Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 12, 34, 11, 66 ]
31
[ "12+34=46", "11+66=77", "77-46=31" ]
Current State: 31:[12, 34, 11, 66], Operations: [] Exploring Operation: 12+34=46, Resulting Numbers: [11, 66, 46] Generated Node #2: [11, 66, 46] from Operation: 12+34=46 Current State: 31:[11, 66, 46], Operations: ['12+34=46'] Exploring Operation: 11+66=77, Resulting Numbers: [46, 77] Generated Node #3: [46, 77] from Operation: 11+66=77 Current State: 31:[46, 77], Operations: ['12+34=46', '11+66=77'] Exploring Operation: 77-46=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 13, 32, 34, 28 ]
39
[ "13+32=45", "34-28=6", "45-6=39" ]
Current State: 39:[13, 32, 34, 28], Operations: [] Exploring Operation: 13+32=45, Resulting Numbers: [34, 28, 45] Generated Node #2: [34, 28, 45] from Operation: 13+32=45 Current State: 39:[34, 28, 45], Operations: ['13+32=45'] Exploring Operation: 34-28=6, Resulting Numbers: [45, 6] Generated Node #3: [45, 6] from Operation: 34-28=6 Current State: 39:[45, 6], Operations: ['13+32=45', '34-28=6'] Exploring Operation: 45-6=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 7, 56, 42, 76 ]
55
[ "7+56=63", "42+76=118", "118-63=55" ]
Current State: 55:[7, 56, 42, 76], Operations: [] Exploring Operation: 7+56=63, Resulting Numbers: [42, 76, 63] Generated Node #2: [42, 76, 63] from Operation: 7+56=63 Current State: 55:[42, 76, 63], Operations: ['7+56=63'] Exploring Operation: 42+76=118, Resulting Numbers: [63, 118] Generated Node #3: [63, 118] from Operation: 42+76=118 Current State: 55:[63, 118], Operations: ['7+56=63', '42+76=118'] Exploring Operation: 118-63=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 43, 14, 6, 24 ]
87
[ "43+14=57", "6+24=30", "57+30=87" ]
Current State: 87:[43, 14, 6, 24], Operations: [] Exploring Operation: 43+14=57, Resulting Numbers: [6, 24, 57] Generated Node #2: [6, 24, 57] from Operation: 43+14=57 Current State: 87:[6, 24, 57], Operations: ['43+14=57'] Exploring Operation: 6+24=30, Resulting Numbers: [57, 30] Generated Node #3: [57, 30] from Operation: 6+24=30 Current State: 87:[57, 30], Operations: ['43+14=57', '6+24=30'] Exploring Operation: 57+30=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 86, 47, 32, 21 ]
59
[ "86*32=2752", "21+2752=2773", "2773/47=59" ]
Current State: 59:[86, 47, 32, 21], Operations: [] Exploring Operation: 86*32=2752, Resulting Numbers: [47, 21, 2752] Generated Node #2: [47, 21, 2752] from Operation: 86*32=2752 Current State: 59:[47, 21, 2752], Operations: ['86*32=2752'] Exploring Operation: 21+2752=2773, Resulting Numbers: [47, 2773] Generated Node #3: [47, 2773] from Operation: 21+2752=2773 Current State: 59:[47, 2773], Operations: ['86*32=2752', '21+2752=2773'] Exploring Operation: 2773/47=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 52, 70, 85, 68 ]
66
[ "85-52=33", "70-68=2", "33*2=66" ]
Current State: 66:[52, 70, 85, 68], Operations: [] Exploring Operation: 85-52=33, Resulting Numbers: [70, 68, 33] Generated Node #2: [70, 68, 33] from Operation: 85-52=33 Current State: 66:[70, 68, 33], Operations: ['85-52=33'] Exploring Operation: 70-68=2, Resulting Numbers: [33, 2] Generated Node #3: [33, 2] from Operation: 70-68=2 Current State: 66:[33, 2], Operations: ['85-52=33', '70-68=2'] Exploring Operation: 33*2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 78, 36, 3, 70 ]
96
[ "78+36=114", "3*70=210", "210-114=96" ]
Current State: 96:[78, 36, 3, 70], Operations: [] Exploring Operation: 78+36=114, Resulting Numbers: [3, 70, 114] Generated Node #2: [3, 70, 114] from Operation: 78+36=114 Current State: 96:[3, 70, 114], Operations: ['78+36=114'] Exploring Operation: 3*70=210, Resulting Numbers: [114, 210] Generated Node #3: [114, 210] from Operation: 3*70=210 Current State: 96:[114, 210], Operations: ['78+36=114', '3*70=210'] Exploring Operation: 210-114=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 13, 3, 35, 40 ]
21
[ "13+3=16", "40-35=5", "16+5=21" ]
Current State: 21:[13, 3, 35, 40], Operations: [] Exploring Operation: 13+3=16, Resulting Numbers: [35, 40, 16] Generated Node #2: [35, 40, 16] from Operation: 13+3=16 Current State: 21:[35, 40, 16], Operations: ['13+3=16'] Exploring Operation: 40-35=5, Resulting Numbers: [16, 5] Generated Node #3: [16, 5] from Operation: 40-35=5 Current State: 21:[16, 5], Operations: ['13+3=16', '40-35=5'] Exploring Operation: 16+5=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 15, 39, 16, 71 ]
79
[ "39-15=24", "71-16=55", "24+55=79" ]
Current State: 79:[15, 39, 16, 71], Operations: [] Exploring Operation: 39-15=24, Resulting Numbers: [16, 71, 24] Generated Node #2: [16, 71, 24] from Operation: 39-15=24 Current State: 79:[16, 71, 24], Operations: ['39-15=24'] Exploring Operation: 71-16=55, Resulting Numbers: [24, 55] Generated Node #3: [24, 55] from Operation: 71-16=55 Current State: 79:[24, 55], Operations: ['39-15=24', '71-16=55'] Exploring Operation: 24+55=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 39, 3, 27, 46 ]
31
[ "39+3=42", "27+46=73", "73-42=31" ]
Current State: 31:[39, 3, 27, 46], Operations: [] Exploring Operation: 39+3=42, Resulting Numbers: [27, 46, 42] Generated Node #2: [27, 46, 42] from Operation: 39+3=42 Current State: 31:[27, 46, 42], Operations: ['39+3=42'] Exploring Operation: 27+46=73, Resulting Numbers: [42, 73] Generated Node #3: [42, 73] from Operation: 27+46=73 Current State: 31:[42, 73], Operations: ['39+3=42', '27+46=73'] Exploring Operation: 73-42=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 13, 56, 52, 4 ]
64
[ "52/13=4", "56+4=60", "4+60=64" ]
Current State: 64:[13, 56, 52, 4], Operations: [] Exploring Operation: 52/13=4, Resulting Numbers: [56, 4, 4] Generated Node #2: [56, 4, 4] from Operation: 52/13=4 Current State: 64:[56, 4, 4], Operations: ['52/13=4'] Exploring Operation: 56+4=60, Resulting Numbers: [60] 60,64 equal: Goal Reached Exploring Operation: 4+60=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 34, 5, 72, 26 ]
72
[ "34*5=170", "72+26=98", "170-98=72" ]
Current State: 72:[34, 5, 72, 26], Operations: [] Exploring Operation: 34*5=170, Resulting Numbers: [72, 26, 170] Generated Node #2: [72, 26, 170] from Operation: 34*5=170 Current State: 72:[72, 26, 170], Operations: ['34*5=170'] Exploring Operation: 72+26=98, Resulting Numbers: [170, 98] Generated Node #3: [170, 98] from Operation: 72+26=98 Current State: 72:[170, 98], Operations: ['34*5=170', '72+26=98'] Exploring Operation: 170-98=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 62, 98, 95, 39 ]
26
[ "62+98=160", "95+39=134", "160-134=26" ]
Current State: 26:[62, 98, 95, 39], Operations: [] Exploring Operation: 62+98=160, Resulting Numbers: [95, 39, 160] Generated Node #2: [95, 39, 160] from Operation: 62+98=160 Current State: 26:[95, 39, 160], Operations: ['62+98=160'] Exploring Operation: 95+39=134, Resulting Numbers: [160, 134] Generated Node #3: [160, 134] from Operation: 95+39=134 Current State: 26:[160, 134], Operations: ['62+98=160', '95+39=134'] Exploring Operation: 160-134=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 67, 63, 18, 17 ]
24
[ "67+17=84", "18*84=1512", "1512/63=24" ]
Current State: 24:[67, 63, 18, 17], Operations: [] Exploring Operation: 67+17=84, Resulting Numbers: [63, 18, 84] Generated Node #2: [63, 18, 84] from Operation: 67+17=84 Current State: 24:[63, 18, 84], Operations: ['67+17=84'] Exploring Operation: 18*84=1512, Resulting Numbers: [63, 1512] Generated Node #3: [63, 1512] from Operation: 18*84=1512 Current State: 24:[63, 1512], Operations: ['67+17=84', '18*84=1512'] Exploring Operation: 1512/63=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 56, 42, 16, 37 ]
49
[ "42*16=672", "672/56=12", "37+12=49" ]
Current State: 49:[56, 42, 16, 37], Operations: [] Exploring Operation: 42*16=672, Resulting Numbers: [56, 37, 672] Generated Node #2: [56, 37, 672] from Operation: 42*16=672 Current State: 49:[56, 37, 672], Operations: ['42*16=672'] Exploring Operation: 672/56=12, Resulting Numbers: [37, 12] Generated Node #3: [37, 12] from Operation: 672/56=12 Current State: 49:[37, 12], Operations: ['42*16=672', '672/56=12'] Exploring Operation: 37+12=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 21, 34, 29, 1 ]
83
[ "21+34=55", "29-1=28", "55+28=83" ]
Current State: 83:[21, 34, 29, 1], Operations: [] Exploring Operation: 21+34=55, Resulting Numbers: [29, 1, 55] Generated Node #2: [29, 1, 55] from Operation: 21+34=55 Current State: 83:[29, 1, 55], Operations: ['21+34=55'] Exploring Operation: 29-1=28, Resulting Numbers: [55, 28] Generated Node #3: [55, 28] from Operation: 29-1=28 Current State: 83:[55, 28], Operations: ['21+34=55', '29-1=28'] Exploring Operation: 55+28=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 9, 21, 22, 97 ]
89
[ "9+21=30", "22+97=119", "119-30=89" ]
Current State: 89:[9, 21, 22, 97], Operations: [] Exploring Operation: 9+21=30, Resulting Numbers: [22, 97, 30] Generated Node #2: [22, 97, 30] from Operation: 9+21=30 Current State: 89:[22, 97, 30], Operations: ['9+21=30'] Exploring Operation: 22+97=119, Resulting Numbers: [30, 119] Generated Node #3: [30, 119] from Operation: 22+97=119 Current State: 89:[30, 119], Operations: ['9+21=30', '22+97=119'] Exploring Operation: 119-30=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 39, 70, 28, 26 ]
28
[ "39*28=1092", "1092/26=42", "70-42=28" ]
Current State: 28:[39, 70, 28, 26], Operations: [] Exploring Operation: 39*28=1092, Resulting Numbers: [70, 26, 1092] Generated Node #2: [70, 26, 1092] from Operation: 39*28=1092 Current State: 28:[70, 26, 1092], Operations: ['39*28=1092'] Exploring Operation: 1092/26=42, Resulting Numbers: [70, 42] Generated Node #3: [70, 42] from Operation: 1092/26=42 Current State: 28:[70, 42], Operations: ['39*28=1092', '1092/26=42'] Exploring Operation: 70-42=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 11, 7, 1, 78 ]
22
[ "78-1=77", "77/7=11", "11+11=22" ]
Current State: 22:[11, 7, 1, 78], Operations: [] Exploring Operation: 78-1=77, Resulting Numbers: [11, 7, 77] Generated Node #2: [11, 7, 77] from Operation: 78-1=77 Current State: 22:[11, 7, 77], Operations: ['78-1=77'] Exploring Operation: 77/7=11, Resulting Numbers: [11, 11] Generated Node #3: [11, 11] from Operation: 77/7=11 Current State: 22:[11, 11], Operations: ['78-1=77', '77/7=11'] Exploring Operation: 11+11=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 99, 75, 58, 16 ]
87
[ "99-75=24", "58*24=1392", "1392/16=87" ]
Current State: 87:[99, 75, 58, 16], Operations: [] Exploring Operation: 99-75=24, Resulting Numbers: [58, 16, 24] Generated Node #2: [58, 16, 24] from Operation: 99-75=24 Current State: 87:[58, 16, 24], Operations: ['99-75=24'] Exploring Operation: 58*24=1392, Resulting Numbers: [16, 1392] Generated Node #3: [16, 1392] from Operation: 58*24=1392 Current State: 87:[16, 1392], Operations: ['99-75=24', '58*24=1392'] Exploring Operation: 1392/16=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 10, 75, 70, 26 ]
41
[ "10+75=85", "70-26=44", "85-44=41" ]
Current State: 41:[10, 75, 70, 26], Operations: [] Exploring Operation: 10+75=85, Resulting Numbers: [70, 26, 85] Generated Node #2: [70, 26, 85] from Operation: 10+75=85 Current State: 41:[70, 26, 85], Operations: ['10+75=85'] Exploring Operation: 70-26=44, Resulting Numbers: [85, 44] Generated Node #3: [85, 44] from Operation: 70-26=44 Current State: 41:[85, 44], Operations: ['10+75=85', '70-26=44'] Exploring Operation: 85-44=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 15, 10, 58, 37 ]
46
[ "15+10=25", "58-37=21", "25+21=46" ]
Current State: 46:[15, 10, 58, 37], Operations: [] Exploring Operation: 15+10=25, Resulting Numbers: [58, 37, 25] Generated Node #2: [58, 37, 25] from Operation: 15+10=25 Current State: 46:[58, 37, 25], Operations: ['15+10=25'] Exploring Operation: 58-37=21, Resulting Numbers: [25, 21] Generated Node #3: [25, 21] from Operation: 58-37=21 Current State: 46:[25, 21], Operations: ['15+10=25', '58-37=21'] Exploring Operation: 25+21=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 84, 96, 46, 43 ]
15
[ "96-84=12", "46-43=3", "12+3=15" ]
Current State: 15:[84, 96, 46, 43], Operations: [] Exploring Operation: 96-84=12, Resulting Numbers: [46, 43, 12] Generated Node #2: [46, 43, 12] from Operation: 96-84=12 Current State: 15:[46, 43, 12], Operations: ['96-84=12'] Exploring Operation: 46-43=3, Resulting Numbers: [12, 3] Generated Node #3: [12, 3] from Operation: 46-43=3 Current State: 15:[12, 3], Operations: ['96-84=12', '46-43=3'] Exploring Operation: 12+3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 13, 14, 71, 17 ]
65
[ "14+71=85", "13*85=1105", "1105/17=65" ]
Current State: 65:[13, 14, 71, 17], Operations: [] Exploring Operation: 14+71=85, Resulting Numbers: [13, 17, 85] Generated Node #2: [13, 17, 85] from Operation: 14+71=85 Current State: 65:[13, 17, 85], Operations: ['14+71=85'] Exploring Operation: 13*85=1105, Resulting Numbers: [17, 1105] Generated Node #3: [17, 1105] from Operation: 13*85=1105 Current State: 65:[17, 1105], Operations: ['14+71=85', '13*85=1105'] Exploring Operation: 1105/17=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 54, 54, 62, 99 ]
62
[ "54-54=0", "99*0=0", "62+0=62" ]
Current State: 62:[54, 54, 62, 99], Operations: [] Exploring Operation: 54-54=0, Resulting Numbers: [62, 99, 0] Generated Node #2: [62, 99, 0] from Operation: 54-54=0 Current State: 62:[62, 99, 0], Operations: ['54-54=0'] Exploring Operation: 99*0=0, Resulting Numbers: [62, 0] Generated Node #3: [62, 0] from Operation: 99*0=0 Current State: 62:[62, 0], Operations: ['54-54=0', '99*0=0'] Exploring Operation: 62+0=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 72, 7, 56, 53 ]
68
[ "72-7=65", "56-53=3", "65+3=68" ]
Current State: 68:[72, 7, 56, 53], Operations: [] Exploring Operation: 72-7=65, Resulting Numbers: [56, 53, 65] Generated Node #2: [56, 53, 65] from Operation: 72-7=65 Current State: 68:[56, 53, 65], Operations: ['72-7=65'] Exploring Operation: 56-53=3, Resulting Numbers: [65, 3] Generated Node #3: [65, 3] from Operation: 56-53=3 Current State: 68:[65, 3], Operations: ['72-7=65', '56-53=3'] Exploring Operation: 65+3=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 57, 77, 86, 74 ]
87
[ "86-57=29", "77-74=3", "29*3=87" ]
Current State: 87:[57, 77, 86, 74], Operations: [] Exploring Operation: 86-57=29, Resulting Numbers: [77, 74, 29] Generated Node #2: [77, 74, 29] from Operation: 86-57=29 Current State: 87:[77, 74, 29], Operations: ['86-57=29'] Exploring Operation: 77-74=3, Resulting Numbers: [29, 3] Generated Node #3: [29, 3] from Operation: 77-74=3 Current State: 87:[29, 3], Operations: ['86-57=29', '77-74=3'] Exploring Operation: 29*3=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 16, 40, 38, 42 ]
92
[ "42-40=2", "38*2=76", "16+76=92" ]
Current State: 92:[16, 40, 38, 42], Operations: [] Exploring Operation: 42-40=2, Resulting Numbers: [16, 38, 2] Generated Node #2: [16, 38, 2] from Operation: 42-40=2 Current State: 92:[16, 38, 2], Operations: ['42-40=2'] Exploring Operation: 38*2=76, Resulting Numbers: [16, 76] Generated Node #3: [16, 76] from Operation: 38*2=76 Current State: 92:[16, 76], Operations: ['42-40=2', '38*2=76'] Exploring Operation: 16+76=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 93, 63, 96, 7 ]
84
[ "96-93=3", "7*3=21", "63+21=84" ]
Current State: 84:[93, 63, 96, 7], Operations: [] Exploring Operation: 96-93=3, Resulting Numbers: [63, 7, 3] Generated Node #2: [63, 7, 3] from Operation: 96-93=3 Current State: 84:[63, 7, 3], Operations: ['96-93=3'] Exploring Operation: 7*3=21, Resulting Numbers: [63, 21] Generated Node #3: [63, 21] from Operation: 7*3=21 Current State: 84:[63, 21], Operations: ['96-93=3', '7*3=21'] Exploring Operation: 63+21=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 97, 45, 33, 38 ]
88
[ "38-33=5", "45/5=9", "97-9=88" ]
Current State: 88:[97, 45, 33, 38], Operations: [] Exploring Operation: 38-33=5, Resulting Numbers: [97, 45, 5] Generated Node #2: [97, 45, 5] from Operation: 38-33=5 Current State: 88:[97, 45, 5], Operations: ['38-33=5'] Exploring Operation: 45/5=9, Resulting Numbers: [97, 9] Generated Node #3: [97, 9] from Operation: 45/5=9 Current State: 88:[97, 9], Operations: ['38-33=5', '45/5=9'] Exploring Operation: 97-9=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 48, 7, 3, 2 ]
13
[ "48-7=41", "41-2=39", "39/3=13" ]
Current State: 13:[48, 7, 3, 2], Operations: [] Exploring Operation: 48-7=41, Resulting Numbers: [3, 2, 41] Generated Node #2: [3, 2, 41] from Operation: 48-7=41 Current State: 13:[3, 2, 41], Operations: ['48-7=41'] Exploring Operation: 41-2=39, Resulting Numbers: [3, 39] Generated Node #3: [3, 39] from Operation: 41-2=39 Current State: 13:[3, 39], Operations: ['48-7=41', '41-2=39'] Exploring Operation: 39/3=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 29, 83, 69, 36 ]
98
[ "36-29=7", "83-69=14", "7*14=98" ]
Current State: 98:[29, 83, 69, 36], Operations: [] Exploring Operation: 36-29=7, Resulting Numbers: [83, 69, 7] Generated Node #2: [83, 69, 7] from Operation: 36-29=7 Current State: 98:[83, 69, 7], Operations: ['36-29=7'] Exploring Operation: 83-69=14, Resulting Numbers: [7, 14] Generated Node #3: [7, 14] from Operation: 83-69=14 Current State: 98:[7, 14], Operations: ['36-29=7', '83-69=14'] Exploring Operation: 7*14=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 2, 71, 67, 48 ]
45
[ "71+67=138", "138-48=90", "90/2=45" ]
Current State: 45:[2, 71, 67, 48], Operations: [] Exploring Operation: 71+67=138, Resulting Numbers: [2, 48, 138] Generated Node #2: [2, 48, 138] from Operation: 71+67=138 Current State: 45:[2, 48, 138], Operations: ['71+67=138'] Exploring Operation: 138-48=90, Resulting Numbers: [2, 90] Generated Node #3: [2, 90] from Operation: 138-48=90 Current State: 45:[2, 90], Operations: ['71+67=138', '138-48=90'] Exploring Operation: 90/2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 2, 9, 28, 89 ]
79
[ "2*9=18", "89-28=61", "18+61=79" ]
Current State: 79:[2, 9, 28, 89], Operations: [] Exploring Operation: 2*9=18, Resulting Numbers: [28, 89, 18] Generated Node #2: [28, 89, 18] from Operation: 2*9=18 Current State: 79:[28, 89, 18], Operations: ['2*9=18'] Exploring Operation: 89-28=61, Resulting Numbers: [18, 61] Generated Node #3: [18, 61] from Operation: 89-28=61 Current State: 79:[18, 61], Operations: ['2*9=18', '89-28=61'] Exploring Operation: 18+61=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 78, 72, 26, 23 ]
47
[ "78/26=3", "72/3=24", "23+24=47" ]
Current State: 47:[78, 72, 26, 23], Operations: [] Exploring Operation: 78/26=3, Resulting Numbers: [72, 23, 3] Generated Node #2: [72, 23, 3] from Operation: 78/26=3 Current State: 47:[72, 23, 3], Operations: ['78/26=3'] Exploring Operation: 72/3=24, Resulting Numbers: [23, 24] Generated Node #3: [23, 24] from Operation: 72/3=24 Current State: 47:[23, 24], Operations: ['78/26=3', '72/3=24'] Exploring Operation: 23+24=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 43, 20, 23, 38 ]
78
[ "43+20=63", "38-23=15", "63+15=78" ]
Current State: 78:[43, 20, 23, 38], Operations: [] Exploring Operation: 43+20=63, Resulting Numbers: [23, 38, 63] Generated Node #2: [23, 38, 63] from Operation: 43+20=63 Current State: 78:[23, 38, 63], Operations: ['43+20=63'] Exploring Operation: 38-23=15, Resulting Numbers: [63, 15] Generated Node #3: [63, 15] from Operation: 38-23=15 Current State: 78:[63, 15], Operations: ['43+20=63', '38-23=15'] Exploring Operation: 63+15=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 12, 34, 14, 21 ]
50
[ "21-14=7", "12*7=84", "84-34=50" ]
Current State: 50:[12, 34, 14, 21], Operations: [] Exploring Operation: 21-14=7, Resulting Numbers: [12, 34, 7] Generated Node #2: [12, 34, 7] from Operation: 21-14=7 Current State: 50:[12, 34, 7], Operations: ['21-14=7'] Exploring Operation: 12*7=84, Resulting Numbers: [34, 84] Generated Node #3: [34, 84] from Operation: 12*7=84 Current State: 50:[34, 84], Operations: ['21-14=7', '12*7=84'] Exploring Operation: 84-34=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 55, 42, 74, 76 ]
53
[ "55+42=97", "74+76=150", "150-97=53" ]
Current State: 53:[55, 42, 74, 76], Operations: [] Exploring Operation: 55+42=97, Resulting Numbers: [74, 76, 97] Generated Node #2: [74, 76, 97] from Operation: 55+42=97 Current State: 53:[74, 76, 97], Operations: ['55+42=97'] Exploring Operation: 74+76=150, Resulting Numbers: [97, 150] Generated Node #3: [97, 150] from Operation: 74+76=150 Current State: 53:[97, 150], Operations: ['55+42=97', '74+76=150'] Exploring Operation: 150-97=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 88, 77, 53, 31 ]
11
[ "88-77=11", "53-31=22", "22-11=11" ]
Current State: 11:[88, 77, 53, 31], Operations: [] Exploring Operation: 88-77=11, Resulting Numbers: [53, 31, 11] Generated Node #2: [53, 31, 11] from Operation: 88-77=11 Current State: 11:[53, 31, 11], Operations: ['88-77=11'] Exploring Operation: 53-31=22, Resulting Numbers: [11, 22] Generated Node #3: [11, 22] from Operation: 53-31=22 Current State: 11:[11, 22], Operations: ['88-77=11', '53-31=22'] Exploring Operation: 22-11=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 18, 84, 63, 91 ]
74
[ "18+84=102", "91-63=28", "102-28=74" ]
Current State: 74:[18, 84, 63, 91], Operations: [] Exploring Operation: 18+84=102, Resulting Numbers: [63, 91, 102] Generated Node #2: [63, 91, 102] from Operation: 18+84=102 Current State: 74:[63, 91, 102], Operations: ['18+84=102'] Exploring Operation: 91-63=28, Resulting Numbers: [102, 28] Generated Node #3: [102, 28] from Operation: 91-63=28 Current State: 74:[102, 28], Operations: ['18+84=102', '91-63=28'] Exploring Operation: 102-28=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 47, 50, 17, 15 ]
95
[ "47+50=97", "17-15=2", "97-2=95" ]
Current State: 95:[47, 50, 17, 15], Operations: [] Exploring Operation: 47+50=97, Resulting Numbers: [17, 15, 97] Generated Node #2: [17, 15, 97] from Operation: 47+50=97 Current State: 95:[17, 15, 97], Operations: ['47+50=97'] Exploring Operation: 17-15=2, Resulting Numbers: [97, 2] Generated Node #3: [97, 2] from Operation: 17-15=2 Current State: 95:[97, 2], Operations: ['47+50=97', '17-15=2'] Exploring Operation: 97-2=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 19, 99, 42, 68 ]
92
[ "19+99=118", "68-42=26", "118-26=92" ]
Current State: 92:[19, 99, 42, 68], Operations: [] Exploring Operation: 19+99=118, Resulting Numbers: [42, 68, 118] Generated Node #2: [42, 68, 118] from Operation: 19+99=118 Current State: 92:[42, 68, 118], Operations: ['19+99=118'] Exploring Operation: 68-42=26, Resulting Numbers: [118, 26] Generated Node #3: [118, 26] from Operation: 68-42=26 Current State: 92:[118, 26], Operations: ['19+99=118', '68-42=26'] Exploring Operation: 118-26=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 67, 4, 27, 59 ]
49
[ "67-27=40", "40/4=10", "59-10=49" ]
Current State: 49:[67, 4, 27, 59], Operations: [] Exploring Operation: 67-27=40, Resulting Numbers: [4, 59, 40] Generated Node #2: [4, 59, 40] from Operation: 67-27=40 Current State: 49:[4, 59, 40], Operations: ['67-27=40'] Exploring Operation: 40/4=10, Resulting Numbers: [59, 10] Generated Node #3: [59, 10] from Operation: 40/4=10 Current State: 49:[59, 10], Operations: ['67-27=40', '40/4=10'] Exploring Operation: 59-10=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 13, 79, 16, 35 ]
82
[ "13+35=48", "48/16=3", "79+3=82" ]
Current State: 82:[13, 79, 16, 35], Operations: [] Exploring Operation: 13+35=48, Resulting Numbers: [79, 16, 48] Generated Node #2: [79, 16, 48] from Operation: 13+35=48 Current State: 82:[79, 16, 48], Operations: ['13+35=48'] Exploring Operation: 48/16=3, Resulting Numbers: [79, 3] Generated Node #3: [79, 3] from Operation: 48/16=3 Current State: 82:[79, 3], Operations: ['13+35=48', '48/16=3'] Exploring Operation: 79+3=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 66, 35, 21, 43 ]
70
[ "66-21=45", "45-43=2", "35*2=70" ]
Current State: 70:[66, 35, 21, 43], Operations: [] Exploring Operation: 66-21=45, Resulting Numbers: [35, 43, 45] Generated Node #2: [35, 43, 45] from Operation: 66-21=45 Current State: 70:[35, 43, 45], Operations: ['66-21=45'] Exploring Operation: 45-43=2, Resulting Numbers: [35, 2] Generated Node #3: [35, 2] from Operation: 45-43=2 Current State: 70:[35, 2], Operations: ['66-21=45', '45-43=2'] Exploring Operation: 35*2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 52, 26, 37, 38 ]
27
[ "52-26=26", "38-37=1", "26+1=27" ]
Current State: 27:[52, 26, 37, 38], Operations: [] Exploring Operation: 52-26=26, Resulting Numbers: [37, 38, 26] Generated Node #2: [37, 38, 26] from Operation: 52-26=26 Current State: 27:[37, 38, 26], Operations: ['52-26=26'] Exploring Operation: 38-37=1, Resulting Numbers: [26, 1] Generated Node #3: [26, 1] from Operation: 38-37=1 Current State: 27:[26, 1], Operations: ['52-26=26', '38-37=1'] Exploring Operation: 26+1=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 87, 22, 27, 83 ]
45
[ "87-22=65", "27+83=110", "110-65=45" ]
Current State: 45:[87, 22, 27, 83], Operations: [] Exploring Operation: 87-22=65, Resulting Numbers: [27, 83, 65] Generated Node #2: [27, 83, 65] from Operation: 87-22=65 Current State: 45:[27, 83, 65], Operations: ['87-22=65'] Exploring Operation: 27+83=110, Resulting Numbers: [65, 110] Generated Node #3: [65, 110] from Operation: 27+83=110 Current State: 45:[65, 110], Operations: ['87-22=65', '27+83=110'] Exploring Operation: 110-65=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 73, 57, 47, 18 ]
94
[ "73-57=16", "18-16=2", "47*2=94" ]
Current State: 94:[73, 57, 47, 18], Operations: [] Exploring Operation: 73-57=16, Resulting Numbers: [47, 18, 16] Generated Node #2: [47, 18, 16] from Operation: 73-57=16 Current State: 94:[47, 18, 16], Operations: ['73-57=16'] Exploring Operation: 18-16=2, Resulting Numbers: [47, 2] Generated Node #3: [47, 2] from Operation: 18-16=2 Current State: 94:[47, 2], Operations: ['73-57=16', '18-16=2'] Exploring Operation: 47*2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 15, 33, 62, 75 ]
34
[ "75/15=5", "62-33=29", "5+29=34" ]
Current State: 34:[15, 33, 62, 75], Operations: [] Exploring Operation: 75/15=5, Resulting Numbers: [33, 62, 5] Generated Node #2: [33, 62, 5] from Operation: 75/15=5 Current State: 34:[33, 62, 5], Operations: ['75/15=5'] Exploring Operation: 62-33=29, Resulting Numbers: [5, 29] Generated Node #3: [5, 29] from Operation: 62-33=29 Current State: 34:[5, 29], Operations: ['75/15=5', '62-33=29'] Exploring Operation: 5+29=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 13, 14, 3, 29 ]
88
[ "14-13=1", "3*29=87", "1+87=88" ]
Current State: 88:[13, 14, 3, 29], Operations: [] Exploring Operation: 14-13=1, Resulting Numbers: [3, 29, 1] Generated Node #2: [3, 29, 1] from Operation: 14-13=1 Current State: 88:[3, 29, 1], Operations: ['14-13=1'] Exploring Operation: 3*29=87, Resulting Numbers: [1, 87] Generated Node #3: [1, 87] from Operation: 3*29=87 Current State: 88:[1, 87], Operations: ['14-13=1', '3*29=87'] Exploring Operation: 1+87=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 15, 63, 85, 78 ]
85
[ "15+63=78", "85+78=163", "163-78=85" ]
Current State: 85:[15, 63, 85, 78], Operations: [] Exploring Operation: 15+63=78, Resulting Numbers: [85, 78, 78] Generated Node #2: [85, 78, 78] from Operation: 15+63=78 Current State: 85:[85, 78, 78], Operations: ['15+63=78'] Exploring Operation: 85+78=163, Resulting Numbers: [163] 163,85 equal: Goal Reached Exploring Operation: 163-78=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 25, 97, 15, 32 ]
75
[ "25+97=122", "15+32=47", "122-47=75" ]
Current State: 75:[25, 97, 15, 32], Operations: [] Exploring Operation: 25+97=122, Resulting Numbers: [15, 32, 122] Generated Node #2: [15, 32, 122] from Operation: 25+97=122 Current State: 75:[15, 32, 122], Operations: ['25+97=122'] Exploring Operation: 15+32=47, Resulting Numbers: [122, 47] Generated Node #3: [122, 47] from Operation: 15+32=47 Current State: 75:[122, 47], Operations: ['25+97=122', '15+32=47'] Exploring Operation: 122-47=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 65, 98, 47, 9 ]
100
[ "65-47=18", "18/9=2", "98+2=100" ]
Current State: 100:[65, 98, 47, 9], Operations: [] Exploring Operation: 65-47=18, Resulting Numbers: [98, 9, 18] Generated Node #2: [98, 9, 18] from Operation: 65-47=18 Current State: 100:[98, 9, 18], Operations: ['65-47=18'] Exploring Operation: 18/9=2, Resulting Numbers: [98, 2] Generated Node #3: [98, 2] from Operation: 18/9=2 Current State: 100:[98, 2], Operations: ['65-47=18', '18/9=2'] Exploring Operation: 98+2=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 31, 86, 4, 7 ]
52
[ "86-31=55", "7-4=3", "55-3=52" ]
Current State: 52:[31, 86, 4, 7], Operations: [] Exploring Operation: 86-31=55, Resulting Numbers: [4, 7, 55] Generated Node #2: [4, 7, 55] from Operation: 86-31=55 Current State: 52:[4, 7, 55], Operations: ['86-31=55'] Exploring Operation: 7-4=3, Resulting Numbers: [55, 3] Generated Node #3: [55, 3] from Operation: 7-4=3 Current State: 52:[55, 3], Operations: ['86-31=55', '7-4=3'] Exploring Operation: 55-3=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 1, 74, 67, 55 ]
86
[ "1*74=74", "67-55=12", "74+12=86" ]
Current State: 86:[1, 74, 67, 55], Operations: [] Exploring Operation: 1*74=74, Resulting Numbers: [67, 55, 74] Generated Node #2: [67, 55, 74] from Operation: 1*74=74 Current State: 86:[67, 55, 74], Operations: ['1*74=74'] Exploring Operation: 67-55=12, Resulting Numbers: [74, 12] Generated Node #3: [74, 12] from Operation: 67-55=12 Current State: 86:[74, 12], Operations: ['1*74=74', '67-55=12'] Exploring Operation: 74+12=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 44, 88, 99, 81 ]
20
[ "88/44=2", "99-81=18", "2+18=20" ]
Current State: 20:[44, 88, 99, 81], Operations: [] Exploring Operation: 88/44=2, Resulting Numbers: [99, 81, 2] Generated Node #2: [99, 81, 2] from Operation: 88/44=2 Current State: 20:[99, 81, 2], Operations: ['88/44=2'] Exploring Operation: 99-81=18, Resulting Numbers: [2, 18] Generated Node #3: [2, 18] from Operation: 99-81=18 Current State: 20:[2, 18], Operations: ['88/44=2', '99-81=18'] Exploring Operation: 2+18=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 87, 46, 83, 86 ]
58
[ "87*86=7482", "46+83=129", "7482/129=58" ]
Current State: 58:[87, 46, 83, 86], Operations: [] Exploring Operation: 87*86=7482, Resulting Numbers: [46, 83, 7482] Generated Node #2: [46, 83, 7482] from Operation: 87*86=7482 Current State: 58:[46, 83, 7482], Operations: ['87*86=7482'] Exploring Operation: 46+83=129, Resulting Numbers: [7482, 129] Generated Node #3: [7482, 129] from Operation: 46+83=129 Current State: 58:[7482, 129], Operations: ['87*86=7482', '46+83=129'] Exploring Operation: 7482/129=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 13, 94, 27, 70 ]
89
[ "27-13=14", "70/14=5", "94-5=89" ]
Current State: 89:[13, 94, 27, 70], Operations: [] Exploring Operation: 27-13=14, Resulting Numbers: [94, 70, 14] Generated Node #2: [94, 70, 14] from Operation: 27-13=14 Current State: 89:[94, 70, 14], Operations: ['27-13=14'] Exploring Operation: 70/14=5, Resulting Numbers: [94, 5] Generated Node #3: [94, 5] from Operation: 70/14=5 Current State: 89:[94, 5], Operations: ['27-13=14', '70/14=5'] Exploring Operation: 94-5=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 5, 16, 7, 10 ]
95
[ "16-7=9", "10+9=19", "5*19=95" ]
Current State: 95:[5, 16, 7, 10], Operations: [] Exploring Operation: 16-7=9, Resulting Numbers: [5, 10, 9] Generated Node #2: [5, 10, 9] from Operation: 16-7=9 Current State: 95:[5, 10, 9], Operations: ['16-7=9'] Exploring Operation: 10+9=19, Resulting Numbers: [5, 19] Generated Node #3: [5, 19] from Operation: 10+9=19 Current State: 95:[5, 19], Operations: ['16-7=9', '10+9=19'] Exploring Operation: 5*19=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 6, 3, 32, 91 ]
41
[ "6*3=18", "91-32=59", "59-18=41" ]
Current State: 41:[6, 3, 32, 91], Operations: [] Exploring Operation: 6*3=18, Resulting Numbers: [32, 91, 18] Generated Node #2: [32, 91, 18] from Operation: 6*3=18 Current State: 41:[32, 91, 18], Operations: ['6*3=18'] Exploring Operation: 91-32=59, Resulting Numbers: [18, 59] Generated Node #3: [18, 59] from Operation: 91-32=59 Current State: 41:[18, 59], Operations: ['6*3=18', '91-32=59'] Exploring Operation: 59-18=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 62, 44, 66, 64 ]
27
[ "66-62=4", "44+64=108", "108/4=27" ]
Current State: 27:[62, 44, 66, 64], Operations: [] Exploring Operation: 66-62=4, Resulting Numbers: [44, 64, 4] Generated Node #2: [44, 64, 4] from Operation: 66-62=4 Current State: 27:[44, 64, 4], Operations: ['66-62=4'] Exploring Operation: 44+64=108, Resulting Numbers: [4, 108] Generated Node #3: [4, 108] from Operation: 44+64=108 Current State: 27:[4, 108], Operations: ['66-62=4', '44+64=108'] Exploring Operation: 108/4=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 6, 14, 21, 59 ]
88
[ "14-6=8", "21+59=80", "8+80=88" ]
Current State: 88:[6, 14, 21, 59], Operations: [] Exploring Operation: 14-6=8, Resulting Numbers: [21, 59, 8] Generated Node #2: [21, 59, 8] from Operation: 14-6=8 Current State: 88:[21, 59, 8], Operations: ['14-6=8'] Exploring Operation: 21+59=80, Resulting Numbers: [8, 80] Generated Node #3: [8, 80] from Operation: 21+59=80 Current State: 88:[8, 80], Operations: ['14-6=8', '21+59=80'] Exploring Operation: 8+80=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 39, 42, 47, 9 ]
25
[ "39+42=81", "47+9=56", "81-56=25" ]
Current State: 25:[39, 42, 47, 9], Operations: [] Exploring Operation: 39+42=81, Resulting Numbers: [47, 9, 81] Generated Node #2: [47, 9, 81] from Operation: 39+42=81 Current State: 25:[47, 9, 81], Operations: ['39+42=81'] Exploring Operation: 47+9=56, Resulting Numbers: [81, 56] Generated Node #3: [81, 56] from Operation: 47+9=56 Current State: 25:[81, 56], Operations: ['39+42=81', '47+9=56'] Exploring Operation: 81-56=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 38, 33, 66, 21 ]
44
[ "66-38=28", "33*28=924", "924/21=44" ]
Current State: 44:[38, 33, 66, 21], Operations: [] Exploring Operation: 66-38=28, Resulting Numbers: [33, 21, 28] Generated Node #2: [33, 21, 28] from Operation: 66-38=28 Current State: 44:[33, 21, 28], Operations: ['66-38=28'] Exploring Operation: 33*28=924, Resulting Numbers: [21, 924] Generated Node #3: [21, 924] from Operation: 33*28=924 Current State: 44:[21, 924], Operations: ['66-38=28', '33*28=924'] Exploring Operation: 924/21=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 26, 90, 32, 30 ]
82
[ "30-26=4", "32/4=8", "90-8=82" ]
Current State: 82:[26, 90, 32, 30], Operations: [] Exploring Operation: 30-26=4, Resulting Numbers: [90, 32, 4] Generated Node #2: [90, 32, 4] from Operation: 30-26=4 Current State: 82:[90, 32, 4], Operations: ['30-26=4'] Exploring Operation: 32/4=8, Resulting Numbers: [90, 8] Generated Node #3: [90, 8] from Operation: 32/4=8 Current State: 82:[90, 8], Operations: ['30-26=4', '32/4=8'] Exploring Operation: 90-8=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 29, 2, 9, 40 ]
18
[ "29+2=31", "9+40=49", "49-31=18" ]
Current State: 18:[29, 2, 9, 40], Operations: [] Exploring Operation: 29+2=31, Resulting Numbers: [9, 40, 31] Generated Node #2: [9, 40, 31] from Operation: 29+2=31 Current State: 18:[9, 40, 31], Operations: ['29+2=31'] Exploring Operation: 9+40=49, Resulting Numbers: [31, 49] Generated Node #3: [31, 49] from Operation: 9+40=49 Current State: 18:[31, 49], Operations: ['29+2=31', '9+40=49'] Exploring Operation: 49-31=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 96, 56, 2, 30 ]
20
[ "96-56=40", "2*30=60", "60-40=20" ]
Current State: 20:[96, 56, 2, 30], Operations: [] Exploring Operation: 96-56=40, Resulting Numbers: [2, 30, 40] Generated Node #2: [2, 30, 40] from Operation: 96-56=40 Current State: 20:[2, 30, 40], Operations: ['96-56=40'] Exploring Operation: 2*30=60, Resulting Numbers: [40, 60] Generated Node #3: [40, 60] from Operation: 2*30=60 Current State: 20:[40, 60], Operations: ['96-56=40', '2*30=60'] Exploring Operation: 60-40=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 35, 55, 54, 26 ]
44
[ "54-26=28", "55*28=1540", "1540/35=44" ]
Current State: 44:[35, 55, 54, 26], Operations: [] Exploring Operation: 54-26=28, Resulting Numbers: [35, 55, 28] Generated Node #2: [35, 55, 28] from Operation: 54-26=28 Current State: 44:[35, 55, 28], Operations: ['54-26=28'] Exploring Operation: 55*28=1540, Resulting Numbers: [35, 1540] Generated Node #3: [35, 1540] from Operation: 55*28=1540 Current State: 44:[35, 1540], Operations: ['54-26=28', '55*28=1540'] Exploring Operation: 1540/35=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 5, 17, 67, 44 ]
35
[ "17-5=12", "67-44=23", "12+23=35" ]
Current State: 35:[5, 17, 67, 44], Operations: [] Exploring Operation: 17-5=12, Resulting Numbers: [67, 44, 12] Generated Node #2: [67, 44, 12] from Operation: 17-5=12 Current State: 35:[67, 44, 12], Operations: ['17-5=12'] Exploring Operation: 67-44=23, Resulting Numbers: [12, 23] Generated Node #3: [12, 23] from Operation: 67-44=23 Current State: 35:[12, 23], Operations: ['17-5=12', '67-44=23'] Exploring Operation: 12+23=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 75, 73, 32, 46 ]
76
[ "75-73=2", "32+46=78", "78-2=76" ]
Current State: 76:[75, 73, 32, 46], Operations: [] Exploring Operation: 75-73=2, Resulting Numbers: [32, 46, 2] Generated Node #2: [32, 46, 2] from Operation: 75-73=2 Current State: 76:[32, 46, 2], Operations: ['75-73=2'] Exploring Operation: 32+46=78, Resulting Numbers: [2, 78] Generated Node #3: [2, 78] from Operation: 32+46=78 Current State: 76:[2, 78], Operations: ['75-73=2', '32+46=78'] Exploring Operation: 78-2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 17, 87, 56, 56 ]
87
[ "56-56=0", "17*0=0", "87+0=87" ]
Current State: 87:[17, 87, 56, 56], Operations: [] Exploring Operation: 56-56=0, Resulting Numbers: [17, 87, 0] Generated Node #2: [17, 87, 0] from Operation: 56-56=0 Current State: 87:[17, 87, 0], Operations: ['56-56=0'] Exploring Operation: 17*0=0, Resulting Numbers: [87, 0] Generated Node #3: [87, 0] from Operation: 17*0=0 Current State: 87:[87, 0], Operations: ['56-56=0', '17*0=0'] Exploring Operation: 87+0=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 60, 7, 30, 14 ]
97
[ "60-7=53", "30+14=44", "53+44=97" ]
Current State: 97:[60, 7, 30, 14], Operations: [] Exploring Operation: 60-7=53, Resulting Numbers: [30, 14, 53] Generated Node #2: [30, 14, 53] from Operation: 60-7=53 Current State: 97:[30, 14, 53], Operations: ['60-7=53'] Exploring Operation: 30+14=44, Resulting Numbers: [53, 44] Generated Node #3: [53, 44] from Operation: 30+14=44 Current State: 97:[53, 44], Operations: ['60-7=53', '30+14=44'] Exploring Operation: 53+44=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 2, 37, 3, 31 ]
49
[ "2*31=62", "37*3=111", "111-62=49" ]
Current State: 49:[2, 37, 3, 31], Operations: [] Exploring Operation: 2*31=62, Resulting Numbers: [37, 3, 62] Generated Node #2: [37, 3, 62] from Operation: 2*31=62 Current State: 49:[37, 3, 62], Operations: ['2*31=62'] Exploring Operation: 37*3=111, Resulting Numbers: [62, 111] Generated Node #3: [62, 111] from Operation: 37*3=111 Current State: 49:[62, 111], Operations: ['2*31=62', '37*3=111'] Exploring Operation: 111-62=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 7, 46, 33, 54 ]
18
[ "46-7=39", "54-33=21", "39-21=18" ]
Current State: 18:[7, 46, 33, 54], Operations: [] Exploring Operation: 46-7=39, Resulting Numbers: [33, 54, 39] Generated Node #2: [33, 54, 39] from Operation: 46-7=39 Current State: 18:[33, 54, 39], Operations: ['46-7=39'] Exploring Operation: 54-33=21, Resulting Numbers: [39, 21] Generated Node #3: [39, 21] from Operation: 54-33=21 Current State: 18:[39, 21], Operations: ['46-7=39', '54-33=21'] Exploring Operation: 39-21=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 68, 62, 75, 83 ]
14
[ "68-62=6", "83-75=8", "6+8=14" ]
Current State: 14:[68, 62, 75, 83], Operations: [] Exploring Operation: 68-62=6, Resulting Numbers: [75, 83, 6] Generated Node #2: [75, 83, 6] from Operation: 68-62=6 Current State: 14:[75, 83, 6], Operations: ['68-62=6'] Exploring Operation: 83-75=8, Resulting Numbers: [6, 8] Generated Node #3: [6, 8] from Operation: 83-75=8 Current State: 14:[6, 8], Operations: ['68-62=6', '83-75=8'] Exploring Operation: 6+8=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 92, 12, 90, 29 ]
53
[ "92-90=2", "12*2=24", "29+24=53" ]
Current State: 53:[92, 12, 90, 29], Operations: [] Exploring Operation: 92-90=2, Resulting Numbers: [12, 29, 2] Generated Node #2: [12, 29, 2] from Operation: 92-90=2 Current State: 53:[12, 29, 2], Operations: ['92-90=2'] Exploring Operation: 12*2=24, Resulting Numbers: [29, 24] Generated Node #3: [29, 24] from Operation: 12*2=24 Current State: 53:[29, 24], Operations: ['92-90=2', '12*2=24'] Exploring Operation: 29+24=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 25, 74, 44, 11 ]
55
[ "74-25=49", "49-44=5", "11*5=55" ]
Current State: 55:[25, 74, 44, 11], Operations: [] Exploring Operation: 74-25=49, Resulting Numbers: [44, 11, 49] Generated Node #2: [44, 11, 49] from Operation: 74-25=49 Current State: 55:[44, 11, 49], Operations: ['74-25=49'] Exploring Operation: 49-44=5, Resulting Numbers: [11, 5] Generated Node #3: [11, 5] from Operation: 49-44=5 Current State: 55:[11, 5], Operations: ['74-25=49', '49-44=5'] Exploring Operation: 11*5=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 8, 81, 81, 21 ]
21
[ "81-81=0", "8*0=0", "21+0=21" ]
Current State: 21:[8, 81, 81, 21], Operations: [] Exploring Operation: 81-81=0, Resulting Numbers: [8, 21, 0] Generated Node #2: [8, 21, 0] from Operation: 81-81=0 Current State: 21:[8, 21, 0], Operations: ['81-81=0'] Exploring Operation: 8*0=0, Resulting Numbers: [21, 0] Generated Node #3: [21, 0] from Operation: 8*0=0 Current State: 21:[21, 0], Operations: ['81-81=0', '8*0=0'] Exploring Operation: 21+0=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 71, 75, 71, 13 ]
87
[ "71/71=1", "75+13=88", "88-1=87" ]
Current State: 87:[71, 75, 71, 13], Operations: [] Exploring Operation: 71/71=1, Resulting Numbers: [75, 13, 1] Generated Node #2: [75, 13, 1] from Operation: 71/71=1 Current State: 87:[75, 13, 1], Operations: ['71/71=1'] Exploring Operation: 75+13=88, Resulting Numbers: [1, 88] Generated Node #3: [1, 88] from Operation: 75+13=88 Current State: 87:[1, 88], Operations: ['71/71=1', '75+13=88'] Exploring Operation: 88-1=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 6, 80, 67, 65 ]
11
[ "80-67=13", "65/13=5", "6+5=11" ]
Current State: 11:[6, 80, 67, 65], Operations: [] Exploring Operation: 80-67=13, Resulting Numbers: [6, 65, 13] Generated Node #2: [6, 65, 13] from Operation: 80-67=13 Current State: 11:[6, 65, 13], Operations: ['80-67=13'] Exploring Operation: 65/13=5, Resulting Numbers: [6, 5] Generated Node #3: [6, 5] from Operation: 65/13=5 Current State: 11:[6, 5], Operations: ['80-67=13', '65/13=5'] Exploring Operation: 6+5=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 46, 13, 2, 32 ]
67
[ "46-13=33", "2+32=34", "33+34=67" ]
Current State: 67:[46, 13, 2, 32], Operations: [] Exploring Operation: 46-13=33, Resulting Numbers: [2, 32, 33] Generated Node #2: [2, 32, 33] from Operation: 46-13=33 Current State: 67:[2, 32, 33], Operations: ['46-13=33'] Exploring Operation: 2+32=34, Resulting Numbers: [33, 34] Generated Node #3: [33, 34] from Operation: 2+32=34 Current State: 67:[33, 34], Operations: ['46-13=33', '2+32=34'] Exploring Operation: 33+34=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 45, 92, 50, 72 ]
69
[ "92-45=47", "72-50=22", "47+22=69" ]
Current State: 69:[45, 92, 50, 72], Operations: [] Exploring Operation: 92-45=47, Resulting Numbers: [50, 72, 47] Generated Node #2: [50, 72, 47] from Operation: 92-45=47 Current State: 69:[50, 72, 47], Operations: ['92-45=47'] Exploring Operation: 72-50=22, Resulting Numbers: [47, 22] Generated Node #3: [47, 22] from Operation: 72-50=22 Current State: 69:[47, 22], Operations: ['92-45=47', '72-50=22'] Exploring Operation: 47+22=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 70, 93, 64, 60 ]
83
[ "70-64=6", "60/6=10", "93-10=83" ]
Current State: 83:[70, 93, 64, 60], Operations: [] Exploring Operation: 70-64=6, Resulting Numbers: [93, 60, 6] Generated Node #2: [93, 60, 6] from Operation: 70-64=6 Current State: 83:[93, 60, 6], Operations: ['70-64=6'] Exploring Operation: 60/6=10, Resulting Numbers: [93, 10] Generated Node #3: [93, 10] from Operation: 60/6=10 Current State: 83:[93, 10], Operations: ['70-64=6', '60/6=10'] Exploring Operation: 93-10=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 83, 27, 12, 24 ]
20
[ "83-27=56", "12+24=36", "56-36=20" ]
Current State: 20:[83, 27, 12, 24], Operations: [] Exploring Operation: 83-27=56, Resulting Numbers: [12, 24, 56] Generated Node #2: [12, 24, 56] from Operation: 83-27=56 Current State: 20:[12, 24, 56], Operations: ['83-27=56'] Exploring Operation: 12+24=36, Resulting Numbers: [56, 36] Generated Node #3: [56, 36] from Operation: 12+24=36 Current State: 20:[56, 36], Operations: ['83-27=56', '12+24=36'] Exploring Operation: 56-36=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 58, 40, 50, 6 ]
20
[ "58-50=8", "8-6=2", "40/2=20" ]
Current State: 20:[58, 40, 50, 6], Operations: [] Exploring Operation: 58-50=8, Resulting Numbers: [40, 6, 8] Generated Node #2: [40, 6, 8] from Operation: 58-50=8 Current State: 20:[40, 6, 8], Operations: ['58-50=8'] Exploring Operation: 8-6=2, Resulting Numbers: [40, 2] Generated Node #3: [40, 2] from Operation: 8-6=2 Current State: 20:[40, 2], Operations: ['58-50=8', '8-6=2'] Exploring Operation: 40/2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 93, 76, 81, 15 ]
90
[ "81-76=5", "15/5=3", "93-3=90" ]
Current State: 90:[93, 76, 81, 15], Operations: [] Exploring Operation: 81-76=5, Resulting Numbers: [93, 15, 5] Generated Node #2: [93, 15, 5] from Operation: 81-76=5 Current State: 90:[93, 15, 5], Operations: ['81-76=5'] Exploring Operation: 15/5=3, Resulting Numbers: [93, 3] Generated Node #3: [93, 3] from Operation: 15/5=3 Current State: 90:[93, 3], Operations: ['81-76=5', '15/5=3'] Exploring Operation: 93-3=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 22, 90, 42, 89 ]
21
[ "90-22=68", "89-42=47", "68-47=21" ]
Current State: 21:[22, 90, 42, 89], Operations: [] Exploring Operation: 90-22=68, Resulting Numbers: [42, 89, 68] Generated Node #2: [42, 89, 68] from Operation: 90-22=68 Current State: 21:[42, 89, 68], Operations: ['90-22=68'] Exploring Operation: 89-42=47, Resulting Numbers: [68, 47] Generated Node #3: [68, 47] from Operation: 89-42=47 Current State: 21:[68, 47], Operations: ['90-22=68', '89-42=47'] Exploring Operation: 68-47=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 64, 35, 11, 8 ]
53
[ "64*11=704", "704/8=88", "88-35=53" ]
Current State: 53:[64, 35, 11, 8], Operations: [] Exploring Operation: 64*11=704, Resulting Numbers: [35, 8, 704] Generated Node #2: [35, 8, 704] from Operation: 64*11=704 Current State: 53:[35, 8, 704], Operations: ['64*11=704'] Exploring Operation: 704/8=88, Resulting Numbers: [35, 88] Generated Node #3: [35, 88] from Operation: 704/8=88 Current State: 53:[35, 88], Operations: ['64*11=704', '704/8=88'] Exploring Operation: 88-35=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 76, 2, 5, 36 ]
16
[ "76+36=112", "2+5=7", "112/7=16" ]
Current State: 16:[76, 2, 5, 36], Operations: [] Exploring Operation: 76+36=112, Resulting Numbers: [2, 5, 112] Generated Node #2: [2, 5, 112] from Operation: 76+36=112 Current State: 16:[2, 5, 112], Operations: ['76+36=112'] Exploring Operation: 2+5=7, Resulting Numbers: [112, 7] Generated Node #3: [112, 7] from Operation: 2+5=7 Current State: 16:[112, 7], Operations: ['76+36=112', '2+5=7'] Exploring Operation: 112/7=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 76, 30, 8, 61 ]
90
[ "76-61=15", "8*15=120", "120-30=90" ]
Current State: 90:[76, 30, 8, 61], Operations: [] Exploring Operation: 76-61=15, Resulting Numbers: [30, 8, 15] Generated Node #2: [30, 8, 15] from Operation: 76-61=15 Current State: 90:[30, 8, 15], Operations: ['76-61=15'] Exploring Operation: 8*15=120, Resulting Numbers: [30, 120] Generated Node #3: [30, 120] from Operation: 8*15=120 Current State: 90:[30, 120], Operations: ['76-61=15', '8*15=120'] Exploring Operation: 120-30=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 69, 25, 70, 45 ]
21
[ "69+25=94", "70+45=115", "115-94=21" ]
Current State: 21:[69, 25, 70, 45], Operations: [] Exploring Operation: 69+25=94, Resulting Numbers: [70, 45, 94] Generated Node #2: [70, 45, 94] from Operation: 69+25=94 Current State: 21:[70, 45, 94], Operations: ['69+25=94'] Exploring Operation: 70+45=115, Resulting Numbers: [94, 115] Generated Node #3: [94, 115] from Operation: 70+45=115 Current State: 21:[94, 115], Operations: ['69+25=94', '70+45=115'] Exploring Operation: 115-94=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 52, 4, 55, 85 ]
88
[ "52+55=107", "107-85=22", "4*22=88" ]
Current State: 88:[52, 4, 55, 85], Operations: [] Exploring Operation: 52+55=107, Resulting Numbers: [4, 85, 107] Generated Node #2: [4, 85, 107] from Operation: 52+55=107 Current State: 88:[4, 85, 107], Operations: ['52+55=107'] Exploring Operation: 107-85=22, Resulting Numbers: [4, 22] Generated Node #3: [4, 22] from Operation: 107-85=22 Current State: 88:[4, 22], Operations: ['52+55=107', '107-85=22'] Exploring Operation: 4*22=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 69, 51, 97, 1 ]
22
[ "69+51=120", "97+1=98", "120-98=22" ]
Current State: 22:[69, 51, 97, 1], Operations: [] Exploring Operation: 69+51=120, Resulting Numbers: [97, 1, 120] Generated Node #2: [97, 1, 120] from Operation: 69+51=120 Current State: 22:[97, 1, 120], Operations: ['69+51=120'] Exploring Operation: 97+1=98, Resulting Numbers: [120, 98] Generated Node #3: [120, 98] from Operation: 97+1=98 Current State: 22:[120, 98], Operations: ['69+51=120', '97+1=98'] Exploring Operation: 120-98=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 44, 38, 49, 58 ]
54
[ "44-38=6", "58-49=9", "6*9=54" ]
Current State: 54:[44, 38, 49, 58], Operations: [] Exploring Operation: 44-38=6, Resulting Numbers: [49, 58, 6] Generated Node #2: [49, 58, 6] from Operation: 44-38=6 Current State: 54:[49, 58, 6], Operations: ['44-38=6'] Exploring Operation: 58-49=9, Resulting Numbers: [6, 9] Generated Node #3: [6, 9] from Operation: 58-49=9 Current State: 54:[6, 9], Operations: ['44-38=6', '58-49=9'] Exploring Operation: 6*9=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 10, 70, 26, 61 ]
27
[ "70-10=60", "26+61=87", "87-60=27" ]
Current State: 27:[10, 70, 26, 61], Operations: [] Exploring Operation: 70-10=60, Resulting Numbers: [26, 61, 60] Generated Node #2: [26, 61, 60] from Operation: 70-10=60 Current State: 27:[26, 61, 60], Operations: ['70-10=60'] Exploring Operation: 26+61=87, Resulting Numbers: [60, 87] Generated Node #3: [60, 87] from Operation: 26+61=87 Current State: 27:[60, 87], Operations: ['70-10=60', '26+61=87'] Exploring Operation: 87-60=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 98, 25, 21, 27 ]
28
[ "27-25=2", "98/2=49", "49-21=28" ]
Current State: 28:[98, 25, 21, 27], Operations: [] Exploring Operation: 27-25=2, Resulting Numbers: [98, 21, 2] Generated Node #2: [98, 21, 2] from Operation: 27-25=2 Current State: 28:[98, 21, 2], Operations: ['27-25=2'] Exploring Operation: 98/2=49, Resulting Numbers: [21, 49] Generated Node #3: [21, 49] from Operation: 98/2=49 Current State: 28:[21, 49], Operations: ['27-25=2', '98/2=49'] Exploring Operation: 49-21=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 12, 80, 50, 7 ]
49
[ "12+80=92", "50-7=43", "92-43=49" ]
Current State: 49:[12, 80, 50, 7], Operations: [] Exploring Operation: 12+80=92, Resulting Numbers: [50, 7, 92] Generated Node #2: [50, 7, 92] from Operation: 12+80=92 Current State: 49:[50, 7, 92], Operations: ['12+80=92'] Exploring Operation: 50-7=43, Resulting Numbers: [92, 43] Generated Node #3: [92, 43] from Operation: 50-7=43 Current State: 49:[92, 43], Operations: ['12+80=92', '50-7=43'] Exploring Operation: 92-43=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 30, 64, 65, 54 ]
84
[ "30+54=84", "65-64=1", "84*1=84" ]
Current State: 84:[30, 64, 65, 54], Operations: [] Exploring Operation: 30+54=84, Resulting Numbers: [64, 65, 84] Generated Node #2: [64, 65, 84] from Operation: 30+54=84 Current State: 84:[64, 65, 84], Operations: ['30+54=84'] Exploring Operation: 65-64=1, Resulting Numbers: [84, 1] Generated Node #3: [84, 1] from Operation: 65-64=1 Current State: 84:[84, 1], Operations: ['30+54=84', '65-64=1'] Exploring Operation: 84*1=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 14, 3, 44, 64 ]
91
[ "14+3=17", "44+64=108", "108-17=91" ]
Current State: 91:[14, 3, 44, 64], Operations: [] Exploring Operation: 14+3=17, Resulting Numbers: [44, 64, 17] Generated Node #2: [44, 64, 17] from Operation: 14+3=17 Current State: 91:[44, 64, 17], Operations: ['14+3=17'] Exploring Operation: 44+64=108, Resulting Numbers: [17, 108] Generated Node #3: [17, 108] from Operation: 44+64=108 Current State: 91:[17, 108], Operations: ['14+3=17', '44+64=108'] Exploring Operation: 108-17=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 60, 68, 57, 2 ]
51
[ "68-60=8", "57+2=59", "59-8=51" ]
Current State: 51:[60, 68, 57, 2], Operations: [] Exploring Operation: 68-60=8, Resulting Numbers: [57, 2, 8] Generated Node #2: [57, 2, 8] from Operation: 68-60=8 Current State: 51:[57, 2, 8], Operations: ['68-60=8'] Exploring Operation: 57+2=59, Resulting Numbers: [8, 59] Generated Node #3: [8, 59] from Operation: 57+2=59 Current State: 51:[8, 59], Operations: ['68-60=8', '57+2=59'] Exploring Operation: 59-8=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4