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Submission #983599

# Submission time Handle Problem Language Result Execution time Memory
983599 2024-05-15T18:52:24 Z RakhimovAmir Swapping Cities (APIO20_swap) C++17
0 / 100
 133 ms 40240 KB 
#include "swap.h"
#include <bits/stdc++.h>
using namespace std;
#define ll long long

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

const int N = 1e5 + 100, M = 30;
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, G;
bool fl[N], visited[N];
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;
        G++;
        for (auto i : v[X]) {
            addEdge(G, i, w);
        }
        v[X].clear();
        v[X].push_back(G);
        return;
    }
    if (v[Y].size() > v[X].size()) {
        swap(x, y);
        swap(X, Y);
    }
    prt[Y] = X;
    for (auto i : v[Y]) {
        v[X].push_back(i);
    }
    if (!fl[X] || !fl[Y] || (x != a[X] && x != b[X]) || (y != a[Y] && y != b[Y])) {
        fl[X] = 0;
        G++;
        for (auto i : v[X]) {
            addEdge(G, i, w);
        }
        v[X].clear();
        v[X].push_back(G);
        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;
    for (auto to : g[x]) {
        if (!visited[to.second])
          dfs(to.second, x, to.first);
    }
    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]);
        // cout << mx[x][i] << " " << x << " " << i << "\n";
    }
    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);
    }
    G = N - 1;
    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 = G; i >= 0; i--) {
        // int pr = findParent(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) || X == 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 12124 KB Output is correct
2 Correct 2 ms 12124 KB Output is correct
3 Correct 2 ms 12124 KB Output is correct
4 Correct 3 ms 12124 KB Output is correct
5 Correct 3 ms 12380 KB Output is correct
6 Correct 3 ms 12380 KB Output is correct
7 Correct 3 ms 12380 KB Output is correct
8 Correct 3 ms 12380 KB Output is correct
9 Correct 53 ms 36808 KB Output is correct
10 Correct 63 ms 38152 KB Output is correct
11 Correct 61 ms 38100 KB Output is correct
12 Correct 65 ms 38440 KB Output is correct
13 Correct 60 ms 38600 KB Output is correct
14 Correct 57 ms 36764 KB Output is correct
15 Correct 124 ms 40096 KB Output is correct
16 Correct 120 ms 39780 KB Output is correct
17 Correct 133 ms 40108 KB Output is correct
18 Correct 123 ms 40240 KB Output is correct
19 Incorrect 74 ms 19832 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 12124 KB Output is correct
2 Correct 2 ms 12124 KB Output is correct
3 Runtime error 84 ms 37148 KB Execution killed with signal 11
4 Halted 0 ms 0 KB -

Subtask #3
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12124 KB Output is correct
2 Correct 2 ms 12124 KB Output is correct
3 Correct 2 ms 12124 KB Output is correct
4 Correct 3 ms 12124 KB Output is correct
5 Correct 3 ms 12380 KB Output is correct
6 Correct 3 ms 12380 KB Output is correct
7 Correct 3 ms 12380 KB Output is correct
8 Correct 3 ms 12380 KB Output is correct
9 Incorrect 3 ms 12120 KB Output isn't correct
10 Halted 0 ms 0 KB -

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Incorrect 3 ms 12120 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #5
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12124 KB Output is correct
2 Correct 2 ms 12124 KB Output is correct
3 Correct 2 ms 12124 KB Output is correct
4 Correct 3 ms 12124 KB Output is correct
5 Correct 3 ms 12380 KB Output is correct
6 Correct 3 ms 12380 KB Output is correct
7 Correct 3 ms 12380 KB Output is correct
8 Correct 3 ms 12380 KB Output is correct
9 Correct 53 ms 36808 KB Output is correct
10 Correct 63 ms 38152 KB Output is correct
11 Correct 61 ms 38100 KB Output is correct
12 Correct 65 ms 38440 KB Output is correct
13 Correct 60 ms 38600 KB Output is correct
14 Correct 57 ms 36764 KB Output is correct
15 Correct 124 ms 40096 KB Output is correct
16 Correct 120 ms 39780 KB Output is correct
17 Correct 133 ms 40108 KB Output is correct
18 Correct 123 ms 40240 KB Output is correct
19 Runtime error 84 ms 37148 KB Execution killed with signal 11
20 Halted 0 ms 0 KB -

Subtask #6
0 / 27.0

# Verdict Execution time Memory Grader output
1 Incorrect 3 ms 12120 KB Output isn't correct
2 Halted 0 ms 0 KB -