oj.uz

Submission #148235

# Submission time Handle Problem Language Result Execution time Memory
148235 2019-08-31T18:11:21 Z 조팍시\n123(#3740, tlwpdus, ainta, cki86201) Trip to the Galapagos Islands (FXCUP4_island) C++17
70 / 100
 5000 ms 59664 KB 
#include "island.h"
#include <cstdio>
#include <algorithm>
#include <vector>
#include <queue>
#include <set>
using namespace std;
#define pii pair<int,int>
#define SZ 262144

int Col[101000], n, m, UF[101000], par[101000][20], Mx[101000][20], Dep[101000], Num[101000], Ed[101000], cnt, D[101000], vis[101000], Fnum[101000], pL[101000], P[101000];
vector<int>E[101000], L[101000], FF[101000], Fre, Ch[101000];
int DD[1667][100010], TH = 60, ReNum[101000];
int Find(int a) {
	if (a == UF[a])return a;
	return UF[a] = Find(UF[a]);
}
void Add_Edge(int a, int b, int c) {
	E[a].push_back(b);
	E[b].push_back(a);
	L[a].push_back(c);
	L[b].push_back(c);
}
void DFS(int a, int pp) {
	Num[a] = ++cnt;
	ReNum[cnt] = a;
	par[a][0] = pp;
	P[a] = pp;
	for (int i = 0; i < 18; i++) {
		par[a][i + 1] = par[par[a][i]][i];
		Mx[a][i + 1] = max(Mx[par[a][i]][i], Mx[a][i]);
	}
	for (int i = 0; i < E[a].size(); i++) {
		int x = E[a][i];
		if (x == pp)continue;
		Mx[x][0] = L[a][i];
		pL[x] = L[a][i];
		Dep[x] = Dep[a] + 1;
		Ch[a].push_back(x);
		DFS(x, a);
	}
	Ed[a] = cnt;
}

void Do1(int a) {
	int i;
	for (i = n; i > 1; i--) {
		int a = ReNum[i];
		D[P[a]] = min(D[P[a]], max(D[a],pL[a]));
	}
}
void Do2(int a) {
	int i;
	for (i = 2; i <= n; i++) {
		int a = ReNum[i];
		D[a] = min(D[a], max(D[P[a]], pL[a]));
	}
}


void Init(int K, std::vector<int> F, std::vector<int> A, std::vector<int> B) {
	int i, j;
	n = F.size(), m = A.size();
	reverse(A.begin(), A.end());
	reverse(B.begin(), B.end());
	for (i = 1; i <= n; i++) {
		UF[i] = i;
		Col[i] = F[i - 1] + 1;
		FF[Col[i]].push_back(i);
	}
	for (i = 0; i < m; i++) {
		int a = A[i] + 1, b = B[i] + 1;
		if (Find(a) != Find(b)) {
			UF[Find(a)] = Find(b);
			Add_Edge(a, b, i + 1);
		}
	}
	DFS(1, 0);
	for (i = 1; i <= n; i++) {
		if (FF[i].size() >= TH) {
			Fre.push_back(i);
			for (j = 1; j <= n; j++) {
				D[j] = 1e9;
				vis[j] = 0;
			}
			for (auto &x : FF[i]) {
				D[x] = 0;
			}
			Do1(1);
			Do2(1);
			int cur = Fre.size() - 1;
			Fnum[i] = cur;
			for (j = 1; j <= K; j++) DD[cur][j] = 1e9;
			for (j = 1; j <= n; j++)DD[cur][Col[j]] = min(DD[cur][Col[j]], D[j]);
		}
	}
	for (i = 1; i <= n; i++)vis[i] = 0;
}

int Up(int a, int d) {
	int i = 0;
	while (d) {
		if (d & 1)a = par[a][i];
		d >>= 1; i++;
	}
	return a;
}

int LCA(int a, int b) {
	if (Dep[a] < Dep[b])return LCA(b, a);
	int d = Dep[a] - Dep[b], i;
	a = Up(a, d);
	for (i = 17; i >= 0; i--)if (par[a][i] != par[b][i])a = par[a][i], b = par[b][i];
	if (a != b)a = par[a][0];
	return a;
}

vector<int>G[101000], GL[101000];

int UpMax(int a, int d) {
	int r = 0, i = 0;
	while (d) {
		if (d & 1) {
			r = max(r, Mx[a][i]);
			a = par[a][i];
		}
		d >>= 1; i++;
	}
	return r;
}

void Add(int a, int b) {
	G[a].push_back(b);
	G[b].push_back(a);
	int d = Dep[a] - Dep[b];
	int l = UpMax(a, d);
	GL[a].push_back(l);
	GL[b].push_back(l);
}

int st[10100];

int T[10100], vv[101000];

int Separate(int A, int B) {
	A++, B++;
	if (FF[A].size() >= TH)return m + 1 - DD[Fnum[A]][B];
	if (FF[B].size() >= TH)return m + 1 - DD[Fnum[B]][A];
	int cnt = 0;
	for (auto &t : FF[A])T[cnt++] = Num[t];
	for (auto &t : FF[B])T[cnt++] = Num[t];
	sort(T, T + cnt);
	for (int i = 0; i < cnt; i++)vv[T[i]] = 1;
	int tc = cnt;
	for (int i = 1; i < tc; i++) {
		int a = Num[LCA(ReNum[T[i - 1]], ReNum[T[i]])];
		if (!vv[a]) {
			vv[a] = 1;
			T[cnt++] = a;
		}
	}
	sort(T, T + cnt);
	for (int i = 0; i < cnt; i++)vv[T[i]] = 0;
	int top = 0;
	for (int i = 0; i < cnt; i++) {
		int a = ReNum[T[i]];
		while (top && (Num[a] < Num[st[top]] || Ed[st[top]] < Num[a])) top--;
		if (top) {
			Add(a, st[top]);
		}
		st[++top] = a;
	}


	priority_queue<pii>PQ;
	for (int i=0;i<cnt;i++) {
		int a = ReNum[T[i]];
		D[a] = 1e9;
		vis[a] = 0;
	}
	for (auto &x : FF[A]) {
		PQ.push({ 0,x });
		D[x] = 0;
	}
	while (!PQ.empty()) {
		pii tp = PQ.top();
		PQ.pop();
		int x = tp.second;
		if (vis[x])continue;
		vis[x] = 1;
		for (int j = 0; j < G[x].size(); j++) {
			int d = max(D[x], GL[x][j]), t = G[x][j];
			if (D[t] > d) {
				D[t] = d;
				PQ.push({ -d, t });
			}
		}
	}
	int res = 1e9;
	for (auto &x : FF[B]) {
		res = min(res, D[x]);
	}

	for (int i = 0; i < cnt; i++) {
		int a = ReNum[T[i]];
		G[a].clear();
		GL[a].clear();
	}
	return m + 1 - res;
}

Compilation message

island.cpp: In function 'void DFS(int, int)':
island.cpp:33:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for (int i = 0; i < E[a].size(); i++) {
                  ~~^~~~~~~~~~~~~
island.cpp: In function 'void Init(int, std::vector<int>, std::vector<int>, std::vector<int>)':
island.cpp:80:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   if (FF[i].size() >= TH) {
       ~~~~~~~~~~~~~^~~~~
island.cpp: In function 'int Separate(int, int)':
island.cpp:147:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  if (FF[A].size() >= TH)return m + 1 - DD[Fnum[A]][B];
      ~~~~~~~~~~~~~^~~~~
island.cpp:148:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  if (FF[B].size() >= TH)return m + 1 - DD[Fnum[B]][A];
      ~~~~~~~~~~~~~^~~~~
island.cpp:191:21: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for (int j = 0; j < G[x].size(); j++) {
                   ~~^~~~~~~~~~~~~

Subtask #1
31.0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 667 ms 53080 KB Output is correct
2 Correct 740 ms 53048 KB Output is correct
3 Correct 666 ms 53052 KB Output is correct
4 Correct 696 ms 53168 KB Output is correct
5 Correct 583 ms 53140 KB Output is correct
6 Correct 665 ms 53076 KB Output is correct
7 Correct 568 ms 53044 KB Output is correct
8 Correct 548 ms 53052 KB Output is correct
9 Correct 575 ms 53076 KB Output is correct
10 Correct 669 ms 53104 KB Output is correct

Subtask #2
39.0 / 39.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 14720 KB Output is correct
2 Correct 17 ms 14720 KB Output is correct
3 Correct 453 ms 48484 KB Output is correct
4 Correct 475 ms 48608 KB Output is correct
5 Correct 539 ms 48480 KB Output is correct
6 Correct 605 ms 48760 KB Output is correct
7 Correct 846 ms 49088 KB Output is correct
8 Correct 1287 ms 49888 KB Output is correct
9 Correct 2419 ms 52448 KB Output is correct
10 Correct 4006 ms 57244 KB Output is correct
11 Correct 4194 ms 57160 KB Output is correct
12 Correct 4336 ms 57184 KB Output is correct

Subtask #3
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 14720 KB Output is correct
2 Correct 17 ms 14720 KB Output is correct
3 Correct 667 ms 53080 KB Output is correct
4 Correct 740 ms 53048 KB Output is correct
5 Correct 666 ms 53052 KB Output is correct
6 Correct 696 ms 53168 KB Output is correct
7 Correct 583 ms 53140 KB Output is correct
8 Correct 665 ms 53076 KB Output is correct
9 Correct 568 ms 53044 KB Output is correct
10 Correct 548 ms 53052 KB Output is correct
11 Correct 575 ms 53076 KB Output is correct
12 Correct 669 ms 53104 KB Output is correct
13 Correct 453 ms 48484 KB Output is correct
14 Correct 475 ms 48608 KB Output is correct
15 Correct 539 ms 48480 KB Output is correct
16 Correct 605 ms 48760 KB Output is correct
17 Correct 846 ms 49088 KB Output is correct
18 Correct 1287 ms 49888 KB Output is correct
19 Correct 2419 ms 52448 KB Output is correct
20 Correct 4006 ms 57244 KB Output is correct
21 Correct 4194 ms 57160 KB Output is correct
22 Correct 4336 ms 57184 KB Output is correct
23 Execution timed out 5101 ms 59664 KB Time limit exceeded
24 Halted 0 ms 0 KB -