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
[ 28, 34, 57, 98 ]
21
[ "28+34=62", "98-57=41", "62-41=21" ]
Current State: 21:[28, 34, 57, 98], Operations: [] Exploring Operation: 28+34=62, Resulting Numbers: [57, 98, 62] Generated Node #2: [57, 98, 62] from Operation: 28+34=62 Current State: 21:[57, 98, 62], Operations: ['28+34=62'] Exploring Operation: 98-57=41, Resulting Numbers: [62, 41] Generated Node #3: [62, 41] from Operation: 98-57=41 Current State: 21:[62, 41], Operations: ['28+34=62', '98-57=41'] Exploring Operation: 62-41=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 19, 62, 24, 75 ]
18
[ "19+62=81", "24+75=99", "99-81=18" ]
Current State: 18:[19, 62, 24, 75], Operations: [] Exploring Operation: 19+62=81, Resulting Numbers: [24, 75, 81] Generated Node #2: [24, 75, 81] from Operation: 19+62=81 Current State: 18:[24, 75, 81], Operations: ['19+62=81'] Exploring Operation: 24+75=99, Resulting Numbers: [81, 99] Generated Node #3: [81, 99] from Operation: 24+75=99 Current State: 18:[81, 99], Operations: ['19+62=81', '24+75=99'] Exploring Operation: 99-81=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 25, 77, 25, 32 ]
45
[ "25+77=102", "25+32=57", "102-57=45" ]
Current State: 45:[25, 77, 25, 32], Operations: [] Exploring Operation: 25+77=102, Resulting Numbers: [32, 102] Generated Node #2: [32, 102] from Operation: 25+77=102 Current State: 45:[32, 102], Operations: ['25+77=102'] Exploring Operation: 25+32=57, Resulting Numbers: [102, 57] Generated Node #3: [102, 57] from Operation: 25+32=57 Current State: 45:[102, 57], Operations: ['25+77=102', '25+32=57'] Exploring Operation: 102-57=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 9, 79, 72, 23 ]
39
[ "9+79=88", "72-23=49", "88-49=39" ]
Current State: 39:[9, 79, 72, 23], Operations: [] Exploring Operation: 9+79=88, Resulting Numbers: [72, 23, 88] Generated Node #2: [72, 23, 88] from Operation: 9+79=88 Current State: 39:[72, 23, 88], Operations: ['9+79=88'] Exploring Operation: 72-23=49, Resulting Numbers: [88, 49] Generated Node #3: [88, 49] from Operation: 72-23=49 Current State: 39:[88, 49], Operations: ['9+79=88', '72-23=49'] Exploring Operation: 88-49=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 87, 15, 36, 73 ]
54
[ "87*36=3132", "73-15=58", "3132/58=54" ]
Current State: 54:[87, 15, 36, 73], Operations: [] Exploring Operation: 87*36=3132, Resulting Numbers: [15, 73, 3132] Generated Node #2: [15, 73, 3132] from Operation: 87*36=3132 Current State: 54:[15, 73, 3132], Operations: ['87*36=3132'] Exploring Operation: 73-15=58, Resulting Numbers: [3132, 58] Generated Node #3: [3132, 58] from Operation: 73-15=58 Current State: 54:[3132, 58], Operations: ['87*36=3132', '73-15=58'] Exploring Operation: 3132/58=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 25, 7, 22, 10 ]
97
[ "10-7=3", "25*3=75", "22+75=97" ]
Current State: 97:[25, 7, 22, 10], Operations: [] Exploring Operation: 10-7=3, Resulting Numbers: [25, 22, 3] Generated Node #2: [25, 22, 3] from Operation: 10-7=3 Current State: 97:[25, 22, 3], Operations: ['10-7=3'] Exploring Operation: 25*3=75, Resulting Numbers: [22, 75] Generated Node #3: [22, 75] from Operation: 25*3=75 Current State: 97:[22, 75], Operations: ['10-7=3', '25*3=75'] Exploring Operation: 22+75=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 1, 20, 54, 56 ]
21
[ "20-1=19", "56-54=2", "19+2=21" ]
Current State: 21:[1, 20, 54, 56], Operations: [] Exploring Operation: 20-1=19, Resulting Numbers: [54, 56, 19] Generated Node #2: [54, 56, 19] from Operation: 20-1=19 Current State: 21:[54, 56, 19], Operations: ['20-1=19'] Exploring Operation: 56-54=2, Resulting Numbers: [19, 2] Generated Node #3: [19, 2] from Operation: 56-54=2 Current State: 21:[19, 2], Operations: ['20-1=19', '56-54=2'] Exploring Operation: 19+2=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 6, 65, 79, 75 ]
67
[ "6+65=71", "79-75=4", "71-4=67" ]
Current State: 67:[6, 65, 79, 75], Operations: [] Exploring Operation: 6+65=71, Resulting Numbers: [79, 75, 71] Generated Node #2: [79, 75, 71] from Operation: 6+65=71 Current State: 67:[79, 75, 71], Operations: ['6+65=71'] Exploring Operation: 79-75=4, Resulting Numbers: [71, 4] Generated Node #3: [71, 4] from Operation: 79-75=4 Current State: 67:[71, 4], Operations: ['6+65=71', '79-75=4'] Exploring Operation: 71-4=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 59, 25, 61, 71 ]
23
[ "61-59=2", "71-25=46", "46/2=23" ]
Current State: 23:[59, 25, 61, 71], Operations: [] Exploring Operation: 61-59=2, Resulting Numbers: [25, 71, 2] Generated Node #2: [25, 71, 2] from Operation: 61-59=2 Current State: 23:[25, 71, 2], Operations: ['61-59=2'] Exploring Operation: 71-25=46, Resulting Numbers: [2, 46] Generated Node #3: [2, 46] from Operation: 71-25=46 Current State: 23:[2, 46], Operations: ['61-59=2', '71-25=46'] Exploring Operation: 46/2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 1, 2, 66, 80 ]
42
[ "1+2=3", "80-66=14", "3*14=42" ]
Current State: 42:[1, 2, 66, 80], Operations: [] Exploring Operation: 1+2=3, Resulting Numbers: [66, 80, 3] Generated Node #2: [66, 80, 3] from Operation: 1+2=3 Current State: 42:[66, 80, 3], Operations: ['1+2=3'] Exploring Operation: 80-66=14, Resulting Numbers: [3, 14] Generated Node #3: [3, 14] from Operation: 80-66=14 Current State: 42:[3, 14], Operations: ['1+2=3', '80-66=14'] Exploring Operation: 3*14=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 71, 7, 64, 17 ]
17
[ "71-7=64", "64+17=81", "81-64=17" ]
Current State: 17:[71, 7, 64, 17], Operations: [] Exploring Operation: 71-7=64, Resulting Numbers: [64, 17, 64] Generated Node #2: [64, 17, 64] from Operation: 71-7=64 Current State: 17:[64, 17, 64], Operations: ['71-7=64'] Exploring Operation: 64+17=81, Resulting Numbers: [81] 81,17 equal: Goal Reached Exploring Operation: 81-64=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 5, 68, 45, 63 ]
61
[ "45/5=9", "63/9=7", "68-7=61" ]
Current State: 61:[5, 68, 45, 63], Operations: [] Exploring Operation: 45/5=9, Resulting Numbers: [68, 63, 9] Generated Node #2: [68, 63, 9] from Operation: 45/5=9 Current State: 61:[68, 63, 9], Operations: ['45/5=9'] Exploring Operation: 63/9=7, Resulting Numbers: [68, 7] Generated Node #3: [68, 7] from Operation: 63/9=7 Current State: 61:[68, 7], Operations: ['45/5=9', '63/9=7'] Exploring Operation: 68-7=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 87, 24, 60, 75 ]
78
[ "87-24=63", "75-60=15", "63+15=78" ]
Current State: 78:[87, 24, 60, 75], Operations: [] Exploring Operation: 87-24=63, Resulting Numbers: [60, 75, 63] Generated Node #2: [60, 75, 63] from Operation: 87-24=63 Current State: 78:[60, 75, 63], Operations: ['87-24=63'] Exploring Operation: 75-60=15, Resulting Numbers: [63, 15] Generated Node #3: [63, 15] from Operation: 75-60=15 Current State: 78:[63, 15], Operations: ['87-24=63', '75-60=15'] Exploring Operation: 63+15=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 40, 43, 37, 16 ]
15
[ "43-37=6", "40*6=240", "240/16=15" ]
Current State: 15:[40, 43, 37, 16], Operations: [] Exploring Operation: 43-37=6, Resulting Numbers: [40, 16, 6] Generated Node #2: [40, 16, 6] from Operation: 43-37=6 Current State: 15:[40, 16, 6], Operations: ['43-37=6'] Exploring Operation: 40*6=240, Resulting Numbers: [16, 240] Generated Node #3: [16, 240] from Operation: 40*6=240 Current State: 15:[16, 240], Operations: ['43-37=6', '40*6=240'] Exploring Operation: 240/16=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 94, 3, 35, 32 ]
77
[ "94+32=126", "126/3=42", "35+42=77" ]
Current State: 77:[94, 3, 35, 32], Operations: [] Exploring Operation: 94+32=126, Resulting Numbers: [3, 35, 126] Generated Node #2: [3, 35, 126] from Operation: 94+32=126 Current State: 77:[3, 35, 126], Operations: ['94+32=126'] Exploring Operation: 126/3=42, Resulting Numbers: [35, 42] Generated Node #3: [35, 42] from Operation: 126/3=42 Current State: 77:[35, 42], Operations: ['94+32=126', '126/3=42'] Exploring Operation: 35+42=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 52, 4, 48, 36 ]
26
[ "52+36=88", "88/4=22", "48-22=26" ]
Current State: 26:[52, 4, 48, 36], Operations: [] Exploring Operation: 52+36=88, Resulting Numbers: [4, 48, 88] Generated Node #2: [4, 48, 88] from Operation: 52+36=88 Current State: 26:[4, 48, 88], Operations: ['52+36=88'] Exploring Operation: 88/4=22, Resulting Numbers: [48, 22] Generated Node #3: [48, 22] from Operation: 88/4=22 Current State: 26:[48, 22], Operations: ['52+36=88', '88/4=22'] Exploring Operation: 48-22=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 97, 18, 92, 61 ]
94
[ "97-61=36", "36/18=2", "92+2=94" ]
Current State: 94:[97, 18, 92, 61], Operations: [] Exploring Operation: 97-61=36, Resulting Numbers: [18, 92, 36] Generated Node #2: [18, 92, 36] from Operation: 97-61=36 Current State: 94:[18, 92, 36], Operations: ['97-61=36'] Exploring Operation: 36/18=2, Resulting Numbers: [92, 2] Generated Node #3: [92, 2] from Operation: 36/18=2 Current State: 94:[92, 2], Operations: ['97-61=36', '36/18=2'] Exploring Operation: 92+2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 34, 45, 19, 52 ]
60
[ "45-34=11", "19+52=71", "71-11=60" ]
Current State: 60:[34, 45, 19, 52], Operations: [] Exploring Operation: 45-34=11, Resulting Numbers: [19, 52, 11] Generated Node #2: [19, 52, 11] from Operation: 45-34=11 Current State: 60:[19, 52, 11], Operations: ['45-34=11'] Exploring Operation: 19+52=71, Resulting Numbers: [11, 71] Generated Node #3: [11, 71] from Operation: 19+52=71 Current State: 60:[11, 71], Operations: ['45-34=11', '19+52=71'] Exploring Operation: 71-11=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 44, 29, 37, 34 ]
45
[ "44-29=15", "37-34=3", "15*3=45" ]
Current State: 45:[44, 29, 37, 34], Operations: [] Exploring Operation: 44-29=15, Resulting Numbers: [37, 34, 15] Generated Node #2: [37, 34, 15] from Operation: 44-29=15 Current State: 45:[37, 34, 15], Operations: ['44-29=15'] Exploring Operation: 37-34=3, Resulting Numbers: [15, 3] Generated Node #3: [15, 3] from Operation: 37-34=3 Current State: 45:[15, 3], Operations: ['44-29=15', '37-34=3'] Exploring Operation: 15*3=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 23, 39, 57, 18 ]
55
[ "39-23=16", "57-18=39", "16+39=55" ]
Current State: 55:[23, 39, 57, 18], Operations: [] Exploring Operation: 39-23=16, Resulting Numbers: [57, 18, 16] Generated Node #2: [57, 18, 16] from Operation: 39-23=16 Current State: 55:[57, 18, 16], Operations: ['39-23=16'] Exploring Operation: 57-18=39, Resulting Numbers: [16, 39] Generated Node #3: [16, 39] from Operation: 57-18=39 Current State: 55:[16, 39], Operations: ['39-23=16', '57-18=39'] Exploring Operation: 16+39=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 84, 49, 53, 10 ]
70
[ "84+49=133", "53+10=63", "133-63=70" ]
Current State: 70:[84, 49, 53, 10], Operations: [] Exploring Operation: 84+49=133, Resulting Numbers: [53, 10, 133] Generated Node #2: [53, 10, 133] from Operation: 84+49=133 Current State: 70:[53, 10, 133], Operations: ['84+49=133'] Exploring Operation: 53+10=63, Resulting Numbers: [133, 63] Generated Node #3: [133, 63] from Operation: 53+10=63 Current State: 70:[133, 63], Operations: ['84+49=133', '53+10=63'] Exploring Operation: 133-63=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 26, 41, 4, 96 ]
82
[ "96/4=24", "26-24=2", "41*2=82" ]
Current State: 82:[26, 41, 4, 96], Operations: [] Exploring Operation: 96/4=24, Resulting Numbers: [26, 41, 24] Generated Node #2: [26, 41, 24] from Operation: 96/4=24 Current State: 82:[26, 41, 24], Operations: ['96/4=24'] Exploring Operation: 26-24=2, Resulting Numbers: [41, 2] Generated Node #3: [41, 2] from Operation: 26-24=2 Current State: 82:[41, 2], Operations: ['96/4=24', '26-24=2'] Exploring Operation: 41*2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 96, 82, 91, 37 ]
40
[ "96-82=14", "91-37=54", "54-14=40" ]
Current State: 40:[96, 82, 91, 37], Operations: [] Exploring Operation: 96-82=14, Resulting Numbers: [91, 37, 14] Generated Node #2: [91, 37, 14] from Operation: 96-82=14 Current State: 40:[91, 37, 14], Operations: ['96-82=14'] Exploring Operation: 91-37=54, Resulting Numbers: [14, 54] Generated Node #3: [14, 54] from Operation: 91-37=54 Current State: 40:[14, 54], Operations: ['96-82=14', '91-37=54'] Exploring Operation: 54-14=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 4, 93, 43, 80 ]
46
[ "93+43=136", "136/4=34", "80-34=46" ]
Current State: 46:[4, 93, 43, 80], Operations: [] Exploring Operation: 93+43=136, Resulting Numbers: [4, 80, 136] Generated Node #2: [4, 80, 136] from Operation: 93+43=136 Current State: 46:[4, 80, 136], Operations: ['93+43=136'] Exploring Operation: 136/4=34, Resulting Numbers: [80, 34] Generated Node #3: [80, 34] from Operation: 136/4=34 Current State: 46:[80, 34], Operations: ['93+43=136', '136/4=34'] Exploring Operation: 80-34=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 89, 26, 13, 59 ]
32
[ "89-59=30", "26/13=2", "30+2=32" ]
Current State: 32:[89, 26, 13, 59], Operations: [] Exploring Operation: 89-59=30, Resulting Numbers: [26, 13, 30] Generated Node #2: [26, 13, 30] from Operation: 89-59=30 Current State: 32:[26, 13, 30], Operations: ['89-59=30'] Exploring Operation: 26/13=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 26/13=2 Current State: 32:[30, 2], Operations: ['89-59=30', '26/13=2'] Exploring Operation: 30+2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 42, 96, 48, 2 ]
18
[ "48-42=6", "96/6=16", "2+16=18" ]
Current State: 18:[42, 96, 48, 2], Operations: [] Exploring Operation: 48-42=6, Resulting Numbers: [96, 2, 6] Generated Node #2: [96, 2, 6] from Operation: 48-42=6 Current State: 18:[96, 2, 6], Operations: ['48-42=6'] Exploring Operation: 96/6=16, Resulting Numbers: [2, 16] Generated Node #3: [2, 16] from Operation: 96/6=16 Current State: 18:[2, 16], Operations: ['48-42=6', '96/6=16'] Exploring Operation: 2+16=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 98, 43, 42, 65 ]
52
[ "98-43=55", "42+65=107", "107-55=52" ]
Current State: 52:[98, 43, 42, 65], Operations: [] Exploring Operation: 98-43=55, Resulting Numbers: [42, 65, 55] Generated Node #2: [42, 65, 55] from Operation: 98-43=55 Current State: 52:[42, 65, 55], Operations: ['98-43=55'] Exploring Operation: 42+65=107, Resulting Numbers: [55, 107] Generated Node #3: [55, 107] from Operation: 42+65=107 Current State: 52:[55, 107], Operations: ['98-43=55', '42+65=107'] Exploring Operation: 107-55=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 11, 80, 53, 82 ]
40
[ "80-11=69", "82-53=29", "69-29=40" ]
Current State: 40:[11, 80, 53, 82], Operations: [] Exploring Operation: 80-11=69, Resulting Numbers: [53, 82, 69] Generated Node #2: [53, 82, 69] from Operation: 80-11=69 Current State: 40:[53, 82, 69], Operations: ['80-11=69'] Exploring Operation: 82-53=29, Resulting Numbers: [69, 29] Generated Node #3: [69, 29] from Operation: 82-53=29 Current State: 40:[69, 29], Operations: ['80-11=69', '82-53=29'] Exploring Operation: 69-29=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 98, 12, 18, 33 ]
100
[ "18-12=6", "33*6=198", "198-98=100" ]
Current State: 100:[98, 12, 18, 33], Operations: [] Exploring Operation: 18-12=6, Resulting Numbers: [98, 33, 6] Generated Node #2: [98, 33, 6] from Operation: 18-12=6 Current State: 100:[98, 33, 6], Operations: ['18-12=6'] Exploring Operation: 33*6=198, Resulting Numbers: [98, 198] Generated Node #3: [98, 198] from Operation: 33*6=198 Current State: 100:[98, 198], Operations: ['18-12=6', '33*6=198'] Exploring Operation: 198-98=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 93, 33, 44, 22 ]
18
[ "93*22=2046", "2046/33=62", "62-44=18" ]
Current State: 18:[93, 33, 44, 22], Operations: [] Exploring Operation: 93*22=2046, Resulting Numbers: [33, 44, 2046] Generated Node #2: [33, 44, 2046] from Operation: 93*22=2046 Current State: 18:[33, 44, 2046], Operations: ['93*22=2046'] Exploring Operation: 2046/33=62, Resulting Numbers: [44, 62] Generated Node #3: [44, 62] from Operation: 2046/33=62 Current State: 18:[44, 62], Operations: ['93*22=2046', '2046/33=62'] Exploring Operation: 62-44=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 95, 15, 72, 51 ]
89
[ "95+15=110", "72-51=21", "110-21=89" ]
Current State: 89:[95, 15, 72, 51], Operations: [] Exploring Operation: 95+15=110, Resulting Numbers: [72, 51, 110] Generated Node #2: [72, 51, 110] from Operation: 95+15=110 Current State: 89:[72, 51, 110], Operations: ['95+15=110'] Exploring Operation: 72-51=21, Resulting Numbers: [110, 21] Generated Node #3: [110, 21] from Operation: 72-51=21 Current State: 89:[110, 21], Operations: ['95+15=110', '72-51=21'] Exploring Operation: 110-21=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 13, 16, 36, 41 ]
48
[ "13+16=29", "36+41=77", "77-29=48" ]
Current State: 48:[13, 16, 36, 41], Operations: [] Exploring Operation: 13+16=29, Resulting Numbers: [36, 41, 29] Generated Node #2: [36, 41, 29] from Operation: 13+16=29 Current State: 48:[36, 41, 29], Operations: ['13+16=29'] Exploring Operation: 36+41=77, Resulting Numbers: [29, 77] Generated Node #3: [29, 77] from Operation: 36+41=77 Current State: 48:[29, 77], Operations: ['13+16=29', '36+41=77'] Exploring Operation: 77-29=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 27, 58, 56, 56 ]
86
[ "27+58=85", "56/56=1", "85+1=86" ]
Current State: 86:[27, 58, 56, 56], Operations: [] Exploring Operation: 27+58=85, Resulting Numbers: [56, 56, 85] Generated Node #2: [56, 56, 85] from Operation: 27+58=85 Current State: 86:[56, 56, 85], Operations: ['27+58=85'] Exploring Operation: 56/56=1, Resulting Numbers: [85, 1] Generated Node #3: [85, 1] from Operation: 56/56=1 Current State: 86:[85, 1], Operations: ['27+58=85', '56/56=1'] Exploring Operation: 85+1=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 58, 20, 14, 33 ]
19
[ "58-20=38", "33-14=19", "38-19=19" ]
Current State: 19:[58, 20, 14, 33], Operations: [] Exploring Operation: 58-20=38, Resulting Numbers: [14, 33, 38] Generated Node #2: [14, 33, 38] from Operation: 58-20=38 Current State: 19:[14, 33, 38], Operations: ['58-20=38'] Exploring Operation: 33-14=19, Resulting Numbers: [38, 19] Generated Node #3: [38, 19] from Operation: 33-14=19 Current State: 19:[38, 19], Operations: ['58-20=38', '33-14=19'] Exploring Operation: 38-19=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 30, 5, 99, 15 ]
45
[ "30*15=450", "5*99=495", "495-450=45" ]
Current State: 45:[30, 5, 99, 15], Operations: [] Exploring Operation: 30*15=450, Resulting Numbers: [5, 99, 450] Generated Node #2: [5, 99, 450] from Operation: 30*15=450 Current State: 45:[5, 99, 450], Operations: ['30*15=450'] Exploring Operation: 5*99=495, Resulting Numbers: [450, 495] Generated Node #3: [450, 495] from Operation: 5*99=495 Current State: 45:[450, 495], Operations: ['30*15=450', '5*99=495'] Exploring Operation: 495-450=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 74, 45, 11, 35 ]
95
[ "74+45=119", "35-11=24", "119-24=95" ]
Current State: 95:[74, 45, 11, 35], Operations: [] Exploring Operation: 74+45=119, Resulting Numbers: [11, 35, 119] Generated Node #2: [11, 35, 119] from Operation: 74+45=119 Current State: 95:[11, 35, 119], Operations: ['74+45=119'] Exploring Operation: 35-11=24, Resulting Numbers: [119, 24] Generated Node #3: [119, 24] from Operation: 35-11=24 Current State: 95:[119, 24], Operations: ['74+45=119', '35-11=24'] Exploring Operation: 119-24=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 96, 44, 88, 28 ]
83
[ "96+44=140", "140/28=5", "88-5=83" ]
Current State: 83:[96, 44, 88, 28], Operations: [] Exploring Operation: 96+44=140, Resulting Numbers: [88, 28, 140] Generated Node #2: [88, 28, 140] from Operation: 96+44=140 Current State: 83:[88, 28, 140], Operations: ['96+44=140'] Exploring Operation: 140/28=5, Resulting Numbers: [88, 5] Generated Node #3: [88, 5] from Operation: 140/28=5 Current State: 83:[88, 5], Operations: ['96+44=140', '140/28=5'] Exploring Operation: 88-5=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 65, 39, 83, 28 ]
85
[ "65-39=26", "83+28=111", "111-26=85" ]
Current State: 85:[65, 39, 83, 28], Operations: [] Exploring Operation: 65-39=26, Resulting Numbers: [83, 28, 26] Generated Node #2: [83, 28, 26] from Operation: 65-39=26 Current State: 85:[83, 28, 26], Operations: ['65-39=26'] Exploring Operation: 83+28=111, Resulting Numbers: [26, 111] Generated Node #3: [26, 111] from Operation: 83+28=111 Current State: 85:[26, 111], Operations: ['65-39=26', '83+28=111'] Exploring Operation: 111-26=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 56, 19, 49, 12 ]
95
[ "56-49=7", "12-7=5", "19*5=95" ]
Current State: 95:[56, 19, 49, 12], Operations: [] Exploring Operation: 56-49=7, Resulting Numbers: [19, 12, 7] Generated Node #2: [19, 12, 7] from Operation: 56-49=7 Current State: 95:[19, 12, 7], Operations: ['56-49=7'] Exploring Operation: 12-7=5, Resulting Numbers: [19, 5] Generated Node #3: [19, 5] from Operation: 12-7=5 Current State: 95:[19, 5], Operations: ['56-49=7', '12-7=5'] Exploring Operation: 19*5=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 27, 35, 19, 58 ]
15
[ "27+35=62", "19+58=77", "77-62=15" ]
Current State: 15:[27, 35, 19, 58], Operations: [] Exploring Operation: 27+35=62, Resulting Numbers: [19, 58, 62] Generated Node #2: [19, 58, 62] from Operation: 27+35=62 Current State: 15:[19, 58, 62], Operations: ['27+35=62'] Exploring Operation: 19+58=77, Resulting Numbers: [62, 77] Generated Node #3: [62, 77] from Operation: 19+58=77 Current State: 15:[62, 77], Operations: ['27+35=62', '19+58=77'] Exploring Operation: 77-62=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 36, 5, 65, 30 ]
76
[ "36+5=41", "65-30=35", "41+35=76" ]
Current State: 76:[36, 5, 65, 30], Operations: [] Exploring Operation: 36+5=41, Resulting Numbers: [65, 30, 41] Generated Node #2: [65, 30, 41] from Operation: 36+5=41 Current State: 76:[65, 30, 41], Operations: ['36+5=41'] Exploring Operation: 65-30=35, Resulting Numbers: [41, 35] Generated Node #3: [41, 35] from Operation: 65-30=35 Current State: 76:[41, 35], Operations: ['36+5=41', '65-30=35'] Exploring Operation: 41+35=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 5, 99, 33, 44 ]
46
[ "5+44=49", "99/33=3", "49-3=46" ]
Current State: 46:[5, 99, 33, 44], Operations: [] Exploring Operation: 5+44=49, Resulting Numbers: [99, 33, 49] Generated Node #2: [99, 33, 49] from Operation: 5+44=49 Current State: 46:[99, 33, 49], Operations: ['5+44=49'] Exploring Operation: 99/33=3, Resulting Numbers: [49, 3] Generated Node #3: [49, 3] from Operation: 99/33=3 Current State: 46:[49, 3], Operations: ['5+44=49', '99/33=3'] Exploring Operation: 49-3=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 74, 86, 63, 3 ]
53
[ "74-63=11", "3*11=33", "86-33=53" ]
Current State: 53:[74, 86, 63, 3], Operations: [] Exploring Operation: 74-63=11, Resulting Numbers: [86, 3, 11] Generated Node #2: [86, 3, 11] from Operation: 74-63=11 Current State: 53:[86, 3, 11], Operations: ['74-63=11'] Exploring Operation: 3*11=33, Resulting Numbers: [86, 33] Generated Node #3: [86, 33] from Operation: 3*11=33 Current State: 53:[86, 33], Operations: ['74-63=11', '3*11=33'] Exploring Operation: 86-33=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 21, 24, 29, 56 ]
24
[ "24-21=3", "56-29=27", "27-3=24" ]
Current State: 24:[21, 24, 29, 56], Operations: [] Exploring Operation: 24-21=3, Resulting Numbers: [29, 56, 3] Generated Node #2: [29, 56, 3] from Operation: 24-21=3 Current State: 24:[29, 56, 3], Operations: ['24-21=3'] Exploring Operation: 56-29=27, Resulting Numbers: [3, 27] Generated Node #3: [3, 27] from Operation: 56-29=27 Current State: 24:[3, 27], Operations: ['24-21=3', '56-29=27'] Exploring Operation: 27-3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 29, 97, 5, 1 ]
19
[ "5-1=4", "29*4=116", "116-97=19" ]
Current State: 19:[29, 97, 5, 1], Operations: [] Exploring Operation: 5-1=4, Resulting Numbers: [29, 97, 4] Generated Node #2: [29, 97, 4] from Operation: 5-1=4 Current State: 19:[29, 97, 4], Operations: ['5-1=4'] Exploring Operation: 29*4=116, Resulting Numbers: [97, 116] Generated Node #3: [97, 116] from Operation: 29*4=116 Current State: 19:[97, 116], Operations: ['5-1=4', '29*4=116'] Exploring Operation: 116-97=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 15, 93, 54, 3 ]
100
[ "15+54=69", "93/3=31", "69+31=100" ]
Current State: 100:[15, 93, 54, 3], Operations: [] Exploring Operation: 15+54=69, Resulting Numbers: [93, 3, 69] Generated Node #2: [93, 3, 69] from Operation: 15+54=69 Current State: 100:[93, 3, 69], Operations: ['15+54=69'] Exploring Operation: 93/3=31, Resulting Numbers: [69, 31] Generated Node #3: [69, 31] from Operation: 93/3=31 Current State: 100:[69, 31], Operations: ['15+54=69', '93/3=31'] Exploring Operation: 69+31=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 2, 79, 34, 4 ]
82
[ "79-34=45", "45-4=41", "2*41=82" ]
Current State: 82:[2, 79, 34, 4], Operations: [] Exploring Operation: 79-34=45, Resulting Numbers: [2, 4, 45] Generated Node #2: [2, 4, 45] from Operation: 79-34=45 Current State: 82:[2, 4, 45], Operations: ['79-34=45'] Exploring Operation: 45-4=41, Resulting Numbers: [2, 41] Generated Node #3: [2, 41] from Operation: 45-4=41 Current State: 82:[2, 41], Operations: ['79-34=45', '45-4=41'] Exploring Operation: 2*41=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 39, 69, 63, 69 ]
23
[ "63-39=24", "69/69=1", "24-1=23" ]
Current State: 23:[39, 69, 63, 69], Operations: [] Exploring Operation: 63-39=24, Resulting Numbers: [69, 69, 24] Generated Node #2: [69, 69, 24] from Operation: 63-39=24 Current State: 23:[69, 69, 24], Operations: ['63-39=24'] Exploring Operation: 69/69=1, Resulting Numbers: [24, 1] Generated Node #3: [24, 1] from Operation: 69/69=1 Current State: 23:[24, 1], Operations: ['63-39=24', '69/69=1'] Exploring Operation: 24-1=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 27, 32, 81, 28 ]
27
[ "27+81=108", "32-28=4", "108/4=27" ]
Current State: 27:[27, 32, 81, 28], Operations: [] Exploring Operation: 27+81=108, Resulting Numbers: [32, 28, 108] Generated Node #2: [32, 28, 108] from Operation: 27+81=108 Current State: 27:[32, 28, 108], Operations: ['27+81=108'] Exploring Operation: 32-28=4, Resulting Numbers: [108, 4] Generated Node #3: [108, 4] from Operation: 32-28=4 Current State: 27:[108, 4], Operations: ['27+81=108', '32-28=4'] Exploring Operation: 108/4=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 23, 2, 19, 80 ]
78
[ "23-2=21", "19+80=99", "99-21=78" ]
Current State: 78:[23, 2, 19, 80], Operations: [] Exploring Operation: 23-2=21, Resulting Numbers: [19, 80, 21] Generated Node #2: [19, 80, 21] from Operation: 23-2=21 Current State: 78:[19, 80, 21], Operations: ['23-2=21'] Exploring Operation: 19+80=99, Resulting Numbers: [21, 99] Generated Node #3: [21, 99] from Operation: 19+80=99 Current State: 78:[21, 99], Operations: ['23-2=21', '19+80=99'] Exploring Operation: 99-21=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 88, 37, 20, 15 ]
44
[ "37-20=17", "17-15=2", "88/2=44" ]
Current State: 44:[88, 37, 20, 15], Operations: [] Exploring Operation: 37-20=17, Resulting Numbers: [88, 15, 17] Generated Node #2: [88, 15, 17] from Operation: 37-20=17 Current State: 44:[88, 15, 17], Operations: ['37-20=17'] Exploring Operation: 17-15=2, Resulting Numbers: [88, 2] Generated Node #3: [88, 2] from Operation: 17-15=2 Current State: 44:[88, 2], Operations: ['37-20=17', '17-15=2'] Exploring Operation: 88/2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 16, 70, 30, 99 ]
15
[ "70-16=54", "99-30=69", "69-54=15" ]
Current State: 15:[16, 70, 30, 99], Operations: [] Exploring Operation: 70-16=54, Resulting Numbers: [30, 99, 54] Generated Node #2: [30, 99, 54] from Operation: 70-16=54 Current State: 15:[30, 99, 54], Operations: ['70-16=54'] Exploring Operation: 99-30=69, Resulting Numbers: [54, 69] Generated Node #3: [54, 69] from Operation: 99-30=69 Current State: 15:[54, 69], Operations: ['70-16=54', '99-30=69'] Exploring Operation: 69-54=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 42, 50, 73, 33 ]
52
[ "42+50=92", "73-33=40", "92-40=52" ]
Current State: 52:[42, 50, 73, 33], Operations: [] Exploring Operation: 42+50=92, Resulting Numbers: [73, 33, 92] Generated Node #2: [73, 33, 92] from Operation: 42+50=92 Current State: 52:[73, 33, 92], Operations: ['42+50=92'] Exploring Operation: 73-33=40, Resulting Numbers: [92, 40] Generated Node #3: [92, 40] from Operation: 73-33=40 Current State: 52:[92, 40], Operations: ['42+50=92', '73-33=40'] Exploring Operation: 92-40=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 12, 7, 15, 21 ]
24
[ "12-7=5", "15/5=3", "21+3=24" ]
Current State: 24:[12, 7, 15, 21], Operations: [] Exploring Operation: 12-7=5, Resulting Numbers: [15, 21, 5] Generated Node #2: [15, 21, 5] from Operation: 12-7=5 Current State: 24:[15, 21, 5], Operations: ['12-7=5'] Exploring Operation: 15/5=3, Resulting Numbers: [21, 3] Generated Node #3: [21, 3] from Operation: 15/5=3 Current State: 24:[21, 3], Operations: ['12-7=5', '15/5=3'] Exploring Operation: 21+3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 32, 30, 11, 67 ]
55
[ "32+30=62", "67-62=5", "11*5=55" ]
Current State: 55:[32, 30, 11, 67], Operations: [] Exploring Operation: 32+30=62, Resulting Numbers: [11, 67, 62] Generated Node #2: [11, 67, 62] from Operation: 32+30=62 Current State: 55:[11, 67, 62], Operations: ['32+30=62'] Exploring Operation: 67-62=5, Resulting Numbers: [11, 5] Generated Node #3: [11, 5] from Operation: 67-62=5 Current State: 55:[11, 5], Operations: ['32+30=62', '67-62=5'] Exploring Operation: 11*5=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 94, 8, 24, 2 ]
100
[ "94-2=92", "8*24=192", "192-92=100" ]
Current State: 100:[94, 8, 24, 2], Operations: [] Exploring Operation: 94-2=92, Resulting Numbers: [8, 24, 92] Generated Node #2: [8, 24, 92] from Operation: 94-2=92 Current State: 100:[8, 24, 92], Operations: ['94-2=92'] Exploring Operation: 8*24=192, Resulting Numbers: [92, 192] Generated Node #3: [92, 192] from Operation: 8*24=192 Current State: 100:[92, 192], Operations: ['94-2=92', '8*24=192'] Exploring Operation: 192-92=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 97, 5, 35, 63 ]
88
[ "35/5=7", "63/7=9", "97-9=88" ]
Current State: 88:[97, 5, 35, 63], Operations: [] Exploring Operation: 35/5=7, Resulting Numbers: [97, 63, 7] Generated Node #2: [97, 63, 7] from Operation: 35/5=7 Current State: 88:[97, 63, 7], Operations: ['35/5=7'] Exploring Operation: 63/7=9, Resulting Numbers: [97, 9] Generated Node #3: [97, 9] from Operation: 63/7=9 Current State: 88:[97, 9], Operations: ['35/5=7', '63/7=9'] Exploring Operation: 97-9=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 88, 52, 66, 55 ]
44
[ "66-55=11", "88/11=8", "52-8=44" ]
Current State: 44:[88, 52, 66, 55], Operations: [] Exploring Operation: 66-55=11, Resulting Numbers: [88, 52, 11] Generated Node #2: [88, 52, 11] from Operation: 66-55=11 Current State: 44:[88, 52, 11], Operations: ['66-55=11'] Exploring Operation: 88/11=8, Resulting Numbers: [52, 8] Generated Node #3: [52, 8] from Operation: 88/11=8 Current State: 44:[52, 8], Operations: ['66-55=11', '88/11=8'] Exploring Operation: 52-8=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 15, 91, 49, 81 ]
24
[ "15+91=106", "49+81=130", "130-106=24" ]
Current State: 24:[15, 91, 49, 81], Operations: [] Exploring Operation: 15+91=106, Resulting Numbers: [49, 81, 106] Generated Node #2: [49, 81, 106] from Operation: 15+91=106 Current State: 24:[49, 81, 106], Operations: ['15+91=106'] Exploring Operation: 49+81=130, Resulting Numbers: [106, 130] Generated Node #3: [106, 130] from Operation: 49+81=130 Current State: 24:[106, 130], Operations: ['15+91=106', '49+81=130'] Exploring Operation: 130-106=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 93, 51, 25, 4 ]
86
[ "93+25=118", "51*4=204", "204-118=86" ]
Current State: 86:[93, 51, 25, 4], Operations: [] Exploring Operation: 93+25=118, Resulting Numbers: [51, 4, 118] Generated Node #2: [51, 4, 118] from Operation: 93+25=118 Current State: 86:[51, 4, 118], Operations: ['93+25=118'] Exploring Operation: 51*4=204, Resulting Numbers: [118, 204] Generated Node #3: [118, 204] from Operation: 51*4=204 Current State: 86:[118, 204], Operations: ['93+25=118', '51*4=204'] Exploring Operation: 204-118=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 39, 22, 81, 34 ]
30
[ "39-22=17", "81-34=47", "47-17=30" ]
Current State: 30:[39, 22, 81, 34], Operations: [] Exploring Operation: 39-22=17, Resulting Numbers: [81, 34, 17] Generated Node #2: [81, 34, 17] from Operation: 39-22=17 Current State: 30:[81, 34, 17], Operations: ['39-22=17'] Exploring Operation: 81-34=47, Resulting Numbers: [17, 47] Generated Node #3: [17, 47] from Operation: 81-34=47 Current State: 30:[17, 47], Operations: ['39-22=17', '81-34=47'] Exploring Operation: 47-17=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 43, 17, 21, 95 ]
100
[ "43-17=26", "95-21=74", "26+74=100" ]
Current State: 100:[43, 17, 21, 95], Operations: [] Exploring Operation: 43-17=26, Resulting Numbers: [21, 95, 26] Generated Node #2: [21, 95, 26] from Operation: 43-17=26 Current State: 100:[21, 95, 26], Operations: ['43-17=26'] Exploring Operation: 95-21=74, Resulting Numbers: [26, 74] Generated Node #3: [26, 74] from Operation: 95-21=74 Current State: 100:[26, 74], Operations: ['43-17=26', '95-21=74'] Exploring Operation: 26+74=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 19, 16, 65, 6 ]
68
[ "19-16=3", "65+6=71", "71-3=68" ]
Current State: 68:[19, 16, 65, 6], Operations: [] Exploring Operation: 19-16=3, Resulting Numbers: [65, 6, 3] Generated Node #2: [65, 6, 3] from Operation: 19-16=3 Current State: 68:[65, 6, 3], Operations: ['19-16=3'] Exploring Operation: 65+6=71, Resulting Numbers: [3, 71] Generated Node #3: [3, 71] from Operation: 65+6=71 Current State: 68:[3, 71], Operations: ['19-16=3', '65+6=71'] Exploring Operation: 71-3=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 7, 47, 28, 76 ]
57
[ "47-28=19", "7*19=133", "133-76=57" ]
Current State: 57:[7, 47, 28, 76], Operations: [] Exploring Operation: 47-28=19, Resulting Numbers: [7, 76, 19] Generated Node #2: [7, 76, 19] from Operation: 47-28=19 Current State: 57:[7, 76, 19], Operations: ['47-28=19'] Exploring Operation: 7*19=133, Resulting Numbers: [76, 133] Generated Node #3: [76, 133] from Operation: 7*19=133 Current State: 57:[76, 133], Operations: ['47-28=19', '7*19=133'] Exploring Operation: 133-76=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 76, 35, 35, 96 ]
16
[ "76-35=41", "41-35=6", "96/6=16" ]
Current State: 16:[76, 35, 35, 96], Operations: [] Exploring Operation: 76-35=41, Resulting Numbers: [96, 41] Generated Node #2: [96, 41] from Operation: 76-35=41 Current State: 16:[96, 41], Operations: ['76-35=41'] Exploring Operation: 41-35=6, Resulting Numbers: [96, 6] Generated Node #3: [96, 6] from Operation: 41-35=6 Current State: 16:[96, 6], Operations: ['76-35=41', '41-35=6'] Exploring Operation: 96/6=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 39, 30, 23, 90 ]
58
[ "39-30=9", "90-23=67", "67-9=58" ]
Current State: 58:[39, 30, 23, 90], Operations: [] Exploring Operation: 39-30=9, Resulting Numbers: [23, 90, 9] Generated Node #2: [23, 90, 9] from Operation: 39-30=9 Current State: 58:[23, 90, 9], Operations: ['39-30=9'] Exploring Operation: 90-23=67, Resulting Numbers: [9, 67] Generated Node #3: [9, 67] from Operation: 90-23=67 Current State: 58:[9, 67], Operations: ['39-30=9', '90-23=67'] Exploring Operation: 67-9=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 5, 77, 63, 18 ]
88
[ "77-63=14", "5*14=70", "18+70=88" ]
Current State: 88:[5, 77, 63, 18], Operations: [] Exploring Operation: 77-63=14, Resulting Numbers: [5, 18, 14] Generated Node #2: [5, 18, 14] from Operation: 77-63=14 Current State: 88:[5, 18, 14], Operations: ['77-63=14'] Exploring Operation: 5*14=70, Resulting Numbers: [18, 70] Generated Node #3: [18, 70] from Operation: 5*14=70 Current State: 88:[18, 70], Operations: ['77-63=14', '5*14=70'] Exploring Operation: 18+70=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 1, 65, 41, 43 ]
32
[ "65-1=64", "43-41=2", "64/2=32" ]
Current State: 32:[1, 65, 41, 43], Operations: [] Exploring Operation: 65-1=64, Resulting Numbers: [41, 43, 64] Generated Node #2: [41, 43, 64] from Operation: 65-1=64 Current State: 32:[41, 43, 64], Operations: ['65-1=64'] Exploring Operation: 43-41=2, Resulting Numbers: [64, 2] Generated Node #3: [64, 2] from Operation: 43-41=2 Current State: 32:[64, 2], Operations: ['65-1=64', '43-41=2'] Exploring Operation: 64/2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 15, 6, 57, 61 ]
97
[ "15+6=21", "57+61=118", "118-21=97" ]
Current State: 97:[15, 6, 57, 61], Operations: [] Exploring Operation: 15+6=21, Resulting Numbers: [57, 61, 21] Generated Node #2: [57, 61, 21] from Operation: 15+6=21 Current State: 97:[57, 61, 21], Operations: ['15+6=21'] Exploring Operation: 57+61=118, Resulting Numbers: [21, 118] Generated Node #3: [21, 118] from Operation: 57+61=118 Current State: 97:[21, 118], Operations: ['15+6=21', '57+61=118'] Exploring Operation: 118-21=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 33, 59, 6, 51 ]
35
[ "33+59=92", "6+51=57", "92-57=35" ]
Current State: 35:[33, 59, 6, 51], Operations: [] Exploring Operation: 33+59=92, Resulting Numbers: [6, 51, 92] Generated Node #2: [6, 51, 92] from Operation: 33+59=92 Current State: 35:[6, 51, 92], Operations: ['33+59=92'] Exploring Operation: 6+51=57, Resulting Numbers: [92, 57] Generated Node #3: [92, 57] from Operation: 6+51=57 Current State: 35:[92, 57], Operations: ['33+59=92', '6+51=57'] Exploring Operation: 92-57=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 47, 5, 89, 26 ]
13
[ "47*26=1222", "5+89=94", "1222/94=13" ]
Current State: 13:[47, 5, 89, 26], Operations: [] Exploring Operation: 47*26=1222, Resulting Numbers: [5, 89, 1222] Generated Node #2: [5, 89, 1222] from Operation: 47*26=1222 Current State: 13:[5, 89, 1222], Operations: ['47*26=1222'] Exploring Operation: 5+89=94, Resulting Numbers: [1222, 94] Generated Node #3: [1222, 94] from Operation: 5+89=94 Current State: 13:[1222, 94], Operations: ['47*26=1222', '5+89=94'] Exploring Operation: 1222/94=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 14, 12, 15, 92 ]
74
[ "14+92=106", "12*15=180", "180-106=74" ]
Current State: 74:[14, 12, 15, 92], Operations: [] Exploring Operation: 14+92=106, Resulting Numbers: [12, 15, 106] Generated Node #2: [12, 15, 106] from Operation: 14+92=106 Current State: 74:[12, 15, 106], Operations: ['14+92=106'] Exploring Operation: 12*15=180, Resulting Numbers: [106, 180] Generated Node #3: [106, 180] from Operation: 12*15=180 Current State: 74:[106, 180], Operations: ['14+92=106', '12*15=180'] Exploring Operation: 180-106=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 6, 35, 27, 87 ]
11
[ "6*35=210", "87+210=297", "297/27=11" ]
Current State: 11:[6, 35, 27, 87], Operations: [] Exploring Operation: 6*35=210, Resulting Numbers: [27, 87, 210] Generated Node #2: [27, 87, 210] from Operation: 6*35=210 Current State: 11:[27, 87, 210], Operations: ['6*35=210'] Exploring Operation: 87+210=297, Resulting Numbers: [27, 297] Generated Node #3: [27, 297] from Operation: 87+210=297 Current State: 11:[27, 297], Operations: ['6*35=210', '87+210=297'] Exploring Operation: 297/27=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 30, 4, 70, 82 ]
38
[ "30-4=26", "82-70=12", "26+12=38" ]
Current State: 38:[30, 4, 70, 82], Operations: [] Exploring Operation: 30-4=26, Resulting Numbers: [70, 82, 26] Generated Node #2: [70, 82, 26] from Operation: 30-4=26 Current State: 38:[70, 82, 26], Operations: ['30-4=26'] Exploring Operation: 82-70=12, Resulting Numbers: [26, 12] Generated Node #3: [26, 12] from Operation: 82-70=12 Current State: 38:[26, 12], Operations: ['30-4=26', '82-70=12'] Exploring Operation: 26+12=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 91, 34, 42, 13 ]
13
[ "91+13=104", "42-34=8", "104/8=13" ]
Current State: 13:[91, 34, 42, 13], Operations: [] Exploring Operation: 91+13=104, Resulting Numbers: [34, 42, 104] Generated Node #2: [34, 42, 104] from Operation: 91+13=104 Current State: 13:[34, 42, 104], Operations: ['91+13=104'] Exploring Operation: 42-34=8, Resulting Numbers: [104, 8] Generated Node #3: [104, 8] from Operation: 42-34=8 Current State: 13:[104, 8], Operations: ['91+13=104', '42-34=8'] Exploring Operation: 104/8=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 74, 86, 24, 74 ]
72
[ "86-74=12", "24/12=2", "74-2=72" ]
Current State: 72:[74, 86, 24, 74], Operations: [] Exploring Operation: 86-74=12, Resulting Numbers: [24, 12] Generated Node #2: [24, 12] from Operation: 86-74=12 Current State: 72:[24, 12], Operations: ['86-74=12'] Exploring Operation: 24/12=2, Resulting Numbers: [2] 2,72 equal: Goal Reached Exploring Operation: 74-2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 11, 20, 16, 80 ]
20
[ "16-11=5", "20+80=100", "100/5=20" ]
Current State: 20:[11, 20, 16, 80], Operations: [] Exploring Operation: 16-11=5, Resulting Numbers: [20, 80, 5] Generated Node #2: [20, 80, 5] from Operation: 16-11=5 Current State: 20:[20, 80, 5], Operations: ['16-11=5'] Exploring Operation: 20+80=100, Resulting Numbers: [5, 100] Generated Node #3: [5, 100] from Operation: 20+80=100 Current State: 20:[5, 100], Operations: ['16-11=5', '20+80=100'] Exploring Operation: 100/5=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 83, 2, 66, 52 ]
71
[ "83+2=85", "66-52=14", "85-14=71" ]
Current State: 71:[83, 2, 66, 52], Operations: [] Exploring Operation: 83+2=85, Resulting Numbers: [66, 52, 85] Generated Node #2: [66, 52, 85] from Operation: 83+2=85 Current State: 71:[66, 52, 85], Operations: ['83+2=85'] Exploring Operation: 66-52=14, Resulting Numbers: [85, 14] Generated Node #3: [85, 14] from Operation: 66-52=14 Current State: 71:[85, 14], Operations: ['83+2=85', '66-52=14'] Exploring Operation: 85-14=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 21, 52, 41, 58 ]
90
[ "21+52=73", "58-41=17", "73+17=90" ]
Current State: 90:[21, 52, 41, 58], Operations: [] Exploring Operation: 21+52=73, Resulting Numbers: [41, 58, 73] Generated Node #2: [41, 58, 73] from Operation: 21+52=73 Current State: 90:[41, 58, 73], Operations: ['21+52=73'] Exploring Operation: 58-41=17, Resulting Numbers: [73, 17] Generated Node #3: [73, 17] from Operation: 58-41=17 Current State: 90:[73, 17], Operations: ['21+52=73', '58-41=17'] Exploring Operation: 73+17=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 61, 20, 61, 66 ]
57
[ "66-61=5", "20/5=4", "61-4=57" ]
Current State: 57:[61, 20, 61, 66], Operations: [] Exploring Operation: 66-61=5, Resulting Numbers: [20, 5] Generated Node #2: [20, 5] from Operation: 66-61=5 Current State: 57:[20, 5], Operations: ['66-61=5'] Exploring Operation: 20/5=4, Resulting Numbers: [4] 4,57 equal: Goal Reached Exploring Operation: 61-4=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 87, 91, 13, 11 ]
99
[ "91-87=4", "13-4=9", "11*9=99" ]
Current State: 99:[87, 91, 13, 11], Operations: [] Exploring Operation: 91-87=4, Resulting Numbers: [13, 11, 4] Generated Node #2: [13, 11, 4] from Operation: 91-87=4 Current State: 99:[13, 11, 4], Operations: ['91-87=4'] Exploring Operation: 13-4=9, Resulting Numbers: [11, 9] Generated Node #3: [11, 9] from Operation: 13-4=9 Current State: 99:[11, 9], Operations: ['91-87=4', '13-4=9'] Exploring Operation: 11*9=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 32, 27, 4, 41 ]
99
[ "41-32=9", "27*4=108", "108-9=99" ]
Current State: 99:[32, 27, 4, 41], Operations: [] Exploring Operation: 41-32=9, Resulting Numbers: [27, 4, 9] Generated Node #2: [27, 4, 9] from Operation: 41-32=9 Current State: 99:[27, 4, 9], Operations: ['41-32=9'] Exploring Operation: 27*4=108, Resulting Numbers: [9, 108] Generated Node #3: [9, 108] from Operation: 27*4=108 Current State: 99:[9, 108], Operations: ['41-32=9', '27*4=108'] Exploring Operation: 108-9=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 82, 62, 13, 49 ]
82
[ "82+62=144", "13+49=62", "144-62=82" ]
Current State: 82:[82, 62, 13, 49], Operations: [] Exploring Operation: 82+62=144, Resulting Numbers: [13, 49, 144] Generated Node #2: [13, 49, 144] from Operation: 82+62=144 Current State: 82:[13, 49, 144], Operations: ['82+62=144'] Exploring Operation: 13+49=62, Resulting Numbers: [144, 62] Generated Node #3: [144, 62] from Operation: 13+49=62 Current State: 82:[144, 62], Operations: ['82+62=144', '13+49=62'] Exploring Operation: 144-62=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 79, 98, 96, 30 ]
19
[ "98-96=2", "30*2=60", "79-60=19" ]
Current State: 19:[79, 98, 96, 30], Operations: [] Exploring Operation: 98-96=2, Resulting Numbers: [79, 30, 2] Generated Node #2: [79, 30, 2] from Operation: 98-96=2 Current State: 19:[79, 30, 2], Operations: ['98-96=2'] Exploring Operation: 30*2=60, Resulting Numbers: [79, 60] Generated Node #3: [79, 60] from Operation: 30*2=60 Current State: 19:[79, 60], Operations: ['98-96=2', '30*2=60'] Exploring Operation: 79-60=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 3, 24, 25, 46 ]
97
[ "3*25=75", "46-24=22", "75+22=97" ]
Current State: 97:[3, 24, 25, 46], Operations: [] Exploring Operation: 3*25=75, Resulting Numbers: [24, 46, 75] Generated Node #2: [24, 46, 75] from Operation: 3*25=75 Current State: 97:[24, 46, 75], Operations: ['3*25=75'] Exploring Operation: 46-24=22, Resulting Numbers: [75, 22] Generated Node #3: [75, 22] from Operation: 46-24=22 Current State: 97:[75, 22], Operations: ['3*25=75', '46-24=22'] Exploring Operation: 75+22=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 86, 45, 89, 81 ]
98
[ "86-81=5", "45/5=9", "89+9=98" ]
Current State: 98:[86, 45, 89, 81], Operations: [] Exploring Operation: 86-81=5, Resulting Numbers: [45, 89, 5] Generated Node #2: [45, 89, 5] from Operation: 86-81=5 Current State: 98:[45, 89, 5], Operations: ['86-81=5'] Exploring Operation: 45/5=9, Resulting Numbers: [89, 9] Generated Node #3: [89, 9] from Operation: 45/5=9 Current State: 98:[89, 9], Operations: ['86-81=5', '45/5=9'] Exploring Operation: 89+9=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 70, 42, 23, 93 ]
43
[ "70+23=93", "93/93=1", "42+1=43" ]
Current State: 43:[70, 42, 23, 93], Operations: [] Exploring Operation: 70+23=93, Resulting Numbers: [42, 93, 93] Generated Node #2: [42, 93, 93] from Operation: 70+23=93 Current State: 43:[42, 93, 93], Operations: ['70+23=93'] Exploring Operation: 93/93=1, Resulting Numbers: [42, 1] Generated Node #3: [42, 1] from Operation: 93/93=1 Current State: 43:[42, 1], Operations: ['70+23=93', '93/93=1'] Exploring Operation: 42+1=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 77, 76, 55, 6 ]
22
[ "77*6=462", "76-55=21", "462/21=22" ]
Current State: 22:[77, 76, 55, 6], Operations: [] Exploring Operation: 77*6=462, Resulting Numbers: [76, 55, 462] Generated Node #2: [76, 55, 462] from Operation: 77*6=462 Current State: 22:[76, 55, 462], Operations: ['77*6=462'] Exploring Operation: 76-55=21, Resulting Numbers: [462, 21] Generated Node #3: [462, 21] from Operation: 76-55=21 Current State: 22:[462, 21], Operations: ['77*6=462', '76-55=21'] Exploring Operation: 462/21=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 52, 83, 86, 84 ]
57
[ "86-84=2", "52/2=26", "83-26=57" ]
Current State: 57:[52, 83, 86, 84], Operations: [] Exploring Operation: 86-84=2, Resulting Numbers: [52, 83, 2] Generated Node #2: [52, 83, 2] from Operation: 86-84=2 Current State: 57:[52, 83, 2], Operations: ['86-84=2'] Exploring Operation: 52/2=26, Resulting Numbers: [83, 26] Generated Node #3: [83, 26] from Operation: 52/2=26 Current State: 57:[83, 26], Operations: ['86-84=2', '52/2=26'] Exploring Operation: 83-26=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 60, 88, 66, 16 ]
61
[ "60*66=3960", "3960/88=45", "16+45=61" ]
Current State: 61:[60, 88, 66, 16], Operations: [] Exploring Operation: 60*66=3960, Resulting Numbers: [88, 16, 3960] Generated Node #2: [88, 16, 3960] from Operation: 60*66=3960 Current State: 61:[88, 16, 3960], Operations: ['60*66=3960'] Exploring Operation: 3960/88=45, Resulting Numbers: [16, 45] Generated Node #3: [16, 45] from Operation: 3960/88=45 Current State: 61:[16, 45], Operations: ['60*66=3960', '3960/88=45'] Exploring Operation: 16+45=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 10, 94, 86, 53 ]
96
[ "53-10=43", "86/43=2", "94+2=96" ]
Current State: 96:[10, 94, 86, 53], Operations: [] Exploring Operation: 53-10=43, Resulting Numbers: [94, 86, 43] Generated Node #2: [94, 86, 43] from Operation: 53-10=43 Current State: 96:[94, 86, 43], Operations: ['53-10=43'] Exploring Operation: 86/43=2, Resulting Numbers: [94, 2] Generated Node #3: [94, 2] from Operation: 86/43=2 Current State: 96:[94, 2], Operations: ['53-10=43', '86/43=2'] Exploring Operation: 94+2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 15, 17, 7, 13 ]
21
[ "15+13=28", "28/7=4", "17+4=21" ]
Current State: 21:[15, 17, 7, 13], Operations: [] Exploring Operation: 15+13=28, Resulting Numbers: [17, 7, 28] Generated Node #2: [17, 7, 28] from Operation: 15+13=28 Current State: 21:[17, 7, 28], Operations: ['15+13=28'] Exploring Operation: 28/7=4, Resulting Numbers: [17, 4] Generated Node #3: [17, 4] from Operation: 28/7=4 Current State: 21:[17, 4], Operations: ['15+13=28', '28/7=4'] Exploring Operation: 17+4=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 68, 62, 52, 70 ]
83
[ "70-68=2", "62/2=31", "52+31=83" ]
Current State: 83:[68, 62, 52, 70], Operations: [] Exploring Operation: 70-68=2, Resulting Numbers: [62, 52, 2] Generated Node #2: [62, 52, 2] from Operation: 70-68=2 Current State: 83:[62, 52, 2], Operations: ['70-68=2'] Exploring Operation: 62/2=31, Resulting Numbers: [52, 31] Generated Node #3: [52, 31] from Operation: 62/2=31 Current State: 83:[52, 31], Operations: ['70-68=2', '62/2=31'] Exploring Operation: 52+31=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 21, 54, 57, 19 ]
60
[ "21-19=2", "57*2=114", "114-54=60" ]
Current State: 60:[21, 54, 57, 19], Operations: [] Exploring Operation: 21-19=2, Resulting Numbers: [54, 57, 2] Generated Node #2: [54, 57, 2] from Operation: 21-19=2 Current State: 60:[54, 57, 2], Operations: ['21-19=2'] Exploring Operation: 57*2=114, Resulting Numbers: [54, 114] Generated Node #3: [54, 114] from Operation: 57*2=114 Current State: 60:[54, 114], Operations: ['21-19=2', '57*2=114'] Exploring Operation: 114-54=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 36, 66, 34, 49 ]
82
[ "36-34=2", "66/2=33", "49+33=82" ]
Current State: 82:[36, 66, 34, 49], Operations: [] Exploring Operation: 36-34=2, Resulting Numbers: [66, 49, 2] Generated Node #2: [66, 49, 2] from Operation: 36-34=2 Current State: 82:[66, 49, 2], Operations: ['36-34=2'] Exploring Operation: 66/2=33, Resulting Numbers: [49, 33] Generated Node #3: [49, 33] from Operation: 66/2=33 Current State: 82:[49, 33], Operations: ['36-34=2', '66/2=33'] Exploring Operation: 49+33=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 54, 2, 54, 98 ]
95
[ "54/54=1", "98-2=96", "96-1=95" ]
Current State: 95:[54, 2, 54, 98], Operations: [] Exploring Operation: 54/54=1, Resulting Numbers: [2, 98, 1] Generated Node #2: [2, 98, 1] from Operation: 54/54=1 Current State: 95:[2, 98, 1], Operations: ['54/54=1'] Exploring Operation: 98-2=96, Resulting Numbers: [1, 96] Generated Node #3: [1, 96] from Operation: 98-2=96 Current State: 95:[1, 96], Operations: ['54/54=1', '98-2=96'] Exploring Operation: 96-1=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 28, 89, 86, 56 ]
28
[ "28+56=84", "89-86=3", "84/3=28" ]
Current State: 28:[28, 89, 86, 56], Operations: [] Exploring Operation: 28+56=84, Resulting Numbers: [89, 86, 84] Generated Node #2: [89, 86, 84] from Operation: 28+56=84 Current State: 28:[89, 86, 84], Operations: ['28+56=84'] Exploring Operation: 89-86=3, Resulting Numbers: [84, 3] Generated Node #3: [84, 3] from Operation: 89-86=3 Current State: 28:[84, 3], Operations: ['28+56=84', '89-86=3'] Exploring Operation: 84/3=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 87, 2, 30, 35 ]
76
[ "87+30=117", "35+117=152", "152/2=76" ]
Current State: 76:[87, 2, 30, 35], Operations: [] Exploring Operation: 87+30=117, Resulting Numbers: [2, 35, 117] Generated Node #2: [2, 35, 117] from Operation: 87+30=117 Current State: 76:[2, 35, 117], Operations: ['87+30=117'] Exploring Operation: 35+117=152, Resulting Numbers: [2, 152] Generated Node #3: [2, 152] from Operation: 35+117=152 Current State: 76:[2, 152], Operations: ['87+30=117', '35+117=152'] Exploring Operation: 152/2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 79, 99, 21, 33 ]
34
[ "99-79=20", "21+33=54", "54-20=34" ]
Current State: 34:[79, 99, 21, 33], Operations: [] Exploring Operation: 99-79=20, Resulting Numbers: [21, 33, 20] Generated Node #2: [21, 33, 20] from Operation: 99-79=20 Current State: 34:[21, 33, 20], Operations: ['99-79=20'] Exploring Operation: 21+33=54, Resulting Numbers: [20, 54] Generated Node #3: [20, 54] from Operation: 21+33=54 Current State: 34:[20, 54], Operations: ['99-79=20', '21+33=54'] Exploring Operation: 54-20=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 47, 32, 51, 61 ]
88
[ "47*61=2867", "2867-51=2816", "2816/32=88" ]
Current State: 88:[47, 32, 51, 61], Operations: [] Exploring Operation: 47*61=2867, Resulting Numbers: [32, 51, 2867] Generated Node #2: [32, 51, 2867] from Operation: 47*61=2867 Current State: 88:[32, 51, 2867], Operations: ['47*61=2867'] Exploring Operation: 2867-51=2816, Resulting Numbers: [32, 2816] Generated Node #3: [32, 2816] from Operation: 2867-51=2816 Current State: 88:[32, 2816], Operations: ['47*61=2867', '2867-51=2816'] Exploring Operation: 2816/32=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4