nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 61, 50, 51, 55 ]
56
[ "61-50=11", "55/11=5", "51+5=56" ]
Current State: 56:[61, 50, 51, 55], Operations: [] Exploring Operation: 61-50=11, Resulting Numbers: [51, 55, 11] Generated Node #2: [51, 55, 11] from Operation: 61-50=11 Current State: 56:[51, 55, 11], Operations: ['61-50=11'] Exploring Operation: 55/11=5, Resulting Numbers: [51, 5] Generated Node #3: [51, 5] from Operation: 55/11=5 Current State: 56:[51, 5], Operations: ['61-50=11', '55/11=5'] Exploring Operation: 51+5=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 27, 29, 36, 48 ]
60
[ "29-27=2", "48*2=96", "96-36=60" ]
Current State: 60:[27, 29, 36, 48], Operations: [] Exploring Operation: 29-27=2, Resulting Numbers: [36, 48, 2] Generated Node #2: [36, 48, 2] from Operation: 29-27=2 Current State: 60:[36, 48, 2], Operations: ['29-27=2'] Exploring Operation: 48*2=96, Resulting Numbers: [36, 96] Generated Node #3: [36, 96] from Operation: 48*2=96 Current State: 60:[36, 96], Operations: ['29-27=2', '48*2=96'] Exploring Operation: 96-36=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 47, 3, 13, 3 ]
47
[ "3-3=0", "13*0=0", "47+0=47" ]
Current State: 47:[47, 3, 13, 3], Operations: [] Exploring Operation: 3-3=0, Resulting Numbers: [47, 13, 0] Generated Node #2: [47, 13, 0] from Operation: 3-3=0 Current State: 47:[47, 13, 0], Operations: ['3-3=0'] Exploring Operation: 13*0=0, Resulting Numbers: [47, 0] Generated Node #3: [47, 0] from Operation: 13*0=0 Current State: 47:[47, 0], Operations: ['3-3=0', '13*0=0'] Exploring Operation: 47+0=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 20, 48, 36, 76 ]
79
[ "36-20=16", "48/16=3", "76+3=79" ]
Current State: 79:[20, 48, 36, 76], Operations: [] Exploring Operation: 36-20=16, Resulting Numbers: [48, 76, 16] Generated Node #2: [48, 76, 16] from Operation: 36-20=16 Current State: 79:[48, 76, 16], Operations: ['36-20=16'] Exploring Operation: 48/16=3, Resulting Numbers: [76, 3] Generated Node #3: [76, 3] from Operation: 48/16=3 Current State: 79:[76, 3], Operations: ['36-20=16', '48/16=3'] Exploring Operation: 76+3=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 20, 13, 18, 65 ]
39
[ "20-18=2", "13+65=78", "78/2=39" ]
Current State: 39:[20, 13, 18, 65], Operations: [] Exploring Operation: 20-18=2, Resulting Numbers: [13, 65, 2] Generated Node #2: [13, 65, 2] from Operation: 20-18=2 Current State: 39:[13, 65, 2], Operations: ['20-18=2'] Exploring Operation: 13+65=78, Resulting Numbers: [2, 78] Generated Node #3: [2, 78] from Operation: 13+65=78 Current State: 39:[2, 78], Operations: ['20-18=2', '13+65=78'] Exploring Operation: 78/2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 92, 35, 57, 31 ]
31
[ "92-35=57", "57+31=88", "88-57=31" ]
Current State: 31:[92, 35, 57, 31], Operations: [] Exploring Operation: 92-35=57, Resulting Numbers: [57, 31, 57] Generated Node #2: [57, 31, 57] from Operation: 92-35=57 Current State: 31:[57, 31, 57], Operations: ['92-35=57'] Exploring Operation: 57+31=88, Resulting Numbers: [88] 88,31 equal: Goal Reached Exploring Operation: 88-57=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 10, 30, 7, 67 ]
88
[ "30/10=3", "7*3=21", "67+21=88" ]
Current State: 88:[10, 30, 7, 67], Operations: [] Exploring Operation: 30/10=3, Resulting Numbers: [7, 67, 3] Generated Node #2: [7, 67, 3] from Operation: 30/10=3 Current State: 88:[7, 67, 3], Operations: ['30/10=3'] Exploring Operation: 7*3=21, Resulting Numbers: [67, 21] Generated Node #3: [67, 21] from Operation: 7*3=21 Current State: 88:[67, 21], Operations: ['30/10=3', '7*3=21'] Exploring Operation: 67+21=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 56, 14, 70, 91 ]
100
[ "56+70=126", "126/14=9", "91+9=100" ]
Current State: 100:[56, 14, 70, 91], Operations: [] Exploring Operation: 56+70=126, Resulting Numbers: [14, 91, 126] Generated Node #2: [14, 91, 126] from Operation: 56+70=126 Current State: 100:[14, 91, 126], Operations: ['56+70=126'] Exploring Operation: 126/14=9, Resulting Numbers: [91, 9] Generated Node #3: [91, 9] from Operation: 126/14=9 Current State: 100:[91, 9], Operations: ['56+70=126', '126/14=9'] Exploring Operation: 91+9=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 23, 39, 17, 57 ]
85
[ "23+39=62", "62-57=5", "17*5=85" ]
Current State: 85:[23, 39, 17, 57], Operations: [] Exploring Operation: 23+39=62, Resulting Numbers: [17, 57, 62] Generated Node #2: [17, 57, 62] from Operation: 23+39=62 Current State: 85:[17, 57, 62], Operations: ['23+39=62'] Exploring Operation: 62-57=5, Resulting Numbers: [17, 5] Generated Node #3: [17, 5] from Operation: 62-57=5 Current State: 85:[17, 5], Operations: ['23+39=62', '62-57=5'] Exploring Operation: 17*5=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 5, 81, 9, 34 ]
61
[ "5+81=86", "34-9=25", "86-25=61" ]
Current State: 61:[5, 81, 9, 34], Operations: [] Exploring Operation: 5+81=86, Resulting Numbers: [9, 34, 86] Generated Node #2: [9, 34, 86] from Operation: 5+81=86 Current State: 61:[9, 34, 86], Operations: ['5+81=86'] Exploring Operation: 34-9=25, Resulting Numbers: [86, 25] Generated Node #3: [86, 25] from Operation: 34-9=25 Current State: 61:[86, 25], Operations: ['5+81=86', '34-9=25'] Exploring Operation: 86-25=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 76, 53, 41, 99 ]
81
[ "76-53=23", "99-41=58", "23+58=81" ]
Current State: 81:[76, 53, 41, 99], Operations: [] Exploring Operation: 76-53=23, Resulting Numbers: [41, 99, 23] Generated Node #2: [41, 99, 23] from Operation: 76-53=23 Current State: 81:[41, 99, 23], Operations: ['76-53=23'] Exploring Operation: 99-41=58, Resulting Numbers: [23, 58] Generated Node #3: [23, 58] from Operation: 99-41=58 Current State: 81:[23, 58], Operations: ['76-53=23', '99-41=58'] Exploring Operation: 23+58=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 42, 51, 35, 75 ]
53
[ "42+51=93", "75-35=40", "93-40=53" ]
Current State: 53:[42, 51, 35, 75], Operations: [] Exploring Operation: 42+51=93, Resulting Numbers: [35, 75, 93] Generated Node #2: [35, 75, 93] from Operation: 42+51=93 Current State: 53:[35, 75, 93], Operations: ['42+51=93'] Exploring Operation: 75-35=40, Resulting Numbers: [93, 40] Generated Node #3: [93, 40] from Operation: 75-35=40 Current State: 53:[93, 40], Operations: ['42+51=93', '75-35=40'] Exploring Operation: 93-40=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 77, 8, 39, 62 ]
62
[ "77+8=85", "62-39=23", "85-23=62" ]
Current State: 62:[77, 8, 39, 62], Operations: [] Exploring Operation: 77+8=85, Resulting Numbers: [39, 62, 85] Generated Node #2: [39, 62, 85] from Operation: 77+8=85 Current State: 62:[39, 62, 85], Operations: ['77+8=85'] Exploring Operation: 62-39=23, Resulting Numbers: [85, 23] Generated Node #3: [85, 23] from Operation: 62-39=23 Current State: 62:[85, 23], Operations: ['77+8=85', '62-39=23'] Exploring Operation: 85-23=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 39, 29, 42, 82 ]
56
[ "39+29=68", "42+82=124", "124-68=56" ]
Current State: 56:[39, 29, 42, 82], Operations: [] Exploring Operation: 39+29=68, Resulting Numbers: [42, 82, 68] Generated Node #2: [42, 82, 68] from Operation: 39+29=68 Current State: 56:[42, 82, 68], Operations: ['39+29=68'] Exploring Operation: 42+82=124, Resulting Numbers: [68, 124] Generated Node #3: [68, 124] from Operation: 42+82=124 Current State: 56:[68, 124], Operations: ['39+29=68', '42+82=124'] Exploring Operation: 124-68=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 93, 88, 70, 15 ]
50
[ "93-88=5", "70-15=55", "55-5=50" ]
Current State: 50:[93, 88, 70, 15], Operations: [] Exploring Operation: 93-88=5, Resulting Numbers: [70, 15, 5] Generated Node #2: [70, 15, 5] from Operation: 93-88=5 Current State: 50:[70, 15, 5], Operations: ['93-88=5'] Exploring Operation: 70-15=55, Resulting Numbers: [5, 55] Generated Node #3: [5, 55] from Operation: 70-15=55 Current State: 50:[5, 55], Operations: ['93-88=5', '70-15=55'] Exploring Operation: 55-5=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 17, 97, 84, 57 ]
53
[ "97-17=80", "84-57=27", "80-27=53" ]
Current State: 53:[17, 97, 84, 57], Operations: [] Exploring Operation: 97-17=80, Resulting Numbers: [84, 57, 80] Generated Node #2: [84, 57, 80] from Operation: 97-17=80 Current State: 53:[84, 57, 80], Operations: ['97-17=80'] Exploring Operation: 84-57=27, Resulting Numbers: [80, 27] Generated Node #3: [80, 27] from Operation: 84-57=27 Current State: 53:[80, 27], Operations: ['97-17=80', '84-57=27'] Exploring Operation: 80-27=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 60, 23, 78, 7 ]
80
[ "23+7=30", "60/30=2", "78+2=80" ]
Current State: 80:[60, 23, 78, 7], Operations: [] Exploring Operation: 23+7=30, Resulting Numbers: [60, 78, 30] Generated Node #2: [60, 78, 30] from Operation: 23+7=30 Current State: 80:[60, 78, 30], Operations: ['23+7=30'] Exploring Operation: 60/30=2, Resulting Numbers: [78, 2] Generated Node #3: [78, 2] from Operation: 60/30=2 Current State: 80:[78, 2], Operations: ['23+7=30', '60/30=2'] Exploring Operation: 78+2=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 90, 95, 37, 43 ]
16
[ "95-90=5", "37+43=80", "80/5=16" ]
Current State: 16:[90, 95, 37, 43], Operations: [] Exploring Operation: 95-90=5, Resulting Numbers: [37, 43, 5] Generated Node #2: [37, 43, 5] from Operation: 95-90=5 Current State: 16:[37, 43, 5], Operations: ['95-90=5'] Exploring Operation: 37+43=80, Resulting Numbers: [5, 80] Generated Node #3: [5, 80] from Operation: 37+43=80 Current State: 16:[5, 80], Operations: ['95-90=5', '37+43=80'] Exploring Operation: 80/5=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 30, 75, 47, 62 ]
35
[ "62-47=15", "75/15=5", "30+5=35" ]
Current State: 35:[30, 75, 47, 62], Operations: [] Exploring Operation: 62-47=15, Resulting Numbers: [30, 75, 15] Generated Node #2: [30, 75, 15] from Operation: 62-47=15 Current State: 35:[30, 75, 15], Operations: ['62-47=15'] Exploring Operation: 75/15=5, Resulting Numbers: [30, 5] Generated Node #3: [30, 5] from Operation: 75/15=5 Current State: 35:[30, 5], Operations: ['62-47=15', '75/15=5'] Exploring Operation: 30+5=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 33, 93, 22, 4 ]
26
[ "33+93=126", "126-22=104", "104/4=26" ]
Current State: 26:[33, 93, 22, 4], Operations: [] Exploring Operation: 33+93=126, Resulting Numbers: [22, 4, 126] Generated Node #2: [22, 4, 126] from Operation: 33+93=126 Current State: 26:[22, 4, 126], Operations: ['33+93=126'] Exploring Operation: 126-22=104, Resulting Numbers: [4, 104] Generated Node #3: [4, 104] from Operation: 126-22=104 Current State: 26:[4, 104], Operations: ['33+93=126', '126-22=104'] Exploring Operation: 104/4=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 78, 73, 66, 77 ]
67
[ "73-66=7", "77/7=11", "78-11=67" ]
Current State: 67:[78, 73, 66, 77], Operations: [] Exploring Operation: 73-66=7, Resulting Numbers: [78, 77, 7] Generated Node #2: [78, 77, 7] from Operation: 73-66=7 Current State: 67:[78, 77, 7], Operations: ['73-66=7'] Exploring Operation: 77/7=11, Resulting Numbers: [78, 11] Generated Node #3: [78, 11] from Operation: 77/7=11 Current State: 67:[78, 11], Operations: ['73-66=7', '77/7=11'] Exploring Operation: 78-11=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 24, 83, 12, 22 ]
69
[ "83-24=59", "22-12=10", "59+10=69" ]
Current State: 69:[24, 83, 12, 22], Operations: [] Exploring Operation: 83-24=59, Resulting Numbers: [12, 22, 59] Generated Node #2: [12, 22, 59] from Operation: 83-24=59 Current State: 69:[12, 22, 59], Operations: ['83-24=59'] Exploring Operation: 22-12=10, Resulting Numbers: [59, 10] Generated Node #3: [59, 10] from Operation: 22-12=10 Current State: 69:[59, 10], Operations: ['83-24=59', '22-12=10'] Exploring Operation: 59+10=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 31, 76, 15, 45 ]
15
[ "76-31=45", "15+45=60", "60-45=15" ]
Current State: 15:[31, 76, 15, 45], Operations: [] Exploring Operation: 76-31=45, Resulting Numbers: [15, 45, 45] Generated Node #2: [15, 45, 45] from Operation: 76-31=45 Current State: 15:[15, 45, 45], Operations: ['76-31=45'] Exploring Operation: 15+45=60, Resulting Numbers: [60] 60,15 equal: Goal Reached Exploring Operation: 60-45=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 2, 94, 43, 50 ]
92
[ "43+50=93", "2*93=186", "186-94=92" ]
Current State: 92:[2, 94, 43, 50], Operations: [] Exploring Operation: 43+50=93, Resulting Numbers: [2, 94, 93] Generated Node #2: [2, 94, 93] from Operation: 43+50=93 Current State: 92:[2, 94, 93], Operations: ['43+50=93'] Exploring Operation: 2*93=186, Resulting Numbers: [94, 186] Generated Node #3: [94, 186] from Operation: 2*93=186 Current State: 92:[94, 186], Operations: ['43+50=93', '2*93=186'] Exploring Operation: 186-94=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 24, 39, 40, 29 ]
26
[ "39-24=15", "40-29=11", "15+11=26" ]
Current State: 26:[24, 39, 40, 29], Operations: [] Exploring Operation: 39-24=15, Resulting Numbers: [40, 29, 15] Generated Node #2: [40, 29, 15] from Operation: 39-24=15 Current State: 26:[40, 29, 15], Operations: ['39-24=15'] Exploring Operation: 40-29=11, Resulting Numbers: [15, 11] Generated Node #3: [15, 11] from Operation: 40-29=11 Current State: 26:[15, 11], Operations: ['39-24=15', '40-29=11'] Exploring Operation: 15+11=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 58, 22, 41, 65 ]
25
[ "58+65=123", "123/41=3", "22+3=25" ]
Current State: 25:[58, 22, 41, 65], Operations: [] Exploring Operation: 58+65=123, Resulting Numbers: [22, 41, 123] Generated Node #2: [22, 41, 123] from Operation: 58+65=123 Current State: 25:[22, 41, 123], Operations: ['58+65=123'] Exploring Operation: 123/41=3, Resulting Numbers: [22, 3] Generated Node #3: [22, 3] from Operation: 123/41=3 Current State: 25:[22, 3], Operations: ['58+65=123', '123/41=3'] Exploring Operation: 22+3=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 42, 33, 32, 29 ]
50
[ "33-29=4", "32/4=8", "42+8=50" ]
Current State: 50:[42, 33, 32, 29], Operations: [] Exploring Operation: 33-29=4, Resulting Numbers: [42, 32, 4] Generated Node #2: [42, 32, 4] from Operation: 33-29=4 Current State: 50:[42, 32, 4], Operations: ['33-29=4'] Exploring Operation: 32/4=8, Resulting Numbers: [42, 8] Generated Node #3: [42, 8] from Operation: 32/4=8 Current State: 50:[42, 8], Operations: ['33-29=4', '32/4=8'] Exploring Operation: 42+8=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 83, 3, 40, 52 ]
11
[ "83+40=123", "123/3=41", "52-41=11" ]
Current State: 11:[83, 3, 40, 52], Operations: [] Exploring Operation: 83+40=123, Resulting Numbers: [3, 52, 123] Generated Node #2: [3, 52, 123] from Operation: 83+40=123 Current State: 11:[3, 52, 123], Operations: ['83+40=123'] Exploring Operation: 123/3=41, Resulting Numbers: [52, 41] Generated Node #3: [52, 41] from Operation: 123/3=41 Current State: 11:[52, 41], Operations: ['83+40=123', '123/3=41'] Exploring Operation: 52-41=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 44, 96, 40, 26 ]
66
[ "96-44=52", "40-26=14", "52+14=66" ]
Current State: 66:[44, 96, 40, 26], Operations: [] Exploring Operation: 96-44=52, Resulting Numbers: [40, 26, 52] Generated Node #2: [40, 26, 52] from Operation: 96-44=52 Current State: 66:[40, 26, 52], Operations: ['96-44=52'] Exploring Operation: 40-26=14, Resulting Numbers: [52, 14] Generated Node #3: [52, 14] from Operation: 40-26=14 Current State: 66:[52, 14], Operations: ['96-44=52', '40-26=14'] Exploring Operation: 52+14=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 53, 78, 4, 38 ]
89
[ "53+78=131", "4+38=42", "131-42=89" ]
Current State: 89:[53, 78, 4, 38], Operations: [] Exploring Operation: 53+78=131, Resulting Numbers: [4, 38, 131] Generated Node #2: [4, 38, 131] from Operation: 53+78=131 Current State: 89:[4, 38, 131], Operations: ['53+78=131'] Exploring Operation: 4+38=42, Resulting Numbers: [131, 42] Generated Node #3: [131, 42] from Operation: 4+38=42 Current State: 89:[131, 42], Operations: ['53+78=131', '4+38=42'] Exploring Operation: 131-42=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 41, 98, 8, 2 ]
67
[ "98-41=57", "8+2=10", "57+10=67" ]
Current State: 67:[41, 98, 8, 2], Operations: [] Exploring Operation: 98-41=57, Resulting Numbers: [8, 2, 57] Generated Node #2: [8, 2, 57] from Operation: 98-41=57 Current State: 67:[8, 2, 57], Operations: ['98-41=57'] Exploring Operation: 8+2=10, Resulting Numbers: [57, 10] Generated Node #3: [57, 10] from Operation: 8+2=10 Current State: 67:[57, 10], Operations: ['98-41=57', '8+2=10'] Exploring Operation: 57+10=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 91, 21, 10, 69 ]
37
[ "91+69=160", "160/10=16", "21+16=37" ]
Current State: 37:[91, 21, 10, 69], Operations: [] Exploring Operation: 91+69=160, Resulting Numbers: [21, 10, 160] Generated Node #2: [21, 10, 160] from Operation: 91+69=160 Current State: 37:[21, 10, 160], Operations: ['91+69=160'] Exploring Operation: 160/10=16, Resulting Numbers: [21, 16] Generated Node #3: [21, 16] from Operation: 160/10=16 Current State: 37:[21, 16], Operations: ['91+69=160', '160/10=16'] Exploring Operation: 21+16=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 90, 14, 15, 2 ]
32
[ "14+15=29", "2*29=58", "90-58=32" ]
Current State: 32:[90, 14, 15, 2], Operations: [] Exploring Operation: 14+15=29, Resulting Numbers: [90, 2, 29] Generated Node #2: [90, 2, 29] from Operation: 14+15=29 Current State: 32:[90, 2, 29], Operations: ['14+15=29'] Exploring Operation: 2*29=58, Resulting Numbers: [90, 58] Generated Node #3: [90, 58] from Operation: 2*29=58 Current State: 32:[90, 58], Operations: ['14+15=29', '2*29=58'] Exploring Operation: 90-58=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 17, 49, 70, 27 ]
23
[ "17+49=66", "70-27=43", "66-43=23" ]
Current State: 23:[17, 49, 70, 27], Operations: [] Exploring Operation: 17+49=66, Resulting Numbers: [70, 27, 66] Generated Node #2: [70, 27, 66] from Operation: 17+49=66 Current State: 23:[70, 27, 66], Operations: ['17+49=66'] Exploring Operation: 70-27=43, Resulting Numbers: [66, 43] Generated Node #3: [66, 43] from Operation: 70-27=43 Current State: 23:[66, 43], Operations: ['17+49=66', '70-27=43'] Exploring Operation: 66-43=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 72, 80, 13, 35 ]
40
[ "80-72=8", "13+35=48", "48-8=40" ]
Current State: 40:[72, 80, 13, 35], Operations: [] Exploring Operation: 80-72=8, Resulting Numbers: [13, 35, 8] Generated Node #2: [13, 35, 8] from Operation: 80-72=8 Current State: 40:[13, 35, 8], Operations: ['80-72=8'] Exploring Operation: 13+35=48, Resulting Numbers: [8, 48] Generated Node #3: [8, 48] from Operation: 13+35=48 Current State: 40:[8, 48], Operations: ['80-72=8', '13+35=48'] Exploring Operation: 48-8=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 22, 6, 23, 46 ]
92
[ "22*23=506", "46+506=552", "552/6=92" ]
Current State: 92:[22, 6, 23, 46], Operations: [] Exploring Operation: 22*23=506, Resulting Numbers: [6, 46, 506] Generated Node #2: [6, 46, 506] from Operation: 22*23=506 Current State: 92:[6, 46, 506], Operations: ['22*23=506'] Exploring Operation: 46+506=552, Resulting Numbers: [6, 552] Generated Node #3: [6, 552] from Operation: 46+506=552 Current State: 92:[6, 552], Operations: ['22*23=506', '46+506=552'] Exploring Operation: 552/6=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 5, 46, 79, 77 ]
49
[ "5+46=51", "79-77=2", "51-2=49" ]
Current State: 49:[5, 46, 79, 77], Operations: [] Exploring Operation: 5+46=51, Resulting Numbers: [79, 77, 51] Generated Node #2: [79, 77, 51] from Operation: 5+46=51 Current State: 49:[79, 77, 51], Operations: ['5+46=51'] Exploring Operation: 79-77=2, Resulting Numbers: [51, 2] Generated Node #3: [51, 2] from Operation: 79-77=2 Current State: 49:[51, 2], Operations: ['5+46=51', '79-77=2'] Exploring Operation: 51-2=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 28, 98, 15, 3 ]
88
[ "98-28=70", "15+3=18", "70+18=88" ]
Current State: 88:[28, 98, 15, 3], Operations: [] Exploring Operation: 98-28=70, Resulting Numbers: [15, 3, 70] Generated Node #2: [15, 3, 70] from Operation: 98-28=70 Current State: 88:[15, 3, 70], Operations: ['98-28=70'] Exploring Operation: 15+3=18, Resulting Numbers: [70, 18] Generated Node #3: [70, 18] from Operation: 15+3=18 Current State: 88:[70, 18], Operations: ['98-28=70', '15+3=18'] Exploring Operation: 70+18=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 93, 38, 18, 69 ]
80
[ "93+38=131", "69-18=51", "131-51=80" ]
Current State: 80:[93, 38, 18, 69], Operations: [] Exploring Operation: 93+38=131, Resulting Numbers: [18, 69, 131] Generated Node #2: [18, 69, 131] from Operation: 93+38=131 Current State: 80:[18, 69, 131], Operations: ['93+38=131'] Exploring Operation: 69-18=51, Resulting Numbers: [131, 51] Generated Node #3: [131, 51] from Operation: 69-18=51 Current State: 80:[131, 51], Operations: ['93+38=131', '69-18=51'] Exploring Operation: 131-51=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 56, 34, 51, 39 ]
53
[ "56-39=17", "34/17=2", "51+2=53" ]
Current State: 53:[56, 34, 51, 39], Operations: [] Exploring Operation: 56-39=17, Resulting Numbers: [34, 51, 17] Generated Node #2: [34, 51, 17] from Operation: 56-39=17 Current State: 53:[34, 51, 17], Operations: ['56-39=17'] Exploring Operation: 34/17=2, Resulting Numbers: [51, 2] Generated Node #3: [51, 2] from Operation: 34/17=2 Current State: 53:[51, 2], Operations: ['56-39=17', '34/17=2'] Exploring Operation: 51+2=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 17, 3, 98, 24 ]
54
[ "17+3=20", "98-24=74", "74-20=54" ]
Current State: 54:[17, 3, 98, 24], Operations: [] Exploring Operation: 17+3=20, Resulting Numbers: [98, 24, 20] Generated Node #2: [98, 24, 20] from Operation: 17+3=20 Current State: 54:[98, 24, 20], Operations: ['17+3=20'] Exploring Operation: 98-24=74, Resulting Numbers: [20, 74] Generated Node #3: [20, 74] from Operation: 98-24=74 Current State: 54:[20, 74], Operations: ['17+3=20', '98-24=74'] Exploring Operation: 74-20=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 45, 4, 36, 93 ]
96
[ "93-45=48", "4*36=144", "144-48=96" ]
Current State: 96:[45, 4, 36, 93], Operations: [] Exploring Operation: 93-45=48, Resulting Numbers: [4, 36, 48] Generated Node #2: [4, 36, 48] from Operation: 93-45=48 Current State: 96:[4, 36, 48], Operations: ['93-45=48'] Exploring Operation: 4*36=144, Resulting Numbers: [48, 144] Generated Node #3: [48, 144] from Operation: 4*36=144 Current State: 96:[48, 144], Operations: ['93-45=48', '4*36=144'] Exploring Operation: 144-48=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 25, 4, 76, 75 ]
77
[ "75/25=3", "4+76=80", "80-3=77" ]
Current State: 77:[25, 4, 76, 75], Operations: [] Exploring Operation: 75/25=3, Resulting Numbers: [4, 76, 3] Generated Node #2: [4, 76, 3] from Operation: 75/25=3 Current State: 77:[4, 76, 3], Operations: ['75/25=3'] Exploring Operation: 4+76=80, Resulting Numbers: [3, 80] Generated Node #3: [3, 80] from Operation: 4+76=80 Current State: 77:[3, 80], Operations: ['75/25=3', '4+76=80'] Exploring Operation: 80-3=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 71, 73, 1, 17 ]
20
[ "73-71=2", "1+17=18", "2+18=20" ]
Current State: 20:[71, 73, 1, 17], Operations: [] Exploring Operation: 73-71=2, Resulting Numbers: [1, 17, 2] Generated Node #2: [1, 17, 2] from Operation: 73-71=2 Current State: 20:[1, 17, 2], Operations: ['73-71=2'] Exploring Operation: 1+17=18, Resulting Numbers: [2, 18] Generated Node #3: [2, 18] from Operation: 1+17=18 Current State: 20:[2, 18], Operations: ['73-71=2', '1+17=18'] Exploring Operation: 2+18=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 24, 20, 25, 35 ]
16
[ "24+20=44", "25+35=60", "60-44=16" ]
Current State: 16:[24, 20, 25, 35], Operations: [] Exploring Operation: 24+20=44, Resulting Numbers: [25, 35, 44] Generated Node #2: [25, 35, 44] from Operation: 24+20=44 Current State: 16:[25, 35, 44], Operations: ['24+20=44'] Exploring Operation: 25+35=60, Resulting Numbers: [44, 60] Generated Node #3: [44, 60] from Operation: 25+35=60 Current State: 16:[44, 60], Operations: ['24+20=44', '25+35=60'] Exploring Operation: 60-44=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 53, 27, 75, 29 ]
97
[ "29-27=2", "75*2=150", "150-53=97" ]
Current State: 97:[53, 27, 75, 29], Operations: [] Exploring Operation: 29-27=2, Resulting Numbers: [53, 75, 2] Generated Node #2: [53, 75, 2] from Operation: 29-27=2 Current State: 97:[53, 75, 2], Operations: ['29-27=2'] Exploring Operation: 75*2=150, Resulting Numbers: [53, 150] Generated Node #3: [53, 150] from Operation: 75*2=150 Current State: 97:[53, 150], Operations: ['29-27=2', '75*2=150'] Exploring Operation: 150-53=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 22, 98, 17, 13 ]
17
[ "22-17=5", "98-13=85", "85/5=17" ]
Current State: 17:[22, 98, 17, 13], Operations: [] Exploring Operation: 22-17=5, Resulting Numbers: [98, 13, 5] Generated Node #2: [98, 13, 5] from Operation: 22-17=5 Current State: 17:[98, 13, 5], Operations: ['22-17=5'] Exploring Operation: 98-13=85, Resulting Numbers: [5, 85] Generated Node #3: [5, 85] from Operation: 98-13=85 Current State: 17:[5, 85], Operations: ['22-17=5', '98-13=85'] Exploring Operation: 85/5=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 72, 71, 78, 66 ]
85
[ "71*78=5538", "72+5538=5610", "5610/66=85" ]
Current State: 85:[72, 71, 78, 66], Operations: [] Exploring Operation: 71*78=5538, Resulting Numbers: [72, 66, 5538] Generated Node #2: [72, 66, 5538] from Operation: 71*78=5538 Current State: 85:[72, 66, 5538], Operations: ['71*78=5538'] Exploring Operation: 72+5538=5610, Resulting Numbers: [66, 5610] Generated Node #3: [66, 5610] from Operation: 72+5538=5610 Current State: 85:[66, 5610], Operations: ['71*78=5538', '72+5538=5610'] Exploring Operation: 5610/66=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 81, 47, 79, 79 ]
64
[ "81-79=2", "79-47=32", "2*32=64" ]
Current State: 64:[81, 47, 79, 79], Operations: [] Exploring Operation: 81-79=2, Resulting Numbers: [47, 2] Generated Node #2: [47, 2] from Operation: 81-79=2 Current State: 64:[47, 2], Operations: ['81-79=2'] Exploring Operation: 79-47=32, Resulting Numbers: [2, 32] Generated Node #3: [2, 32] from Operation: 79-47=32 Current State: 64:[2, 32], Operations: ['81-79=2', '79-47=32'] Exploring Operation: 2*32=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 69, 2, 69, 21 ]
22
[ "69/69=1", "2+21=23", "23-1=22" ]
Current State: 22:[69, 2, 69, 21], Operations: [] Exploring Operation: 69/69=1, Resulting Numbers: [2, 21, 1] Generated Node #2: [2, 21, 1] from Operation: 69/69=1 Current State: 22:[2, 21, 1], Operations: ['69/69=1'] Exploring Operation: 2+21=23, Resulting Numbers: [1, 23] Generated Node #3: [1, 23] from Operation: 2+21=23 Current State: 22:[1, 23], Operations: ['69/69=1', '2+21=23'] Exploring Operation: 23-1=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 17, 12, 73, 19 ]
25
[ "17+12=29", "73-19=54", "54-29=25" ]
Current State: 25:[17, 12, 73, 19], Operations: [] Exploring Operation: 17+12=29, Resulting Numbers: [73, 19, 29] Generated Node #2: [73, 19, 29] from Operation: 17+12=29 Current State: 25:[73, 19, 29], Operations: ['17+12=29'] Exploring Operation: 73-19=54, Resulting Numbers: [29, 54] Generated Node #3: [29, 54] from Operation: 73-19=54 Current State: 25:[29, 54], Operations: ['17+12=29', '73-19=54'] Exploring Operation: 54-29=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 3, 61, 77, 91 ]
78
[ "3+61=64", "91-77=14", "64+14=78" ]
Current State: 78:[3, 61, 77, 91], Operations: [] Exploring Operation: 3+61=64, Resulting Numbers: [77, 91, 64] Generated Node #2: [77, 91, 64] from Operation: 3+61=64 Current State: 78:[77, 91, 64], Operations: ['3+61=64'] Exploring Operation: 91-77=14, Resulting Numbers: [64, 14] Generated Node #3: [64, 14] from Operation: 91-77=14 Current State: 78:[64, 14], Operations: ['3+61=64', '91-77=14'] Exploring Operation: 64+14=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 34, 94, 93, 88 ]
65
[ "94-34=60", "93-88=5", "60+5=65" ]
Current State: 65:[34, 94, 93, 88], Operations: [] Exploring Operation: 94-34=60, Resulting Numbers: [93, 88, 60] Generated Node #2: [93, 88, 60] from Operation: 94-34=60 Current State: 65:[93, 88, 60], Operations: ['94-34=60'] Exploring Operation: 93-88=5, Resulting Numbers: [60, 5] Generated Node #3: [60, 5] from Operation: 93-88=5 Current State: 65:[60, 5], Operations: ['94-34=60', '93-88=5'] Exploring Operation: 60+5=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 50, 53, 49, 31 ]
21
[ "53-50=3", "49-31=18", "3+18=21" ]
Current State: 21:[50, 53, 49, 31], Operations: [] Exploring Operation: 53-50=3, Resulting Numbers: [49, 31, 3] Generated Node #2: [49, 31, 3] from Operation: 53-50=3 Current State: 21:[49, 31, 3], Operations: ['53-50=3'] Exploring Operation: 49-31=18, Resulting Numbers: [3, 18] Generated Node #3: [3, 18] from Operation: 49-31=18 Current State: 21:[3, 18], Operations: ['53-50=3', '49-31=18'] Exploring Operation: 3+18=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 18, 34, 54, 40 ]
36
[ "18*40=720", "54-34=20", "720/20=36" ]
Current State: 36:[18, 34, 54, 40], Operations: [] Exploring Operation: 18*40=720, Resulting Numbers: [34, 54, 720] Generated Node #2: [34, 54, 720] from Operation: 18*40=720 Current State: 36:[34, 54, 720], Operations: ['18*40=720'] Exploring Operation: 54-34=20, Resulting Numbers: [720, 20] Generated Node #3: [720, 20] from Operation: 54-34=20 Current State: 36:[720, 20], Operations: ['18*40=720', '54-34=20'] Exploring Operation: 720/20=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 42, 94, 56, 89 ]
93
[ "94-42=52", "56+89=145", "145-52=93" ]
Current State: 93:[42, 94, 56, 89], Operations: [] Exploring Operation: 94-42=52, Resulting Numbers: [56, 89, 52] Generated Node #2: [56, 89, 52] from Operation: 94-42=52 Current State: 93:[56, 89, 52], Operations: ['94-42=52'] Exploring Operation: 56+89=145, Resulting Numbers: [52, 145] Generated Node #3: [52, 145] from Operation: 56+89=145 Current State: 93:[52, 145], Operations: ['94-42=52', '56+89=145'] Exploring Operation: 145-52=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 4, 83, 4, 17 ]
26
[ "4+83=87", "17+87=104", "104/4=26" ]
Current State: 26:[4, 83, 4, 17], Operations: [] Exploring Operation: 4+83=87, Resulting Numbers: [17, 87] Generated Node #2: [17, 87] from Operation: 4+83=87 Current State: 26:[17, 87], Operations: ['4+83=87'] Exploring Operation: 17+87=104, Resulting Numbers: [104] 104,26 equal: Goal Reached Exploring Operation: 104/4=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 57, 74, 88, 21 ]
64
[ "57+74=131", "88-21=67", "131-67=64" ]
Current State: 64:[57, 74, 88, 21], Operations: [] Exploring Operation: 57+74=131, Resulting Numbers: [88, 21, 131] Generated Node #2: [88, 21, 131] from Operation: 57+74=131 Current State: 64:[88, 21, 131], Operations: ['57+74=131'] Exploring Operation: 88-21=67, Resulting Numbers: [131, 67] Generated Node #3: [131, 67] from Operation: 88-21=67 Current State: 64:[131, 67], Operations: ['57+74=131', '88-21=67'] Exploring Operation: 131-67=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 75, 35, 3, 1 ]
10
[ "75-35=40", "3+1=4", "40/4=10" ]
Current State: 10:[75, 35, 3, 1], Operations: [] Exploring Operation: 75-35=40, Resulting Numbers: [3, 1, 40] Generated Node #2: [3, 1, 40] from Operation: 75-35=40 Current State: 10:[3, 1, 40], Operations: ['75-35=40'] Exploring Operation: 3+1=4, Resulting Numbers: [40, 4] Generated Node #3: [40, 4] from Operation: 3+1=4 Current State: 10:[40, 4], Operations: ['75-35=40', '3+1=4'] Exploring Operation: 40/4=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 87, 27, 57, 25 ]
92
[ "87-27=60", "57-25=32", "60+32=92" ]
Current State: 92:[87, 27, 57, 25], Operations: [] Exploring Operation: 87-27=60, Resulting Numbers: [57, 25, 60] Generated Node #2: [57, 25, 60] from Operation: 87-27=60 Current State: 92:[57, 25, 60], Operations: ['87-27=60'] Exploring Operation: 57-25=32, Resulting Numbers: [60, 32] Generated Node #3: [60, 32] from Operation: 57-25=32 Current State: 92:[60, 32], Operations: ['87-27=60', '57-25=32'] Exploring Operation: 60+32=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 59, 20, 14, 73 ]
84
[ "59+20=79", "79-73=6", "14*6=84" ]
Current State: 84:[59, 20, 14, 73], Operations: [] Exploring Operation: 59+20=79, Resulting Numbers: [14, 73, 79] Generated Node #2: [14, 73, 79] from Operation: 59+20=79 Current State: 84:[14, 73, 79], Operations: ['59+20=79'] Exploring Operation: 79-73=6, Resulting Numbers: [14, 6] Generated Node #3: [14, 6] from Operation: 79-73=6 Current State: 84:[14, 6], Operations: ['59+20=79', '79-73=6'] Exploring Operation: 14*6=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 59, 69, 27, 60 ]
43
[ "69-59=10", "60-27=33", "10+33=43" ]
Current State: 43:[59, 69, 27, 60], Operations: [] Exploring Operation: 69-59=10, Resulting Numbers: [27, 60, 10] Generated Node #2: [27, 60, 10] from Operation: 69-59=10 Current State: 43:[27, 60, 10], Operations: ['69-59=10'] Exploring Operation: 60-27=33, Resulting Numbers: [10, 33] Generated Node #3: [10, 33] from Operation: 60-27=33 Current State: 43:[10, 33], Operations: ['69-59=10', '60-27=33'] Exploring Operation: 10+33=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 35, 1, 57, 4 ]
97
[ "35+1=36", "57+4=61", "36+61=97" ]
Current State: 97:[35, 1, 57, 4], Operations: [] Exploring Operation: 35+1=36, Resulting Numbers: [57, 4, 36] Generated Node #2: [57, 4, 36] from Operation: 35+1=36 Current State: 97:[57, 4, 36], Operations: ['35+1=36'] Exploring Operation: 57+4=61, Resulting Numbers: [36, 61] Generated Node #3: [36, 61] from Operation: 57+4=61 Current State: 97:[36, 61], Operations: ['35+1=36', '57+4=61'] Exploring Operation: 36+61=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 42, 14, 34, 6 ]
44
[ "34-6=28", "28/14=2", "42+2=44" ]
Current State: 44:[42, 14, 34, 6], Operations: [] Exploring Operation: 34-6=28, Resulting Numbers: [42, 14, 28] Generated Node #2: [42, 14, 28] from Operation: 34-6=28 Current State: 44:[42, 14, 28], Operations: ['34-6=28'] Exploring Operation: 28/14=2, Resulting Numbers: [42, 2] Generated Node #3: [42, 2] from Operation: 28/14=2 Current State: 44:[42, 2], Operations: ['34-6=28', '28/14=2'] Exploring Operation: 42+2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 49, 55, 1, 2 ]
13
[ "55-49=6", "2*6=12", "1+12=13" ]
Current State: 13:[49, 55, 1, 2], Operations: [] Exploring Operation: 55-49=6, Resulting Numbers: [1, 2, 6] Generated Node #2: [1, 2, 6] from Operation: 55-49=6 Current State: 13:[1, 2, 6], Operations: ['55-49=6'] Exploring Operation: 2*6=12, Resulting Numbers: [1, 12] Generated Node #3: [1, 12] from Operation: 2*6=12 Current State: 13:[1, 12], Operations: ['55-49=6', '2*6=12'] Exploring Operation: 1+12=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 6, 1, 29, 3 ]
87
[ "6*1=6", "6-3=3", "29*3=87" ]
Current State: 87:[6, 1, 29, 3], Operations: [] Exploring Operation: 6*1=6, Resulting Numbers: [29, 3, 6] Generated Node #2: [29, 3, 6] from Operation: 6*1=6 Current State: 87:[29, 3, 6], Operations: ['6*1=6'] Exploring Operation: 6-3=3, Resulting Numbers: [29, 3] Generated Node #3: [29, 3] from Operation: 6-3=3 Current State: 87:[29, 3], Operations: ['6*1=6', '6-3=3'] Exploring Operation: 29*3=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 89, 34, 73, 55 ]
37
[ "89-34=55", "73-55=18", "55-18=37" ]
Current State: 37:[89, 34, 73, 55], Operations: [] Exploring Operation: 89-34=55, Resulting Numbers: [73, 55, 55] Generated Node #2: [73, 55, 55] from Operation: 89-34=55 Current State: 37:[73, 55, 55], Operations: ['89-34=55'] Exploring Operation: 73-55=18, Resulting Numbers: [18] 18,37 equal: Goal Reached Exploring Operation: 55-18=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 45, 37, 53, 55 ]
53
[ "37+53=90", "90/45=2", "55-2=53" ]
Current State: 53:[45, 37, 53, 55], Operations: [] Exploring Operation: 37+53=90, Resulting Numbers: [45, 55, 90] Generated Node #2: [45, 55, 90] from Operation: 37+53=90 Current State: 53:[45, 55, 90], Operations: ['37+53=90'] Exploring Operation: 90/45=2, Resulting Numbers: [55, 2] Generated Node #3: [55, 2] from Operation: 90/45=2 Current State: 53:[55, 2], Operations: ['37+53=90', '90/45=2'] Exploring Operation: 55-2=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 82, 10, 19, 60 ]
12
[ "60-19=41", "82/41=2", "10+2=12" ]
Current State: 12:[82, 10, 19, 60], Operations: [] Exploring Operation: 60-19=41, Resulting Numbers: [82, 10, 41] Generated Node #2: [82, 10, 41] from Operation: 60-19=41 Current State: 12:[82, 10, 41], Operations: ['60-19=41'] Exploring Operation: 82/41=2, Resulting Numbers: [10, 2] Generated Node #3: [10, 2] from Operation: 82/41=2 Current State: 12:[10, 2], Operations: ['60-19=41', '82/41=2'] Exploring Operation: 10+2=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 54, 11, 32, 33 ]
66
[ "54+11=65", "33-32=1", "65+1=66" ]
Current State: 66:[54, 11, 32, 33], Operations: [] Exploring Operation: 54+11=65, Resulting Numbers: [32, 33, 65] Generated Node #2: [32, 33, 65] from Operation: 54+11=65 Current State: 66:[32, 33, 65], Operations: ['54+11=65'] Exploring Operation: 33-32=1, Resulting Numbers: [65, 1] Generated Node #3: [65, 1] from Operation: 33-32=1 Current State: 66:[65, 1], Operations: ['54+11=65', '33-32=1'] Exploring Operation: 65+1=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 8, 35, 2, 4 ]
70
[ "8-2=6", "6-4=2", "35*2=70" ]
Current State: 70:[8, 35, 2, 4], Operations: [] Exploring Operation: 8-2=6, Resulting Numbers: [35, 4, 6] Generated Node #2: [35, 4, 6] from Operation: 8-2=6 Current State: 70:[35, 4, 6], Operations: ['8-2=6'] Exploring Operation: 6-4=2, Resulting Numbers: [35, 2] Generated Node #3: [35, 2] from Operation: 6-4=2 Current State: 70:[35, 2], Operations: ['8-2=6', '6-4=2'] Exploring Operation: 35*2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 34, 37, 49, 45 ]
23
[ "34+37=71", "49+45=94", "94-71=23" ]
Current State: 23:[34, 37, 49, 45], Operations: [] Exploring Operation: 34+37=71, Resulting Numbers: [49, 45, 71] Generated Node #2: [49, 45, 71] from Operation: 34+37=71 Current State: 23:[49, 45, 71], Operations: ['34+37=71'] Exploring Operation: 49+45=94, Resulting Numbers: [71, 94] Generated Node #3: [71, 94] from Operation: 49+45=94 Current State: 23:[71, 94], Operations: ['34+37=71', '49+45=94'] Exploring Operation: 94-71=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 68, 4, 44, 3 ]
52
[ "4+44=48", "48/3=16", "68-16=52" ]
Current State: 52:[68, 4, 44, 3], Operations: [] Exploring Operation: 4+44=48, Resulting Numbers: [68, 3, 48] Generated Node #2: [68, 3, 48] from Operation: 4+44=48 Current State: 52:[68, 3, 48], Operations: ['4+44=48'] Exploring Operation: 48/3=16, Resulting Numbers: [68, 16] Generated Node #3: [68, 16] from Operation: 48/3=16 Current State: 52:[68, 16], Operations: ['4+44=48', '48/3=16'] Exploring Operation: 68-16=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 6, 37, 19, 48 ]
29
[ "6*19=114", "37+48=85", "114-85=29" ]
Current State: 29:[6, 37, 19, 48], Operations: [] Exploring Operation: 6*19=114, Resulting Numbers: [37, 48, 114] Generated Node #2: [37, 48, 114] from Operation: 6*19=114 Current State: 29:[37, 48, 114], Operations: ['6*19=114'] Exploring Operation: 37+48=85, Resulting Numbers: [114, 85] Generated Node #3: [114, 85] from Operation: 37+48=85 Current State: 29:[114, 85], Operations: ['6*19=114', '37+48=85'] Exploring Operation: 114-85=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 13, 89, 2, 22 ]
85
[ "13*2=26", "89+22=111", "111-26=85" ]
Current State: 85:[13, 89, 2, 22], Operations: [] Exploring Operation: 13*2=26, Resulting Numbers: [89, 22, 26] Generated Node #2: [89, 22, 26] from Operation: 13*2=26 Current State: 85:[89, 22, 26], Operations: ['13*2=26'] Exploring Operation: 89+22=111, Resulting Numbers: [26, 111] Generated Node #3: [26, 111] from Operation: 89+22=111 Current State: 85:[26, 111], Operations: ['13*2=26', '89+22=111'] Exploring Operation: 111-26=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 2, 26, 99, 10 ]
68
[ "10/2=5", "99-26=73", "73-5=68" ]
Current State: 68:[2, 26, 99, 10], Operations: [] Exploring Operation: 10/2=5, Resulting Numbers: [26, 99, 5] Generated Node #2: [26, 99, 5] from Operation: 10/2=5 Current State: 68:[26, 99, 5], Operations: ['10/2=5'] Exploring Operation: 99-26=73, Resulting Numbers: [5, 73] Generated Node #3: [5, 73] from Operation: 99-26=73 Current State: 68:[5, 73], Operations: ['10/2=5', '99-26=73'] Exploring Operation: 73-5=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 11, 62, 63, 99 ]
15
[ "62-11=51", "99-63=36", "51-36=15" ]
Current State: 15:[11, 62, 63, 99], Operations: [] Exploring Operation: 62-11=51, Resulting Numbers: [63, 99, 51] Generated Node #2: [63, 99, 51] from Operation: 62-11=51 Current State: 15:[63, 99, 51], Operations: ['62-11=51'] Exploring Operation: 99-63=36, Resulting Numbers: [51, 36] Generated Node #3: [51, 36] from Operation: 99-63=36 Current State: 15:[51, 36], Operations: ['62-11=51', '99-63=36'] Exploring Operation: 51-36=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 64, 2, 33, 31 ]
31
[ "64-2=62", "33-31=2", "62/2=31" ]
Current State: 31:[64, 2, 33, 31], Operations: [] Exploring Operation: 64-2=62, Resulting Numbers: [33, 31, 62] Generated Node #2: [33, 31, 62] from Operation: 64-2=62 Current State: 31:[33, 31, 62], Operations: ['64-2=62'] Exploring Operation: 33-31=2, Resulting Numbers: [62, 2] Generated Node #3: [62, 2] from Operation: 33-31=2 Current State: 31:[62, 2], Operations: ['64-2=62', '33-31=2'] Exploring Operation: 62/2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 41, 36, 5, 39 ]
14
[ "41-36=5", "5*5=25", "39-25=14" ]
Current State: 14:[41, 36, 5, 39], Operations: [] Exploring Operation: 41-36=5, Resulting Numbers: [5, 39, 5] Generated Node #2: [5, 39, 5] from Operation: 41-36=5 Current State: 14:[5, 39, 5], Operations: ['41-36=5'] Exploring Operation: 5*5=25, Resulting Numbers: [39, 25] Generated Node #3: [39, 25] from Operation: 5*5=25 Current State: 14:[39, 25], Operations: ['41-36=5', '5*5=25'] Exploring Operation: 39-25=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 72, 47, 29, 64 ]
26
[ "72+47=119", "29+64=93", "119-93=26" ]
Current State: 26:[72, 47, 29, 64], Operations: [] Exploring Operation: 72+47=119, Resulting Numbers: [29, 64, 119] Generated Node #2: [29, 64, 119] from Operation: 72+47=119 Current State: 26:[29, 64, 119], Operations: ['72+47=119'] Exploring Operation: 29+64=93, Resulting Numbers: [119, 93] Generated Node #3: [119, 93] from Operation: 29+64=93 Current State: 26:[119, 93], Operations: ['72+47=119', '29+64=93'] Exploring Operation: 119-93=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 72, 57, 75, 63 ]
27
[ "72-57=15", "75-63=12", "15+12=27" ]
Current State: 27:[72, 57, 75, 63], Operations: [] Exploring Operation: 72-57=15, Resulting Numbers: [75, 63, 15] Generated Node #2: [75, 63, 15] from Operation: 72-57=15 Current State: 27:[75, 63, 15], Operations: ['72-57=15'] Exploring Operation: 75-63=12, Resulting Numbers: [15, 12] Generated Node #3: [15, 12] from Operation: 75-63=12 Current State: 27:[15, 12], Operations: ['72-57=15', '75-63=12'] Exploring Operation: 15+12=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 26, 21, 63, 87 ]
23
[ "26+21=47", "87-63=24", "47-24=23" ]
Current State: 23:[26, 21, 63, 87], Operations: [] Exploring Operation: 26+21=47, Resulting Numbers: [63, 87, 47] Generated Node #2: [63, 87, 47] from Operation: 26+21=47 Current State: 23:[63, 87, 47], Operations: ['26+21=47'] Exploring Operation: 87-63=24, Resulting Numbers: [47, 24] Generated Node #3: [47, 24] from Operation: 87-63=24 Current State: 23:[47, 24], Operations: ['26+21=47', '87-63=24'] Exploring Operation: 47-24=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 36, 50, 98, 52 ]
67
[ "36+98=134", "52-50=2", "134/2=67" ]
Current State: 67:[36, 50, 98, 52], Operations: [] Exploring Operation: 36+98=134, Resulting Numbers: [50, 52, 134] Generated Node #2: [50, 52, 134] from Operation: 36+98=134 Current State: 67:[50, 52, 134], Operations: ['36+98=134'] Exploring Operation: 52-50=2, Resulting Numbers: [134, 2] Generated Node #3: [134, 2] from Operation: 52-50=2 Current State: 67:[134, 2], Operations: ['36+98=134', '52-50=2'] Exploring Operation: 134/2=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 39, 3, 33, 63 ]
49
[ "63-33=30", "30/3=10", "39+10=49" ]
Current State: 49:[39, 3, 33, 63], Operations: [] Exploring Operation: 63-33=30, Resulting Numbers: [39, 3, 30] Generated Node #2: [39, 3, 30] from Operation: 63-33=30 Current State: 49:[39, 3, 30], Operations: ['63-33=30'] Exploring Operation: 30/3=10, Resulting Numbers: [39, 10] Generated Node #3: [39, 10] from Operation: 30/3=10 Current State: 49:[39, 10], Operations: ['63-33=30', '30/3=10'] Exploring Operation: 39+10=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 16, 35, 61, 14 ]
52
[ "16-14=2", "61-35=26", "2*26=52" ]
Current State: 52:[16, 35, 61, 14], Operations: [] Exploring Operation: 16-14=2, Resulting Numbers: [35, 61, 2] Generated Node #2: [35, 61, 2] from Operation: 16-14=2 Current State: 52:[35, 61, 2], Operations: ['16-14=2'] Exploring Operation: 61-35=26, Resulting Numbers: [2, 26] Generated Node #3: [2, 26] from Operation: 61-35=26 Current State: 52:[2, 26], Operations: ['16-14=2', '61-35=26'] Exploring Operation: 2*26=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 38, 56, 53, 50 ]
85
[ "56-38=18", "53+50=103", "103-18=85" ]
Current State: 85:[38, 56, 53, 50], Operations: [] Exploring Operation: 56-38=18, Resulting Numbers: [53, 50, 18] Generated Node #2: [53, 50, 18] from Operation: 56-38=18 Current State: 85:[53, 50, 18], Operations: ['56-38=18'] Exploring Operation: 53+50=103, Resulting Numbers: [18, 103] Generated Node #3: [18, 103] from Operation: 53+50=103 Current State: 85:[18, 103], Operations: ['56-38=18', '53+50=103'] Exploring Operation: 103-18=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 43, 99, 46, 38 ]
71
[ "46-43=3", "99/3=33", "38+33=71" ]
Current State: 71:[43, 99, 46, 38], Operations: [] Exploring Operation: 46-43=3, Resulting Numbers: [99, 38, 3] Generated Node #2: [99, 38, 3] from Operation: 46-43=3 Current State: 71:[99, 38, 3], Operations: ['46-43=3'] Exploring Operation: 99/3=33, Resulting Numbers: [38, 33] Generated Node #3: [38, 33] from Operation: 99/3=33 Current State: 71:[38, 33], Operations: ['46-43=3', '99/3=33'] Exploring Operation: 38+33=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 30, 15, 31, 62 ]
45
[ "30*62=1860", "1860/31=60", "60-15=45" ]
Current State: 45:[30, 15, 31, 62], Operations: [] Exploring Operation: 30*62=1860, Resulting Numbers: [15, 31, 1860] Generated Node #2: [15, 31, 1860] from Operation: 30*62=1860 Current State: 45:[15, 31, 1860], Operations: ['30*62=1860'] Exploring Operation: 1860/31=60, Resulting Numbers: [15, 60] Generated Node #3: [15, 60] from Operation: 1860/31=60 Current State: 45:[15, 60], Operations: ['30*62=1860', '1860/31=60'] Exploring Operation: 60-15=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 20, 38, 17, 80 ]
25
[ "80/20=4", "38-17=21", "4+21=25" ]
Current State: 25:[20, 38, 17, 80], Operations: [] Exploring Operation: 80/20=4, Resulting Numbers: [38, 17, 4] Generated Node #2: [38, 17, 4] from Operation: 80/20=4 Current State: 25:[38, 17, 4], Operations: ['80/20=4'] Exploring Operation: 38-17=21, Resulting Numbers: [4, 21] Generated Node #3: [4, 21] from Operation: 38-17=21 Current State: 25:[4, 21], Operations: ['80/20=4', '38-17=21'] Exploring Operation: 4+21=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 76, 62, 74, 45 ]
72
[ "76-45=31", "62/31=2", "74-2=72" ]
Current State: 72:[76, 62, 74, 45], Operations: [] Exploring Operation: 76-45=31, Resulting Numbers: [62, 74, 31] Generated Node #2: [62, 74, 31] from Operation: 76-45=31 Current State: 72:[62, 74, 31], Operations: ['76-45=31'] Exploring Operation: 62/31=2, Resulting Numbers: [74, 2] Generated Node #3: [74, 2] from Operation: 62/31=2 Current State: 72:[74, 2], Operations: ['76-45=31', '62/31=2'] Exploring Operation: 74-2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 6, 40, 38, 70 ]
43
[ "70-40=30", "30/6=5", "38+5=43" ]
Current State: 43:[6, 40, 38, 70], Operations: [] Exploring Operation: 70-40=30, Resulting Numbers: [6, 38, 30] Generated Node #2: [6, 38, 30] from Operation: 70-40=30 Current State: 43:[6, 38, 30], Operations: ['70-40=30'] Exploring Operation: 30/6=5, Resulting Numbers: [38, 5] Generated Node #3: [38, 5] from Operation: 30/6=5 Current State: 43:[38, 5], Operations: ['70-40=30', '30/6=5'] Exploring Operation: 38+5=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 50, 90, 26, 25 ]
89
[ "50+90=140", "26+25=51", "140-51=89" ]
Current State: 89:[50, 90, 26, 25], Operations: [] Exploring Operation: 50+90=140, Resulting Numbers: [26, 25, 140] Generated Node #2: [26, 25, 140] from Operation: 50+90=140 Current State: 89:[26, 25, 140], Operations: ['50+90=140'] Exploring Operation: 26+25=51, Resulting Numbers: [140, 51] Generated Node #3: [140, 51] from Operation: 26+25=51 Current State: 89:[140, 51], Operations: ['50+90=140', '26+25=51'] Exploring Operation: 140-51=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 59, 2, 59, 78 ]
40
[ "59/59=1", "78/2=39", "1+39=40" ]
Current State: 40:[59, 2, 59, 78], Operations: [] Exploring Operation: 59/59=1, Resulting Numbers: [2, 78, 1] Generated Node #2: [2, 78, 1] from Operation: 59/59=1 Current State: 40:[2, 78, 1], Operations: ['59/59=1'] Exploring Operation: 78/2=39, Resulting Numbers: [1, 39] Generated Node #3: [1, 39] from Operation: 78/2=39 Current State: 40:[1, 39], Operations: ['59/59=1', '78/2=39'] Exploring Operation: 1+39=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 14, 63, 24, 69 ]
56
[ "14*24=336", "69-63=6", "336/6=56" ]
Current State: 56:[14, 63, 24, 69], Operations: [] Exploring Operation: 14*24=336, Resulting Numbers: [63, 69, 336] Generated Node #2: [63, 69, 336] from Operation: 14*24=336 Current State: 56:[63, 69, 336], Operations: ['14*24=336'] Exploring Operation: 69-63=6, Resulting Numbers: [336, 6] Generated Node #3: [336, 6] from Operation: 69-63=6 Current State: 56:[336, 6], Operations: ['14*24=336', '69-63=6'] Exploring Operation: 336/6=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 74, 82, 78, 83 ]
81
[ "74+82=156", "156/78=2", "83-2=81" ]
Current State: 81:[74, 82, 78, 83], Operations: [] Exploring Operation: 74+82=156, Resulting Numbers: [78, 83, 156] Generated Node #2: [78, 83, 156] from Operation: 74+82=156 Current State: 81:[78, 83, 156], Operations: ['74+82=156'] Exploring Operation: 156/78=2, Resulting Numbers: [83, 2] Generated Node #3: [83, 2] from Operation: 156/78=2 Current State: 81:[83, 2], Operations: ['74+82=156', '156/78=2'] Exploring Operation: 83-2=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 67, 82, 95, 4 ]
35
[ "82-67=15", "4*15=60", "95-60=35" ]
Current State: 35:[67, 82, 95, 4], Operations: [] Exploring Operation: 82-67=15, Resulting Numbers: [95, 4, 15] Generated Node #2: [95, 4, 15] from Operation: 82-67=15 Current State: 35:[95, 4, 15], Operations: ['82-67=15'] Exploring Operation: 4*15=60, Resulting Numbers: [95, 60] Generated Node #3: [95, 60] from Operation: 4*15=60 Current State: 35:[95, 60], Operations: ['82-67=15', '4*15=60'] Exploring Operation: 95-60=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 93, 1, 3, 19 ]
70
[ "93-1=92", "3+19=22", "92-22=70" ]
Current State: 70:[93, 1, 3, 19], Operations: [] Exploring Operation: 93-1=92, Resulting Numbers: [3, 19, 92] Generated Node #2: [3, 19, 92] from Operation: 93-1=92 Current State: 70:[3, 19, 92], Operations: ['93-1=92'] Exploring Operation: 3+19=22, Resulting Numbers: [92, 22] Generated Node #3: [92, 22] from Operation: 3+19=22 Current State: 70:[92, 22], Operations: ['93-1=92', '3+19=22'] Exploring Operation: 92-22=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 21, 72, 64, 55 ]
60
[ "72-21=51", "64-55=9", "51+9=60" ]
Current State: 60:[21, 72, 64, 55], Operations: [] Exploring Operation: 72-21=51, Resulting Numbers: [64, 55, 51] Generated Node #2: [64, 55, 51] from Operation: 72-21=51 Current State: 60:[64, 55, 51], Operations: ['72-21=51'] Exploring Operation: 64-55=9, Resulting Numbers: [51, 9] Generated Node #3: [51, 9] from Operation: 64-55=9 Current State: 60:[51, 9], Operations: ['72-21=51', '64-55=9'] Exploring Operation: 51+9=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 44, 64, 8, 92 ]
56
[ "92-44=48", "64/8=8", "48+8=56" ]
Current State: 56:[44, 64, 8, 92], Operations: [] Exploring Operation: 92-44=48, Resulting Numbers: [64, 8, 48] Generated Node #2: [64, 8, 48] from Operation: 92-44=48 Current State: 56:[64, 8, 48], Operations: ['92-44=48'] Exploring Operation: 64/8=8, Resulting Numbers: [48, 8] Generated Node #3: [48, 8] from Operation: 64/8=8 Current State: 56:[48, 8], Operations: ['92-44=48', '64/8=8'] Exploring Operation: 48+8=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 26, 75, 10, 2 ]
29
[ "75-26=49", "10*2=20", "49-20=29" ]
Current State: 29:[26, 75, 10, 2], Operations: [] Exploring Operation: 75-26=49, Resulting Numbers: [10, 2, 49] Generated Node #2: [10, 2, 49] from Operation: 75-26=49 Current State: 29:[10, 2, 49], Operations: ['75-26=49'] Exploring Operation: 10*2=20, Resulting Numbers: [49, 20] Generated Node #3: [49, 20] from Operation: 10*2=20 Current State: 29:[49, 20], Operations: ['75-26=49', '10*2=20'] Exploring Operation: 49-20=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4