Submission #819177

# Submission time Handle Problem Language Result Execution time Memory
819177 2023-08-10T08:19:01 Z 반딧불(#10131) Dragon 2 (JOI17_dragon2) C++17
0 / 100
4000 ms 6240 KB
#include <bits/stdc++.h>
#define all(x) (x).begin(), (x).end()

using namespace std;

typedef long long ll;

void input();
void init();
void solve();
void output();

int main(){
    input();
    init();
    solve();
    output();
}

struct vector2{
    ll x, y;
    vector2(){}
    vector2(ll x, ll y): x(x), y(y){}

    vector2 operator+(const vector2 &r)const{
        return vector2(x+r.x, y+r.y);
    }

    vector2 operator-(const vector2 &r)const{
        return vector2(x-r.x, y-r.y);
    }

    ll cross(vector2 r)const{
        return x*r.y - y*r.x;
    }

    bool operator<(const vector2 &r)const{
        return cross(r) < 0;
    }
};

ll ccw(vector2 a, vector2 b){
    return a.cross(b);
}

ll ccw(vector2 a, vector2 b, vector2 c){
    return (b-a).cross(c-a);
}

int n, m, q;
int tribe[3002];
vector2 point[30002], la, lb;
vector<int> tribeVec[30002];
int qx[100002], qy[100002];

void input(){
    scanf("%d %d", &n, &m);
    for(int i=1; i<=n; i++){
        scanf("%lld %lld %d", &point[i].x, &point[i].y, &tribe[i]);
        tribeVec[tribe[i]].push_back(i);
    }
    scanf("%lld %lld %lld %lld", &la.x, &la.y, &lb.x, &lb.y);
    scanf("%d", &q);
    for(int i=1; i<=q; i++){
        scanf("%d %d", &qx[i], &qy[i]);
    }
}

vector2 pointA[30002], pointB[30002]; bool type[30002];
vector<int> tribeGroupA[30002][2], tribeGroupB[30002][2];
int idxA[30002], idxB[30002], tribeCnt[30002];

void init(){
    for(int i=1; i<=n; i++){
        tribeCnt[tribe[i]]++;
        pointA[i] = point[i] - la, pointB[i] = point[i] - lb;
        if(ccw(la, lb, point[i]) > 0) type[i] = 0;
        else type[i] = 1;
        tribeGroupA[tribe[i]][type[i]].push_back(i);
        tribeGroupB[tribe[i]][type[i]].push_back(i);
    }

    for(int i=1; i<=m; i++){
        for(int t=0; t<2; t++){
            sort(tribeGroupA[i][t].begin(), tribeGroupA[i][t].end(), [&](int x, int y){
                return ccw(pointA[x], pointA[y]) < 0;
            });
            for(int j=0; j<(int)tribeGroupA[i][t].size(); j++) idxA[tribeGroupA[i][t][j]] = j;
            sort(tribeGroupB[i][t].begin(), tribeGroupB[i][t].end(), [&](int x, int y){
                return ccw(pointB[x], pointB[y]) < 0;
            });
            for(int j=0; j<(int)tribeGroupB[i][t].size(); j++) idxB[tribeGroupB[i][t][j]] = j;
        }
    }
}

struct Fenwick{
    int n;
    int tree[30002];

    void init(int _n){
        n = _n;
        for(int i=1; i<=n; i++) tree[i] = 0;
    }

    void add(int x, int y){
        while(x<=n){
            tree[x] += y;
            x+=x&-x;
        }
    }

    int sum(int x){
        int ret = 0;
        while(x>0){
            ret += tree[x];
            x-=x&-x;
        }
        return ret;
    }

    int sum(int l, int r){
        if(l>r) return 0;
        return sum(r) - sum(l-1);
    }
} fenwick;

int ans[100002];

void addAns(int s, int e, int q){
    /// [s][0] -> [e][1]로 가는 것들만을 센다.
    int ret = 0, sz = (int)tribeGroupA[e][1].size();
    for(int x: tribeGroupA[s][0]){
        ret += sz;
        ret -= sz - (upper_bound(tribeGroupA[e][1].begin(), tribeGroupA[e][1].end(), x, [&](int A, int B){
            return ccw(pointA[A], pointA[B]) > 0;
        }) - tribeGroupA[e][1].begin());
        ret -= upper_bound(tribeGroupB[e][1].begin(), tribeGroupB[e][1].end(), x, [&](int A, int B){
            return ccw(pointB[A], pointB[B]) > 0;
        }) - tribeGroupB[e][1].begin();
    }
    ans[q] += ret;
}

struct Query{
    int x, yl, yr, v, q;
    Query(){}
    Query(int x, int yl, int yr, int v, int q): x(x), yl(yl), yr(yr), v(v), q(q){}
    bool operator<(const Query &r)const{
        return x<r.x;
    }
};
vector<Query> qvec[30002][2];

void addQuery1(int s, int e, int from, int q){
    if(tribeGroupA[s][from].empty() || tribeGroupA[e][from].empty()) return;
    for(int x: tribeGroupA[s][from]){
        int aidx = upper_bound(all(tribeGroupA[e][from]), x, [&](int A, int B){return ccw(pointA[A],pointA[B])<0;}) - tribeGroupA[e][from].begin();
        int bidx = upper_bound(all(tribeGroupB[e][from]), x, [&](int A, int B){return ccw(pointB[A],pointB[B])<0;}) - tribeGroupB[e][from].begin();
        if(from == 0) qvec[e][0].push_back(Query(aidx-1, 0, bidx-1, -1, q));
        else qvec[e][1].push_back(Query(aidx-1, bidx, (int)tribeGroupB[e][from].size()-1, 1, q));
    }
}

void addQuery2(int s, int e, int from, int q){
    if(tribeGroupA[s][from].empty() || tribeGroupA[e][from].empty()) return;
    for(int x: tribeGroupA[e][from]){
        int aidx = upper_bound(all(tribeGroupA[s][from]), x, [&](int A, int B){return ccw(pointA[A],pointA[B])<0;}) - tribeGroupA[s][from].begin();
        int bidx = upper_bound(all(tribeGroupB[s][from]), x, [&](int A, int B){return ccw(pointB[A],pointB[B])<0;}) - tribeGroupB[s][from].begin();
        if(from == 0) qvec[s][0].push_back(Query(aidx-1, bidx, (int)tribeGroupB[s][from].size()-1, 1, q));
        else qvec[s][1].push_back(Query(aidx-1, 0, bidx-1, -1, q));
    }
}

void solve(){
    for(int i=1; i<=q; i++){
        addAns(qx[i], qy[i], i);
        addAns(qy[i], qx[i], i);
        if(tribeCnt[qx[i]] < tribeCnt[qy[i]]) addQuery1(qx[i], qy[i], 0, i), addQuery1(qx[i], qy[i], 1, i);
        else addQuery2(qx[i], qy[i], 0, i), addQuery2(qx[i], qy[i], 1, i);
    }

    for(int i=1; i<=m; i++){
        for(int type=0; type<2; type++){
            int pnt;

            /// A
            pnt = 0;
            fenwick.init(tribeGroupB[i][type].size());
            for(int j=-1; j<(int)tribeGroupA[i][type].size(); j++){
                if(j>=0) fenwick.add(idxB[tribeGroupA[i][type][j]]+1, 1);
                while(pnt < (int)qvec[i][type].size() && qvec[i][type][pnt].x == j){
                    Query p = qvec[i][type][pnt++];
                    ll val = fenwick.sum(p.yl+1, p.yr+1);
                    ans[p.q] += p.v==1 ? val : (p.yr - p.yl + 1) - val;
                }
            }
        }
    }
}

void output(){
    for(int i=1; i<=q; i++){
        printf("%d\n", ans[i]);
    }
}

Compilation message

dragon2.cpp: In function 'void input()':
dragon2.cpp:57:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   57 |     scanf("%d %d", &n, &m);
      |     ~~~~~^~~~~~~~~~~~~~~~~
dragon2.cpp:59:14: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   59 |         scanf("%lld %lld %d", &point[i].x, &point[i].y, &tribe[i]);
      |         ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
dragon2.cpp:62:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   62 |     scanf("%lld %lld %lld %lld", &la.x, &la.y, &lb.x, &lb.y);
      |     ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
dragon2.cpp:63:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   63 |     scanf("%d", &q);
      |     ~~~~~^~~~~~~~~~
dragon2.cpp:65:14: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   65 |         scanf("%d %d", &qx[i], &qy[i]);
      |         ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 4 ms 5640 KB Output is correct
2 Incorrect 6 ms 5972 KB Output isn't correct
3 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Execution timed out 4054 ms 6240 KB Time limit exceeded
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 4 ms 5640 KB Output is correct
2 Incorrect 6 ms 5972 KB Output isn't correct
3 Halted 0 ms 0 KB -