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
[ 90, 64, 83, 1 ]
71
[ "90+64=154", "83*1=83", "154-83=71" ]
Current State: 71:[90, 64, 83, 1], Operations: [] Exploring Operation: 90+64=154, Resulting Numbers: [83, 1, 154] Generated Node #2: [83, 1, 154] from Operation: 90+64=154 Current State: 71:[83, 1, 154], Operations: ['90+64=154'] Exploring Operation: 83*1=83, Resulting Numbers: [154, 83] Generated Node #3: [154, 83] from Operation: 83*1=83 Current State: 71:[154, 83], Operations: ['90+64=154', '83*1=83'] Exploring Operation: 154-83=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 16, 52, 31, 27 ]
56
[ "31-27=4", "16/4=4", "52+4=56" ]
Current State: 56:[16, 52, 31, 27], Operations: [] Exploring Operation: 31-27=4, Resulting Numbers: [16, 52, 4] Generated Node #2: [16, 52, 4] from Operation: 31-27=4 Current State: 56:[16, 52, 4], Operations: ['31-27=4'] Exploring Operation: 16/4=4, Resulting Numbers: [52, 4] Generated Node #3: [52, 4] from Operation: 16/4=4 Current State: 56:[52, 4], Operations: ['31-27=4', '16/4=4'] Exploring Operation: 52+4=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 68, 15, 79, 63 ]
76
[ "68-63=5", "15/5=3", "79-3=76" ]
Current State: 76:[68, 15, 79, 63], Operations: [] Exploring Operation: 68-63=5, Resulting Numbers: [15, 79, 5] Generated Node #2: [15, 79, 5] from Operation: 68-63=5 Current State: 76:[15, 79, 5], Operations: ['68-63=5'] Exploring Operation: 15/5=3, Resulting Numbers: [79, 3] Generated Node #3: [79, 3] from Operation: 15/5=3 Current State: 76:[79, 3], Operations: ['68-63=5', '15/5=3'] Exploring Operation: 79-3=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 39, 68, 92, 80 ]
17
[ "68-39=29", "92-80=12", "29-12=17" ]
Current State: 17:[39, 68, 92, 80], Operations: [] Exploring Operation: 68-39=29, Resulting Numbers: [92, 80, 29] Generated Node #2: [92, 80, 29] from Operation: 68-39=29 Current State: 17:[92, 80, 29], Operations: ['68-39=29'] Exploring Operation: 92-80=12, Resulting Numbers: [29, 12] Generated Node #3: [29, 12] from Operation: 92-80=12 Current State: 17:[29, 12], Operations: ['68-39=29', '92-80=12'] Exploring Operation: 29-12=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 85, 28, 90, 17 ]
40
[ "85+28=113", "90-17=73", "113-73=40" ]
Current State: 40:[85, 28, 90, 17], Operations: [] Exploring Operation: 85+28=113, Resulting Numbers: [90, 17, 113] Generated Node #2: [90, 17, 113] from Operation: 85+28=113 Current State: 40:[90, 17, 113], Operations: ['85+28=113'] Exploring Operation: 90-17=73, Resulting Numbers: [113, 73] Generated Node #3: [113, 73] from Operation: 90-17=73 Current State: 40:[113, 73], Operations: ['85+28=113', '90-17=73'] Exploring Operation: 113-73=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 60, 98, 13, 99 ]
95
[ "99-60=39", "39/13=3", "98-3=95" ]
Current State: 95:[60, 98, 13, 99], Operations: [] Exploring Operation: 99-60=39, Resulting Numbers: [98, 13, 39] Generated Node #2: [98, 13, 39] from Operation: 99-60=39 Current State: 95:[98, 13, 39], Operations: ['99-60=39'] Exploring Operation: 39/13=3, Resulting Numbers: [98, 3] Generated Node #3: [98, 3] from Operation: 39/13=3 Current State: 95:[98, 3], Operations: ['99-60=39', '39/13=3'] Exploring Operation: 98-3=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 31, 16, 7, 4 ]
18
[ "31-16=15", "7-4=3", "15+3=18" ]
Current State: 18:[31, 16, 7, 4], Operations: [] Exploring Operation: 31-16=15, Resulting Numbers: [7, 4, 15] Generated Node #2: [7, 4, 15] from Operation: 31-16=15 Current State: 18:[7, 4, 15], Operations: ['31-16=15'] Exploring Operation: 7-4=3, Resulting Numbers: [15, 3] Generated Node #3: [15, 3] from Operation: 7-4=3 Current State: 18:[15, 3], Operations: ['31-16=15', '7-4=3'] Exploring Operation: 15+3=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 72, 38, 66, 2 ]
88
[ "72+38=110", "66+110=176", "176/2=88" ]
Current State: 88:[72, 38, 66, 2], Operations: [] Exploring Operation: 72+38=110, Resulting Numbers: [66, 2, 110] Generated Node #2: [66, 2, 110] from Operation: 72+38=110 Current State: 88:[66, 2, 110], Operations: ['72+38=110'] Exploring Operation: 66+110=176, Resulting Numbers: [2, 176] Generated Node #3: [2, 176] from Operation: 66+110=176 Current State: 88:[2, 176], Operations: ['72+38=110', '66+110=176'] Exploring Operation: 176/2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 2, 41, 6, 24 ]
29
[ "2*6=12", "41-24=17", "12+17=29" ]
Current State: 29:[2, 41, 6, 24], Operations: [] Exploring Operation: 2*6=12, Resulting Numbers: [41, 24, 12] Generated Node #2: [41, 24, 12] from Operation: 2*6=12 Current State: 29:[41, 24, 12], Operations: ['2*6=12'] Exploring Operation: 41-24=17, Resulting Numbers: [12, 17] Generated Node #3: [12, 17] from Operation: 41-24=17 Current State: 29:[12, 17], Operations: ['2*6=12', '41-24=17'] Exploring Operation: 12+17=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 13, 12, 79, 26 ]
28
[ "13+12=25", "79-26=53", "53-25=28" ]
Current State: 28:[13, 12, 79, 26], Operations: [] Exploring Operation: 13+12=25, Resulting Numbers: [79, 26, 25] Generated Node #2: [79, 26, 25] from Operation: 13+12=25 Current State: 28:[79, 26, 25], Operations: ['13+12=25'] Exploring Operation: 79-26=53, Resulting Numbers: [25, 53] Generated Node #3: [25, 53] from Operation: 79-26=53 Current State: 28:[25, 53], Operations: ['13+12=25', '79-26=53'] Exploring Operation: 53-25=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 12, 88, 62, 59 ]
21
[ "12+88=100", "62+59=121", "121-100=21" ]
Current State: 21:[12, 88, 62, 59], Operations: [] Exploring Operation: 12+88=100, Resulting Numbers: [62, 59, 100] Generated Node #2: [62, 59, 100] from Operation: 12+88=100 Current State: 21:[62, 59, 100], Operations: ['12+88=100'] Exploring Operation: 62+59=121, Resulting Numbers: [100, 121] Generated Node #3: [100, 121] from Operation: 62+59=121 Current State: 21:[100, 121], Operations: ['12+88=100', '62+59=121'] Exploring Operation: 121-100=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 68, 2, 24, 82 ]
52
[ "82-68=14", "2*14=28", "24+28=52" ]
Current State: 52:[68, 2, 24, 82], Operations: [] Exploring Operation: 82-68=14, Resulting Numbers: [2, 24, 14] Generated Node #2: [2, 24, 14] from Operation: 82-68=14 Current State: 52:[2, 24, 14], Operations: ['82-68=14'] Exploring Operation: 2*14=28, Resulting Numbers: [24, 28] Generated Node #3: [24, 28] from Operation: 2*14=28 Current State: 52:[24, 28], Operations: ['82-68=14', '2*14=28'] Exploring Operation: 24+28=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 94, 25, 13, 75 ]
31
[ "94+25=119", "13+75=88", "119-88=31" ]
Current State: 31:[94, 25, 13, 75], Operations: [] Exploring Operation: 94+25=119, Resulting Numbers: [13, 75, 119] Generated Node #2: [13, 75, 119] from Operation: 94+25=119 Current State: 31:[13, 75, 119], Operations: ['94+25=119'] Exploring Operation: 13+75=88, Resulting Numbers: [119, 88] Generated Node #3: [119, 88] from Operation: 13+75=88 Current State: 31:[119, 88], Operations: ['94+25=119', '13+75=88'] Exploring Operation: 119-88=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 96, 68, 16, 14 ]
76
[ "96+16=112", "112/14=8", "68+8=76" ]
Current State: 76:[96, 68, 16, 14], Operations: [] Exploring Operation: 96+16=112, Resulting Numbers: [68, 14, 112] Generated Node #2: [68, 14, 112] from Operation: 96+16=112 Current State: 76:[68, 14, 112], Operations: ['96+16=112'] Exploring Operation: 112/14=8, Resulting Numbers: [68, 8] Generated Node #3: [68, 8] from Operation: 112/14=8 Current State: 76:[68, 8], Operations: ['96+16=112', '112/14=8'] Exploring Operation: 68+8=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 9, 74, 21, 3 ]
68
[ "9*3=27", "74+21=95", "95-27=68" ]
Current State: 68:[9, 74, 21, 3], Operations: [] Exploring Operation: 9*3=27, Resulting Numbers: [74, 21, 27] Generated Node #2: [74, 21, 27] from Operation: 9*3=27 Current State: 68:[74, 21, 27], Operations: ['9*3=27'] Exploring Operation: 74+21=95, Resulting Numbers: [27, 95] Generated Node #3: [27, 95] from Operation: 74+21=95 Current State: 68:[27, 95], Operations: ['9*3=27', '74+21=95'] Exploring Operation: 95-27=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 63, 57, 60, 90 ]
45
[ "63+57=120", "60*90=5400", "5400/120=45" ]
Current State: 45:[63, 57, 60, 90], Operations: [] Exploring Operation: 63+57=120, Resulting Numbers: [60, 90, 120] Generated Node #2: [60, 90, 120] from Operation: 63+57=120 Current State: 45:[60, 90, 120], Operations: ['63+57=120'] Exploring Operation: 60*90=5400, Resulting Numbers: [120, 5400] Generated Node #3: [120, 5400] from Operation: 60*90=5400 Current State: 45:[120, 5400], Operations: ['63+57=120', '60*90=5400'] Exploring Operation: 5400/120=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 93, 70, 2, 33 ]
89
[ "93-70=23", "2*33=66", "23+66=89" ]
Current State: 89:[93, 70, 2, 33], Operations: [] Exploring Operation: 93-70=23, Resulting Numbers: [2, 33, 23] Generated Node #2: [2, 33, 23] from Operation: 93-70=23 Current State: 89:[2, 33, 23], Operations: ['93-70=23'] Exploring Operation: 2*33=66, Resulting Numbers: [23, 66] Generated Node #3: [23, 66] from Operation: 2*33=66 Current State: 89:[23, 66], Operations: ['93-70=23', '2*33=66'] Exploring Operation: 23+66=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 38, 94, 94, 31 ]
38
[ "94-94=0", "31*0=0", "38+0=38" ]
Current State: 38:[38, 94, 94, 31], Operations: [] Exploring Operation: 94-94=0, Resulting Numbers: [38, 31, 0] Generated Node #2: [38, 31, 0] from Operation: 94-94=0 Current State: 38:[38, 31, 0], Operations: ['94-94=0'] Exploring Operation: 31*0=0, Resulting Numbers: [38, 0] Generated Node #3: [38, 0] from Operation: 31*0=0 Current State: 38:[38, 0], Operations: ['94-94=0', '31*0=0'] Exploring Operation: 38+0=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 9, 12, 33, 53 ]
48
[ "12+33=45", "45/9=5", "53-5=48" ]
Current State: 48:[9, 12, 33, 53], Operations: [] Exploring Operation: 12+33=45, Resulting Numbers: [9, 53, 45] Generated Node #2: [9, 53, 45] from Operation: 12+33=45 Current State: 48:[9, 53, 45], Operations: ['12+33=45'] Exploring Operation: 45/9=5, Resulting Numbers: [53, 5] Generated Node #3: [53, 5] from Operation: 45/9=5 Current State: 48:[53, 5], Operations: ['12+33=45', '45/9=5'] Exploring Operation: 53-5=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 31, 79, 17, 11 ]
35
[ "79-11=68", "68/17=4", "31+4=35" ]
Current State: 35:[31, 79, 17, 11], Operations: [] Exploring Operation: 79-11=68, Resulting Numbers: [31, 17, 68] Generated Node #2: [31, 17, 68] from Operation: 79-11=68 Current State: 35:[31, 17, 68], Operations: ['79-11=68'] Exploring Operation: 68/17=4, Resulting Numbers: [31, 4] Generated Node #3: [31, 4] from Operation: 68/17=4 Current State: 35:[31, 4], Operations: ['79-11=68', '68/17=4'] Exploring Operation: 31+4=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 29, 86, 28, 25 ]
79
[ "29-25=4", "28/4=7", "86-7=79" ]
Current State: 79:[29, 86, 28, 25], Operations: [] Exploring Operation: 29-25=4, Resulting Numbers: [86, 28, 4] Generated Node #2: [86, 28, 4] from Operation: 29-25=4 Current State: 79:[86, 28, 4], Operations: ['29-25=4'] Exploring Operation: 28/4=7, Resulting Numbers: [86, 7] Generated Node #3: [86, 7] from Operation: 28/4=7 Current State: 79:[86, 7], Operations: ['29-25=4', '28/4=7'] Exploring Operation: 86-7=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 7, 87, 42, 69 ]
12
[ "42/7=6", "87-69=18", "18-6=12" ]
Current State: 12:[7, 87, 42, 69], Operations: [] Exploring Operation: 42/7=6, Resulting Numbers: [87, 69, 6] Generated Node #2: [87, 69, 6] from Operation: 42/7=6 Current State: 12:[87, 69, 6], Operations: ['42/7=6'] Exploring Operation: 87-69=18, Resulting Numbers: [6, 18] Generated Node #3: [6, 18] from Operation: 87-69=18 Current State: 12:[6, 18], Operations: ['42/7=6', '87-69=18'] Exploring Operation: 18-6=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 77, 76, 36, 35 ]
70
[ "77-76=1", "36+35=71", "71-1=70" ]
Current State: 70:[77, 76, 36, 35], Operations: [] Exploring Operation: 77-76=1, Resulting Numbers: [36, 35, 1] Generated Node #2: [36, 35, 1] from Operation: 77-76=1 Current State: 70:[36, 35, 1], Operations: ['77-76=1'] Exploring Operation: 36+35=71, Resulting Numbers: [1, 71] Generated Node #3: [1, 71] from Operation: 36+35=71 Current State: 70:[1, 71], Operations: ['77-76=1', '36+35=71'] Exploring Operation: 71-1=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 73, 43, 45, 95 ]
20
[ "73-43=30", "95-45=50", "50-30=20" ]
Current State: 20:[73, 43, 45, 95], Operations: [] Exploring Operation: 73-43=30, Resulting Numbers: [45, 95, 30] Generated Node #2: [45, 95, 30] from Operation: 73-43=30 Current State: 20:[45, 95, 30], Operations: ['73-43=30'] Exploring Operation: 95-45=50, Resulting Numbers: [30, 50] Generated Node #3: [30, 50] from Operation: 95-45=50 Current State: 20:[30, 50], Operations: ['73-43=30', '95-45=50'] Exploring Operation: 50-30=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 13, 45, 20, 38 ]
33
[ "45+20=65", "65/13=5", "38-5=33" ]
Current State: 33:[13, 45, 20, 38], Operations: [] Exploring Operation: 45+20=65, Resulting Numbers: [13, 38, 65] Generated Node #2: [13, 38, 65] from Operation: 45+20=65 Current State: 33:[13, 38, 65], Operations: ['45+20=65'] Exploring Operation: 65/13=5, Resulting Numbers: [38, 5] Generated Node #3: [38, 5] from Operation: 65/13=5 Current State: 33:[38, 5], Operations: ['45+20=65', '65/13=5'] Exploring Operation: 38-5=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 69, 15, 72, 90 ]
85
[ "72-69=3", "15/3=5", "90-5=85" ]
Current State: 85:[69, 15, 72, 90], Operations: [] Exploring Operation: 72-69=3, Resulting Numbers: [15, 90, 3] Generated Node #2: [15, 90, 3] from Operation: 72-69=3 Current State: 85:[15, 90, 3], Operations: ['72-69=3'] Exploring Operation: 15/3=5, Resulting Numbers: [90, 5] Generated Node #3: [90, 5] from Operation: 15/3=5 Current State: 85:[90, 5], Operations: ['72-69=3', '15/3=5'] Exploring Operation: 90-5=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 23, 37, 57, 3 ]
49
[ "23*3=69", "57-37=20", "69-20=49" ]
Current State: 49:[23, 37, 57, 3], Operations: [] Exploring Operation: 23*3=69, Resulting Numbers: [37, 57, 69] Generated Node #2: [37, 57, 69] from Operation: 23*3=69 Current State: 49:[37, 57, 69], Operations: ['23*3=69'] Exploring Operation: 57-37=20, Resulting Numbers: [69, 20] Generated Node #3: [69, 20] from Operation: 57-37=20 Current State: 49:[69, 20], Operations: ['23*3=69', '57-37=20'] Exploring Operation: 69-20=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 86, 95, 74, 99 ]
40
[ "86+74=160", "99-95=4", "160/4=40" ]
Current State: 40:[86, 95, 74, 99], Operations: [] Exploring Operation: 86+74=160, Resulting Numbers: [95, 99, 160] Generated Node #2: [95, 99, 160] from Operation: 86+74=160 Current State: 40:[95, 99, 160], Operations: ['86+74=160'] Exploring Operation: 99-95=4, Resulting Numbers: [160, 4] Generated Node #3: [160, 4] from Operation: 99-95=4 Current State: 40:[160, 4], Operations: ['86+74=160', '99-95=4'] Exploring Operation: 160/4=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 7, 51, 5, 21 ]
70
[ "51-7=44", "5+21=26", "44+26=70" ]
Current State: 70:[7, 51, 5, 21], Operations: [] Exploring Operation: 51-7=44, Resulting Numbers: [5, 21, 44] Generated Node #2: [5, 21, 44] from Operation: 51-7=44 Current State: 70:[5, 21, 44], Operations: ['51-7=44'] Exploring Operation: 5+21=26, Resulting Numbers: [44, 26] Generated Node #3: [44, 26] from Operation: 5+21=26 Current State: 70:[44, 26], Operations: ['51-7=44', '5+21=26'] Exploring Operation: 44+26=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 85, 17, 24, 89 ]
11
[ "85+17=102", "24+89=113", "113-102=11" ]
Current State: 11:[85, 17, 24, 89], Operations: [] Exploring Operation: 85+17=102, Resulting Numbers: [24, 89, 102] Generated Node #2: [24, 89, 102] from Operation: 85+17=102 Current State: 11:[24, 89, 102], Operations: ['85+17=102'] Exploring Operation: 24+89=113, Resulting Numbers: [102, 113] Generated Node #3: [102, 113] from Operation: 24+89=113 Current State: 11:[102, 113], Operations: ['85+17=102', '24+89=113'] Exploring Operation: 113-102=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 19, 87, 55, 84 ]
39
[ "87-19=68", "84-55=29", "68-29=39" ]
Current State: 39:[19, 87, 55, 84], Operations: [] Exploring Operation: 87-19=68, Resulting Numbers: [55, 84, 68] Generated Node #2: [55, 84, 68] from Operation: 87-19=68 Current State: 39:[55, 84, 68], Operations: ['87-19=68'] Exploring Operation: 84-55=29, Resulting Numbers: [68, 29] Generated Node #3: [68, 29] from Operation: 84-55=29 Current State: 39:[68, 29], Operations: ['87-19=68', '84-55=29'] Exploring Operation: 68-29=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 78, 18, 31, 81 ]
39
[ "81-78=3", "31-18=13", "3*13=39" ]
Current State: 39:[78, 18, 31, 81], Operations: [] Exploring Operation: 81-78=3, Resulting Numbers: [18, 31, 3] Generated Node #2: [18, 31, 3] from Operation: 81-78=3 Current State: 39:[18, 31, 3], Operations: ['81-78=3'] Exploring Operation: 31-18=13, Resulting Numbers: [3, 13] Generated Node #3: [3, 13] from Operation: 31-18=13 Current State: 39:[3, 13], Operations: ['81-78=3', '31-18=13'] Exploring Operation: 3*13=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 30, 17, 15, 58 ]
56
[ "30-17=13", "58-15=43", "13+43=56" ]
Current State: 56:[30, 17, 15, 58], Operations: [] Exploring Operation: 30-17=13, Resulting Numbers: [15, 58, 13] Generated Node #2: [15, 58, 13] from Operation: 30-17=13 Current State: 56:[15, 58, 13], Operations: ['30-17=13'] Exploring Operation: 58-15=43, Resulting Numbers: [13, 43] Generated Node #3: [13, 43] from Operation: 58-15=43 Current State: 56:[13, 43], Operations: ['30-17=13', '58-15=43'] Exploring Operation: 13+43=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 30, 36, 88, 17 ]
65
[ "36-30=6", "88-17=71", "71-6=65" ]
Current State: 65:[30, 36, 88, 17], Operations: [] Exploring Operation: 36-30=6, Resulting Numbers: [88, 17, 6] Generated Node #2: [88, 17, 6] from Operation: 36-30=6 Current State: 65:[88, 17, 6], Operations: ['36-30=6'] Exploring Operation: 88-17=71, Resulting Numbers: [6, 71] Generated Node #3: [6, 71] from Operation: 88-17=71 Current State: 65:[6, 71], Operations: ['36-30=6', '88-17=71'] Exploring Operation: 71-6=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 8, 55, 41, 44 ]
77
[ "55-41=14", "44*14=616", "616/8=77" ]
Current State: 77:[8, 55, 41, 44], Operations: [] Exploring Operation: 55-41=14, Resulting Numbers: [8, 44, 14] Generated Node #2: [8, 44, 14] from Operation: 55-41=14 Current State: 77:[8, 44, 14], Operations: ['55-41=14'] Exploring Operation: 44*14=616, Resulting Numbers: [8, 616] Generated Node #3: [8, 616] from Operation: 44*14=616 Current State: 77:[8, 616], Operations: ['55-41=14', '44*14=616'] Exploring Operation: 616/8=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 29, 37, 18, 12 ]
78
[ "37-29=8", "12*8=96", "96-18=78" ]
Current State: 78:[29, 37, 18, 12], Operations: [] Exploring Operation: 37-29=8, Resulting Numbers: [18, 12, 8] Generated Node #2: [18, 12, 8] from Operation: 37-29=8 Current State: 78:[18, 12, 8], Operations: ['37-29=8'] Exploring Operation: 12*8=96, Resulting Numbers: [18, 96] Generated Node #3: [18, 96] from Operation: 12*8=96 Current State: 78:[18, 96], Operations: ['37-29=8', '12*8=96'] Exploring Operation: 96-18=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 16, 99, 43, 28 ]
99
[ "43-16=27", "28-27=1", "99*1=99" ]
Current State: 99:[16, 99, 43, 28], Operations: [] Exploring Operation: 43-16=27, Resulting Numbers: [99, 28, 27] Generated Node #2: [99, 28, 27] from Operation: 43-16=27 Current State: 99:[99, 28, 27], Operations: ['43-16=27'] Exploring Operation: 28-27=1, Resulting Numbers: [99, 1] Generated Node #3: [99, 1] from Operation: 28-27=1 Current State: 99:[99, 1], Operations: ['43-16=27', '28-27=1'] Exploring Operation: 99*1=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 84, 6, 30, 94 ]
91
[ "84+6=90", "90/30=3", "94-3=91" ]
Current State: 91:[84, 6, 30, 94], Operations: [] Exploring Operation: 84+6=90, Resulting Numbers: [30, 94, 90] Generated Node #2: [30, 94, 90] from Operation: 84+6=90 Current State: 91:[30, 94, 90], Operations: ['84+6=90'] Exploring Operation: 90/30=3, Resulting Numbers: [94, 3] Generated Node #3: [94, 3] from Operation: 90/30=3 Current State: 91:[94, 3], Operations: ['84+6=90', '90/30=3'] Exploring Operation: 94-3=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 48, 78, 70, 27 ]
29
[ "48+78=126", "70+27=97", "126-97=29" ]
Current State: 29:[48, 78, 70, 27], Operations: [] Exploring Operation: 48+78=126, Resulting Numbers: [70, 27, 126] Generated Node #2: [70, 27, 126] from Operation: 48+78=126 Current State: 29:[70, 27, 126], Operations: ['48+78=126'] Exploring Operation: 70+27=97, Resulting Numbers: [126, 97] Generated Node #3: [126, 97] from Operation: 70+27=97 Current State: 29:[126, 97], Operations: ['48+78=126', '70+27=97'] Exploring Operation: 126-97=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 75, 19, 98, 25 ]
76
[ "75/25=3", "98-19=79", "79-3=76" ]
Current State: 76:[75, 19, 98, 25], Operations: [] Exploring Operation: 75/25=3, Resulting Numbers: [19, 98, 3] Generated Node #2: [19, 98, 3] from Operation: 75/25=3 Current State: 76:[19, 98, 3], Operations: ['75/25=3'] Exploring Operation: 98-19=79, Resulting Numbers: [3, 79] Generated Node #3: [3, 79] from Operation: 98-19=79 Current State: 76:[3, 79], Operations: ['75/25=3', '98-19=79'] Exploring Operation: 79-3=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 5, 10, 40, 93 ]
83
[ "5*10=50", "40+93=133", "133-50=83" ]
Current State: 83:[5, 10, 40, 93], Operations: [] Exploring Operation: 5*10=50, Resulting Numbers: [40, 93, 50] Generated Node #2: [40, 93, 50] from Operation: 5*10=50 Current State: 83:[40, 93, 50], Operations: ['5*10=50'] Exploring Operation: 40+93=133, Resulting Numbers: [50, 133] Generated Node #3: [50, 133] from Operation: 40+93=133 Current State: 83:[50, 133], Operations: ['5*10=50', '40+93=133'] Exploring Operation: 133-50=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 62, 67, 46, 2 ]
18
[ "67-62=5", "46/2=23", "23-5=18" ]
Current State: 18:[62, 67, 46, 2], Operations: [] Exploring Operation: 67-62=5, Resulting Numbers: [46, 2, 5] Generated Node #2: [46, 2, 5] from Operation: 67-62=5 Current State: 18:[46, 2, 5], Operations: ['67-62=5'] Exploring Operation: 46/2=23, Resulting Numbers: [5, 23] Generated Node #3: [5, 23] from Operation: 46/2=23 Current State: 18:[5, 23], Operations: ['67-62=5', '46/2=23'] Exploring Operation: 23-5=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 6, 5, 79, 71 ]
31
[ "6*71=426", "5*79=395", "426-395=31" ]
Current State: 31:[6, 5, 79, 71], Operations: [] Exploring Operation: 6*71=426, Resulting Numbers: [5, 79, 426] Generated Node #2: [5, 79, 426] from Operation: 6*71=426 Current State: 31:[5, 79, 426], Operations: ['6*71=426'] Exploring Operation: 5*79=395, Resulting Numbers: [426, 395] Generated Node #3: [426, 395] from Operation: 5*79=395 Current State: 31:[426, 395], Operations: ['6*71=426', '5*79=395'] Exploring Operation: 426-395=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 51, 9, 95, 27 ]
41
[ "95-51=44", "27/9=3", "44-3=41" ]
Current State: 41:[51, 9, 95, 27], Operations: [] Exploring Operation: 95-51=44, Resulting Numbers: [9, 27, 44] Generated Node #2: [9, 27, 44] from Operation: 95-51=44 Current State: 41:[9, 27, 44], Operations: ['95-51=44'] Exploring Operation: 27/9=3, Resulting Numbers: [44, 3] Generated Node #3: [44, 3] from Operation: 27/9=3 Current State: 41:[44, 3], Operations: ['95-51=44', '27/9=3'] Exploring Operation: 44-3=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 33, 66, 37, 8 ]
17
[ "33+66=99", "37+99=136", "136/8=17" ]
Current State: 17:[33, 66, 37, 8], Operations: [] Exploring Operation: 33+66=99, Resulting Numbers: [37, 8, 99] Generated Node #2: [37, 8, 99] from Operation: 33+66=99 Current State: 17:[37, 8, 99], Operations: ['33+66=99'] Exploring Operation: 37+99=136, Resulting Numbers: [8, 136] Generated Node #3: [8, 136] from Operation: 37+99=136 Current State: 17:[8, 136], Operations: ['33+66=99', '37+99=136'] Exploring Operation: 136/8=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 83, 61, 37, 81 ]
49
[ "83-81=2", "61+37=98", "98/2=49" ]
Current State: 49:[83, 61, 37, 81], Operations: [] Exploring Operation: 83-81=2, Resulting Numbers: [61, 37, 2] Generated Node #2: [61, 37, 2] from Operation: 83-81=2 Current State: 49:[61, 37, 2], Operations: ['83-81=2'] Exploring Operation: 61+37=98, Resulting Numbers: [2, 98] Generated Node #3: [2, 98] from Operation: 61+37=98 Current State: 49:[2, 98], Operations: ['83-81=2', '61+37=98'] Exploring Operation: 98/2=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 49, 11, 88, 19 ]
37
[ "49*19=931", "11*88=968", "968-931=37" ]
Current State: 37:[49, 11, 88, 19], Operations: [] Exploring Operation: 49*19=931, Resulting Numbers: [11, 88, 931] Generated Node #2: [11, 88, 931] from Operation: 49*19=931 Current State: 37:[11, 88, 931], Operations: ['49*19=931'] Exploring Operation: 11*88=968, Resulting Numbers: [931, 968] Generated Node #3: [931, 968] from Operation: 11*88=968 Current State: 37:[931, 968], Operations: ['49*19=931', '11*88=968'] Exploring Operation: 968-931=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 62, 61, 31, 37 ]
69
[ "62-61=1", "31+37=68", "1+68=69" ]
Current State: 69:[62, 61, 31, 37], Operations: [] Exploring Operation: 62-61=1, Resulting Numbers: [31, 37, 1] Generated Node #2: [31, 37, 1] from Operation: 62-61=1 Current State: 69:[31, 37, 1], Operations: ['62-61=1'] Exploring Operation: 31+37=68, Resulting Numbers: [1, 68] Generated Node #3: [1, 68] from Operation: 31+37=68 Current State: 69:[1, 68], Operations: ['62-61=1', '31+37=68'] Exploring Operation: 1+68=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 22, 92, 98, 19 ]
92
[ "22+92=114", "114/19=6", "98-6=92" ]
Current State: 92:[22, 92, 98, 19], Operations: [] Exploring Operation: 22+92=114, Resulting Numbers: [98, 19, 114] Generated Node #2: [98, 19, 114] from Operation: 22+92=114 Current State: 92:[98, 19, 114], Operations: ['22+92=114'] Exploring Operation: 114/19=6, Resulting Numbers: [98, 6] Generated Node #3: [98, 6] from Operation: 114/19=6 Current State: 92:[98, 6], Operations: ['22+92=114', '114/19=6'] Exploring Operation: 98-6=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 24, 86, 24, 79 ]
55
[ "24+86=110", "79-24=55", "110-55=55" ]
Current State: 55:[24, 86, 24, 79], Operations: [] Exploring Operation: 24+86=110, Resulting Numbers: [79, 110] Generated Node #2: [79, 110] from Operation: 24+86=110 Current State: 55:[79, 110], Operations: ['24+86=110'] Exploring Operation: 79-24=55, Resulting Numbers: [110, 55] Generated Node #3: [110, 55] from Operation: 79-24=55 Current State: 55:[110, 55], Operations: ['24+86=110', '79-24=55'] Exploring Operation: 110-55=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 76, 9, 45, 2 ]
32
[ "9+45=54", "2*54=108", "108-76=32" ]
Current State: 32:[76, 9, 45, 2], Operations: [] Exploring Operation: 9+45=54, Resulting Numbers: [76, 2, 54] Generated Node #2: [76, 2, 54] from Operation: 9+45=54 Current State: 32:[76, 2, 54], Operations: ['9+45=54'] Exploring Operation: 2*54=108, Resulting Numbers: [76, 108] Generated Node #3: [76, 108] from Operation: 2*54=108 Current State: 32:[76, 108], Operations: ['9+45=54', '2*54=108'] Exploring Operation: 108-76=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 19, 11, 57, 4 ]
53
[ "19-11=8", "57+4=61", "61-8=53" ]
Current State: 53:[19, 11, 57, 4], Operations: [] Exploring Operation: 19-11=8, Resulting Numbers: [57, 4, 8] Generated Node #2: [57, 4, 8] from Operation: 19-11=8 Current State: 53:[57, 4, 8], Operations: ['19-11=8'] Exploring Operation: 57+4=61, Resulting Numbers: [8, 61] Generated Node #3: [8, 61] from Operation: 57+4=61 Current State: 53:[8, 61], Operations: ['19-11=8', '57+4=61'] Exploring Operation: 61-8=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 22, 53, 77, 16 ]
92
[ "53-22=31", "77-16=61", "31+61=92" ]
Current State: 92:[22, 53, 77, 16], Operations: [] Exploring Operation: 53-22=31, Resulting Numbers: [77, 16, 31] Generated Node #2: [77, 16, 31] from Operation: 53-22=31 Current State: 92:[77, 16, 31], Operations: ['53-22=31'] Exploring Operation: 77-16=61, Resulting Numbers: [31, 61] Generated Node #3: [31, 61] from Operation: 77-16=61 Current State: 92:[31, 61], Operations: ['53-22=31', '77-16=61'] Exploring Operation: 31+61=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 65, 39, 35, 75 ]
52
[ "65+35=100", "39*100=3900", "3900/75=52" ]
Current State: 52:[65, 39, 35, 75], Operations: [] Exploring Operation: 65+35=100, Resulting Numbers: [39, 75, 100] Generated Node #2: [39, 75, 100] from Operation: 65+35=100 Current State: 52:[39, 75, 100], Operations: ['65+35=100'] Exploring Operation: 39*100=3900, Resulting Numbers: [75, 3900] Generated Node #3: [75, 3900] from Operation: 39*100=3900 Current State: 52:[75, 3900], Operations: ['65+35=100', '39*100=3900'] Exploring Operation: 3900/75=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 90, 15, 47, 10 ]
41
[ "90/10=9", "47-15=32", "9+32=41" ]
Current State: 41:[90, 15, 47, 10], Operations: [] Exploring Operation: 90/10=9, Resulting Numbers: [15, 47, 9] Generated Node #2: [15, 47, 9] from Operation: 90/10=9 Current State: 41:[15, 47, 9], Operations: ['90/10=9'] Exploring Operation: 47-15=32, Resulting Numbers: [9, 32] Generated Node #3: [9, 32] from Operation: 47-15=32 Current State: 41:[9, 32], Operations: ['90/10=9', '47-15=32'] Exploring Operation: 9+32=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 2, 91, 95, 68 ]
37
[ "95-68=27", "2*27=54", "91-54=37" ]
Current State: 37:[2, 91, 95, 68], Operations: [] Exploring Operation: 95-68=27, Resulting Numbers: [2, 91, 27] Generated Node #2: [2, 91, 27] from Operation: 95-68=27 Current State: 37:[2, 91, 27], Operations: ['95-68=27'] Exploring Operation: 2*27=54, Resulting Numbers: [91, 54] Generated Node #3: [91, 54] from Operation: 2*27=54 Current State: 37:[91, 54], Operations: ['95-68=27', '2*27=54'] Exploring Operation: 91-54=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 1, 64, 61, 31 ]
34
[ "1*64=64", "61-31=30", "64-30=34" ]
Current State: 34:[1, 64, 61, 31], Operations: [] Exploring Operation: 1*64=64, Resulting Numbers: [61, 31, 64] Generated Node #2: [61, 31, 64] from Operation: 1*64=64 Current State: 34:[61, 31, 64], Operations: ['1*64=64'] Exploring Operation: 61-31=30, Resulting Numbers: [64, 30] Generated Node #3: [64, 30] from Operation: 61-31=30 Current State: 34:[64, 30], Operations: ['1*64=64', '61-31=30'] Exploring Operation: 64-30=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 32, 4, 65, 13 ]
86
[ "32/4=8", "65+13=78", "8+78=86" ]
Current State: 86:[32, 4, 65, 13], Operations: [] Exploring Operation: 32/4=8, Resulting Numbers: [65, 13, 8] Generated Node #2: [65, 13, 8] from Operation: 32/4=8 Current State: 86:[65, 13, 8], Operations: ['32/4=8'] Exploring Operation: 65+13=78, Resulting Numbers: [8, 78] Generated Node #3: [8, 78] from Operation: 65+13=78 Current State: 86:[8, 78], Operations: ['32/4=8', '65+13=78'] Exploring Operation: 8+78=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 60, 57, 10, 24 ]
62
[ "60-57=3", "24*3=72", "72-10=62" ]
Current State: 62:[60, 57, 10, 24], Operations: [] Exploring Operation: 60-57=3, Resulting Numbers: [10, 24, 3] Generated Node #2: [10, 24, 3] from Operation: 60-57=3 Current State: 62:[10, 24, 3], Operations: ['60-57=3'] Exploring Operation: 24*3=72, Resulting Numbers: [10, 72] Generated Node #3: [10, 72] from Operation: 24*3=72 Current State: 62:[10, 72], Operations: ['60-57=3', '24*3=72'] Exploring Operation: 72-10=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 58, 90, 80, 55 ]
41
[ "58*55=3190", "90+3190=3280", "3280/80=41" ]
Current State: 41:[58, 90, 80, 55], Operations: [] Exploring Operation: 58*55=3190, Resulting Numbers: [90, 80, 3190] Generated Node #2: [90, 80, 3190] from Operation: 58*55=3190 Current State: 41:[90, 80, 3190], Operations: ['58*55=3190'] Exploring Operation: 90+3190=3280, Resulting Numbers: [80, 3280] Generated Node #3: [80, 3280] from Operation: 90+3190=3280 Current State: 41:[80, 3280], Operations: ['58*55=3190', '90+3190=3280'] Exploring Operation: 3280/80=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 99, 74, 18, 75 ]
54
[ "99-74=25", "18*75=1350", "1350/25=54" ]
Current State: 54:[99, 74, 18, 75], Operations: [] Exploring Operation: 99-74=25, Resulting Numbers: [18, 75, 25] Generated Node #2: [18, 75, 25] from Operation: 99-74=25 Current State: 54:[18, 75, 25], Operations: ['99-74=25'] Exploring Operation: 18*75=1350, Resulting Numbers: [25, 1350] Generated Node #3: [25, 1350] from Operation: 18*75=1350 Current State: 54:[25, 1350], Operations: ['99-74=25', '18*75=1350'] Exploring Operation: 1350/25=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 23, 52, 33, 23 ]
19
[ "23+52=75", "33+23=56", "75-56=19" ]
Current State: 19:[23, 52, 33, 23], Operations: [] Exploring Operation: 23+52=75, Resulting Numbers: [33, 75] Generated Node #2: [33, 75] from Operation: 23+52=75 Current State: 19:[33, 75], Operations: ['23+52=75'] Exploring Operation: 33+23=56, Resulting Numbers: [75, 56] Generated Node #3: [75, 56] from Operation: 33+23=56 Current State: 19:[75, 56], Operations: ['23+52=75', '33+23=56'] Exploring Operation: 75-56=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 15, 23, 59, 69 ]
18
[ "23-15=8", "69-59=10", "8+10=18" ]
Current State: 18:[15, 23, 59, 69], Operations: [] Exploring Operation: 23-15=8, Resulting Numbers: [59, 69, 8] Generated Node #2: [59, 69, 8] from Operation: 23-15=8 Current State: 18:[59, 69, 8], Operations: ['23-15=8'] Exploring Operation: 69-59=10, Resulting Numbers: [8, 10] Generated Node #3: [8, 10] from Operation: 69-59=10 Current State: 18:[8, 10], Operations: ['23-15=8', '69-59=10'] Exploring Operation: 8+10=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 9, 10, 32, 15 ]
16
[ "10-9=1", "32-15=17", "17-1=16" ]
Current State: 16:[9, 10, 32, 15], Operations: [] Exploring Operation: 10-9=1, Resulting Numbers: [32, 15, 1] Generated Node #2: [32, 15, 1] from Operation: 10-9=1 Current State: 16:[32, 15, 1], Operations: ['10-9=1'] Exploring Operation: 32-15=17, Resulting Numbers: [1, 17] Generated Node #3: [1, 17] from Operation: 32-15=17 Current State: 16:[1, 17], Operations: ['10-9=1', '32-15=17'] Exploring Operation: 17-1=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 74, 85, 8, 38 ]
35
[ "85-74=11", "8+38=46", "46-11=35" ]
Current State: 35:[74, 85, 8, 38], Operations: [] Exploring Operation: 85-74=11, Resulting Numbers: [8, 38, 11] Generated Node #2: [8, 38, 11] from Operation: 85-74=11 Current State: 35:[8, 38, 11], Operations: ['85-74=11'] Exploring Operation: 8+38=46, Resulting Numbers: [11, 46] Generated Node #3: [11, 46] from Operation: 8+38=46 Current State: 35:[11, 46], Operations: ['85-74=11', '8+38=46'] Exploring Operation: 46-11=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 2, 76, 15, 26 ]
67
[ "2+76=78", "26-15=11", "78-11=67" ]
Current State: 67:[2, 76, 15, 26], Operations: [] Exploring Operation: 2+76=78, Resulting Numbers: [15, 26, 78] Generated Node #2: [15, 26, 78] from Operation: 2+76=78 Current State: 67:[15, 26, 78], Operations: ['2+76=78'] Exploring Operation: 26-15=11, Resulting Numbers: [78, 11] Generated Node #3: [78, 11] from Operation: 26-15=11 Current State: 67:[78, 11], Operations: ['2+76=78', '26-15=11'] Exploring Operation: 78-11=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 25, 55, 4, 10 ]
26
[ "55*10=550", "550/25=22", "4+22=26" ]
Current State: 26:[25, 55, 4, 10], Operations: [] Exploring Operation: 55*10=550, Resulting Numbers: [25, 4, 550] Generated Node #2: [25, 4, 550] from Operation: 55*10=550 Current State: 26:[25, 4, 550], Operations: ['55*10=550'] Exploring Operation: 550/25=22, Resulting Numbers: [4, 22] Generated Node #3: [4, 22] from Operation: 550/25=22 Current State: 26:[4, 22], Operations: ['55*10=550', '550/25=22'] Exploring Operation: 4+22=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 50, 45, 75, 38 ]
20
[ "50-38=12", "75*12=900", "900/45=20" ]
Current State: 20:[50, 45, 75, 38], Operations: [] Exploring Operation: 50-38=12, Resulting Numbers: [45, 75, 12] Generated Node #2: [45, 75, 12] from Operation: 50-38=12 Current State: 20:[45, 75, 12], Operations: ['50-38=12'] Exploring Operation: 75*12=900, Resulting Numbers: [45, 900] Generated Node #3: [45, 900] from Operation: 75*12=900 Current State: 20:[45, 900], Operations: ['50-38=12', '75*12=900'] Exploring Operation: 900/45=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 60, 22, 14, 95 ]
71
[ "60-22=38", "14+95=109", "109-38=71" ]
Current State: 71:[60, 22, 14, 95], Operations: [] Exploring Operation: 60-22=38, Resulting Numbers: [14, 95, 38] Generated Node #2: [14, 95, 38] from Operation: 60-22=38 Current State: 71:[14, 95, 38], Operations: ['60-22=38'] Exploring Operation: 14+95=109, Resulting Numbers: [38, 109] Generated Node #3: [38, 109] from Operation: 14+95=109 Current State: 71:[38, 109], Operations: ['60-22=38', '14+95=109'] Exploring Operation: 109-38=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 96, 23, 17, 4 ]
48
[ "23-17=6", "6-4=2", "96/2=48" ]
Current State: 48:[96, 23, 17, 4], Operations: [] Exploring Operation: 23-17=6, Resulting Numbers: [96, 4, 6] Generated Node #2: [96, 4, 6] from Operation: 23-17=6 Current State: 48:[96, 4, 6], Operations: ['23-17=6'] Exploring Operation: 6-4=2, Resulting Numbers: [96, 2] Generated Node #3: [96, 2] from Operation: 6-4=2 Current State: 48:[96, 2], Operations: ['23-17=6', '6-4=2'] Exploring Operation: 96/2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 30, 68, 70, 72 ]
10
[ "70-30=40", "72-68=4", "40/4=10" ]
Current State: 10:[30, 68, 70, 72], Operations: [] Exploring Operation: 70-30=40, Resulting Numbers: [68, 72, 40] Generated Node #2: [68, 72, 40] from Operation: 70-30=40 Current State: 10:[68, 72, 40], Operations: ['70-30=40'] Exploring Operation: 72-68=4, Resulting Numbers: [40, 4] Generated Node #3: [40, 4] from Operation: 72-68=4 Current State: 10:[40, 4], Operations: ['70-30=40', '72-68=4'] Exploring Operation: 40/4=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 95, 35, 54, 17 ]
12
[ "54-35=19", "95/19=5", "17-5=12" ]
Current State: 12:[95, 35, 54, 17], Operations: [] Exploring Operation: 54-35=19, Resulting Numbers: [95, 17, 19] Generated Node #2: [95, 17, 19] from Operation: 54-35=19 Current State: 12:[95, 17, 19], Operations: ['54-35=19'] Exploring Operation: 95/19=5, Resulting Numbers: [17, 5] Generated Node #3: [17, 5] from Operation: 95/19=5 Current State: 12:[17, 5], Operations: ['54-35=19', '95/19=5'] Exploring Operation: 17-5=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 18, 12, 90, 41 ]
19
[ "18+12=30", "90-41=49", "49-30=19" ]
Current State: 19:[18, 12, 90, 41], Operations: [] Exploring Operation: 18+12=30, Resulting Numbers: [90, 41, 30] Generated Node #2: [90, 41, 30] from Operation: 18+12=30 Current State: 19:[90, 41, 30], Operations: ['18+12=30'] Exploring Operation: 90-41=49, Resulting Numbers: [30, 49] Generated Node #3: [30, 49] from Operation: 90-41=49 Current State: 19:[30, 49], Operations: ['18+12=30', '90-41=49'] Exploring Operation: 49-30=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 97, 24, 15, 5 ]
70
[ "97-24=73", "15/5=3", "73-3=70" ]
Current State: 70:[97, 24, 15, 5], Operations: [] Exploring Operation: 97-24=73, Resulting Numbers: [15, 5, 73] Generated Node #2: [15, 5, 73] from Operation: 97-24=73 Current State: 70:[15, 5, 73], Operations: ['97-24=73'] Exploring Operation: 15/5=3, Resulting Numbers: [73, 3] Generated Node #3: [73, 3] from Operation: 15/5=3 Current State: 70:[73, 3], Operations: ['97-24=73', '15/5=3'] Exploring Operation: 73-3=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 90, 20, 12, 17 ]
54
[ "20-17=3", "12*3=36", "90-36=54" ]
Current State: 54:[90, 20, 12, 17], Operations: [] Exploring Operation: 20-17=3, Resulting Numbers: [90, 12, 3] Generated Node #2: [90, 12, 3] from Operation: 20-17=3 Current State: 54:[90, 12, 3], Operations: ['20-17=3'] Exploring Operation: 12*3=36, Resulting Numbers: [90, 36] Generated Node #3: [90, 36] from Operation: 12*3=36 Current State: 54:[90, 36], Operations: ['20-17=3', '12*3=36'] Exploring Operation: 90-36=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 16, 81, 38, 34 ]
56
[ "81+38=119", "16*119=1904", "1904/34=56" ]
Current State: 56:[16, 81, 38, 34], Operations: [] Exploring Operation: 81+38=119, Resulting Numbers: [16, 34, 119] Generated Node #2: [16, 34, 119] from Operation: 81+38=119 Current State: 56:[16, 34, 119], Operations: ['81+38=119'] Exploring Operation: 16*119=1904, Resulting Numbers: [34, 1904] Generated Node #3: [34, 1904] from Operation: 16*119=1904 Current State: 56:[34, 1904], Operations: ['81+38=119', '16*119=1904'] Exploring Operation: 1904/34=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 46, 77, 66, 14 ]
85
[ "46+66=112", "112/14=8", "77+8=85" ]
Current State: 85:[46, 77, 66, 14], Operations: [] Exploring Operation: 46+66=112, Resulting Numbers: [77, 14, 112] Generated Node #2: [77, 14, 112] from Operation: 46+66=112 Current State: 85:[77, 14, 112], Operations: ['46+66=112'] Exploring Operation: 112/14=8, Resulting Numbers: [77, 8] Generated Node #3: [77, 8] from Operation: 112/14=8 Current State: 85:[77, 8], Operations: ['46+66=112', '112/14=8'] Exploring Operation: 77+8=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 48, 82, 76, 89 ]
78
[ "89-48=41", "82/41=2", "76+2=78" ]
Current State: 78:[48, 82, 76, 89], Operations: [] Exploring Operation: 89-48=41, Resulting Numbers: [82, 76, 41] Generated Node #2: [82, 76, 41] from Operation: 89-48=41 Current State: 78:[82, 76, 41], Operations: ['89-48=41'] Exploring Operation: 82/41=2, Resulting Numbers: [76, 2] Generated Node #3: [76, 2] from Operation: 82/41=2 Current State: 78:[76, 2], Operations: ['89-48=41', '82/41=2'] Exploring Operation: 76+2=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 23, 59, 57, 41 ]
87
[ "59-57=2", "23*2=46", "41+46=87" ]
Current State: 87:[23, 59, 57, 41], Operations: [] Exploring Operation: 59-57=2, Resulting Numbers: [23, 41, 2] Generated Node #2: [23, 41, 2] from Operation: 59-57=2 Current State: 87:[23, 41, 2], Operations: ['59-57=2'] Exploring Operation: 23*2=46, Resulting Numbers: [41, 46] Generated Node #3: [41, 46] from Operation: 23*2=46 Current State: 87:[41, 46], Operations: ['59-57=2', '23*2=46'] Exploring Operation: 41+46=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 91, 39, 26, 16 ]
42
[ "91-39=52", "26-16=10", "52-10=42" ]
Current State: 42:[91, 39, 26, 16], Operations: [] Exploring Operation: 91-39=52, Resulting Numbers: [26, 16, 52] Generated Node #2: [26, 16, 52] from Operation: 91-39=52 Current State: 42:[26, 16, 52], Operations: ['91-39=52'] Exploring Operation: 26-16=10, Resulting Numbers: [52, 10] Generated Node #3: [52, 10] from Operation: 26-16=10 Current State: 42:[52, 10], Operations: ['91-39=52', '26-16=10'] Exploring Operation: 52-10=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 4, 16, 85, 87 ]
47
[ "16+85=101", "87+101=188", "188/4=47" ]
Current State: 47:[4, 16, 85, 87], Operations: [] Exploring Operation: 16+85=101, Resulting Numbers: [4, 87, 101] Generated Node #2: [4, 87, 101] from Operation: 16+85=101 Current State: 47:[4, 87, 101], Operations: ['16+85=101'] Exploring Operation: 87+101=188, Resulting Numbers: [4, 188] Generated Node #3: [4, 188] from Operation: 87+101=188 Current State: 47:[4, 188], Operations: ['16+85=101', '87+101=188'] Exploring Operation: 188/4=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 43, 1, 69, 99 ]
73
[ "43*1=43", "99-69=30", "43+30=73" ]
Current State: 73:[43, 1, 69, 99], Operations: [] Exploring Operation: 43*1=43, Resulting Numbers: [69, 99, 43] Generated Node #2: [69, 99, 43] from Operation: 43*1=43 Current State: 73:[69, 99, 43], Operations: ['43*1=43'] Exploring Operation: 99-69=30, Resulting Numbers: [43, 30] Generated Node #3: [43, 30] from Operation: 99-69=30 Current State: 73:[43, 30], Operations: ['43*1=43', '99-69=30'] Exploring Operation: 43+30=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 4, 8, 58, 28 ]
58
[ "28/4=7", "8-7=1", "58*1=58" ]
Current State: 58:[4, 8, 58, 28], Operations: [] Exploring Operation: 28/4=7, Resulting Numbers: [8, 58, 7] Generated Node #2: [8, 58, 7] from Operation: 28/4=7 Current State: 58:[8, 58, 7], Operations: ['28/4=7'] Exploring Operation: 8-7=1, Resulting Numbers: [58, 1] Generated Node #3: [58, 1] from Operation: 8-7=1 Current State: 58:[58, 1], Operations: ['28/4=7', '8-7=1'] Exploring Operation: 58*1=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 5, 98, 82, 37 ]
48
[ "98-5=93", "82-37=45", "93-45=48" ]
Current State: 48:[5, 98, 82, 37], Operations: [] Exploring Operation: 98-5=93, Resulting Numbers: [82, 37, 93] Generated Node #2: [82, 37, 93] from Operation: 98-5=93 Current State: 48:[82, 37, 93], Operations: ['98-5=93'] Exploring Operation: 82-37=45, Resulting Numbers: [93, 45] Generated Node #3: [93, 45] from Operation: 82-37=45 Current State: 48:[93, 45], Operations: ['98-5=93', '82-37=45'] Exploring Operation: 93-45=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 68, 16, 17, 19 ]
92
[ "68/17=4", "19*4=76", "16+76=92" ]
Current State: 92:[68, 16, 17, 19], Operations: [] Exploring Operation: 68/17=4, Resulting Numbers: [16, 19, 4] Generated Node #2: [16, 19, 4] from Operation: 68/17=4 Current State: 92:[16, 19, 4], Operations: ['68/17=4'] Exploring Operation: 19*4=76, Resulting Numbers: [16, 76] Generated Node #3: [16, 76] from Operation: 19*4=76 Current State: 92:[16, 76], Operations: ['68/17=4', '19*4=76'] Exploring Operation: 16+76=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 99, 2, 66, 58 ]
90
[ "2+58=60", "99*60=5940", "5940/66=90" ]
Current State: 90:[99, 2, 66, 58], Operations: [] Exploring Operation: 2+58=60, Resulting Numbers: [99, 66, 60] Generated Node #2: [99, 66, 60] from Operation: 2+58=60 Current State: 90:[99, 66, 60], Operations: ['2+58=60'] Exploring Operation: 99*60=5940, Resulting Numbers: [66, 5940] Generated Node #3: [66, 5940] from Operation: 99*60=5940 Current State: 90:[66, 5940], Operations: ['2+58=60', '99*60=5940'] Exploring Operation: 5940/66=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 26, 76, 30, 20 ]
60
[ "76-26=50", "30-20=10", "50+10=60" ]
Current State: 60:[26, 76, 30, 20], Operations: [] Exploring Operation: 76-26=50, Resulting Numbers: [30, 20, 50] Generated Node #2: [30, 20, 50] from Operation: 76-26=50 Current State: 60:[30, 20, 50], Operations: ['76-26=50'] Exploring Operation: 30-20=10, Resulting Numbers: [50, 10] Generated Node #3: [50, 10] from Operation: 30-20=10 Current State: 60:[50, 10], Operations: ['76-26=50', '30-20=10'] Exploring Operation: 50+10=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 20, 24, 25, 23 ]
97
[ "25-20=5", "24*5=120", "120-23=97" ]
Current State: 97:[20, 24, 25, 23], Operations: [] Exploring Operation: 25-20=5, Resulting Numbers: [24, 23, 5] Generated Node #2: [24, 23, 5] from Operation: 25-20=5 Current State: 97:[24, 23, 5], Operations: ['25-20=5'] Exploring Operation: 24*5=120, Resulting Numbers: [23, 120] Generated Node #3: [23, 120] from Operation: 24*5=120 Current State: 97:[23, 120], Operations: ['25-20=5', '24*5=120'] Exploring Operation: 120-23=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 36, 32, 67, 15 ]
78
[ "36-32=4", "67+15=82", "82-4=78" ]
Current State: 78:[36, 32, 67, 15], Operations: [] Exploring Operation: 36-32=4, Resulting Numbers: [67, 15, 4] Generated Node #2: [67, 15, 4] from Operation: 36-32=4 Current State: 78:[67, 15, 4], Operations: ['36-32=4'] Exploring Operation: 67+15=82, Resulting Numbers: [4, 82] Generated Node #3: [4, 82] from Operation: 67+15=82 Current State: 78:[4, 82], Operations: ['36-32=4', '67+15=82'] Exploring Operation: 82-4=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 57, 11, 6, 22 ]
60
[ "11*6=66", "66/22=3", "57+3=60" ]
Current State: 60:[57, 11, 6, 22], Operations: [] Exploring Operation: 11*6=66, Resulting Numbers: [57, 22, 66] Generated Node #2: [57, 22, 66] from Operation: 11*6=66 Current State: 60:[57, 22, 66], Operations: ['11*6=66'] Exploring Operation: 66/22=3, Resulting Numbers: [57, 3] Generated Node #3: [57, 3] from Operation: 66/22=3 Current State: 60:[57, 3], Operations: ['11*6=66', '66/22=3'] Exploring Operation: 57+3=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 38, 16, 54, 42 ]
42
[ "38+16=54", "54+42=96", "96-54=42" ]
Current State: 42:[38, 16, 54, 42], Operations: [] Exploring Operation: 38+16=54, Resulting Numbers: [54, 42, 54] Generated Node #2: [54, 42, 54] from Operation: 38+16=54 Current State: 42:[54, 42, 54], Operations: ['38+16=54'] Exploring Operation: 54+42=96, Resulting Numbers: [96] 96,42 equal: Goal Reached Exploring Operation: 96-54=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 3, 74, 43, 33 ]
72
[ "74+43=117", "117/3=39", "33+39=72" ]
Current State: 72:[3, 74, 43, 33], Operations: [] Exploring Operation: 74+43=117, Resulting Numbers: [3, 33, 117] Generated Node #2: [3, 33, 117] from Operation: 74+43=117 Current State: 72:[3, 33, 117], Operations: ['74+43=117'] Exploring Operation: 117/3=39, Resulting Numbers: [33, 39] Generated Node #3: [33, 39] from Operation: 117/3=39 Current State: 72:[33, 39], Operations: ['74+43=117', '117/3=39'] Exploring Operation: 33+39=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 78, 60, 30, 54 ]
58
[ "78+30=108", "108/54=2", "60-2=58" ]
Current State: 58:[78, 60, 30, 54], Operations: [] Exploring Operation: 78+30=108, Resulting Numbers: [60, 54, 108] Generated Node #2: [60, 54, 108] from Operation: 78+30=108 Current State: 58:[60, 54, 108], Operations: ['78+30=108'] Exploring Operation: 108/54=2, Resulting Numbers: [60, 2] Generated Node #3: [60, 2] from Operation: 108/54=2 Current State: 58:[60, 2], Operations: ['78+30=108', '108/54=2'] Exploring Operation: 60-2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 1, 73, 34, 17 ]
70
[ "73-1=72", "34/17=2", "72-2=70" ]
Current State: 70:[1, 73, 34, 17], Operations: [] Exploring Operation: 73-1=72, Resulting Numbers: [34, 17, 72] Generated Node #2: [34, 17, 72] from Operation: 73-1=72 Current State: 70:[34, 17, 72], Operations: ['73-1=72'] Exploring Operation: 34/17=2, Resulting Numbers: [72, 2] Generated Node #3: [72, 2] from Operation: 34/17=2 Current State: 70:[72, 2], Operations: ['73-1=72', '34/17=2'] Exploring Operation: 72-2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 3, 50, 58, 38 ]
33
[ "3+50=53", "58-38=20", "53-20=33" ]
Current State: 33:[3, 50, 58, 38], Operations: [] Exploring Operation: 3+50=53, Resulting Numbers: [58, 38, 53] Generated Node #2: [58, 38, 53] from Operation: 3+50=53 Current State: 33:[58, 38, 53], Operations: ['3+50=53'] Exploring Operation: 58-38=20, Resulting Numbers: [53, 20] Generated Node #3: [53, 20] from Operation: 58-38=20 Current State: 33:[53, 20], Operations: ['3+50=53', '58-38=20'] Exploring Operation: 53-20=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 61, 45, 84, 28 ]
74
[ "45*84=3780", "3780/28=135", "135-61=74" ]
Current State: 74:[61, 45, 84, 28], Operations: [] Exploring Operation: 45*84=3780, Resulting Numbers: [61, 28, 3780] Generated Node #2: [61, 28, 3780] from Operation: 45*84=3780 Current State: 74:[61, 28, 3780], Operations: ['45*84=3780'] Exploring Operation: 3780/28=135, Resulting Numbers: [61, 135] Generated Node #3: [61, 135] from Operation: 3780/28=135 Current State: 74:[61, 135], Operations: ['45*84=3780', '3780/28=135'] Exploring Operation: 135-61=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 44, 69, 67, 35 ]
38
[ "67-44=23", "69/23=3", "35+3=38" ]
Current State: 38:[44, 69, 67, 35], Operations: [] Exploring Operation: 67-44=23, Resulting Numbers: [69, 35, 23] Generated Node #2: [69, 35, 23] from Operation: 67-44=23 Current State: 38:[69, 35, 23], Operations: ['67-44=23'] Exploring Operation: 69/23=3, Resulting Numbers: [35, 3] Generated Node #3: [35, 3] from Operation: 69/23=3 Current State: 38:[35, 3], Operations: ['67-44=23', '69/23=3'] Exploring Operation: 35+3=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 7, 47, 53, 40 ]
20
[ "47+53=100", "40+100=140", "140/7=20" ]
Current State: 20:[7, 47, 53, 40], Operations: [] Exploring Operation: 47+53=100, Resulting Numbers: [7, 40, 100] Generated Node #2: [7, 40, 100] from Operation: 47+53=100 Current State: 20:[7, 40, 100], Operations: ['47+53=100'] Exploring Operation: 40+100=140, Resulting Numbers: [7, 140] Generated Node #3: [7, 140] from Operation: 40+100=140 Current State: 20:[7, 140], Operations: ['47+53=100', '40+100=140'] Exploring Operation: 140/7=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 32, 65, 5, 23 ]
72
[ "32*5=160", "65+23=88", "160-88=72" ]
Current State: 72:[32, 65, 5, 23], Operations: [] Exploring Operation: 32*5=160, Resulting Numbers: [65, 23, 160] Generated Node #2: [65, 23, 160] from Operation: 32*5=160 Current State: 72:[65, 23, 160], Operations: ['32*5=160'] Exploring Operation: 65+23=88, Resulting Numbers: [160, 88] Generated Node #3: [160, 88] from Operation: 65+23=88 Current State: 72:[160, 88], Operations: ['32*5=160', '65+23=88'] Exploring Operation: 160-88=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 70, 24, 17, 9 ]
19
[ "24-17=7", "70/7=10", "9+10=19" ]
Current State: 19:[70, 24, 17, 9], Operations: [] Exploring Operation: 24-17=7, Resulting Numbers: [70, 9, 7] Generated Node #2: [70, 9, 7] from Operation: 24-17=7 Current State: 19:[70, 9, 7], Operations: ['24-17=7'] Exploring Operation: 70/7=10, Resulting Numbers: [9, 10] Generated Node #3: [9, 10] from Operation: 70/7=10 Current State: 19:[9, 10], Operations: ['24-17=7', '70/7=10'] Exploring Operation: 9+10=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4