Submission #394765

#TimeUsernameProblemLanguageResultExecution timeMemory
394765usachevd0Wiring (IOI17_wiring)C++17
100 / 100
95 ms12604 KiB
#include <bits/stdc++.h>

using namespace std;

#define fi first
#define se second
#define mp make_pair
#define pb push_back
#define all(a) (a).begin(), (a).end()
using ll = long long;
using ull = unsigned long long;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;
using ld = long double;
template<typename T1, typename T2> bool chkmin(T1 &x, T2 y) {
  return y < x ? (x = y, true) : false; 
}
template<typename T1, typename T2> bool chkmax(T1 &x, T2 y) {
  return y > x ? (x = y, true) : false;
}
void debug_out() {
  cerr << endl;
}
template<typename T1, typename... T2> void debug_out(T1 A, T2... B) {
  cerr << ' ' << A;
  debug_out(B...);
}
template<typename T> void mdebug_out(T* a, int n) {
  for (int i = 0; i < n; ++i) {
    cerr << a[i] << ' ';
  }
  cerr << endl;
}
#ifdef DEBUG
  #define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
  #define mdebug(a, n) cerr << #a << ": ", mdebug_out(a, n)
#else
  #define debug(...) 1337
  #define mdebug(a, n) 1337
#endif
template<typename T> ostream& operator << (ostream& stream, const vector<T> &v) {
  for (auto& x : v) {
    stream << x << ' ';
  }
  return stream;
}
template<typename T1, typename T2> ostream& operator << (ostream& stream, const pair<T1, T2>& p) {
  return stream << p.first << ' ' << p.second;
}


const ll INF64 = 1e18;
const int INF32 = 1e9;
const int maxN = 2e5 + 5;

int last[maxN], ptr[maxN];
ll sumA[maxN], sumB[maxN];

ll min_total_length(vector<int> A, vector<int> B) {
  if (A.back() < B.back()) swap(A, B);
  int n = A.size(), m = B.size();

  vector<int> minDistA(n, INF32);
  for (int i = 0; i < n; ++i) {
    int j = lower_bound(all(B), A[i]) - B.begin();
    if (j < m) {
      chkmin(minDistA[i], labs(B[j] - A[i]));
    }
    if (j > 0) {
      chkmin(minDistA[i], labs(B[j - 1] - A[i]));
    }
  }
  vector<int> minDistB(m, INF32);
  for (int j = 0; j < m; ++j) {
    int i = lower_bound(all(A), B[j]) - A.begin();
    if (i < n) {
      chkmin(minDistB[j], labs(B[j] - A[i]));
    }
    if (i > 0) {
      chkmin(minDistB[j], labs(B[j] - A[i - 1]));
    }
  }

  vector<pii> a;
  for (int i = 0; i < n; ++i) {
    a.emplace_back(A[i], 0);
  }
  for (int j = 0; j < m; ++j) {
    a.emplace_back(B[j], 1);
  }
  sort(all(a));
  int N = a.size();

  int bal = m;
  memset(last, 255, sizeof last);
  memset(ptr, 255, sizeof ptr);
  last[bal] = 0;
  for (int i = 0; i < N; ++i) {
    sumA[i + 1] = sumA[i];
    sumB[i + 1] = sumB[i];
    if (a[i].se == 0) {
      sumA[i + 1] += a[i].fi;
      bal++;
    } else {
      sumB[i + 1] += a[i].fi;
      bal--;
    }
    ptr[i + 1] = last[bal];
    last[bal] = i + 1;
  }
  //mdebug(sumA, N + 1);
  //mdebug(sumB, N + 1);

  vector<ll> dp(N + 1, INF64);
  dp[0] = 0;
  for (int i = 0; i < N; ++i) {
    dp[i + 1] = dp[i] + (a[i].se == 0 ? minDistA[lower_bound(all(A), a[i].fi) - A.begin()] : minDistB[lower_bound(all(B), a[i].fi) - B.begin()]);
    int j = ptr[i + 1];
    if (j != -1) {
      //debug(i, j, dp[j]);
      chkmin(dp[i + 1], dp[j] + labs((sumA[i + 1] - sumA[j]) - (sumB[i + 1] - sumB[j])));
    }
    //debug(i, dp[i + 1]);
  }
  return dp[N];
}


#ifdef DEBUG
int32_t main() {
#ifdef DEBUG
  freopen("in", "r", stdin);
#endif
  ios::sync_with_stdio(0);
  cin.tie(0);

  int n, m;
  cin >> n >> m;
  vector<int> A(n), B(m);
  for (int& x : A) {
    cin >> x;
  }
  for (int& x : B) {
    cin >> x;
  }
  cout << min_total_length(A, B) << '\n';
    
  return 0;
}
#endif
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