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
[ 49, 4, 98, 16 ]
83
[ "49+98=147", "4*16=64", "147-64=83" ]
Current State: 83:[49, 4, 98, 16], Operations: [] Exploring Operation: 49+98=147, Resulting Numbers: [4, 16, 147] Generated Node #2: [4, 16, 147] from Operation: 49+98=147 Current State: 83:[4, 16, 147], Operations: ['49+98=147'] Exploring Operation: 4*16=64, Resulting Numbers: [147, 64] Generated Node #3: [147, 64] from Operation: 4*16=64 Current State: 83:[147, 64], Operations: ['49+98=147', '4*16=64'] Exploring Operation: 147-64=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 50, 72, 5, 47 ]
57
[ "50-47=3", "5*3=15", "72-15=57" ]
Current State: 57:[50, 72, 5, 47], Operations: [] Exploring Operation: 50-47=3, Resulting Numbers: [72, 5, 3] Generated Node #2: [72, 5, 3] from Operation: 50-47=3 Current State: 57:[72, 5, 3], Operations: ['50-47=3'] Exploring Operation: 5*3=15, Resulting Numbers: [72, 15] Generated Node #3: [72, 15] from Operation: 5*3=15 Current State: 57:[72, 15], Operations: ['50-47=3', '5*3=15'] Exploring Operation: 72-15=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 77, 71, 54, 90 ]
24
[ "77-71=6", "54+90=144", "144/6=24" ]
Current State: 24:[77, 71, 54, 90], Operations: [] Exploring Operation: 77-71=6, Resulting Numbers: [54, 90, 6] Generated Node #2: [54, 90, 6] from Operation: 77-71=6 Current State: 24:[54, 90, 6], Operations: ['77-71=6'] Exploring Operation: 54+90=144, Resulting Numbers: [6, 144] Generated Node #3: [6, 144] from Operation: 54+90=144 Current State: 24:[6, 144], Operations: ['77-71=6', '54+90=144'] Exploring Operation: 144/6=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 61, 45, 36, 91 ]
21
[ "61+45=106", "36+91=127", "127-106=21" ]
Current State: 21:[61, 45, 36, 91], Operations: [] Exploring Operation: 61+45=106, Resulting Numbers: [36, 91, 106] Generated Node #2: [36, 91, 106] from Operation: 61+45=106 Current State: 21:[36, 91, 106], Operations: ['61+45=106'] Exploring Operation: 36+91=127, Resulting Numbers: [106, 127] Generated Node #3: [106, 127] from Operation: 36+91=127 Current State: 21:[106, 127], Operations: ['61+45=106', '36+91=127'] Exploring Operation: 127-106=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 30, 17, 26, 81 ]
16
[ "30-26=4", "81-17=64", "64/4=16" ]
Current State: 16:[30, 17, 26, 81], Operations: [] Exploring Operation: 30-26=4, Resulting Numbers: [17, 81, 4] Generated Node #2: [17, 81, 4] from Operation: 30-26=4 Current State: 16:[17, 81, 4], Operations: ['30-26=4'] Exploring Operation: 81-17=64, Resulting Numbers: [4, 64] Generated Node #3: [4, 64] from Operation: 81-17=64 Current State: 16:[4, 64], Operations: ['30-26=4', '81-17=64'] Exploring Operation: 64/4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 63, 62, 56, 6 ]
57
[ "63*56=3528", "6+3528=3534", "3534/62=57" ]
Current State: 57:[63, 62, 56, 6], Operations: [] Exploring Operation: 63*56=3528, Resulting Numbers: [62, 6, 3528] Generated Node #2: [62, 6, 3528] from Operation: 63*56=3528 Current State: 57:[62, 6, 3528], Operations: ['63*56=3528'] Exploring Operation: 6+3528=3534, Resulting Numbers: [62, 3534] Generated Node #3: [62, 3534] from Operation: 6+3528=3534 Current State: 57:[62, 3534], Operations: ['63*56=3528', '6+3528=3534'] Exploring Operation: 3534/62=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 70, 60, 19, 54 ]
76
[ "60+54=114", "114/19=6", "70+6=76" ]
Current State: 76:[70, 60, 19, 54], Operations: [] Exploring Operation: 60+54=114, Resulting Numbers: [70, 19, 114] Generated Node #2: [70, 19, 114] from Operation: 60+54=114 Current State: 76:[70, 19, 114], Operations: ['60+54=114'] Exploring Operation: 114/19=6, Resulting Numbers: [70, 6] Generated Node #3: [70, 6] from Operation: 114/19=6 Current State: 76:[70, 6], Operations: ['60+54=114', '114/19=6'] Exploring Operation: 70+6=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 63, 2, 45, 48 ]
30
[ "63+45=108", "108-48=60", "60/2=30" ]
Current State: 30:[63, 2, 45, 48], Operations: [] Exploring Operation: 63+45=108, Resulting Numbers: [2, 48, 108] Generated Node #2: [2, 48, 108] from Operation: 63+45=108 Current State: 30:[2, 48, 108], Operations: ['63+45=108'] Exploring Operation: 108-48=60, Resulting Numbers: [2, 60] Generated Node #3: [2, 60] from Operation: 108-48=60 Current State: 30:[2, 60], Operations: ['63+45=108', '108-48=60'] Exploring Operation: 60/2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 30, 1, 65, 11 ]
62
[ "11-1=10", "30/10=3", "65-3=62" ]
Current State: 62:[30, 1, 65, 11], Operations: [] Exploring Operation: 11-1=10, Resulting Numbers: [30, 65, 10] Generated Node #2: [30, 65, 10] from Operation: 11-1=10 Current State: 62:[30, 65, 10], Operations: ['11-1=10'] Exploring Operation: 30/10=3, Resulting Numbers: [65, 3] Generated Node #3: [65, 3] from Operation: 30/10=3 Current State: 62:[65, 3], Operations: ['11-1=10', '30/10=3'] Exploring Operation: 65-3=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 69, 80, 58, 44 ]
88
[ "80+58=138", "138/69=2", "44*2=88" ]
Current State: 88:[69, 80, 58, 44], Operations: [] Exploring Operation: 80+58=138, Resulting Numbers: [69, 44, 138] Generated Node #2: [69, 44, 138] from Operation: 80+58=138 Current State: 88:[69, 44, 138], Operations: ['80+58=138'] Exploring Operation: 138/69=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 138/69=2 Current State: 88:[44, 2], Operations: ['80+58=138', '138/69=2'] Exploring Operation: 44*2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 13, 18, 78, 22 ]
51
[ "18-13=5", "78-22=56", "56-5=51" ]
Current State: 51:[13, 18, 78, 22], Operations: [] Exploring Operation: 18-13=5, Resulting Numbers: [78, 22, 5] Generated Node #2: [78, 22, 5] from Operation: 18-13=5 Current State: 51:[78, 22, 5], Operations: ['18-13=5'] Exploring Operation: 78-22=56, Resulting Numbers: [5, 56] Generated Node #3: [5, 56] from Operation: 78-22=56 Current State: 51:[5, 56], Operations: ['18-13=5', '78-22=56'] Exploring Operation: 56-5=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 33, 83, 48, 25 ]
50
[ "83-33=50", "50-48=2", "25*2=50" ]
Current State: 50:[33, 83, 48, 25], Operations: [] Exploring Operation: 83-33=50, Resulting Numbers: [48, 25, 50] Generated Node #2: [48, 25, 50] from Operation: 83-33=50 Current State: 50:[48, 25, 50], Operations: ['83-33=50'] Exploring Operation: 50-48=2, Resulting Numbers: [25, 2] Generated Node #3: [25, 2] from Operation: 50-48=2 Current State: 50:[25, 2], Operations: ['83-33=50', '50-48=2'] Exploring Operation: 25*2=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 1, 39, 77, 29 ]
86
[ "39-1=38", "77-29=48", "38+48=86" ]
Current State: 86:[1, 39, 77, 29], Operations: [] Exploring Operation: 39-1=38, Resulting Numbers: [77, 29, 38] Generated Node #2: [77, 29, 38] from Operation: 39-1=38 Current State: 86:[77, 29, 38], Operations: ['39-1=38'] Exploring Operation: 77-29=48, Resulting Numbers: [38, 48] Generated Node #3: [38, 48] from Operation: 77-29=48 Current State: 86:[38, 48], Operations: ['39-1=38', '77-29=48'] Exploring Operation: 38+48=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 41, 24, 13, 76 ]
37
[ "76-24=52", "52/13=4", "41-4=37" ]
Current State: 37:[41, 24, 13, 76], Operations: [] Exploring Operation: 76-24=52, Resulting Numbers: [41, 13, 52] Generated Node #2: [41, 13, 52] from Operation: 76-24=52 Current State: 37:[41, 13, 52], Operations: ['76-24=52'] Exploring Operation: 52/13=4, Resulting Numbers: [41, 4] Generated Node #3: [41, 4] from Operation: 52/13=4 Current State: 37:[41, 4], Operations: ['76-24=52', '52/13=4'] Exploring Operation: 41-4=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 14, 55, 93, 58 ]
45
[ "58-55=3", "93/3=31", "14+31=45" ]
Current State: 45:[14, 55, 93, 58], Operations: [] Exploring Operation: 58-55=3, Resulting Numbers: [14, 93, 3] Generated Node #2: [14, 93, 3] from Operation: 58-55=3 Current State: 45:[14, 93, 3], Operations: ['58-55=3'] Exploring Operation: 93/3=31, Resulting Numbers: [14, 31] Generated Node #3: [14, 31] from Operation: 93/3=31 Current State: 45:[14, 31], Operations: ['58-55=3', '93/3=31'] Exploring Operation: 14+31=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 3, 13, 35, 66 ]
44
[ "66/3=22", "35-13=22", "22+22=44" ]
Current State: 44:[3, 13, 35, 66], Operations: [] Exploring Operation: 66/3=22, Resulting Numbers: [13, 35, 22] Generated Node #2: [13, 35, 22] from Operation: 66/3=22 Current State: 44:[13, 35, 22], Operations: ['66/3=22'] Exploring Operation: 35-13=22, Resulting Numbers: [22, 22] Generated Node #3: [22, 22] from Operation: 35-13=22 Current State: 44:[22, 22], Operations: ['66/3=22', '35-13=22'] Exploring Operation: 22+22=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 8, 29, 59, 42 ]
53
[ "29+59=88", "88/8=11", "42+11=53" ]
Current State: 53:[8, 29, 59, 42], Operations: [] Exploring Operation: 29+59=88, Resulting Numbers: [8, 42, 88] Generated Node #2: [8, 42, 88] from Operation: 29+59=88 Current State: 53:[8, 42, 88], Operations: ['29+59=88'] Exploring Operation: 88/8=11, Resulting Numbers: [42, 11] Generated Node #3: [42, 11] from Operation: 88/8=11 Current State: 53:[42, 11], Operations: ['29+59=88', '88/8=11'] Exploring Operation: 42+11=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 65, 87, 6, 6 ]
10
[ "87-65=22", "6+6=12", "22-12=10" ]
Current State: 10:[65, 87, 6, 6], Operations: [] Exploring Operation: 87-65=22, Resulting Numbers: [6, 6, 22] Generated Node #2: [6, 6, 22] from Operation: 87-65=22 Current State: 10:[6, 6, 22], Operations: ['87-65=22'] Exploring Operation: 6+6=12, Resulting Numbers: [22, 12] Generated Node #3: [22, 12] from Operation: 6+6=12 Current State: 10:[22, 12], Operations: ['87-65=22', '6+6=12'] Exploring Operation: 22-12=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 30, 85, 14, 86 ]
89
[ "86-30=56", "56/14=4", "85+4=89" ]
Current State: 89:[30, 85, 14, 86], Operations: [] Exploring Operation: 86-30=56, Resulting Numbers: [85, 14, 56] Generated Node #2: [85, 14, 56] from Operation: 86-30=56 Current State: 89:[85, 14, 56], Operations: ['86-30=56'] Exploring Operation: 56/14=4, Resulting Numbers: [85, 4] Generated Node #3: [85, 4] from Operation: 56/14=4 Current State: 89:[85, 4], Operations: ['86-30=56', '56/14=4'] Exploring Operation: 85+4=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 89, 24, 30, 16 ]
84
[ "89+16=105", "24*105=2520", "2520/30=84" ]
Current State: 84:[89, 24, 30, 16], Operations: [] Exploring Operation: 89+16=105, Resulting Numbers: [24, 30, 105] Generated Node #2: [24, 30, 105] from Operation: 89+16=105 Current State: 84:[24, 30, 105], Operations: ['89+16=105'] Exploring Operation: 24*105=2520, Resulting Numbers: [30, 2520] Generated Node #3: [30, 2520] from Operation: 24*105=2520 Current State: 84:[30, 2520], Operations: ['89+16=105', '24*105=2520'] Exploring Operation: 2520/30=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 63, 60, 81, 36 ]
62
[ "81-63=18", "36/18=2", "60+2=62" ]
Current State: 62:[63, 60, 81, 36], Operations: [] Exploring Operation: 81-63=18, Resulting Numbers: [60, 36, 18] Generated Node #2: [60, 36, 18] from Operation: 81-63=18 Current State: 62:[60, 36, 18], Operations: ['81-63=18'] Exploring Operation: 36/18=2, Resulting Numbers: [60, 2] Generated Node #3: [60, 2] from Operation: 36/18=2 Current State: 62:[60, 2], Operations: ['81-63=18', '36/18=2'] Exploring Operation: 60+2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 5, 3, 1, 62 ]
18
[ "62-5=57", "57/3=19", "19-1=18" ]
Current State: 18:[5, 3, 1, 62], Operations: [] Exploring Operation: 62-5=57, Resulting Numbers: [3, 1, 57] Generated Node #2: [3, 1, 57] from Operation: 62-5=57 Current State: 18:[3, 1, 57], Operations: ['62-5=57'] Exploring Operation: 57/3=19, Resulting Numbers: [1, 19] Generated Node #3: [1, 19] from Operation: 57/3=19 Current State: 18:[1, 19], Operations: ['62-5=57', '57/3=19'] Exploring Operation: 19-1=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 12, 69, 5, 43 ]
95
[ "69-12=57", "43-5=38", "57+38=95" ]
Current State: 95:[12, 69, 5, 43], Operations: [] Exploring Operation: 69-12=57, Resulting Numbers: [5, 43, 57] Generated Node #2: [5, 43, 57] from Operation: 69-12=57 Current State: 95:[5, 43, 57], Operations: ['69-12=57'] Exploring Operation: 43-5=38, Resulting Numbers: [57, 38] Generated Node #3: [57, 38] from Operation: 43-5=38 Current State: 95:[57, 38], Operations: ['69-12=57', '43-5=38'] Exploring Operation: 57+38=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 52, 30, 81, 83 ]
44
[ "52-30=22", "83-81=2", "22*2=44" ]
Current State: 44:[52, 30, 81, 83], Operations: [] Exploring Operation: 52-30=22, Resulting Numbers: [81, 83, 22] Generated Node #2: [81, 83, 22] from Operation: 52-30=22 Current State: 44:[81, 83, 22], Operations: ['52-30=22'] Exploring Operation: 83-81=2, Resulting Numbers: [22, 2] Generated Node #3: [22, 2] from Operation: 83-81=2 Current State: 44:[22, 2], Operations: ['52-30=22', '83-81=2'] Exploring Operation: 22*2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 4, 4, 52, 20 ]
31
[ "4/4=1", "52-20=32", "32-1=31" ]
Current State: 31:[4, 4, 52, 20], Operations: [] Exploring Operation: 4/4=1, Resulting Numbers: [52, 20, 1] Generated Node #2: [52, 20, 1] from Operation: 4/4=1 Current State: 31:[52, 20, 1], Operations: ['4/4=1'] Exploring Operation: 52-20=32, Resulting Numbers: [1, 32] Generated Node #3: [1, 32] from Operation: 52-20=32 Current State: 31:[1, 32], Operations: ['4/4=1', '52-20=32'] Exploring Operation: 32-1=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 44, 54, 88, 29 ]
22
[ "44*29=1276", "1276-88=1188", "1188/54=22" ]
Current State: 22:[44, 54, 88, 29], Operations: [] Exploring Operation: 44*29=1276, Resulting Numbers: [54, 88, 1276] Generated Node #2: [54, 88, 1276] from Operation: 44*29=1276 Current State: 22:[54, 88, 1276], Operations: ['44*29=1276'] Exploring Operation: 1276-88=1188, Resulting Numbers: [54, 1188] Generated Node #3: [54, 1188] from Operation: 1276-88=1188 Current State: 22:[54, 1188], Operations: ['44*29=1276', '1276-88=1188'] Exploring Operation: 1188/54=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 52, 61, 18, 81 ]
90
[ "61-52=9", "18+81=99", "99-9=90" ]
Current State: 90:[52, 61, 18, 81], Operations: [] Exploring Operation: 61-52=9, Resulting Numbers: [18, 81, 9] Generated Node #2: [18, 81, 9] from Operation: 61-52=9 Current State: 90:[18, 81, 9], Operations: ['61-52=9'] Exploring Operation: 18+81=99, Resulting Numbers: [9, 99] Generated Node #3: [9, 99] from Operation: 18+81=99 Current State: 90:[9, 99], Operations: ['61-52=9', '18+81=99'] Exploring Operation: 99-9=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 96, 48, 46, 68 ]
80
[ "96/48=2", "68/2=34", "46+34=80" ]
Current State: 80:[96, 48, 46, 68], Operations: [] Exploring Operation: 96/48=2, Resulting Numbers: [46, 68, 2] Generated Node #2: [46, 68, 2] from Operation: 96/48=2 Current State: 80:[46, 68, 2], Operations: ['96/48=2'] Exploring Operation: 68/2=34, Resulting Numbers: [46, 34] Generated Node #3: [46, 34] from Operation: 68/2=34 Current State: 80:[46, 34], Operations: ['96/48=2', '68/2=34'] Exploring Operation: 46+34=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 94, 30, 20, 40 ]
66
[ "94-30=64", "40/20=2", "64+2=66" ]
Current State: 66:[94, 30, 20, 40], Operations: [] Exploring Operation: 94-30=64, Resulting Numbers: [20, 40, 64] Generated Node #2: [20, 40, 64] from Operation: 94-30=64 Current State: 66:[20, 40, 64], Operations: ['94-30=64'] Exploring Operation: 40/20=2, Resulting Numbers: [64, 2] Generated Node #3: [64, 2] from Operation: 40/20=2 Current State: 66:[64, 2], Operations: ['94-30=64', '40/20=2'] Exploring Operation: 64+2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 74, 99, 47, 49 ]
73
[ "74*47=3478", "99+3478=3577", "3577/49=73" ]
Current State: 73:[74, 99, 47, 49], Operations: [] Exploring Operation: 74*47=3478, Resulting Numbers: [99, 49, 3478] Generated Node #2: [99, 49, 3478] from Operation: 74*47=3478 Current State: 73:[99, 49, 3478], Operations: ['74*47=3478'] Exploring Operation: 99+3478=3577, Resulting Numbers: [49, 3577] Generated Node #3: [49, 3577] from Operation: 99+3478=3577 Current State: 73:[49, 3577], Operations: ['74*47=3478', '99+3478=3577'] Exploring Operation: 3577/49=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 82, 20, 2, 32 ]
40
[ "82-32=50", "20/2=10", "50-10=40" ]
Current State: 40:[82, 20, 2, 32], Operations: [] Exploring Operation: 82-32=50, Resulting Numbers: [20, 2, 50] Generated Node #2: [20, 2, 50] from Operation: 82-32=50 Current State: 40:[20, 2, 50], Operations: ['82-32=50'] Exploring Operation: 20/2=10, Resulting Numbers: [50, 10] Generated Node #3: [50, 10] from Operation: 20/2=10 Current State: 40:[50, 10], Operations: ['82-32=50', '20/2=10'] Exploring Operation: 50-10=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 14, 39, 38, 25 ]
37
[ "39-14=25", "25/25=1", "38-1=37" ]
Current State: 37:[14, 39, 38, 25], Operations: [] Exploring Operation: 39-14=25, Resulting Numbers: [38, 25, 25] Generated Node #2: [38, 25, 25] from Operation: 39-14=25 Current State: 37:[38, 25, 25], Operations: ['39-14=25'] Exploring Operation: 25/25=1, Resulting Numbers: [38, 1] Generated Node #3: [38, 1] from Operation: 25/25=1 Current State: 37:[38, 1], Operations: ['39-14=25', '25/25=1'] Exploring Operation: 38-1=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 13, 53, 61, 46 ]
41
[ "13+53=66", "61+46=107", "107-66=41" ]
Current State: 41:[13, 53, 61, 46], Operations: [] Exploring Operation: 13+53=66, Resulting Numbers: [61, 46, 66] Generated Node #2: [61, 46, 66] from Operation: 13+53=66 Current State: 41:[61, 46, 66], Operations: ['13+53=66'] Exploring Operation: 61+46=107, Resulting Numbers: [66, 107] Generated Node #3: [66, 107] from Operation: 61+46=107 Current State: 41:[66, 107], Operations: ['13+53=66', '61+46=107'] Exploring Operation: 107-66=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 69, 98, 37, 7 ]
18
[ "69-37=32", "98/7=14", "32-14=18" ]
Current State: 18:[69, 98, 37, 7], Operations: [] Exploring Operation: 69-37=32, Resulting Numbers: [98, 7, 32] Generated Node #2: [98, 7, 32] from Operation: 69-37=32 Current State: 18:[98, 7, 32], Operations: ['69-37=32'] Exploring Operation: 98/7=14, Resulting Numbers: [32, 14] Generated Node #3: [32, 14] from Operation: 98/7=14 Current State: 18:[32, 14], Operations: ['69-37=32', '98/7=14'] Exploring Operation: 32-14=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 39, 80, 81, 15 ]
55
[ "80-39=41", "81+15=96", "96-41=55" ]
Current State: 55:[39, 80, 81, 15], Operations: [] Exploring Operation: 80-39=41, Resulting Numbers: [81, 15, 41] Generated Node #2: [81, 15, 41] from Operation: 80-39=41 Current State: 55:[81, 15, 41], Operations: ['80-39=41'] Exploring Operation: 81+15=96, Resulting Numbers: [41, 96] Generated Node #3: [41, 96] from Operation: 81+15=96 Current State: 55:[41, 96], Operations: ['80-39=41', '81+15=96'] Exploring Operation: 96-41=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 14, 32, 61, 67 ]
56
[ "61+67=128", "14*128=1792", "1792/32=56" ]
Current State: 56:[14, 32, 61, 67], Operations: [] Exploring Operation: 61+67=128, Resulting Numbers: [14, 32, 128] Generated Node #2: [14, 32, 128] from Operation: 61+67=128 Current State: 56:[14, 32, 128], Operations: ['61+67=128'] Exploring Operation: 14*128=1792, Resulting Numbers: [32, 1792] Generated Node #3: [32, 1792] from Operation: 14*128=1792 Current State: 56:[32, 1792], Operations: ['61+67=128', '14*128=1792'] Exploring Operation: 1792/32=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 90, 13, 66, 21 ]
26
[ "90*13=1170", "66-21=45", "1170/45=26" ]
Current State: 26:[90, 13, 66, 21], Operations: [] Exploring Operation: 90*13=1170, Resulting Numbers: [66, 21, 1170] Generated Node #2: [66, 21, 1170] from Operation: 90*13=1170 Current State: 26:[66, 21, 1170], Operations: ['90*13=1170'] Exploring Operation: 66-21=45, Resulting Numbers: [1170, 45] Generated Node #3: [1170, 45] from Operation: 66-21=45 Current State: 26:[1170, 45], Operations: ['90*13=1170', '66-21=45'] Exploring Operation: 1170/45=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 93, 29, 44, 21 ]
87
[ "93-29=64", "44-21=23", "64+23=87" ]
Current State: 87:[93, 29, 44, 21], Operations: [] Exploring Operation: 93-29=64, Resulting Numbers: [44, 21, 64] Generated Node #2: [44, 21, 64] from Operation: 93-29=64 Current State: 87:[44, 21, 64], Operations: ['93-29=64'] Exploring Operation: 44-21=23, Resulting Numbers: [64, 23] Generated Node #3: [64, 23] from Operation: 44-21=23 Current State: 87:[64, 23], Operations: ['93-29=64', '44-21=23'] Exploring Operation: 64+23=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 29, 25, 45, 82 ]
17
[ "29+25=54", "82-45=37", "54-37=17" ]
Current State: 17:[29, 25, 45, 82], Operations: [] Exploring Operation: 29+25=54, Resulting Numbers: [45, 82, 54] Generated Node #2: [45, 82, 54] from Operation: 29+25=54 Current State: 17:[45, 82, 54], Operations: ['29+25=54'] Exploring Operation: 82-45=37, Resulting Numbers: [54, 37] Generated Node #3: [54, 37] from Operation: 82-45=37 Current State: 17:[54, 37], Operations: ['29+25=54', '82-45=37'] Exploring Operation: 54-37=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 67, 3, 20, 36 ]
59
[ "67-20=47", "36/3=12", "47+12=59" ]
Current State: 59:[67, 3, 20, 36], Operations: [] Exploring Operation: 67-20=47, Resulting Numbers: [3, 36, 47] Generated Node #2: [3, 36, 47] from Operation: 67-20=47 Current State: 59:[3, 36, 47], Operations: ['67-20=47'] Exploring Operation: 36/3=12, Resulting Numbers: [47, 12] Generated Node #3: [47, 12] from Operation: 36/3=12 Current State: 59:[47, 12], Operations: ['67-20=47', '36/3=12'] Exploring Operation: 47+12=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 7, 5, 10, 15 ]
73
[ "7*10=70", "15/5=3", "70+3=73" ]
Current State: 73:[7, 5, 10, 15], Operations: [] Exploring Operation: 7*10=70, Resulting Numbers: [5, 15, 70] Generated Node #2: [5, 15, 70] from Operation: 7*10=70 Current State: 73:[5, 15, 70], Operations: ['7*10=70'] Exploring Operation: 15/5=3, Resulting Numbers: [70, 3] Generated Node #3: [70, 3] from Operation: 15/5=3 Current State: 73:[70, 3], Operations: ['7*10=70', '15/5=3'] Exploring Operation: 70+3=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 3, 24, 97, 89 ]
35
[ "3+24=27", "97-89=8", "27+8=35" ]
Current State: 35:[3, 24, 97, 89], Operations: [] Exploring Operation: 3+24=27, Resulting Numbers: [97, 89, 27] Generated Node #2: [97, 89, 27] from Operation: 3+24=27 Current State: 35:[97, 89, 27], Operations: ['3+24=27'] Exploring Operation: 97-89=8, Resulting Numbers: [27, 8] Generated Node #3: [27, 8] from Operation: 97-89=8 Current State: 35:[27, 8], Operations: ['3+24=27', '97-89=8'] Exploring Operation: 27+8=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 11, 49, 5, 64 ]
58
[ "11*5=55", "49+64=113", "113-55=58" ]
Current State: 58:[11, 49, 5, 64], Operations: [] Exploring Operation: 11*5=55, Resulting Numbers: [49, 64, 55] Generated Node #2: [49, 64, 55] from Operation: 11*5=55 Current State: 58:[49, 64, 55], Operations: ['11*5=55'] Exploring Operation: 49+64=113, Resulting Numbers: [55, 113] Generated Node #3: [55, 113] from Operation: 49+64=113 Current State: 58:[55, 113], Operations: ['11*5=55', '49+64=113'] Exploring Operation: 113-55=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 11, 8, 59, 99 ]
43
[ "11-8=3", "99-59=40", "3+40=43" ]
Current State: 43:[11, 8, 59, 99], Operations: [] Exploring Operation: 11-8=3, Resulting Numbers: [59, 99, 3] Generated Node #2: [59, 99, 3] from Operation: 11-8=3 Current State: 43:[59, 99, 3], Operations: ['11-8=3'] Exploring Operation: 99-59=40, Resulting Numbers: [3, 40] Generated Node #3: [3, 40] from Operation: 99-59=40 Current State: 43:[3, 40], Operations: ['11-8=3', '99-59=40'] Exploring Operation: 3+40=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 18, 92, 35, 25 ]
64
[ "92-18=74", "35-25=10", "74-10=64" ]
Current State: 64:[18, 92, 35, 25], Operations: [] Exploring Operation: 92-18=74, Resulting Numbers: [35, 25, 74] Generated Node #2: [35, 25, 74] from Operation: 92-18=74 Current State: 64:[35, 25, 74], Operations: ['92-18=74'] Exploring Operation: 35-25=10, Resulting Numbers: [74, 10] Generated Node #3: [74, 10] from Operation: 35-25=10 Current State: 64:[74, 10], Operations: ['92-18=74', '35-25=10'] Exploring Operation: 74-10=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 8, 33, 46, 77 ]
98
[ "33-8=25", "46+77=123", "123-25=98" ]
Current State: 98:[8, 33, 46, 77], Operations: [] Exploring Operation: 33-8=25, Resulting Numbers: [46, 77, 25] Generated Node #2: [46, 77, 25] from Operation: 33-8=25 Current State: 98:[46, 77, 25], Operations: ['33-8=25'] Exploring Operation: 46+77=123, Resulting Numbers: [25, 123] Generated Node #3: [25, 123] from Operation: 46+77=123 Current State: 98:[25, 123], Operations: ['33-8=25', '46+77=123'] Exploring Operation: 123-25=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 68, 63, 5, 40 ]
39
[ "68-63=5", "5/5=1", "40-1=39" ]
Current State: 39:[68, 63, 5, 40], Operations: [] Exploring Operation: 68-63=5, Resulting Numbers: [5, 40, 5] Generated Node #2: [5, 40, 5] from Operation: 68-63=5 Current State: 39:[5, 40, 5], Operations: ['68-63=5'] Exploring Operation: 5/5=1, Resulting Numbers: [40, 1] Generated Node #3: [40, 1] from Operation: 5/5=1 Current State: 39:[40, 1], Operations: ['68-63=5', '5/5=1'] Exploring Operation: 40-1=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 66, 49, 24, 28 ]
24
[ "66-24=42", "28*42=1176", "1176/49=24" ]
Current State: 24:[66, 49, 24, 28], Operations: [] Exploring Operation: 66-24=42, Resulting Numbers: [49, 28, 42] Generated Node #2: [49, 28, 42] from Operation: 66-24=42 Current State: 24:[49, 28, 42], Operations: ['66-24=42'] Exploring Operation: 28*42=1176, Resulting Numbers: [49, 1176] Generated Node #3: [49, 1176] from Operation: 28*42=1176 Current State: 24:[49, 1176], Operations: ['66-24=42', '28*42=1176'] Exploring Operation: 1176/49=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 57, 31, 9, 21 ]
16
[ "31*9=279", "57+279=336", "336/21=16" ]
Current State: 16:[57, 31, 9, 21], Operations: [] Exploring Operation: 31*9=279, Resulting Numbers: [57, 21, 279] Generated Node #2: [57, 21, 279] from Operation: 31*9=279 Current State: 16:[57, 21, 279], Operations: ['31*9=279'] Exploring Operation: 57+279=336, Resulting Numbers: [21, 336] Generated Node #3: [21, 336] from Operation: 57+279=336 Current State: 16:[21, 336], Operations: ['31*9=279', '57+279=336'] Exploring Operation: 336/21=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 81, 26, 29, 88 ]
21
[ "88-81=7", "29-26=3", "7*3=21" ]
Current State: 21:[81, 26, 29, 88], Operations: [] Exploring Operation: 88-81=7, Resulting Numbers: [26, 29, 7] Generated Node #2: [26, 29, 7] from Operation: 88-81=7 Current State: 21:[26, 29, 7], Operations: ['88-81=7'] Exploring Operation: 29-26=3, Resulting Numbers: [7, 3] Generated Node #3: [7, 3] from Operation: 29-26=3 Current State: 21:[7, 3], Operations: ['88-81=7', '29-26=3'] Exploring Operation: 7*3=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 33, 63, 22, 81 ]
89
[ "63-33=30", "81-22=59", "30+59=89" ]
Current State: 89:[33, 63, 22, 81], Operations: [] Exploring Operation: 63-33=30, Resulting Numbers: [22, 81, 30] Generated Node #2: [22, 81, 30] from Operation: 63-33=30 Current State: 89:[22, 81, 30], Operations: ['63-33=30'] Exploring Operation: 81-22=59, Resulting Numbers: [30, 59] Generated Node #3: [30, 59] from Operation: 81-22=59 Current State: 89:[30, 59], Operations: ['63-33=30', '81-22=59'] Exploring Operation: 30+59=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 51, 42, 10, 91 ]
90
[ "51-42=9", "91-10=81", "9+81=90" ]
Current State: 90:[51, 42, 10, 91], Operations: [] Exploring Operation: 51-42=9, Resulting Numbers: [10, 91, 9] Generated Node #2: [10, 91, 9] from Operation: 51-42=9 Current State: 90:[10, 91, 9], Operations: ['51-42=9'] Exploring Operation: 91-10=81, Resulting Numbers: [9, 81] Generated Node #3: [9, 81] from Operation: 91-10=81 Current State: 90:[9, 81], Operations: ['51-42=9', '91-10=81'] Exploring Operation: 9+81=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 85, 11, 87, 94 ]
89
[ "85+11=96", "94-87=7", "96-7=89" ]
Current State: 89:[85, 11, 87, 94], Operations: [] Exploring Operation: 85+11=96, Resulting Numbers: [87, 94, 96] Generated Node #2: [87, 94, 96] from Operation: 85+11=96 Current State: 89:[87, 94, 96], Operations: ['85+11=96'] Exploring Operation: 94-87=7, Resulting Numbers: [96, 7] Generated Node #3: [96, 7] from Operation: 94-87=7 Current State: 89:[96, 7], Operations: ['85+11=96', '94-87=7'] Exploring Operation: 96-7=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 93, 86, 69, 86 ]
93
[ "86-86=0", "69*0=0", "93+0=93" ]
Current State: 93:[93, 86, 69, 86], Operations: [] Exploring Operation: 86-86=0, Resulting Numbers: [93, 69, 0] Generated Node #2: [93, 69, 0] from Operation: 86-86=0 Current State: 93:[93, 69, 0], Operations: ['86-86=0'] Exploring Operation: 69*0=0, Resulting Numbers: [93, 0] Generated Node #3: [93, 0] from Operation: 69*0=0 Current State: 93:[93, 0], Operations: ['86-86=0', '69*0=0'] Exploring Operation: 93+0=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 31, 88, 16, 33 ]
70
[ "31+88=119", "16+33=49", "119-49=70" ]
Current State: 70:[31, 88, 16, 33], Operations: [] Exploring Operation: 31+88=119, Resulting Numbers: [16, 33, 119] Generated Node #2: [16, 33, 119] from Operation: 31+88=119 Current State: 70:[16, 33, 119], Operations: ['31+88=119'] Exploring Operation: 16+33=49, Resulting Numbers: [119, 49] Generated Node #3: [119, 49] from Operation: 16+33=49 Current State: 70:[119, 49], Operations: ['31+88=119', '16+33=49'] Exploring Operation: 119-49=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 18, 58, 12, 74 ]
13
[ "18*58=1044", "1044/12=87", "87-74=13" ]
Current State: 13:[18, 58, 12, 74], Operations: [] Exploring Operation: 18*58=1044, Resulting Numbers: [12, 74, 1044] Generated Node #2: [12, 74, 1044] from Operation: 18*58=1044 Current State: 13:[12, 74, 1044], Operations: ['18*58=1044'] Exploring Operation: 1044/12=87, Resulting Numbers: [74, 87] Generated Node #3: [74, 87] from Operation: 1044/12=87 Current State: 13:[74, 87], Operations: ['18*58=1044', '1044/12=87'] Exploring Operation: 87-74=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 32, 77, 71, 94 ]
56
[ "32+77=109", "71+94=165", "165-109=56" ]
Current State: 56:[32, 77, 71, 94], Operations: [] Exploring Operation: 32+77=109, Resulting Numbers: [71, 94, 109] Generated Node #2: [71, 94, 109] from Operation: 32+77=109 Current State: 56:[71, 94, 109], Operations: ['32+77=109'] Exploring Operation: 71+94=165, Resulting Numbers: [109, 165] Generated Node #3: [109, 165] from Operation: 71+94=165 Current State: 56:[109, 165], Operations: ['32+77=109', '71+94=165'] Exploring Operation: 165-109=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 82, 54, 18, 68 ]
42
[ "82-68=14", "54/18=3", "14*3=42" ]
Current State: 42:[82, 54, 18, 68], Operations: [] Exploring Operation: 82-68=14, Resulting Numbers: [54, 18, 14] Generated Node #2: [54, 18, 14] from Operation: 82-68=14 Current State: 42:[54, 18, 14], Operations: ['82-68=14'] Exploring Operation: 54/18=3, Resulting Numbers: [14, 3] Generated Node #3: [14, 3] from Operation: 54/18=3 Current State: 42:[14, 3], Operations: ['82-68=14', '54/18=3'] Exploring Operation: 14*3=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 2, 32, 22, 86 ]
81
[ "32-22=10", "10/2=5", "86-5=81" ]
Current State: 81:[2, 32, 22, 86], Operations: [] Exploring Operation: 32-22=10, Resulting Numbers: [2, 86, 10] Generated Node #2: [2, 86, 10] from Operation: 32-22=10 Current State: 81:[2, 86, 10], Operations: ['32-22=10'] Exploring Operation: 10/2=5, Resulting Numbers: [86, 5] Generated Node #3: [86, 5] from Operation: 10/2=5 Current State: 81:[86, 5], Operations: ['32-22=10', '10/2=5'] Exploring Operation: 86-5=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 44, 33, 81, 16 ]
64
[ "44+33=77", "81-77=4", "16*4=64" ]
Current State: 64:[44, 33, 81, 16], Operations: [] Exploring Operation: 44+33=77, Resulting Numbers: [81, 16, 77] Generated Node #2: [81, 16, 77] from Operation: 44+33=77 Current State: 64:[81, 16, 77], Operations: ['44+33=77'] Exploring Operation: 81-77=4, Resulting Numbers: [16, 4] Generated Node #3: [16, 4] from Operation: 81-77=4 Current State: 64:[16, 4], Operations: ['44+33=77', '81-77=4'] Exploring Operation: 16*4=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 47, 51, 59, 73 ]
84
[ "47+51=98", "73-59=14", "98-14=84" ]
Current State: 84:[47, 51, 59, 73], Operations: [] Exploring Operation: 47+51=98, Resulting Numbers: [59, 73, 98] Generated Node #2: [59, 73, 98] from Operation: 47+51=98 Current State: 84:[59, 73, 98], Operations: ['47+51=98'] Exploring Operation: 73-59=14, Resulting Numbers: [98, 14] Generated Node #3: [98, 14] from Operation: 73-59=14 Current State: 84:[98, 14], Operations: ['47+51=98', '73-59=14'] Exploring Operation: 98-14=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 34, 44, 22, 80 ]
47
[ "22+80=102", "102/34=3", "44+3=47" ]
Current State: 47:[34, 44, 22, 80], Operations: [] Exploring Operation: 22+80=102, Resulting Numbers: [34, 44, 102] Generated Node #2: [34, 44, 102] from Operation: 22+80=102 Current State: 47:[34, 44, 102], Operations: ['22+80=102'] Exploring Operation: 102/34=3, Resulting Numbers: [44, 3] Generated Node #3: [44, 3] from Operation: 102/34=3 Current State: 47:[44, 3], Operations: ['22+80=102', '102/34=3'] Exploring Operation: 44+3=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 63, 98, 27, 49 ]
45
[ "63+27=90", "98/49=2", "90/2=45" ]
Current State: 45:[63, 98, 27, 49], Operations: [] Exploring Operation: 63+27=90, Resulting Numbers: [98, 49, 90] Generated Node #2: [98, 49, 90] from Operation: 63+27=90 Current State: 45:[98, 49, 90], Operations: ['63+27=90'] Exploring Operation: 98/49=2, Resulting Numbers: [90, 2] Generated Node #3: [90, 2] from Operation: 98/49=2 Current State: 45:[90, 2], Operations: ['63+27=90', '98/49=2'] Exploring Operation: 90/2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 66, 24, 89, 95 ]
15
[ "66+24=90", "95-89=6", "90/6=15" ]
Current State: 15:[66, 24, 89, 95], Operations: [] Exploring Operation: 66+24=90, Resulting Numbers: [89, 95, 90] Generated Node #2: [89, 95, 90] from Operation: 66+24=90 Current State: 15:[89, 95, 90], Operations: ['66+24=90'] Exploring Operation: 95-89=6, Resulting Numbers: [90, 6] Generated Node #3: [90, 6] from Operation: 95-89=6 Current State: 15:[90, 6], Operations: ['66+24=90', '95-89=6'] Exploring Operation: 90/6=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 20, 4, 76, 92 ]
80
[ "20/4=5", "92-76=16", "5*16=80" ]
Current State: 80:[20, 4, 76, 92], Operations: [] Exploring Operation: 20/4=5, Resulting Numbers: [76, 92, 5] Generated Node #2: [76, 92, 5] from Operation: 20/4=5 Current State: 80:[76, 92, 5], Operations: ['20/4=5'] Exploring Operation: 92-76=16, Resulting Numbers: [5, 16] Generated Node #3: [5, 16] from Operation: 92-76=16 Current State: 80:[5, 16], Operations: ['20/4=5', '92-76=16'] Exploring Operation: 5*16=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 23, 12, 3, 44 ]
36
[ "23-12=11", "3+44=47", "47-11=36" ]
Current State: 36:[23, 12, 3, 44], Operations: [] Exploring Operation: 23-12=11, Resulting Numbers: [3, 44, 11] Generated Node #2: [3, 44, 11] from Operation: 23-12=11 Current State: 36:[3, 44, 11], Operations: ['23-12=11'] Exploring Operation: 3+44=47, Resulting Numbers: [11, 47] Generated Node #3: [11, 47] from Operation: 3+44=47 Current State: 36:[11, 47], Operations: ['23-12=11', '3+44=47'] Exploring Operation: 47-11=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 36, 52, 26, 10 ]
16
[ "52/26=2", "10*2=20", "36-20=16" ]
Current State: 16:[36, 52, 26, 10], Operations: [] Exploring Operation: 52/26=2, Resulting Numbers: [36, 10, 2] Generated Node #2: [36, 10, 2] from Operation: 52/26=2 Current State: 16:[36, 10, 2], Operations: ['52/26=2'] Exploring Operation: 10*2=20, Resulting Numbers: [36, 20] Generated Node #3: [36, 20] from Operation: 10*2=20 Current State: 16:[36, 20], Operations: ['52/26=2', '10*2=20'] Exploring Operation: 36-20=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 53, 28, 16, 50 ]
76
[ "53-50=3", "16*3=48", "28+48=76" ]
Current State: 76:[53, 28, 16, 50], Operations: [] Exploring Operation: 53-50=3, Resulting Numbers: [28, 16, 3] Generated Node #2: [28, 16, 3] from Operation: 53-50=3 Current State: 76:[28, 16, 3], Operations: ['53-50=3'] Exploring Operation: 16*3=48, Resulting Numbers: [28, 48] Generated Node #3: [28, 48] from Operation: 16*3=48 Current State: 76:[28, 48], Operations: ['53-50=3', '16*3=48'] Exploring Operation: 28+48=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 2, 33, 25, 80 ]
48
[ "80/2=40", "33-25=8", "40+8=48" ]
Current State: 48:[2, 33, 25, 80], Operations: [] Exploring Operation: 80/2=40, Resulting Numbers: [33, 25, 40] Generated Node #2: [33, 25, 40] from Operation: 80/2=40 Current State: 48:[33, 25, 40], Operations: ['80/2=40'] Exploring Operation: 33-25=8, Resulting Numbers: [40, 8] Generated Node #3: [40, 8] from Operation: 33-25=8 Current State: 48:[40, 8], Operations: ['80/2=40', '33-25=8'] Exploring Operation: 40+8=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 3, 11, 20, 17 ]
36
[ "3*11=33", "20-17=3", "33+3=36" ]
Current State: 36:[3, 11, 20, 17], Operations: [] Exploring Operation: 3*11=33, Resulting Numbers: [20, 17, 33] Generated Node #2: [20, 17, 33] from Operation: 3*11=33 Current State: 36:[20, 17, 33], Operations: ['3*11=33'] Exploring Operation: 20-17=3, Resulting Numbers: [33, 3] Generated Node #3: [33, 3] from Operation: 20-17=3 Current State: 36:[33, 3], Operations: ['3*11=33', '20-17=3'] Exploring Operation: 33+3=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 87, 37, 72, 35 ]
51
[ "37-35=2", "72/2=36", "87-36=51" ]
Current State: 51:[87, 37, 72, 35], Operations: [] Exploring Operation: 37-35=2, Resulting Numbers: [87, 72, 2] Generated Node #2: [87, 72, 2] from Operation: 37-35=2 Current State: 51:[87, 72, 2], Operations: ['37-35=2'] Exploring Operation: 72/2=36, Resulting Numbers: [87, 36] Generated Node #3: [87, 36] from Operation: 72/2=36 Current State: 51:[87, 36], Operations: ['37-35=2', '72/2=36'] Exploring Operation: 87-36=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 17, 69, 43, 42 ]
87
[ "17+69=86", "43-42=1", "86+1=87" ]
Current State: 87:[17, 69, 43, 42], Operations: [] Exploring Operation: 17+69=86, Resulting Numbers: [43, 42, 86] Generated Node #2: [43, 42, 86] from Operation: 17+69=86 Current State: 87:[43, 42, 86], Operations: ['17+69=86'] Exploring Operation: 43-42=1, Resulting Numbers: [86, 1] Generated Node #3: [86, 1] from Operation: 43-42=1 Current State: 87:[86, 1], Operations: ['17+69=86', '43-42=1'] Exploring Operation: 86+1=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 31, 21, 26, 38 ]
64
[ "31+21=52", "38-26=12", "52+12=64" ]
Current State: 64:[31, 21, 26, 38], Operations: [] Exploring Operation: 31+21=52, Resulting Numbers: [26, 38, 52] Generated Node #2: [26, 38, 52] from Operation: 31+21=52 Current State: 64:[26, 38, 52], Operations: ['31+21=52'] Exploring Operation: 38-26=12, Resulting Numbers: [52, 12] Generated Node #3: [52, 12] from Operation: 38-26=12 Current State: 64:[52, 12], Operations: ['31+21=52', '38-26=12'] Exploring Operation: 52+12=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 42, 71, 9, 63 ]
59
[ "42+71=113", "63-9=54", "113-54=59" ]
Current State: 59:[42, 71, 9, 63], Operations: [] Exploring Operation: 42+71=113, Resulting Numbers: [9, 63, 113] Generated Node #2: [9, 63, 113] from Operation: 42+71=113 Current State: 59:[9, 63, 113], Operations: ['42+71=113'] Exploring Operation: 63-9=54, Resulting Numbers: [113, 54] Generated Node #3: [113, 54] from Operation: 63-9=54 Current State: 59:[113, 54], Operations: ['42+71=113', '63-9=54'] Exploring Operation: 113-54=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 80, 88, 33, 88 ]
47
[ "80+88=168", "33+88=121", "168-121=47" ]
Current State: 47:[80, 88, 33, 88], Operations: [] Exploring Operation: 80+88=168, Resulting Numbers: [33, 168] Generated Node #2: [33, 168] from Operation: 80+88=168 Current State: 47:[33, 168], Operations: ['80+88=168'] Exploring Operation: 33+88=121, Resulting Numbers: [168, 121] Generated Node #3: [168, 121] from Operation: 33+88=121 Current State: 47:[168, 121], Operations: ['80+88=168', '33+88=121'] Exploring Operation: 168-121=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 95, 35, 92, 46 ]
14
[ "95-35=60", "92-46=46", "60-46=14" ]
Current State: 14:[95, 35, 92, 46], Operations: [] Exploring Operation: 95-35=60, Resulting Numbers: [92, 46, 60] Generated Node #2: [92, 46, 60] from Operation: 95-35=60 Current State: 14:[92, 46, 60], Operations: ['95-35=60'] Exploring Operation: 92-46=46, Resulting Numbers: [60, 46] Generated Node #3: [60, 46] from Operation: 92-46=46 Current State: 14:[60, 46], Operations: ['95-35=60', '92-46=46'] Exploring Operation: 60-46=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 47, 32, 4, 10 ]
94
[ "32/4=8", "10-8=2", "47*2=94" ]
Current State: 94:[47, 32, 4, 10], Operations: [] Exploring Operation: 32/4=8, Resulting Numbers: [47, 10, 8] Generated Node #2: [47, 10, 8] from Operation: 32/4=8 Current State: 94:[47, 10, 8], Operations: ['32/4=8'] Exploring Operation: 10-8=2, Resulting Numbers: [47, 2] Generated Node #3: [47, 2] from Operation: 10-8=2 Current State: 94:[47, 2], Operations: ['32/4=8', '10-8=2'] Exploring Operation: 47*2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 56, 71, 9, 50 ]
86
[ "56+71=127", "50-9=41", "127-41=86" ]
Current State: 86:[56, 71, 9, 50], Operations: [] Exploring Operation: 56+71=127, Resulting Numbers: [9, 50, 127] Generated Node #2: [9, 50, 127] from Operation: 56+71=127 Current State: 86:[9, 50, 127], Operations: ['56+71=127'] Exploring Operation: 50-9=41, Resulting Numbers: [127, 41] Generated Node #3: [127, 41] from Operation: 50-9=41 Current State: 86:[127, 41], Operations: ['56+71=127', '50-9=41'] Exploring Operation: 127-41=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 65, 4, 50, 1 ]
10
[ "65-4=61", "50+1=51", "61-51=10" ]
Current State: 10:[65, 4, 50, 1], Operations: [] Exploring Operation: 65-4=61, Resulting Numbers: [50, 1, 61] Generated Node #2: [50, 1, 61] from Operation: 65-4=61 Current State: 10:[50, 1, 61], Operations: ['65-4=61'] Exploring Operation: 50+1=51, Resulting Numbers: [61, 51] Generated Node #3: [61, 51] from Operation: 50+1=51 Current State: 10:[61, 51], Operations: ['65-4=61', '50+1=51'] Exploring Operation: 61-51=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 13, 13, 28, 93 ]
65
[ "13-13=0", "93-28=65", "0+65=65" ]
Current State: 65:[13, 13, 28, 93], Operations: [] Exploring Operation: 13-13=0, Resulting Numbers: [28, 93, 0] Generated Node #2: [28, 93, 0] from Operation: 13-13=0 Current State: 65:[28, 93, 0], Operations: ['13-13=0'] Exploring Operation: 93-28=65, Resulting Numbers: [0, 65] Generated Node #3: [0, 65] from Operation: 93-28=65 Current State: 65:[0, 65], Operations: ['13-13=0', '93-28=65'] Exploring Operation: 0+65=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 13, 25, 85, 22 ]
96
[ "25*85=2125", "2125-13=2112", "2112/22=96" ]
Current State: 96:[13, 25, 85, 22], Operations: [] Exploring Operation: 25*85=2125, Resulting Numbers: [13, 22, 2125] Generated Node #2: [13, 22, 2125] from Operation: 25*85=2125 Current State: 96:[13, 22, 2125], Operations: ['25*85=2125'] Exploring Operation: 2125-13=2112, Resulting Numbers: [22, 2112] Generated Node #3: [22, 2112] from Operation: 2125-13=2112 Current State: 96:[22, 2112], Operations: ['25*85=2125', '2125-13=2112'] Exploring Operation: 2112/22=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 96, 55, 4, 35 ]
99
[ "96-55=41", "4*35=140", "140-41=99" ]
Current State: 99:[96, 55, 4, 35], Operations: [] Exploring Operation: 96-55=41, Resulting Numbers: [4, 35, 41] Generated Node #2: [4, 35, 41] from Operation: 96-55=41 Current State: 99:[4, 35, 41], Operations: ['96-55=41'] Exploring Operation: 4*35=140, Resulting Numbers: [41, 140] Generated Node #3: [41, 140] from Operation: 4*35=140 Current State: 99:[41, 140], Operations: ['96-55=41', '4*35=140'] Exploring Operation: 140-41=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 73, 12, 33, 59 ]
22
[ "73+59=132", "132/12=11", "33-11=22" ]
Current State: 22:[73, 12, 33, 59], Operations: [] Exploring Operation: 73+59=132, Resulting Numbers: [12, 33, 132] Generated Node #2: [12, 33, 132] from Operation: 73+59=132 Current State: 22:[12, 33, 132], Operations: ['73+59=132'] Exploring Operation: 132/12=11, Resulting Numbers: [33, 11] Generated Node #3: [33, 11] from Operation: 132/12=11 Current State: 22:[33, 11], Operations: ['73+59=132', '132/12=11'] Exploring Operation: 33-11=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 85, 83, 14, 82 ]
99
[ "85+14=99", "83-82=1", "99*1=99" ]
Current State: 99:[85, 83, 14, 82], Operations: [] Exploring Operation: 85+14=99, Resulting Numbers: [83, 82, 99] Generated Node #2: [83, 82, 99] from Operation: 85+14=99 Current State: 99:[83, 82, 99], Operations: ['85+14=99'] Exploring Operation: 83-82=1, Resulting Numbers: [99, 1] Generated Node #3: [99, 1] from Operation: 83-82=1 Current State: 99:[99, 1], Operations: ['85+14=99', '83-82=1'] Exploring Operation: 99*1=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 60, 62, 11, 90 ]
10
[ "62-60=2", "11-2=9", "90/9=10" ]
Current State: 10:[60, 62, 11, 90], Operations: [] Exploring Operation: 62-60=2, Resulting Numbers: [11, 90, 2] Generated Node #2: [11, 90, 2] from Operation: 62-60=2 Current State: 10:[11, 90, 2], Operations: ['62-60=2'] Exploring Operation: 11-2=9, Resulting Numbers: [90, 9] Generated Node #3: [90, 9] from Operation: 11-2=9 Current State: 10:[90, 9], Operations: ['62-60=2', '11-2=9'] Exploring Operation: 90/9=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 64, 18, 20, 85 ]
18
[ "64+20=84", "85-84=1", "18*1=18" ]
Current State: 18:[64, 18, 20, 85], Operations: [] Exploring Operation: 64+20=84, Resulting Numbers: [18, 85, 84] Generated Node #2: [18, 85, 84] from Operation: 64+20=84 Current State: 18:[18, 85, 84], Operations: ['64+20=84'] Exploring Operation: 85-84=1, Resulting Numbers: [18, 1] Generated Node #3: [18, 1] from Operation: 85-84=1 Current State: 18:[18, 1], Operations: ['64+20=84', '85-84=1'] Exploring Operation: 18*1=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 87, 96, 65, 19 ]
37
[ "96-87=9", "65-19=46", "46-9=37" ]
Current State: 37:[87, 96, 65, 19], Operations: [] Exploring Operation: 96-87=9, Resulting Numbers: [65, 19, 9] Generated Node #2: [65, 19, 9] from Operation: 96-87=9 Current State: 37:[65, 19, 9], Operations: ['96-87=9'] Exploring Operation: 65-19=46, Resulting Numbers: [9, 46] Generated Node #3: [9, 46] from Operation: 65-19=46 Current State: 37:[9, 46], Operations: ['96-87=9', '65-19=46'] Exploring Operation: 46-9=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 62, 56, 57, 58 ]
64
[ "56+58=114", "114/57=2", "62+2=64" ]
Current State: 64:[62, 56, 57, 58], Operations: [] Exploring Operation: 56+58=114, Resulting Numbers: [62, 57, 114] Generated Node #2: [62, 57, 114] from Operation: 56+58=114 Current State: 64:[62, 57, 114], Operations: ['56+58=114'] Exploring Operation: 114/57=2, Resulting Numbers: [62, 2] Generated Node #3: [62, 2] from Operation: 114/57=2 Current State: 64:[62, 2], Operations: ['56+58=114', '114/57=2'] Exploring Operation: 62+2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 88, 24, 73, 90 ]
99
[ "88-24=64", "73+90=163", "163-64=99" ]
Current State: 99:[88, 24, 73, 90], Operations: [] Exploring Operation: 88-24=64, Resulting Numbers: [73, 90, 64] Generated Node #2: [73, 90, 64] from Operation: 88-24=64 Current State: 99:[73, 90, 64], Operations: ['88-24=64'] Exploring Operation: 73+90=163, Resulting Numbers: [64, 163] Generated Node #3: [64, 163] from Operation: 73+90=163 Current State: 99:[64, 163], Operations: ['88-24=64', '73+90=163'] Exploring Operation: 163-64=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 94, 78, 17, 69 ]
69
[ "94-78=16", "17-16=1", "69*1=69" ]
Current State: 69:[94, 78, 17, 69], Operations: [] Exploring Operation: 94-78=16, Resulting Numbers: [17, 69, 16] Generated Node #2: [17, 69, 16] from Operation: 94-78=16 Current State: 69:[17, 69, 16], Operations: ['94-78=16'] Exploring Operation: 17-16=1, Resulting Numbers: [69, 1] Generated Node #3: [69, 1] from Operation: 17-16=1 Current State: 69:[69, 1], Operations: ['94-78=16', '17-16=1'] Exploring Operation: 69*1=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 47, 5, 8, 32 ]
38
[ "47-5=42", "32/8=4", "42-4=38" ]
Current State: 38:[47, 5, 8, 32], Operations: [] Exploring Operation: 47-5=42, Resulting Numbers: [8, 32, 42] Generated Node #2: [8, 32, 42] from Operation: 47-5=42 Current State: 38:[8, 32, 42], Operations: ['47-5=42'] Exploring Operation: 32/8=4, Resulting Numbers: [42, 4] Generated Node #3: [42, 4] from Operation: 32/8=4 Current State: 38:[42, 4], Operations: ['47-5=42', '32/8=4'] Exploring Operation: 42-4=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 37, 38, 57, 82 ]
25
[ "38-37=1", "82-57=25", "1*25=25" ]
Current State: 25:[37, 38, 57, 82], Operations: [] Exploring Operation: 38-37=1, Resulting Numbers: [57, 82, 1] Generated Node #2: [57, 82, 1] from Operation: 38-37=1 Current State: 25:[57, 82, 1], Operations: ['38-37=1'] Exploring Operation: 82-57=25, Resulting Numbers: [1, 25] Generated Node #3: [1, 25] from Operation: 82-57=25 Current State: 25:[1, 25], Operations: ['38-37=1', '82-57=25'] Exploring Operation: 1*25=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 17, 31, 71, 48 ]
42
[ "31+71=102", "102/17=6", "48-6=42" ]
Current State: 42:[17, 31, 71, 48], Operations: [] Exploring Operation: 31+71=102, Resulting Numbers: [17, 48, 102] Generated Node #2: [17, 48, 102] from Operation: 31+71=102 Current State: 42:[17, 48, 102], Operations: ['31+71=102'] Exploring Operation: 102/17=6, Resulting Numbers: [48, 6] Generated Node #3: [48, 6] from Operation: 102/17=6 Current State: 42:[48, 6], Operations: ['31+71=102', '102/17=6'] Exploring Operation: 48-6=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 91, 41, 45, 2 ]
48
[ "41+45=86", "86/2=43", "91-43=48" ]
Current State: 48:[91, 41, 45, 2], Operations: [] Exploring Operation: 41+45=86, Resulting Numbers: [91, 2, 86] Generated Node #2: [91, 2, 86] from Operation: 41+45=86 Current State: 48:[91, 2, 86], Operations: ['41+45=86'] Exploring Operation: 86/2=43, Resulting Numbers: [91, 43] Generated Node #3: [91, 43] from Operation: 86/2=43 Current State: 48:[91, 43], Operations: ['41+45=86', '86/2=43'] Exploring Operation: 91-43=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 42, 93, 4, 29 ]
41
[ "42+93=135", "29+135=164", "164/4=41" ]
Current State: 41:[42, 93, 4, 29], Operations: [] Exploring Operation: 42+93=135, Resulting Numbers: [4, 29, 135] Generated Node #2: [4, 29, 135] from Operation: 42+93=135 Current State: 41:[4, 29, 135], Operations: ['42+93=135'] Exploring Operation: 29+135=164, Resulting Numbers: [4, 164] Generated Node #3: [4, 164] from Operation: 29+135=164 Current State: 41:[4, 164], Operations: ['42+93=135', '29+135=164'] Exploring Operation: 164/4=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 5, 59, 49, 8 ]
16
[ "59-49=10", "10/5=2", "8*2=16" ]
Current State: 16:[5, 59, 49, 8], Operations: [] Exploring Operation: 59-49=10, Resulting Numbers: [5, 8, 10] Generated Node #2: [5, 8, 10] from Operation: 59-49=10 Current State: 16:[5, 8, 10], Operations: ['59-49=10'] Exploring Operation: 10/5=2, Resulting Numbers: [8, 2] Generated Node #3: [8, 2] from Operation: 10/5=2 Current State: 16:[8, 2], Operations: ['59-49=10', '10/5=2'] Exploring Operation: 8*2=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 54, 56, 20, 29 ]
22
[ "56-29=27", "54/27=2", "20+2=22" ]
Current State: 22:[54, 56, 20, 29], Operations: [] Exploring Operation: 56-29=27, Resulting Numbers: [54, 20, 27] Generated Node #2: [54, 20, 27] from Operation: 56-29=27 Current State: 22:[54, 20, 27], Operations: ['56-29=27'] Exploring Operation: 54/27=2, Resulting Numbers: [20, 2] Generated Node #3: [20, 2] from Operation: 54/27=2 Current State: 22:[20, 2], Operations: ['56-29=27', '54/27=2'] Exploring Operation: 20+2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 3, 47, 96, 77 ]
42
[ "96-47=49", "77+49=126", "126/3=42" ]
Current State: 42:[3, 47, 96, 77], Operations: [] Exploring Operation: 96-47=49, Resulting Numbers: [3, 77, 49] Generated Node #2: [3, 77, 49] from Operation: 96-47=49 Current State: 42:[3, 77, 49], Operations: ['96-47=49'] Exploring Operation: 77+49=126, Resulting Numbers: [3, 126] Generated Node #3: [3, 126] from Operation: 77+49=126 Current State: 42:[3, 126], Operations: ['96-47=49', '77+49=126'] Exploring Operation: 126/3=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 5, 73, 73, 17 ]
77
[ "73-5=68", "68/17=4", "73+4=77" ]
Current State: 77:[5, 73, 73, 17], Operations: [] Exploring Operation: 73-5=68, Resulting Numbers: [17, 68] Generated Node #2: [17, 68] from Operation: 73-5=68 Current State: 77:[17, 68], Operations: ['73-5=68'] Exploring Operation: 68/17=4, Resulting Numbers: [4] 4,77 equal: Goal Reached Exploring Operation: 73+4=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 88, 10, 47, 12 ]
15
[ "88+47=135", "10*12=120", "135-120=15" ]
Current State: 15:[88, 10, 47, 12], Operations: [] Exploring Operation: 88+47=135, Resulting Numbers: [10, 12, 135] Generated Node #2: [10, 12, 135] from Operation: 88+47=135 Current State: 15:[10, 12, 135], Operations: ['88+47=135'] Exploring Operation: 10*12=120, Resulting Numbers: [135, 120] Generated Node #3: [135, 120] from Operation: 10*12=120 Current State: 15:[135, 120], Operations: ['88+47=135', '10*12=120'] Exploring Operation: 135-120=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4