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
[ 10, 6, 23, 78 ]
33
[ "78-23=55", "6*55=330", "330/10=33" ]
Current State: 33:[10, 6, 23, 78], Operations: [] Exploring Operation: 78-23=55, Resulting Numbers: [10, 6, 55] Generated Node #2: [10, 6, 55] from Operation: 78-23=55 Current State: 33:[10, 6, 55], Operations: ['78-23=55'] Exploring Operation: 6*55=330, Resulting Numbers: [10, 330] Generated Node #3: [10, 330] from Operation: 6*55=330 Current State: 33:[10, 330], Operations: ['78-23=55', '6*55=330'] Exploring Operation: 330/10=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 49, 51, 27, 21 ]
15
[ "51-49=2", "21*2=42", "42-27=15" ]
Current State: 15:[49, 51, 27, 21], Operations: [] Exploring Operation: 51-49=2, Resulting Numbers: [27, 21, 2] Generated Node #2: [27, 21, 2] from Operation: 51-49=2 Current State: 15:[27, 21, 2], Operations: ['51-49=2'] Exploring Operation: 21*2=42, Resulting Numbers: [27, 42] Generated Node #3: [27, 42] from Operation: 21*2=42 Current State: 15:[27, 42], Operations: ['51-49=2', '21*2=42'] Exploring Operation: 42-27=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 73, 54, 22, 75 ]
25
[ "73-54=19", "22-19=3", "75/3=25" ]
Current State: 25:[73, 54, 22, 75], Operations: [] Exploring Operation: 73-54=19, Resulting Numbers: [22, 75, 19] Generated Node #2: [22, 75, 19] from Operation: 73-54=19 Current State: 25:[22, 75, 19], Operations: ['73-54=19'] Exploring Operation: 22-19=3, Resulting Numbers: [75, 3] Generated Node #3: [75, 3] from Operation: 22-19=3 Current State: 25:[75, 3], Operations: ['73-54=19', '22-19=3'] Exploring Operation: 75/3=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 3, 23, 12, 69 ]
21
[ "3*69=207", "207/23=9", "12+9=21" ]
Current State: 21:[3, 23, 12, 69], Operations: [] Exploring Operation: 3*69=207, Resulting Numbers: [23, 12, 207] Generated Node #2: [23, 12, 207] from Operation: 3*69=207 Current State: 21:[23, 12, 207], Operations: ['3*69=207'] Exploring Operation: 207/23=9, Resulting Numbers: [12, 9] Generated Node #3: [12, 9] from Operation: 207/23=9 Current State: 21:[12, 9], Operations: ['3*69=207', '207/23=9'] Exploring Operation: 12+9=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 17, 4, 2, 64 ]
39
[ "64-17=47", "4*2=8", "47-8=39" ]
Current State: 39:[17, 4, 2, 64], Operations: [] Exploring Operation: 64-17=47, Resulting Numbers: [4, 2, 47] Generated Node #2: [4, 2, 47] from Operation: 64-17=47 Current State: 39:[4, 2, 47], Operations: ['64-17=47'] Exploring Operation: 4*2=8, Resulting Numbers: [47, 8] Generated Node #3: [47, 8] from Operation: 4*2=8 Current State: 39:[47, 8], Operations: ['64-17=47', '4*2=8'] Exploring Operation: 47-8=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 4, 3, 35, 83 ]
48
[ "4-3=1", "83-35=48", "1*48=48" ]
Current State: 48:[4, 3, 35, 83], Operations: [] Exploring Operation: 4-3=1, Resulting Numbers: [35, 83, 1] Generated Node #2: [35, 83, 1] from Operation: 4-3=1 Current State: 48:[35, 83, 1], Operations: ['4-3=1'] Exploring Operation: 83-35=48, Resulting Numbers: [1, 48] Generated Node #3: [1, 48] from Operation: 83-35=48 Current State: 48:[1, 48], Operations: ['4-3=1', '83-35=48'] Exploring Operation: 1*48=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 1, 88, 45, 2 ]
87
[ "88-45=43", "2*43=86", "1+86=87" ]
Current State: 87:[1, 88, 45, 2], Operations: [] Exploring Operation: 88-45=43, Resulting Numbers: [1, 2, 43] Generated Node #2: [1, 2, 43] from Operation: 88-45=43 Current State: 87:[1, 2, 43], Operations: ['88-45=43'] Exploring Operation: 2*43=86, Resulting Numbers: [1, 86] Generated Node #3: [1, 86] from Operation: 2*43=86 Current State: 87:[1, 86], Operations: ['88-45=43', '2*43=86'] Exploring Operation: 1+86=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 26, 5, 44, 30 ]
24
[ "44-26=18", "30/5=6", "18+6=24" ]
Current State: 24:[26, 5, 44, 30], Operations: [] Exploring Operation: 44-26=18, Resulting Numbers: [5, 30, 18] Generated Node #2: [5, 30, 18] from Operation: 44-26=18 Current State: 24:[5, 30, 18], Operations: ['44-26=18'] Exploring Operation: 30/5=6, Resulting Numbers: [18, 6] Generated Node #3: [18, 6] from Operation: 30/5=6 Current State: 24:[18, 6], Operations: ['44-26=18', '30/5=6'] Exploring Operation: 18+6=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 36, 93, 88, 42 ]
56
[ "36+88=124", "42*124=5208", "5208/93=56" ]
Current State: 56:[36, 93, 88, 42], Operations: [] Exploring Operation: 36+88=124, Resulting Numbers: [93, 42, 124] Generated Node #2: [93, 42, 124] from Operation: 36+88=124 Current State: 56:[93, 42, 124], Operations: ['36+88=124'] Exploring Operation: 42*124=5208, Resulting Numbers: [93, 5208] Generated Node #3: [93, 5208] from Operation: 42*124=5208 Current State: 56:[93, 5208], Operations: ['36+88=124', '42*124=5208'] Exploring Operation: 5208/93=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 3, 8, 16, 40 ]
33
[ "40/8=5", "16-5=11", "3*11=33" ]
Current State: 33:[3, 8, 16, 40], Operations: [] Exploring Operation: 40/8=5, Resulting Numbers: [3, 16, 5] Generated Node #2: [3, 16, 5] from Operation: 40/8=5 Current State: 33:[3, 16, 5], Operations: ['40/8=5'] Exploring Operation: 16-5=11, Resulting Numbers: [3, 11] Generated Node #3: [3, 11] from Operation: 16-5=11 Current State: 33:[3, 11], Operations: ['40/8=5', '16-5=11'] Exploring Operation: 3*11=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 38, 4, 65, 8 ]
95
[ "38*4=152", "65-8=57", "152-57=95" ]
Current State: 95:[38, 4, 65, 8], Operations: [] Exploring Operation: 38*4=152, Resulting Numbers: [65, 8, 152] Generated Node #2: [65, 8, 152] from Operation: 38*4=152 Current State: 95:[65, 8, 152], Operations: ['38*4=152'] Exploring Operation: 65-8=57, Resulting Numbers: [152, 57] Generated Node #3: [152, 57] from Operation: 65-8=57 Current State: 95:[152, 57], Operations: ['38*4=152', '65-8=57'] Exploring Operation: 152-57=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 9, 72, 49, 10 ]
24
[ "72-9=63", "49-10=39", "63-39=24" ]
Current State: 24:[9, 72, 49, 10], Operations: [] Exploring Operation: 72-9=63, Resulting Numbers: [49, 10, 63] Generated Node #2: [49, 10, 63] from Operation: 72-9=63 Current State: 24:[49, 10, 63], Operations: ['72-9=63'] Exploring Operation: 49-10=39, Resulting Numbers: [63, 39] Generated Node #3: [63, 39] from Operation: 49-10=39 Current State: 24:[63, 39], Operations: ['72-9=63', '49-10=39'] Exploring Operation: 63-39=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 46, 18, 70, 64 ]
71
[ "46+18=64", "64/64=1", "70+1=71" ]
Current State: 71:[46, 18, 70, 64], Operations: [] Exploring Operation: 46+18=64, Resulting Numbers: [70, 64, 64] Generated Node #2: [70, 64, 64] from Operation: 46+18=64 Current State: 71:[70, 64, 64], Operations: ['46+18=64'] Exploring Operation: 64/64=1, Resulting Numbers: [70, 1] Generated Node #3: [70, 1] from Operation: 64/64=1 Current State: 71:[70, 1], Operations: ['46+18=64', '64/64=1'] Exploring Operation: 70+1=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 47, 55, 24, 41 ]
92
[ "55*41=2255", "2255-47=2208", "2208/24=92" ]
Current State: 92:[47, 55, 24, 41], Operations: [] Exploring Operation: 55*41=2255, Resulting Numbers: [47, 24, 2255] Generated Node #2: [47, 24, 2255] from Operation: 55*41=2255 Current State: 92:[47, 24, 2255], Operations: ['55*41=2255'] Exploring Operation: 2255-47=2208, Resulting Numbers: [24, 2208] Generated Node #3: [24, 2208] from Operation: 2255-47=2208 Current State: 92:[24, 2208], Operations: ['55*41=2255', '2255-47=2208'] Exploring Operation: 2208/24=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 2, 31, 54, 96 ]
44
[ "54+96=150", "150/2=75", "75-31=44" ]
Current State: 44:[2, 31, 54, 96], Operations: [] Exploring Operation: 54+96=150, Resulting Numbers: [2, 31, 150] Generated Node #2: [2, 31, 150] from Operation: 54+96=150 Current State: 44:[2, 31, 150], Operations: ['54+96=150'] Exploring Operation: 150/2=75, Resulting Numbers: [31, 75] Generated Node #3: [31, 75] from Operation: 150/2=75 Current State: 44:[31, 75], Operations: ['54+96=150', '150/2=75'] Exploring Operation: 75-31=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 86, 22, 76, 2 ]
72
[ "86+2=88", "88/22=4", "76-4=72" ]
Current State: 72:[86, 22, 76, 2], Operations: [] Exploring Operation: 86+2=88, Resulting Numbers: [22, 76, 88] Generated Node #2: [22, 76, 88] from Operation: 86+2=88 Current State: 72:[22, 76, 88], Operations: ['86+2=88'] Exploring Operation: 88/22=4, Resulting Numbers: [76, 4] Generated Node #3: [76, 4] from Operation: 88/22=4 Current State: 72:[76, 4], Operations: ['86+2=88', '88/22=4'] Exploring Operation: 76-4=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 45, 46, 69, 26 ]
56
[ "45*46=2070", "2070/69=30", "26+30=56" ]
Current State: 56:[45, 46, 69, 26], Operations: [] Exploring Operation: 45*46=2070, Resulting Numbers: [69, 26, 2070] Generated Node #2: [69, 26, 2070] from Operation: 45*46=2070 Current State: 56:[69, 26, 2070], Operations: ['45*46=2070'] Exploring Operation: 2070/69=30, Resulting Numbers: [26, 30] Generated Node #3: [26, 30] from Operation: 2070/69=30 Current State: 56:[26, 30], Operations: ['45*46=2070', '2070/69=30'] Exploring Operation: 26+30=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 27, 47, 9, 35 ]
47
[ "27+9=36", "36-35=1", "47*1=47" ]
Current State: 47:[27, 47, 9, 35], Operations: [] Exploring Operation: 27+9=36, Resulting Numbers: [47, 35, 36] Generated Node #2: [47, 35, 36] from Operation: 27+9=36 Current State: 47:[47, 35, 36], Operations: ['27+9=36'] Exploring Operation: 36-35=1, Resulting Numbers: [47, 1] Generated Node #3: [47, 1] from Operation: 36-35=1 Current State: 47:[47, 1], Operations: ['27+9=36', '36-35=1'] Exploring Operation: 47*1=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 11, 20, 6, 38 ]
71
[ "11+38=49", "20*6=120", "120-49=71" ]
Current State: 71:[11, 20, 6, 38], Operations: [] Exploring Operation: 11+38=49, Resulting Numbers: [20, 6, 49] Generated Node #2: [20, 6, 49] from Operation: 11+38=49 Current State: 71:[20, 6, 49], Operations: ['11+38=49'] Exploring Operation: 20*6=120, Resulting Numbers: [49, 120] Generated Node #3: [49, 120] from Operation: 20*6=120 Current State: 71:[49, 120], Operations: ['11+38=49', '20*6=120'] Exploring Operation: 120-49=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 89, 1, 97, 64 ]
73
[ "89-1=88", "97+64=161", "161-88=73" ]
Current State: 73:[89, 1, 97, 64], Operations: [] Exploring Operation: 89-1=88, Resulting Numbers: [97, 64, 88] Generated Node #2: [97, 64, 88] from Operation: 89-1=88 Current State: 73:[97, 64, 88], Operations: ['89-1=88'] Exploring Operation: 97+64=161, Resulting Numbers: [88, 161] Generated Node #3: [88, 161] from Operation: 97+64=161 Current State: 73:[88, 161], Operations: ['89-1=88', '97+64=161'] Exploring Operation: 161-88=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 13, 75, 2, 55 ]
41
[ "13+55=68", "68/2=34", "75-34=41" ]
Current State: 41:[13, 75, 2, 55], Operations: [] Exploring Operation: 13+55=68, Resulting Numbers: [75, 2, 68] Generated Node #2: [75, 2, 68] from Operation: 13+55=68 Current State: 41:[75, 2, 68], Operations: ['13+55=68'] Exploring Operation: 68/2=34, Resulting Numbers: [75, 34] Generated Node #3: [75, 34] from Operation: 68/2=34 Current State: 41:[75, 34], Operations: ['13+55=68', '68/2=34'] Exploring Operation: 75-34=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 4, 31, 95, 16 ]
12
[ "95-31=64", "64-16=48", "48/4=12" ]
Current State: 12:[4, 31, 95, 16], Operations: [] Exploring Operation: 95-31=64, Resulting Numbers: [4, 16, 64] Generated Node #2: [4, 16, 64] from Operation: 95-31=64 Current State: 12:[4, 16, 64], Operations: ['95-31=64'] Exploring Operation: 64-16=48, Resulting Numbers: [4, 48] Generated Node #3: [4, 48] from Operation: 64-16=48 Current State: 12:[4, 48], Operations: ['95-31=64', '64-16=48'] Exploring Operation: 48/4=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 7, 47, 94, 52 ]
12
[ "7+47=54", "94-52=42", "54-42=12" ]
Current State: 12:[7, 47, 94, 52], Operations: [] Exploring Operation: 7+47=54, Resulting Numbers: [94, 52, 54] Generated Node #2: [94, 52, 54] from Operation: 7+47=54 Current State: 12:[94, 52, 54], Operations: ['7+47=54'] Exploring Operation: 94-52=42, Resulting Numbers: [54, 42] Generated Node #3: [54, 42] from Operation: 94-52=42 Current State: 12:[54, 42], Operations: ['7+47=54', '94-52=42'] Exploring Operation: 54-42=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 44, 88, 6, 89 ]
87
[ "44*6=264", "88+89=177", "264-177=87" ]
Current State: 87:[44, 88, 6, 89], Operations: [] Exploring Operation: 44*6=264, Resulting Numbers: [88, 89, 264] Generated Node #2: [88, 89, 264] from Operation: 44*6=264 Current State: 87:[88, 89, 264], Operations: ['44*6=264'] Exploring Operation: 88+89=177, Resulting Numbers: [264, 177] Generated Node #3: [264, 177] from Operation: 88+89=177 Current State: 87:[264, 177], Operations: ['44*6=264', '88+89=177'] Exploring Operation: 264-177=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 86, 58, 9, 18 ]
90
[ "86-58=28", "28-18=10", "9*10=90" ]
Current State: 90:[86, 58, 9, 18], Operations: [] Exploring Operation: 86-58=28, Resulting Numbers: [9, 18, 28] Generated Node #2: [9, 18, 28] from Operation: 86-58=28 Current State: 90:[9, 18, 28], Operations: ['86-58=28'] Exploring Operation: 28-18=10, Resulting Numbers: [9, 10] Generated Node #3: [9, 10] from Operation: 28-18=10 Current State: 90:[9, 10], Operations: ['86-58=28', '28-18=10'] Exploring Operation: 9*10=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 75, 75, 69, 73 ]
73
[ "75-75=0", "69*0=0", "73+0=73" ]
Current State: 73:[75, 75, 69, 73], Operations: [] Exploring Operation: 75-75=0, Resulting Numbers: [69, 73, 0] Generated Node #2: [69, 73, 0] from Operation: 75-75=0 Current State: 73:[69, 73, 0], Operations: ['75-75=0'] Exploring Operation: 69*0=0, Resulting Numbers: [73, 0] Generated Node #3: [73, 0] from Operation: 69*0=0 Current State: 73:[73, 0], Operations: ['75-75=0', '69*0=0'] Exploring Operation: 73+0=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 14, 38, 8, 19 ]
84
[ "38/19=2", "8-2=6", "14*6=84" ]
Current State: 84:[14, 38, 8, 19], Operations: [] Exploring Operation: 38/19=2, Resulting Numbers: [14, 8, 2] Generated Node #2: [14, 8, 2] from Operation: 38/19=2 Current State: 84:[14, 8, 2], Operations: ['38/19=2'] Exploring Operation: 8-2=6, Resulting Numbers: [14, 6] Generated Node #3: [14, 6] from Operation: 8-2=6 Current State: 84:[14, 6], Operations: ['38/19=2', '8-2=6'] Exploring Operation: 14*6=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 20, 98, 94, 3 ]
48
[ "98-20=78", "94-78=16", "3*16=48" ]
Current State: 48:[20, 98, 94, 3], Operations: [] Exploring Operation: 98-20=78, Resulting Numbers: [94, 3, 78] Generated Node #2: [94, 3, 78] from Operation: 98-20=78 Current State: 48:[94, 3, 78], Operations: ['98-20=78'] Exploring Operation: 94-78=16, Resulting Numbers: [3, 16] Generated Node #3: [3, 16] from Operation: 94-78=16 Current State: 48:[3, 16], Operations: ['98-20=78', '94-78=16'] Exploring Operation: 3*16=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 18, 56, 26, 86 ]
22
[ "56-18=38", "86-26=60", "60-38=22" ]
Current State: 22:[18, 56, 26, 86], Operations: [] Exploring Operation: 56-18=38, Resulting Numbers: [26, 86, 38] Generated Node #2: [26, 86, 38] from Operation: 56-18=38 Current State: 22:[26, 86, 38], Operations: ['56-18=38'] Exploring Operation: 86-26=60, Resulting Numbers: [38, 60] Generated Node #3: [38, 60] from Operation: 86-26=60 Current State: 22:[38, 60], Operations: ['56-18=38', '86-26=60'] Exploring Operation: 60-38=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 11, 65, 16, 16 ]
11
[ "16-16=0", "65*0=0", "11+0=11" ]
Current State: 11:[11, 65, 16, 16], Operations: [] Exploring Operation: 16-16=0, Resulting Numbers: [11, 65, 0] Generated Node #2: [11, 65, 0] from Operation: 16-16=0 Current State: 11:[11, 65, 0], Operations: ['16-16=0'] Exploring Operation: 65*0=0, Resulting Numbers: [11, 0] Generated Node #3: [11, 0] from Operation: 65*0=0 Current State: 11:[11, 0], Operations: ['16-16=0', '65*0=0'] Exploring Operation: 11+0=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 32, 61, 40, 66 ]
67
[ "32+61=93", "66-40=26", "93-26=67" ]
Current State: 67:[32, 61, 40, 66], Operations: [] Exploring Operation: 32+61=93, Resulting Numbers: [40, 66, 93] Generated Node #2: [40, 66, 93] from Operation: 32+61=93 Current State: 67:[40, 66, 93], Operations: ['32+61=93'] Exploring Operation: 66-40=26, Resulting Numbers: [93, 26] Generated Node #3: [93, 26] from Operation: 66-40=26 Current State: 67:[93, 26], Operations: ['32+61=93', '66-40=26'] Exploring Operation: 93-26=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 57, 75, 63, 1 ]
69
[ "57+75=132", "63*1=63", "132-63=69" ]
Current State: 69:[57, 75, 63, 1], Operations: [] Exploring Operation: 57+75=132, Resulting Numbers: [63, 1, 132] Generated Node #2: [63, 1, 132] from Operation: 57+75=132 Current State: 69:[63, 1, 132], Operations: ['57+75=132'] Exploring Operation: 63*1=63, Resulting Numbers: [132, 63] Generated Node #3: [132, 63] from Operation: 63*1=63 Current State: 69:[132, 63], Operations: ['57+75=132', '63*1=63'] Exploring Operation: 132-63=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 27, 24, 61, 37 ]
75
[ "27+24=51", "61-37=24", "51+24=75" ]
Current State: 75:[27, 24, 61, 37], Operations: [] Exploring Operation: 27+24=51, Resulting Numbers: [61, 37, 51] Generated Node #2: [61, 37, 51] from Operation: 27+24=51 Current State: 75:[61, 37, 51], Operations: ['27+24=51'] Exploring Operation: 61-37=24, Resulting Numbers: [51, 24] Generated Node #3: [51, 24] from Operation: 61-37=24 Current State: 75:[51, 24], Operations: ['27+24=51', '61-37=24'] Exploring Operation: 51+24=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 88, 75, 61, 42 ]
91
[ "75-61=14", "42/14=3", "88+3=91" ]
Current State: 91:[88, 75, 61, 42], Operations: [] Exploring Operation: 75-61=14, Resulting Numbers: [88, 42, 14] Generated Node #2: [88, 42, 14] from Operation: 75-61=14 Current State: 91:[88, 42, 14], Operations: ['75-61=14'] Exploring Operation: 42/14=3, Resulting Numbers: [88, 3] Generated Node #3: [88, 3] from Operation: 42/14=3 Current State: 91:[88, 3], Operations: ['75-61=14', '42/14=3'] Exploring Operation: 88+3=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 45, 75, 3, 99 ]
39
[ "45*3=135", "75+99=174", "174-135=39" ]
Current State: 39:[45, 75, 3, 99], Operations: [] Exploring Operation: 45*3=135, Resulting Numbers: [75, 99, 135] Generated Node #2: [75, 99, 135] from Operation: 45*3=135 Current State: 39:[75, 99, 135], Operations: ['45*3=135'] Exploring Operation: 75+99=174, Resulting Numbers: [135, 174] Generated Node #3: [135, 174] from Operation: 75+99=174 Current State: 39:[135, 174], Operations: ['45*3=135', '75+99=174'] Exploring Operation: 174-135=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 34, 10, 82, 40 ]
52
[ "82-34=48", "40/10=4", "48+4=52" ]
Current State: 52:[34, 10, 82, 40], Operations: [] Exploring Operation: 82-34=48, Resulting Numbers: [10, 40, 48] Generated Node #2: [10, 40, 48] from Operation: 82-34=48 Current State: 52:[10, 40, 48], Operations: ['82-34=48'] Exploring Operation: 40/10=4, Resulting Numbers: [48, 4] Generated Node #3: [48, 4] from Operation: 40/10=4 Current State: 52:[48, 4], Operations: ['82-34=48', '40/10=4'] Exploring Operation: 48+4=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 31, 2, 74, 63 ]
83
[ "74-31=43", "2*63=126", "126-43=83" ]
Current State: 83:[31, 2, 74, 63], Operations: [] Exploring Operation: 74-31=43, Resulting Numbers: [2, 63, 43] Generated Node #2: [2, 63, 43] from Operation: 74-31=43 Current State: 83:[2, 63, 43], Operations: ['74-31=43'] Exploring Operation: 2*63=126, Resulting Numbers: [43, 126] Generated Node #3: [43, 126] from Operation: 2*63=126 Current State: 83:[43, 126], Operations: ['74-31=43', '2*63=126'] Exploring Operation: 126-43=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 8, 94, 25, 50 ]
27
[ "8+94=102", "25+50=75", "102-75=27" ]
Current State: 27:[8, 94, 25, 50], Operations: [] Exploring Operation: 8+94=102, Resulting Numbers: [25, 50, 102] Generated Node #2: [25, 50, 102] from Operation: 8+94=102 Current State: 27:[25, 50, 102], Operations: ['8+94=102'] Exploring Operation: 25+50=75, Resulting Numbers: [102, 75] Generated Node #3: [102, 75] from Operation: 25+50=75 Current State: 27:[102, 75], Operations: ['8+94=102', '25+50=75'] Exploring Operation: 102-75=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 37, 12, 8, 11 ]
75
[ "37-12=25", "11-8=3", "25*3=75" ]
Current State: 75:[37, 12, 8, 11], Operations: [] Exploring Operation: 37-12=25, Resulting Numbers: [8, 11, 25] Generated Node #2: [8, 11, 25] from Operation: 37-12=25 Current State: 75:[8, 11, 25], Operations: ['37-12=25'] Exploring Operation: 11-8=3, Resulting Numbers: [25, 3] Generated Node #3: [25, 3] from Operation: 11-8=3 Current State: 75:[25, 3], Operations: ['37-12=25', '11-8=3'] Exploring Operation: 25*3=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 35, 43, 85, 90 ]
97
[ "35+43=78", "85+90=175", "175-78=97" ]
Current State: 97:[35, 43, 85, 90], Operations: [] Exploring Operation: 35+43=78, Resulting Numbers: [85, 90, 78] Generated Node #2: [85, 90, 78] from Operation: 35+43=78 Current State: 97:[85, 90, 78], Operations: ['35+43=78'] Exploring Operation: 85+90=175, Resulting Numbers: [78, 175] Generated Node #3: [78, 175] from Operation: 85+90=175 Current State: 97:[78, 175], Operations: ['35+43=78', '85+90=175'] Exploring Operation: 175-78=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 7, 5, 20, 15 ]
20
[ "15-7=8", "5*8=40", "40-20=20" ]
Current State: 20:[7, 5, 20, 15], Operations: [] Exploring Operation: 15-7=8, Resulting Numbers: [5, 20, 8] Generated Node #2: [5, 20, 8] from Operation: 15-7=8 Current State: 20:[5, 20, 8], Operations: ['15-7=8'] Exploring Operation: 5*8=40, Resulting Numbers: [20, 40] Generated Node #3: [20, 40] from Operation: 5*8=40 Current State: 20:[20, 40], Operations: ['15-7=8', '5*8=40'] Exploring Operation: 40-20=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 57, 14, 94, 46 ]
67
[ "94+46=140", "140/14=10", "57+10=67" ]
Current State: 67:[57, 14, 94, 46], Operations: [] Exploring Operation: 94+46=140, Resulting Numbers: [57, 14, 140] Generated Node #2: [57, 14, 140] from Operation: 94+46=140 Current State: 67:[57, 14, 140], Operations: ['94+46=140'] Exploring Operation: 140/14=10, Resulting Numbers: [57, 10] Generated Node #3: [57, 10] from Operation: 140/14=10 Current State: 67:[57, 10], Operations: ['94+46=140', '140/14=10'] Exploring Operation: 57+10=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 18, 2, 9, 1 ]
53
[ "18+9=27", "2*27=54", "54-1=53" ]
Current State: 53:[18, 2, 9, 1], Operations: [] Exploring Operation: 18+9=27, Resulting Numbers: [2, 1, 27] Generated Node #2: [2, 1, 27] from Operation: 18+9=27 Current State: 53:[2, 1, 27], Operations: ['18+9=27'] Exploring Operation: 2*27=54, Resulting Numbers: [1, 54] Generated Node #3: [1, 54] from Operation: 2*27=54 Current State: 53:[1, 54], Operations: ['18+9=27', '2*27=54'] Exploring Operation: 54-1=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 54, 96, 78, 24 ]
21
[ "96-78=18", "54/18=3", "24-3=21" ]
Current State: 21:[54, 96, 78, 24], Operations: [] Exploring Operation: 96-78=18, Resulting Numbers: [54, 24, 18] Generated Node #2: [54, 24, 18] from Operation: 96-78=18 Current State: 21:[54, 24, 18], Operations: ['96-78=18'] Exploring Operation: 54/18=3, Resulting Numbers: [24, 3] Generated Node #3: [24, 3] from Operation: 54/18=3 Current State: 21:[24, 3], Operations: ['96-78=18', '54/18=3'] Exploring Operation: 24-3=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 68, 12, 86, 10 ]
60
[ "68+12=80", "86-80=6", "10*6=60" ]
Current State: 60:[68, 12, 86, 10], Operations: [] Exploring Operation: 68+12=80, Resulting Numbers: [86, 10, 80] Generated Node #2: [86, 10, 80] from Operation: 68+12=80 Current State: 60:[86, 10, 80], Operations: ['68+12=80'] Exploring Operation: 86-80=6, Resulting Numbers: [10, 6] Generated Node #3: [10, 6] from Operation: 86-80=6 Current State: 60:[10, 6], Operations: ['68+12=80', '86-80=6'] Exploring Operation: 10*6=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 25, 7, 10, 28 ]
33
[ "25+10=35", "35/7=5", "28+5=33" ]
Current State: 33:[25, 7, 10, 28], Operations: [] Exploring Operation: 25+10=35, Resulting Numbers: [7, 28, 35] Generated Node #2: [7, 28, 35] from Operation: 25+10=35 Current State: 33:[7, 28, 35], Operations: ['25+10=35'] Exploring Operation: 35/7=5, Resulting Numbers: [28, 5] Generated Node #3: [28, 5] from Operation: 35/7=5 Current State: 33:[28, 5], Operations: ['25+10=35', '35/7=5'] Exploring Operation: 28+5=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 11, 93, 14, 1 ]
30
[ "14-11=3", "93/3=31", "31-1=30" ]
Current State: 30:[11, 93, 14, 1], Operations: [] Exploring Operation: 14-11=3, Resulting Numbers: [93, 1, 3] Generated Node #2: [93, 1, 3] from Operation: 14-11=3 Current State: 30:[93, 1, 3], Operations: ['14-11=3'] Exploring Operation: 93/3=31, Resulting Numbers: [1, 31] Generated Node #3: [1, 31] from Operation: 93/3=31 Current State: 30:[1, 31], Operations: ['14-11=3', '93/3=31'] Exploring Operation: 31-1=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 7, 2, 5, 13 ]
79
[ "7*2=14", "5*13=65", "14+65=79" ]
Current State: 79:[7, 2, 5, 13], Operations: [] Exploring Operation: 7*2=14, Resulting Numbers: [5, 13, 14] Generated Node #2: [5, 13, 14] from Operation: 7*2=14 Current State: 79:[5, 13, 14], Operations: ['7*2=14'] Exploring Operation: 5*13=65, Resulting Numbers: [14, 65] Generated Node #3: [14, 65] from Operation: 5*13=65 Current State: 79:[14, 65], Operations: ['7*2=14', '5*13=65'] Exploring Operation: 14+65=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 70, 58, 44, 2 ]
86
[ "70+58=128", "44-2=42", "128-42=86" ]
Current State: 86:[70, 58, 44, 2], Operations: [] Exploring Operation: 70+58=128, Resulting Numbers: [44, 2, 128] Generated Node #2: [44, 2, 128] from Operation: 70+58=128 Current State: 86:[44, 2, 128], Operations: ['70+58=128'] Exploring Operation: 44-2=42, Resulting Numbers: [128, 42] Generated Node #3: [128, 42] from Operation: 44-2=42 Current State: 86:[128, 42], Operations: ['70+58=128', '44-2=42'] Exploring Operation: 128-42=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 85, 28, 54, 83 ]
80
[ "85-28=57", "54+83=137", "137-57=80" ]
Current State: 80:[85, 28, 54, 83], Operations: [] Exploring Operation: 85-28=57, Resulting Numbers: [54, 83, 57] Generated Node #2: [54, 83, 57] from Operation: 85-28=57 Current State: 80:[54, 83, 57], Operations: ['85-28=57'] Exploring Operation: 54+83=137, Resulting Numbers: [57, 137] Generated Node #3: [57, 137] from Operation: 54+83=137 Current State: 80:[57, 137], Operations: ['85-28=57', '54+83=137'] Exploring Operation: 137-57=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 39, 49, 61, 5 ]
11
[ "49-39=10", "5*10=50", "61-50=11" ]
Current State: 11:[39, 49, 61, 5], Operations: [] Exploring Operation: 49-39=10, Resulting Numbers: [61, 5, 10] Generated Node #2: [61, 5, 10] from Operation: 49-39=10 Current State: 11:[61, 5, 10], Operations: ['49-39=10'] Exploring Operation: 5*10=50, Resulting Numbers: [61, 50] Generated Node #3: [61, 50] from Operation: 5*10=50 Current State: 11:[61, 50], Operations: ['49-39=10', '5*10=50'] Exploring Operation: 61-50=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 68, 46, 56, 29 ]
87
[ "68+46=114", "56-29=27", "114-27=87" ]
Current State: 87:[68, 46, 56, 29], Operations: [] Exploring Operation: 68+46=114, Resulting Numbers: [56, 29, 114] Generated Node #2: [56, 29, 114] from Operation: 68+46=114 Current State: 87:[56, 29, 114], Operations: ['68+46=114'] Exploring Operation: 56-29=27, Resulting Numbers: [114, 27] Generated Node #3: [114, 27] from Operation: 56-29=27 Current State: 87:[114, 27], Operations: ['68+46=114', '56-29=27'] Exploring Operation: 114-27=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 75, 48, 3, 69 ]
84
[ "75+48=123", "3*69=207", "207-123=84" ]
Current State: 84:[75, 48, 3, 69], Operations: [] Exploring Operation: 75+48=123, Resulting Numbers: [3, 69, 123] Generated Node #2: [3, 69, 123] from Operation: 75+48=123 Current State: 84:[3, 69, 123], Operations: ['75+48=123'] Exploring Operation: 3*69=207, Resulting Numbers: [123, 207] Generated Node #3: [123, 207] from Operation: 3*69=207 Current State: 84:[123, 207], Operations: ['75+48=123', '3*69=207'] Exploring Operation: 207-123=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 45, 79, 63, 8 ]
83
[ "79-63=16", "8*16=128", "128-45=83" ]
Current State: 83:[45, 79, 63, 8], Operations: [] Exploring Operation: 79-63=16, Resulting Numbers: [45, 8, 16] Generated Node #2: [45, 8, 16] from Operation: 79-63=16 Current State: 83:[45, 8, 16], Operations: ['79-63=16'] Exploring Operation: 8*16=128, Resulting Numbers: [45, 128] Generated Node #3: [45, 128] from Operation: 8*16=128 Current State: 83:[45, 128], Operations: ['79-63=16', '8*16=128'] Exploring Operation: 128-45=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 35, 21, 69, 29 ]
86
[ "35*69=2415", "2415/21=115", "115-29=86" ]
Current State: 86:[35, 21, 69, 29], Operations: [] Exploring Operation: 35*69=2415, Resulting Numbers: [21, 29, 2415] Generated Node #2: [21, 29, 2415] from Operation: 35*69=2415 Current State: 86:[21, 29, 2415], Operations: ['35*69=2415'] Exploring Operation: 2415/21=115, Resulting Numbers: [29, 115] Generated Node #3: [29, 115] from Operation: 2415/21=115 Current State: 86:[29, 115], Operations: ['35*69=2415', '2415/21=115'] Exploring Operation: 115-29=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 48, 91, 91, 55 ]
55
[ "91-91=0", "48*0=0", "55+0=55" ]
Current State: 55:[48, 91, 91, 55], Operations: [] Exploring Operation: 91-91=0, Resulting Numbers: [48, 55, 0] Generated Node #2: [48, 55, 0] from Operation: 91-91=0 Current State: 55:[48, 55, 0], Operations: ['91-91=0'] Exploring Operation: 48*0=0, Resulting Numbers: [55, 0] Generated Node #3: [55, 0] from Operation: 48*0=0 Current State: 55:[55, 0], Operations: ['91-91=0', '48*0=0'] Exploring Operation: 55+0=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 92, 1, 10, 17 ]
85
[ "92*1=92", "17-10=7", "92-7=85" ]
Current State: 85:[92, 1, 10, 17], Operations: [] Exploring Operation: 92*1=92, Resulting Numbers: [10, 17, 92] Generated Node #2: [10, 17, 92] from Operation: 92*1=92 Current State: 85:[10, 17, 92], Operations: ['92*1=92'] Exploring Operation: 17-10=7, Resulting Numbers: [92, 7] Generated Node #3: [92, 7] from Operation: 17-10=7 Current State: 85:[92, 7], Operations: ['92*1=92', '17-10=7'] Exploring Operation: 92-7=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 85, 82, 74, 40 ]
80
[ "82-74=8", "40/8=5", "85-5=80" ]
Current State: 80:[85, 82, 74, 40], Operations: [] Exploring Operation: 82-74=8, Resulting Numbers: [85, 40, 8] Generated Node #2: [85, 40, 8] from Operation: 82-74=8 Current State: 80:[85, 40, 8], Operations: ['82-74=8'] Exploring Operation: 40/8=5, Resulting Numbers: [85, 5] Generated Node #3: [85, 5] from Operation: 40/8=5 Current State: 80:[85, 5], Operations: ['82-74=8', '40/8=5'] Exploring Operation: 85-5=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 86, 50, 55, 70 ]
89
[ "86-50=36", "55+70=125", "125-36=89" ]
Current State: 89:[86, 50, 55, 70], Operations: [] Exploring Operation: 86-50=36, Resulting Numbers: [55, 70, 36] Generated Node #2: [55, 70, 36] from Operation: 86-50=36 Current State: 89:[55, 70, 36], Operations: ['86-50=36'] Exploring Operation: 55+70=125, Resulting Numbers: [36, 125] Generated Node #3: [36, 125] from Operation: 55+70=125 Current State: 89:[36, 125], Operations: ['86-50=36', '55+70=125'] Exploring Operation: 125-36=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 98, 44, 70, 68 ]
93
[ "70-68=2", "98/2=49", "44+49=93" ]
Current State: 93:[98, 44, 70, 68], Operations: [] Exploring Operation: 70-68=2, Resulting Numbers: [98, 44, 2] Generated Node #2: [98, 44, 2] from Operation: 70-68=2 Current State: 93:[98, 44, 2], Operations: ['70-68=2'] Exploring Operation: 98/2=49, Resulting Numbers: [44, 49] Generated Node #3: [44, 49] from Operation: 98/2=49 Current State: 93:[44, 49], Operations: ['70-68=2', '98/2=49'] Exploring Operation: 44+49=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 97, 95, 84, 77 ]
90
[ "95-84=11", "77/11=7", "97-7=90" ]
Current State: 90:[97, 95, 84, 77], Operations: [] Exploring Operation: 95-84=11, Resulting Numbers: [97, 77, 11] Generated Node #2: [97, 77, 11] from Operation: 95-84=11 Current State: 90:[97, 77, 11], Operations: ['95-84=11'] Exploring Operation: 77/11=7, Resulting Numbers: [97, 7] Generated Node #3: [97, 7] from Operation: 77/11=7 Current State: 90:[97, 7], Operations: ['95-84=11', '77/11=7'] Exploring Operation: 97-7=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 5, 65, 59, 77 ]
78
[ "65-5=60", "77-59=18", "60+18=78" ]
Current State: 78:[5, 65, 59, 77], Operations: [] Exploring Operation: 65-5=60, Resulting Numbers: [59, 77, 60] Generated Node #2: [59, 77, 60] from Operation: 65-5=60 Current State: 78:[59, 77, 60], Operations: ['65-5=60'] Exploring Operation: 77-59=18, Resulting Numbers: [60, 18] Generated Node #3: [60, 18] from Operation: 77-59=18 Current State: 78:[60, 18], Operations: ['65-5=60', '77-59=18'] Exploring Operation: 60+18=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 86, 29, 80, 38 ]
15
[ "86-29=57", "80-38=42", "57-42=15" ]
Current State: 15:[86, 29, 80, 38], Operations: [] Exploring Operation: 86-29=57, Resulting Numbers: [80, 38, 57] Generated Node #2: [80, 38, 57] from Operation: 86-29=57 Current State: 15:[80, 38, 57], Operations: ['86-29=57'] Exploring Operation: 80-38=42, Resulting Numbers: [57, 42] Generated Node #3: [57, 42] from Operation: 80-38=42 Current State: 15:[57, 42], Operations: ['86-29=57', '80-38=42'] Exploring Operation: 57-42=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 95, 38, 8, 62 ]
79
[ "95+38=133", "62-8=54", "133-54=79" ]
Current State: 79:[95, 38, 8, 62], Operations: [] Exploring Operation: 95+38=133, Resulting Numbers: [8, 62, 133] Generated Node #2: [8, 62, 133] from Operation: 95+38=133 Current State: 79:[8, 62, 133], Operations: ['95+38=133'] Exploring Operation: 62-8=54, Resulting Numbers: [133, 54] Generated Node #3: [133, 54] from Operation: 62-8=54 Current State: 79:[133, 54], Operations: ['95+38=133', '62-8=54'] Exploring Operation: 133-54=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 48, 63, 51, 81 ]
54
[ "51-48=3", "81-63=18", "3*18=54" ]
Current State: 54:[48, 63, 51, 81], Operations: [] Exploring Operation: 51-48=3, Resulting Numbers: [63, 81, 3] Generated Node #2: [63, 81, 3] from Operation: 51-48=3 Current State: 54:[63, 81, 3], Operations: ['51-48=3'] Exploring Operation: 81-63=18, Resulting Numbers: [3, 18] Generated Node #3: [3, 18] from Operation: 81-63=18 Current State: 54:[3, 18], Operations: ['51-48=3', '81-63=18'] Exploring Operation: 3*18=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 69, 18, 92, 59 ]
64
[ "69+18=87", "92+59=151", "151-87=64" ]
Current State: 64:[69, 18, 92, 59], Operations: [] Exploring Operation: 69+18=87, Resulting Numbers: [92, 59, 87] Generated Node #2: [92, 59, 87] from Operation: 69+18=87 Current State: 64:[92, 59, 87], Operations: ['69+18=87'] Exploring Operation: 92+59=151, Resulting Numbers: [87, 151] Generated Node #3: [87, 151] from Operation: 92+59=151 Current State: 64:[87, 151], Operations: ['69+18=87', '92+59=151'] Exploring Operation: 151-87=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 89, 13, 75, 70 ]
69
[ "89-13=76", "75+70=145", "145-76=69" ]
Current State: 69:[89, 13, 75, 70], Operations: [] Exploring Operation: 89-13=76, Resulting Numbers: [75, 70, 76] Generated Node #2: [75, 70, 76] from Operation: 89-13=76 Current State: 69:[75, 70, 76], Operations: ['89-13=76'] Exploring Operation: 75+70=145, Resulting Numbers: [76, 145] Generated Node #3: [76, 145] from Operation: 75+70=145 Current State: 69:[76, 145], Operations: ['89-13=76', '75+70=145'] Exploring Operation: 145-76=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 65, 47, 62, 47 ]
62
[ "47-47=0", "65*0=0", "62+0=62" ]
Current State: 62:[65, 47, 62, 47], Operations: [] Exploring Operation: 47-47=0, Resulting Numbers: [65, 62, 0] Generated Node #2: [65, 62, 0] from Operation: 47-47=0 Current State: 62:[65, 62, 0], Operations: ['47-47=0'] Exploring Operation: 65*0=0, Resulting Numbers: [62, 0] Generated Node #3: [62, 0] from Operation: 65*0=0 Current State: 62:[62, 0], Operations: ['47-47=0', '65*0=0'] Exploring Operation: 62+0=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 38, 67, 38, 22 ]
89
[ "38+67=105", "38-22=16", "105-16=89" ]
Current State: 89:[38, 67, 38, 22], Operations: [] Exploring Operation: 38+67=105, Resulting Numbers: [22, 105] Generated Node #2: [22, 105] from Operation: 38+67=105 Current State: 89:[22, 105], Operations: ['38+67=105'] Exploring Operation: 38-22=16, Resulting Numbers: [105, 16] Generated Node #3: [105, 16] from Operation: 38-22=16 Current State: 89:[105, 16], Operations: ['38+67=105', '38-22=16'] Exploring Operation: 105-16=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 1, 58, 11, 49 ]
97
[ "1+58=59", "49-11=38", "59+38=97" ]
Current State: 97:[1, 58, 11, 49], Operations: [] Exploring Operation: 1+58=59, Resulting Numbers: [11, 49, 59] Generated Node #2: [11, 49, 59] from Operation: 1+58=59 Current State: 97:[11, 49, 59], Operations: ['1+58=59'] Exploring Operation: 49-11=38, Resulting Numbers: [59, 38] Generated Node #3: [59, 38] from Operation: 49-11=38 Current State: 97:[59, 38], Operations: ['1+58=59', '49-11=38'] Exploring Operation: 59+38=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 49, 88, 16, 78 ]
18
[ "88-49=39", "78/39=2", "16+2=18" ]
Current State: 18:[49, 88, 16, 78], Operations: [] Exploring Operation: 88-49=39, Resulting Numbers: [16, 78, 39] Generated Node #2: [16, 78, 39] from Operation: 88-49=39 Current State: 18:[16, 78, 39], Operations: ['88-49=39'] Exploring Operation: 78/39=2, Resulting Numbers: [16, 2] Generated Node #3: [16, 2] from Operation: 78/39=2 Current State: 18:[16, 2], Operations: ['88-49=39', '78/39=2'] Exploring Operation: 16+2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 87, 21, 79, 83 ]
54
[ "87+21=108", "79+83=162", "162-108=54" ]
Current State: 54:[87, 21, 79, 83], Operations: [] Exploring Operation: 87+21=108, Resulting Numbers: [79, 83, 108] Generated Node #2: [79, 83, 108] from Operation: 87+21=108 Current State: 54:[79, 83, 108], Operations: ['87+21=108'] Exploring Operation: 79+83=162, Resulting Numbers: [108, 162] Generated Node #3: [108, 162] from Operation: 79+83=162 Current State: 54:[108, 162], Operations: ['87+21=108', '79+83=162'] Exploring Operation: 162-108=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 31, 80, 18, 73 ]
95
[ "80-73=7", "18*7=126", "126-31=95" ]
Current State: 95:[31, 80, 18, 73], Operations: [] Exploring Operation: 80-73=7, Resulting Numbers: [31, 18, 7] Generated Node #2: [31, 18, 7] from Operation: 80-73=7 Current State: 95:[31, 18, 7], Operations: ['80-73=7'] Exploring Operation: 18*7=126, Resulting Numbers: [31, 126] Generated Node #3: [31, 126] from Operation: 18*7=126 Current State: 95:[31, 126], Operations: ['80-73=7', '18*7=126'] Exploring Operation: 126-31=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 32, 74, 73, 43 ]
11
[ "43-32=11", "74-73=1", "11*1=11" ]
Current State: 11:[32, 74, 73, 43], Operations: [] Exploring Operation: 43-32=11, Resulting Numbers: [74, 73, 11] Generated Node #2: [74, 73, 11] from Operation: 43-32=11 Current State: 11:[74, 73, 11], Operations: ['43-32=11'] Exploring Operation: 74-73=1, Resulting Numbers: [11, 1] Generated Node #3: [11, 1] from Operation: 74-73=1 Current State: 11:[11, 1], Operations: ['43-32=11', '74-73=1'] Exploring Operation: 11*1=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 78, 64, 98, 77 ]
11
[ "78-64=14", "98/14=7", "77/7=11" ]
Current State: 11:[78, 64, 98, 77], Operations: [] Exploring Operation: 78-64=14, Resulting Numbers: [98, 77, 14] Generated Node #2: [98, 77, 14] from Operation: 78-64=14 Current State: 11:[98, 77, 14], Operations: ['78-64=14'] Exploring Operation: 98/14=7, Resulting Numbers: [77, 7] Generated Node #3: [77, 7] from Operation: 98/14=7 Current State: 11:[77, 7], Operations: ['78-64=14', '98/14=7'] Exploring Operation: 77/7=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 16, 47, 81, 80 ]
72
[ "47+81=128", "128/16=8", "80-8=72" ]
Current State: 72:[16, 47, 81, 80], Operations: [] Exploring Operation: 47+81=128, Resulting Numbers: [16, 80, 128] Generated Node #2: [16, 80, 128] from Operation: 47+81=128 Current State: 72:[16, 80, 128], Operations: ['47+81=128'] Exploring Operation: 128/16=8, Resulting Numbers: [80, 8] Generated Node #3: [80, 8] from Operation: 128/16=8 Current State: 72:[80, 8], Operations: ['47+81=128', '128/16=8'] Exploring Operation: 80-8=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 99, 54, 21, 24 ]
27
[ "54-21=33", "99/33=3", "24+3=27" ]
Current State: 27:[99, 54, 21, 24], Operations: [] Exploring Operation: 54-21=33, Resulting Numbers: [99, 24, 33] Generated Node #2: [99, 24, 33] from Operation: 54-21=33 Current State: 27:[99, 24, 33], Operations: ['54-21=33'] Exploring Operation: 99/33=3, Resulting Numbers: [24, 3] Generated Node #3: [24, 3] from Operation: 99/33=3 Current State: 27:[24, 3], Operations: ['54-21=33', '99/33=3'] Exploring Operation: 24+3=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 6, 96, 35, 24 ]
83
[ "6*24=144", "96-35=61", "144-61=83" ]
Current State: 83:[6, 96, 35, 24], Operations: [] Exploring Operation: 6*24=144, Resulting Numbers: [96, 35, 144] Generated Node #2: [96, 35, 144] from Operation: 6*24=144 Current State: 83:[96, 35, 144], Operations: ['6*24=144'] Exploring Operation: 96-35=61, Resulting Numbers: [144, 61] Generated Node #3: [144, 61] from Operation: 96-35=61 Current State: 83:[144, 61], Operations: ['6*24=144', '96-35=61'] Exploring Operation: 144-61=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 7, 16, 55, 4 ]
63
[ "16*4=64", "64-55=9", "7*9=63" ]
Current State: 63:[7, 16, 55, 4], Operations: [] Exploring Operation: 16*4=64, Resulting Numbers: [7, 55, 64] Generated Node #2: [7, 55, 64] from Operation: 16*4=64 Current State: 63:[7, 55, 64], Operations: ['16*4=64'] Exploring Operation: 64-55=9, Resulting Numbers: [7, 9] Generated Node #3: [7, 9] from Operation: 64-55=9 Current State: 63:[7, 9], Operations: ['16*4=64', '64-55=9'] Exploring Operation: 7*9=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 20, 3, 20, 4 ]
52
[ "20+20=40", "3*4=12", "40+12=52" ]
Current State: 52:[20, 3, 20, 4], Operations: [] Exploring Operation: 20+20=40, Resulting Numbers: [3, 4, 40] Generated Node #2: [3, 4, 40] from Operation: 20+20=40 Current State: 52:[3, 4, 40], Operations: ['20+20=40'] Exploring Operation: 3*4=12, Resulting Numbers: [40, 12] Generated Node #3: [40, 12] from Operation: 3*4=12 Current State: 52:[40, 12], Operations: ['20+20=40', '3*4=12'] Exploring Operation: 40+12=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 49, 13, 48, 76 ]
90
[ "49+13=62", "76-48=28", "62+28=90" ]
Current State: 90:[49, 13, 48, 76], Operations: [] Exploring Operation: 49+13=62, Resulting Numbers: [48, 76, 62] Generated Node #2: [48, 76, 62] from Operation: 49+13=62 Current State: 90:[48, 76, 62], Operations: ['49+13=62'] Exploring Operation: 76-48=28, Resulting Numbers: [62, 28] Generated Node #3: [62, 28] from Operation: 76-48=28 Current State: 90:[62, 28], Operations: ['49+13=62', '76-48=28'] Exploring Operation: 62+28=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 49, 11, 41, 75 ]
72
[ "49-11=38", "75-41=34", "38+34=72" ]
Current State: 72:[49, 11, 41, 75], Operations: [] Exploring Operation: 49-11=38, Resulting Numbers: [41, 75, 38] Generated Node #2: [41, 75, 38] from Operation: 49-11=38 Current State: 72:[41, 75, 38], Operations: ['49-11=38'] Exploring Operation: 75-41=34, Resulting Numbers: [38, 34] Generated Node #3: [38, 34] from Operation: 75-41=34 Current State: 72:[38, 34], Operations: ['49-11=38', '75-41=34'] Exploring Operation: 38+34=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 74, 71, 79, 35 ]
64
[ "79-74=5", "35/5=7", "71-7=64" ]
Current State: 64:[74, 71, 79, 35], Operations: [] Exploring Operation: 79-74=5, Resulting Numbers: [71, 35, 5] Generated Node #2: [71, 35, 5] from Operation: 79-74=5 Current State: 64:[71, 35, 5], Operations: ['79-74=5'] Exploring Operation: 35/5=7, Resulting Numbers: [71, 7] Generated Node #3: [71, 7] from Operation: 35/5=7 Current State: 64:[71, 7], Operations: ['79-74=5', '35/5=7'] Exploring Operation: 71-7=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 25, 91, 2, 28 ]
47
[ "91-25=66", "28+66=94", "94/2=47" ]
Current State: 47:[25, 91, 2, 28], Operations: [] Exploring Operation: 91-25=66, Resulting Numbers: [2, 28, 66] Generated Node #2: [2, 28, 66] from Operation: 91-25=66 Current State: 47:[2, 28, 66], Operations: ['91-25=66'] Exploring Operation: 28+66=94, Resulting Numbers: [2, 94] Generated Node #3: [2, 94] from Operation: 28+66=94 Current State: 47:[2, 94], Operations: ['91-25=66', '28+66=94'] Exploring Operation: 94/2=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 87, 48, 16, 4 ]
19
[ "87-48=39", "16+4=20", "39-20=19" ]
Current State: 19:[87, 48, 16, 4], Operations: [] Exploring Operation: 87-48=39, Resulting Numbers: [16, 4, 39] Generated Node #2: [16, 4, 39] from Operation: 87-48=39 Current State: 19:[16, 4, 39], Operations: ['87-48=39'] Exploring Operation: 16+4=20, Resulting Numbers: [39, 20] Generated Node #3: [39, 20] from Operation: 16+4=20 Current State: 19:[39, 20], Operations: ['87-48=39', '16+4=20'] Exploring Operation: 39-20=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 3, 52, 14, 27 ]
14
[ "3+52=55", "14+27=41", "55-41=14" ]
Current State: 14:[3, 52, 14, 27], Operations: [] Exploring Operation: 3+52=55, Resulting Numbers: [14, 27, 55] Generated Node #2: [14, 27, 55] from Operation: 3+52=55 Current State: 14:[14, 27, 55], Operations: ['3+52=55'] Exploring Operation: 14+27=41, Resulting Numbers: [55, 41] Generated Node #3: [55, 41] from Operation: 14+27=41 Current State: 14:[55, 41], Operations: ['3+52=55', '14+27=41'] Exploring Operation: 55-41=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 55, 51, 81, 3 ]
79
[ "55+51=106", "81/3=27", "106-27=79" ]
Current State: 79:[55, 51, 81, 3], Operations: [] Exploring Operation: 55+51=106, Resulting Numbers: [81, 3, 106] Generated Node #2: [81, 3, 106] from Operation: 55+51=106 Current State: 79:[81, 3, 106], Operations: ['55+51=106'] Exploring Operation: 81/3=27, Resulting Numbers: [106, 27] Generated Node #3: [106, 27] from Operation: 81/3=27 Current State: 79:[106, 27], Operations: ['55+51=106', '81/3=27'] Exploring Operation: 106-27=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 26, 21, 66, 25 ]
46
[ "26-21=5", "66-25=41", "5+41=46" ]
Current State: 46:[26, 21, 66, 25], Operations: [] Exploring Operation: 26-21=5, Resulting Numbers: [66, 25, 5] Generated Node #2: [66, 25, 5] from Operation: 26-21=5 Current State: 46:[66, 25, 5], Operations: ['26-21=5'] Exploring Operation: 66-25=41, Resulting Numbers: [5, 41] Generated Node #3: [5, 41] from Operation: 66-25=41 Current State: 46:[5, 41], Operations: ['26-21=5', '66-25=41'] Exploring Operation: 5+41=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 44, 97, 9, 54 ]
47
[ "97-44=53", "54/9=6", "53-6=47" ]
Current State: 47:[44, 97, 9, 54], Operations: [] Exploring Operation: 97-44=53, Resulting Numbers: [9, 54, 53] Generated Node #2: [9, 54, 53] from Operation: 97-44=53 Current State: 47:[9, 54, 53], Operations: ['97-44=53'] Exploring Operation: 54/9=6, Resulting Numbers: [53, 6] Generated Node #3: [53, 6] from Operation: 54/9=6 Current State: 47:[53, 6], Operations: ['97-44=53', '54/9=6'] Exploring Operation: 53-6=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 25, 61, 14, 88 ]
69
[ "25-14=11", "88/11=8", "61+8=69" ]
Current State: 69:[25, 61, 14, 88], Operations: [] Exploring Operation: 25-14=11, Resulting Numbers: [61, 88, 11] Generated Node #2: [61, 88, 11] from Operation: 25-14=11 Current State: 69:[61, 88, 11], Operations: ['25-14=11'] Exploring Operation: 88/11=8, Resulting Numbers: [61, 8] Generated Node #3: [61, 8] from Operation: 88/11=8 Current State: 69:[61, 8], Operations: ['25-14=11', '88/11=8'] Exploring Operation: 61+8=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 14, 95, 93, 54 ]
38
[ "14+95=109", "93+54=147", "147-109=38" ]
Current State: 38:[14, 95, 93, 54], Operations: [] Exploring Operation: 14+95=109, Resulting Numbers: [93, 54, 109] Generated Node #2: [93, 54, 109] from Operation: 14+95=109 Current State: 38:[93, 54, 109], Operations: ['14+95=109'] Exploring Operation: 93+54=147, Resulting Numbers: [109, 147] Generated Node #3: [109, 147] from Operation: 93+54=147 Current State: 38:[109, 147], Operations: ['14+95=109', '93+54=147'] Exploring Operation: 147-109=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 4, 96, 45, 61 ]
32
[ "61-45=16", "4*16=64", "96-64=32" ]
Current State: 32:[4, 96, 45, 61], Operations: [] Exploring Operation: 61-45=16, Resulting Numbers: [4, 96, 16] Generated Node #2: [4, 96, 16] from Operation: 61-45=16 Current State: 32:[4, 96, 16], Operations: ['61-45=16'] Exploring Operation: 4*16=64, Resulting Numbers: [96, 64] Generated Node #3: [96, 64] from Operation: 4*16=64 Current State: 32:[96, 64], Operations: ['61-45=16', '4*16=64'] Exploring Operation: 96-64=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 66, 29, 44, 84 ]
27
[ "44*84=3696", "3696/66=56", "56-29=27" ]
Current State: 27:[66, 29, 44, 84], Operations: [] Exploring Operation: 44*84=3696, Resulting Numbers: [66, 29, 3696] Generated Node #2: [66, 29, 3696] from Operation: 44*84=3696 Current State: 27:[66, 29, 3696], Operations: ['44*84=3696'] Exploring Operation: 3696/66=56, Resulting Numbers: [29, 56] Generated Node #3: [29, 56] from Operation: 3696/66=56 Current State: 27:[29, 56], Operations: ['44*84=3696', '3696/66=56'] Exploring Operation: 56-29=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 32, 92, 67, 65 ]
30
[ "92-32=60", "67-65=2", "60/2=30" ]
Current State: 30:[32, 92, 67, 65], Operations: [] Exploring Operation: 92-32=60, Resulting Numbers: [67, 65, 60] Generated Node #2: [67, 65, 60] from Operation: 92-32=60 Current State: 30:[67, 65, 60], Operations: ['92-32=60'] Exploring Operation: 67-65=2, Resulting Numbers: [60, 2] Generated Node #3: [60, 2] from Operation: 67-65=2 Current State: 30:[60, 2], Operations: ['92-32=60', '67-65=2'] Exploring Operation: 60/2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 73, 25, 40, 28 ]
72
[ "73-28=45", "40*45=1800", "1800/25=72" ]
Current State: 72:[73, 25, 40, 28], Operations: [] Exploring Operation: 73-28=45, Resulting Numbers: [25, 40, 45] Generated Node #2: [25, 40, 45] from Operation: 73-28=45 Current State: 72:[25, 40, 45], Operations: ['73-28=45'] Exploring Operation: 40*45=1800, Resulting Numbers: [25, 1800] Generated Node #3: [25, 1800] from Operation: 40*45=1800 Current State: 72:[25, 1800], Operations: ['73-28=45', '40*45=1800'] Exploring Operation: 1800/25=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 63, 56, 2, 45 ]
97
[ "63-56=7", "2*45=90", "7+90=97" ]
Current State: 97:[63, 56, 2, 45], Operations: [] Exploring Operation: 63-56=7, Resulting Numbers: [2, 45, 7] Generated Node #2: [2, 45, 7] from Operation: 63-56=7 Current State: 97:[2, 45, 7], Operations: ['63-56=7'] Exploring Operation: 2*45=90, Resulting Numbers: [7, 90] Generated Node #3: [7, 90] from Operation: 2*45=90 Current State: 97:[7, 90], Operations: ['63-56=7', '2*45=90'] Exploring Operation: 7+90=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 33, 46, 55, 52 ]
57
[ "55-52=3", "33/3=11", "46+11=57" ]
Current State: 57:[33, 46, 55, 52], Operations: [] Exploring Operation: 55-52=3, Resulting Numbers: [33, 46, 3] Generated Node #2: [33, 46, 3] from Operation: 55-52=3 Current State: 57:[33, 46, 3], Operations: ['55-52=3'] Exploring Operation: 33/3=11, Resulting Numbers: [46, 11] Generated Node #3: [46, 11] from Operation: 33/3=11 Current State: 57:[46, 11], Operations: ['55-52=3', '33/3=11'] Exploring Operation: 46+11=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 38, 70, 63, 58 ]
13
[ "38+70=108", "63+58=121", "121-108=13" ]
Current State: 13:[38, 70, 63, 58], Operations: [] Exploring Operation: 38+70=108, Resulting Numbers: [63, 58, 108] Generated Node #2: [63, 58, 108] from Operation: 38+70=108 Current State: 13:[63, 58, 108], Operations: ['38+70=108'] Exploring Operation: 63+58=121, Resulting Numbers: [108, 121] Generated Node #3: [108, 121] from Operation: 63+58=121 Current State: 13:[108, 121], Operations: ['38+70=108', '63+58=121'] Exploring Operation: 121-108=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 50, 95, 23, 65 ]
45
[ "95*23=2185", "65+2185=2250", "2250/50=45" ]
Current State: 45:[50, 95, 23, 65], Operations: [] Exploring Operation: 95*23=2185, Resulting Numbers: [50, 65, 2185] Generated Node #2: [50, 65, 2185] from Operation: 95*23=2185 Current State: 45:[50, 65, 2185], Operations: ['95*23=2185'] Exploring Operation: 65+2185=2250, Resulting Numbers: [50, 2250] Generated Node #3: [50, 2250] from Operation: 65+2185=2250 Current State: 45:[50, 2250], Operations: ['95*23=2185', '65+2185=2250'] Exploring Operation: 2250/50=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 71, 4, 64, 96 ]
77
[ "64/4=16", "96/16=6", "71+6=77" ]
Current State: 77:[71, 4, 64, 96], Operations: [] Exploring Operation: 64/4=16, Resulting Numbers: [71, 96, 16] Generated Node #2: [71, 96, 16] from Operation: 64/4=16 Current State: 77:[71, 96, 16], Operations: ['64/4=16'] Exploring Operation: 96/16=6, Resulting Numbers: [71, 6] Generated Node #3: [71, 6] from Operation: 96/16=6 Current State: 77:[71, 6], Operations: ['64/4=16', '96/16=6'] Exploring Operation: 71+6=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4