nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 43, 40, 64, 37 ]
47
[ "43-40=3", "37*3=111", "111-64=47" ]
Current State: 47:[43, 40, 64, 37], Operations: [] Exploring Operation: 43-40=3, Resulting Numbers: [64, 37, 3] Generated Node #2: [64, 37, 3] from Operation: 43-40=3 Current State: 47:[64, 37, 3], Operations: ['43-40=3'] Exploring Operation: 37*3=111, Resulting Numbers: [64, 111] Generated Node #3: [64, 111] from Operation: 37*3=111 Current State: 47:[64, 111], Operations: ['43-40=3', '37*3=111'] Exploring Operation: 111-64=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 61, 40, 6, 2 ]
54
[ "61-40=21", "6+21=27", "2*27=54" ]
Current State: 54:[61, 40, 6, 2], Operations: [] Exploring Operation: 61-40=21, Resulting Numbers: [6, 2, 21] Generated Node #2: [6, 2, 21] from Operation: 61-40=21 Current State: 54:[6, 2, 21], Operations: ['61-40=21'] Exploring Operation: 6+21=27, Resulting Numbers: [2, 27] Generated Node #3: [2, 27] from Operation: 6+21=27 Current State: 54:[2, 27], Operations: ['61-40=21', '6+21=27'] Exploring Operation: 2*27=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 82, 2, 35, 25 ]
94
[ "82+2=84", "35-25=10", "84+10=94" ]
Current State: 94:[82, 2, 35, 25], Operations: [] Exploring Operation: 82+2=84, Resulting Numbers: [35, 25, 84] Generated Node #2: [35, 25, 84] from Operation: 82+2=84 Current State: 94:[35, 25, 84], Operations: ['82+2=84'] Exploring Operation: 35-25=10, Resulting Numbers: [84, 10] Generated Node #3: [84, 10] from Operation: 35-25=10 Current State: 94:[84, 10], Operations: ['82+2=84', '35-25=10'] Exploring Operation: 84+10=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 17, 47, 37, 63 ]
36
[ "17+47=64", "37+63=100", "100-64=36" ]
Current State: 36:[17, 47, 37, 63], Operations: [] Exploring Operation: 17+47=64, Resulting Numbers: [37, 63, 64] Generated Node #2: [37, 63, 64] from Operation: 17+47=64 Current State: 36:[37, 63, 64], Operations: ['17+47=64'] Exploring Operation: 37+63=100, Resulting Numbers: [64, 100] Generated Node #3: [64, 100] from Operation: 37+63=100 Current State: 36:[64, 100], Operations: ['17+47=64', '37+63=100'] Exploring Operation: 100-64=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 24, 68, 92, 76 ]
82
[ "68*92=6256", "6256-24=6232", "6232/76=82" ]
Current State: 82:[24, 68, 92, 76], Operations: [] Exploring Operation: 68*92=6256, Resulting Numbers: [24, 76, 6256] Generated Node #2: [24, 76, 6256] from Operation: 68*92=6256 Current State: 82:[24, 76, 6256], Operations: ['68*92=6256'] Exploring Operation: 6256-24=6232, Resulting Numbers: [76, 6232] Generated Node #3: [76, 6232] from Operation: 6256-24=6232 Current State: 82:[76, 6232], Operations: ['68*92=6256', '6256-24=6232'] Exploring Operation: 6232/76=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 50, 56, 2, 44 ]
74
[ "56-44=12", "2*12=24", "50+24=74" ]
Current State: 74:[50, 56, 2, 44], Operations: [] Exploring Operation: 56-44=12, Resulting Numbers: [50, 2, 12] Generated Node #2: [50, 2, 12] from Operation: 56-44=12 Current State: 74:[50, 2, 12], Operations: ['56-44=12'] Exploring Operation: 2*12=24, Resulting Numbers: [50, 24] Generated Node #3: [50, 24] from Operation: 2*12=24 Current State: 74:[50, 24], Operations: ['56-44=12', '2*12=24'] Exploring Operation: 50+24=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 86, 57, 2, 56 ]
44
[ "86/2=43", "57-56=1", "43+1=44" ]
Current State: 44:[86, 57, 2, 56], Operations: [] Exploring Operation: 86/2=43, Resulting Numbers: [57, 56, 43] Generated Node #2: [57, 56, 43] from Operation: 86/2=43 Current State: 44:[57, 56, 43], Operations: ['86/2=43'] Exploring Operation: 57-56=1, Resulting Numbers: [43, 1] Generated Node #3: [43, 1] from Operation: 57-56=1 Current State: 44:[43, 1], Operations: ['86/2=43', '57-56=1'] Exploring Operation: 43+1=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 1, 91, 90, 88 ]
46
[ "1+91=92", "90-88=2", "92/2=46" ]
Current State: 46:[1, 91, 90, 88], Operations: [] Exploring Operation: 1+91=92, Resulting Numbers: [90, 88, 92] Generated Node #2: [90, 88, 92] from Operation: 1+91=92 Current State: 46:[90, 88, 92], Operations: ['1+91=92'] Exploring Operation: 90-88=2, Resulting Numbers: [92, 2] Generated Node #3: [92, 2] from Operation: 90-88=2 Current State: 46:[92, 2], Operations: ['1+91=92', '90-88=2'] Exploring Operation: 92/2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 29, 61, 59, 65 ]
22
[ "29+59=88", "65-61=4", "88/4=22" ]
Current State: 22:[29, 61, 59, 65], Operations: [] Exploring Operation: 29+59=88, Resulting Numbers: [61, 65, 88] Generated Node #2: [61, 65, 88] from Operation: 29+59=88 Current State: 22:[61, 65, 88], Operations: ['29+59=88'] Exploring Operation: 65-61=4, Resulting Numbers: [88, 4] Generated Node #3: [88, 4] from Operation: 65-61=4 Current State: 22:[88, 4], Operations: ['29+59=88', '65-61=4'] Exploring Operation: 88/4=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 21, 99, 67, 73 ]
72
[ "99-21=78", "73-67=6", "78-6=72" ]
Current State: 72:[21, 99, 67, 73], Operations: [] Exploring Operation: 99-21=78, Resulting Numbers: [67, 73, 78] Generated Node #2: [67, 73, 78] from Operation: 99-21=78 Current State: 72:[67, 73, 78], Operations: ['99-21=78'] Exploring Operation: 73-67=6, Resulting Numbers: [78, 6] Generated Node #3: [78, 6] from Operation: 73-67=6 Current State: 72:[78, 6], Operations: ['99-21=78', '73-67=6'] Exploring Operation: 78-6=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 48, 90, 48, 51 ]
74
[ "51-48=3", "48/3=16", "90-16=74" ]
Current State: 74:[48, 90, 48, 51], Operations: [] Exploring Operation: 51-48=3, Resulting Numbers: [90, 3] Generated Node #2: [90, 3] from Operation: 51-48=3 Current State: 74:[90, 3], Operations: ['51-48=3'] Exploring Operation: 48/3=16, Resulting Numbers: [90, 16] Generated Node #3: [90, 16] from Operation: 48/3=16 Current State: 74:[90, 16], Operations: ['51-48=3', '48/3=16'] Exploring Operation: 90-16=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 44, 30, 5, 16 ]
18
[ "44+30=74", "16+74=90", "90/5=18" ]
Current State: 18:[44, 30, 5, 16], Operations: [] Exploring Operation: 44+30=74, Resulting Numbers: [5, 16, 74] Generated Node #2: [5, 16, 74] from Operation: 44+30=74 Current State: 18:[5, 16, 74], Operations: ['44+30=74'] Exploring Operation: 16+74=90, Resulting Numbers: [5, 90] Generated Node #3: [5, 90] from Operation: 16+74=90 Current State: 18:[5, 90], Operations: ['44+30=74', '16+74=90'] Exploring Operation: 90/5=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 77, 98, 45, 17 ]
83
[ "98-77=21", "45+17=62", "21+62=83" ]
Current State: 83:[77, 98, 45, 17], Operations: [] Exploring Operation: 98-77=21, Resulting Numbers: [45, 17, 21] Generated Node #2: [45, 17, 21] from Operation: 98-77=21 Current State: 83:[45, 17, 21], Operations: ['98-77=21'] Exploring Operation: 45+17=62, Resulting Numbers: [21, 62] Generated Node #3: [21, 62] from Operation: 45+17=62 Current State: 83:[21, 62], Operations: ['98-77=21', '45+17=62'] Exploring Operation: 21+62=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 39, 78, 83, 57 ]
91
[ "39+78=117", "83-57=26", "117-26=91" ]
Current State: 91:[39, 78, 83, 57], Operations: [] Exploring Operation: 39+78=117, Resulting Numbers: [83, 57, 117] Generated Node #2: [83, 57, 117] from Operation: 39+78=117 Current State: 91:[83, 57, 117], Operations: ['39+78=117'] Exploring Operation: 83-57=26, Resulting Numbers: [117, 26] Generated Node #3: [117, 26] from Operation: 83-57=26 Current State: 91:[117, 26], Operations: ['39+78=117', '83-57=26'] Exploring Operation: 117-26=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 25, 28, 38, 24 ]
62
[ "28-24=4", "25*4=100", "100-38=62" ]
Current State: 62:[25, 28, 38, 24], Operations: [] Exploring Operation: 28-24=4, Resulting Numbers: [25, 38, 4] Generated Node #2: [25, 38, 4] from Operation: 28-24=4 Current State: 62:[25, 38, 4], Operations: ['28-24=4'] Exploring Operation: 25*4=100, Resulting Numbers: [38, 100] Generated Node #3: [38, 100] from Operation: 25*4=100 Current State: 62:[38, 100], Operations: ['28-24=4', '25*4=100'] Exploring Operation: 100-38=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 4, 70, 44, 83 ]
21
[ "70-44=26", "4*26=104", "104-83=21" ]
Current State: 21:[4, 70, 44, 83], Operations: [] Exploring Operation: 70-44=26, Resulting Numbers: [4, 83, 26] Generated Node #2: [4, 83, 26] from Operation: 70-44=26 Current State: 21:[4, 83, 26], Operations: ['70-44=26'] Exploring Operation: 4*26=104, Resulting Numbers: [83, 104] Generated Node #3: [83, 104] from Operation: 4*26=104 Current State: 21:[83, 104], Operations: ['70-44=26', '4*26=104'] Exploring Operation: 104-83=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 57, 66, 8, 34 ]
53
[ "66-34=32", "32/8=4", "57-4=53" ]
Current State: 53:[57, 66, 8, 34], Operations: [] Exploring Operation: 66-34=32, Resulting Numbers: [57, 8, 32] Generated Node #2: [57, 8, 32] from Operation: 66-34=32 Current State: 53:[57, 8, 32], Operations: ['66-34=32'] Exploring Operation: 32/8=4, Resulting Numbers: [57, 4] Generated Node #3: [57, 4] from Operation: 32/8=4 Current State: 53:[57, 4], Operations: ['66-34=32', '32/8=4'] Exploring Operation: 57-4=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 2, 65, 4, 44 ]
86
[ "4-2=2", "65*2=130", "130-44=86" ]
Current State: 86:[2, 65, 4, 44], Operations: [] Exploring Operation: 4-2=2, Resulting Numbers: [65, 44, 2] Generated Node #2: [65, 44, 2] from Operation: 4-2=2 Current State: 86:[65, 44, 2], Operations: ['4-2=2'] Exploring Operation: 65*2=130, Resulting Numbers: [44, 130] Generated Node #3: [44, 130] from Operation: 65*2=130 Current State: 86:[44, 130], Operations: ['4-2=2', '65*2=130'] Exploring Operation: 130-44=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 14, 91, 85, 66 ]
96
[ "91-14=77", "85-66=19", "77+19=96" ]
Current State: 96:[14, 91, 85, 66], Operations: [] Exploring Operation: 91-14=77, Resulting Numbers: [85, 66, 77] Generated Node #2: [85, 66, 77] from Operation: 91-14=77 Current State: 96:[85, 66, 77], Operations: ['91-14=77'] Exploring Operation: 85-66=19, Resulting Numbers: [77, 19] Generated Node #3: [77, 19] from Operation: 85-66=19 Current State: 96:[77, 19], Operations: ['91-14=77', '85-66=19'] Exploring Operation: 77+19=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 71, 24, 77, 4 ]
34
[ "71-24=47", "77+4=81", "81-47=34" ]
Current State: 34:[71, 24, 77, 4], Operations: [] Exploring Operation: 71-24=47, Resulting Numbers: [77, 4, 47] Generated Node #2: [77, 4, 47] from Operation: 71-24=47 Current State: 34:[77, 4, 47], Operations: ['71-24=47'] Exploring Operation: 77+4=81, Resulting Numbers: [47, 81] Generated Node #3: [47, 81] from Operation: 77+4=81 Current State: 34:[47, 81], Operations: ['71-24=47', '77+4=81'] Exploring Operation: 81-47=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 42, 45, 16, 28 ]
69
[ "42*16=672", "672/28=24", "45+24=69" ]
Current State: 69:[42, 45, 16, 28], Operations: [] Exploring Operation: 42*16=672, Resulting Numbers: [45, 28, 672] Generated Node #2: [45, 28, 672] from Operation: 42*16=672 Current State: 69:[45, 28, 672], Operations: ['42*16=672'] Exploring Operation: 672/28=24, Resulting Numbers: [45, 24] Generated Node #3: [45, 24] from Operation: 672/28=24 Current State: 69:[45, 24], Operations: ['42*16=672', '672/28=24'] Exploring Operation: 45+24=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 22, 26, 31, 25 ]
54
[ "22+26=48", "31-25=6", "48+6=54" ]
Current State: 54:[22, 26, 31, 25], Operations: [] Exploring Operation: 22+26=48, Resulting Numbers: [31, 25, 48] Generated Node #2: [31, 25, 48] from Operation: 22+26=48 Current State: 54:[31, 25, 48], Operations: ['22+26=48'] Exploring Operation: 31-25=6, Resulting Numbers: [48, 6] Generated Node #3: [48, 6] from Operation: 31-25=6 Current State: 54:[48, 6], Operations: ['22+26=48', '31-25=6'] Exploring Operation: 48+6=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 70, 29, 73, 14 ]
45
[ "73-70=3", "29-14=15", "3*15=45" ]
Current State: 45:[70, 29, 73, 14], Operations: [] Exploring Operation: 73-70=3, Resulting Numbers: [29, 14, 3] Generated Node #2: [29, 14, 3] from Operation: 73-70=3 Current State: 45:[29, 14, 3], Operations: ['73-70=3'] Exploring Operation: 29-14=15, Resulting Numbers: [3, 15] Generated Node #3: [3, 15] from Operation: 29-14=15 Current State: 45:[3, 15], Operations: ['73-70=3', '29-14=15'] Exploring Operation: 3*15=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 11, 2, 51, 63 ]
68
[ "51+63=114", "114/2=57", "11+57=68" ]
Current State: 68:[11, 2, 51, 63], Operations: [] Exploring Operation: 51+63=114, Resulting Numbers: [11, 2, 114] Generated Node #2: [11, 2, 114] from Operation: 51+63=114 Current State: 68:[11, 2, 114], Operations: ['51+63=114'] Exploring Operation: 114/2=57, Resulting Numbers: [11, 57] Generated Node #3: [11, 57] from Operation: 114/2=57 Current State: 68:[11, 57], Operations: ['51+63=114', '114/2=57'] Exploring Operation: 11+57=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 15, 6, 77, 34 ]
52
[ "15-6=9", "77-34=43", "9+43=52" ]
Current State: 52:[15, 6, 77, 34], Operations: [] Exploring Operation: 15-6=9, Resulting Numbers: [77, 34, 9] Generated Node #2: [77, 34, 9] from Operation: 15-6=9 Current State: 52:[77, 34, 9], Operations: ['15-6=9'] Exploring Operation: 77-34=43, Resulting Numbers: [9, 43] Generated Node #3: [9, 43] from Operation: 77-34=43 Current State: 52:[9, 43], Operations: ['15-6=9', '77-34=43'] Exploring Operation: 9+43=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 43, 10, 97, 9 ]
55
[ "43-10=33", "97-9=88", "88-33=55" ]
Current State: 55:[43, 10, 97, 9], Operations: [] Exploring Operation: 43-10=33, Resulting Numbers: [97, 9, 33] Generated Node #2: [97, 9, 33] from Operation: 43-10=33 Current State: 55:[97, 9, 33], Operations: ['43-10=33'] Exploring Operation: 97-9=88, Resulting Numbers: [33, 88] Generated Node #3: [33, 88] from Operation: 97-9=88 Current State: 55:[33, 88], Operations: ['43-10=33', '97-9=88'] Exploring Operation: 88-33=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 57, 72, 9, 89 ]
83
[ "72-57=15", "9+89=98", "98-15=83" ]
Current State: 83:[57, 72, 9, 89], Operations: [] Exploring Operation: 72-57=15, Resulting Numbers: [9, 89, 15] Generated Node #2: [9, 89, 15] from Operation: 72-57=15 Current State: 83:[9, 89, 15], Operations: ['72-57=15'] Exploring Operation: 9+89=98, Resulting Numbers: [15, 98] Generated Node #3: [15, 98] from Operation: 9+89=98 Current State: 83:[15, 98], Operations: ['72-57=15', '9+89=98'] Exploring Operation: 98-15=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 77, 31, 26, 99 ]
17
[ "77+31=108", "26+99=125", "125-108=17" ]
Current State: 17:[77, 31, 26, 99], Operations: [] Exploring Operation: 77+31=108, Resulting Numbers: [26, 99, 108] Generated Node #2: [26, 99, 108] from Operation: 77+31=108 Current State: 17:[26, 99, 108], Operations: ['77+31=108'] Exploring Operation: 26+99=125, Resulting Numbers: [108, 125] Generated Node #3: [108, 125] from Operation: 26+99=125 Current State: 17:[108, 125], Operations: ['77+31=108', '26+99=125'] Exploring Operation: 125-108=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 59, 26, 70, 74 ]
59
[ "59+26=85", "70+74=144", "144-85=59" ]
Current State: 59:[59, 26, 70, 74], Operations: [] Exploring Operation: 59+26=85, Resulting Numbers: [70, 74, 85] Generated Node #2: [70, 74, 85] from Operation: 59+26=85 Current State: 59:[70, 74, 85], Operations: ['59+26=85'] Exploring Operation: 70+74=144, Resulting Numbers: [85, 144] Generated Node #3: [85, 144] from Operation: 70+74=144 Current State: 59:[85, 144], Operations: ['59+26=85', '70+74=144'] Exploring Operation: 144-85=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 14, 28, 44, 89 ]
14
[ "14*89=1246", "28*44=1232", "1246-1232=14" ]
Current State: 14:[14, 28, 44, 89], Operations: [] Exploring Operation: 14*89=1246, Resulting Numbers: [28, 44, 1246] Generated Node #2: [28, 44, 1246] from Operation: 14*89=1246 Current State: 14:[28, 44, 1246], Operations: ['14*89=1246'] Exploring Operation: 28*44=1232, Resulting Numbers: [1246, 1232] Generated Node #3: [1246, 1232] from Operation: 28*44=1232 Current State: 14:[1246, 1232], Operations: ['14*89=1246', '28*44=1232'] Exploring Operation: 1246-1232=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 56, 7, 2, 19 ]
80
[ "56+7=63", "19-2=17", "63+17=80" ]
Current State: 80:[56, 7, 2, 19], Operations: [] Exploring Operation: 56+7=63, Resulting Numbers: [2, 19, 63] Generated Node #2: [2, 19, 63] from Operation: 56+7=63 Current State: 80:[2, 19, 63], Operations: ['56+7=63'] Exploring Operation: 19-2=17, Resulting Numbers: [63, 17] Generated Node #3: [63, 17] from Operation: 19-2=17 Current State: 80:[63, 17], Operations: ['56+7=63', '19-2=17'] Exploring Operation: 63+17=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 61, 41, 45, 1 ]
15
[ "61-1=60", "45-41=4", "60/4=15" ]
Current State: 15:[61, 41, 45, 1], Operations: [] Exploring Operation: 61-1=60, Resulting Numbers: [41, 45, 60] Generated Node #2: [41, 45, 60] from Operation: 61-1=60 Current State: 15:[41, 45, 60], Operations: ['61-1=60'] Exploring Operation: 45-41=4, Resulting Numbers: [60, 4] Generated Node #3: [60, 4] from Operation: 45-41=4 Current State: 15:[60, 4], Operations: ['61-1=60', '45-41=4'] Exploring Operation: 60/4=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 93, 8, 45, 38 ]
62
[ "38-8=30", "93*30=2790", "2790/45=62" ]
Current State: 62:[93, 8, 45, 38], Operations: [] Exploring Operation: 38-8=30, Resulting Numbers: [93, 45, 30] Generated Node #2: [93, 45, 30] from Operation: 38-8=30 Current State: 62:[93, 45, 30], Operations: ['38-8=30'] Exploring Operation: 93*30=2790, Resulting Numbers: [45, 2790] Generated Node #3: [45, 2790] from Operation: 93*30=2790 Current State: 62:[45, 2790], Operations: ['38-8=30', '93*30=2790'] Exploring Operation: 2790/45=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 34, 40, 30, 20 ]
38
[ "34*40=1360", "1360/20=68", "68-30=38" ]
Current State: 38:[34, 40, 30, 20], Operations: [] Exploring Operation: 34*40=1360, Resulting Numbers: [30, 20, 1360] Generated Node #2: [30, 20, 1360] from Operation: 34*40=1360 Current State: 38:[30, 20, 1360], Operations: ['34*40=1360'] Exploring Operation: 1360/20=68, Resulting Numbers: [30, 68] Generated Node #3: [30, 68] from Operation: 1360/20=68 Current State: 38:[30, 68], Operations: ['34*40=1360', '1360/20=68'] Exploring Operation: 68-30=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 99, 3, 51, 28 ]
30
[ "99+3=102", "102/51=2", "28+2=30" ]
Current State: 30:[99, 3, 51, 28], Operations: [] Exploring Operation: 99+3=102, Resulting Numbers: [51, 28, 102] Generated Node #2: [51, 28, 102] from Operation: 99+3=102 Current State: 30:[51, 28, 102], Operations: ['99+3=102'] Exploring Operation: 102/51=2, Resulting Numbers: [28, 2] Generated Node #3: [28, 2] from Operation: 102/51=2 Current State: 30:[28, 2], Operations: ['99+3=102', '102/51=2'] Exploring Operation: 28+2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 68, 64, 64, 76 ]
56
[ "76-68=8", "64/8=8", "64-8=56" ]
Current State: 56:[68, 64, 64, 76], Operations: [] Exploring Operation: 76-68=8, Resulting Numbers: [64, 64, 8] Generated Node #2: [64, 64, 8] from Operation: 76-68=8 Current State: 56:[64, 64, 8], Operations: ['76-68=8'] Exploring Operation: 64/8=8, Resulting Numbers: [8] 8,56 equal: Goal Reached Exploring Operation: 64-8=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 75, 88, 4, 89 ]
15
[ "88-4=84", "89-84=5", "75/5=15" ]
Current State: 15:[75, 88, 4, 89], Operations: [] Exploring Operation: 88-4=84, Resulting Numbers: [75, 89, 84] Generated Node #2: [75, 89, 84] from Operation: 88-4=84 Current State: 15:[75, 89, 84], Operations: ['88-4=84'] Exploring Operation: 89-84=5, Resulting Numbers: [75, 5] Generated Node #3: [75, 5] from Operation: 89-84=5 Current State: 15:[75, 5], Operations: ['88-4=84', '89-84=5'] Exploring Operation: 75/5=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 84, 2, 84, 81 ]
78
[ "84/84=1", "81-2=79", "79-1=78" ]
Current State: 78:[84, 2, 84, 81], Operations: [] Exploring Operation: 84/84=1, Resulting Numbers: [2, 81, 1] Generated Node #2: [2, 81, 1] from Operation: 84/84=1 Current State: 78:[2, 81, 1], Operations: ['84/84=1'] Exploring Operation: 81-2=79, Resulting Numbers: [1, 79] Generated Node #3: [1, 79] from Operation: 81-2=79 Current State: 78:[1, 79], Operations: ['84/84=1', '81-2=79'] Exploring Operation: 79-1=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 59, 65, 95, 67 ]
23
[ "67-65=2", "59*2=118", "118-95=23" ]
Current State: 23:[59, 65, 95, 67], Operations: [] Exploring Operation: 67-65=2, Resulting Numbers: [59, 95, 2] Generated Node #2: [59, 95, 2] from Operation: 67-65=2 Current State: 23:[59, 95, 2], Operations: ['67-65=2'] Exploring Operation: 59*2=118, Resulting Numbers: [95, 118] Generated Node #3: [95, 118] from Operation: 59*2=118 Current State: 23:[95, 118], Operations: ['67-65=2', '59*2=118'] Exploring Operation: 118-95=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 15, 90, 93, 93 ]
48
[ "93-90=3", "15*3=45", "93-45=48" ]
Current State: 48:[15, 90, 93, 93], Operations: [] Exploring Operation: 93-90=3, Resulting Numbers: [15, 3] Generated Node #2: [15, 3] from Operation: 93-90=3 Current State: 48:[15, 3], Operations: ['93-90=3'] Exploring Operation: 15*3=45, Resulting Numbers: [45] 45,48 equal: Goal Reached Exploring Operation: 93-45=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 91, 87, 82, 72 ]
95
[ "91-82=9", "72/9=8", "87+8=95" ]
Current State: 95:[91, 87, 82, 72], Operations: [] Exploring Operation: 91-82=9, Resulting Numbers: [87, 72, 9] Generated Node #2: [87, 72, 9] from Operation: 91-82=9 Current State: 95:[87, 72, 9], Operations: ['91-82=9'] Exploring Operation: 72/9=8, Resulting Numbers: [87, 8] Generated Node #3: [87, 8] from Operation: 72/9=8 Current State: 95:[87, 8], Operations: ['91-82=9', '72/9=8'] Exploring Operation: 87+8=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 92, 79, 1, 95 ]
82
[ "92-79=13", "1*95=95", "95-13=82" ]
Current State: 82:[92, 79, 1, 95], Operations: [] Exploring Operation: 92-79=13, Resulting Numbers: [1, 95, 13] Generated Node #2: [1, 95, 13] from Operation: 92-79=13 Current State: 82:[1, 95, 13], Operations: ['92-79=13'] Exploring Operation: 1*95=95, Resulting Numbers: [13, 95] Generated Node #3: [13, 95] from Operation: 1*95=95 Current State: 82:[13, 95], Operations: ['92-79=13', '1*95=95'] Exploring Operation: 95-13=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 31, 76, 77, 12 ]
43
[ "31+12=43", "77-76=1", "43*1=43" ]
Current State: 43:[31, 76, 77, 12], Operations: [] Exploring Operation: 31+12=43, Resulting Numbers: [76, 77, 43] Generated Node #2: [76, 77, 43] from Operation: 31+12=43 Current State: 43:[76, 77, 43], Operations: ['31+12=43'] Exploring Operation: 77-76=1, Resulting Numbers: [43, 1] Generated Node #3: [43, 1] from Operation: 77-76=1 Current State: 43:[43, 1], Operations: ['31+12=43', '77-76=1'] Exploring Operation: 43*1=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 51, 15, 4, 3 ]
93
[ "51*3=153", "15*4=60", "153-60=93" ]
Current State: 93:[51, 15, 4, 3], Operations: [] Exploring Operation: 51*3=153, Resulting Numbers: [15, 4, 153] Generated Node #2: [15, 4, 153] from Operation: 51*3=153 Current State: 93:[15, 4, 153], Operations: ['51*3=153'] Exploring Operation: 15*4=60, Resulting Numbers: [153, 60] Generated Node #3: [153, 60] from Operation: 15*4=60 Current State: 93:[153, 60], Operations: ['51*3=153', '15*4=60'] Exploring Operation: 153-60=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 20, 14, 93, 10 ]
93
[ "20*10=200", "14+93=107", "200-107=93" ]
Current State: 93:[20, 14, 93, 10], Operations: [] Exploring Operation: 20*10=200, Resulting Numbers: [14, 93, 200] Generated Node #2: [14, 93, 200] from Operation: 20*10=200 Current State: 93:[14, 93, 200], Operations: ['20*10=200'] Exploring Operation: 14+93=107, Resulting Numbers: [200, 107] Generated Node #3: [200, 107] from Operation: 14+93=107 Current State: 93:[200, 107], Operations: ['20*10=200', '14+93=107'] Exploring Operation: 200-107=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 49, 8, 73, 65 ]
62
[ "73-49=24", "24/8=3", "65-3=62" ]
Current State: 62:[49, 8, 73, 65], Operations: [] Exploring Operation: 73-49=24, Resulting Numbers: [8, 65, 24] Generated Node #2: [8, 65, 24] from Operation: 73-49=24 Current State: 62:[8, 65, 24], Operations: ['73-49=24'] Exploring Operation: 24/8=3, Resulting Numbers: [65, 3] Generated Node #3: [65, 3] from Operation: 24/8=3 Current State: 62:[65, 3], Operations: ['73-49=24', '24/8=3'] Exploring Operation: 65-3=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 46, 51, 3, 91 ]
62
[ "91-46=45", "51/3=17", "45+17=62" ]
Current State: 62:[46, 51, 3, 91], Operations: [] Exploring Operation: 91-46=45, Resulting Numbers: [51, 3, 45] Generated Node #2: [51, 3, 45] from Operation: 91-46=45 Current State: 62:[51, 3, 45], Operations: ['91-46=45'] Exploring Operation: 51/3=17, Resulting Numbers: [45, 17] Generated Node #3: [45, 17] from Operation: 51/3=17 Current State: 62:[45, 17], Operations: ['91-46=45', '51/3=17'] Exploring Operation: 45+17=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 2, 35, 84, 18 ]
83
[ "2*18=36", "35+84=119", "119-36=83" ]
Current State: 83:[2, 35, 84, 18], Operations: [] Exploring Operation: 2*18=36, Resulting Numbers: [35, 84, 36] Generated Node #2: [35, 84, 36] from Operation: 2*18=36 Current State: 83:[35, 84, 36], Operations: ['2*18=36'] Exploring Operation: 35+84=119, Resulting Numbers: [36, 119] Generated Node #3: [36, 119] from Operation: 35+84=119 Current State: 83:[36, 119], Operations: ['2*18=36', '35+84=119'] Exploring Operation: 119-36=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 1, 79, 25, 35 ]
19
[ "1*79=79", "25+35=60", "79-60=19" ]
Current State: 19:[1, 79, 25, 35], Operations: [] Exploring Operation: 1*79=79, Resulting Numbers: [25, 35, 79] Generated Node #2: [25, 35, 79] from Operation: 1*79=79 Current State: 19:[25, 35, 79], Operations: ['1*79=79'] Exploring Operation: 25+35=60, Resulting Numbers: [79, 60] Generated Node #3: [79, 60] from Operation: 25+35=60 Current State: 19:[79, 60], Operations: ['1*79=79', '25+35=60'] Exploring Operation: 79-60=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 17, 69, 35, 80 ]
29
[ "17+69=86", "35+80=115", "115-86=29" ]
Current State: 29:[17, 69, 35, 80], Operations: [] Exploring Operation: 17+69=86, Resulting Numbers: [35, 80, 86] Generated Node #2: [35, 80, 86] from Operation: 17+69=86 Current State: 29:[35, 80, 86], Operations: ['17+69=86'] Exploring Operation: 35+80=115, Resulting Numbers: [86, 115] Generated Node #3: [86, 115] from Operation: 35+80=115 Current State: 29:[86, 115], Operations: ['17+69=86', '35+80=115'] Exploring Operation: 115-86=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 11, 68, 90, 78 ]
89
[ "11+68=79", "90+78=168", "168-79=89" ]
Current State: 89:[11, 68, 90, 78], Operations: [] Exploring Operation: 11+68=79, Resulting Numbers: [90, 78, 79] Generated Node #2: [90, 78, 79] from Operation: 11+68=79 Current State: 89:[90, 78, 79], Operations: ['11+68=79'] Exploring Operation: 90+78=168, Resulting Numbers: [79, 168] Generated Node #3: [79, 168] from Operation: 90+78=168 Current State: 89:[79, 168], Operations: ['11+68=79', '90+78=168'] Exploring Operation: 168-79=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 30, 3, 20, 92 ]
26
[ "3+20=23", "92/23=4", "30-4=26" ]
Current State: 26:[30, 3, 20, 92], Operations: [] Exploring Operation: 3+20=23, Resulting Numbers: [30, 92, 23] Generated Node #2: [30, 92, 23] from Operation: 3+20=23 Current State: 26:[30, 92, 23], Operations: ['3+20=23'] Exploring Operation: 92/23=4, Resulting Numbers: [30, 4] Generated Node #3: [30, 4] from Operation: 92/23=4 Current State: 26:[30, 4], Operations: ['3+20=23', '92/23=4'] Exploring Operation: 30-4=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 17, 81, 5, 18 ]
99
[ "17+5=22", "81*22=1782", "1782/18=99" ]
Current State: 99:[17, 81, 5, 18], Operations: [] Exploring Operation: 17+5=22, Resulting Numbers: [81, 18, 22] Generated Node #2: [81, 18, 22] from Operation: 17+5=22 Current State: 99:[81, 18, 22], Operations: ['17+5=22'] Exploring Operation: 81*22=1782, Resulting Numbers: [18, 1782] Generated Node #3: [18, 1782] from Operation: 81*22=1782 Current State: 99:[18, 1782], Operations: ['17+5=22', '81*22=1782'] Exploring Operation: 1782/18=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 74, 76, 71, 25 ]
79
[ "76-71=5", "25/5=5", "74+5=79" ]
Current State: 79:[74, 76, 71, 25], Operations: [] Exploring Operation: 76-71=5, Resulting Numbers: [74, 25, 5] Generated Node #2: [74, 25, 5] from Operation: 76-71=5 Current State: 79:[74, 25, 5], Operations: ['76-71=5'] Exploring Operation: 25/5=5, Resulting Numbers: [74, 5] Generated Node #3: [74, 5] from Operation: 25/5=5 Current State: 79:[74, 5], Operations: ['76-71=5', '25/5=5'] Exploring Operation: 74+5=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 88, 87, 3, 56 ]
58
[ "88-87=1", "3+56=59", "59-1=58" ]
Current State: 58:[88, 87, 3, 56], Operations: [] Exploring Operation: 88-87=1, Resulting Numbers: [3, 56, 1] Generated Node #2: [3, 56, 1] from Operation: 88-87=1 Current State: 58:[3, 56, 1], Operations: ['88-87=1'] Exploring Operation: 3+56=59, Resulting Numbers: [1, 59] Generated Node #3: [1, 59] from Operation: 3+56=59 Current State: 58:[1, 59], Operations: ['88-87=1', '3+56=59'] Exploring Operation: 59-1=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 57, 81, 21, 96 ]
32
[ "81-57=24", "24-21=3", "96/3=32" ]
Current State: 32:[57, 81, 21, 96], Operations: [] Exploring Operation: 81-57=24, Resulting Numbers: [21, 96, 24] Generated Node #2: [21, 96, 24] from Operation: 81-57=24 Current State: 32:[21, 96, 24], Operations: ['81-57=24'] Exploring Operation: 24-21=3, Resulting Numbers: [96, 3] Generated Node #3: [96, 3] from Operation: 24-21=3 Current State: 32:[96, 3], Operations: ['81-57=24', '24-21=3'] Exploring Operation: 96/3=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 64, 58, 13, 33 ]
45
[ "64-58=6", "13*6=78", "78-33=45" ]
Current State: 45:[64, 58, 13, 33], Operations: [] Exploring Operation: 64-58=6, Resulting Numbers: [13, 33, 6] Generated Node #2: [13, 33, 6] from Operation: 64-58=6 Current State: 45:[13, 33, 6], Operations: ['64-58=6'] Exploring Operation: 13*6=78, Resulting Numbers: [33, 78] Generated Node #3: [33, 78] from Operation: 13*6=78 Current State: 45:[33, 78], Operations: ['64-58=6', '13*6=78'] Exploring Operation: 78-33=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 33, 43, 32, 55 ]
99
[ "33+43=76", "55-32=23", "76+23=99" ]
Current State: 99:[33, 43, 32, 55], Operations: [] Exploring Operation: 33+43=76, Resulting Numbers: [32, 55, 76] Generated Node #2: [32, 55, 76] from Operation: 33+43=76 Current State: 99:[32, 55, 76], Operations: ['33+43=76'] Exploring Operation: 55-32=23, Resulting Numbers: [76, 23] Generated Node #3: [76, 23] from Operation: 55-32=23 Current State: 99:[76, 23], Operations: ['33+43=76', '55-32=23'] Exploring Operation: 76+23=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 4, 74, 85, 82 ]
46
[ "74+82=156", "156/4=39", "85-39=46" ]
Current State: 46:[4, 74, 85, 82], Operations: [] Exploring Operation: 74+82=156, Resulting Numbers: [4, 85, 156] Generated Node #2: [4, 85, 156] from Operation: 74+82=156 Current State: 46:[4, 85, 156], Operations: ['74+82=156'] Exploring Operation: 156/4=39, Resulting Numbers: [85, 39] Generated Node #3: [85, 39] from Operation: 156/4=39 Current State: 46:[85, 39], Operations: ['74+82=156', '156/4=39'] Exploring Operation: 85-39=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 90, 37, 6, 3 ]
61
[ "90/3=30", "37-6=31", "30+31=61" ]
Current State: 61:[90, 37, 6, 3], Operations: [] Exploring Operation: 90/3=30, Resulting Numbers: [37, 6, 30] Generated Node #2: [37, 6, 30] from Operation: 90/3=30 Current State: 61:[37, 6, 30], Operations: ['90/3=30'] Exploring Operation: 37-6=31, Resulting Numbers: [30, 31] Generated Node #3: [30, 31] from Operation: 37-6=31 Current State: 61:[30, 31], Operations: ['90/3=30', '37-6=31'] Exploring Operation: 30+31=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 92, 30, 69, 36 ]
76
[ "92*30=2760", "2760/69=40", "36+40=76" ]
Current State: 76:[92, 30, 69, 36], Operations: [] Exploring Operation: 92*30=2760, Resulting Numbers: [69, 36, 2760] Generated Node #2: [69, 36, 2760] from Operation: 92*30=2760 Current State: 76:[69, 36, 2760], Operations: ['92*30=2760'] Exploring Operation: 2760/69=40, Resulting Numbers: [36, 40] Generated Node #3: [36, 40] from Operation: 2760/69=40 Current State: 76:[36, 40], Operations: ['92*30=2760', '2760/69=40'] Exploring Operation: 36+40=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 55, 17, 28, 56 ]
100
[ "55+17=72", "56-28=28", "72+28=100" ]
Current State: 100:[55, 17, 28, 56], Operations: [] Exploring Operation: 55+17=72, Resulting Numbers: [28, 56, 72] Generated Node #2: [28, 56, 72] from Operation: 55+17=72 Current State: 100:[28, 56, 72], Operations: ['55+17=72'] Exploring Operation: 56-28=28, Resulting Numbers: [72, 28] Generated Node #3: [72, 28] from Operation: 56-28=28 Current State: 100:[72, 28], Operations: ['55+17=72', '56-28=28'] Exploring Operation: 72+28=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 57, 66, 47, 30 ]
90
[ "57*30=1710", "66-47=19", "1710/19=90" ]
Current State: 90:[57, 66, 47, 30], Operations: [] Exploring Operation: 57*30=1710, Resulting Numbers: [66, 47, 1710] Generated Node #2: [66, 47, 1710] from Operation: 57*30=1710 Current State: 90:[66, 47, 1710], Operations: ['57*30=1710'] Exploring Operation: 66-47=19, Resulting Numbers: [1710, 19] Generated Node #3: [1710, 19] from Operation: 66-47=19 Current State: 90:[1710, 19], Operations: ['57*30=1710', '66-47=19'] Exploring Operation: 1710/19=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 30, 3, 81, 42 ]
32
[ "3+81=84", "84/42=2", "30+2=32" ]
Current State: 32:[30, 3, 81, 42], Operations: [] Exploring Operation: 3+81=84, Resulting Numbers: [30, 42, 84] Generated Node #2: [30, 42, 84] from Operation: 3+81=84 Current State: 32:[30, 42, 84], Operations: ['3+81=84'] Exploring Operation: 84/42=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 84/42=2 Current State: 32:[30, 2], Operations: ['3+81=84', '84/42=2'] Exploring Operation: 30+2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 14, 10, 13, 42 ]
69
[ "42/14=3", "10+13=23", "3*23=69" ]
Current State: 69:[14, 10, 13, 42], Operations: [] Exploring Operation: 42/14=3, Resulting Numbers: [10, 13, 3] Generated Node #2: [10, 13, 3] from Operation: 42/14=3 Current State: 69:[10, 13, 3], Operations: ['42/14=3'] Exploring Operation: 10+13=23, Resulting Numbers: [3, 23] Generated Node #3: [3, 23] from Operation: 10+13=23 Current State: 69:[3, 23], Operations: ['42/14=3', '10+13=23'] Exploring Operation: 3*23=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 43, 48, 70, 19 ]
46
[ "48-43=5", "70-19=51", "51-5=46" ]
Current State: 46:[43, 48, 70, 19], Operations: [] Exploring Operation: 48-43=5, Resulting Numbers: [70, 19, 5] Generated Node #2: [70, 19, 5] from Operation: 48-43=5 Current State: 46:[70, 19, 5], Operations: ['48-43=5'] Exploring Operation: 70-19=51, Resulting Numbers: [5, 51] Generated Node #3: [5, 51] from Operation: 70-19=51 Current State: 46:[5, 51], Operations: ['48-43=5', '70-19=51'] Exploring Operation: 51-5=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 15, 96, 80, 63 ]
81
[ "15*96=1440", "1440/80=18", "63+18=81" ]
Current State: 81:[15, 96, 80, 63], Operations: [] Exploring Operation: 15*96=1440, Resulting Numbers: [80, 63, 1440] Generated Node #2: [80, 63, 1440] from Operation: 15*96=1440 Current State: 81:[80, 63, 1440], Operations: ['15*96=1440'] Exploring Operation: 1440/80=18, Resulting Numbers: [63, 18] Generated Node #3: [63, 18] from Operation: 1440/80=18 Current State: 81:[63, 18], Operations: ['15*96=1440', '1440/80=18'] Exploring Operation: 63+18=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 48, 35, 14, 28 ]
20
[ "48*14=672", "28+672=700", "700/35=20" ]
Current State: 20:[48, 35, 14, 28], Operations: [] Exploring Operation: 48*14=672, Resulting Numbers: [35, 28, 672] Generated Node #2: [35, 28, 672] from Operation: 48*14=672 Current State: 20:[35, 28, 672], Operations: ['48*14=672'] Exploring Operation: 28+672=700, Resulting Numbers: [35, 700] Generated Node #3: [35, 700] from Operation: 28+672=700 Current State: 20:[35, 700], Operations: ['48*14=672', '28+672=700'] Exploring Operation: 700/35=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 10, 28, 22, 89 ]
93
[ "28-10=18", "22+89=111", "111-18=93" ]
Current State: 93:[10, 28, 22, 89], Operations: [] Exploring Operation: 28-10=18, Resulting Numbers: [22, 89, 18] Generated Node #2: [22, 89, 18] from Operation: 28-10=18 Current State: 93:[22, 89, 18], Operations: ['28-10=18'] Exploring Operation: 22+89=111, Resulting Numbers: [18, 111] Generated Node #3: [18, 111] from Operation: 22+89=111 Current State: 93:[18, 111], Operations: ['28-10=18', '22+89=111'] Exploring Operation: 111-18=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 80, 78, 98, 21 ]
81
[ "80+78=158", "98-21=77", "158-77=81" ]
Current State: 81:[80, 78, 98, 21], Operations: [] Exploring Operation: 80+78=158, Resulting Numbers: [98, 21, 158] Generated Node #2: [98, 21, 158] from Operation: 80+78=158 Current State: 81:[98, 21, 158], Operations: ['80+78=158'] Exploring Operation: 98-21=77, Resulting Numbers: [158, 77] Generated Node #3: [158, 77] from Operation: 98-21=77 Current State: 81:[158, 77], Operations: ['80+78=158', '98-21=77'] Exploring Operation: 158-77=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 17, 9, 69, 8 ]
52
[ "69-17=52", "9-8=1", "52*1=52" ]
Current State: 52:[17, 9, 69, 8], Operations: [] Exploring Operation: 69-17=52, Resulting Numbers: [9, 8, 52] Generated Node #2: [9, 8, 52] from Operation: 69-17=52 Current State: 52:[9, 8, 52], Operations: ['69-17=52'] Exploring Operation: 9-8=1, Resulting Numbers: [52, 1] Generated Node #3: [52, 1] from Operation: 9-8=1 Current State: 52:[52, 1], Operations: ['69-17=52', '9-8=1'] Exploring Operation: 52*1=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 2, 8, 37, 72 ]
81
[ "72/2=36", "8+37=45", "36+45=81" ]
Current State: 81:[2, 8, 37, 72], Operations: [] Exploring Operation: 72/2=36, Resulting Numbers: [8, 37, 36] Generated Node #2: [8, 37, 36] from Operation: 72/2=36 Current State: 81:[8, 37, 36], Operations: ['72/2=36'] Exploring Operation: 8+37=45, Resulting Numbers: [36, 45] Generated Node #3: [36, 45] from Operation: 8+37=45 Current State: 81:[36, 45], Operations: ['72/2=36', '8+37=45'] Exploring Operation: 36+45=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 38, 86, 61, 15 ]
43
[ "38*86=3268", "61+15=76", "3268/76=43" ]
Current State: 43:[38, 86, 61, 15], Operations: [] Exploring Operation: 38*86=3268, Resulting Numbers: [61, 15, 3268] Generated Node #2: [61, 15, 3268] from Operation: 38*86=3268 Current State: 43:[61, 15, 3268], Operations: ['38*86=3268'] Exploring Operation: 61+15=76, Resulting Numbers: [3268, 76] Generated Node #3: [3268, 76] from Operation: 61+15=76 Current State: 43:[3268, 76], Operations: ['38*86=3268', '61+15=76'] Exploring Operation: 3268/76=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 3, 59, 6, 40 ]
31
[ "59-6=53", "40+53=93", "93/3=31" ]
Current State: 31:[3, 59, 6, 40], Operations: [] Exploring Operation: 59-6=53, Resulting Numbers: [3, 40, 53] Generated Node #2: [3, 40, 53] from Operation: 59-6=53 Current State: 31:[3, 40, 53], Operations: ['59-6=53'] Exploring Operation: 40+53=93, Resulting Numbers: [3, 93] Generated Node #3: [3, 93] from Operation: 40+53=93 Current State: 31:[3, 93], Operations: ['59-6=53', '40+53=93'] Exploring Operation: 93/3=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 88, 64, 66, 24 ]
72
[ "64*66=4224", "4224/88=48", "24+48=72" ]
Current State: 72:[88, 64, 66, 24], Operations: [] Exploring Operation: 64*66=4224, Resulting Numbers: [88, 24, 4224] Generated Node #2: [88, 24, 4224] from Operation: 64*66=4224 Current State: 72:[88, 24, 4224], Operations: ['64*66=4224'] Exploring Operation: 4224/88=48, Resulting Numbers: [24, 48] Generated Node #3: [24, 48] from Operation: 4224/88=48 Current State: 72:[24, 48], Operations: ['64*66=4224', '4224/88=48'] Exploring Operation: 24+48=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 28, 38, 48, 34 ]
46
[ "34-28=6", "48/6=8", "38+8=46" ]
Current State: 46:[28, 38, 48, 34], Operations: [] Exploring Operation: 34-28=6, Resulting Numbers: [38, 48, 6] Generated Node #2: [38, 48, 6] from Operation: 34-28=6 Current State: 46:[38, 48, 6], Operations: ['34-28=6'] Exploring Operation: 48/6=8, Resulting Numbers: [38, 8] Generated Node #3: [38, 8] from Operation: 48/6=8 Current State: 46:[38, 8], Operations: ['34-28=6', '48/6=8'] Exploring Operation: 38+8=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 61, 63, 72, 79 ]
70
[ "79-72=7", "63/7=9", "61+9=70" ]
Current State: 70:[61, 63, 72, 79], Operations: [] Exploring Operation: 79-72=7, Resulting Numbers: [61, 63, 7] Generated Node #2: [61, 63, 7] from Operation: 79-72=7 Current State: 70:[61, 63, 7], Operations: ['79-72=7'] Exploring Operation: 63/7=9, Resulting Numbers: [61, 9] Generated Node #3: [61, 9] from Operation: 63/7=9 Current State: 70:[61, 9], Operations: ['79-72=7', '63/7=9'] Exploring Operation: 61+9=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 72, 67, 17, 55 ]
43
[ "72-67=5", "55-17=38", "5+38=43" ]
Current State: 43:[72, 67, 17, 55], Operations: [] Exploring Operation: 72-67=5, Resulting Numbers: [17, 55, 5] Generated Node #2: [17, 55, 5] from Operation: 72-67=5 Current State: 43:[17, 55, 5], Operations: ['72-67=5'] Exploring Operation: 55-17=38, Resulting Numbers: [5, 38] Generated Node #3: [5, 38] from Operation: 55-17=38 Current State: 43:[5, 38], Operations: ['72-67=5', '55-17=38'] Exploring Operation: 5+38=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 1, 43, 3, 46 ]
80
[ "43-1=42", "3*42=126", "126-46=80" ]
Current State: 80:[1, 43, 3, 46], Operations: [] Exploring Operation: 43-1=42, Resulting Numbers: [3, 46, 42] Generated Node #2: [3, 46, 42] from Operation: 43-1=42 Current State: 80:[3, 46, 42], Operations: ['43-1=42'] Exploring Operation: 3*42=126, Resulting Numbers: [46, 126] Generated Node #3: [46, 126] from Operation: 3*42=126 Current State: 80:[46, 126], Operations: ['43-1=42', '3*42=126'] Exploring Operation: 126-46=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 14, 1, 98, 87 ]
94
[ "14*1=14", "98/14=7", "87+7=94" ]
Current State: 94:[14, 1, 98, 87], Operations: [] Exploring Operation: 14*1=14, Resulting Numbers: [98, 87, 14] Generated Node #2: [98, 87, 14] from Operation: 14*1=14 Current State: 94:[98, 87, 14], Operations: ['14*1=14'] Exploring Operation: 98/14=7, Resulting Numbers: [87, 7] Generated Node #3: [87, 7] from Operation: 98/14=7 Current State: 94:[87, 7], Operations: ['14*1=14', '98/14=7'] Exploring Operation: 87+7=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 92, 96, 33, 3 ]
71
[ "96-33=63", "63/3=21", "92-21=71" ]
Current State: 71:[92, 96, 33, 3], Operations: [] Exploring Operation: 96-33=63, Resulting Numbers: [92, 3, 63] Generated Node #2: [92, 3, 63] from Operation: 96-33=63 Current State: 71:[92, 3, 63], Operations: ['96-33=63'] Exploring Operation: 63/3=21, Resulting Numbers: [92, 21] Generated Node #3: [92, 21] from Operation: 63/3=21 Current State: 71:[92, 21], Operations: ['96-33=63', '63/3=21'] Exploring Operation: 92-21=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 2, 30, 93, 64 ]
92
[ "2*93=186", "30+64=94", "186-94=92" ]
Current State: 92:[2, 30, 93, 64], Operations: [] Exploring Operation: 2*93=186, Resulting Numbers: [30, 64, 186] Generated Node #2: [30, 64, 186] from Operation: 2*93=186 Current State: 92:[30, 64, 186], Operations: ['2*93=186'] Exploring Operation: 30+64=94, Resulting Numbers: [186, 94] Generated Node #3: [186, 94] from Operation: 30+64=94 Current State: 92:[186, 94], Operations: ['2*93=186', '30+64=94'] Exploring Operation: 186-94=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 40, 39, 77, 31 ]
62
[ "40+39=79", "79-77=2", "31*2=62" ]
Current State: 62:[40, 39, 77, 31], Operations: [] Exploring Operation: 40+39=79, Resulting Numbers: [77, 31, 79] Generated Node #2: [77, 31, 79] from Operation: 40+39=79 Current State: 62:[77, 31, 79], Operations: ['40+39=79'] Exploring Operation: 79-77=2, Resulting Numbers: [31, 2] Generated Node #3: [31, 2] from Operation: 79-77=2 Current State: 62:[31, 2], Operations: ['40+39=79', '79-77=2'] Exploring Operation: 31*2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 72, 50, 24, 45 ]
98
[ "72/24=3", "50+45=95", "3+95=98" ]
Current State: 98:[72, 50, 24, 45], Operations: [] Exploring Operation: 72/24=3, Resulting Numbers: [50, 45, 3] Generated Node #2: [50, 45, 3] from Operation: 72/24=3 Current State: 98:[50, 45, 3], Operations: ['72/24=3'] Exploring Operation: 50+45=95, Resulting Numbers: [3, 95] Generated Node #3: [3, 95] from Operation: 50+45=95 Current State: 98:[3, 95], Operations: ['72/24=3', '50+45=95'] Exploring Operation: 3+95=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 42, 8, 46, 84 ]
40
[ "84/42=2", "46-8=38", "2+38=40" ]
Current State: 40:[42, 8, 46, 84], Operations: [] Exploring Operation: 84/42=2, Resulting Numbers: [8, 46, 2] Generated Node #2: [8, 46, 2] from Operation: 84/42=2 Current State: 40:[8, 46, 2], Operations: ['84/42=2'] Exploring Operation: 46-8=38, Resulting Numbers: [2, 38] Generated Node #3: [2, 38] from Operation: 46-8=38 Current State: 40:[2, 38], Operations: ['84/42=2', '46-8=38'] Exploring Operation: 2+38=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 15, 35, 28, 31 ]
79
[ "35-15=20", "28+31=59", "20+59=79" ]
Current State: 79:[15, 35, 28, 31], Operations: [] Exploring Operation: 35-15=20, Resulting Numbers: [28, 31, 20] Generated Node #2: [28, 31, 20] from Operation: 35-15=20 Current State: 79:[28, 31, 20], Operations: ['35-15=20'] Exploring Operation: 28+31=59, Resulting Numbers: [20, 59] Generated Node #3: [20, 59] from Operation: 28+31=59 Current State: 79:[20, 59], Operations: ['35-15=20', '28+31=59'] Exploring Operation: 20+59=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 12, 3, 24, 95 ]
46
[ "24/12=2", "95-3=92", "92/2=46" ]
Current State: 46:[12, 3, 24, 95], Operations: [] Exploring Operation: 24/12=2, Resulting Numbers: [3, 95, 2] Generated Node #2: [3, 95, 2] from Operation: 24/12=2 Current State: 46:[3, 95, 2], Operations: ['24/12=2'] Exploring Operation: 95-3=92, Resulting Numbers: [2, 92] Generated Node #3: [2, 92] from Operation: 95-3=92 Current State: 46:[2, 92], Operations: ['24/12=2', '95-3=92'] Exploring Operation: 92/2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 6, 29, 47, 39 ]
58
[ "47-6=41", "41-39=2", "29*2=58" ]
Current State: 58:[6, 29, 47, 39], Operations: [] Exploring Operation: 47-6=41, Resulting Numbers: [29, 39, 41] Generated Node #2: [29, 39, 41] from Operation: 47-6=41 Current State: 58:[29, 39, 41], Operations: ['47-6=41'] Exploring Operation: 41-39=2, Resulting Numbers: [29, 2] Generated Node #3: [29, 2] from Operation: 41-39=2 Current State: 58:[29, 2], Operations: ['47-6=41', '41-39=2'] Exploring Operation: 29*2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 95, 69, 37, 63 ]
74
[ "95-69=26", "37+63=100", "100-26=74" ]
Current State: 74:[95, 69, 37, 63], Operations: [] Exploring Operation: 95-69=26, Resulting Numbers: [37, 63, 26] Generated Node #2: [37, 63, 26] from Operation: 95-69=26 Current State: 74:[37, 63, 26], Operations: ['95-69=26'] Exploring Operation: 37+63=100, Resulting Numbers: [26, 100] Generated Node #3: [26, 100] from Operation: 37+63=100 Current State: 74:[26, 100], Operations: ['95-69=26', '37+63=100'] Exploring Operation: 100-26=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 59, 92, 22, 86 ]
43
[ "59+92=151", "22+86=108", "151-108=43" ]
Current State: 43:[59, 92, 22, 86], Operations: [] Exploring Operation: 59+92=151, Resulting Numbers: [22, 86, 151] Generated Node #2: [22, 86, 151] from Operation: 59+92=151 Current State: 43:[22, 86, 151], Operations: ['59+92=151'] Exploring Operation: 22+86=108, Resulting Numbers: [151, 108] Generated Node #3: [151, 108] from Operation: 22+86=108 Current State: 43:[151, 108], Operations: ['59+92=151', '22+86=108'] Exploring Operation: 151-108=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 34, 14, 76, 60 ]
17
[ "76-14=62", "62-60=2", "34/2=17" ]
Current State: 17:[34, 14, 76, 60], Operations: [] Exploring Operation: 76-14=62, Resulting Numbers: [34, 60, 62] Generated Node #2: [34, 60, 62] from Operation: 76-14=62 Current State: 17:[34, 60, 62], Operations: ['76-14=62'] Exploring Operation: 62-60=2, Resulting Numbers: [34, 2] Generated Node #3: [34, 2] from Operation: 62-60=2 Current State: 17:[34, 2], Operations: ['76-14=62', '62-60=2'] Exploring Operation: 34/2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 57, 83, 5, 69 ]
38
[ "83-57=26", "69-5=64", "64-26=38" ]
Current State: 38:[57, 83, 5, 69], Operations: [] Exploring Operation: 83-57=26, Resulting Numbers: [5, 69, 26] Generated Node #2: [5, 69, 26] from Operation: 83-57=26 Current State: 38:[5, 69, 26], Operations: ['83-57=26'] Exploring Operation: 69-5=64, Resulting Numbers: [26, 64] Generated Node #3: [26, 64] from Operation: 69-5=64 Current State: 38:[26, 64], Operations: ['83-57=26', '69-5=64'] Exploring Operation: 64-26=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 16, 69, 21, 48 ]
76
[ "16*21=336", "336/48=7", "69+7=76" ]
Current State: 76:[16, 69, 21, 48], Operations: [] Exploring Operation: 16*21=336, Resulting Numbers: [69, 48, 336] Generated Node #2: [69, 48, 336] from Operation: 16*21=336 Current State: 76:[69, 48, 336], Operations: ['16*21=336'] Exploring Operation: 336/48=7, Resulting Numbers: [69, 7] Generated Node #3: [69, 7] from Operation: 336/48=7 Current State: 76:[69, 7], Operations: ['16*21=336', '336/48=7'] Exploring Operation: 69+7=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 6, 9, 42, 19 ]
15
[ "9-6=3", "19*3=57", "57-42=15" ]
Current State: 15:[6, 9, 42, 19], Operations: [] Exploring Operation: 9-6=3, Resulting Numbers: [42, 19, 3] Generated Node #2: [42, 19, 3] from Operation: 9-6=3 Current State: 15:[42, 19, 3], Operations: ['9-6=3'] Exploring Operation: 19*3=57, Resulting Numbers: [42, 57] Generated Node #3: [42, 57] from Operation: 19*3=57 Current State: 15:[42, 57], Operations: ['9-6=3', '19*3=57'] Exploring Operation: 57-42=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 45, 54, 21, 52 ]
68
[ "45+54=99", "52-21=31", "99-31=68" ]
Current State: 68:[45, 54, 21, 52], Operations: [] Exploring Operation: 45+54=99, Resulting Numbers: [21, 52, 99] Generated Node #2: [21, 52, 99] from Operation: 45+54=99 Current State: 68:[21, 52, 99], Operations: ['45+54=99'] Exploring Operation: 52-21=31, Resulting Numbers: [99, 31] Generated Node #3: [99, 31] from Operation: 52-21=31 Current State: 68:[99, 31], Operations: ['45+54=99', '52-21=31'] Exploring Operation: 99-31=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 60, 57, 7, 46 ]
59
[ "60-46=14", "14/7=2", "57+2=59" ]
Current State: 59:[60, 57, 7, 46], Operations: [] Exploring Operation: 60-46=14, Resulting Numbers: [57, 7, 14] Generated Node #2: [57, 7, 14] from Operation: 60-46=14 Current State: 59:[57, 7, 14], Operations: ['60-46=14'] Exploring Operation: 14/7=2, Resulting Numbers: [57, 2] Generated Node #3: [57, 2] from Operation: 14/7=2 Current State: 59:[57, 2], Operations: ['60-46=14', '14/7=2'] Exploring Operation: 57+2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 87, 82, 2, 26 ]
72
[ "87+26=113", "82/2=41", "113-41=72" ]
Current State: 72:[87, 82, 2, 26], Operations: [] Exploring Operation: 87+26=113, Resulting Numbers: [82, 2, 113] Generated Node #2: [82, 2, 113] from Operation: 87+26=113 Current State: 72:[82, 2, 113], Operations: ['87+26=113'] Exploring Operation: 82/2=41, Resulting Numbers: [113, 41] Generated Node #3: [113, 41] from Operation: 82/2=41 Current State: 72:[113, 41], Operations: ['87+26=113', '82/2=41'] Exploring Operation: 113-41=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 94, 19, 35, 51 ]
11
[ "94-19=75", "35+51=86", "86-75=11" ]
Current State: 11:[94, 19, 35, 51], Operations: [] Exploring Operation: 94-19=75, Resulting Numbers: [35, 51, 75] Generated Node #2: [35, 51, 75] from Operation: 94-19=75 Current State: 11:[35, 51, 75], Operations: ['94-19=75'] Exploring Operation: 35+51=86, Resulting Numbers: [75, 86] Generated Node #3: [75, 86] from Operation: 35+51=86 Current State: 11:[75, 86], Operations: ['94-19=75', '35+51=86'] Exploring Operation: 86-75=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 56, 80, 23, 26 ]
21
[ "80-56=24", "26-23=3", "24-3=21" ]
Current State: 21:[56, 80, 23, 26], Operations: [] Exploring Operation: 80-56=24, Resulting Numbers: [23, 26, 24] Generated Node #2: [23, 26, 24] from Operation: 80-56=24 Current State: 21:[23, 26, 24], Operations: ['80-56=24'] Exploring Operation: 26-23=3, Resulting Numbers: [24, 3] Generated Node #3: [24, 3] from Operation: 26-23=3 Current State: 21:[24, 3], Operations: ['80-56=24', '26-23=3'] Exploring Operation: 24-3=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 74, 35, 67, 34 ]
76
[ "74+35=109", "67-34=33", "109-33=76" ]
Current State: 76:[74, 35, 67, 34], Operations: [] Exploring Operation: 74+35=109, Resulting Numbers: [67, 34, 109] Generated Node #2: [67, 34, 109] from Operation: 74+35=109 Current State: 76:[67, 34, 109], Operations: ['74+35=109'] Exploring Operation: 67-34=33, Resulting Numbers: [109, 33] Generated Node #3: [109, 33] from Operation: 67-34=33 Current State: 76:[109, 33], Operations: ['74+35=109', '67-34=33'] Exploring Operation: 109-33=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4