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2017多校第9場

1002
離線詢問,把每個詢問變成 q[b]-q[a-1] ,抄一個樹鏈剖分的模板

#include<cstdio>
#include<cstring>
#include<cstdlib>
#include <algorithm>
#include<iostream>
#define inf 0x7fffffff
#define N 400005
#define M 400005
#define ll long long
using namespace std;
int n,cnt,sz,m;
int v[N],dep[N],size[N],head[N],fa[N];
int
pos[N],bl[N]; struct Q { int id,s,t,fg,num; } q[N]; struct W { int w,id; } w[N]; struct data { int to,next; } e[M]; struct seg { int l,r,mx; ll sum; } t[400005*4]; void insert(int u,int v) { e[++cnt].to=v; e[cnt].next=head[u]; head[u]=cnt; e[++cnt].to=u; e[cnt].next
=head[v]; head[v]=cnt; } void dfs1(int x) { size[x]=1; for(int i=head[x]; i; i=e[i].next) { if(e[i].to==fa[x])continue; dep[e[i].to]=dep[x]+1; fa[e[i].to]=x; dfs1(e[i].to); size[x]+=size[e[i].to]; } } void dfs2(int x,int chain) { int k=0
; sz++; pos[x]=sz;//分配x結點線上段樹中的編號 bl[x]=chain; for(int i=head[x]; i; i=e[i].next) if(dep[e[i].to]>dep[x]&&size[e[i].to]>size[k]) k=e[i].to;//選擇子樹最大的兒子繼承重鏈 if(k==0)return; dfs2(k,chain); for(int i=head[x]; i; i=e[i].next) if(dep[e[i].to]>dep[x]&&k!=e[i].to) dfs2(e[i].to,e[i].to);//其餘兒子新開重鏈 } void build(int k,int l,int r)//建線段樹 { t[k].l=l; t[k].r=r; if(l==r)return; int mid=(l+r)>>1; build(k<<1,l,mid); build(k<<1|1,mid+1,r); } void change(int k,int x,int y)//線段樹單點修改 { int l=t[k].l,r=t[k].r,mid=(l+r)>>1; if(l==r) { t[k].sum=t[k].mx=y; return; } if(x<=mid)change(k<<1,x,y); else change(k<<1|1,x,y); t[k].sum=t[k<<1].sum+t[k<<1|1].sum; t[k].mx=max(t[k<<1].mx,t[k<<1|1].mx); } ll querysum(int k,int x,int y)//線段樹區間求和 { int l=t[k].l,r=t[k].r,mid=(l+r)>>1; if(l==x&&y==r)return t[k].sum; if(y<=mid)return querysum(k<<1,x,y); else if(x>mid)return querysum(k<<1|1,x,y); else { return querysum(k<<1,x,mid)+querysum(k<<1|1,mid+1,y); } } ll ask(int x,int y) { ll sum=0; while(bl[x]!=bl[y]) { if(dep[bl[x]]<dep[bl[y]])swap(x,y); sum+=querysum(1,pos[bl[x]],pos[x]); x=fa[bl[x]]; } if(pos[x]>pos[y])swap(x,y); sum+=querysum(1,pos[x],pos[y]); return sum; } bool cmp(Q a,Q b) { return a.num<b.num; } bool cmpw(W a,W b) { return a.w<b.w; } ll res[N]; int s,tt,a,b; void solve() { build(1,1,n); int tot=0; memset(res,0,sizeof res); for(int i=1; i<=n; i++) change(1,pos[i],0); for (int i=1; i<=m; i++) { scanf("%d%d%d%d",&s,&tt,&a,&b); q[++tot].s=s; q[tot].t=tt; q[tot].num=a-1; q[tot].fg=-1; q[tot].id=i; q[++tot].s=s; q[tot].t=tt; q[tot].num=b; q[tot].fg=1; q[tot].id=i; } sort(q+1,q+tot+1,cmp); sort(w+1,w+1+n,cmpw); int now=1; for (int i=1; i<=tot; i++) { while(w[now].w <= q[i].num && now<=n) { change(1,pos[w[now].id],w[now].w); now++; } res[q[i].id] += q[i].fg * ask(q[i].s,q[i].t); } for (int i=1; i<=m; i++) printf("%lld%c",res[i],i==m?'\n':' '); } int main() { while (scanf("%d%d",&n,&m)!=EOF) { memset(head,0,sizeof head); memset(size,0,sizeof size); memset(dep,0,sizeof dep); memset(fa,0,sizeof fa); memset(pos,0,sizeof pos); memset(bl,0,sizeof bl); sz=0; cnt=0; for(int i=1; i<=n; i++) { scanf("%d",&v[i]); w[i].w=v[i]; w[i].id=i; } for(int i=1; i<n; i++) { int x,y; scanf("%d%d",&x,&y); insert(x,y); } dfs1(1); dfs2(1,1); solve(); } return 0; }

1008
每得到一個新的答案,暴力刪除所有之前的答案和這個的答案的和,類似篩法,辣雞方法用lower_bound寫的

#include <bits/stdc++.h>
using namespace std;

int mark[130000],res[1010],a[130000];
int main()
{
    int n;
    //freopen("tst.in","r",stdin);
    while (scanf("%d",&n)!=EOF)
    {
        memset(mark,0,sizeof mark);
        for (int i=1;i<=n;i++)
          scanf("%d",&a[i]);
        sort(a+1,a+1+n);
        res[1] = a[1];
        int cnt=1;
        int now=2;
        int pret;
        while ( cnt*(cnt+1)/2 < n )
        {
            res[++cnt] = a[now++];
            pret=now;
            for (int j=1;j<cnt;j++)
            {
                int tar=res[cnt] + res[j];
                int t=lower_bound(a+pret,a+1+n,tar)-a;
                while (mark[t]==1 && a[t+1]==tar) t++;
                mark[t] = 1;
                pret=t;
                while (mark[now]==1) now++;
            }
        }

        printf("%d\n",cnt);
        for (int i=1;i<=cnt;i++)
            printf("%d%c",res[i],i==cnt?'\n':' ');
    }
    return 0;
}

1010
把每個*和前面的字母合併,則這個字母就是一個閉包,可以取0到無窮個
對閉包和非閉包的字母分開匹配,類似做一個FA

#include <bits/stdc++.h>
#define ll long long
#define clr(x,y) memset(x,y,sizeof x)
using namespace std;

int dp[2650][2600],hull[2555] ;
char s1[2510],s2[2555],str[2555];
int n,m,len;
void nxt(int i,int j)
{
    int tmp=i+1;
    while (s1[tmp] == s1[tmp-1] && tmp<=n)
    {
        dp[tmp][j] = 1;
        tmp++;
    }
}
int main()
{
    int T;
    scanf("%d",&T);
    while(T --)
    {
        scanf("%s%s",s1+1,str+1);
        memset(hull,0,sizeof hull);
        n=strlen(s1+1);len=strlen(str+1);m=0;
        for (int i=1; i<=len; i++)
            if (str[i]=='*') hull[m]=1; else s2[++m]=str[i];
        clr(dp,0) ;
        int tmp=1;
        while (hull[tmp]) dp[0][tmp++]=1;
        dp[0][0] = 1;
        for(int i=1; i<= n; i++)
            for(int j=1; j<=m; j++)
                if (dp[i][j]==0)
                {
                    if (hull[j]==0)
                    {
                        if(s2[j]== '.')
                            dp[i][j] |= dp[i-1][j-1]|dp[i][j-1] ;
                        else
                            if(s1[i] == s2[j]) dp[i][j] |= dp[i-1][j-1] ;
                            else dp[i][j] = 0;

                    }
                    else
                    {
                        if (s2[j]=='.')
                        {
                            dp[i][j] |= dp[i-1][j-1];
                            if (dp[i][j]) nxt(i,j);
                        }
                        else
                        {
                            if(s1[i] == s2[j]) dp[i][j] |= dp[i-1][j-1] ;
                            else dp[i][j] = 0;
                            if (dp[i][j]) nxt(i,j);
                        }
                        dp[i][j]|=dp[i][j-1];
                    }
                }
        if(dp[n][m])  puts("yes");
        else puts("no");
    }
    return 0;
}