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
[ 15, 4, 20, 7 ]
21
[ "15*4=60", "60/20=3", "7*3=21" ]
Current State: 21:[15, 4, 20, 7], Operations: [] Exploring Operation: 15*4=60, Resulting Numbers: [20, 7, 60] Generated Node #2: [20, 7, 60] from Operation: 15*4=60 Current State: 21:[20, 7, 60], Operations: ['15*4=60'] Exploring Operation: 60/20=3, Resulting Numbers: [7, 3] Generated Node #3: [7, 3] from Operation: 60/20=3 Current State: 21:[7, 3], Operations: ['15*4=60', '60/20=3'] Exploring Operation: 7*3=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 4, 82, 25, 88 ]
35
[ "82-4=78", "25+88=113", "113-78=35" ]
Current State: 35:[4, 82, 25, 88], Operations: [] Exploring Operation: 82-4=78, Resulting Numbers: [25, 88, 78] Generated Node #2: [25, 88, 78] from Operation: 82-4=78 Current State: 35:[25, 88, 78], Operations: ['82-4=78'] Exploring Operation: 25+88=113, Resulting Numbers: [78, 113] Generated Node #3: [78, 113] from Operation: 25+88=113 Current State: 35:[78, 113], Operations: ['82-4=78', '25+88=113'] Exploring Operation: 113-78=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 8, 5, 71, 24 ]
98
[ "8-5=3", "71+24=95", "3+95=98" ]
Current State: 98:[8, 5, 71, 24], Operations: [] Exploring Operation: 8-5=3, Resulting Numbers: [71, 24, 3] Generated Node #2: [71, 24, 3] from Operation: 8-5=3 Current State: 98:[71, 24, 3], Operations: ['8-5=3'] Exploring Operation: 71+24=95, Resulting Numbers: [3, 95] Generated Node #3: [3, 95] from Operation: 71+24=95 Current State: 98:[3, 95], Operations: ['8-5=3', '71+24=95'] Exploring Operation: 3+95=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 33, 32, 73, 49 ]
71
[ "49-33=16", "32/16=2", "73-2=71" ]
Current State: 71:[33, 32, 73, 49], Operations: [] Exploring Operation: 49-33=16, Resulting Numbers: [32, 73, 16] Generated Node #2: [32, 73, 16] from Operation: 49-33=16 Current State: 71:[32, 73, 16], Operations: ['49-33=16'] Exploring Operation: 32/16=2, Resulting Numbers: [73, 2] Generated Node #3: [73, 2] from Operation: 32/16=2 Current State: 71:[73, 2], Operations: ['49-33=16', '32/16=2'] Exploring Operation: 73-2=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 96, 61, 65, 67 ]
97
[ "96-61=35", "65+67=132", "132-35=97" ]
Current State: 97:[96, 61, 65, 67], Operations: [] Exploring Operation: 96-61=35, Resulting Numbers: [65, 67, 35] Generated Node #2: [65, 67, 35] from Operation: 96-61=35 Current State: 97:[65, 67, 35], Operations: ['96-61=35'] Exploring Operation: 65+67=132, Resulting Numbers: [35, 132] Generated Node #3: [35, 132] from Operation: 65+67=132 Current State: 97:[35, 132], Operations: ['96-61=35', '65+67=132'] Exploring Operation: 132-35=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 45, 28, 83, 23 ]
21
[ "45*28=1260", "83-23=60", "1260/60=21" ]
Current State: 21:[45, 28, 83, 23], Operations: [] Exploring Operation: 45*28=1260, Resulting Numbers: [83, 23, 1260] Generated Node #2: [83, 23, 1260] from Operation: 45*28=1260 Current State: 21:[83, 23, 1260], Operations: ['45*28=1260'] Exploring Operation: 83-23=60, Resulting Numbers: [1260, 60] Generated Node #3: [1260, 60] from Operation: 83-23=60 Current State: 21:[1260, 60], Operations: ['45*28=1260', '83-23=60'] Exploring Operation: 1260/60=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 16, 85, 48, 16 ]
87
[ "48-16=32", "32/16=2", "85+2=87" ]
Current State: 87:[16, 85, 48, 16], Operations: [] Exploring Operation: 48-16=32, Resulting Numbers: [85, 32] Generated Node #2: [85, 32] from Operation: 48-16=32 Current State: 87:[85, 32], Operations: ['48-16=32'] Exploring Operation: 32/16=2, Resulting Numbers: [85, 2] Generated Node #3: [85, 2] from Operation: 32/16=2 Current State: 87:[85, 2], Operations: ['48-16=32', '32/16=2'] Exploring Operation: 85+2=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 63, 27, 62, 65 ]
72
[ "65-62=3", "27/3=9", "63+9=72" ]
Current State: 72:[63, 27, 62, 65], Operations: [] Exploring Operation: 65-62=3, Resulting Numbers: [63, 27, 3] Generated Node #2: [63, 27, 3] from Operation: 65-62=3 Current State: 72:[63, 27, 3], Operations: ['65-62=3'] Exploring Operation: 27/3=9, Resulting Numbers: [63, 9] Generated Node #3: [63, 9] from Operation: 27/3=9 Current State: 72:[63, 9], Operations: ['65-62=3', '27/3=9'] Exploring Operation: 63+9=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 93, 24, 6, 1 ]
96
[ "93-1=92", "24/6=4", "92+4=96" ]
Current State: 96:[93, 24, 6, 1], Operations: [] Exploring Operation: 93-1=92, Resulting Numbers: [24, 6, 92] Generated Node #2: [24, 6, 92] from Operation: 93-1=92 Current State: 96:[24, 6, 92], Operations: ['93-1=92'] Exploring Operation: 24/6=4, Resulting Numbers: [92, 4] Generated Node #3: [92, 4] from Operation: 24/6=4 Current State: 96:[92, 4], Operations: ['93-1=92', '24/6=4'] Exploring Operation: 92+4=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 21, 64, 23, 47 ]
19
[ "64-21=43", "47-23=24", "43-24=19" ]
Current State: 19:[21, 64, 23, 47], Operations: [] Exploring Operation: 64-21=43, Resulting Numbers: [23, 47, 43] Generated Node #2: [23, 47, 43] from Operation: 64-21=43 Current State: 19:[23, 47, 43], Operations: ['64-21=43'] Exploring Operation: 47-23=24, Resulting Numbers: [43, 24] Generated Node #3: [43, 24] from Operation: 47-23=24 Current State: 19:[43, 24], Operations: ['64-21=43', '47-23=24'] Exploring Operation: 43-24=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 48, 32, 90, 11 ]
63
[ "48-32=16", "90-11=79", "79-16=63" ]
Current State: 63:[48, 32, 90, 11], Operations: [] Exploring Operation: 48-32=16, Resulting Numbers: [90, 11, 16] Generated Node #2: [90, 11, 16] from Operation: 48-32=16 Current State: 63:[90, 11, 16], Operations: ['48-32=16'] Exploring Operation: 90-11=79, Resulting Numbers: [16, 79] Generated Node #3: [16, 79] from Operation: 90-11=79 Current State: 63:[16, 79], Operations: ['48-32=16', '90-11=79'] Exploring Operation: 79-16=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 83, 96, 74, 31 ]
74
[ "83+96=179", "74+31=105", "179-105=74" ]
Current State: 74:[83, 96, 74, 31], Operations: [] Exploring Operation: 83+96=179, Resulting Numbers: [74, 31, 179] Generated Node #2: [74, 31, 179] from Operation: 83+96=179 Current State: 74:[74, 31, 179], Operations: ['83+96=179'] Exploring Operation: 74+31=105, Resulting Numbers: [179, 105] Generated Node #3: [179, 105] from Operation: 74+31=105 Current State: 74:[179, 105], Operations: ['83+96=179', '74+31=105'] Exploring Operation: 179-105=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 87, 23, 19, 62 ]
100
[ "87-62=25", "23-19=4", "25*4=100" ]
Current State: 100:[87, 23, 19, 62], Operations: [] Exploring Operation: 87-62=25, Resulting Numbers: [23, 19, 25] Generated Node #2: [23, 19, 25] from Operation: 87-62=25 Current State: 100:[23, 19, 25], Operations: ['87-62=25'] Exploring Operation: 23-19=4, Resulting Numbers: [25, 4] Generated Node #3: [25, 4] from Operation: 23-19=4 Current State: 100:[25, 4], Operations: ['87-62=25', '23-19=4'] Exploring Operation: 25*4=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 85, 45, 54, 43 ]
29
[ "85-45=40", "54-43=11", "40-11=29" ]
Current State: 29:[85, 45, 54, 43], Operations: [] Exploring Operation: 85-45=40, Resulting Numbers: [54, 43, 40] Generated Node #2: [54, 43, 40] from Operation: 85-45=40 Current State: 29:[54, 43, 40], Operations: ['85-45=40'] Exploring Operation: 54-43=11, Resulting Numbers: [40, 11] Generated Node #3: [40, 11] from Operation: 54-43=11 Current State: 29:[40, 11], Operations: ['85-45=40', '54-43=11'] Exploring Operation: 40-11=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 47, 13, 72, 61 ]
96
[ "72-61=11", "13*11=143", "143-47=96" ]
Current State: 96:[47, 13, 72, 61], Operations: [] Exploring Operation: 72-61=11, Resulting Numbers: [47, 13, 11] Generated Node #2: [47, 13, 11] from Operation: 72-61=11 Current State: 96:[47, 13, 11], Operations: ['72-61=11'] Exploring Operation: 13*11=143, Resulting Numbers: [47, 143] Generated Node #3: [47, 143] from Operation: 13*11=143 Current State: 96:[47, 143], Operations: ['72-61=11', '13*11=143'] Exploring Operation: 143-47=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 5, 77, 7, 90 ]
86
[ "90-77=13", "7*13=91", "91-5=86" ]
Current State: 86:[5, 77, 7, 90], Operations: [] Exploring Operation: 90-77=13, Resulting Numbers: [5, 7, 13] Generated Node #2: [5, 7, 13] from Operation: 90-77=13 Current State: 86:[5, 7, 13], Operations: ['90-77=13'] Exploring Operation: 7*13=91, Resulting Numbers: [5, 91] Generated Node #3: [5, 91] from Operation: 7*13=91 Current State: 86:[5, 91], Operations: ['90-77=13', '7*13=91'] Exploring Operation: 91-5=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 83, 58, 78, 49 ]
85
[ "78-49=29", "58/29=2", "83+2=85" ]
Current State: 85:[83, 58, 78, 49], Operations: [] Exploring Operation: 78-49=29, Resulting Numbers: [83, 58, 29] Generated Node #2: [83, 58, 29] from Operation: 78-49=29 Current State: 85:[83, 58, 29], Operations: ['78-49=29'] Exploring Operation: 58/29=2, Resulting Numbers: [83, 2] Generated Node #3: [83, 2] from Operation: 58/29=2 Current State: 85:[83, 2], Operations: ['78-49=29', '58/29=2'] Exploring Operation: 83+2=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 93, 5, 28, 10 ]
35
[ "93+5=98", "10*98=980", "980/28=35" ]
Current State: 35:[93, 5, 28, 10], Operations: [] Exploring Operation: 93+5=98, Resulting Numbers: [28, 10, 98] Generated Node #2: [28, 10, 98] from Operation: 93+5=98 Current State: 35:[28, 10, 98], Operations: ['93+5=98'] Exploring Operation: 10*98=980, Resulting Numbers: [28, 980] Generated Node #3: [28, 980] from Operation: 10*98=980 Current State: 35:[28, 980], Operations: ['93+5=98', '10*98=980'] Exploring Operation: 980/28=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 83, 79, 46, 44 ]
87
[ "46-44=2", "83*2=166", "166-79=87" ]
Current State: 87:[83, 79, 46, 44], Operations: [] Exploring Operation: 46-44=2, Resulting Numbers: [83, 79, 2] Generated Node #2: [83, 79, 2] from Operation: 46-44=2 Current State: 87:[83, 79, 2], Operations: ['46-44=2'] Exploring Operation: 83*2=166, Resulting Numbers: [79, 166] Generated Node #3: [79, 166] from Operation: 83*2=166 Current State: 87:[79, 166], Operations: ['46-44=2', '83*2=166'] Exploring Operation: 166-79=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 81, 83, 58, 84 ]
71
[ "83-81=2", "58+84=142", "142/2=71" ]
Current State: 71:[81, 83, 58, 84], Operations: [] Exploring Operation: 83-81=2, Resulting Numbers: [58, 84, 2] Generated Node #2: [58, 84, 2] from Operation: 83-81=2 Current State: 71:[58, 84, 2], Operations: ['83-81=2'] Exploring Operation: 58+84=142, Resulting Numbers: [2, 142] Generated Node #3: [2, 142] from Operation: 58+84=142 Current State: 71:[2, 142], Operations: ['83-81=2', '58+84=142'] Exploring Operation: 142/2=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 58, 80, 46, 65 ]
90
[ "58*65=3770", "80*46=3680", "3770-3680=90" ]
Current State: 90:[58, 80, 46, 65], Operations: [] Exploring Operation: 58*65=3770, Resulting Numbers: [80, 46, 3770] Generated Node #2: [80, 46, 3770] from Operation: 58*65=3770 Current State: 90:[80, 46, 3770], Operations: ['58*65=3770'] Exploring Operation: 80*46=3680, Resulting Numbers: [3770, 3680] Generated Node #3: [3770, 3680] from Operation: 80*46=3680 Current State: 90:[3770, 3680], Operations: ['58*65=3770', '80*46=3680'] Exploring Operation: 3770-3680=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 25, 12, 36, 31 ]
36
[ "31-25=6", "12*6=72", "72-36=36" ]
Current State: 36:[25, 12, 36, 31], Operations: [] Exploring Operation: 31-25=6, Resulting Numbers: [12, 36, 6] Generated Node #2: [12, 36, 6] from Operation: 31-25=6 Current State: 36:[12, 36, 6], Operations: ['31-25=6'] Exploring Operation: 12*6=72, Resulting Numbers: [36, 72] Generated Node #3: [36, 72] from Operation: 12*6=72 Current State: 36:[36, 72], Operations: ['31-25=6', '12*6=72'] Exploring Operation: 72-36=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 19, 82, 1, 55 ]
46
[ "19+82=101", "1*55=55", "101-55=46" ]
Current State: 46:[19, 82, 1, 55], Operations: [] Exploring Operation: 19+82=101, Resulting Numbers: [1, 55, 101] Generated Node #2: [1, 55, 101] from Operation: 19+82=101 Current State: 46:[1, 55, 101], Operations: ['19+82=101'] Exploring Operation: 1*55=55, Resulting Numbers: [101, 55] Generated Node #3: [101, 55] from Operation: 1*55=55 Current State: 46:[101, 55], Operations: ['19+82=101', '1*55=55'] Exploring Operation: 101-55=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 22, 42, 12, 24 ]
77
[ "22*42=924", "24-12=12", "924/12=77" ]
Current State: 77:[22, 42, 12, 24], Operations: [] Exploring Operation: 22*42=924, Resulting Numbers: [12, 24, 924] Generated Node #2: [12, 24, 924] from Operation: 22*42=924 Current State: 77:[12, 24, 924], Operations: ['22*42=924'] Exploring Operation: 24-12=12, Resulting Numbers: [924, 12] Generated Node #3: [924, 12] from Operation: 24-12=12 Current State: 77:[924, 12], Operations: ['22*42=924', '24-12=12'] Exploring Operation: 924/12=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 52, 10, 5, 2 ]
54
[ "52*2=104", "10*5=50", "104-50=54" ]
Current State: 54:[52, 10, 5, 2], Operations: [] Exploring Operation: 52*2=104, Resulting Numbers: [10, 5, 104] Generated Node #2: [10, 5, 104] from Operation: 52*2=104 Current State: 54:[10, 5, 104], Operations: ['52*2=104'] Exploring Operation: 10*5=50, Resulting Numbers: [104, 50] Generated Node #3: [104, 50] from Operation: 10*5=50 Current State: 54:[104, 50], Operations: ['52*2=104', '10*5=50'] Exploring Operation: 104-50=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 33, 41, 10, 20 ]
89
[ "33-20=13", "10*13=130", "130-41=89" ]
Current State: 89:[33, 41, 10, 20], Operations: [] Exploring Operation: 33-20=13, Resulting Numbers: [41, 10, 13] Generated Node #2: [41, 10, 13] from Operation: 33-20=13 Current State: 89:[41, 10, 13], Operations: ['33-20=13'] Exploring Operation: 10*13=130, Resulting Numbers: [41, 130] Generated Node #3: [41, 130] from Operation: 10*13=130 Current State: 89:[41, 130], Operations: ['33-20=13', '10*13=130'] Exploring Operation: 130-41=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 11, 81, 71, 49 ]
83
[ "71-49=22", "22/11=2", "81+2=83" ]
Current State: 83:[11, 81, 71, 49], Operations: [] Exploring Operation: 71-49=22, Resulting Numbers: [11, 81, 22] Generated Node #2: [11, 81, 22] from Operation: 71-49=22 Current State: 83:[11, 81, 22], Operations: ['71-49=22'] Exploring Operation: 22/11=2, Resulting Numbers: [81, 2] Generated Node #3: [81, 2] from Operation: 22/11=2 Current State: 83:[81, 2], Operations: ['71-49=22', '22/11=2'] Exploring Operation: 81+2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 82, 46, 13, 85 ]
30
[ "82+46=128", "13+85=98", "128-98=30" ]
Current State: 30:[82, 46, 13, 85], Operations: [] Exploring Operation: 82+46=128, Resulting Numbers: [13, 85, 128] Generated Node #2: [13, 85, 128] from Operation: 82+46=128 Current State: 30:[13, 85, 128], Operations: ['82+46=128'] Exploring Operation: 13+85=98, Resulting Numbers: [128, 98] Generated Node #3: [128, 98] from Operation: 13+85=98 Current State: 30:[128, 98], Operations: ['82+46=128', '13+85=98'] Exploring Operation: 128-98=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 3, 14, 40, 35 ]
27
[ "40-14=26", "35-26=9", "3*9=27" ]
Current State: 27:[3, 14, 40, 35], Operations: [] Exploring Operation: 40-14=26, Resulting Numbers: [3, 35, 26] Generated Node #2: [3, 35, 26] from Operation: 40-14=26 Current State: 27:[3, 35, 26], Operations: ['40-14=26'] Exploring Operation: 35-26=9, Resulting Numbers: [3, 9] Generated Node #3: [3, 9] from Operation: 35-26=9 Current State: 27:[3, 9], Operations: ['40-14=26', '35-26=9'] Exploring Operation: 3*9=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 18, 5, 15, 57 ]
24
[ "18-15=3", "57/3=19", "5+19=24" ]
Current State: 24:[18, 5, 15, 57], Operations: [] Exploring Operation: 18-15=3, Resulting Numbers: [5, 57, 3] Generated Node #2: [5, 57, 3] from Operation: 18-15=3 Current State: 24:[5, 57, 3], Operations: ['18-15=3'] Exploring Operation: 57/3=19, Resulting Numbers: [5, 19] Generated Node #3: [5, 19] from Operation: 57/3=19 Current State: 24:[5, 19], Operations: ['18-15=3', '57/3=19'] Exploring Operation: 5+19=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 30, 56, 82, 71 ]
54
[ "71-30=41", "82/41=2", "56-2=54" ]
Current State: 54:[30, 56, 82, 71], Operations: [] Exploring Operation: 71-30=41, Resulting Numbers: [56, 82, 41] Generated Node #2: [56, 82, 41] from Operation: 71-30=41 Current State: 54:[56, 82, 41], Operations: ['71-30=41'] Exploring Operation: 82/41=2, Resulting Numbers: [56, 2] Generated Node #3: [56, 2] from Operation: 82/41=2 Current State: 54:[56, 2], Operations: ['71-30=41', '82/41=2'] Exploring Operation: 56-2=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 2, 13, 55, 34 ]
50
[ "55-13=42", "2*42=84", "84-34=50" ]
Current State: 50:[2, 13, 55, 34], Operations: [] Exploring Operation: 55-13=42, Resulting Numbers: [2, 34, 42] Generated Node #2: [2, 34, 42] from Operation: 55-13=42 Current State: 50:[2, 34, 42], Operations: ['55-13=42'] Exploring Operation: 2*42=84, Resulting Numbers: [34, 84] Generated Node #3: [34, 84] from Operation: 2*42=84 Current State: 50:[34, 84], Operations: ['55-13=42', '2*42=84'] Exploring Operation: 84-34=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 65, 51, 74, 75 ]
33
[ "65+51=116", "74+75=149", "149-116=33" ]
Current State: 33:[65, 51, 74, 75], Operations: [] Exploring Operation: 65+51=116, Resulting Numbers: [74, 75, 116] Generated Node #2: [74, 75, 116] from Operation: 65+51=116 Current State: 33:[74, 75, 116], Operations: ['65+51=116'] Exploring Operation: 74+75=149, Resulting Numbers: [116, 149] Generated Node #3: [116, 149] from Operation: 74+75=149 Current State: 33:[116, 149], Operations: ['65+51=116', '74+75=149'] Exploring Operation: 149-116=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 69, 72, 48, 57 ]
68
[ "69-57=12", "48/12=4", "72-4=68" ]
Current State: 68:[69, 72, 48, 57], Operations: [] Exploring Operation: 69-57=12, Resulting Numbers: [72, 48, 12] Generated Node #2: [72, 48, 12] from Operation: 69-57=12 Current State: 68:[72, 48, 12], Operations: ['69-57=12'] Exploring Operation: 48/12=4, Resulting Numbers: [72, 4] Generated Node #3: [72, 4] from Operation: 48/12=4 Current State: 68:[72, 4], Operations: ['69-57=12', '48/12=4'] Exploring Operation: 72-4=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 78, 50, 36, 39 ]
84
[ "78-50=28", "39-36=3", "28*3=84" ]
Current State: 84:[78, 50, 36, 39], Operations: [] Exploring Operation: 78-50=28, Resulting Numbers: [36, 39, 28] Generated Node #2: [36, 39, 28] from Operation: 78-50=28 Current State: 84:[36, 39, 28], Operations: ['78-50=28'] Exploring Operation: 39-36=3, Resulting Numbers: [28, 3] Generated Node #3: [28, 3] from Operation: 39-36=3 Current State: 84:[28, 3], Operations: ['78-50=28', '39-36=3'] Exploring Operation: 28*3=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 29, 83, 23, 12 ]
24
[ "83-23=60", "60/12=5", "29-5=24" ]
Current State: 24:[29, 83, 23, 12], Operations: [] Exploring Operation: 83-23=60, Resulting Numbers: [29, 12, 60] Generated Node #2: [29, 12, 60] from Operation: 83-23=60 Current State: 24:[29, 12, 60], Operations: ['83-23=60'] Exploring Operation: 60/12=5, Resulting Numbers: [29, 5] Generated Node #3: [29, 5] from Operation: 60/12=5 Current State: 24:[29, 5], Operations: ['83-23=60', '60/12=5'] Exploring Operation: 29-5=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 62, 91, 7, 15 ]
64
[ "62+15=77", "91/7=13", "77-13=64" ]
Current State: 64:[62, 91, 7, 15], Operations: [] Exploring Operation: 62+15=77, Resulting Numbers: [91, 7, 77] Generated Node #2: [91, 7, 77] from Operation: 62+15=77 Current State: 64:[91, 7, 77], Operations: ['62+15=77'] Exploring Operation: 91/7=13, Resulting Numbers: [77, 13] Generated Node #3: [77, 13] from Operation: 91/7=13 Current State: 64:[77, 13], Operations: ['62+15=77', '91/7=13'] Exploring Operation: 77-13=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 13, 64, 78, 64 ]
92
[ "13+78=91", "64/64=1", "91+1=92" ]
Current State: 92:[13, 64, 78, 64], Operations: [] Exploring Operation: 13+78=91, Resulting Numbers: [64, 64, 91] Generated Node #2: [64, 64, 91] from Operation: 13+78=91 Current State: 92:[64, 64, 91], Operations: ['13+78=91'] Exploring Operation: 64/64=1, Resulting Numbers: [91, 1] Generated Node #3: [91, 1] from Operation: 64/64=1 Current State: 92:[91, 1], Operations: ['13+78=91', '64/64=1'] Exploring Operation: 91+1=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 36, 95, 31, 15 ]
85
[ "36+95=131", "31+15=46", "131-46=85" ]
Current State: 85:[36, 95, 31, 15], Operations: [] Exploring Operation: 36+95=131, Resulting Numbers: [31, 15, 131] Generated Node #2: [31, 15, 131] from Operation: 36+95=131 Current State: 85:[31, 15, 131], Operations: ['36+95=131'] Exploring Operation: 31+15=46, Resulting Numbers: [131, 46] Generated Node #3: [131, 46] from Operation: 31+15=46 Current State: 85:[131, 46], Operations: ['36+95=131', '31+15=46'] Exploring Operation: 131-46=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 1, 54, 96, 68 ]
83
[ "1+54=55", "96-68=28", "55+28=83" ]
Current State: 83:[1, 54, 96, 68], Operations: [] Exploring Operation: 1+54=55, Resulting Numbers: [96, 68, 55] Generated Node #2: [96, 68, 55] from Operation: 1+54=55 Current State: 83:[96, 68, 55], Operations: ['1+54=55'] Exploring Operation: 96-68=28, Resulting Numbers: [55, 28] Generated Node #3: [55, 28] from Operation: 96-68=28 Current State: 83:[55, 28], Operations: ['1+54=55', '96-68=28'] Exploring Operation: 55+28=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 5, 39, 96, 2 ]
11
[ "96-39=57", "57-2=55", "55/5=11" ]
Current State: 11:[5, 39, 96, 2], Operations: [] Exploring Operation: 96-39=57, Resulting Numbers: [5, 2, 57] Generated Node #2: [5, 2, 57] from Operation: 96-39=57 Current State: 11:[5, 2, 57], Operations: ['96-39=57'] Exploring Operation: 57-2=55, Resulting Numbers: [5, 55] Generated Node #3: [5, 55] from Operation: 57-2=55 Current State: 11:[5, 55], Operations: ['96-39=57', '57-2=55'] Exploring Operation: 55/5=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 13, 56, 71, 88 ]
52
[ "13+56=69", "88-71=17", "69-17=52" ]
Current State: 52:[13, 56, 71, 88], Operations: [] Exploring Operation: 13+56=69, Resulting Numbers: [71, 88, 69] Generated Node #2: [71, 88, 69] from Operation: 13+56=69 Current State: 52:[71, 88, 69], Operations: ['13+56=69'] Exploring Operation: 88-71=17, Resulting Numbers: [69, 17] Generated Node #3: [69, 17] from Operation: 88-71=17 Current State: 52:[69, 17], Operations: ['13+56=69', '88-71=17'] Exploring Operation: 69-17=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 3, 69, 9, 1 ]
42
[ "3*9=27", "69*1=69", "69-27=42" ]
Current State: 42:[3, 69, 9, 1], Operations: [] Exploring Operation: 3*9=27, Resulting Numbers: [69, 1, 27] Generated Node #2: [69, 1, 27] from Operation: 3*9=27 Current State: 42:[69, 1, 27], Operations: ['3*9=27'] Exploring Operation: 69*1=69, Resulting Numbers: [27, 69] Generated Node #3: [27, 69] from Operation: 69*1=69 Current State: 42:[27, 69], Operations: ['3*9=27', '69*1=69'] Exploring Operation: 69-27=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 22, 29, 11, 37 ]
45
[ "22/11=2", "37*2=74", "74-29=45" ]
Current State: 45:[22, 29, 11, 37], Operations: [] Exploring Operation: 22/11=2, Resulting Numbers: [29, 37, 2] Generated Node #2: [29, 37, 2] from Operation: 22/11=2 Current State: 45:[29, 37, 2], Operations: ['22/11=2'] Exploring Operation: 37*2=74, Resulting Numbers: [29, 74] Generated Node #3: [29, 74] from Operation: 37*2=74 Current State: 45:[29, 74], Operations: ['22/11=2', '37*2=74'] Exploring Operation: 74-29=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 23, 38, 33, 2 ]
66
[ "23+33=56", "56/2=28", "38+28=66" ]
Current State: 66:[23, 38, 33, 2], Operations: [] Exploring Operation: 23+33=56, Resulting Numbers: [38, 2, 56] Generated Node #2: [38, 2, 56] from Operation: 23+33=56 Current State: 66:[38, 2, 56], Operations: ['23+33=56'] Exploring Operation: 56/2=28, Resulting Numbers: [38, 28] Generated Node #3: [38, 28] from Operation: 56/2=28 Current State: 66:[38, 28], Operations: ['23+33=56', '56/2=28'] Exploring Operation: 38+28=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 44, 38, 64, 84 ]
36
[ "44+84=128", "128/64=2", "38-2=36" ]
Current State: 36:[44, 38, 64, 84], Operations: [] Exploring Operation: 44+84=128, Resulting Numbers: [38, 64, 128] Generated Node #2: [38, 64, 128] from Operation: 44+84=128 Current State: 36:[38, 64, 128], Operations: ['44+84=128'] Exploring Operation: 128/64=2, Resulting Numbers: [38, 2] Generated Node #3: [38, 2] from Operation: 128/64=2 Current State: 36:[38, 2], Operations: ['44+84=128', '128/64=2'] Exploring Operation: 38-2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 74, 44, 84, 97 ]
43
[ "74-44=30", "97-84=13", "30+13=43" ]
Current State: 43:[74, 44, 84, 97], Operations: [] Exploring Operation: 74-44=30, Resulting Numbers: [84, 97, 30] Generated Node #2: [84, 97, 30] from Operation: 74-44=30 Current State: 43:[84, 97, 30], Operations: ['74-44=30'] Exploring Operation: 97-84=13, Resulting Numbers: [30, 13] Generated Node #3: [30, 13] from Operation: 97-84=13 Current State: 43:[30, 13], Operations: ['74-44=30', '97-84=13'] Exploring Operation: 30+13=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 9, 69, 30, 10 ]
32
[ "69*10=690", "690/30=23", "9+23=32" ]
Current State: 32:[9, 69, 30, 10], Operations: [] Exploring Operation: 69*10=690, Resulting Numbers: [9, 30, 690] Generated Node #2: [9, 30, 690] from Operation: 69*10=690 Current State: 32:[9, 30, 690], Operations: ['69*10=690'] Exploring Operation: 690/30=23, Resulting Numbers: [9, 23] Generated Node #3: [9, 23] from Operation: 690/30=23 Current State: 32:[9, 23], Operations: ['69*10=690', '690/30=23'] Exploring Operation: 9+23=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 72, 35, 63, 27 ]
40
[ "72+63=135", "135/27=5", "35+5=40" ]
Current State: 40:[72, 35, 63, 27], Operations: [] Exploring Operation: 72+63=135, Resulting Numbers: [35, 27, 135] Generated Node #2: [35, 27, 135] from Operation: 72+63=135 Current State: 40:[35, 27, 135], Operations: ['72+63=135'] Exploring Operation: 135/27=5, Resulting Numbers: [35, 5] Generated Node #3: [35, 5] from Operation: 135/27=5 Current State: 40:[35, 5], Operations: ['72+63=135', '135/27=5'] Exploring Operation: 35+5=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 28, 90, 19, 92 ]
82
[ "28-19=9", "90/9=10", "92-10=82" ]
Current State: 82:[28, 90, 19, 92], Operations: [] Exploring Operation: 28-19=9, Resulting Numbers: [90, 92, 9] Generated Node #2: [90, 92, 9] from Operation: 28-19=9 Current State: 82:[90, 92, 9], Operations: ['28-19=9'] Exploring Operation: 90/9=10, Resulting Numbers: [92, 10] Generated Node #3: [92, 10] from Operation: 90/9=10 Current State: 82:[92, 10], Operations: ['28-19=9', '90/9=10'] Exploring Operation: 92-10=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 33, 74, 47, 13 ]
74
[ "47-33=14", "14-13=1", "74*1=74" ]
Current State: 74:[33, 74, 47, 13], Operations: [] Exploring Operation: 47-33=14, Resulting Numbers: [74, 13, 14] Generated Node #2: [74, 13, 14] from Operation: 47-33=14 Current State: 74:[74, 13, 14], Operations: ['47-33=14'] Exploring Operation: 14-13=1, Resulting Numbers: [74, 1] Generated Node #3: [74, 1] from Operation: 14-13=1 Current State: 74:[74, 1], Operations: ['47-33=14', '14-13=1'] Exploring Operation: 74*1=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 54, 77, 59, 5 ]
52
[ "59-54=5", "5*5=25", "77-25=52" ]
Current State: 52:[54, 77, 59, 5], Operations: [] Exploring Operation: 59-54=5, Resulting Numbers: [77, 5, 5] Generated Node #2: [77, 5, 5] from Operation: 59-54=5 Current State: 52:[77, 5, 5], Operations: ['59-54=5'] Exploring Operation: 5*5=25, Resulting Numbers: [77, 25] Generated Node #3: [77, 25] from Operation: 5*5=25 Current State: 52:[77, 25], Operations: ['59-54=5', '5*5=25'] Exploring Operation: 77-25=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 7, 27, 77, 47 ]
50
[ "27-7=20", "77-47=30", "20+30=50" ]
Current State: 50:[7, 27, 77, 47], Operations: [] Exploring Operation: 27-7=20, Resulting Numbers: [77, 47, 20] Generated Node #2: [77, 47, 20] from Operation: 27-7=20 Current State: 50:[77, 47, 20], Operations: ['27-7=20'] Exploring Operation: 77-47=30, Resulting Numbers: [20, 30] Generated Node #3: [20, 30] from Operation: 77-47=30 Current State: 50:[20, 30], Operations: ['27-7=20', '77-47=30'] Exploring Operation: 20+30=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 34, 4, 33, 3 ]
10
[ "4*33=132", "132/3=44", "44-34=10" ]
Current State: 10:[34, 4, 33, 3], Operations: [] Exploring Operation: 4*33=132, Resulting Numbers: [34, 3, 132] Generated Node #2: [34, 3, 132] from Operation: 4*33=132 Current State: 10:[34, 3, 132], Operations: ['4*33=132'] Exploring Operation: 132/3=44, Resulting Numbers: [34, 44] Generated Node #3: [34, 44] from Operation: 132/3=44 Current State: 10:[34, 44], Operations: ['4*33=132', '132/3=44'] Exploring Operation: 44-34=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 52, 7, 76, 74 ]
43
[ "52-7=45", "76-74=2", "45-2=43" ]
Current State: 43:[52, 7, 76, 74], Operations: [] Exploring Operation: 52-7=45, Resulting Numbers: [76, 74, 45] Generated Node #2: [76, 74, 45] from Operation: 52-7=45 Current State: 43:[76, 74, 45], Operations: ['52-7=45'] Exploring Operation: 76-74=2, Resulting Numbers: [45, 2] Generated Node #3: [45, 2] from Operation: 76-74=2 Current State: 43:[45, 2], Operations: ['52-7=45', '76-74=2'] Exploring Operation: 45-2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 18, 26, 27, 21 ]
82
[ "27-21=6", "18*6=108", "108-26=82" ]
Current State: 82:[18, 26, 27, 21], Operations: [] Exploring Operation: 27-21=6, Resulting Numbers: [18, 26, 6] Generated Node #2: [18, 26, 6] from Operation: 27-21=6 Current State: 82:[18, 26, 6], Operations: ['27-21=6'] Exploring Operation: 18*6=108, Resulting Numbers: [26, 108] Generated Node #3: [26, 108] from Operation: 18*6=108 Current State: 82:[26, 108], Operations: ['27-21=6', '18*6=108'] Exploring Operation: 108-26=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 56, 68, 31, 71 ]
29
[ "56+31=87", "71-68=3", "87/3=29" ]
Current State: 29:[56, 68, 31, 71], Operations: [] Exploring Operation: 56+31=87, Resulting Numbers: [68, 71, 87] Generated Node #2: [68, 71, 87] from Operation: 56+31=87 Current State: 29:[68, 71, 87], Operations: ['56+31=87'] Exploring Operation: 71-68=3, Resulting Numbers: [87, 3] Generated Node #3: [87, 3] from Operation: 71-68=3 Current State: 29:[87, 3], Operations: ['56+31=87', '71-68=3'] Exploring Operation: 87/3=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 34, 12, 62, 9 ]
75
[ "34-12=22", "62-9=53", "22+53=75" ]
Current State: 75:[34, 12, 62, 9], Operations: [] Exploring Operation: 34-12=22, Resulting Numbers: [62, 9, 22] Generated Node #2: [62, 9, 22] from Operation: 34-12=22 Current State: 75:[62, 9, 22], Operations: ['34-12=22'] Exploring Operation: 62-9=53, Resulting Numbers: [22, 53] Generated Node #3: [22, 53] from Operation: 62-9=53 Current State: 75:[22, 53], Operations: ['34-12=22', '62-9=53'] Exploring Operation: 22+53=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 63, 91, 77, 6 ]
91
[ "91-63=28", "6*28=168", "168-77=91" ]
Current State: 91:[63, 91, 77, 6], Operations: [] Exploring Operation: 91-63=28, Resulting Numbers: [77, 6, 28] Generated Node #2: [77, 6, 28] from Operation: 91-63=28 Current State: 91:[77, 6, 28], Operations: ['91-63=28'] Exploring Operation: 6*28=168, Resulting Numbers: [77, 168] Generated Node #3: [77, 168] from Operation: 6*28=168 Current State: 91:[77, 168], Operations: ['91-63=28', '6*28=168'] Exploring Operation: 168-77=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 37, 46, 48, 54 ]
64
[ "48-46=2", "54/2=27", "37+27=64" ]
Current State: 64:[37, 46, 48, 54], Operations: [] Exploring Operation: 48-46=2, Resulting Numbers: [37, 54, 2] Generated Node #2: [37, 54, 2] from Operation: 48-46=2 Current State: 64:[37, 54, 2], Operations: ['48-46=2'] Exploring Operation: 54/2=27, Resulting Numbers: [37, 27] Generated Node #3: [37, 27] from Operation: 54/2=27 Current State: 64:[37, 27], Operations: ['48-46=2', '54/2=27'] Exploring Operation: 37+27=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 53, 50, 41, 8 ]
18
[ "53+50=103", "41+103=144", "144/8=18" ]
Current State: 18:[53, 50, 41, 8], Operations: [] Exploring Operation: 53+50=103, Resulting Numbers: [41, 8, 103] Generated Node #2: [41, 8, 103] from Operation: 53+50=103 Current State: 18:[41, 8, 103], Operations: ['53+50=103'] Exploring Operation: 41+103=144, Resulting Numbers: [8, 144] Generated Node #3: [8, 144] from Operation: 41+103=144 Current State: 18:[8, 144], Operations: ['53+50=103', '41+103=144'] Exploring Operation: 144/8=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 50, 36, 60, 48 ]
82
[ "50*60=3000", "3000-48=2952", "2952/36=82" ]
Current State: 82:[50, 36, 60, 48], Operations: [] Exploring Operation: 50*60=3000, Resulting Numbers: [36, 48, 3000] Generated Node #2: [36, 48, 3000] from Operation: 50*60=3000 Current State: 82:[36, 48, 3000], Operations: ['50*60=3000'] Exploring Operation: 3000-48=2952, Resulting Numbers: [36, 2952] Generated Node #3: [36, 2952] from Operation: 3000-48=2952 Current State: 82:[36, 2952], Operations: ['50*60=3000', '3000-48=2952'] Exploring Operation: 2952/36=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 85, 51, 12, 50 ]
72
[ "85-51=34", "50-12=38", "34+38=72" ]
Current State: 72:[85, 51, 12, 50], Operations: [] Exploring Operation: 85-51=34, Resulting Numbers: [12, 50, 34] Generated Node #2: [12, 50, 34] from Operation: 85-51=34 Current State: 72:[12, 50, 34], Operations: ['85-51=34'] Exploring Operation: 50-12=38, Resulting Numbers: [34, 38] Generated Node #3: [34, 38] from Operation: 50-12=38 Current State: 72:[34, 38], Operations: ['85-51=34', '50-12=38'] Exploring Operation: 34+38=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 90, 10, 76, 64 ]
45
[ "76-10=66", "66-64=2", "90/2=45" ]
Current State: 45:[90, 10, 76, 64], Operations: [] Exploring Operation: 76-10=66, Resulting Numbers: [90, 64, 66] Generated Node #2: [90, 64, 66] from Operation: 76-10=66 Current State: 45:[90, 64, 66], Operations: ['76-10=66'] Exploring Operation: 66-64=2, Resulting Numbers: [90, 2] Generated Node #3: [90, 2] from Operation: 66-64=2 Current State: 45:[90, 2], Operations: ['76-10=66', '66-64=2'] Exploring Operation: 90/2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 28, 59, 94, 93 ]
31
[ "59-28=31", "94-93=1", "31*1=31" ]
Current State: 31:[28, 59, 94, 93], Operations: [] Exploring Operation: 59-28=31, Resulting Numbers: [94, 93, 31] Generated Node #2: [94, 93, 31] from Operation: 59-28=31 Current State: 31:[94, 93, 31], Operations: ['59-28=31'] Exploring Operation: 94-93=1, Resulting Numbers: [31, 1] Generated Node #3: [31, 1] from Operation: 94-93=1 Current State: 31:[31, 1], Operations: ['59-28=31', '94-93=1'] Exploring Operation: 31*1=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 75, 49, 91, 14 ]
79
[ "75-49=26", "91+14=105", "105-26=79" ]
Current State: 79:[75, 49, 91, 14], Operations: [] Exploring Operation: 75-49=26, Resulting Numbers: [91, 14, 26] Generated Node #2: [91, 14, 26] from Operation: 75-49=26 Current State: 79:[91, 14, 26], Operations: ['75-49=26'] Exploring Operation: 91+14=105, Resulting Numbers: [26, 105] Generated Node #3: [26, 105] from Operation: 91+14=105 Current State: 79:[26, 105], Operations: ['75-49=26', '91+14=105'] Exploring Operation: 105-26=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 26, 57, 47, 48 ]
83
[ "26+57=83", "48-47=1", "83*1=83" ]
Current State: 83:[26, 57, 47, 48], Operations: [] Exploring Operation: 26+57=83, Resulting Numbers: [47, 48, 83] Generated Node #2: [47, 48, 83] from Operation: 26+57=83 Current State: 83:[47, 48, 83], Operations: ['26+57=83'] Exploring Operation: 48-47=1, Resulting Numbers: [83, 1] Generated Node #3: [83, 1] from Operation: 48-47=1 Current State: 83:[83, 1], Operations: ['26+57=83', '48-47=1'] Exploring Operation: 83*1=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 32, 66, 14, 24 ]
35
[ "66-24=42", "42/14=3", "32+3=35" ]
Current State: 35:[32, 66, 14, 24], Operations: [] Exploring Operation: 66-24=42, Resulting Numbers: [32, 14, 42] Generated Node #2: [32, 14, 42] from Operation: 66-24=42 Current State: 35:[32, 14, 42], Operations: ['66-24=42'] Exploring Operation: 42/14=3, Resulting Numbers: [32, 3] Generated Node #3: [32, 3] from Operation: 42/14=3 Current State: 35:[32, 3], Operations: ['66-24=42', '42/14=3'] Exploring Operation: 32+3=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 75, 26, 50, 27 ]
44
[ "50*27=1350", "1350/75=18", "26+18=44" ]
Current State: 44:[75, 26, 50, 27], Operations: [] Exploring Operation: 50*27=1350, Resulting Numbers: [75, 26, 1350] Generated Node #2: [75, 26, 1350] from Operation: 50*27=1350 Current State: 44:[75, 26, 1350], Operations: ['50*27=1350'] Exploring Operation: 1350/75=18, Resulting Numbers: [26, 18] Generated Node #3: [26, 18] from Operation: 1350/75=18 Current State: 44:[26, 18], Operations: ['50*27=1350', '1350/75=18'] Exploring Operation: 26+18=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 6, 92, 2, 31 ]
92
[ "6*31=186", "92+2=94", "186-94=92" ]
Current State: 92:[6, 92, 2, 31], Operations: [] Exploring Operation: 6*31=186, Resulting Numbers: [92, 2, 186] Generated Node #2: [92, 2, 186] from Operation: 6*31=186 Current State: 92:[92, 2, 186], Operations: ['6*31=186'] Exploring Operation: 92+2=94, Resulting Numbers: [186, 94] Generated Node #3: [186, 94] from Operation: 92+2=94 Current State: 92:[186, 94], Operations: ['6*31=186', '92+2=94'] Exploring Operation: 186-94=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 8, 54, 60, 56 ]
70
[ "54-8=46", "60+56=116", "116-46=70" ]
Current State: 70:[8, 54, 60, 56], Operations: [] Exploring Operation: 54-8=46, Resulting Numbers: [60, 56, 46] Generated Node #2: [60, 56, 46] from Operation: 54-8=46 Current State: 70:[60, 56, 46], Operations: ['54-8=46'] Exploring Operation: 60+56=116, Resulting Numbers: [46, 116] Generated Node #3: [46, 116] from Operation: 60+56=116 Current State: 70:[46, 116], Operations: ['54-8=46', '60+56=116'] Exploring Operation: 116-46=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 32, 52, 69, 57 ]
42
[ "32+52=84", "69+57=126", "126-84=42" ]
Current State: 42:[32, 52, 69, 57], Operations: [] Exploring Operation: 32+52=84, Resulting Numbers: [69, 57, 84] Generated Node #2: [69, 57, 84] from Operation: 32+52=84 Current State: 42:[69, 57, 84], Operations: ['32+52=84'] Exploring Operation: 69+57=126, Resulting Numbers: [84, 126] Generated Node #3: [84, 126] from Operation: 69+57=126 Current State: 42:[84, 126], Operations: ['32+52=84', '69+57=126'] Exploring Operation: 126-84=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 8, 19, 18, 10 ]
56
[ "10-8=2", "19*2=38", "18+38=56" ]
Current State: 56:[8, 19, 18, 10], Operations: [] Exploring Operation: 10-8=2, Resulting Numbers: [19, 18, 2] Generated Node #2: [19, 18, 2] from Operation: 10-8=2 Current State: 56:[19, 18, 2], Operations: ['10-8=2'] Exploring Operation: 19*2=38, Resulting Numbers: [18, 38] Generated Node #3: [18, 38] from Operation: 19*2=38 Current State: 56:[18, 38], Operations: ['10-8=2', '19*2=38'] Exploring Operation: 18+38=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 52, 10, 74, 53 ]
41
[ "52+10=62", "74-53=21", "62-21=41" ]
Current State: 41:[52, 10, 74, 53], Operations: [] Exploring Operation: 52+10=62, Resulting Numbers: [74, 53, 62] Generated Node #2: [74, 53, 62] from Operation: 52+10=62 Current State: 41:[74, 53, 62], Operations: ['52+10=62'] Exploring Operation: 74-53=21, Resulting Numbers: [62, 21] Generated Node #3: [62, 21] from Operation: 74-53=21 Current State: 41:[62, 21], Operations: ['52+10=62', '74-53=21'] Exploring Operation: 62-21=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 92, 30, 2, 78 ]
68
[ "78-30=48", "48/2=24", "92-24=68" ]
Current State: 68:[92, 30, 2, 78], Operations: [] Exploring Operation: 78-30=48, Resulting Numbers: [92, 2, 48] Generated Node #2: [92, 2, 48] from Operation: 78-30=48 Current State: 68:[92, 2, 48], Operations: ['78-30=48'] Exploring Operation: 48/2=24, Resulting Numbers: [92, 24] Generated Node #3: [92, 24] from Operation: 48/2=24 Current State: 68:[92, 24], Operations: ['78-30=48', '48/2=24'] Exploring Operation: 92-24=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 25, 4, 97, 52 ]
49
[ "25*4=100", "97+52=149", "149-100=49" ]
Current State: 49:[25, 4, 97, 52], Operations: [] Exploring Operation: 25*4=100, Resulting Numbers: [97, 52, 100] Generated Node #2: [97, 52, 100] from Operation: 25*4=100 Current State: 49:[97, 52, 100], Operations: ['25*4=100'] Exploring Operation: 97+52=149, Resulting Numbers: [100, 149] Generated Node #3: [100, 149] from Operation: 97+52=149 Current State: 49:[100, 149], Operations: ['25*4=100', '97+52=149'] Exploring Operation: 149-100=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 84, 5, 54, 48 ]
23
[ "84-5=79", "54+48=102", "102-79=23" ]
Current State: 23:[84, 5, 54, 48], Operations: [] Exploring Operation: 84-5=79, Resulting Numbers: [54, 48, 79] Generated Node #2: [54, 48, 79] from Operation: 84-5=79 Current State: 23:[54, 48, 79], Operations: ['84-5=79'] Exploring Operation: 54+48=102, Resulting Numbers: [79, 102] Generated Node #3: [79, 102] from Operation: 54+48=102 Current State: 23:[79, 102], Operations: ['84-5=79', '54+48=102'] Exploring Operation: 102-79=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 63, 76, 55, 52 ]
81
[ "63-52=11", "55/11=5", "76+5=81" ]
Current State: 81:[63, 76, 55, 52], Operations: [] Exploring Operation: 63-52=11, Resulting Numbers: [76, 55, 11] Generated Node #2: [76, 55, 11] from Operation: 63-52=11 Current State: 81:[76, 55, 11], Operations: ['63-52=11'] Exploring Operation: 55/11=5, Resulting Numbers: [76, 5] Generated Node #3: [76, 5] from Operation: 55/11=5 Current State: 81:[76, 5], Operations: ['63-52=11', '55/11=5'] Exploring Operation: 76+5=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 3, 74, 93, 37 ]
94
[ "3+93=96", "74/37=2", "96-2=94" ]
Current State: 94:[3, 74, 93, 37], Operations: [] Exploring Operation: 3+93=96, Resulting Numbers: [74, 37, 96] Generated Node #2: [74, 37, 96] from Operation: 3+93=96 Current State: 94:[74, 37, 96], Operations: ['3+93=96'] Exploring Operation: 74/37=2, Resulting Numbers: [96, 2] Generated Node #3: [96, 2] from Operation: 74/37=2 Current State: 94:[96, 2], Operations: ['3+93=96', '74/37=2'] Exploring Operation: 96-2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 43, 4, 32, 37 ]
63
[ "37-32=5", "4*5=20", "43+20=63" ]
Current State: 63:[43, 4, 32, 37], Operations: [] Exploring Operation: 37-32=5, Resulting Numbers: [43, 4, 5] Generated Node #2: [43, 4, 5] from Operation: 37-32=5 Current State: 63:[43, 4, 5], Operations: ['37-32=5'] Exploring Operation: 4*5=20, Resulting Numbers: [43, 20] Generated Node #3: [43, 20] from Operation: 4*5=20 Current State: 63:[43, 20], Operations: ['37-32=5', '4*5=20'] Exploring Operation: 43+20=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 42, 61, 35, 93 ]
39
[ "61-42=19", "93-35=58", "58-19=39" ]
Current State: 39:[42, 61, 35, 93], Operations: [] Exploring Operation: 61-42=19, Resulting Numbers: [35, 93, 19] Generated Node #2: [35, 93, 19] from Operation: 61-42=19 Current State: 39:[35, 93, 19], Operations: ['61-42=19'] Exploring Operation: 93-35=58, Resulting Numbers: [19, 58] Generated Node #3: [19, 58] from Operation: 93-35=58 Current State: 39:[19, 58], Operations: ['61-42=19', '93-35=58'] Exploring Operation: 58-19=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 55, 27, 61, 74 ]
50
[ "61+74=135", "135/27=5", "55-5=50" ]
Current State: 50:[55, 27, 61, 74], Operations: [] Exploring Operation: 61+74=135, Resulting Numbers: [55, 27, 135] Generated Node #2: [55, 27, 135] from Operation: 61+74=135 Current State: 50:[55, 27, 135], Operations: ['61+74=135'] Exploring Operation: 135/27=5, Resulting Numbers: [55, 5] Generated Node #3: [55, 5] from Operation: 135/27=5 Current State: 50:[55, 5], Operations: ['61+74=135', '135/27=5'] Exploring Operation: 55-5=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 58, 49, 42, 40 ]
18
[ "58-49=9", "42-40=2", "9*2=18" ]
Current State: 18:[58, 49, 42, 40], Operations: [] Exploring Operation: 58-49=9, Resulting Numbers: [42, 40, 9] Generated Node #2: [42, 40, 9] from Operation: 58-49=9 Current State: 18:[42, 40, 9], Operations: ['58-49=9'] Exploring Operation: 42-40=2, Resulting Numbers: [9, 2] Generated Node #3: [9, 2] from Operation: 42-40=2 Current State: 18:[9, 2], Operations: ['58-49=9', '42-40=2'] Exploring Operation: 9*2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 10, 45, 3, 23 ]
75
[ "10+45=55", "23-3=20", "55+20=75" ]
Current State: 75:[10, 45, 3, 23], Operations: [] Exploring Operation: 10+45=55, Resulting Numbers: [3, 23, 55] Generated Node #2: [3, 23, 55] from Operation: 10+45=55 Current State: 75:[3, 23, 55], Operations: ['10+45=55'] Exploring Operation: 23-3=20, Resulting Numbers: [55, 20] Generated Node #3: [55, 20] from Operation: 23-3=20 Current State: 75:[55, 20], Operations: ['10+45=55', '23-3=20'] Exploring Operation: 55+20=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 30, 60, 93, 87 ]
96
[ "30+60=90", "93-87=6", "90+6=96" ]
Current State: 96:[30, 60, 93, 87], Operations: [] Exploring Operation: 30+60=90, Resulting Numbers: [93, 87, 90] Generated Node #2: [93, 87, 90] from Operation: 30+60=90 Current State: 96:[93, 87, 90], Operations: ['30+60=90'] Exploring Operation: 93-87=6, Resulting Numbers: [90, 6] Generated Node #3: [90, 6] from Operation: 93-87=6 Current State: 96:[90, 6], Operations: ['30+60=90', '93-87=6'] Exploring Operation: 90+6=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 12, 25, 26, 99 ]
88
[ "12+25=37", "26+99=125", "125-37=88" ]
Current State: 88:[12, 25, 26, 99], Operations: [] Exploring Operation: 12+25=37, Resulting Numbers: [26, 99, 37] Generated Node #2: [26, 99, 37] from Operation: 12+25=37 Current State: 88:[26, 99, 37], Operations: ['12+25=37'] Exploring Operation: 26+99=125, Resulting Numbers: [37, 125] Generated Node #3: [37, 125] from Operation: 26+99=125 Current State: 88:[37, 125], Operations: ['12+25=37', '26+99=125'] Exploring Operation: 125-37=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 83, 79, 11, 15 ]
77
[ "79+11=90", "90/15=6", "83-6=77" ]
Current State: 77:[83, 79, 11, 15], Operations: [] Exploring Operation: 79+11=90, Resulting Numbers: [83, 15, 90] Generated Node #2: [83, 15, 90] from Operation: 79+11=90 Current State: 77:[83, 15, 90], Operations: ['79+11=90'] Exploring Operation: 90/15=6, Resulting Numbers: [83, 6] Generated Node #3: [83, 6] from Operation: 90/15=6 Current State: 77:[83, 6], Operations: ['79+11=90', '90/15=6'] Exploring Operation: 83-6=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 2, 50, 58, 74 ]
20
[ "50+58=108", "108/2=54", "74-54=20" ]
Current State: 20:[2, 50, 58, 74], Operations: [] Exploring Operation: 50+58=108, Resulting Numbers: [2, 74, 108] Generated Node #2: [2, 74, 108] from Operation: 50+58=108 Current State: 20:[2, 74, 108], Operations: ['50+58=108'] Exploring Operation: 108/2=54, Resulting Numbers: [74, 54] Generated Node #3: [74, 54] from Operation: 108/2=54 Current State: 20:[74, 54], Operations: ['50+58=108', '108/2=54'] Exploring Operation: 74-54=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 41, 54, 71, 60 ]
36
[ "41+54=95", "71+60=131", "131-95=36" ]
Current State: 36:[41, 54, 71, 60], Operations: [] Exploring Operation: 41+54=95, Resulting Numbers: [71, 60, 95] Generated Node #2: [71, 60, 95] from Operation: 41+54=95 Current State: 36:[71, 60, 95], Operations: ['41+54=95'] Exploring Operation: 71+60=131, Resulting Numbers: [95, 131] Generated Node #3: [95, 131] from Operation: 71+60=131 Current State: 36:[95, 131], Operations: ['41+54=95', '71+60=131'] Exploring Operation: 131-95=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 47, 26, 27, 52 ]
58
[ "47-26=21", "27+52=79", "79-21=58" ]
Current State: 58:[47, 26, 27, 52], Operations: [] Exploring Operation: 47-26=21, Resulting Numbers: [27, 52, 21] Generated Node #2: [27, 52, 21] from Operation: 47-26=21 Current State: 58:[27, 52, 21], Operations: ['47-26=21'] Exploring Operation: 27+52=79, Resulting Numbers: [21, 79] Generated Node #3: [21, 79] from Operation: 27+52=79 Current State: 58:[21, 79], Operations: ['47-26=21', '27+52=79'] Exploring Operation: 79-21=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 82, 65, 2, 89 ]
36
[ "82-65=17", "89-17=72", "72/2=36" ]
Current State: 36:[82, 65, 2, 89], Operations: [] Exploring Operation: 82-65=17, Resulting Numbers: [2, 89, 17] Generated Node #2: [2, 89, 17] from Operation: 82-65=17 Current State: 36:[2, 89, 17], Operations: ['82-65=17'] Exploring Operation: 89-17=72, Resulting Numbers: [2, 72] Generated Node #3: [2, 72] from Operation: 89-17=72 Current State: 36:[2, 72], Operations: ['82-65=17', '89-17=72'] Exploring Operation: 72/2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 56, 72, 31, 23 ]
70
[ "72-56=16", "31+23=54", "16+54=70" ]
Current State: 70:[56, 72, 31, 23], Operations: [] Exploring Operation: 72-56=16, Resulting Numbers: [31, 23, 16] Generated Node #2: [31, 23, 16] from Operation: 72-56=16 Current State: 70:[31, 23, 16], Operations: ['72-56=16'] Exploring Operation: 31+23=54, Resulting Numbers: [16, 54] Generated Node #3: [16, 54] from Operation: 31+23=54 Current State: 70:[16, 54], Operations: ['72-56=16', '31+23=54'] Exploring Operation: 16+54=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 59, 95, 43, 91 ]
84
[ "95-59=36", "91-43=48", "36+48=84" ]
Current State: 84:[59, 95, 43, 91], Operations: [] Exploring Operation: 95-59=36, Resulting Numbers: [43, 91, 36] Generated Node #2: [43, 91, 36] from Operation: 95-59=36 Current State: 84:[43, 91, 36], Operations: ['95-59=36'] Exploring Operation: 91-43=48, Resulting Numbers: [36, 48] Generated Node #3: [36, 48] from Operation: 91-43=48 Current State: 84:[36, 48], Operations: ['95-59=36', '91-43=48'] Exploring Operation: 36+48=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 93, 3, 23, 40 ]
94
[ "93/3=31", "23+40=63", "31+63=94" ]
Current State: 94:[93, 3, 23, 40], Operations: [] Exploring Operation: 93/3=31, Resulting Numbers: [23, 40, 31] Generated Node #2: [23, 40, 31] from Operation: 93/3=31 Current State: 94:[23, 40, 31], Operations: ['93/3=31'] Exploring Operation: 23+40=63, Resulting Numbers: [31, 63] Generated Node #3: [31, 63] from Operation: 23+40=63 Current State: 94:[31, 63], Operations: ['93/3=31', '23+40=63'] Exploring Operation: 31+63=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 17, 40, 53, 3 ]
79
[ "40-17=23", "53+3=56", "23+56=79" ]
Current State: 79:[17, 40, 53, 3], Operations: [] Exploring Operation: 40-17=23, Resulting Numbers: [53, 3, 23] Generated Node #2: [53, 3, 23] from Operation: 40-17=23 Current State: 79:[53, 3, 23], Operations: ['40-17=23'] Exploring Operation: 53+3=56, Resulting Numbers: [23, 56] Generated Node #3: [23, 56] from Operation: 53+3=56 Current State: 79:[23, 56], Operations: ['40-17=23', '53+3=56'] Exploring Operation: 23+56=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 58, 34, 36, 82 ]
17
[ "36-34=2", "82/2=41", "58-41=17" ]
Current State: 17:[58, 34, 36, 82], Operations: [] Exploring Operation: 36-34=2, Resulting Numbers: [58, 82, 2] Generated Node #2: [58, 82, 2] from Operation: 36-34=2 Current State: 17:[58, 82, 2], Operations: ['36-34=2'] Exploring Operation: 82/2=41, Resulting Numbers: [58, 41] Generated Node #3: [58, 41] from Operation: 82/2=41 Current State: 17:[58, 41], Operations: ['36-34=2', '82/2=41'] Exploring Operation: 58-41=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 83, 28, 15, 83 ]
28
[ "83-83=0", "15*0=0", "28+0=28" ]
Current State: 28:[83, 28, 15, 83], Operations: [] Exploring Operation: 83-83=0, Resulting Numbers: [28, 15, 0] Generated Node #2: [28, 15, 0] from Operation: 83-83=0 Current State: 28:[28, 15, 0], Operations: ['83-83=0'] Exploring Operation: 15*0=0, Resulting Numbers: [28, 0] Generated Node #3: [28, 0] from Operation: 15*0=0 Current State: 28:[28, 0], Operations: ['83-83=0', '15*0=0'] Exploring Operation: 28+0=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 6, 6, 95, 43 ]
43
[ "6-6=0", "95*0=0", "43+0=43" ]
Current State: 43:[6, 6, 95, 43], Operations: [] Exploring Operation: 6-6=0, Resulting Numbers: [95, 43, 0] Generated Node #2: [95, 43, 0] from Operation: 6-6=0 Current State: 43:[95, 43, 0], Operations: ['6-6=0'] Exploring Operation: 95*0=0, Resulting Numbers: [43, 0] Generated Node #3: [43, 0] from Operation: 95*0=0 Current State: 43:[43, 0], Operations: ['6-6=0', '95*0=0'] Exploring Operation: 43+0=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 44, 2, 60, 53 ]
61
[ "60-44=16", "16/2=8", "53+8=61" ]
Current State: 61:[44, 2, 60, 53], Operations: [] Exploring Operation: 60-44=16, Resulting Numbers: [2, 53, 16] Generated Node #2: [2, 53, 16] from Operation: 60-44=16 Current State: 61:[2, 53, 16], Operations: ['60-44=16'] Exploring Operation: 16/2=8, Resulting Numbers: [53, 8] Generated Node #3: [53, 8] from Operation: 16/2=8 Current State: 61:[53, 8], Operations: ['60-44=16', '16/2=8'] Exploring Operation: 53+8=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 29, 60, 75, 79 ]
65
[ "29+60=89", "75+79=154", "154-89=65" ]
Current State: 65:[29, 60, 75, 79], Operations: [] Exploring Operation: 29+60=89, Resulting Numbers: [75, 79, 89] Generated Node #2: [75, 79, 89] from Operation: 29+60=89 Current State: 65:[75, 79, 89], Operations: ['29+60=89'] Exploring Operation: 75+79=154, Resulting Numbers: [89, 154] Generated Node #3: [89, 154] from Operation: 75+79=154 Current State: 65:[89, 154], Operations: ['29+60=89', '75+79=154'] Exploring Operation: 154-89=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4