oj.uz

Submission #218651

# Submission time Handle Problem Language Result Execution time Memory
218651 2020-04-02T12:54:55 Z Vimmer Matching (COCI20_matching) C++14
58 / 110
 2500 ms 69092 KB 
#include <bits/stdc++.h>
//#include <ext/pb_ds/assoc_container.hpp>
//#include <ext/pb_ds/tree_policy.hpp>

#define F first
#define S second
#define sz(x) int(x.size())
#define pb push_back
#define N 100005
#define M ll(998244353)

using namespace std;
//using namespace __gnu_pbds;

typedef long double ld;
typedef long long ll;
typedef short int si;

//typedef tree<int, null_type, less <int>, rb_tree_tag, tree_order_statistics_node_update> oredered_set;

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


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

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

bool mk[N];

queue <pair <int, int> > qr;

queue <int> alone, all;

vector <pair <int, int> > vert, gorz;

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);
}

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

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

        upd(1, 1, N - 1, y[fr], y[sc], x[fr], 1);
    }
    else
    {
        vert.pb({fr, sc});

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

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

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);
    }

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

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

        bool f0 = gd(i, a[i][0]);

        bool f1 = gd(i, a[i][1]);

        if (f0 && f1) continue;

        if (!f0 && !f1) {cout << "NE" << endl; exit(0);}

        if (f0)
        {
            qr.push({i, a[i][0]});

            a[i][0] = a[a[i][0]][0] = -1;

            return;
        }
        else
        {
            qr.push({i, a[i][1]});

            a[i][1] = a[a[i][1]][1] = -1;

            return;
        }
    }

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

        all.pop();

        if (mk[v]) continue;

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

        clr(a[v][0]);

        clr(v);
    }
}

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 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(vert) + sz(gorz) != n / 2) {cout << "NE" << endl; exit(0);}

    cout << "DA" << endl;

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

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

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 38 ms 57464 KB Output is correct
2 Correct 38 ms 57464 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 38 ms 57464 KB Output is correct
2 Correct 38 ms 57464 KB Output is correct
3 Correct 37 ms 57600 KB Output is correct
4 Correct 42 ms 57472 KB Output is correct
5 Correct 37 ms 57472 KB Output is correct
6 Correct 37 ms 57472 KB Output is correct
7 Correct 37 ms 57472 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 38 ms 57464 KB Output is correct
2 Correct 38 ms 57464 KB Output is correct
3 Correct 37 ms 57600 KB Output is correct
4 Correct 42 ms 57472 KB Output is correct
5 Correct 37 ms 57472 KB Output is correct
6 Correct 37 ms 57472 KB Output is correct
7 Correct 37 ms 57472 KB Output is correct
8 Correct 43 ms 57592 KB Output is correct
9 Correct 38 ms 57592 KB Output is correct
10 Correct 38 ms 57464 KB Output is correct
11 Correct 37 ms 57464 KB Output is correct
12 Correct 38 ms 57548 KB Output is correct

Subtask #4
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 38 ms 57464 KB Output is correct
2 Correct 38 ms 57464 KB Output is correct
3 Correct 37 ms 57600 KB Output is correct
4 Correct 42 ms 57472 KB Output is correct
5 Correct 37 ms 57472 KB Output is correct
6 Correct 37 ms 57472 KB Output is correct
7 Correct 37 ms 57472 KB Output is correct
8 Correct 43 ms 57592 KB Output is correct
9 Correct 38 ms 57592 KB Output is correct
10 Correct 38 ms 57464 KB Output is correct
11 Correct 37 ms 57464 KB Output is correct
12 Correct 38 ms 57548 KB Output is correct
13 Correct 58 ms 57984 KB Output is correct
14 Correct 69 ms 58232 KB Output is correct
15 Correct 66 ms 58236 KB Output is correct
16 Correct 81 ms 58616 KB Output is correct
17 Correct 84 ms 58620 KB Output is correct
18 Correct 59 ms 57976 KB Output is correct
19 Correct 68 ms 58104 KB Output is correct
20 Correct 54 ms 57848 KB Output is correct
21 Correct 39 ms 57592 KB Output is correct
22 Correct 38 ms 57600 KB Output is correct
23 Correct 148 ms 69092 KB Output is correct
24 Correct 135 ms 67448 KB Output is correct

Subtask #5
0 / 52.0

# Verdict Execution time Memory Grader output
1 Correct 38 ms 57464 KB Output is correct
2 Correct 38 ms 57464 KB Output is correct
3 Correct 37 ms 57600 KB Output is correct
4 Correct 42 ms 57472 KB Output is correct
5 Correct 37 ms 57472 KB Output is correct
6 Correct 37 ms 57472 KB Output is correct
7 Correct 37 ms 57472 KB Output is correct
8 Correct 43 ms 57592 KB Output is correct
9 Correct 38 ms 57592 KB Output is correct
10 Correct 38 ms 57464 KB Output is correct
11 Correct 37 ms 57464 KB Output is correct
12 Correct 38 ms 57548 KB Output is correct
13 Correct 58 ms 57984 KB Output is correct
14 Correct 69 ms 58232 KB Output is correct
15 Correct 66 ms 58236 KB Output is correct
16 Correct 81 ms 58616 KB Output is correct
17 Correct 84 ms 58620 KB Output is correct
18 Correct 59 ms 57976 KB Output is correct
19 Correct 68 ms 58104 KB Output is correct
20 Correct 54 ms 57848 KB Output is correct
21 Correct 39 ms 57592 KB Output is correct
22 Correct 38 ms 57600 KB Output is correct
23 Correct 148 ms 69092 KB Output is correct
24 Correct 135 ms 67448 KB Output is correct
25 Execution timed out 2579 ms 62716 KB Time limit exceeded
26 Halted 0 ms 0 KB -