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
[ 73, 12, 84, 8 ]
64
[ "84-12=72", "72/8=9", "73-9=64" ]
Current State: 64:[73, 12, 84, 8], Operations: [] Exploring Operation: 84-12=72, Resulting Numbers: [73, 8, 72] Generated Node #2: [73, 8, 72] from Operation: 84-12=72 Current State: 64:[73, 8, 72], Operations: ['84-12=72'] Exploring Operation: 72/8=9, Resulting Numbers: [73, 9] Generated Node #3: [73, 9] from Operation: 72/8=9 Current State: 64:[73, 9], Operations: ['84-12=72', '72/8=9'] Exploring Operation: 73-9=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 20, 87, 91, 68 ]
84
[ "20+87=107", "91-68=23", "107-23=84" ]
Current State: 84:[20, 87, 91, 68], Operations: [] Exploring Operation: 20+87=107, Resulting Numbers: [91, 68, 107] Generated Node #2: [91, 68, 107] from Operation: 20+87=107 Current State: 84:[91, 68, 107], Operations: ['20+87=107'] Exploring Operation: 91-68=23, Resulting Numbers: [107, 23] Generated Node #3: [107, 23] from Operation: 91-68=23 Current State: 84:[107, 23], Operations: ['20+87=107', '91-68=23'] Exploring Operation: 107-23=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 37, 59, 28, 62 ]
83
[ "62-59=3", "37*3=111", "111-28=83" ]
Current State: 83:[37, 59, 28, 62], Operations: [] Exploring Operation: 62-59=3, Resulting Numbers: [37, 28, 3] Generated Node #2: [37, 28, 3] from Operation: 62-59=3 Current State: 83:[37, 28, 3], Operations: ['62-59=3'] Exploring Operation: 37*3=111, Resulting Numbers: [28, 111] Generated Node #3: [28, 111] from Operation: 37*3=111 Current State: 83:[28, 111], Operations: ['62-59=3', '37*3=111'] Exploring Operation: 111-28=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 79, 45, 56, 42 ]
89
[ "45-42=3", "56*3=168", "168-79=89" ]
Current State: 89:[79, 45, 56, 42], Operations: [] Exploring Operation: 45-42=3, Resulting Numbers: [79, 56, 3] Generated Node #2: [79, 56, 3] from Operation: 45-42=3 Current State: 89:[79, 56, 3], Operations: ['45-42=3'] Exploring Operation: 56*3=168, Resulting Numbers: [79, 168] Generated Node #3: [79, 168] from Operation: 56*3=168 Current State: 89:[79, 168], Operations: ['45-42=3', '56*3=168'] Exploring Operation: 168-79=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 88, 15, 80, 30 ]
12
[ "88*15=1320", "80+30=110", "1320/110=12" ]
Current State: 12:[88, 15, 80, 30], Operations: [] Exploring Operation: 88*15=1320, Resulting Numbers: [80, 30, 1320] Generated Node #2: [80, 30, 1320] from Operation: 88*15=1320 Current State: 12:[80, 30, 1320], Operations: ['88*15=1320'] Exploring Operation: 80+30=110, Resulting Numbers: [1320, 110] Generated Node #3: [1320, 110] from Operation: 80+30=110 Current State: 12:[1320, 110], Operations: ['88*15=1320', '80+30=110'] Exploring Operation: 1320/110=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 39, 83, 11, 7 ]
62
[ "83-39=44", "11+7=18", "44+18=62" ]
Current State: 62:[39, 83, 11, 7], Operations: [] Exploring Operation: 83-39=44, Resulting Numbers: [11, 7, 44] Generated Node #2: [11, 7, 44] from Operation: 83-39=44 Current State: 62:[11, 7, 44], Operations: ['83-39=44'] Exploring Operation: 11+7=18, Resulting Numbers: [44, 18] Generated Node #3: [44, 18] from Operation: 11+7=18 Current State: 62:[44, 18], Operations: ['83-39=44', '11+7=18'] Exploring Operation: 44+18=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 16, 68, 3, 66 ]
26
[ "16-3=13", "68-66=2", "13*2=26" ]
Current State: 26:[16, 68, 3, 66], Operations: [] Exploring Operation: 16-3=13, Resulting Numbers: [68, 66, 13] Generated Node #2: [68, 66, 13] from Operation: 16-3=13 Current State: 26:[68, 66, 13], Operations: ['16-3=13'] Exploring Operation: 68-66=2, Resulting Numbers: [13, 2] Generated Node #3: [13, 2] from Operation: 68-66=2 Current State: 26:[13, 2], Operations: ['16-3=13', '68-66=2'] Exploring Operation: 13*2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 51, 16, 33, 90 ]
93
[ "33-16=17", "51/17=3", "90+3=93" ]
Current State: 93:[51, 16, 33, 90], Operations: [] Exploring Operation: 33-16=17, Resulting Numbers: [51, 90, 17] Generated Node #2: [51, 90, 17] from Operation: 33-16=17 Current State: 93:[51, 90, 17], Operations: ['33-16=17'] Exploring Operation: 51/17=3, Resulting Numbers: [90, 3] Generated Node #3: [90, 3] from Operation: 51/17=3 Current State: 93:[90, 3], Operations: ['33-16=17', '51/17=3'] Exploring Operation: 90+3=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 5, 22, 20, 36 ]
29
[ "5+22=27", "20+36=56", "56-27=29" ]
Current State: 29:[5, 22, 20, 36], Operations: [] Exploring Operation: 5+22=27, Resulting Numbers: [20, 36, 27] Generated Node #2: [20, 36, 27] from Operation: 5+22=27 Current State: 29:[20, 36, 27], Operations: ['5+22=27'] Exploring Operation: 20+36=56, Resulting Numbers: [27, 56] Generated Node #3: [27, 56] from Operation: 20+36=56 Current State: 29:[27, 56], Operations: ['5+22=27', '20+36=56'] Exploring Operation: 56-27=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 4, 72, 12, 28 ]
77
[ "28/4=7", "72+12=84", "84-7=77" ]
Current State: 77:[4, 72, 12, 28], Operations: [] Exploring Operation: 28/4=7, Resulting Numbers: [72, 12, 7] Generated Node #2: [72, 12, 7] from Operation: 28/4=7 Current State: 77:[72, 12, 7], Operations: ['28/4=7'] Exploring Operation: 72+12=84, Resulting Numbers: [7, 84] Generated Node #3: [7, 84] from Operation: 72+12=84 Current State: 77:[7, 84], Operations: ['28/4=7', '72+12=84'] Exploring Operation: 84-7=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 99, 34, 17, 64 ]
37
[ "99-64=35", "34/17=2", "35+2=37" ]
Current State: 37:[99, 34, 17, 64], Operations: [] Exploring Operation: 99-64=35, Resulting Numbers: [34, 17, 35] Generated Node #2: [34, 17, 35] from Operation: 99-64=35 Current State: 37:[34, 17, 35], Operations: ['99-64=35'] Exploring Operation: 34/17=2, Resulting Numbers: [35, 2] Generated Node #3: [35, 2] from Operation: 34/17=2 Current State: 37:[35, 2], Operations: ['99-64=35', '34/17=2'] Exploring Operation: 35+2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 31, 34, 2, 89 ]
10
[ "89-31=58", "34*2=68", "68-58=10" ]
Current State: 10:[31, 34, 2, 89], Operations: [] Exploring Operation: 89-31=58, Resulting Numbers: [34, 2, 58] Generated Node #2: [34, 2, 58] from Operation: 89-31=58 Current State: 10:[34, 2, 58], Operations: ['89-31=58'] Exploring Operation: 34*2=68, Resulting Numbers: [58, 68] Generated Node #3: [58, 68] from Operation: 34*2=68 Current State: 10:[58, 68], Operations: ['89-31=58', '34*2=68'] Exploring Operation: 68-58=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 79, 44, 26, 15 ]
76
[ "79-44=35", "26+15=41", "35+41=76" ]
Current State: 76:[79, 44, 26, 15], Operations: [] Exploring Operation: 79-44=35, Resulting Numbers: [26, 15, 35] Generated Node #2: [26, 15, 35] from Operation: 79-44=35 Current State: 76:[26, 15, 35], Operations: ['79-44=35'] Exploring Operation: 26+15=41, Resulting Numbers: [35, 41] Generated Node #3: [35, 41] from Operation: 26+15=41 Current State: 76:[35, 41], Operations: ['79-44=35', '26+15=41'] Exploring Operation: 35+41=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 69, 69, 26, 38 ]
38
[ "69-69=0", "26*0=0", "38+0=38" ]
Current State: 38:[69, 69, 26, 38], Operations: [] Exploring Operation: 69-69=0, Resulting Numbers: [26, 38, 0] Generated Node #2: [26, 38, 0] from Operation: 69-69=0 Current State: 38:[26, 38, 0], Operations: ['69-69=0'] Exploring Operation: 26*0=0, Resulting Numbers: [38, 0] Generated Node #3: [38, 0] from Operation: 26*0=0 Current State: 38:[38, 0], Operations: ['69-69=0', '26*0=0'] Exploring Operation: 38+0=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 2, 52, 21, 4 ]
24
[ "21-2=19", "4*19=76", "76-52=24" ]
Current State: 24:[2, 52, 21, 4], Operations: [] Exploring Operation: 21-2=19, Resulting Numbers: [52, 4, 19] Generated Node #2: [52, 4, 19] from Operation: 21-2=19 Current State: 24:[52, 4, 19], Operations: ['21-2=19'] Exploring Operation: 4*19=76, Resulting Numbers: [52, 76] Generated Node #3: [52, 76] from Operation: 4*19=76 Current State: 24:[52, 76], Operations: ['21-2=19', '4*19=76'] Exploring Operation: 76-52=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 49, 33, 6, 77 ]
30
[ "49+33=82", "82-77=5", "6*5=30" ]
Current State: 30:[49, 33, 6, 77], Operations: [] Exploring Operation: 49+33=82, Resulting Numbers: [6, 77, 82] Generated Node #2: [6, 77, 82] from Operation: 49+33=82 Current State: 30:[6, 77, 82], Operations: ['49+33=82'] Exploring Operation: 82-77=5, Resulting Numbers: [6, 5] Generated Node #3: [6, 5] from Operation: 82-77=5 Current State: 30:[6, 5], Operations: ['49+33=82', '82-77=5'] Exploring Operation: 6*5=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 7, 90, 86, 77 ]
17
[ "86-77=9", "90/9=10", "7+10=17" ]
Current State: 17:[7, 90, 86, 77], Operations: [] Exploring Operation: 86-77=9, Resulting Numbers: [7, 90, 9] Generated Node #2: [7, 90, 9] from Operation: 86-77=9 Current State: 17:[7, 90, 9], Operations: ['86-77=9'] Exploring Operation: 90/9=10, Resulting Numbers: [7, 10] Generated Node #3: [7, 10] from Operation: 90/9=10 Current State: 17:[7, 10], Operations: ['86-77=9', '90/9=10'] Exploring Operation: 7+10=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 32, 35, 61, 38 ]
32
[ "32+35=67", "61+38=99", "99-67=32" ]
Current State: 32:[32, 35, 61, 38], Operations: [] Exploring Operation: 32+35=67, Resulting Numbers: [61, 38, 67] Generated Node #2: [61, 38, 67] from Operation: 32+35=67 Current State: 32:[61, 38, 67], Operations: ['32+35=67'] Exploring Operation: 61+38=99, Resulting Numbers: [67, 99] Generated Node #3: [67, 99] from Operation: 61+38=99 Current State: 32:[67, 99], Operations: ['32+35=67', '61+38=99'] Exploring Operation: 99-67=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 70, 8, 57, 94 ]
41
[ "70+8=78", "94-57=37", "78-37=41" ]
Current State: 41:[70, 8, 57, 94], Operations: [] Exploring Operation: 70+8=78, Resulting Numbers: [57, 94, 78] Generated Node #2: [57, 94, 78] from Operation: 70+8=78 Current State: 41:[57, 94, 78], Operations: ['70+8=78'] Exploring Operation: 94-57=37, Resulting Numbers: [78, 37] Generated Node #3: [78, 37] from Operation: 94-57=37 Current State: 41:[78, 37], Operations: ['70+8=78', '94-57=37'] Exploring Operation: 78-37=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 69, 88, 6, 82 ]
57
[ "88-69=19", "82-6=76", "76-19=57" ]
Current State: 57:[69, 88, 6, 82], Operations: [] Exploring Operation: 88-69=19, Resulting Numbers: [6, 82, 19] Generated Node #2: [6, 82, 19] from Operation: 88-69=19 Current State: 57:[6, 82, 19], Operations: ['88-69=19'] Exploring Operation: 82-6=76, Resulting Numbers: [19, 76] Generated Node #3: [19, 76] from Operation: 82-6=76 Current State: 57:[19, 76], Operations: ['88-69=19', '82-6=76'] Exploring Operation: 76-19=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 17, 53, 25, 32 ]
77
[ "17+53=70", "32-25=7", "70+7=77" ]
Current State: 77:[17, 53, 25, 32], Operations: [] Exploring Operation: 17+53=70, Resulting Numbers: [25, 32, 70] Generated Node #2: [25, 32, 70] from Operation: 17+53=70 Current State: 77:[25, 32, 70], Operations: ['17+53=70'] Exploring Operation: 32-25=7, Resulting Numbers: [70, 7] Generated Node #3: [70, 7] from Operation: 32-25=7 Current State: 77:[70, 7], Operations: ['17+53=70', '32-25=7'] Exploring Operation: 70+7=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 56, 4, 30, 10 ]
49
[ "56-4=52", "30/10=3", "52-3=49" ]
Current State: 49:[56, 4, 30, 10], Operations: [] Exploring Operation: 56-4=52, Resulting Numbers: [30, 10, 52] Generated Node #2: [30, 10, 52] from Operation: 56-4=52 Current State: 49:[30, 10, 52], Operations: ['56-4=52'] Exploring Operation: 30/10=3, Resulting Numbers: [52, 3] Generated Node #3: [52, 3] from Operation: 30/10=3 Current State: 49:[52, 3], Operations: ['56-4=52', '30/10=3'] Exploring Operation: 52-3=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 75, 91, 3, 40 ]
59
[ "91-75=16", "3+40=43", "16+43=59" ]
Current State: 59:[75, 91, 3, 40], Operations: [] Exploring Operation: 91-75=16, Resulting Numbers: [3, 40, 16] Generated Node #2: [3, 40, 16] from Operation: 91-75=16 Current State: 59:[3, 40, 16], Operations: ['91-75=16'] Exploring Operation: 3+40=43, Resulting Numbers: [16, 43] Generated Node #3: [16, 43] from Operation: 3+40=43 Current State: 59:[16, 43], Operations: ['91-75=16', '3+40=43'] Exploring Operation: 16+43=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 49, 33, 45, 55 ]
84
[ "49-33=16", "45+55=100", "100-16=84" ]
Current State: 84:[49, 33, 45, 55], Operations: [] Exploring Operation: 49-33=16, Resulting Numbers: [45, 55, 16] Generated Node #2: [45, 55, 16] from Operation: 49-33=16 Current State: 84:[45, 55, 16], Operations: ['49-33=16'] Exploring Operation: 45+55=100, Resulting Numbers: [16, 100] Generated Node #3: [16, 100] from Operation: 45+55=100 Current State: 84:[16, 100], Operations: ['49-33=16', '45+55=100'] Exploring Operation: 100-16=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 83, 54, 79, 93 ]
15
[ "83-54=29", "93-79=14", "29-14=15" ]
Current State: 15:[83, 54, 79, 93], Operations: [] Exploring Operation: 83-54=29, Resulting Numbers: [79, 93, 29] Generated Node #2: [79, 93, 29] from Operation: 83-54=29 Current State: 15:[79, 93, 29], Operations: ['83-54=29'] Exploring Operation: 93-79=14, Resulting Numbers: [29, 14] Generated Node #3: [29, 14] from Operation: 93-79=14 Current State: 15:[29, 14], Operations: ['83-54=29', '93-79=14'] Exploring Operation: 29-14=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 91, 65, 18, 71 ]
74
[ "91+71=162", "162/18=9", "65+9=74" ]
Current State: 74:[91, 65, 18, 71], Operations: [] Exploring Operation: 91+71=162, Resulting Numbers: [65, 18, 162] Generated Node #2: [65, 18, 162] from Operation: 91+71=162 Current State: 74:[65, 18, 162], Operations: ['91+71=162'] Exploring Operation: 162/18=9, Resulting Numbers: [65, 9] Generated Node #3: [65, 9] from Operation: 162/18=9 Current State: 74:[65, 9], Operations: ['91+71=162', '162/18=9'] Exploring Operation: 65+9=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 45, 79, 36, 41 ]
43
[ "79-45=34", "36+41=77", "77-34=43" ]
Current State: 43:[45, 79, 36, 41], Operations: [] Exploring Operation: 79-45=34, Resulting Numbers: [36, 41, 34] Generated Node #2: [36, 41, 34] from Operation: 79-45=34 Current State: 43:[36, 41, 34], Operations: ['79-45=34'] Exploring Operation: 36+41=77, Resulting Numbers: [34, 77] Generated Node #3: [34, 77] from Operation: 36+41=77 Current State: 43:[34, 77], Operations: ['79-45=34', '36+41=77'] Exploring Operation: 77-34=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 76, 73, 17, 36 ]
29
[ "76-73=3", "36/3=12", "17+12=29" ]
Current State: 29:[76, 73, 17, 36], Operations: [] Exploring Operation: 76-73=3, Resulting Numbers: [17, 36, 3] Generated Node #2: [17, 36, 3] from Operation: 76-73=3 Current State: 29:[17, 36, 3], Operations: ['76-73=3'] Exploring Operation: 36/3=12, Resulting Numbers: [17, 12] Generated Node #3: [17, 12] from Operation: 36/3=12 Current State: 29:[17, 12], Operations: ['76-73=3', '36/3=12'] Exploring Operation: 17+12=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 63, 58, 24, 81 ]
54
[ "63+24=87", "58*81=4698", "4698/87=54" ]
Current State: 54:[63, 58, 24, 81], Operations: [] Exploring Operation: 63+24=87, Resulting Numbers: [58, 81, 87] Generated Node #2: [58, 81, 87] from Operation: 63+24=87 Current State: 54:[58, 81, 87], Operations: ['63+24=87'] Exploring Operation: 58*81=4698, Resulting Numbers: [87, 4698] Generated Node #3: [87, 4698] from Operation: 58*81=4698 Current State: 54:[87, 4698], Operations: ['63+24=87', '58*81=4698'] Exploring Operation: 4698/87=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 47, 10, 95, 25 ]
15
[ "47+10=57", "25*57=1425", "1425/95=15" ]
Current State: 15:[47, 10, 95, 25], Operations: [] Exploring Operation: 47+10=57, Resulting Numbers: [95, 25, 57] Generated Node #2: [95, 25, 57] from Operation: 47+10=57 Current State: 15:[95, 25, 57], Operations: ['47+10=57'] Exploring Operation: 25*57=1425, Resulting Numbers: [95, 1425] Generated Node #3: [95, 1425] from Operation: 25*57=1425 Current State: 15:[95, 1425], Operations: ['47+10=57', '25*57=1425'] Exploring Operation: 1425/95=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 54, 4, 23, 55 ]
62
[ "55-23=32", "32/4=8", "54+8=62" ]
Current State: 62:[54, 4, 23, 55], Operations: [] Exploring Operation: 55-23=32, Resulting Numbers: [54, 4, 32] Generated Node #2: [54, 4, 32] from Operation: 55-23=32 Current State: 62:[54, 4, 32], Operations: ['55-23=32'] Exploring Operation: 32/4=8, Resulting Numbers: [54, 8] Generated Node #3: [54, 8] from Operation: 32/4=8 Current State: 62:[54, 8], Operations: ['55-23=32', '32/4=8'] Exploring Operation: 54+8=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 67, 69, 97, 14 ]
65
[ "97-69=28", "28/14=2", "67-2=65" ]
Current State: 65:[67, 69, 97, 14], Operations: [] Exploring Operation: 97-69=28, Resulting Numbers: [67, 14, 28] Generated Node #2: [67, 14, 28] from Operation: 97-69=28 Current State: 65:[67, 14, 28], Operations: ['97-69=28'] Exploring Operation: 28/14=2, Resulting Numbers: [67, 2] Generated Node #3: [67, 2] from Operation: 28/14=2 Current State: 65:[67, 2], Operations: ['97-69=28', '28/14=2'] Exploring Operation: 67-2=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 92, 87, 39, 89 ]
68
[ "92-89=3", "87/3=29", "39+29=68" ]
Current State: 68:[92, 87, 39, 89], Operations: [] Exploring Operation: 92-89=3, Resulting Numbers: [87, 39, 3] Generated Node #2: [87, 39, 3] from Operation: 92-89=3 Current State: 68:[87, 39, 3], Operations: ['92-89=3'] Exploring Operation: 87/3=29, Resulting Numbers: [39, 29] Generated Node #3: [39, 29] from Operation: 87/3=29 Current State: 68:[39, 29], Operations: ['92-89=3', '87/3=29'] Exploring Operation: 39+29=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 81, 57, 89, 1 ]
48
[ "81+57=138", "89+1=90", "138-90=48" ]
Current State: 48:[81, 57, 89, 1], Operations: [] Exploring Operation: 81+57=138, Resulting Numbers: [89, 1, 138] Generated Node #2: [89, 1, 138] from Operation: 81+57=138 Current State: 48:[89, 1, 138], Operations: ['81+57=138'] Exploring Operation: 89+1=90, Resulting Numbers: [138, 90] Generated Node #3: [138, 90] from Operation: 89+1=90 Current State: 48:[138, 90], Operations: ['81+57=138', '89+1=90'] Exploring Operation: 138-90=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 9, 45, 78, 1 ]
73
[ "45/9=5", "78*1=78", "78-5=73" ]
Current State: 73:[9, 45, 78, 1], Operations: [] Exploring Operation: 45/9=5, Resulting Numbers: [78, 1, 5] Generated Node #2: [78, 1, 5] from Operation: 45/9=5 Current State: 73:[78, 1, 5], Operations: ['45/9=5'] Exploring Operation: 78*1=78, Resulting Numbers: [5, 78] Generated Node #3: [5, 78] from Operation: 78*1=78 Current State: 73:[5, 78], Operations: ['45/9=5', '78*1=78'] Exploring Operation: 78-5=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 64, 80, 39, 48 ]
78
[ "64*39=2496", "80-48=32", "2496/32=78" ]
Current State: 78:[64, 80, 39, 48], Operations: [] Exploring Operation: 64*39=2496, Resulting Numbers: [80, 48, 2496] Generated Node #2: [80, 48, 2496] from Operation: 64*39=2496 Current State: 78:[80, 48, 2496], Operations: ['64*39=2496'] Exploring Operation: 80-48=32, Resulting Numbers: [2496, 32] Generated Node #3: [2496, 32] from Operation: 80-48=32 Current State: 78:[2496, 32], Operations: ['64*39=2496', '80-48=32'] Exploring Operation: 2496/32=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 51, 29, 7, 98 ]
49
[ "51+7=58", "29*98=2842", "2842/58=49" ]
Current State: 49:[51, 29, 7, 98], Operations: [] Exploring Operation: 51+7=58, Resulting Numbers: [29, 98, 58] Generated Node #2: [29, 98, 58] from Operation: 51+7=58 Current State: 49:[29, 98, 58], Operations: ['51+7=58'] Exploring Operation: 29*98=2842, Resulting Numbers: [58, 2842] Generated Node #3: [58, 2842] from Operation: 29*98=2842 Current State: 49:[58, 2842], Operations: ['51+7=58', '29*98=2842'] Exploring Operation: 2842/58=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 48, 36, 7, 57 ]
48
[ "7+57=64", "36*64=2304", "2304/48=48" ]
Current State: 48:[48, 36, 7, 57], Operations: [] Exploring Operation: 7+57=64, Resulting Numbers: [48, 36, 64] Generated Node #2: [48, 36, 64] from Operation: 7+57=64 Current State: 48:[48, 36, 64], Operations: ['7+57=64'] Exploring Operation: 36*64=2304, Resulting Numbers: [48, 2304] Generated Node #3: [48, 2304] from Operation: 36*64=2304 Current State: 48:[48, 2304], Operations: ['7+57=64', '36*64=2304'] Exploring Operation: 2304/48=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 49, 46, 3, 10 ]
33
[ "49-46=3", "3*10=30", "3+30=33" ]
Current State: 33:[49, 46, 3, 10], Operations: [] Exploring Operation: 49-46=3, Resulting Numbers: [3, 10, 3] Generated Node #2: [3, 10, 3] from Operation: 49-46=3 Current State: 33:[3, 10, 3], Operations: ['49-46=3'] Exploring Operation: 3*10=30, Resulting Numbers: [30] 30,33 equal: Goal Reached Exploring Operation: 3+30=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 85, 61, 2, 74 ]
100
[ "85-61=24", "2+74=76", "24+76=100" ]
Current State: 100:[85, 61, 2, 74], Operations: [] Exploring Operation: 85-61=24, Resulting Numbers: [2, 74, 24] Generated Node #2: [2, 74, 24] from Operation: 85-61=24 Current State: 100:[2, 74, 24], Operations: ['85-61=24'] Exploring Operation: 2+74=76, Resulting Numbers: [24, 76] Generated Node #3: [24, 76] from Operation: 2+74=76 Current State: 100:[24, 76], Operations: ['85-61=24', '2+74=76'] Exploring Operation: 24+76=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 66, 3, 3, 57 ]
44
[ "66-3=63", "57/3=19", "63-19=44" ]
Current State: 44:[66, 3, 3, 57], Operations: [] Exploring Operation: 66-3=63, Resulting Numbers: [57, 63] Generated Node #2: [57, 63] from Operation: 66-3=63 Current State: 44:[57, 63], Operations: ['66-3=63'] Exploring Operation: 57/3=19, Resulting Numbers: [63, 19] Generated Node #3: [63, 19] from Operation: 57/3=19 Current State: 44:[63, 19], Operations: ['66-3=63', '57/3=19'] Exploring Operation: 63-19=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 64, 10, 2, 16 ]
100
[ "64+16=80", "10*2=20", "80+20=100" ]
Current State: 100:[64, 10, 2, 16], Operations: [] Exploring Operation: 64+16=80, Resulting Numbers: [10, 2, 80] Generated Node #2: [10, 2, 80] from Operation: 64+16=80 Current State: 100:[10, 2, 80], Operations: ['64+16=80'] Exploring Operation: 10*2=20, Resulting Numbers: [80, 20] Generated Node #3: [80, 20] from Operation: 10*2=20 Current State: 100:[80, 20], Operations: ['64+16=80', '10*2=20'] Exploring Operation: 80+20=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 31, 60, 83, 81 ]
89
[ "31+60=91", "83-81=2", "91-2=89" ]
Current State: 89:[31, 60, 83, 81], Operations: [] Exploring Operation: 31+60=91, Resulting Numbers: [83, 81, 91] Generated Node #2: [83, 81, 91] from Operation: 31+60=91 Current State: 89:[83, 81, 91], Operations: ['31+60=91'] Exploring Operation: 83-81=2, Resulting Numbers: [91, 2] Generated Node #3: [91, 2] from Operation: 83-81=2 Current State: 89:[91, 2], Operations: ['31+60=91', '83-81=2'] Exploring Operation: 91-2=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 47, 63, 47, 62 ]
47
[ "47*63=2961", "47*62=2914", "2961-2914=47" ]
Current State: 47:[47, 63, 47, 62], Operations: [] Exploring Operation: 47*63=2961, Resulting Numbers: [62, 2961] Generated Node #2: [62, 2961] from Operation: 47*63=2961 Current State: 47:[62, 2961], Operations: ['47*63=2961'] Exploring Operation: 47*62=2914, Resulting Numbers: [2961, 2914] Generated Node #3: [2961, 2914] from Operation: 47*62=2914 Current State: 47:[2961, 2914], Operations: ['47*63=2961', '47*62=2914'] Exploring Operation: 2961-2914=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 18, 35, 74, 22 ]
69
[ "35-18=17", "74-22=52", "17+52=69" ]
Current State: 69:[18, 35, 74, 22], Operations: [] Exploring Operation: 35-18=17, Resulting Numbers: [74, 22, 17] Generated Node #2: [74, 22, 17] from Operation: 35-18=17 Current State: 69:[74, 22, 17], Operations: ['35-18=17'] Exploring Operation: 74-22=52, Resulting Numbers: [17, 52] Generated Node #3: [17, 52] from Operation: 74-22=52 Current State: 69:[17, 52], Operations: ['35-18=17', '74-22=52'] Exploring Operation: 17+52=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 97, 1, 18, 5 ]
25
[ "5-1=4", "18*4=72", "97-72=25" ]
Current State: 25:[97, 1, 18, 5], Operations: [] Exploring Operation: 5-1=4, Resulting Numbers: [97, 18, 4] Generated Node #2: [97, 18, 4] from Operation: 5-1=4 Current State: 25:[97, 18, 4], Operations: ['5-1=4'] Exploring Operation: 18*4=72, Resulting Numbers: [97, 72] Generated Node #3: [97, 72] from Operation: 18*4=72 Current State: 25:[97, 72], Operations: ['5-1=4', '18*4=72'] Exploring Operation: 97-72=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 4, 11, 85, 46 ]
88
[ "4*46=184", "11+85=96", "184-96=88" ]
Current State: 88:[4, 11, 85, 46], Operations: [] Exploring Operation: 4*46=184, Resulting Numbers: [11, 85, 184] Generated Node #2: [11, 85, 184] from Operation: 4*46=184 Current State: 88:[11, 85, 184], Operations: ['4*46=184'] Exploring Operation: 11+85=96, Resulting Numbers: [184, 96] Generated Node #3: [184, 96] from Operation: 11+85=96 Current State: 88:[184, 96], Operations: ['4*46=184', '11+85=96'] Exploring Operation: 184-96=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 8, 3, 47, 63 ]
27
[ "8+3=11", "63-47=16", "11+16=27" ]
Current State: 27:[8, 3, 47, 63], Operations: [] Exploring Operation: 8+3=11, Resulting Numbers: [47, 63, 11] Generated Node #2: [47, 63, 11] from Operation: 8+3=11 Current State: 27:[47, 63, 11], Operations: ['8+3=11'] Exploring Operation: 63-47=16, Resulting Numbers: [11, 16] Generated Node #3: [11, 16] from Operation: 63-47=16 Current State: 27:[11, 16], Operations: ['8+3=11', '63-47=16'] Exploring Operation: 11+16=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 14, 28, 84, 33 ]
41
[ "28+84=112", "112/14=8", "33+8=41" ]
Current State: 41:[14, 28, 84, 33], Operations: [] Exploring Operation: 28+84=112, Resulting Numbers: [14, 33, 112] Generated Node #2: [14, 33, 112] from Operation: 28+84=112 Current State: 41:[14, 33, 112], Operations: ['28+84=112'] Exploring Operation: 112/14=8, Resulting Numbers: [33, 8] Generated Node #3: [33, 8] from Operation: 112/14=8 Current State: 41:[33, 8], Operations: ['28+84=112', '112/14=8'] Exploring Operation: 33+8=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 43, 39, 75, 68 ]
28
[ "43-39=4", "75-68=7", "4*7=28" ]
Current State: 28:[43, 39, 75, 68], Operations: [] Exploring Operation: 43-39=4, Resulting Numbers: [75, 68, 4] Generated Node #2: [75, 68, 4] from Operation: 43-39=4 Current State: 28:[75, 68, 4], Operations: ['43-39=4'] Exploring Operation: 75-68=7, Resulting Numbers: [4, 7] Generated Node #3: [4, 7] from Operation: 75-68=7 Current State: 28:[4, 7], Operations: ['43-39=4', '75-68=7'] Exploring Operation: 4*7=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 72, 11, 56, 13 ]
80
[ "72*13=936", "936-56=880", "880/11=80" ]
Current State: 80:[72, 11, 56, 13], Operations: [] Exploring Operation: 72*13=936, Resulting Numbers: [11, 56, 936] Generated Node #2: [11, 56, 936] from Operation: 72*13=936 Current State: 80:[11, 56, 936], Operations: ['72*13=936'] Exploring Operation: 936-56=880, Resulting Numbers: [11, 880] Generated Node #3: [11, 880] from Operation: 936-56=880 Current State: 80:[11, 880], Operations: ['72*13=936', '936-56=880'] Exploring Operation: 880/11=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 34, 87, 94, 74 ]
47
[ "34+87=121", "94+74=168", "168-121=47" ]
Current State: 47:[34, 87, 94, 74], Operations: [] Exploring Operation: 34+87=121, Resulting Numbers: [94, 74, 121] Generated Node #2: [94, 74, 121] from Operation: 34+87=121 Current State: 47:[94, 74, 121], Operations: ['34+87=121'] Exploring Operation: 94+74=168, Resulting Numbers: [121, 168] Generated Node #3: [121, 168] from Operation: 94+74=168 Current State: 47:[121, 168], Operations: ['34+87=121', '94+74=168'] Exploring Operation: 168-121=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 43, 36, 4, 12 ]
71
[ "43+36=79", "12-4=8", "79-8=71" ]
Current State: 71:[43, 36, 4, 12], Operations: [] Exploring Operation: 43+36=79, Resulting Numbers: [4, 12, 79] Generated Node #2: [4, 12, 79] from Operation: 43+36=79 Current State: 71:[4, 12, 79], Operations: ['43+36=79'] Exploring Operation: 12-4=8, Resulting Numbers: [79, 8] Generated Node #3: [79, 8] from Operation: 12-4=8 Current State: 71:[79, 8], Operations: ['43+36=79', '12-4=8'] Exploring Operation: 79-8=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 49, 36, 26, 23 ]
28
[ "49+23=72", "72/36=2", "26+2=28" ]
Current State: 28:[49, 36, 26, 23], Operations: [] Exploring Operation: 49+23=72, Resulting Numbers: [36, 26, 72] Generated Node #2: [36, 26, 72] from Operation: 49+23=72 Current State: 28:[36, 26, 72], Operations: ['49+23=72'] Exploring Operation: 72/36=2, Resulting Numbers: [26, 2] Generated Node #3: [26, 2] from Operation: 72/36=2 Current State: 28:[26, 2], Operations: ['49+23=72', '72/36=2'] Exploring Operation: 26+2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 78, 68, 26, 85 ]
35
[ "78+68=146", "26+85=111", "146-111=35" ]
Current State: 35:[78, 68, 26, 85], Operations: [] Exploring Operation: 78+68=146, Resulting Numbers: [26, 85, 146] Generated Node #2: [26, 85, 146] from Operation: 78+68=146 Current State: 35:[26, 85, 146], Operations: ['78+68=146'] Exploring Operation: 26+85=111, Resulting Numbers: [146, 111] Generated Node #3: [146, 111] from Operation: 26+85=111 Current State: 35:[146, 111], Operations: ['78+68=146', '26+85=111'] Exploring Operation: 146-111=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 23, 23, 77, 2 ]
38
[ "23/23=1", "77-1=76", "76/2=38" ]
Current State: 38:[23, 23, 77, 2], Operations: [] Exploring Operation: 23/23=1, Resulting Numbers: [77, 2, 1] Generated Node #2: [77, 2, 1] from Operation: 23/23=1 Current State: 38:[77, 2, 1], Operations: ['23/23=1'] Exploring Operation: 77-1=76, Resulting Numbers: [2, 76] Generated Node #3: [2, 76] from Operation: 77-1=76 Current State: 38:[2, 76], Operations: ['23/23=1', '77-1=76'] Exploring Operation: 76/2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 39, 11, 27, 97 ]
98
[ "39-11=28", "97-27=70", "28+70=98" ]
Current State: 98:[39, 11, 27, 97], Operations: [] Exploring Operation: 39-11=28, Resulting Numbers: [27, 97, 28] Generated Node #2: [27, 97, 28] from Operation: 39-11=28 Current State: 98:[27, 97, 28], Operations: ['39-11=28'] Exploring Operation: 97-27=70, Resulting Numbers: [28, 70] Generated Node #3: [28, 70] from Operation: 97-27=70 Current State: 98:[28, 70], Operations: ['39-11=28', '97-27=70'] Exploring Operation: 28+70=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 10, 42, 96, 10 ]
54
[ "10+42=52", "96+10=106", "106-52=54" ]
Current State: 54:[10, 42, 96, 10], Operations: [] Exploring Operation: 10+42=52, Resulting Numbers: [96, 52] Generated Node #2: [96, 52] from Operation: 10+42=52 Current State: 54:[96, 52], Operations: ['10+42=52'] Exploring Operation: 96+10=106, Resulting Numbers: [52, 106] Generated Node #3: [52, 106] from Operation: 96+10=106 Current State: 54:[52, 106], Operations: ['10+42=52', '96+10=106'] Exploring Operation: 106-52=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 47, 83, 74, 82 ]
28
[ "83-47=36", "82-74=8", "36-8=28" ]
Current State: 28:[47, 83, 74, 82], Operations: [] Exploring Operation: 83-47=36, Resulting Numbers: [74, 82, 36] Generated Node #2: [74, 82, 36] from Operation: 83-47=36 Current State: 28:[74, 82, 36], Operations: ['83-47=36'] Exploring Operation: 82-74=8, Resulting Numbers: [36, 8] Generated Node #3: [36, 8] from Operation: 82-74=8 Current State: 28:[36, 8], Operations: ['83-47=36', '82-74=8'] Exploring Operation: 36-8=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 77, 75, 2, 4 ]
74
[ "77+75=152", "152-4=148", "148/2=74" ]
Current State: 74:[77, 75, 2, 4], Operations: [] Exploring Operation: 77+75=152, Resulting Numbers: [2, 4, 152] Generated Node #2: [2, 4, 152] from Operation: 77+75=152 Current State: 74:[2, 4, 152], Operations: ['77+75=152'] Exploring Operation: 152-4=148, Resulting Numbers: [2, 148] Generated Node #3: [2, 148] from Operation: 152-4=148 Current State: 74:[2, 148], Operations: ['77+75=152', '152-4=148'] Exploring Operation: 148/2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 22, 34, 18, 86 ]
13
[ "22-18=4", "86-34=52", "52/4=13" ]
Current State: 13:[22, 34, 18, 86], Operations: [] Exploring Operation: 22-18=4, Resulting Numbers: [34, 86, 4] Generated Node #2: [34, 86, 4] from Operation: 22-18=4 Current State: 13:[34, 86, 4], Operations: ['22-18=4'] Exploring Operation: 86-34=52, Resulting Numbers: [4, 52] Generated Node #3: [4, 52] from Operation: 86-34=52 Current State: 13:[4, 52], Operations: ['22-18=4', '86-34=52'] Exploring Operation: 52/4=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 94, 81, 31, 92 ]
48
[ "94-81=13", "92-31=61", "61-13=48" ]
Current State: 48:[94, 81, 31, 92], Operations: [] Exploring Operation: 94-81=13, Resulting Numbers: [31, 92, 13] Generated Node #2: [31, 92, 13] from Operation: 94-81=13 Current State: 48:[31, 92, 13], Operations: ['94-81=13'] Exploring Operation: 92-31=61, Resulting Numbers: [13, 61] Generated Node #3: [13, 61] from Operation: 92-31=61 Current State: 48:[13, 61], Operations: ['94-81=13', '92-31=61'] Exploring Operation: 61-13=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 34, 7, 32, 16 ]
75
[ "34-7=27", "32+16=48", "27+48=75" ]
Current State: 75:[34, 7, 32, 16], Operations: [] Exploring Operation: 34-7=27, Resulting Numbers: [32, 16, 27] Generated Node #2: [32, 16, 27] from Operation: 34-7=27 Current State: 75:[32, 16, 27], Operations: ['34-7=27'] Exploring Operation: 32+16=48, Resulting Numbers: [27, 48] Generated Node #3: [27, 48] from Operation: 32+16=48 Current State: 75:[27, 48], Operations: ['34-7=27', '32+16=48'] Exploring Operation: 27+48=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 6, 20, 23, 8 ]
51
[ "6*8=48", "23-20=3", "48+3=51" ]
Current State: 51:[6, 20, 23, 8], Operations: [] Exploring Operation: 6*8=48, Resulting Numbers: [20, 23, 48] Generated Node #2: [20, 23, 48] from Operation: 6*8=48 Current State: 51:[20, 23, 48], Operations: ['6*8=48'] Exploring Operation: 23-20=3, Resulting Numbers: [48, 3] Generated Node #3: [48, 3] from Operation: 23-20=3 Current State: 51:[48, 3], Operations: ['6*8=48', '23-20=3'] Exploring Operation: 48+3=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 4, 99, 21, 91 ]
53
[ "99-91=8", "4*8=32", "21+32=53" ]
Current State: 53:[4, 99, 21, 91], Operations: [] Exploring Operation: 99-91=8, Resulting Numbers: [4, 21, 8] Generated Node #2: [4, 21, 8] from Operation: 99-91=8 Current State: 53:[4, 21, 8], Operations: ['99-91=8'] Exploring Operation: 4*8=32, Resulting Numbers: [21, 32] Generated Node #3: [21, 32] from Operation: 4*8=32 Current State: 53:[21, 32], Operations: ['99-91=8', '4*8=32'] Exploring Operation: 21+32=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 48, 34, 82, 65 ]
96
[ "48*34=1632", "82-65=17", "1632/17=96" ]
Current State: 96:[48, 34, 82, 65], Operations: [] Exploring Operation: 48*34=1632, Resulting Numbers: [82, 65, 1632] Generated Node #2: [82, 65, 1632] from Operation: 48*34=1632 Current State: 96:[82, 65, 1632], Operations: ['48*34=1632'] Exploring Operation: 82-65=17, Resulting Numbers: [1632, 17] Generated Node #3: [1632, 17] from Operation: 82-65=17 Current State: 96:[1632, 17], Operations: ['48*34=1632', '82-65=17'] Exploring Operation: 1632/17=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 89, 15, 9, 28 ]
37
[ "89-15=74", "9+28=37", "74-37=37" ]
Current State: 37:[89, 15, 9, 28], Operations: [] Exploring Operation: 89-15=74, Resulting Numbers: [9, 28, 74] Generated Node #2: [9, 28, 74] from Operation: 89-15=74 Current State: 37:[9, 28, 74], Operations: ['89-15=74'] Exploring Operation: 9+28=37, Resulting Numbers: [74, 37] Generated Node #3: [74, 37] from Operation: 9+28=37 Current State: 37:[74, 37], Operations: ['89-15=74', '9+28=37'] Exploring Operation: 74-37=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 26, 10, 8, 40 ]
68
[ "26+10=36", "40-8=32", "36+32=68" ]
Current State: 68:[26, 10, 8, 40], Operations: [] Exploring Operation: 26+10=36, Resulting Numbers: [8, 40, 36] Generated Node #2: [8, 40, 36] from Operation: 26+10=36 Current State: 68:[8, 40, 36], Operations: ['26+10=36'] Exploring Operation: 40-8=32, Resulting Numbers: [36, 32] Generated Node #3: [36, 32] from Operation: 40-8=32 Current State: 68:[36, 32], Operations: ['26+10=36', '40-8=32'] Exploring Operation: 36+32=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 39, 31, 21, 68 ]
100
[ "39-31=8", "21*8=168", "168-68=100" ]
Current State: 100:[39, 31, 21, 68], Operations: [] Exploring Operation: 39-31=8, Resulting Numbers: [21, 68, 8] Generated Node #2: [21, 68, 8] from Operation: 39-31=8 Current State: 100:[21, 68, 8], Operations: ['39-31=8'] Exploring Operation: 21*8=168, Resulting Numbers: [68, 168] Generated Node #3: [68, 168] from Operation: 21*8=168 Current State: 100:[68, 168], Operations: ['39-31=8', '21*8=168'] Exploring Operation: 168-68=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 39, 60, 3, 66 ]
59
[ "60-39=21", "21/3=7", "66-7=59" ]
Current State: 59:[39, 60, 3, 66], Operations: [] Exploring Operation: 60-39=21, Resulting Numbers: [3, 66, 21] Generated Node #2: [3, 66, 21] from Operation: 60-39=21 Current State: 59:[3, 66, 21], Operations: ['60-39=21'] Exploring Operation: 21/3=7, Resulting Numbers: [66, 7] Generated Node #3: [66, 7] from Operation: 21/3=7 Current State: 59:[66, 7], Operations: ['60-39=21', '21/3=7'] Exploring Operation: 66-7=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 30, 38, 30, 8 ]
94
[ "38-30=8", "8*8=64", "30+64=94" ]
Current State: 94:[30, 38, 30, 8], Operations: [] Exploring Operation: 38-30=8, Resulting Numbers: [8, 8] Generated Node #2: [8, 8] from Operation: 38-30=8 Current State: 94:[8, 8], Operations: ['38-30=8'] Exploring Operation: 8*8=64, Resulting Numbers: [64] 64,94 equal: Goal Reached Exploring Operation: 30+64=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 20, 24, 20, 11 ]
14
[ "20/20=1", "24-11=13", "1+13=14" ]
Current State: 14:[20, 24, 20, 11], Operations: [] Exploring Operation: 20/20=1, Resulting Numbers: [24, 11, 1] Generated Node #2: [24, 11, 1] from Operation: 20/20=1 Current State: 14:[24, 11, 1], Operations: ['20/20=1'] Exploring Operation: 24-11=13, Resulting Numbers: [1, 13] Generated Node #3: [1, 13] from Operation: 24-11=13 Current State: 14:[1, 13], Operations: ['20/20=1', '24-11=13'] Exploring Operation: 1+13=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 94, 87, 18, 95 ]
14
[ "94+18=112", "95-87=8", "112/8=14" ]
Current State: 14:[94, 87, 18, 95], Operations: [] Exploring Operation: 94+18=112, Resulting Numbers: [87, 95, 112] Generated Node #2: [87, 95, 112] from Operation: 94+18=112 Current State: 14:[87, 95, 112], Operations: ['94+18=112'] Exploring Operation: 95-87=8, Resulting Numbers: [112, 8] Generated Node #3: [112, 8] from Operation: 95-87=8 Current State: 14:[112, 8], Operations: ['94+18=112', '95-87=8'] Exploring Operation: 112/8=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 49, 91, 94, 44 ]
96
[ "91-49=42", "94+44=138", "138-42=96" ]
Current State: 96:[49, 91, 94, 44], Operations: [] Exploring Operation: 91-49=42, Resulting Numbers: [94, 44, 42] Generated Node #2: [94, 44, 42] from Operation: 91-49=42 Current State: 96:[94, 44, 42], Operations: ['91-49=42'] Exploring Operation: 94+44=138, Resulting Numbers: [42, 138] Generated Node #3: [42, 138] from Operation: 94+44=138 Current State: 96:[42, 138], Operations: ['91-49=42', '94+44=138'] Exploring Operation: 138-42=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 6, 45, 10, 9 ]
96
[ "6*10=60", "45-9=36", "60+36=96" ]
Current State: 96:[6, 45, 10, 9], Operations: [] Exploring Operation: 6*10=60, Resulting Numbers: [45, 9, 60] Generated Node #2: [45, 9, 60] from Operation: 6*10=60 Current State: 96:[45, 9, 60], Operations: ['6*10=60'] Exploring Operation: 45-9=36, Resulting Numbers: [60, 36] Generated Node #3: [60, 36] from Operation: 45-9=36 Current State: 96:[60, 36], Operations: ['6*10=60', '45-9=36'] Exploring Operation: 60+36=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 55, 3, 19, 91 ]
58
[ "55-3=52", "19+91=110", "110-52=58" ]
Current State: 58:[55, 3, 19, 91], Operations: [] Exploring Operation: 55-3=52, Resulting Numbers: [19, 91, 52] Generated Node #2: [19, 91, 52] from Operation: 55-3=52 Current State: 58:[19, 91, 52], Operations: ['55-3=52'] Exploring Operation: 19+91=110, Resulting Numbers: [52, 110] Generated Node #3: [52, 110] from Operation: 19+91=110 Current State: 58:[52, 110], Operations: ['55-3=52', '19+91=110'] Exploring Operation: 110-52=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 17, 28, 3, 51 ]
93
[ "17+28=45", "51-3=48", "45+48=93" ]
Current State: 93:[17, 28, 3, 51], Operations: [] Exploring Operation: 17+28=45, Resulting Numbers: [3, 51, 45] Generated Node #2: [3, 51, 45] from Operation: 17+28=45 Current State: 93:[3, 51, 45], Operations: ['17+28=45'] Exploring Operation: 51-3=48, Resulting Numbers: [45, 48] Generated Node #3: [45, 48] from Operation: 51-3=48 Current State: 93:[45, 48], Operations: ['17+28=45', '51-3=48'] Exploring Operation: 45+48=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 29, 58, 74, 42 ]
55
[ "29+58=87", "74-42=32", "87-32=55" ]
Current State: 55:[29, 58, 74, 42], Operations: [] Exploring Operation: 29+58=87, Resulting Numbers: [74, 42, 87] Generated Node #2: [74, 42, 87] from Operation: 29+58=87 Current State: 55:[74, 42, 87], Operations: ['29+58=87'] Exploring Operation: 74-42=32, Resulting Numbers: [87, 32] Generated Node #3: [87, 32] from Operation: 74-42=32 Current State: 55:[87, 32], Operations: ['29+58=87', '74-42=32'] Exploring Operation: 87-32=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 87, 14, 90, 78 ]
75
[ "90+78=168", "168/14=12", "87-12=75" ]
Current State: 75:[87, 14, 90, 78], Operations: [] Exploring Operation: 90+78=168, Resulting Numbers: [87, 14, 168] Generated Node #2: [87, 14, 168] from Operation: 90+78=168 Current State: 75:[87, 14, 168], Operations: ['90+78=168'] Exploring Operation: 168/14=12, Resulting Numbers: [87, 12] Generated Node #3: [87, 12] from Operation: 168/14=12 Current State: 75:[87, 12], Operations: ['90+78=168', '168/14=12'] Exploring Operation: 87-12=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 94, 57, 35, 25 ]
17
[ "35*25=875", "94+875=969", "969/57=17" ]
Current State: 17:[94, 57, 35, 25], Operations: [] Exploring Operation: 35*25=875, Resulting Numbers: [94, 57, 875] Generated Node #2: [94, 57, 875] from Operation: 35*25=875 Current State: 17:[94, 57, 875], Operations: ['35*25=875'] Exploring Operation: 94+875=969, Resulting Numbers: [57, 969] Generated Node #3: [57, 969] from Operation: 94+875=969 Current State: 17:[57, 969], Operations: ['35*25=875', '94+875=969'] Exploring Operation: 969/57=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 8, 52, 52, 37 ]
29
[ "8+52=60", "52+37=89", "89-60=29" ]
Current State: 29:[8, 52, 52, 37], Operations: [] Exploring Operation: 8+52=60, Resulting Numbers: [37, 60] Generated Node #2: [37, 60] from Operation: 8+52=60 Current State: 29:[37, 60], Operations: ['8+52=60'] Exploring Operation: 52+37=89, Resulting Numbers: [60, 89] Generated Node #3: [60, 89] from Operation: 52+37=89 Current State: 29:[60, 89], Operations: ['8+52=60', '52+37=89'] Exploring Operation: 89-60=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 42, 99, 99, 6 ]
35
[ "42-6=36", "99/99=1", "36-1=35" ]
Current State: 35:[42, 99, 99, 6], Operations: [] Exploring Operation: 42-6=36, Resulting Numbers: [99, 99, 36] Generated Node #2: [99, 99, 36] from Operation: 42-6=36 Current State: 35:[99, 99, 36], Operations: ['42-6=36'] Exploring Operation: 99/99=1, Resulting Numbers: [36, 1] Generated Node #3: [36, 1] from Operation: 99/99=1 Current State: 35:[36, 1], Operations: ['42-6=36', '99/99=1'] Exploring Operation: 36-1=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 85, 53, 86, 73 ]
82
[ "86+73=159", "159/53=3", "85-3=82" ]
Current State: 82:[85, 53, 86, 73], Operations: [] Exploring Operation: 86+73=159, Resulting Numbers: [85, 53, 159] Generated Node #2: [85, 53, 159] from Operation: 86+73=159 Current State: 82:[85, 53, 159], Operations: ['86+73=159'] Exploring Operation: 159/53=3, Resulting Numbers: [85, 3] Generated Node #3: [85, 3] from Operation: 159/53=3 Current State: 82:[85, 3], Operations: ['86+73=159', '159/53=3'] Exploring Operation: 85-3=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 39, 27, 31, 38 ]
19
[ "39-27=12", "38-31=7", "12+7=19" ]
Current State: 19:[39, 27, 31, 38], Operations: [] Exploring Operation: 39-27=12, Resulting Numbers: [31, 38, 12] Generated Node #2: [31, 38, 12] from Operation: 39-27=12 Current State: 19:[31, 38, 12], Operations: ['39-27=12'] Exploring Operation: 38-31=7, Resulting Numbers: [12, 7] Generated Node #3: [12, 7] from Operation: 38-31=7 Current State: 19:[12, 7], Operations: ['39-27=12', '38-31=7'] Exploring Operation: 12+7=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 97, 28, 40, 75 ]
34
[ "97-28=69", "75-40=35", "69-35=34" ]
Current State: 34:[97, 28, 40, 75], Operations: [] Exploring Operation: 97-28=69, Resulting Numbers: [40, 75, 69] Generated Node #2: [40, 75, 69] from Operation: 97-28=69 Current State: 34:[40, 75, 69], Operations: ['97-28=69'] Exploring Operation: 75-40=35, Resulting Numbers: [69, 35] Generated Node #3: [69, 35] from Operation: 75-40=35 Current State: 34:[69, 35], Operations: ['97-28=69', '75-40=35'] Exploring Operation: 69-35=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 30, 15, 41, 47 ]
60
[ "47-41=6", "15*6=90", "90-30=60" ]
Current State: 60:[30, 15, 41, 47], Operations: [] Exploring Operation: 47-41=6, Resulting Numbers: [30, 15, 6] Generated Node #2: [30, 15, 6] from Operation: 47-41=6 Current State: 60:[30, 15, 6], Operations: ['47-41=6'] Exploring Operation: 15*6=90, Resulting Numbers: [30, 90] Generated Node #3: [30, 90] from Operation: 15*6=90 Current State: 60:[30, 90], Operations: ['47-41=6', '15*6=90'] Exploring Operation: 90-30=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 46, 34, 56, 27 ]
52
[ "46*34=1564", "56*27=1512", "1564-1512=52" ]
Current State: 52:[46, 34, 56, 27], Operations: [] Exploring Operation: 46*34=1564, Resulting Numbers: [56, 27, 1564] Generated Node #2: [56, 27, 1564] from Operation: 46*34=1564 Current State: 52:[56, 27, 1564], Operations: ['46*34=1564'] Exploring Operation: 56*27=1512, Resulting Numbers: [1564, 1512] Generated Node #3: [1564, 1512] from Operation: 56*27=1512 Current State: 52:[1564, 1512], Operations: ['46*34=1564', '56*27=1512'] Exploring Operation: 1564-1512=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 20, 61, 68, 80 ]
67
[ "20+61=81", "68+80=148", "148-81=67" ]
Current State: 67:[20, 61, 68, 80], Operations: [] Exploring Operation: 20+61=81, Resulting Numbers: [68, 80, 81] Generated Node #2: [68, 80, 81] from Operation: 20+61=81 Current State: 67:[68, 80, 81], Operations: ['20+61=81'] Exploring Operation: 68+80=148, Resulting Numbers: [81, 148] Generated Node #3: [81, 148] from Operation: 68+80=148 Current State: 67:[81, 148], Operations: ['20+61=81', '68+80=148'] Exploring Operation: 148-81=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 94, 52, 68, 86 ]
92
[ "86-52=34", "68/34=2", "94-2=92" ]
Current State: 92:[94, 52, 68, 86], Operations: [] Exploring Operation: 86-52=34, Resulting Numbers: [94, 68, 34] Generated Node #2: [94, 68, 34] from Operation: 86-52=34 Current State: 92:[94, 68, 34], Operations: ['86-52=34'] Exploring Operation: 68/34=2, Resulting Numbers: [94, 2] Generated Node #3: [94, 2] from Operation: 68/34=2 Current State: 92:[94, 2], Operations: ['86-52=34', '68/34=2'] Exploring Operation: 94-2=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 32, 16, 99, 83 ]
64
[ "32+16=48", "99-83=16", "48+16=64" ]
Current State: 64:[32, 16, 99, 83], Operations: [] Exploring Operation: 32+16=48, Resulting Numbers: [99, 83, 48] Generated Node #2: [99, 83, 48] from Operation: 32+16=48 Current State: 64:[99, 83, 48], Operations: ['32+16=48'] Exploring Operation: 99-83=16, Resulting Numbers: [48, 16] Generated Node #3: [48, 16] from Operation: 99-83=16 Current State: 64:[48, 16], Operations: ['32+16=48', '99-83=16'] Exploring Operation: 48+16=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 44, 7, 29, 37 ]
100
[ "37-29=8", "7*8=56", "44+56=100" ]
Current State: 100:[44, 7, 29, 37], Operations: [] Exploring Operation: 37-29=8, Resulting Numbers: [44, 7, 8] Generated Node #2: [44, 7, 8] from Operation: 37-29=8 Current State: 100:[44, 7, 8], Operations: ['37-29=8'] Exploring Operation: 7*8=56, Resulting Numbers: [44, 56] Generated Node #3: [44, 56] from Operation: 7*8=56 Current State: 100:[44, 56], Operations: ['37-29=8', '7*8=56'] Exploring Operation: 44+56=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 15, 60, 53, 35 ]
10
[ "60-53=7", "35/7=5", "15-5=10" ]
Current State: 10:[15, 60, 53, 35], Operations: [] Exploring Operation: 60-53=7, Resulting Numbers: [15, 35, 7] Generated Node #2: [15, 35, 7] from Operation: 60-53=7 Current State: 10:[15, 35, 7], Operations: ['60-53=7'] Exploring Operation: 35/7=5, Resulting Numbers: [15, 5] Generated Node #3: [15, 5] from Operation: 35/7=5 Current State: 10:[15, 5], Operations: ['60-53=7', '35/7=5'] Exploring Operation: 15-5=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 61, 87, 87, 25 ]
25
[ "87-87=0", "61*0=0", "25+0=25" ]
Current State: 25:[61, 87, 87, 25], Operations: [] Exploring Operation: 87-87=0, Resulting Numbers: [61, 25, 0] Generated Node #2: [61, 25, 0] from Operation: 87-87=0 Current State: 25:[61, 25, 0], Operations: ['87-87=0'] Exploring Operation: 61*0=0, Resulting Numbers: [25, 0] Generated Node #3: [25, 0] from Operation: 61*0=0 Current State: 25:[25, 0], Operations: ['87-87=0', '61*0=0'] Exploring Operation: 25+0=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 82, 7, 90, 17 ]
17
[ "82+7=89", "90-89=1", "17*1=17" ]
Current State: 17:[82, 7, 90, 17], Operations: [] Exploring Operation: 82+7=89, Resulting Numbers: [90, 17, 89] Generated Node #2: [90, 17, 89] from Operation: 82+7=89 Current State: 17:[90, 17, 89], Operations: ['82+7=89'] Exploring Operation: 90-89=1, Resulting Numbers: [17, 1] Generated Node #3: [17, 1] from Operation: 90-89=1 Current State: 17:[17, 1], Operations: ['82+7=89', '90-89=1'] Exploring Operation: 17*1=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 34, 49, 31, 57 ]
89
[ "49*57=2793", "2793-34=2759", "2759/31=89" ]
Current State: 89:[34, 49, 31, 57], Operations: [] Exploring Operation: 49*57=2793, Resulting Numbers: [34, 31, 2793] Generated Node #2: [34, 31, 2793] from Operation: 49*57=2793 Current State: 89:[34, 31, 2793], Operations: ['49*57=2793'] Exploring Operation: 2793-34=2759, Resulting Numbers: [31, 2759] Generated Node #3: [31, 2759] from Operation: 2793-34=2759 Current State: 89:[31, 2759], Operations: ['49*57=2793', '2793-34=2759'] Exploring Operation: 2759/31=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 95, 88, 77, 13 ]
83
[ "95-88=7", "77+13=90", "90-7=83" ]
Current State: 83:[95, 88, 77, 13], Operations: [] Exploring Operation: 95-88=7, Resulting Numbers: [77, 13, 7] Generated Node #2: [77, 13, 7] from Operation: 95-88=7 Current State: 83:[77, 13, 7], Operations: ['95-88=7'] Exploring Operation: 77+13=90, Resulting Numbers: [7, 90] Generated Node #3: [7, 90] from Operation: 77+13=90 Current State: 83:[7, 90], Operations: ['95-88=7', '77+13=90'] Exploring Operation: 90-7=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 69, 58, 27, 26 ]
64
[ "69-58=11", "27+26=53", "11+53=64" ]
Current State: 64:[69, 58, 27, 26], Operations: [] Exploring Operation: 69-58=11, Resulting Numbers: [27, 26, 11] Generated Node #2: [27, 26, 11] from Operation: 69-58=11 Current State: 64:[27, 26, 11], Operations: ['69-58=11'] Exploring Operation: 27+26=53, Resulting Numbers: [11, 53] Generated Node #3: [11, 53] from Operation: 27+26=53 Current State: 64:[11, 53], Operations: ['69-58=11', '27+26=53'] Exploring Operation: 11+53=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 7, 26, 59, 14 ]
72
[ "7*26=182", "182/14=13", "59+13=72" ]
Current State: 72:[7, 26, 59, 14], Operations: [] Exploring Operation: 7*26=182, Resulting Numbers: [59, 14, 182] Generated Node #2: [59, 14, 182] from Operation: 7*26=182 Current State: 72:[59, 14, 182], Operations: ['7*26=182'] Exploring Operation: 182/14=13, Resulting Numbers: [59, 13] Generated Node #3: [59, 13] from Operation: 182/14=13 Current State: 72:[59, 13], Operations: ['7*26=182', '182/14=13'] Exploring Operation: 59+13=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 58, 83, 23, 80 ]
78
[ "83-58=25", "23+80=103", "103-25=78" ]
Current State: 78:[58, 83, 23, 80], Operations: [] Exploring Operation: 83-58=25, Resulting Numbers: [23, 80, 25] Generated Node #2: [23, 80, 25] from Operation: 83-58=25 Current State: 78:[23, 80, 25], Operations: ['83-58=25'] Exploring Operation: 23+80=103, Resulting Numbers: [25, 103] Generated Node #3: [25, 103] from Operation: 23+80=103 Current State: 78:[25, 103], Operations: ['83-58=25', '23+80=103'] Exploring Operation: 103-25=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 86, 20, 61, 55 ]
10
[ "86+20=106", "61+55=116", "116-106=10" ]
Current State: 10:[86, 20, 61, 55], Operations: [] Exploring Operation: 86+20=106, Resulting Numbers: [61, 55, 106] Generated Node #2: [61, 55, 106] from Operation: 86+20=106 Current State: 10:[61, 55, 106], Operations: ['86+20=106'] Exploring Operation: 61+55=116, Resulting Numbers: [106, 116] Generated Node #3: [106, 116] from Operation: 61+55=116 Current State: 10:[106, 116], Operations: ['86+20=106', '61+55=116'] Exploring Operation: 116-106=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4