import std.conv, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.container, std.math, std.numeric, std.range, 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(T)(in T[] as, in bool delegate(T) test) { int low = -1, upp = cast(int)(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) => (a < val)); } int upperBound(T)(in T[] as, in T val) { return as.binarySearch((T a) => (a <= val)); } enum MO = 10L^^9 + 7; enum V = 3^^3; long[][] mul(long[][] a, long[][] b) { auto ret = new long[][](V, V); foreach (u; 0 .. V) foreach (w; 0 .. V) foreach (v; 0 .. V) { (ret[u][v] += a[u][w] * b[w][v]) %= MO; } return ret; } void main() { /* 0: ok 1: empty 2: horizontal half */ int encode(int b0, int b1, int b2) { return b0 * 3^^0 + b1 * 3^^1 + b2 * 3^^2; } auto A = new long[][](V, V); foreach (u; 0 .. V) { const a0 = (u / 3^^0) % 3; const a1 = (u / 3^^1) % 3; const a2 = (u / 3^^2) % 3; if (a0 != 2 && a1 != 2) { switch (a2) { case 0: { ++A[u][encode(0, 0, 1)]; ++A[u][encode(0, 0, 2)]; } break; case 1: { ++A[u][encode(0, 0, 2)]; } break; case 2: { ++A[u][encode(0, 0, 0)]; } break; default: assert(false); } } if (a1 != 2 && a2 != 2) { switch (a0) { case 0: { ++A[u][encode(1, 0, 0)]; ++A[u][encode(2, 0, 0)]; } break; case 1: { ++A[u][encode(2, 0, 0)]; } break; case 2: { ++A[u][encode(0, 0, 0)]; } break; default: assert(false); } } /* 0: horizontal 1: empty */ foreach (c0; 0 .. 2) foreach (c1; 0 .. 2) foreach (c2; 0 .. 2) { if (c0 && c1) continue; if (c1 && c2) continue; if (a0 != 0 && c0) continue; if (a1 != 0 && c1) continue; if (a2 != 0 && c2) continue; const b0 = c0 ? 1 : (a0 == 2) ? 0 : 2; const b1 = c1 ? 1 : (a1 == 2) ? 0 : 2; const b2 = c2 ? 1 : (a2 == 2) ? 0 : 2; ++A[u][encode(b0, b1, b2)]; } } try { for (; ; ) { const N = readLong(); auto a = A; auto b = new long[][](V, V); foreach (u; 0 .. V) { b[u][u] = 1; } for (long n = N; n; n >>= 1) { if (n & 1) { b = mul(b, a); } a = mul(a, a); } long ans; foreach (u; 0 .. V) { const a0 = (u / 3^^0) % 3; const a1 = (u / 3^^1) % 3; const a2 = (u / 3^^2) % 3; if (a0 != 2 && a1 != 2 && a2 != 2) { (ans += b[0][u]) %= MO; } } writeln(ans); } } catch (EOFException e) { } }