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
[ 57, 39, 69, 24 ]
75
[ "57-39=18", "69+24=93", "93-18=75" ]
Current State: 75:[57, 39, 69, 24], Operations: [] Exploring Operation: 57-39=18, Resulting Numbers: [69, 24, 18] Generated Node #2: [69, 24, 18] from Operation: 57-39=18 Current State: 75:[69, 24, 18], Operations: ['57-39=18'] Exploring Operation: 69+24=93, Resulting Numbers: [18, 93] Generated Node #3: [18, 93] from Operation: 69+24=93 Current State: 75:[18, 93], Operations: ['57-39=18', '69+24=93'] Exploring Operation: 93-18=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 60, 18, 99, 29 ]
28
[ "60-18=42", "99-29=70", "70-42=28" ]
Current State: 28:[60, 18, 99, 29], Operations: [] Exploring Operation: 60-18=42, Resulting Numbers: [99, 29, 42] Generated Node #2: [99, 29, 42] from Operation: 60-18=42 Current State: 28:[99, 29, 42], Operations: ['60-18=42'] Exploring Operation: 99-29=70, Resulting Numbers: [42, 70] Generated Node #3: [42, 70] from Operation: 99-29=70 Current State: 28:[42, 70], Operations: ['60-18=42', '99-29=70'] Exploring Operation: 70-42=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 16, 64, 93, 64 ]
25
[ "64/16=4", "93-64=29", "29-4=25" ]
Current State: 25:[16, 64, 93, 64], Operations: [] Exploring Operation: 64/16=4, Resulting Numbers: [93, 4] Generated Node #2: [93, 4] from Operation: 64/16=4 Current State: 25:[93, 4], Operations: ['64/16=4'] Exploring Operation: 93-64=29, Resulting Numbers: [4, 29] Generated Node #3: [4, 29] from Operation: 93-64=29 Current State: 25:[4, 29], Operations: ['64/16=4', '93-64=29'] Exploring Operation: 29-4=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 86, 2, 95, 44 ]
94
[ "86/2=43", "95-44=51", "43+51=94" ]
Current State: 94:[86, 2, 95, 44], Operations: [] Exploring Operation: 86/2=43, Resulting Numbers: [95, 44, 43] Generated Node #2: [95, 44, 43] from Operation: 86/2=43 Current State: 94:[95, 44, 43], Operations: ['86/2=43'] Exploring Operation: 95-44=51, Resulting Numbers: [43, 51] Generated Node #3: [43, 51] from Operation: 95-44=51 Current State: 94:[43, 51], Operations: ['86/2=43', '95-44=51'] Exploring Operation: 43+51=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 99, 31, 58, 26 ]
99
[ "58-31=27", "27-26=1", "99*1=99" ]
Current State: 99:[99, 31, 58, 26], Operations: [] Exploring Operation: 58-31=27, Resulting Numbers: [99, 26, 27] Generated Node #2: [99, 26, 27] from Operation: 58-31=27 Current State: 99:[99, 26, 27], Operations: ['58-31=27'] Exploring Operation: 27-26=1, Resulting Numbers: [99, 1] Generated Node #3: [99, 1] from Operation: 27-26=1 Current State: 99:[99, 1], Operations: ['58-31=27', '27-26=1'] Exploring Operation: 99*1=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 93, 45, 98, 16 ]
95
[ "93-45=48", "48/16=3", "98-3=95" ]
Current State: 95:[93, 45, 98, 16], Operations: [] Exploring Operation: 93-45=48, Resulting Numbers: [98, 16, 48] Generated Node #2: [98, 16, 48] from Operation: 93-45=48 Current State: 95:[98, 16, 48], Operations: ['93-45=48'] Exploring Operation: 48/16=3, Resulting Numbers: [98, 3] Generated Node #3: [98, 3] from Operation: 48/16=3 Current State: 95:[98, 3], Operations: ['93-45=48', '48/16=3'] Exploring Operation: 98-3=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 92, 44, 49, 30 ]
86
[ "49-44=5", "30/5=6", "92-6=86" ]
Current State: 86:[92, 44, 49, 30], Operations: [] Exploring Operation: 49-44=5, Resulting Numbers: [92, 30, 5] Generated Node #2: [92, 30, 5] from Operation: 49-44=5 Current State: 86:[92, 30, 5], Operations: ['49-44=5'] Exploring Operation: 30/5=6, Resulting Numbers: [92, 6] Generated Node #3: [92, 6] from Operation: 30/5=6 Current State: 86:[92, 6], Operations: ['49-44=5', '30/5=6'] Exploring Operation: 92-6=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 58, 34, 48, 11 ]
76
[ "58-48=10", "11*10=110", "110-34=76" ]
Current State: 76:[58, 34, 48, 11], Operations: [] Exploring Operation: 58-48=10, Resulting Numbers: [34, 11, 10] Generated Node #2: [34, 11, 10] from Operation: 58-48=10 Current State: 76:[34, 11, 10], Operations: ['58-48=10'] Exploring Operation: 11*10=110, Resulting Numbers: [34, 110] Generated Node #3: [34, 110] from Operation: 11*10=110 Current State: 76:[34, 110], Operations: ['58-48=10', '11*10=110'] Exploring Operation: 110-34=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 64, 88, 98, 19 ]
93
[ "88-64=24", "98+19=117", "117-24=93" ]
Current State: 93:[64, 88, 98, 19], Operations: [] Exploring Operation: 88-64=24, Resulting Numbers: [98, 19, 24] Generated Node #2: [98, 19, 24] from Operation: 88-64=24 Current State: 93:[98, 19, 24], Operations: ['88-64=24'] Exploring Operation: 98+19=117, Resulting Numbers: [24, 117] Generated Node #3: [24, 117] from Operation: 98+19=117 Current State: 93:[24, 117], Operations: ['88-64=24', '98+19=117'] Exploring Operation: 117-24=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 38, 49, 44, 84 ]
98
[ "38+44=82", "84-82=2", "49*2=98" ]
Current State: 98:[38, 49, 44, 84], Operations: [] Exploring Operation: 38+44=82, Resulting Numbers: [49, 84, 82] Generated Node #2: [49, 84, 82] from Operation: 38+44=82 Current State: 98:[49, 84, 82], Operations: ['38+44=82'] Exploring Operation: 84-82=2, Resulting Numbers: [49, 2] Generated Node #3: [49, 2] from Operation: 84-82=2 Current State: 98:[49, 2], Operations: ['38+44=82', '84-82=2'] Exploring Operation: 49*2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 36, 60, 73, 21 ]
77
[ "36-21=15", "60/15=4", "73+4=77" ]
Current State: 77:[36, 60, 73, 21], Operations: [] Exploring Operation: 36-21=15, Resulting Numbers: [60, 73, 15] Generated Node #2: [60, 73, 15] from Operation: 36-21=15 Current State: 77:[60, 73, 15], Operations: ['36-21=15'] Exploring Operation: 60/15=4, Resulting Numbers: [73, 4] Generated Node #3: [73, 4] from Operation: 60/15=4 Current State: 77:[73, 4], Operations: ['36-21=15', '60/15=4'] Exploring Operation: 73+4=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 50, 31, 18, 49 ]
32
[ "50*31=1550", "18+1550=1568", "1568/49=32" ]
Current State: 32:[50, 31, 18, 49], Operations: [] Exploring Operation: 50*31=1550, Resulting Numbers: [18, 49, 1550] Generated Node #2: [18, 49, 1550] from Operation: 50*31=1550 Current State: 32:[18, 49, 1550], Operations: ['50*31=1550'] Exploring Operation: 18+1550=1568, Resulting Numbers: [49, 1568] Generated Node #3: [49, 1568] from Operation: 18+1550=1568 Current State: 32:[49, 1568], Operations: ['50*31=1550', '18+1550=1568'] Exploring Operation: 1568/49=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 7, 91, 71, 28 ]
86
[ "91/7=13", "71+28=99", "99-13=86" ]
Current State: 86:[7, 91, 71, 28], Operations: [] Exploring Operation: 91/7=13, Resulting Numbers: [71, 28, 13] Generated Node #2: [71, 28, 13] from Operation: 91/7=13 Current State: 86:[71, 28, 13], Operations: ['91/7=13'] Exploring Operation: 71+28=99, Resulting Numbers: [13, 99] Generated Node #3: [13, 99] from Operation: 71+28=99 Current State: 86:[13, 99], Operations: ['91/7=13', '71+28=99'] Exploring Operation: 99-13=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 11, 14, 15, 90 ]
85
[ "14-11=3", "15/3=5", "90-5=85" ]
Current State: 85:[11, 14, 15, 90], Operations: [] Exploring Operation: 14-11=3, Resulting Numbers: [15, 90, 3] Generated Node #2: [15, 90, 3] from Operation: 14-11=3 Current State: 85:[15, 90, 3], Operations: ['14-11=3'] Exploring Operation: 15/3=5, Resulting Numbers: [90, 5] Generated Node #3: [90, 5] from Operation: 15/3=5 Current State: 85:[90, 5], Operations: ['14-11=3', '15/3=5'] Exploring Operation: 90-5=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 52, 95, 32, 26 ]
31
[ "52*32=1664", "1664/26=64", "95-64=31" ]
Current State: 31:[52, 95, 32, 26], Operations: [] Exploring Operation: 52*32=1664, Resulting Numbers: [95, 26, 1664] Generated Node #2: [95, 26, 1664] from Operation: 52*32=1664 Current State: 31:[95, 26, 1664], Operations: ['52*32=1664'] Exploring Operation: 1664/26=64, Resulting Numbers: [95, 64] Generated Node #3: [95, 64] from Operation: 1664/26=64 Current State: 31:[95, 64], Operations: ['52*32=1664', '1664/26=64'] Exploring Operation: 95-64=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 62, 10, 57, 36 ]
31
[ "62-10=52", "57-36=21", "52-21=31" ]
Current State: 31:[62, 10, 57, 36], Operations: [] Exploring Operation: 62-10=52, Resulting Numbers: [57, 36, 52] Generated Node #2: [57, 36, 52] from Operation: 62-10=52 Current State: 31:[57, 36, 52], Operations: ['62-10=52'] Exploring Operation: 57-36=21, Resulting Numbers: [52, 21] Generated Node #3: [52, 21] from Operation: 57-36=21 Current State: 31:[52, 21], Operations: ['62-10=52', '57-36=21'] Exploring Operation: 52-21=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 28, 49, 68, 68 ]
51
[ "49*68=3332", "3332/28=119", "119-68=51" ]
Current State: 51:[28, 49, 68, 68], Operations: [] Exploring Operation: 49*68=3332, Resulting Numbers: [28, 3332] Generated Node #2: [28, 3332] from Operation: 49*68=3332 Current State: 51:[28, 3332], Operations: ['49*68=3332'] Exploring Operation: 3332/28=119, Resulting Numbers: [119] 119,51 equal: Goal Reached Exploring Operation: 119-68=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 49, 87, 36, 33 ]
67
[ "49+87=136", "36+33=69", "136-69=67" ]
Current State: 67:[49, 87, 36, 33], Operations: [] Exploring Operation: 49+87=136, Resulting Numbers: [36, 33, 136] Generated Node #2: [36, 33, 136] from Operation: 49+87=136 Current State: 67:[36, 33, 136], Operations: ['49+87=136'] Exploring Operation: 36+33=69, Resulting Numbers: [136, 69] Generated Node #3: [136, 69] from Operation: 36+33=69 Current State: 67:[136, 69], Operations: ['49+87=136', '36+33=69'] Exploring Operation: 136-69=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 64, 55, 87, 51 ]
19
[ "64+55=119", "87+51=138", "138-119=19" ]
Current State: 19:[64, 55, 87, 51], Operations: [] Exploring Operation: 64+55=119, Resulting Numbers: [87, 51, 119] Generated Node #2: [87, 51, 119] from Operation: 64+55=119 Current State: 19:[87, 51, 119], Operations: ['64+55=119'] Exploring Operation: 87+51=138, Resulting Numbers: [119, 138] Generated Node #3: [119, 138] from Operation: 87+51=138 Current State: 19:[119, 138], Operations: ['64+55=119', '87+51=138'] Exploring Operation: 138-119=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 16, 92, 48, 14 ]
94
[ "16-14=2", "92/2=46", "48+46=94" ]
Current State: 94:[16, 92, 48, 14], Operations: [] Exploring Operation: 16-14=2, Resulting Numbers: [92, 48, 2] Generated Node #2: [92, 48, 2] from Operation: 16-14=2 Current State: 94:[92, 48, 2], Operations: ['16-14=2'] Exploring Operation: 92/2=46, Resulting Numbers: [48, 46] Generated Node #3: [48, 46] from Operation: 92/2=46 Current State: 94:[48, 46], Operations: ['16-14=2', '92/2=46'] Exploring Operation: 48+46=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 24, 93, 93, 81 ]
95
[ "93-81=12", "24/12=2", "93+2=95" ]
Current State: 95:[24, 93, 93, 81], Operations: [] Exploring Operation: 93-81=12, Resulting Numbers: [24, 12] Generated Node #2: [24, 12] from Operation: 93-81=12 Current State: 95:[24, 12], Operations: ['93-81=12'] Exploring Operation: 24/12=2, Resulting Numbers: [2] 2,95 equal: Goal Reached Exploring Operation: 93+2=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 58, 25, 83, 84 ]
82
[ "58+25=83", "84-83=1", "83-1=82" ]
Current State: 82:[58, 25, 83, 84], Operations: [] Exploring Operation: 58+25=83, Resulting Numbers: [83, 84, 83] Generated Node #2: [83, 84, 83] from Operation: 58+25=83 Current State: 82:[83, 84, 83], Operations: ['58+25=83'] Exploring Operation: 84-83=1, Resulting Numbers: [1] 1,82 equal: Goal Reached Exploring Operation: 83-1=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 51, 77, 71, 32 ]
65
[ "77-51=26", "71-32=39", "26+39=65" ]
Current State: 65:[51, 77, 71, 32], Operations: [] Exploring Operation: 77-51=26, Resulting Numbers: [71, 32, 26] Generated Node #2: [71, 32, 26] from Operation: 77-51=26 Current State: 65:[71, 32, 26], Operations: ['77-51=26'] Exploring Operation: 71-32=39, Resulting Numbers: [26, 39] Generated Node #3: [26, 39] from Operation: 71-32=39 Current State: 65:[26, 39], Operations: ['77-51=26', '71-32=39'] Exploring Operation: 26+39=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 7, 17, 86, 19 ]
81
[ "7+17=24", "86+19=105", "105-24=81" ]
Current State: 81:[7, 17, 86, 19], Operations: [] Exploring Operation: 7+17=24, Resulting Numbers: [86, 19, 24] Generated Node #2: [86, 19, 24] from Operation: 7+17=24 Current State: 81:[86, 19, 24], Operations: ['7+17=24'] Exploring Operation: 86+19=105, Resulting Numbers: [24, 105] Generated Node #3: [24, 105] from Operation: 86+19=105 Current State: 81:[24, 105], Operations: ['7+17=24', '86+19=105'] Exploring Operation: 105-24=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 22, 12, 10, 5 ]
60
[ "22-12=10", "10*5=50", "10+50=60" ]
Current State: 60:[22, 12, 10, 5], Operations: [] Exploring Operation: 22-12=10, Resulting Numbers: [10, 5, 10] Generated Node #2: [10, 5, 10] from Operation: 22-12=10 Current State: 60:[10, 5, 10], Operations: ['22-12=10'] Exploring Operation: 10*5=50, Resulting Numbers: [50] 50,60 equal: Goal Reached Exploring Operation: 10+50=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 80, 46, 58, 42 ]
61
[ "80+46=126", "126/42=3", "58+3=61" ]
Current State: 61:[80, 46, 58, 42], Operations: [] Exploring Operation: 80+46=126, Resulting Numbers: [58, 42, 126] Generated Node #2: [58, 42, 126] from Operation: 80+46=126 Current State: 61:[58, 42, 126], Operations: ['80+46=126'] Exploring Operation: 126/42=3, Resulting Numbers: [58, 3] Generated Node #3: [58, 3] from Operation: 126/42=3 Current State: 61:[58, 3], Operations: ['80+46=126', '126/42=3'] Exploring Operation: 58+3=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 73, 29, 36, 34 ]
33
[ "73+29=102", "102/34=3", "36-3=33" ]
Current State: 33:[73, 29, 36, 34], Operations: [] Exploring Operation: 73+29=102, Resulting Numbers: [36, 34, 102] Generated Node #2: [36, 34, 102] from Operation: 73+29=102 Current State: 33:[36, 34, 102], Operations: ['73+29=102'] Exploring Operation: 102/34=3, Resulting Numbers: [36, 3] Generated Node #3: [36, 3] from Operation: 102/34=3 Current State: 33:[36, 3], Operations: ['73+29=102', '102/34=3'] Exploring Operation: 36-3=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 71, 9, 56, 52 ]
46
[ "71-9=62", "56+52=108", "108-62=46" ]
Current State: 46:[71, 9, 56, 52], Operations: [] Exploring Operation: 71-9=62, Resulting Numbers: [56, 52, 62] Generated Node #2: [56, 52, 62] from Operation: 71-9=62 Current State: 46:[56, 52, 62], Operations: ['71-9=62'] Exploring Operation: 56+52=108, Resulting Numbers: [62, 108] Generated Node #3: [62, 108] from Operation: 56+52=108 Current State: 46:[62, 108], Operations: ['71-9=62', '56+52=108'] Exploring Operation: 108-62=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 20, 4, 20, 54 ]
44
[ "20+20=40", "40/4=10", "54-10=44" ]
Current State: 44:[20, 4, 20, 54], Operations: [] Exploring Operation: 20+20=40, Resulting Numbers: [4, 54, 40] Generated Node #2: [4, 54, 40] from Operation: 20+20=40 Current State: 44:[4, 54, 40], Operations: ['20+20=40'] Exploring Operation: 40/4=10, Resulting Numbers: [54, 10] Generated Node #3: [54, 10] from Operation: 40/4=10 Current State: 44:[54, 10], Operations: ['20+20=40', '40/4=10'] Exploring Operation: 54-10=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 28, 24, 78, 32 ]
70
[ "28-24=4", "32/4=8", "78-8=70" ]
Current State: 70:[28, 24, 78, 32], Operations: [] Exploring Operation: 28-24=4, Resulting Numbers: [78, 32, 4] Generated Node #2: [78, 32, 4] from Operation: 28-24=4 Current State: 70:[78, 32, 4], Operations: ['28-24=4'] Exploring Operation: 32/4=8, Resulting Numbers: [78, 8] Generated Node #3: [78, 8] from Operation: 32/4=8 Current State: 70:[78, 8], Operations: ['28-24=4', '32/4=8'] Exploring Operation: 78-8=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 8, 10, 46, 14 ]
42
[ "8+10=18", "46+14=60", "60-18=42" ]
Current State: 42:[8, 10, 46, 14], Operations: [] Exploring Operation: 8+10=18, Resulting Numbers: [46, 14, 18] Generated Node #2: [46, 14, 18] from Operation: 8+10=18 Current State: 42:[46, 14, 18], Operations: ['8+10=18'] Exploring Operation: 46+14=60, Resulting Numbers: [18, 60] Generated Node #3: [18, 60] from Operation: 46+14=60 Current State: 42:[18, 60], Operations: ['8+10=18', '46+14=60'] Exploring Operation: 60-18=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 32, 10, 89, 12 ]
87
[ "32-12=20", "20/10=2", "89-2=87" ]
Current State: 87:[32, 10, 89, 12], Operations: [] Exploring Operation: 32-12=20, Resulting Numbers: [10, 89, 20] Generated Node #2: [10, 89, 20] from Operation: 32-12=20 Current State: 87:[10, 89, 20], Operations: ['32-12=20'] Exploring Operation: 20/10=2, Resulting Numbers: [89, 2] Generated Node #3: [89, 2] from Operation: 20/10=2 Current State: 87:[89, 2], Operations: ['32-12=20', '20/10=2'] Exploring Operation: 89-2=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 6, 66, 94, 14 ]
76
[ "6*14=84", "66+94=160", "160-84=76" ]
Current State: 76:[6, 66, 94, 14], Operations: [] Exploring Operation: 6*14=84, Resulting Numbers: [66, 94, 84] Generated Node #2: [66, 94, 84] from Operation: 6*14=84 Current State: 76:[66, 94, 84], Operations: ['6*14=84'] Exploring Operation: 66+94=160, Resulting Numbers: [84, 160] Generated Node #3: [84, 160] from Operation: 66+94=160 Current State: 76:[84, 160], Operations: ['6*14=84', '66+94=160'] Exploring Operation: 160-84=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 14, 52, 24, 46 ]
56
[ "14*24=336", "52-46=6", "336/6=56" ]
Current State: 56:[14, 52, 24, 46], Operations: [] Exploring Operation: 14*24=336, Resulting Numbers: [52, 46, 336] Generated Node #2: [52, 46, 336] from Operation: 14*24=336 Current State: 56:[52, 46, 336], Operations: ['14*24=336'] Exploring Operation: 52-46=6, Resulting Numbers: [336, 6] Generated Node #3: [336, 6] from Operation: 52-46=6 Current State: 56:[336, 6], Operations: ['14*24=336', '52-46=6'] Exploring Operation: 336/6=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 5, 12, 47, 15 ]
25
[ "12-5=7", "47-15=32", "32-7=25" ]
Current State: 25:[5, 12, 47, 15], Operations: [] Exploring Operation: 12-5=7, Resulting Numbers: [47, 15, 7] Generated Node #2: [47, 15, 7] from Operation: 12-5=7 Current State: 25:[47, 15, 7], Operations: ['12-5=7'] Exploring Operation: 47-15=32, Resulting Numbers: [7, 32] Generated Node #3: [7, 32] from Operation: 47-15=32 Current State: 25:[7, 32], Operations: ['12-5=7', '47-15=32'] Exploring Operation: 32-7=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 86, 5, 73, 19 ]
37
[ "86+5=91", "73-19=54", "91-54=37" ]
Current State: 37:[86, 5, 73, 19], Operations: [] Exploring Operation: 86+5=91, Resulting Numbers: [73, 19, 91] Generated Node #2: [73, 19, 91] from Operation: 86+5=91 Current State: 37:[73, 19, 91], Operations: ['86+5=91'] Exploring Operation: 73-19=54, Resulting Numbers: [91, 54] Generated Node #3: [91, 54] from Operation: 73-19=54 Current State: 37:[91, 54], Operations: ['86+5=91', '73-19=54'] Exploring Operation: 91-54=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 41, 3, 69, 39 ]
46
[ "41-39=2", "69/3=23", "2*23=46" ]
Current State: 46:[41, 3, 69, 39], Operations: [] Exploring Operation: 41-39=2, Resulting Numbers: [3, 69, 2] Generated Node #2: [3, 69, 2] from Operation: 41-39=2 Current State: 46:[3, 69, 2], Operations: ['41-39=2'] Exploring Operation: 69/3=23, Resulting Numbers: [2, 23] Generated Node #3: [2, 23] from Operation: 69/3=23 Current State: 46:[2, 23], Operations: ['41-39=2', '69/3=23'] Exploring Operation: 2*23=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 5, 90, 7, 95 ]
18
[ "95-90=5", "5*5=25", "25-7=18" ]
Current State: 18:[5, 90, 7, 95], Operations: [] Exploring Operation: 95-90=5, Resulting Numbers: [5, 7, 5] Generated Node #2: [5, 7, 5] from Operation: 95-90=5 Current State: 18:[5, 7, 5], Operations: ['95-90=5'] Exploring Operation: 5*5=25, Resulting Numbers: [7, 25] Generated Node #3: [7, 25] from Operation: 5*5=25 Current State: 18:[7, 25], Operations: ['95-90=5', '5*5=25'] Exploring Operation: 25-7=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 6, 81, 73, 78 ]
81
[ "6+73=79", "79-78=1", "81*1=81" ]
Current State: 81:[6, 81, 73, 78], Operations: [] Exploring Operation: 6+73=79, Resulting Numbers: [81, 78, 79] Generated Node #2: [81, 78, 79] from Operation: 6+73=79 Current State: 81:[81, 78, 79], Operations: ['6+73=79'] Exploring Operation: 79-78=1, Resulting Numbers: [81, 1] Generated Node #3: [81, 1] from Operation: 79-78=1 Current State: 81:[81, 1], Operations: ['6+73=79', '79-78=1'] Exploring Operation: 81*1=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 66, 41, 2, 30 ]
89
[ "66+30=96", "96/2=48", "41+48=89" ]
Current State: 89:[66, 41, 2, 30], Operations: [] Exploring Operation: 66+30=96, Resulting Numbers: [41, 2, 96] Generated Node #2: [41, 2, 96] from Operation: 66+30=96 Current State: 89:[41, 2, 96], Operations: ['66+30=96'] Exploring Operation: 96/2=48, Resulting Numbers: [41, 48] Generated Node #3: [41, 48] from Operation: 96/2=48 Current State: 89:[41, 48], Operations: ['66+30=96', '96/2=48'] Exploring Operation: 41+48=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 35, 42, 70, 56 ]
63
[ "35+42=77", "70-56=14", "77-14=63" ]
Current State: 63:[35, 42, 70, 56], Operations: [] Exploring Operation: 35+42=77, Resulting Numbers: [70, 56, 77] Generated Node #2: [70, 56, 77] from Operation: 35+42=77 Current State: 63:[70, 56, 77], Operations: ['35+42=77'] Exploring Operation: 70-56=14, Resulting Numbers: [77, 14] Generated Node #3: [77, 14] from Operation: 70-56=14 Current State: 63:[77, 14], Operations: ['35+42=77', '70-56=14'] Exploring Operation: 77-14=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 62, 11, 22, 83 ]
41
[ "62*22=1364", "1364/11=124", "124-83=41" ]
Current State: 41:[62, 11, 22, 83], Operations: [] Exploring Operation: 62*22=1364, Resulting Numbers: [11, 83, 1364] Generated Node #2: [11, 83, 1364] from Operation: 62*22=1364 Current State: 41:[11, 83, 1364], Operations: ['62*22=1364'] Exploring Operation: 1364/11=124, Resulting Numbers: [83, 124] Generated Node #3: [83, 124] from Operation: 1364/11=124 Current State: 41:[83, 124], Operations: ['62*22=1364', '1364/11=124'] Exploring Operation: 124-83=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 12, 55, 67, 53 ]
43
[ "55-53=2", "12*2=24", "67-24=43" ]
Current State: 43:[12, 55, 67, 53], Operations: [] Exploring Operation: 55-53=2, Resulting Numbers: [12, 67, 2] Generated Node #2: [12, 67, 2] from Operation: 55-53=2 Current State: 43:[12, 67, 2], Operations: ['55-53=2'] Exploring Operation: 12*2=24, Resulting Numbers: [67, 24] Generated Node #3: [67, 24] from Operation: 12*2=24 Current State: 43:[67, 24], Operations: ['55-53=2', '12*2=24'] Exploring Operation: 67-24=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 56, 67, 45, 31 ]
71
[ "45-31=14", "56/14=4", "67+4=71" ]
Current State: 71:[56, 67, 45, 31], Operations: [] Exploring Operation: 45-31=14, Resulting Numbers: [56, 67, 14] Generated Node #2: [56, 67, 14] from Operation: 45-31=14 Current State: 71:[56, 67, 14], Operations: ['45-31=14'] Exploring Operation: 56/14=4, Resulting Numbers: [67, 4] Generated Node #3: [67, 4] from Operation: 56/14=4 Current State: 71:[67, 4], Operations: ['45-31=14', '56/14=4'] Exploring Operation: 67+4=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 45, 18, 30, 48 ]
72
[ "48-45=3", "30*3=90", "90-18=72" ]
Current State: 72:[45, 18, 30, 48], Operations: [] Exploring Operation: 48-45=3, Resulting Numbers: [18, 30, 3] Generated Node #2: [18, 30, 3] from Operation: 48-45=3 Current State: 72:[18, 30, 3], Operations: ['48-45=3'] Exploring Operation: 30*3=90, Resulting Numbers: [18, 90] Generated Node #3: [18, 90] from Operation: 30*3=90 Current State: 72:[18, 90], Operations: ['48-45=3', '30*3=90'] Exploring Operation: 90-18=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 97, 77, 2, 53 ]
13
[ "97-77=20", "2*20=40", "53-40=13" ]
Current State: 13:[97, 77, 2, 53], Operations: [] Exploring Operation: 97-77=20, Resulting Numbers: [2, 53, 20] Generated Node #2: [2, 53, 20] from Operation: 97-77=20 Current State: 13:[2, 53, 20], Operations: ['97-77=20'] Exploring Operation: 2*20=40, Resulting Numbers: [53, 40] Generated Node #3: [53, 40] from Operation: 2*20=40 Current State: 13:[53, 40], Operations: ['97-77=20', '2*20=40'] Exploring Operation: 53-40=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 70, 60, 80, 90 ]
40
[ "70+60=130", "80+90=170", "170-130=40" ]
Current State: 40:[70, 60, 80, 90], Operations: [] Exploring Operation: 70+60=130, Resulting Numbers: [80, 90, 130] Generated Node #2: [80, 90, 130] from Operation: 70+60=130 Current State: 40:[80, 90, 130], Operations: ['70+60=130'] Exploring Operation: 80+90=170, Resulting Numbers: [130, 170] Generated Node #3: [130, 170] from Operation: 80+90=170 Current State: 40:[130, 170], Operations: ['70+60=130', '80+90=170'] Exploring Operation: 170-130=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 80, 93, 73, 83 ]
70
[ "80-73=7", "93-83=10", "7*10=70" ]
Current State: 70:[80, 93, 73, 83], Operations: [] Exploring Operation: 80-73=7, Resulting Numbers: [93, 83, 7] Generated Node #2: [93, 83, 7] from Operation: 80-73=7 Current State: 70:[93, 83, 7], Operations: ['80-73=7'] Exploring Operation: 93-83=10, Resulting Numbers: [7, 10] Generated Node #3: [7, 10] from Operation: 93-83=10 Current State: 70:[7, 10], Operations: ['80-73=7', '93-83=10'] Exploring Operation: 7*10=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 29, 56, 94, 53 ]
44
[ "29+56=85", "94-53=41", "85-41=44" ]
Current State: 44:[29, 56, 94, 53], Operations: [] Exploring Operation: 29+56=85, Resulting Numbers: [94, 53, 85] Generated Node #2: [94, 53, 85] from Operation: 29+56=85 Current State: 44:[94, 53, 85], Operations: ['29+56=85'] Exploring Operation: 94-53=41, Resulting Numbers: [85, 41] Generated Node #3: [85, 41] from Operation: 94-53=41 Current State: 44:[85, 41], Operations: ['29+56=85', '94-53=41'] Exploring Operation: 85-41=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 71, 32, 65, 49 ]
55
[ "71-32=39", "65-49=16", "39+16=55" ]
Current State: 55:[71, 32, 65, 49], Operations: [] Exploring Operation: 71-32=39, Resulting Numbers: [65, 49, 39] Generated Node #2: [65, 49, 39] from Operation: 71-32=39 Current State: 55:[65, 49, 39], Operations: ['71-32=39'] Exploring Operation: 65-49=16, Resulting Numbers: [39, 16] Generated Node #3: [39, 16] from Operation: 65-49=16 Current State: 55:[39, 16], Operations: ['71-32=39', '65-49=16'] Exploring Operation: 39+16=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 45, 5, 73, 26 ]
48
[ "5+73=78", "78/26=3", "45+3=48" ]
Current State: 48:[45, 5, 73, 26], Operations: [] Exploring Operation: 5+73=78, Resulting Numbers: [45, 26, 78] Generated Node #2: [45, 26, 78] from Operation: 5+73=78 Current State: 48:[45, 26, 78], Operations: ['5+73=78'] Exploring Operation: 78/26=3, Resulting Numbers: [45, 3] Generated Node #3: [45, 3] from Operation: 78/26=3 Current State: 48:[45, 3], Operations: ['5+73=78', '78/26=3'] Exploring Operation: 45+3=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 30, 13, 83, 69 ]
57
[ "30+13=43", "83-69=14", "43+14=57" ]
Current State: 57:[30, 13, 83, 69], Operations: [] Exploring Operation: 30+13=43, Resulting Numbers: [83, 69, 43] Generated Node #2: [83, 69, 43] from Operation: 30+13=43 Current State: 57:[83, 69, 43], Operations: ['30+13=43'] Exploring Operation: 83-69=14, Resulting Numbers: [43, 14] Generated Node #3: [43, 14] from Operation: 83-69=14 Current State: 57:[43, 14], Operations: ['30+13=43', '83-69=14'] Exploring Operation: 43+14=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 16, 93, 7, 37 ]
43
[ "93*7=651", "37+651=688", "688/16=43" ]
Current State: 43:[16, 93, 7, 37], Operations: [] Exploring Operation: 93*7=651, Resulting Numbers: [16, 37, 651] Generated Node #2: [16, 37, 651] from Operation: 93*7=651 Current State: 43:[16, 37, 651], Operations: ['93*7=651'] Exploring Operation: 37+651=688, Resulting Numbers: [16, 688] Generated Node #3: [16, 688] from Operation: 37+651=688 Current State: 43:[16, 688], Operations: ['93*7=651', '37+651=688'] Exploring Operation: 688/16=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 23, 99, 75, 73 ]
61
[ "23+99=122", "75-73=2", "122/2=61" ]
Current State: 61:[23, 99, 75, 73], Operations: [] Exploring Operation: 23+99=122, Resulting Numbers: [75, 73, 122] Generated Node #2: [75, 73, 122] from Operation: 23+99=122 Current State: 61:[75, 73, 122], Operations: ['23+99=122'] Exploring Operation: 75-73=2, Resulting Numbers: [122, 2] Generated Node #3: [122, 2] from Operation: 75-73=2 Current State: 61:[122, 2], Operations: ['23+99=122', '75-73=2'] Exploring Operation: 122/2=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 86, 75, 30, 26 ]
21
[ "75*26=1950", "1950/30=65", "86-65=21" ]
Current State: 21:[86, 75, 30, 26], Operations: [] Exploring Operation: 75*26=1950, Resulting Numbers: [86, 30, 1950] Generated Node #2: [86, 30, 1950] from Operation: 75*26=1950 Current State: 21:[86, 30, 1950], Operations: ['75*26=1950'] Exploring Operation: 1950/30=65, Resulting Numbers: [86, 65] Generated Node #3: [86, 65] from Operation: 1950/30=65 Current State: 21:[86, 65], Operations: ['75*26=1950', '1950/30=65'] Exploring Operation: 86-65=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 51, 25, 50, 70 ]
46
[ "51-25=26", "70-50=20", "26+20=46" ]
Current State: 46:[51, 25, 50, 70], Operations: [] Exploring Operation: 51-25=26, Resulting Numbers: [50, 70, 26] Generated Node #2: [50, 70, 26] from Operation: 51-25=26 Current State: 46:[50, 70, 26], Operations: ['51-25=26'] Exploring Operation: 70-50=20, Resulting Numbers: [26, 20] Generated Node #3: [26, 20] from Operation: 70-50=20 Current State: 46:[26, 20], Operations: ['51-25=26', '70-50=20'] Exploring Operation: 26+20=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 97, 98, 63, 18 ]
69
[ "98*18=1764", "1764/63=28", "97-28=69" ]
Current State: 69:[97, 98, 63, 18], Operations: [] Exploring Operation: 98*18=1764, Resulting Numbers: [97, 63, 1764] Generated Node #2: [97, 63, 1764] from Operation: 98*18=1764 Current State: 69:[97, 63, 1764], Operations: ['98*18=1764'] Exploring Operation: 1764/63=28, Resulting Numbers: [97, 28] Generated Node #3: [97, 28] from Operation: 1764/63=28 Current State: 69:[97, 28], Operations: ['98*18=1764', '1764/63=28'] Exploring Operation: 97-28=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 2, 73, 4, 58 ]
48
[ "58/2=29", "73+4=77", "77-29=48" ]
Current State: 48:[2, 73, 4, 58], Operations: [] Exploring Operation: 58/2=29, Resulting Numbers: [73, 4, 29] Generated Node #2: [73, 4, 29] from Operation: 58/2=29 Current State: 48:[73, 4, 29], Operations: ['58/2=29'] Exploring Operation: 73+4=77, Resulting Numbers: [29, 77] Generated Node #3: [29, 77] from Operation: 73+4=77 Current State: 48:[29, 77], Operations: ['58/2=29', '73+4=77'] Exploring Operation: 77-29=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 57, 79, 99, 57 ]
94
[ "57+79=136", "99-57=42", "136-42=94" ]
Current State: 94:[57, 79, 99, 57], Operations: [] Exploring Operation: 57+79=136, Resulting Numbers: [99, 136] Generated Node #2: [99, 136] from Operation: 57+79=136 Current State: 94:[99, 136], Operations: ['57+79=136'] Exploring Operation: 99-57=42, Resulting Numbers: [136, 42] Generated Node #3: [136, 42] from Operation: 99-57=42 Current State: 94:[136, 42], Operations: ['57+79=136', '99-57=42'] Exploring Operation: 136-42=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 10, 46, 18, 58 ]
36
[ "10+46=56", "58-56=2", "18*2=36" ]
Current State: 36:[10, 46, 18, 58], Operations: [] Exploring Operation: 10+46=56, Resulting Numbers: [18, 58, 56] Generated Node #2: [18, 58, 56] from Operation: 10+46=56 Current State: 36:[18, 58, 56], Operations: ['10+46=56'] Exploring Operation: 58-56=2, Resulting Numbers: [18, 2] Generated Node #3: [18, 2] from Operation: 58-56=2 Current State: 36:[18, 2], Operations: ['10+46=56', '58-56=2'] Exploring Operation: 18*2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 24, 68, 74, 12 ]
31
[ "24/12=2", "74/2=37", "68-37=31" ]
Current State: 31:[24, 68, 74, 12], Operations: [] Exploring Operation: 24/12=2, Resulting Numbers: [68, 74, 2] Generated Node #2: [68, 74, 2] from Operation: 24/12=2 Current State: 31:[68, 74, 2], Operations: ['24/12=2'] Exploring Operation: 74/2=37, Resulting Numbers: [68, 37] Generated Node #3: [68, 37] from Operation: 74/2=37 Current State: 31:[68, 37], Operations: ['24/12=2', '74/2=37'] Exploring Operation: 68-37=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 42, 5, 46, 44 ]
39
[ "42-5=37", "46-44=2", "37+2=39" ]
Current State: 39:[42, 5, 46, 44], Operations: [] Exploring Operation: 42-5=37, Resulting Numbers: [46, 44, 37] Generated Node #2: [46, 44, 37] from Operation: 42-5=37 Current State: 39:[46, 44, 37], Operations: ['42-5=37'] Exploring Operation: 46-44=2, Resulting Numbers: [37, 2] Generated Node #3: [37, 2] from Operation: 46-44=2 Current State: 39:[37, 2], Operations: ['42-5=37', '46-44=2'] Exploring Operation: 37+2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 48, 8, 36, 8 ]
96
[ "48*8=384", "36*8=288", "384-288=96" ]
Current State: 96:[48, 8, 36, 8], Operations: [] Exploring Operation: 48*8=384, Resulting Numbers: [36, 384] Generated Node #2: [36, 384] from Operation: 48*8=384 Current State: 96:[36, 384], Operations: ['48*8=384'] Exploring Operation: 36*8=288, Resulting Numbers: [384, 288] Generated Node #3: [384, 288] from Operation: 36*8=288 Current State: 96:[384, 288], Operations: ['48*8=384', '36*8=288'] Exploring Operation: 384-288=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 84, 42, 86, 9 ]
79
[ "84/42=2", "86-9=77", "2+77=79" ]
Current State: 79:[84, 42, 86, 9], Operations: [] Exploring Operation: 84/42=2, Resulting Numbers: [86, 9, 2] Generated Node #2: [86, 9, 2] from Operation: 84/42=2 Current State: 79:[86, 9, 2], Operations: ['84/42=2'] Exploring Operation: 86-9=77, Resulting Numbers: [2, 77] Generated Node #3: [2, 77] from Operation: 86-9=77 Current State: 79:[2, 77], Operations: ['84/42=2', '86-9=77'] Exploring Operation: 2+77=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 4, 1, 91, 67 ]
96
[ "4*1=4", "91-67=24", "4*24=96" ]
Current State: 96:[4, 1, 91, 67], Operations: [] Exploring Operation: 4*1=4, Resulting Numbers: [91, 67, 4] Generated Node #2: [91, 67, 4] from Operation: 4*1=4 Current State: 96:[91, 67, 4], Operations: ['4*1=4'] Exploring Operation: 91-67=24, Resulting Numbers: [4, 24] Generated Node #3: [4, 24] from Operation: 91-67=24 Current State: 96:[4, 24], Operations: ['4*1=4', '91-67=24'] Exploring Operation: 4*24=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 48, 79, 59, 55 ]
74
[ "59-48=11", "55/11=5", "79-5=74" ]
Current State: 74:[48, 79, 59, 55], Operations: [] Exploring Operation: 59-48=11, Resulting Numbers: [79, 55, 11] Generated Node #2: [79, 55, 11] from Operation: 59-48=11 Current State: 74:[79, 55, 11], Operations: ['59-48=11'] Exploring Operation: 55/11=5, Resulting Numbers: [79, 5] Generated Node #3: [79, 5] from Operation: 55/11=5 Current State: 74:[79, 5], Operations: ['59-48=11', '55/11=5'] Exploring Operation: 79-5=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 71, 79, 60, 49 ]
73
[ "79-49=30", "60/30=2", "71+2=73" ]
Current State: 73:[71, 79, 60, 49], Operations: [] Exploring Operation: 79-49=30, Resulting Numbers: [71, 60, 30] Generated Node #2: [71, 60, 30] from Operation: 79-49=30 Current State: 73:[71, 60, 30], Operations: ['79-49=30'] Exploring Operation: 60/30=2, Resulting Numbers: [71, 2] Generated Node #3: [71, 2] from Operation: 60/30=2 Current State: 73:[71, 2], Operations: ['79-49=30', '60/30=2'] Exploring Operation: 71+2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 93, 50, 50, 27 ]
20
[ "93-50=43", "50-27=23", "43-23=20" ]
Current State: 20:[93, 50, 50, 27], Operations: [] Exploring Operation: 93-50=43, Resulting Numbers: [27, 43] Generated Node #2: [27, 43] from Operation: 93-50=43 Current State: 20:[27, 43], Operations: ['93-50=43'] Exploring Operation: 50-27=23, Resulting Numbers: [43, 23] Generated Node #3: [43, 23] from Operation: 50-27=23 Current State: 20:[43, 23], Operations: ['93-50=43', '50-27=23'] Exploring Operation: 43-23=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 47, 36, 12, 83 ]
39
[ "83-47=36", "36/12=3", "36+3=39" ]
Current State: 39:[47, 36, 12, 83], Operations: [] Exploring Operation: 83-47=36, Resulting Numbers: [36, 12, 36] Generated Node #2: [36, 12, 36] from Operation: 83-47=36 Current State: 39:[36, 12, 36], Operations: ['83-47=36'] Exploring Operation: 36/12=3, Resulting Numbers: [3] 3,39 equal: Goal Reached Exploring Operation: 36+3=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 36, 43, 19, 41 ]
34
[ "36-19=17", "43-41=2", "17*2=34" ]
Current State: 34:[36, 43, 19, 41], Operations: [] Exploring Operation: 36-19=17, Resulting Numbers: [43, 41, 17] Generated Node #2: [43, 41, 17] from Operation: 36-19=17 Current State: 34:[43, 41, 17], Operations: ['36-19=17'] Exploring Operation: 43-41=2, Resulting Numbers: [17, 2] Generated Node #3: [17, 2] from Operation: 43-41=2 Current State: 34:[17, 2], Operations: ['36-19=17', '43-41=2'] Exploring Operation: 17*2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 68, 89, 69, 17 ]
72
[ "69-68=1", "89-17=72", "1*72=72" ]
Current State: 72:[68, 89, 69, 17], Operations: [] Exploring Operation: 69-68=1, Resulting Numbers: [89, 17, 1] Generated Node #2: [89, 17, 1] from Operation: 69-68=1 Current State: 72:[89, 17, 1], Operations: ['69-68=1'] Exploring Operation: 89-17=72, Resulting Numbers: [1, 72] Generated Node #3: [1, 72] from Operation: 89-17=72 Current State: 72:[1, 72], Operations: ['69-68=1', '89-17=72'] Exploring Operation: 1*72=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 48, 29, 15, 50 ]
73
[ "50-48=2", "29*2=58", "15+58=73" ]
Current State: 73:[48, 29, 15, 50], Operations: [] Exploring Operation: 50-48=2, Resulting Numbers: [29, 15, 2] Generated Node #2: [29, 15, 2] from Operation: 50-48=2 Current State: 73:[29, 15, 2], Operations: ['50-48=2'] Exploring Operation: 29*2=58, Resulting Numbers: [15, 58] Generated Node #3: [15, 58] from Operation: 29*2=58 Current State: 73:[15, 58], Operations: ['50-48=2', '29*2=58'] Exploring Operation: 15+58=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 84, 5, 64, 80 ]
55
[ "84+5=89", "64+80=144", "144-89=55" ]
Current State: 55:[84, 5, 64, 80], Operations: [] Exploring Operation: 84+5=89, Resulting Numbers: [64, 80, 89] Generated Node #2: [64, 80, 89] from Operation: 84+5=89 Current State: 55:[64, 80, 89], Operations: ['84+5=89'] Exploring Operation: 64+80=144, Resulting Numbers: [89, 144] Generated Node #3: [89, 144] from Operation: 64+80=144 Current State: 55:[89, 144], Operations: ['84+5=89', '64+80=144'] Exploring Operation: 144-89=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 27, 93, 97, 66 ]
42
[ "97-93=4", "27*4=108", "108-66=42" ]
Current State: 42:[27, 93, 97, 66], Operations: [] Exploring Operation: 97-93=4, Resulting Numbers: [27, 66, 4] Generated Node #2: [27, 66, 4] from Operation: 97-93=4 Current State: 42:[27, 66, 4], Operations: ['97-93=4'] Exploring Operation: 27*4=108, Resulting Numbers: [66, 108] Generated Node #3: [66, 108] from Operation: 27*4=108 Current State: 42:[66, 108], Operations: ['97-93=4', '27*4=108'] Exploring Operation: 108-66=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 96, 48, 41, 44 ]
87
[ "96/48=2", "41+44=85", "2+85=87" ]
Current State: 87:[96, 48, 41, 44], Operations: [] Exploring Operation: 96/48=2, Resulting Numbers: [41, 44, 2] Generated Node #2: [41, 44, 2] from Operation: 96/48=2 Current State: 87:[41, 44, 2], Operations: ['96/48=2'] Exploring Operation: 41+44=85, Resulting Numbers: [2, 85] Generated Node #3: [2, 85] from Operation: 41+44=85 Current State: 87:[2, 85], Operations: ['96/48=2', '41+44=85'] Exploring Operation: 2+85=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 54, 81, 85, 92 ]
77
[ "85-81=4", "92/4=23", "54+23=77" ]
Current State: 77:[54, 81, 85, 92], Operations: [] Exploring Operation: 85-81=4, Resulting Numbers: [54, 92, 4] Generated Node #2: [54, 92, 4] from Operation: 85-81=4 Current State: 77:[54, 92, 4], Operations: ['85-81=4'] Exploring Operation: 92/4=23, Resulting Numbers: [54, 23] Generated Node #3: [54, 23] from Operation: 92/4=23 Current State: 77:[54, 23], Operations: ['85-81=4', '92/4=23'] Exploring Operation: 54+23=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 40, 54, 91, 70 ]
86
[ "54-40=14", "70/14=5", "91-5=86" ]
Current State: 86:[40, 54, 91, 70], Operations: [] Exploring Operation: 54-40=14, Resulting Numbers: [91, 70, 14] Generated Node #2: [91, 70, 14] from Operation: 54-40=14 Current State: 86:[91, 70, 14], Operations: ['54-40=14'] Exploring Operation: 70/14=5, Resulting Numbers: [91, 5] Generated Node #3: [91, 5] from Operation: 70/14=5 Current State: 86:[91, 5], Operations: ['54-40=14', '70/14=5'] Exploring Operation: 91-5=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 52, 34, 38, 77 ]
100
[ "77-52=25", "38-34=4", "25*4=100" ]
Current State: 100:[52, 34, 38, 77], Operations: [] Exploring Operation: 77-52=25, Resulting Numbers: [34, 38, 25] Generated Node #2: [34, 38, 25] from Operation: 77-52=25 Current State: 100:[34, 38, 25], Operations: ['77-52=25'] Exploring Operation: 38-34=4, Resulting Numbers: [25, 4] Generated Node #3: [25, 4] from Operation: 38-34=4 Current State: 100:[25, 4], Operations: ['77-52=25', '38-34=4'] Exploring Operation: 25*4=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 74, 51, 32, 75 ]
84
[ "74-51=23", "32+75=107", "107-23=84" ]
Current State: 84:[74, 51, 32, 75], Operations: [] Exploring Operation: 74-51=23, Resulting Numbers: [32, 75, 23] Generated Node #2: [32, 75, 23] from Operation: 74-51=23 Current State: 84:[32, 75, 23], Operations: ['74-51=23'] Exploring Operation: 32+75=107, Resulting Numbers: [23, 107] Generated Node #3: [23, 107] from Operation: 32+75=107 Current State: 84:[23, 107], Operations: ['74-51=23', '32+75=107'] Exploring Operation: 107-23=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 4, 36, 82, 33 ]
52
[ "82-36=46", "46-33=13", "4*13=52" ]
Current State: 52:[4, 36, 82, 33], Operations: [] Exploring Operation: 82-36=46, Resulting Numbers: [4, 33, 46] Generated Node #2: [4, 33, 46] from Operation: 82-36=46 Current State: 52:[4, 33, 46], Operations: ['82-36=46'] Exploring Operation: 46-33=13, Resulting Numbers: [4, 13] Generated Node #3: [4, 13] from Operation: 46-33=13 Current State: 52:[4, 13], Operations: ['82-36=46', '46-33=13'] Exploring Operation: 4*13=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 64, 41, 32, 46 ]
18
[ "64/32=2", "46/2=23", "41-23=18" ]
Current State: 18:[64, 41, 32, 46], Operations: [] Exploring Operation: 64/32=2, Resulting Numbers: [41, 46, 2] Generated Node #2: [41, 46, 2] from Operation: 64/32=2 Current State: 18:[41, 46, 2], Operations: ['64/32=2'] Exploring Operation: 46/2=23, Resulting Numbers: [41, 23] Generated Node #3: [41, 23] from Operation: 46/2=23 Current State: 18:[41, 23], Operations: ['64/32=2', '46/2=23'] Exploring Operation: 41-23=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 28, 52, 2, 25 ]
82
[ "52-25=27", "2*27=54", "28+54=82" ]
Current State: 82:[28, 52, 2, 25], Operations: [] Exploring Operation: 52-25=27, Resulting Numbers: [28, 2, 27] Generated Node #2: [28, 2, 27] from Operation: 52-25=27 Current State: 82:[28, 2, 27], Operations: ['52-25=27'] Exploring Operation: 2*27=54, Resulting Numbers: [28, 54] Generated Node #3: [28, 54] from Operation: 2*27=54 Current State: 82:[28, 54], Operations: ['52-25=27', '2*27=54'] Exploring Operation: 28+54=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 27, 21, 50, 13 ]
26
[ "27+21=48", "50-48=2", "13*2=26" ]
Current State: 26:[27, 21, 50, 13], Operations: [] Exploring Operation: 27+21=48, Resulting Numbers: [50, 13, 48] Generated Node #2: [50, 13, 48] from Operation: 27+21=48 Current State: 26:[50, 13, 48], Operations: ['27+21=48'] Exploring Operation: 50-48=2, Resulting Numbers: [13, 2] Generated Node #3: [13, 2] from Operation: 50-48=2 Current State: 26:[13, 2], Operations: ['27+21=48', '50-48=2'] Exploring Operation: 13*2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 51, 4, 64, 18 ]
85
[ "64-51=13", "4*18=72", "13+72=85" ]
Current State: 85:[51, 4, 64, 18], Operations: [] Exploring Operation: 64-51=13, Resulting Numbers: [4, 18, 13] Generated Node #2: [4, 18, 13] from Operation: 64-51=13 Current State: 85:[4, 18, 13], Operations: ['64-51=13'] Exploring Operation: 4*18=72, Resulting Numbers: [13, 72] Generated Node #3: [13, 72] from Operation: 4*18=72 Current State: 85:[13, 72], Operations: ['64-51=13', '4*18=72'] Exploring Operation: 13+72=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 55, 62, 82, 26 ]
100
[ "62-55=7", "26*7=182", "182-82=100" ]
Current State: 100:[55, 62, 82, 26], Operations: [] Exploring Operation: 62-55=7, Resulting Numbers: [82, 26, 7] Generated Node #2: [82, 26, 7] from Operation: 62-55=7 Current State: 100:[82, 26, 7], Operations: ['62-55=7'] Exploring Operation: 26*7=182, Resulting Numbers: [82, 182] Generated Node #3: [82, 182] from Operation: 26*7=182 Current State: 100:[82, 182], Operations: ['62-55=7', '26*7=182'] Exploring Operation: 182-82=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 18, 68, 87, 90 ]
74
[ "90-87=3", "18/3=6", "68+6=74" ]
Current State: 74:[18, 68, 87, 90], Operations: [] Exploring Operation: 90-87=3, Resulting Numbers: [18, 68, 3] Generated Node #2: [18, 68, 3] from Operation: 90-87=3 Current State: 74:[18, 68, 3], Operations: ['90-87=3'] Exploring Operation: 18/3=6, Resulting Numbers: [68, 6] Generated Node #3: [68, 6] from Operation: 18/3=6 Current State: 74:[68, 6], Operations: ['90-87=3', '18/3=6'] Exploring Operation: 68+6=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 72, 8, 3, 47 ]
41
[ "72/8=9", "3+47=50", "50-9=41" ]
Current State: 41:[72, 8, 3, 47], Operations: [] Exploring Operation: 72/8=9, Resulting Numbers: [3, 47, 9] Generated Node #2: [3, 47, 9] from Operation: 72/8=9 Current State: 41:[3, 47, 9], Operations: ['72/8=9'] Exploring Operation: 3+47=50, Resulting Numbers: [9, 50] Generated Node #3: [9, 50] from Operation: 3+47=50 Current State: 41:[9, 50], Operations: ['72/8=9', '3+47=50'] Exploring Operation: 50-9=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 42, 12, 60, 63 ]
78
[ "12*63=756", "756/42=18", "60+18=78" ]
Current State: 78:[42, 12, 60, 63], Operations: [] Exploring Operation: 12*63=756, Resulting Numbers: [42, 60, 756] Generated Node #2: [42, 60, 756] from Operation: 12*63=756 Current State: 78:[42, 60, 756], Operations: ['12*63=756'] Exploring Operation: 756/42=18, Resulting Numbers: [60, 18] Generated Node #3: [60, 18] from Operation: 756/42=18 Current State: 78:[60, 18], Operations: ['12*63=756', '756/42=18'] Exploring Operation: 60+18=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 34, 85, 94, 66 ]
64
[ "94+66=160", "34*160=5440", "5440/85=64" ]
Current State: 64:[34, 85, 94, 66], Operations: [] Exploring Operation: 94+66=160, Resulting Numbers: [34, 85, 160] Generated Node #2: [34, 85, 160] from Operation: 94+66=160 Current State: 64:[34, 85, 160], Operations: ['94+66=160'] Exploring Operation: 34*160=5440, Resulting Numbers: [85, 5440] Generated Node #3: [85, 5440] from Operation: 34*160=5440 Current State: 64:[85, 5440], Operations: ['94+66=160', '34*160=5440'] Exploring Operation: 5440/85=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 73, 26, 20, 55 ]
82
[ "73-26=47", "55-20=35", "47+35=82" ]
Current State: 82:[73, 26, 20, 55], Operations: [] Exploring Operation: 73-26=47, Resulting Numbers: [20, 55, 47] Generated Node #2: [20, 55, 47] from Operation: 73-26=47 Current State: 82:[20, 55, 47], Operations: ['73-26=47'] Exploring Operation: 55-20=35, Resulting Numbers: [47, 35] Generated Node #3: [47, 35] from Operation: 55-20=35 Current State: 82:[47, 35], Operations: ['73-26=47', '55-20=35'] Exploring Operation: 47+35=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 25, 48, 8, 78 ]
74
[ "25*8=200", "48+78=126", "200-126=74" ]
Current State: 74:[25, 48, 8, 78], Operations: [] Exploring Operation: 25*8=200, Resulting Numbers: [48, 78, 200] Generated Node #2: [48, 78, 200] from Operation: 25*8=200 Current State: 74:[48, 78, 200], Operations: ['25*8=200'] Exploring Operation: 48+78=126, Resulting Numbers: [200, 126] Generated Node #3: [200, 126] from Operation: 48+78=126 Current State: 74:[200, 126], Operations: ['25*8=200', '48+78=126'] Exploring Operation: 200-126=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 43, 4, 15, 77 ]
70
[ "43-15=28", "28/4=7", "77-7=70" ]
Current State: 70:[43, 4, 15, 77], Operations: [] Exploring Operation: 43-15=28, Resulting Numbers: [4, 77, 28] Generated Node #2: [4, 77, 28] from Operation: 43-15=28 Current State: 70:[4, 77, 28], Operations: ['43-15=28'] Exploring Operation: 28/4=7, Resulting Numbers: [77, 7] Generated Node #3: [77, 7] from Operation: 28/4=7 Current State: 70:[77, 7], Operations: ['43-15=28', '28/4=7'] Exploring Operation: 77-7=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 41, 5, 3, 35 ]
15
[ "41-3=38", "38-35=3", "5*3=15" ]
Current State: 15:[41, 5, 3, 35], Operations: [] Exploring Operation: 41-3=38, Resulting Numbers: [5, 35, 38] Generated Node #2: [5, 35, 38] from Operation: 41-3=38 Current State: 15:[5, 35, 38], Operations: ['41-3=38'] Exploring Operation: 38-35=3, Resulting Numbers: [5, 3] Generated Node #3: [5, 3] from Operation: 38-35=3 Current State: 15:[5, 3], Operations: ['41-3=38', '38-35=3'] Exploring Operation: 5*3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 19, 22, 33, 5 ]
94
[ "22-19=3", "33*3=99", "99-5=94" ]
Current State: 94:[19, 22, 33, 5], Operations: [] Exploring Operation: 22-19=3, Resulting Numbers: [33, 5, 3] Generated Node #2: [33, 5, 3] from Operation: 22-19=3 Current State: 94:[33, 5, 3], Operations: ['22-19=3'] Exploring Operation: 33*3=99, Resulting Numbers: [5, 99] Generated Node #3: [5, 99] from Operation: 33*3=99 Current State: 94:[5, 99], Operations: ['22-19=3', '33*3=99'] Exploring Operation: 99-5=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 29, 28, 22, 38 ]
87
[ "28+38=66", "29*66=1914", "1914/22=87" ]
Current State: 87:[29, 28, 22, 38], Operations: [] Exploring Operation: 28+38=66, Resulting Numbers: [29, 22, 66] Generated Node #2: [29, 22, 66] from Operation: 28+38=66 Current State: 87:[29, 22, 66], Operations: ['28+38=66'] Exploring Operation: 29*66=1914, Resulting Numbers: [22, 1914] Generated Node #3: [22, 1914] from Operation: 29*66=1914 Current State: 87:[22, 1914], Operations: ['28+38=66', '29*66=1914'] Exploring Operation: 1914/22=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 70, 3, 3, 99 ]
28
[ "99-70=29", "3/3=1", "29-1=28" ]
Current State: 28:[70, 3, 3, 99], Operations: [] Exploring Operation: 99-70=29, Resulting Numbers: [3, 3, 29] Generated Node #2: [3, 3, 29] from Operation: 99-70=29 Current State: 28:[3, 3, 29], Operations: ['99-70=29'] Exploring Operation: 3/3=1, Resulting Numbers: [29, 1] Generated Node #3: [29, 1] from Operation: 3/3=1 Current State: 28:[29, 1], Operations: ['99-70=29', '3/3=1'] Exploring Operation: 29-1=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 29, 27, 88, 36 ]
80
[ "29-27=2", "88/2=44", "36+44=80" ]
Current State: 80:[29, 27, 88, 36], Operations: [] Exploring Operation: 29-27=2, Resulting Numbers: [88, 36, 2] Generated Node #2: [88, 36, 2] from Operation: 29-27=2 Current State: 80:[88, 36, 2], Operations: ['29-27=2'] Exploring Operation: 88/2=44, Resulting Numbers: [36, 44] Generated Node #3: [36, 44] from Operation: 88/2=44 Current State: 80:[36, 44], Operations: ['29-27=2', '88/2=44'] Exploring Operation: 36+44=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 90, 82, 20, 98 ]
86
[ "90-82=8", "98-20=78", "8+78=86" ]
Current State: 86:[90, 82, 20, 98], Operations: [] Exploring Operation: 90-82=8, Resulting Numbers: [20, 98, 8] Generated Node #2: [20, 98, 8] from Operation: 90-82=8 Current State: 86:[20, 98, 8], Operations: ['90-82=8'] Exploring Operation: 98-20=78, Resulting Numbers: [8, 78] Generated Node #3: [8, 78] from Operation: 98-20=78 Current State: 86:[8, 78], Operations: ['90-82=8', '98-20=78'] Exploring Operation: 8+78=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 88, 43, 22, 27 ]
65
[ "88/22=4", "27*4=108", "108-43=65" ]
Current State: 65:[88, 43, 22, 27], Operations: [] Exploring Operation: 88/22=4, Resulting Numbers: [43, 27, 4] Generated Node #2: [43, 27, 4] from Operation: 88/22=4 Current State: 65:[43, 27, 4], Operations: ['88/22=4'] Exploring Operation: 27*4=108, Resulting Numbers: [43, 108] Generated Node #3: [43, 108] from Operation: 27*4=108 Current State: 65:[43, 108], Operations: ['88/22=4', '27*4=108'] Exploring Operation: 108-43=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 80, 58, 21, 43 ]
86
[ "80-58=22", "21+43=64", "22+64=86" ]
Current State: 86:[80, 58, 21, 43], Operations: [] Exploring Operation: 80-58=22, Resulting Numbers: [21, 43, 22] Generated Node #2: [21, 43, 22] from Operation: 80-58=22 Current State: 86:[21, 43, 22], Operations: ['80-58=22'] Exploring Operation: 21+43=64, Resulting Numbers: [22, 64] Generated Node #3: [22, 64] from Operation: 21+43=64 Current State: 86:[22, 64], Operations: ['80-58=22', '21+43=64'] Exploring Operation: 22+64=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4