プログラミングパズル的なアレ → http://nabetani.sakura.ne.jp/hena/ordf09rotbox/

makefile

OBJS = solver.o test.o

f90 : $(OBJS)
	$(CXX) $(LDFLAGS) $^ -o $@

$(OBJS): %.o: %.cpp
	$(CXX) -c $(CFLAGS) $< -o $@

clean:
	rm -rf $(OBJS)

solver.cpp

// -*- mode: c++ -*-

#include <algorithm>
#include <iostream>
#include <functional>
#include "solver.h"

using box = std::reference_wrapper<int>;

namespace std {
  template<>
  void swap<box>(box& lo, box& ro) noexcept {
    swap((int&)lo, (int&)ro);
  }
}

void panel_rotate(box (&a)[3]) {
  std::rotate(std::begin(a), std::begin(a)+1, std::end(a));
}

solver::solver(char const* src) : matrix{{1, 2, 3}, {4, 5, 6}, {7, 8, 9}} {
  box pattern[][3] = {
    {matrix[0][0], matrix[0][1], matrix[0][2]}, // a
    {matrix[1][0], matrix[1][1], matrix[1][2]}, // b
    {matrix[2][0], matrix[2][1], matrix[2][2]}, // c
    {matrix[2][0], matrix[1][0], matrix[0][0]}, // d
    {matrix[2][1], matrix[1][1], matrix[0][1]}, // e
    {matrix[2][2], matrix[1][2], matrix[0][2]}, // f
    {matrix[2][2], matrix[2][1], matrix[2][0]}, // g
    {matrix[1][2], matrix[1][1], matrix[1][0]}, // h
    {matrix[0][2], matrix[0][1], matrix[0][0]}, // i
    {matrix[0][2], matrix[1][2], matrix[2][2]}, // j
    {matrix[0][1], matrix[1][1], matrix[2][1]}, // k
    {matrix[0][0], matrix[1][0], matrix[2][0]}  // l
  };

  for(; *src!='\0'; src++) panel_rotate(pattern[*src-u'a']);
}

bool solver::operator==(char const* ro) {
  for(int e: this->matrix[0]) if(*ro!='\0' && *ro++ != e+'0') return false;
  if(*ro!='\0' && *ro++ != '/') return false;
  for(int e: this->matrix[1]) if(*ro!='\0' && *ro++ != e+'0') return false;
  if(*ro!='\0' && *ro++ != '/') return false;
  for(int e: this->matrix[2]) if(*ro!='\0' && *ro++ != e+'0') return false;
  if(*ro!='\0') return false;
  return true;
}

std::ostream& operator<<(std::ostream& os, int (&a)[3]) {
  for(auto e: a) os << e;
  return os;
}

std::ostream& operator<<(std::ostream& os, solver& sol) {
  os << sol.matrix[0] << '/' << sol.matrix[1] << '/' << sol.matrix[2];
  return os;
}

solver.h

// -*- mode: c++ -*-

class solver {
private:
  int matrix[3][3];
public:
  solver(char const* src);
  bool operator==(char const* ro);
  friend std::ostream& operator<<(std::ostream &, solver&);
};

test.cpp

// -*- mode: c++ -*-

#include <iostream>
#include "solver.h"

void test(const char* src, const char* expected) {
  auto answer = solver(src);
  auto okay   = answer==expected;
  std::cout << (okay ? "ok " : "**NG** ")
            << src << "->"
            << answer << std::endl;
}

int main(void) {
  /*0*/ test("aegj", "286/435/971");
  /*1*/ test("a", "231/456/789");
  /*2*/ test("e", "183/426/759");
  /*3*/ test("g", "123/456/978");
  /*4*/ test("j", "126/459/783");
  /*5*/ test("bb", "123/645/789");
  /*6*/ test("jjj", "123/456/789");
  /*7*/ test("bd", "723/164/589");
  /*8*/ test("ah", "231/645/789");
  /*9*/ test("bj", "124/569/783");
  /*10*/ test("db", "723/561/489");
  /*11*/ test("dh", "723/615/489");
  /*12*/ test("dl", "123/456/789");
  /*13*/ test("hc", "123/645/897");
  /*14*/ test("gf", "128/453/976");
  /*15*/ test("hl", "623/745/189");
  /*16*/ test("ja", "261/459/783");
  /*17*/ test("ld", "123/456/789");
  /*18*/ test("ki", "315/486/729");
  /*19*/ test("lfa", "294/753/186");
  /*20*/ test("kga", "531/486/972");
  /*21*/ test("dbi", "372/561/489");
  /*22*/ test("che", "193/625/847");
  /*23*/ test("iea", "823/416/759");
  /*24*/ test("gbl", "523/964/178");
  /*25*/ test("egj", "186/425/973");
  /*26*/ test("jcf", "127/456/839");
  /*27*/ test("djh", "726/915/483");
  /*28*/ test("hld", "123/645/789");
  /*29*/ test("leeh", "453/678/129");
  /*30*/ test("heja", "851/629/743");
  /*31*/ test("cakh", "251/649/837");
  /*32*/ test("bhjik", "652/489/713");
  /*33*/ test("eabji", "483/269/751");
  /*34*/ test("cdbch", "823/156/974");
  /*35*/ test("ckgajc", "536/492/817");
  /*36*/ test("ggchha", "231/564/978");
  /*37*/ test("gfbkeg", "128/534/697");
  /*38*/ test("agfbcbf", "239/148/765");
  /*39*/ test("ekahijf", "123/645/789");
  /*40*/ test("hajdjbe", "789/432/615");
  /*41*/ test("elgililj", "976/325/814");
  /*42*/ test("chffefif", "317/629/845");
  /*43*/ test("ilbbihak", "462/587/319");
  /*44*/ test("abcdefghijkl", "123/456/789");
  /*45*/ test("hkijbglfaced", "768/125/493");
  /*46*/ test("dfkbjiechlga", "256/387/419");
  /*47*/ test("hgfkbidlajce", "186/745/239");
  /*48*/ test("baciefjhgkdl", "153/482/796");
  return 0;
}