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
[ 46, 43, 75, 71 ]
41
[ "46*71=3266", "43*75=3225", "3266-3225=41" ]
Current State: 41:[46, 43, 75, 71], Operations: [] Exploring Operation: 46*71=3266, Resulting Numbers: [43, 75, 3266] Generated Node #2: [43, 75, 3266] from Operation: 46*71=3266 Current State: 41:[43, 75, 3266], Operations: ['46*71=3266'] Exploring Operation: 43*75=3225, Resulting Numbers: [3266, 3225] Generated Node #3: [3266, 3225] from Operation: 43*75=3225 Current State: 41:[3266, 3225], Operations: ['46*71=3266', '43*75=3225'] Exploring Operation: 3266-3225=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 63, 91, 78, 42 ]
18
[ "63-42=21", "78*21=1638", "1638/91=18" ]
Current State: 18:[63, 91, 78, 42], Operations: [] Exploring Operation: 63-42=21, Resulting Numbers: [91, 78, 21] Generated Node #2: [91, 78, 21] from Operation: 63-42=21 Current State: 18:[91, 78, 21], Operations: ['63-42=21'] Exploring Operation: 78*21=1638, Resulting Numbers: [91, 1638] Generated Node #3: [91, 1638] from Operation: 78*21=1638 Current State: 18:[91, 1638], Operations: ['63-42=21', '78*21=1638'] Exploring Operation: 1638/91=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 8, 71, 15, 87 ]
39
[ "71-8=63", "15+87=102", "102-63=39" ]
Current State: 39:[8, 71, 15, 87], Operations: [] Exploring Operation: 71-8=63, Resulting Numbers: [15, 87, 63] Generated Node #2: [15, 87, 63] from Operation: 71-8=63 Current State: 39:[15, 87, 63], Operations: ['71-8=63'] Exploring Operation: 15+87=102, Resulting Numbers: [63, 102] Generated Node #3: [63, 102] from Operation: 15+87=102 Current State: 39:[63, 102], Operations: ['71-8=63', '15+87=102'] Exploring Operation: 102-63=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 8, 73, 93, 78 ]
47
[ "93-78=15", "8*15=120", "120-73=47" ]
Current State: 47:[8, 73, 93, 78], Operations: [] Exploring Operation: 93-78=15, Resulting Numbers: [8, 73, 15] Generated Node #2: [8, 73, 15] from Operation: 93-78=15 Current State: 47:[8, 73, 15], Operations: ['93-78=15'] Exploring Operation: 8*15=120, Resulting Numbers: [73, 120] Generated Node #3: [73, 120] from Operation: 8*15=120 Current State: 47:[73, 120], Operations: ['93-78=15', '8*15=120'] Exploring Operation: 120-73=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 65, 36, 93, 41 ]
80
[ "41-36=5", "65/5=13", "93-13=80" ]
Current State: 80:[65, 36, 93, 41], Operations: [] Exploring Operation: 41-36=5, Resulting Numbers: [65, 93, 5] Generated Node #2: [65, 93, 5] from Operation: 41-36=5 Current State: 80:[65, 93, 5], Operations: ['41-36=5'] Exploring Operation: 65/5=13, Resulting Numbers: [93, 13] Generated Node #3: [93, 13] from Operation: 65/5=13 Current State: 80:[93, 13], Operations: ['41-36=5', '65/5=13'] Exploring Operation: 93-13=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 67, 24, 57, 1 ]
33
[ "67+24=91", "57+1=58", "91-58=33" ]
Current State: 33:[67, 24, 57, 1], Operations: [] Exploring Operation: 67+24=91, Resulting Numbers: [57, 1, 91] Generated Node #2: [57, 1, 91] from Operation: 67+24=91 Current State: 33:[57, 1, 91], Operations: ['67+24=91'] Exploring Operation: 57+1=58, Resulting Numbers: [91, 58] Generated Node #3: [91, 58] from Operation: 57+1=58 Current State: 33:[91, 58], Operations: ['67+24=91', '57+1=58'] Exploring Operation: 91-58=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 92, 43, 35, 29 ]
33
[ "43*29=1247", "1247-92=1155", "1155/35=33" ]
Current State: 33:[92, 43, 35, 29], Operations: [] Exploring Operation: 43*29=1247, Resulting Numbers: [92, 35, 1247] Generated Node #2: [92, 35, 1247] from Operation: 43*29=1247 Current State: 33:[92, 35, 1247], Operations: ['43*29=1247'] Exploring Operation: 1247-92=1155, Resulting Numbers: [35, 1155] Generated Node #3: [35, 1155] from Operation: 1247-92=1155 Current State: 33:[35, 1155], Operations: ['43*29=1247', '1247-92=1155'] Exploring Operation: 1155/35=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 6, 70, 70, 66 ]
16
[ "70-6=64", "70-66=4", "64/4=16" ]
Current State: 16:[6, 70, 70, 66], Operations: [] Exploring Operation: 70-6=64, Resulting Numbers: [66, 64] Generated Node #2: [66, 64] from Operation: 70-6=64 Current State: 16:[66, 64], Operations: ['70-6=64'] Exploring Operation: 70-66=4, Resulting Numbers: [64, 4] Generated Node #3: [64, 4] from Operation: 70-66=4 Current State: 16:[64, 4], Operations: ['70-6=64', '70-66=4'] Exploring Operation: 64/4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 35, 55, 70, 99 ]
22
[ "70/35=2", "99-55=44", "44/2=22" ]
Current State: 22:[35, 55, 70, 99], Operations: [] Exploring Operation: 70/35=2, Resulting Numbers: [55, 99, 2] Generated Node #2: [55, 99, 2] from Operation: 70/35=2 Current State: 22:[55, 99, 2], Operations: ['70/35=2'] Exploring Operation: 99-55=44, Resulting Numbers: [2, 44] Generated Node #3: [2, 44] from Operation: 99-55=44 Current State: 22:[2, 44], Operations: ['70/35=2', '99-55=44'] Exploring Operation: 44/2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 67, 35, 15, 59 ]
85
[ "67-59=8", "15*8=120", "120-35=85" ]
Current State: 85:[67, 35, 15, 59], Operations: [] Exploring Operation: 67-59=8, Resulting Numbers: [35, 15, 8] Generated Node #2: [35, 15, 8] from Operation: 67-59=8 Current State: 85:[35, 15, 8], Operations: ['67-59=8'] Exploring Operation: 15*8=120, Resulting Numbers: [35, 120] Generated Node #3: [35, 120] from Operation: 15*8=120 Current State: 85:[35, 120], Operations: ['67-59=8', '15*8=120'] Exploring Operation: 120-35=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 53, 40, 40, 46 ]
73
[ "53-40=13", "40+46=86", "86-13=73" ]
Current State: 73:[53, 40, 40, 46], Operations: [] Exploring Operation: 53-40=13, Resulting Numbers: [46, 13] Generated Node #2: [46, 13] from Operation: 53-40=13 Current State: 73:[46, 13], Operations: ['53-40=13'] Exploring Operation: 40+46=86, Resulting Numbers: [13, 86] Generated Node #3: [13, 86] from Operation: 40+46=86 Current State: 73:[13, 86], Operations: ['53-40=13', '40+46=86'] Exploring Operation: 86-13=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 79, 30, 89, 76 ]
99
[ "79-76=3", "30/3=10", "89+10=99" ]
Current State: 99:[79, 30, 89, 76], Operations: [] Exploring Operation: 79-76=3, Resulting Numbers: [30, 89, 3] Generated Node #2: [30, 89, 3] from Operation: 79-76=3 Current State: 99:[30, 89, 3], Operations: ['79-76=3'] Exploring Operation: 30/3=10, Resulting Numbers: [89, 10] Generated Node #3: [89, 10] from Operation: 30/3=10 Current State: 99:[89, 10], Operations: ['79-76=3', '30/3=10'] Exploring Operation: 89+10=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 27, 96, 47, 21 ]
96
[ "47-27=20", "21-20=1", "96*1=96" ]
Current State: 96:[27, 96, 47, 21], Operations: [] Exploring Operation: 47-27=20, Resulting Numbers: [96, 21, 20] Generated Node #2: [96, 21, 20] from Operation: 47-27=20 Current State: 96:[96, 21, 20], Operations: ['47-27=20'] Exploring Operation: 21-20=1, Resulting Numbers: [96, 1] Generated Node #3: [96, 1] from Operation: 21-20=1 Current State: 96:[96, 1], Operations: ['47-27=20', '21-20=1'] Exploring Operation: 96*1=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 79, 93, 10, 94 ]
68
[ "79+93=172", "10+94=104", "172-104=68" ]
Current State: 68:[79, 93, 10, 94], Operations: [] Exploring Operation: 79+93=172, Resulting Numbers: [10, 94, 172] Generated Node #2: [10, 94, 172] from Operation: 79+93=172 Current State: 68:[10, 94, 172], Operations: ['79+93=172'] Exploring Operation: 10+94=104, Resulting Numbers: [172, 104] Generated Node #3: [172, 104] from Operation: 10+94=104 Current State: 68:[172, 104], Operations: ['79+93=172', '10+94=104'] Exploring Operation: 172-104=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 46, 65, 27, 9 ]
16
[ "65-46=19", "27/9=3", "19-3=16" ]
Current State: 16:[46, 65, 27, 9], Operations: [] Exploring Operation: 65-46=19, Resulting Numbers: [27, 9, 19] Generated Node #2: [27, 9, 19] from Operation: 65-46=19 Current State: 16:[27, 9, 19], Operations: ['65-46=19'] Exploring Operation: 27/9=3, Resulting Numbers: [19, 3] Generated Node #3: [19, 3] from Operation: 27/9=3 Current State: 16:[19, 3], Operations: ['65-46=19', '27/9=3'] Exploring Operation: 19-3=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 1, 6, 81, 30 ]
87
[ "6-1=5", "30/5=6", "81+6=87" ]
Current State: 87:[1, 6, 81, 30], Operations: [] Exploring Operation: 6-1=5, Resulting Numbers: [81, 30, 5] Generated Node #2: [81, 30, 5] from Operation: 6-1=5 Current State: 87:[81, 30, 5], Operations: ['6-1=5'] Exploring Operation: 30/5=6, Resulting Numbers: [81, 6] Generated Node #3: [81, 6] from Operation: 30/5=6 Current State: 87:[81, 6], Operations: ['6-1=5', '30/5=6'] Exploring Operation: 81+6=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 16, 93, 87, 14 ]
81
[ "16-14=2", "87*2=174", "174-93=81" ]
Current State: 81:[16, 93, 87, 14], Operations: [] Exploring Operation: 16-14=2, Resulting Numbers: [93, 87, 2] Generated Node #2: [93, 87, 2] from Operation: 16-14=2 Current State: 81:[93, 87, 2], Operations: ['16-14=2'] Exploring Operation: 87*2=174, Resulting Numbers: [93, 174] Generated Node #3: [93, 174] from Operation: 87*2=174 Current State: 81:[93, 174], Operations: ['16-14=2', '87*2=174'] Exploring Operation: 174-93=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 17, 50, 74, 4 ]
28
[ "17+50=67", "74-67=7", "4*7=28" ]
Current State: 28:[17, 50, 74, 4], Operations: [] Exploring Operation: 17+50=67, Resulting Numbers: [74, 4, 67] Generated Node #2: [74, 4, 67] from Operation: 17+50=67 Current State: 28:[74, 4, 67], Operations: ['17+50=67'] Exploring Operation: 74-67=7, Resulting Numbers: [4, 7] Generated Node #3: [4, 7] from Operation: 74-67=7 Current State: 28:[4, 7], Operations: ['17+50=67', '74-67=7'] Exploring Operation: 4*7=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 58, 2, 54, 44 ]
66
[ "58-2=56", "54-44=10", "56+10=66" ]
Current State: 66:[58, 2, 54, 44], Operations: [] Exploring Operation: 58-2=56, Resulting Numbers: [54, 44, 56] Generated Node #2: [54, 44, 56] from Operation: 58-2=56 Current State: 66:[54, 44, 56], Operations: ['58-2=56'] Exploring Operation: 54-44=10, Resulting Numbers: [56, 10] Generated Node #3: [56, 10] from Operation: 54-44=10 Current State: 66:[56, 10], Operations: ['58-2=56', '54-44=10'] Exploring Operation: 56+10=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 90, 56, 68, 2 ]
15
[ "90*2=180", "68-56=12", "180/12=15" ]
Current State: 15:[90, 56, 68, 2], Operations: [] Exploring Operation: 90*2=180, Resulting Numbers: [56, 68, 180] Generated Node #2: [56, 68, 180] from Operation: 90*2=180 Current State: 15:[56, 68, 180], Operations: ['90*2=180'] Exploring Operation: 68-56=12, Resulting Numbers: [180, 12] Generated Node #3: [180, 12] from Operation: 68-56=12 Current State: 15:[180, 12], Operations: ['90*2=180', '68-56=12'] Exploring Operation: 180/12=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 3, 42, 39, 51 ]
42
[ "42-39=3", "3*3=9", "51-9=42" ]
Current State: 42:[3, 42, 39, 51], Operations: [] Exploring Operation: 42-39=3, Resulting Numbers: [3, 51, 3] Generated Node #2: [3, 51, 3] from Operation: 42-39=3 Current State: 42:[3, 51, 3], Operations: ['42-39=3'] Exploring Operation: 3*3=9, Resulting Numbers: [51, 9] Generated Node #3: [51, 9] from Operation: 3*3=9 Current State: 42:[51, 9], Operations: ['42-39=3', '3*3=9'] Exploring Operation: 51-9=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 14, 49, 36, 91 ]
98
[ "14*91=1274", "49-36=13", "1274/13=98" ]
Current State: 98:[14, 49, 36, 91], Operations: [] Exploring Operation: 14*91=1274, Resulting Numbers: [49, 36, 1274] Generated Node #2: [49, 36, 1274] from Operation: 14*91=1274 Current State: 98:[49, 36, 1274], Operations: ['14*91=1274'] Exploring Operation: 49-36=13, Resulting Numbers: [1274, 13] Generated Node #3: [1274, 13] from Operation: 49-36=13 Current State: 98:[1274, 13], Operations: ['14*91=1274', '49-36=13'] Exploring Operation: 1274/13=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 35, 81, 12, 79 ]
94
[ "35+12=47", "81-79=2", "47*2=94" ]
Current State: 94:[35, 81, 12, 79], Operations: [] Exploring Operation: 35+12=47, Resulting Numbers: [81, 79, 47] Generated Node #2: [81, 79, 47] from Operation: 35+12=47 Current State: 94:[81, 79, 47], Operations: ['35+12=47'] Exploring Operation: 81-79=2, Resulting Numbers: [47, 2] Generated Node #3: [47, 2] from Operation: 81-79=2 Current State: 94:[47, 2], Operations: ['35+12=47', '81-79=2'] Exploring Operation: 47*2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 16, 62, 93, 13 ]
53
[ "16*13=208", "62+93=155", "208-155=53" ]
Current State: 53:[16, 62, 93, 13], Operations: [] Exploring Operation: 16*13=208, Resulting Numbers: [62, 93, 208] Generated Node #2: [62, 93, 208] from Operation: 16*13=208 Current State: 53:[62, 93, 208], Operations: ['16*13=208'] Exploring Operation: 62+93=155, Resulting Numbers: [208, 155] Generated Node #3: [208, 155] from Operation: 62+93=155 Current State: 53:[208, 155], Operations: ['16*13=208', '62+93=155'] Exploring Operation: 208-155=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 72, 15, 98, 94 ]
83
[ "72+15=87", "98-94=4", "87-4=83" ]
Current State: 83:[72, 15, 98, 94], Operations: [] Exploring Operation: 72+15=87, Resulting Numbers: [98, 94, 87] Generated Node #2: [98, 94, 87] from Operation: 72+15=87 Current State: 83:[98, 94, 87], Operations: ['72+15=87'] Exploring Operation: 98-94=4, Resulting Numbers: [87, 4] Generated Node #3: [87, 4] from Operation: 98-94=4 Current State: 83:[87, 4], Operations: ['72+15=87', '98-94=4'] Exploring Operation: 87-4=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 7, 80, 79, 82 ]
75
[ "82-7=75", "80-79=1", "75*1=75" ]
Current State: 75:[7, 80, 79, 82], Operations: [] Exploring Operation: 82-7=75, Resulting Numbers: [80, 79, 75] Generated Node #2: [80, 79, 75] from Operation: 82-7=75 Current State: 75:[80, 79, 75], Operations: ['82-7=75'] Exploring Operation: 80-79=1, Resulting Numbers: [75, 1] Generated Node #3: [75, 1] from Operation: 80-79=1 Current State: 75:[75, 1], Operations: ['82-7=75', '80-79=1'] Exploring Operation: 75*1=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 89, 27, 98, 59 ]
23
[ "89-27=62", "98-59=39", "62-39=23" ]
Current State: 23:[89, 27, 98, 59], Operations: [] Exploring Operation: 89-27=62, Resulting Numbers: [98, 59, 62] Generated Node #2: [98, 59, 62] from Operation: 89-27=62 Current State: 23:[98, 59, 62], Operations: ['89-27=62'] Exploring Operation: 98-59=39, Resulting Numbers: [62, 39] Generated Node #3: [62, 39] from Operation: 98-59=39 Current State: 23:[62, 39], Operations: ['89-27=62', '98-59=39'] Exploring Operation: 62-39=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 62, 92, 98, 60 ]
95
[ "62-60=2", "92+98=190", "190/2=95" ]
Current State: 95:[62, 92, 98, 60], Operations: [] Exploring Operation: 62-60=2, Resulting Numbers: [92, 98, 2] Generated Node #2: [92, 98, 2] from Operation: 62-60=2 Current State: 95:[92, 98, 2], Operations: ['62-60=2'] Exploring Operation: 92+98=190, Resulting Numbers: [2, 190] Generated Node #3: [2, 190] from Operation: 92+98=190 Current State: 95:[2, 190], Operations: ['62-60=2', '92+98=190'] Exploring Operation: 190/2=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 7, 22, 5, 16 ]
67
[ "16-7=9", "5*9=45", "22+45=67" ]
Current State: 67:[7, 22, 5, 16], Operations: [] Exploring Operation: 16-7=9, Resulting Numbers: [22, 5, 9] Generated Node #2: [22, 5, 9] from Operation: 16-7=9 Current State: 67:[22, 5, 9], Operations: ['16-7=9'] Exploring Operation: 5*9=45, Resulting Numbers: [22, 45] Generated Node #3: [22, 45] from Operation: 5*9=45 Current State: 67:[22, 45], Operations: ['16-7=9', '5*9=45'] Exploring Operation: 22+45=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 43, 76, 62, 12 ]
45
[ "43+76=119", "62+12=74", "119-74=45" ]
Current State: 45:[43, 76, 62, 12], Operations: [] Exploring Operation: 43+76=119, Resulting Numbers: [62, 12, 119] Generated Node #2: [62, 12, 119] from Operation: 43+76=119 Current State: 45:[62, 12, 119], Operations: ['43+76=119'] Exploring Operation: 62+12=74, Resulting Numbers: [119, 74] Generated Node #3: [119, 74] from Operation: 62+12=74 Current State: 45:[119, 74], Operations: ['43+76=119', '62+12=74'] Exploring Operation: 119-74=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 73, 96, 28, 56 ]
51
[ "96-73=23", "56-28=28", "23+28=51" ]
Current State: 51:[73, 96, 28, 56], Operations: [] Exploring Operation: 96-73=23, Resulting Numbers: [28, 56, 23] Generated Node #2: [28, 56, 23] from Operation: 96-73=23 Current State: 51:[28, 56, 23], Operations: ['96-73=23'] Exploring Operation: 56-28=28, Resulting Numbers: [23, 28] Generated Node #3: [23, 28] from Operation: 56-28=28 Current State: 51:[23, 28], Operations: ['96-73=23', '56-28=28'] Exploring Operation: 23+28=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 3, 37, 93, 63 ]
47
[ "93-63=30", "30/3=10", "37+10=47" ]
Current State: 47:[3, 37, 93, 63], Operations: [] Exploring Operation: 93-63=30, Resulting Numbers: [3, 37, 30] Generated Node #2: [3, 37, 30] from Operation: 93-63=30 Current State: 47:[3, 37, 30], Operations: ['93-63=30'] Exploring Operation: 30/3=10, Resulting Numbers: [37, 10] Generated Node #3: [37, 10] from Operation: 30/3=10 Current State: 47:[37, 10], Operations: ['93-63=30', '30/3=10'] Exploring Operation: 37+10=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 17, 2, 87, 68 ]
34
[ "17-2=15", "87-68=19", "15+19=34" ]
Current State: 34:[17, 2, 87, 68], Operations: [] Exploring Operation: 17-2=15, Resulting Numbers: [87, 68, 15] Generated Node #2: [87, 68, 15] from Operation: 17-2=15 Current State: 34:[87, 68, 15], Operations: ['17-2=15'] Exploring Operation: 87-68=19, Resulting Numbers: [15, 19] Generated Node #3: [15, 19] from Operation: 87-68=19 Current State: 34:[15, 19], Operations: ['17-2=15', '87-68=19'] Exploring Operation: 15+19=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 55, 14, 11, 85 ]
64
[ "14+85=99", "99/11=9", "55+9=64" ]
Current State: 64:[55, 14, 11, 85], Operations: [] Exploring Operation: 14+85=99, Resulting Numbers: [55, 11, 99] Generated Node #2: [55, 11, 99] from Operation: 14+85=99 Current State: 64:[55, 11, 99], Operations: ['14+85=99'] Exploring Operation: 99/11=9, Resulting Numbers: [55, 9] Generated Node #3: [55, 9] from Operation: 99/11=9 Current State: 64:[55, 9], Operations: ['14+85=99', '99/11=9'] Exploring Operation: 55+9=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 28, 1, 77, 6 ]
17
[ "1+6=7", "77/7=11", "28-11=17" ]
Current State: 17:[28, 1, 77, 6], Operations: [] Exploring Operation: 1+6=7, Resulting Numbers: [28, 77, 7] Generated Node #2: [28, 77, 7] from Operation: 1+6=7 Current State: 17:[28, 77, 7], Operations: ['1+6=7'] Exploring Operation: 77/7=11, Resulting Numbers: [28, 11] Generated Node #3: [28, 11] from Operation: 77/7=11 Current State: 17:[28, 11], Operations: ['1+6=7', '77/7=11'] Exploring Operation: 28-11=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 88, 7, 3, 95 ]
52
[ "95-88=7", "7*7=49", "3+49=52" ]
Current State: 52:[88, 7, 3, 95], Operations: [] Exploring Operation: 95-88=7, Resulting Numbers: [7, 3, 7] Generated Node #2: [7, 3, 7] from Operation: 95-88=7 Current State: 52:[7, 3, 7], Operations: ['95-88=7'] Exploring Operation: 7*7=49, Resulting Numbers: [3, 49] Generated Node #3: [3, 49] from Operation: 7*7=49 Current State: 52:[3, 49], Operations: ['95-88=7', '7*7=49'] Exploring Operation: 3+49=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 89, 58, 3, 23 ]
62
[ "89+3=92", "92/23=4", "58+4=62" ]
Current State: 62:[89, 58, 3, 23], Operations: [] Exploring Operation: 89+3=92, Resulting Numbers: [58, 23, 92] Generated Node #2: [58, 23, 92] from Operation: 89+3=92 Current State: 62:[58, 23, 92], Operations: ['89+3=92'] Exploring Operation: 92/23=4, Resulting Numbers: [58, 4] Generated Node #3: [58, 4] from Operation: 92/23=4 Current State: 62:[58, 4], Operations: ['89+3=92', '92/23=4'] Exploring Operation: 58+4=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 20, 25, 75, 74 ]
59
[ "25-20=5", "75/5=15", "74-15=59" ]
Current State: 59:[20, 25, 75, 74], Operations: [] Exploring Operation: 25-20=5, Resulting Numbers: [75, 74, 5] Generated Node #2: [75, 74, 5] from Operation: 25-20=5 Current State: 59:[75, 74, 5], Operations: ['25-20=5'] Exploring Operation: 75/5=15, Resulting Numbers: [74, 15] Generated Node #3: [74, 15] from Operation: 75/5=15 Current State: 59:[74, 15], Operations: ['25-20=5', '75/5=15'] Exploring Operation: 74-15=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 34, 61, 6, 49 ]
52
[ "34+61=95", "49-6=43", "95-43=52" ]
Current State: 52:[34, 61, 6, 49], Operations: [] Exploring Operation: 34+61=95, Resulting Numbers: [6, 49, 95] Generated Node #2: [6, 49, 95] from Operation: 34+61=95 Current State: 52:[6, 49, 95], Operations: ['34+61=95'] Exploring Operation: 49-6=43, Resulting Numbers: [95, 43] Generated Node #3: [95, 43] from Operation: 49-6=43 Current State: 52:[95, 43], Operations: ['34+61=95', '49-6=43'] Exploring Operation: 95-43=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 28, 63, 59, 68 ]
92
[ "63-28=35", "59+68=127", "127-35=92" ]
Current State: 92:[28, 63, 59, 68], Operations: [] Exploring Operation: 63-28=35, Resulting Numbers: [59, 68, 35] Generated Node #2: [59, 68, 35] from Operation: 63-28=35 Current State: 92:[59, 68, 35], Operations: ['63-28=35'] Exploring Operation: 59+68=127, Resulting Numbers: [35, 127] Generated Node #3: [35, 127] from Operation: 59+68=127 Current State: 92:[35, 127], Operations: ['63-28=35', '59+68=127'] Exploring Operation: 127-35=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 17, 85, 60, 35 ]
67
[ "85/17=5", "35/5=7", "60+7=67" ]
Current State: 67:[17, 85, 60, 35], Operations: [] Exploring Operation: 85/17=5, Resulting Numbers: [60, 35, 5] Generated Node #2: [60, 35, 5] from Operation: 85/17=5 Current State: 67:[60, 35, 5], Operations: ['85/17=5'] Exploring Operation: 35/5=7, Resulting Numbers: [60, 7] Generated Node #3: [60, 7] from Operation: 35/5=7 Current State: 67:[60, 7], Operations: ['85/17=5', '35/5=7'] Exploring Operation: 60+7=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 12, 55, 80, 11 ]
97
[ "12+80=92", "55/11=5", "92+5=97" ]
Current State: 97:[12, 55, 80, 11], Operations: [] Exploring Operation: 12+80=92, Resulting Numbers: [55, 11, 92] Generated Node #2: [55, 11, 92] from Operation: 12+80=92 Current State: 97:[55, 11, 92], Operations: ['12+80=92'] Exploring Operation: 55/11=5, Resulting Numbers: [92, 5] Generated Node #3: [92, 5] from Operation: 55/11=5 Current State: 97:[92, 5], Operations: ['12+80=92', '55/11=5'] Exploring Operation: 92+5=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 32, 30, 1, 28 ]
54
[ "32-30=2", "28-1=27", "2*27=54" ]
Current State: 54:[32, 30, 1, 28], Operations: [] Exploring Operation: 32-30=2, Resulting Numbers: [1, 28, 2] Generated Node #2: [1, 28, 2] from Operation: 32-30=2 Current State: 54:[1, 28, 2], Operations: ['32-30=2'] Exploring Operation: 28-1=27, Resulting Numbers: [2, 27] Generated Node #3: [2, 27] from Operation: 28-1=27 Current State: 54:[2, 27], Operations: ['32-30=2', '28-1=27'] Exploring Operation: 2*27=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 74, 62, 87, 72 ]
23
[ "74+62=136", "87+72=159", "159-136=23" ]
Current State: 23:[74, 62, 87, 72], Operations: [] Exploring Operation: 74+62=136, Resulting Numbers: [87, 72, 136] Generated Node #2: [87, 72, 136] from Operation: 74+62=136 Current State: 23:[87, 72, 136], Operations: ['74+62=136'] Exploring Operation: 87+72=159, Resulting Numbers: [136, 159] Generated Node #3: [136, 159] from Operation: 87+72=159 Current State: 23:[136, 159], Operations: ['74+62=136', '87+72=159'] Exploring Operation: 159-136=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 91, 48, 25, 90 ]
74
[ "91+48=139", "90-25=65", "139-65=74" ]
Current State: 74:[91, 48, 25, 90], Operations: [] Exploring Operation: 91+48=139, Resulting Numbers: [25, 90, 139] Generated Node #2: [25, 90, 139] from Operation: 91+48=139 Current State: 74:[25, 90, 139], Operations: ['91+48=139'] Exploring Operation: 90-25=65, Resulting Numbers: [139, 65] Generated Node #3: [139, 65] from Operation: 90-25=65 Current State: 74:[139, 65], Operations: ['91+48=139', '90-25=65'] Exploring Operation: 139-65=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 89, 3, 63, 50 ]
50
[ "89+50=139", "3*63=189", "189-139=50" ]
Current State: 50:[89, 3, 63, 50], Operations: [] Exploring Operation: 89+50=139, Resulting Numbers: [3, 63, 139] Generated Node #2: [3, 63, 139] from Operation: 89+50=139 Current State: 50:[3, 63, 139], Operations: ['89+50=139'] Exploring Operation: 3*63=189, Resulting Numbers: [139, 189] Generated Node #3: [139, 189] from Operation: 3*63=189 Current State: 50:[139, 189], Operations: ['89+50=139', '3*63=189'] Exploring Operation: 189-139=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 83, 73, 22, 97 ]
65
[ "83-73=10", "97-22=75", "75-10=65" ]
Current State: 65:[83, 73, 22, 97], Operations: [] Exploring Operation: 83-73=10, Resulting Numbers: [22, 97, 10] Generated Node #2: [22, 97, 10] from Operation: 83-73=10 Current State: 65:[22, 97, 10], Operations: ['83-73=10'] Exploring Operation: 97-22=75, Resulting Numbers: [10, 75] Generated Node #3: [10, 75] from Operation: 97-22=75 Current State: 65:[10, 75], Operations: ['83-73=10', '97-22=75'] Exploring Operation: 75-10=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 80, 81, 2, 34 ]
17
[ "81-80=1", "34/2=17", "1*17=17" ]
Current State: 17:[80, 81, 2, 34], Operations: [] Exploring Operation: 81-80=1, Resulting Numbers: [2, 34, 1] Generated Node #2: [2, 34, 1] from Operation: 81-80=1 Current State: 17:[2, 34, 1], Operations: ['81-80=1'] Exploring Operation: 34/2=17, Resulting Numbers: [1, 17] Generated Node #3: [1, 17] from Operation: 34/2=17 Current State: 17:[1, 17], Operations: ['81-80=1', '34/2=17'] Exploring Operation: 1*17=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 96, 22, 91, 42 ]
59
[ "96-22=74", "91+42=133", "133-74=59" ]
Current State: 59:[96, 22, 91, 42], Operations: [] Exploring Operation: 96-22=74, Resulting Numbers: [91, 42, 74] Generated Node #2: [91, 42, 74] from Operation: 96-22=74 Current State: 59:[91, 42, 74], Operations: ['96-22=74'] Exploring Operation: 91+42=133, Resulting Numbers: [74, 133] Generated Node #3: [74, 133] from Operation: 91+42=133 Current State: 59:[74, 133], Operations: ['96-22=74', '91+42=133'] Exploring Operation: 133-74=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 25, 4, 56, 32 ]
19
[ "56-32=24", "24/4=6", "25-6=19" ]
Current State: 19:[25, 4, 56, 32], Operations: [] Exploring Operation: 56-32=24, Resulting Numbers: [25, 4, 24] Generated Node #2: [25, 4, 24] from Operation: 56-32=24 Current State: 19:[25, 4, 24], Operations: ['56-32=24'] Exploring Operation: 24/4=6, Resulting Numbers: [25, 6] Generated Node #3: [25, 6] from Operation: 24/4=6 Current State: 19:[25, 6], Operations: ['56-32=24', '24/4=6'] Exploring Operation: 25-6=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 13, 25, 38, 7 ]
22
[ "25+38=63", "63/7=9", "13+9=22" ]
Current State: 22:[13, 25, 38, 7], Operations: [] Exploring Operation: 25+38=63, Resulting Numbers: [13, 7, 63] Generated Node #2: [13, 7, 63] from Operation: 25+38=63 Current State: 22:[13, 7, 63], Operations: ['25+38=63'] Exploring Operation: 63/7=9, Resulting Numbers: [13, 9] Generated Node #3: [13, 9] from Operation: 63/7=9 Current State: 22:[13, 9], Operations: ['25+38=63', '63/7=9'] Exploring Operation: 13+9=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 90, 42, 63, 16 ]
95
[ "90-42=48", "63-16=47", "48+47=95" ]
Current State: 95:[90, 42, 63, 16], Operations: [] Exploring Operation: 90-42=48, Resulting Numbers: [63, 16, 48] Generated Node #2: [63, 16, 48] from Operation: 90-42=48 Current State: 95:[63, 16, 48], Operations: ['90-42=48'] Exploring Operation: 63-16=47, Resulting Numbers: [48, 47] Generated Node #3: [48, 47] from Operation: 63-16=47 Current State: 95:[48, 47], Operations: ['90-42=48', '63-16=47'] Exploring Operation: 48+47=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 36, 27, 77, 21 ]
35
[ "36+27=63", "77+21=98", "98-63=35" ]
Current State: 35:[36, 27, 77, 21], Operations: [] Exploring Operation: 36+27=63, Resulting Numbers: [77, 21, 63] Generated Node #2: [77, 21, 63] from Operation: 36+27=63 Current State: 35:[77, 21, 63], Operations: ['36+27=63'] Exploring Operation: 77+21=98, Resulting Numbers: [63, 98] Generated Node #3: [63, 98] from Operation: 77+21=98 Current State: 35:[63, 98], Operations: ['36+27=63', '77+21=98'] Exploring Operation: 98-63=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 9, 83, 4, 14 ]
13
[ "9-4=5", "14*5=70", "83-70=13" ]
Current State: 13:[9, 83, 4, 14], Operations: [] Exploring Operation: 9-4=5, Resulting Numbers: [83, 14, 5] Generated Node #2: [83, 14, 5] from Operation: 9-4=5 Current State: 13:[83, 14, 5], Operations: ['9-4=5'] Exploring Operation: 14*5=70, Resulting Numbers: [83, 70] Generated Node #3: [83, 70] from Operation: 14*5=70 Current State: 13:[83, 70], Operations: ['9-4=5', '14*5=70'] Exploring Operation: 83-70=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 74, 48, 14, 65 ]
35
[ "74-48=26", "14*65=910", "910/26=35" ]
Current State: 35:[74, 48, 14, 65], Operations: [] Exploring Operation: 74-48=26, Resulting Numbers: [14, 65, 26] Generated Node #2: [14, 65, 26] from Operation: 74-48=26 Current State: 35:[14, 65, 26], Operations: ['74-48=26'] Exploring Operation: 14*65=910, Resulting Numbers: [26, 910] Generated Node #3: [26, 910] from Operation: 14*65=910 Current State: 35:[26, 910], Operations: ['74-48=26', '14*65=910'] Exploring Operation: 910/26=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 43, 58, 70, 92 ]
67
[ "43*92=3956", "3956-70=3886", "3886/58=67" ]
Current State: 67:[43, 58, 70, 92], Operations: [] Exploring Operation: 43*92=3956, Resulting Numbers: [58, 70, 3956] Generated Node #2: [58, 70, 3956] from Operation: 43*92=3956 Current State: 67:[58, 70, 3956], Operations: ['43*92=3956'] Exploring Operation: 3956-70=3886, Resulting Numbers: [58, 3886] Generated Node #3: [58, 3886] from Operation: 3956-70=3886 Current State: 67:[58, 3886], Operations: ['43*92=3956', '3956-70=3886'] Exploring Operation: 3886/58=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 90, 65, 5, 30 ]
67
[ "90/30=3", "65+5=70", "70-3=67" ]
Current State: 67:[90, 65, 5, 30], Operations: [] Exploring Operation: 90/30=3, Resulting Numbers: [65, 5, 3] Generated Node #2: [65, 5, 3] from Operation: 90/30=3 Current State: 67:[65, 5, 3], Operations: ['90/30=3'] Exploring Operation: 65+5=70, Resulting Numbers: [3, 70] Generated Node #3: [3, 70] from Operation: 65+5=70 Current State: 67:[3, 70], Operations: ['90/30=3', '65+5=70'] Exploring Operation: 70-3=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 56, 4, 61, 16 ]
97
[ "56-4=52", "61-16=45", "52+45=97" ]
Current State: 97:[56, 4, 61, 16], Operations: [] Exploring Operation: 56-4=52, Resulting Numbers: [61, 16, 52] Generated Node #2: [61, 16, 52] from Operation: 56-4=52 Current State: 97:[61, 16, 52], Operations: ['56-4=52'] Exploring Operation: 61-16=45, Resulting Numbers: [52, 45] Generated Node #3: [52, 45] from Operation: 61-16=45 Current State: 97:[52, 45], Operations: ['56-4=52', '61-16=45'] Exploring Operation: 52+45=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 60, 49, 38, 92 ]
12
[ "49+38=87", "92-87=5", "60/5=12" ]
Current State: 12:[60, 49, 38, 92], Operations: [] Exploring Operation: 49+38=87, Resulting Numbers: [60, 92, 87] Generated Node #2: [60, 92, 87] from Operation: 49+38=87 Current State: 12:[60, 92, 87], Operations: ['49+38=87'] Exploring Operation: 92-87=5, Resulting Numbers: [60, 5] Generated Node #3: [60, 5] from Operation: 92-87=5 Current State: 12:[60, 5], Operations: ['49+38=87', '92-87=5'] Exploring Operation: 60/5=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 43, 52, 4, 13 ]
35
[ "43-4=39", "52/13=4", "39-4=35" ]
Current State: 35:[43, 52, 4, 13], Operations: [] Exploring Operation: 43-4=39, Resulting Numbers: [52, 13, 39] Generated Node #2: [52, 13, 39] from Operation: 43-4=39 Current State: 35:[52, 13, 39], Operations: ['43-4=39'] Exploring Operation: 52/13=4, Resulting Numbers: [39, 4] Generated Node #3: [39, 4] from Operation: 52/13=4 Current State: 35:[39, 4], Operations: ['43-4=39', '52/13=4'] Exploring Operation: 39-4=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 28, 84, 32, 35 ]
25
[ "28+32=60", "35*60=2100", "2100/84=25" ]
Current State: 25:[28, 84, 32, 35], Operations: [] Exploring Operation: 28+32=60, Resulting Numbers: [84, 35, 60] Generated Node #2: [84, 35, 60] from Operation: 28+32=60 Current State: 25:[84, 35, 60], Operations: ['28+32=60'] Exploring Operation: 35*60=2100, Resulting Numbers: [84, 2100] Generated Node #3: [84, 2100] from Operation: 35*60=2100 Current State: 25:[84, 2100], Operations: ['28+32=60', '35*60=2100'] Exploring Operation: 2100/84=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 18, 9, 95, 26 ]
43
[ "18/9=2", "26*2=52", "95-52=43" ]
Current State: 43:[18, 9, 95, 26], Operations: [] Exploring Operation: 18/9=2, Resulting Numbers: [95, 26, 2] Generated Node #2: [95, 26, 2] from Operation: 18/9=2 Current State: 43:[95, 26, 2], Operations: ['18/9=2'] Exploring Operation: 26*2=52, Resulting Numbers: [95, 52] Generated Node #3: [95, 52] from Operation: 26*2=52 Current State: 43:[95, 52], Operations: ['18/9=2', '26*2=52'] Exploring Operation: 95-52=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 99, 30, 10, 39 ]
63
[ "99-39=60", "30/10=3", "60+3=63" ]
Current State: 63:[99, 30, 10, 39], Operations: [] Exploring Operation: 99-39=60, Resulting Numbers: [30, 10, 60] Generated Node #2: [30, 10, 60] from Operation: 99-39=60 Current State: 63:[30, 10, 60], Operations: ['99-39=60'] Exploring Operation: 30/10=3, Resulting Numbers: [60, 3] Generated Node #3: [60, 3] from Operation: 30/10=3 Current State: 63:[60, 3], Operations: ['99-39=60', '30/10=3'] Exploring Operation: 60+3=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 64, 78, 56, 62 ]
34
[ "64-62=2", "56*2=112", "112-78=34" ]
Current State: 34:[64, 78, 56, 62], Operations: [] Exploring Operation: 64-62=2, Resulting Numbers: [78, 56, 2] Generated Node #2: [78, 56, 2] from Operation: 64-62=2 Current State: 34:[78, 56, 2], Operations: ['64-62=2'] Exploring Operation: 56*2=112, Resulting Numbers: [78, 112] Generated Node #3: [78, 112] from Operation: 56*2=112 Current State: 34:[78, 112], Operations: ['64-62=2', '56*2=112'] Exploring Operation: 112-78=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 76, 16, 48, 33 ]
11
[ "76+16=92", "48+33=81", "92-81=11" ]
Current State: 11:[76, 16, 48, 33], Operations: [] Exploring Operation: 76+16=92, Resulting Numbers: [48, 33, 92] Generated Node #2: [48, 33, 92] from Operation: 76+16=92 Current State: 11:[48, 33, 92], Operations: ['76+16=92'] Exploring Operation: 48+33=81, Resulting Numbers: [92, 81] Generated Node #3: [92, 81] from Operation: 48+33=81 Current State: 11:[92, 81], Operations: ['76+16=92', '48+33=81'] Exploring Operation: 92-81=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 89, 4, 82, 55 ]
54
[ "89-55=34", "4*34=136", "136-82=54" ]
Current State: 54:[89, 4, 82, 55], Operations: [] Exploring Operation: 89-55=34, Resulting Numbers: [4, 82, 34] Generated Node #2: [4, 82, 34] from Operation: 89-55=34 Current State: 54:[4, 82, 34], Operations: ['89-55=34'] Exploring Operation: 4*34=136, Resulting Numbers: [82, 136] Generated Node #3: [82, 136] from Operation: 4*34=136 Current State: 54:[82, 136], Operations: ['89-55=34', '4*34=136'] Exploring Operation: 136-82=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 76, 16, 92, 52 ]
51
[ "76+16=92", "92/92=1", "52-1=51" ]
Current State: 51:[76, 16, 92, 52], Operations: [] Exploring Operation: 76+16=92, Resulting Numbers: [92, 52, 92] Generated Node #2: [92, 52, 92] from Operation: 76+16=92 Current State: 51:[92, 52, 92], Operations: ['76+16=92'] Exploring Operation: 92/92=1, Resulting Numbers: [52, 1] Generated Node #3: [52, 1] from Operation: 92/92=1 Current State: 51:[52, 1], Operations: ['76+16=92', '92/92=1'] Exploring Operation: 52-1=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 27, 66, 79, 57 ]
43
[ "27+66=93", "79+57=136", "136-93=43" ]
Current State: 43:[27, 66, 79, 57], Operations: [] Exploring Operation: 27+66=93, Resulting Numbers: [79, 57, 93] Generated Node #2: [79, 57, 93] from Operation: 27+66=93 Current State: 43:[79, 57, 93], Operations: ['27+66=93'] Exploring Operation: 79+57=136, Resulting Numbers: [93, 136] Generated Node #3: [93, 136] from Operation: 79+57=136 Current State: 43:[93, 136], Operations: ['27+66=93', '79+57=136'] Exploring Operation: 136-93=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 35, 21, 39, 36 ]
28
[ "39-36=3", "21*3=63", "63-35=28" ]
Current State: 28:[35, 21, 39, 36], Operations: [] Exploring Operation: 39-36=3, Resulting Numbers: [35, 21, 3] Generated Node #2: [35, 21, 3] from Operation: 39-36=3 Current State: 28:[35, 21, 3], Operations: ['39-36=3'] Exploring Operation: 21*3=63, Resulting Numbers: [35, 63] Generated Node #3: [35, 63] from Operation: 21*3=63 Current State: 28:[35, 63], Operations: ['39-36=3', '21*3=63'] Exploring Operation: 63-35=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 56, 83, 19, 59 ]
26
[ "59-56=3", "19*3=57", "83-57=26" ]
Current State: 26:[56, 83, 19, 59], Operations: [] Exploring Operation: 59-56=3, Resulting Numbers: [83, 19, 3] Generated Node #2: [83, 19, 3] from Operation: 59-56=3 Current State: 26:[83, 19, 3], Operations: ['59-56=3'] Exploring Operation: 19*3=57, Resulting Numbers: [83, 57] Generated Node #3: [83, 57] from Operation: 19*3=57 Current State: 26:[83, 57], Operations: ['59-56=3', '19*3=57'] Exploring Operation: 83-57=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 2, 13, 36, 81 ]
17
[ "13+36=49", "2*49=98", "98-81=17" ]
Current State: 17:[2, 13, 36, 81], Operations: [] Exploring Operation: 13+36=49, Resulting Numbers: [2, 81, 49] Generated Node #2: [2, 81, 49] from Operation: 13+36=49 Current State: 17:[2, 81, 49], Operations: ['13+36=49'] Exploring Operation: 2*49=98, Resulting Numbers: [81, 98] Generated Node #3: [81, 98] from Operation: 2*49=98 Current State: 17:[81, 98], Operations: ['13+36=49', '2*49=98'] Exploring Operation: 98-81=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 11, 30, 89, 71 ]
35
[ "11*89=979", "71+979=1050", "1050/30=35" ]
Current State: 35:[11, 30, 89, 71], Operations: [] Exploring Operation: 11*89=979, Resulting Numbers: [30, 71, 979] Generated Node #2: [30, 71, 979] from Operation: 11*89=979 Current State: 35:[30, 71, 979], Operations: ['11*89=979'] Exploring Operation: 71+979=1050, Resulting Numbers: [30, 1050] Generated Node #3: [30, 1050] from Operation: 71+979=1050 Current State: 35:[30, 1050], Operations: ['11*89=979', '71+979=1050'] Exploring Operation: 1050/30=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 11, 39, 8, 1 ]
55
[ "39+1=40", "11*40=440", "440/8=55" ]
Current State: 55:[11, 39, 8, 1], Operations: [] Exploring Operation: 39+1=40, Resulting Numbers: [11, 8, 40] Generated Node #2: [11, 8, 40] from Operation: 39+1=40 Current State: 55:[11, 8, 40], Operations: ['39+1=40'] Exploring Operation: 11*40=440, Resulting Numbers: [8, 440] Generated Node #3: [8, 440] from Operation: 11*40=440 Current State: 55:[8, 440], Operations: ['39+1=40', '11*40=440'] Exploring Operation: 440/8=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 11, 29, 6, 82 ]
37
[ "6+82=88", "88/11=8", "29+8=37" ]
Current State: 37:[11, 29, 6, 82], Operations: [] Exploring Operation: 6+82=88, Resulting Numbers: [11, 29, 88] Generated Node #2: [11, 29, 88] from Operation: 6+82=88 Current State: 37:[11, 29, 88], Operations: ['6+82=88'] Exploring Operation: 88/11=8, Resulting Numbers: [29, 8] Generated Node #3: [29, 8] from Operation: 88/11=8 Current State: 37:[29, 8], Operations: ['6+82=88', '88/11=8'] Exploring Operation: 29+8=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 21, 31, 70, 67 ]
49
[ "21+31=52", "70-67=3", "52-3=49" ]
Current State: 49:[21, 31, 70, 67], Operations: [] Exploring Operation: 21+31=52, Resulting Numbers: [70, 67, 52] Generated Node #2: [70, 67, 52] from Operation: 21+31=52 Current State: 49:[70, 67, 52], Operations: ['21+31=52'] Exploring Operation: 70-67=3, Resulting Numbers: [52, 3] Generated Node #3: [52, 3] from Operation: 70-67=3 Current State: 49:[52, 3], Operations: ['21+31=52', '70-67=3'] Exploring Operation: 52-3=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 27, 4, 2, 77 ]
62
[ "27*4=108", "108-77=31", "2*31=62" ]
Current State: 62:[27, 4, 2, 77], Operations: [] Exploring Operation: 27*4=108, Resulting Numbers: [2, 77, 108] Generated Node #2: [2, 77, 108] from Operation: 27*4=108 Current State: 62:[2, 77, 108], Operations: ['27*4=108'] Exploring Operation: 108-77=31, Resulting Numbers: [2, 31] Generated Node #3: [2, 31] from Operation: 108-77=31 Current State: 62:[2, 31], Operations: ['27*4=108', '108-77=31'] Exploring Operation: 2*31=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 81, 65, 34, 91 ]
21
[ "81+65=146", "34+91=125", "146-125=21" ]
Current State: 21:[81, 65, 34, 91], Operations: [] Exploring Operation: 81+65=146, Resulting Numbers: [34, 91, 146] Generated Node #2: [34, 91, 146] from Operation: 81+65=146 Current State: 21:[34, 91, 146], Operations: ['81+65=146'] Exploring Operation: 34+91=125, Resulting Numbers: [146, 125] Generated Node #3: [146, 125] from Operation: 34+91=125 Current State: 21:[146, 125], Operations: ['81+65=146', '34+91=125'] Exploring Operation: 146-125=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 8, 97, 20, 94 ]
100
[ "97-8=89", "94-89=5", "20*5=100" ]
Current State: 100:[8, 97, 20, 94], Operations: [] Exploring Operation: 97-8=89, Resulting Numbers: [20, 94, 89] Generated Node #2: [20, 94, 89] from Operation: 97-8=89 Current State: 100:[20, 94, 89], Operations: ['97-8=89'] Exploring Operation: 94-89=5, Resulting Numbers: [20, 5] Generated Node #3: [20, 5] from Operation: 94-89=5 Current State: 100:[20, 5], Operations: ['97-8=89', '94-89=5'] Exploring Operation: 20*5=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 34, 14, 56, 2 ]
32
[ "34+14=48", "48/2=24", "56-24=32" ]
Current State: 32:[34, 14, 56, 2], Operations: [] Exploring Operation: 34+14=48, Resulting Numbers: [56, 2, 48] Generated Node #2: [56, 2, 48] from Operation: 34+14=48 Current State: 32:[56, 2, 48], Operations: ['34+14=48'] Exploring Operation: 48/2=24, Resulting Numbers: [56, 24] Generated Node #3: [56, 24] from Operation: 48/2=24 Current State: 32:[56, 24], Operations: ['34+14=48', '48/2=24'] Exploring Operation: 56-24=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 17, 48, 76, 31 ]
51
[ "17+76=93", "93/31=3", "48+3=51" ]
Current State: 51:[17, 48, 76, 31], Operations: [] Exploring Operation: 17+76=93, Resulting Numbers: [48, 31, 93] Generated Node #2: [48, 31, 93] from Operation: 17+76=93 Current State: 51:[48, 31, 93], Operations: ['17+76=93'] Exploring Operation: 93/31=3, Resulting Numbers: [48, 3] Generated Node #3: [48, 3] from Operation: 93/31=3 Current State: 51:[48, 3], Operations: ['17+76=93', '93/31=3'] Exploring Operation: 48+3=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 33, 90, 70, 95 ]
98
[ "33+90=123", "95-70=25", "123-25=98" ]
Current State: 98:[33, 90, 70, 95], Operations: [] Exploring Operation: 33+90=123, Resulting Numbers: [70, 95, 123] Generated Node #2: [70, 95, 123] from Operation: 33+90=123 Current State: 98:[70, 95, 123], Operations: ['33+90=123'] Exploring Operation: 95-70=25, Resulting Numbers: [123, 25] Generated Node #3: [123, 25] from Operation: 95-70=25 Current State: 98:[123, 25], Operations: ['33+90=123', '95-70=25'] Exploring Operation: 123-25=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 5, 59, 2, 10 ]
56
[ "5+59=64", "10-2=8", "64-8=56" ]
Current State: 56:[5, 59, 2, 10], Operations: [] Exploring Operation: 5+59=64, Resulting Numbers: [2, 10, 64] Generated Node #2: [2, 10, 64] from Operation: 5+59=64 Current State: 56:[2, 10, 64], Operations: ['5+59=64'] Exploring Operation: 10-2=8, Resulting Numbers: [64, 8] Generated Node #3: [64, 8] from Operation: 10-2=8 Current State: 56:[64, 8], Operations: ['5+59=64', '10-2=8'] Exploring Operation: 64-8=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 51, 25, 26, 12 ]
11
[ "51-25=26", "26/26=1", "12-1=11" ]
Current State: 11:[51, 25, 26, 12], Operations: [] Exploring Operation: 51-25=26, Resulting Numbers: [26, 12, 26] Generated Node #2: [26, 12, 26] from Operation: 51-25=26 Current State: 11:[26, 12, 26], Operations: ['51-25=26'] Exploring Operation: 26/26=1, Resulting Numbers: [12, 1] Generated Node #3: [12, 1] from Operation: 26/26=1 Current State: 11:[12, 1], Operations: ['51-25=26', '26/26=1'] Exploring Operation: 12-1=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 77, 86, 94, 61 ]
24
[ "86-77=9", "94-61=33", "33-9=24" ]
Current State: 24:[77, 86, 94, 61], Operations: [] Exploring Operation: 86-77=9, Resulting Numbers: [94, 61, 9] Generated Node #2: [94, 61, 9] from Operation: 86-77=9 Current State: 24:[94, 61, 9], Operations: ['86-77=9'] Exploring Operation: 94-61=33, Resulting Numbers: [9, 33] Generated Node #3: [9, 33] from Operation: 94-61=33 Current State: 24:[9, 33], Operations: ['86-77=9', '94-61=33'] Exploring Operation: 33-9=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 3, 30, 71, 3 ]
32
[ "3*3=9", "71-30=41", "41-9=32" ]
Current State: 32:[3, 30, 71, 3], Operations: [] Exploring Operation: 3*3=9, Resulting Numbers: [30, 71, 9] Generated Node #2: [30, 71, 9] from Operation: 3*3=9 Current State: 32:[30, 71, 9], Operations: ['3*3=9'] Exploring Operation: 71-30=41, Resulting Numbers: [9, 41] Generated Node #3: [9, 41] from Operation: 71-30=41 Current State: 32:[9, 41], Operations: ['3*3=9', '71-30=41'] Exploring Operation: 41-9=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 19, 39, 40, 75 ]
57
[ "19+39=58", "40+75=115", "115-58=57" ]
Current State: 57:[19, 39, 40, 75], Operations: [] Exploring Operation: 19+39=58, Resulting Numbers: [40, 75, 58] Generated Node #2: [40, 75, 58] from Operation: 19+39=58 Current State: 57:[40, 75, 58], Operations: ['19+39=58'] Exploring Operation: 40+75=115, Resulting Numbers: [58, 115] Generated Node #3: [58, 115] from Operation: 40+75=115 Current State: 57:[58, 115], Operations: ['19+39=58', '40+75=115'] Exploring Operation: 115-58=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 62, 93, 94, 57 ]
84
[ "93*94=8742", "8742/62=141", "141-57=84" ]
Current State: 84:[62, 93, 94, 57], Operations: [] Exploring Operation: 93*94=8742, Resulting Numbers: [62, 57, 8742] Generated Node #2: [62, 57, 8742] from Operation: 93*94=8742 Current State: 84:[62, 57, 8742], Operations: ['93*94=8742'] Exploring Operation: 8742/62=141, Resulting Numbers: [57, 141] Generated Node #3: [57, 141] from Operation: 8742/62=141 Current State: 84:[57, 141], Operations: ['93*94=8742', '8742/62=141'] Exploring Operation: 141-57=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 3, 56, 3, 24 ]
32
[ "3+56=59", "3+24=27", "59-27=32" ]
Current State: 32:[3, 56, 3, 24], Operations: [] Exploring Operation: 3+56=59, Resulting Numbers: [24, 59] Generated Node #2: [24, 59] from Operation: 3+56=59 Current State: 32:[24, 59], Operations: ['3+56=59'] Exploring Operation: 3+24=27, Resulting Numbers: [59, 27] Generated Node #3: [59, 27] from Operation: 3+24=27 Current State: 32:[59, 27], Operations: ['3+56=59', '3+24=27'] Exploring Operation: 59-27=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 2, 13, 6, 45 ]
45
[ "2+13=15", "6*15=90", "90-45=45" ]
Current State: 45:[2, 13, 6, 45], Operations: [] Exploring Operation: 2+13=15, Resulting Numbers: [6, 45, 15] Generated Node #2: [6, 45, 15] from Operation: 2+13=15 Current State: 45:[6, 45, 15], Operations: ['2+13=15'] Exploring Operation: 6*15=90, Resulting Numbers: [45, 90] Generated Node #3: [45, 90] from Operation: 6*15=90 Current State: 45:[45, 90], Operations: ['2+13=15', '6*15=90'] Exploring Operation: 90-45=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 6, 83, 58, 50 ]
100
[ "83-58=25", "6*25=150", "150-50=100" ]
Current State: 100:[6, 83, 58, 50], Operations: [] Exploring Operation: 83-58=25, Resulting Numbers: [6, 50, 25] Generated Node #2: [6, 50, 25] from Operation: 83-58=25 Current State: 100:[6, 50, 25], Operations: ['83-58=25'] Exploring Operation: 6*25=150, Resulting Numbers: [50, 150] Generated Node #3: [50, 150] from Operation: 6*25=150 Current State: 100:[50, 150], Operations: ['83-58=25', '6*25=150'] Exploring Operation: 150-50=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 5, 16, 80, 6 ]
18
[ "16+80=96", "96-6=90", "90/5=18" ]
Current State: 18:[5, 16, 80, 6], Operations: [] Exploring Operation: 16+80=96, Resulting Numbers: [5, 6, 96] Generated Node #2: [5, 6, 96] from Operation: 16+80=96 Current State: 18:[5, 6, 96], Operations: ['16+80=96'] Exploring Operation: 96-6=90, Resulting Numbers: [5, 90] Generated Node #3: [5, 90] from Operation: 96-6=90 Current State: 18:[5, 90], Operations: ['16+80=96', '96-6=90'] Exploring Operation: 90/5=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 44, 56, 76, 54 ]
54
[ "56-54=2", "44/2=22", "76-22=54" ]
Current State: 54:[44, 56, 76, 54], Operations: [] Exploring Operation: 56-54=2, Resulting Numbers: [44, 76, 2] Generated Node #2: [44, 76, 2] from Operation: 56-54=2 Current State: 54:[44, 76, 2], Operations: ['56-54=2'] Exploring Operation: 44/2=22, Resulting Numbers: [76, 22] Generated Node #3: [76, 22] from Operation: 44/2=22 Current State: 54:[76, 22], Operations: ['56-54=2', '44/2=22'] Exploring Operation: 76-22=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 2, 27, 19, 59 ]
24
[ "2*27=54", "19+59=78", "78-54=24" ]
Current State: 24:[2, 27, 19, 59], Operations: [] Exploring Operation: 2*27=54, Resulting Numbers: [19, 59, 54] Generated Node #2: [19, 59, 54] from Operation: 2*27=54 Current State: 24:[19, 59, 54], Operations: ['2*27=54'] Exploring Operation: 19+59=78, Resulting Numbers: [54, 78] Generated Node #3: [54, 78] from Operation: 19+59=78 Current State: 24:[54, 78], Operations: ['2*27=54', '19+59=78'] Exploring Operation: 78-54=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 94, 32, 73, 42 ]
94
[ "73-32=41", "42-41=1", "94*1=94" ]
Current State: 94:[94, 32, 73, 42], Operations: [] Exploring Operation: 73-32=41, Resulting Numbers: [94, 42, 41] Generated Node #2: [94, 42, 41] from Operation: 73-32=41 Current State: 94:[94, 42, 41], Operations: ['73-32=41'] Exploring Operation: 42-41=1, Resulting Numbers: [94, 1] Generated Node #3: [94, 1] from Operation: 42-41=1 Current State: 94:[94, 1], Operations: ['73-32=41', '42-41=1'] Exploring Operation: 94*1=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 24, 52, 94, 26 ]
84
[ "26-24=2", "94-52=42", "2*42=84" ]
Current State: 84:[24, 52, 94, 26], Operations: [] Exploring Operation: 26-24=2, Resulting Numbers: [52, 94, 2] Generated Node #2: [52, 94, 2] from Operation: 26-24=2 Current State: 84:[52, 94, 2], Operations: ['26-24=2'] Exploring Operation: 94-52=42, Resulting Numbers: [2, 42] Generated Node #3: [2, 42] from Operation: 94-52=42 Current State: 84:[2, 42], Operations: ['26-24=2', '94-52=42'] Exploring Operation: 2*42=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 20, 27, 57, 32 ]
96
[ "27-20=7", "57+32=89", "7+89=96" ]
Current State: 96:[20, 27, 57, 32], Operations: [] Exploring Operation: 27-20=7, Resulting Numbers: [57, 32, 7] Generated Node #2: [57, 32, 7] from Operation: 27-20=7 Current State: 96:[57, 32, 7], Operations: ['27-20=7'] Exploring Operation: 57+32=89, Resulting Numbers: [7, 89] Generated Node #3: [7, 89] from Operation: 57+32=89 Current State: 96:[7, 89], Operations: ['27-20=7', '57+32=89'] Exploring Operation: 7+89=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 11, 10, 5, 15 ]
41
[ "11+10=21", "5+15=20", "21+20=41" ]
Current State: 41:[11, 10, 5, 15], Operations: [] Exploring Operation: 11+10=21, Resulting Numbers: [5, 15, 21] Generated Node #2: [5, 15, 21] from Operation: 11+10=21 Current State: 41:[5, 15, 21], Operations: ['11+10=21'] Exploring Operation: 5+15=20, Resulting Numbers: [21, 20] Generated Node #3: [21, 20] from Operation: 5+15=20 Current State: 41:[21, 20], Operations: ['11+10=21', '5+15=20'] Exploring Operation: 21+20=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 61, 26, 19, 66 ]
12
[ "61-26=35", "66-19=47", "47-35=12" ]
Current State: 12:[61, 26, 19, 66], Operations: [] Exploring Operation: 61-26=35, Resulting Numbers: [19, 66, 35] Generated Node #2: [19, 66, 35] from Operation: 61-26=35 Current State: 12:[19, 66, 35], Operations: ['61-26=35'] Exploring Operation: 66-19=47, Resulting Numbers: [35, 47] Generated Node #3: [35, 47] from Operation: 66-19=47 Current State: 12:[35, 47], Operations: ['61-26=35', '66-19=47'] Exploring Operation: 47-35=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 53, 85, 59, 90 ]
70
[ "59-53=6", "90/6=15", "85-15=70" ]
Current State: 70:[53, 85, 59, 90], Operations: [] Exploring Operation: 59-53=6, Resulting Numbers: [85, 90, 6] Generated Node #2: [85, 90, 6] from Operation: 59-53=6 Current State: 70:[85, 90, 6], Operations: ['59-53=6'] Exploring Operation: 90/6=15, Resulting Numbers: [85, 15] Generated Node #3: [85, 15] from Operation: 90/6=15 Current State: 70:[85, 15], Operations: ['59-53=6', '90/6=15'] Exploring Operation: 85-15=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 97, 16, 2, 86 ]
62
[ "86-16=70", "70/2=35", "97-35=62" ]
Current State: 62:[97, 16, 2, 86], Operations: [] Exploring Operation: 86-16=70, Resulting Numbers: [97, 2, 70] Generated Node #2: [97, 2, 70] from Operation: 86-16=70 Current State: 62:[97, 2, 70], Operations: ['86-16=70'] Exploring Operation: 70/2=35, Resulting Numbers: [97, 35] Generated Node #3: [97, 35] from Operation: 70/2=35 Current State: 62:[97, 35], Operations: ['86-16=70', '70/2=35'] Exploring Operation: 97-35=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4