結果
| 問題 |
No.461 三角形はいくつ?
|
| コンテスト | |
| ユーザー |
|
| 提出日時 | 2016-12-12 00:18:13 |
| 言語 | Java (openjdk 23) |
| 結果 |
AC
|
| 実行時間 | 3,112 ms / 5,000 ms |
| コード長 | 5,418 bytes |
| コンパイル時間 | 4,161 ms |
| コンパイル使用メモリ | 80,768 KB |
| 実行使用メモリ | 56,484 KB |
| 最終ジャッジ日時 | 2024-11-29 04:10:44 |
| 合計ジャッジ時間 | 50,351 ms |
|
ジャッジサーバーID (参考情報) |
judge3 / judge4 |
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| ファイルパターン | 結果 |
|---|---|
| sample | AC * 4 |
| other | AC * 41 |
ソースコード
package adv2016;
import java.io.ByteArrayInputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.Comparator;
import java.util.InputMismatchException;
public class N461 {
InputStream is;
PrintWriter out;
String INPUT = "";
void solve()
{
int n = ni();
long[][][] es = new long[3][n+1][];
int[] ep = new int[3];
for(int i = 0;i < 3;i++){
es[i][ep[i]++] = new long[]{1, 1};
}
for(int i = 0;i < n;i++){
int t = ni();
int x = ni(), y = ni();
es[t][ep[t]++] = new long[]{x, x+y};
}
Arrays.sort(es[2], 0, ep[2], new Comparator<long[]>() {
public int compare(long[] a, long[] b) {
return Long.compare((long)a[0]*b[1], (long)a[1]*b[0]);
}
});
long ret = 0;
for(int i = 0;i < ep[0];i++){
for(int j = 0;j < ep[1];j++){
long[] ad = add(es[0][i], es[1][j]);
if(ad[0] < ad[1])continue;
long[] low0 = {es[0][i][1]-es[0][i][0], es[0][i][1]};
long[] low1 = {es[1][j][1]-es[1][j][0], es[1][j][1]};
long[] low = null;
if(compare(low0, low1) < 0){
low = low1;
}else{
low = low0;
}
int lb = lowerBound(es[2], ep[2], low);
long[] rem = sub(new long[]{2, 1}, ad);
ret += ep[2]-lb;
int hit = lowerBound(es[2], ep[2], rem);
if(hit < ep[2] && compare(es[2][hit], rem) == 0){
ret--;
}
}
}
out.println(ret);
}
public static int lowerBound(long[][] es, int p, long[] r)
{
int low = -1, high = p;
while(high-low > 1){
int h = high+low>>>1;
if(Long.compare(r[0]*es[h][1], r[1]*es[h][0]) <= 0){
high = h;
}else{
low = h;
}
}
return high;
}
public static long[] reduce(long[] f)
{
if(f[1] == 0) { // n/0
f[0] = 1;
}else if(f[0] == 0) { // 0/n
f[1] = 1;
}else {
if(f[1] < 0) { // -a/-b ->a/b
f[0] = -f[0];
f[1] = -f[1];
}
long a = Math.abs(f[0]), b = f[1];
while (b > 0) {
long c = a;
a = b;
b = c % b;
}
f[0] /= a;
f[1] /= a;
}
return f;
}
public static long[] add(long[] a, long[] b){ return reduce(new long[]{a[0]*b[1]+a[1]*b[0], a[1]*b[1]}); }
public static long[] sub(long[] a, long[] b){ return reduce(new long[]{a[0]*b[1]-a[1]*b[0], a[1]*b[1]}); }
public static long[] mul(long[] a, long[] b){ return reduce(new long[]{a[0]*b[0], a[1]*b[1]}); }
public static long[] div(long[] a, long[] b){ return reduce(new long[]{a[0]*b[1], a[1]*b[0]}); }
public static int compare(long[] a, long[] b){return Long.signum(a[0] * b[1] - a[1] * b[0]);}
public static long[] min(long[] a, long[] b){ return compare(a, b) <= 0 ? a : b; }
public static long[] max(long[] a, long[] b){ return compare(a, b) >= 0 ? a : b; }
void run() throws Exception
{
is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes());
out = new PrintWriter(System.out);
long s = System.currentTimeMillis();
solve();
out.flush();
if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms");
// Thread t = new Thread(null, null, "~", Runtime.getRuntime().maxMemory()){
// @Override
// public void run() {
// long s = System.currentTimeMillis();
// solve();
// out.flush();
// if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms");
// }
// };
// t.start();
// t.join();
}
public static void main(String[] args) throws Exception { new N461().run(); }
private byte[] inbuf = new byte[1024];
public int lenbuf = 0, ptrbuf = 0;
private int readByte()
{
if(lenbuf == -1)throw new InputMismatchException();
if(ptrbuf >= lenbuf){
ptrbuf = 0;
try { lenbuf = is.read(inbuf); } catch (IOException e) { throw new InputMismatchException(); }
if(lenbuf <= 0)return -1;
}
return inbuf[ptrbuf++];
}
private boolean isSpaceChar(int c) { return !(c >= 33 && c <= 126); }
private int skip() { int b; while((b = readByte()) != -1 && isSpaceChar(b)); return b; }
private double nd() { return Double.parseDouble(ns()); }
private char nc() { return (char)skip(); }
private String ns()
{
int b = skip();
StringBuilder sb = new StringBuilder();
while(!(isSpaceChar(b))){ // when nextLine, (isSpaceChar(b) && b != ' ')
sb.appendCodePoint(b);
b = readByte();
}
return sb.toString();
}
private char[] ns(int n)
{
char[] buf = new char[n];
int b = skip(), p = 0;
while(p < n && !(isSpaceChar(b))){
buf[p++] = (char)b;
b = readByte();
}
return n == p ? buf : Arrays.copyOf(buf, p);
}
private int[] na(int n)
{
int[] a = new int[n];
for(int i = 0;i < n;i++)a[i] = ni();
return a;
}
private long[] nal(int n)
{
long[] a = new long[n];
for(int i = 0;i < n;i++)a[i] = nl();
return a;
}
private char[][] nm(int n, int m) {
char[][] map = new char[n][];
for(int i = 0;i < n;i++)map[i] = ns(m);
return map;
}
private int[][] nmi(int n, int m) {
int[][] map = new int[n][];
for(int i = 0;i < n;i++)map[i] = na(m);
return map;
}
private int ni() { return (int)nl(); }
private long nl()
{
long num = 0;
int b;
boolean minus = false;
while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'));
if(b == '-'){
minus = true;
b = readByte();
}
while(true){
if(b >= '0' && b <= '9'){
num = num * 10 + (b - '0');
}else{
return minus ? -num : num;
}
b = readByte();
}
}
private static void tr(Object... o) { System.out.println(Arrays.deepToString(o)); }
}