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
[ 40, 6, 3, 11 ]
91
[ "40*6=240", "240/3=80", "11+80=91" ]
Current State: 91:[40, 6, 3, 11], Operations: [] Exploring Operation: 40*6=240, Resulting Numbers: [3, 11, 240] Generated Node #2: [3, 11, 240] from Operation: 40*6=240 Current State: 91:[3, 11, 240], Operations: ['40*6=240'] Exploring Operation: 240/3=80, Resulting Numbers: [11, 80] Generated Node #3: [11, 80] from Operation: 240/3=80 Current State: 91:[11, 80], Operations: ['40*6=240', '240/3=80'] Exploring Operation: 11+80=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 60, 13, 10, 24 ]
94
[ "60-24=36", "13*10=130", "130-36=94" ]
Current State: 94:[60, 13, 10, 24], Operations: [] Exploring Operation: 60-24=36, Resulting Numbers: [13, 10, 36] Generated Node #2: [13, 10, 36] from Operation: 60-24=36 Current State: 94:[13, 10, 36], Operations: ['60-24=36'] Exploring Operation: 13*10=130, Resulting Numbers: [36, 130] Generated Node #3: [36, 130] from Operation: 13*10=130 Current State: 94:[36, 130], Operations: ['60-24=36', '13*10=130'] Exploring Operation: 130-36=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 92, 90, 62, 64 ]
91
[ "92+90=182", "64-62=2", "182/2=91" ]
Current State: 91:[92, 90, 62, 64], Operations: [] Exploring Operation: 92+90=182, Resulting Numbers: [62, 64, 182] Generated Node #2: [62, 64, 182] from Operation: 92+90=182 Current State: 91:[62, 64, 182], Operations: ['92+90=182'] Exploring Operation: 64-62=2, Resulting Numbers: [182, 2] Generated Node #3: [182, 2] from Operation: 64-62=2 Current State: 91:[182, 2], Operations: ['92+90=182', '64-62=2'] Exploring Operation: 182/2=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 34, 16, 47, 5 ]
93
[ "47-34=13", "16*5=80", "13+80=93" ]
Current State: 93:[34, 16, 47, 5], Operations: [] Exploring Operation: 47-34=13, Resulting Numbers: [16, 5, 13] Generated Node #2: [16, 5, 13] from Operation: 47-34=13 Current State: 93:[16, 5, 13], Operations: ['47-34=13'] Exploring Operation: 16*5=80, Resulting Numbers: [13, 80] Generated Node #3: [13, 80] from Operation: 16*5=80 Current State: 93:[13, 80], Operations: ['47-34=13', '16*5=80'] Exploring Operation: 13+80=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 64, 13, 3, 82 ]
53
[ "64+13=77", "82+77=159", "159/3=53" ]
Current State: 53:[64, 13, 3, 82], Operations: [] Exploring Operation: 64+13=77, Resulting Numbers: [3, 82, 77] Generated Node #2: [3, 82, 77] from Operation: 64+13=77 Current State: 53:[3, 82, 77], Operations: ['64+13=77'] Exploring Operation: 82+77=159, Resulting Numbers: [3, 159] Generated Node #3: [3, 159] from Operation: 82+77=159 Current State: 53:[3, 159], Operations: ['64+13=77', '82+77=159'] Exploring Operation: 159/3=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 99, 48, 1, 91 ]
56
[ "99+48=147", "1*91=91", "147-91=56" ]
Current State: 56:[99, 48, 1, 91], Operations: [] Exploring Operation: 99+48=147, Resulting Numbers: [1, 91, 147] Generated Node #2: [1, 91, 147] from Operation: 99+48=147 Current State: 56:[1, 91, 147], Operations: ['99+48=147'] Exploring Operation: 1*91=91, Resulting Numbers: [147, 91] Generated Node #3: [147, 91] from Operation: 1*91=91 Current State: 56:[147, 91], Operations: ['99+48=147', '1*91=91'] Exploring Operation: 147-91=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 5, 6, 15, 12 ]
38
[ "5+6=11", "15+12=27", "11+27=38" ]
Current State: 38:[5, 6, 15, 12], Operations: [] Exploring Operation: 5+6=11, Resulting Numbers: [15, 12, 11] Generated Node #2: [15, 12, 11] from Operation: 5+6=11 Current State: 38:[15, 12, 11], Operations: ['5+6=11'] Exploring Operation: 15+12=27, Resulting Numbers: [11, 27] Generated Node #3: [11, 27] from Operation: 15+12=27 Current State: 38:[11, 27], Operations: ['5+6=11', '15+12=27'] Exploring Operation: 11+27=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 34, 44, 3, 48 ]
42
[ "34+44=78", "48+78=126", "126/3=42" ]
Current State: 42:[34, 44, 3, 48], Operations: [] Exploring Operation: 34+44=78, Resulting Numbers: [3, 48, 78] Generated Node #2: [3, 48, 78] from Operation: 34+44=78 Current State: 42:[3, 48, 78], Operations: ['34+44=78'] Exploring Operation: 48+78=126, Resulting Numbers: [3, 126] Generated Node #3: [3, 126] from Operation: 48+78=126 Current State: 42:[3, 126], Operations: ['34+44=78', '48+78=126'] Exploring Operation: 126/3=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 56, 44, 24, 27 ]
49
[ "56+44=100", "24+27=51", "100-51=49" ]
Current State: 49:[56, 44, 24, 27], Operations: [] Exploring Operation: 56+44=100, Resulting Numbers: [24, 27, 100] Generated Node #2: [24, 27, 100] from Operation: 56+44=100 Current State: 49:[24, 27, 100], Operations: ['56+44=100'] Exploring Operation: 24+27=51, Resulting Numbers: [100, 51] Generated Node #3: [100, 51] from Operation: 24+27=51 Current State: 49:[100, 51], Operations: ['56+44=100', '24+27=51'] Exploring Operation: 100-51=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 6, 4, 26, 96 ]
46
[ "6*4=24", "96-26=70", "70-24=46" ]
Current State: 46:[6, 4, 26, 96], Operations: [] Exploring Operation: 6*4=24, Resulting Numbers: [26, 96, 24] Generated Node #2: [26, 96, 24] from Operation: 6*4=24 Current State: 46:[26, 96, 24], Operations: ['6*4=24'] Exploring Operation: 96-26=70, Resulting Numbers: [24, 70] Generated Node #3: [24, 70] from Operation: 96-26=70 Current State: 46:[24, 70], Operations: ['6*4=24', '96-26=70'] Exploring Operation: 70-24=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 5, 14, 54, 3 ]
81
[ "14-5=9", "3*9=27", "54+27=81" ]
Current State: 81:[5, 14, 54, 3], Operations: [] Exploring Operation: 14-5=9, Resulting Numbers: [54, 3, 9] Generated Node #2: [54, 3, 9] from Operation: 14-5=9 Current State: 81:[54, 3, 9], Operations: ['14-5=9'] Exploring Operation: 3*9=27, Resulting Numbers: [54, 27] Generated Node #3: [54, 27] from Operation: 3*9=27 Current State: 81:[54, 27], Operations: ['14-5=9', '3*9=27'] Exploring Operation: 54+27=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 24, 31, 57, 94 ]
44
[ "31-24=7", "94-57=37", "7+37=44" ]
Current State: 44:[24, 31, 57, 94], Operations: [] Exploring Operation: 31-24=7, Resulting Numbers: [57, 94, 7] Generated Node #2: [57, 94, 7] from Operation: 31-24=7 Current State: 44:[57, 94, 7], Operations: ['31-24=7'] Exploring Operation: 94-57=37, Resulting Numbers: [7, 37] Generated Node #3: [7, 37] from Operation: 94-57=37 Current State: 44:[7, 37], Operations: ['31-24=7', '94-57=37'] Exploring Operation: 7+37=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 56, 54, 23, 74 ]
60
[ "56-54=2", "74/2=37", "23+37=60" ]
Current State: 60:[56, 54, 23, 74], Operations: [] Exploring Operation: 56-54=2, Resulting Numbers: [23, 74, 2] Generated Node #2: [23, 74, 2] from Operation: 56-54=2 Current State: 60:[23, 74, 2], Operations: ['56-54=2'] Exploring Operation: 74/2=37, Resulting Numbers: [23, 37] Generated Node #3: [23, 37] from Operation: 74/2=37 Current State: 60:[23, 37], Operations: ['56-54=2', '74/2=37'] Exploring Operation: 23+37=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 9, 91, 6, 9 ]
15
[ "9/9=1", "91-1=90", "90/6=15" ]
Current State: 15:[9, 91, 6, 9], Operations: [] Exploring Operation: 9/9=1, Resulting Numbers: [91, 6, 1] Generated Node #2: [91, 6, 1] from Operation: 9/9=1 Current State: 15:[91, 6, 1], Operations: ['9/9=1'] Exploring Operation: 91-1=90, Resulting Numbers: [6, 90] Generated Node #3: [6, 90] from Operation: 91-1=90 Current State: 15:[6, 90], Operations: ['9/9=1', '91-1=90'] Exploring Operation: 90/6=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 34, 45, 28, 37 ]
99
[ "45-34=11", "37-28=9", "11*9=99" ]
Current State: 99:[34, 45, 28, 37], Operations: [] Exploring Operation: 45-34=11, Resulting Numbers: [28, 37, 11] Generated Node #2: [28, 37, 11] from Operation: 45-34=11 Current State: 99:[28, 37, 11], Operations: ['45-34=11'] Exploring Operation: 37-28=9, Resulting Numbers: [11, 9] Generated Node #3: [11, 9] from Operation: 37-28=9 Current State: 99:[11, 9], Operations: ['45-34=11', '37-28=9'] Exploring Operation: 11*9=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 34, 24, 37, 33 ]
54
[ "34+24=58", "37-33=4", "58-4=54" ]
Current State: 54:[34, 24, 37, 33], Operations: [] Exploring Operation: 34+24=58, Resulting Numbers: [37, 33, 58] Generated Node #2: [37, 33, 58] from Operation: 34+24=58 Current State: 54:[37, 33, 58], Operations: ['34+24=58'] Exploring Operation: 37-33=4, Resulting Numbers: [58, 4] Generated Node #3: [58, 4] from Operation: 37-33=4 Current State: 54:[58, 4], Operations: ['34+24=58', '37-33=4'] Exploring Operation: 58-4=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 76, 38, 49, 32 ]
34
[ "76/38=2", "49-32=17", "2*17=34" ]
Current State: 34:[76, 38, 49, 32], Operations: [] Exploring Operation: 76/38=2, Resulting Numbers: [49, 32, 2] Generated Node #2: [49, 32, 2] from Operation: 76/38=2 Current State: 34:[49, 32, 2], Operations: ['76/38=2'] Exploring Operation: 49-32=17, Resulting Numbers: [2, 17] Generated Node #3: [2, 17] from Operation: 49-32=17 Current State: 34:[2, 17], Operations: ['76/38=2', '49-32=17'] Exploring Operation: 2*17=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 19, 3, 29, 57 ]
84
[ "57/19=3", "3*29=87", "87-3=84" ]
Current State: 84:[19, 3, 29, 57], Operations: [] Exploring Operation: 57/19=3, Resulting Numbers: [3, 29, 3] Generated Node #2: [3, 29, 3] from Operation: 57/19=3 Current State: 84:[3, 29, 3], Operations: ['57/19=3'] Exploring Operation: 3*29=87, Resulting Numbers: [87] 87,84 equal: Goal Reached Exploring Operation: 87-3=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 61, 82, 29, 31 ]
23
[ "82-61=21", "31-29=2", "21+2=23" ]
Current State: 23:[61, 82, 29, 31], Operations: [] Exploring Operation: 82-61=21, Resulting Numbers: [29, 31, 21] Generated Node #2: [29, 31, 21] from Operation: 82-61=21 Current State: 23:[29, 31, 21], Operations: ['82-61=21'] Exploring Operation: 31-29=2, Resulting Numbers: [21, 2] Generated Node #3: [21, 2] from Operation: 31-29=2 Current State: 23:[21, 2], Operations: ['82-61=21', '31-29=2'] Exploring Operation: 21+2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 9, 92, 2, 84 ]
91
[ "9+84=93", "92*2=184", "184-93=91" ]
Current State: 91:[9, 92, 2, 84], Operations: [] Exploring Operation: 9+84=93, Resulting Numbers: [92, 2, 93] Generated Node #2: [92, 2, 93] from Operation: 9+84=93 Current State: 91:[92, 2, 93], Operations: ['9+84=93'] Exploring Operation: 92*2=184, Resulting Numbers: [93, 184] Generated Node #3: [93, 184] from Operation: 92*2=184 Current State: 91:[93, 184], Operations: ['9+84=93', '92*2=184'] Exploring Operation: 184-93=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 40, 46, 96, 44 ]
60
[ "46-40=6", "96/6=16", "44+16=60" ]
Current State: 60:[40, 46, 96, 44], Operations: [] Exploring Operation: 46-40=6, Resulting Numbers: [96, 44, 6] Generated Node #2: [96, 44, 6] from Operation: 46-40=6 Current State: 60:[96, 44, 6], Operations: ['46-40=6'] Exploring Operation: 96/6=16, Resulting Numbers: [44, 16] Generated Node #3: [44, 16] from Operation: 96/6=16 Current State: 60:[44, 16], Operations: ['46-40=6', '96/6=16'] Exploring Operation: 44+16=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 3, 1, 77, 53 ]
28
[ "3+1=4", "77-53=24", "4+24=28" ]
Current State: 28:[3, 1, 77, 53], Operations: [] Exploring Operation: 3+1=4, Resulting Numbers: [77, 53, 4] Generated Node #2: [77, 53, 4] from Operation: 3+1=4 Current State: 28:[77, 53, 4], Operations: ['3+1=4'] Exploring Operation: 77-53=24, Resulting Numbers: [4, 24] Generated Node #3: [4, 24] from Operation: 77-53=24 Current State: 28:[4, 24], Operations: ['3+1=4', '77-53=24'] Exploring Operation: 4+24=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 72, 3, 94, 61 ]
86
[ "72-3=69", "94+61=155", "155-69=86" ]
Current State: 86:[72, 3, 94, 61], Operations: [] Exploring Operation: 72-3=69, Resulting Numbers: [94, 61, 69] Generated Node #2: [94, 61, 69] from Operation: 72-3=69 Current State: 86:[94, 61, 69], Operations: ['72-3=69'] Exploring Operation: 94+61=155, Resulting Numbers: [69, 155] Generated Node #3: [69, 155] from Operation: 94+61=155 Current State: 86:[69, 155], Operations: ['72-3=69', '94+61=155'] Exploring Operation: 155-69=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 98, 56, 24, 64 ]
88
[ "98*64=6272", "6272/56=112", "112-24=88" ]
Current State: 88:[98, 56, 24, 64], Operations: [] Exploring Operation: 98*64=6272, Resulting Numbers: [56, 24, 6272] Generated Node #2: [56, 24, 6272] from Operation: 98*64=6272 Current State: 88:[56, 24, 6272], Operations: ['98*64=6272'] Exploring Operation: 6272/56=112, Resulting Numbers: [24, 112] Generated Node #3: [24, 112] from Operation: 6272/56=112 Current State: 88:[24, 112], Operations: ['98*64=6272', '6272/56=112'] Exploring Operation: 112-24=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 96, 37, 5, 99 ]
33
[ "37-5=32", "96/32=3", "99/3=33" ]
Current State: 33:[96, 37, 5, 99], Operations: [] Exploring Operation: 37-5=32, Resulting Numbers: [96, 99, 32] Generated Node #2: [96, 99, 32] from Operation: 37-5=32 Current State: 33:[96, 99, 32], Operations: ['37-5=32'] Exploring Operation: 96/32=3, Resulting Numbers: [99, 3] Generated Node #3: [99, 3] from Operation: 96/32=3 Current State: 33:[99, 3], Operations: ['37-5=32', '96/32=3'] Exploring Operation: 99/3=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 8, 11, 9, 33 ]
19
[ "33/11=3", "9*3=27", "27-8=19" ]
Current State: 19:[8, 11, 9, 33], Operations: [] Exploring Operation: 33/11=3, Resulting Numbers: [8, 9, 3] Generated Node #2: [8, 9, 3] from Operation: 33/11=3 Current State: 19:[8, 9, 3], Operations: ['33/11=3'] Exploring Operation: 9*3=27, Resulting Numbers: [8, 27] Generated Node #3: [8, 27] from Operation: 9*3=27 Current State: 19:[8, 27], Operations: ['33/11=3', '9*3=27'] Exploring Operation: 27-8=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 4, 5, 51, 84 ]
98
[ "5+51=56", "56/4=14", "84+14=98" ]
Current State: 98:[4, 5, 51, 84], Operations: [] Exploring Operation: 5+51=56, Resulting Numbers: [4, 84, 56] Generated Node #2: [4, 84, 56] from Operation: 5+51=56 Current State: 98:[4, 84, 56], Operations: ['5+51=56'] Exploring Operation: 56/4=14, Resulting Numbers: [84, 14] Generated Node #3: [84, 14] from Operation: 56/4=14 Current State: 98:[84, 14], Operations: ['5+51=56', '56/4=14'] Exploring Operation: 84+14=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 22, 78, 16, 96 ]
62
[ "78-22=56", "96/16=6", "56+6=62" ]
Current State: 62:[22, 78, 16, 96], Operations: [] Exploring Operation: 78-22=56, Resulting Numbers: [16, 96, 56] Generated Node #2: [16, 96, 56] from Operation: 78-22=56 Current State: 62:[16, 96, 56], Operations: ['78-22=56'] Exploring Operation: 96/16=6, Resulting Numbers: [56, 6] Generated Node #3: [56, 6] from Operation: 96/16=6 Current State: 62:[56, 6], Operations: ['78-22=56', '96/16=6'] Exploring Operation: 56+6=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 20, 71, 69, 10 ]
67
[ "20*69=1380", "1380/10=138", "138-71=67" ]
Current State: 67:[20, 71, 69, 10], Operations: [] Exploring Operation: 20*69=1380, Resulting Numbers: [71, 10, 1380] Generated Node #2: [71, 10, 1380] from Operation: 20*69=1380 Current State: 67:[71, 10, 1380], Operations: ['20*69=1380'] Exploring Operation: 1380/10=138, Resulting Numbers: [71, 138] Generated Node #3: [71, 138] from Operation: 1380/10=138 Current State: 67:[71, 138], Operations: ['20*69=1380', '1380/10=138'] Exploring Operation: 138-71=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 62, 62, 23, 66 ]
89
[ "62-62=0", "23+66=89", "0+89=89" ]
Current State: 89:[62, 62, 23, 66], Operations: [] Exploring Operation: 62-62=0, Resulting Numbers: [23, 66, 0] Generated Node #2: [23, 66, 0] from Operation: 62-62=0 Current State: 89:[23, 66, 0], Operations: ['62-62=0'] Exploring Operation: 23+66=89, Resulting Numbers: [0, 89] Generated Node #3: [0, 89] from Operation: 23+66=89 Current State: 89:[0, 89], Operations: ['62-62=0', '23+66=89'] Exploring Operation: 0+89=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 76, 63, 61, 85 ]
47
[ "63-61=2", "76/2=38", "85-38=47" ]
Current State: 47:[76, 63, 61, 85], Operations: [] Exploring Operation: 63-61=2, Resulting Numbers: [76, 85, 2] Generated Node #2: [76, 85, 2] from Operation: 63-61=2 Current State: 47:[76, 85, 2], Operations: ['63-61=2'] Exploring Operation: 76/2=38, Resulting Numbers: [85, 38] Generated Node #3: [85, 38] from Operation: 76/2=38 Current State: 47:[85, 38], Operations: ['63-61=2', '76/2=38'] Exploring Operation: 85-38=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 44, 34, 36, 10 ]
17
[ "44-36=8", "10-8=2", "34/2=17" ]
Current State: 17:[44, 34, 36, 10], Operations: [] Exploring Operation: 44-36=8, Resulting Numbers: [34, 10, 8] Generated Node #2: [34, 10, 8] from Operation: 44-36=8 Current State: 17:[34, 10, 8], Operations: ['44-36=8'] Exploring Operation: 10-8=2, Resulting Numbers: [34, 2] Generated Node #3: [34, 2] from Operation: 10-8=2 Current State: 17:[34, 2], Operations: ['44-36=8', '10-8=2'] Exploring Operation: 34/2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 39, 39, 60, 74 ]
60
[ "39-39=0", "74*0=0", "60+0=60" ]
Current State: 60:[39, 39, 60, 74], Operations: [] Exploring Operation: 39-39=0, Resulting Numbers: [60, 74, 0] Generated Node #2: [60, 74, 0] from Operation: 39-39=0 Current State: 60:[60, 74, 0], Operations: ['39-39=0'] Exploring Operation: 74*0=0, Resulting Numbers: [60, 0] Generated Node #3: [60, 0] from Operation: 74*0=0 Current State: 60:[60, 0], Operations: ['39-39=0', '74*0=0'] Exploring Operation: 60+0=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 80, 2, 64, 58 ]
20
[ "80-58=22", "2*22=44", "64-44=20" ]
Current State: 20:[80, 2, 64, 58], Operations: [] Exploring Operation: 80-58=22, Resulting Numbers: [2, 64, 22] Generated Node #2: [2, 64, 22] from Operation: 80-58=22 Current State: 20:[2, 64, 22], Operations: ['80-58=22'] Exploring Operation: 2*22=44, Resulting Numbers: [64, 44] Generated Node #3: [64, 44] from Operation: 2*22=44 Current State: 20:[64, 44], Operations: ['80-58=22', '2*22=44'] Exploring Operation: 64-44=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 75, 3, 7, 44 ]
62
[ "75/3=25", "44-7=37", "25+37=62" ]
Current State: 62:[75, 3, 7, 44], Operations: [] Exploring Operation: 75/3=25, Resulting Numbers: [7, 44, 25] Generated Node #2: [7, 44, 25] from Operation: 75/3=25 Current State: 62:[7, 44, 25], Operations: ['75/3=25'] Exploring Operation: 44-7=37, Resulting Numbers: [25, 37] Generated Node #3: [25, 37] from Operation: 44-7=37 Current State: 62:[25, 37], Operations: ['75/3=25', '44-7=37'] Exploring Operation: 25+37=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 14, 3, 75, 49 ]
60
[ "49-14=35", "75/3=25", "35+25=60" ]
Current State: 60:[14, 3, 75, 49], Operations: [] Exploring Operation: 49-14=35, Resulting Numbers: [3, 75, 35] Generated Node #2: [3, 75, 35] from Operation: 49-14=35 Current State: 60:[3, 75, 35], Operations: ['49-14=35'] Exploring Operation: 75/3=25, Resulting Numbers: [35, 25] Generated Node #3: [35, 25] from Operation: 75/3=25 Current State: 60:[35, 25], Operations: ['49-14=35', '75/3=25'] Exploring Operation: 35+25=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 77, 84, 60, 76 ]
23
[ "84-77=7", "76-60=16", "7+16=23" ]
Current State: 23:[77, 84, 60, 76], Operations: [] Exploring Operation: 84-77=7, Resulting Numbers: [60, 76, 7] Generated Node #2: [60, 76, 7] from Operation: 84-77=7 Current State: 23:[60, 76, 7], Operations: ['84-77=7'] Exploring Operation: 76-60=16, Resulting Numbers: [7, 16] Generated Node #3: [7, 16] from Operation: 76-60=16 Current State: 23:[7, 16], Operations: ['84-77=7', '76-60=16'] Exploring Operation: 7+16=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 47, 45, 64, 72 ]
84
[ "47+45=92", "72-64=8", "92-8=84" ]
Current State: 84:[47, 45, 64, 72], Operations: [] Exploring Operation: 47+45=92, Resulting Numbers: [64, 72, 92] Generated Node #2: [64, 72, 92] from Operation: 47+45=92 Current State: 84:[64, 72, 92], Operations: ['47+45=92'] Exploring Operation: 72-64=8, Resulting Numbers: [92, 8] Generated Node #3: [92, 8] from Operation: 72-64=8 Current State: 84:[92, 8], Operations: ['47+45=92', '72-64=8'] Exploring Operation: 92-8=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 16, 11, 56, 44 ]
73
[ "16+11=27", "56+44=100", "100-27=73" ]
Current State: 73:[16, 11, 56, 44], Operations: [] Exploring Operation: 16+11=27, Resulting Numbers: [56, 44, 27] Generated Node #2: [56, 44, 27] from Operation: 16+11=27 Current State: 73:[56, 44, 27], Operations: ['16+11=27'] Exploring Operation: 56+44=100, Resulting Numbers: [27, 100] Generated Node #3: [27, 100] from Operation: 56+44=100 Current State: 73:[27, 100], Operations: ['16+11=27', '56+44=100'] Exploring Operation: 100-27=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 11, 77, 98, 34 ]
65
[ "98+34=132", "132/11=12", "77-12=65" ]
Current State: 65:[11, 77, 98, 34], Operations: [] Exploring Operation: 98+34=132, Resulting Numbers: [11, 77, 132] Generated Node #2: [11, 77, 132] from Operation: 98+34=132 Current State: 65:[11, 77, 132], Operations: ['98+34=132'] Exploring Operation: 132/11=12, Resulting Numbers: [77, 12] Generated Node #3: [77, 12] from Operation: 132/11=12 Current State: 65:[77, 12], Operations: ['98+34=132', '132/11=12'] Exploring Operation: 77-12=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 10, 8, 30, 44 ]
20
[ "30/10=3", "8*3=24", "44-24=20" ]
Current State: 20:[10, 8, 30, 44], Operations: [] Exploring Operation: 30/10=3, Resulting Numbers: [8, 44, 3] Generated Node #2: [8, 44, 3] from Operation: 30/10=3 Current State: 20:[8, 44, 3], Operations: ['30/10=3'] Exploring Operation: 8*3=24, Resulting Numbers: [44, 24] Generated Node #3: [44, 24] from Operation: 8*3=24 Current State: 20:[44, 24], Operations: ['30/10=3', '8*3=24'] Exploring Operation: 44-24=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 87, 51, 45, 48 ]
22
[ "48-45=3", "87/3=29", "51-29=22" ]
Current State: 22:[87, 51, 45, 48], Operations: [] Exploring Operation: 48-45=3, Resulting Numbers: [87, 51, 3] Generated Node #2: [87, 51, 3] from Operation: 48-45=3 Current State: 22:[87, 51, 3], Operations: ['48-45=3'] Exploring Operation: 87/3=29, Resulting Numbers: [51, 29] Generated Node #3: [51, 29] from Operation: 87/3=29 Current State: 22:[51, 29], Operations: ['48-45=3', '87/3=29'] Exploring Operation: 51-29=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 67, 13, 49, 39 ]
63
[ "49-39=10", "13*10=130", "130-67=63" ]
Current State: 63:[67, 13, 49, 39], Operations: [] Exploring Operation: 49-39=10, Resulting Numbers: [67, 13, 10] Generated Node #2: [67, 13, 10] from Operation: 49-39=10 Current State: 63:[67, 13, 10], Operations: ['49-39=10'] Exploring Operation: 13*10=130, Resulting Numbers: [67, 130] Generated Node #3: [67, 130] from Operation: 13*10=130 Current State: 63:[67, 130], Operations: ['49-39=10', '13*10=130'] Exploring Operation: 130-67=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 69, 46, 14, 62 ]
52
[ "69-62=7", "14*7=98", "98-46=52" ]
Current State: 52:[69, 46, 14, 62], Operations: [] Exploring Operation: 69-62=7, Resulting Numbers: [46, 14, 7] Generated Node #2: [46, 14, 7] from Operation: 69-62=7 Current State: 52:[46, 14, 7], Operations: ['69-62=7'] Exploring Operation: 14*7=98, Resulting Numbers: [46, 98] Generated Node #3: [46, 98] from Operation: 14*7=98 Current State: 52:[46, 98], Operations: ['69-62=7', '14*7=98'] Exploring Operation: 98-46=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 3, 95, 52, 24 ]
29
[ "3*24=72", "95-52=43", "72-43=29" ]
Current State: 29:[3, 95, 52, 24], Operations: [] Exploring Operation: 3*24=72, Resulting Numbers: [95, 52, 72] Generated Node #2: [95, 52, 72] from Operation: 3*24=72 Current State: 29:[95, 52, 72], Operations: ['3*24=72'] Exploring Operation: 95-52=43, Resulting Numbers: [72, 43] Generated Node #3: [72, 43] from Operation: 95-52=43 Current State: 29:[72, 43], Operations: ['3*24=72', '95-52=43'] Exploring Operation: 72-43=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 14, 17, 61, 96 ]
38
[ "17-14=3", "96-61=35", "3+35=38" ]
Current State: 38:[14, 17, 61, 96], Operations: [] Exploring Operation: 17-14=3, Resulting Numbers: [61, 96, 3] Generated Node #2: [61, 96, 3] from Operation: 17-14=3 Current State: 38:[61, 96, 3], Operations: ['17-14=3'] Exploring Operation: 96-61=35, Resulting Numbers: [3, 35] Generated Node #3: [3, 35] from Operation: 96-61=35 Current State: 38:[3, 35], Operations: ['17-14=3', '96-61=35'] Exploring Operation: 3+35=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 41, 3, 66, 64 ]
41
[ "66-3=63", "64-63=1", "41*1=41" ]
Current State: 41:[41, 3, 66, 64], Operations: [] Exploring Operation: 66-3=63, Resulting Numbers: [41, 64, 63] Generated Node #2: [41, 64, 63] from Operation: 66-3=63 Current State: 41:[41, 64, 63], Operations: ['66-3=63'] Exploring Operation: 64-63=1, Resulting Numbers: [41, 1] Generated Node #3: [41, 1] from Operation: 64-63=1 Current State: 41:[41, 1], Operations: ['66-3=63', '64-63=1'] Exploring Operation: 41*1=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 30, 22, 80, 10 ]
82
[ "30-22=8", "80+10=90", "90-8=82" ]
Current State: 82:[30, 22, 80, 10], Operations: [] Exploring Operation: 30-22=8, Resulting Numbers: [80, 10, 8] Generated Node #2: [80, 10, 8] from Operation: 30-22=8 Current State: 82:[80, 10, 8], Operations: ['30-22=8'] Exploring Operation: 80+10=90, Resulting Numbers: [8, 90] Generated Node #3: [8, 90] from Operation: 80+10=90 Current State: 82:[8, 90], Operations: ['30-22=8', '80+10=90'] Exploring Operation: 90-8=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 6, 94, 74, 62 ]
58
[ "94-74=20", "6*20=120", "120-62=58" ]
Current State: 58:[6, 94, 74, 62], Operations: [] Exploring Operation: 94-74=20, Resulting Numbers: [6, 62, 20] Generated Node #2: [6, 62, 20] from Operation: 94-74=20 Current State: 58:[6, 62, 20], Operations: ['94-74=20'] Exploring Operation: 6*20=120, Resulting Numbers: [62, 120] Generated Node #3: [62, 120] from Operation: 6*20=120 Current State: 58:[62, 120], Operations: ['94-74=20', '6*20=120'] Exploring Operation: 120-62=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 80, 34, 63, 84 ]
86
[ "80-63=17", "34/17=2", "84+2=86" ]
Current State: 86:[80, 34, 63, 84], Operations: [] Exploring Operation: 80-63=17, Resulting Numbers: [34, 84, 17] Generated Node #2: [34, 84, 17] from Operation: 80-63=17 Current State: 86:[34, 84, 17], Operations: ['80-63=17'] Exploring Operation: 34/17=2, Resulting Numbers: [84, 2] Generated Node #3: [84, 2] from Operation: 34/17=2 Current State: 86:[84, 2], Operations: ['80-63=17', '34/17=2'] Exploring Operation: 84+2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 62, 2, 9, 37 ]
68
[ "62+9=71", "71-37=34", "2*34=68" ]
Current State: 68:[62, 2, 9, 37], Operations: [] Exploring Operation: 62+9=71, Resulting Numbers: [2, 37, 71] Generated Node #2: [2, 37, 71] from Operation: 62+9=71 Current State: 68:[2, 37, 71], Operations: ['62+9=71'] Exploring Operation: 71-37=34, Resulting Numbers: [2, 34] Generated Node #3: [2, 34] from Operation: 71-37=34 Current State: 68:[2, 34], Operations: ['62+9=71', '71-37=34'] Exploring Operation: 2*34=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 99, 38, 6, 49 ]
80
[ "99+49=148", "38*6=228", "228-148=80" ]
Current State: 80:[99, 38, 6, 49], Operations: [] Exploring Operation: 99+49=148, Resulting Numbers: [38, 6, 148] Generated Node #2: [38, 6, 148] from Operation: 99+49=148 Current State: 80:[38, 6, 148], Operations: ['99+49=148'] Exploring Operation: 38*6=228, Resulting Numbers: [148, 228] Generated Node #3: [148, 228] from Operation: 38*6=228 Current State: 80:[148, 228], Operations: ['99+49=148', '38*6=228'] Exploring Operation: 228-148=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 53, 88, 39, 62 ]
40
[ "53+88=141", "39+62=101", "141-101=40" ]
Current State: 40:[53, 88, 39, 62], Operations: [] Exploring Operation: 53+88=141, Resulting Numbers: [39, 62, 141] Generated Node #2: [39, 62, 141] from Operation: 53+88=141 Current State: 40:[39, 62, 141], Operations: ['53+88=141'] Exploring Operation: 39+62=101, Resulting Numbers: [141, 101] Generated Node #3: [141, 101] from Operation: 39+62=101 Current State: 40:[141, 101], Operations: ['53+88=141', '39+62=101'] Exploring Operation: 141-101=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 30, 22, 16, 35 ]
67
[ "30*35=1050", "22+1050=1072", "1072/16=67" ]
Current State: 67:[30, 22, 16, 35], Operations: [] Exploring Operation: 30*35=1050, Resulting Numbers: [22, 16, 1050] Generated Node #2: [22, 16, 1050] from Operation: 30*35=1050 Current State: 67:[22, 16, 1050], Operations: ['30*35=1050'] Exploring Operation: 22+1050=1072, Resulting Numbers: [16, 1072] Generated Node #3: [16, 1072] from Operation: 22+1050=1072 Current State: 67:[16, 1072], Operations: ['30*35=1050', '22+1050=1072'] Exploring Operation: 1072/16=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 9, 12, 21, 67 ]
49
[ "12-9=3", "67-21=46", "3+46=49" ]
Current State: 49:[9, 12, 21, 67], Operations: [] Exploring Operation: 12-9=3, Resulting Numbers: [21, 67, 3] Generated Node #2: [21, 67, 3] from Operation: 12-9=3 Current State: 49:[21, 67, 3], Operations: ['12-9=3'] Exploring Operation: 67-21=46, Resulting Numbers: [3, 46] Generated Node #3: [3, 46] from Operation: 67-21=46 Current State: 49:[3, 46], Operations: ['12-9=3', '67-21=46'] Exploring Operation: 3+46=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 9, 52, 99, 15 ]
48
[ "99/9=11", "52-15=37", "11+37=48" ]
Current State: 48:[9, 52, 99, 15], Operations: [] Exploring Operation: 99/9=11, Resulting Numbers: [52, 15, 11] Generated Node #2: [52, 15, 11] from Operation: 99/9=11 Current State: 48:[52, 15, 11], Operations: ['99/9=11'] Exploring Operation: 52-15=37, Resulting Numbers: [11, 37] Generated Node #3: [11, 37] from Operation: 52-15=37 Current State: 48:[11, 37], Operations: ['99/9=11', '52-15=37'] Exploring Operation: 11+37=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 15, 37, 99, 67 ]
97
[ "67-37=30", "30/15=2", "99-2=97" ]
Current State: 97:[15, 37, 99, 67], Operations: [] Exploring Operation: 67-37=30, Resulting Numbers: [15, 99, 30] Generated Node #2: [15, 99, 30] from Operation: 67-37=30 Current State: 97:[15, 99, 30], Operations: ['67-37=30'] Exploring Operation: 30/15=2, Resulting Numbers: [99, 2] Generated Node #3: [99, 2] from Operation: 30/15=2 Current State: 97:[99, 2], Operations: ['67-37=30', '30/15=2'] Exploring Operation: 99-2=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 28, 1, 7, 38 ]
60
[ "28+1=29", "38-7=31", "29+31=60" ]
Current State: 60:[28, 1, 7, 38], Operations: [] Exploring Operation: 28+1=29, Resulting Numbers: [7, 38, 29] Generated Node #2: [7, 38, 29] from Operation: 28+1=29 Current State: 60:[7, 38, 29], Operations: ['28+1=29'] Exploring Operation: 38-7=31, Resulting Numbers: [29, 31] Generated Node #3: [29, 31] from Operation: 38-7=31 Current State: 60:[29, 31], Operations: ['28+1=29', '38-7=31'] Exploring Operation: 29+31=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 20, 69, 8, 54 ]
40
[ "69-20=49", "54-49=5", "8*5=40" ]
Current State: 40:[20, 69, 8, 54], Operations: [] Exploring Operation: 69-20=49, Resulting Numbers: [8, 54, 49] Generated Node #2: [8, 54, 49] from Operation: 69-20=49 Current State: 40:[8, 54, 49], Operations: ['69-20=49'] Exploring Operation: 54-49=5, Resulting Numbers: [8, 5] Generated Node #3: [8, 5] from Operation: 54-49=5 Current State: 40:[8, 5], Operations: ['69-20=49', '54-49=5'] Exploring Operation: 8*5=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 96, 99, 93, 84 ]
51
[ "96-93=3", "99/3=33", "84-33=51" ]
Current State: 51:[96, 99, 93, 84], Operations: [] Exploring Operation: 96-93=3, Resulting Numbers: [99, 84, 3] Generated Node #2: [99, 84, 3] from Operation: 96-93=3 Current State: 51:[99, 84, 3], Operations: ['96-93=3'] Exploring Operation: 99/3=33, Resulting Numbers: [84, 33] Generated Node #3: [84, 33] from Operation: 99/3=33 Current State: 51:[84, 33], Operations: ['96-93=3', '99/3=33'] Exploring Operation: 84-33=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 35, 61, 59, 1 ]
33
[ "61-35=26", "59*1=59", "59-26=33" ]
Current State: 33:[35, 61, 59, 1], Operations: [] Exploring Operation: 61-35=26, Resulting Numbers: [59, 1, 26] Generated Node #2: [59, 1, 26] from Operation: 61-35=26 Current State: 33:[59, 1, 26], Operations: ['61-35=26'] Exploring Operation: 59*1=59, Resulting Numbers: [26, 59] Generated Node #3: [26, 59] from Operation: 59*1=59 Current State: 33:[26, 59], Operations: ['61-35=26', '59*1=59'] Exploring Operation: 59-26=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 9, 98, 90, 7 ]
18
[ "98/7=14", "14-9=5", "90/5=18" ]
Current State: 18:[9, 98, 90, 7], Operations: [] Exploring Operation: 98/7=14, Resulting Numbers: [9, 90, 14] Generated Node #2: [9, 90, 14] from Operation: 98/7=14 Current State: 18:[9, 90, 14], Operations: ['98/7=14'] Exploring Operation: 14-9=5, Resulting Numbers: [90, 5] Generated Node #3: [90, 5] from Operation: 14-9=5 Current State: 18:[90, 5], Operations: ['98/7=14', '14-9=5'] Exploring Operation: 90/5=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 66, 14, 35, 14 ]
44
[ "66*14=924", "35-14=21", "924/21=44" ]
Current State: 44:[66, 14, 35, 14], Operations: [] Exploring Operation: 66*14=924, Resulting Numbers: [35, 924] Generated Node #2: [35, 924] from Operation: 66*14=924 Current State: 44:[35, 924], Operations: ['66*14=924'] Exploring Operation: 35-14=21, Resulting Numbers: [924, 21] Generated Node #3: [924, 21] from Operation: 35-14=21 Current State: 44:[924, 21], Operations: ['66*14=924', '35-14=21'] Exploring Operation: 924/21=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 88, 77, 16, 72 ]
47
[ "77*72=5544", "5544/88=63", "63-16=47" ]
Current State: 47:[88, 77, 16, 72], Operations: [] Exploring Operation: 77*72=5544, Resulting Numbers: [88, 16, 5544] Generated Node #2: [88, 16, 5544] from Operation: 77*72=5544 Current State: 47:[88, 16, 5544], Operations: ['77*72=5544'] Exploring Operation: 5544/88=63, Resulting Numbers: [16, 63] Generated Node #3: [16, 63] from Operation: 5544/88=63 Current State: 47:[16, 63], Operations: ['77*72=5544', '5544/88=63'] Exploring Operation: 63-16=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 28, 2, 65, 22 ]
55
[ "28-2=26", "65*22=1430", "1430/26=55" ]
Current State: 55:[28, 2, 65, 22], Operations: [] Exploring Operation: 28-2=26, Resulting Numbers: [65, 22, 26] Generated Node #2: [65, 22, 26] from Operation: 28-2=26 Current State: 55:[65, 22, 26], Operations: ['28-2=26'] Exploring Operation: 65*22=1430, Resulting Numbers: [26, 1430] Generated Node #3: [26, 1430] from Operation: 65*22=1430 Current State: 55:[26, 1430], Operations: ['28-2=26', '65*22=1430'] Exploring Operation: 1430/26=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 16, 83, 55, 8 ]
69
[ "16/8=2", "83+55=138", "138/2=69" ]
Current State: 69:[16, 83, 55, 8], Operations: [] Exploring Operation: 16/8=2, Resulting Numbers: [83, 55, 2] Generated Node #2: [83, 55, 2] from Operation: 16/8=2 Current State: 69:[83, 55, 2], Operations: ['16/8=2'] Exploring Operation: 83+55=138, Resulting Numbers: [2, 138] Generated Node #3: [2, 138] from Operation: 83+55=138 Current State: 69:[2, 138], Operations: ['16/8=2', '83+55=138'] Exploring Operation: 138/2=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 32, 28, 57, 67 ]
50
[ "32+28=60", "67-57=10", "60-10=50" ]
Current State: 50:[32, 28, 57, 67], Operations: [] Exploring Operation: 32+28=60, Resulting Numbers: [57, 67, 60] Generated Node #2: [57, 67, 60] from Operation: 32+28=60 Current State: 50:[57, 67, 60], Operations: ['32+28=60'] Exploring Operation: 67-57=10, Resulting Numbers: [60, 10] Generated Node #3: [60, 10] from Operation: 67-57=10 Current State: 50:[60, 10], Operations: ['32+28=60', '67-57=10'] Exploring Operation: 60-10=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 52, 5, 17, 85 ]
18
[ "52-17=35", "85/5=17", "35-17=18" ]
Current State: 18:[52, 5, 17, 85], Operations: [] Exploring Operation: 52-17=35, Resulting Numbers: [5, 85, 35] Generated Node #2: [5, 85, 35] from Operation: 52-17=35 Current State: 18:[5, 85, 35], Operations: ['52-17=35'] Exploring Operation: 85/5=17, Resulting Numbers: [35, 17] Generated Node #3: [35, 17] from Operation: 85/5=17 Current State: 18:[35, 17], Operations: ['52-17=35', '85/5=17'] Exploring Operation: 35-17=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 61, 8, 17, 59 ]
13
[ "61-59=2", "8/2=4", "17-4=13" ]
Current State: 13:[61, 8, 17, 59], Operations: [] Exploring Operation: 61-59=2, Resulting Numbers: [8, 17, 2] Generated Node #2: [8, 17, 2] from Operation: 61-59=2 Current State: 13:[8, 17, 2], Operations: ['61-59=2'] Exploring Operation: 8/2=4, Resulting Numbers: [17, 4] Generated Node #3: [17, 4] from Operation: 8/2=4 Current State: 13:[17, 4], Operations: ['61-59=2', '8/2=4'] Exploring Operation: 17-4=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 69, 7, 85, 80 ]
89
[ "69+7=76", "85+80=165", "165-76=89" ]
Current State: 89:[69, 7, 85, 80], Operations: [] Exploring Operation: 69+7=76, Resulting Numbers: [85, 80, 76] Generated Node #2: [85, 80, 76] from Operation: 69+7=76 Current State: 89:[85, 80, 76], Operations: ['69+7=76'] Exploring Operation: 85+80=165, Resulting Numbers: [76, 165] Generated Node #3: [76, 165] from Operation: 85+80=165 Current State: 89:[76, 165], Operations: ['69+7=76', '85+80=165'] Exploring Operation: 165-76=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 83, 67, 2, 38 ]
44
[ "83-67=16", "38-16=22", "2*22=44" ]
Current State: 44:[83, 67, 2, 38], Operations: [] Exploring Operation: 83-67=16, Resulting Numbers: [2, 38, 16] Generated Node #2: [2, 38, 16] from Operation: 83-67=16 Current State: 44:[2, 38, 16], Operations: ['83-67=16'] Exploring Operation: 38-16=22, Resulting Numbers: [2, 22] Generated Node #3: [2, 22] from Operation: 38-16=22 Current State: 44:[2, 22], Operations: ['83-67=16', '38-16=22'] Exploring Operation: 2*22=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 98, 83, 12, 90 ]
87
[ "98-83=15", "12+90=102", "102-15=87" ]
Current State: 87:[98, 83, 12, 90], Operations: [] Exploring Operation: 98-83=15, Resulting Numbers: [12, 90, 15] Generated Node #2: [12, 90, 15] from Operation: 98-83=15 Current State: 87:[12, 90, 15], Operations: ['98-83=15'] Exploring Operation: 12+90=102, Resulting Numbers: [15, 102] Generated Node #3: [15, 102] from Operation: 12+90=102 Current State: 87:[15, 102], Operations: ['98-83=15', '12+90=102'] Exploring Operation: 102-15=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 81, 54, 1, 34 ]
52
[ "81*34=2754", "2754/54=51", "1+51=52" ]
Current State: 52:[81, 54, 1, 34], Operations: [] Exploring Operation: 81*34=2754, Resulting Numbers: [54, 1, 2754] Generated Node #2: [54, 1, 2754] from Operation: 81*34=2754 Current State: 52:[54, 1, 2754], Operations: ['81*34=2754'] Exploring Operation: 2754/54=51, Resulting Numbers: [1, 51] Generated Node #3: [1, 51] from Operation: 2754/54=51 Current State: 52:[1, 51], Operations: ['81*34=2754', '2754/54=51'] Exploring Operation: 1+51=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 11, 96, 65, 85 ]
56
[ "96-85=11", "11*11=121", "121-65=56" ]
Current State: 56:[11, 96, 65, 85], Operations: [] Exploring Operation: 96-85=11, Resulting Numbers: [11, 65, 11] Generated Node #2: [11, 65, 11] from Operation: 96-85=11 Current State: 56:[11, 65, 11], Operations: ['96-85=11'] Exploring Operation: 11*11=121, Resulting Numbers: [65, 121] Generated Node #3: [65, 121] from Operation: 11*11=121 Current State: 56:[65, 121], Operations: ['96-85=11', '11*11=121'] Exploring Operation: 121-65=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 58, 3, 83, 58 ]
17
[ "83-58=25", "3*25=75", "75-58=17" ]
Current State: 17:[58, 3, 83, 58], Operations: [] Exploring Operation: 83-58=25, Resulting Numbers: [3, 25] Generated Node #2: [3, 25] from Operation: 83-58=25 Current State: 17:[3, 25], Operations: ['83-58=25'] Exploring Operation: 3*25=75, Resulting Numbers: [75] 75,17 equal: Goal Reached Exploring Operation: 75-58=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 6, 5, 76, 32 ]
97
[ "6+5=11", "76+32=108", "108-11=97" ]
Current State: 97:[6, 5, 76, 32], Operations: [] Exploring Operation: 6+5=11, Resulting Numbers: [76, 32, 11] Generated Node #2: [76, 32, 11] from Operation: 6+5=11 Current State: 97:[76, 32, 11], Operations: ['6+5=11'] Exploring Operation: 76+32=108, Resulting Numbers: [11, 108] Generated Node #3: [11, 108] from Operation: 76+32=108 Current State: 97:[11, 108], Operations: ['6+5=11', '76+32=108'] Exploring Operation: 108-11=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 86, 20, 84, 45 ]
35
[ "86-84=2", "20/2=10", "45-10=35" ]
Current State: 35:[86, 20, 84, 45], Operations: [] Exploring Operation: 86-84=2, Resulting Numbers: [20, 45, 2] Generated Node #2: [20, 45, 2] from Operation: 86-84=2 Current State: 35:[20, 45, 2], Operations: ['86-84=2'] Exploring Operation: 20/2=10, Resulting Numbers: [45, 10] Generated Node #3: [45, 10] from Operation: 20/2=10 Current State: 35:[45, 10], Operations: ['86-84=2', '20/2=10'] Exploring Operation: 45-10=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 71, 63, 58, 91 ]
25
[ "71-63=8", "91-58=33", "33-8=25" ]
Current State: 25:[71, 63, 58, 91], Operations: [] Exploring Operation: 71-63=8, Resulting Numbers: [58, 91, 8] Generated Node #2: [58, 91, 8] from Operation: 71-63=8 Current State: 25:[58, 91, 8], Operations: ['71-63=8'] Exploring Operation: 91-58=33, Resulting Numbers: [8, 33] Generated Node #3: [8, 33] from Operation: 91-58=33 Current State: 25:[8, 33], Operations: ['71-63=8', '91-58=33'] Exploring Operation: 33-8=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 81, 23, 93, 44 ]
79
[ "81-23=58", "93+44=137", "137-58=79" ]
Current State: 79:[81, 23, 93, 44], Operations: [] Exploring Operation: 81-23=58, Resulting Numbers: [93, 44, 58] Generated Node #2: [93, 44, 58] from Operation: 81-23=58 Current State: 79:[93, 44, 58], Operations: ['81-23=58'] Exploring Operation: 93+44=137, Resulting Numbers: [58, 137] Generated Node #3: [58, 137] from Operation: 93+44=137 Current State: 79:[58, 137], Operations: ['81-23=58', '93+44=137'] Exploring Operation: 137-58=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 31, 20, 24, 61 ]
36
[ "61-31=30", "24*30=720", "720/20=36" ]
Current State: 36:[31, 20, 24, 61], Operations: [] Exploring Operation: 61-31=30, Resulting Numbers: [20, 24, 30] Generated Node #2: [20, 24, 30] from Operation: 61-31=30 Current State: 36:[20, 24, 30], Operations: ['61-31=30'] Exploring Operation: 24*30=720, Resulting Numbers: [20, 720] Generated Node #3: [20, 720] from Operation: 24*30=720 Current State: 36:[20, 720], Operations: ['61-31=30', '24*30=720'] Exploring Operation: 720/20=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 14, 81, 24, 25 ]
46
[ "14+81=95", "24+25=49", "95-49=46" ]
Current State: 46:[14, 81, 24, 25], Operations: [] Exploring Operation: 14+81=95, Resulting Numbers: [24, 25, 95] Generated Node #2: [24, 25, 95] from Operation: 14+81=95 Current State: 46:[24, 25, 95], Operations: ['14+81=95'] Exploring Operation: 24+25=49, Resulting Numbers: [95, 49] Generated Node #3: [95, 49] from Operation: 24+25=49 Current State: 46:[95, 49], Operations: ['14+81=95', '24+25=49'] Exploring Operation: 95-49=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 94, 1, 55, 57 ]
97
[ "94+1=95", "57-55=2", "95+2=97" ]
Current State: 97:[94, 1, 55, 57], Operations: [] Exploring Operation: 94+1=95, Resulting Numbers: [55, 57, 95] Generated Node #2: [55, 57, 95] from Operation: 94+1=95 Current State: 97:[55, 57, 95], Operations: ['94+1=95'] Exploring Operation: 57-55=2, Resulting Numbers: [95, 2] Generated Node #3: [95, 2] from Operation: 57-55=2 Current State: 97:[95, 2], Operations: ['94+1=95', '57-55=2'] Exploring Operation: 95+2=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 72, 61, 42, 23 ]
70
[ "61+23=84", "84/42=2", "72-2=70" ]
Current State: 70:[72, 61, 42, 23], Operations: [] Exploring Operation: 61+23=84, Resulting Numbers: [72, 42, 84] Generated Node #2: [72, 42, 84] from Operation: 61+23=84 Current State: 70:[72, 42, 84], Operations: ['61+23=84'] Exploring Operation: 84/42=2, Resulting Numbers: [72, 2] Generated Node #3: [72, 2] from Operation: 84/42=2 Current State: 70:[72, 2], Operations: ['61+23=84', '84/42=2'] Exploring Operation: 72-2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 12, 78, 40, 64 ]
90
[ "78-12=66", "64-40=24", "66+24=90" ]
Current State: 90:[12, 78, 40, 64], Operations: [] Exploring Operation: 78-12=66, Resulting Numbers: [40, 64, 66] Generated Node #2: [40, 64, 66] from Operation: 78-12=66 Current State: 90:[40, 64, 66], Operations: ['78-12=66'] Exploring Operation: 64-40=24, Resulting Numbers: [66, 24] Generated Node #3: [66, 24] from Operation: 64-40=24 Current State: 90:[66, 24], Operations: ['78-12=66', '64-40=24'] Exploring Operation: 66+24=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 56, 52, 40, 45 ]
11
[ "56*45=2520", "2520/40=63", "63-52=11" ]
Current State: 11:[56, 52, 40, 45], Operations: [] Exploring Operation: 56*45=2520, Resulting Numbers: [52, 40, 2520] Generated Node #2: [52, 40, 2520] from Operation: 56*45=2520 Current State: 11:[52, 40, 2520], Operations: ['56*45=2520'] Exploring Operation: 2520/40=63, Resulting Numbers: [52, 63] Generated Node #3: [52, 63] from Operation: 2520/40=63 Current State: 11:[52, 63], Operations: ['56*45=2520', '2520/40=63'] Exploring Operation: 63-52=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 31, 19, 57, 19 ]
34
[ "31*19=589", "57+589=646", "646/19=34" ]
Current State: 34:[31, 19, 57, 19], Operations: [] Exploring Operation: 31*19=589, Resulting Numbers: [57, 589] Generated Node #2: [57, 589] from Operation: 31*19=589 Current State: 34:[57, 589], Operations: ['31*19=589'] Exploring Operation: 57+589=646, Resulting Numbers: [646] 646,34 equal: Goal Reached Exploring Operation: 646/19=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 19, 66, 75, 65 ]
93
[ "66-19=47", "75+65=140", "140-47=93" ]
Current State: 93:[19, 66, 75, 65], Operations: [] Exploring Operation: 66-19=47, Resulting Numbers: [75, 65, 47] Generated Node #2: [75, 65, 47] from Operation: 66-19=47 Current State: 93:[75, 65, 47], Operations: ['66-19=47'] Exploring Operation: 75+65=140, Resulting Numbers: [47, 140] Generated Node #3: [47, 140] from Operation: 75+65=140 Current State: 93:[47, 140], Operations: ['66-19=47', '75+65=140'] Exploring Operation: 140-47=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 15, 56, 12, 54 ]
20
[ "15*56=840", "54-12=42", "840/42=20" ]
Current State: 20:[15, 56, 12, 54], Operations: [] Exploring Operation: 15*56=840, Resulting Numbers: [12, 54, 840] Generated Node #2: [12, 54, 840] from Operation: 15*56=840 Current State: 20:[12, 54, 840], Operations: ['15*56=840'] Exploring Operation: 54-12=42, Resulting Numbers: [840, 42] Generated Node #3: [840, 42] from Operation: 54-12=42 Current State: 20:[840, 42], Operations: ['15*56=840', '54-12=42'] Exploring Operation: 840/42=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 69, 9, 51, 91 ]
64
[ "69+9=78", "51+91=142", "142-78=64" ]
Current State: 64:[69, 9, 51, 91], Operations: [] Exploring Operation: 69+9=78, Resulting Numbers: [51, 91, 78] Generated Node #2: [51, 91, 78] from Operation: 69+9=78 Current State: 64:[51, 91, 78], Operations: ['69+9=78'] Exploring Operation: 51+91=142, Resulting Numbers: [78, 142] Generated Node #3: [78, 142] from Operation: 51+91=142 Current State: 64:[78, 142], Operations: ['69+9=78', '51+91=142'] Exploring Operation: 142-78=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 58, 90, 24, 45 ]
80
[ "58+24=82", "90/45=2", "82-2=80" ]
Current State: 80:[58, 90, 24, 45], Operations: [] Exploring Operation: 58+24=82, Resulting Numbers: [90, 45, 82] Generated Node #2: [90, 45, 82] from Operation: 58+24=82 Current State: 80:[90, 45, 82], Operations: ['58+24=82'] Exploring Operation: 90/45=2, Resulting Numbers: [82, 2] Generated Node #3: [82, 2] from Operation: 90/45=2 Current State: 80:[82, 2], Operations: ['58+24=82', '90/45=2'] Exploring Operation: 82-2=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 6, 40, 37, 73 ]
70
[ "40-6=34", "73-37=36", "34+36=70" ]
Current State: 70:[6, 40, 37, 73], Operations: [] Exploring Operation: 40-6=34, Resulting Numbers: [37, 73, 34] Generated Node #2: [37, 73, 34] from Operation: 40-6=34 Current State: 70:[37, 73, 34], Operations: ['40-6=34'] Exploring Operation: 73-37=36, Resulting Numbers: [34, 36] Generated Node #3: [34, 36] from Operation: 73-37=36 Current State: 70:[34, 36], Operations: ['40-6=34', '73-37=36'] Exploring Operation: 34+36=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 38, 72, 2, 42 ]
98
[ "72-42=30", "2*30=60", "38+60=98" ]
Current State: 98:[38, 72, 2, 42], Operations: [] Exploring Operation: 72-42=30, Resulting Numbers: [38, 2, 30] Generated Node #2: [38, 2, 30] from Operation: 72-42=30 Current State: 98:[38, 2, 30], Operations: ['72-42=30'] Exploring Operation: 2*30=60, Resulting Numbers: [38, 60] Generated Node #3: [38, 60] from Operation: 2*30=60 Current State: 98:[38, 60], Operations: ['72-42=30', '2*30=60'] Exploring Operation: 38+60=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 2, 24, 5, 93 ]
100
[ "24/2=12", "93-5=88", "12+88=100" ]
Current State: 100:[2, 24, 5, 93], Operations: [] Exploring Operation: 24/2=12, Resulting Numbers: [5, 93, 12] Generated Node #2: [5, 93, 12] from Operation: 24/2=12 Current State: 100:[5, 93, 12], Operations: ['24/2=12'] Exploring Operation: 93-5=88, Resulting Numbers: [12, 88] Generated Node #3: [12, 88] from Operation: 93-5=88 Current State: 100:[12, 88], Operations: ['24/2=12', '93-5=88'] Exploring Operation: 12+88=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 63, 5, 21, 64 ]
23
[ "63/21=3", "5+64=69", "69/3=23" ]
Current State: 23:[63, 5, 21, 64], Operations: [] Exploring Operation: 63/21=3, Resulting Numbers: [5, 64, 3] Generated Node #2: [5, 64, 3] from Operation: 63/21=3 Current State: 23:[5, 64, 3], Operations: ['63/21=3'] Exploring Operation: 5+64=69, Resulting Numbers: [3, 69] Generated Node #3: [3, 69] from Operation: 5+64=69 Current State: 23:[3, 69], Operations: ['63/21=3', '5+64=69'] Exploring Operation: 69/3=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 1, 64, 39, 50 ]
54
[ "1+64=65", "50-39=11", "65-11=54" ]
Current State: 54:[1, 64, 39, 50], Operations: [] Exploring Operation: 1+64=65, Resulting Numbers: [39, 50, 65] Generated Node #2: [39, 50, 65] from Operation: 1+64=65 Current State: 54:[39, 50, 65], Operations: ['1+64=65'] Exploring Operation: 50-39=11, Resulting Numbers: [65, 11] Generated Node #3: [65, 11] from Operation: 50-39=11 Current State: 54:[65, 11], Operations: ['1+64=65', '50-39=11'] Exploring Operation: 65-11=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 44, 59, 39, 41 ]
29
[ "41-39=2", "44*2=88", "88-59=29" ]
Current State: 29:[44, 59, 39, 41], Operations: [] Exploring Operation: 41-39=2, Resulting Numbers: [44, 59, 2] Generated Node #2: [44, 59, 2] from Operation: 41-39=2 Current State: 29:[44, 59, 2], Operations: ['41-39=2'] Exploring Operation: 44*2=88, Resulting Numbers: [59, 88] Generated Node #3: [59, 88] from Operation: 44*2=88 Current State: 29:[59, 88], Operations: ['41-39=2', '44*2=88'] Exploring Operation: 88-59=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 11, 7, 87, 52 ]
37
[ "11*52=572", "7*87=609", "609-572=37" ]
Current State: 37:[11, 7, 87, 52], Operations: [] Exploring Operation: 11*52=572, Resulting Numbers: [7, 87, 572] Generated Node #2: [7, 87, 572] from Operation: 11*52=572 Current State: 37:[7, 87, 572], Operations: ['11*52=572'] Exploring Operation: 7*87=609, Resulting Numbers: [572, 609] Generated Node #3: [572, 609] from Operation: 7*87=609 Current State: 37:[572, 609], Operations: ['11*52=572', '7*87=609'] Exploring Operation: 609-572=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 2, 46, 24, 72 ]
61
[ "46-24=22", "22/2=11", "72-11=61" ]
Current State: 61:[2, 46, 24, 72], Operations: [] Exploring Operation: 46-24=22, Resulting Numbers: [2, 72, 22] Generated Node #2: [2, 72, 22] from Operation: 46-24=22 Current State: 61:[2, 72, 22], Operations: ['46-24=22'] Exploring Operation: 22/2=11, Resulting Numbers: [72, 11] Generated Node #3: [72, 11] from Operation: 22/2=11 Current State: 61:[72, 11], Operations: ['46-24=22', '22/2=11'] Exploring Operation: 72-11=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 74, 32, 8, 47 ]
23
[ "74-47=27", "32/8=4", "27-4=23" ]
Current State: 23:[74, 32, 8, 47], Operations: [] Exploring Operation: 74-47=27, Resulting Numbers: [32, 8, 27] Generated Node #2: [32, 8, 27] from Operation: 74-47=27 Current State: 23:[32, 8, 27], Operations: ['74-47=27'] Exploring Operation: 32/8=4, Resulting Numbers: [27, 4] Generated Node #3: [27, 4] from Operation: 32/8=4 Current State: 23:[27, 4], Operations: ['74-47=27', '32/8=4'] Exploring Operation: 27-4=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 59, 50, 32, 35 ]
27
[ "59-50=9", "35-32=3", "9*3=27" ]
Current State: 27:[59, 50, 32, 35], Operations: [] Exploring Operation: 59-50=9, Resulting Numbers: [32, 35, 9] Generated Node #2: [32, 35, 9] from Operation: 59-50=9 Current State: 27:[32, 35, 9], Operations: ['59-50=9'] Exploring Operation: 35-32=3, Resulting Numbers: [9, 3] Generated Node #3: [9, 3] from Operation: 35-32=3 Current State: 27:[9, 3], Operations: ['59-50=9', '35-32=3'] Exploring Operation: 9*3=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4