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Submission #1016299

# Submission time Handle Problem Language Result Execution time Memory
1016299 2024-07-07T17:30:51 Z hotboy2703 Simurgh (IOI17_simurgh) C++17
100 / 100
 103 ms 6744 KB 
#include "simurgh.h"

#include<bits/stdc++.h>
using namespace std;
using ll = int;
#define pll pair <ll,ll>
#define fi first
#define se second
#define MP make_pair
#define sz(a) (ll((a).size()))
#define BIT(mask,i) (((mask) >> (i))&1)
#define MASK(i) (1LL << (i))
namespace TRUNG{
    const ll MAXN = 510;
    ll n,m;
    ll ans[MAXN*MAXN];
    vector <pll> g[MAXN];
    bool sus[MAXN*MAXN];
    ll in[MAXN],out[MAXN];
    ll timeDFS;
    vector <pll> a;
    ll cnt_query;
    void dfs(ll u,ll p){
        in[u] = ++timeDFS;
        for (auto tmp:g[u]){
            ll v = tmp.fi,id = tmp.se;
            if (v==p)continue;
            dfs(v,u);
        }
        out[u] = timeDFS;
    }
    bool sus_edge(ll i,ll j){
        ll x = a[i].fi;
        if (in[a[i].se] > in[x])x = a[i].se;
//        cout<<i<<' '<<j<<' '<<x<<endl;
        if ((in[x] <= in[a[j].fi] && in[a[j].fi] <= out[x])+(in[x] <= in[a[j].se] && in[a[j].se] <= out[x])==1)return 1;
        return 0;
    }

    namespace DSU{
        ll dsu[MAXN];
        void init(){
            memset(dsu,-1,sizeof dsu);
        }
        ll f(ll x){
            if (dsu[x] < 0)return x;
            return (dsu[x] = f(dsu[x]));
        }
        void join(ll x,ll y){
            x = f(x),y = f(y);
            if (x!=y){
                if (dsu[x] > dsu[y])swap(x,y);
                dsu[x] += dsu[y];
                dsu[y] = x;
            }
        }
    }
    bitset <MAXN> bs[MAXN];
    ll ind[MAXN][MAXN];
    vector <ll> tree,extra;
    ll superior_count(vector <ll> all){
        DSU::init();
        for (auto x:all){
            DSU::join(a[x].fi,a[x].se);
        }
        ll res = 0;
        for (auto x:tree){
            if (DSU::f(a[x].fi) != DSU::f(a[x].se)){
                DSU::join(a[x].fi,a[x].se);
                all.push_back(x);
                res-=ans[x];
            }
        }
        assert(++cnt_query<=8000);
        res += count_common_roads(all);
        return res;
    }
    void solve(vector <ll> all,ll k){
        if (k==0)return;
        if (sz(all) == 1){
            ans[all[0]] = k;
            return;
        }
        ll mid = sz(all) / 2;
        vector <ll> L,R;
        for (ll i = 0;i < sz(all);i ++){
            if (i < mid)L.push_back(all[i]);
            else R.push_back(all[i]);
        }
        ll cnt_L = superior_count(L);
        solve(L,cnt_L);
        solve(R,k-cnt_L);
    }
}
std::vector<int> find_roads(int N, std::vector<int> U, std::vector<int> V) {
    using namespace TRUNG;
    memset(ans,-1,sizeof ans);
    ll m = sz(U),n=N ;
    a.resize(m);
    for (ll i = 0;i < m;i ++)a[i] = MP(U[i],V[i]);
    DSU::init();
    for (ll i = 0;i < m;i ++){
        if (DSU::f(a[i].fi) != DSU::f(a[i].se)){sus[i] = 1;tree.push_back(i);}
        DSU::join(a[i].fi,a[i].se);
    }
    DSU::init();
    for (ll i = 0;i < m;i ++){
        if (sus[i])continue;
        if (DSU::f(a[i].fi) != DSU::f(a[i].se))extra.push_back(i);
        DSU::join(a[i].fi,a[i].se);
    }
    for (auto id:tree){
        g[a[id].fi].push_back(MP(a[id].se,id));
        g[a[id].se].push_back(MP(a[id].fi,id));
    }
    dfs(0,0);
//    cout<<in[4]<<' '<<out[4]<<' '<<in[1]<<' '<<out[1]<<endl;
//    for (auto x:tree)cout<<x<<' ';
//    cout<<'\n';
//    for (auto x:extra)cout<<x<<' ';
//    cout<<'\n';
//    cout<<sus_edge(4,7)<<endl;

    ll cur = count_common_roads(tree);
        assert(++cnt_query<=8000);

    for (auto id:tree){
//        cout<<id<<endl;
        if (ans[id] != -1)continue;
        for (auto x:extra){
            if (sus_edge(id,x)){
//                cout<<"WOW "<<x<<' '<<id<<endl;
                auto cal = [&](ll y){
                    vector <ll> tmp;
                    tree.push_back(x);
                    for (auto sss:tree)if (sss != y)tmp.push_back(sss);
                    tree.pop_back();
                            assert(++cnt_query<=8000);
//                    cout<<"CAL "<<y<<": ";
//                    for (auto z:tmp)cout<<z<<' ';
//                    cout<<endl;
                    ll res = count_common_roads(tmp);
//                    cout<<"VAL "<<res<<endl;
                    return res;
                };
                vector <ll> cycle;
                for (auto y:tree){
                    if (sus_edge(y,x)){
                        cycle.push_back(y);
                    }
                }
//                for (auto y:cycle)cout<<y<<' ';
//                cout<<endl;
                ll sum = -1;
                if (ans[x] != -1)sum = ans[x] + cur;
                for (auto y:cycle){
                    if (ans[y] != -1 && sum == -1){
                        sum = cal(y) + ans[y];
                        break;
                    }
                }
                if (sum==-1){
                    vector <ll> com(sz(cycle));
                    for (ll j = 0;j < sz(cycle);j ++){
                        com[j] = cal(cycle[j]);
                        if (com[j] < cur)sum = cur;
                        if (com[j] > cur)sum = cur+1;
//                        cout<<cycle[j]<<' '<<com[j]<<endl;
                    }
                    if (sum == -1)sum = cur;
                    for (ll j = 0;j < sz(cycle);j ++){
                        ans[cycle[j]] = sum - com[j];
                    }
                    ans[x] = sum - cur;
                }
                else{
                    for (auto y:cycle)if (ans[y] == -1){
                        ans[y] = sum - cal(y);
                    }
                    ans[x] = sum - cur;
                }
                break;
            }
        }
        if (ans[id] == -1)ans[id] = 1;
    }
//    for (ll j = 0;j < m;j ++)cout<<ans[j]<<' ';
//    cout<<endl;
    for (ll j = 0;j < m;j ++){
        pll x = a[j];
        ind[x.fi][x.se]=ind[x.se][x.fi]=j;
        if (ans[j] == -1)bs[x.fi][x.se] = bs[x.se][x.fi] = 1;
    }
    while (true){
        bitset <MAXN> rem;
        rem.set();
        bitset <MAXN> tmp;
        vector <ll> cur;
        for (ll i = 0;i < n;i ++){
            if (rem[i]){
                queue <ll> q;
                q.push(i);
                rem[i] = 0;
                while (!q.empty()){
                    ll u = q.front();
                    q.pop();
                    tmp = rem & bs[u];
                    for (ll v = tmp._Find_first();v < n;v = tmp._Find_next(v)){
                        cur.push_back(ind[u][v]);
                        bs[u][v] = bs[v][u] = 0;
                        q.push(v);
                        rem[v] = 0;
                    }
                }
            }
        }
        if (!sz(cur))break;
//        cout<<sz(cur)<<' '<<cur[0]<<endl;
        solve(cur,superior_count(cur));
    }
    vector <ll> r;
    for (ll i = 0;i < m;i ++)if (ans[i]==1)r.push_back(i);
//    assert(cnt_query<=8000);
//    count_common_roads
    return r;
}

Compilation message

simurgh.cpp: In function 'void TRUNG::dfs(ll, ll)':
simurgh.cpp:26:27: warning: unused variable 'id' [-Wunused-variable]
   26 |             ll v = tmp.fi,id = tmp.se;
      |                           ^~

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB correct
2 Correct 1 ms 2396 KB correct
3 Correct 1 ms 2396 KB correct
4 Correct 1 ms 2396 KB correct
5 Correct 1 ms 2392 KB correct
6 Correct 1 ms 2396 KB correct
7 Correct 0 ms 2396 KB correct
8 Correct 1 ms 2396 KB correct
9 Correct 1 ms 2396 KB correct
10 Correct 1 ms 2396 KB correct
11 Correct 0 ms 2396 KB correct
12 Correct 1 ms 2496 KB correct
13 Correct 1 ms 2396 KB correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB correct
2 Correct 1 ms 2396 KB correct
3 Correct 1 ms 2396 KB correct
4 Correct 1 ms 2396 KB correct
5 Correct 1 ms 2392 KB correct
6 Correct 1 ms 2396 KB correct
7 Correct 0 ms 2396 KB correct
8 Correct 1 ms 2396 KB correct
9 Correct 1 ms 2396 KB correct
10 Correct 1 ms 2396 KB correct
11 Correct 0 ms 2396 KB correct
12 Correct 1 ms 2496 KB correct
13 Correct 1 ms 2396 KB correct
14 Correct 1 ms 2652 KB correct
15 Correct 1 ms 2652 KB correct
16 Correct 1 ms 2652 KB correct
17 Correct 2 ms 2904 KB correct
18 Correct 1 ms 2648 KB correct
19 Correct 1 ms 2652 KB correct
20 Correct 1 ms 2652 KB correct
21 Correct 1 ms 2652 KB correct
22 Correct 1 ms 2652 KB correct
23 Correct 1 ms 2652 KB correct
24 Correct 1 ms 2652 KB correct
25 Correct 1 ms 2652 KB correct
26 Correct 1 ms 2652 KB correct
27 Correct 1 ms 2652 KB correct
28 Correct 1 ms 2652 KB correct
29 Correct 1 ms 2652 KB correct
30 Correct 1 ms 2652 KB correct
31 Correct 1 ms 2652 KB correct
32 Correct 1 ms 2492 KB correct
33 Correct 1 ms 2640 KB correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB correct
2 Correct 1 ms 2396 KB correct
3 Correct 1 ms 2396 KB correct
4 Correct 1 ms 2396 KB correct
5 Correct 1 ms 2392 KB correct
6 Correct 1 ms 2396 KB correct
7 Correct 0 ms 2396 KB correct
8 Correct 1 ms 2396 KB correct
9 Correct 1 ms 2396 KB correct
10 Correct 1 ms 2396 KB correct
11 Correct 0 ms 2396 KB correct
12 Correct 1 ms 2496 KB correct
13 Correct 1 ms 2396 KB correct
14 Correct 1 ms 2652 KB correct
15 Correct 1 ms 2652 KB correct
16 Correct 1 ms 2652 KB correct
17 Correct 2 ms 2904 KB correct
18 Correct 1 ms 2648 KB correct
19 Correct 1 ms 2652 KB correct
20 Correct 1 ms 2652 KB correct
21 Correct 1 ms 2652 KB correct
22 Correct 1 ms 2652 KB correct
23 Correct 1 ms 2652 KB correct
24 Correct 1 ms 2652 KB correct
25 Correct 1 ms 2652 KB correct
26 Correct 1 ms 2652 KB correct
27 Correct 1 ms 2652 KB correct
28 Correct 1 ms 2652 KB correct
29 Correct 1 ms 2652 KB correct
30 Correct 1 ms 2652 KB correct
31 Correct 1 ms 2652 KB correct
32 Correct 1 ms 2492 KB correct
33 Correct 1 ms 2640 KB correct
34 Correct 21 ms 3672 KB correct
35 Correct 20 ms 3672 KB correct
36 Correct 17 ms 3420 KB correct
37 Correct 7 ms 2756 KB correct
38 Correct 20 ms 3516 KB correct
39 Correct 18 ms 3420 KB correct
40 Correct 15 ms 3404 KB correct
41 Correct 20 ms 3684 KB correct
42 Correct 20 ms 3596 KB correct
43 Correct 6 ms 3284 KB correct
44 Correct 6 ms 3164 KB correct
45 Correct 5 ms 3244 KB correct
46 Correct 5 ms 2904 KB correct
47 Correct 3 ms 2920 KB correct
48 Correct 2 ms 2652 KB correct
49 Correct 2 ms 2648 KB correct
50 Correct 3 ms 2904 KB correct
51 Correct 5 ms 3164 KB correct
52 Correct 5 ms 3164 KB correct
53 Correct 5 ms 2904 KB correct
54 Correct 6 ms 3164 KB correct
55 Correct 6 ms 3304 KB correct
56 Correct 5 ms 3164 KB correct
57 Correct 5 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 59 ms 5212 KB correct
4 Correct 95 ms 6664 KB correct
5 Correct 91 ms 6528 KB correct
6 Correct 89 ms 6740 KB correct
7 Correct 57 ms 6488 KB correct
8 Correct 64 ms 6492 KB correct
9 Correct 85 ms 6708 KB correct
10 Correct 87 ms 6736 KB correct
11 Correct 103 ms 6704 KB correct
12 Correct 94 ms 6736 KB correct
13 Correct 1 ms 2392 KB correct
14 Correct 74 ms 6744 KB correct
15 Correct 82 ms 6740 KB correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB correct
2 Correct 1 ms 2396 KB correct
3 Correct 1 ms 2396 KB correct
4 Correct 1 ms 2396 KB correct
5 Correct 1 ms 2392 KB correct
6 Correct 1 ms 2396 KB correct
7 Correct 0 ms 2396 KB correct
8 Correct 1 ms 2396 KB correct
9 Correct 1 ms 2396 KB correct
10 Correct 1 ms 2396 KB correct
11 Correct 0 ms 2396 KB correct
12 Correct 1 ms 2496 KB correct
13 Correct 1 ms 2396 KB correct
14 Correct 1 ms 2652 KB correct
15 Correct 1 ms 2652 KB correct
16 Correct 1 ms 2652 KB correct
17 Correct 2 ms 2904 KB correct
18 Correct 1 ms 2648 KB correct
19 Correct 1 ms 2652 KB correct
20 Correct 1 ms 2652 KB correct
21 Correct 1 ms 2652 KB correct
22 Correct 1 ms 2652 KB correct
23 Correct 1 ms 2652 KB correct
24 Correct 1 ms 2652 KB correct
25 Correct 1 ms 2652 KB correct
26 Correct 1 ms 2652 KB correct
27 Correct 1 ms 2652 KB correct
28 Correct 1 ms 2652 KB correct
29 Correct 1 ms 2652 KB correct
30 Correct 1 ms 2652 KB correct
31 Correct 1 ms 2652 KB correct
32 Correct 1 ms 2492 KB correct
33 Correct 1 ms 2640 KB correct
34 Correct 21 ms 3672 KB correct
35 Correct 20 ms 3672 KB correct
36 Correct 17 ms 3420 KB correct
37 Correct 7 ms 2756 KB correct
38 Correct 20 ms 3516 KB correct
39 Correct 18 ms 3420 KB correct
40 Correct 15 ms 3404 KB correct
41 Correct 20 ms 3684 KB correct
42 Correct 20 ms 3596 KB correct
43 Correct 6 ms 3284 KB correct
44 Correct 6 ms 3164 KB correct
45 Correct 5 ms 3244 KB correct
46 Correct 5 ms 2904 KB correct
47 Correct 3 ms 2920 KB correct
48 Correct 2 ms 2652 KB correct
49 Correct 2 ms 2648 KB correct
50 Correct 3 ms 2904 KB correct
51 Correct 5 ms 3164 KB correct
52 Correct 5 ms 3164 KB correct
53 Correct 5 ms 2904 KB correct
54 Correct 6 ms 3164 KB correct
55 Correct 6 ms 3304 KB correct
56 Correct 5 ms 3164 KB correct
57 Correct 5 ms 3164 KB correct
58 Correct 1 ms 2396 KB correct
59 Correct 1 ms 2396 KB correct
60 Correct 59 ms 5212 KB correct
61 Correct 95 ms 6664 KB correct
62 Correct 91 ms 6528 KB correct
63 Correct 89 ms 6740 KB correct
64 Correct 57 ms 6488 KB correct
65 Correct 64 ms 6492 KB correct
66 Correct 85 ms 6708 KB correct
67 Correct 87 ms 6736 KB correct
68 Correct 103 ms 6704 KB correct
69 Correct 94 ms 6736 KB correct
70 Correct 1 ms 2392 KB correct
71 Correct 74 ms 6744 KB correct
72 Correct 82 ms 6740 KB correct
73 Correct 1 ms 2392 KB correct
74 Correct 91 ms 6724 KB correct
75 Correct 85 ms 6572 KB correct
76 Correct 50 ms 4184 KB correct
77 Correct 88 ms 6736 KB correct
78 Correct 87 ms 6736 KB correct
79 Correct 84 ms 6736 KB correct
80 Correct 88 ms 6744 KB correct
81 Correct 58 ms 5844 KB correct
82 Correct 78 ms 6480 KB correct
83 Correct 79 ms 4692 KB correct
84 Correct 21 ms 4956 KB correct
85 Correct 22 ms 4700 KB correct
86 Correct 17 ms 4188 KB correct
87 Correct 13 ms 3672 KB correct
88 Correct 11 ms 3420 KB correct
89 Correct 12 ms 3376 KB correct
90 Correct 12 ms 3416 KB correct
91 Correct 5 ms 2648 KB correct
92 Correct 4 ms 2652 KB correct
93 Correct 23 ms 4680 KB correct
94 Correct 16 ms 4184 KB correct
95 Correct 14 ms 3932 KB correct
96 Correct 9 ms 3468 KB correct
97 Correct 10 ms 3420 KB correct
98 Correct 12 ms 3676 KB correct
99 Correct 12 ms 3460 KB correct
100 Correct 6 ms 2844 KB correct
101 Correct 6 ms 2652 KB correct
102 Correct 18 ms 4820 KB correct
103 Correct 18 ms 4552 KB correct
104 Correct 18 ms 4596 KB correct
105 Correct 19 ms 4760 KB correct