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
[ 5, 21, 2, 89 ]
63
[ "89-5=84", "84/2=42", "21+42=63" ]
Current State: 63:[5, 21, 2, 89], Operations: [] Exploring Operation: 89-5=84, Resulting Numbers: [21, 2, 84] Generated Node #2: [21, 2, 84] from Operation: 89-5=84 Current State: 63:[21, 2, 84], Operations: ['89-5=84'] Exploring Operation: 84/2=42, Resulting Numbers: [21, 42] Generated Node #3: [21, 42] from Operation: 84/2=42 Current State: 63:[21, 42], Operations: ['89-5=84', '84/2=42'] Exploring Operation: 21+42=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 25, 7, 56, 11 ]
63
[ "25-7=18", "56-11=45", "18+45=63" ]
Current State: 63:[25, 7, 56, 11], Operations: [] Exploring Operation: 25-7=18, Resulting Numbers: [56, 11, 18] Generated Node #2: [56, 11, 18] from Operation: 25-7=18 Current State: 63:[56, 11, 18], Operations: ['25-7=18'] Exploring Operation: 56-11=45, Resulting Numbers: [18, 45] Generated Node #3: [18, 45] from Operation: 56-11=45 Current State: 63:[18, 45], Operations: ['25-7=18', '56-11=45'] Exploring Operation: 18+45=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 2, 4, 58, 42 ]
72
[ "2+58=60", "60-42=18", "4*18=72" ]
Current State: 72:[2, 4, 58, 42], Operations: [] Exploring Operation: 2+58=60, Resulting Numbers: [4, 42, 60] Generated Node #2: [4, 42, 60] from Operation: 2+58=60 Current State: 72:[4, 42, 60], Operations: ['2+58=60'] Exploring Operation: 60-42=18, Resulting Numbers: [4, 18] Generated Node #3: [4, 18] from Operation: 60-42=18 Current State: 72:[4, 18], Operations: ['2+58=60', '60-42=18'] Exploring Operation: 4*18=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 24, 29, 48, 69 ]
42
[ "48/24=2", "69-29=40", "2+40=42" ]
Current State: 42:[24, 29, 48, 69], Operations: [] Exploring Operation: 48/24=2, Resulting Numbers: [29, 69, 2] Generated Node #2: [29, 69, 2] from Operation: 48/24=2 Current State: 42:[29, 69, 2], Operations: ['48/24=2'] Exploring Operation: 69-29=40, Resulting Numbers: [2, 40] Generated Node #3: [2, 40] from Operation: 69-29=40 Current State: 42:[2, 40], Operations: ['48/24=2', '69-29=40'] Exploring Operation: 2+40=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 36, 65, 1, 41 ]
12
[ "65-36=29", "1*41=41", "41-29=12" ]
Current State: 12:[36, 65, 1, 41], Operations: [] Exploring Operation: 65-36=29, Resulting Numbers: [1, 41, 29] Generated Node #2: [1, 41, 29] from Operation: 65-36=29 Current State: 12:[1, 41, 29], Operations: ['65-36=29'] Exploring Operation: 1*41=41, Resulting Numbers: [29, 41] Generated Node #3: [29, 41] from Operation: 1*41=41 Current State: 12:[29, 41], Operations: ['65-36=29', '1*41=41'] Exploring Operation: 41-29=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 3, 64, 21, 19 ]
38
[ "21/3=7", "64-19=45", "45-7=38" ]
Current State: 38:[3, 64, 21, 19], Operations: [] Exploring Operation: 21/3=7, Resulting Numbers: [64, 19, 7] Generated Node #2: [64, 19, 7] from Operation: 21/3=7 Current State: 38:[64, 19, 7], Operations: ['21/3=7'] Exploring Operation: 64-19=45, Resulting Numbers: [7, 45] Generated Node #3: [7, 45] from Operation: 64-19=45 Current State: 38:[7, 45], Operations: ['21/3=7', '64-19=45'] Exploring Operation: 45-7=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 97, 6, 29, 35 ]
96
[ "6+29=35", "35/35=1", "97-1=96" ]
Current State: 96:[97, 6, 29, 35], Operations: [] Exploring Operation: 6+29=35, Resulting Numbers: [97, 35, 35] Generated Node #2: [97, 35, 35] from Operation: 6+29=35 Current State: 96:[97, 35, 35], Operations: ['6+29=35'] Exploring Operation: 35/35=1, Resulting Numbers: [97, 1] Generated Node #3: [97, 1] from Operation: 35/35=1 Current State: 96:[97, 1], Operations: ['6+29=35', '35/35=1'] Exploring Operation: 97-1=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 33, 14, 82, 89 ]
86
[ "89-33=56", "56/14=4", "82+4=86" ]
Current State: 86:[33, 14, 82, 89], Operations: [] Exploring Operation: 89-33=56, Resulting Numbers: [14, 82, 56] Generated Node #2: [14, 82, 56] from Operation: 89-33=56 Current State: 86:[14, 82, 56], Operations: ['89-33=56'] Exploring Operation: 56/14=4, Resulting Numbers: [82, 4] Generated Node #3: [82, 4] from Operation: 56/14=4 Current State: 86:[82, 4], Operations: ['89-33=56', '56/14=4'] Exploring Operation: 82+4=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 26, 71, 17, 34 ]
62
[ "71-26=45", "34-17=17", "45+17=62" ]
Current State: 62:[26, 71, 17, 34], Operations: [] Exploring Operation: 71-26=45, Resulting Numbers: [17, 34, 45] Generated Node #2: [17, 34, 45] from Operation: 71-26=45 Current State: 62:[17, 34, 45], Operations: ['71-26=45'] Exploring Operation: 34-17=17, Resulting Numbers: [45, 17] Generated Node #3: [45, 17] from Operation: 34-17=17 Current State: 62:[45, 17], Operations: ['71-26=45', '34-17=17'] Exploring Operation: 45+17=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 16, 60, 71, 5 ]
49
[ "71-16=55", "55/5=11", "60-11=49" ]
Current State: 49:[16, 60, 71, 5], Operations: [] Exploring Operation: 71-16=55, Resulting Numbers: [60, 5, 55] Generated Node #2: [60, 5, 55] from Operation: 71-16=55 Current State: 49:[60, 5, 55], Operations: ['71-16=55'] Exploring Operation: 55/5=11, Resulting Numbers: [60, 11] Generated Node #3: [60, 11] from Operation: 55/5=11 Current State: 49:[60, 11], Operations: ['71-16=55', '55/5=11'] Exploring Operation: 60-11=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 23, 69, 92, 65 ]
81
[ "69/23=3", "92-65=27", "3*27=81" ]
Current State: 81:[23, 69, 92, 65], Operations: [] Exploring Operation: 69/23=3, Resulting Numbers: [92, 65, 3] Generated Node #2: [92, 65, 3] from Operation: 69/23=3 Current State: 81:[92, 65, 3], Operations: ['69/23=3'] Exploring Operation: 92-65=27, Resulting Numbers: [3, 27] Generated Node #3: [3, 27] from Operation: 92-65=27 Current State: 81:[3, 27], Operations: ['69/23=3', '92-65=27'] Exploring Operation: 3*27=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 60, 66, 53, 74 ]
56
[ "60-53=7", "74-66=8", "7*8=56" ]
Current State: 56:[60, 66, 53, 74], Operations: [] Exploring Operation: 60-53=7, Resulting Numbers: [66, 74, 7] Generated Node #2: [66, 74, 7] from Operation: 60-53=7 Current State: 56:[66, 74, 7], Operations: ['60-53=7'] Exploring Operation: 74-66=8, Resulting Numbers: [7, 8] Generated Node #3: [7, 8] from Operation: 74-66=8 Current State: 56:[7, 8], Operations: ['60-53=7', '74-66=8'] Exploring Operation: 7*8=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 26, 68, 97, 86 ]
83
[ "26+68=94", "97-86=11", "94-11=83" ]
Current State: 83:[26, 68, 97, 86], Operations: [] Exploring Operation: 26+68=94, Resulting Numbers: [97, 86, 94] Generated Node #2: [97, 86, 94] from Operation: 26+68=94 Current State: 83:[97, 86, 94], Operations: ['26+68=94'] Exploring Operation: 97-86=11, Resulting Numbers: [94, 11] Generated Node #3: [94, 11] from Operation: 97-86=11 Current State: 83:[94, 11], Operations: ['26+68=94', '97-86=11'] Exploring Operation: 94-11=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 34, 72, 52, 85 ]
89
[ "52-34=18", "72/18=4", "85+4=89" ]
Current State: 89:[34, 72, 52, 85], Operations: [] Exploring Operation: 52-34=18, Resulting Numbers: [72, 85, 18] Generated Node #2: [72, 85, 18] from Operation: 52-34=18 Current State: 89:[72, 85, 18], Operations: ['52-34=18'] Exploring Operation: 72/18=4, Resulting Numbers: [85, 4] Generated Node #3: [85, 4] from Operation: 72/18=4 Current State: 89:[85, 4], Operations: ['52-34=18', '72/18=4'] Exploring Operation: 85+4=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 30, 64, 63, 45 ]
52
[ "64-30=34", "63-45=18", "34+18=52" ]
Current State: 52:[30, 64, 63, 45], Operations: [] Exploring Operation: 64-30=34, Resulting Numbers: [63, 45, 34] Generated Node #2: [63, 45, 34] from Operation: 64-30=34 Current State: 52:[63, 45, 34], Operations: ['64-30=34'] Exploring Operation: 63-45=18, Resulting Numbers: [34, 18] Generated Node #3: [34, 18] from Operation: 63-45=18 Current State: 52:[34, 18], Operations: ['64-30=34', '63-45=18'] Exploring Operation: 34+18=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 86, 81, 31, 13 ]
13
[ "86-81=5", "31-13=18", "18-5=13" ]
Current State: 13:[86, 81, 31, 13], Operations: [] Exploring Operation: 86-81=5, Resulting Numbers: [31, 13, 5] Generated Node #2: [31, 13, 5] from Operation: 86-81=5 Current State: 13:[31, 13, 5], Operations: ['86-81=5'] Exploring Operation: 31-13=18, Resulting Numbers: [5, 18] Generated Node #3: [5, 18] from Operation: 31-13=18 Current State: 13:[5, 18], Operations: ['86-81=5', '31-13=18'] Exploring Operation: 18-5=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 93, 6, 72, 52 ]
27
[ "72-52=20", "6*20=120", "120-93=27" ]
Current State: 27:[93, 6, 72, 52], Operations: [] Exploring Operation: 72-52=20, Resulting Numbers: [93, 6, 20] Generated Node #2: [93, 6, 20] from Operation: 72-52=20 Current State: 27:[93, 6, 20], Operations: ['72-52=20'] Exploring Operation: 6*20=120, Resulting Numbers: [93, 120] Generated Node #3: [93, 120] from Operation: 6*20=120 Current State: 27:[93, 120], Operations: ['72-52=20', '6*20=120'] Exploring Operation: 120-93=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 46, 6, 13, 9 ]
74
[ "46+6=52", "13+9=22", "52+22=74" ]
Current State: 74:[46, 6, 13, 9], Operations: [] Exploring Operation: 46+6=52, Resulting Numbers: [13, 9, 52] Generated Node #2: [13, 9, 52] from Operation: 46+6=52 Current State: 74:[13, 9, 52], Operations: ['46+6=52'] Exploring Operation: 13+9=22, Resulting Numbers: [52, 22] Generated Node #3: [52, 22] from Operation: 13+9=22 Current State: 74:[52, 22], Operations: ['46+6=52', '13+9=22'] Exploring Operation: 52+22=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 33, 64, 50, 16 ]
97
[ "64-33=31", "50+16=66", "31+66=97" ]
Current State: 97:[33, 64, 50, 16], Operations: [] Exploring Operation: 64-33=31, Resulting Numbers: [50, 16, 31] Generated Node #2: [50, 16, 31] from Operation: 64-33=31 Current State: 97:[50, 16, 31], Operations: ['64-33=31'] Exploring Operation: 50+16=66, Resulting Numbers: [31, 66] Generated Node #3: [31, 66] from Operation: 50+16=66 Current State: 97:[31, 66], Operations: ['64-33=31', '50+16=66'] Exploring Operation: 31+66=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 5, 47, 46, 89 ]
20
[ "47+46=93", "93-89=4", "5*4=20" ]
Current State: 20:[5, 47, 46, 89], Operations: [] Exploring Operation: 47+46=93, Resulting Numbers: [5, 89, 93] Generated Node #2: [5, 89, 93] from Operation: 47+46=93 Current State: 20:[5, 89, 93], Operations: ['47+46=93'] Exploring Operation: 93-89=4, Resulting Numbers: [5, 4] Generated Node #3: [5, 4] from Operation: 93-89=4 Current State: 20:[5, 4], Operations: ['47+46=93', '93-89=4'] Exploring Operation: 5*4=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 35, 84, 42, 13 ]
83
[ "35*84=2940", "2940/42=70", "13+70=83" ]
Current State: 83:[35, 84, 42, 13], Operations: [] Exploring Operation: 35*84=2940, Resulting Numbers: [42, 13, 2940] Generated Node #2: [42, 13, 2940] from Operation: 35*84=2940 Current State: 83:[42, 13, 2940], Operations: ['35*84=2940'] Exploring Operation: 2940/42=70, Resulting Numbers: [13, 70] Generated Node #3: [13, 70] from Operation: 2940/42=70 Current State: 83:[13, 70], Operations: ['35*84=2940', '2940/42=70'] Exploring Operation: 13+70=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 58, 81, 43, 35 ]
41
[ "81+35=116", "116/58=2", "43-2=41" ]
Current State: 41:[58, 81, 43, 35], Operations: [] Exploring Operation: 81+35=116, Resulting Numbers: [58, 43, 116] Generated Node #2: [58, 43, 116] from Operation: 81+35=116 Current State: 41:[58, 43, 116], Operations: ['81+35=116'] Exploring Operation: 116/58=2, Resulting Numbers: [43, 2] Generated Node #3: [43, 2] from Operation: 116/58=2 Current State: 41:[43, 2], Operations: ['81+35=116', '116/58=2'] Exploring Operation: 43-2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 47, 70, 19, 14 ]
33
[ "47-19=28", "70/14=5", "28+5=33" ]
Current State: 33:[47, 70, 19, 14], Operations: [] Exploring Operation: 47-19=28, Resulting Numbers: [70, 14, 28] Generated Node #2: [70, 14, 28] from Operation: 47-19=28 Current State: 33:[70, 14, 28], Operations: ['47-19=28'] Exploring Operation: 70/14=5, Resulting Numbers: [28, 5] Generated Node #3: [28, 5] from Operation: 70/14=5 Current State: 33:[28, 5], Operations: ['47-19=28', '70/14=5'] Exploring Operation: 28+5=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 28, 10, 53, 48 ]
14
[ "53-48=5", "28*5=140", "140/10=14" ]
Current State: 14:[28, 10, 53, 48], Operations: [] Exploring Operation: 53-48=5, Resulting Numbers: [28, 10, 5] Generated Node #2: [28, 10, 5] from Operation: 53-48=5 Current State: 14:[28, 10, 5], Operations: ['53-48=5'] Exploring Operation: 28*5=140, Resulting Numbers: [10, 140] Generated Node #3: [10, 140] from Operation: 28*5=140 Current State: 14:[10, 140], Operations: ['53-48=5', '28*5=140'] Exploring Operation: 140/10=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 81, 71, 7, 25 ]
42
[ "81-71=10", "7+25=32", "10+32=42" ]
Current State: 42:[81, 71, 7, 25], Operations: [] Exploring Operation: 81-71=10, Resulting Numbers: [7, 25, 10] Generated Node #2: [7, 25, 10] from Operation: 81-71=10 Current State: 42:[7, 25, 10], Operations: ['81-71=10'] Exploring Operation: 7+25=32, Resulting Numbers: [10, 32] Generated Node #3: [10, 32] from Operation: 7+25=32 Current State: 42:[10, 32], Operations: ['81-71=10', '7+25=32'] Exploring Operation: 10+32=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 19, 81, 12, 40 ]
72
[ "19+81=100", "40-12=28", "100-28=72" ]
Current State: 72:[19, 81, 12, 40], Operations: [] Exploring Operation: 19+81=100, Resulting Numbers: [12, 40, 100] Generated Node #2: [12, 40, 100] from Operation: 19+81=100 Current State: 72:[12, 40, 100], Operations: ['19+81=100'] Exploring Operation: 40-12=28, Resulting Numbers: [100, 28] Generated Node #3: [100, 28] from Operation: 40-12=28 Current State: 72:[100, 28], Operations: ['19+81=100', '40-12=28'] Exploring Operation: 100-28=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 75, 13, 14, 92 ]
39
[ "75+14=89", "92-89=3", "13*3=39" ]
Current State: 39:[75, 13, 14, 92], Operations: [] Exploring Operation: 75+14=89, Resulting Numbers: [13, 92, 89] Generated Node #2: [13, 92, 89] from Operation: 75+14=89 Current State: 39:[13, 92, 89], Operations: ['75+14=89'] Exploring Operation: 92-89=3, Resulting Numbers: [13, 3] Generated Node #3: [13, 3] from Operation: 92-89=3 Current State: 39:[13, 3], Operations: ['75+14=89', '92-89=3'] Exploring Operation: 13*3=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 85, 9, 54, 55 ]
24
[ "85-55=30", "54/9=6", "30-6=24" ]
Current State: 24:[85, 9, 54, 55], Operations: [] Exploring Operation: 85-55=30, Resulting Numbers: [9, 54, 30] Generated Node #2: [9, 54, 30] from Operation: 85-55=30 Current State: 24:[9, 54, 30], Operations: ['85-55=30'] Exploring Operation: 54/9=6, Resulting Numbers: [30, 6] Generated Node #3: [30, 6] from Operation: 54/9=6 Current State: 24:[30, 6], Operations: ['85-55=30', '54/9=6'] Exploring Operation: 30-6=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 46, 4, 97, 92 ]
47
[ "46-4=42", "97-92=5", "42+5=47" ]
Current State: 47:[46, 4, 97, 92], Operations: [] Exploring Operation: 46-4=42, Resulting Numbers: [97, 92, 42] Generated Node #2: [97, 92, 42] from Operation: 46-4=42 Current State: 47:[97, 92, 42], Operations: ['46-4=42'] Exploring Operation: 97-92=5, Resulting Numbers: [42, 5] Generated Node #3: [42, 5] from Operation: 97-92=5 Current State: 47:[42, 5], Operations: ['46-4=42', '97-92=5'] Exploring Operation: 42+5=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 60, 19, 49, 91 ]
99
[ "60-19=41", "49+91=140", "140-41=99" ]
Current State: 99:[60, 19, 49, 91], Operations: [] Exploring Operation: 60-19=41, Resulting Numbers: [49, 91, 41] Generated Node #2: [49, 91, 41] from Operation: 60-19=41 Current State: 99:[49, 91, 41], Operations: ['60-19=41'] Exploring Operation: 49+91=140, Resulting Numbers: [41, 140] Generated Node #3: [41, 140] from Operation: 49+91=140 Current State: 99:[41, 140], Operations: ['60-19=41', '49+91=140'] Exploring Operation: 140-41=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 8, 82, 88, 34 ]
59
[ "88/8=11", "82-34=48", "11+48=59" ]
Current State: 59:[8, 82, 88, 34], Operations: [] Exploring Operation: 88/8=11, Resulting Numbers: [82, 34, 11] Generated Node #2: [82, 34, 11] from Operation: 88/8=11 Current State: 59:[82, 34, 11], Operations: ['88/8=11'] Exploring Operation: 82-34=48, Resulting Numbers: [11, 48] Generated Node #3: [11, 48] from Operation: 82-34=48 Current State: 59:[11, 48], Operations: ['88/8=11', '82-34=48'] Exploring Operation: 11+48=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 52, 11, 5, 67 ]
86
[ "67-52=15", "5*15=75", "11+75=86" ]
Current State: 86:[52, 11, 5, 67], Operations: [] Exploring Operation: 67-52=15, Resulting Numbers: [11, 5, 15] Generated Node #2: [11, 5, 15] from Operation: 67-52=15 Current State: 86:[11, 5, 15], Operations: ['67-52=15'] Exploring Operation: 5*15=75, Resulting Numbers: [11, 75] Generated Node #3: [11, 75] from Operation: 5*15=75 Current State: 86:[11, 75], Operations: ['67-52=15', '5*15=75'] Exploring Operation: 11+75=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 28, 58, 11, 37 ]
56
[ "58-28=30", "37-11=26", "30+26=56" ]
Current State: 56:[28, 58, 11, 37], Operations: [] Exploring Operation: 58-28=30, Resulting Numbers: [11, 37, 30] Generated Node #2: [11, 37, 30] from Operation: 58-28=30 Current State: 56:[11, 37, 30], Operations: ['58-28=30'] Exploring Operation: 37-11=26, Resulting Numbers: [30, 26] Generated Node #3: [30, 26] from Operation: 37-11=26 Current State: 56:[30, 26], Operations: ['58-28=30', '37-11=26'] Exploring Operation: 30+26=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 15, 82, 9, 59 ]
29
[ "15+82=97", "9+59=68", "97-68=29" ]
Current State: 29:[15, 82, 9, 59], Operations: [] Exploring Operation: 15+82=97, Resulting Numbers: [9, 59, 97] Generated Node #2: [9, 59, 97] from Operation: 15+82=97 Current State: 29:[9, 59, 97], Operations: ['15+82=97'] Exploring Operation: 9+59=68, Resulting Numbers: [97, 68] Generated Node #3: [97, 68] from Operation: 9+59=68 Current State: 29:[97, 68], Operations: ['15+82=97', '9+59=68'] Exploring Operation: 97-68=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 37, 92, 36, 47 ]
28
[ "92-37=55", "36+47=83", "83-55=28" ]
Current State: 28:[37, 92, 36, 47], Operations: [] Exploring Operation: 92-37=55, Resulting Numbers: [36, 47, 55] Generated Node #2: [36, 47, 55] from Operation: 92-37=55 Current State: 28:[36, 47, 55], Operations: ['92-37=55'] Exploring Operation: 36+47=83, Resulting Numbers: [55, 83] Generated Node #3: [55, 83] from Operation: 36+47=83 Current State: 28:[55, 83], Operations: ['92-37=55', '36+47=83'] Exploring Operation: 83-55=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 35, 66, 66, 51 ]
16
[ "35+66=101", "66+51=117", "117-101=16" ]
Current State: 16:[35, 66, 66, 51], Operations: [] Exploring Operation: 35+66=101, Resulting Numbers: [51, 101] Generated Node #2: [51, 101] from Operation: 35+66=101 Current State: 16:[51, 101], Operations: ['35+66=101'] Exploring Operation: 66+51=117, Resulting Numbers: [101, 117] Generated Node #3: [101, 117] from Operation: 66+51=117 Current State: 16:[101, 117], Operations: ['35+66=101', '66+51=117'] Exploring Operation: 117-101=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 17, 64, 11, 4 ]
32
[ "64-17=47", "11+4=15", "47-15=32" ]
Current State: 32:[17, 64, 11, 4], Operations: [] Exploring Operation: 64-17=47, Resulting Numbers: [11, 4, 47] Generated Node #2: [11, 4, 47] from Operation: 64-17=47 Current State: 32:[11, 4, 47], Operations: ['64-17=47'] Exploring Operation: 11+4=15, Resulting Numbers: [47, 15] Generated Node #3: [47, 15] from Operation: 11+4=15 Current State: 32:[47, 15], Operations: ['64-17=47', '11+4=15'] Exploring Operation: 47-15=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 5, 80, 32, 58 ]
15
[ "80-5=75", "32+58=90", "90-75=15" ]
Current State: 15:[5, 80, 32, 58], Operations: [] Exploring Operation: 80-5=75, Resulting Numbers: [32, 58, 75] Generated Node #2: [32, 58, 75] from Operation: 80-5=75 Current State: 15:[32, 58, 75], Operations: ['80-5=75'] Exploring Operation: 32+58=90, Resulting Numbers: [75, 90] Generated Node #3: [75, 90] from Operation: 32+58=90 Current State: 15:[75, 90], Operations: ['80-5=75', '32+58=90'] Exploring Operation: 90-75=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 34, 41, 37, 20 ]
18
[ "34+41=75", "37+20=57", "75-57=18" ]
Current State: 18:[34, 41, 37, 20], Operations: [] Exploring Operation: 34+41=75, Resulting Numbers: [37, 20, 75] Generated Node #2: [37, 20, 75] from Operation: 34+41=75 Current State: 18:[37, 20, 75], Operations: ['34+41=75'] Exploring Operation: 37+20=57, Resulting Numbers: [75, 57] Generated Node #3: [75, 57] from Operation: 37+20=57 Current State: 18:[75, 57], Operations: ['34+41=75', '37+20=57'] Exploring Operation: 75-57=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 21, 51, 82, 19 ]
17
[ "21*51=1071", "82-19=63", "1071/63=17" ]
Current State: 17:[21, 51, 82, 19], Operations: [] Exploring Operation: 21*51=1071, Resulting Numbers: [82, 19, 1071] Generated Node #2: [82, 19, 1071] from Operation: 21*51=1071 Current State: 17:[82, 19, 1071], Operations: ['21*51=1071'] Exploring Operation: 82-19=63, Resulting Numbers: [1071, 63] Generated Node #3: [1071, 63] from Operation: 82-19=63 Current State: 17:[1071, 63], Operations: ['21*51=1071', '82-19=63'] Exploring Operation: 1071/63=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 84, 34, 55, 33 ]
72
[ "84-34=50", "55-33=22", "50+22=72" ]
Current State: 72:[84, 34, 55, 33], Operations: [] Exploring Operation: 84-34=50, Resulting Numbers: [55, 33, 50] Generated Node #2: [55, 33, 50] from Operation: 84-34=50 Current State: 72:[55, 33, 50], Operations: ['84-34=50'] Exploring Operation: 55-33=22, Resulting Numbers: [50, 22] Generated Node #3: [50, 22] from Operation: 55-33=22 Current State: 72:[50, 22], Operations: ['84-34=50', '55-33=22'] Exploring Operation: 50+22=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 65, 67, 21, 17 ]
69
[ "67+17=84", "84/21=4", "65+4=69" ]
Current State: 69:[65, 67, 21, 17], Operations: [] Exploring Operation: 67+17=84, Resulting Numbers: [65, 21, 84] Generated Node #2: [65, 21, 84] from Operation: 67+17=84 Current State: 69:[65, 21, 84], Operations: ['67+17=84'] Exploring Operation: 84/21=4, Resulting Numbers: [65, 4] Generated Node #3: [65, 4] from Operation: 84/21=4 Current State: 69:[65, 4], Operations: ['67+17=84', '84/21=4'] Exploring Operation: 65+4=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 30, 99, 16, 16 ]
69
[ "99-30=69", "16-16=0", "69+0=69" ]
Current State: 69:[30, 99, 16, 16], Operations: [] Exploring Operation: 99-30=69, Resulting Numbers: [16, 16, 69] Generated Node #2: [16, 16, 69] from Operation: 99-30=69 Current State: 69:[16, 16, 69], Operations: ['99-30=69'] Exploring Operation: 16-16=0, Resulting Numbers: [69, 0] Generated Node #3: [69, 0] from Operation: 16-16=0 Current State: 69:[69, 0], Operations: ['99-30=69', '16-16=0'] Exploring Operation: 69+0=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 4, 94, 68, 89 ]
12
[ "68/4=17", "94-89=5", "17-5=12" ]
Current State: 12:[4, 94, 68, 89], Operations: [] Exploring Operation: 68/4=17, Resulting Numbers: [94, 89, 17] Generated Node #2: [94, 89, 17] from Operation: 68/4=17 Current State: 12:[94, 89, 17], Operations: ['68/4=17'] Exploring Operation: 94-89=5, Resulting Numbers: [17, 5] Generated Node #3: [17, 5] from Operation: 94-89=5 Current State: 12:[17, 5], Operations: ['68/4=17', '94-89=5'] Exploring Operation: 17-5=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 31, 36, 5, 52 ]
10
[ "31+36=67", "5+52=57", "67-57=10" ]
Current State: 10:[31, 36, 5, 52], Operations: [] Exploring Operation: 31+36=67, Resulting Numbers: [5, 52, 67] Generated Node #2: [5, 52, 67] from Operation: 31+36=67 Current State: 10:[5, 52, 67], Operations: ['31+36=67'] Exploring Operation: 5+52=57, Resulting Numbers: [67, 57] Generated Node #3: [67, 57] from Operation: 5+52=57 Current State: 10:[67, 57], Operations: ['31+36=67', '5+52=57'] Exploring Operation: 67-57=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 80, 96, 30, 4 ]
46
[ "80/4=20", "96-30=66", "66-20=46" ]
Current State: 46:[80, 96, 30, 4], Operations: [] Exploring Operation: 80/4=20, Resulting Numbers: [96, 30, 20] Generated Node #2: [96, 30, 20] from Operation: 80/4=20 Current State: 46:[96, 30, 20], Operations: ['80/4=20'] Exploring Operation: 96-30=66, Resulting Numbers: [20, 66] Generated Node #3: [20, 66] from Operation: 96-30=66 Current State: 46:[20, 66], Operations: ['80/4=20', '96-30=66'] Exploring Operation: 66-20=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 67, 51, 52, 70 ]
35
[ "70-67=3", "51/3=17", "52-17=35" ]
Current State: 35:[67, 51, 52, 70], Operations: [] Exploring Operation: 70-67=3, Resulting Numbers: [51, 52, 3] Generated Node #2: [51, 52, 3] from Operation: 70-67=3 Current State: 35:[51, 52, 3], Operations: ['70-67=3'] Exploring Operation: 51/3=17, Resulting Numbers: [52, 17] Generated Node #3: [52, 17] from Operation: 51/3=17 Current State: 35:[52, 17], Operations: ['70-67=3', '51/3=17'] Exploring Operation: 52-17=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 71, 55, 96, 62 ]
56
[ "71-55=16", "96/16=6", "62-6=56" ]
Current State: 56:[71, 55, 96, 62], Operations: [] Exploring Operation: 71-55=16, Resulting Numbers: [96, 62, 16] Generated Node #2: [96, 62, 16] from Operation: 71-55=16 Current State: 56:[96, 62, 16], Operations: ['71-55=16'] Exploring Operation: 96/16=6, Resulting Numbers: [62, 6] Generated Node #3: [62, 6] from Operation: 96/16=6 Current State: 56:[62, 6], Operations: ['71-55=16', '96/16=6'] Exploring Operation: 62-6=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 69, 81, 37, 79 ]
77
[ "69+79=148", "148/37=4", "81-4=77" ]
Current State: 77:[69, 81, 37, 79], Operations: [] Exploring Operation: 69+79=148, Resulting Numbers: [81, 37, 148] Generated Node #2: [81, 37, 148] from Operation: 69+79=148 Current State: 77:[81, 37, 148], Operations: ['69+79=148'] Exploring Operation: 148/37=4, Resulting Numbers: [81, 4] Generated Node #3: [81, 4] from Operation: 148/37=4 Current State: 77:[81, 4], Operations: ['69+79=148', '148/37=4'] Exploring Operation: 81-4=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 14, 63, 42, 41 ]
49
[ "63-14=49", "42-41=1", "49*1=49" ]
Current State: 49:[14, 63, 42, 41], Operations: [] Exploring Operation: 63-14=49, Resulting Numbers: [42, 41, 49] Generated Node #2: [42, 41, 49] from Operation: 63-14=49 Current State: 49:[42, 41, 49], Operations: ['63-14=49'] Exploring Operation: 42-41=1, Resulting Numbers: [49, 1] Generated Node #3: [49, 1] from Operation: 42-41=1 Current State: 49:[49, 1], Operations: ['63-14=49', '42-41=1'] Exploring Operation: 49*1=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 15, 52, 5, 50 ]
82
[ "52-15=37", "50-5=45", "37+45=82" ]
Current State: 82:[15, 52, 5, 50], Operations: [] Exploring Operation: 52-15=37, Resulting Numbers: [5, 50, 37] Generated Node #2: [5, 50, 37] from Operation: 52-15=37 Current State: 82:[5, 50, 37], Operations: ['52-15=37'] Exploring Operation: 50-5=45, Resulting Numbers: [37, 45] Generated Node #3: [37, 45] from Operation: 50-5=45 Current State: 82:[37, 45], Operations: ['52-15=37', '50-5=45'] Exploring Operation: 37+45=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 11, 57, 2, 37 ]
88
[ "37-11=26", "57*2=114", "114-26=88" ]
Current State: 88:[11, 57, 2, 37], Operations: [] Exploring Operation: 37-11=26, Resulting Numbers: [57, 2, 26] Generated Node #2: [57, 2, 26] from Operation: 37-11=26 Current State: 88:[57, 2, 26], Operations: ['37-11=26'] Exploring Operation: 57*2=114, Resulting Numbers: [26, 114] Generated Node #3: [26, 114] from Operation: 57*2=114 Current State: 88:[26, 114], Operations: ['37-11=26', '57*2=114'] Exploring Operation: 114-26=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 35, 30, 36, 51 ]
96
[ "51-35=16", "36-30=6", "16*6=96" ]
Current State: 96:[35, 30, 36, 51], Operations: [] Exploring Operation: 51-35=16, Resulting Numbers: [30, 36, 16] Generated Node #2: [30, 36, 16] from Operation: 51-35=16 Current State: 96:[30, 36, 16], Operations: ['51-35=16'] Exploring Operation: 36-30=6, Resulting Numbers: [16, 6] Generated Node #3: [16, 6] from Operation: 36-30=6 Current State: 96:[16, 6], Operations: ['51-35=16', '36-30=6'] Exploring Operation: 16*6=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 20, 34, 60, 2 ]
97
[ "20+60=80", "34/2=17", "80+17=97" ]
Current State: 97:[20, 34, 60, 2], Operations: [] Exploring Operation: 20+60=80, Resulting Numbers: [34, 2, 80] Generated Node #2: [34, 2, 80] from Operation: 20+60=80 Current State: 97:[34, 2, 80], Operations: ['20+60=80'] Exploring Operation: 34/2=17, Resulting Numbers: [80, 17] Generated Node #3: [80, 17] from Operation: 34/2=17 Current State: 97:[80, 17], Operations: ['20+60=80', '34/2=17'] Exploring Operation: 80+17=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 3, 66, 44, 71 ]
88
[ "3+66=69", "71-69=2", "44*2=88" ]
Current State: 88:[3, 66, 44, 71], Operations: [] Exploring Operation: 3+66=69, Resulting Numbers: [44, 71, 69] Generated Node #2: [44, 71, 69] from Operation: 3+66=69 Current State: 88:[44, 71, 69], Operations: ['3+66=69'] Exploring Operation: 71-69=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 71-69=2 Current State: 88:[44, 2], Operations: ['3+66=69', '71-69=2'] Exploring Operation: 44*2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 15, 81, 41, 75 ]
20
[ "15+81=96", "41+75=116", "116-96=20" ]
Current State: 20:[15, 81, 41, 75], Operations: [] Exploring Operation: 15+81=96, Resulting Numbers: [41, 75, 96] Generated Node #2: [41, 75, 96] from Operation: 15+81=96 Current State: 20:[41, 75, 96], Operations: ['15+81=96'] Exploring Operation: 41+75=116, Resulting Numbers: [96, 116] Generated Node #3: [96, 116] from Operation: 41+75=116 Current State: 20:[96, 116], Operations: ['15+81=96', '41+75=116'] Exploring Operation: 116-96=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 79, 16, 61, 2 ]
25
[ "79-61=18", "18/2=9", "16+9=25" ]
Current State: 25:[79, 16, 61, 2], Operations: [] Exploring Operation: 79-61=18, Resulting Numbers: [16, 2, 18] Generated Node #2: [16, 2, 18] from Operation: 79-61=18 Current State: 25:[16, 2, 18], Operations: ['79-61=18'] Exploring Operation: 18/2=9, Resulting Numbers: [16, 9] Generated Node #3: [16, 9] from Operation: 18/2=9 Current State: 25:[16, 9], Operations: ['79-61=18', '18/2=9'] Exploring Operation: 16+9=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 8, 71, 14, 25 ]
17
[ "25-14=11", "8*11=88", "88-71=17" ]
Current State: 17:[8, 71, 14, 25], Operations: [] Exploring Operation: 25-14=11, Resulting Numbers: [8, 71, 11] Generated Node #2: [8, 71, 11] from Operation: 25-14=11 Current State: 17:[8, 71, 11], Operations: ['25-14=11'] Exploring Operation: 8*11=88, Resulting Numbers: [71, 88] Generated Node #3: [71, 88] from Operation: 8*11=88 Current State: 17:[71, 88], Operations: ['25-14=11', '8*11=88'] Exploring Operation: 88-71=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 35, 65, 25, 26 ]
31
[ "65-35=30", "26-25=1", "30+1=31" ]
Current State: 31:[35, 65, 25, 26], Operations: [] Exploring Operation: 65-35=30, Resulting Numbers: [25, 26, 30] Generated Node #2: [25, 26, 30] from Operation: 65-35=30 Current State: 31:[25, 26, 30], Operations: ['65-35=30'] Exploring Operation: 26-25=1, Resulting Numbers: [30, 1] Generated Node #3: [30, 1] from Operation: 26-25=1 Current State: 31:[30, 1], Operations: ['65-35=30', '26-25=1'] Exploring Operation: 30+1=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 52, 86, 6, 52 ]
24
[ "86-52=34", "6+52=58", "58-34=24" ]
Current State: 24:[52, 86, 6, 52], Operations: [] Exploring Operation: 86-52=34, Resulting Numbers: [6, 34] Generated Node #2: [6, 34] from Operation: 86-52=34 Current State: 24:[6, 34], Operations: ['86-52=34'] Exploring Operation: 6+52=58, Resulting Numbers: [34, 58] Generated Node #3: [34, 58] from Operation: 6+52=58 Current State: 24:[34, 58], Operations: ['86-52=34', '6+52=58'] Exploring Operation: 58-34=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 26, 45, 76, 12 ]
69
[ "45-26=19", "76+12=88", "88-19=69" ]
Current State: 69:[26, 45, 76, 12], Operations: [] Exploring Operation: 45-26=19, Resulting Numbers: [76, 12, 19] Generated Node #2: [76, 12, 19] from Operation: 45-26=19 Current State: 69:[76, 12, 19], Operations: ['45-26=19'] Exploring Operation: 76+12=88, Resulting Numbers: [19, 88] Generated Node #3: [19, 88] from Operation: 76+12=88 Current State: 69:[19, 88], Operations: ['45-26=19', '76+12=88'] Exploring Operation: 88-19=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 33, 44, 34, 86 ]
25
[ "33+44=77", "86-34=52", "77-52=25" ]
Current State: 25:[33, 44, 34, 86], Operations: [] Exploring Operation: 33+44=77, Resulting Numbers: [34, 86, 77] Generated Node #2: [34, 86, 77] from Operation: 33+44=77 Current State: 25:[34, 86, 77], Operations: ['33+44=77'] Exploring Operation: 86-34=52, Resulting Numbers: [77, 52] Generated Node #3: [77, 52] from Operation: 86-34=52 Current State: 25:[77, 52], Operations: ['33+44=77', '86-34=52'] Exploring Operation: 77-52=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 44, 11, 21, 24 ]
100
[ "44+11=55", "21+24=45", "55+45=100" ]
Current State: 100:[44, 11, 21, 24], Operations: [] Exploring Operation: 44+11=55, Resulting Numbers: [21, 24, 55] Generated Node #2: [21, 24, 55] from Operation: 44+11=55 Current State: 100:[21, 24, 55], Operations: ['44+11=55'] Exploring Operation: 21+24=45, Resulting Numbers: [55, 45] Generated Node #3: [55, 45] from Operation: 21+24=45 Current State: 100:[55, 45], Operations: ['44+11=55', '21+24=45'] Exploring Operation: 55+45=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 40, 47, 20, 30 ]
77
[ "40+47=87", "30-20=10", "87-10=77" ]
Current State: 77:[40, 47, 20, 30], Operations: [] Exploring Operation: 40+47=87, Resulting Numbers: [20, 30, 87] Generated Node #2: [20, 30, 87] from Operation: 40+47=87 Current State: 77:[20, 30, 87], Operations: ['40+47=87'] Exploring Operation: 30-20=10, Resulting Numbers: [87, 10] Generated Node #3: [87, 10] from Operation: 30-20=10 Current State: 77:[87, 10], Operations: ['40+47=87', '30-20=10'] Exploring Operation: 87-10=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 14, 5, 44, 47 ]
29
[ "47-44=3", "5*3=15", "14+15=29" ]
Current State: 29:[14, 5, 44, 47], Operations: [] Exploring Operation: 47-44=3, Resulting Numbers: [14, 5, 3] Generated Node #2: [14, 5, 3] from Operation: 47-44=3 Current State: 29:[14, 5, 3], Operations: ['47-44=3'] Exploring Operation: 5*3=15, Resulting Numbers: [14, 15] Generated Node #3: [14, 15] from Operation: 5*3=15 Current State: 29:[14, 15], Operations: ['47-44=3', '5*3=15'] Exploring Operation: 14+15=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 71, 3, 19, 45 ]
83
[ "71-19=52", "3*45=135", "135-52=83" ]
Current State: 83:[71, 3, 19, 45], Operations: [] Exploring Operation: 71-19=52, Resulting Numbers: [3, 45, 52] Generated Node #2: [3, 45, 52] from Operation: 71-19=52 Current State: 83:[3, 45, 52], Operations: ['71-19=52'] Exploring Operation: 3*45=135, Resulting Numbers: [52, 135] Generated Node #3: [52, 135] from Operation: 3*45=135 Current State: 83:[52, 135], Operations: ['71-19=52', '3*45=135'] Exploring Operation: 135-52=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 98, 40, 48, 16 ]
30
[ "48-40=8", "16*8=128", "128-98=30" ]
Current State: 30:[98, 40, 48, 16], Operations: [] Exploring Operation: 48-40=8, Resulting Numbers: [98, 16, 8] Generated Node #2: [98, 16, 8] from Operation: 48-40=8 Current State: 30:[98, 16, 8], Operations: ['48-40=8'] Exploring Operation: 16*8=128, Resulting Numbers: [98, 128] Generated Node #3: [98, 128] from Operation: 16*8=128 Current State: 30:[98, 128], Operations: ['48-40=8', '16*8=128'] Exploring Operation: 128-98=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 76, 6, 11, 22 ]
49
[ "76+6=82", "11+22=33", "82-33=49" ]
Current State: 49:[76, 6, 11, 22], Operations: [] Exploring Operation: 76+6=82, Resulting Numbers: [11, 22, 82] Generated Node #2: [11, 22, 82] from Operation: 76+6=82 Current State: 49:[11, 22, 82], Operations: ['76+6=82'] Exploring Operation: 11+22=33, Resulting Numbers: [82, 33] Generated Node #3: [82, 33] from Operation: 11+22=33 Current State: 49:[82, 33], Operations: ['76+6=82', '11+22=33'] Exploring Operation: 82-33=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 49, 20, 64, 45 ]
60
[ "64-49=15", "20*45=900", "900/15=60" ]
Current State: 60:[49, 20, 64, 45], Operations: [] Exploring Operation: 64-49=15, Resulting Numbers: [20, 45, 15] Generated Node #2: [20, 45, 15] from Operation: 64-49=15 Current State: 60:[20, 45, 15], Operations: ['64-49=15'] Exploring Operation: 20*45=900, Resulting Numbers: [15, 900] Generated Node #3: [15, 900] from Operation: 20*45=900 Current State: 60:[15, 900], Operations: ['64-49=15', '20*45=900'] Exploring Operation: 900/15=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 78, 50, 88, 27 ]
87
[ "78-50=28", "88+27=115", "115-28=87" ]
Current State: 87:[78, 50, 88, 27], Operations: [] Exploring Operation: 78-50=28, Resulting Numbers: [88, 27, 28] Generated Node #2: [88, 27, 28] from Operation: 78-50=28 Current State: 87:[88, 27, 28], Operations: ['78-50=28'] Exploring Operation: 88+27=115, Resulting Numbers: [28, 115] Generated Node #3: [28, 115] from Operation: 88+27=115 Current State: 87:[28, 115], Operations: ['78-50=28', '88+27=115'] Exploring Operation: 115-28=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 35, 2, 25, 51 ]
68
[ "35+51=86", "86/2=43", "25+43=68" ]
Current State: 68:[35, 2, 25, 51], Operations: [] Exploring Operation: 35+51=86, Resulting Numbers: [2, 25, 86] Generated Node #2: [2, 25, 86] from Operation: 35+51=86 Current State: 68:[2, 25, 86], Operations: ['35+51=86'] Exploring Operation: 86/2=43, Resulting Numbers: [25, 43] Generated Node #3: [25, 43] from Operation: 86/2=43 Current State: 68:[25, 43], Operations: ['35+51=86', '86/2=43'] Exploring Operation: 25+43=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 72, 11, 33, 66 ]
45
[ "72*11=792", "792/66=12", "33+12=45" ]
Current State: 45:[72, 11, 33, 66], Operations: [] Exploring Operation: 72*11=792, Resulting Numbers: [33, 66, 792] Generated Node #2: [33, 66, 792] from Operation: 72*11=792 Current State: 45:[33, 66, 792], Operations: ['72*11=792'] Exploring Operation: 792/66=12, Resulting Numbers: [33, 12] Generated Node #3: [33, 12] from Operation: 792/66=12 Current State: 45:[33, 12], Operations: ['72*11=792', '792/66=12'] Exploring Operation: 33+12=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 54, 73, 48, 75 ]
42
[ "75-73=2", "48*2=96", "96-54=42" ]
Current State: 42:[54, 73, 48, 75], Operations: [] Exploring Operation: 75-73=2, Resulting Numbers: [54, 48, 2] Generated Node #2: [54, 48, 2] from Operation: 75-73=2 Current State: 42:[54, 48, 2], Operations: ['75-73=2'] Exploring Operation: 48*2=96, Resulting Numbers: [54, 96] Generated Node #3: [54, 96] from Operation: 48*2=96 Current State: 42:[54, 96], Operations: ['75-73=2', '48*2=96'] Exploring Operation: 96-54=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 61, 30, 59, 42 ]
54
[ "61-59=2", "42*2=84", "84-30=54" ]
Current State: 54:[61, 30, 59, 42], Operations: [] Exploring Operation: 61-59=2, Resulting Numbers: [30, 42, 2] Generated Node #2: [30, 42, 2] from Operation: 61-59=2 Current State: 54:[30, 42, 2], Operations: ['61-59=2'] Exploring Operation: 42*2=84, Resulting Numbers: [30, 84] Generated Node #3: [30, 84] from Operation: 42*2=84 Current State: 54:[30, 84], Operations: ['61-59=2', '42*2=84'] Exploring Operation: 84-30=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 46, 60, 3, 20 ]
86
[ "46+20=66", "60/3=20", "66+20=86" ]
Current State: 86:[46, 60, 3, 20], Operations: [] Exploring Operation: 46+20=66, Resulting Numbers: [60, 3, 66] Generated Node #2: [60, 3, 66] from Operation: 46+20=66 Current State: 86:[60, 3, 66], Operations: ['46+20=66'] Exploring Operation: 60/3=20, Resulting Numbers: [66, 20] Generated Node #3: [66, 20] from Operation: 60/3=20 Current State: 86:[66, 20], Operations: ['46+20=66', '60/3=20'] Exploring Operation: 66+20=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 63, 41, 94, 70 ]
80
[ "63+41=104", "94-70=24", "104-24=80" ]
Current State: 80:[63, 41, 94, 70], Operations: [] Exploring Operation: 63+41=104, Resulting Numbers: [94, 70, 104] Generated Node #2: [94, 70, 104] from Operation: 63+41=104 Current State: 80:[94, 70, 104], Operations: ['63+41=104'] Exploring Operation: 94-70=24, Resulting Numbers: [104, 24] Generated Node #3: [104, 24] from Operation: 94-70=24 Current State: 80:[104, 24], Operations: ['63+41=104', '94-70=24'] Exploring Operation: 104-24=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 70, 18, 39, 30 ]
35
[ "39-30=9", "70*9=630", "630/18=35" ]
Current State: 35:[70, 18, 39, 30], Operations: [] Exploring Operation: 39-30=9, Resulting Numbers: [70, 18, 9] Generated Node #2: [70, 18, 9] from Operation: 39-30=9 Current State: 35:[70, 18, 9], Operations: ['39-30=9'] Exploring Operation: 70*9=630, Resulting Numbers: [18, 630] Generated Node #3: [18, 630] from Operation: 70*9=630 Current State: 35:[18, 630], Operations: ['39-30=9', '70*9=630'] Exploring Operation: 630/18=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 33, 21, 85, 99 ]
26
[ "33-21=12", "99-85=14", "12+14=26" ]
Current State: 26:[33, 21, 85, 99], Operations: [] Exploring Operation: 33-21=12, Resulting Numbers: [85, 99, 12] Generated Node #2: [85, 99, 12] from Operation: 33-21=12 Current State: 26:[85, 99, 12], Operations: ['33-21=12'] Exploring Operation: 99-85=14, Resulting Numbers: [12, 14] Generated Node #3: [12, 14] from Operation: 99-85=14 Current State: 26:[12, 14], Operations: ['33-21=12', '99-85=14'] Exploring Operation: 12+14=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 53, 86, 67, 98 ]
79
[ "67-53=14", "98/14=7", "86-7=79" ]
Current State: 79:[53, 86, 67, 98], Operations: [] Exploring Operation: 67-53=14, Resulting Numbers: [86, 98, 14] Generated Node #2: [86, 98, 14] from Operation: 67-53=14 Current State: 79:[86, 98, 14], Operations: ['67-53=14'] Exploring Operation: 98/14=7, Resulting Numbers: [86, 7] Generated Node #3: [86, 7] from Operation: 98/14=7 Current State: 79:[86, 7], Operations: ['67-53=14', '98/14=7'] Exploring Operation: 86-7=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 2, 80, 32, 34 ]
79
[ "2+32=34", "34/34=1", "80-1=79" ]
Current State: 79:[2, 80, 32, 34], Operations: [] Exploring Operation: 2+32=34, Resulting Numbers: [80, 34, 34] Generated Node #2: [80, 34, 34] from Operation: 2+32=34 Current State: 79:[80, 34, 34], Operations: ['2+32=34'] Exploring Operation: 34/34=1, Resulting Numbers: [80, 1] Generated Node #3: [80, 1] from Operation: 34/34=1 Current State: 79:[80, 1], Operations: ['2+32=34', '34/34=1'] Exploring Operation: 80-1=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 24, 58, 76, 82 ]
62
[ "82-76=6", "24/6=4", "58+4=62" ]
Current State: 62:[24, 58, 76, 82], Operations: [] Exploring Operation: 82-76=6, Resulting Numbers: [24, 58, 6] Generated Node #2: [24, 58, 6] from Operation: 82-76=6 Current State: 62:[24, 58, 6], Operations: ['82-76=6'] Exploring Operation: 24/6=4, Resulting Numbers: [58, 4] Generated Node #3: [58, 4] from Operation: 24/6=4 Current State: 62:[58, 4], Operations: ['82-76=6', '24/6=4'] Exploring Operation: 58+4=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 67, 95, 57, 43 ]
40
[ "67-43=24", "95*24=2280", "2280/57=40" ]
Current State: 40:[67, 95, 57, 43], Operations: [] Exploring Operation: 67-43=24, Resulting Numbers: [95, 57, 24] Generated Node #2: [95, 57, 24] from Operation: 67-43=24 Current State: 40:[95, 57, 24], Operations: ['67-43=24'] Exploring Operation: 95*24=2280, Resulting Numbers: [57, 2280] Generated Node #3: [57, 2280] from Operation: 95*24=2280 Current State: 40:[57, 2280], Operations: ['67-43=24', '95*24=2280'] Exploring Operation: 2280/57=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 40, 46, 1, 51 ]
56
[ "46-40=6", "51-1=50", "6+50=56" ]
Current State: 56:[40, 46, 1, 51], Operations: [] Exploring Operation: 46-40=6, Resulting Numbers: [1, 51, 6] Generated Node #2: [1, 51, 6] from Operation: 46-40=6 Current State: 56:[1, 51, 6], Operations: ['46-40=6'] Exploring Operation: 51-1=50, Resulting Numbers: [6, 50] Generated Node #3: [6, 50] from Operation: 51-1=50 Current State: 56:[6, 50], Operations: ['46-40=6', '51-1=50'] Exploring Operation: 6+50=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 72, 29, 58, 27 ]
97
[ "72+27=99", "58/29=2", "99-2=97" ]
Current State: 97:[72, 29, 58, 27], Operations: [] Exploring Operation: 72+27=99, Resulting Numbers: [29, 58, 99] Generated Node #2: [29, 58, 99] from Operation: 72+27=99 Current State: 97:[29, 58, 99], Operations: ['72+27=99'] Exploring Operation: 58/29=2, Resulting Numbers: [99, 2] Generated Node #3: [99, 2] from Operation: 58/29=2 Current State: 97:[99, 2], Operations: ['72+27=99', '58/29=2'] Exploring Operation: 99-2=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 19, 53, 38, 34 ]
89
[ "38/19=2", "53+34=87", "2+87=89" ]
Current State: 89:[19, 53, 38, 34], Operations: [] Exploring Operation: 38/19=2, Resulting Numbers: [53, 34, 2] Generated Node #2: [53, 34, 2] from Operation: 38/19=2 Current State: 89:[53, 34, 2], Operations: ['38/19=2'] Exploring Operation: 53+34=87, Resulting Numbers: [2, 87] Generated Node #3: [2, 87] from Operation: 53+34=87 Current State: 89:[2, 87], Operations: ['38/19=2', '53+34=87'] Exploring Operation: 2+87=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 72, 25, 56, 10 ]
93
[ "72-25=47", "56-10=46", "47+46=93" ]
Current State: 93:[72, 25, 56, 10], Operations: [] Exploring Operation: 72-25=47, Resulting Numbers: [56, 10, 47] Generated Node #2: [56, 10, 47] from Operation: 72-25=47 Current State: 93:[56, 10, 47], Operations: ['72-25=47'] Exploring Operation: 56-10=46, Resulting Numbers: [47, 46] Generated Node #3: [47, 46] from Operation: 56-10=46 Current State: 93:[47, 46], Operations: ['72-25=47', '56-10=46'] Exploring Operation: 47+46=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 16, 96, 19, 11 ]
98
[ "19-11=8", "16/8=2", "96+2=98" ]
Current State: 98:[16, 96, 19, 11], Operations: [] Exploring Operation: 19-11=8, Resulting Numbers: [16, 96, 8] Generated Node #2: [16, 96, 8] from Operation: 19-11=8 Current State: 98:[16, 96, 8], Operations: ['19-11=8'] Exploring Operation: 16/8=2, Resulting Numbers: [96, 2] Generated Node #3: [96, 2] from Operation: 16/8=2 Current State: 98:[96, 2], Operations: ['19-11=8', '16/8=2'] Exploring Operation: 96+2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 6, 39, 41, 72 ]
84
[ "41-39=2", "6*2=12", "72+12=84" ]
Current State: 84:[6, 39, 41, 72], Operations: [] Exploring Operation: 41-39=2, Resulting Numbers: [6, 72, 2] Generated Node #2: [6, 72, 2] from Operation: 41-39=2 Current State: 84:[6, 72, 2], Operations: ['41-39=2'] Exploring Operation: 6*2=12, Resulting Numbers: [72, 12] Generated Node #3: [72, 12] from Operation: 6*2=12 Current State: 84:[72, 12], Operations: ['41-39=2', '6*2=12'] Exploring Operation: 72+12=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 38, 56, 5, 48 ]
28
[ "48-38=10", "56*5=280", "280/10=28" ]
Current State: 28:[38, 56, 5, 48], Operations: [] Exploring Operation: 48-38=10, Resulting Numbers: [56, 5, 10] Generated Node #2: [56, 5, 10] from Operation: 48-38=10 Current State: 28:[56, 5, 10], Operations: ['48-38=10'] Exploring Operation: 56*5=280, Resulting Numbers: [10, 280] Generated Node #3: [10, 280] from Operation: 56*5=280 Current State: 28:[10, 280], Operations: ['48-38=10', '56*5=280'] Exploring Operation: 280/10=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 49, 32, 64, 15 ]
33
[ "64-49=15", "15/15=1", "32+1=33" ]
Current State: 33:[49, 32, 64, 15], Operations: [] Exploring Operation: 64-49=15, Resulting Numbers: [32, 15, 15] Generated Node #2: [32, 15, 15] from Operation: 64-49=15 Current State: 33:[32, 15, 15], Operations: ['64-49=15'] Exploring Operation: 15/15=1, Resulting Numbers: [32, 1] Generated Node #3: [32, 1] from Operation: 15/15=1 Current State: 33:[32, 1], Operations: ['64-49=15', '15/15=1'] Exploring Operation: 32+1=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 12, 21, 42, 57 ]
14
[ "12*42=504", "57-21=36", "504/36=14" ]
Current State: 14:[12, 21, 42, 57], Operations: [] Exploring Operation: 12*42=504, Resulting Numbers: [21, 57, 504] Generated Node #2: [21, 57, 504] from Operation: 12*42=504 Current State: 14:[21, 57, 504], Operations: ['12*42=504'] Exploring Operation: 57-21=36, Resulting Numbers: [504, 36] Generated Node #3: [504, 36] from Operation: 57-21=36 Current State: 14:[504, 36], Operations: ['12*42=504', '57-21=36'] Exploring Operation: 504/36=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 6, 58, 14, 12 ]
86
[ "12/6=2", "14*2=28", "58+28=86" ]
Current State: 86:[6, 58, 14, 12], Operations: [] Exploring Operation: 12/6=2, Resulting Numbers: [58, 14, 2] Generated Node #2: [58, 14, 2] from Operation: 12/6=2 Current State: 86:[58, 14, 2], Operations: ['12/6=2'] Exploring Operation: 14*2=28, Resulting Numbers: [58, 28] Generated Node #3: [58, 28] from Operation: 14*2=28 Current State: 86:[58, 28], Operations: ['12/6=2', '14*2=28'] Exploring Operation: 58+28=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 20, 80, 34, 63 ]
31
[ "80-20=60", "63-34=29", "60-29=31" ]
Current State: 31:[20, 80, 34, 63], Operations: [] Exploring Operation: 80-20=60, Resulting Numbers: [34, 63, 60] Generated Node #2: [34, 63, 60] from Operation: 80-20=60 Current State: 31:[34, 63, 60], Operations: ['80-20=60'] Exploring Operation: 63-34=29, Resulting Numbers: [60, 29] Generated Node #3: [60, 29] from Operation: 63-34=29 Current State: 31:[60, 29], Operations: ['80-20=60', '63-34=29'] Exploring Operation: 60-29=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 93, 3, 45, 57 ]
43
[ "93/3=31", "57-45=12", "31+12=43" ]
Current State: 43:[93, 3, 45, 57], Operations: [] Exploring Operation: 93/3=31, Resulting Numbers: [45, 57, 31] Generated Node #2: [45, 57, 31] from Operation: 93/3=31 Current State: 43:[45, 57, 31], Operations: ['93/3=31'] Exploring Operation: 57-45=12, Resulting Numbers: [31, 12] Generated Node #3: [31, 12] from Operation: 57-45=12 Current State: 43:[31, 12], Operations: ['93/3=31', '57-45=12'] Exploring Operation: 31+12=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 11, 30, 25, 60 ]
61
[ "30*60=1800", "1800/25=72", "72-11=61" ]
Current State: 61:[11, 30, 25, 60], Operations: [] Exploring Operation: 30*60=1800, Resulting Numbers: [11, 25, 1800] Generated Node #2: [11, 25, 1800] from Operation: 30*60=1800 Current State: 61:[11, 25, 1800], Operations: ['30*60=1800'] Exploring Operation: 1800/25=72, Resulting Numbers: [11, 72] Generated Node #3: [11, 72] from Operation: 1800/25=72 Current State: 61:[11, 72], Operations: ['30*60=1800', '1800/25=72'] Exploring Operation: 72-11=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 44, 14, 45, 16 ]
30
[ "45-44=1", "14+16=30", "1*30=30" ]
Current State: 30:[44, 14, 45, 16], Operations: [] Exploring Operation: 45-44=1, Resulting Numbers: [14, 16, 1] Generated Node #2: [14, 16, 1] from Operation: 45-44=1 Current State: 30:[14, 16, 1], Operations: ['45-44=1'] Exploring Operation: 14+16=30, Resulting Numbers: [1, 30] Generated Node #3: [1, 30] from Operation: 14+16=30 Current State: 30:[1, 30], Operations: ['45-44=1', '14+16=30'] Exploring Operation: 1*30=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 37, 79, 47, 60 ]
73
[ "47-37=10", "60/10=6", "79-6=73" ]
Current State: 73:[37, 79, 47, 60], Operations: [] Exploring Operation: 47-37=10, Resulting Numbers: [79, 60, 10] Generated Node #2: [79, 60, 10] from Operation: 47-37=10 Current State: 73:[79, 60, 10], Operations: ['47-37=10'] Exploring Operation: 60/10=6, Resulting Numbers: [79, 6] Generated Node #3: [79, 6] from Operation: 60/10=6 Current State: 73:[79, 6], Operations: ['47-37=10', '60/10=6'] Exploring Operation: 79-6=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 34, 45, 49, 39 ]
58
[ "39-34=5", "45/5=9", "49+9=58" ]
Current State: 58:[34, 45, 49, 39], Operations: [] Exploring Operation: 39-34=5, Resulting Numbers: [45, 49, 5] Generated Node #2: [45, 49, 5] from Operation: 39-34=5 Current State: 58:[45, 49, 5], Operations: ['39-34=5'] Exploring Operation: 45/5=9, Resulting Numbers: [49, 9] Generated Node #3: [49, 9] from Operation: 45/5=9 Current State: 58:[49, 9], Operations: ['39-34=5', '45/5=9'] Exploring Operation: 49+9=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 4, 87, 42, 92 ]
42
[ "4+87=91", "92-91=1", "42*1=42" ]
Current State: 42:[4, 87, 42, 92], Operations: [] Exploring Operation: 4+87=91, Resulting Numbers: [42, 92, 91] Generated Node #2: [42, 92, 91] from Operation: 4+87=91 Current State: 42:[42, 92, 91], Operations: ['4+87=91'] Exploring Operation: 92-91=1, Resulting Numbers: [42, 1] Generated Node #3: [42, 1] from Operation: 92-91=1 Current State: 42:[42, 1], Operations: ['4+87=91', '92-91=1'] Exploring Operation: 42*1=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 10, 45, 80, 98 ]
100
[ "10+80=90", "90/45=2", "98+2=100" ]
Current State: 100:[10, 45, 80, 98], Operations: [] Exploring Operation: 10+80=90, Resulting Numbers: [45, 98, 90] Generated Node #2: [45, 98, 90] from Operation: 10+80=90 Current State: 100:[45, 98, 90], Operations: ['10+80=90'] Exploring Operation: 90/45=2, Resulting Numbers: [98, 2] Generated Node #3: [98, 2] from Operation: 90/45=2 Current State: 100:[98, 2], Operations: ['10+80=90', '90/45=2'] Exploring Operation: 98+2=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4