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
[ 5, 63, 3, 17 ]
99
[ "17-5=12", "3*12=36", "63+36=99" ]
Current State: 99:[5, 63, 3, 17], Operations: [] Exploring Operation: 17-5=12, Resulting Numbers: [63, 3, 12] Generated Node #2: [63, 3, 12] from Operation: 17-5=12 Current State: 99:[63, 3, 12], Operations: ['17-5=12'] Exploring Operation: 3*12=36, Resulting Numbers: [63, 36] Generated Node #3: [63, 36] from Operation: 3*12=36 Current State: 99:[63, 36], Operations: ['17-5=12', '3*12=36'] Exploring Operation: 63+36=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 11, 46, 8, 13 ]
99
[ "11-8=3", "46-13=33", "3*33=99" ]
Current State: 99:[11, 46, 8, 13], Operations: [] Exploring Operation: 11-8=3, Resulting Numbers: [46, 13, 3] Generated Node #2: [46, 13, 3] from Operation: 11-8=3 Current State: 99:[46, 13, 3], Operations: ['11-8=3'] Exploring Operation: 46-13=33, Resulting Numbers: [3, 33] Generated Node #3: [3, 33] from Operation: 46-13=33 Current State: 99:[3, 33], Operations: ['11-8=3', '46-13=33'] Exploring Operation: 3*33=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 63, 81, 83, 88 ]
19
[ "83-81=2", "88/2=44", "63-44=19" ]
Current State: 19:[63, 81, 83, 88], Operations: [] Exploring Operation: 83-81=2, Resulting Numbers: [63, 88, 2] Generated Node #2: [63, 88, 2] from Operation: 83-81=2 Current State: 19:[63, 88, 2], Operations: ['83-81=2'] Exploring Operation: 88/2=44, Resulting Numbers: [63, 44] Generated Node #3: [63, 44] from Operation: 88/2=44 Current State: 19:[63, 44], Operations: ['83-81=2', '88/2=44'] Exploring Operation: 63-44=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 86, 7, 43, 22 ]
100
[ "86-7=79", "43-22=21", "79+21=100" ]
Current State: 100:[86, 7, 43, 22], Operations: [] Exploring Operation: 86-7=79, Resulting Numbers: [43, 22, 79] Generated Node #2: [43, 22, 79] from Operation: 86-7=79 Current State: 100:[43, 22, 79], Operations: ['86-7=79'] Exploring Operation: 43-22=21, Resulting Numbers: [79, 21] Generated Node #3: [79, 21] from Operation: 43-22=21 Current State: 100:[79, 21], Operations: ['86-7=79', '43-22=21'] Exploring Operation: 79+21=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 62, 39, 23, 87 ]
78
[ "62+23=85", "87-85=2", "39*2=78" ]
Current State: 78:[62, 39, 23, 87], Operations: [] Exploring Operation: 62+23=85, Resulting Numbers: [39, 87, 85] Generated Node #2: [39, 87, 85] from Operation: 62+23=85 Current State: 78:[39, 87, 85], Operations: ['62+23=85'] Exploring Operation: 87-85=2, Resulting Numbers: [39, 2] Generated Node #3: [39, 2] from Operation: 87-85=2 Current State: 78:[39, 2], Operations: ['62+23=85', '87-85=2'] Exploring Operation: 39*2=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 9, 82, 8, 20 ]
69
[ "9+82=91", "8*20=160", "160-91=69" ]
Current State: 69:[9, 82, 8, 20], Operations: [] Exploring Operation: 9+82=91, Resulting Numbers: [8, 20, 91] Generated Node #2: [8, 20, 91] from Operation: 9+82=91 Current State: 69:[8, 20, 91], Operations: ['9+82=91'] Exploring Operation: 8*20=160, Resulting Numbers: [91, 160] Generated Node #3: [91, 160] from Operation: 8*20=160 Current State: 69:[91, 160], Operations: ['9+82=91', '8*20=160'] Exploring Operation: 160-91=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 97, 56, 83, 90 ]
48
[ "97-56=41", "90-83=7", "41+7=48" ]
Current State: 48:[97, 56, 83, 90], Operations: [] Exploring Operation: 97-56=41, Resulting Numbers: [83, 90, 41] Generated Node #2: [83, 90, 41] from Operation: 97-56=41 Current State: 48:[83, 90, 41], Operations: ['97-56=41'] Exploring Operation: 90-83=7, Resulting Numbers: [41, 7] Generated Node #3: [41, 7] from Operation: 90-83=7 Current State: 48:[41, 7], Operations: ['97-56=41', '90-83=7'] Exploring Operation: 41+7=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 55, 76, 20, 11 ]
12
[ "76-55=21", "20-11=9", "21-9=12" ]
Current State: 12:[55, 76, 20, 11], Operations: [] Exploring Operation: 76-55=21, Resulting Numbers: [20, 11, 21] Generated Node #2: [20, 11, 21] from Operation: 76-55=21 Current State: 12:[20, 11, 21], Operations: ['76-55=21'] Exploring Operation: 20-11=9, Resulting Numbers: [21, 9] Generated Node #3: [21, 9] from Operation: 20-11=9 Current State: 12:[21, 9], Operations: ['76-55=21', '20-11=9'] Exploring Operation: 21-9=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 42, 49, 8, 8 ]
64
[ "49-42=7", "8*7=56", "8+56=64" ]
Current State: 64:[42, 49, 8, 8], Operations: [] Exploring Operation: 49-42=7, Resulting Numbers: [8, 8, 7] Generated Node #2: [8, 8, 7] from Operation: 49-42=7 Current State: 64:[8, 8, 7], Operations: ['49-42=7'] Exploring Operation: 8*7=56, Resulting Numbers: [56] 56,64 equal: Goal Reached Exploring Operation: 8+56=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 65, 54, 18, 44 ]
18
[ "65-18=47", "47-44=3", "54/3=18" ]
Current State: 18:[65, 54, 18, 44], Operations: [] Exploring Operation: 65-18=47, Resulting Numbers: [54, 44, 47] Generated Node #2: [54, 44, 47] from Operation: 65-18=47 Current State: 18:[54, 44, 47], Operations: ['65-18=47'] Exploring Operation: 47-44=3, Resulting Numbers: [54, 3] Generated Node #3: [54, 3] from Operation: 47-44=3 Current State: 18:[54, 3], Operations: ['65-18=47', '47-44=3'] Exploring Operation: 54/3=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 44, 82, 2, 73 ]
92
[ "82-44=38", "38/2=19", "73+19=92" ]
Current State: 92:[44, 82, 2, 73], Operations: [] Exploring Operation: 82-44=38, Resulting Numbers: [2, 73, 38] Generated Node #2: [2, 73, 38] from Operation: 82-44=38 Current State: 92:[2, 73, 38], Operations: ['82-44=38'] Exploring Operation: 38/2=19, Resulting Numbers: [73, 19] Generated Node #3: [73, 19] from Operation: 38/2=19 Current State: 92:[73, 19], Operations: ['82-44=38', '38/2=19'] Exploring Operation: 73+19=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 99, 77, 97, 86 ]
16
[ "99+77=176", "97-86=11", "176/11=16" ]
Current State: 16:[99, 77, 97, 86], Operations: [] Exploring Operation: 99+77=176, Resulting Numbers: [97, 86, 176] Generated Node #2: [97, 86, 176] from Operation: 99+77=176 Current State: 16:[97, 86, 176], Operations: ['99+77=176'] Exploring Operation: 97-86=11, Resulting Numbers: [176, 11] Generated Node #3: [176, 11] from Operation: 97-86=11 Current State: 16:[176, 11], Operations: ['99+77=176', '97-86=11'] Exploring Operation: 176/11=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 82, 61, 41, 61 ]
81
[ "82-61=21", "41+61=102", "102-21=81" ]
Current State: 81:[82, 61, 41, 61], Operations: [] Exploring Operation: 82-61=21, Resulting Numbers: [41, 21] Generated Node #2: [41, 21] from Operation: 82-61=21 Current State: 81:[41, 21], Operations: ['82-61=21'] Exploring Operation: 41+61=102, Resulting Numbers: [21, 102] Generated Node #3: [21, 102] from Operation: 41+61=102 Current State: 81:[21, 102], Operations: ['82-61=21', '41+61=102'] Exploring Operation: 102-21=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 77, 52, 11, 58 ]
22
[ "77-52=25", "58-11=47", "47-25=22" ]
Current State: 22:[77, 52, 11, 58], Operations: [] Exploring Operation: 77-52=25, Resulting Numbers: [11, 58, 25] Generated Node #2: [11, 58, 25] from Operation: 77-52=25 Current State: 22:[11, 58, 25], Operations: ['77-52=25'] Exploring Operation: 58-11=47, Resulting Numbers: [25, 47] Generated Node #3: [25, 47] from Operation: 58-11=47 Current State: 22:[25, 47], Operations: ['77-52=25', '58-11=47'] Exploring Operation: 47-25=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 16, 76, 18, 46 ]
32
[ "76-16=60", "46-18=28", "60-28=32" ]
Current State: 32:[16, 76, 18, 46], Operations: [] Exploring Operation: 76-16=60, Resulting Numbers: [18, 46, 60] Generated Node #2: [18, 46, 60] from Operation: 76-16=60 Current State: 32:[18, 46, 60], Operations: ['76-16=60'] Exploring Operation: 46-18=28, Resulting Numbers: [60, 28] Generated Node #3: [60, 28] from Operation: 46-18=28 Current State: 32:[60, 28], Operations: ['76-16=60', '46-18=28'] Exploring Operation: 60-28=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 7, 37, 55, 83 ]
72
[ "7+37=44", "83-55=28", "44+28=72" ]
Current State: 72:[7, 37, 55, 83], Operations: [] Exploring Operation: 7+37=44, Resulting Numbers: [55, 83, 44] Generated Node #2: [55, 83, 44] from Operation: 7+37=44 Current State: 72:[55, 83, 44], Operations: ['7+37=44'] Exploring Operation: 83-55=28, Resulting Numbers: [44, 28] Generated Node #3: [44, 28] from Operation: 83-55=28 Current State: 72:[44, 28], Operations: ['7+37=44', '83-55=28'] Exploring Operation: 44+28=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 4, 42, 6, 96 ]
17
[ "96/4=24", "42/6=7", "24-7=17" ]
Current State: 17:[4, 42, 6, 96], Operations: [] Exploring Operation: 96/4=24, Resulting Numbers: [42, 6, 24] Generated Node #2: [42, 6, 24] from Operation: 96/4=24 Current State: 17:[42, 6, 24], Operations: ['96/4=24'] Exploring Operation: 42/6=7, Resulting Numbers: [24, 7] Generated Node #3: [24, 7] from Operation: 42/6=7 Current State: 17:[24, 7], Operations: ['96/4=24', '42/6=7'] Exploring Operation: 24-7=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 37, 6, 56, 39 ]
64
[ "37-6=31", "56+39=95", "95-31=64" ]
Current State: 64:[37, 6, 56, 39], Operations: [] Exploring Operation: 37-6=31, Resulting Numbers: [56, 39, 31] Generated Node #2: [56, 39, 31] from Operation: 37-6=31 Current State: 64:[56, 39, 31], Operations: ['37-6=31'] Exploring Operation: 56+39=95, Resulting Numbers: [31, 95] Generated Node #3: [31, 95] from Operation: 56+39=95 Current State: 64:[31, 95], Operations: ['37-6=31', '56+39=95'] Exploring Operation: 95-31=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 26, 22, 24, 45 ]
27
[ "26+22=48", "45-24=21", "48-21=27" ]
Current State: 27:[26, 22, 24, 45], Operations: [] Exploring Operation: 26+22=48, Resulting Numbers: [24, 45, 48] Generated Node #2: [24, 45, 48] from Operation: 26+22=48 Current State: 27:[24, 45, 48], Operations: ['26+22=48'] Exploring Operation: 45-24=21, Resulting Numbers: [48, 21] Generated Node #3: [48, 21] from Operation: 45-24=21 Current State: 27:[48, 21], Operations: ['26+22=48', '45-24=21'] Exploring Operation: 48-21=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 87, 73, 5, 84 ]
88
[ "87-84=3", "5*3=15", "73+15=88" ]
Current State: 88:[87, 73, 5, 84], Operations: [] Exploring Operation: 87-84=3, Resulting Numbers: [73, 5, 3] Generated Node #2: [73, 5, 3] from Operation: 87-84=3 Current State: 88:[73, 5, 3], Operations: ['87-84=3'] Exploring Operation: 5*3=15, Resulting Numbers: [73, 15] Generated Node #3: [73, 15] from Operation: 5*3=15 Current State: 88:[73, 15], Operations: ['87-84=3', '5*3=15'] Exploring Operation: 73+15=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 87, 56, 63, 71 ]
39
[ "87-56=31", "71-63=8", "31+8=39" ]
Current State: 39:[87, 56, 63, 71], Operations: [] Exploring Operation: 87-56=31, Resulting Numbers: [63, 71, 31] Generated Node #2: [63, 71, 31] from Operation: 87-56=31 Current State: 39:[63, 71, 31], Operations: ['87-56=31'] Exploring Operation: 71-63=8, Resulting Numbers: [31, 8] Generated Node #3: [31, 8] from Operation: 71-63=8 Current State: 39:[31, 8], Operations: ['87-56=31', '71-63=8'] Exploring Operation: 31+8=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 70, 92, 82, 57 ]
50
[ "92-82=10", "70/10=7", "57-7=50" ]
Current State: 50:[70, 92, 82, 57], Operations: [] Exploring Operation: 92-82=10, Resulting Numbers: [70, 57, 10] Generated Node #2: [70, 57, 10] from Operation: 92-82=10 Current State: 50:[70, 57, 10], Operations: ['92-82=10'] Exploring Operation: 70/10=7, Resulting Numbers: [57, 7] Generated Node #3: [57, 7] from Operation: 70/10=7 Current State: 50:[57, 7], Operations: ['92-82=10', '70/10=7'] Exploring Operation: 57-7=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 4, 18, 54, 32 ]
44
[ "4+18=22", "54-32=22", "22+22=44" ]
Current State: 44:[4, 18, 54, 32], Operations: [] Exploring Operation: 4+18=22, Resulting Numbers: [54, 32, 22] Generated Node #2: [54, 32, 22] from Operation: 4+18=22 Current State: 44:[54, 32, 22], Operations: ['4+18=22'] Exploring Operation: 54-32=22, Resulting Numbers: [22, 22] Generated Node #3: [22, 22] from Operation: 54-32=22 Current State: 44:[22, 22], Operations: ['4+18=22', '54-32=22'] Exploring Operation: 22+22=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 18, 17, 36, 84 ]
59
[ "36/18=2", "84/2=42", "17+42=59" ]
Current State: 59:[18, 17, 36, 84], Operations: [] Exploring Operation: 36/18=2, Resulting Numbers: [17, 84, 2] Generated Node #2: [17, 84, 2] from Operation: 36/18=2 Current State: 59:[17, 84, 2], Operations: ['36/18=2'] Exploring Operation: 84/2=42, Resulting Numbers: [17, 42] Generated Node #3: [17, 42] from Operation: 84/2=42 Current State: 59:[17, 42], Operations: ['36/18=2', '84/2=42'] Exploring Operation: 17+42=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 39, 26, 63, 16 ]
66
[ "39-26=13", "63+16=79", "79-13=66" ]
Current State: 66:[39, 26, 63, 16], Operations: [] Exploring Operation: 39-26=13, Resulting Numbers: [63, 16, 13] Generated Node #2: [63, 16, 13] from Operation: 39-26=13 Current State: 66:[63, 16, 13], Operations: ['39-26=13'] Exploring Operation: 63+16=79, Resulting Numbers: [13, 79] Generated Node #3: [13, 79] from Operation: 63+16=79 Current State: 66:[13, 79], Operations: ['39-26=13', '63+16=79'] Exploring Operation: 79-13=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 99, 6, 53, 8 ]
23
[ "99-53=46", "8-6=2", "46/2=23" ]
Current State: 23:[99, 6, 53, 8], Operations: [] Exploring Operation: 99-53=46, Resulting Numbers: [6, 8, 46] Generated Node #2: [6, 8, 46] from Operation: 99-53=46 Current State: 23:[6, 8, 46], Operations: ['99-53=46'] Exploring Operation: 8-6=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 8-6=2 Current State: 23:[46, 2], Operations: ['99-53=46', '8-6=2'] Exploring Operation: 46/2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 2, 20, 27, 35 ]
11
[ "27+35=62", "62/2=31", "31-20=11" ]
Current State: 11:[2, 20, 27, 35], Operations: [] Exploring Operation: 27+35=62, Resulting Numbers: [2, 20, 62] Generated Node #2: [2, 20, 62] from Operation: 27+35=62 Current State: 11:[2, 20, 62], Operations: ['27+35=62'] Exploring Operation: 62/2=31, Resulting Numbers: [20, 31] Generated Node #3: [20, 31] from Operation: 62/2=31 Current State: 11:[20, 31], Operations: ['27+35=62', '62/2=31'] Exploring Operation: 31-20=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 24, 4, 95, 6 ]
53
[ "24*6=144", "95-4=91", "144-91=53" ]
Current State: 53:[24, 4, 95, 6], Operations: [] Exploring Operation: 24*6=144, Resulting Numbers: [4, 95, 144] Generated Node #2: [4, 95, 144] from Operation: 24*6=144 Current State: 53:[4, 95, 144], Operations: ['24*6=144'] Exploring Operation: 95-4=91, Resulting Numbers: [144, 91] Generated Node #3: [144, 91] from Operation: 95-4=91 Current State: 53:[144, 91], Operations: ['24*6=144', '95-4=91'] Exploring Operation: 144-91=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 28, 95, 19, 18 ]
30
[ "95-28=67", "19+18=37", "67-37=30" ]
Current State: 30:[28, 95, 19, 18], Operations: [] Exploring Operation: 95-28=67, Resulting Numbers: [19, 18, 67] Generated Node #2: [19, 18, 67] from Operation: 95-28=67 Current State: 30:[19, 18, 67], Operations: ['95-28=67'] Exploring Operation: 19+18=37, Resulting Numbers: [67, 37] Generated Node #3: [67, 37] from Operation: 19+18=37 Current State: 30:[67, 37], Operations: ['95-28=67', '19+18=37'] Exploring Operation: 67-37=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 12, 94, 62, 77 ]
67
[ "94-12=82", "77-62=15", "82-15=67" ]
Current State: 67:[12, 94, 62, 77], Operations: [] Exploring Operation: 94-12=82, Resulting Numbers: [62, 77, 82] Generated Node #2: [62, 77, 82] from Operation: 94-12=82 Current State: 67:[62, 77, 82], Operations: ['94-12=82'] Exploring Operation: 77-62=15, Resulting Numbers: [82, 15] Generated Node #3: [82, 15] from Operation: 77-62=15 Current State: 67:[82, 15], Operations: ['94-12=82', '77-62=15'] Exploring Operation: 82-15=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 49, 50, 57, 9 ]
49
[ "50-49=1", "57-9=48", "1+48=49" ]
Current State: 49:[49, 50, 57, 9], Operations: [] Exploring Operation: 50-49=1, Resulting Numbers: [57, 9, 1] Generated Node #2: [57, 9, 1] from Operation: 50-49=1 Current State: 49:[57, 9, 1], Operations: ['50-49=1'] Exploring Operation: 57-9=48, Resulting Numbers: [1, 48] Generated Node #3: [1, 48] from Operation: 57-9=48 Current State: 49:[1, 48], Operations: ['50-49=1', '57-9=48'] Exploring Operation: 1+48=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 84, 22, 73, 11 ]
99
[ "84-73=11", "11*11=121", "121-22=99" ]
Current State: 99:[84, 22, 73, 11], Operations: [] Exploring Operation: 84-73=11, Resulting Numbers: [22, 11, 11] Generated Node #2: [22, 11, 11] from Operation: 84-73=11 Current State: 99:[22, 11, 11], Operations: ['84-73=11'] Exploring Operation: 11*11=121, Resulting Numbers: [22, 121] Generated Node #3: [22, 121] from Operation: 11*11=121 Current State: 99:[22, 121], Operations: ['84-73=11', '11*11=121'] Exploring Operation: 121-22=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 84, 4, 8, 42 ]
63
[ "84+42=126", "8/4=2", "126/2=63" ]
Current State: 63:[84, 4, 8, 42], Operations: [] Exploring Operation: 84+42=126, Resulting Numbers: [4, 8, 126] Generated Node #2: [4, 8, 126] from Operation: 84+42=126 Current State: 63:[4, 8, 126], Operations: ['84+42=126'] Exploring Operation: 8/4=2, Resulting Numbers: [126, 2] Generated Node #3: [126, 2] from Operation: 8/4=2 Current State: 63:[126, 2], Operations: ['84+42=126', '8/4=2'] Exploring Operation: 126/2=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 49, 81, 15, 89 ]
71
[ "89-81=8", "15*8=120", "120-49=71" ]
Current State: 71:[49, 81, 15, 89], Operations: [] Exploring Operation: 89-81=8, Resulting Numbers: [49, 15, 8] Generated Node #2: [49, 15, 8] from Operation: 89-81=8 Current State: 71:[49, 15, 8], Operations: ['89-81=8'] Exploring Operation: 15*8=120, Resulting Numbers: [49, 120] Generated Node #3: [49, 120] from Operation: 15*8=120 Current State: 71:[49, 120], Operations: ['89-81=8', '15*8=120'] Exploring Operation: 120-49=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 4, 14, 78, 61 ]
45
[ "78-14=64", "64/4=16", "61-16=45" ]
Current State: 45:[4, 14, 78, 61], Operations: [] Exploring Operation: 78-14=64, Resulting Numbers: [4, 61, 64] Generated Node #2: [4, 61, 64] from Operation: 78-14=64 Current State: 45:[4, 61, 64], Operations: ['78-14=64'] Exploring Operation: 64/4=16, Resulting Numbers: [61, 16] Generated Node #3: [61, 16] from Operation: 64/4=16 Current State: 45:[61, 16], Operations: ['78-14=64', '64/4=16'] Exploring Operation: 61-16=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 76, 54, 8, 81 ]
51
[ "76-54=22", "81-8=73", "73-22=51" ]
Current State: 51:[76, 54, 8, 81], Operations: [] Exploring Operation: 76-54=22, Resulting Numbers: [8, 81, 22] Generated Node #2: [8, 81, 22] from Operation: 76-54=22 Current State: 51:[8, 81, 22], Operations: ['76-54=22'] Exploring Operation: 81-8=73, Resulting Numbers: [22, 73] Generated Node #3: [22, 73] from Operation: 81-8=73 Current State: 51:[22, 73], Operations: ['76-54=22', '81-8=73'] Exploring Operation: 73-22=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 3, 43, 84, 80 ]
31
[ "84-80=4", "3*4=12", "43-12=31" ]
Current State: 31:[3, 43, 84, 80], Operations: [] Exploring Operation: 84-80=4, Resulting Numbers: [3, 43, 4] Generated Node #2: [3, 43, 4] from Operation: 84-80=4 Current State: 31:[3, 43, 4], Operations: ['84-80=4'] Exploring Operation: 3*4=12, Resulting Numbers: [43, 12] Generated Node #3: [43, 12] from Operation: 3*4=12 Current State: 31:[43, 12], Operations: ['84-80=4', '3*4=12'] Exploring Operation: 43-12=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 90, 39, 79, 74 ]
57
[ "79-74=5", "90/5=18", "39+18=57" ]
Current State: 57:[90, 39, 79, 74], Operations: [] Exploring Operation: 79-74=5, Resulting Numbers: [90, 39, 5] Generated Node #2: [90, 39, 5] from Operation: 79-74=5 Current State: 57:[90, 39, 5], Operations: ['79-74=5'] Exploring Operation: 90/5=18, Resulting Numbers: [39, 18] Generated Node #3: [39, 18] from Operation: 90/5=18 Current State: 57:[39, 18], Operations: ['79-74=5', '90/5=18'] Exploring Operation: 39+18=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 93, 62, 51, 85 ]
65
[ "93-62=31", "85-51=34", "31+34=65" ]
Current State: 65:[93, 62, 51, 85], Operations: [] Exploring Operation: 93-62=31, Resulting Numbers: [51, 85, 31] Generated Node #2: [51, 85, 31] from Operation: 93-62=31 Current State: 65:[51, 85, 31], Operations: ['93-62=31'] Exploring Operation: 85-51=34, Resulting Numbers: [31, 34] Generated Node #3: [31, 34] from Operation: 85-51=34 Current State: 65:[31, 34], Operations: ['93-62=31', '85-51=34'] Exploring Operation: 31+34=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 73, 19, 10, 28 ]
54
[ "73+19=92", "10+28=38", "92-38=54" ]
Current State: 54:[73, 19, 10, 28], Operations: [] Exploring Operation: 73+19=92, Resulting Numbers: [10, 28, 92] Generated Node #2: [10, 28, 92] from Operation: 73+19=92 Current State: 54:[10, 28, 92], Operations: ['73+19=92'] Exploring Operation: 10+28=38, Resulting Numbers: [92, 38] Generated Node #3: [92, 38] from Operation: 10+28=38 Current State: 54:[92, 38], Operations: ['73+19=92', '10+28=38'] Exploring Operation: 92-38=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 15, 24, 35, 46 ]
20
[ "24-15=9", "46-35=11", "9+11=20" ]
Current State: 20:[15, 24, 35, 46], Operations: [] Exploring Operation: 24-15=9, Resulting Numbers: [35, 46, 9] Generated Node #2: [35, 46, 9] from Operation: 24-15=9 Current State: 20:[35, 46, 9], Operations: ['24-15=9'] Exploring Operation: 46-35=11, Resulting Numbers: [9, 11] Generated Node #3: [9, 11] from Operation: 46-35=11 Current State: 20:[9, 11], Operations: ['24-15=9', '46-35=11'] Exploring Operation: 9+11=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 55, 46, 55, 96 ]
51
[ "55/55=1", "96-46=50", "1+50=51" ]
Current State: 51:[55, 46, 55, 96], Operations: [] Exploring Operation: 55/55=1, Resulting Numbers: [46, 96, 1] Generated Node #2: [46, 96, 1] from Operation: 55/55=1 Current State: 51:[46, 96, 1], Operations: ['55/55=1'] Exploring Operation: 96-46=50, Resulting Numbers: [1, 50] Generated Node #3: [1, 50] from Operation: 96-46=50 Current State: 51:[1, 50], Operations: ['55/55=1', '96-46=50'] Exploring Operation: 1+50=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 4, 50, 73, 65 ]
46
[ "4+50=54", "73-65=8", "54-8=46" ]
Current State: 46:[4, 50, 73, 65], Operations: [] Exploring Operation: 4+50=54, Resulting Numbers: [73, 65, 54] Generated Node #2: [73, 65, 54] from Operation: 4+50=54 Current State: 46:[73, 65, 54], Operations: ['4+50=54'] Exploring Operation: 73-65=8, Resulting Numbers: [54, 8] Generated Node #3: [54, 8] from Operation: 73-65=8 Current State: 46:[54, 8], Operations: ['4+50=54', '73-65=8'] Exploring Operation: 54-8=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 81, 96, 45, 27 ]
54
[ "81/27=3", "96-45=51", "3+51=54" ]
Current State: 54:[81, 96, 45, 27], Operations: [] Exploring Operation: 81/27=3, Resulting Numbers: [96, 45, 3] Generated Node #2: [96, 45, 3] from Operation: 81/27=3 Current State: 54:[96, 45, 3], Operations: ['81/27=3'] Exploring Operation: 96-45=51, Resulting Numbers: [3, 51] Generated Node #3: [3, 51] from Operation: 96-45=51 Current State: 54:[3, 51], Operations: ['81/27=3', '96-45=51'] Exploring Operation: 3+51=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 56, 77, 32, 2 ]
33
[ "56+32=88", "88/2=44", "77-44=33" ]
Current State: 33:[56, 77, 32, 2], Operations: [] Exploring Operation: 56+32=88, Resulting Numbers: [77, 2, 88] Generated Node #2: [77, 2, 88] from Operation: 56+32=88 Current State: 33:[77, 2, 88], Operations: ['56+32=88'] Exploring Operation: 88/2=44, Resulting Numbers: [77, 44] Generated Node #3: [77, 44] from Operation: 88/2=44 Current State: 33:[77, 44], Operations: ['56+32=88', '88/2=44'] Exploring Operation: 77-44=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 5, 95, 27, 84 ]
11
[ "5+95=100", "27+84=111", "111-100=11" ]
Current State: 11:[5, 95, 27, 84], Operations: [] Exploring Operation: 5+95=100, Resulting Numbers: [27, 84, 100] Generated Node #2: [27, 84, 100] from Operation: 5+95=100 Current State: 11:[27, 84, 100], Operations: ['5+95=100'] Exploring Operation: 27+84=111, Resulting Numbers: [100, 111] Generated Node #3: [100, 111] from Operation: 27+84=111 Current State: 11:[100, 111], Operations: ['5+95=100', '27+84=111'] Exploring Operation: 111-100=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 48, 11, 92, 99 ]
52
[ "48+11=59", "99-92=7", "59-7=52" ]
Current State: 52:[48, 11, 92, 99], Operations: [] Exploring Operation: 48+11=59, Resulting Numbers: [92, 99, 59] Generated Node #2: [92, 99, 59] from Operation: 48+11=59 Current State: 52:[92, 99, 59], Operations: ['48+11=59'] Exploring Operation: 99-92=7, Resulting Numbers: [59, 7] Generated Node #3: [59, 7] from Operation: 99-92=7 Current State: 52:[59, 7], Operations: ['48+11=59', '99-92=7'] Exploring Operation: 59-7=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 14, 5, 69, 49 ]
39
[ "14+5=19", "69-49=20", "19+20=39" ]
Current State: 39:[14, 5, 69, 49], Operations: [] Exploring Operation: 14+5=19, Resulting Numbers: [69, 49, 19] Generated Node #2: [69, 49, 19] from Operation: 14+5=19 Current State: 39:[69, 49, 19], Operations: ['14+5=19'] Exploring Operation: 69-49=20, Resulting Numbers: [19, 20] Generated Node #3: [19, 20] from Operation: 69-49=20 Current State: 39:[19, 20], Operations: ['14+5=19', '69-49=20'] Exploring Operation: 19+20=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 43, 6, 30, 21 ]
88
[ "43-6=37", "30+21=51", "37+51=88" ]
Current State: 88:[43, 6, 30, 21], Operations: [] Exploring Operation: 43-6=37, Resulting Numbers: [30, 21, 37] Generated Node #2: [30, 21, 37] from Operation: 43-6=37 Current State: 88:[30, 21, 37], Operations: ['43-6=37'] Exploring Operation: 30+21=51, Resulting Numbers: [37, 51] Generated Node #3: [37, 51] from Operation: 30+21=51 Current State: 88:[37, 51], Operations: ['43-6=37', '30+21=51'] Exploring Operation: 37+51=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 4, 8, 67, 44 ]
76
[ "44-8=36", "36/4=9", "67+9=76" ]
Current State: 76:[4, 8, 67, 44], Operations: [] Exploring Operation: 44-8=36, Resulting Numbers: [4, 67, 36] Generated Node #2: [4, 67, 36] from Operation: 44-8=36 Current State: 76:[4, 67, 36], Operations: ['44-8=36'] Exploring Operation: 36/4=9, Resulting Numbers: [67, 9] Generated Node #3: [67, 9] from Operation: 36/4=9 Current State: 76:[67, 9], Operations: ['44-8=36', '36/4=9'] Exploring Operation: 67+9=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 45, 54, 65, 1 ]
79
[ "54*65=3510", "3510/45=78", "1+78=79" ]
Current State: 79:[45, 54, 65, 1], Operations: [] Exploring Operation: 54*65=3510, Resulting Numbers: [45, 1, 3510] Generated Node #2: [45, 1, 3510] from Operation: 54*65=3510 Current State: 79:[45, 1, 3510], Operations: ['54*65=3510'] Exploring Operation: 3510/45=78, Resulting Numbers: [1, 78] Generated Node #3: [1, 78] from Operation: 3510/45=78 Current State: 79:[1, 78], Operations: ['54*65=3510', '3510/45=78'] Exploring Operation: 1+78=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 30, 12, 59, 55 ]
96
[ "30-12=18", "59+55=114", "114-18=96" ]
Current State: 96:[30, 12, 59, 55], Operations: [] Exploring Operation: 30-12=18, Resulting Numbers: [59, 55, 18] Generated Node #2: [59, 55, 18] from Operation: 30-12=18 Current State: 96:[59, 55, 18], Operations: ['30-12=18'] Exploring Operation: 59+55=114, Resulting Numbers: [18, 114] Generated Node #3: [18, 114] from Operation: 59+55=114 Current State: 96:[18, 114], Operations: ['30-12=18', '59+55=114'] Exploring Operation: 114-18=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 20, 70, 10, 69 ]
34
[ "20/10=2", "70/2=35", "69-35=34" ]
Current State: 34:[20, 70, 10, 69], Operations: [] Exploring Operation: 20/10=2, Resulting Numbers: [70, 69, 2] Generated Node #2: [70, 69, 2] from Operation: 20/10=2 Current State: 34:[70, 69, 2], Operations: ['20/10=2'] Exploring Operation: 70/2=35, Resulting Numbers: [69, 35] Generated Node #3: [69, 35] from Operation: 70/2=35 Current State: 34:[69, 35], Operations: ['20/10=2', '70/2=35'] Exploring Operation: 69-35=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 9, 14, 21, 59 ]
88
[ "9*14=126", "59-21=38", "126-38=88" ]
Current State: 88:[9, 14, 21, 59], Operations: [] Exploring Operation: 9*14=126, Resulting Numbers: [21, 59, 126] Generated Node #2: [21, 59, 126] from Operation: 9*14=126 Current State: 88:[21, 59, 126], Operations: ['9*14=126'] Exploring Operation: 59-21=38, Resulting Numbers: [126, 38] Generated Node #3: [126, 38] from Operation: 59-21=38 Current State: 88:[126, 38], Operations: ['9*14=126', '59-21=38'] Exploring Operation: 126-38=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 33, 27, 18, 39 ]
54
[ "39-33=6", "27-18=9", "6*9=54" ]
Current State: 54:[33, 27, 18, 39], Operations: [] Exploring Operation: 39-33=6, Resulting Numbers: [27, 18, 6] Generated Node #2: [27, 18, 6] from Operation: 39-33=6 Current State: 54:[27, 18, 6], Operations: ['39-33=6'] Exploring Operation: 27-18=9, Resulting Numbers: [6, 9] Generated Node #3: [6, 9] from Operation: 27-18=9 Current State: 54:[6, 9], Operations: ['39-33=6', '27-18=9'] Exploring Operation: 6*9=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 66, 62, 71, 78 ]
16
[ "66+78=144", "71-62=9", "144/9=16" ]
Current State: 16:[66, 62, 71, 78], Operations: [] Exploring Operation: 66+78=144, Resulting Numbers: [62, 71, 144] Generated Node #2: [62, 71, 144] from Operation: 66+78=144 Current State: 16:[62, 71, 144], Operations: ['66+78=144'] Exploring Operation: 71-62=9, Resulting Numbers: [144, 9] Generated Node #3: [144, 9] from Operation: 71-62=9 Current State: 16:[144, 9], Operations: ['66+78=144', '71-62=9'] Exploring Operation: 144/9=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 13, 49, 64, 52 ]
65
[ "13*64=832", "832/52=16", "49+16=65" ]
Current State: 65:[13, 49, 64, 52], Operations: [] Exploring Operation: 13*64=832, Resulting Numbers: [49, 52, 832] Generated Node #2: [49, 52, 832] from Operation: 13*64=832 Current State: 65:[49, 52, 832], Operations: ['13*64=832'] Exploring Operation: 832/52=16, Resulting Numbers: [49, 16] Generated Node #3: [49, 16] from Operation: 832/52=16 Current State: 65:[49, 16], Operations: ['13*64=832', '832/52=16'] Exploring Operation: 49+16=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 3, 50, 68, 57 ]
89
[ "57-50=7", "3*7=21", "68+21=89" ]
Current State: 89:[3, 50, 68, 57], Operations: [] Exploring Operation: 57-50=7, Resulting Numbers: [3, 68, 7] Generated Node #2: [3, 68, 7] from Operation: 57-50=7 Current State: 89:[3, 68, 7], Operations: ['57-50=7'] Exploring Operation: 3*7=21, Resulting Numbers: [68, 21] Generated Node #3: [68, 21] from Operation: 3*7=21 Current State: 89:[68, 21], Operations: ['57-50=7', '3*7=21'] Exploring Operation: 68+21=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 45, 4, 8, 61 ]
94
[ "45-4=41", "61-8=53", "41+53=94" ]
Current State: 94:[45, 4, 8, 61], Operations: [] Exploring Operation: 45-4=41, Resulting Numbers: [8, 61, 41] Generated Node #2: [8, 61, 41] from Operation: 45-4=41 Current State: 94:[8, 61, 41], Operations: ['45-4=41'] Exploring Operation: 61-8=53, Resulting Numbers: [41, 53] Generated Node #3: [41, 53] from Operation: 61-8=53 Current State: 94:[41, 53], Operations: ['45-4=41', '61-8=53'] Exploring Operation: 41+53=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 5, 18, 9, 2 ]
44
[ "18-5=13", "9+13=22", "2*22=44" ]
Current State: 44:[5, 18, 9, 2], Operations: [] Exploring Operation: 18-5=13, Resulting Numbers: [9, 2, 13] Generated Node #2: [9, 2, 13] from Operation: 18-5=13 Current State: 44:[9, 2, 13], Operations: ['18-5=13'] Exploring Operation: 9+13=22, Resulting Numbers: [2, 22] Generated Node #3: [2, 22] from Operation: 9+13=22 Current State: 44:[2, 22], Operations: ['18-5=13', '9+13=22'] Exploring Operation: 2*22=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 41, 35, 73, 33 ]
100
[ "41-35=6", "73+33=106", "106-6=100" ]
Current State: 100:[41, 35, 73, 33], Operations: [] Exploring Operation: 41-35=6, Resulting Numbers: [73, 33, 6] Generated Node #2: [73, 33, 6] from Operation: 41-35=6 Current State: 100:[73, 33, 6], Operations: ['41-35=6'] Exploring Operation: 73+33=106, Resulting Numbers: [6, 106] Generated Node #3: [6, 106] from Operation: 73+33=106 Current State: 100:[6, 106], Operations: ['41-35=6', '73+33=106'] Exploring Operation: 106-6=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 14, 28, 13, 67 ]
39
[ "14-13=1", "67-28=39", "1*39=39" ]
Current State: 39:[14, 28, 13, 67], Operations: [] Exploring Operation: 14-13=1, Resulting Numbers: [28, 67, 1] Generated Node #2: [28, 67, 1] from Operation: 14-13=1 Current State: 39:[28, 67, 1], Operations: ['14-13=1'] Exploring Operation: 67-28=39, Resulting Numbers: [1, 39] Generated Node #3: [1, 39] from Operation: 67-28=39 Current State: 39:[1, 39], Operations: ['14-13=1', '67-28=39'] Exploring Operation: 1*39=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 28, 60, 46, 32 ]
46
[ "60-28=32", "46+32=78", "78-32=46" ]
Current State: 46:[28, 60, 46, 32], Operations: [] Exploring Operation: 60-28=32, Resulting Numbers: [46, 32, 32] Generated Node #2: [46, 32, 32] from Operation: 60-28=32 Current State: 46:[46, 32, 32], Operations: ['60-28=32'] Exploring Operation: 46+32=78, Resulting Numbers: [78] 78,46 equal: Goal Reached Exploring Operation: 78-32=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 2, 21, 72, 29 ]
68
[ "29-21=8", "8/2=4", "72-4=68" ]
Current State: 68:[2, 21, 72, 29], Operations: [] Exploring Operation: 29-21=8, Resulting Numbers: [2, 72, 8] Generated Node #2: [2, 72, 8] from Operation: 29-21=8 Current State: 68:[2, 72, 8], Operations: ['29-21=8'] Exploring Operation: 8/2=4, Resulting Numbers: [72, 4] Generated Node #3: [72, 4] from Operation: 8/2=4 Current State: 68:[72, 4], Operations: ['29-21=8', '8/2=4'] Exploring Operation: 72-4=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 1, 82, 8, 16 ]
89
[ "82-1=81", "16-8=8", "81+8=89" ]
Current State: 89:[1, 82, 8, 16], Operations: [] Exploring Operation: 82-1=81, Resulting Numbers: [8, 16, 81] Generated Node #2: [8, 16, 81] from Operation: 82-1=81 Current State: 89:[8, 16, 81], Operations: ['82-1=81'] Exploring Operation: 16-8=8, Resulting Numbers: [81, 8] Generated Node #3: [81, 8] from Operation: 16-8=8 Current State: 89:[81, 8], Operations: ['82-1=81', '16-8=8'] Exploring Operation: 81+8=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 94, 92, 26, 96 ]
24
[ "92+96=188", "188/94=2", "26-2=24" ]
Current State: 24:[94, 92, 26, 96], Operations: [] Exploring Operation: 92+96=188, Resulting Numbers: [94, 26, 188] Generated Node #2: [94, 26, 188] from Operation: 92+96=188 Current State: 24:[94, 26, 188], Operations: ['92+96=188'] Exploring Operation: 188/94=2, Resulting Numbers: [26, 2] Generated Node #3: [26, 2] from Operation: 188/94=2 Current State: 24:[26, 2], Operations: ['92+96=188', '188/94=2'] Exploring Operation: 26-2=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 51, 89, 2, 99 ]
71
[ "99-89=10", "2*10=20", "51+20=71" ]
Current State: 71:[51, 89, 2, 99], Operations: [] Exploring Operation: 99-89=10, Resulting Numbers: [51, 2, 10] Generated Node #2: [51, 2, 10] from Operation: 99-89=10 Current State: 71:[51, 2, 10], Operations: ['99-89=10'] Exploring Operation: 2*10=20, Resulting Numbers: [51, 20] Generated Node #3: [51, 20] from Operation: 2*10=20 Current State: 71:[51, 20], Operations: ['99-89=10', '2*10=20'] Exploring Operation: 51+20=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 98, 36, 35, 6 ]
76
[ "98+36=134", "35*6=210", "210-134=76" ]
Current State: 76:[98, 36, 35, 6], Operations: [] Exploring Operation: 98+36=134, Resulting Numbers: [35, 6, 134] Generated Node #2: [35, 6, 134] from Operation: 98+36=134 Current State: 76:[35, 6, 134], Operations: ['98+36=134'] Exploring Operation: 35*6=210, Resulting Numbers: [134, 210] Generated Node #3: [134, 210] from Operation: 35*6=210 Current State: 76:[134, 210], Operations: ['98+36=134', '35*6=210'] Exploring Operation: 210-134=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 35, 81, 6, 10 ]
11
[ "35+81=116", "116-6=110", "110/10=11" ]
Current State: 11:[35, 81, 6, 10], Operations: [] Exploring Operation: 35+81=116, Resulting Numbers: [6, 10, 116] Generated Node #2: [6, 10, 116] from Operation: 35+81=116 Current State: 11:[6, 10, 116], Operations: ['35+81=116'] Exploring Operation: 116-6=110, Resulting Numbers: [10, 110] Generated Node #3: [10, 110] from Operation: 116-6=110 Current State: 11:[10, 110], Operations: ['35+81=116', '116-6=110'] Exploring Operation: 110/10=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 97, 3, 82, 47 ]
92
[ "97-82=15", "3*15=45", "47+45=92" ]
Current State: 92:[97, 3, 82, 47], Operations: [] Exploring Operation: 97-82=15, Resulting Numbers: [3, 47, 15] Generated Node #2: [3, 47, 15] from Operation: 97-82=15 Current State: 92:[3, 47, 15], Operations: ['97-82=15'] Exploring Operation: 3*15=45, Resulting Numbers: [47, 45] Generated Node #3: [47, 45] from Operation: 3*15=45 Current State: 92:[47, 45], Operations: ['97-82=15', '3*15=45'] Exploring Operation: 47+45=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 89, 37, 87, 6 ]
34
[ "89-87=2", "6/2=3", "37-3=34" ]
Current State: 34:[89, 37, 87, 6], Operations: [] Exploring Operation: 89-87=2, Resulting Numbers: [37, 6, 2] Generated Node #2: [37, 6, 2] from Operation: 89-87=2 Current State: 34:[37, 6, 2], Operations: ['89-87=2'] Exploring Operation: 6/2=3, Resulting Numbers: [37, 3] Generated Node #3: [37, 3] from Operation: 6/2=3 Current State: 34:[37, 3], Operations: ['89-87=2', '6/2=3'] Exploring Operation: 37-3=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 98, 68, 26, 56 ]
24
[ "68-26=42", "56*42=2352", "2352/98=24" ]
Current State: 24:[98, 68, 26, 56], Operations: [] Exploring Operation: 68-26=42, Resulting Numbers: [98, 56, 42] Generated Node #2: [98, 56, 42] from Operation: 68-26=42 Current State: 24:[98, 56, 42], Operations: ['68-26=42'] Exploring Operation: 56*42=2352, Resulting Numbers: [98, 2352] Generated Node #3: [98, 2352] from Operation: 56*42=2352 Current State: 24:[98, 2352], Operations: ['68-26=42', '56*42=2352'] Exploring Operation: 2352/98=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 38, 5, 69, 91 ]
80
[ "38+69=107", "107-91=16", "5*16=80" ]
Current State: 80:[38, 5, 69, 91], Operations: [] Exploring Operation: 38+69=107, Resulting Numbers: [5, 91, 107] Generated Node #2: [5, 91, 107] from Operation: 38+69=107 Current State: 80:[5, 91, 107], Operations: ['38+69=107'] Exploring Operation: 107-91=16, Resulting Numbers: [5, 16] Generated Node #3: [5, 16] from Operation: 107-91=16 Current State: 80:[5, 16], Operations: ['38+69=107', '107-91=16'] Exploring Operation: 5*16=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 39, 79, 57, 79 ]
17
[ "57-39=18", "79/79=1", "18-1=17" ]
Current State: 17:[39, 79, 57, 79], Operations: [] Exploring Operation: 57-39=18, Resulting Numbers: [79, 79, 18] Generated Node #2: [79, 79, 18] from Operation: 57-39=18 Current State: 17:[79, 79, 18], Operations: ['57-39=18'] Exploring Operation: 79/79=1, Resulting Numbers: [18, 1] Generated Node #3: [18, 1] from Operation: 79/79=1 Current State: 17:[18, 1], Operations: ['57-39=18', '79/79=1'] Exploring Operation: 18-1=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 11, 3, 25, 56 ]
48
[ "11*3=33", "25+56=81", "81-33=48" ]
Current State: 48:[11, 3, 25, 56], Operations: [] Exploring Operation: 11*3=33, Resulting Numbers: [25, 56, 33] Generated Node #2: [25, 56, 33] from Operation: 11*3=33 Current State: 48:[25, 56, 33], Operations: ['11*3=33'] Exploring Operation: 25+56=81, Resulting Numbers: [33, 81] Generated Node #3: [33, 81] from Operation: 25+56=81 Current State: 48:[33, 81], Operations: ['11*3=33', '25+56=81'] Exploring Operation: 81-33=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 77, 87, 43, 36 ]
69
[ "87-77=10", "43+36=79", "79-10=69" ]
Current State: 69:[77, 87, 43, 36], Operations: [] Exploring Operation: 87-77=10, Resulting Numbers: [43, 36, 10] Generated Node #2: [43, 36, 10] from Operation: 87-77=10 Current State: 69:[43, 36, 10], Operations: ['87-77=10'] Exploring Operation: 43+36=79, Resulting Numbers: [10, 79] Generated Node #3: [10, 79] from Operation: 43+36=79 Current State: 69:[10, 79], Operations: ['87-77=10', '43+36=79'] Exploring Operation: 79-10=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 17, 81, 31, 83 ]
46
[ "17+81=98", "83-31=52", "98-52=46" ]
Current State: 46:[17, 81, 31, 83], Operations: [] Exploring Operation: 17+81=98, Resulting Numbers: [31, 83, 98] Generated Node #2: [31, 83, 98] from Operation: 17+81=98 Current State: 46:[31, 83, 98], Operations: ['17+81=98'] Exploring Operation: 83-31=52, Resulting Numbers: [98, 52] Generated Node #3: [98, 52] from Operation: 83-31=52 Current State: 46:[98, 52], Operations: ['17+81=98', '83-31=52'] Exploring Operation: 98-52=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 68, 34, 67, 23 ]
58
[ "68+34=102", "67-23=44", "102-44=58" ]
Current State: 58:[68, 34, 67, 23], Operations: [] Exploring Operation: 68+34=102, Resulting Numbers: [67, 23, 102] Generated Node #2: [67, 23, 102] from Operation: 68+34=102 Current State: 58:[67, 23, 102], Operations: ['68+34=102'] Exploring Operation: 67-23=44, Resulting Numbers: [102, 44] Generated Node #3: [102, 44] from Operation: 67-23=44 Current State: 58:[102, 44], Operations: ['68+34=102', '67-23=44'] Exploring Operation: 102-44=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 25, 41, 23, 40 ]
57
[ "25*40=1000", "41*23=943", "1000-943=57" ]
Current State: 57:[25, 41, 23, 40], Operations: [] Exploring Operation: 25*40=1000, Resulting Numbers: [41, 23, 1000] Generated Node #2: [41, 23, 1000] from Operation: 25*40=1000 Current State: 57:[41, 23, 1000], Operations: ['25*40=1000'] Exploring Operation: 41*23=943, Resulting Numbers: [1000, 943] Generated Node #3: [1000, 943] from Operation: 41*23=943 Current State: 57:[1000, 943], Operations: ['25*40=1000', '41*23=943'] Exploring Operation: 1000-943=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 64, 30, 15, 97 ]
31
[ "64*30=1920", "1920/15=128", "128-97=31" ]
Current State: 31:[64, 30, 15, 97], Operations: [] Exploring Operation: 64*30=1920, Resulting Numbers: [15, 97, 1920] Generated Node #2: [15, 97, 1920] from Operation: 64*30=1920 Current State: 31:[15, 97, 1920], Operations: ['64*30=1920'] Exploring Operation: 1920/15=128, Resulting Numbers: [97, 128] Generated Node #3: [97, 128] from Operation: 1920/15=128 Current State: 31:[97, 128], Operations: ['64*30=1920', '1920/15=128'] Exploring Operation: 128-97=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 23, 38, 14, 66 ]
70
[ "23+38=61", "66-61=5", "14*5=70" ]
Current State: 70:[23, 38, 14, 66], Operations: [] Exploring Operation: 23+38=61, Resulting Numbers: [14, 66, 61] Generated Node #2: [14, 66, 61] from Operation: 23+38=61 Current State: 70:[14, 66, 61], Operations: ['23+38=61'] Exploring Operation: 66-61=5, Resulting Numbers: [14, 5] Generated Node #3: [14, 5] from Operation: 66-61=5 Current State: 70:[14, 5], Operations: ['23+38=61', '66-61=5'] Exploring Operation: 14*5=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 37, 76, 74, 60 ]
14
[ "74/37=2", "76-60=16", "16-2=14" ]
Current State: 14:[37, 76, 74, 60], Operations: [] Exploring Operation: 74/37=2, Resulting Numbers: [76, 60, 2] Generated Node #2: [76, 60, 2] from Operation: 74/37=2 Current State: 14:[76, 60, 2], Operations: ['74/37=2'] Exploring Operation: 76-60=16, Resulting Numbers: [2, 16] Generated Node #3: [2, 16] from Operation: 76-60=16 Current State: 14:[2, 16], Operations: ['74/37=2', '76-60=16'] Exploring Operation: 16-2=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 93, 61, 52, 51 ]
33
[ "93-61=32", "52-51=1", "32+1=33" ]
Current State: 33:[93, 61, 52, 51], Operations: [] Exploring Operation: 93-61=32, Resulting Numbers: [52, 51, 32] Generated Node #2: [52, 51, 32] from Operation: 93-61=32 Current State: 33:[52, 51, 32], Operations: ['93-61=32'] Exploring Operation: 52-51=1, Resulting Numbers: [32, 1] Generated Node #3: [32, 1] from Operation: 52-51=1 Current State: 33:[32, 1], Operations: ['93-61=32', '52-51=1'] Exploring Operation: 32+1=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 8, 54, 49, 51 ]
58
[ "51-49=2", "8/2=4", "54+4=58" ]
Current State: 58:[8, 54, 49, 51], Operations: [] Exploring Operation: 51-49=2, Resulting Numbers: [8, 54, 2] Generated Node #2: [8, 54, 2] from Operation: 51-49=2 Current State: 58:[8, 54, 2], Operations: ['51-49=2'] Exploring Operation: 8/2=4, Resulting Numbers: [54, 4] Generated Node #3: [54, 4] from Operation: 8/2=4 Current State: 58:[54, 4], Operations: ['51-49=2', '8/2=4'] Exploring Operation: 54+4=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 75, 5, 60, 54 ]
57
[ "75-60=15", "15/5=3", "54+3=57" ]
Current State: 57:[75, 5, 60, 54], Operations: [] Exploring Operation: 75-60=15, Resulting Numbers: [5, 54, 15] Generated Node #2: [5, 54, 15] from Operation: 75-60=15 Current State: 57:[5, 54, 15], Operations: ['75-60=15'] Exploring Operation: 15/5=3, Resulting Numbers: [54, 3] Generated Node #3: [54, 3] from Operation: 15/5=3 Current State: 57:[54, 3], Operations: ['75-60=15', '15/5=3'] Exploring Operation: 54+3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 65, 15, 89, 25 ]
50
[ "65*15=975", "975/25=39", "89-39=50" ]
Current State: 50:[65, 15, 89, 25], Operations: [] Exploring Operation: 65*15=975, Resulting Numbers: [89, 25, 975] Generated Node #2: [89, 25, 975] from Operation: 65*15=975 Current State: 50:[89, 25, 975], Operations: ['65*15=975'] Exploring Operation: 975/25=39, Resulting Numbers: [89, 39] Generated Node #3: [89, 39] from Operation: 975/25=39 Current State: 50:[89, 39], Operations: ['65*15=975', '975/25=39'] Exploring Operation: 89-39=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 6, 34, 29, 42 ]
58
[ "6+34=40", "42-40=2", "29*2=58" ]
Current State: 58:[6, 34, 29, 42], Operations: [] Exploring Operation: 6+34=40, Resulting Numbers: [29, 42, 40] Generated Node #2: [29, 42, 40] from Operation: 6+34=40 Current State: 58:[29, 42, 40], Operations: ['6+34=40'] Exploring Operation: 42-40=2, Resulting Numbers: [29, 2] Generated Node #3: [29, 2] from Operation: 42-40=2 Current State: 58:[29, 2], Operations: ['6+34=40', '42-40=2'] Exploring Operation: 29*2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 14, 21, 93, 69 ]
31
[ "21-14=7", "93-69=24", "7+24=31" ]
Current State: 31:[14, 21, 93, 69], Operations: [] Exploring Operation: 21-14=7, Resulting Numbers: [93, 69, 7] Generated Node #2: [93, 69, 7] from Operation: 21-14=7 Current State: 31:[93, 69, 7], Operations: ['21-14=7'] Exploring Operation: 93-69=24, Resulting Numbers: [7, 24] Generated Node #3: [7, 24] from Operation: 93-69=24 Current State: 31:[7, 24], Operations: ['21-14=7', '93-69=24'] Exploring Operation: 7+24=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 44, 96, 80, 44 ]
72
[ "96-44=52", "80+44=124", "124-52=72" ]
Current State: 72:[44, 96, 80, 44], Operations: [] Exploring Operation: 96-44=52, Resulting Numbers: [80, 52] Generated Node #2: [80, 52] from Operation: 96-44=52 Current State: 72:[80, 52], Operations: ['96-44=52'] Exploring Operation: 80+44=124, Resulting Numbers: [52, 124] Generated Node #3: [52, 124] from Operation: 80+44=124 Current State: 72:[52, 124], Operations: ['96-44=52', '80+44=124'] Exploring Operation: 124-52=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 3, 33, 3, 52 ]
38
[ "33-3=30", "3*30=90", "90-52=38" ]
Current State: 38:[3, 33, 3, 52], Operations: [] Exploring Operation: 33-3=30, Resulting Numbers: [52, 30] Generated Node #2: [52, 30] from Operation: 33-3=30 Current State: 38:[52, 30], Operations: ['33-3=30'] Exploring Operation: 3*30=90, Resulting Numbers: [52, 90] Generated Node #3: [52, 90] from Operation: 3*30=90 Current State: 38:[52, 90], Operations: ['33-3=30', '3*30=90'] Exploring Operation: 90-52=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 78, 26, 3, 1 ]
87
[ "26+1=27", "27/3=9", "78+9=87" ]
Current State: 87:[78, 26, 3, 1], Operations: [] Exploring Operation: 26+1=27, Resulting Numbers: [78, 3, 27] Generated Node #2: [78, 3, 27] from Operation: 26+1=27 Current State: 87:[78, 3, 27], Operations: ['26+1=27'] Exploring Operation: 27/3=9, Resulting Numbers: [78, 9] Generated Node #3: [78, 9] from Operation: 27/3=9 Current State: 87:[78, 9], Operations: ['26+1=27', '27/3=9'] Exploring Operation: 78+9=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 46, 95, 94, 93 ]
71
[ "95-93=2", "46/2=23", "94-23=71" ]
Current State: 71:[46, 95, 94, 93], Operations: [] Exploring Operation: 95-93=2, Resulting Numbers: [46, 94, 2] Generated Node #2: [46, 94, 2] from Operation: 95-93=2 Current State: 71:[46, 94, 2], Operations: ['95-93=2'] Exploring Operation: 46/2=23, Resulting Numbers: [94, 23] Generated Node #3: [94, 23] from Operation: 46/2=23 Current State: 71:[94, 23], Operations: ['95-93=2', '46/2=23'] Exploring Operation: 94-23=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 98, 10, 20, 13 ]
16
[ "98-20=78", "78/13=6", "10+6=16" ]
Current State: 16:[98, 10, 20, 13], Operations: [] Exploring Operation: 98-20=78, Resulting Numbers: [10, 13, 78] Generated Node #2: [10, 13, 78] from Operation: 98-20=78 Current State: 16:[10, 13, 78], Operations: ['98-20=78'] Exploring Operation: 78/13=6, Resulting Numbers: [10, 6] Generated Node #3: [10, 6] from Operation: 78/13=6 Current State: 16:[10, 6], Operations: ['98-20=78', '78/13=6'] Exploring Operation: 10+6=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 76, 80, 67, 18 ]
81
[ "80-76=4", "67+18=85", "85-4=81" ]
Current State: 81:[76, 80, 67, 18], Operations: [] Exploring Operation: 80-76=4, Resulting Numbers: [67, 18, 4] Generated Node #2: [67, 18, 4] from Operation: 80-76=4 Current State: 81:[67, 18, 4], Operations: ['80-76=4'] Exploring Operation: 67+18=85, Resulting Numbers: [4, 85] Generated Node #3: [4, 85] from Operation: 67+18=85 Current State: 81:[4, 85], Operations: ['80-76=4', '67+18=85'] Exploring Operation: 85-4=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 51, 12, 89, 79 ]
69
[ "89-79=10", "12*10=120", "120-51=69" ]
Current State: 69:[51, 12, 89, 79], Operations: [] Exploring Operation: 89-79=10, Resulting Numbers: [51, 12, 10] Generated Node #2: [51, 12, 10] from Operation: 89-79=10 Current State: 69:[51, 12, 10], Operations: ['89-79=10'] Exploring Operation: 12*10=120, Resulting Numbers: [51, 120] Generated Node #3: [51, 120] from Operation: 12*10=120 Current State: 69:[51, 120], Operations: ['89-79=10', '12*10=120'] Exploring Operation: 120-51=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 36, 15, 35, 96 ]
31
[ "96-36=60", "60/15=4", "35-4=31" ]
Current State: 31:[36, 15, 35, 96], Operations: [] Exploring Operation: 96-36=60, Resulting Numbers: [15, 35, 60] Generated Node #2: [15, 35, 60] from Operation: 96-36=60 Current State: 31:[15, 35, 60], Operations: ['96-36=60'] Exploring Operation: 60/15=4, Resulting Numbers: [35, 4] Generated Node #3: [35, 4] from Operation: 60/15=4 Current State: 31:[35, 4], Operations: ['96-36=60', '60/15=4'] Exploring Operation: 35-4=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 72, 66, 24, 22 ]
18
[ "72-66=6", "24/6=4", "22-4=18" ]
Current State: 18:[72, 66, 24, 22], Operations: [] Exploring Operation: 72-66=6, Resulting Numbers: [24, 22, 6] Generated Node #2: [24, 22, 6] from Operation: 72-66=6 Current State: 18:[24, 22, 6], Operations: ['72-66=6'] Exploring Operation: 24/6=4, Resulting Numbers: [22, 4] Generated Node #3: [22, 4] from Operation: 24/6=4 Current State: 18:[22, 4], Operations: ['72-66=6', '24/6=4'] Exploring Operation: 22-4=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 29, 85, 1, 42 ]
98
[ "85-29=56", "1*42=42", "56+42=98" ]
Current State: 98:[29, 85, 1, 42], Operations: [] Exploring Operation: 85-29=56, Resulting Numbers: [1, 42, 56] Generated Node #2: [1, 42, 56] from Operation: 85-29=56 Current State: 98:[1, 42, 56], Operations: ['85-29=56'] Exploring Operation: 1*42=42, Resulting Numbers: [56, 42] Generated Node #3: [56, 42] from Operation: 1*42=42 Current State: 98:[56, 42], Operations: ['85-29=56', '1*42=42'] Exploring Operation: 56+42=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 48, 53, 79, 51 ]
44
[ "51-48=3", "53+79=132", "132/3=44" ]
Current State: 44:[48, 53, 79, 51], Operations: [] Exploring Operation: 51-48=3, Resulting Numbers: [53, 79, 3] Generated Node #2: [53, 79, 3] from Operation: 51-48=3 Current State: 44:[53, 79, 3], Operations: ['51-48=3'] Exploring Operation: 53+79=132, Resulting Numbers: [3, 132] Generated Node #3: [3, 132] from Operation: 53+79=132 Current State: 44:[3, 132], Operations: ['51-48=3', '53+79=132'] Exploring Operation: 132/3=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 1, 17, 14, 39 ]
20
[ "14-1=13", "39/13=3", "17+3=20" ]
Current State: 20:[1, 17, 14, 39], Operations: [] Exploring Operation: 14-1=13, Resulting Numbers: [17, 39, 13] Generated Node #2: [17, 39, 13] from Operation: 14-1=13 Current State: 20:[17, 39, 13], Operations: ['14-1=13'] Exploring Operation: 39/13=3, Resulting Numbers: [17, 3] Generated Node #3: [17, 3] from Operation: 39/13=3 Current State: 20:[17, 3], Operations: ['14-1=13', '39/13=3'] Exploring Operation: 17+3=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4