nums
listlengths 4
4
| target
int64 10
100
| solution
listlengths 3
3
| optimal_path
stringlengths 282
529
| start_size
int64 4
4
|
---|---|---|---|---|
[
28,
44,
14,
48
] | 21 |
[
"28+44=72",
"14*72=1008",
"1008/48=21"
] |
Current State: 21:[28, 44, 14, 48], Operations: []
Exploring Operation: 28+44=72, Resulting Numbers: [14, 48, 72]
Generated Node #2: [14, 48, 72] from Operation: 28+44=72
Current State: 21:[14, 48, 72], Operations: ['28+44=72']
Exploring Operation: 14*72=1008, Resulting Numbers: [48, 1008]
Generated Node #3: [48, 1008] from Operation: 14*72=1008
Current State: 21:[48, 1008], Operations: ['28+44=72', '14*72=1008']
Exploring Operation: 1008/48=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
64,
82,
59,
72
] | 63 |
[
"82-64=18",
"72/18=4",
"59+4=63"
] |
Current State: 63:[64, 82, 59, 72], Operations: []
Exploring Operation: 82-64=18, Resulting Numbers: [59, 72, 18]
Generated Node #2: [59, 72, 18] from Operation: 82-64=18
Current State: 63:[59, 72, 18], Operations: ['82-64=18']
Exploring Operation: 72/18=4, Resulting Numbers: [59, 4]
Generated Node #3: [59, 4] from Operation: 72/18=4
Current State: 63:[59, 4], Operations: ['82-64=18', '72/18=4']
Exploring Operation: 59+4=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
68,
12,
95,
60
] | 49 |
[
"12*95=1140",
"1140/60=19",
"68-19=49"
] |
Current State: 49:[68, 12, 95, 60], Operations: []
Exploring Operation: 12*95=1140, Resulting Numbers: [68, 60, 1140]
Generated Node #2: [68, 60, 1140] from Operation: 12*95=1140
Current State: 49:[68, 60, 1140], Operations: ['12*95=1140']
Exploring Operation: 1140/60=19, Resulting Numbers: [68, 19]
Generated Node #3: [68, 19] from Operation: 1140/60=19
Current State: 49:[68, 19], Operations: ['12*95=1140', '1140/60=19']
Exploring Operation: 68-19=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
61,
48,
55,
89
] | 75 |
[
"61+48=109",
"89-55=34",
"109-34=75"
] |
Current State: 75:[61, 48, 55, 89], Operations: []
Exploring Operation: 61+48=109, Resulting Numbers: [55, 89, 109]
Generated Node #2: [55, 89, 109] from Operation: 61+48=109
Current State: 75:[55, 89, 109], Operations: ['61+48=109']
Exploring Operation: 89-55=34, Resulting Numbers: [109, 34]
Generated Node #3: [109, 34] from Operation: 89-55=34
Current State: 75:[109, 34], Operations: ['61+48=109', '89-55=34']
Exploring Operation: 109-34=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
7,
27,
36,
29
] | 28 |
[
"36-7=29",
"29/29=1",
"27+1=28"
] |
Current State: 28:[7, 27, 36, 29], Operations: []
Exploring Operation: 36-7=29, Resulting Numbers: [27, 29, 29]
Generated Node #2: [27, 29, 29] from Operation: 36-7=29
Current State: 28:[27, 29, 29], Operations: ['36-7=29']
Exploring Operation: 29/29=1, Resulting Numbers: [27, 1]
Generated Node #3: [27, 1] from Operation: 29/29=1
Current State: 28:[27, 1], Operations: ['36-7=29', '29/29=1']
Exploring Operation: 27+1=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
50,
94,
22,
70
] | 25 |
[
"94-22=72",
"72-70=2",
"50/2=25"
] |
Current State: 25:[50, 94, 22, 70], Operations: []
Exploring Operation: 94-22=72, Resulting Numbers: [50, 70, 72]
Generated Node #2: [50, 70, 72] from Operation: 94-22=72
Current State: 25:[50, 70, 72], Operations: ['94-22=72']
Exploring Operation: 72-70=2, Resulting Numbers: [50, 2]
Generated Node #3: [50, 2] from Operation: 72-70=2
Current State: 25:[50, 2], Operations: ['94-22=72', '72-70=2']
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
64,
55,
78,
51
] | 62 |
[
"55-51=4",
"64/4=16",
"78-16=62"
] |
Current State: 62:[64, 55, 78, 51], Operations: []
Exploring Operation: 55-51=4, Resulting Numbers: [64, 78, 4]
Generated Node #2: [64, 78, 4] from Operation: 55-51=4
Current State: 62:[64, 78, 4], Operations: ['55-51=4']
Exploring Operation: 64/4=16, Resulting Numbers: [78, 16]
Generated Node #3: [78, 16] from Operation: 64/4=16
Current State: 62:[78, 16], Operations: ['55-51=4', '64/4=16']
Exploring Operation: 78-16=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
13,
64,
2,
38
] | 25 |
[
"64-13=51",
"2*38=76",
"76-51=25"
] |
Current State: 25:[13, 64, 2, 38], Operations: []
Exploring Operation: 64-13=51, Resulting Numbers: [2, 38, 51]
Generated Node #2: [2, 38, 51] from Operation: 64-13=51
Current State: 25:[2, 38, 51], Operations: ['64-13=51']
Exploring Operation: 2*38=76, Resulting Numbers: [51, 76]
Generated Node #3: [51, 76] from Operation: 2*38=76
Current State: 25:[51, 76], Operations: ['64-13=51', '2*38=76']
Exploring Operation: 76-51=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
13,
24,
93,
10
] | 66 |
[
"13+24=37",
"93+10=103",
"103-37=66"
] |
Current State: 66:[13, 24, 93, 10], Operations: []
Exploring Operation: 13+24=37, Resulting Numbers: [93, 10, 37]
Generated Node #2: [93, 10, 37] from Operation: 13+24=37
Current State: 66:[93, 10, 37], Operations: ['13+24=37']
Exploring Operation: 93+10=103, Resulting Numbers: [37, 103]
Generated Node #3: [37, 103] from Operation: 93+10=103
Current State: 66:[37, 103], Operations: ['13+24=37', '93+10=103']
Exploring Operation: 103-37=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
68,
50,
9,
27
] | 100 |
[
"68+50=118",
"27-9=18",
"118-18=100"
] |
Current State: 100:[68, 50, 9, 27], Operations: []
Exploring Operation: 68+50=118, Resulting Numbers: [9, 27, 118]
Generated Node #2: [9, 27, 118] from Operation: 68+50=118
Current State: 100:[9, 27, 118], Operations: ['68+50=118']
Exploring Operation: 27-9=18, Resulting Numbers: [118, 18]
Generated Node #3: [118, 18] from Operation: 27-9=18
Current State: 100:[118, 18], Operations: ['68+50=118', '27-9=18']
Exploring Operation: 118-18=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
3,
67,
9,
2
] | 46 |
[
"67-3=64",
"9*2=18",
"64-18=46"
] |
Current State: 46:[3, 67, 9, 2], Operations: []
Exploring Operation: 67-3=64, Resulting Numbers: [9, 2, 64]
Generated Node #2: [9, 2, 64] from Operation: 67-3=64
Current State: 46:[9, 2, 64], Operations: ['67-3=64']
Exploring Operation: 9*2=18, Resulting Numbers: [64, 18]
Generated Node #3: [64, 18] from Operation: 9*2=18
Current State: 46:[64, 18], Operations: ['67-3=64', '9*2=18']
Exploring Operation: 64-18=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
15,
66,
42,
32
] | 20 |
[
"15*32=480",
"66-42=24",
"480/24=20"
] |
Current State: 20:[15, 66, 42, 32], Operations: []
Exploring Operation: 15*32=480, Resulting Numbers: [66, 42, 480]
Generated Node #2: [66, 42, 480] from Operation: 15*32=480
Current State: 20:[66, 42, 480], Operations: ['15*32=480']
Exploring Operation: 66-42=24, Resulting Numbers: [480, 24]
Generated Node #3: [480, 24] from Operation: 66-42=24
Current State: 20:[480, 24], Operations: ['15*32=480', '66-42=24']
Exploring Operation: 480/24=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
59,
10,
7,
18
] | 44 |
[
"59+10=69",
"7+18=25",
"69-25=44"
] |
Current State: 44:[59, 10, 7, 18], Operations: []
Exploring Operation: 59+10=69, Resulting Numbers: [7, 18, 69]
Generated Node #2: [7, 18, 69] from Operation: 59+10=69
Current State: 44:[7, 18, 69], Operations: ['59+10=69']
Exploring Operation: 7+18=25, Resulting Numbers: [69, 25]
Generated Node #3: [69, 25] from Operation: 7+18=25
Current State: 44:[69, 25], Operations: ['59+10=69', '7+18=25']
Exploring Operation: 69-25=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
99,
71,
12,
9
] | 25 |
[
"99-71=28",
"12-9=3",
"28-3=25"
] |
Current State: 25:[99, 71, 12, 9], Operations: []
Exploring Operation: 99-71=28, Resulting Numbers: [12, 9, 28]
Generated Node #2: [12, 9, 28] from Operation: 99-71=28
Current State: 25:[12, 9, 28], Operations: ['99-71=28']
Exploring Operation: 12-9=3, Resulting Numbers: [28, 3]
Generated Node #3: [28, 3] from Operation: 12-9=3
Current State: 25:[28, 3], Operations: ['99-71=28', '12-9=3']
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
78,
54,
63,
10
] | 97 |
[
"78-54=24",
"63+10=73",
"24+73=97"
] |
Current State: 97:[78, 54, 63, 10], Operations: []
Exploring Operation: 78-54=24, Resulting Numbers: [63, 10, 24]
Generated Node #2: [63, 10, 24] from Operation: 78-54=24
Current State: 97:[63, 10, 24], Operations: ['78-54=24']
Exploring Operation: 63+10=73, Resulting Numbers: [24, 73]
Generated Node #3: [24, 73] from Operation: 63+10=73
Current State: 97:[24, 73], Operations: ['78-54=24', '63+10=73']
Exploring Operation: 24+73=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
64,
58,
76,
4
] | 100 |
[
"64-58=6",
"4*6=24",
"76+24=100"
] |
Current State: 100:[64, 58, 76, 4], Operations: []
Exploring Operation: 64-58=6, Resulting Numbers: [76, 4, 6]
Generated Node #2: [76, 4, 6] from Operation: 64-58=6
Current State: 100:[76, 4, 6], Operations: ['64-58=6']
Exploring Operation: 4*6=24, Resulting Numbers: [76, 24]
Generated Node #3: [76, 24] from Operation: 4*6=24
Current State: 100:[76, 24], Operations: ['64-58=6', '4*6=24']
Exploring Operation: 76+24=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
94,
91,
83,
3
] | 92 |
[
"94-91=3",
"3*3=9",
"83+9=92"
] |
Current State: 92:[94, 91, 83, 3], Operations: []
Exploring Operation: 94-91=3, Resulting Numbers: [83, 3, 3]
Generated Node #2: [83, 3, 3] from Operation: 94-91=3
Current State: 92:[83, 3, 3], Operations: ['94-91=3']
Exploring Operation: 3*3=9, Resulting Numbers: [83, 9]
Generated Node #3: [83, 9] from Operation: 3*3=9
Current State: 92:[83, 9], Operations: ['94-91=3', '3*3=9']
Exploring Operation: 83+9=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
88,
58,
60,
13
] | 57 |
[
"60-58=2",
"88/2=44",
"13+44=57"
] |
Current State: 57:[88, 58, 60, 13], Operations: []
Exploring Operation: 60-58=2, Resulting Numbers: [88, 13, 2]
Generated Node #2: [88, 13, 2] from Operation: 60-58=2
Current State: 57:[88, 13, 2], Operations: ['60-58=2']
Exploring Operation: 88/2=44, Resulting Numbers: [13, 44]
Generated Node #3: [13, 44] from Operation: 88/2=44
Current State: 57:[13, 44], Operations: ['60-58=2', '88/2=44']
Exploring Operation: 13+44=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
96,
30,
32,
3
] | 13 |
[
"96/32=3",
"30/3=10",
"3+10=13"
] |
Current State: 13:[96, 30, 32, 3], Operations: []
Exploring Operation: 96/32=3, Resulting Numbers: [30, 3, 3]
Generated Node #2: [30, 3, 3] from Operation: 96/32=3
Current State: 13:[30, 3, 3], Operations: ['96/32=3']
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,13 equal: Goal Reached
Exploring Operation: 3+10=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
30,
55,
16,
77
] | 58 |
[
"30*77=2310",
"2310/55=42",
"16+42=58"
] |
Current State: 58:[30, 55, 16, 77], Operations: []
Exploring Operation: 30*77=2310, Resulting Numbers: [55, 16, 2310]
Generated Node #2: [55, 16, 2310] from Operation: 30*77=2310
Current State: 58:[55, 16, 2310], Operations: ['30*77=2310']
Exploring Operation: 2310/55=42, Resulting Numbers: [16, 42]
Generated Node #3: [16, 42] from Operation: 2310/55=42
Current State: 58:[16, 42], Operations: ['30*77=2310', '2310/55=42']
Exploring Operation: 16+42=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
89,
14,
72,
91
] | 65 |
[
"91-89=2",
"14/2=7",
"72-7=65"
] |
Current State: 65:[89, 14, 72, 91], Operations: []
Exploring Operation: 91-89=2, Resulting Numbers: [14, 72, 2]
Generated Node #2: [14, 72, 2] from Operation: 91-89=2
Current State: 65:[14, 72, 2], Operations: ['91-89=2']
Exploring Operation: 14/2=7, Resulting Numbers: [72, 7]
Generated Node #3: [72, 7] from Operation: 14/2=7
Current State: 65:[72, 7], Operations: ['91-89=2', '14/2=7']
Exploring Operation: 72-7=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
12,
41,
73,
71
] | 51 |
[
"12+41=53",
"73-71=2",
"53-2=51"
] |
Current State: 51:[12, 41, 73, 71], Operations: []
Exploring Operation: 12+41=53, Resulting Numbers: [73, 71, 53]
Generated Node #2: [73, 71, 53] from Operation: 12+41=53
Current State: 51:[73, 71, 53], Operations: ['12+41=53']
Exploring Operation: 73-71=2, Resulting Numbers: [53, 2]
Generated Node #3: [53, 2] from Operation: 73-71=2
Current State: 51:[53, 2], Operations: ['12+41=53', '73-71=2']
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
46,
24,
34,
42
] | 31 |
[
"24*42=1008",
"46+1008=1054",
"1054/34=31"
] |
Current State: 31:[46, 24, 34, 42], Operations: []
Exploring Operation: 24*42=1008, Resulting Numbers: [46, 34, 1008]
Generated Node #2: [46, 34, 1008] from Operation: 24*42=1008
Current State: 31:[46, 34, 1008], Operations: ['24*42=1008']
Exploring Operation: 46+1008=1054, Resulting Numbers: [34, 1054]
Generated Node #3: [34, 1054] from Operation: 46+1008=1054
Current State: 31:[34, 1054], Operations: ['24*42=1008', '46+1008=1054']
Exploring Operation: 1054/34=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
78,
75,
10,
81
] | 94 |
[
"78-75=3",
"10+81=91",
"3+91=94"
] |
Current State: 94:[78, 75, 10, 81], Operations: []
Exploring Operation: 78-75=3, Resulting Numbers: [10, 81, 3]
Generated Node #2: [10, 81, 3] from Operation: 78-75=3
Current State: 94:[10, 81, 3], Operations: ['78-75=3']
Exploring Operation: 10+81=91, Resulting Numbers: [3, 91]
Generated Node #3: [3, 91] from Operation: 10+81=91
Current State: 94:[3, 91], Operations: ['78-75=3', '10+81=91']
Exploring Operation: 3+91=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
96,
53,
97,
65
] | 89 |
[
"65-53=12",
"96/12=8",
"97-8=89"
] |
Current State: 89:[96, 53, 97, 65], Operations: []
Exploring Operation: 65-53=12, Resulting Numbers: [96, 97, 12]
Generated Node #2: [96, 97, 12] from Operation: 65-53=12
Current State: 89:[96, 97, 12], Operations: ['65-53=12']
Exploring Operation: 96/12=8, Resulting Numbers: [97, 8]
Generated Node #3: [97, 8] from Operation: 96/12=8
Current State: 89:[97, 8], Operations: ['65-53=12', '96/12=8']
Exploring Operation: 97-8=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
7,
6,
45,
51
] | 29 |
[
"51-45=6",
"6*6=36",
"36-7=29"
] |
Current State: 29:[7, 6, 45, 51], Operations: []
Exploring Operation: 51-45=6, Resulting Numbers: [7, 6, 6]
Generated Node #2: [7, 6, 6] from Operation: 51-45=6
Current State: 29:[7, 6, 6], Operations: ['51-45=6']
Exploring Operation: 6*6=36, Resulting Numbers: [7, 36]
Generated Node #3: [7, 36] from Operation: 6*6=36
Current State: 29:[7, 36], Operations: ['51-45=6', '6*6=36']
Exploring Operation: 36-7=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
14,
8,
27,
5
] | 15 |
[
"8-5=3",
"14*3=42",
"42-27=15"
] |
Current State: 15:[14, 8, 27, 5], Operations: []
Exploring Operation: 8-5=3, Resulting Numbers: [14, 27, 3]
Generated Node #2: [14, 27, 3] from Operation: 8-5=3
Current State: 15:[14, 27, 3], Operations: ['8-5=3']
Exploring Operation: 14*3=42, Resulting Numbers: [27, 42]
Generated Node #3: [27, 42] from Operation: 14*3=42
Current State: 15:[27, 42], Operations: ['8-5=3', '14*3=42']
Exploring Operation: 42-27=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
32,
88,
60,
91
] | 95 |
[
"88-32=56",
"60+91=151",
"151-56=95"
] |
Current State: 95:[32, 88, 60, 91], Operations: []
Exploring Operation: 88-32=56, Resulting Numbers: [60, 91, 56]
Generated Node #2: [60, 91, 56] from Operation: 88-32=56
Current State: 95:[60, 91, 56], Operations: ['88-32=56']
Exploring Operation: 60+91=151, Resulting Numbers: [56, 151]
Generated Node #3: [56, 151] from Operation: 60+91=151
Current State: 95:[56, 151], Operations: ['88-32=56', '60+91=151']
Exploring Operation: 151-56=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
51,
35,
87,
61
] | 42 |
[
"51-35=16",
"87-61=26",
"16+26=42"
] |
Current State: 42:[51, 35, 87, 61], Operations: []
Exploring Operation: 51-35=16, Resulting Numbers: [87, 61, 16]
Generated Node #2: [87, 61, 16] from Operation: 51-35=16
Current State: 42:[87, 61, 16], Operations: ['51-35=16']
Exploring Operation: 87-61=26, Resulting Numbers: [16, 26]
Generated Node #3: [16, 26] from Operation: 87-61=26
Current State: 42:[16, 26], Operations: ['51-35=16', '87-61=26']
Exploring Operation: 16+26=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
62,
33,
4,
56
] | 89 |
[
"62-33=29",
"4+56=60",
"29+60=89"
] |
Current State: 89:[62, 33, 4, 56], Operations: []
Exploring Operation: 62-33=29, Resulting Numbers: [4, 56, 29]
Generated Node #2: [4, 56, 29] from Operation: 62-33=29
Current State: 89:[4, 56, 29], Operations: ['62-33=29']
Exploring Operation: 4+56=60, Resulting Numbers: [29, 60]
Generated Node #3: [29, 60] from Operation: 4+56=60
Current State: 89:[29, 60], Operations: ['62-33=29', '4+56=60']
Exploring Operation: 29+60=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
45,
90,
81,
13
] | 70 |
[
"90/45=2",
"81-13=68",
"2+68=70"
] |
Current State: 70:[45, 90, 81, 13], Operations: []
Exploring Operation: 90/45=2, Resulting Numbers: [81, 13, 2]
Generated Node #2: [81, 13, 2] from Operation: 90/45=2
Current State: 70:[81, 13, 2], Operations: ['90/45=2']
Exploring Operation: 81-13=68, Resulting Numbers: [2, 68]
Generated Node #3: [2, 68] from Operation: 81-13=68
Current State: 70:[2, 68], Operations: ['90/45=2', '81-13=68']
Exploring Operation: 2+68=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
37,
68,
89,
91
] | 99 |
[
"91-89=2",
"68*2=136",
"136-37=99"
] |
Current State: 99:[37, 68, 89, 91], Operations: []
Exploring Operation: 91-89=2, Resulting Numbers: [37, 68, 2]
Generated Node #2: [37, 68, 2] from Operation: 91-89=2
Current State: 99:[37, 68, 2], Operations: ['91-89=2']
Exploring Operation: 68*2=136, Resulting Numbers: [37, 136]
Generated Node #3: [37, 136] from Operation: 68*2=136
Current State: 99:[37, 136], Operations: ['91-89=2', '68*2=136']
Exploring Operation: 136-37=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
39,
63,
4,
29
] | 97 |
[
"63-29=34",
"4*34=136",
"136-39=97"
] |
Current State: 97:[39, 63, 4, 29], Operations: []
Exploring Operation: 63-29=34, Resulting Numbers: [39, 4, 34]
Generated Node #2: [39, 4, 34] from Operation: 63-29=34
Current State: 97:[39, 4, 34], Operations: ['63-29=34']
Exploring Operation: 4*34=136, Resulting Numbers: [39, 136]
Generated Node #3: [39, 136] from Operation: 4*34=136
Current State: 97:[39, 136], Operations: ['63-29=34', '4*34=136']
Exploring Operation: 136-39=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
17,
24,
27,
30
] | 72 |
[
"27-17=10",
"24*30=720",
"720/10=72"
] |
Current State: 72:[17, 24, 27, 30], Operations: []
Exploring Operation: 27-17=10, Resulting Numbers: [24, 30, 10]
Generated Node #2: [24, 30, 10] from Operation: 27-17=10
Current State: 72:[24, 30, 10], Operations: ['27-17=10']
Exploring Operation: 24*30=720, Resulting Numbers: [10, 720]
Generated Node #3: [10, 720] from Operation: 24*30=720
Current State: 72:[10, 720], Operations: ['27-17=10', '24*30=720']
Exploring Operation: 720/10=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
12,
20,
5,
5
] | 45 |
[
"20-12=8",
"5*8=40",
"5+40=45"
] |
Current State: 45:[12, 20, 5, 5], Operations: []
Exploring Operation: 20-12=8, Resulting Numbers: [5, 5, 8]
Generated Node #2: [5, 5, 8] from Operation: 20-12=8
Current State: 45:[5, 5, 8], Operations: ['20-12=8']
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,45 equal: Goal Reached
Exploring Operation: 5+40=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
90,
32,
9,
1
] | 86 |
[
"9-1=8",
"32/8=4",
"90-4=86"
] |
Current State: 86:[90, 32, 9, 1], Operations: []
Exploring Operation: 9-1=8, Resulting Numbers: [90, 32, 8]
Generated Node #2: [90, 32, 8] from Operation: 9-1=8
Current State: 86:[90, 32, 8], Operations: ['9-1=8']
Exploring Operation: 32/8=4, Resulting Numbers: [90, 4]
Generated Node #3: [90, 4] from Operation: 32/8=4
Current State: 86:[90, 4], Operations: ['9-1=8', '32/8=4']
Exploring Operation: 90-4=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
59,
75,
97,
8
] | 99 |
[
"75-59=16",
"16/8=2",
"97+2=99"
] |
Current State: 99:[59, 75, 97, 8], Operations: []
Exploring Operation: 75-59=16, Resulting Numbers: [97, 8, 16]
Generated Node #2: [97, 8, 16] from Operation: 75-59=16
Current State: 99:[97, 8, 16], Operations: ['75-59=16']
Exploring Operation: 16/8=2, Resulting Numbers: [97, 2]
Generated Node #3: [97, 2] from Operation: 16/8=2
Current State: 99:[97, 2], Operations: ['75-59=16', '16/8=2']
Exploring Operation: 97+2=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
30,
21,
5,
23
] | 56 |
[
"30-23=7",
"5*7=35",
"21+35=56"
] |
Current State: 56:[30, 21, 5, 23], Operations: []
Exploring Operation: 30-23=7, Resulting Numbers: [21, 5, 7]
Generated Node #2: [21, 5, 7] from Operation: 30-23=7
Current State: 56:[21, 5, 7], Operations: ['30-23=7']
Exploring Operation: 5*7=35, Resulting Numbers: [21, 35]
Generated Node #3: [21, 35] from Operation: 5*7=35
Current State: 56:[21, 35], Operations: ['30-23=7', '5*7=35']
Exploring Operation: 21+35=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
14,
77,
6,
52
] | 19 |
[
"77*6=462",
"462/14=33",
"52-33=19"
] |
Current State: 19:[14, 77, 6, 52], Operations: []
Exploring Operation: 77*6=462, Resulting Numbers: [14, 52, 462]
Generated Node #2: [14, 52, 462] from Operation: 77*6=462
Current State: 19:[14, 52, 462], Operations: ['77*6=462']
Exploring Operation: 462/14=33, Resulting Numbers: [52, 33]
Generated Node #3: [52, 33] from Operation: 462/14=33
Current State: 19:[52, 33], Operations: ['77*6=462', '462/14=33']
Exploring Operation: 52-33=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
72,
88,
40,
64
] | 43 |
[
"72*40=2880",
"2880/64=45",
"88-45=43"
] |
Current State: 43:[72, 88, 40, 64], Operations: []
Exploring Operation: 72*40=2880, Resulting Numbers: [88, 64, 2880]
Generated Node #2: [88, 64, 2880] from Operation: 72*40=2880
Current State: 43:[88, 64, 2880], Operations: ['72*40=2880']
Exploring Operation: 2880/64=45, Resulting Numbers: [88, 45]
Generated Node #3: [88, 45] from Operation: 2880/64=45
Current State: 43:[88, 45], Operations: ['72*40=2880', '2880/64=45']
Exploring Operation: 88-45=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
63,
77,
11,
7
] | 97 |
[
"63/7=9",
"77+11=88",
"9+88=97"
] |
Current State: 97:[63, 77, 11, 7], Operations: []
Exploring Operation: 63/7=9, Resulting Numbers: [77, 11, 9]
Generated Node #2: [77, 11, 9] from Operation: 63/7=9
Current State: 97:[77, 11, 9], Operations: ['63/7=9']
Exploring Operation: 77+11=88, Resulting Numbers: [9, 88]
Generated Node #3: [9, 88] from Operation: 77+11=88
Current State: 97:[9, 88], Operations: ['63/7=9', '77+11=88']
Exploring Operation: 9+88=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
71,
37,
88,
96
] | 100 |
[
"71+37=108",
"96-88=8",
"108-8=100"
] |
Current State: 100:[71, 37, 88, 96], Operations: []
Exploring Operation: 71+37=108, Resulting Numbers: [88, 96, 108]
Generated Node #2: [88, 96, 108] from Operation: 71+37=108
Current State: 100:[88, 96, 108], Operations: ['71+37=108']
Exploring Operation: 96-88=8, Resulting Numbers: [108, 8]
Generated Node #3: [108, 8] from Operation: 96-88=8
Current State: 100:[108, 8], Operations: ['71+37=108', '96-88=8']
Exploring Operation: 108-8=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
63,
37,
2,
57
] | 41 |
[
"63+37=100",
"2+57=59",
"100-59=41"
] |
Current State: 41:[63, 37, 2, 57], Operations: []
Exploring Operation: 63+37=100, Resulting Numbers: [2, 57, 100]
Generated Node #2: [2, 57, 100] from Operation: 63+37=100
Current State: 41:[2, 57, 100], Operations: ['63+37=100']
Exploring Operation: 2+57=59, Resulting Numbers: [100, 59]
Generated Node #3: [100, 59] from Operation: 2+57=59
Current State: 41:[100, 59], Operations: ['63+37=100', '2+57=59']
Exploring Operation: 100-59=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
66,
84,
15,
24
] | 21 |
[
"84-66=18",
"15+24=39",
"39-18=21"
] |
Current State: 21:[66, 84, 15, 24], Operations: []
Exploring Operation: 84-66=18, Resulting Numbers: [15, 24, 18]
Generated Node #2: [15, 24, 18] from Operation: 84-66=18
Current State: 21:[15, 24, 18], Operations: ['84-66=18']
Exploring Operation: 15+24=39, Resulting Numbers: [18, 39]
Generated Node #3: [18, 39] from Operation: 15+24=39
Current State: 21:[18, 39], Operations: ['84-66=18', '15+24=39']
Exploring Operation: 39-18=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
27,
58,
67,
76
] | 25 |
[
"58+76=134",
"134/67=2",
"27-2=25"
] |
Current State: 25:[27, 58, 67, 76], Operations: []
Exploring Operation: 58+76=134, Resulting Numbers: [27, 67, 134]
Generated Node #2: [27, 67, 134] from Operation: 58+76=134
Current State: 25:[27, 67, 134], Operations: ['58+76=134']
Exploring Operation: 134/67=2, Resulting Numbers: [27, 2]
Generated Node #3: [27, 2] from Operation: 134/67=2
Current State: 25:[27, 2], Operations: ['58+76=134', '134/67=2']
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
6,
8,
54,
10
] | 27 |
[
"54/6=9",
"8+10=18",
"9+18=27"
] |
Current State: 27:[6, 8, 54, 10], Operations: []
Exploring Operation: 54/6=9, Resulting Numbers: [8, 10, 9]
Generated Node #2: [8, 10, 9] from Operation: 54/6=9
Current State: 27:[8, 10, 9], Operations: ['54/6=9']
Exploring Operation: 8+10=18, Resulting Numbers: [9, 18]
Generated Node #3: [9, 18] from Operation: 8+10=18
Current State: 27:[9, 18], Operations: ['54/6=9', '8+10=18']
Exploring Operation: 9+18=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
51,
58,
45,
10
] | 28 |
[
"58-51=7",
"45-10=35",
"35-7=28"
] |
Current State: 28:[51, 58, 45, 10], Operations: []
Exploring Operation: 58-51=7, Resulting Numbers: [45, 10, 7]
Generated Node #2: [45, 10, 7] from Operation: 58-51=7
Current State: 28:[45, 10, 7], Operations: ['58-51=7']
Exploring Operation: 45-10=35, Resulting Numbers: [7, 35]
Generated Node #3: [7, 35] from Operation: 45-10=35
Current State: 28:[7, 35], Operations: ['58-51=7', '45-10=35']
Exploring Operation: 35-7=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
7,
52,
5,
85
] | 61 |
[
"7*52=364",
"5*85=425",
"425-364=61"
] |
Current State: 61:[7, 52, 5, 85], Operations: []
Exploring Operation: 7*52=364, Resulting Numbers: [5, 85, 364]
Generated Node #2: [5, 85, 364] from Operation: 7*52=364
Current State: 61:[5, 85, 364], Operations: ['7*52=364']
Exploring Operation: 5*85=425, Resulting Numbers: [364, 425]
Generated Node #3: [364, 425] from Operation: 5*85=425
Current State: 61:[364, 425], Operations: ['7*52=364', '5*85=425']
Exploring Operation: 425-364=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
38,
24,
26,
41
] | 77 |
[
"38+24=62",
"41-26=15",
"62+15=77"
] |
Current State: 77:[38, 24, 26, 41], Operations: []
Exploring Operation: 38+24=62, Resulting Numbers: [26, 41, 62]
Generated Node #2: [26, 41, 62] from Operation: 38+24=62
Current State: 77:[26, 41, 62], Operations: ['38+24=62']
Exploring Operation: 41-26=15, Resulting Numbers: [62, 15]
Generated Node #3: [62, 15] from Operation: 41-26=15
Current State: 77:[62, 15], Operations: ['38+24=62', '41-26=15']
Exploring Operation: 62+15=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
44,
92,
23,
17
] | 88 |
[
"92-44=48",
"23+17=40",
"48+40=88"
] |
Current State: 88:[44, 92, 23, 17], Operations: []
Exploring Operation: 92-44=48, Resulting Numbers: [23, 17, 48]
Generated Node #2: [23, 17, 48] from Operation: 92-44=48
Current State: 88:[23, 17, 48], Operations: ['92-44=48']
Exploring Operation: 23+17=40, Resulting Numbers: [48, 40]
Generated Node #3: [48, 40] from Operation: 23+17=40
Current State: 88:[48, 40], Operations: ['92-44=48', '23+17=40']
Exploring Operation: 48+40=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
93,
21,
7,
8
] | 87 |
[
"93-21=72",
"7+8=15",
"72+15=87"
] |
Current State: 87:[93, 21, 7, 8], Operations: []
Exploring Operation: 93-21=72, Resulting Numbers: [7, 8, 72]
Generated Node #2: [7, 8, 72] from Operation: 93-21=72
Current State: 87:[7, 8, 72], Operations: ['93-21=72']
Exploring Operation: 7+8=15, Resulting Numbers: [72, 15]
Generated Node #3: [72, 15] from Operation: 7+8=15
Current State: 87:[72, 15], Operations: ['93-21=72', '7+8=15']
Exploring Operation: 72+15=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
2,
73,
93,
6
] | 89 |
[
"73+93=166",
"166/2=83",
"6+83=89"
] |
Current State: 89:[2, 73, 93, 6], Operations: []
Exploring Operation: 73+93=166, Resulting Numbers: [2, 6, 166]
Generated Node #2: [2, 6, 166] from Operation: 73+93=166
Current State: 89:[2, 6, 166], Operations: ['73+93=166']
Exploring Operation: 166/2=83, Resulting Numbers: [6, 83]
Generated Node #3: [6, 83] from Operation: 166/2=83
Current State: 89:[6, 83], Operations: ['73+93=166', '166/2=83']
Exploring Operation: 6+83=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
77,
13,
85,
19
] | 12 |
[
"77*13=1001",
"19+1001=1020",
"1020/85=12"
] |
Current State: 12:[77, 13, 85, 19], Operations: []
Exploring Operation: 77*13=1001, Resulting Numbers: [85, 19, 1001]
Generated Node #2: [85, 19, 1001] from Operation: 77*13=1001
Current State: 12:[85, 19, 1001], Operations: ['77*13=1001']
Exploring Operation: 19+1001=1020, Resulting Numbers: [85, 1020]
Generated Node #3: [85, 1020] from Operation: 19+1001=1020
Current State: 12:[85, 1020], Operations: ['77*13=1001', '19+1001=1020']
Exploring Operation: 1020/85=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
56,
85,
83,
64
] | 48 |
[
"85-56=29",
"83-64=19",
"29+19=48"
] |
Current State: 48:[56, 85, 83, 64], Operations: []
Exploring Operation: 85-56=29, Resulting Numbers: [83, 64, 29]
Generated Node #2: [83, 64, 29] from Operation: 85-56=29
Current State: 48:[83, 64, 29], Operations: ['85-56=29']
Exploring Operation: 83-64=19, Resulting Numbers: [29, 19]
Generated Node #3: [29, 19] from Operation: 83-64=19
Current State: 48:[29, 19], Operations: ['85-56=29', '83-64=19']
Exploring Operation: 29+19=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
91,
59,
50,
94
] | 27 |
[
"94-91=3",
"59-50=9",
"3*9=27"
] |
Current State: 27:[91, 59, 50, 94], Operations: []
Exploring Operation: 94-91=3, Resulting Numbers: [59, 50, 3]
Generated Node #2: [59, 50, 3] from Operation: 94-91=3
Current State: 27:[59, 50, 3], Operations: ['94-91=3']
Exploring Operation: 59-50=9, Resulting Numbers: [3, 9]
Generated Node #3: [3, 9] from Operation: 59-50=9
Current State: 27:[3, 9], Operations: ['94-91=3', '59-50=9']
Exploring Operation: 3*9=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
7,
27,
45,
37
] | 83 |
[
"45-37=8",
"7*8=56",
"27+56=83"
] |
Current State: 83:[7, 27, 45, 37], Operations: []
Exploring Operation: 45-37=8, Resulting Numbers: [7, 27, 8]
Generated Node #2: [7, 27, 8] from Operation: 45-37=8
Current State: 83:[7, 27, 8], Operations: ['45-37=8']
Exploring Operation: 7*8=56, Resulting Numbers: [27, 56]
Generated Node #3: [27, 56] from Operation: 7*8=56
Current State: 83:[27, 56], Operations: ['45-37=8', '7*8=56']
Exploring Operation: 27+56=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
81,
11,
98,
14
] | 56 |
[
"81*14=1134",
"11*98=1078",
"1134-1078=56"
] |
Current State: 56:[81, 11, 98, 14], Operations: []
Exploring Operation: 81*14=1134, Resulting Numbers: [11, 98, 1134]
Generated Node #2: [11, 98, 1134] from Operation: 81*14=1134
Current State: 56:[11, 98, 1134], Operations: ['81*14=1134']
Exploring Operation: 11*98=1078, Resulting Numbers: [1134, 1078]
Generated Node #3: [1134, 1078] from Operation: 11*98=1078
Current State: 56:[1134, 1078], Operations: ['81*14=1134', '11*98=1078']
Exploring Operation: 1134-1078=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
74,
78,
3,
56
] | 99 |
[
"74+78=152",
"56-3=53",
"152-53=99"
] |
Current State: 99:[74, 78, 3, 56], Operations: []
Exploring Operation: 74+78=152, Resulting Numbers: [3, 56, 152]
Generated Node #2: [3, 56, 152] from Operation: 74+78=152
Current State: 99:[3, 56, 152], Operations: ['74+78=152']
Exploring Operation: 56-3=53, Resulting Numbers: [152, 53]
Generated Node #3: [152, 53] from Operation: 56-3=53
Current State: 99:[152, 53], Operations: ['74+78=152', '56-3=53']
Exploring Operation: 152-53=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
81,
48,
21,
47
] | 50 |
[
"48-21=27",
"81/27=3",
"47+3=50"
] |
Current State: 50:[81, 48, 21, 47], Operations: []
Exploring Operation: 48-21=27, Resulting Numbers: [81, 47, 27]
Generated Node #2: [81, 47, 27] from Operation: 48-21=27
Current State: 50:[81, 47, 27], Operations: ['48-21=27']
Exploring Operation: 81/27=3, Resulting Numbers: [47, 3]
Generated Node #3: [47, 3] from Operation: 81/27=3
Current State: 50:[47, 3], Operations: ['48-21=27', '81/27=3']
Exploring Operation: 47+3=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
63,
61,
28,
33
] | 47 |
[
"63-61=2",
"28/2=14",
"33+14=47"
] |
Current State: 47:[63, 61, 28, 33], Operations: []
Exploring Operation: 63-61=2, Resulting Numbers: [28, 33, 2]
Generated Node #2: [28, 33, 2] from Operation: 63-61=2
Current State: 47:[28, 33, 2], Operations: ['63-61=2']
Exploring Operation: 28/2=14, Resulting Numbers: [33, 14]
Generated Node #3: [33, 14] from Operation: 28/2=14
Current State: 47:[33, 14], Operations: ['63-61=2', '28/2=14']
Exploring Operation: 33+14=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
85,
96,
25,
16
] | 52 |
[
"96-85=11",
"25+16=41",
"11+41=52"
] |
Current State: 52:[85, 96, 25, 16], Operations: []
Exploring Operation: 96-85=11, Resulting Numbers: [25, 16, 11]
Generated Node #2: [25, 16, 11] from Operation: 96-85=11
Current State: 52:[25, 16, 11], Operations: ['96-85=11']
Exploring Operation: 25+16=41, Resulting Numbers: [11, 41]
Generated Node #3: [11, 41] from Operation: 25+16=41
Current State: 52:[11, 41], Operations: ['96-85=11', '25+16=41']
Exploring Operation: 11+41=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
25,
39,
18,
32
] | 78 |
[
"25+39=64",
"32-18=14",
"64+14=78"
] |
Current State: 78:[25, 39, 18, 32], Operations: []
Exploring Operation: 25+39=64, Resulting Numbers: [18, 32, 64]
Generated Node #2: [18, 32, 64] from Operation: 25+39=64
Current State: 78:[18, 32, 64], Operations: ['25+39=64']
Exploring Operation: 32-18=14, Resulting Numbers: [64, 14]
Generated Node #3: [64, 14] from Operation: 32-18=14
Current State: 78:[64, 14], Operations: ['25+39=64', '32-18=14']
Exploring Operation: 64+14=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
65,
84,
99,
16
] | 64 |
[
"84-65=19",
"99-16=83",
"83-19=64"
] |
Current State: 64:[65, 84, 99, 16], Operations: []
Exploring Operation: 84-65=19, Resulting Numbers: [99, 16, 19]
Generated Node #2: [99, 16, 19] from Operation: 84-65=19
Current State: 64:[99, 16, 19], Operations: ['84-65=19']
Exploring Operation: 99-16=83, Resulting Numbers: [19, 83]
Generated Node #3: [19, 83] from Operation: 99-16=83
Current State: 64:[19, 83], Operations: ['84-65=19', '99-16=83']
Exploring Operation: 83-19=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
92,
2,
91,
3
] | 15 |
[
"92/2=46",
"91-46=45",
"45/3=15"
] |
Current State: 15:[92, 2, 91, 3], Operations: []
Exploring Operation: 92/2=46, Resulting Numbers: [91, 3, 46]
Generated Node #2: [91, 3, 46] from Operation: 92/2=46
Current State: 15:[91, 3, 46], Operations: ['92/2=46']
Exploring Operation: 91-46=45, Resulting Numbers: [3, 45]
Generated Node #3: [3, 45] from Operation: 91-46=45
Current State: 15:[3, 45], Operations: ['92/2=46', '91-46=45']
Exploring Operation: 45/3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
14,
77,
20,
67
] | 80 |
[
"77-14=63",
"67-63=4",
"20*4=80"
] |
Current State: 80:[14, 77, 20, 67], Operations: []
Exploring Operation: 77-14=63, Resulting Numbers: [20, 67, 63]
Generated Node #2: [20, 67, 63] from Operation: 77-14=63
Current State: 80:[20, 67, 63], Operations: ['77-14=63']
Exploring Operation: 67-63=4, Resulting Numbers: [20, 4]
Generated Node #3: [20, 4] from Operation: 67-63=4
Current State: 80:[20, 4], Operations: ['77-14=63', '67-63=4']
Exploring Operation: 20*4=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
2,
3,
20,
41
] | 55 |
[
"2*3=6",
"20+41=61",
"61-6=55"
] |
Current State: 55:[2, 3, 20, 41], Operations: []
Exploring Operation: 2*3=6, Resulting Numbers: [20, 41, 6]
Generated Node #2: [20, 41, 6] from Operation: 2*3=6
Current State: 55:[20, 41, 6], Operations: ['2*3=6']
Exploring Operation: 20+41=61, Resulting Numbers: [6, 61]
Generated Node #3: [6, 61] from Operation: 20+41=61
Current State: 55:[6, 61], Operations: ['2*3=6', '20+41=61']
Exploring Operation: 61-6=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
94,
38,
14,
2
] | 73 |
[
"94+38=132",
"14+132=146",
"146/2=73"
] |
Current State: 73:[94, 38, 14, 2], Operations: []
Exploring Operation: 94+38=132, Resulting Numbers: [14, 2, 132]
Generated Node #2: [14, 2, 132] from Operation: 94+38=132
Current State: 73:[14, 2, 132], Operations: ['94+38=132']
Exploring Operation: 14+132=146, Resulting Numbers: [2, 146]
Generated Node #3: [2, 146] from Operation: 14+132=146
Current State: 73:[2, 146], Operations: ['94+38=132', '14+132=146']
Exploring Operation: 146/2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
91,
99,
66,
5
] | 53 |
[
"99-91=8",
"66-5=61",
"61-8=53"
] |
Current State: 53:[91, 99, 66, 5], Operations: []
Exploring Operation: 99-91=8, Resulting Numbers: [66, 5, 8]
Generated Node #2: [66, 5, 8] from Operation: 99-91=8
Current State: 53:[66, 5, 8], Operations: ['99-91=8']
Exploring Operation: 66-5=61, Resulting Numbers: [8, 61]
Generated Node #3: [8, 61] from Operation: 66-5=61
Current State: 53:[8, 61], Operations: ['99-91=8', '66-5=61']
Exploring Operation: 61-8=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
53,
7,
64,
10
] | 11 |
[
"53-7=46",
"64+46=110",
"110/10=11"
] |
Current State: 11:[53, 7, 64, 10], Operations: []
Exploring Operation: 53-7=46, Resulting Numbers: [64, 10, 46]
Generated Node #2: [64, 10, 46] from Operation: 53-7=46
Current State: 11:[64, 10, 46], Operations: ['53-7=46']
Exploring Operation: 64+46=110, Resulting Numbers: [10, 110]
Generated Node #3: [10, 110] from Operation: 64+46=110
Current State: 11:[10, 110], Operations: ['53-7=46', '64+46=110']
Exploring Operation: 110/10=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
39,
86,
64,
8
] | 32 |
[
"39*64=2496",
"86-8=78",
"2496/78=32"
] |
Current State: 32:[39, 86, 64, 8], Operations: []
Exploring Operation: 39*64=2496, Resulting Numbers: [86, 8, 2496]
Generated Node #2: [86, 8, 2496] from Operation: 39*64=2496
Current State: 32:[86, 8, 2496], Operations: ['39*64=2496']
Exploring Operation: 86-8=78, Resulting Numbers: [2496, 78]
Generated Node #3: [2496, 78] from Operation: 86-8=78
Current State: 32:[2496, 78], Operations: ['39*64=2496', '86-8=78']
Exploring Operation: 2496/78=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
45,
44,
6,
96
] | 15 |
[
"45-44=1",
"96/6=16",
"16-1=15"
] |
Current State: 15:[45, 44, 6, 96], Operations: []
Exploring Operation: 45-44=1, Resulting Numbers: [6, 96, 1]
Generated Node #2: [6, 96, 1] from Operation: 45-44=1
Current State: 15:[6, 96, 1], Operations: ['45-44=1']
Exploring Operation: 96/6=16, Resulting Numbers: [1, 16]
Generated Node #3: [1, 16] from Operation: 96/6=16
Current State: 15:[1, 16], Operations: ['45-44=1', '96/6=16']
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
70,
38,
17,
54
] | 71 |
[
"70+38=108",
"54-17=37",
"108-37=71"
] |
Current State: 71:[70, 38, 17, 54], Operations: []
Exploring Operation: 70+38=108, Resulting Numbers: [17, 54, 108]
Generated Node #2: [17, 54, 108] from Operation: 70+38=108
Current State: 71:[17, 54, 108], Operations: ['70+38=108']
Exploring Operation: 54-17=37, Resulting Numbers: [108, 37]
Generated Node #3: [108, 37] from Operation: 54-17=37
Current State: 71:[108, 37], Operations: ['70+38=108', '54-17=37']
Exploring Operation: 108-37=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
11,
58,
23,
30
] | 55 |
[
"58-23=35",
"35-30=5",
"11*5=55"
] |
Current State: 55:[11, 58, 23, 30], Operations: []
Exploring Operation: 58-23=35, Resulting Numbers: [11, 30, 35]
Generated Node #2: [11, 30, 35] from Operation: 58-23=35
Current State: 55:[11, 30, 35], Operations: ['58-23=35']
Exploring Operation: 35-30=5, Resulting Numbers: [11, 5]
Generated Node #3: [11, 5] from Operation: 35-30=5
Current State: 55:[11, 5], Operations: ['58-23=35', '35-30=5']
Exploring Operation: 11*5=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
81,
78,
76,
83
] | 85 |
[
"78-76=2",
"83*2=166",
"166-81=85"
] |
Current State: 85:[81, 78, 76, 83], Operations: []
Exploring Operation: 78-76=2, Resulting Numbers: [81, 83, 2]
Generated Node #2: [81, 83, 2] from Operation: 78-76=2
Current State: 85:[81, 83, 2], Operations: ['78-76=2']
Exploring Operation: 83*2=166, Resulting Numbers: [81, 166]
Generated Node #3: [81, 166] from Operation: 83*2=166
Current State: 85:[81, 166], Operations: ['78-76=2', '83*2=166']
Exploring Operation: 166-81=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
18,
50,
24,
29
] | 72 |
[
"50-18=32",
"32-29=3",
"24*3=72"
] |
Current State: 72:[18, 50, 24, 29], Operations: []
Exploring Operation: 50-18=32, Resulting Numbers: [24, 29, 32]
Generated Node #2: [24, 29, 32] from Operation: 50-18=32
Current State: 72:[24, 29, 32], Operations: ['50-18=32']
Exploring Operation: 32-29=3, Resulting Numbers: [24, 3]
Generated Node #3: [24, 3] from Operation: 32-29=3
Current State: 72:[24, 3], Operations: ['50-18=32', '32-29=3']
Exploring Operation: 24*3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
2,
71,
39,
31
] | 86 |
[
"71+39=110",
"110/2=55",
"31+55=86"
] |
Current State: 86:[2, 71, 39, 31], Operations: []
Exploring Operation: 71+39=110, Resulting Numbers: [2, 31, 110]
Generated Node #2: [2, 31, 110] from Operation: 71+39=110
Current State: 86:[2, 31, 110], Operations: ['71+39=110']
Exploring Operation: 110/2=55, Resulting Numbers: [31, 55]
Generated Node #3: [31, 55] from Operation: 110/2=55
Current State: 86:[31, 55], Operations: ['71+39=110', '110/2=55']
Exploring Operation: 31+55=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
61,
3,
35,
45
] | 41 |
[
"61-35=26",
"45/3=15",
"26+15=41"
] |
Current State: 41:[61, 3, 35, 45], Operations: []
Exploring Operation: 61-35=26, Resulting Numbers: [3, 45, 26]
Generated Node #2: [3, 45, 26] from Operation: 61-35=26
Current State: 41:[3, 45, 26], Operations: ['61-35=26']
Exploring Operation: 45/3=15, Resulting Numbers: [26, 15]
Generated Node #3: [26, 15] from Operation: 45/3=15
Current State: 41:[26, 15], Operations: ['61-35=26', '45/3=15']
Exploring Operation: 26+15=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
63,
13,
12,
67
] | 21 |
[
"63+13=76",
"67-12=55",
"76-55=21"
] |
Current State: 21:[63, 13, 12, 67], Operations: []
Exploring Operation: 63+13=76, Resulting Numbers: [12, 67, 76]
Generated Node #2: [12, 67, 76] from Operation: 63+13=76
Current State: 21:[12, 67, 76], Operations: ['63+13=76']
Exploring Operation: 67-12=55, Resulting Numbers: [76, 55]
Generated Node #3: [76, 55] from Operation: 67-12=55
Current State: 21:[76, 55], Operations: ['63+13=76', '67-12=55']
Exploring Operation: 76-55=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
2,
97,
85,
74
] | 75 |
[
"85-74=11",
"2*11=22",
"97-22=75"
] |
Current State: 75:[2, 97, 85, 74], Operations: []
Exploring Operation: 85-74=11, Resulting Numbers: [2, 97, 11]
Generated Node #2: [2, 97, 11] from Operation: 85-74=11
Current State: 75:[2, 97, 11], Operations: ['85-74=11']
Exploring Operation: 2*11=22, Resulting Numbers: [97, 22]
Generated Node #3: [97, 22] from Operation: 2*11=22
Current State: 75:[97, 22], Operations: ['85-74=11', '2*11=22']
Exploring Operation: 97-22=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
50,
17,
31,
65
] | 95 |
[
"50*31=1550",
"65+1550=1615",
"1615/17=95"
] |
Current State: 95:[50, 17, 31, 65], Operations: []
Exploring Operation: 50*31=1550, Resulting Numbers: [17, 65, 1550]
Generated Node #2: [17, 65, 1550] from Operation: 50*31=1550
Current State: 95:[17, 65, 1550], Operations: ['50*31=1550']
Exploring Operation: 65+1550=1615, Resulting Numbers: [17, 1615]
Generated Node #3: [17, 1615] from Operation: 65+1550=1615
Current State: 95:[17, 1615], Operations: ['50*31=1550', '65+1550=1615']
Exploring Operation: 1615/17=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
8,
95,
90,
96
] | 47 |
[
"96-90=6",
"8*6=48",
"95-48=47"
] |
Current State: 47:[8, 95, 90, 96], Operations: []
Exploring Operation: 96-90=6, Resulting Numbers: [8, 95, 6]
Generated Node #2: [8, 95, 6] from Operation: 96-90=6
Current State: 47:[8, 95, 6], Operations: ['96-90=6']
Exploring Operation: 8*6=48, Resulting Numbers: [95, 48]
Generated Node #3: [95, 48] from Operation: 8*6=48
Current State: 47:[95, 48], Operations: ['96-90=6', '8*6=48']
Exploring Operation: 95-48=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
35,
39,
63,
7
] | 91 |
[
"39-35=4",
"7*4=28",
"63+28=91"
] |
Current State: 91:[35, 39, 63, 7], Operations: []
Exploring Operation: 39-35=4, Resulting Numbers: [63, 7, 4]
Generated Node #2: [63, 7, 4] from Operation: 39-35=4
Current State: 91:[63, 7, 4], Operations: ['39-35=4']
Exploring Operation: 7*4=28, Resulting Numbers: [63, 28]
Generated Node #3: [63, 28] from Operation: 7*4=28
Current State: 91:[63, 28], Operations: ['39-35=4', '7*4=28']
Exploring Operation: 63+28=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
15,
10,
70,
87
] | 95 |
[
"15+87=102",
"70/10=7",
"102-7=95"
] |
Current State: 95:[15, 10, 70, 87], Operations: []
Exploring Operation: 15+87=102, Resulting Numbers: [10, 70, 102]
Generated Node #2: [10, 70, 102] from Operation: 15+87=102
Current State: 95:[10, 70, 102], Operations: ['15+87=102']
Exploring Operation: 70/10=7, Resulting Numbers: [102, 7]
Generated Node #3: [102, 7] from Operation: 70/10=7
Current State: 95:[102, 7], Operations: ['15+87=102', '70/10=7']
Exploring Operation: 102-7=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
34,
33,
59,
39
] | 98 |
[
"34-33=1",
"59+39=98",
"1*98=98"
] |
Current State: 98:[34, 33, 59, 39], Operations: []
Exploring Operation: 34-33=1, Resulting Numbers: [59, 39, 1]
Generated Node #2: [59, 39, 1] from Operation: 34-33=1
Current State: 98:[59, 39, 1], Operations: ['34-33=1']
Exploring Operation: 59+39=98, Resulting Numbers: [1, 98]
Generated Node #3: [1, 98] from Operation: 59+39=98
Current State: 98:[1, 98], Operations: ['34-33=1', '59+39=98']
Exploring Operation: 1*98=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
45,
55,
45,
11
] | 44 |
[
"45+55=100",
"45+11=56",
"100-56=44"
] |
Current State: 44:[45, 55, 45, 11], Operations: []
Exploring Operation: 45+55=100, Resulting Numbers: [11, 100]
Generated Node #2: [11, 100] from Operation: 45+55=100
Current State: 44:[11, 100], Operations: ['45+55=100']
Exploring Operation: 45+11=56, Resulting Numbers: [100, 56]
Generated Node #3: [100, 56] from Operation: 45+11=56
Current State: 44:[100, 56], Operations: ['45+55=100', '45+11=56']
Exploring Operation: 100-56=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
45,
90,
17,
7
] | 85 |
[
"90/45=2",
"7-2=5",
"17*5=85"
] |
Current State: 85:[45, 90, 17, 7], Operations: []
Exploring Operation: 90/45=2, Resulting Numbers: [17, 7, 2]
Generated Node #2: [17, 7, 2] from Operation: 90/45=2
Current State: 85:[17, 7, 2], Operations: ['90/45=2']
Exploring Operation: 7-2=5, Resulting Numbers: [17, 5]
Generated Node #3: [17, 5] from Operation: 7-2=5
Current State: 85:[17, 5], Operations: ['90/45=2', '7-2=5']
Exploring Operation: 17*5=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
70,
61,
11,
13
] | 33 |
[
"70-61=9",
"11+13=24",
"9+24=33"
] |
Current State: 33:[70, 61, 11, 13], Operations: []
Exploring Operation: 70-61=9, Resulting Numbers: [11, 13, 9]
Generated Node #2: [11, 13, 9] from Operation: 70-61=9
Current State: 33:[11, 13, 9], Operations: ['70-61=9']
Exploring Operation: 11+13=24, Resulting Numbers: [9, 24]
Generated Node #3: [9, 24] from Operation: 11+13=24
Current State: 33:[9, 24], Operations: ['70-61=9', '11+13=24']
Exploring Operation: 9+24=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
5,
4,
36,
83
] | 58 |
[
"5+83=88",
"88/4=22",
"36+22=58"
] |
Current State: 58:[5, 4, 36, 83], Operations: []
Exploring Operation: 5+83=88, Resulting Numbers: [4, 36, 88]
Generated Node #2: [4, 36, 88] from Operation: 5+83=88
Current State: 58:[4, 36, 88], Operations: ['5+83=88']
Exploring Operation: 88/4=22, Resulting Numbers: [36, 22]
Generated Node #3: [36, 22] from Operation: 88/4=22
Current State: 58:[36, 22], Operations: ['5+83=88', '88/4=22']
Exploring Operation: 36+22=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
39,
39,
9,
21
] | 37 |
[
"39-21=18",
"18/9=2",
"39-2=37"
] |
Current State: 37:[39, 39, 9, 21], Operations: []
Exploring Operation: 39-21=18, Resulting Numbers: [9, 18]
Generated Node #2: [9, 18] from Operation: 39-21=18
Current State: 37:[9, 18], Operations: ['39-21=18']
Exploring Operation: 18/9=2, Resulting Numbers: [2]
2,37 equal: Goal Reached
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
10,
78,
14,
74
] | 100 |
[
"78-14=64",
"74-64=10",
"10*10=100"
] |
Current State: 100:[10, 78, 14, 74], Operations: []
Exploring Operation: 78-14=64, Resulting Numbers: [10, 74, 64]
Generated Node #2: [10, 74, 64] from Operation: 78-14=64
Current State: 100:[10, 74, 64], Operations: ['78-14=64']
Exploring Operation: 74-64=10, Resulting Numbers: [10, 10]
Generated Node #3: [10, 10] from Operation: 74-64=10
Current State: 100:[10, 10], Operations: ['78-14=64', '74-64=10']
Exploring Operation: 10*10=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
92,
14,
16,
56
] | 27 |
[
"92+16=108",
"56/14=4",
"108/4=27"
] |
Current State: 27:[92, 14, 16, 56], Operations: []
Exploring Operation: 92+16=108, Resulting Numbers: [14, 56, 108]
Generated Node #2: [14, 56, 108] from Operation: 92+16=108
Current State: 27:[14, 56, 108], Operations: ['92+16=108']
Exploring Operation: 56/14=4, Resulting Numbers: [108, 4]
Generated Node #3: [108, 4] from Operation: 56/14=4
Current State: 27:[108, 4], Operations: ['92+16=108', '56/14=4']
Exploring Operation: 108/4=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
70,
39,
86,
79
] | 38 |
[
"70-39=31",
"86-79=7",
"31+7=38"
] |
Current State: 38:[70, 39, 86, 79], Operations: []
Exploring Operation: 70-39=31, Resulting Numbers: [86, 79, 31]
Generated Node #2: [86, 79, 31] from Operation: 70-39=31
Current State: 38:[86, 79, 31], Operations: ['70-39=31']
Exploring Operation: 86-79=7, Resulting Numbers: [31, 7]
Generated Node #3: [31, 7] from Operation: 86-79=7
Current State: 38:[31, 7], Operations: ['70-39=31', '86-79=7']
Exploring Operation: 31+7=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
16,
27,
48,
92
] | 87 |
[
"16+27=43",
"92-48=44",
"43+44=87"
] |
Current State: 87:[16, 27, 48, 92], Operations: []
Exploring Operation: 16+27=43, Resulting Numbers: [48, 92, 43]
Generated Node #2: [48, 92, 43] from Operation: 16+27=43
Current State: 87:[48, 92, 43], Operations: ['16+27=43']
Exploring Operation: 92-48=44, Resulting Numbers: [43, 44]
Generated Node #3: [43, 44] from Operation: 92-48=44
Current State: 87:[43, 44], Operations: ['16+27=43', '92-48=44']
Exploring Operation: 43+44=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
3,
24,
19,
10
] | 20 |
[
"24-3=21",
"21-19=2",
"10*2=20"
] |
Current State: 20:[3, 24, 19, 10], Operations: []
Exploring Operation: 24-3=21, Resulting Numbers: [19, 10, 21]
Generated Node #2: [19, 10, 21] from Operation: 24-3=21
Current State: 20:[19, 10, 21], Operations: ['24-3=21']
Exploring Operation: 21-19=2, Resulting Numbers: [10, 2]
Generated Node #3: [10, 2] from Operation: 21-19=2
Current State: 20:[10, 2], Operations: ['24-3=21', '21-19=2']
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
10,
71,
80,
56
] | 34 |
[
"80-71=9",
"10*9=90",
"90-56=34"
] |
Current State: 34:[10, 71, 80, 56], Operations: []
Exploring Operation: 80-71=9, Resulting Numbers: [10, 56, 9]
Generated Node #2: [10, 56, 9] from Operation: 80-71=9
Current State: 34:[10, 56, 9], Operations: ['80-71=9']
Exploring Operation: 10*9=90, Resulting Numbers: [56, 90]
Generated Node #3: [56, 90] from Operation: 10*9=90
Current State: 34:[56, 90], Operations: ['80-71=9', '10*9=90']
Exploring Operation: 90-56=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
43,
41,
53,
43
] | 74 |
[
"43+41=84",
"53-43=10",
"84-10=74"
] |
Current State: 74:[43, 41, 53, 43], Operations: []
Exploring Operation: 43+41=84, Resulting Numbers: [53, 84]
Generated Node #2: [53, 84] from Operation: 43+41=84
Current State: 74:[53, 84], Operations: ['43+41=84']
Exploring Operation: 53-43=10, Resulting Numbers: [84, 10]
Generated Node #3: [84, 10] from Operation: 53-43=10
Current State: 74:[84, 10], Operations: ['43+41=84', '53-43=10']
Exploring Operation: 84-10=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
26,
64,
2,
69
] | 63 |
[
"26+69=95",
"64/2=32",
"95-32=63"
] |
Current State: 63:[26, 64, 2, 69], Operations: []
Exploring Operation: 26+69=95, Resulting Numbers: [64, 2, 95]
Generated Node #2: [64, 2, 95] from Operation: 26+69=95
Current State: 63:[64, 2, 95], Operations: ['26+69=95']
Exploring Operation: 64/2=32, Resulting Numbers: [95, 32]
Generated Node #3: [95, 32] from Operation: 64/2=32
Current State: 63:[95, 32], Operations: ['26+69=95', '64/2=32']
Exploring Operation: 95-32=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
60,
17,
65,
47
] | 35 |
[
"60+17=77",
"65+47=112",
"112-77=35"
] |
Current State: 35:[60, 17, 65, 47], Operations: []
Exploring Operation: 60+17=77, Resulting Numbers: [65, 47, 77]
Generated Node #2: [65, 47, 77] from Operation: 60+17=77
Current State: 35:[65, 47, 77], Operations: ['60+17=77']
Exploring Operation: 65+47=112, Resulting Numbers: [77, 112]
Generated Node #3: [77, 112] from Operation: 65+47=112
Current State: 35:[77, 112], Operations: ['60+17=77', '65+47=112']
Exploring Operation: 112-77=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
10,
17,
57,
54
] | 10 |
[
"17-10=7",
"57-54=3",
"7+3=10"
] |
Current State: 10:[10, 17, 57, 54], Operations: []
Exploring Operation: 17-10=7, Resulting Numbers: [57, 54, 7]
Generated Node #2: [57, 54, 7] from Operation: 17-10=7
Current State: 10:[57, 54, 7], Operations: ['17-10=7']
Exploring Operation: 57-54=3, Resulting Numbers: [7, 3]
Generated Node #3: [7, 3] from Operation: 57-54=3
Current State: 10:[7, 3], Operations: ['17-10=7', '57-54=3']
Exploring Operation: 7+3=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
14,
41,
48,
30
] | 37 |
[
"14+41=55",
"48-30=18",
"55-18=37"
] |
Current State: 37:[14, 41, 48, 30], Operations: []
Exploring Operation: 14+41=55, Resulting Numbers: [48, 30, 55]
Generated Node #2: [48, 30, 55] from Operation: 14+41=55
Current State: 37:[48, 30, 55], Operations: ['14+41=55']
Exploring Operation: 48-30=18, Resulting Numbers: [55, 18]
Generated Node #3: [55, 18] from Operation: 48-30=18
Current State: 37:[55, 18], Operations: ['14+41=55', '48-30=18']
Exploring Operation: 55-18=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
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