oj.uz

Submission #218645

# Submission time Handle Problem Language Result Execution time Memory
218645 2020-04-02T12:44:44 Z Vimmer Matching (COCI20_matching) C++14
58 / 110
 2500 ms 69112 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;

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;
        }
    }

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

        if (!gd(i, a[i][0]))
        {
            qr.push({i, a[i][1]});

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

            return;
        }
        else
        {
            qr.push({i, a[i][0]});

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

            return;
        }
    }
}

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);

    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 39 ms 57464 KB Output is correct
2 Correct 41 ms 57600 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 39 ms 57464 KB Output is correct
2 Correct 41 ms 57600 KB Output is correct
3 Correct 37 ms 57472 KB Output is correct
4 Correct 40 ms 57592 KB Output is correct
5 Correct 42 ms 57720 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 39 ms 57464 KB Output is correct
2 Correct 41 ms 57600 KB Output is correct
3 Correct 37 ms 57472 KB Output is correct
4 Correct 40 ms 57592 KB Output is correct
5 Correct 42 ms 57720 KB Output is correct
6 Correct 37 ms 57472 KB Output is correct
7 Correct 37 ms 57472 KB Output is correct
8 Correct 41 ms 57592 KB Output is correct
9 Correct 39 ms 57592 KB Output is correct
10 Correct 39 ms 57592 KB Output is correct
11 Correct 38 ms 57448 KB Output is correct
12 Correct 38 ms 57600 KB Output is correct

Subtask #4
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 39 ms 57464 KB Output is correct
2 Correct 41 ms 57600 KB Output is correct
3 Correct 37 ms 57472 KB Output is correct
4 Correct 40 ms 57592 KB Output is correct
5 Correct 42 ms 57720 KB Output is correct
6 Correct 37 ms 57472 KB Output is correct
7 Correct 37 ms 57472 KB Output is correct
8 Correct 41 ms 57592 KB Output is correct
9 Correct 39 ms 57592 KB Output is correct
10 Correct 39 ms 57592 KB Output is correct
11 Correct 38 ms 57448 KB Output is correct
12 Correct 38 ms 57600 KB Output is correct
13 Correct 159 ms 60000 KB Output is correct
14 Correct 141 ms 60024 KB Output is correct
15 Correct 150 ms 60112 KB Output is correct
16 Correct 140 ms 60024 KB Output is correct
17 Correct 144 ms 59896 KB Output is correct
18 Correct 167 ms 60152 KB Output is correct
19 Correct 142 ms 60024 KB Output is correct
20 Correct 152 ms 60024 KB Output is correct
21 Correct 37 ms 57592 KB Output is correct
22 Correct 39 ms 57592 KB Output is correct
23 Correct 152 ms 69112 KB Output is correct
24 Correct 150 ms 67448 KB Output is correct

Subtask #5
0 / 52.0

# Verdict Execution time Memory Grader output
1 Correct 39 ms 57464 KB Output is correct
2 Correct 41 ms 57600 KB Output is correct
3 Correct 37 ms 57472 KB Output is correct
4 Correct 40 ms 57592 KB Output is correct
5 Correct 42 ms 57720 KB Output is correct
6 Correct 37 ms 57472 KB Output is correct
7 Correct 37 ms 57472 KB Output is correct
8 Correct 41 ms 57592 KB Output is correct
9 Correct 39 ms 57592 KB Output is correct
10 Correct 39 ms 57592 KB Output is correct
11 Correct 38 ms 57448 KB Output is correct
12 Correct 38 ms 57600 KB Output is correct
13 Correct 159 ms 60000 KB Output is correct
14 Correct 141 ms 60024 KB Output is correct
15 Correct 150 ms 60112 KB Output is correct
16 Correct 140 ms 60024 KB Output is correct
17 Correct 144 ms 59896 KB Output is correct
18 Correct 167 ms 60152 KB Output is correct
19 Correct 142 ms 60024 KB Output is correct
20 Correct 152 ms 60024 KB Output is correct
21 Correct 37 ms 57592 KB Output is correct
22 Correct 39 ms 57592 KB Output is correct
23 Correct 152 ms 69112 KB Output is correct
24 Correct 150 ms 67448 KB Output is correct
25 Execution timed out 2563 ms 62104 KB Time limit exceeded
26 Halted 0 ms 0 KB -