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
[ 25, 55, 93, 30 ]
17
[ "25+55=80", "93-30=63", "80-63=17" ]
Current State: 17:[25, 55, 93, 30], Operations: [] Exploring Operation: 25+55=80, Resulting Numbers: [93, 30, 80] Generated Node #2: [93, 30, 80] from Operation: 25+55=80 Current State: 17:[93, 30, 80], Operations: ['25+55=80'] Exploring Operation: 93-30=63, Resulting Numbers: [80, 63] Generated Node #3: [80, 63] from Operation: 93-30=63 Current State: 17:[80, 63], Operations: ['25+55=80', '93-30=63'] Exploring Operation: 80-63=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 48, 46, 41, 98 ]
45
[ "48+46=94", "41+98=139", "139-94=45" ]
Current State: 45:[48, 46, 41, 98], Operations: [] Exploring Operation: 48+46=94, Resulting Numbers: [41, 98, 94] Generated Node #2: [41, 98, 94] from Operation: 48+46=94 Current State: 45:[41, 98, 94], Operations: ['48+46=94'] Exploring Operation: 41+98=139, Resulting Numbers: [94, 139] Generated Node #3: [94, 139] from Operation: 41+98=139 Current State: 45:[94, 139], Operations: ['48+46=94', '41+98=139'] Exploring Operation: 139-94=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 2, 44, 33, 6 ]
26
[ "44-2=42", "42/6=7", "33-7=26" ]
Current State: 26:[2, 44, 33, 6], Operations: [] Exploring Operation: 44-2=42, Resulting Numbers: [33, 6, 42] Generated Node #2: [33, 6, 42] from Operation: 44-2=42 Current State: 26:[33, 6, 42], Operations: ['44-2=42'] Exploring Operation: 42/6=7, Resulting Numbers: [33, 7] Generated Node #3: [33, 7] from Operation: 42/6=7 Current State: 26:[33, 7], Operations: ['44-2=42', '42/6=7'] Exploring Operation: 33-7=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 59, 68, 60, 49 ]
80
[ "59-49=10", "68-60=8", "10*8=80" ]
Current State: 80:[59, 68, 60, 49], Operations: [] Exploring Operation: 59-49=10, Resulting Numbers: [68, 60, 10] Generated Node #2: [68, 60, 10] from Operation: 59-49=10 Current State: 80:[68, 60, 10], Operations: ['59-49=10'] Exploring Operation: 68-60=8, Resulting Numbers: [10, 8] Generated Node #3: [10, 8] from Operation: 68-60=8 Current State: 80:[10, 8], Operations: ['59-49=10', '68-60=8'] Exploring Operation: 10*8=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 9, 70, 10, 68 ]
28
[ "70-68=2", "9*2=18", "10+18=28" ]
Current State: 28:[9, 70, 10, 68], Operations: [] Exploring Operation: 70-68=2, Resulting Numbers: [9, 10, 2] Generated Node #2: [9, 10, 2] from Operation: 70-68=2 Current State: 28:[9, 10, 2], Operations: ['70-68=2'] Exploring Operation: 9*2=18, Resulting Numbers: [10, 18] Generated Node #3: [10, 18] from Operation: 9*2=18 Current State: 28:[10, 18], Operations: ['70-68=2', '9*2=18'] Exploring Operation: 10+18=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 45, 80, 14, 4 ]
32
[ "14+4=18", "80*18=1440", "1440/45=32" ]
Current State: 32:[45, 80, 14, 4], Operations: [] Exploring Operation: 14+4=18, Resulting Numbers: [45, 80, 18] Generated Node #2: [45, 80, 18] from Operation: 14+4=18 Current State: 32:[45, 80, 18], Operations: ['14+4=18'] Exploring Operation: 80*18=1440, Resulting Numbers: [45, 1440] Generated Node #3: [45, 1440] from Operation: 80*18=1440 Current State: 32:[45, 1440], Operations: ['14+4=18', '80*18=1440'] Exploring Operation: 1440/45=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 38, 14, 2, 19 ]
95
[ "38/2=19", "19-14=5", "19*5=95" ]
Current State: 95:[38, 14, 2, 19], Operations: [] Exploring Operation: 38/2=19, Resulting Numbers: [14, 19, 19] Generated Node #2: [14, 19, 19] from Operation: 38/2=19 Current State: 95:[14, 19, 19], Operations: ['38/2=19'] Exploring Operation: 19-14=5, Resulting Numbers: [5] 5,95 equal: Goal Reached Exploring Operation: 19*5=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 85, 86, 89, 60 ]
28
[ "86-85=1", "89-60=29", "29-1=28" ]
Current State: 28:[85, 86, 89, 60], Operations: [] Exploring Operation: 86-85=1, Resulting Numbers: [89, 60, 1] Generated Node #2: [89, 60, 1] from Operation: 86-85=1 Current State: 28:[89, 60, 1], Operations: ['86-85=1'] Exploring Operation: 89-60=29, Resulting Numbers: [1, 29] Generated Node #3: [1, 29] from Operation: 89-60=29 Current State: 28:[1, 29], Operations: ['86-85=1', '89-60=29'] Exploring Operation: 29-1=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 34, 9, 17, 85 ]
79
[ "9*85=765", "765/17=45", "34+45=79" ]
Current State: 79:[34, 9, 17, 85], Operations: [] Exploring Operation: 9*85=765, Resulting Numbers: [34, 17, 765] Generated Node #2: [34, 17, 765] from Operation: 9*85=765 Current State: 79:[34, 17, 765], Operations: ['9*85=765'] Exploring Operation: 765/17=45, Resulting Numbers: [34, 45] Generated Node #3: [34, 45] from Operation: 765/17=45 Current State: 79:[34, 45], Operations: ['9*85=765', '765/17=45'] Exploring Operation: 34+45=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 68, 63, 80, 58 ]
78
[ "68+58=126", "126/63=2", "80-2=78" ]
Current State: 78:[68, 63, 80, 58], Operations: [] Exploring Operation: 68+58=126, Resulting Numbers: [63, 80, 126] Generated Node #2: [63, 80, 126] from Operation: 68+58=126 Current State: 78:[63, 80, 126], Operations: ['68+58=126'] Exploring Operation: 126/63=2, Resulting Numbers: [80, 2] Generated Node #3: [80, 2] from Operation: 126/63=2 Current State: 78:[80, 2], Operations: ['68+58=126', '126/63=2'] Exploring Operation: 80-2=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 30, 32, 48, 18 ]
32
[ "30+32=62", "48-18=30", "62-30=32" ]
Current State: 32:[30, 32, 48, 18], Operations: [] Exploring Operation: 30+32=62, Resulting Numbers: [48, 18, 62] Generated Node #2: [48, 18, 62] from Operation: 30+32=62 Current State: 32:[48, 18, 62], Operations: ['30+32=62'] Exploring Operation: 48-18=30, Resulting Numbers: [62, 30] Generated Node #3: [62, 30] from Operation: 48-18=30 Current State: 32:[62, 30], Operations: ['30+32=62', '48-18=30'] Exploring Operation: 62-30=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 5, 16, 67, 70 ]
32
[ "5+67=72", "72-70=2", "16*2=32" ]
Current State: 32:[5, 16, 67, 70], Operations: [] Exploring Operation: 5+67=72, Resulting Numbers: [16, 70, 72] Generated Node #2: [16, 70, 72] from Operation: 5+67=72 Current State: 32:[16, 70, 72], Operations: ['5+67=72'] Exploring Operation: 72-70=2, Resulting Numbers: [16, 2] Generated Node #3: [16, 2] from Operation: 72-70=2 Current State: 32:[16, 2], Operations: ['5+67=72', '72-70=2'] Exploring Operation: 16*2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 72, 36, 86, 87 ]
37
[ "72-36=36", "87-86=1", "36+1=37" ]
Current State: 37:[72, 36, 86, 87], Operations: [] Exploring Operation: 72-36=36, Resulting Numbers: [86, 87, 36] Generated Node #2: [86, 87, 36] from Operation: 72-36=36 Current State: 37:[86, 87, 36], Operations: ['72-36=36'] Exploring Operation: 87-86=1, Resulting Numbers: [36, 1] Generated Node #3: [36, 1] from Operation: 87-86=1 Current State: 37:[36, 1], Operations: ['72-36=36', '87-86=1'] Exploring Operation: 36+1=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 17, 25, 91, 4 ]
59
[ "25-17=8", "4*8=32", "91-32=59" ]
Current State: 59:[17, 25, 91, 4], Operations: [] Exploring Operation: 25-17=8, Resulting Numbers: [91, 4, 8] Generated Node #2: [91, 4, 8] from Operation: 25-17=8 Current State: 59:[91, 4, 8], Operations: ['25-17=8'] Exploring Operation: 4*8=32, Resulting Numbers: [91, 32] Generated Node #3: [91, 32] from Operation: 4*8=32 Current State: 59:[91, 32], Operations: ['25-17=8', '4*8=32'] Exploring Operation: 91-32=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 29, 42, 6, 87 ]
16
[ "87/29=3", "42+6=48", "48/3=16" ]
Current State: 16:[29, 42, 6, 87], Operations: [] Exploring Operation: 87/29=3, Resulting Numbers: [42, 6, 3] Generated Node #2: [42, 6, 3] from Operation: 87/29=3 Current State: 16:[42, 6, 3], Operations: ['87/29=3'] Exploring Operation: 42+6=48, Resulting Numbers: [3, 48] Generated Node #3: [3, 48] from Operation: 42+6=48 Current State: 16:[3, 48], Operations: ['87/29=3', '42+6=48'] Exploring Operation: 48/3=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 3, 77, 60, 49 ]
54
[ "3*60=180", "77+49=126", "180-126=54" ]
Current State: 54:[3, 77, 60, 49], Operations: [] Exploring Operation: 3*60=180, Resulting Numbers: [77, 49, 180] Generated Node #2: [77, 49, 180] from Operation: 3*60=180 Current State: 54:[77, 49, 180], Operations: ['3*60=180'] Exploring Operation: 77+49=126, Resulting Numbers: [180, 126] Generated Node #3: [180, 126] from Operation: 77+49=126 Current State: 54:[180, 126], Operations: ['3*60=180', '77+49=126'] Exploring Operation: 180-126=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 2, 91, 15, 13 ]
20
[ "15-2=13", "91/13=7", "13+7=20" ]
Current State: 20:[2, 91, 15, 13], Operations: [] Exploring Operation: 15-2=13, Resulting Numbers: [91, 13, 13] Generated Node #2: [91, 13, 13] from Operation: 15-2=13 Current State: 20:[91, 13, 13], Operations: ['15-2=13'] Exploring Operation: 91/13=7, Resulting Numbers: [7] 7,20 equal: Goal Reached Exploring Operation: 13+7=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 17, 55, 81, 55 ]
81
[ "55-55=0", "17*0=0", "81+0=81" ]
Current State: 81:[17, 55, 81, 55], Operations: [] Exploring Operation: 55-55=0, Resulting Numbers: [17, 81, 0] Generated Node #2: [17, 81, 0] from Operation: 55-55=0 Current State: 81:[17, 81, 0], Operations: ['55-55=0'] Exploring Operation: 17*0=0, Resulting Numbers: [81, 0] Generated Node #3: [81, 0] from Operation: 17*0=0 Current State: 81:[81, 0], Operations: ['55-55=0', '17*0=0'] Exploring Operation: 81+0=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 34, 43, 39, 67 ]
69
[ "43-39=4", "34*4=136", "136-67=69" ]
Current State: 69:[34, 43, 39, 67], Operations: [] Exploring Operation: 43-39=4, Resulting Numbers: [34, 67, 4] Generated Node #2: [34, 67, 4] from Operation: 43-39=4 Current State: 69:[34, 67, 4], Operations: ['43-39=4'] Exploring Operation: 34*4=136, Resulting Numbers: [67, 136] Generated Node #3: [67, 136] from Operation: 34*4=136 Current State: 69:[67, 136], Operations: ['43-39=4', '34*4=136'] Exploring Operation: 136-67=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 46, 24, 57, 34 ]
48
[ "46*24=1104", "57-34=23", "1104/23=48" ]
Current State: 48:[46, 24, 57, 34], Operations: [] Exploring Operation: 46*24=1104, Resulting Numbers: [57, 34, 1104] Generated Node #2: [57, 34, 1104] from Operation: 46*24=1104 Current State: 48:[57, 34, 1104], Operations: ['46*24=1104'] Exploring Operation: 57-34=23, Resulting Numbers: [1104, 23] Generated Node #3: [1104, 23] from Operation: 57-34=23 Current State: 48:[1104, 23], Operations: ['46*24=1104', '57-34=23'] Exploring Operation: 1104/23=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 67, 88, 22, 71 ]
71
[ "88-67=21", "22-21=1", "71*1=71" ]
Current State: 71:[67, 88, 22, 71], Operations: [] Exploring Operation: 88-67=21, Resulting Numbers: [22, 71, 21] Generated Node #2: [22, 71, 21] from Operation: 88-67=21 Current State: 71:[22, 71, 21], Operations: ['88-67=21'] Exploring Operation: 22-21=1, Resulting Numbers: [71, 1] Generated Node #3: [71, 1] from Operation: 22-21=1 Current State: 71:[71, 1], Operations: ['88-67=21', '22-21=1'] Exploring Operation: 71*1=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 55, 46, 17, 57 ]
69
[ "55-17=38", "46*57=2622", "2622/38=69" ]
Current State: 69:[55, 46, 17, 57], Operations: [] Exploring Operation: 55-17=38, Resulting Numbers: [46, 57, 38] Generated Node #2: [46, 57, 38] from Operation: 55-17=38 Current State: 69:[46, 57, 38], Operations: ['55-17=38'] Exploring Operation: 46*57=2622, Resulting Numbers: [38, 2622] Generated Node #3: [38, 2622] from Operation: 46*57=2622 Current State: 69:[38, 2622], Operations: ['55-17=38', '46*57=2622'] Exploring Operation: 2622/38=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 8, 42, 38, 98 ]
66
[ "42-38=4", "8*4=32", "98-32=66" ]
Current State: 66:[8, 42, 38, 98], Operations: [] Exploring Operation: 42-38=4, Resulting Numbers: [8, 98, 4] Generated Node #2: [8, 98, 4] from Operation: 42-38=4 Current State: 66:[8, 98, 4], Operations: ['42-38=4'] Exploring Operation: 8*4=32, Resulting Numbers: [98, 32] Generated Node #3: [98, 32] from Operation: 8*4=32 Current State: 66:[98, 32], Operations: ['42-38=4', '8*4=32'] Exploring Operation: 98-32=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 77, 54, 36, 60 ]
37
[ "36*60=2160", "2160/54=40", "77-40=37" ]
Current State: 37:[77, 54, 36, 60], Operations: [] Exploring Operation: 36*60=2160, Resulting Numbers: [77, 54, 2160] Generated Node #2: [77, 54, 2160] from Operation: 36*60=2160 Current State: 37:[77, 54, 2160], Operations: ['36*60=2160'] Exploring Operation: 2160/54=40, Resulting Numbers: [77, 40] Generated Node #3: [77, 40] from Operation: 2160/54=40 Current State: 37:[77, 40], Operations: ['36*60=2160', '2160/54=40'] Exploring Operation: 77-40=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 86, 4, 55, 9 ]
65
[ "86+4=90", "90/9=10", "55+10=65" ]
Current State: 65:[86, 4, 55, 9], Operations: [] Exploring Operation: 86+4=90, Resulting Numbers: [55, 9, 90] Generated Node #2: [55, 9, 90] from Operation: 86+4=90 Current State: 65:[55, 9, 90], Operations: ['86+4=90'] Exploring Operation: 90/9=10, Resulting Numbers: [55, 10] Generated Node #3: [55, 10] from Operation: 90/9=10 Current State: 65:[55, 10], Operations: ['86+4=90', '90/9=10'] Exploring Operation: 55+10=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 16, 13, 4, 3 ]
54
[ "16*4=64", "13-3=10", "64-10=54" ]
Current State: 54:[16, 13, 4, 3], Operations: [] Exploring Operation: 16*4=64, Resulting Numbers: [13, 3, 64] Generated Node #2: [13, 3, 64] from Operation: 16*4=64 Current State: 54:[13, 3, 64], Operations: ['16*4=64'] Exploring Operation: 13-3=10, Resulting Numbers: [64, 10] Generated Node #3: [64, 10] from Operation: 13-3=10 Current State: 54:[64, 10], Operations: ['16*4=64', '13-3=10'] Exploring Operation: 64-10=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 3, 55, 11, 33 ]
64
[ "3*33=99", "99/11=9", "55+9=64" ]
Current State: 64:[3, 55, 11, 33], Operations: [] Exploring Operation: 3*33=99, Resulting Numbers: [55, 11, 99] Generated Node #2: [55, 11, 99] from Operation: 3*33=99 Current State: 64:[55, 11, 99], Operations: ['3*33=99'] Exploring Operation: 99/11=9, Resulting Numbers: [55, 9] Generated Node #3: [55, 9] from Operation: 99/11=9 Current State: 64:[55, 9], Operations: ['3*33=99', '99/11=9'] Exploring Operation: 55+9=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 83, 44, 62, 41 ]
63
[ "83-62=21", "44-41=3", "21*3=63" ]
Current State: 63:[83, 44, 62, 41], Operations: [] Exploring Operation: 83-62=21, Resulting Numbers: [44, 41, 21] Generated Node #2: [44, 41, 21] from Operation: 83-62=21 Current State: 63:[44, 41, 21], Operations: ['83-62=21'] Exploring Operation: 44-41=3, Resulting Numbers: [21, 3] Generated Node #3: [21, 3] from Operation: 44-41=3 Current State: 63:[21, 3], Operations: ['83-62=21', '44-41=3'] Exploring Operation: 21*3=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 29, 50, 12, 4 ]
96
[ "50-29=21", "4*21=84", "12+84=96" ]
Current State: 96:[29, 50, 12, 4], Operations: [] Exploring Operation: 50-29=21, Resulting Numbers: [12, 4, 21] Generated Node #2: [12, 4, 21] from Operation: 50-29=21 Current State: 96:[12, 4, 21], Operations: ['50-29=21'] Exploring Operation: 4*21=84, Resulting Numbers: [12, 84] Generated Node #3: [12, 84] from Operation: 4*21=84 Current State: 96:[12, 84], Operations: ['50-29=21', '4*21=84'] Exploring Operation: 12+84=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 19, 89, 14, 6 ]
50
[ "89-19=70", "14+6=20", "70-20=50" ]
Current State: 50:[19, 89, 14, 6], Operations: [] Exploring Operation: 89-19=70, Resulting Numbers: [14, 6, 70] Generated Node #2: [14, 6, 70] from Operation: 89-19=70 Current State: 50:[14, 6, 70], Operations: ['89-19=70'] Exploring Operation: 14+6=20, Resulting Numbers: [70, 20] Generated Node #3: [70, 20] from Operation: 14+6=20 Current State: 50:[70, 20], Operations: ['89-19=70', '14+6=20'] Exploring Operation: 70-20=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 10, 92, 44, 12 ]
14
[ "92-44=48", "48/12=4", "10+4=14" ]
Current State: 14:[10, 92, 44, 12], Operations: [] Exploring Operation: 92-44=48, Resulting Numbers: [10, 12, 48] Generated Node #2: [10, 12, 48] from Operation: 92-44=48 Current State: 14:[10, 12, 48], Operations: ['92-44=48'] Exploring Operation: 48/12=4, Resulting Numbers: [10, 4] Generated Node #3: [10, 4] from Operation: 48/12=4 Current State: 14:[10, 4], Operations: ['92-44=48', '48/12=4'] Exploring Operation: 10+4=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 30, 3, 70, 15 ]
24
[ "30/15=2", "70+2=72", "72/3=24" ]
Current State: 24:[30, 3, 70, 15], Operations: [] Exploring Operation: 30/15=2, Resulting Numbers: [3, 70, 2] Generated Node #2: [3, 70, 2] from Operation: 30/15=2 Current State: 24:[3, 70, 2], Operations: ['30/15=2'] Exploring Operation: 70+2=72, Resulting Numbers: [3, 72] Generated Node #3: [3, 72] from Operation: 70+2=72 Current State: 24:[3, 72], Operations: ['30/15=2', '70+2=72'] Exploring Operation: 72/3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 88, 8, 70, 13 ]
54
[ "88+70=158", "8*13=104", "158-104=54" ]
Current State: 54:[88, 8, 70, 13], Operations: [] Exploring Operation: 88+70=158, Resulting Numbers: [8, 13, 158] Generated Node #2: [8, 13, 158] from Operation: 88+70=158 Current State: 54:[8, 13, 158], Operations: ['88+70=158'] Exploring Operation: 8*13=104, Resulting Numbers: [158, 104] Generated Node #3: [158, 104] from Operation: 8*13=104 Current State: 54:[158, 104], Operations: ['88+70=158', '8*13=104'] Exploring Operation: 158-104=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 49, 5, 7, 88 ]
90
[ "49/7=7", "88-5=83", "7+83=90" ]
Current State: 90:[49, 5, 7, 88], Operations: [] Exploring Operation: 49/7=7, Resulting Numbers: [5, 88, 7] Generated Node #2: [5, 88, 7] from Operation: 49/7=7 Current State: 90:[5, 88, 7], Operations: ['49/7=7'] Exploring Operation: 88-5=83, Resulting Numbers: [7, 83] Generated Node #3: [7, 83] from Operation: 88-5=83 Current State: 90:[7, 83], Operations: ['49/7=7', '88-5=83'] Exploring Operation: 7+83=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 93, 57, 93, 70 ]
70
[ "93-93=0", "57*0=0", "70+0=70" ]
Current State: 70:[93, 57, 93, 70], Operations: [] Exploring Operation: 93-93=0, Resulting Numbers: [57, 70, 0] Generated Node #2: [57, 70, 0] from Operation: 93-93=0 Current State: 70:[57, 70, 0], Operations: ['93-93=0'] Exploring Operation: 57*0=0, Resulting Numbers: [70, 0] Generated Node #3: [70, 0] from Operation: 57*0=0 Current State: 70:[70, 0], Operations: ['93-93=0', '57*0=0'] Exploring Operation: 70+0=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 61, 6, 53, 26 ]
74
[ "61-53=8", "6*8=48", "26+48=74" ]
Current State: 74:[61, 6, 53, 26], Operations: [] Exploring Operation: 61-53=8, Resulting Numbers: [6, 26, 8] Generated Node #2: [6, 26, 8] from Operation: 61-53=8 Current State: 74:[6, 26, 8], Operations: ['61-53=8'] Exploring Operation: 6*8=48, Resulting Numbers: [26, 48] Generated Node #3: [26, 48] from Operation: 6*8=48 Current State: 74:[26, 48], Operations: ['61-53=8', '6*8=48'] Exploring Operation: 26+48=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 46, 15, 49, 55 ]
37
[ "46-15=31", "55-49=6", "31+6=37" ]
Current State: 37:[46, 15, 49, 55], Operations: [] Exploring Operation: 46-15=31, Resulting Numbers: [49, 55, 31] Generated Node #2: [49, 55, 31] from Operation: 46-15=31 Current State: 37:[49, 55, 31], Operations: ['46-15=31'] Exploring Operation: 55-49=6, Resulting Numbers: [31, 6] Generated Node #3: [31, 6] from Operation: 55-49=6 Current State: 37:[31, 6], Operations: ['46-15=31', '55-49=6'] Exploring Operation: 31+6=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 2, 95, 5, 17 ]
90
[ "5*17=85", "95+85=180", "180/2=90" ]
Current State: 90:[2, 95, 5, 17], Operations: [] Exploring Operation: 5*17=85, Resulting Numbers: [2, 95, 85] Generated Node #2: [2, 95, 85] from Operation: 5*17=85 Current State: 90:[2, 95, 85], Operations: ['5*17=85'] Exploring Operation: 95+85=180, Resulting Numbers: [2, 180] Generated Node #3: [2, 180] from Operation: 95+85=180 Current State: 90:[2, 180], Operations: ['5*17=85', '95+85=180'] Exploring Operation: 180/2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 24, 35, 94, 18 ]
65
[ "35-24=11", "94-18=76", "76-11=65" ]
Current State: 65:[24, 35, 94, 18], Operations: [] Exploring Operation: 35-24=11, Resulting Numbers: [94, 18, 11] Generated Node #2: [94, 18, 11] from Operation: 35-24=11 Current State: 65:[94, 18, 11], Operations: ['35-24=11'] Exploring Operation: 94-18=76, Resulting Numbers: [11, 76] Generated Node #3: [11, 76] from Operation: 94-18=76 Current State: 65:[11, 76], Operations: ['35-24=11', '94-18=76'] Exploring Operation: 76-11=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 2, 81, 27, 75 ]
70
[ "75-2=73", "81/27=3", "73-3=70" ]
Current State: 70:[2, 81, 27, 75], Operations: [] Exploring Operation: 75-2=73, Resulting Numbers: [81, 27, 73] Generated Node #2: [81, 27, 73] from Operation: 75-2=73 Current State: 70:[81, 27, 73], Operations: ['75-2=73'] Exploring Operation: 81/27=3, Resulting Numbers: [73, 3] Generated Node #3: [73, 3] from Operation: 81/27=3 Current State: 70:[73, 3], Operations: ['75-2=73', '81/27=3'] Exploring Operation: 73-3=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 20, 36, 66, 14 ]
64
[ "36-20=16", "66+14=80", "80-16=64" ]
Current State: 64:[20, 36, 66, 14], Operations: [] Exploring Operation: 36-20=16, Resulting Numbers: [66, 14, 16] Generated Node #2: [66, 14, 16] from Operation: 36-20=16 Current State: 64:[66, 14, 16], Operations: ['36-20=16'] Exploring Operation: 66+14=80, Resulting Numbers: [16, 80] Generated Node #3: [16, 80] from Operation: 66+14=80 Current State: 64:[16, 80], Operations: ['36-20=16', '66+14=80'] Exploring Operation: 80-16=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 72, 90, 32, 4 ]
56
[ "90-72=18", "32-18=14", "4*14=56" ]
Current State: 56:[72, 90, 32, 4], Operations: [] Exploring Operation: 90-72=18, Resulting Numbers: [32, 4, 18] Generated Node #2: [32, 4, 18] from Operation: 90-72=18 Current State: 56:[32, 4, 18], Operations: ['90-72=18'] Exploring Operation: 32-18=14, Resulting Numbers: [4, 14] Generated Node #3: [4, 14] from Operation: 32-18=14 Current State: 56:[4, 14], Operations: ['90-72=18', '32-18=14'] Exploring Operation: 4*14=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 23, 26, 28, 31 ]
56
[ "26-23=3", "28+31=59", "59-3=56" ]
Current State: 56:[23, 26, 28, 31], Operations: [] Exploring Operation: 26-23=3, Resulting Numbers: [28, 31, 3] Generated Node #2: [28, 31, 3] from Operation: 26-23=3 Current State: 56:[28, 31, 3], Operations: ['26-23=3'] Exploring Operation: 28+31=59, Resulting Numbers: [3, 59] Generated Node #3: [3, 59] from Operation: 28+31=59 Current State: 56:[3, 59], Operations: ['26-23=3', '28+31=59'] Exploring Operation: 59-3=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 88, 82, 86, 43 ]
76
[ "82*86=7052", "7052/43=164", "164-88=76" ]
Current State: 76:[88, 82, 86, 43], Operations: [] Exploring Operation: 82*86=7052, Resulting Numbers: [88, 43, 7052] Generated Node #2: [88, 43, 7052] from Operation: 82*86=7052 Current State: 76:[88, 43, 7052], Operations: ['82*86=7052'] Exploring Operation: 7052/43=164, Resulting Numbers: [88, 164] Generated Node #3: [88, 164] from Operation: 7052/43=164 Current State: 76:[88, 164], Operations: ['82*86=7052', '7052/43=164'] Exploring Operation: 164-88=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 64, 60, 94, 65 ]
25
[ "64-60=4", "94-65=29", "29-4=25" ]
Current State: 25:[64, 60, 94, 65], Operations: [] Exploring Operation: 64-60=4, Resulting Numbers: [94, 65, 4] Generated Node #2: [94, 65, 4] from Operation: 64-60=4 Current State: 25:[94, 65, 4], Operations: ['64-60=4'] Exploring Operation: 94-65=29, Resulting Numbers: [4, 29] Generated Node #3: [4, 29] from Operation: 94-65=29 Current State: 25:[4, 29], Operations: ['64-60=4', '94-65=29'] Exploring Operation: 29-4=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 53, 94, 93, 3 ]
50
[ "53-3=50", "94-93=1", "50*1=50" ]
Current State: 50:[53, 94, 93, 3], Operations: [] Exploring Operation: 53-3=50, Resulting Numbers: [94, 93, 50] Generated Node #2: [94, 93, 50] from Operation: 53-3=50 Current State: 50:[94, 93, 50], Operations: ['53-3=50'] Exploring Operation: 94-93=1, Resulting Numbers: [50, 1] Generated Node #3: [50, 1] from Operation: 94-93=1 Current State: 50:[50, 1], Operations: ['53-3=50', '94-93=1'] Exploring Operation: 50*1=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 15, 25, 75, 79 ]
10
[ "15+25=40", "79-75=4", "40/4=10" ]
Current State: 10:[15, 25, 75, 79], Operations: [] Exploring Operation: 15+25=40, Resulting Numbers: [75, 79, 40] Generated Node #2: [75, 79, 40] from Operation: 15+25=40 Current State: 10:[75, 79, 40], Operations: ['15+25=40'] Exploring Operation: 79-75=4, Resulting Numbers: [40, 4] Generated Node #3: [40, 4] from Operation: 79-75=4 Current State: 10:[40, 4], Operations: ['15+25=40', '79-75=4'] Exploring Operation: 40/4=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 42, 90, 61, 55 ]
57
[ "61-55=6", "90/6=15", "42+15=57" ]
Current State: 57:[42, 90, 61, 55], Operations: [] Exploring Operation: 61-55=6, Resulting Numbers: [42, 90, 6] Generated Node #2: [42, 90, 6] from Operation: 61-55=6 Current State: 57:[42, 90, 6], Operations: ['61-55=6'] Exploring Operation: 90/6=15, Resulting Numbers: [42, 15] Generated Node #3: [42, 15] from Operation: 90/6=15 Current State: 57:[42, 15], Operations: ['61-55=6', '90/6=15'] Exploring Operation: 42+15=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 65, 70, 94, 16 ]
14
[ "70-65=5", "16*5=80", "94-80=14" ]
Current State: 14:[65, 70, 94, 16], Operations: [] Exploring Operation: 70-65=5, Resulting Numbers: [94, 16, 5] Generated Node #2: [94, 16, 5] from Operation: 70-65=5 Current State: 14:[94, 16, 5], Operations: ['70-65=5'] Exploring Operation: 16*5=80, Resulting Numbers: [94, 80] Generated Node #3: [94, 80] from Operation: 16*5=80 Current State: 14:[94, 80], Operations: ['70-65=5', '16*5=80'] Exploring Operation: 94-80=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 40, 22, 20, 94 ]
87
[ "22-20=2", "94/2=47", "40+47=87" ]
Current State: 87:[40, 22, 20, 94], Operations: [] Exploring Operation: 22-20=2, Resulting Numbers: [40, 94, 2] Generated Node #2: [40, 94, 2] from Operation: 22-20=2 Current State: 87:[40, 94, 2], Operations: ['22-20=2'] Exploring Operation: 94/2=47, Resulting Numbers: [40, 47] Generated Node #3: [40, 47] from Operation: 94/2=47 Current State: 87:[40, 47], Operations: ['22-20=2', '94/2=47'] Exploring Operation: 40+47=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 92, 53, 35, 58 ]
52
[ "92+53=145", "35+58=93", "145-93=52" ]
Current State: 52:[92, 53, 35, 58], Operations: [] Exploring Operation: 92+53=145, Resulting Numbers: [35, 58, 145] Generated Node #2: [35, 58, 145] from Operation: 92+53=145 Current State: 52:[35, 58, 145], Operations: ['92+53=145'] Exploring Operation: 35+58=93, Resulting Numbers: [145, 93] Generated Node #3: [145, 93] from Operation: 35+58=93 Current State: 52:[145, 93], Operations: ['92+53=145', '35+58=93'] Exploring Operation: 145-93=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 82, 9, 13, 7 ]
49
[ "82+9=91", "91/13=7", "7*7=49" ]
Current State: 49:[82, 9, 13, 7], Operations: [] Exploring Operation: 82+9=91, Resulting Numbers: [13, 7, 91] Generated Node #2: [13, 7, 91] from Operation: 82+9=91 Current State: 49:[13, 7, 91], Operations: ['82+9=91'] Exploring Operation: 91/13=7, Resulting Numbers: [7, 7] Generated Node #3: [7, 7] from Operation: 91/13=7 Current State: 49:[7, 7], Operations: ['82+9=91', '91/13=7'] Exploring Operation: 7*7=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 25, 88, 60, 70 ]
86
[ "60-25=35", "70/35=2", "88-2=86" ]
Current State: 86:[25, 88, 60, 70], Operations: [] Exploring Operation: 60-25=35, Resulting Numbers: [88, 70, 35] Generated Node #2: [88, 70, 35] from Operation: 60-25=35 Current State: 86:[88, 70, 35], Operations: ['60-25=35'] Exploring Operation: 70/35=2, Resulting Numbers: [88, 2] Generated Node #3: [88, 2] from Operation: 70/35=2 Current State: 86:[88, 2], Operations: ['60-25=35', '70/35=2'] Exploring Operation: 88-2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 8, 39, 37, 58 ]
54
[ "39-37=2", "8/2=4", "58-4=54" ]
Current State: 54:[8, 39, 37, 58], Operations: [] Exploring Operation: 39-37=2, Resulting Numbers: [8, 58, 2] Generated Node #2: [8, 58, 2] from Operation: 39-37=2 Current State: 54:[8, 58, 2], Operations: ['39-37=2'] Exploring Operation: 8/2=4, Resulting Numbers: [58, 4] Generated Node #3: [58, 4] from Operation: 8/2=4 Current State: 54:[58, 4], Operations: ['39-37=2', '8/2=4'] Exploring Operation: 58-4=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 72, 32, 67, 3 ]
74
[ "67-3=64", "64/32=2", "72+2=74" ]
Current State: 74:[72, 32, 67, 3], Operations: [] Exploring Operation: 67-3=64, Resulting Numbers: [72, 32, 64] Generated Node #2: [72, 32, 64] from Operation: 67-3=64 Current State: 74:[72, 32, 64], Operations: ['67-3=64'] Exploring Operation: 64/32=2, Resulting Numbers: [72, 2] Generated Node #3: [72, 2] from Operation: 64/32=2 Current State: 74:[72, 2], Operations: ['67-3=64', '64/32=2'] Exploring Operation: 72+2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 25, 49, 67, 16 ]
59
[ "49-25=24", "67+16=83", "83-24=59" ]
Current State: 59:[25, 49, 67, 16], Operations: [] Exploring Operation: 49-25=24, Resulting Numbers: [67, 16, 24] Generated Node #2: [67, 16, 24] from Operation: 49-25=24 Current State: 59:[67, 16, 24], Operations: ['49-25=24'] Exploring Operation: 67+16=83, Resulting Numbers: [24, 83] Generated Node #3: [24, 83] from Operation: 67+16=83 Current State: 59:[24, 83], Operations: ['49-25=24', '67+16=83'] Exploring Operation: 83-24=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 43, 18, 89, 1 ]
64
[ "43-18=25", "89*1=89", "89-25=64" ]
Current State: 64:[43, 18, 89, 1], Operations: [] Exploring Operation: 43-18=25, Resulting Numbers: [89, 1, 25] Generated Node #2: [89, 1, 25] from Operation: 43-18=25 Current State: 64:[89, 1, 25], Operations: ['43-18=25'] Exploring Operation: 89*1=89, Resulting Numbers: [25, 89] Generated Node #3: [25, 89] from Operation: 89*1=89 Current State: 64:[25, 89], Operations: ['43-18=25', '89*1=89'] Exploring Operation: 89-25=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 95, 43, 18, 52 ]
19
[ "95-43=52", "52/52=1", "18+1=19" ]
Current State: 19:[95, 43, 18, 52], Operations: [] Exploring Operation: 95-43=52, Resulting Numbers: [18, 52, 52] Generated Node #2: [18, 52, 52] from Operation: 95-43=52 Current State: 19:[18, 52, 52], Operations: ['95-43=52'] Exploring Operation: 52/52=1, Resulting Numbers: [18, 1] Generated Node #3: [18, 1] from Operation: 52/52=1 Current State: 19:[18, 1], Operations: ['95-43=52', '52/52=1'] Exploring Operation: 18+1=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 77, 56, 46, 31 ]
57
[ "77-46=31", "31/31=1", "56+1=57" ]
Current State: 57:[77, 56, 46, 31], Operations: [] Exploring Operation: 77-46=31, Resulting Numbers: [56, 31, 31] Generated Node #2: [56, 31, 31] from Operation: 77-46=31 Current State: 57:[56, 31, 31], Operations: ['77-46=31'] Exploring Operation: 31/31=1, Resulting Numbers: [56, 1] Generated Node #3: [56, 1] from Operation: 31/31=1 Current State: 57:[56, 1], Operations: ['77-46=31', '31/31=1'] Exploring Operation: 56+1=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 80, 13, 63, 9 ]
13
[ "80-13=67", "63-9=54", "67-54=13" ]
Current State: 13:[80, 13, 63, 9], Operations: [] Exploring Operation: 80-13=67, Resulting Numbers: [63, 9, 67] Generated Node #2: [63, 9, 67] from Operation: 80-13=67 Current State: 13:[63, 9, 67], Operations: ['80-13=67'] Exploring Operation: 63-9=54, Resulting Numbers: [67, 54] Generated Node #3: [67, 54] from Operation: 63-9=54 Current State: 13:[67, 54], Operations: ['80-13=67', '63-9=54'] Exploring Operation: 67-54=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 92, 2, 6, 71 ]
56
[ "92-2=90", "90/6=15", "71-15=56" ]
Current State: 56:[92, 2, 6, 71], Operations: [] Exploring Operation: 92-2=90, Resulting Numbers: [6, 71, 90] Generated Node #2: [6, 71, 90] from Operation: 92-2=90 Current State: 56:[6, 71, 90], Operations: ['92-2=90'] Exploring Operation: 90/6=15, Resulting Numbers: [71, 15] Generated Node #3: [71, 15] from Operation: 90/6=15 Current State: 56:[71, 15], Operations: ['92-2=90', '90/6=15'] Exploring Operation: 71-15=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 18, 50, 31, 41 ]
62
[ "18*31=558", "50-41=9", "558/9=62" ]
Current State: 62:[18, 50, 31, 41], Operations: [] Exploring Operation: 18*31=558, Resulting Numbers: [50, 41, 558] Generated Node #2: [50, 41, 558] from Operation: 18*31=558 Current State: 62:[50, 41, 558], Operations: ['18*31=558'] Exploring Operation: 50-41=9, Resulting Numbers: [558, 9] Generated Node #3: [558, 9] from Operation: 50-41=9 Current State: 62:[558, 9], Operations: ['18*31=558', '50-41=9'] Exploring Operation: 558/9=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 89, 64, 27, 78 ]
76
[ "89-64=25", "78-27=51", "25+51=76" ]
Current State: 76:[89, 64, 27, 78], Operations: [] Exploring Operation: 89-64=25, Resulting Numbers: [27, 78, 25] Generated Node #2: [27, 78, 25] from Operation: 89-64=25 Current State: 76:[27, 78, 25], Operations: ['89-64=25'] Exploring Operation: 78-27=51, Resulting Numbers: [25, 51] Generated Node #3: [25, 51] from Operation: 78-27=51 Current State: 76:[25, 51], Operations: ['89-64=25', '78-27=51'] Exploring Operation: 25+51=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 41, 99, 29, 34 ]
17
[ "99-41=58", "29*34=986", "986/58=17" ]
Current State: 17:[41, 99, 29, 34], Operations: [] Exploring Operation: 99-41=58, Resulting Numbers: [29, 34, 58] Generated Node #2: [29, 34, 58] from Operation: 99-41=58 Current State: 17:[29, 34, 58], Operations: ['99-41=58'] Exploring Operation: 29*34=986, Resulting Numbers: [58, 986] Generated Node #3: [58, 986] from Operation: 29*34=986 Current State: 17:[58, 986], Operations: ['99-41=58', '29*34=986'] Exploring Operation: 986/58=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 2, 46, 40, 49 ]
52
[ "46-40=6", "6/2=3", "49+3=52" ]
Current State: 52:[2, 46, 40, 49], Operations: [] Exploring Operation: 46-40=6, Resulting Numbers: [2, 49, 6] Generated Node #2: [2, 49, 6] from Operation: 46-40=6 Current State: 52:[2, 49, 6], Operations: ['46-40=6'] Exploring Operation: 6/2=3, Resulting Numbers: [49, 3] Generated Node #3: [49, 3] from Operation: 6/2=3 Current State: 52:[49, 3], Operations: ['46-40=6', '6/2=3'] Exploring Operation: 49+3=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 20, 54, 38, 34 ]
30
[ "54-20=34", "38-34=4", "34-4=30" ]
Current State: 30:[20, 54, 38, 34], Operations: [] Exploring Operation: 54-20=34, Resulting Numbers: [38, 34, 34] Generated Node #2: [38, 34, 34] from Operation: 54-20=34 Current State: 30:[38, 34, 34], Operations: ['54-20=34'] Exploring Operation: 38-34=4, Resulting Numbers: [4] 4,30 equal: Goal Reached Exploring Operation: 34-4=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 37, 62, 20, 67 ]
93
[ "67-37=30", "62*30=1860", "1860/20=93" ]
Current State: 93:[37, 62, 20, 67], Operations: [] Exploring Operation: 67-37=30, Resulting Numbers: [62, 20, 30] Generated Node #2: [62, 20, 30] from Operation: 67-37=30 Current State: 93:[62, 20, 30], Operations: ['67-37=30'] Exploring Operation: 62*30=1860, Resulting Numbers: [20, 1860] Generated Node #3: [20, 1860] from Operation: 62*30=1860 Current State: 93:[20, 1860], Operations: ['67-37=30', '62*30=1860'] Exploring Operation: 1860/20=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 15, 30, 22, 96 ]
29
[ "15+30=45", "96-22=74", "74-45=29" ]
Current State: 29:[15, 30, 22, 96], Operations: [] Exploring Operation: 15+30=45, Resulting Numbers: [22, 96, 45] Generated Node #2: [22, 96, 45] from Operation: 15+30=45 Current State: 29:[22, 96, 45], Operations: ['15+30=45'] Exploring Operation: 96-22=74, Resulting Numbers: [45, 74] Generated Node #3: [45, 74] from Operation: 96-22=74 Current State: 29:[45, 74], Operations: ['15+30=45', '96-22=74'] Exploring Operation: 74-45=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 96, 54, 46, 75 ]
92
[ "96+54=150", "46*150=6900", "6900/75=92" ]
Current State: 92:[96, 54, 46, 75], Operations: [] Exploring Operation: 96+54=150, Resulting Numbers: [46, 75, 150] Generated Node #2: [46, 75, 150] from Operation: 96+54=150 Current State: 92:[46, 75, 150], Operations: ['96+54=150'] Exploring Operation: 46*150=6900, Resulting Numbers: [75, 6900] Generated Node #3: [75, 6900] from Operation: 46*150=6900 Current State: 92:[75, 6900], Operations: ['96+54=150', '46*150=6900'] Exploring Operation: 6900/75=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 18, 52, 49, 21 ]
93
[ "18*52=936", "49*21=1029", "1029-936=93" ]
Current State: 93:[18, 52, 49, 21], Operations: [] Exploring Operation: 18*52=936, Resulting Numbers: [49, 21, 936] Generated Node #2: [49, 21, 936] from Operation: 18*52=936 Current State: 93:[49, 21, 936], Operations: ['18*52=936'] Exploring Operation: 49*21=1029, Resulting Numbers: [936, 1029] Generated Node #3: [936, 1029] from Operation: 49*21=1029 Current State: 93:[936, 1029], Operations: ['18*52=936', '49*21=1029'] Exploring Operation: 1029-936=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 64, 61, 36, 62 ]
79
[ "64-62=2", "36/2=18", "61+18=79" ]
Current State: 79:[64, 61, 36, 62], Operations: [] Exploring Operation: 64-62=2, Resulting Numbers: [61, 36, 2] Generated Node #2: [61, 36, 2] from Operation: 64-62=2 Current State: 79:[61, 36, 2], Operations: ['64-62=2'] Exploring Operation: 36/2=18, Resulting Numbers: [61, 18] Generated Node #3: [61, 18] from Operation: 36/2=18 Current State: 79:[61, 18], Operations: ['64-62=2', '36/2=18'] Exploring Operation: 61+18=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 75, 5, 81, 96 ]
80
[ "81-75=6", "5*96=480", "480/6=80" ]
Current State: 80:[75, 5, 81, 96], Operations: [] Exploring Operation: 81-75=6, Resulting Numbers: [5, 96, 6] Generated Node #2: [5, 96, 6] from Operation: 81-75=6 Current State: 80:[5, 96, 6], Operations: ['81-75=6'] Exploring Operation: 5*96=480, Resulting Numbers: [6, 480] Generated Node #3: [6, 480] from Operation: 5*96=480 Current State: 80:[6, 480], Operations: ['81-75=6', '5*96=480'] Exploring Operation: 480/6=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 36, 67, 98, 42 ]
47
[ "36+67=103", "98-42=56", "103-56=47" ]
Current State: 47:[36, 67, 98, 42], Operations: [] Exploring Operation: 36+67=103, Resulting Numbers: [98, 42, 103] Generated Node #2: [98, 42, 103] from Operation: 36+67=103 Current State: 47:[98, 42, 103], Operations: ['36+67=103'] Exploring Operation: 98-42=56, Resulting Numbers: [103, 56] Generated Node #3: [103, 56] from Operation: 98-42=56 Current State: 47:[103, 56], Operations: ['36+67=103', '98-42=56'] Exploring Operation: 103-56=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 9, 48, 9, 20 ]
86
[ "9+48=57", "9+20=29", "57+29=86" ]
Current State: 86:[9, 48, 9, 20], Operations: [] Exploring Operation: 9+48=57, Resulting Numbers: [20, 57] Generated Node #2: [20, 57] from Operation: 9+48=57 Current State: 86:[20, 57], Operations: ['9+48=57'] Exploring Operation: 9+20=29, Resulting Numbers: [57, 29] Generated Node #3: [57, 29] from Operation: 9+20=29 Current State: 86:[57, 29], Operations: ['9+48=57', '9+20=29'] Exploring Operation: 57+29=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 30, 66, 6, 21 ]
92
[ "30/6=5", "66+21=87", "5+87=92" ]
Current State: 92:[30, 66, 6, 21], Operations: [] Exploring Operation: 30/6=5, Resulting Numbers: [66, 21, 5] Generated Node #2: [66, 21, 5] from Operation: 30/6=5 Current State: 92:[66, 21, 5], Operations: ['30/6=5'] Exploring Operation: 66+21=87, Resulting Numbers: [5, 87] Generated Node #3: [5, 87] from Operation: 66+21=87 Current State: 92:[5, 87], Operations: ['30/6=5', '66+21=87'] Exploring Operation: 5+87=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 25, 85, 2, 10 ]
45
[ "25+85=110", "110/2=55", "55-10=45" ]
Current State: 45:[25, 85, 2, 10], Operations: [] Exploring Operation: 25+85=110, Resulting Numbers: [2, 10, 110] Generated Node #2: [2, 10, 110] from Operation: 25+85=110 Current State: 45:[2, 10, 110], Operations: ['25+85=110'] Exploring Operation: 110/2=55, Resulting Numbers: [10, 55] Generated Node #3: [10, 55] from Operation: 110/2=55 Current State: 45:[10, 55], Operations: ['25+85=110', '110/2=55'] Exploring Operation: 55-10=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 71, 4, 56, 14 ]
72
[ "56/4=14", "14/14=1", "71+1=72" ]
Current State: 72:[71, 4, 56, 14], Operations: [] Exploring Operation: 56/4=14, Resulting Numbers: [71, 14, 14] Generated Node #2: [71, 14, 14] from Operation: 56/4=14 Current State: 72:[71, 14, 14], Operations: ['56/4=14'] Exploring Operation: 14/14=1, Resulting Numbers: [71, 1] Generated Node #3: [71, 1] from Operation: 14/14=1 Current State: 72:[71, 1], Operations: ['56/4=14', '14/14=1'] Exploring Operation: 71+1=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 20, 50, 17, 25 ]
20
[ "25-17=8", "50*8=400", "400/20=20" ]
Current State: 20:[20, 50, 17, 25], Operations: [] Exploring Operation: 25-17=8, Resulting Numbers: [20, 50, 8] Generated Node #2: [20, 50, 8] from Operation: 25-17=8 Current State: 20:[20, 50, 8], Operations: ['25-17=8'] Exploring Operation: 50*8=400, Resulting Numbers: [20, 400] Generated Node #3: [20, 400] from Operation: 50*8=400 Current State: 20:[20, 400], Operations: ['25-17=8', '50*8=400'] Exploring Operation: 400/20=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 94, 69, 71, 88 ]
42
[ "94-69=25", "88-71=17", "25+17=42" ]
Current State: 42:[94, 69, 71, 88], Operations: [] Exploring Operation: 94-69=25, Resulting Numbers: [71, 88, 25] Generated Node #2: [71, 88, 25] from Operation: 94-69=25 Current State: 42:[71, 88, 25], Operations: ['94-69=25'] Exploring Operation: 88-71=17, Resulting Numbers: [25, 17] Generated Node #3: [25, 17] from Operation: 88-71=17 Current State: 42:[25, 17], Operations: ['94-69=25', '88-71=17'] Exploring Operation: 25+17=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 26, 47, 52, 39 ]
65
[ "39-26=13", "52-47=5", "13*5=65" ]
Current State: 65:[26, 47, 52, 39], Operations: [] Exploring Operation: 39-26=13, Resulting Numbers: [47, 52, 13] Generated Node #2: [47, 52, 13] from Operation: 39-26=13 Current State: 65:[47, 52, 13], Operations: ['39-26=13'] Exploring Operation: 52-47=5, Resulting Numbers: [13, 5] Generated Node #3: [13, 5] from Operation: 52-47=5 Current State: 65:[13, 5], Operations: ['39-26=13', '52-47=5'] Exploring Operation: 13*5=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 52, 32, 23, 36 ]
56
[ "32-23=9", "36/9=4", "52+4=56" ]
Current State: 56:[52, 32, 23, 36], Operations: [] Exploring Operation: 32-23=9, Resulting Numbers: [52, 36, 9] Generated Node #2: [52, 36, 9] from Operation: 32-23=9 Current State: 56:[52, 36, 9], Operations: ['32-23=9'] Exploring Operation: 36/9=4, Resulting Numbers: [52, 4] Generated Node #3: [52, 4] from Operation: 36/9=4 Current State: 56:[52, 4], Operations: ['32-23=9', '36/9=4'] Exploring Operation: 52+4=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 46, 63, 13, 21 ]
56
[ "46+13=59", "63/21=3", "59-3=56" ]
Current State: 56:[46, 63, 13, 21], Operations: [] Exploring Operation: 46+13=59, Resulting Numbers: [63, 21, 59] Generated Node #2: [63, 21, 59] from Operation: 46+13=59 Current State: 56:[63, 21, 59], Operations: ['46+13=59'] Exploring Operation: 63/21=3, Resulting Numbers: [59, 3] Generated Node #3: [59, 3] from Operation: 63/21=3 Current State: 56:[59, 3], Operations: ['46+13=59', '63/21=3'] Exploring Operation: 59-3=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 95, 57, 89, 39 ]
89
[ "95-57=38", "39-38=1", "89*1=89" ]
Current State: 89:[95, 57, 89, 39], Operations: [] Exploring Operation: 95-57=38, Resulting Numbers: [89, 39, 38] Generated Node #2: [89, 39, 38] from Operation: 95-57=38 Current State: 89:[89, 39, 38], Operations: ['95-57=38'] Exploring Operation: 39-38=1, Resulting Numbers: [89, 1] Generated Node #3: [89, 1] from Operation: 39-38=1 Current State: 89:[89, 1], Operations: ['95-57=38', '39-38=1'] Exploring Operation: 89*1=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 22, 16, 77, 42 ]
73
[ "22+16=38", "77-42=35", "38+35=73" ]
Current State: 73:[22, 16, 77, 42], Operations: [] Exploring Operation: 22+16=38, Resulting Numbers: [77, 42, 38] Generated Node #2: [77, 42, 38] from Operation: 22+16=38 Current State: 73:[77, 42, 38], Operations: ['22+16=38'] Exploring Operation: 77-42=35, Resulting Numbers: [38, 35] Generated Node #3: [38, 35] from Operation: 77-42=35 Current State: 73:[38, 35], Operations: ['22+16=38', '77-42=35'] Exploring Operation: 38+35=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 81, 51, 88, 11 ]
76
[ "81+51=132", "132/11=12", "88-12=76" ]
Current State: 76:[81, 51, 88, 11], Operations: [] Exploring Operation: 81+51=132, Resulting Numbers: [88, 11, 132] Generated Node #2: [88, 11, 132] from Operation: 81+51=132 Current State: 76:[88, 11, 132], Operations: ['81+51=132'] Exploring Operation: 132/11=12, Resulting Numbers: [88, 12] Generated Node #3: [88, 12] from Operation: 132/11=12 Current State: 76:[88, 12], Operations: ['81+51=132', '132/11=12'] Exploring Operation: 88-12=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 75, 36, 50, 4 ]
58
[ "75*36=2700", "2700/50=54", "4+54=58" ]
Current State: 58:[75, 36, 50, 4], Operations: [] Exploring Operation: 75*36=2700, Resulting Numbers: [50, 4, 2700] Generated Node #2: [50, 4, 2700] from Operation: 75*36=2700 Current State: 58:[50, 4, 2700], Operations: ['75*36=2700'] Exploring Operation: 2700/50=54, Resulting Numbers: [4, 54] Generated Node #3: [4, 54] from Operation: 2700/50=54 Current State: 58:[4, 54], Operations: ['75*36=2700', '2700/50=54'] Exploring Operation: 4+54=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 28, 45, 30, 9 ]
72
[ "30-28=2", "45-9=36", "2*36=72" ]
Current State: 72:[28, 45, 30, 9], Operations: [] Exploring Operation: 30-28=2, Resulting Numbers: [45, 9, 2] Generated Node #2: [45, 9, 2] from Operation: 30-28=2 Current State: 72:[45, 9, 2], Operations: ['30-28=2'] Exploring Operation: 45-9=36, Resulting Numbers: [2, 36] Generated Node #3: [2, 36] from Operation: 45-9=36 Current State: 72:[2, 36], Operations: ['30-28=2', '45-9=36'] Exploring Operation: 2*36=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 77, 67, 38, 32 ]
16
[ "77-67=10", "38-32=6", "10+6=16" ]
Current State: 16:[77, 67, 38, 32], Operations: [] Exploring Operation: 77-67=10, Resulting Numbers: [38, 32, 10] Generated Node #2: [38, 32, 10] from Operation: 77-67=10 Current State: 16:[38, 32, 10], Operations: ['77-67=10'] Exploring Operation: 38-32=6, Resulting Numbers: [10, 6] Generated Node #3: [10, 6] from Operation: 38-32=6 Current State: 16:[10, 6], Operations: ['77-67=10', '38-32=6'] Exploring Operation: 10+6=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 95, 77, 6, 7 ]
18
[ "95-77=18", "7-6=1", "18*1=18" ]
Current State: 18:[95, 77, 6, 7], Operations: [] Exploring Operation: 95-77=18, Resulting Numbers: [6, 7, 18] Generated Node #2: [6, 7, 18] from Operation: 95-77=18 Current State: 18:[6, 7, 18], Operations: ['95-77=18'] Exploring Operation: 7-6=1, Resulting Numbers: [18, 1] Generated Node #3: [18, 1] from Operation: 7-6=1 Current State: 18:[18, 1], Operations: ['95-77=18', '7-6=1'] Exploring Operation: 18*1=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 5, 84, 42, 44 ]
41
[ "44-5=39", "84/42=2", "39+2=41" ]
Current State: 41:[5, 84, 42, 44], Operations: [] Exploring Operation: 44-5=39, Resulting Numbers: [84, 42, 39] Generated Node #2: [84, 42, 39] from Operation: 44-5=39 Current State: 41:[84, 42, 39], Operations: ['44-5=39'] Exploring Operation: 84/42=2, Resulting Numbers: [39, 2] Generated Node #3: [39, 2] from Operation: 84/42=2 Current State: 41:[39, 2], Operations: ['44-5=39', '84/42=2'] Exploring Operation: 39+2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 84, 38, 44, 6 ]
85
[ "44-38=6", "6/6=1", "84+1=85" ]
Current State: 85:[84, 38, 44, 6], Operations: [] Exploring Operation: 44-38=6, Resulting Numbers: [84, 6, 6] Generated Node #2: [84, 6, 6] from Operation: 44-38=6 Current State: 85:[84, 6, 6], Operations: ['44-38=6'] Exploring Operation: 6/6=1, Resulting Numbers: [84, 1] Generated Node #3: [84, 1] from Operation: 6/6=1 Current State: 85:[84, 1], Operations: ['44-38=6', '6/6=1'] Exploring Operation: 84+1=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 40, 47, 44, 1 ]
12
[ "44-40=4", "47+1=48", "48/4=12" ]
Current State: 12:[40, 47, 44, 1], Operations: [] Exploring Operation: 44-40=4, Resulting Numbers: [47, 1, 4] Generated Node #2: [47, 1, 4] from Operation: 44-40=4 Current State: 12:[47, 1, 4], Operations: ['44-40=4'] Exploring Operation: 47+1=48, Resulting Numbers: [4, 48] Generated Node #3: [4, 48] from Operation: 47+1=48 Current State: 12:[4, 48], Operations: ['44-40=4', '47+1=48'] Exploring Operation: 48/4=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 67, 18, 11, 48 ]
11
[ "67-18=49", "49-48=1", "11*1=11" ]
Current State: 11:[67, 18, 11, 48], Operations: [] Exploring Operation: 67-18=49, Resulting Numbers: [11, 48, 49] Generated Node #2: [11, 48, 49] from Operation: 67-18=49 Current State: 11:[11, 48, 49], Operations: ['67-18=49'] Exploring Operation: 49-48=1, Resulting Numbers: [11, 1] Generated Node #3: [11, 1] from Operation: 49-48=1 Current State: 11:[11, 1], Operations: ['67-18=49', '49-48=1'] Exploring Operation: 11*1=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 8, 40, 5, 55 ]
45
[ "8*40=320", "5*55=275", "320-275=45" ]
Current State: 45:[8, 40, 5, 55], Operations: [] Exploring Operation: 8*40=320, Resulting Numbers: [5, 55, 320] Generated Node #2: [5, 55, 320] from Operation: 8*40=320 Current State: 45:[5, 55, 320], Operations: ['8*40=320'] Exploring Operation: 5*55=275, Resulting Numbers: [320, 275] Generated Node #3: [320, 275] from Operation: 5*55=275 Current State: 45:[320, 275], Operations: ['8*40=320', '5*55=275'] Exploring Operation: 320-275=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 6, 7, 21, 85 ]
48
[ "6*21=126", "85-7=78", "126-78=48" ]
Current State: 48:[6, 7, 21, 85], Operations: [] Exploring Operation: 6*21=126, Resulting Numbers: [7, 85, 126] Generated Node #2: [7, 85, 126] from Operation: 6*21=126 Current State: 48:[7, 85, 126], Operations: ['6*21=126'] Exploring Operation: 85-7=78, Resulting Numbers: [126, 78] Generated Node #3: [126, 78] from Operation: 85-7=78 Current State: 48:[126, 78], Operations: ['6*21=126', '85-7=78'] Exploring Operation: 126-78=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 22, 7, 94, 2 ]
17
[ "22*7=154", "154/2=77", "94-77=17" ]
Current State: 17:[22, 7, 94, 2], Operations: [] Exploring Operation: 22*7=154, Resulting Numbers: [94, 2, 154] Generated Node #2: [94, 2, 154] from Operation: 22*7=154 Current State: 17:[94, 2, 154], Operations: ['22*7=154'] Exploring Operation: 154/2=77, Resulting Numbers: [94, 77] Generated Node #3: [94, 77] from Operation: 154/2=77 Current State: 17:[94, 77], Operations: ['22*7=154', '154/2=77'] Exploring Operation: 94-77=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 27, 53, 52, 48 ]
84
[ "27+53=80", "52-48=4", "80+4=84" ]
Current State: 84:[27, 53, 52, 48], Operations: [] Exploring Operation: 27+53=80, Resulting Numbers: [52, 48, 80] Generated Node #2: [52, 48, 80] from Operation: 27+53=80 Current State: 84:[52, 48, 80], Operations: ['27+53=80'] Exploring Operation: 52-48=4, Resulting Numbers: [80, 4] Generated Node #3: [80, 4] from Operation: 52-48=4 Current State: 84:[80, 4], Operations: ['27+53=80', '52-48=4'] Exploring Operation: 80+4=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 28, 52, 91, 42 ]
13
[ "52*42=2184", "2184/28=78", "91-78=13" ]
Current State: 13:[28, 52, 91, 42], Operations: [] Exploring Operation: 52*42=2184, Resulting Numbers: [28, 91, 2184] Generated Node #2: [28, 91, 2184] from Operation: 52*42=2184 Current State: 13:[28, 91, 2184], Operations: ['52*42=2184'] Exploring Operation: 2184/28=78, Resulting Numbers: [91, 78] Generated Node #3: [91, 78] from Operation: 2184/28=78 Current State: 13:[91, 78], Operations: ['52*42=2184', '2184/28=78'] Exploring Operation: 91-78=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 18, 63, 99, 88 ]
92
[ "18+63=81", "99-88=11", "81+11=92" ]
Current State: 92:[18, 63, 99, 88], Operations: [] Exploring Operation: 18+63=81, Resulting Numbers: [99, 88, 81] Generated Node #2: [99, 88, 81] from Operation: 18+63=81 Current State: 92:[99, 88, 81], Operations: ['18+63=81'] Exploring Operation: 99-88=11, Resulting Numbers: [81, 11] Generated Node #3: [81, 11] from Operation: 99-88=11 Current State: 92:[81, 11], Operations: ['18+63=81', '99-88=11'] Exploring Operation: 81+11=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 15, 90, 27, 73 ]
29
[ "90-15=75", "73-27=46", "75-46=29" ]
Current State: 29:[15, 90, 27, 73], Operations: [] Exploring Operation: 90-15=75, Resulting Numbers: [27, 73, 75] Generated Node #2: [27, 73, 75] from Operation: 90-15=75 Current State: 29:[27, 73, 75], Operations: ['90-15=75'] Exploring Operation: 73-27=46, Resulting Numbers: [75, 46] Generated Node #3: [75, 46] from Operation: 73-27=46 Current State: 29:[75, 46], Operations: ['90-15=75', '73-27=46'] Exploring Operation: 75-46=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4