Buggy python submission (verdict: Time Limit Exceeded):
from collections import Counter


class Mint:
    MOD = 1000000007  # Must be a prime
    CACHE_FACTORIALS = [1, 1]

    def __init__(self, v):
        if self.__isally(v):
            self.v = v.v % self.MOD
        else:
            self.v = v % self.MOD

    @property
    def inv(self):
        return Mint(self.__minv(self.v))

    @classmethod
    def factorial(cls, v):
        for i in range(len(cls.CACHE_FACTORIALS), int(v) + 1):
            cls.CACHE_FACTORIALS.append(cls.CACHE_FACTORIALS[-1] * i % cls.MOD)
        return Mint(cls.CACHE_FACTORIALS[int(v)])

    @classmethod
    def perm(cls, n, r):
        if n < r or r < 0:
            return 0
        return cls.factorial(n) // cls.factorial(n - r)

    @classmethod
    def comb(cls, n, r):
        if n < r or r < 0:
            return 0
        return cls.perm(n, r) // cls.factorial(r)

    @classmethod
    def __isally(cls, v) -> bool:
        return isinstance(v, cls)

    @classmethod
    def __minv(cls, v) -> int:
        return pow(v, cls.MOD - 2, cls.MOD)

    @classmethod
    def __mpow(cls, v, w) -> int:
        return pow(v, w, cls.MOD)

    def __str__(self):
        return str(self.v)
    __repr__ = __str__

    def __int__(self):
        return self.v

    def __eq__(self, w):
        return self.v == w.v if self.__isally(w) else self.v == w

    def __add__(self, w):
        return Mint(self.v + w.v) if self.__isally(w) else Mint(self.v + w)
    __radd__ = __add__

    def __sub__(self, w):
        return Mint(self.v - w.v) if self.__isally(w) else Mint(self.v - w)

    def __rsub__(self, u):
        return Mint(u.v - self.v) if self.__isally(u) else Mint(u - self.v)

    def __mul__(self, w):
        return Mint(self.v * w.v) if self.__isally(w) else Mint(self.v * w)
    __rmul__ = __mul__

    def __floordiv__(self, w):
        return Mint(self.v * self.__minv(w.v)) if self.__isally(w) else \
            Mint(self.v * self.__minv(w))

    def __rfloordiv__(self, u):
        return Mint(u.v * self.__minv(self.v)) if self.__isally(u) else \
            Mint(u * self.__minv(self.v))

    def __pow__(self, w):
        return Mint(self.__mpow(self.v, w.v)) if self.__isally(w) else \
            Mint(self.__mpow(self.v, w))

    def __rpow__(self, u):
        return Mint(self.__mpow(u.v, self.v)) if self.__isally(u) else \
            Mint(self.__mpow(u, self.v))


N = int(input())
A = [int(s) for s in input().split()]
v = Counter(A).most_common(1)[0][0]
i = A.index(v)
j = A.index(v, i+1)
m = j - i - 1
for k in range(1, N + 2):
    ans = Mint.comb(N + 1, k) - Mint.comb(N - m - 1, k - 1)
    print(ans)


Fixed submission:
from collections import Counter


class Mint:
    MOD = 1000000007  # Must be a prime
    CACHE_FACTORIALS = [1, 1]

    def __init__(self, v):
        if self.__isally(v):
            self.v = v.v % self.MOD
        else:
            self.v = v % self.MOD

    @property
    def inv(self):
        return Mint(self.__minv(self.v))

    @classmethod
    def factorial(cls, v):
        for i in range(len(cls.CACHE_FACTORIALS), int(v) + 1):
            cls.CACHE_FACTORIALS.append(cls.CACHE_FACTORIALS[-1] * i % cls.MOD)
        return Mint(cls.CACHE_FACTORIALS[int(v)])

    @classmethod
    def perm(cls, n, r):
        if n < r or r < 0:
            return 0
        return cls.factorial(n) // cls.factorial(n - r)

    @classmethod
    def comb(cls, n, r):
        if n < r or r < 0:
            return 0
        return cls.perm(n, r) // cls.factorial(r)

    @classmethod
    def __isally(cls, v) -> bool:
        return isinstance(v, cls)

    @classmethod
    def __minv(cls, v) -> int:
        return pow(v, cls.MOD - 2, cls.MOD)

    @classmethod
    def __mpow(cls, v, w) -> int:
        return pow(v, w, cls.MOD)

    def __str__(self):
        return str(self.v)
    __repr__ = __str__

    def __int__(self):
        return self.v

    def __eq__(self, w):
        return self.v == w.v if self.__isally(w) else self.v == w

    def __add__(self, w):
        return Mint(self.v + w.v) if self.__isally(w) else Mint(self.v + w)
    __radd__ = __add__

    def __sub__(self, w):
        return Mint(self.v - w.v) if self.__isally(w) else Mint(self.v - w)

    def __rsub__(self, u):
        return Mint(u.v - self.v) if self.__isally(u) else Mint(u - self.v)

    def __mul__(self, w):
        return Mint(self.v * w.v) if self.__isally(w) else Mint(self.v * w)
    __rmul__ = __mul__

    def __floordiv__(self, w):
        return Mint(self.v * self.__minv(w.v)) if self.__isally(w) else \
            Mint(self.v * self.__minv(w))

    def __rfloordiv__(self, u):
        return Mint(u.v * self.__minv(self.v)) if self.__isally(u) else \
            Mint(u * self.__minv(self.v))

    def __pow__(self, w):
        return Mint(self.__mpow(self.v, w.v)) if self.__isally(w) else \
            Mint(self.__mpow(self.v, w))

    def __rpow__(self, u):
        return Mint(self.__mpow(u.v, self.v)) if self.__isally(u) else \
            Mint(self.__mpow(u, self.v))


N = int(input())
A = [int(s) for s in input().split()]
v = Counter(A).most_common(1)[0][0]
i = A.index(v)
j = A.index(v, i+1)
l = i
m = j - i - 1
n = N - j
for k in range(1, N + 2):
    ans = Mint.comb(l + m + n, k) + Mint.comb(l + m + n, k - 1) * \
        2 - Mint.comb(l + n, k - 1) + Mint.comb(l + m + n, k - 2)
    print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import Counter


class Mint:
    MOD = 1000000007  # Must be a prime
    CACHE_FACTORIALS = [1, 1]

    def __init__(self, v):
        if self.__isally(v):
            self.v = v.v % self.MOD
        else:
            self.v = v % self.MOD

    @property
    def inv(self):
        return Mint(self.__minv(self.v))

    @classmethod
    def factorial(cls, v):
        for i in range(len(cls.CACHE_FACTORIALS), int(v) + 1):
            cls.CACHE_FACTORIALS.append(cls.CACHE_FACTORIALS[-1] * i % cls.MOD)
        return Mint(cls.CACHE_FACTORIALS[int(v)])

    @classmethod
    def perm(cls, n, r):
        if n < r or r < 0:
            return 0
        return cls.factorial(n) // cls.factorial(n - r)

    @classmethod
    def comb(cls, n, r):
        if n < r or r < 0:
            return 0
        return cls.perm(n, r) // cls.factorial(r)

    @classmethod
    def __isally(cls, v) -> bool:
        return isinstance(v, cls)

    @classmethod
    def __minv(cls, v) -> int:
        return pow(v, cls.MOD - 2, cls.MOD)

    @classmethod
    def __mpow(cls, v, w) -> int:
        return pow(v, w, cls.MOD)

    def __str__(self):
        return str(self.v)
    __repr__ = __str__

    def __int__(self):
        return self.v

    def __eq__(self, w):
        return self.v == w.v if self.__isally(w) else self.v == w

    def __add__(self, w):
        return Mint(self.v + w.v) if self.__isally(w) else Mint(self.v + w)
    __radd__ = __add__

    def __sub__(self, w):
        return Mint(self.v - w.v) if self.__isally(w) else Mint(self.v - w)

    def __rsub__(self, u):
        return Mint(u.v - self.v) if self.__isally(u) else Mint(u - self.v)

    def __mul__(self, w):
        return Mint(self.v * w.v) if self.__isally(w) else Mint(self.v * w)
    __rmul__ = __mul__

    def __floordiv__(self, w):
        return Mint(self.v * self.__minv(w.v)) if self.__isally(w) else \
            Mint(self.v * self.__minv(w))

    def __rfloordiv__(self, u):
        return Mint(u.v * self.__minv(self.v)) if self.__isally(u) else \
            Mint(u * self.__minv(self.v))

    def __pow__(self, w):
        return Mint(self.__mpow(self.v, w.v)) if self.__isally(w) else \
            Mint(self.__mpow(self.v, w))

    def __rpow__(self, u):
        return Mint(self.__mpow(u.v, self.v)) if self.__isally(u) else \
            Mint(self.__mpow(u, self.v))


N = int(input())
A = [int(s) for s in input().split()]
v = Counter(A).most_common(1)[0][0]
i = A.index(v)
j = A.index(v, i+1)
l = i
m = j - i - 1
n = N - j
for k in range(1, N + 2):
    ans = Mint.comb(l + m + n, k) + Mint.comb(l + m + n, k - 1) * \
        2 - Mint.comb(l + n, k - 1) + Mint.comb(l + m + n, k - 2)
    print(ans)


Fixed submission:
from collections import Counter


class Mint:
    MOD = 1000000007  # Must be a prime
    CACHE_FACTORIALS = [1, 1]

    def __init__(self, v):
        if self.__isally(v):
            self.v = v.v % self.MOD
        else:
            self.v = v % self.MOD

    @property
    def inv(self):
        return Mint(self.__minv(self.v))

    @classmethod
    def factorial(cls, v):
        for i in range(len(cls.CACHE_FACTORIALS), int(v) + 1):
            cls.CACHE_FACTORIALS.append(cls.CACHE_FACTORIALS[-1] * i % cls.MOD)
        return Mint(cls.CACHE_FACTORIALS[int(v)])

    @classmethod
    def perm(cls, n, r):
        if n < r or r < 0:
            return 0
        return cls.factorial(n) // cls.factorial(n - r)

    @classmethod
    def comb(cls, n, r):
        if n < r or r < 0:
            return 0
        return cls.perm(n, r) // cls.factorial(r)

    @classmethod
    def __isally(cls, v) -> bool:
        return isinstance(v, cls)

    @classmethod
    def __minv(cls, v) -> int:
        return pow(v, cls.MOD - 2, cls.MOD)

    @classmethod
    def __mpow(cls, v, w) -> int:
        return pow(v, w, cls.MOD)

    def __str__(self):
        return str(self.v)
    __repr__ = __str__

    def __int__(self):
        return self.v

    def __eq__(self, w):
        return self.v == w.v if self.__isally(w) else self.v == w

    def __add__(self, w):
        return Mint(self.v + w.v) if self.__isally(w) else Mint(self.v + w)
    __radd__ = __add__

    def __sub__(self, w):
        return Mint(self.v - w.v) if self.__isally(w) else Mint(self.v - w)

    def __rsub__(self, u):
        return Mint(u.v - self.v) if self.__isally(u) else Mint(u - self.v)

    def __mul__(self, w):
        return Mint(self.v * w.v) if self.__isally(w) else Mint(self.v * w)
    __rmul__ = __mul__

    def __floordiv__(self, w):
        return Mint(self.v * self.__minv(w.v)) if self.__isally(w) else \
            Mint(self.v * self.__minv(w))

    def __rfloordiv__(self, u):
        return Mint(u.v * self.__minv(self.v)) if self.__isally(u) else \
            Mint(u * self.__minv(self.v))

    def __pow__(self, w):
        return Mint(self.__mpow(self.v, w.v)) if self.__isally(w) else \
            Mint(self.__mpow(self.v, w))

    def __rpow__(self, u):
        return Mint(self.__mpow(u.v, self.v)) if self.__isally(u) else \
            Mint(self.__mpow(u, self.v))


N = int(input())
A = [int(s) for s in input().split()]
v = Counter(A).most_common(1)[0][0]
i = A.index(v)
j = A.index(v, i+1)
l = i
m = j - i - 1
n = N - j
for k in range(1, N + 2):
    ans = Mint.comb(l + m + n, k) + Mint.comb(l + m + n, k - 1) * \
        2 - Mint.comb(l + n, k - 1) + Mint.comb(l + m + n, k - 2)
    print(ans)