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
[ 91, 81, 60, 30 ]
63
[ "91-81=10", "30/10=3", "60+3=63" ]
Current State: 63:[91, 81, 60, 30], Operations: [] Exploring Operation: 91-81=10, Resulting Numbers: [60, 30, 10] Generated Node #2: [60, 30, 10] from Operation: 91-81=10 Current State: 63:[60, 30, 10], Operations: ['91-81=10'] Exploring Operation: 30/10=3, Resulting Numbers: [60, 3] Generated Node #3: [60, 3] from Operation: 30/10=3 Current State: 63:[60, 3], Operations: ['91-81=10', '30/10=3'] Exploring Operation: 60+3=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 41, 80, 4, 31 ]
94
[ "41+80=121", "31-4=27", "121-27=94" ]
Current State: 94:[41, 80, 4, 31], Operations: [] Exploring Operation: 41+80=121, Resulting Numbers: [4, 31, 121] Generated Node #2: [4, 31, 121] from Operation: 41+80=121 Current State: 94:[4, 31, 121], Operations: ['41+80=121'] Exploring Operation: 31-4=27, Resulting Numbers: [121, 27] Generated Node #3: [121, 27] from Operation: 31-4=27 Current State: 94:[121, 27], Operations: ['41+80=121', '31-4=27'] Exploring Operation: 121-27=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 73, 17, 63, 27 ]
54
[ "73+17=90", "63-27=36", "90-36=54" ]
Current State: 54:[73, 17, 63, 27], Operations: [] Exploring Operation: 73+17=90, Resulting Numbers: [63, 27, 90] Generated Node #2: [63, 27, 90] from Operation: 73+17=90 Current State: 54:[63, 27, 90], Operations: ['73+17=90'] Exploring Operation: 63-27=36, Resulting Numbers: [90, 36] Generated Node #3: [90, 36] from Operation: 63-27=36 Current State: 54:[90, 36], Operations: ['73+17=90', '63-27=36'] Exploring Operation: 90-36=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 5, 44, 15, 16 ]
38
[ "44-5=39", "16-15=1", "39-1=38" ]
Current State: 38:[5, 44, 15, 16], Operations: [] Exploring Operation: 44-5=39, Resulting Numbers: [15, 16, 39] Generated Node #2: [15, 16, 39] from Operation: 44-5=39 Current State: 38:[15, 16, 39], Operations: ['44-5=39'] Exploring Operation: 16-15=1, Resulting Numbers: [39, 1] Generated Node #3: [39, 1] from Operation: 16-15=1 Current State: 38:[39, 1], Operations: ['44-5=39', '16-15=1'] Exploring Operation: 39-1=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 8, 27, 29, 19 ]
93
[ "27-19=8", "8*8=64", "29+64=93" ]
Current State: 93:[8, 27, 29, 19], Operations: [] Exploring Operation: 27-19=8, Resulting Numbers: [8, 29, 8] Generated Node #2: [8, 29, 8] from Operation: 27-19=8 Current State: 93:[8, 29, 8], Operations: ['27-19=8'] Exploring Operation: 8*8=64, Resulting Numbers: [29, 64] Generated Node #3: [29, 64] from Operation: 8*8=64 Current State: 93:[29, 64], Operations: ['27-19=8', '8*8=64'] Exploring Operation: 29+64=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 93, 51, 76, 57 ]
23
[ "93-51=42", "76-57=19", "42-19=23" ]
Current State: 23:[93, 51, 76, 57], Operations: [] Exploring Operation: 93-51=42, Resulting Numbers: [76, 57, 42] Generated Node #2: [76, 57, 42] from Operation: 93-51=42 Current State: 23:[76, 57, 42], Operations: ['93-51=42'] Exploring Operation: 76-57=19, Resulting Numbers: [42, 19] Generated Node #3: [42, 19] from Operation: 76-57=19 Current State: 23:[42, 19], Operations: ['93-51=42', '76-57=19'] Exploring Operation: 42-19=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 8, 13, 86, 1 ]
66
[ "8+13=21", "86+1=87", "87-21=66" ]
Current State: 66:[8, 13, 86, 1], Operations: [] Exploring Operation: 8+13=21, Resulting Numbers: [86, 1, 21] Generated Node #2: [86, 1, 21] from Operation: 8+13=21 Current State: 66:[86, 1, 21], Operations: ['8+13=21'] Exploring Operation: 86+1=87, Resulting Numbers: [21, 87] Generated Node #3: [21, 87] from Operation: 86+1=87 Current State: 66:[21, 87], Operations: ['8+13=21', '86+1=87'] Exploring Operation: 87-21=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 2, 47, 87, 25 ]
10
[ "2*25=50", "87-47=40", "50-40=10" ]
Current State: 10:[2, 47, 87, 25], Operations: [] Exploring Operation: 2*25=50, Resulting Numbers: [47, 87, 50] Generated Node #2: [47, 87, 50] from Operation: 2*25=50 Current State: 10:[47, 87, 50], Operations: ['2*25=50'] Exploring Operation: 87-47=40, Resulting Numbers: [50, 40] Generated Node #3: [50, 40] from Operation: 87-47=40 Current State: 10:[50, 40], Operations: ['2*25=50', '87-47=40'] Exploring Operation: 50-40=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 1, 21, 81, 45 ]
58
[ "1+21=22", "81-45=36", "22+36=58" ]
Current State: 58:[1, 21, 81, 45], Operations: [] Exploring Operation: 1+21=22, Resulting Numbers: [81, 45, 22] Generated Node #2: [81, 45, 22] from Operation: 1+21=22 Current State: 58:[81, 45, 22], Operations: ['1+21=22'] Exploring Operation: 81-45=36, Resulting Numbers: [22, 36] Generated Node #3: [22, 36] from Operation: 81-45=36 Current State: 58:[22, 36], Operations: ['1+21=22', '81-45=36'] Exploring Operation: 22+36=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 37, 78, 95, 33 ]
98
[ "78+33=111", "111/37=3", "95+3=98" ]
Current State: 98:[37, 78, 95, 33], Operations: [] Exploring Operation: 78+33=111, Resulting Numbers: [37, 95, 111] Generated Node #2: [37, 95, 111] from Operation: 78+33=111 Current State: 98:[37, 95, 111], Operations: ['78+33=111'] Exploring Operation: 111/37=3, Resulting Numbers: [95, 3] Generated Node #3: [95, 3] from Operation: 111/37=3 Current State: 98:[95, 3], Operations: ['78+33=111', '111/37=3'] Exploring Operation: 95+3=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 46, 56, 19, 58 ]
49
[ "56-46=10", "58-19=39", "10+39=49" ]
Current State: 49:[46, 56, 19, 58], Operations: [] Exploring Operation: 56-46=10, Resulting Numbers: [19, 58, 10] Generated Node #2: [19, 58, 10] from Operation: 56-46=10 Current State: 49:[19, 58, 10], Operations: ['56-46=10'] Exploring Operation: 58-19=39, Resulting Numbers: [10, 39] Generated Node #3: [10, 39] from Operation: 58-19=39 Current State: 49:[10, 39], Operations: ['56-46=10', '58-19=39'] Exploring Operation: 10+39=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 70, 97, 98, 89 ]
18
[ "97-70=27", "98-89=9", "27-9=18" ]
Current State: 18:[70, 97, 98, 89], Operations: [] Exploring Operation: 97-70=27, Resulting Numbers: [98, 89, 27] Generated Node #2: [98, 89, 27] from Operation: 97-70=27 Current State: 18:[98, 89, 27], Operations: ['97-70=27'] Exploring Operation: 98-89=9, Resulting Numbers: [27, 9] Generated Node #3: [27, 9] from Operation: 98-89=9 Current State: 18:[27, 9], Operations: ['97-70=27', '98-89=9'] Exploring Operation: 27-9=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 77, 57, 3, 41 ]
45
[ "77-41=36", "36/3=12", "57-12=45" ]
Current State: 45:[77, 57, 3, 41], Operations: [] Exploring Operation: 77-41=36, Resulting Numbers: [57, 3, 36] Generated Node #2: [57, 3, 36] from Operation: 77-41=36 Current State: 45:[57, 3, 36], Operations: ['77-41=36'] Exploring Operation: 36/3=12, Resulting Numbers: [57, 12] Generated Node #3: [57, 12] from Operation: 36/3=12 Current State: 45:[57, 12], Operations: ['77-41=36', '36/3=12'] Exploring Operation: 57-12=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 35, 61, 20, 39 ]
33
[ "61-35=26", "20+39=59", "59-26=33" ]
Current State: 33:[35, 61, 20, 39], Operations: [] Exploring Operation: 61-35=26, Resulting Numbers: [20, 39, 26] Generated Node #2: [20, 39, 26] from Operation: 61-35=26 Current State: 33:[20, 39, 26], Operations: ['61-35=26'] Exploring Operation: 20+39=59, Resulting Numbers: [26, 59] Generated Node #3: [26, 59] from Operation: 20+39=59 Current State: 33:[26, 59], Operations: ['61-35=26', '20+39=59'] Exploring Operation: 59-26=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 18, 95, 47, 97 ]
87
[ "47+97=144", "144/18=8", "95-8=87" ]
Current State: 87:[18, 95, 47, 97], Operations: [] Exploring Operation: 47+97=144, Resulting Numbers: [18, 95, 144] Generated Node #2: [18, 95, 144] from Operation: 47+97=144 Current State: 87:[18, 95, 144], Operations: ['47+97=144'] Exploring Operation: 144/18=8, Resulting Numbers: [95, 8] Generated Node #3: [95, 8] from Operation: 144/18=8 Current State: 87:[95, 8], Operations: ['47+97=144', '144/18=8'] Exploring Operation: 95-8=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 54, 8, 8, 85 ]
31
[ "54+8=62", "8+85=93", "93-62=31" ]
Current State: 31:[54, 8, 8, 85], Operations: [] Exploring Operation: 54+8=62, Resulting Numbers: [85, 62] Generated Node #2: [85, 62] from Operation: 54+8=62 Current State: 31:[85, 62], Operations: ['54+8=62'] Exploring Operation: 8+85=93, Resulting Numbers: [62, 93] Generated Node #3: [62, 93] from Operation: 8+85=93 Current State: 31:[62, 93], Operations: ['54+8=62', '8+85=93'] Exploring Operation: 93-62=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 5, 10, 17, 60 ]
58
[ "5+10=15", "60-17=43", "15+43=58" ]
Current State: 58:[5, 10, 17, 60], Operations: [] Exploring Operation: 5+10=15, Resulting Numbers: [17, 60, 15] Generated Node #2: [17, 60, 15] from Operation: 5+10=15 Current State: 58:[17, 60, 15], Operations: ['5+10=15'] Exploring Operation: 60-17=43, Resulting Numbers: [15, 43] Generated Node #3: [15, 43] from Operation: 60-17=43 Current State: 58:[15, 43], Operations: ['5+10=15', '60-17=43'] Exploring Operation: 15+43=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 81, 27, 40, 18 ]
66
[ "81/27=3", "40-18=22", "3*22=66" ]
Current State: 66:[81, 27, 40, 18], Operations: [] Exploring Operation: 81/27=3, Resulting Numbers: [40, 18, 3] Generated Node #2: [40, 18, 3] from Operation: 81/27=3 Current State: 66:[40, 18, 3], Operations: ['81/27=3'] Exploring Operation: 40-18=22, Resulting Numbers: [3, 22] Generated Node #3: [3, 22] from Operation: 40-18=22 Current State: 66:[3, 22], Operations: ['81/27=3', '40-18=22'] Exploring Operation: 3*22=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 88, 32, 81, 80 ]
57
[ "88-32=56", "81-80=1", "56+1=57" ]
Current State: 57:[88, 32, 81, 80], Operations: [] Exploring Operation: 88-32=56, Resulting Numbers: [81, 80, 56] Generated Node #2: [81, 80, 56] from Operation: 88-32=56 Current State: 57:[81, 80, 56], Operations: ['88-32=56'] Exploring Operation: 81-80=1, Resulting Numbers: [56, 1] Generated Node #3: [56, 1] from Operation: 81-80=1 Current State: 57:[56, 1], Operations: ['88-32=56', '81-80=1'] Exploring Operation: 56+1=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 50, 22, 17, 66 ]
55
[ "50-22=28", "17+66=83", "83-28=55" ]
Current State: 55:[50, 22, 17, 66], Operations: [] Exploring Operation: 50-22=28, Resulting Numbers: [17, 66, 28] Generated Node #2: [17, 66, 28] from Operation: 50-22=28 Current State: 55:[17, 66, 28], Operations: ['50-22=28'] Exploring Operation: 17+66=83, Resulting Numbers: [28, 83] Generated Node #3: [28, 83] from Operation: 17+66=83 Current State: 55:[28, 83], Operations: ['50-22=28', '17+66=83'] Exploring Operation: 83-28=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 32, 49, 53, 60 ]
88
[ "32+49=81", "60-53=7", "81+7=88" ]
Current State: 88:[32, 49, 53, 60], Operations: [] Exploring Operation: 32+49=81, Resulting Numbers: [53, 60, 81] Generated Node #2: [53, 60, 81] from Operation: 32+49=81 Current State: 88:[53, 60, 81], Operations: ['32+49=81'] Exploring Operation: 60-53=7, Resulting Numbers: [81, 7] Generated Node #3: [81, 7] from Operation: 60-53=7 Current State: 88:[81, 7], Operations: ['32+49=81', '60-53=7'] Exploring Operation: 81+7=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 93, 3, 65, 60 ]
34
[ "93-60=33", "3*33=99", "99-65=34" ]
Current State: 34:[93, 3, 65, 60], Operations: [] Exploring Operation: 93-60=33, Resulting Numbers: [3, 65, 33] Generated Node #2: [3, 65, 33] from Operation: 93-60=33 Current State: 34:[3, 65, 33], Operations: ['93-60=33'] Exploring Operation: 3*33=99, Resulting Numbers: [65, 99] Generated Node #3: [65, 99] from Operation: 3*33=99 Current State: 34:[65, 99], Operations: ['93-60=33', '3*33=99'] Exploring Operation: 99-65=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 79, 74, 63, 31 ]
10
[ "79+31=110", "74-63=11", "110/11=10" ]
Current State: 10:[79, 74, 63, 31], Operations: [] Exploring Operation: 79+31=110, Resulting Numbers: [74, 63, 110] Generated Node #2: [74, 63, 110] from Operation: 79+31=110 Current State: 10:[74, 63, 110], Operations: ['79+31=110'] Exploring Operation: 74-63=11, Resulting Numbers: [110, 11] Generated Node #3: [110, 11] from Operation: 74-63=11 Current State: 10:[110, 11], Operations: ['79+31=110', '74-63=11'] Exploring Operation: 110/11=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 73, 19, 69, 80 ]
64
[ "80-73=7", "19*7=133", "133-69=64" ]
Current State: 64:[73, 19, 69, 80], Operations: [] Exploring Operation: 80-73=7, Resulting Numbers: [19, 69, 7] Generated Node #2: [19, 69, 7] from Operation: 80-73=7 Current State: 64:[19, 69, 7], Operations: ['80-73=7'] Exploring Operation: 19*7=133, Resulting Numbers: [69, 133] Generated Node #3: [69, 133] from Operation: 19*7=133 Current State: 64:[69, 133], Operations: ['80-73=7', '19*7=133'] Exploring Operation: 133-69=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 6, 14, 39, 10 ]
51
[ "39*10=390", "390/6=65", "65-14=51" ]
Current State: 51:[6, 14, 39, 10], Operations: [] Exploring Operation: 39*10=390, Resulting Numbers: [6, 14, 390] Generated Node #2: [6, 14, 390] from Operation: 39*10=390 Current State: 51:[6, 14, 390], Operations: ['39*10=390'] Exploring Operation: 390/6=65, Resulting Numbers: [14, 65] Generated Node #3: [14, 65] from Operation: 390/6=65 Current State: 51:[14, 65], Operations: ['39*10=390', '390/6=65'] Exploring Operation: 65-14=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 26, 36, 8, 38 ]
54
[ "38-26=12", "36*12=432", "432/8=54" ]
Current State: 54:[26, 36, 8, 38], Operations: [] Exploring Operation: 38-26=12, Resulting Numbers: [36, 8, 12] Generated Node #2: [36, 8, 12] from Operation: 38-26=12 Current State: 54:[36, 8, 12], Operations: ['38-26=12'] Exploring Operation: 36*12=432, Resulting Numbers: [8, 432] Generated Node #3: [8, 432] from Operation: 36*12=432 Current State: 54:[8, 432], Operations: ['38-26=12', '36*12=432'] Exploring Operation: 432/8=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 37, 17, 5, 8 ]
41
[ "37+17=54", "5+8=13", "54-13=41" ]
Current State: 41:[37, 17, 5, 8], Operations: [] Exploring Operation: 37+17=54, Resulting Numbers: [5, 8, 54] Generated Node #2: [5, 8, 54] from Operation: 37+17=54 Current State: 41:[5, 8, 54], Operations: ['37+17=54'] Exploring Operation: 5+8=13, Resulting Numbers: [54, 13] Generated Node #3: [54, 13] from Operation: 5+8=13 Current State: 41:[54, 13], Operations: ['37+17=54', '5+8=13'] Exploring Operation: 54-13=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 16, 14, 85, 32 ]
57
[ "32/16=2", "14*2=28", "85-28=57" ]
Current State: 57:[16, 14, 85, 32], Operations: [] Exploring Operation: 32/16=2, Resulting Numbers: [14, 85, 2] Generated Node #2: [14, 85, 2] from Operation: 32/16=2 Current State: 57:[14, 85, 2], Operations: ['32/16=2'] Exploring Operation: 14*2=28, Resulting Numbers: [85, 28] Generated Node #3: [85, 28] from Operation: 14*2=28 Current State: 57:[85, 28], Operations: ['32/16=2', '14*2=28'] Exploring Operation: 85-28=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 52, 34, 23, 8 ]
55
[ "52+34=86", "23+8=31", "86-31=55" ]
Current State: 55:[52, 34, 23, 8], Operations: [] Exploring Operation: 52+34=86, Resulting Numbers: [23, 8, 86] Generated Node #2: [23, 8, 86] from Operation: 52+34=86 Current State: 55:[23, 8, 86], Operations: ['52+34=86'] Exploring Operation: 23+8=31, Resulting Numbers: [86, 31] Generated Node #3: [86, 31] from Operation: 23+8=31 Current State: 55:[86, 31], Operations: ['52+34=86', '23+8=31'] Exploring Operation: 86-31=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 78, 89, 90, 89 ]
78
[ "89-89=0", "90*0=0", "78+0=78" ]
Current State: 78:[78, 89, 90, 89], Operations: [] Exploring Operation: 89-89=0, Resulting Numbers: [78, 90, 0] Generated Node #2: [78, 90, 0] from Operation: 89-89=0 Current State: 78:[78, 90, 0], Operations: ['89-89=0'] Exploring Operation: 90*0=0, Resulting Numbers: [78, 0] Generated Node #3: [78, 0] from Operation: 90*0=0 Current State: 78:[78, 0], Operations: ['89-89=0', '90*0=0'] Exploring Operation: 78+0=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 93, 76, 9, 96 ]
87
[ "96-76=20", "9*20=180", "180-93=87" ]
Current State: 87:[93, 76, 9, 96], Operations: [] Exploring Operation: 96-76=20, Resulting Numbers: [93, 9, 20] Generated Node #2: [93, 9, 20] from Operation: 96-76=20 Current State: 87:[93, 9, 20], Operations: ['96-76=20'] Exploring Operation: 9*20=180, Resulting Numbers: [93, 180] Generated Node #3: [93, 180] from Operation: 9*20=180 Current State: 87:[93, 180], Operations: ['96-76=20', '9*20=180'] Exploring Operation: 180-93=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 15, 8, 19, 23 ]
83
[ "23-15=8", "8*8=64", "19+64=83" ]
Current State: 83:[15, 8, 19, 23], Operations: [] Exploring Operation: 23-15=8, Resulting Numbers: [8, 19, 8] Generated Node #2: [8, 19, 8] from Operation: 23-15=8 Current State: 83:[8, 19, 8], Operations: ['23-15=8'] Exploring Operation: 8*8=64, Resulting Numbers: [19, 64] Generated Node #3: [19, 64] from Operation: 8*8=64 Current State: 83:[19, 64], Operations: ['23-15=8', '8*8=64'] Exploring Operation: 19+64=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 54, 27, 39, 38 ]
50
[ "54-27=27", "39+38=77", "77-27=50" ]
Current State: 50:[54, 27, 39, 38], Operations: [] Exploring Operation: 54-27=27, Resulting Numbers: [39, 38, 27] Generated Node #2: [39, 38, 27] from Operation: 54-27=27 Current State: 50:[39, 38, 27], Operations: ['54-27=27'] Exploring Operation: 39+38=77, Resulting Numbers: [27, 77] Generated Node #3: [27, 77] from Operation: 39+38=77 Current State: 50:[27, 77], Operations: ['54-27=27', '39+38=77'] Exploring Operation: 77-27=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 59, 35, 94, 68 ]
67
[ "59+35=94", "94/94=1", "68-1=67" ]
Current State: 67:[59, 35, 94, 68], Operations: [] Exploring Operation: 59+35=94, Resulting Numbers: [94, 68, 94] Generated Node #2: [94, 68, 94] from Operation: 59+35=94 Current State: 67:[94, 68, 94], Operations: ['59+35=94'] Exploring Operation: 94/94=1, Resulting Numbers: [68, 1] Generated Node #3: [68, 1] from Operation: 94/94=1 Current State: 67:[68, 1], Operations: ['59+35=94', '94/94=1'] Exploring Operation: 68-1=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 83, 8, 69, 93 ]
86
[ "93-69=24", "24/8=3", "83+3=86" ]
Current State: 86:[83, 8, 69, 93], Operations: [] Exploring Operation: 93-69=24, Resulting Numbers: [83, 8, 24] Generated Node #2: [83, 8, 24] from Operation: 93-69=24 Current State: 86:[83, 8, 24], Operations: ['93-69=24'] Exploring Operation: 24/8=3, Resulting Numbers: [83, 3] Generated Node #3: [83, 3] from Operation: 24/8=3 Current State: 86:[83, 3], Operations: ['93-69=24', '24/8=3'] Exploring Operation: 83+3=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 5, 4, 31, 75 ]
42
[ "75/5=15", "31-4=27", "15+27=42" ]
Current State: 42:[5, 4, 31, 75], Operations: [] Exploring Operation: 75/5=15, Resulting Numbers: [4, 31, 15] Generated Node #2: [4, 31, 15] from Operation: 75/5=15 Current State: 42:[4, 31, 15], Operations: ['75/5=15'] Exploring Operation: 31-4=27, Resulting Numbers: [15, 27] Generated Node #3: [15, 27] from Operation: 31-4=27 Current State: 42:[15, 27], Operations: ['75/5=15', '31-4=27'] Exploring Operation: 15+27=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 52, 46, 16, 12 ]
14
[ "52-46=6", "12/6=2", "16-2=14" ]
Current State: 14:[52, 46, 16, 12], Operations: [] Exploring Operation: 52-46=6, Resulting Numbers: [16, 12, 6] Generated Node #2: [16, 12, 6] from Operation: 52-46=6 Current State: 14:[16, 12, 6], Operations: ['52-46=6'] Exploring Operation: 12/6=2, Resulting Numbers: [16, 2] Generated Node #3: [16, 2] from Operation: 12/6=2 Current State: 14:[16, 2], Operations: ['52-46=6', '12/6=2'] Exploring Operation: 16-2=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 10, 82, 20, 33 ]
51
[ "20/10=2", "82-33=49", "2+49=51" ]
Current State: 51:[10, 82, 20, 33], Operations: [] Exploring Operation: 20/10=2, Resulting Numbers: [82, 33, 2] Generated Node #2: [82, 33, 2] from Operation: 20/10=2 Current State: 51:[82, 33, 2], Operations: ['20/10=2'] Exploring Operation: 82-33=49, Resulting Numbers: [2, 49] Generated Node #3: [2, 49] from Operation: 82-33=49 Current State: 51:[2, 49], Operations: ['20/10=2', '82-33=49'] Exploring Operation: 2+49=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 84, 4, 71, 78 ]
47
[ "84-78=6", "4*6=24", "71-24=47" ]
Current State: 47:[84, 4, 71, 78], Operations: [] Exploring Operation: 84-78=6, Resulting Numbers: [4, 71, 6] Generated Node #2: [4, 71, 6] from Operation: 84-78=6 Current State: 47:[4, 71, 6], Operations: ['84-78=6'] Exploring Operation: 4*6=24, Resulting Numbers: [71, 24] Generated Node #3: [71, 24] from Operation: 4*6=24 Current State: 47:[71, 24], Operations: ['84-78=6', '4*6=24'] Exploring Operation: 71-24=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 96, 48, 81, 79 ]
96
[ "96-48=48", "81-79=2", "48*2=96" ]
Current State: 96:[96, 48, 81, 79], Operations: [] Exploring Operation: 96-48=48, Resulting Numbers: [81, 79, 48] Generated Node #2: [81, 79, 48] from Operation: 96-48=48 Current State: 96:[81, 79, 48], Operations: ['96-48=48'] Exploring Operation: 81-79=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 81-79=2 Current State: 96:[48, 2], Operations: ['96-48=48', '81-79=2'] Exploring Operation: 48*2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 21, 53, 44, 59 ]
29
[ "21+53=74", "44+59=103", "103-74=29" ]
Current State: 29:[21, 53, 44, 59], Operations: [] Exploring Operation: 21+53=74, Resulting Numbers: [44, 59, 74] Generated Node #2: [44, 59, 74] from Operation: 21+53=74 Current State: 29:[44, 59, 74], Operations: ['21+53=74'] Exploring Operation: 44+59=103, Resulting Numbers: [74, 103] Generated Node #3: [74, 103] from Operation: 44+59=103 Current State: 29:[74, 103], Operations: ['21+53=74', '44+59=103'] Exploring Operation: 103-74=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 8, 3, 2, 92 ]
18
[ "8-3=5", "92-2=90", "90/5=18" ]
Current State: 18:[8, 3, 2, 92], Operations: [] Exploring Operation: 8-3=5, Resulting Numbers: [2, 92, 5] Generated Node #2: [2, 92, 5] from Operation: 8-3=5 Current State: 18:[2, 92, 5], Operations: ['8-3=5'] Exploring Operation: 92-2=90, Resulting Numbers: [5, 90] Generated Node #3: [5, 90] from Operation: 92-2=90 Current State: 18:[5, 90], Operations: ['8-3=5', '92-2=90'] Exploring Operation: 90/5=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 57, 72, 69, 47 ]
28
[ "72-69=3", "57/3=19", "47-19=28" ]
Current State: 28:[57, 72, 69, 47], Operations: [] Exploring Operation: 72-69=3, Resulting Numbers: [57, 47, 3] Generated Node #2: [57, 47, 3] from Operation: 72-69=3 Current State: 28:[57, 47, 3], Operations: ['72-69=3'] Exploring Operation: 57/3=19, Resulting Numbers: [47, 19] Generated Node #3: [47, 19] from Operation: 57/3=19 Current State: 28:[47, 19], Operations: ['72-69=3', '57/3=19'] Exploring Operation: 47-19=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 52, 2, 6, 78 ]
64
[ "52-6=46", "78-46=32", "2*32=64" ]
Current State: 64:[52, 2, 6, 78], Operations: [] Exploring Operation: 52-6=46, Resulting Numbers: [2, 78, 46] Generated Node #2: [2, 78, 46] from Operation: 52-6=46 Current State: 64:[2, 78, 46], Operations: ['52-6=46'] Exploring Operation: 78-46=32, Resulting Numbers: [2, 32] Generated Node #3: [2, 32] from Operation: 78-46=32 Current State: 64:[2, 32], Operations: ['52-6=46', '78-46=32'] Exploring Operation: 2*32=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 88, 56, 3, 96 ]
67
[ "88-56=32", "3+96=99", "99-32=67" ]
Current State: 67:[88, 56, 3, 96], Operations: [] Exploring Operation: 88-56=32, Resulting Numbers: [3, 96, 32] Generated Node #2: [3, 96, 32] from Operation: 88-56=32 Current State: 67:[3, 96, 32], Operations: ['88-56=32'] Exploring Operation: 3+96=99, Resulting Numbers: [32, 99] Generated Node #3: [32, 99] from Operation: 3+96=99 Current State: 67:[32, 99], Operations: ['88-56=32', '3+96=99'] Exploring Operation: 99-32=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 19, 73, 12, 62 ]
96
[ "73-19=54", "62-54=8", "12*8=96" ]
Current State: 96:[19, 73, 12, 62], Operations: [] Exploring Operation: 73-19=54, Resulting Numbers: [12, 62, 54] Generated Node #2: [12, 62, 54] from Operation: 73-19=54 Current State: 96:[12, 62, 54], Operations: ['73-19=54'] Exploring Operation: 62-54=8, Resulting Numbers: [12, 8] Generated Node #3: [12, 8] from Operation: 62-54=8 Current State: 96:[12, 8], Operations: ['73-19=54', '62-54=8'] Exploring Operation: 12*8=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 4, 72, 45, 8 ]
61
[ "72-8=64", "64/4=16", "45+16=61" ]
Current State: 61:[4, 72, 45, 8], Operations: [] Exploring Operation: 72-8=64, Resulting Numbers: [4, 45, 64] Generated Node #2: [4, 45, 64] from Operation: 72-8=64 Current State: 61:[4, 45, 64], Operations: ['72-8=64'] Exploring Operation: 64/4=16, Resulting Numbers: [45, 16] Generated Node #3: [45, 16] from Operation: 64/4=16 Current State: 61:[45, 16], Operations: ['72-8=64', '64/4=16'] Exploring Operation: 45+16=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 24, 11, 82, 48 ]
91
[ "48/24=2", "11+82=93", "93-2=91" ]
Current State: 91:[24, 11, 82, 48], Operations: [] Exploring Operation: 48/24=2, Resulting Numbers: [11, 82, 2] Generated Node #2: [11, 82, 2] from Operation: 48/24=2 Current State: 91:[11, 82, 2], Operations: ['48/24=2'] Exploring Operation: 11+82=93, Resulting Numbers: [2, 93] Generated Node #3: [2, 93] from Operation: 11+82=93 Current State: 91:[2, 93], Operations: ['48/24=2', '11+82=93'] Exploring Operation: 93-2=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 77, 72, 48, 16 ]
32
[ "77-72=5", "16*5=80", "80-48=32" ]
Current State: 32:[77, 72, 48, 16], Operations: [] Exploring Operation: 77-72=5, Resulting Numbers: [48, 16, 5] Generated Node #2: [48, 16, 5] from Operation: 77-72=5 Current State: 32:[48, 16, 5], Operations: ['77-72=5'] Exploring Operation: 16*5=80, Resulting Numbers: [48, 80] Generated Node #3: [48, 80] from Operation: 16*5=80 Current State: 32:[48, 80], Operations: ['77-72=5', '16*5=80'] Exploring Operation: 80-48=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 20, 2, 24, 4 ]
68
[ "20*2=40", "24+4=28", "40+28=68" ]
Current State: 68:[20, 2, 24, 4], Operations: [] Exploring Operation: 20*2=40, Resulting Numbers: [24, 4, 40] Generated Node #2: [24, 4, 40] from Operation: 20*2=40 Current State: 68:[24, 4, 40], Operations: ['20*2=40'] Exploring Operation: 24+4=28, Resulting Numbers: [40, 28] Generated Node #3: [40, 28] from Operation: 24+4=28 Current State: 68:[40, 28], Operations: ['20*2=40', '24+4=28'] Exploring Operation: 40+28=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 24, 55, 37, 10 ]
16
[ "55-24=31", "37+10=47", "47-31=16" ]
Current State: 16:[24, 55, 37, 10], Operations: [] Exploring Operation: 55-24=31, Resulting Numbers: [37, 10, 31] Generated Node #2: [37, 10, 31] from Operation: 55-24=31 Current State: 16:[37, 10, 31], Operations: ['55-24=31'] Exploring Operation: 37+10=47, Resulting Numbers: [31, 47] Generated Node #3: [31, 47] from Operation: 37+10=47 Current State: 16:[31, 47], Operations: ['55-24=31', '37+10=47'] Exploring Operation: 47-31=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 87, 4, 89, 12 ]
16
[ "89-87=2", "12-4=8", "2*8=16" ]
Current State: 16:[87, 4, 89, 12], Operations: [] Exploring Operation: 89-87=2, Resulting Numbers: [4, 12, 2] Generated Node #2: [4, 12, 2] from Operation: 89-87=2 Current State: 16:[4, 12, 2], Operations: ['89-87=2'] Exploring Operation: 12-4=8, Resulting Numbers: [2, 8] Generated Node #3: [2, 8] from Operation: 12-4=8 Current State: 16:[2, 8], Operations: ['89-87=2', '12-4=8'] Exploring Operation: 2*8=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 41, 78, 14, 83 ]
32
[ "78-41=37", "83-14=69", "69-37=32" ]
Current State: 32:[41, 78, 14, 83], Operations: [] Exploring Operation: 78-41=37, Resulting Numbers: [14, 83, 37] Generated Node #2: [14, 83, 37] from Operation: 78-41=37 Current State: 32:[14, 83, 37], Operations: ['78-41=37'] Exploring Operation: 83-14=69, Resulting Numbers: [37, 69] Generated Node #3: [37, 69] from Operation: 83-14=69 Current State: 32:[37, 69], Operations: ['78-41=37', '83-14=69'] Exploring Operation: 69-37=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 78, 21, 23, 8 ]
68
[ "78+21=99", "23+8=31", "99-31=68" ]
Current State: 68:[78, 21, 23, 8], Operations: [] Exploring Operation: 78+21=99, Resulting Numbers: [23, 8, 99] Generated Node #2: [23, 8, 99] from Operation: 78+21=99 Current State: 68:[23, 8, 99], Operations: ['78+21=99'] Exploring Operation: 23+8=31, Resulting Numbers: [99, 31] Generated Node #3: [99, 31] from Operation: 23+8=31 Current State: 68:[99, 31], Operations: ['78+21=99', '23+8=31'] Exploring Operation: 99-31=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 89, 52, 92, 20 ]
29
[ "89+52=141", "92+20=112", "141-112=29" ]
Current State: 29:[89, 52, 92, 20], Operations: [] Exploring Operation: 89+52=141, Resulting Numbers: [92, 20, 141] Generated Node #2: [92, 20, 141] from Operation: 89+52=141 Current State: 29:[92, 20, 141], Operations: ['89+52=141'] Exploring Operation: 92+20=112, Resulting Numbers: [141, 112] Generated Node #3: [141, 112] from Operation: 92+20=112 Current State: 29:[141, 112], Operations: ['89+52=141', '92+20=112'] Exploring Operation: 141-112=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 88, 27, 21, 63 ]
73
[ "88+27=115", "63-21=42", "115-42=73" ]
Current State: 73:[88, 27, 21, 63], Operations: [] Exploring Operation: 88+27=115, Resulting Numbers: [21, 63, 115] Generated Node #2: [21, 63, 115] from Operation: 88+27=115 Current State: 73:[21, 63, 115], Operations: ['88+27=115'] Exploring Operation: 63-21=42, Resulting Numbers: [115, 42] Generated Node #3: [115, 42] from Operation: 63-21=42 Current State: 73:[115, 42], Operations: ['88+27=115', '63-21=42'] Exploring Operation: 115-42=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 92, 57, 44, 66 ]
54
[ "57*44=2508", "2508/66=38", "92-38=54" ]
Current State: 54:[92, 57, 44, 66], Operations: [] Exploring Operation: 57*44=2508, Resulting Numbers: [92, 66, 2508] Generated Node #2: [92, 66, 2508] from Operation: 57*44=2508 Current State: 54:[92, 66, 2508], Operations: ['57*44=2508'] Exploring Operation: 2508/66=38, Resulting Numbers: [92, 38] Generated Node #3: [92, 38] from Operation: 2508/66=38 Current State: 54:[92, 38], Operations: ['57*44=2508', '2508/66=38'] Exploring Operation: 92-38=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 16, 55, 84, 97 ]
14
[ "97-55=42", "84/42=2", "16-2=14" ]
Current State: 14:[16, 55, 84, 97], Operations: [] Exploring Operation: 97-55=42, Resulting Numbers: [16, 84, 42] Generated Node #2: [16, 84, 42] from Operation: 97-55=42 Current State: 14:[16, 84, 42], Operations: ['97-55=42'] Exploring Operation: 84/42=2, Resulting Numbers: [16, 2] Generated Node #3: [16, 2] from Operation: 84/42=2 Current State: 14:[16, 2], Operations: ['97-55=42', '84/42=2'] Exploring Operation: 16-2=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 33, 4, 29, 82 ]
80
[ "33+29=62", "82-62=20", "4*20=80" ]
Current State: 80:[33, 4, 29, 82], Operations: [] Exploring Operation: 33+29=62, Resulting Numbers: [4, 82, 62] Generated Node #2: [4, 82, 62] from Operation: 33+29=62 Current State: 80:[4, 82, 62], Operations: ['33+29=62'] Exploring Operation: 82-62=20, Resulting Numbers: [4, 20] Generated Node #3: [4, 20] from Operation: 82-62=20 Current State: 80:[4, 20], Operations: ['33+29=62', '82-62=20'] Exploring Operation: 4*20=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 61, 21, 53, 57 ]
78
[ "61+21=82", "57-53=4", "82-4=78" ]
Current State: 78:[61, 21, 53, 57], Operations: [] Exploring Operation: 61+21=82, Resulting Numbers: [53, 57, 82] Generated Node #2: [53, 57, 82] from Operation: 61+21=82 Current State: 78:[53, 57, 82], Operations: ['61+21=82'] Exploring Operation: 57-53=4, Resulting Numbers: [82, 4] Generated Node #3: [82, 4] from Operation: 57-53=4 Current State: 78:[82, 4], Operations: ['61+21=82', '57-53=4'] Exploring Operation: 82-4=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 38, 32, 11, 77 ]
42
[ "38-32=6", "77/11=7", "6*7=42" ]
Current State: 42:[38, 32, 11, 77], Operations: [] Exploring Operation: 38-32=6, Resulting Numbers: [11, 77, 6] Generated Node #2: [11, 77, 6] from Operation: 38-32=6 Current State: 42:[11, 77, 6], Operations: ['38-32=6'] Exploring Operation: 77/11=7, Resulting Numbers: [6, 7] Generated Node #3: [6, 7] from Operation: 77/11=7 Current State: 42:[6, 7], Operations: ['38-32=6', '77/11=7'] Exploring Operation: 6*7=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 56, 25, 75, 30 ]
83
[ "56+30=86", "75/25=3", "86-3=83" ]
Current State: 83:[56, 25, 75, 30], Operations: [] Exploring Operation: 56+30=86, Resulting Numbers: [25, 75, 86] Generated Node #2: [25, 75, 86] from Operation: 56+30=86 Current State: 83:[25, 75, 86], Operations: ['56+30=86'] Exploring Operation: 75/25=3, Resulting Numbers: [86, 3] Generated Node #3: [86, 3] from Operation: 75/25=3 Current State: 83:[86, 3], Operations: ['56+30=86', '75/25=3'] Exploring Operation: 86-3=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 98, 4, 2, 39 ]
15
[ "98-2=96", "96/4=24", "39-24=15" ]
Current State: 15:[98, 4, 2, 39], Operations: [] Exploring Operation: 98-2=96, Resulting Numbers: [4, 39, 96] Generated Node #2: [4, 39, 96] from Operation: 98-2=96 Current State: 15:[4, 39, 96], Operations: ['98-2=96'] Exploring Operation: 96/4=24, Resulting Numbers: [39, 24] Generated Node #3: [39, 24] from Operation: 96/4=24 Current State: 15:[39, 24], Operations: ['98-2=96', '96/4=24'] Exploring Operation: 39-24=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 3, 99, 94, 77 ]
24
[ "99-94=5", "77-5=72", "72/3=24" ]
Current State: 24:[3, 99, 94, 77], Operations: [] Exploring Operation: 99-94=5, Resulting Numbers: [3, 77, 5] Generated Node #2: [3, 77, 5] from Operation: 99-94=5 Current State: 24:[3, 77, 5], Operations: ['99-94=5'] Exploring Operation: 77-5=72, Resulting Numbers: [3, 72] Generated Node #3: [3, 72] from Operation: 77-5=72 Current State: 24:[3, 72], Operations: ['99-94=5', '77-5=72'] Exploring Operation: 72/3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 70, 42, 60, 72 ]
51
[ "72-70=2", "42+60=102", "102/2=51" ]
Current State: 51:[70, 42, 60, 72], Operations: [] Exploring Operation: 72-70=2, Resulting Numbers: [42, 60, 2] Generated Node #2: [42, 60, 2] from Operation: 72-70=2 Current State: 51:[42, 60, 2], Operations: ['72-70=2'] Exploring Operation: 42+60=102, Resulting Numbers: [2, 102] Generated Node #3: [2, 102] from Operation: 42+60=102 Current State: 51:[2, 102], Operations: ['72-70=2', '42+60=102'] Exploring Operation: 102/2=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 10, 89, 25, 85 ]
95
[ "85-25=60", "60/10=6", "89+6=95" ]
Current State: 95:[10, 89, 25, 85], Operations: [] Exploring Operation: 85-25=60, Resulting Numbers: [10, 89, 60] Generated Node #2: [10, 89, 60] from Operation: 85-25=60 Current State: 95:[10, 89, 60], Operations: ['85-25=60'] Exploring Operation: 60/10=6, Resulting Numbers: [89, 6] Generated Node #3: [89, 6] from Operation: 60/10=6 Current State: 95:[89, 6], Operations: ['85-25=60', '60/10=6'] Exploring Operation: 89+6=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 31, 66, 1, 62 ]
32
[ "31*66=2046", "2046/62=33", "33-1=32" ]
Current State: 32:[31, 66, 1, 62], Operations: [] Exploring Operation: 31*66=2046, Resulting Numbers: [1, 62, 2046] Generated Node #2: [1, 62, 2046] from Operation: 31*66=2046 Current State: 32:[1, 62, 2046], Operations: ['31*66=2046'] Exploring Operation: 2046/62=33, Resulting Numbers: [1, 33] Generated Node #3: [1, 33] from Operation: 2046/62=33 Current State: 32:[1, 33], Operations: ['31*66=2046', '2046/62=33'] Exploring Operation: 33-1=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 51, 10, 69, 14 ]
22
[ "51+10=61", "69+14=83", "83-61=22" ]
Current State: 22:[51, 10, 69, 14], Operations: [] Exploring Operation: 51+10=61, Resulting Numbers: [69, 14, 61] Generated Node #2: [69, 14, 61] from Operation: 51+10=61 Current State: 22:[69, 14, 61], Operations: ['51+10=61'] Exploring Operation: 69+14=83, Resulting Numbers: [61, 83] Generated Node #3: [61, 83] from Operation: 69+14=83 Current State: 22:[61, 83], Operations: ['51+10=61', '69+14=83'] Exploring Operation: 83-61=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 29, 33, 71, 65 ]
56
[ "29+33=62", "71-65=6", "62-6=56" ]
Current State: 56:[29, 33, 71, 65], Operations: [] Exploring Operation: 29+33=62, Resulting Numbers: [71, 65, 62] Generated Node #2: [71, 65, 62] from Operation: 29+33=62 Current State: 56:[71, 65, 62], Operations: ['29+33=62'] Exploring Operation: 71-65=6, Resulting Numbers: [62, 6] Generated Node #3: [62, 6] from Operation: 71-65=6 Current State: 56:[62, 6], Operations: ['29+33=62', '71-65=6'] Exploring Operation: 62-6=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 5, 86, 77, 75 ]
93
[ "5+86=91", "77-75=2", "91+2=93" ]
Current State: 93:[5, 86, 77, 75], Operations: [] Exploring Operation: 5+86=91, Resulting Numbers: [77, 75, 91] Generated Node #2: [77, 75, 91] from Operation: 5+86=91 Current State: 93:[77, 75, 91], Operations: ['5+86=91'] Exploring Operation: 77-75=2, Resulting Numbers: [91, 2] Generated Node #3: [91, 2] from Operation: 77-75=2 Current State: 93:[91, 2], Operations: ['5+86=91', '77-75=2'] Exploring Operation: 91+2=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 86, 12, 5, 87 ]
18
[ "86-12=74", "5+87=92", "92-74=18" ]
Current State: 18:[86, 12, 5, 87], Operations: [] Exploring Operation: 86-12=74, Resulting Numbers: [5, 87, 74] Generated Node #2: [5, 87, 74] from Operation: 86-12=74 Current State: 18:[5, 87, 74], Operations: ['86-12=74'] Exploring Operation: 5+87=92, Resulting Numbers: [74, 92] Generated Node #3: [74, 92] from Operation: 5+87=92 Current State: 18:[74, 92], Operations: ['86-12=74', '5+87=92'] Exploring Operation: 92-74=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 53, 28, 99, 37 ]
64
[ "37-28=9", "99/9=11", "53+11=64" ]
Current State: 64:[53, 28, 99, 37], Operations: [] Exploring Operation: 37-28=9, Resulting Numbers: [53, 99, 9] Generated Node #2: [53, 99, 9] from Operation: 37-28=9 Current State: 64:[53, 99, 9], Operations: ['37-28=9'] Exploring Operation: 99/9=11, Resulting Numbers: [53, 11] Generated Node #3: [53, 11] from Operation: 99/9=11 Current State: 64:[53, 11], Operations: ['37-28=9', '99/9=11'] Exploring Operation: 53+11=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 92, 1, 23, 91 ]
96
[ "92/23=4", "1+91=92", "4+92=96" ]
Current State: 96:[92, 1, 23, 91], Operations: [] Exploring Operation: 92/23=4, Resulting Numbers: [1, 91, 4] Generated Node #2: [1, 91, 4] from Operation: 92/23=4 Current State: 96:[1, 91, 4], Operations: ['92/23=4'] Exploring Operation: 1+91=92, Resulting Numbers: [4, 92] Generated Node #3: [4, 92] from Operation: 1+91=92 Current State: 96:[4, 92], Operations: ['92/23=4', '1+91=92'] Exploring Operation: 4+92=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 94, 58, 82, 9 ]
78
[ "94-58=36", "36/9=4", "82-4=78" ]
Current State: 78:[94, 58, 82, 9], Operations: [] Exploring Operation: 94-58=36, Resulting Numbers: [82, 9, 36] Generated Node #2: [82, 9, 36] from Operation: 94-58=36 Current State: 78:[82, 9, 36], Operations: ['94-58=36'] Exploring Operation: 36/9=4, Resulting Numbers: [82, 4] Generated Node #3: [82, 4] from Operation: 36/9=4 Current State: 78:[82, 4], Operations: ['94-58=36', '36/9=4'] Exploring Operation: 82-4=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 84, 99, 75, 10 ]
75
[ "99-84=15", "10*15=150", "150-75=75" ]
Current State: 75:[84, 99, 75, 10], Operations: [] Exploring Operation: 99-84=15, Resulting Numbers: [75, 10, 15] Generated Node #2: [75, 10, 15] from Operation: 99-84=15 Current State: 75:[75, 10, 15], Operations: ['99-84=15'] Exploring Operation: 10*15=150, Resulting Numbers: [75, 150] Generated Node #3: [75, 150] from Operation: 10*15=150 Current State: 75:[75, 150], Operations: ['99-84=15', '10*15=150'] Exploring Operation: 150-75=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 66, 20, 73, 51 ]
33
[ "73-20=53", "53-51=2", "66/2=33" ]
Current State: 33:[66, 20, 73, 51], Operations: [] Exploring Operation: 73-20=53, Resulting Numbers: [66, 51, 53] Generated Node #2: [66, 51, 53] from Operation: 73-20=53 Current State: 33:[66, 51, 53], Operations: ['73-20=53'] Exploring Operation: 53-51=2, Resulting Numbers: [66, 2] Generated Node #3: [66, 2] from Operation: 53-51=2 Current State: 33:[66, 2], Operations: ['73-20=53', '53-51=2'] Exploring Operation: 66/2=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 58, 59, 9, 33 ]
75
[ "58+59=117", "9+33=42", "117-42=75" ]
Current State: 75:[58, 59, 9, 33], Operations: [] Exploring Operation: 58+59=117, Resulting Numbers: [9, 33, 117] Generated Node #2: [9, 33, 117] from Operation: 58+59=117 Current State: 75:[9, 33, 117], Operations: ['58+59=117'] Exploring Operation: 9+33=42, Resulting Numbers: [117, 42] Generated Node #3: [117, 42] from Operation: 9+33=42 Current State: 75:[117, 42], Operations: ['58+59=117', '9+33=42'] Exploring Operation: 117-42=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 22, 41, 20, 49 ]
88
[ "41-22=19", "20+49=69", "19+69=88" ]
Current State: 88:[22, 41, 20, 49], Operations: [] Exploring Operation: 41-22=19, Resulting Numbers: [20, 49, 19] Generated Node #2: [20, 49, 19] from Operation: 41-22=19 Current State: 88:[20, 49, 19], Operations: ['41-22=19'] Exploring Operation: 20+49=69, Resulting Numbers: [19, 69] Generated Node #3: [19, 69] from Operation: 20+49=69 Current State: 88:[19, 69], Operations: ['41-22=19', '20+49=69'] Exploring Operation: 19+69=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 49, 17, 51, 15 ]
30
[ "49+17=66", "51-15=36", "66-36=30" ]
Current State: 30:[49, 17, 51, 15], Operations: [] Exploring Operation: 49+17=66, Resulting Numbers: [51, 15, 66] Generated Node #2: [51, 15, 66] from Operation: 49+17=66 Current State: 30:[51, 15, 66], Operations: ['49+17=66'] Exploring Operation: 51-15=36, Resulting Numbers: [66, 36] Generated Node #3: [66, 36] from Operation: 51-15=36 Current State: 30:[66, 36], Operations: ['49+17=66', '51-15=36'] Exploring Operation: 66-36=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 61, 2, 2, 13 ]
47
[ "61-13=48", "2/2=1", "48-1=47" ]
Current State: 47:[61, 2, 2, 13], Operations: [] Exploring Operation: 61-13=48, Resulting Numbers: [2, 2, 48] Generated Node #2: [2, 2, 48] from Operation: 61-13=48 Current State: 47:[2, 2, 48], Operations: ['61-13=48'] Exploring Operation: 2/2=1, Resulting Numbers: [48, 1] Generated Node #3: [48, 1] from Operation: 2/2=1 Current State: 47:[48, 1], Operations: ['61-13=48', '2/2=1'] Exploring Operation: 48-1=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 76, 53, 88, 92 ]
84
[ "76-53=23", "92/23=4", "88-4=84" ]
Current State: 84:[76, 53, 88, 92], Operations: [] Exploring Operation: 76-53=23, Resulting Numbers: [88, 92, 23] Generated Node #2: [88, 92, 23] from Operation: 76-53=23 Current State: 84:[88, 92, 23], Operations: ['76-53=23'] Exploring Operation: 92/23=4, Resulting Numbers: [88, 4] Generated Node #3: [88, 4] from Operation: 92/23=4 Current State: 84:[88, 4], Operations: ['76-53=23', '92/23=4'] Exploring Operation: 88-4=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 31, 39, 84, 74 ]
60
[ "31+39=70", "84-74=10", "70-10=60" ]
Current State: 60:[31, 39, 84, 74], Operations: [] Exploring Operation: 31+39=70, Resulting Numbers: [84, 74, 70] Generated Node #2: [84, 74, 70] from Operation: 31+39=70 Current State: 60:[84, 74, 70], Operations: ['31+39=70'] Exploring Operation: 84-74=10, Resulting Numbers: [70, 10] Generated Node #3: [70, 10] from Operation: 84-74=10 Current State: 60:[70, 10], Operations: ['31+39=70', '84-74=10'] Exploring Operation: 70-10=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 49, 51, 20, 27 ]
93
[ "49+51=100", "27-20=7", "100-7=93" ]
Current State: 93:[49, 51, 20, 27], Operations: [] Exploring Operation: 49+51=100, Resulting Numbers: [20, 27, 100] Generated Node #2: [20, 27, 100] from Operation: 49+51=100 Current State: 93:[20, 27, 100], Operations: ['49+51=100'] Exploring Operation: 27-20=7, Resulting Numbers: [100, 7] Generated Node #3: [100, 7] from Operation: 27-20=7 Current State: 93:[100, 7], Operations: ['49+51=100', '27-20=7'] Exploring Operation: 100-7=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 83, 2, 15, 57 ]
55
[ "83+57=140", "140/2=70", "70-15=55" ]
Current State: 55:[83, 2, 15, 57], Operations: [] Exploring Operation: 83+57=140, Resulting Numbers: [2, 15, 140] Generated Node #2: [2, 15, 140] from Operation: 83+57=140 Current State: 55:[2, 15, 140], Operations: ['83+57=140'] Exploring Operation: 140/2=70, Resulting Numbers: [15, 70] Generated Node #3: [15, 70] from Operation: 140/2=70 Current State: 55:[15, 70], Operations: ['83+57=140', '140/2=70'] Exploring Operation: 70-15=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 83, 23, 19, 44 ]
93
[ "23-19=4", "44*4=176", "176-83=93" ]
Current State: 93:[83, 23, 19, 44], Operations: [] Exploring Operation: 23-19=4, Resulting Numbers: [83, 44, 4] Generated Node #2: [83, 44, 4] from Operation: 23-19=4 Current State: 93:[83, 44, 4], Operations: ['23-19=4'] Exploring Operation: 44*4=176, Resulting Numbers: [83, 176] Generated Node #3: [83, 176] from Operation: 44*4=176 Current State: 93:[83, 176], Operations: ['23-19=4', '44*4=176'] Exploring Operation: 176-83=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 22, 57, 53, 29 ]
94
[ "57-53=4", "29*4=116", "116-22=94" ]
Current State: 94:[22, 57, 53, 29], Operations: [] Exploring Operation: 57-53=4, Resulting Numbers: [22, 29, 4] Generated Node #2: [22, 29, 4] from Operation: 57-53=4 Current State: 94:[22, 29, 4], Operations: ['57-53=4'] Exploring Operation: 29*4=116, Resulting Numbers: [22, 116] Generated Node #3: [22, 116] from Operation: 29*4=116 Current State: 94:[22, 116], Operations: ['57-53=4', '29*4=116'] Exploring Operation: 116-22=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 17, 34, 76, 66 ]
41
[ "17+34=51", "76-66=10", "51-10=41" ]
Current State: 41:[17, 34, 76, 66], Operations: [] Exploring Operation: 17+34=51, Resulting Numbers: [76, 66, 51] Generated Node #2: [76, 66, 51] from Operation: 17+34=51 Current State: 41:[76, 66, 51], Operations: ['17+34=51'] Exploring Operation: 76-66=10, Resulting Numbers: [51, 10] Generated Node #3: [51, 10] from Operation: 76-66=10 Current State: 41:[51, 10], Operations: ['17+34=51', '76-66=10'] Exploring Operation: 51-10=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 74, 12, 21, 88 ]
90
[ "74+88=162", "12*21=252", "252-162=90" ]
Current State: 90:[74, 12, 21, 88], Operations: [] Exploring Operation: 74+88=162, Resulting Numbers: [12, 21, 162] Generated Node #2: [12, 21, 162] from Operation: 74+88=162 Current State: 90:[12, 21, 162], Operations: ['74+88=162'] Exploring Operation: 12*21=252, Resulting Numbers: [162, 252] Generated Node #3: [162, 252] from Operation: 12*21=252 Current State: 90:[162, 252], Operations: ['74+88=162', '12*21=252'] Exploring Operation: 252-162=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 43, 5, 19, 51 ]
14
[ "43*5=215", "51+215=266", "266/19=14" ]
Current State: 14:[43, 5, 19, 51], Operations: [] Exploring Operation: 43*5=215, Resulting Numbers: [19, 51, 215] Generated Node #2: [19, 51, 215] from Operation: 43*5=215 Current State: 14:[19, 51, 215], Operations: ['43*5=215'] Exploring Operation: 51+215=266, Resulting Numbers: [19, 266] Generated Node #3: [19, 266] from Operation: 51+215=266 Current State: 14:[19, 266], Operations: ['43*5=215', '51+215=266'] Exploring Operation: 266/19=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 26, 13, 78, 41 ]
47
[ "26-13=13", "78/13=6", "41+6=47" ]
Current State: 47:[26, 13, 78, 41], Operations: [] Exploring Operation: 26-13=13, Resulting Numbers: [78, 41, 13] Generated Node #2: [78, 41, 13] from Operation: 26-13=13 Current State: 47:[78, 41, 13], Operations: ['26-13=13'] Exploring Operation: 78/13=6, Resulting Numbers: [41, 6] Generated Node #3: [41, 6] from Operation: 78/13=6 Current State: 47:[41, 6], Operations: ['26-13=13', '78/13=6'] Exploring Operation: 41+6=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 67, 35, 30, 64 ]
55
[ "67-64=3", "30*3=90", "90-35=55" ]
Current State: 55:[67, 35, 30, 64], Operations: [] Exploring Operation: 67-64=3, Resulting Numbers: [35, 30, 3] Generated Node #2: [35, 30, 3] from Operation: 67-64=3 Current State: 55:[35, 30, 3], Operations: ['67-64=3'] Exploring Operation: 30*3=90, Resulting Numbers: [35, 90] Generated Node #3: [35, 90] from Operation: 30*3=90 Current State: 55:[35, 90], Operations: ['67-64=3', '30*3=90'] Exploring Operation: 90-35=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 34, 17, 58, 73 ]
88
[ "34/17=2", "73*2=146", "146-58=88" ]
Current State: 88:[34, 17, 58, 73], Operations: [] Exploring Operation: 34/17=2, Resulting Numbers: [58, 73, 2] Generated Node #2: [58, 73, 2] from Operation: 34/17=2 Current State: 88:[58, 73, 2], Operations: ['34/17=2'] Exploring Operation: 73*2=146, Resulting Numbers: [58, 146] Generated Node #3: [58, 146] from Operation: 73*2=146 Current State: 88:[58, 146], Operations: ['34/17=2', '73*2=146'] Exploring Operation: 146-58=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 93, 78, 3, 76 ]
45
[ "93-3=90", "78-76=2", "90/2=45" ]
Current State: 45:[93, 78, 3, 76], Operations: [] Exploring Operation: 93-3=90, Resulting Numbers: [78, 76, 90] Generated Node #2: [78, 76, 90] from Operation: 93-3=90 Current State: 45:[78, 76, 90], Operations: ['93-3=90'] Exploring Operation: 78-76=2, Resulting Numbers: [90, 2] Generated Node #3: [90, 2] from Operation: 78-76=2 Current State: 45:[90, 2], Operations: ['93-3=90', '78-76=2'] Exploring Operation: 90/2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 21, 84, 6, 24 ]
31
[ "21+24=45", "84/6=14", "45-14=31" ]
Current State: 31:[21, 84, 6, 24], Operations: [] Exploring Operation: 21+24=45, Resulting Numbers: [84, 6, 45] Generated Node #2: [84, 6, 45] from Operation: 21+24=45 Current State: 31:[84, 6, 45], Operations: ['21+24=45'] Exploring Operation: 84/6=14, Resulting Numbers: [45, 14] Generated Node #3: [45, 14] from Operation: 84/6=14 Current State: 31:[45, 14], Operations: ['21+24=45', '84/6=14'] Exploring Operation: 45-14=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 11, 7, 83, 20 ]
51
[ "7*83=581", "581-20=561", "561/11=51" ]
Current State: 51:[11, 7, 83, 20], Operations: [] Exploring Operation: 7*83=581, Resulting Numbers: [11, 20, 581] Generated Node #2: [11, 20, 581] from Operation: 7*83=581 Current State: 51:[11, 20, 581], Operations: ['7*83=581'] Exploring Operation: 581-20=561, Resulting Numbers: [11, 561] Generated Node #3: [11, 561] from Operation: 581-20=561 Current State: 51:[11, 561], Operations: ['7*83=581', '581-20=561'] Exploring Operation: 561/11=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 2, 44, 22, 58 ]
31
[ "58/2=29", "44/22=2", "29+2=31" ]
Current State: 31:[2, 44, 22, 58], Operations: [] Exploring Operation: 58/2=29, Resulting Numbers: [44, 22, 29] Generated Node #2: [44, 22, 29] from Operation: 58/2=29 Current State: 31:[44, 22, 29], Operations: ['58/2=29'] Exploring Operation: 44/22=2, Resulting Numbers: [29, 2] Generated Node #3: [29, 2] from Operation: 44/22=2 Current State: 31:[29, 2], Operations: ['58/2=29', '44/22=2'] Exploring Operation: 29+2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 85, 89, 76, 12 ]
31
[ "89-85=4", "76/4=19", "12+19=31" ]
Current State: 31:[85, 89, 76, 12], Operations: [] Exploring Operation: 89-85=4, Resulting Numbers: [76, 12, 4] Generated Node #2: [76, 12, 4] from Operation: 89-85=4 Current State: 31:[76, 12, 4], Operations: ['89-85=4'] Exploring Operation: 76/4=19, Resulting Numbers: [12, 19] Generated Node #3: [12, 19] from Operation: 76/4=19 Current State: 31:[12, 19], Operations: ['89-85=4', '76/4=19'] Exploring Operation: 12+19=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 23, 73, 5, 80 ]
11
[ "23+73=96", "5+80=85", "96-85=11" ]
Current State: 11:[23, 73, 5, 80], Operations: [] Exploring Operation: 23+73=96, Resulting Numbers: [5, 80, 96] Generated Node #2: [5, 80, 96] from Operation: 23+73=96 Current State: 11:[5, 80, 96], Operations: ['23+73=96'] Exploring Operation: 5+80=85, Resulting Numbers: [96, 85] Generated Node #3: [96, 85] from Operation: 5+80=85 Current State: 11:[96, 85], Operations: ['23+73=96', '5+80=85'] Exploring Operation: 96-85=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 6, 94, 17, 6 ]
75
[ "6*6=36", "94+17=111", "111-36=75" ]
Current State: 75:[6, 94, 17, 6], Operations: [] Exploring Operation: 6*6=36, Resulting Numbers: [94, 17, 36] Generated Node #2: [94, 17, 36] from Operation: 6*6=36 Current State: 75:[94, 17, 36], Operations: ['6*6=36'] Exploring Operation: 94+17=111, Resulting Numbers: [36, 111] Generated Node #3: [36, 111] from Operation: 94+17=111 Current State: 75:[36, 111], Operations: ['6*6=36', '94+17=111'] Exploring Operation: 111-36=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 2, 2, 55, 52 ]
58
[ "52/2=26", "55-26=29", "2*29=58" ]
Current State: 58:[2, 2, 55, 52], Operations: [] Exploring Operation: 52/2=26, Resulting Numbers: [55, 26] Generated Node #2: [55, 26] from Operation: 52/2=26 Current State: 58:[55, 26], Operations: ['52/2=26'] Exploring Operation: 55-26=29, Resulting Numbers: [29] 29,58 equal: Goal Reached Exploring Operation: 2*29=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4