#define NULL ((void *)0)
typedef unsigned long size_t; // Customize by platform.
typedef long intptr_t;
typedef unsigned long uintptr_t;
typedef long scalar_t__; // Either arithmetic or pointer type.
/* By default, we understand bool (as a convenience). */
typedef int bool;
#define false 0
#define true 1

/* Forward declarations */

/* Type definitions */

/* Variables and functions */
scalar_t__ joseph(long long, long long);
int /*<<< orphan*/ printf(char *, scalar_t__);
int /*<<< orphan*/ scanf(char *, long long *);
int main() {
  long long t;
  scanf("%d", &t);
  while (t--) {
    long long n, k = 2;
    scanf("%ld", &n);
    printf("%ld\n", joseph(n, k) + 1);
  }
  return 0;
}


x86 assembly (clang, -O0):
<main>:
push   %rbp
mov    %rsp,%rbp
sub    $0x20,%rsp
movl   $0x0,-0x4(%rbp)
lea    0xeba(%rip),%rdi
lea    -0x10(%rbp),%rsi
call   1050 <scanf@plt>
mov    -0x10(%rbp),%rax
mov    %rax,%rcx
add    $0xffffffffffffffff,%rcx
mov    %rcx,-0x10(%rbp)
cmp    $0x0,%rax
je     11a5 <main+0x75>
movq   $0x2,-0x20(%rbp)
lea    0xe8c(%rip),%rdi
lea    -0x18(%rbp),%rsi
call   1050 <scanf@plt>
mov    -0x18(%rbp),%rdi
mov    -0x20(%rbp),%rsi
call   1030 <joseph@plt>
mov    %rax,%rsi
add    $0x1,%rsi
lea    0xe6c(%rip),%rdi
call   1040 <printf@plt>
jmp    114f <main+0x1f>
xor    %eax,%eax
add    $0x20,%rsp
pop    %rbp
ret

x86 assembly (clang, -O2):
<main>:
push   %r15
push   %r14
push   %rbx
sub    $0x10,%rsp
lea    0xec0(%rip),%rdi
mov    %rsp,%rsi
call   1050 <scanf@plt>
subq   $0x1,(%rsp)
jb     119d <main+0x6d>
lea    0xead(%rip),%r14
lea    0x8(%rsp),%r15
lea    0xea5(%rip),%rbx
cs nopw 0x0(%rax,%rax,1)
nopl   0x0(%rax)
mov    %r14,%rdi
mov    %r15,%rsi
call   1050 <scanf@plt>
mov    0x8(%rsp),%rdi
mov    $0x2,%esi
call   1030 <joseph@plt>
lea    0x1(%rax),%rsi
mov    %rbx,%rdi
call   1040 <printf@plt>
subq   $0x1,(%rsp)
jae    1170 <main+0x40>
xor    %eax,%eax
add    $0x10,%rsp
pop    %rbx
pop    %r14
pop    %r15
ret

LLVM IR (-O0):
@.str = [3 x i8] c"%d\00"
@.str.1 = [4 x i8] c"%ld\00"
@.str.2 = [5 x i8] c"%ld\0A\00"
define i32 @main() {
%1 = alloca i32
%2 = alloca i64
%3 = alloca i64
%4 = alloca i64
store i32 0, i32* %1
%5 = call i32 @scanf(i8* getelementptr inbounds ([3 x i8], [3 x i8]* @.str, i64 0, i64 0), i64* %2)
br label %6
6: ; preds = %10, %0
%7 = load i64, i64* %2
%8 = add nsw i64 %7, -1
store i64 %8, i64* %2
%9 = icmp ne i64 %7, 0
br i1 %9, label %10, label %17
10: ; preds = %6
store i64 2, i64* %4
%11 = call i32 @scanf(i8* getelementptr inbounds ([4 x i8], [4 x i8]* @.str.1, i64 0, i64 0), i64* %3)
%12 = load i64, i64* %3
%13 = load i64, i64* %4
%14 = call i64 @joseph(i64 %12, i64 %13)
%15 = add nsw i64 %14, 1
%16 = call i32 @printf(i8* getelementptr inbounds ([5 x i8], [5 x i8]* @.str.2, i64 0, i64 0), i64 %15)
br label %6
17: ; preds = %6
ret i32 0
}

LLVM IR (-O2):
@.str = [3 x i8] c"%d\00"
@.str.1 = [4 x i8] c"%ld\00"
@.str.2 = [5 x i8] c"%ld\0A\00"
define i32 @main() {
%1 = alloca i64
%2 = alloca i64
%3 = bitcast i64* %1 to i8*
%4 = call i32 @scanf(i8* getelementptr inbounds ([3 x i8], [3 x i8]* @.str, i64 0, i64 0), i64* %1)
%5 = load i64, i64* %1
%6 = add nsw i64 %5, -1
store i64 %6, i64* %1
%7 = icmp eq i64 %5, 0
br i1 %7, label %19, label %8
8: ; preds = %0
%9 = bitcast i64* %2 to i8*
br label %10
10: ; preds = %8, %10
%11 = call i32 @scanf(i8* getelementptr inbounds ([4 x i8], [4 x i8]* @.str.1, i64 0, i64 0), i64* %2)
%12 = load i64, i64* %2
%13 = call i64 @joseph(i64 %12, i64 2)
%14 = add nsw i64 %13, 1
%15 = call i32 @printf(i8* getelementptr inbounds ([5 x i8], [5 x i8]* @.str.2, i64 0, i64 0), i64 %14)
%16 = load i64, i64* %1
%17 = add nsw i64 %16, -1
store i64 %17, i64* %1
%18 = icmp eq i64 %16, 0
br i1 %18, label %19, label %10
19: ; preds = %10, %0
ret i32 0
}