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Return the number of permutations of 1 to n so that prime numbers are at prime indices (1-indexed.) (Recall that an integer is prime if and only if it is greater than 1, and cannot be written as a product of two positive integers both smaller than it.) Since the answer may be large, return the answer modulo 10^9 + 7.
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Return the number of permutations of 1 to n so that prime numbers are at prime indices (1-indexed.) (Recall that an integer is prime if and only if it is greater than 1, and cannot be written as a product of two positive integers both smaller than it.) Since the answer may be large, return the answer modulo 10^9 + 7.
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n = 5
12
n = 100
682289015
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Solve Prime Arrangements — Return the number of permutations of 1 to n so that prime numbers are at prime i...
Here's the optimal approach using Math:
Time: O(n) | Space: O(n)
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