結果
問題 | No.125 悪の花弁 |
ユーザー |
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提出日時 | 2015-01-12 00:30:25 |
言語 | Java (openjdk 23) |
結果 |
AC
|
実行時間 | 906 ms / 5,000 ms |
コード長 | 5,023 bytes |
コンパイル時間 | 2,453 ms |
コンパイル使用メモリ | 78,164 KB |
実行使用メモリ | 70,160 KB |
最終ジャッジ日時 | 2024-06-22 04:16:19 |
合計ジャッジ時間 | 8,583 ms |
ジャッジサーバーID (参考情報) |
judge2 / judge5 |
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ファイルパターン | 結果 |
---|---|
other | AC * 6 |
ソースコード
package no125;import java.io.IOException;import java.io.InputStream;import java.io.PrintWriter;import java.util.InputMismatchException;import java.util.NoSuchElementException;public class Main {static long MOD = 1000000007;public static void main(String[] args) {long[] fact = new long[1000001];long[] factinv = new long[1000001];fact[0] = 1;for(int i=1;i<=1000000;i++) {fact[i] = (i * fact[i-1]) % MOD;factinv[i] = modInv(fact[i], MOD);}IO io = new IO();int k = io.nextInt();int[] c = new int[k];int s = 0;for(int i=0;i<k;i++) {c[i] = io.nextInt();s += c[i];}int[] num = new int[s+1];for(int i=1;i<=s;i++) {num[(int) gcd(i,s)]++;}long ans = 0;for(int l=1;l<=s;l++) {if (num[l] == 0) {continue;}boolean flag = true;for(int i=0;i<k;i++) {if (c[i] % (s/l) != 0) {flag = false;break;}}if (flag) {long x = (fact[l] * num[l]) % MOD;for(int i=0;i<k;i++) {x = (x * factinv[c[i]/(s/l)]) % MOD;}ans = (ans + x) % MOD;}}ans = (ans * modInv(s, MOD)) % MOD;System.out.println(ans);}public static long gcd(long a,long b) {while(b!=0) {long r = a%b;a = b;b = r;}return a;}public static long modpow(long x,long n,long mod) {long res = 1;while(n > 0) {if ((n & 1) > 0) {res = (res * x) % mod;}x = (x * x) % mod;n/=2;}return res;}public static long modInv(long x,long modP) {return modpow(x, modP-2, modP);}}class IO {private final InputStream in;final PrintWriter out = new PrintWriter(System.out);private final byte[] buffer = new byte[1024];private int ptr = 0;private int buflen = 0;public IO() { this(System.in);}public IO(InputStream source) { 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';}private void skipUnprintable() { while(hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++;}private void skipNewLine() { while(hasNextByte() && isNewLine(buffer[ptr])) ptr++;}public boolean hasNext() { skipUnprintable(); return hasNextByte();}public boolean hasNextLine() { skipNewLine(); 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) {char[] s = new char[len];if (!hasNext()) {throw new NoSuchElementException();}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[] arrayInt(int n) { int[] a = new int[n]; for(int i=0;i<n;i++) a[i] = nextInt(); return a;}public long[] arrayLong(int n) { long[] a = new long[n]; for(int i=0;i<n;i++) a[i] = nextLong(); return a;}public double[] arrayDouble(int n) { double[] a = new double[n]; for(int i=0;i<n;i++) a[i] = nextDouble(); return a;}public void arrayInt(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[][] matrixInt(int n,int m) { int[][] a = new int[n][m]; for(int i=0;i<n;i++) a[i] = arrayInt(m); return a;}public char[][] charMap(int n,int m) { char[][] a = new char[n][m]; for(int i=0;i<n;i++) a[i] = nextCharArray(m); return a;}}