import std.algorithm, std.conv, std.range, std.stdio, std.string; import std.bigint; // BigInt const q = 10 ^^ 9 + 7; alias FactorRing!q mint; void main() { auto factTable = buildFactTable(factStr); auto t = readln.chomp.to!size_t; foreach (_; 0..t) { auto rd = readln.split.to!(BigInt[]), c = rd[0], p = rd[1]; if (p >= q) { writeln(0); continue; } auto d = c - p + 1; if (d <= 0) { writeln(0); continue; } auto e = int(d % q), p2 = int(p % q); if (e - p + 1 < 0) { writeln(0); continue; } auto f = e - p2; writeln(fact(e, factTable) * fact(f, factTable).inv); } } auto fact(int n, int[] factTable) { auto r = mint(n < factPer ? 1 : factTable[n / factPer - 1]); auto offset = n / factPer * factPer; foreach (i; 1..(n % factPer + 1)) r = r * (i + offset); return r; } struct FactorRing(int m) { long v; @property int toInt() { return v.to!int; } alias toInt this; this(T)(T _v) { v = mod(_v); } ref FactorRing!m opAssign(int _v) { v = mod(_v); return this; } pure auto mod(long _v) const { return _v > 0 ? _v % m : ((_v % m) + m) % m; } pure auto opBinary(string op: "+")(FactorRing!m rhs) const { return FactorRing!m(v + rhs.v); } pure auto opBinary(string op: "-")(FactorRing!m rhs) const { return FactorRing!m(v - rhs.v); } pure auto opBinary(string op: "*")(FactorRing!m rhs) const { return FactorRing!m(v * rhs.v); } pure auto opBinary(string op)(int rhs) const if (op == "+" || op == "-" || op == "*") { return opBinary!op(FactorRing!m(rhs)); } pure auto inv() const { int x = v.to!int, a, b; exEuclid(x, m, a, b); return FactorRing!m(a); } } pure T exEuclid(T)(T a, T b, ref T x, ref T y) { auto g = a; x = 1; y = 0; if (b != 0) { g = exEuclid(b, a % b, y, x); y -= a / b * x; } return g; } const factPer = 200000; int[] buildFactTable(string str) { import std.base64, std.bitmanip, std.regex; auto buf = Base64.decode(str.replaceAll(regex(r"\n", "g"), "")); auto table = new int[](5000); size_t index = 0; foreach (i; 0..5000) table[i] = buf.peek!int(&index); return table; } const factStr = 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