結果
問題 | No.62 リベリオン(Extra) |
ユーザー |
|
提出日時 | 2016-11-02 18:56:57 |
言語 | Java (openjdk 23) |
結果 |
AC
|
実行時間 | 1,963 ms / 5,000 ms |
コード長 | 10,344 bytes |
コンパイル時間 | 4,143 ms |
コンパイル使用メモリ | 79,720 KB |
実行使用メモリ | 84,476 KB |
最終ジャッジ日時 | 2024-11-25 01:31:53 |
合計ジャッジ時間 | 7,427 ms |
ジャッジサーバーID (参考情報) |
judge2 / judge4 |
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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.*;import java.math.*;import java.util.*;public class Main_yukicoder62 {private static Scanner sc;private static Printer pr;private static void solve() {int q = sc.nextInt();for (int tcase = 0; tcase < q; tcase++) {long w = sc.nextInt();long h = sc.nextInt();long d = sc.nextInt();long mx = sc.nextInt();long my = sc.nextInt();long hx = sc.nextInt();long hy = sc.nextInt();long vx = sc.nextInt();long vy = sc.nextInt();if (vx < 0) {vx = -vx;mx = w - mx;hx = w - hx;}if (vy < 0) {vy = -vy;my = h - my;hy = h - hy;}if (isHit(vx, vy, hx, hy, mx, my, w, h, d)|| isHit(vx, vy, hx, hy, w + w - mx, my, w, h, d)|| isHit(vx, vy, hx, hy, mx, h + h - my, w, h, d)|| isHit(vx, vy, hx, hy, w + w - mx, h + h - my, w, h, d)) {pr.println("Hit");} else {pr.println("Miss");}}}private static boolean isHit(long vx, long vy, long hx, long hy, long mx, long my, long w, long h, long d) {// long x = (long)2 * w * vy;// long y = (long)2 * h * vx;// long z = (long)vx * (my - hy) - (long)vy * (mx - hx);BigInteger bx = BigInteger.valueOf(2).multiply(BigInteger.valueOf(w)).multiply(BigInteger.valueOf(vy));BigInteger by = BigInteger.valueOf(2).multiply(BigInteger.valueOf(h)).multiply(BigInteger.valueOf(vx));BigInteger bz = BigInteger.valueOf(vx).multiply(BigInteger.valueOf(my).subtract(BigInteger.valueOf(hy))).subtract(BigInteger.valueOf(vy).multiply(BigInteger.valueOf(mx).subtract(BigInteger.valueOf(hx))));// long[] ab = new long[2];// long gcd = extgcd(x, y, ab);// if (z % gcd != 0) {// return false;// }BigInteger[] bab = new BigInteger[2];BigInteger bgcd = bextgcd(bx, by, bab);if (bz.mod(bgcd).compareTo(BigInteger.ZERO) != 0) {return false;}// long mul = z / gcd;BigInteger bmul = bz.divide(bgcd);// ab[0] *= mul;// ab[1] *= mul;// x /= gcd;// y /= gcd;bab[0] = bab[0].multiply(bmul);bab[1] = bab[1].multiply(bmul);bx = bx.divide(bgcd);by = by.divide(bgcd);// BigInteger n = BigInteger.valueOf(Long.MIN_VALUE);// if (bx.compareTo(BigInteger.ZERO) != 0) {// n = n.max(BigInteger.valueOf(hy).subtract(BigInteger.valueOf(my)).add(BigInteger.valueOf(2).multiply(BigInteger.valueOf(h).multiply(bab[1]))).add(BigInteger.valueOf(2).multiply(BigInteger.valueOf(h).multiply(bx).subtract(BigInteger.ONE))).divide(BigInteger.valueOf(2).multiply(BigInteger.valueOf(h)).multiply(bx)));// }// if (by.compareTo(BigInteger.ZERO) != 0) {// n = n.max(BigInteger.valueOf(hx).subtract(BigInteger.valueOf(mx)).subtract(BigInteger.valueOf(2).multiply(BigInteger.valueOf(w).multiply(bab[0]))).add(BigInteger.valueOf(2).multiply(BigInteger.valueOf(w).multiply(by).subtract(BigInteger.ONE))).divide(BigInteger.valueOf(2).multiply(BigInteger.valueOf(w)).multiply(by)));// }long l = -4_000_000_000_000_000_000L;long r = 4_000_000_000_000_000_000L;while (r - l > 1) {long mid = l + (r - l) / 2;// long mdx = mx + 2 * w * (ab[0] + y * mid) - hx;// long mdy = my + 2 * w * -(ab[1] - x * mid) - hy;BigInteger mdx = BigInteger.valueOf(mx).add(BigInteger.valueOf(2).multiply(BigInteger.valueOf(w)).multiply(bab[0].add(by.multiply(BigInteger.valueOf(mid))))).subtract(BigInteger.valueOf(hx));BigInteger mdy = BigInteger.valueOf(my).add(BigInteger.valueOf(2).multiply(BigInteger.valueOf(h)).multiply(bab[1].negate().add(bx.multiply(BigInteger.valueOf(mid))))).subtract(BigInteger.valueOf(hy));// if (ab[0] + y * mid >= 0 && ab[1] - x * mid >= 0) {// if (mdx >= 0 && mdy >= 0) {if (mdx.compareTo(BigInteger.ZERO) >= 0 && mdy.compareTo(BigInteger.ZERO) >= 0) {r = mid;} else {l = mid;}}// if (n.compareTo(BigInteger.valueOf(r)) != 0) {// pr.printf("differ %s %s\n", n, r);// r = n.longValue();// }BigInteger mdx = BigInteger.valueOf(mx).add(BigInteger.valueOf(2).multiply(BigInteger.valueOf(w)).multiply(bab[0].add(by.multiply(BigInteger.valueOf(r))))).subtract(BigInteger.valueOf(hx));BigInteger mdy = BigInteger.valueOf(my).add(BigInteger.valueOf(2).multiply(BigInteger.valueOf(h)).multiply(bab[1].negate().add(bx.multiply(BigInteger.valueOf(r))))).subtract(BigInteger.valueOf(hy));// BigInteger min = mdx.divide(BigInteger.valueOf(vx)).min(mdy.divide(BigInteger.valueOf(vy)));// for (long i = r + 1; i < r + 1000000; i++) {// BigInteger mdxtmp = BigInteger.valueOf(mx).add(BigInteger.valueOf(2).multiply(BigInteger.valueOf(w)).multiply(bab[0].add(by.multiply(BigInteger.valueOf(i))))).subtract(BigInteger.valueOf(hx));// BigInteger mdytmp = BigInteger.valueOf(my).add(BigInteger.valueOf(2).multiply(BigInteger.valueOf(w)).multiply(bab[1].negate().add(bx.multiply(BigInteger.valueOf(i))))).subtract(BigInteger.valueOf(hy));// BigInteger mintmp = mdxtmp.divide(BigInteger.valueOf(vx)).min(mdytmp.divide(BigInteger.valueOf(vy)));//// if (mintmp.compareTo(min) <= 0) {// min = mintmp;// mdx = mdxtmp;// mdy = mdytmp;// } else {// break;// }// }// return r;// ab[0] = r * y + ab[0];// ab[1] = r * (-x) + ab[1];// long mdx = mx + 2 * w * ab[0] - hx;// long mdy = my + 2 * w * -ab[1] - hy;// BigInteger mdx = BigInteger.valueOf(mx).add(BigInteger.valueOf(2).multiply(BigInteger.valueOf(w)).multiply(bab[0].add(by.multiply(BigInteger.valueOf(r))))).subtract(BigInteger.valueOf(hx));// BigInteger mdy = BigInteger.valueOf(my).add(BigInteger.valueOf(2).multiply(BigInteger.valueOf(w)).multiply(bab[1].negate().add(bx.multiply(BigInteger.valueOf(r))))).subtract(BigInteger.valueOf(hy));// if (mdx < 0 || mdx > (long)d * vx) {if (mdx.compareTo(BigInteger.ZERO) < 0 || mdx.compareTo(BigInteger.valueOf(d).multiply(BigInteger.valueOf(vx))) > 0) {return false;}// if (mdy < 0 || mdy > (long)d * vy) {if (mdy.compareTo(BigInteger.ZERO) < 0 || mdy.compareTo(BigInteger.valueOf(d).multiply(BigInteger.valueOf(vy))) > 0) {return false;}return true;}private static BigInteger bextgcd(BigInteger n, BigInteger m, BigInteger[] xy) {if (m.compareTo(BigInteger.ZERO) == 0) {xy[0] = BigInteger.ONE;xy[1] = BigInteger.ZERO;return n;} else {BigInteger ret = bextgcd(m, n.mod(m), xy);BigInteger tmp = xy[1];xy[1] = xy[0].subtract(n.divide(m).multiply(tmp));xy[0] = tmp;return ret;}}/*private static long extgcd(long n, long m, long[] xy) {if (m == 0) {xy[0] = 1;xy[1] = 0;return n;} else {long ret = extgcd(m, n % m, xy);long tmp = xy[1];xy[1] = xy[0] - n / m * tmp;xy[0] = tmp;return ret;}}*/// ---------------------------------------------------public static void main(String[] args) {sc = new Scanner(System.in);pr = new Printer(System.out);solve();pr.close();sc.close();}@SuppressWarnings("unused")private static class Scanner {BufferedReader br;Scanner (InputStream in) {br = new BufferedReader(new InputStreamReader(in));}private boolean isPrintable(int ch) {return ch >= '!' && ch <= '~';}private boolean isCRLF(int ch) {return ch == '\n' || ch == '\r' || ch == -1;}private int nextPrintable() {try {int ch;while (!isPrintable(ch = br.read())) {if (ch == -1) {throw new NoSuchElementException();}}return ch;} catch (IOException e) {throw new NoSuchElementException();}}String next() {try {int ch = nextPrintable();StringBuilder sb = new StringBuilder();do {sb.appendCodePoint(ch);} while (isPrintable(ch = br.read()));return sb.toString();} catch (IOException e) {throw new NoSuchElementException();}}int nextInt() {try {// parseInt from Integer.parseInt()boolean negative = false;int res = 0;int limit = -Integer.MAX_VALUE;int radix = 10;int fc = nextPrintable();if (fc < '0') {if (fc == '-') {negative = true;limit = Integer.MIN_VALUE;} else if (fc != '+') {throw new NumberFormatException();}fc = br.read();}int multmin = limit / radix;int ch = fc;do {int digit = ch - '0';if (digit < 0 || digit >= radix) {throw new NumberFormatException();}if (res < multmin) {throw new NumberFormatException();}res *= radix;if (res < limit + digit) {throw new NumberFormatException();}res -= digit;} while (isPrintable(ch = br.read()));return negative ? res : -res;} catch (IOException e) {throw new NoSuchElementException();}}long nextLong() {try {// parseLong from Long.parseLong()boolean negative = false;long res = 0;long limit = -Long.MAX_VALUE;int radix = 10;int fc = nextPrintable();if (fc < '0') {if (fc == '-') {negative = true;limit = Long.MIN_VALUE;} else if (fc != '+') {throw new NumberFormatException();}fc = br.read();}long multmin = limit / radix;int ch = fc;do {int digit = ch - '0';if (digit < 0 || digit >= radix) {throw new NumberFormatException();}if (res < multmin) {throw new NumberFormatException();}res *= radix;if (res < limit + digit) {throw new NumberFormatException();}res -= digit;} while (isPrintable(ch = br.read()));return negative ? res : -res;} catch (IOException e) {throw new NoSuchElementException();}}float nextFloat() {return Float.parseFloat(next());}double nextDouble() {return Double.parseDouble(next());}String nextLine() {try {int ch;while (isCRLF(ch = br.read())) {if (ch == -1) {throw new NoSuchElementException();}}StringBuilder sb = new StringBuilder();do {sb.appendCodePoint(ch);} while (!isCRLF(ch = br.read()));return sb.toString();} catch (IOException e) {throw new NoSuchElementException();}}void close() {try {br.close();} catch (IOException e) {// throw new NoSuchElementException();}}}private static class Printer extends PrintWriter {Printer(PrintStream out) {super(out);}}}