oj.uz

Submission #1095728

# Submission time Handle Problem Language Result Execution time Memory
1095728 2024-10-03T03:57:17 Z Mike_Vu Factories (JOI14_factories) C++14
100 / 100
 2495 ms 191616 KB 
#ifndef mikevui
    #include "factories.h"
#endif // mikevui

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef long double dou;
#define pii pair<int, int>
#define fi first
#define se second
#define pb push_back
#define MASK(x) (1LL<<(x))
#define BITj(x, j) (((x)>>(j))&1)

template<typename T> bool maximize(T &x, const T &y) {
    if (x < y) {x = y; return 1;}
    return 0;
}
template<typename T> bool minimize(T &x, const T &y) {
    if (x > y) {x = y; return 1;}
    return 0;
}

const int maxn = 5e5+5, lg = 20;
const ll INF = 3e18;
int n;
vector<pair<int, ll>> a[maxn];
int tin[maxn], tout[maxn], timer = 0, par[maxn][lg+1];
ll dis[maxn];
//virtual tree
vector<pair<int, ll>> adj[maxn];
int c[maxn];
ll mi1[maxn], mi2[maxn], ans = LLONG_MAX;

bool cmp(int u, int v) {
    return tin[u] < tin[v];
}

void dfspre(int u, int p) {
    tin[u] = ++timer;
    for (int j = 1; j <= lg; j++) {
        par[u][j] = par[par[u][j-1]][j-1];
    }
    for (int i = 0; i < (int)a[u].size(); i++) {
        int v = a[u][i].fi;
        ll w = a[u][i].se;
        if (v == p) continue;
        dis[v] = dis[u]+w;
        par[v][0] = u;
        dfspre(v, u);
    }
    tout[u] = timer;
}
bool inside(int u, int v) {
    return (tin[u] <= tin[v] && tout[v] <= tout[u]);
}
int lca(int u, int v) {
    if (inside(u, v)) return v;
    if (inside(v, u)) return u;
    for (int j = lg; j >= 0; j--) {
        while (par[u][j] > 0 && !inside(par[u][j], v)) {
            u = par[u][j];
        }
    }
    return par[u][0];
}

void Init(int N, int A[], int B[], int D[]) {
    n = N;
    for (int i = 0; i < n-1; i++) {
        int u = A[i]+1, v = B[i]+1;
        ll w = D[i];
        a[u].pb({v, w});
        a[v].pb({u, w});
    }
    dis[1] = 0;
    dfspre(1, -1);
    memset(mi1, 0x3f, sizeof(mi1));
    memset(mi2, 0x3f, sizeof(mi2));
    memset(c, 0, sizeof(c));
}

void dfsup(int u) {
    if (c[u] == 1) {
        mi1[u] = 0;
    }
    for (int i = 0; i < (int)adj[u].size(); i++) {
        int v = adj[u][i].fi;
        ll w = adj[u][i].se;
        dfsup(v);
        if (mi1[v] >= INF) continue;
        ll val = mi1[v]+w;
        if (val < mi1[u]) {
            mi2[u] = mi1[u];
            mi1[u] = val;
        }
        else if (val < mi2[u]) {
            mi2[u] = val;
        }
        if (c[u] == 2){
            minimize(ans, val);
        }
    }
}
void dfsdown(int u, ll down) {
    if (c[u] == 2 && down < INF) {
        minimize(ans, down);
    }
//    cout << u << ' ' << down << "\n";
    for (int i = 0; i < (int)adj[u].size(); i++) {
        int v = adj[u][i].fi;
        ll w = adj[u][i].se;
        ll val = min(down, (mi1[v] < INF && mi1[v]+w == mi1[u] ? mi2[u] : mi1[u]));
        if (val < INF) val += w;
        dfsdown(v, val);
    }
}

long long Query(int S, int X[], int T, int Y[]){
    ans = INF;
    //build virtual tree
    vector<int> nodes;
    for (int i = 0; i < S; i++) {
        int u = X[i]+1;
        nodes.push_back(u);
        c[u] = 1;
    }
    for (int i = 0; i < T; i++) {
        int u = Y[i]+1;
        nodes.push_back(u);
        if (c[u] == 1) {
            return 0LL;
        }
        c[u] = 2;
    }
    sort(nodes.begin(), nodes.end(), cmp);
    int k = nodes.size();
    for (int i = 1; i < k; i++) {
        nodes.push_back(lca(nodes[i], nodes[i-1]));
    }
    sort(nodes.begin(), nodes.end(), cmp);
    nodes.erase(unique(nodes.begin(), nodes.end()), nodes.end());
    k = nodes.size();
    vector<int> st;
    st.pb(nodes[0]); //root
    for (int i = 1; i < k; i++) {
        while (!inside(st.back(), nodes[i])) st.pop_back();
        int u = st.back(), v = nodes[i];
        adj[u].pb({v, dis[v]-dis[u]});
        st.push_back(v);
//        cout << u << ' ' << v << ' ' << dis[v]-dis[u] << "\n";
    }
    //solve, up and down
    dfsup(nodes[0]);
//    for (int i = 0; i < k; i++) {
//        cout << nodes[i] << ' ' << mi1[nodes[i]] << ' ' << mi2[nodes[i]] << "\n";
//    }
    dfsdown(nodes[0], INF);
    //reset
    for (int i = 0; i < k; i++) {
        int u = nodes[i];
        adj[u].clear();
        c[u] = 0;
        mi1[u] = mi2[u] = INF;
    }
    return ans;
}

int N, Q, A[maxn], B[maxn], D[maxn], S, T, X[maxn], Y[maxn];

#ifdef mikevui
int main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
//    #define name "task"
//    if (fopen(name".inp", "r")) {
//        freopen(name".inp", "r", stdin);
//        freopen(name".out", "w", stdout);
//    }
    cin >> N >> Q;
    for (int i = 0; i < N-1; i++) {
        cin >> A[i] >> B[i] >> D[i];
    }
    Init(N, A, B, D);
    while (Q--) {
        cin >> S >> T;
        for (int i = 0; i < S; i++) {
            cin >> X[i];
        }
        for (int i = 0; i < T; i++) {
            cin >> Y[i];
        }
        cout << Query(S, X, T, Y) << "\n";
    }
}
#endif // mikevui
/*
7 1
0 1 4
1 2 4
2 3 5
2 4 6
4 5 5
1 6 3
2 2
0 6
3 4

7 3
0 1 4
1 2 4
2 3 5
2 4 6
4 5 5
1 6 3
2 2
0 6
3 4
3 2
0 1 3
4 6
1 1
2
5
*/

Subtask #1
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 31 ms 34136 KB Output is correct
2 Correct 779 ms 52044 KB Output is correct
3 Correct 776 ms 52052 KB Output is correct
4 Correct 761 ms 52052 KB Output is correct
5 Correct 730 ms 52564 KB Output is correct
6 Correct 481 ms 52308 KB Output is correct
7 Correct 792 ms 52144 KB Output is correct
8 Correct 767 ms 52340 KB Output is correct
9 Correct 765 ms 52392 KB Output is correct
10 Correct 489 ms 52048 KB Output is correct
11 Correct 772 ms 52024 KB Output is correct

Subtask #2
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 33880 KB Output is correct
2 Correct 967 ms 139776 KB Output is correct
3 Correct 1239 ms 144452 KB Output is correct
4 Correct 709 ms 136872 KB Output is correct
5 Correct 970 ms 185376 KB Output is correct
6 Correct 1262 ms 146320 KB Output is correct
7 Correct 1022 ms 74316 KB Output is correct
8 Correct 491 ms 73632 KB Output is correct
9 Correct 596 ms 81416 KB Output is correct
10 Correct 976 ms 75608 KB Output is correct

Subtask #3
67.0 / 67.0

# Verdict Execution time Memory Grader output
1 Correct 31 ms 34136 KB Output is correct
2 Correct 779 ms 52044 KB Output is correct
3 Correct 776 ms 52052 KB Output is correct
4 Correct 761 ms 52052 KB Output is correct
5 Correct 730 ms 52564 KB Output is correct
6 Correct 481 ms 52308 KB Output is correct
7 Correct 792 ms 52144 KB Output is correct
8 Correct 767 ms 52340 KB Output is correct
9 Correct 765 ms 52392 KB Output is correct
10 Correct 489 ms 52048 KB Output is correct
11 Correct 772 ms 52024 KB Output is correct
12 Correct 16 ms 33880 KB Output is correct
13 Correct 967 ms 139776 KB Output is correct
14 Correct 1239 ms 144452 KB Output is correct
15 Correct 709 ms 136872 KB Output is correct
16 Correct 970 ms 185376 KB Output is correct
17 Correct 1262 ms 146320 KB Output is correct
18 Correct 1022 ms 74316 KB Output is correct
19 Correct 491 ms 73632 KB Output is correct
20 Correct 596 ms 81416 KB Output is correct
21 Correct 976 ms 75608 KB Output is correct
22 Correct 2087 ms 156300 KB Output is correct
23 Correct 1868 ms 157380 KB Output is correct
24 Correct 2495 ms 161788 KB Output is correct
25 Correct 2427 ms 164112 KB Output is correct
26 Correct 2298 ms 154648 KB Output is correct
27 Correct 1945 ms 191616 KB Output is correct
28 Correct 1157 ms 152188 KB Output is correct
29 Correct 2103 ms 153256 KB Output is correct
30 Correct 2033 ms 152332 KB Output is correct
31 Correct 2028 ms 152992 KB Output is correct
32 Correct 1101 ms 84116 KB Output is correct
33 Correct 751 ms 77244 KB Output is correct
34 Correct 1123 ms 73044 KB Output is correct
35 Correct 1072 ms 72828 KB Output is correct
36 Correct 1131 ms 73920 KB Output is correct
37 Correct 1172 ms 73652 KB Output is correct