oj.uz

Submission #734331

# Submission time Handle Problem Language Result Execution time Memory
734331 2023-05-02T09:39:39 Z bin9638 Road Closures (APIO21_roads) C++11
24 / 100
 2000 ms 21072 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)
    {

        if(sl<0)
            return MAX_VAL;
        ll res=0;
        vector<ll>s;
        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];
                    s.pb(dp[v.sc][0]-dp[v.sc][1]);
                }
        if(s.size()>sl)
            sort(s.begin(),s.end());
        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);
        //0
        dp[u][0]=solve(u,p,k)+cost[u];
        //1
        dp[u][1]=solve(u,p,k-(u!=0));
    }
}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)
{
    if(sl<0)
        return MAX_VAL;
    ll cong=0,res=MAX_VAL;
    vector<ll>s;
    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];
                    s.pb(dp[v.sc][0]-dp[v.sc][1]);
                }
        }
    if((int)s.size()+(int)sum[u].size()>sl)
        sort(s.begin(),s.end());
    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);
        }
    //0
    dp[u][0]=solve(u,p,k)+cost[u];
    //1
    dp[u][1]=solve(u,p,k-(p!=-1));
}

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);
      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)':
roads.cpp:49:15: warning: suggest explicit braces to avoid ambiguous 'else' [-Wdangling-else]
   49 |             if(v.sc!=p)
      |               ^
roads.cpp:58:20: warning: comparison of integer expressions of different signedness: 'std::vector<long long int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   58 |         if(s.size()>sl)
      |            ~~~~~~~~^~~
roads.cpp: In function 'long long int get(int, int)':
roads.cpp:79:10: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   79 |     if(sl>=sum[u].size())
      |        ~~^~~~~~~~~~~~~~~
roads.cpp: In function 'long long int solve(int, int, int)':
roads.cpp:108:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  108 |     for(int i=0;i<s.size();i++)
      |                 ~^~~~~~~~~
roads.cpp:113:34: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  113 |         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:178:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  178 |         for(int j=1;j<sum[i].size();j++)
      |                     ~^~~~~~~~~~~~~~

Subtask #1
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 8144 KB Output is correct
2 Correct 14 ms 8368 KB Output is correct
3 Correct 14 ms 8384 KB Output is correct
4 Correct 8 ms 8392 KB Output is correct
5 Correct 4 ms 8148 KB Output is correct
6 Correct 5 ms 8148 KB Output is correct
7 Correct 5 ms 8148 KB Output is correct
8 Correct 11 ms 8268 KB Output is correct
9 Correct 13 ms 8268 KB Output is correct
10 Correct 5 ms 8136 KB Output is correct
11 Correct 5 ms 8156 KB Output is correct
12 Correct 1192 ms 15216 KB Output is correct
13 Execution timed out 2077 ms 20156 KB Time limit exceeded
14 Halted 0 ms 0 KB -

Subtask #2
0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 8020 KB Output is correct
2 Correct 1969 ms 20808 KB Output is correct
3 Execution timed out 2070 ms 21072 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 8020 KB Output is correct
2 Correct 4 ms 8020 KB Output is correct
3 Correct 4 ms 8148 KB Output is correct
4 Correct 6 ms 8148 KB Output is correct
5 Correct 7 ms 8148 KB Output is correct
6 Correct 5 ms 8148 KB Output is correct
7 Correct 5 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 4 ms 8148 KB Output is correct
11 Correct 5 ms 8148 KB Output is correct
12 Correct 5 ms 8148 KB Output is correct
13 Correct 5 ms 8148 KB Output is correct
14 Correct 4 ms 8148 KB Output is correct
15 Correct 4 ms 8148 KB Output is correct
16 Correct 6 ms 8040 KB Output is correct
17 Correct 5 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 5 ms 8168 KB Output is correct
21 Correct 4 ms 8048 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 8020 KB Output is correct
2 Correct 4 ms 8020 KB Output is correct
3 Correct 4 ms 8148 KB Output is correct
4 Correct 6 ms 8148 KB Output is correct
5 Correct 7 ms 8148 KB Output is correct
6 Correct 5 ms 8148 KB Output is correct
7 Correct 5 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 4 ms 8148 KB Output is correct
11 Correct 5 ms 8148 KB Output is correct
12 Correct 5 ms 8148 KB Output is correct
13 Correct 5 ms 8148 KB Output is correct
14 Correct 4 ms 8148 KB Output is correct
15 Correct 4 ms 8148 KB Output is correct
16 Correct 6 ms 8040 KB Output is correct
17 Correct 5 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 5 ms 8168 KB Output is correct
21 Correct 4 ms 8048 KB Output is correct
22 Correct 4 ms 8020 KB Output is correct
23 Correct 10 ms 8276 KB Output is correct
24 Correct 15 ms 8340 KB Output is correct
25 Correct 13 ms 8276 KB Output is correct
26 Correct 15 ms 8364 KB Output is correct
27 Correct 14 ms 8392 KB Output is correct
28 Correct 11 ms 8384 KB Output is correct
29 Correct 14 ms 8276 KB Output is correct
30 Correct 21 ms 8396 KB Output is correct
31 Correct 15 ms 8276 KB Output is correct
32 Correct 11 ms 8276 KB Output is correct
33 Correct 11 ms 8404 KB Output is correct
34 Correct 12 ms 8416 KB Output is correct
35 Correct 11 ms 8404 KB Output is correct
36 Correct 13 ms 8280 KB Output is correct
37 Correct 12 ms 8404 KB Output is correct
38 Correct 8 ms 8404 KB Output is correct
39 Correct 5 ms 8020 KB Output is correct
40 Correct 5 ms 8020 KB Output is correct
41 Correct 5 ms 8160 KB Output is correct
42 Correct 4 ms 8148 KB Output is correct
43 Correct 5 ms 8148 KB Output is correct
44 Correct 6 ms 8148 KB Output is correct
45 Correct 5 ms 8148 KB Output is correct
46 Correct 5 ms 8096 KB Output is correct
47 Correct 5 ms 8148 KB Output is correct
48 Correct 4 ms 8148 KB Output is correct
49 Correct 4 ms 8076 KB Output is correct
50 Correct 4 ms 8132 KB Output is correct
51 Correct 5 ms 8148 KB Output is correct
52 Correct 4 ms 8148 KB Output is correct
53 Correct 12 ms 8272 KB Output is correct
54 Correct 16 ms 8340 KB Output is correct
55 Correct 11 ms 8404 KB Output is correct
56 Correct 8 ms 8276 KB Output is correct
57 Correct 14 ms 8376 KB Output is correct
58 Correct 4 ms 8148 KB Output is correct
59 Correct 5 ms 8148 KB Output is correct
60 Correct 6 ms 8148 KB Output is correct
61 Correct 5 ms 8148 KB Output is correct
62 Correct 7 ms 8148 KB Output is correct
63 Correct 4 ms 8020 KB Output is correct
64 Correct 15 ms 8340 KB Output is correct
65 Correct 16 ms 8276 KB Output is correct
66 Correct 10 ms 8392 KB Output is correct
67 Correct 9 ms 8356 KB Output is correct
68 Correct 16 ms 8376 KB Output is correct

Subtask #5
0 / 17.0

# Verdict Execution time Memory Grader output
1 Execution timed out 2056 ms 17440 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 2056 ms 17440 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #7
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 8144 KB Output is correct
2 Correct 14 ms 8368 KB Output is correct
3 Correct 14 ms 8384 KB Output is correct
4 Correct 8 ms 8392 KB Output is correct
5 Correct 4 ms 8148 KB Output is correct
6 Correct 5 ms 8148 KB Output is correct
7 Correct 5 ms 8148 KB Output is correct
8 Correct 11 ms 8268 KB Output is correct
9 Correct 13 ms 8268 KB Output is correct
10 Correct 5 ms 8136 KB Output is correct
11 Correct 5 ms 8156 KB Output is correct
12 Correct 1192 ms 15216 KB Output is correct
13 Execution timed out 2077 ms 20156 KB Time limit exceeded
14 Halted 0 ms 0 KB -