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
[ 8, 4, 17, 31 ]
37
[ "8-4=4", "17*4=68", "68-31=37" ]
Current State: 37:[8, 4, 17, 31], Operations: [] Exploring Operation: 8-4=4, Resulting Numbers: [17, 31, 4] Generated Node #2: [17, 31, 4] from Operation: 8-4=4 Current State: 37:[17, 31, 4], Operations: ['8-4=4'] Exploring Operation: 17*4=68, Resulting Numbers: [31, 68] Generated Node #3: [31, 68] from Operation: 17*4=68 Current State: 37:[31, 68], Operations: ['8-4=4', '17*4=68'] Exploring Operation: 68-31=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 18, 67, 27, 38 ]
38
[ "67-18=49", "38-27=11", "49-11=38" ]
Current State: 38:[18, 67, 27, 38], Operations: [] Exploring Operation: 67-18=49, Resulting Numbers: [27, 38, 49] Generated Node #2: [27, 38, 49] from Operation: 67-18=49 Current State: 38:[27, 38, 49], Operations: ['67-18=49'] Exploring Operation: 38-27=11, Resulting Numbers: [49, 11] Generated Node #3: [49, 11] from Operation: 38-27=11 Current State: 38:[49, 11], Operations: ['67-18=49', '38-27=11'] Exploring Operation: 49-11=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 51, 56, 23, 17 ]
19
[ "51-23=28", "56/28=2", "17+2=19" ]
Current State: 19:[51, 56, 23, 17], Operations: [] Exploring Operation: 51-23=28, Resulting Numbers: [56, 17, 28] Generated Node #2: [56, 17, 28] from Operation: 51-23=28 Current State: 19:[56, 17, 28], Operations: ['51-23=28'] Exploring Operation: 56/28=2, Resulting Numbers: [17, 2] Generated Node #3: [17, 2] from Operation: 56/28=2 Current State: 19:[17, 2], Operations: ['51-23=28', '56/28=2'] Exploring Operation: 17+2=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 21, 69, 6, 45 ]
40
[ "69+45=114", "114/6=19", "21+19=40" ]
Current State: 40:[21, 69, 6, 45], Operations: [] Exploring Operation: 69+45=114, Resulting Numbers: [21, 6, 114] Generated Node #2: [21, 6, 114] from Operation: 69+45=114 Current State: 40:[21, 6, 114], Operations: ['69+45=114'] Exploring Operation: 114/6=19, Resulting Numbers: [21, 19] Generated Node #3: [21, 19] from Operation: 114/6=19 Current State: 40:[21, 19], Operations: ['69+45=114', '114/6=19'] Exploring Operation: 21+19=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 68, 73, 28, 11 ]
22
[ "73-68=5", "28-11=17", "5+17=22" ]
Current State: 22:[68, 73, 28, 11], Operations: [] Exploring Operation: 73-68=5, Resulting Numbers: [28, 11, 5] Generated Node #2: [28, 11, 5] from Operation: 73-68=5 Current State: 22:[28, 11, 5], Operations: ['73-68=5'] Exploring Operation: 28-11=17, Resulting Numbers: [5, 17] Generated Node #3: [5, 17] from Operation: 28-11=17 Current State: 22:[5, 17], Operations: ['73-68=5', '28-11=17'] Exploring Operation: 5+17=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 22, 31, 8, 51 ]
96
[ "22+31=53", "51-8=43", "53+43=96" ]
Current State: 96:[22, 31, 8, 51], Operations: [] Exploring Operation: 22+31=53, Resulting Numbers: [8, 51, 53] Generated Node #2: [8, 51, 53] from Operation: 22+31=53 Current State: 96:[8, 51, 53], Operations: ['22+31=53'] Exploring Operation: 51-8=43, Resulting Numbers: [53, 43] Generated Node #3: [53, 43] from Operation: 51-8=43 Current State: 96:[53, 43], Operations: ['22+31=53', '51-8=43'] Exploring Operation: 53+43=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 76, 9, 52, 1 ]
34
[ "76+9=85", "52-1=51", "85-51=34" ]
Current State: 34:[76, 9, 52, 1], Operations: [] Exploring Operation: 76+9=85, Resulting Numbers: [52, 1, 85] Generated Node #2: [52, 1, 85] from Operation: 76+9=85 Current State: 34:[52, 1, 85], Operations: ['76+9=85'] Exploring Operation: 52-1=51, Resulting Numbers: [85, 51] Generated Node #3: [85, 51] from Operation: 52-1=51 Current State: 34:[85, 51], Operations: ['76+9=85', '52-1=51'] Exploring Operation: 85-51=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 4, 13, 28, 45 ]
23
[ "13-4=9", "45/9=5", "28-5=23" ]
Current State: 23:[4, 13, 28, 45], Operations: [] Exploring Operation: 13-4=9, Resulting Numbers: [28, 45, 9] Generated Node #2: [28, 45, 9] from Operation: 13-4=9 Current State: 23:[28, 45, 9], Operations: ['13-4=9'] Exploring Operation: 45/9=5, Resulting Numbers: [28, 5] Generated Node #3: [28, 5] from Operation: 45/9=5 Current State: 23:[28, 5], Operations: ['13-4=9', '45/9=5'] Exploring Operation: 28-5=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 67, 64, 65, 98 ]
98
[ "67+64=131", "98-65=33", "131-33=98" ]
Current State: 98:[67, 64, 65, 98], Operations: [] Exploring Operation: 67+64=131, Resulting Numbers: [65, 98, 131] Generated Node #2: [65, 98, 131] from Operation: 67+64=131 Current State: 98:[65, 98, 131], Operations: ['67+64=131'] Exploring Operation: 98-65=33, Resulting Numbers: [131, 33] Generated Node #3: [131, 33] from Operation: 98-65=33 Current State: 98:[131, 33], Operations: ['67+64=131', '98-65=33'] Exploring Operation: 131-33=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 25, 77, 35, 51 ]
33
[ "25+77=102", "102/51=2", "35-2=33" ]
Current State: 33:[25, 77, 35, 51], Operations: [] Exploring Operation: 25+77=102, Resulting Numbers: [35, 51, 102] Generated Node #2: [35, 51, 102] from Operation: 25+77=102 Current State: 33:[35, 51, 102], Operations: ['25+77=102'] Exploring Operation: 102/51=2, Resulting Numbers: [35, 2] Generated Node #3: [35, 2] from Operation: 102/51=2 Current State: 33:[35, 2], Operations: ['25+77=102', '102/51=2'] Exploring Operation: 35-2=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 17, 27, 51, 44 ]
35
[ "17*27=459", "459/51=9", "44-9=35" ]
Current State: 35:[17, 27, 51, 44], Operations: [] Exploring Operation: 17*27=459, Resulting Numbers: [51, 44, 459] Generated Node #2: [51, 44, 459] from Operation: 17*27=459 Current State: 35:[51, 44, 459], Operations: ['17*27=459'] Exploring Operation: 459/51=9, Resulting Numbers: [44, 9] Generated Node #3: [44, 9] from Operation: 459/51=9 Current State: 35:[44, 9], Operations: ['17*27=459', '459/51=9'] Exploring Operation: 44-9=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 22, 20, 7, 65 ]
59
[ "22+20=42", "42/7=6", "65-6=59" ]
Current State: 59:[22, 20, 7, 65], Operations: [] Exploring Operation: 22+20=42, Resulting Numbers: [7, 65, 42] Generated Node #2: [7, 65, 42] from Operation: 22+20=42 Current State: 59:[7, 65, 42], Operations: ['22+20=42'] Exploring Operation: 42/7=6, Resulting Numbers: [65, 6] Generated Node #3: [65, 6] from Operation: 42/7=6 Current State: 59:[65, 6], Operations: ['22+20=42', '42/7=6'] Exploring Operation: 65-6=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 32, 78, 21, 47 ]
96
[ "32*78=2496", "47-21=26", "2496/26=96" ]
Current State: 96:[32, 78, 21, 47], Operations: [] Exploring Operation: 32*78=2496, Resulting Numbers: [21, 47, 2496] Generated Node #2: [21, 47, 2496] from Operation: 32*78=2496 Current State: 96:[21, 47, 2496], Operations: ['32*78=2496'] Exploring Operation: 47-21=26, Resulting Numbers: [2496, 26] Generated Node #3: [2496, 26] from Operation: 47-21=26 Current State: 96:[2496, 26], Operations: ['32*78=2496', '47-21=26'] Exploring Operation: 2496/26=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 21, 38, 12, 48 ]
43
[ "38-21=17", "12+48=60", "60-17=43" ]
Current State: 43:[21, 38, 12, 48], Operations: [] Exploring Operation: 38-21=17, Resulting Numbers: [12, 48, 17] Generated Node #2: [12, 48, 17] from Operation: 38-21=17 Current State: 43:[12, 48, 17], Operations: ['38-21=17'] Exploring Operation: 12+48=60, Resulting Numbers: [17, 60] Generated Node #3: [17, 60] from Operation: 12+48=60 Current State: 43:[17, 60], Operations: ['38-21=17', '12+48=60'] Exploring Operation: 60-17=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 82, 44, 23, 5 ]
65
[ "82+23=105", "105/5=21", "44+21=65" ]
Current State: 65:[82, 44, 23, 5], Operations: [] Exploring Operation: 82+23=105, Resulting Numbers: [44, 5, 105] Generated Node #2: [44, 5, 105] from Operation: 82+23=105 Current State: 65:[44, 5, 105], Operations: ['82+23=105'] Exploring Operation: 105/5=21, Resulting Numbers: [44, 21] Generated Node #3: [44, 21] from Operation: 105/5=21 Current State: 65:[44, 21], Operations: ['82+23=105', '105/5=21'] Exploring Operation: 44+21=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 7, 31, 21, 66 ]
50
[ "7*21=147", "31+66=97", "147-97=50" ]
Current State: 50:[7, 31, 21, 66], Operations: [] Exploring Operation: 7*21=147, Resulting Numbers: [31, 66, 147] Generated Node #2: [31, 66, 147] from Operation: 7*21=147 Current State: 50:[31, 66, 147], Operations: ['7*21=147'] Exploring Operation: 31+66=97, Resulting Numbers: [147, 97] Generated Node #3: [147, 97] from Operation: 31+66=97 Current State: 50:[147, 97], Operations: ['7*21=147', '31+66=97'] Exploring Operation: 147-97=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 55, 42, 71, 21 ]
39
[ "55*42=2310", "2310/21=110", "110-71=39" ]
Current State: 39:[55, 42, 71, 21], Operations: [] Exploring Operation: 55*42=2310, Resulting Numbers: [71, 21, 2310] Generated Node #2: [71, 21, 2310] from Operation: 55*42=2310 Current State: 39:[71, 21, 2310], Operations: ['55*42=2310'] Exploring Operation: 2310/21=110, Resulting Numbers: [71, 110] Generated Node #3: [71, 110] from Operation: 2310/21=110 Current State: 39:[71, 110], Operations: ['55*42=2310', '2310/21=110'] Exploring Operation: 110-71=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 46, 33, 22, 3 ]
39
[ "46-22=24", "3*24=72", "72-33=39" ]
Current State: 39:[46, 33, 22, 3], Operations: [] Exploring Operation: 46-22=24, Resulting Numbers: [33, 3, 24] Generated Node #2: [33, 3, 24] from Operation: 46-22=24 Current State: 39:[33, 3, 24], Operations: ['46-22=24'] Exploring Operation: 3*24=72, Resulting Numbers: [33, 72] Generated Node #3: [33, 72] from Operation: 3*24=72 Current State: 39:[33, 72], Operations: ['46-22=24', '3*24=72'] Exploring Operation: 72-33=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 34, 23, 34, 40 ]
40
[ "34-34=0", "23*0=0", "40+0=40" ]
Current State: 40:[34, 23, 34, 40], Operations: [] Exploring Operation: 34-34=0, Resulting Numbers: [23, 40, 0] Generated Node #2: [23, 40, 0] from Operation: 34-34=0 Current State: 40:[23, 40, 0], Operations: ['34-34=0'] Exploring Operation: 23*0=0, Resulting Numbers: [40, 0] Generated Node #3: [40, 0] from Operation: 23*0=0 Current State: 40:[40, 0], Operations: ['34-34=0', '23*0=0'] Exploring Operation: 40+0=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 15, 97, 67, 41 ]
82
[ "97-67=30", "30/15=2", "41*2=82" ]
Current State: 82:[15, 97, 67, 41], Operations: [] Exploring Operation: 97-67=30, Resulting Numbers: [15, 41, 30] Generated Node #2: [15, 41, 30] from Operation: 97-67=30 Current State: 82:[15, 41, 30], Operations: ['97-67=30'] Exploring Operation: 30/15=2, Resulting Numbers: [41, 2] Generated Node #3: [41, 2] from Operation: 30/15=2 Current State: 82:[41, 2], Operations: ['97-67=30', '30/15=2'] Exploring Operation: 41*2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 1, 76, 52, 42 ]
66
[ "1*76=76", "52-42=10", "76-10=66" ]
Current State: 66:[1, 76, 52, 42], Operations: [] Exploring Operation: 1*76=76, Resulting Numbers: [52, 42, 76] Generated Node #2: [52, 42, 76] from Operation: 1*76=76 Current State: 66:[52, 42, 76], Operations: ['1*76=76'] Exploring Operation: 52-42=10, Resulting Numbers: [76, 10] Generated Node #3: [76, 10] from Operation: 52-42=10 Current State: 66:[76, 10], Operations: ['1*76=76', '52-42=10'] Exploring Operation: 76-10=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 49, 53, 29, 54 ]
21
[ "53-49=4", "54-29=25", "25-4=21" ]
Current State: 21:[49, 53, 29, 54], Operations: [] Exploring Operation: 53-49=4, Resulting Numbers: [29, 54, 4] Generated Node #2: [29, 54, 4] from Operation: 53-49=4 Current State: 21:[29, 54, 4], Operations: ['53-49=4'] Exploring Operation: 54-29=25, Resulting Numbers: [4, 25] Generated Node #3: [4, 25] from Operation: 54-29=25 Current State: 21:[4, 25], Operations: ['53-49=4', '54-29=25'] Exploring Operation: 25-4=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 80, 20, 8, 6 ]
90
[ "8-6=2", "20/2=10", "80+10=90" ]
Current State: 90:[80, 20, 8, 6], Operations: [] Exploring Operation: 8-6=2, Resulting Numbers: [80, 20, 2] Generated Node #2: [80, 20, 2] from Operation: 8-6=2 Current State: 90:[80, 20, 2], Operations: ['8-6=2'] Exploring Operation: 20/2=10, Resulting Numbers: [80, 10] Generated Node #3: [80, 10] from Operation: 20/2=10 Current State: 90:[80, 10], Operations: ['8-6=2', '20/2=10'] Exploring Operation: 80+10=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 29, 23, 10, 66 ]
58
[ "29*66=1914", "23+10=33", "1914/33=58" ]
Current State: 58:[29, 23, 10, 66], Operations: [] Exploring Operation: 29*66=1914, Resulting Numbers: [23, 10, 1914] Generated Node #2: [23, 10, 1914] from Operation: 29*66=1914 Current State: 58:[23, 10, 1914], Operations: ['29*66=1914'] Exploring Operation: 23+10=33, Resulting Numbers: [1914, 33] Generated Node #3: [1914, 33] from Operation: 23+10=33 Current State: 58:[1914, 33], Operations: ['29*66=1914', '23+10=33'] Exploring Operation: 1914/33=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 6, 3, 51, 48 ]
36
[ "3+51=54", "54-48=6", "6*6=36" ]
Current State: 36:[6, 3, 51, 48], Operations: [] Exploring Operation: 3+51=54, Resulting Numbers: [6, 48, 54] Generated Node #2: [6, 48, 54] from Operation: 3+51=54 Current State: 36:[6, 48, 54], Operations: ['3+51=54'] Exploring Operation: 54-48=6, Resulting Numbers: [6, 6] Generated Node #3: [6, 6] from Operation: 54-48=6 Current State: 36:[6, 6], Operations: ['3+51=54', '54-48=6'] Exploring Operation: 6*6=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 14, 8, 54, 19 ]
39
[ "14*8=112", "54+19=73", "112-73=39" ]
Current State: 39:[14, 8, 54, 19], Operations: [] Exploring Operation: 14*8=112, Resulting Numbers: [54, 19, 112] Generated Node #2: [54, 19, 112] from Operation: 14*8=112 Current State: 39:[54, 19, 112], Operations: ['14*8=112'] Exploring Operation: 54+19=73, Resulting Numbers: [112, 73] Generated Node #3: [112, 73] from Operation: 54+19=73 Current State: 39:[112, 73], Operations: ['14*8=112', '54+19=73'] Exploring Operation: 112-73=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 69, 44, 70, 20 ]
23
[ "69+44=113", "70+20=90", "113-90=23" ]
Current State: 23:[69, 44, 70, 20], Operations: [] Exploring Operation: 69+44=113, Resulting Numbers: [70, 20, 113] Generated Node #2: [70, 20, 113] from Operation: 69+44=113 Current State: 23:[70, 20, 113], Operations: ['69+44=113'] Exploring Operation: 70+20=90, Resulting Numbers: [113, 90] Generated Node #3: [113, 90] from Operation: 70+20=90 Current State: 23:[113, 90], Operations: ['69+44=113', '70+20=90'] Exploring Operation: 113-90=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 53, 32, 67, 6 ]
59
[ "53-32=21", "6*21=126", "126-67=59" ]
Current State: 59:[53, 32, 67, 6], Operations: [] Exploring Operation: 53-32=21, Resulting Numbers: [67, 6, 21] Generated Node #2: [67, 6, 21] from Operation: 53-32=21 Current State: 59:[67, 6, 21], Operations: ['53-32=21'] Exploring Operation: 6*21=126, Resulting Numbers: [67, 126] Generated Node #3: [67, 126] from Operation: 6*21=126 Current State: 59:[67, 126], Operations: ['53-32=21', '6*21=126'] Exploring Operation: 126-67=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 69, 48, 17, 41 ]
37
[ "69-48=21", "17+41=58", "58-21=37" ]
Current State: 37:[69, 48, 17, 41], Operations: [] Exploring Operation: 69-48=21, Resulting Numbers: [17, 41, 21] Generated Node #2: [17, 41, 21] from Operation: 69-48=21 Current State: 37:[17, 41, 21], Operations: ['69-48=21'] Exploring Operation: 17+41=58, Resulting Numbers: [21, 58] Generated Node #3: [21, 58] from Operation: 17+41=58 Current State: 37:[21, 58], Operations: ['69-48=21', '17+41=58'] Exploring Operation: 58-21=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 99, 48, 45, 9 ]
96
[ "99-9=90", "48*90=4320", "4320/45=96" ]
Current State: 96:[99, 48, 45, 9], Operations: [] Exploring Operation: 99-9=90, Resulting Numbers: [48, 45, 90] Generated Node #2: [48, 45, 90] from Operation: 99-9=90 Current State: 96:[48, 45, 90], Operations: ['99-9=90'] Exploring Operation: 48*90=4320, Resulting Numbers: [45, 4320] Generated Node #3: [45, 4320] from Operation: 48*90=4320 Current State: 96:[45, 4320], Operations: ['99-9=90', '48*90=4320'] Exploring Operation: 4320/45=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 56, 80, 1, 62 ]
86
[ "80-56=24", "1*62=62", "24+62=86" ]
Current State: 86:[56, 80, 1, 62], Operations: [] Exploring Operation: 80-56=24, Resulting Numbers: [1, 62, 24] Generated Node #2: [1, 62, 24] from Operation: 80-56=24 Current State: 86:[1, 62, 24], Operations: ['80-56=24'] Exploring Operation: 1*62=62, Resulting Numbers: [24, 62] Generated Node #3: [24, 62] from Operation: 1*62=62 Current State: 86:[24, 62], Operations: ['80-56=24', '1*62=62'] Exploring Operation: 24+62=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 94, 17, 91, 81 ]
61
[ "94+17=111", "91+81=172", "172-111=61" ]
Current State: 61:[94, 17, 91, 81], Operations: [] Exploring Operation: 94+17=111, Resulting Numbers: [91, 81, 111] Generated Node #2: [91, 81, 111] from Operation: 94+17=111 Current State: 61:[91, 81, 111], Operations: ['94+17=111'] Exploring Operation: 91+81=172, Resulting Numbers: [111, 172] Generated Node #3: [111, 172] from Operation: 91+81=172 Current State: 61:[111, 172], Operations: ['94+17=111', '91+81=172'] Exploring Operation: 172-111=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 14, 28, 56, 39 ]
11
[ "28/14=2", "56/2=28", "39-28=11" ]
Current State: 11:[14, 28, 56, 39], Operations: [] Exploring Operation: 28/14=2, Resulting Numbers: [56, 39, 2] Generated Node #2: [56, 39, 2] from Operation: 28/14=2 Current State: 11:[56, 39, 2], Operations: ['28/14=2'] Exploring Operation: 56/2=28, Resulting Numbers: [39, 28] Generated Node #3: [39, 28] from Operation: 56/2=28 Current State: 11:[39, 28], Operations: ['28/14=2', '56/2=28'] Exploring Operation: 39-28=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 31, 87, 49, 2 ]
77
[ "87-31=56", "56/2=28", "49+28=77" ]
Current State: 77:[31, 87, 49, 2], Operations: [] Exploring Operation: 87-31=56, Resulting Numbers: [49, 2, 56] Generated Node #2: [49, 2, 56] from Operation: 87-31=56 Current State: 77:[49, 2, 56], Operations: ['87-31=56'] Exploring Operation: 56/2=28, Resulting Numbers: [49, 28] Generated Node #3: [49, 28] from Operation: 56/2=28 Current State: 77:[49, 28], Operations: ['87-31=56', '56/2=28'] Exploring Operation: 49+28=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 68, 30, 27, 38 ]
75
[ "68+27=95", "30*95=2850", "2850/38=75" ]
Current State: 75:[68, 30, 27, 38], Operations: [] Exploring Operation: 68+27=95, Resulting Numbers: [30, 38, 95] Generated Node #2: [30, 38, 95] from Operation: 68+27=95 Current State: 75:[30, 38, 95], Operations: ['68+27=95'] Exploring Operation: 30*95=2850, Resulting Numbers: [38, 2850] Generated Node #3: [38, 2850] from Operation: 30*95=2850 Current State: 75:[38, 2850], Operations: ['68+27=95', '30*95=2850'] Exploring Operation: 2850/38=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 38, 63, 78, 44 ]
67
[ "38+63=101", "78-44=34", "101-34=67" ]
Current State: 67:[38, 63, 78, 44], Operations: [] Exploring Operation: 38+63=101, Resulting Numbers: [78, 44, 101] Generated Node #2: [78, 44, 101] from Operation: 38+63=101 Current State: 67:[78, 44, 101], Operations: ['38+63=101'] Exploring Operation: 78-44=34, Resulting Numbers: [101, 34] Generated Node #3: [101, 34] from Operation: 78-44=34 Current State: 67:[101, 34], Operations: ['38+63=101', '78-44=34'] Exploring Operation: 101-34=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 70, 31, 90, 90 ]
79
[ "70+31=101", "90+90=180", "180-101=79" ]
Current State: 79:[70, 31, 90, 90], Operations: [] Exploring Operation: 70+31=101, Resulting Numbers: [90, 90, 101] Generated Node #2: [90, 90, 101] from Operation: 70+31=101 Current State: 79:[90, 90, 101], Operations: ['70+31=101'] Exploring Operation: 90+90=180, Resulting Numbers: [101, 180] Generated Node #3: [101, 180] from Operation: 90+90=180 Current State: 79:[101, 180], Operations: ['70+31=101', '90+90=180'] Exploring Operation: 180-101=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 31, 88, 68, 43 ]
94
[ "31+88=119", "68-43=25", "119-25=94" ]
Current State: 94:[31, 88, 68, 43], Operations: [] Exploring Operation: 31+88=119, Resulting Numbers: [68, 43, 119] Generated Node #2: [68, 43, 119] from Operation: 31+88=119 Current State: 94:[68, 43, 119], Operations: ['31+88=119'] Exploring Operation: 68-43=25, Resulting Numbers: [119, 25] Generated Node #3: [119, 25] from Operation: 68-43=25 Current State: 94:[119, 25], Operations: ['31+88=119', '68-43=25'] Exploring Operation: 119-25=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 5, 38, 23, 98 ]
78
[ "5+38=43", "23+98=121", "121-43=78" ]
Current State: 78:[5, 38, 23, 98], Operations: [] Exploring Operation: 5+38=43, Resulting Numbers: [23, 98, 43] Generated Node #2: [23, 98, 43] from Operation: 5+38=43 Current State: 78:[23, 98, 43], Operations: ['5+38=43'] Exploring Operation: 23+98=121, Resulting Numbers: [43, 121] Generated Node #3: [43, 121] from Operation: 23+98=121 Current State: 78:[43, 121], Operations: ['5+38=43', '23+98=121'] Exploring Operation: 121-43=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 57, 2, 13, 53 ]
60
[ "57-53=4", "2+13=15", "4*15=60" ]
Current State: 60:[57, 2, 13, 53], Operations: [] Exploring Operation: 57-53=4, Resulting Numbers: [2, 13, 4] Generated Node #2: [2, 13, 4] from Operation: 57-53=4 Current State: 60:[2, 13, 4], Operations: ['57-53=4'] Exploring Operation: 2+13=15, Resulting Numbers: [4, 15] Generated Node #3: [4, 15] from Operation: 2+13=15 Current State: 60:[4, 15], Operations: ['57-53=4', '2+13=15'] Exploring Operation: 4*15=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 50, 46, 44, 84 ]
17
[ "84-50=34", "46-44=2", "34/2=17" ]
Current State: 17:[50, 46, 44, 84], Operations: [] Exploring Operation: 84-50=34, Resulting Numbers: [46, 44, 34] Generated Node #2: [46, 44, 34] from Operation: 84-50=34 Current State: 17:[46, 44, 34], Operations: ['84-50=34'] Exploring Operation: 46-44=2, Resulting Numbers: [34, 2] Generated Node #3: [34, 2] from Operation: 46-44=2 Current State: 17:[34, 2], Operations: ['84-50=34', '46-44=2'] Exploring Operation: 34/2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 54, 45, 2, 52 ]
88
[ "54-52=2", "45*2=90", "90-2=88" ]
Current State: 88:[54, 45, 2, 52], Operations: [] Exploring Operation: 54-52=2, Resulting Numbers: [45, 2, 2] Generated Node #2: [45, 2, 2] from Operation: 54-52=2 Current State: 88:[45, 2, 2], Operations: ['54-52=2'] Exploring Operation: 45*2=90, Resulting Numbers: [90] 90,88 equal: Goal Reached Exploring Operation: 90-2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 42, 32, 76, 39 ]
70
[ "39-32=7", "42/7=6", "76-6=70" ]
Current State: 70:[42, 32, 76, 39], Operations: [] Exploring Operation: 39-32=7, Resulting Numbers: [42, 76, 7] Generated Node #2: [42, 76, 7] from Operation: 39-32=7 Current State: 70:[42, 76, 7], Operations: ['39-32=7'] Exploring Operation: 42/7=6, Resulting Numbers: [76, 6] Generated Node #3: [76, 6] from Operation: 42/7=6 Current State: 70:[76, 6], Operations: ['39-32=7', '42/7=6'] Exploring Operation: 76-6=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 65, 73, 77, 86 ]
17
[ "73-65=8", "86-77=9", "8+9=17" ]
Current State: 17:[65, 73, 77, 86], Operations: [] Exploring Operation: 73-65=8, Resulting Numbers: [77, 86, 8] Generated Node #2: [77, 86, 8] from Operation: 73-65=8 Current State: 17:[77, 86, 8], Operations: ['73-65=8'] Exploring Operation: 86-77=9, Resulting Numbers: [8, 9] Generated Node #3: [8, 9] from Operation: 86-77=9 Current State: 17:[8, 9], Operations: ['73-65=8', '86-77=9'] Exploring Operation: 8+9=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 38, 51, 6, 3 ]
70
[ "38*3=114", "114/6=19", "51+19=70" ]
Current State: 70:[38, 51, 6, 3], Operations: [] Exploring Operation: 38*3=114, Resulting Numbers: [51, 6, 114] Generated Node #2: [51, 6, 114] from Operation: 38*3=114 Current State: 70:[51, 6, 114], Operations: ['38*3=114'] Exploring Operation: 114/6=19, Resulting Numbers: [51, 19] Generated Node #3: [51, 19] from Operation: 114/6=19 Current State: 70:[51, 19], Operations: ['38*3=114', '114/6=19'] Exploring Operation: 51+19=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 17, 4, 49, 72 ]
84
[ "17+49=66", "72/4=18", "66+18=84" ]
Current State: 84:[17, 4, 49, 72], Operations: [] Exploring Operation: 17+49=66, Resulting Numbers: [4, 72, 66] Generated Node #2: [4, 72, 66] from Operation: 17+49=66 Current State: 84:[4, 72, 66], Operations: ['17+49=66'] Exploring Operation: 72/4=18, Resulting Numbers: [66, 18] Generated Node #3: [66, 18] from Operation: 72/4=18 Current State: 84:[66, 18], Operations: ['17+49=66', '72/4=18'] Exploring Operation: 66+18=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 47, 78, 21, 12 ]
64
[ "78-47=31", "21+12=33", "31+33=64" ]
Current State: 64:[47, 78, 21, 12], Operations: [] Exploring Operation: 78-47=31, Resulting Numbers: [21, 12, 31] Generated Node #2: [21, 12, 31] from Operation: 78-47=31 Current State: 64:[21, 12, 31], Operations: ['78-47=31'] Exploring Operation: 21+12=33, Resulting Numbers: [31, 33] Generated Node #3: [31, 33] from Operation: 21+12=33 Current State: 64:[31, 33], Operations: ['78-47=31', '21+12=33'] Exploring Operation: 31+33=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 36, 88, 70, 96 ]
42
[ "36+88=124", "70+96=166", "166-124=42" ]
Current State: 42:[36, 88, 70, 96], Operations: [] Exploring Operation: 36+88=124, Resulting Numbers: [70, 96, 124] Generated Node #2: [70, 96, 124] from Operation: 36+88=124 Current State: 42:[70, 96, 124], Operations: ['36+88=124'] Exploring Operation: 70+96=166, Resulting Numbers: [124, 166] Generated Node #3: [124, 166] from Operation: 70+96=166 Current State: 42:[124, 166], Operations: ['36+88=124', '70+96=166'] Exploring Operation: 166-124=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 81, 3, 72, 85 ]
88
[ "81-72=9", "9/3=3", "85+3=88" ]
Current State: 88:[81, 3, 72, 85], Operations: [] Exploring Operation: 81-72=9, Resulting Numbers: [3, 85, 9] Generated Node #2: [3, 85, 9] from Operation: 81-72=9 Current State: 88:[3, 85, 9], Operations: ['81-72=9'] Exploring Operation: 9/3=3, Resulting Numbers: [85, 3] Generated Node #3: [85, 3] from Operation: 9/3=3 Current State: 88:[85, 3], Operations: ['81-72=9', '9/3=3'] Exploring Operation: 85+3=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 65, 46, 43, 36 ]
26
[ "65-46=19", "43-36=7", "19+7=26" ]
Current State: 26:[65, 46, 43, 36], Operations: [] Exploring Operation: 65-46=19, Resulting Numbers: [43, 36, 19] Generated Node #2: [43, 36, 19] from Operation: 65-46=19 Current State: 26:[43, 36, 19], Operations: ['65-46=19'] Exploring Operation: 43-36=7, Resulting Numbers: [19, 7] Generated Node #3: [19, 7] from Operation: 43-36=7 Current State: 26:[19, 7], Operations: ['65-46=19', '43-36=7'] Exploring Operation: 19+7=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 6, 96, 67, 83 ]
36
[ "6*96=576", "83-67=16", "576/16=36" ]
Current State: 36:[6, 96, 67, 83], Operations: [] Exploring Operation: 6*96=576, Resulting Numbers: [67, 83, 576] Generated Node #2: [67, 83, 576] from Operation: 6*96=576 Current State: 36:[67, 83, 576], Operations: ['6*96=576'] Exploring Operation: 83-67=16, Resulting Numbers: [576, 16] Generated Node #3: [576, 16] from Operation: 83-67=16 Current State: 36:[576, 16], Operations: ['6*96=576', '83-67=16'] Exploring Operation: 576/16=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 51, 33, 47, 19 ]
18
[ "51+33=84", "47+19=66", "84-66=18" ]
Current State: 18:[51, 33, 47, 19], Operations: [] Exploring Operation: 51+33=84, Resulting Numbers: [47, 19, 84] Generated Node #2: [47, 19, 84] from Operation: 51+33=84 Current State: 18:[47, 19, 84], Operations: ['51+33=84'] Exploring Operation: 47+19=66, Resulting Numbers: [84, 66] Generated Node #3: [84, 66] from Operation: 47+19=66 Current State: 18:[84, 66], Operations: ['51+33=84', '47+19=66'] Exploring Operation: 84-66=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 29, 73, 95, 26 ]
77
[ "73-29=44", "95+26=121", "121-44=77" ]
Current State: 77:[29, 73, 95, 26], Operations: [] Exploring Operation: 73-29=44, Resulting Numbers: [95, 26, 44] Generated Node #2: [95, 26, 44] from Operation: 73-29=44 Current State: 77:[95, 26, 44], Operations: ['73-29=44'] Exploring Operation: 95+26=121, Resulting Numbers: [44, 121] Generated Node #3: [44, 121] from Operation: 95+26=121 Current State: 77:[44, 121], Operations: ['73-29=44', '95+26=121'] Exploring Operation: 121-44=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 91, 21, 24, 81 ]
35
[ "91-21=70", "24+81=105", "105-70=35" ]
Current State: 35:[91, 21, 24, 81], Operations: [] Exploring Operation: 91-21=70, Resulting Numbers: [24, 81, 70] Generated Node #2: [24, 81, 70] from Operation: 91-21=70 Current State: 35:[24, 81, 70], Operations: ['91-21=70'] Exploring Operation: 24+81=105, Resulting Numbers: [70, 105] Generated Node #3: [70, 105] from Operation: 24+81=105 Current State: 35:[70, 105], Operations: ['91-21=70', '24+81=105'] Exploring Operation: 105-70=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 2, 65, 33, 56 ]
72
[ "65-33=32", "32/2=16", "56+16=72" ]
Current State: 72:[2, 65, 33, 56], Operations: [] Exploring Operation: 65-33=32, Resulting Numbers: [2, 56, 32] Generated Node #2: [2, 56, 32] from Operation: 65-33=32 Current State: 72:[2, 56, 32], Operations: ['65-33=32'] Exploring Operation: 32/2=16, Resulting Numbers: [56, 16] Generated Node #3: [56, 16] from Operation: 32/2=16 Current State: 72:[56, 16], Operations: ['65-33=32', '32/2=16'] Exploring Operation: 56+16=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 35, 87, 17, 26 ]
13
[ "35*26=910", "87-17=70", "910/70=13" ]
Current State: 13:[35, 87, 17, 26], Operations: [] Exploring Operation: 35*26=910, Resulting Numbers: [87, 17, 910] Generated Node #2: [87, 17, 910] from Operation: 35*26=910 Current State: 13:[87, 17, 910], Operations: ['35*26=910'] Exploring Operation: 87-17=70, Resulting Numbers: [910, 70] Generated Node #3: [910, 70] from Operation: 87-17=70 Current State: 13:[910, 70], Operations: ['35*26=910', '87-17=70'] Exploring Operation: 910/70=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 91, 65, 7, 4 ]
56
[ "91/7=13", "65+4=69", "69-13=56" ]
Current State: 56:[91, 65, 7, 4], Operations: [] Exploring Operation: 91/7=13, Resulting Numbers: [65, 4, 13] Generated Node #2: [65, 4, 13] from Operation: 91/7=13 Current State: 56:[65, 4, 13], Operations: ['91/7=13'] Exploring Operation: 65+4=69, Resulting Numbers: [13, 69] Generated Node #3: [13, 69] from Operation: 65+4=69 Current State: 56:[13, 69], Operations: ['91/7=13', '65+4=69'] Exploring Operation: 69-13=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 18, 24, 28, 89 ]
79
[ "24-18=6", "28*6=168", "168-89=79" ]
Current State: 79:[18, 24, 28, 89], Operations: [] Exploring Operation: 24-18=6, Resulting Numbers: [28, 89, 6] Generated Node #2: [28, 89, 6] from Operation: 24-18=6 Current State: 79:[28, 89, 6], Operations: ['24-18=6'] Exploring Operation: 28*6=168, Resulting Numbers: [89, 168] Generated Node #3: [89, 168] from Operation: 28*6=168 Current State: 79:[89, 168], Operations: ['24-18=6', '28*6=168'] Exploring Operation: 168-89=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 2, 10, 39, 63 ]
16
[ "10-2=8", "63-39=24", "24-8=16" ]
Current State: 16:[2, 10, 39, 63], Operations: [] Exploring Operation: 10-2=8, Resulting Numbers: [39, 63, 8] Generated Node #2: [39, 63, 8] from Operation: 10-2=8 Current State: 16:[39, 63, 8], Operations: ['10-2=8'] Exploring Operation: 63-39=24, Resulting Numbers: [8, 24] Generated Node #3: [8, 24] from Operation: 63-39=24 Current State: 16:[8, 24], Operations: ['10-2=8', '63-39=24'] Exploring Operation: 24-8=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 48, 5, 49, 32 ]
60
[ "48-5=43", "49-32=17", "43+17=60" ]
Current State: 60:[48, 5, 49, 32], Operations: [] Exploring Operation: 48-5=43, Resulting Numbers: [49, 32, 43] Generated Node #2: [49, 32, 43] from Operation: 48-5=43 Current State: 60:[49, 32, 43], Operations: ['48-5=43'] Exploring Operation: 49-32=17, Resulting Numbers: [43, 17] Generated Node #3: [43, 17] from Operation: 49-32=17 Current State: 60:[43, 17], Operations: ['48-5=43', '49-32=17'] Exploring Operation: 43+17=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 34, 1, 7, 5 ]
69
[ "34*1=34", "7*5=35", "34+35=69" ]
Current State: 69:[34, 1, 7, 5], Operations: [] Exploring Operation: 34*1=34, Resulting Numbers: [7, 5, 34] Generated Node #2: [7, 5, 34] from Operation: 34*1=34 Current State: 69:[7, 5, 34], Operations: ['34*1=34'] Exploring Operation: 7*5=35, Resulting Numbers: [34, 35] Generated Node #3: [34, 35] from Operation: 7*5=35 Current State: 69:[34, 35], Operations: ['34*1=34', '7*5=35'] Exploring Operation: 34+35=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 38, 92, 76, 74 ]
20
[ "38+92=130", "76+74=150", "150-130=20" ]
Current State: 20:[38, 92, 76, 74], Operations: [] Exploring Operation: 38+92=130, Resulting Numbers: [76, 74, 130] Generated Node #2: [76, 74, 130] from Operation: 38+92=130 Current State: 20:[76, 74, 130], Operations: ['38+92=130'] Exploring Operation: 76+74=150, Resulting Numbers: [130, 150] Generated Node #3: [130, 150] from Operation: 76+74=150 Current State: 20:[130, 150], Operations: ['38+92=130', '76+74=150'] Exploring Operation: 150-130=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 75, 2, 55, 69 ]
34
[ "75+69=144", "2*55=110", "144-110=34" ]
Current State: 34:[75, 2, 55, 69], Operations: [] Exploring Operation: 75+69=144, Resulting Numbers: [2, 55, 144] Generated Node #2: [2, 55, 144] from Operation: 75+69=144 Current State: 34:[2, 55, 144], Operations: ['75+69=144'] Exploring Operation: 2*55=110, Resulting Numbers: [144, 110] Generated Node #3: [144, 110] from Operation: 2*55=110 Current State: 34:[144, 110], Operations: ['75+69=144', '2*55=110'] Exploring Operation: 144-110=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 33, 79, 13, 56 ]
15
[ "33+79=112", "112/56=2", "13+2=15" ]
Current State: 15:[33, 79, 13, 56], Operations: [] Exploring Operation: 33+79=112, Resulting Numbers: [13, 56, 112] Generated Node #2: [13, 56, 112] from Operation: 33+79=112 Current State: 15:[13, 56, 112], Operations: ['33+79=112'] Exploring Operation: 112/56=2, Resulting Numbers: [13, 2] Generated Node #3: [13, 2] from Operation: 112/56=2 Current State: 15:[13, 2], Operations: ['33+79=112', '112/56=2'] Exploring Operation: 13+2=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 17, 98, 6, 34 ]
86
[ "34/17=2", "6*2=12", "98-12=86" ]
Current State: 86:[17, 98, 6, 34], Operations: [] Exploring Operation: 34/17=2, Resulting Numbers: [98, 6, 2] Generated Node #2: [98, 6, 2] from Operation: 34/17=2 Current State: 86:[98, 6, 2], Operations: ['34/17=2'] Exploring Operation: 6*2=12, Resulting Numbers: [98, 12] Generated Node #3: [98, 12] from Operation: 6*2=12 Current State: 86:[98, 12], Operations: ['34/17=2', '6*2=12'] Exploring Operation: 98-12=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 42, 58, 58, 9 ]
65
[ "58-42=16", "58-9=49", "16+49=65" ]
Current State: 65:[42, 58, 58, 9], Operations: [] Exploring Operation: 58-42=16, Resulting Numbers: [9, 16] Generated Node #2: [9, 16] from Operation: 58-42=16 Current State: 65:[9, 16], Operations: ['58-42=16'] Exploring Operation: 58-9=49, Resulting Numbers: [16, 49] Generated Node #3: [16, 49] from Operation: 58-9=49 Current State: 65:[16, 49], Operations: ['58-42=16', '58-9=49'] Exploring Operation: 16+49=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 38, 7, 1, 77 ]
32
[ "38+7=45", "1*77=77", "77-45=32" ]
Current State: 32:[38, 7, 1, 77], Operations: [] Exploring Operation: 38+7=45, Resulting Numbers: [1, 77, 45] Generated Node #2: [1, 77, 45] from Operation: 38+7=45 Current State: 32:[1, 77, 45], Operations: ['38+7=45'] Exploring Operation: 1*77=77, Resulting Numbers: [45, 77] Generated Node #3: [45, 77] from Operation: 1*77=77 Current State: 32:[45, 77], Operations: ['38+7=45', '1*77=77'] Exploring Operation: 77-45=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 41, 20, 23, 85 ]
38
[ "23-20=3", "41*3=123", "123-85=38" ]
Current State: 38:[41, 20, 23, 85], Operations: [] Exploring Operation: 23-20=3, Resulting Numbers: [41, 85, 3] Generated Node #2: [41, 85, 3] from Operation: 23-20=3 Current State: 38:[41, 85, 3], Operations: ['23-20=3'] Exploring Operation: 41*3=123, Resulting Numbers: [85, 123] Generated Node #3: [85, 123] from Operation: 41*3=123 Current State: 38:[85, 123], Operations: ['23-20=3', '41*3=123'] Exploring Operation: 123-85=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 30, 28, 80, 22 ]
36
[ "30-28=2", "22*2=44", "80-44=36" ]
Current State: 36:[30, 28, 80, 22], Operations: [] Exploring Operation: 30-28=2, Resulting Numbers: [80, 22, 2] Generated Node #2: [80, 22, 2] from Operation: 30-28=2 Current State: 36:[80, 22, 2], Operations: ['30-28=2'] Exploring Operation: 22*2=44, Resulting Numbers: [80, 44] Generated Node #3: [80, 44] from Operation: 22*2=44 Current State: 36:[80, 44], Operations: ['30-28=2', '22*2=44'] Exploring Operation: 80-44=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 10, 24, 20, 17 ]
71
[ "10+24=34", "20+17=37", "34+37=71" ]
Current State: 71:[10, 24, 20, 17], Operations: [] Exploring Operation: 10+24=34, Resulting Numbers: [20, 17, 34] Generated Node #2: [20, 17, 34] from Operation: 10+24=34 Current State: 71:[20, 17, 34], Operations: ['10+24=34'] Exploring Operation: 20+17=37, Resulting Numbers: [34, 37] Generated Node #3: [34, 37] from Operation: 20+17=37 Current State: 71:[34, 37], Operations: ['10+24=34', '20+17=37'] Exploring Operation: 34+37=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 44, 44, 15, 70 ]
54
[ "44/44=1", "70-15=55", "55-1=54" ]
Current State: 54:[44, 44, 15, 70], Operations: [] Exploring Operation: 44/44=1, Resulting Numbers: [15, 70, 1] Generated Node #2: [15, 70, 1] from Operation: 44/44=1 Current State: 54:[15, 70, 1], Operations: ['44/44=1'] Exploring Operation: 70-15=55, Resulting Numbers: [1, 55] Generated Node #3: [1, 55] from Operation: 70-15=55 Current State: 54:[1, 55], Operations: ['44/44=1', '70-15=55'] Exploring Operation: 55-1=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 43, 64, 88, 5 ]
62
[ "64-43=21", "88-5=83", "83-21=62" ]
Current State: 62:[43, 64, 88, 5], Operations: [] Exploring Operation: 64-43=21, Resulting Numbers: [88, 5, 21] Generated Node #2: [88, 5, 21] from Operation: 64-43=21 Current State: 62:[88, 5, 21], Operations: ['64-43=21'] Exploring Operation: 88-5=83, Resulting Numbers: [21, 83] Generated Node #3: [21, 83] from Operation: 88-5=83 Current State: 62:[21, 83], Operations: ['64-43=21', '88-5=83'] Exploring Operation: 83-21=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 11, 46, 77, 49 ]
53
[ "77/11=7", "49/7=7", "46+7=53" ]
Current State: 53:[11, 46, 77, 49], Operations: [] Exploring Operation: 77/11=7, Resulting Numbers: [46, 49, 7] Generated Node #2: [46, 49, 7] from Operation: 77/11=7 Current State: 53:[46, 49, 7], Operations: ['77/11=7'] Exploring Operation: 49/7=7, Resulting Numbers: [46, 7] Generated Node #3: [46, 7] from Operation: 49/7=7 Current State: 53:[46, 7], Operations: ['77/11=7', '49/7=7'] Exploring Operation: 46+7=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 30, 83, 5, 16 ]
92
[ "30+83=113", "5+16=21", "113-21=92" ]
Current State: 92:[30, 83, 5, 16], Operations: [] Exploring Operation: 30+83=113, Resulting Numbers: [5, 16, 113] Generated Node #2: [5, 16, 113] from Operation: 30+83=113 Current State: 92:[5, 16, 113], Operations: ['30+83=113'] Exploring Operation: 5+16=21, Resulting Numbers: [113, 21] Generated Node #3: [113, 21] from Operation: 5+16=21 Current State: 92:[113, 21], Operations: ['30+83=113', '5+16=21'] Exploring Operation: 113-21=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 63, 59, 2, 45 ]
75
[ "63+59=122", "2+45=47", "122-47=75" ]
Current State: 75:[63, 59, 2, 45], Operations: [] Exploring Operation: 63+59=122, Resulting Numbers: [2, 45, 122] Generated Node #2: [2, 45, 122] from Operation: 63+59=122 Current State: 75:[2, 45, 122], Operations: ['63+59=122'] Exploring Operation: 2+45=47, Resulting Numbers: [122, 47] Generated Node #3: [122, 47] from Operation: 2+45=47 Current State: 75:[122, 47], Operations: ['63+59=122', '2+45=47'] Exploring Operation: 122-47=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 5, 71, 20, 98 ]
23
[ "20/5=4", "98-71=27", "27-4=23" ]
Current State: 23:[5, 71, 20, 98], Operations: [] Exploring Operation: 20/5=4, Resulting Numbers: [71, 98, 4] Generated Node #2: [71, 98, 4] from Operation: 20/5=4 Current State: 23:[71, 98, 4], Operations: ['20/5=4'] Exploring Operation: 98-71=27, Resulting Numbers: [4, 27] Generated Node #3: [4, 27] from Operation: 98-71=27 Current State: 23:[4, 27], Operations: ['20/5=4', '98-71=27'] Exploring Operation: 27-4=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 85, 21, 46, 2 ]
55
[ "85-21=64", "46+64=110", "110/2=55" ]
Current State: 55:[85, 21, 46, 2], Operations: [] Exploring Operation: 85-21=64, Resulting Numbers: [46, 2, 64] Generated Node #2: [46, 2, 64] from Operation: 85-21=64 Current State: 55:[46, 2, 64], Operations: ['85-21=64'] Exploring Operation: 46+64=110, Resulting Numbers: [2, 110] Generated Node #3: [2, 110] from Operation: 46+64=110 Current State: 55:[2, 110], Operations: ['85-21=64', '46+64=110'] Exploring Operation: 110/2=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 43, 47, 15, 8 ]
14
[ "43+47=90", "90/15=6", "8+6=14" ]
Current State: 14:[43, 47, 15, 8], Operations: [] Exploring Operation: 43+47=90, Resulting Numbers: [15, 8, 90] Generated Node #2: [15, 8, 90] from Operation: 43+47=90 Current State: 14:[15, 8, 90], Operations: ['43+47=90'] Exploring Operation: 90/15=6, Resulting Numbers: [8, 6] Generated Node #3: [8, 6] from Operation: 90/15=6 Current State: 14:[8, 6], Operations: ['43+47=90', '90/15=6'] Exploring Operation: 8+6=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 91, 64, 40, 45 ]
19
[ "64*45=2880", "2880/40=72", "91-72=19" ]
Current State: 19:[91, 64, 40, 45], Operations: [] Exploring Operation: 64*45=2880, Resulting Numbers: [91, 40, 2880] Generated Node #2: [91, 40, 2880] from Operation: 64*45=2880 Current State: 19:[91, 40, 2880], Operations: ['64*45=2880'] Exploring Operation: 2880/40=72, Resulting Numbers: [91, 72] Generated Node #3: [91, 72] from Operation: 2880/40=72 Current State: 19:[91, 72], Operations: ['64*45=2880', '2880/40=72'] Exploring Operation: 91-72=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 23, 9, 27, 34 ]
18
[ "23*27=621", "621-9=612", "612/34=18" ]
Current State: 18:[23, 9, 27, 34], Operations: [] Exploring Operation: 23*27=621, Resulting Numbers: [9, 34, 621] Generated Node #2: [9, 34, 621] from Operation: 23*27=621 Current State: 18:[9, 34, 621], Operations: ['23*27=621'] Exploring Operation: 621-9=612, Resulting Numbers: [34, 612] Generated Node #3: [34, 612] from Operation: 621-9=612 Current State: 18:[34, 612], Operations: ['23*27=621', '621-9=612'] Exploring Operation: 612/34=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 42, 17, 19, 9 ]
12
[ "19-17=2", "42/2=21", "21-9=12" ]
Current State: 12:[42, 17, 19, 9], Operations: [] Exploring Operation: 19-17=2, Resulting Numbers: [42, 9, 2] Generated Node #2: [42, 9, 2] from Operation: 19-17=2 Current State: 12:[42, 9, 2], Operations: ['19-17=2'] Exploring Operation: 42/2=21, Resulting Numbers: [9, 21] Generated Node #3: [9, 21] from Operation: 42/2=21 Current State: 12:[9, 21], Operations: ['19-17=2', '42/2=21'] Exploring Operation: 21-9=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 5, 2, 27, 2 ]
40
[ "5+2=7", "27-7=20", "2*20=40" ]
Current State: 40:[5, 2, 27, 2], Operations: [] Exploring Operation: 5+2=7, Resulting Numbers: [27, 7] Generated Node #2: [27, 7] from Operation: 5+2=7 Current State: 40:[27, 7], Operations: ['5+2=7'] Exploring Operation: 27-7=20, Resulting Numbers: [20] 20,40 equal: Goal Reached Exploring Operation: 2*20=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 76, 54, 30, 30 ]
82
[ "76-54=22", "30+30=60", "22+60=82" ]
Current State: 82:[76, 54, 30, 30], Operations: [] Exploring Operation: 76-54=22, Resulting Numbers: [30, 30, 22] Generated Node #2: [30, 30, 22] from Operation: 76-54=22 Current State: 82:[30, 30, 22], Operations: ['76-54=22'] Exploring Operation: 30+30=60, Resulting Numbers: [22, 60] Generated Node #3: [22, 60] from Operation: 30+30=60 Current State: 82:[22, 60], Operations: ['76-54=22', '30+30=60'] Exploring Operation: 22+60=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 22, 6, 23, 8 ]
55
[ "23-8=15", "22*15=330", "330/6=55" ]
Current State: 55:[22, 6, 23, 8], Operations: [] Exploring Operation: 23-8=15, Resulting Numbers: [22, 6, 15] Generated Node #2: [22, 6, 15] from Operation: 23-8=15 Current State: 55:[22, 6, 15], Operations: ['23-8=15'] Exploring Operation: 22*15=330, Resulting Numbers: [6, 330] Generated Node #3: [6, 330] from Operation: 22*15=330 Current State: 55:[6, 330], Operations: ['23-8=15', '22*15=330'] Exploring Operation: 330/6=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 3, 46, 42, 87 ]
89
[ "42+87=129", "129/3=43", "46+43=89" ]
Current State: 89:[3, 46, 42, 87], Operations: [] Exploring Operation: 42+87=129, Resulting Numbers: [3, 46, 129] Generated Node #2: [3, 46, 129] from Operation: 42+87=129 Current State: 89:[3, 46, 129], Operations: ['42+87=129'] Exploring Operation: 129/3=43, Resulting Numbers: [46, 43] Generated Node #3: [46, 43] from Operation: 129/3=43 Current State: 89:[46, 43], Operations: ['42+87=129', '129/3=43'] Exploring Operation: 46+43=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 33, 2, 69, 41 ]
75
[ "33+2=35", "69+41=110", "110-35=75" ]
Current State: 75:[33, 2, 69, 41], Operations: [] Exploring Operation: 33+2=35, Resulting Numbers: [69, 41, 35] Generated Node #2: [69, 41, 35] from Operation: 33+2=35 Current State: 75:[69, 41, 35], Operations: ['33+2=35'] Exploring Operation: 69+41=110, Resulting Numbers: [35, 110] Generated Node #3: [35, 110] from Operation: 69+41=110 Current State: 75:[35, 110], Operations: ['33+2=35', '69+41=110'] Exploring Operation: 110-35=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 28, 17, 10, 14 ]
13
[ "28-17=11", "10+14=24", "24-11=13" ]
Current State: 13:[28, 17, 10, 14], Operations: [] Exploring Operation: 28-17=11, Resulting Numbers: [10, 14, 11] Generated Node #2: [10, 14, 11] from Operation: 28-17=11 Current State: 13:[10, 14, 11], Operations: ['28-17=11'] Exploring Operation: 10+14=24, Resulting Numbers: [11, 24] Generated Node #3: [11, 24] from Operation: 10+14=24 Current State: 13:[11, 24], Operations: ['28-17=11', '10+14=24'] Exploring Operation: 24-11=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 85, 3, 24, 80 ]
83
[ "80-24=56", "3*56=168", "168-85=83" ]
Current State: 83:[85, 3, 24, 80], Operations: [] Exploring Operation: 80-24=56, Resulting Numbers: [85, 3, 56] Generated Node #2: [85, 3, 56] from Operation: 80-24=56 Current State: 83:[85, 3, 56], Operations: ['80-24=56'] Exploring Operation: 3*56=168, Resulting Numbers: [85, 168] Generated Node #3: [85, 168] from Operation: 3*56=168 Current State: 83:[85, 168], Operations: ['80-24=56', '3*56=168'] Exploring Operation: 168-85=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 40, 36, 60, 47 ]
31
[ "40+36=76", "60+47=107", "107-76=31" ]
Current State: 31:[40, 36, 60, 47], Operations: [] Exploring Operation: 40+36=76, Resulting Numbers: [60, 47, 76] Generated Node #2: [60, 47, 76] from Operation: 40+36=76 Current State: 31:[60, 47, 76], Operations: ['40+36=76'] Exploring Operation: 60+47=107, Resulting Numbers: [76, 107] Generated Node #3: [76, 107] from Operation: 60+47=107 Current State: 31:[76, 107], Operations: ['40+36=76', '60+47=107'] Exploring Operation: 107-76=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 93, 61, 65, 64 ]
84
[ "93-65=28", "64-61=3", "28*3=84" ]
Current State: 84:[93, 61, 65, 64], Operations: [] Exploring Operation: 93-65=28, Resulting Numbers: [61, 64, 28] Generated Node #2: [61, 64, 28] from Operation: 93-65=28 Current State: 84:[61, 64, 28], Operations: ['93-65=28'] Exploring Operation: 64-61=3, Resulting Numbers: [28, 3] Generated Node #3: [28, 3] from Operation: 64-61=3 Current State: 84:[28, 3], Operations: ['93-65=28', '64-61=3'] Exploring Operation: 28*3=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 65, 75, 56, 10 ]
36
[ "75-65=10", "56-10=46", "46-10=36" ]
Current State: 36:[65, 75, 56, 10], Operations: [] Exploring Operation: 75-65=10, Resulting Numbers: [56, 10, 10] Generated Node #2: [56, 10, 10] from Operation: 75-65=10 Current State: 36:[56, 10, 10], Operations: ['75-65=10'] Exploring Operation: 56-10=46, Resulting Numbers: [46] 46,36 equal: Goal Reached Exploring Operation: 46-10=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 75, 21, 49, 40 ]
35
[ "75-21=54", "49+40=89", "89-54=35" ]
Current State: 35:[75, 21, 49, 40], Operations: [] Exploring Operation: 75-21=54, Resulting Numbers: [49, 40, 54] Generated Node #2: [49, 40, 54] from Operation: 75-21=54 Current State: 35:[49, 40, 54], Operations: ['75-21=54'] Exploring Operation: 49+40=89, Resulting Numbers: [54, 89] Generated Node #3: [54, 89] from Operation: 49+40=89 Current State: 35:[54, 89], Operations: ['75-21=54', '49+40=89'] Exploring Operation: 89-54=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 39, 63, 66, 65 ]
23
[ "63-39=24", "66-65=1", "24-1=23" ]
Current State: 23:[39, 63, 66, 65], Operations: [] Exploring Operation: 63-39=24, Resulting Numbers: [66, 65, 24] Generated Node #2: [66, 65, 24] from Operation: 63-39=24 Current State: 23:[66, 65, 24], Operations: ['63-39=24'] Exploring Operation: 66-65=1, Resulting Numbers: [24, 1] Generated Node #3: [24, 1] from Operation: 66-65=1 Current State: 23:[24, 1], Operations: ['63-39=24', '66-65=1'] Exploring Operation: 24-1=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 18, 71, 37, 74 ]
80
[ "18*37=666", "666/74=9", "71+9=80" ]
Current State: 80:[18, 71, 37, 74], Operations: [] Exploring Operation: 18*37=666, Resulting Numbers: [71, 74, 666] Generated Node #2: [71, 74, 666] from Operation: 18*37=666 Current State: 80:[71, 74, 666], Operations: ['18*37=666'] Exploring Operation: 666/74=9, Resulting Numbers: [71, 9] Generated Node #3: [71, 9] from Operation: 666/74=9 Current State: 80:[71, 9], Operations: ['18*37=666', '666/74=9'] Exploring Operation: 71+9=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 24, 43, 62, 11 ]
16
[ "24+43=67", "62-11=51", "67-51=16" ]
Current State: 16:[24, 43, 62, 11], Operations: [] Exploring Operation: 24+43=67, Resulting Numbers: [62, 11, 67] Generated Node #2: [62, 11, 67] from Operation: 24+43=67 Current State: 16:[62, 11, 67], Operations: ['24+43=67'] Exploring Operation: 62-11=51, Resulting Numbers: [67, 51] Generated Node #3: [67, 51] from Operation: 62-11=51 Current State: 16:[67, 51], Operations: ['24+43=67', '62-11=51'] Exploring Operation: 67-51=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 8, 76, 53, 16 ]
91
[ "8*76=608", "608/16=38", "53+38=91" ]
Current State: 91:[8, 76, 53, 16], Operations: [] Exploring Operation: 8*76=608, Resulting Numbers: [53, 16, 608] Generated Node #2: [53, 16, 608] from Operation: 8*76=608 Current State: 91:[53, 16, 608], Operations: ['8*76=608'] Exploring Operation: 608/16=38, Resulting Numbers: [53, 38] Generated Node #3: [53, 38] from Operation: 608/16=38 Current State: 91:[53, 38], Operations: ['8*76=608', '608/16=38'] Exploring Operation: 53+38=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 50, 87, 9, 9 ]
37
[ "87-50=37", "9-9=0", "37+0=37" ]
Current State: 37:[50, 87, 9, 9], Operations: [] Exploring Operation: 87-50=37, Resulting Numbers: [9, 9, 37] Generated Node #2: [9, 9, 37] from Operation: 87-50=37 Current State: 37:[9, 9, 37], Operations: ['87-50=37'] Exploring Operation: 9-9=0, Resulting Numbers: [37, 0] Generated Node #3: [37, 0] from Operation: 9-9=0 Current State: 37:[37, 0], Operations: ['87-50=37', '9-9=0'] Exploring Operation: 37+0=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 36, 43, 15, 90 ]
70
[ "43-15=28", "90*28=2520", "2520/36=70" ]
Current State: 70:[36, 43, 15, 90], Operations: [] Exploring Operation: 43-15=28, Resulting Numbers: [36, 90, 28] Generated Node #2: [36, 90, 28] from Operation: 43-15=28 Current State: 70:[36, 90, 28], Operations: ['43-15=28'] Exploring Operation: 90*28=2520, Resulting Numbers: [36, 2520] Generated Node #3: [36, 2520] from Operation: 90*28=2520 Current State: 70:[36, 2520], Operations: ['43-15=28', '90*28=2520'] Exploring Operation: 2520/36=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 86, 96, 13, 1 ]
23
[ "96-86=10", "13*1=13", "10+13=23" ]
Current State: 23:[86, 96, 13, 1], Operations: [] Exploring Operation: 96-86=10, Resulting Numbers: [13, 1, 10] Generated Node #2: [13, 1, 10] from Operation: 96-86=10 Current State: 23:[13, 1, 10], Operations: ['96-86=10'] Exploring Operation: 13*1=13, Resulting Numbers: [10, 13] Generated Node #3: [10, 13] from Operation: 13*1=13 Current State: 23:[10, 13], Operations: ['96-86=10', '13*1=13'] Exploring Operation: 10+13=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 70, 96, 30, 11 ]
64
[ "96-30=66", "66/11=6", "70-6=64" ]
Current State: 64:[70, 96, 30, 11], Operations: [] Exploring Operation: 96-30=66, Resulting Numbers: [70, 11, 66] Generated Node #2: [70, 11, 66] from Operation: 96-30=66 Current State: 64:[70, 11, 66], Operations: ['96-30=66'] Exploring Operation: 66/11=6, Resulting Numbers: [70, 6] Generated Node #3: [70, 6] from Operation: 66/11=6 Current State: 64:[70, 6], Operations: ['96-30=66', '66/11=6'] Exploring Operation: 70-6=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4