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Submission #218797

# Submission time Handle Problem Language Result Execution time Memory
218797 2020-04-02T18:22:44 Z Vimmer Matching (COCI20_matching) C++14
58 / 110
 1917 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]});

        mk[a[i][0]] = 1;
    }
}

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)) add_del(i, a[i][0]);
    }

    for (int i = 0; i < n; i++) if (a[i][0] == -1 || a[i][1] == -1) adder(i);

    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 52 ms 85624 KB Output is correct
2 Correct 55 ms 85628 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 52 ms 85624 KB Output is correct
2 Correct 55 ms 85628 KB Output is correct
3 Correct 58 ms 85624 KB Output is correct
4 Correct 54 ms 85752 KB Output is correct
5 Correct 53 ms 85624 KB Output is correct
6 Correct 54 ms 85624 KB Output is correct
7 Correct 53 ms 85624 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 52 ms 85624 KB Output is correct
2 Correct 55 ms 85628 KB Output is correct
3 Correct 58 ms 85624 KB Output is correct
4 Correct 54 ms 85752 KB Output is correct
5 Correct 53 ms 85624 KB Output is correct
6 Correct 54 ms 85624 KB Output is correct
7 Correct 53 ms 85624 KB Output is correct
8 Correct 53 ms 85624 KB Output is correct
9 Correct 56 ms 85760 KB Output is correct
10 Correct 54 ms 85760 KB Output is correct
11 Correct 54 ms 85624 KB Output is correct
12 Correct 54 ms 85632 KB Output is correct

Subtask #4
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 52 ms 85624 KB Output is correct
2 Correct 55 ms 85628 KB Output is correct
3 Correct 58 ms 85624 KB Output is correct
4 Correct 54 ms 85752 KB Output is correct
5 Correct 53 ms 85624 KB Output is correct
6 Correct 54 ms 85624 KB Output is correct
7 Correct 53 ms 85624 KB Output is correct
8 Correct 53 ms 85624 KB Output is correct
9 Correct 56 ms 85760 KB Output is correct
10 Correct 54 ms 85760 KB Output is correct
11 Correct 54 ms 85624 KB Output is correct
12 Correct 54 ms 85632 KB Output is correct
13 Correct 60 ms 86008 KB Output is correct
14 Correct 58 ms 86136 KB Output is correct
15 Correct 59 ms 86136 KB Output is correct
16 Correct 63 ms 86136 KB Output is correct
17 Correct 59 ms 86392 KB Output is correct
18 Correct 57 ms 86008 KB Output is correct
19 Correct 62 ms 85880 KB Output is correct
20 Correct 58 ms 85880 KB Output is correct
21 Correct 62 ms 86008 KB Output is correct
22 Correct 55 ms 85880 KB Output is correct
23 Correct 56 ms 85880 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 52 ms 85624 KB Output is correct
2 Correct 55 ms 85628 KB Output is correct
3 Correct 58 ms 85624 KB Output is correct
4 Correct 54 ms 85752 KB Output is correct
5 Correct 53 ms 85624 KB Output is correct
6 Correct 54 ms 85624 KB Output is correct
7 Correct 53 ms 85624 KB Output is correct
8 Correct 53 ms 85624 KB Output is correct
9 Correct 56 ms 85760 KB Output is correct
10 Correct 54 ms 85760 KB Output is correct
11 Correct 54 ms 85624 KB Output is correct
12 Correct 54 ms 85632 KB Output is correct
13 Correct 60 ms 86008 KB Output is correct
14 Correct 58 ms 86136 KB Output is correct
15 Correct 59 ms 86136 KB Output is correct
16 Correct 63 ms 86136 KB Output is correct
17 Correct 59 ms 86392 KB Output is correct
18 Correct 57 ms 86008 KB Output is correct
19 Correct 62 ms 85880 KB Output is correct
20 Correct 58 ms 85880 KB Output is correct
21 Correct 62 ms 86008 KB Output is correct
22 Correct 55 ms 85880 KB Output is correct
23 Correct 56 ms 85880 KB Output is correct
24 Correct 87 ms 94456 KB Output is correct
25 Correct 439 ms 135776 KB Output is correct
26 Correct 590 ms 164720 KB Output is correct
27 Correct 368 ms 121712 KB Output is correct
28 Correct 446 ms 135920 KB Output is correct
29 Correct 255 ms 119672 KB Output is correct
30 Correct 336 ms 133880 KB Output is correct
31 Correct 258 ms 120312 KB Output is correct
32 Correct 384 ms 141472 KB Output is correct
33 Correct 116 ms 91640 KB Output is correct
34 Correct 120 ms 91768 KB Output is correct
35 Correct 99 ms 90488 KB Output is correct
36 Correct 228 ms 97648 KB Output is correct
37 Correct 195 ms 93428 KB Output is correct
38 Runtime error 1917 ms 524292 KB Execution killed with signal 9 (could be triggered by violating memory limits)