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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#153666#6304. Rectanglechen_zexingWA 43ms24916kbC++1711.7kb2023-08-30 17:59:572023-08-30 17:59:58

Judging History

你现在查看的是最新测评结果

  • [2023-08-30 17:59:58]
  • 评测
  • 测评结果:WA
  • 用时:43ms
  • 内存:24916kb
  • [2023-08-30 17:59:57]
  • 提交

answer

#pragma GCC optimize("Ofast,unroll-loops")
#include <bits/stdc++.h>
using namespace std;
long long mod=998244353;
int b[200005];
long long qpow(long long a,long long b){
    long long ans=1;
    while(b){
        if(b&1) ans=ans*a%mod;
        b>>=1;
        a=a*a%mod;
    }
    return ans;
}
struct seg_tree{
    struct nod{
        int mn,mx,id;
        long long sum,w;
    }tree[800005];
    multiset <int> s[200005];
    int n;
    void init(int node,int l,int r){
        tree[node].mn=tree[node].mx=1e9;
        tree[node].id=node;
        if(l==r){
            tree[node].sum=1LL*(b[l+1]-b[l])*tree[node].mx%mod;
            tree[node].w=(b[l+1]-b[l]);
            return;
        }
        int mid=(l+r)>>1;
        init(node*2,l,mid),init(node*2+1,mid+1,r);
        tree[node].sum=(tree[node*2].sum+tree[node*2+1].sum)%mod;
        tree[node].w=(tree[node*2].w+tree[node*2+1].w)%mod;
    }
    nod merge(nod a,nod b){
        //cout<<"#"<<a.sum<<" "<<b.sum<<endl;
        if(a.mn==a.mx){
            nod ans;
            if(a.mn<b.mn) ans.mn=a.mn,ans.mx=b.mx,ans.sum=(a.sum+b.sum)%mod,ans.id=-1,ans.w=(a.w+b.w)%mod;
            else ans.mn=b.mn,ans.mx=b.mx,ans.sum=(b.sum+1LL*b.mn*a.w)%mod,ans.id=-1,ans.w=(a.w+b.w)%mod;
            return ans;
        }
        else{
            if(tree[a.id*2+1].mn<b.mn){
                nod temp=merge(tree[a.id*2+1],b);
                //cout<<a.sum<<" "<<b.sum<<" "<<temp.sum<<endl;
                return nod{a.mn,b.mx,-1,(a.sum-tree[a.id*2+1].sum+temp.sum)%mod,(a.w+b.w)%mod};
            }
            else{
                b.sum=(b.sum+tree[a.id*2+1].w*b.mn)%mod,b.w=(b.w+tree[a.id*2+1].w)%mod;
                return merge(tree[a.id*2],b);
            }
        }
    }
    void update(int node,int l,int r,int pos,int v){
        if(l==r){
            tree[node].mn=tree[node].mx=v;
            tree[node].sum=tree[node].w*v%mod;
            return;
        }
        int mid=(l+r)>>1;
        if(pos<=mid) update(node*2,l,mid,pos,v);
        else update(node*2+1,mid+1,r,pos,v);
        tree[node]=merge(tree[node*2],tree[node*2+1]);
        tree[node].id=node;
        //cout<<pos<<" "<<v<<endl;
        //cout<<l<<" "<<r<<" "<<tree[node].sum<<endl;
    }
    nod query(int node,int l,int r,int L,int lb,nod pre){
        if(L>r) return nod{0,0,0,0,0};
        if(l>=L){
            if(tree[node].mx<lb) return pre;
            if(tree[node].mn>=lb) return merge(tree[node],pre);
            int mid=(l+r)>>1;
            if(tree[node*2+1].mn>=lb) return query(node*2,l,mid,L,lb,merge(tree[node*2+1],pre));
            else return query(node*2+1,mid+1,r,L,lb,pre);
        }
        int mid=(l+r)>>1;
        if(L<=mid) return query(node*2,l,mid,L,lb,merge(tree[node*2+1],pre));
        else return query(node*2+1,mid+1,r,L,lb,pre);
    }
    int query_sg(int node,int l,int r,int pos){
        if(l==r) return tree[node].mn;
        int mid=(l+r)>>1;
        if(pos<=mid) return min(tree[node*2+1].mn,query_sg(node*2,l,mid,pos));
        else return query_sg(node*2+1,mid+1,r,pos);
    }
    void init(int len){
        n=len;
        for(int i=1;i<=n;i++) s[i].clear();
        init(1,1,n);
    }
    void insert(int pos,int x){
        if(!pos) return;
        s[pos].insert(x);
        update(1,1,n,pos,(*s[pos].begin()));
    }
    void del(int pos,int x){
        if(!pos) return;
        s[pos].erase(s[pos].find(x));
        if(s[pos].size()) update(1,1,n,pos,*s[pos].begin());
        else update(1,1,n,pos,1e9);
    }
    long long query(int l,int r,int bd){
        if(l>r) return 0;
        //cout<<l<<" "<<r<<" "<<bd<<endl;
        auto t1=query(1,1,n,l,bd,nod{int(1e9),int(1e9),0,0,0}),t2=query(1,1,n,r+1,bd,nod{int(1e9),int(1e9),0,0,0});
        //cout<<t1.sum<<" "<<t2.sum<<" "<<t1.w-t2.w<<endl;
        long long ans=((t1.sum-t2.sum-(t1.w-t2.w)*(bd-1))%mod+mod)%mod;
        return ((t1.sum-t2.sum-(t1.w-t2.w)*(bd-1))%mod+mod)%mod;
    }
}Tr;
int x[100005],y[100005],xx[100005],yy[100005];
int yv[200005];
map <int,vector<pair<int,int>>> mp[2];
long long dp[300005][4],predp[300005][4];
int xv[100005],xxv[100005],pre[200005],c[300005];
long long C(int n,int m){
    if(n<m) return 0;
    long long ans=1,fac=1;
    for(int i=n;i>n-m;i--) ans*=i,ans%=mod;
    for(int i=m;i;i--) fac=fac*i%mod;
    //cout<<n<<" "<<m<<" "<<ans*qpow(fac,mod-2)%mod<<endl;
    return ans*qpow(fac,mod-2)%mod;
}
int main() {
    int T = 1, kase = 0;
    cin >> T;
    while (T--) {
        int n;
        scanf("%d",&n);
        for(int i=1;i<=n;i++) scanf("%d%d%d%d",&x[i],&y[i],&xx[i],&yy[i]);
        long long ans=0;
        multiset <int> lp;
        multiset <int,greater<int>> rp;

        lp.clear(),rp.clear();
        int cnt,ycnt;
        cnt=0,ycnt=0;
        mp[0].clear(),mp[1].clear();
        for(int i=1;i<=n;i++){
            b[++cnt]=x[i],b[++cnt]=xx[i],yv[++ycnt]=y[i],yv[++ycnt]=yy[i];
            mp[1][y[i]].push_back({x[i],xx[i]}),mp[0][yy[i]].push_back({x[i],xx[i]});
        }
        b[++cnt]=1,b[++cnt]=1e9+1;
        sort(b+1,b+cnt+1);
        cnt=unique(b+1,b+cnt+1)-b-1;
        yv[++ycnt]=1,yv[++ycnt]=1e9;
        sort(yv+1,yv+ycnt+1);
        ycnt=unique(yv+1,yv+ycnt+1)-yv-1;
        Tr.init(cnt-1);
        for(int i=1;i<=n;i++){
            lp.insert(xx[i]),rp.insert(x[i]);
            Tr.insert(lower_bound(b+1,b+cnt+1,x[i])-b-1,xx[i]);
        }
        for(int i=1;i<=ycnt;i++){
            //cout<<yv[i]<<" "<<yv[i+1]<<endl;
            for(auto t:mp[1][yv[i]]){
                //cout<<"----"<<t.first<<" "<<t.second<<endl;
                lp.erase(lp.find(t.second)),rp.erase(rp.find(t.first));
                Tr.del(lower_bound(b+1,b+cnt+1,t.first)-b-1,t.second);
            }
            int lb=lp.size()?(*lp.begin()):1e9,rb=rp.size()?(*rp.begin()):1;
            ans+=Tr.query(1,lower_bound(b+1,b+cnt+1,lb)-b-1,rb),ans%=mod;
            ans+=max(0,Tr.query_sg(1,1,cnt-1,lower_bound(b+1,b+cnt+1,lb)-b)-rb+1),ans%=mod;
            if(lb>=rb) ans-=1LL*(lb-rb+2)*(lb-rb+1)/2,ans%=mod;
            if(ans<0) ans+=mod;
            //cout<<ans<<endl;
            if(i!=ycnt){
                for(auto t:mp[0][yv[i]]){
                    lp.insert(t.second),rp.insert(t.first);
                    Tr.insert(lower_bound(b+1,b+cnt+1,t.first)-b-1,t.second);
                }
                lb=lp.size()?(*lp.begin()):1e9,rb=rp.size()?(*rp.begin()):1;
                ans+=Tr.query(1,lower_bound(b+1,b+cnt+1,lb)-b-1,rb)*(yv[i+1]-yv[i]-1)%mod,ans%=mod;
                ans+=1LL*max(0,Tr.query_sg(1,1,cnt-1,lower_bound(b+1,b+cnt+1,lb)-b)-rb+1)*(yv[i+1]-yv[i]-1)%mod,ans%=mod;
                if(lb>=rb) ans-=1LL*(lb-rb+2)*(lb-rb+1)/2%mod*(yv[i+1]-yv[i]-1)%mod,ans%=mod;
                if(ans<0) ans+=mod;
            }
            //cout<<ans<<endl;
        }
        int cc=0;
        for(int i=1;i<=n;i++) c[++cc]=x[i],c[++cc]=xx[i]+1,c[++cc]=xx[i];
        c[++cc]=1,c[++cc]=1e9+1;
        sort(c+1,c+cc+1),cc=unique(c+1,c+cc+1)-c-1;
        for(int i=0;i<=cc;i++) pre[i]=-1;
        for(int i=1;i<=n;i++){
            xv[i]=lower_bound(c+1,c+cc+1,x[i])-c;
            xxv[i]=lower_bound(c+1,c+cc+1,xx[i])-c;
            //cout<<xv[i]<<" "<<xxv[i]<<endl;
            pre[xxv[i]]=max(pre[xxv[i]],xv[i]);
        }
        for(int i=1;i<=cc;i++){
            pre[i]=max(pre[i],pre[i-1]);
            //cout<<"#"<<i<<" "<<pre[i]<<endl;
        }
        dp[0][0]=predp[0][0]=1;
        for(int i=1;i<cc;i++){
            for(int j=1;j<=3;j++) {
                dp[i][j]=0;
                for (int k = 0; k < j; k++)
                    dp[i][j] += (predp[i - 1][k] - (pre[i-1] == -1 ? 0 : predp[pre[i-1]-1][k])) * C(c[i + 1] - c[i], j - k) %
                                mod, dp[i][j] %= mod;
                //cout<<"dp[i][j] "<<i<<" "<<j<<" "<<dp[i][j]<<endl;
            }
            for(int j=0;j<=3;j++) predp[i][j]=(predp[i-1][j]+dp[i][j])%mod;
            if(pre[cc]<=i) ans=(ans+dp[i][3])%mod;
        }
        //cout<<ans<<endl;
        for(int i=1;i<=n;i++) swap(x[i],y[i]),swap(xx[i],yy[i]);


        lp.clear(),rp.clear();
        cnt=0,ycnt=0;
        mp[0].clear(),mp[1].clear();
        for(int i=1;i<=n;i++){
            b[++cnt]=x[i],b[++cnt]=xx[i],yv[++ycnt]=y[i],yv[++ycnt]=yy[i];
            mp[1][y[i]].push_back({x[i],xx[i]}),mp[0][yy[i]].push_back({x[i],xx[i]});
        }
        b[++cnt]=1,b[++cnt]=1e9+1;
        sort(b+1,b+cnt+1);
        cnt=unique(b+1,b+cnt+1)-b-1;
        yv[++ycnt]=1,yv[++ycnt]=1e9;
        sort(yv+1,yv+ycnt+1);
        ycnt=unique(yv+1,yv+ycnt+1)-yv-1;
        Tr.init(cnt-1);
        for(int i=1;i<=n;i++){
            lp.insert(xx[i]),rp.insert(x[i]);
            Tr.insert(lower_bound(b+1,b+cnt+1,x[i])-b-1,xx[i]);
        }
        for(int i=1;i<=ycnt;i++){
            //cout<<yv[i]<<" "<<yv[i+1]<<endl;
            for(auto t:mp[1][yv[i]]){
                //cout<<"----"<<t.first<<" "<<t.second<<endl;
                lp.erase(lp.find(t.second)),rp.erase(rp.find(t.first));
                Tr.del(lower_bound(b+1,b+cnt+1,t.first)-b-1,t.second);
            }
            int lb=lp.size()?(*lp.begin()):1e9,rb=rp.size()?(*rp.begin()):1;
            ans+=Tr.query(1,lower_bound(b+1,b+cnt+1,lb)-b-1,rb),ans%=mod;
            ans+=max(0,Tr.query_sg(1,1,cnt-1,lower_bound(b+1,b+cnt+1,lb)-b)-rb+1),ans%=mod;
            if(lb>=rb) ans-=1LL*(lb-rb+2)*(lb-rb+1)/2,ans%=mod;
            if(ans<0) ans+=mod;
            //cout<<ans<<endl;
            if(i!=ycnt){
                for(auto t:mp[0][yv[i]]){
                    lp.insert(t.second),rp.insert(t.first);
                    Tr.insert(lower_bound(b+1,b+cnt+1,t.first)-b-1,t.second);
                }
                lb=lp.size()?(*lp.begin()):1e9,rb=rp.size()?(*rp.begin()):1;
                ans+=Tr.query(1,lower_bound(b+1,b+cnt+1,lb)-b-1,rb)*(yv[i+1]-yv[i]-1)%mod,ans%=mod;
                ans+=1LL*max(0,Tr.query_sg(1,1,cnt-1,lower_bound(b+1,b+cnt+1,lb)-b)-rb+1)*(yv[i+1]-yv[i]-1)%mod,ans%=mod;
                if(lb>=rb) ans-=1LL*(lb-rb+2)*(lb-rb+1)/2%mod*(yv[i+1]-yv[i]-1)%mod,ans%=mod;
                if(ans<0) ans+=mod;
            }
            //cout<<ans<<endl;
        }
        cc=0;
        for(int i=1;i<=n;i++) c[++cc]=x[i],c[++cc]=xx[i]+1,c[++cc]=xx[i];
        c[++cc]=1,c[++cc]=1e9+1;
        sort(c+1,c+cc+1),cc=unique(c+1,c+cc+1)-c-1;
        for(int i=0;i<=cc;i++) pre[i]=-1;
        for(int i=1;i<=n;i++){
            xv[i]=lower_bound(c+1,c+cc+1,x[i])-c;
            xxv[i]=lower_bound(c+1,c+cc+1,xx[i])-c;
            //cout<<xv[i]<<" "<<xxv[i]<<endl;
            pre[xxv[i]]=max(pre[xxv[i]],xv[i]);
        }
        for(int i=1;i<=cc;i++){
            pre[i]=max(pre[i],pre[i-1]);
            //cout<<"#"<<i<<" "<<pre[i]<<endl;
        }
        dp[0][0]=predp[0][0]=1;
        for(int i=1;i<cc;i++){
            for(int j=1;j<=3;j++) {
                dp[i][j]=0;
                for (int k = 0; k < j; k++)
                    dp[i][j] += (predp[i - 1][k] - (pre[i-1] == -1 ? 0 : predp[pre[i-1]-1][k])) * C(c[i + 1] - c[i], j - k) %
                                mod, dp[i][j] %= mod;
                //cout<<"dp[i][j] "<<i<<" "<<j<<" "<<dp[i][j]<<endl;
            }
            for(int j=0;j<=3;j++) predp[i][j]=(predp[i-1][j]+dp[i][j])%mod;
            if(pre[cc]<=i) ans=(ans+dp[i][3])%mod;
        }
        //cout<<ans<<endl;
        for(int i=1;i<=n;i++) swap(x[i],y[i]),swap(xx[i],yy[i]);


        printf("%lld\n",(ans%mod+mod)%mod);
    }
    return 0;
}
/*
3
1
1 1 1000000000 1000000000
3
1 1 2 2
3 3 4 4
5 5 6 6
5
581574116 47617804 999010750 826131769
223840663 366320907 613364068 926991396
267630832 51913575 488301124 223957497
217461197 492085159 999485867 913732845
28144453 603781668 912516656 993160442
 */
/*
1
3
1 1 2 2
3 3 4 4
5 5 6 6
 */

详细

Test #1:

score: 100
Accepted
time: 5ms
memory: 24844kb

input:

3
1
1 1 1000000000 1000000000
3
1 1 2 2
3 3 4 4
5 5 6 6
5
581574116 47617804 999010750 826131769
223840663 366320907 613364068 926991396
267630832 51913575 488301124 223957497
217461197 492085159 999485867 913732845
28144453 603781668 912516656 993160442

output:

230616300
64
977066618

result:

ok 3 number(s): "230616300 64 977066618"

Test #2:

score: -100
Wrong Answer
time: 43ms
memory: 24916kb

input:

1000
10
5 7 6 10
4 3 6 9
1 6 3 7
1 1 7 10
1 2 7 7
5 2 8 3
2 1 5 7
1 1 10 6
1 7 2 8
4 7 5 9
10
6 6 8 10
4 4 9 9
2 4 6 5
5 3 10 10
1 3 4 4
2 2 3 6
7 5 8 6
2 7 8 8
5 7 10 10
2 4 7 8
10
3 6 6 10
1 2 7 4
7 5 10 9
4 5 8 9
2 7 5 9
2 2 9 7
3 3 8 4
1 1 8 6
5 4 10 6
3 9 7 10
10
3 1 8 9
1 3 8 10
4 1 7 4
2 4 5 ...

output:

28090346
21067815
91293528
63203269
14045217
28090337
50913763
56180656
10533942
83
28090372
101827338
514657075
38624242
12289571
42135595
7022614
7022661
7022622
31601641
21067817
35112979
7022628
7022682
17556485
42135554
59692019
28090452
15800844
73737099
47402422
31601703
49158091
28090434
108...

result:

wrong answer 6th numbers differ - expected: '24579047', found: '28090337'