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#660602#5548. Increase the Toll Feestemmie#RE 4ms19624kbC++173.9kb2024-10-20 12:16:522024-10-20 12:16:53

Judging History

你现在查看的是最新测评结果

  • [2024-10-20 12:16:53]
  • 评测
  • 测评结果:RE
  • 用时:4ms
  • 内存:19624kb
  • [2024-10-20 12:16:52]
  • 提交

answer

#include <bits/stdc++.h>
#define int long long
#define fastio ios::sync_with_stdio(0), cin.tie(0);
using namespace std;

#ifdef LOCAL
#define cout cout << "\033[0;32m"
#define cerr cerr << "\033[0;32m"
#define endl "\n" << "\033[0m"
#else
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx,avx2,sse,sse2,sse3,sse4,popcnt")
#define endl "\n"
#endif

#define pii pair<int,int>
#define all(x) (x).begin(), (x).end()

struct dsu_struct{
    int n;
    vector<int> p, sz;
    void init(int _n) {
        n = _n + 10;
        p.resize(n);
        sz.resize(n);
        for (int i = 0; i <= _n; ++i) {
            p[i] = i;
            sz[i] = 1;
        }
    }
    int qry(int i) {
        if (p[p[i]] == p[i]) return p[i];
        return p[i] = qry(p[i]);
    }
    bool merg(int u, int v) {
        u = qry(u);
        v = qry(v);
        if (u == v) return false;
        if (sz[u] < sz[v]) swap(u, v);
        // let sz[v] < sz[u]
        sz[u] += sz[v];
        p[v] = u;
        return true;
    }
};

const int MAX_N = 5e5+10;
const int INF = 2e18;
const int mxlg = 18;
vector<pair<int, pii>> EV;
vector<pii> E[MAX_N]; // {to, w}
bool in_tree[MAX_N]; // in the first unique tree
int dep[MAX_N], jmp[MAX_N][mxlg], jval[MAX_N][mxlg];

void dfs(int v, int p) {
    for (auto &i:E[v]) {
        if (i.first == p) continue;
        jmp[i.first][0] = v;
        jval[i.first][0] = i.second;
        dep[i.first] = dep[v] + 1;
        dfs(i.first, v);
    }
}

int lca_qry(int u, int v) {
    if (dep[u] > dep[v]) swap(u, v);
    // let dep[v] > dep[u]
    int diff = dep[v] - dep[u], ret = 0;
    for (int j = mxlg - 1; j >= 0; --j) {
        if (diff & (1 << j)) {
            ret = max(ret, jval[v][j]);
            v = jmp[v][j];
        }
    }
    if (u == v) return ret;
    for (int j = mxlg - 1; j >= 0; --j) {
        if (jmp[v][j] != jmp[u][j]) {
            v = jmp[v][j];
            u = jmp[u][j];
            ret = max(ret, max(jval[v][j], jval[u][j]));
        }
    }
    return max(ret, max(jval[v][0], jval[u][0]));
}

void solve1(){
    int n, m; cin >> n >> m;
    EV.resize(m);
    for (int i = 0; i < m; ++i) {
        int u, v, w; cin >> u >> v >> w;
        EV[i] = {w, {u, v}};
    }
    sort(all(EV));
    dsu_struct dsu;
    dsu.init(n);
    for (int i = 0; i < m; ++i) {
        in_tree[i] = dsu.merg(EV[i].second.first, EV[i].second.second);
    }
    dsu.init(n);
    int comp = n;
    for (int i = 0; i < m; ++i) {
        if (!in_tree[i]) {
            comp -= dsu.merg(EV[i].second.first, EV[i].second.second);
        }
    }
    if (comp != 1) {
        cout << "-1" << endl;
        return;
    }
    dsu.init(n);
    for (int i = 0; i < m; ++i) {
        if (!in_tree[i]) {
            int u = EV[i].second.first;
            int v = EV[i].second.second;
            if (dsu.merg(u, v)) {
                int w = EV[i].first;
                E[u].push_back({v, w});
                E[v].push_back({u, w});
//                cout << u << ' ' << v << ", w = " << w << endl;
            }
        }
    }
    jmp[1][0] = 1;
    dfs(1, -1);
    for (int j = 1; j < mxlg; ++j) {
        for (int i = 1; i <= n; ++i) {
            jval[i][j] = max(jval[i][j-1], jval[ (jmp[i][j-1]) ][j-1]);
            jmp[i][j] = jmp[ (jval[i][j-1]) ][j-1];
        }
    }
    int ans = 0;
    for (int i = 0; i < m; ++i) {
        if (in_tree[i]) {
            int u = EV[i].second.first;
            int v = EV[i].second.second;
            int w = EV[i].first;
            ans += lca_qry(u, v) + 1 - w;
        }
    }
//    cout << jmp[4][0] << ' ' << jmp[2][0] << endl;
//    cout << jval[4][0] << ' ' << jval[2][0] << endl;
//    cout << jval[4][1] << endl;
    cout << ans << endl;
}

signed main(){
//    freopen("pM.in", "r", stdin);
    fastio;

    int t = 1;
    while (t--){
        solve1();
    }

    return 0;
}

详细

Test #1:

score: 100
Accepted
time: 0ms
memory: 19192kb

input:

4 6
1 2 2
1 3 5
1 4 5
2 3 3
2 4 5
3 4 4

output:

9

result:

ok single line: '9'

Test #2:

score: 0
Accepted
time: 0ms
memory: 17680kb

input:

3 4
1 2 3
2 3 4
1 3 5
1 3 10

output:

-1

result:

ok single line: '-1'

Test #3:

score: 0
Accepted
time: 4ms
memory: 19624kb

input:

5 10
1 2 14
1 3 14
1 4 9
1 5 15
2 3 8
2 3 10
2 4 13
3 4 8
4 5 10
4 5 15

output:

21

result:

ok single line: '21'

Test #4:

score: 0
Accepted
time: 0ms
memory: 16084kb

input:

2 1
1 2 1

output:

-1

result:

ok single line: '-1'

Test #5:

score: -100
Runtime Error

input:

29171 100000
7223 21138 270743473
5598 27967 847631606
12666 26050 847631606
75 15747 270743473
8522 12955 847631606
6069 23750 270743473
18708 22605 847631606
16814 22169 847631606
11550 27119 847631606
562 15959 847631606
9400 11110 270743473
15325 23805 270743473
19169 24404 270743473
6649 12062 ...

output:


result: