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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#382259#5102. Dungeon CrawlerUFRJTL 61ms19952kbC++203.4kb2024-04-08 09:06:232024-04-08 09:06:24

Judging History

你现在查看的是最新测评结果

  • [2024-04-08 09:06:24]
  • 评测
  • 测评结果:TL
  • 用时:61ms
  • 内存:19952kb
  • [2024-04-08 09:06:23]
  • 提交

answer

#include<bits/stdc++.h>

using namespace std;

template<typename T, typename Cmp = less<T>>
struct rmq_t : private Cmp{
    int N = 0;
    vector<vector<T>> table;
    const T& min(const T& a, const T &b) const{ 
        return Cmp::operator()(a,b) ? a : b;
    }
    rmq_t(){}
    rmq_t(const vector<T>& values): N(int(values.size())), table(__lg(N)+1){
        table[0] = values;
        for(int a=1; a < int(table.size()); ++a){
            table[a].resize(N - (1<<a) + 1);
            for(int b = 0; b + (1<<a) <= N; ++b)
                table[a][b] = min(table[a-1][b], table[a-1][b+(1<<(a-1))]);
        }
    }
    T query(int a, int b) const {
        int lg = __lg(b-a);
        return min(table[lg][a], table[lg][b-(1<<lg)]);
    }
};

struct lca_t{
    int N = 0;
    vector<vector<pair<int64_t, int>>> g;
    vector<int> in, out, leaves;
    vector<int64_t> prof;
    vector<pair<int, int>> rev;
    rmq_t<pair<int, int>> rmq;
    void dfs(int v, int p){
        in[v] = (int) rev.size();
        rev.emplace_back(in[v], v);
        for(auto [w, u] : g[v]) if(u != p){
            prof[u] = prof[v] + w;
            dfs(u, v);
            rev.emplace_back(in[v], v);
        }
        if(g[v].size() <= 1) leaves.push_back(v);
        out[v] = (int) rev.size();
        rev.emplace_back(in[v], v);
    }
    lca_t(){}
    lca_t(const auto & adj, int root = 0) : N(int(adj.size())), in(N), out(N), prof(N), g(adj){
        rev.reserve(3*N);
        leaves.reserve(N);
        dfs(root, root);
        rmq = rmq_t(rev);
    }
    int lca(int u, int v) const {
        u = in[u], v = in[v];
        if(u > v) swap(u, v);
        return rmq.query(u, v+1).second;
    }
    int lca_root(int root, int u, int v){
        return lca(root, u) ^ lca(root, v) ^ lca(u, v);
    }
    int64_t dist(int u, int v) const {
        int l = lca(u, v);
        return prof[u] + prof[v] - 2 * prof[l];
    }
    bool is_ancestor(int a, int b) const {
        return in[a] < in[b] && out[a] > out[b];
    }
};


int main(){
    cin.tie(0)->sync_with_stdio(false);
    int n, q;
    cin>>n>>q;
    int64_t all_edges = 0;
    vector<vector<pair<int64_t, int>>> g(n);
    for(int e =0; e < n-1; e++){
        int u, v; int64_t w;
        cin>>u>>v>>w;
        all_edges += w;
        u--, v--;
        g[u].emplace_back(w,v);
        g[v].emplace_back(w,u);
    }
    vector<vector<int>> lca(n, vector<int>(n));
    lca_t mylca(g);
    {
        for(int i =0; i <n; i++)
            for(int j =i; j <n; j++)
                lca[i][j] = lca[j][i] = mylca.lca(i, j);
    }
    auto get_lca = [&](int root, int i, int j){
        return lca[root][i] ^ lca[root][j] ^ lca[i][j];
    };
    map<tuple<int, int, int>, int64_t> memo;
    while(q--){
        int start, key, trap;
        cin>>start>>key>>trap;
        start--, key--, trap--;
        if(get_lca(start, key, trap) == trap){
            cout<<"impossible\n";
            continue;
        }
        int64_t answer = 3*all_edges;
        for(int e : mylca.leaves){
            int a = get_lca(start, e, key);
            int b = get_lca(start, e, trap);
            int64_t cur =  2*all_edges - mylca.dist(start, e);
            if(get_lca(start, a, b) == b)
                cur += 2*mylca.dist(a, b);
            answer = min(answer, cur);
        }
        cout<<answer<<"\n";
    }
    return 0;
}

详细

Test #1:

score: 100
Accepted
time: 0ms
memory: 3676kb

input:

22 5
1 2 7
2 3 5
3 4 8
3 6 6
3 7 3
2 5 6
5 8 2
8 9 11
2 10 16
1 11 12
11 12 4
11 13 9
1 14 25
14 15 4
15 16 5
15 17 6
15 18 1
15 19 8
14 20 7
20 21 9
20 22 17
1 19 9
1 9 19
1 8 9
1 9 8
2 22 11

output:

316
293
293
impossible
314

result:

ok 5 lines

Test #2:

score: 0
Accepted
time: 1ms
memory: 3720kb

input:

100 100
1 2 289384
2 3 930887
2 4 692778
4 5 636916
4 6 747794
4 7 238336
4 8 885387
8 9 760493
8 10 516650
8 11 641422
8 12 202363
8 13 490028
8 14 368691
8 15 520060
8 16 897764
16 17 513927
16 18 180541
16 19 383427
16 20 89173
16 21 455737
16 22 5212
16 23 595369
16 24 702568
16 25 956430
16 26 ...

output:

103526917
103484292
106288816
104379596
104405611
104775512
105434682
105291604
103838430
105371370
104677980
104175650
105894571
104509242
103971939
105376499
105223283
104153426
105082245
105413188
104130613
104800548
106846555
104138329
103769253
105456754
104044745
104385328
106973740
105460460
...

result:

ok 100 lines

Test #3:

score: 0
Accepted
time: 0ms
memory: 3800kb

input:

10 6
1 2 4
2 3 7
2 4 8
4 5 6
4 6 4
4 7 6
4 8 7
8 9 3
8 10 10
3 8 1
10 4 7
1 7 3
7 2 9
8 10 3
4 1 6

output:

99
78
97
87
88
93

result:

ok 6 lines

Test #4:

score: 0
Accepted
time: 0ms
memory: 3576kb

input:

10 9
9 2 5
9 1 6
9 4 97
9 7 2
9 8 42
9 10 11
9 6 77
9 3 14
9 5 9
4 7 10
7 3 8
8 7 9
1 4 8
10 7 4
7 1 2
10 1 5
10 7 2
8 4 10

output:

352
427
impossible
443
418
427
418
418
407

result:

ok 9 lines

Test #5:

score: 0
Accepted
time: 0ms
memory: 3584kb

input:

9 9
2 3 48
9 5 31
7 3 97
4 3 16
1 7 24
5 3 82
8 2 51
6 4 33
1 2 8
3 6 8
1 6 3
9 5 6
2 6 4
5 6 1
9 6 4
2 8 9
4 9 2

output:

530
643
impossible
530
impossible
561
impossible
595
627

result:

ok 9 lines

Test #6:

score: 0
Accepted
time: 0ms
memory: 3832kb

input:

8 9
1 7 51
7 6 86
2 3 62
8 4 72
5 6 17
4 1 75
3 1 41
2 3 7
5 8 4
6 1 3
8 6 2
4 2 7
8 5 6
2 1 5
7 1 6
6 7 8

output:

551
impossible
524
558
579
impossible
551
705
524

result:

ok 9 lines

Test #7:

score: 0
Accepted
time: 0ms
memory: 3572kb

input:

9 9
5 4 13
9 2 10
1 9 25
7 6 34
4 2 77
3 8 67
8 1 57
6 9 100
6 4 1
4 1 7
3 2 9
4 9 7
7 9 3
6 2 1
2 8 4
8 6 2
6 5 9

output:

517
545
impossible
530
483
517
642
584
impossible

result:

ok 9 lines

Test #8:

score: 0
Accepted
time: 0ms
memory: 3584kb

input:

10 10
2 4 26
9 8 39
4 5 88
6 3 70
7 6 7
10 4 41
8 3 57
1 6 15
5 6 9
2 8 6
3 9 1
5 7 8
4 7 8
7 6 4
2 7 3
6 8 2
5 4 10
4 8 9
1 5 9

output:

impossible
496
529
441
531
415
566
529
441
523

result:

ok 10 lines

Test #9:

score: 0
Accepted
time: 0ms
memory: 3580kb

input:

10 9
3 2 6
2 1 18
8 1 44
1 9 42
6 3 72
10 8 46
7 10 93
5 3 11
4 10 13
7 3 1
8 2 5
7 5 4
5 10 8
3 1 4
6 4 3
10 1 6
5 10 8
2 10 4

output:

impossible
550
584
impossible
483
impossible
504
impossible
489

result:

ok 9 lines

Test #10:

score: 0
Accepted
time: 61ms
memory: 19952kb

input:

2000 199998
126 244 481188299
718 1159 740107180
1327 1250 248943862
977 1092 780169400
826 27 932696654
1668 638 478193038
229 174 176675890
1251 646 843918836
102 1973 593920932
236 218 165399894
760 151 890198591
232 502 10739184
1961 1409 45917915
548 1840 974742709
1096 630 280975617
1110 1048 ...

output:

1266421864327
impossible
1003453161105
1017793822920
1056758437569
impossible
1249128162612
1233756636475
1354563020262
1275484665657
impossible
impossible
1644448395794
impossible
impossible
impossible
1305598243001
1730425595360
1090858373772
1180211385304
1235543994987
1894692656465
impossible
12...

result:

ok 199998 lines

Test #11:

score: -100
Time Limit Exceeded

input:

1999 199999
1233 1172 270406027
1233 238 118916774
1233 902 452751000
1233 1868 96683385
1233 605 546735354
1233 82 679125014
1233 1132 938320209
1233 1424 561568050
1233 113 835230774
1233 330 63962348
1233 1758 986726048
1233 1006 214588798
1233 88 433116365
1233 1122 412164831
1233 1496 846865689...

output:

1993724469968
1993337272038
1993488034133
1993680602118
1993694627446
1994104485073
1994062829494
1993917179450
1993435921379
1993814292350
1993428850371
1993220985867
1993782751870
1994075401526
1993846887971
1994090631242
1993936573248
1993321397280
1993351664812
1993207502090
1994025398060
199385...

result: