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
[ 15, 78, 81, 65 ]
77
[ "15+78=93", "81-65=16", "93-16=77" ]
Current State: 77:[15, 78, 81, 65], Operations: [] Exploring Operation: 15+78=93, Resulting Numbers: [81, 65, 93] Generated Node #2: [81, 65, 93] from Operation: 15+78=93 Current State: 77:[81, 65, 93], Operations: ['15+78=93'] Exploring Operation: 81-65=16, Resulting Numbers: [93, 16] Generated Node #3: [93, 16] from Operation: 81-65=16 Current State: 77:[93, 16], Operations: ['15+78=93', '81-65=16'] Exploring Operation: 93-16=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 91, 4, 11, 59 ]
96
[ "59-4=55", "55/11=5", "91+5=96" ]
Current State: 96:[91, 4, 11, 59], Operations: [] Exploring Operation: 59-4=55, Resulting Numbers: [91, 11, 55] Generated Node #2: [91, 11, 55] from Operation: 59-4=55 Current State: 96:[91, 11, 55], Operations: ['59-4=55'] Exploring Operation: 55/11=5, Resulting Numbers: [91, 5] Generated Node #3: [91, 5] from Operation: 55/11=5 Current State: 96:[91, 5], Operations: ['59-4=55', '55/11=5'] Exploring Operation: 91+5=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 55, 60, 24, 11 ]
11
[ "55*24=1320", "1320/60=22", "22-11=11" ]
Current State: 11:[55, 60, 24, 11], Operations: [] Exploring Operation: 55*24=1320, Resulting Numbers: [60, 11, 1320] Generated Node #2: [60, 11, 1320] from Operation: 55*24=1320 Current State: 11:[60, 11, 1320], Operations: ['55*24=1320'] Exploring Operation: 1320/60=22, Resulting Numbers: [11, 22] Generated Node #3: [11, 22] from Operation: 1320/60=22 Current State: 11:[11, 22], Operations: ['55*24=1320', '1320/60=22'] Exploring Operation: 22-11=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 49, 2, 4, 27 ]
95
[ "27-4=23", "2*23=46", "49+46=95" ]
Current State: 95:[49, 2, 4, 27], Operations: [] Exploring Operation: 27-4=23, Resulting Numbers: [49, 2, 23] Generated Node #2: [49, 2, 23] from Operation: 27-4=23 Current State: 95:[49, 2, 23], Operations: ['27-4=23'] Exploring Operation: 2*23=46, Resulting Numbers: [49, 46] Generated Node #3: [49, 46] from Operation: 2*23=46 Current State: 95:[49, 46], Operations: ['27-4=23', '2*23=46'] Exploring Operation: 49+46=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 76, 22, 61, 70 ]
24
[ "22*70=1540", "1540-76=1464", "1464/61=24" ]
Current State: 24:[76, 22, 61, 70], Operations: [] Exploring Operation: 22*70=1540, Resulting Numbers: [76, 61, 1540] Generated Node #2: [76, 61, 1540] from Operation: 22*70=1540 Current State: 24:[76, 61, 1540], Operations: ['22*70=1540'] Exploring Operation: 1540-76=1464, Resulting Numbers: [61, 1464] Generated Node #3: [61, 1464] from Operation: 1540-76=1464 Current State: 24:[61, 1464], Operations: ['22*70=1540', '1540-76=1464'] Exploring Operation: 1464/61=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 67, 25, 98, 14 ]
49
[ "67-25=42", "98/14=7", "42+7=49" ]
Current State: 49:[67, 25, 98, 14], Operations: [] Exploring Operation: 67-25=42, Resulting Numbers: [98, 14, 42] Generated Node #2: [98, 14, 42] from Operation: 67-25=42 Current State: 49:[98, 14, 42], Operations: ['67-25=42'] Exploring Operation: 98/14=7, Resulting Numbers: [42, 7] Generated Node #3: [42, 7] from Operation: 98/14=7 Current State: 49:[42, 7], Operations: ['67-25=42', '98/14=7'] Exploring Operation: 42+7=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 44, 9, 6, 4 ]
75
[ "44*6=264", "264/4=66", "9+66=75" ]
Current State: 75:[44, 9, 6, 4], Operations: [] Exploring Operation: 44*6=264, Resulting Numbers: [9, 4, 264] Generated Node #2: [9, 4, 264] from Operation: 44*6=264 Current State: 75:[9, 4, 264], Operations: ['44*6=264'] Exploring Operation: 264/4=66, Resulting Numbers: [9, 66] Generated Node #3: [9, 66] from Operation: 264/4=66 Current State: 75:[9, 66], Operations: ['44*6=264', '264/4=66'] Exploring Operation: 9+66=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 32, 40, 68, 6 ]
50
[ "40+68=108", "108/6=18", "32+18=50" ]
Current State: 50:[32, 40, 68, 6], Operations: [] Exploring Operation: 40+68=108, Resulting Numbers: [32, 6, 108] Generated Node #2: [32, 6, 108] from Operation: 40+68=108 Current State: 50:[32, 6, 108], Operations: ['40+68=108'] Exploring Operation: 108/6=18, Resulting Numbers: [32, 18] Generated Node #3: [32, 18] from Operation: 108/6=18 Current State: 50:[32, 18], Operations: ['40+68=108', '108/6=18'] Exploring Operation: 32+18=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 25, 2, 38, 72 ]
66
[ "72-25=47", "38/2=19", "47+19=66" ]
Current State: 66:[25, 2, 38, 72], Operations: [] Exploring Operation: 72-25=47, Resulting Numbers: [2, 38, 47] Generated Node #2: [2, 38, 47] from Operation: 72-25=47 Current State: 66:[2, 38, 47], Operations: ['72-25=47'] Exploring Operation: 38/2=19, Resulting Numbers: [47, 19] Generated Node #3: [47, 19] from Operation: 38/2=19 Current State: 66:[47, 19], Operations: ['72-25=47', '38/2=19'] Exploring Operation: 47+19=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 52, 11, 46, 18 ]
100
[ "52+46=98", "11*18=198", "198-98=100" ]
Current State: 100:[52, 11, 46, 18], Operations: [] Exploring Operation: 52+46=98, Resulting Numbers: [11, 18, 98] Generated Node #2: [11, 18, 98] from Operation: 52+46=98 Current State: 100:[11, 18, 98], Operations: ['52+46=98'] Exploring Operation: 11*18=198, Resulting Numbers: [98, 198] Generated Node #3: [98, 198] from Operation: 11*18=198 Current State: 100:[98, 198], Operations: ['52+46=98', '11*18=198'] Exploring Operation: 198-98=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 4, 82, 90, 83 ]
93
[ "4+82=86", "90-83=7", "86+7=93" ]
Current State: 93:[4, 82, 90, 83], Operations: [] Exploring Operation: 4+82=86, Resulting Numbers: [90, 83, 86] Generated Node #2: [90, 83, 86] from Operation: 4+82=86 Current State: 93:[90, 83, 86], Operations: ['4+82=86'] Exploring Operation: 90-83=7, Resulting Numbers: [86, 7] Generated Node #3: [86, 7] from Operation: 90-83=7 Current State: 93:[86, 7], Operations: ['4+82=86', '90-83=7'] Exploring Operation: 86+7=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 5, 85, 40, 13 ]
64
[ "40/5=8", "85-13=72", "72-8=64" ]
Current State: 64:[5, 85, 40, 13], Operations: [] Exploring Operation: 40/5=8, Resulting Numbers: [85, 13, 8] Generated Node #2: [85, 13, 8] from Operation: 40/5=8 Current State: 64:[85, 13, 8], Operations: ['40/5=8'] Exploring Operation: 85-13=72, Resulting Numbers: [8, 72] Generated Node #3: [8, 72] from Operation: 85-13=72 Current State: 64:[8, 72], Operations: ['40/5=8', '85-13=72'] Exploring Operation: 72-8=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 34, 78, 13, 24 ]
75
[ "34+78=112", "13+24=37", "112-37=75" ]
Current State: 75:[34, 78, 13, 24], Operations: [] Exploring Operation: 34+78=112, Resulting Numbers: [13, 24, 112] Generated Node #2: [13, 24, 112] from Operation: 34+78=112 Current State: 75:[13, 24, 112], Operations: ['34+78=112'] Exploring Operation: 13+24=37, Resulting Numbers: [112, 37] Generated Node #3: [112, 37] from Operation: 13+24=37 Current State: 75:[112, 37], Operations: ['34+78=112', '13+24=37'] Exploring Operation: 112-37=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 46, 8, 84, 15 ]
10
[ "46+84=130", "8*15=120", "130-120=10" ]
Current State: 10:[46, 8, 84, 15], Operations: [] Exploring Operation: 46+84=130, Resulting Numbers: [8, 15, 130] Generated Node #2: [8, 15, 130] from Operation: 46+84=130 Current State: 10:[8, 15, 130], Operations: ['46+84=130'] Exploring Operation: 8*15=120, Resulting Numbers: [130, 120] Generated Node #3: [130, 120] from Operation: 8*15=120 Current State: 10:[130, 120], Operations: ['46+84=130', '8*15=120'] Exploring Operation: 130-120=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 12, 60, 96, 51 ]
75
[ "12+60=72", "96+51=147", "147-72=75" ]
Current State: 75:[12, 60, 96, 51], Operations: [] Exploring Operation: 12+60=72, Resulting Numbers: [96, 51, 72] Generated Node #2: [96, 51, 72] from Operation: 12+60=72 Current State: 75:[96, 51, 72], Operations: ['12+60=72'] Exploring Operation: 96+51=147, Resulting Numbers: [72, 147] Generated Node #3: [72, 147] from Operation: 96+51=147 Current State: 75:[72, 147], Operations: ['12+60=72', '96+51=147'] Exploring Operation: 147-72=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 9, 84, 26, 90 ]
48
[ "90/9=10", "84-26=58", "58-10=48" ]
Current State: 48:[9, 84, 26, 90], Operations: [] Exploring Operation: 90/9=10, Resulting Numbers: [84, 26, 10] Generated Node #2: [84, 26, 10] from Operation: 90/9=10 Current State: 48:[84, 26, 10], Operations: ['90/9=10'] Exploring Operation: 84-26=58, Resulting Numbers: [10, 58] Generated Node #3: [10, 58] from Operation: 84-26=58 Current State: 48:[10, 58], Operations: ['90/9=10', '84-26=58'] Exploring Operation: 58-10=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 71, 64, 6, 47 ]
82
[ "71+64=135", "6+47=53", "135-53=82" ]
Current State: 82:[71, 64, 6, 47], Operations: [] Exploring Operation: 71+64=135, Resulting Numbers: [6, 47, 135] Generated Node #2: [6, 47, 135] from Operation: 71+64=135 Current State: 82:[6, 47, 135], Operations: ['71+64=135'] Exploring Operation: 6+47=53, Resulting Numbers: [135, 53] Generated Node #3: [135, 53] from Operation: 6+47=53 Current State: 82:[135, 53], Operations: ['71+64=135', '6+47=53'] Exploring Operation: 135-53=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 48, 36, 4, 17 ]
88
[ "48-17=31", "4*31=124", "124-36=88" ]
Current State: 88:[48, 36, 4, 17], Operations: [] Exploring Operation: 48-17=31, Resulting Numbers: [36, 4, 31] Generated Node #2: [36, 4, 31] from Operation: 48-17=31 Current State: 88:[36, 4, 31], Operations: ['48-17=31'] Exploring Operation: 4*31=124, Resulting Numbers: [36, 124] Generated Node #3: [36, 124] from Operation: 4*31=124 Current State: 88:[36, 124], Operations: ['48-17=31', '4*31=124'] Exploring Operation: 124-36=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 4, 51, 65, 77 ]
95
[ "51-4=47", "65+77=142", "142-47=95" ]
Current State: 95:[4, 51, 65, 77], Operations: [] Exploring Operation: 51-4=47, Resulting Numbers: [65, 77, 47] Generated Node #2: [65, 77, 47] from Operation: 51-4=47 Current State: 95:[65, 77, 47], Operations: ['51-4=47'] Exploring Operation: 65+77=142, Resulting Numbers: [47, 142] Generated Node #3: [47, 142] from Operation: 65+77=142 Current State: 95:[47, 142], Operations: ['51-4=47', '65+77=142'] Exploring Operation: 142-47=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 3, 64, 32, 32 ]
13
[ "64/32=2", "32/2=16", "16-3=13" ]
Current State: 13:[3, 64, 32, 32], Operations: [] Exploring Operation: 64/32=2, Resulting Numbers: [3, 2] Generated Node #2: [3, 2] from Operation: 64/32=2 Current State: 13:[3, 2], Operations: ['64/32=2'] Exploring Operation: 32/2=16, Resulting Numbers: [3, 16] Generated Node #3: [3, 16] from Operation: 32/2=16 Current State: 13:[3, 16], Operations: ['64/32=2', '32/2=16'] Exploring Operation: 16-3=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 45, 86, 98, 44 ]
12
[ "45-44=1", "98-86=12", "1*12=12" ]
Current State: 12:[45, 86, 98, 44], Operations: [] Exploring Operation: 45-44=1, Resulting Numbers: [86, 98, 1] Generated Node #2: [86, 98, 1] from Operation: 45-44=1 Current State: 12:[86, 98, 1], Operations: ['45-44=1'] Exploring Operation: 98-86=12, Resulting Numbers: [1, 12] Generated Node #3: [1, 12] from Operation: 98-86=12 Current State: 12:[1, 12], Operations: ['45-44=1', '98-86=12'] Exploring Operation: 1*12=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 22, 3, 13, 65 ]
81
[ "65/13=5", "22+5=27", "3*27=81" ]
Current State: 81:[22, 3, 13, 65], Operations: [] Exploring Operation: 65/13=5, Resulting Numbers: [22, 3, 5] Generated Node #2: [22, 3, 5] from Operation: 65/13=5 Current State: 81:[22, 3, 5], Operations: ['65/13=5'] Exploring Operation: 22+5=27, Resulting Numbers: [3, 27] Generated Node #3: [3, 27] from Operation: 22+5=27 Current State: 81:[3, 27], Operations: ['65/13=5', '22+5=27'] Exploring Operation: 3*27=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 24, 26, 69, 80 ]
61
[ "24+26=50", "80-69=11", "50+11=61" ]
Current State: 61:[24, 26, 69, 80], Operations: [] Exploring Operation: 24+26=50, Resulting Numbers: [69, 80, 50] Generated Node #2: [69, 80, 50] from Operation: 24+26=50 Current State: 61:[69, 80, 50], Operations: ['24+26=50'] Exploring Operation: 80-69=11, Resulting Numbers: [50, 11] Generated Node #3: [50, 11] from Operation: 80-69=11 Current State: 61:[50, 11], Operations: ['24+26=50', '80-69=11'] Exploring Operation: 50+11=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 49, 44, 53, 50 ]
61
[ "53-49=4", "44/4=11", "50+11=61" ]
Current State: 61:[49, 44, 53, 50], Operations: [] Exploring Operation: 53-49=4, Resulting Numbers: [44, 50, 4] Generated Node #2: [44, 50, 4] from Operation: 53-49=4 Current State: 61:[44, 50, 4], Operations: ['53-49=4'] Exploring Operation: 44/4=11, Resulting Numbers: [50, 11] Generated Node #3: [50, 11] from Operation: 44/4=11 Current State: 61:[50, 11], Operations: ['53-49=4', '44/4=11'] Exploring Operation: 50+11=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 66, 20, 22, 10 ]
27
[ "66/22=3", "20+10=30", "30-3=27" ]
Current State: 27:[66, 20, 22, 10], Operations: [] Exploring Operation: 66/22=3, Resulting Numbers: [20, 10, 3] Generated Node #2: [20, 10, 3] from Operation: 66/22=3 Current State: 27:[20, 10, 3], Operations: ['66/22=3'] Exploring Operation: 20+10=30, Resulting Numbers: [3, 30] Generated Node #3: [3, 30] from Operation: 20+10=30 Current State: 27:[3, 30], Operations: ['66/22=3', '20+10=30'] Exploring Operation: 30-3=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 91, 89, 88, 99 ]
56
[ "91-88=3", "99/3=33", "89-33=56" ]
Current State: 56:[91, 89, 88, 99], Operations: [] Exploring Operation: 91-88=3, Resulting Numbers: [89, 99, 3] Generated Node #2: [89, 99, 3] from Operation: 91-88=3 Current State: 56:[89, 99, 3], Operations: ['91-88=3'] Exploring Operation: 99/3=33, Resulting Numbers: [89, 33] Generated Node #3: [89, 33] from Operation: 99/3=33 Current State: 56:[89, 33], Operations: ['91-88=3', '99/3=33'] Exploring Operation: 89-33=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 51, 26, 39, 53 ]
19
[ "51*26=1326", "1326/39=34", "53-34=19" ]
Current State: 19:[51, 26, 39, 53], Operations: [] Exploring Operation: 51*26=1326, Resulting Numbers: [39, 53, 1326] Generated Node #2: [39, 53, 1326] from Operation: 51*26=1326 Current State: 19:[39, 53, 1326], Operations: ['51*26=1326'] Exploring Operation: 1326/39=34, Resulting Numbers: [53, 34] Generated Node #3: [53, 34] from Operation: 1326/39=34 Current State: 19:[53, 34], Operations: ['51*26=1326', '1326/39=34'] Exploring Operation: 53-34=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 9, 68, 80, 5 ]
51
[ "80-68=12", "5*12=60", "60-9=51" ]
Current State: 51:[9, 68, 80, 5], Operations: [] Exploring Operation: 80-68=12, Resulting Numbers: [9, 5, 12] Generated Node #2: [9, 5, 12] from Operation: 80-68=12 Current State: 51:[9, 5, 12], Operations: ['80-68=12'] Exploring Operation: 5*12=60, Resulting Numbers: [9, 60] Generated Node #3: [9, 60] from Operation: 5*12=60 Current State: 51:[9, 60], Operations: ['80-68=12', '5*12=60'] Exploring Operation: 60-9=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 11, 77, 27, 81 ]
63
[ "77-11=66", "81/27=3", "66-3=63" ]
Current State: 63:[11, 77, 27, 81], Operations: [] Exploring Operation: 77-11=66, Resulting Numbers: [27, 81, 66] Generated Node #2: [27, 81, 66] from Operation: 77-11=66 Current State: 63:[27, 81, 66], Operations: ['77-11=66'] Exploring Operation: 81/27=3, Resulting Numbers: [66, 3] Generated Node #3: [66, 3] from Operation: 81/27=3 Current State: 63:[66, 3], Operations: ['77-11=66', '81/27=3'] Exploring Operation: 66-3=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 34, 81, 3, 97 ]
53
[ "81-34=47", "3+97=100", "100-47=53" ]
Current State: 53:[34, 81, 3, 97], Operations: [] Exploring Operation: 81-34=47, Resulting Numbers: [3, 97, 47] Generated Node #2: [3, 97, 47] from Operation: 81-34=47 Current State: 53:[3, 97, 47], Operations: ['81-34=47'] Exploring Operation: 3+97=100, Resulting Numbers: [47, 100] Generated Node #3: [47, 100] from Operation: 3+97=100 Current State: 53:[47, 100], Operations: ['81-34=47', '3+97=100'] Exploring Operation: 100-47=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 87, 15, 66, 6 ]
91
[ "87+15=102", "66/6=11", "102-11=91" ]
Current State: 91:[87, 15, 66, 6], Operations: [] Exploring Operation: 87+15=102, Resulting Numbers: [66, 6, 102] Generated Node #2: [66, 6, 102] from Operation: 87+15=102 Current State: 91:[66, 6, 102], Operations: ['87+15=102'] Exploring Operation: 66/6=11, Resulting Numbers: [102, 11] Generated Node #3: [102, 11] from Operation: 66/6=11 Current State: 91:[102, 11], Operations: ['87+15=102', '66/6=11'] Exploring Operation: 102-11=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 40, 58, 37, 2 ]
52
[ "40-37=3", "2*3=6", "58-6=52" ]
Current State: 52:[40, 58, 37, 2], Operations: [] Exploring Operation: 40-37=3, Resulting Numbers: [58, 2, 3] Generated Node #2: [58, 2, 3] from Operation: 40-37=3 Current State: 52:[58, 2, 3], Operations: ['40-37=3'] Exploring Operation: 2*3=6, Resulting Numbers: [58, 6] Generated Node #3: [58, 6] from Operation: 2*3=6 Current State: 52:[58, 6], Operations: ['40-37=3', '2*3=6'] Exploring Operation: 58-6=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 42, 16, 20, 18 ]
100
[ "20-18=2", "42*2=84", "16+84=100" ]
Current State: 100:[42, 16, 20, 18], Operations: [] Exploring Operation: 20-18=2, Resulting Numbers: [42, 16, 2] Generated Node #2: [42, 16, 2] from Operation: 20-18=2 Current State: 100:[42, 16, 2], Operations: ['20-18=2'] Exploring Operation: 42*2=84, Resulting Numbers: [16, 84] Generated Node #3: [16, 84] from Operation: 42*2=84 Current State: 100:[16, 84], Operations: ['20-18=2', '42*2=84'] Exploring Operation: 16+84=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 79, 11, 4, 12 ]
83
[ "79+4=83", "12-11=1", "83*1=83" ]
Current State: 83:[79, 11, 4, 12], Operations: [] Exploring Operation: 79+4=83, Resulting Numbers: [11, 12, 83] Generated Node #2: [11, 12, 83] from Operation: 79+4=83 Current State: 83:[11, 12, 83], Operations: ['79+4=83'] Exploring Operation: 12-11=1, Resulting Numbers: [83, 1] Generated Node #3: [83, 1] from Operation: 12-11=1 Current State: 83:[83, 1], Operations: ['79+4=83', '12-11=1'] Exploring Operation: 83*1=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 31, 7, 74, 80 ]
73
[ "80-74=6", "7*6=42", "31+42=73" ]
Current State: 73:[31, 7, 74, 80], Operations: [] Exploring Operation: 80-74=6, Resulting Numbers: [31, 7, 6] Generated Node #2: [31, 7, 6] from Operation: 80-74=6 Current State: 73:[31, 7, 6], Operations: ['80-74=6'] Exploring Operation: 7*6=42, Resulting Numbers: [31, 42] Generated Node #3: [31, 42] from Operation: 7*6=42 Current State: 73:[31, 42], Operations: ['80-74=6', '7*6=42'] Exploring Operation: 31+42=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 18, 1, 5, 2 ]
79
[ "18-2=16", "5*16=80", "80-1=79" ]
Current State: 79:[18, 1, 5, 2], Operations: [] Exploring Operation: 18-2=16, Resulting Numbers: [1, 5, 16] Generated Node #2: [1, 5, 16] from Operation: 18-2=16 Current State: 79:[1, 5, 16], Operations: ['18-2=16'] Exploring Operation: 5*16=80, Resulting Numbers: [1, 80] Generated Node #3: [1, 80] from Operation: 5*16=80 Current State: 79:[1, 80], Operations: ['18-2=16', '5*16=80'] Exploring Operation: 80-1=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 17, 68, 2, 48 ]
74
[ "17+68=85", "85-48=37", "2*37=74" ]
Current State: 74:[17, 68, 2, 48], Operations: [] Exploring Operation: 17+68=85, Resulting Numbers: [2, 48, 85] Generated Node #2: [2, 48, 85] from Operation: 17+68=85 Current State: 74:[2, 48, 85], Operations: ['17+68=85'] Exploring Operation: 85-48=37, Resulting Numbers: [2, 37] Generated Node #3: [2, 37] from Operation: 85-48=37 Current State: 74:[2, 37], Operations: ['17+68=85', '85-48=37'] Exploring Operation: 2*37=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 1, 69, 31, 6 ]
86
[ "6-1=5", "31*5=155", "155-69=86" ]
Current State: 86:[1, 69, 31, 6], Operations: [] Exploring Operation: 6-1=5, Resulting Numbers: [69, 31, 5] Generated Node #2: [69, 31, 5] from Operation: 6-1=5 Current State: 86:[69, 31, 5], Operations: ['6-1=5'] Exploring Operation: 31*5=155, Resulting Numbers: [69, 155] Generated Node #3: [69, 155] from Operation: 31*5=155 Current State: 86:[69, 155], Operations: ['6-1=5', '31*5=155'] Exploring Operation: 155-69=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 6, 80, 2, 42 ]
82
[ "80-42=38", "2*38=76", "6+76=82" ]
Current State: 82:[6, 80, 2, 42], Operations: [] Exploring Operation: 80-42=38, Resulting Numbers: [6, 2, 38] Generated Node #2: [6, 2, 38] from Operation: 80-42=38 Current State: 82:[6, 2, 38], Operations: ['80-42=38'] Exploring Operation: 2*38=76, Resulting Numbers: [6, 76] Generated Node #3: [6, 76] from Operation: 2*38=76 Current State: 82:[6, 76], Operations: ['80-42=38', '2*38=76'] Exploring Operation: 6+76=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 9, 66, 33, 55 ]
33
[ "66+55=121", "9*121=1089", "1089/33=33" ]
Current State: 33:[9, 66, 33, 55], Operations: [] Exploring Operation: 66+55=121, Resulting Numbers: [9, 33, 121] Generated Node #2: [9, 33, 121] from Operation: 66+55=121 Current State: 33:[9, 33, 121], Operations: ['66+55=121'] Exploring Operation: 9*121=1089, Resulting Numbers: [33, 1089] Generated Node #3: [33, 1089] from Operation: 9*121=1089 Current State: 33:[33, 1089], Operations: ['66+55=121', '9*121=1089'] Exploring Operation: 1089/33=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 7, 49, 59, 79 ]
82
[ "7+49=56", "59+79=138", "138-56=82" ]
Current State: 82:[7, 49, 59, 79], Operations: [] Exploring Operation: 7+49=56, Resulting Numbers: [59, 79, 56] Generated Node #2: [59, 79, 56] from Operation: 7+49=56 Current State: 82:[59, 79, 56], Operations: ['7+49=56'] Exploring Operation: 59+79=138, Resulting Numbers: [56, 138] Generated Node #3: [56, 138] from Operation: 59+79=138 Current State: 82:[56, 138], Operations: ['7+49=56', '59+79=138'] Exploring Operation: 138-56=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 34, 49, 87, 27 ]
99
[ "49-34=15", "87+27=114", "114-15=99" ]
Current State: 99:[34, 49, 87, 27], Operations: [] Exploring Operation: 49-34=15, Resulting Numbers: [87, 27, 15] Generated Node #2: [87, 27, 15] from Operation: 49-34=15 Current State: 99:[87, 27, 15], Operations: ['49-34=15'] Exploring Operation: 87+27=114, Resulting Numbers: [15, 114] Generated Node #3: [15, 114] from Operation: 87+27=114 Current State: 99:[15, 114], Operations: ['49-34=15', '87+27=114'] Exploring Operation: 114-15=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 45, 60, 72, 73 ]
23
[ "60*72=4320", "4320/45=96", "96-73=23" ]
Current State: 23:[45, 60, 72, 73], Operations: [] Exploring Operation: 60*72=4320, Resulting Numbers: [45, 73, 4320] Generated Node #2: [45, 73, 4320] from Operation: 60*72=4320 Current State: 23:[45, 73, 4320], Operations: ['60*72=4320'] Exploring Operation: 4320/45=96, Resulting Numbers: [73, 96] Generated Node #3: [73, 96] from Operation: 4320/45=96 Current State: 23:[73, 96], Operations: ['60*72=4320', '4320/45=96'] Exploring Operation: 96-73=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 10, 97, 33, 22 ]
52
[ "10+97=107", "33+22=55", "107-55=52" ]
Current State: 52:[10, 97, 33, 22], Operations: [] Exploring Operation: 10+97=107, Resulting Numbers: [33, 22, 107] Generated Node #2: [33, 22, 107] from Operation: 10+97=107 Current State: 52:[33, 22, 107], Operations: ['10+97=107'] Exploring Operation: 33+22=55, Resulting Numbers: [107, 55] Generated Node #3: [107, 55] from Operation: 33+22=55 Current State: 52:[107, 55], Operations: ['10+97=107', '33+22=55'] Exploring Operation: 107-55=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 43, 18, 8, 12 ]
35
[ "43+18=61", "8*12=96", "96-61=35" ]
Current State: 35:[43, 18, 8, 12], Operations: [] Exploring Operation: 43+18=61, Resulting Numbers: [8, 12, 61] Generated Node #2: [8, 12, 61] from Operation: 43+18=61 Current State: 35:[8, 12, 61], Operations: ['43+18=61'] Exploring Operation: 8*12=96, Resulting Numbers: [61, 96] Generated Node #3: [61, 96] from Operation: 8*12=96 Current State: 35:[61, 96], Operations: ['43+18=61', '8*12=96'] Exploring Operation: 96-61=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 35, 48, 4, 62 ]
45
[ "48-35=13", "62-4=58", "58-13=45" ]
Current State: 45:[35, 48, 4, 62], Operations: [] Exploring Operation: 48-35=13, Resulting Numbers: [4, 62, 13] Generated Node #2: [4, 62, 13] from Operation: 48-35=13 Current State: 45:[4, 62, 13], Operations: ['48-35=13'] Exploring Operation: 62-4=58, Resulting Numbers: [13, 58] Generated Node #3: [13, 58] from Operation: 62-4=58 Current State: 45:[13, 58], Operations: ['48-35=13', '62-4=58'] Exploring Operation: 58-13=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 28, 8, 6, 82 ]
65
[ "6*82=492", "28+492=520", "520/8=65" ]
Current State: 65:[28, 8, 6, 82], Operations: [] Exploring Operation: 6*82=492, Resulting Numbers: [28, 8, 492] Generated Node #2: [28, 8, 492] from Operation: 6*82=492 Current State: 65:[28, 8, 492], Operations: ['6*82=492'] Exploring Operation: 28+492=520, Resulting Numbers: [8, 520] Generated Node #3: [8, 520] from Operation: 28+492=520 Current State: 65:[8, 520], Operations: ['6*82=492', '28+492=520'] Exploring Operation: 520/8=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 25, 18, 30, 22 ]
95
[ "25+18=43", "30+22=52", "43+52=95" ]
Current State: 95:[25, 18, 30, 22], Operations: [] Exploring Operation: 25+18=43, Resulting Numbers: [30, 22, 43] Generated Node #2: [30, 22, 43] from Operation: 25+18=43 Current State: 95:[30, 22, 43], Operations: ['25+18=43'] Exploring Operation: 30+22=52, Resulting Numbers: [43, 52] Generated Node #3: [43, 52] from Operation: 30+22=52 Current State: 95:[43, 52], Operations: ['25+18=43', '30+22=52'] Exploring Operation: 43+52=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 12, 54, 30, 4 ]
92
[ "12+54=66", "30-4=26", "66+26=92" ]
Current State: 92:[12, 54, 30, 4], Operations: [] Exploring Operation: 12+54=66, Resulting Numbers: [30, 4, 66] Generated Node #2: [30, 4, 66] from Operation: 12+54=66 Current State: 92:[30, 4, 66], Operations: ['12+54=66'] Exploring Operation: 30-4=26, Resulting Numbers: [66, 26] Generated Node #3: [66, 26] from Operation: 30-4=26 Current State: 92:[66, 26], Operations: ['12+54=66', '30-4=26'] Exploring Operation: 66+26=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 67, 25, 17, 4 ]
63
[ "67-25=42", "17+4=21", "42+21=63" ]
Current State: 63:[67, 25, 17, 4], Operations: [] Exploring Operation: 67-25=42, Resulting Numbers: [17, 4, 42] Generated Node #2: [17, 4, 42] from Operation: 67-25=42 Current State: 63:[17, 4, 42], Operations: ['67-25=42'] Exploring Operation: 17+4=21, Resulting Numbers: [42, 21] Generated Node #3: [42, 21] from Operation: 17+4=21 Current State: 63:[42, 21], Operations: ['67-25=42', '17+4=21'] Exploring Operation: 42+21=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 7, 79, 79, 96 ]
89
[ "7+79=86", "79+96=175", "175-86=89" ]
Current State: 89:[7, 79, 79, 96], Operations: [] Exploring Operation: 7+79=86, Resulting Numbers: [96, 86] Generated Node #2: [96, 86] from Operation: 7+79=86 Current State: 89:[96, 86], Operations: ['7+79=86'] Exploring Operation: 79+96=175, Resulting Numbers: [86, 175] Generated Node #3: [86, 175] from Operation: 79+96=175 Current State: 89:[86, 175], Operations: ['7+79=86', '79+96=175'] Exploring Operation: 175-86=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 63, 42, 63, 83 ]
30
[ "83-63=20", "63*20=1260", "1260/42=30" ]
Current State: 30:[63, 42, 63, 83], Operations: [] Exploring Operation: 83-63=20, Resulting Numbers: [42, 20] Generated Node #2: [42, 20] from Operation: 83-63=20 Current State: 30:[42, 20], Operations: ['83-63=20'] Exploring Operation: 63*20=1260, Resulting Numbers: [42, 1260] Generated Node #3: [42, 1260] from Operation: 63*20=1260 Current State: 30:[42, 1260], Operations: ['83-63=20', '63*20=1260'] Exploring Operation: 1260/42=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 36, 18, 29, 32 ]
15
[ "36-18=18", "32-29=3", "18-3=15" ]
Current State: 15:[36, 18, 29, 32], Operations: [] Exploring Operation: 36-18=18, Resulting Numbers: [29, 32, 18] Generated Node #2: [29, 32, 18] from Operation: 36-18=18 Current State: 15:[29, 32, 18], Operations: ['36-18=18'] Exploring Operation: 32-29=3, Resulting Numbers: [18, 3] Generated Node #3: [18, 3] from Operation: 32-29=3 Current State: 15:[18, 3], Operations: ['36-18=18', '32-29=3'] Exploring Operation: 18-3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 63, 40, 47, 80 ]
10
[ "63-40=23", "80-47=33", "33-23=10" ]
Current State: 10:[63, 40, 47, 80], Operations: [] Exploring Operation: 63-40=23, Resulting Numbers: [47, 80, 23] Generated Node #2: [47, 80, 23] from Operation: 63-40=23 Current State: 10:[47, 80, 23], Operations: ['63-40=23'] Exploring Operation: 80-47=33, Resulting Numbers: [23, 33] Generated Node #3: [23, 33] from Operation: 80-47=33 Current State: 10:[23, 33], Operations: ['63-40=23', '80-47=33'] Exploring Operation: 33-23=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 21, 5, 73, 89 ]
10
[ "21+5=26", "89-73=16", "26-16=10" ]
Current State: 10:[21, 5, 73, 89], Operations: [] Exploring Operation: 21+5=26, Resulting Numbers: [73, 89, 26] Generated Node #2: [73, 89, 26] from Operation: 21+5=26 Current State: 10:[73, 89, 26], Operations: ['21+5=26'] Exploring Operation: 89-73=16, Resulting Numbers: [26, 16] Generated Node #3: [26, 16] from Operation: 89-73=16 Current State: 10:[26, 16], Operations: ['21+5=26', '89-73=16'] Exploring Operation: 26-16=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 24, 96, 22, 64 ]
46
[ "96/24=4", "64-22=42", "4+42=46" ]
Current State: 46:[24, 96, 22, 64], Operations: [] Exploring Operation: 96/24=4, Resulting Numbers: [22, 64, 4] Generated Node #2: [22, 64, 4] from Operation: 96/24=4 Current State: 46:[22, 64, 4], Operations: ['96/24=4'] Exploring Operation: 64-22=42, Resulting Numbers: [4, 42] Generated Node #3: [4, 42] from Operation: 64-22=42 Current State: 46:[4, 42], Operations: ['96/24=4', '64-22=42'] Exploring Operation: 4+42=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 17, 69, 88, 17 ]
53
[ "69-17=52", "88+17=105", "105-52=53" ]
Current State: 53:[17, 69, 88, 17], Operations: [] Exploring Operation: 69-17=52, Resulting Numbers: [88, 52] Generated Node #2: [88, 52] from Operation: 69-17=52 Current State: 53:[88, 52], Operations: ['69-17=52'] Exploring Operation: 88+17=105, Resulting Numbers: [52, 105] Generated Node #3: [52, 105] from Operation: 88+17=105 Current State: 53:[52, 105], Operations: ['69-17=52', '88+17=105'] Exploring Operation: 105-52=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 62, 31, 81, 80 ]
30
[ "62-31=31", "81-80=1", "31-1=30" ]
Current State: 30:[62, 31, 81, 80], Operations: [] Exploring Operation: 62-31=31, Resulting Numbers: [81, 80, 31] Generated Node #2: [81, 80, 31] from Operation: 62-31=31 Current State: 30:[81, 80, 31], Operations: ['62-31=31'] Exploring Operation: 81-80=1, Resulting Numbers: [31, 1] Generated Node #3: [31, 1] from Operation: 81-80=1 Current State: 30:[31, 1], Operations: ['62-31=31', '81-80=1'] Exploring Operation: 31-1=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 45, 2, 79, 77 ]
45
[ "45+2=47", "79-77=2", "47-2=45" ]
Current State: 45:[45, 2, 79, 77], Operations: [] Exploring Operation: 45+2=47, Resulting Numbers: [79, 77, 47] Generated Node #2: [79, 77, 47] from Operation: 45+2=47 Current State: 45:[79, 77, 47], Operations: ['45+2=47'] Exploring Operation: 79-77=2, Resulting Numbers: [47, 2] Generated Node #3: [47, 2] from Operation: 79-77=2 Current State: 45:[47, 2], Operations: ['45+2=47', '79-77=2'] Exploring Operation: 47-2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 26, 60, 66, 17 ]
76
[ "66-60=6", "17*6=102", "102-26=76" ]
Current State: 76:[26, 60, 66, 17], Operations: [] Exploring Operation: 66-60=6, Resulting Numbers: [26, 17, 6] Generated Node #2: [26, 17, 6] from Operation: 66-60=6 Current State: 76:[26, 17, 6], Operations: ['66-60=6'] Exploring Operation: 17*6=102, Resulting Numbers: [26, 102] Generated Node #3: [26, 102] from Operation: 17*6=102 Current State: 76:[26, 102], Operations: ['66-60=6', '17*6=102'] Exploring Operation: 102-26=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 84, 56, 35, 8 ]
32
[ "84+56=140", "140/35=4", "8*4=32" ]
Current State: 32:[84, 56, 35, 8], Operations: [] Exploring Operation: 84+56=140, Resulting Numbers: [35, 8, 140] Generated Node #2: [35, 8, 140] from Operation: 84+56=140 Current State: 32:[35, 8, 140], Operations: ['84+56=140'] Exploring Operation: 140/35=4, Resulting Numbers: [8, 4] Generated Node #3: [8, 4] from Operation: 140/35=4 Current State: 32:[8, 4], Operations: ['84+56=140', '140/35=4'] Exploring Operation: 8*4=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 64, 14, 96, 71 ]
50
[ "14*96=1344", "1344/64=21", "71-21=50" ]
Current State: 50:[64, 14, 96, 71], Operations: [] Exploring Operation: 14*96=1344, Resulting Numbers: [64, 71, 1344] Generated Node #2: [64, 71, 1344] from Operation: 14*96=1344 Current State: 50:[64, 71, 1344], Operations: ['14*96=1344'] Exploring Operation: 1344/64=21, Resulting Numbers: [71, 21] Generated Node #3: [71, 21] from Operation: 1344/64=21 Current State: 50:[71, 21], Operations: ['14*96=1344', '1344/64=21'] Exploring Operation: 71-21=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 78, 20, 4, 28 ]
82
[ "78-20=58", "28-4=24", "58+24=82" ]
Current State: 82:[78, 20, 4, 28], Operations: [] Exploring Operation: 78-20=58, Resulting Numbers: [4, 28, 58] Generated Node #2: [4, 28, 58] from Operation: 78-20=58 Current State: 82:[4, 28, 58], Operations: ['78-20=58'] Exploring Operation: 28-4=24, Resulting Numbers: [58, 24] Generated Node #3: [58, 24] from Operation: 28-4=24 Current State: 82:[58, 24], Operations: ['78-20=58', '28-4=24'] Exploring Operation: 58+24=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 26, 71, 4, 22 ]
43
[ "71-26=45", "4*22=88", "88-45=43" ]
Current State: 43:[26, 71, 4, 22], Operations: [] Exploring Operation: 71-26=45, Resulting Numbers: [4, 22, 45] Generated Node #2: [4, 22, 45] from Operation: 71-26=45 Current State: 43:[4, 22, 45], Operations: ['71-26=45'] Exploring Operation: 4*22=88, Resulting Numbers: [45, 88] Generated Node #3: [45, 88] from Operation: 4*22=88 Current State: 43:[45, 88], Operations: ['71-26=45', '4*22=88'] Exploring Operation: 88-45=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 70, 70, 8, 48 ]
48
[ "70-70=0", "8*0=0", "48+0=48" ]
Current State: 48:[70, 70, 8, 48], Operations: [] Exploring Operation: 70-70=0, Resulting Numbers: [8, 48, 0] Generated Node #2: [8, 48, 0] from Operation: 70-70=0 Current State: 48:[8, 48, 0], Operations: ['70-70=0'] Exploring Operation: 8*0=0, Resulting Numbers: [48, 0] Generated Node #3: [48, 0] from Operation: 8*0=0 Current State: 48:[48, 0], Operations: ['70-70=0', '8*0=0'] Exploring Operation: 48+0=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 98, 58, 10, 27 ]
77
[ "98-58=40", "10+27=37", "40+37=77" ]
Current State: 77:[98, 58, 10, 27], Operations: [] Exploring Operation: 98-58=40, Resulting Numbers: [10, 27, 40] Generated Node #2: [10, 27, 40] from Operation: 98-58=40 Current State: 77:[10, 27, 40], Operations: ['98-58=40'] Exploring Operation: 10+27=37, Resulting Numbers: [40, 37] Generated Node #3: [40, 37] from Operation: 10+27=37 Current State: 77:[40, 37], Operations: ['98-58=40', '10+27=37'] Exploring Operation: 40+37=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 9, 11, 50, 10 ]
94
[ "9*11=99", "50/10=5", "99-5=94" ]
Current State: 94:[9, 11, 50, 10], Operations: [] Exploring Operation: 9*11=99, Resulting Numbers: [50, 10, 99] Generated Node #2: [50, 10, 99] from Operation: 9*11=99 Current State: 94:[50, 10, 99], Operations: ['9*11=99'] Exploring Operation: 50/10=5, Resulting Numbers: [99, 5] Generated Node #3: [99, 5] from Operation: 50/10=5 Current State: 94:[99, 5], Operations: ['9*11=99', '50/10=5'] Exploring Operation: 99-5=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 18, 7, 7, 3 ]
65
[ "7-3=4", "18*4=72", "72-7=65" ]
Current State: 65:[18, 7, 7, 3], Operations: [] Exploring Operation: 7-3=4, Resulting Numbers: [18, 4] Generated Node #2: [18, 4] from Operation: 7-3=4 Current State: 65:[18, 4], Operations: ['7-3=4'] Exploring Operation: 18*4=72, Resulting Numbers: [72] 72,65 equal: Goal Reached Exploring Operation: 72-7=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 35, 19, 33, 83 ]
62
[ "35+19=54", "33+83=116", "116-54=62" ]
Current State: 62:[35, 19, 33, 83], Operations: [] Exploring Operation: 35+19=54, Resulting Numbers: [33, 83, 54] Generated Node #2: [33, 83, 54] from Operation: 35+19=54 Current State: 62:[33, 83, 54], Operations: ['35+19=54'] Exploring Operation: 33+83=116, Resulting Numbers: [54, 116] Generated Node #3: [54, 116] from Operation: 33+83=116 Current State: 62:[54, 116], Operations: ['35+19=54', '33+83=116'] Exploring Operation: 116-54=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 37, 60, 43, 39 ]
59
[ "60-37=23", "43+39=82", "82-23=59" ]
Current State: 59:[37, 60, 43, 39], Operations: [] Exploring Operation: 60-37=23, Resulting Numbers: [43, 39, 23] Generated Node #2: [43, 39, 23] from Operation: 60-37=23 Current State: 59:[43, 39, 23], Operations: ['60-37=23'] Exploring Operation: 43+39=82, Resulting Numbers: [23, 82] Generated Node #3: [23, 82] from Operation: 43+39=82 Current State: 59:[23, 82], Operations: ['60-37=23', '43+39=82'] Exploring Operation: 82-23=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 31, 61, 57, 53 ]
71
[ "61-57=4", "31*4=124", "124-53=71" ]
Current State: 71:[31, 61, 57, 53], Operations: [] Exploring Operation: 61-57=4, Resulting Numbers: [31, 53, 4] Generated Node #2: [31, 53, 4] from Operation: 61-57=4 Current State: 71:[31, 53, 4], Operations: ['61-57=4'] Exploring Operation: 31*4=124, Resulting Numbers: [53, 124] Generated Node #3: [53, 124] from Operation: 31*4=124 Current State: 71:[53, 124], Operations: ['61-57=4', '31*4=124'] Exploring Operation: 124-53=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 10, 74, 91, 96 ]
79
[ "10+74=84", "96-91=5", "84-5=79" ]
Current State: 79:[10, 74, 91, 96], Operations: [] Exploring Operation: 10+74=84, Resulting Numbers: [91, 96, 84] Generated Node #2: [91, 96, 84] from Operation: 10+74=84 Current State: 79:[91, 96, 84], Operations: ['10+74=84'] Exploring Operation: 96-91=5, Resulting Numbers: [84, 5] Generated Node #3: [84, 5] from Operation: 96-91=5 Current State: 79:[84, 5], Operations: ['10+74=84', '96-91=5'] Exploring Operation: 84-5=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 91, 24, 87, 94 ]
11
[ "94-87=7", "91/7=13", "24-13=11" ]
Current State: 11:[91, 24, 87, 94], Operations: [] Exploring Operation: 94-87=7, Resulting Numbers: [91, 24, 7] Generated Node #2: [91, 24, 7] from Operation: 94-87=7 Current State: 11:[91, 24, 7], Operations: ['94-87=7'] Exploring Operation: 91/7=13, Resulting Numbers: [24, 13] Generated Node #3: [24, 13] from Operation: 91/7=13 Current State: 11:[24, 13], Operations: ['94-87=7', '91/7=13'] Exploring Operation: 24-13=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 46, 26, 25, 23 ]
74
[ "46+26=72", "25-23=2", "72+2=74" ]
Current State: 74:[46, 26, 25, 23], Operations: [] Exploring Operation: 46+26=72, Resulting Numbers: [25, 23, 72] Generated Node #2: [25, 23, 72] from Operation: 46+26=72 Current State: 74:[25, 23, 72], Operations: ['46+26=72'] Exploring Operation: 25-23=2, Resulting Numbers: [72, 2] Generated Node #3: [72, 2] from Operation: 25-23=2 Current State: 74:[72, 2], Operations: ['46+26=72', '25-23=2'] Exploring Operation: 72+2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 32, 28, 40, 18 ]
48
[ "32*18=576", "40-28=12", "576/12=48" ]
Current State: 48:[32, 28, 40, 18], Operations: [] Exploring Operation: 32*18=576, Resulting Numbers: [28, 40, 576] Generated Node #2: [28, 40, 576] from Operation: 32*18=576 Current State: 48:[28, 40, 576], Operations: ['32*18=576'] Exploring Operation: 40-28=12, Resulting Numbers: [576, 12] Generated Node #3: [576, 12] from Operation: 40-28=12 Current State: 48:[576, 12], Operations: ['32*18=576', '40-28=12'] Exploring Operation: 576/12=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 17, 6, 68, 83 ]
87
[ "17*6=102", "83-68=15", "102-15=87" ]
Current State: 87:[17, 6, 68, 83], Operations: [] Exploring Operation: 17*6=102, Resulting Numbers: [68, 83, 102] Generated Node #2: [68, 83, 102] from Operation: 17*6=102 Current State: 87:[68, 83, 102], Operations: ['17*6=102'] Exploring Operation: 83-68=15, Resulting Numbers: [102, 15] Generated Node #3: [102, 15] from Operation: 83-68=15 Current State: 87:[102, 15], Operations: ['17*6=102', '83-68=15'] Exploring Operation: 102-15=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 25, 24, 44, 95 ]
100
[ "25+24=49", "95-44=51", "49+51=100" ]
Current State: 100:[25, 24, 44, 95], Operations: [] Exploring Operation: 25+24=49, Resulting Numbers: [44, 95, 49] Generated Node #2: [44, 95, 49] from Operation: 25+24=49 Current State: 100:[44, 95, 49], Operations: ['25+24=49'] Exploring Operation: 95-44=51, Resulting Numbers: [49, 51] Generated Node #3: [49, 51] from Operation: 95-44=51 Current State: 100:[49, 51], Operations: ['25+24=49', '95-44=51'] Exploring Operation: 49+51=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 38, 94, 5, 41 ]
79
[ "41-38=3", "5*3=15", "94-15=79" ]
Current State: 79:[38, 94, 5, 41], Operations: [] Exploring Operation: 41-38=3, Resulting Numbers: [94, 5, 3] Generated Node #2: [94, 5, 3] from Operation: 41-38=3 Current State: 79:[94, 5, 3], Operations: ['41-38=3'] Exploring Operation: 5*3=15, Resulting Numbers: [94, 15] Generated Node #3: [94, 15] from Operation: 5*3=15 Current State: 79:[94, 15], Operations: ['41-38=3', '5*3=15'] Exploring Operation: 94-15=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 84, 31, 73, 15 ]
35
[ "84-31=53", "73+15=88", "88-53=35" ]
Current State: 35:[84, 31, 73, 15], Operations: [] Exploring Operation: 84-31=53, Resulting Numbers: [73, 15, 53] Generated Node #2: [73, 15, 53] from Operation: 84-31=53 Current State: 35:[73, 15, 53], Operations: ['84-31=53'] Exploring Operation: 73+15=88, Resulting Numbers: [53, 88] Generated Node #3: [53, 88] from Operation: 73+15=88 Current State: 35:[53, 88], Operations: ['84-31=53', '73+15=88'] Exploring Operation: 88-53=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 95, 25, 8, 10 ]
45
[ "10-8=2", "25*2=50", "95-50=45" ]
Current State: 45:[95, 25, 8, 10], Operations: [] Exploring Operation: 10-8=2, Resulting Numbers: [95, 25, 2] Generated Node #2: [95, 25, 2] from Operation: 10-8=2 Current State: 45:[95, 25, 2], Operations: ['10-8=2'] Exploring Operation: 25*2=50, Resulting Numbers: [95, 50] Generated Node #3: [95, 50] from Operation: 25*2=50 Current State: 45:[95, 50], Operations: ['10-8=2', '25*2=50'] Exploring Operation: 95-50=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 53, 18, 51, 72 ]
63
[ "53-51=2", "18/2=9", "72-9=63" ]
Current State: 63:[53, 18, 51, 72], Operations: [] Exploring Operation: 53-51=2, Resulting Numbers: [18, 72, 2] Generated Node #2: [18, 72, 2] from Operation: 53-51=2 Current State: 63:[18, 72, 2], Operations: ['53-51=2'] Exploring Operation: 18/2=9, Resulting Numbers: [72, 9] Generated Node #3: [72, 9] from Operation: 18/2=9 Current State: 63:[72, 9], Operations: ['53-51=2', '18/2=9'] Exploring Operation: 72-9=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 3, 6, 51, 71 ]
63
[ "51-3=48", "48/6=8", "71-8=63" ]
Current State: 63:[3, 6, 51, 71], Operations: [] Exploring Operation: 51-3=48, Resulting Numbers: [6, 71, 48] Generated Node #2: [6, 71, 48] from Operation: 51-3=48 Current State: 63:[6, 71, 48], Operations: ['51-3=48'] Exploring Operation: 48/6=8, Resulting Numbers: [71, 8] Generated Node #3: [71, 8] from Operation: 48/6=8 Current State: 63:[71, 8], Operations: ['51-3=48', '48/6=8'] Exploring Operation: 71-8=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 32, 14, 10, 55 ]
19
[ "32+14=46", "10+55=65", "65-46=19" ]
Current State: 19:[32, 14, 10, 55], Operations: [] Exploring Operation: 32+14=46, Resulting Numbers: [10, 55, 46] Generated Node #2: [10, 55, 46] from Operation: 32+14=46 Current State: 19:[10, 55, 46], Operations: ['32+14=46'] Exploring Operation: 10+55=65, Resulting Numbers: [46, 65] Generated Node #3: [46, 65] from Operation: 10+55=65 Current State: 19:[46, 65], Operations: ['32+14=46', '10+55=65'] Exploring Operation: 65-46=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 89, 97, 58, 2 ]
64
[ "89+97=186", "186-58=128", "128/2=64" ]
Current State: 64:[89, 97, 58, 2], Operations: [] Exploring Operation: 89+97=186, Resulting Numbers: [58, 2, 186] Generated Node #2: [58, 2, 186] from Operation: 89+97=186 Current State: 64:[58, 2, 186], Operations: ['89+97=186'] Exploring Operation: 186-58=128, Resulting Numbers: [2, 128] Generated Node #3: [2, 128] from Operation: 186-58=128 Current State: 64:[2, 128], Operations: ['89+97=186', '186-58=128'] Exploring Operation: 128/2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 80, 73, 38, 30 ]
83
[ "38-30=8", "80/8=10", "73+10=83" ]
Current State: 83:[80, 73, 38, 30], Operations: [] Exploring Operation: 38-30=8, Resulting Numbers: [80, 73, 8] Generated Node #2: [80, 73, 8] from Operation: 38-30=8 Current State: 83:[80, 73, 8], Operations: ['38-30=8'] Exploring Operation: 80/8=10, Resulting Numbers: [73, 10] Generated Node #3: [73, 10] from Operation: 80/8=10 Current State: 83:[73, 10], Operations: ['38-30=8', '80/8=10'] Exploring Operation: 73+10=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 88, 88, 46, 15 ]
46
[ "88-88=0", "15*0=0", "46+0=46" ]
Current State: 46:[88, 88, 46, 15], Operations: [] Exploring Operation: 88-88=0, Resulting Numbers: [46, 15, 0] Generated Node #2: [46, 15, 0] from Operation: 88-88=0 Current State: 46:[46, 15, 0], Operations: ['88-88=0'] Exploring Operation: 15*0=0, Resulting Numbers: [46, 0] Generated Node #3: [46, 0] from Operation: 15*0=0 Current State: 46:[46, 0], Operations: ['88-88=0', '15*0=0'] Exploring Operation: 46+0=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 64, 27, 62, 96 ]
67
[ "64+27=91", "62+96=158", "158-91=67" ]
Current State: 67:[64, 27, 62, 96], Operations: [] Exploring Operation: 64+27=91, Resulting Numbers: [62, 96, 91] Generated Node #2: [62, 96, 91] from Operation: 64+27=91 Current State: 67:[62, 96, 91], Operations: ['64+27=91'] Exploring Operation: 62+96=158, Resulting Numbers: [91, 158] Generated Node #3: [91, 158] from Operation: 62+96=158 Current State: 67:[91, 158], Operations: ['64+27=91', '62+96=158'] Exploring Operation: 158-91=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 59, 65, 71, 66 ]
42
[ "66-59=7", "71-65=6", "7*6=42" ]
Current State: 42:[59, 65, 71, 66], Operations: [] Exploring Operation: 66-59=7, Resulting Numbers: [65, 71, 7] Generated Node #2: [65, 71, 7] from Operation: 66-59=7 Current State: 42:[65, 71, 7], Operations: ['66-59=7'] Exploring Operation: 71-65=6, Resulting Numbers: [7, 6] Generated Node #3: [7, 6] from Operation: 71-65=6 Current State: 42:[7, 6], Operations: ['66-59=7', '71-65=6'] Exploring Operation: 7*6=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 44, 80, 96, 18 ]
46
[ "44+80=124", "96-18=78", "124-78=46" ]
Current State: 46:[44, 80, 96, 18], Operations: [] Exploring Operation: 44+80=124, Resulting Numbers: [96, 18, 124] Generated Node #2: [96, 18, 124] from Operation: 44+80=124 Current State: 46:[96, 18, 124], Operations: ['44+80=124'] Exploring Operation: 96-18=78, Resulting Numbers: [124, 78] Generated Node #3: [124, 78] from Operation: 96-18=78 Current State: 46:[124, 78], Operations: ['44+80=124', '96-18=78'] Exploring Operation: 124-78=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 75, 71, 16, 53 ]
57
[ "75-71=4", "16/4=4", "53+4=57" ]
Current State: 57:[75, 71, 16, 53], Operations: [] Exploring Operation: 75-71=4, Resulting Numbers: [16, 53, 4] Generated Node #2: [16, 53, 4] from Operation: 75-71=4 Current State: 57:[16, 53, 4], Operations: ['75-71=4'] Exploring Operation: 16/4=4, Resulting Numbers: [53, 4] Generated Node #3: [53, 4] from Operation: 16/4=4 Current State: 57:[53, 4], Operations: ['75-71=4', '16/4=4'] Exploring Operation: 53+4=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 96, 40, 36, 46 ]
45
[ "96-46=50", "36*50=1800", "1800/40=45" ]
Current State: 45:[96, 40, 36, 46], Operations: [] Exploring Operation: 96-46=50, Resulting Numbers: [40, 36, 50] Generated Node #2: [40, 36, 50] from Operation: 96-46=50 Current State: 45:[40, 36, 50], Operations: ['96-46=50'] Exploring Operation: 36*50=1800, Resulting Numbers: [40, 1800] Generated Node #3: [40, 1800] from Operation: 36*50=1800 Current State: 45:[40, 1800], Operations: ['96-46=50', '36*50=1800'] Exploring Operation: 1800/40=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 57, 62, 20, 50 ]
49
[ "57+62=119", "20+50=70", "119-70=49" ]
Current State: 49:[57, 62, 20, 50], Operations: [] Exploring Operation: 57+62=119, Resulting Numbers: [20, 50, 119] Generated Node #2: [20, 50, 119] from Operation: 57+62=119 Current State: 49:[20, 50, 119], Operations: ['57+62=119'] Exploring Operation: 20+50=70, Resulting Numbers: [119, 70] Generated Node #3: [119, 70] from Operation: 20+50=70 Current State: 49:[119, 70], Operations: ['57+62=119', '20+50=70'] Exploring Operation: 119-70=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 96, 48, 6, 75 ]
63
[ "96+48=144", "6+75=81", "144-81=63" ]
Current State: 63:[96, 48, 6, 75], Operations: [] Exploring Operation: 96+48=144, Resulting Numbers: [6, 75, 144] Generated Node #2: [6, 75, 144] from Operation: 96+48=144 Current State: 63:[6, 75, 144], Operations: ['96+48=144'] Exploring Operation: 6+75=81, Resulting Numbers: [144, 81] Generated Node #3: [144, 81] from Operation: 6+75=81 Current State: 63:[144, 81], Operations: ['96+48=144', '6+75=81'] Exploring Operation: 144-81=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 57, 59, 47, 32 ]
81
[ "59-57=2", "47+32=79", "2+79=81" ]
Current State: 81:[57, 59, 47, 32], Operations: [] Exploring Operation: 59-57=2, Resulting Numbers: [47, 32, 2] Generated Node #2: [47, 32, 2] from Operation: 59-57=2 Current State: 81:[47, 32, 2], Operations: ['59-57=2'] Exploring Operation: 47+32=79, Resulting Numbers: [2, 79] Generated Node #3: [2, 79] from Operation: 47+32=79 Current State: 81:[2, 79], Operations: ['59-57=2', '47+32=79'] Exploring Operation: 2+79=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 56, 90, 11, 17 ]
92
[ "11+17=28", "56/28=2", "90+2=92" ]
Current State: 92:[56, 90, 11, 17], Operations: [] Exploring Operation: 11+17=28, Resulting Numbers: [56, 90, 28] Generated Node #2: [56, 90, 28] from Operation: 11+17=28 Current State: 92:[56, 90, 28], Operations: ['11+17=28'] Exploring Operation: 56/28=2, Resulting Numbers: [90, 2] Generated Node #3: [90, 2] from Operation: 56/28=2 Current State: 92:[90, 2], Operations: ['11+17=28', '56/28=2'] Exploring Operation: 90+2=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 92, 63, 65, 94 ]
48
[ "65-63=2", "92/2=46", "94-46=48" ]
Current State: 48:[92, 63, 65, 94], Operations: [] Exploring Operation: 65-63=2, Resulting Numbers: [92, 94, 2] Generated Node #2: [92, 94, 2] from Operation: 65-63=2 Current State: 48:[92, 94, 2], Operations: ['65-63=2'] Exploring Operation: 92/2=46, Resulting Numbers: [94, 46] Generated Node #3: [94, 46] from Operation: 92/2=46 Current State: 48:[94, 46], Operations: ['65-63=2', '92/2=46'] Exploring Operation: 94-46=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 73, 10, 42, 39 ]
21
[ "73-10=63", "42-39=3", "63/3=21" ]
Current State: 21:[73, 10, 42, 39], Operations: [] Exploring Operation: 73-10=63, Resulting Numbers: [42, 39, 63] Generated Node #2: [42, 39, 63] from Operation: 73-10=63 Current State: 21:[42, 39, 63], Operations: ['73-10=63'] Exploring Operation: 42-39=3, Resulting Numbers: [63, 3] Generated Node #3: [63, 3] from Operation: 42-39=3 Current State: 21:[63, 3], Operations: ['73-10=63', '42-39=3'] Exploring Operation: 63/3=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 6, 38, 86, 61 ]
57
[ "38-6=32", "86-61=25", "32+25=57" ]
Current State: 57:[6, 38, 86, 61], Operations: [] Exploring Operation: 38-6=32, Resulting Numbers: [86, 61, 32] Generated Node #2: [86, 61, 32] from Operation: 38-6=32 Current State: 57:[86, 61, 32], Operations: ['38-6=32'] Exploring Operation: 86-61=25, Resulting Numbers: [32, 25] Generated Node #3: [32, 25] from Operation: 86-61=25 Current State: 57:[32, 25], Operations: ['38-6=32', '86-61=25'] Exploring Operation: 32+25=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 22, 4, 94, 37 ]
66
[ "22+94=116", "116/4=29", "37+29=66" ]
Current State: 66:[22, 4, 94, 37], Operations: [] Exploring Operation: 22+94=116, Resulting Numbers: [4, 37, 116] Generated Node #2: [4, 37, 116] from Operation: 22+94=116 Current State: 66:[4, 37, 116], Operations: ['22+94=116'] Exploring Operation: 116/4=29, Resulting Numbers: [37, 29] Generated Node #3: [37, 29] from Operation: 116/4=29 Current State: 66:[37, 29], Operations: ['22+94=116', '116/4=29'] Exploring Operation: 37+29=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 56, 96, 48, 42 ]
30
[ "56-48=8", "96/8=12", "42-12=30" ]
Current State: 30:[56, 96, 48, 42], Operations: [] Exploring Operation: 56-48=8, Resulting Numbers: [96, 42, 8] Generated Node #2: [96, 42, 8] from Operation: 56-48=8 Current State: 30:[96, 42, 8], Operations: ['56-48=8'] Exploring Operation: 96/8=12, Resulting Numbers: [42, 12] Generated Node #3: [42, 12] from Operation: 96/8=12 Current State: 30:[42, 12], Operations: ['56-48=8', '96/8=12'] Exploring Operation: 42-12=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4