; LLVM IR from reyadussalahin/problem-solving :: math/probability/loj/F1104 (Solution)

; Unoptimized IR (clang -disable-llvm-passes):
target datalayout = "e-m:e-p270:32:32-p271:32:32-p272:64:64-i64:64-i128:128-f80:128-n8:16:32:64-S128"
target triple = "x86_64-unknown-linux-gnu"

@.str = external hidden unnamed_addr constant [3 x i8], align 1
@.str.1 = external hidden unnamed_addr constant [13 x i8], align 1

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() #0 {
  %1 = alloca i32, align 4
  %2 = alloca i32, align 4
  %3 = alloca i32, align 4
  %4 = alloca i32, align 4
  %5 = alloca i64, align 8
  %6 = alloca double, align 8
  %7 = alloca i32, align 4
  %8 = alloca i32, align 4
  store i32 0, ptr %1, align 4
  call void @llvm.lifetime.start.p0(i64 4, ptr %2) #3
  %9 = call i32 (ptr, ...) @__isoc99_scanf(ptr noundef @.str, ptr noundef %2)
  call void @llvm.lifetime.start.p0(i64 4, ptr %3) #3
  store i32 0, ptr %3, align 4, !tbaa !5
  br label %10

10:                                               ; preds = %41, %0
  %11 = load i32, ptr %3, align 4, !tbaa !5
  %12 = load i32, ptr %2, align 4, !tbaa !5
  %13 = icmp slt i32 %11, %12
  br i1 %13, label %15, label %14

14:                                               ; preds = %10
  store i32 2, ptr %4, align 4
  call void @llvm.lifetime.end.p0(i64 4, ptr %3) #3
  br label %44

15:                                               ; preds = %10
  call void @llvm.lifetime.start.p0(i64 8, ptr %5) #3
  %16 = call i32 (ptr, ...) @__isoc99_scanf(ptr noundef @.str, ptr noundef %5)
  call void @llvm.lifetime.start.p0(i64 8, ptr %6) #3
  store double 1.000000e+00, ptr %6, align 8, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 4, ptr %7) #3
  store i32 0, ptr %7, align 4, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 4, ptr %8) #3
  store i32 1, ptr %8, align 4, !tbaa !5
  br label %17

17:                                               ; preds = %33, %15
  %18 = load double, ptr %6, align 8, !tbaa !9
  %19 = fcmp ogt double %18, 5.000000e-01
  br i1 %19, label %21, label %20

20:                                               ; preds = %17
  store i32 5, ptr %4, align 4
  call void @llvm.lifetime.end.p0(i64 4, ptr %8) #3
  br label %36

21:                                               ; preds = %17
  %22 = load double, ptr %6, align 8, !tbaa !9
  %23 = load i64, ptr %5, align 8, !tbaa !11
  %24 = load i32, ptr %8, align 4, !tbaa !5
  %25 = sext i32 %24 to i64
  %26 = sub nsw i64 %23, %25
  %27 = sitofp i64 %26 to double
  %28 = fmul double %22, %27
  %29 = load i64, ptr %5, align 8, !tbaa !11
  %30 = sitofp i64 %29 to double
  %31 = fdiv double %28, %30
  store double %31, ptr %6, align 8, !tbaa !9
  %32 = load i32, ptr %8, align 4, !tbaa !5
  store i32 %32, ptr %7, align 4, !tbaa !5
  br label %33

33:                                               ; preds = %21
  %34 = load i32, ptr %8, align 4, !tbaa !5
  %35 = add nsw i32 %34, 1
  store i32 %35, ptr %8, align 4, !tbaa !5
  br label %17, !llvm.loop !13

36:                                               ; preds = %20
  %37 = load i32, ptr %3, align 4, !tbaa !5
  %38 = add nsw i32 %37, 1
  %39 = load i32, ptr %7, align 4, !tbaa !5
  %40 = call i32 (ptr, ...) @printf(ptr noundef @.str.1, i32 noundef %38, i32 noundef %39)
  call void @llvm.lifetime.end.p0(i64 4, ptr %7) #3
  call void @llvm.lifetime.end.p0(i64 8, ptr %6) #3
  call void @llvm.lifetime.end.p0(i64 8, ptr %5) #3
  br label %41

41:                                               ; preds = %36
  %42 = load i32, ptr %3, align 4, !tbaa !5
  %43 = add nsw i32 %42, 1
  store i32 %43, ptr %3, align 4, !tbaa !5
  br label %10, !llvm.loop !15

44:                                               ; preds = %14
  store i32 0, ptr %1, align 4
  store i32 1, ptr %4, align 4
  call void @llvm.lifetime.end.p0(i64 4, ptr %2) #3
  %45 = load i32, ptr %1, align 4
  ret i32 %45
}

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #1

declare i32 @__isoc99_scanf(ptr noundef, ...) #2

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #1

declare i32 @printf(ptr noundef, ...) #2

attributes #0 = { mustprogress norecurse uwtable "min-legal-vector-width"="0" "no-trapping-math"="true" "stack-protector-buffer-size"="8" "target-cpu"="x86-64" "target-features"="+cmov,+cx8,+fxsr,+mmx,+sse,+sse2,+x87" "tune-cpu"="generic" }
attributes #1 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #2 = { "no-trapping-math"="true" "stack-protector-buffer-size"="8" "target-cpu"="x86-64" "target-features"="+cmov,+cx8,+fxsr,+mmx,+sse,+sse2,+x87" "tune-cpu"="generic" }
attributes #3 = { nounwind }

!llvm.module.flags = !{!0, !1, !2, !3}
!llvm.ident = !{!4}

!0 = !{i32 1, !"wchar_size", i32 4}
!1 = !{i32 8, !"PIC Level", i32 2}
!2 = !{i32 7, !"PIE Level", i32 2}
!3 = !{i32 7, !"uwtable", i32 2}
!4 = !{!"clang version 19.1.0 (git@github.com:llvm/llvm-project.git a4bf6cd7cfb1a1421ba92bca9d017b49936c55e4)"}
!5 = !{!6, !6, i64 0}
!6 = !{!"int", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"double", !7, i64 0}
!11 = !{!12, !12, i64 0}
!12 = !{!"long long", !7, i64 0}
!13 = distinct !{!13, !14}
!14 = !{!"llvm.loop.mustprogress"}
!15 = distinct !{!15, !14}


; Optimized IR (opt -passes='default<O3>'):
target datalayout = "e-m:e-p270:32:32-p271:32:32-p272:64:64-i64:64-i128:128-f80:128-n8:16:32:64-S128"
target triple = "x86_64-unknown-linux-gnu"

@.str = external hidden unnamed_addr constant [3 x i8], align 1
@.str.1 = external hidden unnamed_addr constant [13 x i8], align 1

; Function Attrs: mustprogress nofree norecurse nounwind uwtable
define dso_local noundef i32 @main() local_unnamed_addr #0 {
  %1 = alloca i32, align 4
  %2 = alloca i64, align 8
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %1) #3
  %3 = call i32 (ptr, ...) @__isoc99_scanf(ptr noundef nonnull @.str, ptr noundef nonnull %1)
  %4 = load i32, ptr %1, align 4, !tbaa !5
  %5 = icmp sgt i32 %4, 0
  br i1 %5, label %.lr.ph, label %._crit_edge

._crit_edge:                                      ; preds = %9, %0
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %1) #3
  ret i32 0

.lr.ph:                                           ; preds = %0, %9
  %.01114 = phi i32 [ %11, %9 ], [ 0, %0 ]
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %2) #3
  %6 = call i32 (ptr, ...) @__isoc99_scanf(ptr noundef nonnull @.str, ptr noundef nonnull %2)
  %7 = load i64, ptr %2, align 8, !tbaa !9
  %8 = sitofp i64 %7 to double
  br label %15

9:                                                ; preds = %15
  %10 = trunc nuw nsw i64 %indvars.iv to i32
  %11 = add nuw nsw i32 %.01114, 1
  %12 = call i32 (ptr, ...) @printf(ptr noundef nonnull dereferenceable(1) @.str.1, i32 noundef %11, i32 noundef %10)
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %2) #3
  %13 = load i32, ptr %1, align 4, !tbaa !5
  %14 = icmp slt i32 %11, %13
  br i1 %14, label %.lr.ph, label %._crit_edge, !llvm.loop !11

15:                                               ; preds = %.lr.ph, %15
  %indvars.iv = phi i64 [ 1, %.lr.ph ], [ %indvars.iv.next, %15 ]
  %.01012 = phi double [ 1.000000e+00, %.lr.ph ], [ %19, %15 ]
  %16 = sub nsw i64 %7, %indvars.iv
  %17 = sitofp i64 %16 to double
  %18 = fmul double %.01012, %17
  %19 = fdiv double %18, %8
  %indvars.iv.next = add nuw nsw i64 %indvars.iv, 1
  %20 = fcmp ogt double %19, 5.000000e-01
  br i1 %20, label %15, label %9, !llvm.loop !13
}

; Function Attrs: mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #1

; Function Attrs: nofree nounwind
declare noundef i32 @__isoc99_scanf(ptr nocapture noundef readonly, ...) local_unnamed_addr #2

; Function Attrs: mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #1

; Function Attrs: nofree nounwind
declare noundef i32 @printf(ptr nocapture noundef readonly, ...) local_unnamed_addr #2

attributes #0 = { mustprogress nofree norecurse nounwind uwtable "min-legal-vector-width"="0" "no-trapping-math"="true" "stack-protector-buffer-size"="8" "target-cpu"="x86-64" "target-features"="+cmov,+cx8,+fxsr,+mmx,+sse,+sse2,+x87" "tune-cpu"="generic" }
attributes #1 = { mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #2 = { nofree nounwind "no-trapping-math"="true" "stack-protector-buffer-size"="8" "target-cpu"="x86-64" "target-features"="+cmov,+cx8,+fxsr,+mmx,+sse,+sse2,+x87" "tune-cpu"="generic" }
attributes #3 = { nounwind }

!llvm.module.flags = !{!0, !1, !2, !3}
!llvm.ident = !{!4}

!0 = !{i32 1, !"wchar_size", i32 4}
!1 = !{i32 8, !"PIC Level", i32 2}
!2 = !{i32 7, !"PIE Level", i32 2}
!3 = !{i32 7, !"uwtable", i32 2}
!4 = !{!"clang version 19.1.0 (git@github.com:llvm/llvm-project.git a4bf6cd7cfb1a1421ba92bca9d017b49936c55e4)"}
!5 = !{!6, !6, i64 0}
!6 = !{!"int", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"long long", !7, i64 0}
!11 = distinct !{!11, !12}
!12 = !{!"llvm.loop.mustprogress"}
!13 = distinct !{!13, !12}


; Effective O3 passes: EarlyCSEPass,GVNPass,GlobalOptPass,IndVarSimplifyPass,InferFunctionAttrsPass,InstCombinePass,InstSimplifyPass,JumpThreadingPass,LCSSAPass,LICMPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,PostOrderFunctionAttrsPass,SROAPass,SimplifyCFGPass