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
[ 96, 40, 76, 90 ]
88
[ "96-76=20", "40/20=2", "90-2=88" ]
Current State: 88:[96, 40, 76, 90], Operations: [] Exploring Operation: 96-76=20, Resulting Numbers: [40, 90, 20] Generated Node #2: [40, 90, 20] from Operation: 96-76=20 Current State: 88:[40, 90, 20], Operations: ['96-76=20'] Exploring Operation: 40/20=2, Resulting Numbers: [90, 2] Generated Node #3: [90, 2] from Operation: 40/20=2 Current State: 88:[90, 2], Operations: ['96-76=20', '40/20=2'] Exploring Operation: 90-2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 91, 7, 27, 36 ]
35
[ "91+7=98", "27+36=63", "98-63=35" ]
Current State: 35:[91, 7, 27, 36], Operations: [] Exploring Operation: 91+7=98, Resulting Numbers: [27, 36, 98] Generated Node #2: [27, 36, 98] from Operation: 91+7=98 Current State: 35:[27, 36, 98], Operations: ['91+7=98'] Exploring Operation: 27+36=63, Resulting Numbers: [98, 63] Generated Node #3: [98, 63] from Operation: 27+36=63 Current State: 35:[98, 63], Operations: ['91+7=98', '27+36=63'] Exploring Operation: 98-63=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 60, 61, 6, 64 ]
69
[ "61-60=1", "6+64=70", "70-1=69" ]
Current State: 69:[60, 61, 6, 64], Operations: [] Exploring Operation: 61-60=1, Resulting Numbers: [6, 64, 1] Generated Node #2: [6, 64, 1] from Operation: 61-60=1 Current State: 69:[6, 64, 1], Operations: ['61-60=1'] Exploring Operation: 6+64=70, Resulting Numbers: [1, 70] Generated Node #3: [1, 70] from Operation: 6+64=70 Current State: 69:[1, 70], Operations: ['61-60=1', '6+64=70'] Exploring Operation: 70-1=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 2, 24, 22, 80 ]
30
[ "24+80=104", "104/2=52", "52-22=30" ]
Current State: 30:[2, 24, 22, 80], Operations: [] Exploring Operation: 24+80=104, Resulting Numbers: [2, 22, 104] Generated Node #2: [2, 22, 104] from Operation: 24+80=104 Current State: 30:[2, 22, 104], Operations: ['24+80=104'] Exploring Operation: 104/2=52, Resulting Numbers: [22, 52] Generated Node #3: [22, 52] from Operation: 104/2=52 Current State: 30:[22, 52], Operations: ['24+80=104', '104/2=52'] Exploring Operation: 52-22=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 18, 69, 64, 78 ]
98
[ "78-69=9", "18*9=162", "162-64=98" ]
Current State: 98:[18, 69, 64, 78], Operations: [] Exploring Operation: 78-69=9, Resulting Numbers: [18, 64, 9] Generated Node #2: [18, 64, 9] from Operation: 78-69=9 Current State: 98:[18, 64, 9], Operations: ['78-69=9'] Exploring Operation: 18*9=162, Resulting Numbers: [64, 162] Generated Node #3: [64, 162] from Operation: 18*9=162 Current State: 98:[64, 162], Operations: ['78-69=9', '18*9=162'] Exploring Operation: 162-64=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 73, 84, 51, 11 ]
29
[ "84-73=11", "51-11=40", "40-11=29" ]
Current State: 29:[73, 84, 51, 11], Operations: [] Exploring Operation: 84-73=11, Resulting Numbers: [51, 11, 11] Generated Node #2: [51, 11, 11] from Operation: 84-73=11 Current State: 29:[51, 11, 11], Operations: ['84-73=11'] Exploring Operation: 51-11=40, Resulting Numbers: [40] 40,29 equal: Goal Reached Exploring Operation: 40-11=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 73, 45, 29, 50 ]
50
[ "73-45=28", "29-28=1", "50*1=50" ]
Current State: 50:[73, 45, 29, 50], Operations: [] Exploring Operation: 73-45=28, Resulting Numbers: [29, 50, 28] Generated Node #2: [29, 50, 28] from Operation: 73-45=28 Current State: 50:[29, 50, 28], Operations: ['73-45=28'] Exploring Operation: 29-28=1, Resulting Numbers: [50, 1] Generated Node #3: [50, 1] from Operation: 29-28=1 Current State: 50:[50, 1], Operations: ['73-45=28', '29-28=1'] Exploring Operation: 50*1=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 14, 61, 5, 97 ]
88
[ "14*5=70", "61+97=158", "158-70=88" ]
Current State: 88:[14, 61, 5, 97], Operations: [] Exploring Operation: 14*5=70, Resulting Numbers: [61, 97, 70] Generated Node #2: [61, 97, 70] from Operation: 14*5=70 Current State: 88:[61, 97, 70], Operations: ['14*5=70'] Exploring Operation: 61+97=158, Resulting Numbers: [70, 158] Generated Node #3: [70, 158] from Operation: 61+97=158 Current State: 88:[70, 158], Operations: ['14*5=70', '61+97=158'] Exploring Operation: 158-70=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 44, 18, 41, 93 ]
26
[ "44-18=26", "93-41=52", "52-26=26" ]
Current State: 26:[44, 18, 41, 93], Operations: [] Exploring Operation: 44-18=26, Resulting Numbers: [41, 93, 26] Generated Node #2: [41, 93, 26] from Operation: 44-18=26 Current State: 26:[41, 93, 26], Operations: ['44-18=26'] Exploring Operation: 93-41=52, Resulting Numbers: [26, 52] Generated Node #3: [26, 52] from Operation: 93-41=52 Current State: 26:[26, 52], Operations: ['44-18=26', '93-41=52'] Exploring Operation: 52-26=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 9, 28, 55, 7 ]
68
[ "9+55=64", "28/7=4", "64+4=68" ]
Current State: 68:[9, 28, 55, 7], Operations: [] Exploring Operation: 9+55=64, Resulting Numbers: [28, 7, 64] Generated Node #2: [28, 7, 64] from Operation: 9+55=64 Current State: 68:[28, 7, 64], Operations: ['9+55=64'] Exploring Operation: 28/7=4, Resulting Numbers: [64, 4] Generated Node #3: [64, 4] from Operation: 28/7=4 Current State: 68:[64, 4], Operations: ['9+55=64', '28/7=4'] Exploring Operation: 64+4=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 36, 22, 50, 87 ]
75
[ "36+22=58", "50*87=4350", "4350/58=75" ]
Current State: 75:[36, 22, 50, 87], Operations: [] Exploring Operation: 36+22=58, Resulting Numbers: [50, 87, 58] Generated Node #2: [50, 87, 58] from Operation: 36+22=58 Current State: 75:[50, 87, 58], Operations: ['36+22=58'] Exploring Operation: 50*87=4350, Resulting Numbers: [58, 4350] Generated Node #3: [58, 4350] from Operation: 50*87=4350 Current State: 75:[58, 4350], Operations: ['36+22=58', '50*87=4350'] Exploring Operation: 4350/58=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 60, 30, 37, 54 ]
93
[ "60/30=2", "37+54=91", "2+91=93" ]
Current State: 93:[60, 30, 37, 54], Operations: [] Exploring Operation: 60/30=2, Resulting Numbers: [37, 54, 2] Generated Node #2: [37, 54, 2] from Operation: 60/30=2 Current State: 93:[37, 54, 2], Operations: ['60/30=2'] Exploring Operation: 37+54=91, Resulting Numbers: [2, 91] Generated Node #3: [2, 91] from Operation: 37+54=91 Current State: 93:[2, 91], Operations: ['60/30=2', '37+54=91'] Exploring Operation: 2+91=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 51, 8, 51, 40 ]
49
[ "51/51=1", "8+40=48", "1+48=49" ]
Current State: 49:[51, 8, 51, 40], Operations: [] Exploring Operation: 51/51=1, Resulting Numbers: [8, 40, 1] Generated Node #2: [8, 40, 1] from Operation: 51/51=1 Current State: 49:[8, 40, 1], Operations: ['51/51=1'] Exploring Operation: 8+40=48, Resulting Numbers: [1, 48] Generated Node #3: [1, 48] from Operation: 8+40=48 Current State: 49:[1, 48], Operations: ['51/51=1', '8+40=48'] Exploring Operation: 1+48=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 69, 23, 37, 50 ]
39
[ "69/23=3", "50-37=13", "3*13=39" ]
Current State: 39:[69, 23, 37, 50], Operations: [] Exploring Operation: 69/23=3, Resulting Numbers: [37, 50, 3] Generated Node #2: [37, 50, 3] from Operation: 69/23=3 Current State: 39:[37, 50, 3], Operations: ['69/23=3'] Exploring Operation: 50-37=13, Resulting Numbers: [3, 13] Generated Node #3: [3, 13] from Operation: 50-37=13 Current State: 39:[3, 13], Operations: ['69/23=3', '50-37=13'] Exploring Operation: 3*13=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 45, 17, 23, 15 ]
44
[ "45-23=22", "17-15=2", "22*2=44" ]
Current State: 44:[45, 17, 23, 15], Operations: [] Exploring Operation: 45-23=22, Resulting Numbers: [17, 15, 22] Generated Node #2: [17, 15, 22] from Operation: 45-23=22 Current State: 44:[17, 15, 22], Operations: ['45-23=22'] Exploring Operation: 17-15=2, Resulting Numbers: [22, 2] Generated Node #3: [22, 2] from Operation: 17-15=2 Current State: 44:[22, 2], Operations: ['45-23=22', '17-15=2'] Exploring Operation: 22*2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 5, 6, 94, 68 ]
26
[ "6-5=1", "94-68=26", "1*26=26" ]
Current State: 26:[5, 6, 94, 68], Operations: [] Exploring Operation: 6-5=1, Resulting Numbers: [94, 68, 1] Generated Node #2: [94, 68, 1] from Operation: 6-5=1 Current State: 26:[94, 68, 1], Operations: ['6-5=1'] Exploring Operation: 94-68=26, Resulting Numbers: [1, 26] Generated Node #3: [1, 26] from Operation: 94-68=26 Current State: 26:[1, 26], Operations: ['6-5=1', '94-68=26'] Exploring Operation: 1*26=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 68, 1, 63, 1 ]
97
[ "1+1=2", "68/2=34", "63+34=97" ]
Current State: 97:[68, 1, 63, 1], Operations: [] Exploring Operation: 1+1=2, Resulting Numbers: [68, 63, 2] Generated Node #2: [68, 63, 2] from Operation: 1+1=2 Current State: 97:[68, 63, 2], Operations: ['1+1=2'] Exploring Operation: 68/2=34, Resulting Numbers: [63, 34] Generated Node #3: [63, 34] from Operation: 68/2=34 Current State: 97:[63, 34], Operations: ['1+1=2', '68/2=34'] Exploring Operation: 63+34=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 32, 54, 19, 56 ]
45
[ "56-54=2", "32*2=64", "64-19=45" ]
Current State: 45:[32, 54, 19, 56], Operations: [] Exploring Operation: 56-54=2, Resulting Numbers: [32, 19, 2] Generated Node #2: [32, 19, 2] from Operation: 56-54=2 Current State: 45:[32, 19, 2], Operations: ['56-54=2'] Exploring Operation: 32*2=64, Resulting Numbers: [19, 64] Generated Node #3: [19, 64] from Operation: 32*2=64 Current State: 45:[19, 64], Operations: ['56-54=2', '32*2=64'] Exploring Operation: 64-19=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 24, 30, 4, 2 ]
88
[ "24+4=28", "30*2=60", "28+60=88" ]
Current State: 88:[24, 30, 4, 2], Operations: [] Exploring Operation: 24+4=28, Resulting Numbers: [30, 2, 28] Generated Node #2: [30, 2, 28] from Operation: 24+4=28 Current State: 88:[30, 2, 28], Operations: ['24+4=28'] Exploring Operation: 30*2=60, Resulting Numbers: [28, 60] Generated Node #3: [28, 60] from Operation: 30*2=60 Current State: 88:[28, 60], Operations: ['24+4=28', '30*2=60'] Exploring Operation: 28+60=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 5, 1, 33, 15 ]
100
[ "15/5=3", "33*3=99", "1+99=100" ]
Current State: 100:[5, 1, 33, 15], Operations: [] Exploring Operation: 15/5=3, Resulting Numbers: [1, 33, 3] Generated Node #2: [1, 33, 3] from Operation: 15/5=3 Current State: 100:[1, 33, 3], Operations: ['15/5=3'] Exploring Operation: 33*3=99, Resulting Numbers: [1, 99] Generated Node #3: [1, 99] from Operation: 33*3=99 Current State: 100:[1, 99], Operations: ['15/5=3', '33*3=99'] Exploring Operation: 1+99=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 40, 67, 35, 71 ]
100
[ "71-67=4", "35*4=140", "140-40=100" ]
Current State: 100:[40, 67, 35, 71], Operations: [] Exploring Operation: 71-67=4, Resulting Numbers: [40, 35, 4] Generated Node #2: [40, 35, 4] from Operation: 71-67=4 Current State: 100:[40, 35, 4], Operations: ['71-67=4'] Exploring Operation: 35*4=140, Resulting Numbers: [40, 140] Generated Node #3: [40, 140] from Operation: 35*4=140 Current State: 100:[40, 140], Operations: ['71-67=4', '35*4=140'] Exploring Operation: 140-40=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 93, 65, 92, 25 ]
10
[ "93+65=158", "92+158=250", "250/25=10" ]
Current State: 10:[93, 65, 92, 25], Operations: [] Exploring Operation: 93+65=158, Resulting Numbers: [92, 25, 158] Generated Node #2: [92, 25, 158] from Operation: 93+65=158 Current State: 10:[92, 25, 158], Operations: ['93+65=158'] Exploring Operation: 92+158=250, Resulting Numbers: [25, 250] Generated Node #3: [25, 250] from Operation: 92+158=250 Current State: 10:[25, 250], Operations: ['93+65=158', '92+158=250'] Exploring Operation: 250/25=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 35, 42, 54, 21 ]
93
[ "42-35=7", "21*7=147", "147-54=93" ]
Current State: 93:[35, 42, 54, 21], Operations: [] Exploring Operation: 42-35=7, Resulting Numbers: [54, 21, 7] Generated Node #2: [54, 21, 7] from Operation: 42-35=7 Current State: 93:[54, 21, 7], Operations: ['42-35=7'] Exploring Operation: 21*7=147, Resulting Numbers: [54, 147] Generated Node #3: [54, 147] from Operation: 21*7=147 Current State: 93:[54, 147], Operations: ['42-35=7', '21*7=147'] Exploring Operation: 147-54=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 80, 40, 20, 71 ]
69
[ "80+40=120", "71-20=51", "120-51=69" ]
Current State: 69:[80, 40, 20, 71], Operations: [] Exploring Operation: 80+40=120, Resulting Numbers: [20, 71, 120] Generated Node #2: [20, 71, 120] from Operation: 80+40=120 Current State: 69:[20, 71, 120], Operations: ['80+40=120'] Exploring Operation: 71-20=51, Resulting Numbers: [120, 51] Generated Node #3: [120, 51] from Operation: 71-20=51 Current State: 69:[120, 51], Operations: ['80+40=120', '71-20=51'] Exploring Operation: 120-51=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 2, 62, 11, 12 ]
26
[ "62+12=74", "74/2=37", "37-11=26" ]
Current State: 26:[2, 62, 11, 12], Operations: [] Exploring Operation: 62+12=74, Resulting Numbers: [2, 11, 74] Generated Node #2: [2, 11, 74] from Operation: 62+12=74 Current State: 26:[2, 11, 74], Operations: ['62+12=74'] Exploring Operation: 74/2=37, Resulting Numbers: [11, 37] Generated Node #3: [11, 37] from Operation: 74/2=37 Current State: 26:[11, 37], Operations: ['62+12=74', '74/2=37'] Exploring Operation: 37-11=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 80, 44, 19, 43 ]
99
[ "80+19=99", "44-43=1", "99*1=99" ]
Current State: 99:[80, 44, 19, 43], Operations: [] Exploring Operation: 80+19=99, Resulting Numbers: [44, 43, 99] Generated Node #2: [44, 43, 99] from Operation: 80+19=99 Current State: 99:[44, 43, 99], Operations: ['80+19=99'] Exploring Operation: 44-43=1, Resulting Numbers: [99, 1] Generated Node #3: [99, 1] from Operation: 44-43=1 Current State: 99:[99, 1], Operations: ['80+19=99', '44-43=1'] Exploring Operation: 99*1=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 46, 35, 10, 9 ]
80
[ "46+35=81", "10-9=1", "81-1=80" ]
Current State: 80:[46, 35, 10, 9], Operations: [] Exploring Operation: 46+35=81, Resulting Numbers: [10, 9, 81] Generated Node #2: [10, 9, 81] from Operation: 46+35=81 Current State: 80:[10, 9, 81], Operations: ['46+35=81'] Exploring Operation: 10-9=1, Resulting Numbers: [81, 1] Generated Node #3: [81, 1] from Operation: 10-9=1 Current State: 80:[81, 1], Operations: ['46+35=81', '10-9=1'] Exploring Operation: 81-1=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 12, 60, 59, 65 ]
11
[ "60/12=5", "65-59=6", "5+6=11" ]
Current State: 11:[12, 60, 59, 65], Operations: [] Exploring Operation: 60/12=5, Resulting Numbers: [59, 65, 5] Generated Node #2: [59, 65, 5] from Operation: 60/12=5 Current State: 11:[59, 65, 5], Operations: ['60/12=5'] Exploring Operation: 65-59=6, Resulting Numbers: [5, 6] Generated Node #3: [5, 6] from Operation: 65-59=6 Current State: 11:[5, 6], Operations: ['60/12=5', '65-59=6'] Exploring Operation: 5+6=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 29, 82, 22, 3 ]
93
[ "82-29=53", "53-22=31", "3*31=93" ]
Current State: 93:[29, 82, 22, 3], Operations: [] Exploring Operation: 82-29=53, Resulting Numbers: [22, 3, 53] Generated Node #2: [22, 3, 53] from Operation: 82-29=53 Current State: 93:[22, 3, 53], Operations: ['82-29=53'] Exploring Operation: 53-22=31, Resulting Numbers: [3, 31] Generated Node #3: [3, 31] from Operation: 53-22=31 Current State: 93:[3, 31], Operations: ['82-29=53', '53-22=31'] Exploring Operation: 3*31=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 69, 72, 78, 60 ]
86
[ "72-69=3", "78/3=26", "60+26=86" ]
Current State: 86:[69, 72, 78, 60], Operations: [] Exploring Operation: 72-69=3, Resulting Numbers: [78, 60, 3] Generated Node #2: [78, 60, 3] from Operation: 72-69=3 Current State: 86:[78, 60, 3], Operations: ['72-69=3'] Exploring Operation: 78/3=26, Resulting Numbers: [60, 26] Generated Node #3: [60, 26] from Operation: 78/3=26 Current State: 86:[60, 26], Operations: ['72-69=3', '78/3=26'] Exploring Operation: 60+26=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 27, 33, 54, 30 ]
63
[ "30-27=3", "54-33=21", "3*21=63" ]
Current State: 63:[27, 33, 54, 30], Operations: [] Exploring Operation: 30-27=3, Resulting Numbers: [33, 54, 3] Generated Node #2: [33, 54, 3] from Operation: 30-27=3 Current State: 63:[33, 54, 3], Operations: ['30-27=3'] Exploring Operation: 54-33=21, Resulting Numbers: [3, 21] Generated Node #3: [3, 21] from Operation: 54-33=21 Current State: 63:[3, 21], Operations: ['30-27=3', '54-33=21'] Exploring Operation: 3*21=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 85, 49, 81, 98 ]
10
[ "98-85=13", "49+81=130", "130/13=10" ]
Current State: 10:[85, 49, 81, 98], Operations: [] Exploring Operation: 98-85=13, Resulting Numbers: [49, 81, 13] Generated Node #2: [49, 81, 13] from Operation: 98-85=13 Current State: 10:[49, 81, 13], Operations: ['98-85=13'] Exploring Operation: 49+81=130, Resulting Numbers: [13, 130] Generated Node #3: [13, 130] from Operation: 49+81=130 Current State: 10:[13, 130], Operations: ['98-85=13', '49+81=130'] Exploring Operation: 130/13=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 60, 10, 50, 77 ]
76
[ "60-10=50", "50/50=1", "77-1=76" ]
Current State: 76:[60, 10, 50, 77], Operations: [] Exploring Operation: 60-10=50, Resulting Numbers: [50, 77, 50] Generated Node #2: [50, 77, 50] from Operation: 60-10=50 Current State: 76:[50, 77, 50], Operations: ['60-10=50'] Exploring Operation: 50/50=1, Resulting Numbers: [77, 1] Generated Node #3: [77, 1] from Operation: 50/50=1 Current State: 76:[77, 1], Operations: ['60-10=50', '50/50=1'] Exploring Operation: 77-1=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 56, 17, 22, 36 ]
100
[ "56-36=20", "22-17=5", "20*5=100" ]
Current State: 100:[56, 17, 22, 36], Operations: [] Exploring Operation: 56-36=20, Resulting Numbers: [17, 22, 20] Generated Node #2: [17, 22, 20] from Operation: 56-36=20 Current State: 100:[17, 22, 20], Operations: ['56-36=20'] Exploring Operation: 22-17=5, Resulting Numbers: [20, 5] Generated Node #3: [20, 5] from Operation: 22-17=5 Current State: 100:[20, 5], Operations: ['56-36=20', '22-17=5'] Exploring Operation: 20*5=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 69, 5, 46, 43 ]
100
[ "69+46=115", "5*43=215", "215-115=100" ]
Current State: 100:[69, 5, 46, 43], Operations: [] Exploring Operation: 69+46=115, Resulting Numbers: [5, 43, 115] Generated Node #2: [5, 43, 115] from Operation: 69+46=115 Current State: 100:[5, 43, 115], Operations: ['69+46=115'] Exploring Operation: 5*43=215, Resulting Numbers: [115, 215] Generated Node #3: [115, 215] from Operation: 5*43=215 Current State: 100:[115, 215], Operations: ['69+46=115', '5*43=215'] Exploring Operation: 215-115=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 74, 46, 24, 48 ]
44
[ "74-46=28", "24+48=72", "72-28=44" ]
Current State: 44:[74, 46, 24, 48], Operations: [] Exploring Operation: 74-46=28, Resulting Numbers: [24, 48, 28] Generated Node #2: [24, 48, 28] from Operation: 74-46=28 Current State: 44:[24, 48, 28], Operations: ['74-46=28'] Exploring Operation: 24+48=72, Resulting Numbers: [28, 72] Generated Node #3: [28, 72] from Operation: 24+48=72 Current State: 44:[28, 72], Operations: ['74-46=28', '24+48=72'] Exploring Operation: 72-28=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 64, 94, 67, 36 ]
46
[ "64*67=4288", "36+4288=4324", "4324/94=46" ]
Current State: 46:[64, 94, 67, 36], Operations: [] Exploring Operation: 64*67=4288, Resulting Numbers: [94, 36, 4288] Generated Node #2: [94, 36, 4288] from Operation: 64*67=4288 Current State: 46:[94, 36, 4288], Operations: ['64*67=4288'] Exploring Operation: 36+4288=4324, Resulting Numbers: [94, 4324] Generated Node #3: [94, 4324] from Operation: 36+4288=4324 Current State: 46:[94, 4324], Operations: ['64*67=4288', '36+4288=4324'] Exploring Operation: 4324/94=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 14, 73, 9, 82 ]
32
[ "73-14=59", "9+82=91", "91-59=32" ]
Current State: 32:[14, 73, 9, 82], Operations: [] Exploring Operation: 73-14=59, Resulting Numbers: [9, 82, 59] Generated Node #2: [9, 82, 59] from Operation: 73-14=59 Current State: 32:[9, 82, 59], Operations: ['73-14=59'] Exploring Operation: 9+82=91, Resulting Numbers: [59, 91] Generated Node #3: [59, 91] from Operation: 9+82=91 Current State: 32:[59, 91], Operations: ['73-14=59', '9+82=91'] Exploring Operation: 91-59=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 78, 80, 72, 68 ]
76
[ "80-78=2", "72*2=144", "144-68=76" ]
Current State: 76:[78, 80, 72, 68], Operations: [] Exploring Operation: 80-78=2, Resulting Numbers: [72, 68, 2] Generated Node #2: [72, 68, 2] from Operation: 80-78=2 Current State: 76:[72, 68, 2], Operations: ['80-78=2'] Exploring Operation: 72*2=144, Resulting Numbers: [68, 144] Generated Node #3: [68, 144] from Operation: 72*2=144 Current State: 76:[68, 144], Operations: ['80-78=2', '72*2=144'] Exploring Operation: 144-68=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 7, 2, 63, 53 ]
60
[ "7+2=9", "63/9=7", "53+7=60" ]
Current State: 60:[7, 2, 63, 53], Operations: [] Exploring Operation: 7+2=9, Resulting Numbers: [63, 53, 9] Generated Node #2: [63, 53, 9] from Operation: 7+2=9 Current State: 60:[63, 53, 9], Operations: ['7+2=9'] Exploring Operation: 63/9=7, Resulting Numbers: [53, 7] Generated Node #3: [53, 7] from Operation: 63/9=7 Current State: 60:[53, 7], Operations: ['7+2=9', '63/9=7'] Exploring Operation: 53+7=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 51, 84, 94, 27 ]
100
[ "84-51=33", "94-27=67", "33+67=100" ]
Current State: 100:[51, 84, 94, 27], Operations: [] Exploring Operation: 84-51=33, Resulting Numbers: [94, 27, 33] Generated Node #2: [94, 27, 33] from Operation: 84-51=33 Current State: 100:[94, 27, 33], Operations: ['84-51=33'] Exploring Operation: 94-27=67, Resulting Numbers: [33, 67] Generated Node #3: [33, 67] from Operation: 94-27=67 Current State: 100:[33, 67], Operations: ['84-51=33', '94-27=67'] Exploring Operation: 33+67=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 34, 31, 52, 94 ]
23
[ "34+31=65", "94-52=42", "65-42=23" ]
Current State: 23:[34, 31, 52, 94], Operations: [] Exploring Operation: 34+31=65, Resulting Numbers: [52, 94, 65] Generated Node #2: [52, 94, 65] from Operation: 34+31=65 Current State: 23:[52, 94, 65], Operations: ['34+31=65'] Exploring Operation: 94-52=42, Resulting Numbers: [65, 42] Generated Node #3: [65, 42] from Operation: 94-52=42 Current State: 23:[65, 42], Operations: ['34+31=65', '94-52=42'] Exploring Operation: 65-42=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 11, 9, 73, 99 ]
46
[ "11+9=20", "99-73=26", "20+26=46" ]
Current State: 46:[11, 9, 73, 99], Operations: [] Exploring Operation: 11+9=20, Resulting Numbers: [73, 99, 20] Generated Node #2: [73, 99, 20] from Operation: 11+9=20 Current State: 46:[73, 99, 20], Operations: ['11+9=20'] Exploring Operation: 99-73=26, Resulting Numbers: [20, 26] Generated Node #3: [20, 26] from Operation: 99-73=26 Current State: 46:[20, 26], Operations: ['11+9=20', '99-73=26'] Exploring Operation: 20+26=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 61, 92, 30, 4 ]
32
[ "61-30=31", "4*31=124", "124-92=32" ]
Current State: 32:[61, 92, 30, 4], Operations: [] Exploring Operation: 61-30=31, Resulting Numbers: [92, 4, 31] Generated Node #2: [92, 4, 31] from Operation: 61-30=31 Current State: 32:[92, 4, 31], Operations: ['61-30=31'] Exploring Operation: 4*31=124, Resulting Numbers: [92, 124] Generated Node #3: [92, 124] from Operation: 4*31=124 Current State: 32:[92, 124], Operations: ['61-30=31', '4*31=124'] Exploring Operation: 124-92=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 37, 14, 60, 97 ]
88
[ "37+14=51", "97-60=37", "51+37=88" ]
Current State: 88:[37, 14, 60, 97], Operations: [] Exploring Operation: 37+14=51, Resulting Numbers: [60, 97, 51] Generated Node #2: [60, 97, 51] from Operation: 37+14=51 Current State: 88:[60, 97, 51], Operations: ['37+14=51'] Exploring Operation: 97-60=37, Resulting Numbers: [51, 37] Generated Node #3: [51, 37] from Operation: 97-60=37 Current State: 88:[51, 37], Operations: ['37+14=51', '97-60=37'] Exploring Operation: 51+37=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 61, 23, 20, 23 ]
41
[ "61+23=84", "20+23=43", "84-43=41" ]
Current State: 41:[61, 23, 20, 23], Operations: [] Exploring Operation: 61+23=84, Resulting Numbers: [20, 84] Generated Node #2: [20, 84] from Operation: 61+23=84 Current State: 41:[20, 84], Operations: ['61+23=84'] Exploring Operation: 20+23=43, Resulting Numbers: [84, 43] Generated Node #3: [84, 43] from Operation: 20+23=43 Current State: 41:[84, 43], Operations: ['61+23=84', '20+23=43'] Exploring Operation: 84-43=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 50, 78, 31, 15 ]
45
[ "78-50=28", "31-28=3", "15*3=45" ]
Current State: 45:[50, 78, 31, 15], Operations: [] Exploring Operation: 78-50=28, Resulting Numbers: [31, 15, 28] Generated Node #2: [31, 15, 28] from Operation: 78-50=28 Current State: 45:[31, 15, 28], Operations: ['78-50=28'] Exploring Operation: 31-28=3, Resulting Numbers: [15, 3] Generated Node #3: [15, 3] from Operation: 31-28=3 Current State: 45:[15, 3], Operations: ['78-50=28', '31-28=3'] Exploring Operation: 15*3=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 58, 1, 2, 66 ]
52
[ "58+1=59", "2*59=118", "118-66=52" ]
Current State: 52:[58, 1, 2, 66], Operations: [] Exploring Operation: 58+1=59, Resulting Numbers: [2, 66, 59] Generated Node #2: [2, 66, 59] from Operation: 58+1=59 Current State: 52:[2, 66, 59], Operations: ['58+1=59'] Exploring Operation: 2*59=118, Resulting Numbers: [66, 118] Generated Node #3: [66, 118] from Operation: 2*59=118 Current State: 52:[66, 118], Operations: ['58+1=59', '2*59=118'] Exploring Operation: 118-66=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 5, 13, 7, 65 ]
80
[ "13-5=8", "7+65=72", "8+72=80" ]
Current State: 80:[5, 13, 7, 65], Operations: [] Exploring Operation: 13-5=8, Resulting Numbers: [7, 65, 8] Generated Node #2: [7, 65, 8] from Operation: 13-5=8 Current State: 80:[7, 65, 8], Operations: ['13-5=8'] Exploring Operation: 7+65=72, Resulting Numbers: [8, 72] Generated Node #3: [8, 72] from Operation: 7+65=72 Current State: 80:[8, 72], Operations: ['13-5=8', '7+65=72'] Exploring Operation: 8+72=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 21, 40, 42, 38 ]
55
[ "42-40=2", "38*2=76", "76-21=55" ]
Current State: 55:[21, 40, 42, 38], Operations: [] Exploring Operation: 42-40=2, Resulting Numbers: [21, 38, 2] Generated Node #2: [21, 38, 2] from Operation: 42-40=2 Current State: 55:[21, 38, 2], Operations: ['42-40=2'] Exploring Operation: 38*2=76, Resulting Numbers: [21, 76] Generated Node #3: [21, 76] from Operation: 38*2=76 Current State: 55:[21, 76], Operations: ['42-40=2', '38*2=76'] Exploring Operation: 76-21=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 42, 72, 82, 58 ]
90
[ "42+72=114", "82-58=24", "114-24=90" ]
Current State: 90:[42, 72, 82, 58], Operations: [] Exploring Operation: 42+72=114, Resulting Numbers: [82, 58, 114] Generated Node #2: [82, 58, 114] from Operation: 42+72=114 Current State: 90:[82, 58, 114], Operations: ['42+72=114'] Exploring Operation: 82-58=24, Resulting Numbers: [114, 24] Generated Node #3: [114, 24] from Operation: 82-58=24 Current State: 90:[114, 24], Operations: ['42+72=114', '82-58=24'] Exploring Operation: 114-24=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 5, 33, 52, 12 ]
35
[ "52-33=19", "19-12=7", "5*7=35" ]
Current State: 35:[5, 33, 52, 12], Operations: [] Exploring Operation: 52-33=19, Resulting Numbers: [5, 12, 19] Generated Node #2: [5, 12, 19] from Operation: 52-33=19 Current State: 35:[5, 12, 19], Operations: ['52-33=19'] Exploring Operation: 19-12=7, Resulting Numbers: [5, 7] Generated Node #3: [5, 7] from Operation: 19-12=7 Current State: 35:[5, 7], Operations: ['52-33=19', '19-12=7'] Exploring Operation: 5*7=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 12, 17, 6, 12 ]
41
[ "12/6=2", "12*2=24", "17+24=41" ]
Current State: 41:[12, 17, 6, 12], Operations: [] Exploring Operation: 12/6=2, Resulting Numbers: [17, 2] Generated Node #2: [17, 2] from Operation: 12/6=2 Current State: 41:[17, 2], Operations: ['12/6=2'] Exploring Operation: 12*2=24, Resulting Numbers: [17, 24] Generated Node #3: [17, 24] from Operation: 12*2=24 Current State: 41:[17, 24], Operations: ['12/6=2', '12*2=24'] Exploring Operation: 17+24=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 7, 34, 21, 89 ]
41
[ "34-7=27", "89-21=68", "68-27=41" ]
Current State: 41:[7, 34, 21, 89], Operations: [] Exploring Operation: 34-7=27, Resulting Numbers: [21, 89, 27] Generated Node #2: [21, 89, 27] from Operation: 34-7=27 Current State: 41:[21, 89, 27], Operations: ['34-7=27'] Exploring Operation: 89-21=68, Resulting Numbers: [27, 68] Generated Node #3: [27, 68] from Operation: 89-21=68 Current State: 41:[27, 68], Operations: ['34-7=27', '89-21=68'] Exploring Operation: 68-27=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 55, 77, 63, 25 ]
70
[ "55*63=3465", "3465/77=45", "25+45=70" ]
Current State: 70:[55, 77, 63, 25], Operations: [] Exploring Operation: 55*63=3465, Resulting Numbers: [77, 25, 3465] Generated Node #2: [77, 25, 3465] from Operation: 55*63=3465 Current State: 70:[77, 25, 3465], Operations: ['55*63=3465'] Exploring Operation: 3465/77=45, Resulting Numbers: [25, 45] Generated Node #3: [25, 45] from Operation: 3465/77=45 Current State: 70:[25, 45], Operations: ['55*63=3465', '3465/77=45'] Exploring Operation: 25+45=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 34, 53, 89, 90 ]
85
[ "34*90=3060", "89-53=36", "3060/36=85" ]
Current State: 85:[34, 53, 89, 90], Operations: [] Exploring Operation: 34*90=3060, Resulting Numbers: [53, 89, 3060] Generated Node #2: [53, 89, 3060] from Operation: 34*90=3060 Current State: 85:[53, 89, 3060], Operations: ['34*90=3060'] Exploring Operation: 89-53=36, Resulting Numbers: [3060, 36] Generated Node #3: [3060, 36] from Operation: 89-53=36 Current State: 85:[3060, 36], Operations: ['34*90=3060', '89-53=36'] Exploring Operation: 3060/36=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 11, 17, 58, 75 ]
54
[ "11*17=187", "58+75=133", "187-133=54" ]
Current State: 54:[11, 17, 58, 75], Operations: [] Exploring Operation: 11*17=187, Resulting Numbers: [58, 75, 187] Generated Node #2: [58, 75, 187] from Operation: 11*17=187 Current State: 54:[58, 75, 187], Operations: ['11*17=187'] Exploring Operation: 58+75=133, Resulting Numbers: [187, 133] Generated Node #3: [187, 133] from Operation: 58+75=133 Current State: 54:[187, 133], Operations: ['11*17=187', '58+75=133'] Exploring Operation: 187-133=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 8, 84, 3, 99 ]
79
[ "8+99=107", "84/3=28", "107-28=79" ]
Current State: 79:[8, 84, 3, 99], Operations: [] Exploring Operation: 8+99=107, Resulting Numbers: [84, 3, 107] Generated Node #2: [84, 3, 107] from Operation: 8+99=107 Current State: 79:[84, 3, 107], Operations: ['8+99=107'] Exploring Operation: 84/3=28, Resulting Numbers: [107, 28] Generated Node #3: [107, 28] from Operation: 84/3=28 Current State: 79:[107, 28], Operations: ['8+99=107', '84/3=28'] Exploring Operation: 107-28=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 26, 9, 52, 77 ]
10
[ "26+9=35", "77-52=25", "35-25=10" ]
Current State: 10:[26, 9, 52, 77], Operations: [] Exploring Operation: 26+9=35, Resulting Numbers: [52, 77, 35] Generated Node #2: [52, 77, 35] from Operation: 26+9=35 Current State: 10:[52, 77, 35], Operations: ['26+9=35'] Exploring Operation: 77-52=25, Resulting Numbers: [35, 25] Generated Node #3: [35, 25] from Operation: 77-52=25 Current State: 10:[35, 25], Operations: ['26+9=35', '77-52=25'] Exploring Operation: 35-25=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 21, 2, 93, 66 ]
96
[ "21+93=114", "114-66=48", "2*48=96" ]
Current State: 96:[21, 2, 93, 66], Operations: [] Exploring Operation: 21+93=114, Resulting Numbers: [2, 66, 114] Generated Node #2: [2, 66, 114] from Operation: 21+93=114 Current State: 96:[2, 66, 114], Operations: ['21+93=114'] Exploring Operation: 114-66=48, Resulting Numbers: [2, 48] Generated Node #3: [2, 48] from Operation: 114-66=48 Current State: 96:[2, 48], Operations: ['21+93=114', '114-66=48'] Exploring Operation: 2*48=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 74, 37, 72, 83 ]
100
[ "74+37=111", "83-72=11", "111-11=100" ]
Current State: 100:[74, 37, 72, 83], Operations: [] Exploring Operation: 74+37=111, Resulting Numbers: [72, 83, 111] Generated Node #2: [72, 83, 111] from Operation: 74+37=111 Current State: 100:[72, 83, 111], Operations: ['74+37=111'] Exploring Operation: 83-72=11, Resulting Numbers: [111, 11] Generated Node #3: [111, 11] from Operation: 83-72=11 Current State: 100:[111, 11], Operations: ['74+37=111', '83-72=11'] Exploring Operation: 111-11=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 12, 66, 6, 91 ]
97
[ "12*6=72", "91-66=25", "72+25=97" ]
Current State: 97:[12, 66, 6, 91], Operations: [] Exploring Operation: 12*6=72, Resulting Numbers: [66, 91, 72] Generated Node #2: [66, 91, 72] from Operation: 12*6=72 Current State: 97:[66, 91, 72], Operations: ['12*6=72'] Exploring Operation: 91-66=25, Resulting Numbers: [72, 25] Generated Node #3: [72, 25] from Operation: 91-66=25 Current State: 97:[72, 25], Operations: ['12*6=72', '91-66=25'] Exploring Operation: 72+25=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 12, 54, 57, 94 ]
85
[ "12+54=66", "57+94=151", "151-66=85" ]
Current State: 85:[12, 54, 57, 94], Operations: [] Exploring Operation: 12+54=66, Resulting Numbers: [57, 94, 66] Generated Node #2: [57, 94, 66] from Operation: 12+54=66 Current State: 85:[57, 94, 66], Operations: ['12+54=66'] Exploring Operation: 57+94=151, Resulting Numbers: [66, 151] Generated Node #3: [66, 151] from Operation: 57+94=151 Current State: 85:[66, 151], Operations: ['12+54=66', '57+94=151'] Exploring Operation: 151-66=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 77, 83, 91, 84 ]
35
[ "77*91=7007", "83*84=6972", "7007-6972=35" ]
Current State: 35:[77, 83, 91, 84], Operations: [] Exploring Operation: 77*91=7007, Resulting Numbers: [83, 84, 7007] Generated Node #2: [83, 84, 7007] from Operation: 77*91=7007 Current State: 35:[83, 84, 7007], Operations: ['77*91=7007'] Exploring Operation: 83*84=6972, Resulting Numbers: [7007, 6972] Generated Node #3: [7007, 6972] from Operation: 83*84=6972 Current State: 35:[7007, 6972], Operations: ['77*91=7007', '83*84=6972'] Exploring Operation: 7007-6972=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 74, 48, 7, 24 ]
44
[ "74*24=1776", "1776/48=37", "7+37=44" ]
Current State: 44:[74, 48, 7, 24], Operations: [] Exploring Operation: 74*24=1776, Resulting Numbers: [48, 7, 1776] Generated Node #2: [48, 7, 1776] from Operation: 74*24=1776 Current State: 44:[48, 7, 1776], Operations: ['74*24=1776'] Exploring Operation: 1776/48=37, Resulting Numbers: [7, 37] Generated Node #3: [7, 37] from Operation: 1776/48=37 Current State: 44:[7, 37], Operations: ['74*24=1776', '1776/48=37'] Exploring Operation: 7+37=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 88, 4, 86, 64 ]
18
[ "88-86=2", "64/4=16", "2+16=18" ]
Current State: 18:[88, 4, 86, 64], Operations: [] Exploring Operation: 88-86=2, Resulting Numbers: [4, 64, 2] Generated Node #2: [4, 64, 2] from Operation: 88-86=2 Current State: 18:[4, 64, 2], Operations: ['88-86=2'] Exploring Operation: 64/4=16, Resulting Numbers: [2, 16] Generated Node #3: [2, 16] from Operation: 64/4=16 Current State: 18:[2, 16], Operations: ['88-86=2', '64/4=16'] Exploring Operation: 2+16=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 17, 69, 43, 68 ]
61
[ "17+69=86", "68-43=25", "86-25=61" ]
Current State: 61:[17, 69, 43, 68], Operations: [] Exploring Operation: 17+69=86, Resulting Numbers: [43, 68, 86] Generated Node #2: [43, 68, 86] from Operation: 17+69=86 Current State: 61:[43, 68, 86], Operations: ['17+69=86'] Exploring Operation: 68-43=25, Resulting Numbers: [86, 25] Generated Node #3: [86, 25] from Operation: 68-43=25 Current State: 61:[86, 25], Operations: ['17+69=86', '68-43=25'] Exploring Operation: 86-25=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 33, 48, 72, 82 ]
91
[ "33+48=81", "82-72=10", "81+10=91" ]
Current State: 91:[33, 48, 72, 82], Operations: [] Exploring Operation: 33+48=81, Resulting Numbers: [72, 82, 81] Generated Node #2: [72, 82, 81] from Operation: 33+48=81 Current State: 91:[72, 82, 81], Operations: ['33+48=81'] Exploring Operation: 82-72=10, Resulting Numbers: [81, 10] Generated Node #3: [81, 10] from Operation: 82-72=10 Current State: 91:[81, 10], Operations: ['33+48=81', '82-72=10'] Exploring Operation: 81+10=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 8, 19, 28, 74 ]
74
[ "8+19=27", "28-27=1", "74*1=74" ]
Current State: 74:[8, 19, 28, 74], Operations: [] Exploring Operation: 8+19=27, Resulting Numbers: [28, 74, 27] Generated Node #2: [28, 74, 27] from Operation: 8+19=27 Current State: 74:[28, 74, 27], Operations: ['8+19=27'] Exploring Operation: 28-27=1, Resulting Numbers: [74, 1] Generated Node #3: [74, 1] from Operation: 28-27=1 Current State: 74:[74, 1], Operations: ['8+19=27', '28-27=1'] Exploring Operation: 74*1=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 42, 68, 22, 82 ]
77
[ "42+68=110", "110/22=5", "82-5=77" ]
Current State: 77:[42, 68, 22, 82], Operations: [] Exploring Operation: 42+68=110, Resulting Numbers: [22, 82, 110] Generated Node #2: [22, 82, 110] from Operation: 42+68=110 Current State: 77:[22, 82, 110], Operations: ['42+68=110'] Exploring Operation: 110/22=5, Resulting Numbers: [82, 5] Generated Node #3: [82, 5] from Operation: 110/22=5 Current State: 77:[82, 5], Operations: ['42+68=110', '110/22=5'] Exploring Operation: 82-5=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 74, 47, 11, 11 ]
49
[ "74-47=27", "11+11=22", "27+22=49" ]
Current State: 49:[74, 47, 11, 11], Operations: [] Exploring Operation: 74-47=27, Resulting Numbers: [11, 11, 27] Generated Node #2: [11, 11, 27] from Operation: 74-47=27 Current State: 49:[11, 11, 27], Operations: ['74-47=27'] Exploring Operation: 11+11=22, Resulting Numbers: [27, 22] Generated Node #3: [27, 22] from Operation: 11+11=22 Current State: 49:[27, 22], Operations: ['74-47=27', '11+11=22'] Exploring Operation: 27+22=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 17, 57, 52, 54 ]
66
[ "57-17=40", "52+54=106", "106-40=66" ]
Current State: 66:[17, 57, 52, 54], Operations: [] Exploring Operation: 57-17=40, Resulting Numbers: [52, 54, 40] Generated Node #2: [52, 54, 40] from Operation: 57-17=40 Current State: 66:[52, 54, 40], Operations: ['57-17=40'] Exploring Operation: 52+54=106, Resulting Numbers: [40, 106] Generated Node #3: [40, 106] from Operation: 52+54=106 Current State: 66:[40, 106], Operations: ['57-17=40', '52+54=106'] Exploring Operation: 106-40=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 95, 62, 85, 12 ]
77
[ "95+85=180", "180/12=15", "62+15=77" ]
Current State: 77:[95, 62, 85, 12], Operations: [] Exploring Operation: 95+85=180, Resulting Numbers: [62, 12, 180] Generated Node #2: [62, 12, 180] from Operation: 95+85=180 Current State: 77:[62, 12, 180], Operations: ['95+85=180'] Exploring Operation: 180/12=15, Resulting Numbers: [62, 15] Generated Node #3: [62, 15] from Operation: 180/12=15 Current State: 77:[62, 15], Operations: ['95+85=180', '180/12=15'] Exploring Operation: 62+15=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 95, 79, 98, 64 ]
69
[ "98-79=19", "95/19=5", "64+5=69" ]
Current State: 69:[95, 79, 98, 64], Operations: [] Exploring Operation: 98-79=19, Resulting Numbers: [95, 64, 19] Generated Node #2: [95, 64, 19] from Operation: 98-79=19 Current State: 69:[95, 64, 19], Operations: ['98-79=19'] Exploring Operation: 95/19=5, Resulting Numbers: [64, 5] Generated Node #3: [64, 5] from Operation: 95/19=5 Current State: 69:[64, 5], Operations: ['98-79=19', '95/19=5'] Exploring Operation: 64+5=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 21, 11, 48, 51 ]
34
[ "21+11=32", "51*32=1632", "1632/48=34" ]
Current State: 34:[21, 11, 48, 51], Operations: [] Exploring Operation: 21+11=32, Resulting Numbers: [48, 51, 32] Generated Node #2: [48, 51, 32] from Operation: 21+11=32 Current State: 34:[48, 51, 32], Operations: ['21+11=32'] Exploring Operation: 51*32=1632, Resulting Numbers: [48, 1632] Generated Node #3: [48, 1632] from Operation: 51*32=1632 Current State: 34:[48, 1632], Operations: ['21+11=32', '51*32=1632'] Exploring Operation: 1632/48=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 78, 45, 68, 26 ]
75
[ "78-45=33", "68-26=42", "33+42=75" ]
Current State: 75:[78, 45, 68, 26], Operations: [] Exploring Operation: 78-45=33, Resulting Numbers: [68, 26, 33] Generated Node #2: [68, 26, 33] from Operation: 78-45=33 Current State: 75:[68, 26, 33], Operations: ['78-45=33'] Exploring Operation: 68-26=42, Resulting Numbers: [33, 42] Generated Node #3: [33, 42] from Operation: 68-26=42 Current State: 75:[33, 42], Operations: ['78-45=33', '68-26=42'] Exploring Operation: 33+42=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 10, 25, 38, 87 ]
84
[ "10+25=35", "87-38=49", "35+49=84" ]
Current State: 84:[10, 25, 38, 87], Operations: [] Exploring Operation: 10+25=35, Resulting Numbers: [38, 87, 35] Generated Node #2: [38, 87, 35] from Operation: 10+25=35 Current State: 84:[38, 87, 35], Operations: ['10+25=35'] Exploring Operation: 87-38=49, Resulting Numbers: [35, 49] Generated Node #3: [35, 49] from Operation: 87-38=49 Current State: 84:[35, 49], Operations: ['10+25=35', '87-38=49'] Exploring Operation: 35+49=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 16, 65, 38, 13 ]
27
[ "38-16=22", "65/13=5", "22+5=27" ]
Current State: 27:[16, 65, 38, 13], Operations: [] Exploring Operation: 38-16=22, Resulting Numbers: [65, 13, 22] Generated Node #2: [65, 13, 22] from Operation: 38-16=22 Current State: 27:[65, 13, 22], Operations: ['38-16=22'] Exploring Operation: 65/13=5, Resulting Numbers: [22, 5] Generated Node #3: [22, 5] from Operation: 65/13=5 Current State: 27:[22, 5], Operations: ['38-16=22', '65/13=5'] Exploring Operation: 22+5=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 29, 3, 8, 38 ]
11
[ "38-29=9", "9/3=3", "8+3=11" ]
Current State: 11:[29, 3, 8, 38], Operations: [] Exploring Operation: 38-29=9, Resulting Numbers: [3, 8, 9] Generated Node #2: [3, 8, 9] from Operation: 38-29=9 Current State: 11:[3, 8, 9], Operations: ['38-29=9'] Exploring Operation: 9/3=3, Resulting Numbers: [8, 3] Generated Node #3: [8, 3] from Operation: 9/3=3 Current State: 11:[8, 3], Operations: ['38-29=9', '9/3=3'] Exploring Operation: 8+3=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 93, 3, 93, 15 ]
48
[ "93/93=1", "15+1=16", "3*16=48" ]
Current State: 48:[93, 3, 93, 15], Operations: [] Exploring Operation: 93/93=1, Resulting Numbers: [3, 15, 1] Generated Node #2: [3, 15, 1] from Operation: 93/93=1 Current State: 48:[3, 15, 1], Operations: ['93/93=1'] Exploring Operation: 15+1=16, Resulting Numbers: [3, 16] Generated Node #3: [3, 16] from Operation: 15+1=16 Current State: 48:[3, 16], Operations: ['93/93=1', '15+1=16'] Exploring Operation: 3*16=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 30, 41, 42, 83 ]
52
[ "41-30=11", "83-42=41", "11+41=52" ]
Current State: 52:[30, 41, 42, 83], Operations: [] Exploring Operation: 41-30=11, Resulting Numbers: [42, 83, 11] Generated Node #2: [42, 83, 11] from Operation: 41-30=11 Current State: 52:[42, 83, 11], Operations: ['41-30=11'] Exploring Operation: 83-42=41, Resulting Numbers: [11, 41] Generated Node #3: [11, 41] from Operation: 83-42=41 Current State: 52:[11, 41], Operations: ['41-30=11', '83-42=41'] Exploring Operation: 11+41=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 98, 37, 55, 49 ]
90
[ "98/49=2", "37+55=92", "92-2=90" ]
Current State: 90:[98, 37, 55, 49], Operations: [] Exploring Operation: 98/49=2, Resulting Numbers: [37, 55, 2] Generated Node #2: [37, 55, 2] from Operation: 98/49=2 Current State: 90:[37, 55, 2], Operations: ['98/49=2'] Exploring Operation: 37+55=92, Resulting Numbers: [2, 92] Generated Node #3: [2, 92] from Operation: 37+55=92 Current State: 90:[2, 92], Operations: ['98/49=2', '37+55=92'] Exploring Operation: 92-2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 14, 65, 19, 17 ]
37
[ "19-17=2", "14*2=28", "65-28=37" ]
Current State: 37:[14, 65, 19, 17], Operations: [] Exploring Operation: 19-17=2, Resulting Numbers: [14, 65, 2] Generated Node #2: [14, 65, 2] from Operation: 19-17=2 Current State: 37:[14, 65, 2], Operations: ['19-17=2'] Exploring Operation: 14*2=28, Resulting Numbers: [65, 28] Generated Node #3: [65, 28] from Operation: 14*2=28 Current State: 37:[65, 28], Operations: ['19-17=2', '14*2=28'] Exploring Operation: 65-28=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 23, 94, 78, 7 ]
89
[ "94-78=16", "7*16=112", "112-23=89" ]
Current State: 89:[23, 94, 78, 7], Operations: [] Exploring Operation: 94-78=16, Resulting Numbers: [23, 7, 16] Generated Node #2: [23, 7, 16] from Operation: 94-78=16 Current State: 89:[23, 7, 16], Operations: ['94-78=16'] Exploring Operation: 7*16=112, Resulting Numbers: [23, 112] Generated Node #3: [23, 112] from Operation: 7*16=112 Current State: 89:[23, 112], Operations: ['94-78=16', '7*16=112'] Exploring Operation: 112-23=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 33, 53, 85, 66 ]
25
[ "33*66=2178", "2178-53=2125", "2125/85=25" ]
Current State: 25:[33, 53, 85, 66], Operations: [] Exploring Operation: 33*66=2178, Resulting Numbers: [53, 85, 2178] Generated Node #2: [53, 85, 2178] from Operation: 33*66=2178 Current State: 25:[53, 85, 2178], Operations: ['33*66=2178'] Exploring Operation: 2178-53=2125, Resulting Numbers: [85, 2125] Generated Node #3: [85, 2125] from Operation: 2178-53=2125 Current State: 25:[85, 2125], Operations: ['33*66=2178', '2178-53=2125'] Exploring Operation: 2125/85=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 7, 98, 75, 80 ]
63
[ "80-75=5", "7*5=35", "98-35=63" ]
Current State: 63:[7, 98, 75, 80], Operations: [] Exploring Operation: 80-75=5, Resulting Numbers: [7, 98, 5] Generated Node #2: [7, 98, 5] from Operation: 80-75=5 Current State: 63:[7, 98, 5], Operations: ['80-75=5'] Exploring Operation: 7*5=35, Resulting Numbers: [98, 35] Generated Node #3: [98, 35] from Operation: 7*5=35 Current State: 63:[98, 35], Operations: ['80-75=5', '7*5=35'] Exploring Operation: 98-35=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 42, 5, 34, 58 ]
71
[ "42+5=47", "58-34=24", "47+24=71" ]
Current State: 71:[42, 5, 34, 58], Operations: [] Exploring Operation: 42+5=47, Resulting Numbers: [34, 58, 47] Generated Node #2: [34, 58, 47] from Operation: 42+5=47 Current State: 71:[34, 58, 47], Operations: ['42+5=47'] Exploring Operation: 58-34=24, Resulting Numbers: [47, 24] Generated Node #3: [47, 24] from Operation: 58-34=24 Current State: 71:[47, 24], Operations: ['42+5=47', '58-34=24'] Exploring Operation: 47+24=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 8, 11, 38, 27 ]
54
[ "8+11=19", "38*27=1026", "1026/19=54" ]
Current State: 54:[8, 11, 38, 27], Operations: [] Exploring Operation: 8+11=19, Resulting Numbers: [38, 27, 19] Generated Node #2: [38, 27, 19] from Operation: 8+11=19 Current State: 54:[38, 27, 19], Operations: ['8+11=19'] Exploring Operation: 38*27=1026, Resulting Numbers: [19, 1026] Generated Node #3: [19, 1026] from Operation: 38*27=1026 Current State: 54:[19, 1026], Operations: ['8+11=19', '38*27=1026'] Exploring Operation: 1026/19=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 57, 2, 35, 17 ]
29
[ "57+35=92", "92/2=46", "46-17=29" ]
Current State: 29:[57, 2, 35, 17], Operations: [] Exploring Operation: 57+35=92, Resulting Numbers: [2, 17, 92] Generated Node #2: [2, 17, 92] from Operation: 57+35=92 Current State: 29:[2, 17, 92], Operations: ['57+35=92'] Exploring Operation: 92/2=46, Resulting Numbers: [17, 46] Generated Node #3: [17, 46] from Operation: 92/2=46 Current State: 29:[17, 46], Operations: ['57+35=92', '92/2=46'] Exploring Operation: 46-17=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 14, 25, 54, 45 ]
48
[ "14+25=39", "54-45=9", "39+9=48" ]
Current State: 48:[14, 25, 54, 45], Operations: [] Exploring Operation: 14+25=39, Resulting Numbers: [54, 45, 39] Generated Node #2: [54, 45, 39] from Operation: 14+25=39 Current State: 48:[54, 45, 39], Operations: ['14+25=39'] Exploring Operation: 54-45=9, Resulting Numbers: [39, 9] Generated Node #3: [39, 9] from Operation: 54-45=9 Current State: 48:[39, 9], Operations: ['14+25=39', '54-45=9'] Exploring Operation: 39+9=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 76, 32, 39, 90 ]
84
[ "76*39=2964", "32*90=2880", "2964-2880=84" ]
Current State: 84:[76, 32, 39, 90], Operations: [] Exploring Operation: 76*39=2964, Resulting Numbers: [32, 90, 2964] Generated Node #2: [32, 90, 2964] from Operation: 76*39=2964 Current State: 84:[32, 90, 2964], Operations: ['76*39=2964'] Exploring Operation: 32*90=2880, Resulting Numbers: [2964, 2880] Generated Node #3: [2964, 2880] from Operation: 32*90=2880 Current State: 84:[2964, 2880], Operations: ['76*39=2964', '32*90=2880'] Exploring Operation: 2964-2880=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 16, 54, 87, 78 ]
96
[ "16*54=864", "87-78=9", "864/9=96" ]
Current State: 96:[16, 54, 87, 78], Operations: [] Exploring Operation: 16*54=864, Resulting Numbers: [87, 78, 864] Generated Node #2: [87, 78, 864] from Operation: 16*54=864 Current State: 96:[87, 78, 864], Operations: ['16*54=864'] Exploring Operation: 87-78=9, Resulting Numbers: [864, 9] Generated Node #3: [864, 9] from Operation: 87-78=9 Current State: 96:[864, 9], Operations: ['16*54=864', '87-78=9'] Exploring Operation: 864/9=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 51, 13, 15, 70 ]
38
[ "70-51=19", "15-13=2", "19*2=38" ]
Current State: 38:[51, 13, 15, 70], Operations: [] Exploring Operation: 70-51=19, Resulting Numbers: [13, 15, 19] Generated Node #2: [13, 15, 19] from Operation: 70-51=19 Current State: 38:[13, 15, 19], Operations: ['70-51=19'] Exploring Operation: 15-13=2, Resulting Numbers: [19, 2] Generated Node #3: [19, 2] from Operation: 15-13=2 Current State: 38:[19, 2], Operations: ['70-51=19', '15-13=2'] Exploring Operation: 19*2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 95, 20, 8, 57 ]
66
[ "95+20=115", "57-8=49", "115-49=66" ]
Current State: 66:[95, 20, 8, 57], Operations: [] Exploring Operation: 95+20=115, Resulting Numbers: [8, 57, 115] Generated Node #2: [8, 57, 115] from Operation: 95+20=115 Current State: 66:[8, 57, 115], Operations: ['95+20=115'] Exploring Operation: 57-8=49, Resulting Numbers: [115, 49] Generated Node #3: [115, 49] from Operation: 57-8=49 Current State: 66:[115, 49], Operations: ['95+20=115', '57-8=49'] Exploring Operation: 115-49=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 52, 81, 18, 22 ]
69
[ "81-52=29", "18+22=40", "29+40=69" ]
Current State: 69:[52, 81, 18, 22], Operations: [] Exploring Operation: 81-52=29, Resulting Numbers: [18, 22, 29] Generated Node #2: [18, 22, 29] from Operation: 81-52=29 Current State: 69:[18, 22, 29], Operations: ['81-52=29'] Exploring Operation: 18+22=40, Resulting Numbers: [29, 40] Generated Node #3: [29, 40] from Operation: 18+22=40 Current State: 69:[29, 40], Operations: ['81-52=29', '18+22=40'] Exploring Operation: 29+40=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 51, 44, 75, 48 ]
22
[ "75-51=24", "44*24=1056", "1056/48=22" ]
Current State: 22:[51, 44, 75, 48], Operations: [] Exploring Operation: 75-51=24, Resulting Numbers: [44, 48, 24] Generated Node #2: [44, 48, 24] from Operation: 75-51=24 Current State: 22:[44, 48, 24], Operations: ['75-51=24'] Exploring Operation: 44*24=1056, Resulting Numbers: [48, 1056] Generated Node #3: [48, 1056] from Operation: 44*24=1056 Current State: 22:[48, 1056], Operations: ['75-51=24', '44*24=1056'] Exploring Operation: 1056/48=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 52, 59, 73, 76 ]
21
[ "59-52=7", "76-73=3", "7*3=21" ]
Current State: 21:[52, 59, 73, 76], Operations: [] Exploring Operation: 59-52=7, Resulting Numbers: [73, 76, 7] Generated Node #2: [73, 76, 7] from Operation: 59-52=7 Current State: 21:[73, 76, 7], Operations: ['59-52=7'] Exploring Operation: 76-73=3, Resulting Numbers: [7, 3] Generated Node #3: [7, 3] from Operation: 76-73=3 Current State: 21:[7, 3], Operations: ['59-52=7', '76-73=3'] Exploring Operation: 7*3=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 10, 72, 57, 98 ]
21
[ "72-10=62", "98-57=41", "62-41=21" ]
Current State: 21:[10, 72, 57, 98], Operations: [] Exploring Operation: 72-10=62, Resulting Numbers: [57, 98, 62] Generated Node #2: [57, 98, 62] from Operation: 72-10=62 Current State: 21:[57, 98, 62], Operations: ['72-10=62'] Exploring Operation: 98-57=41, Resulting Numbers: [62, 41] Generated Node #3: [62, 41] from Operation: 98-57=41 Current State: 21:[62, 41], Operations: ['72-10=62', '98-57=41'] Exploring Operation: 62-41=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 32, 84, 22, 70 ]
24
[ "32+84=116", "22+70=92", "116-92=24" ]
Current State: 24:[32, 84, 22, 70], Operations: [] Exploring Operation: 32+84=116, Resulting Numbers: [22, 70, 116] Generated Node #2: [22, 70, 116] from Operation: 32+84=116 Current State: 24:[22, 70, 116], Operations: ['32+84=116'] Exploring Operation: 22+70=92, Resulting Numbers: [116, 92] Generated Node #3: [116, 92] from Operation: 22+70=92 Current State: 24:[116, 92], Operations: ['32+84=116', '22+70=92'] Exploring Operation: 116-92=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 93, 10, 16, 89 ]
56
[ "93-89=4", "10*4=40", "16+40=56" ]
Current State: 56:[93, 10, 16, 89], Operations: [] Exploring Operation: 93-89=4, Resulting Numbers: [10, 16, 4] Generated Node #2: [10, 16, 4] from Operation: 93-89=4 Current State: 56:[10, 16, 4], Operations: ['93-89=4'] Exploring Operation: 10*4=40, Resulting Numbers: [16, 40] Generated Node #3: [16, 40] from Operation: 10*4=40 Current State: 56:[16, 40], Operations: ['93-89=4', '10*4=40'] Exploring Operation: 16+40=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4