import core.thread; import std.conv, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.container, std.math, std.range, std.regex; // Input class EOFException : Throwable { this() { super("EOF"); } } string[] tokens; string readToken() { for (; tokens.empty; ) { tokens = readln.split; if (stdin.eof) throw new EOFException; } auto token = tokens[0]; tokens.popFront; return token; } int readInt() { return to!int(readToken); } long readLong() { return to!long(readToken); } real readReal() { return to!real(readToken); } // chmin/chmax void chmin(T)(ref T t, in T f) { if (t > f) t = f; } void chmax(T)(ref T t, in T f) { if (t < f) t = f; } // Pair struct Pair(S, T) { S x; T y; int opCmp( const Pair p) const { return (x < p.x) ? -1 : (x > p.x) ? +1 : (y < p.y) ? -1 : (y > p.y) ? +1 : 0; } int opCmp(ref const Pair p) const { return (x < p.x) ? -1 : (x > p.x) ? +1 : (y < p.y) ? -1 : (y > p.y) ? +1 : 0; } string toString() const { return "(" ~ to!string(x) ~ ", " ~ to!string(y) ~ ")"; } } auto pair(S, T)(inout(S) x, inout(T) y) { return Pair!(S, T)(x, y); } // Array int binarySearch(T)(in T[] as, in bool delegate(T) test) { int low = -1, upp = as.length; for (; low + 1 < upp; ) { int mid = (low + upp) >> 1; (test(as[mid]) ? low : upp) = mid; } return upp; } int lowerBound(T)(in T[] as, in T val) { return as.binarySearch((T a) { return (a < val); }); } int upperBound(T)(in T[] as, in T val) { return as.binarySearch((T a) { return (a <= val); }); } T[] unique(T)(in T[] as) { T[] bs; foreach (a; as) if (bs.empty || bs[$ - 1] != a) bs ~= a; return bs; } immutable long MO = 1_000_000_007; immutable LIM = 2_000_005; shared long[] inv, fac, facInv; void prepare() { inv = new shared(long[LIM]); inv[1] = 1; foreach (i; 2 .. LIM) { inv[i] = MO - MO / i * inv[MO % i] % MO; } fac = new shared(long[LIM]); facInv = new shared(long[LIM]); fac[0] = 1; facInv[0] = 1; foreach (i; 1 .. LIM) { fac[i] = fac[i - 1] * i % MO; facInv[i] = facInv[i - 1] * inv[i] % MO; } } class Solver : core.thread.Thread { size_t caseId; this(size_t caseId) { this.caseId = caseId; super(&main); } void main() { try { run; stderr.writeln("DONE Case #", caseId); } catch (Throwable e) { stderr.writeln("ERROR Case #", caseId, ": ", e.msg); } finally { stderr.flush; } } string S; long ans; void run() { auto ss = S.match(r"^([CPH])\((\d+),(\d+)\)$").captures; debug{ writeln("ss = ",ss); } int n = ss[2].to!int; int k = ss[3].to!int; switch (ss[1]) { case "C": { if (k <= n) { ans = fac[n] * facInv[k] % MO * facInv[n - k] % MO; } else { ans = 0; } } break; case "P": { if (k <= n) { ans = fac[n] * facInv[n - k] % MO; } else { ans = 0; } } break; case "H": { /* H(n, k) = (n (n + 1) ... (n + k - 1)) / k! */ if (n == 0) { ans = (k == 0) ? 1 : 0; } else { ans = fac[n + k - 1] * facInv[n - 1] % MO * facInv[k] % MO; } } break; default: assert(false); } } void input() { S = readToken; } void output() { writeln(ans); stdout.flush; } } void main(string[] args) { bool parallel = false; foreach (arg; args) if (arg == "-p") parallel = true; prepare; auto solvers = new Solver[readInt]; foreach (caseId, ref solver; solvers) solver = new Solver(caseId + 1); if (parallel) { foreach (solver; solvers) solver.input, solver.start; foreach (solver; solvers) solver.join, solver.output; } else { foreach (caseId, solver; solvers) { solver.input; solver.run; solver.output; stderr.writeln("DONE Case #", caseId + 1); stderr.flush; } } }