Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 36, 12, 26, 97 ]
47
[ "36-12=24", "97-26=71", "71-24=47" ]
Current State: 47:[36, 12, 26, 97], Operations: [] Exploring Operation: 36-12=24, Resulting Numbers: [26, 97, 24] Generated Node #2: [26, 97, 24] from Operation: 36-12=24 Current State: 47:[26, 97, 24], Operations: ['36-12=24'] Exploring Operation: 97-26=71, Resulting Numbers: [24, 71] Generated Node #3: [24, 71] from Operation: 97-26=71 Current State: 47:[24, 71], Operations: ['36-12=24', '97-26=71'] Exploring Operation: 71-24=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 59, 12, 34, 4 ]
41
[ "59+12=71", "34-4=30", "71-30=41" ]
Current State: 41:[59, 12, 34, 4], Operations: [] Exploring Operation: 59+12=71, Resulting Numbers: [34, 4, 71] Generated Node #2: [34, 4, 71] from Operation: 59+12=71 Current State: 41:[34, 4, 71], Operations: ['59+12=71'] Exploring Operation: 34-4=30, Resulting Numbers: [71, 30] Generated Node #3: [71, 30] from Operation: 34-4=30 Current State: 41:[71, 30], Operations: ['59+12=71', '34-4=30'] Exploring Operation: 71-30=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 74, 34, 3, 44 ]
16
[ "74+44=118", "34*3=102", "118-102=16" ]
Current State: 16:[74, 34, 3, 44], Operations: [] Exploring Operation: 74+44=118, Resulting Numbers: [34, 3, 118] Generated Node #2: [34, 3, 118] from Operation: 74+44=118 Current State: 16:[34, 3, 118], Operations: ['74+44=118'] Exploring Operation: 34*3=102, Resulting Numbers: [118, 102] Generated Node #3: [118, 102] from Operation: 34*3=102 Current State: 16:[118, 102], Operations: ['74+44=118', '34*3=102'] Exploring Operation: 118-102=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 97, 51, 23, 1 ]
22
[ "97-51=46", "23+1=24", "46-24=22" ]
Current State: 22:[97, 51, 23, 1], Operations: [] Exploring Operation: 97-51=46, Resulting Numbers: [23, 1, 46] Generated Node #2: [23, 1, 46] from Operation: 97-51=46 Current State: 22:[23, 1, 46], Operations: ['97-51=46'] Exploring Operation: 23+1=24, Resulting Numbers: [46, 24] Generated Node #3: [46, 24] from Operation: 23+1=24 Current State: 22:[46, 24], Operations: ['97-51=46', '23+1=24'] Exploring Operation: 46-24=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 22, 98, 11, 27 ]
38
[ "98-22=76", "11+27=38", "76-38=38" ]
Current State: 38:[22, 98, 11, 27], Operations: [] Exploring Operation: 98-22=76, Resulting Numbers: [11, 27, 76] Generated Node #2: [11, 27, 76] from Operation: 98-22=76 Current State: 38:[11, 27, 76], Operations: ['98-22=76'] Exploring Operation: 11+27=38, Resulting Numbers: [76, 38] Generated Node #3: [76, 38] from Operation: 11+27=38 Current State: 38:[76, 38], Operations: ['98-22=76', '11+27=38'] Exploring Operation: 76-38=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 76, 9, 78, 44 ]
13
[ "78-76=2", "44/2=22", "22-9=13" ]
Current State: 13:[76, 9, 78, 44], Operations: [] Exploring Operation: 78-76=2, Resulting Numbers: [9, 44, 2] Generated Node #2: [9, 44, 2] from Operation: 78-76=2 Current State: 13:[9, 44, 2], Operations: ['78-76=2'] Exploring Operation: 44/2=22, Resulting Numbers: [9, 22] Generated Node #3: [9, 22] from Operation: 44/2=22 Current State: 13:[9, 22], Operations: ['78-76=2', '44/2=22'] Exploring Operation: 22-9=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 23, 46, 17, 34 ]
67
[ "23+46=69", "34/17=2", "69-2=67" ]
Current State: 67:[23, 46, 17, 34], Operations: [] Exploring Operation: 23+46=69, Resulting Numbers: [17, 34, 69] Generated Node #2: [17, 34, 69] from Operation: 23+46=69 Current State: 67:[17, 34, 69], Operations: ['23+46=69'] Exploring Operation: 34/17=2, Resulting Numbers: [69, 2] Generated Node #3: [69, 2] from Operation: 34/17=2 Current State: 67:[69, 2], Operations: ['23+46=69', '34/17=2'] Exploring Operation: 69-2=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 35, 21, 38, 34 ]
41
[ "38-35=3", "21/3=7", "34+7=41" ]
Current State: 41:[35, 21, 38, 34], Operations: [] Exploring Operation: 38-35=3, Resulting Numbers: [21, 34, 3] Generated Node #2: [21, 34, 3] from Operation: 38-35=3 Current State: 41:[21, 34, 3], Operations: ['38-35=3'] Exploring Operation: 21/3=7, Resulting Numbers: [34, 7] Generated Node #3: [34, 7] from Operation: 21/3=7 Current State: 41:[34, 7], Operations: ['38-35=3', '21/3=7'] Exploring Operation: 34+7=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 28, 4, 10, 91 ]
77
[ "28-4=24", "10+91=101", "101-24=77" ]
Current State: 77:[28, 4, 10, 91], Operations: [] Exploring Operation: 28-4=24, Resulting Numbers: [10, 91, 24] Generated Node #2: [10, 91, 24] from Operation: 28-4=24 Current State: 77:[10, 91, 24], Operations: ['28-4=24'] Exploring Operation: 10+91=101, Resulting Numbers: [24, 101] Generated Node #3: [24, 101] from Operation: 10+91=101 Current State: 77:[24, 101], Operations: ['28-4=24', '10+91=101'] Exploring Operation: 101-24=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 40, 61, 73, 72 ]
20
[ "61-40=21", "73-72=1", "21-1=20" ]
Current State: 20:[40, 61, 73, 72], Operations: [] Exploring Operation: 61-40=21, Resulting Numbers: [73, 72, 21] Generated Node #2: [73, 72, 21] from Operation: 61-40=21 Current State: 20:[73, 72, 21], Operations: ['61-40=21'] Exploring Operation: 73-72=1, Resulting Numbers: [21, 1] Generated Node #3: [21, 1] from Operation: 73-72=1 Current State: 20:[21, 1], Operations: ['61-40=21', '73-72=1'] Exploring Operation: 21-1=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 20, 31, 29, 11 ]
62
[ "29-20=9", "11-9=2", "31*2=62" ]
Current State: 62:[20, 31, 29, 11], Operations: [] Exploring Operation: 29-20=9, Resulting Numbers: [31, 11, 9] Generated Node #2: [31, 11, 9] from Operation: 29-20=9 Current State: 62:[31, 11, 9], Operations: ['29-20=9'] Exploring Operation: 11-9=2, Resulting Numbers: [31, 2] Generated Node #3: [31, 2] from Operation: 11-9=2 Current State: 62:[31, 2], Operations: ['29-20=9', '11-9=2'] Exploring Operation: 31*2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 13, 68, 90, 25 ]
39
[ "90-68=22", "25-22=3", "13*3=39" ]
Current State: 39:[13, 68, 90, 25], Operations: [] Exploring Operation: 90-68=22, Resulting Numbers: [13, 25, 22] Generated Node #2: [13, 25, 22] from Operation: 90-68=22 Current State: 39:[13, 25, 22], Operations: ['90-68=22'] Exploring Operation: 25-22=3, Resulting Numbers: [13, 3] Generated Node #3: [13, 3] from Operation: 25-22=3 Current State: 39:[13, 3], Operations: ['90-68=22', '25-22=3'] Exploring Operation: 13*3=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 35, 2, 86, 10 ]
24
[ "86-2=84", "10*84=840", "840/35=24" ]
Current State: 24:[35, 2, 86, 10], Operations: [] Exploring Operation: 86-2=84, Resulting Numbers: [35, 10, 84] Generated Node #2: [35, 10, 84] from Operation: 86-2=84 Current State: 24:[35, 10, 84], Operations: ['86-2=84'] Exploring Operation: 10*84=840, Resulting Numbers: [35, 840] Generated Node #3: [35, 840] from Operation: 10*84=840 Current State: 24:[35, 840], Operations: ['86-2=84', '10*84=840'] Exploring Operation: 840/35=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 8, 22, 58, 51 ]
37
[ "8+22=30", "58-51=7", "30+7=37" ]
Current State: 37:[8, 22, 58, 51], Operations: [] Exploring Operation: 8+22=30, Resulting Numbers: [58, 51, 30] Generated Node #2: [58, 51, 30] from Operation: 8+22=30 Current State: 37:[58, 51, 30], Operations: ['8+22=30'] Exploring Operation: 58-51=7, Resulting Numbers: [30, 7] Generated Node #3: [30, 7] from Operation: 58-51=7 Current State: 37:[30, 7], Operations: ['8+22=30', '58-51=7'] Exploring Operation: 30+7=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 10, 65, 60, 20 ]
15
[ "65-10=55", "60-20=40", "55-40=15" ]
Current State: 15:[10, 65, 60, 20], Operations: [] Exploring Operation: 65-10=55, Resulting Numbers: [60, 20, 55] Generated Node #2: [60, 20, 55] from Operation: 65-10=55 Current State: 15:[60, 20, 55], Operations: ['65-10=55'] Exploring Operation: 60-20=40, Resulting Numbers: [55, 40] Generated Node #3: [55, 40] from Operation: 60-20=40 Current State: 15:[55, 40], Operations: ['65-10=55', '60-20=40'] Exploring Operation: 55-40=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 83, 16, 15, 6 ]
11
[ "83+16=99", "15-6=9", "99/9=11" ]
Current State: 11:[83, 16, 15, 6], Operations: [] Exploring Operation: 83+16=99, Resulting Numbers: [15, 6, 99] Generated Node #2: [15, 6, 99] from Operation: 83+16=99 Current State: 11:[15, 6, 99], Operations: ['83+16=99'] Exploring Operation: 15-6=9, Resulting Numbers: [99, 9] Generated Node #3: [99, 9] from Operation: 15-6=9 Current State: 11:[99, 9], Operations: ['83+16=99', '15-6=9'] Exploring Operation: 99/9=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 38, 49, 49, 57 ]
94
[ "38+57=95", "49/49=1", "95-1=94" ]
Current State: 94:[38, 49, 49, 57], Operations: [] Exploring Operation: 38+57=95, Resulting Numbers: [49, 49, 95] Generated Node #2: [49, 49, 95] from Operation: 38+57=95 Current State: 94:[49, 49, 95], Operations: ['38+57=95'] Exploring Operation: 49/49=1, Resulting Numbers: [95, 1] Generated Node #3: [95, 1] from Operation: 49/49=1 Current State: 94:[95, 1], Operations: ['38+57=95', '49/49=1'] Exploring Operation: 95-1=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 85, 62, 37, 70 ]
10
[ "85-62=23", "70-37=33", "33-23=10" ]
Current State: 10:[85, 62, 37, 70], Operations: [] Exploring Operation: 85-62=23, Resulting Numbers: [37, 70, 23] Generated Node #2: [37, 70, 23] from Operation: 85-62=23 Current State: 10:[37, 70, 23], Operations: ['85-62=23'] Exploring Operation: 70-37=33, Resulting Numbers: [23, 33] Generated Node #3: [23, 33] from Operation: 70-37=33 Current State: 10:[23, 33], Operations: ['85-62=23', '70-37=33'] Exploring Operation: 33-23=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 64, 6, 59, 56 ]
46
[ "59-56=3", "6*3=18", "64-18=46" ]
Current State: 46:[64, 6, 59, 56], Operations: [] Exploring Operation: 59-56=3, Resulting Numbers: [64, 6, 3] Generated Node #2: [64, 6, 3] from Operation: 59-56=3 Current State: 46:[64, 6, 3], Operations: ['59-56=3'] Exploring Operation: 6*3=18, Resulting Numbers: [64, 18] Generated Node #3: [64, 18] from Operation: 6*3=18 Current State: 46:[64, 18], Operations: ['59-56=3', '6*3=18'] Exploring Operation: 64-18=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 4, 2, 31, 61 ]
91
[ "4-2=2", "61*2=122", "122-31=91" ]
Current State: 91:[4, 2, 31, 61], Operations: [] Exploring Operation: 4-2=2, Resulting Numbers: [31, 61, 2] Generated Node #2: [31, 61, 2] from Operation: 4-2=2 Current State: 91:[31, 61, 2], Operations: ['4-2=2'] Exploring Operation: 61*2=122, Resulting Numbers: [31, 122] Generated Node #3: [31, 122] from Operation: 61*2=122 Current State: 91:[31, 122], Operations: ['4-2=2', '61*2=122'] Exploring Operation: 122-31=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 26, 30, 68, 25 ]
62
[ "30-25=5", "26*5=130", "130-68=62" ]
Current State: 62:[26, 30, 68, 25], Operations: [] Exploring Operation: 30-25=5, Resulting Numbers: [26, 68, 5] Generated Node #2: [26, 68, 5] from Operation: 30-25=5 Current State: 62:[26, 68, 5], Operations: ['30-25=5'] Exploring Operation: 26*5=130, Resulting Numbers: [68, 130] Generated Node #3: [68, 130] from Operation: 26*5=130 Current State: 62:[68, 130], Operations: ['30-25=5', '26*5=130'] Exploring Operation: 130-68=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 59, 3, 50, 6 ]
72
[ "59+3=62", "62-50=12", "6*12=72" ]
Current State: 72:[59, 3, 50, 6], Operations: [] Exploring Operation: 59+3=62, Resulting Numbers: [50, 6, 62] Generated Node #2: [50, 6, 62] from Operation: 59+3=62 Current State: 72:[50, 6, 62], Operations: ['59+3=62'] Exploring Operation: 62-50=12, Resulting Numbers: [6, 12] Generated Node #3: [6, 12] from Operation: 62-50=12 Current State: 72:[6, 12], Operations: ['59+3=62', '62-50=12'] Exploring Operation: 6*12=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 7, 10, 10, 36 ]
22
[ "10-7=3", "36/3=12", "10+12=22" ]
Current State: 22:[7, 10, 10, 36], Operations: [] Exploring Operation: 10-7=3, Resulting Numbers: [36, 3] Generated Node #2: [36, 3] from Operation: 10-7=3 Current State: 22:[36, 3], Operations: ['10-7=3'] Exploring Operation: 36/3=12, Resulting Numbers: [12] 12,22 equal: Goal Reached Exploring Operation: 10+12=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 5, 72, 43, 12 ]
42
[ "5+43=48", "72/12=6", "48-6=42" ]
Current State: 42:[5, 72, 43, 12], Operations: [] Exploring Operation: 5+43=48, Resulting Numbers: [72, 12, 48] Generated Node #2: [72, 12, 48] from Operation: 5+43=48 Current State: 42:[72, 12, 48], Operations: ['5+43=48'] Exploring Operation: 72/12=6, Resulting Numbers: [48, 6] Generated Node #3: [48, 6] from Operation: 72/12=6 Current State: 42:[48, 6], Operations: ['5+43=48', '72/12=6'] Exploring Operation: 48-6=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 71, 8, 31, 2 ]
56
[ "71-31=40", "8*2=16", "40+16=56" ]
Current State: 56:[71, 8, 31, 2], Operations: [] Exploring Operation: 71-31=40, Resulting Numbers: [8, 2, 40] Generated Node #2: [8, 2, 40] from Operation: 71-31=40 Current State: 56:[8, 2, 40], Operations: ['71-31=40'] Exploring Operation: 8*2=16, Resulting Numbers: [40, 16] Generated Node #3: [40, 16] from Operation: 8*2=16 Current State: 56:[40, 16], Operations: ['71-31=40', '8*2=16'] Exploring Operation: 40+16=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 49, 17, 77, 34 ]
23
[ "49+17=66", "77-34=43", "66-43=23" ]
Current State: 23:[49, 17, 77, 34], Operations: [] Exploring Operation: 49+17=66, Resulting Numbers: [77, 34, 66] Generated Node #2: [77, 34, 66] from Operation: 49+17=66 Current State: 23:[77, 34, 66], Operations: ['49+17=66'] Exploring Operation: 77-34=43, Resulting Numbers: [66, 43] Generated Node #3: [66, 43] from Operation: 77-34=43 Current State: 23:[66, 43], Operations: ['49+17=66', '77-34=43'] Exploring Operation: 66-43=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 39, 48, 33, 18 ]
35
[ "48-39=9", "18/9=2", "33+2=35" ]
Current State: 35:[39, 48, 33, 18], Operations: [] Exploring Operation: 48-39=9, Resulting Numbers: [33, 18, 9] Generated Node #2: [33, 18, 9] from Operation: 48-39=9 Current State: 35:[33, 18, 9], Operations: ['48-39=9'] Exploring Operation: 18/9=2, Resulting Numbers: [33, 2] Generated Node #3: [33, 2] from Operation: 18/9=2 Current State: 35:[33, 2], Operations: ['48-39=9', '18/9=2'] Exploring Operation: 33+2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 60, 11, 71, 71 ]
50
[ "60-11=49", "71/71=1", "49+1=50" ]
Current State: 50:[60, 11, 71, 71], Operations: [] Exploring Operation: 60-11=49, Resulting Numbers: [71, 71, 49] Generated Node #2: [71, 71, 49] from Operation: 60-11=49 Current State: 50:[71, 71, 49], Operations: ['60-11=49'] Exploring Operation: 71/71=1, Resulting Numbers: [49, 1] Generated Node #3: [49, 1] from Operation: 71/71=1 Current State: 50:[49, 1], Operations: ['60-11=49', '71/71=1'] Exploring Operation: 49+1=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 27, 2, 40, 22 ]
85
[ "27-22=5", "2*40=80", "5+80=85" ]
Current State: 85:[27, 2, 40, 22], Operations: [] Exploring Operation: 27-22=5, Resulting Numbers: [2, 40, 5] Generated Node #2: [2, 40, 5] from Operation: 27-22=5 Current State: 85:[2, 40, 5], Operations: ['27-22=5'] Exploring Operation: 2*40=80, Resulting Numbers: [5, 80] Generated Node #3: [5, 80] from Operation: 2*40=80 Current State: 85:[5, 80], Operations: ['27-22=5', '2*40=80'] Exploring Operation: 5+80=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 70, 62, 35, 37 ]
54
[ "37-35=2", "62*2=124", "124-70=54" ]
Current State: 54:[70, 62, 35, 37], Operations: [] Exploring Operation: 37-35=2, Resulting Numbers: [70, 62, 2] Generated Node #2: [70, 62, 2] from Operation: 37-35=2 Current State: 54:[70, 62, 2], Operations: ['37-35=2'] Exploring Operation: 62*2=124, Resulting Numbers: [70, 124] Generated Node #3: [70, 124] from Operation: 62*2=124 Current State: 54:[70, 124], Operations: ['37-35=2', '62*2=124'] Exploring Operation: 124-70=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 84, 70, 49, 44 ]
88
[ "84-49=35", "70*44=3080", "3080/35=88" ]
Current State: 88:[84, 70, 49, 44], Operations: [] Exploring Operation: 84-49=35, Resulting Numbers: [70, 44, 35] Generated Node #2: [70, 44, 35] from Operation: 84-49=35 Current State: 88:[70, 44, 35], Operations: ['84-49=35'] Exploring Operation: 70*44=3080, Resulting Numbers: [35, 3080] Generated Node #3: [35, 3080] from Operation: 70*44=3080 Current State: 88:[35, 3080], Operations: ['84-49=35', '70*44=3080'] Exploring Operation: 3080/35=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 4, 37, 58, 38 ]
21
[ "4+37=41", "58-38=20", "41-20=21" ]
Current State: 21:[4, 37, 58, 38], Operations: [] Exploring Operation: 4+37=41, Resulting Numbers: [58, 38, 41] Generated Node #2: [58, 38, 41] from Operation: 4+37=41 Current State: 21:[58, 38, 41], Operations: ['4+37=41'] Exploring Operation: 58-38=20, Resulting Numbers: [41, 20] Generated Node #3: [41, 20] from Operation: 58-38=20 Current State: 21:[41, 20], Operations: ['4+37=41', '58-38=20'] Exploring Operation: 41-20=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 56, 4, 28, 37 ]
13
[ "56-4=52", "28+37=65", "65-52=13" ]
Current State: 13:[56, 4, 28, 37], Operations: [] Exploring Operation: 56-4=52, Resulting Numbers: [28, 37, 52] Generated Node #2: [28, 37, 52] from Operation: 56-4=52 Current State: 13:[28, 37, 52], Operations: ['56-4=52'] Exploring Operation: 28+37=65, Resulting Numbers: [52, 65] Generated Node #3: [52, 65] from Operation: 28+37=65 Current State: 13:[52, 65], Operations: ['56-4=52', '28+37=65'] Exploring Operation: 65-52=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 80, 50, 70, 10 ]
65
[ "80+70=150", "150/10=15", "50+15=65" ]
Current State: 65:[80, 50, 70, 10], Operations: [] Exploring Operation: 80+70=150, Resulting Numbers: [50, 10, 150] Generated Node #2: [50, 10, 150] from Operation: 80+70=150 Current State: 65:[50, 10, 150], Operations: ['80+70=150'] Exploring Operation: 150/10=15, Resulting Numbers: [50, 15] Generated Node #3: [50, 15] from Operation: 150/10=15 Current State: 65:[50, 15], Operations: ['80+70=150', '150/10=15'] Exploring Operation: 50+15=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 49, 60, 78, 23 ]
43
[ "60+78=138", "138/23=6", "49-6=43" ]
Current State: 43:[49, 60, 78, 23], Operations: [] Exploring Operation: 60+78=138, Resulting Numbers: [49, 23, 138] Generated Node #2: [49, 23, 138] from Operation: 60+78=138 Current State: 43:[49, 23, 138], Operations: ['60+78=138'] Exploring Operation: 138/23=6, Resulting Numbers: [49, 6] Generated Node #3: [49, 6] from Operation: 138/23=6 Current State: 43:[49, 6], Operations: ['60+78=138', '138/23=6'] Exploring Operation: 49-6=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 4, 76, 74, 27 ]
25
[ "76-4=72", "74-27=47", "72-47=25" ]
Current State: 25:[4, 76, 74, 27], Operations: [] Exploring Operation: 76-4=72, Resulting Numbers: [74, 27, 72] Generated Node #2: [74, 27, 72] from Operation: 76-4=72 Current State: 25:[74, 27, 72], Operations: ['76-4=72'] Exploring Operation: 74-27=47, Resulting Numbers: [72, 47] Generated Node #3: [72, 47] from Operation: 74-27=47 Current State: 25:[72, 47], Operations: ['76-4=72', '74-27=47'] Exploring Operation: 72-47=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 47, 71, 75, 98 ]
55
[ "47+71=118", "75+98=173", "173-118=55" ]
Current State: 55:[47, 71, 75, 98], Operations: [] Exploring Operation: 47+71=118, Resulting Numbers: [75, 98, 118] Generated Node #2: [75, 98, 118] from Operation: 47+71=118 Current State: 55:[75, 98, 118], Operations: ['47+71=118'] Exploring Operation: 75+98=173, Resulting Numbers: [118, 173] Generated Node #3: [118, 173] from Operation: 75+98=173 Current State: 55:[118, 173], Operations: ['47+71=118', '75+98=173'] Exploring Operation: 173-118=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 72, 80, 45, 24 ]
15
[ "80-72=8", "45*8=360", "360/24=15" ]
Current State: 15:[72, 80, 45, 24], Operations: [] Exploring Operation: 80-72=8, Resulting Numbers: [45, 24, 8] Generated Node #2: [45, 24, 8] from Operation: 80-72=8 Current State: 15:[45, 24, 8], Operations: ['80-72=8'] Exploring Operation: 45*8=360, Resulting Numbers: [24, 360] Generated Node #3: [24, 360] from Operation: 45*8=360 Current State: 15:[24, 360], Operations: ['80-72=8', '45*8=360'] Exploring Operation: 360/24=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 97, 34, 37, 13 ]
39
[ "97-34=63", "37-13=24", "63-24=39" ]
Current State: 39:[97, 34, 37, 13], Operations: [] Exploring Operation: 97-34=63, Resulting Numbers: [37, 13, 63] Generated Node #2: [37, 13, 63] from Operation: 97-34=63 Current State: 39:[37, 13, 63], Operations: ['97-34=63'] Exploring Operation: 37-13=24, Resulting Numbers: [63, 24] Generated Node #3: [63, 24] from Operation: 37-13=24 Current State: 39:[63, 24], Operations: ['97-34=63', '37-13=24'] Exploring Operation: 63-24=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 25, 5, 36, 82 ]
23
[ "5+36=41", "82/41=2", "25-2=23" ]
Current State: 23:[25, 5, 36, 82], Operations: [] Exploring Operation: 5+36=41, Resulting Numbers: [25, 82, 41] Generated Node #2: [25, 82, 41] from Operation: 5+36=41 Current State: 23:[25, 82, 41], Operations: ['5+36=41'] Exploring Operation: 82/41=2, Resulting Numbers: [25, 2] Generated Node #3: [25, 2] from Operation: 82/41=2 Current State: 23:[25, 2], Operations: ['5+36=41', '82/41=2'] Exploring Operation: 25-2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 71, 45, 10, 80 ]
64
[ "71-45=26", "10+80=90", "90-26=64" ]
Current State: 64:[71, 45, 10, 80], Operations: [] Exploring Operation: 71-45=26, Resulting Numbers: [10, 80, 26] Generated Node #2: [10, 80, 26] from Operation: 71-45=26 Current State: 64:[10, 80, 26], Operations: ['71-45=26'] Exploring Operation: 10+80=90, Resulting Numbers: [26, 90] Generated Node #3: [26, 90] from Operation: 10+80=90 Current State: 64:[26, 90], Operations: ['71-45=26', '10+80=90'] Exploring Operation: 90-26=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 25, 67, 43, 23 ]
48
[ "25-23=2", "67-43=24", "2*24=48" ]
Current State: 48:[25, 67, 43, 23], Operations: [] Exploring Operation: 25-23=2, Resulting Numbers: [67, 43, 2] Generated Node #2: [67, 43, 2] from Operation: 25-23=2 Current State: 48:[67, 43, 2], Operations: ['25-23=2'] Exploring Operation: 67-43=24, Resulting Numbers: [2, 24] Generated Node #3: [2, 24] from Operation: 67-43=24 Current State: 48:[2, 24], Operations: ['25-23=2', '67-43=24'] Exploring Operation: 2*24=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 32, 16, 77, 10 ]
39
[ "32+16=48", "77+10=87", "87-48=39" ]
Current State: 39:[32, 16, 77, 10], Operations: [] Exploring Operation: 32+16=48, Resulting Numbers: [77, 10, 48] Generated Node #2: [77, 10, 48] from Operation: 32+16=48 Current State: 39:[77, 10, 48], Operations: ['32+16=48'] Exploring Operation: 77+10=87, Resulting Numbers: [48, 87] Generated Node #3: [48, 87] from Operation: 77+10=87 Current State: 39:[48, 87], Operations: ['32+16=48', '77+10=87'] Exploring Operation: 87-48=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 22, 32, 2, 2 ]
88
[ "22+2=24", "32*2=64", "24+64=88" ]
Current State: 88:[22, 32, 2, 2], Operations: [] Exploring Operation: 22+2=24, Resulting Numbers: [32, 24] Generated Node #2: [32, 24] from Operation: 22+2=24 Current State: 88:[32, 24], Operations: ['22+2=24'] Exploring Operation: 32*2=64, Resulting Numbers: [24, 64] Generated Node #3: [24, 64] from Operation: 32*2=64 Current State: 88:[24, 64], Operations: ['22+2=24', '32*2=64'] Exploring Operation: 24+64=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 76, 2, 87, 99 ]
34
[ "76*2=152", "87+99=186", "186-152=34" ]
Current State: 34:[76, 2, 87, 99], Operations: [] Exploring Operation: 76*2=152, Resulting Numbers: [87, 99, 152] Generated Node #2: [87, 99, 152] from Operation: 76*2=152 Current State: 34:[87, 99, 152], Operations: ['76*2=152'] Exploring Operation: 87+99=186, Resulting Numbers: [152, 186] Generated Node #3: [152, 186] from Operation: 87+99=186 Current State: 34:[152, 186], Operations: ['76*2=152', '87+99=186'] Exploring Operation: 186-152=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 30, 65, 63, 1 ]
15
[ "30*1=30", "65-63=2", "30/2=15" ]
Current State: 15:[30, 65, 63, 1], Operations: [] Exploring Operation: 30*1=30, Resulting Numbers: [65, 63, 30] Generated Node #2: [65, 63, 30] from Operation: 30*1=30 Current State: 15:[65, 63, 30], Operations: ['30*1=30'] Exploring Operation: 65-63=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 65-63=2 Current State: 15:[30, 2], Operations: ['30*1=30', '65-63=2'] Exploring Operation: 30/2=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 69, 10, 91, 49 ]
81
[ "69-10=59", "91+49=140", "140-59=81" ]
Current State: 81:[69, 10, 91, 49], Operations: [] Exploring Operation: 69-10=59, Resulting Numbers: [91, 49, 59] Generated Node #2: [91, 49, 59] from Operation: 69-10=59 Current State: 81:[91, 49, 59], Operations: ['69-10=59'] Exploring Operation: 91+49=140, Resulting Numbers: [59, 140] Generated Node #3: [59, 140] from Operation: 91+49=140 Current State: 81:[59, 140], Operations: ['69-10=59', '91+49=140'] Exploring Operation: 140-59=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 26, 16, 8, 43 ]
71
[ "26+43=69", "16/8=2", "69+2=71" ]
Current State: 71:[26, 16, 8, 43], Operations: [] Exploring Operation: 26+43=69, Resulting Numbers: [16, 8, 69] Generated Node #2: [16, 8, 69] from Operation: 26+43=69 Current State: 71:[16, 8, 69], Operations: ['26+43=69'] Exploring Operation: 16/8=2, Resulting Numbers: [69, 2] Generated Node #3: [69, 2] from Operation: 16/8=2 Current State: 71:[69, 2], Operations: ['26+43=69', '16/8=2'] Exploring Operation: 69+2=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 91, 80, 86, 12 ]
20
[ "91-86=5", "12*5=60", "80-60=20" ]
Current State: 20:[91, 80, 86, 12], Operations: [] Exploring Operation: 91-86=5, Resulting Numbers: [80, 12, 5] Generated Node #2: [80, 12, 5] from Operation: 91-86=5 Current State: 20:[80, 12, 5], Operations: ['91-86=5'] Exploring Operation: 12*5=60, Resulting Numbers: [80, 60] Generated Node #3: [80, 60] from Operation: 12*5=60 Current State: 20:[80, 60], Operations: ['91-86=5', '12*5=60'] Exploring Operation: 80-60=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 63, 91, 98, 43 ]
99
[ "63+91=154", "98-43=55", "154-55=99" ]
Current State: 99:[63, 91, 98, 43], Operations: [] Exploring Operation: 63+91=154, Resulting Numbers: [98, 43, 154] Generated Node #2: [98, 43, 154] from Operation: 63+91=154 Current State: 99:[98, 43, 154], Operations: ['63+91=154'] Exploring Operation: 98-43=55, Resulting Numbers: [154, 55] Generated Node #3: [154, 55] from Operation: 98-43=55 Current State: 99:[154, 55], Operations: ['63+91=154', '98-43=55'] Exploring Operation: 154-55=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 83, 6, 80, 80 ]
82
[ "83-80=3", "6/3=2", "80+2=82" ]
Current State: 82:[83, 6, 80, 80], Operations: [] Exploring Operation: 83-80=3, Resulting Numbers: [6, 3] Generated Node #2: [6, 3] from Operation: 83-80=3 Current State: 82:[6, 3], Operations: ['83-80=3'] Exploring Operation: 6/3=2, Resulting Numbers: [2] 2,82 equal: Goal Reached Exploring Operation: 80+2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 7, 97, 61, 70 ]
41
[ "97-7=90", "61+70=131", "131-90=41" ]
Current State: 41:[7, 97, 61, 70], Operations: [] Exploring Operation: 97-7=90, Resulting Numbers: [61, 70, 90] Generated Node #2: [61, 70, 90] from Operation: 97-7=90 Current State: 41:[61, 70, 90], Operations: ['97-7=90'] Exploring Operation: 61+70=131, Resulting Numbers: [90, 131] Generated Node #3: [90, 131] from Operation: 61+70=131 Current State: 41:[90, 131], Operations: ['97-7=90', '61+70=131'] Exploring Operation: 131-90=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 16, 8, 72, 66 ]
57
[ "16-8=8", "72/8=9", "66-9=57" ]
Current State: 57:[16, 8, 72, 66], Operations: [] Exploring Operation: 16-8=8, Resulting Numbers: [72, 66, 8] Generated Node #2: [72, 66, 8] from Operation: 16-8=8 Current State: 57:[72, 66, 8], Operations: ['16-8=8'] Exploring Operation: 72/8=9, Resulting Numbers: [66, 9] Generated Node #3: [66, 9] from Operation: 72/8=9 Current State: 57:[66, 9], Operations: ['16-8=8', '72/8=9'] Exploring Operation: 66-9=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 28, 85, 99, 70 ]
33
[ "99-85=14", "70/14=5", "28+5=33" ]
Current State: 33:[28, 85, 99, 70], Operations: [] Exploring Operation: 99-85=14, Resulting Numbers: [28, 70, 14] Generated Node #2: [28, 70, 14] from Operation: 99-85=14 Current State: 33:[28, 70, 14], Operations: ['99-85=14'] Exploring Operation: 70/14=5, Resulting Numbers: [28, 5] Generated Node #3: [28, 5] from Operation: 70/14=5 Current State: 33:[28, 5], Operations: ['99-85=14', '70/14=5'] Exploring Operation: 28+5=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 47, 67, 10, 30 ]
38
[ "47+67=114", "30/10=3", "114/3=38" ]
Current State: 38:[47, 67, 10, 30], Operations: [] Exploring Operation: 47+67=114, Resulting Numbers: [10, 30, 114] Generated Node #2: [10, 30, 114] from Operation: 47+67=114 Current State: 38:[10, 30, 114], Operations: ['47+67=114'] Exploring Operation: 30/10=3, Resulting Numbers: [114, 3] Generated Node #3: [114, 3] from Operation: 30/10=3 Current State: 38:[114, 3], Operations: ['47+67=114', '30/10=3'] Exploring Operation: 114/3=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 53, 30, 29, 66 ]
12
[ "53+30=83", "29+66=95", "95-83=12" ]
Current State: 12:[53, 30, 29, 66], Operations: [] Exploring Operation: 53+30=83, Resulting Numbers: [29, 66, 83] Generated Node #2: [29, 66, 83] from Operation: 53+30=83 Current State: 12:[29, 66, 83], Operations: ['53+30=83'] Exploring Operation: 29+66=95, Resulting Numbers: [83, 95] Generated Node #3: [83, 95] from Operation: 29+66=95 Current State: 12:[83, 95], Operations: ['53+30=83', '29+66=95'] Exploring Operation: 95-83=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 3, 84, 96, 93 ]
97
[ "96-84=12", "12/3=4", "93+4=97" ]
Current State: 97:[3, 84, 96, 93], Operations: [] Exploring Operation: 96-84=12, Resulting Numbers: [3, 93, 12] Generated Node #2: [3, 93, 12] from Operation: 96-84=12 Current State: 97:[3, 93, 12], Operations: ['96-84=12'] Exploring Operation: 12/3=4, Resulting Numbers: [93, 4] Generated Node #3: [93, 4] from Operation: 12/3=4 Current State: 97:[93, 4], Operations: ['96-84=12', '12/3=4'] Exploring Operation: 93+4=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 26, 87, 65, 64 ]
62
[ "87-26=61", "65-64=1", "61+1=62" ]
Current State: 62:[26, 87, 65, 64], Operations: [] Exploring Operation: 87-26=61, Resulting Numbers: [65, 64, 61] Generated Node #2: [65, 64, 61] from Operation: 87-26=61 Current State: 62:[65, 64, 61], Operations: ['87-26=61'] Exploring Operation: 65-64=1, Resulting Numbers: [61, 1] Generated Node #3: [61, 1] from Operation: 65-64=1 Current State: 62:[61, 1], Operations: ['87-26=61', '65-64=1'] Exploring Operation: 61+1=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 53, 46, 8, 7 ]
63
[ "53-46=7", "8*7=56", "7+56=63" ]
Current State: 63:[53, 46, 8, 7], Operations: [] Exploring Operation: 53-46=7, Resulting Numbers: [8, 7, 7] Generated Node #2: [8, 7, 7] from Operation: 53-46=7 Current State: 63:[8, 7, 7], Operations: ['53-46=7'] Exploring Operation: 8*7=56, Resulting Numbers: [56] 56,63 equal: Goal Reached Exploring Operation: 7+56=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 21, 31, 94, 23 ]
20
[ "94-31=63", "63/21=3", "23-3=20" ]
Current State: 20:[21, 31, 94, 23], Operations: [] Exploring Operation: 94-31=63, Resulting Numbers: [21, 23, 63] Generated Node #2: [21, 23, 63] from Operation: 94-31=63 Current State: 20:[21, 23, 63], Operations: ['94-31=63'] Exploring Operation: 63/21=3, Resulting Numbers: [23, 3] Generated Node #3: [23, 3] from Operation: 63/21=3 Current State: 20:[23, 3], Operations: ['94-31=63', '63/21=3'] Exploring Operation: 23-3=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 7, 86, 10, 17 ]
66
[ "7+86=93", "10+17=27", "93-27=66" ]
Current State: 66:[7, 86, 10, 17], Operations: [] Exploring Operation: 7+86=93, Resulting Numbers: [10, 17, 93] Generated Node #2: [10, 17, 93] from Operation: 7+86=93 Current State: 66:[10, 17, 93], Operations: ['7+86=93'] Exploring Operation: 10+17=27, Resulting Numbers: [93, 27] Generated Node #3: [93, 27] from Operation: 10+17=27 Current State: 66:[93, 27], Operations: ['7+86=93', '10+17=27'] Exploring Operation: 93-27=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 14, 93, 61, 91 ]
94
[ "61-14=47", "93-91=2", "47*2=94" ]
Current State: 94:[14, 93, 61, 91], Operations: [] Exploring Operation: 61-14=47, Resulting Numbers: [93, 91, 47] Generated Node #2: [93, 91, 47] from Operation: 61-14=47 Current State: 94:[93, 91, 47], Operations: ['61-14=47'] Exploring Operation: 93-91=2, Resulting Numbers: [47, 2] Generated Node #3: [47, 2] from Operation: 93-91=2 Current State: 94:[47, 2], Operations: ['61-14=47', '93-91=2'] Exploring Operation: 47*2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 1, 49, 86, 45 ]
91
[ "1+49=50", "86-45=41", "50+41=91" ]
Current State: 91:[1, 49, 86, 45], Operations: [] Exploring Operation: 1+49=50, Resulting Numbers: [86, 45, 50] Generated Node #2: [86, 45, 50] from Operation: 1+49=50 Current State: 91:[86, 45, 50], Operations: ['1+49=50'] Exploring Operation: 86-45=41, Resulting Numbers: [50, 41] Generated Node #3: [50, 41] from Operation: 86-45=41 Current State: 91:[50, 41], Operations: ['1+49=50', '86-45=41'] Exploring Operation: 50+41=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 25, 91, 46, 2 ]
65
[ "91-46=45", "2*45=90", "90-25=65" ]
Current State: 65:[25, 91, 46, 2], Operations: [] Exploring Operation: 91-46=45, Resulting Numbers: [25, 2, 45] Generated Node #2: [25, 2, 45] from Operation: 91-46=45 Current State: 65:[25, 2, 45], Operations: ['91-46=45'] Exploring Operation: 2*45=90, Resulting Numbers: [25, 90] Generated Node #3: [25, 90] from Operation: 2*45=90 Current State: 65:[25, 90], Operations: ['91-46=45', '2*45=90'] Exploring Operation: 90-25=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 68, 1, 95, 64 ]
24
[ "68-64=4", "1+95=96", "96/4=24" ]
Current State: 24:[68, 1, 95, 64], Operations: [] Exploring Operation: 68-64=4, Resulting Numbers: [1, 95, 4] Generated Node #2: [1, 95, 4] from Operation: 68-64=4 Current State: 24:[1, 95, 4], Operations: ['68-64=4'] Exploring Operation: 1+95=96, Resulting Numbers: [4, 96] Generated Node #3: [4, 96] from Operation: 1+95=96 Current State: 24:[4, 96], Operations: ['68-64=4', '1+95=96'] Exploring Operation: 96/4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 43, 65, 6, 97 ]
16
[ "65+97=162", "162/6=27", "43-27=16" ]
Current State: 16:[43, 65, 6, 97], Operations: [] Exploring Operation: 65+97=162, Resulting Numbers: [43, 6, 162] Generated Node #2: [43, 6, 162] from Operation: 65+97=162 Current State: 16:[43, 6, 162], Operations: ['65+97=162'] Exploring Operation: 162/6=27, Resulting Numbers: [43, 27] Generated Node #3: [43, 27] from Operation: 162/6=27 Current State: 16:[43, 27], Operations: ['65+97=162', '162/6=27'] Exploring Operation: 43-27=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 15, 65, 27, 30 ]
77
[ "15+65=80", "30-27=3", "80-3=77" ]
Current State: 77:[15, 65, 27, 30], Operations: [] Exploring Operation: 15+65=80, Resulting Numbers: [27, 30, 80] Generated Node #2: [27, 30, 80] from Operation: 15+65=80 Current State: 77:[27, 30, 80], Operations: ['15+65=80'] Exploring Operation: 30-27=3, Resulting Numbers: [80, 3] Generated Node #3: [80, 3] from Operation: 30-27=3 Current State: 77:[80, 3], Operations: ['15+65=80', '30-27=3'] Exploring Operation: 80-3=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 55, 80, 63, 82 ]
92
[ "63-55=8", "80/8=10", "82+10=92" ]
Current State: 92:[55, 80, 63, 82], Operations: [] Exploring Operation: 63-55=8, Resulting Numbers: [80, 82, 8] Generated Node #2: [80, 82, 8] from Operation: 63-55=8 Current State: 92:[80, 82, 8], Operations: ['63-55=8'] Exploring Operation: 80/8=10, Resulting Numbers: [82, 10] Generated Node #3: [82, 10] from Operation: 80/8=10 Current State: 92:[82, 10], Operations: ['63-55=8', '80/8=10'] Exploring Operation: 82+10=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 48, 98, 35, 42 ]
57
[ "98-48=50", "42-35=7", "50+7=57" ]
Current State: 57:[48, 98, 35, 42], Operations: [] Exploring Operation: 98-48=50, Resulting Numbers: [35, 42, 50] Generated Node #2: [35, 42, 50] from Operation: 98-48=50 Current State: 57:[35, 42, 50], Operations: ['98-48=50'] Exploring Operation: 42-35=7, Resulting Numbers: [50, 7] Generated Node #3: [50, 7] from Operation: 42-35=7 Current State: 57:[50, 7], Operations: ['98-48=50', '42-35=7'] Exploring Operation: 50+7=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 36, 7, 78, 10 ]
16
[ "78-36=42", "42/7=6", "10+6=16" ]
Current State: 16:[36, 7, 78, 10], Operations: [] Exploring Operation: 78-36=42, Resulting Numbers: [7, 10, 42] Generated Node #2: [7, 10, 42] from Operation: 78-36=42 Current State: 16:[7, 10, 42], Operations: ['78-36=42'] Exploring Operation: 42/7=6, Resulting Numbers: [10, 6] Generated Node #3: [10, 6] from Operation: 42/7=6 Current State: 16:[10, 6], Operations: ['78-36=42', '42/7=6'] Exploring Operation: 10+6=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 24, 63, 91, 72 ]
80
[ "91*72=6552", "6552/63=104", "104-24=80" ]
Current State: 80:[24, 63, 91, 72], Operations: [] Exploring Operation: 91*72=6552, Resulting Numbers: [24, 63, 6552] Generated Node #2: [24, 63, 6552] from Operation: 91*72=6552 Current State: 80:[24, 63, 6552], Operations: ['91*72=6552'] Exploring Operation: 6552/63=104, Resulting Numbers: [24, 104] Generated Node #3: [24, 104] from Operation: 6552/63=104 Current State: 80:[24, 104], Operations: ['91*72=6552', '6552/63=104'] Exploring Operation: 104-24=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 71, 28, 74, 76 ]
51
[ "71+28=99", "74+76=150", "150-99=51" ]
Current State: 51:[71, 28, 74, 76], Operations: [] Exploring Operation: 71+28=99, Resulting Numbers: [74, 76, 99] Generated Node #2: [74, 76, 99] from Operation: 71+28=99 Current State: 51:[74, 76, 99], Operations: ['71+28=99'] Exploring Operation: 74+76=150, Resulting Numbers: [99, 150] Generated Node #3: [99, 150] from Operation: 74+76=150 Current State: 51:[99, 150], Operations: ['71+28=99', '74+76=150'] Exploring Operation: 150-99=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 80, 20, 40, 7 ]
71
[ "80-7=73", "40/20=2", "73-2=71" ]
Current State: 71:[80, 20, 40, 7], Operations: [] Exploring Operation: 80-7=73, Resulting Numbers: [20, 40, 73] Generated Node #2: [20, 40, 73] from Operation: 80-7=73 Current State: 71:[20, 40, 73], Operations: ['80-7=73'] Exploring Operation: 40/20=2, Resulting Numbers: [73, 2] Generated Node #3: [73, 2] from Operation: 40/20=2 Current State: 71:[73, 2], Operations: ['80-7=73', '40/20=2'] Exploring Operation: 73-2=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 29, 63, 58, 92 ]
34
[ "58/29=2", "63*2=126", "126-92=34" ]
Current State: 34:[29, 63, 58, 92], Operations: [] Exploring Operation: 58/29=2, Resulting Numbers: [63, 92, 2] Generated Node #2: [63, 92, 2] from Operation: 58/29=2 Current State: 34:[63, 92, 2], Operations: ['58/29=2'] Exploring Operation: 63*2=126, Resulting Numbers: [92, 126] Generated Node #3: [92, 126] from Operation: 63*2=126 Current State: 34:[92, 126], Operations: ['58/29=2', '63*2=126'] Exploring Operation: 126-92=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 75, 3, 80, 23 ]
96
[ "80-23=57", "3*57=171", "171-75=96" ]
Current State: 96:[75, 3, 80, 23], Operations: [] Exploring Operation: 80-23=57, Resulting Numbers: [75, 3, 57] Generated Node #2: [75, 3, 57] from Operation: 80-23=57 Current State: 96:[75, 3, 57], Operations: ['80-23=57'] Exploring Operation: 3*57=171, Resulting Numbers: [75, 171] Generated Node #3: [75, 171] from Operation: 3*57=171 Current State: 96:[75, 171], Operations: ['80-23=57', '3*57=171'] Exploring Operation: 171-75=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 46, 47, 11, 50 ]
79
[ "50-47=3", "11*3=33", "46+33=79" ]
Current State: 79:[46, 47, 11, 50], Operations: [] Exploring Operation: 50-47=3, Resulting Numbers: [46, 11, 3] Generated Node #2: [46, 11, 3] from Operation: 50-47=3 Current State: 79:[46, 11, 3], Operations: ['50-47=3'] Exploring Operation: 11*3=33, Resulting Numbers: [46, 33] Generated Node #3: [46, 33] from Operation: 11*3=33 Current State: 79:[46, 33], Operations: ['50-47=3', '11*3=33'] Exploring Operation: 46+33=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 53, 17, 51, 9 ]
25
[ "53-51=2", "17*2=34", "34-9=25" ]
Current State: 25:[53, 17, 51, 9], Operations: [] Exploring Operation: 53-51=2, Resulting Numbers: [17, 9, 2] Generated Node #2: [17, 9, 2] from Operation: 53-51=2 Current State: 25:[17, 9, 2], Operations: ['53-51=2'] Exploring Operation: 17*2=34, Resulting Numbers: [9, 34] Generated Node #3: [9, 34] from Operation: 17*2=34 Current State: 25:[9, 34], Operations: ['53-51=2', '17*2=34'] Exploring Operation: 34-9=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 73, 45, 77, 84 ]
24
[ "77-73=4", "84/4=21", "45-21=24" ]
Current State: 24:[73, 45, 77, 84], Operations: [] Exploring Operation: 77-73=4, Resulting Numbers: [45, 84, 4] Generated Node #2: [45, 84, 4] from Operation: 77-73=4 Current State: 24:[45, 84, 4], Operations: ['77-73=4'] Exploring Operation: 84/4=21, Resulting Numbers: [45, 21] Generated Node #3: [45, 21] from Operation: 84/4=21 Current State: 24:[45, 21], Operations: ['77-73=4', '84/4=21'] Exploring Operation: 45-21=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 57, 13, 73, 13 ]
15
[ "73-57=16", "13/13=1", "16-1=15" ]
Current State: 15:[57, 13, 73, 13], Operations: [] Exploring Operation: 73-57=16, Resulting Numbers: [13, 13, 16] Generated Node #2: [13, 13, 16] from Operation: 73-57=16 Current State: 15:[13, 13, 16], Operations: ['73-57=16'] Exploring Operation: 13/13=1, Resulting Numbers: [16, 1] Generated Node #3: [16, 1] from Operation: 13/13=1 Current State: 15:[16, 1], Operations: ['73-57=16', '13/13=1'] Exploring Operation: 16-1=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 58, 43, 61, 93 ]
47
[ "58-43=15", "93-61=32", "15+32=47" ]
Current State: 47:[58, 43, 61, 93], Operations: [] Exploring Operation: 58-43=15, Resulting Numbers: [61, 93, 15] Generated Node #2: [61, 93, 15] from Operation: 58-43=15 Current State: 47:[61, 93, 15], Operations: ['58-43=15'] Exploring Operation: 93-61=32, Resulting Numbers: [15, 32] Generated Node #3: [15, 32] from Operation: 93-61=32 Current State: 47:[15, 32], Operations: ['58-43=15', '93-61=32'] Exploring Operation: 15+32=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 53, 45, 59, 42 ]
56
[ "59-45=14", "42/14=3", "53+3=56" ]
Current State: 56:[53, 45, 59, 42], Operations: [] Exploring Operation: 59-45=14, Resulting Numbers: [53, 42, 14] Generated Node #2: [53, 42, 14] from Operation: 59-45=14 Current State: 56:[53, 42, 14], Operations: ['59-45=14'] Exploring Operation: 42/14=3, Resulting Numbers: [53, 3] Generated Node #3: [53, 3] from Operation: 42/14=3 Current State: 56:[53, 3], Operations: ['59-45=14', '42/14=3'] Exploring Operation: 53+3=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 65, 60, 84, 51 ]
66
[ "65-51=14", "84/14=6", "60+6=66" ]
Current State: 66:[65, 60, 84, 51], Operations: [] Exploring Operation: 65-51=14, Resulting Numbers: [60, 84, 14] Generated Node #2: [60, 84, 14] from Operation: 65-51=14 Current State: 66:[60, 84, 14], Operations: ['65-51=14'] Exploring Operation: 84/14=6, Resulting Numbers: [60, 6] Generated Node #3: [60, 6] from Operation: 84/14=6 Current State: 66:[60, 6], Operations: ['65-51=14', '84/14=6'] Exploring Operation: 60+6=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 69, 17, 85, 43 ]
94
[ "69-17=52", "85-43=42", "52+42=94" ]
Current State: 94:[69, 17, 85, 43], Operations: [] Exploring Operation: 69-17=52, Resulting Numbers: [85, 43, 52] Generated Node #2: [85, 43, 52] from Operation: 69-17=52 Current State: 94:[85, 43, 52], Operations: ['69-17=52'] Exploring Operation: 85-43=42, Resulting Numbers: [52, 42] Generated Node #3: [52, 42] from Operation: 85-43=42 Current State: 94:[52, 42], Operations: ['69-17=52', '85-43=42'] Exploring Operation: 52+42=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 42, 41, 81, 20 ]
83
[ "41-20=21", "42/21=2", "81+2=83" ]
Current State: 83:[42, 41, 81, 20], Operations: [] Exploring Operation: 41-20=21, Resulting Numbers: [42, 81, 21] Generated Node #2: [42, 81, 21] from Operation: 41-20=21 Current State: 83:[42, 81, 21], Operations: ['41-20=21'] Exploring Operation: 42/21=2, Resulting Numbers: [81, 2] Generated Node #3: [81, 2] from Operation: 42/21=2 Current State: 83:[81, 2], Operations: ['41-20=21', '42/21=2'] Exploring Operation: 81+2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 30, 66, 17, 29 ]
10
[ "66-30=36", "17+29=46", "46-36=10" ]
Current State: 10:[30, 66, 17, 29], Operations: [] Exploring Operation: 66-30=36, Resulting Numbers: [17, 29, 36] Generated Node #2: [17, 29, 36] from Operation: 66-30=36 Current State: 10:[17, 29, 36], Operations: ['66-30=36'] Exploring Operation: 17+29=46, Resulting Numbers: [36, 46] Generated Node #3: [36, 46] from Operation: 17+29=46 Current State: 10:[36, 46], Operations: ['66-30=36', '17+29=46'] Exploring Operation: 46-36=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 80, 75, 73, 27 ]
20
[ "80-75=5", "73+27=100", "100/5=20" ]
Current State: 20:[80, 75, 73, 27], Operations: [] Exploring Operation: 80-75=5, Resulting Numbers: [73, 27, 5] Generated Node #2: [73, 27, 5] from Operation: 80-75=5 Current State: 20:[73, 27, 5], Operations: ['80-75=5'] Exploring Operation: 73+27=100, Resulting Numbers: [5, 100] Generated Node #3: [5, 100] from Operation: 73+27=100 Current State: 20:[5, 100], Operations: ['80-75=5', '73+27=100'] Exploring Operation: 100/5=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 26, 64, 66, 87 ]
59
[ "64-26=38", "87-66=21", "38+21=59" ]
Current State: 59:[26, 64, 66, 87], Operations: [] Exploring Operation: 64-26=38, Resulting Numbers: [66, 87, 38] Generated Node #2: [66, 87, 38] from Operation: 64-26=38 Current State: 59:[66, 87, 38], Operations: ['64-26=38'] Exploring Operation: 87-66=21, Resulting Numbers: [38, 21] Generated Node #3: [38, 21] from Operation: 87-66=21 Current State: 59:[38, 21], Operations: ['64-26=38', '87-66=21'] Exploring Operation: 38+21=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 7, 52, 84, 53 ]
78
[ "7+52=59", "84+53=137", "137-59=78" ]
Current State: 78:[7, 52, 84, 53], Operations: [] Exploring Operation: 7+52=59, Resulting Numbers: [84, 53, 59] Generated Node #2: [84, 53, 59] from Operation: 7+52=59 Current State: 78:[84, 53, 59], Operations: ['7+52=59'] Exploring Operation: 84+53=137, Resulting Numbers: [59, 137] Generated Node #3: [59, 137] from Operation: 84+53=137 Current State: 78:[59, 137], Operations: ['7+52=59', '84+53=137'] Exploring Operation: 137-59=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 29, 54, 88, 33 ]
85
[ "54+33=87", "87/29=3", "88-3=85" ]
Current State: 85:[29, 54, 88, 33], Operations: [] Exploring Operation: 54+33=87, Resulting Numbers: [29, 88, 87] Generated Node #2: [29, 88, 87] from Operation: 54+33=87 Current State: 85:[29, 88, 87], Operations: ['54+33=87'] Exploring Operation: 87/29=3, Resulting Numbers: [88, 3] Generated Node #3: [88, 3] from Operation: 87/29=3 Current State: 85:[88, 3], Operations: ['54+33=87', '87/29=3'] Exploring Operation: 88-3=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 6, 44, 96, 76 ]
18
[ "44-6=38", "96-76=20", "38-20=18" ]
Current State: 18:[6, 44, 96, 76], Operations: [] Exploring Operation: 44-6=38, Resulting Numbers: [96, 76, 38] Generated Node #2: [96, 76, 38] from Operation: 44-6=38 Current State: 18:[96, 76, 38], Operations: ['44-6=38'] Exploring Operation: 96-76=20, Resulting Numbers: [38, 20] Generated Node #3: [38, 20] from Operation: 96-76=20 Current State: 18:[38, 20], Operations: ['44-6=38', '96-76=20'] Exploring Operation: 38-20=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 52, 1, 54, 40 ]
20
[ "52*1=52", "54-52=2", "40/2=20" ]
Current State: 20:[52, 1, 54, 40], Operations: [] Exploring Operation: 52*1=52, Resulting Numbers: [54, 40, 52] Generated Node #2: [54, 40, 52] from Operation: 52*1=52 Current State: 20:[54, 40, 52], Operations: ['52*1=52'] Exploring Operation: 54-52=2, Resulting Numbers: [40, 2] Generated Node #3: [40, 2] from Operation: 54-52=2 Current State: 20:[40, 2], Operations: ['52*1=52', '54-52=2'] Exploring Operation: 40/2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 28, 23, 18, 13 ]
69
[ "28-18=10", "13-10=3", "23*3=69" ]
Current State: 69:[28, 23, 18, 13], Operations: [] Exploring Operation: 28-18=10, Resulting Numbers: [23, 13, 10] Generated Node #2: [23, 13, 10] from Operation: 28-18=10 Current State: 69:[23, 13, 10], Operations: ['28-18=10'] Exploring Operation: 13-10=3, Resulting Numbers: [23, 3] Generated Node #3: [23, 3] from Operation: 13-10=3 Current State: 69:[23, 3], Operations: ['28-18=10', '13-10=3'] Exploring Operation: 23*3=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 19, 29, 49, 2 ]
54
[ "29-19=10", "10/2=5", "49+5=54" ]
Current State: 54:[19, 29, 49, 2], Operations: [] Exploring Operation: 29-19=10, Resulting Numbers: [49, 2, 10] Generated Node #2: [49, 2, 10] from Operation: 29-19=10 Current State: 54:[49, 2, 10], Operations: ['29-19=10'] Exploring Operation: 10/2=5, Resulting Numbers: [49, 5] Generated Node #3: [49, 5] from Operation: 10/2=5 Current State: 54:[49, 5], Operations: ['29-19=10', '10/2=5'] Exploring Operation: 49+5=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 60, 20, 5, 10 ]
11
[ "20-10=10", "60/10=6", "5+6=11" ]
Current State: 11:[60, 20, 5, 10], Operations: [] Exploring Operation: 20-10=10, Resulting Numbers: [60, 5, 10] Generated Node #2: [60, 5, 10] from Operation: 20-10=10 Current State: 11:[60, 5, 10], Operations: ['20-10=10'] Exploring Operation: 60/10=6, Resulting Numbers: [5, 6] Generated Node #3: [5, 6] from Operation: 60/10=6 Current State: 11:[5, 6], Operations: ['20-10=10', '60/10=6'] Exploring Operation: 5+6=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 36, 87, 7, 61 ]
88
[ "61-36=25", "7*25=175", "175-87=88" ]
Current State: 88:[36, 87, 7, 61], Operations: [] Exploring Operation: 61-36=25, Resulting Numbers: [87, 7, 25] Generated Node #2: [87, 7, 25] from Operation: 61-36=25 Current State: 88:[87, 7, 25], Operations: ['61-36=25'] Exploring Operation: 7*25=175, Resulting Numbers: [87, 175] Generated Node #3: [87, 175] from Operation: 7*25=175 Current State: 88:[87, 175], Operations: ['61-36=25', '7*25=175'] Exploring Operation: 175-87=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 84, 1, 73, 40 ]
30
[ "84-1=83", "73+40=113", "113-83=30" ]
Current State: 30:[84, 1, 73, 40], Operations: [] Exploring Operation: 84-1=83, Resulting Numbers: [73, 40, 83] Generated Node #2: [73, 40, 83] from Operation: 84-1=83 Current State: 30:[73, 40, 83], Operations: ['84-1=83'] Exploring Operation: 73+40=113, Resulting Numbers: [83, 113] Generated Node #3: [83, 113] from Operation: 73+40=113 Current State: 30:[83, 113], Operations: ['84-1=83', '73+40=113'] Exploring Operation: 113-83=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 61, 82, 7, 4 ]
63
[ "82-61=21", "7-4=3", "21*3=63" ]
Current State: 63:[61, 82, 7, 4], Operations: [] Exploring Operation: 82-61=21, Resulting Numbers: [7, 4, 21] Generated Node #2: [7, 4, 21] from Operation: 82-61=21 Current State: 63:[7, 4, 21], Operations: ['82-61=21'] Exploring Operation: 7-4=3, Resulting Numbers: [21, 3] Generated Node #3: [21, 3] from Operation: 7-4=3 Current State: 63:[21, 3], Operations: ['82-61=21', '7-4=3'] Exploring Operation: 21*3=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 13, 42, 53, 10 ]
20
[ "13+42=55", "55-53=2", "10*2=20" ]
Current State: 20:[13, 42, 53, 10], Operations: [] Exploring Operation: 13+42=55, Resulting Numbers: [53, 10, 55] Generated Node #2: [53, 10, 55] from Operation: 13+42=55 Current State: 20:[53, 10, 55], Operations: ['13+42=55'] Exploring Operation: 55-53=2, Resulting Numbers: [10, 2] Generated Node #3: [10, 2] from Operation: 55-53=2 Current State: 20:[10, 2], Operations: ['13+42=55', '55-53=2'] Exploring Operation: 10*2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 31, 1, 54, 90 ]
66
[ "31-1=30", "90-54=36", "30+36=66" ]
Current State: 66:[31, 1, 54, 90], Operations: [] Exploring Operation: 31-1=30, Resulting Numbers: [54, 90, 30] Generated Node #2: [54, 90, 30] from Operation: 31-1=30 Current State: 66:[54, 90, 30], Operations: ['31-1=30'] Exploring Operation: 90-54=36, Resulting Numbers: [30, 36] Generated Node #3: [30, 36] from Operation: 90-54=36 Current State: 66:[30, 36], Operations: ['31-1=30', '90-54=36'] Exploring Operation: 30+36=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 79, 89, 49, 45 ]
40
[ "89-79=10", "49-45=4", "10*4=40" ]
Current State: 40:[79, 89, 49, 45], Operations: [] Exploring Operation: 89-79=10, Resulting Numbers: [49, 45, 10] Generated Node #2: [49, 45, 10] from Operation: 89-79=10 Current State: 40:[49, 45, 10], Operations: ['89-79=10'] Exploring Operation: 49-45=4, Resulting Numbers: [10, 4] Generated Node #3: [10, 4] from Operation: 49-45=4 Current State: 40:[10, 4], Operations: ['89-79=10', '49-45=4'] Exploring Operation: 10*4=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4