Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 17, 52, 29, 61 ]
21
[ "17+52=69", "29+61=90", "90-69=21" ]
Current State: 21:[17, 52, 29, 61], Operations: [] Exploring Operation: 17+52=69, Resulting Numbers: [29, 61, 69] Generated Node #2: [29, 61, 69] from Operation: 17+52=69 Current State: 21:[29, 61, 69], Operations: ['17+52=69'] Exploring Operation: 29+61=90, Resulting Numbers: [69, 90] Generated Node #3: [69, 90] from Operation: 29+61=90 Current State: 21:[69, 90], Operations: ['17+52=69', '29+61=90'] Exploring Operation: 90-69=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 55, 28, 12, 7 ]
78
[ "55+28=83", "12-7=5", "83-5=78" ]
Current State: 78:[55, 28, 12, 7], Operations: [] Exploring Operation: 55+28=83, Resulting Numbers: [12, 7, 83] Generated Node #2: [12, 7, 83] from Operation: 55+28=83 Current State: 78:[12, 7, 83], Operations: ['55+28=83'] Exploring Operation: 12-7=5, Resulting Numbers: [83, 5] Generated Node #3: [83, 5] from Operation: 12-7=5 Current State: 78:[83, 5], Operations: ['55+28=83', '12-7=5'] Exploring Operation: 83-5=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 85, 70, 88, 84 ]
19
[ "85-70=15", "88-84=4", "15+4=19" ]
Current State: 19:[85, 70, 88, 84], Operations: [] Exploring Operation: 85-70=15, Resulting Numbers: [88, 84, 15] Generated Node #2: [88, 84, 15] from Operation: 85-70=15 Current State: 19:[88, 84, 15], Operations: ['85-70=15'] Exploring Operation: 88-84=4, Resulting Numbers: [15, 4] Generated Node #3: [15, 4] from Operation: 88-84=4 Current State: 19:[15, 4], Operations: ['85-70=15', '88-84=4'] Exploring Operation: 15+4=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 52, 74, 26, 11 ]
61
[ "52/26=2", "74-11=63", "63-2=61" ]
Current State: 61:[52, 74, 26, 11], Operations: [] Exploring Operation: 52/26=2, Resulting Numbers: [74, 11, 2] Generated Node #2: [74, 11, 2] from Operation: 52/26=2 Current State: 61:[74, 11, 2], Operations: ['52/26=2'] Exploring Operation: 74-11=63, Resulting Numbers: [2, 63] Generated Node #3: [2, 63] from Operation: 74-11=63 Current State: 61:[2, 63], Operations: ['52/26=2', '74-11=63'] Exploring Operation: 63-2=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 65, 56, 41, 17 ]
49
[ "65-56=9", "41+17=58", "58-9=49" ]
Current State: 49:[65, 56, 41, 17], Operations: [] Exploring Operation: 65-56=9, Resulting Numbers: [41, 17, 9] Generated Node #2: [41, 17, 9] from Operation: 65-56=9 Current State: 49:[41, 17, 9], Operations: ['65-56=9'] Exploring Operation: 41+17=58, Resulting Numbers: [9, 58] Generated Node #3: [9, 58] from Operation: 41+17=58 Current State: 49:[9, 58], Operations: ['65-56=9', '41+17=58'] Exploring Operation: 58-9=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 86, 31, 83, 51 ]
48
[ "86-83=3", "51/3=17", "31+17=48" ]
Current State: 48:[86, 31, 83, 51], Operations: [] Exploring Operation: 86-83=3, Resulting Numbers: [31, 51, 3] Generated Node #2: [31, 51, 3] from Operation: 86-83=3 Current State: 48:[31, 51, 3], Operations: ['86-83=3'] Exploring Operation: 51/3=17, Resulting Numbers: [31, 17] Generated Node #3: [31, 17] from Operation: 51/3=17 Current State: 48:[31, 17], Operations: ['86-83=3', '51/3=17'] Exploring Operation: 31+17=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 66, 4, 54, 66 ]
51
[ "66/66=1", "54-4=50", "1+50=51" ]
Current State: 51:[66, 4, 54, 66], Operations: [] Exploring Operation: 66/66=1, Resulting Numbers: [4, 54, 1] Generated Node #2: [4, 54, 1] from Operation: 66/66=1 Current State: 51:[4, 54, 1], Operations: ['66/66=1'] Exploring Operation: 54-4=50, Resulting Numbers: [1, 50] Generated Node #3: [1, 50] from Operation: 54-4=50 Current State: 51:[1, 50], Operations: ['66/66=1', '54-4=50'] Exploring Operation: 1+50=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 63, 9, 11, 92 ]
27
[ "63-9=54", "92-11=81", "81-54=27" ]
Current State: 27:[63, 9, 11, 92], Operations: [] Exploring Operation: 63-9=54, Resulting Numbers: [11, 92, 54] Generated Node #2: [11, 92, 54] from Operation: 63-9=54 Current State: 27:[11, 92, 54], Operations: ['63-9=54'] Exploring Operation: 92-11=81, Resulting Numbers: [54, 81] Generated Node #3: [54, 81] from Operation: 92-11=81 Current State: 27:[54, 81], Operations: ['63-9=54', '92-11=81'] Exploring Operation: 81-54=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 3, 65, 6, 2 ]
37
[ "3+65=68", "6+68=74", "74/2=37" ]
Current State: 37:[3, 65, 6, 2], Operations: [] Exploring Operation: 3+65=68, Resulting Numbers: [6, 2, 68] Generated Node #2: [6, 2, 68] from Operation: 3+65=68 Current State: 37:[6, 2, 68], Operations: ['3+65=68'] Exploring Operation: 6+68=74, Resulting Numbers: [2, 74] Generated Node #3: [2, 74] from Operation: 6+68=74 Current State: 37:[2, 74], Operations: ['3+65=68', '6+68=74'] Exploring Operation: 74/2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 27, 14, 13, 7 ]
42
[ "27+13=40", "14/7=2", "40+2=42" ]
Current State: 42:[27, 14, 13, 7], Operations: [] Exploring Operation: 27+13=40, Resulting Numbers: [14, 7, 40] Generated Node #2: [14, 7, 40] from Operation: 27+13=40 Current State: 42:[14, 7, 40], Operations: ['27+13=40'] Exploring Operation: 14/7=2, Resulting Numbers: [40, 2] Generated Node #3: [40, 2] from Operation: 14/7=2 Current State: 42:[40, 2], Operations: ['27+13=40', '14/7=2'] Exploring Operation: 40+2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 11, 24, 39, 15 ]
91
[ "11+24=35", "39*35=1365", "1365/15=91" ]
Current State: 91:[11, 24, 39, 15], Operations: [] Exploring Operation: 11+24=35, Resulting Numbers: [39, 15, 35] Generated Node #2: [39, 15, 35] from Operation: 11+24=35 Current State: 91:[39, 15, 35], Operations: ['11+24=35'] Exploring Operation: 39*35=1365, Resulting Numbers: [15, 1365] Generated Node #3: [15, 1365] from Operation: 39*35=1365 Current State: 91:[15, 1365], Operations: ['11+24=35', '39*35=1365'] Exploring Operation: 1365/15=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 8, 33, 45, 23 ]
90
[ "33-8=25", "25-23=2", "45*2=90" ]
Current State: 90:[8, 33, 45, 23], Operations: [] Exploring Operation: 33-8=25, Resulting Numbers: [45, 23, 25] Generated Node #2: [45, 23, 25] from Operation: 33-8=25 Current State: 90:[45, 23, 25], Operations: ['33-8=25'] Exploring Operation: 25-23=2, Resulting Numbers: [45, 2] Generated Node #3: [45, 2] from Operation: 25-23=2 Current State: 90:[45, 2], Operations: ['33-8=25', '25-23=2'] Exploring Operation: 45*2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 22, 39, 60, 3 ]
33
[ "22*3=66", "39+60=99", "99-66=33" ]
Current State: 33:[22, 39, 60, 3], Operations: [] Exploring Operation: 22*3=66, Resulting Numbers: [39, 60, 66] Generated Node #2: [39, 60, 66] from Operation: 22*3=66 Current State: 33:[39, 60, 66], Operations: ['22*3=66'] Exploring Operation: 39+60=99, Resulting Numbers: [66, 99] Generated Node #3: [66, 99] from Operation: 39+60=99 Current State: 33:[66, 99], Operations: ['22*3=66', '39+60=99'] Exploring Operation: 99-66=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 8, 24, 14, 32 ]
54
[ "24/8=3", "32-14=18", "3*18=54" ]
Current State: 54:[8, 24, 14, 32], Operations: [] Exploring Operation: 24/8=3, Resulting Numbers: [14, 32, 3] Generated Node #2: [14, 32, 3] from Operation: 24/8=3 Current State: 54:[14, 32, 3], Operations: ['24/8=3'] Exploring Operation: 32-14=18, Resulting Numbers: [3, 18] Generated Node #3: [3, 18] from Operation: 32-14=18 Current State: 54:[3, 18], Operations: ['24/8=3', '32-14=18'] Exploring Operation: 3*18=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 69, 8, 92, 62 ]
93
[ "69-8=61", "92+62=154", "154-61=93" ]
Current State: 93:[69, 8, 92, 62], Operations: [] Exploring Operation: 69-8=61, Resulting Numbers: [92, 62, 61] Generated Node #2: [92, 62, 61] from Operation: 69-8=61 Current State: 93:[92, 62, 61], Operations: ['69-8=61'] Exploring Operation: 92+62=154, Resulting Numbers: [61, 154] Generated Node #3: [61, 154] from Operation: 92+62=154 Current State: 93:[61, 154], Operations: ['69-8=61', '92+62=154'] Exploring Operation: 154-61=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 4, 12, 65, 18 ]
67
[ "4+12=16", "65+18=83", "83-16=67" ]
Current State: 67:[4, 12, 65, 18], Operations: [] Exploring Operation: 4+12=16, Resulting Numbers: [65, 18, 16] Generated Node #2: [65, 18, 16] from Operation: 4+12=16 Current State: 67:[65, 18, 16], Operations: ['4+12=16'] Exploring Operation: 65+18=83, Resulting Numbers: [16, 83] Generated Node #3: [16, 83] from Operation: 65+18=83 Current State: 67:[16, 83], Operations: ['4+12=16', '65+18=83'] Exploring Operation: 83-16=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 69, 22, 3, 29 ]
59
[ "69+22=91", "3+29=32", "91-32=59" ]
Current State: 59:[69, 22, 3, 29], Operations: [] Exploring Operation: 69+22=91, Resulting Numbers: [3, 29, 91] Generated Node #2: [3, 29, 91] from Operation: 69+22=91 Current State: 59:[3, 29, 91], Operations: ['69+22=91'] Exploring Operation: 3+29=32, Resulting Numbers: [91, 32] Generated Node #3: [91, 32] from Operation: 3+29=32 Current State: 59:[91, 32], Operations: ['69+22=91', '3+29=32'] Exploring Operation: 91-32=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 30, 81, 6, 31 ]
10
[ "30/6=5", "81-31=50", "50/5=10" ]
Current State: 10:[30, 81, 6, 31], Operations: [] Exploring Operation: 30/6=5, Resulting Numbers: [81, 31, 5] Generated Node #2: [81, 31, 5] from Operation: 30/6=5 Current State: 10:[81, 31, 5], Operations: ['30/6=5'] Exploring Operation: 81-31=50, Resulting Numbers: [5, 50] Generated Node #3: [5, 50] from Operation: 81-31=50 Current State: 10:[5, 50], Operations: ['30/6=5', '81-31=50'] Exploring Operation: 50/5=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 4, 18, 90, 13 ]
69
[ "90/18=5", "13*5=65", "4+65=69" ]
Current State: 69:[4, 18, 90, 13], Operations: [] Exploring Operation: 90/18=5, Resulting Numbers: [4, 13, 5] Generated Node #2: [4, 13, 5] from Operation: 90/18=5 Current State: 69:[4, 13, 5], Operations: ['90/18=5'] Exploring Operation: 13*5=65, Resulting Numbers: [4, 65] Generated Node #3: [4, 65] from Operation: 13*5=65 Current State: 69:[4, 65], Operations: ['90/18=5', '13*5=65'] Exploring Operation: 4+65=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 6, 42, 72, 3 ]
96
[ "6*3=18", "42+72=114", "114-18=96" ]
Current State: 96:[6, 42, 72, 3], Operations: [] Exploring Operation: 6*3=18, Resulting Numbers: [42, 72, 18] Generated Node #2: [42, 72, 18] from Operation: 6*3=18 Current State: 96:[42, 72, 18], Operations: ['6*3=18'] Exploring Operation: 42+72=114, Resulting Numbers: [18, 114] Generated Node #3: [18, 114] from Operation: 42+72=114 Current State: 96:[18, 114], Operations: ['6*3=18', '42+72=114'] Exploring Operation: 114-18=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 45, 72, 22, 32 ]
37
[ "72-45=27", "32-22=10", "27+10=37" ]
Current State: 37:[45, 72, 22, 32], Operations: [] Exploring Operation: 72-45=27, Resulting Numbers: [22, 32, 27] Generated Node #2: [22, 32, 27] from Operation: 72-45=27 Current State: 37:[22, 32, 27], Operations: ['72-45=27'] Exploring Operation: 32-22=10, Resulting Numbers: [27, 10] Generated Node #3: [27, 10] from Operation: 32-22=10 Current State: 37:[27, 10], Operations: ['72-45=27', '32-22=10'] Exploring Operation: 27+10=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 47, 48, 70, 93 ]
67
[ "48+93=141", "141/47=3", "70-3=67" ]
Current State: 67:[47, 48, 70, 93], Operations: [] Exploring Operation: 48+93=141, Resulting Numbers: [47, 70, 141] Generated Node #2: [47, 70, 141] from Operation: 48+93=141 Current State: 67:[47, 70, 141], Operations: ['48+93=141'] Exploring Operation: 141/47=3, Resulting Numbers: [70, 3] Generated Node #3: [70, 3] from Operation: 141/47=3 Current State: 67:[70, 3], Operations: ['48+93=141', '141/47=3'] Exploring Operation: 70-3=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 95, 9, 78, 80 ]
52
[ "95+9=104", "80-78=2", "104/2=52" ]
Current State: 52:[95, 9, 78, 80], Operations: [] Exploring Operation: 95+9=104, Resulting Numbers: [78, 80, 104] Generated Node #2: [78, 80, 104] from Operation: 95+9=104 Current State: 52:[78, 80, 104], Operations: ['95+9=104'] Exploring Operation: 80-78=2, Resulting Numbers: [104, 2] Generated Node #3: [104, 2] from Operation: 80-78=2 Current State: 52:[104, 2], Operations: ['95+9=104', '80-78=2'] Exploring Operation: 104/2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 34, 3, 74, 30 ]
73
[ "34-3=31", "74+30=104", "104-31=73" ]
Current State: 73:[34, 3, 74, 30], Operations: [] Exploring Operation: 34-3=31, Resulting Numbers: [74, 30, 31] Generated Node #2: [74, 30, 31] from Operation: 34-3=31 Current State: 73:[74, 30, 31], Operations: ['34-3=31'] Exploring Operation: 74+30=104, Resulting Numbers: [31, 104] Generated Node #3: [31, 104] from Operation: 74+30=104 Current State: 73:[31, 104], Operations: ['34-3=31', '74+30=104'] Exploring Operation: 104-31=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 71, 3, 53, 4 ]
42
[ "71-53=18", "18-4=14", "3*14=42" ]
Current State: 42:[71, 3, 53, 4], Operations: [] Exploring Operation: 71-53=18, Resulting Numbers: [3, 4, 18] Generated Node #2: [3, 4, 18] from Operation: 71-53=18 Current State: 42:[3, 4, 18], Operations: ['71-53=18'] Exploring Operation: 18-4=14, Resulting Numbers: [3, 14] Generated Node #3: [3, 14] from Operation: 18-4=14 Current State: 42:[3, 14], Operations: ['71-53=18', '18-4=14'] Exploring Operation: 3*14=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 62, 77, 88, 19 ]
84
[ "77-62=15", "88-19=69", "15+69=84" ]
Current State: 84:[62, 77, 88, 19], Operations: [] Exploring Operation: 77-62=15, Resulting Numbers: [88, 19, 15] Generated Node #2: [88, 19, 15] from Operation: 77-62=15 Current State: 84:[88, 19, 15], Operations: ['77-62=15'] Exploring Operation: 88-19=69, Resulting Numbers: [15, 69] Generated Node #3: [15, 69] from Operation: 88-19=69 Current State: 84:[15, 69], Operations: ['77-62=15', '88-19=69'] Exploring Operation: 15+69=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 48, 64, 76, 17 ]
68
[ "48*17=816", "76-64=12", "816/12=68" ]
Current State: 68:[48, 64, 76, 17], Operations: [] Exploring Operation: 48*17=816, Resulting Numbers: [64, 76, 816] Generated Node #2: [64, 76, 816] from Operation: 48*17=816 Current State: 68:[64, 76, 816], Operations: ['48*17=816'] Exploring Operation: 76-64=12, Resulting Numbers: [816, 12] Generated Node #3: [816, 12] from Operation: 76-64=12 Current State: 68:[816, 12], Operations: ['48*17=816', '76-64=12'] Exploring Operation: 816/12=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 4, 39, 9, 2 ]
96
[ "4-2=2", "39+9=48", "2*48=96" ]
Current State: 96:[4, 39, 9, 2], Operations: [] Exploring Operation: 4-2=2, Resulting Numbers: [39, 9, 2] Generated Node #2: [39, 9, 2] from Operation: 4-2=2 Current State: 96:[39, 9, 2], Operations: ['4-2=2'] Exploring Operation: 39+9=48, Resulting Numbers: [2, 48] Generated Node #3: [2, 48] from Operation: 39+9=48 Current State: 96:[2, 48], Operations: ['4-2=2', '39+9=48'] Exploring Operation: 2*48=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 71, 96, 63, 72 ]
21
[ "71-63=8", "96+72=168", "168/8=21" ]
Current State: 21:[71, 96, 63, 72], Operations: [] Exploring Operation: 71-63=8, Resulting Numbers: [96, 72, 8] Generated Node #2: [96, 72, 8] from Operation: 71-63=8 Current State: 21:[96, 72, 8], Operations: ['71-63=8'] Exploring Operation: 96+72=168, Resulting Numbers: [8, 168] Generated Node #3: [8, 168] from Operation: 96+72=168 Current State: 21:[8, 168], Operations: ['71-63=8', '96+72=168'] Exploring Operation: 168/8=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 72, 22, 75, 34 ]
69
[ "34-22=12", "72/12=6", "75-6=69" ]
Current State: 69:[72, 22, 75, 34], Operations: [] Exploring Operation: 34-22=12, Resulting Numbers: [72, 75, 12] Generated Node #2: [72, 75, 12] from Operation: 34-22=12 Current State: 69:[72, 75, 12], Operations: ['34-22=12'] Exploring Operation: 72/12=6, Resulting Numbers: [75, 6] Generated Node #3: [75, 6] from Operation: 72/12=6 Current State: 69:[75, 6], Operations: ['34-22=12', '72/12=6'] Exploring Operation: 75-6=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 44, 6, 44, 62 ]
69
[ "44/44=1", "6+62=68", "1+68=69" ]
Current State: 69:[44, 6, 44, 62], Operations: [] Exploring Operation: 44/44=1, Resulting Numbers: [6, 62, 1] Generated Node #2: [6, 62, 1] from Operation: 44/44=1 Current State: 69:[6, 62, 1], Operations: ['44/44=1'] Exploring Operation: 6+62=68, Resulting Numbers: [1, 68] Generated Node #3: [1, 68] from Operation: 6+62=68 Current State: 69:[1, 68], Operations: ['44/44=1', '6+62=68'] Exploring Operation: 1+68=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 1, 73, 16, 86 ]
30
[ "73-1=72", "16+86=102", "102-72=30" ]
Current State: 30:[1, 73, 16, 86], Operations: [] Exploring Operation: 73-1=72, Resulting Numbers: [16, 86, 72] Generated Node #2: [16, 86, 72] from Operation: 73-1=72 Current State: 30:[16, 86, 72], Operations: ['73-1=72'] Exploring Operation: 16+86=102, Resulting Numbers: [72, 102] Generated Node #3: [72, 102] from Operation: 16+86=102 Current State: 30:[72, 102], Operations: ['73-1=72', '16+86=102'] Exploring Operation: 102-72=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 66, 58, 76, 6 ]
42
[ "66+58=124", "76+6=82", "124-82=42" ]
Current State: 42:[66, 58, 76, 6], Operations: [] Exploring Operation: 66+58=124, Resulting Numbers: [76, 6, 124] Generated Node #2: [76, 6, 124] from Operation: 66+58=124 Current State: 42:[76, 6, 124], Operations: ['66+58=124'] Exploring Operation: 76+6=82, Resulting Numbers: [124, 82] Generated Node #3: [124, 82] from Operation: 76+6=82 Current State: 42:[124, 82], Operations: ['66+58=124', '76+6=82'] Exploring Operation: 124-82=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 75, 17, 65, 6 ]
42
[ "75-17=58", "65-58=7", "6*7=42" ]
Current State: 42:[75, 17, 65, 6], Operations: [] Exploring Operation: 75-17=58, Resulting Numbers: [65, 6, 58] Generated Node #2: [65, 6, 58] from Operation: 75-17=58 Current State: 42:[65, 6, 58], Operations: ['75-17=58'] Exploring Operation: 65-58=7, Resulting Numbers: [6, 7] Generated Node #3: [6, 7] from Operation: 65-58=7 Current State: 42:[6, 7], Operations: ['75-17=58', '65-58=7'] Exploring Operation: 6*7=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 4, 77, 44, 83 ]
20
[ "83-77=6", "4*6=24", "44-24=20" ]
Current State: 20:[4, 77, 44, 83], Operations: [] Exploring Operation: 83-77=6, Resulting Numbers: [4, 44, 6] Generated Node #2: [4, 44, 6] from Operation: 83-77=6 Current State: 20:[4, 44, 6], Operations: ['83-77=6'] Exploring Operation: 4*6=24, Resulting Numbers: [44, 24] Generated Node #3: [44, 24] from Operation: 4*6=24 Current State: 20:[44, 24], Operations: ['83-77=6', '4*6=24'] Exploring Operation: 44-24=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 21, 4, 87, 14 ]
17
[ "21*4=84", "87+14=101", "101-84=17" ]
Current State: 17:[21, 4, 87, 14], Operations: [] Exploring Operation: 21*4=84, Resulting Numbers: [87, 14, 84] Generated Node #2: [87, 14, 84] from Operation: 21*4=84 Current State: 17:[87, 14, 84], Operations: ['21*4=84'] Exploring Operation: 87+14=101, Resulting Numbers: [84, 101] Generated Node #3: [84, 101] from Operation: 87+14=101 Current State: 17:[84, 101], Operations: ['21*4=84', '87+14=101'] Exploring Operation: 101-84=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 64, 6, 3, 39 ]
85
[ "64+39=103", "6*3=18", "103-18=85" ]
Current State: 85:[64, 6, 3, 39], Operations: [] Exploring Operation: 64+39=103, Resulting Numbers: [6, 3, 103] Generated Node #2: [6, 3, 103] from Operation: 64+39=103 Current State: 85:[6, 3, 103], Operations: ['64+39=103'] Exploring Operation: 6*3=18, Resulting Numbers: [103, 18] Generated Node #3: [103, 18] from Operation: 6*3=18 Current State: 85:[103, 18], Operations: ['64+39=103', '6*3=18'] Exploring Operation: 103-18=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 46, 74, 6, 12 ]
14
[ "74-46=28", "12/6=2", "28/2=14" ]
Current State: 14:[46, 74, 6, 12], Operations: [] Exploring Operation: 74-46=28, Resulting Numbers: [6, 12, 28] Generated Node #2: [6, 12, 28] from Operation: 74-46=28 Current State: 14:[6, 12, 28], Operations: ['74-46=28'] Exploring Operation: 12/6=2, Resulting Numbers: [28, 2] Generated Node #3: [28, 2] from Operation: 12/6=2 Current State: 14:[28, 2], Operations: ['74-46=28', '12/6=2'] Exploring Operation: 28/2=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 90, 34, 77, 61 ]
72
[ "90-34=56", "77-61=16", "56+16=72" ]
Current State: 72:[90, 34, 77, 61], Operations: [] Exploring Operation: 90-34=56, Resulting Numbers: [77, 61, 56] Generated Node #2: [77, 61, 56] from Operation: 90-34=56 Current State: 72:[77, 61, 56], Operations: ['90-34=56'] Exploring Operation: 77-61=16, Resulting Numbers: [56, 16] Generated Node #3: [56, 16] from Operation: 77-61=16 Current State: 72:[56, 16], Operations: ['90-34=56', '77-61=16'] Exploring Operation: 56+16=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 15, 99, 29, 3 ]
25
[ "15*3=45", "99-29=70", "70-45=25" ]
Current State: 25:[15, 99, 29, 3], Operations: [] Exploring Operation: 15*3=45, Resulting Numbers: [99, 29, 45] Generated Node #2: [99, 29, 45] from Operation: 15*3=45 Current State: 25:[99, 29, 45], Operations: ['15*3=45'] Exploring Operation: 99-29=70, Resulting Numbers: [45, 70] Generated Node #3: [45, 70] from Operation: 99-29=70 Current State: 25:[45, 70], Operations: ['15*3=45', '99-29=70'] Exploring Operation: 70-45=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 4, 3, 13, 99 ]
19
[ "4*13=52", "99/3=33", "52-33=19" ]
Current State: 19:[4, 3, 13, 99], Operations: [] Exploring Operation: 4*13=52, Resulting Numbers: [3, 99, 52] Generated Node #2: [3, 99, 52] from Operation: 4*13=52 Current State: 19:[3, 99, 52], Operations: ['4*13=52'] Exploring Operation: 99/3=33, Resulting Numbers: [52, 33] Generated Node #3: [52, 33] from Operation: 99/3=33 Current State: 19:[52, 33], Operations: ['4*13=52', '99/3=33'] Exploring Operation: 52-33=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 40, 40, 63, 13 ]
49
[ "40/40=1", "63-13=50", "50-1=49" ]
Current State: 49:[40, 40, 63, 13], Operations: [] Exploring Operation: 40/40=1, Resulting Numbers: [63, 13, 1] Generated Node #2: [63, 13, 1] from Operation: 40/40=1 Current State: 49:[63, 13, 1], Operations: ['40/40=1'] Exploring Operation: 63-13=50, Resulting Numbers: [1, 50] Generated Node #3: [1, 50] from Operation: 63-13=50 Current State: 49:[1, 50], Operations: ['40/40=1', '63-13=50'] Exploring Operation: 50-1=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 2, 7, 77, 88 ]
40
[ "88/2=44", "7+77=84", "84-44=40" ]
Current State: 40:[2, 7, 77, 88], Operations: [] Exploring Operation: 88/2=44, Resulting Numbers: [7, 77, 44] Generated Node #2: [7, 77, 44] from Operation: 88/2=44 Current State: 40:[7, 77, 44], Operations: ['88/2=44'] Exploring Operation: 7+77=84, Resulting Numbers: [44, 84] Generated Node #3: [44, 84] from Operation: 7+77=84 Current State: 40:[44, 84], Operations: ['88/2=44', '7+77=84'] Exploring Operation: 84-44=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 23, 53, 12, 44 ]
69
[ "53-12=41", "44-41=3", "23*3=69" ]
Current State: 69:[23, 53, 12, 44], Operations: [] Exploring Operation: 53-12=41, Resulting Numbers: [23, 44, 41] Generated Node #2: [23, 44, 41] from Operation: 53-12=41 Current State: 69:[23, 44, 41], Operations: ['53-12=41'] Exploring Operation: 44-41=3, Resulting Numbers: [23, 3] Generated Node #3: [23, 3] from Operation: 44-41=3 Current State: 69:[23, 3], Operations: ['53-12=41', '44-41=3'] Exploring Operation: 23*3=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 85, 1, 70, 35 ]
85
[ "70/35=2", "2-1=1", "85*1=85" ]
Current State: 85:[85, 1, 70, 35], Operations: [] Exploring Operation: 70/35=2, Resulting Numbers: [85, 1, 2] Generated Node #2: [85, 1, 2] from Operation: 70/35=2 Current State: 85:[85, 1, 2], Operations: ['70/35=2'] Exploring Operation: 2-1=1, Resulting Numbers: [85, 1] Generated Node #3: [85, 1] from Operation: 2-1=1 Current State: 85:[85, 1], Operations: ['70/35=2', '2-1=1'] Exploring Operation: 85*1=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 2, 44, 20, 56 ]
88
[ "2*56=112", "44-20=24", "112-24=88" ]
Current State: 88:[2, 44, 20, 56], Operations: [] Exploring Operation: 2*56=112, Resulting Numbers: [44, 20, 112] Generated Node #2: [44, 20, 112] from Operation: 2*56=112 Current State: 88:[44, 20, 112], Operations: ['2*56=112'] Exploring Operation: 44-20=24, Resulting Numbers: [112, 24] Generated Node #3: [112, 24] from Operation: 44-20=24 Current State: 88:[112, 24], Operations: ['2*56=112', '44-20=24'] Exploring Operation: 112-24=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 28, 25, 19, 60 ]
38
[ "28-25=3", "60-19=41", "41-3=38" ]
Current State: 38:[28, 25, 19, 60], Operations: [] Exploring Operation: 28-25=3, Resulting Numbers: [19, 60, 3] Generated Node #2: [19, 60, 3] from Operation: 28-25=3 Current State: 38:[19, 60, 3], Operations: ['28-25=3'] Exploring Operation: 60-19=41, Resulting Numbers: [3, 41] Generated Node #3: [3, 41] from Operation: 60-19=41 Current State: 38:[3, 41], Operations: ['28-25=3', '60-19=41'] Exploring Operation: 41-3=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 38, 20, 69, 74 ]
53
[ "38+20=58", "74-69=5", "58-5=53" ]
Current State: 53:[38, 20, 69, 74], Operations: [] Exploring Operation: 38+20=58, Resulting Numbers: [69, 74, 58] Generated Node #2: [69, 74, 58] from Operation: 38+20=58 Current State: 53:[69, 74, 58], Operations: ['38+20=58'] Exploring Operation: 74-69=5, Resulting Numbers: [58, 5] Generated Node #3: [58, 5] from Operation: 74-69=5 Current State: 53:[58, 5], Operations: ['38+20=58', '74-69=5'] Exploring Operation: 58-5=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 40, 60, 52, 66 ]
86
[ "40+60=100", "66-52=14", "100-14=86" ]
Current State: 86:[40, 60, 52, 66], Operations: [] Exploring Operation: 40+60=100, Resulting Numbers: [52, 66, 100] Generated Node #2: [52, 66, 100] from Operation: 40+60=100 Current State: 86:[52, 66, 100], Operations: ['40+60=100'] Exploring Operation: 66-52=14, Resulting Numbers: [100, 14] Generated Node #3: [100, 14] from Operation: 66-52=14 Current State: 86:[100, 14], Operations: ['40+60=100', '66-52=14'] Exploring Operation: 100-14=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 64, 32, 24, 69 ]
81
[ "64/32=2", "24/2=12", "69+12=81" ]
Current State: 81:[64, 32, 24, 69], Operations: [] Exploring Operation: 64/32=2, Resulting Numbers: [24, 69, 2] Generated Node #2: [24, 69, 2] from Operation: 64/32=2 Current State: 81:[24, 69, 2], Operations: ['64/32=2'] Exploring Operation: 24/2=12, Resulting Numbers: [69, 12] Generated Node #3: [69, 12] from Operation: 24/2=12 Current State: 81:[69, 12], Operations: ['64/32=2', '24/2=12'] Exploring Operation: 69+12=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 68, 17, 49, 80 ]
78
[ "68-17=51", "49+80=129", "129-51=78" ]
Current State: 78:[68, 17, 49, 80], Operations: [] Exploring Operation: 68-17=51, Resulting Numbers: [49, 80, 51] Generated Node #2: [49, 80, 51] from Operation: 68-17=51 Current State: 78:[49, 80, 51], Operations: ['68-17=51'] Exploring Operation: 49+80=129, Resulting Numbers: [51, 129] Generated Node #3: [51, 129] from Operation: 49+80=129 Current State: 78:[51, 129], Operations: ['68-17=51', '49+80=129'] Exploring Operation: 129-51=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 87, 23, 44, 88 ]
21
[ "88-87=1", "44-23=21", "1*21=21" ]
Current State: 21:[87, 23, 44, 88], Operations: [] Exploring Operation: 88-87=1, Resulting Numbers: [23, 44, 1] Generated Node #2: [23, 44, 1] from Operation: 88-87=1 Current State: 21:[23, 44, 1], Operations: ['88-87=1'] Exploring Operation: 44-23=21, Resulting Numbers: [1, 21] Generated Node #3: [1, 21] from Operation: 44-23=21 Current State: 21:[1, 21], Operations: ['88-87=1', '44-23=21'] Exploring Operation: 1*21=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 95, 75, 78, 22 ]
29
[ "78-75=3", "22*3=66", "95-66=29" ]
Current State: 29:[95, 75, 78, 22], Operations: [] Exploring Operation: 78-75=3, Resulting Numbers: [95, 22, 3] Generated Node #2: [95, 22, 3] from Operation: 78-75=3 Current State: 29:[95, 22, 3], Operations: ['78-75=3'] Exploring Operation: 22*3=66, Resulting Numbers: [95, 66] Generated Node #3: [95, 66] from Operation: 22*3=66 Current State: 29:[95, 66], Operations: ['78-75=3', '22*3=66'] Exploring Operation: 95-66=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 3, 90, 9, 25 ]
45
[ "3*90=270", "9*25=225", "270-225=45" ]
Current State: 45:[3, 90, 9, 25], Operations: [] Exploring Operation: 3*90=270, Resulting Numbers: [9, 25, 270] Generated Node #2: [9, 25, 270] from Operation: 3*90=270 Current State: 45:[9, 25, 270], Operations: ['3*90=270'] Exploring Operation: 9*25=225, Resulting Numbers: [270, 225] Generated Node #3: [270, 225] from Operation: 9*25=225 Current State: 45:[270, 225], Operations: ['3*90=270', '9*25=225'] Exploring Operation: 270-225=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 2, 50, 56, 96 ]
32
[ "2*96=192", "56-50=6", "192/6=32" ]
Current State: 32:[2, 50, 56, 96], Operations: [] Exploring Operation: 2*96=192, Resulting Numbers: [50, 56, 192] Generated Node #2: [50, 56, 192] from Operation: 2*96=192 Current State: 32:[50, 56, 192], Operations: ['2*96=192'] Exploring Operation: 56-50=6, Resulting Numbers: [192, 6] Generated Node #3: [192, 6] from Operation: 56-50=6 Current State: 32:[192, 6], Operations: ['2*96=192', '56-50=6'] Exploring Operation: 192/6=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 37, 19, 39, 10 ]
27
[ "37+19=56", "39-10=29", "56-29=27" ]
Current State: 27:[37, 19, 39, 10], Operations: [] Exploring Operation: 37+19=56, Resulting Numbers: [39, 10, 56] Generated Node #2: [39, 10, 56] from Operation: 37+19=56 Current State: 27:[39, 10, 56], Operations: ['37+19=56'] Exploring Operation: 39-10=29, Resulting Numbers: [56, 29] Generated Node #3: [56, 29] from Operation: 39-10=29 Current State: 27:[56, 29], Operations: ['37+19=56', '39-10=29'] Exploring Operation: 56-29=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 6, 30, 2, 14 ]
48
[ "6+30=36", "14-2=12", "36+12=48" ]
Current State: 48:[6, 30, 2, 14], Operations: [] Exploring Operation: 6+30=36, Resulting Numbers: [2, 14, 36] Generated Node #2: [2, 14, 36] from Operation: 6+30=36 Current State: 48:[2, 14, 36], Operations: ['6+30=36'] Exploring Operation: 14-2=12, Resulting Numbers: [36, 12] Generated Node #3: [36, 12] from Operation: 14-2=12 Current State: 48:[36, 12], Operations: ['6+30=36', '14-2=12'] Exploring Operation: 36+12=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 25, 68, 84, 51 ]
10
[ "68-25=43", "84-51=33", "43-33=10" ]
Current State: 10:[25, 68, 84, 51], Operations: [] Exploring Operation: 68-25=43, Resulting Numbers: [84, 51, 43] Generated Node #2: [84, 51, 43] from Operation: 68-25=43 Current State: 10:[84, 51, 43], Operations: ['68-25=43'] Exploring Operation: 84-51=33, Resulting Numbers: [43, 33] Generated Node #3: [43, 33] from Operation: 84-51=33 Current State: 10:[43, 33], Operations: ['68-25=43', '84-51=33'] Exploring Operation: 43-33=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 3, 59, 84, 36 ]
24
[ "59-3=56", "36*56=2016", "2016/84=24" ]
Current State: 24:[3, 59, 84, 36], Operations: [] Exploring Operation: 59-3=56, Resulting Numbers: [84, 36, 56] Generated Node #2: [84, 36, 56] from Operation: 59-3=56 Current State: 24:[84, 36, 56], Operations: ['59-3=56'] Exploring Operation: 36*56=2016, Resulting Numbers: [84, 2016] Generated Node #3: [84, 2016] from Operation: 36*56=2016 Current State: 24:[84, 2016], Operations: ['59-3=56', '36*56=2016'] Exploring Operation: 2016/84=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 57, 55, 53, 67 ]
81
[ "57-55=2", "67*2=134", "134-53=81" ]
Current State: 81:[57, 55, 53, 67], Operations: [] Exploring Operation: 57-55=2, Resulting Numbers: [53, 67, 2] Generated Node #2: [53, 67, 2] from Operation: 57-55=2 Current State: 81:[53, 67, 2], Operations: ['57-55=2'] Exploring Operation: 67*2=134, Resulting Numbers: [53, 134] Generated Node #3: [53, 134] from Operation: 67*2=134 Current State: 81:[53, 134], Operations: ['57-55=2', '67*2=134'] Exploring Operation: 134-53=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 8, 7, 41, 14 ]
65
[ "41-8=33", "7*14=98", "98-33=65" ]
Current State: 65:[8, 7, 41, 14], Operations: [] Exploring Operation: 41-8=33, Resulting Numbers: [7, 14, 33] Generated Node #2: [7, 14, 33] from Operation: 41-8=33 Current State: 65:[7, 14, 33], Operations: ['41-8=33'] Exploring Operation: 7*14=98, Resulting Numbers: [33, 98] Generated Node #3: [33, 98] from Operation: 7*14=98 Current State: 65:[33, 98], Operations: ['41-8=33', '7*14=98'] Exploring Operation: 98-33=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 62, 34, 70, 15 ]
86
[ "70-62=8", "15*8=120", "120-34=86" ]
Current State: 86:[62, 34, 70, 15], Operations: [] Exploring Operation: 70-62=8, Resulting Numbers: [34, 15, 8] Generated Node #2: [34, 15, 8] from Operation: 70-62=8 Current State: 86:[34, 15, 8], Operations: ['70-62=8'] Exploring Operation: 15*8=120, Resulting Numbers: [34, 120] Generated Node #3: [34, 120] from Operation: 15*8=120 Current State: 86:[34, 120], Operations: ['70-62=8', '15*8=120'] Exploring Operation: 120-34=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 81, 64, 9, 94 ]
68
[ "81-64=17", "94-9=85", "85-17=68" ]
Current State: 68:[81, 64, 9, 94], Operations: [] Exploring Operation: 81-64=17, Resulting Numbers: [9, 94, 17] Generated Node #2: [9, 94, 17] from Operation: 81-64=17 Current State: 68:[9, 94, 17], Operations: ['81-64=17'] Exploring Operation: 94-9=85, Resulting Numbers: [17, 85] Generated Node #3: [17, 85] from Operation: 94-9=85 Current State: 68:[17, 85], Operations: ['81-64=17', '94-9=85'] Exploring Operation: 85-17=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 38, 2, 41, 6 ]
50
[ "38-6=32", "2*41=82", "82-32=50" ]
Current State: 50:[38, 2, 41, 6], Operations: [] Exploring Operation: 38-6=32, Resulting Numbers: [2, 41, 32] Generated Node #2: [2, 41, 32] from Operation: 38-6=32 Current State: 50:[2, 41, 32], Operations: ['38-6=32'] Exploring Operation: 2*41=82, Resulting Numbers: [32, 82] Generated Node #3: [32, 82] from Operation: 2*41=82 Current State: 50:[32, 82], Operations: ['38-6=32', '2*41=82'] Exploring Operation: 82-32=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 51, 27, 6, 45 ]
49
[ "51-27=24", "24/6=4", "45+4=49" ]
Current State: 49:[51, 27, 6, 45], Operations: [] Exploring Operation: 51-27=24, Resulting Numbers: [6, 45, 24] Generated Node #2: [6, 45, 24] from Operation: 51-27=24 Current State: 49:[6, 45, 24], Operations: ['51-27=24'] Exploring Operation: 24/6=4, Resulting Numbers: [45, 4] Generated Node #3: [45, 4] from Operation: 24/6=4 Current State: 49:[45, 4], Operations: ['51-27=24', '24/6=4'] Exploring Operation: 45+4=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 93, 78, 90, 13 ]
94
[ "93+78=171", "90-13=77", "171-77=94" ]
Current State: 94:[93, 78, 90, 13], Operations: [] Exploring Operation: 93+78=171, Resulting Numbers: [90, 13, 171] Generated Node #2: [90, 13, 171] from Operation: 93+78=171 Current State: 94:[90, 13, 171], Operations: ['93+78=171'] Exploring Operation: 90-13=77, Resulting Numbers: [171, 77] Generated Node #3: [171, 77] from Operation: 90-13=77 Current State: 94:[171, 77], Operations: ['93+78=171', '90-13=77'] Exploring Operation: 171-77=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 72, 12, 53, 75 ]
17
[ "75-72=3", "12*3=36", "53-36=17" ]
Current State: 17:[72, 12, 53, 75], Operations: [] Exploring Operation: 75-72=3, Resulting Numbers: [12, 53, 3] Generated Node #2: [12, 53, 3] from Operation: 75-72=3 Current State: 17:[12, 53, 3], Operations: ['75-72=3'] Exploring Operation: 12*3=36, Resulting Numbers: [53, 36] Generated Node #3: [53, 36] from Operation: 12*3=36 Current State: 17:[53, 36], Operations: ['75-72=3', '12*3=36'] Exploring Operation: 53-36=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 35, 20, 95, 48 ]
32
[ "35-20=15", "95-48=47", "47-15=32" ]
Current State: 32:[35, 20, 95, 48], Operations: [] Exploring Operation: 35-20=15, Resulting Numbers: [95, 48, 15] Generated Node #2: [95, 48, 15] from Operation: 35-20=15 Current State: 32:[95, 48, 15], Operations: ['35-20=15'] Exploring Operation: 95-48=47, Resulting Numbers: [15, 47] Generated Node #3: [15, 47] from Operation: 95-48=47 Current State: 32:[15, 47], Operations: ['35-20=15', '95-48=47'] Exploring Operation: 47-15=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 25, 57, 27, 62 ]
98
[ "62-57=5", "25*5=125", "125-27=98" ]
Current State: 98:[25, 57, 27, 62], Operations: [] Exploring Operation: 62-57=5, Resulting Numbers: [25, 27, 5] Generated Node #2: [25, 27, 5] from Operation: 62-57=5 Current State: 98:[25, 27, 5], Operations: ['62-57=5'] Exploring Operation: 25*5=125, Resulting Numbers: [27, 125] Generated Node #3: [27, 125] from Operation: 25*5=125 Current State: 98:[27, 125], Operations: ['62-57=5', '25*5=125'] Exploring Operation: 125-27=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 76, 2, 56, 62 ]
44
[ "76-2=74", "56+62=118", "118-74=44" ]
Current State: 44:[76, 2, 56, 62], Operations: [] Exploring Operation: 76-2=74, Resulting Numbers: [56, 62, 74] Generated Node #2: [56, 62, 74] from Operation: 76-2=74 Current State: 44:[56, 62, 74], Operations: ['76-2=74'] Exploring Operation: 56+62=118, Resulting Numbers: [74, 118] Generated Node #3: [74, 118] from Operation: 56+62=118 Current State: 44:[74, 118], Operations: ['76-2=74', '56+62=118'] Exploring Operation: 118-74=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 42, 80, 26, 64 ]
85
[ "42+26=68", "80*68=5440", "5440/64=85" ]
Current State: 85:[42, 80, 26, 64], Operations: [] Exploring Operation: 42+26=68, Resulting Numbers: [80, 64, 68] Generated Node #2: [80, 64, 68] from Operation: 42+26=68 Current State: 85:[80, 64, 68], Operations: ['42+26=68'] Exploring Operation: 80*68=5440, Resulting Numbers: [64, 5440] Generated Node #3: [64, 5440] from Operation: 80*68=5440 Current State: 85:[64, 5440], Operations: ['42+26=68', '80*68=5440'] Exploring Operation: 5440/64=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 22, 40, 92, 43 ]
37
[ "40+92=132", "132/22=6", "43-6=37" ]
Current State: 37:[22, 40, 92, 43], Operations: [] Exploring Operation: 40+92=132, Resulting Numbers: [22, 43, 132] Generated Node #2: [22, 43, 132] from Operation: 40+92=132 Current State: 37:[22, 43, 132], Operations: ['40+92=132'] Exploring Operation: 132/22=6, Resulting Numbers: [43, 6] Generated Node #3: [43, 6] from Operation: 132/22=6 Current State: 37:[43, 6], Operations: ['40+92=132', '132/22=6'] Exploring Operation: 43-6=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 21, 76, 11, 6 ]
61
[ "21*6=126", "76-11=65", "126-65=61" ]
Current State: 61:[21, 76, 11, 6], Operations: [] Exploring Operation: 21*6=126, Resulting Numbers: [76, 11, 126] Generated Node #2: [76, 11, 126] from Operation: 21*6=126 Current State: 61:[76, 11, 126], Operations: ['21*6=126'] Exploring Operation: 76-11=65, Resulting Numbers: [126, 65] Generated Node #3: [126, 65] from Operation: 76-11=65 Current State: 61:[126, 65], Operations: ['21*6=126', '76-11=65'] Exploring Operation: 126-65=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 2, 27, 25, 82 ]
81
[ "27-2=25", "25/25=1", "82-1=81" ]
Current State: 81:[2, 27, 25, 82], Operations: [] Exploring Operation: 27-2=25, Resulting Numbers: [25, 82, 25] Generated Node #2: [25, 82, 25] from Operation: 27-2=25 Current State: 81:[25, 82, 25], Operations: ['27-2=25'] Exploring Operation: 25/25=1, Resulting Numbers: [82, 1] Generated Node #3: [82, 1] from Operation: 25/25=1 Current State: 81:[82, 1], Operations: ['27-2=25', '25/25=1'] Exploring Operation: 82-1=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 14, 34, 27, 18 ]
30
[ "34-14=20", "27*20=540", "540/18=30" ]
Current State: 30:[14, 34, 27, 18], Operations: [] Exploring Operation: 34-14=20, Resulting Numbers: [27, 18, 20] Generated Node #2: [27, 18, 20] from Operation: 34-14=20 Current State: 30:[27, 18, 20], Operations: ['34-14=20'] Exploring Operation: 27*20=540, Resulting Numbers: [18, 540] Generated Node #3: [18, 540] from Operation: 27*20=540 Current State: 30:[18, 540], Operations: ['34-14=20', '27*20=540'] Exploring Operation: 540/18=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 8, 21, 42, 58 ]
48
[ "58-8=50", "42/21=2", "50-2=48" ]
Current State: 48:[8, 21, 42, 58], Operations: [] Exploring Operation: 58-8=50, Resulting Numbers: [21, 42, 50] Generated Node #2: [21, 42, 50] from Operation: 58-8=50 Current State: 48:[21, 42, 50], Operations: ['58-8=50'] Exploring Operation: 42/21=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 42/21=2 Current State: 48:[50, 2], Operations: ['58-8=50', '42/21=2'] Exploring Operation: 50-2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 39, 11, 10, 61 ]
66
[ "39+11=50", "50/10=5", "61+5=66" ]
Current State: 66:[39, 11, 10, 61], Operations: [] Exploring Operation: 39+11=50, Resulting Numbers: [10, 61, 50] Generated Node #2: [10, 61, 50] from Operation: 39+11=50 Current State: 66:[10, 61, 50], Operations: ['39+11=50'] Exploring Operation: 50/10=5, Resulting Numbers: [61, 5] Generated Node #3: [61, 5] from Operation: 50/10=5 Current State: 66:[61, 5], Operations: ['39+11=50', '50/10=5'] Exploring Operation: 61+5=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 67, 56, 10, 53 ]
68
[ "67+53=120", "120/10=12", "56+12=68" ]
Current State: 68:[67, 56, 10, 53], Operations: [] Exploring Operation: 67+53=120, Resulting Numbers: [56, 10, 120] Generated Node #2: [56, 10, 120] from Operation: 67+53=120 Current State: 68:[56, 10, 120], Operations: ['67+53=120'] Exploring Operation: 120/10=12, Resulting Numbers: [56, 12] Generated Node #3: [56, 12] from Operation: 120/10=12 Current State: 68:[56, 12], Operations: ['67+53=120', '120/10=12'] Exploring Operation: 56+12=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 68, 3, 76, 6 ]
46
[ "68+76=144", "144-6=138", "138/3=46" ]
Current State: 46:[68, 3, 76, 6], Operations: [] Exploring Operation: 68+76=144, Resulting Numbers: [3, 6, 144] Generated Node #2: [3, 6, 144] from Operation: 68+76=144 Current State: 46:[3, 6, 144], Operations: ['68+76=144'] Exploring Operation: 144-6=138, Resulting Numbers: [3, 138] Generated Node #3: [3, 138] from Operation: 144-6=138 Current State: 46:[3, 138], Operations: ['68+76=144', '144-6=138'] Exploring Operation: 138/3=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 28, 78, 5, 76 ]
46
[ "28-5=23", "78-76=2", "23*2=46" ]
Current State: 46:[28, 78, 5, 76], Operations: [] Exploring Operation: 28-5=23, Resulting Numbers: [78, 76, 23] Generated Node #2: [78, 76, 23] from Operation: 28-5=23 Current State: 46:[78, 76, 23], Operations: ['28-5=23'] Exploring Operation: 78-76=2, Resulting Numbers: [23, 2] Generated Node #3: [23, 2] from Operation: 78-76=2 Current State: 46:[23, 2], Operations: ['28-5=23', '78-76=2'] Exploring Operation: 23*2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 10, 83, 22, 96 ]
86
[ "10+22=32", "96/32=3", "83+3=86" ]
Current State: 86:[10, 83, 22, 96], Operations: [] Exploring Operation: 10+22=32, Resulting Numbers: [83, 96, 32] Generated Node #2: [83, 96, 32] from Operation: 10+22=32 Current State: 86:[83, 96, 32], Operations: ['10+22=32'] Exploring Operation: 96/32=3, Resulting Numbers: [83, 3] Generated Node #3: [83, 3] from Operation: 96/32=3 Current State: 86:[83, 3], Operations: ['10+22=32', '96/32=3'] Exploring Operation: 83+3=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 4, 47, 21, 63 ]
35
[ "4*63=252", "252/21=12", "47-12=35" ]
Current State: 35:[4, 47, 21, 63], Operations: [] Exploring Operation: 4*63=252, Resulting Numbers: [47, 21, 252] Generated Node #2: [47, 21, 252] from Operation: 4*63=252 Current State: 35:[47, 21, 252], Operations: ['4*63=252'] Exploring Operation: 252/21=12, Resulting Numbers: [47, 12] Generated Node #3: [47, 12] from Operation: 252/21=12 Current State: 35:[47, 12], Operations: ['4*63=252', '252/21=12'] Exploring Operation: 47-12=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 7, 43, 94, 78 ]
52
[ "43-7=36", "94-78=16", "36+16=52" ]
Current State: 52:[7, 43, 94, 78], Operations: [] Exploring Operation: 43-7=36, Resulting Numbers: [94, 78, 36] Generated Node #2: [94, 78, 36] from Operation: 43-7=36 Current State: 52:[94, 78, 36], Operations: ['43-7=36'] Exploring Operation: 94-78=16, Resulting Numbers: [36, 16] Generated Node #3: [36, 16] from Operation: 94-78=16 Current State: 52:[36, 16], Operations: ['43-7=36', '94-78=16'] Exploring Operation: 36+16=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 41, 39, 71, 68 ]
84
[ "71-68=3", "41*3=123", "123-39=84" ]
Current State: 84:[41, 39, 71, 68], Operations: [] Exploring Operation: 71-68=3, Resulting Numbers: [41, 39, 3] Generated Node #2: [41, 39, 3] from Operation: 71-68=3 Current State: 84:[41, 39, 3], Operations: ['71-68=3'] Exploring Operation: 41*3=123, Resulting Numbers: [39, 123] Generated Node #3: [39, 123] from Operation: 41*3=123 Current State: 84:[39, 123], Operations: ['71-68=3', '41*3=123'] Exploring Operation: 123-39=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 16, 72, 60, 98 ]
70
[ "16+72=88", "60+98=158", "158-88=70" ]
Current State: 70:[16, 72, 60, 98], Operations: [] Exploring Operation: 16+72=88, Resulting Numbers: [60, 98, 88] Generated Node #2: [60, 98, 88] from Operation: 16+72=88 Current State: 70:[60, 98, 88], Operations: ['16+72=88'] Exploring Operation: 60+98=158, Resulting Numbers: [88, 158] Generated Node #3: [88, 158] from Operation: 60+98=158 Current State: 70:[88, 158], Operations: ['16+72=88', '60+98=158'] Exploring Operation: 158-88=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 58, 53, 43, 61 ]
90
[ "58-53=5", "61-43=18", "5*18=90" ]
Current State: 90:[58, 53, 43, 61], Operations: [] Exploring Operation: 58-53=5, Resulting Numbers: [43, 61, 5] Generated Node #2: [43, 61, 5] from Operation: 58-53=5 Current State: 90:[43, 61, 5], Operations: ['58-53=5'] Exploring Operation: 61-43=18, Resulting Numbers: [5, 18] Generated Node #3: [5, 18] from Operation: 61-43=18 Current State: 90:[5, 18], Operations: ['58-53=5', '61-43=18'] Exploring Operation: 5*18=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 94, 51, 97, 15 ]
32
[ "97-94=3", "51/3=17", "15+17=32" ]
Current State: 32:[94, 51, 97, 15], Operations: [] Exploring Operation: 97-94=3, Resulting Numbers: [51, 15, 3] Generated Node #2: [51, 15, 3] from Operation: 97-94=3 Current State: 32:[51, 15, 3], Operations: ['97-94=3'] Exploring Operation: 51/3=17, Resulting Numbers: [15, 17] Generated Node #3: [15, 17] from Operation: 51/3=17 Current State: 32:[15, 17], Operations: ['97-94=3', '51/3=17'] Exploring Operation: 15+17=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 48, 66, 36, 46 ]
23
[ "66-48=18", "36/18=2", "46/2=23" ]
Current State: 23:[48, 66, 36, 46], Operations: [] Exploring Operation: 66-48=18, Resulting Numbers: [36, 46, 18] Generated Node #2: [36, 46, 18] from Operation: 66-48=18 Current State: 23:[36, 46, 18], Operations: ['66-48=18'] Exploring Operation: 36/18=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 36/18=2 Current State: 23:[46, 2], Operations: ['66-48=18', '36/18=2'] Exploring Operation: 46/2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 2, 23, 73, 14 ]
39
[ "73-23=50", "50/2=25", "14+25=39" ]
Current State: 39:[2, 23, 73, 14], Operations: [] Exploring Operation: 73-23=50, Resulting Numbers: [2, 14, 50] Generated Node #2: [2, 14, 50] from Operation: 73-23=50 Current State: 39:[2, 14, 50], Operations: ['73-23=50'] Exploring Operation: 50/2=25, Resulting Numbers: [14, 25] Generated Node #3: [14, 25] from Operation: 50/2=25 Current State: 39:[14, 25], Operations: ['73-23=50', '50/2=25'] Exploring Operation: 14+25=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 6, 22, 35, 49 ]
42
[ "6+22=28", "49-35=14", "28+14=42" ]
Current State: 42:[6, 22, 35, 49], Operations: [] Exploring Operation: 6+22=28, Resulting Numbers: [35, 49, 28] Generated Node #2: [35, 49, 28] from Operation: 6+22=28 Current State: 42:[35, 49, 28], Operations: ['6+22=28'] Exploring Operation: 49-35=14, Resulting Numbers: [28, 14] Generated Node #3: [28, 14] from Operation: 49-35=14 Current State: 42:[28, 14], Operations: ['6+22=28', '49-35=14'] Exploring Operation: 28+14=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 90, 21, 41, 95 ]
57
[ "90+21=111", "95-41=54", "111-54=57" ]
Current State: 57:[90, 21, 41, 95], Operations: [] Exploring Operation: 90+21=111, Resulting Numbers: [41, 95, 111] Generated Node #2: [41, 95, 111] from Operation: 90+21=111 Current State: 57:[41, 95, 111], Operations: ['90+21=111'] Exploring Operation: 95-41=54, Resulting Numbers: [111, 54] Generated Node #3: [111, 54] from Operation: 95-41=54 Current State: 57:[111, 54], Operations: ['90+21=111', '95-41=54'] Exploring Operation: 111-54=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 53, 68, 34, 8 ]
37
[ "68/34=2", "8*2=16", "53-16=37" ]
Current State: 37:[53, 68, 34, 8], Operations: [] Exploring Operation: 68/34=2, Resulting Numbers: [53, 8, 2] Generated Node #2: [53, 8, 2] from Operation: 68/34=2 Current State: 37:[53, 8, 2], Operations: ['68/34=2'] Exploring Operation: 8*2=16, Resulting Numbers: [53, 16] Generated Node #3: [53, 16] from Operation: 8*2=16 Current State: 37:[53, 16], Operations: ['68/34=2', '8*2=16'] Exploring Operation: 53-16=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 13, 5, 72, 74 ]
81
[ "13*5=65", "72+74=146", "146-65=81" ]
Current State: 81:[13, 5, 72, 74], Operations: [] Exploring Operation: 13*5=65, Resulting Numbers: [72, 74, 65] Generated Node #2: [72, 74, 65] from Operation: 13*5=65 Current State: 81:[72, 74, 65], Operations: ['13*5=65'] Exploring Operation: 72+74=146, Resulting Numbers: [65, 146] Generated Node #3: [65, 146] from Operation: 72+74=146 Current State: 81:[65, 146], Operations: ['13*5=65', '72+74=146'] Exploring Operation: 146-65=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 62, 7, 97, 84 ]
56
[ "62+7=69", "97-84=13", "69-13=56" ]
Current State: 56:[62, 7, 97, 84], Operations: [] Exploring Operation: 62+7=69, Resulting Numbers: [97, 84, 69] Generated Node #2: [97, 84, 69] from Operation: 62+7=69 Current State: 56:[97, 84, 69], Operations: ['62+7=69'] Exploring Operation: 97-84=13, Resulting Numbers: [69, 13] Generated Node #3: [69, 13] from Operation: 97-84=13 Current State: 56:[69, 13], Operations: ['62+7=69', '97-84=13'] Exploring Operation: 69-13=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 22, 5, 22, 6 ]
31
[ "22/22=1", "5*6=30", "1+30=31" ]
Current State: 31:[22, 5, 22, 6], Operations: [] Exploring Operation: 22/22=1, Resulting Numbers: [5, 6, 1] Generated Node #2: [5, 6, 1] from Operation: 22/22=1 Current State: 31:[5, 6, 1], Operations: ['22/22=1'] Exploring Operation: 5*6=30, Resulting Numbers: [1, 30] Generated Node #3: [1, 30] from Operation: 5*6=30 Current State: 31:[1, 30], Operations: ['22/22=1', '5*6=30'] Exploring Operation: 1+30=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 43, 73, 39, 7 ]
11
[ "43+73=116", "116-39=77", "77/7=11" ]
Current State: 11:[43, 73, 39, 7], Operations: [] Exploring Operation: 43+73=116, Resulting Numbers: [39, 7, 116] Generated Node #2: [39, 7, 116] from Operation: 43+73=116 Current State: 11:[39, 7, 116], Operations: ['43+73=116'] Exploring Operation: 116-39=77, Resulting Numbers: [7, 77] Generated Node #3: [7, 77] from Operation: 116-39=77 Current State: 11:[7, 77], Operations: ['43+73=116', '116-39=77'] Exploring Operation: 77/7=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 49, 50, 6, 16 ]
95
[ "50-49=1", "6*16=96", "96-1=95" ]
Current State: 95:[49, 50, 6, 16], Operations: [] Exploring Operation: 50-49=1, Resulting Numbers: [6, 16, 1] Generated Node #2: [6, 16, 1] from Operation: 50-49=1 Current State: 95:[6, 16, 1], Operations: ['50-49=1'] Exploring Operation: 6*16=96, Resulting Numbers: [1, 96] Generated Node #3: [1, 96] from Operation: 6*16=96 Current State: 95:[1, 96], Operations: ['50-49=1', '6*16=96'] Exploring Operation: 96-1=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 47, 20, 2, 38 ]
83
[ "38-20=18", "2*18=36", "47+36=83" ]
Current State: 83:[47, 20, 2, 38], Operations: [] Exploring Operation: 38-20=18, Resulting Numbers: [47, 2, 18] Generated Node #2: [47, 2, 18] from Operation: 38-20=18 Current State: 83:[47, 2, 18], Operations: ['38-20=18'] Exploring Operation: 2*18=36, Resulting Numbers: [47, 36] Generated Node #3: [47, 36] from Operation: 2*18=36 Current State: 83:[47, 36], Operations: ['38-20=18', '2*18=36'] Exploring Operation: 47+36=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 91, 45, 76, 69 ]
23
[ "91-76=15", "45/15=3", "69/3=23" ]
Current State: 23:[91, 45, 76, 69], Operations: [] Exploring Operation: 91-76=15, Resulting Numbers: [45, 69, 15] Generated Node #2: [45, 69, 15] from Operation: 91-76=15 Current State: 23:[45, 69, 15], Operations: ['91-76=15'] Exploring Operation: 45/15=3, Resulting Numbers: [69, 3] Generated Node #3: [69, 3] from Operation: 45/15=3 Current State: 23:[69, 3], Operations: ['91-76=15', '45/15=3'] Exploring Operation: 69/3=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 53, 27, 6, 4 ]
31
[ "27-6=21", "4*21=84", "84-53=31" ]
Current State: 31:[53, 27, 6, 4], Operations: [] Exploring Operation: 27-6=21, Resulting Numbers: [53, 4, 21] Generated Node #2: [53, 4, 21] from Operation: 27-6=21 Current State: 31:[53, 4, 21], Operations: ['27-6=21'] Exploring Operation: 4*21=84, Resulting Numbers: [53, 84] Generated Node #3: [53, 84] from Operation: 4*21=84 Current State: 31:[53, 84], Operations: ['27-6=21', '4*21=84'] Exploring Operation: 84-53=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4