import std.conv, std.functional, std.range, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.complex, std.container, std.math, std.numeric, std.regex, std.typecons; import core.bitop; class EOFException : Throwable { this() { super("EOF"); } } string[] tokens; string readToken() { for (; tokens.empty; ) { if (stdin.eof) { throw new EOFException; } tokens = readln.split; } auto token = tokens.front; tokens.popFront; return token; } int readInt() { return readToken.to!int; } long readLong() { return readToken.to!long; } real readReal() { return readToken.to!real; } bool chmin(T)(ref T t, in T f) { if (t > f) { t = f; return true; } else { return false; } } bool chmax(T)(ref T t, in T f) { if (t < f) { t = f; return true; } else { return false; } } int binarySearch(alias pred, T)(in T[] as) { int lo = -1, hi = cast(int)(as.length); for (; lo + 1 < hi; ) { const mid = (lo + hi) >> 1; (unaryFun!pred(as[mid]) ? hi : lo) = mid; } return hi; } int lowerBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a >= val)); } int upperBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a > val)); } enum MO = 10L^^6 + 3; enum LIM = cast(int)(MO); long[] inv, fac, invFac; void prepare() { inv = new long[LIM]; fac = new long[LIM]; invFac = new long[LIM]; inv[1] = 1; foreach (i; 2 .. LIM) { inv[i] = MO - ((MO / i) * inv[cast(size_t)(MO % i)]) % MO; } fac[0] = invFac[0] = 1; foreach (i; 1 .. LIM) { fac[i] = (fac[i - 1] * i) % MO; invFac[i] = (invFac[i - 1] * inv[i]) % MO; } } long binom(long n, long k) { if (0 <= k && k <= n) { long ret = 1; for (; k > 0; n /= MO, k /= MO) { const nn = n % MO, kk = k % MO; if (kk > nn) { return 0; } ret = (ret * fac[cast(size_t)(nn)]) % MO; ret = (ret * invFac[cast(size_t)(kk)]) % MO; ret = (ret * invFac[cast(size_t)(nn - kk)]) % MO; } return ret; } else { return 0; } } enum M = 26; enum LIM_P = 60, LIM_Q = 40; long[] S; string T; void main() { prepare(); try { for (; ; ) { S = new long[M]; foreach (i; 0 .. M) { S[i] = readLong(); } T = readToken(); auto lss = new long[][M]; foreach (t; T.group) { lss[t[0] - 'a'] ~= t[1]; } long ans = 1; foreach (i; 0 .. M) { const ls = lss[i]; const len = cast(int)(ls.length); if (len > 0) { const s = S[i] - ls.sum; if (s < 0) { ans = 0; break; } debug { writeln(cast(char)('a' + i), ": s = ", s, ", ls = ", ls); } /* s = #{x | x > 0, (l + x) / x >= r} */ long lo = 0, hi = 1L << LIM_P; for (; lo + 1 < hi; ) { const mid = (lo + hi) / 2; long cnt; foreach (l; ls) { // l / x >= mid / 2^LIM_Q cnt += (l << LIM_Q) / mid; chmin(cnt, s + 1); } (cnt <= s) ? (hi = mid) : (lo = mid); } auto xs = ls.map!(l => (l << LIM_Q) / hi); long lot = s - xs.sum; assert(lot >= 0); int jm = 0; foreach (j; 0 .. len) { // ls[jm] / xs[jm] < ls[j] / xs[j] // xs[jm] / ls[jm] > xs[j] / ls[j] const qm = xs[jm] / ls[jm], rm = xs[jm] % ls[jm]; const q = xs[j] / ls[j], r = xs[j] % ls[j]; if (qm > q || qm == q && rm * ls[j] > r * ls[jm]) { jm = j; } } auto add = new bool[len]; foreach (j; 0 .. len) { const qm = xs[jm] / ls[jm], rm = xs[jm] % ls[jm]; const q = xs[j] / ls[j], r = xs[j] % ls[j]; if (qm == q && rm * ls[j] == r * ls[jm]) { if (lot > 0) { --lot; add[j] = true; } } } debug { writeln(" xs = ", xs); writeln(" add = ", add); } foreach (j; 0 .. len) { ans *= binom(ls[j] + xs[j] + (add[j] ? 1 : 0), ls[j]); ans %= MO; } } } writeln(ans); } } catch (EOFException e) { } }