oj.uz

Submission #734342

# Submission time Handle Problem Language Result Execution time Memory
734342 2023-05-02T09:50:21 Z bin9638 Road Closures (APIO21_roads) C++17
31 / 100
 2000 ms 25780 KB 
#include <bits/stdc++.h>

#ifndef SKY
#include "roads.h"
#endif // SKY

using namespace std;

#define N 100010
#define ll long long
#define fs first
#define sc second
#define ii pair<ll,int>
#define pb push_back

#pragma GCC optimize("Ofast")
#pragma GCC optimize("inline")
#pragma GCC optimize("omit-frame-pointer")
#pragma GCC optimize("unroll-loops")

const ll MAX_VAL=2e14;

int cnt,BLOCKS,k,n,ktr[N],spec[N];
vector<ii>g[N],edge[N];
ll tong,them,cost[N],dp[N][2];
vector<ll>sum[N];
vector<int>lis;

struct nho
{
    void build(int u,int p)
    {
        for(auto v:g[u])
            if(v.sc!=p)
            {
                build(v.sc,u);
                cost[v.sc]=v.fs;
            }
    }

    ll solve(int u,int p,int sl,const vector<ll>&s)
    {

        if(sl<0)
            return MAX_VAL;
        ll res=0;
        for(auto v:g[u])
            if(v.sc!=p)
                if(dp[v.sc][0]<=dp[v.sc][1])
                {
                    res+=dp[v.sc][0];
                }else
                {
                    res+=dp[v.sc][1];
                }
        for(int i=0;i<(int)s.size()-sl;i++)
            res+=s[i];
        return res;
    }

    void DFS(int u,int p)
    {
        for(auto v:g[u])
            if(v.sc!=p)
                DFS(v.sc,u);
        vector<ll>s;
        for(auto v:g[u])
            if(v.sc!=p&&dp[v.sc][0]>dp[v.sc][1])
                s.pb(dp[v.sc][0]-dp[v.sc][1]);
        if((int)s.size()>k-(u!=0))
            sort(s.begin(),s.end());
        //0
        dp[u][0]=solve(u,p,k,s)+cost[u];
        //1
        dp[u][1]=solve(u,p,k-(u!=0),s);
    }
}nho;

ll get(int u,int sl)
{
    if(sl>=sum[u].size())
        return 0;
    if(sl==0)
        return sum[u].back();
    return sum[u].back()-sum[u][sl-1];
}

ll solve(int u,int p,int sl,const vector<ll>&s)
{
    if(sl<0)
        return MAX_VAL;
    ll cong=0,res=MAX_VAL;
    for(auto v:edge[u])
        if(v.sc!=p)
        {
             if(dp[v.sc][0]<=dp[v.sc][1])
                {
                    cong+=dp[v.sc][0];
                }else
                {
                    cong+=dp[v.sc][1];
                }
        }
    if((int)s.size()<=sl)
        res=min(res,cong+get(u,sl-(int)s.size()));
    for(int i=0;i<s.size();i++)
    {
        cong+=s[i];
        if((int)s.size()-i-1<=sl)
            res=min(res,cong+get(u,sl-((int)s.size()-i-1)));
        if(sl-((int)s.size()-i-1)>=sum[u].size())
            break;
    }
    return res;
}

void DFS(int u,int p)
{
    ktr[u]=k;
    for(auto v:edge[u])
        if(v.sc!=p)
        {
            cost[v.sc]=v.fs;
            DFS(v.sc,u);
        }
    vector<ll>s;
    for(auto v:edge[u])
        if(v.sc!=p&&dp[v.sc][0]>dp[v.sc][1])
            s.pb(dp[v.sc][0]-dp[v.sc][1]);
    if((int)s.size()+(int)sum[u].size()>k-(p!=-1))
        sort(s.begin(),s.end());
    //0
    dp[u][0]=solve(u,p,k,s)+cost[u];
    //1
    dp[u][1]=solve(u,p,k-(p!=-1),s);
}

vector<long long> minimum_closure_costs(int NNN, vector<int> UUU, vector<int> VVV, vector<int> WWW)
{
    n=NNN;
    for(int i=0;i<n-1;i++)
    {
        int u=UUU[i],v=VVV[i],w=WWW[i];
        g[u].pb({w,v});
        g[v].pb({w,u});
    }
    cost[0]=1e18;
    nho.build(0,-1);
    vector<ll>kq;
    BLOCKS=sqrt(n);
    BLOCKS=min(BLOCKS,200);
      for(int i=0;i<n;i++)
        spec[i]=((int)g[i].size()>BLOCKS);
    for(int i=0;i<n-1;i++)
    {
        int u=UUU[i],v=VVV[i],w=WWW[i];
        tong+=1ll*w;
        if((int)g[u].size()<(int)g[v].size())
            swap(u,v);
        if(spec[u]&&spec[v])
        {
            edge[u].pb({w,v});
            edge[v].pb({w,u});
            cnt++;
            continue;
        }
        if(spec[u])
        {
            sum[u].pb(w);
            continue;
        }
        them+=1ll*w;
    }
    assert(cnt<=BLOCKS);
    for(k=0;k<=BLOCKS;k++)
    {
        nho.DFS(0,-1);
        kq.pb(dp[0][1]);
    }
    for(int i=0;i<n;i++)
    {
        sort(sum[i].begin(),sum[i].end(),greater<ll>());
        for(int j=1;j<sum[i].size();j++)
            sum[i][j]+=sum[i][j-1];
    }
    for(int i=0;i<n;i++)
        if(spec[i]==1)
            lis.pb(i);
    memset(cost,0x3f3f,sizeof(cost));
    for(k=BLOCKS+1;k<n;k++)
    {
        ll res=0;
        for(auto u:lis)
            if(ktr[u]!=k)
                DFS(u,-1),res+=dp[u][1];
        kq.pb(res);
    }
    return kq;
}

#ifdef SKY
int main()
{
    freopen("A.inp","r",stdin);
    freopen("A.out","w",stdout);
    ios::sync_with_stdio(0);
    cin.tie(NULL);
    cout.tie(NULL);
    int n;
    cin>>n;
    vector<int>U(n-1),V(n-1),W(n-1);
    for(int i=0;i<n-1;i++)
        cin>>U[i]>>V[i]>>W[i];
    vector<ll>kq=minimum_closure_costs(n,U,V,W);
    for(auto u:kq)cout<<u<<" ";
    return 0;
}
#endif

Compilation message

roads.cpp: In member function 'long long int nho::solve(int, int, int, const std::vector<long long int>&)':
roads.cpp:48:15: warning: suggest explicit braces to avoid ambiguous 'else' [-Wdangling-else]
   48 |             if(v.sc!=p)
      |               ^
roads.cpp: In function 'long long int get(int, int)':
roads.cpp:81:10: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   81 |     if(sl>=sum[u].size())
      |        ~~^~~~~~~~~~~~~~~
roads.cpp: In function 'long long int solve(int, int, int, const std::vector<long long int>&)':
roads.cpp:106:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  106 |     for(int i=0;i<s.size();i++)
      |                 ~^~~~~~~~~
roads.cpp:111:34: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  111 |         if(sl-((int)s.size()-i-1)>=sum[u].size())
      |            ~~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~
roads.cpp: In function 'std::vector<long long int> minimum_closure_costs(int, std::vector<int>, std::vector<int>, std::vector<int>)':
roads.cpp:183:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  183 |         for(int j=1;j<sum[i].size();j++)
      |                     ~^~~~~~~~~~~~~~

Subtask #1
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 8128 KB Output is correct
2 Correct 13 ms 8312 KB Output is correct
3 Correct 13 ms 8396 KB Output is correct
4 Correct 10 ms 8404 KB Output is correct
5 Correct 6 ms 8148 KB Output is correct
6 Correct 5 ms 8148 KB Output is correct
7 Correct 5 ms 8132 KB Output is correct
8 Correct 11 ms 8376 KB Output is correct
9 Correct 12 ms 8396 KB Output is correct
10 Correct 5 ms 8148 KB Output is correct
11 Correct 6 ms 8128 KB Output is correct
12 Correct 945 ms 15340 KB Output is correct
13 Execution timed out 2047 ms 20364 KB Time limit exceeded
14 Halted 0 ms 0 KB -

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 8020 KB Output is correct
2 Correct 1209 ms 22952 KB Output is correct
3 Correct 1417 ms 24620 KB Output is correct
4 Correct 1510 ms 25716 KB Output is correct
5 Correct 1575 ms 25780 KB Output is correct
6 Correct 11 ms 8396 KB Output is correct
7 Correct 15 ms 8508 KB Output is correct
8 Correct 11 ms 8404 KB Output is correct
9 Correct 5 ms 8180 KB Output is correct
10 Correct 7 ms 8148 KB Output is correct
11 Correct 5 ms 8164 KB Output is correct
12 Correct 951 ms 18628 KB Output is correct
13 Correct 1582 ms 25724 KB Output is correct
14 Correct 5 ms 8132 KB Output is correct
15 Correct 1234 ms 24028 KB Output is correct
16 Correct 1574 ms 25736 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 8148 KB Output is correct
2 Correct 5 ms 8148 KB Output is correct
3 Correct 5 ms 8148 KB Output is correct
4 Correct 5 ms 8132 KB Output is correct
5 Correct 5 ms 8128 KB Output is correct
6 Correct 5 ms 8148 KB Output is correct
7 Correct 6 ms 8148 KB Output is correct
8 Correct 5 ms 8148 KB Output is correct
9 Correct 5 ms 8148 KB Output is correct
10 Correct 6 ms 8132 KB Output is correct
11 Correct 6 ms 8148 KB Output is correct
12 Correct 8 ms 8148 KB Output is correct
13 Correct 5 ms 8132 KB Output is correct
14 Correct 5 ms 8136 KB Output is correct
15 Correct 8 ms 8148 KB Output is correct
16 Correct 7 ms 8148 KB Output is correct
17 Correct 6 ms 8148 KB Output is correct
18 Correct 5 ms 8148 KB Output is correct
19 Correct 5 ms 8148 KB Output is correct
20 Correct 7 ms 8172 KB Output is correct
21 Correct 6 ms 8208 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 8148 KB Output is correct
2 Correct 5 ms 8148 KB Output is correct
3 Correct 5 ms 8148 KB Output is correct
4 Correct 5 ms 8132 KB Output is correct
5 Correct 5 ms 8128 KB Output is correct
6 Correct 5 ms 8148 KB Output is correct
7 Correct 6 ms 8148 KB Output is correct
8 Correct 5 ms 8148 KB Output is correct
9 Correct 5 ms 8148 KB Output is correct
10 Correct 6 ms 8132 KB Output is correct
11 Correct 6 ms 8148 KB Output is correct
12 Correct 8 ms 8148 KB Output is correct
13 Correct 5 ms 8132 KB Output is correct
14 Correct 5 ms 8136 KB Output is correct
15 Correct 8 ms 8148 KB Output is correct
16 Correct 7 ms 8148 KB Output is correct
17 Correct 6 ms 8148 KB Output is correct
18 Correct 5 ms 8148 KB Output is correct
19 Correct 5 ms 8148 KB Output is correct
20 Correct 7 ms 8172 KB Output is correct
21 Correct 6 ms 8208 KB Output is correct
22 Correct 6 ms 8132 KB Output is correct
23 Correct 12 ms 8292 KB Output is correct
24 Correct 16 ms 8404 KB Output is correct
25 Correct 16 ms 8292 KB Output is correct
26 Correct 15 ms 8404 KB Output is correct
27 Correct 16 ms 8456 KB Output is correct
28 Correct 12 ms 8436 KB Output is correct
29 Correct 18 ms 8304 KB Output is correct
30 Correct 18 ms 8444 KB Output is correct
31 Correct 18 ms 8396 KB Output is correct
32 Correct 11 ms 8396 KB Output is correct
33 Correct 10 ms 8396 KB Output is correct
34 Correct 14 ms 8436 KB Output is correct
35 Correct 12 ms 8472 KB Output is correct
36 Correct 14 ms 8400 KB Output is correct
37 Correct 15 ms 8396 KB Output is correct
38 Correct 12 ms 8416 KB Output is correct
39 Correct 7 ms 8148 KB Output is correct
40 Correct 6 ms 8148 KB Output is correct
41 Correct 5 ms 8148 KB Output is correct
42 Correct 6 ms 8148 KB Output is correct
43 Correct 8 ms 8124 KB Output is correct
44 Correct 7 ms 8148 KB Output is correct
45 Correct 8 ms 8128 KB Output is correct
46 Correct 8 ms 8148 KB Output is correct
47 Correct 8 ms 8116 KB Output is correct
48 Correct 6 ms 8148 KB Output is correct
49 Correct 9 ms 8148 KB Output is correct
50 Correct 6 ms 8136 KB Output is correct
51 Correct 7 ms 8148 KB Output is correct
52 Correct 5 ms 8148 KB Output is correct
53 Correct 12 ms 8284 KB Output is correct
54 Correct 16 ms 8276 KB Output is correct
55 Correct 14 ms 8396 KB Output is correct
56 Correct 9 ms 8276 KB Output is correct
57 Correct 11 ms 8400 KB Output is correct
58 Correct 5 ms 8128 KB Output is correct
59 Correct 7 ms 8148 KB Output is correct
60 Correct 7 ms 8148 KB Output is correct
61 Correct 6 ms 8132 KB Output is correct
62 Correct 7 ms 8132 KB Output is correct
63 Correct 7 ms 8020 KB Output is correct
64 Correct 16 ms 8276 KB Output is correct
65 Correct 14 ms 8368 KB Output is correct
66 Correct 11 ms 8404 KB Output is correct
67 Correct 13 ms 8400 KB Output is correct
68 Correct 16 ms 8404 KB Output is correct

Subtask #5
0 / 17.0

# Verdict Execution time Memory Grader output
1 Execution timed out 2079 ms 18720 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #6
0 / 25.0

# Verdict Execution time Memory Grader output
1 Execution timed out 2079 ms 18720 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #7
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 8128 KB Output is correct
2 Correct 13 ms 8312 KB Output is correct
3 Correct 13 ms 8396 KB Output is correct
4 Correct 10 ms 8404 KB Output is correct
5 Correct 6 ms 8148 KB Output is correct
6 Correct 5 ms 8148 KB Output is correct
7 Correct 5 ms 8132 KB Output is correct
8 Correct 11 ms 8376 KB Output is correct
9 Correct 12 ms 8396 KB Output is correct
10 Correct 5 ms 8148 KB Output is correct
11 Correct 6 ms 8128 KB Output is correct
12 Correct 945 ms 15340 KB Output is correct
13 Execution timed out 2047 ms 20364 KB Time limit exceeded
14 Halted 0 ms 0 KB -