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Submission #872343

# Submission time Handle Problem Language Result Execution time Memory
872343 2023-11-12T22:37:37 Z ttamx Bridges (APIO19_bridges) C++14
100 / 100
 1338 ms 11392 KB 
#include<bits/stdc++.h>

using namespace std;

const int N=50005;
const int M=1e5+5;
const int Q=1e5+5;
const int K=633;

int n,m,q;
int ans[Q];
bool used[M];

struct Edge{
    int u,v,w;
    bool operator<(const Edge &o)const{
        if(w!=o.w)return w>o.w;
        if(u!=o.u)return u<o.u;
        return v<o.v;
    }
}ed[M];
multiset<Edge> ms;

struct Query{
    int t,s,w;
    bool operator<(const Query &o)const{
        return w>o.w;
    }
}qr[Q];

struct DSU{
    int p[N],sz[N];
    stack<pair<int,int>> s;
    void init(){
        for(int i=1;i<=n;i++)p[i]=i,sz[i]=1;
        while(!s.empty())s.pop();
    }
    int fp(int u){
        return p[u]==u?u:fp(p[u]);
    }
    bool uni(int u,int v){
        u=fp(u),v=fp(v);
        if(u==v)return false;
        if(sz[u]<sz[v])swap(u,v);
        p[v]=u;
        sz[u]+=sz[v];
        s.emplace(u,v);
        return true;
    }
    int state(){
        return s.size();
    }
    void undo(int t){
        while(s.size()>t){
            auto [u,v]=s.top();
            s.pop();
            p[v]=v;
            sz[u]-=sz[v];
        }
    }
    int size(int u){
        return sz[fp(u)];
    }
}dsu;

int main(){
    cin.tie(nullptr)->sync_with_stdio(false);
    cin >> n >> m;
    for(int i=1;i<=m;i++){
        cin >> ed[i].u >> ed[i].v >> ed[i].w;
        ms.emplace(ed[i]);
    }
    cin >> q;
    for(int i=1;i<=q;i++)cin >> qr[i].t >> qr[i].s >> qr[i].w;
    for(int l=1,r=K;l<=q;l+=K,r+=K){
        r=min(r,q);
        dsu.init();
        vector<int> upd;
        for(int i=l;i<=r;i++){
            int id=qr[i].s;
            if(qr[i].t==1&&!used[id]){
                used[id]=true;
                upd.emplace_back(id);
                ms.erase(ms.find(ed[id]));
            }
        }
        vector<tuple<int,int,vector<int>>> qrs;
        for(int i=l;i<=r;i++){
            if(qr[i].t==1){
                ed[qr[i].s].w=qr[i].w;
            }else{
                vector<int> res;
                for(auto j:upd)if(ed[j].w>=qr[i].w)res.emplace_back(j);
                qrs.emplace_back(qr[i].w,i,res);
            }
        }
        sort(qrs.rbegin(),qrs.rend());
        auto it=ms.begin();
        for(auto [w,i,v]:qrs){
            while(it!=ms.end()&&it->w>=w){
                dsu.uni(it->u,it->v);
                it++;
            }
            int st=dsu.state();
            for(auto j:v)dsu.uni(ed[j].u,ed[j].v);
            ans[i]=dsu.size(qr[i].s);
            dsu.undo(st);
        }
        for(auto i:upd){
            used[i]=false;
            ms.emplace(ed[i]);
        }
    }
    for(int i=1;i<=q;i++)if(qr[i].t==2)cout << ans[i] << "\n";
}

Compilation message

bridges.cpp: In member function 'void DSU::undo(int)':
bridges.cpp:54:23: warning: comparison of integer expressions of different signedness: 'std::stack<std::pair<int, int> >::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   54 |         while(s.size()>t){
      |               ~~~~~~~~^~
bridges.cpp:55:18: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   55 |             auto [u,v]=s.top();
      |                  ^
bridges.cpp: In function 'int main()':
bridges.cpp:99:18: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   99 |         for(auto [w,i,v]:qrs){
      |                  ^

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2392 KB Output is correct
2 Correct 0 ms 2392 KB Output is correct
3 Correct 14 ms 2908 KB Output is correct
4 Correct 3 ms 2396 KB Output is correct
5 Correct 8 ms 2652 KB Output is correct
6 Correct 7 ms 2636 KB Output is correct
7 Correct 7 ms 2696 KB Output is correct
8 Correct 8 ms 2648 KB Output is correct
9 Correct 7 ms 2652 KB Output is correct
10 Correct 8 ms 2676 KB Output is correct
11 Correct 8 ms 2648 KB Output is correct
12 Correct 9 ms 2648 KB Output is correct
13 Correct 11 ms 2652 KB Output is correct
14 Correct 11 ms 2652 KB Output is correct
15 Correct 10 ms 2524 KB Output is correct
16 Correct 7 ms 2652 KB Output is correct
17 Correct 8 ms 2684 KB Output is correct

Subtask #2
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 543 ms 7340 KB Output is correct
2 Correct 628 ms 7256 KB Output is correct
3 Correct 557 ms 7116 KB Output is correct
4 Correct 578 ms 7116 KB Output is correct
5 Correct 559 ms 7068 KB Output is correct
6 Correct 664 ms 7308 KB Output is correct
7 Correct 618 ms 7504 KB Output is correct
8 Correct 635 ms 7252 KB Output is correct
9 Correct 26 ms 3160 KB Output is correct
10 Correct 453 ms 7464 KB Output is correct
11 Correct 400 ms 7176 KB Output is correct
12 Correct 449 ms 7616 KB Output is correct
13 Correct 444 ms 6716 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 408 ms 5956 KB Output is correct
2 Correct 252 ms 4276 KB Output is correct
3 Correct 425 ms 6144 KB Output is correct
4 Correct 393 ms 5972 KB Output is correct
5 Correct 26 ms 3164 KB Output is correct
6 Correct 428 ms 5972 KB Output is correct
7 Correct 376 ms 5716 KB Output is correct
8 Correct 346 ms 5716 KB Output is correct
9 Correct 299 ms 5828 KB Output is correct
10 Correct 275 ms 5712 KB Output is correct
11 Correct 336 ms 5584 KB Output is correct
12 Correct 302 ms 5588 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 846 ms 10880 KB Output is correct
2 Correct 26 ms 3164 KB Output is correct
3 Correct 97 ms 9296 KB Output is correct
4 Correct 76 ms 9184 KB Output is correct
5 Correct 710 ms 10664 KB Output is correct
6 Correct 759 ms 10744 KB Output is correct
7 Correct 731 ms 10732 KB Output is correct
8 Correct 340 ms 7252 KB Output is correct
9 Correct 343 ms 6820 KB Output is correct
10 Correct 350 ms 6880 KB Output is correct
11 Correct 574 ms 8508 KB Output is correct
12 Correct 584 ms 8696 KB Output is correct
13 Correct 594 ms 9140 KB Output is correct
14 Correct 754 ms 11096 KB Output is correct
15 Correct 730 ms 11276 KB Output is correct
16 Correct 932 ms 10736 KB Output is correct
17 Correct 840 ms 10548 KB Output is correct
18 Correct 925 ms 10472 KB Output is correct
19 Correct 811 ms 10564 KB Output is correct
20 Correct 678 ms 9492 KB Output is correct
21 Correct 699 ms 9552 KB Output is correct
22 Correct 753 ms 10300 KB Output is correct
23 Correct 608 ms 9496 KB Output is correct

Subtask #5
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 543 ms 7340 KB Output is correct
2 Correct 628 ms 7256 KB Output is correct
3 Correct 557 ms 7116 KB Output is correct
4 Correct 578 ms 7116 KB Output is correct
5 Correct 559 ms 7068 KB Output is correct
6 Correct 664 ms 7308 KB Output is correct
7 Correct 618 ms 7504 KB Output is correct
8 Correct 635 ms 7252 KB Output is correct
9 Correct 26 ms 3160 KB Output is correct
10 Correct 453 ms 7464 KB Output is correct
11 Correct 400 ms 7176 KB Output is correct
12 Correct 449 ms 7616 KB Output is correct
13 Correct 444 ms 6716 KB Output is correct
14 Correct 408 ms 5956 KB Output is correct
15 Correct 252 ms 4276 KB Output is correct
16 Correct 425 ms 6144 KB Output is correct
17 Correct 393 ms 5972 KB Output is correct
18 Correct 26 ms 3164 KB Output is correct
19 Correct 428 ms 5972 KB Output is correct
20 Correct 376 ms 5716 KB Output is correct
21 Correct 346 ms 5716 KB Output is correct
22 Correct 299 ms 5828 KB Output is correct
23 Correct 275 ms 5712 KB Output is correct
24 Correct 336 ms 5584 KB Output is correct
25 Correct 302 ms 5588 KB Output is correct
26 Correct 501 ms 7200 KB Output is correct
27 Correct 592 ms 7324 KB Output is correct
28 Correct 565 ms 7284 KB Output is correct
29 Correct 452 ms 6940 KB Output is correct
30 Correct 573 ms 7128 KB Output is correct
31 Correct 586 ms 7256 KB Output is correct
32 Correct 628 ms 7520 KB Output is correct
33 Correct 563 ms 7176 KB Output is correct
34 Correct 607 ms 7064 KB Output is correct
35 Correct 575 ms 6996 KB Output is correct
36 Correct 476 ms 7508 KB Output is correct
37 Correct 474 ms 7240 KB Output is correct
38 Correct 480 ms 6968 KB Output is correct
39 Correct 392 ms 7188 KB Output is correct
40 Correct 387 ms 6852 KB Output is correct
41 Correct 415 ms 7000 KB Output is correct
42 Correct 405 ms 6876 KB Output is correct
43 Correct 390 ms 6740 KB Output is correct
44 Correct 392 ms 7156 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2392 KB Output is correct
2 Correct 0 ms 2392 KB Output is correct
3 Correct 14 ms 2908 KB Output is correct
4 Correct 3 ms 2396 KB Output is correct
5 Correct 8 ms 2652 KB Output is correct
6 Correct 7 ms 2636 KB Output is correct
7 Correct 7 ms 2696 KB Output is correct
8 Correct 8 ms 2648 KB Output is correct
9 Correct 7 ms 2652 KB Output is correct
10 Correct 8 ms 2676 KB Output is correct
11 Correct 8 ms 2648 KB Output is correct
12 Correct 9 ms 2648 KB Output is correct
13 Correct 11 ms 2652 KB Output is correct
14 Correct 11 ms 2652 KB Output is correct
15 Correct 10 ms 2524 KB Output is correct
16 Correct 7 ms 2652 KB Output is correct
17 Correct 8 ms 2684 KB Output is correct
18 Correct 543 ms 7340 KB Output is correct
19 Correct 628 ms 7256 KB Output is correct
20 Correct 557 ms 7116 KB Output is correct
21 Correct 578 ms 7116 KB Output is correct
22 Correct 559 ms 7068 KB Output is correct
23 Correct 664 ms 7308 KB Output is correct
24 Correct 618 ms 7504 KB Output is correct
25 Correct 635 ms 7252 KB Output is correct
26 Correct 26 ms 3160 KB Output is correct
27 Correct 453 ms 7464 KB Output is correct
28 Correct 400 ms 7176 KB Output is correct
29 Correct 449 ms 7616 KB Output is correct
30 Correct 444 ms 6716 KB Output is correct
31 Correct 408 ms 5956 KB Output is correct
32 Correct 252 ms 4276 KB Output is correct
33 Correct 425 ms 6144 KB Output is correct
34 Correct 393 ms 5972 KB Output is correct
35 Correct 26 ms 3164 KB Output is correct
36 Correct 428 ms 5972 KB Output is correct
37 Correct 376 ms 5716 KB Output is correct
38 Correct 346 ms 5716 KB Output is correct
39 Correct 299 ms 5828 KB Output is correct
40 Correct 275 ms 5712 KB Output is correct
41 Correct 336 ms 5584 KB Output is correct
42 Correct 302 ms 5588 KB Output is correct
43 Correct 846 ms 10880 KB Output is correct
44 Correct 26 ms 3164 KB Output is correct
45 Correct 97 ms 9296 KB Output is correct
46 Correct 76 ms 9184 KB Output is correct
47 Correct 710 ms 10664 KB Output is correct
48 Correct 759 ms 10744 KB Output is correct
49 Correct 731 ms 10732 KB Output is correct
50 Correct 340 ms 7252 KB Output is correct
51 Correct 343 ms 6820 KB Output is correct
52 Correct 350 ms 6880 KB Output is correct
53 Correct 574 ms 8508 KB Output is correct
54 Correct 584 ms 8696 KB Output is correct
55 Correct 594 ms 9140 KB Output is correct
56 Correct 754 ms 11096 KB Output is correct
57 Correct 730 ms 11276 KB Output is correct
58 Correct 932 ms 10736 KB Output is correct
59 Correct 840 ms 10548 KB Output is correct
60 Correct 925 ms 10472 KB Output is correct
61 Correct 811 ms 10564 KB Output is correct
62 Correct 678 ms 9492 KB Output is correct
63 Correct 699 ms 9552 KB Output is correct
64 Correct 753 ms 10300 KB Output is correct
65 Correct 608 ms 9496 KB Output is correct
66 Correct 501 ms 7200 KB Output is correct
67 Correct 592 ms 7324 KB Output is correct
68 Correct 565 ms 7284 KB Output is correct
69 Correct 452 ms 6940 KB Output is correct
70 Correct 573 ms 7128 KB Output is correct
71 Correct 586 ms 7256 KB Output is correct
72 Correct 628 ms 7520 KB Output is correct
73 Correct 563 ms 7176 KB Output is correct
74 Correct 607 ms 7064 KB Output is correct
75 Correct 575 ms 6996 KB Output is correct
76 Correct 476 ms 7508 KB Output is correct
77 Correct 474 ms 7240 KB Output is correct
78 Correct 480 ms 6968 KB Output is correct
79 Correct 392 ms 7188 KB Output is correct
80 Correct 387 ms 6852 KB Output is correct
81 Correct 415 ms 7000 KB Output is correct
82 Correct 405 ms 6876 KB Output is correct
83 Correct 390 ms 6740 KB Output is correct
84 Correct 392 ms 7156 KB Output is correct
85 Correct 1093 ms 10956 KB Output is correct
86 Correct 114 ms 9552 KB Output is correct
87 Correct 86 ms 9796 KB Output is correct
88 Correct 1132 ms 11392 KB Output is correct
89 Correct 1029 ms 11216 KB Output is correct
90 Correct 1067 ms 10992 KB Output is correct
91 Correct 573 ms 7504 KB Output is correct
92 Correct 591 ms 7116 KB Output is correct
93 Correct 637 ms 7196 KB Output is correct
94 Correct 786 ms 9032 KB Output is correct
95 Correct 799 ms 8988 KB Output is correct
96 Correct 1043 ms 9096 KB Output is correct
97 Correct 1230 ms 10724 KB Output is correct
98 Correct 849 ms 10792 KB Output is correct
99 Correct 1046 ms 10700 KB Output is correct
100 Correct 1148 ms 10924 KB Output is correct
101 Correct 1338 ms 10956 KB Output is correct
102 Correct 1000 ms 10692 KB Output is correct
103 Correct 907 ms 9720 KB Output is correct
104 Correct 896 ms 9836 KB Output is correct
105 Correct 762 ms 9308 KB Output is correct
106 Correct 649 ms 8396 KB Output is correct
107 Correct 806 ms 9716 KB Output is correct
108 Correct 973 ms 10604 KB Output is correct
109 Correct 769 ms 9728 KB Output is correct