답안 #306811

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
306811	2020-09-26T10:15:13 Z	quocnguyen1012	자매 도시 (APIO20_swap)	C++14	100 / 100	664 ms	53488 KB

swap

#ifndef LOCAL
#include "swap.h"
#endif // LOCAl
#include <bits/stdc++.h>

#define fi first
#define se second
#define mp make_pair
#define pb push_back
#define eb emplace_back
#define ar array

using namespace std;
typedef long long ll;
typedef pair<int, int> ii;

const int maxn = 2e5 + 5;

class DSU
{
public:
  class node
  {
  public:
    int pa, max_deg, cycle, updated;
    bool operator < (const node & other) const
    {
      return updated < other.updated;
    }
  };
  vector<node> nodes[maxn];
  vector<int> memb[maxn];
  int deg[maxn];
  void init(int n)
  {
    for(int i = 0; i < n; ++i){
      memb[i].clear();
      nodes[i].clear();
      memb[i].pb(i);
      nodes[i].pb({i, 0, 0, -1});
    }
  }
  int finds(int u)
  {
    return nodes[u].back().pa;
  }
  void add_edge(int u, int v, int i)
  {
    deg[u]++; deg[v]++;
    int new_deg = max(deg[u], deg[v]);
    u = finds(u); v = finds(v);
    if(u != v){
      if(memb[u].size() < memb[v].size()) swap(u, v);
      for(auto & x : memb[v]){
        node prv = nodes[x].back();
        prv.pa = u;
        prv.updated = i;
        nodes[x].pb(prv);
        memb[u].pb(x);
      }
      node prv = nodes[u].back();
      prv.max_deg = max(prv.max_deg, nodes[v].back().max_deg);
      prv.cycle |= nodes[v].back().cycle;
      prv.updated = i;
      nodes[u].pb(prv);
      memb[v].clear();
    }
    node prv = nodes[u].back();
    if(u == v)
      prv.cycle = true;
    prv.max_deg = max(prv.max_deg, new_deg);
    prv.updated = i;
    nodes[u].pb(prv);
  }
  node get_node(int u, int t)
  {
    return *--upper_bound(nodes[u].begin(), nodes[u].end(), (node){-1, -1, 0, t});
  }
}dsu;

vector<ar<int, 3>> edge;
int N, M;

bool isValid(int u, int v, int t)
{
  auto pu = dsu.get_node(u, t), pv = dsu.get_node(v, t);
  if(pu.pa != pv.pa) return false;
  auto val = dsu.get_node(pu.pa, t);
  return val.max_deg >= 3 || val.cycle;
}

void init(int _N, int _M,
		std::vector<int> U, std::vector<int> V, std::vector<int> W) {
  N = _N; M = _M;
  dsu.init(N);
  edge.resize(M);
  for(int i = 0; i < M; ++i){
    edge[i] = {W[i], U[i], V[i]};
  }
  sort(edge.begin(), edge.end());
  for(int i = 0; i < M; ++i){
    dsu.add_edge(edge[i][1], edge[i][2], i);
  }
}

int getMinimumFuelCapacity(int X, int Y) {
  int lo = 0, hi = M - 1;
  while(lo <= hi){
    int mid = (lo + hi) / 2;
    if(isValid(X, Y, mid)) hi = mid - 1;
    else lo = mid + 1;
  }
  if(lo == M) return -1;
  return edge[lo][0];
}

#ifdef LOCAL
signed main(void){
	ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
  #ifdef LOCAL
    freopen("A.INP", "r", stdin);
    freopen("A.OUT", "w", stdout);
  #endif // LOCAL
  int N, M; cin >> N >> M;
  vector<int> U(M), V(M), W(M);
  for(int i = 0; i < M; ++i){
    cin >> U[i];
  }
  for(int i = 0; i < M; ++i){
    cin >> V[i];
  }
  for(int i = 0; i < M; ++i){
    cin >> W[i];
  }
  init(N, M, U, V, W);
  int Q; cin >> Q;
  while(Q--){
    int x, y; cin >> x >> y;
    cout << getMinimumFuelCapacity(x, y) << '\n';
  }
}
#endif

Subtask #1

6.0 / 6.0

#	결과	실행 시간	메모리	Grader output
1	Correct	7 ms	9728 KB	Output is correct
2	Correct	7 ms	9728 KB	Output is correct
3	Correct	7 ms	9728 KB	Output is correct
4	Correct	7 ms	9856 KB	Output is correct
5	Correct	9 ms	9984 KB	Output is correct
6	Correct	8 ms	9984 KB	Output is correct
7	Correct	9 ms	9984 KB	Output is correct
8	Correct	8 ms	9984 KB	Output is correct
9	Correct	222 ms	37740 KB	Output is correct
10	Correct	292 ms	43136 KB	Output is correct
11	Correct	270 ms	42612 KB	Output is correct
12	Correct	289 ms	44656 KB	Output is correct
13	Correct	148 ms	31956 KB	Output is correct
14	Correct	236 ms	37488 KB	Output is correct
15	Correct	520 ms	45944 KB	Output is correct
16	Correct	493 ms	44704 KB	Output is correct
17	Correct	516 ms	47192 KB	Output is correct
18	Correct	352 ms	33728 KB	Output is correct
19	Correct	172 ms	19064 KB	Output is correct
20	Correct	509 ms	47084 KB	Output is correct
21	Correct	509 ms	46000 KB	Output is correct
22	Correct	530 ms	48340 KB	Output is correct
23	Correct	356 ms	35152 KB	Output is correct

Subtask #2

7.0 / 7.0

#	결과	실행 시간	메모리	Grader output
1	Correct	7 ms	9728 KB	Output is correct
2	Correct	7 ms	9728 KB	Output is correct
3	Correct	452 ms	31276 KB	Output is correct
4	Correct	437 ms	31968 KB	Output is correct
5	Correct	467 ms	31772 KB	Output is correct
6	Correct	437 ms	31952 KB	Output is correct
7	Correct	449 ms	31840 KB	Output is correct
8	Correct	440 ms	31260 KB	Output is correct
9	Correct	439 ms	31592 KB	Output is correct
10	Correct	439 ms	31004 KB	Output is correct

Subtask #3

17.0 / 17.0

#	결과	실행 시간	메모리	Grader output
1	Correct	7 ms	9728 KB	Output is correct
2	Correct	7 ms	9728 KB	Output is correct
3	Correct	7 ms	9728 KB	Output is correct
4	Correct	7 ms	9728 KB	Output is correct
5	Correct	7 ms	9856 KB	Output is correct
6	Correct	9 ms	9984 KB	Output is correct
7	Correct	8 ms	9984 KB	Output is correct
8	Correct	9 ms	9984 KB	Output is correct
9	Correct	8 ms	9984 KB	Output is correct
10	Correct	8 ms	9984 KB	Output is correct
11	Correct	9 ms	9984 KB	Output is correct
12	Correct	8 ms	9984 KB	Output is correct
13	Correct	9 ms	9984 KB	Output is correct
14	Correct	9 ms	9916 KB	Output is correct
15	Correct	8 ms	9984 KB	Output is correct
16	Correct	8 ms	9984 KB	Output is correct
17	Correct	8 ms	9984 KB	Output is correct
18	Correct	8 ms	9984 KB	Output is correct
19	Correct	8 ms	9968 KB	Output is correct
20	Correct	9 ms	9984 KB	Output is correct
21	Correct	9 ms	9984 KB	Output is correct
22	Correct	8 ms	9856 KB	Output is correct
23	Correct	8 ms	9856 KB	Output is correct
24	Correct	9 ms	10112 KB	Output is correct
25	Correct	9 ms	9984 KB	Output is correct
26	Correct	9 ms	10112 KB	Output is correct
27	Correct	8 ms	9984 KB	Output is correct
28	Correct	9 ms	9984 KB	Output is correct

Subtask #4

20.0 / 20.0

#	결과	실행 시간	메모리	Grader output
1	Correct	7 ms	9728 KB	Output is correct
2	Correct	7 ms	9728 KB	Output is correct
3	Correct	7 ms	9728 KB	Output is correct
4	Correct	7 ms	9728 KB	Output is correct
5	Correct	7 ms	9856 KB	Output is correct
6	Correct	9 ms	9984 KB	Output is correct
7	Correct	8 ms	9984 KB	Output is correct
8	Correct	9 ms	9984 KB	Output is correct
9	Correct	8 ms	9984 KB	Output is correct
10	Correct	222 ms	37740 KB	Output is correct
11	Correct	292 ms	43136 KB	Output is correct
12	Correct	270 ms	42612 KB	Output is correct
13	Correct	289 ms	44656 KB	Output is correct
14	Correct	148 ms	31956 KB	Output is correct
15	Correct	8 ms	9984 KB	Output is correct
16	Correct	9 ms	9984 KB	Output is correct
17	Correct	8 ms	9984 KB	Output is correct
18	Correct	9 ms	9984 KB	Output is correct
19	Correct	9 ms	9916 KB	Output is correct
20	Correct	8 ms	9984 KB	Output is correct
21	Correct	8 ms	9984 KB	Output is correct
22	Correct	8 ms	9984 KB	Output is correct
23	Correct	8 ms	9984 KB	Output is correct
24	Correct	27 ms	13816 KB	Output is correct
25	Correct	285 ms	44400 KB	Output is correct
26	Correct	289 ms	44016 KB	Output is correct
27	Correct	276 ms	42736 KB	Output is correct
28	Correct	269 ms	41200 KB	Output is correct
29	Correct	256 ms	40688 KB	Output is correct
30	Correct	243 ms	37496 KB	Output is correct
31	Correct	295 ms	45548 KB	Output is correct
32	Correct	295 ms	45548 KB	Output is correct
33	Correct	149 ms	31336 KB	Output is correct
34	Correct	253 ms	40176 KB	Output is correct
35	Correct	8 ms	9968 KB	Output is correct
36	Correct	9 ms	9984 KB	Output is correct
37	Correct	9 ms	9984 KB	Output is correct
38	Correct	8 ms	9856 KB	Output is correct
39	Correct	8 ms	9856 KB	Output is correct
40	Correct	9 ms	10112 KB	Output is correct
41	Correct	9 ms	9984 KB	Output is correct
42	Correct	9 ms	10112 KB	Output is correct
43	Correct	8 ms	9984 KB	Output is correct
44	Correct	9 ms	9984 KB	Output is correct
45	Correct	206 ms	30992 KB	Output is correct
46	Correct	279 ms	43704 KB	Output is correct
47	Correct	242 ms	38024 KB	Output is correct
48	Correct	201 ms	32356 KB	Output is correct
49	Correct	98 ms	20712 KB	Output is correct
50	Correct	83 ms	18288 KB	Output is correct
51	Correct	169 ms	27888 KB	Output is correct
52	Correct	330 ms	45440 KB	Output is correct
53	Correct	296 ms	39636 KB	Output is correct
54	Correct	369 ms	51184 KB	Output is correct
55	Correct	146 ms	31448 KB	Output is correct
56	Correct	272 ms	37728 KB	Output is correct

Subtask #5

23.0 / 23.0

#	결과	실행 시간	메모리	Grader output
1	Correct	7 ms	9728 KB	Output is correct
2	Correct	7 ms	9728 KB	Output is correct
3	Correct	7 ms	9728 KB	Output is correct
4	Correct	7 ms	9856 KB	Output is correct
5	Correct	9 ms	9984 KB	Output is correct
6	Correct	8 ms	9984 KB	Output is correct
7	Correct	9 ms	9984 KB	Output is correct
8	Correct	8 ms	9984 KB	Output is correct
9	Correct	222 ms	37740 KB	Output is correct
10	Correct	292 ms	43136 KB	Output is correct
11	Correct	270 ms	42612 KB	Output is correct
12	Correct	289 ms	44656 KB	Output is correct
13	Correct	148 ms	31956 KB	Output is correct
14	Correct	236 ms	37488 KB	Output is correct
15	Correct	520 ms	45944 KB	Output is correct
16	Correct	493 ms	44704 KB	Output is correct
17	Correct	516 ms	47192 KB	Output is correct
18	Correct	352 ms	33728 KB	Output is correct
19	Correct	452 ms	31276 KB	Output is correct
20	Correct	437 ms	31968 KB	Output is correct
21	Correct	467 ms	31772 KB	Output is correct
22	Correct	437 ms	31952 KB	Output is correct
23	Correct	449 ms	31840 KB	Output is correct
24	Correct	440 ms	31260 KB	Output is correct
25	Correct	439 ms	31592 KB	Output is correct
26	Correct	439 ms	31004 KB	Output is correct
27	Correct	8 ms	9984 KB	Output is correct
28	Correct	9 ms	9984 KB	Output is correct
29	Correct	8 ms	9984 KB	Output is correct
30	Correct	9 ms	9984 KB	Output is correct
31	Correct	9 ms	9916 KB	Output is correct
32	Correct	8 ms	9984 KB	Output is correct
33	Correct	8 ms	9984 KB	Output is correct
34	Correct	8 ms	9984 KB	Output is correct
35	Correct	8 ms	9984 KB	Output is correct
36	Correct	27 ms	13816 KB	Output is correct
37	Correct	285 ms	44400 KB	Output is correct
38	Correct	289 ms	44016 KB	Output is correct
39	Correct	276 ms	42736 KB	Output is correct
40	Correct	269 ms	41200 KB	Output is correct
41	Correct	256 ms	40688 KB	Output is correct
42	Correct	243 ms	37496 KB	Output is correct
43	Correct	295 ms	45548 KB	Output is correct
44	Correct	295 ms	45548 KB	Output is correct
45	Correct	149 ms	31336 KB	Output is correct
46	Correct	253 ms	40176 KB	Output is correct
47	Correct	43 ms	14032 KB	Output is correct
48	Correct	537 ms	47416 KB	Output is correct
49	Correct	518 ms	45892 KB	Output is correct
50	Correct	533 ms	45608 KB	Output is correct
51	Correct	509 ms	44644 KB	Output is correct
52	Correct	483 ms	41760 KB	Output is correct
53	Correct	404 ms	33508 KB	Output is correct
54	Correct	525 ms	47452 KB	Output is correct
55	Correct	529 ms	48600 KB	Output is correct
56	Correct	424 ms	34368 KB	Output is correct
57	Correct	522 ms	42968 KB	Output is correct

Subtask #6

27.0 / 27.0

#	결과	실행 시간	메모리	Grader output
1	Correct	7 ms	9728 KB	Output is correct
2	Correct	7 ms	9728 KB	Output is correct
3	Correct	7 ms	9728 KB	Output is correct
4	Correct	7 ms	9728 KB	Output is correct
5	Correct	7 ms	9856 KB	Output is correct
6	Correct	9 ms	9984 KB	Output is correct
7	Correct	8 ms	9984 KB	Output is correct
8	Correct	9 ms	9984 KB	Output is correct
9	Correct	8 ms	9984 KB	Output is correct
10	Correct	222 ms	37740 KB	Output is correct
11	Correct	292 ms	43136 KB	Output is correct
12	Correct	270 ms	42612 KB	Output is correct
13	Correct	289 ms	44656 KB	Output is correct
14	Correct	148 ms	31956 KB	Output is correct
15	Correct	236 ms	37488 KB	Output is correct
16	Correct	520 ms	45944 KB	Output is correct
17	Correct	493 ms	44704 KB	Output is correct
18	Correct	516 ms	47192 KB	Output is correct
19	Correct	352 ms	33728 KB	Output is correct
20	Correct	452 ms	31276 KB	Output is correct
21	Correct	437 ms	31968 KB	Output is correct
22	Correct	467 ms	31772 KB	Output is correct
23	Correct	437 ms	31952 KB	Output is correct
24	Correct	449 ms	31840 KB	Output is correct
25	Correct	440 ms	31260 KB	Output is correct
26	Correct	439 ms	31592 KB	Output is correct
27	Correct	439 ms	31004 KB	Output is correct
28	Correct	8 ms	9984 KB	Output is correct
29	Correct	9 ms	9984 KB	Output is correct
30	Correct	8 ms	9984 KB	Output is correct
31	Correct	9 ms	9984 KB	Output is correct
32	Correct	9 ms	9916 KB	Output is correct
33	Correct	8 ms	9984 KB	Output is correct
34	Correct	8 ms	9984 KB	Output is correct
35	Correct	8 ms	9984 KB	Output is correct
36	Correct	8 ms	9984 KB	Output is correct
37	Correct	27 ms	13816 KB	Output is correct
38	Correct	285 ms	44400 KB	Output is correct
39	Correct	289 ms	44016 KB	Output is correct
40	Correct	276 ms	42736 KB	Output is correct
41	Correct	269 ms	41200 KB	Output is correct
42	Correct	256 ms	40688 KB	Output is correct
43	Correct	243 ms	37496 KB	Output is correct
44	Correct	295 ms	45548 KB	Output is correct
45	Correct	295 ms	45548 KB	Output is correct
46	Correct	149 ms	31336 KB	Output is correct
47	Correct	253 ms	40176 KB	Output is correct
48	Correct	43 ms	14032 KB	Output is correct
49	Correct	537 ms	47416 KB	Output is correct
50	Correct	518 ms	45892 KB	Output is correct
51	Correct	533 ms	45608 KB	Output is correct
52	Correct	509 ms	44644 KB	Output is correct
53	Correct	483 ms	41760 KB	Output is correct
54	Correct	404 ms	33508 KB	Output is correct
55	Correct	525 ms	47452 KB	Output is correct
56	Correct	529 ms	48600 KB	Output is correct
57	Correct	424 ms	34368 KB	Output is correct
58	Correct	522 ms	42968 KB	Output is correct
59	Correct	172 ms	19064 KB	Output is correct
60	Correct	509 ms	47084 KB	Output is correct
61	Correct	509 ms	46000 KB	Output is correct
62	Correct	530 ms	48340 KB	Output is correct
63	Correct	356 ms	35152 KB	Output is correct
64	Correct	8 ms	9968 KB	Output is correct
65	Correct	9 ms	9984 KB	Output is correct
66	Correct	9 ms	9984 KB	Output is correct
67	Correct	8 ms	9856 KB	Output is correct
68	Correct	8 ms	9856 KB	Output is correct
69	Correct	9 ms	10112 KB	Output is correct
70	Correct	9 ms	9984 KB	Output is correct
71	Correct	9 ms	10112 KB	Output is correct
72	Correct	8 ms	9984 KB	Output is correct
73	Correct	9 ms	9984 KB	Output is correct
74	Correct	206 ms	30992 KB	Output is correct
75	Correct	279 ms	43704 KB	Output is correct
76	Correct	242 ms	38024 KB	Output is correct
77	Correct	201 ms	32356 KB	Output is correct
78	Correct	98 ms	20712 KB	Output is correct
79	Correct	83 ms	18288 KB	Output is correct
80	Correct	169 ms	27888 KB	Output is correct
81	Correct	330 ms	45440 KB	Output is correct
82	Correct	296 ms	39636 KB	Output is correct
83	Correct	369 ms	51184 KB	Output is correct
84	Correct	146 ms	31448 KB	Output is correct
85	Correct	272 ms	37728 KB	Output is correct
86	Correct	145 ms	19184 KB	Output is correct
87	Correct	525 ms	44892 KB	Output is correct
88	Correct	533 ms	45400 KB	Output is correct
89	Correct	558 ms	33796 KB	Output is correct
90	Correct	369 ms	22760 KB	Output is correct
91	Correct	427 ms	23788 KB	Output is correct
92	Correct	537 ms	30276 KB	Output is correct
93	Correct	641 ms	47020 KB	Output is correct
94	Correct	664 ms	41964 KB	Output is correct
95	Correct	639 ms	53488 KB	Output is correct
96	Correct	420 ms	34368 KB	Output is correct
97	Correct	620 ms	37156 KB	Output is correct