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
[ 31, 49, 13, 47 ]
57
[ "49-47=2", "13*2=26", "31+26=57" ]
Current State: 57:[31, 49, 13, 47], Operations: [] Exploring Operation: 49-47=2, Resulting Numbers: [31, 13, 2] Generated Node #2: [31, 13, 2] from Operation: 49-47=2 Current State: 57:[31, 13, 2], Operations: ['49-47=2'] Exploring Operation: 13*2=26, Resulting Numbers: [31, 26] Generated Node #3: [31, 26] from Operation: 13*2=26 Current State: 57:[31, 26], Operations: ['49-47=2', '13*2=26'] Exploring Operation: 31+26=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 89, 91, 17, 19 ]
87
[ "19-17=2", "89*2=178", "178-91=87" ]
Current State: 87:[89, 91, 17, 19], Operations: [] Exploring Operation: 19-17=2, Resulting Numbers: [89, 91, 2] Generated Node #2: [89, 91, 2] from Operation: 19-17=2 Current State: 87:[89, 91, 2], Operations: ['19-17=2'] Exploring Operation: 89*2=178, Resulting Numbers: [91, 178] Generated Node #3: [91, 178] from Operation: 89*2=178 Current State: 87:[91, 178], Operations: ['19-17=2', '89*2=178'] Exploring Operation: 178-91=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 93, 22, 68, 10 ]
55
[ "93-68=25", "22*25=550", "550/10=55" ]
Current State: 55:[93, 22, 68, 10], Operations: [] Exploring Operation: 93-68=25, Resulting Numbers: [22, 10, 25] Generated Node #2: [22, 10, 25] from Operation: 93-68=25 Current State: 55:[22, 10, 25], Operations: ['93-68=25'] Exploring Operation: 22*25=550, Resulting Numbers: [10, 550] Generated Node #3: [10, 550] from Operation: 22*25=550 Current State: 55:[10, 550], Operations: ['93-68=25', '22*25=550'] Exploring Operation: 550/10=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 41, 48, 13, 52 ]
46
[ "48-41=7", "52-13=39", "7+39=46" ]
Current State: 46:[41, 48, 13, 52], Operations: [] Exploring Operation: 48-41=7, Resulting Numbers: [13, 52, 7] Generated Node #2: [13, 52, 7] from Operation: 48-41=7 Current State: 46:[13, 52, 7], Operations: ['48-41=7'] Exploring Operation: 52-13=39, Resulting Numbers: [7, 39] Generated Node #3: [7, 39] from Operation: 52-13=39 Current State: 46:[7, 39], Operations: ['48-41=7', '52-13=39'] Exploring Operation: 7+39=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 36, 70, 87, 81 ]
76
[ "87-81=6", "36/6=6", "70+6=76" ]
Current State: 76:[36, 70, 87, 81], Operations: [] Exploring Operation: 87-81=6, Resulting Numbers: [36, 70, 6] Generated Node #2: [36, 70, 6] from Operation: 87-81=6 Current State: 76:[36, 70, 6], Operations: ['87-81=6'] Exploring Operation: 36/6=6, Resulting Numbers: [70, 6] Generated Node #3: [70, 6] from Operation: 36/6=6 Current State: 76:[70, 6], Operations: ['87-81=6', '36/6=6'] Exploring Operation: 70+6=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 94, 96, 56, 2 ]
74
[ "96-56=40", "40/2=20", "94-20=74" ]
Current State: 74:[94, 96, 56, 2], Operations: [] Exploring Operation: 96-56=40, Resulting Numbers: [94, 2, 40] Generated Node #2: [94, 2, 40] from Operation: 96-56=40 Current State: 74:[94, 2, 40], Operations: ['96-56=40'] Exploring Operation: 40/2=20, Resulting Numbers: [94, 20] Generated Node #3: [94, 20] from Operation: 40/2=20 Current State: 74:[94, 20], Operations: ['96-56=40', '40/2=20'] Exploring Operation: 94-20=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 36, 41, 2, 88 ]
15
[ "88-36=52", "52/2=26", "41-26=15" ]
Current State: 15:[36, 41, 2, 88], Operations: [] Exploring Operation: 88-36=52, Resulting Numbers: [41, 2, 52] Generated Node #2: [41, 2, 52] from Operation: 88-36=52 Current State: 15:[41, 2, 52], Operations: ['88-36=52'] Exploring Operation: 52/2=26, Resulting Numbers: [41, 26] Generated Node #3: [41, 26] from Operation: 52/2=26 Current State: 15:[41, 26], Operations: ['88-36=52', '52/2=26'] Exploring Operation: 41-26=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 99, 54, 54, 63 ]
54
[ "99-54=45", "63-54=9", "45+9=54" ]
Current State: 54:[99, 54, 54, 63], Operations: [] Exploring Operation: 99-54=45, Resulting Numbers: [63, 45] Generated Node #2: [63, 45] from Operation: 99-54=45 Current State: 54:[63, 45], Operations: ['99-54=45'] Exploring Operation: 63-54=9, Resulting Numbers: [45, 9] Generated Node #3: [45, 9] from Operation: 63-54=9 Current State: 54:[45, 9], Operations: ['99-54=45', '63-54=9'] Exploring Operation: 45+9=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 61, 12, 4, 20 ]
73
[ "61-12=49", "4+20=24", "49+24=73" ]
Current State: 73:[61, 12, 4, 20], Operations: [] Exploring Operation: 61-12=49, Resulting Numbers: [4, 20, 49] Generated Node #2: [4, 20, 49] from Operation: 61-12=49 Current State: 73:[4, 20, 49], Operations: ['61-12=49'] Exploring Operation: 4+20=24, Resulting Numbers: [49, 24] Generated Node #3: [49, 24] from Operation: 4+20=24 Current State: 73:[49, 24], Operations: ['61-12=49', '4+20=24'] Exploring Operation: 49+24=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 87, 82, 68, 63 ]
25
[ "87-82=5", "68-63=5", "5*5=25" ]
Current State: 25:[87, 82, 68, 63], Operations: [] Exploring Operation: 87-82=5, Resulting Numbers: [68, 63, 5] Generated Node #2: [68, 63, 5] from Operation: 87-82=5 Current State: 25:[68, 63, 5], Operations: ['87-82=5'] Exploring Operation: 68-63=5, Resulting Numbers: [5, 5] Generated Node #3: [5, 5] from Operation: 68-63=5 Current State: 25:[5, 5], Operations: ['87-82=5', '68-63=5'] Exploring Operation: 5*5=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 99, 85, 9, 13 ]
46
[ "99+85=184", "13-9=4", "184/4=46" ]
Current State: 46:[99, 85, 9, 13], Operations: [] Exploring Operation: 99+85=184, Resulting Numbers: [9, 13, 184] Generated Node #2: [9, 13, 184] from Operation: 99+85=184 Current State: 46:[9, 13, 184], Operations: ['99+85=184'] Exploring Operation: 13-9=4, Resulting Numbers: [184, 4] Generated Node #3: [184, 4] from Operation: 13-9=4 Current State: 46:[184, 4], Operations: ['99+85=184', '13-9=4'] Exploring Operation: 184/4=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 5, 29, 11, 62 ]
72
[ "5*29=145", "11+62=73", "145-73=72" ]
Current State: 72:[5, 29, 11, 62], Operations: [] Exploring Operation: 5*29=145, Resulting Numbers: [11, 62, 145] Generated Node #2: [11, 62, 145] from Operation: 5*29=145 Current State: 72:[11, 62, 145], Operations: ['5*29=145'] Exploring Operation: 11+62=73, Resulting Numbers: [145, 73] Generated Node #3: [145, 73] from Operation: 11+62=73 Current State: 72:[145, 73], Operations: ['5*29=145', '11+62=73'] Exploring Operation: 145-73=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 81, 21, 97, 3 ]
10
[ "97*3=291", "291-81=210", "210/21=10" ]
Current State: 10:[81, 21, 97, 3], Operations: [] Exploring Operation: 97*3=291, Resulting Numbers: [81, 21, 291] Generated Node #2: [81, 21, 291] from Operation: 97*3=291 Current State: 10:[81, 21, 291], Operations: ['97*3=291'] Exploring Operation: 291-81=210, Resulting Numbers: [21, 210] Generated Node #3: [21, 210] from Operation: 291-81=210 Current State: 10:[21, 210], Operations: ['97*3=291', '291-81=210'] Exploring Operation: 210/21=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 52, 49, 33, 90 ]
63
[ "52-49=3", "90/3=30", "33+30=63" ]
Current State: 63:[52, 49, 33, 90], Operations: [] Exploring Operation: 52-49=3, Resulting Numbers: [33, 90, 3] Generated Node #2: [33, 90, 3] from Operation: 52-49=3 Current State: 63:[33, 90, 3], Operations: ['52-49=3'] Exploring Operation: 90/3=30, Resulting Numbers: [33, 30] Generated Node #3: [33, 30] from Operation: 90/3=30 Current State: 63:[33, 30], Operations: ['52-49=3', '90/3=30'] Exploring Operation: 33+30=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 69, 92, 54, 20 ]
57
[ "92-69=23", "54-20=34", "23+34=57" ]
Current State: 57:[69, 92, 54, 20], Operations: [] Exploring Operation: 92-69=23, Resulting Numbers: [54, 20, 23] Generated Node #2: [54, 20, 23] from Operation: 92-69=23 Current State: 57:[54, 20, 23], Operations: ['92-69=23'] Exploring Operation: 54-20=34, Resulting Numbers: [23, 34] Generated Node #3: [23, 34] from Operation: 54-20=34 Current State: 57:[23, 34], Operations: ['92-69=23', '54-20=34'] Exploring Operation: 23+34=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 72, 77, 15, 69 ]
32
[ "72-69=3", "15*3=45", "77-45=32" ]
Current State: 32:[72, 77, 15, 69], Operations: [] Exploring Operation: 72-69=3, Resulting Numbers: [77, 15, 3] Generated Node #2: [77, 15, 3] from Operation: 72-69=3 Current State: 32:[77, 15, 3], Operations: ['72-69=3'] Exploring Operation: 15*3=45, Resulting Numbers: [77, 45] Generated Node #3: [77, 45] from Operation: 15*3=45 Current State: 32:[77, 45], Operations: ['72-69=3', '15*3=45'] Exploring Operation: 77-45=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 27, 39, 44, 15 ]
37
[ "27+39=66", "44-15=29", "66-29=37" ]
Current State: 37:[27, 39, 44, 15], Operations: [] Exploring Operation: 27+39=66, Resulting Numbers: [44, 15, 66] Generated Node #2: [44, 15, 66] from Operation: 27+39=66 Current State: 37:[44, 15, 66], Operations: ['27+39=66'] Exploring Operation: 44-15=29, Resulting Numbers: [66, 29] Generated Node #3: [66, 29] from Operation: 44-15=29 Current State: 37:[66, 29], Operations: ['27+39=66', '44-15=29'] Exploring Operation: 66-29=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 16, 18, 38, 12 ]
58
[ "18-12=6", "16*6=96", "96-38=58" ]
Current State: 58:[16, 18, 38, 12], Operations: [] Exploring Operation: 18-12=6, Resulting Numbers: [16, 38, 6] Generated Node #2: [16, 38, 6] from Operation: 18-12=6 Current State: 58:[16, 38, 6], Operations: ['18-12=6'] Exploring Operation: 16*6=96, Resulting Numbers: [38, 96] Generated Node #3: [38, 96] from Operation: 16*6=96 Current State: 58:[38, 96], Operations: ['18-12=6', '16*6=96'] Exploring Operation: 96-38=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 8, 57, 58, 74 ]
81
[ "8+57=65", "74-58=16", "65+16=81" ]
Current State: 81:[8, 57, 58, 74], Operations: [] Exploring Operation: 8+57=65, Resulting Numbers: [58, 74, 65] Generated Node #2: [58, 74, 65] from Operation: 8+57=65 Current State: 81:[58, 74, 65], Operations: ['8+57=65'] Exploring Operation: 74-58=16, Resulting Numbers: [65, 16] Generated Node #3: [65, 16] from Operation: 74-58=16 Current State: 81:[65, 16], Operations: ['8+57=65', '74-58=16'] Exploring Operation: 65+16=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 70, 40, 20, 32 ]
21
[ "32-20=12", "70*12=840", "840/40=21" ]
Current State: 21:[70, 40, 20, 32], Operations: [] Exploring Operation: 32-20=12, Resulting Numbers: [70, 40, 12] Generated Node #2: [70, 40, 12] from Operation: 32-20=12 Current State: 21:[70, 40, 12], Operations: ['32-20=12'] Exploring Operation: 70*12=840, Resulting Numbers: [40, 840] Generated Node #3: [40, 840] from Operation: 70*12=840 Current State: 21:[40, 840], Operations: ['32-20=12', '70*12=840'] Exploring Operation: 840/40=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 66, 27, 7, 76 ]
44
[ "66-27=39", "7+76=83", "83-39=44" ]
Current State: 44:[66, 27, 7, 76], Operations: [] Exploring Operation: 66-27=39, Resulting Numbers: [7, 76, 39] Generated Node #2: [7, 76, 39] from Operation: 66-27=39 Current State: 44:[7, 76, 39], Operations: ['66-27=39'] Exploring Operation: 7+76=83, Resulting Numbers: [39, 83] Generated Node #3: [39, 83] from Operation: 7+76=83 Current State: 44:[39, 83], Operations: ['66-27=39', '7+76=83'] Exploring Operation: 83-39=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 4, 21, 50, 16 ]
93
[ "4*16=64", "50-21=29", "64+29=93" ]
Current State: 93:[4, 21, 50, 16], Operations: [] Exploring Operation: 4*16=64, Resulting Numbers: [21, 50, 64] Generated Node #2: [21, 50, 64] from Operation: 4*16=64 Current State: 93:[21, 50, 64], Operations: ['4*16=64'] Exploring Operation: 50-21=29, Resulting Numbers: [64, 29] Generated Node #3: [64, 29] from Operation: 50-21=29 Current State: 93:[64, 29], Operations: ['4*16=64', '50-21=29'] Exploring Operation: 64+29=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 44, 21, 82, 14 ]
91
[ "44-21=23", "82-14=68", "23+68=91" ]
Current State: 91:[44, 21, 82, 14], Operations: [] Exploring Operation: 44-21=23, Resulting Numbers: [82, 14, 23] Generated Node #2: [82, 14, 23] from Operation: 44-21=23 Current State: 91:[82, 14, 23], Operations: ['44-21=23'] Exploring Operation: 82-14=68, Resulting Numbers: [23, 68] Generated Node #3: [23, 68] from Operation: 82-14=68 Current State: 91:[23, 68], Operations: ['44-21=23', '82-14=68'] Exploring Operation: 23+68=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 22, 1, 49, 36 ]
63
[ "22*1=22", "49+36=85", "85-22=63" ]
Current State: 63:[22, 1, 49, 36], Operations: [] Exploring Operation: 22*1=22, Resulting Numbers: [49, 36, 22] Generated Node #2: [49, 36, 22] from Operation: 22*1=22 Current State: 63:[49, 36, 22], Operations: ['22*1=22'] Exploring Operation: 49+36=85, Resulting Numbers: [22, 85] Generated Node #3: [22, 85] from Operation: 49+36=85 Current State: 63:[22, 85], Operations: ['22*1=22', '49+36=85'] Exploring Operation: 85-22=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 56, 44, 3, 8 ]
93
[ "56-44=12", "8*12=96", "96-3=93" ]
Current State: 93:[56, 44, 3, 8], Operations: [] Exploring Operation: 56-44=12, Resulting Numbers: [3, 8, 12] Generated Node #2: [3, 8, 12] from Operation: 56-44=12 Current State: 93:[3, 8, 12], Operations: ['56-44=12'] Exploring Operation: 8*12=96, Resulting Numbers: [3, 96] Generated Node #3: [3, 96] from Operation: 8*12=96 Current State: 93:[3, 96], Operations: ['56-44=12', '8*12=96'] Exploring Operation: 96-3=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 24, 3, 78, 23 ]
46
[ "78/3=26", "26-24=2", "23*2=46" ]
Current State: 46:[24, 3, 78, 23], Operations: [] Exploring Operation: 78/3=26, Resulting Numbers: [24, 23, 26] Generated Node #2: [24, 23, 26] from Operation: 78/3=26 Current State: 46:[24, 23, 26], Operations: ['78/3=26'] Exploring Operation: 26-24=2, Resulting Numbers: [23, 2] Generated Node #3: [23, 2] from Operation: 26-24=2 Current State: 46:[23, 2], Operations: ['78/3=26', '26-24=2'] Exploring Operation: 23*2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 2, 80, 89, 3 ]
52
[ "80/2=40", "89+3=92", "92-40=52" ]
Current State: 52:[2, 80, 89, 3], Operations: [] Exploring Operation: 80/2=40, Resulting Numbers: [89, 3, 40] Generated Node #2: [89, 3, 40] from Operation: 80/2=40 Current State: 52:[89, 3, 40], Operations: ['80/2=40'] Exploring Operation: 89+3=92, Resulting Numbers: [40, 92] Generated Node #3: [40, 92] from Operation: 89+3=92 Current State: 52:[40, 92], Operations: ['80/2=40', '89+3=92'] Exploring Operation: 92-40=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 17, 42, 47, 2 ]
85
[ "17+47=64", "42/2=21", "64+21=85" ]
Current State: 85:[17, 42, 47, 2], Operations: [] Exploring Operation: 17+47=64, Resulting Numbers: [42, 2, 64] Generated Node #2: [42, 2, 64] from Operation: 17+47=64 Current State: 85:[42, 2, 64], Operations: ['17+47=64'] Exploring Operation: 42/2=21, Resulting Numbers: [64, 21] Generated Node #3: [64, 21] from Operation: 42/2=21 Current State: 85:[64, 21], Operations: ['17+47=64', '42/2=21'] Exploring Operation: 64+21=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 18, 43, 92, 37 ]
80
[ "43-18=25", "92-37=55", "25+55=80" ]
Current State: 80:[18, 43, 92, 37], Operations: [] Exploring Operation: 43-18=25, Resulting Numbers: [92, 37, 25] Generated Node #2: [92, 37, 25] from Operation: 43-18=25 Current State: 80:[92, 37, 25], Operations: ['43-18=25'] Exploring Operation: 92-37=55, Resulting Numbers: [25, 55] Generated Node #3: [25, 55] from Operation: 92-37=55 Current State: 80:[25, 55], Operations: ['43-18=25', '92-37=55'] Exploring Operation: 25+55=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 90, 98, 21, 68 ]
39
[ "98-90=8", "68-21=47", "47-8=39" ]
Current State: 39:[90, 98, 21, 68], Operations: [] Exploring Operation: 98-90=8, Resulting Numbers: [21, 68, 8] Generated Node #2: [21, 68, 8] from Operation: 98-90=8 Current State: 39:[21, 68, 8], Operations: ['98-90=8'] Exploring Operation: 68-21=47, Resulting Numbers: [8, 47] Generated Node #3: [8, 47] from Operation: 68-21=47 Current State: 39:[8, 47], Operations: ['98-90=8', '68-21=47'] Exploring Operation: 47-8=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 9, 56, 81, 70 ]
45
[ "70-56=14", "9*14=126", "126-81=45" ]
Current State: 45:[9, 56, 81, 70], Operations: [] Exploring Operation: 70-56=14, Resulting Numbers: [9, 81, 14] Generated Node #2: [9, 81, 14] from Operation: 70-56=14 Current State: 45:[9, 81, 14], Operations: ['70-56=14'] Exploring Operation: 9*14=126, Resulting Numbers: [81, 126] Generated Node #3: [81, 126] from Operation: 9*14=126 Current State: 45:[81, 126], Operations: ['70-56=14', '9*14=126'] Exploring Operation: 126-81=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 77, 86, 20, 2 ]
90
[ "86-77=9", "20/2=10", "9*10=90" ]
Current State: 90:[77, 86, 20, 2], Operations: [] Exploring Operation: 86-77=9, Resulting Numbers: [20, 2, 9] Generated Node #2: [20, 2, 9] from Operation: 86-77=9 Current State: 90:[20, 2, 9], Operations: ['86-77=9'] Exploring Operation: 20/2=10, Resulting Numbers: [9, 10] Generated Node #3: [9, 10] from Operation: 20/2=10 Current State: 90:[9, 10], Operations: ['86-77=9', '20/2=10'] Exploring Operation: 9*10=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 32, 23, 57, 40 ]
64
[ "23+57=80", "32*80=2560", "2560/40=64" ]
Current State: 64:[32, 23, 57, 40], Operations: [] Exploring Operation: 23+57=80, Resulting Numbers: [32, 40, 80] Generated Node #2: [32, 40, 80] from Operation: 23+57=80 Current State: 64:[32, 40, 80], Operations: ['23+57=80'] Exploring Operation: 32*80=2560, Resulting Numbers: [40, 2560] Generated Node #3: [40, 2560] from Operation: 32*80=2560 Current State: 64:[40, 2560], Operations: ['23+57=80', '32*80=2560'] Exploring Operation: 2560/40=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 2, 47, 30, 21 ]
19
[ "47-30=17", "21+17=38", "38/2=19" ]
Current State: 19:[2, 47, 30, 21], Operations: [] Exploring Operation: 47-30=17, Resulting Numbers: [2, 21, 17] Generated Node #2: [2, 21, 17] from Operation: 47-30=17 Current State: 19:[2, 21, 17], Operations: ['47-30=17'] Exploring Operation: 21+17=38, Resulting Numbers: [2, 38] Generated Node #3: [2, 38] from Operation: 21+17=38 Current State: 19:[2, 38], Operations: ['47-30=17', '21+17=38'] Exploring Operation: 38/2=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 23, 32, 55, 55 ]
32
[ "55-55=0", "23*0=0", "32+0=32" ]
Current State: 32:[23, 32, 55, 55], Operations: [] Exploring Operation: 55-55=0, Resulting Numbers: [23, 32, 0] Generated Node #2: [23, 32, 0] from Operation: 55-55=0 Current State: 32:[23, 32, 0], Operations: ['55-55=0'] Exploring Operation: 23*0=0, Resulting Numbers: [32, 0] Generated Node #3: [32, 0] from Operation: 23*0=0 Current State: 32:[32, 0], Operations: ['55-55=0', '23*0=0'] Exploring Operation: 32+0=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 6, 2, 70, 45 ]
85
[ "6/2=3", "45/3=15", "70+15=85" ]
Current State: 85:[6, 2, 70, 45], Operations: [] Exploring Operation: 6/2=3, Resulting Numbers: [70, 45, 3] Generated Node #2: [70, 45, 3] from Operation: 6/2=3 Current State: 85:[70, 45, 3], Operations: ['6/2=3'] Exploring Operation: 45/3=15, Resulting Numbers: [70, 15] Generated Node #3: [70, 15] from Operation: 45/3=15 Current State: 85:[70, 15], Operations: ['6/2=3', '45/3=15'] Exploring Operation: 70+15=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 49, 30, 65, 71 ]
61
[ "49+71=120", "120/30=4", "65-4=61" ]
Current State: 61:[49, 30, 65, 71], Operations: [] Exploring Operation: 49+71=120, Resulting Numbers: [30, 65, 120] Generated Node #2: [30, 65, 120] from Operation: 49+71=120 Current State: 61:[30, 65, 120], Operations: ['49+71=120'] Exploring Operation: 120/30=4, Resulting Numbers: [65, 4] Generated Node #3: [65, 4] from Operation: 120/30=4 Current State: 61:[65, 4], Operations: ['49+71=120', '120/30=4'] Exploring Operation: 65-4=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 7, 66, 80, 72 ]
38
[ "72-66=6", "7*6=42", "80-42=38" ]
Current State: 38:[7, 66, 80, 72], Operations: [] Exploring Operation: 72-66=6, Resulting Numbers: [7, 80, 6] Generated Node #2: [7, 80, 6] from Operation: 72-66=6 Current State: 38:[7, 80, 6], Operations: ['72-66=6'] Exploring Operation: 7*6=42, Resulting Numbers: [80, 42] Generated Node #3: [80, 42] from Operation: 7*6=42 Current State: 38:[80, 42], Operations: ['72-66=6', '7*6=42'] Exploring Operation: 80-42=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 91, 30, 53, 94 ]
37
[ "94-91=3", "30*3=90", "90-53=37" ]
Current State: 37:[91, 30, 53, 94], Operations: [] Exploring Operation: 94-91=3, Resulting Numbers: [30, 53, 3] Generated Node #2: [30, 53, 3] from Operation: 94-91=3 Current State: 37:[30, 53, 3], Operations: ['94-91=3'] Exploring Operation: 30*3=90, Resulting Numbers: [53, 90] Generated Node #3: [53, 90] from Operation: 30*3=90 Current State: 37:[53, 90], Operations: ['94-91=3', '30*3=90'] Exploring Operation: 90-53=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 45, 10, 98, 35 ]
99
[ "45-10=35", "35/35=1", "98+1=99" ]
Current State: 99:[45, 10, 98, 35], Operations: [] Exploring Operation: 45-10=35, Resulting Numbers: [98, 35, 35] Generated Node #2: [98, 35, 35] from Operation: 45-10=35 Current State: 99:[98, 35, 35], Operations: ['45-10=35'] Exploring Operation: 35/35=1, Resulting Numbers: [98, 1] Generated Node #3: [98, 1] from Operation: 35/35=1 Current State: 99:[98, 1], Operations: ['45-10=35', '35/35=1'] Exploring Operation: 98+1=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 64, 51, 46, 4 ]
10
[ "64+51=115", "4*115=460", "460/46=10" ]
Current State: 10:[64, 51, 46, 4], Operations: [] Exploring Operation: 64+51=115, Resulting Numbers: [46, 4, 115] Generated Node #2: [46, 4, 115] from Operation: 64+51=115 Current State: 10:[46, 4, 115], Operations: ['64+51=115'] Exploring Operation: 4*115=460, Resulting Numbers: [46, 460] Generated Node #3: [46, 460] from Operation: 4*115=460 Current State: 10:[46, 460], Operations: ['64+51=115', '4*115=460'] Exploring Operation: 460/46=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 5, 9, 57, 99 ]
41
[ "57-5=52", "99/9=11", "52-11=41" ]
Current State: 41:[5, 9, 57, 99], Operations: [] Exploring Operation: 57-5=52, Resulting Numbers: [9, 99, 52] Generated Node #2: [9, 99, 52] from Operation: 57-5=52 Current State: 41:[9, 99, 52], Operations: ['57-5=52'] Exploring Operation: 99/9=11, Resulting Numbers: [52, 11] Generated Node #3: [52, 11] from Operation: 99/9=11 Current State: 41:[52, 11], Operations: ['57-5=52', '99/9=11'] Exploring Operation: 52-11=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 54, 10, 76, 13 ]
66
[ "76-54=22", "13-10=3", "22*3=66" ]
Current State: 66:[54, 10, 76, 13], Operations: [] Exploring Operation: 76-54=22, Resulting Numbers: [10, 13, 22] Generated Node #2: [10, 13, 22] from Operation: 76-54=22 Current State: 66:[10, 13, 22], Operations: ['76-54=22'] Exploring Operation: 13-10=3, Resulting Numbers: [22, 3] Generated Node #3: [22, 3] from Operation: 13-10=3 Current State: 66:[22, 3], Operations: ['76-54=22', '13-10=3'] Exploring Operation: 22*3=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 20, 64, 64, 97 ]
20
[ "64-64=0", "97*0=0", "20+0=20" ]
Current State: 20:[20, 64, 64, 97], Operations: [] Exploring Operation: 64-64=0, Resulting Numbers: [20, 97, 0] Generated Node #2: [20, 97, 0] from Operation: 64-64=0 Current State: 20:[20, 97, 0], Operations: ['64-64=0'] Exploring Operation: 97*0=0, Resulting Numbers: [20, 0] Generated Node #3: [20, 0] from Operation: 97*0=0 Current State: 20:[20, 0], Operations: ['64-64=0', '97*0=0'] Exploring Operation: 20+0=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 56, 17, 25, 5 ]
86
[ "56-17=39", "25*5=125", "125-39=86" ]
Current State: 86:[56, 17, 25, 5], Operations: [] Exploring Operation: 56-17=39, Resulting Numbers: [25, 5, 39] Generated Node #2: [25, 5, 39] from Operation: 56-17=39 Current State: 86:[25, 5, 39], Operations: ['56-17=39'] Exploring Operation: 25*5=125, Resulting Numbers: [39, 125] Generated Node #3: [39, 125] from Operation: 25*5=125 Current State: 86:[39, 125], Operations: ['56-17=39', '25*5=125'] Exploring Operation: 125-39=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 68, 90, 65, 79 ]
36
[ "90-68=22", "79-65=14", "22+14=36" ]
Current State: 36:[68, 90, 65, 79], Operations: [] Exploring Operation: 90-68=22, Resulting Numbers: [65, 79, 22] Generated Node #2: [65, 79, 22] from Operation: 90-68=22 Current State: 36:[65, 79, 22], Operations: ['90-68=22'] Exploring Operation: 79-65=14, Resulting Numbers: [22, 14] Generated Node #3: [22, 14] from Operation: 79-65=14 Current State: 36:[22, 14], Operations: ['90-68=22', '79-65=14'] Exploring Operation: 22+14=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 5, 99, 48, 28 ]
84
[ "5+99=104", "48-28=20", "104-20=84" ]
Current State: 84:[5, 99, 48, 28], Operations: [] Exploring Operation: 5+99=104, Resulting Numbers: [48, 28, 104] Generated Node #2: [48, 28, 104] from Operation: 5+99=104 Current State: 84:[48, 28, 104], Operations: ['5+99=104'] Exploring Operation: 48-28=20, Resulting Numbers: [104, 20] Generated Node #3: [104, 20] from Operation: 48-28=20 Current State: 84:[104, 20], Operations: ['5+99=104', '48-28=20'] Exploring Operation: 104-20=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 33, 52, 48, 46 ]
14
[ "48-46=2", "33*2=66", "66-52=14" ]
Current State: 14:[33, 52, 48, 46], Operations: [] Exploring Operation: 48-46=2, Resulting Numbers: [33, 52, 2] Generated Node #2: [33, 52, 2] from Operation: 48-46=2 Current State: 14:[33, 52, 2], Operations: ['48-46=2'] Exploring Operation: 33*2=66, Resulting Numbers: [52, 66] Generated Node #3: [52, 66] from Operation: 33*2=66 Current State: 14:[52, 66], Operations: ['48-46=2', '33*2=66'] Exploring Operation: 66-52=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 23, 61, 23, 40 ]
55
[ "61-23=38", "40-23=17", "38+17=55" ]
Current State: 55:[23, 61, 23, 40], Operations: [] Exploring Operation: 61-23=38, Resulting Numbers: [40, 38] Generated Node #2: [40, 38] from Operation: 61-23=38 Current State: 55:[40, 38], Operations: ['61-23=38'] Exploring Operation: 40-23=17, Resulting Numbers: [38, 17] Generated Node #3: [38, 17] from Operation: 40-23=17 Current State: 55:[38, 17], Operations: ['61-23=38', '40-23=17'] Exploring Operation: 38+17=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 75, 10, 44, 17 ]
38
[ "75-10=65", "44-17=27", "65-27=38" ]
Current State: 38:[75, 10, 44, 17], Operations: [] Exploring Operation: 75-10=65, Resulting Numbers: [44, 17, 65] Generated Node #2: [44, 17, 65] from Operation: 75-10=65 Current State: 38:[44, 17, 65], Operations: ['75-10=65'] Exploring Operation: 44-17=27, Resulting Numbers: [65, 27] Generated Node #3: [65, 27] from Operation: 44-17=27 Current State: 38:[65, 27], Operations: ['75-10=65', '44-17=27'] Exploring Operation: 65-27=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 68, 42, 29, 25 ]
75
[ "68-42=26", "29-26=3", "25*3=75" ]
Current State: 75:[68, 42, 29, 25], Operations: [] Exploring Operation: 68-42=26, Resulting Numbers: [29, 25, 26] Generated Node #2: [29, 25, 26] from Operation: 68-42=26 Current State: 75:[29, 25, 26], Operations: ['68-42=26'] Exploring Operation: 29-26=3, Resulting Numbers: [25, 3] Generated Node #3: [25, 3] from Operation: 29-26=3 Current State: 75:[25, 3], Operations: ['68-42=26', '29-26=3'] Exploring Operation: 25*3=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 96, 58, 84, 82 ]
21
[ "82-58=24", "96/24=4", "84/4=21" ]
Current State: 21:[96, 58, 84, 82], Operations: [] Exploring Operation: 82-58=24, Resulting Numbers: [96, 84, 24] Generated Node #2: [96, 84, 24] from Operation: 82-58=24 Current State: 21:[96, 84, 24], Operations: ['82-58=24'] Exploring Operation: 96/24=4, Resulting Numbers: [84, 4] Generated Node #3: [84, 4] from Operation: 96/24=4 Current State: 21:[84, 4], Operations: ['82-58=24', '96/24=4'] Exploring Operation: 84/4=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 29, 25, 46, 33 ]
41
[ "29+25=54", "46-33=13", "54-13=41" ]
Current State: 41:[29, 25, 46, 33], Operations: [] Exploring Operation: 29+25=54, Resulting Numbers: [46, 33, 54] Generated Node #2: [46, 33, 54] from Operation: 29+25=54 Current State: 41:[46, 33, 54], Operations: ['29+25=54'] Exploring Operation: 46-33=13, Resulting Numbers: [54, 13] Generated Node #3: [54, 13] from Operation: 46-33=13 Current State: 41:[54, 13], Operations: ['29+25=54', '46-33=13'] Exploring Operation: 54-13=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 42, 17, 83, 85 ]
76
[ "85-83=2", "17*2=34", "42+34=76" ]
Current State: 76:[42, 17, 83, 85], Operations: [] Exploring Operation: 85-83=2, Resulting Numbers: [42, 17, 2] Generated Node #2: [42, 17, 2] from Operation: 85-83=2 Current State: 76:[42, 17, 2], Operations: ['85-83=2'] Exploring Operation: 17*2=34, Resulting Numbers: [42, 34] Generated Node #3: [42, 34] from Operation: 17*2=34 Current State: 76:[42, 34], Operations: ['85-83=2', '17*2=34'] Exploring Operation: 42+34=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 13, 68, 3, 92 ]
85
[ "92-68=24", "3*24=72", "13+72=85" ]
Current State: 85:[13, 68, 3, 92], Operations: [] Exploring Operation: 92-68=24, Resulting Numbers: [13, 3, 24] Generated Node #2: [13, 3, 24] from Operation: 92-68=24 Current State: 85:[13, 3, 24], Operations: ['92-68=24'] Exploring Operation: 3*24=72, Resulting Numbers: [13, 72] Generated Node #3: [13, 72] from Operation: 3*24=72 Current State: 85:[13, 72], Operations: ['92-68=24', '3*24=72'] Exploring Operation: 13+72=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 34, 98, 1, 95 ]
99
[ "34-1=33", "98-95=3", "33*3=99" ]
Current State: 99:[34, 98, 1, 95], Operations: [] Exploring Operation: 34-1=33, Resulting Numbers: [98, 95, 33] Generated Node #2: [98, 95, 33] from Operation: 34-1=33 Current State: 99:[98, 95, 33], Operations: ['34-1=33'] Exploring Operation: 98-95=3, Resulting Numbers: [33, 3] Generated Node #3: [33, 3] from Operation: 98-95=3 Current State: 99:[33, 3], Operations: ['34-1=33', '98-95=3'] Exploring Operation: 33*3=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 28, 2, 19, 84 ]
24
[ "84/28=3", "2+19=21", "3+21=24" ]
Current State: 24:[28, 2, 19, 84], Operations: [] Exploring Operation: 84/28=3, Resulting Numbers: [2, 19, 3] Generated Node #2: [2, 19, 3] from Operation: 84/28=3 Current State: 24:[2, 19, 3], Operations: ['84/28=3'] Exploring Operation: 2+19=21, Resulting Numbers: [3, 21] Generated Node #3: [3, 21] from Operation: 2+19=21 Current State: 24:[3, 21], Operations: ['84/28=3', '2+19=21'] Exploring Operation: 3+21=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 1, 98, 3, 10 ]
27
[ "1+3=4", "98+10=108", "108/4=27" ]
Current State: 27:[1, 98, 3, 10], Operations: [] Exploring Operation: 1+3=4, Resulting Numbers: [98, 10, 4] Generated Node #2: [98, 10, 4] from Operation: 1+3=4 Current State: 27:[98, 10, 4], Operations: ['1+3=4'] Exploring Operation: 98+10=108, Resulting Numbers: [4, 108] Generated Node #3: [4, 108] from Operation: 98+10=108 Current State: 27:[4, 108], Operations: ['1+3=4', '98+10=108'] Exploring Operation: 108/4=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 65, 19, 11, 2 ]
95
[ "65*19=1235", "11+2=13", "1235/13=95" ]
Current State: 95:[65, 19, 11, 2], Operations: [] Exploring Operation: 65*19=1235, Resulting Numbers: [11, 2, 1235] Generated Node #2: [11, 2, 1235] from Operation: 65*19=1235 Current State: 95:[11, 2, 1235], Operations: ['65*19=1235'] Exploring Operation: 11+2=13, Resulting Numbers: [1235, 13] Generated Node #3: [1235, 13] from Operation: 11+2=13 Current State: 95:[1235, 13], Operations: ['65*19=1235', '11+2=13'] Exploring Operation: 1235/13=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 44, 34, 78, 84 ]
84
[ "44+34=78", "78+84=162", "162-78=84" ]
Current State: 84:[44, 34, 78, 84], Operations: [] Exploring Operation: 44+34=78, Resulting Numbers: [78, 84, 78] Generated Node #2: [78, 84, 78] from Operation: 44+34=78 Current State: 84:[78, 84, 78], Operations: ['44+34=78'] Exploring Operation: 78+84=162, Resulting Numbers: [162] 162,84 equal: Goal Reached Exploring Operation: 162-78=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 53, 97, 24, 11 ]
28
[ "97-53=44", "44/11=4", "24+4=28" ]
Current State: 28:[53, 97, 24, 11], Operations: [] Exploring Operation: 97-53=44, Resulting Numbers: [24, 11, 44] Generated Node #2: [24, 11, 44] from Operation: 97-53=44 Current State: 28:[24, 11, 44], Operations: ['97-53=44'] Exploring Operation: 44/11=4, Resulting Numbers: [24, 4] Generated Node #3: [24, 4] from Operation: 44/11=4 Current State: 28:[24, 4], Operations: ['97-53=44', '44/11=4'] Exploring Operation: 24+4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 44, 16, 1, 12 ]
64
[ "44*16=704", "12-1=11", "704/11=64" ]
Current State: 64:[44, 16, 1, 12], Operations: [] Exploring Operation: 44*16=704, Resulting Numbers: [1, 12, 704] Generated Node #2: [1, 12, 704] from Operation: 44*16=704 Current State: 64:[1, 12, 704], Operations: ['44*16=704'] Exploring Operation: 12-1=11, Resulting Numbers: [704, 11] Generated Node #3: [704, 11] from Operation: 12-1=11 Current State: 64:[704, 11], Operations: ['44*16=704', '12-1=11'] Exploring Operation: 704/11=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 25, 48, 37, 86 ]
51
[ "25+86=111", "111/37=3", "48+3=51" ]
Current State: 51:[25, 48, 37, 86], Operations: [] Exploring Operation: 25+86=111, Resulting Numbers: [48, 37, 111] Generated Node #2: [48, 37, 111] from Operation: 25+86=111 Current State: 51:[48, 37, 111], Operations: ['25+86=111'] Exploring Operation: 111/37=3, Resulting Numbers: [48, 3] Generated Node #3: [48, 3] from Operation: 111/37=3 Current State: 51:[48, 3], Operations: ['25+86=111', '111/37=3'] Exploring Operation: 48+3=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 62, 21, 73, 22 ]
69
[ "62+22=84", "84/21=4", "73-4=69" ]
Current State: 69:[62, 21, 73, 22], Operations: [] Exploring Operation: 62+22=84, Resulting Numbers: [21, 73, 84] Generated Node #2: [21, 73, 84] from Operation: 62+22=84 Current State: 69:[21, 73, 84], Operations: ['62+22=84'] Exploring Operation: 84/21=4, Resulting Numbers: [73, 4] Generated Node #3: [73, 4] from Operation: 84/21=4 Current State: 69:[73, 4], Operations: ['62+22=84', '84/21=4'] Exploring Operation: 73-4=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 33, 79, 93, 6 ]
89
[ "93-33=60", "60/6=10", "79+10=89" ]
Current State: 89:[33, 79, 93, 6], Operations: [] Exploring Operation: 93-33=60, Resulting Numbers: [79, 6, 60] Generated Node #2: [79, 6, 60] from Operation: 93-33=60 Current State: 89:[79, 6, 60], Operations: ['93-33=60'] Exploring Operation: 60/6=10, Resulting Numbers: [79, 10] Generated Node #3: [79, 10] from Operation: 60/6=10 Current State: 89:[79, 10], Operations: ['93-33=60', '60/6=10'] Exploring Operation: 79+10=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 42, 76, 75, 10 ]
99
[ "76-42=34", "75-10=65", "34+65=99" ]
Current State: 99:[42, 76, 75, 10], Operations: [] Exploring Operation: 76-42=34, Resulting Numbers: [75, 10, 34] Generated Node #2: [75, 10, 34] from Operation: 76-42=34 Current State: 99:[75, 10, 34], Operations: ['76-42=34'] Exploring Operation: 75-10=65, Resulting Numbers: [34, 65] Generated Node #3: [34, 65] from Operation: 75-10=65 Current State: 99:[34, 65], Operations: ['76-42=34', '75-10=65'] Exploring Operation: 34+65=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 90, 77, 9, 57 ]
21
[ "90-57=33", "77*9=693", "693/33=21" ]
Current State: 21:[90, 77, 9, 57], Operations: [] Exploring Operation: 90-57=33, Resulting Numbers: [77, 9, 33] Generated Node #2: [77, 9, 33] from Operation: 90-57=33 Current State: 21:[77, 9, 33], Operations: ['90-57=33'] Exploring Operation: 77*9=693, Resulting Numbers: [33, 693] Generated Node #3: [33, 693] from Operation: 77*9=693 Current State: 21:[33, 693], Operations: ['90-57=33', '77*9=693'] Exploring Operation: 693/33=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 16, 86, 48, 56 ]
34
[ "86-16=70", "48+56=104", "104-70=34" ]
Current State: 34:[16, 86, 48, 56], Operations: [] Exploring Operation: 86-16=70, Resulting Numbers: [48, 56, 70] Generated Node #2: [48, 56, 70] from Operation: 86-16=70 Current State: 34:[48, 56, 70], Operations: ['86-16=70'] Exploring Operation: 48+56=104, Resulting Numbers: [70, 104] Generated Node #3: [70, 104] from Operation: 48+56=104 Current State: 34:[70, 104], Operations: ['86-16=70', '48+56=104'] Exploring Operation: 104-70=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 88, 39, 75, 48 ]
75
[ "88-39=49", "49-48=1", "75*1=75" ]
Current State: 75:[88, 39, 75, 48], Operations: [] Exploring Operation: 88-39=49, Resulting Numbers: [75, 48, 49] Generated Node #2: [75, 48, 49] from Operation: 88-39=49 Current State: 75:[75, 48, 49], Operations: ['88-39=49'] Exploring Operation: 49-48=1, Resulting Numbers: [75, 1] Generated Node #3: [75, 1] from Operation: 49-48=1 Current State: 75:[75, 1], Operations: ['88-39=49', '49-48=1'] Exploring Operation: 75*1=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 35, 20, 42, 56 ]
69
[ "35+20=55", "56-42=14", "55+14=69" ]
Current State: 69:[35, 20, 42, 56], Operations: [] Exploring Operation: 35+20=55, Resulting Numbers: [42, 56, 55] Generated Node #2: [42, 56, 55] from Operation: 35+20=55 Current State: 69:[42, 56, 55], Operations: ['35+20=55'] Exploring Operation: 56-42=14, Resulting Numbers: [55, 14] Generated Node #3: [55, 14] from Operation: 56-42=14 Current State: 69:[55, 14], Operations: ['35+20=55', '56-42=14'] Exploring Operation: 55+14=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 44, 94, 31, 46 ]
16
[ "46-44=2", "94/2=47", "47-31=16" ]
Current State: 16:[44, 94, 31, 46], Operations: [] Exploring Operation: 46-44=2, Resulting Numbers: [94, 31, 2] Generated Node #2: [94, 31, 2] from Operation: 46-44=2 Current State: 16:[94, 31, 2], Operations: ['46-44=2'] Exploring Operation: 94/2=47, Resulting Numbers: [31, 47] Generated Node #3: [31, 47] from Operation: 94/2=47 Current State: 16:[31, 47], Operations: ['46-44=2', '94/2=47'] Exploring Operation: 47-31=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 8, 15, 21, 54 ]
68
[ "15-8=7", "21+54=75", "75-7=68" ]
Current State: 68:[8, 15, 21, 54], Operations: [] Exploring Operation: 15-8=7, Resulting Numbers: [21, 54, 7] Generated Node #2: [21, 54, 7] from Operation: 15-8=7 Current State: 68:[21, 54, 7], Operations: ['15-8=7'] Exploring Operation: 21+54=75, Resulting Numbers: [7, 75] Generated Node #3: [7, 75] from Operation: 21+54=75 Current State: 68:[7, 75], Operations: ['15-8=7', '21+54=75'] Exploring Operation: 75-7=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 8, 12, 5, 73 ]
73
[ "12-8=4", "5-4=1", "73*1=73" ]
Current State: 73:[8, 12, 5, 73], Operations: [] Exploring Operation: 12-8=4, Resulting Numbers: [5, 73, 4] Generated Node #2: [5, 73, 4] from Operation: 12-8=4 Current State: 73:[5, 73, 4], Operations: ['12-8=4'] Exploring Operation: 5-4=1, Resulting Numbers: [73, 1] Generated Node #3: [73, 1] from Operation: 5-4=1 Current State: 73:[73, 1], Operations: ['12-8=4', '5-4=1'] Exploring Operation: 73*1=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 36, 29, 41, 46 ]
70
[ "36+29=65", "46-41=5", "65+5=70" ]
Current State: 70:[36, 29, 41, 46], Operations: [] Exploring Operation: 36+29=65, Resulting Numbers: [41, 46, 65] Generated Node #2: [41, 46, 65] from Operation: 36+29=65 Current State: 70:[41, 46, 65], Operations: ['36+29=65'] Exploring Operation: 46-41=5, Resulting Numbers: [65, 5] Generated Node #3: [65, 5] from Operation: 46-41=5 Current State: 70:[65, 5], Operations: ['36+29=65', '46-41=5'] Exploring Operation: 65+5=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 10, 20, 21, 27 ]
91
[ "27-20=7", "10*7=70", "21+70=91" ]
Current State: 91:[10, 20, 21, 27], Operations: [] Exploring Operation: 27-20=7, Resulting Numbers: [10, 21, 7] Generated Node #2: [10, 21, 7] from Operation: 27-20=7 Current State: 91:[10, 21, 7], Operations: ['27-20=7'] Exploring Operation: 10*7=70, Resulting Numbers: [21, 70] Generated Node #3: [21, 70] from Operation: 10*7=70 Current State: 91:[21, 70], Operations: ['27-20=7', '10*7=70'] Exploring Operation: 21+70=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 48, 34, 93, 41 ]
91
[ "48+34=82", "82/41=2", "93-2=91" ]
Current State: 91:[48, 34, 93, 41], Operations: [] Exploring Operation: 48+34=82, Resulting Numbers: [93, 41, 82] Generated Node #2: [93, 41, 82] from Operation: 48+34=82 Current State: 91:[93, 41, 82], Operations: ['48+34=82'] Exploring Operation: 82/41=2, Resulting Numbers: [93, 2] Generated Node #3: [93, 2] from Operation: 82/41=2 Current State: 91:[93, 2], Operations: ['48+34=82', '82/41=2'] Exploring Operation: 93-2=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 13, 76, 15, 2 ]
87
[ "13*2=26", "76-15=61", "26+61=87" ]
Current State: 87:[13, 76, 15, 2], Operations: [] Exploring Operation: 13*2=26, Resulting Numbers: [76, 15, 26] Generated Node #2: [76, 15, 26] from Operation: 13*2=26 Current State: 87:[76, 15, 26], Operations: ['13*2=26'] Exploring Operation: 76-15=61, Resulting Numbers: [26, 61] Generated Node #3: [26, 61] from Operation: 76-15=61 Current State: 87:[26, 61], Operations: ['13*2=26', '76-15=61'] Exploring Operation: 26+61=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 55, 3, 28, 20 ]
61
[ "55-28=27", "3*27=81", "81-20=61" ]
Current State: 61:[55, 3, 28, 20], Operations: [] Exploring Operation: 55-28=27, Resulting Numbers: [3, 20, 27] Generated Node #2: [3, 20, 27] from Operation: 55-28=27 Current State: 61:[3, 20, 27], Operations: ['55-28=27'] Exploring Operation: 3*27=81, Resulting Numbers: [20, 81] Generated Node #3: [20, 81] from Operation: 3*27=81 Current State: 61:[20, 81], Operations: ['55-28=27', '3*27=81'] Exploring Operation: 81-20=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 14, 11, 20, 38 ]
94
[ "14-11=3", "38*3=114", "114-20=94" ]
Current State: 94:[14, 11, 20, 38], Operations: [] Exploring Operation: 14-11=3, Resulting Numbers: [20, 38, 3] Generated Node #2: [20, 38, 3] from Operation: 14-11=3 Current State: 94:[20, 38, 3], Operations: ['14-11=3'] Exploring Operation: 38*3=114, Resulting Numbers: [20, 114] Generated Node #3: [20, 114] from Operation: 38*3=114 Current State: 94:[20, 114], Operations: ['14-11=3', '38*3=114'] Exploring Operation: 114-20=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 47, 67, 40, 79 ]
81
[ "67-47=20", "40/20=2", "79+2=81" ]
Current State: 81:[47, 67, 40, 79], Operations: [] Exploring Operation: 67-47=20, Resulting Numbers: [40, 79, 20] Generated Node #2: [40, 79, 20] from Operation: 67-47=20 Current State: 81:[40, 79, 20], Operations: ['67-47=20'] Exploring Operation: 40/20=2, Resulting Numbers: [79, 2] Generated Node #3: [79, 2] from Operation: 40/20=2 Current State: 81:[79, 2], Operations: ['67-47=20', '40/20=2'] Exploring Operation: 79+2=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 7, 22, 70, 95 ]
40
[ "22-7=15", "95-70=25", "15+25=40" ]
Current State: 40:[7, 22, 70, 95], Operations: [] Exploring Operation: 22-7=15, Resulting Numbers: [70, 95, 15] Generated Node #2: [70, 95, 15] from Operation: 22-7=15 Current State: 40:[70, 95, 15], Operations: ['22-7=15'] Exploring Operation: 95-70=25, Resulting Numbers: [15, 25] Generated Node #3: [15, 25] from Operation: 95-70=25 Current State: 40:[15, 25], Operations: ['22-7=15', '95-70=25'] Exploring Operation: 15+25=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 91, 76, 35, 49 ]
80
[ "91+49=140", "140/35=4", "76+4=80" ]
Current State: 80:[91, 76, 35, 49], Operations: [] Exploring Operation: 91+49=140, Resulting Numbers: [76, 35, 140] Generated Node #2: [76, 35, 140] from Operation: 91+49=140 Current State: 80:[76, 35, 140], Operations: ['91+49=140'] Exploring Operation: 140/35=4, Resulting Numbers: [76, 4] Generated Node #3: [76, 4] from Operation: 140/35=4 Current State: 80:[76, 4], Operations: ['91+49=140', '140/35=4'] Exploring Operation: 76+4=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 29, 28, 92, 36 ]
81
[ "92-29=63", "36*63=2268", "2268/28=81" ]
Current State: 81:[29, 28, 92, 36], Operations: [] Exploring Operation: 92-29=63, Resulting Numbers: [28, 36, 63] Generated Node #2: [28, 36, 63] from Operation: 92-29=63 Current State: 81:[28, 36, 63], Operations: ['92-29=63'] Exploring Operation: 36*63=2268, Resulting Numbers: [28, 2268] Generated Node #3: [28, 2268] from Operation: 36*63=2268 Current State: 81:[28, 2268], Operations: ['92-29=63', '36*63=2268'] Exploring Operation: 2268/28=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 71, 4, 2, 58 ]
86
[ "2+58=60", "60/4=15", "71+15=86" ]
Current State: 86:[71, 4, 2, 58], Operations: [] Exploring Operation: 2+58=60, Resulting Numbers: [71, 4, 60] Generated Node #2: [71, 4, 60] from Operation: 2+58=60 Current State: 86:[71, 4, 60], Operations: ['2+58=60'] Exploring Operation: 60/4=15, Resulting Numbers: [71, 15] Generated Node #3: [71, 15] from Operation: 60/4=15 Current State: 86:[71, 15], Operations: ['2+58=60', '60/4=15'] Exploring Operation: 71+15=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 57, 86, 4, 60 ]
38
[ "57*60=3420", "86+4=90", "3420/90=38" ]
Current State: 38:[57, 86, 4, 60], Operations: [] Exploring Operation: 57*60=3420, Resulting Numbers: [86, 4, 3420] Generated Node #2: [86, 4, 3420] from Operation: 57*60=3420 Current State: 38:[86, 4, 3420], Operations: ['57*60=3420'] Exploring Operation: 86+4=90, Resulting Numbers: [3420, 90] Generated Node #3: [3420, 90] from Operation: 86+4=90 Current State: 38:[3420, 90], Operations: ['57*60=3420', '86+4=90'] Exploring Operation: 3420/90=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 77, 40, 93, 44 ]
64
[ "93-77=16", "44-40=4", "16*4=64" ]
Current State: 64:[77, 40, 93, 44], Operations: [] Exploring Operation: 93-77=16, Resulting Numbers: [40, 44, 16] Generated Node #2: [40, 44, 16] from Operation: 93-77=16 Current State: 64:[40, 44, 16], Operations: ['93-77=16'] Exploring Operation: 44-40=4, Resulting Numbers: [16, 4] Generated Node #3: [16, 4] from Operation: 44-40=4 Current State: 64:[16, 4], Operations: ['93-77=16', '44-40=4'] Exploring Operation: 16*4=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 25, 7, 4, 45 ]
62
[ "25*4=100", "45-7=38", "100-38=62" ]
Current State: 62:[25, 7, 4, 45], Operations: [] Exploring Operation: 25*4=100, Resulting Numbers: [7, 45, 100] Generated Node #2: [7, 45, 100] from Operation: 25*4=100 Current State: 62:[7, 45, 100], Operations: ['25*4=100'] Exploring Operation: 45-7=38, Resulting Numbers: [100, 38] Generated Node #3: [100, 38] from Operation: 45-7=38 Current State: 62:[100, 38], Operations: ['25*4=100', '45-7=38'] Exploring Operation: 100-38=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 20, 4, 46, 72 ]
31
[ "20/4=5", "72-46=26", "5+26=31" ]
Current State: 31:[20, 4, 46, 72], Operations: [] Exploring Operation: 20/4=5, Resulting Numbers: [46, 72, 5] Generated Node #2: [46, 72, 5] from Operation: 20/4=5 Current State: 31:[46, 72, 5], Operations: ['20/4=5'] Exploring Operation: 72-46=26, Resulting Numbers: [5, 26] Generated Node #3: [5, 26] from Operation: 72-46=26 Current State: 31:[5, 26], Operations: ['20/4=5', '72-46=26'] Exploring Operation: 5+26=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 53, 59, 57, 5 ]
39
[ "57-53=4", "5*4=20", "59-20=39" ]
Current State: 39:[53, 59, 57, 5], Operations: [] Exploring Operation: 57-53=4, Resulting Numbers: [59, 5, 4] Generated Node #2: [59, 5, 4] from Operation: 57-53=4 Current State: 39:[59, 5, 4], Operations: ['57-53=4'] Exploring Operation: 5*4=20, Resulting Numbers: [59, 20] Generated Node #3: [59, 20] from Operation: 5*4=20 Current State: 39:[59, 20], Operations: ['57-53=4', '5*4=20'] Exploring Operation: 59-20=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 12, 4, 78, 98 ]
17
[ "12/4=3", "98-78=20", "20-3=17" ]
Current State: 17:[12, 4, 78, 98], Operations: [] Exploring Operation: 12/4=3, Resulting Numbers: [78, 98, 3] Generated Node #2: [78, 98, 3] from Operation: 12/4=3 Current State: 17:[78, 98, 3], Operations: ['12/4=3'] Exploring Operation: 98-78=20, Resulting Numbers: [3, 20] Generated Node #3: [3, 20] from Operation: 98-78=20 Current State: 17:[3, 20], Operations: ['12/4=3', '98-78=20'] Exploring Operation: 20-3=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 80, 72, 10, 82 ]
31
[ "82-80=2", "72-10=62", "62/2=31" ]
Current State: 31:[80, 72, 10, 82], Operations: [] Exploring Operation: 82-80=2, Resulting Numbers: [72, 10, 2] Generated Node #2: [72, 10, 2] from Operation: 82-80=2 Current State: 31:[72, 10, 2], Operations: ['82-80=2'] Exploring Operation: 72-10=62, Resulting Numbers: [2, 62] Generated Node #3: [2, 62] from Operation: 72-10=62 Current State: 31:[2, 62], Operations: ['82-80=2', '72-10=62'] Exploring Operation: 62/2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 2, 4, 9, 23 ]
18
[ "4+9=13", "23+13=36", "36/2=18" ]
Current State: 18:[2, 4, 9, 23], Operations: [] Exploring Operation: 4+9=13, Resulting Numbers: [2, 23, 13] Generated Node #2: [2, 23, 13] from Operation: 4+9=13 Current State: 18:[2, 23, 13], Operations: ['4+9=13'] Exploring Operation: 23+13=36, Resulting Numbers: [2, 36] Generated Node #3: [2, 36] from Operation: 23+13=36 Current State: 18:[2, 36], Operations: ['4+9=13', '23+13=36'] Exploring Operation: 36/2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 96, 46, 7, 4 ]
22
[ "96-46=50", "7*4=28", "50-28=22" ]
Current State: 22:[96, 46, 7, 4], Operations: [] Exploring Operation: 96-46=50, Resulting Numbers: [7, 4, 50] Generated Node #2: [7, 4, 50] from Operation: 96-46=50 Current State: 22:[7, 4, 50], Operations: ['96-46=50'] Exploring Operation: 7*4=28, Resulting Numbers: [50, 28] Generated Node #3: [50, 28] from Operation: 7*4=28 Current State: 22:[50, 28], Operations: ['96-46=50', '7*4=28'] Exploring Operation: 50-28=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 71, 52, 57, 8 ]
36
[ "71+57=128", "128/8=16", "52-16=36" ]
Current State: 36:[71, 52, 57, 8], Operations: [] Exploring Operation: 71+57=128, Resulting Numbers: [52, 8, 128] Generated Node #2: [52, 8, 128] from Operation: 71+57=128 Current State: 36:[52, 8, 128], Operations: ['71+57=128'] Exploring Operation: 128/8=16, Resulting Numbers: [52, 16] Generated Node #3: [52, 16] from Operation: 128/8=16 Current State: 36:[52, 16], Operations: ['71+57=128', '128/8=16'] Exploring Operation: 52-16=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 50, 68, 10, 27 ]
46
[ "50/10=5", "68-27=41", "5+41=46" ]
Current State: 46:[50, 68, 10, 27], Operations: [] Exploring Operation: 50/10=5, Resulting Numbers: [68, 27, 5] Generated Node #2: [68, 27, 5] from Operation: 50/10=5 Current State: 46:[68, 27, 5], Operations: ['50/10=5'] Exploring Operation: 68-27=41, Resulting Numbers: [5, 41] Generated Node #3: [5, 41] from Operation: 68-27=41 Current State: 46:[5, 41], Operations: ['50/10=5', '68-27=41'] Exploring Operation: 5+41=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 82, 17, 24, 84 ]
39
[ "82+17=99", "84-24=60", "99-60=39" ]
Current State: 39:[82, 17, 24, 84], Operations: [] Exploring Operation: 82+17=99, Resulting Numbers: [24, 84, 99] Generated Node #2: [24, 84, 99] from Operation: 82+17=99 Current State: 39:[24, 84, 99], Operations: ['82+17=99'] Exploring Operation: 84-24=60, Resulting Numbers: [99, 60] Generated Node #3: [99, 60] from Operation: 84-24=60 Current State: 39:[99, 60], Operations: ['82+17=99', '84-24=60'] Exploring Operation: 99-60=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 87, 48, 16, 8 ]
85
[ "16+8=24", "48/24=2", "87-2=85" ]
Current State: 85:[87, 48, 16, 8], Operations: [] Exploring Operation: 16+8=24, Resulting Numbers: [87, 48, 24] Generated Node #2: [87, 48, 24] from Operation: 16+8=24 Current State: 85:[87, 48, 24], Operations: ['16+8=24'] Exploring Operation: 48/24=2, Resulting Numbers: [87, 2] Generated Node #3: [87, 2] from Operation: 48/24=2 Current State: 85:[87, 2], Operations: ['16+8=24', '48/24=2'] Exploring Operation: 87-2=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 16, 48, 17, 9 ]
78
[ "48/16=3", "17+9=26", "3*26=78" ]
Current State: 78:[16, 48, 17, 9], Operations: [] Exploring Operation: 48/16=3, Resulting Numbers: [17, 9, 3] Generated Node #2: [17, 9, 3] from Operation: 48/16=3 Current State: 78:[17, 9, 3], Operations: ['48/16=3'] Exploring Operation: 17+9=26, Resulting Numbers: [3, 26] Generated Node #3: [3, 26] from Operation: 17+9=26 Current State: 78:[3, 26], Operations: ['48/16=3', '17+9=26'] Exploring Operation: 3*26=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 63, 33, 45, 65 ]
21
[ "65-63=2", "33*2=66", "66-45=21" ]
Current State: 21:[63, 33, 45, 65], Operations: [] Exploring Operation: 65-63=2, Resulting Numbers: [33, 45, 2] Generated Node #2: [33, 45, 2] from Operation: 65-63=2 Current State: 21:[33, 45, 2], Operations: ['65-63=2'] Exploring Operation: 33*2=66, Resulting Numbers: [45, 66] Generated Node #3: [45, 66] from Operation: 33*2=66 Current State: 21:[45, 66], Operations: ['65-63=2', '33*2=66'] Exploring Operation: 66-45=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 70, 90, 43, 75 ]
41
[ "70*90=6300", "6300/75=84", "84-43=41" ]
Current State: 41:[70, 90, 43, 75], Operations: [] Exploring Operation: 70*90=6300, Resulting Numbers: [43, 75, 6300] Generated Node #2: [43, 75, 6300] from Operation: 70*90=6300 Current State: 41:[43, 75, 6300], Operations: ['70*90=6300'] Exploring Operation: 6300/75=84, Resulting Numbers: [43, 84] Generated Node #3: [43, 84] from Operation: 6300/75=84 Current State: 41:[43, 84], Operations: ['70*90=6300', '6300/75=84'] Exploring Operation: 84-43=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4