#pragma GCC optimize(2)

 #pragma GCC optimize(3)

 #pragma GCC target("avx")

 #pragma GCC optimize("Ofast")

 #pragma GCC optimize("inline")

 #pragma GCC optimize("-fgcse")

 #pragma GCC optimize("-fgcse-lm")

 #pragma GCC optimize("-fipa-sra")

 #pragma GCC optimize("-ftree-pre")

 #pragma GCC optimize("-ftree-vrp")

 #pragma GCC optimize("-fpeephole2")

 #pragma GCC optimize("-ffast-math")

 #pragma GCC optimize("-fsched-spec")

 #pragma GCC optimize("unroll-loops")

 #pragma GCC optimize("-falign-jumps")

 #pragma GCC optimize("-falign-loops")

 #pragma GCC optimize("-falign-labels")

 #pragma GCC optimize("-fdevirtualize")

 #pragma GCC optimize("-fcaller-saves")

 #pragma GCC optimize("-fcrossjumping")

 #pragma GCC optimize("-fthread-jumps")

 #pragma GCC optimize("-funroll-loops")

 #pragma GCC optimize("-fwhole-program")

 #pragma GCC optimize("-freorder-blocks")

 #pragma GCC optimize("-fschedule-insns")

 #pragma GCC optimize("inline-functions")

 #pragma GCC optimize("-ftree-tail-merge")

 #pragma GCC optimize("-fschedule-insns2")

 #pragma GCC optimize("-fstrict-aliasing")

 #pragma GCC optimize("-fstrict-overflow")

 #pragma GCC optimize("-falign-functions")

 #pragma GCC optimize("-fcse-skip-blocks")

 #pragma GCC optimize("-fcse-follow-jumps")

 #pragma GCC optimize("-fsched-interblock")

 #pragma GCC optimize("-fpartial-inlining")

 #pragma GCC optimize("no-stack-protector")

 #pragma GCC optimize("-freorder-functions")

 #pragma GCC optimize("-findirect-inlining")

 #pragma GCC optimize("-frerun-cse-after-loop")

 #pragma GCC optimize("inline-small-functions")

 #pragma GCC optimize("-finline-small-functions")

 #pragma GCC optimize("-ftree-switch-conversion")

 #pragma GCC optimize("-foptimize-sibling-calls")

 #pragma GCC optimize("-fexpensive-optimizations")

 #pragma GCC optimize("-funsafe-loop-optimizations")

 #pragma GCC optimize("inline-functions-called-once")

 #pragma GCC optimize("-fdelete-null-pointer-checks")