{"raw_statement":[{"iden":"problem statement","content":"You are given integers $N$ and $K$.\nThe **cumulative sums** of an integer sequence $X=(X_1,X_2,\\dots ,X_N)$ of length $N$ is defined as a sequence $Y=(Y_0,Y_1,\\dots ,Y_N)$ of length $N+1$ as follows:\n\n*   $Y_0=0$\n*   $Y_i=\\displaystyle\\sum_{j=1}^{i}X_j\\ (i=1,2,\\dots ,N)$\n\nAn integer sequence $X=(X_1,X_2,\\dots ,X_N)$ of length $N$ is called a **good sequence** if and only if it satisfies the following condition:\n\n*   Any value in the cumulative sums of $X$ that is less than $K$ appears before any value that is not less than $K$.\n    *   Formally, for the cumulative sums $Y$ of $X$, for any pair of integers $(i,j)$ such that $0 \\le i,j \\le N$, if $(Y_i < K$ and $Y_j \\ge K)$, then $i < j$.\n\nYou are given an integer sequence $A=(A_1,A_2,\\dots ,A_N)$ of length $N$. Determine whether the elements of $A$ can be rearranged to a good sequence. If so, print one such rearrangement."},{"iden":"constraints","content":"*   $1 \\leq N \\leq 2 \\times 10^5$\n*   $-10^9 \\leq K \\leq 10^9$\n*   $-10^9 \\leq A_i \\leq 10^9$\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$A_1$ $A_2$ $\\cdots$ $A_N$"},{"iden":"sample input 1","content":"4 1\n-1 2 -3 4"},{"iden":"sample output 1","content":"Yes\n-3 -1 2 4\n\nIf you rearrange $A$ to $(-3,-1,2,4)$, the cumulative sums $Y$ in question will be $(0,-3,-4,-2,2)$. In this $Y$, any value less than $1$ appears before any value not less than $1$."},{"iden":"sample input 2","content":"4 -1\n1 -2 3 -4"},{"iden":"sample output 2","content":"No"},{"iden":"sample input 3","content":"10 1000000000\n-1000000000 -1000000000 -1000000000 -1000000000 -1000000000 1000000000 1000000000 1000000000 1000000000 1000000000"},{"iden":"sample output 3","content":"Yes\n-1000000000 -1000000000 -1000000000 -1000000000 -1000000000 1000000000 1000000000 1000000000 1000000000 1000000000"}],"translated_statement":null,"sample_group":[],"show_order":["default"],"formal_statement":null,"simple_statement":null,"has_page_source":true}