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
[ 5, 9, 22, 69 ]
92
[ "5*9=45", "69-22=47", "45+47=92" ]
Current State: 92:[5, 9, 22, 69], Operations: [] Exploring Operation: 5*9=45, Resulting Numbers: [22, 69, 45] Generated Node #2: [22, 69, 45] from Operation: 5*9=45 Current State: 92:[22, 69, 45], Operations: ['5*9=45'] Exploring Operation: 69-22=47, Resulting Numbers: [45, 47] Generated Node #3: [45, 47] from Operation: 69-22=47 Current State: 92:[45, 47], Operations: ['5*9=45', '69-22=47'] Exploring Operation: 45+47=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 12, 41, 43, 8 ]
15
[ "41+43=84", "84/12=7", "8+7=15" ]
Current State: 15:[12, 41, 43, 8], Operations: [] Exploring Operation: 41+43=84, Resulting Numbers: [12, 8, 84] Generated Node #2: [12, 8, 84] from Operation: 41+43=84 Current State: 15:[12, 8, 84], Operations: ['41+43=84'] Exploring Operation: 84/12=7, Resulting Numbers: [8, 7] Generated Node #3: [8, 7] from Operation: 84/12=7 Current State: 15:[8, 7], Operations: ['41+43=84', '84/12=7'] Exploring Operation: 8+7=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 37, 90, 54, 92 ]
33
[ "92-37=55", "54*55=2970", "2970/90=33" ]
Current State: 33:[37, 90, 54, 92], Operations: [] Exploring Operation: 92-37=55, Resulting Numbers: [90, 54, 55] Generated Node #2: [90, 54, 55] from Operation: 92-37=55 Current State: 33:[90, 54, 55], Operations: ['92-37=55'] Exploring Operation: 54*55=2970, Resulting Numbers: [90, 2970] Generated Node #3: [90, 2970] from Operation: 54*55=2970 Current State: 33:[90, 2970], Operations: ['92-37=55', '54*55=2970'] Exploring Operation: 2970/90=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 44, 99, 89, 9 ]
85
[ "44*9=396", "396/99=4", "89-4=85" ]
Current State: 85:[44, 99, 89, 9], Operations: [] Exploring Operation: 44*9=396, Resulting Numbers: [99, 89, 396] Generated Node #2: [99, 89, 396] from Operation: 44*9=396 Current State: 85:[99, 89, 396], Operations: ['44*9=396'] Exploring Operation: 396/99=4, Resulting Numbers: [89, 4] Generated Node #3: [89, 4] from Operation: 396/99=4 Current State: 85:[89, 4], Operations: ['44*9=396', '396/99=4'] Exploring Operation: 89-4=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 41, 26, 2, 43 ]
26
[ "41+26=67", "43-2=41", "67-41=26" ]
Current State: 26:[41, 26, 2, 43], Operations: [] Exploring Operation: 41+26=67, Resulting Numbers: [2, 43, 67] Generated Node #2: [2, 43, 67] from Operation: 41+26=67 Current State: 26:[2, 43, 67], Operations: ['41+26=67'] Exploring Operation: 43-2=41, Resulting Numbers: [67, 41] Generated Node #3: [67, 41] from Operation: 43-2=41 Current State: 26:[67, 41], Operations: ['41+26=67', '43-2=41'] Exploring Operation: 67-41=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 33, 6, 57, 46 ]
50
[ "33+6=39", "57-46=11", "39+11=50" ]
Current State: 50:[33, 6, 57, 46], Operations: [] Exploring Operation: 33+6=39, Resulting Numbers: [57, 46, 39] Generated Node #2: [57, 46, 39] from Operation: 33+6=39 Current State: 50:[57, 46, 39], Operations: ['33+6=39'] Exploring Operation: 57-46=11, Resulting Numbers: [39, 11] Generated Node #3: [39, 11] from Operation: 57-46=11 Current State: 50:[39, 11], Operations: ['33+6=39', '57-46=11'] Exploring Operation: 39+11=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 66, 25, 4, 96 ]
65
[ "66-25=41", "96/4=24", "41+24=65" ]
Current State: 65:[66, 25, 4, 96], Operations: [] Exploring Operation: 66-25=41, Resulting Numbers: [4, 96, 41] Generated Node #2: [4, 96, 41] from Operation: 66-25=41 Current State: 65:[4, 96, 41], Operations: ['66-25=41'] Exploring Operation: 96/4=24, Resulting Numbers: [41, 24] Generated Node #3: [41, 24] from Operation: 96/4=24 Current State: 65:[41, 24], Operations: ['66-25=41', '96/4=24'] Exploring Operation: 41+24=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 15, 23, 21, 9 ]
31
[ "21-15=6", "9*6=54", "54-23=31" ]
Current State: 31:[15, 23, 21, 9], Operations: [] Exploring Operation: 21-15=6, Resulting Numbers: [23, 9, 6] Generated Node #2: [23, 9, 6] from Operation: 21-15=6 Current State: 31:[23, 9, 6], Operations: ['21-15=6'] Exploring Operation: 9*6=54, Resulting Numbers: [23, 54] Generated Node #3: [23, 54] from Operation: 9*6=54 Current State: 31:[23, 54], Operations: ['21-15=6', '9*6=54'] Exploring Operation: 54-23=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 13, 69, 16, 11 ]
83
[ "13*69=897", "16+897=913", "913/11=83" ]
Current State: 83:[13, 69, 16, 11], Operations: [] Exploring Operation: 13*69=897, Resulting Numbers: [16, 11, 897] Generated Node #2: [16, 11, 897] from Operation: 13*69=897 Current State: 83:[16, 11, 897], Operations: ['13*69=897'] Exploring Operation: 16+897=913, Resulting Numbers: [11, 913] Generated Node #3: [11, 913] from Operation: 16+897=913 Current State: 83:[11, 913], Operations: ['13*69=897', '16+897=913'] Exploring Operation: 913/11=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 51, 47, 55, 39 ]
41
[ "47+55=102", "102/51=2", "39+2=41" ]
Current State: 41:[51, 47, 55, 39], Operations: [] Exploring Operation: 47+55=102, Resulting Numbers: [51, 39, 102] Generated Node #2: [51, 39, 102] from Operation: 47+55=102 Current State: 41:[51, 39, 102], Operations: ['47+55=102'] Exploring Operation: 102/51=2, Resulting Numbers: [39, 2] Generated Node #3: [39, 2] from Operation: 102/51=2 Current State: 41:[39, 2], Operations: ['47+55=102', '102/51=2'] Exploring Operation: 39+2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 3, 97, 36, 3 ]
97
[ "3-3=0", "36*0=0", "97+0=97" ]
Current State: 97:[3, 97, 36, 3], Operations: [] Exploring Operation: 3-3=0, Resulting Numbers: [97, 36, 0] Generated Node #2: [97, 36, 0] from Operation: 3-3=0 Current State: 97:[97, 36, 0], Operations: ['3-3=0'] Exploring Operation: 36*0=0, Resulting Numbers: [97, 0] Generated Node #3: [97, 0] from Operation: 36*0=0 Current State: 97:[97, 0], Operations: ['3-3=0', '36*0=0'] Exploring Operation: 97+0=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 21, 90, 1, 8 ]
61
[ "90-21=69", "1*8=8", "69-8=61" ]
Current State: 61:[21, 90, 1, 8], Operations: [] Exploring Operation: 90-21=69, Resulting Numbers: [1, 8, 69] Generated Node #2: [1, 8, 69] from Operation: 90-21=69 Current State: 61:[1, 8, 69], Operations: ['90-21=69'] Exploring Operation: 1*8=8, Resulting Numbers: [69, 8] Generated Node #3: [69, 8] from Operation: 1*8=8 Current State: 61:[69, 8], Operations: ['90-21=69', '1*8=8'] Exploring Operation: 69-8=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 3, 24, 7, 59 ]
74
[ "24/3=8", "7+59=66", "8+66=74" ]
Current State: 74:[3, 24, 7, 59], Operations: [] Exploring Operation: 24/3=8, Resulting Numbers: [7, 59, 8] Generated Node #2: [7, 59, 8] from Operation: 24/3=8 Current State: 74:[7, 59, 8], Operations: ['24/3=8'] Exploring Operation: 7+59=66, Resulting Numbers: [8, 66] Generated Node #3: [8, 66] from Operation: 7+59=66 Current State: 74:[8, 66], Operations: ['24/3=8', '7+59=66'] Exploring Operation: 8+66=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 78, 99, 93, 53 ]
61
[ "99-78=21", "93-53=40", "21+40=61" ]
Current State: 61:[78, 99, 93, 53], Operations: [] Exploring Operation: 99-78=21, Resulting Numbers: [93, 53, 21] Generated Node #2: [93, 53, 21] from Operation: 99-78=21 Current State: 61:[93, 53, 21], Operations: ['99-78=21'] Exploring Operation: 93-53=40, Resulting Numbers: [21, 40] Generated Node #3: [21, 40] from Operation: 93-53=40 Current State: 61:[21, 40], Operations: ['99-78=21', '93-53=40'] Exploring Operation: 21+40=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 74, 83, 95, 35 ]
97
[ "74+83=157", "95-35=60", "157-60=97" ]
Current State: 97:[74, 83, 95, 35], Operations: [] Exploring Operation: 74+83=157, Resulting Numbers: [95, 35, 157] Generated Node #2: [95, 35, 157] from Operation: 74+83=157 Current State: 97:[95, 35, 157], Operations: ['74+83=157'] Exploring Operation: 95-35=60, Resulting Numbers: [157, 60] Generated Node #3: [157, 60] from Operation: 95-35=60 Current State: 97:[157, 60], Operations: ['74+83=157', '95-35=60'] Exploring Operation: 157-60=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 20, 24, 86, 77 ]
28
[ "86-20=66", "24*77=1848", "1848/66=28" ]
Current State: 28:[20, 24, 86, 77], Operations: [] Exploring Operation: 86-20=66, Resulting Numbers: [24, 77, 66] Generated Node #2: [24, 77, 66] from Operation: 86-20=66 Current State: 28:[24, 77, 66], Operations: ['86-20=66'] Exploring Operation: 24*77=1848, Resulting Numbers: [66, 1848] Generated Node #3: [66, 1848] from Operation: 24*77=1848 Current State: 28:[66, 1848], Operations: ['86-20=66', '24*77=1848'] Exploring Operation: 1848/66=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 22, 27, 26, 40 ]
81
[ "26+40=66", "66/22=3", "27*3=81" ]
Current State: 81:[22, 27, 26, 40], Operations: [] Exploring Operation: 26+40=66, Resulting Numbers: [22, 27, 66] Generated Node #2: [22, 27, 66] from Operation: 26+40=66 Current State: 81:[22, 27, 66], Operations: ['26+40=66'] Exploring Operation: 66/22=3, Resulting Numbers: [27, 3] Generated Node #3: [27, 3] from Operation: 66/22=3 Current State: 81:[27, 3], Operations: ['26+40=66', '66/22=3'] Exploring Operation: 27*3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 8, 34, 66, 57 ]
81
[ "8+34=42", "66+57=123", "123-42=81" ]
Current State: 81:[8, 34, 66, 57], Operations: [] Exploring Operation: 8+34=42, Resulting Numbers: [66, 57, 42] Generated Node #2: [66, 57, 42] from Operation: 8+34=42 Current State: 81:[66, 57, 42], Operations: ['8+34=42'] Exploring Operation: 66+57=123, Resulting Numbers: [42, 123] Generated Node #3: [42, 123] from Operation: 66+57=123 Current State: 81:[42, 123], Operations: ['8+34=42', '66+57=123'] Exploring Operation: 123-42=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 57, 40, 8, 77 ]
10
[ "77-57=20", "40/20=2", "8+2=10" ]
Current State: 10:[57, 40, 8, 77], Operations: [] Exploring Operation: 77-57=20, Resulting Numbers: [40, 8, 20] Generated Node #2: [40, 8, 20] from Operation: 77-57=20 Current State: 10:[40, 8, 20], Operations: ['77-57=20'] Exploring Operation: 40/20=2, Resulting Numbers: [8, 2] Generated Node #3: [8, 2] from Operation: 40/20=2 Current State: 10:[8, 2], Operations: ['77-57=20', '40/20=2'] Exploring Operation: 8+2=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 73, 55, 84, 46 ]
90
[ "73+55=128", "84-46=38", "128-38=90" ]
Current State: 90:[73, 55, 84, 46], Operations: [] Exploring Operation: 73+55=128, Resulting Numbers: [84, 46, 128] Generated Node #2: [84, 46, 128] from Operation: 73+55=128 Current State: 90:[84, 46, 128], Operations: ['73+55=128'] Exploring Operation: 84-46=38, Resulting Numbers: [128, 38] Generated Node #3: [128, 38] from Operation: 84-46=38 Current State: 90:[128, 38], Operations: ['73+55=128', '84-46=38'] Exploring Operation: 128-38=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 6, 41, 45, 47 ]
71
[ "45-41=4", "6*4=24", "47+24=71" ]
Current State: 71:[6, 41, 45, 47], Operations: [] Exploring Operation: 45-41=4, Resulting Numbers: [6, 47, 4] Generated Node #2: [6, 47, 4] from Operation: 45-41=4 Current State: 71:[6, 47, 4], Operations: ['45-41=4'] Exploring Operation: 6*4=24, Resulting Numbers: [47, 24] Generated Node #3: [47, 24] from Operation: 6*4=24 Current State: 71:[47, 24], Operations: ['45-41=4', '6*4=24'] Exploring Operation: 47+24=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 15, 20, 85, 43 ]
26
[ "20-15=5", "85/5=17", "43-17=26" ]
Current State: 26:[15, 20, 85, 43], Operations: [] Exploring Operation: 20-15=5, Resulting Numbers: [85, 43, 5] Generated Node #2: [85, 43, 5] from Operation: 20-15=5 Current State: 26:[85, 43, 5], Operations: ['20-15=5'] Exploring Operation: 85/5=17, Resulting Numbers: [43, 17] Generated Node #3: [43, 17] from Operation: 85/5=17 Current State: 26:[43, 17], Operations: ['20-15=5', '85/5=17'] Exploring Operation: 43-17=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 2, 24, 39, 59 ]
25
[ "39+59=98", "98/2=49", "49-24=25" ]
Current State: 25:[2, 24, 39, 59], Operations: [] Exploring Operation: 39+59=98, Resulting Numbers: [2, 24, 98] Generated Node #2: [2, 24, 98] from Operation: 39+59=98 Current State: 25:[2, 24, 98], Operations: ['39+59=98'] Exploring Operation: 98/2=49, Resulting Numbers: [24, 49] Generated Node #3: [24, 49] from Operation: 98/2=49 Current State: 25:[24, 49], Operations: ['39+59=98', '98/2=49'] Exploring Operation: 49-24=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 6, 32, 44, 20 ]
50
[ "32-6=26", "44-20=24", "26+24=50" ]
Current State: 50:[6, 32, 44, 20], Operations: [] Exploring Operation: 32-6=26, Resulting Numbers: [44, 20, 26] Generated Node #2: [44, 20, 26] from Operation: 32-6=26 Current State: 50:[44, 20, 26], Operations: ['32-6=26'] Exploring Operation: 44-20=24, Resulting Numbers: [26, 24] Generated Node #3: [26, 24] from Operation: 44-20=24 Current State: 50:[26, 24], Operations: ['32-6=26', '44-20=24'] Exploring Operation: 26+24=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 35, 28, 8, 68 ]
69
[ "35-28=7", "8+68=76", "76-7=69" ]
Current State: 69:[35, 28, 8, 68], Operations: [] Exploring Operation: 35-28=7, Resulting Numbers: [8, 68, 7] Generated Node #2: [8, 68, 7] from Operation: 35-28=7 Current State: 69:[8, 68, 7], Operations: ['35-28=7'] Exploring Operation: 8+68=76, Resulting Numbers: [7, 76] Generated Node #3: [7, 76] from Operation: 8+68=76 Current State: 69:[7, 76], Operations: ['35-28=7', '8+68=76'] Exploring Operation: 76-7=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 11, 71, 3, 4 ]
75
[ "11+71=82", "3+4=7", "82-7=75" ]
Current State: 75:[11, 71, 3, 4], Operations: [] Exploring Operation: 11+71=82, Resulting Numbers: [3, 4, 82] Generated Node #2: [3, 4, 82] from Operation: 11+71=82 Current State: 75:[3, 4, 82], Operations: ['11+71=82'] Exploring Operation: 3+4=7, Resulting Numbers: [82, 7] Generated Node #3: [82, 7] from Operation: 3+4=7 Current State: 75:[82, 7], Operations: ['11+71=82', '3+4=7'] Exploring Operation: 82-7=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 87, 25, 71, 16 ]
93
[ "25+71=96", "96/16=6", "87+6=93" ]
Current State: 93:[87, 25, 71, 16], Operations: [] Exploring Operation: 25+71=96, Resulting Numbers: [87, 16, 96] Generated Node #2: [87, 16, 96] from Operation: 25+71=96 Current State: 93:[87, 16, 96], Operations: ['25+71=96'] Exploring Operation: 96/16=6, Resulting Numbers: [87, 6] Generated Node #3: [87, 6] from Operation: 96/16=6 Current State: 93:[87, 6], Operations: ['25+71=96', '96/16=6'] Exploring Operation: 87+6=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 74, 39, 54, 76 ]
56
[ "76-39=37", "74/37=2", "54+2=56" ]
Current State: 56:[74, 39, 54, 76], Operations: [] Exploring Operation: 76-39=37, Resulting Numbers: [74, 54, 37] Generated Node #2: [74, 54, 37] from Operation: 76-39=37 Current State: 56:[74, 54, 37], Operations: ['76-39=37'] Exploring Operation: 74/37=2, Resulting Numbers: [54, 2] Generated Node #3: [54, 2] from Operation: 74/37=2 Current State: 56:[54, 2], Operations: ['76-39=37', '74/37=2'] Exploring Operation: 54+2=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 28, 10, 14, 30 ]
48
[ "30-28=2", "10+14=24", "2*24=48" ]
Current State: 48:[28, 10, 14, 30], Operations: [] Exploring Operation: 30-28=2, Resulting Numbers: [10, 14, 2] Generated Node #2: [10, 14, 2] from Operation: 30-28=2 Current State: 48:[10, 14, 2], Operations: ['30-28=2'] Exploring Operation: 10+14=24, Resulting Numbers: [2, 24] Generated Node #3: [2, 24] from Operation: 10+14=24 Current State: 48:[2, 24], Operations: ['30-28=2', '10+14=24'] Exploring Operation: 2*24=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 55, 85, 43, 32 ]
17
[ "43-32=11", "55/11=5", "85/5=17" ]
Current State: 17:[55, 85, 43, 32], Operations: [] Exploring Operation: 43-32=11, Resulting Numbers: [55, 85, 11] Generated Node #2: [55, 85, 11] from Operation: 43-32=11 Current State: 17:[55, 85, 11], Operations: ['43-32=11'] Exploring Operation: 55/11=5, Resulting Numbers: [85, 5] Generated Node #3: [85, 5] from Operation: 55/11=5 Current State: 17:[85, 5], Operations: ['43-32=11', '55/11=5'] Exploring Operation: 85/5=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 43, 80, 16, 12 ]
36
[ "43-12=31", "80/16=5", "31+5=36" ]
Current State: 36:[43, 80, 16, 12], Operations: [] Exploring Operation: 43-12=31, Resulting Numbers: [80, 16, 31] Generated Node #2: [80, 16, 31] from Operation: 43-12=31 Current State: 36:[80, 16, 31], Operations: ['43-12=31'] Exploring Operation: 80/16=5, Resulting Numbers: [31, 5] Generated Node #3: [31, 5] from Operation: 80/16=5 Current State: 36:[31, 5], Operations: ['43-12=31', '80/16=5'] Exploring Operation: 31+5=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 28, 1, 51, 2 ]
54
[ "1+51=52", "52/2=26", "28+26=54" ]
Current State: 54:[28, 1, 51, 2], Operations: [] Exploring Operation: 1+51=52, Resulting Numbers: [28, 2, 52] Generated Node #2: [28, 2, 52] from Operation: 1+51=52 Current State: 54:[28, 2, 52], Operations: ['1+51=52'] Exploring Operation: 52/2=26, Resulting Numbers: [28, 26] Generated Node #3: [28, 26] from Operation: 52/2=26 Current State: 54:[28, 26], Operations: ['1+51=52', '52/2=26'] Exploring Operation: 28+26=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 95, 89, 70, 95 ]
90
[ "89-70=19", "95/19=5", "95-5=90" ]
Current State: 90:[95, 89, 70, 95], Operations: [] Exploring Operation: 89-70=19, Resulting Numbers: [95, 95, 19] Generated Node #2: [95, 95, 19] from Operation: 89-70=19 Current State: 90:[95, 95, 19], Operations: ['89-70=19'] Exploring Operation: 95/19=5, Resulting Numbers: [5] 5,90 equal: Goal Reached Exploring Operation: 95-5=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 75, 3, 72, 9 ]
70
[ "75+3=78", "72/9=8", "78-8=70" ]
Current State: 70:[75, 3, 72, 9], Operations: [] Exploring Operation: 75+3=78, Resulting Numbers: [72, 9, 78] Generated Node #2: [72, 9, 78] from Operation: 75+3=78 Current State: 70:[72, 9, 78], Operations: ['75+3=78'] Exploring Operation: 72/9=8, Resulting Numbers: [78, 8] Generated Node #3: [78, 8] from Operation: 72/9=8 Current State: 70:[78, 8], Operations: ['75+3=78', '72/9=8'] Exploring Operation: 78-8=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 14, 29, 73, 8 ]
24
[ "14+73=87", "87/29=3", "8*3=24" ]
Current State: 24:[14, 29, 73, 8], Operations: [] Exploring Operation: 14+73=87, Resulting Numbers: [29, 8, 87] Generated Node #2: [29, 8, 87] from Operation: 14+73=87 Current State: 24:[29, 8, 87], Operations: ['14+73=87'] Exploring Operation: 87/29=3, Resulting Numbers: [8, 3] Generated Node #3: [8, 3] from Operation: 87/29=3 Current State: 24:[8, 3], Operations: ['14+73=87', '87/29=3'] Exploring Operation: 8*3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 10, 13, 6, 10 ]
58
[ "10+10=20", "13*6=78", "78-20=58" ]
Current State: 58:[10, 13, 6, 10], Operations: [] Exploring Operation: 10+10=20, Resulting Numbers: [13, 6, 20] Generated Node #2: [13, 6, 20] from Operation: 10+10=20 Current State: 58:[13, 6, 20], Operations: ['10+10=20'] Exploring Operation: 13*6=78, Resulting Numbers: [20, 78] Generated Node #3: [20, 78] from Operation: 13*6=78 Current State: 58:[20, 78], Operations: ['10+10=20', '13*6=78'] Exploring Operation: 78-20=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 82, 7, 93, 64 ]
68
[ "82+7=89", "93+64=157", "157-89=68" ]
Current State: 68:[82, 7, 93, 64], Operations: [] Exploring Operation: 82+7=89, Resulting Numbers: [93, 64, 89] Generated Node #2: [93, 64, 89] from Operation: 82+7=89 Current State: 68:[93, 64, 89], Operations: ['82+7=89'] Exploring Operation: 93+64=157, Resulting Numbers: [89, 157] Generated Node #3: [89, 157] from Operation: 93+64=157 Current State: 68:[89, 157], Operations: ['82+7=89', '93+64=157'] Exploring Operation: 157-89=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 82, 12, 12, 98 ]
40
[ "82-12=70", "12+98=110", "110-70=40" ]
Current State: 40:[82, 12, 12, 98], Operations: [] Exploring Operation: 82-12=70, Resulting Numbers: [98, 70] Generated Node #2: [98, 70] from Operation: 82-12=70 Current State: 40:[98, 70], Operations: ['82-12=70'] Exploring Operation: 12+98=110, Resulting Numbers: [70, 110] Generated Node #3: [70, 110] from Operation: 12+98=110 Current State: 40:[70, 110], Operations: ['82-12=70', '12+98=110'] Exploring Operation: 110-70=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 24, 30, 4, 64 ]
96
[ "30-24=6", "64/4=16", "6*16=96" ]
Current State: 96:[24, 30, 4, 64], Operations: [] Exploring Operation: 30-24=6, Resulting Numbers: [4, 64, 6] Generated Node #2: [4, 64, 6] from Operation: 30-24=6 Current State: 96:[4, 64, 6], Operations: ['30-24=6'] Exploring Operation: 64/4=16, Resulting Numbers: [6, 16] Generated Node #3: [6, 16] from Operation: 64/4=16 Current State: 96:[6, 16], Operations: ['30-24=6', '64/4=16'] Exploring Operation: 6*16=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 68, 85, 98, 14 ]
10
[ "85-68=17", "98/14=7", "17-7=10" ]
Current State: 10:[68, 85, 98, 14], Operations: [] Exploring Operation: 85-68=17, Resulting Numbers: [98, 14, 17] Generated Node #2: [98, 14, 17] from Operation: 85-68=17 Current State: 10:[98, 14, 17], Operations: ['85-68=17'] Exploring Operation: 98/14=7, Resulting Numbers: [17, 7] Generated Node #3: [17, 7] from Operation: 98/14=7 Current State: 10:[17, 7], Operations: ['85-68=17', '98/14=7'] Exploring Operation: 17-7=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 67, 47, 74, 74 ]
19
[ "67-47=20", "74/74=1", "20-1=19" ]
Current State: 19:[67, 47, 74, 74], Operations: [] Exploring Operation: 67-47=20, Resulting Numbers: [74, 74, 20] Generated Node #2: [74, 74, 20] from Operation: 67-47=20 Current State: 19:[74, 74, 20], Operations: ['67-47=20'] Exploring Operation: 74/74=1, Resulting Numbers: [20, 1] Generated Node #3: [20, 1] from Operation: 74/74=1 Current State: 19:[20, 1], Operations: ['67-47=20', '74/74=1'] Exploring Operation: 20-1=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 58, 62, 10, 28 ]
49
[ "62+28=90", "90/10=9", "58-9=49" ]
Current State: 49:[58, 62, 10, 28], Operations: [] Exploring Operation: 62+28=90, Resulting Numbers: [58, 10, 90] Generated Node #2: [58, 10, 90] from Operation: 62+28=90 Current State: 49:[58, 10, 90], Operations: ['62+28=90'] Exploring Operation: 90/10=9, Resulting Numbers: [58, 9] Generated Node #3: [58, 9] from Operation: 90/10=9 Current State: 49:[58, 9], Operations: ['62+28=90', '90/10=9'] Exploring Operation: 58-9=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 77, 61, 28, 3 ]
76
[ "77-61=16", "3*16=48", "28+48=76" ]
Current State: 76:[77, 61, 28, 3], Operations: [] Exploring Operation: 77-61=16, Resulting Numbers: [28, 3, 16] Generated Node #2: [28, 3, 16] from Operation: 77-61=16 Current State: 76:[28, 3, 16], Operations: ['77-61=16'] Exploring Operation: 3*16=48, Resulting Numbers: [28, 48] Generated Node #3: [28, 48] from Operation: 3*16=48 Current State: 76:[28, 48], Operations: ['77-61=16', '3*16=48'] Exploring Operation: 28+48=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 11, 97, 31, 90 ]
48
[ "97+90=187", "187/11=17", "31+17=48" ]
Current State: 48:[11, 97, 31, 90], Operations: [] Exploring Operation: 97+90=187, Resulting Numbers: [11, 31, 187] Generated Node #2: [11, 31, 187] from Operation: 97+90=187 Current State: 48:[11, 31, 187], Operations: ['97+90=187'] Exploring Operation: 187/11=17, Resulting Numbers: [31, 17] Generated Node #3: [31, 17] from Operation: 187/11=17 Current State: 48:[31, 17], Operations: ['97+90=187', '187/11=17'] Exploring Operation: 31+17=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 34, 12, 87, 5 ]
85
[ "12+5=17", "34/17=2", "87-2=85" ]
Current State: 85:[34, 12, 87, 5], Operations: [] Exploring Operation: 12+5=17, Resulting Numbers: [34, 87, 17] Generated Node #2: [34, 87, 17] from Operation: 12+5=17 Current State: 85:[34, 87, 17], Operations: ['12+5=17'] Exploring Operation: 34/17=2, Resulting Numbers: [87, 2] Generated Node #3: [87, 2] from Operation: 34/17=2 Current State: 85:[87, 2], Operations: ['12+5=17', '34/17=2'] Exploring Operation: 87-2=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 8, 73, 77, 68 ]
74
[ "73-8=65", "77-68=9", "65+9=74" ]
Current State: 74:[8, 73, 77, 68], Operations: [] Exploring Operation: 73-8=65, Resulting Numbers: [77, 68, 65] Generated Node #2: [77, 68, 65] from Operation: 73-8=65 Current State: 74:[77, 68, 65], Operations: ['73-8=65'] Exploring Operation: 77-68=9, Resulting Numbers: [65, 9] Generated Node #3: [65, 9] from Operation: 77-68=9 Current State: 74:[65, 9], Operations: ['73-8=65', '77-68=9'] Exploring Operation: 65+9=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 68, 6, 18, 81 ]
11
[ "68+6=74", "81-18=63", "74-63=11" ]
Current State: 11:[68, 6, 18, 81], Operations: [] Exploring Operation: 68+6=74, Resulting Numbers: [18, 81, 74] Generated Node #2: [18, 81, 74] from Operation: 68+6=74 Current State: 11:[18, 81, 74], Operations: ['68+6=74'] Exploring Operation: 81-18=63, Resulting Numbers: [74, 63] Generated Node #3: [74, 63] from Operation: 81-18=63 Current State: 11:[74, 63], Operations: ['68+6=74', '81-18=63'] Exploring Operation: 74-63=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 77, 59, 16, 5 ]
73
[ "59+5=64", "64/16=4", "77-4=73" ]
Current State: 73:[77, 59, 16, 5], Operations: [] Exploring Operation: 59+5=64, Resulting Numbers: [77, 16, 64] Generated Node #2: [77, 16, 64] from Operation: 59+5=64 Current State: 73:[77, 16, 64], Operations: ['59+5=64'] Exploring Operation: 64/16=4, Resulting Numbers: [77, 4] Generated Node #3: [77, 4] from Operation: 64/16=4 Current State: 73:[77, 4], Operations: ['59+5=64', '64/16=4'] Exploring Operation: 77-4=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 31, 3, 8, 67 ]
12
[ "67-31=36", "3*8=24", "36-24=12" ]
Current State: 12:[31, 3, 8, 67], Operations: [] Exploring Operation: 67-31=36, Resulting Numbers: [3, 8, 36] Generated Node #2: [3, 8, 36] from Operation: 67-31=36 Current State: 12:[3, 8, 36], Operations: ['67-31=36'] Exploring Operation: 3*8=24, Resulting Numbers: [36, 24] Generated Node #3: [36, 24] from Operation: 3*8=24 Current State: 12:[36, 24], Operations: ['67-31=36', '3*8=24'] Exploring Operation: 36-24=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 22, 3, 80, 36 ]
97
[ "22-3=19", "80+36=116", "116-19=97" ]
Current State: 97:[22, 3, 80, 36], Operations: [] Exploring Operation: 22-3=19, Resulting Numbers: [80, 36, 19] Generated Node #2: [80, 36, 19] from Operation: 22-3=19 Current State: 97:[80, 36, 19], Operations: ['22-3=19'] Exploring Operation: 80+36=116, Resulting Numbers: [19, 116] Generated Node #3: [19, 116] from Operation: 80+36=116 Current State: 97:[19, 116], Operations: ['22-3=19', '80+36=116'] Exploring Operation: 116-19=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 32, 83, 2, 3 ]
93
[ "32-2=30", "30/3=10", "83+10=93" ]
Current State: 93:[32, 83, 2, 3], Operations: [] Exploring Operation: 32-2=30, Resulting Numbers: [83, 3, 30] Generated Node #2: [83, 3, 30] from Operation: 32-2=30 Current State: 93:[83, 3, 30], Operations: ['32-2=30'] Exploring Operation: 30/3=10, Resulting Numbers: [83, 10] Generated Node #3: [83, 10] from Operation: 30/3=10 Current State: 93:[83, 10], Operations: ['32-2=30', '30/3=10'] Exploring Operation: 83+10=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 10, 4, 48, 86 ]
31
[ "48-10=38", "86+38=124", "124/4=31" ]
Current State: 31:[10, 4, 48, 86], Operations: [] Exploring Operation: 48-10=38, Resulting Numbers: [4, 86, 38] Generated Node #2: [4, 86, 38] from Operation: 48-10=38 Current State: 31:[4, 86, 38], Operations: ['48-10=38'] Exploring Operation: 86+38=124, Resulting Numbers: [4, 124] Generated Node #3: [4, 124] from Operation: 86+38=124 Current State: 31:[4, 124], Operations: ['48-10=38', '86+38=124'] Exploring Operation: 124/4=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 13, 96, 99, 26 ]
17
[ "96+99=195", "26+195=221", "221/13=17" ]
Current State: 17:[13, 96, 99, 26], Operations: [] Exploring Operation: 96+99=195, Resulting Numbers: [13, 26, 195] Generated Node #2: [13, 26, 195] from Operation: 96+99=195 Current State: 17:[13, 26, 195], Operations: ['96+99=195'] Exploring Operation: 26+195=221, Resulting Numbers: [13, 221] Generated Node #3: [13, 221] from Operation: 26+195=221 Current State: 17:[13, 221], Operations: ['96+99=195', '26+195=221'] Exploring Operation: 221/13=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 82, 88, 7, 51 ]
52
[ "88-82=6", "7+51=58", "58-6=52" ]
Current State: 52:[82, 88, 7, 51], Operations: [] Exploring Operation: 88-82=6, Resulting Numbers: [7, 51, 6] Generated Node #2: [7, 51, 6] from Operation: 88-82=6 Current State: 52:[7, 51, 6], Operations: ['88-82=6'] Exploring Operation: 7+51=58, Resulting Numbers: [6, 58] Generated Node #3: [6, 58] from Operation: 7+51=58 Current State: 52:[6, 58], Operations: ['88-82=6', '7+51=58'] Exploring Operation: 58-6=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 15, 43, 67, 42 ]
83
[ "15+43=58", "67-42=25", "58+25=83" ]
Current State: 83:[15, 43, 67, 42], Operations: [] Exploring Operation: 15+43=58, Resulting Numbers: [67, 42, 58] Generated Node #2: [67, 42, 58] from Operation: 15+43=58 Current State: 83:[67, 42, 58], Operations: ['15+43=58'] Exploring Operation: 67-42=25, Resulting Numbers: [58, 25] Generated Node #3: [58, 25] from Operation: 67-42=25 Current State: 83:[58, 25], Operations: ['15+43=58', '67-42=25'] Exploring Operation: 58+25=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 23, 49, 44, 19 ]
81
[ "23*44=1012", "49*19=931", "1012-931=81" ]
Current State: 81:[23, 49, 44, 19], Operations: [] Exploring Operation: 23*44=1012, Resulting Numbers: [49, 19, 1012] Generated Node #2: [49, 19, 1012] from Operation: 23*44=1012 Current State: 81:[49, 19, 1012], Operations: ['23*44=1012'] Exploring Operation: 49*19=931, Resulting Numbers: [1012, 931] Generated Node #3: [1012, 931] from Operation: 49*19=931 Current State: 81:[1012, 931], Operations: ['23*44=1012', '49*19=931'] Exploring Operation: 1012-931=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 1, 45, 2, 3 ]
23
[ "45+3=48", "48/2=24", "24-1=23" ]
Current State: 23:[1, 45, 2, 3], Operations: [] Exploring Operation: 45+3=48, Resulting Numbers: [1, 2, 48] Generated Node #2: [1, 2, 48] from Operation: 45+3=48 Current State: 23:[1, 2, 48], Operations: ['45+3=48'] Exploring Operation: 48/2=24, Resulting Numbers: [1, 24] Generated Node #3: [1, 24] from Operation: 48/2=24 Current State: 23:[1, 24], Operations: ['45+3=48', '48/2=24'] Exploring Operation: 24-1=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 67, 67, 36, 23 ]
75
[ "67+67=134", "36+23=59", "134-59=75" ]
Current State: 75:[67, 67, 36, 23], Operations: [] Exploring Operation: 67+67=134, Resulting Numbers: [36, 23, 134] Generated Node #2: [36, 23, 134] from Operation: 67+67=134 Current State: 75:[36, 23, 134], Operations: ['67+67=134'] Exploring Operation: 36+23=59, Resulting Numbers: [134, 59] Generated Node #3: [134, 59] from Operation: 36+23=59 Current State: 75:[134, 59], Operations: ['67+67=134', '36+23=59'] Exploring Operation: 134-59=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 10, 51, 51, 69 ]
78
[ "10+69=79", "51/51=1", "79-1=78" ]
Current State: 78:[10, 51, 51, 69], Operations: [] Exploring Operation: 10+69=79, Resulting Numbers: [51, 51, 79] Generated Node #2: [51, 51, 79] from Operation: 10+69=79 Current State: 78:[51, 51, 79], Operations: ['10+69=79'] Exploring Operation: 51/51=1, Resulting Numbers: [79, 1] Generated Node #3: [79, 1] from Operation: 51/51=1 Current State: 78:[79, 1], Operations: ['10+69=79', '51/51=1'] Exploring Operation: 79-1=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 36, 85, 6, 78 ]
35
[ "85-36=49", "6+78=84", "84-49=35" ]
Current State: 35:[36, 85, 6, 78], Operations: [] Exploring Operation: 85-36=49, Resulting Numbers: [6, 78, 49] Generated Node #2: [6, 78, 49] from Operation: 85-36=49 Current State: 35:[6, 78, 49], Operations: ['85-36=49'] Exploring Operation: 6+78=84, Resulting Numbers: [49, 84] Generated Node #3: [49, 84] from Operation: 6+78=84 Current State: 35:[49, 84], Operations: ['85-36=49', '6+78=84'] Exploring Operation: 84-49=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 43, 42, 42, 23 ]
21
[ "43-23=20", "42/42=1", "20+1=21" ]
Current State: 21:[43, 42, 42, 23], Operations: [] Exploring Operation: 43-23=20, Resulting Numbers: [42, 42, 20] Generated Node #2: [42, 42, 20] from Operation: 43-23=20 Current State: 21:[42, 42, 20], Operations: ['43-23=20'] Exploring Operation: 42/42=1, Resulting Numbers: [20, 1] Generated Node #3: [20, 1] from Operation: 42/42=1 Current State: 21:[20, 1], Operations: ['43-23=20', '42/42=1'] Exploring Operation: 20+1=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 87, 85, 66, 14 ]
59
[ "87-85=2", "14/2=7", "66-7=59" ]
Current State: 59:[87, 85, 66, 14], Operations: [] Exploring Operation: 87-85=2, Resulting Numbers: [66, 14, 2] Generated Node #2: [66, 14, 2] from Operation: 87-85=2 Current State: 59:[66, 14, 2], Operations: ['87-85=2'] Exploring Operation: 14/2=7, Resulting Numbers: [66, 7] Generated Node #3: [66, 7] from Operation: 14/2=7 Current State: 59:[66, 7], Operations: ['87-85=2', '14/2=7'] Exploring Operation: 66-7=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 32, 59, 10, 89 ]
72
[ "59-32=27", "10+89=99", "99-27=72" ]
Current State: 72:[32, 59, 10, 89], Operations: [] Exploring Operation: 59-32=27, Resulting Numbers: [10, 89, 27] Generated Node #2: [10, 89, 27] from Operation: 59-32=27 Current State: 72:[10, 89, 27], Operations: ['59-32=27'] Exploring Operation: 10+89=99, Resulting Numbers: [27, 99] Generated Node #3: [27, 99] from Operation: 10+89=99 Current State: 72:[27, 99], Operations: ['59-32=27', '10+89=99'] Exploring Operation: 99-27=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 55, 22, 80, 11 ]
75
[ "22-11=11", "55/11=5", "80-5=75" ]
Current State: 75:[55, 22, 80, 11], Operations: [] Exploring Operation: 22-11=11, Resulting Numbers: [55, 80, 11] Generated Node #2: [55, 80, 11] from Operation: 22-11=11 Current State: 75:[55, 80, 11], Operations: ['22-11=11'] Exploring Operation: 55/11=5, Resulting Numbers: [80, 5] Generated Node #3: [80, 5] from Operation: 55/11=5 Current State: 75:[80, 5], Operations: ['22-11=11', '55/11=5'] Exploring Operation: 80-5=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 6, 4, 39, 23 ]
85
[ "6-4=2", "23*2=46", "39+46=85" ]
Current State: 85:[6, 4, 39, 23], Operations: [] Exploring Operation: 6-4=2, Resulting Numbers: [39, 23, 2] Generated Node #2: [39, 23, 2] from Operation: 6-4=2 Current State: 85:[39, 23, 2], Operations: ['6-4=2'] Exploring Operation: 23*2=46, Resulting Numbers: [39, 46] Generated Node #3: [39, 46] from Operation: 23*2=46 Current State: 85:[39, 46], Operations: ['6-4=2', '23*2=46'] Exploring Operation: 39+46=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 42, 5, 11, 21 ]
32
[ "42/21=2", "5+11=16", "2*16=32" ]
Current State: 32:[42, 5, 11, 21], Operations: [] Exploring Operation: 42/21=2, Resulting Numbers: [5, 11, 2] Generated Node #2: [5, 11, 2] from Operation: 42/21=2 Current State: 32:[5, 11, 2], Operations: ['42/21=2'] Exploring Operation: 5+11=16, Resulting Numbers: [2, 16] Generated Node #3: [2, 16] from Operation: 5+11=16 Current State: 32:[2, 16], Operations: ['42/21=2', '5+11=16'] Exploring Operation: 2*16=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 28, 75, 20, 24 ]
59
[ "28+75=103", "20+24=44", "103-44=59" ]
Current State: 59:[28, 75, 20, 24], Operations: [] Exploring Operation: 28+75=103, Resulting Numbers: [20, 24, 103] Generated Node #2: [20, 24, 103] from Operation: 28+75=103 Current State: 59:[20, 24, 103], Operations: ['28+75=103'] Exploring Operation: 20+24=44, Resulting Numbers: [103, 44] Generated Node #3: [103, 44] from Operation: 20+24=44 Current State: 59:[103, 44], Operations: ['28+75=103', '20+24=44'] Exploring Operation: 103-44=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 82, 38, 71, 2 ]
25
[ "82-38=44", "71-2=69", "69-44=25" ]
Current State: 25:[82, 38, 71, 2], Operations: [] Exploring Operation: 82-38=44, Resulting Numbers: [71, 2, 44] Generated Node #2: [71, 2, 44] from Operation: 82-38=44 Current State: 25:[71, 2, 44], Operations: ['82-38=44'] Exploring Operation: 71-2=69, Resulting Numbers: [44, 69] Generated Node #3: [44, 69] from Operation: 71-2=69 Current State: 25:[44, 69], Operations: ['82-38=44', '71-2=69'] Exploring Operation: 69-44=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 6, 79, 12, 7 ]
54
[ "79-6=73", "12+7=19", "73-19=54" ]
Current State: 54:[6, 79, 12, 7], Operations: [] Exploring Operation: 79-6=73, Resulting Numbers: [12, 7, 73] Generated Node #2: [12, 7, 73] from Operation: 79-6=73 Current State: 54:[12, 7, 73], Operations: ['79-6=73'] Exploring Operation: 12+7=19, Resulting Numbers: [73, 19] Generated Node #3: [73, 19] from Operation: 12+7=19 Current State: 54:[73, 19], Operations: ['79-6=73', '12+7=19'] Exploring Operation: 73-19=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 6, 30, 12, 9 ]
11
[ "30-6=24", "24/12=2", "9+2=11" ]
Current State: 11:[6, 30, 12, 9], Operations: [] Exploring Operation: 30-6=24, Resulting Numbers: [12, 9, 24] Generated Node #2: [12, 9, 24] from Operation: 30-6=24 Current State: 11:[12, 9, 24], Operations: ['30-6=24'] Exploring Operation: 24/12=2, Resulting Numbers: [9, 2] Generated Node #3: [9, 2] from Operation: 24/12=2 Current State: 11:[9, 2], Operations: ['30-6=24', '24/12=2'] Exploring Operation: 9+2=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 65, 62, 97, 81 ]
60
[ "65+97=162", "162/81=2", "62-2=60" ]
Current State: 60:[65, 62, 97, 81], Operations: [] Exploring Operation: 65+97=162, Resulting Numbers: [62, 81, 162] Generated Node #2: [62, 81, 162] from Operation: 65+97=162 Current State: 60:[62, 81, 162], Operations: ['65+97=162'] Exploring Operation: 162/81=2, Resulting Numbers: [62, 2] Generated Node #3: [62, 2] from Operation: 162/81=2 Current State: 60:[62, 2], Operations: ['65+97=162', '162/81=2'] Exploring Operation: 62-2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 27, 68, 82, 88 ]
94
[ "88-82=6", "27*6=162", "162-68=94" ]
Current State: 94:[27, 68, 82, 88], Operations: [] Exploring Operation: 88-82=6, Resulting Numbers: [27, 68, 6] Generated Node #2: [27, 68, 6] from Operation: 88-82=6 Current State: 94:[27, 68, 6], Operations: ['88-82=6'] Exploring Operation: 27*6=162, Resulting Numbers: [68, 162] Generated Node #3: [68, 162] from Operation: 27*6=162 Current State: 94:[68, 162], Operations: ['88-82=6', '27*6=162'] Exploring Operation: 162-68=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 84, 42, 7, 68 ]
41
[ "84/42=2", "68/2=34", "7+34=41" ]
Current State: 41:[84, 42, 7, 68], Operations: [] Exploring Operation: 84/42=2, Resulting Numbers: [7, 68, 2] Generated Node #2: [7, 68, 2] from Operation: 84/42=2 Current State: 41:[7, 68, 2], Operations: ['84/42=2'] Exploring Operation: 68/2=34, Resulting Numbers: [7, 34] Generated Node #3: [7, 34] from Operation: 68/2=34 Current State: 41:[7, 34], Operations: ['84/42=2', '68/2=34'] Exploring Operation: 7+34=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 75, 15, 84, 17 ]
72
[ "75/15=5", "84-17=67", "5+67=72" ]
Current State: 72:[75, 15, 84, 17], Operations: [] Exploring Operation: 75/15=5, Resulting Numbers: [84, 17, 5] Generated Node #2: [84, 17, 5] from Operation: 75/15=5 Current State: 72:[84, 17, 5], Operations: ['75/15=5'] Exploring Operation: 84-17=67, Resulting Numbers: [5, 67] Generated Node #3: [5, 67] from Operation: 84-17=67 Current State: 72:[5, 67], Operations: ['75/15=5', '84-17=67'] Exploring Operation: 5+67=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 23, 88, 65, 40 ]
90
[ "88-23=65", "65-40=25", "65+25=90" ]
Current State: 90:[23, 88, 65, 40], Operations: [] Exploring Operation: 88-23=65, Resulting Numbers: [65, 40, 65] Generated Node #2: [65, 40, 65] from Operation: 88-23=65 Current State: 90:[65, 40, 65], Operations: ['88-23=65'] Exploring Operation: 65-40=25, Resulting Numbers: [25] 25,90 equal: Goal Reached Exploring Operation: 65+25=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 23, 7, 26, 83 ]
79
[ "23+7=30", "26+83=109", "109-30=79" ]
Current State: 79:[23, 7, 26, 83], Operations: [] Exploring Operation: 23+7=30, Resulting Numbers: [26, 83, 30] Generated Node #2: [26, 83, 30] from Operation: 23+7=30 Current State: 79:[26, 83, 30], Operations: ['23+7=30'] Exploring Operation: 26+83=109, Resulting Numbers: [30, 109] Generated Node #3: [30, 109] from Operation: 26+83=109 Current State: 79:[30, 109], Operations: ['23+7=30', '26+83=109'] Exploring Operation: 109-30=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 27, 52, 59, 72 ]
31
[ "72-59=13", "52/13=4", "27+4=31" ]
Current State: 31:[27, 52, 59, 72], Operations: [] Exploring Operation: 72-59=13, Resulting Numbers: [27, 52, 13] Generated Node #2: [27, 52, 13] from Operation: 72-59=13 Current State: 31:[27, 52, 13], Operations: ['72-59=13'] Exploring Operation: 52/13=4, Resulting Numbers: [27, 4] Generated Node #3: [27, 4] from Operation: 52/13=4 Current State: 31:[27, 4], Operations: ['72-59=13', '52/13=4'] Exploring Operation: 27+4=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 77, 24, 51, 77 ]
79
[ "77-24=53", "77-51=26", "53+26=79" ]
Current State: 79:[77, 24, 51, 77], Operations: [] Exploring Operation: 77-24=53, Resulting Numbers: [51, 53] Generated Node #2: [51, 53] from Operation: 77-24=53 Current State: 79:[51, 53], Operations: ['77-24=53'] Exploring Operation: 77-51=26, Resulting Numbers: [53, 26] Generated Node #3: [53, 26] from Operation: 77-51=26 Current State: 79:[53, 26], Operations: ['77-24=53', '77-51=26'] Exploring Operation: 53+26=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 14, 90, 77, 97 ]
84
[ "14+90=104", "97-77=20", "104-20=84" ]
Current State: 84:[14, 90, 77, 97], Operations: [] Exploring Operation: 14+90=104, Resulting Numbers: [77, 97, 104] Generated Node #2: [77, 97, 104] from Operation: 14+90=104 Current State: 84:[77, 97, 104], Operations: ['14+90=104'] Exploring Operation: 97-77=20, Resulting Numbers: [104, 20] Generated Node #3: [104, 20] from Operation: 97-77=20 Current State: 84:[104, 20], Operations: ['14+90=104', '97-77=20'] Exploring Operation: 104-20=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 90, 48, 29, 6 ]
77
[ "90-48=42", "29+6=35", "42+35=77" ]
Current State: 77:[90, 48, 29, 6], Operations: [] Exploring Operation: 90-48=42, Resulting Numbers: [29, 6, 42] Generated Node #2: [29, 6, 42] from Operation: 90-48=42 Current State: 77:[29, 6, 42], Operations: ['90-48=42'] Exploring Operation: 29+6=35, Resulting Numbers: [42, 35] Generated Node #3: [42, 35] from Operation: 29+6=35 Current State: 77:[42, 35], Operations: ['90-48=42', '29+6=35'] Exploring Operation: 42+35=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 63, 26, 6, 34 ]
53
[ "26+34=60", "60/6=10", "63-10=53" ]
Current State: 53:[63, 26, 6, 34], Operations: [] Exploring Operation: 26+34=60, Resulting Numbers: [63, 6, 60] Generated Node #2: [63, 6, 60] from Operation: 26+34=60 Current State: 53:[63, 6, 60], Operations: ['26+34=60'] Exploring Operation: 60/6=10, Resulting Numbers: [63, 10] Generated Node #3: [63, 10] from Operation: 60/6=10 Current State: 53:[63, 10], Operations: ['26+34=60', '60/6=10'] Exploring Operation: 63-10=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 27, 55, 52, 80 ]
56
[ "55-27=28", "80-52=28", "28+28=56" ]
Current State: 56:[27, 55, 52, 80], Operations: [] Exploring Operation: 55-27=28, Resulting Numbers: [52, 80, 28] Generated Node #2: [52, 80, 28] from Operation: 55-27=28 Current State: 56:[52, 80, 28], Operations: ['55-27=28'] Exploring Operation: 80-52=28, Resulting Numbers: [28, 28] Generated Node #3: [28, 28] from Operation: 80-52=28 Current State: 56:[28, 28], Operations: ['55-27=28', '80-52=28'] Exploring Operation: 28+28=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 82, 80, 33, 15 ]
51
[ "82-80=2", "33*2=66", "66-15=51" ]
Current State: 51:[82, 80, 33, 15], Operations: [] Exploring Operation: 82-80=2, Resulting Numbers: [33, 15, 2] Generated Node #2: [33, 15, 2] from Operation: 82-80=2 Current State: 51:[33, 15, 2], Operations: ['82-80=2'] Exploring Operation: 33*2=66, Resulting Numbers: [15, 66] Generated Node #3: [15, 66] from Operation: 33*2=66 Current State: 51:[15, 66], Operations: ['82-80=2', '33*2=66'] Exploring Operation: 66-15=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 70, 14, 67, 11 ]
22
[ "70-14=56", "67+11=78", "78-56=22" ]
Current State: 22:[70, 14, 67, 11], Operations: [] Exploring Operation: 70-14=56, Resulting Numbers: [67, 11, 56] Generated Node #2: [67, 11, 56] from Operation: 70-14=56 Current State: 22:[67, 11, 56], Operations: ['70-14=56'] Exploring Operation: 67+11=78, Resulting Numbers: [56, 78] Generated Node #3: [56, 78] from Operation: 67+11=78 Current State: 22:[56, 78], Operations: ['70-14=56', '67+11=78'] Exploring Operation: 78-56=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 25, 74, 4, 41 ]
62
[ "25+74=99", "41-4=37", "99-37=62" ]
Current State: 62:[25, 74, 4, 41], Operations: [] Exploring Operation: 25+74=99, Resulting Numbers: [4, 41, 99] Generated Node #2: [4, 41, 99] from Operation: 25+74=99 Current State: 62:[4, 41, 99], Operations: ['25+74=99'] Exploring Operation: 41-4=37, Resulting Numbers: [99, 37] Generated Node #3: [99, 37] from Operation: 41-4=37 Current State: 62:[99, 37], Operations: ['25+74=99', '41-4=37'] Exploring Operation: 99-37=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 82, 47, 89, 34 ]
86
[ "47+89=136", "136/34=4", "82+4=86" ]
Current State: 86:[82, 47, 89, 34], Operations: [] Exploring Operation: 47+89=136, Resulting Numbers: [82, 34, 136] Generated Node #2: [82, 34, 136] from Operation: 47+89=136 Current State: 86:[82, 34, 136], Operations: ['47+89=136'] Exploring Operation: 136/34=4, Resulting Numbers: [82, 4] Generated Node #3: [82, 4] from Operation: 136/34=4 Current State: 86:[82, 4], Operations: ['47+89=136', '136/34=4'] Exploring Operation: 82+4=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 60, 32, 64, 80 ]
20
[ "64/32=2", "80/2=40", "60-40=20" ]
Current State: 20:[60, 32, 64, 80], Operations: [] Exploring Operation: 64/32=2, Resulting Numbers: [60, 80, 2] Generated Node #2: [60, 80, 2] from Operation: 64/32=2 Current State: 20:[60, 80, 2], Operations: ['64/32=2'] Exploring Operation: 80/2=40, Resulting Numbers: [60, 40] Generated Node #3: [60, 40] from Operation: 80/2=40 Current State: 20:[60, 40], Operations: ['64/32=2', '80/2=40'] Exploring Operation: 60-40=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 54, 2, 31, 18 ]
68
[ "54/18=3", "31+3=34", "2*34=68" ]
Current State: 68:[54, 2, 31, 18], Operations: [] Exploring Operation: 54/18=3, Resulting Numbers: [2, 31, 3] Generated Node #2: [2, 31, 3] from Operation: 54/18=3 Current State: 68:[2, 31, 3], Operations: ['54/18=3'] Exploring Operation: 31+3=34, Resulting Numbers: [2, 34] Generated Node #3: [2, 34] from Operation: 31+3=34 Current State: 68:[2, 34], Operations: ['54/18=3', '31+3=34'] Exploring Operation: 2*34=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 83, 2, 4, 18 ]
57
[ "83-18=65", "2*4=8", "65-8=57" ]
Current State: 57:[83, 2, 4, 18], Operations: [] Exploring Operation: 83-18=65, Resulting Numbers: [2, 4, 65] Generated Node #2: [2, 4, 65] from Operation: 83-18=65 Current State: 57:[2, 4, 65], Operations: ['83-18=65'] Exploring Operation: 2*4=8, Resulting Numbers: [65, 8] Generated Node #3: [65, 8] from Operation: 2*4=8 Current State: 57:[65, 8], Operations: ['83-18=65', '2*4=8'] Exploring Operation: 65-8=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 30, 67, 29, 6 ]
77
[ "30+67=97", "29*6=174", "174-97=77" ]
Current State: 77:[30, 67, 29, 6], Operations: [] Exploring Operation: 30+67=97, Resulting Numbers: [29, 6, 97] Generated Node #2: [29, 6, 97] from Operation: 30+67=97 Current State: 77:[29, 6, 97], Operations: ['30+67=97'] Exploring Operation: 29*6=174, Resulting Numbers: [97, 174] Generated Node #3: [97, 174] from Operation: 29*6=174 Current State: 77:[97, 174], Operations: ['30+67=97', '29*6=174'] Exploring Operation: 174-97=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 60, 2, 50, 28 ]
52
[ "60/2=30", "50-28=22", "30+22=52" ]
Current State: 52:[60, 2, 50, 28], Operations: [] Exploring Operation: 60/2=30, Resulting Numbers: [50, 28, 30] Generated Node #2: [50, 28, 30] from Operation: 60/2=30 Current State: 52:[50, 28, 30], Operations: ['60/2=30'] Exploring Operation: 50-28=22, Resulting Numbers: [30, 22] Generated Node #3: [30, 22] from Operation: 50-28=22 Current State: 52:[30, 22], Operations: ['60/2=30', '50-28=22'] Exploring Operation: 30+22=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 16, 11, 63, 59 ]
66
[ "59-11=48", "48/16=3", "63+3=66" ]
Current State: 66:[16, 11, 63, 59], Operations: [] Exploring Operation: 59-11=48, Resulting Numbers: [16, 63, 48] Generated Node #2: [16, 63, 48] from Operation: 59-11=48 Current State: 66:[16, 63, 48], Operations: ['59-11=48'] Exploring Operation: 48/16=3, Resulting Numbers: [63, 3] Generated Node #3: [63, 3] from Operation: 48/16=3 Current State: 66:[63, 3], Operations: ['59-11=48', '48/16=3'] Exploring Operation: 63+3=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 6, 81, 63, 9 ]
22
[ "81+63=144", "144/9=16", "6+16=22" ]
Current State: 22:[6, 81, 63, 9], Operations: [] Exploring Operation: 81+63=144, Resulting Numbers: [6, 9, 144] Generated Node #2: [6, 9, 144] from Operation: 81+63=144 Current State: 22:[6, 9, 144], Operations: ['81+63=144'] Exploring Operation: 144/9=16, Resulting Numbers: [6, 16] Generated Node #3: [6, 16] from Operation: 144/9=16 Current State: 22:[6, 16], Operations: ['81+63=144', '144/9=16'] Exploring Operation: 6+16=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 67, 89, 47, 11 ]
98
[ "67+89=156", "47+11=58", "156-58=98" ]
Current State: 98:[67, 89, 47, 11], Operations: [] Exploring Operation: 67+89=156, Resulting Numbers: [47, 11, 156] Generated Node #2: [47, 11, 156] from Operation: 67+89=156 Current State: 98:[47, 11, 156], Operations: ['67+89=156'] Exploring Operation: 47+11=58, Resulting Numbers: [156, 58] Generated Node #3: [156, 58] from Operation: 47+11=58 Current State: 98:[156, 58], Operations: ['67+89=156', '47+11=58'] Exploring Operation: 156-58=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 51, 58, 23, 29 ]
14
[ "51-23=28", "58/29=2", "28/2=14" ]
Current State: 14:[51, 58, 23, 29], Operations: [] Exploring Operation: 51-23=28, Resulting Numbers: [58, 29, 28] Generated Node #2: [58, 29, 28] from Operation: 51-23=28 Current State: 14:[58, 29, 28], Operations: ['51-23=28'] Exploring Operation: 58/29=2, Resulting Numbers: [28, 2] Generated Node #3: [28, 2] from Operation: 58/29=2 Current State: 14:[28, 2], Operations: ['51-23=28', '58/29=2'] Exploring Operation: 28/2=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 33, 98, 54, 23 ]
54
[ "33+98=131", "54+23=77", "131-77=54" ]
Current State: 54:[33, 98, 54, 23], Operations: [] Exploring Operation: 33+98=131, Resulting Numbers: [54, 23, 131] Generated Node #2: [54, 23, 131] from Operation: 33+98=131 Current State: 54:[54, 23, 131], Operations: ['33+98=131'] Exploring Operation: 54+23=77, Resulting Numbers: [131, 77] Generated Node #3: [131, 77] from Operation: 54+23=77 Current State: 54:[131, 77], Operations: ['33+98=131', '54+23=77'] Exploring Operation: 131-77=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 1, 42, 90, 3 ]
33
[ "42-1=41", "3*41=123", "123-90=33" ]
Current State: 33:[1, 42, 90, 3], Operations: [] Exploring Operation: 42-1=41, Resulting Numbers: [90, 3, 41] Generated Node #2: [90, 3, 41] from Operation: 42-1=41 Current State: 33:[90, 3, 41], Operations: ['42-1=41'] Exploring Operation: 3*41=123, Resulting Numbers: [90, 123] Generated Node #3: [90, 123] from Operation: 3*41=123 Current State: 33:[90, 123], Operations: ['42-1=41', '3*41=123'] Exploring Operation: 123-90=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 32, 17, 96, 6 ]
87
[ "32-17=15", "96+6=102", "102-15=87" ]
Current State: 87:[32, 17, 96, 6], Operations: [] Exploring Operation: 32-17=15, Resulting Numbers: [96, 6, 15] Generated Node #2: [96, 6, 15] from Operation: 32-17=15 Current State: 87:[96, 6, 15], Operations: ['32-17=15'] Exploring Operation: 96+6=102, Resulting Numbers: [15, 102] Generated Node #3: [15, 102] from Operation: 96+6=102 Current State: 87:[15, 102], Operations: ['32-17=15', '96+6=102'] Exploring Operation: 102-15=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 48, 49, 49, 36 ]
11
[ "48-36=12", "49/49=1", "12-1=11" ]
Current State: 11:[48, 49, 49, 36], Operations: [] Exploring Operation: 48-36=12, Resulting Numbers: [49, 49, 12] Generated Node #2: [49, 49, 12] from Operation: 48-36=12 Current State: 11:[49, 49, 12], Operations: ['48-36=12'] Exploring Operation: 49/49=1, Resulting Numbers: [12, 1] Generated Node #3: [12, 1] from Operation: 49/49=1 Current State: 11:[12, 1], Operations: ['48-36=12', '49/49=1'] Exploring Operation: 12-1=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 28, 34, 38, 15 ]
32
[ "38-34=4", "15*4=60", "60-28=32" ]
Current State: 32:[28, 34, 38, 15], Operations: [] Exploring Operation: 38-34=4, Resulting Numbers: [28, 15, 4] Generated Node #2: [28, 15, 4] from Operation: 38-34=4 Current State: 32:[28, 15, 4], Operations: ['38-34=4'] Exploring Operation: 15*4=60, Resulting Numbers: [28, 60] Generated Node #3: [28, 60] from Operation: 15*4=60 Current State: 32:[28, 60], Operations: ['38-34=4', '15*4=60'] Exploring Operation: 60-28=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4