; LLVM IR from abeaumont/competitive-programming :: codechef/feb18 (broclk)

; 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 }
%"class.std::basic_ostream" = type { ptr, %"class.std::basic_ios" }

@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef i32 @_Z6modinvnn(i64 noundef, i64 noundef, i64 noundef, i64 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 uwtable
declare dso_local noundef { i64, i64 } @_Z9chevyshevnnn(i64 noundef, i64 noundef, i64 noundef, i64 noundef, i64 noundef, i64 noundef) #2

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() #3 {
  %1 = alloca i32, align 4
  %2 = alloca i32, align 4
  %3 = alloca i128, align 16
  %4 = alloca i64, align 8
  %5 = alloca i64, align 8
  %6 = alloca i64, align 8
  %7 = alloca i128, align 16
  %8 = alloca i128, align 16
  %9 = alloca i128, align 16
  %10 = alloca i128, align 16
  %11 = alloca i128, align 16
  %12 = alloca i128, align 16
  %13 = alloca i128, align 16
  %14 = alloca i128, align 16
  store i32 0, ptr %1, align 4
  call void @llvm.lifetime.start.p0(i64 4, ptr %2) #6
  %15 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 4 dereferenceable(4) %2)
  call void @llvm.lifetime.start.p0(i64 16, ptr %3) #6
  store i128 1000000007, ptr %3, align 16, !tbaa !5
  br label %16

16:                                               ; preds = %69, %0
  %17 = load i32, ptr %2, align 4, !tbaa !9
  %18 = add nsw i32 %17, -1
  store i32 %18, ptr %2, align 4, !tbaa !9
  %19 = icmp ne i32 %17, 0
  br i1 %19, label %20, label %74

20:                                               ; preds = %16
  call void @llvm.lifetime.start.p0(i64 8, ptr %4) #6
  call void @llvm.lifetime.start.p0(i64 8, ptr %5) #6
  call void @llvm.lifetime.start.p0(i64 8, ptr %6) #6
  %21 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) %4)
  %22 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) %21, ptr noundef nonnull align 8 dereferenceable(8) %5)
  %23 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) %22, ptr noundef nonnull align 8 dereferenceable(8) %6)
  call void @llvm.lifetime.start.p0(i64 16, ptr %7) #6
  %24 = load i64, ptr %5, align 8, !tbaa !11
  %25 = load i64, ptr %4, align 8, !tbaa !11
  %26 = sext i64 %25 to i128
  store i128 %26, ptr %8, align 16, !tbaa !5
  %27 = getelementptr inbounds { i64, i64 }, ptr %8, i32 0, i32 0
  %28 = load i64, ptr %27, align 16
  %29 = getelementptr inbounds { i64, i64 }, ptr %8, i32 0, i32 1
  %30 = load i64, ptr %29, align 8
  store i128 1000000007, ptr %9, align 16, !tbaa !5
  %31 = getelementptr inbounds { i64, i64 }, ptr %9, i32 0, i32 0
  %32 = load i64, ptr %31, align 16
  %33 = getelementptr inbounds { i64, i64 }, ptr %9, i32 0, i32 1
  %34 = load i64, ptr %33, align 8
  %35 = call noundef i32 @_Z6modinvnn(i64 noundef %28, i64 noundef %30, i64 noundef %32, i64 noundef %34)
  %36 = sext i32 %35 to i64
  %37 = mul nsw i64 %24, %36
  %38 = sext i64 %37 to i128
  store i128 %38, ptr %7, align 16, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 16, ptr %10) #6
  %39 = load i64, ptr %4, align 8, !tbaa !11
  %40 = sext i64 %39 to i128
  %41 = load i64, ptr %6, align 8, !tbaa !11
  %42 = sext i64 %41 to i128
  %43 = load i128, ptr %7, align 16, !tbaa !5
  store i128 %42, ptr %11, align 16, !tbaa !5
  %44 = getelementptr inbounds { i64, i64 }, ptr %11, i32 0, i32 0
  %45 = load i64, ptr %44, align 16
  %46 = getelementptr inbounds { i64, i64 }, ptr %11, i32 0, i32 1
  %47 = load i64, ptr %46, align 8
  store i128 %43, ptr %12, align 16, !tbaa !5
  %48 = getelementptr inbounds { i64, i64 }, ptr %12, i32 0, i32 0
  %49 = load i64, ptr %48, align 16
  %50 = getelementptr inbounds { i64, i64 }, ptr %12, i32 0, i32 1
  %51 = load i64, ptr %50, align 8
  store i128 1000000007, ptr %13, align 16, !tbaa !5
  %52 = getelementptr inbounds { i64, i64 }, ptr %13, i32 0, i32 0
  %53 = load i64, ptr %52, align 16
  %54 = getelementptr inbounds { i64, i64 }, ptr %13, i32 0, i32 1
  %55 = load i64, ptr %54, align 8
  %56 = call noundef { i64, i64 } @_Z9chevyshevnnn(i64 noundef %45, i64 noundef %47, i64 noundef %49, i64 noundef %51, i64 noundef %53, i64 noundef %55)
  %57 = getelementptr inbounds { i64, i64 }, ptr %14, i32 0, i32 0
  %58 = extractvalue { i64, i64 } %56, 0
  store i64 %58, ptr %57, align 16
  %59 = getelementptr inbounds { i64, i64 }, ptr %14, i32 0, i32 1
  %60 = extractvalue { i64, i64 } %56, 1
  store i64 %60, ptr %59, align 8
  %61 = load i128, ptr %14, align 16, !tbaa !5
  %62 = mul nsw i128 %40, %61
  %63 = srem i128 %62, 1000000007
  store i128 %63, ptr %10, align 16, !tbaa !5
  %64 = load i128, ptr %10, align 16, !tbaa !5
  %65 = icmp slt i128 %64, 0
  br i1 %65, label %66, label %69

66:                                               ; preds = %20
  %67 = load i128, ptr %10, align 16, !tbaa !5
  %68 = add nsw i128 %67, 1000000007
  store i128 %68, ptr %10, align 16, !tbaa !5
  br label %69

69:                                               ; preds = %66, %20
  %70 = load i128, ptr %10, align 16, !tbaa !5
  %71 = trunc i128 %70 to i64
  %72 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %71)
  %73 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) %72, ptr noundef @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  call void @llvm.lifetime.end.p0(i64 16, ptr %10) #6
  call void @llvm.lifetime.end.p0(i64 16, ptr %7) #6
  call void @llvm.lifetime.end.p0(i64 8, ptr %6) #6
  call void @llvm.lifetime.end.p0(i64 8, ptr %5) #6
  call void @llvm.lifetime.end.p0(i64 8, ptr %4) #6
  br label %16, !llvm.loop !13

74:                                               ; preds = %16
  call void @llvm.lifetime.end.p0(i64 16, ptr %3) #6
  call void @llvm.lifetime.end.p0(i64 4, ptr %2) #6
  %75 = load i32, ptr %1, align 4
  ret i32 %75
}

declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 4 dereferenceable(4)) #4

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 8 dereferenceable(8)) #2 align 2

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8), i64 noundef) #2 align 2

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef) #2 align 2

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_(ptr noundef nonnull align 8 dereferenceable(8)) #5

attributes #0 = { 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 #1 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #2 = { 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 #3 = { 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 #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 = { inlinehint 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 #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 = !{!"__int128", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"int", !7, i64 0}
!11 = !{!12, !12, i64 0}
!12 = !{!"long long", !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 }
%"class.std::basic_ostream" = type { ptr, %"class.std::basic_ios" }

@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef i32 @_Z6modinvnn(i64 noundef, i64 noundef, i64 noundef, i64 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 uwtable
declare dso_local noundef { i64, i64 } @_Z9chevyshevnnn(i64 noundef, i64 noundef, i64 noundef, i64 noundef, i64 noundef, i64 noundef) local_unnamed_addr #2

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() local_unnamed_addr #3 {
  %1 = alloca i32, align 4
  %2 = alloca i64, align 8
  %3 = alloca i64, align 8
  %4 = alloca i64, align 8
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %1) #6
  %5 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 4 dereferenceable(4) %1)
  %6 = load i32, ptr %1, align 4, !tbaa !5
  %7 = add nsw i32 %6, -1
  store i32 %7, ptr %1, align 4, !tbaa !5
  %.not17 = icmp eq i32 %6, 0
  br i1 %.not17, label %._crit_edge, label %.lr.ph

.lr.ph:                                           ; preds = %0, %.lr.ph
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %2) #6
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %3) #6
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %4) #6
  %8 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) %2)
  %9 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) %8, ptr noundef nonnull align 8 dereferenceable(8) %3)
  %10 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) %9, ptr noundef nonnull align 8 dereferenceable(8) %4)
  %11 = load i64, ptr %3, align 8, !tbaa !9
  %12 = load i64, ptr %2, align 8, !tbaa !9
  %13 = ashr i64 %12, 63
  %14 = call noundef i32 @_Z6modinvnn(i64 noundef %12, i64 noundef %13, i64 noundef 1000000007, i64 noundef 0)
  %15 = sext i32 %14 to i64
  %16 = mul nsw i64 %11, %15
  %17 = load i64, ptr %2, align 8, !tbaa !9
  %18 = sext i64 %17 to i128
  %19 = load i64, ptr %4, align 8, !tbaa !9
  %20 = ashr i64 %19, 63
  %21 = ashr i64 %16, 63
  %22 = call noundef { i64, i64 } @_Z9chevyshevnnn(i64 noundef %19, i64 noundef %20, i64 noundef %16, i64 noundef %21, i64 noundef 1000000007, i64 noundef 0)
  %23 = extractvalue { i64, i64 } %22, 0
  %24 = extractvalue { i64, i64 } %22, 1
  %.sroa.2.0.insert.ext = zext i64 %24 to i128
  %.sroa.2.0.insert.shift = shl nuw i128 %.sroa.2.0.insert.ext, 64
  %.sroa.0.0.insert.ext = zext i64 %23 to i128
  %.sroa.0.0.insert.insert = or disjoint i128 %.sroa.2.0.insert.shift, %.sroa.0.0.insert.ext
  %25 = mul nsw i128 %.sroa.0.0.insert.insert, %18
  %26 = srem i128 %25, 1000000007
  %27 = icmp slt i128 %26, 0
  %extract.t16 = trunc nsw i128 %26 to i64
  %extract.t = add nsw i64 %extract.t16, 1000000007
  %.0.off0 = select i1 %27, i64 %extract.t, i64 %extract.t16
  %28 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %.0.off0)
  %29 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) %28, ptr noundef nonnull @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %4) #6
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %3) #6
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %2) #6
  %30 = load i32, ptr %1, align 4, !tbaa !5
  %31 = add nsw i32 %30, -1
  store i32 %31, ptr %1, align 4, !tbaa !5
  %.not = icmp eq i32 %30, 0
  br i1 %.not, label %._crit_edge, label %.lr.ph, !llvm.loop !11

._crit_edge:                                      ; preds = %.lr.ph, %0
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %1) #6
  ret i32 0
}

declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 4 dereferenceable(4)) local_unnamed_addr #4

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 8 dereferenceable(8)) local_unnamed_addr #2 align 2

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8), i64 noundef) local_unnamed_addr #2 align 2

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

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_(ptr noundef nonnull align 8 dereferenceable(8)) #5

attributes #0 = { 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 #1 = { mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #2 = { 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 #3 = { 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 #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 = { inlinehint 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 #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 = !{!"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"}


; Effective O3 passes: EarlyCSEPass,GlobalOptPass,IPSCCPPass,InferFunctionAttrsPass,InstCombinePass,JumpThreadingPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,ReassociatePass,SROAPass,SimplifyCFGPass