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
[ 84, 30, 87, 17 ]
50
[ "84-30=54", "87+17=104", "104-54=50" ]
Current State: 50:[84, 30, 87, 17], Operations: [] Exploring Operation: 84-30=54, Resulting Numbers: [87, 17, 54] Generated Node #2: [87, 17, 54] from Operation: 84-30=54 Current State: 50:[87, 17, 54], Operations: ['84-30=54'] Exploring Operation: 87+17=104, Resulting Numbers: [54, 104] Generated Node #3: [54, 104] from Operation: 87+17=104 Current State: 50:[54, 104], Operations: ['84-30=54', '87+17=104'] Exploring Operation: 104-54=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 43, 21, 82, 45 ]
15
[ "43-21=22", "82-45=37", "37-22=15" ]
Current State: 15:[43, 21, 82, 45], Operations: [] Exploring Operation: 43-21=22, Resulting Numbers: [82, 45, 22] Generated Node #2: [82, 45, 22] from Operation: 43-21=22 Current State: 15:[82, 45, 22], Operations: ['43-21=22'] Exploring Operation: 82-45=37, Resulting Numbers: [22, 37] Generated Node #3: [22, 37] from Operation: 82-45=37 Current State: 15:[22, 37], Operations: ['43-21=22', '82-45=37'] Exploring Operation: 37-22=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 12, 35, 98, 37 ]
37
[ "12+37=49", "98/49=2", "35+2=37" ]
Current State: 37:[12, 35, 98, 37], Operations: [] Exploring Operation: 12+37=49, Resulting Numbers: [35, 98, 49] Generated Node #2: [35, 98, 49] from Operation: 12+37=49 Current State: 37:[35, 98, 49], Operations: ['12+37=49'] Exploring Operation: 98/49=2, Resulting Numbers: [35, 2] Generated Node #3: [35, 2] from Operation: 98/49=2 Current State: 37:[35, 2], Operations: ['12+37=49', '98/49=2'] Exploring Operation: 35+2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 17, 5, 79, 68 ]
23
[ "17-5=12", "79-68=11", "12+11=23" ]
Current State: 23:[17, 5, 79, 68], Operations: [] Exploring Operation: 17-5=12, Resulting Numbers: [79, 68, 12] Generated Node #2: [79, 68, 12] from Operation: 17-5=12 Current State: 23:[79, 68, 12], Operations: ['17-5=12'] Exploring Operation: 79-68=11, Resulting Numbers: [12, 11] Generated Node #3: [12, 11] from Operation: 79-68=11 Current State: 23:[12, 11], Operations: ['17-5=12', '79-68=11'] Exploring Operation: 12+11=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 73, 77, 13, 53 ]
63
[ "77+53=130", "130/13=10", "73-10=63" ]
Current State: 63:[73, 77, 13, 53], Operations: [] Exploring Operation: 77+53=130, Resulting Numbers: [73, 13, 130] Generated Node #2: [73, 13, 130] from Operation: 77+53=130 Current State: 63:[73, 13, 130], Operations: ['77+53=130'] Exploring Operation: 130/13=10, Resulting Numbers: [73, 10] Generated Node #3: [73, 10] from Operation: 130/13=10 Current State: 63:[73, 10], Operations: ['77+53=130', '130/13=10'] Exploring Operation: 73-10=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 6, 26, 21, 15 ]
62
[ "21-15=6", "6*6=36", "26+36=62" ]
Current State: 62:[6, 26, 21, 15], Operations: [] Exploring Operation: 21-15=6, Resulting Numbers: [6, 26, 6] Generated Node #2: [6, 26, 6] from Operation: 21-15=6 Current State: 62:[6, 26, 6], Operations: ['21-15=6'] Exploring Operation: 6*6=36, Resulting Numbers: [26, 36] Generated Node #3: [26, 36] from Operation: 6*6=36 Current State: 62:[26, 36], Operations: ['21-15=6', '6*6=36'] Exploring Operation: 26+36=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 55, 54, 55, 43 ]
43
[ "55-55=0", "54*0=0", "43+0=43" ]
Current State: 43:[55, 54, 55, 43], Operations: [] Exploring Operation: 55-55=0, Resulting Numbers: [54, 43, 0] Generated Node #2: [54, 43, 0] from Operation: 55-55=0 Current State: 43:[54, 43, 0], Operations: ['55-55=0'] Exploring Operation: 54*0=0, Resulting Numbers: [43, 0] Generated Node #3: [43, 0] from Operation: 54*0=0 Current State: 43:[43, 0], Operations: ['55-55=0', '54*0=0'] Exploring Operation: 43+0=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 36, 53, 4, 18 ]
75
[ "36+53=89", "18-4=14", "89-14=75" ]
Current State: 75:[36, 53, 4, 18], Operations: [] Exploring Operation: 36+53=89, Resulting Numbers: [4, 18, 89] Generated Node #2: [4, 18, 89] from Operation: 36+53=89 Current State: 75:[4, 18, 89], Operations: ['36+53=89'] Exploring Operation: 18-4=14, Resulting Numbers: [89, 14] Generated Node #3: [89, 14] from Operation: 18-4=14 Current State: 75:[89, 14], Operations: ['36+53=89', '18-4=14'] Exploring Operation: 89-14=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 71, 14, 18, 24 ]
68
[ "18+24=42", "42/14=3", "71-3=68" ]
Current State: 68:[71, 14, 18, 24], Operations: [] Exploring Operation: 18+24=42, Resulting Numbers: [71, 14, 42] Generated Node #2: [71, 14, 42] from Operation: 18+24=42 Current State: 68:[71, 14, 42], Operations: ['18+24=42'] Exploring Operation: 42/14=3, Resulting Numbers: [71, 3] Generated Node #3: [71, 3] from Operation: 42/14=3 Current State: 68:[71, 3], Operations: ['18+24=42', '42/14=3'] Exploring Operation: 71-3=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 30, 55, 44, 8 ]
11
[ "55-30=25", "44-8=36", "36-25=11" ]
Current State: 11:[30, 55, 44, 8], Operations: [] Exploring Operation: 55-30=25, Resulting Numbers: [44, 8, 25] Generated Node #2: [44, 8, 25] from Operation: 55-30=25 Current State: 11:[44, 8, 25], Operations: ['55-30=25'] Exploring Operation: 44-8=36, Resulting Numbers: [25, 36] Generated Node #3: [25, 36] from Operation: 44-8=36 Current State: 11:[25, 36], Operations: ['55-30=25', '44-8=36'] Exploring Operation: 36-25=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 44, 52, 17, 41 ]
57
[ "44+41=85", "85/17=5", "52+5=57" ]
Current State: 57:[44, 52, 17, 41], Operations: [] Exploring Operation: 44+41=85, Resulting Numbers: [52, 17, 85] Generated Node #2: [52, 17, 85] from Operation: 44+41=85 Current State: 57:[52, 17, 85], Operations: ['44+41=85'] Exploring Operation: 85/17=5, Resulting Numbers: [52, 5] Generated Node #3: [52, 5] from Operation: 85/17=5 Current State: 57:[52, 5], Operations: ['44+41=85', '85/17=5'] Exploring Operation: 52+5=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 47, 92, 33, 30 ]
15
[ "92-47=45", "33-30=3", "45/3=15" ]
Current State: 15:[47, 92, 33, 30], Operations: [] Exploring Operation: 92-47=45, Resulting Numbers: [33, 30, 45] Generated Node #2: [33, 30, 45] from Operation: 92-47=45 Current State: 15:[33, 30, 45], Operations: ['92-47=45'] Exploring Operation: 33-30=3, Resulting Numbers: [45, 3] Generated Node #3: [45, 3] from Operation: 33-30=3 Current State: 15:[45, 3], Operations: ['92-47=45', '33-30=3'] Exploring Operation: 45/3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 45, 96, 64, 96 ]
64
[ "96-96=0", "45*0=0", "64+0=64" ]
Current State: 64:[45, 96, 64, 96], Operations: [] Exploring Operation: 96-96=0, Resulting Numbers: [45, 64, 0] Generated Node #2: [45, 64, 0] from Operation: 96-96=0 Current State: 64:[45, 64, 0], Operations: ['96-96=0'] Exploring Operation: 45*0=0, Resulting Numbers: [64, 0] Generated Node #3: [64, 0] from Operation: 45*0=0 Current State: 64:[64, 0], Operations: ['96-96=0', '45*0=0'] Exploring Operation: 64+0=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 84, 26, 8, 24 ]
90
[ "84-26=58", "8+24=32", "58+32=90" ]
Current State: 90:[84, 26, 8, 24], Operations: [] Exploring Operation: 84-26=58, Resulting Numbers: [8, 24, 58] Generated Node #2: [8, 24, 58] from Operation: 84-26=58 Current State: 90:[8, 24, 58], Operations: ['84-26=58'] Exploring Operation: 8+24=32, Resulting Numbers: [58, 32] Generated Node #3: [58, 32] from Operation: 8+24=32 Current State: 90:[58, 32], Operations: ['84-26=58', '8+24=32'] Exploring Operation: 58+32=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 32, 88, 97, 82 ]
59
[ "32+88=120", "97+82=179", "179-120=59" ]
Current State: 59:[32, 88, 97, 82], Operations: [] Exploring Operation: 32+88=120, Resulting Numbers: [97, 82, 120] Generated Node #2: [97, 82, 120] from Operation: 32+88=120 Current State: 59:[97, 82, 120], Operations: ['32+88=120'] Exploring Operation: 97+82=179, Resulting Numbers: [120, 179] Generated Node #3: [120, 179] from Operation: 97+82=179 Current State: 59:[120, 179], Operations: ['32+88=120', '97+82=179'] Exploring Operation: 179-120=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 51, 56, 37, 5 ]
62
[ "56-51=5", "5*5=25", "37+25=62" ]
Current State: 62:[51, 56, 37, 5], Operations: [] Exploring Operation: 56-51=5, Resulting Numbers: [37, 5, 5] Generated Node #2: [37, 5, 5] from Operation: 56-51=5 Current State: 62:[37, 5, 5], Operations: ['56-51=5'] Exploring Operation: 5*5=25, Resulting Numbers: [37, 25] Generated Node #3: [37, 25] from Operation: 5*5=25 Current State: 62:[37, 25], Operations: ['56-51=5', '5*5=25'] Exploring Operation: 37+25=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 48, 9, 12, 32 ]
68
[ "48*9=432", "432/12=36", "32+36=68" ]
Current State: 68:[48, 9, 12, 32], Operations: [] Exploring Operation: 48*9=432, Resulting Numbers: [12, 32, 432] Generated Node #2: [12, 32, 432] from Operation: 48*9=432 Current State: 68:[12, 32, 432], Operations: ['48*9=432'] Exploring Operation: 432/12=36, Resulting Numbers: [32, 36] Generated Node #3: [32, 36] from Operation: 432/12=36 Current State: 68:[32, 36], Operations: ['48*9=432', '432/12=36'] Exploring Operation: 32+36=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 49, 20, 72, 78 ]
81
[ "49+20=69", "72+78=150", "150-69=81" ]
Current State: 81:[49, 20, 72, 78], Operations: [] Exploring Operation: 49+20=69, Resulting Numbers: [72, 78, 69] Generated Node #2: [72, 78, 69] from Operation: 49+20=69 Current State: 81:[72, 78, 69], Operations: ['49+20=69'] Exploring Operation: 72+78=150, Resulting Numbers: [69, 150] Generated Node #3: [69, 150] from Operation: 72+78=150 Current State: 81:[69, 150], Operations: ['49+20=69', '72+78=150'] Exploring Operation: 150-69=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 15, 89, 29, 25 ]
70
[ "89-15=74", "29-25=4", "74-4=70" ]
Current State: 70:[15, 89, 29, 25], Operations: [] Exploring Operation: 89-15=74, Resulting Numbers: [29, 25, 74] Generated Node #2: [29, 25, 74] from Operation: 89-15=74 Current State: 70:[29, 25, 74], Operations: ['89-15=74'] Exploring Operation: 29-25=4, Resulting Numbers: [74, 4] Generated Node #3: [74, 4] from Operation: 29-25=4 Current State: 70:[74, 4], Operations: ['89-15=74', '29-25=4'] Exploring Operation: 74-4=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 18, 6, 11, 72 ]
62
[ "72/18=4", "6*11=66", "66-4=62" ]
Current State: 62:[18, 6, 11, 72], Operations: [] Exploring Operation: 72/18=4, Resulting Numbers: [6, 11, 4] Generated Node #2: [6, 11, 4] from Operation: 72/18=4 Current State: 62:[6, 11, 4], Operations: ['72/18=4'] Exploring Operation: 6*11=66, Resulting Numbers: [4, 66] Generated Node #3: [4, 66] from Operation: 6*11=66 Current State: 62:[4, 66], Operations: ['72/18=4', '6*11=66'] Exploring Operation: 66-4=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 51, 9, 69, 81 ]
79
[ "69-51=18", "18/9=2", "81-2=79" ]
Current State: 79:[51, 9, 69, 81], Operations: [] Exploring Operation: 69-51=18, Resulting Numbers: [9, 81, 18] Generated Node #2: [9, 81, 18] from Operation: 69-51=18 Current State: 79:[9, 81, 18], Operations: ['69-51=18'] Exploring Operation: 18/9=2, Resulting Numbers: [81, 2] Generated Node #3: [81, 2] from Operation: 18/9=2 Current State: 79:[81, 2], Operations: ['69-51=18', '18/9=2'] Exploring Operation: 81-2=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 8, 5, 30, 78 ]
16
[ "8-5=3", "78-30=48", "48/3=16" ]
Current State: 16:[8, 5, 30, 78], Operations: [] Exploring Operation: 8-5=3, Resulting Numbers: [30, 78, 3] Generated Node #2: [30, 78, 3] from Operation: 8-5=3 Current State: 16:[30, 78, 3], Operations: ['8-5=3'] Exploring Operation: 78-30=48, Resulting Numbers: [3, 48] Generated Node #3: [3, 48] from Operation: 78-30=48 Current State: 16:[3, 48], Operations: ['8-5=3', '78-30=48'] Exploring Operation: 48/3=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 31, 48, 50, 3 ]
95
[ "31*3=93", "50-48=2", "93+2=95" ]
Current State: 95:[31, 48, 50, 3], Operations: [] Exploring Operation: 31*3=93, Resulting Numbers: [48, 50, 93] Generated Node #2: [48, 50, 93] from Operation: 31*3=93 Current State: 95:[48, 50, 93], Operations: ['31*3=93'] Exploring Operation: 50-48=2, Resulting Numbers: [93, 2] Generated Node #3: [93, 2] from Operation: 50-48=2 Current State: 95:[93, 2], Operations: ['31*3=93', '50-48=2'] Exploring Operation: 93+2=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 97, 37, 62, 67 ]
31
[ "97+37=134", "62*67=4154", "4154/134=31" ]
Current State: 31:[97, 37, 62, 67], Operations: [] Exploring Operation: 97+37=134, Resulting Numbers: [62, 67, 134] Generated Node #2: [62, 67, 134] from Operation: 97+37=134 Current State: 31:[62, 67, 134], Operations: ['97+37=134'] Exploring Operation: 62*67=4154, Resulting Numbers: [134, 4154] Generated Node #3: [134, 4154] from Operation: 62*67=4154 Current State: 31:[134, 4154], Operations: ['97+37=134', '62*67=4154'] Exploring Operation: 4154/134=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 29, 87, 8, 3 ]
17
[ "87/29=3", "3*3=9", "8+9=17" ]
Current State: 17:[29, 87, 8, 3], Operations: [] Exploring Operation: 87/29=3, Resulting Numbers: [8, 3, 3] Generated Node #2: [8, 3, 3] from Operation: 87/29=3 Current State: 17:[8, 3, 3], Operations: ['87/29=3'] Exploring Operation: 3*3=9, Resulting Numbers: [8, 9] Generated Node #3: [8, 9] from Operation: 3*3=9 Current State: 17:[8, 9], Operations: ['87/29=3', '3*3=9'] Exploring Operation: 8+9=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 88, 15, 33, 51 ]
90
[ "15+51=66", "66/33=2", "88+2=90" ]
Current State: 90:[88, 15, 33, 51], Operations: [] Exploring Operation: 15+51=66, Resulting Numbers: [88, 33, 66] Generated Node #2: [88, 33, 66] from Operation: 15+51=66 Current State: 90:[88, 33, 66], Operations: ['15+51=66'] Exploring Operation: 66/33=2, Resulting Numbers: [88, 2] Generated Node #3: [88, 2] from Operation: 66/33=2 Current State: 90:[88, 2], Operations: ['15+51=66', '66/33=2'] Exploring Operation: 88+2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 99, 49, 20, 32 ]
62
[ "99-49=50", "32-20=12", "50+12=62" ]
Current State: 62:[99, 49, 20, 32], Operations: [] Exploring Operation: 99-49=50, Resulting Numbers: [20, 32, 50] Generated Node #2: [20, 32, 50] from Operation: 99-49=50 Current State: 62:[20, 32, 50], Operations: ['99-49=50'] Exploring Operation: 32-20=12, Resulting Numbers: [50, 12] Generated Node #3: [50, 12] from Operation: 32-20=12 Current State: 62:[50, 12], Operations: ['99-49=50', '32-20=12'] Exploring Operation: 50+12=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 64, 2, 33, 5 ]
46
[ "64+33=97", "97-5=92", "92/2=46" ]
Current State: 46:[64, 2, 33, 5], Operations: [] Exploring Operation: 64+33=97, Resulting Numbers: [2, 5, 97] Generated Node #2: [2, 5, 97] from Operation: 64+33=97 Current State: 46:[2, 5, 97], Operations: ['64+33=97'] Exploring Operation: 97-5=92, Resulting Numbers: [2, 92] Generated Node #3: [2, 92] from Operation: 97-5=92 Current State: 46:[2, 92], Operations: ['64+33=97', '97-5=92'] Exploring Operation: 92/2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 42, 7, 14, 74 ]
76
[ "7+14=21", "42/21=2", "74+2=76" ]
Current State: 76:[42, 7, 14, 74], Operations: [] Exploring Operation: 7+14=21, Resulting Numbers: [42, 74, 21] Generated Node #2: [42, 74, 21] from Operation: 7+14=21 Current State: 76:[42, 74, 21], Operations: ['7+14=21'] Exploring Operation: 42/21=2, Resulting Numbers: [74, 2] Generated Node #3: [74, 2] from Operation: 42/21=2 Current State: 76:[74, 2], Operations: ['7+14=21', '42/21=2'] Exploring Operation: 74+2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 96, 90, 74, 90 ]
59
[ "96-90=6", "90/6=15", "74-15=59" ]
Current State: 59:[96, 90, 74, 90], Operations: [] Exploring Operation: 96-90=6, Resulting Numbers: [74, 6] Generated Node #2: [74, 6] from Operation: 96-90=6 Current State: 59:[74, 6], Operations: ['96-90=6'] Exploring Operation: 90/6=15, Resulting Numbers: [74, 15] Generated Node #3: [74, 15] from Operation: 90/6=15 Current State: 59:[74, 15], Operations: ['96-90=6', '90/6=15'] Exploring Operation: 74-15=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 71, 20, 22, 73 ]
84
[ "73-71=2", "20+22=42", "2*42=84" ]
Current State: 84:[71, 20, 22, 73], Operations: [] Exploring Operation: 73-71=2, Resulting Numbers: [20, 22, 2] Generated Node #2: [20, 22, 2] from Operation: 73-71=2 Current State: 84:[20, 22, 2], Operations: ['73-71=2'] Exploring Operation: 20+22=42, Resulting Numbers: [2, 42] Generated Node #3: [2, 42] from Operation: 20+22=42 Current State: 84:[2, 42], Operations: ['73-71=2', '20+22=42'] Exploring Operation: 2*42=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 78, 39, 46, 64 ]
20
[ "78/39=2", "64-46=18", "2+18=20" ]
Current State: 20:[78, 39, 46, 64], Operations: [] Exploring Operation: 78/39=2, Resulting Numbers: [46, 64, 2] Generated Node #2: [46, 64, 2] from Operation: 78/39=2 Current State: 20:[46, 64, 2], Operations: ['78/39=2'] Exploring Operation: 64-46=18, Resulting Numbers: [2, 18] Generated Node #3: [2, 18] from Operation: 64-46=18 Current State: 20:[2, 18], Operations: ['78/39=2', '64-46=18'] Exploring Operation: 2+18=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 29, 24, 47, 70 ]
31
[ "24+70=94", "94/47=2", "29+2=31" ]
Current State: 31:[29, 24, 47, 70], Operations: [] Exploring Operation: 24+70=94, Resulting Numbers: [29, 47, 94] Generated Node #2: [29, 47, 94] from Operation: 24+70=94 Current State: 31:[29, 47, 94], Operations: ['24+70=94'] Exploring Operation: 94/47=2, Resulting Numbers: [29, 2] Generated Node #3: [29, 2] from Operation: 94/47=2 Current State: 31:[29, 2], Operations: ['24+70=94', '94/47=2'] Exploring Operation: 29+2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 9, 42, 93, 53 ]
18
[ "93-42=51", "53-51=2", "9*2=18" ]
Current State: 18:[9, 42, 93, 53], Operations: [] Exploring Operation: 93-42=51, Resulting Numbers: [9, 53, 51] Generated Node #2: [9, 53, 51] from Operation: 93-42=51 Current State: 18:[9, 53, 51], Operations: ['93-42=51'] Exploring Operation: 53-51=2, Resulting Numbers: [9, 2] Generated Node #3: [9, 2] from Operation: 53-51=2 Current State: 18:[9, 2], Operations: ['93-42=51', '53-51=2'] Exploring Operation: 9*2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 82, 26, 87, 9 ]
79
[ "87-9=78", "78/26=3", "82-3=79" ]
Current State: 79:[82, 26, 87, 9], Operations: [] Exploring Operation: 87-9=78, Resulting Numbers: [82, 26, 78] Generated Node #2: [82, 26, 78] from Operation: 87-9=78 Current State: 79:[82, 26, 78], Operations: ['87-9=78'] Exploring Operation: 78/26=3, Resulting Numbers: [82, 3] Generated Node #3: [82, 3] from Operation: 78/26=3 Current State: 79:[82, 3], Operations: ['87-9=78', '78/26=3'] Exploring Operation: 82-3=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 73, 72, 71, 23 ]
48
[ "73-72=1", "71-23=48", "1*48=48" ]
Current State: 48:[73, 72, 71, 23], Operations: [] Exploring Operation: 73-72=1, Resulting Numbers: [71, 23, 1] Generated Node #2: [71, 23, 1] from Operation: 73-72=1 Current State: 48:[71, 23, 1], Operations: ['73-72=1'] Exploring Operation: 71-23=48, Resulting Numbers: [1, 48] Generated Node #3: [1, 48] from Operation: 71-23=48 Current State: 48:[1, 48], Operations: ['73-72=1', '71-23=48'] Exploring Operation: 1*48=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 59, 2, 20, 18 ]
95
[ "59-2=57", "20+18=38", "57+38=95" ]
Current State: 95:[59, 2, 20, 18], Operations: [] Exploring Operation: 59-2=57, Resulting Numbers: [20, 18, 57] Generated Node #2: [20, 18, 57] from Operation: 59-2=57 Current State: 95:[20, 18, 57], Operations: ['59-2=57'] Exploring Operation: 20+18=38, Resulting Numbers: [57, 38] Generated Node #3: [57, 38] from Operation: 20+18=38 Current State: 95:[57, 38], Operations: ['59-2=57', '20+18=38'] Exploring Operation: 57+38=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 86, 94, 70, 64 ]
62
[ "94-86=8", "64/8=8", "70-8=62" ]
Current State: 62:[86, 94, 70, 64], Operations: [] Exploring Operation: 94-86=8, Resulting Numbers: [70, 64, 8] Generated Node #2: [70, 64, 8] from Operation: 94-86=8 Current State: 62:[70, 64, 8], Operations: ['94-86=8'] Exploring Operation: 64/8=8, Resulting Numbers: [70, 8] Generated Node #3: [70, 8] from Operation: 64/8=8 Current State: 62:[70, 8], Operations: ['94-86=8', '64/8=8'] Exploring Operation: 70-8=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 55, 33, 36, 89 ]
75
[ "55-33=22", "89-36=53", "22+53=75" ]
Current State: 75:[55, 33, 36, 89], Operations: [] Exploring Operation: 55-33=22, Resulting Numbers: [36, 89, 22] Generated Node #2: [36, 89, 22] from Operation: 55-33=22 Current State: 75:[36, 89, 22], Operations: ['55-33=22'] Exploring Operation: 89-36=53, Resulting Numbers: [22, 53] Generated Node #3: [22, 53] from Operation: 89-36=53 Current State: 75:[22, 53], Operations: ['55-33=22', '89-36=53'] Exploring Operation: 22+53=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 78, 80, 33, 37 ]
41
[ "80-78=2", "37*2=74", "74-33=41" ]
Current State: 41:[78, 80, 33, 37], Operations: [] Exploring Operation: 80-78=2, Resulting Numbers: [33, 37, 2] Generated Node #2: [33, 37, 2] from Operation: 80-78=2 Current State: 41:[33, 37, 2], Operations: ['80-78=2'] Exploring Operation: 37*2=74, Resulting Numbers: [33, 74] Generated Node #3: [33, 74] from Operation: 37*2=74 Current State: 41:[33, 74], Operations: ['80-78=2', '37*2=74'] Exploring Operation: 74-33=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 54, 75, 35, 41 ]
15
[ "75-54=21", "41-35=6", "21-6=15" ]
Current State: 15:[54, 75, 35, 41], Operations: [] Exploring Operation: 75-54=21, Resulting Numbers: [35, 41, 21] Generated Node #2: [35, 41, 21] from Operation: 75-54=21 Current State: 15:[35, 41, 21], Operations: ['75-54=21'] Exploring Operation: 41-35=6, Resulting Numbers: [21, 6] Generated Node #3: [21, 6] from Operation: 41-35=6 Current State: 15:[21, 6], Operations: ['75-54=21', '41-35=6'] Exploring Operation: 21-6=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 62, 14, 12, 74 ]
13
[ "62+12=74", "74/74=1", "14-1=13" ]
Current State: 13:[62, 14, 12, 74], Operations: [] Exploring Operation: 62+12=74, Resulting Numbers: [14, 74, 74] Generated Node #2: [14, 74, 74] from Operation: 62+12=74 Current State: 13:[14, 74, 74], Operations: ['62+12=74'] Exploring Operation: 74/74=1, Resulting Numbers: [14, 1] Generated Node #3: [14, 1] from Operation: 74/74=1 Current State: 13:[14, 1], Operations: ['62+12=74', '74/74=1'] Exploring Operation: 14-1=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 19, 21, 15, 13 ]
20
[ "19+21=40", "15-13=2", "40/2=20" ]
Current State: 20:[19, 21, 15, 13], Operations: [] Exploring Operation: 19+21=40, Resulting Numbers: [15, 13, 40] Generated Node #2: [15, 13, 40] from Operation: 19+21=40 Current State: 20:[15, 13, 40], Operations: ['19+21=40'] Exploring Operation: 15-13=2, Resulting Numbers: [40, 2] Generated Node #3: [40, 2] from Operation: 15-13=2 Current State: 20:[40, 2], Operations: ['19+21=40', '15-13=2'] Exploring Operation: 40/2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 91, 8, 12, 22 ]
78
[ "91*12=1092", "22-8=14", "1092/14=78" ]
Current State: 78:[91, 8, 12, 22], Operations: [] Exploring Operation: 91*12=1092, Resulting Numbers: [8, 22, 1092] Generated Node #2: [8, 22, 1092] from Operation: 91*12=1092 Current State: 78:[8, 22, 1092], Operations: ['91*12=1092'] Exploring Operation: 22-8=14, Resulting Numbers: [1092, 14] Generated Node #3: [1092, 14] from Operation: 22-8=14 Current State: 78:[1092, 14], Operations: ['91*12=1092', '22-8=14'] Exploring Operation: 1092/14=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 57, 67, 35, 55 ]
10
[ "67-57=10", "55-35=20", "20-10=10" ]
Current State: 10:[57, 67, 35, 55], Operations: [] Exploring Operation: 67-57=10, Resulting Numbers: [35, 55, 10] Generated Node #2: [35, 55, 10] from Operation: 67-57=10 Current State: 10:[35, 55, 10], Operations: ['67-57=10'] Exploring Operation: 55-35=20, Resulting Numbers: [10, 20] Generated Node #3: [10, 20] from Operation: 55-35=20 Current State: 10:[10, 20], Operations: ['67-57=10', '55-35=20'] Exploring Operation: 20-10=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 62, 95, 64, 68 ]
41
[ "64-62=2", "68*2=136", "136-95=41" ]
Current State: 41:[62, 95, 64, 68], Operations: [] Exploring Operation: 64-62=2, Resulting Numbers: [95, 68, 2] Generated Node #2: [95, 68, 2] from Operation: 64-62=2 Current State: 41:[95, 68, 2], Operations: ['64-62=2'] Exploring Operation: 68*2=136, Resulting Numbers: [95, 136] Generated Node #3: [95, 136] from Operation: 68*2=136 Current State: 41:[95, 136], Operations: ['64-62=2', '68*2=136'] Exploring Operation: 136-95=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 17, 57, 69, 10 ]
39
[ "57-17=40", "69+10=79", "79-40=39" ]
Current State: 39:[17, 57, 69, 10], Operations: [] Exploring Operation: 57-17=40, Resulting Numbers: [69, 10, 40] Generated Node #2: [69, 10, 40] from Operation: 57-17=40 Current State: 39:[69, 10, 40], Operations: ['57-17=40'] Exploring Operation: 69+10=79, Resulting Numbers: [40, 79] Generated Node #3: [40, 79] from Operation: 69+10=79 Current State: 39:[40, 79], Operations: ['57-17=40', '69+10=79'] Exploring Operation: 79-40=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 49, 90, 38, 13 ]
66
[ "90-49=41", "38-13=25", "41+25=66" ]
Current State: 66:[49, 90, 38, 13], Operations: [] Exploring Operation: 90-49=41, Resulting Numbers: [38, 13, 41] Generated Node #2: [38, 13, 41] from Operation: 90-49=41 Current State: 66:[38, 13, 41], Operations: ['90-49=41'] Exploring Operation: 38-13=25, Resulting Numbers: [41, 25] Generated Node #3: [41, 25] from Operation: 38-13=25 Current State: 66:[41, 25], Operations: ['90-49=41', '38-13=25'] Exploring Operation: 41+25=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 58, 31, 30, 2 ]
31
[ "58/2=29", "30-29=1", "31*1=31" ]
Current State: 31:[58, 31, 30, 2], Operations: [] Exploring Operation: 58/2=29, Resulting Numbers: [31, 30, 29] Generated Node #2: [31, 30, 29] from Operation: 58/2=29 Current State: 31:[31, 30, 29], Operations: ['58/2=29'] Exploring Operation: 30-29=1, Resulting Numbers: [31, 1] Generated Node #3: [31, 1] from Operation: 30-29=1 Current State: 31:[31, 1], Operations: ['58/2=29', '30-29=1'] Exploring Operation: 31*1=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 20, 55, 55, 99 ]
78
[ "99-20=79", "55/55=1", "79-1=78" ]
Current State: 78:[20, 55, 55, 99], Operations: [] Exploring Operation: 99-20=79, Resulting Numbers: [55, 55, 79] Generated Node #2: [55, 55, 79] from Operation: 99-20=79 Current State: 78:[55, 55, 79], Operations: ['99-20=79'] Exploring Operation: 55/55=1, Resulting Numbers: [79, 1] Generated Node #3: [79, 1] from Operation: 55/55=1 Current State: 78:[79, 1], Operations: ['99-20=79', '55/55=1'] Exploring Operation: 79-1=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 42, 70, 78, 7 ]
83
[ "42/7=6", "78/6=13", "70+13=83" ]
Current State: 83:[42, 70, 78, 7], Operations: [] Exploring Operation: 42/7=6, Resulting Numbers: [70, 78, 6] Generated Node #2: [70, 78, 6] from Operation: 42/7=6 Current State: 83:[70, 78, 6], Operations: ['42/7=6'] Exploring Operation: 78/6=13, Resulting Numbers: [70, 13] Generated Node #3: [70, 13] from Operation: 78/6=13 Current State: 83:[70, 13], Operations: ['42/7=6', '78/6=13'] Exploring Operation: 70+13=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 69, 79, 56, 67 ]
64
[ "79-56=23", "69/23=3", "67-3=64" ]
Current State: 64:[69, 79, 56, 67], Operations: [] Exploring Operation: 79-56=23, Resulting Numbers: [69, 67, 23] Generated Node #2: [69, 67, 23] from Operation: 79-56=23 Current State: 64:[69, 67, 23], Operations: ['79-56=23'] Exploring Operation: 69/23=3, Resulting Numbers: [67, 3] Generated Node #3: [67, 3] from Operation: 69/23=3 Current State: 64:[67, 3], Operations: ['79-56=23', '69/23=3'] Exploring Operation: 67-3=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 95, 26, 93, 70 ]
46
[ "95-26=69", "93-70=23", "69-23=46" ]
Current State: 46:[95, 26, 93, 70], Operations: [] Exploring Operation: 95-26=69, Resulting Numbers: [93, 70, 69] Generated Node #2: [93, 70, 69] from Operation: 95-26=69 Current State: 46:[93, 70, 69], Operations: ['95-26=69'] Exploring Operation: 93-70=23, Resulting Numbers: [69, 23] Generated Node #3: [69, 23] from Operation: 93-70=23 Current State: 46:[69, 23], Operations: ['95-26=69', '93-70=23'] Exploring Operation: 69-23=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 42, 46, 5, 6 ]
54
[ "46-42=4", "5+4=9", "6*9=54" ]
Current State: 54:[42, 46, 5, 6], Operations: [] Exploring Operation: 46-42=4, Resulting Numbers: [5, 6, 4] Generated Node #2: [5, 6, 4] from Operation: 46-42=4 Current State: 54:[5, 6, 4], Operations: ['46-42=4'] Exploring Operation: 5+4=9, Resulting Numbers: [6, 9] Generated Node #3: [6, 9] from Operation: 5+4=9 Current State: 54:[6, 9], Operations: ['46-42=4', '5+4=9'] Exploring Operation: 6*9=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 36, 78, 61, 9 ]
10
[ "78-36=42", "61-9=52", "52-42=10" ]
Current State: 10:[36, 78, 61, 9], Operations: [] Exploring Operation: 78-36=42, Resulting Numbers: [61, 9, 42] Generated Node #2: [61, 9, 42] from Operation: 78-36=42 Current State: 10:[61, 9, 42], Operations: ['78-36=42'] Exploring Operation: 61-9=52, Resulting Numbers: [42, 52] Generated Node #3: [42, 52] from Operation: 61-9=52 Current State: 10:[42, 52], Operations: ['78-36=42', '61-9=52'] Exploring Operation: 52-42=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 97, 71, 74, 9 ]
100
[ "74-71=3", "9/3=3", "97+3=100" ]
Current State: 100:[97, 71, 74, 9], Operations: [] Exploring Operation: 74-71=3, Resulting Numbers: [97, 9, 3] Generated Node #2: [97, 9, 3] from Operation: 74-71=3 Current State: 100:[97, 9, 3], Operations: ['74-71=3'] Exploring Operation: 9/3=3, Resulting Numbers: [97, 3] Generated Node #3: [97, 3] from Operation: 9/3=3 Current State: 100:[97, 3], Operations: ['74-71=3', '9/3=3'] Exploring Operation: 97+3=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 58, 47, 60, 5 ]
99
[ "60-58=2", "47*2=94", "5+94=99" ]
Current State: 99:[58, 47, 60, 5], Operations: [] Exploring Operation: 60-58=2, Resulting Numbers: [47, 5, 2] Generated Node #2: [47, 5, 2] from Operation: 60-58=2 Current State: 99:[47, 5, 2], Operations: ['60-58=2'] Exploring Operation: 47*2=94, Resulting Numbers: [5, 94] Generated Node #3: [5, 94] from Operation: 47*2=94 Current State: 99:[5, 94], Operations: ['60-58=2', '47*2=94'] Exploring Operation: 5+94=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 92, 97, 4, 94 ]
20
[ "92/4=23", "97-94=3", "23-3=20" ]
Current State: 20:[92, 97, 4, 94], Operations: [] Exploring Operation: 92/4=23, Resulting Numbers: [97, 94, 23] Generated Node #2: [97, 94, 23] from Operation: 92/4=23 Current State: 20:[97, 94, 23], Operations: ['92/4=23'] Exploring Operation: 97-94=3, Resulting Numbers: [23, 3] Generated Node #3: [23, 3] from Operation: 97-94=3 Current State: 20:[23, 3], Operations: ['92/4=23', '97-94=3'] Exploring Operation: 23-3=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 89, 84, 87, 49 ]
70
[ "89-87=2", "84-49=35", "2*35=70" ]
Current State: 70:[89, 84, 87, 49], Operations: [] Exploring Operation: 89-87=2, Resulting Numbers: [84, 49, 2] Generated Node #2: [84, 49, 2] from Operation: 89-87=2 Current State: 70:[84, 49, 2], Operations: ['89-87=2'] Exploring Operation: 84-49=35, Resulting Numbers: [2, 35] Generated Node #3: [2, 35] from Operation: 84-49=35 Current State: 70:[2, 35], Operations: ['89-87=2', '84-49=35'] Exploring Operation: 2*35=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 41, 70, 3, 93 ]
80
[ "41+70=111", "93/3=31", "111-31=80" ]
Current State: 80:[41, 70, 3, 93], Operations: [] Exploring Operation: 41+70=111, Resulting Numbers: [3, 93, 111] Generated Node #2: [3, 93, 111] from Operation: 41+70=111 Current State: 80:[3, 93, 111], Operations: ['41+70=111'] Exploring Operation: 93/3=31, Resulting Numbers: [111, 31] Generated Node #3: [111, 31] from Operation: 93/3=31 Current State: 80:[111, 31], Operations: ['41+70=111', '93/3=31'] Exploring Operation: 111-31=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 43, 67, 21, 26 ]
85
[ "67*26=1742", "43+1742=1785", "1785/21=85" ]
Current State: 85:[43, 67, 21, 26], Operations: [] Exploring Operation: 67*26=1742, Resulting Numbers: [43, 21, 1742] Generated Node #2: [43, 21, 1742] from Operation: 67*26=1742 Current State: 85:[43, 21, 1742], Operations: ['67*26=1742'] Exploring Operation: 43+1742=1785, Resulting Numbers: [21, 1785] Generated Node #3: [21, 1785] from Operation: 43+1742=1785 Current State: 85:[21, 1785], Operations: ['67*26=1742', '43+1742=1785'] Exploring Operation: 1785/21=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 96, 11, 12, 15 ]
48
[ "15-11=4", "12*4=48", "96-48=48" ]
Current State: 48:[96, 11, 12, 15], Operations: [] Exploring Operation: 15-11=4, Resulting Numbers: [96, 12, 4] Generated Node #2: [96, 12, 4] from Operation: 15-11=4 Current State: 48:[96, 12, 4], Operations: ['15-11=4'] Exploring Operation: 12*4=48, Resulting Numbers: [96, 48] Generated Node #3: [96, 48] from Operation: 12*4=48 Current State: 48:[96, 48], Operations: ['15-11=4', '12*4=48'] Exploring Operation: 96-48=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 39, 83, 21, 84 ]
73
[ "39*84=3276", "3276/21=156", "156-83=73" ]
Current State: 73:[39, 83, 21, 84], Operations: [] Exploring Operation: 39*84=3276, Resulting Numbers: [83, 21, 3276] Generated Node #2: [83, 21, 3276] from Operation: 39*84=3276 Current State: 73:[83, 21, 3276], Operations: ['39*84=3276'] Exploring Operation: 3276/21=156, Resulting Numbers: [83, 156] Generated Node #3: [83, 156] from Operation: 3276/21=156 Current State: 73:[83, 156], Operations: ['39*84=3276', '3276/21=156'] Exploring Operation: 156-83=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 43, 53, 17, 10 ]
16
[ "53-43=10", "10/10=1", "17-1=16" ]
Current State: 16:[43, 53, 17, 10], Operations: [] Exploring Operation: 53-43=10, Resulting Numbers: [17, 10, 10] Generated Node #2: [17, 10, 10] from Operation: 53-43=10 Current State: 16:[17, 10, 10], Operations: ['53-43=10'] Exploring Operation: 10/10=1, Resulting Numbers: [17, 1] Generated Node #3: [17, 1] from Operation: 10/10=1 Current State: 16:[17, 1], Operations: ['53-43=10', '10/10=1'] Exploring Operation: 17-1=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 50, 51, 11, 78 ]
53
[ "50-11=39", "78/39=2", "51+2=53" ]
Current State: 53:[50, 51, 11, 78], Operations: [] Exploring Operation: 50-11=39, Resulting Numbers: [51, 78, 39] Generated Node #2: [51, 78, 39] from Operation: 50-11=39 Current State: 53:[51, 78, 39], Operations: ['50-11=39'] Exploring Operation: 78/39=2, Resulting Numbers: [51, 2] Generated Node #3: [51, 2] from Operation: 78/39=2 Current State: 53:[51, 2], Operations: ['50-11=39', '78/39=2'] Exploring Operation: 51+2=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 58, 29, 70, 35 ]
27
[ "58-29=29", "70/35=2", "29-2=27" ]
Current State: 27:[58, 29, 70, 35], Operations: [] Exploring Operation: 58-29=29, Resulting Numbers: [70, 35, 29] Generated Node #2: [70, 35, 29] from Operation: 58-29=29 Current State: 27:[70, 35, 29], Operations: ['58-29=29'] Exploring Operation: 70/35=2, Resulting Numbers: [29, 2] Generated Node #3: [29, 2] from Operation: 70/35=2 Current State: 27:[29, 2], Operations: ['58-29=29', '70/35=2'] Exploring Operation: 29-2=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 66, 99, 14, 90 ]
46
[ "66*90=5940", "5940/99=60", "60-14=46" ]
Current State: 46:[66, 99, 14, 90], Operations: [] Exploring Operation: 66*90=5940, Resulting Numbers: [99, 14, 5940] Generated Node #2: [99, 14, 5940] from Operation: 66*90=5940 Current State: 46:[99, 14, 5940], Operations: ['66*90=5940'] Exploring Operation: 5940/99=60, Resulting Numbers: [14, 60] Generated Node #3: [14, 60] from Operation: 5940/99=60 Current State: 46:[14, 60], Operations: ['66*90=5940', '5940/99=60'] Exploring Operation: 60-14=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 24, 3, 37, 4 ]
62
[ "24-3=21", "37+4=41", "21+41=62" ]
Current State: 62:[24, 3, 37, 4], Operations: [] Exploring Operation: 24-3=21, Resulting Numbers: [37, 4, 21] Generated Node #2: [37, 4, 21] from Operation: 24-3=21 Current State: 62:[37, 4, 21], Operations: ['24-3=21'] Exploring Operation: 37+4=41, Resulting Numbers: [21, 41] Generated Node #3: [21, 41] from Operation: 37+4=41 Current State: 62:[21, 41], Operations: ['24-3=21', '37+4=41'] Exploring Operation: 21+41=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 46, 47, 95, 26 ]
78
[ "46+95=141", "141/47=3", "26*3=78" ]
Current State: 78:[46, 47, 95, 26], Operations: [] Exploring Operation: 46+95=141, Resulting Numbers: [47, 26, 141] Generated Node #2: [47, 26, 141] from Operation: 46+95=141 Current State: 78:[47, 26, 141], Operations: ['46+95=141'] Exploring Operation: 141/47=3, Resulting Numbers: [26, 3] Generated Node #3: [26, 3] from Operation: 141/47=3 Current State: 78:[26, 3], Operations: ['46+95=141', '141/47=3'] Exploring Operation: 26*3=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 77, 6, 11, 24 ]
28
[ "77/11=7", "24/6=4", "7*4=28" ]
Current State: 28:[77, 6, 11, 24], Operations: [] Exploring Operation: 77/11=7, Resulting Numbers: [6, 24, 7] Generated Node #2: [6, 24, 7] from Operation: 77/11=7 Current State: 28:[6, 24, 7], Operations: ['77/11=7'] Exploring Operation: 24/6=4, Resulting Numbers: [7, 4] Generated Node #3: [7, 4] from Operation: 24/6=4 Current State: 28:[7, 4], Operations: ['77/11=7', '24/6=4'] Exploring Operation: 7*4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 32, 2, 6, 62 ]
49
[ "32-6=26", "26/2=13", "62-13=49" ]
Current State: 49:[32, 2, 6, 62], Operations: [] Exploring Operation: 32-6=26, Resulting Numbers: [2, 62, 26] Generated Node #2: [2, 62, 26] from Operation: 32-6=26 Current State: 49:[2, 62, 26], Operations: ['32-6=26'] Exploring Operation: 26/2=13, Resulting Numbers: [62, 13] Generated Node #3: [62, 13] from Operation: 26/2=13 Current State: 49:[62, 13], Operations: ['32-6=26', '26/2=13'] Exploring Operation: 62-13=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 65, 6, 98, 84 ]
85
[ "65+6=71", "98-84=14", "71+14=85" ]
Current State: 85:[65, 6, 98, 84], Operations: [] Exploring Operation: 65+6=71, Resulting Numbers: [98, 84, 71] Generated Node #2: [98, 84, 71] from Operation: 65+6=71 Current State: 85:[98, 84, 71], Operations: ['65+6=71'] Exploring Operation: 98-84=14, Resulting Numbers: [71, 14] Generated Node #3: [71, 14] from Operation: 98-84=14 Current State: 85:[71, 14], Operations: ['65+6=71', '98-84=14'] Exploring Operation: 71+14=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 64, 47, 61, 86 ]
13
[ "64-61=3", "86-47=39", "39/3=13" ]
Current State: 13:[64, 47, 61, 86], Operations: [] Exploring Operation: 64-61=3, Resulting Numbers: [47, 86, 3] Generated Node #2: [47, 86, 3] from Operation: 64-61=3 Current State: 13:[47, 86, 3], Operations: ['64-61=3'] Exploring Operation: 86-47=39, Resulting Numbers: [3, 39] Generated Node #3: [3, 39] from Operation: 86-47=39 Current State: 13:[3, 39], Operations: ['64-61=3', '86-47=39'] Exploring Operation: 39/3=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 2, 54, 52, 67 ]
39
[ "52/2=26", "67-54=13", "26+13=39" ]
Current State: 39:[2, 54, 52, 67], Operations: [] Exploring Operation: 52/2=26, Resulting Numbers: [54, 67, 26] Generated Node #2: [54, 67, 26] from Operation: 52/2=26 Current State: 39:[54, 67, 26], Operations: ['52/2=26'] Exploring Operation: 67-54=13, Resulting Numbers: [26, 13] Generated Node #3: [26, 13] from Operation: 67-54=13 Current State: 39:[26, 13], Operations: ['52/2=26', '67-54=13'] Exploring Operation: 26+13=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 28, 93, 89, 68 ]
10
[ "68-28=40", "93-89=4", "40/4=10" ]
Current State: 10:[28, 93, 89, 68], Operations: [] Exploring Operation: 68-28=40, Resulting Numbers: [93, 89, 40] Generated Node #2: [93, 89, 40] from Operation: 68-28=40 Current State: 10:[93, 89, 40], Operations: ['68-28=40'] Exploring Operation: 93-89=4, Resulting Numbers: [40, 4] Generated Node #3: [40, 4] from Operation: 93-89=4 Current State: 10:[40, 4], Operations: ['68-28=40', '93-89=4'] Exploring Operation: 40/4=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 25, 94, 16, 18 ]
47
[ "25-16=9", "94*9=846", "846/18=47" ]
Current State: 47:[25, 94, 16, 18], Operations: [] Exploring Operation: 25-16=9, Resulting Numbers: [94, 18, 9] Generated Node #2: [94, 18, 9] from Operation: 25-16=9 Current State: 47:[94, 18, 9], Operations: ['25-16=9'] Exploring Operation: 94*9=846, Resulting Numbers: [18, 846] Generated Node #3: [18, 846] from Operation: 94*9=846 Current State: 47:[18, 846], Operations: ['25-16=9', '94*9=846'] Exploring Operation: 846/18=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 91, 77, 99, 35 ]
72
[ "91-35=56", "99*56=5544", "5544/77=72" ]
Current State: 72:[91, 77, 99, 35], Operations: [] Exploring Operation: 91-35=56, Resulting Numbers: [77, 99, 56] Generated Node #2: [77, 99, 56] from Operation: 91-35=56 Current State: 72:[77, 99, 56], Operations: ['91-35=56'] Exploring Operation: 99*56=5544, Resulting Numbers: [77, 5544] Generated Node #3: [77, 5544] from Operation: 99*56=5544 Current State: 72:[77, 5544], Operations: ['91-35=56', '99*56=5544'] Exploring Operation: 5544/77=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 14, 84, 93, 3 ]
96
[ "84/14=6", "93-3=90", "6+90=96" ]
Current State: 96:[14, 84, 93, 3], Operations: [] Exploring Operation: 84/14=6, Resulting Numbers: [93, 3, 6] Generated Node #2: [93, 3, 6] from Operation: 84/14=6 Current State: 96:[93, 3, 6], Operations: ['84/14=6'] Exploring Operation: 93-3=90, Resulting Numbers: [6, 90] Generated Node #3: [6, 90] from Operation: 93-3=90 Current State: 96:[6, 90], Operations: ['84/14=6', '93-3=90'] Exploring Operation: 6+90=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 21, 93, 3, 23 ]
63
[ "21/3=7", "93-23=70", "70-7=63" ]
Current State: 63:[21, 93, 3, 23], Operations: [] Exploring Operation: 21/3=7, Resulting Numbers: [93, 23, 7] Generated Node #2: [93, 23, 7] from Operation: 21/3=7 Current State: 63:[93, 23, 7], Operations: ['21/3=7'] Exploring Operation: 93-23=70, Resulting Numbers: [7, 70] Generated Node #3: [7, 70] from Operation: 93-23=70 Current State: 63:[7, 70], Operations: ['21/3=7', '93-23=70'] Exploring Operation: 70-7=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 2, 76, 32, 84 ]
36
[ "2*76=152", "32+84=116", "152-116=36" ]
Current State: 36:[2, 76, 32, 84], Operations: [] Exploring Operation: 2*76=152, Resulting Numbers: [32, 84, 152] Generated Node #2: [32, 84, 152] from Operation: 2*76=152 Current State: 36:[32, 84, 152], Operations: ['2*76=152'] Exploring Operation: 32+84=116, Resulting Numbers: [152, 116] Generated Node #3: [152, 116] from Operation: 32+84=116 Current State: 36:[152, 116], Operations: ['2*76=152', '32+84=116'] Exploring Operation: 152-116=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 14, 74, 32, 76 ]
79
[ "74-32=42", "42/14=3", "76+3=79" ]
Current State: 79:[14, 74, 32, 76], Operations: [] Exploring Operation: 74-32=42, Resulting Numbers: [14, 76, 42] Generated Node #2: [14, 76, 42] from Operation: 74-32=42 Current State: 79:[14, 76, 42], Operations: ['74-32=42'] Exploring Operation: 42/14=3, Resulting Numbers: [76, 3] Generated Node #3: [76, 3] from Operation: 42/14=3 Current State: 79:[76, 3], Operations: ['74-32=42', '42/14=3'] Exploring Operation: 76+3=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 98, 13, 39, 55 ]
11
[ "13*39=507", "98+507=605", "605/55=11" ]
Current State: 11:[98, 13, 39, 55], Operations: [] Exploring Operation: 13*39=507, Resulting Numbers: [98, 55, 507] Generated Node #2: [98, 55, 507] from Operation: 13*39=507 Current State: 11:[98, 55, 507], Operations: ['13*39=507'] Exploring Operation: 98+507=605, Resulting Numbers: [55, 605] Generated Node #3: [55, 605] from Operation: 98+507=605 Current State: 11:[55, 605], Operations: ['13*39=507', '98+507=605'] Exploring Operation: 605/55=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 39, 31, 4, 62 ]
61
[ "62-39=23", "4*23=92", "92-31=61" ]
Current State: 61:[39, 31, 4, 62], Operations: [] Exploring Operation: 62-39=23, Resulting Numbers: [31, 4, 23] Generated Node #2: [31, 4, 23] from Operation: 62-39=23 Current State: 61:[31, 4, 23], Operations: ['62-39=23'] Exploring Operation: 4*23=92, Resulting Numbers: [31, 92] Generated Node #3: [31, 92] from Operation: 4*23=92 Current State: 61:[31, 92], Operations: ['62-39=23', '4*23=92'] Exploring Operation: 92-31=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 37, 30, 42, 45 ]
65
[ "30*42=1260", "1260/45=28", "37+28=65" ]
Current State: 65:[37, 30, 42, 45], Operations: [] Exploring Operation: 30*42=1260, Resulting Numbers: [37, 45, 1260] Generated Node #2: [37, 45, 1260] from Operation: 30*42=1260 Current State: 65:[37, 45, 1260], Operations: ['30*42=1260'] Exploring Operation: 1260/45=28, Resulting Numbers: [37, 28] Generated Node #3: [37, 28] from Operation: 1260/45=28 Current State: 65:[37, 28], Operations: ['30*42=1260', '1260/45=28'] Exploring Operation: 37+28=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 91, 27, 4, 30 ]
22
[ "91+27=118", "118-30=88", "88/4=22" ]
Current State: 22:[91, 27, 4, 30], Operations: [] Exploring Operation: 91+27=118, Resulting Numbers: [4, 30, 118] Generated Node #2: [4, 30, 118] from Operation: 91+27=118 Current State: 22:[4, 30, 118], Operations: ['91+27=118'] Exploring Operation: 118-30=88, Resulting Numbers: [4, 88] Generated Node #3: [4, 88] from Operation: 118-30=88 Current State: 22:[4, 88], Operations: ['91+27=118', '118-30=88'] Exploring Operation: 88/4=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 31, 95, 5, 96 ]
84
[ "96-31=65", "95/5=19", "65+19=84" ]
Current State: 84:[31, 95, 5, 96], Operations: [] Exploring Operation: 96-31=65, Resulting Numbers: [95, 5, 65] Generated Node #2: [95, 5, 65] from Operation: 96-31=65 Current State: 84:[95, 5, 65], Operations: ['96-31=65'] Exploring Operation: 95/5=19, Resulting Numbers: [65, 19] Generated Node #3: [65, 19] from Operation: 95/5=19 Current State: 84:[65, 19], Operations: ['96-31=65', '95/5=19'] Exploring Operation: 65+19=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 10, 63, 68, 56 ]
65
[ "63-10=53", "68-56=12", "53+12=65" ]
Current State: 65:[10, 63, 68, 56], Operations: [] Exploring Operation: 63-10=53, Resulting Numbers: [68, 56, 53] Generated Node #2: [68, 56, 53] from Operation: 63-10=53 Current State: 65:[68, 56, 53], Operations: ['63-10=53'] Exploring Operation: 68-56=12, Resulting Numbers: [53, 12] Generated Node #3: [53, 12] from Operation: 68-56=12 Current State: 65:[53, 12], Operations: ['63-10=53', '68-56=12'] Exploring Operation: 53+12=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 45, 53, 11, 13 ]
32
[ "53-45=8", "11+13=24", "8+24=32" ]
Current State: 32:[45, 53, 11, 13], Operations: [] Exploring Operation: 53-45=8, Resulting Numbers: [11, 13, 8] Generated Node #2: [11, 13, 8] from Operation: 53-45=8 Current State: 32:[11, 13, 8], Operations: ['53-45=8'] Exploring Operation: 11+13=24, Resulting Numbers: [8, 24] Generated Node #3: [8, 24] from Operation: 11+13=24 Current State: 32:[8, 24], Operations: ['53-45=8', '11+13=24'] Exploring Operation: 8+24=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 15, 46, 3, 10 ]
38
[ "46-15=31", "10-3=7", "31+7=38" ]
Current State: 38:[15, 46, 3, 10], Operations: [] Exploring Operation: 46-15=31, Resulting Numbers: [3, 10, 31] Generated Node #2: [3, 10, 31] from Operation: 46-15=31 Current State: 38:[3, 10, 31], Operations: ['46-15=31'] Exploring Operation: 10-3=7, Resulting Numbers: [31, 7] Generated Node #3: [31, 7] from Operation: 10-3=7 Current State: 38:[31, 7], Operations: ['46-15=31', '10-3=7'] Exploring Operation: 31+7=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 54, 49, 56, 37 ]
61
[ "56-54=2", "49*2=98", "98-37=61" ]
Current State: 61:[54, 49, 56, 37], Operations: [] Exploring Operation: 56-54=2, Resulting Numbers: [49, 37, 2] Generated Node #2: [49, 37, 2] from Operation: 56-54=2 Current State: 61:[49, 37, 2], Operations: ['56-54=2'] Exploring Operation: 49*2=98, Resulting Numbers: [37, 98] Generated Node #3: [37, 98] from Operation: 49*2=98 Current State: 61:[37, 98], Operations: ['56-54=2', '49*2=98'] Exploring Operation: 98-37=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 42, 97, 77, 55 ]
76
[ "97-42=55", "55/55=1", "77-1=76" ]
Current State: 76:[42, 97, 77, 55], Operations: [] Exploring Operation: 97-42=55, Resulting Numbers: [77, 55, 55] Generated Node #2: [77, 55, 55] from Operation: 97-42=55 Current State: 76:[77, 55, 55], Operations: ['97-42=55'] Exploring Operation: 55/55=1, Resulting Numbers: [77, 1] Generated Node #3: [77, 1] from Operation: 55/55=1 Current State: 76:[77, 1], Operations: ['97-42=55', '55/55=1'] Exploring Operation: 77-1=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 95, 11, 2, 19 ]
57
[ "95*11=1045", "1045/19=55", "2+55=57" ]
Current State: 57:[95, 11, 2, 19], Operations: [] Exploring Operation: 95*11=1045, Resulting Numbers: [2, 19, 1045] Generated Node #2: [2, 19, 1045] from Operation: 95*11=1045 Current State: 57:[2, 19, 1045], Operations: ['95*11=1045'] Exploring Operation: 1045/19=55, Resulting Numbers: [2, 55] Generated Node #3: [2, 55] from Operation: 1045/19=55 Current State: 57:[2, 55], Operations: ['95*11=1045', '1045/19=55'] Exploring Operation: 2+55=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 51, 7, 95, 28 ]
65
[ "51+7=58", "95+28=123", "123-58=65" ]
Current State: 65:[51, 7, 95, 28], Operations: [] Exploring Operation: 51+7=58, Resulting Numbers: [95, 28, 58] Generated Node #2: [95, 28, 58] from Operation: 51+7=58 Current State: 65:[95, 28, 58], Operations: ['51+7=58'] Exploring Operation: 95+28=123, Resulting Numbers: [58, 123] Generated Node #3: [58, 123] from Operation: 95+28=123 Current State: 65:[58, 123], Operations: ['51+7=58', '95+28=123'] Exploring Operation: 123-58=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 74, 64, 82, 11 ]
67
[ "74+64=138", "82-11=71", "138-71=67" ]
Current State: 67:[74, 64, 82, 11], Operations: [] Exploring Operation: 74+64=138, Resulting Numbers: [82, 11, 138] Generated Node #2: [82, 11, 138] from Operation: 74+64=138 Current State: 67:[82, 11, 138], Operations: ['74+64=138'] Exploring Operation: 82-11=71, Resulting Numbers: [138, 71] Generated Node #3: [138, 71] from Operation: 82-11=71 Current State: 67:[138, 71], Operations: ['74+64=138', '82-11=71'] Exploring Operation: 138-71=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 71, 8, 98, 23 ]
12
[ "71-8=63", "98-23=75", "75-63=12" ]
Current State: 12:[71, 8, 98, 23], Operations: [] Exploring Operation: 71-8=63, Resulting Numbers: [98, 23, 63] Generated Node #2: [98, 23, 63] from Operation: 71-8=63 Current State: 12:[98, 23, 63], Operations: ['71-8=63'] Exploring Operation: 98-23=75, Resulting Numbers: [63, 75] Generated Node #3: [63, 75] from Operation: 98-23=75 Current State: 12:[63, 75], Operations: ['71-8=63', '98-23=75'] Exploring Operation: 75-63=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 90, 64, 25, 8 ]
59
[ "90-64=26", "25+8=33", "26+33=59" ]
Current State: 59:[90, 64, 25, 8], Operations: [] Exploring Operation: 90-64=26, Resulting Numbers: [25, 8, 26] Generated Node #2: [25, 8, 26] from Operation: 90-64=26 Current State: 59:[25, 8, 26], Operations: ['90-64=26'] Exploring Operation: 25+8=33, Resulting Numbers: [26, 33] Generated Node #3: [26, 33] from Operation: 25+8=33 Current State: 59:[26, 33], Operations: ['90-64=26', '25+8=33'] Exploring Operation: 26+33=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 87, 39, 6, 54 ]
78
[ "87+39=126", "54-6=48", "126-48=78" ]
Current State: 78:[87, 39, 6, 54], Operations: [] Exploring Operation: 87+39=126, Resulting Numbers: [6, 54, 126] Generated Node #2: [6, 54, 126] from Operation: 87+39=126 Current State: 78:[6, 54, 126], Operations: ['87+39=126'] Exploring Operation: 54-6=48, Resulting Numbers: [126, 48] Generated Node #3: [126, 48] from Operation: 54-6=48 Current State: 78:[126, 48], Operations: ['87+39=126', '54-6=48'] Exploring Operation: 126-48=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 32, 70, 5, 93 ]
50
[ "70-32=38", "93-5=88", "88-38=50" ]
Current State: 50:[32, 70, 5, 93], Operations: [] Exploring Operation: 70-32=38, Resulting Numbers: [5, 93, 38] Generated Node #2: [5, 93, 38] from Operation: 70-32=38 Current State: 50:[5, 93, 38], Operations: ['70-32=38'] Exploring Operation: 93-5=88, Resulting Numbers: [38, 88] Generated Node #3: [38, 88] from Operation: 93-5=88 Current State: 50:[38, 88], Operations: ['70-32=38', '93-5=88'] Exploring Operation: 88-38=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 85, 52, 80, 93 ]
20
[ "85-52=33", "93-80=13", "33-13=20" ]
Current State: 20:[85, 52, 80, 93], Operations: [] Exploring Operation: 85-52=33, Resulting Numbers: [80, 93, 33] Generated Node #2: [80, 93, 33] from Operation: 85-52=33 Current State: 20:[80, 93, 33], Operations: ['85-52=33'] Exploring Operation: 93-80=13, Resulting Numbers: [33, 13] Generated Node #3: [33, 13] from Operation: 93-80=13 Current State: 20:[33, 13], Operations: ['85-52=33', '93-80=13'] Exploring Operation: 33-13=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 4, 40, 20, 22 ]
22
[ "4+40=44", "22-20=2", "44/2=22" ]
Current State: 22:[4, 40, 20, 22], Operations: [] Exploring Operation: 4+40=44, Resulting Numbers: [20, 22, 44] Generated Node #2: [20, 22, 44] from Operation: 4+40=44 Current State: 22:[20, 22, 44], Operations: ['4+40=44'] Exploring Operation: 22-20=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 22-20=2 Current State: 22:[44, 2], Operations: ['4+40=44', '22-20=2'] Exploring Operation: 44/2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4