結果
問題 | No.1301 Strange Graph Shortest Path |
ユーザー |
|
提出日時 | 2020-11-27 21:58:46 |
言語 | Java (openjdk 23) |
結果 |
AC
|
実行時間 | 963 ms / 3,000 ms |
コード長 | 17,946 bytes |
コンパイル時間 | 5,823 ms |
コンパイル使用メモリ | 93,332 KB |
実行使用メモリ | 112,588 KB |
最終ジャッジ日時 | 2024-09-13 00:57:16 |
合計ジャッジ時間 | 32,088 ms |
ジャッジサーバーID (参考情報) |
judge3 / judge2 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 2 |
other | AC * 33 |
ソースコード
package contest201127;import java.io.*;import java.util.*;public class D2 {InputStream is;FastWriter out;String INPUT = "";public void solve(){int n = ni(), m = ni();int[] from = new int[m];int[] to = new int[m];int[] c = new int[m];int[] d = new int[m];for(int i = 0;i < m;i++){from[i] = ni()-1;to[i] = ni()-1;c[i] = ni();d[i] = ni();}List<Edge> es = new ArrayList<>();for(int i = 0;i < m;i++){es.add(new Edge(from[i], to[i], 1, c[i]));es.add(new Edge(from[i], to[i], 1, d[i]));es.add(new Edge(to[i], from[i], 1, c[i]));es.add(new Edge(to[i], from[i], 1, d[i]));}out.println(solveMinCostFlow(compileWD(n, es), 0, n-1, 2));}public static class Edge{public int from, to;public int capacity;public long cost;public int flow;public Edge complement;// public int iniflow;public Edge(int from, int to, int capacity, long cost) {this.from = from;this.to = to;this.capacity = capacity;this.cost = cost;}@Overridepublic String toString() {return "Edge [from=" + from + ", to=" + to + ", capacity="+ capacity + ", cost=" + cost + "]";}}public static long addNegativeEdge(List<Edge> edges, Edge e, int src, int sink){if(e.cost > 0){edges.add(e);return 0;}else{e.cost = -e.cost;edges.add(new Edge(src, e.to, e.capacity, 0));edges.add(new Edge(e.from, sink, e.capacity, 0));int d = e.from; e.from = e.to; e.to = d;edges.add(e);return (long)e.capacity * -e.cost;}}// TODO testpublic static long addMinCapacityConstraintEdge(List<Edge> edges, Edge e, int minCapacity, int src, int sink){e.capacity -= minCapacity;edges.add(new Edge(src, e.to, minCapacity, 0));edges.add(new Edge(e.from, sink, minCapacity, 0));return (long)minCapacity * e.cost;}public static Edge[][] compileWD(int n, List<Edge> edges){Edge[][] g = new Edge[n][];// cloningfor(int i = edges.size()-1;i >= 0;i--){Edge origin = edges.get(i);Edge clone = new Edge(origin.to, origin.from, origin.capacity, -origin.cost);clone.flow = origin.capacity;clone.complement = origin;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 class DQ {public int[] q;public int n;protected int pt, ph;public DQ(int n){ this.n = Integer.highestOneBit(n)<<1; q = new int[this.n]; pt = ph = 0; }public void addLast(int x){ q[ph] = x; ph = ph+1&n-1; }public void addFirst(int x){ pt = pt+n-1&n-1; q[pt] = x; }public int pollFirst(){ int ret = q[pt]; pt = pt+1&n-1; return ret; }public int pollLast(){ ph = ph+n-1&n-1; int ret = q[ph]; return ret; }public int getFirst(){ return q[pt]; }public int getFirst(int k){ return q[pt+k&n-1]; }public int getLast(){ return q[ph+n-1&n-1]; }public int getLast(int k){ return q[ph+n-k-1&n-1]; }public void clear(){ pt = ph = 0; }public int size(){ return ph-pt+n&n-1; }public boolean isEmpty(){ return ph==pt; }}public static long solveMinCostFlow(Edge[][] g, int source, int sink, long all){int n = g.length;long mincost = 0;long[] potential = new long[n];final long[] d = new long[n];MinHeapL q = new MinHeapL(n);while(all > 0){// shortest path src->sinkEdge[] inedge = new Edge[n];Arrays.fill(d, Long.MAX_VALUE / 2);d[source] = 0;q.add(source, 0);while(q.size() > 0){int cur = q.argmin();q.remove(cur);for(Edge ne : g[cur]){if(ne.capacity - ne.flow > 0){long nd = d[cur] + ne.cost + potential[cur] - potential[ne.to];if(d[ne.to] > nd){inedge[ne.to] = ne;d[ne.to] = nd;q.update(ne.to, nd);}}}}if(inedge[sink] == null)break;long minflow = all;long sumcost = 0;for(Edge e = inedge[sink];e != null;e = inedge[e.from]){if(e.capacity - e.flow < minflow)minflow = e.capacity - e.flow;sumcost += e.cost;}mincost += minflow * sumcost;for(Edge e = inedge[sink];e != null;e = inedge[e.from]){e.flow += minflow;e.complement.flow -= minflow;}all -= minflow;for(int i = 0;i < n;i++){potential[i] += d[i];}}return mincost;}public static int[] dijk(int[][][] g, int from, int to){int n = g.length;long[] td = new long[n];int[] prev = new int[n];Arrays.fill(prev, -1);long I = Long.MAX_VALUE / 4;Arrays.fill(td, I);MinHeapL q = new MinHeapL(n);q.add(from, 0);td[from] = 0;while(q.size() > 0){int cur = q.argmin();q.remove(cur);for(int i = 0;i < g[cur].length;i++){int next = g[cur][i][0];long nd = td[cur] + g[cur][i][1];if(nd < td[next]){prev[next] = cur;td[next] = nd;q.update(next, nd);}}}if(prev[to] == -1)return null;int cur = to;int[] route = new int[n];int p = 0;while(cur != -1){route[n-1-p++] = cur;cur = prev[cur];}return Arrays.copyOfRange(route, n-1-p+1, n);}public static class MinHeapL {public long[] a;public int[] map;public int[] imap;public int n;public int pos;public static long INF = Long.MAX_VALUE;public MinHeapL(int m){n = Integer.highestOneBit((m+1)<<1);a = new long[n];map = new int[n];imap = new int[n];Arrays.fill(a, INF);Arrays.fill(map, -1);Arrays.fill(imap, -1);pos = 1;}public long add(int ind, long x){int ret = imap[ind];if(imap[ind] < 0){a[pos] = x; map[pos] = ind; imap[ind] = pos;pos++;up(pos-1);}return ret != -1 ? a[ret] : x;}public long update(int ind, long x){int ret = imap[ind];if(imap[ind] < 0){a[pos] = x; map[pos] = ind; imap[ind] = pos;pos++;up(pos-1);}else{a[ret] = x;up(ret);down(ret);}return x;}public long remove(int ind){if(pos == 1)return INF;if(imap[ind] == -1)return INF;pos--;int rem = imap[ind];long ret = a[rem];map[rem] = map[pos];imap[map[pos]] = rem;imap[ind] = -1;a[rem] = a[pos];a[pos] = INF;map[pos] = -1;up(rem);down(rem);return ret;}public long min() { return a[1]; }public int argmin() { return map[1]; }public int size() { return pos-1; }private void up(int cur){for(int c = cur, p = c>>>1;p >= 1 && a[p] > a[c];c>>>=1, p>>>=1){long d = a[p]; a[p] = a[c]; a[c] = d;int e = imap[map[p]]; imap[map[p]] = imap[map[c]]; imap[map[c]] = e;e = map[p]; map[p] = map[c]; map[c] = e;}}private void down(int cur){for(int c = cur;2*c < pos;){int b = a[2*c] < a[2*c+1] ? 2*c : 2*c+1;if(a[b] < a[c]){long d = a[c]; a[c] = a[b]; a[b] = d;int e = imap[map[c]]; imap[map[c]] = imap[map[b]]; imap[map[b]] = e;e = map[c]; map[c] = map[b]; map[b] = e;c = b;}else{break;}}}}public static int[][][] packWU(int n, int[] from, int[] to, int[]... ws){ return packWU(n, from, to, from.length, ws); }public static int[][][] packWU(int n, int[] from, int[] to, int sup, int[]... ws){int[][][] g = new int[n][][];int[] p = new int[n];for(int i = 0;i < sup;i++)p[from[i]]++;for(int i = 0;i < sup;i++)p[to[i]]++;for(int i = 0;i < n;i++)g[i] = new int[p[i]][ws.length+1];for(int i = 0;i < sup;i++){--p[from[i]];g[from[i]][p[from[i]]][0] = to[i];for(int j = 0;j < ws.length;j++)g[from[i]][p[from[i]]][j+1] = ws[j][i];--p[to[i]];g[to[i]][p[to[i]]][0] = from[i];for(int j = 0;j < ws.length;j++)g[to[i]][p[to[i]]][j+1] = ws[j][i];}return g;}public static void main(String[] args) {new D2().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[] 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 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(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 println(int... xs) { return writeln(xs); }public FastWriter println(long... xs) { return writeln(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 1public 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)); }}