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Submission #932690

# Submission time Handle Problem Language Result Execution time Memory
932690 2024-02-24T03:14:42 Z HuyQuang_re_Zero Highway Tolls (IOI18_highway) C++14
100 / 100
 249 ms 24960 KB 
#include <bits/stdc++.h>
#define ll long long
#define db long double
#define maxn 200005
#define II pair <ll,ll>
#define III pair <ll,II>
#define IV pair <vector <int>,vector <int> >
#define IDB pair <db,int>
#define TII pair <treap*,treap*>
#define fst first
#define snd second
#define BIT(x,i) ((x>>i)&1)
#define pi acos(-1)
#define to_radian(x) (x*pi/180.0)
#define to_degree(x) (x*180.0/pi)
#define Log(x) (31-__builtin_clz((int)x))
#define LogLL(x) (63-__builtin_clzll((ll)x)
#include "highway.h"
using namespace std;
struct Interactive
{
    ll f[maxn],n,m,i,u,v,k,s,t,A,B;
    vector <int> U,V;
    vector <II> a[maxn];
    void Init(int _n,int _m,vector <int> _U,vector <int> _V,int _A,int _B,int _s,int _t)
    {
        n=_n; m=_m; U=_U; V=_V; A=_A; B=_B; s=_s; t=_t;

        s++; t++;
        for(i=0;i<m;i++) U[i]++,V[i]++;
    }
    ll Dijkstra(vector <int> status)
    {
        for(u=1;u<=n;u++) a[u].clear();
        for(i=0;i<m;i++)
        {
            u=U[i]; v=V[i];
            if(status[i]==0) k=A; else k=B;
            a[u].push_back({ v,k }); a[v].push_back({ u,k });
        }
        for(u=1;u<=n;u++) f[u]=round(1e18);
        set <II> h;
        f[s]=0; h.insert({ 0,s });
        while(h.size()>0)
        {
            int u=h.begin()->snd; h.erase(h.begin());
            for(II adj:a[u])
            {
                int v=adj.fst,k=adj.snd;
                if(f[v]>f[u]+k)
                {
                    h.erase({ f[v],v });
                    f[v]=f[u]+k;
                    h.insert({ f[v],v });
                }
            }
        }
        return f[t];
    }
} IR;

//ll ask(vector <int> Status) { return IR.Dijkstra(Status); }
//void answer(int s,int t) { cout<<s<<" "<<t<<'\n'; }

vector <int> Deleted;
vector <II> a[maxn];
ll best_cost,best_len;
int fx[maxn],fs[maxn],i,u,v,x,node[maxn],m;
void find_pair(int n,vector <int> U,vector <int> V,int A,int B)
{
    m=U.size();
    function <ll(vector <int>)> Try_to_Delete=[&](vector <int> Try)
    {
        vector <int> status(m);
        for(int x:Deleted) status[x]=1;
        for(int x:Try) status[x]=1;
        return ask(status);
    };
    for(i=0;i<m;i++)
    {
        u=++U[i]; v=++V[i];
        a[u].push_back({ v,i }); a[v].push_back({ u,i });
    }

    /////////////////////////////////////////////////////////////////////////////////////
    //Find x
    vector <int> vec;
    best_cost=Try_to_Delete(vec);
    best_len=best_cost/A;
    int l=0,r=m-1,s,t;
    while(l<r)
    {
        int mid=(l+r)>>1;
     //   cerr<<l<<" "<<r<<" "<<mid<<'\n';
        vector <int> vec;
        for(i=0;i<=mid;i++) vec.push_back(i);
        if(Try_to_Delete(vec)>best_cost) r=mid; else l=mid+1;
    }
   // cerr<<l<<'\n';
    for(i=0;i<l;i++) Deleted.push_back(i);
    x=U[l];



    ////////////////////////////////////////////////////////////////////////////////////
    //Find s
    auto BFS=[&](int s,int f[])
    {
        for(int u=1;u<=n;u++) f[u]=round(1e9);
        queue <int> q;
        q.push(s); f[s]=0;
        while(q.size()>0)
        {
            int u=q.front(); q.pop();
         //   if(s==2) cerr<<u<<'\n';
            for(II adj:a[u])
            {
                int v=adj.fst,x=adj.snd;
                if(f[v]>f[u]+1)
                    q.push(v),f[v]=f[u]+1;
            }
        }
    };
 //   cerr<<x<<'\n';
    BFS(x,fx);
    for(i=1;i<=n;i++) node[i]=i;
    sort(node+1,node+n+1,[&](int u,int v){ return fx[u]>fx[v]; });
 //  for(i=1;i<=n;i++) cerr<<node[i]<<'\n';
    l=1; r=n;
    while(l<r)
    {
        int mid=(l+r)>>1;
        vector <int> vec;
        for(i=1;i<=mid;i++)
        {
            u=node[i];
            for(II adj:a[u])
                if(fx[u]==fx[adj.fst]+1) vec.push_back(adj.snd);
        }
        if(Try_to_Delete(vec)>best_cost) r=mid; else l=mid+1;
    }
    s=node[l];


    ///////////////////////////////////////////////////////////////////////////////////////////
    //Find t
    BFS(s,fs);
 //   cerr<<fx[2]<<" "<<fx[4]<<" "<<fs[4]<<" "<<best_len<<'\n';
    vector <int> candidates;
    for(u=1;u<=n;u++)
        if(fx[s]+fx[u]==fs[u] && fs[u]==best_len)
            candidates.push_back(u);

    l=0; r=candidates.size()-1;
    while(l<r)
    {
        int mid=(l+r)>>1;
        vector <int> vec;
        for(i=0;i<=mid;i++)
        {
            u=candidates[i];
            for(II adj:a[u])
                if(fx[u]==fx[adj.fst]+1) vec.push_back(adj.snd);
        }
        if(Try_to_Delete(vec)>best_cost) r=mid; else l=mid+1;
    }
    t=candidates[l];

    answer(s-1,t-1);
}
/*
int main()
{
    freopen("highway.inp","r",stdin);
    freopen("highway.out","w",stdout);
    int n,m,A,B,s,t,u,v;
    vector <int> U,V;
    cin>>n>>m>>A>>B>>s>>t;
    for(int i=0;i<m;i++) cin>>u>>v,U.push_back(u),V.push_back(v);
    IR.Init(n,U,V,A,B,s,t);
    find_pair(n,m,U,V,A,B);
}
*/

Compilation message

highway.cpp: In lambda function:
highway.cpp:118:31: warning: unused variable 'x' [-Wunused-variable]
  118 |                 int v=adj.fst,x=adj.snd;
      |                               ^

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 13400 KB Output is correct
2 Correct 3 ms 13400 KB Output is correct
3 Correct 3 ms 13400 KB Output is correct
4 Correct 4 ms 13400 KB Output is correct
5 Correct 3 ms 13400 KB Output is correct
6 Correct 3 ms 13400 KB Output is correct
7 Correct 3 ms 13400 KB Output is correct
8 Correct 3 ms 13400 KB Output is correct
9 Correct 3 ms 13588 KB Output is correct
10 Correct 3 ms 13400 KB Output is correct
11 Correct 3 ms 13588 KB Output is correct
12 Correct 3 ms 13400 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 13648 KB Output is correct
2 Correct 15 ms 14696 KB Output is correct
3 Correct 129 ms 20840 KB Output is correct
4 Correct 111 ms 20760 KB Output is correct
5 Correct 101 ms 20832 KB Output is correct
6 Correct 147 ms 20876 KB Output is correct
7 Correct 108 ms 20880 KB Output is correct
8 Correct 132 ms 21300 KB Output is correct
9 Correct 144 ms 21540 KB Output is correct
10 Correct 106 ms 21172 KB Output is correct
11 Correct 148 ms 21292 KB Output is correct
12 Correct 134 ms 20936 KB Output is correct
13 Correct 141 ms 20940 KB Output is correct
14 Correct 162 ms 20936 KB Output is correct

Subtask #3
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 14444 KB Output is correct
2 Correct 19 ms 15220 KB Output is correct
3 Correct 41 ms 16244 KB Output is correct
4 Correct 129 ms 20732 KB Output is correct
5 Correct 125 ms 20996 KB Output is correct
6 Correct 78 ms 20364 KB Output is correct
7 Correct 97 ms 21656 KB Output is correct
8 Correct 93 ms 20508 KB Output is correct
9 Correct 97 ms 21732 KB Output is correct

Subtask #4
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 13652 KB Output is correct
2 Correct 14 ms 14412 KB Output is correct
3 Correct 125 ms 20284 KB Output is correct
4 Correct 171 ms 21240 KB Output is correct
5 Correct 128 ms 21412 KB Output is correct
6 Correct 136 ms 21228 KB Output is correct
7 Correct 164 ms 21304 KB Output is correct
8 Correct 187 ms 21280 KB Output is correct
9 Correct 119 ms 20888 KB Output is correct
10 Correct 135 ms 21188 KB Output is correct
11 Correct 121 ms 20968 KB Output is correct
12 Correct 122 ms 20924 KB Output is correct
13 Correct 174 ms 20900 KB Output is correct
14 Correct 120 ms 20756 KB Output is correct
15 Correct 167 ms 21596 KB Output is correct
16 Correct 138 ms 21460 KB Output is correct
17 Correct 136 ms 20868 KB Output is correct
18 Correct 144 ms 21168 KB Output is correct
19 Correct 136 ms 21444 KB Output is correct
20 Correct 185 ms 21068 KB Output is correct
21 Correct 89 ms 21420 KB Output is correct
22 Correct 95 ms 21660 KB Output is correct
23 Correct 144 ms 21776 KB Output is correct
24 Correct 129 ms 20824 KB Output is correct
25 Correct 109 ms 20640 KB Output is correct

Subtask #5
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 14440 KB Output is correct
2 Correct 18 ms 14624 KB Output is correct
3 Correct 106 ms 21400 KB Output is correct
4 Correct 139 ms 22620 KB Output is correct
5 Correct 249 ms 24960 KB Output is correct
6 Correct 210 ms 24432 KB Output is correct
7 Correct 203 ms 24644 KB Output is correct
8 Correct 146 ms 24056 KB Output is correct
9 Correct 164 ms 23624 KB Output is correct
10 Correct 143 ms 24856 KB Output is correct
11 Correct 167 ms 23800 KB Output is correct
12 Correct 201 ms 24120 KB Output is correct
13 Correct 183 ms 24000 KB Output is correct
14 Correct 218 ms 24364 KB Output is correct
15 Correct 229 ms 24552 KB Output is correct
16 Correct 149 ms 23844 KB Output is correct
17 Correct 113 ms 20680 KB Output is correct
18 Correct 91 ms 21248 KB Output is correct
19 Correct 87 ms 20716 KB Output is correct
20 Correct 105 ms 20688 KB Output is correct
21 Correct 230 ms 24760 KB Output is correct

Subtask #6
31.0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 14556 KB Output is correct
2 Correct 20 ms 14764 KB Output is correct
3 Correct 148 ms 22108 KB Output is correct
4 Correct 155 ms 22488 KB Output is correct
5 Correct 187 ms 22688 KB Output is correct
6 Correct 224 ms 24652 KB Output is correct
7 Correct 140 ms 21976 KB Output is correct
8 Correct 151 ms 22300 KB Output is correct
9 Correct 206 ms 23300 KB Output is correct
10 Correct 205 ms 24948 KB Output is correct
11 Correct 230 ms 24068 KB Output is correct
12 Correct 200 ms 24628 KB Output is correct
13 Correct 180 ms 24156 KB Output is correct
14 Correct 127 ms 24556 KB Output is correct
15 Correct 153 ms 24064 KB Output is correct
16 Correct 121 ms 24612 KB Output is correct
17 Correct 203 ms 24116 KB Output is correct
18 Correct 151 ms 24456 KB Output is correct
19 Correct 184 ms 24324 KB Output is correct
20 Correct 212 ms 24480 KB Output is correct
21 Correct 223 ms 24328 KB Output is correct
22 Correct 184 ms 24364 KB Output is correct
23 Correct 218 ms 24060 KB Output is correct
24 Correct 234 ms 24176 KB Output is correct
25 Correct 231 ms 24480 KB Output is correct
26 Correct 182 ms 24328 KB Output is correct
27 Correct 91 ms 21068 KB Output is correct
28 Correct 123 ms 21092 KB Output is correct
29 Correct 105 ms 21448 KB Output is correct
30 Correct 132 ms 20572 KB Output is correct
31 Correct 97 ms 21232 KB Output is correct
32 Correct 98 ms 20704 KB Output is correct
33 Correct 118 ms 21572 KB Output is correct
34 Correct 87 ms 20740 KB Output is correct
35 Correct 135 ms 21320 KB Output is correct
36 Correct 84 ms 20324 KB Output is correct
37 Correct 97 ms 21188 KB Output is correct
38 Correct 101 ms 21280 KB Output is correct
39 Correct 200 ms 24188 KB Output is correct
40 Correct 219 ms 24424 KB Output is correct
41 Correct 163 ms 23732 KB Output is correct
42 Correct 205 ms 24624 KB Output is correct