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Submission #1093906

# Submission time Handle Problem Language Result Execution time Memory
1093906 2024-09-28T04:45:21 Z azberjibiou Simurgh (IOI17_simurgh) C++17
100 / 100
 110 ms 8388 KB 
#include "simurgh.h"
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
#define all(v) v.begin(), v.end()
#define pb push_back
#define lb lower_bound
#define gibon ios::sync_with_stdio(false); cin.tie(0);
#define fi first
#define se second
#define pii pair<int, int>
#define pll pair<ll, ll>
typedef long long ll;
using namespace std;
const int mxN=505;
const int mxM=10000;
const int mxK=60;
const ll INF=1e18;
struct uf{
    int p[mxN];
    void init(int n){for(int i=0;i<n;i++) p[i]=i;}
    int fp(int a){return p[a]==a ? a : p[a]=fp(p[a]);}
    void mrg(int a, int b){p[fp(a)]=fp(b);}
};
int N;
vector <int> v[mxN];
vector <pii> E;
int num[mxN][mxN];
int gold[mxN][mxN];
//dfs
bool Chk[mxN];
int dep[mxN], par[mxN];
vector <int> sub[mxN];
vector <int> tree;
void init(){
    for(int i=0;i<mxN;i++) v[i].clear();
    E.clear();
    for(int i=0;i<mxN;i++) for(int j=0;j<mxN;j++) num[i][j]=-1, gold[i][j]=-1;
    for(int i=0;i<mxN;i++) Chk[i]=false, dep[i]=0, par[i]=0, sub[i].clear();
    tree.clear();
}
void dfs(int now){
    Chk[now]=true;
    sub[now].push_back(now);
    for(int nxt : v[now]) if(!Chk[nxt]){
        dep[nxt]=dep[now]+1;
        par[nxt]=now;
        tree.push_back(num[nxt][now]);
        dfs(nxt);
        for(int x : sub[nxt]) sub[now].push_back(x);
    }
}
uf U_qry;
int make_query(vector <int> qry, bool proc){ // qry does not have a cycle!, proc: remove value of edges out of qry
    vector <int> res=qry;
    U_qry.init(N);
    for(int x : qry) U_qry.mrg(E[x].fi, E[x].se);
    for(int x : tree){
        auto [now1, now2]=E[x];
        if(U_qry.fp(now1)!=U_qry.fp(now2)){
            res.push_back(x);
            U_qry.mrg(now1, now2);
        }
    }
    int val=count_common_roads(res);
    if(proc){
        for(int i=qry.size();i<res.size();i++){
            auto [now1, now2]=E[res[i]];
            if(gold[now1][now2]==1) val--;
        }
    }
    return val;
}
vector <int> minu(vector <int> gph, int x){
    vector <int> res;
    for(int y : gph) if(y!=x) res.push_back(y);
    return res;
}
void check_cycle(vector <int> cyc){
    vector <int> qres(cyc.size(), -1);
    for(int i=0;i<cyc.size();i++){
        auto [now1, now2]=E[cyc[i]];
        if(gold[now1][now2]==-1) qres[i]=make_query(minu(cyc, cyc[i]), false);
    }
    int know=-1, tot=-1;
    for(int x : cyc) if(gold[E[x].fi][E[x].se]!=-1) know=x;
    if(know!=-1){
        tot=make_query(minu(cyc, know), false)+gold[E[know].fi][E[know].se];
    }
    else {
        int maxi=-1, mini=1'000'000;
        for(int i=0;i<cyc.size();i++) maxi=max(maxi, qres[i]), mini=min(mini, qres[i]);
        bool same=(maxi==mini);
        if(same) tot=maxi;
        else{
            int sum=0;
            for(int i=0;i<cyc.size();i++) sum+=qres[i];
            tot=sum/cyc.size()+1;
        }
    }
    for(int i=0;i<cyc.size();i++){
        auto [now1, now2]=E[cyc[i]];
        if(gold[now1][now2]==-1){
            if(qres[i]==tot) gold[now1][now2]=gold[now2][now1]=0;
            else gold[now1][now2]=gold[now2][now1]=1;
        }
    }
}void make_spanning_tree(){
    dfs(0);
    for(int ednum : tree){
        auto [now1, now2]=E[ednum];
        if(dep[now1]>dep[now2]) swap(now1, now2);
        if(gold[now1][now2]!=-1) continue;
        int down=-1, up=-1;
        for(int x : sub[now2]) for(int y : v[x]) if(dep[y]<=dep[now1] && (x!=now2 || y!=now1)) down=x, up=y;
        if(up==-1){
            gold[now1][now2]=gold[now2][now1]=1;
            continue;
        }
        vector <int> cyc;
        int pnt=down;
        while(pnt!=up){
            cyc.push_back(num[pnt][par[pnt]]);
            pnt=par[pnt];
        }
        cyc.push_back(num[down][up]);
        check_cycle(cyc);
    }
}
vector <int> rng(vector <int> s, pii lr){
    vector <int> res;
    for(int i=lr.fi;i<=lr.se;i++) res.push_back(s[i]);
    return res;
}
void find_gold(){
    for(int i=0;i<N;i++){
        vector <int> ct;
        for(int j=i+1;j<N;j++){
            if(num[i][j]!=-1 && gold[i][j]==-1) ct.push_back(num[i][j]);
        }
        while(ct.size() && make_query(ct, true)!=0){
            int s=0, e=ct.size()-1;
            while(s!=e){
                int mid=(s+e)/2;
                if(make_query(rng(ct, pii(s, mid)), true)==0) s=mid+1;
                else e=mid;
            }
            auto [now1, now2]=E[ct[s]];
            gold[now1][now2]=gold[now2][now1]=1;
            ct=minu(ct, ct[s]);
        }
    }
}
std::vector<int> find_roads(int n, std::vector<int> a, std::vector<int> b) {
    N=n;
    init();
    for(int i=0;i<a.size();i++){
        int t1=a[i], t2=b[i];
        v[t1].push_back(t2);
        v[t2].push_back(t1);
        E.emplace_back(t1, t2);
        num[t1][t2]=num[t2][t1]=i;
    }
    make_spanning_tree();
    find_gold();
	vector<int> r;
    for(int i=0;i<N;i++) for(int j=i+1;j<N;j++) if(gold[i][j]==1) r.push_back(num[i][j]);
    return r;
}

Compilation message

simurgh.cpp: In function 'int make_query(std::vector<int>, bool)':
simurgh.cpp:67:31: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   67 |         for(int i=qry.size();i<res.size();i++){
      |                              ~^~~~~~~~~~~
simurgh.cpp: In function 'void check_cycle(std::vector<int>)':
simurgh.cpp:81:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   81 |     for(int i=0;i<cyc.size();i++){
      |                 ~^~~~~~~~~~~
simurgh.cpp:92:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   92 |         for(int i=0;i<cyc.size();i++) maxi=max(maxi, qres[i]), mini=min(mini, qres[i]);
      |                     ~^~~~~~~~~~~
simurgh.cpp:97:26: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   97 |             for(int i=0;i<cyc.size();i++) sum+=qres[i];
      |                         ~^~~~~~~~~~~
simurgh.cpp:101:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  101 |     for(int i=0;i<cyc.size();i++){
      |                 ~^~~~~~~~~~~
simurgh.cpp: In function 'std::vector<int> find_roads(int, std::vector<int>, std::vector<int>)':
simurgh.cpp:157:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  157 |     for(int i=0;i<a.size();i++){
      |                 ~^~~~~~~~~

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB correct
2 Correct 1 ms 2396 KB correct
3 Correct 1 ms 2396 KB correct
4 Correct 1 ms 2392 KB correct
5 Correct 1 ms 2396 KB correct
6 Correct 1 ms 2396 KB correct
7 Correct 1 ms 2396 KB correct
8 Correct 1 ms 2396 KB correct
9 Correct 1 ms 2260 KB correct
10 Correct 1 ms 2392 KB correct
11 Correct 2 ms 2396 KB correct
12 Correct 1 ms 2396 KB correct
13 Correct 1 ms 2256 KB correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB correct
2 Correct 1 ms 2396 KB correct
3 Correct 1 ms 2396 KB correct
4 Correct 1 ms 2392 KB correct
5 Correct 1 ms 2396 KB correct
6 Correct 1 ms 2396 KB correct
7 Correct 1 ms 2396 KB correct
8 Correct 1 ms 2396 KB correct
9 Correct 1 ms 2260 KB correct
10 Correct 1 ms 2392 KB correct
11 Correct 2 ms 2396 KB correct
12 Correct 1 ms 2396 KB correct
13 Correct 1 ms 2256 KB correct
14 Correct 2 ms 2392 KB correct
15 Correct 2 ms 2396 KB correct
16 Correct 2 ms 2396 KB correct
17 Correct 2 ms 2284 KB correct
18 Correct 1 ms 2396 KB correct
19 Correct 2 ms 2396 KB correct
20 Correct 2 ms 2396 KB correct
21 Correct 2 ms 2396 KB correct
22 Correct 2 ms 2396 KB correct
23 Correct 1 ms 2396 KB correct
24 Correct 1 ms 2396 KB correct
25 Correct 2 ms 2392 KB correct
26 Correct 2 ms 2392 KB correct
27 Correct 1 ms 2396 KB correct
28 Correct 1 ms 2484 KB correct
29 Correct 1 ms 2396 KB correct
30 Correct 1 ms 2396 KB correct
31 Correct 1 ms 2396 KB correct
32 Correct 1 ms 2392 KB correct
33 Correct 1 ms 2396 KB correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB correct
2 Correct 1 ms 2396 KB correct
3 Correct 1 ms 2396 KB correct
4 Correct 1 ms 2392 KB correct
5 Correct 1 ms 2396 KB correct
6 Correct 1 ms 2396 KB correct
7 Correct 1 ms 2396 KB correct
8 Correct 1 ms 2396 KB correct
9 Correct 1 ms 2260 KB correct
10 Correct 1 ms 2392 KB correct
11 Correct 2 ms 2396 KB correct
12 Correct 1 ms 2396 KB correct
13 Correct 1 ms 2256 KB correct
14 Correct 2 ms 2392 KB correct
15 Correct 2 ms 2396 KB correct
16 Correct 2 ms 2396 KB correct
17 Correct 2 ms 2284 KB correct
18 Correct 1 ms 2396 KB correct
19 Correct 2 ms 2396 KB correct
20 Correct 2 ms 2396 KB correct
21 Correct 2 ms 2396 KB correct
22 Correct 2 ms 2396 KB correct
23 Correct 1 ms 2396 KB correct
24 Correct 1 ms 2396 KB correct
25 Correct 2 ms 2392 KB correct
26 Correct 2 ms 2392 KB correct
27 Correct 1 ms 2396 KB correct
28 Correct 1 ms 2484 KB correct
29 Correct 1 ms 2396 KB correct
30 Correct 1 ms 2396 KB correct
31 Correct 1 ms 2396 KB correct
32 Correct 1 ms 2392 KB correct
33 Correct 1 ms 2396 KB correct
34 Correct 23 ms 3800 KB correct
35 Correct 22 ms 3800 KB correct
36 Correct 20 ms 3544 KB correct
37 Correct 8 ms 2648 KB correct
38 Correct 23 ms 3688 KB correct
39 Correct 21 ms 3544 KB correct
40 Correct 22 ms 3540 KB correct
41 Correct 20 ms 3796 KB correct
42 Correct 20 ms 3844 KB correct
43 Correct 11 ms 3416 KB correct
44 Correct 10 ms 2912 KB correct
45 Correct 10 ms 3164 KB correct
46 Correct 14 ms 3064 KB correct
47 Correct 8 ms 2652 KB correct
48 Correct 3 ms 2392 KB correct
49 Correct 6 ms 2684 KB correct
50 Correct 8 ms 2824 KB correct
51 Correct 11 ms 2980 KB correct
52 Correct 12 ms 2908 KB correct
53 Correct 10 ms 2908 KB correct
54 Correct 12 ms 3160 KB correct
55 Correct 10 ms 3160 KB correct
56 Correct 10 ms 3160 KB correct
57 Correct 10 ms 3164 KB correct

Subtask #4
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB correct
2 Correct 1 ms 2396 KB correct
3 Correct 65 ms 6320 KB correct
4 Correct 98 ms 8136 KB correct
5 Correct 101 ms 8132 KB correct
6 Correct 96 ms 8144 KB correct
7 Correct 88 ms 8144 KB correct
8 Correct 96 ms 8388 KB correct
9 Correct 103 ms 8144 KB correct
10 Correct 99 ms 8144 KB correct
11 Correct 96 ms 8136 KB correct
12 Correct 100 ms 8140 KB correct
13 Correct 1 ms 2396 KB correct
14 Correct 96 ms 8144 KB correct
15 Correct 106 ms 8140 KB correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB correct
2 Correct 1 ms 2396 KB correct
3 Correct 1 ms 2396 KB correct
4 Correct 1 ms 2392 KB correct
5 Correct 1 ms 2396 KB correct
6 Correct 1 ms 2396 KB correct
7 Correct 1 ms 2396 KB correct
8 Correct 1 ms 2396 KB correct
9 Correct 1 ms 2260 KB correct
10 Correct 1 ms 2392 KB correct
11 Correct 2 ms 2396 KB correct
12 Correct 1 ms 2396 KB correct
13 Correct 1 ms 2256 KB correct
14 Correct 2 ms 2392 KB correct
15 Correct 2 ms 2396 KB correct
16 Correct 2 ms 2396 KB correct
17 Correct 2 ms 2284 KB correct
18 Correct 1 ms 2396 KB correct
19 Correct 2 ms 2396 KB correct
20 Correct 2 ms 2396 KB correct
21 Correct 2 ms 2396 KB correct
22 Correct 2 ms 2396 KB correct
23 Correct 1 ms 2396 KB correct
24 Correct 1 ms 2396 KB correct
25 Correct 2 ms 2392 KB correct
26 Correct 2 ms 2392 KB correct
27 Correct 1 ms 2396 KB correct
28 Correct 1 ms 2484 KB correct
29 Correct 1 ms 2396 KB correct
30 Correct 1 ms 2396 KB correct
31 Correct 1 ms 2396 KB correct
32 Correct 1 ms 2392 KB correct
33 Correct 1 ms 2396 KB correct
34 Correct 23 ms 3800 KB correct
35 Correct 22 ms 3800 KB correct
36 Correct 20 ms 3544 KB correct
37 Correct 8 ms 2648 KB correct
38 Correct 23 ms 3688 KB correct
39 Correct 21 ms 3544 KB correct
40 Correct 22 ms 3540 KB correct
41 Correct 20 ms 3796 KB correct
42 Correct 20 ms 3844 KB correct
43 Correct 11 ms 3416 KB correct
44 Correct 10 ms 2912 KB correct
45 Correct 10 ms 3164 KB correct
46 Correct 14 ms 3064 KB correct
47 Correct 8 ms 2652 KB correct
48 Correct 3 ms 2392 KB correct
49 Correct 6 ms 2684 KB correct
50 Correct 8 ms 2824 KB correct
51 Correct 11 ms 2980 KB correct
52 Correct 12 ms 2908 KB correct
53 Correct 10 ms 2908 KB correct
54 Correct 12 ms 3160 KB correct
55 Correct 10 ms 3160 KB correct
56 Correct 10 ms 3160 KB correct
57 Correct 10 ms 3164 KB correct
58 Correct 1 ms 2396 KB correct
59 Correct 1 ms 2396 KB correct
60 Correct 65 ms 6320 KB correct
61 Correct 98 ms 8136 KB correct
62 Correct 101 ms 8132 KB correct
63 Correct 96 ms 8144 KB correct
64 Correct 88 ms 8144 KB correct
65 Correct 96 ms 8388 KB correct
66 Correct 103 ms 8144 KB correct
67 Correct 99 ms 8144 KB correct
68 Correct 96 ms 8136 KB correct
69 Correct 100 ms 8140 KB correct
70 Correct 1 ms 2396 KB correct
71 Correct 96 ms 8144 KB correct
72 Correct 106 ms 8140 KB correct
73 Correct 1 ms 2392 KB correct
74 Correct 96 ms 8148 KB correct
75 Correct 99 ms 7884 KB correct
76 Correct 53 ms 4820 KB correct
77 Correct 99 ms 8148 KB correct
78 Correct 101 ms 8144 KB correct
79 Correct 99 ms 8144 KB correct
80 Correct 98 ms 8028 KB correct
81 Correct 88 ms 7372 KB correct
82 Correct 110 ms 7888 KB correct
83 Correct 78 ms 5588 KB correct
84 Correct 47 ms 6348 KB correct
85 Correct 46 ms 5840 KB correct
86 Correct 38 ms 4868 KB correct
87 Correct 35 ms 4308 KB correct
88 Correct 32 ms 3800 KB correct
89 Correct 33 ms 3932 KB correct
90 Correct 32 ms 3544 KB correct
91 Correct 21 ms 2652 KB correct
92 Correct 9 ms 2396 KB correct
93 Correct 44 ms 6100 KB correct
94 Correct 39 ms 4820 KB correct
95 Correct 39 ms 4816 KB correct
96 Correct 31 ms 3796 KB correct
97 Correct 38 ms 3796 KB correct
98 Correct 34 ms 4416 KB correct
99 Correct 32 ms 3800 KB correct
100 Correct 23 ms 3160 KB correct
101 Correct 12 ms 2908 KB correct
102 Correct 44 ms 5720 KB correct
103 Correct 45 ms 5560 KB correct
104 Correct 43 ms 5584 KB correct
105 Correct 47 ms 5584 KB correct