結果

問題 No.329 全射
ユーザー uwiuwi
提出日時 2015-12-22 01:58:33
言語 Java
(openjdk 23)
結果
TLE  
実行時間 -
コード長 4,885 bytes
コンパイル時間 4,240 ms
コンパイル使用メモリ 86,320 KB
実行使用メモリ 47,396 KB
最終ジャッジ日時 2024-09-18 18:25:39
合計ジャッジ時間 8,059 ms
ジャッジサーバーID
(参考情報)
judge1 / 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 * 3
other AC * 10 TLE * 1 -- * 29
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

package contest;
import java.io.ByteArrayInputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.ArrayDeque;
import java.util.Arrays;
import java.util.InputMismatchException;
import java.util.Queue;
public class Q663 {
InputStream is;
PrintWriter out;
String INPUT = "";
int mod = 1000000007;
void solve()
{
int n = ni(), m = ni();
int[] w = na(n);
boolean[][] g = new boolean[n][n];
for(int i = 0;i < n;i++){
g[i][i] = true;
}
for(int i = 0;i < m;i++){
g[ni()-1][ni()-1] = true;
}
long ret = 0;
for(int i = 0;i < n;i++){
Queue<Integer> q = new ArrayDeque<Integer>();
boolean[] ved = new boolean[n];
q.add(i);
ved[i] = true;
while(!q.isEmpty()){
int cur = q.poll();
for(int j = 0;j < n;j++){
if(g[j][cur] && w[j] >= w[i] && !ved[j]){
ved[j] = true;
q.add(j);
}
}
}
for(int j = 0;j < n;j++){
if(ved[j]){
// j->i
ret += distinct(w[j], w[i], mod);
}
}
}
out.println(ret%mod);
}
int[][] fif = enumFIF(1000, mod);
long distinct(int a, int b, int mod)
{
if(a < b)return 0;
long ret = 0;
int sig = 1;
long big = 8L*mod*mod;
for(int i = b;i >= 1;i--){
ret += C(b, i, mod, fif) * pow(i, a, mod) * sig;
if(ret >= big)ret -= big;
if(ret <= -big)ret += big;
sig = -sig;
}
ret %= mod;
if(ret < 0)ret += mod;
return ret;
}
public static int[][] enumFIF(int n, int mod) {
int[] f = new int[n + 1];
int[] invf = new int[n + 1];
f[0] = 1;
for (int i = 1; i <= n; i++) {
f[i] = (int) ((long) f[i - 1] * i % mod);
}
long a = f[n];
long b = mod;
long p = 1, q = 0;
while (b > 0) {
long c = a / b;
long d;
d = a;
a = b;
b = d % b;
d = p;
p = q;
q = d - c * q;
}
invf[n] = (int) (p < 0 ? p + mod : p);
for (int i = n - 1; i >= 0; i--) {
invf[i] = (int) ((long) invf[i + 1] * (i + 1) % mod);
}
return new int[][] { f, invf };
}
public static long C(int n, int r, int mod, int[][] fif) {
if (n < 0 || r < 0 || r > n)
return 0;
return (long) fif[0][n] * fif[1][r] % mod * fif[1][n - r] % mod;
}
public static long pow(long a, long n, long mod) {
// a %= mod;
long ret = 1;
int x = 63 - Long.numberOfLeadingZeros(n);
for (; x >= 0; x--) {
ret = ret * ret % mod;
if (n << 63 - x < 0)
ret = ret * a % mod;
}
return ret;
}
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");
}
public static void main(String[] args) throws Exception { new Q663().run(); }
private byte[] inbuf = new byte[1024];
private 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 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[] na(int n)
{
int[] a = new int[n];
for(int i = 0;i < n;i++)a[i] = ni();
return a;
}
private int ni()
{
int num = 0, 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 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)); }
}
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