結果
| 問題 | No.382 シャイな人たち (2) |
| ユーザー |
 37zigen
|
| 提出日時 | 2016-06-25 17:46:17 |
| 言語 | Java21 (openjdk 21) |
| 結果 |
AC
|
| 実行時間 | 5,147 ms / 8,000 ms |
| コード長 | 14,305 bytes |
| コンパイル時間 | 3,200 ms |
| コンパイル使用メモリ | 91,412 KB |
| 実行使用メモリ | 68,748 KB |
| 最終ジャッジ日時 | 2024-10-11 23:24:18 |
| 合計ジャッジ時間 | 90,397 ms |
|
ジャッジサーバーID （参考情報） |
judge4 / judge3 |
（要ログイン）
テストケース
テストケース表示| 入力 | 結果 | 実行時間 実行使用メモリ |
|---|---|---|
| testcase_00 | AC | 4,981 ms
66,936 KB |
| testcase_01 | AC | 4,534 ms
66,540 KB |
| testcase_02 | AC | 4,241 ms
66,616 KB |
| testcase_03 | AC | 4,418 ms
66,700 KB |
| testcase_04 | AC | 3,922 ms
68,748 KB |
| testcase_05 | AC | 4,111 ms
66,524 KB |
| testcase_06 | AC | 3,713 ms
65,040 KB |
| testcase_07 | AC | 4,324 ms
62,808 KB |
| testcase_08 | AC | 3,872 ms
63,056 KB |
| testcase_09 | AC | 3,931 ms
62,588 KB |
| testcase_10 | AC | 4,068 ms
63,172 KB |
| testcase_11 | AC | 5,147 ms
64,208 KB |
| testcase_12 | AC | 3,403 ms
66,328 KB |
| testcase_13 | AC | 3,923 ms
60,684 KB |
| testcase_14 | AC | 3,694 ms
62,208 KB |
| testcase_15 | AC | 3,291 ms
60,192 KB |
| testcase_16 | AC | 3,405 ms
63,904 KB |
| testcase_17 | AC | 3,154 ms
62,180 KB |
| testcase_18 | AC | 4,338 ms
63,256 KB |
| testcase_19 | AC | 4,384 ms
63,544 KB |
| testcase_20 | AC | 154 ms
41,312 KB |
ソースコード
package yukicoder;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.HashSet;
import java.util.Iterator;
import java.util.Scanner;
import java.util.Set;
public class Main {
public static void main(String[] args) {
new Main().solver();
}
void solver() {
Scanner sc = new Scanner(System.in);
long S = sc.nextLong();
long Start = System.currentTimeMillis();
Graph g = set_edge(S);
Pair p = ms(g);
int n = g.n;
if (p.cardinality == n) {
System.out.println(-1);
} else {
System.out.println((p.cardinality + 1));
boolean f = false;
for (int i = 0; i < p.choosed_vertices.length; i++) {
if (p.choosed_vertices[i]) {
System.out.print((!f ? "" : " ") + (i + 1));
f = true;
}
}
System.out.println();
}
long T = System.currentTimeMillis();
System.err.println((T - Start) + "ms");
}
final long MOD = 1000003;
Graph set_edge(long S) {
S = (S * 12345) % MOD;
int N = (int) (S % 120) + 2;
Graph g = new Graph(N);
S = (S * 12345) % MOD;
long P = S;
for (int i = 0; i < N; i++) {
for (int j = i + 1; j < N; j++) {
S = (S * 12345) % MOD;
if (S >= P) {
g.set_edge(i, j);
}
}
}
return g;
}
// 無向グラフ
class Graph {
ArrayList<Integer>[] e;
int n;
int[] deg;
boolean[] valid_vertices;// 選ぶことのできる頂点
boolean[] choosed_vertices;// 選ばれた頂点
Graph(int n) {
this.n = n;
deg = new int[n];
valid_vertices = new boolean[n];
choosed_vertices = new boolean[n];
Arrays.fill(valid_vertices, true);
e = new ArrayList[n];
for (int i = 0; i < n; i++) {
e[i] = new ArrayList<>();
}
}
// 無向グラフの辺a<->を作成
void set_edge(int a, int b) {
if (!e[a].contains((Integer) b)) {
e[a].add(b);
e[b].add(a);
deg[a]++;
deg[b]++;
}
}
// 辺a<->bを消去
void delete_undirected_edge(int a, int b) {
e[a].remove((Integer) b);
e[b].remove((Integer) a);
deg[a]--;
deg[b]--;
}
// 頂点vを消去
void delete_vertice(int v) {
while (e[v].size() > 0) {
int u = e[v].get(0);
delete_undirected_edge(u, v);
}
valid_vertices[v] = false;
}
// 頂点vと、vの隣接頂点を消去
void delete_v_with_neighbours(int v) {
while (e[v].size() > 0) {
int u = e[v].get(0);
delete_vertice(u);
}
delete_vertice(v);
}
// deep copy
Graph copy() {
Graph g = new Graph(this.n);
for (int i = 0; i < n; i++) {
g.deg[i] = deg[i];
}
for (int i = 0; i < n; i++) {
g.valid_vertices[i] = valid_vertices[i];
}
for (int i = 0; i < n; i++) {
for (int j = 0; j < e[i].size(); j++) {
(g.e[i]).add(e[i].get(j));
}
}
return g;
}
}
Pair ms(Graph g) {
int[] deg = g.deg;
ArrayList<Integer>[] e = g.e;
boolean[] valid_vertices = g.valid_vertices;
int n = g.n;
int A = -1;// 最も次数の小さい頂点
int B = -1;// Aにつながる頂点のうち最も次数の大きいもの
int deg_me_min = Integer.MAX_VALUE / 4;
int deg_to_max = -Integer.MAX_VALUE / 4;
for (int i = 0; i < n; i++) {
if (!valid_vertices[i])
continue;
if (deg[i] < deg_me_min) {
A = i;
deg_me_min = deg[A];
if (deg_me_min <= 1) {
g.delete_v_with_neighbours(A);
Pair p = ms(g);
p.choosed_vertices[A] = true;
p.cardinality++;
return p;
}
B = e[A].get(0);
deg_to_max = deg[B];
for (int j = 1; j < e[A].size(); j++) {
int u = e[A].get(j);
if (deg[u] > deg_to_max) {
B = u;
deg_to_max = deg[B];
}
}
} else if (deg[i] == deg_me_min) {
for (int j = 0; j < e[A].size(); j++) {
int u = e[A].get(j);
if (deg[u] > deg_to_max) {
A = i;
B = u;
deg_to_max = deg[B];
}
}
}
}
if (A == -1 && B == -1)
return new Pair(0, new boolean[n]);
if (A == -1 || B == -1)
throw new AssertionError("A==-1||B==-1");
if (deg[A] > deg[B])
throw new AssertionError("deg[A]>deg[B]");
if (deg[A] == 2) {
int B2 = -1;
if (e[A].get(0) != B) {
B2 = e[A].get(0);
} else if (e[A].get(1) != B) {
B2 = e[A].get(1);
}
if (edge(B2,B,e)) {
g.delete_v_with_neighbours(A);
Pair p = ms(g);
p.cardinality++;
p.choosed_vertices[A] = true;
return p;
}else{
Graph g2 = g.copy();
g2.delete_v_with_neighbours(B);
g2.delete_v_with_neighbours(B2);
Pair p = ms(g2);
p.cardinality += 2;
p.choosed_vertices[B] = true;
p.choosed_vertices[B2] = true;
ArrayList<Integer> neighbour = new ArrayList<>();
for (int i = 0; i < 2; i++) {
int u = (i == 0 ? B : B2);// u is an element of N(A)
for (int j = 0; j < e[u].size(); j++) {
int v = e[u].get(j);
if (v == A)
continue;
if (neighbour.contains(v))
continue;
neighbour.add(v);
}
}
g.delete_v_with_neighbours(A);
Pair p2 = ms2(g, neighbour);
p2.cardinality++;
p2.choosed_vertices[A] = true;
p = pair_bigger(p, p2);
return p;
}
}
if (deg[A] == 3) {
Graph g2 = g.copy();
g2.delete_v_with_neighbours(A);
Pair p2 = ms(g2);
p2.cardinality++;
p2.choosed_vertices[A] = true;
ArrayList<Integer> S=new ArrayList<>();
for (int i = 0; i < e[A].size(); i++) {
S.add(e[A].get(i));
}
g.delete_vertice(A);
Pair p1 = ms2(g, S);
return pair_bigger(p1, p2);
}
else if (dominance(B, A, g)) {
g.delete_vertice(B);
Pair p = ms(g);
p.cardinality++;
p.choosed_vertices[B] = true;
return p;
}
Graph g2 = g.copy();
g2.delete_v_with_neighbours(B);
g.delete_vertice(B);
Pair p1 = ms(g);
Pair p2 = ms(g2);
p2.cardinality++;
p2.choosed_vertices[B] = true;
return pair_bigger(p1, p2);
}
// Sから少なくとも二つ使う場合を考える。
Pair ms2(Graph g, ArrayList<Integer> S) {
int[] deg = g.deg;
ArrayList<Integer>[] e = g.e;
boolean[] valid_vertices = g.valid_vertices;
int n = g.n;
Pair p = new Pair(0, new boolean[n]);
if (S.size() <= 1)
return p;
else if (S.size() == 2) {
int u = S.get(0);
int v = S.get(1);
if (edge(u,v,e))
return p;
else {
g.delete_v_with_neighbours(u);
g.delete_v_with_neighbours(v);
p = ms(g);
p.cardinality += 2;
p.choosed_vertices[u] = true;
p.choosed_vertices[v] = true;
return p;
}
} else if (S.size() == 3) {
int[] s = new int[3];
for (int i = 0; i < 3; i++) {
s[i] = S.get(i);
}
// arrange s[i] so that s[0] is the smallest one;
if (deg[s[0]] > deg[s[1]]) {
int d = s[0];
s[0] = s[1];
s[1] = d;
}
if (deg[s[0]] > deg[s[2]]) {
int d = s[0];
s[0] = s[2];
s[2] = d;
}
if (deg[s[0]] == 0) {
g.delete_vertice(s[0]);
S.remove((Integer) s[0]);
p = ms1(g, S);
p.cardinality++;
p.choosed_vertices[s[0]] = true;
return p;
} else if (edge(s[0], s[1], e) && edge(s[1], s[2], e) && edge(s[2], s[0], e)) {
return p;
}
for (int i = 0; i < 3; i++) {
int u = s[(i + 1) % 3];
int v = s[(i + 2) % 3];
if (edge(u, s[i], e) && edge(s[i], v, e)) {
g.delete_v_with_neighbours(u);
g.delete_v_with_neighbours(v);
p = ms(g);
p.cardinality += 2;
p.choosed_vertices[u] = true;
p.choosed_vertices[v] = true;
return p;
}
}
for (int i = 0; i < 3; i++) {
int u = s[(i + 1) % 3];
int v = s[(i + 2) % 3];
if (edge(u, v, e)) {
g.delete_v_with_neighbours(s[i]);
S.remove((Integer) s[i]);
p = ms1(g, S);
p.cardinality++;
p.choosed_vertices[s[i]] = true;
return p;
}
}
for (int i = 0; i < 3; i++) {
int u = s[i];
int v = s[(i + 1) % 3];
ArrayList<Integer> intersection = intersection(e[u], e[v]);
if (intersection.size() >= 1) {
int w = intersection.get(0);
g.delete_vertice(w);
p = ms2(g, S);
return p;
}
}
if (deg[s[0]] == 1) {
g.delete_v_with_neighbours(s[0]);
S.remove((Integer) s[0]);
p = ms1(g, S);
p.cardinality++;
p.choosed_vertices[s[0]] = true;
return p;
} else {
Graph g2 = g.copy();
g2.delete_v_with_neighbours(s[0]);
S.remove((Integer) s[0]);
p = ms1(g2, S);
p.cardinality++;
p.choosed_vertices[s[0]] = true;
g.delete_v_with_neighbours(s[2]);
g.delete_v_with_neighbours(s[1]);
ArrayList<Integer> S2 = new ArrayList<>();
for (int i = 0; i < e[s[0]].size(); i++) {
S2.add(e[s[0]].get(i));
}
g.delete_vertice(s[0]);
Pair p2=ms(g);
// Pair p2 = ms2(g,S2);
p2.cardinality+=2;
p2.choosed_vertices[s[2]]=true;
p2.choosed_vertices[s[1]]=true;
return pair_bigger(p, p2);
}
}
if (S.size() == 4) {
int min_v = S.get(0);
for (int i = 0; i < 4; i++) {
int v = S.get(i);
if (deg[v] < deg[min_v]) {
min_v = v;
}
}
if (deg[min_v] <= 3) {
return ms(g);
} else {
Graph g2 = g.copy();
g.delete_v_with_neighbours(min_v);
p = ms(g);
p.cardinality++;
p.choosed_vertices[min_v] = true;
g2.delete_vertice(min_v);
S.remove((Integer) min_v);
Pair p2 = ms2(g2, S);
return pair_bigger(p, p2);
}
}
if (S.size() <= 4)
throw new AssertionError();
return ms(g);
}
Pair ms1(Graph g, ArrayList<Integer> S) {
int[] deg = g.deg;
ArrayList<Integer>[] e = g.e;
boolean[] valid_vertices = g.valid_vertices;
int n = g.n;
for(int i=0;i<S.size();i++){
int v=S.get(i);
if(!valid_vertices[v]){
throw new AssertionError();
}
}
if (S.size() != 2) {
throw new AssertionError("S.size()!=2");
}
int s1 = S.get(0);
int s2 = S.get(1);
if (deg[s1] > deg[s2]) {
int d = s1;
s1 = s2;
s2 = d;
}
if (deg[s1] <= 1) {
return ms(g);
} else if (edge(s1,s2,e)) {
if (deg[s1] <= 3)
return ms(g);
else {
Graph g2 = g.copy();
g.delete_v_with_neighbours(s1);
Pair p1 = ms(g);
p1.cardinality++;
p1.choosed_vertices[s1] = true;
g2.delete_v_with_neighbours(s2);
Pair p2 = ms(g2);
p2.cardinality++;
p2.choosed_vertices[s2] = true;
return pair_bigger(p1, p2);
}
}
ArrayList<Integer> intersection = intersection(e[s1], e[s2]);
if (intersection.size() != 0) {
for (int i = 0; i < intersection.size(); i++) {
g.delete_vertice(intersection.get(i));
}
return ms1(g, S);
} else if (deg[s2] == 2) {
if (deg[s1] != 2) {
throw new AssertionError("deg[s1]!=2");
}
int E = e[s1].get(0);
int F = e[s1].get(1);
if (is_deg_correct(e, deg)) {
throw new AssertionError();
}
if (edge(E,F,e)) {
g.delete_v_with_neighbours(s1);
Pair p = ms(g);
p.cardinality++;
p.choosed_vertices[s1] = true;
return p;
}
if (is_deg_correct(e, deg)) {
throw new AssertionError();
}
ArrayList<Integer> union = union(e[E], e[F]);
union.remove((Integer) s1);
if (is_deg_correct(e, deg)) {
throw new AssertionError();
}
if (is_subset(union, e[s2])) {
g.delete_v_with_neighbours(E);
g.delete_v_with_neighbours(F);
g.delete_v_with_neighbours(s2);
Pair p = ms(g);
p.cardinality += 3;
p.choosed_vertices[E] = true;
p.choosed_vertices[F] = true;
p.choosed_vertices[s2] = true;
return p;
} else {
Graph g2 = g.copy();
g.delete_v_with_neighbours(E);
g.delete_v_with_neighbours(F);
g.delete_v_with_neighbours(s2);
Pair p = ms(g);
p.cardinality += 3;
p.choosed_vertices[E] = true;
p.choosed_vertices[F] = true;
p.choosed_vertices[s2] = true;
g2.delete_v_with_neighbours(s1);
Pair p2 = ms(g2);
p2.cardinality++;
p2.choosed_vertices[s1] = true;
return pair_bigger(p, p2);
}
} else {
Graph g2 = g.copy();
g.delete_v_with_neighbours(s2);
Pair p = ms(g);
p.cardinality++;
p.choosed_vertices[s2]=true;
g2.delete_v_with_neighbours(s1);
ArrayList<Integer> S2=new ArrayList<>();
for(int i=0;i<e[s2].size();i++){
S2.add(e[s2].get(i));
}
g2.delete_vertice(s2);
Pair p2 = ms2(g2, S2);
p2.cardinality++;
p2.choosed_vertices[s1] = true;
p = pair_bigger(p, p2);
return p;
}
}
class Pair {
int cardinality;
boolean[] choosed_vertices;
Pair(int cardinality, boolean[] choosed_vertices) {
this.cardinality = cardinality;
this.choosed_vertices = choosed_vertices;
}
}
// whethere N(B)&B is subset of N(A)&A or not;
boolean dominance(int A, int B, Graph g) {
Set<Integer>as = new HashSet<>();
Set<Integer> bs = new HashSet<>();
ArrayList<Integer>[] e = g.e;
for (int i = 0; i < e[A].size(); i++) {
as.add(e[A].get(i));
}
for (int i = 0; i < e[B].size(); i++) {
bs.add(e[B].get(i));
}
if (!as.contains(B)) {
as.add(B);
}
if (!bs.contains(A)) {
bs.add(A);
}
if (as.size() < bs.size())
return false;
for (Iterator<Integer> it = bs.iterator(); it.hasNext();) {
if (!as.contains(it.next())) {
return false;
}
}
return true;
}
boolean is_subset(ArrayList<Integer> subset, ArrayList<Integer> superset) {
if (subset.size() > superset.size())
return false;
for (int i = 0; i < subset.size(); i++) {
if (!superset.contains(subset)) {
return false;
}
}
return true;
}
ArrayList<Integer> union(ArrayList<Integer> s1, ArrayList<Integer> s2) {
ArrayList<Integer> ret = new ArrayList<>();
for (int i = 0; i < s1.size(); i++) {
if (!ret.contains(s1.get(i))) {
ret.add(s1.get(i));
}
}
for (int i = 0; i < s2.size(); i++) {
if (!ret.contains(s2.get(i))) {
ret.add(s2.get(i));
}
}
return ret;
}
// 正しくないときにtrueを返す
boolean is_deg_correct(ArrayList<Integer>[] e, int[] deg) {
for (int i = 0; i < deg.length; i++) {
if (deg[i] != e[i].size())
return true;
}
return false;
}
// 頂点u,v間に辺が存在するときtrueを返す。
boolean edge(int u, int v, ArrayList<Integer>[] e) {
if (e[u].contains(v))
return true;
else
return false;
}
@SuppressWarnings({ "rawtypes", "unchecked" })
ArrayList intersection(ArrayList s1, ArrayList s2) {
ArrayList ret = new ArrayList<>();
for (int i = 0; i < s1.size(); i++) {
if (s2.contains(s1.get(i))) {
ret.add(s1.get(i));
}
}
return ret;
}
Pair pair_bigger(Pair p1, Pair p2) {
return p1.cardinality > p2.cardinality ? p1 : p2;
}
}