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
[ 9, 11, 32, 52 ]
15
[ "9*11=99", "32+52=84", "99-84=15" ]
Current State: 15:[9, 11, 32, 52], Operations: [] Exploring Operation: 9*11=99, Resulting Numbers: [32, 52, 99] Generated Node #2: [32, 52, 99] from Operation: 9*11=99 Current State: 15:[32, 52, 99], Operations: ['9*11=99'] Exploring Operation: 32+52=84, Resulting Numbers: [99, 84] Generated Node #3: [99, 84] from Operation: 32+52=84 Current State: 15:[99, 84], Operations: ['9*11=99', '32+52=84'] Exploring Operation: 99-84=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 58, 97, 71, 8 ]
40
[ "97-58=39", "71+8=79", "79-39=40" ]
Current State: 40:[58, 97, 71, 8], Operations: [] Exploring Operation: 97-58=39, Resulting Numbers: [71, 8, 39] Generated Node #2: [71, 8, 39] from Operation: 97-58=39 Current State: 40:[71, 8, 39], Operations: ['97-58=39'] Exploring Operation: 71+8=79, Resulting Numbers: [39, 79] Generated Node #3: [39, 79] from Operation: 71+8=79 Current State: 40:[39, 79], Operations: ['97-58=39', '71+8=79'] Exploring Operation: 79-39=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 30, 32, 14, 82 ]
24
[ "30+82=112", "112/14=8", "32-8=24" ]
Current State: 24:[30, 32, 14, 82], Operations: [] Exploring Operation: 30+82=112, Resulting Numbers: [32, 14, 112] Generated Node #2: [32, 14, 112] from Operation: 30+82=112 Current State: 24:[32, 14, 112], Operations: ['30+82=112'] Exploring Operation: 112/14=8, Resulting Numbers: [32, 8] Generated Node #3: [32, 8] from Operation: 112/14=8 Current State: 24:[32, 8], Operations: ['30+82=112', '112/14=8'] Exploring Operation: 32-8=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 6, 48, 69, 57 ]
58
[ "48*69=3312", "3312-6=3306", "3306/57=58" ]
Current State: 58:[6, 48, 69, 57], Operations: [] Exploring Operation: 48*69=3312, Resulting Numbers: [6, 57, 3312] Generated Node #2: [6, 57, 3312] from Operation: 48*69=3312 Current State: 58:[6, 57, 3312], Operations: ['48*69=3312'] Exploring Operation: 3312-6=3306, Resulting Numbers: [57, 3306] Generated Node #3: [57, 3306] from Operation: 3312-6=3306 Current State: 58:[57, 3306], Operations: ['48*69=3312', '3312-6=3306'] Exploring Operation: 3306/57=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 20, 70, 67, 22 ]
95
[ "70-20=50", "67-22=45", "50+45=95" ]
Current State: 95:[20, 70, 67, 22], Operations: [] Exploring Operation: 70-20=50, Resulting Numbers: [67, 22, 50] Generated Node #2: [67, 22, 50] from Operation: 70-20=50 Current State: 95:[67, 22, 50], Operations: ['70-20=50'] Exploring Operation: 67-22=45, Resulting Numbers: [50, 45] Generated Node #3: [50, 45] from Operation: 67-22=45 Current State: 95:[50, 45], Operations: ['70-20=50', '67-22=45'] Exploring Operation: 50+45=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 32, 36, 40, 52 ]
54
[ "32+40=72", "72/36=2", "52+2=54" ]
Current State: 54:[32, 36, 40, 52], Operations: [] Exploring Operation: 32+40=72, Resulting Numbers: [36, 52, 72] Generated Node #2: [36, 52, 72] from Operation: 32+40=72 Current State: 54:[36, 52, 72], Operations: ['32+40=72'] Exploring Operation: 72/36=2, Resulting Numbers: [52, 2] Generated Node #3: [52, 2] from Operation: 72/36=2 Current State: 54:[52, 2], Operations: ['32+40=72', '72/36=2'] Exploring Operation: 52+2=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 53, 60, 94, 47 ]
84
[ "53-47=6", "60/6=10", "94-10=84" ]
Current State: 84:[53, 60, 94, 47], Operations: [] Exploring Operation: 53-47=6, Resulting Numbers: [60, 94, 6] Generated Node #2: [60, 94, 6] from Operation: 53-47=6 Current State: 84:[60, 94, 6], Operations: ['53-47=6'] Exploring Operation: 60/6=10, Resulting Numbers: [94, 10] Generated Node #3: [94, 10] from Operation: 60/6=10 Current State: 84:[94, 10], Operations: ['53-47=6', '60/6=10'] Exploring Operation: 94-10=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 20, 87, 24, 83 ]
14
[ "87-83=4", "24/4=6", "20-6=14" ]
Current State: 14:[20, 87, 24, 83], Operations: [] Exploring Operation: 87-83=4, Resulting Numbers: [20, 24, 4] Generated Node #2: [20, 24, 4] from Operation: 87-83=4 Current State: 14:[20, 24, 4], Operations: ['87-83=4'] Exploring Operation: 24/4=6, Resulting Numbers: [20, 6] Generated Node #3: [20, 6] from Operation: 24/4=6 Current State: 14:[20, 6], Operations: ['87-83=4', '24/4=6'] Exploring Operation: 20-6=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 23, 25, 94, 34 ]
77
[ "25-23=2", "34/2=17", "94-17=77" ]
Current State: 77:[23, 25, 94, 34], Operations: [] Exploring Operation: 25-23=2, Resulting Numbers: [94, 34, 2] Generated Node #2: [94, 34, 2] from Operation: 25-23=2 Current State: 77:[94, 34, 2], Operations: ['25-23=2'] Exploring Operation: 34/2=17, Resulting Numbers: [94, 17] Generated Node #3: [94, 17] from Operation: 34/2=17 Current State: 77:[94, 17], Operations: ['25-23=2', '34/2=17'] Exploring Operation: 94-17=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 49, 41, 34, 48 ]
28
[ "49-41=8", "48/8=6", "34-6=28" ]
Current State: 28:[49, 41, 34, 48], Operations: [] Exploring Operation: 49-41=8, Resulting Numbers: [34, 48, 8] Generated Node #2: [34, 48, 8] from Operation: 49-41=8 Current State: 28:[34, 48, 8], Operations: ['49-41=8'] Exploring Operation: 48/8=6, Resulting Numbers: [34, 6] Generated Node #3: [34, 6] from Operation: 48/8=6 Current State: 28:[34, 6], Operations: ['49-41=8', '48/8=6'] Exploring Operation: 34-6=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 48, 72, 39, 84 ]
41
[ "84-48=36", "72/36=2", "39+2=41" ]
Current State: 41:[48, 72, 39, 84], Operations: [] Exploring Operation: 84-48=36, Resulting Numbers: [72, 39, 36] Generated Node #2: [72, 39, 36] from Operation: 84-48=36 Current State: 41:[72, 39, 36], Operations: ['84-48=36'] Exploring Operation: 72/36=2, Resulting Numbers: [39, 2] Generated Node #3: [39, 2] from Operation: 72/36=2 Current State: 41:[39, 2], Operations: ['84-48=36', '72/36=2'] Exploring Operation: 39+2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 40, 57, 52, 55 ]
29
[ "57-52=5", "55/5=11", "40-11=29" ]
Current State: 29:[40, 57, 52, 55], Operations: [] Exploring Operation: 57-52=5, Resulting Numbers: [40, 55, 5] Generated Node #2: [40, 55, 5] from Operation: 57-52=5 Current State: 29:[40, 55, 5], Operations: ['57-52=5'] Exploring Operation: 55/5=11, Resulting Numbers: [40, 11] Generated Node #3: [40, 11] from Operation: 55/5=11 Current State: 29:[40, 11], Operations: ['57-52=5', '55/5=11'] Exploring Operation: 40-11=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 90, 96, 7, 25 ]
24
[ "96-90=6", "25-7=18", "6+18=24" ]
Current State: 24:[90, 96, 7, 25], Operations: [] Exploring Operation: 96-90=6, Resulting Numbers: [7, 25, 6] Generated Node #2: [7, 25, 6] from Operation: 96-90=6 Current State: 24:[7, 25, 6], Operations: ['96-90=6'] Exploring Operation: 25-7=18, Resulting Numbers: [6, 18] Generated Node #3: [6, 18] from Operation: 25-7=18 Current State: 24:[6, 18], Operations: ['96-90=6', '25-7=18'] Exploring Operation: 6+18=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 54, 47, 10, 26 ]
96
[ "54-47=7", "10*7=70", "26+70=96" ]
Current State: 96:[54, 47, 10, 26], Operations: [] Exploring Operation: 54-47=7, Resulting Numbers: [10, 26, 7] Generated Node #2: [10, 26, 7] from Operation: 54-47=7 Current State: 96:[10, 26, 7], Operations: ['54-47=7'] Exploring Operation: 10*7=70, Resulting Numbers: [26, 70] Generated Node #3: [26, 70] from Operation: 10*7=70 Current State: 96:[26, 70], Operations: ['54-47=7', '10*7=70'] Exploring Operation: 26+70=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 34, 88, 31, 70 ]
83
[ "34+88=122", "70-31=39", "122-39=83" ]
Current State: 83:[34, 88, 31, 70], Operations: [] Exploring Operation: 34+88=122, Resulting Numbers: [31, 70, 122] Generated Node #2: [31, 70, 122] from Operation: 34+88=122 Current State: 83:[31, 70, 122], Operations: ['34+88=122'] Exploring Operation: 70-31=39, Resulting Numbers: [122, 39] Generated Node #3: [122, 39] from Operation: 70-31=39 Current State: 83:[122, 39], Operations: ['34+88=122', '70-31=39'] Exploring Operation: 122-39=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 5, 10, 82, 98 ]
12
[ "5+10=15", "82+98=180", "180/15=12" ]
Current State: 12:[5, 10, 82, 98], Operations: [] Exploring Operation: 5+10=15, Resulting Numbers: [82, 98, 15] Generated Node #2: [82, 98, 15] from Operation: 5+10=15 Current State: 12:[82, 98, 15], Operations: ['5+10=15'] Exploring Operation: 82+98=180, Resulting Numbers: [15, 180] Generated Node #3: [15, 180] from Operation: 82+98=180 Current State: 12:[15, 180], Operations: ['5+10=15', '82+98=180'] Exploring Operation: 180/15=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 20, 1, 38, 41 ]
100
[ "20+1=21", "38+41=79", "21+79=100" ]
Current State: 100:[20, 1, 38, 41], Operations: [] Exploring Operation: 20+1=21, Resulting Numbers: [38, 41, 21] Generated Node #2: [38, 41, 21] from Operation: 20+1=21 Current State: 100:[38, 41, 21], Operations: ['20+1=21'] Exploring Operation: 38+41=79, Resulting Numbers: [21, 79] Generated Node #3: [21, 79] from Operation: 38+41=79 Current State: 100:[21, 79], Operations: ['20+1=21', '38+41=79'] Exploring Operation: 21+79=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 85, 16, 92, 81 ]
91
[ "92-81=11", "16*11=176", "176-85=91" ]
Current State: 91:[85, 16, 92, 81], Operations: [] Exploring Operation: 92-81=11, Resulting Numbers: [85, 16, 11] Generated Node #2: [85, 16, 11] from Operation: 92-81=11 Current State: 91:[85, 16, 11], Operations: ['92-81=11'] Exploring Operation: 16*11=176, Resulting Numbers: [85, 176] Generated Node #3: [85, 176] from Operation: 16*11=176 Current State: 91:[85, 176], Operations: ['92-81=11', '16*11=176'] Exploring Operation: 176-85=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 41, 77, 49, 2 ]
87
[ "77-41=36", "49+2=51", "36+51=87" ]
Current State: 87:[41, 77, 49, 2], Operations: [] Exploring Operation: 77-41=36, Resulting Numbers: [49, 2, 36] Generated Node #2: [49, 2, 36] from Operation: 77-41=36 Current State: 87:[49, 2, 36], Operations: ['77-41=36'] Exploring Operation: 49+2=51, Resulting Numbers: [36, 51] Generated Node #3: [36, 51] from Operation: 49+2=51 Current State: 87:[36, 51], Operations: ['77-41=36', '49+2=51'] Exploring Operation: 36+51=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 53, 28, 76, 75 ]
81
[ "53+28=81", "76-75=1", "81*1=81" ]
Current State: 81:[53, 28, 76, 75], Operations: [] Exploring Operation: 53+28=81, Resulting Numbers: [76, 75, 81] Generated Node #2: [76, 75, 81] from Operation: 53+28=81 Current State: 81:[76, 75, 81], Operations: ['53+28=81'] Exploring Operation: 76-75=1, Resulting Numbers: [81, 1] Generated Node #3: [81, 1] from Operation: 76-75=1 Current State: 81:[81, 1], Operations: ['53+28=81', '76-75=1'] Exploring Operation: 81*1=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 60, 39, 39, 51 ]
60
[ "39-39=0", "51*0=0", "60+0=60" ]
Current State: 60:[60, 39, 39, 51], Operations: [] Exploring Operation: 39-39=0, Resulting Numbers: [60, 51, 0] Generated Node #2: [60, 51, 0] from Operation: 39-39=0 Current State: 60:[60, 51, 0], Operations: ['39-39=0'] Exploring Operation: 51*0=0, Resulting Numbers: [60, 0] Generated Node #3: [60, 0] from Operation: 51*0=0 Current State: 60:[60, 0], Operations: ['39-39=0', '51*0=0'] Exploring Operation: 60+0=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 45, 23, 28, 50 ]
90
[ "45+23=68", "50-28=22", "68+22=90" ]
Current State: 90:[45, 23, 28, 50], Operations: [] Exploring Operation: 45+23=68, Resulting Numbers: [28, 50, 68] Generated Node #2: [28, 50, 68] from Operation: 45+23=68 Current State: 90:[28, 50, 68], Operations: ['45+23=68'] Exploring Operation: 50-28=22, Resulting Numbers: [68, 22] Generated Node #3: [68, 22] from Operation: 50-28=22 Current State: 90:[68, 22], Operations: ['45+23=68', '50-28=22'] Exploring Operation: 68+22=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 40, 27, 40, 11 ]
16
[ "40+27=67", "40+11=51", "67-51=16" ]
Current State: 16:[40, 27, 40, 11], Operations: [] Exploring Operation: 40+27=67, Resulting Numbers: [11, 67] Generated Node #2: [11, 67] from Operation: 40+27=67 Current State: 16:[11, 67], Operations: ['40+27=67'] Exploring Operation: 40+11=51, Resulting Numbers: [67, 51] Generated Node #3: [67, 51] from Operation: 40+11=51 Current State: 16:[67, 51], Operations: ['40+27=67', '40+11=51'] Exploring Operation: 67-51=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 82, 16, 8, 5 ]
53
[ "82-16=66", "8+5=13", "66-13=53" ]
Current State: 53:[82, 16, 8, 5], Operations: [] Exploring Operation: 82-16=66, Resulting Numbers: [8, 5, 66] Generated Node #2: [8, 5, 66] from Operation: 82-16=66 Current State: 53:[8, 5, 66], Operations: ['82-16=66'] Exploring Operation: 8+5=13, Resulting Numbers: [66, 13] Generated Node #3: [66, 13] from Operation: 8+5=13 Current State: 53:[66, 13], Operations: ['82-16=66', '8+5=13'] Exploring Operation: 66-13=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 60, 21, 6, 97 ]
22
[ "60+21=81", "6+97=103", "103-81=22" ]
Current State: 22:[60, 21, 6, 97], Operations: [] Exploring Operation: 60+21=81, Resulting Numbers: [6, 97, 81] Generated Node #2: [6, 97, 81] from Operation: 60+21=81 Current State: 22:[6, 97, 81], Operations: ['60+21=81'] Exploring Operation: 6+97=103, Resulting Numbers: [81, 103] Generated Node #3: [81, 103] from Operation: 6+97=103 Current State: 22:[81, 103], Operations: ['60+21=81', '6+97=103'] Exploring Operation: 103-81=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 8, 3, 93, 70 ]
77
[ "93-70=23", "3*23=69", "8+69=77" ]
Current State: 77:[8, 3, 93, 70], Operations: [] Exploring Operation: 93-70=23, Resulting Numbers: [8, 3, 23] Generated Node #2: [8, 3, 23] from Operation: 93-70=23 Current State: 77:[8, 3, 23], Operations: ['93-70=23'] Exploring Operation: 3*23=69, Resulting Numbers: [8, 69] Generated Node #3: [8, 69] from Operation: 3*23=69 Current State: 77:[8, 69], Operations: ['93-70=23', '3*23=69'] Exploring Operation: 8+69=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 14, 37, 42, 64 ]
47
[ "42/14=3", "37*3=111", "111-64=47" ]
Current State: 47:[14, 37, 42, 64], Operations: [] Exploring Operation: 42/14=3, Resulting Numbers: [37, 64, 3] Generated Node #2: [37, 64, 3] from Operation: 42/14=3 Current State: 47:[37, 64, 3], Operations: ['42/14=3'] Exploring Operation: 37*3=111, Resulting Numbers: [64, 111] Generated Node #3: [64, 111] from Operation: 37*3=111 Current State: 47:[64, 111], Operations: ['42/14=3', '37*3=111'] Exploring Operation: 111-64=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 18, 49, 47, 36 ]
36
[ "36-18=18", "49-47=2", "18*2=36" ]
Current State: 36:[18, 49, 47, 36], Operations: [] Exploring Operation: 36-18=18, Resulting Numbers: [49, 47, 18] Generated Node #2: [49, 47, 18] from Operation: 36-18=18 Current State: 36:[49, 47, 18], Operations: ['36-18=18'] Exploring Operation: 49-47=2, Resulting Numbers: [18, 2] Generated Node #3: [18, 2] from Operation: 49-47=2 Current State: 36:[18, 2], Operations: ['36-18=18', '49-47=2'] Exploring Operation: 18*2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 44, 3, 37, 93 ]
62
[ "93-44=49", "3*37=111", "111-49=62" ]
Current State: 62:[44, 3, 37, 93], Operations: [] Exploring Operation: 93-44=49, Resulting Numbers: [3, 37, 49] Generated Node #2: [3, 37, 49] from Operation: 93-44=49 Current State: 62:[3, 37, 49], Operations: ['93-44=49'] Exploring Operation: 3*37=111, Resulting Numbers: [49, 111] Generated Node #3: [49, 111] from Operation: 3*37=111 Current State: 62:[49, 111], Operations: ['93-44=49', '3*37=111'] Exploring Operation: 111-49=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 4, 67, 88, 8 ]
45
[ "8-4=4", "88/4=22", "67-22=45" ]
Current State: 45:[4, 67, 88, 8], Operations: [] Exploring Operation: 8-4=4, Resulting Numbers: [67, 88, 4] Generated Node #2: [67, 88, 4] from Operation: 8-4=4 Current State: 45:[67, 88, 4], Operations: ['8-4=4'] Exploring Operation: 88/4=22, Resulting Numbers: [67, 22] Generated Node #3: [67, 22] from Operation: 88/4=22 Current State: 45:[67, 22], Operations: ['8-4=4', '88/4=22'] Exploring Operation: 67-22=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 89, 18, 91, 5 ]
80
[ "89+18=107", "107-91=16", "5*16=80" ]
Current State: 80:[89, 18, 91, 5], Operations: [] Exploring Operation: 89+18=107, Resulting Numbers: [91, 5, 107] Generated Node #2: [91, 5, 107] from Operation: 89+18=107 Current State: 80:[91, 5, 107], Operations: ['89+18=107'] Exploring Operation: 107-91=16, Resulting Numbers: [5, 16] Generated Node #3: [5, 16] from Operation: 107-91=16 Current State: 80:[5, 16], Operations: ['89+18=107', '107-91=16'] Exploring Operation: 5*16=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 53, 67, 78, 64 ]
28
[ "67-53=14", "78-64=14", "14+14=28" ]
Current State: 28:[53, 67, 78, 64], Operations: [] Exploring Operation: 67-53=14, Resulting Numbers: [78, 64, 14] Generated Node #2: [78, 64, 14] from Operation: 67-53=14 Current State: 28:[78, 64, 14], Operations: ['67-53=14'] Exploring Operation: 78-64=14, Resulting Numbers: [14, 14] Generated Node #3: [14, 14] from Operation: 78-64=14 Current State: 28:[14, 14], Operations: ['67-53=14', '78-64=14'] Exploring Operation: 14+14=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 7, 3, 33, 21 ]
50
[ "7-3=4", "33+21=54", "54-4=50" ]
Current State: 50:[7, 3, 33, 21], Operations: [] Exploring Operation: 7-3=4, Resulting Numbers: [33, 21, 4] Generated Node #2: [33, 21, 4] from Operation: 7-3=4 Current State: 50:[33, 21, 4], Operations: ['7-3=4'] Exploring Operation: 33+21=54, Resulting Numbers: [4, 54] Generated Node #3: [4, 54] from Operation: 33+21=54 Current State: 50:[4, 54], Operations: ['7-3=4', '33+21=54'] Exploring Operation: 54-4=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 29, 82, 24, 14 ]
43
[ "82-29=53", "24-14=10", "53-10=43" ]
Current State: 43:[29, 82, 24, 14], Operations: [] Exploring Operation: 82-29=53, Resulting Numbers: [24, 14, 53] Generated Node #2: [24, 14, 53] from Operation: 82-29=53 Current State: 43:[24, 14, 53], Operations: ['82-29=53'] Exploring Operation: 24-14=10, Resulting Numbers: [53, 10] Generated Node #3: [53, 10] from Operation: 24-14=10 Current State: 43:[53, 10], Operations: ['82-29=53', '24-14=10'] Exploring Operation: 53-10=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 30, 20, 25, 93 ]
58
[ "30-20=10", "93-25=68", "68-10=58" ]
Current State: 58:[30, 20, 25, 93], Operations: [] Exploring Operation: 30-20=10, Resulting Numbers: [25, 93, 10] Generated Node #2: [25, 93, 10] from Operation: 30-20=10 Current State: 58:[25, 93, 10], Operations: ['30-20=10'] Exploring Operation: 93-25=68, Resulting Numbers: [10, 68] Generated Node #3: [10, 68] from Operation: 93-25=68 Current State: 58:[10, 68], Operations: ['30-20=10', '93-25=68'] Exploring Operation: 68-10=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 12, 79, 66, 69 ]
70
[ "79-12=67", "69-66=3", "67+3=70" ]
Current State: 70:[12, 79, 66, 69], Operations: [] Exploring Operation: 79-12=67, Resulting Numbers: [66, 69, 67] Generated Node #2: [66, 69, 67] from Operation: 79-12=67 Current State: 70:[66, 69, 67], Operations: ['79-12=67'] Exploring Operation: 69-66=3, Resulting Numbers: [67, 3] Generated Node #3: [67, 3] from Operation: 69-66=3 Current State: 70:[67, 3], Operations: ['79-12=67', '69-66=3'] Exploring Operation: 67+3=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 16, 18, 94, 96 ]
49
[ "18-16=2", "94/2=47", "96-47=49" ]
Current State: 49:[16, 18, 94, 96], Operations: [] Exploring Operation: 18-16=2, Resulting Numbers: [94, 96, 2] Generated Node #2: [94, 96, 2] from Operation: 18-16=2 Current State: 49:[94, 96, 2], Operations: ['18-16=2'] Exploring Operation: 94/2=47, Resulting Numbers: [96, 47] Generated Node #3: [96, 47] from Operation: 94/2=47 Current State: 49:[96, 47], Operations: ['18-16=2', '94/2=47'] Exploring Operation: 96-47=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 8, 20, 56, 60 ]
40
[ "8*20=160", "60-56=4", "160/4=40" ]
Current State: 40:[8, 20, 56, 60], Operations: [] Exploring Operation: 8*20=160, Resulting Numbers: [56, 60, 160] Generated Node #2: [56, 60, 160] from Operation: 8*20=160 Current State: 40:[56, 60, 160], Operations: ['8*20=160'] Exploring Operation: 60-56=4, Resulting Numbers: [160, 4] Generated Node #3: [160, 4] from Operation: 60-56=4 Current State: 40:[160, 4], Operations: ['8*20=160', '60-56=4'] Exploring Operation: 160/4=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 99, 58, 46, 12 ]
45
[ "58-46=12", "12*12=144", "144-99=45" ]
Current State: 45:[99, 58, 46, 12], Operations: [] Exploring Operation: 58-46=12, Resulting Numbers: [99, 12, 12] Generated Node #2: [99, 12, 12] from Operation: 58-46=12 Current State: 45:[99, 12, 12], Operations: ['58-46=12'] Exploring Operation: 12*12=144, Resulting Numbers: [99, 144] Generated Node #3: [99, 144] from Operation: 12*12=144 Current State: 45:[99, 144], Operations: ['58-46=12', '12*12=144'] Exploring Operation: 144-99=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 78, 4, 12, 40 ]
80
[ "78+12=90", "40/4=10", "90-10=80" ]
Current State: 80:[78, 4, 12, 40], Operations: [] Exploring Operation: 78+12=90, Resulting Numbers: [4, 40, 90] Generated Node #2: [4, 40, 90] from Operation: 78+12=90 Current State: 80:[4, 40, 90], Operations: ['78+12=90'] Exploring Operation: 40/4=10, Resulting Numbers: [90, 10] Generated Node #3: [90, 10] from Operation: 40/4=10 Current State: 80:[90, 10], Operations: ['78+12=90', '40/4=10'] Exploring Operation: 90-10=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 58, 10, 90, 66 ]
88
[ "58+10=68", "90+66=156", "156-68=88" ]
Current State: 88:[58, 10, 90, 66], Operations: [] Exploring Operation: 58+10=68, Resulting Numbers: [90, 66, 68] Generated Node #2: [90, 66, 68] from Operation: 58+10=68 Current State: 88:[90, 66, 68], Operations: ['58+10=68'] Exploring Operation: 90+66=156, Resulting Numbers: [68, 156] Generated Node #3: [68, 156] from Operation: 90+66=156 Current State: 88:[68, 156], Operations: ['58+10=68', '90+66=156'] Exploring Operation: 156-68=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 2, 60, 7, 26 ]
62
[ "2*60=120", "7*26=182", "182-120=62" ]
Current State: 62:[2, 60, 7, 26], Operations: [] Exploring Operation: 2*60=120, Resulting Numbers: [7, 26, 120] Generated Node #2: [7, 26, 120] from Operation: 2*60=120 Current State: 62:[7, 26, 120], Operations: ['2*60=120'] Exploring Operation: 7*26=182, Resulting Numbers: [120, 182] Generated Node #3: [120, 182] from Operation: 7*26=182 Current State: 62:[120, 182], Operations: ['2*60=120', '7*26=182'] Exploring Operation: 182-120=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 58, 22, 10, 52 ]
11
[ "58+52=110", "110/10=11", "22-11=11" ]
Current State: 11:[58, 22, 10, 52], Operations: [] Exploring Operation: 58+52=110, Resulting Numbers: [22, 10, 110] Generated Node #2: [22, 10, 110] from Operation: 58+52=110 Current State: 11:[22, 10, 110], Operations: ['58+52=110'] Exploring Operation: 110/10=11, Resulting Numbers: [22, 11] Generated Node #3: [22, 11] from Operation: 110/10=11 Current State: 11:[22, 11], Operations: ['58+52=110', '110/10=11'] Exploring Operation: 22-11=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 18, 44, 22, 63 ]
90
[ "63-18=45", "44/22=2", "45*2=90" ]
Current State: 90:[18, 44, 22, 63], Operations: [] Exploring Operation: 63-18=45, Resulting Numbers: [44, 22, 45] Generated Node #2: [44, 22, 45] from Operation: 63-18=45 Current State: 90:[44, 22, 45], Operations: ['63-18=45'] Exploring Operation: 44/22=2, Resulting Numbers: [45, 2] Generated Node #3: [45, 2] from Operation: 44/22=2 Current State: 90:[45, 2], Operations: ['63-18=45', '44/22=2'] Exploring Operation: 45*2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 21, 65, 28, 84 ]
56
[ "21+65=86", "86-84=2", "28*2=56" ]
Current State: 56:[21, 65, 28, 84], Operations: [] Exploring Operation: 21+65=86, Resulting Numbers: [28, 84, 86] Generated Node #2: [28, 84, 86] from Operation: 21+65=86 Current State: 56:[28, 84, 86], Operations: ['21+65=86'] Exploring Operation: 86-84=2, Resulting Numbers: [28, 2] Generated Node #3: [28, 2] from Operation: 86-84=2 Current State: 56:[28, 2], Operations: ['21+65=86', '86-84=2'] Exploring Operation: 28*2=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 24, 2, 76, 19 ]
62
[ "24+76=100", "2*19=38", "100-38=62" ]
Current State: 62:[24, 2, 76, 19], Operations: [] Exploring Operation: 24+76=100, Resulting Numbers: [2, 19, 100] Generated Node #2: [2, 19, 100] from Operation: 24+76=100 Current State: 62:[2, 19, 100], Operations: ['24+76=100'] Exploring Operation: 2*19=38, Resulting Numbers: [100, 38] Generated Node #3: [100, 38] from Operation: 2*19=38 Current State: 62:[100, 38], Operations: ['24+76=100', '2*19=38'] Exploring Operation: 100-38=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 17, 99, 45, 58 ]
13
[ "17+99=116", "45+58=103", "116-103=13" ]
Current State: 13:[17, 99, 45, 58], Operations: [] Exploring Operation: 17+99=116, Resulting Numbers: [45, 58, 116] Generated Node #2: [45, 58, 116] from Operation: 17+99=116 Current State: 13:[45, 58, 116], Operations: ['17+99=116'] Exploring Operation: 45+58=103, Resulting Numbers: [116, 103] Generated Node #3: [116, 103] from Operation: 45+58=103 Current State: 13:[116, 103], Operations: ['17+99=116', '45+58=103'] Exploring Operation: 116-103=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 66, 24, 18, 27 ]
60
[ "66+24=90", "18*90=1620", "1620/27=60" ]
Current State: 60:[66, 24, 18, 27], Operations: [] Exploring Operation: 66+24=90, Resulting Numbers: [18, 27, 90] Generated Node #2: [18, 27, 90] from Operation: 66+24=90 Current State: 60:[18, 27, 90], Operations: ['66+24=90'] Exploring Operation: 18*90=1620, Resulting Numbers: [27, 1620] Generated Node #3: [27, 1620] from Operation: 18*90=1620 Current State: 60:[27, 1620], Operations: ['66+24=90', '18*90=1620'] Exploring Operation: 1620/27=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 58, 9, 76, 94 ]
56
[ "94-76=18", "18/9=2", "58-2=56" ]
Current State: 56:[58, 9, 76, 94], Operations: [] Exploring Operation: 94-76=18, Resulting Numbers: [58, 9, 18] Generated Node #2: [58, 9, 18] from Operation: 94-76=18 Current State: 56:[58, 9, 18], Operations: ['94-76=18'] Exploring Operation: 18/9=2, Resulting Numbers: [58, 2] Generated Node #3: [58, 2] from Operation: 18/9=2 Current State: 56:[58, 2], Operations: ['94-76=18', '18/9=2'] Exploring Operation: 58-2=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 55, 4, 89, 63 ]
87
[ "63-55=8", "8/4=2", "89-2=87" ]
Current State: 87:[55, 4, 89, 63], Operations: [] Exploring Operation: 63-55=8, Resulting Numbers: [4, 89, 8] Generated Node #2: [4, 89, 8] from Operation: 63-55=8 Current State: 87:[4, 89, 8], Operations: ['63-55=8'] Exploring Operation: 8/4=2, Resulting Numbers: [89, 2] Generated Node #3: [89, 2] from Operation: 8/4=2 Current State: 87:[89, 2], Operations: ['63-55=8', '8/4=2'] Exploring Operation: 89-2=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 53, 24, 54, 40 ]
15
[ "53-24=29", "54-40=14", "29-14=15" ]
Current State: 15:[53, 24, 54, 40], Operations: [] Exploring Operation: 53-24=29, Resulting Numbers: [54, 40, 29] Generated Node #2: [54, 40, 29] from Operation: 53-24=29 Current State: 15:[54, 40, 29], Operations: ['53-24=29'] Exploring Operation: 54-40=14, Resulting Numbers: [29, 14] Generated Node #3: [29, 14] from Operation: 54-40=14 Current State: 15:[29, 14], Operations: ['53-24=29', '54-40=14'] Exploring Operation: 29-14=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 54, 30, 20, 21 ]
40
[ "20*21=420", "420/30=14", "54-14=40" ]
Current State: 40:[54, 30, 20, 21], Operations: [] Exploring Operation: 20*21=420, Resulting Numbers: [54, 30, 420] Generated Node #2: [54, 30, 420] from Operation: 20*21=420 Current State: 40:[54, 30, 420], Operations: ['20*21=420'] Exploring Operation: 420/30=14, Resulting Numbers: [54, 14] Generated Node #3: [54, 14] from Operation: 420/30=14 Current State: 40:[54, 14], Operations: ['20*21=420', '420/30=14'] Exploring Operation: 54-14=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 65, 60, 65, 55 ]
15
[ "65-60=5", "65-55=10", "5+10=15" ]
Current State: 15:[65, 60, 65, 55], Operations: [] Exploring Operation: 65-60=5, Resulting Numbers: [55, 5] Generated Node #2: [55, 5] from Operation: 65-60=5 Current State: 15:[55, 5], Operations: ['65-60=5'] Exploring Operation: 65-55=10, Resulting Numbers: [5, 10] Generated Node #3: [5, 10] from Operation: 65-55=10 Current State: 15:[5, 10], Operations: ['65-60=5', '65-55=10'] Exploring Operation: 5+10=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 25, 77, 13, 72 ]
20
[ "25*72=1800", "77+13=90", "1800/90=20" ]
Current State: 20:[25, 77, 13, 72], Operations: [] Exploring Operation: 25*72=1800, Resulting Numbers: [77, 13, 1800] Generated Node #2: [77, 13, 1800] from Operation: 25*72=1800 Current State: 20:[77, 13, 1800], Operations: ['25*72=1800'] Exploring Operation: 77+13=90, Resulting Numbers: [1800, 90] Generated Node #3: [1800, 90] from Operation: 77+13=90 Current State: 20:[1800, 90], Operations: ['25*72=1800', '77+13=90'] Exploring Operation: 1800/90=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 38, 80, 73, 41 ]
95
[ "38*80=3040", "73-41=32", "3040/32=95" ]
Current State: 95:[38, 80, 73, 41], Operations: [] Exploring Operation: 38*80=3040, Resulting Numbers: [73, 41, 3040] Generated Node #2: [73, 41, 3040] from Operation: 38*80=3040 Current State: 95:[73, 41, 3040], Operations: ['38*80=3040'] Exploring Operation: 73-41=32, Resulting Numbers: [3040, 32] Generated Node #3: [3040, 32] from Operation: 73-41=32 Current State: 95:[3040, 32], Operations: ['38*80=3040', '73-41=32'] Exploring Operation: 3040/32=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 67, 7, 73, 69 ]
87
[ "69-67=2", "7*2=14", "73+14=87" ]
Current State: 87:[67, 7, 73, 69], Operations: [] Exploring Operation: 69-67=2, Resulting Numbers: [7, 73, 2] Generated Node #2: [7, 73, 2] from Operation: 69-67=2 Current State: 87:[7, 73, 2], Operations: ['69-67=2'] Exploring Operation: 7*2=14, Resulting Numbers: [73, 14] Generated Node #3: [73, 14] from Operation: 7*2=14 Current State: 87:[73, 14], Operations: ['69-67=2', '7*2=14'] Exploring Operation: 73+14=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 18, 10, 26, 32 ]
48
[ "18-10=8", "32-26=6", "8*6=48" ]
Current State: 48:[18, 10, 26, 32], Operations: [] Exploring Operation: 18-10=8, Resulting Numbers: [26, 32, 8] Generated Node #2: [26, 32, 8] from Operation: 18-10=8 Current State: 48:[26, 32, 8], Operations: ['18-10=8'] Exploring Operation: 32-26=6, Resulting Numbers: [8, 6] Generated Node #3: [8, 6] from Operation: 32-26=6 Current State: 48:[8, 6], Operations: ['18-10=8', '32-26=6'] Exploring Operation: 8*6=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 76, 24, 81, 2 ]
67
[ "76/2=38", "24+81=105", "105-38=67" ]
Current State: 67:[76, 24, 81, 2], Operations: [] Exploring Operation: 76/2=38, Resulting Numbers: [24, 81, 38] Generated Node #2: [24, 81, 38] from Operation: 76/2=38 Current State: 67:[24, 81, 38], Operations: ['76/2=38'] Exploring Operation: 24+81=105, Resulting Numbers: [38, 105] Generated Node #3: [38, 105] from Operation: 24+81=105 Current State: 67:[38, 105], Operations: ['76/2=38', '24+81=105'] Exploring Operation: 105-38=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 98, 74, 29, 67 ]
15
[ "74-67=7", "98/7=14", "29-14=15" ]
Current State: 15:[98, 74, 29, 67], Operations: [] Exploring Operation: 74-67=7, Resulting Numbers: [98, 29, 7] Generated Node #2: [98, 29, 7] from Operation: 74-67=7 Current State: 15:[98, 29, 7], Operations: ['74-67=7'] Exploring Operation: 98/7=14, Resulting Numbers: [29, 14] Generated Node #3: [29, 14] from Operation: 98/7=14 Current State: 15:[29, 14], Operations: ['74-67=7', '98/7=14'] Exploring Operation: 29-14=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 30, 9, 11, 56 ]
88
[ "30-9=21", "11+56=67", "21+67=88" ]
Current State: 88:[30, 9, 11, 56], Operations: [] Exploring Operation: 30-9=21, Resulting Numbers: [11, 56, 21] Generated Node #2: [11, 56, 21] from Operation: 30-9=21 Current State: 88:[11, 56, 21], Operations: ['30-9=21'] Exploring Operation: 11+56=67, Resulting Numbers: [21, 67] Generated Node #3: [21, 67] from Operation: 11+56=67 Current State: 88:[21, 67], Operations: ['30-9=21', '11+56=67'] Exploring Operation: 21+67=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 12, 50, 6, 4 ]
27
[ "12/6=2", "50+4=54", "54/2=27" ]
Current State: 27:[12, 50, 6, 4], Operations: [] Exploring Operation: 12/6=2, Resulting Numbers: [50, 4, 2] Generated Node #2: [50, 4, 2] from Operation: 12/6=2 Current State: 27:[50, 4, 2], Operations: ['12/6=2'] Exploring Operation: 50+4=54, Resulting Numbers: [2, 54] Generated Node #3: [2, 54] from Operation: 50+4=54 Current State: 27:[2, 54], Operations: ['12/6=2', '50+4=54'] Exploring Operation: 54/2=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 96, 81, 68, 32 ]
16
[ "96/32=3", "81-68=13", "3+13=16" ]
Current State: 16:[96, 81, 68, 32], Operations: [] Exploring Operation: 96/32=3, Resulting Numbers: [81, 68, 3] Generated Node #2: [81, 68, 3] from Operation: 96/32=3 Current State: 16:[81, 68, 3], Operations: ['96/32=3'] Exploring Operation: 81-68=13, Resulting Numbers: [3, 13] Generated Node #3: [3, 13] from Operation: 81-68=13 Current State: 16:[3, 13], Operations: ['96/32=3', '81-68=13'] Exploring Operation: 3+13=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 56, 39, 54, 58 ]
10
[ "56-54=2", "58/2=29", "39-29=10" ]
Current State: 10:[56, 39, 54, 58], Operations: [] Exploring Operation: 56-54=2, Resulting Numbers: [39, 58, 2] Generated Node #2: [39, 58, 2] from Operation: 56-54=2 Current State: 10:[39, 58, 2], Operations: ['56-54=2'] Exploring Operation: 58/2=29, Resulting Numbers: [39, 29] Generated Node #3: [39, 29] from Operation: 58/2=29 Current State: 10:[39, 29], Operations: ['56-54=2', '58/2=29'] Exploring Operation: 39-29=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 60, 79, 90, 76 ]
10
[ "90-60=30", "79-76=3", "30/3=10" ]
Current State: 10:[60, 79, 90, 76], Operations: [] Exploring Operation: 90-60=30, Resulting Numbers: [79, 76, 30] Generated Node #2: [79, 76, 30] from Operation: 90-60=30 Current State: 10:[79, 76, 30], Operations: ['90-60=30'] Exploring Operation: 79-76=3, Resulting Numbers: [30, 3] Generated Node #3: [30, 3] from Operation: 79-76=3 Current State: 10:[30, 3], Operations: ['90-60=30', '79-76=3'] Exploring Operation: 30/3=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 39, 65, 61, 53 ]
18
[ "65-39=26", "61-53=8", "26-8=18" ]
Current State: 18:[39, 65, 61, 53], Operations: [] Exploring Operation: 65-39=26, Resulting Numbers: [61, 53, 26] Generated Node #2: [61, 53, 26] from Operation: 65-39=26 Current State: 18:[61, 53, 26], Operations: ['65-39=26'] Exploring Operation: 61-53=8, Resulting Numbers: [26, 8] Generated Node #3: [26, 8] from Operation: 61-53=8 Current State: 18:[26, 8], Operations: ['65-39=26', '61-53=8'] Exploring Operation: 26-8=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 11, 81, 59, 17 ]
55
[ "81-59=22", "22-17=5", "11*5=55" ]
Current State: 55:[11, 81, 59, 17], Operations: [] Exploring Operation: 81-59=22, Resulting Numbers: [11, 17, 22] Generated Node #2: [11, 17, 22] from Operation: 81-59=22 Current State: 55:[11, 17, 22], Operations: ['81-59=22'] Exploring Operation: 22-17=5, Resulting Numbers: [11, 5] Generated Node #3: [11, 5] from Operation: 22-17=5 Current State: 55:[11, 5], Operations: ['81-59=22', '22-17=5'] Exploring Operation: 11*5=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 82, 40, 22, 2 ]
44
[ "82-2=80", "80/40=2", "22*2=44" ]
Current State: 44:[82, 40, 22, 2], Operations: [] Exploring Operation: 82-2=80, Resulting Numbers: [40, 22, 80] Generated Node #2: [40, 22, 80] from Operation: 82-2=80 Current State: 44:[40, 22, 80], Operations: ['82-2=80'] Exploring Operation: 80/40=2, Resulting Numbers: [22, 2] Generated Node #3: [22, 2] from Operation: 80/40=2 Current State: 44:[22, 2], Operations: ['82-2=80', '80/40=2'] Exploring Operation: 22*2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 38, 12, 72, 45 ]
89
[ "38+45=83", "72/12=6", "83+6=89" ]
Current State: 89:[38, 12, 72, 45], Operations: [] Exploring Operation: 38+45=83, Resulting Numbers: [12, 72, 83] Generated Node #2: [12, 72, 83] from Operation: 38+45=83 Current State: 89:[12, 72, 83], Operations: ['38+45=83'] Exploring Operation: 72/12=6, Resulting Numbers: [83, 6] Generated Node #3: [83, 6] from Operation: 72/12=6 Current State: 89:[83, 6], Operations: ['38+45=83', '72/12=6'] Exploring Operation: 83+6=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 52, 99, 97, 73 ]
99
[ "99-97=2", "52/2=26", "73+26=99" ]
Current State: 99:[52, 99, 97, 73], Operations: [] Exploring Operation: 99-97=2, Resulting Numbers: [52, 73, 2] Generated Node #2: [52, 73, 2] from Operation: 99-97=2 Current State: 99:[52, 73, 2], Operations: ['99-97=2'] Exploring Operation: 52/2=26, Resulting Numbers: [73, 26] Generated Node #3: [73, 26] from Operation: 52/2=26 Current State: 99:[73, 26], Operations: ['99-97=2', '52/2=26'] Exploring Operation: 73+26=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 74, 81, 57, 98 ]
71
[ "81-74=7", "98/7=14", "57+14=71" ]
Current State: 71:[74, 81, 57, 98], Operations: [] Exploring Operation: 81-74=7, Resulting Numbers: [57, 98, 7] Generated Node #2: [57, 98, 7] from Operation: 81-74=7 Current State: 71:[57, 98, 7], Operations: ['81-74=7'] Exploring Operation: 98/7=14, Resulting Numbers: [57, 14] Generated Node #3: [57, 14] from Operation: 98/7=14 Current State: 71:[57, 14], Operations: ['81-74=7', '98/7=14'] Exploring Operation: 57+14=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 49, 57, 76, 84 ]
63
[ "76*84=6384", "6384/57=112", "112-49=63" ]
Current State: 63:[49, 57, 76, 84], Operations: [] Exploring Operation: 76*84=6384, Resulting Numbers: [49, 57, 6384] Generated Node #2: [49, 57, 6384] from Operation: 76*84=6384 Current State: 63:[49, 57, 6384], Operations: ['76*84=6384'] Exploring Operation: 6384/57=112, Resulting Numbers: [49, 112] Generated Node #3: [49, 112] from Operation: 6384/57=112 Current State: 63:[49, 112], Operations: ['76*84=6384', '6384/57=112'] Exploring Operation: 112-49=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 22, 37, 55, 1 ]
69
[ "37-22=15", "55-1=54", "15+54=69" ]
Current State: 69:[22, 37, 55, 1], Operations: [] Exploring Operation: 37-22=15, Resulting Numbers: [55, 1, 15] Generated Node #2: [55, 1, 15] from Operation: 37-22=15 Current State: 69:[55, 1, 15], Operations: ['37-22=15'] Exploring Operation: 55-1=54, Resulting Numbers: [15, 54] Generated Node #3: [15, 54] from Operation: 55-1=54 Current State: 69:[15, 54], Operations: ['37-22=15', '55-1=54'] Exploring Operation: 15+54=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 20, 5, 4, 54 ]
31
[ "20*4=80", "54-5=49", "80-49=31" ]
Current State: 31:[20, 5, 4, 54], Operations: [] Exploring Operation: 20*4=80, Resulting Numbers: [5, 54, 80] Generated Node #2: [5, 54, 80] from Operation: 20*4=80 Current State: 31:[5, 54, 80], Operations: ['20*4=80'] Exploring Operation: 54-5=49, Resulting Numbers: [80, 49] Generated Node #3: [80, 49] from Operation: 54-5=49 Current State: 31:[80, 49], Operations: ['20*4=80', '54-5=49'] Exploring Operation: 80-49=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 32, 6, 68, 10 ]
61
[ "32+10=42", "42/6=7", "68-7=61" ]
Current State: 61:[32, 6, 68, 10], Operations: [] Exploring Operation: 32+10=42, Resulting Numbers: [6, 68, 42] Generated Node #2: [6, 68, 42] from Operation: 32+10=42 Current State: 61:[6, 68, 42], Operations: ['32+10=42'] Exploring Operation: 42/6=7, Resulting Numbers: [68, 7] Generated Node #3: [68, 7] from Operation: 42/6=7 Current State: 61:[68, 7], Operations: ['32+10=42', '42/6=7'] Exploring Operation: 68-7=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 68, 64, 20, 11 ]
36
[ "68-64=4", "20-11=9", "4*9=36" ]
Current State: 36:[68, 64, 20, 11], Operations: [] Exploring Operation: 68-64=4, Resulting Numbers: [20, 11, 4] Generated Node #2: [20, 11, 4] from Operation: 68-64=4 Current State: 36:[20, 11, 4], Operations: ['68-64=4'] Exploring Operation: 20-11=9, Resulting Numbers: [4, 9] Generated Node #3: [4, 9] from Operation: 20-11=9 Current State: 36:[4, 9], Operations: ['68-64=4', '20-11=9'] Exploring Operation: 4*9=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 8, 23, 6, 63 ]
83
[ "63-8=55", "23*6=138", "138-55=83" ]
Current State: 83:[8, 23, 6, 63], Operations: [] Exploring Operation: 63-8=55, Resulting Numbers: [23, 6, 55] Generated Node #2: [23, 6, 55] from Operation: 63-8=55 Current State: 83:[23, 6, 55], Operations: ['63-8=55'] Exploring Operation: 23*6=138, Resulting Numbers: [55, 138] Generated Node #3: [55, 138] from Operation: 23*6=138 Current State: 83:[55, 138], Operations: ['63-8=55', '23*6=138'] Exploring Operation: 138-55=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 2, 66, 60, 17 ]
90
[ "17-2=15", "66-60=6", "15*6=90" ]
Current State: 90:[2, 66, 60, 17], Operations: [] Exploring Operation: 17-2=15, Resulting Numbers: [66, 60, 15] Generated Node #2: [66, 60, 15] from Operation: 17-2=15 Current State: 90:[66, 60, 15], Operations: ['17-2=15'] Exploring Operation: 66-60=6, Resulting Numbers: [15, 6] Generated Node #3: [15, 6] from Operation: 66-60=6 Current State: 90:[15, 6], Operations: ['17-2=15', '66-60=6'] Exploring Operation: 15*6=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 78, 62, 26, 68 ]
98
[ "78+62=140", "68-26=42", "140-42=98" ]
Current State: 98:[78, 62, 26, 68], Operations: [] Exploring Operation: 78+62=140, Resulting Numbers: [26, 68, 140] Generated Node #2: [26, 68, 140] from Operation: 78+62=140 Current State: 98:[26, 68, 140], Operations: ['78+62=140'] Exploring Operation: 68-26=42, Resulting Numbers: [140, 42] Generated Node #3: [140, 42] from Operation: 68-26=42 Current State: 98:[140, 42], Operations: ['78+62=140', '68-26=42'] Exploring Operation: 140-42=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 81, 95, 4, 24 ]
40
[ "95-81=14", "24-14=10", "4*10=40" ]
Current State: 40:[81, 95, 4, 24], Operations: [] Exploring Operation: 95-81=14, Resulting Numbers: [4, 24, 14] Generated Node #2: [4, 24, 14] from Operation: 95-81=14 Current State: 40:[4, 24, 14], Operations: ['95-81=14'] Exploring Operation: 24-14=10, Resulting Numbers: [4, 10] Generated Node #3: [4, 10] from Operation: 24-14=10 Current State: 40:[4, 10], Operations: ['95-81=14', '24-14=10'] Exploring Operation: 4*10=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 43, 9, 30, 36 ]
33
[ "43-36=7", "9*7=63", "63-30=33" ]
Current State: 33:[43, 9, 30, 36], Operations: [] Exploring Operation: 43-36=7, Resulting Numbers: [9, 30, 7] Generated Node #2: [9, 30, 7] from Operation: 43-36=7 Current State: 33:[9, 30, 7], Operations: ['43-36=7'] Exploring Operation: 9*7=63, Resulting Numbers: [30, 63] Generated Node #3: [30, 63] from Operation: 9*7=63 Current State: 33:[30, 63], Operations: ['43-36=7', '9*7=63'] Exploring Operation: 63-30=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 54, 35, 32, 36 ]
87
[ "54-35=19", "32+36=68", "19+68=87" ]
Current State: 87:[54, 35, 32, 36], Operations: [] Exploring Operation: 54-35=19, Resulting Numbers: [32, 36, 19] Generated Node #2: [32, 36, 19] from Operation: 54-35=19 Current State: 87:[32, 36, 19], Operations: ['54-35=19'] Exploring Operation: 32+36=68, Resulting Numbers: [19, 68] Generated Node #3: [19, 68] from Operation: 32+36=68 Current State: 87:[19, 68], Operations: ['54-35=19', '32+36=68'] Exploring Operation: 19+68=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 88, 68, 21, 10 ]
51
[ "88-68=20", "21+10=31", "20+31=51" ]
Current State: 51:[88, 68, 21, 10], Operations: [] Exploring Operation: 88-68=20, Resulting Numbers: [21, 10, 20] Generated Node #2: [21, 10, 20] from Operation: 88-68=20 Current State: 51:[21, 10, 20], Operations: ['88-68=20'] Exploring Operation: 21+10=31, Resulting Numbers: [20, 31] Generated Node #3: [20, 31] from Operation: 21+10=31 Current State: 51:[20, 31], Operations: ['88-68=20', '21+10=31'] Exploring Operation: 20+31=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 86, 30, 34, 21 ]
54
[ "86*21=1806", "30+1806=1836", "1836/34=54" ]
Current State: 54:[86, 30, 34, 21], Operations: [] Exploring Operation: 86*21=1806, Resulting Numbers: [30, 34, 1806] Generated Node #2: [30, 34, 1806] from Operation: 86*21=1806 Current State: 54:[30, 34, 1806], Operations: ['86*21=1806'] Exploring Operation: 30+1806=1836, Resulting Numbers: [34, 1836] Generated Node #3: [34, 1836] from Operation: 30+1806=1836 Current State: 54:[34, 1836], Operations: ['86*21=1806', '30+1806=1836'] Exploring Operation: 1836/34=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 44, 69, 8, 84 ]
33
[ "44*69=3036", "8+84=92", "3036/92=33" ]
Current State: 33:[44, 69, 8, 84], Operations: [] Exploring Operation: 44*69=3036, Resulting Numbers: [8, 84, 3036] Generated Node #2: [8, 84, 3036] from Operation: 44*69=3036 Current State: 33:[8, 84, 3036], Operations: ['44*69=3036'] Exploring Operation: 8+84=92, Resulting Numbers: [3036, 92] Generated Node #3: [3036, 92] from Operation: 8+84=92 Current State: 33:[3036, 92], Operations: ['44*69=3036', '8+84=92'] Exploring Operation: 3036/92=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 68, 2, 88, 87 ]
77
[ "88-68=20", "20/2=10", "87-10=77" ]
Current State: 77:[68, 2, 88, 87], Operations: [] Exploring Operation: 88-68=20, Resulting Numbers: [2, 87, 20] Generated Node #2: [2, 87, 20] from Operation: 88-68=20 Current State: 77:[2, 87, 20], Operations: ['88-68=20'] Exploring Operation: 20/2=10, Resulting Numbers: [87, 10] Generated Node #3: [87, 10] from Operation: 20/2=10 Current State: 77:[87, 10], Operations: ['88-68=20', '20/2=10'] Exploring Operation: 87-10=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 8, 16, 26, 24 ]
39
[ "24/8=3", "16+26=42", "42-3=39" ]
Current State: 39:[8, 16, 26, 24], Operations: [] Exploring Operation: 24/8=3, Resulting Numbers: [16, 26, 3] Generated Node #2: [16, 26, 3] from Operation: 24/8=3 Current State: 39:[16, 26, 3], Operations: ['24/8=3'] Exploring Operation: 16+26=42, Resulting Numbers: [3, 42] Generated Node #3: [3, 42] from Operation: 16+26=42 Current State: 39:[3, 42], Operations: ['24/8=3', '16+26=42'] Exploring Operation: 42-3=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 78, 35, 25, 70 ]
28
[ "70/35=2", "25*2=50", "78-50=28" ]
Current State: 28:[78, 35, 25, 70], Operations: [] Exploring Operation: 70/35=2, Resulting Numbers: [78, 25, 2] Generated Node #2: [78, 25, 2] from Operation: 70/35=2 Current State: 28:[78, 25, 2], Operations: ['70/35=2'] Exploring Operation: 25*2=50, Resulting Numbers: [78, 50] Generated Node #3: [78, 50] from Operation: 25*2=50 Current State: 28:[78, 50], Operations: ['70/35=2', '25*2=50'] Exploring Operation: 78-50=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 23, 21, 26, 24 ]
28
[ "23-21=2", "26*2=52", "52-24=28" ]
Current State: 28:[23, 21, 26, 24], Operations: [] Exploring Operation: 23-21=2, Resulting Numbers: [26, 24, 2] Generated Node #2: [26, 24, 2] from Operation: 23-21=2 Current State: 28:[26, 24, 2], Operations: ['23-21=2'] Exploring Operation: 26*2=52, Resulting Numbers: [24, 52] Generated Node #3: [24, 52] from Operation: 26*2=52 Current State: 28:[24, 52], Operations: ['23-21=2', '26*2=52'] Exploring Operation: 52-24=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 14, 88, 20, 11 ]
22
[ "20-14=6", "11*6=66", "88-66=22" ]
Current State: 22:[14, 88, 20, 11], Operations: [] Exploring Operation: 20-14=6, Resulting Numbers: [88, 11, 6] Generated Node #2: [88, 11, 6] from Operation: 20-14=6 Current State: 22:[88, 11, 6], Operations: ['20-14=6'] Exploring Operation: 11*6=66, Resulting Numbers: [88, 66] Generated Node #3: [88, 66] from Operation: 11*6=66 Current State: 22:[88, 66], Operations: ['20-14=6', '11*6=66'] Exploring Operation: 88-66=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 2, 15, 15, 23 ]
24
[ "2+23=25", "15/15=1", "25-1=24" ]
Current State: 24:[2, 15, 15, 23], Operations: [] Exploring Operation: 2+23=25, Resulting Numbers: [15, 15, 25] Generated Node #2: [15, 15, 25] from Operation: 2+23=25 Current State: 24:[15, 15, 25], Operations: ['2+23=25'] Exploring Operation: 15/15=1, Resulting Numbers: [25, 1] Generated Node #3: [25, 1] from Operation: 15/15=1 Current State: 24:[25, 1], Operations: ['2+23=25', '15/15=1'] Exploring Operation: 25-1=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 92, 15, 4, 13 ]
55
[ "92+15=107", "4*13=52", "107-52=55" ]
Current State: 55:[92, 15, 4, 13], Operations: [] Exploring Operation: 92+15=107, Resulting Numbers: [4, 13, 107] Generated Node #2: [4, 13, 107] from Operation: 92+15=107 Current State: 55:[4, 13, 107], Operations: ['92+15=107'] Exploring Operation: 4*13=52, Resulting Numbers: [107, 52] Generated Node #3: [107, 52] from Operation: 4*13=52 Current State: 55:[107, 52], Operations: ['92+15=107', '4*13=52'] Exploring Operation: 107-52=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 46, 20, 18, 16 ]
68
[ "46+20=66", "18-16=2", "66+2=68" ]
Current State: 68:[46, 20, 18, 16], Operations: [] Exploring Operation: 46+20=66, Resulting Numbers: [18, 16, 66] Generated Node #2: [18, 16, 66] from Operation: 46+20=66 Current State: 68:[18, 16, 66], Operations: ['46+20=66'] Exploring Operation: 18-16=2, Resulting Numbers: [66, 2] Generated Node #3: [66, 2] from Operation: 18-16=2 Current State: 68:[66, 2], Operations: ['46+20=66', '18-16=2'] Exploring Operation: 66+2=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 60, 43, 31, 41 ]
97
[ "60*31=1860", "43*41=1763", "1860-1763=97" ]
Current State: 97:[60, 43, 31, 41], Operations: [] Exploring Operation: 60*31=1860, Resulting Numbers: [43, 41, 1860] Generated Node #2: [43, 41, 1860] from Operation: 60*31=1860 Current State: 97:[43, 41, 1860], Operations: ['60*31=1860'] Exploring Operation: 43*41=1763, Resulting Numbers: [1860, 1763] Generated Node #3: [1860, 1763] from Operation: 43*41=1763 Current State: 97:[1860, 1763], Operations: ['60*31=1860', '43*41=1763'] Exploring Operation: 1860-1763=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 5, 20, 96, 68 ]
79
[ "20/5=4", "68/4=17", "96-17=79" ]
Current State: 79:[5, 20, 96, 68], Operations: [] Exploring Operation: 20/5=4, Resulting Numbers: [96, 68, 4] Generated Node #2: [96, 68, 4] from Operation: 20/5=4 Current State: 79:[96, 68, 4], Operations: ['20/5=4'] Exploring Operation: 68/4=17, Resulting Numbers: [96, 17] Generated Node #3: [96, 17] from Operation: 68/4=17 Current State: 79:[96, 17], Operations: ['20/5=4', '68/4=17'] Exploring Operation: 96-17=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 7, 50, 31, 5 ]
83
[ "7+50=57", "31-5=26", "57+26=83" ]
Current State: 83:[7, 50, 31, 5], Operations: [] Exploring Operation: 7+50=57, Resulting Numbers: [31, 5, 57] Generated Node #2: [31, 5, 57] from Operation: 7+50=57 Current State: 83:[31, 5, 57], Operations: ['7+50=57'] Exploring Operation: 31-5=26, Resulting Numbers: [57, 26] Generated Node #3: [57, 26] from Operation: 31-5=26 Current State: 83:[57, 26], Operations: ['7+50=57', '31-5=26'] Exploring Operation: 57+26=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 63, 60, 3, 15 ]
44
[ "63-15=48", "48/3=16", "60-16=44" ]
Current State: 44:[63, 60, 3, 15], Operations: [] Exploring Operation: 63-15=48, Resulting Numbers: [60, 3, 48] Generated Node #2: [60, 3, 48] from Operation: 63-15=48 Current State: 44:[60, 3, 48], Operations: ['63-15=48'] Exploring Operation: 48/3=16, Resulting Numbers: [60, 16] Generated Node #3: [60, 16] from Operation: 48/3=16 Current State: 44:[60, 16], Operations: ['63-15=48', '48/3=16'] Exploring Operation: 60-16=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 97, 91, 20, 90 ]
30
[ "97-91=6", "20*6=120", "120-90=30" ]
Current State: 30:[97, 91, 20, 90], Operations: [] Exploring Operation: 97-91=6, Resulting Numbers: [20, 90, 6] Generated Node #2: [20, 90, 6] from Operation: 97-91=6 Current State: 30:[20, 90, 6], Operations: ['97-91=6'] Exploring Operation: 20*6=120, Resulting Numbers: [90, 120] Generated Node #3: [90, 120] from Operation: 20*6=120 Current State: 30:[90, 120], Operations: ['97-91=6', '20*6=120'] Exploring Operation: 120-90=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 67, 11, 31, 13 ]
96
[ "67+11=78", "31-13=18", "78+18=96" ]
Current State: 96:[67, 11, 31, 13], Operations: [] Exploring Operation: 67+11=78, Resulting Numbers: [31, 13, 78] Generated Node #2: [31, 13, 78] from Operation: 67+11=78 Current State: 96:[31, 13, 78], Operations: ['67+11=78'] Exploring Operation: 31-13=18, Resulting Numbers: [78, 18] Generated Node #3: [78, 18] from Operation: 31-13=18 Current State: 96:[78, 18], Operations: ['67+11=78', '31-13=18'] Exploring Operation: 78+18=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 6, 5, 10, 33 ]
47
[ "6+10=16", "5*16=80", "80-33=47" ]
Current State: 47:[6, 5, 10, 33], Operations: [] Exploring Operation: 6+10=16, Resulting Numbers: [5, 33, 16] Generated Node #2: [5, 33, 16] from Operation: 6+10=16 Current State: 47:[5, 33, 16], Operations: ['6+10=16'] Exploring Operation: 5*16=80, Resulting Numbers: [33, 80] Generated Node #3: [33, 80] from Operation: 5*16=80 Current State: 47:[33, 80], Operations: ['6+10=16', '5*16=80'] Exploring Operation: 80-33=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 85, 60, 76, 5 ]
49
[ "85-60=25", "5*25=125", "125-76=49" ]
Current State: 49:[85, 60, 76, 5], Operations: [] Exploring Operation: 85-60=25, Resulting Numbers: [76, 5, 25] Generated Node #2: [76, 5, 25] from Operation: 85-60=25 Current State: 49:[76, 5, 25], Operations: ['85-60=25'] Exploring Operation: 5*25=125, Resulting Numbers: [76, 125] Generated Node #3: [76, 125] from Operation: 5*25=125 Current State: 49:[76, 125], Operations: ['85-60=25', '5*25=125'] Exploring Operation: 125-76=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4