Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 63, 19, 61, 55 ]
10
[ "63-55=8", "19+61=80", "80/8=10" ]
Current State: 10:[63, 19, 61, 55], Operations: [] Exploring Operation: 63-55=8, Resulting Numbers: [19, 61, 8] Generated Node #2: [19, 61, 8] from Operation: 63-55=8 Current State: 10:[19, 61, 8], Operations: ['63-55=8'] Exploring Operation: 19+61=80, Resulting Numbers: [8, 80] Generated Node #3: [8, 80] from Operation: 19+61=80 Current State: 10:[8, 80], Operations: ['63-55=8', '19+61=80'] Exploring Operation: 80/8=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 34, 37, 90, 51 ]
81
[ "37-34=3", "90/3=30", "51+30=81" ]
Current State: 81:[34, 37, 90, 51], Operations: [] Exploring Operation: 37-34=3, Resulting Numbers: [90, 51, 3] Generated Node #2: [90, 51, 3] from Operation: 37-34=3 Current State: 81:[90, 51, 3], Operations: ['37-34=3'] Exploring Operation: 90/3=30, Resulting Numbers: [51, 30] Generated Node #3: [51, 30] from Operation: 90/3=30 Current State: 81:[51, 30], Operations: ['37-34=3', '90/3=30'] Exploring Operation: 51+30=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 65, 8, 26, 43 ]
40
[ "65-8=57", "43-26=17", "57-17=40" ]
Current State: 40:[65, 8, 26, 43], Operations: [] Exploring Operation: 65-8=57, Resulting Numbers: [26, 43, 57] Generated Node #2: [26, 43, 57] from Operation: 65-8=57 Current State: 40:[26, 43, 57], Operations: ['65-8=57'] Exploring Operation: 43-26=17, Resulting Numbers: [57, 17] Generated Node #3: [57, 17] from Operation: 43-26=17 Current State: 40:[57, 17], Operations: ['65-8=57', '43-26=17'] Exploring Operation: 57-17=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 21, 85, 18, 1 ]
81
[ "85-21=64", "18-1=17", "64+17=81" ]
Current State: 81:[21, 85, 18, 1], Operations: [] Exploring Operation: 85-21=64, Resulting Numbers: [18, 1, 64] Generated Node #2: [18, 1, 64] from Operation: 85-21=64 Current State: 81:[18, 1, 64], Operations: ['85-21=64'] Exploring Operation: 18-1=17, Resulting Numbers: [64, 17] Generated Node #3: [64, 17] from Operation: 18-1=17 Current State: 81:[64, 17], Operations: ['85-21=64', '18-1=17'] Exploring Operation: 64+17=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 55, 98, 6, 78 ]
76
[ "55-6=49", "98/49=2", "78-2=76" ]
Current State: 76:[55, 98, 6, 78], Operations: [] Exploring Operation: 55-6=49, Resulting Numbers: [98, 78, 49] Generated Node #2: [98, 78, 49] from Operation: 55-6=49 Current State: 76:[98, 78, 49], Operations: ['55-6=49'] Exploring Operation: 98/49=2, Resulting Numbers: [78, 2] Generated Node #3: [78, 2] from Operation: 98/49=2 Current State: 76:[78, 2], Operations: ['55-6=49', '98/49=2'] Exploring Operation: 78-2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 20, 55, 45, 76 ]
74
[ "55-45=10", "20/10=2", "76-2=74" ]
Current State: 74:[20, 55, 45, 76], Operations: [] Exploring Operation: 55-45=10, Resulting Numbers: [20, 76, 10] Generated Node #2: [20, 76, 10] from Operation: 55-45=10 Current State: 74:[20, 76, 10], Operations: ['55-45=10'] Exploring Operation: 20/10=2, Resulting Numbers: [76, 2] Generated Node #3: [76, 2] from Operation: 20/10=2 Current State: 74:[76, 2], Operations: ['55-45=10', '20/10=2'] Exploring Operation: 76-2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 96, 48, 69, 80 ]
99
[ "96+69=165", "48*165=7920", "7920/80=99" ]
Current State: 99:[96, 48, 69, 80], Operations: [] Exploring Operation: 96+69=165, Resulting Numbers: [48, 80, 165] Generated Node #2: [48, 80, 165] from Operation: 96+69=165 Current State: 99:[48, 80, 165], Operations: ['96+69=165'] Exploring Operation: 48*165=7920, Resulting Numbers: [80, 7920] Generated Node #3: [80, 7920] from Operation: 48*165=7920 Current State: 99:[80, 7920], Operations: ['96+69=165', '48*165=7920'] Exploring Operation: 7920/80=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 91, 7, 16, 35 ]
56
[ "91-35=56", "7*16=112", "112-56=56" ]
Current State: 56:[91, 7, 16, 35], Operations: [] Exploring Operation: 91-35=56, Resulting Numbers: [7, 16, 56] Generated Node #2: [7, 16, 56] from Operation: 91-35=56 Current State: 56:[7, 16, 56], Operations: ['91-35=56'] Exploring Operation: 7*16=112, Resulting Numbers: [56, 112] Generated Node #3: [56, 112] from Operation: 7*16=112 Current State: 56:[56, 112], Operations: ['91-35=56', '7*16=112'] Exploring Operation: 112-56=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 62, 46, 2, 96 ]
33
[ "62+96=158", "158/2=79", "79-46=33" ]
Current State: 33:[62, 46, 2, 96], Operations: [] Exploring Operation: 62+96=158, Resulting Numbers: [46, 2, 158] Generated Node #2: [46, 2, 158] from Operation: 62+96=158 Current State: 33:[46, 2, 158], Operations: ['62+96=158'] Exploring Operation: 158/2=79, Resulting Numbers: [46, 79] Generated Node #3: [46, 79] from Operation: 158/2=79 Current State: 33:[46, 79], Operations: ['62+96=158', '158/2=79'] Exploring Operation: 79-46=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 12, 60, 4, 61 ]
49
[ "60-12=48", "48/4=12", "61-12=49" ]
Current State: 49:[12, 60, 4, 61], Operations: [] Exploring Operation: 60-12=48, Resulting Numbers: [4, 61, 48] Generated Node #2: [4, 61, 48] from Operation: 60-12=48 Current State: 49:[4, 61, 48], Operations: ['60-12=48'] Exploring Operation: 48/4=12, Resulting Numbers: [61, 12] Generated Node #3: [61, 12] from Operation: 48/4=12 Current State: 49:[61, 12], Operations: ['60-12=48', '48/4=12'] Exploring Operation: 61-12=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 42, 67, 54, 93 ]
14
[ "67-42=25", "93-54=39", "39-25=14" ]
Current State: 14:[42, 67, 54, 93], Operations: [] Exploring Operation: 67-42=25, Resulting Numbers: [54, 93, 25] Generated Node #2: [54, 93, 25] from Operation: 67-42=25 Current State: 14:[54, 93, 25], Operations: ['67-42=25'] Exploring Operation: 93-54=39, Resulting Numbers: [25, 39] Generated Node #3: [25, 39] from Operation: 93-54=39 Current State: 14:[25, 39], Operations: ['67-42=25', '93-54=39'] Exploring Operation: 39-25=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 16, 43, 22, 66 ]
55
[ "43*22=946", "946-66=880", "880/16=55" ]
Current State: 55:[16, 43, 22, 66], Operations: [] Exploring Operation: 43*22=946, Resulting Numbers: [16, 66, 946] Generated Node #2: [16, 66, 946] from Operation: 43*22=946 Current State: 55:[16, 66, 946], Operations: ['43*22=946'] Exploring Operation: 946-66=880, Resulting Numbers: [16, 880] Generated Node #3: [16, 880] from Operation: 946-66=880 Current State: 55:[16, 880], Operations: ['43*22=946', '946-66=880'] Exploring Operation: 880/16=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 74, 57, 24, 68 ]
96
[ "74-57=17", "24*68=1632", "1632/17=96" ]
Current State: 96:[74, 57, 24, 68], Operations: [] Exploring Operation: 74-57=17, Resulting Numbers: [24, 68, 17] Generated Node #2: [24, 68, 17] from Operation: 74-57=17 Current State: 96:[24, 68, 17], Operations: ['74-57=17'] Exploring Operation: 24*68=1632, Resulting Numbers: [17, 1632] Generated Node #3: [17, 1632] from Operation: 24*68=1632 Current State: 96:[17, 1632], Operations: ['74-57=17', '24*68=1632'] Exploring Operation: 1632/17=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 79, 82, 81, 38 ]
41
[ "79-38=41", "82-81=1", "41*1=41" ]
Current State: 41:[79, 82, 81, 38], Operations: [] Exploring Operation: 79-38=41, Resulting Numbers: [82, 81, 41] Generated Node #2: [82, 81, 41] from Operation: 79-38=41 Current State: 41:[82, 81, 41], Operations: ['79-38=41'] Exploring Operation: 82-81=1, Resulting Numbers: [41, 1] Generated Node #3: [41, 1] from Operation: 82-81=1 Current State: 41:[41, 1], Operations: ['79-38=41', '82-81=1'] Exploring Operation: 41*1=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 34, 49, 94, 98 ]
58
[ "94-34=60", "98/49=2", "60-2=58" ]
Current State: 58:[34, 49, 94, 98], Operations: [] Exploring Operation: 94-34=60, Resulting Numbers: [49, 98, 60] Generated Node #2: [49, 98, 60] from Operation: 94-34=60 Current State: 58:[49, 98, 60], Operations: ['94-34=60'] Exploring Operation: 98/49=2, Resulting Numbers: [60, 2] Generated Node #3: [60, 2] from Operation: 98/49=2 Current State: 58:[60, 2], Operations: ['94-34=60', '98/49=2'] Exploring Operation: 60-2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 24, 58, 38, 37 ]
14
[ "24*58=1392", "38*37=1406", "1406-1392=14" ]
Current State: 14:[24, 58, 38, 37], Operations: [] Exploring Operation: 24*58=1392, Resulting Numbers: [38, 37, 1392] Generated Node #2: [38, 37, 1392] from Operation: 24*58=1392 Current State: 14:[38, 37, 1392], Operations: ['24*58=1392'] Exploring Operation: 38*37=1406, Resulting Numbers: [1392, 1406] Generated Node #3: [1392, 1406] from Operation: 38*37=1406 Current State: 14:[1392, 1406], Operations: ['24*58=1392', '38*37=1406'] Exploring Operation: 1406-1392=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 2, 26, 84, 78 ]
83
[ "2+84=86", "78/26=3", "86-3=83" ]
Current State: 83:[2, 26, 84, 78], Operations: [] Exploring Operation: 2+84=86, Resulting Numbers: [26, 78, 86] Generated Node #2: [26, 78, 86] from Operation: 2+84=86 Current State: 83:[26, 78, 86], Operations: ['2+84=86'] Exploring Operation: 78/26=3, Resulting Numbers: [86, 3] Generated Node #3: [86, 3] from Operation: 78/26=3 Current State: 83:[86, 3], Operations: ['2+84=86', '78/26=3'] Exploring Operation: 86-3=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 36, 79, 50, 23 ]
16
[ "79-36=43", "50-23=27", "43-27=16" ]
Current State: 16:[36, 79, 50, 23], Operations: [] Exploring Operation: 79-36=43, Resulting Numbers: [50, 23, 43] Generated Node #2: [50, 23, 43] from Operation: 79-36=43 Current State: 16:[50, 23, 43], Operations: ['79-36=43'] Exploring Operation: 50-23=27, Resulting Numbers: [43, 27] Generated Node #3: [43, 27] from Operation: 50-23=27 Current State: 16:[43, 27], Operations: ['79-36=43', '50-23=27'] Exploring Operation: 43-27=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 18, 4, 98, 99 ]
21
[ "18+4=22", "99-98=1", "22-1=21" ]
Current State: 21:[18, 4, 98, 99], Operations: [] Exploring Operation: 18+4=22, Resulting Numbers: [98, 99, 22] Generated Node #2: [98, 99, 22] from Operation: 18+4=22 Current State: 21:[98, 99, 22], Operations: ['18+4=22'] Exploring Operation: 99-98=1, Resulting Numbers: [22, 1] Generated Node #3: [22, 1] from Operation: 99-98=1 Current State: 21:[22, 1], Operations: ['18+4=22', '99-98=1'] Exploring Operation: 22-1=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 15, 79, 5, 85 ]
47
[ "79-15=64", "85/5=17", "64-17=47" ]
Current State: 47:[15, 79, 5, 85], Operations: [] Exploring Operation: 79-15=64, Resulting Numbers: [5, 85, 64] Generated Node #2: [5, 85, 64] from Operation: 79-15=64 Current State: 47:[5, 85, 64], Operations: ['79-15=64'] Exploring Operation: 85/5=17, Resulting Numbers: [64, 17] Generated Node #3: [64, 17] from Operation: 85/5=17 Current State: 47:[64, 17], Operations: ['79-15=64', '85/5=17'] Exploring Operation: 64-17=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 40, 7, 58, 26 ]
13
[ "40*7=280", "58+280=338", "338/26=13" ]
Current State: 13:[40, 7, 58, 26], Operations: [] Exploring Operation: 40*7=280, Resulting Numbers: [58, 26, 280] Generated Node #2: [58, 26, 280] from Operation: 40*7=280 Current State: 13:[58, 26, 280], Operations: ['40*7=280'] Exploring Operation: 58+280=338, Resulting Numbers: [26, 338] Generated Node #3: [26, 338] from Operation: 58+280=338 Current State: 13:[26, 338], Operations: ['40*7=280', '58+280=338'] Exploring Operation: 338/26=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 45, 57, 4, 89 ]
73
[ "57-45=12", "89-4=85", "85-12=73" ]
Current State: 73:[45, 57, 4, 89], Operations: [] Exploring Operation: 57-45=12, Resulting Numbers: [4, 89, 12] Generated Node #2: [4, 89, 12] from Operation: 57-45=12 Current State: 73:[4, 89, 12], Operations: ['57-45=12'] Exploring Operation: 89-4=85, Resulting Numbers: [12, 85] Generated Node #3: [12, 85] from Operation: 89-4=85 Current State: 73:[12, 85], Operations: ['57-45=12', '89-4=85'] Exploring Operation: 85-12=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 11, 70, 4, 1 ]
25
[ "11*4=44", "70-1=69", "69-44=25" ]
Current State: 25:[11, 70, 4, 1], Operations: [] Exploring Operation: 11*4=44, Resulting Numbers: [70, 1, 44] Generated Node #2: [70, 1, 44] from Operation: 11*4=44 Current State: 25:[70, 1, 44], Operations: ['11*4=44'] Exploring Operation: 70-1=69, Resulting Numbers: [44, 69] Generated Node #3: [44, 69] from Operation: 70-1=69 Current State: 25:[44, 69], Operations: ['11*4=44', '70-1=69'] Exploring Operation: 69-44=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 90, 5, 37, 16 ]
79
[ "90+16=106", "5*37=185", "185-106=79" ]
Current State: 79:[90, 5, 37, 16], Operations: [] Exploring Operation: 90+16=106, Resulting Numbers: [5, 37, 106] Generated Node #2: [5, 37, 106] from Operation: 90+16=106 Current State: 79:[5, 37, 106], Operations: ['90+16=106'] Exploring Operation: 5*37=185, Resulting Numbers: [106, 185] Generated Node #3: [106, 185] from Operation: 5*37=185 Current State: 79:[106, 185], Operations: ['90+16=106', '5*37=185'] Exploring Operation: 185-106=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 93, 8, 35, 7 ]
43
[ "93-8=85", "35+7=42", "85-42=43" ]
Current State: 43:[93, 8, 35, 7], Operations: [] Exploring Operation: 93-8=85, Resulting Numbers: [35, 7, 85] Generated Node #2: [35, 7, 85] from Operation: 93-8=85 Current State: 43:[35, 7, 85], Operations: ['93-8=85'] Exploring Operation: 35+7=42, Resulting Numbers: [85, 42] Generated Node #3: [85, 42] from Operation: 35+7=42 Current State: 43:[85, 42], Operations: ['93-8=85', '35+7=42'] Exploring Operation: 85-42=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 40, 39, 61, 86 ]
68
[ "40+39=79", "61+86=147", "147-79=68" ]
Current State: 68:[40, 39, 61, 86], Operations: [] Exploring Operation: 40+39=79, Resulting Numbers: [61, 86, 79] Generated Node #2: [61, 86, 79] from Operation: 40+39=79 Current State: 68:[61, 86, 79], Operations: ['40+39=79'] Exploring Operation: 61+86=147, Resulting Numbers: [79, 147] Generated Node #3: [79, 147] from Operation: 61+86=147 Current State: 68:[79, 147], Operations: ['40+39=79', '61+86=147'] Exploring Operation: 147-79=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 20, 38, 26, 73 ]
29
[ "38-20=18", "73-26=47", "47-18=29" ]
Current State: 29:[20, 38, 26, 73], Operations: [] Exploring Operation: 38-20=18, Resulting Numbers: [26, 73, 18] Generated Node #2: [26, 73, 18] from Operation: 38-20=18 Current State: 29:[26, 73, 18], Operations: ['38-20=18'] Exploring Operation: 73-26=47, Resulting Numbers: [18, 47] Generated Node #3: [18, 47] from Operation: 73-26=47 Current State: 29:[18, 47], Operations: ['38-20=18', '73-26=47'] Exploring Operation: 47-18=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 52, 99, 43, 45 ]
56
[ "52-43=9", "99/9=11", "45+11=56" ]
Current State: 56:[52, 99, 43, 45], Operations: [] Exploring Operation: 52-43=9, Resulting Numbers: [99, 45, 9] Generated Node #2: [99, 45, 9] from Operation: 52-43=9 Current State: 56:[99, 45, 9], Operations: ['52-43=9'] Exploring Operation: 99/9=11, Resulting Numbers: [45, 11] Generated Node #3: [45, 11] from Operation: 99/9=11 Current State: 56:[45, 11], Operations: ['52-43=9', '99/9=11'] Exploring Operation: 45+11=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 66, 27, 2, 57 ]
98
[ "66-27=39", "2+57=59", "39+59=98" ]
Current State: 98:[66, 27, 2, 57], Operations: [] Exploring Operation: 66-27=39, Resulting Numbers: [2, 57, 39] Generated Node #2: [2, 57, 39] from Operation: 66-27=39 Current State: 98:[2, 57, 39], Operations: ['66-27=39'] Exploring Operation: 2+57=59, Resulting Numbers: [39, 59] Generated Node #3: [39, 59] from Operation: 2+57=59 Current State: 98:[39, 59], Operations: ['66-27=39', '2+57=59'] Exploring Operation: 39+59=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 86, 94, 6, 43 ]
73
[ "86+94=180", "180/6=30", "43+30=73" ]
Current State: 73:[86, 94, 6, 43], Operations: [] Exploring Operation: 86+94=180, Resulting Numbers: [6, 43, 180] Generated Node #2: [6, 43, 180] from Operation: 86+94=180 Current State: 73:[6, 43, 180], Operations: ['86+94=180'] Exploring Operation: 180/6=30, Resulting Numbers: [43, 30] Generated Node #3: [43, 30] from Operation: 180/6=30 Current State: 73:[43, 30], Operations: ['86+94=180', '180/6=30'] Exploring Operation: 43+30=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 6, 5, 71, 35 ]
25
[ "6+5=11", "71-35=36", "36-11=25" ]
Current State: 25:[6, 5, 71, 35], Operations: [] Exploring Operation: 6+5=11, Resulting Numbers: [71, 35, 11] Generated Node #2: [71, 35, 11] from Operation: 6+5=11 Current State: 25:[71, 35, 11], Operations: ['6+5=11'] Exploring Operation: 71-35=36, Resulting Numbers: [11, 36] Generated Node #3: [11, 36] from Operation: 71-35=36 Current State: 25:[11, 36], Operations: ['6+5=11', '71-35=36'] Exploring Operation: 36-11=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 78, 22, 70, 69 ]
57
[ "78-22=56", "70-69=1", "56+1=57" ]
Current State: 57:[78, 22, 70, 69], Operations: [] Exploring Operation: 78-22=56, Resulting Numbers: [70, 69, 56] Generated Node #2: [70, 69, 56] from Operation: 78-22=56 Current State: 57:[70, 69, 56], Operations: ['78-22=56'] Exploring Operation: 70-69=1, Resulting Numbers: [56, 1] Generated Node #3: [56, 1] from Operation: 70-69=1 Current State: 57:[56, 1], Operations: ['78-22=56', '70-69=1'] Exploring Operation: 56+1=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 92, 50, 59, 15 ]
32
[ "92-50=42", "59+15=74", "74-42=32" ]
Current State: 32:[92, 50, 59, 15], Operations: [] Exploring Operation: 92-50=42, Resulting Numbers: [59, 15, 42] Generated Node #2: [59, 15, 42] from Operation: 92-50=42 Current State: 32:[59, 15, 42], Operations: ['92-50=42'] Exploring Operation: 59+15=74, Resulting Numbers: [42, 74] Generated Node #3: [42, 74] from Operation: 59+15=74 Current State: 32:[42, 74], Operations: ['92-50=42', '59+15=74'] Exploring Operation: 74-42=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 52, 56, 31, 25 ]
24
[ "56-52=4", "31-25=6", "4*6=24" ]
Current State: 24:[52, 56, 31, 25], Operations: [] Exploring Operation: 56-52=4, Resulting Numbers: [31, 25, 4] Generated Node #2: [31, 25, 4] from Operation: 56-52=4 Current State: 24:[31, 25, 4], Operations: ['56-52=4'] Exploring Operation: 31-25=6, Resulting Numbers: [4, 6] Generated Node #3: [4, 6] from Operation: 31-25=6 Current State: 24:[4, 6], Operations: ['56-52=4', '31-25=6'] Exploring Operation: 4*6=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 57, 29, 11, 46 ]
12
[ "57+29=86", "46+86=132", "132/11=12" ]
Current State: 12:[57, 29, 11, 46], Operations: [] Exploring Operation: 57+29=86, Resulting Numbers: [11, 46, 86] Generated Node #2: [11, 46, 86] from Operation: 57+29=86 Current State: 12:[11, 46, 86], Operations: ['57+29=86'] Exploring Operation: 46+86=132, Resulting Numbers: [11, 132] Generated Node #3: [11, 132] from Operation: 46+86=132 Current State: 12:[11, 132], Operations: ['57+29=86', '46+86=132'] Exploring Operation: 132/11=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 19, 30, 34, 8 ]
27
[ "30+34=64", "64/8=8", "19+8=27" ]
Current State: 27:[19, 30, 34, 8], Operations: [] Exploring Operation: 30+34=64, Resulting Numbers: [19, 8, 64] Generated Node #2: [19, 8, 64] from Operation: 30+34=64 Current State: 27:[19, 8, 64], Operations: ['30+34=64'] Exploring Operation: 64/8=8, Resulting Numbers: [19, 8] Generated Node #3: [19, 8] from Operation: 64/8=8 Current State: 27:[19, 8], Operations: ['30+34=64', '64/8=8'] Exploring Operation: 19+8=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 98, 94, 26, 49 ]
55
[ "98-94=4", "26*4=104", "104-49=55" ]
Current State: 55:[98, 94, 26, 49], Operations: [] Exploring Operation: 98-94=4, Resulting Numbers: [26, 49, 4] Generated Node #2: [26, 49, 4] from Operation: 98-94=4 Current State: 55:[26, 49, 4], Operations: ['98-94=4'] Exploring Operation: 26*4=104, Resulting Numbers: [49, 104] Generated Node #3: [49, 104] from Operation: 26*4=104 Current State: 55:[49, 104], Operations: ['98-94=4', '26*4=104'] Exploring Operation: 104-49=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 22, 45, 31, 21 ]
99
[ "22*45=990", "31-21=10", "990/10=99" ]
Current State: 99:[22, 45, 31, 21], Operations: [] Exploring Operation: 22*45=990, Resulting Numbers: [31, 21, 990] Generated Node #2: [31, 21, 990] from Operation: 22*45=990 Current State: 99:[31, 21, 990], Operations: ['22*45=990'] Exploring Operation: 31-21=10, Resulting Numbers: [990, 10] Generated Node #3: [990, 10] from Operation: 31-21=10 Current State: 99:[990, 10], Operations: ['22*45=990', '31-21=10'] Exploring Operation: 990/10=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 93, 5, 76, 51 ]
39
[ "93-5=88", "76+51=127", "127-88=39" ]
Current State: 39:[93, 5, 76, 51], Operations: [] Exploring Operation: 93-5=88, Resulting Numbers: [76, 51, 88] Generated Node #2: [76, 51, 88] from Operation: 93-5=88 Current State: 39:[76, 51, 88], Operations: ['93-5=88'] Exploring Operation: 76+51=127, Resulting Numbers: [88, 127] Generated Node #3: [88, 127] from Operation: 76+51=127 Current State: 39:[88, 127], Operations: ['93-5=88', '76+51=127'] Exploring Operation: 127-88=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 18, 96, 42, 6 ]
51
[ "18/6=3", "96-42=54", "54-3=51" ]
Current State: 51:[18, 96, 42, 6], Operations: [] Exploring Operation: 18/6=3, Resulting Numbers: [96, 42, 3] Generated Node #2: [96, 42, 3] from Operation: 18/6=3 Current State: 51:[96, 42, 3], Operations: ['18/6=3'] Exploring Operation: 96-42=54, Resulting Numbers: [3, 54] Generated Node #3: [3, 54] from Operation: 96-42=54 Current State: 51:[3, 54], Operations: ['18/6=3', '96-42=54'] Exploring Operation: 54-3=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 9, 44, 92, 10 ]
48
[ "10-9=1", "92-44=48", "1*48=48" ]
Current State: 48:[9, 44, 92, 10], Operations: [] Exploring Operation: 10-9=1, Resulting Numbers: [44, 92, 1] Generated Node #2: [44, 92, 1] from Operation: 10-9=1 Current State: 48:[44, 92, 1], Operations: ['10-9=1'] Exploring Operation: 92-44=48, Resulting Numbers: [1, 48] Generated Node #3: [1, 48] from Operation: 92-44=48 Current State: 48:[1, 48], Operations: ['10-9=1', '92-44=48'] Exploring Operation: 1*48=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 35, 91, 1, 4 ]
84
[ "1+4=5", "35*5=175", "175-91=84" ]
Current State: 84:[35, 91, 1, 4], Operations: [] Exploring Operation: 1+4=5, Resulting Numbers: [35, 91, 5] Generated Node #2: [35, 91, 5] from Operation: 1+4=5 Current State: 84:[35, 91, 5], Operations: ['1+4=5'] Exploring Operation: 35*5=175, Resulting Numbers: [91, 175] Generated Node #3: [91, 175] from Operation: 35*5=175 Current State: 84:[91, 175], Operations: ['1+4=5', '35*5=175'] Exploring Operation: 175-91=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 2, 50, 49, 74 ]
76
[ "2+74=76", "50-49=1", "76*1=76" ]
Current State: 76:[2, 50, 49, 74], Operations: [] Exploring Operation: 2+74=76, Resulting Numbers: [50, 49, 76] Generated Node #2: [50, 49, 76] from Operation: 2+74=76 Current State: 76:[50, 49, 76], Operations: ['2+74=76'] Exploring Operation: 50-49=1, Resulting Numbers: [76, 1] Generated Node #3: [76, 1] from Operation: 50-49=1 Current State: 76:[76, 1], Operations: ['2+74=76', '50-49=1'] Exploring Operation: 76*1=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 43, 86, 86, 33 ]
96
[ "86-43=43", "86-33=53", "43+53=96" ]
Current State: 96:[43, 86, 86, 33], Operations: [] Exploring Operation: 86-43=43, Resulting Numbers: [33, 43] Generated Node #2: [33, 43] from Operation: 86-43=43 Current State: 96:[33, 43], Operations: ['86-43=43'] Exploring Operation: 86-33=53, Resulting Numbers: [43, 53] Generated Node #3: [43, 53] from Operation: 86-33=53 Current State: 96:[43, 53], Operations: ['86-43=43', '86-33=53'] Exploring Operation: 43+53=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 44, 39, 53, 62 ]
92
[ "44+39=83", "62-53=9", "83+9=92" ]
Current State: 92:[44, 39, 53, 62], Operations: [] Exploring Operation: 44+39=83, Resulting Numbers: [53, 62, 83] Generated Node #2: [53, 62, 83] from Operation: 44+39=83 Current State: 92:[53, 62, 83], Operations: ['44+39=83'] Exploring Operation: 62-53=9, Resulting Numbers: [83, 9] Generated Node #3: [83, 9] from Operation: 62-53=9 Current State: 92:[83, 9], Operations: ['44+39=83', '62-53=9'] Exploring Operation: 83+9=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 55, 71, 96, 27 ]
21
[ "71-55=16", "96/16=6", "27-6=21" ]
Current State: 21:[55, 71, 96, 27], Operations: [] Exploring Operation: 71-55=16, Resulting Numbers: [96, 27, 16] Generated Node #2: [96, 27, 16] from Operation: 71-55=16 Current State: 21:[96, 27, 16], Operations: ['71-55=16'] Exploring Operation: 96/16=6, Resulting Numbers: [27, 6] Generated Node #3: [27, 6] from Operation: 96/16=6 Current State: 21:[27, 6], Operations: ['71-55=16', '96/16=6'] Exploring Operation: 27-6=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 33, 10, 22, 48 ]
69
[ "33+10=43", "48-22=26", "43+26=69" ]
Current State: 69:[33, 10, 22, 48], Operations: [] Exploring Operation: 33+10=43, Resulting Numbers: [22, 48, 43] Generated Node #2: [22, 48, 43] from Operation: 33+10=43 Current State: 69:[22, 48, 43], Operations: ['33+10=43'] Exploring Operation: 48-22=26, Resulting Numbers: [43, 26] Generated Node #3: [43, 26] from Operation: 48-22=26 Current State: 69:[43, 26], Operations: ['33+10=43', '48-22=26'] Exploring Operation: 43+26=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 32, 85, 35, 40 ]
75
[ "40-35=5", "32*5=160", "160-85=75" ]
Current State: 75:[32, 85, 35, 40], Operations: [] Exploring Operation: 40-35=5, Resulting Numbers: [32, 85, 5] Generated Node #2: [32, 85, 5] from Operation: 40-35=5 Current State: 75:[32, 85, 5], Operations: ['40-35=5'] Exploring Operation: 32*5=160, Resulting Numbers: [85, 160] Generated Node #3: [85, 160] from Operation: 32*5=160 Current State: 75:[85, 160], Operations: ['40-35=5', '32*5=160'] Exploring Operation: 160-85=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 53, 47, 13, 38 ]
49
[ "53+47=100", "13+38=51", "100-51=49" ]
Current State: 49:[53, 47, 13, 38], Operations: [] Exploring Operation: 53+47=100, Resulting Numbers: [13, 38, 100] Generated Node #2: [13, 38, 100] from Operation: 53+47=100 Current State: 49:[13, 38, 100], Operations: ['53+47=100'] Exploring Operation: 13+38=51, Resulting Numbers: [100, 51] Generated Node #3: [100, 51] from Operation: 13+38=51 Current State: 49:[100, 51], Operations: ['53+47=100', '13+38=51'] Exploring Operation: 100-51=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 22, 80, 62, 66 ]
68
[ "62-22=40", "80/40=2", "66+2=68" ]
Current State: 68:[22, 80, 62, 66], Operations: [] Exploring Operation: 62-22=40, Resulting Numbers: [80, 66, 40] Generated Node #2: [80, 66, 40] from Operation: 62-22=40 Current State: 68:[80, 66, 40], Operations: ['62-22=40'] Exploring Operation: 80/40=2, Resulting Numbers: [66, 2] Generated Node #3: [66, 2] from Operation: 80/40=2 Current State: 68:[66, 2], Operations: ['62-22=40', '80/40=2'] Exploring Operation: 66+2=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 27, 22, 75, 71 ]
86
[ "27-22=5", "75/5=15", "71+15=86" ]
Current State: 86:[27, 22, 75, 71], Operations: [] Exploring Operation: 27-22=5, Resulting Numbers: [75, 71, 5] Generated Node #2: [75, 71, 5] from Operation: 27-22=5 Current State: 86:[75, 71, 5], Operations: ['27-22=5'] Exploring Operation: 75/5=15, Resulting Numbers: [71, 15] Generated Node #3: [71, 15] from Operation: 75/5=15 Current State: 86:[71, 15], Operations: ['27-22=5', '75/5=15'] Exploring Operation: 71+15=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 5, 19, 27, 14 ]
72
[ "14-5=9", "27-19=8", "9*8=72" ]
Current State: 72:[5, 19, 27, 14], Operations: [] Exploring Operation: 14-5=9, Resulting Numbers: [19, 27, 9] Generated Node #2: [19, 27, 9] from Operation: 14-5=9 Current State: 72:[19, 27, 9], Operations: ['14-5=9'] Exploring Operation: 27-19=8, Resulting Numbers: [9, 8] Generated Node #3: [9, 8] from Operation: 27-19=8 Current State: 72:[9, 8], Operations: ['14-5=9', '27-19=8'] Exploring Operation: 9*8=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 46, 22, 44, 24 ]
48
[ "46+22=68", "44-24=20", "68-20=48" ]
Current State: 48:[46, 22, 44, 24], Operations: [] Exploring Operation: 46+22=68, Resulting Numbers: [44, 24, 68] Generated Node #2: [44, 24, 68] from Operation: 46+22=68 Current State: 48:[44, 24, 68], Operations: ['46+22=68'] Exploring Operation: 44-24=20, Resulting Numbers: [68, 20] Generated Node #3: [68, 20] from Operation: 44-24=20 Current State: 48:[68, 20], Operations: ['46+22=68', '44-24=20'] Exploring Operation: 68-20=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 35, 10, 90, 60 ]
45
[ "35*90=3150", "10+60=70", "3150/70=45" ]
Current State: 45:[35, 10, 90, 60], Operations: [] Exploring Operation: 35*90=3150, Resulting Numbers: [10, 60, 3150] Generated Node #2: [10, 60, 3150] from Operation: 35*90=3150 Current State: 45:[10, 60, 3150], Operations: ['35*90=3150'] Exploring Operation: 10+60=70, Resulting Numbers: [3150, 70] Generated Node #3: [3150, 70] from Operation: 10+60=70 Current State: 45:[3150, 70], Operations: ['35*90=3150', '10+60=70'] Exploring Operation: 3150/70=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 49, 4, 28, 97 ]
64
[ "97-49=48", "4*28=112", "112-48=64" ]
Current State: 64:[49, 4, 28, 97], Operations: [] Exploring Operation: 97-49=48, Resulting Numbers: [4, 28, 48] Generated Node #2: [4, 28, 48] from Operation: 97-49=48 Current State: 64:[4, 28, 48], Operations: ['97-49=48'] Exploring Operation: 4*28=112, Resulting Numbers: [48, 112] Generated Node #3: [48, 112] from Operation: 4*28=112 Current State: 64:[48, 112], Operations: ['97-49=48', '4*28=112'] Exploring Operation: 112-48=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 41, 3, 49, 42 ]
47
[ "41+3=44", "49+42=91", "91-44=47" ]
Current State: 47:[41, 3, 49, 42], Operations: [] Exploring Operation: 41+3=44, Resulting Numbers: [49, 42, 44] Generated Node #2: [49, 42, 44] from Operation: 41+3=44 Current State: 47:[49, 42, 44], Operations: ['41+3=44'] Exploring Operation: 49+42=91, Resulting Numbers: [44, 91] Generated Node #3: [44, 91] from Operation: 49+42=91 Current State: 47:[44, 91], Operations: ['41+3=44', '49+42=91'] Exploring Operation: 91-44=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 9, 18, 6, 73 ]
85
[ "18/9=2", "6*2=12", "73+12=85" ]
Current State: 85:[9, 18, 6, 73], Operations: [] Exploring Operation: 18/9=2, Resulting Numbers: [6, 73, 2] Generated Node #2: [6, 73, 2] from Operation: 18/9=2 Current State: 85:[6, 73, 2], Operations: ['18/9=2'] Exploring Operation: 6*2=12, Resulting Numbers: [73, 12] Generated Node #3: [73, 12] from Operation: 6*2=12 Current State: 85:[73, 12], Operations: ['18/9=2', '6*2=12'] Exploring Operation: 73+12=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 67, 45, 2, 38 ]
30
[ "67-45=22", "38+22=60", "60/2=30" ]
Current State: 30:[67, 45, 2, 38], Operations: [] Exploring Operation: 67-45=22, Resulting Numbers: [2, 38, 22] Generated Node #2: [2, 38, 22] from Operation: 67-45=22 Current State: 30:[2, 38, 22], Operations: ['67-45=22'] Exploring Operation: 38+22=60, Resulting Numbers: [2, 60] Generated Node #3: [2, 60] from Operation: 38+22=60 Current State: 30:[2, 60], Operations: ['67-45=22', '38+22=60'] Exploring Operation: 60/2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 12, 87, 76, 42 ]
43
[ "87-12=75", "76+42=118", "118-75=43" ]
Current State: 43:[12, 87, 76, 42], Operations: [] Exploring Operation: 87-12=75, Resulting Numbers: [76, 42, 75] Generated Node #2: [76, 42, 75] from Operation: 87-12=75 Current State: 43:[76, 42, 75], Operations: ['87-12=75'] Exploring Operation: 76+42=118, Resulting Numbers: [75, 118] Generated Node #3: [75, 118] from Operation: 76+42=118 Current State: 43:[75, 118], Operations: ['87-12=75', '76+42=118'] Exploring Operation: 118-75=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 58, 79, 15, 29 ]
65
[ "79-58=21", "15+29=44", "21+44=65" ]
Current State: 65:[58, 79, 15, 29], Operations: [] Exploring Operation: 79-58=21, Resulting Numbers: [15, 29, 21] Generated Node #2: [15, 29, 21] from Operation: 79-58=21 Current State: 65:[15, 29, 21], Operations: ['79-58=21'] Exploring Operation: 15+29=44, Resulting Numbers: [21, 44] Generated Node #3: [21, 44] from Operation: 15+29=44 Current State: 65:[21, 44], Operations: ['79-58=21', '15+29=44'] Exploring Operation: 21+44=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 18, 46, 49, 51 ]
62
[ "18+46=64", "51-49=2", "64-2=62" ]
Current State: 62:[18, 46, 49, 51], Operations: [] Exploring Operation: 18+46=64, Resulting Numbers: [49, 51, 64] Generated Node #2: [49, 51, 64] from Operation: 18+46=64 Current State: 62:[49, 51, 64], Operations: ['18+46=64'] Exploring Operation: 51-49=2, Resulting Numbers: [64, 2] Generated Node #3: [64, 2] from Operation: 51-49=2 Current State: 62:[64, 2], Operations: ['18+46=64', '51-49=2'] Exploring Operation: 64-2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 70, 64, 30, 19 ]
85
[ "70+64=134", "30+19=49", "134-49=85" ]
Current State: 85:[70, 64, 30, 19], Operations: [] Exploring Operation: 70+64=134, Resulting Numbers: [30, 19, 134] Generated Node #2: [30, 19, 134] from Operation: 70+64=134 Current State: 85:[30, 19, 134], Operations: ['70+64=134'] Exploring Operation: 30+19=49, Resulting Numbers: [134, 49] Generated Node #3: [134, 49] from Operation: 30+19=49 Current State: 85:[134, 49], Operations: ['70+64=134', '30+19=49'] Exploring Operation: 134-49=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 7, 65, 2, 13 ]
37
[ "7*65=455", "455/13=35", "2+35=37" ]
Current State: 37:[7, 65, 2, 13], Operations: [] Exploring Operation: 7*65=455, Resulting Numbers: [2, 13, 455] Generated Node #2: [2, 13, 455] from Operation: 7*65=455 Current State: 37:[2, 13, 455], Operations: ['7*65=455'] Exploring Operation: 455/13=35, Resulting Numbers: [2, 35] Generated Node #3: [2, 35] from Operation: 455/13=35 Current State: 37:[2, 35], Operations: ['7*65=455', '455/13=35'] Exploring Operation: 2+35=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 42, 34, 53, 70 ]
59
[ "42+34=76", "70-53=17", "76-17=59" ]
Current State: 59:[42, 34, 53, 70], Operations: [] Exploring Operation: 42+34=76, Resulting Numbers: [53, 70, 76] Generated Node #2: [53, 70, 76] from Operation: 42+34=76 Current State: 59:[53, 70, 76], Operations: ['42+34=76'] Exploring Operation: 70-53=17, Resulting Numbers: [76, 17] Generated Node #3: [76, 17] from Operation: 70-53=17 Current State: 59:[76, 17], Operations: ['42+34=76', '70-53=17'] Exploring Operation: 76-17=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 45, 60, 62, 77 ]
61
[ "45+77=122", "62-60=2", "122/2=61" ]
Current State: 61:[45, 60, 62, 77], Operations: [] Exploring Operation: 45+77=122, Resulting Numbers: [60, 62, 122] Generated Node #2: [60, 62, 122] from Operation: 45+77=122 Current State: 61:[60, 62, 122], Operations: ['45+77=122'] Exploring Operation: 62-60=2, Resulting Numbers: [122, 2] Generated Node #3: [122, 2] from Operation: 62-60=2 Current State: 61:[122, 2], Operations: ['45+77=122', '62-60=2'] Exploring Operation: 122/2=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 3, 4, 98, 78 ]
60
[ "4+98=102", "78+102=180", "180/3=60" ]
Current State: 60:[3, 4, 98, 78], Operations: [] Exploring Operation: 4+98=102, Resulting Numbers: [3, 78, 102] Generated Node #2: [3, 78, 102] from Operation: 4+98=102 Current State: 60:[3, 78, 102], Operations: ['4+98=102'] Exploring Operation: 78+102=180, Resulting Numbers: [3, 180] Generated Node #3: [3, 180] from Operation: 78+102=180 Current State: 60:[3, 180], Operations: ['4+98=102', '78+102=180'] Exploring Operation: 180/3=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 22, 2, 53, 1 ]
13
[ "2+1=3", "22*3=66", "66-53=13" ]
Current State: 13:[22, 2, 53, 1], Operations: [] Exploring Operation: 2+1=3, Resulting Numbers: [22, 53, 3] Generated Node #2: [22, 53, 3] from Operation: 2+1=3 Current State: 13:[22, 53, 3], Operations: ['2+1=3'] Exploring Operation: 22*3=66, Resulting Numbers: [53, 66] Generated Node #3: [53, 66] from Operation: 22*3=66 Current State: 13:[53, 66], Operations: ['2+1=3', '22*3=66'] Exploring Operation: 66-53=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 76, 90, 48, 49 ]
69
[ "76+90=166", "48+49=97", "166-97=69" ]
Current State: 69:[76, 90, 48, 49], Operations: [] Exploring Operation: 76+90=166, Resulting Numbers: [48, 49, 166] Generated Node #2: [48, 49, 166] from Operation: 76+90=166 Current State: 69:[48, 49, 166], Operations: ['76+90=166'] Exploring Operation: 48+49=97, Resulting Numbers: [166, 97] Generated Node #3: [166, 97] from Operation: 48+49=97 Current State: 69:[166, 97], Operations: ['76+90=166', '48+49=97'] Exploring Operation: 166-97=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 43, 61, 90, 99 ]
94
[ "61-43=18", "90/18=5", "99-5=94" ]
Current State: 94:[43, 61, 90, 99], Operations: [] Exploring Operation: 61-43=18, Resulting Numbers: [90, 99, 18] Generated Node #2: [90, 99, 18] from Operation: 61-43=18 Current State: 94:[90, 99, 18], Operations: ['61-43=18'] Exploring Operation: 90/18=5, Resulting Numbers: [99, 5] Generated Node #3: [99, 5] from Operation: 90/18=5 Current State: 94:[99, 5], Operations: ['61-43=18', '90/18=5'] Exploring Operation: 99-5=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 6, 7, 25, 93 ]
90
[ "25-7=18", "18/6=3", "93-3=90" ]
Current State: 90:[6, 7, 25, 93], Operations: [] Exploring Operation: 25-7=18, Resulting Numbers: [6, 93, 18] Generated Node #2: [6, 93, 18] from Operation: 25-7=18 Current State: 90:[6, 93, 18], Operations: ['25-7=18'] Exploring Operation: 18/6=3, Resulting Numbers: [93, 3] Generated Node #3: [93, 3] from Operation: 18/6=3 Current State: 90:[93, 3], Operations: ['25-7=18', '18/6=3'] Exploring Operation: 93-3=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 29, 88, 77, 88 ]
77
[ "88-88=0", "29*0=0", "77+0=77" ]
Current State: 77:[29, 88, 77, 88], Operations: [] Exploring Operation: 88-88=0, Resulting Numbers: [29, 77, 0] Generated Node #2: [29, 77, 0] from Operation: 88-88=0 Current State: 77:[29, 77, 0], Operations: ['88-88=0'] Exploring Operation: 29*0=0, Resulting Numbers: [77, 0] Generated Node #3: [77, 0] from Operation: 29*0=0 Current State: 77:[77, 0], Operations: ['88-88=0', '29*0=0'] Exploring Operation: 77+0=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 38, 91, 34, 41 ]
19
[ "41-38=3", "91-34=57", "57/3=19" ]
Current State: 19:[38, 91, 34, 41], Operations: [] Exploring Operation: 41-38=3, Resulting Numbers: [91, 34, 3] Generated Node #2: [91, 34, 3] from Operation: 41-38=3 Current State: 19:[91, 34, 3], Operations: ['41-38=3'] Exploring Operation: 91-34=57, Resulting Numbers: [3, 57] Generated Node #3: [3, 57] from Operation: 91-34=57 Current State: 19:[3, 57], Operations: ['41-38=3', '91-34=57'] Exploring Operation: 57/3=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 76, 78, 87, 43 ]
11
[ "87-76=11", "78+43=121", "121/11=11" ]
Current State: 11:[76, 78, 87, 43], Operations: [] Exploring Operation: 87-76=11, Resulting Numbers: [78, 43, 11] Generated Node #2: [78, 43, 11] from Operation: 87-76=11 Current State: 11:[78, 43, 11], Operations: ['87-76=11'] Exploring Operation: 78+43=121, Resulting Numbers: [11, 121] Generated Node #3: [11, 121] from Operation: 78+43=121 Current State: 11:[11, 121], Operations: ['87-76=11', '78+43=121'] Exploring Operation: 121/11=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 62, 6, 98, 52 ]
96
[ "98-62=36", "52-36=16", "6*16=96" ]
Current State: 96:[62, 6, 98, 52], Operations: [] Exploring Operation: 98-62=36, Resulting Numbers: [6, 52, 36] Generated Node #2: [6, 52, 36] from Operation: 98-62=36 Current State: 96:[6, 52, 36], Operations: ['98-62=36'] Exploring Operation: 52-36=16, Resulting Numbers: [6, 16] Generated Node #3: [6, 16] from Operation: 52-36=16 Current State: 96:[6, 16], Operations: ['98-62=36', '52-36=16'] Exploring Operation: 6*16=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 50, 21, 35, 86 ]
56
[ "50*21=1050", "1050/35=30", "86-30=56" ]
Current State: 56:[50, 21, 35, 86], Operations: [] Exploring Operation: 50*21=1050, Resulting Numbers: [35, 86, 1050] Generated Node #2: [35, 86, 1050] from Operation: 50*21=1050 Current State: 56:[35, 86, 1050], Operations: ['50*21=1050'] Exploring Operation: 1050/35=30, Resulting Numbers: [86, 30] Generated Node #3: [86, 30] from Operation: 1050/35=30 Current State: 56:[86, 30], Operations: ['50*21=1050', '1050/35=30'] Exploring Operation: 86-30=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 77, 48, 32, 52 ]
51
[ "52-48=4", "32*4=128", "128-77=51" ]
Current State: 51:[77, 48, 32, 52], Operations: [] Exploring Operation: 52-48=4, Resulting Numbers: [77, 32, 4] Generated Node #2: [77, 32, 4] from Operation: 52-48=4 Current State: 51:[77, 32, 4], Operations: ['52-48=4'] Exploring Operation: 32*4=128, Resulting Numbers: [77, 128] Generated Node #3: [77, 128] from Operation: 32*4=128 Current State: 51:[77, 128], Operations: ['52-48=4', '32*4=128'] Exploring Operation: 128-77=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 69, 80, 73, 8 ]
54
[ "80-69=11", "73-8=65", "65-11=54" ]
Current State: 54:[69, 80, 73, 8], Operations: [] Exploring Operation: 80-69=11, Resulting Numbers: [73, 8, 11] Generated Node #2: [73, 8, 11] from Operation: 80-69=11 Current State: 54:[73, 8, 11], Operations: ['80-69=11'] Exploring Operation: 73-8=65, Resulting Numbers: [11, 65] Generated Node #3: [11, 65] from Operation: 73-8=65 Current State: 54:[11, 65], Operations: ['80-69=11', '73-8=65'] Exploring Operation: 65-11=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 61, 19, 96, 84 ]
24
[ "61+19=80", "84-80=4", "96/4=24" ]
Current State: 24:[61, 19, 96, 84], Operations: [] Exploring Operation: 61+19=80, Resulting Numbers: [96, 84, 80] Generated Node #2: [96, 84, 80] from Operation: 61+19=80 Current State: 24:[96, 84, 80], Operations: ['61+19=80'] Exploring Operation: 84-80=4, Resulting Numbers: [96, 4] Generated Node #3: [96, 4] from Operation: 84-80=4 Current State: 24:[96, 4], Operations: ['61+19=80', '84-80=4'] Exploring Operation: 96/4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 33, 6, 44, 33 ]
44
[ "33-33=0", "6*0=0", "44+0=44" ]
Current State: 44:[33, 6, 44, 33], Operations: [] Exploring Operation: 33-33=0, Resulting Numbers: [6, 44, 0] Generated Node #2: [6, 44, 0] from Operation: 33-33=0 Current State: 44:[6, 44, 0], Operations: ['33-33=0'] Exploring Operation: 6*0=0, Resulting Numbers: [44, 0] Generated Node #3: [44, 0] from Operation: 6*0=0 Current State: 44:[44, 0], Operations: ['33-33=0', '6*0=0'] Exploring Operation: 44+0=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 61, 69, 57, 22 ]
71
[ "69-61=8", "57+22=79", "79-8=71" ]
Current State: 71:[61, 69, 57, 22], Operations: [] Exploring Operation: 69-61=8, Resulting Numbers: [57, 22, 8] Generated Node #2: [57, 22, 8] from Operation: 69-61=8 Current State: 71:[57, 22, 8], Operations: ['69-61=8'] Exploring Operation: 57+22=79, Resulting Numbers: [8, 79] Generated Node #3: [8, 79] from Operation: 57+22=79 Current State: 71:[8, 79], Operations: ['69-61=8', '57+22=79'] Exploring Operation: 79-8=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 33, 88, 87, 81 ]
49
[ "88-33=55", "87-81=6", "55-6=49" ]
Current State: 49:[33, 88, 87, 81], Operations: [] Exploring Operation: 88-33=55, Resulting Numbers: [87, 81, 55] Generated Node #2: [87, 81, 55] from Operation: 88-33=55 Current State: 49:[87, 81, 55], Operations: ['88-33=55'] Exploring Operation: 87-81=6, Resulting Numbers: [55, 6] Generated Node #3: [55, 6] from Operation: 87-81=6 Current State: 49:[55, 6], Operations: ['88-33=55', '87-81=6'] Exploring Operation: 55-6=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 37, 3, 24, 13 ]
42
[ "37+13=50", "24/3=8", "50-8=42" ]
Current State: 42:[37, 3, 24, 13], Operations: [] Exploring Operation: 37+13=50, Resulting Numbers: [3, 24, 50] Generated Node #2: [3, 24, 50] from Operation: 37+13=50 Current State: 42:[3, 24, 50], Operations: ['37+13=50'] Exploring Operation: 24/3=8, Resulting Numbers: [50, 8] Generated Node #3: [50, 8] from Operation: 24/3=8 Current State: 42:[50, 8], Operations: ['37+13=50', '24/3=8'] Exploring Operation: 50-8=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 64, 77, 28, 66 ]
42
[ "64-28=36", "77*36=2772", "2772/66=42" ]
Current State: 42:[64, 77, 28, 66], Operations: [] Exploring Operation: 64-28=36, Resulting Numbers: [77, 66, 36] Generated Node #2: [77, 66, 36] from Operation: 64-28=36 Current State: 42:[77, 66, 36], Operations: ['64-28=36'] Exploring Operation: 77*36=2772, Resulting Numbers: [66, 2772] Generated Node #3: [66, 2772] from Operation: 77*36=2772 Current State: 42:[66, 2772], Operations: ['64-28=36', '77*36=2772'] Exploring Operation: 2772/66=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 39, 41, 5, 58 ]
61
[ "41-39=2", "5+58=63", "63-2=61" ]
Current State: 61:[39, 41, 5, 58], Operations: [] Exploring Operation: 41-39=2, Resulting Numbers: [5, 58, 2] Generated Node #2: [5, 58, 2] from Operation: 41-39=2 Current State: 61:[5, 58, 2], Operations: ['41-39=2'] Exploring Operation: 5+58=63, Resulting Numbers: [2, 63] Generated Node #3: [2, 63] from Operation: 5+58=63 Current State: 61:[2, 63], Operations: ['41-39=2', '5+58=63'] Exploring Operation: 63-2=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 15, 96, 6, 93 ]
87
[ "15*6=90", "96-93=3", "90-3=87" ]
Current State: 87:[15, 96, 6, 93], Operations: [] Exploring Operation: 15*6=90, Resulting Numbers: [96, 93, 90] Generated Node #2: [96, 93, 90] from Operation: 15*6=90 Current State: 87:[96, 93, 90], Operations: ['15*6=90'] Exploring Operation: 96-93=3, Resulting Numbers: [90, 3] Generated Node #3: [90, 3] from Operation: 96-93=3 Current State: 87:[90, 3], Operations: ['15*6=90', '96-93=3'] Exploring Operation: 90-3=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 84, 82, 53, 21 ]
72
[ "84-82=2", "53+21=74", "74-2=72" ]
Current State: 72:[84, 82, 53, 21], Operations: [] Exploring Operation: 84-82=2, Resulting Numbers: [53, 21, 2] Generated Node #2: [53, 21, 2] from Operation: 84-82=2 Current State: 72:[53, 21, 2], Operations: ['84-82=2'] Exploring Operation: 53+21=74, Resulting Numbers: [2, 74] Generated Node #3: [2, 74] from Operation: 53+21=74 Current State: 72:[2, 74], Operations: ['84-82=2', '53+21=74'] Exploring Operation: 74-2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 18, 66, 92, 69 ]
64
[ "66-18=48", "92*48=4416", "4416/69=64" ]
Current State: 64:[18, 66, 92, 69], Operations: [] Exploring Operation: 66-18=48, Resulting Numbers: [92, 69, 48] Generated Node #2: [92, 69, 48] from Operation: 66-18=48 Current State: 64:[92, 69, 48], Operations: ['66-18=48'] Exploring Operation: 92*48=4416, Resulting Numbers: [69, 4416] Generated Node #3: [69, 4416] from Operation: 92*48=4416 Current State: 64:[69, 4416], Operations: ['66-18=48', '92*48=4416'] Exploring Operation: 4416/69=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 28, 38, 71, 98 ]
17
[ "38-28=10", "98-71=27", "27-10=17" ]
Current State: 17:[28, 38, 71, 98], Operations: [] Exploring Operation: 38-28=10, Resulting Numbers: [71, 98, 10] Generated Node #2: [71, 98, 10] from Operation: 38-28=10 Current State: 17:[71, 98, 10], Operations: ['38-28=10'] Exploring Operation: 98-71=27, Resulting Numbers: [10, 27] Generated Node #3: [10, 27] from Operation: 98-71=27 Current State: 17:[10, 27], Operations: ['38-28=10', '98-71=27'] Exploring Operation: 27-10=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 78, 26, 29, 56 ]
82
[ "78/26=3", "29+56=85", "85-3=82" ]
Current State: 82:[78, 26, 29, 56], Operations: [] Exploring Operation: 78/26=3, Resulting Numbers: [29, 56, 3] Generated Node #2: [29, 56, 3] from Operation: 78/26=3 Current State: 82:[29, 56, 3], Operations: ['78/26=3'] Exploring Operation: 29+56=85, Resulting Numbers: [3, 85] Generated Node #3: [3, 85] from Operation: 29+56=85 Current State: 82:[3, 85], Operations: ['78/26=3', '29+56=85'] Exploring Operation: 85-3=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 57, 28, 56, 40 ]
34
[ "57-40=17", "56/28=2", "17*2=34" ]
Current State: 34:[57, 28, 56, 40], Operations: [] Exploring Operation: 57-40=17, Resulting Numbers: [28, 56, 17] Generated Node #2: [28, 56, 17] from Operation: 57-40=17 Current State: 34:[28, 56, 17], Operations: ['57-40=17'] Exploring Operation: 56/28=2, Resulting Numbers: [17, 2] Generated Node #3: [17, 2] from Operation: 56/28=2 Current State: 34:[17, 2], Operations: ['57-40=17', '56/28=2'] Exploring Operation: 17*2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 8, 20, 37, 44 ]
69
[ "20-8=12", "37+44=81", "81-12=69" ]
Current State: 69:[8, 20, 37, 44], Operations: [] Exploring Operation: 20-8=12, Resulting Numbers: [37, 44, 12] Generated Node #2: [37, 44, 12] from Operation: 20-8=12 Current State: 69:[37, 44, 12], Operations: ['20-8=12'] Exploring Operation: 37+44=81, Resulting Numbers: [12, 81] Generated Node #3: [12, 81] from Operation: 37+44=81 Current State: 69:[12, 81], Operations: ['20-8=12', '37+44=81'] Exploring Operation: 81-12=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 20, 41, 42, 20 ]
42
[ "41-20=21", "21-20=1", "42*1=42" ]
Current State: 42:[20, 41, 42, 20], Operations: [] Exploring Operation: 41-20=21, Resulting Numbers: [42, 21] Generated Node #2: [42, 21] from Operation: 41-20=21 Current State: 42:[42, 21], Operations: ['41-20=21'] Exploring Operation: 21-20=1, Resulting Numbers: [42, 1] Generated Node #3: [42, 1] from Operation: 21-20=1 Current State: 42:[42, 1], Operations: ['41-20=21', '21-20=1'] Exploring Operation: 42*1=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 51, 15, 4, 26 ]
36
[ "51+15=66", "4+26=30", "66-30=36" ]
Current State: 36:[51, 15, 4, 26], Operations: [] Exploring Operation: 51+15=66, Resulting Numbers: [4, 26, 66] Generated Node #2: [4, 26, 66] from Operation: 51+15=66 Current State: 36:[4, 26, 66], Operations: ['51+15=66'] Exploring Operation: 4+26=30, Resulting Numbers: [66, 30] Generated Node #3: [66, 30] from Operation: 4+26=30 Current State: 36:[66, 30], Operations: ['51+15=66', '4+26=30'] Exploring Operation: 66-30=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 11, 48, 30, 9 ]
36
[ "11-9=2", "48-30=18", "2*18=36" ]
Current State: 36:[11, 48, 30, 9], Operations: [] Exploring Operation: 11-9=2, Resulting Numbers: [48, 30, 2] Generated Node #2: [48, 30, 2] from Operation: 11-9=2 Current State: 36:[48, 30, 2], Operations: ['11-9=2'] Exploring Operation: 48-30=18, Resulting Numbers: [2, 18] Generated Node #3: [2, 18] from Operation: 48-30=18 Current State: 36:[2, 18], Operations: ['11-9=2', '48-30=18'] Exploring Operation: 2*18=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 49, 25, 20, 69 ]
16
[ "69-49=20", "20*20=400", "400/25=16" ]
Current State: 16:[49, 25, 20, 69], Operations: [] Exploring Operation: 69-49=20, Resulting Numbers: [25, 20, 20] Generated Node #2: [25, 20, 20] from Operation: 69-49=20 Current State: 16:[25, 20, 20], Operations: ['69-49=20'] Exploring Operation: 20*20=400, Resulting Numbers: [25, 400] Generated Node #3: [25, 400] from Operation: 20*20=400 Current State: 16:[25, 400], Operations: ['69-49=20', '20*20=400'] Exploring Operation: 400/25=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 37, 16, 99, 8 ]
66
[ "99-37=62", "16*8=128", "128-62=66" ]
Current State: 66:[37, 16, 99, 8], Operations: [] Exploring Operation: 99-37=62, Resulting Numbers: [16, 8, 62] Generated Node #2: [16, 8, 62] from Operation: 99-37=62 Current State: 66:[16, 8, 62], Operations: ['99-37=62'] Exploring Operation: 16*8=128, Resulting Numbers: [62, 128] Generated Node #3: [62, 128] from Operation: 16*8=128 Current State: 66:[62, 128], Operations: ['99-37=62', '16*8=128'] Exploring Operation: 128-62=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 7, 49, 30, 84 ]
60
[ "49-7=42", "30*84=2520", "2520/42=60" ]
Current State: 60:[7, 49, 30, 84], Operations: [] Exploring Operation: 49-7=42, Resulting Numbers: [30, 84, 42] Generated Node #2: [30, 84, 42] from Operation: 49-7=42 Current State: 60:[30, 84, 42], Operations: ['49-7=42'] Exploring Operation: 30*84=2520, Resulting Numbers: [42, 2520] Generated Node #3: [42, 2520] from Operation: 30*84=2520 Current State: 60:[42, 2520], Operations: ['49-7=42', '30*84=2520'] Exploring Operation: 2520/42=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 18, 51, 48, 15 ]
63
[ "51-48=3", "15*3=45", "18+45=63" ]
Current State: 63:[18, 51, 48, 15], Operations: [] Exploring Operation: 51-48=3, Resulting Numbers: [18, 15, 3] Generated Node #2: [18, 15, 3] from Operation: 51-48=3 Current State: 63:[18, 15, 3], Operations: ['51-48=3'] Exploring Operation: 15*3=45, Resulting Numbers: [18, 45] Generated Node #3: [18, 45] from Operation: 15*3=45 Current State: 63:[18, 45], Operations: ['51-48=3', '15*3=45'] Exploring Operation: 18+45=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 6, 39, 5, 89 ]
51
[ "39-6=33", "89-5=84", "84-33=51" ]
Current State: 51:[6, 39, 5, 89], Operations: [] Exploring Operation: 39-6=33, Resulting Numbers: [5, 89, 33] Generated Node #2: [5, 89, 33] from Operation: 39-6=33 Current State: 51:[5, 89, 33], Operations: ['39-6=33'] Exploring Operation: 89-5=84, Resulting Numbers: [33, 84] Generated Node #3: [33, 84] from Operation: 89-5=84 Current State: 51:[33, 84], Operations: ['39-6=33', '89-5=84'] Exploring Operation: 84-33=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 44, 49, 60, 66 ]
50
[ "60-49=11", "66/11=6", "44+6=50" ]
Current State: 50:[44, 49, 60, 66], Operations: [] Exploring Operation: 60-49=11, Resulting Numbers: [44, 66, 11] Generated Node #2: [44, 66, 11] from Operation: 60-49=11 Current State: 50:[44, 66, 11], Operations: ['60-49=11'] Exploring Operation: 66/11=6, Resulting Numbers: [44, 6] Generated Node #3: [44, 6] from Operation: 66/11=6 Current State: 50:[44, 6], Operations: ['60-49=11', '66/11=6'] Exploring Operation: 44+6=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4