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Submission #983546

# Submission time Handle Problem Language Result Execution time Memory
983546 2024-05-15T17:02:22 Z RakhimovAmir Swapping Cities (APIO20_swap) C++17
0 / 100
 187 ms 38692 KB 
#include "swap.h"
#include <bits/stdc++.h>
using namespace std;

struct edge {
    int w, x, y;
};

const int N = 1e5 + 100, M = 23;
vector<pair<int, int>> g[N];
vector<edge> edges;
int prt[N], a[N], b[N], p[N][M], mx[N][M], tin[N], tout[N], tt;
bool fl[N], visited[N];
map<pair<int, int>, bool> is;
vector<int> v[N];
bool cmp(edge a, edge b) {
    return a.w < b.w;
}

int findParent(int x) {
    if (prt[x] == x)
        return x;
    return prt[x] = findParent(prt[x]);
}

void addEdge(int x, int y, int w) {
    g[x].push_back({w, y});
    g[y].push_back({w, x});
}

void merge(int x, int y, int w) {
    int X = prt[x], Y = prt[y];
    if (X == Y) {
        if (!fl[X])
            return;
        fl[X] = 0;
        for (auto i : v[X]) {
            if (i != X) {
                addEdge(X, i, w);
            }
        }
        return;
    }
    if (v[Y].size() > v[X].size()) {
        swap(x, y);
        swap(X, Y);
    }
    for (auto i : v[Y]) {
        v[X].push_back(i);
    }
    prt[Y] = X;
    if (!fl[X] || !fl[Y] || (x != a[X] && x != b[X]) || (y != a[Y] && y != b[Y])) {
        fl[X] = 0;
        addEdge(X, Y, w);
        return;
    } else {
        if (x == a[X]) {
            if (y == b[Y])
                a[X] = a[Y];
            else
                a[X] = b[Y];
        }
        else {
            if (y == b[Y])
                b[X] = a[Y];
            else
                b[X] = b[Y];
        }
    }
}

void dfs(int x, int par, int w) {
    tin[x] = ++tt;
    visited[x] = 1;
    p[x][0] = par;
    mx[x][0] = w;
    for (int i = 1; i < M; i++) {
        p[x][i] = p[p[x][i - 1]][i - 1];
        mx[x][i] = max(mx[x][i - 1], mx[p[x][i - 1]][i - 1]);
    }
    for (auto to : g[x]) {
        if (!visited[to.second])
          dfs(to.second, x, to.first);
    }
    tout[x] = tt;
}

int ispr(int x, int y) {
    return tin[x] <= tin[y] && tout[x] >= tout[y];
}

int lca(int x, int y) {
    if (ispr(x, y))
        return x;
    if (ispr(y, x))
        return y;
    for (int i = M - 1; i >= 0; i--) {
        if (!ispr(p[x][i], y))
            x = p[x][i];
    }
    x = p[x][0];
    return x;
}

int findMax(int x, int y) {
    int ret = 0;
    if (x == y)
        return 0;
     for (int i = M - 1; i >= 0; i--) {
        if (!ispr(p[x][i], y)) {
            ret = max(ret, mx[x][i]);
            x = p[x][i];
        }
    }
    ret = max(ret, mx[x][0]);
    return ret;
}

void init(int N, int M, vector<int> U, vector<int> V, vector<int> W) {
    for (int i = 0; i < N; i++) {
        prt[i] = i;
        a[i] = i;
        b[i] = i;
        fl[i] = 1;
        v[i].push_back(i);
    }
    for (int i = 0; i < M; i++) {
        edges.push_back({W[i], U[i], V[i]});
    }
    sort(edges.begin(), edges.end(), cmp);
    for (auto i : edges) {
        merge(i.x, i.y, i.w);
    }
    for (int i = 0; i < N; i++) {
        if (!visited[i]) {
            dfs(i, i, 0);
        }
    }
}

int getMinimumFuelCapacity(int X, int Y) {
    int P = lca(X, Y);
    if (!ispr(P, X) || !ispr(P, Y))
      return -1;
    return max(findMax(X, P), findMax(Y, P));
}

Subtask #1
0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 11104 KB Output is correct
2 Correct 2 ms 10844 KB Output is correct
3 Correct 2 ms 10844 KB Output is correct
4 Correct 2 ms 10844 KB Output is correct
5 Correct 2 ms 10844 KB Output is correct
6 Correct 2 ms 10840 KB Output is correct
7 Correct 2 ms 10844 KB Output is correct
8 Correct 2 ms 10844 KB Output is correct
9 Correct 55 ms 31400 KB Output is correct
10 Correct 62 ms 32716 KB Output is correct
11 Correct 58 ms 32612 KB Output is correct
12 Correct 60 ms 32972 KB Output is correct
13 Correct 55 ms 33224 KB Output is correct
14 Correct 61 ms 31688 KB Output is correct
15 Correct 130 ms 34380 KB Output is correct
16 Correct 124 ms 34424 KB Output is correct
17 Correct 144 ms 34628 KB Output is correct
18 Correct 134 ms 34648 KB Output is correct
19 Incorrect 63 ms 18468 KB Output isn't correct
20 Halted 0 ms 0 KB -

Subtask #2
0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 11104 KB Output is correct
2 Correct 2 ms 10844 KB Output is correct
3 Incorrect 187 ms 38692 KB Output isn't correct
4 Halted 0 ms 0 KB -

Subtask #3
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 11104 KB Output is correct
2 Correct 2 ms 10844 KB Output is correct
3 Correct 2 ms 10844 KB Output is correct
4 Correct 2 ms 10844 KB Output is correct
5 Correct 2 ms 10844 KB Output is correct
6 Correct 2 ms 10840 KB Output is correct
7 Correct 2 ms 10844 KB Output is correct
8 Correct 2 ms 10844 KB Output is correct
9 Correct 2 ms 10844 KB Output is correct
10 Incorrect 2 ms 10844 KB Output isn't correct
11 Halted 0 ms 0 KB -

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 10844 KB Output is correct
2 Correct 2 ms 11104 KB Output is correct
3 Correct 2 ms 10844 KB Output is correct
4 Correct 2 ms 10844 KB Output is correct
5 Correct 2 ms 10844 KB Output is correct
6 Correct 2 ms 10844 KB Output is correct
7 Correct 2 ms 10840 KB Output is correct
8 Correct 2 ms 10844 KB Output is correct
9 Correct 2 ms 10844 KB Output is correct
10 Correct 55 ms 31400 KB Output is correct
11 Correct 62 ms 32716 KB Output is correct
12 Correct 58 ms 32612 KB Output is correct
13 Correct 60 ms 32972 KB Output is correct
14 Correct 55 ms 33224 KB Output is correct
15 Incorrect 2 ms 10844 KB Output isn't correct
16 Halted 0 ms 0 KB -

Subtask #5
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 11104 KB Output is correct
2 Correct 2 ms 10844 KB Output is correct
3 Correct 2 ms 10844 KB Output is correct
4 Correct 2 ms 10844 KB Output is correct
5 Correct 2 ms 10844 KB Output is correct
6 Correct 2 ms 10840 KB Output is correct
7 Correct 2 ms 10844 KB Output is correct
8 Correct 2 ms 10844 KB Output is correct
9 Correct 55 ms 31400 KB Output is correct
10 Correct 62 ms 32716 KB Output is correct
11 Correct 58 ms 32612 KB Output is correct
12 Correct 60 ms 32972 KB Output is correct
13 Correct 55 ms 33224 KB Output is correct
14 Correct 61 ms 31688 KB Output is correct
15 Correct 130 ms 34380 KB Output is correct
16 Correct 124 ms 34424 KB Output is correct
17 Correct 144 ms 34628 KB Output is correct
18 Correct 134 ms 34648 KB Output is correct
19 Incorrect 187 ms 38692 KB Output isn't correct
20 Halted 0 ms 0 KB -

Subtask #6
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 10844 KB Output is correct
2 Correct 2 ms 11104 KB Output is correct
3 Correct 2 ms 10844 KB Output is correct
4 Correct 2 ms 10844 KB Output is correct
5 Correct 2 ms 10844 KB Output is correct
6 Correct 2 ms 10844 KB Output is correct
7 Correct 2 ms 10840 KB Output is correct
8 Correct 2 ms 10844 KB Output is correct
9 Correct 2 ms 10844 KB Output is correct
10 Correct 55 ms 31400 KB Output is correct
11 Correct 62 ms 32716 KB Output is correct
12 Correct 58 ms 32612 KB Output is correct
13 Correct 60 ms 32972 KB Output is correct
14 Correct 55 ms 33224 KB Output is correct
15 Correct 61 ms 31688 KB Output is correct
16 Correct 130 ms 34380 KB Output is correct
17 Correct 124 ms 34424 KB Output is correct
18 Correct 144 ms 34628 KB Output is correct
19 Correct 134 ms 34648 KB Output is correct
20 Incorrect 187 ms 38692 KB Output isn't correct
21 Halted 0 ms 0 KB -