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
[ 86, 11, 46, 2 ]
17
[ "86-11=75", "46*2=92", "92-75=17" ]
Current State: 17:[86, 11, 46, 2], Operations: [] Exploring Operation: 86-11=75, Resulting Numbers: [46, 2, 75] Generated Node #2: [46, 2, 75] from Operation: 86-11=75 Current State: 17:[46, 2, 75], Operations: ['86-11=75'] Exploring Operation: 46*2=92, Resulting Numbers: [75, 92] Generated Node #3: [75, 92] from Operation: 46*2=92 Current State: 17:[75, 92], Operations: ['86-11=75', '46*2=92'] Exploring Operation: 92-75=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 15, 23, 32, 68 ]
96
[ "68-23=45", "45/15=3", "32*3=96" ]
Current State: 96:[15, 23, 32, 68], Operations: [] Exploring Operation: 68-23=45, Resulting Numbers: [15, 32, 45] Generated Node #2: [15, 32, 45] from Operation: 68-23=45 Current State: 96:[15, 32, 45], Operations: ['68-23=45'] Exploring Operation: 45/15=3, Resulting Numbers: [32, 3] Generated Node #3: [32, 3] from Operation: 45/15=3 Current State: 96:[32, 3], Operations: ['68-23=45', '45/15=3'] Exploring Operation: 32*3=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 89, 70, 60, 91 ]
40
[ "91-89=2", "60/2=30", "70-30=40" ]
Current State: 40:[89, 70, 60, 91], Operations: [] Exploring Operation: 91-89=2, Resulting Numbers: [70, 60, 2] Generated Node #2: [70, 60, 2] from Operation: 91-89=2 Current State: 40:[70, 60, 2], Operations: ['91-89=2'] Exploring Operation: 60/2=30, Resulting Numbers: [70, 30] Generated Node #3: [70, 30] from Operation: 60/2=30 Current State: 40:[70, 30], Operations: ['91-89=2', '60/2=30'] Exploring Operation: 70-30=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 99, 31, 97, 39 ]
26
[ "97-31=66", "39*66=2574", "2574/99=26" ]
Current State: 26:[99, 31, 97, 39], Operations: [] Exploring Operation: 97-31=66, Resulting Numbers: [99, 39, 66] Generated Node #2: [99, 39, 66] from Operation: 97-31=66 Current State: 26:[99, 39, 66], Operations: ['97-31=66'] Exploring Operation: 39*66=2574, Resulting Numbers: [99, 2574] Generated Node #3: [99, 2574] from Operation: 39*66=2574 Current State: 26:[99, 2574], Operations: ['97-31=66', '39*66=2574'] Exploring Operation: 2574/99=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 59, 7, 27, 4 ]
43
[ "59+7=66", "27-4=23", "66-23=43" ]
Current State: 43:[59, 7, 27, 4], Operations: [] Exploring Operation: 59+7=66, Resulting Numbers: [27, 4, 66] Generated Node #2: [27, 4, 66] from Operation: 59+7=66 Current State: 43:[27, 4, 66], Operations: ['59+7=66'] Exploring Operation: 27-4=23, Resulting Numbers: [66, 23] Generated Node #3: [66, 23] from Operation: 27-4=23 Current State: 43:[66, 23], Operations: ['59+7=66', '27-4=23'] Exploring Operation: 66-23=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 36, 12, 54, 29 ]
23
[ "36+12=48", "54-29=25", "48-25=23" ]
Current State: 23:[36, 12, 54, 29], Operations: [] Exploring Operation: 36+12=48, Resulting Numbers: [54, 29, 48] Generated Node #2: [54, 29, 48] from Operation: 36+12=48 Current State: 23:[54, 29, 48], Operations: ['36+12=48'] Exploring Operation: 54-29=25, Resulting Numbers: [48, 25] Generated Node #3: [48, 25] from Operation: 54-29=25 Current State: 23:[48, 25], Operations: ['36+12=48', '54-29=25'] Exploring Operation: 48-25=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 3, 9, 60, 36 ]
67
[ "3+60=63", "36/9=4", "63+4=67" ]
Current State: 67:[3, 9, 60, 36], Operations: [] Exploring Operation: 3+60=63, Resulting Numbers: [9, 36, 63] Generated Node #2: [9, 36, 63] from Operation: 3+60=63 Current State: 67:[9, 36, 63], Operations: ['3+60=63'] Exploring Operation: 36/9=4, Resulting Numbers: [63, 4] Generated Node #3: [63, 4] from Operation: 36/9=4 Current State: 67:[63, 4], Operations: ['3+60=63', '36/9=4'] Exploring Operation: 63+4=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 76, 63, 59, 5 ]
24
[ "63-59=4", "76/4=19", "5+19=24" ]
Current State: 24:[76, 63, 59, 5], Operations: [] Exploring Operation: 63-59=4, Resulting Numbers: [76, 5, 4] Generated Node #2: [76, 5, 4] from Operation: 63-59=4 Current State: 24:[76, 5, 4], Operations: ['63-59=4'] Exploring Operation: 76/4=19, Resulting Numbers: [5, 19] Generated Node #3: [5, 19] from Operation: 76/4=19 Current State: 24:[5, 19], Operations: ['63-59=4', '76/4=19'] Exploring Operation: 5+19=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 51, 37, 25, 54 ]
43
[ "51-37=14", "54-25=29", "14+29=43" ]
Current State: 43:[51, 37, 25, 54], Operations: [] Exploring Operation: 51-37=14, Resulting Numbers: [25, 54, 14] Generated Node #2: [25, 54, 14] from Operation: 51-37=14 Current State: 43:[25, 54, 14], Operations: ['51-37=14'] Exploring Operation: 54-25=29, Resulting Numbers: [14, 29] Generated Node #3: [14, 29] from Operation: 54-25=29 Current State: 43:[14, 29], Operations: ['51-37=14', '54-25=29'] Exploring Operation: 14+29=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 66, 84, 97, 34 ]
88
[ "66*84=5544", "97-34=63", "5544/63=88" ]
Current State: 88:[66, 84, 97, 34], Operations: [] Exploring Operation: 66*84=5544, Resulting Numbers: [97, 34, 5544] Generated Node #2: [97, 34, 5544] from Operation: 66*84=5544 Current State: 88:[97, 34, 5544], Operations: ['66*84=5544'] Exploring Operation: 97-34=63, Resulting Numbers: [5544, 63] Generated Node #3: [5544, 63] from Operation: 97-34=63 Current State: 88:[5544, 63], Operations: ['66*84=5544', '97-34=63'] Exploring Operation: 5544/63=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 20, 75, 80, 65 ]
40
[ "75-20=55", "80-65=15", "55-15=40" ]
Current State: 40:[20, 75, 80, 65], Operations: [] Exploring Operation: 75-20=55, Resulting Numbers: [80, 65, 55] Generated Node #2: [80, 65, 55] from Operation: 75-20=55 Current State: 40:[80, 65, 55], Operations: ['75-20=55'] Exploring Operation: 80-65=15, Resulting Numbers: [55, 15] Generated Node #3: [55, 15] from Operation: 80-65=15 Current State: 40:[55, 15], Operations: ['75-20=55', '80-65=15'] Exploring Operation: 55-15=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 43, 71, 64, 32 ]
16
[ "71-43=28", "32-28=4", "64/4=16" ]
Current State: 16:[43, 71, 64, 32], Operations: [] Exploring Operation: 71-43=28, Resulting Numbers: [64, 32, 28] Generated Node #2: [64, 32, 28] from Operation: 71-43=28 Current State: 16:[64, 32, 28], Operations: ['71-43=28'] Exploring Operation: 32-28=4, Resulting Numbers: [64, 4] Generated Node #3: [64, 4] from Operation: 32-28=4 Current State: 16:[64, 4], Operations: ['71-43=28', '32-28=4'] Exploring Operation: 64/4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 61, 44, 64, 27 ]
68
[ "61+44=105", "64-27=37", "105-37=68" ]
Current State: 68:[61, 44, 64, 27], Operations: [] Exploring Operation: 61+44=105, Resulting Numbers: [64, 27, 105] Generated Node #2: [64, 27, 105] from Operation: 61+44=105 Current State: 68:[64, 27, 105], Operations: ['61+44=105'] Exploring Operation: 64-27=37, Resulting Numbers: [105, 37] Generated Node #3: [105, 37] from Operation: 64-27=37 Current State: 68:[105, 37], Operations: ['61+44=105', '64-27=37'] Exploring Operation: 105-37=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 93, 1, 16, 28 ]
50
[ "93+1=94", "16+28=44", "94-44=50" ]
Current State: 50:[93, 1, 16, 28], Operations: [] Exploring Operation: 93+1=94, Resulting Numbers: [16, 28, 94] Generated Node #2: [16, 28, 94] from Operation: 93+1=94 Current State: 50:[16, 28, 94], Operations: ['93+1=94'] Exploring Operation: 16+28=44, Resulting Numbers: [94, 44] Generated Node #3: [94, 44] from Operation: 16+28=44 Current State: 50:[94, 44], Operations: ['93+1=94', '16+28=44'] Exploring Operation: 94-44=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 92, 22, 64, 85 ]
91
[ "92-22=70", "85-64=21", "70+21=91" ]
Current State: 91:[92, 22, 64, 85], Operations: [] Exploring Operation: 92-22=70, Resulting Numbers: [64, 85, 70] Generated Node #2: [64, 85, 70] from Operation: 92-22=70 Current State: 91:[64, 85, 70], Operations: ['92-22=70'] Exploring Operation: 85-64=21, Resulting Numbers: [70, 21] Generated Node #3: [70, 21] from Operation: 85-64=21 Current State: 91:[70, 21], Operations: ['92-22=70', '85-64=21'] Exploring Operation: 70+21=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 27, 86, 72, 93 ]
52
[ "27+86=113", "72+93=165", "165-113=52" ]
Current State: 52:[27, 86, 72, 93], Operations: [] Exploring Operation: 27+86=113, Resulting Numbers: [72, 93, 113] Generated Node #2: [72, 93, 113] from Operation: 27+86=113 Current State: 52:[72, 93, 113], Operations: ['27+86=113'] Exploring Operation: 72+93=165, Resulting Numbers: [113, 165] Generated Node #3: [113, 165] from Operation: 72+93=165 Current State: 52:[113, 165], Operations: ['27+86=113', '72+93=165'] Exploring Operation: 165-113=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 78, 75, 72, 81 ]
47
[ "81-78=3", "75/3=25", "72-25=47" ]
Current State: 47:[78, 75, 72, 81], Operations: [] Exploring Operation: 81-78=3, Resulting Numbers: [75, 72, 3] Generated Node #2: [75, 72, 3] from Operation: 81-78=3 Current State: 47:[75, 72, 3], Operations: ['81-78=3'] Exploring Operation: 75/3=25, Resulting Numbers: [72, 25] Generated Node #3: [72, 25] from Operation: 75/3=25 Current State: 47:[72, 25], Operations: ['81-78=3', '75/3=25'] Exploring Operation: 72-25=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 80, 48, 71, 44 ]
91
[ "48-44=4", "80/4=20", "71+20=91" ]
Current State: 91:[80, 48, 71, 44], Operations: [] Exploring Operation: 48-44=4, Resulting Numbers: [80, 71, 4] Generated Node #2: [80, 71, 4] from Operation: 48-44=4 Current State: 91:[80, 71, 4], Operations: ['48-44=4'] Exploring Operation: 80/4=20, Resulting Numbers: [71, 20] Generated Node #3: [71, 20] from Operation: 80/4=20 Current State: 91:[71, 20], Operations: ['48-44=4', '80/4=20'] Exploring Operation: 71+20=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 12, 72, 41, 43 ]
48
[ "43-41=2", "12*2=24", "72-24=48" ]
Current State: 48:[12, 72, 41, 43], Operations: [] Exploring Operation: 43-41=2, Resulting Numbers: [12, 72, 2] Generated Node #2: [12, 72, 2] from Operation: 43-41=2 Current State: 48:[12, 72, 2], Operations: ['43-41=2'] Exploring Operation: 12*2=24, Resulting Numbers: [72, 24] Generated Node #3: [72, 24] from Operation: 12*2=24 Current State: 48:[72, 24], Operations: ['43-41=2', '12*2=24'] Exploring Operation: 72-24=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 15, 69, 63, 93 ]
67
[ "93-63=30", "30/15=2", "69-2=67" ]
Current State: 67:[15, 69, 63, 93], Operations: [] Exploring Operation: 93-63=30, Resulting Numbers: [15, 69, 30] Generated Node #2: [15, 69, 30] from Operation: 93-63=30 Current State: 67:[15, 69, 30], Operations: ['93-63=30'] Exploring Operation: 30/15=2, Resulting Numbers: [69, 2] Generated Node #3: [69, 2] from Operation: 30/15=2 Current State: 67:[69, 2], Operations: ['93-63=30', '30/15=2'] Exploring Operation: 69-2=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 9, 20, 16, 11 ]
36
[ "9*20=180", "16-11=5", "180/5=36" ]
Current State: 36:[9, 20, 16, 11], Operations: [] Exploring Operation: 9*20=180, Resulting Numbers: [16, 11, 180] Generated Node #2: [16, 11, 180] from Operation: 9*20=180 Current State: 36:[16, 11, 180], Operations: ['9*20=180'] Exploring Operation: 16-11=5, Resulting Numbers: [180, 5] Generated Node #3: [180, 5] from Operation: 16-11=5 Current State: 36:[180, 5], Operations: ['9*20=180', '16-11=5'] Exploring Operation: 180/5=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 19, 41, 25, 17 ]
33
[ "19-17=2", "41+25=66", "66/2=33" ]
Current State: 33:[19, 41, 25, 17], Operations: [] Exploring Operation: 19-17=2, Resulting Numbers: [41, 25, 2] Generated Node #2: [41, 25, 2] from Operation: 19-17=2 Current State: 33:[41, 25, 2], Operations: ['19-17=2'] Exploring Operation: 41+25=66, Resulting Numbers: [2, 66] Generated Node #3: [2, 66] from Operation: 41+25=66 Current State: 33:[2, 66], Operations: ['19-17=2', '41+25=66'] Exploring Operation: 66/2=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 2, 89, 13, 1 ]
95
[ "13-1=12", "12/2=6", "89+6=95" ]
Current State: 95:[2, 89, 13, 1], Operations: [] Exploring Operation: 13-1=12, Resulting Numbers: [2, 89, 12] Generated Node #2: [2, 89, 12] from Operation: 13-1=12 Current State: 95:[2, 89, 12], Operations: ['13-1=12'] Exploring Operation: 12/2=6, Resulting Numbers: [89, 6] Generated Node #3: [89, 6] from Operation: 12/2=6 Current State: 95:[89, 6], Operations: ['13-1=12', '12/2=6'] Exploring Operation: 89+6=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 65, 52, 14, 96 ]
97
[ "65-52=13", "14+96=110", "110-13=97" ]
Current State: 97:[65, 52, 14, 96], Operations: [] Exploring Operation: 65-52=13, Resulting Numbers: [14, 96, 13] Generated Node #2: [14, 96, 13] from Operation: 65-52=13 Current State: 97:[14, 96, 13], Operations: ['65-52=13'] Exploring Operation: 14+96=110, Resulting Numbers: [13, 110] Generated Node #3: [13, 110] from Operation: 14+96=110 Current State: 97:[13, 110], Operations: ['65-52=13', '14+96=110'] Exploring Operation: 110-13=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 17, 59, 17, 47 ]
72
[ "59-17=42", "47-17=30", "42+30=72" ]
Current State: 72:[17, 59, 17, 47], Operations: [] Exploring Operation: 59-17=42, Resulting Numbers: [47, 42] Generated Node #2: [47, 42] from Operation: 59-17=42 Current State: 72:[47, 42], Operations: ['59-17=42'] Exploring Operation: 47-17=30, Resulting Numbers: [42, 30] Generated Node #3: [42, 30] from Operation: 47-17=30 Current State: 72:[42, 30], Operations: ['59-17=42', '47-17=30'] Exploring Operation: 42+30=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 16, 10, 16, 51 ]
93
[ "16+10=26", "16+51=67", "26+67=93" ]
Current State: 93:[16, 10, 16, 51], Operations: [] Exploring Operation: 16+10=26, Resulting Numbers: [51, 26] Generated Node #2: [51, 26] from Operation: 16+10=26 Current State: 93:[51, 26], Operations: ['16+10=26'] Exploring Operation: 16+51=67, Resulting Numbers: [26, 67] Generated Node #3: [26, 67] from Operation: 16+51=67 Current State: 93:[26, 67], Operations: ['16+10=26', '16+51=67'] Exploring Operation: 26+67=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 50, 82, 75, 12 ]
90
[ "50*12=600", "600/75=8", "82+8=90" ]
Current State: 90:[50, 82, 75, 12], Operations: [] Exploring Operation: 50*12=600, Resulting Numbers: [82, 75, 600] Generated Node #2: [82, 75, 600] from Operation: 50*12=600 Current State: 90:[82, 75, 600], Operations: ['50*12=600'] Exploring Operation: 600/75=8, Resulting Numbers: [82, 8] Generated Node #3: [82, 8] from Operation: 600/75=8 Current State: 90:[82, 8], Operations: ['50*12=600', '600/75=8'] Exploring Operation: 82+8=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 99, 38, 98, 63 ]
49
[ "99-38=61", "63-61=2", "98/2=49" ]
Current State: 49:[99, 38, 98, 63], Operations: [] Exploring Operation: 99-38=61, Resulting Numbers: [98, 63, 61] Generated Node #2: [98, 63, 61] from Operation: 99-38=61 Current State: 49:[98, 63, 61], Operations: ['99-38=61'] Exploring Operation: 63-61=2, Resulting Numbers: [98, 2] Generated Node #3: [98, 2] from Operation: 63-61=2 Current State: 49:[98, 2], Operations: ['99-38=61', '63-61=2'] Exploring Operation: 98/2=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 26, 51, 48, 58 ]
28
[ "26+58=84", "51-48=3", "84/3=28" ]
Current State: 28:[26, 51, 48, 58], Operations: [] Exploring Operation: 26+58=84, Resulting Numbers: [51, 48, 84] Generated Node #2: [51, 48, 84] from Operation: 26+58=84 Current State: 28:[51, 48, 84], Operations: ['26+58=84'] Exploring Operation: 51-48=3, Resulting Numbers: [84, 3] Generated Node #3: [84, 3] from Operation: 51-48=3 Current State: 28:[84, 3], Operations: ['26+58=84', '51-48=3'] Exploring Operation: 84/3=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 28, 19, 32, 70 ]
99
[ "32*70=2240", "2240/28=80", "19+80=99" ]
Current State: 99:[28, 19, 32, 70], Operations: [] Exploring Operation: 32*70=2240, Resulting Numbers: [28, 19, 2240] Generated Node #2: [28, 19, 2240] from Operation: 32*70=2240 Current State: 99:[28, 19, 2240], Operations: ['32*70=2240'] Exploring Operation: 2240/28=80, Resulting Numbers: [19, 80] Generated Node #3: [19, 80] from Operation: 2240/28=80 Current State: 99:[19, 80], Operations: ['32*70=2240', '2240/28=80'] Exploring Operation: 19+80=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 67, 26, 19, 11 ]
57
[ "67+11=78", "78/26=3", "19*3=57" ]
Current State: 57:[67, 26, 19, 11], Operations: [] Exploring Operation: 67+11=78, Resulting Numbers: [26, 19, 78] Generated Node #2: [26, 19, 78] from Operation: 67+11=78 Current State: 57:[26, 19, 78], Operations: ['67+11=78'] Exploring Operation: 78/26=3, Resulting Numbers: [19, 3] Generated Node #3: [19, 3] from Operation: 78/26=3 Current State: 57:[19, 3], Operations: ['67+11=78', '78/26=3'] Exploring Operation: 19*3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 3, 8, 1, 69 ]
26
[ "3*69=207", "1+207=208", "208/8=26" ]
Current State: 26:[3, 8, 1, 69], Operations: [] Exploring Operation: 3*69=207, Resulting Numbers: [8, 1, 207] Generated Node #2: [8, 1, 207] from Operation: 3*69=207 Current State: 26:[8, 1, 207], Operations: ['3*69=207'] Exploring Operation: 1+207=208, Resulting Numbers: [8, 208] Generated Node #3: [8, 208] from Operation: 1+207=208 Current State: 26:[8, 208], Operations: ['3*69=207', '1+207=208'] Exploring Operation: 208/8=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 88, 83, 76, 35 ]
99
[ "88-83=5", "35*5=175", "175-76=99" ]
Current State: 99:[88, 83, 76, 35], Operations: [] Exploring Operation: 88-83=5, Resulting Numbers: [76, 35, 5] Generated Node #2: [76, 35, 5] from Operation: 88-83=5 Current State: 99:[76, 35, 5], Operations: ['88-83=5'] Exploring Operation: 35*5=175, Resulting Numbers: [76, 175] Generated Node #3: [76, 175] from Operation: 35*5=175 Current State: 99:[76, 175], Operations: ['88-83=5', '35*5=175'] Exploring Operation: 175-76=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 46, 89, 89, 44 ]
91
[ "46+44=90", "89/89=1", "90+1=91" ]
Current State: 91:[46, 89, 89, 44], Operations: [] Exploring Operation: 46+44=90, Resulting Numbers: [89, 89, 90] Generated Node #2: [89, 89, 90] from Operation: 46+44=90 Current State: 91:[89, 89, 90], Operations: ['46+44=90'] Exploring Operation: 89/89=1, Resulting Numbers: [90, 1] Generated Node #3: [90, 1] from Operation: 89/89=1 Current State: 91:[90, 1], Operations: ['46+44=90', '89/89=1'] Exploring Operation: 90+1=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 64, 99, 51, 74 ]
12
[ "99-64=35", "74-51=23", "35-23=12" ]
Current State: 12:[64, 99, 51, 74], Operations: [] Exploring Operation: 99-64=35, Resulting Numbers: [51, 74, 35] Generated Node #2: [51, 74, 35] from Operation: 99-64=35 Current State: 12:[51, 74, 35], Operations: ['99-64=35'] Exploring Operation: 74-51=23, Resulting Numbers: [35, 23] Generated Node #3: [35, 23] from Operation: 74-51=23 Current State: 12:[35, 23], Operations: ['99-64=35', '74-51=23'] Exploring Operation: 35-23=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 1, 42, 89, 35 ]
83
[ "42-1=41", "89+35=124", "124-41=83" ]
Current State: 83:[1, 42, 89, 35], Operations: [] Exploring Operation: 42-1=41, Resulting Numbers: [89, 35, 41] Generated Node #2: [89, 35, 41] from Operation: 42-1=41 Current State: 83:[89, 35, 41], Operations: ['42-1=41'] Exploring Operation: 89+35=124, Resulting Numbers: [41, 124] Generated Node #3: [41, 124] from Operation: 89+35=124 Current State: 83:[41, 124], Operations: ['42-1=41', '89+35=124'] Exploring Operation: 124-41=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 1, 11, 39, 76 ]
49
[ "1+11=12", "76-39=37", "12+37=49" ]
Current State: 49:[1, 11, 39, 76], Operations: [] Exploring Operation: 1+11=12, Resulting Numbers: [39, 76, 12] Generated Node #2: [39, 76, 12] from Operation: 1+11=12 Current State: 49:[39, 76, 12], Operations: ['1+11=12'] Exploring Operation: 76-39=37, Resulting Numbers: [12, 37] Generated Node #3: [12, 37] from Operation: 76-39=37 Current State: 49:[12, 37], Operations: ['1+11=12', '76-39=37'] Exploring Operation: 12+37=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 81, 49, 24, 88 ]
66
[ "81+49=130", "88-24=64", "130-64=66" ]
Current State: 66:[81, 49, 24, 88], Operations: [] Exploring Operation: 81+49=130, Resulting Numbers: [24, 88, 130] Generated Node #2: [24, 88, 130] from Operation: 81+49=130 Current State: 66:[24, 88, 130], Operations: ['81+49=130'] Exploring Operation: 88-24=64, Resulting Numbers: [130, 64] Generated Node #3: [130, 64] from Operation: 88-24=64 Current State: 66:[130, 64], Operations: ['81+49=130', '88-24=64'] Exploring Operation: 130-64=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 68, 17, 84, 73 ]
74
[ "68+17=85", "84-73=11", "85-11=74" ]
Current State: 74:[68, 17, 84, 73], Operations: [] Exploring Operation: 68+17=85, Resulting Numbers: [84, 73, 85] Generated Node #2: [84, 73, 85] from Operation: 68+17=85 Current State: 74:[84, 73, 85], Operations: ['68+17=85'] Exploring Operation: 84-73=11, Resulting Numbers: [85, 11] Generated Node #3: [85, 11] from Operation: 84-73=11 Current State: 74:[85, 11], Operations: ['68+17=85', '84-73=11'] Exploring Operation: 85-11=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 67, 30, 63, 69 ]
62
[ "69-63=6", "30/6=5", "67-5=62" ]
Current State: 62:[67, 30, 63, 69], Operations: [] Exploring Operation: 69-63=6, Resulting Numbers: [67, 30, 6] Generated Node #2: [67, 30, 6] from Operation: 69-63=6 Current State: 62:[67, 30, 6], Operations: ['69-63=6'] Exploring Operation: 30/6=5, Resulting Numbers: [67, 5] Generated Node #3: [67, 5] from Operation: 30/6=5 Current State: 62:[67, 5], Operations: ['69-63=6', '30/6=5'] Exploring Operation: 67-5=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 3, 47, 55, 22 ]
52
[ "55-22=33", "3*33=99", "99-47=52" ]
Current State: 52:[3, 47, 55, 22], Operations: [] Exploring Operation: 55-22=33, Resulting Numbers: [3, 47, 33] Generated Node #2: [3, 47, 33] from Operation: 55-22=33 Current State: 52:[3, 47, 33], Operations: ['55-22=33'] Exploring Operation: 3*33=99, Resulting Numbers: [47, 99] Generated Node #3: [47, 99] from Operation: 3*33=99 Current State: 52:[47, 99], Operations: ['55-22=33', '3*33=99'] Exploring Operation: 99-47=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 64, 80, 83, 22 ]
39
[ "64+80=144", "83+22=105", "144-105=39" ]
Current State: 39:[64, 80, 83, 22], Operations: [] Exploring Operation: 64+80=144, Resulting Numbers: [83, 22, 144] Generated Node #2: [83, 22, 144] from Operation: 64+80=144 Current State: 39:[83, 22, 144], Operations: ['64+80=144'] Exploring Operation: 83+22=105, Resulting Numbers: [144, 105] Generated Node #3: [144, 105] from Operation: 83+22=105 Current State: 39:[144, 105], Operations: ['64+80=144', '83+22=105'] Exploring Operation: 144-105=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 97, 68, 4, 15 ]
40
[ "97-68=29", "15-4=11", "29+11=40" ]
Current State: 40:[97, 68, 4, 15], Operations: [] Exploring Operation: 97-68=29, Resulting Numbers: [4, 15, 29] Generated Node #2: [4, 15, 29] from Operation: 97-68=29 Current State: 40:[4, 15, 29], Operations: ['97-68=29'] Exploring Operation: 15-4=11, Resulting Numbers: [29, 11] Generated Node #3: [29, 11] from Operation: 15-4=11 Current State: 40:[29, 11], Operations: ['97-68=29', '15-4=11'] Exploring Operation: 29+11=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 3, 71, 67, 12 ]
11
[ "71-3=68", "67+12=79", "79-68=11" ]
Current State: 11:[3, 71, 67, 12], Operations: [] Exploring Operation: 71-3=68, Resulting Numbers: [67, 12, 68] Generated Node #2: [67, 12, 68] from Operation: 71-3=68 Current State: 11:[67, 12, 68], Operations: ['71-3=68'] Exploring Operation: 67+12=79, Resulting Numbers: [68, 79] Generated Node #3: [68, 79] from Operation: 67+12=79 Current State: 11:[68, 79], Operations: ['71-3=68', '67+12=79'] Exploring Operation: 79-68=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 70, 7, 4, 52 ]
86
[ "7-4=3", "52*3=156", "156-70=86" ]
Current State: 86:[70, 7, 4, 52], Operations: [] Exploring Operation: 7-4=3, Resulting Numbers: [70, 52, 3] Generated Node #2: [70, 52, 3] from Operation: 7-4=3 Current State: 86:[70, 52, 3], Operations: ['7-4=3'] Exploring Operation: 52*3=156, Resulting Numbers: [70, 156] Generated Node #3: [70, 156] from Operation: 52*3=156 Current State: 86:[70, 156], Operations: ['7-4=3', '52*3=156'] Exploring Operation: 156-70=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 18, 2, 69, 69 ]
34
[ "69/69=1", "18-1=17", "2*17=34" ]
Current State: 34:[18, 2, 69, 69], Operations: [] Exploring Operation: 69/69=1, Resulting Numbers: [18, 2, 1] Generated Node #2: [18, 2, 1] from Operation: 69/69=1 Current State: 34:[18, 2, 1], Operations: ['69/69=1'] Exploring Operation: 18-1=17, Resulting Numbers: [2, 17] Generated Node #3: [2, 17] from Operation: 18-1=17 Current State: 34:[2, 17], Operations: ['69/69=1', '18-1=17'] Exploring Operation: 2*17=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 34, 25, 62, 37 ]
34
[ "34+25=59", "62-37=25", "59-25=34" ]
Current State: 34:[34, 25, 62, 37], Operations: [] Exploring Operation: 34+25=59, Resulting Numbers: [62, 37, 59] Generated Node #2: [62, 37, 59] from Operation: 34+25=59 Current State: 34:[62, 37, 59], Operations: ['34+25=59'] Exploring Operation: 62-37=25, Resulting Numbers: [59, 25] Generated Node #3: [59, 25] from Operation: 62-37=25 Current State: 34:[59, 25], Operations: ['34+25=59', '62-37=25'] Exploring Operation: 59-25=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 39, 37, 6, 45 ]
53
[ "39-37=2", "6+45=51", "2+51=53" ]
Current State: 53:[39, 37, 6, 45], Operations: [] Exploring Operation: 39-37=2, Resulting Numbers: [6, 45, 2] Generated Node #2: [6, 45, 2] from Operation: 39-37=2 Current State: 53:[6, 45, 2], Operations: ['39-37=2'] Exploring Operation: 6+45=51, Resulting Numbers: [2, 51] Generated Node #3: [2, 51] from Operation: 6+45=51 Current State: 53:[2, 51], Operations: ['39-37=2', '6+45=51'] Exploring Operation: 2+51=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 8, 42, 91, 14 ]
27
[ "8+42=50", "91-14=77", "77-50=27" ]
Current State: 27:[8, 42, 91, 14], Operations: [] Exploring Operation: 8+42=50, Resulting Numbers: [91, 14, 50] Generated Node #2: [91, 14, 50] from Operation: 8+42=50 Current State: 27:[91, 14, 50], Operations: ['8+42=50'] Exploring Operation: 91-14=77, Resulting Numbers: [50, 77] Generated Node #3: [50, 77] from Operation: 91-14=77 Current State: 27:[50, 77], Operations: ['8+42=50', '91-14=77'] Exploring Operation: 77-50=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 57, 6, 52, 11 ]
71
[ "57-52=5", "6*11=66", "5+66=71" ]
Current State: 71:[57, 6, 52, 11], Operations: [] Exploring Operation: 57-52=5, Resulting Numbers: [6, 11, 5] Generated Node #2: [6, 11, 5] from Operation: 57-52=5 Current State: 71:[6, 11, 5], Operations: ['57-52=5'] Exploring Operation: 6*11=66, Resulting Numbers: [5, 66] Generated Node #3: [5, 66] from Operation: 6*11=66 Current State: 71:[5, 66], Operations: ['57-52=5', '6*11=66'] Exploring Operation: 5+66=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 84, 78, 10, 57 ]
73
[ "84-78=6", "10+57=67", "6+67=73" ]
Current State: 73:[84, 78, 10, 57], Operations: [] Exploring Operation: 84-78=6, Resulting Numbers: [10, 57, 6] Generated Node #2: [10, 57, 6] from Operation: 84-78=6 Current State: 73:[10, 57, 6], Operations: ['84-78=6'] Exploring Operation: 10+57=67, Resulting Numbers: [6, 67] Generated Node #3: [6, 67] from Operation: 10+57=67 Current State: 73:[6, 67], Operations: ['84-78=6', '10+57=67'] Exploring Operation: 6+67=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 45, 70, 21, 55 ]
24
[ "70-55=15", "45/15=3", "21+3=24" ]
Current State: 24:[45, 70, 21, 55], Operations: [] Exploring Operation: 70-55=15, Resulting Numbers: [45, 21, 15] Generated Node #2: [45, 21, 15] from Operation: 70-55=15 Current State: 24:[45, 21, 15], Operations: ['70-55=15'] Exploring Operation: 45/15=3, Resulting Numbers: [21, 3] Generated Node #3: [21, 3] from Operation: 45/15=3 Current State: 24:[21, 3], Operations: ['70-55=15', '45/15=3'] Exploring Operation: 21+3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 22, 4, 14, 22 ]
19
[ "22/22=1", "4+14=18", "1+18=19" ]
Current State: 19:[22, 4, 14, 22], Operations: [] Exploring Operation: 22/22=1, Resulting Numbers: [4, 14, 1] Generated Node #2: [4, 14, 1] from Operation: 22/22=1 Current State: 19:[4, 14, 1], Operations: ['22/22=1'] Exploring Operation: 4+14=18, Resulting Numbers: [1, 18] Generated Node #3: [1, 18] from Operation: 4+14=18 Current State: 19:[1, 18], Operations: ['22/22=1', '4+14=18'] Exploring Operation: 1+18=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 62, 21, 47, 54 ]
18
[ "62+21=83", "47+54=101", "101-83=18" ]
Current State: 18:[62, 21, 47, 54], Operations: [] Exploring Operation: 62+21=83, Resulting Numbers: [47, 54, 83] Generated Node #2: [47, 54, 83] from Operation: 62+21=83 Current State: 18:[47, 54, 83], Operations: ['62+21=83'] Exploring Operation: 47+54=101, Resulting Numbers: [83, 101] Generated Node #3: [83, 101] from Operation: 47+54=101 Current State: 18:[83, 101], Operations: ['62+21=83', '47+54=101'] Exploring Operation: 101-83=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 93, 44, 84, 56 ]
18
[ "93*56=5208", "5208/84=62", "62-44=18" ]
Current State: 18:[93, 44, 84, 56], Operations: [] Exploring Operation: 93*56=5208, Resulting Numbers: [44, 84, 5208] Generated Node #2: [44, 84, 5208] from Operation: 93*56=5208 Current State: 18:[44, 84, 5208], Operations: ['93*56=5208'] Exploring Operation: 5208/84=62, Resulting Numbers: [44, 62] Generated Node #3: [44, 62] from Operation: 5208/84=62 Current State: 18:[44, 62], Operations: ['93*56=5208', '5208/84=62'] Exploring Operation: 62-44=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 71, 38, 71, 4 ]
42
[ "71+38=109", "71-4=67", "109-67=42" ]
Current State: 42:[71, 38, 71, 4], Operations: [] Exploring Operation: 71+38=109, Resulting Numbers: [4, 109] Generated Node #2: [4, 109] from Operation: 71+38=109 Current State: 42:[4, 109], Operations: ['71+38=109'] Exploring Operation: 71-4=67, Resulting Numbers: [109, 67] Generated Node #3: [109, 67] from Operation: 71-4=67 Current State: 42:[109, 67], Operations: ['71+38=109', '71-4=67'] Exploring Operation: 109-67=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 19, 71, 4, 35 ]
50
[ "19+71=90", "4*35=140", "140-90=50" ]
Current State: 50:[19, 71, 4, 35], Operations: [] Exploring Operation: 19+71=90, Resulting Numbers: [4, 35, 90] Generated Node #2: [4, 35, 90] from Operation: 19+71=90 Current State: 50:[4, 35, 90], Operations: ['19+71=90'] Exploring Operation: 4*35=140, Resulting Numbers: [90, 140] Generated Node #3: [90, 140] from Operation: 4*35=140 Current State: 50:[90, 140], Operations: ['19+71=90', '4*35=140'] Exploring Operation: 140-90=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 5, 35, 7, 90 ]
17
[ "90-5=85", "35/7=5", "85/5=17" ]
Current State: 17:[5, 35, 7, 90], Operations: [] Exploring Operation: 90-5=85, Resulting Numbers: [35, 7, 85] Generated Node #2: [35, 7, 85] from Operation: 90-5=85 Current State: 17:[35, 7, 85], Operations: ['90-5=85'] Exploring Operation: 35/7=5, Resulting Numbers: [85, 5] Generated Node #3: [85, 5] from Operation: 35/7=5 Current State: 17:[85, 5], Operations: ['90-5=85', '35/7=5'] Exploring Operation: 85/5=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 16, 67, 29, 92 ]
98
[ "67+29=96", "96/16=6", "92+6=98" ]
Current State: 98:[16, 67, 29, 92], Operations: [] Exploring Operation: 67+29=96, Resulting Numbers: [16, 92, 96] Generated Node #2: [16, 92, 96] from Operation: 67+29=96 Current State: 98:[16, 92, 96], Operations: ['67+29=96'] Exploring Operation: 96/16=6, Resulting Numbers: [92, 6] Generated Node #3: [92, 6] from Operation: 96/16=6 Current State: 98:[92, 6], Operations: ['67+29=96', '96/16=6'] Exploring Operation: 92+6=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 4, 76, 88, 83 ]
95
[ "76/4=19", "88-83=5", "19*5=95" ]
Current State: 95:[4, 76, 88, 83], Operations: [] Exploring Operation: 76/4=19, Resulting Numbers: [88, 83, 19] Generated Node #2: [88, 83, 19] from Operation: 76/4=19 Current State: 95:[88, 83, 19], Operations: ['76/4=19'] Exploring Operation: 88-83=5, Resulting Numbers: [19, 5] Generated Node #3: [19, 5] from Operation: 88-83=5 Current State: 95:[19, 5], Operations: ['76/4=19', '88-83=5'] Exploring Operation: 19*5=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 71, 82, 15, 43 ]
69
[ "82-71=11", "15+43=58", "11+58=69" ]
Current State: 69:[71, 82, 15, 43], Operations: [] Exploring Operation: 82-71=11, Resulting Numbers: [15, 43, 11] Generated Node #2: [15, 43, 11] from Operation: 82-71=11 Current State: 69:[15, 43, 11], Operations: ['82-71=11'] Exploring Operation: 15+43=58, Resulting Numbers: [11, 58] Generated Node #3: [11, 58] from Operation: 15+43=58 Current State: 69:[11, 58], Operations: ['82-71=11', '15+43=58'] Exploring Operation: 11+58=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 71, 51, 45, 87 ]
10
[ "71+51=122", "45+87=132", "132-122=10" ]
Current State: 10:[71, 51, 45, 87], Operations: [] Exploring Operation: 71+51=122, Resulting Numbers: [45, 87, 122] Generated Node #2: [45, 87, 122] from Operation: 71+51=122 Current State: 10:[45, 87, 122], Operations: ['71+51=122'] Exploring Operation: 45+87=132, Resulting Numbers: [122, 132] Generated Node #3: [122, 132] from Operation: 45+87=132 Current State: 10:[122, 132], Operations: ['71+51=122', '45+87=132'] Exploring Operation: 132-122=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 93, 54, 36, 39 ]
85
[ "39-36=3", "93/3=31", "54+31=85" ]
Current State: 85:[93, 54, 36, 39], Operations: [] Exploring Operation: 39-36=3, Resulting Numbers: [93, 54, 3] Generated Node #2: [93, 54, 3] from Operation: 39-36=3 Current State: 85:[93, 54, 3], Operations: ['39-36=3'] Exploring Operation: 93/3=31, Resulting Numbers: [54, 31] Generated Node #3: [54, 31] from Operation: 93/3=31 Current State: 85:[54, 31], Operations: ['39-36=3', '93/3=31'] Exploring Operation: 54+31=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 20, 71, 38, 69 ]
16
[ "20+71=91", "38+69=107", "107-91=16" ]
Current State: 16:[20, 71, 38, 69], Operations: [] Exploring Operation: 20+71=91, Resulting Numbers: [38, 69, 91] Generated Node #2: [38, 69, 91] from Operation: 20+71=91 Current State: 16:[38, 69, 91], Operations: ['20+71=91'] Exploring Operation: 38+69=107, Resulting Numbers: [91, 107] Generated Node #3: [91, 107] from Operation: 38+69=107 Current State: 16:[91, 107], Operations: ['20+71=91', '38+69=107'] Exploring Operation: 107-91=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 5, 31, 2, 83 ]
42
[ "5*2=10", "83-31=52", "52-10=42" ]
Current State: 42:[5, 31, 2, 83], Operations: [] Exploring Operation: 5*2=10, Resulting Numbers: [31, 83, 10] Generated Node #2: [31, 83, 10] from Operation: 5*2=10 Current State: 42:[31, 83, 10], Operations: ['5*2=10'] Exploring Operation: 83-31=52, Resulting Numbers: [10, 52] Generated Node #3: [10, 52] from Operation: 83-31=52 Current State: 42:[10, 52], Operations: ['5*2=10', '83-31=52'] Exploring Operation: 52-10=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 41, 4, 26, 90 ]
24
[ "41+4=45", "90/45=2", "26-2=24" ]
Current State: 24:[41, 4, 26, 90], Operations: [] Exploring Operation: 41+4=45, Resulting Numbers: [26, 90, 45] Generated Node #2: [26, 90, 45] from Operation: 41+4=45 Current State: 24:[26, 90, 45], Operations: ['41+4=45'] Exploring Operation: 90/45=2, Resulting Numbers: [26, 2] Generated Node #3: [26, 2] from Operation: 90/45=2 Current State: 24:[26, 2], Operations: ['41+4=45', '90/45=2'] Exploring Operation: 26-2=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 35, 46, 57, 88 ]
64
[ "35+46=81", "57+88=145", "145-81=64" ]
Current State: 64:[35, 46, 57, 88], Operations: [] Exploring Operation: 35+46=81, Resulting Numbers: [57, 88, 81] Generated Node #2: [57, 88, 81] from Operation: 35+46=81 Current State: 64:[57, 88, 81], Operations: ['35+46=81'] Exploring Operation: 57+88=145, Resulting Numbers: [81, 145] Generated Node #3: [81, 145] from Operation: 57+88=145 Current State: 64:[81, 145], Operations: ['35+46=81', '57+88=145'] Exploring Operation: 145-81=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 83, 23, 49, 63 ]
92
[ "83+23=106", "63-49=14", "106-14=92" ]
Current State: 92:[83, 23, 49, 63], Operations: [] Exploring Operation: 83+23=106, Resulting Numbers: [49, 63, 106] Generated Node #2: [49, 63, 106] from Operation: 83+23=106 Current State: 92:[49, 63, 106], Operations: ['83+23=106'] Exploring Operation: 63-49=14, Resulting Numbers: [106, 14] Generated Node #3: [106, 14] from Operation: 63-49=14 Current State: 92:[106, 14], Operations: ['83+23=106', '63-49=14'] Exploring Operation: 106-14=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 6, 98, 95, 16 ]
76
[ "98+16=114", "114/6=19", "95-19=76" ]
Current State: 76:[6, 98, 95, 16], Operations: [] Exploring Operation: 98+16=114, Resulting Numbers: [6, 95, 114] Generated Node #2: [6, 95, 114] from Operation: 98+16=114 Current State: 76:[6, 95, 114], Operations: ['98+16=114'] Exploring Operation: 114/6=19, Resulting Numbers: [95, 19] Generated Node #3: [95, 19] from Operation: 114/6=19 Current State: 76:[95, 19], Operations: ['98+16=114', '114/6=19'] Exploring Operation: 95-19=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 28, 69, 29, 6 ]
63
[ "29-28=1", "69-6=63", "1*63=63" ]
Current State: 63:[28, 69, 29, 6], Operations: [] Exploring Operation: 29-28=1, Resulting Numbers: [69, 6, 1] Generated Node #2: [69, 6, 1] from Operation: 29-28=1 Current State: 63:[69, 6, 1], Operations: ['29-28=1'] Exploring Operation: 69-6=63, Resulting Numbers: [1, 63] Generated Node #3: [1, 63] from Operation: 69-6=63 Current State: 63:[1, 63], Operations: ['29-28=1', '69-6=63'] Exploring Operation: 1*63=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 77, 28, 81, 24 ]
31
[ "81-77=4", "28/4=7", "24+7=31" ]
Current State: 31:[77, 28, 81, 24], Operations: [] Exploring Operation: 81-77=4, Resulting Numbers: [28, 24, 4] Generated Node #2: [28, 24, 4] from Operation: 81-77=4 Current State: 31:[28, 24, 4], Operations: ['81-77=4'] Exploring Operation: 28/4=7, Resulting Numbers: [24, 7] Generated Node #3: [24, 7] from Operation: 28/4=7 Current State: 31:[24, 7], Operations: ['81-77=4', '28/4=7'] Exploring Operation: 24+7=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 60, 89, 40, 80 ]
59
[ "60*40=2400", "2400/80=30", "89-30=59" ]
Current State: 59:[60, 89, 40, 80], Operations: [] Exploring Operation: 60*40=2400, Resulting Numbers: [89, 80, 2400] Generated Node #2: [89, 80, 2400] from Operation: 60*40=2400 Current State: 59:[89, 80, 2400], Operations: ['60*40=2400'] Exploring Operation: 2400/80=30, Resulting Numbers: [89, 30] Generated Node #3: [89, 30] from Operation: 2400/80=30 Current State: 59:[89, 30], Operations: ['60*40=2400', '2400/80=30'] Exploring Operation: 89-30=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 14, 24, 64, 18 ]
36
[ "24-14=10", "64-18=46", "46-10=36" ]
Current State: 36:[14, 24, 64, 18], Operations: [] Exploring Operation: 24-14=10, Resulting Numbers: [64, 18, 10] Generated Node #2: [64, 18, 10] from Operation: 24-14=10 Current State: 36:[64, 18, 10], Operations: ['24-14=10'] Exploring Operation: 64-18=46, Resulting Numbers: [10, 46] Generated Node #3: [10, 46] from Operation: 64-18=46 Current State: 36:[10, 46], Operations: ['24-14=10', '64-18=46'] Exploring Operation: 46-10=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 34, 20, 22, 83 ]
93
[ "22*83=1826", "34+1826=1860", "1860/20=93" ]
Current State: 93:[34, 20, 22, 83], Operations: [] Exploring Operation: 22*83=1826, Resulting Numbers: [34, 20, 1826] Generated Node #2: [34, 20, 1826] from Operation: 22*83=1826 Current State: 93:[34, 20, 1826], Operations: ['22*83=1826'] Exploring Operation: 34+1826=1860, Resulting Numbers: [20, 1860] Generated Node #3: [20, 1860] from Operation: 34+1826=1860 Current State: 93:[20, 1860], Operations: ['22*83=1826', '34+1826=1860'] Exploring Operation: 1860/20=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 12, 18, 29, 18 ]
26
[ "18-12=6", "18/6=3", "29-3=26" ]
Current State: 26:[12, 18, 29, 18], Operations: [] Exploring Operation: 18-12=6, Resulting Numbers: [29, 6] Generated Node #2: [29, 6] from Operation: 18-12=6 Current State: 26:[29, 6], Operations: ['18-12=6'] Exploring Operation: 18/6=3, Resulting Numbers: [29, 3] Generated Node #3: [29, 3] from Operation: 18/6=3 Current State: 26:[29, 3], Operations: ['18-12=6', '18/6=3'] Exploring Operation: 29-3=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 82, 66, 69, 37 ]
73
[ "82+66=148", "148/37=4", "69+4=73" ]
Current State: 73:[82, 66, 69, 37], Operations: [] Exploring Operation: 82+66=148, Resulting Numbers: [69, 37, 148] Generated Node #2: [69, 37, 148] from Operation: 82+66=148 Current State: 73:[69, 37, 148], Operations: ['82+66=148'] Exploring Operation: 148/37=4, Resulting Numbers: [69, 4] Generated Node #3: [69, 4] from Operation: 148/37=4 Current State: 73:[69, 4], Operations: ['82+66=148', '148/37=4'] Exploring Operation: 69+4=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 72, 41, 40, 82 ]
73
[ "72-41=31", "82-40=42", "31+42=73" ]
Current State: 73:[72, 41, 40, 82], Operations: [] Exploring Operation: 72-41=31, Resulting Numbers: [40, 82, 31] Generated Node #2: [40, 82, 31] from Operation: 72-41=31 Current State: 73:[40, 82, 31], Operations: ['72-41=31'] Exploring Operation: 82-40=42, Resulting Numbers: [31, 42] Generated Node #3: [31, 42] from Operation: 82-40=42 Current State: 73:[31, 42], Operations: ['72-41=31', '82-40=42'] Exploring Operation: 31+42=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 4, 38, 8, 96 ]
20
[ "8/4=2", "38*2=76", "96-76=20" ]
Current State: 20:[4, 38, 8, 96], Operations: [] Exploring Operation: 8/4=2, Resulting Numbers: [38, 96, 2] Generated Node #2: [38, 96, 2] from Operation: 8/4=2 Current State: 20:[38, 96, 2], Operations: ['8/4=2'] Exploring Operation: 38*2=76, Resulting Numbers: [96, 76] Generated Node #3: [96, 76] from Operation: 38*2=76 Current State: 20:[96, 76], Operations: ['8/4=2', '38*2=76'] Exploring Operation: 96-76=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 12, 89, 23, 2 ]
68
[ "89+23=112", "112/2=56", "12+56=68" ]
Current State: 68:[12, 89, 23, 2], Operations: [] Exploring Operation: 89+23=112, Resulting Numbers: [12, 2, 112] Generated Node #2: [12, 2, 112] from Operation: 89+23=112 Current State: 68:[12, 2, 112], Operations: ['89+23=112'] Exploring Operation: 112/2=56, Resulting Numbers: [12, 56] Generated Node #3: [12, 56] from Operation: 112/2=56 Current State: 68:[12, 56], Operations: ['89+23=112', '112/2=56'] Exploring Operation: 12+56=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 39, 50, 4, 27 ]
20
[ "50-39=11", "4+27=31", "31-11=20" ]
Current State: 20:[39, 50, 4, 27], Operations: [] Exploring Operation: 50-39=11, Resulting Numbers: [4, 27, 11] Generated Node #2: [4, 27, 11] from Operation: 50-39=11 Current State: 20:[4, 27, 11], Operations: ['50-39=11'] Exploring Operation: 4+27=31, Resulting Numbers: [11, 31] Generated Node #3: [11, 31] from Operation: 4+27=31 Current State: 20:[11, 31], Operations: ['50-39=11', '4+27=31'] Exploring Operation: 31-11=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 19, 50, 49, 4 ]
95
[ "50-49=1", "4+1=5", "19*5=95" ]
Current State: 95:[19, 50, 49, 4], Operations: [] Exploring Operation: 50-49=1, Resulting Numbers: [19, 4, 1] Generated Node #2: [19, 4, 1] from Operation: 50-49=1 Current State: 95:[19, 4, 1], Operations: ['50-49=1'] Exploring Operation: 4+1=5, Resulting Numbers: [19, 5] Generated Node #3: [19, 5] from Operation: 4+1=5 Current State: 95:[19, 5], Operations: ['50-49=1', '4+1=5'] Exploring Operation: 19*5=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 4, 37, 30, 84 ]
16
[ "37-30=7", "84/7=12", "4+12=16" ]
Current State: 16:[4, 37, 30, 84], Operations: [] Exploring Operation: 37-30=7, Resulting Numbers: [4, 84, 7] Generated Node #2: [4, 84, 7] from Operation: 37-30=7 Current State: 16:[4, 84, 7], Operations: ['37-30=7'] Exploring Operation: 84/7=12, Resulting Numbers: [4, 12] Generated Node #3: [4, 12] from Operation: 84/7=12 Current State: 16:[4, 12], Operations: ['37-30=7', '84/7=12'] Exploring Operation: 4+12=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 95, 15, 40, 56 ]
95
[ "15+40=55", "56-55=1", "95*1=95" ]
Current State: 95:[95, 15, 40, 56], Operations: [] Exploring Operation: 15+40=55, Resulting Numbers: [95, 56, 55] Generated Node #2: [95, 56, 55] from Operation: 15+40=55 Current State: 95:[95, 56, 55], Operations: ['15+40=55'] Exploring Operation: 56-55=1, Resulting Numbers: [95, 1] Generated Node #3: [95, 1] from Operation: 56-55=1 Current State: 95:[95, 1], Operations: ['15+40=55', '56-55=1'] Exploring Operation: 95*1=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 7, 70, 28, 31 ]
95
[ "7*28=196", "70+31=101", "196-101=95" ]
Current State: 95:[7, 70, 28, 31], Operations: [] Exploring Operation: 7*28=196, Resulting Numbers: [70, 31, 196] Generated Node #2: [70, 31, 196] from Operation: 7*28=196 Current State: 95:[70, 31, 196], Operations: ['7*28=196'] Exploring Operation: 70+31=101, Resulting Numbers: [196, 101] Generated Node #3: [196, 101] from Operation: 70+31=101 Current State: 95:[196, 101], Operations: ['7*28=196', '70+31=101'] Exploring Operation: 196-101=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 87, 79, 40, 40 ]
87
[ "79-40=39", "40-39=1", "87*1=87" ]
Current State: 87:[87, 79, 40, 40], Operations: [] Exploring Operation: 79-40=39, Resulting Numbers: [87, 39] Generated Node #2: [87, 39] from Operation: 79-40=39 Current State: 87:[87, 39], Operations: ['79-40=39'] Exploring Operation: 40-39=1, Resulting Numbers: [87, 1] Generated Node #3: [87, 1] from Operation: 40-39=1 Current State: 87:[87, 1], Operations: ['79-40=39', '40-39=1'] Exploring Operation: 87*1=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 14, 70, 33, 96 ]
45
[ "14+70=84", "33+96=129", "129-84=45" ]
Current State: 45:[14, 70, 33, 96], Operations: [] Exploring Operation: 14+70=84, Resulting Numbers: [33, 96, 84] Generated Node #2: [33, 96, 84] from Operation: 14+70=84 Current State: 45:[33, 96, 84], Operations: ['14+70=84'] Exploring Operation: 33+96=129, Resulting Numbers: [84, 129] Generated Node #3: [84, 129] from Operation: 33+96=129 Current State: 45:[84, 129], Operations: ['14+70=84', '33+96=129'] Exploring Operation: 129-84=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 36, 94, 32, 92 ]
20
[ "94-92=2", "32/2=16", "36-16=20" ]
Current State: 20:[36, 94, 32, 92], Operations: [] Exploring Operation: 94-92=2, Resulting Numbers: [36, 32, 2] Generated Node #2: [36, 32, 2] from Operation: 94-92=2 Current State: 20:[36, 32, 2], Operations: ['94-92=2'] Exploring Operation: 32/2=16, Resulting Numbers: [36, 16] Generated Node #3: [36, 16] from Operation: 32/2=16 Current State: 20:[36, 16], Operations: ['94-92=2', '32/2=16'] Exploring Operation: 36-16=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 62, 92, 90, 32 ]
88
[ "92-62=30", "90-32=58", "30+58=88" ]
Current State: 88:[62, 92, 90, 32], Operations: [] Exploring Operation: 92-62=30, Resulting Numbers: [90, 32, 30] Generated Node #2: [90, 32, 30] from Operation: 92-62=30 Current State: 88:[90, 32, 30], Operations: ['92-62=30'] Exploring Operation: 90-32=58, Resulting Numbers: [30, 58] Generated Node #3: [30, 58] from Operation: 90-32=58 Current State: 88:[30, 58], Operations: ['92-62=30', '90-32=58'] Exploring Operation: 30+58=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 5, 92, 49, 88 ]
69
[ "92-88=4", "5*4=20", "49+20=69" ]
Current State: 69:[5, 92, 49, 88], Operations: [] Exploring Operation: 92-88=4, Resulting Numbers: [5, 49, 4] Generated Node #2: [5, 49, 4] from Operation: 92-88=4 Current State: 69:[5, 49, 4], Operations: ['92-88=4'] Exploring Operation: 5*4=20, Resulting Numbers: [49, 20] Generated Node #3: [49, 20] from Operation: 5*4=20 Current State: 69:[49, 20], Operations: ['92-88=4', '5*4=20'] Exploring Operation: 49+20=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 57, 45, 78, 63 ]
15
[ "78-57=21", "45*21=945", "945/63=15" ]
Current State: 15:[57, 45, 78, 63], Operations: [] Exploring Operation: 78-57=21, Resulting Numbers: [45, 63, 21] Generated Node #2: [45, 63, 21] from Operation: 78-57=21 Current State: 15:[45, 63, 21], Operations: ['78-57=21'] Exploring Operation: 45*21=945, Resulting Numbers: [63, 945] Generated Node #3: [63, 945] from Operation: 45*21=945 Current State: 15:[63, 945], Operations: ['78-57=21', '45*21=945'] Exploring Operation: 945/63=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 33, 79, 40, 35 ]
99
[ "35-33=2", "40/2=20", "79+20=99" ]
Current State: 99:[33, 79, 40, 35], Operations: [] Exploring Operation: 35-33=2, Resulting Numbers: [79, 40, 2] Generated Node #2: [79, 40, 2] from Operation: 35-33=2 Current State: 99:[79, 40, 2], Operations: ['35-33=2'] Exploring Operation: 40/2=20, Resulting Numbers: [79, 20] Generated Node #3: [79, 20] from Operation: 40/2=20 Current State: 99:[79, 20], Operations: ['35-33=2', '40/2=20'] Exploring Operation: 79+20=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 2, 60, 12, 58 ]
43
[ "58/2=29", "60+12=72", "72-29=43" ]
Current State: 43:[2, 60, 12, 58], Operations: [] Exploring Operation: 58/2=29, Resulting Numbers: [60, 12, 29] Generated Node #2: [60, 12, 29] from Operation: 58/2=29 Current State: 43:[60, 12, 29], Operations: ['58/2=29'] Exploring Operation: 60+12=72, Resulting Numbers: [29, 72] Generated Node #3: [29, 72] from Operation: 60+12=72 Current State: 43:[29, 72], Operations: ['58/2=29', '60+12=72'] Exploring Operation: 72-29=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 34, 94, 36, 53 ]
47
[ "53-36=17", "34/17=2", "94/2=47" ]
Current State: 47:[34, 94, 36, 53], Operations: [] Exploring Operation: 53-36=17, Resulting Numbers: [34, 94, 17] Generated Node #2: [34, 94, 17] from Operation: 53-36=17 Current State: 47:[34, 94, 17], Operations: ['53-36=17'] Exploring Operation: 34/17=2, Resulting Numbers: [94, 2] Generated Node #3: [94, 2] from Operation: 34/17=2 Current State: 47:[94, 2], Operations: ['53-36=17', '34/17=2'] Exploring Operation: 94/2=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 92, 7, 19, 80 ]
95
[ "92-7=85", "85-80=5", "19*5=95" ]
Current State: 95:[92, 7, 19, 80], Operations: [] Exploring Operation: 92-7=85, Resulting Numbers: [19, 80, 85] Generated Node #2: [19, 80, 85] from Operation: 92-7=85 Current State: 95:[19, 80, 85], Operations: ['92-7=85'] Exploring Operation: 85-80=5, Resulting Numbers: [19, 5] Generated Node #3: [19, 5] from Operation: 85-80=5 Current State: 95:[19, 5], Operations: ['92-7=85', '85-80=5'] Exploring Operation: 19*5=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 73, 35, 93, 65 ]
10
[ "73-35=38", "93-65=28", "38-28=10" ]
Current State: 10:[73, 35, 93, 65], Operations: [] Exploring Operation: 73-35=38, Resulting Numbers: [93, 65, 38] Generated Node #2: [93, 65, 38] from Operation: 73-35=38 Current State: 10:[93, 65, 38], Operations: ['73-35=38'] Exploring Operation: 93-65=28, Resulting Numbers: [38, 28] Generated Node #3: [38, 28] from Operation: 93-65=28 Current State: 10:[38, 28], Operations: ['73-35=38', '93-65=28'] Exploring Operation: 38-28=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 38, 24, 72, 36 ]
12
[ "38-24=14", "72/36=2", "14-2=12" ]
Current State: 12:[38, 24, 72, 36], Operations: [] Exploring Operation: 38-24=14, Resulting Numbers: [72, 36, 14] Generated Node #2: [72, 36, 14] from Operation: 38-24=14 Current State: 12:[72, 36, 14], Operations: ['38-24=14'] Exploring Operation: 72/36=2, Resulting Numbers: [14, 2] Generated Node #3: [14, 2] from Operation: 72/36=2 Current State: 12:[14, 2], Operations: ['38-24=14', '72/36=2'] Exploring Operation: 14-2=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 56, 14, 30, 22 ]
34
[ "56-14=42", "30-22=8", "42-8=34" ]
Current State: 34:[56, 14, 30, 22], Operations: [] Exploring Operation: 56-14=42, Resulting Numbers: [30, 22, 42] Generated Node #2: [30, 22, 42] from Operation: 56-14=42 Current State: 34:[30, 22, 42], Operations: ['56-14=42'] Exploring Operation: 30-22=8, Resulting Numbers: [42, 8] Generated Node #3: [42, 8] from Operation: 30-22=8 Current State: 34:[42, 8], Operations: ['56-14=42', '30-22=8'] Exploring Operation: 42-8=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 51, 6, 6, 52 ]
30
[ "51+6=57", "57-52=5", "6*5=30" ]
Current State: 30:[51, 6, 6, 52], Operations: [] Exploring Operation: 51+6=57, Resulting Numbers: [52, 57] Generated Node #2: [52, 57] from Operation: 51+6=57 Current State: 30:[52, 57], Operations: ['51+6=57'] Exploring Operation: 57-52=5, Resulting Numbers: [5] 5,30 equal: Goal Reached Exploring Operation: 6*5=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 71, 8, 19, 21 ]
22
[ "71-8=63", "63/21=3", "19+3=22" ]
Current State: 22:[71, 8, 19, 21], Operations: [] Exploring Operation: 71-8=63, Resulting Numbers: [19, 21, 63] Generated Node #2: [19, 21, 63] from Operation: 71-8=63 Current State: 22:[19, 21, 63], Operations: ['71-8=63'] Exploring Operation: 63/21=3, Resulting Numbers: [19, 3] Generated Node #3: [19, 3] from Operation: 63/21=3 Current State: 22:[19, 3], Operations: ['71-8=63', '63/21=3'] Exploring Operation: 19+3=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 36, 7, 96, 98 ]
25
[ "98-96=2", "36/2=18", "7+18=25" ]
Current State: 25:[36, 7, 96, 98], Operations: [] Exploring Operation: 98-96=2, Resulting Numbers: [36, 7, 2] Generated Node #2: [36, 7, 2] from Operation: 98-96=2 Current State: 25:[36, 7, 2], Operations: ['98-96=2'] Exploring Operation: 36/2=18, Resulting Numbers: [7, 18] Generated Node #3: [7, 18] from Operation: 36/2=18 Current State: 25:[7, 18], Operations: ['98-96=2', '36/2=18'] Exploring Operation: 7+18=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4