; LLVM IR from Aryansh-S/USACO :: algo_ds/DP/atcoder (m-candies)

; 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"

%"class.std::basic_istream" = type { ptr, i64, %"class.std::basic_ios" }
%"class.std::basic_ios" = type { %"class.std::ios_base", ptr, i8, i8, ptr, ptr, ptr, ptr }
%"class.std::ios_base" = type { ptr, i64, i64, i32, i32, i32, ptr, %"struct.std::ios_base::_Words", [8 x %"struct.std::ios_base::_Words"], i32, ptr, %"class.std::locale" }
%"struct.std::ios_base::_Words" = type { ptr, i64 }
%"class.std::locale" = type { ptr }

@n = external dso_local global i32, align 4
@k = external dso_local global i32, align 4
@a = external dso_local global [200005 x i32], align 16
@dp = external dso_local global [100 x [200005 x i32]], align 16
@.str = external hidden unnamed_addr constant [4 x i8], align 1
@.str.2 = external hidden unnamed_addr constant [2 x i8], align 1
@stdin = external global ptr, align 8
@.str.3 = external hidden unnamed_addr constant [5 x i8], align 1
@.str.4 = external hidden unnamed_addr constant [2 x i8], align 1
@stdout = external global ptr, align 8
@_ZSt3cin = external global %"class.std::basic_istream", align 8

; Function Attrs: mustprogress uwtable
declare dso_local noundef i32 @_Z5solveii(i32 noundef, i32 noundef) #0

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

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

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() #2 {
  %1 = alloca i32, align 4
  %2 = alloca i32, align 4
  %3 = alloca i32, align 4
  store i32 0, ptr %1, align 4
  %4 = call noalias ptr @fopen(ptr noundef @.str, ptr noundef @.str.2)
  %5 = icmp ne ptr %4, null
  br i1 %5, label %6, label %11

6:                                                ; preds = %0
  %7 = load ptr, ptr @stdin, align 8, !tbaa !5
  %8 = call ptr @freopen(ptr noundef @.str, ptr noundef @.str.2, ptr noundef %7)
  %9 = load ptr, ptr @stdout, align 8, !tbaa !5
  %10 = call ptr @freopen(ptr noundef @.str.3, ptr noundef @.str.4, ptr noundef %9)
  br label %11

11:                                               ; preds = %6, %0
  %12 = load ptr, ptr @_ZSt3cin, align 8, !tbaa !9
  %13 = getelementptr i8, ptr %12, i64 -24
  %14 = load i64, ptr %13, align 8
  %15 = getelementptr inbounds i8, ptr @_ZSt3cin, i64 %14
  %16 = call noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264) %15, ptr noundef null)
  %17 = call noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext false)
  call void @_Z2reIRiJS0_EEvOT_DpOT0_(ptr noundef nonnull align 4 dereferenceable(4) @n, ptr noundef nonnull align 4 dereferenceable(4) @k)
  %18 = load i32, ptr @n, align 4, !tbaa !11
  %19 = sext i32 %18 to i64
  %20 = getelementptr inbounds i32, ptr @a, i64 %19
  call void @_Z2inIPiEvT_S1_(ptr noundef @a, ptr noundef %20)
  call void @llvm.lifetime.start.p0(i64 4, ptr %2) #5
  store i32 0, ptr %2, align 4, !tbaa !11
  br label %21

21:                                               ; preds = %34, %11
  %22 = load i32, ptr %2, align 4, !tbaa !11
  %23 = sitofp i32 %22 to double
  %24 = fcmp olt double %23, 1.000010e+05
  br i1 %24, label %26, label %25

25:                                               ; preds = %21
  call void @llvm.lifetime.end.p0(i64 4, ptr %2) #5
  br label %37

26:                                               ; preds = %21
  %27 = load i32, ptr %2, align 4, !tbaa !11
  %28 = load i32, ptr @a, align 16, !tbaa !11
  %29 = icmp sle i32 %27, %28
  %30 = zext i1 %29 to i32
  %31 = load i32, ptr %2, align 4, !tbaa !11
  %32 = sext i32 %31 to i64
  %33 = getelementptr inbounds [200005 x i32], ptr @dp, i64 0, i64 %32
  store i32 %30, ptr %33, align 4, !tbaa !11
  br label %34

34:                                               ; preds = %26
  %35 = load i32, ptr %2, align 4, !tbaa !11
  %36 = add nsw i32 %35, 1
  store i32 %36, ptr %2, align 4, !tbaa !11
  br label %21, !llvm.loop !13

37:                                               ; preds = %25
  call void @llvm.lifetime.start.p0(i64 4, ptr %3) #5
  %38 = load i32, ptr @n, align 4, !tbaa !11
  %39 = sub nsw i32 %38, 1
  %40 = load i32, ptr @k, align 4, !tbaa !11
  %41 = call noundef i32 @_Z5solveii(i32 noundef %39, i32 noundef %40)
  store i32 %41, ptr %3, align 4, !tbaa !11
  call void @_Z2prIiJEEvOT_DpOT0_(ptr noundef nonnull align 4 dereferenceable(4) %3)
  call void @llvm.lifetime.end.p0(i64 4, ptr %3) #5
  %42 = load i32, ptr %1, align 4
  ret i32 %42
}

declare noalias ptr @fopen(ptr noundef, ptr noundef) #3

declare ptr @freopen(ptr noundef, ptr noundef, ptr noundef) #3

; Function Attrs: mustprogress nounwind uwtable
declare noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264), ptr noundef) #4 align 2

declare noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext) #3

; Function Attrs: mustprogress uwtable
declare dso_local void @_Z2reIRiJS0_EEvOT_DpOT0_(ptr noundef nonnull align 4 dereferenceable(4), ptr noundef nonnull align 4 dereferenceable(4)) #0

; Function Attrs: mustprogress uwtable
declare dso_local void @_Z2inIPiEvT_S1_(ptr noundef, ptr noundef) #0

; Function Attrs: mustprogress uwtable
declare dso_local void @_Z2prIiJEEvOT_DpOT0_(ptr noundef nonnull align 4 dereferenceable(4)) #0

attributes #0 = { mustprogress 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 = { 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 #3 = { "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 #4 = { mustprogress 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 #5 = { 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 = !{!"any pointer", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"vtable pointer", !8, i64 0}
!11 = !{!12, !12, i64 0}
!12 = !{!"int", !7, i64 0}
!13 = distinct !{!13, !14}
!14 = !{!"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"

%"class.std::basic_istream" = type { ptr, i64, %"class.std::basic_ios" }
%"class.std::basic_ios" = type { %"class.std::ios_base", ptr, i8, i8, ptr, ptr, ptr, ptr }
%"class.std::ios_base" = type { ptr, i64, i64, i32, i32, i32, ptr, %"struct.std::ios_base::_Words", [8 x %"struct.std::ios_base::_Words"], i32, ptr, %"class.std::locale" }
%"struct.std::ios_base::_Words" = type { ptr, i64 }
%"class.std::locale" = type { ptr }

@n = external dso_local global i32, align 4
@k = external dso_local global i32, align 4
@a = external dso_local global [200005 x i32], align 16
@dp = external dso_local local_unnamed_addr global [100 x [200005 x i32]], align 16
@.str = external hidden unnamed_addr constant [4 x i8], align 1
@.str.2 = external hidden unnamed_addr constant [2 x i8], align 1
@stdin = external local_unnamed_addr global ptr, align 8
@.str.3 = external hidden unnamed_addr constant [5 x i8], align 1
@.str.4 = external hidden unnamed_addr constant [2 x i8], align 1
@stdout = external local_unnamed_addr global ptr, align 8
@_ZSt3cin = external global %"class.std::basic_istream", align 8

; Function Attrs: mustprogress uwtable
declare dso_local noundef i32 @_Z5solveii(i32 noundef, i32 noundef) local_unnamed_addr #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: mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #1

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() local_unnamed_addr #2 {
  %1 = alloca i32, align 4
  %2 = tail call noalias ptr @fopen(ptr noundef nonnull @.str, ptr noundef nonnull @.str.2)
  %.not = icmp eq ptr %2, null
  br i1 %.not, label %vector.ph, label %3

3:                                                ; preds = %0
  %4 = load ptr, ptr @stdin, align 8, !tbaa !5
  %5 = tail call ptr @freopen(ptr noundef nonnull @.str, ptr noundef nonnull @.str.2, ptr noundef %4)
  %6 = load ptr, ptr @stdout, align 8, !tbaa !5
  %7 = tail call ptr @freopen(ptr noundef nonnull @.str.3, ptr noundef nonnull @.str.4, ptr noundef %6)
  br label %vector.ph

vector.ph:                                        ; preds = %3, %0
  %8 = load ptr, ptr @_ZSt3cin, align 8, !tbaa !9
  %9 = getelementptr i8, ptr %8, i64 -24
  %10 = load i64, ptr %9, align 8
  %11 = getelementptr inbounds i8, ptr @_ZSt3cin, i64 %10
  %12 = tail call noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264) %11, ptr noundef null)
  %13 = tail call noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext false)
  tail call void @_Z2reIRiJS0_EEvOT_DpOT0_(ptr noundef nonnull align 4 dereferenceable(4) @n, ptr noundef nonnull align 4 dereferenceable(4) @k)
  %14 = load i32, ptr @n, align 4, !tbaa !11
  %15 = sext i32 %14 to i64
  %16 = getelementptr inbounds i32, ptr @a, i64 %15
  tail call void @_Z2inIPiEvT_S1_(ptr noundef nonnull @a, ptr noundef nonnull %16)
  %17 = load i32, ptr @a, align 16, !tbaa !11
  %18 = sext i32 %17 to i64
  %broadcast.splatinsert = insertelement <4 x i64> poison, i64 %18, i64 0
  %broadcast.splat = shufflevector <4 x i64> %broadcast.splatinsert, <4 x i64> poison, <4 x i32> zeroinitializer
  br label %vector.body

vector.body:                                      ; preds = %vector.body, %vector.ph
  %index = phi i64 [ 0, %vector.ph ], [ %index.next, %vector.body ]
  %vec.ind = phi <4 x i64> [ <i64 0, i64 1, i64 2, i64 3>, %vector.ph ], [ %vec.ind.next, %vector.body ]
  %step.add = add <4 x i64> %vec.ind, <i64 4, i64 4, i64 4, i64 4>
  %19 = icmp sle <4 x i64> %vec.ind, %broadcast.splat
  %20 = icmp sle <4 x i64> %step.add, %broadcast.splat
  %21 = zext <4 x i1> %19 to <4 x i32>
  %22 = zext <4 x i1> %20 to <4 x i32>
  %23 = getelementptr inbounds [200005 x i32], ptr @dp, i64 0, i64 %index
  %24 = getelementptr inbounds i8, ptr %23, i64 16
  store <4 x i32> %21, ptr %23, align 16, !tbaa !11
  store <4 x i32> %22, ptr %24, align 16, !tbaa !11
  %index.next = add nuw i64 %index, 8
  %vec.ind.next = add <4 x i64> %vec.ind, <i64 8, i64 8, i64 8, i64 8>
  %25 = icmp eq i64 %index.next, 100000
  br i1 %25, label %scalar.ph, label %vector.body, !llvm.loop !13

scalar.ph:                                        ; preds = %vector.body
  %26 = icmp sgt i32 %17, 99999
  %27 = zext i1 %26 to i32
  store i32 %27, ptr getelementptr inbounds (i8, ptr @dp, i64 400000), align 16, !tbaa !11
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %1) #6
  %28 = load i32, ptr @n, align 4, !tbaa !11
  %29 = add nsw i32 %28, -1
  %30 = load i32, ptr @k, align 4, !tbaa !11
  %31 = tail call noundef i32 @_Z5solveii(i32 noundef %29, i32 noundef %30)
  store i32 %31, ptr %1, align 4, !tbaa !11
  call void @_Z2prIiJEEvOT_DpOT0_(ptr noundef nonnull align 4 dereferenceable(4) %1)
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %1) #6
  ret i32 0
}

; Function Attrs: nofree nounwind
declare noalias noundef ptr @fopen(ptr nocapture noundef readonly, ptr nocapture noundef readonly) local_unnamed_addr #3

declare ptr @freopen(ptr noundef, ptr noundef, ptr noundef) local_unnamed_addr #4

; Function Attrs: mustprogress nounwind uwtable
declare noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264), ptr noundef) local_unnamed_addr #5 align 2

declare noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext) local_unnamed_addr #4

; Function Attrs: mustprogress uwtable
declare dso_local void @_Z2reIRiJS0_EEvOT_DpOT0_(ptr noundef nonnull align 4 dereferenceable(4), ptr noundef nonnull align 4 dereferenceable(4)) local_unnamed_addr #0

; Function Attrs: mustprogress uwtable
declare dso_local void @_Z2inIPiEvT_S1_(ptr noundef, ptr noundef) local_unnamed_addr #0

; Function Attrs: mustprogress uwtable
declare dso_local void @_Z2prIiJEEvOT_DpOT0_(ptr noundef nonnull align 4 dereferenceable(4)) local_unnamed_addr #0

attributes #0 = { mustprogress 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 = { 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 #3 = { 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 #4 = { "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 #5 = { mustprogress 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 #6 = { 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 = !{!"any pointer", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"vtable pointer", !8, i64 0}
!11 = !{!12, !12, i64 0}
!12 = !{!"int", !7, i64 0}
!13 = distinct !{!13, !14, !15, !16}
!14 = !{!"llvm.loop.mustprogress"}
!15 = !{!"llvm.loop.isvectorized", i32 1}
!16 = !{!"llvm.loop.unroll.runtime.disable"}


; Effective O3 passes: GlobalOptPass,IndVarSimplifyPass,InferAlignmentPass,InferFunctionAttrsPass,InstCombinePass,LICMPass,LoopLoadEliminationPass,LoopRotatePass,LoopUnrollPass,LoopVectorizePass,SROAPass,SimplifyCFGPass,TailCallElimPass