#864118 (C++14) No.2286 Join Hands

提出ソース

結果

問題	No.2286 Join Hands
ユーザー	👑 hos.lyric
提出日時	2023-04-29 00:04:24
言語	C++14 (gcc 12.3.0 + boost 1.83.0)
結果	TLE
実行時間	-
コード長	5,519 bytes
コンパイル時間	1,126 ms
コンパイル使用メモリ	106,416 KB
実行使用メモリ	23,468 KB
最終ジャッジ日時	2024-11-17 22:47:22
合計ジャッジ時間	92,664 ms
ジャッジサーバーID （参考情報）	judge5 / judge2

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テストケース

テストケース表示

入力	結果	実行時間実行使用メモリ
testcase_00	AC	2 ms 10,496 KB
testcase_01	AC	1 ms 10,112 KB
testcase_02	AC	1 ms 10,496 KB
testcase_03	AC	2 ms 10,240 KB
testcase_04	AC	2 ms 10,496 KB
testcase_05	AC	3 ms 11,008 KB
testcase_06	AC	2 ms 10,496 KB
testcase_07	AC	2 ms 11,136 KB
testcase_08	TLE	-
testcase_09	TLE	-
testcase_10	TLE	-
testcase_11	TLE	-
testcase_12	TLE	-
testcase_13	TLE	-
testcase_14	TLE	-
testcase_15	TLE	-
testcase_16	TLE	-
testcase_17	TLE	-
testcase_18	TLE	-
testcase_19	TLE	-
testcase_20	TLE	-
testcase_21	TLE	-
testcase_22	TLE	-
testcase_23	TLE	-
testcase_24	TLE	-
testcase_25	TLE	-
testcase_26	TLE	-
testcase_27	TLE	-
testcase_28	AC	2 ms 10,496 KB
testcase_29	AC	2 ms 11,648 KB
testcase_30	AC	2 ms 11,520 KB
testcase_31	AC	2 ms 10,496 KB
testcase_32	AC	2 ms 11,520 KB
testcase_33	AC	2 ms 10,496 KB
testcase_34	AC	1 ms 10,496 KB
testcase_35	AC	2 ms 11,520 KB
testcase_36	AC	1 ms 10,496 KB
testcase_37	AC	2 ms 10,752 KB
testcase_38	AC	2 ms 10,496 KB
testcase_39	AC	2 ms 11,648 KB
testcase_40	AC	2 ms 10,496 KB
testcase_41	AC	2 ms 11,520 KB
testcase_42	AC	2 ms 10,496 KB
testcase_43	AC	2 ms 11,648 KB
testcase_44	AC	2 ms 10,496 KB
testcase_45	AC	2 ms 11,648 KB
testcase_46	AC	2 ms 10,496 KB
testcase_47	TLE	-
testcase_48	TLE	-
testcase_49	TLE	-
testcase_50	TLE	-
testcase_51	AC	14 ms 6,144 KB
testcase_52	AC	12 ms 5,248 KB
testcase_53	AC	17 ms 6,400 KB
testcase_54	TLE	-
testcase_55	AC	20 ms 6,016 KB
testcase_56	TLE	-
testcase_57	TLE	-
testcase_58	TLE	-
testcase_59	TLE	-
testcase_60	TLE	-

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ソースコード

raw source code

#include <cassert>
#include <cmath>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <functional>
#include <iostream>
#include <limits>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <sstream>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>

using namespace std;

using Int = long long;

template <class T1, class T2> ostream &operator<<(ostream &os, const pair<T1, T2> &a) { return os << "(" << a.first << ", " << a.second << ")"; };
template <class T> ostream &operator<<(ostream &os, const vector<T> &as) { const int sz = as.size(); os << "["; for (int i = 0; i < sz; ++i) { if (i >= 256) { os << ", ..."; break; } if (i > 0) { os << ", "; } os << as[i]; } return os << "]"; }
template <class T> void pv(T a, T b) { for (T i = a; i != b; ++i) cerr << *i << " "; cerr << endl; }
template <class T> bool chmin(T &t, const T &f) { if (t > f) { t = f; return true; } return false; }
template <class T> bool chmax(T &t, const T &f) { if (t < f) { t = f; return true; } return false; }


namespace MCF {

using Capa = int;
using Cost = Int;
constexpr int MAX_N = 100'010;
constexpr int MAX_M = 100'010;
constexpr int QUE_SIZE = 1 << (32 - __builtin_clz(MAX_N));
constexpr int BELLMAN_FORD_NUM_ITERS = 10;
constexpr int LOG_SCALING = 2;

int n, m, ptr[MAX_N], cur[MAX_N], next[MAX_M << 1], zu[MAX_M << 1];
bool on[MAX_N];
int que[QUE_SIZE], qb, qe;
Capa capa[MAX_M << 1], ex[MAX_N];
Cost cost[MAX_M << 1], pot[MAX_N], pot0[MAX_N];

void init(int n_) {
  n = n_; m = 0; memset(ptr, ~0, n * sizeof(int)); memset(ex, 0, n * sizeof(Capa));
}
void ae(int u, int v, Capa c, Cost d) {
  d *= (n + 1);
  next[m] = ptr[u]; ptr[u] = m; zu[m] = v; capa[m] = c; cost[m] = d; ++m;
  next[m] = ptr[v]; ptr[v] = m; zu[m] = u; capa[m] = 0; cost[m] = -d; ++m;
}

bool bellmanFord(Cost eps) {
  memcpy(pot0, pot, n * sizeof(Cost));
  for (int iter = 0; iter < BELLMAN_FORD_NUM_ITERS; ++iter) {
    bool upd = false;
    for (int i = 0; i < m; ++i) {
      if (capa[i] > 0) {
        const int u = zu[i ^ 1], v = zu[i];
        if (pot0[v] > pot0[u] + cost[i] + eps) {
          pot0[v] = pot0[u] + cost[i] + eps;
          upd = true;
        }
      }
    }
    if (!upd) {
      memcpy(pot, pot0, n * sizeof(Cost));
      return true;
    }
  }
  return false;
}

Cost solve() {
  Cost minCost = 0;
  for (int i = 0; i < m; i += 2) if (minCost > cost[i]) minCost = cost[i];
  Cost eps = 1;
  for (; eps < -minCost; eps <<= LOG_SCALING) {}
  memset(pot, 0, n * sizeof(Cost));
  for (; eps >>= LOG_SCALING; ) {
    if (bellmanFord(eps)) continue;
    for (int i = 0; i < m; i += 2) {
      const int u = zu[i ^ 1], v = zu[i];
      const Cost d = cost[i] + pot[u] - pot[v];
      if (capa[i] > 0 && d < 0) {
        Capa &c = capa[i]; ex[u] -= c; ex[v] += c; capa[i ^ 1] += c; c = 0;
      } else if (capa[i ^ 1] > 0 && -d < 0) {
        Capa &c = capa[i ^ 1]; ex[v] -= c; ex[u] += c; capa[i] += c; c = 0;
      }
    }
    memcpy(cur, ptr, n * sizeof(int));
    qb = qe = 0;
    for (int u = 0; u < n; ++u) if (ex[u] > 0) {
      que[qe] = u; ++qe &= QUE_SIZE - 1;
    }
    for (; qb != qe; ) {
      const int u = que[qb]; ++qb &= QUE_SIZE - 1;
      for (int &i = cur[u]; ~i; i = next[i]) {
        if (capa[i] > 0) {
          const int v = zu[i];
          if (cost[i] + pot[u] - pot[v] < 0) {
            const Capa c = min(ex[u], capa[i]);
            if (ex[v] <= 0 && ex[v] + c > 0) {
              que[qe] = v; ++qe &= QUE_SIZE - 1;
            }
            ex[u] -= c; ex[v] += c; capa[i] -= c; capa[i ^ 1] += c;
            if (ex[u] == 0) break;
          }
        }
      }
      if (ex[u] > 0) {
        bool relabeled = false;
        for (int i = ptr[u]; ~i; i = next[i]) {
          if (capa[i] > 0) {
            const Cost p = pot[zu[i]] - cost[i] - eps;
            if (!relabeled || pot[u] < p) {
              relabeled = true; pot[u] = p;
            }
          }
        }
        cur[u] = ptr[u]; que[qe] = u; ++qe &= QUE_SIZE - 1;
      }
    }
  }
  Cost totalCost = 0;
  for (int i = 0; i < m; i += 2) totalCost += cost[i] * capa[i ^ 1];
  return totalCost / (n + 1);
}

}  // namespace MCF


int N, M;
vector<int> A, B;

int main() {
  for (; ~scanf("%d%d", &N, &M); ) {
    A.resize(M);
    B.resize(M);
    for (int i = 0; i < M; ++i) {
      scanf("%d%d", &A[i], &B[i]);
      --A[i];
      --B[i];
    }
    
    MCF::init(1 + N + N + N + N);
    auto out = [&](int u) -> int { return 1 + u; };
    auto in = [&](int u) -> int { return 1 + N + u; };
    auto toL = [&](int u) -> int { return 1 + N + N + u; };
    auto toR = [&](int u) -> int { return 1 + N + N + N + u; };
    const int big = 2 * N + 10;
    for (int u = 0; u < N; ++u) {
      MCF::ae(0, out(u), 1, -big);
      MCF::ae(in(u), 0, 1, 0);
      MCF::ae(toL(u), in(u), 1, 0);
      MCF::ae(toR(u), in(u), 1, 0);
      // discard
      if (u - 1 >= 0) MCF::ae(out(u), toL(u - 1), 1, 0);
      if (u + 1 <  N) MCF::ae(out(u), toR(u + 1), 1, 0);
    }
    for (int u = 0; u < N - 1; ++u) {
      MCF::ae(toL(u + 1), toL(u), N, 0);
      MCF::ae(toR(u), toR(u + 1), N, 0);
    }
    // use
    for (int i = 0; i < M; ++i) {
      MCF::ae(out(A[i]), in(B[i]), 1, -1);
      MCF::ae(out(B[i]), in(A[i]), 1, -1);
    }
    
    const int ans = -(MCF::solve() + N * big);
cerr<<"ans = "<<ans<<endl;
    printf("%d\n", 2 * ans - N);
  }
  return 0;
}

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結果

テストケース

ソースコード