| # |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
| 512832 |
2022-01-16T18:46:14 Z |
MathMate |
Game (IOI14_game) |
C++17 |
|
337 ms |
19344 KB |
// #include <game.h>
#include <bits/stdc++.h>
using namespace std;
const int MAX_N = 1.5e3 + 5;
// graf_ustawionych -> graf krawedzi ustawionych i przyjmuje, ze mozliwe nie sa ustawione
// graf_ustawionych_i_mozliwych -> graf krawedzi ustawionych i przyjmuje, ze mozliwe tez sa ustawione
// Na poczatku ma wszystkie krawedzie sa nieustawione w grafie graf_ustawionych
// Na poczatku ma wszystkie krawedzie sa ustawione w grafie graf_ustawionych_i_mozliwych
// Na zapytanie o to czy {a, b} sa polaczone:
// * "YES" -> gdy {a, b} jest mostem w grafie_ustawionych_i_mozliwych
// * "NO" -> w przeciwnym przypadku
// Czyli innymi slowy odpowiadamy:
// * "YES" -> w przeciwnym przypadku
// * "NO" -> gdy {a, b} nalezy do cyklu w grafie_ustawionych_i_mozliwych
// Zeby rozwiazac to szybciej niz w O(MAX_N ^ 4) -> czyli w O(MAX_N ^ 2)
// Do znajdowania mostow posluzymy sie struktura F & U (DSU)
// I tablice ilosc_krawedzi_laczacych_wierzcholki[a][b], ktora bedzie mowila nam
// Ile krawedzi laczy find_set(a) z find_set(b)
// Krawedz {a, b} bedzie mostem w grafie_ustawionych_i_mozliwych,
// Jesli ilosc_krawedzi_laczacych_wierzcholki[a][b] == 1
// union_sets() zajmuje O(n), a find_set() zajmuje O(1)
// Poczatkowo ilosc_krawedzi_laczacych_wierzcholki[a][b] == 1 dla kazdej pary {a, b},
// Gdzie a != b
// Jesli odpowiadamy "NO", to zmniejszamy ilosc_krawedzi_laczacych_wierzcholki[a][b] i ilosc_krawedzi_laczacych_wierzcholki[b][a] o 1
// Jesli odpowiadamy "YES", to dla kazdego reprezentanta i,
// Robimy ilosc_krawedzi_laczacych_wierzcholki[a][i] += ilosc_krawedzi_laczacych_wierzcholki[b][i]
// Operacji union_set() moze byc maksymalnie (n - 1), wiec wszystkie operacje union_set() to O(MAX_N ^ 2)
// Update ilosc_krawedzi_laczacych_wierzcholki[a][b] w przypadku "YES", to O(n), ale operacji update wykonamy maksymalnie (n - 1), wiec wszystkie updaty to O(MAX_N ^ 2)
// Calkowita zlozonosc: O(MAX_N ^ 2)
int ilosc_krawedzi_laczacych_wierzcholki[MAX_N][MAX_N];
vector <int> rodzic(MAX_N);
int n;
int find_set(int v)
{
if(v == rodzic[v])
{
return v;
}
return rodzic[v] = find_set(rodzic[v]);
}
void make_set(int v)
{
rodzic[v] = v;
}
void union_sets(int a, int b)
{
a = find_set(a);
b = find_set(b);
for(int i = 0; i < n; i++)
{
int reprezentant_i = find_set(i);
if(reprezentant_i == i)
{
ilosc_krawedzi_laczacych_wierzcholki[a][i] += ilosc_krawedzi_laczacych_wierzcholki[b][i];
ilosc_krawedzi_laczacych_wierzcholki[i][a] = ilosc_krawedzi_laczacych_wierzcholki[a][i];
}
}
rodzic[b] = a;
}
bool check(int a, int b)
{
return find_set(a) == find_set(b);
}
void initialize(int ilosc_wierzcholkow)
{
n = ilosc_wierzcholkow;
for(int i = 0; i < n; i++)
{
make_set(i);
}
for(int i = 0; i < n; i++)
{
for(int j = i + 1; j < n; j++)
{
ilosc_krawedzi_laczacych_wierzcholki[i][j] = (i != j);
ilosc_krawedzi_laczacych_wierzcholki[j][i] = (i != j);
}
}
}
int hasEdge(int a, int b)
{
a = find_set(a);
b = find_set(b);
if(a == b)
{
return 0;
}
bool ok = (ilosc_krawedzi_laczacych_wierzcholki[a][b] == 1);
if(ok)
{
union_sets(a, b);
}
else
{
ilosc_krawedzi_laczacych_wierzcholki[a][b]--;
ilosc_krawedzi_laczacych_wierzcholki[b][a]--;
}
return ok;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
204 KB |
Output is correct |
| 2 |
Correct |
0 ms |
204 KB |
Output is correct |
| 3 |
Correct |
0 ms |
332 KB |
Output is correct |
| 4 |
Correct |
0 ms |
332 KB |
Output is correct |
| 5 |
Correct |
0 ms |
204 KB |
Output is correct |
| 6 |
Correct |
0 ms |
204 KB |
Output is correct |
| 7 |
Correct |
0 ms |
204 KB |
Output is correct |
| 8 |
Correct |
0 ms |
204 KB |
Output is correct |
| 9 |
Correct |
0 ms |
204 KB |
Output is correct |
| 10 |
Correct |
0 ms |
204 KB |
Output is correct |
| 11 |
Correct |
0 ms |
332 KB |
Output is correct |
| 12 |
Correct |
0 ms |
204 KB |
Output is correct |
| 13 |
Correct |
0 ms |
204 KB |
Output is correct |
| 14 |
Correct |
0 ms |
204 KB |
Output is correct |
| 15 |
Correct |
0 ms |
204 KB |
Output is correct |
| 16 |
Correct |
0 ms |
204 KB |
Output is correct |
| 17 |
Correct |
0 ms |
204 KB |
Output is correct |
| 18 |
Correct |
0 ms |
204 KB |
Output is correct |
| 19 |
Correct |
0 ms |
204 KB |
Output is correct |
| 20 |
Correct |
0 ms |
204 KB |
Output is correct |
| 21 |
Correct |
0 ms |
204 KB |
Output is correct |
| 22 |
Correct |
0 ms |
204 KB |
Output is correct |
| 23 |
Correct |
0 ms |
204 KB |
Output is correct |
| 24 |
Correct |
0 ms |
204 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
204 KB |
Output is correct |
| 2 |
Correct |
0 ms |
332 KB |
Output is correct |
| 3 |
Correct |
0 ms |
332 KB |
Output is correct |
| 4 |
Correct |
0 ms |
204 KB |
Output is correct |
| 5 |
Correct |
0 ms |
204 KB |
Output is correct |
| 6 |
Correct |
0 ms |
204 KB |
Output is correct |
| 7 |
Correct |
0 ms |
204 KB |
Output is correct |
| 8 |
Correct |
0 ms |
332 KB |
Output is correct |
| 9 |
Correct |
0 ms |
204 KB |
Output is correct |
| 10 |
Correct |
0 ms |
332 KB |
Output is correct |
| 11 |
Correct |
0 ms |
204 KB |
Output is correct |
| 12 |
Correct |
0 ms |
204 KB |
Output is correct |
| 13 |
Correct |
0 ms |
204 KB |
Output is correct |
| 14 |
Correct |
1 ms |
204 KB |
Output is correct |
| 15 |
Correct |
1 ms |
204 KB |
Output is correct |
| 16 |
Correct |
0 ms |
204 KB |
Output is correct |
| 17 |
Correct |
0 ms |
204 KB |
Output is correct |
| 18 |
Correct |
0 ms |
204 KB |
Output is correct |
| 19 |
Correct |
0 ms |
204 KB |
Output is correct |
| 20 |
Correct |
0 ms |
204 KB |
Output is correct |
| 21 |
Correct |
0 ms |
204 KB |
Output is correct |
| 22 |
Correct |
1 ms |
204 KB |
Output is correct |
| 23 |
Correct |
0 ms |
204 KB |
Output is correct |
| 24 |
Correct |
0 ms |
204 KB |
Output is correct |
| 25 |
Correct |
1 ms |
332 KB |
Output is correct |
| 26 |
Correct |
1 ms |
332 KB |
Output is correct |
| 27 |
Correct |
1 ms |
332 KB |
Output is correct |
| 28 |
Correct |
1 ms |
332 KB |
Output is correct |
| 29 |
Correct |
1 ms |
332 KB |
Output is correct |
| 30 |
Correct |
0 ms |
332 KB |
Output is correct |
| 31 |
Correct |
0 ms |
332 KB |
Output is correct |
| 32 |
Correct |
0 ms |
332 KB |
Output is correct |
| 33 |
Correct |
1 ms |
332 KB |
Output is correct |
| 34 |
Correct |
1 ms |
588 KB |
Output is correct |
| 35 |
Correct |
1 ms |
588 KB |
Output is correct |
| 36 |
Correct |
1 ms |
588 KB |
Output is correct |
| 37 |
Correct |
1 ms |
588 KB |
Output is correct |
| 38 |
Correct |
1 ms |
588 KB |
Output is correct |
| 39 |
Correct |
1 ms |
588 KB |
Output is correct |
| 40 |
Correct |
1 ms |
588 KB |
Output is correct |
| 41 |
Correct |
1 ms |
588 KB |
Output is correct |
| 42 |
Correct |
1 ms |
588 KB |
Output is correct |
| 43 |
Correct |
1 ms |
588 KB |
Output is correct |
| 44 |
Correct |
1 ms |
588 KB |
Output is correct |
| 45 |
Correct |
1 ms |
588 KB |
Output is correct |
| 46 |
Correct |
1 ms |
588 KB |
Output is correct |
| 47 |
Correct |
1 ms |
588 KB |
Output is correct |
| 48 |
Correct |
1 ms |
588 KB |
Output is correct |
| 49 |
Correct |
1 ms |
588 KB |
Output is correct |
| 50 |
Correct |
1 ms |
588 KB |
Output is correct |
| 51 |
Correct |
1 ms |
588 KB |
Output is correct |
| 52 |
Correct |
1 ms |
588 KB |
Output is correct |
| 53 |
Correct |
1 ms |
588 KB |
Output is correct |
| 54 |
Correct |
2 ms |
588 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
204 KB |
Output is correct |
| 2 |
Correct |
0 ms |
204 KB |
Output is correct |
| 3 |
Correct |
0 ms |
332 KB |
Output is correct |
| 4 |
Correct |
1 ms |
204 KB |
Output is correct |
| 5 |
Correct |
0 ms |
204 KB |
Output is correct |
| 6 |
Correct |
0 ms |
204 KB |
Output is correct |
| 7 |
Correct |
0 ms |
204 KB |
Output is correct |
| 8 |
Correct |
0 ms |
332 KB |
Output is correct |
| 9 |
Correct |
0 ms |
204 KB |
Output is correct |
| 10 |
Correct |
0 ms |
204 KB |
Output is correct |
| 11 |
Correct |
0 ms |
332 KB |
Output is correct |
| 12 |
Correct |
0 ms |
204 KB |
Output is correct |
| 13 |
Correct |
0 ms |
332 KB |
Output is correct |
| 14 |
Correct |
1 ms |
204 KB |
Output is correct |
| 15 |
Correct |
0 ms |
204 KB |
Output is correct |
| 16 |
Correct |
0 ms |
204 KB |
Output is correct |
| 17 |
Correct |
0 ms |
204 KB |
Output is correct |
| 18 |
Correct |
1 ms |
204 KB |
Output is correct |
| 19 |
Correct |
0 ms |
332 KB |
Output is correct |
| 20 |
Correct |
0 ms |
332 KB |
Output is correct |
| 21 |
Correct |
0 ms |
204 KB |
Output is correct |
| 22 |
Correct |
0 ms |
204 KB |
Output is correct |
| 23 |
Correct |
0 ms |
332 KB |
Output is correct |
| 24 |
Correct |
0 ms |
208 KB |
Output is correct |
| 25 |
Correct |
0 ms |
332 KB |
Output is correct |
| 26 |
Correct |
1 ms |
332 KB |
Output is correct |
| 27 |
Correct |
1 ms |
332 KB |
Output is correct |
| 28 |
Correct |
0 ms |
332 KB |
Output is correct |
| 29 |
Correct |
1 ms |
332 KB |
Output is correct |
| 30 |
Correct |
1 ms |
332 KB |
Output is correct |
| 31 |
Correct |
0 ms |
332 KB |
Output is correct |
| 32 |
Correct |
1 ms |
332 KB |
Output is correct |
| 33 |
Correct |
1 ms |
332 KB |
Output is correct |
| 34 |
Correct |
1 ms |
588 KB |
Output is correct |
| 35 |
Correct |
1 ms |
588 KB |
Output is correct |
| 36 |
Correct |
1 ms |
588 KB |
Output is correct |
| 37 |
Correct |
1 ms |
588 KB |
Output is correct |
| 38 |
Correct |
1 ms |
588 KB |
Output is correct |
| 39 |
Correct |
1 ms |
588 KB |
Output is correct |
| 40 |
Correct |
1 ms |
588 KB |
Output is correct |
| 41 |
Correct |
2 ms |
588 KB |
Output is correct |
| 42 |
Correct |
1 ms |
588 KB |
Output is correct |
| 43 |
Correct |
1 ms |
588 KB |
Output is correct |
| 44 |
Correct |
2 ms |
588 KB |
Output is correct |
| 45 |
Correct |
1 ms |
588 KB |
Output is correct |
| 46 |
Correct |
1 ms |
588 KB |
Output is correct |
| 47 |
Correct |
1 ms |
588 KB |
Output is correct |
| 48 |
Correct |
1 ms |
592 KB |
Output is correct |
| 49 |
Correct |
1 ms |
592 KB |
Output is correct |
| 50 |
Correct |
1 ms |
588 KB |
Output is correct |
| 51 |
Correct |
1 ms |
588 KB |
Output is correct |
| 52 |
Correct |
1 ms |
588 KB |
Output is correct |
| 53 |
Correct |
1 ms |
588 KB |
Output is correct |
| 54 |
Correct |
2 ms |
588 KB |
Output is correct |
| 55 |
Correct |
34 ms |
4112 KB |
Output is correct |
| 56 |
Correct |
34 ms |
4164 KB |
Output is correct |
| 57 |
Correct |
33 ms |
4676 KB |
Output is correct |
| 58 |
Correct |
34 ms |
4296 KB |
Output is correct |
| 59 |
Correct |
36 ms |
5048 KB |
Output is correct |
| 60 |
Correct |
33 ms |
4980 KB |
Output is correct |
| 61 |
Correct |
36 ms |
5044 KB |
Output is correct |
| 62 |
Correct |
35 ms |
4500 KB |
Output is correct |
| 63 |
Correct |
35 ms |
4128 KB |
Output is correct |
| 64 |
Correct |
33 ms |
4108 KB |
Output is correct |
| 65 |
Correct |
32 ms |
4092 KB |
Output is correct |
| 66 |
Correct |
34 ms |
4108 KB |
Output is correct |
| 67 |
Correct |
36 ms |
4208 KB |
Output is correct |
| 68 |
Correct |
36 ms |
5064 KB |
Output is correct |
| 69 |
Correct |
43 ms |
4176 KB |
Output is correct |
| 70 |
Correct |
35 ms |
4152 KB |
Output is correct |
| 71 |
Correct |
33 ms |
4256 KB |
Output is correct |
| 72 |
Correct |
32 ms |
4092 KB |
Output is correct |
| 73 |
Correct |
35 ms |
4164 KB |
Output is correct |
| 74 |
Correct |
37 ms |
4180 KB |
Output is correct |
| 75 |
Correct |
33 ms |
4164 KB |
Output is correct |
| 76 |
Correct |
77 ms |
6880 KB |
Output is correct |
| 77 |
Correct |
81 ms |
7136 KB |
Output is correct |
| 78 |
Correct |
75 ms |
8816 KB |
Output is correct |
| 79 |
Correct |
75 ms |
7792 KB |
Output is correct |
| 80 |
Correct |
80 ms |
6852 KB |
Output is correct |
| 81 |
Correct |
77 ms |
6836 KB |
Output is correct |
| 82 |
Correct |
76 ms |
6800 KB |
Output is correct |
| 83 |
Correct |
77 ms |
6840 KB |
Output is correct |
| 84 |
Correct |
79 ms |
6904 KB |
Output is correct |
| 85 |
Correct |
136 ms |
10420 KB |
Output is correct |
| 86 |
Correct |
133 ms |
11460 KB |
Output is correct |
| 87 |
Correct |
137 ms |
9752 KB |
Output is correct |
| 88 |
Correct |
140 ms |
9796 KB |
Output is correct |
| 89 |
Correct |
137 ms |
10692 KB |
Output is correct |
| 90 |
Correct |
181 ms |
11504 KB |
Output is correct |
| 91 |
Correct |
146 ms |
10712 KB |
Output is correct |
| 92 |
Correct |
149 ms |
9700 KB |
Output is correct |
| 93 |
Correct |
133 ms |
9676 KB |
Output is correct |
| 94 |
Correct |
324 ms |
17720 KB |
Output is correct |
| 95 |
Correct |
332 ms |
16816 KB |
Output is correct |
| 96 |
Correct |
320 ms |
19344 KB |
Output is correct |
| 97 |
Correct |
337 ms |
18324 KB |
Output is correct |
| 98 |
Correct |
333 ms |
17660 KB |
Output is correct |
| 99 |
Correct |
320 ms |
19300 KB |
Output is correct |
| 100 |
Correct |
337 ms |
18116 KB |
Output is correct |
