Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 70, 34, 68, 50 ]
22
[ "70-50=20", "68/34=2", "20+2=22" ]
Current State: 22:[70, 34, 68, 50], Operations: [] Exploring Operation: 70-50=20, Resulting Numbers: [34, 68, 20] Generated Node #2: [34, 68, 20] from Operation: 70-50=20 Current State: 22:[34, 68, 20], Operations: ['70-50=20'] Exploring Operation: 68/34=2, Resulting Numbers: [20, 2] Generated Node #3: [20, 2] from Operation: 68/34=2 Current State: 22:[20, 2], Operations: ['70-50=20', '68/34=2'] Exploring Operation: 20+2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 36, 49, 81, 22 ]
26
[ "36+49=85", "81-22=59", "85-59=26" ]
Current State: 26:[36, 49, 81, 22], Operations: [] Exploring Operation: 36+49=85, Resulting Numbers: [81, 22, 85] Generated Node #2: [81, 22, 85] from Operation: 36+49=85 Current State: 26:[81, 22, 85], Operations: ['36+49=85'] Exploring Operation: 81-22=59, Resulting Numbers: [85, 59] Generated Node #3: [85, 59] from Operation: 81-22=59 Current State: 26:[85, 59], Operations: ['36+49=85', '81-22=59'] Exploring Operation: 85-59=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 69, 13, 94, 83 ]
71
[ "69+13=82", "94-83=11", "82-11=71" ]
Current State: 71:[69, 13, 94, 83], Operations: [] Exploring Operation: 69+13=82, Resulting Numbers: [94, 83, 82] Generated Node #2: [94, 83, 82] from Operation: 69+13=82 Current State: 71:[94, 83, 82], Operations: ['69+13=82'] Exploring Operation: 94-83=11, Resulting Numbers: [82, 11] Generated Node #3: [82, 11] from Operation: 94-83=11 Current State: 71:[82, 11], Operations: ['69+13=82', '94-83=11'] Exploring Operation: 82-11=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 5, 92, 4, 98 ]
26
[ "5*4=20", "98-92=6", "20+6=26" ]
Current State: 26:[5, 92, 4, 98], Operations: [] Exploring Operation: 5*4=20, Resulting Numbers: [92, 98, 20] Generated Node #2: [92, 98, 20] from Operation: 5*4=20 Current State: 26:[92, 98, 20], Operations: ['5*4=20'] Exploring Operation: 98-92=6, Resulting Numbers: [20, 6] Generated Node #3: [20, 6] from Operation: 98-92=6 Current State: 26:[20, 6], Operations: ['5*4=20', '98-92=6'] Exploring Operation: 20+6=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 85, 87, 31, 26 ]
55
[ "87-85=2", "31+26=57", "57-2=55" ]
Current State: 55:[85, 87, 31, 26], Operations: [] Exploring Operation: 87-85=2, Resulting Numbers: [31, 26, 2] Generated Node #2: [31, 26, 2] from Operation: 87-85=2 Current State: 55:[31, 26, 2], Operations: ['87-85=2'] Exploring Operation: 31+26=57, Resulting Numbers: [2, 57] Generated Node #3: [2, 57] from Operation: 31+26=57 Current State: 55:[2, 57], Operations: ['87-85=2', '31+26=57'] Exploring Operation: 57-2=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 37, 19, 33, 20 ]
31
[ "37-19=18", "33-20=13", "18+13=31" ]
Current State: 31:[37, 19, 33, 20], Operations: [] Exploring Operation: 37-19=18, Resulting Numbers: [33, 20, 18] Generated Node #2: [33, 20, 18] from Operation: 37-19=18 Current State: 31:[33, 20, 18], Operations: ['37-19=18'] Exploring Operation: 33-20=13, Resulting Numbers: [18, 13] Generated Node #3: [18, 13] from Operation: 33-20=13 Current State: 31:[18, 13], Operations: ['37-19=18', '33-20=13'] Exploring Operation: 18+13=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 73, 18, 6, 48 ]
28
[ "73-48=25", "18/6=3", "25+3=28" ]
Current State: 28:[73, 18, 6, 48], Operations: [] Exploring Operation: 73-48=25, Resulting Numbers: [18, 6, 25] Generated Node #2: [18, 6, 25] from Operation: 73-48=25 Current State: 28:[18, 6, 25], Operations: ['73-48=25'] Exploring Operation: 18/6=3, Resulting Numbers: [25, 3] Generated Node #3: [25, 3] from Operation: 18/6=3 Current State: 28:[25, 3], Operations: ['73-48=25', '18/6=3'] Exploring Operation: 25+3=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 49, 61, 51, 99 ]
36
[ "61-49=12", "99-51=48", "48-12=36" ]
Current State: 36:[49, 61, 51, 99], Operations: [] Exploring Operation: 61-49=12, Resulting Numbers: [51, 99, 12] Generated Node #2: [51, 99, 12] from Operation: 61-49=12 Current State: 36:[51, 99, 12], Operations: ['61-49=12'] Exploring Operation: 99-51=48, Resulting Numbers: [12, 48] Generated Node #3: [12, 48] from Operation: 99-51=48 Current State: 36:[12, 48], Operations: ['61-49=12', '99-51=48'] Exploring Operation: 48-12=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 75, 65, 55, 78 ]
35
[ "75*78=5850", "5850/65=90", "90-55=35" ]
Current State: 35:[75, 65, 55, 78], Operations: [] Exploring Operation: 75*78=5850, Resulting Numbers: [65, 55, 5850] Generated Node #2: [65, 55, 5850] from Operation: 75*78=5850 Current State: 35:[65, 55, 5850], Operations: ['75*78=5850'] Exploring Operation: 5850/65=90, Resulting Numbers: [55, 90] Generated Node #3: [55, 90] from Operation: 5850/65=90 Current State: 35:[55, 90], Operations: ['75*78=5850', '5850/65=90'] Exploring Operation: 90-55=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 5, 33, 86, 9 ]
22
[ "33+86=119", "119-9=110", "110/5=22" ]
Current State: 22:[5, 33, 86, 9], Operations: [] Exploring Operation: 33+86=119, Resulting Numbers: [5, 9, 119] Generated Node #2: [5, 9, 119] from Operation: 33+86=119 Current State: 22:[5, 9, 119], Operations: ['33+86=119'] Exploring Operation: 119-9=110, Resulting Numbers: [5, 110] Generated Node #3: [5, 110] from Operation: 119-9=110 Current State: 22:[5, 110], Operations: ['33+86=119', '119-9=110'] Exploring Operation: 110/5=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 11, 59, 58, 29 ]
39
[ "59-11=48", "58+29=87", "87-48=39" ]
Current State: 39:[11, 59, 58, 29], Operations: [] Exploring Operation: 59-11=48, Resulting Numbers: [58, 29, 48] Generated Node #2: [58, 29, 48] from Operation: 59-11=48 Current State: 39:[58, 29, 48], Operations: ['59-11=48'] Exploring Operation: 58+29=87, Resulting Numbers: [48, 87] Generated Node #3: [48, 87] from Operation: 58+29=87 Current State: 39:[48, 87], Operations: ['59-11=48', '58+29=87'] Exploring Operation: 87-48=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 55, 99, 99, 12 ]
66
[ "55+12=67", "99/99=1", "67-1=66" ]
Current State: 66:[55, 99, 99, 12], Operations: [] Exploring Operation: 55+12=67, Resulting Numbers: [99, 99, 67] Generated Node #2: [99, 99, 67] from Operation: 55+12=67 Current State: 66:[99, 99, 67], Operations: ['55+12=67'] Exploring Operation: 99/99=1, Resulting Numbers: [67, 1] Generated Node #3: [67, 1] from Operation: 99/99=1 Current State: 66:[67, 1], Operations: ['55+12=67', '99/99=1'] Exploring Operation: 67-1=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 25, 32, 10, 32 ]
35
[ "25+32=57", "32-10=22", "57-22=35" ]
Current State: 35:[25, 32, 10, 32], Operations: [] Exploring Operation: 25+32=57, Resulting Numbers: [10, 57] Generated Node #2: [10, 57] from Operation: 25+32=57 Current State: 35:[10, 57], Operations: ['25+32=57'] Exploring Operation: 32-10=22, Resulting Numbers: [57, 22] Generated Node #3: [57, 22] from Operation: 32-10=22 Current State: 35:[57, 22], Operations: ['25+32=57', '32-10=22'] Exploring Operation: 57-22=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 39, 6, 12, 16 ]
45
[ "39+12=51", "6*16=96", "96-51=45" ]
Current State: 45:[39, 6, 12, 16], Operations: [] Exploring Operation: 39+12=51, Resulting Numbers: [6, 16, 51] Generated Node #2: [6, 16, 51] from Operation: 39+12=51 Current State: 45:[6, 16, 51], Operations: ['39+12=51'] Exploring Operation: 6*16=96, Resulting Numbers: [51, 96] Generated Node #3: [51, 96] from Operation: 6*16=96 Current State: 45:[51, 96], Operations: ['39+12=51', '6*16=96'] Exploring Operation: 96-51=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 68, 15, 29, 92 ]
10
[ "68-15=53", "92-29=63", "63-53=10" ]
Current State: 10:[68, 15, 29, 92], Operations: [] Exploring Operation: 68-15=53, Resulting Numbers: [29, 92, 53] Generated Node #2: [29, 92, 53] from Operation: 68-15=53 Current State: 10:[29, 92, 53], Operations: ['68-15=53'] Exploring Operation: 92-29=63, Resulting Numbers: [53, 63] Generated Node #3: [53, 63] from Operation: 92-29=63 Current State: 10:[53, 63], Operations: ['68-15=53', '92-29=63'] Exploring Operation: 63-53=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 6, 31, 19, 9 ]
74
[ "6*19=114", "31+9=40", "114-40=74" ]
Current State: 74:[6, 31, 19, 9], Operations: [] Exploring Operation: 6*19=114, Resulting Numbers: [31, 9, 114] Generated Node #2: [31, 9, 114] from Operation: 6*19=114 Current State: 74:[31, 9, 114], Operations: ['6*19=114'] Exploring Operation: 31+9=40, Resulting Numbers: [114, 40] Generated Node #3: [114, 40] from Operation: 31+9=40 Current State: 74:[114, 40], Operations: ['6*19=114', '31+9=40'] Exploring Operation: 114-40=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 57, 48, 5, 97 ]
83
[ "57-48=9", "97-5=92", "92-9=83" ]
Current State: 83:[57, 48, 5, 97], Operations: [] Exploring Operation: 57-48=9, Resulting Numbers: [5, 97, 9] Generated Node #2: [5, 97, 9] from Operation: 57-48=9 Current State: 83:[5, 97, 9], Operations: ['57-48=9'] Exploring Operation: 97-5=92, Resulting Numbers: [9, 92] Generated Node #3: [9, 92] from Operation: 97-5=92 Current State: 83:[9, 92], Operations: ['57-48=9', '97-5=92'] Exploring Operation: 92-9=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 63, 2, 50, 61 ]
76
[ "63+2=65", "61-50=11", "65+11=76" ]
Current State: 76:[63, 2, 50, 61], Operations: [] Exploring Operation: 63+2=65, Resulting Numbers: [50, 61, 65] Generated Node #2: [50, 61, 65] from Operation: 63+2=65 Current State: 76:[50, 61, 65], Operations: ['63+2=65'] Exploring Operation: 61-50=11, Resulting Numbers: [65, 11] Generated Node #3: [65, 11] from Operation: 61-50=11 Current State: 76:[65, 11], Operations: ['63+2=65', '61-50=11'] Exploring Operation: 65+11=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 30, 48, 54, 65 ]
68
[ "48-30=18", "54/18=3", "65+3=68" ]
Current State: 68:[30, 48, 54, 65], Operations: [] Exploring Operation: 48-30=18, Resulting Numbers: [54, 65, 18] Generated Node #2: [54, 65, 18] from Operation: 48-30=18 Current State: 68:[54, 65, 18], Operations: ['48-30=18'] Exploring Operation: 54/18=3, Resulting Numbers: [65, 3] Generated Node #3: [65, 3] from Operation: 54/18=3 Current State: 68:[65, 3], Operations: ['48-30=18', '54/18=3'] Exploring Operation: 65+3=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 73, 37, 71, 12 ]
25
[ "73+71=144", "144/12=12", "37-12=25" ]
Current State: 25:[73, 37, 71, 12], Operations: [] Exploring Operation: 73+71=144, Resulting Numbers: [37, 12, 144] Generated Node #2: [37, 12, 144] from Operation: 73+71=144 Current State: 25:[37, 12, 144], Operations: ['73+71=144'] Exploring Operation: 144/12=12, Resulting Numbers: [37, 12] Generated Node #3: [37, 12] from Operation: 144/12=12 Current State: 25:[37, 12], Operations: ['73+71=144', '144/12=12'] Exploring Operation: 37-12=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 94, 85, 29, 47 ]
54
[ "94/47=2", "85-29=56", "56-2=54" ]
Current State: 54:[94, 85, 29, 47], Operations: [] Exploring Operation: 94/47=2, Resulting Numbers: [85, 29, 2] Generated Node #2: [85, 29, 2] from Operation: 94/47=2 Current State: 54:[85, 29, 2], Operations: ['94/47=2'] Exploring Operation: 85-29=56, Resulting Numbers: [2, 56] Generated Node #3: [2, 56] from Operation: 85-29=56 Current State: 54:[2, 56], Operations: ['94/47=2', '85-29=56'] Exploring Operation: 56-2=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 52, 85, 6, 52 ]
91
[ "52+85=137", "52-6=46", "137-46=91" ]
Current State: 91:[52, 85, 6, 52], Operations: [] Exploring Operation: 52+85=137, Resulting Numbers: [6, 137] Generated Node #2: [6, 137] from Operation: 52+85=137 Current State: 91:[6, 137], Operations: ['52+85=137'] Exploring Operation: 52-6=46, Resulting Numbers: [137, 46] Generated Node #3: [137, 46] from Operation: 52-6=46 Current State: 91:[137, 46], Operations: ['52+85=137', '52-6=46'] Exploring Operation: 137-46=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 2, 62, 99, 61 ]
36
[ "2*62=124", "99+61=160", "160-124=36" ]
Current State: 36:[2, 62, 99, 61], Operations: [] Exploring Operation: 2*62=124, Resulting Numbers: [99, 61, 124] Generated Node #2: [99, 61, 124] from Operation: 2*62=124 Current State: 36:[99, 61, 124], Operations: ['2*62=124'] Exploring Operation: 99+61=160, Resulting Numbers: [124, 160] Generated Node #3: [124, 160] from Operation: 99+61=160 Current State: 36:[124, 160], Operations: ['2*62=124', '99+61=160'] Exploring Operation: 160-124=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 5, 98, 17, 75 ]
52
[ "98+17=115", "115/5=23", "75-23=52" ]
Current State: 52:[5, 98, 17, 75], Operations: [] Exploring Operation: 98+17=115, Resulting Numbers: [5, 75, 115] Generated Node #2: [5, 75, 115] from Operation: 98+17=115 Current State: 52:[5, 75, 115], Operations: ['98+17=115'] Exploring Operation: 115/5=23, Resulting Numbers: [75, 23] Generated Node #3: [75, 23] from Operation: 115/5=23 Current State: 52:[75, 23], Operations: ['98+17=115', '115/5=23'] Exploring Operation: 75-23=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 60, 49, 4, 23 ]
78
[ "49+23=72", "72/4=18", "60+18=78" ]
Current State: 78:[60, 49, 4, 23], Operations: [] Exploring Operation: 49+23=72, Resulting Numbers: [60, 4, 72] Generated Node #2: [60, 4, 72] from Operation: 49+23=72 Current State: 78:[60, 4, 72], Operations: ['49+23=72'] Exploring Operation: 72/4=18, Resulting Numbers: [60, 18] Generated Node #3: [60, 18] from Operation: 72/4=18 Current State: 78:[60, 18], Operations: ['49+23=72', '72/4=18'] Exploring Operation: 60+18=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 21, 58, 80, 28 ]
56
[ "21*80=1680", "58*28=1624", "1680-1624=56" ]
Current State: 56:[21, 58, 80, 28], Operations: [] Exploring Operation: 21*80=1680, Resulting Numbers: [58, 28, 1680] Generated Node #2: [58, 28, 1680] from Operation: 21*80=1680 Current State: 56:[58, 28, 1680], Operations: ['21*80=1680'] Exploring Operation: 58*28=1624, Resulting Numbers: [1680, 1624] Generated Node #3: [1680, 1624] from Operation: 58*28=1624 Current State: 56:[1680, 1624], Operations: ['21*80=1680', '58*28=1624'] Exploring Operation: 1680-1624=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 50, 34, 12, 72 ]
68
[ "50-34=16", "12+72=84", "84-16=68" ]
Current State: 68:[50, 34, 12, 72], Operations: [] Exploring Operation: 50-34=16, Resulting Numbers: [12, 72, 16] Generated Node #2: [12, 72, 16] from Operation: 50-34=16 Current State: 68:[12, 72, 16], Operations: ['50-34=16'] Exploring Operation: 12+72=84, Resulting Numbers: [16, 84] Generated Node #3: [16, 84] from Operation: 12+72=84 Current State: 68:[16, 84], Operations: ['50-34=16', '12+72=84'] Exploring Operation: 84-16=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 41, 30, 26, 32 ]
49
[ "30-26=4", "32/4=8", "41+8=49" ]
Current State: 49:[41, 30, 26, 32], Operations: [] Exploring Operation: 30-26=4, Resulting Numbers: [41, 32, 4] Generated Node #2: [41, 32, 4] from Operation: 30-26=4 Current State: 49:[41, 32, 4], Operations: ['30-26=4'] Exploring Operation: 32/4=8, Resulting Numbers: [41, 8] Generated Node #3: [41, 8] from Operation: 32/4=8 Current State: 49:[41, 8], Operations: ['30-26=4', '32/4=8'] Exploring Operation: 41+8=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 34, 36, 52, 1 ]
17
[ "34+36=70", "52+1=53", "70-53=17" ]
Current State: 17:[34, 36, 52, 1], Operations: [] Exploring Operation: 34+36=70, Resulting Numbers: [52, 1, 70] Generated Node #2: [52, 1, 70] from Operation: 34+36=70 Current State: 17:[52, 1, 70], Operations: ['34+36=70'] Exploring Operation: 52+1=53, Resulting Numbers: [70, 53] Generated Node #3: [70, 53] from Operation: 52+1=53 Current State: 17:[70, 53], Operations: ['34+36=70', '52+1=53'] Exploring Operation: 70-53=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 98, 68, 1, 58 ]
88
[ "98-68=30", "1*58=58", "30+58=88" ]
Current State: 88:[98, 68, 1, 58], Operations: [] Exploring Operation: 98-68=30, Resulting Numbers: [1, 58, 30] Generated Node #2: [1, 58, 30] from Operation: 98-68=30 Current State: 88:[1, 58, 30], Operations: ['98-68=30'] Exploring Operation: 1*58=58, Resulting Numbers: [30, 58] Generated Node #3: [30, 58] from Operation: 1*58=58 Current State: 88:[30, 58], Operations: ['98-68=30', '1*58=58'] Exploring Operation: 30+58=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 36, 6, 46, 3 ]
17
[ "46*3=138", "138-36=102", "102/6=17" ]
Current State: 17:[36, 6, 46, 3], Operations: [] Exploring Operation: 46*3=138, Resulting Numbers: [36, 6, 138] Generated Node #2: [36, 6, 138] from Operation: 46*3=138 Current State: 17:[36, 6, 138], Operations: ['46*3=138'] Exploring Operation: 138-36=102, Resulting Numbers: [6, 102] Generated Node #3: [6, 102] from Operation: 138-36=102 Current State: 17:[6, 102], Operations: ['46*3=138', '138-36=102'] Exploring Operation: 102/6=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 69, 46, 45, 69 ]
31
[ "46*45=2070", "69+2070=2139", "2139/69=31" ]
Current State: 31:[69, 46, 45, 69], Operations: [] Exploring Operation: 46*45=2070, Resulting Numbers: [69, 69, 2070] Generated Node #2: [69, 69, 2070] from Operation: 46*45=2070 Current State: 31:[69, 69, 2070], Operations: ['46*45=2070'] Exploring Operation: 69+2070=2139, Resulting Numbers: [2139] 2139,31 equal: Goal Reached Exploring Operation: 2139/69=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 67, 37, 70, 99 ]
12
[ "70-67=3", "37*3=111", "111-99=12" ]
Current State: 12:[67, 37, 70, 99], Operations: [] Exploring Operation: 70-67=3, Resulting Numbers: [37, 99, 3] Generated Node #2: [37, 99, 3] from Operation: 70-67=3 Current State: 12:[37, 99, 3], Operations: ['70-67=3'] Exploring Operation: 37*3=111, Resulting Numbers: [99, 111] Generated Node #3: [99, 111] from Operation: 37*3=111 Current State: 12:[99, 111], Operations: ['70-67=3', '37*3=111'] Exploring Operation: 111-99=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 96, 7, 3, 5 ]
39
[ "96-5=91", "91/7=13", "3*13=39" ]
Current State: 39:[96, 7, 3, 5], Operations: [] Exploring Operation: 96-5=91, Resulting Numbers: [7, 3, 91] Generated Node #2: [7, 3, 91] from Operation: 96-5=91 Current State: 39:[7, 3, 91], Operations: ['96-5=91'] Exploring Operation: 91/7=13, Resulting Numbers: [3, 13] Generated Node #3: [3, 13] from Operation: 91/7=13 Current State: 39:[3, 13], Operations: ['96-5=91', '91/7=13'] Exploring Operation: 3*13=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 33, 15, 46, 83 ]
11
[ "33+15=48", "83-46=37", "48-37=11" ]
Current State: 11:[33, 15, 46, 83], Operations: [] Exploring Operation: 33+15=48, Resulting Numbers: [46, 83, 48] Generated Node #2: [46, 83, 48] from Operation: 33+15=48 Current State: 11:[46, 83, 48], Operations: ['33+15=48'] Exploring Operation: 83-46=37, Resulting Numbers: [48, 37] Generated Node #3: [48, 37] from Operation: 83-46=37 Current State: 11:[48, 37], Operations: ['33+15=48', '83-46=37'] Exploring Operation: 48-37=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 48, 27, 83, 10 ]
94
[ "48-27=21", "83-10=73", "21+73=94" ]
Current State: 94:[48, 27, 83, 10], Operations: [] Exploring Operation: 48-27=21, Resulting Numbers: [83, 10, 21] Generated Node #2: [83, 10, 21] from Operation: 48-27=21 Current State: 94:[83, 10, 21], Operations: ['48-27=21'] Exploring Operation: 83-10=73, Resulting Numbers: [21, 73] Generated Node #3: [21, 73] from Operation: 83-10=73 Current State: 94:[21, 73], Operations: ['48-27=21', '83-10=73'] Exploring Operation: 21+73=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 24, 67, 20, 75 ]
17
[ "75-67=8", "24/8=3", "20-3=17" ]
Current State: 17:[24, 67, 20, 75], Operations: [] Exploring Operation: 75-67=8, Resulting Numbers: [24, 20, 8] Generated Node #2: [24, 20, 8] from Operation: 75-67=8 Current State: 17:[24, 20, 8], Operations: ['75-67=8'] Exploring Operation: 24/8=3, Resulting Numbers: [20, 3] Generated Node #3: [20, 3] from Operation: 24/8=3 Current State: 17:[20, 3], Operations: ['75-67=8', '24/8=3'] Exploring Operation: 20-3=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 17, 6, 55, 78 ]
24
[ "17*78=1326", "1326-6=1320", "1320/55=24" ]
Current State: 24:[17, 6, 55, 78], Operations: [] Exploring Operation: 17*78=1326, Resulting Numbers: [6, 55, 1326] Generated Node #2: [6, 55, 1326] from Operation: 17*78=1326 Current State: 24:[6, 55, 1326], Operations: ['17*78=1326'] Exploring Operation: 1326-6=1320, Resulting Numbers: [55, 1320] Generated Node #3: [55, 1320] from Operation: 1326-6=1320 Current State: 24:[55, 1320], Operations: ['17*78=1326', '1326-6=1320'] Exploring Operation: 1320/55=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 84, 98, 86, 20 ]
59
[ "86-84=2", "98+20=118", "118/2=59" ]
Current State: 59:[84, 98, 86, 20], Operations: [] Exploring Operation: 86-84=2, Resulting Numbers: [98, 20, 2] Generated Node #2: [98, 20, 2] from Operation: 86-84=2 Current State: 59:[98, 20, 2], Operations: ['86-84=2'] Exploring Operation: 98+20=118, Resulting Numbers: [2, 118] Generated Node #3: [2, 118] from Operation: 98+20=118 Current State: 59:[2, 118], Operations: ['86-84=2', '98+20=118'] Exploring Operation: 118/2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 66, 19, 30, 35 ]
20
[ "66+19=85", "30+35=65", "85-65=20" ]
Current State: 20:[66, 19, 30, 35], Operations: [] Exploring Operation: 66+19=85, Resulting Numbers: [30, 35, 85] Generated Node #2: [30, 35, 85] from Operation: 66+19=85 Current State: 20:[30, 35, 85], Operations: ['66+19=85'] Exploring Operation: 30+35=65, Resulting Numbers: [85, 65] Generated Node #3: [85, 65] from Operation: 30+35=65 Current State: 20:[85, 65], Operations: ['66+19=85', '30+35=65'] Exploring Operation: 85-65=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 4, 46, 43, 74 ]
73
[ "46-4=42", "74-43=31", "42+31=73" ]
Current State: 73:[4, 46, 43, 74], Operations: [] Exploring Operation: 46-4=42, Resulting Numbers: [43, 74, 42] Generated Node #2: [43, 74, 42] from Operation: 46-4=42 Current State: 73:[43, 74, 42], Operations: ['46-4=42'] Exploring Operation: 74-43=31, Resulting Numbers: [42, 31] Generated Node #3: [42, 31] from Operation: 74-43=31 Current State: 73:[42, 31], Operations: ['46-4=42', '74-43=31'] Exploring Operation: 42+31=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 28, 72, 79, 63 ]
98
[ "72-28=44", "79+63=142", "142-44=98" ]
Current State: 98:[28, 72, 79, 63], Operations: [] Exploring Operation: 72-28=44, Resulting Numbers: [79, 63, 44] Generated Node #2: [79, 63, 44] from Operation: 72-28=44 Current State: 98:[79, 63, 44], Operations: ['72-28=44'] Exploring Operation: 79+63=142, Resulting Numbers: [44, 142] Generated Node #3: [44, 142] from Operation: 79+63=142 Current State: 98:[44, 142], Operations: ['72-28=44', '79+63=142'] Exploring Operation: 142-44=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 20, 67, 65, 57 ]
75
[ "67-20=47", "65+57=122", "122-47=75" ]
Current State: 75:[20, 67, 65, 57], Operations: [] Exploring Operation: 67-20=47, Resulting Numbers: [65, 57, 47] Generated Node #2: [65, 57, 47] from Operation: 67-20=47 Current State: 75:[65, 57, 47], Operations: ['67-20=47'] Exploring Operation: 65+57=122, Resulting Numbers: [47, 122] Generated Node #3: [47, 122] from Operation: 65+57=122 Current State: 75:[47, 122], Operations: ['67-20=47', '65+57=122'] Exploring Operation: 122-47=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 29, 83, 78, 65 ]
42
[ "83-78=5", "65/5=13", "29+13=42" ]
Current State: 42:[29, 83, 78, 65], Operations: [] Exploring Operation: 83-78=5, Resulting Numbers: [29, 65, 5] Generated Node #2: [29, 65, 5] from Operation: 83-78=5 Current State: 42:[29, 65, 5], Operations: ['83-78=5'] Exploring Operation: 65/5=13, Resulting Numbers: [29, 13] Generated Node #3: [29, 13] from Operation: 65/5=13 Current State: 42:[29, 13], Operations: ['83-78=5', '65/5=13'] Exploring Operation: 29+13=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 65, 32, 10, 40 ]
83
[ "65-32=33", "10+40=50", "33+50=83" ]
Current State: 83:[65, 32, 10, 40], Operations: [] Exploring Operation: 65-32=33, Resulting Numbers: [10, 40, 33] Generated Node #2: [10, 40, 33] from Operation: 65-32=33 Current State: 83:[10, 40, 33], Operations: ['65-32=33'] Exploring Operation: 10+40=50, Resulting Numbers: [33, 50] Generated Node #3: [33, 50] from Operation: 10+40=50 Current State: 83:[33, 50], Operations: ['65-32=33', '10+40=50'] Exploring Operation: 33+50=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 13, 30, 16, 8 ]
18
[ "16-13=3", "30/3=10", "8+10=18" ]
Current State: 18:[13, 30, 16, 8], Operations: [] Exploring Operation: 16-13=3, Resulting Numbers: [30, 8, 3] Generated Node #2: [30, 8, 3] from Operation: 16-13=3 Current State: 18:[30, 8, 3], Operations: ['16-13=3'] Exploring Operation: 30/3=10, Resulting Numbers: [8, 10] Generated Node #3: [8, 10] from Operation: 30/3=10 Current State: 18:[8, 10], Operations: ['16-13=3', '30/3=10'] Exploring Operation: 8+10=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 41, 40, 28, 69 ]
96
[ "41-40=1", "28+69=97", "97-1=96" ]
Current State: 96:[41, 40, 28, 69], Operations: [] Exploring Operation: 41-40=1, Resulting Numbers: [28, 69, 1] Generated Node #2: [28, 69, 1] from Operation: 41-40=1 Current State: 96:[28, 69, 1], Operations: ['41-40=1'] Exploring Operation: 28+69=97, Resulting Numbers: [1, 97] Generated Node #3: [1, 97] from Operation: 28+69=97 Current State: 96:[1, 97], Operations: ['41-40=1', '28+69=97'] Exploring Operation: 97-1=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 49, 14, 75, 7 ]
33
[ "49-14=35", "75-7=68", "68-35=33" ]
Current State: 33:[49, 14, 75, 7], Operations: [] Exploring Operation: 49-14=35, Resulting Numbers: [75, 7, 35] Generated Node #2: [75, 7, 35] from Operation: 49-14=35 Current State: 33:[75, 7, 35], Operations: ['49-14=35'] Exploring Operation: 75-7=68, Resulting Numbers: [35, 68] Generated Node #3: [35, 68] from Operation: 75-7=68 Current State: 33:[35, 68], Operations: ['49-14=35', '75-7=68'] Exploring Operation: 68-35=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 20, 3, 66, 4 ]
11
[ "20*4=80", "3+66=69", "80-69=11" ]
Current State: 11:[20, 3, 66, 4], Operations: [] Exploring Operation: 20*4=80, Resulting Numbers: [3, 66, 80] Generated Node #2: [3, 66, 80] from Operation: 20*4=80 Current State: 11:[3, 66, 80], Operations: ['20*4=80'] Exploring Operation: 3+66=69, Resulting Numbers: [80, 69] Generated Node #3: [80, 69] from Operation: 3+66=69 Current State: 11:[80, 69], Operations: ['20*4=80', '3+66=69'] Exploring Operation: 80-69=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 65, 41, 11, 66 ]
53
[ "65-41=24", "11+66=77", "77-24=53" ]
Current State: 53:[65, 41, 11, 66], Operations: [] Exploring Operation: 65-41=24, Resulting Numbers: [11, 66, 24] Generated Node #2: [11, 66, 24] from Operation: 65-41=24 Current State: 53:[11, 66, 24], Operations: ['65-41=24'] Exploring Operation: 11+66=77, Resulting Numbers: [24, 77] Generated Node #3: [24, 77] from Operation: 11+66=77 Current State: 53:[24, 77], Operations: ['65-41=24', '11+66=77'] Exploring Operation: 77-24=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 60, 63, 21, 88 ]
14
[ "60+63=123", "21+88=109", "123-109=14" ]
Current State: 14:[60, 63, 21, 88], Operations: [] Exploring Operation: 60+63=123, Resulting Numbers: [21, 88, 123] Generated Node #2: [21, 88, 123] from Operation: 60+63=123 Current State: 14:[21, 88, 123], Operations: ['60+63=123'] Exploring Operation: 21+88=109, Resulting Numbers: [123, 109] Generated Node #3: [123, 109] from Operation: 21+88=109 Current State: 14:[123, 109], Operations: ['60+63=123', '21+88=109'] Exploring Operation: 123-109=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 90, 20, 50, 64 ]
100
[ "90*20=1800", "1800/50=36", "64+36=100" ]
Current State: 100:[90, 20, 50, 64], Operations: [] Exploring Operation: 90*20=1800, Resulting Numbers: [50, 64, 1800] Generated Node #2: [50, 64, 1800] from Operation: 90*20=1800 Current State: 100:[50, 64, 1800], Operations: ['90*20=1800'] Exploring Operation: 1800/50=36, Resulting Numbers: [64, 36] Generated Node #3: [64, 36] from Operation: 1800/50=36 Current State: 100:[64, 36], Operations: ['90*20=1800', '1800/50=36'] Exploring Operation: 64+36=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 63, 22, 97, 63 ]
22
[ "63-63=0", "97*0=0", "22+0=22" ]
Current State: 22:[63, 22, 97, 63], Operations: [] Exploring Operation: 63-63=0, Resulting Numbers: [22, 97, 0] Generated Node #2: [22, 97, 0] from Operation: 63-63=0 Current State: 22:[22, 97, 0], Operations: ['63-63=0'] Exploring Operation: 97*0=0, Resulting Numbers: [22, 0] Generated Node #3: [22, 0] from Operation: 97*0=0 Current State: 22:[22, 0], Operations: ['63-63=0', '97*0=0'] Exploring Operation: 22+0=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 42, 14, 58, 13 ]
100
[ "42+58=100", "14-13=1", "100*1=100" ]
Current State: 100:[42, 14, 58, 13], Operations: [] Exploring Operation: 42+58=100, Resulting Numbers: [14, 13, 100] Generated Node #2: [14, 13, 100] from Operation: 42+58=100 Current State: 100:[14, 13, 100], Operations: ['42+58=100'] Exploring Operation: 14-13=1, Resulting Numbers: [100, 1] Generated Node #3: [100, 1] from Operation: 14-13=1 Current State: 100:[100, 1], Operations: ['42+58=100', '14-13=1'] Exploring Operation: 100*1=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 1, 5, 75, 75 ]
25
[ "1+5=6", "75+75=150", "150/6=25" ]
Current State: 25:[1, 5, 75, 75], Operations: [] Exploring Operation: 1+5=6, Resulting Numbers: [75, 75, 6] Generated Node #2: [75, 75, 6] from Operation: 1+5=6 Current State: 25:[75, 75, 6], Operations: ['1+5=6'] Exploring Operation: 75+75=150, Resulting Numbers: [6, 150] Generated Node #3: [6, 150] from Operation: 75+75=150 Current State: 25:[6, 150], Operations: ['1+5=6', '75+75=150'] Exploring Operation: 150/6=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 64, 30, 64, 82 ]
82
[ "64-64=0", "30*0=0", "82+0=82" ]
Current State: 82:[64, 30, 64, 82], Operations: [] Exploring Operation: 64-64=0, Resulting Numbers: [30, 82, 0] Generated Node #2: [30, 82, 0] from Operation: 64-64=0 Current State: 82:[30, 82, 0], Operations: ['64-64=0'] Exploring Operation: 30*0=0, Resulting Numbers: [82, 0] Generated Node #3: [82, 0] from Operation: 30*0=0 Current State: 82:[82, 0], Operations: ['64-64=0', '30*0=0'] Exploring Operation: 82+0=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 51, 80, 5, 64 ]
55
[ "80/5=16", "64/16=4", "51+4=55" ]
Current State: 55:[51, 80, 5, 64], Operations: [] Exploring Operation: 80/5=16, Resulting Numbers: [51, 64, 16] Generated Node #2: [51, 64, 16] from Operation: 80/5=16 Current State: 55:[51, 64, 16], Operations: ['80/5=16'] Exploring Operation: 64/16=4, Resulting Numbers: [51, 4] Generated Node #3: [51, 4] from Operation: 64/16=4 Current State: 55:[51, 4], Operations: ['80/5=16', '64/16=4'] Exploring Operation: 51+4=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 59, 2, 55, 27 ]
25
[ "59-2=57", "55+27=82", "82-57=25" ]
Current State: 25:[59, 2, 55, 27], Operations: [] Exploring Operation: 59-2=57, Resulting Numbers: [55, 27, 57] Generated Node #2: [55, 27, 57] from Operation: 59-2=57 Current State: 25:[55, 27, 57], Operations: ['59-2=57'] Exploring Operation: 55+27=82, Resulting Numbers: [57, 82] Generated Node #3: [57, 82] from Operation: 55+27=82 Current State: 25:[57, 82], Operations: ['59-2=57', '55+27=82'] Exploring Operation: 82-57=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 31, 62, 41, 35 ]
87
[ "31+62=93", "41-35=6", "93-6=87" ]
Current State: 87:[31, 62, 41, 35], Operations: [] Exploring Operation: 31+62=93, Resulting Numbers: [41, 35, 93] Generated Node #2: [41, 35, 93] from Operation: 31+62=93 Current State: 87:[41, 35, 93], Operations: ['31+62=93'] Exploring Operation: 41-35=6, Resulting Numbers: [93, 6] Generated Node #3: [93, 6] from Operation: 41-35=6 Current State: 87:[93, 6], Operations: ['31+62=93', '41-35=6'] Exploring Operation: 93-6=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 74, 19, 7, 76 ]
52
[ "76-74=2", "19+7=26", "2*26=52" ]
Current State: 52:[74, 19, 7, 76], Operations: [] Exploring Operation: 76-74=2, Resulting Numbers: [19, 7, 2] Generated Node #2: [19, 7, 2] from Operation: 76-74=2 Current State: 52:[19, 7, 2], Operations: ['76-74=2'] Exploring Operation: 19+7=26, Resulting Numbers: [2, 26] Generated Node #3: [2, 26] from Operation: 19+7=26 Current State: 52:[2, 26], Operations: ['76-74=2', '19+7=26'] Exploring Operation: 2*26=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 21, 3, 85, 52 ]
32
[ "85-52=33", "33/3=11", "21+11=32" ]
Current State: 32:[21, 3, 85, 52], Operations: [] Exploring Operation: 85-52=33, Resulting Numbers: [21, 3, 33] Generated Node #2: [21, 3, 33] from Operation: 85-52=33 Current State: 32:[21, 3, 33], Operations: ['85-52=33'] Exploring Operation: 33/3=11, Resulting Numbers: [21, 11] Generated Node #3: [21, 11] from Operation: 33/3=11 Current State: 32:[21, 11], Operations: ['85-52=33', '33/3=11'] Exploring Operation: 21+11=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 62, 97, 2, 72 ]
12
[ "97-72=25", "2*25=50", "62-50=12" ]
Current State: 12:[62, 97, 2, 72], Operations: [] Exploring Operation: 97-72=25, Resulting Numbers: [62, 2, 25] Generated Node #2: [62, 2, 25] from Operation: 97-72=25 Current State: 12:[62, 2, 25], Operations: ['97-72=25'] Exploring Operation: 2*25=50, Resulting Numbers: [62, 50] Generated Node #3: [62, 50] from Operation: 2*25=50 Current State: 12:[62, 50], Operations: ['97-72=25', '2*25=50'] Exploring Operation: 62-50=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 62, 83, 72, 20 ]
53
[ "62+83=145", "72+20=92", "145-92=53" ]
Current State: 53:[62, 83, 72, 20], Operations: [] Exploring Operation: 62+83=145, Resulting Numbers: [72, 20, 145] Generated Node #2: [72, 20, 145] from Operation: 62+83=145 Current State: 53:[72, 20, 145], Operations: ['62+83=145'] Exploring Operation: 72+20=92, Resulting Numbers: [145, 92] Generated Node #3: [145, 92] from Operation: 72+20=92 Current State: 53:[145, 92], Operations: ['62+83=145', '72+20=92'] Exploring Operation: 145-92=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 60, 33, 98, 44 ]
27
[ "60-33=27", "98-44=54", "54-27=27" ]
Current State: 27:[60, 33, 98, 44], Operations: [] Exploring Operation: 60-33=27, Resulting Numbers: [98, 44, 27] Generated Node #2: [98, 44, 27] from Operation: 60-33=27 Current State: 27:[98, 44, 27], Operations: ['60-33=27'] Exploring Operation: 98-44=54, Resulting Numbers: [27, 54] Generated Node #3: [27, 54] from Operation: 98-44=54 Current State: 27:[27, 54], Operations: ['60-33=27', '98-44=54'] Exploring Operation: 54-27=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 50, 52, 80, 60 ]
38
[ "50+52=102", "80+60=140", "140-102=38" ]
Current State: 38:[50, 52, 80, 60], Operations: [] Exploring Operation: 50+52=102, Resulting Numbers: [80, 60, 102] Generated Node #2: [80, 60, 102] from Operation: 50+52=102 Current State: 38:[80, 60, 102], Operations: ['50+52=102'] Exploring Operation: 80+60=140, Resulting Numbers: [102, 140] Generated Node #3: [102, 140] from Operation: 80+60=140 Current State: 38:[102, 140], Operations: ['50+52=102', '80+60=140'] Exploring Operation: 140-102=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 52, 6, 49, 87 ]
85
[ "52-49=3", "6/3=2", "87-2=85" ]
Current State: 85:[52, 6, 49, 87], Operations: [] Exploring Operation: 52-49=3, Resulting Numbers: [6, 87, 3] Generated Node #2: [6, 87, 3] from Operation: 52-49=3 Current State: 85:[6, 87, 3], Operations: ['52-49=3'] Exploring Operation: 6/3=2, Resulting Numbers: [87, 2] Generated Node #3: [87, 2] from Operation: 6/3=2 Current State: 85:[87, 2], Operations: ['52-49=3', '6/3=2'] Exploring Operation: 87-2=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 2, 45, 41, 7 ]
51
[ "41+7=48", "2*48=96", "96-45=51" ]
Current State: 51:[2, 45, 41, 7], Operations: [] Exploring Operation: 41+7=48, Resulting Numbers: [2, 45, 48] Generated Node #2: [2, 45, 48] from Operation: 41+7=48 Current State: 51:[2, 45, 48], Operations: ['41+7=48'] Exploring Operation: 2*48=96, Resulting Numbers: [45, 96] Generated Node #3: [45, 96] from Operation: 2*48=96 Current State: 51:[45, 96], Operations: ['41+7=48', '2*48=96'] Exploring Operation: 96-45=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 80, 36, 11, 90 ]
86
[ "80-36=44", "44/11=4", "90-4=86" ]
Current State: 86:[80, 36, 11, 90], Operations: [] Exploring Operation: 80-36=44, Resulting Numbers: [11, 90, 44] Generated Node #2: [11, 90, 44] from Operation: 80-36=44 Current State: 86:[11, 90, 44], Operations: ['80-36=44'] Exploring Operation: 44/11=4, Resulting Numbers: [90, 4] Generated Node #3: [90, 4] from Operation: 44/11=4 Current State: 86:[90, 4], Operations: ['80-36=44', '44/11=4'] Exploring Operation: 90-4=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 32, 34, 66, 81 ]
17
[ "34-32=2", "81-66=15", "2+15=17" ]
Current State: 17:[32, 34, 66, 81], Operations: [] Exploring Operation: 34-32=2, Resulting Numbers: [66, 81, 2] Generated Node #2: [66, 81, 2] from Operation: 34-32=2 Current State: 17:[66, 81, 2], Operations: ['34-32=2'] Exploring Operation: 81-66=15, Resulting Numbers: [2, 15] Generated Node #3: [2, 15] from Operation: 81-66=15 Current State: 17:[2, 15], Operations: ['34-32=2', '81-66=15'] Exploring Operation: 2+15=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 17, 40, 41, 50 ]
30
[ "41-17=24", "50*24=1200", "1200/40=30" ]
Current State: 30:[17, 40, 41, 50], Operations: [] Exploring Operation: 41-17=24, Resulting Numbers: [40, 50, 24] Generated Node #2: [40, 50, 24] from Operation: 41-17=24 Current State: 30:[40, 50, 24], Operations: ['41-17=24'] Exploring Operation: 50*24=1200, Resulting Numbers: [40, 1200] Generated Node #3: [40, 1200] from Operation: 50*24=1200 Current State: 30:[40, 1200], Operations: ['41-17=24', '50*24=1200'] Exploring Operation: 1200/40=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 34, 25, 40, 41 ]
59
[ "34+25=59", "41-40=1", "59*1=59" ]
Current State: 59:[34, 25, 40, 41], Operations: [] Exploring Operation: 34+25=59, Resulting Numbers: [40, 41, 59] Generated Node #2: [40, 41, 59] from Operation: 34+25=59 Current State: 59:[40, 41, 59], Operations: ['34+25=59'] Exploring Operation: 41-40=1, Resulting Numbers: [59, 1] Generated Node #3: [59, 1] from Operation: 41-40=1 Current State: 59:[59, 1], Operations: ['34+25=59', '41-40=1'] Exploring Operation: 59*1=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 30, 33, 7, 42 ]
63
[ "33-30=3", "7*3=21", "42+21=63" ]
Current State: 63:[30, 33, 7, 42], Operations: [] Exploring Operation: 33-30=3, Resulting Numbers: [7, 42, 3] Generated Node #2: [7, 42, 3] from Operation: 33-30=3 Current State: 63:[7, 42, 3], Operations: ['33-30=3'] Exploring Operation: 7*3=21, Resulting Numbers: [42, 21] Generated Node #3: [42, 21] from Operation: 7*3=21 Current State: 63:[42, 21], Operations: ['33-30=3', '7*3=21'] Exploring Operation: 42+21=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 35, 41, 81, 35 ]
30
[ "35+41=76", "81-35=46", "76-46=30" ]
Current State: 30:[35, 41, 81, 35], Operations: [] Exploring Operation: 35+41=76, Resulting Numbers: [81, 76] Generated Node #2: [81, 76] from Operation: 35+41=76 Current State: 30:[81, 76], Operations: ['35+41=76'] Exploring Operation: 81-35=46, Resulting Numbers: [76, 46] Generated Node #3: [76, 46] from Operation: 81-35=46 Current State: 30:[76, 46], Operations: ['35+41=76', '81-35=46'] Exploring Operation: 76-46=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 85, 6, 97, 7 ]
72
[ "97-6=91", "91/7=13", "85-13=72" ]
Current State: 72:[85, 6, 97, 7], Operations: [] Exploring Operation: 97-6=91, Resulting Numbers: [85, 7, 91] Generated Node #2: [85, 7, 91] from Operation: 97-6=91 Current State: 72:[85, 7, 91], Operations: ['97-6=91'] Exploring Operation: 91/7=13, Resulting Numbers: [85, 13] Generated Node #3: [85, 13] from Operation: 91/7=13 Current State: 72:[85, 13], Operations: ['97-6=91', '91/7=13'] Exploring Operation: 85-13=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 55, 4, 11, 8 ]
56
[ "55+4=59", "11-8=3", "59-3=56" ]
Current State: 56:[55, 4, 11, 8], Operations: [] Exploring Operation: 55+4=59, Resulting Numbers: [11, 8, 59] Generated Node #2: [11, 8, 59] from Operation: 55+4=59 Current State: 56:[11, 8, 59], Operations: ['55+4=59'] Exploring Operation: 11-8=3, Resulting Numbers: [59, 3] Generated Node #3: [59, 3] from Operation: 11-8=3 Current State: 56:[59, 3], Operations: ['55+4=59', '11-8=3'] Exploring Operation: 59-3=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 4, 79, 45, 36 ]
84
[ "79-4=75", "45-36=9", "75+9=84" ]
Current State: 84:[4, 79, 45, 36], Operations: [] Exploring Operation: 79-4=75, Resulting Numbers: [45, 36, 75] Generated Node #2: [45, 36, 75] from Operation: 79-4=75 Current State: 84:[45, 36, 75], Operations: ['79-4=75'] Exploring Operation: 45-36=9, Resulting Numbers: [75, 9] Generated Node #3: [75, 9] from Operation: 45-36=9 Current State: 84:[75, 9], Operations: ['79-4=75', '45-36=9'] Exploring Operation: 75+9=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 28, 65, 83, 47 ]
37
[ "28+65=93", "83+47=130", "130-93=37" ]
Current State: 37:[28, 65, 83, 47], Operations: [] Exploring Operation: 28+65=93, Resulting Numbers: [83, 47, 93] Generated Node #2: [83, 47, 93] from Operation: 28+65=93 Current State: 37:[83, 47, 93], Operations: ['28+65=93'] Exploring Operation: 83+47=130, Resulting Numbers: [93, 130] Generated Node #3: [93, 130] from Operation: 83+47=130 Current State: 37:[93, 130], Operations: ['28+65=93', '83+47=130'] Exploring Operation: 130-93=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 16, 58, 13, 17 ]
19
[ "16+13=29", "58/29=2", "17+2=19" ]
Current State: 19:[16, 58, 13, 17], Operations: [] Exploring Operation: 16+13=29, Resulting Numbers: [58, 17, 29] Generated Node #2: [58, 17, 29] from Operation: 16+13=29 Current State: 19:[58, 17, 29], Operations: ['16+13=29'] Exploring Operation: 58/29=2, Resulting Numbers: [17, 2] Generated Node #3: [17, 2] from Operation: 58/29=2 Current State: 19:[17, 2], Operations: ['16+13=29', '58/29=2'] Exploring Operation: 17+2=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 81, 96, 58, 22 ]
95
[ "96-81=15", "58+22=80", "15+80=95" ]
Current State: 95:[81, 96, 58, 22], Operations: [] Exploring Operation: 96-81=15, Resulting Numbers: [58, 22, 15] Generated Node #2: [58, 22, 15] from Operation: 96-81=15 Current State: 95:[58, 22, 15], Operations: ['96-81=15'] Exploring Operation: 58+22=80, Resulting Numbers: [15, 80] Generated Node #3: [15, 80] from Operation: 58+22=80 Current State: 95:[15, 80], Operations: ['96-81=15', '58+22=80'] Exploring Operation: 15+80=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 33, 4, 98, 54 ]
81
[ "33+4=37", "98-54=44", "37+44=81" ]
Current State: 81:[33, 4, 98, 54], Operations: [] Exploring Operation: 33+4=37, Resulting Numbers: [98, 54, 37] Generated Node #2: [98, 54, 37] from Operation: 33+4=37 Current State: 81:[98, 54, 37], Operations: ['33+4=37'] Exploring Operation: 98-54=44, Resulting Numbers: [37, 44] Generated Node #3: [37, 44] from Operation: 98-54=44 Current State: 81:[37, 44], Operations: ['33+4=37', '98-54=44'] Exploring Operation: 37+44=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 2, 69, 46, 32 ]
57
[ "2+69=71", "46-32=14", "71-14=57" ]
Current State: 57:[2, 69, 46, 32], Operations: [] Exploring Operation: 2+69=71, Resulting Numbers: [46, 32, 71] Generated Node #2: [46, 32, 71] from Operation: 2+69=71 Current State: 57:[46, 32, 71], Operations: ['2+69=71'] Exploring Operation: 46-32=14, Resulting Numbers: [71, 14] Generated Node #3: [71, 14] from Operation: 46-32=14 Current State: 57:[71, 14], Operations: ['2+69=71', '46-32=14'] Exploring Operation: 71-14=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 60, 11, 8, 7 ]
67
[ "60*8=480", "480-11=469", "469/7=67" ]
Current State: 67:[60, 11, 8, 7], Operations: [] Exploring Operation: 60*8=480, Resulting Numbers: [11, 7, 480] Generated Node #2: [11, 7, 480] from Operation: 60*8=480 Current State: 67:[11, 7, 480], Operations: ['60*8=480'] Exploring Operation: 480-11=469, Resulting Numbers: [7, 469] Generated Node #3: [7, 469] from Operation: 480-11=469 Current State: 67:[7, 469], Operations: ['60*8=480', '480-11=469'] Exploring Operation: 469/7=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 11, 32, 6, 71 ]
55
[ "32-11=21", "6*21=126", "126-71=55" ]
Current State: 55:[11, 32, 6, 71], Operations: [] Exploring Operation: 32-11=21, Resulting Numbers: [6, 71, 21] Generated Node #2: [6, 71, 21] from Operation: 32-11=21 Current State: 55:[6, 71, 21], Operations: ['32-11=21'] Exploring Operation: 6*21=126, Resulting Numbers: [71, 126] Generated Node #3: [71, 126] from Operation: 6*21=126 Current State: 55:[71, 126], Operations: ['32-11=21', '6*21=126'] Exploring Operation: 126-71=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 20, 79, 51, 23 ]
40
[ "79+23=102", "20*102=2040", "2040/51=40" ]
Current State: 40:[20, 79, 51, 23], Operations: [] Exploring Operation: 79+23=102, Resulting Numbers: [20, 51, 102] Generated Node #2: [20, 51, 102] from Operation: 79+23=102 Current State: 40:[20, 51, 102], Operations: ['79+23=102'] Exploring Operation: 20*102=2040, Resulting Numbers: [51, 2040] Generated Node #3: [51, 2040] from Operation: 20*102=2040 Current State: 40:[51, 2040], Operations: ['79+23=102', '20*102=2040'] Exploring Operation: 2040/51=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 54, 4, 3, 82 ]
100
[ "54+3=57", "82-57=25", "4*25=100" ]
Current State: 100:[54, 4, 3, 82], Operations: [] Exploring Operation: 54+3=57, Resulting Numbers: [4, 82, 57] Generated Node #2: [4, 82, 57] from Operation: 54+3=57 Current State: 100:[4, 82, 57], Operations: ['54+3=57'] Exploring Operation: 82-57=25, Resulting Numbers: [4, 25] Generated Node #3: [4, 25] from Operation: 82-57=25 Current State: 100:[4, 25], Operations: ['54+3=57', '82-57=25'] Exploring Operation: 4*25=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 9, 3, 23, 34 ]
70
[ "9+23=32", "3*34=102", "102-32=70" ]
Current State: 70:[9, 3, 23, 34], Operations: [] Exploring Operation: 9+23=32, Resulting Numbers: [3, 34, 32] Generated Node #2: [3, 34, 32] from Operation: 9+23=32 Current State: 70:[3, 34, 32], Operations: ['9+23=32'] Exploring Operation: 3*34=102, Resulting Numbers: [32, 102] Generated Node #3: [32, 102] from Operation: 3*34=102 Current State: 70:[32, 102], Operations: ['9+23=32', '3*34=102'] Exploring Operation: 102-32=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 7, 90, 41, 87 ]
62
[ "90-87=3", "7*3=21", "41+21=62" ]
Current State: 62:[7, 90, 41, 87], Operations: [] Exploring Operation: 90-87=3, Resulting Numbers: [7, 41, 3] Generated Node #2: [7, 41, 3] from Operation: 90-87=3 Current State: 62:[7, 41, 3], Operations: ['90-87=3'] Exploring Operation: 7*3=21, Resulting Numbers: [41, 21] Generated Node #3: [41, 21] from Operation: 7*3=21 Current State: 62:[41, 21], Operations: ['90-87=3', '7*3=21'] Exploring Operation: 41+21=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 6, 78, 18, 24 ]
20
[ "78-6=72", "72/18=4", "24-4=20" ]
Current State: 20:[6, 78, 18, 24], Operations: [] Exploring Operation: 78-6=72, Resulting Numbers: [18, 24, 72] Generated Node #2: [18, 24, 72] from Operation: 78-6=72 Current State: 20:[18, 24, 72], Operations: ['78-6=72'] Exploring Operation: 72/18=4, Resulting Numbers: [24, 4] Generated Node #3: [24, 4] from Operation: 72/18=4 Current State: 20:[24, 4], Operations: ['78-6=72', '72/18=4'] Exploring Operation: 24-4=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 40, 28, 16, 77 ]
42
[ "28+77=105", "16*105=1680", "1680/40=42" ]
Current State: 42:[40, 28, 16, 77], Operations: [] Exploring Operation: 28+77=105, Resulting Numbers: [40, 16, 105] Generated Node #2: [40, 16, 105] from Operation: 28+77=105 Current State: 42:[40, 16, 105], Operations: ['28+77=105'] Exploring Operation: 16*105=1680, Resulting Numbers: [40, 1680] Generated Node #3: [40, 1680] from Operation: 16*105=1680 Current State: 42:[40, 1680], Operations: ['28+77=105', '16*105=1680'] Exploring Operation: 1680/40=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 31, 77, 38, 31 ]
77
[ "31-31=0", "38*0=0", "77+0=77" ]
Current State: 77:[31, 77, 38, 31], Operations: [] Exploring Operation: 31-31=0, Resulting Numbers: [77, 38, 0] Generated Node #2: [77, 38, 0] from Operation: 31-31=0 Current State: 77:[77, 38, 0], Operations: ['31-31=0'] Exploring Operation: 38*0=0, Resulting Numbers: [77, 0] Generated Node #3: [77, 0] from Operation: 38*0=0 Current State: 77:[77, 0], Operations: ['31-31=0', '38*0=0'] Exploring Operation: 77+0=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 50, 88, 72, 31 ]
27
[ "72-50=22", "88/22=4", "31-4=27" ]
Current State: 27:[50, 88, 72, 31], Operations: [] Exploring Operation: 72-50=22, Resulting Numbers: [88, 31, 22] Generated Node #2: [88, 31, 22] from Operation: 72-50=22 Current State: 27:[88, 31, 22], Operations: ['72-50=22'] Exploring Operation: 88/22=4, Resulting Numbers: [31, 4] Generated Node #3: [31, 4] from Operation: 88/22=4 Current State: 27:[31, 4], Operations: ['72-50=22', '88/22=4'] Exploring Operation: 31-4=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 31, 20, 79, 62 ]
97
[ "62/31=2", "20+79=99", "99-2=97" ]
Current State: 97:[31, 20, 79, 62], Operations: [] Exploring Operation: 62/31=2, Resulting Numbers: [20, 79, 2] Generated Node #2: [20, 79, 2] from Operation: 62/31=2 Current State: 97:[20, 79, 2], Operations: ['62/31=2'] Exploring Operation: 20+79=99, Resulting Numbers: [2, 99] Generated Node #3: [2, 99] from Operation: 20+79=99 Current State: 97:[2, 99], Operations: ['62/31=2', '20+79=99'] Exploring Operation: 99-2=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 6, 31, 99, 27 ]
81
[ "99-6=93", "93/31=3", "27*3=81" ]
Current State: 81:[6, 31, 99, 27], Operations: [] Exploring Operation: 99-6=93, Resulting Numbers: [31, 27, 93] Generated Node #2: [31, 27, 93] from Operation: 99-6=93 Current State: 81:[31, 27, 93], Operations: ['99-6=93'] Exploring Operation: 93/31=3, Resulting Numbers: [27, 3] Generated Node #3: [27, 3] from Operation: 93/31=3 Current State: 81:[27, 3], Operations: ['99-6=93', '93/31=3'] Exploring Operation: 27*3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 1, 13, 46, 65 ]
32
[ "1*13=13", "65-46=19", "13+19=32" ]
Current State: 32:[1, 13, 46, 65], Operations: [] Exploring Operation: 1*13=13, Resulting Numbers: [46, 65, 13] Generated Node #2: [46, 65, 13] from Operation: 1*13=13 Current State: 32:[46, 65, 13], Operations: ['1*13=13'] Exploring Operation: 65-46=19, Resulting Numbers: [13, 19] Generated Node #3: [13, 19] from Operation: 65-46=19 Current State: 32:[13, 19], Operations: ['1*13=13', '65-46=19'] Exploring Operation: 13+19=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 89, 78, 16, 10 ]
17
[ "89-78=11", "16-10=6", "11+6=17" ]
Current State: 17:[89, 78, 16, 10], Operations: [] Exploring Operation: 89-78=11, Resulting Numbers: [16, 10, 11] Generated Node #2: [16, 10, 11] from Operation: 89-78=11 Current State: 17:[16, 10, 11], Operations: ['89-78=11'] Exploring Operation: 16-10=6, Resulting Numbers: [11, 6] Generated Node #3: [11, 6] from Operation: 16-10=6 Current State: 17:[11, 6], Operations: ['89-78=11', '16-10=6'] Exploring Operation: 11+6=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 3, 4, 1, 32 ]
41
[ "4-1=3", "3*3=9", "32+9=41" ]
Current State: 41:[3, 4, 1, 32], Operations: [] Exploring Operation: 4-1=3, Resulting Numbers: [3, 32, 3] Generated Node #2: [3, 32, 3] from Operation: 4-1=3 Current State: 41:[3, 32, 3], Operations: ['4-1=3'] Exploring Operation: 3*3=9, Resulting Numbers: [32, 9] Generated Node #3: [32, 9] from Operation: 3*3=9 Current State: 41:[32, 9], Operations: ['4-1=3', '3*3=9'] Exploring Operation: 32+9=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 3, 71, 15, 1 ]
83
[ "71-3=68", "15*1=15", "68+15=83" ]
Current State: 83:[3, 71, 15, 1], Operations: [] Exploring Operation: 71-3=68, Resulting Numbers: [15, 1, 68] Generated Node #2: [15, 1, 68] from Operation: 71-3=68 Current State: 83:[15, 1, 68], Operations: ['71-3=68'] Exploring Operation: 15*1=15, Resulting Numbers: [68, 15] Generated Node #3: [68, 15] from Operation: 15*1=15 Current State: 83:[68, 15], Operations: ['71-3=68', '15*1=15'] Exploring Operation: 68+15=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 85, 75, 61, 19 ]
17
[ "75-61=14", "19-14=5", "85/5=17" ]
Current State: 17:[85, 75, 61, 19], Operations: [] Exploring Operation: 75-61=14, Resulting Numbers: [85, 19, 14] Generated Node #2: [85, 19, 14] from Operation: 75-61=14 Current State: 17:[85, 19, 14], Operations: ['75-61=14'] Exploring Operation: 19-14=5, Resulting Numbers: [85, 5] Generated Node #3: [85, 5] from Operation: 19-14=5 Current State: 17:[85, 5], Operations: ['75-61=14', '19-14=5'] Exploring Operation: 85/5=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 17, 72, 91, 72 ]
70
[ "17+72=89", "91-72=19", "89-19=70" ]
Current State: 70:[17, 72, 91, 72], Operations: [] Exploring Operation: 17+72=89, Resulting Numbers: [91, 89] Generated Node #2: [91, 89] from Operation: 17+72=89 Current State: 70:[91, 89], Operations: ['17+72=89'] Exploring Operation: 91-72=19, Resulting Numbers: [89, 19] Generated Node #3: [89, 19] from Operation: 91-72=19 Current State: 70:[89, 19], Operations: ['17+72=89', '91-72=19'] Exploring Operation: 89-19=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 83, 90, 40, 30 ]
46
[ "83-40=43", "90/30=3", "43+3=46" ]
Current State: 46:[83, 90, 40, 30], Operations: [] Exploring Operation: 83-40=43, Resulting Numbers: [90, 30, 43] Generated Node #2: [90, 30, 43] from Operation: 83-40=43 Current State: 46:[90, 30, 43], Operations: ['83-40=43'] Exploring Operation: 90/30=3, Resulting Numbers: [43, 3] Generated Node #3: [43, 3] from Operation: 90/30=3 Current State: 46:[43, 3], Operations: ['83-40=43', '90/30=3'] Exploring Operation: 43+3=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4