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, 91, 86, 91 ]
31
[ "91-91=0", "86*0=0", "31+0=31" ]
Current State: 31:[31, 91, 86, 91], Operations: [] Exploring Operation: 91-91=0, Resulting Numbers: [31, 86, 0] Generated Node #2: [31, 86, 0] from Operation: 91-91=0 Current State: 31:[31, 86, 0], Operations: ['91-91=0'] Exploring Operation: 86*0=0, Resulting Numbers: [31, 0] Generated Node #3: [31, 0] from Operation: 86*0=0 Current State: 31:[31, 0], Operations: ['91-91=0', '86*0=0'] Exploring Operation: 31+0=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 29, 93, 36, 67 ]
33
[ "93-29=64", "67-36=31", "64-31=33" ]
Current State: 33:[29, 93, 36, 67], Operations: [] Exploring Operation: 93-29=64, Resulting Numbers: [36, 67, 64] Generated Node #2: [36, 67, 64] from Operation: 93-29=64 Current State: 33:[36, 67, 64], Operations: ['93-29=64'] Exploring Operation: 67-36=31, Resulting Numbers: [64, 31] Generated Node #3: [64, 31] from Operation: 67-36=31 Current State: 33:[64, 31], Operations: ['93-29=64', '67-36=31'] Exploring Operation: 64-31=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 48, 65, 96, 66 ]
49
[ "48+65=113", "96+66=162", "162-113=49" ]
Current State: 49:[48, 65, 96, 66], Operations: [] Exploring Operation: 48+65=113, Resulting Numbers: [96, 66, 113] Generated Node #2: [96, 66, 113] from Operation: 48+65=113 Current State: 49:[96, 66, 113], Operations: ['48+65=113'] Exploring Operation: 96+66=162, Resulting Numbers: [113, 162] Generated Node #3: [113, 162] from Operation: 96+66=162 Current State: 49:[113, 162], Operations: ['48+65=113', '96+66=162'] Exploring Operation: 162-113=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 41, 2, 18, 84 ]
38
[ "41-18=23", "2*23=46", "84-46=38" ]
Current State: 38:[41, 2, 18, 84], Operations: [] Exploring Operation: 41-18=23, Resulting Numbers: [2, 84, 23] Generated Node #2: [2, 84, 23] from Operation: 41-18=23 Current State: 38:[2, 84, 23], Operations: ['41-18=23'] Exploring Operation: 2*23=46, Resulting Numbers: [84, 46] Generated Node #3: [84, 46] from Operation: 2*23=46 Current State: 38:[84, 46], Operations: ['41-18=23', '2*23=46'] Exploring Operation: 84-46=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 10, 74, 87, 84 ]
44
[ "87-84=3", "10*3=30", "74-30=44" ]
Current State: 44:[10, 74, 87, 84], Operations: [] Exploring Operation: 87-84=3, Resulting Numbers: [10, 74, 3] Generated Node #2: [10, 74, 3] from Operation: 87-84=3 Current State: 44:[10, 74, 3], Operations: ['87-84=3'] Exploring Operation: 10*3=30, Resulting Numbers: [74, 30] Generated Node #3: [74, 30] from Operation: 10*3=30 Current State: 44:[74, 30], Operations: ['87-84=3', '10*3=30'] Exploring Operation: 74-30=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 14, 52, 49, 77 ]
26
[ "14*52=728", "77-49=28", "728/28=26" ]
Current State: 26:[14, 52, 49, 77], Operations: [] Exploring Operation: 14*52=728, Resulting Numbers: [49, 77, 728] Generated Node #2: [49, 77, 728] from Operation: 14*52=728 Current State: 26:[49, 77, 728], Operations: ['14*52=728'] Exploring Operation: 77-49=28, Resulting Numbers: [728, 28] Generated Node #3: [728, 28] from Operation: 77-49=28 Current State: 26:[728, 28], Operations: ['14*52=728', '77-49=28'] Exploring Operation: 728/28=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 18, 58, 11, 94 ]
10
[ "18*58=1044", "11*94=1034", "1044-1034=10" ]
Current State: 10:[18, 58, 11, 94], Operations: [] Exploring Operation: 18*58=1044, Resulting Numbers: [11, 94, 1044] Generated Node #2: [11, 94, 1044] from Operation: 18*58=1044 Current State: 10:[11, 94, 1044], Operations: ['18*58=1044'] Exploring Operation: 11*94=1034, Resulting Numbers: [1044, 1034] Generated Node #3: [1044, 1034] from Operation: 11*94=1034 Current State: 10:[1044, 1034], Operations: ['18*58=1044', '11*94=1034'] Exploring Operation: 1044-1034=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 19, 43, 2, 9 ]
44
[ "19+43=62", "2*9=18", "62-18=44" ]
Current State: 44:[19, 43, 2, 9], Operations: [] Exploring Operation: 19+43=62, Resulting Numbers: [2, 9, 62] Generated Node #2: [2, 9, 62] from Operation: 19+43=62 Current State: 44:[2, 9, 62], Operations: ['19+43=62'] Exploring Operation: 2*9=18, Resulting Numbers: [62, 18] Generated Node #3: [62, 18] from Operation: 2*9=18 Current State: 44:[62, 18], Operations: ['19+43=62', '2*9=18'] Exploring Operation: 62-18=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 20, 34, 93, 62 ]
21
[ "34-20=14", "93*14=1302", "1302/62=21" ]
Current State: 21:[20, 34, 93, 62], Operations: [] Exploring Operation: 34-20=14, Resulting Numbers: [93, 62, 14] Generated Node #2: [93, 62, 14] from Operation: 34-20=14 Current State: 21:[93, 62, 14], Operations: ['34-20=14'] Exploring Operation: 93*14=1302, Resulting Numbers: [62, 1302] Generated Node #3: [62, 1302] from Operation: 93*14=1302 Current State: 21:[62, 1302], Operations: ['34-20=14', '93*14=1302'] Exploring Operation: 1302/62=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 96, 54, 54, 10 ]
69
[ "96+54=150", "150/10=15", "54+15=69" ]
Current State: 69:[96, 54, 54, 10], Operations: [] Exploring Operation: 96+54=150, Resulting Numbers: [10, 150] Generated Node #2: [10, 150] from Operation: 96+54=150 Current State: 69:[10, 150], Operations: ['96+54=150'] Exploring Operation: 150/10=15, Resulting Numbers: [15] 15,69 equal: Goal Reached Exploring Operation: 54+15=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 43, 74, 3, 11 ]
23
[ "74-43=31", "11-3=8", "31-8=23" ]
Current State: 23:[43, 74, 3, 11], Operations: [] Exploring Operation: 74-43=31, Resulting Numbers: [3, 11, 31] Generated Node #2: [3, 11, 31] from Operation: 74-43=31 Current State: 23:[3, 11, 31], Operations: ['74-43=31'] Exploring Operation: 11-3=8, Resulting Numbers: [31, 8] Generated Node #3: [31, 8] from Operation: 11-3=8 Current State: 23:[31, 8], Operations: ['74-43=31', '11-3=8'] Exploring Operation: 31-8=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 38, 34, 36, 5 ]
73
[ "38-36=2", "34*2=68", "5+68=73" ]
Current State: 73:[38, 34, 36, 5], Operations: [] Exploring Operation: 38-36=2, Resulting Numbers: [34, 5, 2] Generated Node #2: [34, 5, 2] from Operation: 38-36=2 Current State: 73:[34, 5, 2], Operations: ['38-36=2'] Exploring Operation: 34*2=68, Resulting Numbers: [5, 68] Generated Node #3: [5, 68] from Operation: 34*2=68 Current State: 73:[5, 68], Operations: ['38-36=2', '34*2=68'] Exploring Operation: 5+68=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 24, 6, 42, 41 ]
65
[ "24-6=18", "42+41=83", "83-18=65" ]
Current State: 65:[24, 6, 42, 41], Operations: [] Exploring Operation: 24-6=18, Resulting Numbers: [42, 41, 18] Generated Node #2: [42, 41, 18] from Operation: 24-6=18 Current State: 65:[42, 41, 18], Operations: ['24-6=18'] Exploring Operation: 42+41=83, Resulting Numbers: [18, 83] Generated Node #3: [18, 83] from Operation: 42+41=83 Current State: 65:[18, 83], Operations: ['24-6=18', '42+41=83'] Exploring Operation: 83-18=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 88, 90, 7, 48 ]
94
[ "90-48=42", "42/7=6", "88+6=94" ]
Current State: 94:[88, 90, 7, 48], Operations: [] Exploring Operation: 90-48=42, Resulting Numbers: [88, 7, 42] Generated Node #2: [88, 7, 42] from Operation: 90-48=42 Current State: 94:[88, 7, 42], Operations: ['90-48=42'] Exploring Operation: 42/7=6, Resulting Numbers: [88, 6] Generated Node #3: [88, 6] from Operation: 42/7=6 Current State: 94:[88, 6], Operations: ['90-48=42', '42/7=6'] Exploring Operation: 88+6=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 38, 96, 76, 70 ]
73
[ "70-38=32", "96/32=3", "76-3=73" ]
Current State: 73:[38, 96, 76, 70], Operations: [] Exploring Operation: 70-38=32, Resulting Numbers: [96, 76, 32] Generated Node #2: [96, 76, 32] from Operation: 70-38=32 Current State: 73:[96, 76, 32], Operations: ['70-38=32'] Exploring Operation: 96/32=3, Resulting Numbers: [76, 3] Generated Node #3: [76, 3] from Operation: 96/32=3 Current State: 73:[76, 3], Operations: ['70-38=32', '96/32=3'] Exploring Operation: 76-3=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 65, 99, 9, 14 ]
92
[ "99-65=34", "9*14=126", "126-34=92" ]
Current State: 92:[65, 99, 9, 14], Operations: [] Exploring Operation: 99-65=34, Resulting Numbers: [9, 14, 34] Generated Node #2: [9, 14, 34] from Operation: 99-65=34 Current State: 92:[9, 14, 34], Operations: ['99-65=34'] Exploring Operation: 9*14=126, Resulting Numbers: [34, 126] Generated Node #3: [34, 126] from Operation: 9*14=126 Current State: 92:[34, 126], Operations: ['99-65=34', '9*14=126'] Exploring Operation: 126-34=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 3, 69, 1, 57 ]
24
[ "3-1=2", "69-57=12", "2*12=24" ]
Current State: 24:[3, 69, 1, 57], Operations: [] Exploring Operation: 3-1=2, Resulting Numbers: [69, 57, 2] Generated Node #2: [69, 57, 2] from Operation: 3-1=2 Current State: 24:[69, 57, 2], Operations: ['3-1=2'] Exploring Operation: 69-57=12, Resulting Numbers: [2, 12] Generated Node #3: [2, 12] from Operation: 69-57=12 Current State: 24:[2, 12], Operations: ['3-1=2', '69-57=12'] Exploring Operation: 2*12=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 74, 26, 31, 3 ]
27
[ "74+31=105", "26*3=78", "105-78=27" ]
Current State: 27:[74, 26, 31, 3], Operations: [] Exploring Operation: 74+31=105, Resulting Numbers: [26, 3, 105] Generated Node #2: [26, 3, 105] from Operation: 74+31=105 Current State: 27:[26, 3, 105], Operations: ['74+31=105'] Exploring Operation: 26*3=78, Resulting Numbers: [105, 78] Generated Node #3: [105, 78] from Operation: 26*3=78 Current State: 27:[105, 78], Operations: ['74+31=105', '26*3=78'] Exploring Operation: 105-78=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 84, 14, 13, 95 ]
39
[ "84+14=98", "98-95=3", "13*3=39" ]
Current State: 39:[84, 14, 13, 95], Operations: [] Exploring Operation: 84+14=98, Resulting Numbers: [13, 95, 98] Generated Node #2: [13, 95, 98] from Operation: 84+14=98 Current State: 39:[13, 95, 98], Operations: ['84+14=98'] Exploring Operation: 98-95=3, Resulting Numbers: [13, 3] Generated Node #3: [13, 3] from Operation: 98-95=3 Current State: 39:[13, 3], Operations: ['84+14=98', '98-95=3'] Exploring Operation: 13*3=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 18, 78, 52, 64 ]
37
[ "18*78=1404", "1404/52=27", "64-27=37" ]
Current State: 37:[18, 78, 52, 64], Operations: [] Exploring Operation: 18*78=1404, Resulting Numbers: [52, 64, 1404] Generated Node #2: [52, 64, 1404] from Operation: 18*78=1404 Current State: 37:[52, 64, 1404], Operations: ['18*78=1404'] Exploring Operation: 1404/52=27, Resulting Numbers: [64, 27] Generated Node #3: [64, 27] from Operation: 1404/52=27 Current State: 37:[64, 27], Operations: ['18*78=1404', '1404/52=27'] Exploring Operation: 64-27=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 74, 47, 10, 48 ]
50
[ "47-10=37", "74/37=2", "48+2=50" ]
Current State: 50:[74, 47, 10, 48], Operations: [] Exploring Operation: 47-10=37, Resulting Numbers: [74, 48, 37] Generated Node #2: [74, 48, 37] from Operation: 47-10=37 Current State: 50:[74, 48, 37], Operations: ['47-10=37'] Exploring Operation: 74/37=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 74/37=2 Current State: 50:[48, 2], Operations: ['47-10=37', '74/37=2'] Exploring Operation: 48+2=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 8, 10, 26, 42 ]
58
[ "10-8=2", "42*2=84", "84-26=58" ]
Current State: 58:[8, 10, 26, 42], Operations: [] Exploring Operation: 10-8=2, Resulting Numbers: [26, 42, 2] Generated Node #2: [26, 42, 2] from Operation: 10-8=2 Current State: 58:[26, 42, 2], Operations: ['10-8=2'] Exploring Operation: 42*2=84, Resulting Numbers: [26, 84] Generated Node #3: [26, 84] from Operation: 42*2=84 Current State: 58:[26, 84], Operations: ['10-8=2', '42*2=84'] Exploring Operation: 84-26=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 98, 1, 11, 29 ]
57
[ "98-1=97", "11+29=40", "97-40=57" ]
Current State: 57:[98, 1, 11, 29], Operations: [] Exploring Operation: 98-1=97, Resulting Numbers: [11, 29, 97] Generated Node #2: [11, 29, 97] from Operation: 98-1=97 Current State: 57:[11, 29, 97], Operations: ['98-1=97'] Exploring Operation: 11+29=40, Resulting Numbers: [97, 40] Generated Node #3: [97, 40] from Operation: 11+29=40 Current State: 57:[97, 40], Operations: ['98-1=97', '11+29=40'] Exploring Operation: 97-40=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 36, 67, 65, 11 ]
49
[ "36+67=103", "65-11=54", "103-54=49" ]
Current State: 49:[36, 67, 65, 11], Operations: [] Exploring Operation: 36+67=103, Resulting Numbers: [65, 11, 103] Generated Node #2: [65, 11, 103] from Operation: 36+67=103 Current State: 49:[65, 11, 103], Operations: ['36+67=103'] Exploring Operation: 65-11=54, Resulting Numbers: [103, 54] Generated Node #3: [103, 54] from Operation: 65-11=54 Current State: 49:[103, 54], Operations: ['36+67=103', '65-11=54'] Exploring Operation: 103-54=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 12, 93, 25, 15 ]
95
[ "12+93=105", "25-15=10", "105-10=95" ]
Current State: 95:[12, 93, 25, 15], Operations: [] Exploring Operation: 12+93=105, Resulting Numbers: [25, 15, 105] Generated Node #2: [25, 15, 105] from Operation: 12+93=105 Current State: 95:[25, 15, 105], Operations: ['12+93=105'] Exploring Operation: 25-15=10, Resulting Numbers: [105, 10] Generated Node #3: [105, 10] from Operation: 25-15=10 Current State: 95:[105, 10], Operations: ['12+93=105', '25-15=10'] Exploring Operation: 105-10=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 47, 61, 69, 15 ]
54
[ "47+61=108", "69-15=54", "108-54=54" ]
Current State: 54:[47, 61, 69, 15], Operations: [] Exploring Operation: 47+61=108, Resulting Numbers: [69, 15, 108] Generated Node #2: [69, 15, 108] from Operation: 47+61=108 Current State: 54:[69, 15, 108], Operations: ['47+61=108'] Exploring Operation: 69-15=54, Resulting Numbers: [108, 54] Generated Node #3: [108, 54] from Operation: 69-15=54 Current State: 54:[108, 54], Operations: ['47+61=108', '69-15=54'] Exploring Operation: 108-54=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 3, 25, 46, 6 ]
86
[ "25-3=22", "6*22=132", "132-46=86" ]
Current State: 86:[3, 25, 46, 6], Operations: [] Exploring Operation: 25-3=22, Resulting Numbers: [46, 6, 22] Generated Node #2: [46, 6, 22] from Operation: 25-3=22 Current State: 86:[46, 6, 22], Operations: ['25-3=22'] Exploring Operation: 6*22=132, Resulting Numbers: [46, 132] Generated Node #3: [46, 132] from Operation: 6*22=132 Current State: 86:[46, 132], Operations: ['25-3=22', '6*22=132'] Exploring Operation: 132-46=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 40, 52, 74, 52 ]
35
[ "74-40=34", "52/52=1", "34+1=35" ]
Current State: 35:[40, 52, 74, 52], Operations: [] Exploring Operation: 74-40=34, Resulting Numbers: [52, 52, 34] Generated Node #2: [52, 52, 34] from Operation: 74-40=34 Current State: 35:[52, 52, 34], Operations: ['74-40=34'] Exploring Operation: 52/52=1, Resulting Numbers: [34, 1] Generated Node #3: [34, 1] from Operation: 52/52=1 Current State: 35:[34, 1], Operations: ['74-40=34', '52/52=1'] Exploring Operation: 34+1=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 23, 29, 88, 29 ]
64
[ "88-23=65", "29/29=1", "65-1=64" ]
Current State: 64:[23, 29, 88, 29], Operations: [] Exploring Operation: 88-23=65, Resulting Numbers: [29, 29, 65] Generated Node #2: [29, 29, 65] from Operation: 88-23=65 Current State: 64:[29, 29, 65], Operations: ['88-23=65'] Exploring Operation: 29/29=1, Resulting Numbers: [65, 1] Generated Node #3: [65, 1] from Operation: 29/29=1 Current State: 64:[65, 1], Operations: ['88-23=65', '29/29=1'] Exploring Operation: 65-1=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 41, 57, 69, 70 ]
97
[ "41+57=98", "70-69=1", "98-1=97" ]
Current State: 97:[41, 57, 69, 70], Operations: [] Exploring Operation: 41+57=98, Resulting Numbers: [69, 70, 98] Generated Node #2: [69, 70, 98] from Operation: 41+57=98 Current State: 97:[69, 70, 98], Operations: ['41+57=98'] Exploring Operation: 70-69=1, Resulting Numbers: [98, 1] Generated Node #3: [98, 1] from Operation: 70-69=1 Current State: 97:[98, 1], Operations: ['41+57=98', '70-69=1'] Exploring Operation: 98-1=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 5, 3, 9, 95 ]
47
[ "5*9=45", "95-3=92", "92-45=47" ]
Current State: 47:[5, 3, 9, 95], Operations: [] Exploring Operation: 5*9=45, Resulting Numbers: [3, 95, 45] Generated Node #2: [3, 95, 45] from Operation: 5*9=45 Current State: 47:[3, 95, 45], Operations: ['5*9=45'] Exploring Operation: 95-3=92, Resulting Numbers: [45, 92] Generated Node #3: [45, 92] from Operation: 95-3=92 Current State: 47:[45, 92], Operations: ['5*9=45', '95-3=92'] Exploring Operation: 92-45=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 75, 55, 65, 12 ]
65
[ "75-65=10", "12*10=120", "120-55=65" ]
Current State: 65:[75, 55, 65, 12], Operations: [] Exploring Operation: 75-65=10, Resulting Numbers: [55, 12, 10] Generated Node #2: [55, 12, 10] from Operation: 75-65=10 Current State: 65:[55, 12, 10], Operations: ['75-65=10'] Exploring Operation: 12*10=120, Resulting Numbers: [55, 120] Generated Node #3: [55, 120] from Operation: 12*10=120 Current State: 65:[55, 120], Operations: ['75-65=10', '12*10=120'] Exploring Operation: 120-55=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 36, 51, 30, 73 ]
28
[ "51-36=15", "73-30=43", "43-15=28" ]
Current State: 28:[36, 51, 30, 73], Operations: [] Exploring Operation: 51-36=15, Resulting Numbers: [30, 73, 15] Generated Node #2: [30, 73, 15] from Operation: 51-36=15 Current State: 28:[30, 73, 15], Operations: ['51-36=15'] Exploring Operation: 73-30=43, Resulting Numbers: [15, 43] Generated Node #3: [15, 43] from Operation: 73-30=43 Current State: 28:[15, 43], Operations: ['51-36=15', '73-30=43'] Exploring Operation: 43-15=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 30, 27, 8, 6 ]
31
[ "27*8=216", "216-30=186", "186/6=31" ]
Current State: 31:[30, 27, 8, 6], Operations: [] Exploring Operation: 27*8=216, Resulting Numbers: [30, 6, 216] Generated Node #2: [30, 6, 216] from Operation: 27*8=216 Current State: 31:[30, 6, 216], Operations: ['27*8=216'] Exploring Operation: 216-30=186, Resulting Numbers: [6, 186] Generated Node #3: [6, 186] from Operation: 216-30=186 Current State: 31:[6, 186], Operations: ['27*8=216', '216-30=186'] Exploring Operation: 186/6=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 72, 19, 57, 6 ]
74
[ "57/19=3", "6/3=2", "72+2=74" ]
Current State: 74:[72, 19, 57, 6], Operations: [] Exploring Operation: 57/19=3, Resulting Numbers: [72, 6, 3] Generated Node #2: [72, 6, 3] from Operation: 57/19=3 Current State: 74:[72, 6, 3], Operations: ['57/19=3'] Exploring Operation: 6/3=2, Resulting Numbers: [72, 2] Generated Node #3: [72, 2] from Operation: 6/3=2 Current State: 74:[72, 2], Operations: ['57/19=3', '6/3=2'] Exploring Operation: 72+2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 58, 15, 12, 50 ]
72
[ "58+50=108", "15*12=180", "180-108=72" ]
Current State: 72:[58, 15, 12, 50], Operations: [] Exploring Operation: 58+50=108, Resulting Numbers: [15, 12, 108] Generated Node #2: [15, 12, 108] from Operation: 58+50=108 Current State: 72:[15, 12, 108], Operations: ['58+50=108'] Exploring Operation: 15*12=180, Resulting Numbers: [108, 180] Generated Node #3: [108, 180] from Operation: 15*12=180 Current State: 72:[108, 180], Operations: ['58+50=108', '15*12=180'] Exploring Operation: 180-108=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 55, 7, 10, 5 ]
64
[ "55+7=62", "10/5=2", "62+2=64" ]
Current State: 64:[55, 7, 10, 5], Operations: [] Exploring Operation: 55+7=62, Resulting Numbers: [10, 5, 62] Generated Node #2: [10, 5, 62] from Operation: 55+7=62 Current State: 64:[10, 5, 62], Operations: ['55+7=62'] Exploring Operation: 10/5=2, Resulting Numbers: [62, 2] Generated Node #3: [62, 2] from Operation: 10/5=2 Current State: 64:[62, 2], Operations: ['55+7=62', '10/5=2'] Exploring Operation: 62+2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 67, 52, 2, 36 ]
85
[ "67+52=119", "36-2=34", "119-34=85" ]
Current State: 85:[67, 52, 2, 36], Operations: [] Exploring Operation: 67+52=119, Resulting Numbers: [2, 36, 119] Generated Node #2: [2, 36, 119] from Operation: 67+52=119 Current State: 85:[2, 36, 119], Operations: ['67+52=119'] Exploring Operation: 36-2=34, Resulting Numbers: [119, 34] Generated Node #3: [119, 34] from Operation: 36-2=34 Current State: 85:[119, 34], Operations: ['67+52=119', '36-2=34'] Exploring Operation: 119-34=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 14, 93, 86, 58 ]
29
[ "93-86=7", "14/7=2", "58/2=29" ]
Current State: 29:[14, 93, 86, 58], Operations: [] Exploring Operation: 93-86=7, Resulting Numbers: [14, 58, 7] Generated Node #2: [14, 58, 7] from Operation: 93-86=7 Current State: 29:[14, 58, 7], Operations: ['93-86=7'] Exploring Operation: 14/7=2, Resulting Numbers: [58, 2] Generated Node #3: [58, 2] from Operation: 14/7=2 Current State: 29:[58, 2], Operations: ['93-86=7', '14/7=2'] Exploring Operation: 58/2=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 40, 91, 95, 59 ]
96
[ "59-40=19", "95/19=5", "91+5=96" ]
Current State: 96:[40, 91, 95, 59], Operations: [] Exploring Operation: 59-40=19, Resulting Numbers: [91, 95, 19] Generated Node #2: [91, 95, 19] from Operation: 59-40=19 Current State: 96:[91, 95, 19], Operations: ['59-40=19'] Exploring Operation: 95/19=5, Resulting Numbers: [91, 5] Generated Node #3: [91, 5] from Operation: 95/19=5 Current State: 96:[91, 5], Operations: ['59-40=19', '95/19=5'] Exploring Operation: 91+5=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 47, 96, 18, 94 ]
80
[ "94/47=2", "96-18=78", "2+78=80" ]
Current State: 80:[47, 96, 18, 94], Operations: [] Exploring Operation: 94/47=2, Resulting Numbers: [96, 18, 2] Generated Node #2: [96, 18, 2] from Operation: 94/47=2 Current State: 80:[96, 18, 2], Operations: ['94/47=2'] Exploring Operation: 96-18=78, Resulting Numbers: [2, 78] Generated Node #3: [2, 78] from Operation: 96-18=78 Current State: 80:[2, 78], Operations: ['94/47=2', '96-18=78'] Exploring Operation: 2+78=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 45, 67, 56, 91 ]
89
[ "45+67=112", "112/56=2", "91-2=89" ]
Current State: 89:[45, 67, 56, 91], Operations: [] Exploring Operation: 45+67=112, Resulting Numbers: [56, 91, 112] Generated Node #2: [56, 91, 112] from Operation: 45+67=112 Current State: 89:[56, 91, 112], Operations: ['45+67=112'] Exploring Operation: 112/56=2, Resulting Numbers: [91, 2] Generated Node #3: [91, 2] from Operation: 112/56=2 Current State: 89:[91, 2], Operations: ['45+67=112', '112/56=2'] Exploring Operation: 91-2=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 22, 6, 62, 4 ]
60
[ "22+62=84", "6*4=24", "84-24=60" ]
Current State: 60:[22, 6, 62, 4], Operations: [] Exploring Operation: 22+62=84, Resulting Numbers: [6, 4, 84] Generated Node #2: [6, 4, 84] from Operation: 22+62=84 Current State: 60:[6, 4, 84], Operations: ['22+62=84'] Exploring Operation: 6*4=24, Resulting Numbers: [84, 24] Generated Node #3: [84, 24] from Operation: 6*4=24 Current State: 60:[84, 24], Operations: ['22+62=84', '6*4=24'] Exploring Operation: 84-24=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 7, 88, 34, 50 ]
79
[ "7+88=95", "50-34=16", "95-16=79" ]
Current State: 79:[7, 88, 34, 50], Operations: [] Exploring Operation: 7+88=95, Resulting Numbers: [34, 50, 95] Generated Node #2: [34, 50, 95] from Operation: 7+88=95 Current State: 79:[34, 50, 95], Operations: ['7+88=95'] Exploring Operation: 50-34=16, Resulting Numbers: [95, 16] Generated Node #3: [95, 16] from Operation: 50-34=16 Current State: 79:[95, 16], Operations: ['7+88=95', '50-34=16'] Exploring Operation: 95-16=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 35, 91, 92, 81 ]
46
[ "81-35=46", "92-91=1", "46*1=46" ]
Current State: 46:[35, 91, 92, 81], Operations: [] Exploring Operation: 81-35=46, Resulting Numbers: [91, 92, 46] Generated Node #2: [91, 92, 46] from Operation: 81-35=46 Current State: 46:[91, 92, 46], Operations: ['81-35=46'] Exploring Operation: 92-91=1, Resulting Numbers: [46, 1] Generated Node #3: [46, 1] from Operation: 92-91=1 Current State: 46:[46, 1], Operations: ['81-35=46', '92-91=1'] Exploring Operation: 46*1=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 31, 65, 52, 3 ]
47
[ "31+65=96", "52-3=49", "96-49=47" ]
Current State: 47:[31, 65, 52, 3], Operations: [] Exploring Operation: 31+65=96, Resulting Numbers: [52, 3, 96] Generated Node #2: [52, 3, 96] from Operation: 31+65=96 Current State: 47:[52, 3, 96], Operations: ['31+65=96'] Exploring Operation: 52-3=49, Resulting Numbers: [96, 49] Generated Node #3: [96, 49] from Operation: 52-3=49 Current State: 47:[96, 49], Operations: ['31+65=96', '52-3=49'] Exploring Operation: 96-49=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 48, 1, 46, 4 ]
59
[ "48/4=12", "1+46=47", "12+47=59" ]
Current State: 59:[48, 1, 46, 4], Operations: [] Exploring Operation: 48/4=12, Resulting Numbers: [1, 46, 12] Generated Node #2: [1, 46, 12] from Operation: 48/4=12 Current State: 59:[1, 46, 12], Operations: ['48/4=12'] Exploring Operation: 1+46=47, Resulting Numbers: [12, 47] Generated Node #3: [12, 47] from Operation: 1+46=47 Current State: 59:[12, 47], Operations: ['48/4=12', '1+46=47'] Exploring Operation: 12+47=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 88, 94, 16, 47 ]
56
[ "94*16=1504", "1504/47=32", "88-32=56" ]
Current State: 56:[88, 94, 16, 47], Operations: [] Exploring Operation: 94*16=1504, Resulting Numbers: [88, 47, 1504] Generated Node #2: [88, 47, 1504] from Operation: 94*16=1504 Current State: 56:[88, 47, 1504], Operations: ['94*16=1504'] Exploring Operation: 1504/47=32, Resulting Numbers: [88, 32] Generated Node #3: [88, 32] from Operation: 1504/47=32 Current State: 56:[88, 32], Operations: ['94*16=1504', '1504/47=32'] Exploring Operation: 88-32=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 98, 44, 6, 4 ]
58
[ "98*4=392", "392-44=348", "348/6=58" ]
Current State: 58:[98, 44, 6, 4], Operations: [] Exploring Operation: 98*4=392, Resulting Numbers: [44, 6, 392] Generated Node #2: [44, 6, 392] from Operation: 98*4=392 Current State: 58:[44, 6, 392], Operations: ['98*4=392'] Exploring Operation: 392-44=348, Resulting Numbers: [6, 348] Generated Node #3: [6, 348] from Operation: 392-44=348 Current State: 58:[6, 348], Operations: ['98*4=392', '392-44=348'] Exploring Operation: 348/6=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 6, 83, 28, 14 ]
63
[ "83-6=77", "28-14=14", "77-14=63" ]
Current State: 63:[6, 83, 28, 14], Operations: [] Exploring Operation: 83-6=77, Resulting Numbers: [28, 14, 77] Generated Node #2: [28, 14, 77] from Operation: 83-6=77 Current State: 63:[28, 14, 77], Operations: ['83-6=77'] Exploring Operation: 28-14=14, Resulting Numbers: [77, 14] Generated Node #3: [77, 14] from Operation: 28-14=14 Current State: 63:[77, 14], Operations: ['83-6=77', '28-14=14'] Exploring Operation: 77-14=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 57, 26, 41, 15 ]
26
[ "57-41=16", "16-15=1", "26*1=26" ]
Current State: 26:[57, 26, 41, 15], Operations: [] Exploring Operation: 57-41=16, Resulting Numbers: [26, 15, 16] Generated Node #2: [26, 15, 16] from Operation: 57-41=16 Current State: 26:[26, 15, 16], Operations: ['57-41=16'] Exploring Operation: 16-15=1, Resulting Numbers: [26, 1] Generated Node #3: [26, 1] from Operation: 16-15=1 Current State: 26:[26, 1], Operations: ['57-41=16', '16-15=1'] Exploring Operation: 26*1=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 12, 26, 79, 2 ]
43
[ "12+26=38", "79+2=81", "81-38=43" ]
Current State: 43:[12, 26, 79, 2], Operations: [] Exploring Operation: 12+26=38, Resulting Numbers: [79, 2, 38] Generated Node #2: [79, 2, 38] from Operation: 12+26=38 Current State: 43:[79, 2, 38], Operations: ['12+26=38'] Exploring Operation: 79+2=81, Resulting Numbers: [38, 81] Generated Node #3: [38, 81] from Operation: 79+2=81 Current State: 43:[38, 81], Operations: ['12+26=38', '79+2=81'] Exploring Operation: 81-38=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 15, 7, 72, 2 ]
12
[ "15-7=8", "8-2=6", "72/6=12" ]
Current State: 12:[15, 7, 72, 2], Operations: [] Exploring Operation: 15-7=8, Resulting Numbers: [72, 2, 8] Generated Node #2: [72, 2, 8] from Operation: 15-7=8 Current State: 12:[72, 2, 8], Operations: ['15-7=8'] Exploring Operation: 8-2=6, Resulting Numbers: [72, 6] Generated Node #3: [72, 6] from Operation: 8-2=6 Current State: 12:[72, 6], Operations: ['15-7=8', '8-2=6'] Exploring Operation: 72/6=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 75, 6, 99, 71 ]
53
[ "75+6=81", "99-71=28", "81-28=53" ]
Current State: 53:[75, 6, 99, 71], Operations: [] Exploring Operation: 75+6=81, Resulting Numbers: [99, 71, 81] Generated Node #2: [99, 71, 81] from Operation: 75+6=81 Current State: 53:[99, 71, 81], Operations: ['75+6=81'] Exploring Operation: 99-71=28, Resulting Numbers: [81, 28] Generated Node #3: [81, 28] from Operation: 99-71=28 Current State: 53:[81, 28], Operations: ['75+6=81', '99-71=28'] Exploring Operation: 81-28=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 73, 39, 35, 76 ]
78
[ "73-35=38", "39*76=2964", "2964/38=78" ]
Current State: 78:[73, 39, 35, 76], Operations: [] Exploring Operation: 73-35=38, Resulting Numbers: [39, 76, 38] Generated Node #2: [39, 76, 38] from Operation: 73-35=38 Current State: 78:[39, 76, 38], Operations: ['73-35=38'] Exploring Operation: 39*76=2964, Resulting Numbers: [38, 2964] Generated Node #3: [38, 2964] from Operation: 39*76=2964 Current State: 78:[38, 2964], Operations: ['73-35=38', '39*76=2964'] Exploring Operation: 2964/38=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 10, 9, 84, 4 ]
21
[ "10-9=1", "84/4=21", "1*21=21" ]
Current State: 21:[10, 9, 84, 4], Operations: [] Exploring Operation: 10-9=1, Resulting Numbers: [84, 4, 1] Generated Node #2: [84, 4, 1] from Operation: 10-9=1 Current State: 21:[84, 4, 1], Operations: ['10-9=1'] Exploring Operation: 84/4=21, Resulting Numbers: [1, 21] Generated Node #3: [1, 21] from Operation: 84/4=21 Current State: 21:[1, 21], Operations: ['10-9=1', '84/4=21'] Exploring Operation: 1*21=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 84, 84, 4, 99 ]
24
[ "99-84=15", "4*15=60", "84-60=24" ]
Current State: 24:[84, 84, 4, 99], Operations: [] Exploring Operation: 99-84=15, Resulting Numbers: [4, 15] Generated Node #2: [4, 15] from Operation: 99-84=15 Current State: 24:[4, 15], Operations: ['99-84=15'] Exploring Operation: 4*15=60, Resulting Numbers: [60] 60,24 equal: Goal Reached Exploring Operation: 84-60=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 63, 7, 83, 72 ]
81
[ "63+7=70", "83-72=11", "70+11=81" ]
Current State: 81:[63, 7, 83, 72], Operations: [] Exploring Operation: 63+7=70, Resulting Numbers: [83, 72, 70] Generated Node #2: [83, 72, 70] from Operation: 63+7=70 Current State: 81:[83, 72, 70], Operations: ['63+7=70'] Exploring Operation: 83-72=11, Resulting Numbers: [70, 11] Generated Node #3: [70, 11] from Operation: 83-72=11 Current State: 81:[70, 11], Operations: ['63+7=70', '83-72=11'] Exploring Operation: 70+11=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 6, 59, 55, 36 ]
38
[ "59-6=53", "55+36=91", "91-53=38" ]
Current State: 38:[6, 59, 55, 36], Operations: [] Exploring Operation: 59-6=53, Resulting Numbers: [55, 36, 53] Generated Node #2: [55, 36, 53] from Operation: 59-6=53 Current State: 38:[55, 36, 53], Operations: ['59-6=53'] Exploring Operation: 55+36=91, Resulting Numbers: [53, 91] Generated Node #3: [53, 91] from Operation: 55+36=91 Current State: 38:[53, 91], Operations: ['59-6=53', '55+36=91'] Exploring Operation: 91-53=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 50, 31, 37, 5 ]
58
[ "50-31=19", "5*19=95", "95-37=58" ]
Current State: 58:[50, 31, 37, 5], Operations: [] Exploring Operation: 50-31=19, Resulting Numbers: [37, 5, 19] Generated Node #2: [37, 5, 19] from Operation: 50-31=19 Current State: 58:[37, 5, 19], Operations: ['50-31=19'] Exploring Operation: 5*19=95, Resulting Numbers: [37, 95] Generated Node #3: [37, 95] from Operation: 5*19=95 Current State: 58:[37, 95], Operations: ['50-31=19', '5*19=95'] Exploring Operation: 95-37=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 49, 15, 44, 20 ]
19
[ "49-44=5", "20/5=4", "15+4=19" ]
Current State: 19:[49, 15, 44, 20], Operations: [] Exploring Operation: 49-44=5, Resulting Numbers: [15, 20, 5] Generated Node #2: [15, 20, 5] from Operation: 49-44=5 Current State: 19:[15, 20, 5], Operations: ['49-44=5'] Exploring Operation: 20/5=4, Resulting Numbers: [15, 4] Generated Node #3: [15, 4] from Operation: 20/5=4 Current State: 19:[15, 4], Operations: ['49-44=5', '20/5=4'] Exploring Operation: 15+4=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 48, 31, 33, 20 ]
14
[ "48-20=28", "33-31=2", "28/2=14" ]
Current State: 14:[48, 31, 33, 20], Operations: [] Exploring Operation: 48-20=28, Resulting Numbers: [31, 33, 28] Generated Node #2: [31, 33, 28] from Operation: 48-20=28 Current State: 14:[31, 33, 28], Operations: ['48-20=28'] Exploring Operation: 33-31=2, Resulting Numbers: [28, 2] Generated Node #3: [28, 2] from Operation: 33-31=2 Current State: 14:[28, 2], Operations: ['48-20=28', '33-31=2'] Exploring Operation: 28/2=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 81, 8, 55, 37 ]
88
[ "81-55=26", "37-26=11", "8*11=88" ]
Current State: 88:[81, 8, 55, 37], Operations: [] Exploring Operation: 81-55=26, Resulting Numbers: [8, 37, 26] Generated Node #2: [8, 37, 26] from Operation: 81-55=26 Current State: 88:[8, 37, 26], Operations: ['81-55=26'] Exploring Operation: 37-26=11, Resulting Numbers: [8, 11] Generated Node #3: [8, 11] from Operation: 37-26=11 Current State: 88:[8, 11], Operations: ['81-55=26', '37-26=11'] Exploring Operation: 8*11=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 93, 31, 33, 1 ]
46
[ "93-1=92", "33-31=2", "92/2=46" ]
Current State: 46:[93, 31, 33, 1], Operations: [] Exploring Operation: 93-1=92, Resulting Numbers: [31, 33, 92] Generated Node #2: [31, 33, 92] from Operation: 93-1=92 Current State: 46:[31, 33, 92], Operations: ['93-1=92'] Exploring Operation: 33-31=2, Resulting Numbers: [92, 2] Generated Node #3: [92, 2] from Operation: 33-31=2 Current State: 46:[92, 2], Operations: ['93-1=92', '33-31=2'] Exploring Operation: 92/2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 61, 9, 7, 60 ]
72
[ "61+7=68", "68-60=8", "9*8=72" ]
Current State: 72:[61, 9, 7, 60], Operations: [] Exploring Operation: 61+7=68, Resulting Numbers: [9, 60, 68] Generated Node #2: [9, 60, 68] from Operation: 61+7=68 Current State: 72:[9, 60, 68], Operations: ['61+7=68'] Exploring Operation: 68-60=8, Resulting Numbers: [9, 8] Generated Node #3: [9, 8] from Operation: 68-60=8 Current State: 72:[9, 8], Operations: ['61+7=68', '68-60=8'] Exploring Operation: 9*8=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 1, 69, 16, 56 ]
29
[ "1*69=69", "56-16=40", "69-40=29" ]
Current State: 29:[1, 69, 16, 56], Operations: [] Exploring Operation: 1*69=69, Resulting Numbers: [16, 56, 69] Generated Node #2: [16, 56, 69] from Operation: 1*69=69 Current State: 29:[16, 56, 69], Operations: ['1*69=69'] Exploring Operation: 56-16=40, Resulting Numbers: [69, 40] Generated Node #3: [69, 40] from Operation: 56-16=40 Current State: 29:[69, 40], Operations: ['1*69=69', '56-16=40'] Exploring Operation: 69-40=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 95, 85, 25, 85 ]
71
[ "95-25=70", "85/85=1", "70+1=71" ]
Current State: 71:[95, 85, 25, 85], Operations: [] Exploring Operation: 95-25=70, Resulting Numbers: [85, 85, 70] Generated Node #2: [85, 85, 70] from Operation: 95-25=70 Current State: 71:[85, 85, 70], Operations: ['95-25=70'] Exploring Operation: 85/85=1, Resulting Numbers: [70, 1] Generated Node #3: [70, 1] from Operation: 85/85=1 Current State: 71:[70, 1], Operations: ['95-25=70', '85/85=1'] Exploring Operation: 70+1=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 60, 35, 24, 31 ]
65
[ "31-24=7", "35/7=5", "60+5=65" ]
Current State: 65:[60, 35, 24, 31], Operations: [] Exploring Operation: 31-24=7, Resulting Numbers: [60, 35, 7] Generated Node #2: [60, 35, 7] from Operation: 31-24=7 Current State: 65:[60, 35, 7], Operations: ['31-24=7'] Exploring Operation: 35/7=5, Resulting Numbers: [60, 5] Generated Node #3: [60, 5] from Operation: 35/7=5 Current State: 65:[60, 5], Operations: ['31-24=7', '35/7=5'] Exploring Operation: 60+5=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 4, 30, 56, 20 ]
88
[ "30*56=1680", "1680/20=84", "4+84=88" ]
Current State: 88:[4, 30, 56, 20], Operations: [] Exploring Operation: 30*56=1680, Resulting Numbers: [4, 20, 1680] Generated Node #2: [4, 20, 1680] from Operation: 30*56=1680 Current State: 88:[4, 20, 1680], Operations: ['30*56=1680'] Exploring Operation: 1680/20=84, Resulting Numbers: [4, 84] Generated Node #3: [4, 84] from Operation: 1680/20=84 Current State: 88:[4, 84], Operations: ['30*56=1680', '1680/20=84'] Exploring Operation: 4+84=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 84, 66, 48, 96 ]
10
[ "84+96=180", "66-48=18", "180/18=10" ]
Current State: 10:[84, 66, 48, 96], Operations: [] Exploring Operation: 84+96=180, Resulting Numbers: [66, 48, 180] Generated Node #2: [66, 48, 180] from Operation: 84+96=180 Current State: 10:[66, 48, 180], Operations: ['84+96=180'] Exploring Operation: 66-48=18, Resulting Numbers: [180, 18] Generated Node #3: [180, 18] from Operation: 66-48=18 Current State: 10:[180, 18], Operations: ['84+96=180', '66-48=18'] Exploring Operation: 180/18=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 15, 45, 94, 50 ]
14
[ "45-15=30", "94-50=44", "44-30=14" ]
Current State: 14:[15, 45, 94, 50], Operations: [] Exploring Operation: 45-15=30, Resulting Numbers: [94, 50, 30] Generated Node #2: [94, 50, 30] from Operation: 45-15=30 Current State: 14:[94, 50, 30], Operations: ['45-15=30'] Exploring Operation: 94-50=44, Resulting Numbers: [30, 44] Generated Node #3: [30, 44] from Operation: 94-50=44 Current State: 14:[30, 44], Operations: ['45-15=30', '94-50=44'] Exploring Operation: 44-30=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 40, 68, 38, 18 ]
84
[ "68-40=28", "38+18=56", "28+56=84" ]
Current State: 84:[40, 68, 38, 18], Operations: [] Exploring Operation: 68-40=28, Resulting Numbers: [38, 18, 28] Generated Node #2: [38, 18, 28] from Operation: 68-40=28 Current State: 84:[38, 18, 28], Operations: ['68-40=28'] Exploring Operation: 38+18=56, Resulting Numbers: [28, 56] Generated Node #3: [28, 56] from Operation: 38+18=56 Current State: 84:[28, 56], Operations: ['68-40=28', '38+18=56'] Exploring Operation: 28+56=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 40, 48, 94, 97 ]
85
[ "40+48=88", "97-94=3", "88-3=85" ]
Current State: 85:[40, 48, 94, 97], Operations: [] Exploring Operation: 40+48=88, Resulting Numbers: [94, 97, 88] Generated Node #2: [94, 97, 88] from Operation: 40+48=88 Current State: 85:[94, 97, 88], Operations: ['40+48=88'] Exploring Operation: 97-94=3, Resulting Numbers: [88, 3] Generated Node #3: [88, 3] from Operation: 97-94=3 Current State: 85:[88, 3], Operations: ['40+48=88', '97-94=3'] Exploring Operation: 88-3=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 26, 89, 27, 5 ]
85
[ "89-26=63", "27-5=22", "63+22=85" ]
Current State: 85:[26, 89, 27, 5], Operations: [] Exploring Operation: 89-26=63, Resulting Numbers: [27, 5, 63] Generated Node #2: [27, 5, 63] from Operation: 89-26=63 Current State: 85:[27, 5, 63], Operations: ['89-26=63'] Exploring Operation: 27-5=22, Resulting Numbers: [63, 22] Generated Node #3: [63, 22] from Operation: 27-5=22 Current State: 85:[63, 22], Operations: ['89-26=63', '27-5=22'] Exploring Operation: 63+22=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 8, 10, 37, 51 ]
86
[ "10-8=2", "37+51=88", "88-2=86" ]
Current State: 86:[8, 10, 37, 51], Operations: [] Exploring Operation: 10-8=2, Resulting Numbers: [37, 51, 2] Generated Node #2: [37, 51, 2] from Operation: 10-8=2 Current State: 86:[37, 51, 2], Operations: ['10-8=2'] Exploring Operation: 37+51=88, Resulting Numbers: [2, 88] Generated Node #3: [2, 88] from Operation: 37+51=88 Current State: 86:[2, 88], Operations: ['10-8=2', '37+51=88'] Exploring Operation: 88-2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 28, 32, 14, 65 ]
19
[ "28+32=60", "14+65=79", "79-60=19" ]
Current State: 19:[28, 32, 14, 65], Operations: [] Exploring Operation: 28+32=60, Resulting Numbers: [14, 65, 60] Generated Node #2: [14, 65, 60] from Operation: 28+32=60 Current State: 19:[14, 65, 60], Operations: ['28+32=60'] Exploring Operation: 14+65=79, Resulting Numbers: [60, 79] Generated Node #3: [60, 79] from Operation: 14+65=79 Current State: 19:[60, 79], Operations: ['28+32=60', '14+65=79'] Exploring Operation: 79-60=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 98, 76, 92, 92 ]
96
[ "98-92=6", "92-76=16", "6*16=96" ]
Current State: 96:[98, 76, 92, 92], Operations: [] Exploring Operation: 98-92=6, Resulting Numbers: [76, 6] Generated Node #2: [76, 6] from Operation: 98-92=6 Current State: 96:[76, 6], Operations: ['98-92=6'] Exploring Operation: 92-76=16, Resulting Numbers: [6, 16] Generated Node #3: [6, 16] from Operation: 92-76=16 Current State: 96:[6, 16], Operations: ['98-92=6', '92-76=16'] Exploring Operation: 6*16=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 16, 72, 82, 92 ]
32
[ "72+92=164", "16*164=2624", "2624/82=32" ]
Current State: 32:[16, 72, 82, 92], Operations: [] Exploring Operation: 72+92=164, Resulting Numbers: [16, 82, 164] Generated Node #2: [16, 82, 164] from Operation: 72+92=164 Current State: 32:[16, 82, 164], Operations: ['72+92=164'] Exploring Operation: 16*164=2624, Resulting Numbers: [82, 2624] Generated Node #3: [82, 2624] from Operation: 16*164=2624 Current State: 32:[82, 2624], Operations: ['72+92=164', '16*164=2624'] Exploring Operation: 2624/82=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 57, 5, 62, 42 ]
52
[ "57-5=52", "62+42=104", "104-52=52" ]
Current State: 52:[57, 5, 62, 42], Operations: [] Exploring Operation: 57-5=52, Resulting Numbers: [62, 42, 52] Generated Node #2: [62, 42, 52] from Operation: 57-5=52 Current State: 52:[62, 42, 52], Operations: ['57-5=52'] Exploring Operation: 62+42=104, Resulting Numbers: [52, 104] Generated Node #3: [52, 104] from Operation: 62+42=104 Current State: 52:[52, 104], Operations: ['57-5=52', '62+42=104'] Exploring Operation: 104-52=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 76, 43, 12, 76 ]
55
[ "76+43=119", "76-12=64", "119-64=55" ]
Current State: 55:[76, 43, 12, 76], Operations: [] Exploring Operation: 76+43=119, Resulting Numbers: [12, 119] Generated Node #2: [12, 119] from Operation: 76+43=119 Current State: 55:[12, 119], Operations: ['76+43=119'] Exploring Operation: 76-12=64, Resulting Numbers: [119, 64] Generated Node #3: [119, 64] from Operation: 76-12=64 Current State: 55:[119, 64], Operations: ['76+43=119', '76-12=64'] Exploring Operation: 119-64=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 98, 84, 72, 93 ]
90
[ "93-84=9", "72/9=8", "98-8=90" ]
Current State: 90:[98, 84, 72, 93], Operations: [] Exploring Operation: 93-84=9, Resulting Numbers: [98, 72, 9] Generated Node #2: [98, 72, 9] from Operation: 93-84=9 Current State: 90:[98, 72, 9], Operations: ['93-84=9'] Exploring Operation: 72/9=8, Resulting Numbers: [98, 8] Generated Node #3: [98, 8] from Operation: 72/9=8 Current State: 90:[98, 8], Operations: ['93-84=9', '72/9=8'] Exploring Operation: 98-8=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 25, 17, 63, 68 ]
37
[ "25+17=42", "68-63=5", "42-5=37" ]
Current State: 37:[25, 17, 63, 68], Operations: [] Exploring Operation: 25+17=42, Resulting Numbers: [63, 68, 42] Generated Node #2: [63, 68, 42] from Operation: 25+17=42 Current State: 37:[63, 68, 42], Operations: ['25+17=42'] Exploring Operation: 68-63=5, Resulting Numbers: [42, 5] Generated Node #3: [42, 5] from Operation: 68-63=5 Current State: 37:[42, 5], Operations: ['25+17=42', '68-63=5'] Exploring Operation: 42-5=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 19, 48, 52, 25 ]
81
[ "52-48=4", "25*4=100", "100-19=81" ]
Current State: 81:[19, 48, 52, 25], Operations: [] Exploring Operation: 52-48=4, Resulting Numbers: [19, 25, 4] Generated Node #2: [19, 25, 4] from Operation: 52-48=4 Current State: 81:[19, 25, 4], Operations: ['52-48=4'] Exploring Operation: 25*4=100, Resulting Numbers: [19, 100] Generated Node #3: [19, 100] from Operation: 25*4=100 Current State: 81:[19, 100], Operations: ['52-48=4', '25*4=100'] Exploring Operation: 100-19=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 24, 67, 59, 83 ]
80
[ "67-59=8", "24/8=3", "83-3=80" ]
Current State: 80:[24, 67, 59, 83], Operations: [] Exploring Operation: 67-59=8, Resulting Numbers: [24, 83, 8] Generated Node #2: [24, 83, 8] from Operation: 67-59=8 Current State: 80:[24, 83, 8], Operations: ['67-59=8'] Exploring Operation: 24/8=3, Resulting Numbers: [83, 3] Generated Node #3: [83, 3] from Operation: 24/8=3 Current State: 80:[83, 3], Operations: ['67-59=8', '24/8=3'] Exploring Operation: 83-3=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 8, 92, 47, 96 ]
35
[ "92-8=84", "96-47=49", "84-49=35" ]
Current State: 35:[8, 92, 47, 96], Operations: [] Exploring Operation: 92-8=84, Resulting Numbers: [47, 96, 84] Generated Node #2: [47, 96, 84] from Operation: 92-8=84 Current State: 35:[47, 96, 84], Operations: ['92-8=84'] Exploring Operation: 96-47=49, Resulting Numbers: [84, 49] Generated Node #3: [84, 49] from Operation: 96-47=49 Current State: 35:[84, 49], Operations: ['92-8=84', '96-47=49'] Exploring Operation: 84-49=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 1, 12, 2, 8 ]
71
[ "8-2=6", "12*6=72", "72-1=71" ]
Current State: 71:[1, 12, 2, 8], Operations: [] Exploring Operation: 8-2=6, Resulting Numbers: [1, 12, 6] Generated Node #2: [1, 12, 6] from Operation: 8-2=6 Current State: 71:[1, 12, 6], Operations: ['8-2=6'] Exploring Operation: 12*6=72, Resulting Numbers: [1, 72] Generated Node #3: [1, 72] from Operation: 12*6=72 Current State: 71:[1, 72], Operations: ['8-2=6', '12*6=72'] Exploring Operation: 72-1=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 34, 35, 21, 6 ]
42
[ "34+35=69", "21+6=27", "69-27=42" ]
Current State: 42:[34, 35, 21, 6], Operations: [] Exploring Operation: 34+35=69, Resulting Numbers: [21, 6, 69] Generated Node #2: [21, 6, 69] from Operation: 34+35=69 Current State: 42:[21, 6, 69], Operations: ['34+35=69'] Exploring Operation: 21+6=27, Resulting Numbers: [69, 27] Generated Node #3: [69, 27] from Operation: 21+6=27 Current State: 42:[69, 27], Operations: ['34+35=69', '21+6=27'] Exploring Operation: 69-27=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 10, 19, 41, 81 ]
75
[ "19+41=60", "60/10=6", "81-6=75" ]
Current State: 75:[10, 19, 41, 81], Operations: [] Exploring Operation: 19+41=60, Resulting Numbers: [10, 81, 60] Generated Node #2: [10, 81, 60] from Operation: 19+41=60 Current State: 75:[10, 81, 60], Operations: ['19+41=60'] Exploring Operation: 60/10=6, Resulting Numbers: [81, 6] Generated Node #3: [81, 6] from Operation: 60/10=6 Current State: 75:[81, 6], Operations: ['19+41=60', '60/10=6'] Exploring Operation: 81-6=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 91, 10, 19, 31 ]
51
[ "91+10=101", "19+31=50", "101-50=51" ]
Current State: 51:[91, 10, 19, 31], Operations: [] Exploring Operation: 91+10=101, Resulting Numbers: [19, 31, 101] Generated Node #2: [19, 31, 101] from Operation: 91+10=101 Current State: 51:[19, 31, 101], Operations: ['91+10=101'] Exploring Operation: 19+31=50, Resulting Numbers: [101, 50] Generated Node #3: [101, 50] from Operation: 19+31=50 Current State: 51:[101, 50], Operations: ['91+10=101', '19+31=50'] Exploring Operation: 101-50=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 42, 86, 3, 65 ]
35
[ "42/3=14", "86-65=21", "14+21=35" ]
Current State: 35:[42, 86, 3, 65], Operations: [] Exploring Operation: 42/3=14, Resulting Numbers: [86, 65, 14] Generated Node #2: [86, 65, 14] from Operation: 42/3=14 Current State: 35:[86, 65, 14], Operations: ['42/3=14'] Exploring Operation: 86-65=21, Resulting Numbers: [14, 21] Generated Node #3: [14, 21] from Operation: 86-65=21 Current State: 35:[14, 21], Operations: ['42/3=14', '86-65=21'] Exploring Operation: 14+21=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 19, 28, 31, 11 ]
11
[ "28-19=9", "31-11=20", "20-9=11" ]
Current State: 11:[19, 28, 31, 11], Operations: [] Exploring Operation: 28-19=9, Resulting Numbers: [31, 11, 9] Generated Node #2: [31, 11, 9] from Operation: 28-19=9 Current State: 11:[31, 11, 9], Operations: ['28-19=9'] Exploring Operation: 31-11=20, Resulting Numbers: [9, 20] Generated Node #3: [9, 20] from Operation: 31-11=20 Current State: 11:[9, 20], Operations: ['28-19=9', '31-11=20'] Exploring Operation: 20-9=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 36, 21, 48, 54 ]
34
[ "36*21=756", "756/54=14", "48-14=34" ]
Current State: 34:[36, 21, 48, 54], Operations: [] Exploring Operation: 36*21=756, Resulting Numbers: [48, 54, 756] Generated Node #2: [48, 54, 756] from Operation: 36*21=756 Current State: 34:[48, 54, 756], Operations: ['36*21=756'] Exploring Operation: 756/54=14, Resulting Numbers: [48, 14] Generated Node #3: [48, 14] from Operation: 756/54=14 Current State: 34:[48, 14], Operations: ['36*21=756', '756/54=14'] Exploring Operation: 48-14=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 59, 72, 73, 32 ]
92
[ "72-59=13", "73+32=105", "105-13=92" ]
Current State: 92:[59, 72, 73, 32], Operations: [] Exploring Operation: 72-59=13, Resulting Numbers: [73, 32, 13] Generated Node #2: [73, 32, 13] from Operation: 72-59=13 Current State: 92:[73, 32, 13], Operations: ['72-59=13'] Exploring Operation: 73+32=105, Resulting Numbers: [13, 105] Generated Node #3: [13, 105] from Operation: 73+32=105 Current State: 92:[13, 105], Operations: ['72-59=13', '73+32=105'] Exploring Operation: 105-13=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 12, 72, 68, 32 ]
75
[ "68-32=36", "36/12=3", "72+3=75" ]
Current State: 75:[12, 72, 68, 32], Operations: [] Exploring Operation: 68-32=36, Resulting Numbers: [12, 72, 36] Generated Node #2: [12, 72, 36] from Operation: 68-32=36 Current State: 75:[12, 72, 36], Operations: ['68-32=36'] Exploring Operation: 36/12=3, Resulting Numbers: [72, 3] Generated Node #3: [72, 3] from Operation: 36/12=3 Current State: 75:[72, 3], Operations: ['68-32=36', '36/12=3'] Exploring Operation: 72+3=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 12, 54, 13, 72 ]
47
[ "72/12=6", "54-13=41", "6+41=47" ]
Current State: 47:[12, 54, 13, 72], Operations: [] Exploring Operation: 72/12=6, Resulting Numbers: [54, 13, 6] Generated Node #2: [54, 13, 6] from Operation: 72/12=6 Current State: 47:[54, 13, 6], Operations: ['72/12=6'] Exploring Operation: 54-13=41, Resulting Numbers: [6, 41] Generated Node #3: [6, 41] from Operation: 54-13=41 Current State: 47:[6, 41], Operations: ['72/12=6', '54-13=41'] Exploring Operation: 6+41=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 86, 26, 11, 5 ]
33
[ "86+11=97", "26*5=130", "130-97=33" ]
Current State: 33:[86, 26, 11, 5], Operations: [] Exploring Operation: 86+11=97, Resulting Numbers: [26, 5, 97] Generated Node #2: [26, 5, 97] from Operation: 86+11=97 Current State: 33:[26, 5, 97], Operations: ['86+11=97'] Exploring Operation: 26*5=130, Resulting Numbers: [97, 130] Generated Node #3: [97, 130] from Operation: 26*5=130 Current State: 33:[97, 130], Operations: ['86+11=97', '26*5=130'] Exploring Operation: 130-97=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 31, 65, 26, 2 ]
43
[ "65-31=34", "34/2=17", "26+17=43" ]
Current State: 43:[31, 65, 26, 2], Operations: [] Exploring Operation: 65-31=34, Resulting Numbers: [26, 2, 34] Generated Node #2: [26, 2, 34] from Operation: 65-31=34 Current State: 43:[26, 2, 34], Operations: ['65-31=34'] Exploring Operation: 34/2=17, Resulting Numbers: [26, 17] Generated Node #3: [26, 17] from Operation: 34/2=17 Current State: 43:[26, 17], Operations: ['65-31=34', '34/2=17'] Exploring Operation: 26+17=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 59, 28, 35, 57 ]
21
[ "59-57=2", "28*2=56", "56-35=21" ]
Current State: 21:[59, 28, 35, 57], Operations: [] Exploring Operation: 59-57=2, Resulting Numbers: [28, 35, 2] Generated Node #2: [28, 35, 2] from Operation: 59-57=2 Current State: 21:[28, 35, 2], Operations: ['59-57=2'] Exploring Operation: 28*2=56, Resulting Numbers: [35, 56] Generated Node #3: [35, 56] from Operation: 28*2=56 Current State: 21:[35, 56], Operations: ['59-57=2', '28*2=56'] Exploring Operation: 56-35=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 86, 9, 80, 97 ]
82
[ "86+9=95", "80+97=177", "177-95=82" ]
Current State: 82:[86, 9, 80, 97], Operations: [] Exploring Operation: 86+9=95, Resulting Numbers: [80, 97, 95] Generated Node #2: [80, 97, 95] from Operation: 86+9=95 Current State: 82:[80, 97, 95], Operations: ['86+9=95'] Exploring Operation: 80+97=177, Resulting Numbers: [95, 177] Generated Node #3: [95, 177] from Operation: 80+97=177 Current State: 82:[95, 177], Operations: ['86+9=95', '80+97=177'] Exploring Operation: 177-95=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 47, 3, 5, 69 ]
67
[ "47*3=141", "5+69=74", "141-74=67" ]
Current State: 67:[47, 3, 5, 69], Operations: [] Exploring Operation: 47*3=141, Resulting Numbers: [5, 69, 141] Generated Node #2: [5, 69, 141] from Operation: 47*3=141 Current State: 67:[5, 69, 141], Operations: ['47*3=141'] Exploring Operation: 5+69=74, Resulting Numbers: [141, 74] Generated Node #3: [141, 74] from Operation: 5+69=74 Current State: 67:[141, 74], Operations: ['47*3=141', '5+69=74'] Exploring Operation: 141-74=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4