Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 19, 33, 13, 38 ]
53
[ "19*38=722", "722-33=689", "689/13=53" ]
Current State: 53:[19, 33, 13, 38], Operations: [] Exploring Operation: 19*38=722, Resulting Numbers: [33, 13, 722] Generated Node #2: [33, 13, 722] from Operation: 19*38=722 Current State: 53:[33, 13, 722], Operations: ['19*38=722'] Exploring Operation: 722-33=689, Resulting Numbers: [13, 689] Generated Node #3: [13, 689] from Operation: 722-33=689 Current State: 53:[13, 689], Operations: ['19*38=722', '722-33=689'] Exploring Operation: 689/13=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 92, 71, 55, 3 ]
62
[ "92-71=21", "21/3=7", "55+7=62" ]
Current State: 62:[92, 71, 55, 3], Operations: [] Exploring Operation: 92-71=21, Resulting Numbers: [55, 3, 21] Generated Node #2: [55, 3, 21] from Operation: 92-71=21 Current State: 62:[55, 3, 21], Operations: ['92-71=21'] Exploring Operation: 21/3=7, Resulting Numbers: [55, 7] Generated Node #3: [55, 7] from Operation: 21/3=7 Current State: 62:[55, 7], Operations: ['92-71=21', '21/3=7'] Exploring Operation: 55+7=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 11, 40, 6, 97 ]
58
[ "11+97=108", "108/6=18", "40+18=58" ]
Current State: 58:[11, 40, 6, 97], Operations: [] Exploring Operation: 11+97=108, Resulting Numbers: [40, 6, 108] Generated Node #2: [40, 6, 108] from Operation: 11+97=108 Current State: 58:[40, 6, 108], Operations: ['11+97=108'] Exploring Operation: 108/6=18, Resulting Numbers: [40, 18] Generated Node #3: [40, 18] from Operation: 108/6=18 Current State: 58:[40, 18], Operations: ['11+97=108', '108/6=18'] Exploring Operation: 40+18=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 66, 2, 7, 77 ]
53
[ "66-2=64", "77/7=11", "64-11=53" ]
Current State: 53:[66, 2, 7, 77], Operations: [] Exploring Operation: 66-2=64, Resulting Numbers: [7, 77, 64] Generated Node #2: [7, 77, 64] from Operation: 66-2=64 Current State: 53:[7, 77, 64], Operations: ['66-2=64'] Exploring Operation: 77/7=11, Resulting Numbers: [64, 11] Generated Node #3: [64, 11] from Operation: 77/7=11 Current State: 53:[64, 11], Operations: ['66-2=64', '77/7=11'] Exploring Operation: 64-11=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 9, 17, 63, 18 ]
91
[ "9+17=26", "63*26=1638", "1638/18=91" ]
Current State: 91:[9, 17, 63, 18], Operations: [] Exploring Operation: 9+17=26, Resulting Numbers: [63, 18, 26] Generated Node #2: [63, 18, 26] from Operation: 9+17=26 Current State: 91:[63, 18, 26], Operations: ['9+17=26'] Exploring Operation: 63*26=1638, Resulting Numbers: [18, 1638] Generated Node #3: [18, 1638] from Operation: 63*26=1638 Current State: 91:[18, 1638], Operations: ['9+17=26', '63*26=1638'] Exploring Operation: 1638/18=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 91, 92, 80, 44 ]
23
[ "91-80=11", "92*11=1012", "1012/44=23" ]
Current State: 23:[91, 92, 80, 44], Operations: [] Exploring Operation: 91-80=11, Resulting Numbers: [92, 44, 11] Generated Node #2: [92, 44, 11] from Operation: 91-80=11 Current State: 23:[92, 44, 11], Operations: ['91-80=11'] Exploring Operation: 92*11=1012, Resulting Numbers: [44, 1012] Generated Node #3: [44, 1012] from Operation: 92*11=1012 Current State: 23:[44, 1012], Operations: ['91-80=11', '92*11=1012'] Exploring Operation: 1012/44=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 75, 32, 45, 50 ]
48
[ "75-32=43", "50-45=5", "43+5=48" ]
Current State: 48:[75, 32, 45, 50], Operations: [] Exploring Operation: 75-32=43, Resulting Numbers: [45, 50, 43] Generated Node #2: [45, 50, 43] from Operation: 75-32=43 Current State: 48:[45, 50, 43], Operations: ['75-32=43'] Exploring Operation: 50-45=5, Resulting Numbers: [43, 5] Generated Node #3: [43, 5] from Operation: 50-45=5 Current State: 48:[43, 5], Operations: ['75-32=43', '50-45=5'] Exploring Operation: 43+5=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 41, 43, 61, 63 ]
40
[ "41+43=84", "61+63=124", "124-84=40" ]
Current State: 40:[41, 43, 61, 63], Operations: [] Exploring Operation: 41+43=84, Resulting Numbers: [61, 63, 84] Generated Node #2: [61, 63, 84] from Operation: 41+43=84 Current State: 40:[61, 63, 84], Operations: ['41+43=84'] Exploring Operation: 61+63=124, Resulting Numbers: [84, 124] Generated Node #3: [84, 124] from Operation: 61+63=124 Current State: 40:[84, 124], Operations: ['41+43=84', '61+63=124'] Exploring Operation: 124-84=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 43, 99, 25, 4 ]
98
[ "43*4=172", "99-25=74", "172-74=98" ]
Current State: 98:[43, 99, 25, 4], Operations: [] Exploring Operation: 43*4=172, Resulting Numbers: [99, 25, 172] Generated Node #2: [99, 25, 172] from Operation: 43*4=172 Current State: 98:[99, 25, 172], Operations: ['43*4=172'] Exploring Operation: 99-25=74, Resulting Numbers: [172, 74] Generated Node #3: [172, 74] from Operation: 99-25=74 Current State: 98:[172, 74], Operations: ['43*4=172', '99-25=74'] Exploring Operation: 172-74=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 27, 41, 15, 53 ]
30
[ "27+41=68", "53-15=38", "68-38=30" ]
Current State: 30:[27, 41, 15, 53], Operations: [] Exploring Operation: 27+41=68, Resulting Numbers: [15, 53, 68] Generated Node #2: [15, 53, 68] from Operation: 27+41=68 Current State: 30:[15, 53, 68], Operations: ['27+41=68'] Exploring Operation: 53-15=38, Resulting Numbers: [68, 38] Generated Node #3: [68, 38] from Operation: 53-15=38 Current State: 30:[68, 38], Operations: ['27+41=68', '53-15=38'] Exploring Operation: 68-38=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 65, 71, 92, 48 ]
38
[ "71-65=6", "92-48=44", "44-6=38" ]
Current State: 38:[65, 71, 92, 48], Operations: [] Exploring Operation: 71-65=6, Resulting Numbers: [92, 48, 6] Generated Node #2: [92, 48, 6] from Operation: 71-65=6 Current State: 38:[92, 48, 6], Operations: ['71-65=6'] Exploring Operation: 92-48=44, Resulting Numbers: [6, 44] Generated Node #3: [6, 44] from Operation: 92-48=44 Current State: 38:[6, 44], Operations: ['71-65=6', '92-48=44'] Exploring Operation: 44-6=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 13, 23, 6, 26 ]
68
[ "13+23=36", "6+26=32", "36+32=68" ]
Current State: 68:[13, 23, 6, 26], Operations: [] Exploring Operation: 13+23=36, Resulting Numbers: [6, 26, 36] Generated Node #2: [6, 26, 36] from Operation: 13+23=36 Current State: 68:[6, 26, 36], Operations: ['13+23=36'] Exploring Operation: 6+26=32, Resulting Numbers: [36, 32] Generated Node #3: [36, 32] from Operation: 6+26=32 Current State: 68:[36, 32], Operations: ['13+23=36', '6+26=32'] Exploring Operation: 36+32=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 64, 71, 55, 38 ]
86
[ "71-64=7", "55+38=93", "93-7=86" ]
Current State: 86:[64, 71, 55, 38], Operations: [] Exploring Operation: 71-64=7, Resulting Numbers: [55, 38, 7] Generated Node #2: [55, 38, 7] from Operation: 71-64=7 Current State: 86:[55, 38, 7], Operations: ['71-64=7'] Exploring Operation: 55+38=93, Resulting Numbers: [7, 93] Generated Node #3: [7, 93] from Operation: 55+38=93 Current State: 86:[7, 93], Operations: ['71-64=7', '55+38=93'] Exploring Operation: 93-7=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 72, 10, 6, 60 ]
73
[ "10*6=60", "60/60=1", "72+1=73" ]
Current State: 73:[72, 10, 6, 60], Operations: [] Exploring Operation: 10*6=60, Resulting Numbers: [72, 60, 60] Generated Node #2: [72, 60, 60] from Operation: 10*6=60 Current State: 73:[72, 60, 60], Operations: ['10*6=60'] Exploring Operation: 60/60=1, Resulting Numbers: [72, 1] Generated Node #3: [72, 1] from Operation: 60/60=1 Current State: 73:[72, 1], Operations: ['10*6=60', '60/60=1'] Exploring Operation: 72+1=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 53, 2, 5, 32 ]
11
[ "53-32=21", "2*5=10", "21-10=11" ]
Current State: 11:[53, 2, 5, 32], Operations: [] Exploring Operation: 53-32=21, Resulting Numbers: [2, 5, 21] Generated Node #2: [2, 5, 21] from Operation: 53-32=21 Current State: 11:[2, 5, 21], Operations: ['53-32=21'] Exploring Operation: 2*5=10, Resulting Numbers: [21, 10] Generated Node #3: [21, 10] from Operation: 2*5=10 Current State: 11:[21, 10], Operations: ['53-32=21', '2*5=10'] Exploring Operation: 21-10=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 91, 38, 51, 69 ]
35
[ "91-38=53", "69-51=18", "53-18=35" ]
Current State: 35:[91, 38, 51, 69], Operations: [] Exploring Operation: 91-38=53, Resulting Numbers: [51, 69, 53] Generated Node #2: [51, 69, 53] from Operation: 91-38=53 Current State: 35:[51, 69, 53], Operations: ['91-38=53'] Exploring Operation: 69-51=18, Resulting Numbers: [53, 18] Generated Node #3: [53, 18] from Operation: 69-51=18 Current State: 35:[53, 18], Operations: ['91-38=53', '69-51=18'] Exploring Operation: 53-18=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 4, 98, 64, 62 ]
49
[ "64-4=60", "62-60=2", "98/2=49" ]
Current State: 49:[4, 98, 64, 62], Operations: [] Exploring Operation: 64-4=60, Resulting Numbers: [98, 62, 60] Generated Node #2: [98, 62, 60] from Operation: 64-4=60 Current State: 49:[98, 62, 60], Operations: ['64-4=60'] Exploring Operation: 62-60=2, Resulting Numbers: [98, 2] Generated Node #3: [98, 2] from Operation: 62-60=2 Current State: 49:[98, 2], Operations: ['64-4=60', '62-60=2'] Exploring Operation: 98/2=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 18, 49, 99, 33 ]
93
[ "49-18=31", "99/33=3", "31*3=93" ]
Current State: 93:[18, 49, 99, 33], Operations: [] Exploring Operation: 49-18=31, Resulting Numbers: [99, 33, 31] Generated Node #2: [99, 33, 31] from Operation: 49-18=31 Current State: 93:[99, 33, 31], Operations: ['49-18=31'] Exploring Operation: 99/33=3, Resulting Numbers: [31, 3] Generated Node #3: [31, 3] from Operation: 99/33=3 Current State: 93:[31, 3], Operations: ['49-18=31', '99/33=3'] Exploring Operation: 31*3=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 1, 5, 15, 85 ]
13
[ "85-15=70", "70/5=14", "14-1=13" ]
Current State: 13:[1, 5, 15, 85], Operations: [] Exploring Operation: 85-15=70, Resulting Numbers: [1, 5, 70] Generated Node #2: [1, 5, 70] from Operation: 85-15=70 Current State: 13:[1, 5, 70], Operations: ['85-15=70'] Exploring Operation: 70/5=14, Resulting Numbers: [1, 14] Generated Node #3: [1, 14] from Operation: 70/5=14 Current State: 13:[1, 14], Operations: ['85-15=70', '70/5=14'] Exploring Operation: 14-1=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 89, 24, 78, 35 ]
42
[ "89-24=65", "78*35=2730", "2730/65=42" ]
Current State: 42:[89, 24, 78, 35], Operations: [] Exploring Operation: 89-24=65, Resulting Numbers: [78, 35, 65] Generated Node #2: [78, 35, 65] from Operation: 89-24=65 Current State: 42:[78, 35, 65], Operations: ['89-24=65'] Exploring Operation: 78*35=2730, Resulting Numbers: [65, 2730] Generated Node #3: [65, 2730] from Operation: 78*35=2730 Current State: 42:[65, 2730], Operations: ['89-24=65', '78*35=2730'] Exploring Operation: 2730/65=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 22, 77, 11, 93 ]
85
[ "22/11=2", "77+93=170", "170/2=85" ]
Current State: 85:[22, 77, 11, 93], Operations: [] Exploring Operation: 22/11=2, Resulting Numbers: [77, 93, 2] Generated Node #2: [77, 93, 2] from Operation: 22/11=2 Current State: 85:[77, 93, 2], Operations: ['22/11=2'] Exploring Operation: 77+93=170, Resulting Numbers: [2, 170] Generated Node #3: [2, 170] from Operation: 77+93=170 Current State: 85:[2, 170], Operations: ['22/11=2', '77+93=170'] Exploring Operation: 170/2=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 37, 37, 73, 19 ]
54
[ "37-37=0", "73-19=54", "0+54=54" ]
Current State: 54:[37, 37, 73, 19], Operations: [] Exploring Operation: 37-37=0, Resulting Numbers: [73, 19, 0] Generated Node #2: [73, 19, 0] from Operation: 37-37=0 Current State: 54:[73, 19, 0], Operations: ['37-37=0'] Exploring Operation: 73-19=54, Resulting Numbers: [0, 54] Generated Node #3: [0, 54] from Operation: 73-19=54 Current State: 54:[0, 54], Operations: ['37-37=0', '73-19=54'] Exploring Operation: 0+54=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 21, 50, 75, 78 ]
38
[ "78-21=57", "50*57=2850", "2850/75=38" ]
Current State: 38:[21, 50, 75, 78], Operations: [] Exploring Operation: 78-21=57, Resulting Numbers: [50, 75, 57] Generated Node #2: [50, 75, 57] from Operation: 78-21=57 Current State: 38:[50, 75, 57], Operations: ['78-21=57'] Exploring Operation: 50*57=2850, Resulting Numbers: [75, 2850] Generated Node #3: [75, 2850] from Operation: 50*57=2850 Current State: 38:[75, 2850], Operations: ['78-21=57', '50*57=2850'] Exploring Operation: 2850/75=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 61, 4, 58, 75 ]
68
[ "61+4=65", "58+75=133", "133-65=68" ]
Current State: 68:[61, 4, 58, 75], Operations: [] Exploring Operation: 61+4=65, Resulting Numbers: [58, 75, 65] Generated Node #2: [58, 75, 65] from Operation: 61+4=65 Current State: 68:[58, 75, 65], Operations: ['61+4=65'] Exploring Operation: 58+75=133, Resulting Numbers: [65, 133] Generated Node #3: [65, 133] from Operation: 58+75=133 Current State: 68:[65, 133], Operations: ['61+4=65', '58+75=133'] Exploring Operation: 133-65=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 48, 14, 19, 3 ]
71
[ "48-19=29", "14*3=42", "29+42=71" ]
Current State: 71:[48, 14, 19, 3], Operations: [] Exploring Operation: 48-19=29, Resulting Numbers: [14, 3, 29] Generated Node #2: [14, 3, 29] from Operation: 48-19=29 Current State: 71:[14, 3, 29], Operations: ['48-19=29'] Exploring Operation: 14*3=42, Resulting Numbers: [29, 42] Generated Node #3: [29, 42] from Operation: 14*3=42 Current State: 71:[29, 42], Operations: ['48-19=29', '14*3=42'] Exploring Operation: 29+42=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 92, 42, 73, 67 ]
99
[ "73-67=6", "42/6=7", "92+7=99" ]
Current State: 99:[92, 42, 73, 67], Operations: [] Exploring Operation: 73-67=6, Resulting Numbers: [92, 42, 6] Generated Node #2: [92, 42, 6] from Operation: 73-67=6 Current State: 99:[92, 42, 6], Operations: ['73-67=6'] Exploring Operation: 42/6=7, Resulting Numbers: [92, 7] Generated Node #3: [92, 7] from Operation: 42/6=7 Current State: 99:[92, 7], Operations: ['73-67=6', '42/6=7'] Exploring Operation: 92+7=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 41, 99, 5, 8 ]
54
[ "99+5=104", "104/8=13", "41+13=54" ]
Current State: 54:[41, 99, 5, 8], Operations: [] Exploring Operation: 99+5=104, Resulting Numbers: [41, 8, 104] Generated Node #2: [41, 8, 104] from Operation: 99+5=104 Current State: 54:[41, 8, 104], Operations: ['99+5=104'] Exploring Operation: 104/8=13, Resulting Numbers: [41, 13] Generated Node #3: [41, 13] from Operation: 104/8=13 Current State: 54:[41, 13], Operations: ['99+5=104', '104/8=13'] Exploring Operation: 41+13=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 44, 15, 61, 32 ]
88
[ "44+15=59", "61-32=29", "59+29=88" ]
Current State: 88:[44, 15, 61, 32], Operations: [] Exploring Operation: 44+15=59, Resulting Numbers: [61, 32, 59] Generated Node #2: [61, 32, 59] from Operation: 44+15=59 Current State: 88:[61, 32, 59], Operations: ['44+15=59'] Exploring Operation: 61-32=29, Resulting Numbers: [59, 29] Generated Node #3: [59, 29] from Operation: 61-32=29 Current State: 88:[59, 29], Operations: ['44+15=59', '61-32=29'] Exploring Operation: 59+29=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 5, 90, 40, 46 ]
68
[ "90/5=18", "40+46=86", "86-18=68" ]
Current State: 68:[5, 90, 40, 46], Operations: [] Exploring Operation: 90/5=18, Resulting Numbers: [40, 46, 18] Generated Node #2: [40, 46, 18] from Operation: 90/5=18 Current State: 68:[40, 46, 18], Operations: ['90/5=18'] Exploring Operation: 40+46=86, Resulting Numbers: [18, 86] Generated Node #3: [18, 86] from Operation: 40+46=86 Current State: 68:[18, 86], Operations: ['90/5=18', '40+46=86'] Exploring Operation: 86-18=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 22, 13, 62, 25 ]
19
[ "13+62=75", "75/25=3", "22-3=19" ]
Current State: 19:[22, 13, 62, 25], Operations: [] Exploring Operation: 13+62=75, Resulting Numbers: [22, 25, 75] Generated Node #2: [22, 25, 75] from Operation: 13+62=75 Current State: 19:[22, 25, 75], Operations: ['13+62=75'] Exploring Operation: 75/25=3, Resulting Numbers: [22, 3] Generated Node #3: [22, 3] from Operation: 75/25=3 Current State: 19:[22, 3], Operations: ['13+62=75', '75/25=3'] Exploring Operation: 22-3=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 22, 44, 88, 17 ]
93
[ "44-22=22", "88-17=71", "22+71=93" ]
Current State: 93:[22, 44, 88, 17], Operations: [] Exploring Operation: 44-22=22, Resulting Numbers: [88, 17, 22] Generated Node #2: [88, 17, 22] from Operation: 44-22=22 Current State: 93:[88, 17, 22], Operations: ['44-22=22'] Exploring Operation: 88-17=71, Resulting Numbers: [22, 71] Generated Node #3: [22, 71] from Operation: 88-17=71 Current State: 93:[22, 71], Operations: ['44-22=22', '88-17=71'] Exploring Operation: 22+71=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 57, 49, 53, 72 ]
60
[ "72-57=15", "53-49=4", "15*4=60" ]
Current State: 60:[57, 49, 53, 72], Operations: [] Exploring Operation: 72-57=15, Resulting Numbers: [49, 53, 15] Generated Node #2: [49, 53, 15] from Operation: 72-57=15 Current State: 60:[49, 53, 15], Operations: ['72-57=15'] Exploring Operation: 53-49=4, Resulting Numbers: [15, 4] Generated Node #3: [15, 4] from Operation: 53-49=4 Current State: 60:[15, 4], Operations: ['72-57=15', '53-49=4'] Exploring Operation: 15*4=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 66, 43, 90, 62 ]
82
[ "66-62=4", "43*4=172", "172-90=82" ]
Current State: 82:[66, 43, 90, 62], Operations: [] Exploring Operation: 66-62=4, Resulting Numbers: [43, 90, 4] Generated Node #2: [43, 90, 4] from Operation: 66-62=4 Current State: 82:[43, 90, 4], Operations: ['66-62=4'] Exploring Operation: 43*4=172, Resulting Numbers: [90, 172] Generated Node #3: [90, 172] from Operation: 43*4=172 Current State: 82:[90, 172], Operations: ['66-62=4', '43*4=172'] Exploring Operation: 172-90=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 15, 71, 53, 4 ]
48
[ "71+4=75", "75/15=5", "53-5=48" ]
Current State: 48:[15, 71, 53, 4], Operations: [] Exploring Operation: 71+4=75, Resulting Numbers: [15, 53, 75] Generated Node #2: [15, 53, 75] from Operation: 71+4=75 Current State: 48:[15, 53, 75], Operations: ['71+4=75'] Exploring Operation: 75/15=5, Resulting Numbers: [53, 5] Generated Node #3: [53, 5] from Operation: 75/15=5 Current State: 48:[53, 5], Operations: ['71+4=75', '75/15=5'] Exploring Operation: 53-5=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 14, 40, 8, 16 ]
23
[ "14*16=224", "224-40=184", "184/8=23" ]
Current State: 23:[14, 40, 8, 16], Operations: [] Exploring Operation: 14*16=224, Resulting Numbers: [40, 8, 224] Generated Node #2: [40, 8, 224] from Operation: 14*16=224 Current State: 23:[40, 8, 224], Operations: ['14*16=224'] Exploring Operation: 224-40=184, Resulting Numbers: [8, 184] Generated Node #3: [8, 184] from Operation: 224-40=184 Current State: 23:[8, 184], Operations: ['14*16=224', '224-40=184'] Exploring Operation: 184/8=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 32, 15, 58, 87 ]
46
[ "32-15=17", "87-58=29", "17+29=46" ]
Current State: 46:[32, 15, 58, 87], Operations: [] Exploring Operation: 32-15=17, Resulting Numbers: [58, 87, 17] Generated Node #2: [58, 87, 17] from Operation: 32-15=17 Current State: 46:[58, 87, 17], Operations: ['32-15=17'] Exploring Operation: 87-58=29, Resulting Numbers: [17, 29] Generated Node #3: [17, 29] from Operation: 87-58=29 Current State: 46:[17, 29], Operations: ['32-15=17', '87-58=29'] Exploring Operation: 17+29=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 91, 26, 56, 83 ]
19
[ "91-83=8", "56/8=7", "26-7=19" ]
Current State: 19:[91, 26, 56, 83], Operations: [] Exploring Operation: 91-83=8, Resulting Numbers: [26, 56, 8] Generated Node #2: [26, 56, 8] from Operation: 91-83=8 Current State: 19:[26, 56, 8], Operations: ['91-83=8'] Exploring Operation: 56/8=7, Resulting Numbers: [26, 7] Generated Node #3: [26, 7] from Operation: 56/8=7 Current State: 19:[26, 7], Operations: ['91-83=8', '56/8=7'] Exploring Operation: 26-7=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 24, 11, 45, 19 ]
100
[ "24-19=5", "11*5=55", "45+55=100" ]
Current State: 100:[24, 11, 45, 19], Operations: [] Exploring Operation: 24-19=5, Resulting Numbers: [11, 45, 5] Generated Node #2: [11, 45, 5] from Operation: 24-19=5 Current State: 100:[11, 45, 5], Operations: ['24-19=5'] Exploring Operation: 11*5=55, Resulting Numbers: [45, 55] Generated Node #3: [45, 55] from Operation: 11*5=55 Current State: 100:[45, 55], Operations: ['24-19=5', '11*5=55'] Exploring Operation: 45+55=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 15, 21, 46, 21 ]
46
[ "21-21=0", "15*0=0", "46+0=46" ]
Current State: 46:[15, 21, 46, 21], Operations: [] Exploring Operation: 21-21=0, Resulting Numbers: [15, 46, 0] Generated Node #2: [15, 46, 0] from Operation: 21-21=0 Current State: 46:[15, 46, 0], Operations: ['21-21=0'] Exploring Operation: 15*0=0, Resulting Numbers: [46, 0] Generated Node #3: [46, 0] from Operation: 15*0=0 Current State: 46:[46, 0], Operations: ['21-21=0', '15*0=0'] Exploring Operation: 46+0=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 79, 5, 27, 6 ]
44
[ "79+6=85", "85/5=17", "27+17=44" ]
Current State: 44:[79, 5, 27, 6], Operations: [] Exploring Operation: 79+6=85, Resulting Numbers: [5, 27, 85] Generated Node #2: [5, 27, 85] from Operation: 79+6=85 Current State: 44:[5, 27, 85], Operations: ['79+6=85'] Exploring Operation: 85/5=17, Resulting Numbers: [27, 17] Generated Node #3: [27, 17] from Operation: 85/5=17 Current State: 44:[27, 17], Operations: ['79+6=85', '85/5=17'] Exploring Operation: 27+17=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 32, 94, 50, 23 ]
53
[ "32+94=126", "50+23=73", "126-73=53" ]
Current State: 53:[32, 94, 50, 23], Operations: [] Exploring Operation: 32+94=126, Resulting Numbers: [50, 23, 126] Generated Node #2: [50, 23, 126] from Operation: 32+94=126 Current State: 53:[50, 23, 126], Operations: ['32+94=126'] Exploring Operation: 50+23=73, Resulting Numbers: [126, 73] Generated Node #3: [126, 73] from Operation: 50+23=73 Current State: 53:[126, 73], Operations: ['32+94=126', '50+23=73'] Exploring Operation: 126-73=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 51, 88, 84, 7 ]
82
[ "51-7=44", "88/44=2", "84-2=82" ]
Current State: 82:[51, 88, 84, 7], Operations: [] Exploring Operation: 51-7=44, Resulting Numbers: [88, 84, 44] Generated Node #2: [88, 84, 44] from Operation: 51-7=44 Current State: 82:[88, 84, 44], Operations: ['51-7=44'] Exploring Operation: 88/44=2, Resulting Numbers: [84, 2] Generated Node #3: [84, 2] from Operation: 88/44=2 Current State: 82:[84, 2], Operations: ['51-7=44', '88/44=2'] Exploring Operation: 84-2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 33, 66, 52, 75 ]
76
[ "33+66=99", "75-52=23", "99-23=76" ]
Current State: 76:[33, 66, 52, 75], Operations: [] Exploring Operation: 33+66=99, Resulting Numbers: [52, 75, 99] Generated Node #2: [52, 75, 99] from Operation: 33+66=99 Current State: 76:[52, 75, 99], Operations: ['33+66=99'] Exploring Operation: 75-52=23, Resulting Numbers: [99, 23] Generated Node #3: [99, 23] from Operation: 75-52=23 Current State: 76:[99, 23], Operations: ['33+66=99', '75-52=23'] Exploring Operation: 99-23=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 87, 8, 80, 79 ]
94
[ "87+8=95", "80-79=1", "95-1=94" ]
Current State: 94:[87, 8, 80, 79], Operations: [] Exploring Operation: 87+8=95, Resulting Numbers: [80, 79, 95] Generated Node #2: [80, 79, 95] from Operation: 87+8=95 Current State: 94:[80, 79, 95], Operations: ['87+8=95'] Exploring Operation: 80-79=1, Resulting Numbers: [95, 1] Generated Node #3: [95, 1] from Operation: 80-79=1 Current State: 94:[95, 1], Operations: ['87+8=95', '80-79=1'] Exploring Operation: 95-1=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 16, 66, 58, 86 ]
22
[ "66-16=50", "86-58=28", "50-28=22" ]
Current State: 22:[16, 66, 58, 86], Operations: [] Exploring Operation: 66-16=50, Resulting Numbers: [58, 86, 50] Generated Node #2: [58, 86, 50] from Operation: 66-16=50 Current State: 22:[58, 86, 50], Operations: ['66-16=50'] Exploring Operation: 86-58=28, Resulting Numbers: [50, 28] Generated Node #3: [50, 28] from Operation: 86-58=28 Current State: 22:[50, 28], Operations: ['66-16=50', '86-58=28'] Exploring Operation: 50-28=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 26, 3, 12, 49 ]
39
[ "26+49=75", "3*12=36", "75-36=39" ]
Current State: 39:[26, 3, 12, 49], Operations: [] Exploring Operation: 26+49=75, Resulting Numbers: [3, 12, 75] Generated Node #2: [3, 12, 75] from Operation: 26+49=75 Current State: 39:[3, 12, 75], Operations: ['26+49=75'] Exploring Operation: 3*12=36, Resulting Numbers: [75, 36] Generated Node #3: [75, 36] from Operation: 3*12=36 Current State: 39:[75, 36], Operations: ['26+49=75', '3*12=36'] Exploring Operation: 75-36=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 14, 43, 47, 75 ]
85
[ "14+43=57", "75-47=28", "57+28=85" ]
Current State: 85:[14, 43, 47, 75], Operations: [] Exploring Operation: 14+43=57, Resulting Numbers: [47, 75, 57] Generated Node #2: [47, 75, 57] from Operation: 14+43=57 Current State: 85:[47, 75, 57], Operations: ['14+43=57'] Exploring Operation: 75-47=28, Resulting Numbers: [57, 28] Generated Node #3: [57, 28] from Operation: 75-47=28 Current State: 85:[57, 28], Operations: ['14+43=57', '75-47=28'] Exploring Operation: 57+28=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 18, 40, 76, 51 ]
49
[ "76-40=36", "36/18=2", "51-2=49" ]
Current State: 49:[18, 40, 76, 51], Operations: [] Exploring Operation: 76-40=36, Resulting Numbers: [18, 51, 36] Generated Node #2: [18, 51, 36] from Operation: 76-40=36 Current State: 49:[18, 51, 36], Operations: ['76-40=36'] Exploring Operation: 36/18=2, Resulting Numbers: [51, 2] Generated Node #3: [51, 2] from Operation: 36/18=2 Current State: 49:[51, 2], Operations: ['76-40=36', '36/18=2'] Exploring Operation: 51-2=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 62, 18, 60, 30 ]
26
[ "18*60=1080", "1080/30=36", "62-36=26" ]
Current State: 26:[62, 18, 60, 30], Operations: [] Exploring Operation: 18*60=1080, Resulting Numbers: [62, 30, 1080] Generated Node #2: [62, 30, 1080] from Operation: 18*60=1080 Current State: 26:[62, 30, 1080], Operations: ['18*60=1080'] Exploring Operation: 1080/30=36, Resulting Numbers: [62, 36] Generated Node #3: [62, 36] from Operation: 1080/30=36 Current State: 26:[62, 36], Operations: ['18*60=1080', '1080/30=36'] Exploring Operation: 62-36=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 78, 2, 68, 23 ]
100
[ "78+68=146", "2*23=46", "146-46=100" ]
Current State: 100:[78, 2, 68, 23], Operations: [] Exploring Operation: 78+68=146, Resulting Numbers: [2, 23, 146] Generated Node #2: [2, 23, 146] from Operation: 78+68=146 Current State: 100:[2, 23, 146], Operations: ['78+68=146'] Exploring Operation: 2*23=46, Resulting Numbers: [146, 46] Generated Node #3: [146, 46] from Operation: 2*23=46 Current State: 100:[146, 46], Operations: ['78+68=146', '2*23=46'] Exploring Operation: 146-46=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 42, 51, 27, 71 ]
89
[ "51-42=9", "27+71=98", "98-9=89" ]
Current State: 89:[42, 51, 27, 71], Operations: [] Exploring Operation: 51-42=9, Resulting Numbers: [27, 71, 9] Generated Node #2: [27, 71, 9] from Operation: 51-42=9 Current State: 89:[27, 71, 9], Operations: ['51-42=9'] Exploring Operation: 27+71=98, Resulting Numbers: [9, 98] Generated Node #3: [9, 98] from Operation: 27+71=98 Current State: 89:[9, 98], Operations: ['51-42=9', '27+71=98'] Exploring Operation: 98-9=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 65, 64, 25, 70 ]
46
[ "65-64=1", "70-25=45", "1+45=46" ]
Current State: 46:[65, 64, 25, 70], Operations: [] Exploring Operation: 65-64=1, Resulting Numbers: [25, 70, 1] Generated Node #2: [25, 70, 1] from Operation: 65-64=1 Current State: 46:[25, 70, 1], Operations: ['65-64=1'] Exploring Operation: 70-25=45, Resulting Numbers: [1, 45] Generated Node #3: [1, 45] from Operation: 70-25=45 Current State: 46:[1, 45], Operations: ['65-64=1', '70-25=45'] Exploring Operation: 1+45=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 39, 57, 50, 54 ]
33
[ "50-39=11", "57-54=3", "11*3=33" ]
Current State: 33:[39, 57, 50, 54], Operations: [] Exploring Operation: 50-39=11, Resulting Numbers: [57, 54, 11] Generated Node #2: [57, 54, 11] from Operation: 50-39=11 Current State: 33:[57, 54, 11], Operations: ['50-39=11'] Exploring Operation: 57-54=3, Resulting Numbers: [11, 3] Generated Node #3: [11, 3] from Operation: 57-54=3 Current State: 33:[11, 3], Operations: ['50-39=11', '57-54=3'] Exploring Operation: 11*3=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 75, 30, 26, 32 ]
47
[ "75+30=105", "26+32=58", "105-58=47" ]
Current State: 47:[75, 30, 26, 32], Operations: [] Exploring Operation: 75+30=105, Resulting Numbers: [26, 32, 105] Generated Node #2: [26, 32, 105] from Operation: 75+30=105 Current State: 47:[26, 32, 105], Operations: ['75+30=105'] Exploring Operation: 26+32=58, Resulting Numbers: [105, 58] Generated Node #3: [105, 58] from Operation: 26+32=58 Current State: 47:[105, 58], Operations: ['75+30=105', '26+32=58'] Exploring Operation: 105-58=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 17, 19, 8, 51 ]
21
[ "51-19=32", "32/8=4", "17+4=21" ]
Current State: 21:[17, 19, 8, 51], Operations: [] Exploring Operation: 51-19=32, Resulting Numbers: [17, 8, 32] Generated Node #2: [17, 8, 32] from Operation: 51-19=32 Current State: 21:[17, 8, 32], Operations: ['51-19=32'] Exploring Operation: 32/8=4, Resulting Numbers: [17, 4] Generated Node #3: [17, 4] from Operation: 32/8=4 Current State: 21:[17, 4], Operations: ['51-19=32', '32/8=4'] Exploring Operation: 17+4=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 3, 30, 13, 25 ]
15
[ "30-3=27", "25-13=12", "27-12=15" ]
Current State: 15:[3, 30, 13, 25], Operations: [] Exploring Operation: 30-3=27, Resulting Numbers: [13, 25, 27] Generated Node #2: [13, 25, 27] from Operation: 30-3=27 Current State: 15:[13, 25, 27], Operations: ['30-3=27'] Exploring Operation: 25-13=12, Resulting Numbers: [27, 12] Generated Node #3: [27, 12] from Operation: 25-13=12 Current State: 15:[27, 12], Operations: ['30-3=27', '25-13=12'] Exploring Operation: 27-12=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 15, 83, 87, 93 ]
92
[ "15+83=98", "93-87=6", "98-6=92" ]
Current State: 92:[15, 83, 87, 93], Operations: [] Exploring Operation: 15+83=98, Resulting Numbers: [87, 93, 98] Generated Node #2: [87, 93, 98] from Operation: 15+83=98 Current State: 92:[87, 93, 98], Operations: ['15+83=98'] Exploring Operation: 93-87=6, Resulting Numbers: [98, 6] Generated Node #3: [98, 6] from Operation: 93-87=6 Current State: 92:[98, 6], Operations: ['15+83=98', '93-87=6'] Exploring Operation: 98-6=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 99, 60, 5, 41 ]
70
[ "99-41=58", "60/5=12", "58+12=70" ]
Current State: 70:[99, 60, 5, 41], Operations: [] Exploring Operation: 99-41=58, Resulting Numbers: [60, 5, 58] Generated Node #2: [60, 5, 58] from Operation: 99-41=58 Current State: 70:[60, 5, 58], Operations: ['99-41=58'] Exploring Operation: 60/5=12, Resulting Numbers: [58, 12] Generated Node #3: [58, 12] from Operation: 60/5=12 Current State: 70:[58, 12], Operations: ['99-41=58', '60/5=12'] Exploring Operation: 58+12=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 80, 61, 2, 55 ]
18
[ "80-61=19", "55-19=36", "36/2=18" ]
Current State: 18:[80, 61, 2, 55], Operations: [] Exploring Operation: 80-61=19, Resulting Numbers: [2, 55, 19] Generated Node #2: [2, 55, 19] from Operation: 80-61=19 Current State: 18:[2, 55, 19], Operations: ['80-61=19'] Exploring Operation: 55-19=36, Resulting Numbers: [2, 36] Generated Node #3: [2, 36] from Operation: 55-19=36 Current State: 18:[2, 36], Operations: ['80-61=19', '55-19=36'] Exploring Operation: 36/2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 70, 27, 89, 79 ]
92
[ "79-70=9", "27/9=3", "89+3=92" ]
Current State: 92:[70, 27, 89, 79], Operations: [] Exploring Operation: 79-70=9, Resulting Numbers: [27, 89, 9] Generated Node #2: [27, 89, 9] from Operation: 79-70=9 Current State: 92:[27, 89, 9], Operations: ['79-70=9'] Exploring Operation: 27/9=3, Resulting Numbers: [89, 3] Generated Node #3: [89, 3] from Operation: 27/9=3 Current State: 92:[89, 3], Operations: ['79-70=9', '27/9=3'] Exploring Operation: 89+3=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 72, 37, 22, 31 ]
100
[ "72+37=109", "31-22=9", "109-9=100" ]
Current State: 100:[72, 37, 22, 31], Operations: [] Exploring Operation: 72+37=109, Resulting Numbers: [22, 31, 109] Generated Node #2: [22, 31, 109] from Operation: 72+37=109 Current State: 100:[22, 31, 109], Operations: ['72+37=109'] Exploring Operation: 31-22=9, Resulting Numbers: [109, 9] Generated Node #3: [109, 9] from Operation: 31-22=9 Current State: 100:[109, 9], Operations: ['72+37=109', '31-22=9'] Exploring Operation: 109-9=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 2, 62, 18, 43 ]
74
[ "62+18=80", "80-43=37", "2*37=74" ]
Current State: 74:[2, 62, 18, 43], Operations: [] Exploring Operation: 62+18=80, Resulting Numbers: [2, 43, 80] Generated Node #2: [2, 43, 80] from Operation: 62+18=80 Current State: 74:[2, 43, 80], Operations: ['62+18=80'] Exploring Operation: 80-43=37, Resulting Numbers: [2, 37] Generated Node #3: [2, 37] from Operation: 80-43=37 Current State: 74:[2, 37], Operations: ['62+18=80', '80-43=37'] Exploring Operation: 2*37=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 11, 24, 42, 2 ]
65
[ "11+42=53", "24/2=12", "53+12=65" ]
Current State: 65:[11, 24, 42, 2], Operations: [] Exploring Operation: 11+42=53, Resulting Numbers: [24, 2, 53] Generated Node #2: [24, 2, 53] from Operation: 11+42=53 Current State: 65:[24, 2, 53], Operations: ['11+42=53'] Exploring Operation: 24/2=12, Resulting Numbers: [53, 12] Generated Node #3: [53, 12] from Operation: 24/2=12 Current State: 65:[53, 12], Operations: ['11+42=53', '24/2=12'] Exploring Operation: 53+12=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 45, 13, 11, 75 ]
40
[ "13+11=24", "75*24=1800", "1800/45=40" ]
Current State: 40:[45, 13, 11, 75], Operations: [] Exploring Operation: 13+11=24, Resulting Numbers: [45, 75, 24] Generated Node #2: [45, 75, 24] from Operation: 13+11=24 Current State: 40:[45, 75, 24], Operations: ['13+11=24'] Exploring Operation: 75*24=1800, Resulting Numbers: [45, 1800] Generated Node #3: [45, 1800] from Operation: 75*24=1800 Current State: 40:[45, 1800], Operations: ['13+11=24', '75*24=1800'] Exploring Operation: 1800/45=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 70, 96, 97, 58 ]
13
[ "96-70=26", "97-58=39", "39-26=13" ]
Current State: 13:[70, 96, 97, 58], Operations: [] Exploring Operation: 96-70=26, Resulting Numbers: [97, 58, 26] Generated Node #2: [97, 58, 26] from Operation: 96-70=26 Current State: 13:[97, 58, 26], Operations: ['96-70=26'] Exploring Operation: 97-58=39, Resulting Numbers: [26, 39] Generated Node #3: [26, 39] from Operation: 97-58=39 Current State: 13:[26, 39], Operations: ['96-70=26', '97-58=39'] Exploring Operation: 39-26=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 36, 99, 25, 52 ]
58
[ "36+99=135", "25+52=77", "135-77=58" ]
Current State: 58:[36, 99, 25, 52], Operations: [] Exploring Operation: 36+99=135, Resulting Numbers: [25, 52, 135] Generated Node #2: [25, 52, 135] from Operation: 36+99=135 Current State: 58:[25, 52, 135], Operations: ['36+99=135'] Exploring Operation: 25+52=77, Resulting Numbers: [135, 77] Generated Node #3: [135, 77] from Operation: 25+52=77 Current State: 58:[135, 77], Operations: ['36+99=135', '25+52=77'] Exploring Operation: 135-77=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 11, 29, 4, 85 ]
53
[ "11+85=96", "96/4=24", "29+24=53" ]
Current State: 53:[11, 29, 4, 85], Operations: [] Exploring Operation: 11+85=96, Resulting Numbers: [29, 4, 96] Generated Node #2: [29, 4, 96] from Operation: 11+85=96 Current State: 53:[29, 4, 96], Operations: ['11+85=96'] Exploring Operation: 96/4=24, Resulting Numbers: [29, 24] Generated Node #3: [29, 24] from Operation: 96/4=24 Current State: 53:[29, 24], Operations: ['11+85=96', '96/4=24'] Exploring Operation: 29+24=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 17, 39, 65, 53 ]
34
[ "39-17=22", "65-53=12", "22+12=34" ]
Current State: 34:[17, 39, 65, 53], Operations: [] Exploring Operation: 39-17=22, Resulting Numbers: [65, 53, 22] Generated Node #2: [65, 53, 22] from Operation: 39-17=22 Current State: 34:[65, 53, 22], Operations: ['39-17=22'] Exploring Operation: 65-53=12, Resulting Numbers: [22, 12] Generated Node #3: [22, 12] from Operation: 65-53=12 Current State: 34:[22, 12], Operations: ['39-17=22', '65-53=12'] Exploring Operation: 22+12=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 64, 15, 14, 87 ]
61
[ "15+14=29", "87/29=3", "64-3=61" ]
Current State: 61:[64, 15, 14, 87], Operations: [] Exploring Operation: 15+14=29, Resulting Numbers: [64, 87, 29] Generated Node #2: [64, 87, 29] from Operation: 15+14=29 Current State: 61:[64, 87, 29], Operations: ['15+14=29'] Exploring Operation: 87/29=3, Resulting Numbers: [64, 3] Generated Node #3: [64, 3] from Operation: 87/29=3 Current State: 61:[64, 3], Operations: ['15+14=29', '87/29=3'] Exploring Operation: 64-3=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 1, 28, 42, 15 ]
24
[ "1+15=16", "42*16=672", "672/28=24" ]
Current State: 24:[1, 28, 42, 15], Operations: [] Exploring Operation: 1+15=16, Resulting Numbers: [28, 42, 16] Generated Node #2: [28, 42, 16] from Operation: 1+15=16 Current State: 24:[28, 42, 16], Operations: ['1+15=16'] Exploring Operation: 42*16=672, Resulting Numbers: [28, 672] Generated Node #3: [28, 672] from Operation: 42*16=672 Current State: 24:[28, 672], Operations: ['1+15=16', '42*16=672'] Exploring Operation: 672/28=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 8, 15, 21, 16 ]
55
[ "21-16=5", "8*5=40", "15+40=55" ]
Current State: 55:[8, 15, 21, 16], Operations: [] Exploring Operation: 21-16=5, Resulting Numbers: [8, 15, 5] Generated Node #2: [8, 15, 5] from Operation: 21-16=5 Current State: 55:[8, 15, 5], Operations: ['21-16=5'] Exploring Operation: 8*5=40, Resulting Numbers: [15, 40] Generated Node #3: [15, 40] from Operation: 8*5=40 Current State: 55:[15, 40], Operations: ['21-16=5', '8*5=40'] Exploring Operation: 15+40=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 81, 46, 84, 86 ]
37
[ "81-46=35", "86-84=2", "35+2=37" ]
Current State: 37:[81, 46, 84, 86], Operations: [] Exploring Operation: 81-46=35, Resulting Numbers: [84, 86, 35] Generated Node #2: [84, 86, 35] from Operation: 81-46=35 Current State: 37:[84, 86, 35], Operations: ['81-46=35'] Exploring Operation: 86-84=2, Resulting Numbers: [35, 2] Generated Node #3: [35, 2] from Operation: 86-84=2 Current State: 37:[35, 2], Operations: ['81-46=35', '86-84=2'] Exploring Operation: 35+2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 41, 42, 37, 88 ]
80
[ "41-37=4", "42*4=168", "168-88=80" ]
Current State: 80:[41, 42, 37, 88], Operations: [] Exploring Operation: 41-37=4, Resulting Numbers: [42, 88, 4] Generated Node #2: [42, 88, 4] from Operation: 41-37=4 Current State: 80:[42, 88, 4], Operations: ['41-37=4'] Exploring Operation: 42*4=168, Resulting Numbers: [88, 168] Generated Node #3: [88, 168] from Operation: 42*4=168 Current State: 80:[88, 168], Operations: ['41-37=4', '42*4=168'] Exploring Operation: 168-88=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 91, 72, 65, 62 ]
57
[ "91-72=19", "65-62=3", "19*3=57" ]
Current State: 57:[91, 72, 65, 62], Operations: [] Exploring Operation: 91-72=19, Resulting Numbers: [65, 62, 19] Generated Node #2: [65, 62, 19] from Operation: 91-72=19 Current State: 57:[65, 62, 19], Operations: ['91-72=19'] Exploring Operation: 65-62=3, Resulting Numbers: [19, 3] Generated Node #3: [19, 3] from Operation: 65-62=3 Current State: 57:[19, 3], Operations: ['91-72=19', '65-62=3'] Exploring Operation: 19*3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 14, 49, 9, 8 ]
69
[ "14*9=126", "49+8=57", "126-57=69" ]
Current State: 69:[14, 49, 9, 8], Operations: [] Exploring Operation: 14*9=126, Resulting Numbers: [49, 8, 126] Generated Node #2: [49, 8, 126] from Operation: 14*9=126 Current State: 69:[49, 8, 126], Operations: ['14*9=126'] Exploring Operation: 49+8=57, Resulting Numbers: [126, 57] Generated Node #3: [126, 57] from Operation: 49+8=57 Current State: 69:[126, 57], Operations: ['14*9=126', '49+8=57'] Exploring Operation: 126-57=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 76, 56, 37, 18 ]
76
[ "56-37=19", "19-18=1", "76*1=76" ]
Current State: 76:[76, 56, 37, 18], Operations: [] Exploring Operation: 56-37=19, Resulting Numbers: [76, 18, 19] Generated Node #2: [76, 18, 19] from Operation: 56-37=19 Current State: 76:[76, 18, 19], Operations: ['56-37=19'] Exploring Operation: 19-18=1, Resulting Numbers: [76, 1] Generated Node #3: [76, 1] from Operation: 19-18=1 Current State: 76:[76, 1], Operations: ['56-37=19', '19-18=1'] Exploring Operation: 76*1=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 24, 31, 10, 40 ]
25
[ "24+31=55", "40-10=30", "55-30=25" ]
Current State: 25:[24, 31, 10, 40], Operations: [] Exploring Operation: 24+31=55, Resulting Numbers: [10, 40, 55] Generated Node #2: [10, 40, 55] from Operation: 24+31=55 Current State: 25:[10, 40, 55], Operations: ['24+31=55'] Exploring Operation: 40-10=30, Resulting Numbers: [55, 30] Generated Node #3: [55, 30] from Operation: 40-10=30 Current State: 25:[55, 30], Operations: ['24+31=55', '40-10=30'] Exploring Operation: 55-30=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 86, 64, 56, 40 ]
74
[ "86-64=22", "56+40=96", "96-22=74" ]
Current State: 74:[86, 64, 56, 40], Operations: [] Exploring Operation: 86-64=22, Resulting Numbers: [56, 40, 22] Generated Node #2: [56, 40, 22] from Operation: 86-64=22 Current State: 74:[56, 40, 22], Operations: ['86-64=22'] Exploring Operation: 56+40=96, Resulting Numbers: [22, 96] Generated Node #3: [22, 96] from Operation: 56+40=96 Current State: 74:[22, 96], Operations: ['86-64=22', '56+40=96'] Exploring Operation: 96-22=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 63, 68, 81, 11 ]
97
[ "68-63=5", "81+11=92", "5+92=97" ]
Current State: 97:[63, 68, 81, 11], Operations: [] Exploring Operation: 68-63=5, Resulting Numbers: [81, 11, 5] Generated Node #2: [81, 11, 5] from Operation: 68-63=5 Current State: 97:[81, 11, 5], Operations: ['68-63=5'] Exploring Operation: 81+11=92, Resulting Numbers: [5, 92] Generated Node #3: [5, 92] from Operation: 81+11=92 Current State: 97:[5, 92], Operations: ['68-63=5', '81+11=92'] Exploring Operation: 5+92=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 73, 67, 35, 25 ]
29
[ "73+67=140", "140/35=4", "25+4=29" ]
Current State: 29:[73, 67, 35, 25], Operations: [] Exploring Operation: 73+67=140, Resulting Numbers: [35, 25, 140] Generated Node #2: [35, 25, 140] from Operation: 73+67=140 Current State: 29:[35, 25, 140], Operations: ['73+67=140'] Exploring Operation: 140/35=4, Resulting Numbers: [25, 4] Generated Node #3: [25, 4] from Operation: 140/35=4 Current State: 29:[25, 4], Operations: ['73+67=140', '140/35=4'] Exploring Operation: 25+4=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 16, 19, 99, 52 ]
12
[ "16+19=35", "99-52=47", "47-35=12" ]
Current State: 12:[16, 19, 99, 52], Operations: [] Exploring Operation: 16+19=35, Resulting Numbers: [99, 52, 35] Generated Node #2: [99, 52, 35] from Operation: 16+19=35 Current State: 12:[99, 52, 35], Operations: ['16+19=35'] Exploring Operation: 99-52=47, Resulting Numbers: [35, 47] Generated Node #3: [35, 47] from Operation: 99-52=47 Current State: 12:[35, 47], Operations: ['16+19=35', '99-52=47'] Exploring Operation: 47-35=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 46, 29, 41, 14 ]
72
[ "46-29=17", "41+14=55", "17+55=72" ]
Current State: 72:[46, 29, 41, 14], Operations: [] Exploring Operation: 46-29=17, Resulting Numbers: [41, 14, 17] Generated Node #2: [41, 14, 17] from Operation: 46-29=17 Current State: 72:[41, 14, 17], Operations: ['46-29=17'] Exploring Operation: 41+14=55, Resulting Numbers: [17, 55] Generated Node #3: [17, 55] from Operation: 41+14=55 Current State: 72:[17, 55], Operations: ['46-29=17', '41+14=55'] Exploring Operation: 17+55=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 38, 57, 43, 44 ]
96
[ "38+57=95", "44-43=1", "95+1=96" ]
Current State: 96:[38, 57, 43, 44], Operations: [] Exploring Operation: 38+57=95, Resulting Numbers: [43, 44, 95] Generated Node #2: [43, 44, 95] from Operation: 38+57=95 Current State: 96:[43, 44, 95], Operations: ['38+57=95'] Exploring Operation: 44-43=1, Resulting Numbers: [95, 1] Generated Node #3: [95, 1] from Operation: 44-43=1 Current State: 96:[95, 1], Operations: ['38+57=95', '44-43=1'] Exploring Operation: 95+1=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 29, 27, 7, 98 ]
90
[ "29+27=56", "56/7=8", "98-8=90" ]
Current State: 90:[29, 27, 7, 98], Operations: [] Exploring Operation: 29+27=56, Resulting Numbers: [7, 98, 56] Generated Node #2: [7, 98, 56] from Operation: 29+27=56 Current State: 90:[7, 98, 56], Operations: ['29+27=56'] Exploring Operation: 56/7=8, Resulting Numbers: [98, 8] Generated Node #3: [98, 8] from Operation: 56/7=8 Current State: 90:[98, 8], Operations: ['29+27=56', '56/7=8'] Exploring Operation: 98-8=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 11, 32, 8, 74 ]
46
[ "11*8=88", "74-32=42", "88-42=46" ]
Current State: 46:[11, 32, 8, 74], Operations: [] Exploring Operation: 11*8=88, Resulting Numbers: [32, 74, 88] Generated Node #2: [32, 74, 88] from Operation: 11*8=88 Current State: 46:[32, 74, 88], Operations: ['11*8=88'] Exploring Operation: 74-32=42, Resulting Numbers: [88, 42] Generated Node #3: [88, 42] from Operation: 74-32=42 Current State: 46:[88, 42], Operations: ['11*8=88', '74-32=42'] Exploring Operation: 88-42=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 9, 58, 79, 74 ]
62
[ "9+58=67", "79-74=5", "67-5=62" ]
Current State: 62:[9, 58, 79, 74], Operations: [] Exploring Operation: 9+58=67, Resulting Numbers: [79, 74, 67] Generated Node #2: [79, 74, 67] from Operation: 9+58=67 Current State: 62:[79, 74, 67], Operations: ['9+58=67'] Exploring Operation: 79-74=5, Resulting Numbers: [67, 5] Generated Node #3: [67, 5] from Operation: 79-74=5 Current State: 62:[67, 5], Operations: ['9+58=67', '79-74=5'] Exploring Operation: 67-5=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 23, 44, 65, 36 ]
89
[ "23*65=1495", "44*36=1584", "1584-1495=89" ]
Current State: 89:[23, 44, 65, 36], Operations: [] Exploring Operation: 23*65=1495, Resulting Numbers: [44, 36, 1495] Generated Node #2: [44, 36, 1495] from Operation: 23*65=1495 Current State: 89:[44, 36, 1495], Operations: ['23*65=1495'] Exploring Operation: 44*36=1584, Resulting Numbers: [1495, 1584] Generated Node #3: [1495, 1584] from Operation: 44*36=1584 Current State: 89:[1495, 1584], Operations: ['23*65=1495', '44*36=1584'] Exploring Operation: 1584-1495=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 99, 39, 7, 2 ]
14
[ "99+7=106", "106/2=53", "53-39=14" ]
Current State: 14:[99, 39, 7, 2], Operations: [] Exploring Operation: 99+7=106, Resulting Numbers: [39, 2, 106] Generated Node #2: [39, 2, 106] from Operation: 99+7=106 Current State: 14:[39, 2, 106], Operations: ['99+7=106'] Exploring Operation: 106/2=53, Resulting Numbers: [39, 53] Generated Node #3: [39, 53] from Operation: 106/2=53 Current State: 14:[39, 53], Operations: ['99+7=106', '106/2=53'] Exploring Operation: 53-39=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 51, 79, 75, 18 ]
73
[ "51+79=130", "75-18=57", "130-57=73" ]
Current State: 73:[51, 79, 75, 18], Operations: [] Exploring Operation: 51+79=130, Resulting Numbers: [75, 18, 130] Generated Node #2: [75, 18, 130] from Operation: 51+79=130 Current State: 73:[75, 18, 130], Operations: ['51+79=130'] Exploring Operation: 75-18=57, Resulting Numbers: [130, 57] Generated Node #3: [130, 57] from Operation: 75-18=57 Current State: 73:[130, 57], Operations: ['51+79=130', '75-18=57'] Exploring Operation: 130-57=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 3, 34, 16, 73 ]
13
[ "3*34=102", "16+73=89", "102-89=13" ]
Current State: 13:[3, 34, 16, 73], Operations: [] Exploring Operation: 3*34=102, Resulting Numbers: [16, 73, 102] Generated Node #2: [16, 73, 102] from Operation: 3*34=102 Current State: 13:[16, 73, 102], Operations: ['3*34=102'] Exploring Operation: 16+73=89, Resulting Numbers: [102, 89] Generated Node #3: [102, 89] from Operation: 16+73=89 Current State: 13:[102, 89], Operations: ['3*34=102', '16+73=89'] Exploring Operation: 102-89=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 32, 76, 38, 5 ]
62
[ "32+38=70", "70/5=14", "76-14=62" ]
Current State: 62:[32, 76, 38, 5], Operations: [] Exploring Operation: 32+38=70, Resulting Numbers: [76, 5, 70] Generated Node #2: [76, 5, 70] from Operation: 32+38=70 Current State: 62:[76, 5, 70], Operations: ['32+38=70'] Exploring Operation: 70/5=14, Resulting Numbers: [76, 14] Generated Node #3: [76, 14] from Operation: 70/5=14 Current State: 62:[76, 14], Operations: ['32+38=70', '70/5=14'] Exploring Operation: 76-14=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 43, 63, 42, 57 ]
36
[ "63-57=6", "42/6=7", "43-7=36" ]
Current State: 36:[43, 63, 42, 57], Operations: [] Exploring Operation: 63-57=6, Resulting Numbers: [43, 42, 6] Generated Node #2: [43, 42, 6] from Operation: 63-57=6 Current State: 36:[43, 42, 6], Operations: ['63-57=6'] Exploring Operation: 42/6=7, Resulting Numbers: [43, 7] Generated Node #3: [43, 7] from Operation: 42/6=7 Current State: 36:[43, 7], Operations: ['63-57=6', '42/6=7'] Exploring Operation: 43-7=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 7, 3, 48, 23 ]
100
[ "7-3=4", "48-23=25", "4*25=100" ]
Current State: 100:[7, 3, 48, 23], Operations: [] Exploring Operation: 7-3=4, Resulting Numbers: [48, 23, 4] Generated Node #2: [48, 23, 4] from Operation: 7-3=4 Current State: 100:[48, 23, 4], Operations: ['7-3=4'] Exploring Operation: 48-23=25, Resulting Numbers: [4, 25] Generated Node #3: [4, 25] from Operation: 48-23=25 Current State: 100:[4, 25], Operations: ['7-3=4', '48-23=25'] Exploring Operation: 4*25=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 54, 74, 48, 87 ]
19
[ "74-54=20", "87-48=39", "39-20=19" ]
Current State: 19:[54, 74, 48, 87], Operations: [] Exploring Operation: 74-54=20, Resulting Numbers: [48, 87, 20] Generated Node #2: [48, 87, 20] from Operation: 74-54=20 Current State: 19:[48, 87, 20], Operations: ['74-54=20'] Exploring Operation: 87-48=39, Resulting Numbers: [20, 39] Generated Node #3: [20, 39] from Operation: 87-48=39 Current State: 19:[20, 39], Operations: ['74-54=20', '87-48=39'] Exploring Operation: 39-20=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 10, 44, 1, 96 ]
42
[ "10+44=54", "1*96=96", "96-54=42" ]
Current State: 42:[10, 44, 1, 96], Operations: [] Exploring Operation: 10+44=54, Resulting Numbers: [1, 96, 54] Generated Node #2: [1, 96, 54] from Operation: 10+44=54 Current State: 42:[1, 96, 54], Operations: ['10+44=54'] Exploring Operation: 1*96=96, Resulting Numbers: [54, 96] Generated Node #3: [54, 96] from Operation: 1*96=96 Current State: 42:[54, 96], Operations: ['10+44=54', '1*96=96'] Exploring Operation: 96-54=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 76, 25, 44, 8 ]
76
[ "44-25=19", "8*19=152", "152-76=76" ]
Current State: 76:[76, 25, 44, 8], Operations: [] Exploring Operation: 44-25=19, Resulting Numbers: [76, 8, 19] Generated Node #2: [76, 8, 19] from Operation: 44-25=19 Current State: 76:[76, 8, 19], Operations: ['44-25=19'] Exploring Operation: 8*19=152, Resulting Numbers: [76, 152] Generated Node #3: [76, 152] from Operation: 8*19=152 Current State: 76:[76, 152], Operations: ['44-25=19', '8*19=152'] Exploring Operation: 152-76=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 84, 47, 54, 96 ]
82
[ "47*96=4512", "4512-84=4428", "4428/54=82" ]
Current State: 82:[84, 47, 54, 96], Operations: [] Exploring Operation: 47*96=4512, Resulting Numbers: [84, 54, 4512] Generated Node #2: [84, 54, 4512] from Operation: 47*96=4512 Current State: 82:[84, 54, 4512], Operations: ['47*96=4512'] Exploring Operation: 4512-84=4428, Resulting Numbers: [54, 4428] Generated Node #3: [54, 4428] from Operation: 4512-84=4428 Current State: 82:[54, 4428], Operations: ['47*96=4512', '4512-84=4428'] Exploring Operation: 4428/54=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 20, 80, 49, 40 ]
93
[ "80/20=4", "49+40=89", "4+89=93" ]
Current State: 93:[20, 80, 49, 40], Operations: [] Exploring Operation: 80/20=4, Resulting Numbers: [49, 40, 4] Generated Node #2: [49, 40, 4] from Operation: 80/20=4 Current State: 93:[49, 40, 4], Operations: ['80/20=4'] Exploring Operation: 49+40=89, Resulting Numbers: [4, 89] Generated Node #3: [4, 89] from Operation: 49+40=89 Current State: 93:[4, 89], Operations: ['80/20=4', '49+40=89'] Exploring Operation: 4+89=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 51, 12, 35, 29 ]
57
[ "51+12=63", "35-29=6", "63-6=57" ]
Current State: 57:[51, 12, 35, 29], Operations: [] Exploring Operation: 51+12=63, Resulting Numbers: [35, 29, 63] Generated Node #2: [35, 29, 63] from Operation: 51+12=63 Current State: 57:[35, 29, 63], Operations: ['51+12=63'] Exploring Operation: 35-29=6, Resulting Numbers: [63, 6] Generated Node #3: [63, 6] from Operation: 35-29=6 Current State: 57:[63, 6], Operations: ['51+12=63', '35-29=6'] Exploring Operation: 63-6=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 60, 49, 49, 44 ]
16
[ "60+49=109", "49+44=93", "109-93=16" ]
Current State: 16:[60, 49, 49, 44], Operations: [] Exploring Operation: 60+49=109, Resulting Numbers: [44, 109] Generated Node #2: [44, 109] from Operation: 60+49=109 Current State: 16:[44, 109], Operations: ['60+49=109'] Exploring Operation: 49+44=93, Resulting Numbers: [109, 93] Generated Node #3: [109, 93] from Operation: 49+44=93 Current State: 16:[109, 93], Operations: ['60+49=109', '49+44=93'] Exploring Operation: 109-93=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4