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 = 12; 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; } long[][] A; void add(int u, int v) { ++A[u][v]; } void add(int u, int[] vs) { foreach (v; vs) { add(u, v); } } void main() { /* 0 1 2 3 4 5 6 7 8 9 0 1 - - - - = = = - = = - = = = - = = = - = = - = = = - - - 0 1 2 3 4 5 6 7 8 9 - - - - - - - - - = - - - = = - - - = - */ A = new long[][](V, V); foreach (u; 0 .. 4) foreach (v; 0 .. 4) { add(u, v); } add(0, [4, 5, 6, 7]); add(1, [6, 7]); add(2, [8, 9]); add(3, [8, 9, 10, 11]); add(4, [2, 3]); add(5, [2, 3]); add(6, [3]); add(7, [3]); add(8, [0]); add(9, [0]); add(10, [0, 1]); add(11, [0, 1]); foreach (u; 4 .. 8) foreach (v; 4 .. 8) { if (abs(u - v) <= 1) { add(u, v); } } foreach (u; 8 .. 12) foreach (v; 8 .. 12) { if (abs(u - v) <= 1) { add(u, v); } } 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 + 1; n; n >>= 1) { if (n & 1) { b = mul(b, a); } a = mul(a, a); } writeln(b[0][3]); } } catch (EOFException e) { } }