結果
| 問題 | No.1324 Approximate the Matrix |
| ユーザー |
 uwi
|
| 提出日時 | 2020-12-21 00:48:48 |
| 言語 | Java21 (openjdk 21) |
| 結果 |
AC
|
| 実行時間 | 576 ms / 2,000 ms |
| コード長 | 16,231 bytes |
| コンパイル時間 | 5,818 ms |
| コンパイル使用メモリ | 98,692 KB |
| 実行使用メモリ | 63,636 KB |
| 最終ジャッジ日時 | 2024-09-21 12:37:13 |
| 合計ジャッジ時間 | 14,152 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 | 64 ms
50,828 KB |
| testcase_01 | AC | 65 ms
50,888 KB |
| testcase_02 | AC | 93 ms
50,728 KB |
| testcase_03 | AC | 364 ms
59,260 KB |
| testcase_04 | AC | 369 ms
58,892 KB |
| testcase_05 | AC | 322 ms
59,336 KB |
| testcase_06 | AC | 319 ms
59,252 KB |
| testcase_07 | AC | 318 ms
59,212 KB |
| testcase_08 | AC | 95 ms
51,840 KB |
| testcase_09 | AC | 118 ms
52,676 KB |
| testcase_10 | AC | 123 ms
54,104 KB |
| testcase_11 | AC | 149 ms
53,960 KB |
| testcase_12 | AC | 118 ms
53,496 KB |
| testcase_13 | AC | 84 ms
51,072 KB |
| testcase_14 | AC | 155 ms
54,680 KB |
| testcase_15 | AC | 124 ms
53,832 KB |
| testcase_16 | AC | 81 ms
50,704 KB |
| testcase_17 | AC | 146 ms
54,540 KB |
| testcase_18 | AC | 114 ms
52,628 KB |
| testcase_19 | AC | 127 ms
53,968 KB |
| testcase_20 | AC | 79 ms
51,164 KB |
| testcase_21 | AC | 91 ms
51,860 KB |
| testcase_22 | AC | 79 ms
50,780 KB |
| testcase_23 | AC | 150 ms
54,416 KB |
| testcase_24 | AC | 173 ms
55,112 KB |
| testcase_25 | AC | 145 ms
54,464 KB |
| testcase_26 | AC | 141 ms
54,464 KB |
| testcase_27 | AC | 134 ms
54,060 KB |
| testcase_28 | AC | 68 ms
50,592 KB |
| testcase_29 | AC | 69 ms
50,868 KB |
| testcase_30 | AC | 71 ms
51,016 KB |
| testcase_31 | AC | 71 ms
50,812 KB |
| testcase_32 | AC | 72 ms
50,756 KB |
| testcase_33 | AC | 65 ms
50,396 KB |
| testcase_34 | AC | 69 ms
50,676 KB |
| testcase_35 | AC | 69 ms
50,696 KB |
| testcase_36 | AC | 68 ms
50,568 KB |
| testcase_37 | AC | 556 ms
63,152 KB |
| testcase_38 | AC | 502 ms
63,636 KB |
| testcase_39 | AC | 575 ms
63,068 KB |
| testcase_40 | AC | 575 ms
63,052 KB |
| testcase_41 | AC | 576 ms
63,084 KB |
| testcase_42 | AC | 89 ms
51,596 KB |
| testcase_43 | AC | 89 ms
51,784 KB |
| testcase_44 | AC | 99 ms
51,904 KB |
ソースコード
package adv2020;
import java.io.*;
import java.util.*;
public class Day21_2 {
InputStream is;
FastWriter out;
String INPUT = "";
// String INPUT = "2 4\n" +
// "2 2\n" +
// "3 1\n" +
// "2 0\n" +
// "1 1\n";
public void solve()
{
int n = ni(), K = ni();
int[] a = na(n);
int[] b = na(n);
int[][] P = new int[n][];
for(int i = 0;i < n;i++){
P[i] = na(n);
}
// n n n*n n*n src sink
List<Edge> es = new ArrayList<>();
int src = n+n, sink = src + 1;
long base = 0;
// int O = 4000;
for(int i = 0;i < n;i++){
es.add(new Edge(src, i, a[i], 0));
es.add(new Edge(i+n, sink, b[i], 0));
for(int j = 0;j < n;j++){
int inf = Math.min(a[i], b[j]);
for(int k = 0;k <= inf-1;k++){
// es.add(new Edge(2*n+i*n+j, 2*n+n*n+i*n+j, 1, (k+1-P[i][j])*(k+1-P[i][j]) - (k-P[i][j])*(k-P[i][j])));
es.add(new Edge(i, j+n, 1, 2*k-2*P[i][j]+1));
}
base += P[i][j] * P[i][j];
}
}
// for(Edge e : es){
// tr(e.from, e.to, e.capacity, e.cost);
// }
// tr(base, src, sink);
Edge[][] g = compileWD(sink+1, es);
out.println(base + solveMinCostFlow(g, src, sink, K));
// for(int i = 2*n;i < 2*n+n*n;i++){
// for(Edge e : g[i]){
// if(e.flow > 0)tr(e.from, e.to, e.capacity, e.flow, e.cost);
// }
// }
}
public static class Edge
{
public int from, to;
public int capacity;
public int cost;
public int flow;
public Edge complement;
// public int iniflow;
public Edge(int from, int to, int capacity, int cost) {
this.from = from;
this.to = to;
this.capacity = capacity;
this.cost = cost;
}
}
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, -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;
}
// NOT VERIFIED
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 back = new Edge(origin.to, origin.from, origin.capacity, origin.cost);
edges.add(back);
}
for(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 long solveMinCostFlow(Edge[][] g, int source, int sink, long all)
{
int n = g.length;
long mincost = 0;
int[] potential = new int[n];
final int[] d = new int[n];
MinHeap q = new MinHeap(n);
while(all > 0){
// shortest path src->sink
Edge[] inedge = new Edge[n];
Arrays.fill(d, Integer.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){
int 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 class MinHeap {
public int[] a;
public int[] map;
public int[] imap;
public int n;
public int pos;
public static int INF = Integer.MAX_VALUE;
public MinHeap(int m)
{
n = m+2;
a = new int[n];
map = new int[n];
imap = new int[n];
Arrays.fill(a, INF);
Arrays.fill(map, -1);
Arrays.fill(imap, -1);
pos = 1;
}
public int add(int ind, int 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 int update(int ind, int x)
{
int ret = imap[ind];
if(imap[ind] < 0){
a[pos] = x; map[pos] = ind; imap[ind] = pos;
pos++;
up(pos-1);
}else{
int o = a[ret];
a[ret] = x;
up(ret);
down(ret);
// if(a[ret] > o){
// up(ret);
// }else{
// down(ret);
// }
}
return x;
}
public int remove(int ind)
{
if(pos == 1)return INF;
if(imap[ind] == -1)return INF;
pos--;
int rem = imap[ind];
int 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 int 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){
int 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]){
int 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 void main(String[] args) {
new Day21_2().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 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)); }
}