; LLVM IR from reyadussalahin/problem-solving :: math/combinatorics/codeforces/F1091D (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 [5 x i8], align 1
@.str.1 = external hidden unnamed_addr constant [3 x i8], align 1
@.str.2 = external hidden unnamed_addr constant [6 x i8], align 1

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() #0 {
  %1 = alloca i32, align 4
  %2 = alloca i64, align 8
  %3 = alloca i32, align 4
  %4 = alloca i64, align 8
  %5 = alloca i64, align 8
  %6 = alloca i64, align 8
  %7 = alloca i32, align 4
  %8 = alloca i64, align 8
  store i32 0, ptr %1, align 4
  call void @llvm.lifetime.start.p0(i64 8, ptr %2) #3
  %9 = call i32 (ptr, ...) @__isoc99_scanf(ptr noundef @.str, ptr noundef %2)
  %10 = load i64, ptr %2, align 8, !tbaa !5
  %11 = icmp eq i64 %10, 1
  br i1 %11, label %12, label %14

12:                                               ; preds = %0
  %13 = call i32 (ptr, ...) @printf(ptr noundef @.str.1)
  store i32 0, ptr %1, align 4
  store i32 1, ptr %3, align 4
  br label %53

14:                                               ; preds = %0
  call void @llvm.lifetime.start.p0(i64 8, ptr %4) #3
  store i64 0, ptr %4, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr %5) #3
  store i64 1, ptr %5, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr %6) #3
  store i64 0, ptr %6, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 4, ptr %7) #3
  store i32 1, ptr %7, align 4, !tbaa !9
  br label %15

15:                                               ; preds = %47, %14
  %16 = load i32, ptr %7, align 4, !tbaa !9
  %17 = sext i32 %16 to i64
  %18 = load i64, ptr %2, align 8, !tbaa !5
  %19 = icmp slt i64 %17, %18
  br i1 %19, label %21, label %20

20:                                               ; preds = %15
  store i32 2, ptr %3, align 4
  call void @llvm.lifetime.end.p0(i64 4, ptr %7) #3
  br label %50

21:                                               ; preds = %15
  %22 = load i64, ptr %5, align 8, !tbaa !5
  %23 = load i64, ptr %2, align 8, !tbaa !5
  %24 = load i32, ptr %7, align 4, !tbaa !9
  %25 = sub nsw i32 %24, 1
  %26 = sext i32 %25 to i64
  %27 = sub nsw i64 %23, %26
  %28 = mul nsw i64 %22, %27
  %29 = srem i64 %28, 998244353
  store i64 %29, ptr %5, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr %8) #3
  %30 = load i64, ptr %5, align 8, !tbaa !5
  %31 = load i64, ptr %4, align 8, !tbaa !5
  %32 = sub nsw i64 %30, %31
  %33 = add nsw i64 %32, 998244353
  %34 = srem i64 %33, 998244353
  store i64 %34, ptr %8, align 8, !tbaa !5
  %35 = load i64, ptr %6, align 8, !tbaa !5
  %36 = load i64, ptr %8, align 8, !tbaa !5
  %37 = load i32, ptr %7, align 4, !tbaa !9
  %38 = sext i32 %37 to i64
  %39 = mul nsw i64 %36, %38
  %40 = srem i64 %39, 998244353
  %41 = add nsw i64 %35, %40
  %42 = srem i64 %41, 998244353
  store i64 %42, ptr %6, align 8, !tbaa !5
  %43 = load i64, ptr %4, align 8, !tbaa !5
  %44 = load i64, ptr %8, align 8, !tbaa !5
  %45 = add nsw i64 %43, %44
  %46 = srem i64 %45, 998244353
  store i64 %46, ptr %4, align 8, !tbaa !5
  call void @llvm.lifetime.end.p0(i64 8, ptr %8) #3
  br label %47

47:                                               ; preds = %21
  %48 = load i32, ptr %7, align 4, !tbaa !9
  %49 = add nsw i32 %48, 1
  store i32 %49, ptr %7, align 4, !tbaa !9
  br label %15, !llvm.loop !11

50:                                               ; preds = %20
  %51 = load i64, ptr %6, align 8, !tbaa !5
  %52 = call i32 (ptr, ...) @printf(ptr noundef @.str.2, i64 noundef %51)
  store i32 0, ptr %1, align 4
  store i32 1, ptr %3, align 4
  call void @llvm.lifetime.end.p0(i64 8, ptr %6) #3
  call void @llvm.lifetime.end.p0(i64 8, ptr %5) #3
  call void @llvm.lifetime.end.p0(i64 8, ptr %4) #3
  br label %53

53:                                               ; preds = %50, %12
  call void @llvm.lifetime.end.p0(i64 8, ptr %2) #3
  %54 = load i32, ptr %1, align 4
  ret i32 %54
}

; 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

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

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

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 = !{!"long long", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"int", !7, i64 0}
!11 = distinct !{!11, !12}
!12 = !{!"llvm.loop.mustprogress"}


; 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 [5 x i8], align 1
@.str.1 = external hidden unnamed_addr constant [3 x i8], align 1
@.str.2 = external hidden unnamed_addr constant [6 x i8], align 1

; Function Attrs: mustprogress nofree norecurse nounwind uwtable
define dso_local noundef i32 @main() local_unnamed_addr #0 {
  %1 = alloca i64, align 8
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %1) #3
  %2 = call i32 (ptr, ...) @__isoc99_scanf(ptr noundef nonnull @.str, ptr noundef nonnull %1)
  %3 = load i64, ptr %1, align 8, !tbaa !5
  %4 = icmp eq i64 %3, 1
  br i1 %4, label %6, label %.preheader

.preheader:                                       ; preds = %0
  %5 = icmp sgt i64 %3, 1
  br i1 %5, label %.lr.ph, label %._crit_edge

6:                                                ; preds = %0
  %7 = call i32 (ptr, ...) @printf(ptr noundef nonnull dereferenceable(1) @.str.1)
  br label %21

._crit_edge:                                      ; preds = %.lr.ph, %.preheader
  %.014.lcssa = phi i64 [ 0, %.preheader ], [ %18, %.lr.ph ]
  %8 = call i32 (ptr, ...) @printf(ptr noundef nonnull dereferenceable(1) @.str.2, i64 noundef %.014.lcssa)
  br label %21

.lr.ph:                                           ; preds = %.preheader, %.lr.ph
  %indvars.iv = phi i64 [ %indvars.iv.next, %.lr.ph ], [ 1, %.preheader ]
  %.01420 = phi i64 [ %18, %.lr.ph ], [ 0, %.preheader ]
  %.01519 = phi i64 [ %12, %.lr.ph ], [ 1, %.preheader ]
  %.01618 = phi i64 [ %20, %.lr.ph ], [ 0, %.preheader ]
  %9 = add nsw i64 %indvars.iv, -1
  %10 = sub nsw i64 %3, %9
  %11 = mul nsw i64 %10, %.01519
  %12 = srem i64 %11, 998244353
  %reass.sub = sub nsw i64 %12, %.01618
  %13 = add nsw i64 %reass.sub, 998244353
  %14 = srem i64 %13, 998244353
  %15 = mul nsw i64 %14, %indvars.iv
  %16 = srem i64 %15, 998244353
  %17 = add nsw i64 %16, %.01420
  %18 = srem i64 %17, 998244353
  %19 = add nsw i64 %14, %.01618
  %20 = srem i64 %19, 998244353
  %indvars.iv.next = add nuw nsw i64 %indvars.iv, 1
  %exitcond.not = icmp eq i64 %indvars.iv.next, %3
  br i1 %exitcond.not, label %._crit_edge, label %.lr.ph, !llvm.loop !9

21:                                               ; preds = %._crit_edge, %6
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %1) #3
  ret i32 0
}

; 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: nofree nounwind
declare noundef i32 @printf(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

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 = !{!"long long", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = distinct !{!9, !10}
!10 = !{!"llvm.loop.mustprogress"}


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