結果
| 問題 | No.2855 Move on Grid |
| ユーザー |
 ゆうき
|
| 提出日時 | 2024-08-25 13:53:41 |
| 言語 | Java (openjdk 23) |
| 結果 |
AC
|
| 実行時間 | 667 ms / 3,000 ms |
| コード長 | 18,714 bytes |
| コンパイル時間 | 3,715 ms |
| コンパイル使用メモリ | 103,308 KB |
| 実行使用メモリ | 65,624 KB |
| 最終ジャッジ日時 | 2024-08-25 13:54:10 |
| 合計ジャッジ時間 | 26,754 ms |
|
ジャッジサーバーID （参考情報） |
judge5 / judge1 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| other | AC * 40 |
ソースコード
import static java.lang.Math.*;
import static java.util.Arrays.*;
import java.io.*;
import java.lang.reflect.*;
import java.util.*;
import java.util.concurrent.*;
import java.util.function.*;
public final class Main{
public static void main(String[] args) throws Exception{
MyReader in = new MyReader(System.in);
MyWriter out = new MyWriter(System.out,false),log = new MyWriter(System.err,true);
int T = Solver.multi ? in.it() : 1;
while (T-- > 0)
Optional.ofNullable(new Solver(in,out,log).solve()).ifPresent(out::println);
out.flush();
}
}
class Solver extends BaseSolver{
public Solver(MyReader in,MyWriter out,MyWriter log){ super(in,out,log); }
public static boolean multi = false;
public Object solve(){
int N = in.it();
int M = in.it();
int K = in.it();
int[][] A = in.it(N,M);
Grid g = new Grid(N,M);
return bSearchI(0,1_000_000_000 +1,x -> {
int[][] len = new int[N][M];
for (int i = 0;i < N;i++)
fill(len[i],infI);
len[0][0] = A[0][0] < x ? 1 : 0;
Deque<int[]> q = new ArrayDeque<int[]>();
q.add(new int[]{0, 0});
while (!q.isEmpty()) {
int[] p = q.poll();
for (var s:g.sur(p[0],p[1])) {
int cost = A[s[0]][s[1]] < x ? 1 : 0;
if (len[s[0]][s[1]] > len[p[0]][p[1]] +cost) {
len[s[0]][s[1]] = len[p[0]][p[1]] +cost;
if (cost == 0)
q.addFirst(s);
else
q.addLast(s);
}
}
}
return len[N -1][M -1] <= K;
});
}
int[][] trans(int[]... T){ return Util.arr(new int[T[0].length][],i -> Util.arrI(T.length,j -> T[j][i])); }
// void add(SegmentTree<Data, Long> seg,int a,long[] map){ seg.upd(a,map[a]); }
//
// void rem(SegmentTree<Data, Long> seg,int a,long[] map){ seg.upd(a,-map[a]); }
//
// long[] mo(int N,int[] A,int[][] T,long[] map,SegmentTree<Data, Long> seg,long[] ans){
// int k = 32 -Integer.numberOfLeadingZeros((int) (Math.sqrt(1.5 /T.length) *N) +1);
// sort(T,(a,b) -> (a[0] >>k != b[0] >>k ? a[0] -b[0] : (a[0] >>k &1) == 1 ? a[1] -b[1] : b[1] -a[1]));
// int l = T[0][0];
// int r = l -1;
// for (var t:T) {
// while (t[0] < l)
// add(seg,A[--l],map);
// while (r < t[1])
// add(seg,A[++r],map);
// while (l < t[0])
// rem(seg,A[l++],map);
// while (t[1] < r)
// rem(seg,A[r--],map);
// ans[t[2]] = seg.get(0,100_000 +1).v;
// }
// return ans;
// }
}
class Grid{
private int[][] dirs = {{1, 0}, {-1, 0}, {0, 1}, {0, -1}};
private int H,W;
public Grid(int H,int W){
this.H = H;
this.W = W;
}
public int[] sur(int p){
MyList<int[]> tmp = sur(toi(p),toj(p));
int[] ret = new int[tmp.size()];
for (int i = 0;i < tmp.size();i++)
ret[i] = top(tmp.get(i)[0],tmp.get(i)[1]);
return ret;
}
public MyList<int[]> sur(int i,int j){
MyList<int[]> ret = new MyList<>();
for (var d:dirs) {
int ni = i +d[0];
int nj = j +d[1];
if (valid(ni,H) && valid(nj,W))
ret.add(new int[]{ni, nj});
}
return ret;
}
private boolean valid(int i,int N){ return 0 <= i && i < N; }
public int top(int i,int j){ return i *W +j; }
public int toi(int p){ return p /W; }
public int toj(int p){ return p %W; }
}
class PrefixSum{
private long[] sum;
private int i;
public PrefixSum(int n){ sum = new long[n +1]; }
public PrefixSum(long[] a){
this(a.length);
for (int i = 0;i < a.length;i++)
sum[i +1] = sum[i] +a[i];
}
public void add(long a){ sum[i +1] = sum[i++] +a; }
public long get(int l,int r){ return sum[r] -sum[l]; }
public long get(int i){ return get(i,i +1); }
}
class Edge<L> {
public int id,u,v;
public L val;
public Edge<L> re;
public Edge(int id,int u,int v,L val){
this.id = id;
this.u = u;
this.v = v;
this.val = val;
}
}
class Graph<L> {
public int n;
public MyList<Edge<L>> es;
private MyList<Edge<L>>[] go,bk;
public Graph(int n,boolean dir){
this.n = n;
go = Util.cast(new MyList[n]);
bk = dir ? Util.cast(new MyList[n]) : go;
for (int i = 0;i < n;i++) {
go[i] = new MyList<>();
bk[i] = new MyList<>();
}
es = new MyList<>();
}
protected L inv(L l){ return l; }
public void addEdge(int u,int v){ addEdge(u,v,null); }
public void addEdge(int u,int v,L l){
var e = new Edge<>(es.size(),u,v,l);
var re = new Edge<>(e.id,e.v,e.u,inv(e.val));
es.add(e);
go[u].add(re.re = e);
bk[v].add(e.re = re);
}
public MyList<Edge<L>> go(int u){ return go[u]; }
public MyList<Edge<L>> bk(int u){ return bk[u]; }
}
class UnionFind{
int num;
protected int[] dat;
protected int[] nxt;
public UnionFind(int n){
dat = new int[n];
nxt = new int[n];
setAll(nxt,i -> i);
fill(dat,-1);
num = n;
}
public int root(int x){ return dat[x] < 0 ? x : (dat[x] = root(dat[x])); }
public boolean same(int u,int v){ return root(u) == root(v); }
public boolean unite(int u,int v){
if ((u = root(u)) == (v = root(v)))
return false;
if (dat[u] > dat[v]) {
u ^= v;
v ^= u;
u ^= v;
}
dat[u] += dat[v];
dat[v] = u;
num--;
nxt[u] ^= nxt[v];
nxt[v] ^= nxt[u];
nxt[u] ^= nxt[v];
return true;
}
public int size(int x){ return -dat[root(x)]; }
public int[] getGroup(int x){
int[] ret = new int[size(x)];
for (int i = 0,c = root(x);i < ret.length;i++)
ret[i] = c = nxt[c];
return ret;
}
}
class MySet implements Iterable<Integer>{
private Set<Integer> set;
private BitSet bit;
public MySet(){ set = new HashSet<>(); }
public int size(){ return set != null ? set.size() : bit.cardinality(); }
public void add(int x){
if (set != null) {
set.add(x);
if (set.size() == 100) {
bit = new BitSet();
for (int i:set)
bit.set(i);
set = null;
}
} else
bit.set(x);
}
public boolean contains(int x){ return set == null ? bit.get(x) : set.contains(x); }
@Override
public Iterator<Integer> iterator(){
return set != null ? set.iterator() : new Iterator<>(){
int w = bit.nextSetBit(0);
@Override
public Integer next(){
int ret = w;
w = bit.nextSetBit(w +1);
return ret;
}
@Override
public boolean hasNext(){ return w != -1; }
};
}
}
class Data extends BaseV{
long v;
public Data(long v){ this.v = v; }
@Override
public String toString(){ return v +""; }
}
abstract class Sum3D{
private long[] sum;
private int w,d;
public Sum3D(int h,int w,int d){
this.w = w;
this.d = d;
sum = new long[(h +1) *(w +1) *(d +1)];
for (int i = 0;i < h;i++)
for (int j = 0;j < w;j++)
for (int k = 0;k < d;k++)
sum[top(i +1,j +1,k +1)] = a(i,j,k)
+sum[top(i,j +1,k +1)] +sum[top(i +1,j,k +1)] +sum[top(i +1,j +1,k)]
-sum[top(i +1,j,k)] -sum[top(i,j +1,k)] -sum[top(i,j,k +1)]
+sum[top(i,j,k)];
}
abstract long a(int i,int j,int k);
private int top(int i,int j,int k){ return i *(w +1) *(d +1) +j *(d +1) +k; }
long get(int il,int ir,int jl,int jr,int kl,int kr){
return sum[top(ir,jr,kr)]
-sum[top(il,jr,kr)] -sum[top(ir,jl,kr)] -sum[top(ir,jr,kl)]
+sum[top(ir,jl,kl)] +sum[top(il,jr,kl)] +sum[top(il,jl,kr)]
-sum[top(il,jl,kl)];
}
}
class RangeSet{
private TreeSet<long[]> set;
public RangeSet(){
set = new TreeSet<>(Comparator.comparing(t -> t[0]));
long inf = Util.infL;
set.add(new long[]{-inf, -inf});
set.add(new long[]{inf, inf});
}
public long add(long x){ return add(x,x +1); }
public long add(long l,long r){
long ret = r -l;
long[] t = {l, r};
for (var s = set.floor(t);t[0] <= s[1];s = set.floor(t))
ret -= add(t,s);
for (var s = set.ceiling(t);s[0] <= t[1];s = set.ceiling(t))
ret -= add(t,s);
set.add(t);
return ret;
}
public long remove(long x){ return remove(x,x +1); }
public long remove(long l,long r){
long ret = 0;
long[] t = {l, r};
for (var s = set.floor(t);l < s[1];s = set.floor(t))
ret += remove(t,s);
for (var s = set.ceiling(t);s[0] < r;s = set.ceiling(t))
ret += remove(t,s);
return ret;
}
private long add(long[] t,long[] s){
long ret = min(t[1],s[1]) -max(t[0],s[0]);
set.remove(s);
t[0] = min(t[0],s[0]);
t[1] = max(t[1],s[1]);
return ret;
}
private long remove(long[] t,long[] s){
set.remove(s);
long ret = min(t[1],s[1]) -max(t[0],s[0]);
if (s[0] < t[0])
set.add(new long[]{s[0], t[0]});
if (t[1] < s[1])
set.add(new long[]{t[1], s[1]});
return ret;
}
public long[] get(long x){
long[] ret = set.floor(new long[]{x});
return x < ret[1] ? ret : null;
}
public long mex(){
var t = get(0);
return t == null ? 0 : t[1];
}
public long[][] toArray(){
long[][] ret = new long[set.size() -2][];
long[] x = {set.first()[0]};
for (int i = 0;i < ret.length;i++)
x[0] = (ret[i] = set.higher(x))[0];
return ret;
}
public long cardinality(long l,long r){
long ret = 0;
long[] key = {r};
while (l < r) {
var t = set.lower(key);
if (t[1] <= l)
break;
ret += min(r,t[1]) -max(l,t[0]);
key = t;
}
return ret;
}
public long first(){ return set.higher(new long[]{-Util.infL})[0]; }
}
abstract class BaseV{
public int sz;
public boolean fail;
}
class MyStack<T> extends MyList<T>{
public T pop(){ return remove(size() -1); }
public T peek(){ return get(size() -1); }
}
class MyList<T> implements Iterable<T>{
private T[] arr;
private int sz;
public MyList(){ this(16); }
public MyList(int n){ arr = Util.cast(new Object[max(16,n)]); }
public MyList(MyList<T> org){
this(org.sz);
System.arraycopy(org.arr,0,arr,0,sz = org.sz);
}
public boolean isEmpty(){ return sz == 0; }
public int size(){ return sz; }
public T get(int i){ return arr[i]; }
public void add(T t){ (arr = sz < arr.length ? arr : copyOf(arr,sz *5 >>2))[sz++] = t; }
public void addAll(MyList<T> list){
for (var t:list)
add(t);
}
public T remove(int i){
var ret = arr[i];
sz--;
for (int j = i;j < sz;j++)
arr[j] = arr[j +1];
return ret;
}
public T removeFast(int i){
var ret = arr[i];
arr[i] = arr[--sz];
return ret;
}
public void sort(){ sort(Util.cast(Comparator.naturalOrder())); }
public void sort(Comparator<T> cmp){ Arrays.sort(arr,0,sz,cmp); }
public <U> MyList<U> map(Function<T, U> func){
MyList<U> ret = new MyList<>(sz);
forEach(t -> ret.add(func.apply(t)));
return ret;
}
public MyList<T> rev(){
MyList<T> ret = new MyList<>(sz);
for (int i = sz;i-- > 0;)
ret.add(get(i));
return ret;
}
public T[] toArray(){
if (sz == 0)
return Util.cast(new Object[0]);
T[] ret = Util.cast(Array.newInstance(arr[0].getClass(),sz));
System.arraycopy(arr,0,ret,0,sz);
return ret;
}
public void swap(int i,int j){
var t = arr[i];
arr[i] = arr[j];
arr[j] = t;
}
public void set(int i,T t){ arr[i] = t; }
public void clear(){ sz = 0; }
@Override
public Iterator<T> iterator(){
return new Iterator<>(){
int i = 0;
@Override
public boolean hasNext(){ return i < sz; }
@Override
public T next(){ return arr[i++]; }
};
}
}
class BaseSolver extends Util{
public MyReader in;
public MyWriter out,log;
public BaseSolver(MyReader in,MyWriter out,MyWriter log){
this.in = in;
this.out = out;
this.log = log;
}
public int[][] addId(int[][] T){
return arr(new int[T.length][],i -> {
int[] t = copyOf(T[i],T[i].length +1);
t[t.length -1] = i;
return t;
});
}
public long inv(long x){ return pow(x,mod -2); }
public long inv(long x,long mod){ return (extendGcd(x,mod)[0] +mod) %mod; }
public long pow(long x,long n){ return pow(x,n,Util.mod); }
public long pow(long x,long n,long mod){
long ret = 1;
for (x %= mod;0 < n;x = x *x %mod,n >>= 1)
if ((n &1) == 1)
ret = ret *x %mod;
return ret;
}
public int bSearchI(int o,int n,IntPredicate judge){
for (int m = 0;1 < abs(n -o);)
m = judge.test(m = o +n >>1) ? (o = m) : (n = m);
return o;
}
public long bSearchL(long o,long n,LongPredicate judge){
for (long m = 0;1 < abs(n -o);)
m = judge.test(m = o +n >>1) ? (o = m) : (n = m);
return o;
}
public double bSearchD(double o,double n,DoublePredicate judge){
for (double m,c = 0;c < 200;c++)
m = judge.test(m = (o +n) /2) ? (o = m) : (n = m);
return o;
}
public long gcd(long a,long b){
while (0 < b) {
long t = a;
a = b;
b = t %b;
}
return a;
}
public long[] extendGcd(long a,long b){
long x0 = 1,y0 = 0,x1 = 0,y1 = 1;
while (b != 0) {
long q = a /b,t = a %b,tx = x1,ty = y1;
a = b;
b = t;
x1 = x0 -q *x1;
y1 = y0 -q *y1;
x0 = tx;
y0 = ty;
}
return new long[]{x0, y0, a};
}
public long lcm(long a,long b){ return b /gcd(a,b) *a; }
public long ceil(long a,long b){ return (a +b -1) /b; }
public int lis(int[] arr){
int[] lis = new int[arr.length];
fill(lis,infI);
for (var a:arr) {
int i = bSearchI(0,arr.length,ii -> lis[ii] < a) +1;
lis[i] = a;
}
return bSearchI(0,arr.length,i -> lis[i] < infI) +1;
}
}
class Util{
public static String yes = "Yes",no = "No";
public static int infI = (1 <<30) -1;
public static long infL = (1L <<61 |1 <<30) -1,
mod = 998244353;
public static Random rd = ThreadLocalRandom.current();
private long st = System.currentTimeMillis();
protected long elapsed(){ return System.currentTimeMillis() -st; }
protected void reset(){ st = System.currentTimeMillis(); }
public static int[] arrI(int N,IntUnaryOperator f){
int[] ret = new int[N];
setAll(ret,f);
return ret;
}
public static long[] arrL(int N,IntToLongFunction f){
long[] ret = new long[N];
setAll(ret,f);
return ret;
}
public static double[] arrD(int N,IntToDoubleFunction f){
double[] ret = new double[N];
setAll(ret,f);
return ret;
}
public static <T> T[] arr(T[] arr,IntFunction<T> f){
setAll(arr,f);
return arr;
}
@SuppressWarnings("unchecked")
public static <T> T cast(Object obj){ return (T) obj; }
}
class MyReader{
private byte[] buf = new byte[1 <<16];
private int ptr,tail;
private InputStream in;
public MyReader(InputStream in){ this.in = in; }
private byte read(){
if (ptr == tail)
try {
tail = in.read(buf);
ptr = 0;
} catch (IOException e) {}
return buf[ptr++];
}
private boolean isPrintable(byte c){ return 32 < c && c < 127; }
private byte nextPrintable(){
byte ret = read();
while (!isPrintable(ret))
ret = read();
return ret;
}
public int it(){ return toIntExact(lg()); }
public int[] it(int N){ return Util.arrI(N,i -> it()); }
public int[][] it(int H,int W){ return Util.arr(new int[H][],i -> it(W)); }
public int idx(){ return it() -1; }
public int[] idx(int N){ return Util.arrI(N,i -> idx()); }
public int[][] idx(int H,int W){ return Util.arr(new int[H][],i -> idx(W)); }
public long lg(){
byte i = nextPrintable();
boolean negative = i == 45;
long n = negative ? 0 : i -'0';
while (isPrintable(i = read()))
n = 10 *n +i -'0';
return negative ? -n : n;
}
public long[] lg(int N){ return Util.arrL(N,i -> lg()); }
public long[][] lg(int H,int W){ return Util.arr(new long[H][],i -> lg(W)); }
public double dbl(){ return Double.parseDouble(str()); }
public double[] dbl(int N){ return Util.arrD(N,i -> dbl()); }
public double[][] dbl(int H,int W){ return Util.arr(new double[H][],i -> dbl(W)); }
public char[] ch(){ return str().toCharArray(); }
public char[][] ch(int H){ return Util.arr(new char[H][],i -> ch()); }
public String line(){
StringBuilder sb = new StringBuilder();
for (byte c;(c = read()) != '\n';)
sb.append((char) c);
return sb.toString();
}
public String str(){
StringBuilder sb = new StringBuilder();
sb.append((char) nextPrintable());
for (byte c;isPrintable(c = read());)
sb.append((char) c);
return sb.toString();
}
public String[] str(int N){ return Util.arr(new String[N],i -> str()); }
public String[][] str(int H,int W){ return Util.arr(new String[H][],i -> str(W)); }
}
class MyWriter{
private OutputStream out;
private byte[] buf = new byte[1 <<16],ibuf = new byte[20];
private int tail;
private boolean autoflush;
public MyWriter(OutputStream out,boolean autoflush){
this.out = out;
this.autoflush = autoflush;
}
public void flush(){
try {
out.write(buf,0,tail);
tail = 0;
} catch (IOException e) {
e.printStackTrace();
}
}
private void ln(){
write((byte) '\n');
if (autoflush)
flush();
}
private void write(byte b){
buf[tail++] = b;
if (tail == buf.length)
flush();
}
private void write(long n){
if (n < 0) {
n = -n;
write((byte) '-');
}
int i = ibuf.length;
do {
ibuf[--i] = (byte) (n %10 +'0');
n /= 10;
} while (n > 0);
while (i < ibuf.length)
write(ibuf[i++]);
}
private void print(Object obj){
if (obj instanceof Boolean)
print((boolean) obj ? Util.yes : Util.no);
else if (obj instanceof Integer)
write((int) obj);
else if (obj instanceof Long)
write((long) obj);
else if (obj instanceof char[])
for (char b:(char[]) obj)
write((byte) b);
else if (obj.getClass().isArray()) {
int l = Array.getLength(obj);
for (int i = 0;i < l;i++) {
print(Array.get(obj,i));
if (i +1 < l)
write((byte) ' ');
}
} else
print(Objects.toString(obj).toCharArray());
}
public void println(Object obj){
if (obj == null)
obj = "null";
if (obj instanceof Iterable<?>)
for (Object e:(Iterable<?>) obj)
println(e);
else if (obj.getClass().isArray() && Array.getLength(obj) > 0 && Array.get(obj,0).getClass().isArray()) {
int l = Array.getLength(obj);
for (int i = 0;i < l;i++)
println(Array.get(obj,i));
} else {
print(obj);
ln();
}
}
public void printlns(Object... o){
print(o);
ln();
}
}