Submission #595095

# Submission time Handle Problem Language Result Execution time Memory
595095 2022-07-13T11:08:27 Z lohacho Dragon 2 (JOI17_dragon2) C++14
60 / 100
4000 ms 49064 KB
#include <bits/stdc++.h>
using namespace std;

const int NS = 120004, QS = (int)1e5 + 4;
int n, m, q, B1, B2;
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)};
            }
        }
    }
    B1 = 400, B2 = 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() < B1 && (int)gr[y].size() < B2){
            q1.push_back({x, y, i});
        }
        else if((int)gr[x].size() < B1){
            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;
      |             ~~^~~
# Verdict Execution time Memory Grader output
1 Correct 9 ms 6520 KB Output is correct
2 Correct 10 ms 3856 KB Output is correct
3 Correct 162 ms 3808 KB Output is correct
4 Correct 306 ms 9768 KB Output is correct
5 Correct 121 ms 9768 KB Output is correct
6 Correct 5 ms 3664 KB Output is correct
7 Correct 6 ms 3680 KB Output is correct
8 Correct 7 ms 5596 KB Output is correct
9 Correct 6 ms 4584 KB Output is correct
10 Correct 6 ms 4568 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 106 ms 43048 KB Output is correct
2 Correct 273 ms 18688 KB Output is correct
3 Correct 57 ms 7484 KB Output is correct
4 Correct 31 ms 7356 KB Output is correct
5 Correct 30 ms 8252 KB Output is correct
6 Correct 59 ms 18708 KB Output is correct
7 Correct 79 ms 19436 KB Output is correct
8 Correct 75 ms 28792 KB Output is correct
9 Correct 47 ms 19032 KB Output is correct
10 Correct 45 ms 18780 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 9 ms 6520 KB Output is correct
2 Correct 10 ms 3856 KB Output is correct
3 Correct 162 ms 3808 KB Output is correct
4 Correct 306 ms 9768 KB Output is correct
5 Correct 121 ms 9768 KB Output is correct
6 Correct 5 ms 3664 KB Output is correct
7 Correct 6 ms 3680 KB Output is correct
8 Correct 7 ms 5596 KB Output is correct
9 Correct 6 ms 4584 KB Output is correct
10 Correct 6 ms 4568 KB Output is correct
11 Correct 106 ms 43048 KB Output is correct
12 Correct 273 ms 18688 KB Output is correct
13 Correct 57 ms 7484 KB Output is correct
14 Correct 31 ms 7356 KB Output is correct
15 Correct 30 ms 8252 KB Output is correct
16 Correct 59 ms 18708 KB Output is correct
17 Correct 79 ms 19436 KB Output is correct
18 Correct 75 ms 28792 KB Output is correct
19 Correct 47 ms 19032 KB Output is correct
20 Correct 45 ms 18780 KB Output is correct
21 Correct 93 ms 42864 KB Output is correct
22 Correct 376 ms 18704 KB Output is correct
23 Correct 600 ms 7440 KB Output is correct
24 Correct 3637 ms 11320 KB Output is correct
25 Correct 425 ms 11348 KB Output is correct
26 Correct 199 ms 11700 KB Output is correct
27 Correct 43 ms 7568 KB Output is correct
28 Correct 44 ms 7600 KB Output is correct
29 Correct 235 ms 49064 KB Output is correct
30 Correct 178 ms 40308 KB Output is correct
31 Correct 176 ms 48104 KB Output is correct
32 Correct 2143 ms 11328 KB Output is correct
33 Execution timed out 4037 ms 11176 KB Time limit exceeded
34 Halted 0 ms 0 KB -