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 13:38:31 |
| 言語 | Java21 (openjdk 21) |
| 結果 |
WA
|
| 実行時間 | - |
| コード長 | 14,898 bytes |
| コンパイル時間 | 3,455 ms |
| コンパイル使用メモリ | 91,504 KB |
| 実行使用メモリ | 65,468 KB |
| 最終ジャッジ日時 | 2024-10-11 21:43:07 |
| 合計ジャッジ時間 | 75,111 ms |
|
ジャッジサーバーID （参考情報） |
judge1 / 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 | 3,853 ms
65,368 KB |
| testcase_01 | AC | 3,755 ms
64,912 KB |
| testcase_02 | AC | 3,505 ms
64,500 KB |
| testcase_03 | AC | 3,565 ms
64,816 KB |
| testcase_04 | AC | 2,886 ms
64,516 KB |
| testcase_05 | WA | - |
| testcase_06 | AC | 3,346 ms
65,468 KB |
| testcase_07 | AC | 3,510 ms
63,780 KB |
| testcase_08 | WA | - |
| testcase_09 | AC | 3,078 ms
63,448 KB |
| testcase_10 | AC | 3,439 ms
65,272 KB |
| testcase_11 | AC | 4,109 ms
65,060 KB |
| testcase_12 | AC | 2,684 ms
64,248 KB |
| testcase_13 | AC | 3,312 ms
64,432 KB |
| testcase_14 | AC | 2,954 ms
64,580 KB |
| testcase_15 | WA | - |
| testcase_16 | AC | 3,017 ms
64,612 KB |
| testcase_17 | WA | - |
| testcase_18 | AC | 3,541 ms
64,756 KB |
| testcase_19 | AC | 3,655 ms
64,288 KB |
| testcase_20 | AC | 154 ms
41,620 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();
// new Q382().trial();
}
void trial() {
Scanner sc = new Scanner(System.in);
int N = sc.nextInt();
int[] d = new int[N - 1];
for (int i = 0; i < N - 1; i++) {
d[i] = sc.nextInt();
}
Arrays.sort(d);
for (int i = 0; i < N - 1; i++) {
System.out.println(d[i]);
}
}
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);
if(is_deg_correct(e, deg)){
throw new AssertionError();
}
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].size() != 2){
System.err.println("e[A].size()="+e[A].size());
throw new AssertionError("e[A].size!=2");
}
if (e[A].get(0) != B) {
B2 = e[A].get(0);
} else if (e[A].get(1) != B) {
B2 = e[A].get(1);
} else {
throw new AssertionError();
}
if (e[B2].contains(B)) {
g.delete_v_with_neighbours(A);
if(is_deg_correct(e, deg)){
throw new AssertionError();
}
Pair p = ms(g);
p.cardinality++;
p.choosed_vertices[A] = true;
return p;
}
Graph g2 = g.copy();
g2.delete_v_with_neighbours(B);
g2.delete_v_with_neighbours(B2);
if(is_deg_correct(e, deg)){
throw new AssertionError();
}
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);
if(is_deg_correct(e, deg)){
throw new AssertionError();
}
Pair p2 = ms(g2);
p2.cardinality++;
p2.choosed_vertices[A] = true;
ArrayList<Integer> d = new ArrayList<>();
for (int i = 0; i < e[A].size(); i++) {
d.add(e[A].get(i));
}
g.delete_vertice(A);
Pair p1 = ms2(g, d);
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);
if(is_deg_correct(e, deg)){
throw new AssertionError();
}
Pair p1 = ms(g);
Pair p2 = ms(g2);
p2.cardinality++;
p2.choosed_vertices[B] = true;
if (p1.cardinality > p2.cardinality) {
return p1;
} else {
return 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 (e[u].contains(v))
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 (e[s[0]].contains(s[1]) && e[s[1]].contains(s[2]) && e[s[2]].contains(s[1])) {
return p;
}
for (int i = 0; i < 3; i++) {
int u = s[(i + 1) % 3];
int v = s[(i + 2) % 3];
if (e[u].contains(s[i]) && e[s[i]].contains(v)) {
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 (e[u].contains(s[i])) {
g.delete_v_with_neighbours(v);
S.remove((Integer) v);
p = ms1(g, S);
p.cardinality++;
p.choosed_vertices[v] = true;
return p;
} else if (e[v].contains(s[i])) {
g.delete_v_with_neighbours(u);
S.remove((Integer) u);
p = ms1(g, S);
p.cardinality++;
p.choosed_vertices[u] = true;
return p;
}
}
for (int i = 0; i < 3; i++) {
int u = s[i];
int v = s[(i + 1) % 3];
for (int j = 0; j < e[u].size(); j++) {
int w = e[u].get(j);
if (e[v].contains(w)) {
g.delete_vertice(w);
if(is_deg_correct(e, deg)){
throw new AssertionError();
}
p = ms2(g, S);
return p;
}
}
}
if (deg[s[0]] == 1) {
g.delete_v_with_neighbours(s[0]);
S.remove((Integer) s[0]);
if(is_deg_correct(e, deg)){
throw new AssertionError();
}
p = ms1(g, S);
p.cardinality++;
p.choosed_vertices[s[0]] = true;
return p;
}
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]);
g.delete_vertice(s[0]);
Pair p2 = ms2(g, e[s[0]]);
p = pair_bigger(p, p2);
return p;
}
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);
p = pair_bigger(p, p2);
return p;
}
}
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;
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(is_deg_correct(e, deg)){
throw new AssertionError();
}
if (deg[s1] <= 1) {
return ms(g);
}else if (e[s1].contains(s2)) {
if (deg[s1] <= 3)
return ms(g);
else{
Graph g2=g.copy();
g.delete_v_with_neighbours(s1);
g2.delete_v_with_neighbours(s2);
Pair p1=ms(g);
p1.cardinality++;
p1.choosed_vertices[s1]=true;
Pair p2=ms(g2);
p2.cardinality++;
p2.choosed_vertices[s2]=true;
return pair_bigger(p1, p2);
}
}
if(is_deg_correct(e, deg)){
throw new AssertionError();
}
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(is_deg_correct(e, deg)){
throw new AssertionError();
}
if(deg[s1]!=2){
throw new AssertionError("deg[s1]!=2");
}
int E=e[s1].get(0);
int F=e[s2].get(1);
if(is_deg_correct(e, deg)){
throw new AssertionError();
}
if(e[E].contains(F)){
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]);
if(is_deg_correct(e, deg)){
throw new AssertionError();
}
union.remove((Integer)s1);
if(is_deg_correct(e, deg)){
throw new AssertionError();
}
if(is_subset(union,e[s2])){
g.delete_v_with_neighbours(s1);
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(s1);
g.delete_v_with_neighbours(s2);
if(is_deg_correct(e, deg)){
throw new AssertionError();
}
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();
if(is_deg_correct(e, deg)){
throw new AssertionError();
}
g.delete_v_with_neighbours(s2);
Pair p=ms(g);
g2.delete_v_with_neighbours(s1);
g2.delete_vertice(s2);
Pair p2=ms2(g2,e[s2]);
p2.cardinality++;
p2.choosed_vertices[s1]=true;
p=pair_bigger(p, p2);
return p;
}
}
@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;
}
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 s2;
}
//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;
}
}