Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 95, 64, 22, 93 ]
40
[ "95-64=31", "93-22=71", "71-31=40" ]
Current State: 40:[95, 64, 22, 93], Operations: [] Exploring Operation: 95-64=31, Resulting Numbers: [22, 93, 31] Generated Node #2: [22, 93, 31] from Operation: 95-64=31 Current State: 40:[22, 93, 31], Operations: ['95-64=31'] Exploring Operation: 93-22=71, Resulting Numbers: [31, 71] Generated Node #3: [31, 71] from Operation: 93-22=71 Current State: 40:[31, 71], Operations: ['95-64=31', '93-22=71'] Exploring Operation: 71-31=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 5, 52, 56, 49 ]
40
[ "52-5=47", "56-49=7", "47-7=40" ]
Current State: 40:[5, 52, 56, 49], Operations: [] Exploring Operation: 52-5=47, Resulting Numbers: [56, 49, 47] Generated Node #2: [56, 49, 47] from Operation: 52-5=47 Current State: 40:[56, 49, 47], Operations: ['52-5=47'] Exploring Operation: 56-49=7, Resulting Numbers: [47, 7] Generated Node #3: [47, 7] from Operation: 56-49=7 Current State: 40:[47, 7], Operations: ['52-5=47', '56-49=7'] Exploring Operation: 47-7=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 78, 65, 12, 54 ]
63
[ "78-54=24", "24/12=2", "65-2=63" ]
Current State: 63:[78, 65, 12, 54], Operations: [] Exploring Operation: 78-54=24, Resulting Numbers: [65, 12, 24] Generated Node #2: [65, 12, 24] from Operation: 78-54=24 Current State: 63:[65, 12, 24], Operations: ['78-54=24'] Exploring Operation: 24/12=2, Resulting Numbers: [65, 2] Generated Node #3: [65, 2] from Operation: 24/12=2 Current State: 63:[65, 2], Operations: ['78-54=24', '24/12=2'] Exploring Operation: 65-2=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 82, 59, 31, 71 ]
79
[ "82-59=23", "31+71=102", "102-23=79" ]
Current State: 79:[82, 59, 31, 71], Operations: [] Exploring Operation: 82-59=23, Resulting Numbers: [31, 71, 23] Generated Node #2: [31, 71, 23] from Operation: 82-59=23 Current State: 79:[31, 71, 23], Operations: ['82-59=23'] Exploring Operation: 31+71=102, Resulting Numbers: [23, 102] Generated Node #3: [23, 102] from Operation: 31+71=102 Current State: 79:[23, 102], Operations: ['82-59=23', '31+71=102'] Exploring Operation: 102-23=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 30, 35, 7, 18 ]
60
[ "30-18=12", "35/7=5", "12*5=60" ]
Current State: 60:[30, 35, 7, 18], Operations: [] Exploring Operation: 30-18=12, Resulting Numbers: [35, 7, 12] Generated Node #2: [35, 7, 12] from Operation: 30-18=12 Current State: 60:[35, 7, 12], Operations: ['30-18=12'] Exploring Operation: 35/7=5, Resulting Numbers: [12, 5] Generated Node #3: [12, 5] from Operation: 35/7=5 Current State: 60:[12, 5], Operations: ['30-18=12', '35/7=5'] Exploring Operation: 12*5=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 91, 70, 33, 23 ]
26
[ "91+70=161", "161/23=7", "33-7=26" ]
Current State: 26:[91, 70, 33, 23], Operations: [] Exploring Operation: 91+70=161, Resulting Numbers: [33, 23, 161] Generated Node #2: [33, 23, 161] from Operation: 91+70=161 Current State: 26:[33, 23, 161], Operations: ['91+70=161'] Exploring Operation: 161/23=7, Resulting Numbers: [33, 7] Generated Node #3: [33, 7] from Operation: 161/23=7 Current State: 26:[33, 7], Operations: ['91+70=161', '161/23=7'] Exploring Operation: 33-7=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 17, 99, 1, 25 ]
92
[ "17+99=116", "25-1=24", "116-24=92" ]
Current State: 92:[17, 99, 1, 25], Operations: [] Exploring Operation: 17+99=116, Resulting Numbers: [1, 25, 116] Generated Node #2: [1, 25, 116] from Operation: 17+99=116 Current State: 92:[1, 25, 116], Operations: ['17+99=116'] Exploring Operation: 25-1=24, Resulting Numbers: [116, 24] Generated Node #3: [116, 24] from Operation: 25-1=24 Current State: 92:[116, 24], Operations: ['17+99=116', '25-1=24'] Exploring Operation: 116-24=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 52, 56, 73, 44 ]
84
[ "56-52=4", "44/4=11", "73+11=84" ]
Current State: 84:[52, 56, 73, 44], Operations: [] Exploring Operation: 56-52=4, Resulting Numbers: [73, 44, 4] Generated Node #2: [73, 44, 4] from Operation: 56-52=4 Current State: 84:[73, 44, 4], Operations: ['56-52=4'] Exploring Operation: 44/4=11, Resulting Numbers: [73, 11] Generated Node #3: [73, 11] from Operation: 44/4=11 Current State: 84:[73, 11], Operations: ['56-52=4', '44/4=11'] Exploring Operation: 73+11=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 12, 60, 38, 58 ]
92
[ "12+60=72", "58-38=20", "72+20=92" ]
Current State: 92:[12, 60, 38, 58], Operations: [] Exploring Operation: 12+60=72, Resulting Numbers: [38, 58, 72] Generated Node #2: [38, 58, 72] from Operation: 12+60=72 Current State: 92:[38, 58, 72], Operations: ['12+60=72'] Exploring Operation: 58-38=20, Resulting Numbers: [72, 20] Generated Node #3: [72, 20] from Operation: 58-38=20 Current State: 92:[72, 20], Operations: ['12+60=72', '58-38=20'] Exploring Operation: 72+20=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 54, 34, 85, 69 ]
23
[ "54+34=88", "88-85=3", "69/3=23" ]
Current State: 23:[54, 34, 85, 69], Operations: [] Exploring Operation: 54+34=88, Resulting Numbers: [85, 69, 88] Generated Node #2: [85, 69, 88] from Operation: 54+34=88 Current State: 23:[85, 69, 88], Operations: ['54+34=88'] Exploring Operation: 88-85=3, Resulting Numbers: [69, 3] Generated Node #3: [69, 3] from Operation: 88-85=3 Current State: 23:[69, 3], Operations: ['54+34=88', '88-85=3'] Exploring Operation: 69/3=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 33, 96, 78, 6 ]
50
[ "96-33=63", "78/6=13", "63-13=50" ]
Current State: 50:[33, 96, 78, 6], Operations: [] Exploring Operation: 96-33=63, Resulting Numbers: [78, 6, 63] Generated Node #2: [78, 6, 63] from Operation: 96-33=63 Current State: 50:[78, 6, 63], Operations: ['96-33=63'] Exploring Operation: 78/6=13, Resulting Numbers: [63, 13] Generated Node #3: [63, 13] from Operation: 78/6=13 Current State: 50:[63, 13], Operations: ['96-33=63', '78/6=13'] Exploring Operation: 63-13=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 58, 8, 66, 61 ]
61
[ "58+8=66", "66+61=127", "127-66=61" ]
Current State: 61:[58, 8, 66, 61], Operations: [] Exploring Operation: 58+8=66, Resulting Numbers: [66, 61, 66] Generated Node #2: [66, 61, 66] from Operation: 58+8=66 Current State: 61:[66, 61, 66], Operations: ['58+8=66'] Exploring Operation: 66+61=127, Resulting Numbers: [127] 127,61 equal: Goal Reached Exploring Operation: 127-66=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 5, 19, 91, 70 ]
92
[ "19+91=110", "110/5=22", "70+22=92" ]
Current State: 92:[5, 19, 91, 70], Operations: [] Exploring Operation: 19+91=110, Resulting Numbers: [5, 70, 110] Generated Node #2: [5, 70, 110] from Operation: 19+91=110 Current State: 92:[5, 70, 110], Operations: ['19+91=110'] Exploring Operation: 110/5=22, Resulting Numbers: [70, 22] Generated Node #3: [70, 22] from Operation: 110/5=22 Current State: 92:[70, 22], Operations: ['19+91=110', '110/5=22'] Exploring Operation: 70+22=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 81, 15, 8, 36 ]
24
[ "81+15=96", "96/8=12", "36-12=24" ]
Current State: 24:[81, 15, 8, 36], Operations: [] Exploring Operation: 81+15=96, Resulting Numbers: [8, 36, 96] Generated Node #2: [8, 36, 96] from Operation: 81+15=96 Current State: 24:[8, 36, 96], Operations: ['81+15=96'] Exploring Operation: 96/8=12, Resulting Numbers: [36, 12] Generated Node #3: [36, 12] from Operation: 96/8=12 Current State: 24:[36, 12], Operations: ['81+15=96', '96/8=12'] Exploring Operation: 36-12=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 98, 57, 71, 36 ]
29
[ "71-57=14", "98/14=7", "36-7=29" ]
Current State: 29:[98, 57, 71, 36], Operations: [] Exploring Operation: 71-57=14, Resulting Numbers: [98, 36, 14] Generated Node #2: [98, 36, 14] from Operation: 71-57=14 Current State: 29:[98, 36, 14], Operations: ['71-57=14'] Exploring Operation: 98/14=7, Resulting Numbers: [36, 7] Generated Node #3: [36, 7] from Operation: 98/14=7 Current State: 29:[36, 7], Operations: ['71-57=14', '98/14=7'] Exploring Operation: 36-7=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 74, 91, 13, 77 ]
52
[ "77-74=3", "13*3=39", "91-39=52" ]
Current State: 52:[74, 91, 13, 77], Operations: [] Exploring Operation: 77-74=3, Resulting Numbers: [91, 13, 3] Generated Node #2: [91, 13, 3] from Operation: 77-74=3 Current State: 52:[91, 13, 3], Operations: ['77-74=3'] Exploring Operation: 13*3=39, Resulting Numbers: [91, 39] Generated Node #3: [91, 39] from Operation: 13*3=39 Current State: 52:[91, 39], Operations: ['77-74=3', '13*3=39'] Exploring Operation: 91-39=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 32, 97, 5, 20 ]
43
[ "32*5=160", "97+20=117", "160-117=43" ]
Current State: 43:[32, 97, 5, 20], Operations: [] Exploring Operation: 32*5=160, Resulting Numbers: [97, 20, 160] Generated Node #2: [97, 20, 160] from Operation: 32*5=160 Current State: 43:[97, 20, 160], Operations: ['32*5=160'] Exploring Operation: 97+20=117, Resulting Numbers: [160, 117] Generated Node #3: [160, 117] from Operation: 97+20=117 Current State: 43:[160, 117], Operations: ['32*5=160', '97+20=117'] Exploring Operation: 160-117=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 12, 29, 54, 63 ]
50
[ "12+29=41", "63-54=9", "41+9=50" ]
Current State: 50:[12, 29, 54, 63], Operations: [] Exploring Operation: 12+29=41, Resulting Numbers: [54, 63, 41] Generated Node #2: [54, 63, 41] from Operation: 12+29=41 Current State: 50:[54, 63, 41], Operations: ['12+29=41'] Exploring Operation: 63-54=9, Resulting Numbers: [41, 9] Generated Node #3: [41, 9] from Operation: 63-54=9 Current State: 50:[41, 9], Operations: ['12+29=41', '63-54=9'] Exploring Operation: 41+9=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 55, 75, 61, 30 ]
99
[ "55+75=130", "61-30=31", "130-31=99" ]
Current State: 99:[55, 75, 61, 30], Operations: [] Exploring Operation: 55+75=130, Resulting Numbers: [61, 30, 130] Generated Node #2: [61, 30, 130] from Operation: 55+75=130 Current State: 99:[61, 30, 130], Operations: ['55+75=130'] Exploring Operation: 61-30=31, Resulting Numbers: [130, 31] Generated Node #3: [130, 31] from Operation: 61-30=31 Current State: 99:[130, 31], Operations: ['55+75=130', '61-30=31'] Exploring Operation: 130-31=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 42, 5, 75, 90 ]
52
[ "42-5=37", "90-75=15", "37+15=52" ]
Current State: 52:[42, 5, 75, 90], Operations: [] Exploring Operation: 42-5=37, Resulting Numbers: [75, 90, 37] Generated Node #2: [75, 90, 37] from Operation: 42-5=37 Current State: 52:[75, 90, 37], Operations: ['42-5=37'] Exploring Operation: 90-75=15, Resulting Numbers: [37, 15] Generated Node #3: [37, 15] from Operation: 90-75=15 Current State: 52:[37, 15], Operations: ['42-5=37', '90-75=15'] Exploring Operation: 37+15=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 43, 43, 53, 81 ]
81
[ "43-43=0", "53*0=0", "81+0=81" ]
Current State: 81:[43, 43, 53, 81], Operations: [] Exploring Operation: 43-43=0, Resulting Numbers: [53, 81, 0] Generated Node #2: [53, 81, 0] from Operation: 43-43=0 Current State: 81:[53, 81, 0], Operations: ['43-43=0'] Exploring Operation: 53*0=0, Resulting Numbers: [81, 0] Generated Node #3: [81, 0] from Operation: 53*0=0 Current State: 81:[81, 0], Operations: ['43-43=0', '53*0=0'] Exploring Operation: 81+0=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 41, 78, 32, 78 ]
74
[ "41+32=73", "78/78=1", "73+1=74" ]
Current State: 74:[41, 78, 32, 78], Operations: [] Exploring Operation: 41+32=73, Resulting Numbers: [78, 78, 73] Generated Node #2: [78, 78, 73] from Operation: 41+32=73 Current State: 74:[78, 78, 73], Operations: ['41+32=73'] Exploring Operation: 78/78=1, Resulting Numbers: [73, 1] Generated Node #3: [73, 1] from Operation: 78/78=1 Current State: 74:[73, 1], Operations: ['41+32=73', '78/78=1'] Exploring Operation: 73+1=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 53, 73, 56, 54 ]
89
[ "56-53=3", "54*3=162", "162-73=89" ]
Current State: 89:[53, 73, 56, 54], Operations: [] Exploring Operation: 56-53=3, Resulting Numbers: [73, 54, 3] Generated Node #2: [73, 54, 3] from Operation: 56-53=3 Current State: 89:[73, 54, 3], Operations: ['56-53=3'] Exploring Operation: 54*3=162, Resulting Numbers: [73, 162] Generated Node #3: [73, 162] from Operation: 54*3=162 Current State: 89:[73, 162], Operations: ['56-53=3', '54*3=162'] Exploring Operation: 162-73=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 72, 26, 77, 6 ]
56
[ "77-72=5", "6*5=30", "26+30=56" ]
Current State: 56:[72, 26, 77, 6], Operations: [] Exploring Operation: 77-72=5, Resulting Numbers: [26, 6, 5] Generated Node #2: [26, 6, 5] from Operation: 77-72=5 Current State: 56:[26, 6, 5], Operations: ['77-72=5'] Exploring Operation: 6*5=30, Resulting Numbers: [26, 30] Generated Node #3: [26, 30] from Operation: 6*5=30 Current State: 56:[26, 30], Operations: ['77-72=5', '6*5=30'] Exploring Operation: 26+30=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 23, 71, 75, 99 ]
15
[ "23+71=94", "99-94=5", "75/5=15" ]
Current State: 15:[23, 71, 75, 99], Operations: [] Exploring Operation: 23+71=94, Resulting Numbers: [75, 99, 94] Generated Node #2: [75, 99, 94] from Operation: 23+71=94 Current State: 15:[75, 99, 94], Operations: ['23+71=94'] Exploring Operation: 99-94=5, Resulting Numbers: [75, 5] Generated Node #3: [75, 5] from Operation: 99-94=5 Current State: 15:[75, 5], Operations: ['23+71=94', '99-94=5'] Exploring Operation: 75/5=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 10, 55, 23, 87 ]
45
[ "10+55=65", "23+87=110", "110-65=45" ]
Current State: 45:[10, 55, 23, 87], Operations: [] Exploring Operation: 10+55=65, Resulting Numbers: [23, 87, 65] Generated Node #2: [23, 87, 65] from Operation: 10+55=65 Current State: 45:[23, 87, 65], Operations: ['10+55=65'] Exploring Operation: 23+87=110, Resulting Numbers: [65, 110] Generated Node #3: [65, 110] from Operation: 23+87=110 Current State: 45:[65, 110], Operations: ['10+55=65', '23+87=110'] Exploring Operation: 110-65=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 51, 41, 1, 72 ]
19
[ "51+41=92", "1+72=73", "92-73=19" ]
Current State: 19:[51, 41, 1, 72], Operations: [] Exploring Operation: 51+41=92, Resulting Numbers: [1, 72, 92] Generated Node #2: [1, 72, 92] from Operation: 51+41=92 Current State: 19:[1, 72, 92], Operations: ['51+41=92'] Exploring Operation: 1+72=73, Resulting Numbers: [92, 73] Generated Node #3: [92, 73] from Operation: 1+72=73 Current State: 19:[92, 73], Operations: ['51+41=92', '1+72=73'] Exploring Operation: 92-73=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 13, 71, 69, 87 ]
46
[ "71-13=58", "69*58=4002", "4002/87=46" ]
Current State: 46:[13, 71, 69, 87], Operations: [] Exploring Operation: 71-13=58, Resulting Numbers: [69, 87, 58] Generated Node #2: [69, 87, 58] from Operation: 71-13=58 Current State: 46:[69, 87, 58], Operations: ['71-13=58'] Exploring Operation: 69*58=4002, Resulting Numbers: [87, 4002] Generated Node #3: [87, 4002] from Operation: 69*58=4002 Current State: 46:[87, 4002], Operations: ['71-13=58', '69*58=4002'] Exploring Operation: 4002/87=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 89, 2, 50, 80 ]
24
[ "50+80=130", "130/2=65", "89-65=24" ]
Current State: 24:[89, 2, 50, 80], Operations: [] Exploring Operation: 50+80=130, Resulting Numbers: [89, 2, 130] Generated Node #2: [89, 2, 130] from Operation: 50+80=130 Current State: 24:[89, 2, 130], Operations: ['50+80=130'] Exploring Operation: 130/2=65, Resulting Numbers: [89, 65] Generated Node #3: [89, 65] from Operation: 130/2=65 Current State: 24:[89, 65], Operations: ['50+80=130', '130/2=65'] Exploring Operation: 89-65=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 13, 63, 27, 87 ]
16
[ "13+63=76", "87-27=60", "76-60=16" ]
Current State: 16:[13, 63, 27, 87], Operations: [] Exploring Operation: 13+63=76, Resulting Numbers: [27, 87, 76] Generated Node #2: [27, 87, 76] from Operation: 13+63=76 Current State: 16:[27, 87, 76], Operations: ['13+63=76'] Exploring Operation: 87-27=60, Resulting Numbers: [76, 60] Generated Node #3: [76, 60] from Operation: 87-27=60 Current State: 16:[76, 60], Operations: ['13+63=76', '87-27=60'] Exploring Operation: 76-60=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 36, 3, 55, 17 ]
12
[ "55-36=19", "17+19=36", "36/3=12" ]
Current State: 12:[36, 3, 55, 17], Operations: [] Exploring Operation: 55-36=19, Resulting Numbers: [3, 17, 19] Generated Node #2: [3, 17, 19] from Operation: 55-36=19 Current State: 12:[3, 17, 19], Operations: ['55-36=19'] Exploring Operation: 17+19=36, Resulting Numbers: [3, 36] Generated Node #3: [3, 36] from Operation: 17+19=36 Current State: 12:[3, 36], Operations: ['55-36=19', '17+19=36'] Exploring Operation: 36/3=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 61, 94, 54, 90 ]
69
[ "94-61=33", "90-54=36", "33+36=69" ]
Current State: 69:[61, 94, 54, 90], Operations: [] Exploring Operation: 94-61=33, Resulting Numbers: [54, 90, 33] Generated Node #2: [54, 90, 33] from Operation: 94-61=33 Current State: 69:[54, 90, 33], Operations: ['94-61=33'] Exploring Operation: 90-54=36, Resulting Numbers: [33, 36] Generated Node #3: [33, 36] from Operation: 90-54=36 Current State: 69:[33, 36], Operations: ['94-61=33', '90-54=36'] Exploring Operation: 33+36=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 2, 46, 4, 16 ]
26
[ "2+16=18", "4*18=72", "72-46=26" ]
Current State: 26:[2, 46, 4, 16], Operations: [] Exploring Operation: 2+16=18, Resulting Numbers: [46, 4, 18] Generated Node #2: [46, 4, 18] from Operation: 2+16=18 Current State: 26:[46, 4, 18], Operations: ['2+16=18'] Exploring Operation: 4*18=72, Resulting Numbers: [46, 72] Generated Node #3: [46, 72] from Operation: 4*18=72 Current State: 26:[46, 72], Operations: ['2+16=18', '4*18=72'] Exploring Operation: 72-46=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 14, 41, 34, 96 ]
39
[ "14+34=48", "96/48=2", "41-2=39" ]
Current State: 39:[14, 41, 34, 96], Operations: [] Exploring Operation: 14+34=48, Resulting Numbers: [41, 96, 48] Generated Node #2: [41, 96, 48] from Operation: 14+34=48 Current State: 39:[41, 96, 48], Operations: ['14+34=48'] Exploring Operation: 96/48=2, Resulting Numbers: [41, 2] Generated Node #3: [41, 2] from Operation: 96/48=2 Current State: 39:[41, 2], Operations: ['14+34=48', '96/48=2'] Exploring Operation: 41-2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 75, 23, 92, 21 ]
19
[ "75-23=52", "92-21=71", "71-52=19" ]
Current State: 19:[75, 23, 92, 21], Operations: [] Exploring Operation: 75-23=52, Resulting Numbers: [92, 21, 52] Generated Node #2: [92, 21, 52] from Operation: 75-23=52 Current State: 19:[92, 21, 52], Operations: ['75-23=52'] Exploring Operation: 92-21=71, Resulting Numbers: [52, 71] Generated Node #3: [52, 71] from Operation: 92-21=71 Current State: 19:[52, 71], Operations: ['75-23=52', '92-21=71'] Exploring Operation: 71-52=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 26, 18, 49, 68 ]
73
[ "26+18=44", "49+68=117", "117-44=73" ]
Current State: 73:[26, 18, 49, 68], Operations: [] Exploring Operation: 26+18=44, Resulting Numbers: [49, 68, 44] Generated Node #2: [49, 68, 44] from Operation: 26+18=44 Current State: 73:[49, 68, 44], Operations: ['26+18=44'] Exploring Operation: 49+68=117, Resulting Numbers: [44, 117] Generated Node #3: [44, 117] from Operation: 49+68=117 Current State: 73:[44, 117], Operations: ['26+18=44', '49+68=117'] Exploring Operation: 117-44=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 33, 1, 22, 63 ]
99
[ "33*63=2079", "22-1=21", "2079/21=99" ]
Current State: 99:[33, 1, 22, 63], Operations: [] Exploring Operation: 33*63=2079, Resulting Numbers: [1, 22, 2079] Generated Node #2: [1, 22, 2079] from Operation: 33*63=2079 Current State: 99:[1, 22, 2079], Operations: ['33*63=2079'] Exploring Operation: 22-1=21, Resulting Numbers: [2079, 21] Generated Node #3: [2079, 21] from Operation: 22-1=21 Current State: 99:[2079, 21], Operations: ['33*63=2079', '22-1=21'] Exploring Operation: 2079/21=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 35, 73, 37, 5 ]
77
[ "35+73=108", "37*5=185", "185-108=77" ]
Current State: 77:[35, 73, 37, 5], Operations: [] Exploring Operation: 35+73=108, Resulting Numbers: [37, 5, 108] Generated Node #2: [37, 5, 108] from Operation: 35+73=108 Current State: 77:[37, 5, 108], Operations: ['35+73=108'] Exploring Operation: 37*5=185, Resulting Numbers: [108, 185] Generated Node #3: [108, 185] from Operation: 37*5=185 Current State: 77:[108, 185], Operations: ['35+73=108', '37*5=185'] Exploring Operation: 185-108=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 67, 8, 60, 69 ]
26
[ "69-67=2", "60-8=52", "52/2=26" ]
Current State: 26:[67, 8, 60, 69], Operations: [] Exploring Operation: 69-67=2, Resulting Numbers: [8, 60, 2] Generated Node #2: [8, 60, 2] from Operation: 69-67=2 Current State: 26:[8, 60, 2], Operations: ['69-67=2'] Exploring Operation: 60-8=52, Resulting Numbers: [2, 52] Generated Node #3: [2, 52] from Operation: 60-8=52 Current State: 26:[2, 52], Operations: ['69-67=2', '60-8=52'] Exploring Operation: 52/2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 85, 90, 15, 13 ]
12
[ "85-13=72", "90/15=6", "72/6=12" ]
Current State: 12:[85, 90, 15, 13], Operations: [] Exploring Operation: 85-13=72, Resulting Numbers: [90, 15, 72] Generated Node #2: [90, 15, 72] from Operation: 85-13=72 Current State: 12:[90, 15, 72], Operations: ['85-13=72'] Exploring Operation: 90/15=6, Resulting Numbers: [72, 6] Generated Node #3: [72, 6] from Operation: 90/15=6 Current State: 12:[72, 6], Operations: ['85-13=72', '90/15=6'] Exploring Operation: 72/6=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 33, 88, 98, 58 ]
81
[ "33+88=121", "98-58=40", "121-40=81" ]
Current State: 81:[33, 88, 98, 58], Operations: [] Exploring Operation: 33+88=121, Resulting Numbers: [98, 58, 121] Generated Node #2: [98, 58, 121] from Operation: 33+88=121 Current State: 81:[98, 58, 121], Operations: ['33+88=121'] Exploring Operation: 98-58=40, Resulting Numbers: [121, 40] Generated Node #3: [121, 40] from Operation: 98-58=40 Current State: 81:[121, 40], Operations: ['33+88=121', '98-58=40'] Exploring Operation: 121-40=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 64, 40, 41, 56 ]
45
[ "56-40=16", "64/16=4", "41+4=45" ]
Current State: 45:[64, 40, 41, 56], Operations: [] Exploring Operation: 56-40=16, Resulting Numbers: [64, 41, 16] Generated Node #2: [64, 41, 16] from Operation: 56-40=16 Current State: 45:[64, 41, 16], Operations: ['56-40=16'] Exploring Operation: 64/16=4, Resulting Numbers: [41, 4] Generated Node #3: [41, 4] from Operation: 64/16=4 Current State: 45:[41, 4], Operations: ['56-40=16', '64/16=4'] Exploring Operation: 41+4=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 33, 81, 39, 2 ]
27
[ "39-33=6", "81*2=162", "162/6=27" ]
Current State: 27:[33, 81, 39, 2], Operations: [] Exploring Operation: 39-33=6, Resulting Numbers: [81, 2, 6] Generated Node #2: [81, 2, 6] from Operation: 39-33=6 Current State: 27:[81, 2, 6], Operations: ['39-33=6'] Exploring Operation: 81*2=162, Resulting Numbers: [6, 162] Generated Node #3: [6, 162] from Operation: 81*2=162 Current State: 27:[6, 162], Operations: ['39-33=6', '81*2=162'] Exploring Operation: 162/6=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 90, 40, 57, 51 ]
44
[ "90-40=50", "57-51=6", "50-6=44" ]
Current State: 44:[90, 40, 57, 51], Operations: [] Exploring Operation: 90-40=50, Resulting Numbers: [57, 51, 50] Generated Node #2: [57, 51, 50] from Operation: 90-40=50 Current State: 44:[57, 51, 50], Operations: ['90-40=50'] Exploring Operation: 57-51=6, Resulting Numbers: [50, 6] Generated Node #3: [50, 6] from Operation: 57-51=6 Current State: 44:[50, 6], Operations: ['90-40=50', '57-51=6'] Exploring Operation: 50-6=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 18, 93, 96, 30 ]
28
[ "96-93=3", "30/3=10", "18+10=28" ]
Current State: 28:[18, 93, 96, 30], Operations: [] Exploring Operation: 96-93=3, Resulting Numbers: [18, 30, 3] Generated Node #2: [18, 30, 3] from Operation: 96-93=3 Current State: 28:[18, 30, 3], Operations: ['96-93=3'] Exploring Operation: 30/3=10, Resulting Numbers: [18, 10] Generated Node #3: [18, 10] from Operation: 30/3=10 Current State: 28:[18, 10], Operations: ['96-93=3', '30/3=10'] Exploring Operation: 18+10=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 83, 94, 9, 2 ]
81
[ "94-83=11", "11-2=9", "9*9=81" ]
Current State: 81:[83, 94, 9, 2], Operations: [] Exploring Operation: 94-83=11, Resulting Numbers: [9, 2, 11] Generated Node #2: [9, 2, 11] from Operation: 94-83=11 Current State: 81:[9, 2, 11], Operations: ['94-83=11'] Exploring Operation: 11-2=9, Resulting Numbers: [9, 9] Generated Node #3: [9, 9] from Operation: 11-2=9 Current State: 81:[9, 9], Operations: ['94-83=11', '11-2=9'] Exploring Operation: 9*9=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 34, 4, 60, 89 ]
82
[ "89-60=29", "4*29=116", "116-34=82" ]
Current State: 82:[34, 4, 60, 89], Operations: [] Exploring Operation: 89-60=29, Resulting Numbers: [34, 4, 29] Generated Node #2: [34, 4, 29] from Operation: 89-60=29 Current State: 82:[34, 4, 29], Operations: ['89-60=29'] Exploring Operation: 4*29=116, Resulting Numbers: [34, 116] Generated Node #3: [34, 116] from Operation: 4*29=116 Current State: 82:[34, 116], Operations: ['89-60=29', '4*29=116'] Exploring Operation: 116-34=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 36, 71, 9, 85 ]
41
[ "71-36=35", "85-9=76", "76-35=41" ]
Current State: 41:[36, 71, 9, 85], Operations: [] Exploring Operation: 71-36=35, Resulting Numbers: [9, 85, 35] Generated Node #2: [9, 85, 35] from Operation: 71-36=35 Current State: 41:[9, 85, 35], Operations: ['71-36=35'] Exploring Operation: 85-9=76, Resulting Numbers: [35, 76] Generated Node #3: [35, 76] from Operation: 85-9=76 Current State: 41:[35, 76], Operations: ['71-36=35', '85-9=76'] Exploring Operation: 76-35=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 88, 3, 25, 83 ]
50
[ "88-3=85", "85-83=2", "25*2=50" ]
Current State: 50:[88, 3, 25, 83], Operations: [] Exploring Operation: 88-3=85, Resulting Numbers: [25, 83, 85] Generated Node #2: [25, 83, 85] from Operation: 88-3=85 Current State: 50:[25, 83, 85], Operations: ['88-3=85'] Exploring Operation: 85-83=2, Resulting Numbers: [25, 2] Generated Node #3: [25, 2] from Operation: 85-83=2 Current State: 50:[25, 2], Operations: ['88-3=85', '85-83=2'] Exploring Operation: 25*2=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 58, 60, 27, 51 ]
12
[ "60-58=2", "51-27=24", "24/2=12" ]
Current State: 12:[58, 60, 27, 51], Operations: [] Exploring Operation: 60-58=2, Resulting Numbers: [27, 51, 2] Generated Node #2: [27, 51, 2] from Operation: 60-58=2 Current State: 12:[27, 51, 2], Operations: ['60-58=2'] Exploring Operation: 51-27=24, Resulting Numbers: [2, 24] Generated Node #3: [2, 24] from Operation: 51-27=24 Current State: 12:[2, 24], Operations: ['60-58=2', '51-27=24'] Exploring Operation: 24/2=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 70, 14, 77, 10 ]
88
[ "77-70=7", "14*7=98", "98-10=88" ]
Current State: 88:[70, 14, 77, 10], Operations: [] Exploring Operation: 77-70=7, Resulting Numbers: [14, 10, 7] Generated Node #2: [14, 10, 7] from Operation: 77-70=7 Current State: 88:[14, 10, 7], Operations: ['77-70=7'] Exploring Operation: 14*7=98, Resulting Numbers: [10, 98] Generated Node #3: [10, 98] from Operation: 14*7=98 Current State: 88:[10, 98], Operations: ['77-70=7', '14*7=98'] Exploring Operation: 98-10=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 29, 83, 36, 70 ]
88
[ "83-29=54", "70-36=34", "54+34=88" ]
Current State: 88:[29, 83, 36, 70], Operations: [] Exploring Operation: 83-29=54, Resulting Numbers: [36, 70, 54] Generated Node #2: [36, 70, 54] from Operation: 83-29=54 Current State: 88:[36, 70, 54], Operations: ['83-29=54'] Exploring Operation: 70-36=34, Resulting Numbers: [54, 34] Generated Node #3: [54, 34] from Operation: 70-36=34 Current State: 88:[54, 34], Operations: ['83-29=54', '70-36=34'] Exploring Operation: 54+34=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 88, 96, 21, 44 ]
77
[ "88/44=2", "96-21=75", "2+75=77" ]
Current State: 77:[88, 96, 21, 44], Operations: [] Exploring Operation: 88/44=2, Resulting Numbers: [96, 21, 2] Generated Node #2: [96, 21, 2] from Operation: 88/44=2 Current State: 77:[96, 21, 2], Operations: ['88/44=2'] Exploring Operation: 96-21=75, Resulting Numbers: [2, 75] Generated Node #3: [2, 75] from Operation: 96-21=75 Current State: 77:[2, 75], Operations: ['88/44=2', '96-21=75'] Exploring Operation: 2+75=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 2, 10, 29, 34 ]
25
[ "2*10=20", "34-29=5", "20+5=25" ]
Current State: 25:[2, 10, 29, 34], Operations: [] Exploring Operation: 2*10=20, Resulting Numbers: [29, 34, 20] Generated Node #2: [29, 34, 20] from Operation: 2*10=20 Current State: 25:[29, 34, 20], Operations: ['2*10=20'] Exploring Operation: 34-29=5, Resulting Numbers: [20, 5] Generated Node #3: [20, 5] from Operation: 34-29=5 Current State: 25:[20, 5], Operations: ['2*10=20', '34-29=5'] Exploring Operation: 20+5=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 62, 27, 93, 4 ]
33
[ "93*4=372", "372/62=6", "27+6=33" ]
Current State: 33:[62, 27, 93, 4], Operations: [] Exploring Operation: 93*4=372, Resulting Numbers: [62, 27, 372] Generated Node #2: [62, 27, 372] from Operation: 93*4=372 Current State: 33:[62, 27, 372], Operations: ['93*4=372'] Exploring Operation: 372/62=6, Resulting Numbers: [27, 6] Generated Node #3: [27, 6] from Operation: 372/62=6 Current State: 33:[27, 6], Operations: ['93*4=372', '372/62=6'] Exploring Operation: 27+6=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 66, 48, 66, 7 ]
48
[ "66-66=0", "7*0=0", "48+0=48" ]
Current State: 48:[66, 48, 66, 7], Operations: [] Exploring Operation: 66-66=0, Resulting Numbers: [48, 7, 0] Generated Node #2: [48, 7, 0] from Operation: 66-66=0 Current State: 48:[48, 7, 0], Operations: ['66-66=0'] Exploring Operation: 7*0=0, Resulting Numbers: [48, 0] Generated Node #3: [48, 0] from Operation: 7*0=0 Current State: 48:[48, 0], Operations: ['66-66=0', '7*0=0'] Exploring Operation: 48+0=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 52, 44, 77, 56 ]
20
[ "44*56=2464", "2464/77=32", "52-32=20" ]
Current State: 20:[52, 44, 77, 56], Operations: [] Exploring Operation: 44*56=2464, Resulting Numbers: [52, 77, 2464] Generated Node #2: [52, 77, 2464] from Operation: 44*56=2464 Current State: 20:[52, 77, 2464], Operations: ['44*56=2464'] Exploring Operation: 2464/77=32, Resulting Numbers: [52, 32] Generated Node #3: [52, 32] from Operation: 2464/77=32 Current State: 20:[52, 32], Operations: ['44*56=2464', '2464/77=32'] Exploring Operation: 52-32=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 9, 78, 34, 54 ]
21
[ "9*78=702", "702/54=13", "34-13=21" ]
Current State: 21:[9, 78, 34, 54], Operations: [] Exploring Operation: 9*78=702, Resulting Numbers: [34, 54, 702] Generated Node #2: [34, 54, 702] from Operation: 9*78=702 Current State: 21:[34, 54, 702], Operations: ['9*78=702'] Exploring Operation: 702/54=13, Resulting Numbers: [34, 13] Generated Node #3: [34, 13] from Operation: 702/54=13 Current State: 21:[34, 13], Operations: ['9*78=702', '702/54=13'] Exploring Operation: 34-13=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 49, 96, 1, 60 ]
85
[ "49+96=145", "1*60=60", "145-60=85" ]
Current State: 85:[49, 96, 1, 60], Operations: [] Exploring Operation: 49+96=145, Resulting Numbers: [1, 60, 145] Generated Node #2: [1, 60, 145] from Operation: 49+96=145 Current State: 85:[1, 60, 145], Operations: ['49+96=145'] Exploring Operation: 1*60=60, Resulting Numbers: [145, 60] Generated Node #3: [145, 60] from Operation: 1*60=60 Current State: 85:[145, 60], Operations: ['49+96=145', '1*60=60'] Exploring Operation: 145-60=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 45, 49, 24, 38 ]
56
[ "49-45=4", "38-24=14", "4*14=56" ]
Current State: 56:[45, 49, 24, 38], Operations: [] Exploring Operation: 49-45=4, Resulting Numbers: [24, 38, 4] Generated Node #2: [24, 38, 4] from Operation: 49-45=4 Current State: 56:[24, 38, 4], Operations: ['49-45=4'] Exploring Operation: 38-24=14, Resulting Numbers: [4, 14] Generated Node #3: [4, 14] from Operation: 38-24=14 Current State: 56:[4, 14], Operations: ['49-45=4', '38-24=14'] Exploring Operation: 4*14=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 11, 97, 32, 41 ]
77
[ "97-11=86", "41-32=9", "86-9=77" ]
Current State: 77:[11, 97, 32, 41], Operations: [] Exploring Operation: 97-11=86, Resulting Numbers: [32, 41, 86] Generated Node #2: [32, 41, 86] from Operation: 97-11=86 Current State: 77:[32, 41, 86], Operations: ['97-11=86'] Exploring Operation: 41-32=9, Resulting Numbers: [86, 9] Generated Node #3: [86, 9] from Operation: 41-32=9 Current State: 77:[86, 9], Operations: ['97-11=86', '41-32=9'] Exploring Operation: 86-9=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 52, 88, 52, 78 ]
80
[ "88*78=6864", "6864/52=132", "132-52=80" ]
Current State: 80:[52, 88, 52, 78], Operations: [] Exploring Operation: 88*78=6864, Resulting Numbers: [52, 52, 6864] Generated Node #2: [52, 52, 6864] from Operation: 88*78=6864 Current State: 80:[52, 52, 6864], Operations: ['88*78=6864'] Exploring Operation: 6864/52=132, Resulting Numbers: [132] 132,80 equal: Goal Reached Exploring Operation: 132-52=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 99, 7, 79, 94 ]
77
[ "99-7=92", "94-79=15", "92-15=77" ]
Current State: 77:[99, 7, 79, 94], Operations: [] Exploring Operation: 99-7=92, Resulting Numbers: [79, 94, 92] Generated Node #2: [79, 94, 92] from Operation: 99-7=92 Current State: 77:[79, 94, 92], Operations: ['99-7=92'] Exploring Operation: 94-79=15, Resulting Numbers: [92, 15] Generated Node #3: [92, 15] from Operation: 94-79=15 Current State: 77:[92, 15], Operations: ['99-7=92', '94-79=15'] Exploring Operation: 92-15=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 2, 5, 25, 4 ]
64
[ "5+25=30", "2*30=60", "4+60=64" ]
Current State: 64:[2, 5, 25, 4], Operations: [] Exploring Operation: 5+25=30, Resulting Numbers: [2, 4, 30] Generated Node #2: [2, 4, 30] from Operation: 5+25=30 Current State: 64:[2, 4, 30], Operations: ['5+25=30'] Exploring Operation: 2*30=60, Resulting Numbers: [4, 60] Generated Node #3: [4, 60] from Operation: 2*30=60 Current State: 64:[4, 60], Operations: ['5+25=30', '2*30=60'] Exploring Operation: 4+60=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 84, 11, 68, 12 ]
39
[ "84+11=95", "68-12=56", "95-56=39" ]
Current State: 39:[84, 11, 68, 12], Operations: [] Exploring Operation: 84+11=95, Resulting Numbers: [68, 12, 95] Generated Node #2: [68, 12, 95] from Operation: 84+11=95 Current State: 39:[68, 12, 95], Operations: ['84+11=95'] Exploring Operation: 68-12=56, Resulting Numbers: [95, 56] Generated Node #3: [95, 56] from Operation: 68-12=56 Current State: 39:[95, 56], Operations: ['84+11=95', '68-12=56'] Exploring Operation: 95-56=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 52, 87, 63, 31 ]
90
[ "52-31=21", "63/21=3", "87+3=90" ]
Current State: 90:[52, 87, 63, 31], Operations: [] Exploring Operation: 52-31=21, Resulting Numbers: [87, 63, 21] Generated Node #2: [87, 63, 21] from Operation: 52-31=21 Current State: 90:[87, 63, 21], Operations: ['52-31=21'] Exploring Operation: 63/21=3, Resulting Numbers: [87, 3] Generated Node #3: [87, 3] from Operation: 63/21=3 Current State: 90:[87, 3], Operations: ['52-31=21', '63/21=3'] Exploring Operation: 87+3=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 9, 44, 11, 26 ]
35
[ "11-9=2", "44+26=70", "70/2=35" ]
Current State: 35:[9, 44, 11, 26], Operations: [] Exploring Operation: 11-9=2, Resulting Numbers: [44, 26, 2] Generated Node #2: [44, 26, 2] from Operation: 11-9=2 Current State: 35:[44, 26, 2], Operations: ['11-9=2'] Exploring Operation: 44+26=70, Resulting Numbers: [2, 70] Generated Node #3: [2, 70] from Operation: 44+26=70 Current State: 35:[2, 70], Operations: ['11-9=2', '44+26=70'] Exploring Operation: 70/2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 59, 74, 37, 90 ]
43
[ "74-59=15", "90/15=6", "37+6=43" ]
Current State: 43:[59, 74, 37, 90], Operations: [] Exploring Operation: 74-59=15, Resulting Numbers: [37, 90, 15] Generated Node #2: [37, 90, 15] from Operation: 74-59=15 Current State: 43:[37, 90, 15], Operations: ['74-59=15'] Exploring Operation: 90/15=6, Resulting Numbers: [37, 6] Generated Node #3: [37, 6] from Operation: 90/15=6 Current State: 43:[37, 6], Operations: ['74-59=15', '90/15=6'] Exploring Operation: 37+6=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 61, 75, 87, 78 ]
96
[ "78-75=3", "61*3=183", "183-87=96" ]
Current State: 96:[61, 75, 87, 78], Operations: [] Exploring Operation: 78-75=3, Resulting Numbers: [61, 87, 3] Generated Node #2: [61, 87, 3] from Operation: 78-75=3 Current State: 96:[61, 87, 3], Operations: ['78-75=3'] Exploring Operation: 61*3=183, Resulting Numbers: [87, 183] Generated Node #3: [87, 183] from Operation: 61*3=183 Current State: 96:[87, 183], Operations: ['78-75=3', '61*3=183'] Exploring Operation: 183-87=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 2, 3, 36, 42 ]
66
[ "2*36=72", "72/3=24", "42+24=66" ]
Current State: 66:[2, 3, 36, 42], Operations: [] Exploring Operation: 2*36=72, Resulting Numbers: [3, 42, 72] Generated Node #2: [3, 42, 72] from Operation: 2*36=72 Current State: 66:[3, 42, 72], Operations: ['2*36=72'] Exploring Operation: 72/3=24, Resulting Numbers: [42, 24] Generated Node #3: [42, 24] from Operation: 72/3=24 Current State: 66:[42, 24], Operations: ['2*36=72', '72/3=24'] Exploring Operation: 42+24=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 79, 3, 87, 83 ]
78
[ "79+3=82", "87-83=4", "82-4=78" ]
Current State: 78:[79, 3, 87, 83], Operations: [] Exploring Operation: 79+3=82, Resulting Numbers: [87, 83, 82] Generated Node #2: [87, 83, 82] from Operation: 79+3=82 Current State: 78:[87, 83, 82], Operations: ['79+3=82'] Exploring Operation: 87-83=4, Resulting Numbers: [82, 4] Generated Node #3: [82, 4] from Operation: 87-83=4 Current State: 78:[82, 4], Operations: ['79+3=82', '87-83=4'] Exploring Operation: 82-4=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 32, 82, 62, 42 ]
54
[ "82-32=50", "62+42=104", "104-50=54" ]
Current State: 54:[32, 82, 62, 42], Operations: [] Exploring Operation: 82-32=50, Resulting Numbers: [62, 42, 50] Generated Node #2: [62, 42, 50] from Operation: 82-32=50 Current State: 54:[62, 42, 50], Operations: ['82-32=50'] Exploring Operation: 62+42=104, Resulting Numbers: [50, 104] Generated Node #3: [50, 104] from Operation: 62+42=104 Current State: 54:[50, 104], Operations: ['82-32=50', '62+42=104'] Exploring Operation: 104-50=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 7, 86, 39, 42 ]
76
[ "86-7=79", "42-39=3", "79-3=76" ]
Current State: 76:[7, 86, 39, 42], Operations: [] Exploring Operation: 86-7=79, Resulting Numbers: [39, 42, 79] Generated Node #2: [39, 42, 79] from Operation: 86-7=79 Current State: 76:[39, 42, 79], Operations: ['86-7=79'] Exploring Operation: 42-39=3, Resulting Numbers: [79, 3] Generated Node #3: [79, 3] from Operation: 42-39=3 Current State: 76:[79, 3], Operations: ['86-7=79', '42-39=3'] Exploring Operation: 79-3=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 47, 59, 62, 28 ]
72
[ "47+59=106", "62-28=34", "106-34=72" ]
Current State: 72:[47, 59, 62, 28], Operations: [] Exploring Operation: 47+59=106, Resulting Numbers: [62, 28, 106] Generated Node #2: [62, 28, 106] from Operation: 47+59=106 Current State: 72:[62, 28, 106], Operations: ['47+59=106'] Exploring Operation: 62-28=34, Resulting Numbers: [106, 34] Generated Node #3: [106, 34] from Operation: 62-28=34 Current State: 72:[106, 34], Operations: ['47+59=106', '62-28=34'] Exploring Operation: 106-34=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 41, 87, 47, 56 ]
37
[ "87-41=46", "56-47=9", "46-9=37" ]
Current State: 37:[41, 87, 47, 56], Operations: [] Exploring Operation: 87-41=46, Resulting Numbers: [47, 56, 46] Generated Node #2: [47, 56, 46] from Operation: 87-41=46 Current State: 37:[47, 56, 46], Operations: ['87-41=46'] Exploring Operation: 56-47=9, Resulting Numbers: [46, 9] Generated Node #3: [46, 9] from Operation: 56-47=9 Current State: 37:[46, 9], Operations: ['87-41=46', '56-47=9'] Exploring Operation: 46-9=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 90, 31, 37, 7 ]
89
[ "90-31=59", "37-7=30", "59+30=89" ]
Current State: 89:[90, 31, 37, 7], Operations: [] Exploring Operation: 90-31=59, Resulting Numbers: [37, 7, 59] Generated Node #2: [37, 7, 59] from Operation: 90-31=59 Current State: 89:[37, 7, 59], Operations: ['90-31=59'] Exploring Operation: 37-7=30, Resulting Numbers: [59, 30] Generated Node #3: [59, 30] from Operation: 37-7=30 Current State: 89:[59, 30], Operations: ['90-31=59', '37-7=30'] Exploring Operation: 59+30=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 85, 54, 77, 51 ]
97
[ "85-54=31", "77+51=128", "128-31=97" ]
Current State: 97:[85, 54, 77, 51], Operations: [] Exploring Operation: 85-54=31, Resulting Numbers: [77, 51, 31] Generated Node #2: [77, 51, 31] from Operation: 85-54=31 Current State: 97:[77, 51, 31], Operations: ['85-54=31'] Exploring Operation: 77+51=128, Resulting Numbers: [31, 128] Generated Node #3: [31, 128] from Operation: 77+51=128 Current State: 97:[31, 128], Operations: ['85-54=31', '77+51=128'] Exploring Operation: 128-31=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 95, 27, 45, 99 ]
72
[ "99-95=4", "45-27=18", "4*18=72" ]
Current State: 72:[95, 27, 45, 99], Operations: [] Exploring Operation: 99-95=4, Resulting Numbers: [27, 45, 4] Generated Node #2: [27, 45, 4] from Operation: 99-95=4 Current State: 72:[27, 45, 4], Operations: ['99-95=4'] Exploring Operation: 45-27=18, Resulting Numbers: [4, 18] Generated Node #3: [4, 18] from Operation: 45-27=18 Current State: 72:[4, 18], Operations: ['99-95=4', '45-27=18'] Exploring Operation: 4*18=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 86, 64, 1, 8 ]
95
[ "86+1=87", "64/8=8", "87+8=95" ]
Current State: 95:[86, 64, 1, 8], Operations: [] Exploring Operation: 86+1=87, Resulting Numbers: [64, 8, 87] Generated Node #2: [64, 8, 87] from Operation: 86+1=87 Current State: 95:[64, 8, 87], Operations: ['86+1=87'] Exploring Operation: 64/8=8, Resulting Numbers: [87, 8] Generated Node #3: [87, 8] from Operation: 64/8=8 Current State: 95:[87, 8], Operations: ['86+1=87', '64/8=8'] Exploring Operation: 87+8=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 63, 50, 38, 33 ]
35
[ "63-38=25", "50/25=2", "33+2=35" ]
Current State: 35:[63, 50, 38, 33], Operations: [] Exploring Operation: 63-38=25, Resulting Numbers: [50, 33, 25] Generated Node #2: [50, 33, 25] from Operation: 63-38=25 Current State: 35:[50, 33, 25], Operations: ['63-38=25'] Exploring Operation: 50/25=2, Resulting Numbers: [33, 2] Generated Node #3: [33, 2] from Operation: 50/25=2 Current State: 35:[33, 2], Operations: ['63-38=25', '50/25=2'] Exploring Operation: 33+2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 19, 64, 51, 67 ]
29
[ "64-19=45", "67-51=16", "45-16=29" ]
Current State: 29:[19, 64, 51, 67], Operations: [] Exploring Operation: 64-19=45, Resulting Numbers: [51, 67, 45] Generated Node #2: [51, 67, 45] from Operation: 64-19=45 Current State: 29:[51, 67, 45], Operations: ['64-19=45'] Exploring Operation: 67-51=16, Resulting Numbers: [45, 16] Generated Node #3: [45, 16] from Operation: 67-51=16 Current State: 29:[45, 16], Operations: ['64-19=45', '67-51=16'] Exploring Operation: 45-16=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 36, 64, 51, 79 ]
30
[ "36+64=100", "51+79=130", "130-100=30" ]
Current State: 30:[36, 64, 51, 79], Operations: [] Exploring Operation: 36+64=100, Resulting Numbers: [51, 79, 100] Generated Node #2: [51, 79, 100] from Operation: 36+64=100 Current State: 30:[51, 79, 100], Operations: ['36+64=100'] Exploring Operation: 51+79=130, Resulting Numbers: [100, 130] Generated Node #3: [100, 130] from Operation: 51+79=130 Current State: 30:[100, 130], Operations: ['36+64=100', '51+79=130'] Exploring Operation: 130-100=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 96, 46, 24, 28 ]
14
[ "96/24=4", "46-28=18", "18-4=14" ]
Current State: 14:[96, 46, 24, 28], Operations: [] Exploring Operation: 96/24=4, Resulting Numbers: [46, 28, 4] Generated Node #2: [46, 28, 4] from Operation: 96/24=4 Current State: 14:[46, 28, 4], Operations: ['96/24=4'] Exploring Operation: 46-28=18, Resulting Numbers: [4, 18] Generated Node #3: [4, 18] from Operation: 46-28=18 Current State: 14:[4, 18], Operations: ['96/24=4', '46-28=18'] Exploring Operation: 18-4=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 71, 33, 40, 2 ]
24
[ "71+33=104", "40*2=80", "104-80=24" ]
Current State: 24:[71, 33, 40, 2], Operations: [] Exploring Operation: 71+33=104, Resulting Numbers: [40, 2, 104] Generated Node #2: [40, 2, 104] from Operation: 71+33=104 Current State: 24:[40, 2, 104], Operations: ['71+33=104'] Exploring Operation: 40*2=80, Resulting Numbers: [104, 80] Generated Node #3: [104, 80] from Operation: 40*2=80 Current State: 24:[104, 80], Operations: ['71+33=104', '40*2=80'] Exploring Operation: 104-80=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 9, 12, 94, 18 ]
88
[ "9*12=108", "108/18=6", "94-6=88" ]
Current State: 88:[9, 12, 94, 18], Operations: [] Exploring Operation: 9*12=108, Resulting Numbers: [94, 18, 108] Generated Node #2: [94, 18, 108] from Operation: 9*12=108 Current State: 88:[94, 18, 108], Operations: ['9*12=108'] Exploring Operation: 108/18=6, Resulting Numbers: [94, 6] Generated Node #3: [94, 6] from Operation: 108/18=6 Current State: 88:[94, 6], Operations: ['9*12=108', '108/18=6'] Exploring Operation: 94-6=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 51, 9, 14, 81 ]
75
[ "81/9=9", "14*9=126", "126-51=75" ]
Current State: 75:[51, 9, 14, 81], Operations: [] Exploring Operation: 81/9=9, Resulting Numbers: [51, 14, 9] Generated Node #2: [51, 14, 9] from Operation: 81/9=9 Current State: 75:[51, 14, 9], Operations: ['81/9=9'] Exploring Operation: 14*9=126, Resulting Numbers: [51, 126] Generated Node #3: [51, 126] from Operation: 14*9=126 Current State: 75:[51, 126], Operations: ['81/9=9', '14*9=126'] Exploring Operation: 126-51=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 40, 18, 61, 19 ]
58
[ "40-18=22", "61+19=80", "80-22=58" ]
Current State: 58:[40, 18, 61, 19], Operations: [] Exploring Operation: 40-18=22, Resulting Numbers: [61, 19, 22] Generated Node #2: [61, 19, 22] from Operation: 40-18=22 Current State: 58:[61, 19, 22], Operations: ['40-18=22'] Exploring Operation: 61+19=80, Resulting Numbers: [22, 80] Generated Node #3: [22, 80] from Operation: 61+19=80 Current State: 58:[22, 80], Operations: ['40-18=22', '61+19=80'] Exploring Operation: 80-22=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 3, 9, 71, 62 ]
15
[ "9-3=6", "71-62=9", "6+9=15" ]
Current State: 15:[3, 9, 71, 62], Operations: [] Exploring Operation: 9-3=6, Resulting Numbers: [71, 62, 6] Generated Node #2: [71, 62, 6] from Operation: 9-3=6 Current State: 15:[71, 62, 6], Operations: ['9-3=6'] Exploring Operation: 71-62=9, Resulting Numbers: [6, 9] Generated Node #3: [6, 9] from Operation: 71-62=9 Current State: 15:[6, 9], Operations: ['9-3=6', '71-62=9'] Exploring Operation: 6+9=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 57, 4, 68, 41 ]
17
[ "57-41=16", "4*68=272", "272/16=17" ]
Current State: 17:[57, 4, 68, 41], Operations: [] Exploring Operation: 57-41=16, Resulting Numbers: [4, 68, 16] Generated Node #2: [4, 68, 16] from Operation: 57-41=16 Current State: 17:[4, 68, 16], Operations: ['57-41=16'] Exploring Operation: 4*68=272, Resulting Numbers: [16, 272] Generated Node #3: [16, 272] from Operation: 4*68=272 Current State: 17:[16, 272], Operations: ['57-41=16', '4*68=272'] Exploring Operation: 272/16=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 96, 68, 56, 62 ]
22
[ "96-68=28", "62-56=6", "28-6=22" ]
Current State: 22:[96, 68, 56, 62], Operations: [] Exploring Operation: 96-68=28, Resulting Numbers: [56, 62, 28] Generated Node #2: [56, 62, 28] from Operation: 96-68=28 Current State: 22:[56, 62, 28], Operations: ['96-68=28'] Exploring Operation: 62-56=6, Resulting Numbers: [28, 6] Generated Node #3: [28, 6] from Operation: 62-56=6 Current State: 22:[28, 6], Operations: ['96-68=28', '62-56=6'] Exploring Operation: 28-6=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 50, 20, 16, 86 ]
40
[ "50-20=30", "86-16=70", "70-30=40" ]
Current State: 40:[50, 20, 16, 86], Operations: [] Exploring Operation: 50-20=30, Resulting Numbers: [16, 86, 30] Generated Node #2: [16, 86, 30] from Operation: 50-20=30 Current State: 40:[16, 86, 30], Operations: ['50-20=30'] Exploring Operation: 86-16=70, Resulting Numbers: [30, 70] Generated Node #3: [30, 70] from Operation: 86-16=70 Current State: 40:[30, 70], Operations: ['50-20=30', '86-16=70'] Exploring Operation: 70-30=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 11, 63, 88, 85 ]
14
[ "88/11=8", "85-63=22", "22-8=14" ]
Current State: 14:[11, 63, 88, 85], Operations: [] Exploring Operation: 88/11=8, Resulting Numbers: [63, 85, 8] Generated Node #2: [63, 85, 8] from Operation: 88/11=8 Current State: 14:[63, 85, 8], Operations: ['88/11=8'] Exploring Operation: 85-63=22, Resulting Numbers: [8, 22] Generated Node #3: [8, 22] from Operation: 85-63=22 Current State: 14:[8, 22], Operations: ['88/11=8', '85-63=22'] Exploring Operation: 22-8=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 52, 31, 80, 28 ]
60
[ "52-31=21", "80*21=1680", "1680/28=60" ]
Current State: 60:[52, 31, 80, 28], Operations: [] Exploring Operation: 52-31=21, Resulting Numbers: [80, 28, 21] Generated Node #2: [80, 28, 21] from Operation: 52-31=21 Current State: 60:[80, 28, 21], Operations: ['52-31=21'] Exploring Operation: 80*21=1680, Resulting Numbers: [28, 1680] Generated Node #3: [28, 1680] from Operation: 80*21=1680 Current State: 60:[28, 1680], Operations: ['52-31=21', '80*21=1680'] Exploring Operation: 1680/28=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 77, 61, 25, 90 ]
81
[ "77-61=16", "90-25=65", "16+65=81" ]
Current State: 81:[77, 61, 25, 90], Operations: [] Exploring Operation: 77-61=16, Resulting Numbers: [25, 90, 16] Generated Node #2: [25, 90, 16] from Operation: 77-61=16 Current State: 81:[25, 90, 16], Operations: ['77-61=16'] Exploring Operation: 90-25=65, Resulting Numbers: [16, 65] Generated Node #3: [16, 65] from Operation: 90-25=65 Current State: 81:[16, 65], Operations: ['77-61=16', '90-25=65'] Exploring Operation: 16+65=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 81, 95, 70, 68 ]
67
[ "95-68=27", "81/27=3", "70-3=67" ]
Current State: 67:[81, 95, 70, 68], Operations: [] Exploring Operation: 95-68=27, Resulting Numbers: [81, 70, 27] Generated Node #2: [81, 70, 27] from Operation: 95-68=27 Current State: 67:[81, 70, 27], Operations: ['95-68=27'] Exploring Operation: 81/27=3, Resulting Numbers: [70, 3] Generated Node #3: [70, 3] from Operation: 81/27=3 Current State: 67:[70, 3], Operations: ['95-68=27', '81/27=3'] Exploring Operation: 70-3=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 24, 72, 49, 68 ]
21
[ "24+72=96", "49+68=117", "117-96=21" ]
Current State: 21:[24, 72, 49, 68], Operations: [] Exploring Operation: 24+72=96, Resulting Numbers: [49, 68, 96] Generated Node #2: [49, 68, 96] from Operation: 24+72=96 Current State: 21:[49, 68, 96], Operations: ['24+72=96'] Exploring Operation: 49+68=117, Resulting Numbers: [96, 117] Generated Node #3: [96, 117] from Operation: 49+68=117 Current State: 21:[96, 117], Operations: ['24+72=96', '49+68=117'] Exploring Operation: 117-96=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 33, 7, 90, 33 ]
96
[ "33/33=1", "7+90=97", "97-1=96" ]
Current State: 96:[33, 7, 90, 33], Operations: [] Exploring Operation: 33/33=1, Resulting Numbers: [7, 90, 1] Generated Node #2: [7, 90, 1] from Operation: 33/33=1 Current State: 96:[7, 90, 1], Operations: ['33/33=1'] Exploring Operation: 7+90=97, Resulting Numbers: [1, 97] Generated Node #3: [1, 97] from Operation: 7+90=97 Current State: 96:[1, 97], Operations: ['33/33=1', '7+90=97'] Exploring Operation: 97-1=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 42, 87, 46, 11 ]
95
[ "42+46=88", "88/11=8", "87+8=95" ]
Current State: 95:[42, 87, 46, 11], Operations: [] Exploring Operation: 42+46=88, Resulting Numbers: [87, 11, 88] Generated Node #2: [87, 11, 88] from Operation: 42+46=88 Current State: 95:[87, 11, 88], Operations: ['42+46=88'] Exploring Operation: 88/11=8, Resulting Numbers: [87, 8] Generated Node #3: [87, 8] from Operation: 88/11=8 Current State: 95:[87, 8], Operations: ['42+46=88', '88/11=8'] Exploring Operation: 87+8=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 82, 4, 18, 85 ]
30
[ "85-82=3", "4*3=12", "18+12=30" ]
Current State: 30:[82, 4, 18, 85], Operations: [] Exploring Operation: 85-82=3, Resulting Numbers: [4, 18, 3] Generated Node #2: [4, 18, 3] from Operation: 85-82=3 Current State: 30:[4, 18, 3], Operations: ['85-82=3'] Exploring Operation: 4*3=12, Resulting Numbers: [18, 12] Generated Node #3: [18, 12] from Operation: 4*3=12 Current State: 30:[18, 12], Operations: ['85-82=3', '4*3=12'] Exploring Operation: 18+12=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 89, 74, 14, 88 ]
61
[ "89+74=163", "14+88=102", "163-102=61" ]
Current State: 61:[89, 74, 14, 88], Operations: [] Exploring Operation: 89+74=163, Resulting Numbers: [14, 88, 163] Generated Node #2: [14, 88, 163] from Operation: 89+74=163 Current State: 61:[14, 88, 163], Operations: ['89+74=163'] Exploring Operation: 14+88=102, Resulting Numbers: [163, 102] Generated Node #3: [163, 102] from Operation: 14+88=102 Current State: 61:[163, 102], Operations: ['89+74=163', '14+88=102'] Exploring Operation: 163-102=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4