oj.uz

Submission #218773

# Submission time Handle Problem Language Result Execution time Memory
218773 2020-04-02T17:38:18 Z Vimmer Matching (COCI20_matching) C++14
58 / 110
 1567 ms 524292 KB 
#include <bits/stdc++.h>

//#pragma GCC optimize("unroll-loops")
//#pragma GCC optimize("-O3")
//#pragma GCC optimize("Ofast")
//#pragma GCC optimize("fast-math")
//#pragma GCC optimize("no-stack-protector")

#define F first
#define S second
#define sz(x) int(x.size())
#define pb push_back
#define N 100001

using namespace std;

int x[N], y[N], a[N][2], n, xr[N], yr[N];

set <int> tx[N * 4], ty[N * 4], alone;

set <pair <int, int> > tx_del[N * 4], ty_del[N * 4];

vector <int > pshx[N * 4], pshy[N * 4];

vector <pair <int, int> > psh_delx[N * 4], psh_dely[N * 4];

bool mk[N];

vector <pair <int, int> > g, gr;

void Pushx(int v, int tl, int tr)
{
    while (sz(pshx[v]) > 0)
    {
        int val = pshx[v].back();

        pshx[v].pop_back();

        tx[v].insert(val);

        if (tl != tr) {pshx[v + v].pb(val); pshx[v + v + 1].pb(val);}
    }
}
void Pushy(int v, int tl, int tr)
{
    while (sz(pshy[v]) > 0)
    {
        int val = pshy[v].back();

        pshy[v].pop_back();

        ty[v].insert(val);

        if (tl != tr) {pshy[v + v].pb(val); pshy[v + v + 1].pb(val);}
    }

}

void upd(int v, int tl, int tr, int l, int r, int val, bool f)
{
    if (r < tl || tr < l) return;

    if (l <= tl && tr <= r) {if (!f) pshx[v].pb(val); else pshy[v].pb(val); return;}

    int md = (tl + tr) >> 1;

    upd(v + v, tl, md, l, r, val, f);

    upd(v + v + 1, md + 1, tr, l, r, val, f);
}

void Push_delx(int v, int tl, int tr)
{
    while (sz(psh_delx[v]) > 0)
    {
        pair <int, int>  pt = psh_delx[v].back();

        psh_delx[v].pop_back();

        tx_del[v].insert(pt);

        if (tl != tr) {psh_delx[v + v].pb(pt); psh_delx[v + v + 1].pb(pt); }
    }
}

void Push_dely(int v, int tl, int tr)
{
    while (sz(psh_dely[v]) > 0)
    {
        pair <int, int>  pt = psh_dely[v].back();

        psh_dely[v].pop_back();

        ty_del[v].insert(pt);

        if (tl != tr) {psh_dely[v + v].pb(pt); psh_dely[v + v + 1].pb(pt); }
    }
}

void upd_del(int v, int tl, int tr, int l, int r, pair <int, int> val, bool f)
{
    if (tl > tr || l > r || r < tl || tr < l) return;

    if (l <= tl && tr <= r) {if (!f) psh_delx[v].pb(val); else psh_dely[v].pb(val); return;}

    int md = (tl + tr) >> 1;

    upd_del(v + v, tl, md, l, r, val, f);

    upd_del(v + v + 1, md + 1, tr, l, r, val, f);
}

bool good(int v, int tl, int tr, int pos, int l, int r, bool f)
{
    if (f) Pushy(v, tl, tr); else Pushx(v, tl, tr);

    if (tl == tr)
    {
        set <int> :: iterator it;

        if (f)
        {
            it = ty[v].lower_bound(l);

            return (it == ty[v].end() ? 1 : *it > r);
        }
        else
        {
            it = tx[v].lower_bound(l);

            return (it == tx[v].end() ? 1 : *it > r);
        }
    }
    else
    {
        int md = (tl + tr) >> 1;

        if (pos <= md) return good(v + v, tl, md, pos, l, r, f);

        return good(v + v + 1, md + 1, tr, pos, l, r, f);
    }
}

void add_remove(int fr, int sc, int nm)
{
    if (!mk[fr]) alone.insert(fr);

    if (!mk[sc]) alone.insert(sc);
}

void good_del(int v, int tl, int tr, int pos, int l, int r, bool f)
{
    if (f) Push_dely(v, tl, tr); else Push_delx(v, tl, tr);

    if (tl == tr)
    {
        set <pair <int, int> > :: iterator it;

        if (f)
        {
            it = ty_del[v].lower_bound({l, -1e9});

            while (it != ty_del[v].end() && (*it).F <= r) {add_remove(gr[(*it).S].F, gr[(*it).S].S, (*it).S); it++;}
        }
        else
        {
            it = tx_del[v].lower_bound({l, -1e9});

            while (it != tx_del[v].end() && (*it).F <= r) {add_remove(gr[(*it).S].F, gr[(*it).S].S, (*it).S); it++;}
        }
    }
    else
    {
        int md = (tl + tr) >> 1;

        if (pos <= md) good_del(v + v, tl, md, pos, l, r, f);
          else  good_del(v + v + 1, md + 1, tr, pos, l, r, f);
    }
}

bool gd(int fr, int sc)
{
    if (x[fr] == x[sc])
    {
        if (y[fr] > y[sc]) swap(fr, sc);

        return good(1, 1, N - 1, x[fr], y[fr], y[sc], 0);
    }
    else
    {
        if (x[fr] > x[sc]) swap(fr, sc);

        return good(1, 1, N - 1, y[fr], x[fr], x[sc], 1);
    }
}

void seacrh(int fr, int sc)
{
    if (x[fr] == x[sc])
    {
        if (y[fr] > y[sc]) swap(fr, sc);

        good_del(1, 1, N, x[fr], y[fr], y[sc], 0);
    }
    else
    {
        if (x[fr] > x[sc]) swap(fr, sc);

        good_del(1, 1, N, y[fr], x[fr], x[sc], 1);
    }
}

void add(int fr, int sc)
{
    if (x[fr] == x[sc])
    {
        g.pb({fr, sc});

        if (y[fr] > y[sc]) swap(fr, sc);

        upd(1, 1, N - 1, y[fr], y[sc], x[fr], 1);

        seacrh(fr, sc);
    }
    else
    {
        g.pb({fr, sc});

        if (x[fr] > x[sc]) swap(fr, sc);

        upd(1, 1, N - 1, x[fr], x[sc], y[fr], 0);

        seacrh(fr, sc);
    }
}

void clr(int x)
{
    mk[x] = 1;

    if (a[x][1] != -1) {if (!mk[a[x][1]])  alone.insert(a[x][1]); a[x][1] = a[a[x][1]][1] = -1;}

    if (a[x][0] != -1) {if (!mk[a[x][0]])  alone.insert(a[x][0]); a[x][0] = a[a[x][0]][0] = -1;}
}


void fnd()
{
    while (sz(alone) > 0)
    {
        int v = *alone.begin();

        alone.erase(alone.begin());

        if (mk[v]) continue;

        if (a[v][1] != -1 && gd(v, a[v][1])) {add(v, a[v][1]); clr(a[v][1]); clr(v); continue;}

        if (a[v][0] != -1 && gd(v, a[v][0])) {add(v, a[v][0]); clr(a[v][0]); clr(v); continue;}

        cout << "NE" << endl;

        exit(0);
    }

    for (int i = 0; i < n; i++)
    {
        if (mk[i]) continue;

        g.pb({i, a[i][0]});

        clr(a[i][0]);

        clr(i);
    }
}

void add_del(int fr, int sc)
{
    if (x[fr] == x[sc])
    {
        if (y[fr] > y[sc]) swap(fr, sc);

        upd_del(1, 1, N, y[fr], y[sc], {x[fr], sz(gr) }, 1);

        gr.pb({fr, sc});
    }
    else
    {
        if (x[fr] > x[sc]) swap(fr, sc);

        upd_del(1, 1, N, x[fr], x[sc], {y[fr], sz(gr) }, 0);

        gr.pb({fr, sc});
    }
}
int main()
{
    ios_base::sync_with_stdio(0); istream::sync_with_stdio(0); cin.tie(0); cout.tie(0);

    cin >> n;

    for (int i = 1; i < N; i++) xr[i] = yr[i] = -1;

    for (int i = 0; i < n; i++) {cin >> x[i] >> y[i]; a[i][0] = a[i][1] = -1;}

    for (int i = 0; i < n; i++)
        {
            int X = x[i], Y = y[i];

            if (xr[X] == -1) xr[X] = i; else {a[i][0] = xr[X]; a[xr[X]][0] = i;}

            if (yr[Y] == -1) yr[Y] = i; else {a[i][1] = yr[Y]; a[yr[Y]][1] = i;}
        }

    for (int i = 0; i < n; i++)
    {
        if (a[i][0] == a[i][1] && a[i][1] == -1) {cout << "NE" << endl; exit(0);}

        if (a[i][0] == -1 || a[i][1] == -1) alone.insert(i); else {add_del(i, a[i][0]); add_del(i, a[i][1]);}
    }

    fnd();

    if (sz(g) != n / 2) {cout << "NE" << endl; exit(0);}

    cout << "DA" << endl;

    for (auto it : g) cout << it.F + 1 << " " << it.S + 1 << endl;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 72 ms 113888 KB Output is correct
2 Correct 73 ms 113784 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 72 ms 113888 KB Output is correct
2 Correct 73 ms 113784 KB Output is correct
3 Correct 75 ms 113784 KB Output is correct
4 Correct 74 ms 113872 KB Output is correct
5 Correct 78 ms 113788 KB Output is correct
6 Correct 78 ms 113912 KB Output is correct
7 Correct 72 ms 113912 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 72 ms 113888 KB Output is correct
2 Correct 73 ms 113784 KB Output is correct
3 Correct 75 ms 113784 KB Output is correct
4 Correct 74 ms 113872 KB Output is correct
5 Correct 78 ms 113788 KB Output is correct
6 Correct 78 ms 113912 KB Output is correct
7 Correct 72 ms 113912 KB Output is correct
8 Correct 73 ms 113912 KB Output is correct
9 Correct 79 ms 113912 KB Output is correct
10 Correct 75 ms 113912 KB Output is correct
11 Correct 73 ms 113912 KB Output is correct
12 Correct 74 ms 113912 KB Output is correct

Subtask #4
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 72 ms 113888 KB Output is correct
2 Correct 73 ms 113784 KB Output is correct
3 Correct 75 ms 113784 KB Output is correct
4 Correct 74 ms 113872 KB Output is correct
5 Correct 78 ms 113788 KB Output is correct
6 Correct 78 ms 113912 KB Output is correct
7 Correct 72 ms 113912 KB Output is correct
8 Correct 73 ms 113912 KB Output is correct
9 Correct 79 ms 113912 KB Output is correct
10 Correct 75 ms 113912 KB Output is correct
11 Correct 73 ms 113912 KB Output is correct
12 Correct 74 ms 113912 KB Output is correct
13 Correct 84 ms 114796 KB Output is correct
14 Correct 85 ms 115040 KB Output is correct
15 Correct 84 ms 115064 KB Output is correct
16 Correct 82 ms 115240 KB Output is correct
17 Correct 84 ms 115576 KB Output is correct
18 Correct 84 ms 114884 KB Output is correct
19 Correct 79 ms 114936 KB Output is correct
20 Correct 82 ms 114656 KB Output is correct
21 Correct 76 ms 114424 KB Output is correct
22 Correct 77 ms 114424 KB Output is correct
23 Correct 153 ms 134904 KB Output is correct
24 Correct 145 ms 133880 KB Output is correct

Subtask #5
0 / 52.0

# Verdict Execution time Memory Grader output
1 Correct 72 ms 113888 KB Output is correct
2 Correct 73 ms 113784 KB Output is correct
3 Correct 75 ms 113784 KB Output is correct
4 Correct 74 ms 113872 KB Output is correct
5 Correct 78 ms 113788 KB Output is correct
6 Correct 78 ms 113912 KB Output is correct
7 Correct 72 ms 113912 KB Output is correct
8 Correct 73 ms 113912 KB Output is correct
9 Correct 79 ms 113912 KB Output is correct
10 Correct 75 ms 113912 KB Output is correct
11 Correct 73 ms 113912 KB Output is correct
12 Correct 74 ms 113912 KB Output is correct
13 Correct 84 ms 114796 KB Output is correct
14 Correct 85 ms 115040 KB Output is correct
15 Correct 84 ms 115064 KB Output is correct
16 Correct 82 ms 115240 KB Output is correct
17 Correct 84 ms 115576 KB Output is correct
18 Correct 84 ms 114884 KB Output is correct
19 Correct 79 ms 114936 KB Output is correct
20 Correct 82 ms 114656 KB Output is correct
21 Correct 76 ms 114424 KB Output is correct
22 Correct 77 ms 114424 KB Output is correct
23 Correct 153 ms 134904 KB Output is correct
24 Correct 145 ms 133880 KB Output is correct
25 Correct 1104 ms 277380 KB Output is correct
26 Correct 1461 ms 365668 KB Output is correct
27 Correct 970 ms 250596 KB Output is correct
28 Correct 1090 ms 278316 KB Output is correct
29 Correct 714 ms 217572 KB Output is correct
30 Correct 689 ms 213092 KB Output is correct
31 Correct 1137 ms 310632 KB Output is correct
32 Correct 902 ms 259300 KB Output is correct
33 Correct 391 ms 144744 KB Output is correct
34 Correct 401 ms 149488 KB Output is correct
35 Correct 187 ms 122860 KB Output is correct
36 Correct 553 ms 151272 KB Output is correct
37 Runtime error 1567 ms 524292 KB Execution killed with signal 9 (could be triggered by violating memory limits)
38 Halted 0 ms 0 KB -