{"raw_statement":[{"iden":"problem statement","content":"You are given a positive integer $N$.\nDetermine if there are two or more (not necessarily distinct) positive integers $A_1,A_2,\\dots,A_n\\ (2 \\leq n)$ that satisfy all of the following conditions:\n\n*   $A_1+A_2+\\dots+A_n=N$.\n*   The least common multiple of $A_1,A_2,\\dots,A_n$ is $N$.\n\nYou have $T$ test cases to solve."},{"iden":"constraints","content":"*   $1 \\leq T \\leq 100$\n*   $2 \\leq N \\leq 10^{9}$\n*   All input values are integers."},{"iden":"input","content":"The input is given from Standard Input in the following format:\n\n$T$\n$\\mathrm{case}_1$\n$\\vdots$\n$\\mathrm{case}_T$\n\nEach case is given in the following format:\n\n$N$"},{"iden":"sample input 1","content":"4\n6\n4\n998244353\n367291763"},{"iden":"sample output 1","content":"Yes\nNo\nNo\nYes\n\nFor the first test case, three positive integers $(A_1,A_2,A_3)=(1,2,3)$, for example, have $A_1+A_2+A_3=1+2+3=6$, and the least common multiple of $A_1,A_2,A_3$ is $6$, satisfying the conditions.\nFor the second test case, no two or more positive integers satisfy the conditions."}],"translated_statement":null,"sample_group":[],"show_order":["default"],"formal_statement":null,"simple_statement":null,"has_page_source":true}