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Submission #872336

# Submission time Handle Problem Language Result Execution time Memory
872336 2023-11-12T22:16:19 Z ttamx Bridges (APIO19_bridges) C++14
100 / 100
 1706 ms 13964 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=320;

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 2396 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 11 ms 2652 KB Output is correct
4 Correct 3 ms 2396 KB Output is correct
5 Correct 7 ms 2648 KB Output is correct
6 Correct 6 ms 2396 KB Output is correct
7 Correct 7 ms 2608 KB Output is correct
8 Correct 8 ms 2392 KB Output is correct
9 Correct 7 ms 2652 KB Output is correct
10 Correct 8 ms 2396 KB Output is correct
11 Correct 8 ms 2392 KB Output is correct
12 Correct 8 ms 2652 KB Output is correct
13 Correct 10 ms 2640 KB Output is correct
14 Correct 9 ms 2616 KB Output is correct
15 Correct 9 ms 2396 KB Output is correct
16 Correct 7 ms 2624 KB Output is correct
17 Correct 7 ms 2652 KB Output is correct

Subtask #2
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 704 ms 6924 KB Output is correct
2 Correct 747 ms 6752 KB Output is correct
3 Correct 722 ms 6844 KB Output is correct
4 Correct 742 ms 7024 KB Output is correct
5 Correct 745 ms 6996 KB Output is correct
6 Correct 753 ms 7412 KB Output is correct
7 Correct 767 ms 7656 KB Output is correct
8 Correct 777 ms 7056 KB Output is correct
9 Correct 29 ms 2908 KB Output is correct
10 Correct 521 ms 6868 KB Output is correct
11 Correct 540 ms 6860 KB Output is correct
12 Correct 668 ms 7232 KB Output is correct
13 Correct 683 ms 6832 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 479 ms 5464 KB Output is correct
2 Correct 213 ms 3924 KB Output is correct
3 Correct 487 ms 6012 KB Output is correct
4 Correct 470 ms 5520 KB Output is correct
5 Correct 25 ms 2908 KB Output is correct
6 Correct 506 ms 5684 KB Output is correct
7 Correct 479 ms 5628 KB Output is correct
8 Correct 449 ms 5460 KB Output is correct
9 Correct 420 ms 5676 KB Output is correct
10 Correct 427 ms 5676 KB Output is correct
11 Correct 437 ms 5456 KB Output is correct
12 Correct 421 ms 5468 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1516 ms 10812 KB Output is correct
2 Correct 26 ms 3096 KB Output is correct
3 Correct 164 ms 9340 KB Output is correct
4 Correct 112 ms 9316 KB Output is correct
5 Correct 1401 ms 10764 KB Output is correct
6 Correct 1447 ms 10672 KB Output is correct
7 Correct 1460 ms 10616 KB Output is correct
8 Correct 618 ms 6860 KB Output is correct
9 Correct 603 ms 6824 KB Output is correct
10 Correct 625 ms 6916 KB Output is correct
11 Correct 1072 ms 8924 KB Output is correct
12 Correct 1006 ms 8768 KB Output is correct
13 Correct 1142 ms 8736 KB Output is correct
14 Correct 1351 ms 10568 KB Output is correct
15 Correct 1359 ms 11088 KB Output is correct
16 Correct 1588 ms 10476 KB Output is correct
17 Correct 1526 ms 10588 KB Output is correct
18 Correct 1591 ms 10596 KB Output is correct
19 Correct 1532 ms 10696 KB Output is correct
20 Correct 1252 ms 9644 KB Output is correct
21 Correct 1311 ms 9444 KB Output is correct
22 Correct 1587 ms 10268 KB Output is correct
23 Correct 1224 ms 9108 KB Output is correct

Subtask #5
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 704 ms 6924 KB Output is correct
2 Correct 747 ms 6752 KB Output is correct
3 Correct 722 ms 6844 KB Output is correct
4 Correct 742 ms 7024 KB Output is correct
5 Correct 745 ms 6996 KB Output is correct
6 Correct 753 ms 7412 KB Output is correct
7 Correct 767 ms 7656 KB Output is correct
8 Correct 777 ms 7056 KB Output is correct
9 Correct 29 ms 2908 KB Output is correct
10 Correct 521 ms 6868 KB Output is correct
11 Correct 540 ms 6860 KB Output is correct
12 Correct 668 ms 7232 KB Output is correct
13 Correct 683 ms 6832 KB Output is correct
14 Correct 479 ms 5464 KB Output is correct
15 Correct 213 ms 3924 KB Output is correct
16 Correct 487 ms 6012 KB Output is correct
17 Correct 470 ms 5520 KB Output is correct
18 Correct 25 ms 2908 KB Output is correct
19 Correct 506 ms 5684 KB Output is correct
20 Correct 479 ms 5628 KB Output is correct
21 Correct 449 ms 5460 KB Output is correct
22 Correct 420 ms 5676 KB Output is correct
23 Correct 427 ms 5676 KB Output is correct
24 Correct 437 ms 5456 KB Output is correct
25 Correct 421 ms 5468 KB Output is correct
26 Correct 694 ms 7168 KB Output is correct
27 Correct 769 ms 6996 KB Output is correct
28 Correct 805 ms 6740 KB Output is correct
29 Correct 703 ms 6880 KB Output is correct
30 Correct 797 ms 7000 KB Output is correct
31 Correct 816 ms 6996 KB Output is correct
32 Correct 801 ms 6812 KB Output is correct
33 Correct 749 ms 6728 KB Output is correct
34 Correct 755 ms 7016 KB Output is correct
35 Correct 756 ms 7048 KB Output is correct
36 Correct 721 ms 7092 KB Output is correct
37 Correct 687 ms 7092 KB Output is correct
38 Correct 730 ms 6848 KB Output is correct
39 Correct 643 ms 6708 KB Output is correct
40 Correct 645 ms 6848 KB Output is correct
41 Correct 641 ms 6872 KB Output is correct
42 Correct 603 ms 6848 KB Output is correct
43 Correct 603 ms 6664 KB Output is correct
44 Correct 580 ms 6780 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2396 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 11 ms 2652 KB Output is correct
4 Correct 3 ms 2396 KB Output is correct
5 Correct 7 ms 2648 KB Output is correct
6 Correct 6 ms 2396 KB Output is correct
7 Correct 7 ms 2608 KB Output is correct
8 Correct 8 ms 2392 KB Output is correct
9 Correct 7 ms 2652 KB Output is correct
10 Correct 8 ms 2396 KB Output is correct
11 Correct 8 ms 2392 KB Output is correct
12 Correct 8 ms 2652 KB Output is correct
13 Correct 10 ms 2640 KB Output is correct
14 Correct 9 ms 2616 KB Output is correct
15 Correct 9 ms 2396 KB Output is correct
16 Correct 7 ms 2624 KB Output is correct
17 Correct 7 ms 2652 KB Output is correct
18 Correct 704 ms 6924 KB Output is correct
19 Correct 747 ms 6752 KB Output is correct
20 Correct 722 ms 6844 KB Output is correct
21 Correct 742 ms 7024 KB Output is correct
22 Correct 745 ms 6996 KB Output is correct
23 Correct 753 ms 7412 KB Output is correct
24 Correct 767 ms 7656 KB Output is correct
25 Correct 777 ms 7056 KB Output is correct
26 Correct 29 ms 2908 KB Output is correct
27 Correct 521 ms 6868 KB Output is correct
28 Correct 540 ms 6860 KB Output is correct
29 Correct 668 ms 7232 KB Output is correct
30 Correct 683 ms 6832 KB Output is correct
31 Correct 479 ms 5464 KB Output is correct
32 Correct 213 ms 3924 KB Output is correct
33 Correct 487 ms 6012 KB Output is correct
34 Correct 470 ms 5520 KB Output is correct
35 Correct 25 ms 2908 KB Output is correct
36 Correct 506 ms 5684 KB Output is correct
37 Correct 479 ms 5628 KB Output is correct
38 Correct 449 ms 5460 KB Output is correct
39 Correct 420 ms 5676 KB Output is correct
40 Correct 427 ms 5676 KB Output is correct
41 Correct 437 ms 5456 KB Output is correct
42 Correct 421 ms 5468 KB Output is correct
43 Correct 1516 ms 10812 KB Output is correct
44 Correct 26 ms 3096 KB Output is correct
45 Correct 164 ms 9340 KB Output is correct
46 Correct 112 ms 9316 KB Output is correct
47 Correct 1401 ms 10764 KB Output is correct
48 Correct 1447 ms 10672 KB Output is correct
49 Correct 1460 ms 10616 KB Output is correct
50 Correct 618 ms 6860 KB Output is correct
51 Correct 603 ms 6824 KB Output is correct
52 Correct 625 ms 6916 KB Output is correct
53 Correct 1072 ms 8924 KB Output is correct
54 Correct 1006 ms 8768 KB Output is correct
55 Correct 1142 ms 8736 KB Output is correct
56 Correct 1351 ms 10568 KB Output is correct
57 Correct 1359 ms 11088 KB Output is correct
58 Correct 1588 ms 10476 KB Output is correct
59 Correct 1526 ms 10588 KB Output is correct
60 Correct 1591 ms 10596 KB Output is correct
61 Correct 1532 ms 10696 KB Output is correct
62 Correct 1252 ms 9644 KB Output is correct
63 Correct 1311 ms 9444 KB Output is correct
64 Correct 1587 ms 10268 KB Output is correct
65 Correct 1224 ms 9108 KB Output is correct
66 Correct 694 ms 7168 KB Output is correct
67 Correct 769 ms 6996 KB Output is correct
68 Correct 805 ms 6740 KB Output is correct
69 Correct 703 ms 6880 KB Output is correct
70 Correct 797 ms 7000 KB Output is correct
71 Correct 816 ms 6996 KB Output is correct
72 Correct 801 ms 6812 KB Output is correct
73 Correct 749 ms 6728 KB Output is correct
74 Correct 755 ms 7016 KB Output is correct
75 Correct 756 ms 7048 KB Output is correct
76 Correct 721 ms 7092 KB Output is correct
77 Correct 687 ms 7092 KB Output is correct
78 Correct 730 ms 6848 KB Output is correct
79 Correct 643 ms 6708 KB Output is correct
80 Correct 645 ms 6848 KB Output is correct
81 Correct 641 ms 6872 KB Output is correct
82 Correct 603 ms 6848 KB Output is correct
83 Correct 603 ms 6664 KB Output is correct
84 Correct 580 ms 6780 KB Output is correct
85 Correct 1611 ms 10868 KB Output is correct
86 Correct 216 ms 11480 KB Output is correct
87 Correct 122 ms 11268 KB Output is correct
88 Correct 1539 ms 12780 KB Output is correct
89 Correct 1617 ms 13964 KB Output is correct
90 Correct 1468 ms 12876 KB Output is correct
91 Correct 765 ms 9368 KB Output is correct
92 Correct 736 ms 9428 KB Output is correct
93 Correct 813 ms 9300 KB Output is correct
94 Correct 1186 ms 11624 KB Output is correct
95 Correct 1162 ms 11640 KB Output is correct
96 Correct 1205 ms 11936 KB Output is correct
97 Correct 1355 ms 13040 KB Output is correct
98 Correct 1439 ms 12896 KB Output is correct
99 Correct 1552 ms 13664 KB Output is correct
100 Correct 1706 ms 13636 KB Output is correct
101 Correct 1605 ms 13756 KB Output is correct
102 Correct 1580 ms 13732 KB Output is correct
103 Correct 1340 ms 12372 KB Output is correct
104 Correct 1416 ms 12360 KB Output is correct
105 Correct 1323 ms 12476 KB Output is correct
106 Correct 1133 ms 11852 KB Output is correct
107 Correct 1254 ms 12636 KB Output is correct
108 Correct 1558 ms 13364 KB Output is correct
109 Correct 1247 ms 11368 KB Output is correct