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  • The 2019 China Collegiate Programming Contest Harbin Site

    题解:

    https://files.cnblogs.com/files/clrs97/HarbinEditorialV2.zip

    Code:

    A. Artful Paintings

    /*
    let x=f[n]
    f[i-1]-f[i]<=0 i -> i-1 0
    f[i]-f[i-1]<=1 i-1 -> i 1
    f[l-1]-f[r]<=-k r -> l-1 -k
    f[r]-f[l-1]<=-k+x l-1 -> r -k+x
    f[n]-f[0]<=x 0 -> n x
    f[0]-f[n]<=-x n -> 0 -x
    for each cycle whose cost is A+Bx, we have A+Bx>=0 -> x>=(-A/B)
    so find a cycle with minimum average cost
    */
    #include<cstdio>
    #include<vector>
    #include<algorithm>
    using namespace std;
    typedef pair<int,int>P;
    const int N=3010,M=3010,inf=1000000000;
    int Case,n,m1,m2,i,j,k,x,y,z,f[N][N],h[N],ans,nu,nd,tu,td,cnt[N<<1];
    vector<P>g[N];
    struct E{int u,v,w;}e[M];
    inline void up(int&a,int b){a>b?(a=b):0;}
    inline void cal(int u,int d){
      if(u>=0)return;
      u=-u;
      u=u/d+((u%d)>0);
      if(u>ans)ans=u;
    }
    inline void solve(){
      int i,j,x,y,base;
      for(i=n;i>1;i--)up(h[i-1],h[i]);
      for(i=1;i<n;i++)up(h[i+1],h[i]+1);
      base=h[n];
      //h[n] is stable now
      //h[i]=h[i+1] or h[i+1]-1
      //h[n]-h[i] in [0..n]
      //h[n]-h[i]+i in [0..2n]
      for(i=1;i<=n;i++)cnt[base-h[i]+i]++;
      for(i=n;i;i--){
        cnt[base-h[i]+i]--;
        if(i<n){
          up(h[i],h[i+1]);
          if(cnt[base-h[i+1]+i+1])h[i]=h[i+1]-1;
        }
        for(j=0;j<g[i].size();j++){
          x=g[i][j].first;
          y=h[i]+g[i][j].second;
          if(h[x]>y){
            cnt[base-h[x]+x]--;
            h[x]=y;
            cnt[base-h[x]+x]++;
          }
        }
      }
    }
    int main(){
      scanf("%d",&Case);
      while(Case--){
        scanf("%d%d%d",&n,&m1,&m2);n++;
        for(i=1;i<=n;i++)g[i].clear();
        while(m1--)scanf("%d%d%d",&x,&y,&z),g[y+1].push_back(P(x,-z));
        for(i=1;i<=m2;i++){
          scanf("%d%d%d",&x,&y,&z);
          e[i].u=x;
          e[i].v=y+1;
          e[i].w=-z;
        }
        e[++m2].u=1;
        e[m2].v=n;
        e[m2].w=0;
        ans=0;
        //case 1: not passed the edge n -> 0 -x
        for(i=0;i<=n;i++)for(j=1;j<=n;j++)f[i][j]=inf;
        f[0][1]=0;
        for(i=0;i<=n;i++){
          for(j=1;j<=n;j++)h[j]=f[i][j];
          solve();
          for(j=1;j<=n;j++)f[i][j]=h[j];
          if(i<n)for(j=1;j<=m2;j++)up(f[i+1][e[j].v],f[i][e[j].u]+e[j].w);
        }
        for(i=1;i<=n;i++){
          nu=-inf,nd=1;
          for(j=0;j<n;j++){
            tu=f[n][i]-f[j][i],td=n-j;
            if(1LL*nu*td<1LL*tu*nd)nu=tu,nd=td;
          }
          cal(nu,nd);
        }
        //case 2: passed the edge n -> 0 -x
        for(i=2;i<=n;i++)cal(f[i][n],i-1);
        printf("%d
    ",ans);
      }
    }
    

      

    B. Binary Numbers

    /*
    lcp(a[i],l[i])>=lcp(a[i-1],l[i])
    lcp(a[i],r[i])>=lcp(a[i+1],r[i])
    f[i][lcp(a[i],l[i+1])][lcp(a[i],r[i])]
    */
    #include<cstdio>
    const int N=131100,K=20,P=100000007;
    int Case,m,n,i,j,k,l[N],r[N],A,B,C,D,f[K][K],g[K][K];
    inline int cal(int a,int b){
      int ret=0;
      for(int i=m-1;~i;i--)if((a>>i&1)==(b>>i&1))ret++;else break;
      return ret;
    }
    inline void up(int&a,int b){a=a+b<P?a+b:a+b-P;}
    inline void clr(){for(j=0;j<=m;j++)for(k=0;k<=m;k++)g[j][k]=0;}
    inline void nxt(){
      for(j=0;j<=m;j++)for(k=0;k<=m;k++){
        f[j][k]=g[j][k];
        if(j)up(f[j][k],f[j-1][k]);
      }
      for(j=0;j<=m;j++)for(k=m-1;~k;k--)up(f[j][k],f[j][k+1]);
    }
    int main(){
      scanf("%d",&Case);
      while(Case--){
        scanf("%d%d",&m,&n);
        for(i=1;i<=n;i++)scanf("%d%d",&l[i],&r[i]);
        clr();
        g[0][m]=1;
        nxt();
        for(i=1;i<=n;i++){
          clr();
          for(j=l[i];j<=r[i];j++){
            A=cal(j,l[i]);
            B=cal(j,r[i]);
            C=i<n?cal(j,l[i+1]):0;
            D=i>1?cal(j,r[i-1]):0;
            g[C][B]=(1LL*f[A][D]*j+g[C][B])%P;
          }
          nxt();
        }
        printf("%d
    ",f[m][0]);
      }
    }
    

      

    C. Competition in Swiss-system

    #include<cstdio>
    typedef long long ll;
    const int N=10010,M=20;
    int Case,n,m,i,j,a[N],g[N][M],cg[N];bool v[N];
    ll gcd(ll a,ll b){return b?gcd(b,a%b):a;}
    struct P{
      ll u,d;
      P(){}
      P(ll _u,ll _d){u=_u,d=_d;}
      void operator+=(const P&b){
        ll x=gcd(d,b.d);
        u=u*(b.d/x)+(d/x)*b.u;
        d=d/x*b.d;
      }
      P fix()const{
        if(u*3<d)return P(1,3);
        return P(u,d);
      }
      void write(){
        if(!u)printf("0/1");
        else{
          ll x=gcd(u,d);
          u/=x,d/=x;
          printf("%lld/%lld",u,d);
        }
      }
    }mw[N],gw[N];
    inline void calomw(int x){
      if(!cg[x]){
        printf("1/3");
        return;
      }
      P now(0,1);
      for(int i=0;i<cg[x];i++)now+=mw[g[x][i]].fix();
      now.d*=cg[x];
      now.write();
    }
    inline void calogw(int x){
      if(!cg[x]){
        printf("1/3");
        return;
      }
      P now(0,1);
      for(int i=0;i<cg[x];i++)now+=gw[g[x][i]].fix();
      now.d*=cg[x];
      now.write();
    }
    int main(){
      scanf("%d",&Case);
      while(Case--){
        scanf("%d%d",&n,&m);
        for(i=1;i<=m;i++)scanf("%d",&a[i]);
        for(i=1;i<=n;i++){
          mw[i]=P(0,0);
          gw[i]=P(0,0);
        }
        for(i=1;i<=n;i++)cg[i]=0;
        for(i=1;i<=m;i++){
          printf("Round %d
    ",i);
          for(j=1;j<=n;j++)v[j]=0;
          for(j=1;j<=a[i];j++){
            int p1,p2,w1,w2,d;
            scanf("%d%d%d%d%d",&p1,&p2,&w1,&w2,&d);
            if(w1>w2)mw[p1].u+=3;
            else if(w1<w2)mw[p2].u+=3;
            else{
              mw[p1].u++;
              mw[p2].u++;
            }
            mw[p1].d+=3;
            mw[p2].d+=3;
            gw[p1].u+=3*w1+d;
            gw[p2].u+=3*w2+d;
            gw[p1].d+=3*(w1+w2+d);
            gw[p2].d+=3*(w1+w2+d);
            g[p1][cg[p1]++]=p2;
            g[p2][cg[p2]++]=p1;
            v[p1]=v[p2]=1;
          }
          for(j=1;j<=n;j++)if(!v[j]){
            mw[j].u+=3;
            mw[j].d+=3;
            gw[j].u+=6;
            gw[j].d+=6;
          }
          for(j=1;j<=n;j++){
            printf("%lld ",mw[j].u);
            calomw(j);
            putchar(' ');
            gw[j].fix().write();
            putchar(' ');
            calogw(j);
            puts("");
          }
        }
      }
    }
    

      

    D. Driverless Car

    #include<cstdio>
    #include<algorithm>
    #include<cmath>
    using namespace std;
    typedef long double ld;
    const ld eps=1e-9;
    const int N=10000;
    inline int sgn(ld x){
      if(x>eps)return 1;
      if(x<-eps)return -1;
      return 0;
    }
    struct P{
      ld x,y;
      P(){x=y=0;}
      P(ld _x,ld _y){x=_x,y=_y;}
      P operator+(const P&b)const{return P(x+b.x,y+b.y);}
      P operator-(const P&b)const{return P(x-b.x,y-b.y);}
      void operator-=(const P&b){*this=*this-b;}
      P operator*(const ld&b)const{return P(x*b,y*b);}
      ld len()const{return hypot(x,y);}
      P rotate(ld c)const{return P(x*cos(c)-y*sin(c),x*sin(c)+y*cos(c));}
      P rot90()const{return P(-y,x);}
      P rot270()const{return P(y,-x);}
      void flip(){x=-x,y=-y;}
      void read(){
        double _x,_y;
        scanf("%lf%lf",&_x,&_y);
        x=_x,y=_y;
      }
    }a[4],A,B,C,D,f[2][2];
    ld ans;
    struct E{
      P A,B;//A->B left hand
      E(){}
      E(const P&_A,const P&_B){A=_A,B=_B;}
    }e[N];
    int cnt,tp[2];ld pool[N],v[N];
    inline ld cross(const P&a,const P&b){return a.x*b.y-a.y*b.x;}
    inline int line_intersection(const P&a,const P&b,const P&p,const P&q,P&o,ld&t){
      ld U=cross(p-a,q-p),D=cross(b-a,q-p);
      if(sgn(D)==0)return sgn(U)==0?2:0;
      o=a+(b-a)*(U/D);
      t=U/D;
      return 1;
    }
    inline void work(const P&A,const P&B,int S,int o){
      if(S==0){
        //closer to A
        e[++cnt]=E(A,A+((B-A).rot90()));
        f[o][0]=A;
        tp[o]=0;
      }
      if(S==1){
        //closer to B
        e[++cnt]=E(B,B+((A-B).rot90()));
        f[o][0]=B;
        tp[o]=0;
      }
      if(S==2){
        //the line
        e[++cnt]=E(A,A+((B-A).rot270()));
        e[++cnt]=E(B,B+((A-B).rot270()));
        f[o][0]=A;
        f[o][1]=B;
        tp[o]=1;
      }
    }
    inline bool check(const P&X){
      for(int i=1;i<=cnt;i++)if(sgn(cross(X-e[i].A,e[i].B-e[i].A))>0)return 0;
      return 1;
    }
    inline void calline(const P&A,const P&B){
      int i,m=0;
      for(i=1;i<=cnt;i++){
        P o;ld t;
        int tmp=line_intersection(A,B,e[i].A,e[i].B,o,t);
        if(tmp==2)return;
        if(tmp==1)pool[++m]=t;
      }
      sort(pool+1,pool+m+1);
      ld ret=0;
      for(i=2;i<=m;i++)if(check(A+(B-A)*(pool[i]+pool[i-1])*0.5))ret+=pool[i]-pool[i-1];
      ans+=ret*((B-A).len());
    }
    inline ld mysqrt(ld x){
      if(sgn(x)<=0)return 0;
      return sqrt(x);
    }
    inline bool getroot(ld A,ld B,ld C,ld&x,ld&y){
      ld D=B*B-4*A*C;
      if(sgn(D)<0)return 0;
      D=mysqrt(D);
      x=(-B-D)/(A*2);
      y=(-B+D)/(A*2);
      return 1;
    }
    inline ld integrate(ld A,ld x){
      return (mysqrt(A*x*x+1)*x+log(fabs(2*A*x+2*mysqrt(A*(A*x*x+1))))/mysqrt(A))/2;
    }
    inline void solve(){
      if(tp[0]>tp[1]){
        swap(tp[0],tp[1]);
        swap(f[0][0],f[1][0]);
        swap(f[0][1],f[1][1]);
      }
      P A=f[0][0],B=f[0][1],C=f[1][0],D=f[1][1];
      if(tp[0]==0&&tp[1]==0){
        //point A and point C
        P E=(A+C)*0.5;
        calline(((A-E).rot90())+E,E);
      }else if(tp[0]==1&&tp[1]==1){
        //line AB and line CD
        P o;
        ld t;
        int res=line_intersection(A,B,C,D,o,t);
        if(res==0){
          o=(A+C)*0.5;
          calline(o,o+D-C);
        }else{
          if((A-o).len()<(B-o).len())swap(A,B);
          if((C-o).len()<(D-o).len())swap(C,D);
          ld w=(atan2(A.y-o.y,A.x-o.x)+atan2(C.y-o.y,C.x-o.x))*0.5;
          P E(cos(w),sin(w));
          calline(o,o+E);
          calline(o,o+(E.rot90()));
        }
      }else{
        //point A and line CD
        //x^2=py
        D=D-C;
        A=A-C;
        int i;
        for(i=1;i<=cnt;i++)e[i].A-=C,e[i].B-=C;
        ld w=atan2(D.y,D.x);
        A=A.rotate(-w);
        for(i=1;i<=cnt;i++)e[i].A=e[i].A.rotate(-w),e[i].B=e[i].B.rotate(-w);
        if(A.y<0){
          A.flip();
          for(i=1;i<=cnt;i++)e[i].A.flip(),e[i].B.flip();
        }
        C=P(A.x,A.y*0.5);
        ld p=A.y*2;
        if(!sgn(p))return;
        int m=0;
        for(i=1;i<=cnt;i++){
          e[i].A-=C,e[i].B-=C;
          ld dx=e[i].A.x-e[i].B.x;
          if(!sgn(dx)){
            pool[++m]=e[i].A.x;
            continue;
          }
          //y=kx+b
          ld k=(e[i].A.y-e[i].B.y)/dx,b=e[i].A.y-k*e[i].A.x;
          //x^2-pkx-pb=0
          ld x,y;
          if(getroot(1,-p*k,-p*b,x,y)){
            pool[++m]=x;
            pool[++m]=y;
          }
        }
        sort(pool+1,pool+m+1);
        for(i=1;i<=m;i++){
          v[i]=integrate(4/p/p,pool[i]);
          if(i>1){
            ld x=(pool[i-1]+pool[i])*0.5;
            if(check(P(x,x*x/p)))ans+=v[i]-v[i-1];
          }
        }
      }
    }
    int main(){
      int Case,i,j,k;
      scanf("%d",&Case);
      while(Case--){
        int xl,yl,xr,yr;
        scanf("%d%d%d%d",&xl,&yl,&xr,&yr);
        a[0]=P(xl,yl);
        a[1]=P(xr,yl);
        a[2]=P(xr,yr);
        a[3]=P(xl,yr);
        A.read();
        B.read();
        C.read();
        D.read();
        ans=0;
        for(i=0;i<3;i++)for(j=0;j<3;j++){
          cnt=0;
          for(k=0;k<4;k++)e[++cnt]=E(a[k],a[(k+1)%4]);
          work(A,B,i,0);
          work(C,D,j,1);
          solve();
        }
        printf("%.15f
    ",(double)ans);
      }
    }
    

      

    E. Exchanging Gifts

    #include<cstdio>
    typedef long long ll;
    const int N=1000010;
    int Case,n,i,j,x,y,z,ans,type[N],a[N],b[N],st[N],en[N],pool[N],cnt;ll g[N],len[N];
    struct Info{
      int x;ll v;
      Info(){}
      Info(int _x,ll _v){x=_x,v=_v;}
      Info operator+(const Info&b)const{
        if(x==b.x)return Info(x,v+b.v);
        if(v>b.v)return Info(x,v-b.v);
        return Info(b.x,b.v-v);
      }
    }f[N];
    int main(){
      scanf("%d",&Case);
      while(Case--){
        scanf("%d",&n);
        cnt=0;
        for(i=1;i<=n;i++){
          scanf("%d",&type[i]);
          if(type[i]==2)scanf("%d%d",&a[i],&b[i]);
          else{
            scanf("%d",&x);
            st[i]=cnt+1;
            while(x--){
              scanf("%d",&y);
              pool[++cnt]=y;
            }
            en[i]=cnt;
          }
        }
        for(i=1;i<=n;i++)if(type[i]==2){
          f[i]=f[a[i]]+f[b[i]];
          len[i]=len[a[i]]+len[b[i]];
        }else{
          x=y=0;
          len[i]=en[i]-st[i]+1;
          for(j=st[i];j<=en[i];j++){
            z=pool[j];
            if(!y)x=z,y++;
            else if(x==z)y++;
            else y--;
          }
          f[i]=Info(x,y);
        }
        ans=f[n].x;
        for(i=1;i<=n;i++)if(type[i]==2)g[i]=g[a[i]]+g[b[i]];
        else{
          x=0;
          for(j=st[i];j<=en[i];j++)if(pool[j]==ans)x++;
          g[i]=x;
        }
        ll t=g[n]*2-len[n];
        if(t<0)t=0;
        t=len[n]-t;
        printf("%lld
    ",t);
      }
    }
    

      

    F. Fixing Banners

    #include<cstdio>
    #include<cstring>
    #include<string>
    const int N=6;
    int Case,i,j,k,len,S,f[1<<N],g[1<<N];char b[2000010];std::string a="harbin";
    int main(){
      scanf("%d",&Case);
      while(Case--){
        for(i=0;i<1<<N;i++)f[i]=0;
        f[0]=1;
        for(i=0;i<N;i++){
          scanf("%s",b);
          len=strlen(b);
          S=0;
          for(j=0;j<len;j++)for(k=0;k<N;k++)if(b[j]==a[k])S|=1<<k;
          for(j=0;j<1<<N;j++)g[j]=0;
          for(j=0;j<1<<N;j++)for(k=0;k<N;k++)if(S>>k&1)g[j|(1<<k)]|=f[j];
          for(j=0;j<1<<N;j++)f[j]=g[j];
        }
        puts(f[(1<<N)-1]?"Yes":"No");
      }
    }
    

      

    G. Game Store

    #include<cstdio>
    typedef long long ll;
    typedef unsigned long long ull;
    const int K=60;
    int n;ll x,y,ans,w[K];ull a[K][2];bool v[K];
    inline void ins(ull x,ull y,ll z){
      for(int i=0;i<K;i++)if((x>>i&1)||(y>>i&1)){
        if(!v[i]){
          v[i]=1;
          a[i][0]=x;
          a[i][1]=y;
          w[i]=z;
          ans+=z;
          return;
        }
        if(w[i]<z){
          ull A=a[i][0],B=a[i][1];ll C=w[i];
          a[i][0]=x;
          a[i][1]=y;
          w[i]=z;
          ans+=z-C;
          x=A;
          y=B;
          z=C;
        }
        ull C=a[i][0],D=a[i][1];
        while((x>>i&1)||(y>>i&1)){
          ull t=((x|y)&(C|D))^(y&D);
          x^=C^(y&D)^((y^D)&t);
          y^=D^t;
        }
      }
    }
    int main(){
      scanf("%d",&n);
      while(n--){
        ll x,y;
        scanf("%lld%lld",&x,&y);//1<=x<=1e18 1<=y<=1e9
        x^=ans,y^=ans;
        ins(0,x,y);
        printf("%lld
    ",ans);
      }
    }
    

      

    H. Highway Buses

    #include<cstdio>
    #include<algorithm>
    #include<queue>
    #include<vector>
    using namespace std;
    typedef long long ll;
    typedef pair<ll,int>P;
    const int N=200010,M=N*20,K=55;
    const ll inf=1LL<<60;
    int n,m,day,i,x,y,a[N],b[N],lim[N],cost[N],g[N],v[N<<1],nxt[N<<1],ok[N<<1],ed;
    int f[N],son[N],all,now;
    int _st[N],st[N],en[N],cur,q[M][2],vis[N];
    int G[N],V[M],W[M],NXT[M],ED;
    priority_queue<P,vector<P>,greater<P> >Q;
    ll dis[N],fin[N];
    int dsu[N];
    inline void add(int x,int y){v[++ed]=y;nxt[ed]=g[x];g[x]=ed;ok[ed]=1;}
    inline void ADD(int x,int y,int z){V[++ED]=y;W[ED]=z;NXT[ED]=G[x];G[x]=ED;}
    void findroot(int x,int y){
      son[x]=1;f[x]=0;
      for(int i=g[x];i;i=nxt[i])if(ok[i]&&v[i]!=y){
        findroot(v[i],x);
        son[x]+=son[v[i]];
        if(son[v[i]]>f[x])f[x]=son[v[i]];
      }
      if(all-son[x]>f[x])f[x]=all-son[x];
      if(f[x]<f[now])now=x;
    }
    inline void bfs(int S){
      vis[S]=S;
      q[++cur][0]=S;
      q[cur][1]=0;
      int h=cur;
      while(h<=cur){
        int x=q[h][0],y=q[h++][1]+1;
        for(int i=g[x];i;i=nxt[i])if(ok[i]&&vis[v[i]]!=S){
          vis[v[i]]=S;
          q[++cur][0]=v[i];
          q[cur][1]=y;
        }
      }
    }
    void solve(int x){
      st[x]=cur+1;
      bfs(x);
      en[x]=cur;
      for(int i=st[x];i<=cur;i++)ADD(q[i][0],x,q[i][1]);
      for(int i=g[x];i;i=nxt[i])if(ok[i]){
        ok[i^1]=0;
        f[0]=all=son[v[i]];
        findroot(v[i],now=0);
        solve(now);
      }
    }
    inline void extend(int x,ll y){
      if(vis[x])return;
      vis[x]=1;
      dis[x]=y;
      Q.push(P(y+cost[x],x));
    }
    inline void go(int x,int lim,ll y){
      int&h=st[x],t=en[x];
      while(h<=t){
        if(q[h][1]>lim)break;
        extend(q[h++][0],y);
      }
    }
    int DSU(int x){return dsu[x]==x?x:dsu[x]=DSU(dsu[x]);}
    namespace VIP{
    bool is[N],vis[N];
    int pool[K],cp,q[K][N],d[K][N],st[K];
    int i,j,k,h,t,x,y,g[N],v[(N+K)<<1],nxt[(N+K)<<1],ed;
    inline void add(int x,int y){v[++ed]=y;nxt[ed]=g[x];g[x]=ed;}
    inline void set(int x){
      if(is[x])return;
      is[x]=1;
      pool[cp++]=x;
    }
    inline void ext(int x){
      if(vis[x])return;
      vis[x]=1;
      q[i][++t]=x;
      d[i][x]=y;
    }
    inline void init(){
      for(i=0;i<cp;i++){
        for(j=1;j<=n;j++)vis[j]=0;
        y=0;
        h=1,t=0;
        ext(pool[i]);
        while(h<=t){
          x=q[i][h++];
          y=d[i][x]+1;
          for(k=g[x];k;k=nxt[k])ext(v[k]);
        }
      }
    }
    inline void go(int x,ll y,int lim){
      int&h=st[x];
      while(h<=n){
        if(d[x][q[x][h]]>lim)break;
        extend(q[x][h++],y);
      }
    }
    }
    inline void work(int day){
      for(i=1;i<=n;i++){
        vis[i]=0;
        st[i]=_st[i];
        cost[i]=a[i]+1LL*b[i]*(day-1);
      }
      for(i=0;i<VIP::cp;i++)VIP::st[i]=1;
      extend(1,0);
      while(!Q.empty()){
        P t=Q.top();Q.pop();
        for(i=G[t.second];i;i=NXT[i])go(V[i],lim[t.second]-W[i],t.first);
        for(i=0;i<VIP::cp;i++)VIP::go(i,t.first,lim[t.second]-VIP::d[i][t.second]);
      }
      for(i=1;i<=n;i++)fin[i]=min(fin[i],dis[i]);
    }
    int main(){
      scanf("%d%d%d",&n,&m,&day);
      for(i=1;i<=n;i++)scanf("%d%d%d",&lim[i],&a[i],&b[i]);
      for(i=1;i<=n;i++)dsu[i]=i;
      ed=1;
      while(m--){
        scanf("%d%d",&x,&y);
        VIP::add(x,y);
        VIP::add(y,x);
        if(DSU(x)==DSU(y)){
          VIP::set(x);
        }else{
          dsu[dsu[x]]=dsu[y];
          add(x,y);
          add(y,x);
        }
      }
      f[0]=all=n;findroot(1,now=0);solve(now);
      VIP::init();
      for(i=1;i<=n;i++)fin[i]=inf,_st[i]=st[i];
      work(1);
      work(day);
      for(i=1;i<=n;i++)printf("%lld
    ",fin[i]);
    }
    

      

    I. Interesting Permutation

    #include<cstdio>
    const int P=1000000007;
    int Case,n,i,a[100010];
    inline int solve(){
      scanf("%d",&n);
      for(i=1;i<=n;i++)scanf("%d",&a[i]);
      if(a[1])return 0;
      int gap=a[1],slot=0,ans=1;
      for(i=2;i<=n;i++){
        if(a[i]<gap)return 0;
        if(a[i]>=n)return 0;
        if(a[i]==gap){
          if(!slot)return 0;
          ans=1LL*ans*slot%P;
          slot--;
        }else{
          ans=2LL*ans%P;
          slot+=a[i]-gap-1;
          gap=a[i];
        }
      }
      return ans;
    }
    int main(){
      scanf("%d",&Case);
      while(Case--)printf("%d
    ",solve());
    }
    

      

    J. Justifying the Conjecture

    #include<cstdio>
    int Case,n;
    int main(){
      scanf("%d",&Case);
      while(Case--){
        scanf("%d",&n);
        if(n<=5){
          puts("-1");
          continue;
        }
        if(n&1)printf("3 %d
    ",n-3);
        else printf("2 %d
    ",n-2);
      }
    }
    

      

    K. Keeping Rabbits

    #include<cstdio>
    #include<cstdlib>
    using namespace std;
    int Case,n,k,i;double a[100010],s;
    int main(){
      scanf("%d",&Case);
      while(Case--){
        scanf("%d%d",&n,&k);
        s=0;
        for(i=1;i<=n;i++)scanf("%lf",&a[i]),s+=a[i];
        for(i=1;i<=n;i++)printf("%.15f%c",a[i]+a[i]*k/s,i<n?' ':'
    ');
      }
    }
    

      

    L. LRU Algorithm

    #include<cstdio>
    typedef unsigned long long ull;
    const int N=5010,M=200010;
    int Case,n,q,m,i,j,a[N],b[N],len[M],ans[M];ull goal[M],f[N];
    inline void cal(int n){for(int i=1;i<=n;i++)f[i]=f[i-1]*13331+b[i]+19260817;}
    inline void ext(int x){
      int i;
      for(i=1;i<=n;i++)if(b[i]==x)break;
      for(;i<n;i++)b[i]=b[i+1];
      for(i=n;i>1;i--)b[i]=b[i-1];
      b[1]=x;
    }
    int main(){
      scanf("%d",&Case);
      while(Case--){
        scanf("%d%d",&n,&q);
        for(i=1;i<=n;i++)scanf("%d",&a[i]);
        for(i=1;i<=q;i++){
          scanf("%d",&m);
          len[i]=m;
          for(j=1;j<=m;j++)scanf("%d",&b[j]);
          cal(m);
          goal[i]=f[m];
          ans[i]=0;
        }
        for(i=1;i<=n;i++)b[i]=0;
        for(i=0;i<=n;i++){
          if(i)ext(a[i]);
          cal(n);
          for(j=1;j<=q;j++)if(f[len[j]]==goal[j])ans[j]=1;
        }
        for(i=1;i<=q;i++)puts(ans[i]?"Yes":"No");
      }
    }
    

      

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  • 原文地址:https://www.cnblogs.com/clrs97/p/11793253.html
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