Submission #331190

#	Time	Username	Problem	Language	Result	Execution time	Memory
331190		arujbansal	Swapping Cities (APIO20_swap)	C++17	6 / 100	379 ms	42092 KiB

swap

#include "swap.h"
#include <bits/stdc++.h>

#define FAST_IO ios_base::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr)
#define setIO(i, o) freopen(i, "r", stdin), freopen(o, "w", stdout)
#define rand_init mt19937 rng(chrono::steady_clock::now().time_since_epoch().count())
#define pb push_back
#define eb emplace_back
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define sz(x) (int) (x).size()
#define lc(i) 2*i
#define rc(i) 2*i+1
//#define int long long
using namespace std;
using ll = long long;
using ii = pair<int, int>;
using vii = vector<ii>;
using vi = vector<int>;
using vvi = vector<vi>;
using vb = vector<bool>;
using vvb = vector<vb>;

//rand_init;

const int MAXN = 2e5 + 5, MOD = 1e9 + 7, INF = 1e9 + 5;

struct Edge {
    int u, v, w;

    Edge(int u, int v, int w) : u(u), v(v), w(w) {}

    bool operator<(const Edge &other) {
        return w < other.w;
    }
};

int n, m, fakeNode, timer = 0;
const int MAXK = 20;
vector<Edge> edges;
vi g[MAXN];
int par[MAXN], cost[MAXN], deg[MAXN], binlift[MAXN][MAXK], minCost[MAXN], tin[MAXN], tout[MAXN];
bool valid[MAXN];

void addEdge(int u, int w) {
    g[u].pb(fakeNode);
    g[fakeNode].pb(u);

    cost[fakeNode] = w;
    valid[fakeNode] |= valid[u];
}

int get(int x) {
    return (par[x] == x ? x : par[x] = get(par[x]));
}

void unite(int x, int y, int w) {
//    cout << "Edge unite: " << x << " " << y << " " << w << "\n";

    int u = get(x), v = get(y);

    deg[x]++;
    deg[y]++;

    valid[u] |= (deg[x] >= 3);
    valid[v] |= (deg[y] >= 3);

    u = get(u), v = get(v);

    if (u == v) {
        addEdge(u, w);
        par[u] = fakeNode;
        valid[fakeNode] = true;

        fakeNode++;
        return;
    }

    addEdge(u, w);
    addEdge(v, w);

    par[u] = fakeNode;
    par[v] = fakeNode;

    fakeNode++;
}

void dfs(int u = fakeNode, int p = -1) {
    if (valid[u]) minCost[u] = cost[u];

    if (p != -1) {
        binlift[u][0] = p;
        minCost[u] = min(minCost[u], minCost[p]);
    }

    tin[u] = timer++;

    for (int j = 1; j < MAXK; j++) {
        if (binlift[u][j - 1] < 0) continue;
        binlift[u][j] = binlift[binlift[u][j - 1]][j - 1];
    }

    for (const auto &v : g[u])
        if (v != p)
            dfs(v, u);

    tout[u] = timer - 1;
}

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

int queryLCA(int u, int v) {
    if (isAnc(u, v)) return u;
    if (isAnc(v, u)) return v;

    for (int j = MAXK - 1; j >= 0; j--)
        if (binlift[u][j] > -1 && !isAnc(binlift[u][j], v))
            u = binlift[u][j];

    return binlift[u][0];
}

void init(int N, int M, vi U, vi V, vi W) {
    n = N, m = M;
    
    assert(n != 1);

    for (int i = 0; i < m; i++)
        edges.eb(U[i], V[i], W[i]);

    sort(all(edges));

    // Initialise UFDS stuff
    iota(par, par + 2 * n, 0);
    fakeNode = n;

    for (const auto &[u, v, w] : edges)
        unite(u, v, w);

    for (int i = 0; i < MAXN; i++)
        minCost[i] = INF;

    for (int i = 0; i <= 2 * n; i++) {
        for (int j = 0; j < MAXK; j++) {
            binlift[i][j] = -1;
        }
    }

    fakeNode--;
    dfs();
}

int getMinimumFuelCapacity(int X, int Y) {
    int lca = queryLCA(X, Y);

//    cout << "LCA: " << lca << "\n";

    return (minCost[lca] < INF ? minCost[lca] : -1);
}

//void solve() {
//    int a, b;
//    cin >> a >> b;
//    vi u(b), v(b), wt(b);
//
//    for (int i = 0; i < b; i++)
//        cin >> u[i] >> v[i] >> wt[i];
//
//    init(a, b, u, v, wt);
//
//    int q;
//    cin >> q;
//    while (q--) {
//        int x, y;
//        cin >> x >> y;
//        cout << getMinimumFuelCapacity(x, y) << "\n";
//    }
//}
//
//signed main() {
//    FAST_IO;
//#ifdef arujbansal_local
//    setIO("input.txt", "output.txt");
//#endif
//
//    int tc = 1;
////    cin >> tc;
//    while (tc--) solve();
//}

• Subtask 1: 6 / 6
• Subtask 2: 0 / 7
• Subtask 3: 0 / 17
• Subtask 4: 0 / 20
• Subtask 5: 0 / 23
• Subtask 6: 0 / 27