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
[ 11, 95, 92, 12 ]
69
[ "11+12=23", "95-92=3", "23*3=69" ]
Current State: 69:[11, 95, 92, 12], Operations: [] Exploring Operation: 11+12=23, Resulting Numbers: [95, 92, 23] Generated Node #2: [95, 92, 23] from Operation: 11+12=23 Current State: 69:[95, 92, 23], Operations: ['11+12=23'] Exploring Operation: 95-92=3, Resulting Numbers: [23, 3] Generated Node #3: [23, 3] from Operation: 95-92=3 Current State: 69:[23, 3], Operations: ['11+12=23', '95-92=3'] Exploring Operation: 23*3=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 92, 46, 86, 35 ]
75
[ "92-46=46", "86+35=121", "121-46=75" ]
Current State: 75:[92, 46, 86, 35], Operations: [] Exploring Operation: 92-46=46, Resulting Numbers: [86, 35, 46] Generated Node #2: [86, 35, 46] from Operation: 92-46=46 Current State: 75:[86, 35, 46], Operations: ['92-46=46'] Exploring Operation: 86+35=121, Resulting Numbers: [46, 121] Generated Node #3: [46, 121] from Operation: 86+35=121 Current State: 75:[46, 121], Operations: ['92-46=46', '86+35=121'] Exploring Operation: 121-46=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 30, 27, 88, 82 ]
48
[ "30*88=2640", "82-27=55", "2640/55=48" ]
Current State: 48:[30, 27, 88, 82], Operations: [] Exploring Operation: 30*88=2640, Resulting Numbers: [27, 82, 2640] Generated Node #2: [27, 82, 2640] from Operation: 30*88=2640 Current State: 48:[27, 82, 2640], Operations: ['30*88=2640'] Exploring Operation: 82-27=55, Resulting Numbers: [2640, 55] Generated Node #3: [2640, 55] from Operation: 82-27=55 Current State: 48:[2640, 55], Operations: ['30*88=2640', '82-27=55'] Exploring Operation: 2640/55=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 84, 75, 66, 49 ]
98
[ "84+66=150", "150/75=2", "49*2=98" ]
Current State: 98:[84, 75, 66, 49], Operations: [] Exploring Operation: 84+66=150, Resulting Numbers: [75, 49, 150] Generated Node #2: [75, 49, 150] from Operation: 84+66=150 Current State: 98:[75, 49, 150], Operations: ['84+66=150'] Exploring Operation: 150/75=2, Resulting Numbers: [49, 2] Generated Node #3: [49, 2] from Operation: 150/75=2 Current State: 98:[49, 2], Operations: ['84+66=150', '150/75=2'] Exploring Operation: 49*2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 82, 53, 7, 94 ]
58
[ "82-53=29", "94-7=87", "87-29=58" ]
Current State: 58:[82, 53, 7, 94], Operations: [] Exploring Operation: 82-53=29, Resulting Numbers: [7, 94, 29] Generated Node #2: [7, 94, 29] from Operation: 82-53=29 Current State: 58:[7, 94, 29], Operations: ['82-53=29'] Exploring Operation: 94-7=87, Resulting Numbers: [29, 87] Generated Node #3: [29, 87] from Operation: 94-7=87 Current State: 58:[29, 87], Operations: ['82-53=29', '94-7=87'] Exploring Operation: 87-29=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 25, 21, 64, 66 ]
17
[ "66-64=2", "21*2=42", "42-25=17" ]
Current State: 17:[25, 21, 64, 66], Operations: [] Exploring Operation: 66-64=2, Resulting Numbers: [25, 21, 2] Generated Node #2: [25, 21, 2] from Operation: 66-64=2 Current State: 17:[25, 21, 2], Operations: ['66-64=2'] Exploring Operation: 21*2=42, Resulting Numbers: [25, 42] Generated Node #3: [25, 42] from Operation: 21*2=42 Current State: 17:[25, 42], Operations: ['66-64=2', '21*2=42'] Exploring Operation: 42-25=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 26, 68, 6, 23 ]
13
[ "68-26=42", "6+23=29", "42-29=13" ]
Current State: 13:[26, 68, 6, 23], Operations: [] Exploring Operation: 68-26=42, Resulting Numbers: [6, 23, 42] Generated Node #2: [6, 23, 42] from Operation: 68-26=42 Current State: 13:[6, 23, 42], Operations: ['68-26=42'] Exploring Operation: 6+23=29, Resulting Numbers: [42, 29] Generated Node #3: [42, 29] from Operation: 6+23=29 Current State: 13:[42, 29], Operations: ['68-26=42', '6+23=29'] Exploring Operation: 42-29=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 5, 11, 61, 20 ]
50
[ "5*20=100", "61-11=50", "100-50=50" ]
Current State: 50:[5, 11, 61, 20], Operations: [] Exploring Operation: 5*20=100, Resulting Numbers: [11, 61, 100] Generated Node #2: [11, 61, 100] from Operation: 5*20=100 Current State: 50:[11, 61, 100], Operations: ['5*20=100'] Exploring Operation: 61-11=50, Resulting Numbers: [100, 50] Generated Node #3: [100, 50] from Operation: 61-11=50 Current State: 50:[100, 50], Operations: ['5*20=100', '61-11=50'] Exploring Operation: 100-50=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 64, 74, 58, 82 ]
34
[ "74-64=10", "82-58=24", "10+24=34" ]
Current State: 34:[64, 74, 58, 82], Operations: [] Exploring Operation: 74-64=10, Resulting Numbers: [58, 82, 10] Generated Node #2: [58, 82, 10] from Operation: 74-64=10 Current State: 34:[58, 82, 10], Operations: ['74-64=10'] Exploring Operation: 82-58=24, Resulting Numbers: [10, 24] Generated Node #3: [10, 24] from Operation: 82-58=24 Current State: 34:[10, 24], Operations: ['74-64=10', '82-58=24'] Exploring Operation: 10+24=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 47, 55, 67, 36 ]
23
[ "55-47=8", "67-36=31", "31-8=23" ]
Current State: 23:[47, 55, 67, 36], Operations: [] Exploring Operation: 55-47=8, Resulting Numbers: [67, 36, 8] Generated Node #2: [67, 36, 8] from Operation: 55-47=8 Current State: 23:[67, 36, 8], Operations: ['55-47=8'] Exploring Operation: 67-36=31, Resulting Numbers: [8, 31] Generated Node #3: [8, 31] from Operation: 67-36=31 Current State: 23:[8, 31], Operations: ['55-47=8', '67-36=31'] Exploring Operation: 31-8=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 9, 27, 57, 69 ]
90
[ "9+27=36", "57+69=126", "126-36=90" ]
Current State: 90:[9, 27, 57, 69], Operations: [] Exploring Operation: 9+27=36, Resulting Numbers: [57, 69, 36] Generated Node #2: [57, 69, 36] from Operation: 9+27=36 Current State: 90:[57, 69, 36], Operations: ['9+27=36'] Exploring Operation: 57+69=126, Resulting Numbers: [36, 126] Generated Node #3: [36, 126] from Operation: 57+69=126 Current State: 90:[36, 126], Operations: ['9+27=36', '57+69=126'] Exploring Operation: 126-36=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 24, 69, 9, 12 ]
61
[ "12-9=3", "24/3=8", "69-8=61" ]
Current State: 61:[24, 69, 9, 12], Operations: [] Exploring Operation: 12-9=3, Resulting Numbers: [24, 69, 3] Generated Node #2: [24, 69, 3] from Operation: 12-9=3 Current State: 61:[24, 69, 3], Operations: ['12-9=3'] Exploring Operation: 24/3=8, Resulting Numbers: [69, 8] Generated Node #3: [69, 8] from Operation: 24/3=8 Current State: 61:[69, 8], Operations: ['12-9=3', '24/3=8'] Exploring Operation: 69-8=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 82, 40, 3, 64 ]
34
[ "82-64=18", "18/3=6", "40-6=34" ]
Current State: 34:[82, 40, 3, 64], Operations: [] Exploring Operation: 82-64=18, Resulting Numbers: [40, 3, 18] Generated Node #2: [40, 3, 18] from Operation: 82-64=18 Current State: 34:[40, 3, 18], Operations: ['82-64=18'] Exploring Operation: 18/3=6, Resulting Numbers: [40, 6] Generated Node #3: [40, 6] from Operation: 18/3=6 Current State: 34:[40, 6], Operations: ['82-64=18', '18/3=6'] Exploring Operation: 40-6=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 63, 25, 30, 85 ]
17
[ "63-25=38", "85-30=55", "55-38=17" ]
Current State: 17:[63, 25, 30, 85], Operations: [] Exploring Operation: 63-25=38, Resulting Numbers: [30, 85, 38] Generated Node #2: [30, 85, 38] from Operation: 63-25=38 Current State: 17:[30, 85, 38], Operations: ['63-25=38'] Exploring Operation: 85-30=55, Resulting Numbers: [38, 55] Generated Node #3: [38, 55] from Operation: 85-30=55 Current State: 17:[38, 55], Operations: ['63-25=38', '85-30=55'] Exploring Operation: 55-38=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 56, 6, 89, 87 ]
97
[ "87-56=31", "6*31=186", "186-89=97" ]
Current State: 97:[56, 6, 89, 87], Operations: [] Exploring Operation: 87-56=31, Resulting Numbers: [6, 89, 31] Generated Node #2: [6, 89, 31] from Operation: 87-56=31 Current State: 97:[6, 89, 31], Operations: ['87-56=31'] Exploring Operation: 6*31=186, Resulting Numbers: [89, 186] Generated Node #3: [89, 186] from Operation: 6*31=186 Current State: 97:[89, 186], Operations: ['87-56=31', '6*31=186'] Exploring Operation: 186-89=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 3, 82, 12, 33 ]
100
[ "82-3=79", "33-12=21", "79+21=100" ]
Current State: 100:[3, 82, 12, 33], Operations: [] Exploring Operation: 82-3=79, Resulting Numbers: [12, 33, 79] Generated Node #2: [12, 33, 79] from Operation: 82-3=79 Current State: 100:[12, 33, 79], Operations: ['82-3=79'] Exploring Operation: 33-12=21, Resulting Numbers: [79, 21] Generated Node #3: [79, 21] from Operation: 33-12=21 Current State: 100:[79, 21], Operations: ['82-3=79', '33-12=21'] Exploring Operation: 79+21=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 42, 84, 28, 44 ]
90
[ "84/28=3", "44*3=132", "132-42=90" ]
Current State: 90:[42, 84, 28, 44], Operations: [] Exploring Operation: 84/28=3, Resulting Numbers: [42, 44, 3] Generated Node #2: [42, 44, 3] from Operation: 84/28=3 Current State: 90:[42, 44, 3], Operations: ['84/28=3'] Exploring Operation: 44*3=132, Resulting Numbers: [42, 132] Generated Node #3: [42, 132] from Operation: 44*3=132 Current State: 90:[42, 132], Operations: ['84/28=3', '44*3=132'] Exploring Operation: 132-42=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 25, 72, 69, 69 ]
46
[ "72-25=47", "69/69=1", "47-1=46" ]
Current State: 46:[25, 72, 69, 69], Operations: [] Exploring Operation: 72-25=47, Resulting Numbers: [69, 69, 47] Generated Node #2: [69, 69, 47] from Operation: 72-25=47 Current State: 46:[69, 69, 47], Operations: ['72-25=47'] Exploring Operation: 69/69=1, Resulting Numbers: [47, 1] Generated Node #3: [47, 1] from Operation: 69/69=1 Current State: 46:[47, 1], Operations: ['72-25=47', '69/69=1'] Exploring Operation: 47-1=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 35, 38, 11, 7 ]
40
[ "38-35=3", "11*3=33", "7+33=40" ]
Current State: 40:[35, 38, 11, 7], Operations: [] Exploring Operation: 38-35=3, Resulting Numbers: [11, 7, 3] Generated Node #2: [11, 7, 3] from Operation: 38-35=3 Current State: 40:[11, 7, 3], Operations: ['38-35=3'] Exploring Operation: 11*3=33, Resulting Numbers: [7, 33] Generated Node #3: [7, 33] from Operation: 11*3=33 Current State: 40:[7, 33], Operations: ['38-35=3', '11*3=33'] Exploring Operation: 7+33=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 95, 29, 25, 55 ]
30
[ "95-29=66", "25*66=1650", "1650/55=30" ]
Current State: 30:[95, 29, 25, 55], Operations: [] Exploring Operation: 95-29=66, Resulting Numbers: [25, 55, 66] Generated Node #2: [25, 55, 66] from Operation: 95-29=66 Current State: 30:[25, 55, 66], Operations: ['95-29=66'] Exploring Operation: 25*66=1650, Resulting Numbers: [55, 1650] Generated Node #3: [55, 1650] from Operation: 25*66=1650 Current State: 30:[55, 1650], Operations: ['95-29=66', '25*66=1650'] Exploring Operation: 1650/55=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 1, 75, 82, 74 ]
66
[ "75-1=74", "82-74=8", "74-8=66" ]
Current State: 66:[1, 75, 82, 74], Operations: [] Exploring Operation: 75-1=74, Resulting Numbers: [82, 74, 74] Generated Node #2: [82, 74, 74] from Operation: 75-1=74 Current State: 66:[82, 74, 74], Operations: ['75-1=74'] Exploring Operation: 82-74=8, Resulting Numbers: [8] 8,66 equal: Goal Reached Exploring Operation: 74-8=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 33, 14, 21, 38 ]
36
[ "33-14=19", "38-21=17", "19+17=36" ]
Current State: 36:[33, 14, 21, 38], Operations: [] Exploring Operation: 33-14=19, Resulting Numbers: [21, 38, 19] Generated Node #2: [21, 38, 19] from Operation: 33-14=19 Current State: 36:[21, 38, 19], Operations: ['33-14=19'] Exploring Operation: 38-21=17, Resulting Numbers: [19, 17] Generated Node #3: [19, 17] from Operation: 38-21=17 Current State: 36:[19, 17], Operations: ['33-14=19', '38-21=17'] Exploring Operation: 19+17=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 68, 32, 26, 30 ]
16
[ "32-30=2", "26*2=52", "68-52=16" ]
Current State: 16:[68, 32, 26, 30], Operations: [] Exploring Operation: 32-30=2, Resulting Numbers: [68, 26, 2] Generated Node #2: [68, 26, 2] from Operation: 32-30=2 Current State: 16:[68, 26, 2], Operations: ['32-30=2'] Exploring Operation: 26*2=52, Resulting Numbers: [68, 52] Generated Node #3: [68, 52] from Operation: 26*2=52 Current State: 16:[68, 52], Operations: ['32-30=2', '26*2=52'] Exploring Operation: 68-52=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 58, 16, 14, 86 ]
83
[ "58-16=42", "42/14=3", "86-3=83" ]
Current State: 83:[58, 16, 14, 86], Operations: [] Exploring Operation: 58-16=42, Resulting Numbers: [14, 86, 42] Generated Node #2: [14, 86, 42] from Operation: 58-16=42 Current State: 83:[14, 86, 42], Operations: ['58-16=42'] Exploring Operation: 42/14=3, Resulting Numbers: [86, 3] Generated Node #3: [86, 3] from Operation: 42/14=3 Current State: 83:[86, 3], Operations: ['58-16=42', '42/14=3'] Exploring Operation: 86-3=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 44, 22, 43, 23 ]
33
[ "44/22=2", "43+23=66", "66/2=33" ]
Current State: 33:[44, 22, 43, 23], Operations: [] Exploring Operation: 44/22=2, Resulting Numbers: [43, 23, 2] Generated Node #2: [43, 23, 2] from Operation: 44/22=2 Current State: 33:[43, 23, 2], Operations: ['44/22=2'] Exploring Operation: 43+23=66, Resulting Numbers: [2, 66] Generated Node #3: [2, 66] from Operation: 43+23=66 Current State: 33:[2, 66], Operations: ['44/22=2', '43+23=66'] Exploring Operation: 66/2=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 19, 46, 18, 35 ]
43
[ "19+35=54", "54/18=3", "46-3=43" ]
Current State: 43:[19, 46, 18, 35], Operations: [] Exploring Operation: 19+35=54, Resulting Numbers: [46, 18, 54] Generated Node #2: [46, 18, 54] from Operation: 19+35=54 Current State: 43:[46, 18, 54], Operations: ['19+35=54'] Exploring Operation: 54/18=3, Resulting Numbers: [46, 3] Generated Node #3: [46, 3] from Operation: 54/18=3 Current State: 43:[46, 3], Operations: ['19+35=54', '54/18=3'] Exploring Operation: 46-3=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 87, 88, 82, 13 ]
96
[ "88-87=1", "82+13=95", "1+95=96" ]
Current State: 96:[87, 88, 82, 13], Operations: [] Exploring Operation: 88-87=1, Resulting Numbers: [82, 13, 1] Generated Node #2: [82, 13, 1] from Operation: 88-87=1 Current State: 96:[82, 13, 1], Operations: ['88-87=1'] Exploring Operation: 82+13=95, Resulting Numbers: [1, 95] Generated Node #3: [1, 95] from Operation: 82+13=95 Current State: 96:[1, 95], Operations: ['88-87=1', '82+13=95'] Exploring Operation: 1+95=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 52, 56, 1, 14 ]
13
[ "52*1=52", "56/14=4", "52/4=13" ]
Current State: 13:[52, 56, 1, 14], Operations: [] Exploring Operation: 52*1=52, Resulting Numbers: [56, 14, 52] Generated Node #2: [56, 14, 52] from Operation: 52*1=52 Current State: 13:[56, 14, 52], Operations: ['52*1=52'] Exploring Operation: 56/14=4, Resulting Numbers: [52, 4] Generated Node #3: [52, 4] from Operation: 56/14=4 Current State: 13:[52, 4], Operations: ['52*1=52', '56/14=4'] Exploring Operation: 52/4=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 7, 32, 19, 5 ]
34
[ "19-5=14", "14/7=2", "32+2=34" ]
Current State: 34:[7, 32, 19, 5], Operations: [] Exploring Operation: 19-5=14, Resulting Numbers: [7, 32, 14] Generated Node #2: [7, 32, 14] from Operation: 19-5=14 Current State: 34:[7, 32, 14], Operations: ['19-5=14'] Exploring Operation: 14/7=2, Resulting Numbers: [32, 2] Generated Node #3: [32, 2] from Operation: 14/7=2 Current State: 34:[32, 2], Operations: ['19-5=14', '14/7=2'] Exploring Operation: 32+2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 3, 83, 20, 76 ]
73
[ "83+76=159", "159/3=53", "20+53=73" ]
Current State: 73:[3, 83, 20, 76], Operations: [] Exploring Operation: 83+76=159, Resulting Numbers: [3, 20, 159] Generated Node #2: [3, 20, 159] from Operation: 83+76=159 Current State: 73:[3, 20, 159], Operations: ['83+76=159'] Exploring Operation: 159/3=53, Resulting Numbers: [20, 53] Generated Node #3: [20, 53] from Operation: 159/3=53 Current State: 73:[20, 53], Operations: ['83+76=159', '159/3=53'] Exploring Operation: 20+53=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 36, 22, 9, 15 ]
34
[ "36+22=58", "9+15=24", "58-24=34" ]
Current State: 34:[36, 22, 9, 15], Operations: [] Exploring Operation: 36+22=58, Resulting Numbers: [9, 15, 58] Generated Node #2: [9, 15, 58] from Operation: 36+22=58 Current State: 34:[9, 15, 58], Operations: ['36+22=58'] Exploring Operation: 9+15=24, Resulting Numbers: [58, 24] Generated Node #3: [58, 24] from Operation: 9+15=24 Current State: 34:[58, 24], Operations: ['36+22=58', '9+15=24'] Exploring Operation: 58-24=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 54, 19, 9, 11 ]
53
[ "54+19=73", "9+11=20", "73-20=53" ]
Current State: 53:[54, 19, 9, 11], Operations: [] Exploring Operation: 54+19=73, Resulting Numbers: [9, 11, 73] Generated Node #2: [9, 11, 73] from Operation: 54+19=73 Current State: 53:[9, 11, 73], Operations: ['54+19=73'] Exploring Operation: 9+11=20, Resulting Numbers: [73, 20] Generated Node #3: [73, 20] from Operation: 9+11=20 Current State: 53:[73, 20], Operations: ['54+19=73', '9+11=20'] Exploring Operation: 73-20=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 40, 62, 50, 42 ]
87
[ "42-40=2", "50/2=25", "62+25=87" ]
Current State: 87:[40, 62, 50, 42], Operations: [] Exploring Operation: 42-40=2, Resulting Numbers: [62, 50, 2] Generated Node #2: [62, 50, 2] from Operation: 42-40=2 Current State: 87:[62, 50, 2], Operations: ['42-40=2'] Exploring Operation: 50/2=25, Resulting Numbers: [62, 25] Generated Node #3: [62, 25] from Operation: 50/2=25 Current State: 87:[62, 25], Operations: ['42-40=2', '50/2=25'] Exploring Operation: 62+25=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 23, 39, 49, 2 ]
81
[ "39-23=16", "2*16=32", "49+32=81" ]
Current State: 81:[23, 39, 49, 2], Operations: [] Exploring Operation: 39-23=16, Resulting Numbers: [49, 2, 16] Generated Node #2: [49, 2, 16] from Operation: 39-23=16 Current State: 81:[49, 2, 16], Operations: ['39-23=16'] Exploring Operation: 2*16=32, Resulting Numbers: [49, 32] Generated Node #3: [49, 32] from Operation: 2*16=32 Current State: 81:[49, 32], Operations: ['39-23=16', '2*16=32'] Exploring Operation: 49+32=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 24, 66, 17, 13 ]
46
[ "66-24=42", "17-13=4", "42+4=46" ]
Current State: 46:[24, 66, 17, 13], Operations: [] Exploring Operation: 66-24=42, Resulting Numbers: [17, 13, 42] Generated Node #2: [17, 13, 42] from Operation: 66-24=42 Current State: 46:[17, 13, 42], Operations: ['66-24=42'] Exploring Operation: 17-13=4, Resulting Numbers: [42, 4] Generated Node #3: [42, 4] from Operation: 17-13=4 Current State: 46:[42, 4], Operations: ['66-24=42', '17-13=4'] Exploring Operation: 42+4=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 4, 19, 33, 49 ]
60
[ "4*19=76", "49-33=16", "76-16=60" ]
Current State: 60:[4, 19, 33, 49], Operations: [] Exploring Operation: 4*19=76, Resulting Numbers: [33, 49, 76] Generated Node #2: [33, 49, 76] from Operation: 4*19=76 Current State: 60:[33, 49, 76], Operations: ['4*19=76'] Exploring Operation: 49-33=16, Resulting Numbers: [76, 16] Generated Node #3: [76, 16] from Operation: 49-33=16 Current State: 60:[76, 16], Operations: ['4*19=76', '49-33=16'] Exploring Operation: 76-16=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 78, 64, 3, 97 ]
17
[ "78+97=175", "64*3=192", "192-175=17" ]
Current State: 17:[78, 64, 3, 97], Operations: [] Exploring Operation: 78+97=175, Resulting Numbers: [64, 3, 175] Generated Node #2: [64, 3, 175] from Operation: 78+97=175 Current State: 17:[64, 3, 175], Operations: ['78+97=175'] Exploring Operation: 64*3=192, Resulting Numbers: [175, 192] Generated Node #3: [175, 192] from Operation: 64*3=192 Current State: 17:[175, 192], Operations: ['78+97=175', '64*3=192'] Exploring Operation: 192-175=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 12, 79, 63, 10 ]
34
[ "12*63=756", "79*10=790", "790-756=34" ]
Current State: 34:[12, 79, 63, 10], Operations: [] Exploring Operation: 12*63=756, Resulting Numbers: [79, 10, 756] Generated Node #2: [79, 10, 756] from Operation: 12*63=756 Current State: 34:[79, 10, 756], Operations: ['12*63=756'] Exploring Operation: 79*10=790, Resulting Numbers: [756, 790] Generated Node #3: [756, 790] from Operation: 79*10=790 Current State: 34:[756, 790], Operations: ['12*63=756', '79*10=790'] Exploring Operation: 790-756=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 78, 28, 7, 89 ]
29
[ "78+89=167", "28*7=196", "196-167=29" ]
Current State: 29:[78, 28, 7, 89], Operations: [] Exploring Operation: 78+89=167, Resulting Numbers: [28, 7, 167] Generated Node #2: [28, 7, 167] from Operation: 78+89=167 Current State: 29:[28, 7, 167], Operations: ['78+89=167'] Exploring Operation: 28*7=196, Resulting Numbers: [167, 196] Generated Node #3: [167, 196] from Operation: 28*7=196 Current State: 29:[167, 196], Operations: ['78+89=167', '28*7=196'] Exploring Operation: 196-167=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 66, 9, 6, 24 ]
20
[ "66*6=396", "396/9=44", "44-24=20" ]
Current State: 20:[66, 9, 6, 24], Operations: [] Exploring Operation: 66*6=396, Resulting Numbers: [9, 24, 396] Generated Node #2: [9, 24, 396] from Operation: 66*6=396 Current State: 20:[9, 24, 396], Operations: ['66*6=396'] Exploring Operation: 396/9=44, Resulting Numbers: [24, 44] Generated Node #3: [24, 44] from Operation: 396/9=44 Current State: 20:[24, 44], Operations: ['66*6=396', '396/9=44'] Exploring Operation: 44-24=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 7, 54, 32, 78 ]
92
[ "7*32=224", "54+78=132", "224-132=92" ]
Current State: 92:[7, 54, 32, 78], Operations: [] Exploring Operation: 7*32=224, Resulting Numbers: [54, 78, 224] Generated Node #2: [54, 78, 224] from Operation: 7*32=224 Current State: 92:[54, 78, 224], Operations: ['7*32=224'] Exploring Operation: 54+78=132, Resulting Numbers: [224, 132] Generated Node #3: [224, 132] from Operation: 54+78=132 Current State: 92:[224, 132], Operations: ['7*32=224', '54+78=132'] Exploring Operation: 224-132=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 52, 69, 12, 13 ]
35
[ "52+69=121", "12*13=156", "156-121=35" ]
Current State: 35:[52, 69, 12, 13], Operations: [] Exploring Operation: 52+69=121, Resulting Numbers: [12, 13, 121] Generated Node #2: [12, 13, 121] from Operation: 52+69=121 Current State: 35:[12, 13, 121], Operations: ['52+69=121'] Exploring Operation: 12*13=156, Resulting Numbers: [121, 156] Generated Node #3: [121, 156] from Operation: 12*13=156 Current State: 35:[121, 156], Operations: ['52+69=121', '12*13=156'] Exploring Operation: 156-121=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 64, 42, 19, 21 ]
32
[ "42-19=23", "23-21=2", "64/2=32" ]
Current State: 32:[64, 42, 19, 21], Operations: [] Exploring Operation: 42-19=23, Resulting Numbers: [64, 21, 23] Generated Node #2: [64, 21, 23] from Operation: 42-19=23 Current State: 32:[64, 21, 23], Operations: ['42-19=23'] Exploring Operation: 23-21=2, Resulting Numbers: [64, 2] Generated Node #3: [64, 2] from Operation: 23-21=2 Current State: 32:[64, 2], Operations: ['42-19=23', '23-21=2'] Exploring Operation: 64/2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 62, 58, 74, 16 ]
70
[ "62-58=4", "16/4=4", "74-4=70" ]
Current State: 70:[62, 58, 74, 16], Operations: [] Exploring Operation: 62-58=4, Resulting Numbers: [74, 16, 4] Generated Node #2: [74, 16, 4] from Operation: 62-58=4 Current State: 70:[74, 16, 4], Operations: ['62-58=4'] Exploring Operation: 16/4=4, Resulting Numbers: [74, 4] Generated Node #3: [74, 4] from Operation: 16/4=4 Current State: 70:[74, 4], Operations: ['62-58=4', '16/4=4'] Exploring Operation: 74-4=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 74, 31, 29, 32 ]
84
[ "74-32=42", "31-29=2", "42*2=84" ]
Current State: 84:[74, 31, 29, 32], Operations: [] Exploring Operation: 74-32=42, Resulting Numbers: [31, 29, 42] Generated Node #2: [31, 29, 42] from Operation: 74-32=42 Current State: 84:[31, 29, 42], Operations: ['74-32=42'] Exploring Operation: 31-29=2, Resulting Numbers: [42, 2] Generated Node #3: [42, 2] from Operation: 31-29=2 Current State: 84:[42, 2], Operations: ['74-32=42', '31-29=2'] Exploring Operation: 42*2=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 38, 18, 52, 5 ]
20
[ "38+18=56", "56-52=4", "5*4=20" ]
Current State: 20:[38, 18, 52, 5], Operations: [] Exploring Operation: 38+18=56, Resulting Numbers: [52, 5, 56] Generated Node #2: [52, 5, 56] from Operation: 38+18=56 Current State: 20:[52, 5, 56], Operations: ['38+18=56'] Exploring Operation: 56-52=4, Resulting Numbers: [5, 4] Generated Node #3: [5, 4] from Operation: 56-52=4 Current State: 20:[5, 4], Operations: ['38+18=56', '56-52=4'] Exploring Operation: 5*4=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 80, 46, 13, 42 ]
71
[ "80+46=126", "13+42=55", "126-55=71" ]
Current State: 71:[80, 46, 13, 42], Operations: [] Exploring Operation: 80+46=126, Resulting Numbers: [13, 42, 126] Generated Node #2: [13, 42, 126] from Operation: 80+46=126 Current State: 71:[13, 42, 126], Operations: ['80+46=126'] Exploring Operation: 13+42=55, Resulting Numbers: [126, 55] Generated Node #3: [126, 55] from Operation: 13+42=55 Current State: 71:[126, 55], Operations: ['80+46=126', '13+42=55'] Exploring Operation: 126-55=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 69, 27, 56, 9 ]
79
[ "69*9=621", "621/27=23", "56+23=79" ]
Current State: 79:[69, 27, 56, 9], Operations: [] Exploring Operation: 69*9=621, Resulting Numbers: [27, 56, 621] Generated Node #2: [27, 56, 621] from Operation: 69*9=621 Current State: 79:[27, 56, 621], Operations: ['69*9=621'] Exploring Operation: 621/27=23, Resulting Numbers: [56, 23] Generated Node #3: [56, 23] from Operation: 621/27=23 Current State: 79:[56, 23], Operations: ['69*9=621', '621/27=23'] Exploring Operation: 56+23=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 20, 77, 71, 70 ]
15
[ "20+70=90", "77-71=6", "90/6=15" ]
Current State: 15:[20, 77, 71, 70], Operations: [] Exploring Operation: 20+70=90, Resulting Numbers: [77, 71, 90] Generated Node #2: [77, 71, 90] from Operation: 20+70=90 Current State: 15:[77, 71, 90], Operations: ['20+70=90'] Exploring Operation: 77-71=6, Resulting Numbers: [90, 6] Generated Node #3: [90, 6] from Operation: 77-71=6 Current State: 15:[90, 6], Operations: ['20+70=90', '77-71=6'] Exploring Operation: 90/6=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 56, 28, 40, 16 ]
22
[ "56/28=2", "40-16=24", "24-2=22" ]
Current State: 22:[56, 28, 40, 16], Operations: [] Exploring Operation: 56/28=2, Resulting Numbers: [40, 16, 2] Generated Node #2: [40, 16, 2] from Operation: 56/28=2 Current State: 22:[40, 16, 2], Operations: ['56/28=2'] Exploring Operation: 40-16=24, Resulting Numbers: [2, 24] Generated Node #3: [2, 24] from Operation: 40-16=24 Current State: 22:[2, 24], Operations: ['56/28=2', '40-16=24'] Exploring Operation: 24-2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 98, 48, 24, 12 ]
24
[ "98*12=1176", "48*24=1152", "1176-1152=24" ]
Current State: 24:[98, 48, 24, 12], Operations: [] Exploring Operation: 98*12=1176, Resulting Numbers: [48, 24, 1176] Generated Node #2: [48, 24, 1176] from Operation: 98*12=1176 Current State: 24:[48, 24, 1176], Operations: ['98*12=1176'] Exploring Operation: 48*24=1152, Resulting Numbers: [1176, 1152] Generated Node #3: [1176, 1152] from Operation: 48*24=1152 Current State: 24:[1176, 1152], Operations: ['98*12=1176', '48*24=1152'] Exploring Operation: 1176-1152=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 15, 49, 18, 25 ]
19
[ "18*25=450", "450/15=30", "49-30=19" ]
Current State: 19:[15, 49, 18, 25], Operations: [] Exploring Operation: 18*25=450, Resulting Numbers: [15, 49, 450] Generated Node #2: [15, 49, 450] from Operation: 18*25=450 Current State: 19:[15, 49, 450], Operations: ['18*25=450'] Exploring Operation: 450/15=30, Resulting Numbers: [49, 30] Generated Node #3: [49, 30] from Operation: 450/15=30 Current State: 19:[49, 30], Operations: ['18*25=450', '450/15=30'] Exploring Operation: 49-30=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 46, 63, 55, 53 ]
17
[ "46*63=2898", "55*53=2915", "2915-2898=17" ]
Current State: 17:[46, 63, 55, 53], Operations: [] Exploring Operation: 46*63=2898, Resulting Numbers: [55, 53, 2898] Generated Node #2: [55, 53, 2898] from Operation: 46*63=2898 Current State: 17:[55, 53, 2898], Operations: ['46*63=2898'] Exploring Operation: 55*53=2915, Resulting Numbers: [2898, 2915] Generated Node #3: [2898, 2915] from Operation: 55*53=2915 Current State: 17:[2898, 2915], Operations: ['46*63=2898', '55*53=2915'] Exploring Operation: 2915-2898=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 47, 13, 77, 66 ]
71
[ "47+13=60", "77-66=11", "60+11=71" ]
Current State: 71:[47, 13, 77, 66], Operations: [] Exploring Operation: 47+13=60, Resulting Numbers: [77, 66, 60] Generated Node #2: [77, 66, 60] from Operation: 47+13=60 Current State: 71:[77, 66, 60], Operations: ['47+13=60'] Exploring Operation: 77-66=11, Resulting Numbers: [60, 11] Generated Node #3: [60, 11] from Operation: 77-66=11 Current State: 71:[60, 11], Operations: ['47+13=60', '77-66=11'] Exploring Operation: 60+11=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 31, 97, 84, 26 ]
82
[ "31*84=2604", "97*26=2522", "2604-2522=82" ]
Current State: 82:[31, 97, 84, 26], Operations: [] Exploring Operation: 31*84=2604, Resulting Numbers: [97, 26, 2604] Generated Node #2: [97, 26, 2604] from Operation: 31*84=2604 Current State: 82:[97, 26, 2604], Operations: ['31*84=2604'] Exploring Operation: 97*26=2522, Resulting Numbers: [2604, 2522] Generated Node #3: [2604, 2522] from Operation: 97*26=2522 Current State: 82:[2604, 2522], Operations: ['31*84=2604', '97*26=2522'] Exploring Operation: 2604-2522=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 98, 49, 99, 60 ]
89
[ "60-49=11", "99/11=9", "98-9=89" ]
Current State: 89:[98, 49, 99, 60], Operations: [] Exploring Operation: 60-49=11, Resulting Numbers: [98, 99, 11] Generated Node #2: [98, 99, 11] from Operation: 60-49=11 Current State: 89:[98, 99, 11], Operations: ['60-49=11'] Exploring Operation: 99/11=9, Resulting Numbers: [98, 9] Generated Node #3: [98, 9] from Operation: 99/11=9 Current State: 89:[98, 9], Operations: ['60-49=11', '99/11=9'] Exploring Operation: 98-9=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 7, 8, 88, 2 ]
15
[ "88/8=11", "2*11=22", "22-7=15" ]
Current State: 15:[7, 8, 88, 2], Operations: [] Exploring Operation: 88/8=11, Resulting Numbers: [7, 2, 11] Generated Node #2: [7, 2, 11] from Operation: 88/8=11 Current State: 15:[7, 2, 11], Operations: ['88/8=11'] Exploring Operation: 2*11=22, Resulting Numbers: [7, 22] Generated Node #3: [7, 22] from Operation: 2*11=22 Current State: 15:[7, 22], Operations: ['88/8=11', '2*11=22'] Exploring Operation: 22-7=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 66, 70, 23, 31 ]
69
[ "70+23=93", "93/31=3", "66+3=69" ]
Current State: 69:[66, 70, 23, 31], Operations: [] Exploring Operation: 70+23=93, Resulting Numbers: [66, 31, 93] Generated Node #2: [66, 31, 93] from Operation: 70+23=93 Current State: 69:[66, 31, 93], Operations: ['70+23=93'] Exploring Operation: 93/31=3, Resulting Numbers: [66, 3] Generated Node #3: [66, 3] from Operation: 93/31=3 Current State: 69:[66, 3], Operations: ['70+23=93', '93/31=3'] Exploring Operation: 66+3=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 66, 49, 24, 44 ]
95
[ "66+49=115", "44-24=20", "115-20=95" ]
Current State: 95:[66, 49, 24, 44], Operations: [] Exploring Operation: 66+49=115, Resulting Numbers: [24, 44, 115] Generated Node #2: [24, 44, 115] from Operation: 66+49=115 Current State: 95:[24, 44, 115], Operations: ['66+49=115'] Exploring Operation: 44-24=20, Resulting Numbers: [115, 20] Generated Node #3: [115, 20] from Operation: 44-24=20 Current State: 95:[115, 20], Operations: ['66+49=115', '44-24=20'] Exploring Operation: 115-20=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 2, 98, 45, 69 ]
25
[ "98/2=49", "69-45=24", "49-24=25" ]
Current State: 25:[2, 98, 45, 69], Operations: [] Exploring Operation: 98/2=49, Resulting Numbers: [45, 69, 49] Generated Node #2: [45, 69, 49] from Operation: 98/2=49 Current State: 25:[45, 69, 49], Operations: ['98/2=49'] Exploring Operation: 69-45=24, Resulting Numbers: [49, 24] Generated Node #3: [49, 24] from Operation: 69-45=24 Current State: 25:[49, 24], Operations: ['98/2=49', '69-45=24'] Exploring Operation: 49-24=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 4, 83, 29, 35 ]
73
[ "83-4=79", "35-29=6", "79-6=73" ]
Current State: 73:[4, 83, 29, 35], Operations: [] Exploring Operation: 83-4=79, Resulting Numbers: [29, 35, 79] Generated Node #2: [29, 35, 79] from Operation: 83-4=79 Current State: 73:[29, 35, 79], Operations: ['83-4=79'] Exploring Operation: 35-29=6, Resulting Numbers: [79, 6] Generated Node #3: [79, 6] from Operation: 35-29=6 Current State: 73:[79, 6], Operations: ['83-4=79', '35-29=6'] Exploring Operation: 79-6=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 29, 51, 76, 92 ]
64
[ "29+51=80", "92-76=16", "80-16=64" ]
Current State: 64:[29, 51, 76, 92], Operations: [] Exploring Operation: 29+51=80, Resulting Numbers: [76, 92, 80] Generated Node #2: [76, 92, 80] from Operation: 29+51=80 Current State: 64:[76, 92, 80], Operations: ['29+51=80'] Exploring Operation: 92-76=16, Resulting Numbers: [80, 16] Generated Node #3: [80, 16] from Operation: 92-76=16 Current State: 64:[80, 16], Operations: ['29+51=80', '92-76=16'] Exploring Operation: 80-16=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 71, 49, 14, 62 ]
77
[ "71-62=9", "14*9=126", "126-49=77" ]
Current State: 77:[71, 49, 14, 62], Operations: [] Exploring Operation: 71-62=9, Resulting Numbers: [49, 14, 9] Generated Node #2: [49, 14, 9] from Operation: 71-62=9 Current State: 77:[49, 14, 9], Operations: ['71-62=9'] Exploring Operation: 14*9=126, Resulting Numbers: [49, 126] Generated Node #3: [49, 126] from Operation: 14*9=126 Current State: 77:[49, 126], Operations: ['71-62=9', '14*9=126'] Exploring Operation: 126-49=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 19, 39, 3, 19 ]
75
[ "19+19=38", "3*38=114", "114-39=75" ]
Current State: 75:[19, 39, 3, 19], Operations: [] Exploring Operation: 19+19=38, Resulting Numbers: [39, 3, 38] Generated Node #2: [39, 3, 38] from Operation: 19+19=38 Current State: 75:[39, 3, 38], Operations: ['19+19=38'] Exploring Operation: 3*38=114, Resulting Numbers: [39, 114] Generated Node #3: [39, 114] from Operation: 3*38=114 Current State: 75:[39, 114], Operations: ['19+19=38', '3*38=114'] Exploring Operation: 114-39=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 70, 20, 83, 76 ]
43
[ "70-20=50", "83-76=7", "50-7=43" ]
Current State: 43:[70, 20, 83, 76], Operations: [] Exploring Operation: 70-20=50, Resulting Numbers: [83, 76, 50] Generated Node #2: [83, 76, 50] from Operation: 70-20=50 Current State: 43:[83, 76, 50], Operations: ['70-20=50'] Exploring Operation: 83-76=7, Resulting Numbers: [50, 7] Generated Node #3: [50, 7] from Operation: 83-76=7 Current State: 43:[50, 7], Operations: ['70-20=50', '83-76=7'] Exploring Operation: 50-7=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 5, 55, 10, 81 ]
52
[ "10/5=2", "81-55=26", "2*26=52" ]
Current State: 52:[5, 55, 10, 81], Operations: [] Exploring Operation: 10/5=2, Resulting Numbers: [55, 81, 2] Generated Node #2: [55, 81, 2] from Operation: 10/5=2 Current State: 52:[55, 81, 2], Operations: ['10/5=2'] Exploring Operation: 81-55=26, Resulting Numbers: [2, 26] Generated Node #3: [2, 26] from Operation: 81-55=26 Current State: 52:[2, 26], Operations: ['10/5=2', '81-55=26'] Exploring Operation: 2*26=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 98, 47, 41, 53 ]
49
[ "98*47=4606", "41+53=94", "4606/94=49" ]
Current State: 49:[98, 47, 41, 53], Operations: [] Exploring Operation: 98*47=4606, Resulting Numbers: [41, 53, 4606] Generated Node #2: [41, 53, 4606] from Operation: 98*47=4606 Current State: 49:[41, 53, 4606], Operations: ['98*47=4606'] Exploring Operation: 41+53=94, Resulting Numbers: [4606, 94] Generated Node #3: [4606, 94] from Operation: 41+53=94 Current State: 49:[4606, 94], Operations: ['98*47=4606', '41+53=94'] Exploring Operation: 4606/94=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 90, 66, 11, 13 ]
26
[ "90-66=24", "13-11=2", "24+2=26" ]
Current State: 26:[90, 66, 11, 13], Operations: [] Exploring Operation: 90-66=24, Resulting Numbers: [11, 13, 24] Generated Node #2: [11, 13, 24] from Operation: 90-66=24 Current State: 26:[11, 13, 24], Operations: ['90-66=24'] Exploring Operation: 13-11=2, Resulting Numbers: [24, 2] Generated Node #3: [24, 2] from Operation: 13-11=2 Current State: 26:[24, 2], Operations: ['90-66=24', '13-11=2'] Exploring Operation: 24+2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 59, 13, 18, 6 ]
13
[ "59+6=65", "18-13=5", "65/5=13" ]
Current State: 13:[59, 13, 18, 6], Operations: [] Exploring Operation: 59+6=65, Resulting Numbers: [13, 18, 65] Generated Node #2: [13, 18, 65] from Operation: 59+6=65 Current State: 13:[13, 18, 65], Operations: ['59+6=65'] Exploring Operation: 18-13=5, Resulting Numbers: [65, 5] Generated Node #3: [65, 5] from Operation: 18-13=5 Current State: 13:[65, 5], Operations: ['59+6=65', '18-13=5'] Exploring Operation: 65/5=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 31, 3, 65, 33 ]
35
[ "65-3=62", "62/31=2", "33+2=35" ]
Current State: 35:[31, 3, 65, 33], Operations: [] Exploring Operation: 65-3=62, Resulting Numbers: [31, 33, 62] Generated Node #2: [31, 33, 62] from Operation: 65-3=62 Current State: 35:[31, 33, 62], Operations: ['65-3=62'] Exploring Operation: 62/31=2, Resulting Numbers: [33, 2] Generated Node #3: [33, 2] from Operation: 62/31=2 Current State: 35:[33, 2], Operations: ['65-3=62', '62/31=2'] Exploring Operation: 33+2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 12, 13, 6, 52 ]
98
[ "12+13=25", "6*25=150", "150-52=98" ]
Current State: 98:[12, 13, 6, 52], Operations: [] Exploring Operation: 12+13=25, Resulting Numbers: [6, 52, 25] Generated Node #2: [6, 52, 25] from Operation: 12+13=25 Current State: 98:[6, 52, 25], Operations: ['12+13=25'] Exploring Operation: 6*25=150, Resulting Numbers: [52, 150] Generated Node #3: [52, 150] from Operation: 6*25=150 Current State: 98:[52, 150], Operations: ['12+13=25', '6*25=150'] Exploring Operation: 150-52=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 7, 25, 34, 14 ]
89
[ "7*14=98", "34-25=9", "98-9=89" ]
Current State: 89:[7, 25, 34, 14], Operations: [] Exploring Operation: 7*14=98, Resulting Numbers: [25, 34, 98] Generated Node #2: [25, 34, 98] from Operation: 7*14=98 Current State: 89:[25, 34, 98], Operations: ['7*14=98'] Exploring Operation: 34-25=9, Resulting Numbers: [98, 9] Generated Node #3: [98, 9] from Operation: 34-25=9 Current State: 89:[98, 9], Operations: ['7*14=98', '34-25=9'] Exploring Operation: 98-9=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 99, 29, 66, 72 ]
18
[ "99-29=70", "70-66=4", "72/4=18" ]
Current State: 18:[99, 29, 66, 72], Operations: [] Exploring Operation: 99-29=70, Resulting Numbers: [66, 72, 70] Generated Node #2: [66, 72, 70] from Operation: 99-29=70 Current State: 18:[66, 72, 70], Operations: ['99-29=70'] Exploring Operation: 70-66=4, Resulting Numbers: [72, 4] Generated Node #3: [72, 4] from Operation: 70-66=4 Current State: 18:[72, 4], Operations: ['99-29=70', '70-66=4'] Exploring Operation: 72/4=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 88, 94, 96, 34 ]
68
[ "94-88=6", "96-34=62", "6+62=68" ]
Current State: 68:[88, 94, 96, 34], Operations: [] Exploring Operation: 94-88=6, Resulting Numbers: [96, 34, 6] Generated Node #2: [96, 34, 6] from Operation: 94-88=6 Current State: 68:[96, 34, 6], Operations: ['94-88=6'] Exploring Operation: 96-34=62, Resulting Numbers: [6, 62] Generated Node #3: [6, 62] from Operation: 96-34=62 Current State: 68:[6, 62], Operations: ['94-88=6', '96-34=62'] Exploring Operation: 6+62=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 64, 66, 99, 54 ]
28
[ "66*54=3564", "3564/99=36", "64-36=28" ]
Current State: 28:[64, 66, 99, 54], Operations: [] Exploring Operation: 66*54=3564, Resulting Numbers: [64, 99, 3564] Generated Node #2: [64, 99, 3564] from Operation: 66*54=3564 Current State: 28:[64, 99, 3564], Operations: ['66*54=3564'] Exploring Operation: 3564/99=36, Resulting Numbers: [64, 36] Generated Node #3: [64, 36] from Operation: 3564/99=36 Current State: 28:[64, 36], Operations: ['66*54=3564', '3564/99=36'] Exploring Operation: 64-36=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 10, 15, 21, 62 ]
48
[ "10*21=210", "210/15=14", "62-14=48" ]
Current State: 48:[10, 15, 21, 62], Operations: [] Exploring Operation: 10*21=210, Resulting Numbers: [15, 62, 210] Generated Node #2: [15, 62, 210] from Operation: 10*21=210 Current State: 48:[15, 62, 210], Operations: ['10*21=210'] Exploring Operation: 210/15=14, Resulting Numbers: [62, 14] Generated Node #3: [62, 14] from Operation: 210/15=14 Current State: 48:[62, 14], Operations: ['10*21=210', '210/15=14'] Exploring Operation: 62-14=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 84, 44, 50, 31 ]
56
[ "84*50=4200", "44+31=75", "4200/75=56" ]
Current State: 56:[84, 44, 50, 31], Operations: [] Exploring Operation: 84*50=4200, Resulting Numbers: [44, 31, 4200] Generated Node #2: [44, 31, 4200] from Operation: 84*50=4200 Current State: 56:[44, 31, 4200], Operations: ['84*50=4200'] Exploring Operation: 44+31=75, Resulting Numbers: [4200, 75] Generated Node #3: [4200, 75] from Operation: 44+31=75 Current State: 56:[4200, 75], Operations: ['84*50=4200', '44+31=75'] Exploring Operation: 4200/75=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 58, 3, 75, 95 ]
36
[ "95-58=37", "3*37=111", "111-75=36" ]
Current State: 36:[58, 3, 75, 95], Operations: [] Exploring Operation: 95-58=37, Resulting Numbers: [3, 75, 37] Generated Node #2: [3, 75, 37] from Operation: 95-58=37 Current State: 36:[3, 75, 37], Operations: ['95-58=37'] Exploring Operation: 3*37=111, Resulting Numbers: [75, 111] Generated Node #3: [75, 111] from Operation: 3*37=111 Current State: 36:[75, 111], Operations: ['95-58=37', '3*37=111'] Exploring Operation: 111-75=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 15, 62, 45, 78 ]
45
[ "15+62=77", "78-77=1", "45*1=45" ]
Current State: 45:[15, 62, 45, 78], Operations: [] Exploring Operation: 15+62=77, Resulting Numbers: [45, 78, 77] Generated Node #2: [45, 78, 77] from Operation: 15+62=77 Current State: 45:[45, 78, 77], Operations: ['15+62=77'] Exploring Operation: 78-77=1, Resulting Numbers: [45, 1] Generated Node #3: [45, 1] from Operation: 78-77=1 Current State: 45:[45, 1], Operations: ['15+62=77', '78-77=1'] Exploring Operation: 45*1=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 70, 6, 22, 43 ]
30
[ "70-22=48", "48-43=5", "6*5=30" ]
Current State: 30:[70, 6, 22, 43], Operations: [] Exploring Operation: 70-22=48, Resulting Numbers: [6, 43, 48] Generated Node #2: [6, 43, 48] from Operation: 70-22=48 Current State: 30:[6, 43, 48], Operations: ['70-22=48'] Exploring Operation: 48-43=5, Resulting Numbers: [6, 5] Generated Node #3: [6, 5] from Operation: 48-43=5 Current State: 30:[6, 5], Operations: ['70-22=48', '48-43=5'] Exploring Operation: 6*5=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 4, 79, 4, 79 ]
79
[ "4-4=0", "79*0=0", "79+0=79" ]
Current State: 79:[4, 79, 4, 79], Operations: [] Exploring Operation: 4-4=0, Resulting Numbers: [79, 79, 0] Generated Node #2: [79, 79, 0] from Operation: 4-4=0 Current State: 79:[79, 79, 0], Operations: ['4-4=0'] Exploring Operation: 79*0=0, Resulting Numbers: [0] 0,79 equal: Goal Reached Exploring Operation: 79+0=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 72, 77, 21, 7 ]
68
[ "77+7=84", "84/21=4", "72-4=68" ]
Current State: 68:[72, 77, 21, 7], Operations: [] Exploring Operation: 77+7=84, Resulting Numbers: [72, 21, 84] Generated Node #2: [72, 21, 84] from Operation: 77+7=84 Current State: 68:[72, 21, 84], Operations: ['77+7=84'] Exploring Operation: 84/21=4, Resulting Numbers: [72, 4] Generated Node #3: [72, 4] from Operation: 84/21=4 Current State: 68:[72, 4], Operations: ['77+7=84', '84/21=4'] Exploring Operation: 72-4=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 21, 47, 90, 89 ]
69
[ "21+47=68", "90-89=1", "68+1=69" ]
Current State: 69:[21, 47, 90, 89], Operations: [] Exploring Operation: 21+47=68, Resulting Numbers: [90, 89, 68] Generated Node #2: [90, 89, 68] from Operation: 21+47=68 Current State: 69:[90, 89, 68], Operations: ['21+47=68'] Exploring Operation: 90-89=1, Resulting Numbers: [68, 1] Generated Node #3: [68, 1] from Operation: 90-89=1 Current State: 69:[68, 1], Operations: ['21+47=68', '90-89=1'] Exploring Operation: 68+1=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 29, 27, 3, 41 ]
12
[ "29+27=56", "3+41=44", "56-44=12" ]
Current State: 12:[29, 27, 3, 41], Operations: [] Exploring Operation: 29+27=56, Resulting Numbers: [3, 41, 56] Generated Node #2: [3, 41, 56] from Operation: 29+27=56 Current State: 12:[3, 41, 56], Operations: ['29+27=56'] Exploring Operation: 3+41=44, Resulting Numbers: [56, 44] Generated Node #3: [56, 44] from Operation: 3+41=44 Current State: 12:[56, 44], Operations: ['29+27=56', '3+41=44'] Exploring Operation: 56-44=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 40, 89, 46, 26 ]
57
[ "40+89=129", "46+26=72", "129-72=57" ]
Current State: 57:[40, 89, 46, 26], Operations: [] Exploring Operation: 40+89=129, Resulting Numbers: [46, 26, 129] Generated Node #2: [46, 26, 129] from Operation: 40+89=129 Current State: 57:[46, 26, 129], Operations: ['40+89=129'] Exploring Operation: 46+26=72, Resulting Numbers: [129, 72] Generated Node #3: [129, 72] from Operation: 46+26=72 Current State: 57:[129, 72], Operations: ['40+89=129', '46+26=72'] Exploring Operation: 129-72=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 37, 33, 7, 22 ]
55
[ "37+33=70", "22-7=15", "70-15=55" ]
Current State: 55:[37, 33, 7, 22], Operations: [] Exploring Operation: 37+33=70, Resulting Numbers: [7, 22, 70] Generated Node #2: [7, 22, 70] from Operation: 37+33=70 Current State: 55:[7, 22, 70], Operations: ['37+33=70'] Exploring Operation: 22-7=15, Resulting Numbers: [70, 15] Generated Node #3: [70, 15] from Operation: 22-7=15 Current State: 55:[70, 15], Operations: ['37+33=70', '22-7=15'] Exploring Operation: 70-15=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 7, 5, 36, 19 ]
52
[ "7*5=35", "36-19=17", "35+17=52" ]
Current State: 52:[7, 5, 36, 19], Operations: [] Exploring Operation: 7*5=35, Resulting Numbers: [36, 19, 35] Generated Node #2: [36, 19, 35] from Operation: 7*5=35 Current State: 52:[36, 19, 35], Operations: ['7*5=35'] Exploring Operation: 36-19=17, Resulting Numbers: [35, 17] Generated Node #3: [35, 17] from Operation: 36-19=17 Current State: 52:[35, 17], Operations: ['7*5=35', '36-19=17'] Exploring Operation: 35+17=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 36, 94, 83, 8 ]
52
[ "94-83=11", "8*11=88", "88-36=52" ]
Current State: 52:[36, 94, 83, 8], Operations: [] Exploring Operation: 94-83=11, Resulting Numbers: [36, 8, 11] Generated Node #2: [36, 8, 11] from Operation: 94-83=11 Current State: 52:[36, 8, 11], Operations: ['94-83=11'] Exploring Operation: 8*11=88, Resulting Numbers: [36, 88] Generated Node #3: [36, 88] from Operation: 8*11=88 Current State: 52:[36, 88], Operations: ['94-83=11', '8*11=88'] Exploring Operation: 88-36=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 30, 13, 34, 39 ]
83
[ "39-30=9", "13*9=117", "117-34=83" ]
Current State: 83:[30, 13, 34, 39], Operations: [] Exploring Operation: 39-30=9, Resulting Numbers: [13, 34, 9] Generated Node #2: [13, 34, 9] from Operation: 39-30=9 Current State: 83:[13, 34, 9], Operations: ['39-30=9'] Exploring Operation: 13*9=117, Resulting Numbers: [34, 117] Generated Node #3: [34, 117] from Operation: 13*9=117 Current State: 83:[34, 117], Operations: ['39-30=9', '13*9=117'] Exploring Operation: 117-34=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 95, 53, 23, 86 ]
85
[ "95+53=148", "86-23=63", "148-63=85" ]
Current State: 85:[95, 53, 23, 86], Operations: [] Exploring Operation: 95+53=148, Resulting Numbers: [23, 86, 148] Generated Node #2: [23, 86, 148] from Operation: 95+53=148 Current State: 85:[23, 86, 148], Operations: ['95+53=148'] Exploring Operation: 86-23=63, Resulting Numbers: [148, 63] Generated Node #3: [148, 63] from Operation: 86-23=63 Current State: 85:[148, 63], Operations: ['95+53=148', '86-23=63'] Exploring Operation: 148-63=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 16, 57, 93, 2 ]
97
[ "93-16=77", "2*77=154", "154-57=97" ]
Current State: 97:[16, 57, 93, 2], Operations: [] Exploring Operation: 93-16=77, Resulting Numbers: [57, 2, 77] Generated Node #2: [57, 2, 77] from Operation: 93-16=77 Current State: 97:[57, 2, 77], Operations: ['93-16=77'] Exploring Operation: 2*77=154, Resulting Numbers: [57, 154] Generated Node #3: [57, 154] from Operation: 2*77=154 Current State: 97:[57, 154], Operations: ['93-16=77', '2*77=154'] Exploring Operation: 154-57=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 37, 42, 96, 34 ]
67
[ "42-37=5", "96-34=62", "5+62=67" ]
Current State: 67:[37, 42, 96, 34], Operations: [] Exploring Operation: 42-37=5, Resulting Numbers: [96, 34, 5] Generated Node #2: [96, 34, 5] from Operation: 42-37=5 Current State: 67:[96, 34, 5], Operations: ['42-37=5'] Exploring Operation: 96-34=62, Resulting Numbers: [5, 62] Generated Node #3: [5, 62] from Operation: 96-34=62 Current State: 67:[5, 62], Operations: ['42-37=5', '96-34=62'] Exploring Operation: 5+62=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 81, 84, 12, 68 ]
83
[ "84-81=3", "12+68=80", "3+80=83" ]
Current State: 83:[81, 84, 12, 68], Operations: [] Exploring Operation: 84-81=3, Resulting Numbers: [12, 68, 3] Generated Node #2: [12, 68, 3] from Operation: 84-81=3 Current State: 83:[12, 68, 3], Operations: ['84-81=3'] Exploring Operation: 12+68=80, Resulting Numbers: [3, 80] Generated Node #3: [3, 80] from Operation: 12+68=80 Current State: 83:[3, 80], Operations: ['84-81=3', '12+68=80'] Exploring Operation: 3+80=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 37, 46, 95, 49 ]
61
[ "37+46=83", "95+49=144", "144-83=61" ]
Current State: 61:[37, 46, 95, 49], Operations: [] Exploring Operation: 37+46=83, Resulting Numbers: [95, 49, 83] Generated Node #2: [95, 49, 83] from Operation: 37+46=83 Current State: 61:[95, 49, 83], Operations: ['37+46=83'] Exploring Operation: 95+49=144, Resulting Numbers: [83, 144] Generated Node #3: [83, 144] from Operation: 95+49=144 Current State: 61:[83, 144], Operations: ['37+46=83', '95+49=144'] Exploring Operation: 144-83=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 70, 10, 96, 64 ]
95
[ "70*96=6720", "6720/64=105", "105-10=95" ]
Current State: 95:[70, 10, 96, 64], Operations: [] Exploring Operation: 70*96=6720, Resulting Numbers: [10, 64, 6720] Generated Node #2: [10, 64, 6720] from Operation: 70*96=6720 Current State: 95:[10, 64, 6720], Operations: ['70*96=6720'] Exploring Operation: 6720/64=105, Resulting Numbers: [10, 105] Generated Node #3: [10, 105] from Operation: 6720/64=105 Current State: 95:[10, 105], Operations: ['70*96=6720', '6720/64=105'] Exploring Operation: 105-10=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 24, 87, 67, 23 ]
20
[ "24-23=1", "87-67=20", "1*20=20" ]
Current State: 20:[24, 87, 67, 23], Operations: [] Exploring Operation: 24-23=1, Resulting Numbers: [87, 67, 1] Generated Node #2: [87, 67, 1] from Operation: 24-23=1 Current State: 20:[87, 67, 1], Operations: ['24-23=1'] Exploring Operation: 87-67=20, Resulting Numbers: [1, 20] Generated Node #3: [1, 20] from Operation: 87-67=20 Current State: 20:[1, 20], Operations: ['24-23=1', '87-67=20'] Exploring Operation: 1*20=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 45, 48, 12, 42 ]
91
[ "45+42=87", "48/12=4", "87+4=91" ]
Current State: 91:[45, 48, 12, 42], Operations: [] Exploring Operation: 45+42=87, Resulting Numbers: [48, 12, 87] Generated Node #2: [48, 12, 87] from Operation: 45+42=87 Current State: 91:[48, 12, 87], Operations: ['45+42=87'] Exploring Operation: 48/12=4, Resulting Numbers: [87, 4] Generated Node #3: [87, 4] from Operation: 48/12=4 Current State: 91:[87, 4], Operations: ['45+42=87', '48/12=4'] Exploring Operation: 87+4=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 64, 12, 14, 8 ]
56
[ "64/8=8", "12-8=4", "14*4=56" ]
Current State: 56:[64, 12, 14, 8], Operations: [] Exploring Operation: 64/8=8, Resulting Numbers: [12, 14, 8] Generated Node #2: [12, 14, 8] from Operation: 64/8=8 Current State: 56:[12, 14, 8], Operations: ['64/8=8'] Exploring Operation: 12-8=4, Resulting Numbers: [14, 4] Generated Node #3: [14, 4] from Operation: 12-8=4 Current State: 56:[14, 4], Operations: ['64/8=8', '12-8=4'] Exploring Operation: 14*4=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 68, 17, 65, 32 ]
29
[ "68/17=4", "65-32=33", "33-4=29" ]
Current State: 29:[68, 17, 65, 32], Operations: [] Exploring Operation: 68/17=4, Resulting Numbers: [65, 32, 4] Generated Node #2: [65, 32, 4] from Operation: 68/17=4 Current State: 29:[65, 32, 4], Operations: ['68/17=4'] Exploring Operation: 65-32=33, Resulting Numbers: [4, 33] Generated Node #3: [4, 33] from Operation: 65-32=33 Current State: 29:[4, 33], Operations: ['68/17=4', '65-32=33'] Exploring Operation: 33-4=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 33, 37, 67, 63 ]
74
[ "33+37=70", "67-63=4", "70+4=74" ]
Current State: 74:[33, 37, 67, 63], Operations: [] Exploring Operation: 33+37=70, Resulting Numbers: [67, 63, 70] Generated Node #2: [67, 63, 70] from Operation: 33+37=70 Current State: 74:[67, 63, 70], Operations: ['33+37=70'] Exploring Operation: 67-63=4, Resulting Numbers: [70, 4] Generated Node #3: [70, 4] from Operation: 67-63=4 Current State: 74:[70, 4], Operations: ['33+37=70', '67-63=4'] Exploring Operation: 70+4=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4