Submission #710311

#	Time	Username	Problem	Language	Result	Execution time	Memory
710311		lam	Duathlon (APIO18_duathlon)	C++14	31 / 100	153 ms	41116 KiB

count_triplets

#include <bits/stdc++.h>
#define int long long
using namespace std;
const int mod = 1e9 + 7;
const int maxn = 1e5 + 10;
int n,m;
vector <int> adj[maxn];
stack <int> st;
int l[maxn],t[maxn],cnt,scc,id[maxn];
int dp[maxn],dp2[maxn],s[maxn];
vector <int> adj2[maxn];
int ans = 0LL;
bool dau[maxn];
void dfs(int x, int p)
{
    st.push(x);
    l[x] = t[x] = ++cnt;
    for (int i:adj[x])
        if (i!=p)
    {
        if (!t[i])
        {
            dfs(i,x);
            l[x]=min(l[x],l[i]);
        }
        else l[x]=min(l[x],t[i]);
    }
    if (l[x]==t[x])
    {
        scc++; int temp;
        do
        {
            temp = st.top(); st.pop();
            s[scc]++;
            id[temp] = scc;
        }
        while (temp!=x);
    }
}

void dfs2(int x, int p)
{
    dp[x] = 0;
    dau[x] = 1;
    for (int i:adj2[x])
        if (i!=p)
    {
        dfs2(i,x);
//        cout<<temp<<" : "<<dp[i]+s[i]<<' '<<s[x]<<endl;
        dp[x] = (dp[x] + dp[i] + s[i]) ;
    }
}

void dfs3(int x, int p, int val)
{
    dp2[x] = val;
//    cout<<val<<" : "<<temp<<" : "<<s[x]<<endl;
    vector <int> pre,suf;
    for (int i:adj2[x])
        if (i!=p)
    {
        pre.push_back((dp[i]+s[i]) );
        suf.push_back((dp[i]+s[i]) );
    }
    val = (val + s[x]) ;
//    cout<<x<<" :: "<<val<<endl;
//    for (int i:pre) cout<<i<<' '; cout<<"@@@@@@@@@@@"<<endl;
//    for (int i:suf) cout<<i<<' '; cout<<"@@@@@@@@@@@"<<endl;
    for (int i=1; i<pre.size(); i++) pre[i] = (pre[i-1] + pre[i]) ;
    for (int i=suf.size()-2; i>=0; i--) suf[i] = (suf[i+1] + suf[i]) ;
//    cout<<(int)suf.size()<<"@%$@%#$@"<<endl;
    int cnt2=0;
    for (int i:adj2[x])
        if (i!=p)
        {
            int val2 = val;
//            cerr<<val2<<' '<<cnt2<<" -> ";
            if (cnt2>0) val2 = (val2 + pre[cnt2-1]) ;
            if (cnt2<=(int)suf.size()-2) val2 = (val2 + suf[cnt2+1]) ;
//             cerr<<val<<endl;
            cnt2++;
            dfs3(i,x,val2);
        }
}
void dfs4(int x, int p, int sz)
{
    int val = dp2[x];
    int temp = (sz - s[x] - val);
    if (temp>0&&val>0)
    ans += s[x]*val*temp;
    for (int i:adj2[x])
        if (i!=p)
    {
        dfs4(i,x,sz);
        val = dp[i]+s[i];
        temp = sz - s[x] - val;
        if (temp>0&&val>0) ans+=s[x]*val*temp;
    }
}
signed main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr); cout.tie(nullptr);
//    freopen("dualthon.inp","r",stdin);
//    freopen("dualthon.ans","w",stdout);
    cin>>n>>m;
    for (int i=1; i<=m; i++)
    {
        int u,v; cin>>u>>v;
        adj[u].push_back(v);
        adj[v].push_back(u);
    }
    cnt = scc= 0;
    vector <int> root;
    for (int i=1; i<=n; i++) if (!t[i]) dfs(i,i);
    for (int i=1; i<=n; i++)
        for (int j:adj[i])
            if (id[i]!=id[j])
    {
        adj2[id[i]].push_back(id[j]);
    }
    for (int i=1; i<=scc; i++)
    {
        sort(adj2[i].begin(),adj2[i].end());
        adj2[i].resize(unique(adj2[i].begin(),adj2[i].end())-adj2[i].begin());
    }
    for (int i=1; i<=scc; i++) if (!dau[i]) dfs2(i,i), root.push_back(i);
    for (int i:root) dfs3(i,i,0);
    for (int i=1; i<=scc; i++)
    {
        int sl = s[i];
//        cout<<i<<" := "<<dp[i]<<' '<<dp2[i]<<endl;
        int temp = 0;
        if (sl>=3)
        {
            temp = sl*(sl-1)*(sl-2);
            ans = (ans + temp);
        }
        if (sl>=2)
        {
            temp = (sl-1)*(sl-1);
//            cout<<temp<<" "<<dp[i]<<' '<<dp2[i]<<endl;
            ans += temp*dp[i]*2;
            ans += temp*dp2[i]*2;
        }
    }
    for (int i:root) dfs4(i,i,dp[i]+s[i]);
    cout<<ans<<'\n';
}

Compilation message (stderr)

count_triplets.cpp: In function 'void dfs3(long long int, long long int, long long int)':
count_triplets.cpp:69:20: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   69 |     for (int i=1; i<pre.size(); i++) pre[i] = (pre[i-1] + pre[i]) ;
      |                   ~^~~~~~~~~~~

• Subtask 1: 0 / 5
• Subtask 2: 0 / 11
• Subtask 3: 8 / 8
• Subtask 4: 10 / 10
• Subtask 5: 13 / 13
• Subtask 6: 0 / 15
• Subtask 7: 0 / 20
• Subtask 8: 0 / 8
• Subtask 9: 0 / 10