Python Code only You are given integers N, R and K. Consider all permutations of the integers 1 through N with exactly R inversions. Find the K-th lexicographically smallest among these permutations. • The number of inversions in a permutation P1, P2, . , PN is the number of pairs of integers (i, j) such that 1 < i Pj. • A permutation A1, A2,..., AN is lexicographically smaller than a permutation B1, B2,.., BN if there is an index i (1

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Python Code only
You are given integers N, R and K. Consider all permutations of the integers 1 through N with exactly R
inversions. Find the K-th lexicographically smallest among these permutations.
• The number of inversions in a permutation P1, P2, ..., PN is the number of
pairs of integers (i, j) such that 1 < i <j<N and P; > P;.
• A permutation A1, A2, ..., AN is lexicographically smaller than a
permutation B1, B2, ..., BN if there is an index i (1 < i <N) such that
A; < B; and for each valid j < i, A; = Bj.
Input
312
Example Output
213
Transcribed Image Text:Python Code only You are given integers N, R and K. Consider all permutations of the integers 1 through N with exactly R inversions. Find the K-th lexicographically smallest among these permutations. • The number of inversions in a permutation P1, P2, ..., PN is the number of pairs of integers (i, j) such that 1 < i <j<N and P; > P;. • A permutation A1, A2, ..., AN is lexicographically smaller than a permutation B1, B2, ..., BN if there is an index i (1 < i <N) such that A; < B; and for each valid j < i, A; = Bj. Input 312 Example Output 213
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