Cleanup 2021 day 8 puzzles
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@@ -7,17 +7,74 @@
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#include <string>
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#include <vector>
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using Segments = std::string;
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using Segment = char;
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/**
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* \brief If only one segment is lit return that segment, otherwise return '\0'
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* \param segments Segments lit
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* \return Lit segment if only one or '\0' othherwise.
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*/
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auto unique_segment(Segments const& segments) -> Segment
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{
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if (segments.size() == 1) {
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return segments[0];
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}
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return '\0';
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}
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/**
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* \brief Return unique segment lit when \a remove & \a rest are removed from \a segments
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* \tparam Args Types of \a rest
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* \param segments Segments initially lit
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* \param remove Segment to remove from \a segments
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* \param rest Any more segments to remove
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* \return Unique lit segment or '\0' if there isn't one
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*/
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template<typename... Args>
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auto unique_segment(Segments const& segments, Segment remove, Args... rest) -> Segment;
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/**
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* \brief Return unique segment lit when \a remove & \a rest are removed from \a segments
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* \tparam Args Types of \a rest
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* \param segments Segments initially lit
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* \param remove Segment to remove from \a segments
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* \param rest Any more segments to remove
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* \return Unique lit segment or '\0' if there isn't one
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*/
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template<typename... Args>
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auto unique_segment(Segments const& segments, Segments const& remove, Args... rest) -> Segment
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{
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std::string temp;
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std::set_difference(segments.begin(), segments.end(), remove.begin(), remove.end(),
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std::back_inserter(temp));
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return unique_segment(temp, rest...);
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}
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template<typename... Args>
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auto unique_segment(Segments const& segments, Segment remove, Args... rest) -> Segment
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{
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std::string temp;
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std::set_difference(segments.begin(), segments.end(), &remove, &remove + 1,
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std::back_inserter(temp));
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return unique_segment(temp, rest...);
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}
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auto main() -> int
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{
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std::string line;
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unsigned total{0};
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while (std::getline(std::cin, line)) {
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/* We want to identify the digits 1, 4, 7, 8 - which is easy as they're a unique number of lit
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* segment2s. We also want to make use of 0, 6, and 9 which all have six segments lit - but
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* we don't know which one matches which - so we keep them in a vector.
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*/
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std::vector<std::string> six_segments;
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std::string one;
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std::string four;
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std::string seven;
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std::string eight;
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Segments one;
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Segments four;
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Segments seven;
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Segments eight;
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auto it{line.begin()};
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for (; *it != '|'; ++it) {
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if (*it == ' ') {
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@@ -49,64 +106,78 @@ auto main() -> int
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}
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}
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/* Now decode: */
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char a{'.'}, b{'.'}, c{'.'}, d{'.'}, e{'.'}, f{'.'}, g{'.'};
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std::string temp;
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std::set_difference(seven.begin(), seven.end(), one.begin(), one.end(),
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std::back_inserter(temp));
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a = temp[0];
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std::string union47;
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std::set_union(seven.begin(), seven.end(), four.begin(), four.end(),
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std::back_inserter(union47));
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for (auto segment : six_segments) {
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temp.clear();
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std::set_difference(segment.begin(), segment.end(), union47.begin(), union47.end(),
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std::back_inserter(temp));
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if (temp.size() == 1) {
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g = temp[0];
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temp.clear();
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std::set_difference(eight.begin(), eight.end(), segment.begin(), segment.end(),
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std::back_inserter(temp));
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e = temp[0];
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/* Now decode: Each of these contains the character that maps to the given variable name.
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* aa
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* b c
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* b c
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* dd
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* e f
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* e f
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* gg
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*/
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// Segment a{'\0'};
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Segment b{'\0'};
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// Segment c{'\0'};
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// Segment d{'\0'};
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Segment e{'\0'};
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Segment f{'\0'};
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Segment g{'\0'};
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/* a is easy as it's the element lit in 7 but not in 1. */
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Segment a{unique_segment(seven, one)};
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/* The digit 9 is the only six segment digit which has one segment lit when we remove the
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* segments lit in 4 and 7. The remaining lit segment is g. (0 and 6 will both have e and g
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* lit in this case).
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*
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* We can then detect e because it is the element lit in 8 which is not lit in 9.
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*/
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for (auto const& segments : six_segments) {
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g = unique_segment(segments, four, seven);
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if (g != '\0') {
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e = unique_segment(eight, segments); // NOLINT(readability-suspicious-call-argument)
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break;
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}
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}
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std::string union7ge{seven + g + e};
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std::sort(union7ge.begin(), union7ge.end());
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for (auto segment : six_segments) {
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temp.clear();
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std::set_difference(segment.begin(), segment.end(), union7ge.begin(), union7ge.end(),
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std::back_inserter(temp));
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if (temp.size() == 1) {
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b = temp[0];
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/* The digit 0 is the only six segment digit which has one segment lit which isn't in the digit
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* 7 or is e or g. (6 and 9 have two segments in this case). This lit segment is b.
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*/
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for (auto const& segment : six_segments) {
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b = unique_segment(segment, seven, g, e);
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if (b != '\0') {
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break;
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}
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}
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std::string union1b{one + b};
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std::sort(union1b.begin(), union1b.end());
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temp.clear();
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std::set_difference(four.begin(), four.end(), union1b.begin(), union1b.end(),
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std::back_inserter(temp));
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d = temp[0];
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/* Segment d is the remaining segment from 4 when 1 and b have been removed. */
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Segment d{unique_segment(four, one, b)};
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std::string unionabdeg{a, b, d, e, g};
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std::sort(unionabdeg.begin(), unionabdeg.end());
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for (auto segment : six_segments) {
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temp.clear();
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std::set_difference(segment.begin(), segment.end(), unionabdeg.begin(), unionabdeg.end(),
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std::back_inserter(temp));
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if (temp.size() == 1) {
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f = temp[0];
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/* 6 is the six-segment digit with a, b, d, e, and g lit. (0 doesn't have d lit, 9 doesn't
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* have e lit. The remaining segment in 6 is f.
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*/
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for (auto const& segment : six_segments) {
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f = unique_segment(segment, a, b, d, e, g);
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if (f != '\0') {
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break;
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}
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}
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temp.clear();
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std::string unionf{f};
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std::set_difference(one.begin(), one.end(), unionf.begin(), unionf.end(),
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std::back_inserter(temp));
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c = temp[0];
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/* And finally c is the segment in 1 which isn't f. */
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Segment c{unique_segment(one, f)};
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std::array<std::string, 10> nums{
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/* Check everything worked (or at least found a result). */
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assert(a != '\0');
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assert(b != '\0');
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assert(c != '\0');
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assert(d != '\0');
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assert(e != '\0');
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assert(f != '\0');
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assert(g != '\0');
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/* nums is an array of digits containing the segments which make up the display for that digit.
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*/
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std::array<Segments, 10> nums{
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std::string{a, b, c, e, f, g}, // 0
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std::string{c, f}, // 1
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std::string{a, c, d, e, g}, // 2
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@@ -119,17 +190,17 @@ auto main() -> int
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std::string{a, b, c, d, f, g} // 9
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};
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/* Sort the digit lists into alphabetical order so checking becomes easier. */
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for (auto& num : nums) {
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std::sort(num.begin(), num.end());
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}
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for (auto num : nums) {
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std::cout << num << '\n';
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}
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/* Now work out the value for this line. */
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unsigned value{0};
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for (++it; it != line.end(); it = (it == line.end() ? it : it + 1)) {
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++it;
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while (it != line.end()) {
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if (*it == ' ') {
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++it;
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continue;
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}
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std::string s;
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@@ -137,7 +208,8 @@ auto main() -> int
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s += *it++;
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}
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std::sort(s.begin(), s.end());
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auto num{std::find(nums.begin(), nums.end(), s)};
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auto num{std::find(nums.begin(), // NOLINT(llvm-qualified-auto,readability-qualified-auto)
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nums.end(), s)};
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assert(num != nums.end());
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value *= 10;
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value += num - nums.begin();
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