; LLVM IR from abeaumont/competitive-programming :: cses (2187)

; 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" }
%"class.std::__cxx11::basic_string" = type { %"struct.std::__cxx11::basic_string<char>::_Alloc_hider", i64, %union.anon }
%"struct.std::__cxx11::basic_string<char>::_Alloc_hider" = type { ptr }
%union.anon = type { i64, [8 x i8] }
%"class.__gnu_cxx::__normal_iterator" = type { ptr }

@f = external dso_local global [1000001 x i64], align 16
@finv = external dso_local global [1000001 x i64], align 16
@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8
@.str = external hidden unnamed_addr constant [3 x i8], align 1

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #0

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #0

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef i64 @_Z6modinvx(i64 noundef) #1

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef i64 @_Z8binomialxx(i64 noundef, i64 noundef) #1

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() #2 personality ptr @__gxx_personality_v0 {
  %1 = alloca i32, align 4
  %2 = alloca i64, align 8
  %3 = alloca i32, align 4
  %4 = alloca i32, align 4
  %5 = alloca i32, align 4
  %6 = alloca i32, align 4
  %7 = alloca %"class.std::__cxx11::basic_string", align 8
  %8 = alloca ptr, align 8
  %9 = alloca i32, align 4
  %10 = alloca ptr, align 8
  %11 = alloca %"class.__gnu_cxx::__normal_iterator", align 8
  %12 = alloca %"class.__gnu_cxx::__normal_iterator", align 8
  %13 = alloca i8, align 1
  %14 = alloca i32, align 4
  %15 = alloca i32, align 4
  %16 = alloca i32, align 4
  %17 = alloca i64, align 8
  store i32 0, ptr %1, align 4
  %18 = load ptr, ptr @_ZSt3cin, align 8, !tbaa !5
  %19 = getelementptr i8, ptr %18, i64 -24
  %20 = load i64, ptr %19, align 8
  %21 = getelementptr inbounds i8, ptr @_ZSt3cin, i64 %20
  %22 = call noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264) %21, ptr noundef null)
  %23 = call noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext true)
  store i64 1, ptr @finv, align 16, !tbaa !8
  store i64 1, ptr @f, align 16, !tbaa !8
  call void @llvm.lifetime.start.p0(i64 8, ptr %2) #7
  store i64 1, ptr %2, align 8, !tbaa !8
  br label %24

24:                                               ; preds = %48, %0
  %25 = load i64, ptr %2, align 8, !tbaa !8
  %26 = icmp sle i64 %25, 1000000
  br i1 %26, label %28, label %27

27:                                               ; preds = %24
  call void @llvm.lifetime.end.p0(i64 8, ptr %2) #7
  br label %51

28:                                               ; preds = %24
  %29 = load i64, ptr %2, align 8, !tbaa !8
  %30 = sub nsw i64 %29, 1
  %31 = getelementptr inbounds [1000001 x i64], ptr @f, i64 0, i64 %30
  %32 = load i64, ptr %31, align 8, !tbaa !8
  %33 = load i64, ptr %2, align 8, !tbaa !8
  %34 = mul nsw i64 %32, %33
  %35 = srem i64 %34, 1000000007
  %36 = load i64, ptr %2, align 8, !tbaa !8
  %37 = getelementptr inbounds [1000001 x i64], ptr @f, i64 0, i64 %36
  store i64 %35, ptr %37, align 8, !tbaa !8
  %38 = load i64, ptr %2, align 8, !tbaa !8
  %39 = sub nsw i64 %38, 1
  %40 = getelementptr inbounds [1000001 x i64], ptr @finv, i64 0, i64 %39
  %41 = load i64, ptr %40, align 8, !tbaa !8
  %42 = load i64, ptr %2, align 8, !tbaa !8
  %43 = call noundef i64 @_Z6modinvx(i64 noundef %42)
  %44 = mul nsw i64 %41, %43
  %45 = srem i64 %44, 1000000007
  %46 = load i64, ptr %2, align 8, !tbaa !8
  %47 = getelementptr inbounds [1000001 x i64], ptr @finv, i64 0, i64 %46
  store i64 %45, ptr %47, align 8, !tbaa !8
  br label %48

48:                                               ; preds = %28
  %49 = load i64, ptr %2, align 8, !tbaa !8
  %50 = add nsw i64 %49, 1
  store i64 %50, ptr %2, align 8, !tbaa !8
  br label %24, !llvm.loop !11

51:                                               ; preds = %27
  call void @llvm.lifetime.start.p0(i64 4, ptr %3) #7
  call void @llvm.lifetime.start.p0(i64 4, ptr %4) #7
  store i32 0, ptr %4, align 4, !tbaa !13
  call void @llvm.lifetime.start.p0(i64 4, ptr %5) #7
  store i32 0, ptr %5, align 4, !tbaa !13
  call void @llvm.lifetime.start.p0(i64 4, ptr %6) #7
  store i32 1, ptr %6, align 4, !tbaa !13
  call void @llvm.lifetime.start.p0(i64 32, ptr %7) #7
  call void @_ZNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEEC2Ev(ptr noundef nonnull align 8 dereferenceable(32) %7) #7
  %52 = invoke noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 4 dereferenceable(4) %3)
          to label %53 unwind label %65

53:                                               ; preds = %51
  %54 = invoke noundef nonnull align 8 dereferenceable(16) ptr @_ZStrsIcSt11char_traitsIcESaIcEERSt13basic_istreamIT_T0_ES7_RNSt7__cxx1112basic_stringIS4_S5_T1_EE(ptr noundef nonnull align 8 dereferenceable(16) %52, ptr noundef nonnull align 8 dereferenceable(32) %7)
          to label %55 unwind label %65

55:                                               ; preds = %53
  call void @llvm.lifetime.start.p0(i64 8, ptr %10) #7
  store ptr %7, ptr %10, align 8, !tbaa !15
  call void @llvm.lifetime.start.p0(i64 8, ptr %11) #7
  %56 = load ptr, ptr %10, align 8, !tbaa !15
  %57 = call ptr @_ZNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEE5beginEv(ptr noundef nonnull align 8 dereferenceable(32) %56) #7
  %58 = getelementptr inbounds %"class.__gnu_cxx::__normal_iterator", ptr %11, i32 0, i32 0
  store ptr %57, ptr %58, align 8
  call void @llvm.lifetime.start.p0(i64 8, ptr %12) #7
  %59 = load ptr, ptr %10, align 8, !tbaa !15
  %60 = call ptr @_ZNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEE3endEv(ptr noundef nonnull align 8 dereferenceable(32) %59) #7
  %61 = getelementptr inbounds %"class.__gnu_cxx::__normal_iterator", ptr %12, i32 0, i32 0
  store ptr %60, ptr %61, align 8
  br label %62

62:                                               ; preds = %86, %55
  %63 = call noundef zeroext i1 @_ZN9__gnu_cxxneIPcNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEEEEEbRKNS_17__normal_iteratorIT_T0_EESD_(ptr noundef nonnull align 8 dereferenceable(8) %11, ptr noundef nonnull align 8 dereferenceable(8) %12) #7
  br i1 %63, label %69, label %64

64:                                               ; preds = %62
  call void @llvm.lifetime.end.p0(i64 8, ptr %12) #7
  call void @llvm.lifetime.end.p0(i64 8, ptr %11) #7
  call void @llvm.lifetime.end.p0(i64 8, ptr %10) #7
  br label %88

65:                                               ; preds = %95, %53, %51
  %66 = landingpad { ptr, i32 }
          cleanup
  %67 = extractvalue { ptr, i32 } %66, 0
  store ptr %67, ptr %8, align 8
  %68 = extractvalue { ptr, i32 } %66, 1
  store i32 %68, ptr %9, align 4
  br label %150

69:                                               ; preds = %62
  call void @llvm.lifetime.start.p0(i64 1, ptr %13) #7
  %70 = call noundef nonnull align 1 dereferenceable(1) ptr @_ZNK9__gnu_cxx17__normal_iteratorIPcNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEEEEdeEv(ptr noundef nonnull align 8 dereferenceable(8) %11) #7
  %71 = load i8, ptr %70, align 1, !tbaa !17
  store i8 %71, ptr %13, align 1, !tbaa !17
  %72 = load i8, ptr %13, align 1, !tbaa !17
  %73 = sext i8 %72 to i32
  %74 = icmp eq i32 %73, 40
  br i1 %74, label %75, label %78

75:                                               ; preds = %69
  %76 = load i32, ptr %4, align 4, !tbaa !13
  %77 = add nsw i32 %76, 1
  store i32 %77, ptr %4, align 4, !tbaa !13
  br label %85

78:                                               ; preds = %69
  %79 = load i32, ptr %5, align 4, !tbaa !13
  %80 = add nsw i32 %79, 1
  store i32 %80, ptr %5, align 4, !tbaa !13
  %81 = load i32, ptr %4, align 4, !tbaa !13
  %82 = icmp sgt i32 %80, %81
  br i1 %82, label %83, label %84

83:                                               ; preds = %78
  store i32 0, ptr %6, align 4, !tbaa !13
  br label %84

84:                                               ; preds = %83, %78
  br label %85

85:                                               ; preds = %84, %75
  call void @llvm.lifetime.end.p0(i64 1, ptr %13) #7
  br label %86

86:                                               ; preds = %85
  %87 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZN9__gnu_cxx17__normal_iteratorIPcNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEEEEppEv(ptr noundef nonnull align 8 dereferenceable(8) %11) #7
  br label %62

88:                                               ; preds = %64
  %89 = load i32, ptr %6, align 4, !tbaa !13
  %90 = icmp ne i32 %89, 0
  br i1 %90, label %91, label %95

91:                                               ; preds = %88
  %92 = load i32, ptr %3, align 4, !tbaa !13
  %93 = and i32 %92, 1
  %94 = icmp ne i32 %93, 0
  br i1 %94, label %95, label %98

95:                                               ; preds = %91, %88
  %96 = invoke noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, ptr noundef @.str)
          to label %97 unwind label %65

97:                                               ; preds = %95
  store i32 0, ptr %1, align 4
  store i32 1, ptr %14, align 4
  br label %141

98:                                               ; preds = %91
  call void @llvm.lifetime.start.p0(i64 4, ptr %15) #7
  %99 = load i32, ptr %3, align 4, !tbaa !13
  %100 = load i32, ptr %4, align 4, !tbaa !13
  %101 = sub nsw i32 %99, %100
  %102 = load i32, ptr %5, align 4, !tbaa !13
  %103 = sub nsw i32 %101, %102
  store i32 %103, ptr %15, align 4, !tbaa !13
  call void @llvm.lifetime.start.p0(i64 4, ptr %16) #7
  %104 = invoke noundef nonnull align 4 dereferenceable(4) ptr @_ZSt3minIiERKT_S2_S2_(ptr noundef nonnull align 4 dereferenceable(4) %4, ptr noundef nonnull align 4 dereferenceable(4) %5)
          to label %105 unwind label %131

105:                                              ; preds = %98
  %106 = load i32, ptr %104, align 4, !tbaa !13
  store i32 %106, ptr %16, align 4, !tbaa !13
  call void @llvm.lifetime.start.p0(i64 8, ptr %17) #7
  %107 = load i32, ptr %15, align 4, !tbaa !13
  %108 = sext i32 %107 to i64
  %109 = load i32, ptr %3, align 4, !tbaa !13
  %110 = sdiv i32 %109, 2
  %111 = load i32, ptr %4, align 4, !tbaa !13
  %112 = sub nsw i32 %110, %111
  %113 = sext i32 %112 to i64
  %114 = call noundef i64 @_Z8binomialxx(i64 noundef %108, i64 noundef %113)
  %115 = load i32, ptr %15, align 4, !tbaa !13
  %116 = sext i32 %115 to i64
  %117 = load i32, ptr %3, align 4, !tbaa !13
  %118 = sdiv i32 %117, 2
  %119 = load i32, ptr %5, align 4, !tbaa !13
  %120 = sub nsw i32 %118, %119
  %121 = add nsw i32 %120, 1
  %122 = sext i32 %121 to i64
  %123 = call noundef i64 @_Z8binomialxx(i64 noundef %116, i64 noundef %122)
  %124 = sub nsw i64 %114, %123
  %125 = srem i64 %124, 1000000007
  store i64 %125, ptr %17, align 8, !tbaa !8
  %126 = load i64, ptr %17, align 8, !tbaa !8
  %127 = icmp slt i64 %126, 0
  br i1 %127, label %128, label %135

128:                                              ; preds = %105
  %129 = load i64, ptr %17, align 8, !tbaa !8
  %130 = add nsw i64 %129, 1000000007
  store i64 %130, ptr %17, align 8, !tbaa !8
  br label %135

131:                                              ; preds = %98
  %132 = landingpad { ptr, i32 }
          cleanup
  %133 = extractvalue { ptr, i32 } %132, 0
  store ptr %133, ptr %8, align 8
  %134 = extractvalue { ptr, i32 } %132, 1
  store i32 %134, ptr %9, align 4
  br label %149

135:                                              ; preds = %128, %105
  %136 = load i64, ptr %17, align 8, !tbaa !8
  %137 = invoke noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %136)
          to label %138 unwind label %145

138:                                              ; preds = %135
  %139 = invoke noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8) %137, i8 noundef signext 10)
          to label %140 unwind label %145

140:                                              ; preds = %138
  call void @llvm.lifetime.end.p0(i64 8, ptr %17) #7
  call void @llvm.lifetime.end.p0(i64 4, ptr %16) #7
  call void @llvm.lifetime.end.p0(i64 4, ptr %15) #7
  store i32 0, ptr %14, align 4
  br label %141

141:                                              ; preds = %140, %97
  call void @_ZNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEED2Ev(ptr noundef nonnull align 8 dereferenceable(32) %7) #7
  call void @llvm.lifetime.end.p0(i64 32, ptr %7) #7
  call void @llvm.lifetime.end.p0(i64 4, ptr %6) #7
  call void @llvm.lifetime.end.p0(i64 4, ptr %5) #7
  call void @llvm.lifetime.end.p0(i64 4, ptr %4) #7
  call void @llvm.lifetime.end.p0(i64 4, ptr %3) #7
  %142 = load i32, ptr %14, align 4
  switch i32 %142, label %156 [
    i32 0, label %143
    i32 1, label %143
  ]

143:                                              ; preds = %141, %141
  %144 = load i32, ptr %1, align 4
  ret i32 %144

145:                                              ; preds = %138, %135
  %146 = landingpad { ptr, i32 }
          cleanup
  %147 = extractvalue { ptr, i32 } %146, 0
  store ptr %147, ptr %8, align 8
  %148 = extractvalue { ptr, i32 } %146, 1
  store i32 %148, ptr %9, align 4
  call void @llvm.lifetime.end.p0(i64 8, ptr %17) #7
  br label %149

149:                                              ; preds = %145, %131
  call void @llvm.lifetime.end.p0(i64 4, ptr %16) #7
  call void @llvm.lifetime.end.p0(i64 4, ptr %15) #7
  br label %150

150:                                              ; preds = %149, %65
  call void @_ZNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEED2Ev(ptr noundef nonnull align 8 dereferenceable(32) %7) #7
  call void @llvm.lifetime.end.p0(i64 32, ptr %7) #7
  call void @llvm.lifetime.end.p0(i64 4, ptr %6) #7
  call void @llvm.lifetime.end.p0(i64 4, ptr %5) #7
  call void @llvm.lifetime.end.p0(i64 4, ptr %4) #7
  call void @llvm.lifetime.end.p0(i64 4, ptr %3) #7
  br label %151

151:                                              ; preds = %150
  %152 = load ptr, ptr %8, align 8
  %153 = load i32, ptr %9, align 4
  %154 = insertvalue { ptr, i32 } poison, ptr %152, 0
  %155 = insertvalue { ptr, i32 } %154, i32 %153, 1
  resume { ptr, i32 } %155

156:                                              ; preds = %141
  unreachable
}

; Function Attrs: mustprogress nounwind uwtable
declare noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264), ptr noundef) #1 align 2

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

; Function Attrs: mustprogress nounwind uwtable
declare void @_ZNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEEC2Ev(ptr noundef nonnull align 8 dereferenceable(32)) unnamed_addr #1 align 2

declare noundef nonnull align 8 dereferenceable(16) ptr @_ZStrsIcSt11char_traitsIcESaIcEERSt13basic_istreamIT_T0_ES7_RNSt7__cxx1112basic_stringIS4_S5_T1_EE(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 8 dereferenceable(32)) #3

declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 4 dereferenceable(4)) #3

declare i32 @__gxx_personality_v0(...)

; Function Attrs: mustprogress nounwind uwtable
declare ptr @_ZNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEE5beginEv(ptr noundef nonnull align 8 dereferenceable(32)) #1 align 2

; Function Attrs: mustprogress nounwind uwtable
declare ptr @_ZNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEE3endEv(ptr noundef nonnull align 8 dereferenceable(32)) #1 align 2

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef zeroext i1 @_ZN9__gnu_cxxneIPcNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEEEEEbRKNS_17__normal_iteratorIT_T0_EESD_(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef nonnull align 8 dereferenceable(8)) #4

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef nonnull align 1 dereferenceable(1) ptr @_ZNK9__gnu_cxx17__normal_iteratorIPcNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEEEEdeEv(ptr noundef nonnull align 8 dereferenceable(8)) #1 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(8) ptr @_ZN9__gnu_cxx17__normal_iteratorIPcNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEEEEppEv(ptr noundef nonnull align 8 dereferenceable(8)) #1 align 2

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef) #5

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef nonnull align 4 dereferenceable(4) ptr @_ZSt3minIiERKT_S2_S2_(ptr noundef nonnull align 4 dereferenceable(4), ptr noundef nonnull align 4 dereferenceable(4)) #4

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8), i8 noundef signext) #5

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8), i64 noundef) #6 align 2

; Function Attrs: mustprogress nounwind uwtable
declare void @_ZNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEED2Ev(ptr noundef nonnull align 8 dereferenceable(32)) unnamed_addr #1 align 2

attributes #0 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #1 = { 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 #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 = { inlinehint 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 = { 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 = { 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 #7 = { 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 = !{!"vtable pointer", !7, i64 0}
!7 = !{!"Simple C++ TBAA"}
!8 = !{!9, !9, i64 0}
!9 = !{!"long long", !10, i64 0}
!10 = !{!"omnipotent char", !7, i64 0}
!11 = distinct !{!11, !12}
!12 = !{!"llvm.loop.mustprogress"}
!13 = !{!14, !14, i64 0}
!14 = !{!"int", !10, i64 0}
!15 = !{!16, !16, i64 0}
!16 = !{!"any pointer", !10, i64 0}
!17 = !{!10, !10, i64 0}


; 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" }
%"class.std::__cxx11::basic_string" = type { %"struct.std::__cxx11::basic_string<char>::_Alloc_hider", i64, %union.anon }
%"struct.std::__cxx11::basic_string<char>::_Alloc_hider" = type { ptr }
%union.anon = type { i64, [8 x i8] }
%"class.__gnu_cxx::__normal_iterator" = type { ptr }

@f = external dso_local local_unnamed_addr global [1000001 x i64], align 16
@finv = external dso_local local_unnamed_addr global [1000001 x i64], align 16
@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8
@.str = external hidden unnamed_addr constant [3 x i8], align 1

; Function Attrs: mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #0

; Function Attrs: mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #0

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef i64 @_Z6modinvx(i64 noundef) local_unnamed_addr #1

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef i64 @_Z8binomialxx(i64 noundef, i64 noundef) local_unnamed_addr #1

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() local_unnamed_addr #2 personality ptr @__gxx_personality_v0 {
  %1 = alloca i32, align 4
  %2 = alloca i32, align 4
  %3 = alloca i32, align 4
  %4 = alloca %"class.std::__cxx11::basic_string", align 8
  %5 = alloca %"class.__gnu_cxx::__normal_iterator", align 8
  %6 = alloca %"class.__gnu_cxx::__normal_iterator", align 8
  %7 = load ptr, ptr @_ZSt3cin, align 8, !tbaa !5
  %8 = getelementptr i8, ptr %7, i64 -24
  %9 = load i64, ptr %8, align 8
  %10 = getelementptr inbounds i8, ptr @_ZSt3cin, i64 %9
  %11 = tail call noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264) %10, ptr noundef null)
  %12 = tail call noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext true)
  store i64 1, ptr @finv, align 16, !tbaa !8
  store i64 1, ptr @f, align 16, !tbaa !8
  br label %15

13:                                               ; preds = %15
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %1) #7
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %2) #7
  store i32 0, ptr %2, align 4, !tbaa !11
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %3) #7
  store i32 0, ptr %3, align 4, !tbaa !11
  call void @llvm.lifetime.start.p0(i64 32, ptr nonnull %4) #7
  call void @_ZNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEEC2Ev(ptr noundef nonnull align 8 dereferenceable(32) %4) #7
  %14 = invoke noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 4 dereferenceable(4) %1)
          to label %28 unwind label %35

15:                                               ; preds = %0, %15
  %16 = phi i64 [ 1, %0 ], [ %25, %15 ]
  %.02033 = phi i64 [ 1, %0 ], [ %27, %15 ]
  %17 = add nsw i64 %.02033, -1
  %18 = getelementptr inbounds [1000001 x i64], ptr @f, i64 0, i64 %17
  %19 = load i64, ptr %18, align 8, !tbaa !8
  %20 = mul nsw i64 %19, %.02033
  %21 = srem i64 %20, 1000000007
  %22 = getelementptr inbounds [1000001 x i64], ptr @f, i64 0, i64 %.02033
  store i64 %21, ptr %22, align 8, !tbaa !8
  %23 = tail call noundef i64 @_Z6modinvx(i64 noundef %.02033)
  %24 = mul nsw i64 %23, %16
  %25 = srem i64 %24, 1000000007
  %26 = getelementptr inbounds [1000001 x i64], ptr @finv, i64 0, i64 %.02033
  store i64 %25, ptr %26, align 8, !tbaa !8
  %27 = add nuw nsw i64 %.02033, 1
  %exitcond.not = icmp eq i64 %27, 1000001
  br i1 %exitcond.not, label %13, label %15, !llvm.loop !13

28:                                               ; preds = %13
  %29 = invoke noundef nonnull align 8 dereferenceable(16) ptr @_ZStrsIcSt11char_traitsIcESaIcEERSt13basic_istreamIT_T0_ES7_RNSt7__cxx1112basic_stringIS4_S5_T1_EE(ptr noundef nonnull align 8 dereferenceable(16) %14, ptr noundef nonnull align 8 dereferenceable(32) %4)
          to label %30 unwind label %35

30:                                               ; preds = %28
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %5) #7
  %31 = call ptr @_ZNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEE5beginEv(ptr noundef nonnull align 8 dereferenceable(32) %4) #7
  store ptr %31, ptr %5, align 8
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %6) #7
  %32 = call ptr @_ZNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEE3endEv(ptr noundef nonnull align 8 dereferenceable(32) %4) #7
  store ptr %32, ptr %6, align 8
  %33 = call noundef zeroext i1 @_ZN9__gnu_cxxneIPcNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEEEEEbRKNS_17__normal_iteratorIT_T0_EESD_(ptr noundef nonnull align 8 dereferenceable(8) %5, ptr noundef nonnull align 8 dereferenceable(8) %6) #7
  br i1 %33, label %.lr.ph, label %._crit_edge.thread

._crit_edge.thread:                               ; preds = %30
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %6) #7
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %5) #7
  br label %51

._crit_edge:                                      ; preds = %46
  %34 = icmp eq i32 %.1, 0
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %6) #7
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %5) #7
  br i1 %34, label %56, label %51

35:                                               ; preds = %56, %28, %13
  %36 = landingpad { ptr, i32 }
          cleanup
  br label %85

.lr.ph:                                           ; preds = %30, %46
  %37 = phi i32 [ %47, %46 ], [ 0, %30 ]
  %38 = phi i32 [ %48, %46 ], [ 0, %30 ]
  %.02134 = phi i32 [ %.1, %46 ], [ 1, %30 ]
  %39 = call noundef nonnull align 1 dereferenceable(1) ptr @_ZNK9__gnu_cxx17__normal_iteratorIPcNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEEEEdeEv(ptr noundef nonnull align 8 dereferenceable(8) %5) #7
  %40 = load i8, ptr %39, align 1, !tbaa !15
  %41 = icmp eq i8 %40, 40
  br i1 %41, label %42, label %44

42:                                               ; preds = %.lr.ph
  %43 = add nsw i32 %37, 1
  store i32 %43, ptr %2, align 4, !tbaa !11
  br label %46

44:                                               ; preds = %.lr.ph
  %45 = add nsw i32 %38, 1
  store i32 %45, ptr %3, align 4, !tbaa !11
  %.not28 = icmp slt i32 %38, %37
  %spec.select = select i1 %.not28, i32 %.02134, i32 0
  br label %46

46:                                               ; preds = %44, %42
  %47 = phi i32 [ %43, %42 ], [ %37, %44 ]
  %48 = phi i32 [ %38, %42 ], [ %45, %44 ]
  %.1 = phi i32 [ %.02134, %42 ], [ %spec.select, %44 ]
  %49 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZN9__gnu_cxx17__normal_iteratorIPcNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEEEEppEv(ptr noundef nonnull align 8 dereferenceable(8) %5) #7
  %50 = call noundef zeroext i1 @_ZN9__gnu_cxxneIPcNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEEEEEbRKNS_17__normal_iteratorIT_T0_EESD_(ptr noundef nonnull align 8 dereferenceable(8) %5, ptr noundef nonnull align 8 dereferenceable(8) %6) #7
  br i1 %50, label %.lr.ph, label %._crit_edge

51:                                               ; preds = %._crit_edge.thread, %._crit_edge
  %52 = phi i32 [ 0, %._crit_edge.thread ], [ %47, %._crit_edge ]
  %53 = phi i32 [ 0, %._crit_edge.thread ], [ %48, %._crit_edge ]
  %54 = load i32, ptr %1, align 4, !tbaa !11
  %55 = and i32 %54, 1
  %.not26 = icmp eq i32 %55, 0
  br i1 %.not26, label %58, label %56

56:                                               ; preds = %51, %._crit_edge
  %57 = invoke noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, ptr noundef nonnull @.str)
          to label %82 unwind label %35

58:                                               ; preds = %51
  %59 = add i32 %52, %53
  %60 = sub i32 %54, %59
  %61 = call noundef nonnull align 4 dereferenceable(4) ptr @_ZSt3minIiERKT_S2_S2_(ptr noundef nonnull align 4 dereferenceable(4) %2, ptr noundef nonnull align 4 dereferenceable(4) %3)
  %62 = sext i32 %60 to i64
  %63 = load i32, ptr %1, align 4, !tbaa !11
  %64 = sdiv i32 %63, 2
  %65 = load i32, ptr %2, align 4, !tbaa !11
  %66 = sub nsw i32 %64, %65
  %67 = sext i32 %66 to i64
  %68 = call noundef i64 @_Z8binomialxx(i64 noundef %62, i64 noundef %67)
  %69 = load i32, ptr %1, align 4, !tbaa !11
  %70 = sdiv i32 %69, 2
  %71 = load i32, ptr %3, align 4, !tbaa !11
  %reass.sub = sub i32 %70, %71
  %72 = add i32 %reass.sub, 1
  %73 = sext i32 %72 to i64
  %74 = call noundef i64 @_Z8binomialxx(i64 noundef %62, i64 noundef %73)
  %75 = sub nsw i64 %68, %74
  %76 = srem i64 %75, 1000000007
  %77 = icmp slt i64 %76, 0
  %78 = add nsw i64 %76, 1000000007
  %spec.select29 = select i1 %77, i64 %78, i64 %76
  %79 = invoke noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %spec.select29)
          to label %80 unwind label %83

80:                                               ; preds = %58
  %81 = invoke noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8) %79, i8 noundef signext 10)
          to label %82 unwind label %83

82:                                               ; preds = %80, %56
  call void @_ZNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEED2Ev(ptr noundef nonnull align 8 dereferenceable(32) %4) #7
  call void @llvm.lifetime.end.p0(i64 32, ptr nonnull %4) #7
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %3) #7
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %2) #7
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %1) #7
  ret i32 0

83:                                               ; preds = %80, %58
  %84 = landingpad { ptr, i32 }
          cleanup
  br label %85

85:                                               ; preds = %83, %35
  %.pn = phi { ptr, i32 } [ %36, %35 ], [ %84, %83 ]
  call void @_ZNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEED2Ev(ptr noundef nonnull align 8 dereferenceable(32) %4) #7
  call void @llvm.lifetime.end.p0(i64 32, ptr nonnull %4) #7
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %3) #7
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %2) #7
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %1) #7
  resume { ptr, i32 } %.pn
}

; Function Attrs: mustprogress nounwind uwtable
declare noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264), ptr noundef) local_unnamed_addr #1 align 2

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

; Function Attrs: mustprogress nounwind uwtable
declare void @_ZNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEEC2Ev(ptr noundef nonnull align 8 dereferenceable(32)) unnamed_addr #1 align 2

declare noundef nonnull align 8 dereferenceable(16) ptr @_ZStrsIcSt11char_traitsIcESaIcEERSt13basic_istreamIT_T0_ES7_RNSt7__cxx1112basic_stringIS4_S5_T1_EE(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 8 dereferenceable(32)) local_unnamed_addr #3

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 #3

declare i32 @__gxx_personality_v0(...)

; Function Attrs: mustprogress nounwind uwtable
declare ptr @_ZNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEE5beginEv(ptr noundef nonnull align 8 dereferenceable(32)) local_unnamed_addr #1 align 2

; Function Attrs: mustprogress nounwind uwtable
declare ptr @_ZNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEE3endEv(ptr noundef nonnull align 8 dereferenceable(32)) local_unnamed_addr #1 align 2

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef zeroext i1 @_ZN9__gnu_cxxneIPcNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEEEEEbRKNS_17__normal_iteratorIT_T0_EESD_(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef nonnull align 8 dereferenceable(8)) local_unnamed_addr #4

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef nonnull align 1 dereferenceable(1) ptr @_ZNK9__gnu_cxx17__normal_iteratorIPcNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEEEEdeEv(ptr noundef nonnull align 8 dereferenceable(8)) local_unnamed_addr #1 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(8) ptr @_ZN9__gnu_cxx17__normal_iteratorIPcNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEEEEppEv(ptr noundef nonnull align 8 dereferenceable(8)) local_unnamed_addr #1 align 2

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef) local_unnamed_addr #5

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef nonnull align 4 dereferenceable(4) ptr @_ZSt3minIiERKT_S2_S2_(ptr noundef nonnull align 4 dereferenceable(4), ptr noundef nonnull align 4 dereferenceable(4)) local_unnamed_addr #4

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8), i8 noundef signext) local_unnamed_addr #5

; 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 #6 align 2

; Function Attrs: mustprogress nounwind uwtable
declare void @_ZNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEED2Ev(ptr noundef nonnull align 8 dereferenceable(32)) unnamed_addr #1 align 2

attributes #0 = { mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #1 = { 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 #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 = { inlinehint 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 = { 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 = { 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 #7 = { 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 = !{!"vtable pointer", !7, i64 0}
!7 = !{!"Simple C++ TBAA"}
!8 = !{!9, !9, i64 0}
!9 = !{!"long long", !10, i64 0}
!10 = !{!"omnipotent char", !7, i64 0}
!11 = !{!12, !12, i64 0}
!12 = !{!"int", !10, i64 0}
!13 = distinct !{!13, !14}
!14 = !{!"llvm.loop.mustprogress"}
!15 = !{!10, !10, i64 0}


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