// URL: https://yukicoder.me/problems/no/737 import std.algorithm, std.array, std.container, std.math, std.range, std.typecons, std.string; version(unittest) {} else void main() { long N; io.getV(N); auto m = N.bsr+1; auto dp1 = new mint[][][](m+1, 2, m+1), dp2 = new long[][][](m+1, 2, m+1); dp2[0][1][0] = 1; foreach (i; 0..m) foreach (j; 0..2) foreach (k; 0..i+1) { auto md = j == 1 && !N.bitTest(m-i-1) ? 0 : 1; foreach (d; 0..md+1) { dp2[i+1][j == 1 && d == md ? 1 : 0][k+d] += dp2[i][j][k]; dp1[i+1][j == 1 && d == md ? 1 : 0][k+d] += dp1[i][j][k]*2 + mint(dp2[i][j][k])*d; } } auto ans = mint(0); foreach (j; 0..2) foreach (k; 0..m+1) ans += dp1[$-1][j][k] * k; io.put(ans); } pragma(inline) { import core.bitop; pure bool bitTest(T)(T n, size_t i) { return (n & (T(1) << i)) != 0; } pure T bitSet(T)(T n, size_t i) { return n | (T(1) << i); } pure T bitReset(T)(T n, size_t i) { return n & ~(T(1) << i); } pure T bitComp(T)(T n, size_t i) { return n ^ (T(1) << i); } pure int bsf(T)(T n) { return core.bitop.bsf(ulong(n)); } pure int bsr(T)(T n) { return core.bitop.bsr(ulong(n)); } pure int popcnt(T)(T n) { return core.bitop.popcnt(ulong(n)); } } struct BitSubsetRange(bool includeZero = false, T) { private T n, i; this(T n) { this.n = this.i = n; } static if (includeZero) { @property pure T front() { return i&n; } void popFront() { i &= n; i--; } pure bool empty() { return i < 0; } } else { @property pure T front() { return i; } void popFront() { i = (i-1)&n; } pure bool empty() { return i <= 0; } } } auto bitSubset(bool includeZero = false, T)(T n) { return BitSubsetRange!(includeZero, T)(n); } const mod = 10^^9+7; alias mint = ModInt!mod; auto lowerBoundBy(alias conv = "a", alias comp = "a tuple(e, convFun(e))).assumeSorted!((a, b) => compFun(a[1], b[1])); } pure T isqrt(T)(T n) { static if (is(T == int)) auto max = 46341; else static if (is(T == long)) auto max = 3037000500L; return iota(T(0), max).lowerBoundBy!("a^^2", "a<=b")(n).back; } pure T icbrt(T)(T n) { static if (is(T == int)) auto max = 1291; else static if (is(T == long)) auto max = 2097152L; return iota(T(0), max).lowerBoundBy!("a^^3", "a<=b")(n).back; } 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 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; auto getV(T...)(ref T v) { foreach (ref w; v) get(w); } auto getA(T)(size_t n, ref T v) if (hasAssignableElements!T) { v = new T(n); foreach (ref w; v) get(w); } auto getC(T...)(size_t n, ref T v) if (allSatisfy!(hasAssignableElements, 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 (hasAssignableElements!T && hasAssignableElements!(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); } } }