Submission #67474

#	Time	Username	Problem	Language	Result	Execution time	Memory
67474		top34051	Collapse (JOI18_collapse)	C++17	30 / 100	13627 ms	238336 KiB

collapse

//S3
#include "collapse.h"
#include<bits/stdc++.h>
using namespace std;

#define pii pair<int,int>
#define X first
#define Y second
const int maxn = 1e5 + 5;
const int sq = 500;

class dsu_type{
    public:
        int n, com;
        int head[maxn], sz[maxn];
        stack<pii> stk;
        int findhead(int x) {
            if(x==head[x]) return x;
            return findhead(head[x]);
        }
        void init(int _n) {
            n = com = _n;
            for(int i=0;i<n;++i) {
                head[i] = i;
                sz[i] = 1;
            }
            while(!stk.empty()) stk.pop();
        }
        void add_edge(int u, int v) {
            int x = findhead(u), y = findhead(v);
            if(sz[x] > sz[y]) swap(x,y);
            stk.push({x,y});
            if(x!=y) {
                head[x] = y;
                sz[y] += sz[x];
                com--;
            }
        }
        void pop_edge() {
            int x = stk.top().X, y = stk.top().Y; stk.pop();
            if(x!=y) {
                head[x] = x;
                sz[y] -= sz[x];
                com++;
            }
        }
        int getcom() {
            return com;
        }
} dsu;

int n,m,q;
pii p[maxn];
int term[maxn];
int day[maxn];
vector<int> ask[maxn];
vector<pii> edge[maxn*4];
int ord[maxn];
vector<int> wait[maxn];
vector<pii> topping[maxn];
int res[maxn];
map<pii,int> last;

void build(int pos, int l, int r) {
    if(l>r) return ;
    edge[pos].clear();
    if(l==r) return ;
    int mid = (l+r)/2;
    build(pos<<1,l,mid); build(pos<<1|1,mid+1,r);
}

void update(int pos, int l, int r, int x, int y, pii val) {
    if(l>r || r<x || y<l) return ;
    if(x<=l && r<=y) {
        edge[pos].push_back(val);
        return ;
    }
    int mid = (l+r)/2;
    update(pos<<1,l,mid,x,y,val);
    update(pos<<1|1,mid+1,r,x,y,val);
}

void solve(int pos, int l, int r) {
    for(auto t : edge[pos]) dsu.add_edge(t.X,t.Y);
    if(l==r) {
        for(auto x : ask[l]) {
//            printf("solve t = %d\n",l);
            for(auto t : topping[x]) {
                dsu.add_edge(t.X,t.Y);
            }
            res[x] += dsu.getcom();
            for(int i=0;i<topping[x].size();++i) dsu.pop_edge();
        }
    }
    else {
        int mid = (l+r)/2;
        solve(pos<<1,l,mid);
        solve(pos<<1|1,mid+1,r);
    }
}

bool cmpY(int x, int y) {
    return p[x].Y < p[y].Y;
}

bool cmpX(int x, int y) {
    return p[x].X > p[y].X;
}

std::vector<int> simulateCollapse(
    int N,
    std::vector<int> T,
    std::vector<int> X,
    std::vector<int> Y,
    std::vector<int> W,
    std::vector<int> P
) {
    n = N; m = T.size(); q = W.size();
    for(int i=0;i<m;++i) {
        int u = X[i], v = Y[i];
        if(u>v) swap(u,v);
        if(T[i]==0) {
            p[i] = {u,v};
            last[{u,v}] = i;
            term[i] = m-1;
        }
        else {
            term[last[{u,v}]] = i-1;
        }
    }
    for(int i=0;i<q;++i) day[i] = W[i];

    for(int i=0;i<m;++i) ord[i] = i;

    dsu.init(n);

    //solve L
    sort(&ord[0],&ord[m],cmpY);
//    for(int i=0;i<m;++i) printf("\t%d %d : %d\n",p[ord[i]].X,p[ord[i]].Y,ord[i]);

    build(1,0,m-1);

    for(int i=0;i<m;++i) wait[i].clear();
    for(int i=0;i<q;++i) {
        int l = 0, r = m-1, mid, pos = -1;
        while(l<=r) {
            mid = (l+r)/2;
            if(p[ord[mid]].Y <= P[i]) {
                pos = mid;
                l = mid+1;
            }
            else r = mid-1;
        }
        if(pos!=-1) wait[pos].push_back(i);
        else res[i] += n;
//        printf("wait %d = %d\n",i,pos);
    }

    for(int i=0;i<q;++i) topping[i].clear();
    for(int id=0;id*sq<m;id++) {
        //query
        for(int i=id*sq;i<min(m,id*sq+sq);++i) {
            for(auto x : wait[i]) {
                for(int j=id*sq;j<=i;j++) {
                    int t = ord[j];
                    if(T[t]==1) continue;
                    if(t <= day[x]) topping[x].push_back(p[t]);
                }
                ask[day[x]].push_back(x);
//                printf("\task %d at %d\n",x,day[x]);
            }
        }
        dsu.init(n);
        solve(1,0,m-1);
        for(int i=id*sq;i<min(m,id*sq+sq);++i) {
            for(auto x : wait[i]) ask[day[x]].clear();
        }
        //updates
        for(int i=id*sq;i<min(m,id*sq+sq);++i) {
            int x = ord[i];
            if(T[x]==1) continue;
            update(1,0,m-1,x,term[x],p[x]);
        }
    }

//    printf("-----------------------\n");

    //solve R
    sort(&ord[0],&ord[m],cmpX);
//    for(int i=0;i<m;++i) printf("\t%d %d : %d\n",p[ord[i]].X,p[ord[i]].Y,ord[i]);

    build(1,0,m-1);

    for(int i=0;i<m;++i) wait[i].clear();
    for(int i=0;i<q;++i) {
        int l = 0, r = m-1, mid, pos = -1;
        while(l<=r) {
            mid = (l+r)/2;
            if(p[ord[mid]].X > P[i]) {
                pos = mid;
                l = mid+1;
            }
            else r = mid-1;
        }
        if(pos!=-1) wait[pos].push_back(i);
        else res[i] += n;
//        printf("wait %d = %d\n",i,pos);
    }

    for(int i=0;i<q;++i) topping[i].clear();
    for(int id=0;id*sq<m;id++) {
//        printf("id = %d\n",id);
        //query
        for(int i=id*sq;i<min(m,id*sq+sq);++i) {
            for(auto x : wait[i]) {
                for(int j=id*sq;j<=i;j++) {
                    int t = ord[j];
                    if(T[t]==1) continue;
                    if(t <= day[x]) topping[x].push_back(p[t]);
                }
                ask[day[x]].push_back(x);
//                printf("\task %d at %d\n",x,day[x]);
            }
        }
        dsu.init(n);
        solve(1,0,m-1);
        for(int i=id*sq;i<min(m,id*sq+sq);++i) {
            for(auto x : wait[i]) ask[day[x]].clear();
        }
        //updates
        for(int i=id*sq;i<min(m,id*sq+sq);++i) {
            int x = ord[i];
            if(T[x]==1) continue;
            update(1,0,m-1,x,term[x],p[x]);
        }
    }

    vector<int> vec;
    for(int i=0;i<q;++i) vec.push_back(res[i]-n);
    return vec;
}

Compilation message (stderr)

collapse.cpp: In function 'void solve(int, int, int)':
collapse.cpp:92:26: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
             for(int i=0;i<topping[x].size();++i) dsu.pop_edge();
                         ~^~~~~~~~~~~~~~~~~~

• Subtask 1: 0 / 5
• Subtask 2: 0 / 30
• Subtask 3: 30 / 30
• Subtask 4: 0 / 35