Submission #62289

# Submission time Handle Problem Language Result Execution time Memory
62289 2018-07-28T02:54:13 Z kriii Cats or Dogs (JOI18_catdog) C++17
100 / 100
544 ms 89044 KB
#include "catdog.h"
#include <algorithm>
using namespace std;

int N;
vector<int> G[100100]; int P[100100];

const int inf = 1000000000;
struct mat{
	mat(long long a, long long b)
	{
		if (a > inf) a = inf;
		if (b > inf) b = inf;
		A[0][0] = a; A[0][1] = a+1;
		A[1][0] = b+1; A[1][1] = b;
	}
	mat()
	{
		A[0][0] = 0; A[0][1] = 1;
		A[1][0] = 1; A[1][1] = 0;
	}
	int A[2][2];

	mat operator *(const mat &t) const{
		mat r(0,0);
		for (int i=0;i<2;i++) for (int j=0;j<2;j++){
			r.A[i][j] = inf;
			for (int k=0;k<2;k++){
				r.A[i][j] = min(r.A[i][j],A[i][k]+t.A[k][j]);
			}
		}
		return r;
	};
};

vector<int> see;
int go(int x, int l)
{
	see.push_back(x);

	P[x] = l;
	auto I = find(G[x].begin(),G[x].end(),l);
	if (I != G[x].end()) G[x].erase(I);

	int sz = 1, mx = 0, v;
	for (auto &y : G[x]){
		int z = go(y,x);
		sz += z;
		if (mx < z)
			mx = z, v = y;
	}

	if (mx){
		auto J = find(G[x].begin(),G[x].end(),v);
		swap(G[x][0],*J);
	}

	return sz;
}

int C,num[100100],pos[100100],sz[100100],pw[100100],la[100100],lb[100100];
vector<long long> chain[100100],addA[100100],addB[100100];
vector<mat> IT[100100];

void initialize(int N_, std::vector<int> A, std::vector<int> B) {
	N = N_;
	for (int i=0;i<A.size();i++){
		int x = A[i], y = B[i];
		G[x].push_back(y);
		G[y].push_back(x);
	}
	go(1,0);

	C++;
	for (int &i : see){
		if (G[i].empty()) continue;
		int x = G[i][0];
		num[x] = num[i];
		for (int j=1;j<G[i].size();j++){
			int y = G[i][j];
			num[y] = C++;
		}
	}
	for (int &i : see){
		pos[i] = sz[num[i]]++;
		chain[num[i]].push_back(i);
	}

	for (int i=0;i<C;i++){
		addA[i].resize(sz[i]);
		addB[i].resize(sz[i]);
		pw[i] = 1;
		while (pw[i] < sz[i]) pw[i] *= 2;
		IT[i].resize(pw[i]*2);
	}
}

void up(vector<mat> &it, int Z, int x, mat t)
{
	x += Z;
	it[x] = t; x /= 2;
	while (x){
		it[x] = it[x*2] * it[x*2+1];
		x /= 2;
	}
}

void push(int x, int a, int b)
{
	bool f = true;
	while (x){
		int n = num[x];
		int v = chain[n][0];
		int p = P[v];
		if (p){
			int A = min(IT[n][1].A[0][0],IT[n][1].A[0][1]);
			int B = min(IT[n][1].A[1][0],IT[n][1].A[1][1]);
			int np = num[p];
			addA[np][pos[p]] -= min(A,B+1);
			addB[np][pos[p]] -= min(A+1,B);
		}

		int ps = pos[x];
		if (f){
			addA[n][ps] -= la[x];
			addB[n][ps] -= lb[x];
			la[x] = a;
			lb[x] = b;
			addA[n][ps] += a;
			addB[n][ps] += b;
			f = 0;
		}
		up(IT[n], pw[n], ps, mat(addA[n][ps],addB[n][ps]));

		if (p){
			int A = min(IT[n][1].A[0][0],IT[n][1].A[0][1]);
			int B = min(IT[n][1].A[1][0],IT[n][1].A[1][1]);
			int np = num[p];
			addA[np][pos[p]] += min(A,B+1);
			addB[np][pos[p]] += min(A+1,B);
		}

		x = p;
	}
}

int getV()
{
	return min({IT[0][1].A[0][0],IT[0][1].A[0][1],IT[0][1].A[1][0],IT[0][1].A[1][1]});
}

int cat(int v) {
	push(v, 0, inf);
	return getV();
}

int dog(int v) {
	push(v, inf ,0);
	return getV();
}

int neighbor(int v) {
	push(v, 0, 0);
	return getV();
}

Compilation message

catdog.cpp: In function 'void initialize(int, std::vector<int>, std::vector<int>)':
catdog.cpp:67:16: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for (int i=0;i<A.size();i++){
               ~^~~~~~~~~
catdog.cpp:79:17: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for (int j=1;j<G[i].size();j++){
                ~^~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 16 ms 12152 KB Output is correct
2 Correct 17 ms 12152 KB Output is correct
3 Correct 16 ms 12152 KB Output is correct
4 Correct 15 ms 12256 KB Output is correct
5 Correct 16 ms 12368 KB Output is correct
6 Correct 17 ms 12368 KB Output is correct
7 Correct 16 ms 12464 KB Output is correct
8 Correct 16 ms 12464 KB Output is correct
9 Correct 16 ms 12484 KB Output is correct
10 Correct 15 ms 12484 KB Output is correct
11 Correct 16 ms 12484 KB Output is correct
12 Correct 13 ms 12484 KB Output is correct
13 Correct 16 ms 12484 KB Output is correct
14 Correct 16 ms 12484 KB Output is correct
15 Correct 14 ms 12484 KB Output is correct
16 Correct 14 ms 12484 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 16 ms 12152 KB Output is correct
2 Correct 17 ms 12152 KB Output is correct
3 Correct 16 ms 12152 KB Output is correct
4 Correct 15 ms 12256 KB Output is correct
5 Correct 16 ms 12368 KB Output is correct
6 Correct 17 ms 12368 KB Output is correct
7 Correct 16 ms 12464 KB Output is correct
8 Correct 16 ms 12464 KB Output is correct
9 Correct 16 ms 12484 KB Output is correct
10 Correct 15 ms 12484 KB Output is correct
11 Correct 16 ms 12484 KB Output is correct
12 Correct 13 ms 12484 KB Output is correct
13 Correct 16 ms 12484 KB Output is correct
14 Correct 16 ms 12484 KB Output is correct
15 Correct 14 ms 12484 KB Output is correct
16 Correct 14 ms 12484 KB Output is correct
17 Correct 16 ms 12680 KB Output is correct
18 Correct 17 ms 12692 KB Output is correct
19 Correct 15 ms 12708 KB Output is correct
20 Correct 15 ms 12708 KB Output is correct
21 Correct 18 ms 12708 KB Output is correct
22 Correct 17 ms 12708 KB Output is correct
23 Correct 18 ms 12804 KB Output is correct
24 Correct 17 ms 12812 KB Output is correct
25 Correct 18 ms 12812 KB Output is correct
26 Correct 14 ms 12812 KB Output is correct
27 Correct 16 ms 12812 KB Output is correct
28 Correct 14 ms 12844 KB Output is correct
29 Correct 14 ms 12852 KB Output is correct
30 Correct 15 ms 12852 KB Output is correct
31 Correct 16 ms 12872 KB Output is correct
32 Correct 17 ms 12872 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 16 ms 12152 KB Output is correct
2 Correct 17 ms 12152 KB Output is correct
3 Correct 16 ms 12152 KB Output is correct
4 Correct 15 ms 12256 KB Output is correct
5 Correct 16 ms 12368 KB Output is correct
6 Correct 17 ms 12368 KB Output is correct
7 Correct 16 ms 12464 KB Output is correct
8 Correct 16 ms 12464 KB Output is correct
9 Correct 16 ms 12484 KB Output is correct
10 Correct 15 ms 12484 KB Output is correct
11 Correct 16 ms 12484 KB Output is correct
12 Correct 13 ms 12484 KB Output is correct
13 Correct 16 ms 12484 KB Output is correct
14 Correct 16 ms 12484 KB Output is correct
15 Correct 14 ms 12484 KB Output is correct
16 Correct 14 ms 12484 KB Output is correct
17 Correct 16 ms 12680 KB Output is correct
18 Correct 17 ms 12692 KB Output is correct
19 Correct 15 ms 12708 KB Output is correct
20 Correct 15 ms 12708 KB Output is correct
21 Correct 18 ms 12708 KB Output is correct
22 Correct 17 ms 12708 KB Output is correct
23 Correct 18 ms 12804 KB Output is correct
24 Correct 17 ms 12812 KB Output is correct
25 Correct 18 ms 12812 KB Output is correct
26 Correct 14 ms 12812 KB Output is correct
27 Correct 16 ms 12812 KB Output is correct
28 Correct 14 ms 12844 KB Output is correct
29 Correct 14 ms 12852 KB Output is correct
30 Correct 15 ms 12852 KB Output is correct
31 Correct 16 ms 12872 KB Output is correct
32 Correct 17 ms 12872 KB Output is correct
33 Correct 255 ms 23108 KB Output is correct
34 Correct 164 ms 25320 KB Output is correct
35 Correct 189 ms 25320 KB Output is correct
36 Correct 364 ms 33448 KB Output is correct
37 Correct 43 ms 33448 KB Output is correct
38 Correct 431 ms 37312 KB Output is correct
39 Correct 366 ms 39220 KB Output is correct
40 Correct 544 ms 41160 KB Output is correct
41 Correct 458 ms 43212 KB Output is correct
42 Correct 504 ms 45100 KB Output is correct
43 Correct 366 ms 47088 KB Output is correct
44 Correct 389 ms 48908 KB Output is correct
45 Correct 408 ms 50888 KB Output is correct
46 Correct 389 ms 52812 KB Output is correct
47 Correct 441 ms 54660 KB Output is correct
48 Correct 195 ms 54904 KB Output is correct
49 Correct 211 ms 60800 KB Output is correct
50 Correct 64 ms 60800 KB Output is correct
51 Correct 79 ms 60800 KB Output is correct
52 Correct 59 ms 60800 KB Output is correct
53 Correct 254 ms 60800 KB Output is correct
54 Correct 148 ms 60800 KB Output is correct
55 Correct 378 ms 60800 KB Output is correct
56 Correct 200 ms 60800 KB Output is correct
57 Correct 273 ms 62920 KB Output is correct
58 Correct 62 ms 62920 KB Output is correct
59 Correct 101 ms 62920 KB Output is correct
60 Correct 183 ms 68644 KB Output is correct
61 Correct 218 ms 71164 KB Output is correct
62 Correct 168 ms 71164 KB Output is correct
63 Correct 76 ms 71164 KB Output is correct
64 Correct 82 ms 71164 KB Output is correct
65 Correct 115 ms 74216 KB Output is correct
66 Correct 69 ms 74216 KB Output is correct
67 Correct 99 ms 74216 KB Output is correct
68 Correct 153 ms 76660 KB Output is correct
69 Correct 36 ms 76660 KB Output is correct
70 Correct 22 ms 76660 KB Output is correct
71 Correct 79 ms 76660 KB Output is correct
72 Correct 129 ms 76964 KB Output is correct
73 Correct 289 ms 83264 KB Output is correct
74 Correct 199 ms 83264 KB Output is correct
75 Correct 178 ms 87128 KB Output is correct
76 Correct 190 ms 89044 KB Output is correct
77 Correct 233 ms 89044 KB Output is correct