• 2020 CCPC Wannafly Winter Camp Day5 Div.1&2


    大失败。

    • A 签到题,题面太长没做。
    • B 树上传递闭包问题。原本是想着倒着做能求解答案,使用并查集,后来发现并查集并不对 正解是维护一个可到达点的数量利用树的特点容斥了一下。
    code
    //#include<bits/stdc++.h>
    #include<iostream>
    #include<cstdio>
    #include<ctime>
    #include<cctype>
    #include<queue>
    #include<deque>
    #include<stack>
    #include<iostream>
    #include<iomanip>
    #include<cstdio>
    #include<cstring>
    #include<string>
    #include<ctime>
    #include<cmath>
    #include<cctype>
    #include<cstdlib>
    #include<queue>
    #include<deque>
    #include<stack>
    #include<vector>
    #include<algorithm>
    #include<utility>
    #include<bitset>
    #include<set>
    #include<map>
    #define ll long long
    #define db double
    #define INF 1000000000000000000ll
    #define inf 1000000001
    #define ldb long double
    #define pb push_back
    #define put_(x) printf("%d ",x);
    #define get(x) x=read()
    #define gt(x) scanf("%d",&x)
    #define gi(x) scanf("%lf",&x)
    #define put(x) printf("%d\n",x)
    #define putl(x) printf("%lld\n",x)
    #define rep(p,n,i) for(int i=p;i<=n;++i)
    #define go(x) for(int i=lin[x],tn=ver[i];i;tn=ver[i=nex[i]])
    #define pii pair<int,int>
    #define mk make_pair
    #define P 1000000007ll
    #define gf(x) scanf("%lf",&x)
    #define pf(x) ((x)*(x))
    #define uint unsigned long long
    #define ui unsigned
    #define EPS 1e-10
    #define sq sqrt
    #define S second
    #define F first
    #define mod 998244353
    #define r(x) c[x].r
    #define l(x) c[x].l
    #define cc(x) c[x].cc
    #define mx2(x) t[x].mx2
    #define max(x,y) ((x)<(y)?y:x)
    using namespace std;
    char *fs,*ft,buf[1<<15];
    inline char gc()
    {
        return (fs==ft&&(ft=(fs=buf)+fread(buf,1,1<<15,stdin),fs==ft))?0:*fs++;
    }
    inline int read()
    {
        int x=0,f=1;char ch=gc();
        while(ch<'0'||ch>'9'){if(ch=='-')f=-1;ch=gc();}
        while(ch>='0'&&ch<='9'){x=x*10+ch-'0';ch=gc();}
        return x*f;
    }
    const int MAXN=500010;
    int n,m;
    int a[MAXN],b[MAXN];
    int f[MAXN],c[MAXN],w[MAXN];
    int main()
    {
    	//freopen("1.in","r",stdin);
    	n=read();m=read();
    	rep(1,n-1,i)
    	{
    		f[i]=1;
    		a[i]=read(),b[i]=read();
    	}
    	f[n]=1;
    	rep(1,m,j)w[j]=read();
    	for(int i=m;i>=1;--i)
    	{
    		int x=a[w[i]],y=b[w[i]];
    		f[x]=f[y]=f[x]+f[y]-c[w[i]];
    		c[w[i]]=f[x];
    	}
    	rep(1,n,i)printf("%d ",f[i]);
    	return 0;
    }
    
    • C 一个简单的区间dp 利用归纳法来求不同区间的代价,不同区间我使用树状数组来数点。
    code
    //#include<bits/stdc++.h>
    #include<iostream>
    #include<cstdio>
    #include<ctime>
    #include<cctype>
    #include<queue>
    #include<deque>
    #include<stack>
    #include<iostream>
    #include<iomanip>
    #include<cstdio>
    #include<cstring>
    #include<string>
    #include<ctime>
    #include<cmath>
    #include<cctype>
    #include<cstdlib>
    #include<queue>
    #include<deque>
    #include<stack>
    #include<vector>
    #include<algorithm>
    #include<utility>
    #include<bitset>
    #include<set>
    #include<map>
    #define ll long long
    #define db double
    #define INF 1000000000000000000ll
    #define inf 1000000001
    #define ldb long double
    #define pb push_back
    #define put_(x) printf("%d ",x);
    #define get(x) x=read()
    #define gt(x) scanf("%d",&x)
    #define gi(x) scanf("%lf",&x)
    #define put(x) printf("%d\n",x)
    #define putl(x) printf("%lld\n",x)
    #define rep(p,n,i) for(int i=p;i<=n;++i)
    #define go(x) for(int i=lin[x],tn=ver[i];i;tn=ver[i=nex[i]])
    #define pii pair<int,int>
    #define mk make_pair
    #define P 1000000007ll
    #define gf(x) scanf("%lf",&x)
    #define pf(x) ((x)*(x))
    #define uint unsigned long long
    #define ui unsigned
    #define EPS 1e-10
    #define sq sqrt
    #define S second
    #define F first
    #define mod 998244353
    #define v(x) t[x].v
    #define r(x) t[x].r
    #define l(x) t[x].l
    #define mx2(x) t[x].mx2
    #define max(x,y) ((x)<(y)?y:x)
    using namespace std;
    char *fs,*ft,buf[1<<15];
    inline char gc()
    {
        return (fs==ft&&(ft=(fs=buf)+fread(buf,1,1<<15,stdin),fs==ft))?0:*fs++;
    }
    inline int read()
    {
        int x=0,f=1;char ch=gc();
        while(ch<'0'||ch>'9'){if(ch=='-')f=-1;ch=gc();}
        while(ch>='0'&&ch<='9'){x=x*10+ch-'0';ch=gc();}
        return x*f;
    }
    const int MAXN=510,N=200010;
    int n,m;
    int f[MAXN][MAXN];//f[i][j]表示i~j这个区间所形成的线段树的最小值。
    //f[i][j]=min{f[i][k]+f[k+1][j]+cost[i][j]};
    int cost[MAXN][MAXN];
    struct wy
    {
    	int l,r;
    }t[N],h[N];
    inline int cmp(wy a,wy b){return a.l<b.l;}
    inline int cmp1(wy a,wy b){return a.r<b.r;}
    int c[MAXN],v[MAXN],s[MAXN],b[MAXN][MAXN];
    inline void add(int x,int y)
    {
    	while(x<=n)
    	{
    		c[x]+=y;
    		x+=x&(-x);
    	}
    }
    inline int ask(int x)
    {
    	int cnt=0;
    	while(x)
    	{
    		cnt+=c[x];
    		x-=x&(-x);
    	}
    	return cnt;
    }
    inline void add1(int x,int y)
    {
    	while(x<=n)
    	{
    		s[x]+=y;
    		x+=x&(-x);
    	}
    }
    inline int ask1(int x)
    {
    	int cnt=0;
    	while(x)
    	{
    		cnt+=s[x];
    		x-=x&(-x);
    	}
    	return cnt;
    }
    int main()
    {
    	//freopen("1.in","r",stdin);
    	n=read();m=read();
    	rep(1,m,i){l(i)=read();r(i)=read();add(r(i),1),++b[l(i)][r(i)];h[i]=t[i];}
    	sort(t+1,t+1+m,cmp);
    	sort(h+1,h+1+m,cmp1);
    	//rep(1,m,i)cout<<t[i].l<<' '<<t[i].r<<endl;
    	int w=m;
    	for(int i=n;i>=1;--i)
    	{
    		v[i]=m-w;
    		while(l(w)==i)--w;
    	}
    	w=0;int wc=1,ws=0;
    	rep(1,n,i)
    	{
    		while(l(ws+1)==i)add1(r(ws+1),1),++ws;
    		rep(i,n,j)
    		{
    			int ww=w+v[j];//无用
    			int w1=ask(j)-b[i][j];//包含
    			int w3=ws-ask1(j-1);//被包含
    			int w2=m-ww-w1-w3;//相交
    			cost[i][j]=w2+w1;
    			if(i==j)cost[i][j]+=w3;
    			else cost[i][j]-=w3;
    			f[i][j]=inf;
    		}
    		while(h[w+1].r==i)++w;
    		while(l(wc)==i)add(r(wc),-1),++wc;
    		f[i][i]=cost[i][i];
    	}
    	/*rep(1,n,i)
    	{
    		rep(i,n,j)
    		cout<<i<<' '<<j<<' '<<cost[i][j]<<endl;
    		cout<<endl;
    	}*/
    	rep(2,n,len)
    	{
    		for(int i=1;i<=n-len+1;++i)
    		{
    			int j=i+len-1;
    			rep(i,j-1,k)
    			{
    				f[i][j]=min(f[i][j],f[i][k]+f[k+1][j]+cost[i][j]);
    			}
    		}
    	}
    	printf("%d\n",f[1][n]);
    	return 0;
    }
    
    • D 一个求解多个圆相交部分的计算几何,没太看懂相交的面积怎么算 咕咕。

    题目

    题解代码

    • E 一个简单的枚举问题。
    code
    //#include<bits/stdc++.h>
    #include<iostream>
    #include<cstdio>
    #include<ctime>
    #include<cctype>
    #include<queue>
    #include<deque>
    #include<stack>
    #include<iostream>
    #include<iomanip>
    #include<cstdio>
    #include<cstring>
    #include<string>
    #include<ctime>
    #include<cmath>
    #include<cctype>
    #include<cstdlib>
    #include<queue>
    #include<deque>
    #include<stack>
    #include<vector>
    #include<algorithm>
    #include<utility>
    #include<bitset>
    #include<set>
    #include<map>
    #define ll long long
    #define db double
    #define INF 1000000000000000000ll
    #define inf 1000000001
    #define ldb long double
    #define pb push_back
    #define put_(x) printf("%d ",x);
    #define get(x) x=read()
    #define gt(x) scanf("%d",&x)
    #define gi(x) scanf("%lf",&x)
    #define put(x) printf("%d\n",x)
    #define putl(x) printf("%lld\n",x)
    #define rep(p,n,i) for(int i=p;i<=n;++i)
    #define go(x) for(int i=lin[x],tn=ver[i];i;tn=ver[i=nex[i]])
    #define pii pair<int,int>
    #define mk make_pair
    #define P 1000000007ll
    #define gf(x) scanf("%lf",&x)
    #define pf(x) ((x)*(x))
    #define uint unsigned long long
    #define ui unsigned
    #define EPS 1e-10
    #define sq sqrt
    #define S second
    #define F first
    #define mod 998244353
    #define r(x) c[x].r
    #define l(x) c[x].l
    #define cc(x) c[x].cc
    #define mx2(x) t[x].mx2
    #define max(x,y) ((x)<(y)?y:x)
    using namespace std;
    char *fs,*ft,buf[1<<15];
    inline char gc()
    {
        return (fs==ft&&(ft=(fs=buf)+fread(buf,1,1<<15,stdin),fs==ft))?0:*fs++;
    }
    inline int read()
    {
        int x=0,f=1;char ch=gc();
        while(ch<'0'||ch>'9'){if(ch=='-')f=-1;ch=gc();}
        while(ch>='0'&&ch<='9'){x=x*10+ch-'0';ch=gc();}
        return x*f;
    }
    const int MAXN=310;
    int n;
    int a[MAXN],b[MAXN];
    int c[MAXN][MAXN];
    int main()
    {
    	//freopen("1.in","r",stdin);
    	n=read();
    	rep(1,n,i)a[i]=read();
    	rep(1,4,i)b[i]=read();
    	for(int i=n;i>=1;--i)
    	{
    		rep(1,n,j)c[i][j]=c[i+1][j];
    		++c[i][a[i]];
    	}
    	ll ans=0;
    	rep(1,n,i)
    	{
    		rep(i+1,n,j)
    		{
    			if(b[1]==b[2]&&a[i]!=a[j])continue;
    			if(a[i]==a[j]&&b[1]!=b[2])continue;
    			rep(j+1,n,k)
    			{
    				if(b[1]==b[3]&&a[i]!=a[k])continue;
    				if(b[1]!=b[3]&&a[i]==a[k])continue;
    				if(b[2]==b[3]&&a[j]!=a[k])continue;
    				if(b[2]!=b[3]&&a[j]==a[k])continue;
    				if(b[1]==b[4]){ans+=c[k+1][a[i]];continue;}
    				if(b[2]==b[4]){ans+=c[k+1][a[j]];continue;}
    				if(b[3]==b[4]){ans+=c[k+1][a[k]];continue;}
    				int ww=c[k+1][a[i]];
    				if(b[1]!=b[2])ww+=c[k+1][a[j]];
    				if(b[1]!=b[3]&&b[2]!=b[3])ww+=c[k+1][a[k]];
    				ans+=n-k-ww;
    			}
    		}
    	}
    	printf("%lld\n",ans);
    	return 0;
    }
    
    • F dp多项式题目,简单版的都不会求,更别提需要插值版的了。
      题目
      题解
    • G 一个逆元相关的无聊题目,复杂度无法证明。
    code
    //#include<bits/stdc++.h>
    #include<iostream>
    #include<cstdio>
    #include<ctime>
    #include<cctype>
    #include<queue>
    #include<deque>
    #include<stack>
    #include<iostream>
    #include<iomanip>
    #include<cstdio>
    #include<cstring>
    #include<string>
    #include<ctime>
    #include<cmath>
    #include<cctype>
    #include<cstdlib>
    #include<queue>
    #include<deque>
    #include<stack>
    #include<vector>
    #include<algorithm>
    #include<utility>
    #include<bitset>
    #include<set>
    #include<map>
    #define ll long long
    #define db double
    #define INF 1000000000000000000ll
    #define inf 1000000001
    #define ldb long double
    #define pb push_back
    #define put_(x) printf("%d ",x);
    #define get(x) x=read()
    #define gt(x) scanf("%d",&x)
    #define gi(x) scanf("%lf",&x)
    #define put(x) printf("%d\n",x)
    #define putl(x) printf("%lld\n",x)
    #define rep(p,n,i) for(int i=p;i<=n;++i)
    #define go(x) for(int i=lin[x],tn=ver[i];i;tn=ver[i=nex[i]])
    #define pii pair<int,int>
    #define mk make_pair
    #define P 1000000007ll
    #define gf(x) scanf("%lf",&x)
    #define pf(x) ((x)*(x))
    #define uint unsigned long long
    #define ui unsigned
    #define EPS 1e-10
    #define sq sqrt
    #define S second
    #define F first
    #define mod 998244353
    #define r(x) c[x].r
    #define l(x) c[x].l
    #define cc(x) c[x].cc
    #define mx2(x) t[x].mx2
    #define max(x,y) ((x)<(y)?y:x)
    using namespace std;
    char *fs,*ft,buf[1<<15];
    inline char gc()
    {
        return (fs==ft&&(ft=(fs=buf)+fread(buf,1,1<<15,stdin),fs==ft))?0:*fs++;
    }
    inline int read()
    {
        int x=0,f=1;char ch=gc();
        while(ch<'0'||ch>'9'){if(ch=='-')f=-1;ch=gc();}
        while(ch>='0'&&ch<='9'){x=x*10+ch-'0';ch=gc();}
        return x*f;
    }
    const int MAXN=1000010;
    int T;
    int p,B,top,top1;
    int inv[MAXN];
    struct wy
    {
    	int x,y;
    }s[MAXN],w[MAXN];
    inline int cmp(wy a,wy b){return a.x<b.x;}
    int main()
    {
        //freopen("1.in","r",stdin);
    	//freopen("1.out","w",stdout);
    
    	T=read();
    	while(T--)
    	{
    		p=read();top1=top=0;
    		if(p==2){printf("0\n");continue;}
    		if(p==3){printf("1\n");printf("2 2\n");continue;}
    		
    		B=(int)sqrt(p*1.0);
    		int i=3;inv[1]=1;
    		inv[2]=p-(ll)inv[p%2]*(p/2)%p;
    		s[top=1].x=2;s[top].y=inv[2];
    		w[++top1].x=inv[2];w[top1].y=2;
    		while(i<p)
    		{
    			inv[i]=p-(ll)inv[p%i]*(p/i)%p;
    			if(inv[i]<=s[top].y)
    			{
    				if(i==inv[i]){s[++top].x=i,s[top].y=inv[i];break;}
    				if(i==s[top].y)break;
    				s[++top].x=i,s[top].y=inv[i];
    				w[++top1].x=inv[i];w[top1].y=i;
    			}
    			++i;
    		}
    		printf("%d\n",top+top1);
    		rep(1,top,i)printf("%d %d\n",s[i].x,s[i].y);
            for(int i=top1;i>=1;--i)printf("%d %d\n",w[i].x,w[i].y);
    	}
        return 0;
    }
    
    • H 平面找点问题。不懂不会。
      题目
      题解
    • I 求一个矩阵的最大值。直接树套树,稍微有点卡空间。
    code
    //#include<bits/stdc++.h>
    #include<iostream>
    #include<cstdio>
    #include<ctime>
    #include<cctype>
    #include<queue>
    #include<deque>
    #include<stack>
    #include<iostream>
    #include<iomanip>
    #include<cstdio>
    #include<cstring>
    #include<string>
    #include<ctime>
    #include<cmath>
    #include<cctype>
    #include<cstdlib>
    #include<queue>
    #include<deque>
    #include<stack>
    #include<vector>
    #include<algorithm>
    #include<utility>
    #include<bitset>
    #include<set>
    #include<map>
    #define ll long long
    #define db double
    #define INF 1000000000000000000ll
    #define inf 100000000000000000ll
    #define ldb long double
    #define pb push_back
    #define put_(x) printf("%d ",x);
    #define get(x) x=read()
    #define gt(x) scanf("%d",&x)
    #define gi(x) scanf("%lf",&x)
    #define put(x) printf("%d\n",x)
    #define putl(x) printf("%lld\n",x)
    #define rep(p,n,i) for(int i=p;i<=n;++i)
    #define go(x) for(int i=lin[x],tn=ver[i];i;tn=ver[i=nex[i]])
    #define pii pair<int,int>
    #define mk make_pair
    #define P 1000000007ll
    #define gf(x) scanf("%lf",&x)
    #define pf(x) ((x)*(x))
    #define uint unsigned long long
    #define ui unsigned
    #define EPS 1e-10
    #define sq sqrt
    #define S second
    #define F first
    #define mod 998244353
    #define r(x) c[x].r
    #define l(x) c[x].l
    #define cc(x) c[x].cc
    #define mx2(x) t[x].mx2
    #define max(x,y) ((x)<(y)?y:x)
    using namespace std;
    char *fs,*ft,buf[1<<15];
    inline char gc()
    {
        return (fs==ft&&(ft=(fs=buf)+fread(buf,1,1<<15,stdin),fs==ft))?0:*fs++;
    }
    inline int read()
    {
        int x=0,f=1;char ch=gc();
        while(ch<'0'||ch>'9'){if(ch=='-')f=-1;ch=gc();}
        while(ch>='0'&&ch<='9'){x=x*10+ch-'0';ch=gc();}
        return x*f;
    }
    const int MAXN=2010;
    ll a[MAXN][MAXN],ans;
    int n,m1,m2,cnt,root,xx,yy,cx,cy;
    struct V{ll t[MAXN<<2];int l,r;}c[MAXN<<1];
    inline void build1(int x,int rt,int L,int R,int pos)
    {
    	if(L==R){c[x].t[rt]=a[pos][L];return;}
    	int mid=(L+R)>>1;
    	build1(x,rt<<1,L,mid,pos);
    	build1(x,rt<<1|1,mid+1,R,pos);
    	c[x].t[rt]=max(c[x].t[rt<<1],c[x].t[rt<<1|1]);
    }
    inline void pushup(int lp,int rp,int x,int rt,int L,int R)
    {
    	c[x].t[rt]=max(c[lp].t[rt],c[rp].t[rt]);
    	if(L==R)return;
    	int mid=(L+R)>>1;
    	pushup(lp,rp,x,rt<<1,L,mid);
    	pushup(lp,rp,x,rt<<1|1,mid+1,R);
    }
    inline void build(int L,int R,int &p)
    {
    	p=++cnt;
    	if(L==R){build1(p,1,1,n,L);return;}
    	int mid=(L+R)>>1;
    	build(L,mid,l(p));
    	build(mid+1,R,r(p));
    	pushup(l(p),r(p),p,1,1,n);
    }
    inline void ask1(int x,int rt,int L,int R)
    {
    	if(cy<=L&&yy>=R){ans=max(ans,c[x].t[rt]);return;}
    	int mid=(L+R)>>1;
    	if(cy<=mid)ask1(x,rt<<1,L,mid);
    	if(yy>mid)ask1(x,rt<<1|1,mid+1,R);
    }
    inline void ask(int L,int R,int p)
    {
    	if(cx<=L&&xx>=R){ask1(p,1,1,n);return;}
    	int mid=(L+R)>>1;
    	if(cx<=mid)ask(L,mid,l(p));
    	if(xx>mid)ask(mid+1,R,r(p));
    	return;
    }
    int main()
    {
    	//freopen("1.in","r",stdin);
    	n=read();
    	m1=read();m2=read();
    	rep(1,m1,i)
    	{
    		int x,y,z;
    		x=read();y=read();xx=read();yy=read();z=read();
    		a[x][y]+=z;a[xx+1][y]-=z;a[x][yy+1]-=z;a[xx+1][yy+1]+=z;
    	}
    	rep(1,n,i)rep(1,n,j)a[i][j]+=a[i-1][j]+a[i][j-1]-a[i-1][j-1];
    	/*rep(1,n,i)
    	{
    		rep(1,n,j)
    		cout<<a[i][j]<<' ';
    		cout<<endl;
    	}*/
    	build(1,n,root);
    	rep(1,m2,i)
    	{
    		cx=read();cy=read();xx=read();yy=read();
    		ans=0;ask(1,n,root);
    		printf("%lld\n",ans);
    	}
    	return 0;
    }
    
    • J 看不懂题目 我是废物。
      题目
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  • 原文地址:https://www.cnblogs.com/chdy/p/16653727.html
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