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
[ 9, 83, 11, 41 ]
33
[ "83-11=72", "72/9=8", "41-8=33" ]
Current State: 33:[9, 83, 11, 41], Operations: [] Exploring Operation: 83-11=72, Resulting Numbers: [9, 41, 72] Generated Node #2: [9, 41, 72] from Operation: 83-11=72 Current State: 33:[9, 41, 72], Operations: ['83-11=72'] Exploring Operation: 72/9=8, Resulting Numbers: [41, 8] Generated Node #3: [41, 8] from Operation: 72/9=8 Current State: 33:[41, 8], Operations: ['83-11=72', '72/9=8'] Exploring Operation: 41-8=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 48, 17, 13, 87 ]
92
[ "48+17=65", "65/13=5", "87+5=92" ]
Current State: 92:[48, 17, 13, 87], Operations: [] Exploring Operation: 48+17=65, Resulting Numbers: [13, 87, 65] Generated Node #2: [13, 87, 65] from Operation: 48+17=65 Current State: 92:[13, 87, 65], Operations: ['48+17=65'] Exploring Operation: 65/13=5, Resulting Numbers: [87, 5] Generated Node #3: [87, 5] from Operation: 65/13=5 Current State: 92:[87, 5], Operations: ['48+17=65', '65/13=5'] Exploring Operation: 87+5=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 9, 27, 23, 56 ]
43
[ "9+27=36", "23+56=79", "79-36=43" ]
Current State: 43:[9, 27, 23, 56], Operations: [] Exploring Operation: 9+27=36, Resulting Numbers: [23, 56, 36] Generated Node #2: [23, 56, 36] from Operation: 9+27=36 Current State: 43:[23, 56, 36], Operations: ['9+27=36'] Exploring Operation: 23+56=79, Resulting Numbers: [36, 79] Generated Node #3: [36, 79] from Operation: 23+56=79 Current State: 43:[36, 79], Operations: ['9+27=36', '23+56=79'] Exploring Operation: 79-36=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 12, 12, 17, 95 ]
31
[ "17-12=5", "95/5=19", "12+19=31" ]
Current State: 31:[12, 12, 17, 95], Operations: [] Exploring Operation: 17-12=5, Resulting Numbers: [95, 5] Generated Node #2: [95, 5] from Operation: 17-12=5 Current State: 31:[95, 5], Operations: ['17-12=5'] Exploring Operation: 95/5=19, Resulting Numbers: [19] 19,31 equal: Goal Reached Exploring Operation: 12+19=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 36, 48, 69, 63 ]
15
[ "48*63=3024", "3024/36=84", "84-69=15" ]
Current State: 15:[36, 48, 69, 63], Operations: [] Exploring Operation: 48*63=3024, Resulting Numbers: [36, 69, 3024] Generated Node #2: [36, 69, 3024] from Operation: 48*63=3024 Current State: 15:[36, 69, 3024], Operations: ['48*63=3024'] Exploring Operation: 3024/36=84, Resulting Numbers: [69, 84] Generated Node #3: [69, 84] from Operation: 3024/36=84 Current State: 15:[69, 84], Operations: ['48*63=3024', '3024/36=84'] Exploring Operation: 84-69=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 45, 43, 3, 96 ]
11
[ "45+43=88", "3+96=99", "99-88=11" ]
Current State: 11:[45, 43, 3, 96], Operations: [] Exploring Operation: 45+43=88, Resulting Numbers: [3, 96, 88] Generated Node #2: [3, 96, 88] from Operation: 45+43=88 Current State: 11:[3, 96, 88], Operations: ['45+43=88'] Exploring Operation: 3+96=99, Resulting Numbers: [88, 99] Generated Node #3: [88, 99] from Operation: 3+96=99 Current State: 11:[88, 99], Operations: ['45+43=88', '3+96=99'] Exploring Operation: 99-88=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 84, 75, 11, 7 ]
54
[ "11-7=4", "84/4=21", "75-21=54" ]
Current State: 54:[84, 75, 11, 7], Operations: [] Exploring Operation: 11-7=4, Resulting Numbers: [84, 75, 4] Generated Node #2: [84, 75, 4] from Operation: 11-7=4 Current State: 54:[84, 75, 4], Operations: ['11-7=4'] Exploring Operation: 84/4=21, Resulting Numbers: [75, 21] Generated Node #3: [75, 21] from Operation: 84/4=21 Current State: 54:[75, 21], Operations: ['11-7=4', '84/4=21'] Exploring Operation: 75-21=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 19, 75, 63, 96 ]
23
[ "75-19=56", "96-63=33", "56-33=23" ]
Current State: 23:[19, 75, 63, 96], Operations: [] Exploring Operation: 75-19=56, Resulting Numbers: [63, 96, 56] Generated Node #2: [63, 96, 56] from Operation: 75-19=56 Current State: 23:[63, 96, 56], Operations: ['75-19=56'] Exploring Operation: 96-63=33, Resulting Numbers: [56, 33] Generated Node #3: [56, 33] from Operation: 96-63=33 Current State: 23:[56, 33], Operations: ['75-19=56', '96-63=33'] Exploring Operation: 56-33=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 23, 2, 76, 17 ]
87
[ "76-23=53", "2*17=34", "53+34=87" ]
Current State: 87:[23, 2, 76, 17], Operations: [] Exploring Operation: 76-23=53, Resulting Numbers: [2, 17, 53] Generated Node #2: [2, 17, 53] from Operation: 76-23=53 Current State: 87:[2, 17, 53], Operations: ['76-23=53'] Exploring Operation: 2*17=34, Resulting Numbers: [53, 34] Generated Node #3: [53, 34] from Operation: 2*17=34 Current State: 87:[53, 34], Operations: ['76-23=53', '2*17=34'] Exploring Operation: 53+34=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 45, 87, 70, 31 ]
93
[ "45+87=132", "70-31=39", "132-39=93" ]
Current State: 93:[45, 87, 70, 31], Operations: [] Exploring Operation: 45+87=132, Resulting Numbers: [70, 31, 132] Generated Node #2: [70, 31, 132] from Operation: 45+87=132 Current State: 93:[70, 31, 132], Operations: ['45+87=132'] Exploring Operation: 70-31=39, Resulting Numbers: [132, 39] Generated Node #3: [132, 39] from Operation: 70-31=39 Current State: 93:[132, 39], Operations: ['45+87=132', '70-31=39'] Exploring Operation: 132-39=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 12, 95, 36, 43 ]
28
[ "12+95=107", "36+43=79", "107-79=28" ]
Current State: 28:[12, 95, 36, 43], Operations: [] Exploring Operation: 12+95=107, Resulting Numbers: [36, 43, 107] Generated Node #2: [36, 43, 107] from Operation: 12+95=107 Current State: 28:[36, 43, 107], Operations: ['12+95=107'] Exploring Operation: 36+43=79, Resulting Numbers: [107, 79] Generated Node #3: [107, 79] from Operation: 36+43=79 Current State: 28:[107, 79], Operations: ['12+95=107', '36+43=79'] Exploring Operation: 107-79=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 47, 78, 75, 27 ]
38
[ "78-75=3", "27/3=9", "47-9=38" ]
Current State: 38:[47, 78, 75, 27], Operations: [] Exploring Operation: 78-75=3, Resulting Numbers: [47, 27, 3] Generated Node #2: [47, 27, 3] from Operation: 78-75=3 Current State: 38:[47, 27, 3], Operations: ['78-75=3'] Exploring Operation: 27/3=9, Resulting Numbers: [47, 9] Generated Node #3: [47, 9] from Operation: 27/3=9 Current State: 38:[47, 9], Operations: ['78-75=3', '27/3=9'] Exploring Operation: 47-9=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 21, 57, 79, 20 ]
20
[ "21+57=78", "79-78=1", "20*1=20" ]
Current State: 20:[21, 57, 79, 20], Operations: [] Exploring Operation: 21+57=78, Resulting Numbers: [79, 20, 78] Generated Node #2: [79, 20, 78] from Operation: 21+57=78 Current State: 20:[79, 20, 78], Operations: ['21+57=78'] Exploring Operation: 79-78=1, Resulting Numbers: [20, 1] Generated Node #3: [20, 1] from Operation: 79-78=1 Current State: 20:[20, 1], Operations: ['21+57=78', '79-78=1'] Exploring Operation: 20*1=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 97, 35, 5, 14 ]
62
[ "97+35=132", "5*14=70", "132-70=62" ]
Current State: 62:[97, 35, 5, 14], Operations: [] Exploring Operation: 97+35=132, Resulting Numbers: [5, 14, 132] Generated Node #2: [5, 14, 132] from Operation: 97+35=132 Current State: 62:[5, 14, 132], Operations: ['97+35=132'] Exploring Operation: 5*14=70, Resulting Numbers: [132, 70] Generated Node #3: [132, 70] from Operation: 5*14=70 Current State: 62:[132, 70], Operations: ['97+35=132', '5*14=70'] Exploring Operation: 132-70=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 70, 26, 10, 12 ]
31
[ "70-10=60", "60/12=5", "26+5=31" ]
Current State: 31:[70, 26, 10, 12], Operations: [] Exploring Operation: 70-10=60, Resulting Numbers: [26, 12, 60] Generated Node #2: [26, 12, 60] from Operation: 70-10=60 Current State: 31:[26, 12, 60], Operations: ['70-10=60'] Exploring Operation: 60/12=5, Resulting Numbers: [26, 5] Generated Node #3: [26, 5] from Operation: 60/12=5 Current State: 31:[26, 5], Operations: ['70-10=60', '60/12=5'] Exploring Operation: 26+5=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 81, 39, 98, 3 ]
25
[ "81+39=120", "98-3=95", "120-95=25" ]
Current State: 25:[81, 39, 98, 3], Operations: [] Exploring Operation: 81+39=120, Resulting Numbers: [98, 3, 120] Generated Node #2: [98, 3, 120] from Operation: 81+39=120 Current State: 25:[98, 3, 120], Operations: ['81+39=120'] Exploring Operation: 98-3=95, Resulting Numbers: [120, 95] Generated Node #3: [120, 95] from Operation: 98-3=95 Current State: 25:[120, 95], Operations: ['81+39=120', '98-3=95'] Exploring Operation: 120-95=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 80, 90, 11, 49 ]
49
[ "90-80=10", "11-10=1", "49*1=49" ]
Current State: 49:[80, 90, 11, 49], Operations: [] Exploring Operation: 90-80=10, Resulting Numbers: [11, 49, 10] Generated Node #2: [11, 49, 10] from Operation: 90-80=10 Current State: 49:[11, 49, 10], Operations: ['90-80=10'] Exploring Operation: 11-10=1, Resulting Numbers: [49, 1] Generated Node #3: [49, 1] from Operation: 11-10=1 Current State: 49:[49, 1], Operations: ['90-80=10', '11-10=1'] Exploring Operation: 49*1=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 89, 45, 1, 10 ]
94
[ "10-1=9", "45/9=5", "89+5=94" ]
Current State: 94:[89, 45, 1, 10], Operations: [] Exploring Operation: 10-1=9, Resulting Numbers: [89, 45, 9] Generated Node #2: [89, 45, 9] from Operation: 10-1=9 Current State: 94:[89, 45, 9], Operations: ['10-1=9'] Exploring Operation: 45/9=5, Resulting Numbers: [89, 5] Generated Node #3: [89, 5] from Operation: 45/9=5 Current State: 94:[89, 5], Operations: ['10-1=9', '45/9=5'] Exploring Operation: 89+5=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 85, 51, 8, 3 ]
79
[ "51-3=48", "48/8=6", "85-6=79" ]
Current State: 79:[85, 51, 8, 3], Operations: [] Exploring Operation: 51-3=48, Resulting Numbers: [85, 8, 48] Generated Node #2: [85, 8, 48] from Operation: 51-3=48 Current State: 79:[85, 8, 48], Operations: ['51-3=48'] Exploring Operation: 48/8=6, Resulting Numbers: [85, 6] Generated Node #3: [85, 6] from Operation: 48/8=6 Current State: 79:[85, 6], Operations: ['51-3=48', '48/8=6'] Exploring Operation: 85-6=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 18, 83, 65, 63 ]
99
[ "18+83=101", "65-63=2", "101-2=99" ]
Current State: 99:[18, 83, 65, 63], Operations: [] Exploring Operation: 18+83=101, Resulting Numbers: [65, 63, 101] Generated Node #2: [65, 63, 101] from Operation: 18+83=101 Current State: 99:[65, 63, 101], Operations: ['18+83=101'] Exploring Operation: 65-63=2, Resulting Numbers: [101, 2] Generated Node #3: [101, 2] from Operation: 65-63=2 Current State: 99:[101, 2], Operations: ['18+83=101', '65-63=2'] Exploring Operation: 101-2=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 92, 56, 41, 94 ]
30
[ "94-92=2", "56-41=15", "2*15=30" ]
Current State: 30:[92, 56, 41, 94], Operations: [] Exploring Operation: 94-92=2, Resulting Numbers: [56, 41, 2] Generated Node #2: [56, 41, 2] from Operation: 94-92=2 Current State: 30:[56, 41, 2], Operations: ['94-92=2'] Exploring Operation: 56-41=15, Resulting Numbers: [2, 15] Generated Node #3: [2, 15] from Operation: 56-41=15 Current State: 30:[2, 15], Operations: ['94-92=2', '56-41=15'] Exploring Operation: 2*15=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 66, 57, 61, 45 ]
47
[ "61*45=2745", "2745-66=2679", "2679/57=47" ]
Current State: 47:[66, 57, 61, 45], Operations: [] Exploring Operation: 61*45=2745, Resulting Numbers: [66, 57, 2745] Generated Node #2: [66, 57, 2745] from Operation: 61*45=2745 Current State: 47:[66, 57, 2745], Operations: ['61*45=2745'] Exploring Operation: 2745-66=2679, Resulting Numbers: [57, 2679] Generated Node #3: [57, 2679] from Operation: 2745-66=2679 Current State: 47:[57, 2679], Operations: ['61*45=2745', '2745-66=2679'] Exploring Operation: 2679/57=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 29, 40, 24, 73 ]
86
[ "40-29=11", "24+73=97", "97-11=86" ]
Current State: 86:[29, 40, 24, 73], Operations: [] Exploring Operation: 40-29=11, Resulting Numbers: [24, 73, 11] Generated Node #2: [24, 73, 11] from Operation: 40-29=11 Current State: 86:[24, 73, 11], Operations: ['40-29=11'] Exploring Operation: 24+73=97, Resulting Numbers: [11, 97] Generated Node #3: [11, 97] from Operation: 24+73=97 Current State: 86:[11, 97], Operations: ['40-29=11', '24+73=97'] Exploring Operation: 97-11=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 38, 57, 52, 19 ]
87
[ "38+52=90", "57/19=3", "90-3=87" ]
Current State: 87:[38, 57, 52, 19], Operations: [] Exploring Operation: 38+52=90, Resulting Numbers: [57, 19, 90] Generated Node #2: [57, 19, 90] from Operation: 38+52=90 Current State: 87:[57, 19, 90], Operations: ['38+52=90'] Exploring Operation: 57/19=3, Resulting Numbers: [90, 3] Generated Node #3: [90, 3] from Operation: 57/19=3 Current State: 87:[90, 3], Operations: ['38+52=90', '57/19=3'] Exploring Operation: 90-3=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 8, 64, 15, 16 ]
81
[ "16/8=2", "64+15=79", "2+79=81" ]
Current State: 81:[8, 64, 15, 16], Operations: [] Exploring Operation: 16/8=2, Resulting Numbers: [64, 15, 2] Generated Node #2: [64, 15, 2] from Operation: 16/8=2 Current State: 81:[64, 15, 2], Operations: ['16/8=2'] Exploring Operation: 64+15=79, Resulting Numbers: [2, 79] Generated Node #3: [2, 79] from Operation: 64+15=79 Current State: 81:[2, 79], Operations: ['16/8=2', '64+15=79'] Exploring Operation: 2+79=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 11, 99, 84, 3 ]
57
[ "99/11=9", "3*9=27", "84-27=57" ]
Current State: 57:[11, 99, 84, 3], Operations: [] Exploring Operation: 99/11=9, Resulting Numbers: [84, 3, 9] Generated Node #2: [84, 3, 9] from Operation: 99/11=9 Current State: 57:[84, 3, 9], Operations: ['99/11=9'] Exploring Operation: 3*9=27, Resulting Numbers: [84, 27] Generated Node #3: [84, 27] from Operation: 3*9=27 Current State: 57:[84, 27], Operations: ['99/11=9', '3*9=27'] Exploring Operation: 84-27=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 83, 54, 71, 31 ]
97
[ "83+54=137", "71-31=40", "137-40=97" ]
Current State: 97:[83, 54, 71, 31], Operations: [] Exploring Operation: 83+54=137, Resulting Numbers: [71, 31, 137] Generated Node #2: [71, 31, 137] from Operation: 83+54=137 Current State: 97:[71, 31, 137], Operations: ['83+54=137'] Exploring Operation: 71-31=40, Resulting Numbers: [137, 40] Generated Node #3: [137, 40] from Operation: 71-31=40 Current State: 97:[137, 40], Operations: ['83+54=137', '71-31=40'] Exploring Operation: 137-40=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 3, 2, 92, 68 ]
23
[ "3-2=1", "92-68=24", "24-1=23" ]
Current State: 23:[3, 2, 92, 68], Operations: [] Exploring Operation: 3-2=1, Resulting Numbers: [92, 68, 1] Generated Node #2: [92, 68, 1] from Operation: 3-2=1 Current State: 23:[92, 68, 1], Operations: ['3-2=1'] Exploring Operation: 92-68=24, Resulting Numbers: [1, 24] Generated Node #3: [1, 24] from Operation: 92-68=24 Current State: 23:[1, 24], Operations: ['3-2=1', '92-68=24'] Exploring Operation: 24-1=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 19, 62, 22, 19 ]
39
[ "19/19=1", "62-22=40", "40-1=39" ]
Current State: 39:[19, 62, 22, 19], Operations: [] Exploring Operation: 19/19=1, Resulting Numbers: [62, 22, 1] Generated Node #2: [62, 22, 1] from Operation: 19/19=1 Current State: 39:[62, 22, 1], Operations: ['19/19=1'] Exploring Operation: 62-22=40, Resulting Numbers: [1, 40] Generated Node #3: [1, 40] from Operation: 62-22=40 Current State: 39:[1, 40], Operations: ['19/19=1', '62-22=40'] Exploring Operation: 40-1=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 74, 3, 82, 2 ]
29
[ "74*3=222", "222/2=111", "111-82=29" ]
Current State: 29:[74, 3, 82, 2], Operations: [] Exploring Operation: 74*3=222, Resulting Numbers: [82, 2, 222] Generated Node #2: [82, 2, 222] from Operation: 74*3=222 Current State: 29:[82, 2, 222], Operations: ['74*3=222'] Exploring Operation: 222/2=111, Resulting Numbers: [82, 111] Generated Node #3: [82, 111] from Operation: 222/2=111 Current State: 29:[82, 111], Operations: ['74*3=222', '222/2=111'] Exploring Operation: 111-82=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 11, 92, 39, 37 ]
70
[ "39-37=2", "11*2=22", "92-22=70" ]
Current State: 70:[11, 92, 39, 37], Operations: [] Exploring Operation: 39-37=2, Resulting Numbers: [11, 92, 2] Generated Node #2: [11, 92, 2] from Operation: 39-37=2 Current State: 70:[11, 92, 2], Operations: ['39-37=2'] Exploring Operation: 11*2=22, Resulting Numbers: [92, 22] Generated Node #3: [92, 22] from Operation: 11*2=22 Current State: 70:[92, 22], Operations: ['39-37=2', '11*2=22'] Exploring Operation: 92-22=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 38, 27, 15, 6 ]
79
[ "38-27=11", "15*6=90", "90-11=79" ]
Current State: 79:[38, 27, 15, 6], Operations: [] Exploring Operation: 38-27=11, Resulting Numbers: [15, 6, 11] Generated Node #2: [15, 6, 11] from Operation: 38-27=11 Current State: 79:[15, 6, 11], Operations: ['38-27=11'] Exploring Operation: 15*6=90, Resulting Numbers: [11, 90] Generated Node #3: [11, 90] from Operation: 15*6=90 Current State: 79:[11, 90], Operations: ['38-27=11', '15*6=90'] Exploring Operation: 90-11=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 1, 60, 20, 39 ]
58
[ "1+39=40", "40/20=2", "60-2=58" ]
Current State: 58:[1, 60, 20, 39], Operations: [] Exploring Operation: 1+39=40, Resulting Numbers: [60, 20, 40] Generated Node #2: [60, 20, 40] from Operation: 1+39=40 Current State: 58:[60, 20, 40], Operations: ['1+39=40'] Exploring Operation: 40/20=2, Resulting Numbers: [60, 2] Generated Node #3: [60, 2] from Operation: 40/20=2 Current State: 58:[60, 2], Operations: ['1+39=40', '40/20=2'] Exploring Operation: 60-2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 22, 76, 26, 8 ]
10
[ "76-22=54", "26+54=80", "80/8=10" ]
Current State: 10:[22, 76, 26, 8], Operations: [] Exploring Operation: 76-22=54, Resulting Numbers: [26, 8, 54] Generated Node #2: [26, 8, 54] from Operation: 76-22=54 Current State: 10:[26, 8, 54], Operations: ['76-22=54'] Exploring Operation: 26+54=80, Resulting Numbers: [8, 80] Generated Node #3: [8, 80] from Operation: 26+54=80 Current State: 10:[8, 80], Operations: ['76-22=54', '26+54=80'] Exploring Operation: 80/8=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 3, 99, 92, 95 ]
11
[ "99/3=33", "95-92=3", "33/3=11" ]
Current State: 11:[3, 99, 92, 95], Operations: [] Exploring Operation: 99/3=33, Resulting Numbers: [92, 95, 33] Generated Node #2: [92, 95, 33] from Operation: 99/3=33 Current State: 11:[92, 95, 33], Operations: ['99/3=33'] Exploring Operation: 95-92=3, Resulting Numbers: [33, 3] Generated Node #3: [33, 3] from Operation: 95-92=3 Current State: 11:[33, 3], Operations: ['99/3=33', '95-92=3'] Exploring Operation: 33/3=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 67, 18, 66, 71 ]
53
[ "67-66=1", "71-18=53", "1*53=53" ]
Current State: 53:[67, 18, 66, 71], Operations: [] Exploring Operation: 67-66=1, Resulting Numbers: [18, 71, 1] Generated Node #2: [18, 71, 1] from Operation: 67-66=1 Current State: 53:[18, 71, 1], Operations: ['67-66=1'] Exploring Operation: 71-18=53, Resulting Numbers: [1, 53] Generated Node #3: [1, 53] from Operation: 71-18=53 Current State: 53:[1, 53], Operations: ['67-66=1', '71-18=53'] Exploring Operation: 1*53=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 11, 31, 38, 7 ]
87
[ "11+31=42", "38+7=45", "42+45=87" ]
Current State: 87:[11, 31, 38, 7], Operations: [] Exploring Operation: 11+31=42, Resulting Numbers: [38, 7, 42] Generated Node #2: [38, 7, 42] from Operation: 11+31=42 Current State: 87:[38, 7, 42], Operations: ['11+31=42'] Exploring Operation: 38+7=45, Resulting Numbers: [42, 45] Generated Node #3: [42, 45] from Operation: 38+7=45 Current State: 87:[42, 45], Operations: ['11+31=42', '38+7=45'] Exploring Operation: 42+45=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 51, 58, 58, 94 ]
51
[ "58-58=0", "94*0=0", "51+0=51" ]
Current State: 51:[51, 58, 58, 94], Operations: [] Exploring Operation: 58-58=0, Resulting Numbers: [51, 94, 0] Generated Node #2: [51, 94, 0] from Operation: 58-58=0 Current State: 51:[51, 94, 0], Operations: ['58-58=0'] Exploring Operation: 94*0=0, Resulting Numbers: [51, 0] Generated Node #3: [51, 0] from Operation: 94*0=0 Current State: 51:[51, 0], Operations: ['58-58=0', '94*0=0'] Exploring Operation: 51+0=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 24, 55, 48, 14 ]
45
[ "24+55=79", "48-14=34", "79-34=45" ]
Current State: 45:[24, 55, 48, 14], Operations: [] Exploring Operation: 24+55=79, Resulting Numbers: [48, 14, 79] Generated Node #2: [48, 14, 79] from Operation: 24+55=79 Current State: 45:[48, 14, 79], Operations: ['24+55=79'] Exploring Operation: 48-14=34, Resulting Numbers: [79, 34] Generated Node #3: [79, 34] from Operation: 48-14=34 Current State: 45:[79, 34], Operations: ['24+55=79', '48-14=34'] Exploring Operation: 79-34=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 69, 88, 5, 76 ]
100
[ "88-69=19", "5+76=81", "19+81=100" ]
Current State: 100:[69, 88, 5, 76], Operations: [] Exploring Operation: 88-69=19, Resulting Numbers: [5, 76, 19] Generated Node #2: [5, 76, 19] from Operation: 88-69=19 Current State: 100:[5, 76, 19], Operations: ['88-69=19'] Exploring Operation: 5+76=81, Resulting Numbers: [19, 81] Generated Node #3: [19, 81] from Operation: 5+76=81 Current State: 100:[19, 81], Operations: ['88-69=19', '5+76=81'] Exploring Operation: 19+81=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 18, 99, 11, 2 ]
36
[ "99/11=9", "2*9=18", "18+18=36" ]
Current State: 36:[18, 99, 11, 2], Operations: [] Exploring Operation: 99/11=9, Resulting Numbers: [18, 2, 9] Generated Node #2: [18, 2, 9] from Operation: 99/11=9 Current State: 36:[18, 2, 9], Operations: ['99/11=9'] Exploring Operation: 2*9=18, Resulting Numbers: [18, 18] Generated Node #3: [18, 18] from Operation: 2*9=18 Current State: 36:[18, 18], Operations: ['99/11=9', '2*9=18'] Exploring Operation: 18+18=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 18, 70, 74, 4 ]
52
[ "18+70=88", "88/4=22", "74-22=52" ]
Current State: 52:[18, 70, 74, 4], Operations: [] Exploring Operation: 18+70=88, Resulting Numbers: [74, 4, 88] Generated Node #2: [74, 4, 88] from Operation: 18+70=88 Current State: 52:[74, 4, 88], Operations: ['18+70=88'] Exploring Operation: 88/4=22, Resulting Numbers: [74, 22] Generated Node #3: [74, 22] from Operation: 88/4=22 Current State: 52:[74, 22], Operations: ['18+70=88', '88/4=22'] Exploring Operation: 74-22=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 6, 52, 18, 16 ]
65
[ "18/6=3", "52+16=68", "68-3=65" ]
Current State: 65:[6, 52, 18, 16], Operations: [] Exploring Operation: 18/6=3, Resulting Numbers: [52, 16, 3] Generated Node #2: [52, 16, 3] from Operation: 18/6=3 Current State: 65:[52, 16, 3], Operations: ['18/6=3'] Exploring Operation: 52+16=68, Resulting Numbers: [3, 68] Generated Node #3: [3, 68] from Operation: 52+16=68 Current State: 65:[3, 68], Operations: ['18/6=3', '52+16=68'] Exploring Operation: 68-3=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 18, 72, 6, 76 ]
36
[ "72+6=78", "78-76=2", "18*2=36" ]
Current State: 36:[18, 72, 6, 76], Operations: [] Exploring Operation: 72+6=78, Resulting Numbers: [18, 76, 78] Generated Node #2: [18, 76, 78] from Operation: 72+6=78 Current State: 36:[18, 76, 78], Operations: ['72+6=78'] Exploring Operation: 78-76=2, Resulting Numbers: [18, 2] Generated Node #3: [18, 2] from Operation: 78-76=2 Current State: 36:[18, 2], Operations: ['72+6=78', '78-76=2'] Exploring Operation: 18*2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 72, 67, 58, 22 ]
59
[ "72+67=139", "58+22=80", "139-80=59" ]
Current State: 59:[72, 67, 58, 22], Operations: [] Exploring Operation: 72+67=139, Resulting Numbers: [58, 22, 139] Generated Node #2: [58, 22, 139] from Operation: 72+67=139 Current State: 59:[58, 22, 139], Operations: ['72+67=139'] Exploring Operation: 58+22=80, Resulting Numbers: [139, 80] Generated Node #3: [139, 80] from Operation: 58+22=80 Current State: 59:[139, 80], Operations: ['72+67=139', '58+22=80'] Exploring Operation: 139-80=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 16, 79, 39, 53 ]
29
[ "79-16=63", "39+53=92", "92-63=29" ]
Current State: 29:[16, 79, 39, 53], Operations: [] Exploring Operation: 79-16=63, Resulting Numbers: [39, 53, 63] Generated Node #2: [39, 53, 63] from Operation: 79-16=63 Current State: 29:[39, 53, 63], Operations: ['79-16=63'] Exploring Operation: 39+53=92, Resulting Numbers: [63, 92] Generated Node #3: [63, 92] from Operation: 39+53=92 Current State: 29:[63, 92], Operations: ['79-16=63', '39+53=92'] Exploring Operation: 92-63=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 38, 60, 60, 46 ]
36
[ "60-38=22", "60-46=14", "22+14=36" ]
Current State: 36:[38, 60, 60, 46], Operations: [] Exploring Operation: 60-38=22, Resulting Numbers: [46, 22] Generated Node #2: [46, 22] from Operation: 60-38=22 Current State: 36:[46, 22], Operations: ['60-38=22'] Exploring Operation: 60-46=14, Resulting Numbers: [22, 14] Generated Node #3: [22, 14] from Operation: 60-46=14 Current State: 36:[22, 14], Operations: ['60-38=22', '60-46=14'] Exploring Operation: 22+14=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 2, 50, 70, 87 ]
97
[ "70-50=20", "20/2=10", "87+10=97" ]
Current State: 97:[2, 50, 70, 87], Operations: [] Exploring Operation: 70-50=20, Resulting Numbers: [2, 87, 20] Generated Node #2: [2, 87, 20] from Operation: 70-50=20 Current State: 97:[2, 87, 20], Operations: ['70-50=20'] Exploring Operation: 20/2=10, Resulting Numbers: [87, 10] Generated Node #3: [87, 10] from Operation: 20/2=10 Current State: 97:[87, 10], Operations: ['70-50=20', '20/2=10'] Exploring Operation: 87+10=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 5, 14, 88, 81 ]
26
[ "5+14=19", "88-81=7", "19+7=26" ]
Current State: 26:[5, 14, 88, 81], Operations: [] Exploring Operation: 5+14=19, Resulting Numbers: [88, 81, 19] Generated Node #2: [88, 81, 19] from Operation: 5+14=19 Current State: 26:[88, 81, 19], Operations: ['5+14=19'] Exploring Operation: 88-81=7, Resulting Numbers: [19, 7] Generated Node #3: [19, 7] from Operation: 88-81=7 Current State: 26:[19, 7], Operations: ['5+14=19', '88-81=7'] Exploring Operation: 19+7=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 43, 56, 6, 2 ]
73
[ "43*6=258", "258/2=129", "129-56=73" ]
Current State: 73:[43, 56, 6, 2], Operations: [] Exploring Operation: 43*6=258, Resulting Numbers: [56, 2, 258] Generated Node #2: [56, 2, 258] from Operation: 43*6=258 Current State: 73:[56, 2, 258], Operations: ['43*6=258'] Exploring Operation: 258/2=129, Resulting Numbers: [56, 129] Generated Node #3: [56, 129] from Operation: 258/2=129 Current State: 73:[56, 129], Operations: ['43*6=258', '258/2=129'] Exploring Operation: 129-56=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 95, 5, 18, 79 ]
84
[ "95-5=90", "90/18=5", "79+5=84" ]
Current State: 84:[95, 5, 18, 79], Operations: [] Exploring Operation: 95-5=90, Resulting Numbers: [18, 79, 90] Generated Node #2: [18, 79, 90] from Operation: 95-5=90 Current State: 84:[18, 79, 90], Operations: ['95-5=90'] Exploring Operation: 90/18=5, Resulting Numbers: [79, 5] Generated Node #3: [79, 5] from Operation: 90/18=5 Current State: 84:[79, 5], Operations: ['95-5=90', '90/18=5'] Exploring Operation: 79+5=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 15, 75, 6, 16 ]
26
[ "75-15=60", "60/6=10", "16+10=26" ]
Current State: 26:[15, 75, 6, 16], Operations: [] Exploring Operation: 75-15=60, Resulting Numbers: [6, 16, 60] Generated Node #2: [6, 16, 60] from Operation: 75-15=60 Current State: 26:[6, 16, 60], Operations: ['75-15=60'] Exploring Operation: 60/6=10, Resulting Numbers: [16, 10] Generated Node #3: [16, 10] from Operation: 60/6=10 Current State: 26:[16, 10], Operations: ['75-15=60', '60/6=10'] Exploring Operation: 16+10=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 35, 54, 55, 24 ]
98
[ "54-35=19", "55+24=79", "19+79=98" ]
Current State: 98:[35, 54, 55, 24], Operations: [] Exploring Operation: 54-35=19, Resulting Numbers: [55, 24, 19] Generated Node #2: [55, 24, 19] from Operation: 54-35=19 Current State: 98:[55, 24, 19], Operations: ['54-35=19'] Exploring Operation: 55+24=79, Resulting Numbers: [19, 79] Generated Node #3: [19, 79] from Operation: 55+24=79 Current State: 98:[19, 79], Operations: ['54-35=19', '55+24=79'] Exploring Operation: 19+79=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 58, 46, 25, 85 ]
48
[ "58-46=12", "85-25=60", "60-12=48" ]
Current State: 48:[58, 46, 25, 85], Operations: [] Exploring Operation: 58-46=12, Resulting Numbers: [25, 85, 12] Generated Node #2: [25, 85, 12] from Operation: 58-46=12 Current State: 48:[25, 85, 12], Operations: ['58-46=12'] Exploring Operation: 85-25=60, Resulting Numbers: [12, 60] Generated Node #3: [12, 60] from Operation: 85-25=60 Current State: 48:[12, 60], Operations: ['58-46=12', '85-25=60'] Exploring Operation: 60-12=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 89, 2, 87, 49 ]
39
[ "89+87=176", "176/2=88", "88-49=39" ]
Current State: 39:[89, 2, 87, 49], Operations: [] Exploring Operation: 89+87=176, Resulting Numbers: [2, 49, 176] Generated Node #2: [2, 49, 176] from Operation: 89+87=176 Current State: 39:[2, 49, 176], Operations: ['89+87=176'] Exploring Operation: 176/2=88, Resulting Numbers: [49, 88] Generated Node #3: [49, 88] from Operation: 176/2=88 Current State: 39:[49, 88], Operations: ['89+87=176', '176/2=88'] Exploring Operation: 88-49=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 80, 99, 6, 4 ]
61
[ "6-4=2", "80*2=160", "160-99=61" ]
Current State: 61:[80, 99, 6, 4], Operations: [] Exploring Operation: 6-4=2, Resulting Numbers: [80, 99, 2] Generated Node #2: [80, 99, 2] from Operation: 6-4=2 Current State: 61:[80, 99, 2], Operations: ['6-4=2'] Exploring Operation: 80*2=160, Resulting Numbers: [99, 160] Generated Node #3: [99, 160] from Operation: 80*2=160 Current State: 61:[99, 160], Operations: ['6-4=2', '80*2=160'] Exploring Operation: 160-99=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 11, 55, 77, 57 ]
45
[ "55+77=132", "132/11=12", "57-12=45" ]
Current State: 45:[11, 55, 77, 57], Operations: [] Exploring Operation: 55+77=132, Resulting Numbers: [11, 57, 132] Generated Node #2: [11, 57, 132] from Operation: 55+77=132 Current State: 45:[11, 57, 132], Operations: ['55+77=132'] Exploring Operation: 132/11=12, Resulting Numbers: [57, 12] Generated Node #3: [57, 12] from Operation: 132/11=12 Current State: 45:[57, 12], Operations: ['55+77=132', '132/11=12'] Exploring Operation: 57-12=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 42, 65, 76, 10 ]
42
[ "76-65=11", "11-10=1", "42*1=42" ]
Current State: 42:[42, 65, 76, 10], Operations: [] Exploring Operation: 76-65=11, Resulting Numbers: [42, 10, 11] Generated Node #2: [42, 10, 11] from Operation: 76-65=11 Current State: 42:[42, 10, 11], Operations: ['76-65=11'] Exploring Operation: 11-10=1, Resulting Numbers: [42, 1] Generated Node #3: [42, 1] from Operation: 11-10=1 Current State: 42:[42, 1], Operations: ['76-65=11', '11-10=1'] Exploring Operation: 42*1=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 61, 35, 69, 15 ]
80
[ "61-35=26", "69-15=54", "26+54=80" ]
Current State: 80:[61, 35, 69, 15], Operations: [] Exploring Operation: 61-35=26, Resulting Numbers: [69, 15, 26] Generated Node #2: [69, 15, 26] from Operation: 61-35=26 Current State: 80:[69, 15, 26], Operations: ['61-35=26'] Exploring Operation: 69-15=54, Resulting Numbers: [26, 54] Generated Node #3: [26, 54] from Operation: 69-15=54 Current State: 80:[26, 54], Operations: ['61-35=26', '69-15=54'] Exploring Operation: 26+54=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 69, 34, 37, 47 ]
93
[ "69+34=103", "47-37=10", "103-10=93" ]
Current State: 93:[69, 34, 37, 47], Operations: [] Exploring Operation: 69+34=103, Resulting Numbers: [37, 47, 103] Generated Node #2: [37, 47, 103] from Operation: 69+34=103 Current State: 93:[37, 47, 103], Operations: ['69+34=103'] Exploring Operation: 47-37=10, Resulting Numbers: [103, 10] Generated Node #3: [103, 10] from Operation: 47-37=10 Current State: 93:[103, 10], Operations: ['69+34=103', '47-37=10'] Exploring Operation: 103-10=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 48, 43, 19, 45 ]
28
[ "48-43=5", "45/5=9", "19+9=28" ]
Current State: 28:[48, 43, 19, 45], Operations: [] Exploring Operation: 48-43=5, Resulting Numbers: [19, 45, 5] Generated Node #2: [19, 45, 5] from Operation: 48-43=5 Current State: 28:[19, 45, 5], Operations: ['48-43=5'] Exploring Operation: 45/5=9, Resulting Numbers: [19, 9] Generated Node #3: [19, 9] from Operation: 45/5=9 Current State: 28:[19, 9], Operations: ['48-43=5', '45/5=9'] Exploring Operation: 19+9=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 63, 7, 33, 4 ]
42
[ "7*33=231", "231-63=168", "168/4=42" ]
Current State: 42:[63, 7, 33, 4], Operations: [] Exploring Operation: 7*33=231, Resulting Numbers: [63, 4, 231] Generated Node #2: [63, 4, 231] from Operation: 7*33=231 Current State: 42:[63, 4, 231], Operations: ['7*33=231'] Exploring Operation: 231-63=168, Resulting Numbers: [4, 168] Generated Node #3: [4, 168] from Operation: 231-63=168 Current State: 42:[4, 168], Operations: ['7*33=231', '231-63=168'] Exploring Operation: 168/4=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 57, 67, 20, 67 ]
78
[ "57+20=77", "67/67=1", "77+1=78" ]
Current State: 78:[57, 67, 20, 67], Operations: [] Exploring Operation: 57+20=77, Resulting Numbers: [67, 67, 77] Generated Node #2: [67, 67, 77] from Operation: 57+20=77 Current State: 78:[67, 67, 77], Operations: ['57+20=77'] Exploring Operation: 67/67=1, Resulting Numbers: [77, 1] Generated Node #3: [77, 1] from Operation: 67/67=1 Current State: 78:[77, 1], Operations: ['57+20=77', '67/67=1'] Exploring Operation: 77+1=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 23, 25, 88, 22 ]
55
[ "25-23=2", "88+22=110", "110/2=55" ]
Current State: 55:[23, 25, 88, 22], Operations: [] Exploring Operation: 25-23=2, Resulting Numbers: [88, 22, 2] Generated Node #2: [88, 22, 2] from Operation: 25-23=2 Current State: 55:[88, 22, 2], Operations: ['25-23=2'] Exploring Operation: 88+22=110, Resulting Numbers: [2, 110] Generated Node #3: [2, 110] from Operation: 88+22=110 Current State: 55:[2, 110], Operations: ['25-23=2', '88+22=110'] Exploring Operation: 110/2=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 14, 54, 28, 92 ]
40
[ "28/14=2", "92-54=38", "2+38=40" ]
Current State: 40:[14, 54, 28, 92], Operations: [] Exploring Operation: 28/14=2, Resulting Numbers: [54, 92, 2] Generated Node #2: [54, 92, 2] from Operation: 28/14=2 Current State: 40:[54, 92, 2], Operations: ['28/14=2'] Exploring Operation: 92-54=38, Resulting Numbers: [2, 38] Generated Node #3: [2, 38] from Operation: 92-54=38 Current State: 40:[2, 38], Operations: ['28/14=2', '92-54=38'] Exploring Operation: 2+38=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 76, 26, 99, 25 ]
83
[ "76*26=1976", "99+1976=2075", "2075/25=83" ]
Current State: 83:[76, 26, 99, 25], Operations: [] Exploring Operation: 76*26=1976, Resulting Numbers: [99, 25, 1976] Generated Node #2: [99, 25, 1976] from Operation: 76*26=1976 Current State: 83:[99, 25, 1976], Operations: ['76*26=1976'] Exploring Operation: 99+1976=2075, Resulting Numbers: [25, 2075] Generated Node #3: [25, 2075] from Operation: 99+1976=2075 Current State: 83:[25, 2075], Operations: ['76*26=1976', '99+1976=2075'] Exploring Operation: 2075/25=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 86, 45, 41, 16 ]
90
[ "45-41=4", "16/4=4", "86+4=90" ]
Current State: 90:[86, 45, 41, 16], Operations: [] Exploring Operation: 45-41=4, Resulting Numbers: [86, 16, 4] Generated Node #2: [86, 16, 4] from Operation: 45-41=4 Current State: 90:[86, 16, 4], Operations: ['45-41=4'] Exploring Operation: 16/4=4, Resulting Numbers: [86, 4] Generated Node #3: [86, 4] from Operation: 16/4=4 Current State: 90:[86, 4], Operations: ['45-41=4', '16/4=4'] Exploring Operation: 86+4=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 66, 53, 3, 62 ]
23
[ "66-53=13", "3*13=39", "62-39=23" ]
Current State: 23:[66, 53, 3, 62], Operations: [] Exploring Operation: 66-53=13, Resulting Numbers: [3, 62, 13] Generated Node #2: [3, 62, 13] from Operation: 66-53=13 Current State: 23:[3, 62, 13], Operations: ['66-53=13'] Exploring Operation: 3*13=39, Resulting Numbers: [62, 39] Generated Node #3: [62, 39] from Operation: 3*13=39 Current State: 23:[62, 39], Operations: ['66-53=13', '3*13=39'] Exploring Operation: 62-39=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 64, 10, 61, 57 ]
87
[ "64-61=3", "10*3=30", "57+30=87" ]
Current State: 87:[64, 10, 61, 57], Operations: [] Exploring Operation: 64-61=3, Resulting Numbers: [10, 57, 3] Generated Node #2: [10, 57, 3] from Operation: 64-61=3 Current State: 87:[10, 57, 3], Operations: ['64-61=3'] Exploring Operation: 10*3=30, Resulting Numbers: [57, 30] Generated Node #3: [57, 30] from Operation: 10*3=30 Current State: 87:[57, 30], Operations: ['64-61=3', '10*3=30'] Exploring Operation: 57+30=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 3, 18, 1, 27 ]
99
[ "3+1=4", "18*4=72", "27+72=99" ]
Current State: 99:[3, 18, 1, 27], Operations: [] Exploring Operation: 3+1=4, Resulting Numbers: [18, 27, 4] Generated Node #2: [18, 27, 4] from Operation: 3+1=4 Current State: 99:[18, 27, 4], Operations: ['3+1=4'] Exploring Operation: 18*4=72, Resulting Numbers: [27, 72] Generated Node #3: [27, 72] from Operation: 18*4=72 Current State: 99:[27, 72], Operations: ['3+1=4', '18*4=72'] Exploring Operation: 27+72=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 3, 7, 53, 9 ]
40
[ "7-3=4", "53-9=44", "44-4=40" ]
Current State: 40:[3, 7, 53, 9], Operations: [] Exploring Operation: 7-3=4, Resulting Numbers: [53, 9, 4] Generated Node #2: [53, 9, 4] from Operation: 7-3=4 Current State: 40:[53, 9, 4], Operations: ['7-3=4'] Exploring Operation: 53-9=44, Resulting Numbers: [4, 44] Generated Node #3: [4, 44] from Operation: 53-9=44 Current State: 40:[4, 44], Operations: ['7-3=4', '53-9=44'] Exploring Operation: 44-4=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 6, 79, 75, 12 ]
24
[ "79-6=73", "75-73=2", "12*2=24" ]
Current State: 24:[6, 79, 75, 12], Operations: [] Exploring Operation: 79-6=73, Resulting Numbers: [75, 12, 73] Generated Node #2: [75, 12, 73] from Operation: 79-6=73 Current State: 24:[75, 12, 73], Operations: ['79-6=73'] Exploring Operation: 75-73=2, Resulting Numbers: [12, 2] Generated Node #3: [12, 2] from Operation: 75-73=2 Current State: 24:[12, 2], Operations: ['79-6=73', '75-73=2'] Exploring Operation: 12*2=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 13, 84, 6, 4 ]
18
[ "13+4=17", "6*17=102", "102-84=18" ]
Current State: 18:[13, 84, 6, 4], Operations: [] Exploring Operation: 13+4=17, Resulting Numbers: [84, 6, 17] Generated Node #2: [84, 6, 17] from Operation: 13+4=17 Current State: 18:[84, 6, 17], Operations: ['13+4=17'] Exploring Operation: 6*17=102, Resulting Numbers: [84, 102] Generated Node #3: [84, 102] from Operation: 6*17=102 Current State: 18:[84, 102], Operations: ['13+4=17', '6*17=102'] Exploring Operation: 102-84=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 40, 14, 18, 5 ]
40
[ "40-14=26", "26-18=8", "5*8=40" ]
Current State: 40:[40, 14, 18, 5], Operations: [] Exploring Operation: 40-14=26, Resulting Numbers: [18, 5, 26] Generated Node #2: [18, 5, 26] from Operation: 40-14=26 Current State: 40:[18, 5, 26], Operations: ['40-14=26'] Exploring Operation: 26-18=8, Resulting Numbers: [5, 8] Generated Node #3: [5, 8] from Operation: 26-18=8 Current State: 40:[5, 8], Operations: ['40-14=26', '26-18=8'] Exploring Operation: 5*8=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 74, 51, 4, 67 ]
23
[ "74-67=7", "4*7=28", "51-28=23" ]
Current State: 23:[74, 51, 4, 67], Operations: [] Exploring Operation: 74-67=7, Resulting Numbers: [51, 4, 7] Generated Node #2: [51, 4, 7] from Operation: 74-67=7 Current State: 23:[51, 4, 7], Operations: ['74-67=7'] Exploring Operation: 4*7=28, Resulting Numbers: [51, 28] Generated Node #3: [51, 28] from Operation: 4*7=28 Current State: 23:[51, 28], Operations: ['74-67=7', '4*7=28'] Exploring Operation: 51-28=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 34, 29, 16, 85 ]
38
[ "34+29=63", "16+85=101", "101-63=38" ]
Current State: 38:[34, 29, 16, 85], Operations: [] Exploring Operation: 34+29=63, Resulting Numbers: [16, 85, 63] Generated Node #2: [16, 85, 63] from Operation: 34+29=63 Current State: 38:[16, 85, 63], Operations: ['34+29=63'] Exploring Operation: 16+85=101, Resulting Numbers: [63, 101] Generated Node #3: [63, 101] from Operation: 16+85=101 Current State: 38:[63, 101], Operations: ['34+29=63', '16+85=101'] Exploring Operation: 101-63=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 64, 33, 34, 78 ]
53
[ "64+33=97", "78-34=44", "97-44=53" ]
Current State: 53:[64, 33, 34, 78], Operations: [] Exploring Operation: 64+33=97, Resulting Numbers: [34, 78, 97] Generated Node #2: [34, 78, 97] from Operation: 64+33=97 Current State: 53:[34, 78, 97], Operations: ['64+33=97'] Exploring Operation: 78-34=44, Resulting Numbers: [97, 44] Generated Node #3: [97, 44] from Operation: 78-34=44 Current State: 53:[97, 44], Operations: ['64+33=97', '78-34=44'] Exploring Operation: 97-44=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 22, 18, 27, 22 ]
55
[ "22*27=594", "594/18=33", "22+33=55" ]
Current State: 55:[22, 18, 27, 22], Operations: [] Exploring Operation: 22*27=594, Resulting Numbers: [18, 594] Generated Node #2: [18, 594] from Operation: 22*27=594 Current State: 55:[18, 594], Operations: ['22*27=594'] Exploring Operation: 594/18=33, Resulting Numbers: [33] 33,55 equal: Goal Reached Exploring Operation: 22+33=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 19, 13, 18, 52 ]
94
[ "19*52=988", "988/13=76", "18+76=94" ]
Current State: 94:[19, 13, 18, 52], Operations: [] Exploring Operation: 19*52=988, Resulting Numbers: [13, 18, 988] Generated Node #2: [13, 18, 988] from Operation: 19*52=988 Current State: 94:[13, 18, 988], Operations: ['19*52=988'] Exploring Operation: 988/13=76, Resulting Numbers: [18, 76] Generated Node #3: [18, 76] from Operation: 988/13=76 Current State: 94:[18, 76], Operations: ['19*52=988', '988/13=76'] Exploring Operation: 18+76=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 14, 49, 47, 12 ]
22
[ "49+47=96", "96/12=8", "14+8=22" ]
Current State: 22:[14, 49, 47, 12], Operations: [] Exploring Operation: 49+47=96, Resulting Numbers: [14, 12, 96] Generated Node #2: [14, 12, 96] from Operation: 49+47=96 Current State: 22:[14, 12, 96], Operations: ['49+47=96'] Exploring Operation: 96/12=8, Resulting Numbers: [14, 8] Generated Node #3: [14, 8] from Operation: 96/12=8 Current State: 22:[14, 8], Operations: ['49+47=96', '96/12=8'] Exploring Operation: 14+8=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 19, 6, 18, 91 ]
69
[ "91-19=72", "18/6=3", "72-3=69" ]
Current State: 69:[19, 6, 18, 91], Operations: [] Exploring Operation: 91-19=72, Resulting Numbers: [6, 18, 72] Generated Node #2: [6, 18, 72] from Operation: 91-19=72 Current State: 69:[6, 18, 72], Operations: ['91-19=72'] Exploring Operation: 18/6=3, Resulting Numbers: [72, 3] Generated Node #3: [72, 3] from Operation: 18/6=3 Current State: 69:[72, 3], Operations: ['91-19=72', '18/6=3'] Exploring Operation: 72-3=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 22, 39, 73, 67 ]
55
[ "22+39=61", "73-67=6", "61-6=55" ]
Current State: 55:[22, 39, 73, 67], Operations: [] Exploring Operation: 22+39=61, Resulting Numbers: [73, 67, 61] Generated Node #2: [73, 67, 61] from Operation: 22+39=61 Current State: 55:[73, 67, 61], Operations: ['22+39=61'] Exploring Operation: 73-67=6, Resulting Numbers: [61, 6] Generated Node #3: [61, 6] from Operation: 73-67=6 Current State: 55:[61, 6], Operations: ['22+39=61', '73-67=6'] Exploring Operation: 61-6=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 80, 50, 38, 3 ]
76
[ "80-38=42", "3*42=126", "126-50=76" ]
Current State: 76:[80, 50, 38, 3], Operations: [] Exploring Operation: 80-38=42, Resulting Numbers: [50, 3, 42] Generated Node #2: [50, 3, 42] from Operation: 80-38=42 Current State: 76:[50, 3, 42], Operations: ['80-38=42'] Exploring Operation: 3*42=126, Resulting Numbers: [50, 126] Generated Node #3: [50, 126] from Operation: 3*42=126 Current State: 76:[50, 126], Operations: ['80-38=42', '3*42=126'] Exploring Operation: 126-50=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 36, 31, 96, 23 ]
68
[ "36-31=5", "96-23=73", "73-5=68" ]
Current State: 68:[36, 31, 96, 23], Operations: [] Exploring Operation: 36-31=5, Resulting Numbers: [96, 23, 5] Generated Node #2: [96, 23, 5] from Operation: 36-31=5 Current State: 68:[96, 23, 5], Operations: ['36-31=5'] Exploring Operation: 96-23=73, Resulting Numbers: [5, 73] Generated Node #3: [5, 73] from Operation: 96-23=73 Current State: 68:[5, 73], Operations: ['36-31=5', '96-23=73'] Exploring Operation: 73-5=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 39, 99, 65, 11 ]
66
[ "99+11=110", "39*110=4290", "4290/65=66" ]
Current State: 66:[39, 99, 65, 11], Operations: [] Exploring Operation: 99+11=110, Resulting Numbers: [39, 65, 110] Generated Node #2: [39, 65, 110] from Operation: 99+11=110 Current State: 66:[39, 65, 110], Operations: ['99+11=110'] Exploring Operation: 39*110=4290, Resulting Numbers: [65, 4290] Generated Node #3: [65, 4290] from Operation: 39*110=4290 Current State: 66:[65, 4290], Operations: ['99+11=110', '39*110=4290'] Exploring Operation: 4290/65=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 55, 51, 55, 50 ]
55
[ "55*51=2805", "55*50=2750", "2805-2750=55" ]
Current State: 55:[55, 51, 55, 50], Operations: [] Exploring Operation: 55*51=2805, Resulting Numbers: [50, 2805] Generated Node #2: [50, 2805] from Operation: 55*51=2805 Current State: 55:[50, 2805], Operations: ['55*51=2805'] Exploring Operation: 55*50=2750, Resulting Numbers: [2805, 2750] Generated Node #3: [2805, 2750] from Operation: 55*50=2750 Current State: 55:[2805, 2750], Operations: ['55*51=2805', '55*50=2750'] Exploring Operation: 2805-2750=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 85, 15, 68, 69 ]
81
[ "15*68=1020", "1020/85=12", "69+12=81" ]
Current State: 81:[85, 15, 68, 69], Operations: [] Exploring Operation: 15*68=1020, Resulting Numbers: [85, 69, 1020] Generated Node #2: [85, 69, 1020] from Operation: 15*68=1020 Current State: 81:[85, 69, 1020], Operations: ['15*68=1020'] Exploring Operation: 1020/85=12, Resulting Numbers: [69, 12] Generated Node #3: [69, 12] from Operation: 1020/85=12 Current State: 81:[69, 12], Operations: ['15*68=1020', '1020/85=12'] Exploring Operation: 69+12=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 37, 76, 35, 24 ]
50
[ "76-37=39", "35-24=11", "39+11=50" ]
Current State: 50:[37, 76, 35, 24], Operations: [] Exploring Operation: 76-37=39, Resulting Numbers: [35, 24, 39] Generated Node #2: [35, 24, 39] from Operation: 76-37=39 Current State: 50:[35, 24, 39], Operations: ['76-37=39'] Exploring Operation: 35-24=11, Resulting Numbers: [39, 11] Generated Node #3: [39, 11] from Operation: 35-24=11 Current State: 50:[39, 11], Operations: ['76-37=39', '35-24=11'] Exploring Operation: 39+11=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 3, 15, 64, 84 ]
77
[ "84/3=28", "64-15=49", "28+49=77" ]
Current State: 77:[3, 15, 64, 84], Operations: [] Exploring Operation: 84/3=28, Resulting Numbers: [15, 64, 28] Generated Node #2: [15, 64, 28] from Operation: 84/3=28 Current State: 77:[15, 64, 28], Operations: ['84/3=28'] Exploring Operation: 64-15=49, Resulting Numbers: [28, 49] Generated Node #3: [28, 49] from Operation: 64-15=49 Current State: 77:[28, 49], Operations: ['84/3=28', '64-15=49'] Exploring Operation: 28+49=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 58, 63, 55, 63 ]
52
[ "63-58=5", "55/5=11", "63-11=52" ]
Current State: 52:[58, 63, 55, 63], Operations: [] Exploring Operation: 63-58=5, Resulting Numbers: [55, 5] Generated Node #2: [55, 5] from Operation: 63-58=5 Current State: 52:[55, 5], Operations: ['63-58=5'] Exploring Operation: 55/5=11, Resulting Numbers: [11] 11,52 equal: Goal Reached Exploring Operation: 63-11=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 6, 11, 45, 82 ]
29
[ "6*11=66", "82-45=37", "66-37=29" ]
Current State: 29:[6, 11, 45, 82], Operations: [] Exploring Operation: 6*11=66, Resulting Numbers: [45, 82, 66] Generated Node #2: [45, 82, 66] from Operation: 6*11=66 Current State: 29:[45, 82, 66], Operations: ['6*11=66'] Exploring Operation: 82-45=37, Resulting Numbers: [66, 37] Generated Node #3: [66, 37] from Operation: 82-45=37 Current State: 29:[66, 37], Operations: ['6*11=66', '82-45=37'] Exploring Operation: 66-37=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 34, 93, 91, 49 ]
17
[ "93-34=59", "91-49=42", "59-42=17" ]
Current State: 17:[34, 93, 91, 49], Operations: [] Exploring Operation: 93-34=59, Resulting Numbers: [91, 49, 59] Generated Node #2: [91, 49, 59] from Operation: 93-34=59 Current State: 17:[91, 49, 59], Operations: ['93-34=59'] Exploring Operation: 91-49=42, Resulting Numbers: [59, 42] Generated Node #3: [59, 42] from Operation: 91-49=42 Current State: 17:[59, 42], Operations: ['93-34=59', '91-49=42'] Exploring Operation: 59-42=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 74, 37, 78, 22 ]
67
[ "74/37=2", "22/2=11", "78-11=67" ]
Current State: 67:[74, 37, 78, 22], Operations: [] Exploring Operation: 74/37=2, Resulting Numbers: [78, 22, 2] Generated Node #2: [78, 22, 2] from Operation: 74/37=2 Current State: 67:[78, 22, 2], Operations: ['74/37=2'] Exploring Operation: 22/2=11, Resulting Numbers: [78, 11] Generated Node #3: [78, 11] from Operation: 22/2=11 Current State: 67:[78, 11], Operations: ['74/37=2', '22/2=11'] Exploring Operation: 78-11=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 13, 33, 78, 7 ]
34
[ "78/13=6", "33+7=40", "40-6=34" ]
Current State: 34:[13, 33, 78, 7], Operations: [] Exploring Operation: 78/13=6, Resulting Numbers: [33, 7, 6] Generated Node #2: [33, 7, 6] from Operation: 78/13=6 Current State: 34:[33, 7, 6], Operations: ['78/13=6'] Exploring Operation: 33+7=40, Resulting Numbers: [6, 40] Generated Node #3: [6, 40] from Operation: 33+7=40 Current State: 34:[6, 40], Operations: ['78/13=6', '33+7=40'] Exploring Operation: 40-6=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 94, 89, 41, 1 ]
37
[ "94-89=5", "41+1=42", "42-5=37" ]
Current State: 37:[94, 89, 41, 1], Operations: [] Exploring Operation: 94-89=5, Resulting Numbers: [41, 1, 5] Generated Node #2: [41, 1, 5] from Operation: 94-89=5 Current State: 37:[41, 1, 5], Operations: ['94-89=5'] Exploring Operation: 41+1=42, Resulting Numbers: [5, 42] Generated Node #3: [5, 42] from Operation: 41+1=42 Current State: 37:[5, 42], Operations: ['94-89=5', '41+1=42'] Exploring Operation: 42-5=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 13, 58, 89, 46 ]
67
[ "58-46=12", "13*12=156", "156-89=67" ]
Current State: 67:[13, 58, 89, 46], Operations: [] Exploring Operation: 58-46=12, Resulting Numbers: [13, 89, 12] Generated Node #2: [13, 89, 12] from Operation: 58-46=12 Current State: 67:[13, 89, 12], Operations: ['58-46=12'] Exploring Operation: 13*12=156, Resulting Numbers: [89, 156] Generated Node #3: [89, 156] from Operation: 13*12=156 Current State: 67:[89, 156], Operations: ['58-46=12', '13*12=156'] Exploring Operation: 156-89=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 18, 1, 40, 8 ]
91
[ "18*40=720", "720/8=90", "1+90=91" ]
Current State: 91:[18, 1, 40, 8], Operations: [] Exploring Operation: 18*40=720, Resulting Numbers: [1, 8, 720] Generated Node #2: [1, 8, 720] from Operation: 18*40=720 Current State: 91:[1, 8, 720], Operations: ['18*40=720'] Exploring Operation: 720/8=90, Resulting Numbers: [1, 90] Generated Node #3: [1, 90] from Operation: 720/8=90 Current State: 91:[1, 90], Operations: ['18*40=720', '720/8=90'] Exploring Operation: 1+90=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 49, 4, 3, 39 ]
76
[ "49+39=88", "4*3=12", "88-12=76" ]
Current State: 76:[49, 4, 3, 39], Operations: [] Exploring Operation: 49+39=88, Resulting Numbers: [4, 3, 88] Generated Node #2: [4, 3, 88] from Operation: 49+39=88 Current State: 76:[4, 3, 88], Operations: ['49+39=88'] Exploring Operation: 4*3=12, Resulting Numbers: [88, 12] Generated Node #3: [88, 12] from Operation: 4*3=12 Current State: 76:[88, 12], Operations: ['49+39=88', '4*3=12'] Exploring Operation: 88-12=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 34, 44, 58, 11 ]
78
[ "34*44=1496", "1496/11=136", "136-58=78" ]
Current State: 78:[34, 44, 58, 11], Operations: [] Exploring Operation: 34*44=1496, Resulting Numbers: [58, 11, 1496] Generated Node #2: [58, 11, 1496] from Operation: 34*44=1496 Current State: 78:[58, 11, 1496], Operations: ['34*44=1496'] Exploring Operation: 1496/11=136, Resulting Numbers: [58, 136] Generated Node #3: [58, 136] from Operation: 1496/11=136 Current State: 78:[58, 136], Operations: ['34*44=1496', '1496/11=136'] Exploring Operation: 136-58=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 68, 71, 97, 28 ]
70
[ "68+71=139", "97-28=69", "139-69=70" ]
Current State: 70:[68, 71, 97, 28], Operations: [] Exploring Operation: 68+71=139, Resulting Numbers: [97, 28, 139] Generated Node #2: [97, 28, 139] from Operation: 68+71=139 Current State: 70:[97, 28, 139], Operations: ['68+71=139'] Exploring Operation: 97-28=69, Resulting Numbers: [139, 69] Generated Node #3: [139, 69] from Operation: 97-28=69 Current State: 70:[139, 69], Operations: ['68+71=139', '97-28=69'] Exploring Operation: 139-69=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4