oj.uz

Submission #92334

# Submission time Handle Problem Language Result Execution time Memory
92334 2019-01-02T13:58:29 Z Alexa2001 Collapse (JOI18_collapse) C++17
100 / 100
 4046 ms 30684 KB 
#include <bits/stdc++.h>
#include "collapse.h"

using namespace std;

const int Bsize = 323, Nmax = 1e5 + 5;

struct Edge
{
    int x, y, t1, t2;
    bool operator < (const Edge &other) const
    {
        return y < other.y;
    }
};
struct Query
{
    int pos, t, id;
    bool operator < (const Query &other) const
    {
        return pos < other.pos;
    }
};
vector<int> answer;
vector<Query> queries;
vector<Edge> edges;
map< pair<int,int> , int > mp;
int N, Q, M;

namespace forest
{
    static int moves;
    static int t[Nmax], rang[Nmax];
    static vector<int> S, T;

    void init()
    {
        moves = 0;
        S.clear(); T.clear();
        int i;
        for(i=0; i<N; ++i) t[i] = i;
    }

    int boss(int node)
    {
        while(t[node] != node) node = t[node];
        return node;
    }

    bool unite(int x, int y)
    {
        x = boss(x); y = boss(y);
        if(x == y) return 0;

        ++moves;

        if(rang[x] == rang[y])
        {
            ++rang[y];
            S.push_back(y);
        }
        else
        {
            S.push_back(0);
            if(rang[x] > rang[y]) swap(x, y);
        }
        t[x] = y;
        T.push_back(x);
        return 1;
    }

    void undo(int nr)
    {
        moves -= nr;
        while(nr--)
        {
            assert(S.size());
            assert(T.size());

            int x, y;
            x = T.back(), y = S.back();
            S.pop_back(); T.pop_back();
            t[x] = x;
            if(y) rang[y] --;
        }
    }
}

void solve(vector<Edge> E, vector<Query> Q)
{
    int i;
    vector<Query> v[Nmax];
    vector<Edge> all, possible;

    for(auto it : Q)
        v[it.t / Bsize * Bsize].push_back(it);

    for(i=0; i<=M; i += Bsize) if(!v[i].empty())
    {
        forest::init();
        all.clear();
        possible.clear();

        for(auto it : E)
            if(it.t1 <= i && it.t2 >= i + Bsize - 1) all.push_back(it);
                else if(it.t2 >= i && it.t1 <= i + Bsize - 1) possible.push_back(it);

        sort(all.begin(), all.end());
        sort(v[i].begin(), v[i].end());

        int cursor = 0;
        for(auto q : v[i])
        {
            while(cursor < all.size() && all[cursor].y <= q.pos)
                forest::unite(all[cursor].x, all[cursor].y), ++cursor;

            int undo = 0;
            for(auto it : possible)
                if(it.t1 <= q.t && q.t <= it.t2 && it.y <= q.pos)
                    if(forest::unite(it.x, it.y)) ++undo;

            answer[q.id] -= forest::moves;
            forest::undo(undo);
        }
    }
}

vector<int> simulateCollapse (int _N, vector<int> T, vector<int> X, vector<int> Y, vector<int> W, vector<int> P)
{
    N = _N, M = T.size(), Q = W.size();
    int i;
    answer.resize(Q);
    for(i=0; i<Q; ++i) answer[i] = N;

    for(i=0; i<M; ++i)
    {
        if(X[i] > Y[i]) swap(X[i], Y[i]);
        if(T[i] == 0) mp[{X[i], Y[i]}] = i;
            else
            {
                edges.push_back({X[i], Y[i], mp[{X[i], Y[i]}], i - 1});
                mp[{X[i], Y[i]}] = -1;
            }
    }

    for(auto it : mp)
        if(it.second != -1)
            edges.push_back({it.first.first, it.first.second, it.second, M-1});

    for(i=0; i<Q; ++i)
        queries.push_back({P[i], W[i], i});

    solve(edges, queries);

    for(auto &it : edges)
    {
        it.x = N - it.x - 1, it.y = N - it.y - 1;
        swap(it.x, it.y);
    }

    for(auto &it : queries)
        it.pos = N - it.pos - 2;

    solve(edges, queries);

    return answer;
}

Compilation message

collapse.cpp: In function 'void solve(std::vector<Edge>, std::vector<Query>)':
collapse.cpp:114:26: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
             while(cursor < all.size() && all[cursor].y <= q.pos)
                   ~~~~~~~^~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 3320 KB Output is correct
2 Correct 5 ms 3064 KB Output is correct
3 Correct 16 ms 3064 KB Output is correct
4 Correct 7 ms 3064 KB Output is correct
5 Correct 11 ms 3320 KB Output is correct
6 Correct 32 ms 4088 KB Output is correct
7 Correct 6 ms 3156 KB Output is correct
8 Correct 7 ms 3180 KB Output is correct
9 Correct 13 ms 3576 KB Output is correct
10 Correct 26 ms 3576 KB Output is correct
11 Correct 52 ms 4136 KB Output is correct
12 Correct 39 ms 4088 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 38 ms 10176 KB Output is correct
2 Correct 44 ms 10272 KB Output is correct
3 Correct 219 ms 14428 KB Output is correct
4 Correct 66 ms 10176 KB Output is correct
5 Correct 307 ms 15020 KB Output is correct
6 Correct 352 ms 10168 KB Output is correct
7 Correct 2201 ms 28016 KB Output is correct
8 Correct 356 ms 18456 KB Output is correct
9 Correct 43 ms 10940 KB Output is correct
10 Correct 51 ms 10932 KB Output is correct
11 Correct 224 ms 10580 KB Output is correct
12 Correct 350 ms 19376 KB Output is correct
13 Correct 1292 ms 24016 KB Output is correct
14 Correct 2598 ms 29496 KB Output is correct
15 Correct 1918 ms 30496 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 37 ms 10048 KB Output is correct
2 Correct 47 ms 10144 KB Output is correct
3 Correct 55 ms 10148 KB Output is correct
4 Correct 70 ms 10176 KB Output is correct
5 Correct 438 ms 10080 KB Output is correct
6 Correct 409 ms 10300 KB Output is correct
7 Correct 1748 ms 23584 KB Output is correct
8 Correct 3571 ms 28504 KB Output is correct
9 Correct 54 ms 10944 KB Output is correct
10 Correct 380 ms 10608 KB Output is correct
11 Correct 2819 ms 30568 KB Output is correct
12 Correct 3983 ms 30628 KB Output is correct
13 Correct 3155 ms 30496 KB Output is correct
14 Correct 3935 ms 30480 KB Output is correct
15 Correct 2903 ms 30684 KB Output is correct

Subtask #4
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 3320 KB Output is correct
2 Correct 5 ms 3064 KB Output is correct
3 Correct 16 ms 3064 KB Output is correct
4 Correct 7 ms 3064 KB Output is correct
5 Correct 11 ms 3320 KB Output is correct
6 Correct 32 ms 4088 KB Output is correct
7 Correct 6 ms 3156 KB Output is correct
8 Correct 7 ms 3180 KB Output is correct
9 Correct 13 ms 3576 KB Output is correct
10 Correct 26 ms 3576 KB Output is correct
11 Correct 52 ms 4136 KB Output is correct
12 Correct 39 ms 4088 KB Output is correct
13 Correct 38 ms 10176 KB Output is correct
14 Correct 44 ms 10272 KB Output is correct
15 Correct 219 ms 14428 KB Output is correct
16 Correct 66 ms 10176 KB Output is correct
17 Correct 307 ms 15020 KB Output is correct
18 Correct 352 ms 10168 KB Output is correct
19 Correct 2201 ms 28016 KB Output is correct
20 Correct 356 ms 18456 KB Output is correct
21 Correct 43 ms 10940 KB Output is correct
22 Correct 51 ms 10932 KB Output is correct
23 Correct 224 ms 10580 KB Output is correct
24 Correct 350 ms 19376 KB Output is correct
25 Correct 1292 ms 24016 KB Output is correct
26 Correct 2598 ms 29496 KB Output is correct
27 Correct 1918 ms 30496 KB Output is correct
28 Correct 37 ms 10048 KB Output is correct
29 Correct 47 ms 10144 KB Output is correct
30 Correct 55 ms 10148 KB Output is correct
31 Correct 70 ms 10176 KB Output is correct
32 Correct 438 ms 10080 KB Output is correct
33 Correct 409 ms 10300 KB Output is correct
34 Correct 1748 ms 23584 KB Output is correct
35 Correct 3571 ms 28504 KB Output is correct
36 Correct 54 ms 10944 KB Output is correct
37 Correct 380 ms 10608 KB Output is correct
38 Correct 2819 ms 30568 KB Output is correct
39 Correct 3983 ms 30628 KB Output is correct
40 Correct 3155 ms 30496 KB Output is correct
41 Correct 3935 ms 30480 KB Output is correct
42 Correct 2903 ms 30684 KB Output is correct
43 Correct 332 ms 17896 KB Output is correct
44 Correct 2521 ms 28060 KB Output is correct
45 Correct 403 ms 18408 KB Output is correct
46 Correct 3840 ms 28520 KB Output is correct
47 Correct 57 ms 10944 KB Output is correct
48 Correct 61 ms 11040 KB Output is correct
49 Correct 275 ms 10864 KB Output is correct
50 Correct 600 ms 12576 KB Output is correct
51 Correct 432 ms 19432 KB Output is correct
52 Correct 1118 ms 21928 KB Output is correct
53 Correct 975 ms 21568 KB Output is correct
54 Correct 1866 ms 24268 KB Output is correct
55 Correct 1545 ms 24168 KB Output is correct
56 Correct 2206 ms 26088 KB Output is correct
57 Correct 2842 ms 28464 KB Output is correct
58 Correct 3535 ms 28920 KB Output is correct
59 Correct 3162 ms 30636 KB Output is correct
60 Correct 4046 ms 30432 KB Output is correct