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Submission #218791

# Submission time Handle Problem Language Result Execution time Memory
218791 2020-04-02T18:16:58 Z Vimmer Matching (COCI20_matching) C++14
58 / 110
 1957 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], b[N][2], n, xr[N], yr[N];

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

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

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

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

bool mk[N], mkr[N][2];

vector <pair <int, int> > g;

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_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)
{
    if (tl > tr || l > r || r < tl || tr < l) return;

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

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

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

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

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);
    }
}
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 add_remove(int fr, int sc, int nm)
{
    if (!mk[fr]) {if ((a[fr][1] == -1 || !gd(fr, a[fr][1])) && (a[fr][0] == -1 || !gd(fr, a[fr][0])) ){cout << "NE" << endl; exit(0);} alone.insert(fr);}

    if (!mk[sc]) {if ((a[sc][1] == -1 || !gd(sc, a[sc][1])) && (a[sc][0] == -1 || !gd(sc, a[sc][0])) ){cout << "NE" << endl; exit(0);} alone.insert(sc);}
}

void good_del(int v, int tl, int tr, int pos, int l, int r)
{
    Push_dely(v, tl, tr);

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

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

        while (it != ty_del[v].end() && (*it).F <= r) {add_remove(b[(*it).S][0], (*it).S, (*it).S); it++;}
    }
    else
    {
        int md = (tl + tr) >> 1;

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

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

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

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);
    }
    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 adder(int v)
{
    if (mk[v]) return;

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

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

    cout << "NE" << endl;

    exit(0);
}



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

        alone.erase(alone.begin());

        adder(v);
    }

    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 (mkr[fr][0]) return;

    mkr[fr][0] = 1;

    mkr[sc][0] = 1;

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

    upd_del(1, 1, N, y[fr], y[sc], {x[fr], fr });
}
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++)
    {
        b[i][0] = a[i][0];

        b[i][1] = a[i][1];

        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]);
    }

    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 53 ms 85760 KB Output is correct
2 Correct 61 ms 85692 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 53 ms 85760 KB Output is correct
2 Correct 61 ms 85692 KB Output is correct
3 Correct 53 ms 85624 KB Output is correct
4 Correct 55 ms 85752 KB Output is correct
5 Correct 53 ms 85624 KB Output is correct
6 Correct 56 ms 85624 KB Output is correct
7 Correct 54 ms 85752 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 53 ms 85760 KB Output is correct
2 Correct 61 ms 85692 KB Output is correct
3 Correct 53 ms 85624 KB Output is correct
4 Correct 55 ms 85752 KB Output is correct
5 Correct 53 ms 85624 KB Output is correct
6 Correct 56 ms 85624 KB Output is correct
7 Correct 54 ms 85752 KB Output is correct
8 Correct 54 ms 85632 KB Output is correct
9 Correct 54 ms 85752 KB Output is correct
10 Correct 55 ms 85624 KB Output is correct
11 Correct 53 ms 85752 KB Output is correct
12 Correct 63 ms 85756 KB Output is correct

Subtask #4
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 53 ms 85760 KB Output is correct
2 Correct 61 ms 85692 KB Output is correct
3 Correct 53 ms 85624 KB Output is correct
4 Correct 55 ms 85752 KB Output is correct
5 Correct 53 ms 85624 KB Output is correct
6 Correct 56 ms 85624 KB Output is correct
7 Correct 54 ms 85752 KB Output is correct
8 Correct 54 ms 85632 KB Output is correct
9 Correct 54 ms 85752 KB Output is correct
10 Correct 55 ms 85624 KB Output is correct
11 Correct 53 ms 85752 KB Output is correct
12 Correct 63 ms 85756 KB Output is correct
13 Correct 58 ms 86136 KB Output is correct
14 Correct 59 ms 86264 KB Output is correct
15 Correct 59 ms 86264 KB Output is correct
16 Correct 59 ms 86136 KB Output is correct
17 Correct 66 ms 86392 KB Output is correct
18 Correct 58 ms 86136 KB Output is correct
19 Correct 58 ms 86008 KB Output is correct
20 Correct 58 ms 86008 KB Output is correct
21 Correct 56 ms 85880 KB Output is correct
22 Correct 55 ms 85880 KB Output is correct
23 Correct 58 ms 86008 KB Output is correct
24 Correct 87 ms 94456 KB Output is correct

Subtask #5
0 / 52.0

# Verdict Execution time Memory Grader output
1 Correct 53 ms 85760 KB Output is correct
2 Correct 61 ms 85692 KB Output is correct
3 Correct 53 ms 85624 KB Output is correct
4 Correct 55 ms 85752 KB Output is correct
5 Correct 53 ms 85624 KB Output is correct
6 Correct 56 ms 85624 KB Output is correct
7 Correct 54 ms 85752 KB Output is correct
8 Correct 54 ms 85632 KB Output is correct
9 Correct 54 ms 85752 KB Output is correct
10 Correct 55 ms 85624 KB Output is correct
11 Correct 53 ms 85752 KB Output is correct
12 Correct 63 ms 85756 KB Output is correct
13 Correct 58 ms 86136 KB Output is correct
14 Correct 59 ms 86264 KB Output is correct
15 Correct 59 ms 86264 KB Output is correct
16 Correct 59 ms 86136 KB Output is correct
17 Correct 66 ms 86392 KB Output is correct
18 Correct 58 ms 86136 KB Output is correct
19 Correct 58 ms 86008 KB Output is correct
20 Correct 58 ms 86008 KB Output is correct
21 Correct 56 ms 85880 KB Output is correct
22 Correct 55 ms 85880 KB Output is correct
23 Correct 58 ms 86008 KB Output is correct
24 Correct 87 ms 94456 KB Output is correct
25 Correct 464 ms 138224 KB Output is correct
26 Correct 636 ms 166644 KB Output is correct
27 Correct 382 ms 124684 KB Output is correct
28 Correct 464 ms 138608 KB Output is correct
29 Correct 279 ms 119928 KB Output is correct
30 Correct 341 ms 134160 KB Output is correct
31 Correct 263 ms 120440 KB Output is correct
32 Correct 385 ms 141656 KB Output is correct
33 Correct 144 ms 98296 KB Output is correct
34 Correct 140 ms 97016 KB Output is correct
35 Correct 116 ms 90872 KB Output is correct
36 Correct 254 ms 100848 KB Output is correct
37 Correct 222 ms 96624 KB Output is correct
38 Runtime error 1957 ms 524292 KB Execution killed with signal 9 (could be triggered by violating memory limits)