import std.conv, std.functional, 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(alias pred, T)(in T[] as) { int lo = -1, hi = cast(int)(as.length); for (; lo + 1 < hi; ) { const mid = (lo + hi) >> 1; (unaryFun!pred(as[mid]) ? hi : lo) = mid; } return hi; } int lowerBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a >= val)); } int upperBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a > val)); } int N; int D; string S; BigInt[] add(in BigInt[] a, in BigInt[] b) { BigInt[] c = new BigInt[D + 1]; foreach (i; 0 .. D + 1) { c[i] = a[i] + b[i]; } return c; } BigInt[] mul(in BigInt[] a, in BigInt[] b) { BigInt[] c = new BigInt[D + 1]; foreach (i; 0 .. D + 1) foreach (j; 0 .. D - i + 1) { c[i + j] += a[i] * b[j]; } return c; } BigInt[] dif(in BigInt[] a) { BigInt[] b = new BigInt[D + 1]; foreach (i; 1 .. D + 1) { b[i - 1] = i * a[i]; } return b; } int cur; BigInt[] expr() { BigInt[] ret = term(); for (; S[cur] == '+'; ) { ++cur; const tmp = term(); ret = add(ret, tmp); } debug { writeln("expr ", ret); } return ret; } BigInt[] term() { BigInt[] ret = factor(); for (; S[cur] == '*'; ) { ++cur; const tmp = factor(); ret = mul(ret, tmp); } debug { writeln("term ", ret); } return ret; } BigInt[] factor() { BigInt[] ret; if (S[cur] == 'd') { ++cur; assert(S[cur] == '{'); ++cur; const tmp = expr(); ret = dif(tmp); assert(S[cur] == '}'); ++cur; } else if (S[cur] == 'x') { ++cur; ret = new BigInt[D + 1]; ret[1] = 1; } else if ('0' <= S[cur] && S[cur] <= '9') { ret = new BigInt[D + 1]; ret[0] = S[cur++] - '0'; } else { assert(false); } debug { writeln("factor ", ret); } return ret; } void main() { try { for (; ; ) { N = readInt(); D = readInt(); S = readToken(); S ~= '$'; cur = 0; const ans = expr(); writeln(ans.to!string.replaceAll(regex(`[\[\],]`), "")); } } catch (EOFException e) { } }