{"raw_statement":[{"iden":"problem statement","content":"You are given a permutation $P=(P_1,P_2,\\dots,P_N)$ of integers from $1$ to $N$ and an integer $K$.\nConsider the following operation on the permutation $P$.\n\n*   Choose an integer $i$ such that $1 \\leq i \\leq N-K+1$, and sort $P_i,P_{i+1},\\dots,P_{i+K-1}$ in ascending order. That is, let $(x_1,x_2,\\dots,x_K)$ be the result of arranging $P_i,P_{i+1},\\dots,P_{i+K-1}$ in order from smallest to largest, and replace $P_{i+j-1}$ with $x_j$ for each $1 \\leq j \\leq K$.\n\nFind the lexicographically largest permutation that can be obtained by performing the above operation on $P$ exactly once.\nWhat is lexicographical order on sequences?A sequence $S = (S_1,S_2,\\ldots,S_{|S|})$ is **lexicographically smaller** than $T = (T_1,T_2,\\ldots,T_{|T|})$ when 1. or 2. below holds. Here, $|S|$ and $|T|$ denotes the lengths of $S$ and $T$, respectively.\n\n1.  $|S| \\lt |T|$ and $(S_1,S_2,\\ldots,S_{|S|}) = (T_1,T_2,\\ldots,T_{|S|})$.\n2.  There is an integer $1 \\leq i \\leq \\min\\lbrace |S|, |T| \\rbrace$ that satisfy both of the following:\n    *   $(S_1,S_2,\\ldots,S_{i-1}) = (T_1,T_2,\\ldots,T_{i-1})$.\n    *   $S_i$ is smaller than $T_i$ (as a number)."},{"iden":"constraints","content":"*   $1 \\leq K \\leq N \\leq 2 \\times 10^5$\n*   $1 \\leq P_i \\leq N$\n*   $(P_1,P_2,\\dots,P_N)$ is a permutation of integers from $1$ to $N$.\n*   All input values are integers."},{"iden":"input","content":"The input is given from Standard Input in the following format:\n\n$N$ $K$\n$P_1$ $P_2$ $\\dots$ $P_N$"},{"iden":"sample input 1","content":"4 3\n2 1 4 3"},{"iden":"sample output 1","content":"2 1 3 4\n\nIf you perform the operation with $i=1$, we have $(P_1,P_2,P_3)=(2,1,4)$, and sorting it in ascending order yields $(1,2,4)$. Thus, the operation replaces $P_1,P_2,P_3$ with $1,2,4$, respectively, resulting in $P=(1,2,4,3)$. Similarly, if you perform the operation with $i=2$, $P$ becomes $(2,1,3,4)$.\nThe lexicographically greater between them is $(2,1,3,4)$, so the answer is $(2,1,3,4)$."},{"iden":"sample input 2","content":"5 1\n3 1 4 2 5"},{"iden":"sample output 2","content":"3 1 4 2 5"},{"iden":"sample input 3","content":"20 7\n9 4 3 1 11 12 13 15 17 7 2 5 6 20 19 18 8 16 14 10"},{"iden":"sample output 3","content":"9 4 3 1 11 12 13 15 17 7 2 5 6 8 18 19 20 16 14 10"}],"translated_statement":null,"sample_group":[],"show_order":["default"],"formal_statement":null,"simple_statement":null,"has_page_source":true}