結果
| 問題 |
No.2464 To DAG
|
| コンテスト | |
| ユーザー |
 uwi
|
| 提出日時 | 2023-09-08 22:21:08 |
| 言語 | Java (openjdk 23) |
| 結果 |
TLE
|
| 実行時間 | - |
| コード長 | 18,175 bytes |
| コンパイル時間 | 4,652 ms |
| コンパイル使用メモリ | 101,136 KB |
| 実行使用メモリ | 162,856 KB |
| 最終ジャッジ日時 | 2024-06-26 15:30:04 |
| 合計ジャッジ時間 | 47,542 ms |
|
ジャッジサーバーID （参考情報） |
judge1 / judge5 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 2 |
| other | AC * 38 TLE * 1 |
ソースコード
package contest230908;
import java.io.*;
import java.util.*;
import java.util.function.IntUnaryOperator;
import java.util.function.LongUnaryOperator;
public class E2 {
InputStream is;
FastWriter out;
String INPUT = "";
public void solve()
{
int n = ni();
int m = ni();
int[][] es = nmi(m, 2);
int[] indeg = new int[n];
int[] outdeg = new int[n];
for(int i = 0;i < m;i++){
int u = es[i][0] - 1;
int v = es[i][1] - 1;
indeg[v]++;
outdeg[u]++;
}
List<Edge> eds = new ArrayList<>();
int src = n, sink = n+1;
for(int i = 0;i < n;i++){
if(indeg[i] == outdeg[i])continue;
if(indeg[i] > outdeg[i]){
eds.add(new Edge(i, sink, indeg[i]-outdeg[i]));
}else{
eds.add(new Edge(src, i, outdeg[i]-indeg[i]));
}
}
for(int i = 0;i < m;i++){
int u = es[i][0] - 1;
int v = es[i][1] - 1;
eds.add(new Edge(u, v, 1));
}
Edge[][] g = compileWD(n+2, eds);
long flow = fifopp(g, src, sink);
List<int[]> ans = new ArrayList<>();
for(Edge e : eds){
if(!e.cloned && e.from < src && e.to < src && e.flow > 0){
ans.add(new int[]{e.from+1, e.to+1});
}
}
out.println(n + " " + ans.size());
for(int[] e : ans){
out.println(e[0] + " " + e[1]);
}
}
public static class Edge
{
public int from, to;
public long capacity;
public long flow;
public Edge complement;
public boolean cloned;
public Edge(int from, int to, long capacity) {
this.from = from;
this.to = to;
this.capacity = capacity;
}
}
public static void reset(Edge[][] g)
{
for(Edge[] row : g){
for(Edge e : row){
e.flow = e.cloned ? e.capacity : 0;
}
}
}
public static Edge[][] compileWD(int n, List<Edge> edges)
{
Edge[][] g = new Edge[n][];
// cloning
for(int i = edges.size()-1;i >= 0;i--){
Edge origin = edges.get(i);
Edge clone = new Edge(origin.to, origin.from, origin.capacity);
clone.flow = origin.capacity - origin.flow;
clone.complement = origin;
clone.cloned = true;
origin.complement = clone;
edges.add(clone);
}
int[] p = new int[n];
for(Edge e : edges)p[e.from]++;
for(int i = 0;i < n;i++)g[i] = new Edge[p[i]];
for(Edge e : edges)g[e.from][--p[e.from]] = e;
return g;
}
public static Edge[][] compileWU(int n, List<Edge> edges)
{
Edge[][] g = new Edge[n][];
// cloning
for(int i = edges.size()-1;i >= 0;i--){
Edge origin = edges.get(i);
Edge clone = new Edge(origin.to, origin.from, origin.capacity*2);
origin.flow = origin.capacity;
clone.flow = origin.capacity;
clone.complement = origin;
clone.cloned = true;
origin.complement = clone;
origin.capacity *= 2;
edges.add(clone);
}
int[] p = new int[n];
for(Edge e : edges)p[e.from]++;
for(int i = 0;i < n;i++)g[i] = new Edge[p[i]];
for(Edge e : edges)g[e.from][--p[e.from]] = e;
return g;
}
private static void add(int[] first, int[] next, int[] prev, int level, int x)
{
next[x] = first[level];
if(next[x] != -1)prev[next[x]] = x;
first[level] = x;
}
private static void remove(int[] first, int[] next, int[] prev, int level, int x)
{
int p = prev[x];
int n = next[x];
if(p == -1)first[level] = n;
if(p != -1)next[p] = n;
if(n != -1)prev[n] = p;
prev[x] = next[x] = -1;
}
private static int labelGrobally(Edge[][] g, int source, int sink, int[] label,
EQ q,
int[] gapFirst, int[] gapNext, int[] gapPrev,
long[] excess)
{
Arrays.fill(gapFirst, -1);
Arrays.fill(gapNext, -1);
Arrays.fill(gapPrev, -1);
int n = g.length;
q.clear();
Arrays.fill(label, n);
label[sink] = 0;
int[] lq = new int[n];
int p = 0;
lq[p++] = sink;
for(int z = 0;z < p;z++){
int cur = lq[z];
for(Edge e : g[cur]){
if(e.flow > 0 && label[e.to] > label[e.from] + 1){
label[e.to] = label[e.from] + 1;
lq[p++] = e.to;
}
}
}
int highest = 0;
for(int i = 0;i < n;i++){
if(label[i] < n){
if(excess[i] > 0){
highest = Math.max(highest, label[i]);
q.add(i);
}
add(gapFirst, gapNext, gapPrev, label[i], i);
}
}
return highest;
}
public static long fifopp(Edge[][] g, int source, int sink)
{
long big = Long.MAX_VALUE / 2;
int n = g.length;
int[] label = new int[n];
long[] excess = new long[n];
excess[source] = big;
excess[sink] = -big;
EQ q = new EQ();
// Q q = new Q(3*n);
int[] gapFirst = new int[n];
int[] gapNext = new int[n];
int[] gapPrev = new int[n];
labelGrobally(g, source, sink, label, q, gapFirst, gapNext, gapPrev, excess);
// flow (src, *)
for(Edge se : g[source]){
if(excess[se.to] == 0 && label[se.to] < n){
q.add(se.to);
}
push(se, excess);
}
int nUpdate = 0;
while(!q.isEmpty()){
int cur = q.poll();
if(label[cur] == n)continue;
for(Edge e : g[cur]){
if(excess[cur] == 0)break;
if(label[e.from] == label[e.to] + 1 && e.flow < e.capacity){
if(excess[e.to] == 0)q.add(e.to);
push(e, excess);
}
}
if(excess[cur] > 0){
int oldh = label[cur];
remove(gapFirst, gapNext, gapPrev, label[cur], cur);
relabel(cur, g, label);
if(label[cur] < n){
add(gapFirst, gapNext, gapPrev, label[cur], cur);
}
if(gapFirst[oldh] == -1){
// gap-relabelling
for(int h = oldh+1;h < n;h++){
for(int y = gapFirst[h];y != -1;y = gapNext[y]){
label[y] = n;
gapNext[y] = gapPrev[y] = -1;
}
gapFirst[h] = -1;
}
}else if(label[cur] < n){
nUpdate++;
q.add(cur);
}
}
if(nUpdate > 4*n){
nUpdate = 0;
// verify label
// for(int u = 0;u < n;u++){
// for(int x = gapFirst[u];x != -1;x = gapNext[u]){
// if(label[x] != u)throw new RuntimeException();
// if(gapPrev[x] != -1){
// if(gapNext[gapPrev[x]] != x){
// throw new RuntimeException();
// }
// }else{
// if(gapFirst[u] != x){
// throw new RuntimeException();
// }
// }
// }
// }
labelGrobally(g, source, sink, label, q, gapFirst, gapNext, gapPrev, excess);
}
}
return excess[sink] + big;
}
private static void push(Edge e, long[] excess)
{
long f = Math.min(excess[e.from], e.capacity - e.flow);
e.flow += f;
e.complement.flow -= f;
excess[e.from] -= f;
excess[e.to] += f;
}
private static void relabel(int cur, Edge[][] g, int[] label)
{
int n = g.length;
int min = n;
for(Edge e : g[cur]){
if(e.flow < e.capacity)min = Math.min(min, label[e.to] + 1);
}
label[cur] = min;
}
public static class EQ {
public int[] q;
protected int pt, ph;
public EQ(){ q = new int[2]; pt = ph = 0; }
public void add(int x){
if(ph == q.length)scale();
q[ph++] = x;
}
public void scale()
{
int n = q.length;
int[] nq = new int[n*3/2];
System.arraycopy(q, pt, nq, 0, ph-pt);
q = nq;
ph = ph-pt;
pt = 0;
}
public void clear(){ pt = ph = 0; }
public int poll(){ return q[pt++]; }
public int size(){ return ph-pt; }
public boolean isEmpty(){ return ph==pt; }
}
public static void main(String[] args) {
new E2().run();
}
public void run()
{
long S = System.currentTimeMillis();
is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes());
out = new FastWriter(System.out);
solve();
out.flush();
long G = System.currentTimeMillis();
tr(G-S+"ms");
// Thread t = new Thread(null, null, "~", Runtime.getRuntime().maxMemory()){
// @Override
// public void run() {
// long s = System.currentTimeMillis();
// solve();
// out.flush();
// if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms");
// }
// };
// t.start();
// t.join();
}
private boolean eof()
{
if(lenbuf == -1)return true;
int lptr = ptrbuf;
while(lptr < lenbuf)if(!isSpaceChar(inbuf[lptr++]))return false;
try {
is.mark(1000);
while(true){
int b = is.read();
if(b == -1){
is.reset();
return true;
}else if(!isSpaceChar(b)){
is.reset();
return false;
}
}
} catch (IOException e) {
return true;
}
}
private final byte[] inbuf = new byte[1024];
public int lenbuf = 0, ptrbuf = 0;
private int readByte()
{
if(lenbuf == -1)throw new InputMismatchException();
if(ptrbuf >= lenbuf){
ptrbuf = 0;
try { lenbuf = is.read(inbuf); } catch (IOException e) { throw new InputMismatchException(); }
if(lenbuf <= 0)return -1;
}
return inbuf[ptrbuf++];
}
private boolean isSpaceChar(int c) { return !(c >= 33 && c <= 126); }
// private boolean isSpaceChar(int c) { return !(c >= 32 && c <= 126); }
private int skip() { int b; while((b = readByte()) != -1 && isSpaceChar(b)); return b; }
private double nd() { return Double.parseDouble(ns()); }
private char nc() { return (char)skip(); }
private String ns()
{
int b = skip();
StringBuilder sb = new StringBuilder();
while(!(isSpaceChar(b))){
sb.appendCodePoint(b);
b = readByte();
}
return sb.toString();
}
private char[] ns(int n)
{
char[] buf = new char[n];
int b = skip(), p = 0;
while(p < n && !(isSpaceChar(b))){
buf[p++] = (char)b;
b = readByte();
}
return n == p ? buf : Arrays.copyOf(buf, p);
}
private char[][] nm(int n, int m)
{
char[][] map = new char[n][];
for(int i = 0;i < n;i++)map[i] = ns(m);
return map;
}
private int[][] nmi(int n, int m)
{
int[][] map = new int[n][];
for(int i = 0;i < n;i++)map[i] = na(m);
return map;
}
private int[] na(int n)
{
int[] a = new int[n];
for(int i = 0;i < n;i++)a[i] = ni();
return a;
}
private long[] nal(int n)
{
long[] a = new long[n];
for(int i = 0;i < n;i++)a[i] = nl();
return a;
}
private int ni()
{
int num = 0, b;
boolean minus = false;
while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'));
if(b == '-'){
minus = true;
b = readByte();
}
while(true){
if(b >= '0' && b <= '9'){
num = num * 10 + (b - '0');
}else{
return minus ? -num : num;
}
b = readByte();
}
}
private long nl()
{
long num = 0;
int b;
boolean minus = false;
while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'));
if(b == '-'){
minus = true;
b = readByte();
}
while(true){
if(b >= '0' && b <= '9'){
num = num * 10 + (b - '0');
}else{
return minus ? -num : num;
}
b = readByte();
}
}
public static class FastWriter
{
private static final int BUF_SIZE = 1<<13;
private final byte[] buf = new byte[BUF_SIZE];
private final OutputStream out;
private int ptr = 0;
private FastWriter(){out = null;}
public FastWriter(OutputStream os)
{
this.out = os;
}
public FastWriter(String path)
{
try {
this.out = new FileOutputStream(path);
} catch (FileNotFoundException e) {
throw new RuntimeException("FastWriter");
}
}
public FastWriter write(byte b)
{
buf[ptr++] = b;
if(ptr == BUF_SIZE)innerflush();
return this;
}
public FastWriter write(char c)
{
return write((byte)c);
}
public FastWriter write(char[] s)
{
for(char c : s){
buf[ptr++] = (byte)c;
if(ptr == BUF_SIZE)innerflush();
}
return this;
}
public FastWriter write(String s)
{
s.chars().forEach(c -> {
buf[ptr++] = (byte)c;
if(ptr == BUF_SIZE)innerflush();
});
return this;
}
private static int countDigits(int l) {
if (l >= 1000000000) return 10;
if (l >= 100000000) return 9;
if (l >= 10000000) return 8;
if (l >= 1000000) return 7;
if (l >= 100000) return 6;
if (l >= 10000) return 5;
if (l >= 1000) return 4;
if (l >= 100) return 3;
if (l >= 10) return 2;
return 1;
}
public FastWriter write(int x)
{
if(x == Integer.MIN_VALUE){
return write((long)x);
}
if(ptr + 12 >= BUF_SIZE)innerflush();
if(x < 0){
write((byte)'-');
x = -x;
}
int d = countDigits(x);
for(int i = ptr + d - 1;i >= ptr;i--){
buf[i] = (byte)('0'+x%10);
x /= 10;
}
ptr += d;
return this;
}
private static int countDigits(long l) {
if (l >= 1000000000000000000L) return 19;
if (l >= 100000000000000000L) return 18;
if (l >= 10000000000000000L) return 17;
if (l >= 1000000000000000L) return 16;
if (l >= 100000000000000L) return 15;
if (l >= 10000000000000L) return 14;
if (l >= 1000000000000L) return 13;
if (l >= 100000000000L) return 12;
if (l >= 10000000000L) return 11;
if (l >= 1000000000L) return 10;
if (l >= 100000000L) return 9;
if (l >= 10000000L) return 8;
if (l >= 1000000L) return 7;
if (l >= 100000L) return 6;
if (l >= 10000L) return 5;
if (l >= 1000L) return 4;
if (l >= 100L) return 3;
if (l >= 10L) return 2;
return 1;
}
public FastWriter write(long x)
{
if(x == Long.MIN_VALUE){
return write("" + x);
}
if(ptr + 21 >= BUF_SIZE)innerflush();
if(x < 0){
write((byte)'-');
x = -x;
}
int d = countDigits(x);
for(int i = ptr + d - 1;i >= ptr;i--){
buf[i] = (byte)('0'+x%10);
x /= 10;
}
ptr += d;
return this;
}
public FastWriter write(double x, int precision)
{
if(x < 0){
write('-');
x = -x;
}
x += Math.pow(10, -precision)/2;
// if(x < 0){ x = 0; }
write((long)x).write(".");
x -= (long)x;
for(int i = 0;i < precision;i++){
x *= 10;
write((char)('0'+(int)x));
x -= (int)x;
}
return this;
}
public FastWriter writeln(char c){ return write(c).writeln(); }
public FastWriter writeln(int x){ return write(x).writeln(); }
public FastWriter writeln(long x){ return write(x).writeln(); }
public FastWriter writeln(double x, int precision){ return write(x, precision).writeln(); }
public FastWriter write(int... xs)
{
boolean first = true;
for(int x : xs) {
if (!first) write(' ');
first = false;
write(x);
}
return this;
}
public FastWriter write(long... xs)
{
boolean first = true;
for(long x : xs) {
if (!first) write(' ');
first = false;
write(x);
}
return this;
}
public FastWriter write(IntUnaryOperator f, int... xs)
{
boolean first = true;
for(int x : xs) {
if (!first) write(' ');
first = false;
write(f.applyAsInt(x));
}
return this;
}
public FastWriter write(LongUnaryOperator f, long... xs)
{
boolean first = true;
for(long x : xs) {
if (!first) write(' ');
first = false;
write(f.applyAsLong(x));
}
return this;
}
public FastWriter writeln()
{
return write((byte)'\n');
}
public FastWriter writeln(int... xs) { return write(xs).writeln(); }
public FastWriter writeln(long... xs) { return write(xs).writeln(); }
public FastWriter writeln(IntUnaryOperator f, int... xs) { return write(f, xs).writeln(); }
public FastWriter writeln(LongUnaryOperator f, long... xs) { return write(f, xs).writeln(); }
public FastWriter writeln(char[] line) { return write(line).writeln(); }
public FastWriter writeln(char[]... map) { for(char[] line : map)write(line).writeln();return this; }
public FastWriter writeln(String s) { return write(s).writeln(); }
private void innerflush()
{
try {
out.write(buf, 0, ptr);
ptr = 0;
} catch (IOException e) {
throw new RuntimeException("innerflush");
}
}
public void flush()
{
innerflush();
try {
out.flush();
} catch (IOException e) {
throw new RuntimeException("flush");
}
}
public FastWriter print(byte b) { return write(b); }
public FastWriter print(char c) { return write(c); }
public FastWriter print(char[] s) { return write(s); }
public FastWriter print(String s) { return write(s); }
public FastWriter print(int x) { return write(x); }
public FastWriter print(long x) { return write(x); }
public FastWriter print(double x, int precision) { return write(x, precision); }
public FastWriter println(char c){ return writeln(c); }
public FastWriter println(int x){ return writeln(x); }
public FastWriter println(long x){ return writeln(x); }
public FastWriter println(double x, int precision){ return writeln(x, precision); }
public FastWriter print(int... xs) { return write(xs); }
public FastWriter print(long... xs) { return write(xs); }
public FastWriter print(IntUnaryOperator f, int... xs) { return write(f, xs); }
public FastWriter print(LongUnaryOperator f, long... xs) { return write(f, xs); }
public FastWriter println(int... xs) { return writeln(xs); }
public FastWriter println(long... xs) { return writeln(xs); }
public FastWriter println(IntUnaryOperator f, int... xs) { return writeln(f, xs); }
public FastWriter println(LongUnaryOperator f, long... xs) { return writeln(f, xs); }
public FastWriter println(char[] line) { return writeln(line); }
public FastWriter println(char[]... map) { return writeln(map); }
public FastWriter println(String s) { return writeln(s); }
public FastWriter println() { return writeln(); }
}
public static void trnz(int... o)
{
for(int i = 0;i < o.length;i++)if(o[i] != 0)System.out.print(i+":"+o[i]+" ");
System.out.println();
}
// print ids which are 1
public static void trt(long... o)
{
Queue<Integer> stands = new ArrayDeque<>();
for(int i = 0;i < o.length;i++){
for(long x = o[i];x != 0;x &= x-1)stands.add(i<<6|Long.numberOfTrailingZeros(x));
}
System.out.println(stands);
}
public static void tf(boolean... r)
{
for(boolean x : r)System.out.print(x?'#':'.');
System.out.println();
}
public static void tf(boolean[]... b)
{
for(boolean[] r : b) {
for(boolean x : r)System.out.print(x?'#':'.');
System.out.println();
}
System.out.println();
}
public void tf(long[]... b)
{
if(INPUT.length() != 0) {
for (long[] r : b) {
for (long x : r) {
for (int i = 0; i < 64; i++) {
System.out.print(x << ~i < 0 ? '#' : '.');
}
}
System.out.println();
}
System.out.println();
}
}
public void tf(long... b)
{
if(INPUT.length() != 0) {
for (long x : b) {
for (int i = 0; i < 64; i++) {
System.out.print(x << ~i < 0 ? '#' : '.');
}
}
System.out.println();
}
}
private void tr(Object... o) { if(INPUT.length() != 0)System.out.println(Arrays.deepToString(o)); }
}