結果

問題 No.62 リベリオン(Extra)
ユーザー 37zigen
提出日時 2020-04-17 01:42:57
言語 Java
(openjdk 23)
結果
AC  
実行時間 670 ms / 5,000 ms
コード長 5,427 bytes
コンパイル時間 2,368 ms
コンパイル使用メモリ 85,104 KB
実行使用メモリ 59,572 KB
最終ジャッジ日時 2024-10-03 06:44:57
合計ジャッジ時間 3,807 ms
ジャッジサーバーID
(参考情報)
judge5 / judge3
このコードへのチャレンジ
(要ログイン)
ファイルパターン 結果
sample AC * 2
other AC * 3
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.math.BigInteger;
import java.util.Arrays;
import java.util.NoSuchElementException;
public class Main {
long euclid(long x,long y,long a,long b,long m) {
return a==0?y:euclid((y%m-mul(b/a,x,m)+m)%m,x,b%a,a,m);
}
long inv(long a,long m) {
if (a%m==0) return 0;
long v=euclid(1, 0, (a%m+m)%m, m, m);
return v<0?v+m:v;
}
long gcd(long a,long b) {
return a==0?Math.abs(b):gcd(b%a,a);
}
long lcm(long a,long b) {
return a/gcd(a,b)*b;
}
long pow(long a,long n,long p) {
return n!=0?(pow(a,n/2,p)*(n%2==1?a:1)):1;
}
boolean pre(long[] a,long[] m) {
int n=a.length;
for (int i=0;i<n;++i) a[i]=(a[i]%m[i]+m[i])%m[i];
for (int i=0;i<n;++i) {
for (int j=0;j<n;++j) {
if (i==j) continue;
long g=gcd(m[i],m[j]);
if (m[i]%g!=m[j]%g) return false;
if (gcd(m[i]/g,g)>1) {
m[j]/=g;
a[j]%=m[j];
} else {
m[i]/=g;
a[i]%=m[i];
}
}
}
return true;
}
long mul(long a,long b,long m) {
a=(a%m+m)%m;b=(b%m+m)%m;
if (a==0) return 0;
if (a==1) return b%m;
if (a%2==1) return (mul(a-1,b,m)+b)%m;
return 2*mul(a/2,b,m)%m;
}
long garner(long[] a,long[] m) {
if (!pre(a,m)) return -1;
long ret=0,prd=1;
for (int i=0;i<a.length;++i) {
if (m[i]==1) continue;
ret+=mul(inv(prd,m[i]),(a[i]-ret),m[i])*prd;
for (int j=0;j<=i;++j) {
assert ret%m[j]==a[j];
}
prd=prd*m[i];
}
return ret<0?ret+prd:ret;
}
boolean solve(long W_,long H_,long D_,long dx_,long dy_,long sx_,long sy_,long vx_,long vy_) {
long denominator=gcd(vx_,vy_);
boolean ans=false;
for (int i=0;i<=1;++i) {
for (int j=0;j<=1;++j) {
long W=W_,H=H_,vx=vx_,vy=vy_,sx=sx_,sy=sy_,dx=dx_,dy=dy_;
vx/=denominator;vy/=denominator;
long a=(W-sx+(i==0?1:(W-1))*dx)%W;
long b=(H-sy+(j==0?1:(H-1))*dy)%H;
if (a%gcd(vx,W)!=0) continue;
if (b%gcd(vy,H)!=0) continue;
if (vx==0&&sx!=dx) continue;
if (vy==0&&sy!=dy) continue;
long g;
g=gcd(vx,W);
a/=g;vx/=g;W/=g;
g=gcd(vy,H);
b/=g;vy/=g;H/=g;
a=a*inv((vx%W+W)%W,W)%W;
b=b*inv((vy%H+H)%H,H)%H;
if (a%gcd(W,H)!=b%gcd(W,H)) continue;
long[] mod={W,H};
long[] target={a,b};
long t=garner(target,mod);
if (t==-1) continue;
assert t%mod[0]==target[0];
assert t%mod[1]==target[1];
long dt=lcm(W/gcd(vx,W),H/gcd(vy,H));
for (long T:new long[] {t,t+dt}) {
if (T>D_*denominator) break;
long sign_x=(mul(vx_/denominator%(2*W_),T,(2*W_))+sx_)%(2*W_);
long sign_y=(mul(vy_/denominator%(2*H_),T,(2*H_))+sy_)%(2*H_);
if (sign_x<0) sign_x-=W_;
if (sign_y<0) sign_y-=H_;
if (Math.abs(sign_x)/W_%2!=i) continue;
if (Math.abs(sign_y)/H_%2!=j) continue;
ans|=true;
}
}
}
return ans;
}
void run() {
FastScanner sc=new FastScanner();
PrintWriter pw=new PrintWriter(System.out);
int Q=sc.nextInt();
for (int q=0;q<Q;++q) {
long W=sc.nextLong();
long H=sc.nextLong();
long D=sc.nextLong();
long dx=sc.nextLong();
long dy=sc.nextLong();
long sx=sc.nextLong();
long sy=sc.nextLong();
long vx=sc.nextLong();
long vy=sc.nextLong();
boolean ans=solve(W,H,D,dx,dy,sx,sy,vx,vy);
pw.println(ans?"Hit":"Miss");
}
pw.close();
}
void tr(Object...objects) {System.out.println(Arrays.deepToString(objects));}
public static void main(String[] args) {
new Main().run();
}
}
class FastScanner {
private final InputStream in = System.in;
private final byte[] buffer = new byte[1024];
private int ptr = 0;
private int buflen = 0;
private boolean hasNextByte() {
if (ptr < buflen) {
return true;
}else{
ptr = 0;
try {
buflen = in.read(buffer);
} catch (IOException e) {
e.printStackTrace();
}
if (buflen <= 0) {
return false;
}
}
return true;
}
private int readByte() { if (hasNextByte()) return buffer[ptr++]; else return -1;}
private static boolean isPrintableChar(int c) { return 33 <= c && c <= 126;}
private void skipUnprintable() { while(hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++;}
public boolean hasNext() { skipUnprintable(); return hasNextByte();}
public String next() {
if (!hasNext()) throw new NoSuchElementException();
StringBuilder sb = new StringBuilder();
int b = readByte();
while(isPrintableChar(b)) {
sb.appendCodePoint(b);
b = readByte();
}
return sb.toString();
}
public long nextLong() {
if (!hasNext()) throw new NoSuchElementException();
long n = 0;
boolean minus = false;
int b = readByte();
if (b == '-') {
minus = true;
b = readByte();
}
if (b < '0' || '9' < b) {
throw new NumberFormatException();
}
while(true){
if ('0' <= b && b <= '9') {
n *= 10;
n += b - '0';
}else if(b == -1 || !isPrintableChar(b)){
return minus ? -n : n;
}else{
throw new NumberFormatException();
}
b = readByte();
}
}
public int nextInt() {
return (int)nextLong();
}
}
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