oj.uz

Submission #218700

# Submission time Handle Problem Language Result Execution time Memory
218700 2020-04-02T14:27:24 Z Vimmer Matching (COCI20_matching) C++14
58 / 110
 2500 ms 468588 KB 
#include <bits/stdc++.h>

//#pragma GCC optimize("unroll-loops")
//#pragma GCC optimize("-O3")
//#pragma GCC optimize("Ofast")

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

using namespace std;

typedef long long ll;

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

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

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

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

vector <pair <int, int> > pshx_del[N * 4], pshy_del[N * 4], pshx_add[N * 4], pshy_add[N * 4];

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

queue <pair <int, int> > qr;

queue <int> alone, all;

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

void Push(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);}
    }

    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)
{
    Push(v, tl, tr);

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

    if (l <= tl && tr <= r) {if (!f) pshx[v].pb(val); else pshy[v].pb(val); Push(v, tl, tr); 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_del(int v, int tl, int tr)
{
    while (sz(pshx_add[v]) > 0)
    {
        pair <int, int>  pt = pshx_add[v].back();

        pshx_add[v].pop_back();

        tx_del[v].insert(pt);

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

    while (sz(pshy_add[v]) > 0)
    {
        pair <int, int> pt = pshy_add[v].back();

        pshy_add[v].pop_back();

        ty_del[v].insert(pt);

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

    while (sz(pshx_del[v]) > 0)
    {
        pair <int, int> pt = pshx_del[v].back();

        pshx_del[v].pop_back();

        tx_del[v].erase(pt);

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

    while (sz(pshy_del[v]) > 0)
    {
        pair <int, int> pt = pshy_del[v].back();

        pshy_del[v].pop_back();

        ty_del[v].erase(pt);

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

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

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

    if (l <= tl && tr <= r) {if (!f) pshx_add[v].pb(val); else pshy_add[v].pb(val); Push_del(v, tl, tr); 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);
}

void upd_remove(int v, int tl, int tr, int l, int r, pair <int, int> val, bool f)
{
    Push_del(v, tl, tr);

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

    if (l <= tl && tr <= r) {if (!f) pshx_del[v].pb(val); else pshy_del[v].pb(val); Push_del(v, tl, tr); return;}

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

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

    upd_remove(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)
{
    Push(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);
    }
}

int good_del(int v, int tl, int tr, int pos, int l, int r, bool f)
{
    Push_del(v, tl, tr);

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

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

            if (it == ty_del[v].end() || (*it).F > r) return -1;

            return (*it).S;
        }
        else
        {
            it = tx_del[v].lower_bound({l, -1e9});

            if (it == tx_del[v].end() || (*it).F > r) return -1;

            return (*it).S;
        }
    }
    else
    {
        int md = (tl + tr) >> 1;

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

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

    if (!mk[sc]) alone.push(sc);

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

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

        upd_remove(1, 1, N, x[fr], x[sc], {y[fr], nm }, 0);
    }
}

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

        int pt = good_del(1, 1, N, x[fr], y[fr], y[sc], 0);

        while (pt != -1)
        {
            add_remove(gr[pt].F, gr[pt].S, pt);

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

        int pt = good_del(1, 1, N, y[fr], x[fr], x[sc], 1);

        while (pt != -1)
        {
            add_remove(gr[pt].F, gr[pt].S, pt);

            pt = 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.push(a[x][1]); a[x][1] = a[a[x][1]][1] = -1;}

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


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

        alone.pop();

        if (mk[v]) continue;

        if (a[v][1] != -1 && gd(v, a[v][1])) {qr.push({a[v][1], v}); a[v][1] = a[a[v][1]][1] = -1; return;}

        if (a[v][0] != -1 && gd(v, a[v][0])) {qr.push({a[v][0], v}); a[v][0] = a[a[v][0]][0] = -1; return;}

        cout << "NE" << endl;

        exit(0);
    }

    while (sz(all) > 0)
    {
        int v = all.front();

        all.pop();

        if (mk[v]) continue;

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

        clr(a[v][0]);

        clr(v);
    }
}

void add_del(int fr, int sc)
{
    if (x[fr] == x[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], sz(gr) }, 1);

        gr.pb({fr, sc});
    }
    else
    {
        if (mkr[fr][1]) return;

        mkr[fr][1] = 1;

        mkr[sc][1] = 1;

        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);}

    for (int i = 0; i < n; i++) if (a[i][0] == -1 || a[i][1] == -1) alone.push(i); else {add_del(i, a[i][0]); add_del(i, a[i][1]); all.push(i);}

    fnd();

    while (sz(qr) > 0)
    {
        int fr = qr.front().F;

        int sc = qr.front().S;

        qr.pop();

        if (gd(fr, sc))
        {
            clr(fr);

            clr(sc);

            add(fr, sc);
        }

        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 82 ms 132728 KB Output is correct
2 Correct 88 ms 132920 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 82 ms 132728 KB Output is correct
2 Correct 88 ms 132920 KB Output is correct
3 Correct 80 ms 132728 KB Output is correct
4 Correct 81 ms 132728 KB Output is correct
5 Correct 82 ms 132728 KB Output is correct
6 Correct 87 ms 132728 KB Output is correct
7 Correct 83 ms 132728 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 82 ms 132728 KB Output is correct
2 Correct 88 ms 132920 KB Output is correct
3 Correct 80 ms 132728 KB Output is correct
4 Correct 81 ms 132728 KB Output is correct
5 Correct 82 ms 132728 KB Output is correct
6 Correct 87 ms 132728 KB Output is correct
7 Correct 83 ms 132728 KB Output is correct
8 Correct 85 ms 133112 KB Output is correct
9 Correct 83 ms 132860 KB Output is correct
10 Correct 83 ms 132856 KB Output is correct
11 Correct 81 ms 132856 KB Output is correct
12 Correct 82 ms 132984 KB Output is correct

Subtask #4
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 82 ms 132728 KB Output is correct
2 Correct 88 ms 132920 KB Output is correct
3 Correct 80 ms 132728 KB Output is correct
4 Correct 81 ms 132728 KB Output is correct
5 Correct 82 ms 132728 KB Output is correct
6 Correct 87 ms 132728 KB Output is correct
7 Correct 83 ms 132728 KB Output is correct
8 Correct 85 ms 133112 KB Output is correct
9 Correct 83 ms 132860 KB Output is correct
10 Correct 83 ms 132856 KB Output is correct
11 Correct 81 ms 132856 KB Output is correct
12 Correct 82 ms 132984 KB Output is correct
13 Correct 118 ms 139640 KB Output is correct
14 Correct 123 ms 140152 KB Output is correct
15 Correct 129 ms 139820 KB Output is correct
16 Correct 122 ms 139988 KB Output is correct
17 Correct 129 ms 140152 KB Output is correct
18 Correct 118 ms 139640 KB Output is correct
19 Correct 120 ms 139896 KB Output is correct
20 Correct 117 ms 139512 KB Output is correct
21 Correct 112 ms 139384 KB Output is correct
22 Correct 117 ms 139512 KB Output is correct
23 Correct 308 ms 179704 KB Output is correct
24 Correct 294 ms 176380 KB Output is correct

Subtask #5
0 / 52.0

# Verdict Execution time Memory Grader output
1 Correct 82 ms 132728 KB Output is correct
2 Correct 88 ms 132920 KB Output is correct
3 Correct 80 ms 132728 KB Output is correct
4 Correct 81 ms 132728 KB Output is correct
5 Correct 82 ms 132728 KB Output is correct
6 Correct 87 ms 132728 KB Output is correct
7 Correct 83 ms 132728 KB Output is correct
8 Correct 85 ms 133112 KB Output is correct
9 Correct 83 ms 132860 KB Output is correct
10 Correct 83 ms 132856 KB Output is correct
11 Correct 81 ms 132856 KB Output is correct
12 Correct 82 ms 132984 KB Output is correct
13 Correct 118 ms 139640 KB Output is correct
14 Correct 123 ms 140152 KB Output is correct
15 Correct 129 ms 139820 KB Output is correct
16 Correct 122 ms 139988 KB Output is correct
17 Correct 129 ms 140152 KB Output is correct
18 Correct 118 ms 139640 KB Output is correct
19 Correct 120 ms 139896 KB Output is correct
20 Correct 117 ms 139512 KB Output is correct
21 Correct 112 ms 139384 KB Output is correct
22 Correct 117 ms 139512 KB Output is correct
23 Correct 308 ms 179704 KB Output is correct
24 Correct 294 ms 176380 KB Output is correct
25 Correct 2497 ms 445396 KB Output is correct
26 Execution timed out 2629 ms 468588 KB Time limit exceeded
27 Halted 0 ms 0 KB -