Submission #882649

#TimeUsernameProblemLanguageResultExecution timeMemory
882649vjudge1Palembang Bridges (APIO15_bridge)C++17
22 / 100
62 ms82160 KiB
/* Author : Mychecksdead  */
#include<bits/stdc++.h>
using namespace std;
#define ll long long int
#define MOD (1000000000+7)
#define MOD1 (998244353)
#define pb push_back
#define all(x) x.begin(), x.end()
#define en cout << '\n'
const int N = 1e6+100, M = 1e5+10, K = 52, MX = 30;



ll solv(vector<pair<ll, ll>> &v){
  if(v.size() == 0) return 0ll;
  vector<pair<ll, ll>> pref(v.size());
  vector<pair<ll, ll>> suf(v.size());
  pref[0] = {0, 0};
  for(int i = 1; i < v.size(); ++i){
    pref[i] = pref[i - 1];
    if(v[i].second == 1) pref[i].first += v[i].first, pref[i].second++;
  }
  suf[v.size() - 1] = {0, 0};
  for(int i = v.size() - 2; i >= 0; --i){
    suf[i] = suf[i + 1];
    if(v[i].second == 0) suf[i].first += v[i].first, suf[i].second++;
  }
  ll best = 1e18;
  for(int i = 0; i < v.size(); ++i){
    if(abs(suf[i].second - pref[i].second) <= 1)
    best = min(best, suf[i].first - pref[i].first + (v[i].first * pref[i].second) - (v[i].first * suf[i].second));
  }
  return best*2;
}

int k, n;
ll ans = 0;
pair<ll, ll> pref[N], suf[N], prefL[N], sufR[N];
array<ll, 2> a[N];
vector<int> L[N];
set<int> R[N];

void solve(){
  cin >> k >> n;
  int c = 0;
  for(int i = 1; i <= n; ++i){
    char c1, c2; ll x1, x2; cin >> c1 >> x1 >> c2 >> x2;
    if(c1 == c2){
      ans += abs(x1-x2);
    }else{
      ++c;
      a[c][0] = min(x1, x2);
      a[c][1] = max(x1, x2);
      ans += abs(x1-x2);
      // cout << a[c][0] << ' '<< a[c][1] << '\n';
    }
  }
  n = c;
  if(n==0){
    cout << ans;
    return;
  }
  sort(a+1, a+1+n);

  if(k == 1){
    vector<pair<ll, ll>> v;
    for(int i = 1; i <= n; ++i) v.pb({a[i][0], 0}), v.pb({a[i][1], 1});

    sort(all(v));
    pref[0] = {0, 0};
    for(int i = 1; i < v.size(); ++i){
      pref[i] = pref[i - 1];
      if(v[i].second == 1) pref[i].first += v[i].first, pref[i].second++;
    }

    suf[v.size() - 1] = {0, 0};
    for(int i = v.size() - 2; i >= 0; --i){
      suf[i] = suf[i + 1];
      if(v[i].second == 0) suf[i].first += v[i].first, suf[i].second++;
    }
    ll best = 1e18;
    for(int i = 0; i < v.size(); ++i){
      if(abs(suf[i].second - pref[i].second) <= 1)
      best = min(best, suf[i].first - pref[i].first + (v[i].first * pref[i].second) - (v[i].first * suf[i].second));
    }
    cout << ans + best*2 + n; 
  }else{
    ll best = 1e18;

    // for(int i = 0; i < n*2; ++i){
    //   for(int j = i + 1; j < 2*n; ++j){
    //     ll s = 0;
    //     for(int k = 1; k <= n; ++k){
    //       if(a[k][0] <= v[i].first && a[k][1] >= v[i].first) continue;
    //       if(a[k][0] <= v[j].first && a[k][1] >= v[j].first) continue;
    //       s += 2*min({abs(v[i].first - a[k][0]), abs(v[i].first - a[k][1]), abs(v[j].first - a[k][0]), abs(v[j].first - a[k][1])});
    //     }
    //     best = min(best, s);
    //   }
    // }
    // cout << ans + best + n;
    // return;
    sort(a+1, a+1+n, [&](const array<ll, 2> &x, const array<ll, 2> &y){
      return x[0] + x[1] < y[0] + y[1];
    });

    vector<pair<ll, ll>> v;
    for(int i = 1; i <= n; ++i) v.pb({a[i][0], 0}), v.pb({a[i][1], 1});

    sort(all(v));
    pref[0] = {0, 0};
    for(int i = 1; i < v.size(); ++i){
      pref[i] = pref[i - 1];
      if(v[i].second == 1) pref[i].first += v[i].first, pref[i].second++;
    }

    suf[v.size() - 1] = {0, 0};
    for(int i = v.size() - 2; i >= 0; --i){
      suf[i] = suf[i + 1];
      if(v[i].second == 0) suf[i].first += v[i].first, suf[i].second++;
    }



    suf[2*n] = {0, 0};
    for(int i = 0; i < v.size(); ++i) R[pref[i].second - suf[i].second + M].insert(i);
    for(int i = 0; i < v.size(); ++i){
      if(abs(suf[i].second - pref[i].second) <= 1)
        best = min(best, suf[i].first - pref[i].first + (v[i].first * pref[i].second) - (v[i].first * suf[i].second));
    }
    for(int i = 0; i < v.size(); ++i){
      int x = pref[i].second - suf[i].second + M;
      L[x].pb(i);
      R[x].erase(i);
      
      int y = suf[i + 1].second;
      int y2 = -pref[i].second;
      for(int j = y + M - 2; j <= y + M + 2; ++j){
        for(int j2 = y2 + M - 2; j2 <= y2 + M + 2; ++j2){
          for(auto l: L[j]){
            for(auto r: R[j2]){
              best = min(best,
                (suf[l].first - suf[i + 1].first) - pref[l].first + (pref[l].second - (suf[l].second - suf[i + 1].second)) * v[l].first + 
                suf[r].first - (pref[r].first - pref[i].first) + ((pref[r].second - pref[i].second) - suf[r].second) * v[r].first 
              );
            }
          }
        }
      }
    }
    cout << ans + 2*best + n;
  }

}



int main(){
  cin.tie(0); ios::sync_with_stdio(0);
  int tt = 1, aa;
  // freopen("in.txt", "r", stdin);
  // freopen("out.txt", "w", stdout);
  while(tt--){
    solve();
    en;
  }
  cerr<<"time taken : "<<(float)clock()/CLOCKS_PER_SEC<<" seconds\n";
  return 0;
} 

Compilation message (stderr)

bridge.cpp: In function 'long long int solv(std::vector<std::pair<long long int, long long int> >&)':
bridge.cpp:19:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   19 |   for(int i = 1; i < v.size(); ++i){
      |                  ~~^~~~~~~~~~
bridge.cpp:29:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   29 |   for(int i = 0; i < v.size(); ++i){
      |                  ~~^~~~~~~~~~
bridge.cpp: In function 'void solve()':
bridge.cpp:71:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   71 |     for(int i = 1; i < v.size(); ++i){
      |                    ~~^~~~~~~~~~
bridge.cpp:82:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   82 |     for(int i = 0; i < v.size(); ++i){
      |                    ~~^~~~~~~~~~
bridge.cpp:112:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  112 |     for(int i = 1; i < v.size(); ++i){
      |                    ~~^~~~~~~~~~
bridge.cpp:126:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  126 |     for(int i = 0; i < v.size(); ++i) R[pref[i].second - suf[i].second + M].insert(i);
      |                    ~~^~~~~~~~~~
bridge.cpp:127:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  127 |     for(int i = 0; i < v.size(); ++i){
      |                    ~~^~~~~~~~~~
bridge.cpp:131:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  131 |     for(int i = 0; i < v.size(); ++i){
      |                    ~~^~~~~~~~~~
bridge.cpp: In function 'int main()':
bridge.cpp:160:15: warning: unused variable 'aa' [-Wunused-variable]
  160 |   int tt = 1, aa;
      |               ^~
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