import sys

sys.setrecursionlimit(10 ** 6)
def II(): return int(sys.stdin.readline())
def SI(): return sys.stdin.readline()[:-1]

def main():
    def cal(s):
        res = [0] * (d + 1)
        i = j = 0
        inpar = 0   # いくつのd{}に囲まれているか
        while j < len(s):
            while s[j] != 43 or inpar > 0:
                j += 1
                if j == len(s): break
                if s[j] == 123: inpar += 1
                if s[j] == 125: inpar -= 1
            # 単項式だった場合
            if i == 0 and j == len(s):
                # 微分のとき
                if s[0] == 100:
                    ret = cal(s[2:-1])
                    for i, a in enumerate(ret[1:], 1):
                        res[i - 1] = a * i
                # 累乗の計算のとき
                else:
                    a = 1
                    x = 0
                    for c in s:
                        if 48<=c<=57: a = c-48
                        if c == 120: x += 1
                    res[x] = a
                return res
            # 項ごとに再計算して次数ごとに係数を合計する
            ret = cal(s[i:j])
            for k in range(d + 1): res[k] += ret[k]
            i = j = j + 1
        return res

    n = II()
    d = II()
    s = SI()
    s=[ord(c) for c in s]
    print(*cal(s))

main()