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April 8, 2020 03:38
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Solving the 3 digit facebook challenge
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| <?php | |
| /* | |
| Created by Alan Beebe (2020) | |
| This is free and unencumbered software released into the public domain. | |
| Anyone is free to copy, modify, publish, use, compile, sell, or | |
| distribute this software, either in source code form or as a compiled | |
| binary, for any purpose, commercial or non-commercial, and by any | |
| means. | |
| In jurisdictions that recognize copyright laws, the author or authors | |
| of this software dedicate any and all copyright interest in the | |
| software to the public domain. We make this dedication for the benefit | |
| of the public at large and to the detriment of our heirs and | |
| successors. We intend this dedication to be an overt act of | |
| relinquishment in perpetuity of all present and future rights to this | |
| software under copyright law. | |
| THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, | |
| EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF | |
| MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. | |
| IN NO EVENT SHALL THE AUTHORS BE LIABLE FOR ANY CLAIM, DAMAGES OR | |
| OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, | |
| ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR | |
| OTHER DEALINGS IN THE SOFTWARE. | |
| For more information, please refer to [http://unlicense.org] | |
| ### | |
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| 580 = First rule broken | |
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| 591 = Second rule broken | |
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| 679 = Correct Answer! | |
| 680 = First rule broken | |
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| 846 = First rule broken | |
| 847 = First rule broken | |
| 848 = First rule broken | |
| 849 = First rule broken | |
| 850 = First rule broken | |
| 851 = Second rule broken | |
| 852 = First rule broken | |
| 853 = First rule broken | |
| 854 = First rule broken | |
| 855 = First rule broken | |
| 856 = First rule broken | |
| 857 = First rule broken | |
| 858 = First rule broken | |
| 859 = First rule broken | |
| 860 = First rule broken | |
| 861 = Second rule broken | |
| 862 = First rule broken | |
| 863 = First rule broken | |
| 864 = First rule broken | |
| 865 = First rule broken | |
| 866 = First rule broken | |
| 867 = First rule broken | |
| 868 = First rule broken | |
| 869 = First rule broken | |
| 870 = Second rule broken | |
| 871 = First rule broken | |
| 872 = Second rule broken | |
| 873 = Second rule broken | |
| 874 = Second rule broken | |
| 875 = Second rule broken | |
| 876 = Second rule broken | |
| 877 = Second rule broken | |
| 878 = Second rule broken | |
| 879 = Second rule broken | |
| 880 = First rule broken | |
| 881 = Second rule broken | |
| 882 = First rule broken | |
| 883 = First rule broken | |
| 884 = First rule broken | |
| 885 = First rule broken | |
| 886 = First rule broken | |
| 887 = First rule broken | |
| 888 = First rule broken | |
| 889 = First rule broken | |
| 890 = First rule broken | |
| 891 = Second rule broken | |
| 892 = First rule broken | |
| 893 = First rule broken | |
| 894 = First rule broken | |
| 895 = First rule broken | |
| 896 = First rule broken | |
| 897 = First rule broken | |
| 898 = First rule broken | |
| 899 = First rule broken | |
| 900 = First rule broken | |
| 901 = Second rule broken | |
| 902 = First rule broken | |
| 903 = First rule broken | |
| 904 = First rule broken | |
| 905 = First rule broken | |
| 906 = First rule broken | |
| 907 = First rule broken | |
| 908 = First rule broken | |
| 909 = First rule broken | |
| 910 = Second rule broken | |
| 911 = First rule broken | |
| 912 = Second rule broken | |
| 913 = Second rule broken | |
| 914 = Second rule broken | |
| 915 = Second rule broken | |
| 916 = Second rule broken | |
| 917 = Second rule broken | |
| 918 = Second rule broken | |
| 919 = Second rule broken | |
| 920 = First rule broken | |
| 921 = Second rule broken | |
| 922 = First rule broken | |
| 923 = First rule broken | |
| 924 = First rule broken | |
| 925 = First rule broken | |
| 926 = First rule broken | |
| 927 = First rule broken | |
| 928 = First rule broken | |
| 929 = First rule broken | |
| 930 = First rule broken | |
| 931 = Second rule broken | |
| 932 = First rule broken | |
| 933 = First rule broken | |
| 934 = First rule broken | |
| 935 = First rule broken | |
| 936 = First rule broken | |
| 937 = First rule broken | |
| 938 = First rule broken | |
| 939 = First rule broken | |
| 940 = First rule broken | |
| 941 = Second rule broken | |
| 942 = First rule broken | |
| 943 = First rule broken | |
| 944 = First rule broken | |
| 945 = First rule broken | |
| 946 = First rule broken | |
| 947 = First rule broken | |
| 948 = First rule broken | |
| 949 = First rule broken | |
| 950 = First rule broken | |
| 951 = Second rule broken | |
| 952 = First rule broken | |
| 953 = First rule broken | |
| 954 = First rule broken | |
| 955 = First rule broken | |
| 956 = First rule broken | |
| 957 = First rule broken | |
| 958 = First rule broken | |
| 959 = First rule broken | |
| 960 = First rule broken | |
| 961 = Second rule broken | |
| 962 = First rule broken | |
| 963 = First rule broken | |
| 964 = First rule broken | |
| 965 = First rule broken | |
| 966 = First rule broken | |
| 967 = First rule broken | |
| 968 = First rule broken | |
| 969 = First rule broken | |
| 970 = Second rule broken | |
| 971 = First rule broken | |
| 972 = Second rule broken | |
| 973 = Second rule broken | |
| 974 = Second rule broken | |
| 975 = Second rule broken | |
| 976 = Second rule broken | |
| 977 = Second rule broken | |
| 978 = Second rule broken | |
| 979 = Second rule broken | |
| 980 = First rule broken | |
| 981 = Second rule broken | |
| 982 = First rule broken | |
| 983 = First rule broken | |
| 984 = First rule broken | |
| 985 = First rule broken | |
| 986 = First rule broken | |
| 987 = First rule broken | |
| 988 = First rule broken | |
| 989 = First rule broken | |
| 990 = First rule broken | |
| 991 = Second rule broken | |
| 992 = First rule broken | |
| 993 = First rule broken | |
| 994 = First rule broken | |
| 995 = First rule broken | |
| 996 = First rule broken | |
| 997 = First rule broken | |
| 998 = First rule broken | |
| 999 = First rule broken | |
| */ | |
| print("<pre>"); | |
| // Generate all possible combinations from 100 to 999 and evaluate them | |
| for ($x = 100; $x <= 999; $x++) { | |
| $numbers = str_split("".$x); | |
| print $x." = ".evaluate($numbers[0], $numbers[1], $numbers[2])."\n"; | |
| } | |
| /* | |
| Evaluate a set of number against the 5 rules | |
| */ | |
| function evaluate($num1, $num2, $num3) { | |
| if (rule1($num1, $num2, $num3) == false) { | |
| return "First rule broken"; | |
| } else if (rule2($num1, $num2, $num3) == false) { | |
| return "Second rule broken"; | |
| } else if (rule3($num1, $num2, $num3) == false) { | |
| return "Third rule broken"; | |
| } else if (rule4($num1, $num2, $num3) == false) { | |
| return "Fourth rule broken"; | |
| } else if (rule5($num1, $num2, $num3) == false) { | |
| return "Fifth rule broken"; | |
| } else { | |
| return ("Correct Answer!"); | |
| } | |
| } | |
| /* | |
| One digit is right but in the wrong place | |
| | 1 | 4 | 7 | | |
| */ | |
| function rule1($num1, $num2, $num3) { | |
| $possibilities = 0; | |
| // First digit can be 4 or 7 | |
| if (($num1 == 4) || ($num1 == 7)) { | |
| $possibilities++; | |
| } | |
| // Second digit can be 1 or 7 | |
| if (($num2 == 1) || ($num2 == 7)) { | |
| $possibilities++; | |
| } | |
| // Third digit can be 1 or 4 | |
| if (($num3 == 1) || ($num1 == 4)) { | |
| $possibilities++; | |
| } | |
| // One and only one of the 3 possibilites must be true | |
| if ($possibilities == 1) { | |
| return true; | |
| } else { | |
| return false; | |
| } | |
| } | |
| /* | |
| One digit is right and in its place | |
| | 1 | 8 | 9 | | |
| */ | |
| function rule2($num1, $num2, $num3) { | |
| $possibilities = 0; | |
| // First digit is 1 | |
| if ($num1 == 1) { | |
| // Second digit cannot be 1, 8 or 9 | |
| if ($num2 != 8 && $num2 != 9 && $num2 != 1) { | |
| // Third digit cannot be 1, 8 or 9 | |
| if ($num3 != 8 && $num3 != 9 && $num3 != 1) { | |
| $possibilities++; | |
| } | |
| } | |
| } | |
| // Second digit is 8 | |
| if ($num2 == 8) { | |
| // First digit cannot be 1, 8 or 9 | |
| if ($num1 != 1 && $num1 != 8 && $num1 != 9) { | |
| // Third digit cannot be 1, 8 or 9 | |
| if ($num3 != 1 && $num3 != 8 && $num3 != 9) { | |
| $possibilities++; | |
| } | |
| } | |
| } | |
| // Third digit is 9 | |
| if ($num3 == 9) { | |
| // First digit cannot be 1, 8 or 9 | |
| if ($num1 != 1 && $num1 != 8 && $num1 != 9) { | |
| // Second digit cannot be 1, 8 or 9 | |
| if ($num2 != 1 && $num2 != 8 && $num2 != 9) { | |
| $possibilities++; | |
| } | |
| } | |
| } | |
| // One and only one of the 3 possibilites must be true | |
| if ($possibilities == 1) { | |
| return true; | |
| } else { | |
| return false; | |
| } | |
| } | |
| /* | |
| Two digits are correct but both are in the wrong place | |
| | 9 | 6 | 4 | | |
| */ | |
| function rule3($num1, $num2, $num3) { | |
| $possibilities = 0; | |
| // First digit is 6 or 4 | |
| if (($num1 == 6) || ($num1 == 4)) { | |
| $possibilities++; | |
| } | |
| // Second digit is 9 or 4 | |
| if (($num2 == 9) || ($num2 == 4)) { | |
| $possibilities++; | |
| } | |
| // Third digit is 6 or 4 | |
| if (($num3 == 9) || ($num3 == 6)) { | |
| $possibilities++; | |
| } | |
| // Two and only two of the 3 possibilites must be true | |
| if ($possibilities == 2) { | |
| return true; | |
| } else { | |
| return false; | |
| } | |
| } | |
| /* | |
| All digits are wrong | |
| | 5 | 2 | 3 | | |
| */ | |
| function rule4($num1, $num2, $num3) { | |
| // None of the digits can be a 5 | |
| if ($num1 == 5 || $num2 == 5 || $num3 == 5) { | |
| return false; | |
| } | |
| // None of the digits can be a 2 | |
| if ($num1 == 2 || $num2 == 2 || $num3 == 2) { | |
| return false; | |
| } | |
| // None of the digits can be a 3 | |
| if ($num1 == 3 || $num2 == 3 || $num3 == 3) { | |
| return false; | |
| } | |
| return true; | |
| } | |
| /* | |
| One digit is right but in the wrong place | |
| | 2 | 8 | 6 | | |
| */ | |
| function rule5($num1, $num2, $num3) { | |
| $possibilities = 0; | |
| // First digit is 8 or 6 | |
| if (($num1 == 8) || ($num1 == 6)) { | |
| $possibilities++; | |
| } | |
| // Second digit is 2 or 6 | |
| if (($num2 == 2) || ($num2 == 6)) { | |
| $possibilities++; | |
| } | |
| // Third digit is 2 or 8 | |
| if (($num3 == 2) || ($num3 == 8)) { | |
| $possibilities++; | |
| } | |
| // One and only one of the 3 possibilites must be true | |
| if ($possibilities == 1) { | |
| return true; | |
| } else { | |
| return false; | |
| } | |
| } | |
| ?> |
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