nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 48, 37, 73, 38 ]
26
[ "48+37=85", "73+38=111", "111-85=26" ]
Current State: 26:[48, 37, 73, 38], Operations: [] Exploring Operation: 48+37=85, Resulting Numbers: [73, 38, 85] Generated Node #2: [73, 38, 85] from Operation: 48+37=85 Current State: 26:[73, 38, 85], Operations: ['48+37=85'] Exploring Operation: 73+38=111, Resulting Numbers: [85, 111] Generated Node #3: [85, 111] from Operation: 73+38=111 Current State: 26:[85, 111], Operations: ['48+37=85', '73+38=111'] Exploring Operation: 111-85=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 92, 10, 80, 88 ]
66
[ "92+10=102", "80+88=168", "168-102=66" ]
Current State: 66:[92, 10, 80, 88], Operations: [] Exploring Operation: 92+10=102, Resulting Numbers: [80, 88, 102] Generated Node #2: [80, 88, 102] from Operation: 92+10=102 Current State: 66:[80, 88, 102], Operations: ['92+10=102'] Exploring Operation: 80+88=168, Resulting Numbers: [102, 168] Generated Node #3: [102, 168] from Operation: 80+88=168 Current State: 66:[102, 168], Operations: ['92+10=102', '80+88=168'] Exploring Operation: 168-102=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 17, 25, 3, 74 ]
22
[ "25-17=8", "74-8=66", "66/3=22" ]
Current State: 22:[17, 25, 3, 74], Operations: [] Exploring Operation: 25-17=8, Resulting Numbers: [3, 74, 8] Generated Node #2: [3, 74, 8] from Operation: 25-17=8 Current State: 22:[3, 74, 8], Operations: ['25-17=8'] Exploring Operation: 74-8=66, Resulting Numbers: [3, 66] Generated Node #3: [3, 66] from Operation: 74-8=66 Current State: 22:[3, 66], Operations: ['25-17=8', '74-8=66'] Exploring Operation: 66/3=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 65, 28, 91, 77 ]
97
[ "65*28=1820", "1820/91=20", "77+20=97" ]
Current State: 97:[65, 28, 91, 77], Operations: [] Exploring Operation: 65*28=1820, Resulting Numbers: [91, 77, 1820] Generated Node #2: [91, 77, 1820] from Operation: 65*28=1820 Current State: 97:[91, 77, 1820], Operations: ['65*28=1820'] Exploring Operation: 1820/91=20, Resulting Numbers: [77, 20] Generated Node #3: [77, 20] from Operation: 1820/91=20 Current State: 97:[77, 20], Operations: ['65*28=1820', '1820/91=20'] Exploring Operation: 77+20=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 99, 21, 1, 3 ]
39
[ "99+21=120", "120/3=40", "40-1=39" ]
Current State: 39:[99, 21, 1, 3], Operations: [] Exploring Operation: 99+21=120, Resulting Numbers: [1, 3, 120] Generated Node #2: [1, 3, 120] from Operation: 99+21=120 Current State: 39:[1, 3, 120], Operations: ['99+21=120'] Exploring Operation: 120/3=40, Resulting Numbers: [1, 40] Generated Node #3: [1, 40] from Operation: 120/3=40 Current State: 39:[1, 40], Operations: ['99+21=120', '120/3=40'] Exploring Operation: 40-1=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 65, 50, 58, 28 ]
29
[ "65+50=115", "58+28=86", "115-86=29" ]
Current State: 29:[65, 50, 58, 28], Operations: [] Exploring Operation: 65+50=115, Resulting Numbers: [58, 28, 115] Generated Node #2: [58, 28, 115] from Operation: 65+50=115 Current State: 29:[58, 28, 115], Operations: ['65+50=115'] Exploring Operation: 58+28=86, Resulting Numbers: [115, 86] Generated Node #3: [115, 86] from Operation: 58+28=86 Current State: 29:[115, 86], Operations: ['65+50=115', '58+28=86'] Exploring Operation: 115-86=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 16, 58, 60, 33 ]
25
[ "60-58=2", "16/2=8", "33-8=25" ]
Current State: 25:[16, 58, 60, 33], Operations: [] Exploring Operation: 60-58=2, Resulting Numbers: [16, 33, 2] Generated Node #2: [16, 33, 2] from Operation: 60-58=2 Current State: 25:[16, 33, 2], Operations: ['60-58=2'] Exploring Operation: 16/2=8, Resulting Numbers: [33, 8] Generated Node #3: [33, 8] from Operation: 16/2=8 Current State: 25:[33, 8], Operations: ['60-58=2', '16/2=8'] Exploring Operation: 33-8=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 69, 1, 3, 98 ]
86
[ "98-69=29", "3*29=87", "87-1=86" ]
Current State: 86:[69, 1, 3, 98], Operations: [] Exploring Operation: 98-69=29, Resulting Numbers: [1, 3, 29] Generated Node #2: [1, 3, 29] from Operation: 98-69=29 Current State: 86:[1, 3, 29], Operations: ['98-69=29'] Exploring Operation: 3*29=87, Resulting Numbers: [1, 87] Generated Node #3: [1, 87] from Operation: 3*29=87 Current State: 86:[1, 87], Operations: ['98-69=29', '3*29=87'] Exploring Operation: 87-1=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 65, 56, 8, 41 ]
58
[ "65-56=9", "8+41=49", "9+49=58" ]
Current State: 58:[65, 56, 8, 41], Operations: [] Exploring Operation: 65-56=9, Resulting Numbers: [8, 41, 9] Generated Node #2: [8, 41, 9] from Operation: 65-56=9 Current State: 58:[8, 41, 9], Operations: ['65-56=9'] Exploring Operation: 8+41=49, Resulting Numbers: [9, 49] Generated Node #3: [9, 49] from Operation: 8+41=49 Current State: 58:[9, 49], Operations: ['65-56=9', '8+41=49'] Exploring Operation: 9+49=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 28, 53, 74, 95 ]
56
[ "53+95=148", "28*148=4144", "4144/74=56" ]
Current State: 56:[28, 53, 74, 95], Operations: [] Exploring Operation: 53+95=148, Resulting Numbers: [28, 74, 148] Generated Node #2: [28, 74, 148] from Operation: 53+95=148 Current State: 56:[28, 74, 148], Operations: ['53+95=148'] Exploring Operation: 28*148=4144, Resulting Numbers: [74, 4144] Generated Node #3: [74, 4144] from Operation: 28*148=4144 Current State: 56:[74, 4144], Operations: ['53+95=148', '28*148=4144'] Exploring Operation: 4144/74=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 2, 44, 17, 95 ]
34
[ "44-17=27", "95-27=68", "68/2=34" ]
Current State: 34:[2, 44, 17, 95], Operations: [] Exploring Operation: 44-17=27, Resulting Numbers: [2, 95, 27] Generated Node #2: [2, 95, 27] from Operation: 44-17=27 Current State: 34:[2, 95, 27], Operations: ['44-17=27'] Exploring Operation: 95-27=68, Resulting Numbers: [2, 68] Generated Node #3: [2, 68] from Operation: 95-27=68 Current State: 34:[2, 68], Operations: ['44-17=27', '95-27=68'] Exploring Operation: 68/2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 69, 49, 92, 7 ]
65
[ "69-49=20", "92-7=85", "85-20=65" ]
Current State: 65:[69, 49, 92, 7], Operations: [] Exploring Operation: 69-49=20, Resulting Numbers: [92, 7, 20] Generated Node #2: [92, 7, 20] from Operation: 69-49=20 Current State: 65:[92, 7, 20], Operations: ['69-49=20'] Exploring Operation: 92-7=85, Resulting Numbers: [20, 85] Generated Node #3: [20, 85] from Operation: 92-7=85 Current State: 65:[20, 85], Operations: ['69-49=20', '92-7=85'] Exploring Operation: 85-20=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 68, 40, 30, 48 ]
28
[ "68-48=20", "40/20=2", "30-2=28" ]
Current State: 28:[68, 40, 30, 48], Operations: [] Exploring Operation: 68-48=20, Resulting Numbers: [40, 30, 20] Generated Node #2: [40, 30, 20] from Operation: 68-48=20 Current State: 28:[40, 30, 20], Operations: ['68-48=20'] Exploring Operation: 40/20=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 40/20=2 Current State: 28:[30, 2], Operations: ['68-48=20', '40/20=2'] Exploring Operation: 30-2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 19, 36, 85, 90 ]
53
[ "36*85=3060", "3060/90=34", "19+34=53" ]
Current State: 53:[19, 36, 85, 90], Operations: [] Exploring Operation: 36*85=3060, Resulting Numbers: [19, 90, 3060] Generated Node #2: [19, 90, 3060] from Operation: 36*85=3060 Current State: 53:[19, 90, 3060], Operations: ['36*85=3060'] Exploring Operation: 3060/90=34, Resulting Numbers: [19, 34] Generated Node #3: [19, 34] from Operation: 3060/90=34 Current State: 53:[19, 34], Operations: ['36*85=3060', '3060/90=34'] Exploring Operation: 19+34=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 12, 44, 75, 57 ]
74
[ "12+44=56", "75-57=18", "56+18=74" ]
Current State: 74:[12, 44, 75, 57], Operations: [] Exploring Operation: 12+44=56, Resulting Numbers: [75, 57, 56] Generated Node #2: [75, 57, 56] from Operation: 12+44=56 Current State: 74:[75, 57, 56], Operations: ['12+44=56'] Exploring Operation: 75-57=18, Resulting Numbers: [56, 18] Generated Node #3: [56, 18] from Operation: 75-57=18 Current State: 74:[56, 18], Operations: ['12+44=56', '75-57=18'] Exploring Operation: 56+18=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 65, 26, 24, 70 ]
85
[ "65-26=39", "70-24=46", "39+46=85" ]
Current State: 85:[65, 26, 24, 70], Operations: [] Exploring Operation: 65-26=39, Resulting Numbers: [24, 70, 39] Generated Node #2: [24, 70, 39] from Operation: 65-26=39 Current State: 85:[24, 70, 39], Operations: ['65-26=39'] Exploring Operation: 70-24=46, Resulting Numbers: [39, 46] Generated Node #3: [39, 46] from Operation: 70-24=46 Current State: 85:[39, 46], Operations: ['65-26=39', '70-24=46'] Exploring Operation: 39+46=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 50, 2, 80, 37 ]
14
[ "80-50=30", "37-30=7", "2*7=14" ]
Current State: 14:[50, 2, 80, 37], Operations: [] Exploring Operation: 80-50=30, Resulting Numbers: [2, 37, 30] Generated Node #2: [2, 37, 30] from Operation: 80-50=30 Current State: 14:[2, 37, 30], Operations: ['80-50=30'] Exploring Operation: 37-30=7, Resulting Numbers: [2, 7] Generated Node #3: [2, 7] from Operation: 37-30=7 Current State: 14:[2, 7], Operations: ['80-50=30', '37-30=7'] Exploring Operation: 2*7=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 43, 69, 7, 44 ]
60
[ "43+69=112", "112/7=16", "44+16=60" ]
Current State: 60:[43, 69, 7, 44], Operations: [] Exploring Operation: 43+69=112, Resulting Numbers: [7, 44, 112] Generated Node #2: [7, 44, 112] from Operation: 43+69=112 Current State: 60:[7, 44, 112], Operations: ['43+69=112'] Exploring Operation: 112/7=16, Resulting Numbers: [44, 16] Generated Node #3: [44, 16] from Operation: 112/7=16 Current State: 60:[44, 16], Operations: ['43+69=112', '112/7=16'] Exploring Operation: 44+16=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 32, 17, 42, 2 ]
25
[ "32-17=15", "42-2=40", "40-15=25" ]
Current State: 25:[32, 17, 42, 2], Operations: [] Exploring Operation: 32-17=15, Resulting Numbers: [42, 2, 15] Generated Node #2: [42, 2, 15] from Operation: 32-17=15 Current State: 25:[42, 2, 15], Operations: ['32-17=15'] Exploring Operation: 42-2=40, Resulting Numbers: [15, 40] Generated Node #3: [15, 40] from Operation: 42-2=40 Current State: 25:[15, 40], Operations: ['32-17=15', '42-2=40'] Exploring Operation: 40-15=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 39, 66, 21, 4 ]
24
[ "66-39=27", "27-21=6", "4*6=24" ]
Current State: 24:[39, 66, 21, 4], Operations: [] Exploring Operation: 66-39=27, Resulting Numbers: [21, 4, 27] Generated Node #2: [21, 4, 27] from Operation: 66-39=27 Current State: 24:[21, 4, 27], Operations: ['66-39=27'] Exploring Operation: 27-21=6, Resulting Numbers: [4, 6] Generated Node #3: [4, 6] from Operation: 27-21=6 Current State: 24:[4, 6], Operations: ['66-39=27', '27-21=6'] Exploring Operation: 4*6=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 19, 50, 15, 38 ]
20
[ "38/19=2", "15*2=30", "50-30=20" ]
Current State: 20:[19, 50, 15, 38], Operations: [] Exploring Operation: 38/19=2, Resulting Numbers: [50, 15, 2] Generated Node #2: [50, 15, 2] from Operation: 38/19=2 Current State: 20:[50, 15, 2], Operations: ['38/19=2'] Exploring Operation: 15*2=30, Resulting Numbers: [50, 30] Generated Node #3: [50, 30] from Operation: 15*2=30 Current State: 20:[50, 30], Operations: ['38/19=2', '15*2=30'] Exploring Operation: 50-30=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 13, 96, 19, 18 ]
99
[ "19-13=6", "18/6=3", "96+3=99" ]
Current State: 99:[13, 96, 19, 18], Operations: [] Exploring Operation: 19-13=6, Resulting Numbers: [96, 18, 6] Generated Node #2: [96, 18, 6] from Operation: 19-13=6 Current State: 99:[96, 18, 6], Operations: ['19-13=6'] Exploring Operation: 18/6=3, Resulting Numbers: [96, 3] Generated Node #3: [96, 3] from Operation: 18/6=3 Current State: 99:[96, 3], Operations: ['19-13=6', '18/6=3'] Exploring Operation: 96+3=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 12, 66, 63, 14 ]
68
[ "63*14=882", "882-66=816", "816/12=68" ]
Current State: 68:[12, 66, 63, 14], Operations: [] Exploring Operation: 63*14=882, Resulting Numbers: [12, 66, 882] Generated Node #2: [12, 66, 882] from Operation: 63*14=882 Current State: 68:[12, 66, 882], Operations: ['63*14=882'] Exploring Operation: 882-66=816, Resulting Numbers: [12, 816] Generated Node #3: [12, 816] from Operation: 882-66=816 Current State: 68:[12, 816], Operations: ['63*14=882', '882-66=816'] Exploring Operation: 816/12=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 13, 89, 95, 48 ]
41
[ "13+89=102", "95+48=143", "143-102=41" ]
Current State: 41:[13, 89, 95, 48], Operations: [] Exploring Operation: 13+89=102, Resulting Numbers: [95, 48, 102] Generated Node #2: [95, 48, 102] from Operation: 13+89=102 Current State: 41:[95, 48, 102], Operations: ['13+89=102'] Exploring Operation: 95+48=143, Resulting Numbers: [102, 143] Generated Node #3: [102, 143] from Operation: 95+48=143 Current State: 41:[102, 143], Operations: ['13+89=102', '95+48=143'] Exploring Operation: 143-102=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 48, 3, 17, 68 ]
96
[ "48-3=45", "68-17=51", "45+51=96" ]
Current State: 96:[48, 3, 17, 68], Operations: [] Exploring Operation: 48-3=45, Resulting Numbers: [17, 68, 45] Generated Node #2: [17, 68, 45] from Operation: 48-3=45 Current State: 96:[17, 68, 45], Operations: ['48-3=45'] Exploring Operation: 68-17=51, Resulting Numbers: [45, 51] Generated Node #3: [45, 51] from Operation: 68-17=51 Current State: 96:[45, 51], Operations: ['48-3=45', '68-17=51'] Exploring Operation: 45+51=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 75, 9, 20, 72 ]
47
[ "75-20=55", "72/9=8", "55-8=47" ]
Current State: 47:[75, 9, 20, 72], Operations: [] Exploring Operation: 75-20=55, Resulting Numbers: [9, 72, 55] Generated Node #2: [9, 72, 55] from Operation: 75-20=55 Current State: 47:[9, 72, 55], Operations: ['75-20=55'] Exploring Operation: 72/9=8, Resulting Numbers: [55, 8] Generated Node #3: [55, 8] from Operation: 72/9=8 Current State: 47:[55, 8], Operations: ['75-20=55', '72/9=8'] Exploring Operation: 55-8=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 2, 54, 28, 35 ]
49
[ "2+54=56", "35-28=7", "56-7=49" ]
Current State: 49:[2, 54, 28, 35], Operations: [] Exploring Operation: 2+54=56, Resulting Numbers: [28, 35, 56] Generated Node #2: [28, 35, 56] from Operation: 2+54=56 Current State: 49:[28, 35, 56], Operations: ['2+54=56'] Exploring Operation: 35-28=7, Resulting Numbers: [56, 7] Generated Node #3: [56, 7] from Operation: 35-28=7 Current State: 49:[56, 7], Operations: ['2+54=56', '35-28=7'] Exploring Operation: 56-7=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 68, 58, 39, 42 ]
21
[ "68-39=29", "58/29=2", "42/2=21" ]
Current State: 21:[68, 58, 39, 42], Operations: [] Exploring Operation: 68-39=29, Resulting Numbers: [58, 42, 29] Generated Node #2: [58, 42, 29] from Operation: 68-39=29 Current State: 21:[58, 42, 29], Operations: ['68-39=29'] Exploring Operation: 58/29=2, Resulting Numbers: [42, 2] Generated Node #3: [42, 2] from Operation: 58/29=2 Current State: 21:[42, 2], Operations: ['68-39=29', '58/29=2'] Exploring Operation: 42/2=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 2, 96, 90, 56 ]
100
[ "96-90=6", "56-6=50", "2*50=100" ]
Current State: 100:[2, 96, 90, 56], Operations: [] Exploring Operation: 96-90=6, Resulting Numbers: [2, 56, 6] Generated Node #2: [2, 56, 6] from Operation: 96-90=6 Current State: 100:[2, 56, 6], Operations: ['96-90=6'] Exploring Operation: 56-6=50, Resulting Numbers: [2, 50] Generated Node #3: [2, 50] from Operation: 56-6=50 Current State: 100:[2, 50], Operations: ['96-90=6', '56-6=50'] Exploring Operation: 2*50=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 36, 48, 91, 85 ]
90
[ "36+48=84", "91-85=6", "84+6=90" ]
Current State: 90:[36, 48, 91, 85], Operations: [] Exploring Operation: 36+48=84, Resulting Numbers: [91, 85, 84] Generated Node #2: [91, 85, 84] from Operation: 36+48=84 Current State: 90:[91, 85, 84], Operations: ['36+48=84'] Exploring Operation: 91-85=6, Resulting Numbers: [84, 6] Generated Node #3: [84, 6] from Operation: 91-85=6 Current State: 90:[84, 6], Operations: ['36+48=84', '91-85=6'] Exploring Operation: 84+6=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 86, 93, 36, 61 ]
91
[ "86+36=122", "122/61=2", "93-2=91" ]
Current State: 91:[86, 93, 36, 61], Operations: [] Exploring Operation: 86+36=122, Resulting Numbers: [93, 61, 122] Generated Node #2: [93, 61, 122] from Operation: 86+36=122 Current State: 91:[93, 61, 122], Operations: ['86+36=122'] Exploring Operation: 122/61=2, Resulting Numbers: [93, 2] Generated Node #3: [93, 2] from Operation: 122/61=2 Current State: 91:[93, 2], Operations: ['86+36=122', '122/61=2'] Exploring Operation: 93-2=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 52, 70, 9, 18 ]
17
[ "70*9=630", "630/18=35", "52-35=17" ]
Current State: 17:[52, 70, 9, 18], Operations: [] Exploring Operation: 70*9=630, Resulting Numbers: [52, 18, 630] Generated Node #2: [52, 18, 630] from Operation: 70*9=630 Current State: 17:[52, 18, 630], Operations: ['70*9=630'] Exploring Operation: 630/18=35, Resulting Numbers: [52, 35] Generated Node #3: [52, 35] from Operation: 630/18=35 Current State: 17:[52, 35], Operations: ['70*9=630', '630/18=35'] Exploring Operation: 52-35=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 19, 71, 24, 44 ]
32
[ "71-19=52", "44-24=20", "52-20=32" ]
Current State: 32:[19, 71, 24, 44], Operations: [] Exploring Operation: 71-19=52, Resulting Numbers: [24, 44, 52] Generated Node #2: [24, 44, 52] from Operation: 71-19=52 Current State: 32:[24, 44, 52], Operations: ['71-19=52'] Exploring Operation: 44-24=20, Resulting Numbers: [52, 20] Generated Node #3: [52, 20] from Operation: 44-24=20 Current State: 32:[52, 20], Operations: ['71-19=52', '44-24=20'] Exploring Operation: 52-20=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 68, 3, 86, 87 ]
64
[ "68-3=65", "87-86=1", "65-1=64" ]
Current State: 64:[68, 3, 86, 87], Operations: [] Exploring Operation: 68-3=65, Resulting Numbers: [86, 87, 65] Generated Node #2: [86, 87, 65] from Operation: 68-3=65 Current State: 64:[86, 87, 65], Operations: ['68-3=65'] Exploring Operation: 87-86=1, Resulting Numbers: [65, 1] Generated Node #3: [65, 1] from Operation: 87-86=1 Current State: 64:[65, 1], Operations: ['68-3=65', '87-86=1'] Exploring Operation: 65-1=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 72, 25, 87, 37 ]
77
[ "72-25=47", "87+37=124", "124-47=77" ]
Current State: 77:[72, 25, 87, 37], Operations: [] Exploring Operation: 72-25=47, Resulting Numbers: [87, 37, 47] Generated Node #2: [87, 37, 47] from Operation: 72-25=47 Current State: 77:[87, 37, 47], Operations: ['72-25=47'] Exploring Operation: 87+37=124, Resulting Numbers: [47, 124] Generated Node #3: [47, 124] from Operation: 87+37=124 Current State: 77:[47, 124], Operations: ['72-25=47', '87+37=124'] Exploring Operation: 124-47=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 64, 39, 19, 12 ]
28
[ "39*12=468", "64+468=532", "532/19=28" ]
Current State: 28:[64, 39, 19, 12], Operations: [] Exploring Operation: 39*12=468, Resulting Numbers: [64, 19, 468] Generated Node #2: [64, 19, 468] from Operation: 39*12=468 Current State: 28:[64, 19, 468], Operations: ['39*12=468'] Exploring Operation: 64+468=532, Resulting Numbers: [19, 532] Generated Node #3: [19, 532] from Operation: 64+468=532 Current State: 28:[19, 532], Operations: ['39*12=468', '64+468=532'] Exploring Operation: 532/19=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 41, 43, 44, 10 ]
64
[ "43-41=2", "10*2=20", "44+20=64" ]
Current State: 64:[41, 43, 44, 10], Operations: [] Exploring Operation: 43-41=2, Resulting Numbers: [44, 10, 2] Generated Node #2: [44, 10, 2] from Operation: 43-41=2 Current State: 64:[44, 10, 2], Operations: ['43-41=2'] Exploring Operation: 10*2=20, Resulting Numbers: [44, 20] Generated Node #3: [44, 20] from Operation: 10*2=20 Current State: 64:[44, 20], Operations: ['43-41=2', '10*2=20'] Exploring Operation: 44+20=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 12, 36, 92, 70 ]
19
[ "36/12=3", "92-70=22", "22-3=19" ]
Current State: 19:[12, 36, 92, 70], Operations: [] Exploring Operation: 36/12=3, Resulting Numbers: [92, 70, 3] Generated Node #2: [92, 70, 3] from Operation: 36/12=3 Current State: 19:[92, 70, 3], Operations: ['36/12=3'] Exploring Operation: 92-70=22, Resulting Numbers: [3, 22] Generated Node #3: [3, 22] from Operation: 92-70=22 Current State: 19:[3, 22], Operations: ['36/12=3', '92-70=22'] Exploring Operation: 22-3=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 73, 52, 40, 90 ]
75
[ "73+52=125", "90-40=50", "125-50=75" ]
Current State: 75:[73, 52, 40, 90], Operations: [] Exploring Operation: 73+52=125, Resulting Numbers: [40, 90, 125] Generated Node #2: [40, 90, 125] from Operation: 73+52=125 Current State: 75:[40, 90, 125], Operations: ['73+52=125'] Exploring Operation: 90-40=50, Resulting Numbers: [125, 50] Generated Node #3: [125, 50] from Operation: 90-40=50 Current State: 75:[125, 50], Operations: ['73+52=125', '90-40=50'] Exploring Operation: 125-50=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 22, 1, 28, 46 ]
97
[ "22+1=23", "28+46=74", "23+74=97" ]
Current State: 97:[22, 1, 28, 46], Operations: [] Exploring Operation: 22+1=23, Resulting Numbers: [28, 46, 23] Generated Node #2: [28, 46, 23] from Operation: 22+1=23 Current State: 97:[28, 46, 23], Operations: ['22+1=23'] Exploring Operation: 28+46=74, Resulting Numbers: [23, 74] Generated Node #3: [23, 74] from Operation: 28+46=74 Current State: 97:[23, 74], Operations: ['22+1=23', '28+46=74'] Exploring Operation: 23+74=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 77, 66, 18, 32 ]
11
[ "77*18=1386", "1386/66=21", "32-21=11" ]
Current State: 11:[77, 66, 18, 32], Operations: [] Exploring Operation: 77*18=1386, Resulting Numbers: [66, 32, 1386] Generated Node #2: [66, 32, 1386] from Operation: 77*18=1386 Current State: 11:[66, 32, 1386], Operations: ['77*18=1386'] Exploring Operation: 1386/66=21, Resulting Numbers: [32, 21] Generated Node #3: [32, 21] from Operation: 1386/66=21 Current State: 11:[32, 21], Operations: ['77*18=1386', '1386/66=21'] Exploring Operation: 32-21=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 10, 39, 78, 49 ]
77
[ "10+39=49", "49/49=1", "78-1=77" ]
Current State: 77:[10, 39, 78, 49], Operations: [] Exploring Operation: 10+39=49, Resulting Numbers: [78, 49, 49] Generated Node #2: [78, 49, 49] from Operation: 10+39=49 Current State: 77:[78, 49, 49], Operations: ['10+39=49'] Exploring Operation: 49/49=1, Resulting Numbers: [78, 1] Generated Node #3: [78, 1] from Operation: 49/49=1 Current State: 77:[78, 1], Operations: ['10+39=49', '49/49=1'] Exploring Operation: 78-1=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 12, 73, 18, 96 ]
47
[ "12*18=216", "73+96=169", "216-169=47" ]
Current State: 47:[12, 73, 18, 96], Operations: [] Exploring Operation: 12*18=216, Resulting Numbers: [73, 96, 216] Generated Node #2: [73, 96, 216] from Operation: 12*18=216 Current State: 47:[73, 96, 216], Operations: ['12*18=216'] Exploring Operation: 73+96=169, Resulting Numbers: [216, 169] Generated Node #3: [216, 169] from Operation: 73+96=169 Current State: 47:[216, 169], Operations: ['12*18=216', '73+96=169'] Exploring Operation: 216-169=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 70, 50, 11, 76 ]
85
[ "70-50=20", "76-11=65", "20+65=85" ]
Current State: 85:[70, 50, 11, 76], Operations: [] Exploring Operation: 70-50=20, Resulting Numbers: [11, 76, 20] Generated Node #2: [11, 76, 20] from Operation: 70-50=20 Current State: 85:[11, 76, 20], Operations: ['70-50=20'] Exploring Operation: 76-11=65, Resulting Numbers: [20, 65] Generated Node #3: [20, 65] from Operation: 76-11=65 Current State: 85:[20, 65], Operations: ['70-50=20', '76-11=65'] Exploring Operation: 20+65=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 87, 2, 20, 60 ]
93
[ "20/2=10", "60/10=6", "87+6=93" ]
Current State: 93:[87, 2, 20, 60], Operations: [] Exploring Operation: 20/2=10, Resulting Numbers: [87, 60, 10] Generated Node #2: [87, 60, 10] from Operation: 20/2=10 Current State: 93:[87, 60, 10], Operations: ['20/2=10'] Exploring Operation: 60/10=6, Resulting Numbers: [87, 6] Generated Node #3: [87, 6] from Operation: 60/10=6 Current State: 93:[87, 6], Operations: ['20/2=10', '60/10=6'] Exploring Operation: 87+6=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 9, 25, 38, 98 ]
89
[ "9*25=225", "38+98=136", "225-136=89" ]
Current State: 89:[9, 25, 38, 98], Operations: [] Exploring Operation: 9*25=225, Resulting Numbers: [38, 98, 225] Generated Node #2: [38, 98, 225] from Operation: 9*25=225 Current State: 89:[38, 98, 225], Operations: ['9*25=225'] Exploring Operation: 38+98=136, Resulting Numbers: [225, 136] Generated Node #3: [225, 136] from Operation: 38+98=136 Current State: 89:[225, 136], Operations: ['9*25=225', '38+98=136'] Exploring Operation: 225-136=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 57, 92, 39, 55 ]
14
[ "57-55=2", "39*2=78", "92-78=14" ]
Current State: 14:[57, 92, 39, 55], Operations: [] Exploring Operation: 57-55=2, Resulting Numbers: [92, 39, 2] Generated Node #2: [92, 39, 2] from Operation: 57-55=2 Current State: 14:[92, 39, 2], Operations: ['57-55=2'] Exploring Operation: 39*2=78, Resulting Numbers: [92, 78] Generated Node #3: [92, 78] from Operation: 39*2=78 Current State: 14:[92, 78], Operations: ['57-55=2', '39*2=78'] Exploring Operation: 92-78=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 58, 63, 66, 32 ]
23
[ "58+63=121", "66+32=98", "121-98=23" ]
Current State: 23:[58, 63, 66, 32], Operations: [] Exploring Operation: 58+63=121, Resulting Numbers: [66, 32, 121] Generated Node #2: [66, 32, 121] from Operation: 58+63=121 Current State: 23:[66, 32, 121], Operations: ['58+63=121'] Exploring Operation: 66+32=98, Resulting Numbers: [121, 98] Generated Node #3: [121, 98] from Operation: 66+32=98 Current State: 23:[121, 98], Operations: ['58+63=121', '66+32=98'] Exploring Operation: 121-98=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 21, 75, 27, 30 ]
70
[ "27-21=6", "30/6=5", "75-5=70" ]
Current State: 70:[21, 75, 27, 30], Operations: [] Exploring Operation: 27-21=6, Resulting Numbers: [75, 30, 6] Generated Node #2: [75, 30, 6] from Operation: 27-21=6 Current State: 70:[75, 30, 6], Operations: ['27-21=6'] Exploring Operation: 30/6=5, Resulting Numbers: [75, 5] Generated Node #3: [75, 5] from Operation: 30/6=5 Current State: 70:[75, 5], Operations: ['27-21=6', '30/6=5'] Exploring Operation: 75-5=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 28, 77, 49, 67 ]
68
[ "77-28=49", "49/49=1", "67+1=68" ]
Current State: 68:[28, 77, 49, 67], Operations: [] Exploring Operation: 77-28=49, Resulting Numbers: [49, 67, 49] Generated Node #2: [49, 67, 49] from Operation: 77-28=49 Current State: 68:[49, 67, 49], Operations: ['77-28=49'] Exploring Operation: 49/49=1, Resulting Numbers: [67, 1] Generated Node #3: [67, 1] from Operation: 49/49=1 Current State: 68:[67, 1], Operations: ['77-28=49', '49/49=1'] Exploring Operation: 67+1=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 36, 73, 22, 51 ]
37
[ "73-22=51", "51/51=1", "36+1=37" ]
Current State: 37:[36, 73, 22, 51], Operations: [] Exploring Operation: 73-22=51, Resulting Numbers: [36, 51, 51] Generated Node #2: [36, 51, 51] from Operation: 73-22=51 Current State: 37:[36, 51, 51], Operations: ['73-22=51'] Exploring Operation: 51/51=1, Resulting Numbers: [36, 1] Generated Node #3: [36, 1] from Operation: 51/51=1 Current State: 37:[36, 1], Operations: ['73-22=51', '51/51=1'] Exploring Operation: 36+1=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 62, 69, 79, 1 ]
86
[ "69-62=7", "79*1=79", "7+79=86" ]
Current State: 86:[62, 69, 79, 1], Operations: [] Exploring Operation: 69-62=7, Resulting Numbers: [79, 1, 7] Generated Node #2: [79, 1, 7] from Operation: 69-62=7 Current State: 86:[79, 1, 7], Operations: ['69-62=7'] Exploring Operation: 79*1=79, Resulting Numbers: [7, 79] Generated Node #3: [7, 79] from Operation: 79*1=79 Current State: 86:[7, 79], Operations: ['69-62=7', '79*1=79'] Exploring Operation: 7+79=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 41, 39, 94, 73 ]
23
[ "41-39=2", "94-73=21", "2+21=23" ]
Current State: 23:[41, 39, 94, 73], Operations: [] Exploring Operation: 41-39=2, Resulting Numbers: [94, 73, 2] Generated Node #2: [94, 73, 2] from Operation: 41-39=2 Current State: 23:[94, 73, 2], Operations: ['41-39=2'] Exploring Operation: 94-73=21, Resulting Numbers: [2, 21] Generated Node #3: [2, 21] from Operation: 94-73=21 Current State: 23:[2, 21], Operations: ['41-39=2', '94-73=21'] Exploring Operation: 2+21=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 60, 95, 30, 58 ]
66
[ "60/30=2", "58/2=29", "95-29=66" ]
Current State: 66:[60, 95, 30, 58], Operations: [] Exploring Operation: 60/30=2, Resulting Numbers: [95, 58, 2] Generated Node #2: [95, 58, 2] from Operation: 60/30=2 Current State: 66:[95, 58, 2], Operations: ['60/30=2'] Exploring Operation: 58/2=29, Resulting Numbers: [95, 29] Generated Node #3: [95, 29] from Operation: 58/2=29 Current State: 66:[95, 29], Operations: ['60/30=2', '58/2=29'] Exploring Operation: 95-29=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 16, 81, 65, 83 ]
79
[ "16+81=97", "83-65=18", "97-18=79" ]
Current State: 79:[16, 81, 65, 83], Operations: [] Exploring Operation: 16+81=97, Resulting Numbers: [65, 83, 97] Generated Node #2: [65, 83, 97] from Operation: 16+81=97 Current State: 79:[65, 83, 97], Operations: ['16+81=97'] Exploring Operation: 83-65=18, Resulting Numbers: [97, 18] Generated Node #3: [97, 18] from Operation: 83-65=18 Current State: 79:[97, 18], Operations: ['16+81=97', '83-65=18'] Exploring Operation: 97-18=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 20, 83, 74, 96 ]
81
[ "20+83=103", "96-74=22", "103-22=81" ]
Current State: 81:[20, 83, 74, 96], Operations: [] Exploring Operation: 20+83=103, Resulting Numbers: [74, 96, 103] Generated Node #2: [74, 96, 103] from Operation: 20+83=103 Current State: 81:[74, 96, 103], Operations: ['20+83=103'] Exploring Operation: 96-74=22, Resulting Numbers: [103, 22] Generated Node #3: [103, 22] from Operation: 96-74=22 Current State: 81:[103, 22], Operations: ['20+83=103', '96-74=22'] Exploring Operation: 103-22=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 86, 36, 62, 73 ]
41
[ "36*73=2628", "2628-86=2542", "2542/62=41" ]
Current State: 41:[86, 36, 62, 73], Operations: [] Exploring Operation: 36*73=2628, Resulting Numbers: [86, 62, 2628] Generated Node #2: [86, 62, 2628] from Operation: 36*73=2628 Current State: 41:[86, 62, 2628], Operations: ['36*73=2628'] Exploring Operation: 2628-86=2542, Resulting Numbers: [62, 2542] Generated Node #3: [62, 2542] from Operation: 2628-86=2542 Current State: 41:[62, 2542], Operations: ['36*73=2628', '2628-86=2542'] Exploring Operation: 2542/62=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 41, 16, 63, 62 ]
57
[ "41+16=57", "63-62=1", "57*1=57" ]
Current State: 57:[41, 16, 63, 62], Operations: [] Exploring Operation: 41+16=57, Resulting Numbers: [63, 62, 57] Generated Node #2: [63, 62, 57] from Operation: 41+16=57 Current State: 57:[63, 62, 57], Operations: ['41+16=57'] Exploring Operation: 63-62=1, Resulting Numbers: [57, 1] Generated Node #3: [57, 1] from Operation: 63-62=1 Current State: 57:[57, 1], Operations: ['41+16=57', '63-62=1'] Exploring Operation: 57*1=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 15, 44, 14, 13 ]
29
[ "44-15=29", "14-13=1", "29*1=29" ]
Current State: 29:[15, 44, 14, 13], Operations: [] Exploring Operation: 44-15=29, Resulting Numbers: [14, 13, 29] Generated Node #2: [14, 13, 29] from Operation: 44-15=29 Current State: 29:[14, 13, 29], Operations: ['44-15=29'] Exploring Operation: 14-13=1, Resulting Numbers: [29, 1] Generated Node #3: [29, 1] from Operation: 14-13=1 Current State: 29:[29, 1], Operations: ['44-15=29', '14-13=1'] Exploring Operation: 29*1=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 7, 52, 13, 48 ]
47
[ "48-13=35", "35/7=5", "52-5=47" ]
Current State: 47:[7, 52, 13, 48], Operations: [] Exploring Operation: 48-13=35, Resulting Numbers: [7, 52, 35] Generated Node #2: [7, 52, 35] from Operation: 48-13=35 Current State: 47:[7, 52, 35], Operations: ['48-13=35'] Exploring Operation: 35/7=5, Resulting Numbers: [52, 5] Generated Node #3: [52, 5] from Operation: 35/7=5 Current State: 47:[52, 5], Operations: ['48-13=35', '35/7=5'] Exploring Operation: 52-5=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 35, 37, 56, 55 ]
71
[ "35+37=72", "56-55=1", "72-1=71" ]
Current State: 71:[35, 37, 56, 55], Operations: [] Exploring Operation: 35+37=72, Resulting Numbers: [56, 55, 72] Generated Node #2: [56, 55, 72] from Operation: 35+37=72 Current State: 71:[56, 55, 72], Operations: ['35+37=72'] Exploring Operation: 56-55=1, Resulting Numbers: [72, 1] Generated Node #3: [72, 1] from Operation: 56-55=1 Current State: 71:[72, 1], Operations: ['35+37=72', '56-55=1'] Exploring Operation: 72-1=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 44, 5, 29, 60 ]
27
[ "44-29=15", "60/5=12", "15+12=27" ]
Current State: 27:[44, 5, 29, 60], Operations: [] Exploring Operation: 44-29=15, Resulting Numbers: [5, 60, 15] Generated Node #2: [5, 60, 15] from Operation: 44-29=15 Current State: 27:[5, 60, 15], Operations: ['44-29=15'] Exploring Operation: 60/5=12, Resulting Numbers: [15, 12] Generated Node #3: [15, 12] from Operation: 60/5=12 Current State: 27:[15, 12], Operations: ['44-29=15', '60/5=12'] Exploring Operation: 15+12=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 10, 59, 25, 72 ]
75
[ "10+59=69", "72-69=3", "25*3=75" ]
Current State: 75:[10, 59, 25, 72], Operations: [] Exploring Operation: 10+59=69, Resulting Numbers: [25, 72, 69] Generated Node #2: [25, 72, 69] from Operation: 10+59=69 Current State: 75:[25, 72, 69], Operations: ['10+59=69'] Exploring Operation: 72-69=3, Resulting Numbers: [25, 3] Generated Node #3: [25, 3] from Operation: 72-69=3 Current State: 75:[25, 3], Operations: ['10+59=69', '72-69=3'] Exploring Operation: 25*3=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 27, 26, 76, 46 ]
16
[ "27*46=1242", "1242-26=1216", "1216/76=16" ]
Current State: 16:[27, 26, 76, 46], Operations: [] Exploring Operation: 27*46=1242, Resulting Numbers: [26, 76, 1242] Generated Node #2: [26, 76, 1242] from Operation: 27*46=1242 Current State: 16:[26, 76, 1242], Operations: ['27*46=1242'] Exploring Operation: 1242-26=1216, Resulting Numbers: [76, 1216] Generated Node #3: [76, 1216] from Operation: 1242-26=1216 Current State: 16:[76, 1216], Operations: ['27*46=1242', '1242-26=1216'] Exploring Operation: 1216/76=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 10, 65, 96, 70 ]
23
[ "70/10=7", "65+96=161", "161/7=23" ]
Current State: 23:[10, 65, 96, 70], Operations: [] Exploring Operation: 70/10=7, Resulting Numbers: [65, 96, 7] Generated Node #2: [65, 96, 7] from Operation: 70/10=7 Current State: 23:[65, 96, 7], Operations: ['70/10=7'] Exploring Operation: 65+96=161, Resulting Numbers: [7, 161] Generated Node #3: [7, 161] from Operation: 65+96=161 Current State: 23:[7, 161], Operations: ['70/10=7', '65+96=161'] Exploring Operation: 161/7=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 7, 2, 68, 63 ]
75
[ "7+2=9", "63/9=7", "68+7=75" ]
Current State: 75:[7, 2, 68, 63], Operations: [] Exploring Operation: 7+2=9, Resulting Numbers: [68, 63, 9] Generated Node #2: [68, 63, 9] from Operation: 7+2=9 Current State: 75:[68, 63, 9], Operations: ['7+2=9'] Exploring Operation: 63/9=7, Resulting Numbers: [68, 7] Generated Node #3: [68, 7] from Operation: 63/9=7 Current State: 75:[68, 7], Operations: ['7+2=9', '63/9=7'] Exploring Operation: 68+7=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 24, 24, 16, 66 ]
49
[ "24/24=1", "66-16=50", "50-1=49" ]
Current State: 49:[24, 24, 16, 66], Operations: [] Exploring Operation: 24/24=1, Resulting Numbers: [16, 66, 1] Generated Node #2: [16, 66, 1] from Operation: 24/24=1 Current State: 49:[16, 66, 1], Operations: ['24/24=1'] Exploring Operation: 66-16=50, Resulting Numbers: [1, 50] Generated Node #3: [1, 50] from Operation: 66-16=50 Current State: 49:[1, 50], Operations: ['24/24=1', '66-16=50'] Exploring Operation: 50-1=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 35, 54, 86, 14 ]
42
[ "35+54=89", "89-86=3", "14*3=42" ]
Current State: 42:[35, 54, 86, 14], Operations: [] Exploring Operation: 35+54=89, Resulting Numbers: [86, 14, 89] Generated Node #2: [86, 14, 89] from Operation: 35+54=89 Current State: 42:[86, 14, 89], Operations: ['35+54=89'] Exploring Operation: 89-86=3, Resulting Numbers: [14, 3] Generated Node #3: [14, 3] from Operation: 89-86=3 Current State: 42:[14, 3], Operations: ['35+54=89', '89-86=3'] Exploring Operation: 14*3=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 17, 30, 52, 40 ]
59
[ "17+30=47", "52-40=12", "47+12=59" ]
Current State: 59:[17, 30, 52, 40], Operations: [] Exploring Operation: 17+30=47, Resulting Numbers: [52, 40, 47] Generated Node #2: [52, 40, 47] from Operation: 17+30=47 Current State: 59:[52, 40, 47], Operations: ['17+30=47'] Exploring Operation: 52-40=12, Resulting Numbers: [47, 12] Generated Node #3: [47, 12] from Operation: 52-40=12 Current State: 59:[47, 12], Operations: ['17+30=47', '52-40=12'] Exploring Operation: 47+12=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 25, 55, 10, 84 ]
62
[ "55*10=550", "550/25=22", "84-22=62" ]
Current State: 62:[25, 55, 10, 84], Operations: [] Exploring Operation: 55*10=550, Resulting Numbers: [25, 84, 550] Generated Node #2: [25, 84, 550] from Operation: 55*10=550 Current State: 62:[25, 84, 550], Operations: ['55*10=550'] Exploring Operation: 550/25=22, Resulting Numbers: [84, 22] Generated Node #3: [84, 22] from Operation: 550/25=22 Current State: 62:[84, 22], Operations: ['55*10=550', '550/25=22'] Exploring Operation: 84-22=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 36, 31, 44, 40 ]
20
[ "36-31=5", "44-40=4", "5*4=20" ]
Current State: 20:[36, 31, 44, 40], Operations: [] Exploring Operation: 36-31=5, Resulting Numbers: [44, 40, 5] Generated Node #2: [44, 40, 5] from Operation: 36-31=5 Current State: 20:[44, 40, 5], Operations: ['36-31=5'] Exploring Operation: 44-40=4, Resulting Numbers: [5, 4] Generated Node #3: [5, 4] from Operation: 44-40=4 Current State: 20:[5, 4], Operations: ['36-31=5', '44-40=4'] Exploring Operation: 5*4=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 13, 89, 56, 82 ]
62
[ "89-13=76", "56+82=138", "138-76=62" ]
Current State: 62:[13, 89, 56, 82], Operations: [] Exploring Operation: 89-13=76, Resulting Numbers: [56, 82, 76] Generated Node #2: [56, 82, 76] from Operation: 89-13=76 Current State: 62:[56, 82, 76], Operations: ['89-13=76'] Exploring Operation: 56+82=138, Resulting Numbers: [76, 138] Generated Node #3: [76, 138] from Operation: 56+82=138 Current State: 62:[76, 138], Operations: ['89-13=76', '56+82=138'] Exploring Operation: 138-76=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 51, 86, 23, 37 ]
43
[ "51+23=74", "86*37=3182", "3182/74=43" ]
Current State: 43:[51, 86, 23, 37], Operations: [] Exploring Operation: 51+23=74, Resulting Numbers: [86, 37, 74] Generated Node #2: [86, 37, 74] from Operation: 51+23=74 Current State: 43:[86, 37, 74], Operations: ['51+23=74'] Exploring Operation: 86*37=3182, Resulting Numbers: [74, 3182] Generated Node #3: [74, 3182] from Operation: 86*37=3182 Current State: 43:[74, 3182], Operations: ['51+23=74', '86*37=3182'] Exploring Operation: 3182/74=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 43, 38, 5, 82 ]
83
[ "43-38=5", "5/5=1", "82+1=83" ]
Current State: 83:[43, 38, 5, 82], Operations: [] Exploring Operation: 43-38=5, Resulting Numbers: [5, 82, 5] Generated Node #2: [5, 82, 5] from Operation: 43-38=5 Current State: 83:[5, 82, 5], Operations: ['43-38=5'] Exploring Operation: 5/5=1, Resulting Numbers: [82, 1] Generated Node #3: [82, 1] from Operation: 5/5=1 Current State: 83:[82, 1], Operations: ['43-38=5', '5/5=1'] Exploring Operation: 82+1=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 56, 14, 53, 59 ]
36
[ "56-14=42", "59-53=6", "42-6=36" ]
Current State: 36:[56, 14, 53, 59], Operations: [] Exploring Operation: 56-14=42, Resulting Numbers: [53, 59, 42] Generated Node #2: [53, 59, 42] from Operation: 56-14=42 Current State: 36:[53, 59, 42], Operations: ['56-14=42'] Exploring Operation: 59-53=6, Resulting Numbers: [42, 6] Generated Node #3: [42, 6] from Operation: 59-53=6 Current State: 36:[42, 6], Operations: ['56-14=42', '59-53=6'] Exploring Operation: 42-6=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 79, 66, 13, 14 ]
80
[ "79*14=1106", "1106-66=1040", "1040/13=80" ]
Current State: 80:[79, 66, 13, 14], Operations: [] Exploring Operation: 79*14=1106, Resulting Numbers: [66, 13, 1106] Generated Node #2: [66, 13, 1106] from Operation: 79*14=1106 Current State: 80:[66, 13, 1106], Operations: ['79*14=1106'] Exploring Operation: 1106-66=1040, Resulting Numbers: [13, 1040] Generated Node #3: [13, 1040] from Operation: 1106-66=1040 Current State: 80:[13, 1040], Operations: ['79*14=1106', '1106-66=1040'] Exploring Operation: 1040/13=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 3, 25, 53, 2 ]
72
[ "3+2=5", "25*5=125", "125-53=72" ]
Current State: 72:[3, 25, 53, 2], Operations: [] Exploring Operation: 3+2=5, Resulting Numbers: [25, 53, 5] Generated Node #2: [25, 53, 5] from Operation: 3+2=5 Current State: 72:[25, 53, 5], Operations: ['3+2=5'] Exploring Operation: 25*5=125, Resulting Numbers: [53, 125] Generated Node #3: [53, 125] from Operation: 25*5=125 Current State: 72:[53, 125], Operations: ['3+2=5', '25*5=125'] Exploring Operation: 125-53=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 56, 1, 78, 88 ]
64
[ "56*88=4928", "78-1=77", "4928/77=64" ]
Current State: 64:[56, 1, 78, 88], Operations: [] Exploring Operation: 56*88=4928, Resulting Numbers: [1, 78, 4928] Generated Node #2: [1, 78, 4928] from Operation: 56*88=4928 Current State: 64:[1, 78, 4928], Operations: ['56*88=4928'] Exploring Operation: 78-1=77, Resulting Numbers: [4928, 77] Generated Node #3: [4928, 77] from Operation: 78-1=77 Current State: 64:[4928, 77], Operations: ['56*88=4928', '78-1=77'] Exploring Operation: 4928/77=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 26, 41, 43, 64 ]
51
[ "43-41=2", "26/2=13", "64-13=51" ]
Current State: 51:[26, 41, 43, 64], Operations: [] Exploring Operation: 43-41=2, Resulting Numbers: [26, 64, 2] Generated Node #2: [26, 64, 2] from Operation: 43-41=2 Current State: 51:[26, 64, 2], Operations: ['43-41=2'] Exploring Operation: 26/2=13, Resulting Numbers: [64, 13] Generated Node #3: [64, 13] from Operation: 26/2=13 Current State: 51:[64, 13], Operations: ['43-41=2', '26/2=13'] Exploring Operation: 64-13=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 74, 43, 15, 12 ]
93
[ "74-43=31", "15-12=3", "31*3=93" ]
Current State: 93:[74, 43, 15, 12], Operations: [] Exploring Operation: 74-43=31, Resulting Numbers: [15, 12, 31] Generated Node #2: [15, 12, 31] from Operation: 74-43=31 Current State: 93:[15, 12, 31], Operations: ['74-43=31'] Exploring Operation: 15-12=3, Resulting Numbers: [31, 3] Generated Node #3: [31, 3] from Operation: 15-12=3 Current State: 93:[31, 3], Operations: ['74-43=31', '15-12=3'] Exploring Operation: 31*3=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 50, 73, 60, 25 ]
62
[ "73-50=23", "60+25=85", "85-23=62" ]
Current State: 62:[50, 73, 60, 25], Operations: [] Exploring Operation: 73-50=23, Resulting Numbers: [60, 25, 23] Generated Node #2: [60, 25, 23] from Operation: 73-50=23 Current State: 62:[60, 25, 23], Operations: ['73-50=23'] Exploring Operation: 60+25=85, Resulting Numbers: [23, 85] Generated Node #3: [23, 85] from Operation: 60+25=85 Current State: 62:[23, 85], Operations: ['73-50=23', '60+25=85'] Exploring Operation: 85-23=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 50, 67, 23, 19 ]
75
[ "50+67=117", "23+19=42", "117-42=75" ]
Current State: 75:[50, 67, 23, 19], Operations: [] Exploring Operation: 50+67=117, Resulting Numbers: [23, 19, 117] Generated Node #2: [23, 19, 117] from Operation: 50+67=117 Current State: 75:[23, 19, 117], Operations: ['50+67=117'] Exploring Operation: 23+19=42, Resulting Numbers: [117, 42] Generated Node #3: [117, 42] from Operation: 23+19=42 Current State: 75:[117, 42], Operations: ['50+67=117', '23+19=42'] Exploring Operation: 117-42=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 6, 12, 31, 32 ]
30
[ "12/6=2", "31*2=62", "62-32=30" ]
Current State: 30:[6, 12, 31, 32], Operations: [] Exploring Operation: 12/6=2, Resulting Numbers: [31, 32, 2] Generated Node #2: [31, 32, 2] from Operation: 12/6=2 Current State: 30:[31, 32, 2], Operations: ['12/6=2'] Exploring Operation: 31*2=62, Resulting Numbers: [32, 62] Generated Node #3: [32, 62] from Operation: 31*2=62 Current State: 30:[32, 62], Operations: ['12/6=2', '31*2=62'] Exploring Operation: 62-32=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 57, 57, 18, 42 ]
24
[ "57-57=0", "42-18=24", "0+24=24" ]
Current State: 24:[57, 57, 18, 42], Operations: [] Exploring Operation: 57-57=0, Resulting Numbers: [18, 42, 0] Generated Node #2: [18, 42, 0] from Operation: 57-57=0 Current State: 24:[18, 42, 0], Operations: ['57-57=0'] Exploring Operation: 42-18=24, Resulting Numbers: [0, 24] Generated Node #3: [0, 24] from Operation: 42-18=24 Current State: 24:[0, 24], Operations: ['57-57=0', '42-18=24'] Exploring Operation: 0+24=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 41, 6, 10, 28 ]
85
[ "41+6=47", "10+28=38", "47+38=85" ]
Current State: 85:[41, 6, 10, 28], Operations: [] Exploring Operation: 41+6=47, Resulting Numbers: [10, 28, 47] Generated Node #2: [10, 28, 47] from Operation: 41+6=47 Current State: 85:[10, 28, 47], Operations: ['41+6=47'] Exploring Operation: 10+28=38, Resulting Numbers: [47, 38] Generated Node #3: [47, 38] from Operation: 10+28=38 Current State: 85:[47, 38], Operations: ['41+6=47', '10+28=38'] Exploring Operation: 47+38=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 65, 24, 11, 80 ]
96
[ "65+11=76", "80-76=4", "24*4=96" ]
Current State: 96:[65, 24, 11, 80], Operations: [] Exploring Operation: 65+11=76, Resulting Numbers: [24, 80, 76] Generated Node #2: [24, 80, 76] from Operation: 65+11=76 Current State: 96:[24, 80, 76], Operations: ['65+11=76'] Exploring Operation: 80-76=4, Resulting Numbers: [24, 4] Generated Node #3: [24, 4] from Operation: 80-76=4 Current State: 96:[24, 4], Operations: ['65+11=76', '80-76=4'] Exploring Operation: 24*4=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 65, 97, 23, 28 ]
68
[ "97-28=69", "69/23=3", "65+3=68" ]
Current State: 68:[65, 97, 23, 28], Operations: [] Exploring Operation: 97-28=69, Resulting Numbers: [65, 23, 69] Generated Node #2: [65, 23, 69] from Operation: 97-28=69 Current State: 68:[65, 23, 69], Operations: ['97-28=69'] Exploring Operation: 69/23=3, Resulting Numbers: [65, 3] Generated Node #3: [65, 3] from Operation: 69/23=3 Current State: 68:[65, 3], Operations: ['97-28=69', '69/23=3'] Exploring Operation: 65+3=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 48, 51, 54, 2 ]
99
[ "48*2=96", "54-51=3", "96+3=99" ]
Current State: 99:[48, 51, 54, 2], Operations: [] Exploring Operation: 48*2=96, Resulting Numbers: [51, 54, 96] Generated Node #2: [51, 54, 96] from Operation: 48*2=96 Current State: 99:[51, 54, 96], Operations: ['48*2=96'] Exploring Operation: 54-51=3, Resulting Numbers: [96, 3] Generated Node #3: [96, 3] from Operation: 54-51=3 Current State: 99:[96, 3], Operations: ['48*2=96', '54-51=3'] Exploring Operation: 96+3=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 45, 51, 79, 18 ]
55
[ "51-45=6", "79-18=61", "61-6=55" ]
Current State: 55:[45, 51, 79, 18], Operations: [] Exploring Operation: 51-45=6, Resulting Numbers: [79, 18, 6] Generated Node #2: [79, 18, 6] from Operation: 51-45=6 Current State: 55:[79, 18, 6], Operations: ['51-45=6'] Exploring Operation: 79-18=61, Resulting Numbers: [6, 61] Generated Node #3: [6, 61] from Operation: 79-18=61 Current State: 55:[6, 61], Operations: ['51-45=6', '79-18=61'] Exploring Operation: 61-6=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 92, 8, 98, 30 ]
44
[ "92-8=84", "98+30=128", "128-84=44" ]
Current State: 44:[92, 8, 98, 30], Operations: [] Exploring Operation: 92-8=84, Resulting Numbers: [98, 30, 84] Generated Node #2: [98, 30, 84] from Operation: 92-8=84 Current State: 44:[98, 30, 84], Operations: ['92-8=84'] Exploring Operation: 98+30=128, Resulting Numbers: [84, 128] Generated Node #3: [84, 128] from Operation: 98+30=128 Current State: 44:[84, 128], Operations: ['92-8=84', '98+30=128'] Exploring Operation: 128-84=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 2, 30, 3, 4 ]
24
[ "2+30=32", "3*32=96", "96/4=24" ]
Current State: 24:[2, 30, 3, 4], Operations: [] Exploring Operation: 2+30=32, Resulting Numbers: [3, 4, 32] Generated Node #2: [3, 4, 32] from Operation: 2+30=32 Current State: 24:[3, 4, 32], Operations: ['2+30=32'] Exploring Operation: 3*32=96, Resulting Numbers: [4, 96] Generated Node #3: [4, 96] from Operation: 3*32=96 Current State: 24:[4, 96], Operations: ['2+30=32', '3*32=96'] Exploring Operation: 96/4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 35, 36, 7, 16 ]
25
[ "35/7=5", "36-16=20", "5+20=25" ]
Current State: 25:[35, 36, 7, 16], Operations: [] Exploring Operation: 35/7=5, Resulting Numbers: [36, 16, 5] Generated Node #2: [36, 16, 5] from Operation: 35/7=5 Current State: 25:[36, 16, 5], Operations: ['35/7=5'] Exploring Operation: 36-16=20, Resulting Numbers: [5, 20] Generated Node #3: [5, 20] from Operation: 36-16=20 Current State: 25:[5, 20], Operations: ['35/7=5', '36-16=20'] Exploring Operation: 5+20=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 85, 91, 97, 70 ]
68
[ "85+97=182", "182/91=2", "70-2=68" ]
Current State: 68:[85, 91, 97, 70], Operations: [] Exploring Operation: 85+97=182, Resulting Numbers: [91, 70, 182] Generated Node #2: [91, 70, 182] from Operation: 85+97=182 Current State: 68:[91, 70, 182], Operations: ['85+97=182'] Exploring Operation: 182/91=2, Resulting Numbers: [70, 2] Generated Node #3: [70, 2] from Operation: 182/91=2 Current State: 68:[70, 2], Operations: ['85+97=182', '182/91=2'] Exploring Operation: 70-2=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 64, 21, 27, 44 ]
60
[ "64-21=43", "44-27=17", "43+17=60" ]
Current State: 60:[64, 21, 27, 44], Operations: [] Exploring Operation: 64-21=43, Resulting Numbers: [27, 44, 43] Generated Node #2: [27, 44, 43] from Operation: 64-21=43 Current State: 60:[27, 44, 43], Operations: ['64-21=43'] Exploring Operation: 44-27=17, Resulting Numbers: [43, 17] Generated Node #3: [43, 17] from Operation: 44-27=17 Current State: 60:[43, 17], Operations: ['64-21=43', '44-27=17'] Exploring Operation: 43+17=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 29, 84, 19, 36 ]
63
[ "29+19=48", "84*36=3024", "3024/48=63" ]
Current State: 63:[29, 84, 19, 36], Operations: [] Exploring Operation: 29+19=48, Resulting Numbers: [84, 36, 48] Generated Node #2: [84, 36, 48] from Operation: 29+19=48 Current State: 63:[84, 36, 48], Operations: ['29+19=48'] Exploring Operation: 84*36=3024, Resulting Numbers: [48, 3024] Generated Node #3: [48, 3024] from Operation: 84*36=3024 Current State: 63:[48, 3024], Operations: ['29+19=48', '84*36=3024'] Exploring Operation: 3024/48=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 46, 5, 38, 98 ]
18
[ "46-38=8", "98-8=90", "90/5=18" ]
Current State: 18:[46, 5, 38, 98], Operations: [] Exploring Operation: 46-38=8, Resulting Numbers: [5, 98, 8] Generated Node #2: [5, 98, 8] from Operation: 46-38=8 Current State: 18:[5, 98, 8], Operations: ['46-38=8'] Exploring Operation: 98-8=90, Resulting Numbers: [5, 90] Generated Node #3: [5, 90] from Operation: 98-8=90 Current State: 18:[5, 90], Operations: ['46-38=8', '98-8=90'] Exploring Operation: 90/5=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 72, 6, 9, 35 ]
34
[ "72+6=78", "9+35=44", "78-44=34" ]
Current State: 34:[72, 6, 9, 35], Operations: [] Exploring Operation: 72+6=78, Resulting Numbers: [9, 35, 78] Generated Node #2: [9, 35, 78] from Operation: 72+6=78 Current State: 34:[9, 35, 78], Operations: ['72+6=78'] Exploring Operation: 9+35=44, Resulting Numbers: [78, 44] Generated Node #3: [78, 44] from Operation: 9+35=44 Current State: 34:[78, 44], Operations: ['72+6=78', '9+35=44'] Exploring Operation: 78-44=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 35, 73, 66, 36 ]
64
[ "73-35=38", "66+36=102", "102-38=64" ]
Current State: 64:[35, 73, 66, 36], Operations: [] Exploring Operation: 73-35=38, Resulting Numbers: [66, 36, 38] Generated Node #2: [66, 36, 38] from Operation: 73-35=38 Current State: 64:[66, 36, 38], Operations: ['73-35=38'] Exploring Operation: 66+36=102, Resulting Numbers: [38, 102] Generated Node #3: [38, 102] from Operation: 66+36=102 Current State: 64:[38, 102], Operations: ['73-35=38', '66+36=102'] Exploring Operation: 102-38=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 75, 12, 88, 78 ]
73
[ "75-12=63", "88-78=10", "63+10=73" ]
Current State: 73:[75, 12, 88, 78], Operations: [] Exploring Operation: 75-12=63, Resulting Numbers: [88, 78, 63] Generated Node #2: [88, 78, 63] from Operation: 75-12=63 Current State: 73:[88, 78, 63], Operations: ['75-12=63'] Exploring Operation: 88-78=10, Resulting Numbers: [63, 10] Generated Node #3: [63, 10] from Operation: 88-78=10 Current State: 73:[63, 10], Operations: ['75-12=63', '88-78=10'] Exploring Operation: 63+10=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 91, 25, 69, 29 ]
40
[ "91+69=160", "29-25=4", "160/4=40" ]
Current State: 40:[91, 25, 69, 29], Operations: [] Exploring Operation: 91+69=160, Resulting Numbers: [25, 29, 160] Generated Node #2: [25, 29, 160] from Operation: 91+69=160 Current State: 40:[25, 29, 160], Operations: ['91+69=160'] Exploring Operation: 29-25=4, Resulting Numbers: [160, 4] Generated Node #3: [160, 4] from Operation: 29-25=4 Current State: 40:[160, 4], Operations: ['91+69=160', '29-25=4'] Exploring Operation: 160/4=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4