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
[ 51, 49, 38, 95 ]
19
[ "51-49=2", "38*2=76", "95-76=19" ]
Current State: 19:[51, 49, 38, 95], Operations: [] Exploring Operation: 51-49=2, Resulting Numbers: [38, 95, 2] Generated Node #2: [38, 95, 2] from Operation: 51-49=2 Current State: 19:[38, 95, 2], Operations: ['51-49=2'] Exploring Operation: 38*2=76, Resulting Numbers: [95, 76] Generated Node #3: [95, 76] from Operation: 38*2=76 Current State: 19:[95, 76], Operations: ['51-49=2', '38*2=76'] Exploring Operation: 95-76=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 66, 81, 6, 2 ]
38
[ "81*2=162", "66+162=228", "228/6=38" ]
Current State: 38:[66, 81, 6, 2], Operations: [] Exploring Operation: 81*2=162, Resulting Numbers: [66, 6, 162] Generated Node #2: [66, 6, 162] from Operation: 81*2=162 Current State: 38:[66, 6, 162], Operations: ['81*2=162'] Exploring Operation: 66+162=228, Resulting Numbers: [6, 228] Generated Node #3: [6, 228] from Operation: 66+162=228 Current State: 38:[6, 228], Operations: ['81*2=162', '66+162=228'] Exploring Operation: 228/6=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 48, 73, 44, 92 ]
76
[ "48-44=4", "92-73=19", "4*19=76" ]
Current State: 76:[48, 73, 44, 92], Operations: [] Exploring Operation: 48-44=4, Resulting Numbers: [73, 92, 4] Generated Node #2: [73, 92, 4] from Operation: 48-44=4 Current State: 76:[73, 92, 4], Operations: ['48-44=4'] Exploring Operation: 92-73=19, Resulting Numbers: [4, 19] Generated Node #3: [4, 19] from Operation: 92-73=19 Current State: 76:[4, 19], Operations: ['48-44=4', '92-73=19'] Exploring Operation: 4*19=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 65, 97, 8, 47 ]
83
[ "65+47=112", "112/8=14", "97-14=83" ]
Current State: 83:[65, 97, 8, 47], Operations: [] Exploring Operation: 65+47=112, Resulting Numbers: [97, 8, 112] Generated Node #2: [97, 8, 112] from Operation: 65+47=112 Current State: 83:[97, 8, 112], Operations: ['65+47=112'] Exploring Operation: 112/8=14, Resulting Numbers: [97, 14] Generated Node #3: [97, 14] from Operation: 112/8=14 Current State: 83:[97, 14], Operations: ['65+47=112', '112/8=14'] Exploring Operation: 97-14=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 61, 26, 79, 93 ]
73
[ "61+26=87", "93-79=14", "87-14=73" ]
Current State: 73:[61, 26, 79, 93], Operations: [] Exploring Operation: 61+26=87, Resulting Numbers: [79, 93, 87] Generated Node #2: [79, 93, 87] from Operation: 61+26=87 Current State: 73:[79, 93, 87], Operations: ['61+26=87'] Exploring Operation: 93-79=14, Resulting Numbers: [87, 14] Generated Node #3: [87, 14] from Operation: 93-79=14 Current State: 73:[87, 14], Operations: ['61+26=87', '93-79=14'] Exploring Operation: 87-14=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 49, 42, 32, 77 ]
21
[ "49-42=7", "77/7=11", "32-11=21" ]
Current State: 21:[49, 42, 32, 77], Operations: [] Exploring Operation: 49-42=7, Resulting Numbers: [32, 77, 7] Generated Node #2: [32, 77, 7] from Operation: 49-42=7 Current State: 21:[32, 77, 7], Operations: ['49-42=7'] Exploring Operation: 77/7=11, Resulting Numbers: [32, 11] Generated Node #3: [32, 11] from Operation: 77/7=11 Current State: 21:[32, 11], Operations: ['49-42=7', '77/7=11'] Exploring Operation: 32-11=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 48, 48, 5, 38 ]
63
[ "48+48=96", "38-5=33", "96-33=63" ]
Current State: 63:[48, 48, 5, 38], Operations: [] Exploring Operation: 48+48=96, Resulting Numbers: [5, 38, 96] Generated Node #2: [5, 38, 96] from Operation: 48+48=96 Current State: 63:[5, 38, 96], Operations: ['48+48=96'] Exploring Operation: 38-5=33, Resulting Numbers: [96, 33] Generated Node #3: [96, 33] from Operation: 38-5=33 Current State: 63:[96, 33], Operations: ['48+48=96', '38-5=33'] Exploring Operation: 96-33=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 32, 17, 48, 46 ]
86
[ "48*46=2208", "2208/32=69", "17+69=86" ]
Current State: 86:[32, 17, 48, 46], Operations: [] Exploring Operation: 48*46=2208, Resulting Numbers: [32, 17, 2208] Generated Node #2: [32, 17, 2208] from Operation: 48*46=2208 Current State: 86:[32, 17, 2208], Operations: ['48*46=2208'] Exploring Operation: 2208/32=69, Resulting Numbers: [17, 69] Generated Node #3: [17, 69] from Operation: 2208/32=69 Current State: 86:[17, 69], Operations: ['48*46=2208', '2208/32=69'] Exploring Operation: 17+69=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 28, 6, 76, 2 ]
93
[ "28+6=34", "34/2=17", "76+17=93" ]
Current State: 93:[28, 6, 76, 2], Operations: [] Exploring Operation: 28+6=34, Resulting Numbers: [76, 2, 34] Generated Node #2: [76, 2, 34] from Operation: 28+6=34 Current State: 93:[76, 2, 34], Operations: ['28+6=34'] Exploring Operation: 34/2=17, Resulting Numbers: [76, 17] Generated Node #3: [76, 17] from Operation: 34/2=17 Current State: 93:[76, 17], Operations: ['28+6=34', '34/2=17'] Exploring Operation: 76+17=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 16, 54, 21, 2 ]
71
[ "16+21=37", "54*2=108", "108-37=71" ]
Current State: 71:[16, 54, 21, 2], Operations: [] Exploring Operation: 16+21=37, Resulting Numbers: [54, 2, 37] Generated Node #2: [54, 2, 37] from Operation: 16+21=37 Current State: 71:[54, 2, 37], Operations: ['16+21=37'] Exploring Operation: 54*2=108, Resulting Numbers: [37, 108] Generated Node #3: [37, 108] from Operation: 54*2=108 Current State: 71:[37, 108], Operations: ['16+21=37', '54*2=108'] Exploring Operation: 108-37=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 89, 27, 7, 92 ]
60
[ "92-89=3", "27-7=20", "3*20=60" ]
Current State: 60:[89, 27, 7, 92], Operations: [] Exploring Operation: 92-89=3, Resulting Numbers: [27, 7, 3] Generated Node #2: [27, 7, 3] from Operation: 92-89=3 Current State: 60:[27, 7, 3], Operations: ['92-89=3'] Exploring Operation: 27-7=20, Resulting Numbers: [3, 20] Generated Node #3: [3, 20] from Operation: 27-7=20 Current State: 60:[3, 20], Operations: ['92-89=3', '27-7=20'] Exploring Operation: 3*20=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 45, 92, 4, 37 ]
23
[ "45-4=41", "41-37=4", "92/4=23" ]
Current State: 23:[45, 92, 4, 37], Operations: [] Exploring Operation: 45-4=41, Resulting Numbers: [92, 37, 41] Generated Node #2: [92, 37, 41] from Operation: 45-4=41 Current State: 23:[92, 37, 41], Operations: ['45-4=41'] Exploring Operation: 41-37=4, Resulting Numbers: [92, 4] Generated Node #3: [92, 4] from Operation: 41-37=4 Current State: 23:[92, 4], Operations: ['45-4=41', '41-37=4'] Exploring Operation: 92/4=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 50, 2, 48, 33 ]
64
[ "50-48=2", "2*33=66", "66-2=64" ]
Current State: 64:[50, 2, 48, 33], Operations: [] Exploring Operation: 50-48=2, Resulting Numbers: [2, 33, 2] Generated Node #2: [2, 33, 2] from Operation: 50-48=2 Current State: 64:[2, 33, 2], Operations: ['50-48=2'] Exploring Operation: 2*33=66, Resulting Numbers: [66] 66,64 equal: Goal Reached Exploring Operation: 66-2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 48, 26, 96, 44 ]
31
[ "48*26=1248", "1248/96=13", "44-13=31" ]
Current State: 31:[48, 26, 96, 44], Operations: [] Exploring Operation: 48*26=1248, Resulting Numbers: [96, 44, 1248] Generated Node #2: [96, 44, 1248] from Operation: 48*26=1248 Current State: 31:[96, 44, 1248], Operations: ['48*26=1248'] Exploring Operation: 1248/96=13, Resulting Numbers: [44, 13] Generated Node #3: [44, 13] from Operation: 1248/96=13 Current State: 31:[44, 13], Operations: ['48*26=1248', '1248/96=13'] Exploring Operation: 44-13=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 68, 97, 52, 32 ]
61
[ "97*32=3104", "68+3104=3172", "3172/52=61" ]
Current State: 61:[68, 97, 52, 32], Operations: [] Exploring Operation: 97*32=3104, Resulting Numbers: [68, 52, 3104] Generated Node #2: [68, 52, 3104] from Operation: 97*32=3104 Current State: 61:[68, 52, 3104], Operations: ['97*32=3104'] Exploring Operation: 68+3104=3172, Resulting Numbers: [52, 3172] Generated Node #3: [52, 3172] from Operation: 68+3104=3172 Current State: 61:[52, 3172], Operations: ['97*32=3104', '68+3104=3172'] Exploring Operation: 3172/52=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 75, 45, 45, 45 ]
73
[ "45+45=90", "90/45=2", "75-2=73" ]
Current State: 73:[75, 45, 45, 45], Operations: [] Exploring Operation: 45+45=90, Resulting Numbers: [75, 90] Generated Node #2: [75, 90] from Operation: 45+45=90 Current State: 73:[75, 90], Operations: ['45+45=90'] Exploring Operation: 90/45=2, Resulting Numbers: [75, 2] Generated Node #3: [75, 2] from Operation: 90/45=2 Current State: 73:[75, 2], Operations: ['45+45=90', '90/45=2'] Exploring Operation: 75-2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 87, 88, 73, 32 ]
42
[ "88-87=1", "73-32=41", "1+41=42" ]
Current State: 42:[87, 88, 73, 32], Operations: [] Exploring Operation: 88-87=1, Resulting Numbers: [73, 32, 1] Generated Node #2: [73, 32, 1] from Operation: 88-87=1 Current State: 42:[73, 32, 1], Operations: ['88-87=1'] Exploring Operation: 73-32=41, Resulting Numbers: [1, 41] Generated Node #3: [1, 41] from Operation: 73-32=41 Current State: 42:[1, 41], Operations: ['88-87=1', '73-32=41'] Exploring Operation: 1+41=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 1, 22, 68, 66 ]
46
[ "1+22=23", "68-66=2", "23*2=46" ]
Current State: 46:[1, 22, 68, 66], Operations: [] Exploring Operation: 1+22=23, Resulting Numbers: [68, 66, 23] Generated Node #2: [68, 66, 23] from Operation: 1+22=23 Current State: 46:[68, 66, 23], Operations: ['1+22=23'] Exploring Operation: 68-66=2, Resulting Numbers: [23, 2] Generated Node #3: [23, 2] from Operation: 68-66=2 Current State: 46:[23, 2], Operations: ['1+22=23', '68-66=2'] Exploring Operation: 23*2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 23, 94, 47, 69 ]
94
[ "94-23=71", "71-69=2", "47*2=94" ]
Current State: 94:[23, 94, 47, 69], Operations: [] Exploring Operation: 94-23=71, Resulting Numbers: [47, 69, 71] Generated Node #2: [47, 69, 71] from Operation: 94-23=71 Current State: 94:[47, 69, 71], Operations: ['94-23=71'] Exploring Operation: 71-69=2, Resulting Numbers: [47, 2] Generated Node #3: [47, 2] from Operation: 71-69=2 Current State: 94:[47, 2], Operations: ['94-23=71', '71-69=2'] Exploring Operation: 47*2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 69, 2, 94, 12 ]
61
[ "2+94=96", "96/12=8", "69-8=61" ]
Current State: 61:[69, 2, 94, 12], Operations: [] Exploring Operation: 2+94=96, Resulting Numbers: [69, 12, 96] Generated Node #2: [69, 12, 96] from Operation: 2+94=96 Current State: 61:[69, 12, 96], Operations: ['2+94=96'] Exploring Operation: 96/12=8, Resulting Numbers: [69, 8] Generated Node #3: [69, 8] from Operation: 96/12=8 Current State: 61:[69, 8], Operations: ['2+94=96', '96/12=8'] Exploring Operation: 69-8=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 14, 97, 5, 89 ]
78
[ "14*5=70", "97-89=8", "70+8=78" ]
Current State: 78:[14, 97, 5, 89], Operations: [] Exploring Operation: 14*5=70, Resulting Numbers: [97, 89, 70] Generated Node #2: [97, 89, 70] from Operation: 14*5=70 Current State: 78:[97, 89, 70], Operations: ['14*5=70'] Exploring Operation: 97-89=8, Resulting Numbers: [70, 8] Generated Node #3: [70, 8] from Operation: 97-89=8 Current State: 78:[70, 8], Operations: ['14*5=70', '97-89=8'] Exploring Operation: 70+8=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 48, 69, 52, 56 ]
81
[ "56-52=4", "48/4=12", "69+12=81" ]
Current State: 81:[48, 69, 52, 56], Operations: [] Exploring Operation: 56-52=4, Resulting Numbers: [48, 69, 4] Generated Node #2: [48, 69, 4] from Operation: 56-52=4 Current State: 81:[48, 69, 4], Operations: ['56-52=4'] Exploring Operation: 48/4=12, Resulting Numbers: [69, 12] Generated Node #3: [69, 12] from Operation: 48/4=12 Current State: 81:[69, 12], Operations: ['56-52=4', '48/4=12'] Exploring Operation: 69+12=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 70, 35, 2, 42 ]
86
[ "70/35=2", "2*42=84", "2+84=86" ]
Current State: 86:[70, 35, 2, 42], Operations: [] Exploring Operation: 70/35=2, Resulting Numbers: [2, 42, 2] Generated Node #2: [2, 42, 2] from Operation: 70/35=2 Current State: 86:[2, 42, 2], Operations: ['70/35=2'] Exploring Operation: 2*42=84, Resulting Numbers: [84] 84,86 equal: Goal Reached Exploring Operation: 2+84=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 95, 77, 42, 88 ]
42
[ "95+77=172", "42+88=130", "172-130=42" ]
Current State: 42:[95, 77, 42, 88], Operations: [] Exploring Operation: 95+77=172, Resulting Numbers: [42, 88, 172] Generated Node #2: [42, 88, 172] from Operation: 95+77=172 Current State: 42:[42, 88, 172], Operations: ['95+77=172'] Exploring Operation: 42+88=130, Resulting Numbers: [172, 130] Generated Node #3: [172, 130] from Operation: 42+88=130 Current State: 42:[172, 130], Operations: ['95+77=172', '42+88=130'] Exploring Operation: 172-130=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 3, 11, 23, 6 ]
75
[ "23-11=12", "6*12=72", "3+72=75" ]
Current State: 75:[3, 11, 23, 6], Operations: [] Exploring Operation: 23-11=12, Resulting Numbers: [3, 6, 12] Generated Node #2: [3, 6, 12] from Operation: 23-11=12 Current State: 75:[3, 6, 12], Operations: ['23-11=12'] Exploring Operation: 6*12=72, Resulting Numbers: [3, 72] Generated Node #3: [3, 72] from Operation: 6*12=72 Current State: 75:[3, 72], Operations: ['23-11=12', '6*12=72'] Exploring Operation: 3+72=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 95, 64, 50, 98 ]
11
[ "95+64=159", "50+98=148", "159-148=11" ]
Current State: 11:[95, 64, 50, 98], Operations: [] Exploring Operation: 95+64=159, Resulting Numbers: [50, 98, 159] Generated Node #2: [50, 98, 159] from Operation: 95+64=159 Current State: 11:[50, 98, 159], Operations: ['95+64=159'] Exploring Operation: 50+98=148, Resulting Numbers: [159, 148] Generated Node #3: [159, 148] from Operation: 50+98=148 Current State: 11:[159, 148], Operations: ['95+64=159', '50+98=148'] Exploring Operation: 159-148=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 63, 26, 30, 84 ]
25
[ "63+26=89", "30+84=114", "114-89=25" ]
Current State: 25:[63, 26, 30, 84], Operations: [] Exploring Operation: 63+26=89, Resulting Numbers: [30, 84, 89] Generated Node #2: [30, 84, 89] from Operation: 63+26=89 Current State: 25:[30, 84, 89], Operations: ['63+26=89'] Exploring Operation: 30+84=114, Resulting Numbers: [89, 114] Generated Node #3: [89, 114] from Operation: 30+84=114 Current State: 25:[89, 114], Operations: ['63+26=89', '30+84=114'] Exploring Operation: 114-89=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 35, 34, 27, 54 ]
67
[ "35+34=69", "54/27=2", "69-2=67" ]
Current State: 67:[35, 34, 27, 54], Operations: [] Exploring Operation: 35+34=69, Resulting Numbers: [27, 54, 69] Generated Node #2: [27, 54, 69] from Operation: 35+34=69 Current State: 67:[27, 54, 69], Operations: ['35+34=69'] Exploring Operation: 54/27=2, Resulting Numbers: [69, 2] Generated Node #3: [69, 2] from Operation: 54/27=2 Current State: 67:[69, 2], Operations: ['35+34=69', '54/27=2'] Exploring Operation: 69-2=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 88, 10, 2, 6 ]
56
[ "10+6=16", "2*16=32", "88-32=56" ]
Current State: 56:[88, 10, 2, 6], Operations: [] Exploring Operation: 10+6=16, Resulting Numbers: [88, 2, 16] Generated Node #2: [88, 2, 16] from Operation: 10+6=16 Current State: 56:[88, 2, 16], Operations: ['10+6=16'] Exploring Operation: 2*16=32, Resulting Numbers: [88, 32] Generated Node #3: [88, 32] from Operation: 2*16=32 Current State: 56:[88, 32], Operations: ['10+6=16', '2*16=32'] Exploring Operation: 88-32=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 87, 62, 7, 24 ]
89
[ "7+24=31", "62/31=2", "87+2=89" ]
Current State: 89:[87, 62, 7, 24], Operations: [] Exploring Operation: 7+24=31, Resulting Numbers: [87, 62, 31] Generated Node #2: [87, 62, 31] from Operation: 7+24=31 Current State: 89:[87, 62, 31], Operations: ['7+24=31'] Exploring Operation: 62/31=2, Resulting Numbers: [87, 2] Generated Node #3: [87, 2] from Operation: 62/31=2 Current State: 89:[87, 2], Operations: ['7+24=31', '62/31=2'] Exploring Operation: 87+2=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 2, 47, 94, 17 ]
62
[ "2+47=49", "94+17=111", "111-49=62" ]
Current State: 62:[2, 47, 94, 17], Operations: [] Exploring Operation: 2+47=49, Resulting Numbers: [94, 17, 49] Generated Node #2: [94, 17, 49] from Operation: 2+47=49 Current State: 62:[94, 17, 49], Operations: ['2+47=49'] Exploring Operation: 94+17=111, Resulting Numbers: [49, 111] Generated Node #3: [49, 111] from Operation: 94+17=111 Current State: 62:[49, 111], Operations: ['2+47=49', '94+17=111'] Exploring Operation: 111-49=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 35, 9, 91, 6 ]
84
[ "35+91=126", "126/9=14", "6*14=84" ]
Current State: 84:[35, 9, 91, 6], Operations: [] Exploring Operation: 35+91=126, Resulting Numbers: [9, 6, 126] Generated Node #2: [9, 6, 126] from Operation: 35+91=126 Current State: 84:[9, 6, 126], Operations: ['35+91=126'] Exploring Operation: 126/9=14, Resulting Numbers: [6, 14] Generated Node #3: [6, 14] from Operation: 126/9=14 Current State: 84:[6, 14], Operations: ['35+91=126', '126/9=14'] Exploring Operation: 6*14=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 12, 87, 20, 45 ]
34
[ "12+87=99", "20+45=65", "99-65=34" ]
Current State: 34:[12, 87, 20, 45], Operations: [] Exploring Operation: 12+87=99, Resulting Numbers: [20, 45, 99] Generated Node #2: [20, 45, 99] from Operation: 12+87=99 Current State: 34:[20, 45, 99], Operations: ['12+87=99'] Exploring Operation: 20+45=65, Resulting Numbers: [99, 65] Generated Node #3: [99, 65] from Operation: 20+45=65 Current State: 34:[99, 65], Operations: ['12+87=99', '20+45=65'] Exploring Operation: 99-65=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 33, 45, 20, 2 ]
49
[ "33+45=78", "20+78=98", "98/2=49" ]
Current State: 49:[33, 45, 20, 2], Operations: [] Exploring Operation: 33+45=78, Resulting Numbers: [20, 2, 78] Generated Node #2: [20, 2, 78] from Operation: 33+45=78 Current State: 49:[20, 2, 78], Operations: ['33+45=78'] Exploring Operation: 20+78=98, Resulting Numbers: [2, 98] Generated Node #3: [2, 98] from Operation: 20+78=98 Current State: 49:[2, 98], Operations: ['33+45=78', '20+78=98'] Exploring Operation: 98/2=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 31, 62, 22, 15 ]
73
[ "31-22=9", "15*9=135", "135-62=73" ]
Current State: 73:[31, 62, 22, 15], Operations: [] Exploring Operation: 31-22=9, Resulting Numbers: [62, 15, 9] Generated Node #2: [62, 15, 9] from Operation: 31-22=9 Current State: 73:[62, 15, 9], Operations: ['31-22=9'] Exploring Operation: 15*9=135, Resulting Numbers: [62, 135] Generated Node #3: [62, 135] from Operation: 15*9=135 Current State: 73:[62, 135], Operations: ['31-22=9', '15*9=135'] Exploring Operation: 135-62=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 18, 73, 97, 83 ]
63
[ "97+83=180", "180/18=10", "73-10=63" ]
Current State: 63:[18, 73, 97, 83], Operations: [] Exploring Operation: 97+83=180, Resulting Numbers: [18, 73, 180] Generated Node #2: [18, 73, 180] from Operation: 97+83=180 Current State: 63:[18, 73, 180], Operations: ['97+83=180'] Exploring Operation: 180/18=10, Resulting Numbers: [73, 10] Generated Node #3: [73, 10] from Operation: 180/18=10 Current State: 63:[73, 10], Operations: ['97+83=180', '180/18=10'] Exploring Operation: 73-10=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 4, 46, 37, 58 ]
40
[ "58-46=12", "12/4=3", "37+3=40" ]
Current State: 40:[4, 46, 37, 58], Operations: [] Exploring Operation: 58-46=12, Resulting Numbers: [4, 37, 12] Generated Node #2: [4, 37, 12] from Operation: 58-46=12 Current State: 40:[4, 37, 12], Operations: ['58-46=12'] Exploring Operation: 12/4=3, Resulting Numbers: [37, 3] Generated Node #3: [37, 3] from Operation: 12/4=3 Current State: 40:[37, 3], Operations: ['58-46=12', '12/4=3'] Exploring Operation: 37+3=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 20, 18, 22, 64 ]
59
[ "20*64=1280", "18+1280=1298", "1298/22=59" ]
Current State: 59:[20, 18, 22, 64], Operations: [] Exploring Operation: 20*64=1280, Resulting Numbers: [18, 22, 1280] Generated Node #2: [18, 22, 1280] from Operation: 20*64=1280 Current State: 59:[18, 22, 1280], Operations: ['20*64=1280'] Exploring Operation: 18+1280=1298, Resulting Numbers: [22, 1298] Generated Node #3: [22, 1298] from Operation: 18+1280=1298 Current State: 59:[22, 1298], Operations: ['20*64=1280', '18+1280=1298'] Exploring Operation: 1298/22=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 8, 14, 35, 10 ]
41
[ "14*35=490", "490/10=49", "49-8=41" ]
Current State: 41:[8, 14, 35, 10], Operations: [] Exploring Operation: 14*35=490, Resulting Numbers: [8, 10, 490] Generated Node #2: [8, 10, 490] from Operation: 14*35=490 Current State: 41:[8, 10, 490], Operations: ['14*35=490'] Exploring Operation: 490/10=49, Resulting Numbers: [8, 49] Generated Node #3: [8, 49] from Operation: 490/10=49 Current State: 41:[8, 49], Operations: ['14*35=490', '490/10=49'] Exploring Operation: 49-8=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 40, 24, 31, 41 ]
74
[ "40+24=64", "41-31=10", "64+10=74" ]
Current State: 74:[40, 24, 31, 41], Operations: [] Exploring Operation: 40+24=64, Resulting Numbers: [31, 41, 64] Generated Node #2: [31, 41, 64] from Operation: 40+24=64 Current State: 74:[31, 41, 64], Operations: ['40+24=64'] Exploring Operation: 41-31=10, Resulting Numbers: [64, 10] Generated Node #3: [64, 10] from Operation: 41-31=10 Current State: 74:[64, 10], Operations: ['40+24=64', '41-31=10'] Exploring Operation: 64+10=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 38, 6, 31, 70 ]
83
[ "38+6=44", "70-31=39", "44+39=83" ]
Current State: 83:[38, 6, 31, 70], Operations: [] Exploring Operation: 38+6=44, Resulting Numbers: [31, 70, 44] Generated Node #2: [31, 70, 44] from Operation: 38+6=44 Current State: 83:[31, 70, 44], Operations: ['38+6=44'] Exploring Operation: 70-31=39, Resulting Numbers: [44, 39] Generated Node #3: [44, 39] from Operation: 70-31=39 Current State: 83:[44, 39], Operations: ['38+6=44', '70-31=39'] Exploring Operation: 44+39=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 62, 7, 45, 79 ]
69
[ "62-7=55", "45+79=124", "124-55=69" ]
Current State: 69:[62, 7, 45, 79], Operations: [] Exploring Operation: 62-7=55, Resulting Numbers: [45, 79, 55] Generated Node #2: [45, 79, 55] from Operation: 62-7=55 Current State: 69:[45, 79, 55], Operations: ['62-7=55'] Exploring Operation: 45+79=124, Resulting Numbers: [55, 124] Generated Node #3: [55, 124] from Operation: 45+79=124 Current State: 69:[55, 124], Operations: ['62-7=55', '45+79=124'] Exploring Operation: 124-55=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 18, 50, 27, 3 ]
53
[ "27-18=9", "9/3=3", "50+3=53" ]
Current State: 53:[18, 50, 27, 3], Operations: [] Exploring Operation: 27-18=9, Resulting Numbers: [50, 3, 9] Generated Node #2: [50, 3, 9] from Operation: 27-18=9 Current State: 53:[50, 3, 9], Operations: ['27-18=9'] Exploring Operation: 9/3=3, Resulting Numbers: [50, 3] Generated Node #3: [50, 3] from Operation: 9/3=3 Current State: 53:[50, 3], Operations: ['27-18=9', '9/3=3'] Exploring Operation: 50+3=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 12, 2, 16, 5 ]
66
[ "12+2=14", "16*5=80", "80-14=66" ]
Current State: 66:[12, 2, 16, 5], Operations: [] Exploring Operation: 12+2=14, Resulting Numbers: [16, 5, 14] Generated Node #2: [16, 5, 14] from Operation: 12+2=14 Current State: 66:[16, 5, 14], Operations: ['12+2=14'] Exploring Operation: 16*5=80, Resulting Numbers: [14, 80] Generated Node #3: [14, 80] from Operation: 16*5=80 Current State: 66:[14, 80], Operations: ['12+2=14', '16*5=80'] Exploring Operation: 80-14=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 35, 5, 10, 4 ]
44
[ "35-5=30", "10+4=14", "30+14=44" ]
Current State: 44:[35, 5, 10, 4], Operations: [] Exploring Operation: 35-5=30, Resulting Numbers: [10, 4, 30] Generated Node #2: [10, 4, 30] from Operation: 35-5=30 Current State: 44:[10, 4, 30], Operations: ['35-5=30'] Exploring Operation: 10+4=14, Resulting Numbers: [30, 14] Generated Node #3: [30, 14] from Operation: 10+4=14 Current State: 44:[30, 14], Operations: ['35-5=30', '10+4=14'] Exploring Operation: 30+14=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 27, 4, 72, 87 ]
87
[ "87-27=60", "60/4=15", "72+15=87" ]
Current State: 87:[27, 4, 72, 87], Operations: [] Exploring Operation: 87-27=60, Resulting Numbers: [4, 72, 60] Generated Node #2: [4, 72, 60] from Operation: 87-27=60 Current State: 87:[4, 72, 60], Operations: ['87-27=60'] Exploring Operation: 60/4=15, Resulting Numbers: [72, 15] Generated Node #3: [72, 15] from Operation: 60/4=15 Current State: 87:[72, 15], Operations: ['87-27=60', '60/4=15'] Exploring Operation: 72+15=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 84, 40, 10, 3 ]
28
[ "10-3=7", "84/7=12", "40-12=28" ]
Current State: 28:[84, 40, 10, 3], Operations: [] Exploring Operation: 10-3=7, Resulting Numbers: [84, 40, 7] Generated Node #2: [84, 40, 7] from Operation: 10-3=7 Current State: 28:[84, 40, 7], Operations: ['10-3=7'] Exploring Operation: 84/7=12, Resulting Numbers: [40, 12] Generated Node #3: [40, 12] from Operation: 84/7=12 Current State: 28:[40, 12], Operations: ['10-3=7', '84/7=12'] Exploring Operation: 40-12=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 17, 24, 5, 30 ]
97
[ "30-24=6", "17*6=102", "102-5=97" ]
Current State: 97:[17, 24, 5, 30], Operations: [] Exploring Operation: 30-24=6, Resulting Numbers: [17, 5, 6] Generated Node #2: [17, 5, 6] from Operation: 30-24=6 Current State: 97:[17, 5, 6], Operations: ['30-24=6'] Exploring Operation: 17*6=102, Resulting Numbers: [5, 102] Generated Node #3: [5, 102] from Operation: 17*6=102 Current State: 97:[5, 102], Operations: ['30-24=6', '17*6=102'] Exploring Operation: 102-5=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 74, 4, 52, 59 ]
41
[ "74-4=70", "52+59=111", "111-70=41" ]
Current State: 41:[74, 4, 52, 59], Operations: [] Exploring Operation: 74-4=70, Resulting Numbers: [52, 59, 70] Generated Node #2: [52, 59, 70] from Operation: 74-4=70 Current State: 41:[52, 59, 70], Operations: ['74-4=70'] Exploring Operation: 52+59=111, Resulting Numbers: [70, 111] Generated Node #3: [70, 111] from Operation: 52+59=111 Current State: 41:[70, 111], Operations: ['74-4=70', '52+59=111'] Exploring Operation: 111-70=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 42, 96, 25, 8 ]
37
[ "96-42=54", "25-8=17", "54-17=37" ]
Current State: 37:[42, 96, 25, 8], Operations: [] Exploring Operation: 96-42=54, Resulting Numbers: [25, 8, 54] Generated Node #2: [25, 8, 54] from Operation: 96-42=54 Current State: 37:[25, 8, 54], Operations: ['96-42=54'] Exploring Operation: 25-8=17, Resulting Numbers: [54, 17] Generated Node #3: [54, 17] from Operation: 25-8=17 Current State: 37:[54, 17], Operations: ['96-42=54', '25-8=17'] Exploring Operation: 54-17=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 75, 80, 6, 2 ]
91
[ "75-6=69", "80*2=160", "160-69=91" ]
Current State: 91:[75, 80, 6, 2], Operations: [] Exploring Operation: 75-6=69, Resulting Numbers: [80, 2, 69] Generated Node #2: [80, 2, 69] from Operation: 75-6=69 Current State: 91:[80, 2, 69], Operations: ['75-6=69'] Exploring Operation: 80*2=160, Resulting Numbers: [69, 160] Generated Node #3: [69, 160] from Operation: 80*2=160 Current State: 91:[69, 160], Operations: ['75-6=69', '80*2=160'] Exploring Operation: 160-69=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 37, 38, 2, 63 ]
24
[ "37+38=75", "75-63=12", "2*12=24" ]
Current State: 24:[37, 38, 2, 63], Operations: [] Exploring Operation: 37+38=75, Resulting Numbers: [2, 63, 75] Generated Node #2: [2, 63, 75] from Operation: 37+38=75 Current State: 24:[2, 63, 75], Operations: ['37+38=75'] Exploring Operation: 75-63=12, Resulting Numbers: [2, 12] Generated Node #3: [2, 12] from Operation: 75-63=12 Current State: 24:[2, 12], Operations: ['37+38=75', '75-63=12'] Exploring Operation: 2*12=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 40, 37, 45, 84 ]
43
[ "40-37=3", "45+84=129", "129/3=43" ]
Current State: 43:[40, 37, 45, 84], Operations: [] Exploring Operation: 40-37=3, Resulting Numbers: [45, 84, 3] Generated Node #2: [45, 84, 3] from Operation: 40-37=3 Current State: 43:[45, 84, 3], Operations: ['40-37=3'] Exploring Operation: 45+84=129, Resulting Numbers: [3, 129] Generated Node #3: [3, 129] from Operation: 45+84=129 Current State: 43:[3, 129], Operations: ['40-37=3', '45+84=129'] Exploring Operation: 129/3=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 72, 13, 26, 48 ]
11
[ "72+13=85", "26+48=74", "85-74=11" ]
Current State: 11:[72, 13, 26, 48], Operations: [] Exploring Operation: 72+13=85, Resulting Numbers: [26, 48, 85] Generated Node #2: [26, 48, 85] from Operation: 72+13=85 Current State: 11:[26, 48, 85], Operations: ['72+13=85'] Exploring Operation: 26+48=74, Resulting Numbers: [85, 74] Generated Node #3: [85, 74] from Operation: 26+48=74 Current State: 11:[85, 74], Operations: ['72+13=85', '26+48=74'] Exploring Operation: 85-74=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 5, 37, 40, 4 ]
35
[ "40/5=8", "8/4=2", "37-2=35" ]
Current State: 35:[5, 37, 40, 4], Operations: [] Exploring Operation: 40/5=8, Resulting Numbers: [37, 4, 8] Generated Node #2: [37, 4, 8] from Operation: 40/5=8 Current State: 35:[37, 4, 8], Operations: ['40/5=8'] Exploring Operation: 8/4=2, Resulting Numbers: [37, 2] Generated Node #3: [37, 2] from Operation: 8/4=2 Current State: 35:[37, 2], Operations: ['40/5=8', '8/4=2'] Exploring Operation: 37-2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 35, 95, 92, 62 ]
100
[ "35+95=130", "92-62=30", "130-30=100" ]
Current State: 100:[35, 95, 92, 62], Operations: [] Exploring Operation: 35+95=130, Resulting Numbers: [92, 62, 130] Generated Node #2: [92, 62, 130] from Operation: 35+95=130 Current State: 100:[92, 62, 130], Operations: ['35+95=130'] Exploring Operation: 92-62=30, Resulting Numbers: [130, 30] Generated Node #3: [130, 30] from Operation: 92-62=30 Current State: 100:[130, 30], Operations: ['35+95=130', '92-62=30'] Exploring Operation: 130-30=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 19, 32, 71, 2 ]
91
[ "19+32=51", "71*2=142", "142-51=91" ]
Current State: 91:[19, 32, 71, 2], Operations: [] Exploring Operation: 19+32=51, Resulting Numbers: [71, 2, 51] Generated Node #2: [71, 2, 51] from Operation: 19+32=51 Current State: 91:[71, 2, 51], Operations: ['19+32=51'] Exploring Operation: 71*2=142, Resulting Numbers: [51, 142] Generated Node #3: [51, 142] from Operation: 71*2=142 Current State: 91:[51, 142], Operations: ['19+32=51', '71*2=142'] Exploring Operation: 142-51=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 35, 96, 90, 1 ]
29
[ "96-35=61", "90*1=90", "90-61=29" ]
Current State: 29:[35, 96, 90, 1], Operations: [] Exploring Operation: 96-35=61, Resulting Numbers: [90, 1, 61] Generated Node #2: [90, 1, 61] from Operation: 96-35=61 Current State: 29:[90, 1, 61], Operations: ['96-35=61'] Exploring Operation: 90*1=90, Resulting Numbers: [61, 90] Generated Node #3: [61, 90] from Operation: 90*1=90 Current State: 29:[61, 90], Operations: ['96-35=61', '90*1=90'] Exploring Operation: 90-61=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 40, 71, 81, 33 ]
63
[ "40+71=111", "81-33=48", "111-48=63" ]
Current State: 63:[40, 71, 81, 33], Operations: [] Exploring Operation: 40+71=111, Resulting Numbers: [81, 33, 111] Generated Node #2: [81, 33, 111] from Operation: 40+71=111 Current State: 63:[81, 33, 111], Operations: ['40+71=111'] Exploring Operation: 81-33=48, Resulting Numbers: [111, 48] Generated Node #3: [111, 48] from Operation: 81-33=48 Current State: 63:[111, 48], Operations: ['40+71=111', '81-33=48'] Exploring Operation: 111-48=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 76, 38, 85, 74 ]
94
[ "76-74=2", "85-38=47", "2*47=94" ]
Current State: 94:[76, 38, 85, 74], Operations: [] Exploring Operation: 76-74=2, Resulting Numbers: [38, 85, 2] Generated Node #2: [38, 85, 2] from Operation: 76-74=2 Current State: 94:[38, 85, 2], Operations: ['76-74=2'] Exploring Operation: 85-38=47, Resulting Numbers: [2, 47] Generated Node #3: [2, 47] from Operation: 85-38=47 Current State: 94:[2, 47], Operations: ['76-74=2', '85-38=47'] Exploring Operation: 2*47=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 83, 16, 78, 63 ]
52
[ "83-16=67", "78-63=15", "67-15=52" ]
Current State: 52:[83, 16, 78, 63], Operations: [] Exploring Operation: 83-16=67, Resulting Numbers: [78, 63, 67] Generated Node #2: [78, 63, 67] from Operation: 83-16=67 Current State: 52:[78, 63, 67], Operations: ['83-16=67'] Exploring Operation: 78-63=15, Resulting Numbers: [67, 15] Generated Node #3: [67, 15] from Operation: 78-63=15 Current State: 52:[67, 15], Operations: ['83-16=67', '78-63=15'] Exploring Operation: 67-15=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 46, 72, 38, 54 ]
66
[ "72-46=26", "38+54=92", "92-26=66" ]
Current State: 66:[46, 72, 38, 54], Operations: [] Exploring Operation: 72-46=26, Resulting Numbers: [38, 54, 26] Generated Node #2: [38, 54, 26] from Operation: 72-46=26 Current State: 66:[38, 54, 26], Operations: ['72-46=26'] Exploring Operation: 38+54=92, Resulting Numbers: [26, 92] Generated Node #3: [26, 92] from Operation: 38+54=92 Current State: 66:[26, 92], Operations: ['72-46=26', '38+54=92'] Exploring Operation: 92-26=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 28, 12, 54, 30 ]
64
[ "28+12=40", "54-30=24", "40+24=64" ]
Current State: 64:[28, 12, 54, 30], Operations: [] Exploring Operation: 28+12=40, Resulting Numbers: [54, 30, 40] Generated Node #2: [54, 30, 40] from Operation: 28+12=40 Current State: 64:[54, 30, 40], Operations: ['28+12=40'] Exploring Operation: 54-30=24, Resulting Numbers: [40, 24] Generated Node #3: [40, 24] from Operation: 54-30=24 Current State: 64:[40, 24], Operations: ['28+12=40', '54-30=24'] Exploring Operation: 40+24=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 20, 2, 39, 21 ]
19
[ "20+39=59", "59-21=38", "38/2=19" ]
Current State: 19:[20, 2, 39, 21], Operations: [] Exploring Operation: 20+39=59, Resulting Numbers: [2, 21, 59] Generated Node #2: [2, 21, 59] from Operation: 20+39=59 Current State: 19:[2, 21, 59], Operations: ['20+39=59'] Exploring Operation: 59-21=38, Resulting Numbers: [2, 38] Generated Node #3: [2, 38] from Operation: 59-21=38 Current State: 19:[2, 38], Operations: ['20+39=59', '59-21=38'] Exploring Operation: 38/2=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 33, 26, 88, 29 ]
52
[ "33-26=7", "88-29=59", "59-7=52" ]
Current State: 52:[33, 26, 88, 29], Operations: [] Exploring Operation: 33-26=7, Resulting Numbers: [88, 29, 7] Generated Node #2: [88, 29, 7] from Operation: 33-26=7 Current State: 52:[88, 29, 7], Operations: ['33-26=7'] Exploring Operation: 88-29=59, Resulting Numbers: [7, 59] Generated Node #3: [7, 59] from Operation: 88-29=59 Current State: 52:[7, 59], Operations: ['33-26=7', '88-29=59'] Exploring Operation: 59-7=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 25, 24, 15, 13 ]
75
[ "24+15=39", "25*39=975", "975/13=75" ]
Current State: 75:[25, 24, 15, 13], Operations: [] Exploring Operation: 24+15=39, Resulting Numbers: [25, 13, 39] Generated Node #2: [25, 13, 39] from Operation: 24+15=39 Current State: 75:[25, 13, 39], Operations: ['24+15=39'] Exploring Operation: 25*39=975, Resulting Numbers: [13, 975] Generated Node #3: [13, 975] from Operation: 25*39=975 Current State: 75:[13, 975], Operations: ['24+15=39', '25*39=975'] Exploring Operation: 975/13=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 6, 72, 5, 29 ]
72
[ "6*5=30", "30-29=1", "72*1=72" ]
Current State: 72:[6, 72, 5, 29], Operations: [] Exploring Operation: 6*5=30, Resulting Numbers: [72, 29, 30] Generated Node #2: [72, 29, 30] from Operation: 6*5=30 Current State: 72:[72, 29, 30], Operations: ['6*5=30'] Exploring Operation: 30-29=1, Resulting Numbers: [72, 1] Generated Node #3: [72, 1] from Operation: 30-29=1 Current State: 72:[72, 1], Operations: ['6*5=30', '30-29=1'] Exploring Operation: 72*1=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 63, 31, 48, 5 ]
51
[ "63+31=94", "48-5=43", "94-43=51" ]
Current State: 51:[63, 31, 48, 5], Operations: [] Exploring Operation: 63+31=94, Resulting Numbers: [48, 5, 94] Generated Node #2: [48, 5, 94] from Operation: 63+31=94 Current State: 51:[48, 5, 94], Operations: ['63+31=94'] Exploring Operation: 48-5=43, Resulting Numbers: [94, 43] Generated Node #3: [94, 43] from Operation: 48-5=43 Current State: 51:[94, 43], Operations: ['63+31=94', '48-5=43'] Exploring Operation: 94-43=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 56, 59, 29, 9 ]
87
[ "59-56=3", "29*9=261", "261/3=87" ]
Current State: 87:[56, 59, 29, 9], Operations: [] Exploring Operation: 59-56=3, Resulting Numbers: [29, 9, 3] Generated Node #2: [29, 9, 3] from Operation: 59-56=3 Current State: 87:[29, 9, 3], Operations: ['59-56=3'] Exploring Operation: 29*9=261, Resulting Numbers: [3, 261] Generated Node #3: [3, 261] from Operation: 29*9=261 Current State: 87:[3, 261], Operations: ['59-56=3', '29*9=261'] Exploring Operation: 261/3=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 8, 12, 34, 22 ]
73
[ "12*34=408", "408/8=51", "22+51=73" ]
Current State: 73:[8, 12, 34, 22], Operations: [] Exploring Operation: 12*34=408, Resulting Numbers: [8, 22, 408] Generated Node #2: [8, 22, 408] from Operation: 12*34=408 Current State: 73:[8, 22, 408], Operations: ['12*34=408'] Exploring Operation: 408/8=51, Resulting Numbers: [22, 51] Generated Node #3: [22, 51] from Operation: 408/8=51 Current State: 73:[22, 51], Operations: ['12*34=408', '408/8=51'] Exploring Operation: 22+51=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 47, 94, 32, 46 ]
76
[ "94/47=2", "32+46=78", "78-2=76" ]
Current State: 76:[47, 94, 32, 46], Operations: [] Exploring Operation: 94/47=2, Resulting Numbers: [32, 46, 2] Generated Node #2: [32, 46, 2] from Operation: 94/47=2 Current State: 76:[32, 46, 2], Operations: ['94/47=2'] Exploring Operation: 32+46=78, Resulting Numbers: [2, 78] Generated Node #3: [2, 78] from Operation: 32+46=78 Current State: 76:[2, 78], Operations: ['94/47=2', '32+46=78'] Exploring Operation: 78-2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 5, 15, 10, 9 ]
18
[ "5+15=20", "20/10=2", "9*2=18" ]
Current State: 18:[5, 15, 10, 9], Operations: [] Exploring Operation: 5+15=20, Resulting Numbers: [10, 9, 20] Generated Node #2: [10, 9, 20] from Operation: 5+15=20 Current State: 18:[10, 9, 20], Operations: ['5+15=20'] Exploring Operation: 20/10=2, Resulting Numbers: [9, 2] Generated Node #3: [9, 2] from Operation: 20/10=2 Current State: 18:[9, 2], Operations: ['5+15=20', '20/10=2'] Exploring Operation: 9*2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 87, 92, 7, 94 ]
40
[ "87-7=80", "94-92=2", "80/2=40" ]
Current State: 40:[87, 92, 7, 94], Operations: [] Exploring Operation: 87-7=80, Resulting Numbers: [92, 94, 80] Generated Node #2: [92, 94, 80] from Operation: 87-7=80 Current State: 40:[92, 94, 80], Operations: ['87-7=80'] Exploring Operation: 94-92=2, Resulting Numbers: [80, 2] Generated Node #3: [80, 2] from Operation: 94-92=2 Current State: 40:[80, 2], Operations: ['87-7=80', '94-92=2'] Exploring Operation: 80/2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 33, 37, 30, 27 ]
78
[ "37-33=4", "27*4=108", "108-30=78" ]
Current State: 78:[33, 37, 30, 27], Operations: [] Exploring Operation: 37-33=4, Resulting Numbers: [30, 27, 4] Generated Node #2: [30, 27, 4] from Operation: 37-33=4 Current State: 78:[30, 27, 4], Operations: ['37-33=4'] Exploring Operation: 27*4=108, Resulting Numbers: [30, 108] Generated Node #3: [30, 108] from Operation: 27*4=108 Current State: 78:[30, 108], Operations: ['37-33=4', '27*4=108'] Exploring Operation: 108-30=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 28, 79, 51, 22 ]
80
[ "79-28=51", "51-22=29", "51+29=80" ]
Current State: 80:[28, 79, 51, 22], Operations: [] Exploring Operation: 79-28=51, Resulting Numbers: [51, 22, 51] Generated Node #2: [51, 22, 51] from Operation: 79-28=51 Current State: 80:[51, 22, 51], Operations: ['79-28=51'] Exploring Operation: 51-22=29, Resulting Numbers: [29] 29,80 equal: Goal Reached Exploring Operation: 51+29=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 80, 74, 98, 47 ]
57
[ "80-74=6", "98-47=51", "6+51=57" ]
Current State: 57:[80, 74, 98, 47], Operations: [] Exploring Operation: 80-74=6, Resulting Numbers: [98, 47, 6] Generated Node #2: [98, 47, 6] from Operation: 80-74=6 Current State: 57:[98, 47, 6], Operations: ['80-74=6'] Exploring Operation: 98-47=51, Resulting Numbers: [6, 51] Generated Node #3: [6, 51] from Operation: 98-47=51 Current State: 57:[6, 51], Operations: ['80-74=6', '98-47=51'] Exploring Operation: 6+51=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 69, 78, 63, 13 ]
20
[ "78-69=9", "63/9=7", "13+7=20" ]
Current State: 20:[69, 78, 63, 13], Operations: [] Exploring Operation: 78-69=9, Resulting Numbers: [63, 13, 9] Generated Node #2: [63, 13, 9] from Operation: 78-69=9 Current State: 20:[63, 13, 9], Operations: ['78-69=9'] Exploring Operation: 63/9=7, Resulting Numbers: [13, 7] Generated Node #3: [13, 7] from Operation: 63/9=7 Current State: 20:[13, 7], Operations: ['78-69=9', '63/9=7'] Exploring Operation: 13+7=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 13, 93, 33, 2 ]
86
[ "13+93=106", "106/2=53", "33+53=86" ]
Current State: 86:[13, 93, 33, 2], Operations: [] Exploring Operation: 13+93=106, Resulting Numbers: [33, 2, 106] Generated Node #2: [33, 2, 106] from Operation: 13+93=106 Current State: 86:[33, 2, 106], Operations: ['13+93=106'] Exploring Operation: 106/2=53, Resulting Numbers: [33, 53] Generated Node #3: [33, 53] from Operation: 106/2=53 Current State: 86:[33, 53], Operations: ['13+93=106', '106/2=53'] Exploring Operation: 33+53=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 89, 10, 59, 21 ]
41
[ "89-10=79", "59-21=38", "79-38=41" ]
Current State: 41:[89, 10, 59, 21], Operations: [] Exploring Operation: 89-10=79, Resulting Numbers: [59, 21, 79] Generated Node #2: [59, 21, 79] from Operation: 89-10=79 Current State: 41:[59, 21, 79], Operations: ['89-10=79'] Exploring Operation: 59-21=38, Resulting Numbers: [79, 38] Generated Node #3: [79, 38] from Operation: 59-21=38 Current State: 41:[79, 38], Operations: ['89-10=79', '59-21=38'] Exploring Operation: 79-38=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 61, 90, 22, 66 ]
15
[ "90-61=29", "66-22=44", "44-29=15" ]
Current State: 15:[61, 90, 22, 66], Operations: [] Exploring Operation: 90-61=29, Resulting Numbers: [22, 66, 29] Generated Node #2: [22, 66, 29] from Operation: 90-61=29 Current State: 15:[22, 66, 29], Operations: ['90-61=29'] Exploring Operation: 66-22=44, Resulting Numbers: [29, 44] Generated Node #3: [29, 44] from Operation: 66-22=44 Current State: 15:[29, 44], Operations: ['90-61=29', '66-22=44'] Exploring Operation: 44-29=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 9, 13, 5, 64 ]
73
[ "13-9=4", "5+64=69", "4+69=73" ]
Current State: 73:[9, 13, 5, 64], Operations: [] Exploring Operation: 13-9=4, Resulting Numbers: [5, 64, 4] Generated Node #2: [5, 64, 4] from Operation: 13-9=4 Current State: 73:[5, 64, 4], Operations: ['13-9=4'] Exploring Operation: 5+64=69, Resulting Numbers: [4, 69] Generated Node #3: [4, 69] from Operation: 5+64=69 Current State: 73:[4, 69], Operations: ['13-9=4', '5+64=69'] Exploring Operation: 4+69=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 4, 28, 21, 53 ]
15
[ "28-21=7", "53+7=60", "60/4=15" ]
Current State: 15:[4, 28, 21, 53], Operations: [] Exploring Operation: 28-21=7, Resulting Numbers: [4, 53, 7] Generated Node #2: [4, 53, 7] from Operation: 28-21=7 Current State: 15:[4, 53, 7], Operations: ['28-21=7'] Exploring Operation: 53+7=60, Resulting Numbers: [4, 60] Generated Node #3: [4, 60] from Operation: 53+7=60 Current State: 15:[4, 60], Operations: ['28-21=7', '53+7=60'] Exploring Operation: 60/4=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 41, 53, 89, 67 ]
98
[ "41*89=3649", "53*67=3551", "3649-3551=98" ]
Current State: 98:[41, 53, 89, 67], Operations: [] Exploring Operation: 41*89=3649, Resulting Numbers: [53, 67, 3649] Generated Node #2: [53, 67, 3649] from Operation: 41*89=3649 Current State: 98:[53, 67, 3649], Operations: ['41*89=3649'] Exploring Operation: 53*67=3551, Resulting Numbers: [3649, 3551] Generated Node #3: [3649, 3551] from Operation: 53*67=3551 Current State: 98:[3649, 3551], Operations: ['41*89=3649', '53*67=3551'] Exploring Operation: 3649-3551=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 10, 90, 28, 88 ]
66
[ "90-88=2", "28*2=56", "10+56=66" ]
Current State: 66:[10, 90, 28, 88], Operations: [] Exploring Operation: 90-88=2, Resulting Numbers: [10, 28, 2] Generated Node #2: [10, 28, 2] from Operation: 90-88=2 Current State: 66:[10, 28, 2], Operations: ['90-88=2'] Exploring Operation: 28*2=56, Resulting Numbers: [10, 56] Generated Node #3: [10, 56] from Operation: 28*2=56 Current State: 66:[10, 56], Operations: ['90-88=2', '28*2=56'] Exploring Operation: 10+56=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 6, 44, 70, 14 ]
18
[ "44-6=38", "70-14=56", "56-38=18" ]
Current State: 18:[6, 44, 70, 14], Operations: [] Exploring Operation: 44-6=38, Resulting Numbers: [70, 14, 38] Generated Node #2: [70, 14, 38] from Operation: 44-6=38 Current State: 18:[70, 14, 38], Operations: ['44-6=38'] Exploring Operation: 70-14=56, Resulting Numbers: [38, 56] Generated Node #3: [38, 56] from Operation: 70-14=56 Current State: 18:[38, 56], Operations: ['44-6=38', '70-14=56'] Exploring Operation: 56-38=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 16, 38, 2, 11 ]
92
[ "16+11=27", "2*27=54", "38+54=92" ]
Current State: 92:[16, 38, 2, 11], Operations: [] Exploring Operation: 16+11=27, Resulting Numbers: [38, 2, 27] Generated Node #2: [38, 2, 27] from Operation: 16+11=27 Current State: 92:[38, 2, 27], Operations: ['16+11=27'] Exploring Operation: 2*27=54, Resulting Numbers: [38, 54] Generated Node #3: [38, 54] from Operation: 2*27=54 Current State: 92:[38, 54], Operations: ['16+11=27', '2*27=54'] Exploring Operation: 38+54=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 46, 81, 34, 33 ]
35
[ "81-46=35", "34-33=1", "35*1=35" ]
Current State: 35:[46, 81, 34, 33], Operations: [] Exploring Operation: 81-46=35, Resulting Numbers: [34, 33, 35] Generated Node #2: [34, 33, 35] from Operation: 81-46=35 Current State: 35:[34, 33, 35], Operations: ['81-46=35'] Exploring Operation: 34-33=1, Resulting Numbers: [35, 1] Generated Node #3: [35, 1] from Operation: 34-33=1 Current State: 35:[35, 1], Operations: ['81-46=35', '34-33=1'] Exploring Operation: 35*1=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 63, 47, 25, 23 ]
55
[ "63+47=110", "25-23=2", "110/2=55" ]
Current State: 55:[63, 47, 25, 23], Operations: [] Exploring Operation: 63+47=110, Resulting Numbers: [25, 23, 110] Generated Node #2: [25, 23, 110] from Operation: 63+47=110 Current State: 55:[25, 23, 110], Operations: ['63+47=110'] Exploring Operation: 25-23=2, Resulting Numbers: [110, 2] Generated Node #3: [110, 2] from Operation: 25-23=2 Current State: 55:[110, 2], Operations: ['63+47=110', '25-23=2'] Exploring Operation: 110/2=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 78, 41, 13, 47 ]
94
[ "78/13=6", "41+47=88", "6+88=94" ]
Current State: 94:[78, 41, 13, 47], Operations: [] Exploring Operation: 78/13=6, Resulting Numbers: [41, 47, 6] Generated Node #2: [41, 47, 6] from Operation: 78/13=6 Current State: 94:[41, 47, 6], Operations: ['78/13=6'] Exploring Operation: 41+47=88, Resulting Numbers: [6, 88] Generated Node #3: [6, 88] from Operation: 41+47=88 Current State: 94:[6, 88], Operations: ['78/13=6', '41+47=88'] Exploring Operation: 6+88=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 7, 46, 71, 69 ]
52
[ "7+71=78", "46*78=3588", "3588/69=52" ]
Current State: 52:[7, 46, 71, 69], Operations: [] Exploring Operation: 7+71=78, Resulting Numbers: [46, 69, 78] Generated Node #2: [46, 69, 78] from Operation: 7+71=78 Current State: 52:[46, 69, 78], Operations: ['7+71=78'] Exploring Operation: 46*78=3588, Resulting Numbers: [69, 3588] Generated Node #3: [69, 3588] from Operation: 46*78=3588 Current State: 52:[69, 3588], Operations: ['7+71=78', '46*78=3588'] Exploring Operation: 3588/69=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 35, 33, 94, 85 ]
38
[ "35-33=2", "94/2=47", "85-47=38" ]
Current State: 38:[35, 33, 94, 85], Operations: [] Exploring Operation: 35-33=2, Resulting Numbers: [94, 85, 2] Generated Node #2: [94, 85, 2] from Operation: 35-33=2 Current State: 38:[94, 85, 2], Operations: ['35-33=2'] Exploring Operation: 94/2=47, Resulting Numbers: [85, 47] Generated Node #3: [85, 47] from Operation: 94/2=47 Current State: 38:[85, 47], Operations: ['35-33=2', '94/2=47'] Exploring Operation: 85-47=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 50, 71, 3, 10 ]
91
[ "50+71=121", "3*10=30", "121-30=91" ]
Current State: 91:[50, 71, 3, 10], Operations: [] Exploring Operation: 50+71=121, Resulting Numbers: [3, 10, 121] Generated Node #2: [3, 10, 121] from Operation: 50+71=121 Current State: 91:[3, 10, 121], Operations: ['50+71=121'] Exploring Operation: 3*10=30, Resulting Numbers: [121, 30] Generated Node #3: [121, 30] from Operation: 3*10=30 Current State: 91:[121, 30], Operations: ['50+71=121', '3*10=30'] Exploring Operation: 121-30=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 28, 59, 65, 85 ]
51
[ "59-28=31", "85-65=20", "31+20=51" ]
Current State: 51:[28, 59, 65, 85], Operations: [] Exploring Operation: 59-28=31, Resulting Numbers: [65, 85, 31] Generated Node #2: [65, 85, 31] from Operation: 59-28=31 Current State: 51:[65, 85, 31], Operations: ['59-28=31'] Exploring Operation: 85-65=20, Resulting Numbers: [31, 20] Generated Node #3: [31, 20] from Operation: 85-65=20 Current State: 51:[31, 20], Operations: ['59-28=31', '85-65=20'] Exploring Operation: 31+20=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 7, 69, 8, 44 ]
25
[ "8-7=1", "69-44=25", "1*25=25" ]
Current State: 25:[7, 69, 8, 44], Operations: [] Exploring Operation: 8-7=1, Resulting Numbers: [69, 44, 1] Generated Node #2: [69, 44, 1] from Operation: 8-7=1 Current State: 25:[69, 44, 1], Operations: ['8-7=1'] Exploring Operation: 69-44=25, Resulting Numbers: [1, 25] Generated Node #3: [1, 25] from Operation: 69-44=25 Current State: 25:[1, 25], Operations: ['8-7=1', '69-44=25'] Exploring Operation: 1*25=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 71, 35, 71, 54 ]
53
[ "71-35=36", "71-54=17", "36+17=53" ]
Current State: 53:[71, 35, 71, 54], Operations: [] Exploring Operation: 71-35=36, Resulting Numbers: [54, 36] Generated Node #2: [54, 36] from Operation: 71-35=36 Current State: 53:[54, 36], Operations: ['71-35=36'] Exploring Operation: 71-54=17, Resulting Numbers: [36, 17] Generated Node #3: [36, 17] from Operation: 71-54=17 Current State: 53:[36, 17], Operations: ['71-35=36', '71-54=17'] Exploring Operation: 36+17=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 23, 47, 43, 72 ]
53
[ "47-23=24", "72-43=29", "24+29=53" ]
Current State: 53:[23, 47, 43, 72], Operations: [] Exploring Operation: 47-23=24, Resulting Numbers: [43, 72, 24] Generated Node #2: [43, 72, 24] from Operation: 47-23=24 Current State: 53:[43, 72, 24], Operations: ['47-23=24'] Exploring Operation: 72-43=29, Resulting Numbers: [24, 29] Generated Node #3: [24, 29] from Operation: 72-43=29 Current State: 53:[24, 29], Operations: ['47-23=24', '72-43=29'] Exploring Operation: 24+29=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 79, 81, 80, 9 ]
73
[ "81-79=2", "80-9=71", "2+71=73" ]
Current State: 73:[79, 81, 80, 9], Operations: [] Exploring Operation: 81-79=2, Resulting Numbers: [80, 9, 2] Generated Node #2: [80, 9, 2] from Operation: 81-79=2 Current State: 73:[80, 9, 2], Operations: ['81-79=2'] Exploring Operation: 80-9=71, Resulting Numbers: [2, 71] Generated Node #3: [2, 71] from Operation: 80-9=71 Current State: 73:[2, 71], Operations: ['81-79=2', '80-9=71'] Exploring Operation: 2+71=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 2, 9, 18, 45 ]
34
[ "9-2=7", "45-18=27", "7+27=34" ]
Current State: 34:[2, 9, 18, 45], Operations: [] Exploring Operation: 9-2=7, Resulting Numbers: [18, 45, 7] Generated Node #2: [18, 45, 7] from Operation: 9-2=7 Current State: 34:[18, 45, 7], Operations: ['9-2=7'] Exploring Operation: 45-18=27, Resulting Numbers: [7, 27] Generated Node #3: [7, 27] from Operation: 45-18=27 Current State: 34:[7, 27], Operations: ['9-2=7', '45-18=27'] Exploring Operation: 7+27=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 72, 32, 35, 80 ]
16
[ "72-32=40", "40-35=5", "80/5=16" ]
Current State: 16:[72, 32, 35, 80], Operations: [] Exploring Operation: 72-32=40, Resulting Numbers: [35, 80, 40] Generated Node #2: [35, 80, 40] from Operation: 72-32=40 Current State: 16:[35, 80, 40], Operations: ['72-32=40'] Exploring Operation: 40-35=5, Resulting Numbers: [80, 5] Generated Node #3: [80, 5] from Operation: 40-35=5 Current State: 16:[80, 5], Operations: ['72-32=40', '40-35=5'] Exploring Operation: 80/5=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 16, 70, 13, 1 ]
40
[ "70-16=54", "13+1=14", "54-14=40" ]
Current State: 40:[16, 70, 13, 1], Operations: [] Exploring Operation: 70-16=54, Resulting Numbers: [13, 1, 54] Generated Node #2: [13, 1, 54] from Operation: 70-16=54 Current State: 40:[13, 1, 54], Operations: ['70-16=54'] Exploring Operation: 13+1=14, Resulting Numbers: [54, 14] Generated Node #3: [54, 14] from Operation: 13+1=14 Current State: 40:[54, 14], Operations: ['70-16=54', '13+1=14'] Exploring Operation: 54-14=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4