結果
| 問題 | No.329 全射 |
| ユーザー |
 ぴろず
|
| 提出日時 | 2015-12-22 19:47:04 |
| 言語 | Java (openjdk 23) |
| 結果 |
AC
|
| 実行時間 | 279 ms / 2,000 ms |
| コード長 | 6,480 bytes |
| コンパイル時間 | 2,151 ms |
| コンパイル使用メモリ | 78,140 KB |
| 実行使用メモリ | 66,752 KB |
| 最終ジャッジ日時 | 2024-09-18 18:43:00 |
| 合計ジャッジ時間 | 9,448 ms |
|
ジャッジサーバーID （参考情報） |
judge3 / judge2 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 40 |
ソースコード
package no329;
import java.io.FileNotFoundException;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.InputMismatchException;
import java.util.NoSuchElementException;
public class Main {
public static final long MOD = 1000000007;
public static final long MOD_SQ = MOD * MOD;
public static final int WMAX = 1000;
static long[] fact = Mod.factorialArray(WMAX, MOD);
static long[][] comb = Mod.combinationArray(1000, 1000, MOD);
static long[][] pow = new long[WMAX+1][WMAX+1];
public static void main(String[] args) throws FileNotFoundException {
long stime = System.nanoTime();
for(int i=1;i<=WMAX;i++) {
pow[i][0] = 1;
for(int j=1;j<=WMAX;j++) {
pow[i][j] = pow[i][j-1] * i % MOD;
}
}
// IO io = new IO(new FileInputStream("329.txt"));
IO io = new IO();
int n = io.nextInt();
int m = io.nextInt();
int[] w = new int[n];
for(int i=0;i<n;i++) {
w[i] = io.nextInt();
}
int[][] d = new int[n][n];
for(int i=0;i<n;i++) {
d[i][i] = w[i];
}
for(int i=0;i<m;i++) {
int u = io.nextInt() - 1;
int v = io.nextInt() - 1;
d[u][v] = w[u];
}
for(int k=0;k<n;k++) {
for(int i=0;i<n;i++) {
for(int j=0;j<n;j++) {
d[i][j] = Math.max(d[i][j], Math.min(d[i][k], d[k][j]));
}
}
}
// System.out.println(Arrays.deepToString(d));
long[][] memo = new long[WMAX+1][WMAX+1];
long ans = 0;
for(int i=0;i<n;i++) {
for(int j=0;j<n;j++) {
if (d[i][j] >= w[j]) {
int a = w[i];
int b = w[j];
if (a == b) {
ans += fact[a];
}else{
if (memo[a][b] != 0) {
ans += memo[a][b];
}else{
long sum = 0;
for(int k=0;k<=b;k++) {
long x = comb[b][k] * pow[k][a];
if ((b - k) % 2 == 0) {
sum += x;
}else{
sum += (MOD_SQ - x);
}
if (sum >= MOD_SQ) {
sum -= MOD_SQ;
}
}
// System.out.println(i + "," + j + ":" + a + "->" + b + ":" + sum % MOD);
// ans += memo[a][b] = sum;
ans += sum;
}
}
if (ans >= MOD_SQ) {
ans -= MOD_SQ;
}
}
}
}
System.out.println(ans % MOD);
// System.out.println((System.nanoTime() - stime) / 1000000 + " ms");
}
}
class Mod {
public static long[] factorialArray(int maxN,long mod) {
long[] fact = new long[maxN+1];
fact[0] = 1 % mod;
for(int i=1;i<=maxN;i++) {
fact[i] = fact[i-1] * i % mod;
}
return fact;
}
public static long[][] combinationArray(int maxN,int maxR,long mod) {
long[][] c = new long[maxN+1][maxR+1];
for(int i=0;i<=maxN;i++) {
c[i][0] = 1;
c[i][i] = 1;
}
for(int i=1;i<=maxN;i++) {
for(int j=1;j<=i-1;j++) {
c[i][j] = c[i-1][j-1] + c[i-1][j];
if (c[i][j] >= mod) {
c[i][j] -= mod;
}
}
}
return c;
}
public static long pow(long a,long n,long mod) {
long res = 1;
while(n > 0) {
if ((n & 1) > 0) {
res = (res * a) % mod;
}
a = (a * a) % mod;
n/=2;
}
return res;
}
}
class IO extends PrintWriter {
private final InputStream in;
private final byte[] buffer = new byte[1024];
private int ptr = 0;
private int buflen = 0;
public IO() { this(System.in);}
public IO(InputStream source) { super(System.out); this.in = source;}
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 static boolean isNewLine(int c) { return c == '\n' || c == '\r';}
public boolean hasNext() { while(hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++; return hasNextByte();}
public boolean hasNextLine() { while(hasNextByte() && isNewLine(buffer[ptr])) ptr++; 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 char[] nextCharArray(int len) {
if (!hasNext()) {
throw new NoSuchElementException();
}
char[] s = new char[len];
int i = 0;
int b = readByte();
while(isPrintableChar(b)) {
if (i == len) {
throw new InputMismatchException();
}
s[i++] = (char) b;
b = readByte();
}
return s;
}
public String nextLine() {
if (!hasNextLine()) {
throw new NoSuchElementException();
}
StringBuilder sb = new StringBuilder();
int b = readByte();
while(!isNewLine(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() {
long nl = nextLong();
if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE) {
throw new NumberFormatException();
}
return (int) nl;
}
public char nextChar() {
if (!hasNext()) {
throw new NoSuchElementException();
}
return (char) readByte();
}
public double nextDouble() { return Double.parseDouble(next());}
public int[] nextIntArray(int n) { int[] a = new int[n]; for(int i=0;i<n;i++) a[i] = nextInt(); return a;}
public long[] nextLongArray(int n) { long[] a = new long[n]; for(int i=0;i<n;i++) a[i] = nextLong(); return a;}
public double[] nextDoubleArray(int n) { double[] a = new double[n]; for(int i=0;i<n;i++) a[i] = nextDouble(); return a;}
public void nextIntArrays(int[]... a) { for(int i=0;i<a[0].length;i++) for(int j=0;j<a.length;j++) a[j][i] = nextInt();}
public int[][] nextIntMatrix(int n,int m) { int[][] a = new int[n][]; for(int i=0;i<n;i++) a[i] = nextIntArray(m); return a;}
public char[][] nextCharMap(int n,int m) { char[][] a = new char[n][]; for(int i=0;i<n;i++) a[i] = nextCharArray(m); return a;}
public void close() { super.close(); try {in.close();} catch (IOException e) {}}
}