Submission #784302

#	Time	Username	Problem	Language	Result	Execution time	Memory
784302		PCTprobability	Training (IOI07_training)	C++17	100 / 100	154 ms	52312 KiB

training

#include <bits/stdc++.h>
using namespace std;
/*#if __has_include(<atcoder/all>)
#include <atcoder/all>
using namespace atcoder;
#endif*/
using ll = long long;
using ld = long double;
using ull = unsigned long long;
#define endl "\n"
typedef pair<int, int> Pii;
#define REP(i, n) for (int i = 0; i < (n); ++i)
#define REP3(i, m, n) for (int i = (m); (i) < int(n); ++ (i))
#define rep(i,a,b) for(int i=(int)(a);i<(int)(b);i++)
#define ALL(x) begin(x), end(x)
#define rrep(i,a,b) for(int i=a;i>=b;i--)
#define fore(i,a) for(auto &i:a)
#define all(s) (s).begin(),(s).end()
#define drep2(i, m, n) for (int i = (m)-1; i >= (n); --i)
#define drep(i, n) drep2(i, n, 0)
#define rever(vec) reverse(vec.begin(), vec.end())
#define sor(vec) sort(vec.begin(), vec.end())
#define fi first
#define FOR_(n) for (ll _ = 0; (_) < (ll)(n); ++(_))
#define FOR(i, n) for (ll i = 0; (i) < (ll)(n); ++(i))
#define se second
#define pb push_back
#define P pair<ll,ll>
#define PQminll priority_queue<ll, vector<ll>, greater<ll>>
#define PQmaxll priority_queue<ll,vector<ll>,less<ll>>
#define PQminP priority_queue<P, vector<P>, greater<P>>
#define PQmaxP priority_queue<P,vector<P>,less<P>>
#define NP next_permutation
//const ll mod = 1000000009;
const ll mod = 998244353;
//const ll mod = 1000000007;
const ll inf = 4100000000000000000ll;
const ld eps = ld(0.00000000001);
static const long double pi = 3.141592653589793;
template<class T>void vcin(vector<T> &n){for(int i=0;i<int(n.size());i++) cin>>n[i];}
template<class T,class K>void vcin(vector<T> &n,vector<K> &m){for(int i=0;i<int(n.size());i++) cin>>n[i]>>m[i];}
template<class T>void vcout(vector<T> &n){for(int i=0;i<int(n.size());i++){cout<<n[i]<<" ";}cout<<endl;}
template<class T>void vcin(vector<vector<T>> &n){for(int i=0;i<int(n.size());i++){for(int j=0;j<int(n[i].size());j++){cin>>n[i][j];}}}
template<class T>void vcout(vector<vector<T>> &n){for(int i=0;i<int(n.size());i++){for(int j=0;j<int(n[i].size());j++){cout<<n[i][j]<<" ";}cout<<endl;}cout<<endl;}
void yes(bool a){cout<<(a?"yes":"no")<<endl;}
void YES(bool a){cout<<(a?"YES":"NO")<<endl;}
void Yes(bool a){cout<<(a?"Yes":"No")<<endl;}
void possible(bool a){ cout<<(a?"possible":"impossible")<<endl; }
void Possible(bool a){ cout<<(a?"Possible":"Impossible")<<endl; }
void POSSIBLE(bool a){ cout<<(a?"POSSIBLE":"IMPOSSIBLE")<<endl; }
#define FOR_R(i, n) for (ll i = (ll)(n)-1; (i) >= 0; --(i))
template<class T>auto min(const T& a){ return *min_element(all(a)); }
template<class T>auto max(const T& a){ return *max_element(all(a)); }
template<class T,class F>void print(pair<T,F> a){cout<<a.fi<<" "<<a.se<<endl;}
template<class T>bool chmax(T &a,const T b) { if (a<b) { a=b; return 1; } return 0;}
template<class T>bool chmin(T &a,const T b) { if (b<a) { a=b; return 1; } return 0;}
template<class T> void ifmin(T t,T u){if(t>u){cout<<-1<<endl;}else{cout<<t<<endl;}}
template<class T> void ifmax(T t,T u){if(t>u){cout<<-1<<endl;}else{cout<<t<<endl;}}
ll fastgcd(ll u,ll v){ll shl=0;while(u&&v&&u!=v){bool eu=!(u&1);bool ev=!(v&1);if(eu&&ev){++shl;u>>=1;v>>=1;}else if(eu&&!ev){u>>=1;}else if(!eu&&ev){v>>=1;}else if(u>=v){u=(u-v)>>1;}else{ll tmp=u;u=(v-u)>>1;v=tmp;}}return !u?v<<shl:u<<shl;}
ll modPow(ll a, ll n, ll mod) { if(mod==1) return 0;ll ret = 1; ll p = a % mod; while (n) { if (n & 1) ret = ret * p % mod; p = p * p % mod; n >>= 1; } return ret; }
vector<ll> divisor(ll x){ vector<ll> ans; for(ll i = 1; i * i <= x; i++){ if(x % i == 0) {ans.push_back(i); if(i*i!=x){ ans.push_back(x / ans[i]);}}}sor(ans); return ans; }
ll pop(ll x){return __builtin_popcountll(x);}
ll poplong(ll x){ll y=-1;while(x){x/=2;y++;}return y;}
P hyou(P a){ll x=fastgcd(abs(a.fi),abs(a.se));a.fi/=x;a.se/=x;if(a.se<0){a.fi*=-1;a.se*=-1;}return a;}
P Pplus(P a,P b){ return hyou({a.fi*b.se+b.fi*a.se,a.se*b.se});}
P Ptimes(P a,ll b){ return hyou({a.fi*b,a.se});}
P Ptimes(P a,P b){ return hyou({a.fi*b.fi,a.se*b.se});}
P Pminus(P a,P b){ return hyou({a.fi*b.se-b.fi*a.se,a.se*b.se});}
P Pgyaku(P a){ return hyou({a.se,a.fi});}
template<class T>
struct Sum{
  vector<T> data;
  Sum(const vector<T>& v):data(v.size()+1){
    for(ll i=0;i<v.size();i++) data[i+1]=data[i]+v[i];
  }
  T get(ll l,ll r) const {
    return data[r]-data[l];
  }
};
template<class T>
struct Sum2{
  vector<vector<T>> data;
  Sum2(const vector<vector<T>> &v):data(v.size()+1,vector<T>(v[0].size()+1)){
    for(int i=0;i<v.size();i++) for(int j=0;j<v[i].size();j++) data[i+1][j+1]=data[i][j+1]+v[i][j];
    for(int i=0;i<v.size();i++) for(int j=0;j<v[i].size();j++) data[i+1][j+1]+=data[i+1][j];
  }
  T get(ll x1,ll y1,ll x2,ll y2) const {
    return data[x2][y2]+data[x1][y1]-data[x1][y2]-data[x2][y1];
  }
};
 
void cincout(){
  ios::sync_with_stdio(false);
    std::cin.tie(nullptr);
  cout<< fixed << setprecision(15);
}
vector<vector<int>> sh[11];
void solve(int n){
  if(n==0){
    sh[0].pb({});
    return;
  }
  for(int i=0;i*2<=n;i++){
    for(int z=0;z<=1;z++){
      if(i*2+z>n) continue;
      vector<int> c(n);
      for(int j=0;j<i;j++){
        c[2*j]=c[2*j+1]=j+1;
      }
      if(z) c[n-1]=-1;
      sor(c);
      do{
        vector<int> r(i,-1);
        for(int j=0;j<n;j++){
          if(c[j]>=1&&r[c[j]-1]==-1) r[c[j]-1]=j;
        }
        vector<int> u=r;
        sor(u);
        if(u!=r) continue;
        sh[n].pb(c);
      }while(NP(all(c)));
    }
  }
}
ll dp[1000][5010];
vector<int> g[1000];
int d[1000],D[1000],par[1000];
vector<int> nz[1000];
vector<int> vs;
void dfs(int p,int q){
  vs.pb(p);
  for(auto e:g[p]){
    if(e==q) continue;
    d[e]=d[p]^1;
    D[e]=D[p]+1;
    par[e]=p;
    dfs(e,p);
  }
}
vector<int> a,b,c,A,B,C;
ll T=5000;
int f[1000];
vector<vector<int>> G[1000];
vector<vector<int>> GG[1000];
void dfs3(int p,int q,int x){
  f[p]=x;
  for(auto e:g[p]){
    if(e==q) continue;
    dfs3(e,p,x);
  }
}
void dfs2(int p,int q){
  vector<int> ch;
  int x=0;
  for(int i=0;i<1000;i++) f[i]=-1;
  for(auto e:g[p]){
    if(e==q) continue;
    dfs3(e,p,x);
    ch.pb(e);
    x++;
  }
  int m=ch.size();
  vector<vector<ll>> cs(m,vector<ll>(m,-inf/1000));
  vector<vector<int>> V;
  for(auto e:G[p]){
    if(e[0]==p||e[1]==p){
      V.pb(e);
    }
    else{
      chmax(cs[f[e[0]]][f[e[1]]],dp[ch[f[e[0]]]][e[3]]+dp[ch[f[e[1]]]][e[3]]+e[2]);
      chmax(cs[f[e[1]]][f[e[0]]],dp[ch[f[e[0]]]][e[3]]+dp[ch[f[e[1]]]][e[3]]+e[2]);
    }
  }
  vector<ll> M(m);
  for(int i=0;i<m;i++){
    M[i]=dp[ch[i]][T];
    for(auto e:nz[ch[i]]){
      if(a[e]==p||b[e]==p) chmax(M[i],dp[ch[i]][e]+c[e]);
    }
  }
  for(auto v:sh[m]){
    ll sum=0;
    ll idx=T;
    vector<int> memo(6,-1);
    for(int i=0;i<m;i++){
      if(v[i]==0){
        sum+=M[i];
      }
      else if(v[i]==-1){
        idx=i;
      }
      else{
        if(memo[v[i]]>=0){
          sum+=cs[memo[v[i]]][i];
        }
        else{
          memo[v[i]]=i;
        }
      }
    }
   // cout<<"PQ"<<" "<<p<<" "<<idx<<" "<<sum<<endl;
    if(idx==T){
      chmax(dp[p][T],sum);
    }
    else{
      for(auto e:nz[ch[idx]]){
        if(a[e]==p||b[e]==p){
          chmax(dp[p][T],sum+dp[ch[idx]][e]+c[e]);
        }
        else{
          chmax(dp[p][e],sum+dp[ch[idx]][e]);
        }
      }
    }
  }
 // cout<<"K"<<" "<<p<<" "<<m<<" "<<sh[m].size()<<endl;
  for(auto e:GG[p]){
  //  cout<<"P"<<" "<<p<<" "<<e[0]<<" "<<e[1]<<" "<<e[2]<<" "<<e[3]<<endl;
    int OT=e[0]^e[1]^p;
    if(f[OT]==-1){
      chmax(dp[p][e[3]],dp[p][T]);
    }
  }
  for(int i=0;i<5000;i++){
    if(dp[p][i]>=0) nz[p].pb(i);
  }
}
int main() {
  cincout();
  int n,m;
  cin>>n>>m;
  ll ans=0;
  for(int i=0;i<m;i++){
    int p,q,r;
    cin>>p>>q>>r;
    p--;
    q--;
    if(r){
      a.pb(p);
      b.pb(q);
      c.pb(r);
    }
    else{
      g[p].pb(q);
      g[q].pb(p);
    }
    ans+=r;
  }
  dfs(0,-1);
  for(int i=0;i<a.size();i++){
    if(d[a[i]]==d[b[i]]){
      A.pb(a[i]);
      B.pb(b[i]);
      C.pb(c[i]);
    }
  }
  a=A,b=B,c=C;
  for(int i=0;i<a.size();i++){
    int X=a[i],Y=b[i];
    GG[X].pb({a[i],b[i],c[i],i});
    GG[Y].pb({a[i],b[i],c[i],i});
    while(X!=Y){
      if(D[X]<D[Y]) Y=par[Y];
      else X=par[X];
    }
    G[X].pb({a[i],b[i],c[i],i});
  }
  for(int i=0;i<1000;i++){
    for(int j=0;j<=5005;j++) dp[i][j]=-inf;
  }
  rever(vs);
  for(int i=0;i<=10;i++) solve(i);
  for(auto e:vs){
    dfs2(e,par[e]);
  }
 // cout<<dp[4][1]<<endl;
  //cout<<dp[2][1]<<endl;
  cout<<ans-dp[0][T]<<endl;
}

Compilation message (stderr)

training.cpp: In function 'int main()':
training.cpp:250:16: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  250 |   for(int i=0;i<a.size();i++){
      |               ~^~~~~~~~~
training.cpp:258:16: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  258 |   for(int i=0;i<a.size();i++){
      |               ~^~~~~~~~~

• Subtask 1: 10 / 10
• Subtask 2: 10 / 10
• Subtask 3: 10 / 10
• Subtask 4: 7 / 7
• Subtask 5: 9 / 9
• Subtask 6: 9 / 9
• Subtask 7: 9 / 9
• Subtask 8: 9 / 9
• Subtask 9: 9 / 9
• Subtask 10: 9 / 9
• Subtask 11: 9 / 9