結果
| 問題 | No.456 Millions of Submits! |
| コンテスト | |
| ユーザー |
 tanzaku
|
| 提出日時 | 2016-12-08 01:09:29 |
| 言語 | Java (openjdk 23) |
| 結果 |
AC
|
| 実行時間 | 2,719 ms / 4,500 ms |
| コード長 | 7,576 bytes |
| 記録 | |
| コンパイル時間 | 4,515 ms |
| コンパイル使用メモリ | 86,836 KB |
| 実行使用メモリ | 51,112 KB |
| 最終ジャッジ日時 | 2024-06-23 05:52:28 |
| 合計ジャッジ時間 | 14,918 ms |
|
ジャッジサーバーID （参考情報） |
judge5 / judge4 |
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| ファイルパターン | 結果 |
|---|---|
| other | AC * 13 |
ソースコード
import java.io.*;
import java.math.*;
import java.util.*;
import static java.util.Arrays.*;
public class _456 {
private static final int mod = (int)1e9+7;
final Random random = new Random(0);
final IOFast io = new IOFast();
/// MAIN CODE
public void run() throws IOException {
int TEST_CASE = Integer.parseInt(new String(io.nextLine()).trim());
// int TEST_CASE = 1;
while(TEST_CASE-- != 0) {
a = io.nextInt();
b = io.nextInt();
// a = random.nextInt(10)+1;
// b = random.nextInt(10)+1;
double t = io.nextDouble();
// double t = random.nextDouble() * 10;
// a = 1;
// b = 1;
// double t = 10;
// if (b == 0) {
//// io.out.printf("%.10f\n", Math.pow(t, 1.0/a));
// print(Math.pow(t, 1.0/a));
// continue;
// }
// if (a == 0) {
//// io.out.printf("%.10f\n", Math.exp(Math.pow(t, 1.0/b)));
// print(Math.exp(Math.pow(t, 1.0/b)));
// continue;
// }
// io.out.printf("%.10f\n", solve1(t));
// io.out.printf("%.10f\n", solve2(t));
print(solve1(t));
// print(solve2(t));
// solve2(t);
}
}
void print(double x) {
if (x < 0) {
if (true) throw new RuntimeException();
x = -x;
io.out.print('-');
}
x += 5e-11;
io.out.print((int)x);
io.out.print('.');
for (int i = 0; i < 10; i++) {
x -= (int)x;
x *= 10;
io.out.print((int)x);
}
io.out.println();
}
double solve1(double t) {
double x = 1;
for (; ; x *= 2) {
if (f(x) >= t) break;
}
double ans = 0;
// for (int i = 0; x > 1e-13; i++, x /= 2) {
for (int i = 0; i < 50; i++, x /= 2) {
if (f(ans + x) <= t) ans += x;
}
// dump(f(ans));
// io.out.printf("%.10f\n", ans);
return ans;
}
double solve2(double t) {
double x = 2;
for (int i = 0; i < 23; i++) {
double lx = Math.log(x);
double v = pow(x, a - 1) * pow(lx, b - 1);
double f1 = v * x * lx - t;
double f2 = v * (a * lx + b);
// dump(x, f1, f2);
// double d = Math.abs(f1 / f2);
// if (Math.min(d, d / x) < 1e-10) break;
x -= f1 / f2;
}
return x;
}
int a, b;
double f(double x) {
// return Math.pow(x, a) * Math.pow(Math.log(x), b);
return pow(x, a) * pow(Math.log(x), b);
}
double pow(double x, int a) {
double y = 1;
for (int i = 0; i < a; i++) y *= x;
return y;
}
// static double pow(double n, int r) {
// double res = 1;
// for(; r != 0; r >>>= 1, n = n * n) {
// if((r&1) == 1) {
// res = res * n;
// }
// }
// return res;
// }
/// TEMPLATE
static int gcd(int n, int r) { return r == 0 ? n : gcd(r, n%r); }
static long gcd(long n, long r) { return r == 0 ? n : gcd(r, n%r); }
static <T> void swap(T[] x, int i, int j) { T t = x[i]; x[i] = x[j]; x[j] = t; }
static void swap(int[] x, int i, int j) { int t = x[i]; x[i] = x[j]; x[j] = t; }
void printArrayLn(int[] xs) { for(int i = 0; i < xs.length; i++) io.out.print(xs[i] + (i==xs.length-1?"\n":" ")); }
void printArrayLn(long[] xs) { for(int i = 0; i < xs.length; i++) io.out.print(xs[i] + (i==xs.length-1?"\n":" ")); }
static void dump(Object... o) { System.err.println(Arrays.deepToString(o)); }
void main() throws IOException {
// IOFast.setFileIO("rle-size.in", "rle-size.out");
try { run(); }
catch (EndOfFileRuntimeException e) { }
io.out.flush();
}
public static void main(String[] args) throws IOException { new _456().main(); }
static class EndOfFileRuntimeException extends RuntimeException {
private static final long serialVersionUID = -8565341110209207657L; }
static
public class IOFast {
private InputStream in = System.in;
private PrintWriter out = new PrintWriter(System.out);
private static int pos, readLen;
private static final byte[] buffer = new byte[1024 * 8];
private static char[] str = new char[500*8*2];
private static boolean[] isDigit = new boolean[256];
private static boolean[] isSpace = new boolean[256];
private static boolean[] isLineSep = new boolean[256];
static { for(int i = 0; i < 10; i++) { isDigit['0' + i] = true; } isDigit['-'] = true; isSpace[' '] = isSpace['\r'] = isSpace['\n'] = isSpace['\t'] = true; isLineSep['\r'] = isLineSep['\n'] = true; }
public byte read() throws IOException { if(pos >= readLen) { pos = 0; readLen = in.read(buffer); if(readLen <= 0) { throw new EndOfFileRuntimeException(); } } return buffer[pos++]; }
public int nextInt() throws IOException {
byte first = (byte)nextChar();
boolean minus = false;
int res = 0;
if (first == '-') {
minus = true;
} else {
res = first - '0';
}
while (true) {
byte b = read();
if (isSpace[b]) break;
res = res * 10 + b - '0';
}
return minus ? -res : res;
}
public long nextLong() throws IOException { int len = 0; str[len++] = nextChar(); len = reads(len, isSpace); int i = 0; long ret = 0; if(str[0] == '-') { i = 1; } for(; i < len; i++) ret = ret * 10 + str[i] - '0'; if(str[0] == '-') { ret = -ret; } return ret; }
public char nextChar() throws IOException { while(true) { final int c = read(); if(!isSpace[c]) { return (char)c; } } }
int reads(int len, boolean[] accept) throws IOException { try { while(true) { final int c = read(); if(accept[c]) { break; } if(str.length == len) { char[] rep = new char[str.length * 3 / 2]; System.arraycopy(str, 0, rep, 0, str.length); str = rep; } str[len++] = (char)c; } } catch(EndOfFileRuntimeException e) { ; } return len; }
int reads(char[] cs, int len, boolean[] accept) throws IOException { try { while(true) { final int c = read(); if(accept[c]) { break; } cs[len++] = (char)c; } } catch(EndOfFileRuntimeException e) { ; } return len; }
public char[] nextLine() throws IOException { int len = 0; str[len++] = nextChar(); len = reads(len, isLineSep); try { if(str[len-1] == '\r') { len--; read(); } } catch(EndOfFileRuntimeException e) { ; } return Arrays.copyOf(str, len); }
public String nextString() throws IOException { return new String(next()); }
public char[] next() throws IOException { int len = 0; str[len++] = nextChar(); len = reads(len, isSpace); return Arrays.copyOf(str, len); }
// public int next(char[] cs) throws IOException { int len = 0; cs[len++] = nextChar(); len = reads(cs, len, isSpace); return len; }
// public double nextDouble() throws IOException { return Double.parseDouble(nextString()); }
public double nextDouble() throws IOException {
double res = nextChar() - '0';
while (true) {
byte c = read();
if (isSpace[c]) return res;
if (c == '.') break;
res = res * 10 + c - '0';
}
double d = 1;
while (true) {
byte c = read();
// dump(c);
if (!isDigit[c]) break;
res = res * 10 + c - '0';
d *= 10;
}
// dump(1);
return res / d;
}
public long[] nextLongArray(final int n) throws IOException { final long[] res = new long[n]; for(int i = 0; i < n; i++) { res[i] = nextLong(); } return res; }
public int[] nextIntArray(final int n) throws IOException { final int[] res = new int[n]; for(int i = 0; i < n; i++) { res[i] = nextInt(); } return res; }
public int[][] nextIntArray2D(final int n, final int k) throws IOException { final int[][] res = new int[n][]; for(int i = 0; i < n; i++) { res[i] = nextIntArray(k); } return res; }
public int[][] nextIntArray2DWithIndex(final int n, final int k) throws IOException { final int[][] res = new int[n][k+1]; for(int i = 0; i < n; i++) { for(int j = 0; j < k; j++) { res[i][j] = nextInt(); } res[i][k] = i; } return res; }
public double[] nextDoubleArray(final int n) throws IOException { final double[] res = new double[n]; for(int i = 0; i < n; i++) { res[i] = nextDouble(); } return res; }
}
}