oj.uz

Submission #734347

# Submission time Handle Problem Language Result Execution time Memory
734347 2023-05-02T09:52:32 Z bin9638 Road Closures (APIO21_roads) C++17
36 / 100
 2000 ms 25928 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,50);
      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
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 8020 KB Output is correct
2 Correct 10 ms 8404 KB Output is correct
3 Correct 10 ms 8404 KB Output is correct
4 Correct 9 ms 8404 KB Output is correct
5 Correct 4 ms 8148 KB Output is correct
6 Correct 4 ms 8148 KB Output is correct
7 Correct 5 ms 8148 KB Output is correct
8 Correct 8 ms 8276 KB Output is correct
9 Correct 10 ms 8408 KB Output is correct
10 Correct 5 ms 8148 KB Output is correct
11 Correct 4 ms 8136 KB Output is correct
12 Correct 216 ms 15336 KB Output is correct
13 Correct 541 ms 20388 KB Output is correct
14 Correct 552 ms 19364 KB Output is correct
15 Correct 629 ms 20584 KB Output is correct
16 Correct 664 ms 20704 KB Output is correct
17 Correct 372 ms 20656 KB Output is correct
18 Correct 4 ms 8020 KB Output is correct
19 Correct 336 ms 19416 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 8148 KB Output is correct
2 Correct 319 ms 23200 KB Output is correct
3 Correct 353 ms 24740 KB Output is correct
4 Correct 356 ms 25744 KB Output is correct
5 Correct 353 ms 25928 KB Output is correct
6 Correct 9 ms 8404 KB Output is correct
7 Correct 10 ms 8532 KB Output is correct
8 Correct 10 ms 8404 KB Output is correct
9 Correct 5 ms 8148 KB Output is correct
10 Correct 5 ms 8148 KB Output is correct
11 Correct 5 ms 8132 KB Output is correct
12 Correct 197 ms 18628 KB Output is correct
13 Correct 362 ms 25716 KB Output is correct
14 Correct 5 ms 8148 KB Output is correct
15 Correct 317 ms 24108 KB Output is correct
16 Correct 373 ms 25688 KB Output is correct

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 8148 KB Output is correct
3 Correct 4 ms 8148 KB Output is correct
4 Correct 5 ms 8148 KB Output is correct
5 Correct 5 ms 8148 KB Output is correct
6 Correct 5 ms 8132 KB Output is correct
7 Correct 6 ms 8132 KB Output is correct
8 Correct 5 ms 8132 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 4 ms 8148 KB Output is correct
14 Correct 5 ms 8148 KB Output is correct
15 Correct 5 ms 8148 KB Output is correct
16 Correct 4 ms 8148 KB Output is correct
17 Correct 5 ms 8112 KB Output is correct
18 Correct 5 ms 8052 KB Output is correct
19 Correct 5 ms 8148 KB Output is correct
20 Correct 4 ms 8148 KB Output is correct
21 Correct 4 ms 8148 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 8148 KB Output is correct
3 Correct 4 ms 8148 KB Output is correct
4 Correct 5 ms 8148 KB Output is correct
5 Correct 5 ms 8148 KB Output is correct
6 Correct 5 ms 8132 KB Output is correct
7 Correct 6 ms 8132 KB Output is correct
8 Correct 5 ms 8132 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 4 ms 8148 KB Output is correct
14 Correct 5 ms 8148 KB Output is correct
15 Correct 5 ms 8148 KB Output is correct
16 Correct 4 ms 8148 KB Output is correct
17 Correct 5 ms 8112 KB Output is correct
18 Correct 5 ms 8052 KB Output is correct
19 Correct 5 ms 8148 KB Output is correct
20 Correct 4 ms 8148 KB Output is correct
21 Correct 4 ms 8148 KB Output is correct
22 Correct 4 ms 8148 KB Output is correct
23 Correct 8 ms 8276 KB Output is correct
24 Correct 13 ms 8404 KB Output is correct
25 Correct 11 ms 8272 KB Output is correct
26 Correct 13 ms 8396 KB Output is correct
27 Correct 11 ms 8424 KB Output is correct
28 Correct 10 ms 8404 KB Output is correct
29 Correct 11 ms 8276 KB Output is correct
30 Correct 17 ms 8404 KB Output is correct
31 Correct 11 ms 8404 KB Output is correct
32 Correct 8 ms 8416 KB Output is correct
33 Correct 9 ms 8456 KB Output is correct
34 Correct 9 ms 8524 KB Output is correct
35 Correct 9 ms 8404 KB Output is correct
36 Correct 10 ms 8432 KB Output is correct
37 Correct 11 ms 8400 KB Output is correct
38 Correct 8 ms 8432 KB Output is correct
39 Correct 4 ms 8080 KB Output is correct
40 Correct 4 ms 8148 KB Output is correct
41 Correct 4 ms 8148 KB Output is correct
42 Correct 5 ms 8148 KB Output is correct
43 Correct 5 ms 8148 KB Output is correct
44 Correct 5 ms 8128 KB Output is correct
45 Correct 4 ms 8148 KB Output is correct
46 Correct 5 ms 8148 KB Output is correct
47 Correct 4 ms 8148 KB Output is correct
48 Correct 6 ms 8132 KB Output is correct
49 Correct 5 ms 8148 KB Output is correct
50 Correct 5 ms 8148 KB Output is correct
51 Correct 4 ms 8148 KB Output is correct
52 Correct 5 ms 8148 KB Output is correct
53 Correct 10 ms 8276 KB Output is correct
54 Correct 13 ms 8276 KB Output is correct
55 Correct 10 ms 8404 KB Output is correct
56 Correct 8 ms 8276 KB Output is correct
57 Correct 9 ms 8400 KB Output is correct
58 Correct 5 ms 8132 KB Output is correct
59 Correct 4 ms 8148 KB Output is correct
60 Correct 5 ms 8112 KB Output is correct
61 Correct 4 ms 8148 KB Output is correct
62 Correct 5 ms 8148 KB Output is correct
63 Correct 4 ms 8148 KB Output is correct
64 Correct 12 ms 8272 KB Output is correct
65 Correct 12 ms 8396 KB Output is correct
66 Correct 10 ms 8404 KB Output is correct
67 Correct 9 ms 8404 KB Output is correct
68 Correct 15 ms 8432 KB Output is correct

Subtask #5
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1165 ms 18884 KB Output is correct
2 Correct 1033 ms 18580 KB Output is correct
3 Execution timed out 2072 ms 22052 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #6
0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1165 ms 18884 KB Output is correct
2 Correct 1033 ms 18580 KB Output is correct
3 Execution timed out 2072 ms 22052 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #7
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 8020 KB Output is correct
2 Correct 10 ms 8404 KB Output is correct
3 Correct 10 ms 8404 KB Output is correct
4 Correct 9 ms 8404 KB Output is correct
5 Correct 4 ms 8148 KB Output is correct
6 Correct 4 ms 8148 KB Output is correct
7 Correct 5 ms 8148 KB Output is correct
8 Correct 8 ms 8276 KB Output is correct
9 Correct 10 ms 8408 KB Output is correct
10 Correct 5 ms 8148 KB Output is correct
11 Correct 4 ms 8136 KB Output is correct
12 Correct 216 ms 15336 KB Output is correct
13 Correct 541 ms 20388 KB Output is correct
14 Correct 552 ms 19364 KB Output is correct
15 Correct 629 ms 20584 KB Output is correct
16 Correct 664 ms 20704 KB Output is correct
17 Correct 372 ms 20656 KB Output is correct
18 Correct 4 ms 8020 KB Output is correct
19 Correct 336 ms 19416 KB Output is correct
20 Correct 4 ms 8148 KB Output is correct
21 Correct 319 ms 23200 KB Output is correct
22 Correct 353 ms 24740 KB Output is correct
23 Correct 356 ms 25744 KB Output is correct
24 Correct 353 ms 25928 KB Output is correct
25 Correct 9 ms 8404 KB Output is correct
26 Correct 10 ms 8532 KB Output is correct
27 Correct 10 ms 8404 KB Output is correct
28 Correct 5 ms 8148 KB Output is correct
29 Correct 5 ms 8148 KB Output is correct
30 Correct 5 ms 8132 KB Output is correct
31 Correct 197 ms 18628 KB Output is correct
32 Correct 362 ms 25716 KB Output is correct
33 Correct 5 ms 8148 KB Output is correct
34 Correct 317 ms 24108 KB Output is correct
35 Correct 373 ms 25688 KB Output is correct
36 Correct 4 ms 8020 KB Output is correct
37 Correct 4 ms 8148 KB Output is correct
38 Correct 4 ms 8148 KB Output is correct
39 Correct 5 ms 8148 KB Output is correct
40 Correct 5 ms 8148 KB Output is correct
41 Correct 5 ms 8132 KB Output is correct
42 Correct 6 ms 8132 KB Output is correct
43 Correct 5 ms 8132 KB Output is correct
44 Correct 5 ms 8148 KB Output is correct
45 Correct 4 ms 8148 KB Output is correct
46 Correct 5 ms 8148 KB Output is correct
47 Correct 5 ms 8148 KB Output is correct
48 Correct 4 ms 8148 KB Output is correct
49 Correct 5 ms 8148 KB Output is correct
50 Correct 5 ms 8148 KB Output is correct
51 Correct 4 ms 8148 KB Output is correct
52 Correct 5 ms 8112 KB Output is correct
53 Correct 5 ms 8052 KB Output is correct
54 Correct 5 ms 8148 KB Output is correct
55 Correct 4 ms 8148 KB Output is correct
56 Correct 4 ms 8148 KB Output is correct
57 Correct 4 ms 8148 KB Output is correct
58 Correct 8 ms 8276 KB Output is correct
59 Correct 13 ms 8404 KB Output is correct
60 Correct 11 ms 8272 KB Output is correct
61 Correct 13 ms 8396 KB Output is correct
62 Correct 11 ms 8424 KB Output is correct
63 Correct 10 ms 8404 KB Output is correct
64 Correct 11 ms 8276 KB Output is correct
65 Correct 17 ms 8404 KB Output is correct
66 Correct 11 ms 8404 KB Output is correct
67 Correct 8 ms 8416 KB Output is correct
68 Correct 9 ms 8456 KB Output is correct
69 Correct 9 ms 8524 KB Output is correct
70 Correct 9 ms 8404 KB Output is correct
71 Correct 10 ms 8432 KB Output is correct
72 Correct 11 ms 8400 KB Output is correct
73 Correct 8 ms 8432 KB Output is correct
74 Correct 4 ms 8080 KB Output is correct
75 Correct 4 ms 8148 KB Output is correct
76 Correct 4 ms 8148 KB Output is correct
77 Correct 5 ms 8148 KB Output is correct
78 Correct 5 ms 8148 KB Output is correct
79 Correct 5 ms 8128 KB Output is correct
80 Correct 4 ms 8148 KB Output is correct
81 Correct 5 ms 8148 KB Output is correct
82 Correct 4 ms 8148 KB Output is correct
83 Correct 6 ms 8132 KB Output is correct
84 Correct 5 ms 8148 KB Output is correct
85 Correct 5 ms 8148 KB Output is correct
86 Correct 4 ms 8148 KB Output is correct
87 Correct 5 ms 8148 KB Output is correct
88 Correct 10 ms 8276 KB Output is correct
89 Correct 13 ms 8276 KB Output is correct
90 Correct 10 ms 8404 KB Output is correct
91 Correct 8 ms 8276 KB Output is correct
92 Correct 9 ms 8400 KB Output is correct
93 Correct 5 ms 8132 KB Output is correct
94 Correct 4 ms 8148 KB Output is correct
95 Correct 5 ms 8112 KB Output is correct
96 Correct 4 ms 8148 KB Output is correct
97 Correct 5 ms 8148 KB Output is correct
98 Correct 4 ms 8148 KB Output is correct
99 Correct 12 ms 8272 KB Output is correct
100 Correct 12 ms 8396 KB Output is correct
101 Correct 10 ms 8404 KB Output is correct
102 Correct 9 ms 8404 KB Output is correct
103 Correct 15 ms 8432 KB Output is correct
104 Correct 1165 ms 18884 KB Output is correct
105 Correct 1033 ms 18580 KB Output is correct
106 Execution timed out 2072 ms 22052 KB Time limit exceeded
107 Halted 0 ms 0 KB -