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
[ 97, 12, 25, 44 ]
16
[ "97-12=85", "25+44=69", "85-69=16" ]
Current State: 16:[97, 12, 25, 44], Operations: [] Exploring Operation: 97-12=85, Resulting Numbers: [25, 44, 85] Generated Node #2: [25, 44, 85] from Operation: 97-12=85 Current State: 16:[25, 44, 85], Operations: ['97-12=85'] Exploring Operation: 25+44=69, Resulting Numbers: [85, 69] Generated Node #3: [85, 69] from Operation: 25+44=69 Current State: 16:[85, 69], Operations: ['97-12=85', '25+44=69'] Exploring Operation: 85-69=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 60, 6, 99, 56 ]
53
[ "60/6=10", "99-56=43", "10+43=53" ]
Current State: 53:[60, 6, 99, 56], Operations: [] Exploring Operation: 60/6=10, Resulting Numbers: [99, 56, 10] Generated Node #2: [99, 56, 10] from Operation: 60/6=10 Current State: 53:[99, 56, 10], Operations: ['60/6=10'] Exploring Operation: 99-56=43, Resulting Numbers: [10, 43] Generated Node #3: [10, 43] from Operation: 99-56=43 Current State: 53:[10, 43], Operations: ['60/6=10', '99-56=43'] Exploring Operation: 10+43=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 6, 93, 47, 54 ]
37
[ "54/6=9", "93-47=46", "46-9=37" ]
Current State: 37:[6, 93, 47, 54], Operations: [] Exploring Operation: 54/6=9, Resulting Numbers: [93, 47, 9] Generated Node #2: [93, 47, 9] from Operation: 54/6=9 Current State: 37:[93, 47, 9], Operations: ['54/6=9'] Exploring Operation: 93-47=46, Resulting Numbers: [9, 46] Generated Node #3: [9, 46] from Operation: 93-47=46 Current State: 37:[9, 46], Operations: ['54/6=9', '93-47=46'] Exploring Operation: 46-9=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 9, 34, 24, 3 ]
16
[ "9+34=43", "24+3=27", "43-27=16" ]
Current State: 16:[9, 34, 24, 3], Operations: [] Exploring Operation: 9+34=43, Resulting Numbers: [24, 3, 43] Generated Node #2: [24, 3, 43] from Operation: 9+34=43 Current State: 16:[24, 3, 43], Operations: ['9+34=43'] Exploring Operation: 24+3=27, Resulting Numbers: [43, 27] Generated Node #3: [43, 27] from Operation: 24+3=27 Current State: 16:[43, 27], Operations: ['9+34=43', '24+3=27'] Exploring Operation: 43-27=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 16, 56, 77, 85 ]
90
[ "16+56=72", "77+85=162", "162-72=90" ]
Current State: 90:[16, 56, 77, 85], Operations: [] Exploring Operation: 16+56=72, Resulting Numbers: [77, 85, 72] Generated Node #2: [77, 85, 72] from Operation: 16+56=72 Current State: 90:[77, 85, 72], Operations: ['16+56=72'] Exploring Operation: 77+85=162, Resulting Numbers: [72, 162] Generated Node #3: [72, 162] from Operation: 77+85=162 Current State: 90:[72, 162], Operations: ['16+56=72', '77+85=162'] Exploring Operation: 162-72=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 81, 92, 27, 14 ]
81
[ "92-81=11", "14-11=3", "27*3=81" ]
Current State: 81:[81, 92, 27, 14], Operations: [] Exploring Operation: 92-81=11, Resulting Numbers: [27, 14, 11] Generated Node #2: [27, 14, 11] from Operation: 92-81=11 Current State: 81:[27, 14, 11], Operations: ['92-81=11'] Exploring Operation: 14-11=3, Resulting Numbers: [27, 3] Generated Node #3: [27, 3] from Operation: 14-11=3 Current State: 81:[27, 3], Operations: ['92-81=11', '14-11=3'] Exploring Operation: 27*3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 9, 31, 43, 57 ]
54
[ "9+31=40", "57-43=14", "40+14=54" ]
Current State: 54:[9, 31, 43, 57], Operations: [] Exploring Operation: 9+31=40, Resulting Numbers: [43, 57, 40] Generated Node #2: [43, 57, 40] from Operation: 9+31=40 Current State: 54:[43, 57, 40], Operations: ['9+31=40'] Exploring Operation: 57-43=14, Resulting Numbers: [40, 14] Generated Node #3: [40, 14] from Operation: 57-43=14 Current State: 54:[40, 14], Operations: ['9+31=40', '57-43=14'] Exploring Operation: 40+14=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 4, 16, 54, 36 ]
59
[ "36-16=20", "20/4=5", "54+5=59" ]
Current State: 59:[4, 16, 54, 36], Operations: [] Exploring Operation: 36-16=20, Resulting Numbers: [4, 54, 20] Generated Node #2: [4, 54, 20] from Operation: 36-16=20 Current State: 59:[4, 54, 20], Operations: ['36-16=20'] Exploring Operation: 20/4=5, Resulting Numbers: [54, 5] Generated Node #3: [54, 5] from Operation: 20/4=5 Current State: 59:[54, 5], Operations: ['36-16=20', '20/4=5'] Exploring Operation: 54+5=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 44, 70, 26, 20 ]
20
[ "70-44=26", "26+20=46", "46-26=20" ]
Current State: 20:[44, 70, 26, 20], Operations: [] Exploring Operation: 70-44=26, Resulting Numbers: [26, 20, 26] Generated Node #2: [26, 20, 26] from Operation: 70-44=26 Current State: 20:[26, 20, 26], Operations: ['70-44=26'] Exploring Operation: 26+20=46, Resulting Numbers: [46] 46,20 equal: Goal Reached Exploring Operation: 46-26=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 61, 4, 9, 24 ]
58
[ "61-9=52", "24/4=6", "52+6=58" ]
Current State: 58:[61, 4, 9, 24], Operations: [] Exploring Operation: 61-9=52, Resulting Numbers: [4, 24, 52] Generated Node #2: [4, 24, 52] from Operation: 61-9=52 Current State: 58:[4, 24, 52], Operations: ['61-9=52'] Exploring Operation: 24/4=6, Resulting Numbers: [52, 6] Generated Node #3: [52, 6] from Operation: 24/4=6 Current State: 58:[52, 6], Operations: ['61-9=52', '24/4=6'] Exploring Operation: 52+6=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 5, 48, 11, 94 ]
87
[ "5*11=55", "48+94=142", "142-55=87" ]
Current State: 87:[5, 48, 11, 94], Operations: [] Exploring Operation: 5*11=55, Resulting Numbers: [48, 94, 55] Generated Node #2: [48, 94, 55] from Operation: 5*11=55 Current State: 87:[48, 94, 55], Operations: ['5*11=55'] Exploring Operation: 48+94=142, Resulting Numbers: [55, 142] Generated Node #3: [55, 142] from Operation: 48+94=142 Current State: 87:[55, 142], Operations: ['5*11=55', '48+94=142'] Exploring Operation: 142-55=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 7, 55, 80, 8 ]
86
[ "55-7=48", "48/8=6", "80+6=86" ]
Current State: 86:[7, 55, 80, 8], Operations: [] Exploring Operation: 55-7=48, Resulting Numbers: [80, 8, 48] Generated Node #2: [80, 8, 48] from Operation: 55-7=48 Current State: 86:[80, 8, 48], Operations: ['55-7=48'] Exploring Operation: 48/8=6, Resulting Numbers: [80, 6] Generated Node #3: [80, 6] from Operation: 48/8=6 Current State: 86:[80, 6], Operations: ['55-7=48', '48/8=6'] Exploring Operation: 80+6=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 85, 18, 34, 21 ]
48
[ "85+18=103", "34+21=55", "103-55=48" ]
Current State: 48:[85, 18, 34, 21], Operations: [] Exploring Operation: 85+18=103, Resulting Numbers: [34, 21, 103] Generated Node #2: [34, 21, 103] from Operation: 85+18=103 Current State: 48:[34, 21, 103], Operations: ['85+18=103'] Exploring Operation: 34+21=55, Resulting Numbers: [103, 55] Generated Node #3: [103, 55] from Operation: 34+21=55 Current State: 48:[103, 55], Operations: ['85+18=103', '34+21=55'] Exploring Operation: 103-55=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 13, 28, 1, 38 ]
52
[ "28-13=15", "38-1=37", "15+37=52" ]
Current State: 52:[13, 28, 1, 38], Operations: [] Exploring Operation: 28-13=15, Resulting Numbers: [1, 38, 15] Generated Node #2: [1, 38, 15] from Operation: 28-13=15 Current State: 52:[1, 38, 15], Operations: ['28-13=15'] Exploring Operation: 38-1=37, Resulting Numbers: [15, 37] Generated Node #3: [15, 37] from Operation: 38-1=37 Current State: 52:[15, 37], Operations: ['28-13=15', '38-1=37'] Exploring Operation: 15+37=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 57, 69, 84, 92 ]
99
[ "69-57=12", "84/12=7", "92+7=99" ]
Current State: 99:[57, 69, 84, 92], Operations: [] Exploring Operation: 69-57=12, Resulting Numbers: [84, 92, 12] Generated Node #2: [84, 92, 12] from Operation: 69-57=12 Current State: 99:[84, 92, 12], Operations: ['69-57=12'] Exploring Operation: 84/12=7, Resulting Numbers: [92, 7] Generated Node #3: [92, 7] from Operation: 84/12=7 Current State: 99:[92, 7], Operations: ['69-57=12', '84/12=7'] Exploring Operation: 92+7=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 40, 59, 8, 3 ]
94
[ "40+59=99", "8-3=5", "99-5=94" ]
Current State: 94:[40, 59, 8, 3], Operations: [] Exploring Operation: 40+59=99, Resulting Numbers: [8, 3, 99] Generated Node #2: [8, 3, 99] from Operation: 40+59=99 Current State: 94:[8, 3, 99], Operations: ['40+59=99'] Exploring Operation: 8-3=5, Resulting Numbers: [99, 5] Generated Node #3: [99, 5] from Operation: 8-3=5 Current State: 94:[99, 5], Operations: ['40+59=99', '8-3=5'] Exploring Operation: 99-5=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 17, 62, 46, 23 ]
68
[ "62-17=45", "46-23=23", "45+23=68" ]
Current State: 68:[17, 62, 46, 23], Operations: [] Exploring Operation: 62-17=45, Resulting Numbers: [46, 23, 45] Generated Node #2: [46, 23, 45] from Operation: 62-17=45 Current State: 68:[46, 23, 45], Operations: ['62-17=45'] Exploring Operation: 46-23=23, Resulting Numbers: [45, 23] Generated Node #3: [45, 23] from Operation: 46-23=23 Current State: 68:[45, 23], Operations: ['62-17=45', '46-23=23'] Exploring Operation: 45+23=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 37, 71, 14, 74 ]
87
[ "74/37=2", "71+14=85", "2+85=87" ]
Current State: 87:[37, 71, 14, 74], Operations: [] Exploring Operation: 74/37=2, Resulting Numbers: [71, 14, 2] Generated Node #2: [71, 14, 2] from Operation: 74/37=2 Current State: 87:[71, 14, 2], Operations: ['74/37=2'] Exploring Operation: 71+14=85, Resulting Numbers: [2, 85] Generated Node #3: [2, 85] from Operation: 71+14=85 Current State: 87:[2, 85], Operations: ['74/37=2', '71+14=85'] Exploring Operation: 2+85=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 98, 73, 17, 32 ]
71
[ "17+32=49", "98/49=2", "73-2=71" ]
Current State: 71:[98, 73, 17, 32], Operations: [] Exploring Operation: 17+32=49, Resulting Numbers: [98, 73, 49] Generated Node #2: [98, 73, 49] from Operation: 17+32=49 Current State: 71:[98, 73, 49], Operations: ['17+32=49'] Exploring Operation: 98/49=2, Resulting Numbers: [73, 2] Generated Node #3: [73, 2] from Operation: 98/49=2 Current State: 71:[73, 2], Operations: ['17+32=49', '98/49=2'] Exploring Operation: 73-2=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 56, 70, 72, 76 ]
66
[ "56+76=132", "72-70=2", "132/2=66" ]
Current State: 66:[56, 70, 72, 76], Operations: [] Exploring Operation: 56+76=132, Resulting Numbers: [70, 72, 132] Generated Node #2: [70, 72, 132] from Operation: 56+76=132 Current State: 66:[70, 72, 132], Operations: ['56+76=132'] Exploring Operation: 72-70=2, Resulting Numbers: [132, 2] Generated Node #3: [132, 2] from Operation: 72-70=2 Current State: 66:[132, 2], Operations: ['56+76=132', '72-70=2'] Exploring Operation: 132/2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 65, 12, 14, 34 ]
73
[ "65-12=53", "34-14=20", "53+20=73" ]
Current State: 73:[65, 12, 14, 34], Operations: [] Exploring Operation: 65-12=53, Resulting Numbers: [14, 34, 53] Generated Node #2: [14, 34, 53] from Operation: 65-12=53 Current State: 73:[14, 34, 53], Operations: ['65-12=53'] Exploring Operation: 34-14=20, Resulting Numbers: [53, 20] Generated Node #3: [53, 20] from Operation: 34-14=20 Current State: 73:[53, 20], Operations: ['65-12=53', '34-14=20'] Exploring Operation: 53+20=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 63, 8, 9, 19 ]
36
[ "19-8=11", "9*11=99", "99-63=36" ]
Current State: 36:[63, 8, 9, 19], Operations: [] Exploring Operation: 19-8=11, Resulting Numbers: [63, 9, 11] Generated Node #2: [63, 9, 11] from Operation: 19-8=11 Current State: 36:[63, 9, 11], Operations: ['19-8=11'] Exploring Operation: 9*11=99, Resulting Numbers: [63, 99] Generated Node #3: [63, 99] from Operation: 9*11=99 Current State: 36:[63, 99], Operations: ['19-8=11', '9*11=99'] Exploring Operation: 99-63=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 85, 58, 18, 54 ]
71
[ "85+58=143", "18+54=72", "143-72=71" ]
Current State: 71:[85, 58, 18, 54], Operations: [] Exploring Operation: 85+58=143, Resulting Numbers: [18, 54, 143] Generated Node #2: [18, 54, 143] from Operation: 85+58=143 Current State: 71:[18, 54, 143], Operations: ['85+58=143'] Exploring Operation: 18+54=72, Resulting Numbers: [143, 72] Generated Node #3: [143, 72] from Operation: 18+54=72 Current State: 71:[143, 72], Operations: ['85+58=143', '18+54=72'] Exploring Operation: 143-72=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 2, 3, 76, 54 ]
80
[ "2+76=78", "78/3=26", "54+26=80" ]
Current State: 80:[2, 3, 76, 54], Operations: [] Exploring Operation: 2+76=78, Resulting Numbers: [3, 54, 78] Generated Node #2: [3, 54, 78] from Operation: 2+76=78 Current State: 80:[3, 54, 78], Operations: ['2+76=78'] Exploring Operation: 78/3=26, Resulting Numbers: [54, 26] Generated Node #3: [54, 26] from Operation: 78/3=26 Current State: 80:[54, 26], Operations: ['2+76=78', '78/3=26'] Exploring Operation: 54+26=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 71, 16, 96, 12 ]
65
[ "71-12=59", "96/16=6", "59+6=65" ]
Current State: 65:[71, 16, 96, 12], Operations: [] Exploring Operation: 71-12=59, Resulting Numbers: [16, 96, 59] Generated Node #2: [16, 96, 59] from Operation: 71-12=59 Current State: 65:[16, 96, 59], Operations: ['71-12=59'] Exploring Operation: 96/16=6, Resulting Numbers: [59, 6] Generated Node #3: [59, 6] from Operation: 96/16=6 Current State: 65:[59, 6], Operations: ['71-12=59', '96/16=6'] Exploring Operation: 59+6=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 56, 13, 41, 44 ]
22
[ "56-13=43", "43-41=2", "44/2=22" ]
Current State: 22:[56, 13, 41, 44], Operations: [] Exploring Operation: 56-13=43, Resulting Numbers: [41, 44, 43] Generated Node #2: [41, 44, 43] from Operation: 56-13=43 Current State: 22:[41, 44, 43], Operations: ['56-13=43'] Exploring Operation: 43-41=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 43-41=2 Current State: 22:[44, 2], Operations: ['56-13=43', '43-41=2'] Exploring Operation: 44/2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 53, 8, 11, 46 ]
33
[ "53+46=99", "11-8=3", "99/3=33" ]
Current State: 33:[53, 8, 11, 46], Operations: [] Exploring Operation: 53+46=99, Resulting Numbers: [8, 11, 99] Generated Node #2: [8, 11, 99] from Operation: 53+46=99 Current State: 33:[8, 11, 99], Operations: ['53+46=99'] Exploring Operation: 11-8=3, Resulting Numbers: [99, 3] Generated Node #3: [99, 3] from Operation: 11-8=3 Current State: 33:[99, 3], Operations: ['53+46=99', '11-8=3'] Exploring Operation: 99/3=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 7, 38, 37, 77 ]
69
[ "7+38=45", "37+77=114", "114-45=69" ]
Current State: 69:[7, 38, 37, 77], Operations: [] Exploring Operation: 7+38=45, Resulting Numbers: [37, 77, 45] Generated Node #2: [37, 77, 45] from Operation: 7+38=45 Current State: 69:[37, 77, 45], Operations: ['7+38=45'] Exploring Operation: 37+77=114, Resulting Numbers: [45, 114] Generated Node #3: [45, 114] from Operation: 37+77=114 Current State: 69:[45, 114], Operations: ['7+38=45', '37+77=114'] Exploring Operation: 114-45=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 29, 13, 34, 12 ]
64
[ "29+13=42", "34-12=22", "42+22=64" ]
Current State: 64:[29, 13, 34, 12], Operations: [] Exploring Operation: 29+13=42, Resulting Numbers: [34, 12, 42] Generated Node #2: [34, 12, 42] from Operation: 29+13=42 Current State: 64:[34, 12, 42], Operations: ['29+13=42'] Exploring Operation: 34-12=22, Resulting Numbers: [42, 22] Generated Node #3: [42, 22] from Operation: 34-12=22 Current State: 64:[42, 22], Operations: ['29+13=42', '34-12=22'] Exploring Operation: 42+22=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 70, 23, 91, 9 ]
11
[ "70+23=93", "91-9=82", "93-82=11" ]
Current State: 11:[70, 23, 91, 9], Operations: [] Exploring Operation: 70+23=93, Resulting Numbers: [91, 9, 93] Generated Node #2: [91, 9, 93] from Operation: 70+23=93 Current State: 11:[91, 9, 93], Operations: ['70+23=93'] Exploring Operation: 91-9=82, Resulting Numbers: [93, 82] Generated Node #3: [93, 82] from Operation: 91-9=82 Current State: 11:[93, 82], Operations: ['70+23=93', '91-9=82'] Exploring Operation: 93-82=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 36, 9, 36, 90 ]
81
[ "36+9=45", "36+90=126", "126-45=81" ]
Current State: 81:[36, 9, 36, 90], Operations: [] Exploring Operation: 36+9=45, Resulting Numbers: [90, 45] Generated Node #2: [90, 45] from Operation: 36+9=45 Current State: 81:[90, 45], Operations: ['36+9=45'] Exploring Operation: 36+90=126, Resulting Numbers: [45, 126] Generated Node #3: [45, 126] from Operation: 36+90=126 Current State: 81:[45, 126], Operations: ['36+9=45', '36+90=126'] Exploring Operation: 126-45=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 94, 82, 40, 67 ]
84
[ "94+40=134", "134/67=2", "82+2=84" ]
Current State: 84:[94, 82, 40, 67], Operations: [] Exploring Operation: 94+40=134, Resulting Numbers: [82, 67, 134] Generated Node #2: [82, 67, 134] from Operation: 94+40=134 Current State: 84:[82, 67, 134], Operations: ['94+40=134'] Exploring Operation: 134/67=2, Resulting Numbers: [82, 2] Generated Node #3: [82, 2] from Operation: 134/67=2 Current State: 84:[82, 2], Operations: ['94+40=134', '134/67=2'] Exploring Operation: 82+2=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 63, 53, 49, 45 ]
40
[ "63-53=10", "49-45=4", "10*4=40" ]
Current State: 40:[63, 53, 49, 45], Operations: [] Exploring Operation: 63-53=10, Resulting Numbers: [49, 45, 10] Generated Node #2: [49, 45, 10] from Operation: 63-53=10 Current State: 40:[49, 45, 10], Operations: ['63-53=10'] Exploring Operation: 49-45=4, Resulting Numbers: [10, 4] Generated Node #3: [10, 4] from Operation: 49-45=4 Current State: 40:[10, 4], Operations: ['63-53=10', '49-45=4'] Exploring Operation: 10*4=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 5, 68, 10, 58 ]
92
[ "5*68=340", "340/10=34", "58+34=92" ]
Current State: 92:[5, 68, 10, 58], Operations: [] Exploring Operation: 5*68=340, Resulting Numbers: [10, 58, 340] Generated Node #2: [10, 58, 340] from Operation: 5*68=340 Current State: 92:[10, 58, 340], Operations: ['5*68=340'] Exploring Operation: 340/10=34, Resulting Numbers: [58, 34] Generated Node #3: [58, 34] from Operation: 340/10=34 Current State: 92:[58, 34], Operations: ['5*68=340', '340/10=34'] Exploring Operation: 58+34=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 39, 78, 45, 6 ]
27
[ "39+78=117", "45+117=162", "162/6=27" ]
Current State: 27:[39, 78, 45, 6], Operations: [] Exploring Operation: 39+78=117, Resulting Numbers: [45, 6, 117] Generated Node #2: [45, 6, 117] from Operation: 39+78=117 Current State: 27:[45, 6, 117], Operations: ['39+78=117'] Exploring Operation: 45+117=162, Resulting Numbers: [6, 162] Generated Node #3: [6, 162] from Operation: 45+117=162 Current State: 27:[6, 162], Operations: ['39+78=117', '45+117=162'] Exploring Operation: 162/6=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 23, 58, 53, 99 ]
16
[ "58-53=5", "23*5=115", "115-99=16" ]
Current State: 16:[23, 58, 53, 99], Operations: [] Exploring Operation: 58-53=5, Resulting Numbers: [23, 99, 5] Generated Node #2: [23, 99, 5] from Operation: 58-53=5 Current State: 16:[23, 99, 5], Operations: ['58-53=5'] Exploring Operation: 23*5=115, Resulting Numbers: [99, 115] Generated Node #3: [99, 115] from Operation: 23*5=115 Current State: 16:[99, 115], Operations: ['58-53=5', '23*5=115'] Exploring Operation: 115-99=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 96, 3, 83, 25 ]
35
[ "96-3=93", "83-25=58", "93-58=35" ]
Current State: 35:[96, 3, 83, 25], Operations: [] Exploring Operation: 96-3=93, Resulting Numbers: [83, 25, 93] Generated Node #2: [83, 25, 93] from Operation: 96-3=93 Current State: 35:[83, 25, 93], Operations: ['96-3=93'] Exploring Operation: 83-25=58, Resulting Numbers: [93, 58] Generated Node #3: [93, 58] from Operation: 83-25=58 Current State: 35:[93, 58], Operations: ['96-3=93', '83-25=58'] Exploring Operation: 93-58=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 32, 24, 40, 67 ]
72
[ "32-24=8", "40/8=5", "67+5=72" ]
Current State: 72:[32, 24, 40, 67], Operations: [] Exploring Operation: 32-24=8, Resulting Numbers: [40, 67, 8] Generated Node #2: [40, 67, 8] from Operation: 32-24=8 Current State: 72:[40, 67, 8], Operations: ['32-24=8'] Exploring Operation: 40/8=5, Resulting Numbers: [67, 5] Generated Node #3: [67, 5] from Operation: 40/8=5 Current State: 72:[67, 5], Operations: ['32-24=8', '40/8=5'] Exploring Operation: 67+5=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 79, 23, 26, 7 ]
72
[ "23+26=49", "49/7=7", "79-7=72" ]
Current State: 72:[79, 23, 26, 7], Operations: [] Exploring Operation: 23+26=49, Resulting Numbers: [79, 7, 49] Generated Node #2: [79, 7, 49] from Operation: 23+26=49 Current State: 72:[79, 7, 49], Operations: ['23+26=49'] Exploring Operation: 49/7=7, Resulting Numbers: [79, 7] Generated Node #3: [79, 7] from Operation: 49/7=7 Current State: 72:[79, 7], Operations: ['23+26=49', '49/7=7'] Exploring Operation: 79-7=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 50, 22, 1, 30 ]
43
[ "50+22=72", "30-1=29", "72-29=43" ]
Current State: 43:[50, 22, 1, 30], Operations: [] Exploring Operation: 50+22=72, Resulting Numbers: [1, 30, 72] Generated Node #2: [1, 30, 72] from Operation: 50+22=72 Current State: 43:[1, 30, 72], Operations: ['50+22=72'] Exploring Operation: 30-1=29, Resulting Numbers: [72, 29] Generated Node #3: [72, 29] from Operation: 30-1=29 Current State: 43:[72, 29], Operations: ['50+22=72', '30-1=29'] Exploring Operation: 72-29=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 11, 95, 21, 74 ]
92
[ "74-11=63", "63/21=3", "95-3=92" ]
Current State: 92:[11, 95, 21, 74], Operations: [] Exploring Operation: 74-11=63, Resulting Numbers: [95, 21, 63] Generated Node #2: [95, 21, 63] from Operation: 74-11=63 Current State: 92:[95, 21, 63], Operations: ['74-11=63'] Exploring Operation: 63/21=3, Resulting Numbers: [95, 3] Generated Node #3: [95, 3] from Operation: 63/21=3 Current State: 92:[95, 3], Operations: ['74-11=63', '63/21=3'] Exploring Operation: 95-3=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 58, 74, 43, 17 ]
72
[ "58+74=132", "43+17=60", "132-60=72" ]
Current State: 72:[58, 74, 43, 17], Operations: [] Exploring Operation: 58+74=132, Resulting Numbers: [43, 17, 132] Generated Node #2: [43, 17, 132] from Operation: 58+74=132 Current State: 72:[43, 17, 132], Operations: ['58+74=132'] Exploring Operation: 43+17=60, Resulting Numbers: [132, 60] Generated Node #3: [132, 60] from Operation: 43+17=60 Current State: 72:[132, 60], Operations: ['58+74=132', '43+17=60'] Exploring Operation: 132-60=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 57, 9, 51, 97 ]
43
[ "57-51=6", "9*6=54", "97-54=43" ]
Current State: 43:[57, 9, 51, 97], Operations: [] Exploring Operation: 57-51=6, Resulting Numbers: [9, 97, 6] Generated Node #2: [9, 97, 6] from Operation: 57-51=6 Current State: 43:[9, 97, 6], Operations: ['57-51=6'] Exploring Operation: 9*6=54, Resulting Numbers: [97, 54] Generated Node #3: [97, 54] from Operation: 9*6=54 Current State: 43:[97, 54], Operations: ['57-51=6', '9*6=54'] Exploring Operation: 97-54=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 6, 74, 54, 75 ]
59
[ "6+74=80", "75-54=21", "80-21=59" ]
Current State: 59:[6, 74, 54, 75], Operations: [] Exploring Operation: 6+74=80, Resulting Numbers: [54, 75, 80] Generated Node #2: [54, 75, 80] from Operation: 6+74=80 Current State: 59:[54, 75, 80], Operations: ['6+74=80'] Exploring Operation: 75-54=21, Resulting Numbers: [80, 21] Generated Node #3: [80, 21] from Operation: 75-54=21 Current State: 59:[80, 21], Operations: ['6+74=80', '75-54=21'] Exploring Operation: 80-21=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 73, 72, 58, 13 ]
46
[ "73-72=1", "58-13=45", "1+45=46" ]
Current State: 46:[73, 72, 58, 13], Operations: [] Exploring Operation: 73-72=1, Resulting Numbers: [58, 13, 1] Generated Node #2: [58, 13, 1] from Operation: 73-72=1 Current State: 46:[58, 13, 1], Operations: ['73-72=1'] Exploring Operation: 58-13=45, Resulting Numbers: [1, 45] Generated Node #3: [1, 45] from Operation: 58-13=45 Current State: 46:[1, 45], Operations: ['73-72=1', '58-13=45'] Exploring Operation: 1+45=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 66, 86, 79, 79 ]
21
[ "86-66=20", "79/79=1", "20+1=21" ]
Current State: 21:[66, 86, 79, 79], Operations: [] Exploring Operation: 86-66=20, Resulting Numbers: [79, 79, 20] Generated Node #2: [79, 79, 20] from Operation: 86-66=20 Current State: 21:[79, 79, 20], Operations: ['86-66=20'] Exploring Operation: 79/79=1, Resulting Numbers: [20, 1] Generated Node #3: [20, 1] from Operation: 79/79=1 Current State: 21:[20, 1], Operations: ['86-66=20', '79/79=1'] Exploring Operation: 20+1=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 43, 59, 25, 71 ]
30
[ "59-43=16", "71-25=46", "46-16=30" ]
Current State: 30:[43, 59, 25, 71], Operations: [] Exploring Operation: 59-43=16, Resulting Numbers: [25, 71, 16] Generated Node #2: [25, 71, 16] from Operation: 59-43=16 Current State: 30:[25, 71, 16], Operations: ['59-43=16'] Exploring Operation: 71-25=46, Resulting Numbers: [16, 46] Generated Node #3: [16, 46] from Operation: 71-25=46 Current State: 30:[16, 46], Operations: ['59-43=16', '71-25=46'] Exploring Operation: 46-16=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 8, 49, 92, 75 ]
58
[ "49-8=41", "92-75=17", "41+17=58" ]
Current State: 58:[8, 49, 92, 75], Operations: [] Exploring Operation: 49-8=41, Resulting Numbers: [92, 75, 41] Generated Node #2: [92, 75, 41] from Operation: 49-8=41 Current State: 58:[92, 75, 41], Operations: ['49-8=41'] Exploring Operation: 92-75=17, Resulting Numbers: [41, 17] Generated Node #3: [41, 17] from Operation: 92-75=17 Current State: 58:[41, 17], Operations: ['49-8=41', '92-75=17'] Exploring Operation: 41+17=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 9, 57, 59, 28 ]
74
[ "9+28=37", "59-57=2", "37*2=74" ]
Current State: 74:[9, 57, 59, 28], Operations: [] Exploring Operation: 9+28=37, Resulting Numbers: [57, 59, 37] Generated Node #2: [57, 59, 37] from Operation: 9+28=37 Current State: 74:[57, 59, 37], Operations: ['9+28=37'] Exploring Operation: 59-57=2, Resulting Numbers: [37, 2] Generated Node #3: [37, 2] from Operation: 59-57=2 Current State: 74:[37, 2], Operations: ['9+28=37', '59-57=2'] Exploring Operation: 37*2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 33, 98, 86, 17 ]
14
[ "33+86=119", "98*17=1666", "1666/119=14" ]
Current State: 14:[33, 98, 86, 17], Operations: [] Exploring Operation: 33+86=119, Resulting Numbers: [98, 17, 119] Generated Node #2: [98, 17, 119] from Operation: 33+86=119 Current State: 14:[98, 17, 119], Operations: ['33+86=119'] Exploring Operation: 98*17=1666, Resulting Numbers: [119, 1666] Generated Node #3: [119, 1666] from Operation: 98*17=1666 Current State: 14:[119, 1666], Operations: ['33+86=119', '98*17=1666'] Exploring Operation: 1666/119=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 6, 79, 30, 23 ]
89
[ "6*23=138", "79-30=49", "138-49=89" ]
Current State: 89:[6, 79, 30, 23], Operations: [] Exploring Operation: 6*23=138, Resulting Numbers: [79, 30, 138] Generated Node #2: [79, 30, 138] from Operation: 6*23=138 Current State: 89:[79, 30, 138], Operations: ['6*23=138'] Exploring Operation: 79-30=49, Resulting Numbers: [138, 49] Generated Node #3: [138, 49] from Operation: 79-30=49 Current State: 89:[138, 49], Operations: ['6*23=138', '79-30=49'] Exploring Operation: 138-49=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 72, 64, 42, 36 ]
74
[ "72/36=2", "64/2=32", "42+32=74" ]
Current State: 74:[72, 64, 42, 36], Operations: [] Exploring Operation: 72/36=2, Resulting Numbers: [64, 42, 2] Generated Node #2: [64, 42, 2] from Operation: 72/36=2 Current State: 74:[64, 42, 2], Operations: ['72/36=2'] Exploring Operation: 64/2=32, Resulting Numbers: [42, 32] Generated Node #3: [42, 32] from Operation: 64/2=32 Current State: 74:[42, 32], Operations: ['72/36=2', '64/2=32'] Exploring Operation: 42+32=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 86, 78, 34, 47 ]
83
[ "86+78=164", "34+47=81", "164-81=83" ]
Current State: 83:[86, 78, 34, 47], Operations: [] Exploring Operation: 86+78=164, Resulting Numbers: [34, 47, 164] Generated Node #2: [34, 47, 164] from Operation: 86+78=164 Current State: 83:[34, 47, 164], Operations: ['86+78=164'] Exploring Operation: 34+47=81, Resulting Numbers: [164, 81] Generated Node #3: [164, 81] from Operation: 34+47=81 Current State: 83:[164, 81], Operations: ['86+78=164', '34+47=81'] Exploring Operation: 164-81=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 13, 30, 2, 75 ]
90
[ "30-13=17", "75-2=73", "17+73=90" ]
Current State: 90:[13, 30, 2, 75], Operations: [] Exploring Operation: 30-13=17, Resulting Numbers: [2, 75, 17] Generated Node #2: [2, 75, 17] from Operation: 30-13=17 Current State: 90:[2, 75, 17], Operations: ['30-13=17'] Exploring Operation: 75-2=73, Resulting Numbers: [17, 73] Generated Node #3: [17, 73] from Operation: 75-2=73 Current State: 90:[17, 73], Operations: ['30-13=17', '75-2=73'] Exploring Operation: 17+73=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 75, 23, 58, 4 ]
41
[ "75+58=133", "23*4=92", "133-92=41" ]
Current State: 41:[75, 23, 58, 4], Operations: [] Exploring Operation: 75+58=133, Resulting Numbers: [23, 4, 133] Generated Node #2: [23, 4, 133] from Operation: 75+58=133 Current State: 41:[23, 4, 133], Operations: ['75+58=133'] Exploring Operation: 23*4=92, Resulting Numbers: [133, 92] Generated Node #3: [133, 92] from Operation: 23*4=92 Current State: 41:[133, 92], Operations: ['75+58=133', '23*4=92'] Exploring Operation: 133-92=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 86, 87, 89, 71 ]
17
[ "87-86=1", "89-71=18", "18-1=17" ]
Current State: 17:[86, 87, 89, 71], Operations: [] Exploring Operation: 87-86=1, Resulting Numbers: [89, 71, 1] Generated Node #2: [89, 71, 1] from Operation: 87-86=1 Current State: 17:[89, 71, 1], Operations: ['87-86=1'] Exploring Operation: 89-71=18, Resulting Numbers: [1, 18] Generated Node #3: [1, 18] from Operation: 89-71=18 Current State: 17:[1, 18], Operations: ['87-86=1', '89-71=18'] Exploring Operation: 18-1=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 95, 4, 98, 5 ]
83
[ "95*5=475", "4*98=392", "475-392=83" ]
Current State: 83:[95, 4, 98, 5], Operations: [] Exploring Operation: 95*5=475, Resulting Numbers: [4, 98, 475] Generated Node #2: [4, 98, 475] from Operation: 95*5=475 Current State: 83:[4, 98, 475], Operations: ['95*5=475'] Exploring Operation: 4*98=392, Resulting Numbers: [475, 392] Generated Node #3: [475, 392] from Operation: 4*98=392 Current State: 83:[475, 392], Operations: ['95*5=475', '4*98=392'] Exploring Operation: 475-392=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 88, 19, 61, 3 ]
30
[ "88-61=27", "19*3=57", "57-27=30" ]
Current State: 30:[88, 19, 61, 3], Operations: [] Exploring Operation: 88-61=27, Resulting Numbers: [19, 3, 27] Generated Node #2: [19, 3, 27] from Operation: 88-61=27 Current State: 30:[19, 3, 27], Operations: ['88-61=27'] Exploring Operation: 19*3=57, Resulting Numbers: [27, 57] Generated Node #3: [27, 57] from Operation: 19*3=57 Current State: 30:[27, 57], Operations: ['88-61=27', '19*3=57'] Exploring Operation: 57-27=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 21, 2, 13, 19 ]
52
[ "21+2=23", "23-19=4", "13*4=52" ]
Current State: 52:[21, 2, 13, 19], Operations: [] Exploring Operation: 21+2=23, Resulting Numbers: [13, 19, 23] Generated Node #2: [13, 19, 23] from Operation: 21+2=23 Current State: 52:[13, 19, 23], Operations: ['21+2=23'] Exploring Operation: 23-19=4, Resulting Numbers: [13, 4] Generated Node #3: [13, 4] from Operation: 23-19=4 Current State: 52:[13, 4], Operations: ['21+2=23', '23-19=4'] Exploring Operation: 13*4=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 64, 94, 50, 4 ]
28
[ "64/4=16", "94-50=44", "44-16=28" ]
Current State: 28:[64, 94, 50, 4], Operations: [] Exploring Operation: 64/4=16, Resulting Numbers: [94, 50, 16] Generated Node #2: [94, 50, 16] from Operation: 64/4=16 Current State: 28:[94, 50, 16], Operations: ['64/4=16'] Exploring Operation: 94-50=44, Resulting Numbers: [16, 44] Generated Node #3: [16, 44] from Operation: 94-50=44 Current State: 28:[16, 44], Operations: ['64/4=16', '94-50=44'] Exploring Operation: 44-16=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 19, 2, 42, 78 ]
46
[ "78-2=76", "76/19=4", "42+4=46" ]
Current State: 46:[19, 2, 42, 78], Operations: [] Exploring Operation: 78-2=76, Resulting Numbers: [19, 42, 76] Generated Node #2: [19, 42, 76] from Operation: 78-2=76 Current State: 46:[19, 42, 76], Operations: ['78-2=76'] Exploring Operation: 76/19=4, Resulting Numbers: [42, 4] Generated Node #3: [42, 4] from Operation: 76/19=4 Current State: 46:[42, 4], Operations: ['78-2=76', '76/19=4'] Exploring Operation: 42+4=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 23, 12, 78, 60 ]
18
[ "78+60=138", "138/23=6", "12+6=18" ]
Current State: 18:[23, 12, 78, 60], Operations: [] Exploring Operation: 78+60=138, Resulting Numbers: [23, 12, 138] Generated Node #2: [23, 12, 138] from Operation: 78+60=138 Current State: 18:[23, 12, 138], Operations: ['78+60=138'] Exploring Operation: 138/23=6, Resulting Numbers: [12, 6] Generated Node #3: [12, 6] from Operation: 138/23=6 Current State: 18:[12, 6], Operations: ['78+60=138', '138/23=6'] Exploring Operation: 12+6=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 9, 68, 54, 5 ]
79
[ "54/9=6", "68+5=73", "6+73=79" ]
Current State: 79:[9, 68, 54, 5], Operations: [] Exploring Operation: 54/9=6, Resulting Numbers: [68, 5, 6] Generated Node #2: [68, 5, 6] from Operation: 54/9=6 Current State: 79:[68, 5, 6], Operations: ['54/9=6'] Exploring Operation: 68+5=73, Resulting Numbers: [6, 73] Generated Node #3: [6, 73] from Operation: 68+5=73 Current State: 79:[6, 73], Operations: ['54/9=6', '68+5=73'] Exploring Operation: 6+73=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 73, 4, 56, 13 ]
81
[ "73-56=17", "4*17=68", "13+68=81" ]
Current State: 81:[73, 4, 56, 13], Operations: [] Exploring Operation: 73-56=17, Resulting Numbers: [4, 13, 17] Generated Node #2: [4, 13, 17] from Operation: 73-56=17 Current State: 81:[4, 13, 17], Operations: ['73-56=17'] Exploring Operation: 4*17=68, Resulting Numbers: [13, 68] Generated Node #3: [13, 68] from Operation: 4*17=68 Current State: 81:[13, 68], Operations: ['73-56=17', '4*17=68'] Exploring Operation: 13+68=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 20, 84, 1, 47 ]
17
[ "84-20=64", "1*47=47", "64-47=17" ]
Current State: 17:[20, 84, 1, 47], Operations: [] Exploring Operation: 84-20=64, Resulting Numbers: [1, 47, 64] Generated Node #2: [1, 47, 64] from Operation: 84-20=64 Current State: 17:[1, 47, 64], Operations: ['84-20=64'] Exploring Operation: 1*47=47, Resulting Numbers: [64, 47] Generated Node #3: [64, 47] from Operation: 1*47=47 Current State: 17:[64, 47], Operations: ['84-20=64', '1*47=47'] Exploring Operation: 64-47=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 50, 5, 71, 28 ]
98
[ "50+5=55", "71-28=43", "55+43=98" ]
Current State: 98:[50, 5, 71, 28], Operations: [] Exploring Operation: 50+5=55, Resulting Numbers: [71, 28, 55] Generated Node #2: [71, 28, 55] from Operation: 50+5=55 Current State: 98:[71, 28, 55], Operations: ['50+5=55'] Exploring Operation: 71-28=43, Resulting Numbers: [55, 43] Generated Node #3: [55, 43] from Operation: 71-28=43 Current State: 98:[55, 43], Operations: ['50+5=55', '71-28=43'] Exploring Operation: 55+43=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 74, 46, 77, 7 ]
67
[ "77-74=3", "7*3=21", "46+21=67" ]
Current State: 67:[74, 46, 77, 7], Operations: [] Exploring Operation: 77-74=3, Resulting Numbers: [46, 7, 3] Generated Node #2: [46, 7, 3] from Operation: 77-74=3 Current State: 67:[46, 7, 3], Operations: ['77-74=3'] Exploring Operation: 7*3=21, Resulting Numbers: [46, 21] Generated Node #3: [46, 21] from Operation: 7*3=21 Current State: 67:[46, 21], Operations: ['77-74=3', '7*3=21'] Exploring Operation: 46+21=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 46, 56, 63, 59 ]
15
[ "46+59=105", "63-56=7", "105/7=15" ]
Current State: 15:[46, 56, 63, 59], Operations: [] Exploring Operation: 46+59=105, Resulting Numbers: [56, 63, 105] Generated Node #2: [56, 63, 105] from Operation: 46+59=105 Current State: 15:[56, 63, 105], Operations: ['46+59=105'] Exploring Operation: 63-56=7, Resulting Numbers: [105, 7] Generated Node #3: [105, 7] from Operation: 63-56=7 Current State: 15:[105, 7], Operations: ['46+59=105', '63-56=7'] Exploring Operation: 105/7=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 36, 74, 78, 38 ]
29
[ "78-74=4", "36/4=9", "38-9=29" ]
Current State: 29:[36, 74, 78, 38], Operations: [] Exploring Operation: 78-74=4, Resulting Numbers: [36, 38, 4] Generated Node #2: [36, 38, 4] from Operation: 78-74=4 Current State: 29:[36, 38, 4], Operations: ['78-74=4'] Exploring Operation: 36/4=9, Resulting Numbers: [38, 9] Generated Node #3: [38, 9] from Operation: 36/4=9 Current State: 29:[38, 9], Operations: ['78-74=4', '36/4=9'] Exploring Operation: 38-9=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 66, 26, 24, 14 ]
40
[ "66+14=80", "26-24=2", "80/2=40" ]
Current State: 40:[66, 26, 24, 14], Operations: [] Exploring Operation: 66+14=80, Resulting Numbers: [26, 24, 80] Generated Node #2: [26, 24, 80] from Operation: 66+14=80 Current State: 40:[26, 24, 80], Operations: ['66+14=80'] Exploring Operation: 26-24=2, Resulting Numbers: [80, 2] Generated Node #3: [80, 2] from Operation: 26-24=2 Current State: 40:[80, 2], Operations: ['66+14=80', '26-24=2'] Exploring Operation: 80/2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 6, 73, 88, 19 ]
47
[ "6*19=114", "73+88=161", "161-114=47" ]
Current State: 47:[6, 73, 88, 19], Operations: [] Exploring Operation: 6*19=114, Resulting Numbers: [73, 88, 114] Generated Node #2: [73, 88, 114] from Operation: 6*19=114 Current State: 47:[73, 88, 114], Operations: ['6*19=114'] Exploring Operation: 73+88=161, Resulting Numbers: [114, 161] Generated Node #3: [114, 161] from Operation: 73+88=161 Current State: 47:[114, 161], Operations: ['6*19=114', '73+88=161'] Exploring Operation: 161-114=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 17, 9, 53, 14 ]
45
[ "17+53=70", "9*70=630", "630/14=45" ]
Current State: 45:[17, 9, 53, 14], Operations: [] Exploring Operation: 17+53=70, Resulting Numbers: [9, 14, 70] Generated Node #2: [9, 14, 70] from Operation: 17+53=70 Current State: 45:[9, 14, 70], Operations: ['17+53=70'] Exploring Operation: 9*70=630, Resulting Numbers: [14, 630] Generated Node #3: [14, 630] from Operation: 9*70=630 Current State: 45:[14, 630], Operations: ['17+53=70', '9*70=630'] Exploring Operation: 630/14=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 50, 18, 43, 27 ]
54
[ "50*27=1350", "43-18=25", "1350/25=54" ]
Current State: 54:[50, 18, 43, 27], Operations: [] Exploring Operation: 50*27=1350, Resulting Numbers: [18, 43, 1350] Generated Node #2: [18, 43, 1350] from Operation: 50*27=1350 Current State: 54:[18, 43, 1350], Operations: ['50*27=1350'] Exploring Operation: 43-18=25, Resulting Numbers: [1350, 25] Generated Node #3: [1350, 25] from Operation: 43-18=25 Current State: 54:[1350, 25], Operations: ['50*27=1350', '43-18=25'] Exploring Operation: 1350/25=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 94, 43, 95, 57 ]
15
[ "94+43=137", "95+57=152", "152-137=15" ]
Current State: 15:[94, 43, 95, 57], Operations: [] Exploring Operation: 94+43=137, Resulting Numbers: [95, 57, 137] Generated Node #2: [95, 57, 137] from Operation: 94+43=137 Current State: 15:[95, 57, 137], Operations: ['94+43=137'] Exploring Operation: 95+57=152, Resulting Numbers: [137, 152] Generated Node #3: [137, 152] from Operation: 95+57=152 Current State: 15:[137, 152], Operations: ['94+43=137', '95+57=152'] Exploring Operation: 152-137=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 35, 57, 4, 5 ]
46
[ "35/5=7", "57-4=53", "53-7=46" ]
Current State: 46:[35, 57, 4, 5], Operations: [] Exploring Operation: 35/5=7, Resulting Numbers: [57, 4, 7] Generated Node #2: [57, 4, 7] from Operation: 35/5=7 Current State: 46:[57, 4, 7], Operations: ['35/5=7'] Exploring Operation: 57-4=53, Resulting Numbers: [7, 53] Generated Node #3: [7, 53] from Operation: 57-4=53 Current State: 46:[7, 53], Operations: ['35/5=7', '57-4=53'] Exploring Operation: 53-7=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 56, 86, 97, 89 ]
71
[ "89-86=3", "56*3=168", "168-97=71" ]
Current State: 71:[56, 86, 97, 89], Operations: [] Exploring Operation: 89-86=3, Resulting Numbers: [56, 97, 3] Generated Node #2: [56, 97, 3] from Operation: 89-86=3 Current State: 71:[56, 97, 3], Operations: ['89-86=3'] Exploring Operation: 56*3=168, Resulting Numbers: [97, 168] Generated Node #3: [97, 168] from Operation: 56*3=168 Current State: 71:[97, 168], Operations: ['89-86=3', '56*3=168'] Exploring Operation: 168-97=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 19, 59, 5, 14 ]
84
[ "19-14=5", "5*5=25", "59+25=84" ]
Current State: 84:[19, 59, 5, 14], Operations: [] Exploring Operation: 19-14=5, Resulting Numbers: [59, 5, 5] Generated Node #2: [59, 5, 5] from Operation: 19-14=5 Current State: 84:[59, 5, 5], Operations: ['19-14=5'] Exploring Operation: 5*5=25, Resulting Numbers: [59, 25] Generated Node #3: [59, 25] from Operation: 5*5=25 Current State: 84:[59, 25], Operations: ['19-14=5', '5*5=25'] Exploring Operation: 59+25=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 85, 70, 81, 27 ]
39
[ "85-70=15", "81-27=54", "54-15=39" ]
Current State: 39:[85, 70, 81, 27], Operations: [] Exploring Operation: 85-70=15, Resulting Numbers: [81, 27, 15] Generated Node #2: [81, 27, 15] from Operation: 85-70=15 Current State: 39:[81, 27, 15], Operations: ['85-70=15'] Exploring Operation: 81-27=54, Resulting Numbers: [15, 54] Generated Node #3: [15, 54] from Operation: 81-27=54 Current State: 39:[15, 54], Operations: ['85-70=15', '81-27=54'] Exploring Operation: 54-15=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 85, 71, 85, 7 ]
79
[ "85/85=1", "71+7=78", "1+78=79" ]
Current State: 79:[85, 71, 85, 7], Operations: [] Exploring Operation: 85/85=1, Resulting Numbers: [71, 7, 1] Generated Node #2: [71, 7, 1] from Operation: 85/85=1 Current State: 79:[71, 7, 1], Operations: ['85/85=1'] Exploring Operation: 71+7=78, Resulting Numbers: [1, 78] Generated Node #3: [1, 78] from Operation: 71+7=78 Current State: 79:[1, 78], Operations: ['85/85=1', '71+7=78'] Exploring Operation: 1+78=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 73, 35, 11, 30 ]
89
[ "73+35=108", "30-11=19", "108-19=89" ]
Current State: 89:[73, 35, 11, 30], Operations: [] Exploring Operation: 73+35=108, Resulting Numbers: [11, 30, 108] Generated Node #2: [11, 30, 108] from Operation: 73+35=108 Current State: 89:[11, 30, 108], Operations: ['73+35=108'] Exploring Operation: 30-11=19, Resulting Numbers: [108, 19] Generated Node #3: [108, 19] from Operation: 30-11=19 Current State: 89:[108, 19], Operations: ['73+35=108', '30-11=19'] Exploring Operation: 108-19=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 9, 15, 38, 6 ]
42
[ "9+15=24", "24/6=4", "38+4=42" ]
Current State: 42:[9, 15, 38, 6], Operations: [] Exploring Operation: 9+15=24, Resulting Numbers: [38, 6, 24] Generated Node #2: [38, 6, 24] from Operation: 9+15=24 Current State: 42:[38, 6, 24], Operations: ['9+15=24'] Exploring Operation: 24/6=4, Resulting Numbers: [38, 4] Generated Node #3: [38, 4] from Operation: 24/6=4 Current State: 42:[38, 4], Operations: ['9+15=24', '24/6=4'] Exploring Operation: 38+4=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 93, 84, 91, 98 ]
81
[ "98-91=7", "84/7=12", "93-12=81" ]
Current State: 81:[93, 84, 91, 98], Operations: [] Exploring Operation: 98-91=7, Resulting Numbers: [93, 84, 7] Generated Node #2: [93, 84, 7] from Operation: 98-91=7 Current State: 81:[93, 84, 7], Operations: ['98-91=7'] Exploring Operation: 84/7=12, Resulting Numbers: [93, 12] Generated Node #3: [93, 12] from Operation: 84/7=12 Current State: 81:[93, 12], Operations: ['98-91=7', '84/7=12'] Exploring Operation: 93-12=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 30, 14, 73, 72 ]
17
[ "30-14=16", "73-72=1", "16+1=17" ]
Current State: 17:[30, 14, 73, 72], Operations: [] Exploring Operation: 30-14=16, Resulting Numbers: [73, 72, 16] Generated Node #2: [73, 72, 16] from Operation: 30-14=16 Current State: 17:[73, 72, 16], Operations: ['30-14=16'] Exploring Operation: 73-72=1, Resulting Numbers: [16, 1] Generated Node #3: [16, 1] from Operation: 73-72=1 Current State: 17:[16, 1], Operations: ['30-14=16', '73-72=1'] Exploring Operation: 16+1=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 49, 84, 91, 41 ]
84
[ "91-49=42", "42-41=1", "84*1=84" ]
Current State: 84:[49, 84, 91, 41], Operations: [] Exploring Operation: 91-49=42, Resulting Numbers: [84, 41, 42] Generated Node #2: [84, 41, 42] from Operation: 91-49=42 Current State: 84:[84, 41, 42], Operations: ['91-49=42'] Exploring Operation: 42-41=1, Resulting Numbers: [84, 1] Generated Node #3: [84, 1] from Operation: 42-41=1 Current State: 84:[84, 1], Operations: ['91-49=42', '42-41=1'] Exploring Operation: 84*1=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 23, 36, 4, 87 ]
25
[ "36-23=13", "87+13=100", "100/4=25" ]
Current State: 25:[23, 36, 4, 87], Operations: [] Exploring Operation: 36-23=13, Resulting Numbers: [4, 87, 13] Generated Node #2: [4, 87, 13] from Operation: 36-23=13 Current State: 25:[4, 87, 13], Operations: ['36-23=13'] Exploring Operation: 87+13=100, Resulting Numbers: [4, 100] Generated Node #3: [4, 100] from Operation: 87+13=100 Current State: 25:[4, 100], Operations: ['36-23=13', '87+13=100'] Exploring Operation: 100/4=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 11, 38, 33, 77 ]
64
[ "77/11=7", "38+33=71", "71-7=64" ]
Current State: 64:[11, 38, 33, 77], Operations: [] Exploring Operation: 77/11=7, Resulting Numbers: [38, 33, 7] Generated Node #2: [38, 33, 7] from Operation: 77/11=7 Current State: 64:[38, 33, 7], Operations: ['77/11=7'] Exploring Operation: 38+33=71, Resulting Numbers: [7, 71] Generated Node #3: [7, 71] from Operation: 38+33=71 Current State: 64:[7, 71], Operations: ['77/11=7', '38+33=71'] Exploring Operation: 71-7=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 88, 9, 7, 85 ]
41
[ "9-7=2", "88/2=44", "85-44=41" ]
Current State: 41:[88, 9, 7, 85], Operations: [] Exploring Operation: 9-7=2, Resulting Numbers: [88, 85, 2] Generated Node #2: [88, 85, 2] from Operation: 9-7=2 Current State: 41:[88, 85, 2], Operations: ['9-7=2'] Exploring Operation: 88/2=44, Resulting Numbers: [85, 44] Generated Node #3: [85, 44] from Operation: 88/2=44 Current State: 41:[85, 44], Operations: ['9-7=2', '88/2=44'] Exploring Operation: 85-44=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 52, 62, 63, 96 ]
43
[ "62-52=10", "96-63=33", "10+33=43" ]
Current State: 43:[52, 62, 63, 96], Operations: [] Exploring Operation: 62-52=10, Resulting Numbers: [63, 96, 10] Generated Node #2: [63, 96, 10] from Operation: 62-52=10 Current State: 43:[63, 96, 10], Operations: ['62-52=10'] Exploring Operation: 96-63=33, Resulting Numbers: [10, 33] Generated Node #3: [10, 33] from Operation: 96-63=33 Current State: 43:[10, 33], Operations: ['62-52=10', '96-63=33'] Exploring Operation: 10+33=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 2, 22, 42, 56 ]
38
[ "2+22=24", "56-42=14", "24+14=38" ]
Current State: 38:[2, 22, 42, 56], Operations: [] Exploring Operation: 2+22=24, Resulting Numbers: [42, 56, 24] Generated Node #2: [42, 56, 24] from Operation: 2+22=24 Current State: 38:[42, 56, 24], Operations: ['2+22=24'] Exploring Operation: 56-42=14, Resulting Numbers: [24, 14] Generated Node #3: [24, 14] from Operation: 56-42=14 Current State: 38:[24, 14], Operations: ['2+22=24', '56-42=14'] Exploring Operation: 24+14=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 53, 45, 26, 91 ]
57
[ "53-45=8", "91-26=65", "65-8=57" ]
Current State: 57:[53, 45, 26, 91], Operations: [] Exploring Operation: 53-45=8, Resulting Numbers: [26, 91, 8] Generated Node #2: [26, 91, 8] from Operation: 53-45=8 Current State: 57:[26, 91, 8], Operations: ['53-45=8'] Exploring Operation: 91-26=65, Resulting Numbers: [8, 65] Generated Node #3: [8, 65] from Operation: 91-26=65 Current State: 57:[8, 65], Operations: ['53-45=8', '91-26=65'] Exploring Operation: 65-8=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 29, 13, 88, 42 ]
30
[ "29-13=16", "88-42=46", "46-16=30" ]
Current State: 30:[29, 13, 88, 42], Operations: [] Exploring Operation: 29-13=16, Resulting Numbers: [88, 42, 16] Generated Node #2: [88, 42, 16] from Operation: 29-13=16 Current State: 30:[88, 42, 16], Operations: ['29-13=16'] Exploring Operation: 88-42=46, Resulting Numbers: [16, 46] Generated Node #3: [16, 46] from Operation: 88-42=46 Current State: 30:[16, 46], Operations: ['29-13=16', '88-42=46'] Exploring Operation: 46-16=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 65, 6, 87, 98 ]
34
[ "87-65=22", "6*22=132", "132-98=34" ]
Current State: 34:[65, 6, 87, 98], Operations: [] Exploring Operation: 87-65=22, Resulting Numbers: [6, 98, 22] Generated Node #2: [6, 98, 22] from Operation: 87-65=22 Current State: 34:[6, 98, 22], Operations: ['87-65=22'] Exploring Operation: 6*22=132, Resulting Numbers: [98, 132] Generated Node #3: [98, 132] from Operation: 6*22=132 Current State: 34:[98, 132], Operations: ['87-65=22', '6*22=132'] Exploring Operation: 132-98=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 99, 36, 93, 48 ]
25
[ "93*48=4464", "4464/36=124", "124-99=25" ]
Current State: 25:[99, 36, 93, 48], Operations: [] Exploring Operation: 93*48=4464, Resulting Numbers: [99, 36, 4464] Generated Node #2: [99, 36, 4464] from Operation: 93*48=4464 Current State: 25:[99, 36, 4464], Operations: ['93*48=4464'] Exploring Operation: 4464/36=124, Resulting Numbers: [99, 124] Generated Node #3: [99, 124] from Operation: 4464/36=124 Current State: 25:[99, 124], Operations: ['93*48=4464', '4464/36=124'] Exploring Operation: 124-99=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 36, 69, 76, 28 ]
57
[ "36+69=105", "76-28=48", "105-48=57" ]
Current State: 57:[36, 69, 76, 28], Operations: [] Exploring Operation: 36+69=105, Resulting Numbers: [76, 28, 105] Generated Node #2: [76, 28, 105] from Operation: 36+69=105 Current State: 57:[76, 28, 105], Operations: ['36+69=105'] Exploring Operation: 76-28=48, Resulting Numbers: [105, 48] Generated Node #3: [105, 48] from Operation: 76-28=48 Current State: 57:[105, 48], Operations: ['36+69=105', '76-28=48'] Exploring Operation: 105-48=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 83, 45, 39, 26 ]
26
[ "83-45=38", "39-38=1", "26*1=26" ]
Current State: 26:[83, 45, 39, 26], Operations: [] Exploring Operation: 83-45=38, Resulting Numbers: [39, 26, 38] Generated Node #2: [39, 26, 38] from Operation: 83-45=38 Current State: 26:[39, 26, 38], Operations: ['83-45=38'] Exploring Operation: 39-38=1, Resulting Numbers: [26, 1] Generated Node #3: [26, 1] from Operation: 39-38=1 Current State: 26:[26, 1], Operations: ['83-45=38', '39-38=1'] Exploring Operation: 26*1=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 22, 8, 8, 33 ]
10
[ "33-22=11", "8/8=1", "11-1=10" ]
Current State: 10:[22, 8, 8, 33], Operations: [] Exploring Operation: 33-22=11, Resulting Numbers: [8, 8, 11] Generated Node #2: [8, 8, 11] from Operation: 33-22=11 Current State: 10:[8, 8, 11], Operations: ['33-22=11'] Exploring Operation: 8/8=1, Resulting Numbers: [11, 1] Generated Node #3: [11, 1] from Operation: 8/8=1 Current State: 10:[11, 1], Operations: ['33-22=11', '8/8=1'] Exploring Operation: 11-1=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 72, 1, 85, 67 ]
91
[ "72+1=73", "85-67=18", "73+18=91" ]
Current State: 91:[72, 1, 85, 67], Operations: [] Exploring Operation: 72+1=73, Resulting Numbers: [85, 67, 73] Generated Node #2: [85, 67, 73] from Operation: 72+1=73 Current State: 91:[85, 67, 73], Operations: ['72+1=73'] Exploring Operation: 85-67=18, Resulting Numbers: [73, 18] Generated Node #3: [73, 18] from Operation: 85-67=18 Current State: 91:[73, 18], Operations: ['72+1=73', '85-67=18'] Exploring Operation: 73+18=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 45, 76, 54, 64 ]
87
[ "76-45=31", "54+64=118", "118-31=87" ]
Current State: 87:[45, 76, 54, 64], Operations: [] Exploring Operation: 76-45=31, Resulting Numbers: [54, 64, 31] Generated Node #2: [54, 64, 31] from Operation: 76-45=31 Current State: 87:[54, 64, 31], Operations: ['76-45=31'] Exploring Operation: 54+64=118, Resulting Numbers: [31, 118] Generated Node #3: [31, 118] from Operation: 54+64=118 Current State: 87:[31, 118], Operations: ['76-45=31', '54+64=118'] Exploring Operation: 118-31=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 44, 29, 13, 88 ]
40
[ "88/44=2", "29+13=42", "42-2=40" ]
Current State: 40:[44, 29, 13, 88], Operations: [] Exploring Operation: 88/44=2, Resulting Numbers: [29, 13, 2] Generated Node #2: [29, 13, 2] from Operation: 88/44=2 Current State: 40:[29, 13, 2], Operations: ['88/44=2'] Exploring Operation: 29+13=42, Resulting Numbers: [2, 42] Generated Node #3: [2, 42] from Operation: 29+13=42 Current State: 40:[2, 42], Operations: ['88/44=2', '29+13=42'] Exploring Operation: 42-2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 12, 4, 7, 72 ]
70
[ "72/12=6", "4+6=10", "7*10=70" ]
Current State: 70:[12, 4, 7, 72], Operations: [] Exploring Operation: 72/12=6, Resulting Numbers: [4, 7, 6] Generated Node #2: [4, 7, 6] from Operation: 72/12=6 Current State: 70:[4, 7, 6], Operations: ['72/12=6'] Exploring Operation: 4+6=10, Resulting Numbers: [7, 10] Generated Node #3: [7, 10] from Operation: 4+6=10 Current State: 70:[7, 10], Operations: ['72/12=6', '4+6=10'] Exploring Operation: 7*10=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4