結果

問題 No.2604 Initial Motion
ユーザー tnakao0123
提出日時 2024-06-18 10:08:42
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
TLE  
実行時間 -
コード長 3,331 bytes
コンパイル時間 1,455 ms
コンパイル使用メモリ 73,952 KB
最終ジャッジ日時 2025-02-21 23:14:20
ジャッジサーバーID
（参考情報） 		judge2 / judge5
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3
other AC * 36 TLE * 1 -- * 2
権限があれば一括ダウンロードができます
コンパイルメッセージ
main.cpp: In function ‘int main()’:
main.cpp:133:8: warning: ignoring return value of ‘int scanf(const char*, ...)’ declared with attribute ‘warn_unused_result’ [-Wunused-result]
  133 |   scanf("%d%d%d", &k, &n, &m);
      |   ~~~~~^~~~~~~~~~~~~~~~~~~~~~
main.cpp:135:36: warning: ignoring return value of ‘int scanf(const char*, ...)’ declared with attribute ‘warn_unused_result’ [-Wunused-result]
  135 |   for (int i = 0; i < k; i++) scanf("%d", as + i), as[i]--;
      |                               ~~~~~^~~~~~~~~~~~~~
main.cpp:136:36: warning: ignoring return value of ‘int scanf(const char*, ...)’ declared with attribute ‘warn_unused_result’ [-Wunused-result]
  136 |   for (int i = 0; i < n; i++) scanf("%d", bs + i);
      |                               ~~~~~^~~~~~~~~~~~~~
main.cpp:143:10: warning: ignoring return value of ‘int scanf(const char*, ...)’ declared with attribute ‘warn_unused_result’ [-Wunused-result]
  143 |     scanf("%d%d%lld", &u, &v, &d);
      |     ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~

ソースコード

diff # 

/* -*- coding: utf-8 -*-
 *
 * 2604.cc:  No.2604 Initial Motion - yukicoder
 */

#include<cstdio>
#include<vector>
#include<queue>
#include<algorithm>
#include<utility>
 
using namespace std;

/* constant */

const int MAX_K = 2000;
const int MAX_N = 2000;
const int INF = 1 << 30;
const long long LINF = 1LL << 62;

/* typedef */

using ll = long long;

template <typename T>
struct MinCostFlow {
  typedef pair<int,int> pii;
  typedef pair<T,int> pti;
  typedef pair<T,T> ptt;
  typedef vector<pii> vpii;
  typedef vector<vpii> vvpii;

  int n, m;
  vvpii nbrs;
  T inf;
  T max_flow, min_cost;
  vpii prvs;
  vector<T> minfs, caps, costs, flows, ds;

  MinCostFlow(int _n, T _inf): n(_n), m(0), inf(_inf) {
    nbrs.assign(n, vpii());
    minfs.assign(n, 0);
    prvs.assign(n, pii(-1, -1));
    caps.clear(), costs.clear(), flows.clear();
    ds.assign(n, 0);
    max_flow = min_cost = 0;
  }

  int addedges(int u, int v, T cap, T cost) {
    // edge[m]: u -> v, cap=c
    nbrs[u].push_back(pii(v, m));
    caps.push_back(cap); costs.push_back(cost); flows.push_back(0);

    // edge[m + 1]: v -> u, cap=0
    nbrs[v].push_back(pii(u, m + 1));
    caps.push_back(0); costs.push_back(-cost); flows.push_back(0);

    m += 2;
    return m;
  }
  
  ptt flow(int st, int gl) { // return ptt(max_flow, min_cost)
    return flow(st, gl, inf, false);
  }

  ptt flow(int st, int gl, T limit, bool cont) {
    // return ptt(max_flow, min_cost)

    if (! cont) {
      fill(flows.begin(), flows.end(), 0);
      max_flow = min_cost = 0;
    }

    while (max_flow < limit) {
      //printf("max_flow = %d, limit = %d\n", max_flow, limit);

      fill(prvs.begin(), prvs.end(), pii(-1, -1));
      fill(ds.begin(), ds.end(), inf);
      prvs[st] = pii(st, -1);
      minfs[st] = inf;
      ds[st] = 0;

      priority_queue<pti> q;
      q.push(pti(0, st));

      while (! q.empty()) {
	pti u = q.top(); q.pop();
	T ud = -u.first;
	int ui = u.second;
	if (ud != ds[ui]) continue;
	if (ui == gl) break;

	for (auto ve: nbrs[ui]) {
	  int vi = ve.first, ei = ve.second;
	  T vc = caps[ei] - flows[ei];
	  T vd = ud + costs[ei];
	  if (vc > 0 && ds[vi] > vd) {
	    prvs[vi] = pii(ui, ei);
	    minfs[vi] = (minfs[ui] < vc) ? minfs[ui] : vc;
	    ds[vi] = vd;
	    q.push(pti(-vd, vi));
	  }
	}
      }

      if (prvs[gl].first < 0) break;

      T min_flow = min(minfs[gl], limit - max_flow);
      for (int j = gl; j != st;) {
	int i = prvs[j].first, ei = prvs[j].second;
	flows[ei] += min_flow;
	flows[ei ^ 1] -= min_flow;
	j = i;
      }
      max_flow += min_flow;
      min_cost += ds[gl] * min_flow;
    }

    return ptt(max_flow, min_cost);
  }
};

/* global variables */

int as[MAX_K], bs[MAX_N];

/* subroutines */

/* main */

int main() {
  int k, n, m;
  scanf("%d%d%d", &k, &n, &m);

  for (int i = 0; i < k; i++) scanf("%d", as + i), as[i]--;
  for (int i = 0; i < n; i++) scanf("%d", bs + i);

  MinCostFlow<ll> mcf(n + 2, LINF);

  for (int i = 0; i < m; i++) {
    int u, v;
    ll d;
    scanf("%d%d%lld", &u, &v, &d);
    u--, v--;
    mcf.addedges(u, v, INF, d);
    mcf.addedges(v, u, INF, d);
  }

  for (int i = 0; i < k; i++)
    mcf.addedges(n, as[i], 1, 0);
  for (int i = 0; i < n; i++)
    mcf.addedges(i, n + 1, bs[i], 0);

  auto f = mcf.flow(n, n + 1);

  printf("%lld\n", f.second);
	 
  return 0;
}
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