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답안 #595064

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
595064 2022-07-13T10:19:42 Z lohacho Dragon 2 (JOI17_dragon2) C++14
60 / 100
 4000 ms 49088 KB 
#include <bits/stdc++.h>
using namespace std;

const int NS = 120004, QS = (int)1e5 + 4;
int n, m, q, B;
pair<int, int> a[NS];
int col[NS];
vector<int> gr[NS];
int ind[NS][2];
pair<int, int> range[NS][2];
pair<int, int> p[2];
int ans[QS];

struct Data{
    int l, r, sum, lazy;
    Data(){}
};
int tN, st[NS];
Data tr[NS * 100];

void push(int x, int l, int r, int pl, int pr, int val){
    if(pl <= l && pr >= r){
        tr[x].sum += val;
        tr[x].lazy += val;
        return;
    }
    if(tr[x].lazy){
        ++tN; tr[tN] = tr[tr[x].l];
        tr[tN].sum += tr[x].lazy, tr[tN].lazy += tr[x].lazy;
        ++tN; tr[tN] = tr[tr[x].r];
        tr[tN].sum += tr[x].lazy, tr[tN].lazy += tr[x].lazy;
        tr[x].l = tN - 1, tr[x].r = tN;
        tr[x].lazy = 0;
    }
    int m = l + r >> 1;
    if(!(pr < l || pl > m)){
        ++tN, tr[tN] = tr[tr[x].l], tr[x].l = tN;
        push(tr[x].l, l, m, pl, pr, val);
    }
    if(!(pr <= m || pl > r)){
        ++tN, tr[tN] = tr[tr[x].r], tr[x].r = tN;
        push(tr[x].r, m + 1, r, pl, pr, val);
    }
    tr[x].sum = tr[tr[x].l].sum + tr[tr[x].r].sum;
}

int get(int pre, int x, int l, int r, int fl, int fr){
    if(fl <= l && fr >= r) return tr[x].sum - tr[pre].sum;
    if(tr[x].lazy){
        ++tN; tr[tN] = tr[tr[x].l];
        tr[tN].sum += tr[x].lazy, tr[tN].lazy += tr[x].lazy;
        ++tN; tr[tN] = tr[tr[x].r];
        tr[tN].sum += tr[x].lazy, tr[tN].lazy += tr[x].lazy;
        tr[x].l = tN - 1, tr[x].r = tN;
        tr[x].lazy = 0;
    }
    if(tr[pre].lazy){
        ++tN; tr[tN] = tr[tr[pre].l];
        tr[tN].sum += tr[pre].lazy, tr[tN].lazy += tr[pre].lazy;
        ++tN; tr[tN] = tr[tr[pre].r];
        tr[tN].sum += tr[pre].lazy, tr[tN].lazy += tr[pre].lazy;
        tr[pre].l = tN - 1, tr[pre].r = tN;
        tr[pre].lazy = 0;
    }
    int m = l + r >> 1;
    int rv = 0;
    if(!(fr < l || fl > m)){
        rv += get(tr[pre].l, tr[x].l, l, m, fl, fr);
    }
    if(!(fr <= m || fl > r)){
        rv += get(tr[pre].r, tr[x].r, m + 1, r, fl, fr);
    }
    return rv;
}

int ccw(pair<int, int> bs, pair<int, int> x, pair<int, int> y){
    x.first -= bs.first, x.second -= bs.second;
    y.first -= bs.first, y.second -= bs.second;
    long long val = (long long)x.first * y.second - (long long)x.second * y.first;
    return (val ? val > 0 ? 1 : -1 : 0);
}

signed main(){
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cin >> n >> m;
    for(int i = 0; i < n; ++i){
        cin >> a[i].first >> a[i].second >> col[i];
        --col[i];
        gr[col[i]].push_back(i);
    }
    cin >> p[0].first >> p[0].second >> p[1].first >> p[1].second;
    for(int k = 0; k < 2; ++k){
        vector<vector<int>> u, d;
        for(int j = 0; j < n; ++j){
            if(a[j].second > p[k].second || (a[j].second == p[k].second && a[j].first < p[k].first)){
                u.push_back({a[j].first, a[j].second, j});
            }
            else{
                d.push_back({a[j].first, a[j].second, j});
            }
        }
        auto comp = [&](vector<int>&x, vector<int>&y){return ccw(p[k], {x[0], x[1]}, {y[0], y[1]}) < 0;};
        sort(u.begin(), u.end(), comp), sort(d.begin(), d.end(), comp);
        for(auto&i:d){
            u.push_back(i);
        }
        int r = 0, ldir = 0;
        for(int l = 0; l < (int)u.size(); ++l){
            int dir = ((k == 0) ^ (ccw({u[l][0], u[l][1]}, p[0], p[1]) == -1));
            dir = (dir ? 1 : -1);
            if(ldir && dir != ldir){
                r = l;
            }
            ldir = dir;
            while(true){
                int ca = ccw(p[k], {u[l][0], u[l][1]}, {u[r][0], u[r][1]});
                int cb = ccw(p[k], {u[l][0], u[l][1]}, p[1 - k]);
                if(ca == cb || !ca || !cb) break;
                r = (r - dir + (int)u.size()) % (int)u.size();
            }
            while(true){
                int nr = (r + dir + (int)u.size()) % (int)u.size();
                int ca = ccw(p[k], {u[l][0], u[l][1]}, {u[nr][0], u[nr][1]});
                int cb = ccw(p[k], {u[l][0], u[l][1]}, p[1 - k]);
                if(ca != cb) break;
                r = nr;
            }
            ind[u[l][2]][k] = l;
            if(ccw(p[k], {u[l][0], u[l][1]}, {u[r][0], u[r][1]}) == -1){
                range[u[l][2]][k] = {l, r + (r < l ? n : 0)};
            }
            else{
                range[u[l][2]][k] = {r, l + (l < r ? n : 0)};
            }
        }
    }
    B = 150;
    vector<vector<int>> q1, q2, q3;
    cin >> q;
    for(int i = 0; i < q; ++i){
        int x, y; cin >> x >> y; --x, --y;
        if((int)gr[x].size() < B && (int)gr[y].size() < B){
            q1.push_back({x, y, i});
        }
        else if((int)gr[x].size() < B){
            q2.push_back({x, y, i});
        }
        else{
            q3.push_back({x, y, i});
        }
    }
    for(auto&rep:q1){
        int x = rep[0], y = rep[1], id = rep[2];
        int dap = 0;
        for(int i = 0; i < (int)gr[x].size(); ++i){
            for(int j = 0; j < (int)gr[y].size(); ++j){
                if(ind[gr[y][j]][0] >= range[gr[x][i]][0].first && ind[gr[y][j]][0] <= range[gr[x][i]][0].second){
                    if(ind[gr[y][j]][1] >= range[gr[x][i]][1].first && ind[gr[y][j]][1] <= range[gr[x][i]][1].second) ++dap;
                }
                if(ind[gr[y][j]][0] + n >= range[gr[x][i]][0].first && ind[gr[y][j]][0] + n <= range[gr[x][i]][0].second){
                    if(ind[gr[y][j]][1] >= range[gr[x][i]][1].first && ind[gr[y][j]][1] <= range[gr[x][i]][1].second) ++dap;
                }
                if(ind[gr[y][j]][0] >= range[gr[x][i]][0].first && ind[gr[y][j]][0] <= range[gr[x][i]][0].second){
                    if(ind[gr[y][j]][1] + n >= range[gr[x][i]][1].first && ind[gr[y][j]][1] + n <= range[gr[x][i]][1].second) ++dap;
                }
                if(ind[gr[y][j]][0] + n >= range[gr[x][i]][0].first && ind[gr[y][j]][0] + n <= range[gr[x][i]][0].second){
                    if(ind[gr[y][j]][1] + n >= range[gr[x][i]][1].first && ind[gr[y][j]][1] + n <= range[gr[x][i]][1].second) ++dap;
                }
            }
        }
        vector<pair<int, int>> srt;
        for(int j = 0; j < (int)gr[y].size(); ++j){
            srt.push_back({ind[gr[y][j]][0], ind[gr[y][j]][1]});
            srt.push_back({ind[gr[y][j]][0], ind[gr[y][j]][1] + n});
            srt.push_back({ind[gr[y][j]][0] + n, ind[gr[y][j]][1]});
            srt.push_back({ind[gr[y][j]][0] + n, ind[gr[y][j]][1] + n});
        }
        sort(srt.begin(), srt.end());
        tN = 0;
        for(int i = 0; i < (int)srt.size(); ++i){
            st[i] = ++tN; tr[tN] = tr[i ? st[i - 1] : 0];
            push(st[i], 0, 2 * n - 1, srt[i].second, srt[i].second, 1);
        }
        int nans = 0;
        for(int i = 0; i < (int)gr[x].size(); ++i){
            int p2 = lower_bound(srt.begin(), srt.end(), make_pair(range[gr[x][i]][0].second + 1, -(int)1e9)) - srt.begin() - 1;
            int p1 = lower_bound(srt.begin(), srt.end(), make_pair(range[gr[x][i]][0].first, -(int)1e9)) - srt.begin();
            nans += get(p1 > 0 ? st[p1 - 1] : 0, st[p2], 0, 2 * n - 1, range[gr[x][i]][1].first, range[gr[x][i]][1].second);
        }
        ans[id] = nans;
    }
    sort(q2.begin(), q2.end(), [&](vector<int>&x, vector<int>&y){return x[1] < y[1];});
    vector<pair<int, int>> srt;
    for(int i = 0; i < (int)q2.size(); ++i){
        int x = q2[i][0], y = q2[i][1], id = q2[i][2];
        if(!i || y != q2[i - 1][1]){
            srt.clear();
            for(int j = 0; j < (int)gr[y].size(); ++j){
                srt.push_back({ind[gr[y][j]][0], ind[gr[y][j]][1]});
                srt.push_back({ind[gr[y][j]][0], ind[gr[y][j]][1] + n});
                srt.push_back({ind[gr[y][j]][0] + n, ind[gr[y][j]][1]});
                srt.push_back({ind[gr[y][j]][0] + n, ind[gr[y][j]][1] + n});
            }
            sort(srt.begin(), srt.end());
            tN = 0;
            for(int k = 0; k < (int)srt.size(); ++k){
                st[k] = ++tN; tr[tN] = tr[k ? st[k - 1] : 0];
                push(st[k], 0, 2 * n - 1, srt[k].second, srt[k].second, 1);
            }
        }
        int nans = 0;
        for(int j = 0; j < (int)gr[x].size(); ++j){
            int p2 = lower_bound(srt.begin(), srt.end(), make_pair(range[gr[x][j]][0].second + 1, -(int)1e9)) - srt.begin() - 1;
            int p1 = lower_bound(srt.begin(), srt.end(), make_pair(range[gr[x][j]][0].first, -(int)1e9)) - srt.begin();
            nans += get(p1 > 0 ? st[p1 - 1] : 0, st[p2], 0, 2 * n - 1, range[gr[x][j]][1].first, range[gr[x][j]][1].second);
        }
        ans[id] = nans;
    }
    sort(q3.begin(), q3.end(), [&](vector<int>&x, vector<int>&y){return x[0] < y[0];});
    vector<vector<int>> srt2;
    for(int i = 0; i < (int)q3.size(); ++i){
        int x = q3[i][0], y = q3[i][1], id = q3[i][2];
        if(!i || x != q3[i - 1][0]){
            srt2.clear();
            for(int j = 0; j < (int)gr[x].size(); ++j){
                srt2.push_back({range[gr[x][j]][0].first, range[gr[x][j]][1].first, range[gr[x][j]][1].second, 1});
                srt2.push_back({range[gr[x][j]][0].second + 1, range[gr[x][j]][1].first, range[gr[x][j]][1].second, -1});
            }
            sort(srt2.begin(), srt2.end());
            tN = 0;
            for(int k = 0; k < (int)srt2.size(); ++k){
                st[k] = ++tN; tr[tN] = tr[k ? st[k - 1] : 0];
                push(st[k], 0, 2 * n - 1, srt2[k][1], srt2[k][2], srt2[k][3]);
            }
        }
        int nans = 0;
        for(int j = 0; j < (int)gr[y].size(); ++j){
            int fx = ind[gr[y][j]][0], fy = ind[gr[y][j]][1];
            int p2 = lower_bound(srt2.begin(), srt2.end(), vector<int>{fx + 1, -(int)1e9, 0, 0}) - srt2.begin() - 1;
            nans += get(0, st[p2], 0, 2 * n - 1, fy, fy);

            fy += n;
            p2 = lower_bound(srt2.begin(), srt2.end(), vector<int>{fx + 1, -(int)1e9, 0, 0}) - srt2.begin() - 1;
            nans += get(0, st[p2], 0, 2 * n - 1, fy, fy);

            fx += n;
            p2 = lower_bound(srt2.begin(), srt2.end(), vector<int>{fx + 1, -(int)1e9, 0, 0}) - srt2.begin() - 1;
            nans += get(0, st[p2], 0, 2 * n - 1, fy, fy);

            fy -= n;
            p2 = lower_bound(srt2.begin(), srt2.end(), vector<int>{fx + 1, -(int)1e9, 0, 0}) - srt2.begin() - 1;
            nans += get(0, st[p2], 0, 2 * n - 1, fy, fy);
        }
        ans[id] = nans;
    }
    for(int i = 0; i < q; ++i){
        cout << ans[i] << '\n';
    }
    return 0;
}

Compilation message

dragon2.cpp: In function 'void push(int, int, int, int, int, int)':
dragon2.cpp:35:15: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   35 |     int m = l + r >> 1;
      |             ~~^~~
dragon2.cpp: In function 'int get(int, int, int, int, int, int)':
dragon2.cpp:65:15: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   65 |     int m = l + r >> 1;
      |             ~~^~~

Subtask #1
15.0 / 15.0

# 결과 실행 시간 메모리 Grader output
1 Correct 8 ms 6520 KB Output is correct
2 Correct 18 ms 4556 KB Output is correct
3 Correct 150 ms 3820 KB Output is correct
4 Correct 322 ms 9592 KB Output is correct
5 Correct 128 ms 9520 KB Output is correct
6 Correct 7 ms 3676 KB Output is correct
7 Correct 6 ms 3672 KB Output is correct
8 Correct 7 ms 5592 KB Output is correct
9 Correct 7 ms 4572 KB Output is correct
10 Correct 6 ms 4444 KB Output is correct

Subtask #2
45.0 / 45.0

# 결과 실행 시간 메모리 Grader output
1 Correct 95 ms 42568 KB Output is correct
2 Correct 293 ms 18440 KB Output is correct
3 Correct 90 ms 7108 KB Output is correct
4 Correct 34 ms 7088 KB Output is correct
5 Correct 30 ms 7948 KB Output is correct
6 Correct 60 ms 18580 KB Output is correct
7 Correct 67 ms 19248 KB Output is correct
8 Correct 76 ms 28496 KB Output is correct
9 Correct 45 ms 18832 KB Output is correct
10 Correct 43 ms 18516 KB Output is correct

Subtask #3
0 / 40.0

# 결과 실행 시간 메모리 Grader output
1 Correct 8 ms 6520 KB Output is correct
2 Correct 18 ms 4556 KB Output is correct
3 Correct 150 ms 3820 KB Output is correct
4 Correct 322 ms 9592 KB Output is correct
5 Correct 128 ms 9520 KB Output is correct
6 Correct 7 ms 3676 KB Output is correct
7 Correct 6 ms 3672 KB Output is correct
8 Correct 7 ms 5592 KB Output is correct
9 Correct 7 ms 4572 KB Output is correct
10 Correct 6 ms 4444 KB Output is correct
11 Correct 95 ms 42568 KB Output is correct
12 Correct 293 ms 18440 KB Output is correct
13 Correct 90 ms 7108 KB Output is correct
14 Correct 34 ms 7088 KB Output is correct
15 Correct 30 ms 7948 KB Output is correct
16 Correct 60 ms 18580 KB Output is correct
17 Correct 67 ms 19248 KB Output is correct
18 Correct 76 ms 28496 KB Output is correct
19 Correct 45 ms 18832 KB Output is correct
20 Correct 43 ms 18516 KB Output is correct
21 Correct 104 ms 42608 KB Output is correct
22 Correct 271 ms 18472 KB Output is correct
23 Correct 1371 ms 13216 KB Output is correct
24 Correct 3694 ms 11016 KB Output is correct
25 Correct 413 ms 10828 KB Output is correct
26 Correct 179 ms 11152 KB Output is correct
27 Correct 44 ms 7436 KB Output is correct
28 Correct 47 ms 7340 KB Output is correct
29 Correct 203 ms 48576 KB Output is correct
30 Correct 159 ms 41520 KB Output is correct
31 Correct 179 ms 49088 KB Output is correct
32 Correct 2082 ms 12448 KB Output is correct
33 Execution timed out 4016 ms 12308 KB Time limit exceeded
34 Halted 0 ms 0 KB -