oj.uz

답안 #218723

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
218723 2020-04-02T15:09:21 Z Vimmer Matching (COCI20_matching) C++14
58 / 110
 2500 ms 469764 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;

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], delet;

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 <int> alone;

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);
    }
}

void 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});

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

            while (it != tx_del[v].end() && (*it).F <= r) {delet.pb((*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 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);

        delet.clear();

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

        for (auto pt : delet) add_remove(gr[pt].F, gr[pt].S, pt);
    }
    else
    {
        if (x[fr] > x[sc]) swap(fr, sc);

        delet.clear();

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

        for (auto pt : delet) add_remove(gr[pt].F, gr[pt].S, pt);
    }
}

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])) {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 (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);}

        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]);}
    }

    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

# 결과 실행 시간 메모리 Grader output
1 Correct 84 ms 132728 KB Output is correct
2 Correct 82 ms 132984 KB Output is correct

Subtask #2
6.0 / 6.0

# 결과 실행 시간 메모리 Grader output
1 Correct 84 ms 132728 KB Output is correct
2 Correct 82 ms 132984 KB Output is correct
3 Correct 83 ms 132728 KB Output is correct
4 Correct 82 ms 132728 KB Output is correct
5 Correct 80 ms 132728 KB Output is correct
6 Correct 80 ms 132728 KB Output is correct
7 Correct 82 ms 132728 KB Output is correct

Subtask #3
7.0 / 7.0

# 결과 실행 시간 메모리 Grader output
1 Correct 84 ms 132728 KB Output is correct
2 Correct 82 ms 132984 KB Output is correct
3 Correct 83 ms 132728 KB Output is correct
4 Correct 82 ms 132728 KB Output is correct
5 Correct 80 ms 132728 KB Output is correct
6 Correct 80 ms 132728 KB Output is correct
7 Correct 82 ms 132728 KB Output is correct
8 Correct 82 ms 133112 KB Output is correct
9 Correct 83 ms 132856 KB Output is correct
10 Correct 80 ms 132856 KB Output is correct
11 Correct 84 ms 132984 KB Output is correct
12 Correct 80 ms 132984 KB Output is correct

Subtask #4
40.0 / 40.0

# 결과 실행 시간 메모리 Grader output
1 Correct 84 ms 132728 KB Output is correct
2 Correct 82 ms 132984 KB Output is correct
3 Correct 83 ms 132728 KB Output is correct
4 Correct 82 ms 132728 KB Output is correct
5 Correct 80 ms 132728 KB Output is correct
6 Correct 80 ms 132728 KB Output is correct
7 Correct 82 ms 132728 KB Output is correct
8 Correct 82 ms 133112 KB Output is correct
9 Correct 83 ms 132856 KB Output is correct
10 Correct 80 ms 132856 KB Output is correct
11 Correct 84 ms 132984 KB Output is correct
12 Correct 80 ms 132984 KB Output is correct
13 Correct 116 ms 139640 KB Output is correct
14 Correct 120 ms 140044 KB Output is correct
15 Correct 120 ms 139768 KB Output is correct
16 Correct 119 ms 140024 KB Output is correct
17 Correct 123 ms 140152 KB Output is correct
18 Correct 115 ms 139640 KB Output is correct
19 Correct 117 ms 139896 KB Output is correct
20 Correct 118 ms 139512 KB Output is correct
21 Correct 111 ms 139384 KB Output is correct
22 Correct 114 ms 139512 KB Output is correct
23 Correct 316 ms 179704 KB Output is correct
24 Correct 292 ms 176504 KB Output is correct

Subtask #5
0 / 52.0

# 결과 실행 시간 메모리 Grader output
1 Correct 84 ms 132728 KB Output is correct
2 Correct 82 ms 132984 KB Output is correct
3 Correct 83 ms 132728 KB Output is correct
4 Correct 82 ms 132728 KB Output is correct
5 Correct 80 ms 132728 KB Output is correct
6 Correct 80 ms 132728 KB Output is correct
7 Correct 82 ms 132728 KB Output is correct
8 Correct 82 ms 133112 KB Output is correct
9 Correct 83 ms 132856 KB Output is correct
10 Correct 80 ms 132856 KB Output is correct
11 Correct 84 ms 132984 KB Output is correct
12 Correct 80 ms 132984 KB Output is correct
13 Correct 116 ms 139640 KB Output is correct
14 Correct 120 ms 140044 KB Output is correct
15 Correct 120 ms 139768 KB Output is correct
16 Correct 119 ms 140024 KB Output is correct
17 Correct 123 ms 140152 KB Output is correct
18 Correct 115 ms 139640 KB Output is correct
19 Correct 117 ms 139896 KB Output is correct
20 Correct 118 ms 139512 KB Output is correct
21 Correct 111 ms 139384 KB Output is correct
22 Correct 114 ms 139512 KB Output is correct
23 Correct 316 ms 179704 KB Output is correct
24 Correct 292 ms 176504 KB Output is correct
25 Correct 2497 ms 445872 KB Output is correct
26 Execution timed out 2609 ms 469764 KB Time limit exceeded
27 Halted 0 ms 0 KB -