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  • E. Intersection of Permutations

    题意:给两个排列,2种操作1,查询两个区间a和b一样的值个数,2,交换b的两个值
    题解:树套树,先把a变成1到n的排列,对b做相同的变换,然后问题就变成了查询区间lb,rb中la到ra的个数,带修改可以树状数组套主席树,需要内存回收

    //#pragma GCC optimize(2)
    //#pragma GCC optimize(3)
    //#pragma GCC optimize(4)
    //#pragma GCC optimize("unroll-loops")
    //#pragma comment(linker, "/stack:200000000")
    //#pragma GCC optimize("Ofast,no-stack-protector")
    //#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
    #include<bits/stdc++.h>
    #define fi first
    #define se second
    #define db double
    #define mp make_pair
    #define pb push_back
    #define pi acos(-1.0)
    #define ll long long
    #define vi vector<int>
    #define mod 998244353
    #define ld long double
    //#define C 0.5772156649
    //#define ls l,m,rt<<1
    //#define rs m+1,r,rt<<1|1
    #define pll pair<ll,ll>
    #define pil pair<int,ll>
    #define pli pair<ll,int>
    #define pii pair<int,int>
    #define ull unsigned long long
    //#define base 1000000000000000000
    #define fin freopen("a.txt","r",stdin)
    #define fout freopen("a.txt","w",stdout)
    #define fio ios::sync_with_stdio(false);cin.tie(0)
    inline ll gcd(ll a,ll b){return b?gcd(b,a%b):a;}
    inline void sub(ll &a,ll b){a-=b;if(a<0)a+=mod;}
    inline void add(ll &a,ll b){a+=b;if(a>=mod)a-=mod;}
    template<typename T>inline T const& MAX(T const &a,T const &b){return a>b?a:b;}
    template<typename T>inline T const& MIN(T const &a,T const &b){return a<b?a:b;}
    inline ll qp(ll a,ll b){ll ans=1;while(b){if(b&1)ans=ans*a%mod;a=a*a%mod,b>>=1;}return ans;}
    inline ll qp(ll a,ll b,ll c){ll ans=1;while(b){if(b&1)ans=ans*a%c;a=a*a%c,b>>=1;}return ans;}
    
    using namespace std;
    
    const ull ba=233;
    const db eps=1e-8;
    const ll INF=0x3f3f3f3f3f3f3f3f;
    const int N=200000+10,maxn=200000+10,inf=0x3f3f3f3f;
    
    int n,m;
    int q[N*150],top;
    struct bit_seg{
        int root[N],ls[N*150],rs[N*150],sum[N*150],res;
        bit_seg(){res=0;}
        void update(int &o,int pos,int v,int l,int r)
        {
            if(!o)
            {
                if(top)o=q[top--];
                else o=++res;
            }
            sum[o]+=v;
            if(l==r)return ;
            int m=(l+r)>>1;
            if(pos<=m)update(ls[o],pos,v,l,m);
            else update(rs[o],pos,v,m+1,r);
            if(!sum[o])q[++top]=o,o=0;
        }
        int query(int L,int R,int o,int l,int r)
        {
            if(!o)return 0;
            if(L<=l&&r<=R)return sum[o];
            int m=(l+r)>>1,ans=0;
            if(L<=m)ans+=query(L,R,ls[o],l,m);
            if(m<R)ans+=query(L,R,rs[o],m+1,r);
            return ans;
        }
        int bitquery(int la,int ra,int lb,int rb)
        {
            int ans=0;
            for(int i=rb;i;i-=i&(-i))ans+=query(la,ra,root[i],1,n);
            for(int i=lb-1;i;i-=i&(-i))ans-=query(la,ra,root[i],1,n);
            return ans;
        }
        void bitupdate(int i,int pos,int v)
        {
            for(;i<=n;i+=i&(-i))update(root[i],pos,v,1,n);
        }
    }s;
    int a[N],b[N],c[N];
    int main()
    {
        scanf("%d%d",&n,&m);
        for(int i=1;i<=n;i++)scanf("%d",&a[i]),c[a[i]]=i;
        for(int i=1;i<=n;i++)scanf("%d",&b[i]),b[i]=c[b[i]];
        for(int i=1;i<=n;i++)s.bitupdate(i,b[i],1);
        for(int i=1;i<=m;i++)
        {
            int op;scanf("%d",&op);
            if(op==1)
            {
                int la,ra,lb,rb;scanf("%d%d%d%d",&la,&ra,&lb,&rb);
                printf("%d
    ",s.bitquery(la,ra,lb,rb));
            }
            else
            {
                int x,y;scanf("%d%d",&x,&y);
                s.bitupdate(x,b[x],-1);s.bitupdate(y,b[y],-1);
                swap(b[x],b[y]);
                s.bitupdate(x,b[x],1),s.bitupdate(y,b[y],1);
            }
        }
        return 0;
    }
    /********************
    
    ********************/
    

    平板电视的精简版

    //#pragma GCC optimize(2)
    //#pragma GCC optimize(3)
    //#pragma GCC optimize(4)
    //#pragma GCC optimize("unroll-loops")
    //#pragma comment(linker, "/stack:200000000")
    //#pragma GCC optimize("Ofast,no-stack-protector")
    //#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
    #include<bits/stdc++.h>
    #include <bits/extc++.h>
    #define fi first
    #define se second
    #define db double
    #define mp make_pair
    #define pb push_back
    #define pi acos(-1.0)
    #define ll long long
    #define vi vector<int>
    #define mod 1000000007
    #define ld long double
    //#define C 0.5772156649
    #define ls l,m,rt<<1
    #define rs m+1,r,rt<<1|1
    #define pll pair<ll,ll>
    #define pil pair<int,ll>
    #define pli pair<ll,int>
    #define pii pair<int,int>
    #define ull unsigned long long
    //#define base 1000000000000000000
    #define fin freopen("a.txt","r",stdin)
    #define fout freopen("a.txt","w",stdout)
    #define fio ios::sync_with_stdio(false);cin.tie(0)
    inline ll gcd(ll a,ll b){return b?gcd(b,a%b):a;}
    inline void sub(ll &a,ll b){a-=b;if(a<0)a+=mod;}
    inline void add(ll &a,ll b){a+=b;if(a>=mod)a-=mod;}
    template<typename T>inline T const& MAX(T const &a,T const &b){return a>b?a:b;}
    template<typename T>inline T const& MIN(T const &a,T const &b){return a<b?a:b;}
    inline ll qp(ll a,ll b){ll ans=1;while(b){if(b&1)ans=ans*a%mod;a=a*a%mod,b>>=1;}return ans;}
    inline ll qp(ll a,ll b,ll c){ll ans=1;while(b){if(b&1)ans=ans*a%c;a=a*a%c,b>>=1;}return ans;}
    
    using namespace std;
    using namespace __gnu_pbds;
    
    const ull ba=233;
    const db eps=1e-6;
    const ll INF=0x3f3f3f3f3f3f3f3f;
    const int N=200000+10,maxn=200000+10,inf=0x3f3f3f3f;
    
    template <class T>
    using Tree = tree<T, null_type, std::less<T>, rb_tree_tag,tree_order_statistics_node_update>;
    int a[N],b[N],c[N],n,m;
    struct bit{
        Tree<int>t[N];
        void update(int i,int pos,int v)
        {
            for(;i<=n;i+=i&(-i))
            {
                if(v==1)t[i].insert(pos);
                else t[i].erase(pos);
            }
        }
        int query(int la,int ra,int lb,int rb)
        {
            int ans=0;
            for(int i=rb;i;i-=i&(-i))ans+=t[i].order_of_key(ra+1)-t[i].order_of_key(la);
            for(int i=lb-1;i;i-=i&(-i))ans-=t[i].order_of_key(ra+1)-t[i].order_of_key(la);
            return ans;
        }
    }bi;
    int main()
    {
        scanf("%d%d",&n,&m);
        for(int i=1;i<=n;i++)scanf("%d",&a[i]),c[a[i]]=i;
        for(int i=1;i<=n;i++)scanf("%d",&b[i]),b[i]=c[b[i]],bi.update(i,b[i],1);
        for(int i=1;i<=m;i++)
        {
            int op;scanf("%d",&op);
            if(op==1)
            {
                int la,ra,lb,rb;scanf("%d%d%d%d",&la,&ra,&lb,&rb);
                printf("%d
    ",bi.query(la,ra,lb,rb));
            }
            else
            {
                int x,y;scanf("%d%d",&x,&y);
                bi.update(x,b[x],-1),bi.update(y,b[y],-1);
                swap(b[x],b[y]);
                bi.update(x,b[x],1),bi.update(y,b[y],1);
            }
        }
        return 0;
    }
    /********************
    
    ********************/
    
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  • 原文地址:https://www.cnblogs.com/acjiumeng/p/10152696.html
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