package no474; import java.io.IOException; import java.io.InputStream; import java.io.PrintWriter; import java.util.InputMismatchException; import java.util.NoSuchElementException; public class Main { static IO io = new IO(); static int MAX = 1000000; static int MAXBIT = 21; static int MAX2POW = 1 << MAXBIT; static int[] fact; static int[] ifact; public static void main(String[] args) { int[][] ff = makeFF(2,MAXBIT); fact = ff[0]; ifact = ff[1]; int t = io.nextInt(); for(int i=0;i 0 ? 0 : 1; } // 😇コピペしました😇 (2度目) // uwicoder - nCr mod mの求め方 // https://www37.atwiki.jp/uwicoder/pages/2118.html#id_6779f709 public static long C(long n, long r, int p, int q, int[] fact, int[] ifact) { if(n < 0 || r < 0 || r > n)return 0; int P = 1; for(int i = 0;i < q;i++)P*=p; long z = n - r; int e0 = 0; for(long u = n/p;u > 0;u /= p)e0 += u; for(long u = r/p;u > 0;u /= p)e0 -= u; for(long u = z/p;u > 0;u /= p)e0 -= u; int em = 0; for(long u = n/P;u > 0;u /= p)em += u; for(long u = r/P;u > 0;u /= p)em -= u; for(long u = z/P;u > 0;u /= p)em -= u; long ret = 1; while(n > 0){ ret = ret * fact[(int)(n%P)] % P * ifact[(int)(r%P)] % P * ifact[(int)(z%P)] % P; n /= p; r /= p; z /= p; } for(int i = 0;i < e0;i++)ret = ret * p % P; if(!(p == 2 && q >= 3) && (em&1)==1)ret = (P-ret) % P; return ret; } public static int[][] makeFF(int p, int q) { int P = 1; for(int i = 0;i < q;i++)P*=p; int[] fact = new int[P+1]; int[] ifact = new int[P+1]; fact[0] = 1; for(int i = 1;i <= P;i++){ if(i % p == 0){ fact[i] = fact[i-1]; }else{ fact[i] = fact[i-1] * i % P; } } for(int i = 0;i <= P;i++){ long ret = 1; long mul = fact[i]; for(long n = P/p*(p-1)-1;n > 0;n >>>= 1){ if((n&1)==1){ ret = (ret * mul) % P; } mul = (mul * mul) % P; } ifact[i] = (int)ret; } return new int[][]{fact, ifact}; } } 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