From 4926cfe0d301e4d0983109cfc2aad679198aab95 Mon Sep 17 00:00:00 2001
From: Ajurna <ajurna@gmail.com>
Date: Mon, 28 Jul 2025 09:04:39 +0100
Subject: [PATCH] initial

---
 .idea/.gitignore        |   8 +
 .idea/cprotohackers.iml |   2 +
 .idea/editor.xml        | 344 ++++++++++++++++++++++++++++++++++++++++
 .idea/misc.xml          |   7 +
 .idea/modules.xml       |   8 +
 .idea/vcs.xml           |   6 +
 6 files changed, 375 insertions(+)
 create mode 100644 .idea/.gitignore
 create mode 100644 .idea/cprotohackers.iml
 create mode 100644 .idea/editor.xml
 create mode 100644 .idea/misc.xml
 create mode 100644 .idea/modules.xml
 create mode 100644 .idea/vcs.xml

diff --git a/.idea/.gitignore b/.idea/.gitignore
new file mode 100644
index 0000000..13566b8
--- /dev/null
+++ b/.idea/.gitignore
@@ -0,0 +1,8 @@
+# Default ignored files
+/shelf/
+/workspace.xml
+# Editor-based HTTP Client requests
+/httpRequests/
+# Datasource local storage ignored files
+/dataSources/
+/dataSources.local.xml
diff --git a/.idea/cprotohackers.iml b/.idea/cprotohackers.iml
new file mode 100644
index 0000000..f08604b
--- /dev/null
+++ b/.idea/cprotohackers.iml
@@ -0,0 +1,2 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<module classpath="CMake" type="CPP_MODULE" version="4" />
\ No newline at end of file
diff --git a/.idea/editor.xml b/.idea/editor.xml
new file mode 100644
index 0000000..25c6c37
--- /dev/null
+++ b/.idea/editor.xml
@@ -0,0 +1,344 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<project version="4">
+  <component name="BackendCodeEditorSettings">
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CDeclarationWithImplicitIntType/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CommentTypo/@EntryIndexedValue" value="DO_NOT_SHOW" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=ConstevalIfIsAlwaysConstant/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppAbstractClassWithoutSpecifier/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppAbstractFinalClass/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppAbstractVirtualFunctionCallInCtor/@EntryIndexedValue" value="ERROR" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppAccessSpecifierWithNoDeclarations/@EntryIndexedValue" value="SUGGESTION" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppAwaiterTypeIsNotClass/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppBooleanIncrementExpression/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppBoostFormatBadCode/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppBoostFormatLegacyCode/@EntryIndexedValue" value="SUGGESTION" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppBoostFormatMixedArgs/@EntryIndexedValue" value="ERROR" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppBoostFormatTooFewArgs/@EntryIndexedValue" value="ERROR" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppBoostFormatTooManyArgs/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppCStyleCast/@EntryIndexedValue" value="SUGGESTION" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppCVQualifierCanNotBeAppliedToReference/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppClassCanBeFinal/@EntryIndexedValue" value="HINT" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppClassIsIncomplete/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppClassNeedsConstructorBecauseOfUninitializedMember/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppClassNeverUsed/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppCompileTimeConstantCanBeReplacedWithBooleanConstant/@EntryIndexedValue" value="SUGGESTION" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppConceptNeverUsed/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppConditionalExpressionCanBeSimplified/@EntryIndexedValue" value="SUGGESTION" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppConstParameterInDeclaration/@EntryIndexedValue" value="SUGGESTION" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppConstValueFunctionReturnType/@EntryIndexedValue" value="SUGGESTION" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppCoroutineCallResolveError/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppDFAArrayIndexOutOfBounds/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppDFAConstantConditions/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppDFAConstantFunctionResult/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppDFAConstantParameter/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppDFADeletedPointer/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppDFAEndlessLoop/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppDFAInfiniteRecursion/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppDFAInvalidatedMemory/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppDFALocalValueEscapesFunction/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppDFALocalValueEscapesScope/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppDFALoopConditionNotUpdated/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppDFAMemoryLeak/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppDFANotInitializedField/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppDFANullDereference/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppDFATimeOver/@EntryIndexedValue" value="HINT" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppDFAUnreachableCode/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppDFAUnreachableFunctionCall/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppDFAUnreadVariable/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppDFAUnusedValue/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppDeclarationHidesLocal/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppDeclarationHidesUncapturedLocal/@EntryIndexedValue" value="HINT" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppDeclarationSpecifierWithoutDeclarators/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppDeclaratorDisambiguatedAsFunction/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppDeclaratorNeverUsed/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppDeclaratorUsedBeforeInitialization/@EntryIndexedValue" value="ERROR" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppDefaultCaseNotHandledInSwitchStatement/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppDefaultInitializationWithNoUserConstructor/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppDefaultIsUsedAsIdentifier/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppDefaultedSpecialMemberFunctionIsImplicitlyDeleted/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppDeletingVoidPointer/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppDependentTemplateWithoutTemplateKeyword/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppDependentTypeWithoutTypenameKeyword/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppDeprecatedEntity/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppDeprecatedOverridenMethod/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppDeprecatedRegisterStorageClassSpecifier/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppDereferenceOperatorLimitExceeded/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppDiscardedPostfixOperatorResult/@EntryIndexedValue" value="SUGGESTION" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppDoxygenSyntaxError/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppDoxygenUndocumentedParameter/@EntryIndexedValue" value="SUGGESTION" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppDoxygenUnresolvedReference/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppEmptyDeclaration/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppEnforceCVQualifiersOrder/@EntryIndexedValue" value="DO_NOT_SHOW" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppEnforceCVQualifiersPlacement/@EntryIndexedValue" value="DO_NOT_SHOW" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppEnforceDoStatementBraces/@EntryIndexedValue" value="DO_NOT_SHOW" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppEnforceForStatementBraces/@EntryIndexedValue" value="DO_NOT_SHOW" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppEnforceFunctionDeclarationStyle/@EntryIndexedValue" value="DO_NOT_SHOW" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppEnforceIfStatementBraces/@EntryIndexedValue" value="DO_NOT_SHOW" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppEnforceNestedNamespacesStyle/@EntryIndexedValue" value="HINT" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppEnforceOverridingDestructorStyle/@EntryIndexedValue" value="SUGGESTION" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppEnforceOverridingFunctionStyle/@EntryIndexedValue" value="SUGGESTION" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppEnforceTypeAliasCodeStyle/@EntryIndexedValue" value="DO_NOT_SHOW" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppEnforceWhileStatementBraces/@EntryIndexedValue" value="DO_NOT_SHOW" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppEntityAssignedButNoRead/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppEntityUsedOnlyInUnevaluatedContext/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppEnumeratorNeverUsed/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppEqualOperandsInBinaryExpression/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppEvaluationFailure/@EntryIndexedValue" value="ERROR" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppExplicitSpecializationInNonNamespaceScope/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppExpressionWithoutSideEffects/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppFinalFunctionInFinalClass/@EntryIndexedValue" value="SUGGESTION" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppFinalNonOverridingVirtualFunction/@EntryIndexedValue" value="SUGGESTION" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppForLoopCanBeReplacedWithWhile/@EntryIndexedValue" value="SUGGESTION" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppForwardEnumDeclarationWithoutUnderlyingType/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppFunctionDoesntReturnValue/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppFunctionIsNotImplemented/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppFunctionResultShouldBeUsed/@EntryIndexedValue" value="HINT" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppFunctionalStyleCast/@EntryIndexedValue" value="SUGGESTION" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppHeaderHasBeenAlreadyIncluded/@EntryIndexedValue" value="HINT" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppHiddenFunction/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppHidingFunction/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppIdenticalOperandsInBinaryExpression/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppIfCanBeReplacedByConstexprIf/@EntryIndexedValue" value="SUGGESTION" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppImplicitDefaultConstructorNotAvailable/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppIncompatiblePointerConversion/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppIncompleteSwitchStatement/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppInconsistentNaming/@EntryIndexedValue" value="DO_NOT_SHOW" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppIntegralToPointerConversion/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppInvalidLineContinuation/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppJoinDeclarationAndAssignment/@EntryIndexedValue" value="SUGGESTION" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppLambdaCaptureNeverUsed/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppLocalVariableMayBeConst/@EntryIndexedValue" value="HINT" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppLocalVariableMightNotBeInitialized/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppLocalVariableWithNonTrivialDtorIsNeverUsed/@EntryIndexedValue" value="DO_NOT_SHOW" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppLongFloat/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppMemberFunctionMayBeConst/@EntryIndexedValue" value="SUGGESTION" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppMemberFunctionMayBeStatic/@EntryIndexedValue" value="SUGGESTION" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppMemberInitializersOrder/@EntryIndexedValue" value="SUGGESTION" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppMismatchedClassTags/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppMissingIncludeGuard/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppMissingKeywordThrow/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppMsExtAddressOfClassRValue/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppMsExtBindingRValueToLvalueReference/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppMsExtCopyElisionInCopyInitDeclarator/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppMsExtDoubleUserConversionInCopyInit/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppMsExtNotInitializedStaticConstLocalVar/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppMsExtReinterpretCastFromNullptr/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppMultiCharacterLiteral/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppMultiCharacterWideLiteral/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppMustBePublicVirtualToImplementInterface/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppMutableSpecifierOnReferenceMember/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppNoDiscardExpression/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppNodiscardFunctionWithoutReturnValue/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppNonExceptionSafeResourceAcquisition/@EntryIndexedValue" value="HINT" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppNonExplicitConversionOperator/@EntryIndexedValue" value="HINT" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppNonExplicitConvertingConstructor/@EntryIndexedValue" value="HINT" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppNonInlineFunctionDefinitionInHeaderFile/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppNonInlineVariableDefinitionInHeaderFile/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppNotAllPathsReturnValue/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppObjectMemberMightNotBeInitialized/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppOutParameterMustBeWritten/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppParameterMayBeConst/@EntryIndexedValue" value="HINT" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppParameterMayBeConstPtrOrRef/@EntryIndexedValue" value="SUGGESTION" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppParameterNamesMismatch/@EntryIndexedValue" value="HINT" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppParameterNeverUsed/@EntryIndexedValue" value="HINT" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppPassValueParameterByConstReference/@EntryIndexedValue" value="SUGGESTION" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppPointerConversionDropsQualifiers/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppPointerToIntegralConversion/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppPolymorphicClassWithNonVirtualPublicDestructor/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppPossiblyErroneousEmptyStatements/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppPossiblyUninitializedMember/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppPossiblyUnintendedObjectSlicing/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppPrecompiledHeaderIsNotIncluded/@EntryIndexedValue" value="ERROR" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppPrecompiledHeaderNotFound/@EntryIndexedValue" value="ERROR" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppPrintfBadFormat/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppPrintfExtraArg/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppPrintfMissedArg/@EntryIndexedValue" value="ERROR" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppPrintfRiskyFormat/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppPrivateSpecialMemberFunctionIsNotImplemented/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppRangeBasedForIncompatibleReference/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppRedefinitionOfDefaultArgumentInOverrideFunction/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppRedundantAccessSpecifier/@EntryIndexedValue" value="HINT" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppRedundantBaseClassAccessSpecifier/@EntryIndexedValue" value="HINT" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppRedundantBaseClassInitializer/@EntryIndexedValue" value="SUGGESTION" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppRedundantBooleanExpressionArgument/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppRedundantCastExpression/@EntryIndexedValue" value="HINT" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppRedundantComplexityInComparison/@EntryIndexedValue" value="SUGGESTION" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppRedundantConditionalExpression/@EntryIndexedValue" value="SUGGESTION" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppRedundantConstSpecifier/@EntryIndexedValue" value="HINT" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppRedundantControlFlowJump/@EntryIndexedValue" value="HINT" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppRedundantDereferencingAndTakingAddress/@EntryIndexedValue" value="SUGGESTION" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppRedundantElaboratedTypeSpecifier/@EntryIndexedValue" value="HINT" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppRedundantElseKeyword/@EntryIndexedValue" value="HINT" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppRedundantElseKeywordInsideCompoundStatement/@EntryIndexedValue" value="HINT" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppRedundantEmptyDeclaration/@EntryIndexedValue" value="HINT" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppRedundantEmptyStatement/@EntryIndexedValue" value="HINT" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppRedundantExportKeyword/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppRedundantFwdClassOrEnumSpecifier/@EntryIndexedValue" value="SUGGESTION" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppRedundantInlineSpecifier/@EntryIndexedValue" value="HINT" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppRedundantLambdaParameterList/@EntryIndexedValue" value="HINT" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppRedundantMemberInitializer/@EntryIndexedValue" value="SUGGESTION" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppRedundantNamespaceDefinition/@EntryIndexedValue" value="SUGGESTION" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppRedundantParentheses/@EntryIndexedValue" value="HINT" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppRedundantQualifier/@EntryIndexedValue" value="HINT" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppRedundantQualifierADL/@EntryIndexedValue" value="DO_NOT_SHOW" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppRedundantStaticSpecifierOnMemberAllocationFunction/@EntryIndexedValue" value="HINT" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppRedundantStaticSpecifierOnThreadLocalLocalVariable/@EntryIndexedValue" value="HINT" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppRedundantTemplateArguments/@EntryIndexedValue" value="HINT" type="string" />
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+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppRedundantTypenameKeyword/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppRedundantVoidArgumentList/@EntryIndexedValue" value="SUGGESTION" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppRedundantZeroInitializerInAggregateInitialization/@EntryIndexedValue" value="SUGGESTION" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppReinterpretCastFromVoidPtr/@EntryIndexedValue" value="SUGGESTION" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppRemoveRedundantBraces/@EntryIndexedValue" value="DO_NOT_SHOW" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppReplaceMemsetWithZeroInitialization/@EntryIndexedValue" value="SUGGESTION" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppReplaceTieWithStructuredBinding/@EntryIndexedValue" value="SUGGESTION" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppReturnNoValueInNonVoidFunction/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppSmartPointerVsMakeFunction/@EntryIndexedValue" value="SUGGESTION" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppSomeObjectMembersMightNotBeInitialized/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppSpecialFunctionWithoutNoexceptSpecification/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppStaticAssertFailure/@EntryIndexedValue" value="ERROR" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppStaticDataMemberInUnnamedStruct/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppStaticSpecifierOnAnonymousNamespaceMember/@EntryIndexedValue" value="SUGGESTION" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppStringLiteralToCharPointerConversion/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppTabsAreDisallowed/@EntryIndexedValue" value="DO_NOT_SHOW" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppTemplateArgumentsCanBeDeduced/@EntryIndexedValue" value="HINT" type="string" />
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+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppThrowExpressionCanBeReplacedWithRethrow/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppTooWideScope/@EntryIndexedValue" value="SUGGESTION" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppTooWideScopeInitStatement/@EntryIndexedValue" value="HINT" type="string" />
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+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppUnionMemberOfReferenceType/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppUnmatchedPragmaEndRegionDirective/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppUnmatchedPragmaRegionDirective/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppUnnamedNamespaceInHeaderFile/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppUnnecessaryWhitespace/@EntryIndexedValue" value="DO_NOT_SHOW" type="string" />
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+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppUnusedIncludeDirective/@EntryIndexedValue" value="WARNING" type="string" />
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+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppUseAuto/@EntryIndexedValue" value="HINT" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppUseAutoForNumeric/@EntryIndexedValue" value="HINT" type="string" />
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+    <option name="/Default/CodeStyle/CodeFormatting/CppFormatting/SPACE_BEFORE_TEMPLATE_PARAMS/@EntryValue" value="false" type="bool" />
+    <option name="/Default/CodeStyle/CodeFormatting/CppFormatting/SPACE_BETWEEN_CLOSING_ANGLE_BRACKETS_IN_TEMPLATE_ARGS/@EntryValue" value="true" type="bool" />
+    <option name="/Default/CodeStyle/CodeFormatting/CppFormatting/SPACE_WITHIN_ARRAY_ACCESS_BRACKETS/@EntryValue" value="false" type="bool" />
+    <option name="/Default/CodeStyle/CodeFormatting/CppFormatting/SPACE_WITHIN_CAST_EXPRESSION_PARENTHESES/@EntryValue" value="false" type="bool" />
+    <option name="/Default/CodeStyle/CodeFormatting/CppFormatting/SPACE_WITHIN_DECLARATION_PARENTHESES/@EntryValue" value="false" type="bool" />
+    <option name="/Default/CodeStyle/CodeFormatting/CppFormatting/SPACE_WITHIN_EMPTY_BLOCKS/@EntryValue" value="false" type="bool" />
+    <option name="/Default/CodeStyle/CodeFormatting/CppFormatting/SPACE_WITHIN_EMPTY_INITIALIZER_BRACES/@EntryValue" value="false" type="bool" />
+    <option name="/Default/CodeStyle/CodeFormatting/CppFormatting/SPACE_WITHIN_EMPTY_METHOD_PARENTHESES/@EntryValue" value="false" type="bool" />
+    <option name="/Default/CodeStyle/CodeFormatting/CppFormatting/SPACE_WITHIN_EMPTY_TEMPLATE_PARAMS/@EntryValue" value="false" type="bool" />
+    <option name="/Default/CodeStyle/CodeFormatting/CppFormatting/SPACE_WITHIN_INITIALIZER_BRACES/@EntryValue" value="false" type="bool" />
+    <option name="/Default/CodeStyle/CodeFormatting/CppFormatting/SPACE_WITHIN_TEMPLATE_ARGS/@EntryValue" value="false" type="bool" />
+    <option name="/Default/CodeStyle/CodeFormatting/CppFormatting/SPACE_WITHIN_TEMPLATE_PARAMS/@EntryValue" value="false" type="bool" />
+    <option name="/Default/CodeStyle/CodeFormatting/CppFormatting/SPECIAL_ELSE_IF_TREATMENT/@EntryValue" value="true" type="bool" />
+    <option name="/Default/CodeStyle/CodeFormatting/CppFormatting/TAB_WIDTH/@EntryValue" value="4" type="int" />
+    <option name="/Default/CodeStyle/CodeFormatting/CppFormatting/TYPE_DECLARATION_BRACES/@EntryValue" value="END_OF_LINE" type="string" />
+    <option name="/Default/CodeStyle/CodeFormatting/CppFormatting/WRAP_AFTER_BINARY_OPSIGN/@EntryValue" value="true" type="bool" />
+    <option name="/Default/CodeStyle/CodeFormatting/CppFormatting/WRAP_AFTER_DECLARATION_LPAR/@EntryValue" value="false" type="bool" />
+    <option name="/Default/CodeStyle/CodeFormatting/CppFormatting/WRAP_AFTER_INVOCATION_LPAR/@EntryValue" value="false" type="bool" />
+    <option name="/Default/CodeStyle/CodeFormatting/CppFormatting/WRAP_ARGUMENTS_STYLE/@EntryValue" value="WRAP_IF_LONG" type="string" />
+    <option name="/Default/CodeStyle/CodeFormatting/CppFormatting/WRAP_BEFORE_DECLARATION_LPAR/@EntryValue" value="false" type="bool" />
+    <option name="/Default/CodeStyle/CodeFormatting/CppFormatting/WRAP_BEFORE_DECLARATION_RPAR/@EntryValue" value="false" type="bool" />
+    <option name="/Default/CodeStyle/CodeFormatting/CppFormatting/WRAP_BEFORE_INVOCATION_LPAR/@EntryValue" value="false" type="bool" />
+    <option name="/Default/CodeStyle/CodeFormatting/CppFormatting/WRAP_BEFORE_INVOCATION_RPAR/@EntryValue" value="false" type="bool" />
+    <option name="/Default/CodeStyle/CodeFormatting/CppFormatting/WRAP_BEFORE_TERNARY_OPSIGNS/@EntryValue" value="true" type="bool" />
+    <option name="/Default/CodeStyle/CodeFormatting/CppFormatting/WRAP_PARAMETERS_STYLE/@EntryValue" value="WRAP_IF_LONG" type="string" />
+    <option name="/Default/CodeStyle/EditorConfig/EnableClangFormatSupport/@EntryValue" value="false" type="bool" />
+  </component>
+</project>
\ No newline at end of file
diff --git a/.idea/misc.xml b/.idea/misc.xml
new file mode 100644
index 0000000..0b76fe5
--- /dev/null
+++ b/.idea/misc.xml
@@ -0,0 +1,7 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<project version="4">
+  <component name="CMakePythonSetting">
+    <option name="pythonIntegrationState" value="YES" />
+  </component>
+  <component name="CMakeWorkspace" PROJECT_DIR="$PROJECT_DIR$" />
+</project>
\ No newline at end of file
diff --git a/.idea/modules.xml b/.idea/modules.xml
new file mode 100644
index 0000000..34d81ae
--- /dev/null
+++ b/.idea/modules.xml
@@ -0,0 +1,8 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<project version="4">
+  <component name="ProjectModuleManager">
+    <modules>
+      <module fileurl="file://$PROJECT_DIR$/.idea/cprotohackers.iml" filepath="$PROJECT_DIR$/.idea/cprotohackers.iml" />
+    </modules>
+  </component>
+</project>
\ No newline at end of file
diff --git a/.idea/vcs.xml b/.idea/vcs.xml
new file mode 100644
index 0000000..94a25f7
--- /dev/null
+++ b/.idea/vcs.xml
@@ -0,0 +1,6 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<project version="4">
+  <component name="VcsDirectoryMappings">
+    <mapping directory="$PROJECT_DIR$" vcs="Git" />
+  </component>
+</project>
\ No newline at end of file