oj.uz

Submission #1119338

# Submission time Handle Problem Language Result Execution time Memory
1119338 2024-11-26T20:58:38 Z mariaclara Reconstruction Project (JOI22_reconstruction) C++17
42 / 100
 5000 ms 10128 KB 
#include<bits/stdc++.h>
#pragma GCC optimize("O3")
using namespace std;

typedef long long ll;
typedef pair<int,int> pii;
typedef tuple<int,int,int> trio;
const int MAXN = 1e5+5;
#define W(x) get<0>(x)
#define U(x) get<1>(x)
#define V(x) get<2>(x)
#define all(x) x.begin(), x.end()
#define sz(x) (int)x.size()
#define mk make_pair 
#define pb push_back 
#define fr first 
#define sc second 

int n, m, q, remov[MAXN], add[MAXN], pai[505], tam[505];
vector<trio> edges;
vector<vector<pii>> graph;

int dfs(int no, int fim, int pai, int ind, int flag) {
    if(no == fim) return ind;

    for(auto [viz, i] : graph[no]) {
        if(viz == pai) continue;
        int new_ind = ind;
        if(W(edges[i])*flag < W(edges[ind])*flag) new_ind = i;
        
        int ret = dfs(viz, fim, no, new_ind, flag);
        if(ret != -1) return ret;
    }

    return -1;
}

int find(int x) {
    if(pai[x] == x) return x;
    return pai[x] = find(pai[x]);
}

bool join(int x, int y) {
    x = find(x);
    y = find(y);
    if(x == y) return 0;

    if(tam[x] <= tam[y]) {
        pai[x] = y;
        tam[y] += tam[x];
    }
    else {
        pai[y] = x;
        tam[x] += tam[y];
    }

    return 1;
}
int main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);

    cin >> n >> m;

    for(int i = 1, a, b, w; i <= m; i++) {
        cin >> a >> b >> w;
        edges.pb({w,a,b});
    }

    sort(all(edges));
    graph.resize(n+1);

    for(int i = 0; i < m; i++) {
        auto [w, a, b] = edges[i];

        // se existe um caminho entre a e b
        // removemos a menor aresta nele

        int sub = dfs(a, b, 0, i, 1);
        graph[a].pb({b, i});
        graph[b].pb({a, i});

        remov[i] = sub;
        
        if(sub == -1)  continue;

        auto [w1, a1, b1] = edges[sub];

        for(int j = 0; j < sz(graph[a1]); j++)
            if(graph[a1][j].sc == sub) {
                graph[a1].erase({graph[a1].begin() + j});
                break;
            }

        for(int j = 0; j < sz(graph[b1]); j++)
            if(graph[b1][j].sc == sub) {
                graph[b1].erase({graph[b1].begin() + j});
                break;
            }
    }

    graph.clear();
    graph.resize(n+1);
    set<int> active;

    for(int i = m-1; i >= 0; i--) {
        auto [w, a, b] = edges[i];

        // se existe um caminho entre a e b
        // removemos a menor aresta nele

        int sub = dfs(a, b, 0, i, -1);
        graph[a].pb({b, i});
        graph[b].pb({a, i});
        active.insert(i);
        add[i] = sub;
        
        if(sub == -1)  continue;
        active.erase(sub);

        auto [w1, a1, b1] = edges[sub];

        for(int j = 0; j < sz(graph[a1]); j++)
            if(graph[a1][j].sc == sub) {
                graph[a1].erase({graph[a1].begin() + j});
                break;
            }

        for(int j = 0; j < sz(graph[b1]); j++)
            if(graph[b1][j].sc == sub) {
                graph[b1].erase({graph[b1].begin() + j});
                break;
            }
    }

    cin >> q;

    int ptr = 0, w;
    while(q--) {
        cin >> w;

        while(ptr < m and W(edges[ptr]) <= w) {
            if(add[ptr] != -1) active.insert(add[ptr]);
            if(remov[ptr] != -1) active.erase(remov[ptr]);
            ptr++;
        }

        for(int i = 1; i <= n; i++) pai[i] = i, tam[i] = 1;

        vector<trio> pos1, pos2;
        for(auto it : active) {
            if(W(edges[it]) <= w) pos1.pb(edges[it]);
            else pos2.pb(edges[it]);
        }
        reverse(all(pos1));

        ll ans = 0;
        int i = 0, j = 0;
        for( ; i < sz(pos1) and j < sz(pos2); ) {
            auto [w1, a1, b1] = pos1[i];
            auto [w2, a2, b2] = pos2[j];

            if(w - w1 <= w2 - w) ans += (w - w1) * join(a1, b1), i++;
            else ans += (w2 - w) * join(a2, b2), j++;
        }

        while(i < sz(pos1)) ans += (w - W(pos1[i])) * join(U(pos1[i]), V(pos1[i])), i++;
        while(j < sz(pos2)) ans += (W(pos2[j]) - w) * join(U(pos2[j]), V(pos2[j])), j++;
        cout << ans << endl;
    }
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 504 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 2 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 336 KB Output is correct

Subtask #2
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 504 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 2 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 336 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Correct 839 ms 3260 KB Output is correct
21 Correct 448 ms 4028 KB Output is correct
22 Correct 681 ms 4044 KB Output is correct
23 Correct 694 ms 4260 KB Output is correct
24 Correct 705 ms 4152 KB Output is correct
25 Correct 848 ms 4076 KB Output is correct
26 Correct 849 ms 3516 KB Output is correct
27 Correct 834 ms 4064 KB Output is correct
28 Correct 824 ms 3496 KB Output is correct
29 Correct 299 ms 3632 KB Output is correct
30 Correct 861 ms 4036 KB Output is correct
31 Correct 852 ms 4136 KB Output is correct
32 Correct 843 ms 4244 KB Output is correct
33 Correct 816 ms 4028 KB Output is correct
34 Correct 234 ms 4332 KB Output is correct
35 Correct 834 ms 4028 KB Output is correct

Subtask #3
0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Execution timed out 5057 ms 9192 KB Time limit exceeded
5 Halted 0 ms 0 KB -

Subtask #4
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 504 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 2 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 336 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Execution timed out 5083 ms 10128 KB Time limit exceeded
21 Halted 0 ms 0 KB -

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 504 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 2 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 336 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Correct 839 ms 3260 KB Output is correct
21 Correct 448 ms 4028 KB Output is correct
22 Correct 681 ms 4044 KB Output is correct
23 Correct 694 ms 4260 KB Output is correct
24 Correct 705 ms 4152 KB Output is correct
25 Correct 848 ms 4076 KB Output is correct
26 Correct 849 ms 3516 KB Output is correct
27 Correct 834 ms 4064 KB Output is correct
28 Correct 824 ms 3496 KB Output is correct
29 Correct 299 ms 3632 KB Output is correct
30 Correct 861 ms 4036 KB Output is correct
31 Correct 852 ms 4136 KB Output is correct
32 Correct 843 ms 4244 KB Output is correct
33 Correct 816 ms 4028 KB Output is correct
34 Correct 234 ms 4332 KB Output is correct
35 Correct 834 ms 4028 KB Output is correct
36 Correct 1425 ms 4604 KB Output is correct
37 Correct 965 ms 4540 KB Output is correct
38 Correct 1235 ms 4540 KB Output is correct
39 Correct 1336 ms 3788 KB Output is correct
40 Correct 1273 ms 4408 KB Output is correct
41 Correct 1372 ms 4404 KB Output is correct
42 Correct 1480 ms 2708 KB Output is correct
43 Correct 1434 ms 4448 KB Output is correct
44 Correct 1195 ms 2492 KB Output is correct
45 Correct 609 ms 4540 KB Output is correct
46 Correct 1453 ms 4440 KB Output is correct
47 Correct 1410 ms 4492 KB Output is correct
48 Correct 1387 ms 4540 KB Output is correct
49 Correct 1401 ms 2552 KB Output is correct
50 Correct 402 ms 4540 KB Output is correct
51 Correct 1187 ms 4540 KB Output is correct

Subtask #6
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 504 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 2 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 336 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Correct 839 ms 3260 KB Output is correct
21 Correct 448 ms 4028 KB Output is correct
22 Correct 681 ms 4044 KB Output is correct
23 Correct 694 ms 4260 KB Output is correct
24 Correct 705 ms 4152 KB Output is correct
25 Correct 848 ms 4076 KB Output is correct
26 Correct 849 ms 3516 KB Output is correct
27 Correct 834 ms 4064 KB Output is correct
28 Correct 824 ms 3496 KB Output is correct
29 Correct 299 ms 3632 KB Output is correct
30 Correct 861 ms 4036 KB Output is correct
31 Correct 852 ms 4136 KB Output is correct
32 Correct 843 ms 4244 KB Output is correct
33 Correct 816 ms 4028 KB Output is correct
34 Correct 234 ms 4332 KB Output is correct
35 Correct 834 ms 4028 KB Output is correct
36 Correct 1 ms 336 KB Output is correct
37 Correct 1 ms 336 KB Output is correct
38 Correct 1 ms 336 KB Output is correct
39 Execution timed out 5057 ms 9192 KB Time limit exceeded
40 Halted 0 ms 0 KB -