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
[ 76, 2, 34, 52 ]
98
[ "76+52=128", "128/2=64", "34+64=98" ]
Current State: 98:[76, 2, 34, 52], Operations: [] Exploring Operation: 76+52=128, Resulting Numbers: [2, 34, 128] Generated Node #2: [2, 34, 128] from Operation: 76+52=128 Current State: 98:[2, 34, 128], Operations: ['76+52=128'] Exploring Operation: 128/2=64, Resulting Numbers: [34, 64] Generated Node #3: [34, 64] from Operation: 128/2=64 Current State: 98:[34, 64], Operations: ['76+52=128', '128/2=64'] Exploring Operation: 34+64=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 15, 90, 17, 56 ]
32
[ "15+90=105", "17+56=73", "105-73=32" ]
Current State: 32:[15, 90, 17, 56], Operations: [] Exploring Operation: 15+90=105, Resulting Numbers: [17, 56, 105] Generated Node #2: [17, 56, 105] from Operation: 15+90=105 Current State: 32:[17, 56, 105], Operations: ['15+90=105'] Exploring Operation: 17+56=73, Resulting Numbers: [105, 73] Generated Node #3: [105, 73] from Operation: 17+56=73 Current State: 32:[105, 73], Operations: ['15+90=105', '17+56=73'] Exploring Operation: 105-73=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 38, 20, 4, 49 ]
55
[ "49-38=11", "20/4=5", "11*5=55" ]
Current State: 55:[38, 20, 4, 49], Operations: [] Exploring Operation: 49-38=11, Resulting Numbers: [20, 4, 11] Generated Node #2: [20, 4, 11] from Operation: 49-38=11 Current State: 55:[20, 4, 11], Operations: ['49-38=11'] Exploring Operation: 20/4=5, Resulting Numbers: [11, 5] Generated Node #3: [11, 5] from Operation: 20/4=5 Current State: 55:[11, 5], Operations: ['49-38=11', '20/4=5'] Exploring Operation: 11*5=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 6, 76, 16, 73 ]
66
[ "6+16=22", "76-73=3", "22*3=66" ]
Current State: 66:[6, 76, 16, 73], Operations: [] Exploring Operation: 6+16=22, Resulting Numbers: [76, 73, 22] Generated Node #2: [76, 73, 22] from Operation: 6+16=22 Current State: 66:[76, 73, 22], Operations: ['6+16=22'] Exploring Operation: 76-73=3, Resulting Numbers: [22, 3] Generated Node #3: [22, 3] from Operation: 76-73=3 Current State: 66:[22, 3], Operations: ['6+16=22', '76-73=3'] Exploring Operation: 22*3=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 90, 99, 99, 25 ]
65
[ "90+99=189", "99+25=124", "189-124=65" ]
Current State: 65:[90, 99, 99, 25], Operations: [] Exploring Operation: 90+99=189, Resulting Numbers: [25, 189] Generated Node #2: [25, 189] from Operation: 90+99=189 Current State: 65:[25, 189], Operations: ['90+99=189'] Exploring Operation: 99+25=124, Resulting Numbers: [189, 124] Generated Node #3: [189, 124] from Operation: 99+25=124 Current State: 65:[189, 124], Operations: ['90+99=189', '99+25=124'] Exploring Operation: 189-124=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 26, 44, 49, 3 ]
73
[ "26*3=78", "49-44=5", "78-5=73" ]
Current State: 73:[26, 44, 49, 3], Operations: [] Exploring Operation: 26*3=78, Resulting Numbers: [44, 49, 78] Generated Node #2: [44, 49, 78] from Operation: 26*3=78 Current State: 73:[44, 49, 78], Operations: ['26*3=78'] Exploring Operation: 49-44=5, Resulting Numbers: [78, 5] Generated Node #3: [78, 5] from Operation: 49-44=5 Current State: 73:[78, 5], Operations: ['26*3=78', '49-44=5'] Exploring Operation: 78-5=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 42, 9, 82, 6 ]
84
[ "42/6=7", "9+82=91", "91-7=84" ]
Current State: 84:[42, 9, 82, 6], Operations: [] Exploring Operation: 42/6=7, Resulting Numbers: [9, 82, 7] Generated Node #2: [9, 82, 7] from Operation: 42/6=7 Current State: 84:[9, 82, 7], Operations: ['42/6=7'] Exploring Operation: 9+82=91, Resulting Numbers: [7, 91] Generated Node #3: [7, 91] from Operation: 9+82=91 Current State: 84:[7, 91], Operations: ['42/6=7', '9+82=91'] Exploring Operation: 91-7=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 37, 87, 25, 42 ]
67
[ "87-37=50", "42-25=17", "50+17=67" ]
Current State: 67:[37, 87, 25, 42], Operations: [] Exploring Operation: 87-37=50, Resulting Numbers: [25, 42, 50] Generated Node #2: [25, 42, 50] from Operation: 87-37=50 Current State: 67:[25, 42, 50], Operations: ['87-37=50'] Exploring Operation: 42-25=17, Resulting Numbers: [50, 17] Generated Node #3: [50, 17] from Operation: 42-25=17 Current State: 67:[50, 17], Operations: ['87-37=50', '42-25=17'] Exploring Operation: 50+17=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 34, 78, 21, 28 ]
93
[ "78-34=44", "21+28=49", "44+49=93" ]
Current State: 93:[34, 78, 21, 28], Operations: [] Exploring Operation: 78-34=44, Resulting Numbers: [21, 28, 44] Generated Node #2: [21, 28, 44] from Operation: 78-34=44 Current State: 93:[21, 28, 44], Operations: ['78-34=44'] Exploring Operation: 21+28=49, Resulting Numbers: [44, 49] Generated Node #3: [44, 49] from Operation: 21+28=49 Current State: 93:[44, 49], Operations: ['78-34=44', '21+28=49'] Exploring Operation: 44+49=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 56, 6, 44, 4 ]
36
[ "56-44=12", "6*4=24", "12+24=36" ]
Current State: 36:[56, 6, 44, 4], Operations: [] Exploring Operation: 56-44=12, Resulting Numbers: [6, 4, 12] Generated Node #2: [6, 4, 12] from Operation: 56-44=12 Current State: 36:[6, 4, 12], Operations: ['56-44=12'] Exploring Operation: 6*4=24, Resulting Numbers: [12, 24] Generated Node #3: [12, 24] from Operation: 6*4=24 Current State: 36:[12, 24], Operations: ['56-44=12', '6*4=24'] Exploring Operation: 12+24=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 69, 19, 13, 33 ]
73
[ "19+33=52", "52/13=4", "69+4=73" ]
Current State: 73:[69, 19, 13, 33], Operations: [] Exploring Operation: 19+33=52, Resulting Numbers: [69, 13, 52] Generated Node #2: [69, 13, 52] from Operation: 19+33=52 Current State: 73:[69, 13, 52], Operations: ['19+33=52'] Exploring Operation: 52/13=4, Resulting Numbers: [69, 4] Generated Node #3: [69, 4] from Operation: 52/13=4 Current State: 73:[69, 4], Operations: ['19+33=52', '52/13=4'] Exploring Operation: 69+4=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 73, 90, 3, 9 ]
94
[ "73-9=64", "90/3=30", "64+30=94" ]
Current State: 94:[73, 90, 3, 9], Operations: [] Exploring Operation: 73-9=64, Resulting Numbers: [90, 3, 64] Generated Node #2: [90, 3, 64] from Operation: 73-9=64 Current State: 94:[90, 3, 64], Operations: ['73-9=64'] Exploring Operation: 90/3=30, Resulting Numbers: [64, 30] Generated Node #3: [64, 30] from Operation: 90/3=30 Current State: 94:[64, 30], Operations: ['73-9=64', '90/3=30'] Exploring Operation: 64+30=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 13, 45, 57, 29 ]
86
[ "13+45=58", "57-29=28", "58+28=86" ]
Current State: 86:[13, 45, 57, 29], Operations: [] Exploring Operation: 13+45=58, Resulting Numbers: [57, 29, 58] Generated Node #2: [57, 29, 58] from Operation: 13+45=58 Current State: 86:[57, 29, 58], Operations: ['13+45=58'] Exploring Operation: 57-29=28, Resulting Numbers: [58, 28] Generated Node #3: [58, 28] from Operation: 57-29=28 Current State: 86:[58, 28], Operations: ['13+45=58', '57-29=28'] Exploring Operation: 58+28=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 53, 45, 1, 81 ]
90
[ "53-45=8", "1+81=82", "8+82=90" ]
Current State: 90:[53, 45, 1, 81], Operations: [] Exploring Operation: 53-45=8, Resulting Numbers: [1, 81, 8] Generated Node #2: [1, 81, 8] from Operation: 53-45=8 Current State: 90:[1, 81, 8], Operations: ['53-45=8'] Exploring Operation: 1+81=82, Resulting Numbers: [8, 82] Generated Node #3: [8, 82] from Operation: 1+81=82 Current State: 90:[8, 82], Operations: ['53-45=8', '1+81=82'] Exploring Operation: 8+82=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 17, 95, 84, 12 ]
85
[ "95-17=78", "84/12=7", "78+7=85" ]
Current State: 85:[17, 95, 84, 12], Operations: [] Exploring Operation: 95-17=78, Resulting Numbers: [84, 12, 78] Generated Node #2: [84, 12, 78] from Operation: 95-17=78 Current State: 85:[84, 12, 78], Operations: ['95-17=78'] Exploring Operation: 84/12=7, Resulting Numbers: [78, 7] Generated Node #3: [78, 7] from Operation: 84/12=7 Current State: 85:[78, 7], Operations: ['95-17=78', '84/12=7'] Exploring Operation: 78+7=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 78, 5, 98, 3 ]
77
[ "78/3=26", "5+98=103", "103-26=77" ]
Current State: 77:[78, 5, 98, 3], Operations: [] Exploring Operation: 78/3=26, Resulting Numbers: [5, 98, 26] Generated Node #2: [5, 98, 26] from Operation: 78/3=26 Current State: 77:[5, 98, 26], Operations: ['78/3=26'] Exploring Operation: 5+98=103, Resulting Numbers: [26, 103] Generated Node #3: [26, 103] from Operation: 5+98=103 Current State: 77:[26, 103], Operations: ['78/3=26', '5+98=103'] Exploring Operation: 103-26=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 98, 96, 74, 99 ]
95
[ "98-74=24", "96/24=4", "99-4=95" ]
Current State: 95:[98, 96, 74, 99], Operations: [] Exploring Operation: 98-74=24, Resulting Numbers: [96, 99, 24] Generated Node #2: [96, 99, 24] from Operation: 98-74=24 Current State: 95:[96, 99, 24], Operations: ['98-74=24'] Exploring Operation: 96/24=4, Resulting Numbers: [99, 4] Generated Node #3: [99, 4] from Operation: 96/24=4 Current State: 95:[99, 4], Operations: ['98-74=24', '96/24=4'] Exploring Operation: 99-4=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 1, 43, 47, 75 ]
70
[ "43-1=42", "75-47=28", "42+28=70" ]
Current State: 70:[1, 43, 47, 75], Operations: [] Exploring Operation: 43-1=42, Resulting Numbers: [47, 75, 42] Generated Node #2: [47, 75, 42] from Operation: 43-1=42 Current State: 70:[47, 75, 42], Operations: ['43-1=42'] Exploring Operation: 75-47=28, Resulting Numbers: [42, 28] Generated Node #3: [42, 28] from Operation: 75-47=28 Current State: 70:[42, 28], Operations: ['43-1=42', '75-47=28'] Exploring Operation: 42+28=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 29, 19, 48, 17 ]
75
[ "29-19=10", "48+17=65", "10+65=75" ]
Current State: 75:[29, 19, 48, 17], Operations: [] Exploring Operation: 29-19=10, Resulting Numbers: [48, 17, 10] Generated Node #2: [48, 17, 10] from Operation: 29-19=10 Current State: 75:[48, 17, 10], Operations: ['29-19=10'] Exploring Operation: 48+17=65, Resulting Numbers: [10, 65] Generated Node #3: [10, 65] from Operation: 48+17=65 Current State: 75:[10, 65], Operations: ['29-19=10', '48+17=65'] Exploring Operation: 10+65=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 72, 34, 99, 89 ]
97
[ "89-72=17", "34/17=2", "99-2=97" ]
Current State: 97:[72, 34, 99, 89], Operations: [] Exploring Operation: 89-72=17, Resulting Numbers: [34, 99, 17] Generated Node #2: [34, 99, 17] from Operation: 89-72=17 Current State: 97:[34, 99, 17], Operations: ['89-72=17'] Exploring Operation: 34/17=2, Resulting Numbers: [99, 2] Generated Node #3: [99, 2] from Operation: 34/17=2 Current State: 97:[99, 2], Operations: ['89-72=17', '34/17=2'] Exploring Operation: 99-2=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 40, 78, 30, 39 ]
49
[ "40+78=118", "30+39=69", "118-69=49" ]
Current State: 49:[40, 78, 30, 39], Operations: [] Exploring Operation: 40+78=118, Resulting Numbers: [30, 39, 118] Generated Node #2: [30, 39, 118] from Operation: 40+78=118 Current State: 49:[30, 39, 118], Operations: ['40+78=118'] Exploring Operation: 30+39=69, Resulting Numbers: [118, 69] Generated Node #3: [118, 69] from Operation: 30+39=69 Current State: 49:[118, 69], Operations: ['40+78=118', '30+39=69'] Exploring Operation: 118-69=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 88, 29, 45, 76 ]
86
[ "88+29=117", "76-45=31", "117-31=86" ]
Current State: 86:[88, 29, 45, 76], Operations: [] Exploring Operation: 88+29=117, Resulting Numbers: [45, 76, 117] Generated Node #2: [45, 76, 117] from Operation: 88+29=117 Current State: 86:[45, 76, 117], Operations: ['88+29=117'] Exploring Operation: 76-45=31, Resulting Numbers: [117, 31] Generated Node #3: [117, 31] from Operation: 76-45=31 Current State: 86:[117, 31], Operations: ['88+29=117', '76-45=31'] Exploring Operation: 117-31=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 53, 47, 15, 7 ]
51
[ "53+7=60", "60/15=4", "47+4=51" ]
Current State: 51:[53, 47, 15, 7], Operations: [] Exploring Operation: 53+7=60, Resulting Numbers: [47, 15, 60] Generated Node #2: [47, 15, 60] from Operation: 53+7=60 Current State: 51:[47, 15, 60], Operations: ['53+7=60'] Exploring Operation: 60/15=4, Resulting Numbers: [47, 4] Generated Node #3: [47, 4] from Operation: 60/15=4 Current State: 51:[47, 4], Operations: ['53+7=60', '60/15=4'] Exploring Operation: 47+4=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 99, 2, 14, 67 ]
16
[ "99-2=97", "14+67=81", "97-81=16" ]
Current State: 16:[99, 2, 14, 67], Operations: [] Exploring Operation: 99-2=97, Resulting Numbers: [14, 67, 97] Generated Node #2: [14, 67, 97] from Operation: 99-2=97 Current State: 16:[14, 67, 97], Operations: ['99-2=97'] Exploring Operation: 14+67=81, Resulting Numbers: [97, 81] Generated Node #3: [97, 81] from Operation: 14+67=81 Current State: 16:[97, 81], Operations: ['99-2=97', '14+67=81'] Exploring Operation: 97-81=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 67, 38, 37, 25 ]
92
[ "67+25=92", "38-37=1", "92*1=92" ]
Current State: 92:[67, 38, 37, 25], Operations: [] Exploring Operation: 67+25=92, Resulting Numbers: [38, 37, 92] Generated Node #2: [38, 37, 92] from Operation: 67+25=92 Current State: 92:[38, 37, 92], Operations: ['67+25=92'] Exploring Operation: 38-37=1, Resulting Numbers: [92, 1] Generated Node #3: [92, 1] from Operation: 38-37=1 Current State: 92:[92, 1], Operations: ['67+25=92', '38-37=1'] Exploring Operation: 92*1=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 30, 57, 5, 60 ]
11
[ "60/30=2", "57-2=55", "55/5=11" ]
Current State: 11:[30, 57, 5, 60], Operations: [] Exploring Operation: 60/30=2, Resulting Numbers: [57, 5, 2] Generated Node #2: [57, 5, 2] from Operation: 60/30=2 Current State: 11:[57, 5, 2], Operations: ['60/30=2'] Exploring Operation: 57-2=55, Resulting Numbers: [5, 55] Generated Node #3: [5, 55] from Operation: 57-2=55 Current State: 11:[5, 55], Operations: ['60/30=2', '57-2=55'] Exploring Operation: 55/5=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 9, 54, 70, 68 ]
90
[ "54-9=45", "70-68=2", "45*2=90" ]
Current State: 90:[9, 54, 70, 68], Operations: [] Exploring Operation: 54-9=45, Resulting Numbers: [70, 68, 45] Generated Node #2: [70, 68, 45] from Operation: 54-9=45 Current State: 90:[70, 68, 45], Operations: ['54-9=45'] Exploring Operation: 70-68=2, Resulting Numbers: [45, 2] Generated Node #3: [45, 2] from Operation: 70-68=2 Current State: 90:[45, 2], Operations: ['54-9=45', '70-68=2'] Exploring Operation: 45*2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 86, 85, 44, 55 ]
99
[ "86-85=1", "44+55=99", "1*99=99" ]
Current State: 99:[86, 85, 44, 55], Operations: [] Exploring Operation: 86-85=1, Resulting Numbers: [44, 55, 1] Generated Node #2: [44, 55, 1] from Operation: 86-85=1 Current State: 99:[44, 55, 1], Operations: ['86-85=1'] Exploring Operation: 44+55=99, Resulting Numbers: [1, 99] Generated Node #3: [1, 99] from Operation: 44+55=99 Current State: 99:[1, 99], Operations: ['86-85=1', '44+55=99'] Exploring Operation: 1*99=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 98, 51, 46, 19 ]
19
[ "98-51=47", "47-46=1", "19*1=19" ]
Current State: 19:[98, 51, 46, 19], Operations: [] Exploring Operation: 98-51=47, Resulting Numbers: [46, 19, 47] Generated Node #2: [46, 19, 47] from Operation: 98-51=47 Current State: 19:[46, 19, 47], Operations: ['98-51=47'] Exploring Operation: 47-46=1, Resulting Numbers: [19, 1] Generated Node #3: [19, 1] from Operation: 47-46=1 Current State: 19:[19, 1], Operations: ['98-51=47', '47-46=1'] Exploring Operation: 19*1=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 80, 76, 66, 27 ]
97
[ "80-76=4", "66+27=93", "4+93=97" ]
Current State: 97:[80, 76, 66, 27], Operations: [] Exploring Operation: 80-76=4, Resulting Numbers: [66, 27, 4] Generated Node #2: [66, 27, 4] from Operation: 80-76=4 Current State: 97:[66, 27, 4], Operations: ['80-76=4'] Exploring Operation: 66+27=93, Resulting Numbers: [4, 93] Generated Node #3: [4, 93] from Operation: 66+27=93 Current State: 97:[4, 93], Operations: ['80-76=4', '66+27=93'] Exploring Operation: 4+93=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 20, 35, 21, 14 ]
62
[ "20+35=55", "21-14=7", "55+7=62" ]
Current State: 62:[20, 35, 21, 14], Operations: [] Exploring Operation: 20+35=55, Resulting Numbers: [21, 14, 55] Generated Node #2: [21, 14, 55] from Operation: 20+35=55 Current State: 62:[21, 14, 55], Operations: ['20+35=55'] Exploring Operation: 21-14=7, Resulting Numbers: [55, 7] Generated Node #3: [55, 7] from Operation: 21-14=7 Current State: 62:[55, 7], Operations: ['20+35=55', '21-14=7'] Exploring Operation: 55+7=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 40, 5, 8, 80 ]
15
[ "40*5=200", "200-80=120", "120/8=15" ]
Current State: 15:[40, 5, 8, 80], Operations: [] Exploring Operation: 40*5=200, Resulting Numbers: [8, 80, 200] Generated Node #2: [8, 80, 200] from Operation: 40*5=200 Current State: 15:[8, 80, 200], Operations: ['40*5=200'] Exploring Operation: 200-80=120, Resulting Numbers: [8, 120] Generated Node #3: [8, 120] from Operation: 200-80=120 Current State: 15:[8, 120], Operations: ['40*5=200', '200-80=120'] Exploring Operation: 120/8=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 70, 88, 86, 8 ]
39
[ "70+8=78", "88-86=2", "78/2=39" ]
Current State: 39:[70, 88, 86, 8], Operations: [] Exploring Operation: 70+8=78, Resulting Numbers: [88, 86, 78] Generated Node #2: [88, 86, 78] from Operation: 70+8=78 Current State: 39:[88, 86, 78], Operations: ['70+8=78'] Exploring Operation: 88-86=2, Resulting Numbers: [78, 2] Generated Node #3: [78, 2] from Operation: 88-86=2 Current State: 39:[78, 2], Operations: ['70+8=78', '88-86=2'] Exploring Operation: 78/2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 28, 38, 38, 25 ]
23
[ "38-28=10", "38-25=13", "10+13=23" ]
Current State: 23:[28, 38, 38, 25], Operations: [] Exploring Operation: 38-28=10, Resulting Numbers: [25, 10] Generated Node #2: [25, 10] from Operation: 38-28=10 Current State: 23:[25, 10], Operations: ['38-28=10'] Exploring Operation: 38-25=13, Resulting Numbers: [10, 13] Generated Node #3: [10, 13] from Operation: 38-25=13 Current State: 23:[10, 13], Operations: ['38-28=10', '38-25=13'] Exploring Operation: 10+13=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 50, 52, 27, 33 ]
66
[ "50*33=1650", "52-27=25", "1650/25=66" ]
Current State: 66:[50, 52, 27, 33], Operations: [] Exploring Operation: 50*33=1650, Resulting Numbers: [52, 27, 1650] Generated Node #2: [52, 27, 1650] from Operation: 50*33=1650 Current State: 66:[52, 27, 1650], Operations: ['50*33=1650'] Exploring Operation: 52-27=25, Resulting Numbers: [1650, 25] Generated Node #3: [1650, 25] from Operation: 52-27=25 Current State: 66:[1650, 25], Operations: ['50*33=1650', '52-27=25'] Exploring Operation: 1650/25=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 60, 21, 34, 58 ]
63
[ "60-21=39", "58-34=24", "39+24=63" ]
Current State: 63:[60, 21, 34, 58], Operations: [] Exploring Operation: 60-21=39, Resulting Numbers: [34, 58, 39] Generated Node #2: [34, 58, 39] from Operation: 60-21=39 Current State: 63:[34, 58, 39], Operations: ['60-21=39'] Exploring Operation: 58-34=24, Resulting Numbers: [39, 24] Generated Node #3: [39, 24] from Operation: 58-34=24 Current State: 63:[39, 24], Operations: ['60-21=39', '58-34=24'] Exploring Operation: 39+24=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 37, 15, 59, 77 ]
84
[ "37+15=52", "59+77=136", "136-52=84" ]
Current State: 84:[37, 15, 59, 77], Operations: [] Exploring Operation: 37+15=52, Resulting Numbers: [59, 77, 52] Generated Node #2: [59, 77, 52] from Operation: 37+15=52 Current State: 84:[59, 77, 52], Operations: ['37+15=52'] Exploring Operation: 59+77=136, Resulting Numbers: [52, 136] Generated Node #3: [52, 136] from Operation: 59+77=136 Current State: 84:[52, 136], Operations: ['37+15=52', '59+77=136'] Exploring Operation: 136-52=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 39, 74, 4, 70 ]
37
[ "39-4=35", "74*35=2590", "2590/70=37" ]
Current State: 37:[39, 74, 4, 70], Operations: [] Exploring Operation: 39-4=35, Resulting Numbers: [74, 70, 35] Generated Node #2: [74, 70, 35] from Operation: 39-4=35 Current State: 37:[74, 70, 35], Operations: ['39-4=35'] Exploring Operation: 74*35=2590, Resulting Numbers: [70, 2590] Generated Node #3: [70, 2590] from Operation: 74*35=2590 Current State: 37:[70, 2590], Operations: ['39-4=35', '74*35=2590'] Exploring Operation: 2590/70=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 85, 14, 30, 23 ]
83
[ "30-23=7", "14/7=2", "85-2=83" ]
Current State: 83:[85, 14, 30, 23], Operations: [] Exploring Operation: 30-23=7, Resulting Numbers: [85, 14, 7] Generated Node #2: [85, 14, 7] from Operation: 30-23=7 Current State: 83:[85, 14, 7], Operations: ['30-23=7'] Exploring Operation: 14/7=2, Resulting Numbers: [85, 2] Generated Node #3: [85, 2] from Operation: 14/7=2 Current State: 83:[85, 2], Operations: ['30-23=7', '14/7=2'] Exploring Operation: 85-2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 7, 27, 24, 3 ]
84
[ "27-7=20", "3*20=60", "24+60=84" ]
Current State: 84:[7, 27, 24, 3], Operations: [] Exploring Operation: 27-7=20, Resulting Numbers: [24, 3, 20] Generated Node #2: [24, 3, 20] from Operation: 27-7=20 Current State: 84:[24, 3, 20], Operations: ['27-7=20'] Exploring Operation: 3*20=60, Resulting Numbers: [24, 60] Generated Node #3: [24, 60] from Operation: 3*20=60 Current State: 84:[24, 60], Operations: ['27-7=20', '3*20=60'] Exploring Operation: 24+60=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 32, 48, 19, 16 ]
35
[ "32*19=608", "608-48=560", "560/16=35" ]
Current State: 35:[32, 48, 19, 16], Operations: [] Exploring Operation: 32*19=608, Resulting Numbers: [48, 16, 608] Generated Node #2: [48, 16, 608] from Operation: 32*19=608 Current State: 35:[48, 16, 608], Operations: ['32*19=608'] Exploring Operation: 608-48=560, Resulting Numbers: [16, 560] Generated Node #3: [16, 560] from Operation: 608-48=560 Current State: 35:[16, 560], Operations: ['32*19=608', '608-48=560'] Exploring Operation: 560/16=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 57, 39, 27, 40 ]
52
[ "57-27=30", "39*40=1560", "1560/30=52" ]
Current State: 52:[57, 39, 27, 40], Operations: [] Exploring Operation: 57-27=30, Resulting Numbers: [39, 40, 30] Generated Node #2: [39, 40, 30] from Operation: 57-27=30 Current State: 52:[39, 40, 30], Operations: ['57-27=30'] Exploring Operation: 39*40=1560, Resulting Numbers: [30, 1560] Generated Node #3: [30, 1560] from Operation: 39*40=1560 Current State: 52:[30, 1560], Operations: ['57-27=30', '39*40=1560'] Exploring Operation: 1560/30=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 41, 72, 60, 4 ]
57
[ "41+72=113", "60-4=56", "113-56=57" ]
Current State: 57:[41, 72, 60, 4], Operations: [] Exploring Operation: 41+72=113, Resulting Numbers: [60, 4, 113] Generated Node #2: [60, 4, 113] from Operation: 41+72=113 Current State: 57:[60, 4, 113], Operations: ['41+72=113'] Exploring Operation: 60-4=56, Resulting Numbers: [113, 56] Generated Node #3: [113, 56] from Operation: 60-4=56 Current State: 57:[113, 56], Operations: ['41+72=113', '60-4=56'] Exploring Operation: 113-56=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 83, 16, 34, 70 ]
63
[ "83+16=99", "70-34=36", "99-36=63" ]
Current State: 63:[83, 16, 34, 70], Operations: [] Exploring Operation: 83+16=99, Resulting Numbers: [34, 70, 99] Generated Node #2: [34, 70, 99] from Operation: 83+16=99 Current State: 63:[34, 70, 99], Operations: ['83+16=99'] Exploring Operation: 70-34=36, Resulting Numbers: [99, 36] Generated Node #3: [99, 36] from Operation: 70-34=36 Current State: 63:[99, 36], Operations: ['83+16=99', '70-34=36'] Exploring Operation: 99-36=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 19, 26, 78, 8 ]
14
[ "19-8=11", "78/26=3", "11+3=14" ]
Current State: 14:[19, 26, 78, 8], Operations: [] Exploring Operation: 19-8=11, Resulting Numbers: [26, 78, 11] Generated Node #2: [26, 78, 11] from Operation: 19-8=11 Current State: 14:[26, 78, 11], Operations: ['19-8=11'] Exploring Operation: 78/26=3, Resulting Numbers: [11, 3] Generated Node #3: [11, 3] from Operation: 78/26=3 Current State: 14:[11, 3], Operations: ['19-8=11', '78/26=3'] Exploring Operation: 11+3=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 7, 17, 45, 89 ]
85
[ "45-17=28", "28/7=4", "89-4=85" ]
Current State: 85:[7, 17, 45, 89], Operations: [] Exploring Operation: 45-17=28, Resulting Numbers: [7, 89, 28] Generated Node #2: [7, 89, 28] from Operation: 45-17=28 Current State: 85:[7, 89, 28], Operations: ['45-17=28'] Exploring Operation: 28/7=4, Resulting Numbers: [89, 4] Generated Node #3: [89, 4] from Operation: 28/7=4 Current State: 85:[89, 4], Operations: ['45-17=28', '28/7=4'] Exploring Operation: 89-4=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 92, 45, 20, 43 ]
24
[ "92-45=47", "43-20=23", "47-23=24" ]
Current State: 24:[92, 45, 20, 43], Operations: [] Exploring Operation: 92-45=47, Resulting Numbers: [20, 43, 47] Generated Node #2: [20, 43, 47] from Operation: 92-45=47 Current State: 24:[20, 43, 47], Operations: ['92-45=47'] Exploring Operation: 43-20=23, Resulting Numbers: [47, 23] Generated Node #3: [47, 23] from Operation: 43-20=23 Current State: 24:[47, 23], Operations: ['92-45=47', '43-20=23'] Exploring Operation: 47-23=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 45, 44, 12, 5 ]
16
[ "45-44=1", "12+5=17", "17-1=16" ]
Current State: 16:[45, 44, 12, 5], Operations: [] Exploring Operation: 45-44=1, Resulting Numbers: [12, 5, 1] Generated Node #2: [12, 5, 1] from Operation: 45-44=1 Current State: 16:[12, 5, 1], Operations: ['45-44=1'] Exploring Operation: 12+5=17, Resulting Numbers: [1, 17] Generated Node #3: [1, 17] from Operation: 12+5=17 Current State: 16:[1, 17], Operations: ['45-44=1', '12+5=17'] Exploring Operation: 17-1=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 38, 21, 53, 92 ]
56
[ "38-21=17", "92-53=39", "17+39=56" ]
Current State: 56:[38, 21, 53, 92], Operations: [] Exploring Operation: 38-21=17, Resulting Numbers: [53, 92, 17] Generated Node #2: [53, 92, 17] from Operation: 38-21=17 Current State: 56:[53, 92, 17], Operations: ['38-21=17'] Exploring Operation: 92-53=39, Resulting Numbers: [17, 39] Generated Node #3: [17, 39] from Operation: 92-53=39 Current State: 56:[17, 39], Operations: ['38-21=17', '92-53=39'] Exploring Operation: 17+39=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 95, 85, 40, 22 ]
18
[ "95-85=10", "40/10=4", "22-4=18" ]
Current State: 18:[95, 85, 40, 22], Operations: [] Exploring Operation: 95-85=10, Resulting Numbers: [40, 22, 10] Generated Node #2: [40, 22, 10] from Operation: 95-85=10 Current State: 18:[40, 22, 10], Operations: ['95-85=10'] Exploring Operation: 40/10=4, Resulting Numbers: [22, 4] Generated Node #3: [22, 4] from Operation: 40/10=4 Current State: 18:[22, 4], Operations: ['95-85=10', '40/10=4'] Exploring Operation: 22-4=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 38, 9, 84, 57 ]
99
[ "84-38=46", "57-46=11", "9*11=99" ]
Current State: 99:[38, 9, 84, 57], Operations: [] Exploring Operation: 84-38=46, Resulting Numbers: [9, 57, 46] Generated Node #2: [9, 57, 46] from Operation: 84-38=46 Current State: 99:[9, 57, 46], Operations: ['84-38=46'] Exploring Operation: 57-46=11, Resulting Numbers: [9, 11] Generated Node #3: [9, 11] from Operation: 57-46=11 Current State: 99:[9, 11], Operations: ['84-38=46', '57-46=11'] Exploring Operation: 9*11=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 2, 53, 75, 91 ]
71
[ "2+53=55", "91-75=16", "55+16=71" ]
Current State: 71:[2, 53, 75, 91], Operations: [] Exploring Operation: 2+53=55, Resulting Numbers: [75, 91, 55] Generated Node #2: [75, 91, 55] from Operation: 2+53=55 Current State: 71:[75, 91, 55], Operations: ['2+53=55'] Exploring Operation: 91-75=16, Resulting Numbers: [55, 16] Generated Node #3: [55, 16] from Operation: 91-75=16 Current State: 71:[55, 16], Operations: ['2+53=55', '91-75=16'] Exploring Operation: 55+16=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 67, 69, 18, 18 ]
27
[ "69-67=2", "18/2=9", "18+9=27" ]
Current State: 27:[67, 69, 18, 18], Operations: [] Exploring Operation: 69-67=2, Resulting Numbers: [18, 18, 2] Generated Node #2: [18, 18, 2] from Operation: 69-67=2 Current State: 27:[18, 18, 2], Operations: ['69-67=2'] Exploring Operation: 18/2=9, Resulting Numbers: [9] 9,27 equal: Goal Reached Exploring Operation: 18+9=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 88, 44, 75, 67 ]
55
[ "75-67=8", "88/8=11", "44+11=55" ]
Current State: 55:[88, 44, 75, 67], Operations: [] Exploring Operation: 75-67=8, Resulting Numbers: [88, 44, 8] Generated Node #2: [88, 44, 8] from Operation: 75-67=8 Current State: 55:[88, 44, 8], Operations: ['75-67=8'] Exploring Operation: 88/8=11, Resulting Numbers: [44, 11] Generated Node #3: [44, 11] from Operation: 88/8=11 Current State: 55:[44, 11], Operations: ['75-67=8', '88/8=11'] Exploring Operation: 44+11=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 72, 43, 15, 88 ]
69
[ "88-43=45", "45/15=3", "72-3=69" ]
Current State: 69:[72, 43, 15, 88], Operations: [] Exploring Operation: 88-43=45, Resulting Numbers: [72, 15, 45] Generated Node #2: [72, 15, 45] from Operation: 88-43=45 Current State: 69:[72, 15, 45], Operations: ['88-43=45'] Exploring Operation: 45/15=3, Resulting Numbers: [72, 3] Generated Node #3: [72, 3] from Operation: 45/15=3 Current State: 69:[72, 3], Operations: ['88-43=45', '45/15=3'] Exploring Operation: 72-3=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 21, 48, 57, 3 ]
59
[ "21+3=24", "48/24=2", "57+2=59" ]
Current State: 59:[21, 48, 57, 3], Operations: [] Exploring Operation: 21+3=24, Resulting Numbers: [48, 57, 24] Generated Node #2: [48, 57, 24] from Operation: 21+3=24 Current State: 59:[48, 57, 24], Operations: ['21+3=24'] Exploring Operation: 48/24=2, Resulting Numbers: [57, 2] Generated Node #3: [57, 2] from Operation: 48/24=2 Current State: 59:[57, 2], Operations: ['21+3=24', '48/24=2'] Exploring Operation: 57+2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 69, 35, 44, 2 ]
96
[ "69+35=104", "104/2=52", "44+52=96" ]
Current State: 96:[69, 35, 44, 2], Operations: [] Exploring Operation: 69+35=104, Resulting Numbers: [44, 2, 104] Generated Node #2: [44, 2, 104] from Operation: 69+35=104 Current State: 96:[44, 2, 104], Operations: ['69+35=104'] Exploring Operation: 104/2=52, Resulting Numbers: [44, 52] Generated Node #3: [44, 52] from Operation: 104/2=52 Current State: 96:[44, 52], Operations: ['69+35=104', '104/2=52'] Exploring Operation: 44+52=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 63, 42, 16, 3 ]
99
[ "63-16=47", "3*47=141", "141-42=99" ]
Current State: 99:[63, 42, 16, 3], Operations: [] Exploring Operation: 63-16=47, Resulting Numbers: [42, 3, 47] Generated Node #2: [42, 3, 47] from Operation: 63-16=47 Current State: 99:[42, 3, 47], Operations: ['63-16=47'] Exploring Operation: 3*47=141, Resulting Numbers: [42, 141] Generated Node #3: [42, 141] from Operation: 3*47=141 Current State: 99:[42, 141], Operations: ['63-16=47', '3*47=141'] Exploring Operation: 141-42=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 68, 42, 47, 31 ]
87
[ "47-42=5", "31*5=155", "155-68=87" ]
Current State: 87:[68, 42, 47, 31], Operations: [] Exploring Operation: 47-42=5, Resulting Numbers: [68, 31, 5] Generated Node #2: [68, 31, 5] from Operation: 47-42=5 Current State: 87:[68, 31, 5], Operations: ['47-42=5'] Exploring Operation: 31*5=155, Resulting Numbers: [68, 155] Generated Node #3: [68, 155] from Operation: 31*5=155 Current State: 87:[68, 155], Operations: ['47-42=5', '31*5=155'] Exploring Operation: 155-68=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 67, 68, 82, 70 ]
50
[ "70-67=3", "68+82=150", "150/3=50" ]
Current State: 50:[67, 68, 82, 70], Operations: [] Exploring Operation: 70-67=3, Resulting Numbers: [68, 82, 3] Generated Node #2: [68, 82, 3] from Operation: 70-67=3 Current State: 50:[68, 82, 3], Operations: ['70-67=3'] Exploring Operation: 68+82=150, Resulting Numbers: [3, 150] Generated Node #3: [3, 150] from Operation: 68+82=150 Current State: 50:[3, 150], Operations: ['70-67=3', '68+82=150'] Exploring Operation: 150/3=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 37, 91, 30, 4 ]
80
[ "91-37=54", "30-4=26", "54+26=80" ]
Current State: 80:[37, 91, 30, 4], Operations: [] Exploring Operation: 91-37=54, Resulting Numbers: [30, 4, 54] Generated Node #2: [30, 4, 54] from Operation: 91-37=54 Current State: 80:[30, 4, 54], Operations: ['91-37=54'] Exploring Operation: 30-4=26, Resulting Numbers: [54, 26] Generated Node #3: [54, 26] from Operation: 30-4=26 Current State: 80:[54, 26], Operations: ['91-37=54', '30-4=26'] Exploring Operation: 54+26=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 46, 62, 97, 31 ]
53
[ "97-46=51", "62/31=2", "51+2=53" ]
Current State: 53:[46, 62, 97, 31], Operations: [] Exploring Operation: 97-46=51, Resulting Numbers: [62, 31, 51] Generated Node #2: [62, 31, 51] from Operation: 97-46=51 Current State: 53:[62, 31, 51], Operations: ['97-46=51'] Exploring Operation: 62/31=2, Resulting Numbers: [51, 2] Generated Node #3: [51, 2] from Operation: 62/31=2 Current State: 53:[51, 2], Operations: ['97-46=51', '62/31=2'] Exploring Operation: 51+2=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 87, 2, 8, 10 ]
51
[ "8+10=18", "2*18=36", "87-36=51" ]
Current State: 51:[87, 2, 8, 10], Operations: [] Exploring Operation: 8+10=18, Resulting Numbers: [87, 2, 18] Generated Node #2: [87, 2, 18] from Operation: 8+10=18 Current State: 51:[87, 2, 18], Operations: ['8+10=18'] Exploring Operation: 2*18=36, Resulting Numbers: [87, 36] Generated Node #3: [87, 36] from Operation: 2*18=36 Current State: 51:[87, 36], Operations: ['8+10=18', '2*18=36'] Exploring Operation: 87-36=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 40, 30, 86, 10 ]
86
[ "40-30=10", "86+10=96", "96-10=86" ]
Current State: 86:[40, 30, 86, 10], Operations: [] Exploring Operation: 40-30=10, Resulting Numbers: [86, 10, 10] Generated Node #2: [86, 10, 10] from Operation: 40-30=10 Current State: 86:[86, 10, 10], Operations: ['40-30=10'] Exploring Operation: 86+10=96, Resulting Numbers: [96] 96,86 equal: Goal Reached Exploring Operation: 96-10=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 43, 1, 77, 43 ]
77
[ "43+1=44", "44-43=1", "77*1=77" ]
Current State: 77:[43, 1, 77, 43], Operations: [] Exploring Operation: 43+1=44, Resulting Numbers: [77, 44] Generated Node #2: [77, 44] from Operation: 43+1=44 Current State: 77:[77, 44], Operations: ['43+1=44'] Exploring Operation: 44-43=1, Resulting Numbers: [77, 1] Generated Node #3: [77, 1] from Operation: 44-43=1 Current State: 77:[77, 1], Operations: ['43+1=44', '44-43=1'] Exploring Operation: 77*1=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 64, 19, 77, 75 ]
85
[ "64+19=83", "77-75=2", "83+2=85" ]
Current State: 85:[64, 19, 77, 75], Operations: [] Exploring Operation: 64+19=83, Resulting Numbers: [77, 75, 83] Generated Node #2: [77, 75, 83] from Operation: 64+19=83 Current State: 85:[77, 75, 83], Operations: ['64+19=83'] Exploring Operation: 77-75=2, Resulting Numbers: [83, 2] Generated Node #3: [83, 2] from Operation: 77-75=2 Current State: 85:[83, 2], Operations: ['64+19=83', '77-75=2'] Exploring Operation: 83+2=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 30, 25, 83, 62 ]
26
[ "30-25=5", "83-62=21", "5+21=26" ]
Current State: 26:[30, 25, 83, 62], Operations: [] Exploring Operation: 30-25=5, Resulting Numbers: [83, 62, 5] Generated Node #2: [83, 62, 5] from Operation: 30-25=5 Current State: 26:[83, 62, 5], Operations: ['30-25=5'] Exploring Operation: 83-62=21, Resulting Numbers: [5, 21] Generated Node #3: [5, 21] from Operation: 83-62=21 Current State: 26:[5, 21], Operations: ['30-25=5', '83-62=21'] Exploring Operation: 5+21=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 82, 4, 33, 53 ]
87
[ "53-33=20", "20/4=5", "82+5=87" ]
Current State: 87:[82, 4, 33, 53], Operations: [] Exploring Operation: 53-33=20, Resulting Numbers: [82, 4, 20] Generated Node #2: [82, 4, 20] from Operation: 53-33=20 Current State: 87:[82, 4, 20], Operations: ['53-33=20'] Exploring Operation: 20/4=5, Resulting Numbers: [82, 5] Generated Node #3: [82, 5] from Operation: 20/4=5 Current State: 87:[82, 5], Operations: ['53-33=20', '20/4=5'] Exploring Operation: 82+5=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 34, 35, 92, 36 ]
81
[ "36-34=2", "92/2=46", "35+46=81" ]
Current State: 81:[34, 35, 92, 36], Operations: [] Exploring Operation: 36-34=2, Resulting Numbers: [35, 92, 2] Generated Node #2: [35, 92, 2] from Operation: 36-34=2 Current State: 81:[35, 92, 2], Operations: ['36-34=2'] Exploring Operation: 92/2=46, Resulting Numbers: [35, 46] Generated Node #3: [35, 46] from Operation: 92/2=46 Current State: 81:[35, 46], Operations: ['36-34=2', '92/2=46'] Exploring Operation: 35+46=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 32, 3, 7, 42 ]
27
[ "32+7=39", "42+39=81", "81/3=27" ]
Current State: 27:[32, 3, 7, 42], Operations: [] Exploring Operation: 32+7=39, Resulting Numbers: [3, 42, 39] Generated Node #2: [3, 42, 39] from Operation: 32+7=39 Current State: 27:[3, 42, 39], Operations: ['32+7=39'] Exploring Operation: 42+39=81, Resulting Numbers: [3, 81] Generated Node #3: [3, 81] from Operation: 42+39=81 Current State: 27:[3, 81], Operations: ['32+7=39', '42+39=81'] Exploring Operation: 81/3=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 65, 56, 54, 79 ]
58
[ "79-65=14", "56/14=4", "54+4=58" ]
Current State: 58:[65, 56, 54, 79], Operations: [] Exploring Operation: 79-65=14, Resulting Numbers: [56, 54, 14] Generated Node #2: [56, 54, 14] from Operation: 79-65=14 Current State: 58:[56, 54, 14], Operations: ['79-65=14'] Exploring Operation: 56/14=4, Resulting Numbers: [54, 4] Generated Node #3: [54, 4] from Operation: 56/14=4 Current State: 58:[54, 4], Operations: ['79-65=14', '56/14=4'] Exploring Operation: 54+4=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 92, 25, 44, 5 ]
77
[ "92-44=48", "25*5=125", "125-48=77" ]
Current State: 77:[92, 25, 44, 5], Operations: [] Exploring Operation: 92-44=48, Resulting Numbers: [25, 5, 48] Generated Node #2: [25, 5, 48] from Operation: 92-44=48 Current State: 77:[25, 5, 48], Operations: ['92-44=48'] Exploring Operation: 25*5=125, Resulting Numbers: [48, 125] Generated Node #3: [48, 125] from Operation: 25*5=125 Current State: 77:[48, 125], Operations: ['92-44=48', '25*5=125'] Exploring Operation: 125-48=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 39, 9, 41, 5 ]
29
[ "9+41=50", "50/5=10", "39-10=29" ]
Current State: 29:[39, 9, 41, 5], Operations: [] Exploring Operation: 9+41=50, Resulting Numbers: [39, 5, 50] Generated Node #2: [39, 5, 50] from Operation: 9+41=50 Current State: 29:[39, 5, 50], Operations: ['9+41=50'] Exploring Operation: 50/5=10, Resulting Numbers: [39, 10] Generated Node #3: [39, 10] from Operation: 50/5=10 Current State: 29:[39, 10], Operations: ['9+41=50', '50/5=10'] Exploring Operation: 39-10=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 75, 87, 27, 27 ]
33
[ "75+87=162", "162/27=6", "27+6=33" ]
Current State: 33:[75, 87, 27, 27], Operations: [] Exploring Operation: 75+87=162, Resulting Numbers: [27, 27, 162] Generated Node #2: [27, 27, 162] from Operation: 75+87=162 Current State: 33:[27, 27, 162], Operations: ['75+87=162'] Exploring Operation: 162/27=6, Resulting Numbers: [6] 6,33 equal: Goal Reached Exploring Operation: 27+6=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 91, 32, 69, 46 ]
43
[ "32*69=2208", "2208/46=48", "91-48=43" ]
Current State: 43:[91, 32, 69, 46], Operations: [] Exploring Operation: 32*69=2208, Resulting Numbers: [91, 46, 2208] Generated Node #2: [91, 46, 2208] from Operation: 32*69=2208 Current State: 43:[91, 46, 2208], Operations: ['32*69=2208'] Exploring Operation: 2208/46=48, Resulting Numbers: [91, 48] Generated Node #3: [91, 48] from Operation: 2208/46=48 Current State: 43:[91, 48], Operations: ['32*69=2208', '2208/46=48'] Exploring Operation: 91-48=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 55, 10, 87, 70 ]
63
[ "70-55=15", "10*15=150", "150-87=63" ]
Current State: 63:[55, 10, 87, 70], Operations: [] Exploring Operation: 70-55=15, Resulting Numbers: [10, 87, 15] Generated Node #2: [10, 87, 15] from Operation: 70-55=15 Current State: 63:[10, 87, 15], Operations: ['70-55=15'] Exploring Operation: 10*15=150, Resulting Numbers: [87, 150] Generated Node #3: [87, 150] from Operation: 10*15=150 Current State: 63:[87, 150], Operations: ['70-55=15', '10*15=150'] Exploring Operation: 150-87=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 32, 13, 29, 69 ]
36
[ "32-29=3", "69/3=23", "13+23=36" ]
Current State: 36:[32, 13, 29, 69], Operations: [] Exploring Operation: 32-29=3, Resulting Numbers: [13, 69, 3] Generated Node #2: [13, 69, 3] from Operation: 32-29=3 Current State: 36:[13, 69, 3], Operations: ['32-29=3'] Exploring Operation: 69/3=23, Resulting Numbers: [13, 23] Generated Node #3: [13, 23] from Operation: 69/3=23 Current State: 36:[13, 23], Operations: ['32-29=3', '69/3=23'] Exploring Operation: 13+23=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 44, 77, 44, 55 ]
47
[ "77+55=132", "132/44=3", "44+3=47" ]
Current State: 47:[44, 77, 44, 55], Operations: [] Exploring Operation: 77+55=132, Resulting Numbers: [44, 44, 132] Generated Node #2: [44, 44, 132] from Operation: 77+55=132 Current State: 47:[44, 44, 132], Operations: ['77+55=132'] Exploring Operation: 132/44=3, Resulting Numbers: [3] 3,47 equal: Goal Reached Exploring Operation: 44+3=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 26, 17, 69, 97 ]
99
[ "69-17=52", "52/26=2", "97+2=99" ]
Current State: 99:[26, 17, 69, 97], Operations: [] Exploring Operation: 69-17=52, Resulting Numbers: [26, 97, 52] Generated Node #2: [26, 97, 52] from Operation: 69-17=52 Current State: 99:[26, 97, 52], Operations: ['69-17=52'] Exploring Operation: 52/26=2, Resulting Numbers: [97, 2] Generated Node #3: [97, 2] from Operation: 52/26=2 Current State: 99:[97, 2], Operations: ['69-17=52', '52/26=2'] Exploring Operation: 97+2=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 69, 63, 98, 76 ]
23
[ "76-69=7", "63+98=161", "161/7=23" ]
Current State: 23:[69, 63, 98, 76], Operations: [] Exploring Operation: 76-69=7, Resulting Numbers: [63, 98, 7] Generated Node #2: [63, 98, 7] from Operation: 76-69=7 Current State: 23:[63, 98, 7], Operations: ['76-69=7'] Exploring Operation: 63+98=161, Resulting Numbers: [7, 161] Generated Node #3: [7, 161] from Operation: 63+98=161 Current State: 23:[7, 161], Operations: ['76-69=7', '63+98=161'] Exploring Operation: 161/7=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 44, 47, 27, 98 ]
89
[ "47-44=3", "27/3=9", "98-9=89" ]
Current State: 89:[44, 47, 27, 98], Operations: [] Exploring Operation: 47-44=3, Resulting Numbers: [27, 98, 3] Generated Node #2: [27, 98, 3] from Operation: 47-44=3 Current State: 89:[27, 98, 3], Operations: ['47-44=3'] Exploring Operation: 27/3=9, Resulting Numbers: [98, 9] Generated Node #3: [98, 9] from Operation: 27/3=9 Current State: 89:[98, 9], Operations: ['47-44=3', '27/3=9'] Exploring Operation: 98-9=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 67, 33, 33, 53 ]
52
[ "67-33=34", "33+53=86", "86-34=52" ]
Current State: 52:[67, 33, 33, 53], Operations: [] Exploring Operation: 67-33=34, Resulting Numbers: [53, 34] Generated Node #2: [53, 34] from Operation: 67-33=34 Current State: 52:[53, 34], Operations: ['67-33=34'] Exploring Operation: 33+53=86, Resulting Numbers: [34, 86] Generated Node #3: [34, 86] from Operation: 33+53=86 Current State: 52:[34, 86], Operations: ['67-33=34', '33+53=86'] Exploring Operation: 86-34=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 74, 92, 91, 75 ]
62
[ "74*75=5550", "92+5550=5642", "5642/91=62" ]
Current State: 62:[74, 92, 91, 75], Operations: [] Exploring Operation: 74*75=5550, Resulting Numbers: [92, 91, 5550] Generated Node #2: [92, 91, 5550] from Operation: 74*75=5550 Current State: 62:[92, 91, 5550], Operations: ['74*75=5550'] Exploring Operation: 92+5550=5642, Resulting Numbers: [91, 5642] Generated Node #3: [91, 5642] from Operation: 92+5550=5642 Current State: 62:[91, 5642], Operations: ['74*75=5550', '92+5550=5642'] Exploring Operation: 5642/91=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 3, 8, 13, 20 ]
19
[ "13+20=33", "33/3=11", "8+11=19" ]
Current State: 19:[3, 8, 13, 20], Operations: [] Exploring Operation: 13+20=33, Resulting Numbers: [3, 8, 33] Generated Node #2: [3, 8, 33] from Operation: 13+20=33 Current State: 19:[3, 8, 33], Operations: ['13+20=33'] Exploring Operation: 33/3=11, Resulting Numbers: [8, 11] Generated Node #3: [8, 11] from Operation: 33/3=11 Current State: 19:[8, 11], Operations: ['13+20=33', '33/3=11'] Exploring Operation: 8+11=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 89, 78, 24, 75 ]
66
[ "78*75=5850", "24+5850=5874", "5874/89=66" ]
Current State: 66:[89, 78, 24, 75], Operations: [] Exploring Operation: 78*75=5850, Resulting Numbers: [89, 24, 5850] Generated Node #2: [89, 24, 5850] from Operation: 78*75=5850 Current State: 66:[89, 24, 5850], Operations: ['78*75=5850'] Exploring Operation: 24+5850=5874, Resulting Numbers: [89, 5874] Generated Node #3: [89, 5874] from Operation: 24+5850=5874 Current State: 66:[89, 5874], Operations: ['78*75=5850', '24+5850=5874'] Exploring Operation: 5874/89=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 92, 67, 69, 4 ]
86
[ "92+67=159", "69+4=73", "159-73=86" ]
Current State: 86:[92, 67, 69, 4], Operations: [] Exploring Operation: 92+67=159, Resulting Numbers: [69, 4, 159] Generated Node #2: [69, 4, 159] from Operation: 92+67=159 Current State: 86:[69, 4, 159], Operations: ['92+67=159'] Exploring Operation: 69+4=73, Resulting Numbers: [159, 73] Generated Node #3: [159, 73] from Operation: 69+4=73 Current State: 86:[159, 73], Operations: ['92+67=159', '69+4=73'] Exploring Operation: 159-73=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 21, 51, 38, 6 ]
92
[ "51*38=1938", "1938-6=1932", "1932/21=92" ]
Current State: 92:[21, 51, 38, 6], Operations: [] Exploring Operation: 51*38=1938, Resulting Numbers: [21, 6, 1938] Generated Node #2: [21, 6, 1938] from Operation: 51*38=1938 Current State: 92:[21, 6, 1938], Operations: ['51*38=1938'] Exploring Operation: 1938-6=1932, Resulting Numbers: [21, 1932] Generated Node #3: [21, 1932] from Operation: 1938-6=1932 Current State: 92:[21, 1932], Operations: ['51*38=1938', '1938-6=1932'] Exploring Operation: 1932/21=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 94, 3, 50, 98 ]
78
[ "98-50=48", "48/3=16", "94-16=78" ]
Current State: 78:[94, 3, 50, 98], Operations: [] Exploring Operation: 98-50=48, Resulting Numbers: [94, 3, 48] Generated Node #2: [94, 3, 48] from Operation: 98-50=48 Current State: 78:[94, 3, 48], Operations: ['98-50=48'] Exploring Operation: 48/3=16, Resulting Numbers: [94, 16] Generated Node #3: [94, 16] from Operation: 48/3=16 Current State: 78:[94, 16], Operations: ['98-50=48', '48/3=16'] Exploring Operation: 94-16=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 8, 24, 9, 34 ]
86
[ "24-9=15", "8*15=120", "120-34=86" ]
Current State: 86:[8, 24, 9, 34], Operations: [] Exploring Operation: 24-9=15, Resulting Numbers: [8, 34, 15] Generated Node #2: [8, 34, 15] from Operation: 24-9=15 Current State: 86:[8, 34, 15], Operations: ['24-9=15'] Exploring Operation: 8*15=120, Resulting Numbers: [34, 120] Generated Node #3: [34, 120] from Operation: 8*15=120 Current State: 86:[34, 120], Operations: ['24-9=15', '8*15=120'] Exploring Operation: 120-34=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 16, 73, 99, 2 ]
31
[ "16+99=115", "73*2=146", "146-115=31" ]
Current State: 31:[16, 73, 99, 2], Operations: [] Exploring Operation: 16+99=115, Resulting Numbers: [73, 2, 115] Generated Node #2: [73, 2, 115] from Operation: 16+99=115 Current State: 31:[73, 2, 115], Operations: ['16+99=115'] Exploring Operation: 73*2=146, Resulting Numbers: [115, 146] Generated Node #3: [115, 146] from Operation: 73*2=146 Current State: 31:[115, 146], Operations: ['16+99=115', '73*2=146'] Exploring Operation: 146-115=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 43, 3, 74, 78 ]
10
[ "43-3=40", "78-74=4", "40/4=10" ]
Current State: 10:[43, 3, 74, 78], Operations: [] Exploring Operation: 43-3=40, Resulting Numbers: [74, 78, 40] Generated Node #2: [74, 78, 40] from Operation: 43-3=40 Current State: 10:[74, 78, 40], Operations: ['43-3=40'] Exploring Operation: 78-74=4, Resulting Numbers: [40, 4] Generated Node #3: [40, 4] from Operation: 78-74=4 Current State: 10:[40, 4], Operations: ['43-3=40', '78-74=4'] Exploring Operation: 40/4=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 98, 59, 50, 26 ]
37
[ "98-59=39", "50+26=76", "76-39=37" ]
Current State: 37:[98, 59, 50, 26], Operations: [] Exploring Operation: 98-59=39, Resulting Numbers: [50, 26, 39] Generated Node #2: [50, 26, 39] from Operation: 98-59=39 Current State: 37:[50, 26, 39], Operations: ['98-59=39'] Exploring Operation: 50+26=76, Resulting Numbers: [39, 76] Generated Node #3: [39, 76] from Operation: 50+26=76 Current State: 37:[39, 76], Operations: ['98-59=39', '50+26=76'] Exploring Operation: 76-39=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 48, 99, 45, 9 ]
12
[ "99+45=144", "144/48=3", "9+3=12" ]
Current State: 12:[48, 99, 45, 9], Operations: [] Exploring Operation: 99+45=144, Resulting Numbers: [48, 9, 144] Generated Node #2: [48, 9, 144] from Operation: 99+45=144 Current State: 12:[48, 9, 144], Operations: ['99+45=144'] Exploring Operation: 144/48=3, Resulting Numbers: [9, 3] Generated Node #3: [9, 3] from Operation: 144/48=3 Current State: 12:[9, 3], Operations: ['99+45=144', '144/48=3'] Exploring Operation: 9+3=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 62, 15, 79, 73 ]
75
[ "62+15=77", "79+73=152", "152-77=75" ]
Current State: 75:[62, 15, 79, 73], Operations: [] Exploring Operation: 62+15=77, Resulting Numbers: [79, 73, 77] Generated Node #2: [79, 73, 77] from Operation: 62+15=77 Current State: 75:[79, 73, 77], Operations: ['62+15=77'] Exploring Operation: 79+73=152, Resulting Numbers: [77, 152] Generated Node #3: [77, 152] from Operation: 79+73=152 Current State: 75:[77, 152], Operations: ['62+15=77', '79+73=152'] Exploring Operation: 152-77=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 51, 35, 25, 83 ]
92
[ "51-35=16", "25+83=108", "108-16=92" ]
Current State: 92:[51, 35, 25, 83], Operations: [] Exploring Operation: 51-35=16, Resulting Numbers: [25, 83, 16] Generated Node #2: [25, 83, 16] from Operation: 51-35=16 Current State: 92:[25, 83, 16], Operations: ['51-35=16'] Exploring Operation: 25+83=108, Resulting Numbers: [16, 108] Generated Node #3: [16, 108] from Operation: 25+83=108 Current State: 92:[16, 108], Operations: ['51-35=16', '25+83=108'] Exploring Operation: 108-16=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 52, 92, 13, 91 ]
66
[ "52+92=144", "91-13=78", "144-78=66" ]
Current State: 66:[52, 92, 13, 91], Operations: [] Exploring Operation: 52+92=144, Resulting Numbers: [13, 91, 144] Generated Node #2: [13, 91, 144] from Operation: 52+92=144 Current State: 66:[13, 91, 144], Operations: ['52+92=144'] Exploring Operation: 91-13=78, Resulting Numbers: [144, 78] Generated Node #3: [144, 78] from Operation: 91-13=78 Current State: 66:[144, 78], Operations: ['52+92=144', '91-13=78'] Exploring Operation: 144-78=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 38, 45, 88, 85 ]
80
[ "38+45=83", "88-85=3", "83-3=80" ]
Current State: 80:[38, 45, 88, 85], Operations: [] Exploring Operation: 38+45=83, Resulting Numbers: [88, 85, 83] Generated Node #2: [88, 85, 83] from Operation: 38+45=83 Current State: 80:[88, 85, 83], Operations: ['38+45=83'] Exploring Operation: 88-85=3, Resulting Numbers: [83, 3] Generated Node #3: [83, 3] from Operation: 88-85=3 Current State: 80:[83, 3], Operations: ['38+45=83', '88-85=3'] Exploring Operation: 83-3=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 58, 8, 80, 58 ]
87
[ "58/58=1", "8+80=88", "88-1=87" ]
Current State: 87:[58, 8, 80, 58], Operations: [] Exploring Operation: 58/58=1, Resulting Numbers: [8, 80, 1] Generated Node #2: [8, 80, 1] from Operation: 58/58=1 Current State: 87:[8, 80, 1], Operations: ['58/58=1'] Exploring Operation: 8+80=88, Resulting Numbers: [1, 88] Generated Node #3: [1, 88] from Operation: 8+80=88 Current State: 87:[1, 88], Operations: ['58/58=1', '8+80=88'] Exploring Operation: 88-1=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 81, 83, 66, 66 ]
81
[ "66-66=0", "83*0=0", "81+0=81" ]
Current State: 81:[81, 83, 66, 66], Operations: [] Exploring Operation: 66-66=0, Resulting Numbers: [81, 83, 0] Generated Node #2: [81, 83, 0] from Operation: 66-66=0 Current State: 81:[81, 83, 0], Operations: ['66-66=0'] Exploring Operation: 83*0=0, Resulting Numbers: [81, 0] Generated Node #3: [81, 0] from Operation: 83*0=0 Current State: 81:[81, 0], Operations: ['66-66=0', '83*0=0'] Exploring Operation: 81+0=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 5, 41, 33, 76 ]
89
[ "5+41=46", "76-33=43", "46+43=89" ]
Current State: 89:[5, 41, 33, 76], Operations: [] Exploring Operation: 5+41=46, Resulting Numbers: [33, 76, 46] Generated Node #2: [33, 76, 46] from Operation: 5+41=46 Current State: 89:[33, 76, 46], Operations: ['5+41=46'] Exploring Operation: 76-33=43, Resulting Numbers: [46, 43] Generated Node #3: [46, 43] from Operation: 76-33=43 Current State: 89:[46, 43], Operations: ['5+41=46', '76-33=43'] Exploring Operation: 46+43=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4