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
[ 62, 76, 55, 50 ]
18
[ "62-55=7", "76+50=126", "126/7=18" ]
Current State: 18:[62, 76, 55, 50], Operations: [] Exploring Operation: 62-55=7, Resulting Numbers: [76, 50, 7] Generated Node #2: [76, 50, 7] from Operation: 62-55=7 Current State: 18:[76, 50, 7], Operations: ['62-55=7'] Exploring Operation: 76+50=126, Resulting Numbers: [7, 126] Generated Node #3: [7, 126] from Operation: 76+50=126 Current State: 18:[7, 126], Operations: ['62-55=7', '76+50=126'] Exploring Operation: 126/7=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 25, 83, 47, 4 ]
57
[ "25+83=108", "47+4=51", "108-51=57" ]
Current State: 57:[25, 83, 47, 4], Operations: [] Exploring Operation: 25+83=108, Resulting Numbers: [47, 4, 108] Generated Node #2: [47, 4, 108] from Operation: 25+83=108 Current State: 57:[47, 4, 108], Operations: ['25+83=108'] Exploring Operation: 47+4=51, Resulting Numbers: [108, 51] Generated Node #3: [108, 51] from Operation: 47+4=51 Current State: 57:[108, 51], Operations: ['25+83=108', '47+4=51'] Exploring Operation: 108-51=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 97, 83, 53, 90 ]
23
[ "97-83=14", "90-53=37", "37-14=23" ]
Current State: 23:[97, 83, 53, 90], Operations: [] Exploring Operation: 97-83=14, Resulting Numbers: [53, 90, 14] Generated Node #2: [53, 90, 14] from Operation: 97-83=14 Current State: 23:[53, 90, 14], Operations: ['97-83=14'] Exploring Operation: 90-53=37, Resulting Numbers: [14, 37] Generated Node #3: [14, 37] from Operation: 90-53=37 Current State: 23:[14, 37], Operations: ['97-83=14', '90-53=37'] Exploring Operation: 37-14=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 29, 76, 35, 13 ]
25
[ "76-29=47", "35-13=22", "47-22=25" ]
Current State: 25:[29, 76, 35, 13], Operations: [] Exploring Operation: 76-29=47, Resulting Numbers: [35, 13, 47] Generated Node #2: [35, 13, 47] from Operation: 76-29=47 Current State: 25:[35, 13, 47], Operations: ['76-29=47'] Exploring Operation: 35-13=22, Resulting Numbers: [47, 22] Generated Node #3: [47, 22] from Operation: 35-13=22 Current State: 25:[47, 22], Operations: ['76-29=47', '35-13=22'] Exploring Operation: 47-22=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 23, 95, 17, 22 ]
33
[ "95-23=72", "17+22=39", "72-39=33" ]
Current State: 33:[23, 95, 17, 22], Operations: [] Exploring Operation: 95-23=72, Resulting Numbers: [17, 22, 72] Generated Node #2: [17, 22, 72] from Operation: 95-23=72 Current State: 33:[17, 22, 72], Operations: ['95-23=72'] Exploring Operation: 17+22=39, Resulting Numbers: [72, 39] Generated Node #3: [72, 39] from Operation: 17+22=39 Current State: 33:[72, 39], Operations: ['95-23=72', '17+22=39'] Exploring Operation: 72-39=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 74, 23, 26, 20 ]
97
[ "74-23=51", "26+20=46", "51+46=97" ]
Current State: 97:[74, 23, 26, 20], Operations: [] Exploring Operation: 74-23=51, Resulting Numbers: [26, 20, 51] Generated Node #2: [26, 20, 51] from Operation: 74-23=51 Current State: 97:[26, 20, 51], Operations: ['74-23=51'] Exploring Operation: 26+20=46, Resulting Numbers: [51, 46] Generated Node #3: [51, 46] from Operation: 26+20=46 Current State: 97:[51, 46], Operations: ['74-23=51', '26+20=46'] Exploring Operation: 51+46=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 4, 11, 6, 60 ]
34
[ "4*11=44", "60/6=10", "44-10=34" ]
Current State: 34:[4, 11, 6, 60], Operations: [] Exploring Operation: 4*11=44, Resulting Numbers: [6, 60, 44] Generated Node #2: [6, 60, 44] from Operation: 4*11=44 Current State: 34:[6, 60, 44], Operations: ['4*11=44'] Exploring Operation: 60/6=10, Resulting Numbers: [44, 10] Generated Node #3: [44, 10] from Operation: 60/6=10 Current State: 34:[44, 10], Operations: ['4*11=44', '60/6=10'] Exploring Operation: 44-10=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 83, 80, 63, 2 ]
37
[ "83+80=163", "63*2=126", "163-126=37" ]
Current State: 37:[83, 80, 63, 2], Operations: [] Exploring Operation: 83+80=163, Resulting Numbers: [63, 2, 163] Generated Node #2: [63, 2, 163] from Operation: 83+80=163 Current State: 37:[63, 2, 163], Operations: ['83+80=163'] Exploring Operation: 63*2=126, Resulting Numbers: [163, 126] Generated Node #3: [163, 126] from Operation: 63*2=126 Current State: 37:[163, 126], Operations: ['83+80=163', '63*2=126'] Exploring Operation: 163-126=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 91, 13, 18, 27 ]
87
[ "91-13=78", "27-18=9", "78+9=87" ]
Current State: 87:[91, 13, 18, 27], Operations: [] Exploring Operation: 91-13=78, Resulting Numbers: [18, 27, 78] Generated Node #2: [18, 27, 78] from Operation: 91-13=78 Current State: 87:[18, 27, 78], Operations: ['91-13=78'] Exploring Operation: 27-18=9, Resulting Numbers: [78, 9] Generated Node #3: [78, 9] from Operation: 27-18=9 Current State: 87:[78, 9], Operations: ['91-13=78', '27-18=9'] Exploring Operation: 78+9=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 59, 94, 81, 66 ]
97
[ "81-59=22", "66/22=3", "94+3=97" ]
Current State: 97:[59, 94, 81, 66], Operations: [] Exploring Operation: 81-59=22, Resulting Numbers: [94, 66, 22] Generated Node #2: [94, 66, 22] from Operation: 81-59=22 Current State: 97:[94, 66, 22], Operations: ['81-59=22'] Exploring Operation: 66/22=3, Resulting Numbers: [94, 3] Generated Node #3: [94, 3] from Operation: 66/22=3 Current State: 97:[94, 3], Operations: ['81-59=22', '66/22=3'] Exploring Operation: 94+3=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 80, 49, 62, 51 ]
36
[ "80-62=18", "51-49=2", "18*2=36" ]
Current State: 36:[80, 49, 62, 51], Operations: [] Exploring Operation: 80-62=18, Resulting Numbers: [49, 51, 18] Generated Node #2: [49, 51, 18] from Operation: 80-62=18 Current State: 36:[49, 51, 18], Operations: ['80-62=18'] Exploring Operation: 51-49=2, Resulting Numbers: [18, 2] Generated Node #3: [18, 2] from Operation: 51-49=2 Current State: 36:[18, 2], Operations: ['80-62=18', '51-49=2'] Exploring Operation: 18*2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 5, 19, 2, 30 ]
67
[ "5*19=95", "30-2=28", "95-28=67" ]
Current State: 67:[5, 19, 2, 30], Operations: [] Exploring Operation: 5*19=95, Resulting Numbers: [2, 30, 95] Generated Node #2: [2, 30, 95] from Operation: 5*19=95 Current State: 67:[2, 30, 95], Operations: ['5*19=95'] Exploring Operation: 30-2=28, Resulting Numbers: [95, 28] Generated Node #3: [95, 28] from Operation: 30-2=28 Current State: 67:[95, 28], Operations: ['5*19=95', '30-2=28'] Exploring Operation: 95-28=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 46, 58, 18, 67 ]
55
[ "46+58=104", "67-18=49", "104-49=55" ]
Current State: 55:[46, 58, 18, 67], Operations: [] Exploring Operation: 46+58=104, Resulting Numbers: [18, 67, 104] Generated Node #2: [18, 67, 104] from Operation: 46+58=104 Current State: 55:[18, 67, 104], Operations: ['46+58=104'] Exploring Operation: 67-18=49, Resulting Numbers: [104, 49] Generated Node #3: [104, 49] from Operation: 67-18=49 Current State: 55:[104, 49], Operations: ['46+58=104', '67-18=49'] Exploring Operation: 104-49=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 13, 77, 81, 88 ]
83
[ "13+77=90", "88-81=7", "90-7=83" ]
Current State: 83:[13, 77, 81, 88], Operations: [] Exploring Operation: 13+77=90, Resulting Numbers: [81, 88, 90] Generated Node #2: [81, 88, 90] from Operation: 13+77=90 Current State: 83:[81, 88, 90], Operations: ['13+77=90'] Exploring Operation: 88-81=7, Resulting Numbers: [90, 7] Generated Node #3: [90, 7] from Operation: 88-81=7 Current State: 83:[90, 7], Operations: ['13+77=90', '88-81=7'] Exploring Operation: 90-7=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 17, 26, 54, 25 ]
14
[ "17+26=43", "54-25=29", "43-29=14" ]
Current State: 14:[17, 26, 54, 25], Operations: [] Exploring Operation: 17+26=43, Resulting Numbers: [54, 25, 43] Generated Node #2: [54, 25, 43] from Operation: 17+26=43 Current State: 14:[54, 25, 43], Operations: ['17+26=43'] Exploring Operation: 54-25=29, Resulting Numbers: [43, 29] Generated Node #3: [43, 29] from Operation: 54-25=29 Current State: 14:[43, 29], Operations: ['17+26=43', '54-25=29'] Exploring Operation: 43-29=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 50, 93, 11, 41 ]
52
[ "93-11=82", "82/41=2", "50+2=52" ]
Current State: 52:[50, 93, 11, 41], Operations: [] Exploring Operation: 93-11=82, Resulting Numbers: [50, 41, 82] Generated Node #2: [50, 41, 82] from Operation: 93-11=82 Current State: 52:[50, 41, 82], Operations: ['93-11=82'] Exploring Operation: 82/41=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 82/41=2 Current State: 52:[50, 2], Operations: ['93-11=82', '82/41=2'] Exploring Operation: 50+2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 14, 12, 94, 30 ]
39
[ "14+94=108", "108/12=9", "30+9=39" ]
Current State: 39:[14, 12, 94, 30], Operations: [] Exploring Operation: 14+94=108, Resulting Numbers: [12, 30, 108] Generated Node #2: [12, 30, 108] from Operation: 14+94=108 Current State: 39:[12, 30, 108], Operations: ['14+94=108'] Exploring Operation: 108/12=9, Resulting Numbers: [30, 9] Generated Node #3: [30, 9] from Operation: 108/12=9 Current State: 39:[30, 9], Operations: ['14+94=108', '108/12=9'] Exploring Operation: 30+9=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 76, 33, 59, 13 ]
89
[ "76-33=43", "59-13=46", "43+46=89" ]
Current State: 89:[76, 33, 59, 13], Operations: [] Exploring Operation: 76-33=43, Resulting Numbers: [59, 13, 43] Generated Node #2: [59, 13, 43] from Operation: 76-33=43 Current State: 89:[59, 13, 43], Operations: ['76-33=43'] Exploring Operation: 59-13=46, Resulting Numbers: [43, 46] Generated Node #3: [43, 46] from Operation: 59-13=46 Current State: 89:[43, 46], Operations: ['76-33=43', '59-13=46'] Exploring Operation: 43+46=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 39, 82, 10, 72 ]
39
[ "39+82=121", "10+72=82", "121-82=39" ]
Current State: 39:[39, 82, 10, 72], Operations: [] Exploring Operation: 39+82=121, Resulting Numbers: [10, 72, 121] Generated Node #2: [10, 72, 121] from Operation: 39+82=121 Current State: 39:[10, 72, 121], Operations: ['39+82=121'] Exploring Operation: 10+72=82, Resulting Numbers: [121, 82] Generated Node #3: [121, 82] from Operation: 10+72=82 Current State: 39:[121, 82], Operations: ['39+82=121', '10+72=82'] Exploring Operation: 121-82=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 1, 73, 91, 95 ]
77
[ "1*73=73", "95-91=4", "73+4=77" ]
Current State: 77:[1, 73, 91, 95], Operations: [] Exploring Operation: 1*73=73, Resulting Numbers: [91, 95, 73] Generated Node #2: [91, 95, 73] from Operation: 1*73=73 Current State: 77:[91, 95, 73], Operations: ['1*73=73'] Exploring Operation: 95-91=4, Resulting Numbers: [73, 4] Generated Node #3: [73, 4] from Operation: 95-91=4 Current State: 77:[73, 4], Operations: ['1*73=73', '95-91=4'] Exploring Operation: 73+4=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 3, 68, 94, 72 ]
54
[ "3*72=216", "68+94=162", "216-162=54" ]
Current State: 54:[3, 68, 94, 72], Operations: [] Exploring Operation: 3*72=216, Resulting Numbers: [68, 94, 216] Generated Node #2: [68, 94, 216] from Operation: 3*72=216 Current State: 54:[68, 94, 216], Operations: ['3*72=216'] Exploring Operation: 68+94=162, Resulting Numbers: [216, 162] Generated Node #3: [216, 162] from Operation: 68+94=162 Current State: 54:[216, 162], Operations: ['3*72=216', '68+94=162'] Exploring Operation: 216-162=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 12, 87, 7, 31 ]
75
[ "12+87=99", "31-7=24", "99-24=75" ]
Current State: 75:[12, 87, 7, 31], Operations: [] Exploring Operation: 12+87=99, Resulting Numbers: [7, 31, 99] Generated Node #2: [7, 31, 99] from Operation: 12+87=99 Current State: 75:[7, 31, 99], Operations: ['12+87=99'] Exploring Operation: 31-7=24, Resulting Numbers: [99, 24] Generated Node #3: [99, 24] from Operation: 31-7=24 Current State: 75:[99, 24], Operations: ['12+87=99', '31-7=24'] Exploring Operation: 99-24=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 8, 25, 95, 11 ]
89
[ "25-8=17", "95+11=106", "106-17=89" ]
Current State: 89:[8, 25, 95, 11], Operations: [] Exploring Operation: 25-8=17, Resulting Numbers: [95, 11, 17] Generated Node #2: [95, 11, 17] from Operation: 25-8=17 Current State: 89:[95, 11, 17], Operations: ['25-8=17'] Exploring Operation: 95+11=106, Resulting Numbers: [17, 106] Generated Node #3: [17, 106] from Operation: 95+11=106 Current State: 89:[17, 106], Operations: ['25-8=17', '95+11=106'] Exploring Operation: 106-17=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 85, 78, 77, 12 ]
74
[ "85+78=163", "77+12=89", "163-89=74" ]
Current State: 74:[85, 78, 77, 12], Operations: [] Exploring Operation: 85+78=163, Resulting Numbers: [77, 12, 163] Generated Node #2: [77, 12, 163] from Operation: 85+78=163 Current State: 74:[77, 12, 163], Operations: ['85+78=163'] Exploring Operation: 77+12=89, Resulting Numbers: [163, 89] Generated Node #3: [163, 89] from Operation: 77+12=89 Current State: 74:[163, 89], Operations: ['85+78=163', '77+12=89'] Exploring Operation: 163-89=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 57, 18, 16, 35 ]
57
[ "18+16=34", "35-34=1", "57*1=57" ]
Current State: 57:[57, 18, 16, 35], Operations: [] Exploring Operation: 18+16=34, Resulting Numbers: [57, 35, 34] Generated Node #2: [57, 35, 34] from Operation: 18+16=34 Current State: 57:[57, 35, 34], Operations: ['18+16=34'] Exploring Operation: 35-34=1, Resulting Numbers: [57, 1] Generated Node #3: [57, 1] from Operation: 35-34=1 Current State: 57:[57, 1], Operations: ['18+16=34', '35-34=1'] Exploring Operation: 57*1=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 6, 78, 91, 70 ]
93
[ "78-6=72", "91-70=21", "72+21=93" ]
Current State: 93:[6, 78, 91, 70], Operations: [] Exploring Operation: 78-6=72, Resulting Numbers: [91, 70, 72] Generated Node #2: [91, 70, 72] from Operation: 78-6=72 Current State: 93:[91, 70, 72], Operations: ['78-6=72'] Exploring Operation: 91-70=21, Resulting Numbers: [72, 21] Generated Node #3: [72, 21] from Operation: 91-70=21 Current State: 93:[72, 21], Operations: ['78-6=72', '91-70=21'] Exploring Operation: 72+21=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 88, 44, 22, 81 ]
29
[ "88+44=132", "22+81=103", "132-103=29" ]
Current State: 29:[88, 44, 22, 81], Operations: [] Exploring Operation: 88+44=132, Resulting Numbers: [22, 81, 132] Generated Node #2: [22, 81, 132] from Operation: 88+44=132 Current State: 29:[22, 81, 132], Operations: ['88+44=132'] Exploring Operation: 22+81=103, Resulting Numbers: [132, 103] Generated Node #3: [132, 103] from Operation: 22+81=103 Current State: 29:[132, 103], Operations: ['88+44=132', '22+81=103'] Exploring Operation: 132-103=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 68, 78, 47, 16 ]
70
[ "78+16=94", "94/47=2", "68+2=70" ]
Current State: 70:[68, 78, 47, 16], Operations: [] Exploring Operation: 78+16=94, Resulting Numbers: [68, 47, 94] Generated Node #2: [68, 47, 94] from Operation: 78+16=94 Current State: 70:[68, 47, 94], Operations: ['78+16=94'] Exploring Operation: 94/47=2, Resulting Numbers: [68, 2] Generated Node #3: [68, 2] from Operation: 94/47=2 Current State: 70:[68, 2], Operations: ['78+16=94', '94/47=2'] Exploring Operation: 68+2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 44, 59, 32, 50 ]
97
[ "59-44=15", "32+50=82", "15+82=97" ]
Current State: 97:[44, 59, 32, 50], Operations: [] Exploring Operation: 59-44=15, Resulting Numbers: [32, 50, 15] Generated Node #2: [32, 50, 15] from Operation: 59-44=15 Current State: 97:[32, 50, 15], Operations: ['59-44=15'] Exploring Operation: 32+50=82, Resulting Numbers: [15, 82] Generated Node #3: [15, 82] from Operation: 32+50=82 Current State: 97:[15, 82], Operations: ['59-44=15', '32+50=82'] Exploring Operation: 15+82=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 17, 21, 29, 92 ]
59
[ "21-17=4", "92-29=63", "63-4=59" ]
Current State: 59:[17, 21, 29, 92], Operations: [] Exploring Operation: 21-17=4, Resulting Numbers: [29, 92, 4] Generated Node #2: [29, 92, 4] from Operation: 21-17=4 Current State: 59:[29, 92, 4], Operations: ['21-17=4'] Exploring Operation: 92-29=63, Resulting Numbers: [4, 63] Generated Node #3: [4, 63] from Operation: 92-29=63 Current State: 59:[4, 63], Operations: ['21-17=4', '92-29=63'] Exploring Operation: 63-4=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 43, 2, 89, 86 ]
85
[ "86/43=2", "89-2=87", "87-2=85" ]
Current State: 85:[43, 2, 89, 86], Operations: [] Exploring Operation: 86/43=2, Resulting Numbers: [2, 89, 2] Generated Node #2: [2, 89, 2] from Operation: 86/43=2 Current State: 85:[2, 89, 2], Operations: ['86/43=2'] Exploring Operation: 89-2=87, Resulting Numbers: [87] 87,85 equal: Goal Reached Exploring Operation: 87-2=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 53, 82, 11, 2 ]
61
[ "53-11=42", "42/2=21", "82-21=61" ]
Current State: 61:[53, 82, 11, 2], Operations: [] Exploring Operation: 53-11=42, Resulting Numbers: [82, 2, 42] Generated Node #2: [82, 2, 42] from Operation: 53-11=42 Current State: 61:[82, 2, 42], Operations: ['53-11=42'] Exploring Operation: 42/2=21, Resulting Numbers: [82, 21] Generated Node #3: [82, 21] from Operation: 42/2=21 Current State: 61:[82, 21], Operations: ['53-11=42', '42/2=21'] Exploring Operation: 82-21=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 92, 54, 49, 4 ]
83
[ "92-54=38", "49-4=45", "38+45=83" ]
Current State: 83:[92, 54, 49, 4], Operations: [] Exploring Operation: 92-54=38, Resulting Numbers: [49, 4, 38] Generated Node #2: [49, 4, 38] from Operation: 92-54=38 Current State: 83:[49, 4, 38], Operations: ['92-54=38'] Exploring Operation: 49-4=45, Resulting Numbers: [38, 45] Generated Node #3: [38, 45] from Operation: 49-4=45 Current State: 83:[38, 45], Operations: ['92-54=38', '49-4=45'] Exploring Operation: 38+45=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 23, 92, 42, 1 ]
73
[ "23+92=115", "42*1=42", "115-42=73" ]
Current State: 73:[23, 92, 42, 1], Operations: [] Exploring Operation: 23+92=115, Resulting Numbers: [42, 1, 115] Generated Node #2: [42, 1, 115] from Operation: 23+92=115 Current State: 73:[42, 1, 115], Operations: ['23+92=115'] Exploring Operation: 42*1=42, Resulting Numbers: [115, 42] Generated Node #3: [115, 42] from Operation: 42*1=42 Current State: 73:[115, 42], Operations: ['23+92=115', '42*1=42'] Exploring Operation: 115-42=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 54, 82, 95, 26 ]
97
[ "82-54=28", "95-26=69", "28+69=97" ]
Current State: 97:[54, 82, 95, 26], Operations: [] Exploring Operation: 82-54=28, Resulting Numbers: [95, 26, 28] Generated Node #2: [95, 26, 28] from Operation: 82-54=28 Current State: 97:[95, 26, 28], Operations: ['82-54=28'] Exploring Operation: 95-26=69, Resulting Numbers: [28, 69] Generated Node #3: [28, 69] from Operation: 95-26=69 Current State: 97:[28, 69], Operations: ['82-54=28', '95-26=69'] Exploring Operation: 28+69=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 17, 75, 88, 17 ]
14
[ "17/17=1", "88-75=13", "1+13=14" ]
Current State: 14:[17, 75, 88, 17], Operations: [] Exploring Operation: 17/17=1, Resulting Numbers: [75, 88, 1] Generated Node #2: [75, 88, 1] from Operation: 17/17=1 Current State: 14:[75, 88, 1], Operations: ['17/17=1'] Exploring Operation: 88-75=13, Resulting Numbers: [1, 13] Generated Node #3: [1, 13] from Operation: 88-75=13 Current State: 14:[1, 13], Operations: ['17/17=1', '88-75=13'] Exploring Operation: 1+13=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 3, 54, 36, 21 ]
73
[ "36+21=57", "57/3=19", "54+19=73" ]
Current State: 73:[3, 54, 36, 21], Operations: [] Exploring Operation: 36+21=57, Resulting Numbers: [3, 54, 57] Generated Node #2: [3, 54, 57] from Operation: 36+21=57 Current State: 73:[3, 54, 57], Operations: ['36+21=57'] Exploring Operation: 57/3=19, Resulting Numbers: [54, 19] Generated Node #3: [54, 19] from Operation: 57/3=19 Current State: 73:[54, 19], Operations: ['36+21=57', '57/3=19'] Exploring Operation: 54+19=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 51, 52, 58, 98 ]
66
[ "58-51=7", "98/7=14", "52+14=66" ]
Current State: 66:[51, 52, 58, 98], Operations: [] Exploring Operation: 58-51=7, Resulting Numbers: [52, 98, 7] Generated Node #2: [52, 98, 7] from Operation: 58-51=7 Current State: 66:[52, 98, 7], Operations: ['58-51=7'] Exploring Operation: 98/7=14, Resulting Numbers: [52, 14] Generated Node #3: [52, 14] from Operation: 98/7=14 Current State: 66:[52, 14], Operations: ['58-51=7', '98/7=14'] Exploring Operation: 52+14=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 27, 31, 24, 28 ]
68
[ "31-27=4", "24*4=96", "96-28=68" ]
Current State: 68:[27, 31, 24, 28], Operations: [] Exploring Operation: 31-27=4, Resulting Numbers: [24, 28, 4] Generated Node #2: [24, 28, 4] from Operation: 31-27=4 Current State: 68:[24, 28, 4], Operations: ['31-27=4'] Exploring Operation: 24*4=96, Resulting Numbers: [28, 96] Generated Node #3: [28, 96] from Operation: 24*4=96 Current State: 68:[28, 96], Operations: ['31-27=4', '24*4=96'] Exploring Operation: 96-28=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 80, 47, 94, 12 ]
46
[ "80+12=92", "94/47=2", "92/2=46" ]
Current State: 46:[80, 47, 94, 12], Operations: [] Exploring Operation: 80+12=92, Resulting Numbers: [47, 94, 92] Generated Node #2: [47, 94, 92] from Operation: 80+12=92 Current State: 46:[47, 94, 92], Operations: ['80+12=92'] Exploring Operation: 94/47=2, Resulting Numbers: [92, 2] Generated Node #3: [92, 2] from Operation: 94/47=2 Current State: 46:[92, 2], Operations: ['80+12=92', '94/47=2'] Exploring Operation: 92/2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 9, 12, 84, 21 ]
83
[ "9+12=21", "21/21=1", "84-1=83" ]
Current State: 83:[9, 12, 84, 21], Operations: [] Exploring Operation: 9+12=21, Resulting Numbers: [84, 21, 21] Generated Node #2: [84, 21, 21] from Operation: 9+12=21 Current State: 83:[84, 21, 21], Operations: ['9+12=21'] Exploring Operation: 21/21=1, Resulting Numbers: [84, 1] Generated Node #3: [84, 1] from Operation: 21/21=1 Current State: 83:[84, 1], Operations: ['9+12=21', '21/21=1'] Exploring Operation: 84-1=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 5, 4, 2, 68 ]
83
[ "5*68=340", "340/4=85", "85-2=83" ]
Current State: 83:[5, 4, 2, 68], Operations: [] Exploring Operation: 5*68=340, Resulting Numbers: [4, 2, 340] Generated Node #2: [4, 2, 340] from Operation: 5*68=340 Current State: 83:[4, 2, 340], Operations: ['5*68=340'] Exploring Operation: 340/4=85, Resulting Numbers: [2, 85] Generated Node #3: [2, 85] from Operation: 340/4=85 Current State: 83:[2, 85], Operations: ['5*68=340', '340/4=85'] Exploring Operation: 85-2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 4, 5, 70, 11 ]
90
[ "4+5=9", "70+11=81", "9+81=90" ]
Current State: 90:[4, 5, 70, 11], Operations: [] Exploring Operation: 4+5=9, Resulting Numbers: [70, 11, 9] Generated Node #2: [70, 11, 9] from Operation: 4+5=9 Current State: 90:[70, 11, 9], Operations: ['4+5=9'] Exploring Operation: 70+11=81, Resulting Numbers: [9, 81] Generated Node #3: [9, 81] from Operation: 70+11=81 Current State: 90:[9, 81], Operations: ['4+5=9', '70+11=81'] Exploring Operation: 9+81=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 74, 90, 82, 81 ]
17
[ "90-74=16", "82-81=1", "16+1=17" ]
Current State: 17:[74, 90, 82, 81], Operations: [] Exploring Operation: 90-74=16, Resulting Numbers: [82, 81, 16] Generated Node #2: [82, 81, 16] from Operation: 90-74=16 Current State: 17:[82, 81, 16], Operations: ['90-74=16'] Exploring Operation: 82-81=1, Resulting Numbers: [16, 1] Generated Node #3: [16, 1] from Operation: 82-81=1 Current State: 17:[16, 1], Operations: ['90-74=16', '82-81=1'] Exploring Operation: 16+1=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 39, 81, 55, 53 ]
66
[ "81-39=42", "55+53=108", "108-42=66" ]
Current State: 66:[39, 81, 55, 53], Operations: [] Exploring Operation: 81-39=42, Resulting Numbers: [55, 53, 42] Generated Node #2: [55, 53, 42] from Operation: 81-39=42 Current State: 66:[55, 53, 42], Operations: ['81-39=42'] Exploring Operation: 55+53=108, Resulting Numbers: [42, 108] Generated Node #3: [42, 108] from Operation: 55+53=108 Current State: 66:[42, 108], Operations: ['81-39=42', '55+53=108'] Exploring Operation: 108-42=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 48, 70, 6, 66 ]
96
[ "70-6=64", "66-64=2", "48*2=96" ]
Current State: 96:[48, 70, 6, 66], Operations: [] Exploring Operation: 70-6=64, Resulting Numbers: [48, 66, 64] Generated Node #2: [48, 66, 64] from Operation: 70-6=64 Current State: 96:[48, 66, 64], Operations: ['70-6=64'] Exploring Operation: 66-64=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 66-64=2 Current State: 96:[48, 2], Operations: ['70-6=64', '66-64=2'] Exploring Operation: 48*2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 30, 55, 93, 99 ]
31
[ "55-30=25", "99-93=6", "25+6=31" ]
Current State: 31:[30, 55, 93, 99], Operations: [] Exploring Operation: 55-30=25, Resulting Numbers: [93, 99, 25] Generated Node #2: [93, 99, 25] from Operation: 55-30=25 Current State: 31:[93, 99, 25], Operations: ['55-30=25'] Exploring Operation: 99-93=6, Resulting Numbers: [25, 6] Generated Node #3: [25, 6] from Operation: 99-93=6 Current State: 31:[25, 6], Operations: ['55-30=25', '99-93=6'] Exploring Operation: 25+6=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 66, 4, 33, 13 ]
50
[ "66+4=70", "33-13=20", "70-20=50" ]
Current State: 50:[66, 4, 33, 13], Operations: [] Exploring Operation: 66+4=70, Resulting Numbers: [33, 13, 70] Generated Node #2: [33, 13, 70] from Operation: 66+4=70 Current State: 50:[33, 13, 70], Operations: ['66+4=70'] Exploring Operation: 33-13=20, Resulting Numbers: [70, 20] Generated Node #3: [70, 20] from Operation: 33-13=20 Current State: 50:[70, 20], Operations: ['66+4=70', '33-13=20'] Exploring Operation: 70-20=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 85, 53, 36, 84 ]
79
[ "53-36=17", "85/17=5", "84-5=79" ]
Current State: 79:[85, 53, 36, 84], Operations: [] Exploring Operation: 53-36=17, Resulting Numbers: [85, 84, 17] Generated Node #2: [85, 84, 17] from Operation: 53-36=17 Current State: 79:[85, 84, 17], Operations: ['53-36=17'] Exploring Operation: 85/17=5, Resulting Numbers: [84, 5] Generated Node #3: [84, 5] from Operation: 85/17=5 Current State: 79:[84, 5], Operations: ['53-36=17', '85/17=5'] Exploring Operation: 84-5=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 33, 21, 34, 19 ]
100
[ "21-19=2", "33*2=66", "34+66=100" ]
Current State: 100:[33, 21, 34, 19], Operations: [] Exploring Operation: 21-19=2, Resulting Numbers: [33, 34, 2] Generated Node #2: [33, 34, 2] from Operation: 21-19=2 Current State: 100:[33, 34, 2], Operations: ['21-19=2'] Exploring Operation: 33*2=66, Resulting Numbers: [34, 66] Generated Node #3: [34, 66] from Operation: 33*2=66 Current State: 100:[34, 66], Operations: ['21-19=2', '33*2=66'] Exploring Operation: 34+66=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 7, 42, 83, 64 ]
13
[ "42/7=6", "83-64=19", "19-6=13" ]
Current State: 13:[7, 42, 83, 64], Operations: [] Exploring Operation: 42/7=6, Resulting Numbers: [83, 64, 6] Generated Node #2: [83, 64, 6] from Operation: 42/7=6 Current State: 13:[83, 64, 6], Operations: ['42/7=6'] Exploring Operation: 83-64=19, Resulting Numbers: [6, 19] Generated Node #3: [6, 19] from Operation: 83-64=19 Current State: 13:[6, 19], Operations: ['42/7=6', '83-64=19'] Exploring Operation: 19-6=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 30, 2, 35, 85 ]
55
[ "85-35=50", "50/2=25", "30+25=55" ]
Current State: 55:[30, 2, 35, 85], Operations: [] Exploring Operation: 85-35=50, Resulting Numbers: [30, 2, 50] Generated Node #2: [30, 2, 50] from Operation: 85-35=50 Current State: 55:[30, 2, 50], Operations: ['85-35=50'] Exploring Operation: 50/2=25, Resulting Numbers: [30, 25] Generated Node #3: [30, 25] from Operation: 50/2=25 Current State: 55:[30, 25], Operations: ['85-35=50', '50/2=25'] Exploring Operation: 30+25=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 72, 51, 51, 99 ]
99
[ "51-51=0", "72*0=0", "99+0=99" ]
Current State: 99:[72, 51, 51, 99], Operations: [] Exploring Operation: 51-51=0, Resulting Numbers: [72, 99, 0] Generated Node #2: [72, 99, 0] from Operation: 51-51=0 Current State: 99:[72, 99, 0], Operations: ['51-51=0'] Exploring Operation: 72*0=0, Resulting Numbers: [99, 0] Generated Node #3: [99, 0] from Operation: 72*0=0 Current State: 99:[99, 0], Operations: ['51-51=0', '72*0=0'] Exploring Operation: 99+0=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 90, 87, 27, 65 ]
16
[ "90-87=3", "27*3=81", "81-65=16" ]
Current State: 16:[90, 87, 27, 65], Operations: [] Exploring Operation: 90-87=3, Resulting Numbers: [27, 65, 3] Generated Node #2: [27, 65, 3] from Operation: 90-87=3 Current State: 16:[27, 65, 3], Operations: ['90-87=3'] Exploring Operation: 27*3=81, Resulting Numbers: [65, 81] Generated Node #3: [65, 81] from Operation: 27*3=81 Current State: 16:[65, 81], Operations: ['90-87=3', '27*3=81'] Exploring Operation: 81-65=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 54, 22, 51, 47 ]
19
[ "54+22=76", "51-47=4", "76/4=19" ]
Current State: 19:[54, 22, 51, 47], Operations: [] Exploring Operation: 54+22=76, Resulting Numbers: [51, 47, 76] Generated Node #2: [51, 47, 76] from Operation: 54+22=76 Current State: 19:[51, 47, 76], Operations: ['54+22=76'] Exploring Operation: 51-47=4, Resulting Numbers: [76, 4] Generated Node #3: [76, 4] from Operation: 51-47=4 Current State: 19:[76, 4], Operations: ['54+22=76', '51-47=4'] Exploring Operation: 76/4=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 23, 70, 10, 57 ]
46
[ "23+70=93", "57-10=47", "93-47=46" ]
Current State: 46:[23, 70, 10, 57], Operations: [] Exploring Operation: 23+70=93, Resulting Numbers: [10, 57, 93] Generated Node #2: [10, 57, 93] from Operation: 23+70=93 Current State: 46:[10, 57, 93], Operations: ['23+70=93'] Exploring Operation: 57-10=47, Resulting Numbers: [93, 47] Generated Node #3: [93, 47] from Operation: 57-10=47 Current State: 46:[93, 47], Operations: ['23+70=93', '57-10=47'] Exploring Operation: 93-47=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 27, 50, 63, 63 ]
22
[ "50-27=23", "63/63=1", "23-1=22" ]
Current State: 22:[27, 50, 63, 63], Operations: [] Exploring Operation: 50-27=23, Resulting Numbers: [63, 63, 23] Generated Node #2: [63, 63, 23] from Operation: 50-27=23 Current State: 22:[63, 63, 23], Operations: ['50-27=23'] Exploring Operation: 63/63=1, Resulting Numbers: [23, 1] Generated Node #3: [23, 1] from Operation: 63/63=1 Current State: 22:[23, 1], Operations: ['50-27=23', '63/63=1'] Exploring Operation: 23-1=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 14, 8, 17, 82 ]
43
[ "14+8=22", "82-17=65", "65-22=43" ]
Current State: 43:[14, 8, 17, 82], Operations: [] Exploring Operation: 14+8=22, Resulting Numbers: [17, 82, 22] Generated Node #2: [17, 82, 22] from Operation: 14+8=22 Current State: 43:[17, 82, 22], Operations: ['14+8=22'] Exploring Operation: 82-17=65, Resulting Numbers: [22, 65] Generated Node #3: [22, 65] from Operation: 82-17=65 Current State: 43:[22, 65], Operations: ['14+8=22', '82-17=65'] Exploring Operation: 65-22=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 68, 6, 39, 73 ]
39
[ "68+6=74", "74-73=1", "39*1=39" ]
Current State: 39:[68, 6, 39, 73], Operations: [] Exploring Operation: 68+6=74, Resulting Numbers: [39, 73, 74] Generated Node #2: [39, 73, 74] from Operation: 68+6=74 Current State: 39:[39, 73, 74], Operations: ['68+6=74'] Exploring Operation: 74-73=1, Resulting Numbers: [39, 1] Generated Node #3: [39, 1] from Operation: 74-73=1 Current State: 39:[39, 1], Operations: ['68+6=74', '74-73=1'] Exploring Operation: 39*1=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 18, 89, 24, 6 ]
62
[ "18/6=3", "89-24=65", "65-3=62" ]
Current State: 62:[18, 89, 24, 6], Operations: [] Exploring Operation: 18/6=3, Resulting Numbers: [89, 24, 3] Generated Node #2: [89, 24, 3] from Operation: 18/6=3 Current State: 62:[89, 24, 3], Operations: ['18/6=3'] Exploring Operation: 89-24=65, Resulting Numbers: [3, 65] Generated Node #3: [3, 65] from Operation: 89-24=65 Current State: 62:[3, 65], Operations: ['18/6=3', '89-24=65'] Exploring Operation: 65-3=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 18, 9, 82, 68 ]
54
[ "18/9=2", "68*2=136", "136-82=54" ]
Current State: 54:[18, 9, 82, 68], Operations: [] Exploring Operation: 18/9=2, Resulting Numbers: [82, 68, 2] Generated Node #2: [82, 68, 2] from Operation: 18/9=2 Current State: 54:[82, 68, 2], Operations: ['18/9=2'] Exploring Operation: 68*2=136, Resulting Numbers: [82, 136] Generated Node #3: [82, 136] from Operation: 68*2=136 Current State: 54:[82, 136], Operations: ['18/9=2', '68*2=136'] Exploring Operation: 136-82=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 88, 15, 46, 77 ]
42
[ "88-15=73", "77-46=31", "73-31=42" ]
Current State: 42:[88, 15, 46, 77], Operations: [] Exploring Operation: 88-15=73, Resulting Numbers: [46, 77, 73] Generated Node #2: [46, 77, 73] from Operation: 88-15=73 Current State: 42:[46, 77, 73], Operations: ['88-15=73'] Exploring Operation: 77-46=31, Resulting Numbers: [73, 31] Generated Node #3: [73, 31] from Operation: 77-46=31 Current State: 42:[73, 31], Operations: ['88-15=73', '77-46=31'] Exploring Operation: 73-31=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 20, 60, 37, 1 ]
39
[ "60/20=3", "37-1=36", "3+36=39" ]
Current State: 39:[20, 60, 37, 1], Operations: [] Exploring Operation: 60/20=3, Resulting Numbers: [37, 1, 3] Generated Node #2: [37, 1, 3] from Operation: 60/20=3 Current State: 39:[37, 1, 3], Operations: ['60/20=3'] Exploring Operation: 37-1=36, Resulting Numbers: [3, 36] Generated Node #3: [3, 36] from Operation: 37-1=36 Current State: 39:[3, 36], Operations: ['60/20=3', '37-1=36'] Exploring Operation: 3+36=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 7, 9, 18, 96 ]
91
[ "96-7=89", "18/9=2", "89+2=91" ]
Current State: 91:[7, 9, 18, 96], Operations: [] Exploring Operation: 96-7=89, Resulting Numbers: [9, 18, 89] Generated Node #2: [9, 18, 89] from Operation: 96-7=89 Current State: 91:[9, 18, 89], Operations: ['96-7=89'] Exploring Operation: 18/9=2, Resulting Numbers: [89, 2] Generated Node #3: [89, 2] from Operation: 18/9=2 Current State: 91:[89, 2], Operations: ['96-7=89', '18/9=2'] Exploring Operation: 89+2=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 44, 21, 7, 87 ]
57
[ "44-21=23", "87-7=80", "80-23=57" ]
Current State: 57:[44, 21, 7, 87], Operations: [] Exploring Operation: 44-21=23, Resulting Numbers: [7, 87, 23] Generated Node #2: [7, 87, 23] from Operation: 44-21=23 Current State: 57:[7, 87, 23], Operations: ['44-21=23'] Exploring Operation: 87-7=80, Resulting Numbers: [23, 80] Generated Node #3: [23, 80] from Operation: 87-7=80 Current State: 57:[23, 80], Operations: ['44-21=23', '87-7=80'] Exploring Operation: 80-23=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 34, 12, 19, 24 ]
87
[ "34*24=816", "816/12=68", "19+68=87" ]
Current State: 87:[34, 12, 19, 24], Operations: [] Exploring Operation: 34*24=816, Resulting Numbers: [12, 19, 816] Generated Node #2: [12, 19, 816] from Operation: 34*24=816 Current State: 87:[12, 19, 816], Operations: ['34*24=816'] Exploring Operation: 816/12=68, Resulting Numbers: [19, 68] Generated Node #3: [19, 68] from Operation: 816/12=68 Current State: 87:[19, 68], Operations: ['34*24=816', '816/12=68'] Exploring Operation: 19+68=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 3, 58, 5, 12 ]
99
[ "3*12=36", "58+5=63", "36+63=99" ]
Current State: 99:[3, 58, 5, 12], Operations: [] Exploring Operation: 3*12=36, Resulting Numbers: [58, 5, 36] Generated Node #2: [58, 5, 36] from Operation: 3*12=36 Current State: 99:[58, 5, 36], Operations: ['3*12=36'] Exploring Operation: 58+5=63, Resulting Numbers: [36, 63] Generated Node #3: [36, 63] from Operation: 58+5=63 Current State: 99:[36, 63], Operations: ['3*12=36', '58+5=63'] Exploring Operation: 36+63=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 25, 51, 31, 4 ]
12
[ "25+51=76", "76/4=19", "31-19=12" ]
Current State: 12:[25, 51, 31, 4], Operations: [] Exploring Operation: 25+51=76, Resulting Numbers: [31, 4, 76] Generated Node #2: [31, 4, 76] from Operation: 25+51=76 Current State: 12:[31, 4, 76], Operations: ['25+51=76'] Exploring Operation: 76/4=19, Resulting Numbers: [31, 19] Generated Node #3: [31, 19] from Operation: 76/4=19 Current State: 12:[31, 19], Operations: ['25+51=76', '76/4=19'] Exploring Operation: 31-19=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 63, 29, 26, 5 ]
32
[ "26-5=21", "63/21=3", "29+3=32" ]
Current State: 32:[63, 29, 26, 5], Operations: [] Exploring Operation: 26-5=21, Resulting Numbers: [63, 29, 21] Generated Node #2: [63, 29, 21] from Operation: 26-5=21 Current State: 32:[63, 29, 21], Operations: ['26-5=21'] Exploring Operation: 63/21=3, Resulting Numbers: [29, 3] Generated Node #3: [29, 3] from Operation: 63/21=3 Current State: 32:[29, 3], Operations: ['26-5=21', '63/21=3'] Exploring Operation: 29+3=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 32, 69, 23, 62 ]
91
[ "32+62=94", "69/23=3", "94-3=91" ]
Current State: 91:[32, 69, 23, 62], Operations: [] Exploring Operation: 32+62=94, Resulting Numbers: [69, 23, 94] Generated Node #2: [69, 23, 94] from Operation: 32+62=94 Current State: 91:[69, 23, 94], Operations: ['32+62=94'] Exploring Operation: 69/23=3, Resulting Numbers: [94, 3] Generated Node #3: [94, 3] from Operation: 69/23=3 Current State: 91:[94, 3], Operations: ['32+62=94', '69/23=3'] Exploring Operation: 94-3=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 73, 1, 28, 34 ]
80
[ "73+1=74", "34-28=6", "74+6=80" ]
Current State: 80:[73, 1, 28, 34], Operations: [] Exploring Operation: 73+1=74, Resulting Numbers: [28, 34, 74] Generated Node #2: [28, 34, 74] from Operation: 73+1=74 Current State: 80:[28, 34, 74], Operations: ['73+1=74'] Exploring Operation: 34-28=6, Resulting Numbers: [74, 6] Generated Node #3: [74, 6] from Operation: 34-28=6 Current State: 80:[74, 6], Operations: ['73+1=74', '34-28=6'] Exploring Operation: 74+6=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 2, 70, 6, 66 ]
24
[ "70/2=35", "66/6=11", "35-11=24" ]
Current State: 24:[2, 70, 6, 66], Operations: [] Exploring Operation: 70/2=35, Resulting Numbers: [6, 66, 35] Generated Node #2: [6, 66, 35] from Operation: 70/2=35 Current State: 24:[6, 66, 35], Operations: ['70/2=35'] Exploring Operation: 66/6=11, Resulting Numbers: [35, 11] Generated Node #3: [35, 11] from Operation: 66/6=11 Current State: 24:[35, 11], Operations: ['70/2=35', '66/6=11'] Exploring Operation: 35-11=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 45, 73, 40, 34 ]
45
[ "73-40=33", "34-33=1", "45*1=45" ]
Current State: 45:[45, 73, 40, 34], Operations: [] Exploring Operation: 73-40=33, Resulting Numbers: [45, 34, 33] Generated Node #2: [45, 34, 33] from Operation: 73-40=33 Current State: 45:[45, 34, 33], Operations: ['73-40=33'] Exploring Operation: 34-33=1, Resulting Numbers: [45, 1] Generated Node #3: [45, 1] from Operation: 34-33=1 Current State: 45:[45, 1], Operations: ['73-40=33', '34-33=1'] Exploring Operation: 45*1=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 64, 4, 62, 32 ]
78
[ "64/4=16", "62+32=94", "94-16=78" ]
Current State: 78:[64, 4, 62, 32], Operations: [] Exploring Operation: 64/4=16, Resulting Numbers: [62, 32, 16] Generated Node #2: [62, 32, 16] from Operation: 64/4=16 Current State: 78:[62, 32, 16], Operations: ['64/4=16'] Exploring Operation: 62+32=94, Resulting Numbers: [16, 94] Generated Node #3: [16, 94] from Operation: 62+32=94 Current State: 78:[16, 94], Operations: ['64/4=16', '62+32=94'] Exploring Operation: 94-16=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 52, 56, 2, 38 ]
99
[ "56+38=94", "94/2=47", "52+47=99" ]
Current State: 99:[52, 56, 2, 38], Operations: [] Exploring Operation: 56+38=94, Resulting Numbers: [52, 2, 94] Generated Node #2: [52, 2, 94] from Operation: 56+38=94 Current State: 99:[52, 2, 94], Operations: ['56+38=94'] Exploring Operation: 94/2=47, Resulting Numbers: [52, 47] Generated Node #3: [52, 47] from Operation: 94/2=47 Current State: 99:[52, 47], Operations: ['56+38=94', '94/2=47'] Exploring Operation: 52+47=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 4, 21, 34, 42 ]
42
[ "4*42=168", "168/21=8", "34+8=42" ]
Current State: 42:[4, 21, 34, 42], Operations: [] Exploring Operation: 4*42=168, Resulting Numbers: [21, 34, 168] Generated Node #2: [21, 34, 168] from Operation: 4*42=168 Current State: 42:[21, 34, 168], Operations: ['4*42=168'] Exploring Operation: 168/21=8, Resulting Numbers: [34, 8] Generated Node #3: [34, 8] from Operation: 168/21=8 Current State: 42:[34, 8], Operations: ['4*42=168', '168/21=8'] Exploring Operation: 34+8=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 95, 20, 42, 30 ]
63
[ "95-20=75", "42-30=12", "75-12=63" ]
Current State: 63:[95, 20, 42, 30], Operations: [] Exploring Operation: 95-20=75, Resulting Numbers: [42, 30, 75] Generated Node #2: [42, 30, 75] from Operation: 95-20=75 Current State: 63:[42, 30, 75], Operations: ['95-20=75'] Exploring Operation: 42-30=12, Resulting Numbers: [75, 12] Generated Node #3: [75, 12] from Operation: 42-30=12 Current State: 63:[75, 12], Operations: ['95-20=75', '42-30=12'] Exploring Operation: 75-12=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 96, 76, 43, 4 ]
38
[ "96-76=20", "20/4=5", "43-5=38" ]
Current State: 38:[96, 76, 43, 4], Operations: [] Exploring Operation: 96-76=20, Resulting Numbers: [43, 4, 20] Generated Node #2: [43, 4, 20] from Operation: 96-76=20 Current State: 38:[43, 4, 20], Operations: ['96-76=20'] Exploring Operation: 20/4=5, Resulting Numbers: [43, 5] Generated Node #3: [43, 5] from Operation: 20/4=5 Current State: 38:[43, 5], Operations: ['96-76=20', '20/4=5'] Exploring Operation: 43-5=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 38, 7, 62, 10 ]
46
[ "62-38=24", "7*10=70", "70-24=46" ]
Current State: 46:[38, 7, 62, 10], Operations: [] Exploring Operation: 62-38=24, Resulting Numbers: [7, 10, 24] Generated Node #2: [7, 10, 24] from Operation: 62-38=24 Current State: 46:[7, 10, 24], Operations: ['62-38=24'] Exploring Operation: 7*10=70, Resulting Numbers: [24, 70] Generated Node #3: [24, 70] from Operation: 7*10=70 Current State: 46:[24, 70], Operations: ['62-38=24', '7*10=70'] Exploring Operation: 70-24=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 61, 15, 63, 6 ]
54
[ "15-6=9", "63/9=7", "61-7=54" ]
Current State: 54:[61, 15, 63, 6], Operations: [] Exploring Operation: 15-6=9, Resulting Numbers: [61, 63, 9] Generated Node #2: [61, 63, 9] from Operation: 15-6=9 Current State: 54:[61, 63, 9], Operations: ['15-6=9'] Exploring Operation: 63/9=7, Resulting Numbers: [61, 7] Generated Node #3: [61, 7] from Operation: 63/9=7 Current State: 54:[61, 7], Operations: ['15-6=9', '63/9=7'] Exploring Operation: 61-7=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 45, 85, 73, 80 ]
75
[ "85-45=40", "80/40=2", "73+2=75" ]
Current State: 75:[45, 85, 73, 80], Operations: [] Exploring Operation: 85-45=40, Resulting Numbers: [73, 80, 40] Generated Node #2: [73, 80, 40] from Operation: 85-45=40 Current State: 75:[73, 80, 40], Operations: ['85-45=40'] Exploring Operation: 80/40=2, Resulting Numbers: [73, 2] Generated Node #3: [73, 2] from Operation: 80/40=2 Current State: 75:[73, 2], Operations: ['85-45=40', '80/40=2'] Exploring Operation: 73+2=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 96, 56, 93, 46 ]
82
[ "96-93=3", "46*3=138", "138-56=82" ]
Current State: 82:[96, 56, 93, 46], Operations: [] Exploring Operation: 96-93=3, Resulting Numbers: [56, 46, 3] Generated Node #2: [56, 46, 3] from Operation: 96-93=3 Current State: 82:[56, 46, 3], Operations: ['96-93=3'] Exploring Operation: 46*3=138, Resulting Numbers: [56, 138] Generated Node #3: [56, 138] from Operation: 46*3=138 Current State: 82:[56, 138], Operations: ['96-93=3', '46*3=138'] Exploring Operation: 138-56=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 14, 29, 1, 35 ]
85
[ "35-29=6", "14*6=84", "1+84=85" ]
Current State: 85:[14, 29, 1, 35], Operations: [] Exploring Operation: 35-29=6, Resulting Numbers: [14, 1, 6] Generated Node #2: [14, 1, 6] from Operation: 35-29=6 Current State: 85:[14, 1, 6], Operations: ['35-29=6'] Exploring Operation: 14*6=84, Resulting Numbers: [1, 84] Generated Node #3: [1, 84] from Operation: 14*6=84 Current State: 85:[1, 84], Operations: ['35-29=6', '14*6=84'] Exploring Operation: 1+84=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 31, 25, 4, 38 ]
53
[ "38-31=7", "4*7=28", "25+28=53" ]
Current State: 53:[31, 25, 4, 38], Operations: [] Exploring Operation: 38-31=7, Resulting Numbers: [25, 4, 7] Generated Node #2: [25, 4, 7] from Operation: 38-31=7 Current State: 53:[25, 4, 7], Operations: ['38-31=7'] Exploring Operation: 4*7=28, Resulting Numbers: [25, 28] Generated Node #3: [25, 28] from Operation: 4*7=28 Current State: 53:[25, 28], Operations: ['38-31=7', '4*7=28'] Exploring Operation: 25+28=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 6, 85, 38, 76 ]
35
[ "85-6=79", "38+76=114", "114-79=35" ]
Current State: 35:[6, 85, 38, 76], Operations: [] Exploring Operation: 85-6=79, Resulting Numbers: [38, 76, 79] Generated Node #2: [38, 76, 79] from Operation: 85-6=79 Current State: 35:[38, 76, 79], Operations: ['85-6=79'] Exploring Operation: 38+76=114, Resulting Numbers: [79, 114] Generated Node #3: [79, 114] from Operation: 38+76=114 Current State: 35:[79, 114], Operations: ['85-6=79', '38+76=114'] Exploring Operation: 114-79=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 99, 86, 59, 90 ]
18
[ "99-86=13", "90-59=31", "31-13=18" ]
Current State: 18:[99, 86, 59, 90], Operations: [] Exploring Operation: 99-86=13, Resulting Numbers: [59, 90, 13] Generated Node #2: [59, 90, 13] from Operation: 99-86=13 Current State: 18:[59, 90, 13], Operations: ['99-86=13'] Exploring Operation: 90-59=31, Resulting Numbers: [13, 31] Generated Node #3: [13, 31] from Operation: 90-59=31 Current State: 18:[13, 31], Operations: ['99-86=13', '90-59=31'] Exploring Operation: 31-13=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 7, 5, 5, 5 ]
57
[ "5+5=10", "5*10=50", "7+50=57" ]
Current State: 57:[7, 5, 5, 5], Operations: [] Exploring Operation: 5+5=10, Resulting Numbers: [7, 10] Generated Node #2: [7, 10] from Operation: 5+5=10 Current State: 57:[7, 10], Operations: ['5+5=10'] Exploring Operation: 5*10=50, Resulting Numbers: [7, 50] Generated Node #3: [7, 50] from Operation: 5*10=50 Current State: 57:[7, 50], Operations: ['5+5=10', '5*10=50'] Exploring Operation: 7+50=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 30, 33, 51, 29 ]
83
[ "33-30=3", "51+29=80", "3+80=83" ]
Current State: 83:[30, 33, 51, 29], Operations: [] Exploring Operation: 33-30=3, Resulting Numbers: [51, 29, 3] Generated Node #2: [51, 29, 3] from Operation: 33-30=3 Current State: 83:[51, 29, 3], Operations: ['33-30=3'] Exploring Operation: 51+29=80, Resulting Numbers: [3, 80] Generated Node #3: [3, 80] from Operation: 51+29=80 Current State: 83:[3, 80], Operations: ['33-30=3', '51+29=80'] Exploring Operation: 3+80=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 4, 93, 60, 13 ]
17
[ "13-4=9", "93+60=153", "153/9=17" ]
Current State: 17:[4, 93, 60, 13], Operations: [] Exploring Operation: 13-4=9, Resulting Numbers: [93, 60, 9] Generated Node #2: [93, 60, 9] from Operation: 13-4=9 Current State: 17:[93, 60, 9], Operations: ['13-4=9'] Exploring Operation: 93+60=153, Resulting Numbers: [9, 153] Generated Node #3: [9, 153] from Operation: 93+60=153 Current State: 17:[9, 153], Operations: ['13-4=9', '93+60=153'] Exploring Operation: 153/9=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 71, 30, 96, 17 ]
22
[ "71+30=101", "96-17=79", "101-79=22" ]
Current State: 22:[71, 30, 96, 17], Operations: [] Exploring Operation: 71+30=101, Resulting Numbers: [96, 17, 101] Generated Node #2: [96, 17, 101] from Operation: 71+30=101 Current State: 22:[96, 17, 101], Operations: ['71+30=101'] Exploring Operation: 96-17=79, Resulting Numbers: [101, 79] Generated Node #3: [101, 79] from Operation: 96-17=79 Current State: 22:[101, 79], Operations: ['71+30=101', '96-17=79'] Exploring Operation: 101-79=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 41, 13, 56, 84 ]
28
[ "13*84=1092", "56+1092=1148", "1148/41=28" ]
Current State: 28:[41, 13, 56, 84], Operations: [] Exploring Operation: 13*84=1092, Resulting Numbers: [41, 56, 1092] Generated Node #2: [41, 56, 1092] from Operation: 13*84=1092 Current State: 28:[41, 56, 1092], Operations: ['13*84=1092'] Exploring Operation: 56+1092=1148, Resulting Numbers: [41, 1148] Generated Node #3: [41, 1148] from Operation: 56+1092=1148 Current State: 28:[41, 1148], Operations: ['13*84=1092', '56+1092=1148'] Exploring Operation: 1148/41=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 42, 34, 17, 49 ]
35
[ "42*34=1428", "1428/17=84", "84-49=35" ]
Current State: 35:[42, 34, 17, 49], Operations: [] Exploring Operation: 42*34=1428, Resulting Numbers: [17, 49, 1428] Generated Node #2: [17, 49, 1428] from Operation: 42*34=1428 Current State: 35:[17, 49, 1428], Operations: ['42*34=1428'] Exploring Operation: 1428/17=84, Resulting Numbers: [49, 84] Generated Node #3: [49, 84] from Operation: 1428/17=84 Current State: 35:[49, 84], Operations: ['42*34=1428', '1428/17=84'] Exploring Operation: 84-49=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 2, 9, 18, 66 ]
35
[ "66/2=33", "18/9=2", "33+2=35" ]
Current State: 35:[2, 9, 18, 66], Operations: [] Exploring Operation: 66/2=33, Resulting Numbers: [9, 18, 33] Generated Node #2: [9, 18, 33] from Operation: 66/2=33 Current State: 35:[9, 18, 33], Operations: ['66/2=33'] Exploring Operation: 18/9=2, Resulting Numbers: [33, 2] Generated Node #3: [33, 2] from Operation: 18/9=2 Current State: 35:[33, 2], Operations: ['66/2=33', '18/9=2'] Exploring Operation: 33+2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 82, 35, 84, 26 ]
63
[ "82-35=47", "84+26=110", "110-47=63" ]
Current State: 63:[82, 35, 84, 26], Operations: [] Exploring Operation: 82-35=47, Resulting Numbers: [84, 26, 47] Generated Node #2: [84, 26, 47] from Operation: 82-35=47 Current State: 63:[84, 26, 47], Operations: ['82-35=47'] Exploring Operation: 84+26=110, Resulting Numbers: [47, 110] Generated Node #3: [47, 110] from Operation: 84+26=110 Current State: 63:[47, 110], Operations: ['82-35=47', '84+26=110'] Exploring Operation: 110-47=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 39, 67, 76, 18 ]
41
[ "76-67=9", "18/9=2", "39+2=41" ]
Current State: 41:[39, 67, 76, 18], Operations: [] Exploring Operation: 76-67=9, Resulting Numbers: [39, 18, 9] Generated Node #2: [39, 18, 9] from Operation: 76-67=9 Current State: 41:[39, 18, 9], Operations: ['76-67=9'] Exploring Operation: 18/9=2, Resulting Numbers: [39, 2] Generated Node #3: [39, 2] from Operation: 18/9=2 Current State: 41:[39, 2], Operations: ['76-67=9', '18/9=2'] Exploring Operation: 39+2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 9, 69, 46, 46 ]
69
[ "46-46=0", "9*0=0", "69+0=69" ]
Current State: 69:[9, 69, 46, 46], Operations: [] Exploring Operation: 46-46=0, Resulting Numbers: [9, 69, 0] Generated Node #2: [9, 69, 0] from Operation: 46-46=0 Current State: 69:[9, 69, 0], Operations: ['46-46=0'] Exploring Operation: 9*0=0, Resulting Numbers: [69, 0] Generated Node #3: [69, 0] from Operation: 9*0=0 Current State: 69:[69, 0], Operations: ['46-46=0', '9*0=0'] Exploring Operation: 69+0=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 39, 20, 80, 40 ]
61
[ "39+20=59", "80+40=120", "120-59=61" ]
Current State: 61:[39, 20, 80, 40], Operations: [] Exploring Operation: 39+20=59, Resulting Numbers: [80, 40, 59] Generated Node #2: [80, 40, 59] from Operation: 39+20=59 Current State: 61:[80, 40, 59], Operations: ['39+20=59'] Exploring Operation: 80+40=120, Resulting Numbers: [59, 120] Generated Node #3: [59, 120] from Operation: 80+40=120 Current State: 61:[59, 120], Operations: ['39+20=59', '80+40=120'] Exploring Operation: 120-59=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 95, 15, 24, 18 ]
97
[ "24-15=9", "18/9=2", "95+2=97" ]
Current State: 97:[95, 15, 24, 18], Operations: [] Exploring Operation: 24-15=9, Resulting Numbers: [95, 18, 9] Generated Node #2: [95, 18, 9] from Operation: 24-15=9 Current State: 97:[95, 18, 9], Operations: ['24-15=9'] Exploring Operation: 18/9=2, Resulting Numbers: [95, 2] Generated Node #3: [95, 2] from Operation: 18/9=2 Current State: 97:[95, 2], Operations: ['24-15=9', '18/9=2'] Exploring Operation: 95+2=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 98, 86, 5, 43 ]
60
[ "98-86=12", "5+43=48", "12+48=60" ]
Current State: 60:[98, 86, 5, 43], Operations: [] Exploring Operation: 98-86=12, Resulting Numbers: [5, 43, 12] Generated Node #2: [5, 43, 12] from Operation: 98-86=12 Current State: 60:[5, 43, 12], Operations: ['98-86=12'] Exploring Operation: 5+43=48, Resulting Numbers: [12, 48] Generated Node #3: [12, 48] from Operation: 5+43=48 Current State: 60:[12, 48], Operations: ['98-86=12', '5+43=48'] Exploring Operation: 12+48=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 63, 20, 30, 72 ]
90
[ "63+72=135", "20*135=2700", "2700/30=90" ]
Current State: 90:[63, 20, 30, 72], Operations: [] Exploring Operation: 63+72=135, Resulting Numbers: [20, 30, 135] Generated Node #2: [20, 30, 135] from Operation: 63+72=135 Current State: 90:[20, 30, 135], Operations: ['63+72=135'] Exploring Operation: 20*135=2700, Resulting Numbers: [30, 2700] Generated Node #3: [30, 2700] from Operation: 20*135=2700 Current State: 90:[30, 2700], Operations: ['63+72=135', '20*135=2700'] Exploring Operation: 2700/30=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4