結果
問題 | No.62 リベリオン(Extra) |
ユーザー |
|
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 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 2 |
other | AC * 3 |
ソースコード
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();}}