package contest; import java.io.ByteArrayInputStream; import java.io.IOException; import java.io.InputStream; import java.io.PrintWriter; import java.util.Arrays; import java.util.InputMismatchException; public class Q370Y { InputStream is; PrintWriter out; String INPUT = ""; void solve() { int n = ni(); long ret = 1; final long xmod = 1000000006; for(int i = 0;i < n;i++){ long c = nl(); char[] ds = ns().toCharArray(); long v = fib(c+2, mod); if(v % xmod == 0){ ret = 0; break; } long q = 0; for(char d : ds){ q = q * 10 + (d-'0'); // if(q >= 1E17)q = modhx(q);// %= xmod; if(q >= 1E17)q %= xmod; } q %= xmod; ret = modh(ret * pow(v, q, mod)); } out.println(ret); } public static long fib(long n, long MOD) { long a = 1, b = 1, d = 0; long va = 1, vb = 0; // (1 1)(1) // (1 0)(0) for(n--;n>0;n>>>=1){ if((n&1)==1){ long nva = (a*va+b*vb)%MOD; long nvb = (b*va+d*vb)%MOD; va = nva; vb = nvb; } long na = (a*a+b*b)%MOD; long nb = (b*(a+d))%MOD; long nd = (d*d+b*b)%MOD; a = na; b = nb; d = nd; } return va; } public static long fibx(long n, long MOD) { long a = 1, b = 1, d = 0; long va = 1, vb = 0; // (1 1)(1) // (1 0)(0) for(n--;n>0;n>>>=1){ if((n&1)==1){ long nva = modh(a*va+b*vb); long nvb = modh(b*va+d*vb); va = nva; vb = nvb; } long na = modh(a*a+b*b); long nb = modh(b*(a+d)); long nd = modh(d*d+b*b); a = na; b = nb; d = nd; } return va; } static final long M=1152921496; static final long M2=1152921497; static final int h=60; private static final long mask = (1L<<31)-1; public static long modh(long a) { long r = a-((M*(a&mask)>>>31)+M*(a>>>31)>>>h-31)*mod; return r < mod ? r : r-mod; } public static long modhx(long a) { long r = a-((M2*(a&mask)>>>31)+M2*(a>>>31)>>>h-31)*mod; return r < mod ? r : r-mod; } public static int[][] pow(int[][] A, long e) { int[][] MUL = A; int n = A.length; int[][] C = new int[n][n]; for(int i = 0;i < n;i++)C[i][i] = 1; for(;e > 0;e>>>=1) { if((e&1)==1)C = mul(C, MUL); MUL = p2(MUL); } return C; } public static int[][] mul(int[][] A, int[][] B) { int m = A.length; int n = A[0].length; int o = B[0].length; int[][] C = new int[m][o]; for(int i = 0;i < m;i++){ long[] sum = new long[n]; for(int k = 0;k < n;k++){ for(int j = 0;j < n;j++){ sum[j] += (long)A[i][k] * B[k][j]; if(sum[j] >= BIG)sum[j] -= BIG; } } for(int j = 0;j < n;j++){ C[i][j] = (int)(sum[j] % mod); } } return C; } 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 = modh(ret*ret); if (n << 63 - x < 0) ret = modh(ret*a); } return ret; } ///////// begin public static final int mod = 1000000007; public static final long m2 = (long) mod * mod; public static final long BIG = 8L * m2; // A^e*v public static int[] pow(int[][] A, int[] v, long e) { for (int i = 0; i < v.length; i++) { if (v[i] >= mod) v[i] %= mod; } int[][] MUL = A; for (; e > 0; e >>>= 1) { if ((e & 1) == 1) v = mul(MUL, v); MUL = p2(MUL); } return v; } // int matrix*int vector public static int[] mul(int[][] A, int[] v) { int m = A.length; int n = v.length; int[] w = new int[m]; for (int i = 0; i < m; i++) { long sum = 0; for (int k = 0; k < n; k++) { sum += (long) A[i][k] * v[k]; if (sum >= BIG) sum -= BIG; } w[i] = (int) (sum % mod); } return w; } // int matrix^2 (be careful about negative value) public static int[][] p2(int[][] A) { int n = A.length; int[][] C = new int[n][n]; for (int i = 0; i < n; i++) { long[] sum = new long[n]; for (int k = 0; k < n; k++) { for (int j = 0; j < n; j++) { sum[j] += (long) A[i][k] * A[k][j]; if (sum[j] >= BIG) sum[j] -= BIG; } } for (int j = 0; j < n; j++) { C[i][j] = (int) (sum[j] % mod); } } return C; } //////////// end void run() throws Exception { // int n = 30000, m = 99999; // Random gen = new Random(); // StringBuilder sb = new StringBuilder(); // sb.append(n + " "); // for (int i = 0; i < n; i++) { // sb.append(Math.abs(gen.nextLong() % 1000000000000000000L) + " "); // for(int j = 0;j < 200;j++){ // sb.append(gen.nextInt(10)); // } // sb.append("\n"); // } // INPUT = sb.toString(); 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 Q370Y().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)); } }