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nums
sequencelengths
4
4
target
int64
10
100
solution
sequencelengths
3
3
search_path
stringlengths
48
108k
rating
float64
0
1
search_type
stringclasses
6 values
optimal_path
stringlengths
361
529
heuristic
stringclasses
2 values
messages
listlengths
2
2
[ 90, 11, 37, 95 ]
55
[ "90+95=185", "11*185=2035", "2035/37=55" ]
Current State: 55:[90, 11, 37, 95], Operations: [] Exploring Operation: 95-90=5, Resulting Numbers: [11, 37, 5] Generated Node #0,0: 55:[11, 37, 5] Operation: 95-90=5 Moving to Node #0,0 Current State: 55:[11, 37, 5], Operations: ['95-90=5'] Exploring Operation: 11+37=48, Resulting Numbers: [5, 48] Generated Node #0,0,...
0
dfs
Current State: 55:[90, 11, 37, 95], Operations: [] Exploring Operation: 90+95=185, Resulting Numbers: [11, 37, 185] Generated Node #2: [11, 37, 185] from Operation: 90+95=185 Current State: 55:[11, 37, 185], Operations: ['90+95=185'] Exploring Operation: 11*185=2035, Resulting Numbers: [37, 2035] Generated Node #3: [37...
mult_heuristic
[ { "content": "Make 55 with the numbers [90, 11, 37, 95] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 55:[90, 11, 37, 95], Operations: []\nExploring Operation: 95-90=5, Resulting Numbers: [11, 37, 5]\nGenerated Node #0,0: 55:[11, 37, 5] Operation: 95-90=5\nMo...
[ 70, 63, 75, 32 ]
100
[ "70-63=7", "75+32=107", "107-7=100" ]
Current State: 100:[70, 63, 75, 32], Operations: [] Exploring Operation: 75-70=5, Resulting Numbers: [63, 32, 5] Generated Node #0,0: 100:[63, 32, 5] Operation: 75-70=5 Moving to Node #0,0 Current State: 100:[63, 32, 5], Operations: ['75-70=5'] Exploring Operation: 63+32=95, Resulting Numbers: [5, 95] Generated Node #0...
0.996528
dfs
Current State: 100:[70, 63, 75, 32], Operations: [] Exploring Operation: 70-63=7, Resulting Numbers: [75, 32, 7] Generated Node #2: [75, 32, 7] from Operation: 70-63=7 Current State: 100:[75, 32, 7], Operations: ['70-63=7'] Exploring Operation: 75+32=107, Resulting Numbers: [7, 107] Generated Node #3: [7, 107] from Ope...
mult_heuristic
[ { "content": "Make 100 with the numbers [70, 63, 75, 32] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 100:[70, 63, 75, 32], Operations: []\nExploring Operation: 75-70=5, Resulting Numbers: [63, 32, 5]\nGenerated Node #0,0: 100:[63, 32, 5] Operation: 75-70=5\...
[ 5, 5, 33, 33 ]
76
[ "5+5=10", "33+33=66", "10+66=76" ]
Current State: 76:[5, 5, 33, 33], Operations: [] Exploring Operation: 5*5=25, Resulting Numbers: [33, 33, 25] Generated Node #0,0: 76:[33, 33, 25] Operation: 5*5=25 Moving to Node #0,0 Current State: 76:[33, 33, 25], Operations: ['5*5=25'] Exploring Operation: 33+33=66, Resulting Numbers: [25, 66] Generated Node #0,0,0...
0.974826
dfs
Current State: 76:[5, 5, 33, 33], Operations: [] Exploring Operation: 5+5=10, Resulting Numbers: [33, 33, 10] Generated Node #2: [33, 33, 10] from Operation: 5+5=10 Current State: 76:[33, 33, 10], Operations: ['5+5=10'] Exploring Operation: 33+33=66, Resulting Numbers: [10, 66] Generated Node #3: [10, 66] from Operatio...
sum_heuristic
[ { "content": "Make 76 with the numbers [5, 5, 33, 33] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 76:[5, 5, 33, 33], Operations: []\nExploring Operation: 5*5=25, Resulting Numbers: [33, 33, 25]\nGenerated Node #0,0: 76:[33, 33, 25] Operation: 5*5=25\nMoving...
[ 34, 19, 42, 7 ]
28
[ "34+42=76", "76/19=4", "7*4=28" ]
Current State: 28:[34, 19, 42, 7], Operations: [] Exploring Operation: 42-34=8, Resulting Numbers: [19, 7, 8] Generated Node #0,0: 28:[19, 7, 8] Operation: 42-34=8 Moving to Node #0,0 Current State: 28:[19, 7, 8], Operations: ['42-34=8'] Exploring Operation: 19+8=27, Resulting Numbers: [7, 27] Generated Node #0,0,0: 28...
0
dfs
Current State: 28:[34, 19, 42, 7], Operations: [] Exploring Operation: 34+42=76, Resulting Numbers: [19, 7, 76] Generated Node #2: [19, 7, 76] from Operation: 34+42=76 Current State: 28:[19, 7, 76], Operations: ['34+42=76'] Exploring Operation: 76/19=4, Resulting Numbers: [7, 4] Generated Node #3: [7, 4] from Operation...
mult_heuristic
[ { "content": "Make 28 with the numbers [34, 19, 42, 7] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 28:[34, 19, 42, 7], Operations: []\nExploring Operation: 42-34=8, Resulting Numbers: [19, 7, 8]\nGenerated Node #0,0: 28:[19, 7, 8] Operation: 42-34=8\nMoving...
[ 64, 50, 12, 56 ]
70
[ "64+50=114", "56-12=44", "114-44=70" ]
Current State: 70:[64, 50, 12, 56], Operations: [] Exploring Operation: 50+12=62, Resulting Numbers: [64, 56, 62] Generated Node #0,0: 70:[64, 56, 62] Operation: 50+12=62 Moving to Node #0,0 Current State: 70:[64, 56, 62], Operations: ['50+12=62'] Exploring Operation: 56+62=118, Resulting Numbers: [64, 118] Generated N...
0.993056
dfs
Current State: 70:[64, 50, 12, 56], Operations: [] Exploring Operation: 64+50=114, Resulting Numbers: [12, 56, 114] Generated Node #2: [12, 56, 114] from Operation: 64+50=114 Current State: 70:[12, 56, 114], Operations: ['64+50=114'] Exploring Operation: 56-12=44, Resulting Numbers: [114, 44] Generated Node #3: [114, 4...
sum_heuristic
[ { "content": "Make 70 with the numbers [64, 50, 12, 56] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 70:[64, 50, 12, 56], Operations: []\nExploring Operation: 50+12=62, Resulting Numbers: [64, 56, 62]\nGenerated Node #0,0: 70:[64, 56, 62] Operation: 50+12=62...
[ 86, 8, 22, 89 ]
58
[ "89-86=3", "22*3=66", "66-8=58" ]
Current State: 58:[86, 8, 22, 89], Operations: [] Exploring Operation: 86-22=64, Resulting Numbers: [8, 89, 64] Generated Node #0,0: 58:[8, 89, 64] Operation: 86-22=64 Exploring Operation: 89-22=67, Resulting Numbers: [86, 8, 67] Generated Node #0,1: 58:[86, 8, 67] Operation: 89-22=67 Exploring Operation: 89-86=3, Resu...
0
bfs_4
Current State: 58:[86, 8, 22, 89], Operations: [] Exploring Operation: 89-86=3, Resulting Numbers: [8, 22, 3] Generated Node #2: [8, 22, 3] from Operation: 89-86=3 Current State: 58:[8, 22, 3], Operations: ['89-86=3'] Exploring Operation: 22*3=66, Resulting Numbers: [8, 66] Generated Node #3: [8, 66] from Operation: 22...
mult_heuristic
[ { "content": "Make 58 with the numbers [86, 8, 22, 89] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 58:[86, 8, 22, 89], Operations: []\nExploring Operation: 86-22=64, Resulting Numbers: [8, 89, 64]\nGenerated Node #0,0: 58:[8, 89, 64] Operation: 86-22=64\nEx...
[ 10, 67, 32, 53 ]
28
[ "67-10=57", "32+53=85", "85-57=28" ]
Current State: 28:[10, 67, 32, 53], Operations: [] Exploring Operation: 67-32=35, Resulting Numbers: [10, 53, 35] Generated Node #0,0: 28:[10, 53, 35] Operation: 67-32=35 Exploring Operation: 67-53=14, Resulting Numbers: [10, 32, 14] Generated Node #0,1: 28:[10, 32, 14] Operation: 67-53=14 Moving to Node #0,1 Current S...
0.993056
bfs_2
Current State: 28:[10, 67, 32, 53], Operations: [] Exploring Operation: 67-10=57, Resulting Numbers: [32, 53, 57] Generated Node #2: [32, 53, 57] from Operation: 67-10=57 Current State: 28:[32, 53, 57], Operations: ['67-10=57'] Exploring Operation: 32+53=85, Resulting Numbers: [57, 85] Generated Node #3: [57, 85] from ...
mult_heuristic
[ { "content": "Make 28 with the numbers [10, 67, 32, 53] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 28:[10, 67, 32, 53], Operations: []\nExploring Operation: 67-32=35, Resulting Numbers: [10, 53, 35]\nGenerated Node #0,0: 28:[10, 53, 35] Operation: 67-32=35...
[ 45, 78, 40, 12 ]
61
[ "78-45=33", "40-12=28", "33+28=61" ]
Current State: 61:[45, 78, 40, 12], Operations: [] Exploring Operation: 45+12=57, Resulting Numbers: [78, 40, 57] Generated Node #0,0: 61:[78, 40, 57] Operation: 45+12=57 Exploring Operation: 78-12=66, Resulting Numbers: [45, 40, 66] Generated Node #0,1: 61:[45, 40, 66] Operation: 78-12=66 Moving to Node #0,0 Current S...
0
bfs_2
Current State: 61:[45, 78, 40, 12], Operations: [] Exploring Operation: 78-45=33, Resulting Numbers: [40, 12, 33] Generated Node #2: [40, 12, 33] from Operation: 78-45=33 Current State: 61:[40, 12, 33], Operations: ['78-45=33'] Exploring Operation: 40-12=28, Resulting Numbers: [33, 28] Generated Node #3: [33, 28] from ...
mult_heuristic
[ { "content": "Make 61 with the numbers [45, 78, 40, 12] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 61:[45, 78, 40, 12], Operations: []\nExploring Operation: 45+12=57, Resulting Numbers: [78, 40, 57]\nGenerated Node #0,0: 61:[78, 40, 57] Operation: 45+12=57...
[ 20, 28, 39, 62 ]
53
[ "20+28=48", "39+62=101", "101-48=53" ]
Current State: 53:[20, 28, 39, 62], Operations: [] Exploring Operation: 20+39=59, Resulting Numbers: [28, 62, 59] Generated Node #0,0: 53:[28, 62, 59] Operation: 20+39=59 Exploring Operation: 20+28=48, Resulting Numbers: [39, 62, 48] Generated Node #0,1: 53:[39, 62, 48] Operation: 20+28=48 Moving to Node #0,1 Current S...
0
bfs_2
Current State: 53:[20, 28, 39, 62], Operations: [] Exploring Operation: 20+28=48, Resulting Numbers: [39, 62, 48] Generated Node #2: [39, 62, 48] from Operation: 20+28=48 Current State: 53:[39, 62, 48], Operations: ['20+28=48'] Exploring Operation: 39+62=101, Resulting Numbers: [48, 101] Generated Node #3: [48, 101] fr...
sum_heuristic
[ { "content": "Make 53 with the numbers [20, 28, 39, 62] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 53:[20, 28, 39, 62], Operations: []\nExploring Operation: 20+39=59, Resulting Numbers: [28, 62, 59]\nGenerated Node #0,0: 53:[28, 62, 59] Operation: 20+39=59...
[ 21, 15, 78, 2 ]
69
[ "21+78=99", "15*2=30", "99-30=69" ]
Current State: 69:[21, 15, 78, 2], Operations: [] Exploring Operation: 21*2=42, Resulting Numbers: [15, 78, 42] Generated Node #0,0: 69:[15, 78, 42] Operation: 21*2=42 Moving to Node #0,0 Current State: 69:[15, 78, 42], Operations: ['21*2=42'] Exploring Operation: 15+42=57, Resulting Numbers: [78, 57] Generated Node #0...
0.973958
dfs
Current State: 69:[21, 15, 78, 2], Operations: [] Exploring Operation: 21+78=99, Resulting Numbers: [15, 2, 99] Generated Node #2: [15, 2, 99] from Operation: 21+78=99 Current State: 69:[15, 2, 99], Operations: ['21+78=99'] Exploring Operation: 15*2=30, Resulting Numbers: [99, 30] Generated Node #3: [99, 30] from Opera...
sum_heuristic
[ { "content": "Make 69 with the numbers [21, 15, 78, 2] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 69:[21, 15, 78, 2], Operations: []\nExploring Operation: 21*2=42, Resulting Numbers: [15, 78, 42]\nGenerated Node #0,0: 69:[15, 78, 42] Operation: 21*2=42\nMo...
[ 53, 77, 95, 5 ]
43
[ "77-53=24", "95/5=19", "24+19=43" ]
Current State: 43:[53, 77, 95, 5], Operations: [] Exploring Operation: 95/5=19, Resulting Numbers: [53, 77, 19] Generated Node #0,0: 43:[53, 77, 19] Operation: 95/5=19 Exploring Operation: 53-5=48, Resulting Numbers: [77, 95, 48] Generated Node #0,1: 43:[77, 95, 48] Operation: 53-5=48 Exploring Operation: 95-53=42, Res...
0.938368
bfs_5
Current State: 43:[53, 77, 95, 5], Operations: [] Exploring Operation: 77-53=24, Resulting Numbers: [95, 5, 24] Generated Node #2: [95, 5, 24] from Operation: 77-53=24 Current State: 43:[95, 5, 24], Operations: ['77-53=24'] Exploring Operation: 95/5=19, Resulting Numbers: [24, 19] Generated Node #3: [24, 19] from Opera...
sum_heuristic
[ { "content": "Make 43 with the numbers [53, 77, 95, 5] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 43:[53, 77, 95, 5], Operations: []\nExploring Operation: 95/5=19, Resulting Numbers: [53, 77, 19]\nGenerated Node #0,0: 43:[53, 77, 19] Operation: 95/5=19\nEx...
[ 66, 39, 72, 89 ]
56
[ "66+39=105", "72+89=161", "161-105=56" ]
Current State: 56:[66, 39, 72, 89], Operations: [] Exploring Operation: 89-72=17, Resulting Numbers: [66, 39, 17] Generated Node #0,0: 56:[66, 39, 17] Operation: 89-72=17 Moving to Node #0,0 Current State: 56:[66, 39, 17], Operations: ['89-72=17'] Exploring Operation: 66-39=27, Resulting Numbers: [17, 27] Generated Nod...
0.981771
dfs
Current State: 56:[66, 39, 72, 89], Operations: [] Exploring Operation: 66+39=105, Resulting Numbers: [72, 89, 105] Generated Node #2: [72, 89, 105] from Operation: 66+39=105 Current State: 56:[72, 89, 105], Operations: ['66+39=105'] Exploring Operation: 72+89=161, Resulting Numbers: [105, 161] Generated Node #3: [105,...
mult_heuristic
[ { "content": "Make 56 with the numbers [66, 39, 72, 89] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 56:[66, 39, 72, 89], Operations: []\nExploring Operation: 89-72=17, Resulting Numbers: [66, 39, 17]\nGenerated Node #0,0: 56:[66, 39, 17] Operation: 89-72=17...
[ 97, 99, 24, 87 ]
75
[ "99-97=2", "24/2=12", "87-12=75" ]
Current State: 75:[97, 99, 24, 87], Operations: [] Exploring Operation: 99-24=75, Resulting Numbers: [97, 87, 75] Generated Node #0,0: 75:[97, 87, 75] Operation: 99-24=75 Moving to Node #0,0 Current State: 75:[97, 87, 75], Operations: ['99-24=75'] Exploring Operation: 97-87=10, Resulting Numbers: [75, 10] Generated Nod...
0
bfs_1
Current State: 75:[97, 99, 24, 87], Operations: [] Exploring Operation: 99-97=2, Resulting Numbers: [24, 87, 2] Generated Node #2: [24, 87, 2] from Operation: 99-97=2 Current State: 75:[24, 87, 2], Operations: ['99-97=2'] Exploring Operation: 24/2=12, Resulting Numbers: [87, 12] Generated Node #3: [87, 12] from Operati...
sum_heuristic
[ { "content": "Make 75 with the numbers [97, 99, 24, 87] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 75:[97, 99, 24, 87], Operations: []\nExploring Operation: 99-24=75, Resulting Numbers: [97, 87, 75]\nGenerated Node #0,0: 75:[97, 87, 75] Operation: 99-24=75...
[ 28, 7, 7, 21 ]
48
[ "28+21=49", "7/7=1", "49-1=48" ]
Current State: 48:[28, 7, 7, 21], Operations: [] Exploring Operation: 28+7=35, Resulting Numbers: [7, 21, 35] Generated Node #0,0: 48:[7, 21, 35] Operation: 28+7=35 Exploring Operation: 28+7=35, Resulting Numbers: [7, 21, 35] Generated Node #0,1: 48:[7, 21, 35] Operation: 28+7=35 Exploring Operation: 7+7=14, Resulting ...
0
bfs_4
Current State: 48:[28, 7, 7, 21], Operations: [] Exploring Operation: 28+21=49, Resulting Numbers: [7, 7, 49] Generated Node #2: [7, 7, 49] from Operation: 28+21=49 Current State: 48:[7, 7, 49], Operations: ['28+21=49'] Exploring Operation: 7/7=1, Resulting Numbers: [49, 1] Generated Node #3: [49, 1] from Operation: 7/...
sum_heuristic
[ { "content": "Make 48 with the numbers [28, 7, 7, 21] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 48:[28, 7, 7, 21], Operations: []\nExploring Operation: 28+7=35, Resulting Numbers: [7, 21, 35]\nGenerated Node #0,0: 48:[7, 21, 35] Operation: 28+7=35\nExplor...
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