def nthSuperUglyNumber(self, n, primes):
"""
:type n: int
:type primes: List[int]
:rtype: int
"""
uglies, idx, heap, ugly_set = [0] * n, [0] * len(primes), [], set([1])
uglies[0] = 1
for k, p in enumerate(primes):
heapq.heappush(heap, (p, k))
ugly_set.add(p)
for i in xrange(1, n):
uglies[i], k = heapq.heappop(heap)
while (primes[k] * uglies[idx[k]]) in ugly_set:
idx[k] += 1
heapq.heappush(heap, (primes[k] * uglies[idx[k]], k))
ugly_set.add(primes[k] * uglies[idx[k]])
return uglies[-1]
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