Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 31, 7, 48, 12 ]
35
[ "48-31=17", "17-12=5", "7*5=35" ]
Current State: 35:[31, 7, 48, 12], Operations: [] Exploring Operation: 48-31=17, Resulting Numbers: [7, 12, 17] Generated Node #2: [7, 12, 17] from Operation: 48-31=17 Current State: 35:[7, 12, 17], Operations: ['48-31=17'] Exploring Operation: 17-12=5, Resulting Numbers: [7, 5] Generated Node #3: [7, 5] from Operation: 17-12=5 Current State: 35:[7, 5], Operations: ['48-31=17', '17-12=5'] Exploring Operation: 7*5=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 72, 63, 63, 36 ]
35
[ "72-36=36", "63/63=1", "36-1=35" ]
Current State: 35:[72, 63, 63, 36], Operations: [] Exploring Operation: 72-36=36, Resulting Numbers: [63, 63, 36] Generated Node #2: [63, 63, 36] from Operation: 72-36=36 Current State: 35:[63, 63, 36], Operations: ['72-36=36'] Exploring Operation: 63/63=1, Resulting Numbers: [36, 1] Generated Node #3: [36, 1] from Operation: 63/63=1 Current State: 35:[36, 1], Operations: ['72-36=36', '63/63=1'] Exploring Operation: 36-1=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 33, 18, 86, 3 ]
43
[ "33+3=36", "18*86=1548", "1548/36=43" ]
Current State: 43:[33, 18, 86, 3], Operations: [] Exploring Operation: 33+3=36, Resulting Numbers: [18, 86, 36] Generated Node #2: [18, 86, 36] from Operation: 33+3=36 Current State: 43:[18, 86, 36], Operations: ['33+3=36'] Exploring Operation: 18*86=1548, Resulting Numbers: [36, 1548] Generated Node #3: [36, 1548] from Operation: 18*86=1548 Current State: 43:[36, 1548], Operations: ['33+3=36', '18*86=1548'] Exploring Operation: 1548/36=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 89, 78, 83, 71 ]
90
[ "89-71=18", "83-78=5", "18*5=90" ]
Current State: 90:[89, 78, 83, 71], Operations: [] Exploring Operation: 89-71=18, Resulting Numbers: [78, 83, 18] Generated Node #2: [78, 83, 18] from Operation: 89-71=18 Current State: 90:[78, 83, 18], Operations: ['89-71=18'] Exploring Operation: 83-78=5, Resulting Numbers: [18, 5] Generated Node #3: [18, 5] from Operation: 83-78=5 Current State: 90:[18, 5], Operations: ['89-71=18', '83-78=5'] Exploring Operation: 18*5=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 42, 54, 6, 40 ]
56
[ "42+54=96", "96/6=16", "40+16=56" ]
Current State: 56:[42, 54, 6, 40], Operations: [] Exploring Operation: 42+54=96, Resulting Numbers: [6, 40, 96] Generated Node #2: [6, 40, 96] from Operation: 42+54=96 Current State: 56:[6, 40, 96], Operations: ['42+54=96'] Exploring Operation: 96/6=16, Resulting Numbers: [40, 16] Generated Node #3: [40, 16] from Operation: 96/6=16 Current State: 56:[40, 16], Operations: ['42+54=96', '96/6=16'] Exploring Operation: 40+16=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 10, 86, 96, 84 ]
79
[ "86+84=170", "170/10=17", "96-17=79" ]
Current State: 79:[10, 86, 96, 84], Operations: [] Exploring Operation: 86+84=170, Resulting Numbers: [10, 96, 170] Generated Node #2: [10, 96, 170] from Operation: 86+84=170 Current State: 79:[10, 96, 170], Operations: ['86+84=170'] Exploring Operation: 170/10=17, Resulting Numbers: [96, 17] Generated Node #3: [96, 17] from Operation: 170/10=17 Current State: 79:[96, 17], Operations: ['86+84=170', '170/10=17'] Exploring Operation: 96-17=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 8, 5, 84, 54 ]
14
[ "84-54=30", "30/5=6", "8+6=14" ]
Current State: 14:[8, 5, 84, 54], Operations: [] Exploring Operation: 84-54=30, Resulting Numbers: [8, 5, 30] Generated Node #2: [8, 5, 30] from Operation: 84-54=30 Current State: 14:[8, 5, 30], Operations: ['84-54=30'] Exploring Operation: 30/5=6, Resulting Numbers: [8, 6] Generated Node #3: [8, 6] from Operation: 30/5=6 Current State: 14:[8, 6], Operations: ['84-54=30', '30/5=6'] Exploring Operation: 8+6=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 17, 8, 98, 10 ]
35
[ "17+98=115", "8*10=80", "115-80=35" ]
Current State: 35:[17, 8, 98, 10], Operations: [] Exploring Operation: 17+98=115, Resulting Numbers: [8, 10, 115] Generated Node #2: [8, 10, 115] from Operation: 17+98=115 Current State: 35:[8, 10, 115], Operations: ['17+98=115'] Exploring Operation: 8*10=80, Resulting Numbers: [115, 80] Generated Node #3: [115, 80] from Operation: 8*10=80 Current State: 35:[115, 80], Operations: ['17+98=115', '8*10=80'] Exploring Operation: 115-80=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 94, 80, 34, 5 ]
44
[ "94-34=60", "80/5=16", "60-16=44" ]
Current State: 44:[94, 80, 34, 5], Operations: [] Exploring Operation: 94-34=60, Resulting Numbers: [80, 5, 60] Generated Node #2: [80, 5, 60] from Operation: 94-34=60 Current State: 44:[80, 5, 60], Operations: ['94-34=60'] Exploring Operation: 80/5=16, Resulting Numbers: [60, 16] Generated Node #3: [60, 16] from Operation: 80/5=16 Current State: 44:[60, 16], Operations: ['94-34=60', '80/5=16'] Exploring Operation: 60-16=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 46, 77, 81, 5 ]
98
[ "81-46=35", "5*35=175", "175-77=98" ]
Current State: 98:[46, 77, 81, 5], Operations: [] Exploring Operation: 81-46=35, Resulting Numbers: [77, 5, 35] Generated Node #2: [77, 5, 35] from Operation: 81-46=35 Current State: 98:[77, 5, 35], Operations: ['81-46=35'] Exploring Operation: 5*35=175, Resulting Numbers: [77, 175] Generated Node #3: [77, 175] from Operation: 5*35=175 Current State: 98:[77, 175], Operations: ['81-46=35', '5*35=175'] Exploring Operation: 175-77=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 48, 6, 18, 80 ]
36
[ "18*80=1440", "1440/48=30", "6+30=36" ]
Current State: 36:[48, 6, 18, 80], Operations: [] Exploring Operation: 18*80=1440, Resulting Numbers: [48, 6, 1440] Generated Node #2: [48, 6, 1440] from Operation: 18*80=1440 Current State: 36:[48, 6, 1440], Operations: ['18*80=1440'] Exploring Operation: 1440/48=30, Resulting Numbers: [6, 30] Generated Node #3: [6, 30] from Operation: 1440/48=30 Current State: 36:[6, 30], Operations: ['18*80=1440', '1440/48=30'] Exploring Operation: 6+30=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 15, 4, 1, 2 ]
57
[ "15+4=19", "1+2=3", "19*3=57" ]
Current State: 57:[15, 4, 1, 2], Operations: [] Exploring Operation: 15+4=19, Resulting Numbers: [1, 2, 19] Generated Node #2: [1, 2, 19] from Operation: 15+4=19 Current State: 57:[1, 2, 19], Operations: ['15+4=19'] Exploring Operation: 1+2=3, Resulting Numbers: [19, 3] Generated Node #3: [19, 3] from Operation: 1+2=3 Current State: 57:[19, 3], Operations: ['15+4=19', '1+2=3'] Exploring Operation: 19*3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 57, 18, 33, 75 ]
14
[ "57+75=132", "132/33=4", "18-4=14" ]
Current State: 14:[57, 18, 33, 75], Operations: [] Exploring Operation: 57+75=132, Resulting Numbers: [18, 33, 132] Generated Node #2: [18, 33, 132] from Operation: 57+75=132 Current State: 14:[18, 33, 132], Operations: ['57+75=132'] Exploring Operation: 132/33=4, Resulting Numbers: [18, 4] Generated Node #3: [18, 4] from Operation: 132/33=4 Current State: 14:[18, 4], Operations: ['57+75=132', '132/33=4'] Exploring Operation: 18-4=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 52, 88, 22, 2 ]
14
[ "52-22=30", "88/2=44", "44-30=14" ]
Current State: 14:[52, 88, 22, 2], Operations: [] Exploring Operation: 52-22=30, Resulting Numbers: [88, 2, 30] Generated Node #2: [88, 2, 30] from Operation: 52-22=30 Current State: 14:[88, 2, 30], Operations: ['52-22=30'] Exploring Operation: 88/2=44, Resulting Numbers: [30, 44] Generated Node #3: [30, 44] from Operation: 88/2=44 Current State: 14:[30, 44], Operations: ['52-22=30', '88/2=44'] Exploring Operation: 44-30=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 10, 56, 99, 54 ]
87
[ "10+56=66", "99+54=153", "153-66=87" ]
Current State: 87:[10, 56, 99, 54], Operations: [] Exploring Operation: 10+56=66, Resulting Numbers: [99, 54, 66] Generated Node #2: [99, 54, 66] from Operation: 10+56=66 Current State: 87:[99, 54, 66], Operations: ['10+56=66'] Exploring Operation: 99+54=153, Resulting Numbers: [66, 153] Generated Node #3: [66, 153] from Operation: 99+54=153 Current State: 87:[66, 153], Operations: ['10+56=66', '99+54=153'] Exploring Operation: 153-66=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 3, 45, 68, 30 ]
34
[ "45/3=15", "68*15=1020", "1020/30=34" ]
Current State: 34:[3, 45, 68, 30], Operations: [] Exploring Operation: 45/3=15, Resulting Numbers: [68, 30, 15] Generated Node #2: [68, 30, 15] from Operation: 45/3=15 Current State: 34:[68, 30, 15], Operations: ['45/3=15'] Exploring Operation: 68*15=1020, Resulting Numbers: [30, 1020] Generated Node #3: [30, 1020] from Operation: 68*15=1020 Current State: 34:[30, 1020], Operations: ['45/3=15', '68*15=1020'] Exploring Operation: 1020/30=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 5, 6, 86, 30 ]
22
[ "86-6=80", "30+80=110", "110/5=22" ]
Current State: 22:[5, 6, 86, 30], Operations: [] Exploring Operation: 86-6=80, Resulting Numbers: [5, 30, 80] Generated Node #2: [5, 30, 80] from Operation: 86-6=80 Current State: 22:[5, 30, 80], Operations: ['86-6=80'] Exploring Operation: 30+80=110, Resulting Numbers: [5, 110] Generated Node #3: [5, 110] from Operation: 30+80=110 Current State: 22:[5, 110], Operations: ['86-6=80', '30+80=110'] Exploring Operation: 110/5=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 90, 20, 87, 85 ]
65
[ "87-85=2", "90/2=45", "20+45=65" ]
Current State: 65:[90, 20, 87, 85], Operations: [] Exploring Operation: 87-85=2, Resulting Numbers: [90, 20, 2] Generated Node #2: [90, 20, 2] from Operation: 87-85=2 Current State: 65:[90, 20, 2], Operations: ['87-85=2'] Exploring Operation: 90/2=45, Resulting Numbers: [20, 45] Generated Node #3: [20, 45] from Operation: 90/2=45 Current State: 65:[20, 45], Operations: ['87-85=2', '90/2=45'] Exploring Operation: 20+45=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 23, 88, 99, 17 ]
77
[ "99*17=1683", "88+1683=1771", "1771/23=77" ]
Current State: 77:[23, 88, 99, 17], Operations: [] Exploring Operation: 99*17=1683, Resulting Numbers: [23, 88, 1683] Generated Node #2: [23, 88, 1683] from Operation: 99*17=1683 Current State: 77:[23, 88, 1683], Operations: ['99*17=1683'] Exploring Operation: 88+1683=1771, Resulting Numbers: [23, 1771] Generated Node #3: [23, 1771] from Operation: 88+1683=1771 Current State: 77:[23, 1771], Operations: ['99*17=1683', '88+1683=1771'] Exploring Operation: 1771/23=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 8, 10, 2, 89 ]
17
[ "2*89=178", "178-8=170", "170/10=17" ]
Current State: 17:[8, 10, 2, 89], Operations: [] Exploring Operation: 2*89=178, Resulting Numbers: [8, 10, 178] Generated Node #2: [8, 10, 178] from Operation: 2*89=178 Current State: 17:[8, 10, 178], Operations: ['2*89=178'] Exploring Operation: 178-8=170, Resulting Numbers: [10, 170] Generated Node #3: [10, 170] from Operation: 178-8=170 Current State: 17:[10, 170], Operations: ['2*89=178', '178-8=170'] Exploring Operation: 170/10=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 70, 35, 99, 88 ]
22
[ "70/35=2", "99-88=11", "2*11=22" ]
Current State: 22:[70, 35, 99, 88], Operations: [] Exploring Operation: 70/35=2, Resulting Numbers: [99, 88, 2] Generated Node #2: [99, 88, 2] from Operation: 70/35=2 Current State: 22:[99, 88, 2], Operations: ['70/35=2'] Exploring Operation: 99-88=11, Resulting Numbers: [2, 11] Generated Node #3: [2, 11] from Operation: 99-88=11 Current State: 22:[2, 11], Operations: ['70/35=2', '99-88=11'] Exploring Operation: 2*11=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 47, 99, 99, 86 ]
47
[ "99-99=0", "86*0=0", "47+0=47" ]
Current State: 47:[47, 99, 99, 86], Operations: [] Exploring Operation: 99-99=0, Resulting Numbers: [47, 86, 0] Generated Node #2: [47, 86, 0] from Operation: 99-99=0 Current State: 47:[47, 86, 0], Operations: ['99-99=0'] Exploring Operation: 86*0=0, Resulting Numbers: [47, 0] Generated Node #3: [47, 0] from Operation: 86*0=0 Current State: 47:[47, 0], Operations: ['99-99=0', '86*0=0'] Exploring Operation: 47+0=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 60, 98, 9, 82 ]
53
[ "98-60=38", "9+82=91", "91-38=53" ]
Current State: 53:[60, 98, 9, 82], Operations: [] Exploring Operation: 98-60=38, Resulting Numbers: [9, 82, 38] Generated Node #2: [9, 82, 38] from Operation: 98-60=38 Current State: 53:[9, 82, 38], Operations: ['98-60=38'] Exploring Operation: 9+82=91, Resulting Numbers: [38, 91] Generated Node #3: [38, 91] from Operation: 9+82=91 Current State: 53:[38, 91], Operations: ['98-60=38', '9+82=91'] Exploring Operation: 91-38=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 24, 12, 4, 52 ]
70
[ "24/4=6", "12+52=64", "6+64=70" ]
Current State: 70:[24, 12, 4, 52], Operations: [] Exploring Operation: 24/4=6, Resulting Numbers: [12, 52, 6] Generated Node #2: [12, 52, 6] from Operation: 24/4=6 Current State: 70:[12, 52, 6], Operations: ['24/4=6'] Exploring Operation: 12+52=64, Resulting Numbers: [6, 64] Generated Node #3: [6, 64] from Operation: 12+52=64 Current State: 70:[6, 64], Operations: ['24/4=6', '12+52=64'] Exploring Operation: 6+64=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 77, 87, 50, 44 ]
22
[ "77*50=3850", "87*44=3828", "3850-3828=22" ]
Current State: 22:[77, 87, 50, 44], Operations: [] Exploring Operation: 77*50=3850, Resulting Numbers: [87, 44, 3850] Generated Node #2: [87, 44, 3850] from Operation: 77*50=3850 Current State: 22:[87, 44, 3850], Operations: ['77*50=3850'] Exploring Operation: 87*44=3828, Resulting Numbers: [3850, 3828] Generated Node #3: [3850, 3828] from Operation: 87*44=3828 Current State: 22:[3850, 3828], Operations: ['77*50=3850', '87*44=3828'] Exploring Operation: 3850-3828=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 23, 74, 20, 25 ]
47
[ "25-23=2", "74+20=94", "94/2=47" ]
Current State: 47:[23, 74, 20, 25], Operations: [] Exploring Operation: 25-23=2, Resulting Numbers: [74, 20, 2] Generated Node #2: [74, 20, 2] from Operation: 25-23=2 Current State: 47:[74, 20, 2], Operations: ['25-23=2'] Exploring Operation: 74+20=94, Resulting Numbers: [2, 94] Generated Node #3: [2, 94] from Operation: 74+20=94 Current State: 47:[2, 94], Operations: ['25-23=2', '74+20=94'] Exploring Operation: 94/2=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 38, 62, 7, 58 ]
29
[ "38-7=31", "62/31=2", "58/2=29" ]
Current State: 29:[38, 62, 7, 58], Operations: [] Exploring Operation: 38-7=31, Resulting Numbers: [62, 58, 31] Generated Node #2: [62, 58, 31] from Operation: 38-7=31 Current State: 29:[62, 58, 31], Operations: ['38-7=31'] Exploring Operation: 62/31=2, Resulting Numbers: [58, 2] Generated Node #3: [58, 2] from Operation: 62/31=2 Current State: 29:[58, 2], Operations: ['38-7=31', '62/31=2'] Exploring Operation: 58/2=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 77, 14, 46, 66 ]
71
[ "77+14=91", "66-46=20", "91-20=71" ]
Current State: 71:[77, 14, 46, 66], Operations: [] Exploring Operation: 77+14=91, Resulting Numbers: [46, 66, 91] Generated Node #2: [46, 66, 91] from Operation: 77+14=91 Current State: 71:[46, 66, 91], Operations: ['77+14=91'] Exploring Operation: 66-46=20, Resulting Numbers: [91, 20] Generated Node #3: [91, 20] from Operation: 66-46=20 Current State: 71:[91, 20], Operations: ['77+14=91', '66-46=20'] Exploring Operation: 91-20=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 46, 30, 91, 92 ]
76
[ "46+30=76", "92-91=1", "76*1=76" ]
Current State: 76:[46, 30, 91, 92], Operations: [] Exploring Operation: 46+30=76, Resulting Numbers: [91, 92, 76] Generated Node #2: [91, 92, 76] from Operation: 46+30=76 Current State: 76:[91, 92, 76], Operations: ['46+30=76'] Exploring Operation: 92-91=1, Resulting Numbers: [76, 1] Generated Node #3: [76, 1] from Operation: 92-91=1 Current State: 76:[76, 1], Operations: ['46+30=76', '92-91=1'] Exploring Operation: 76*1=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 7, 56, 45, 33 ]
61
[ "56-7=49", "45-33=12", "49+12=61" ]
Current State: 61:[7, 56, 45, 33], Operations: [] Exploring Operation: 56-7=49, Resulting Numbers: [45, 33, 49] Generated Node #2: [45, 33, 49] from Operation: 56-7=49 Current State: 61:[45, 33, 49], Operations: ['56-7=49'] Exploring Operation: 45-33=12, Resulting Numbers: [49, 12] Generated Node #3: [49, 12] from Operation: 45-33=12 Current State: 61:[49, 12], Operations: ['56-7=49', '45-33=12'] Exploring Operation: 49+12=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 47, 2, 31, 65 ]
11
[ "47-2=45", "65-31=34", "45-34=11" ]
Current State: 11:[47, 2, 31, 65], Operations: [] Exploring Operation: 47-2=45, Resulting Numbers: [31, 65, 45] Generated Node #2: [31, 65, 45] from Operation: 47-2=45 Current State: 11:[31, 65, 45], Operations: ['47-2=45'] Exploring Operation: 65-31=34, Resulting Numbers: [45, 34] Generated Node #3: [45, 34] from Operation: 65-31=34 Current State: 11:[45, 34], Operations: ['47-2=45', '65-31=34'] Exploring Operation: 45-34=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 96, 24, 51, 58 ]
64
[ "58-24=34", "96*34=3264", "3264/51=64" ]
Current State: 64:[96, 24, 51, 58], Operations: [] Exploring Operation: 58-24=34, Resulting Numbers: [96, 51, 34] Generated Node #2: [96, 51, 34] from Operation: 58-24=34 Current State: 64:[96, 51, 34], Operations: ['58-24=34'] Exploring Operation: 96*34=3264, Resulting Numbers: [51, 3264] Generated Node #3: [51, 3264] from Operation: 96*34=3264 Current State: 64:[51, 3264], Operations: ['58-24=34', '96*34=3264'] Exploring Operation: 3264/51=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 8, 56, 48, 69 ]
56
[ "56+48=104", "104/8=13", "69-13=56" ]
Current State: 56:[8, 56, 48, 69], Operations: [] Exploring Operation: 56+48=104, Resulting Numbers: [8, 69, 104] Generated Node #2: [8, 69, 104] from Operation: 56+48=104 Current State: 56:[8, 69, 104], Operations: ['56+48=104'] Exploring Operation: 104/8=13, Resulting Numbers: [69, 13] Generated Node #3: [69, 13] from Operation: 104/8=13 Current State: 56:[69, 13], Operations: ['56+48=104', '104/8=13'] Exploring Operation: 69-13=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 96, 43, 76, 15 ]
19
[ "96+76=172", "172/43=4", "15+4=19" ]
Current State: 19:[96, 43, 76, 15], Operations: [] Exploring Operation: 96+76=172, Resulting Numbers: [43, 15, 172] Generated Node #2: [43, 15, 172] from Operation: 96+76=172 Current State: 19:[43, 15, 172], Operations: ['96+76=172'] Exploring Operation: 172/43=4, Resulting Numbers: [15, 4] Generated Node #3: [15, 4] from Operation: 172/43=4 Current State: 19:[15, 4], Operations: ['96+76=172', '172/43=4'] Exploring Operation: 15+4=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 60, 83, 84, 41 ]
18
[ "60+83=143", "84+41=125", "143-125=18" ]
Current State: 18:[60, 83, 84, 41], Operations: [] Exploring Operation: 60+83=143, Resulting Numbers: [84, 41, 143] Generated Node #2: [84, 41, 143] from Operation: 60+83=143 Current State: 18:[84, 41, 143], Operations: ['60+83=143'] Exploring Operation: 84+41=125, Resulting Numbers: [143, 125] Generated Node #3: [143, 125] from Operation: 84+41=125 Current State: 18:[143, 125], Operations: ['60+83=143', '84+41=125'] Exploring Operation: 143-125=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 30, 33, 86, 24 ]
65
[ "33-30=3", "86-24=62", "3+62=65" ]
Current State: 65:[30, 33, 86, 24], Operations: [] Exploring Operation: 33-30=3, Resulting Numbers: [86, 24, 3] Generated Node #2: [86, 24, 3] from Operation: 33-30=3 Current State: 65:[86, 24, 3], Operations: ['33-30=3'] Exploring Operation: 86-24=62, Resulting Numbers: [3, 62] Generated Node #3: [3, 62] from Operation: 86-24=62 Current State: 65:[3, 62], Operations: ['33-30=3', '86-24=62'] Exploring Operation: 3+62=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 34, 82, 68, 54 ]
30
[ "68/34=2", "82-54=28", "2+28=30" ]
Current State: 30:[34, 82, 68, 54], Operations: [] Exploring Operation: 68/34=2, Resulting Numbers: [82, 54, 2] Generated Node #2: [82, 54, 2] from Operation: 68/34=2 Current State: 30:[82, 54, 2], Operations: ['68/34=2'] Exploring Operation: 82-54=28, Resulting Numbers: [2, 28] Generated Node #3: [2, 28] from Operation: 82-54=28 Current State: 30:[2, 28], Operations: ['68/34=2', '82-54=28'] Exploring Operation: 2+28=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 61, 56, 88, 60 ]
100
[ "61-56=5", "60/5=12", "88+12=100" ]
Current State: 100:[61, 56, 88, 60], Operations: [] Exploring Operation: 61-56=5, Resulting Numbers: [88, 60, 5] Generated Node #2: [88, 60, 5] from Operation: 61-56=5 Current State: 100:[88, 60, 5], Operations: ['61-56=5'] Exploring Operation: 60/5=12, Resulting Numbers: [88, 12] Generated Node #3: [88, 12] from Operation: 60/5=12 Current State: 100:[88, 12], Operations: ['61-56=5', '60/5=12'] Exploring Operation: 88+12=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 1, 99, 82, 68 ]
51
[ "1*99=99", "82+68=150", "150-99=51" ]
Current State: 51:[1, 99, 82, 68], Operations: [] Exploring Operation: 1*99=99, Resulting Numbers: [82, 68, 99] Generated Node #2: [82, 68, 99] from Operation: 1*99=99 Current State: 51:[82, 68, 99], Operations: ['1*99=99'] Exploring Operation: 82+68=150, Resulting Numbers: [99, 150] Generated Node #3: [99, 150] from Operation: 82+68=150 Current State: 51:[99, 150], Operations: ['1*99=99', '82+68=150'] Exploring Operation: 150-99=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 60, 37, 25, 74 ]
83
[ "60+25=85", "74/37=2", "85-2=83" ]
Current State: 83:[60, 37, 25, 74], Operations: [] Exploring Operation: 60+25=85, Resulting Numbers: [37, 74, 85] Generated Node #2: [37, 74, 85] from Operation: 60+25=85 Current State: 83:[37, 74, 85], Operations: ['60+25=85'] Exploring Operation: 74/37=2, Resulting Numbers: [85, 2] Generated Node #3: [85, 2] from Operation: 74/37=2 Current State: 83:[85, 2], Operations: ['60+25=85', '74/37=2'] Exploring Operation: 85-2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 85, 59, 5, 1 ]
31
[ "85-59=26", "5*1=5", "26+5=31" ]
Current State: 31:[85, 59, 5, 1], Operations: [] Exploring Operation: 85-59=26, Resulting Numbers: [5, 1, 26] Generated Node #2: [5, 1, 26] from Operation: 85-59=26 Current State: 31:[5, 1, 26], Operations: ['85-59=26'] Exploring Operation: 5*1=5, Resulting Numbers: [26, 5] Generated Node #3: [26, 5] from Operation: 5*1=5 Current State: 31:[26, 5], Operations: ['85-59=26', '5*1=5'] Exploring Operation: 26+5=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 61, 83, 16, 93 ]
99
[ "83-61=22", "93-16=77", "22+77=99" ]
Current State: 99:[61, 83, 16, 93], Operations: [] Exploring Operation: 83-61=22, Resulting Numbers: [16, 93, 22] Generated Node #2: [16, 93, 22] from Operation: 83-61=22 Current State: 99:[16, 93, 22], Operations: ['83-61=22'] Exploring Operation: 93-16=77, Resulting Numbers: [22, 77] Generated Node #3: [22, 77] from Operation: 93-16=77 Current State: 99:[22, 77], Operations: ['83-61=22', '93-16=77'] Exploring Operation: 22+77=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 90, 75, 43, 41 ]
81
[ "90+75=165", "43+41=84", "165-84=81" ]
Current State: 81:[90, 75, 43, 41], Operations: [] Exploring Operation: 90+75=165, Resulting Numbers: [43, 41, 165] Generated Node #2: [43, 41, 165] from Operation: 90+75=165 Current State: 81:[43, 41, 165], Operations: ['90+75=165'] Exploring Operation: 43+41=84, Resulting Numbers: [165, 84] Generated Node #3: [165, 84] from Operation: 43+41=84 Current State: 81:[165, 84], Operations: ['90+75=165', '43+41=84'] Exploring Operation: 165-84=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 7, 57, 11, 82 ]
62
[ "7*11=77", "57+82=139", "139-77=62" ]
Current State: 62:[7, 57, 11, 82], Operations: [] Exploring Operation: 7*11=77, Resulting Numbers: [57, 82, 77] Generated Node #2: [57, 82, 77] from Operation: 7*11=77 Current State: 62:[57, 82, 77], Operations: ['7*11=77'] Exploring Operation: 57+82=139, Resulting Numbers: [77, 139] Generated Node #3: [77, 139] from Operation: 57+82=139 Current State: 62:[77, 139], Operations: ['7*11=77', '57+82=139'] Exploring Operation: 139-77=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 64, 28, 73, 91 ]
18
[ "64-28=36", "91-73=18", "36-18=18" ]
Current State: 18:[64, 28, 73, 91], Operations: [] Exploring Operation: 64-28=36, Resulting Numbers: [73, 91, 36] Generated Node #2: [73, 91, 36] from Operation: 64-28=36 Current State: 18:[73, 91, 36], Operations: ['64-28=36'] Exploring Operation: 91-73=18, Resulting Numbers: [36, 18] Generated Node #3: [36, 18] from Operation: 91-73=18 Current State: 18:[36, 18], Operations: ['64-28=36', '91-73=18'] Exploring Operation: 36-18=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 61, 50, 95, 3 ]
87
[ "61-50=11", "95+3=98", "98-11=87" ]
Current State: 87:[61, 50, 95, 3], Operations: [] Exploring Operation: 61-50=11, Resulting Numbers: [95, 3, 11] Generated Node #2: [95, 3, 11] from Operation: 61-50=11 Current State: 87:[95, 3, 11], Operations: ['61-50=11'] Exploring Operation: 95+3=98, Resulting Numbers: [11, 98] Generated Node #3: [11, 98] from Operation: 95+3=98 Current State: 87:[11, 98], Operations: ['61-50=11', '95+3=98'] Exploring Operation: 98-11=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 26, 6, 92, 6 ]
82
[ "26+92=118", "6*6=36", "118-36=82" ]
Current State: 82:[26, 6, 92, 6], Operations: [] Exploring Operation: 26+92=118, Resulting Numbers: [6, 6, 118] Generated Node #2: [6, 6, 118] from Operation: 26+92=118 Current State: 82:[6, 6, 118], Operations: ['26+92=118'] Exploring Operation: 6*6=36, Resulting Numbers: [118, 36] Generated Node #3: [118, 36] from Operation: 6*6=36 Current State: 82:[118, 36], Operations: ['26+92=118', '6*6=36'] Exploring Operation: 118-36=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 92, 13, 26, 45 ]
45
[ "92-45=47", "26/13=2", "47-2=45" ]
Current State: 45:[92, 13, 26, 45], Operations: [] Exploring Operation: 92-45=47, Resulting Numbers: [13, 26, 47] Generated Node #2: [13, 26, 47] from Operation: 92-45=47 Current State: 45:[13, 26, 47], Operations: ['92-45=47'] Exploring Operation: 26/13=2, Resulting Numbers: [47, 2] Generated Node #3: [47, 2] from Operation: 26/13=2 Current State: 45:[47, 2], Operations: ['92-45=47', '26/13=2'] Exploring Operation: 47-2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 54, 27, 92, 23 ]
88
[ "54-27=27", "92+23=115", "115-27=88" ]
Current State: 88:[54, 27, 92, 23], Operations: [] Exploring Operation: 54-27=27, Resulting Numbers: [92, 23, 27] Generated Node #2: [92, 23, 27] from Operation: 54-27=27 Current State: 88:[92, 23, 27], Operations: ['54-27=27'] Exploring Operation: 92+23=115, Resulting Numbers: [27, 115] Generated Node #3: [27, 115] from Operation: 92+23=115 Current State: 88:[27, 115], Operations: ['54-27=27', '92+23=115'] Exploring Operation: 115-27=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 6, 11, 21, 2 ]
12
[ "6*11=66", "66/2=33", "33-21=12" ]
Current State: 12:[6, 11, 21, 2], Operations: [] Exploring Operation: 6*11=66, Resulting Numbers: [21, 2, 66] Generated Node #2: [21, 2, 66] from Operation: 6*11=66 Current State: 12:[21, 2, 66], Operations: ['6*11=66'] Exploring Operation: 66/2=33, Resulting Numbers: [21, 33] Generated Node #3: [21, 33] from Operation: 66/2=33 Current State: 12:[21, 33], Operations: ['6*11=66', '66/2=33'] Exploring Operation: 33-21=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 88, 2, 43, 4 ]
76
[ "43-2=41", "4*41=164", "164-88=76" ]
Current State: 76:[88, 2, 43, 4], Operations: [] Exploring Operation: 43-2=41, Resulting Numbers: [88, 4, 41] Generated Node #2: [88, 4, 41] from Operation: 43-2=41 Current State: 76:[88, 4, 41], Operations: ['43-2=41'] Exploring Operation: 4*41=164, Resulting Numbers: [88, 164] Generated Node #3: [88, 164] from Operation: 4*41=164 Current State: 76:[88, 164], Operations: ['43-2=41', '4*41=164'] Exploring Operation: 164-88=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 36, 35, 81, 77 ]
99
[ "81-36=45", "77*45=3465", "3465/35=99" ]
Current State: 99:[36, 35, 81, 77], Operations: [] Exploring Operation: 81-36=45, Resulting Numbers: [35, 77, 45] Generated Node #2: [35, 77, 45] from Operation: 81-36=45 Current State: 99:[35, 77, 45], Operations: ['81-36=45'] Exploring Operation: 77*45=3465, Resulting Numbers: [35, 3465] Generated Node #3: [35, 3465] from Operation: 77*45=3465 Current State: 99:[35, 3465], Operations: ['81-36=45', '77*45=3465'] Exploring Operation: 3465/35=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 66, 38, 26, 27 ]
31
[ "66+38=104", "104/26=4", "27+4=31" ]
Current State: 31:[66, 38, 26, 27], Operations: [] Exploring Operation: 66+38=104, Resulting Numbers: [26, 27, 104] Generated Node #2: [26, 27, 104] from Operation: 66+38=104 Current State: 31:[26, 27, 104], Operations: ['66+38=104'] Exploring Operation: 104/26=4, Resulting Numbers: [27, 4] Generated Node #3: [27, 4] from Operation: 104/26=4 Current State: 31:[27, 4], Operations: ['66+38=104', '104/26=4'] Exploring Operation: 27+4=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 35, 40, 75, 29 ]
91
[ "75+29=104", "35*104=3640", "3640/40=91" ]
Current State: 91:[35, 40, 75, 29], Operations: [] Exploring Operation: 75+29=104, Resulting Numbers: [35, 40, 104] Generated Node #2: [35, 40, 104] from Operation: 75+29=104 Current State: 91:[35, 40, 104], Operations: ['75+29=104'] Exploring Operation: 35*104=3640, Resulting Numbers: [40, 3640] Generated Node #3: [40, 3640] from Operation: 35*104=3640 Current State: 91:[40, 3640], Operations: ['75+29=104', '35*104=3640'] Exploring Operation: 3640/40=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 24, 7, 35, 27 ]
21
[ "24*7=168", "35-27=8", "168/8=21" ]
Current State: 21:[24, 7, 35, 27], Operations: [] Exploring Operation: 24*7=168, Resulting Numbers: [35, 27, 168] Generated Node #2: [35, 27, 168] from Operation: 24*7=168 Current State: 21:[35, 27, 168], Operations: ['24*7=168'] Exploring Operation: 35-27=8, Resulting Numbers: [168, 8] Generated Node #3: [168, 8] from Operation: 35-27=8 Current State: 21:[168, 8], Operations: ['24*7=168', '35-27=8'] Exploring Operation: 168/8=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 7, 24, 56, 93 ]
99
[ "56/7=8", "24*8=192", "192-93=99" ]
Current State: 99:[7, 24, 56, 93], Operations: [] Exploring Operation: 56/7=8, Resulting Numbers: [24, 93, 8] Generated Node #2: [24, 93, 8] from Operation: 56/7=8 Current State: 99:[24, 93, 8], Operations: ['56/7=8'] Exploring Operation: 24*8=192, Resulting Numbers: [93, 192] Generated Node #3: [93, 192] from Operation: 24*8=192 Current State: 99:[93, 192], Operations: ['56/7=8', '24*8=192'] Exploring Operation: 192-93=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 49, 2, 53, 19 ]
87
[ "49+19=68", "68/2=34", "53+34=87" ]
Current State: 87:[49, 2, 53, 19], Operations: [] Exploring Operation: 49+19=68, Resulting Numbers: [2, 53, 68] Generated Node #2: [2, 53, 68] from Operation: 49+19=68 Current State: 87:[2, 53, 68], Operations: ['49+19=68'] Exploring Operation: 68/2=34, Resulting Numbers: [53, 34] Generated Node #3: [53, 34] from Operation: 68/2=34 Current State: 87:[53, 34], Operations: ['49+19=68', '68/2=34'] Exploring Operation: 53+34=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 56, 98, 10, 9 ]
42
[ "98-56=42", "10-9=1", "42*1=42" ]
Current State: 42:[56, 98, 10, 9], Operations: [] Exploring Operation: 98-56=42, Resulting Numbers: [10, 9, 42] Generated Node #2: [10, 9, 42] from Operation: 98-56=42 Current State: 42:[10, 9, 42], Operations: ['98-56=42'] Exploring Operation: 10-9=1, Resulting Numbers: [42, 1] Generated Node #3: [42, 1] from Operation: 10-9=1 Current State: 42:[42, 1], Operations: ['98-56=42', '10-9=1'] Exploring Operation: 42*1=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 96, 14, 19, 93 ]
36
[ "96+14=110", "93-19=74", "110-74=36" ]
Current State: 36:[96, 14, 19, 93], Operations: [] Exploring Operation: 96+14=110, Resulting Numbers: [19, 93, 110] Generated Node #2: [19, 93, 110] from Operation: 96+14=110 Current State: 36:[19, 93, 110], Operations: ['96+14=110'] Exploring Operation: 93-19=74, Resulting Numbers: [110, 74] Generated Node #3: [110, 74] from Operation: 93-19=74 Current State: 36:[110, 74], Operations: ['96+14=110', '93-19=74'] Exploring Operation: 110-74=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 82, 76, 64, 28 ]
98
[ "82-76=6", "64+28=92", "6+92=98" ]
Current State: 98:[82, 76, 64, 28], Operations: [] Exploring Operation: 82-76=6, Resulting Numbers: [64, 28, 6] Generated Node #2: [64, 28, 6] from Operation: 82-76=6 Current State: 98:[64, 28, 6], Operations: ['82-76=6'] Exploring Operation: 64+28=92, Resulting Numbers: [6, 92] Generated Node #3: [6, 92] from Operation: 64+28=92 Current State: 98:[6, 92], Operations: ['82-76=6', '64+28=92'] Exploring Operation: 6+92=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 6, 59, 62, 66 ]
75
[ "59-6=53", "62+66=128", "128-53=75" ]
Current State: 75:[6, 59, 62, 66], Operations: [] Exploring Operation: 59-6=53, Resulting Numbers: [62, 66, 53] Generated Node #2: [62, 66, 53] from Operation: 59-6=53 Current State: 75:[62, 66, 53], Operations: ['59-6=53'] Exploring Operation: 62+66=128, Resulting Numbers: [53, 128] Generated Node #3: [53, 128] from Operation: 62+66=128 Current State: 75:[53, 128], Operations: ['59-6=53', '62+66=128'] Exploring Operation: 128-53=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 10, 96, 14, 59 ]
35
[ "14-10=4", "96/4=24", "59-24=35" ]
Current State: 35:[10, 96, 14, 59], Operations: [] Exploring Operation: 14-10=4, Resulting Numbers: [96, 59, 4] Generated Node #2: [96, 59, 4] from Operation: 14-10=4 Current State: 35:[96, 59, 4], Operations: ['14-10=4'] Exploring Operation: 96/4=24, Resulting Numbers: [59, 24] Generated Node #3: [59, 24] from Operation: 96/4=24 Current State: 35:[59, 24], Operations: ['14-10=4', '96/4=24'] Exploring Operation: 59-24=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 36, 69, 57, 55 ]
87
[ "57-55=2", "36/2=18", "69+18=87" ]
Current State: 87:[36, 69, 57, 55], Operations: [] Exploring Operation: 57-55=2, Resulting Numbers: [36, 69, 2] Generated Node #2: [36, 69, 2] from Operation: 57-55=2 Current State: 87:[36, 69, 2], Operations: ['57-55=2'] Exploring Operation: 36/2=18, Resulting Numbers: [69, 18] Generated Node #3: [69, 18] from Operation: 36/2=18 Current State: 87:[69, 18], Operations: ['57-55=2', '36/2=18'] Exploring Operation: 69+18=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 90, 15, 62, 7 ]
91
[ "90-15=75", "75-62=13", "7*13=91" ]
Current State: 91:[90, 15, 62, 7], Operations: [] Exploring Operation: 90-15=75, Resulting Numbers: [62, 7, 75] Generated Node #2: [62, 7, 75] from Operation: 90-15=75 Current State: 91:[62, 7, 75], Operations: ['90-15=75'] Exploring Operation: 75-62=13, Resulting Numbers: [7, 13] Generated Node #3: [7, 13] from Operation: 75-62=13 Current State: 91:[7, 13], Operations: ['90-15=75', '75-62=13'] Exploring Operation: 7*13=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 38, 63, 85, 18 ]
78
[ "63-38=25", "85+18=103", "103-25=78" ]
Current State: 78:[38, 63, 85, 18], Operations: [] Exploring Operation: 63-38=25, Resulting Numbers: [85, 18, 25] Generated Node #2: [85, 18, 25] from Operation: 63-38=25 Current State: 78:[85, 18, 25], Operations: ['63-38=25'] Exploring Operation: 85+18=103, Resulting Numbers: [25, 103] Generated Node #3: [25, 103] from Operation: 85+18=103 Current State: 78:[25, 103], Operations: ['63-38=25', '85+18=103'] Exploring Operation: 103-25=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 7, 36, 13, 25 ]
52
[ "36-7=29", "29-25=4", "13*4=52" ]
Current State: 52:[7, 36, 13, 25], Operations: [] Exploring Operation: 36-7=29, Resulting Numbers: [13, 25, 29] Generated Node #2: [13, 25, 29] from Operation: 36-7=29 Current State: 52:[13, 25, 29], Operations: ['36-7=29'] Exploring Operation: 29-25=4, Resulting Numbers: [13, 4] Generated Node #3: [13, 4] from Operation: 29-25=4 Current State: 52:[13, 4], Operations: ['36-7=29', '29-25=4'] Exploring Operation: 13*4=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 6, 42, 20, 12 ]
94
[ "6*12=72", "42-20=22", "72+22=94" ]
Current State: 94:[6, 42, 20, 12], Operations: [] Exploring Operation: 6*12=72, Resulting Numbers: [42, 20, 72] Generated Node #2: [42, 20, 72] from Operation: 6*12=72 Current State: 94:[42, 20, 72], Operations: ['6*12=72'] Exploring Operation: 42-20=22, Resulting Numbers: [72, 22] Generated Node #3: [72, 22] from Operation: 42-20=22 Current State: 94:[72, 22], Operations: ['6*12=72', '42-20=22'] Exploring Operation: 72+22=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 10, 36, 13, 52 ]
13
[ "36-10=26", "52-13=39", "39-26=13" ]
Current State: 13:[10, 36, 13, 52], Operations: [] Exploring Operation: 36-10=26, Resulting Numbers: [13, 52, 26] Generated Node #2: [13, 52, 26] from Operation: 36-10=26 Current State: 13:[13, 52, 26], Operations: ['36-10=26'] Exploring Operation: 52-13=39, Resulting Numbers: [26, 39] Generated Node #3: [26, 39] from Operation: 52-13=39 Current State: 13:[26, 39], Operations: ['36-10=26', '52-13=39'] Exploring Operation: 39-26=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 21, 13, 26, 75 ]
93
[ "21-13=8", "26+75=101", "101-8=93" ]
Current State: 93:[21, 13, 26, 75], Operations: [] Exploring Operation: 21-13=8, Resulting Numbers: [26, 75, 8] Generated Node #2: [26, 75, 8] from Operation: 21-13=8 Current State: 93:[26, 75, 8], Operations: ['21-13=8'] Exploring Operation: 26+75=101, Resulting Numbers: [8, 101] Generated Node #3: [8, 101] from Operation: 26+75=101 Current State: 93:[8, 101], Operations: ['21-13=8', '26+75=101'] Exploring Operation: 101-8=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 33, 79, 80, 1 ]
32
[ "33+79=112", "80*1=80", "112-80=32" ]
Current State: 32:[33, 79, 80, 1], Operations: [] Exploring Operation: 33+79=112, Resulting Numbers: [80, 1, 112] Generated Node #2: [80, 1, 112] from Operation: 33+79=112 Current State: 32:[80, 1, 112], Operations: ['33+79=112'] Exploring Operation: 80*1=80, Resulting Numbers: [112, 80] Generated Node #3: [112, 80] from Operation: 80*1=80 Current State: 32:[112, 80], Operations: ['33+79=112', '80*1=80'] Exploring Operation: 112-80=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 23, 67, 61, 51 ]
22
[ "23+67=90", "61+51=112", "112-90=22" ]
Current State: 22:[23, 67, 61, 51], Operations: [] Exploring Operation: 23+67=90, Resulting Numbers: [61, 51, 90] Generated Node #2: [61, 51, 90] from Operation: 23+67=90 Current State: 22:[61, 51, 90], Operations: ['23+67=90'] Exploring Operation: 61+51=112, Resulting Numbers: [90, 112] Generated Node #3: [90, 112] from Operation: 61+51=112 Current State: 22:[90, 112], Operations: ['23+67=90', '61+51=112'] Exploring Operation: 112-90=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 29, 75, 56, 99 ]
51
[ "29+75=104", "56+99=155", "155-104=51" ]
Current State: 51:[29, 75, 56, 99], Operations: [] Exploring Operation: 29+75=104, Resulting Numbers: [56, 99, 104] Generated Node #2: [56, 99, 104] from Operation: 29+75=104 Current State: 51:[56, 99, 104], Operations: ['29+75=104'] Exploring Operation: 56+99=155, Resulting Numbers: [104, 155] Generated Node #3: [104, 155] from Operation: 56+99=155 Current State: 51:[104, 155], Operations: ['29+75=104', '56+99=155'] Exploring Operation: 155-104=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 37, 69, 76, 19 ]
89
[ "69-37=32", "76-19=57", "32+57=89" ]
Current State: 89:[37, 69, 76, 19], Operations: [] Exploring Operation: 69-37=32, Resulting Numbers: [76, 19, 32] Generated Node #2: [76, 19, 32] from Operation: 69-37=32 Current State: 89:[76, 19, 32], Operations: ['69-37=32'] Exploring Operation: 76-19=57, Resulting Numbers: [32, 57] Generated Node #3: [32, 57] from Operation: 76-19=57 Current State: 89:[32, 57], Operations: ['69-37=32', '76-19=57'] Exploring Operation: 32+57=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 20, 71, 57, 16 ]
18
[ "20+71=91", "57+16=73", "91-73=18" ]
Current State: 18:[20, 71, 57, 16], Operations: [] Exploring Operation: 20+71=91, Resulting Numbers: [57, 16, 91] Generated Node #2: [57, 16, 91] from Operation: 20+71=91 Current State: 18:[57, 16, 91], Operations: ['20+71=91'] Exploring Operation: 57+16=73, Resulting Numbers: [91, 73] Generated Node #3: [91, 73] from Operation: 57+16=73 Current State: 18:[91, 73], Operations: ['20+71=91', '57+16=73'] Exploring Operation: 91-73=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 13, 32, 56, 6 ]
52
[ "56-32=24", "13*24=312", "312/6=52" ]
Current State: 52:[13, 32, 56, 6], Operations: [] Exploring Operation: 56-32=24, Resulting Numbers: [13, 6, 24] Generated Node #2: [13, 6, 24] from Operation: 56-32=24 Current State: 52:[13, 6, 24], Operations: ['56-32=24'] Exploring Operation: 13*24=312, Resulting Numbers: [6, 312] Generated Node #3: [6, 312] from Operation: 13*24=312 Current State: 52:[6, 312], Operations: ['56-32=24', '13*24=312'] Exploring Operation: 312/6=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 59, 39, 97, 56 ]
20
[ "59-56=3", "39*3=117", "117-97=20" ]
Current State: 20:[59, 39, 97, 56], Operations: [] Exploring Operation: 59-56=3, Resulting Numbers: [39, 97, 3] Generated Node #2: [39, 97, 3] from Operation: 59-56=3 Current State: 20:[39, 97, 3], Operations: ['59-56=3'] Exploring Operation: 39*3=117, Resulting Numbers: [97, 117] Generated Node #3: [97, 117] from Operation: 39*3=117 Current State: 20:[97, 117], Operations: ['59-56=3', '39*3=117'] Exploring Operation: 117-97=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 50, 3, 17, 90 ]
79
[ "50-17=33", "33/3=11", "90-11=79" ]
Current State: 79:[50, 3, 17, 90], Operations: [] Exploring Operation: 50-17=33, Resulting Numbers: [3, 90, 33] Generated Node #2: [3, 90, 33] from Operation: 50-17=33 Current State: 79:[3, 90, 33], Operations: ['50-17=33'] Exploring Operation: 33/3=11, Resulting Numbers: [90, 11] Generated Node #3: [90, 11] from Operation: 33/3=11 Current State: 79:[90, 11], Operations: ['50-17=33', '33/3=11'] Exploring Operation: 90-11=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 38, 94, 88, 49 ]
95
[ "94-38=56", "88-49=39", "56+39=95" ]
Current State: 95:[38, 94, 88, 49], Operations: [] Exploring Operation: 94-38=56, Resulting Numbers: [88, 49, 56] Generated Node #2: [88, 49, 56] from Operation: 94-38=56 Current State: 95:[88, 49, 56], Operations: ['94-38=56'] Exploring Operation: 88-49=39, Resulting Numbers: [56, 39] Generated Node #3: [56, 39] from Operation: 88-49=39 Current State: 95:[56, 39], Operations: ['94-38=56', '88-49=39'] Exploring Operation: 56+39=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 27, 10, 71, 66 ]
23
[ "71-66=5", "10*5=50", "50-27=23" ]
Current State: 23:[27, 10, 71, 66], Operations: [] Exploring Operation: 71-66=5, Resulting Numbers: [27, 10, 5] Generated Node #2: [27, 10, 5] from Operation: 71-66=5 Current State: 23:[27, 10, 5], Operations: ['71-66=5'] Exploring Operation: 10*5=50, Resulting Numbers: [27, 50] Generated Node #3: [27, 50] from Operation: 10*5=50 Current State: 23:[27, 50], Operations: ['71-66=5', '10*5=50'] Exploring Operation: 50-27=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 2, 64, 57, 60 ]
55
[ "64-2=62", "57+60=117", "117-62=55" ]
Current State: 55:[2, 64, 57, 60], Operations: [] Exploring Operation: 64-2=62, Resulting Numbers: [57, 60, 62] Generated Node #2: [57, 60, 62] from Operation: 64-2=62 Current State: 55:[57, 60, 62], Operations: ['64-2=62'] Exploring Operation: 57+60=117, Resulting Numbers: [62, 117] Generated Node #3: [62, 117] from Operation: 57+60=117 Current State: 55:[62, 117], Operations: ['64-2=62', '57+60=117'] Exploring Operation: 117-62=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 5, 86, 6, 72 ]
40
[ "86-6=80", "80-72=8", "5*8=40" ]
Current State: 40:[5, 86, 6, 72], Operations: [] Exploring Operation: 86-6=80, Resulting Numbers: [5, 72, 80] Generated Node #2: [5, 72, 80] from Operation: 86-6=80 Current State: 40:[5, 72, 80], Operations: ['86-6=80'] Exploring Operation: 80-72=8, Resulting Numbers: [5, 8] Generated Node #3: [5, 8] from Operation: 80-72=8 Current State: 40:[5, 8], Operations: ['86-6=80', '80-72=8'] Exploring Operation: 5*8=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 14, 41, 67, 81 ]
41
[ "14+41=55", "81-67=14", "55-14=41" ]
Current State: 41:[14, 41, 67, 81], Operations: [] Exploring Operation: 14+41=55, Resulting Numbers: [67, 81, 55] Generated Node #2: [67, 81, 55] from Operation: 14+41=55 Current State: 41:[67, 81, 55], Operations: ['14+41=55'] Exploring Operation: 81-67=14, Resulting Numbers: [55, 14] Generated Node #3: [55, 14] from Operation: 81-67=14 Current State: 41:[55, 14], Operations: ['14+41=55', '81-67=14'] Exploring Operation: 55-14=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 33, 53, 38, 58 ]
10
[ "33+53=86", "38+58=96", "96-86=10" ]
Current State: 10:[33, 53, 38, 58], Operations: [] Exploring Operation: 33+53=86, Resulting Numbers: [38, 58, 86] Generated Node #2: [38, 58, 86] from Operation: 33+53=86 Current State: 10:[38, 58, 86], Operations: ['33+53=86'] Exploring Operation: 38+58=96, Resulting Numbers: [86, 96] Generated Node #3: [86, 96] from Operation: 38+58=96 Current State: 10:[86, 96], Operations: ['33+53=86', '38+58=96'] Exploring Operation: 96-86=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 38, 3, 7, 34 ]
57
[ "38+7=45", "3*34=102", "102-45=57" ]
Current State: 57:[38, 3, 7, 34], Operations: [] Exploring Operation: 38+7=45, Resulting Numbers: [3, 34, 45] Generated Node #2: [3, 34, 45] from Operation: 38+7=45 Current State: 57:[3, 34, 45], Operations: ['38+7=45'] Exploring Operation: 3*34=102, Resulting Numbers: [45, 102] Generated Node #3: [45, 102] from Operation: 3*34=102 Current State: 57:[45, 102], Operations: ['38+7=45', '3*34=102'] Exploring Operation: 102-45=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 93, 35, 37, 68 ]
90
[ "37+68=105", "105/35=3", "93-3=90" ]
Current State: 90:[93, 35, 37, 68], Operations: [] Exploring Operation: 37+68=105, Resulting Numbers: [93, 35, 105] Generated Node #2: [93, 35, 105] from Operation: 37+68=105 Current State: 90:[93, 35, 105], Operations: ['37+68=105'] Exploring Operation: 105/35=3, Resulting Numbers: [93, 3] Generated Node #3: [93, 3] from Operation: 105/35=3 Current State: 90:[93, 3], Operations: ['37+68=105', '105/35=3'] Exploring Operation: 93-3=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 59, 68, 12, 31 ]
28
[ "68-59=9", "31-12=19", "9+19=28" ]
Current State: 28:[59, 68, 12, 31], Operations: [] Exploring Operation: 68-59=9, Resulting Numbers: [12, 31, 9] Generated Node #2: [12, 31, 9] from Operation: 68-59=9 Current State: 28:[12, 31, 9], Operations: ['68-59=9'] Exploring Operation: 31-12=19, Resulting Numbers: [9, 19] Generated Node #3: [9, 19] from Operation: 31-12=19 Current State: 28:[9, 19], Operations: ['68-59=9', '31-12=19'] Exploring Operation: 9+19=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 90, 69, 38, 51 ]
99
[ "90*38=3420", "69*51=3519", "3519-3420=99" ]
Current State: 99:[90, 69, 38, 51], Operations: [] Exploring Operation: 90*38=3420, Resulting Numbers: [69, 51, 3420] Generated Node #2: [69, 51, 3420] from Operation: 90*38=3420 Current State: 99:[69, 51, 3420], Operations: ['90*38=3420'] Exploring Operation: 69*51=3519, Resulting Numbers: [3420, 3519] Generated Node #3: [3420, 3519] from Operation: 69*51=3519 Current State: 99:[3420, 3519], Operations: ['90*38=3420', '69*51=3519'] Exploring Operation: 3519-3420=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 92, 46, 35, 65 ]
98
[ "92/46=2", "35+65=100", "100-2=98" ]
Current State: 98:[92, 46, 35, 65], Operations: [] Exploring Operation: 92/46=2, Resulting Numbers: [35, 65, 2] Generated Node #2: [35, 65, 2] from Operation: 92/46=2 Current State: 98:[35, 65, 2], Operations: ['92/46=2'] Exploring Operation: 35+65=100, Resulting Numbers: [2, 100] Generated Node #3: [2, 100] from Operation: 35+65=100 Current State: 98:[2, 100], Operations: ['92/46=2', '35+65=100'] Exploring Operation: 100-2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 76, 88, 94, 27 ]
97
[ "76+88=164", "94-27=67", "164-67=97" ]
Current State: 97:[76, 88, 94, 27], Operations: [] Exploring Operation: 76+88=164, Resulting Numbers: [94, 27, 164] Generated Node #2: [94, 27, 164] from Operation: 76+88=164 Current State: 97:[94, 27, 164], Operations: ['76+88=164'] Exploring Operation: 94-27=67, Resulting Numbers: [164, 67] Generated Node #3: [164, 67] from Operation: 94-27=67 Current State: 97:[164, 67], Operations: ['76+88=164', '94-27=67'] Exploring Operation: 164-67=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 50, 72, 64, 96 ]
33
[ "72-50=22", "96*22=2112", "2112/64=33" ]
Current State: 33:[50, 72, 64, 96], Operations: [] Exploring Operation: 72-50=22, Resulting Numbers: [64, 96, 22] Generated Node #2: [64, 96, 22] from Operation: 72-50=22 Current State: 33:[64, 96, 22], Operations: ['72-50=22'] Exploring Operation: 96*22=2112, Resulting Numbers: [64, 2112] Generated Node #3: [64, 2112] from Operation: 96*22=2112 Current State: 33:[64, 2112], Operations: ['72-50=22', '96*22=2112'] Exploring Operation: 2112/64=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 16, 14, 13, 17 ]
26
[ "16+14=30", "17-13=4", "30-4=26" ]
Current State: 26:[16, 14, 13, 17], Operations: [] Exploring Operation: 16+14=30, Resulting Numbers: [13, 17, 30] Generated Node #2: [13, 17, 30] from Operation: 16+14=30 Current State: 26:[13, 17, 30], Operations: ['16+14=30'] Exploring Operation: 17-13=4, Resulting Numbers: [30, 4] Generated Node #3: [30, 4] from Operation: 17-13=4 Current State: 26:[30, 4], Operations: ['16+14=30', '17-13=4'] Exploring Operation: 30-4=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 87, 1, 4, 91 ]
15
[ "91-87=4", "4*4=16", "16-1=15" ]
Current State: 15:[87, 1, 4, 91], Operations: [] Exploring Operation: 91-87=4, Resulting Numbers: [1, 4, 4] Generated Node #2: [1, 4, 4] from Operation: 91-87=4 Current State: 15:[1, 4, 4], Operations: ['91-87=4'] Exploring Operation: 4*4=16, Resulting Numbers: [1, 16] Generated Node #3: [1, 16] from Operation: 4*4=16 Current State: 15:[1, 16], Operations: ['91-87=4', '4*4=16'] Exploring Operation: 16-1=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 5, 34, 18, 74 ]
53
[ "5+34=39", "18+74=92", "92-39=53" ]
Current State: 53:[5, 34, 18, 74], Operations: [] Exploring Operation: 5+34=39, Resulting Numbers: [18, 74, 39] Generated Node #2: [18, 74, 39] from Operation: 5+34=39 Current State: 53:[18, 74, 39], Operations: ['5+34=39'] Exploring Operation: 18+74=92, Resulting Numbers: [39, 92] Generated Node #3: [39, 92] from Operation: 18+74=92 Current State: 53:[39, 92], Operations: ['5+34=39', '18+74=92'] Exploring Operation: 92-39=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 52, 10, 69, 43 ]
70
[ "52-10=42", "69+43=112", "112-42=70" ]
Current State: 70:[52, 10, 69, 43], Operations: [] Exploring Operation: 52-10=42, Resulting Numbers: [69, 43, 42] Generated Node #2: [69, 43, 42] from Operation: 52-10=42 Current State: 70:[69, 43, 42], Operations: ['52-10=42'] Exploring Operation: 69+43=112, Resulting Numbers: [42, 112] Generated Node #3: [42, 112] from Operation: 69+43=112 Current State: 70:[42, 112], Operations: ['52-10=42', '69+43=112'] Exploring Operation: 112-42=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 86, 57, 30, 9 ]
89
[ "57-30=27", "27/9=3", "86+3=89" ]
Current State: 89:[86, 57, 30, 9], Operations: [] Exploring Operation: 57-30=27, Resulting Numbers: [86, 9, 27] Generated Node #2: [86, 9, 27] from Operation: 57-30=27 Current State: 89:[86, 9, 27], Operations: ['57-30=27'] Exploring Operation: 27/9=3, Resulting Numbers: [86, 3] Generated Node #3: [86, 3] from Operation: 27/9=3 Current State: 89:[86, 3], Operations: ['57-30=27', '27/9=3'] Exploring Operation: 86+3=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 35, 29, 31, 2 ]
31
[ "35+29=64", "31+2=33", "64-33=31" ]
Current State: 31:[35, 29, 31, 2], Operations: [] Exploring Operation: 35+29=64, Resulting Numbers: [31, 2, 64] Generated Node #2: [31, 2, 64] from Operation: 35+29=64 Current State: 31:[31, 2, 64], Operations: ['35+29=64'] Exploring Operation: 31+2=33, Resulting Numbers: [64, 33] Generated Node #3: [64, 33] from Operation: 31+2=33 Current State: 31:[64, 33], Operations: ['35+29=64', '31+2=33'] Exploring Operation: 64-33=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 14, 11, 27, 56 ]
87
[ "14-11=3", "56-27=29", "3*29=87" ]
Current State: 87:[14, 11, 27, 56], Operations: [] Exploring Operation: 14-11=3, Resulting Numbers: [27, 56, 3] Generated Node #2: [27, 56, 3] from Operation: 14-11=3 Current State: 87:[27, 56, 3], Operations: ['14-11=3'] Exploring Operation: 56-27=29, Resulting Numbers: [3, 29] Generated Node #3: [3, 29] from Operation: 56-27=29 Current State: 87:[3, 29], Operations: ['14-11=3', '56-27=29'] Exploring Operation: 3*29=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 37, 43, 28, 8 ]
29
[ "37-28=9", "8*9=72", "72-43=29" ]
Current State: 29:[37, 43, 28, 8], Operations: [] Exploring Operation: 37-28=9, Resulting Numbers: [43, 8, 9] Generated Node #2: [43, 8, 9] from Operation: 37-28=9 Current State: 29:[43, 8, 9], Operations: ['37-28=9'] Exploring Operation: 8*9=72, Resulting Numbers: [43, 72] Generated Node #3: [43, 72] from Operation: 8*9=72 Current State: 29:[43, 72], Operations: ['37-28=9', '8*9=72'] Exploring Operation: 72-43=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 35, 10, 8, 40 ]
85
[ "40-35=5", "10*8=80", "5+80=85" ]
Current State: 85:[35, 10, 8, 40], Operations: [] Exploring Operation: 40-35=5, Resulting Numbers: [10, 8, 5] Generated Node #2: [10, 8, 5] from Operation: 40-35=5 Current State: 85:[10, 8, 5], Operations: ['40-35=5'] Exploring Operation: 10*8=80, Resulting Numbers: [5, 80] Generated Node #3: [5, 80] from Operation: 10*8=80 Current State: 85:[5, 80], Operations: ['40-35=5', '10*8=80'] Exploring Operation: 5+80=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 53, 18, 34, 18 ]
86
[ "53+34=87", "18/18=1", "87-1=86" ]
Current State: 86:[53, 18, 34, 18], Operations: [] Exploring Operation: 53+34=87, Resulting Numbers: [18, 18, 87] Generated Node #2: [18, 18, 87] from Operation: 53+34=87 Current State: 86:[18, 18, 87], Operations: ['53+34=87'] Exploring Operation: 18/18=1, Resulting Numbers: [87, 1] Generated Node #3: [87, 1] from Operation: 18/18=1 Current State: 86:[87, 1], Operations: ['53+34=87', '18/18=1'] Exploring Operation: 87-1=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4