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
[ 61, 27, 38, 84 ]
54
[ "38+84=122", "122/61=2", "27*2=54" ]
Current State: 54:[61, 27, 38, 84], Operations: [] Exploring Operation: 38+84=122, Resulting Numbers: [61, 27, 122] Generated Node #2: [61, 27, 122] from Operation: 38+84=122 Current State: 54:[61, 27, 122], Operations: ['38+84=122'] Exploring Operation: 122/61=2, Resulting Numbers: [27, 2] Generated Node #3: [27, 2] from Operation: 122/61=2 Current State: 54:[27, 2], Operations: ['38+84=122', '122/61=2'] Exploring Operation: 27*2=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 44, 30, 95, 98 ]
46
[ "98-95=3", "30*3=90", "90-44=46" ]
Current State: 46:[44, 30, 95, 98], Operations: [] Exploring Operation: 98-95=3, Resulting Numbers: [44, 30, 3] Generated Node #2: [44, 30, 3] from Operation: 98-95=3 Current State: 46:[44, 30, 3], Operations: ['98-95=3'] Exploring Operation: 30*3=90, Resulting Numbers: [44, 90] Generated Node #3: [44, 90] from Operation: 30*3=90 Current State: 46:[44, 90], Operations: ['98-95=3', '30*3=90'] Exploring Operation: 90-44=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 30, 34, 21, 72 ]
48
[ "30+21=51", "34*72=2448", "2448/51=48" ]
Current State: 48:[30, 34, 21, 72], Operations: [] Exploring Operation: 30+21=51, Resulting Numbers: [34, 72, 51] Generated Node #2: [34, 72, 51] from Operation: 30+21=51 Current State: 48:[34, 72, 51], Operations: ['30+21=51'] Exploring Operation: 34*72=2448, Resulting Numbers: [51, 2448] Generated Node #3: [51, 2448] from Operation: 34*72=2448 Current State: 48:[51, 2448], Operations: ['30+21=51', '34*72=2448'] Exploring Operation: 2448/51=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 97, 71, 56, 57 ]
93
[ "71-57=14", "56/14=4", "97-4=93" ]
Current State: 93:[97, 71, 56, 57], Operations: [] Exploring Operation: 71-57=14, Resulting Numbers: [97, 56, 14] Generated Node #2: [97, 56, 14] from Operation: 71-57=14 Current State: 93:[97, 56, 14], Operations: ['71-57=14'] Exploring Operation: 56/14=4, Resulting Numbers: [97, 4] Generated Node #3: [97, 4] from Operation: 56/14=4 Current State: 93:[97, 4], Operations: ['71-57=14', '56/14=4'] Exploring Operation: 97-4=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 71, 64, 2, 90 ]
33
[ "71+90=161", "64*2=128", "161-128=33" ]
Current State: 33:[71, 64, 2, 90], Operations: [] Exploring Operation: 71+90=161, Resulting Numbers: [64, 2, 161] Generated Node #2: [64, 2, 161] from Operation: 71+90=161 Current State: 33:[64, 2, 161], Operations: ['71+90=161'] Exploring Operation: 64*2=128, Resulting Numbers: [161, 128] Generated Node #3: [161, 128] from Operation: 64*2=128 Current State: 33:[161, 128], Operations: ['71+90=161', '64*2=128'] Exploring Operation: 161-128=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 75, 42, 73, 17 ]
27
[ "75+42=117", "73+17=90", "117-90=27" ]
Current State: 27:[75, 42, 73, 17], Operations: [] Exploring Operation: 75+42=117, Resulting Numbers: [73, 17, 117] Generated Node #2: [73, 17, 117] from Operation: 75+42=117 Current State: 27:[73, 17, 117], Operations: ['75+42=117'] Exploring Operation: 73+17=90, Resulting Numbers: [117, 90] Generated Node #3: [117, 90] from Operation: 73+17=90 Current State: 27:[117, 90], Operations: ['75+42=117', '73+17=90'] Exploring Operation: 117-90=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 75, 3, 46, 2 ]
64
[ "75+3=78", "78-46=32", "2*32=64" ]
Current State: 64:[75, 3, 46, 2], Operations: [] Exploring Operation: 75+3=78, Resulting Numbers: [46, 2, 78] Generated Node #2: [46, 2, 78] from Operation: 75+3=78 Current State: 64:[46, 2, 78], Operations: ['75+3=78'] Exploring Operation: 78-46=32, Resulting Numbers: [2, 32] Generated Node #3: [2, 32] from Operation: 78-46=32 Current State: 64:[2, 32], Operations: ['75+3=78', '78-46=32'] Exploring Operation: 2*32=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 28, 64, 14, 22 ]
84
[ "28+64=92", "22-14=8", "92-8=84" ]
Current State: 84:[28, 64, 14, 22], Operations: [] Exploring Operation: 28+64=92, Resulting Numbers: [14, 22, 92] Generated Node #2: [14, 22, 92] from Operation: 28+64=92 Current State: 84:[14, 22, 92], Operations: ['28+64=92'] Exploring Operation: 22-14=8, Resulting Numbers: [92, 8] Generated Node #3: [92, 8] from Operation: 22-14=8 Current State: 84:[92, 8], Operations: ['28+64=92', '22-14=8'] Exploring Operation: 92-8=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 23, 44, 12, 64 ]
25
[ "44-12=32", "64/32=2", "23+2=25" ]
Current State: 25:[23, 44, 12, 64], Operations: [] Exploring Operation: 44-12=32, Resulting Numbers: [23, 64, 32] Generated Node #2: [23, 64, 32] from Operation: 44-12=32 Current State: 25:[23, 64, 32], Operations: ['44-12=32'] Exploring Operation: 64/32=2, Resulting Numbers: [23, 2] Generated Node #3: [23, 2] from Operation: 64/32=2 Current State: 25:[23, 2], Operations: ['44-12=32', '64/32=2'] Exploring Operation: 23+2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 17, 39, 27, 3 ]
31
[ "39-17=22", "27/3=9", "22+9=31" ]
Current State: 31:[17, 39, 27, 3], Operations: [] Exploring Operation: 39-17=22, Resulting Numbers: [27, 3, 22] Generated Node #2: [27, 3, 22] from Operation: 39-17=22 Current State: 31:[27, 3, 22], Operations: ['39-17=22'] Exploring Operation: 27/3=9, Resulting Numbers: [22, 9] Generated Node #3: [22, 9] from Operation: 27/3=9 Current State: 31:[22, 9], Operations: ['39-17=22', '27/3=9'] Exploring Operation: 22+9=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 56, 14, 93, 8 ]
86
[ "56/8=7", "93-14=79", "7+79=86" ]
Current State: 86:[56, 14, 93, 8], Operations: [] Exploring Operation: 56/8=7, Resulting Numbers: [14, 93, 7] Generated Node #2: [14, 93, 7] from Operation: 56/8=7 Current State: 86:[14, 93, 7], Operations: ['56/8=7'] Exploring Operation: 93-14=79, Resulting Numbers: [7, 79] Generated Node #3: [7, 79] from Operation: 93-14=79 Current State: 86:[7, 79], Operations: ['56/8=7', '93-14=79'] Exploring Operation: 7+79=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 36, 33, 56, 51 ]
74
[ "36+33=69", "56-51=5", "69+5=74" ]
Current State: 74:[36, 33, 56, 51], Operations: [] Exploring Operation: 36+33=69, Resulting Numbers: [56, 51, 69] Generated Node #2: [56, 51, 69] from Operation: 36+33=69 Current State: 74:[56, 51, 69], Operations: ['36+33=69'] Exploring Operation: 56-51=5, Resulting Numbers: [69, 5] Generated Node #3: [69, 5] from Operation: 56-51=5 Current State: 74:[69, 5], Operations: ['36+33=69', '56-51=5'] Exploring Operation: 69+5=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 71, 84, 29, 9 ]
51
[ "84-71=13", "29+9=38", "13+38=51" ]
Current State: 51:[71, 84, 29, 9], Operations: [] Exploring Operation: 84-71=13, Resulting Numbers: [29, 9, 13] Generated Node #2: [29, 9, 13] from Operation: 84-71=13 Current State: 51:[29, 9, 13], Operations: ['84-71=13'] Exploring Operation: 29+9=38, Resulting Numbers: [13, 38] Generated Node #3: [13, 38] from Operation: 29+9=38 Current State: 51:[13, 38], Operations: ['84-71=13', '29+9=38'] Exploring Operation: 13+38=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 67, 60, 31, 55 ]
88
[ "60-55=5", "31*5=155", "155-67=88" ]
Current State: 88:[67, 60, 31, 55], Operations: [] Exploring Operation: 60-55=5, Resulting Numbers: [67, 31, 5] Generated Node #2: [67, 31, 5] from Operation: 60-55=5 Current State: 88:[67, 31, 5], Operations: ['60-55=5'] Exploring Operation: 31*5=155, Resulting Numbers: [67, 155] Generated Node #3: [67, 155] from Operation: 31*5=155 Current State: 88:[67, 155], Operations: ['60-55=5', '31*5=155'] Exploring Operation: 155-67=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 42, 76, 43, 42 ]
43
[ "42-42=0", "76*0=0", "43+0=43" ]
Current State: 43:[42, 76, 43, 42], Operations: [] Exploring Operation: 42-42=0, Resulting Numbers: [76, 43, 0] Generated Node #2: [76, 43, 0] from Operation: 42-42=0 Current State: 43:[76, 43, 0], Operations: ['42-42=0'] Exploring Operation: 76*0=0, Resulting Numbers: [43, 0] Generated Node #3: [43, 0] from Operation: 76*0=0 Current State: 43:[43, 0], Operations: ['42-42=0', '76*0=0'] Exploring Operation: 43+0=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 60, 69, 15, 27 ]
100
[ "60/15=4", "69+27=96", "4+96=100" ]
Current State: 100:[60, 69, 15, 27], Operations: [] Exploring Operation: 60/15=4, Resulting Numbers: [69, 27, 4] Generated Node #2: [69, 27, 4] from Operation: 60/15=4 Current State: 100:[69, 27, 4], Operations: ['60/15=4'] Exploring Operation: 69+27=96, Resulting Numbers: [4, 96] Generated Node #3: [4, 96] from Operation: 69+27=96 Current State: 100:[4, 96], Operations: ['60/15=4', '69+27=96'] Exploring Operation: 4+96=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 65, 53, 51, 36 ]
58
[ "65-36=29", "53-51=2", "29*2=58" ]
Current State: 58:[65, 53, 51, 36], Operations: [] Exploring Operation: 65-36=29, Resulting Numbers: [53, 51, 29] Generated Node #2: [53, 51, 29] from Operation: 65-36=29 Current State: 58:[53, 51, 29], Operations: ['65-36=29'] Exploring Operation: 53-51=2, Resulting Numbers: [29, 2] Generated Node #3: [29, 2] from Operation: 53-51=2 Current State: 58:[29, 2], Operations: ['65-36=29', '53-51=2'] Exploring Operation: 29*2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 11, 37, 39, 34 ]
12
[ "39-37=2", "11*2=22", "34-22=12" ]
Current State: 12:[11, 37, 39, 34], Operations: [] Exploring Operation: 39-37=2, Resulting Numbers: [11, 34, 2] Generated Node #2: [11, 34, 2] from Operation: 39-37=2 Current State: 12:[11, 34, 2], Operations: ['39-37=2'] Exploring Operation: 11*2=22, Resulting Numbers: [34, 22] Generated Node #3: [34, 22] from Operation: 11*2=22 Current State: 12:[34, 22], Operations: ['39-37=2', '11*2=22'] Exploring Operation: 34-22=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 98, 93, 15, 27 ]
37
[ "98-93=5", "15+27=42", "42-5=37" ]
Current State: 37:[98, 93, 15, 27], Operations: [] Exploring Operation: 98-93=5, Resulting Numbers: [15, 27, 5] Generated Node #2: [15, 27, 5] from Operation: 98-93=5 Current State: 37:[15, 27, 5], Operations: ['98-93=5'] Exploring Operation: 15+27=42, Resulting Numbers: [5, 42] Generated Node #3: [5, 42] from Operation: 15+27=42 Current State: 37:[5, 42], Operations: ['98-93=5', '15+27=42'] Exploring Operation: 42-5=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 74, 72, 83, 3 ]
75
[ "83-74=9", "9/3=3", "72+3=75" ]
Current State: 75:[74, 72, 83, 3], Operations: [] Exploring Operation: 83-74=9, Resulting Numbers: [72, 3, 9] Generated Node #2: [72, 3, 9] from Operation: 83-74=9 Current State: 75:[72, 3, 9], Operations: ['83-74=9'] Exploring Operation: 9/3=3, Resulting Numbers: [72, 3] Generated Node #3: [72, 3] from Operation: 9/3=3 Current State: 75:[72, 3], Operations: ['83-74=9', '9/3=3'] Exploring Operation: 72+3=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 40, 70, 20, 41 ]
49
[ "40+70=110", "20+41=61", "110-61=49" ]
Current State: 49:[40, 70, 20, 41], Operations: [] Exploring Operation: 40+70=110, Resulting Numbers: [20, 41, 110] Generated Node #2: [20, 41, 110] from Operation: 40+70=110 Current State: 49:[20, 41, 110], Operations: ['40+70=110'] Exploring Operation: 20+41=61, Resulting Numbers: [110, 61] Generated Node #3: [110, 61] from Operation: 20+41=61 Current State: 49:[110, 61], Operations: ['40+70=110', '20+41=61'] Exploring Operation: 110-61=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 98, 88, 54, 77 ]
58
[ "98*88=8624", "8624/77=112", "112-54=58" ]
Current State: 58:[98, 88, 54, 77], Operations: [] Exploring Operation: 98*88=8624, Resulting Numbers: [54, 77, 8624] Generated Node #2: [54, 77, 8624] from Operation: 98*88=8624 Current State: 58:[54, 77, 8624], Operations: ['98*88=8624'] Exploring Operation: 8624/77=112, Resulting Numbers: [54, 112] Generated Node #3: [54, 112] from Operation: 8624/77=112 Current State: 58:[54, 112], Operations: ['98*88=8624', '8624/77=112'] Exploring Operation: 112-54=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 26, 25, 48, 14 ]
29
[ "26-14=12", "48/12=4", "25+4=29" ]
Current State: 29:[26, 25, 48, 14], Operations: [] Exploring Operation: 26-14=12, Resulting Numbers: [25, 48, 12] Generated Node #2: [25, 48, 12] from Operation: 26-14=12 Current State: 29:[25, 48, 12], Operations: ['26-14=12'] Exploring Operation: 48/12=4, Resulting Numbers: [25, 4] Generated Node #3: [25, 4] from Operation: 48/12=4 Current State: 29:[25, 4], Operations: ['26-14=12', '48/12=4'] Exploring Operation: 25+4=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 23, 77, 94, 47 ]
27
[ "77-23=54", "94/47=2", "54/2=27" ]
Current State: 27:[23, 77, 94, 47], Operations: [] Exploring Operation: 77-23=54, Resulting Numbers: [94, 47, 54] Generated Node #2: [94, 47, 54] from Operation: 77-23=54 Current State: 27:[94, 47, 54], Operations: ['77-23=54'] Exploring Operation: 94/47=2, Resulting Numbers: [54, 2] Generated Node #3: [54, 2] from Operation: 94/47=2 Current State: 27:[54, 2], Operations: ['77-23=54', '94/47=2'] Exploring Operation: 54/2=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 69, 2, 76, 33 ]
95
[ "69*2=138", "76-33=43", "138-43=95" ]
Current State: 95:[69, 2, 76, 33], Operations: [] Exploring Operation: 69*2=138, Resulting Numbers: [76, 33, 138] Generated Node #2: [76, 33, 138] from Operation: 69*2=138 Current State: 95:[76, 33, 138], Operations: ['69*2=138'] Exploring Operation: 76-33=43, Resulting Numbers: [138, 43] Generated Node #3: [138, 43] from Operation: 76-33=43 Current State: 95:[138, 43], Operations: ['69*2=138', '76-33=43'] Exploring Operation: 138-43=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 22, 28, 32, 21 ]
30
[ "32-21=11", "22/11=2", "28+2=30" ]
Current State: 30:[22, 28, 32, 21], Operations: [] Exploring Operation: 32-21=11, Resulting Numbers: [22, 28, 11] Generated Node #2: [22, 28, 11] from Operation: 32-21=11 Current State: 30:[22, 28, 11], Operations: ['32-21=11'] Exploring Operation: 22/11=2, Resulting Numbers: [28, 2] Generated Node #3: [28, 2] from Operation: 22/11=2 Current State: 30:[28, 2], Operations: ['32-21=11', '22/11=2'] Exploring Operation: 28+2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 9, 90, 62, 45 ]
98
[ "90-9=81", "62-45=17", "81+17=98" ]
Current State: 98:[9, 90, 62, 45], Operations: [] Exploring Operation: 90-9=81, Resulting Numbers: [62, 45, 81] Generated Node #2: [62, 45, 81] from Operation: 90-9=81 Current State: 98:[62, 45, 81], Operations: ['90-9=81'] Exploring Operation: 62-45=17, Resulting Numbers: [81, 17] Generated Node #3: [81, 17] from Operation: 62-45=17 Current State: 98:[81, 17], Operations: ['90-9=81', '62-45=17'] Exploring Operation: 81+17=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 37, 35, 1, 12 ]
13
[ "37-35=2", "12-1=11", "2+11=13" ]
Current State: 13:[37, 35, 1, 12], Operations: [] Exploring Operation: 37-35=2, Resulting Numbers: [1, 12, 2] Generated Node #2: [1, 12, 2] from Operation: 37-35=2 Current State: 13:[1, 12, 2], Operations: ['37-35=2'] Exploring Operation: 12-1=11, Resulting Numbers: [2, 11] Generated Node #3: [2, 11] from Operation: 12-1=11 Current State: 13:[2, 11], Operations: ['37-35=2', '12-1=11'] Exploring Operation: 2+11=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 85, 16, 38, 2 ]
82
[ "85+16=101", "38/2=19", "101-19=82" ]
Current State: 82:[85, 16, 38, 2], Operations: [] Exploring Operation: 85+16=101, Resulting Numbers: [38, 2, 101] Generated Node #2: [38, 2, 101] from Operation: 85+16=101 Current State: 82:[38, 2, 101], Operations: ['85+16=101'] Exploring Operation: 38/2=19, Resulting Numbers: [101, 19] Generated Node #3: [101, 19] from Operation: 38/2=19 Current State: 82:[101, 19], Operations: ['85+16=101', '38/2=19'] Exploring Operation: 101-19=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 59, 90, 5, 65 ]
29
[ "90-59=31", "65-5=60", "60-31=29" ]
Current State: 29:[59, 90, 5, 65], Operations: [] Exploring Operation: 90-59=31, Resulting Numbers: [5, 65, 31] Generated Node #2: [5, 65, 31] from Operation: 90-59=31 Current State: 29:[5, 65, 31], Operations: ['90-59=31'] Exploring Operation: 65-5=60, Resulting Numbers: [31, 60] Generated Node #3: [31, 60] from Operation: 65-5=60 Current State: 29:[31, 60], Operations: ['90-59=31', '65-5=60'] Exploring Operation: 60-31=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 59, 67, 58, 92 ]
24
[ "59+67=126", "58+92=150", "150-126=24" ]
Current State: 24:[59, 67, 58, 92], Operations: [] Exploring Operation: 59+67=126, Resulting Numbers: [58, 92, 126] Generated Node #2: [58, 92, 126] from Operation: 59+67=126 Current State: 24:[58, 92, 126], Operations: ['59+67=126'] Exploring Operation: 58+92=150, Resulting Numbers: [126, 150] Generated Node #3: [126, 150] from Operation: 58+92=150 Current State: 24:[126, 150], Operations: ['59+67=126', '58+92=150'] Exploring Operation: 150-126=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 20, 40, 74, 16 ]
78
[ "40-20=20", "74-16=58", "20+58=78" ]
Current State: 78:[20, 40, 74, 16], Operations: [] Exploring Operation: 40-20=20, Resulting Numbers: [74, 16, 20] Generated Node #2: [74, 16, 20] from Operation: 40-20=20 Current State: 78:[74, 16, 20], Operations: ['40-20=20'] Exploring Operation: 74-16=58, Resulting Numbers: [20, 58] Generated Node #3: [20, 58] from Operation: 74-16=58 Current State: 78:[20, 58], Operations: ['40-20=20', '74-16=58'] Exploring Operation: 20+58=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 34, 97, 10, 95 ]
46
[ "34+97=131", "95-10=85", "131-85=46" ]
Current State: 46:[34, 97, 10, 95], Operations: [] Exploring Operation: 34+97=131, Resulting Numbers: [10, 95, 131] Generated Node #2: [10, 95, 131] from Operation: 34+97=131 Current State: 46:[10, 95, 131], Operations: ['34+97=131'] Exploring Operation: 95-10=85, Resulting Numbers: [131, 85] Generated Node #3: [131, 85] from Operation: 95-10=85 Current State: 46:[131, 85], Operations: ['34+97=131', '95-10=85'] Exploring Operation: 131-85=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 3, 81, 34, 21 ]
82
[ "81/3=27", "34+21=55", "27+55=82" ]
Current State: 82:[3, 81, 34, 21], Operations: [] Exploring Operation: 81/3=27, Resulting Numbers: [34, 21, 27] Generated Node #2: [34, 21, 27] from Operation: 81/3=27 Current State: 82:[34, 21, 27], Operations: ['81/3=27'] Exploring Operation: 34+21=55, Resulting Numbers: [27, 55] Generated Node #3: [27, 55] from Operation: 34+21=55 Current State: 82:[27, 55], Operations: ['81/3=27', '34+21=55'] Exploring Operation: 27+55=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 41, 8, 10, 12 ]
17
[ "10-8=2", "12*2=24", "41-24=17" ]
Current State: 17:[41, 8, 10, 12], Operations: [] Exploring Operation: 10-8=2, Resulting Numbers: [41, 12, 2] Generated Node #2: [41, 12, 2] from Operation: 10-8=2 Current State: 17:[41, 12, 2], Operations: ['10-8=2'] Exploring Operation: 12*2=24, Resulting Numbers: [41, 24] Generated Node #3: [41, 24] from Operation: 12*2=24 Current State: 17:[41, 24], Operations: ['10-8=2', '12*2=24'] Exploring Operation: 41-24=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 62, 23, 36, 15 ]
31
[ "36-23=13", "15-13=2", "62/2=31" ]
Current State: 31:[62, 23, 36, 15], Operations: [] Exploring Operation: 36-23=13, Resulting Numbers: [62, 15, 13] Generated Node #2: [62, 15, 13] from Operation: 36-23=13 Current State: 31:[62, 15, 13], Operations: ['36-23=13'] Exploring Operation: 15-13=2, Resulting Numbers: [62, 2] Generated Node #3: [62, 2] from Operation: 15-13=2 Current State: 31:[62, 2], Operations: ['36-23=13', '15-13=2'] Exploring Operation: 62/2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 4, 83, 13, 68 ]
87
[ "4+13=17", "68/17=4", "83+4=87" ]
Current State: 87:[4, 83, 13, 68], Operations: [] Exploring Operation: 4+13=17, Resulting Numbers: [83, 68, 17] Generated Node #2: [83, 68, 17] from Operation: 4+13=17 Current State: 87:[83, 68, 17], Operations: ['4+13=17'] Exploring Operation: 68/17=4, Resulting Numbers: [83, 4] Generated Node #3: [83, 4] from Operation: 68/17=4 Current State: 87:[83, 4], Operations: ['4+13=17', '68/17=4'] Exploring Operation: 83+4=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 81, 25, 17, 18 ]
36
[ "25-17=8", "81*8=648", "648/18=36" ]
Current State: 36:[81, 25, 17, 18], Operations: [] Exploring Operation: 25-17=8, Resulting Numbers: [81, 18, 8] Generated Node #2: [81, 18, 8] from Operation: 25-17=8 Current State: 36:[81, 18, 8], Operations: ['25-17=8'] Exploring Operation: 81*8=648, Resulting Numbers: [18, 648] Generated Node #3: [18, 648] from Operation: 81*8=648 Current State: 36:[18, 648], Operations: ['25-17=8', '81*8=648'] Exploring Operation: 648/18=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 2, 5, 41, 75 ]
58
[ "2+41=43", "75/5=15", "43+15=58" ]
Current State: 58:[2, 5, 41, 75], Operations: [] Exploring Operation: 2+41=43, Resulting Numbers: [5, 75, 43] Generated Node #2: [5, 75, 43] from Operation: 2+41=43 Current State: 58:[5, 75, 43], Operations: ['2+41=43'] Exploring Operation: 75/5=15, Resulting Numbers: [43, 15] Generated Node #3: [43, 15] from Operation: 75/5=15 Current State: 58:[43, 15], Operations: ['2+41=43', '75/5=15'] Exploring Operation: 43+15=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 60, 30, 4, 92 ]
67
[ "60+30=90", "92/4=23", "90-23=67" ]
Current State: 67:[60, 30, 4, 92], Operations: [] Exploring Operation: 60+30=90, Resulting Numbers: [4, 92, 90] Generated Node #2: [4, 92, 90] from Operation: 60+30=90 Current State: 67:[4, 92, 90], Operations: ['60+30=90'] Exploring Operation: 92/4=23, Resulting Numbers: [90, 23] Generated Node #3: [90, 23] from Operation: 92/4=23 Current State: 67:[90, 23], Operations: ['60+30=90', '92/4=23'] Exploring Operation: 90-23=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 35, 89, 27, 4 ]
93
[ "35+89=124", "27+4=31", "124-31=93" ]
Current State: 93:[35, 89, 27, 4], Operations: [] Exploring Operation: 35+89=124, Resulting Numbers: [27, 4, 124] Generated Node #2: [27, 4, 124] from Operation: 35+89=124 Current State: 93:[27, 4, 124], Operations: ['35+89=124'] Exploring Operation: 27+4=31, Resulting Numbers: [124, 31] Generated Node #3: [124, 31] from Operation: 27+4=31 Current State: 93:[124, 31], Operations: ['35+89=124', '27+4=31'] Exploring Operation: 124-31=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 75, 51, 1, 82 ]
43
[ "75+51=126", "1+82=83", "126-83=43" ]
Current State: 43:[75, 51, 1, 82], Operations: [] Exploring Operation: 75+51=126, Resulting Numbers: [1, 82, 126] Generated Node #2: [1, 82, 126] from Operation: 75+51=126 Current State: 43:[1, 82, 126], Operations: ['75+51=126'] Exploring Operation: 1+82=83, Resulting Numbers: [126, 83] Generated Node #3: [126, 83] from Operation: 1+82=83 Current State: 43:[126, 83], Operations: ['75+51=126', '1+82=83'] Exploring Operation: 126-83=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 88, 44, 16, 86 ]
52
[ "88-86=2", "16/2=8", "44+8=52" ]
Current State: 52:[88, 44, 16, 86], Operations: [] Exploring Operation: 88-86=2, Resulting Numbers: [44, 16, 2] Generated Node #2: [44, 16, 2] from Operation: 88-86=2 Current State: 52:[44, 16, 2], Operations: ['88-86=2'] Exploring Operation: 16/2=8, Resulting Numbers: [44, 8] Generated Node #3: [44, 8] from Operation: 16/2=8 Current State: 52:[44, 8], Operations: ['88-86=2', '16/2=8'] Exploring Operation: 44+8=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 91, 28, 23, 15 ]
16
[ "28-23=5", "15*5=75", "91-75=16" ]
Current State: 16:[91, 28, 23, 15], Operations: [] Exploring Operation: 28-23=5, Resulting Numbers: [91, 15, 5] Generated Node #2: [91, 15, 5] from Operation: 28-23=5 Current State: 16:[91, 15, 5], Operations: ['28-23=5'] Exploring Operation: 15*5=75, Resulting Numbers: [91, 75] Generated Node #3: [91, 75] from Operation: 15*5=75 Current State: 16:[91, 75], Operations: ['28-23=5', '15*5=75'] Exploring Operation: 91-75=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 51, 30, 4, 49 ]
20
[ "51+49=100", "30*4=120", "120-100=20" ]
Current State: 20:[51, 30, 4, 49], Operations: [] Exploring Operation: 51+49=100, Resulting Numbers: [30, 4, 100] Generated Node #2: [30, 4, 100] from Operation: 51+49=100 Current State: 20:[30, 4, 100], Operations: ['51+49=100'] Exploring Operation: 30*4=120, Resulting Numbers: [100, 120] Generated Node #3: [100, 120] from Operation: 30*4=120 Current State: 20:[100, 120], Operations: ['51+49=100', '30*4=120'] Exploring Operation: 120-100=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 6, 34, 66, 65 ]
42
[ "66/6=11", "65-34=31", "11+31=42" ]
Current State: 42:[6, 34, 66, 65], Operations: [] Exploring Operation: 66/6=11, Resulting Numbers: [34, 65, 11] Generated Node #2: [34, 65, 11] from Operation: 66/6=11 Current State: 42:[34, 65, 11], Operations: ['66/6=11'] Exploring Operation: 65-34=31, Resulting Numbers: [11, 31] Generated Node #3: [11, 31] from Operation: 65-34=31 Current State: 42:[11, 31], Operations: ['66/6=11', '65-34=31'] Exploring Operation: 11+31=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 63, 36, 65, 56 ]
10
[ "65-63=2", "56-36=20", "20/2=10" ]
Current State: 10:[63, 36, 65, 56], Operations: [] Exploring Operation: 65-63=2, Resulting Numbers: [36, 56, 2] Generated Node #2: [36, 56, 2] from Operation: 65-63=2 Current State: 10:[36, 56, 2], Operations: ['65-63=2'] Exploring Operation: 56-36=20, Resulting Numbers: [2, 20] Generated Node #3: [2, 20] from Operation: 56-36=20 Current State: 10:[2, 20], Operations: ['65-63=2', '56-36=20'] Exploring Operation: 20/2=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 18, 58, 47, 16 ]
82
[ "18*47=846", "58*16=928", "928-846=82" ]
Current State: 82:[18, 58, 47, 16], Operations: [] Exploring Operation: 18*47=846, Resulting Numbers: [58, 16, 846] Generated Node #2: [58, 16, 846] from Operation: 18*47=846 Current State: 82:[58, 16, 846], Operations: ['18*47=846'] Exploring Operation: 58*16=928, Resulting Numbers: [846, 928] Generated Node #3: [846, 928] from Operation: 58*16=928 Current State: 82:[846, 928], Operations: ['18*47=846', '58*16=928'] Exploring Operation: 928-846=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 45, 88, 45, 79 ]
77
[ "88-45=43", "79-45=34", "43+34=77" ]
Current State: 77:[45, 88, 45, 79], Operations: [] Exploring Operation: 88-45=43, Resulting Numbers: [79, 43] Generated Node #2: [79, 43] from Operation: 88-45=43 Current State: 77:[79, 43], Operations: ['88-45=43'] Exploring Operation: 79-45=34, Resulting Numbers: [43, 34] Generated Node #3: [43, 34] from Operation: 79-45=34 Current State: 77:[43, 34], Operations: ['88-45=43', '79-45=34'] Exploring Operation: 43+34=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 2, 4, 28, 68 ]
36
[ "28-2=26", "4*26=104", "104-68=36" ]
Current State: 36:[2, 4, 28, 68], Operations: [] Exploring Operation: 28-2=26, Resulting Numbers: [4, 68, 26] Generated Node #2: [4, 68, 26] from Operation: 28-2=26 Current State: 36:[4, 68, 26], Operations: ['28-2=26'] Exploring Operation: 4*26=104, Resulting Numbers: [68, 104] Generated Node #3: [68, 104] from Operation: 4*26=104 Current State: 36:[68, 104], Operations: ['28-2=26', '4*26=104'] Exploring Operation: 104-68=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 44, 90, 78, 21 ]
75
[ "44+21=65", "90*65=5850", "5850/78=75" ]
Current State: 75:[44, 90, 78, 21], Operations: [] Exploring Operation: 44+21=65, Resulting Numbers: [90, 78, 65] Generated Node #2: [90, 78, 65] from Operation: 44+21=65 Current State: 75:[90, 78, 65], Operations: ['44+21=65'] Exploring Operation: 90*65=5850, Resulting Numbers: [78, 5850] Generated Node #3: [78, 5850] from Operation: 90*65=5850 Current State: 75:[78, 5850], Operations: ['44+21=65', '90*65=5850'] Exploring Operation: 5850/78=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 93, 93, 25, 48 ]
25
[ "93-93=0", "48*0=0", "25+0=25" ]
Current State: 25:[93, 93, 25, 48], Operations: [] Exploring Operation: 93-93=0, Resulting Numbers: [25, 48, 0] Generated Node #2: [25, 48, 0] from Operation: 93-93=0 Current State: 25:[25, 48, 0], Operations: ['93-93=0'] Exploring Operation: 48*0=0, Resulting Numbers: [25, 0] Generated Node #3: [25, 0] from Operation: 48*0=0 Current State: 25:[25, 0], Operations: ['93-93=0', '48*0=0'] Exploring Operation: 25+0=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 18, 16, 8, 71 ]
97
[ "18+16=34", "71-8=63", "34+63=97" ]
Current State: 97:[18, 16, 8, 71], Operations: [] Exploring Operation: 18+16=34, Resulting Numbers: [8, 71, 34] Generated Node #2: [8, 71, 34] from Operation: 18+16=34 Current State: 97:[8, 71, 34], Operations: ['18+16=34'] Exploring Operation: 71-8=63, Resulting Numbers: [34, 63] Generated Node #3: [34, 63] from Operation: 71-8=63 Current State: 97:[34, 63], Operations: ['18+16=34', '71-8=63'] Exploring Operation: 34+63=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 57, 30, 75, 92 ]
15
[ "57+30=87", "92-87=5", "75/5=15" ]
Current State: 15:[57, 30, 75, 92], Operations: [] Exploring Operation: 57+30=87, Resulting Numbers: [75, 92, 87] Generated Node #2: [75, 92, 87] from Operation: 57+30=87 Current State: 15:[75, 92, 87], Operations: ['57+30=87'] Exploring Operation: 92-87=5, Resulting Numbers: [75, 5] Generated Node #3: [75, 5] from Operation: 92-87=5 Current State: 15:[75, 5], Operations: ['57+30=87', '92-87=5'] Exploring Operation: 75/5=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 43, 16, 18, 79 ]
38
[ "43+16=59", "18+79=97", "97-59=38" ]
Current State: 38:[43, 16, 18, 79], Operations: [] Exploring Operation: 43+16=59, Resulting Numbers: [18, 79, 59] Generated Node #2: [18, 79, 59] from Operation: 43+16=59 Current State: 38:[18, 79, 59], Operations: ['43+16=59'] Exploring Operation: 18+79=97, Resulting Numbers: [59, 97] Generated Node #3: [59, 97] from Operation: 18+79=97 Current State: 38:[59, 97], Operations: ['43+16=59', '18+79=97'] Exploring Operation: 97-59=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 35, 31, 26, 13 ]
97
[ "31*26=806", "806/13=62", "35+62=97" ]
Current State: 97:[35, 31, 26, 13], Operations: [] Exploring Operation: 31*26=806, Resulting Numbers: [35, 13, 806] Generated Node #2: [35, 13, 806] from Operation: 31*26=806 Current State: 97:[35, 13, 806], Operations: ['31*26=806'] Exploring Operation: 806/13=62, Resulting Numbers: [35, 62] Generated Node #3: [35, 62] from Operation: 806/13=62 Current State: 97:[35, 62], Operations: ['31*26=806', '806/13=62'] Exploring Operation: 35+62=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 8, 80, 7, 5 ]
37
[ "80-8=72", "7*5=35", "72-35=37" ]
Current State: 37:[8, 80, 7, 5], Operations: [] Exploring Operation: 80-8=72, Resulting Numbers: [7, 5, 72] Generated Node #2: [7, 5, 72] from Operation: 80-8=72 Current State: 37:[7, 5, 72], Operations: ['80-8=72'] Exploring Operation: 7*5=35, Resulting Numbers: [72, 35] Generated Node #3: [72, 35] from Operation: 7*5=35 Current State: 37:[72, 35], Operations: ['80-8=72', '7*5=35'] Exploring Operation: 72-35=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 75, 65, 91, 5 ]
89
[ "75-65=10", "10/5=2", "91-2=89" ]
Current State: 89:[75, 65, 91, 5], Operations: [] Exploring Operation: 75-65=10, Resulting Numbers: [91, 5, 10] Generated Node #2: [91, 5, 10] from Operation: 75-65=10 Current State: 89:[91, 5, 10], Operations: ['75-65=10'] Exploring Operation: 10/5=2, Resulting Numbers: [91, 2] Generated Node #3: [91, 2] from Operation: 10/5=2 Current State: 89:[91, 2], Operations: ['75-65=10', '10/5=2'] Exploring Operation: 91-2=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 72, 78, 42, 75 ]
18
[ "78-75=3", "72/3=24", "42-24=18" ]
Current State: 18:[72, 78, 42, 75], Operations: [] Exploring Operation: 78-75=3, Resulting Numbers: [72, 42, 3] Generated Node #2: [72, 42, 3] from Operation: 78-75=3 Current State: 18:[72, 42, 3], Operations: ['78-75=3'] Exploring Operation: 72/3=24, Resulting Numbers: [42, 24] Generated Node #3: [42, 24] from Operation: 72/3=24 Current State: 18:[42, 24], Operations: ['78-75=3', '72/3=24'] Exploring Operation: 42-24=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 28, 58, 94, 2 ]
74
[ "94-28=66", "2*66=132", "132-58=74" ]
Current State: 74:[28, 58, 94, 2], Operations: [] Exploring Operation: 94-28=66, Resulting Numbers: [58, 2, 66] Generated Node #2: [58, 2, 66] from Operation: 94-28=66 Current State: 74:[58, 2, 66], Operations: ['94-28=66'] Exploring Operation: 2*66=132, Resulting Numbers: [58, 132] Generated Node #3: [58, 132] from Operation: 2*66=132 Current State: 74:[58, 132], Operations: ['94-28=66', '2*66=132'] Exploring Operation: 132-58=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 28, 3, 9, 11 ]
50
[ "28-3=25", "11-9=2", "25*2=50" ]
Current State: 50:[28, 3, 9, 11], Operations: [] Exploring Operation: 28-3=25, Resulting Numbers: [9, 11, 25] Generated Node #2: [9, 11, 25] from Operation: 28-3=25 Current State: 50:[9, 11, 25], Operations: ['28-3=25'] Exploring Operation: 11-9=2, Resulting Numbers: [25, 2] Generated Node #3: [25, 2] from Operation: 11-9=2 Current State: 50:[25, 2], Operations: ['28-3=25', '11-9=2'] Exploring Operation: 25*2=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 64, 76, 9, 78 ]
57
[ "76-64=12", "78-9=69", "69-12=57" ]
Current State: 57:[64, 76, 9, 78], Operations: [] Exploring Operation: 76-64=12, Resulting Numbers: [9, 78, 12] Generated Node #2: [9, 78, 12] from Operation: 76-64=12 Current State: 57:[9, 78, 12], Operations: ['76-64=12'] Exploring Operation: 78-9=69, Resulting Numbers: [12, 69] Generated Node #3: [12, 69] from Operation: 78-9=69 Current State: 57:[12, 69], Operations: ['76-64=12', '78-9=69'] Exploring Operation: 69-12=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 5, 45, 49, 81 ]
35
[ "45+49=94", "81+94=175", "175/5=35" ]
Current State: 35:[5, 45, 49, 81], Operations: [] Exploring Operation: 45+49=94, Resulting Numbers: [5, 81, 94] Generated Node #2: [5, 81, 94] from Operation: 45+49=94 Current State: 35:[5, 81, 94], Operations: ['45+49=94'] Exploring Operation: 81+94=175, Resulting Numbers: [5, 175] Generated Node #3: [5, 175] from Operation: 81+94=175 Current State: 35:[5, 175], Operations: ['45+49=94', '81+94=175'] Exploring Operation: 175/5=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 4, 64, 18, 3 ]
89
[ "4+64=68", "18+3=21", "68+21=89" ]
Current State: 89:[4, 64, 18, 3], Operations: [] Exploring Operation: 4+64=68, Resulting Numbers: [18, 3, 68] Generated Node #2: [18, 3, 68] from Operation: 4+64=68 Current State: 89:[18, 3, 68], Operations: ['4+64=68'] Exploring Operation: 18+3=21, Resulting Numbers: [68, 21] Generated Node #3: [68, 21] from Operation: 18+3=21 Current State: 89:[68, 21], Operations: ['4+64=68', '18+3=21'] Exploring Operation: 68+21=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 64, 80, 19, 27 ]
62
[ "80-64=16", "19+27=46", "16+46=62" ]
Current State: 62:[64, 80, 19, 27], Operations: [] Exploring Operation: 80-64=16, Resulting Numbers: [19, 27, 16] Generated Node #2: [19, 27, 16] from Operation: 80-64=16 Current State: 62:[19, 27, 16], Operations: ['80-64=16'] Exploring Operation: 19+27=46, Resulting Numbers: [16, 46] Generated Node #3: [16, 46] from Operation: 19+27=46 Current State: 62:[16, 46], Operations: ['80-64=16', '19+27=46'] Exploring Operation: 16+46=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 13, 3, 1, 5 ]
57
[ "13+1=14", "5+14=19", "3*19=57" ]
Current State: 57:[13, 3, 1, 5], Operations: [] Exploring Operation: 13+1=14, Resulting Numbers: [3, 5, 14] Generated Node #2: [3, 5, 14] from Operation: 13+1=14 Current State: 57:[3, 5, 14], Operations: ['13+1=14'] Exploring Operation: 5+14=19, Resulting Numbers: [3, 19] Generated Node #3: [3, 19] from Operation: 5+14=19 Current State: 57:[3, 19], Operations: ['13+1=14', '5+14=19'] Exploring Operation: 3*19=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 5, 95, 91, 8 ]
10
[ "5*8=40", "95-91=4", "40/4=10" ]
Current State: 10:[5, 95, 91, 8], Operations: [] Exploring Operation: 5*8=40, Resulting Numbers: [95, 91, 40] Generated Node #2: [95, 91, 40] from Operation: 5*8=40 Current State: 10:[95, 91, 40], Operations: ['5*8=40'] Exploring Operation: 95-91=4, Resulting Numbers: [40, 4] Generated Node #3: [40, 4] from Operation: 95-91=4 Current State: 10:[40, 4], Operations: ['5*8=40', '95-91=4'] Exploring Operation: 40/4=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 99, 31, 2, 16 ]
48
[ "99*16=1584", "31+2=33", "1584/33=48" ]
Current State: 48:[99, 31, 2, 16], Operations: [] Exploring Operation: 99*16=1584, Resulting Numbers: [31, 2, 1584] Generated Node #2: [31, 2, 1584] from Operation: 99*16=1584 Current State: 48:[31, 2, 1584], Operations: ['99*16=1584'] Exploring Operation: 31+2=33, Resulting Numbers: [1584, 33] Generated Node #3: [1584, 33] from Operation: 31+2=33 Current State: 48:[1584, 33], Operations: ['99*16=1584', '31+2=33'] Exploring Operation: 1584/33=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 3, 3, 84, 56 ]
75
[ "84-3=81", "81-56=25", "3*25=75" ]
Current State: 75:[3, 3, 84, 56], Operations: [] Exploring Operation: 84-3=81, Resulting Numbers: [56, 81] Generated Node #2: [56, 81] from Operation: 84-3=81 Current State: 75:[56, 81], Operations: ['84-3=81'] Exploring Operation: 81-56=25, Resulting Numbers: [25] 25,75 equal: Goal Reached Exploring Operation: 3*25=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 4, 93, 28, 8 ]
31
[ "28-4=24", "93*8=744", "744/24=31" ]
Current State: 31:[4, 93, 28, 8], Operations: [] Exploring Operation: 28-4=24, Resulting Numbers: [93, 8, 24] Generated Node #2: [93, 8, 24] from Operation: 28-4=24 Current State: 31:[93, 8, 24], Operations: ['28-4=24'] Exploring Operation: 93*8=744, Resulting Numbers: [24, 744] Generated Node #3: [24, 744] from Operation: 93*8=744 Current State: 31:[24, 744], Operations: ['28-4=24', '93*8=744'] Exploring Operation: 744/24=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 19, 16, 34, 30 ]
45
[ "34-30=4", "16*4=64", "64-19=45" ]
Current State: 45:[19, 16, 34, 30], Operations: [] Exploring Operation: 34-30=4, Resulting Numbers: [19, 16, 4] Generated Node #2: [19, 16, 4] from Operation: 34-30=4 Current State: 45:[19, 16, 4], Operations: ['34-30=4'] Exploring Operation: 16*4=64, Resulting Numbers: [19, 64] Generated Node #3: [19, 64] from Operation: 16*4=64 Current State: 45:[19, 64], Operations: ['34-30=4', '16*4=64'] Exploring Operation: 64-19=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 27, 55, 6, 51 ]
17
[ "55-27=28", "51-6=45", "45-28=17" ]
Current State: 17:[27, 55, 6, 51], Operations: [] Exploring Operation: 55-27=28, Resulting Numbers: [6, 51, 28] Generated Node #2: [6, 51, 28] from Operation: 55-27=28 Current State: 17:[6, 51, 28], Operations: ['55-27=28'] Exploring Operation: 51-6=45, Resulting Numbers: [28, 45] Generated Node #3: [28, 45] from Operation: 51-6=45 Current State: 17:[28, 45], Operations: ['55-27=28', '51-6=45'] Exploring Operation: 45-28=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 46, 57, 24, 53 ]
40
[ "57-46=11", "53-24=29", "11+29=40" ]
Current State: 40:[46, 57, 24, 53], Operations: [] Exploring Operation: 57-46=11, Resulting Numbers: [24, 53, 11] Generated Node #2: [24, 53, 11] from Operation: 57-46=11 Current State: 40:[24, 53, 11], Operations: ['57-46=11'] Exploring Operation: 53-24=29, Resulting Numbers: [11, 29] Generated Node #3: [11, 29] from Operation: 53-24=29 Current State: 40:[11, 29], Operations: ['57-46=11', '53-24=29'] Exploring Operation: 11+29=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 52, 47, 50, 12 ]
88
[ "50-47=3", "12*3=36", "52+36=88" ]
Current State: 88:[52, 47, 50, 12], Operations: [] Exploring Operation: 50-47=3, Resulting Numbers: [52, 12, 3] Generated Node #2: [52, 12, 3] from Operation: 50-47=3 Current State: 88:[52, 12, 3], Operations: ['50-47=3'] Exploring Operation: 12*3=36, Resulting Numbers: [52, 36] Generated Node #3: [52, 36] from Operation: 12*3=36 Current State: 88:[52, 36], Operations: ['50-47=3', '12*3=36'] Exploring Operation: 52+36=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 91, 43, 2, 46 ]
50
[ "91-43=48", "2*48=96", "96-46=50" ]
Current State: 50:[91, 43, 2, 46], Operations: [] Exploring Operation: 91-43=48, Resulting Numbers: [2, 46, 48] Generated Node #2: [2, 46, 48] from Operation: 91-43=48 Current State: 50:[2, 46, 48], Operations: ['91-43=48'] Exploring Operation: 2*48=96, Resulting Numbers: [46, 96] Generated Node #3: [46, 96] from Operation: 2*48=96 Current State: 50:[46, 96], Operations: ['91-43=48', '2*48=96'] Exploring Operation: 96-46=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 88, 51, 13, 53 ]
29
[ "88-51=37", "13+53=66", "66-37=29" ]
Current State: 29:[88, 51, 13, 53], Operations: [] Exploring Operation: 88-51=37, Resulting Numbers: [13, 53, 37] Generated Node #2: [13, 53, 37] from Operation: 88-51=37 Current State: 29:[13, 53, 37], Operations: ['88-51=37'] Exploring Operation: 13+53=66, Resulting Numbers: [37, 66] Generated Node #3: [37, 66] from Operation: 13+53=66 Current State: 29:[37, 66], Operations: ['88-51=37', '13+53=66'] Exploring Operation: 66-37=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 16, 94, 78, 63 ]
39
[ "63-16=47", "94/47=2", "78/2=39" ]
Current State: 39:[16, 94, 78, 63], Operations: [] Exploring Operation: 63-16=47, Resulting Numbers: [94, 78, 47] Generated Node #2: [94, 78, 47] from Operation: 63-16=47 Current State: 39:[94, 78, 47], Operations: ['63-16=47'] Exploring Operation: 94/47=2, Resulting Numbers: [78, 2] Generated Node #3: [78, 2] from Operation: 94/47=2 Current State: 39:[78, 2], Operations: ['63-16=47', '94/47=2'] Exploring Operation: 78/2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 26, 63, 15, 78 ]
68
[ "26*15=390", "390/78=5", "63+5=68" ]
Current State: 68:[26, 63, 15, 78], Operations: [] Exploring Operation: 26*15=390, Resulting Numbers: [63, 78, 390] Generated Node #2: [63, 78, 390] from Operation: 26*15=390 Current State: 68:[63, 78, 390], Operations: ['26*15=390'] Exploring Operation: 390/78=5, Resulting Numbers: [63, 5] Generated Node #3: [63, 5] from Operation: 390/78=5 Current State: 68:[63, 5], Operations: ['26*15=390', '390/78=5'] Exploring Operation: 63+5=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 96, 5, 83, 32 ]
91
[ "96/32=3", "5+83=88", "3+88=91" ]
Current State: 91:[96, 5, 83, 32], Operations: [] Exploring Operation: 96/32=3, Resulting Numbers: [5, 83, 3] Generated Node #2: [5, 83, 3] from Operation: 96/32=3 Current State: 91:[5, 83, 3], Operations: ['96/32=3'] Exploring Operation: 5+83=88, Resulting Numbers: [3, 88] Generated Node #3: [3, 88] from Operation: 5+83=88 Current State: 91:[3, 88], Operations: ['96/32=3', '5+83=88'] Exploring Operation: 3+88=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 29, 31, 75, 1 ]
25
[ "31-29=2", "1+2=3", "75/3=25" ]
Current State: 25:[29, 31, 75, 1], Operations: [] Exploring Operation: 31-29=2, Resulting Numbers: [75, 1, 2] Generated Node #2: [75, 1, 2] from Operation: 31-29=2 Current State: 25:[75, 1, 2], Operations: ['31-29=2'] Exploring Operation: 1+2=3, Resulting Numbers: [75, 3] Generated Node #3: [75, 3] from Operation: 1+2=3 Current State: 25:[75, 3], Operations: ['31-29=2', '1+2=3'] Exploring Operation: 75/3=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 34, 36, 24, 64 ]
42
[ "36-34=2", "64-24=40", "2+40=42" ]
Current State: 42:[34, 36, 24, 64], Operations: [] Exploring Operation: 36-34=2, Resulting Numbers: [24, 64, 2] Generated Node #2: [24, 64, 2] from Operation: 36-34=2 Current State: 42:[24, 64, 2], Operations: ['36-34=2'] Exploring Operation: 64-24=40, Resulting Numbers: [2, 40] Generated Node #3: [2, 40] from Operation: 64-24=40 Current State: 42:[2, 40], Operations: ['36-34=2', '64-24=40'] Exploring Operation: 2+40=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 9, 54, 77, 41 ]
55
[ "9+54=63", "77+41=118", "118-63=55" ]
Current State: 55:[9, 54, 77, 41], Operations: [] Exploring Operation: 9+54=63, Resulting Numbers: [77, 41, 63] Generated Node #2: [77, 41, 63] from Operation: 9+54=63 Current State: 55:[77, 41, 63], Operations: ['9+54=63'] Exploring Operation: 77+41=118, Resulting Numbers: [63, 118] Generated Node #3: [63, 118] from Operation: 77+41=118 Current State: 55:[63, 118], Operations: ['9+54=63', '77+41=118'] Exploring Operation: 118-63=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 3, 97, 28, 51 ]
86
[ "51/3=17", "97-28=69", "17+69=86" ]
Current State: 86:[3, 97, 28, 51], Operations: [] Exploring Operation: 51/3=17, Resulting Numbers: [97, 28, 17] Generated Node #2: [97, 28, 17] from Operation: 51/3=17 Current State: 86:[97, 28, 17], Operations: ['51/3=17'] Exploring Operation: 97-28=69, Resulting Numbers: [17, 69] Generated Node #3: [17, 69] from Operation: 97-28=69 Current State: 86:[17, 69], Operations: ['51/3=17', '97-28=69'] Exploring Operation: 17+69=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 42, 29, 54, 88 ]
71
[ "42+29=71", "54+88=142", "142-71=71" ]
Current State: 71:[42, 29, 54, 88], Operations: [] Exploring Operation: 42+29=71, Resulting Numbers: [54, 88, 71] Generated Node #2: [54, 88, 71] from Operation: 42+29=71 Current State: 71:[54, 88, 71], Operations: ['42+29=71'] Exploring Operation: 54+88=142, Resulting Numbers: [71, 142] Generated Node #3: [71, 142] from Operation: 54+88=142 Current State: 71:[71, 142], Operations: ['42+29=71', '54+88=142'] Exploring Operation: 142-71=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 99, 3, 5, 3 ]
88
[ "99-3=96", "5+3=8", "96-8=88" ]
Current State: 88:[99, 3, 5, 3], Operations: [] Exploring Operation: 99-3=96, Resulting Numbers: [5, 96] Generated Node #2: [5, 96] from Operation: 99-3=96 Current State: 88:[5, 96], Operations: ['99-3=96'] Exploring Operation: 5+3=8, Resulting Numbers: [96, 8] Generated Node #3: [96, 8] from Operation: 5+3=8 Current State: 88:[96, 8], Operations: ['99-3=96', '5+3=8'] Exploring Operation: 96-8=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 93, 95, 38, 99 ]
51
[ "93+95=188", "38+99=137", "188-137=51" ]
Current State: 51:[93, 95, 38, 99], Operations: [] Exploring Operation: 93+95=188, Resulting Numbers: [38, 99, 188] Generated Node #2: [38, 99, 188] from Operation: 93+95=188 Current State: 51:[38, 99, 188], Operations: ['93+95=188'] Exploring Operation: 38+99=137, Resulting Numbers: [188, 137] Generated Node #3: [188, 137] from Operation: 38+99=137 Current State: 51:[188, 137], Operations: ['93+95=188', '38+99=137'] Exploring Operation: 188-137=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 14, 41, 67, 3 ]
37
[ "41-14=27", "67-3=64", "64-27=37" ]
Current State: 37:[14, 41, 67, 3], Operations: [] Exploring Operation: 41-14=27, Resulting Numbers: [67, 3, 27] Generated Node #2: [67, 3, 27] from Operation: 41-14=27 Current State: 37:[67, 3, 27], Operations: ['41-14=27'] Exploring Operation: 67-3=64, Resulting Numbers: [27, 64] Generated Node #3: [27, 64] from Operation: 67-3=64 Current State: 37:[27, 64], Operations: ['41-14=27', '67-3=64'] Exploring Operation: 64-27=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 61, 91, 37, 15 ]
52
[ "91-61=30", "37-15=22", "30+22=52" ]
Current State: 52:[61, 91, 37, 15], Operations: [] Exploring Operation: 91-61=30, Resulting Numbers: [37, 15, 30] Generated Node #2: [37, 15, 30] from Operation: 91-61=30 Current State: 52:[37, 15, 30], Operations: ['91-61=30'] Exploring Operation: 37-15=22, Resulting Numbers: [30, 22] Generated Node #3: [30, 22] from Operation: 37-15=22 Current State: 52:[30, 22], Operations: ['91-61=30', '37-15=22'] Exploring Operation: 30+22=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 81, 53, 51, 69 ]
93
[ "53-51=2", "81*2=162", "162-69=93" ]
Current State: 93:[81, 53, 51, 69], Operations: [] Exploring Operation: 53-51=2, Resulting Numbers: [81, 69, 2] Generated Node #2: [81, 69, 2] from Operation: 53-51=2 Current State: 93:[81, 69, 2], Operations: ['53-51=2'] Exploring Operation: 81*2=162, Resulting Numbers: [69, 162] Generated Node #3: [69, 162] from Operation: 81*2=162 Current State: 93:[69, 162], Operations: ['53-51=2', '81*2=162'] Exploring Operation: 162-69=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 77, 56, 44, 68 ]
63
[ "77*68=5236", "5236/44=119", "119-56=63" ]
Current State: 63:[77, 56, 44, 68], Operations: [] Exploring Operation: 77*68=5236, Resulting Numbers: [56, 44, 5236] Generated Node #2: [56, 44, 5236] from Operation: 77*68=5236 Current State: 63:[56, 44, 5236], Operations: ['77*68=5236'] Exploring Operation: 5236/44=119, Resulting Numbers: [56, 119] Generated Node #3: [56, 119] from Operation: 5236/44=119 Current State: 63:[56, 119], Operations: ['77*68=5236', '5236/44=119'] Exploring Operation: 119-56=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 22, 77, 69, 46 ]
77
[ "69-22=47", "47-46=1", "77*1=77" ]
Current State: 77:[22, 77, 69, 46], Operations: [] Exploring Operation: 69-22=47, Resulting Numbers: [77, 46, 47] Generated Node #2: [77, 46, 47] from Operation: 69-22=47 Current State: 77:[77, 46, 47], Operations: ['69-22=47'] Exploring Operation: 47-46=1, Resulting Numbers: [77, 1] Generated Node #3: [77, 1] from Operation: 47-46=1 Current State: 77:[77, 1], Operations: ['69-22=47', '47-46=1'] Exploring Operation: 77*1=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 26, 41, 27, 86 ]
45
[ "27-26=1", "86-41=45", "1*45=45" ]
Current State: 45:[26, 41, 27, 86], Operations: [] Exploring Operation: 27-26=1, Resulting Numbers: [41, 86, 1] Generated Node #2: [41, 86, 1] from Operation: 27-26=1 Current State: 45:[41, 86, 1], Operations: ['27-26=1'] Exploring Operation: 86-41=45, Resulting Numbers: [1, 45] Generated Node #3: [1, 45] from Operation: 86-41=45 Current State: 45:[1, 45], Operations: ['27-26=1', '86-41=45'] Exploring Operation: 1*45=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 15, 10, 75, 52 ]
49
[ "15+10=25", "75/25=3", "52-3=49" ]
Current State: 49:[15, 10, 75, 52], Operations: [] Exploring Operation: 15+10=25, Resulting Numbers: [75, 52, 25] Generated Node #2: [75, 52, 25] from Operation: 15+10=25 Current State: 49:[75, 52, 25], Operations: ['15+10=25'] Exploring Operation: 75/25=3, Resulting Numbers: [52, 3] Generated Node #3: [52, 3] from Operation: 75/25=3 Current State: 49:[52, 3], Operations: ['15+10=25', '75/25=3'] Exploring Operation: 52-3=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 17, 94, 62, 98 ]
49
[ "17+94=111", "62+98=160", "160-111=49" ]
Current State: 49:[17, 94, 62, 98], Operations: [] Exploring Operation: 17+94=111, Resulting Numbers: [62, 98, 111] Generated Node #2: [62, 98, 111] from Operation: 17+94=111 Current State: 49:[62, 98, 111], Operations: ['17+94=111'] Exploring Operation: 62+98=160, Resulting Numbers: [111, 160] Generated Node #3: [111, 160] from Operation: 62+98=160 Current State: 49:[111, 160], Operations: ['17+94=111', '62+98=160'] Exploring Operation: 160-111=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 81, 60, 36, 39 ]
70
[ "81-39=42", "60*42=2520", "2520/36=70" ]
Current State: 70:[81, 60, 36, 39], Operations: [] Exploring Operation: 81-39=42, Resulting Numbers: [60, 36, 42] Generated Node #2: [60, 36, 42] from Operation: 81-39=42 Current State: 70:[60, 36, 42], Operations: ['81-39=42'] Exploring Operation: 60*42=2520, Resulting Numbers: [36, 2520] Generated Node #3: [36, 2520] from Operation: 60*42=2520 Current State: 70:[36, 2520], Operations: ['81-39=42', '60*42=2520'] Exploring Operation: 2520/36=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 18, 96, 35, 2 ]
70
[ "18/2=9", "96-35=61", "9+61=70" ]
Current State: 70:[18, 96, 35, 2], Operations: [] Exploring Operation: 18/2=9, Resulting Numbers: [96, 35, 9] Generated Node #2: [96, 35, 9] from Operation: 18/2=9 Current State: 70:[96, 35, 9], Operations: ['18/2=9'] Exploring Operation: 96-35=61, Resulting Numbers: [9, 61] Generated Node #3: [9, 61] from Operation: 96-35=61 Current State: 70:[9, 61], Operations: ['18/2=9', '96-35=61'] Exploring Operation: 9+61=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 84, 5, 33, 87 ]
55
[ "87-84=3", "5*33=165", "165/3=55" ]
Current State: 55:[84, 5, 33, 87], Operations: [] Exploring Operation: 87-84=3, Resulting Numbers: [5, 33, 3] Generated Node #2: [5, 33, 3] from Operation: 87-84=3 Current State: 55:[5, 33, 3], Operations: ['87-84=3'] Exploring Operation: 5*33=165, Resulting Numbers: [3, 165] Generated Node #3: [3, 165] from Operation: 5*33=165 Current State: 55:[3, 165], Operations: ['87-84=3', '5*33=165'] Exploring Operation: 165/3=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 44, 22, 44, 64 ]
87
[ "44/44=1", "22+64=86", "1+86=87" ]
Current State: 87:[44, 22, 44, 64], Operations: [] Exploring Operation: 44/44=1, Resulting Numbers: [22, 64, 1] Generated Node #2: [22, 64, 1] from Operation: 44/44=1 Current State: 87:[22, 64, 1], Operations: ['44/44=1'] Exploring Operation: 22+64=86, Resulting Numbers: [1, 86] Generated Node #3: [1, 86] from Operation: 22+64=86 Current State: 87:[1, 86], Operations: ['44/44=1', '22+64=86'] Exploring Operation: 1+86=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 30, 60, 78, 85 ]
14
[ "60/30=2", "85-78=7", "2*7=14" ]
Current State: 14:[30, 60, 78, 85], Operations: [] Exploring Operation: 60/30=2, Resulting Numbers: [78, 85, 2] Generated Node #2: [78, 85, 2] from Operation: 60/30=2 Current State: 14:[78, 85, 2], Operations: ['60/30=2'] Exploring Operation: 85-78=7, Resulting Numbers: [2, 7] Generated Node #3: [2, 7] from Operation: 85-78=7 Current State: 14:[2, 7], Operations: ['60/30=2', '85-78=7'] Exploring Operation: 2*7=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 63, 74, 69, 34 ]
92
[ "74-63=11", "69+34=103", "103-11=92" ]
Current State: 92:[63, 74, 69, 34], Operations: [] Exploring Operation: 74-63=11, Resulting Numbers: [69, 34, 11] Generated Node #2: [69, 34, 11] from Operation: 74-63=11 Current State: 92:[69, 34, 11], Operations: ['74-63=11'] Exploring Operation: 69+34=103, Resulting Numbers: [11, 103] Generated Node #3: [11, 103] from Operation: 69+34=103 Current State: 92:[11, 103], Operations: ['74-63=11', '69+34=103'] Exploring Operation: 103-11=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4