// URL: https://yukicoder.me/problems/no/171 import std.algorithm, std.array, std.container, std.math, std.range, std.typecons, std.string; version(unittest) {} else void main() { string S; io.getV(S); auto c = new int[](26); foreach (Si; S) ++c[Si-'A']; auto cn = 1000, primes = Prime(cn.isqrt); auto f = new int[](cn+1), n = cast(int)S.length; foreach (i; 2..n+1) foreach (e; primes.div(i)) f[e.prime] += e.exp; foreach (ci; c) foreach (i; 2..ci+1) foreach (e; primes.div(i)) f[e.prime] -= e.exp; auto r = mint(1); foreach (i, fi; f) r *= mint(i)^^fi; io.put(r-1); } pure T isqrt(T)(T n) { static if (is(T == int)) auto max = 46341; else static if (is(T == long)) auto max = 3037000500L; auto bs = iota(T(0), max).map!(x => tuple(x, x^^2)).assumeSorted!"a[1]<=b[1]"; return bs.lowerBound(tuple(0, n)).back[0]; } pure T icbrt(T)(T n) { static if (is(T == int)) auto max = 1291; else static if (is(T == long)) auto max = 2097152L; auto bs = iota(T(0), max).map!(x => tuple(x, x^^3)).assumeSorted!"a[1]<=b[1]"; return bs.lowerBound(tuple(0, n)).back[0]; } pure T powr(alias pred = "a*b", T, U)(T a, U n, T one) { import std.functional; alias predFun = binaryFun!pred; if (n == 0) return one; auto r = one; for (; n > 0; n >>= 1) { if (n&1) r = predFun(r, a); a = predFun(a, a); } return r; } pure T powr(alias pred = "a*b", T, U)(T a, U n) { return powr!(pred, T, U)(a, n, T(1)); } pure T extGcd(T)(T a, T b, out T x, out T y) { auto g = a; x = 1; y = 0; if (b) { g = extGcd(b, a%b, y, x); y -= a/b*x; } return g; } struct Prime { import std.bitmanip; struct Factor(T) { T prime; int exp; } const int n; @property array() { return primes; } alias array this; this(int n) { this.n = n; auto sieve = BitArray(); sieve.length((n+1)/2); sieve = ~sieve; foreach (p; 1..(n.isqrt-1)/2+1) if (sieve[p]) for (auto q = p*3+1; q < (n+1)/2; q += p*2+1) sieve[q] = false; primes = sieve.bitsSet.map!(p => cast(int)p*2+1).array; primes[0] = 2; } pure Factor!T[] div(T)(T x) in { assert(x > 0 && x.isqrt <= n); } do { Factor!T[] factors; auto t = isqrt(x); foreach (p; primes) { if (p > t) break; auto c = 0; for (; x%p == 0; x /= p) ++c; if (c > 0) factors ~= Factor!T(p, c); if (x == 1) break; } if (x > 1) factors ~= [Factor!T(x, 1)]; return factors; } pure T[] divisors(T)(T x) in { assert(x > 0 && x.isqrt <= n); } do { auto factors = div(x); auto r = divisorsProc(factors, 0, 1); r.sort(); return r; } private { int[] primes; pure T[] divisorsProc(T)(Factor!T[] factors, int i, T c) { if (i == factors.length) return [c]; T[] r; foreach (j; 0..factors[i].exp+1) r ~= divisorsProc(factors, i+1, c*factors[i].prime^^j); return r; } } } const mod = 573; alias mint = ModInt!mod; struct ModInt(int m, bool pos = false) { version(BigEndian) union { long l; struct { int i2; int i; } } else union { long l; int i; } alias M = ModInt!(m, pos), Op = string; @property static init() { return M(0); } @property int value() { return i; } @property void value(int v) { i = nm(v); } alias value this; this(T)(T v = 0) { i = nm(v); } ref M opAssign(T)(T v) { i = nm(v); return this; } static if (!pos) pure M opUnary(Op op: "-")() { return M(-i); } static if (m < int.max / 2) { pure M opBinary(Op op)(int r) if(op=="+"||!pos&&op=="-") { return M(mixin("i"~op~"r")); } ref M opOpAssign(Op op)(int r) if(op=="+"||!pos&&op=="-") { i=nm(mixin("i"~op~"r")); return this; } } else { pure M opBinary(Op op)(int r) if(op=="+"||!pos&&op=="-") { return M(mixin("l"~op~"r")); } ref M opOpAssign(Op op)(int r) if(op=="+"||!pos&&op=="-") { i=nm(mixin("l"~op~"r")); return this; } } pure M opBinary(Op op: "*")(int r) { return M(l*r); } ref M opOpAssign(Op op: "*")(int r) { i=nm(l*r); return this; } pure M opBinary(Op op)(M r) if(op=="+"||!pos&&op=="-"||op=="*") { return opBinary!op(r.i); } ref M opOpAssign(Op op)(M r) if(op=="+"||!pos&&op=="-"||op=="*") { return opOpAssign!op(r.i); } pure M opBinary(Op op: "^^", T)(T n) { return this.powr(n); } static if (!pos) { pure M opBinary(Op op: "/")(M r) { return M(l*r.inv.i); } ref M opOpAssign(Op op: "/")(M r) { i=nm(l*r.inv.i); return this; } pure M opBinary(Op op: "/")(int r) { return opBinary!op(M(r)); } ref M opOpAssign(Op op: "/")(int r) { return opOpAssign!op(M(r)); } pure M inv() { int x = i, a, b; extGcd(x, m, a, b); return M(a); } } private { pure int nm(int v) { static if (pos) return v%m; else return (v%m+m)%m; } pure int nm(long v) { static if (pos) return cast(int)(v%m); else return cast(int)((v%m+m)%m); } } } auto io = IO!()(); import std.stdio; struct IO(string floatFormat = "%.10f", string delimiter = " ", alias IN = stdin, alias OUT = stdout) { import std.conv, std.format, std.meta, std.traits; alias assignable = hasAssignableElements; auto getV(T...)(ref T v) { foreach (ref w; v) get(w); } auto getA(T)(size_t n, ref T v) if (assignable!T) { v = new T(n); foreach (ref w; v) get(w); } auto getC(T...)(size_t n, ref T v) if (allSatisfy!(assignable, T)) { foreach (ref w; v) w = new typeof(w)(n); foreach (i; 0..n) foreach (ref w; v) get(w[i]); } auto getM(T)(size_t r, size_t c, ref T v) if (assignable!T && assignable!(ElementType!T)) { v = new T(r); foreach (ref w; v) getA(c, w); } template getS(E...) { auto getS(T)(size_t n, ref T v) { v = new T(n); foreach (ref w; v) foreach (e; E) mixin("get(w."~e~");"); } } auto put(bool flush = false, T...)(T v) { foreach (i, w; v) { putA(w); if (i < v.length-1) OUT.write(delimiter); } OUT.writeln; static if (flush) OUT.flush(); } auto putB(S, T)(bool c, S t, T f) { if (c) put(t); else put(f); } auto putRaw(T...)(T v) { OUT.write(v); OUT.writeln; } private { dchar[] buf; auto sp = (new dchar[](0)).splitter; void nextLine() { IN.readln(buf); sp = buf.splitter; } auto get(T)(ref T v) { if (sp.empty) nextLine(); v = sp.front.to!T; sp.popFront(); } auto putR(T)(T v) { auto w = v; while (!w.empty) { putA(w.front); w.popFront(); if (!w.empty) OUT.write(delimiter); } } auto putA(T)(T v) { static if (isInputRange!T && !isSomeString!T) putR(v); else if (isFloatingPoint!T) OUT.write(format(floatFormat, v)); else OUT.write(v); } } }