maxn;j++)
     91             {
     92                 temp.m[i][j]=xishu[i][j];
     93             }
     94         }
     95         for(int i=0;i<maxn;i++)
     96             aa.m[i][0]=1;
     97         temp=temp^(n-2);
     98         aa=temp*aa;
     99         ll ans=0;
    100         for(int i=0;i<maxn;i++)
    101             ans=(ans+aa.m[i][0])%mod;
    102         cout<<ans<<endl;
    103     }
    104     return 0;
    105 }

    https://nanti.jisuanke.com/t/31717

    解析 傻逼题,数据范围应该是2e5,真是傻逼,被安排的明明白白。存个后缀自动机的板子。

    #include<bits/stdc++.h>
    using namespace std;
    const int maxn = 2e5+5;
    typedef long long ll;
    char s[maxn];
    int len,k,n,m;
    char temp[5];
    struct SAM{
        int last,cnt,nxt[maxn*2][26],fa[maxn*2],l[maxn*2],num[maxn*2];
        ll ans;
        void init(){
            last = cnt=1;
            memset(nxt[1],0,sizeof nxt[1]);
            fa[1]=l[1]=num[1]=0;
            ans=0;
        }
        int inline newnode(){
            cnt++;
            memset(nxt[cnt],0,sizeof nxt[cnt]);
            fa[cnt]=l[cnt]=num[cnt]=0;
            return cnt;
        }
        void add(int c){
            int p = last;
            int np = newnode();
            last = np;
            l[np] =l[p]+1;
            while (p&&!nxt[p][c]){
                nxt[p][c] = np;
                p = fa[p];
            }
            if (!p){
                fa[np] =1;
            }else{
                int q = nxt[p][c];
                if (l[q]==l[p]+1){
                    fa[np] =q;
                }else{
                    int nq = newnode();
                    memcpy(nxt[nq],nxt[q],sizeof nxt[q]);
                    fa[nq] =fa[q];
                    num[nq] = num[q];
                    l[nq] = l[p]+1;
                    fa[np] =fa[q] =nq;
                    while (nxt[p][c]==q){
                        nxt[p][c]=nq;
                        p = fa[p];
                    }
                }
            }
            int temp = last;
            while (temp){
                if (num[temp]>=k){
                    break;
                }
                num[temp]++;
                if (num[temp]==k){
                    ans+=l[temp]-l[fa[temp]];
                }
                temp = fa[temp];
            }
        }
    }sam;
    int main(){
        while (scanf("%s",s)!=EOF){
            scanf("%d%d",&m,&k);k++;
            n=len = strlen(s);
            sam.init();
            for (int i=0;i<len;i++){
                sam.add(s[i]-'A');
            }
            ll ans1=sam.ans;
            k=m;
            sam.init();
            for (int i=0;i<len;i++){
                sam.add(s[i]-'A');
            }
            ll ans2=sam.ans;
            printf("%lld
    ",ans2-ans1);
        }
        return 0;
    }
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  • 原文地址:https://www.cnblogs.com/stranger-/p/9657101.html
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