nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
45,
90,
91,
87
] | 83 | [
"90/45=2",
"87*2=174",
"174-91=83"
] | Current State: 83:[45, 90, 91, 87], Operations: []
Exploring Operation: 90/45=2, Resulting Numbers: [91, 87, 2]
Generated Node #2: [91, 87, 2] from Operation: 90/45=2
Current State: 83:[91, 87, 2], Operations: ['90/45=2']
Exploring Operation: 87*2=174, Resulting Numbers: [91, 174]
Generated Node #3: [91, 174] from Operation: 87*2=174
Current State: 83:[91, 174], Operations: ['90/45=2', '87*2=174']
Exploring Operation: 174-91=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
38,
78,
72,
97
] | 15 | [
"78-38=40",
"97-72=25",
"40-25=15"
] | Current State: 15:[38, 78, 72, 97], Operations: []
Exploring Operation: 78-38=40, Resulting Numbers: [72, 97, 40]
Generated Node #2: [72, 97, 40] from Operation: 78-38=40
Current State: 15:[72, 97, 40], Operations: ['78-38=40']
Exploring Operation: 97-72=25, Resulting Numbers: [40, 25]
Generated Node #3: [40, 25] from Operation: 97-72=25
Current State: 15:[40, 25], Operations: ['78-38=40', '97-72=25']
Exploring Operation: 40-25=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
92,
85,
75,
85
] | 17 | [
"92+85=177",
"75+85=160",
"177-160=17"
] | Current State: 17:[92, 85, 75, 85], Operations: []
Exploring Operation: 92+85=177, Resulting Numbers: [75, 177]
Generated Node #2: [75, 177] from Operation: 92+85=177
Current State: 17:[75, 177], Operations: ['92+85=177']
Exploring Operation: 75+85=160, Resulting Numbers: [177, 160]
Generated Node #3: [177, 160] from Operation: 75+85=160
Current State: 17:[177, 160], Operations: ['92+85=177', '75+85=160']
Exploring Operation: 177-160=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
76,
93,
6,
62
] | 67 | [
"93*6=558",
"558/62=9",
"76-9=67"
] | Current State: 67:[76, 93, 6, 62], Operations: []
Exploring Operation: 93*6=558, Resulting Numbers: [76, 62, 558]
Generated Node #2: [76, 62, 558] from Operation: 93*6=558
Current State: 67:[76, 62, 558], Operations: ['93*6=558']
Exploring Operation: 558/62=9, Resulting Numbers: [76, 9]
Generated Node #3: [76, 9] from Operation: 558/62=9
Current State: 67:[76, 9], Operations: ['93*6=558', '558/62=9']
Exploring Operation: 76-9=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
46,
33,
97,
99
] | 81 | [
"46+33=79",
"99-97=2",
"79+2=81"
] | Current State: 81:[46, 33, 97, 99], Operations: []
Exploring Operation: 46+33=79, Resulting Numbers: [97, 99, 79]
Generated Node #2: [97, 99, 79] from Operation: 46+33=79
Current State: 81:[97, 99, 79], Operations: ['46+33=79']
Exploring Operation: 99-97=2, Resulting Numbers: [79, 2]
Generated Node #3: [79, 2] from Operation: 99-97=2
Current State: 81:[79, 2], Operations: ['46+33=79', '99-97=2']
Exploring Operation: 79+2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
81,
91,
30,
31
] | 11 | [
"91-81=10",
"31-30=1",
"10+1=11"
] | Current State: 11:[81, 91, 30, 31], Operations: []
Exploring Operation: 91-81=10, Resulting Numbers: [30, 31, 10]
Generated Node #2: [30, 31, 10] from Operation: 91-81=10
Current State: 11:[30, 31, 10], Operations: ['91-81=10']
Exploring Operation: 31-30=1, Resulting Numbers: [10, 1]
Generated Node #3: [10, 1] from Operation: 31-30=1
Current State: 11:[10, 1], Operations: ['91-81=10', '31-30=1']
Exploring Operation: 10+1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
33,
2,
12,
79
] | 56 | [
"33+2=35",
"12+79=91",
"91-35=56"
] | Current State: 56:[33, 2, 12, 79], Operations: []
Exploring Operation: 33+2=35, Resulting Numbers: [12, 79, 35]
Generated Node #2: [12, 79, 35] from Operation: 33+2=35
Current State: 56:[12, 79, 35], Operations: ['33+2=35']
Exploring Operation: 12+79=91, Resulting Numbers: [35, 91]
Generated Node #3: [35, 91] from Operation: 12+79=91
Current State: 56:[35, 91], Operations: ['33+2=35', '12+79=91']
Exploring Operation: 91-35=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
12,
15,
31,
12
] | 40 | [
"15-12=3",
"31+12=43",
"43-3=40"
] | Current State: 40:[12, 15, 31, 12], Operations: []
Exploring Operation: 15-12=3, Resulting Numbers: [31, 3]
Generated Node #2: [31, 3] from Operation: 15-12=3
Current State: 40:[31, 3], Operations: ['15-12=3']
Exploring Operation: 31+12=43, Resulting Numbers: [3, 43]
Generated Node #3: [3, 43] from Operation: 31+12=43
Current State: 40:[3, 43], Operations: ['15-12=3', '31+12=43']
Exploring Operation: 43-3=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
36,
85,
16,
92
] | 93 | [
"36+92=128",
"128/16=8",
"85+8=93"
] | Current State: 93:[36, 85, 16, 92], Operations: []
Exploring Operation: 36+92=128, Resulting Numbers: [85, 16, 128]
Generated Node #2: [85, 16, 128] from Operation: 36+92=128
Current State: 93:[85, 16, 128], Operations: ['36+92=128']
Exploring Operation: 128/16=8, Resulting Numbers: [85, 8]
Generated Node #3: [85, 8] from Operation: 128/16=8
Current State: 93:[85, 8], Operations: ['36+92=128', '128/16=8']
Exploring Operation: 85+8=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
40,
16,
32,
55
] | 17 | [
"55-40=15",
"32/16=2",
"15+2=17"
] | Current State: 17:[40, 16, 32, 55], Operations: []
Exploring Operation: 55-40=15, Resulting Numbers: [16, 32, 15]
Generated Node #2: [16, 32, 15] from Operation: 55-40=15
Current State: 17:[16, 32, 15], Operations: ['55-40=15']
Exploring Operation: 32/16=2, Resulting Numbers: [15, 2]
Generated Node #3: [15, 2] from Operation: 32/16=2
Current State: 17:[15, 2], Operations: ['55-40=15', '32/16=2']
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
47,
92,
20,
47
] | 92 | [
"47-47=0",
"20*0=0",
"92+0=92"
] | Current State: 92:[47, 92, 20, 47], Operations: []
Exploring Operation: 47-47=0, Resulting Numbers: [92, 20, 0]
Generated Node #2: [92, 20, 0] from Operation: 47-47=0
Current State: 92:[92, 20, 0], Operations: ['47-47=0']
Exploring Operation: 20*0=0, Resulting Numbers: [92, 0]
Generated Node #3: [92, 0] from Operation: 20*0=0
Current State: 92:[92, 0], Operations: ['47-47=0', '20*0=0']
Exploring Operation: 92+0=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
66,
57,
69,
85
] | 86 | [
"69-66=3",
"57*3=171",
"171-85=86"
] | Current State: 86:[66, 57, 69, 85], Operations: []
Exploring Operation: 69-66=3, Resulting Numbers: [57, 85, 3]
Generated Node #2: [57, 85, 3] from Operation: 69-66=3
Current State: 86:[57, 85, 3], Operations: ['69-66=3']
Exploring Operation: 57*3=171, Resulting Numbers: [85, 171]
Generated Node #3: [85, 171] from Operation: 57*3=171
Current State: 86:[85, 171], Operations: ['69-66=3', '57*3=171']
Exploring Operation: 171-85=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
77,
10,
72,
48
] | 91 | [
"77-10=67",
"72-48=24",
"67+24=91"
] | Current State: 91:[77, 10, 72, 48], Operations: []
Exploring Operation: 77-10=67, Resulting Numbers: [72, 48, 67]
Generated Node #2: [72, 48, 67] from Operation: 77-10=67
Current State: 91:[72, 48, 67], Operations: ['77-10=67']
Exploring Operation: 72-48=24, Resulting Numbers: [67, 24]
Generated Node #3: [67, 24] from Operation: 72-48=24
Current State: 91:[67, 24], Operations: ['77-10=67', '72-48=24']
Exploring Operation: 67+24=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
88,
96,
94,
89
] | 40 | [
"96-88=8",
"94-89=5",
"8*5=40"
] | Current State: 40:[88, 96, 94, 89], Operations: []
Exploring Operation: 96-88=8, Resulting Numbers: [94, 89, 8]
Generated Node #2: [94, 89, 8] from Operation: 96-88=8
Current State: 40:[94, 89, 8], Operations: ['96-88=8']
Exploring Operation: 94-89=5, Resulting Numbers: [8, 5]
Generated Node #3: [8, 5] from Operation: 94-89=5
Current State: 40:[8, 5], Operations: ['96-88=8', '94-89=5']
Exploring Operation: 8*5=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
45,
56,
14,
90
] | 25 | [
"45+56=101",
"90-14=76",
"101-76=25"
] | Current State: 25:[45, 56, 14, 90], Operations: []
Exploring Operation: 45+56=101, Resulting Numbers: [14, 90, 101]
Generated Node #2: [14, 90, 101] from Operation: 45+56=101
Current State: 25:[14, 90, 101], Operations: ['45+56=101']
Exploring Operation: 90-14=76, Resulting Numbers: [101, 76]
Generated Node #3: [101, 76] from Operation: 90-14=76
Current State: 25:[101, 76], Operations: ['45+56=101', '90-14=76']
Exploring Operation: 101-76=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
68,
74,
85,
2
] | 23 | [
"68*2=136",
"74+85=159",
"159-136=23"
] | Current State: 23:[68, 74, 85, 2], Operations: []
Exploring Operation: 68*2=136, Resulting Numbers: [74, 85, 136]
Generated Node #2: [74, 85, 136] from Operation: 68*2=136
Current State: 23:[74, 85, 136], Operations: ['68*2=136']
Exploring Operation: 74+85=159, Resulting Numbers: [136, 159]
Generated Node #3: [136, 159] from Operation: 74+85=159
Current State: 23:[136, 159], Operations: ['68*2=136', '74+85=159']
Exploring Operation: 159-136=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
56,
15,
30,
16
] | 64 | [
"30/15=2",
"16/2=8",
"56+8=64"
] | Current State: 64:[56, 15, 30, 16], Operations: []
Exploring Operation: 30/15=2, Resulting Numbers: [56, 16, 2]
Generated Node #2: [56, 16, 2] from Operation: 30/15=2
Current State: 64:[56, 16, 2], Operations: ['30/15=2']
Exploring Operation: 16/2=8, Resulting Numbers: [56, 8]
Generated Node #3: [56, 8] from Operation: 16/2=8
Current State: 64:[56, 8], Operations: ['30/15=2', '16/2=8']
Exploring Operation: 56+8=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
42,
8,
63,
6
] | 23 | [
"42-8=34",
"63-6=57",
"57-34=23"
] | Current State: 23:[42, 8, 63, 6], Operations: []
Exploring Operation: 42-8=34, Resulting Numbers: [63, 6, 34]
Generated Node #2: [63, 6, 34] from Operation: 42-8=34
Current State: 23:[63, 6, 34], Operations: ['42-8=34']
Exploring Operation: 63-6=57, Resulting Numbers: [34, 57]
Generated Node #3: [34, 57] from Operation: 63-6=57
Current State: 23:[34, 57], Operations: ['42-8=34', '63-6=57']
Exploring Operation: 57-34=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
87,
93,
37,
15
] | 25 | [
"87+93=180",
"180/15=12",
"37-12=25"
] | Current State: 25:[87, 93, 37, 15], Operations: []
Exploring Operation: 87+93=180, Resulting Numbers: [37, 15, 180]
Generated Node #2: [37, 15, 180] from Operation: 87+93=180
Current State: 25:[37, 15, 180], Operations: ['87+93=180']
Exploring Operation: 180/15=12, Resulting Numbers: [37, 12]
Generated Node #3: [37, 12] from Operation: 180/15=12
Current State: 25:[37, 12], Operations: ['87+93=180', '180/15=12']
Exploring Operation: 37-12=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
75,
87,
5,
53
] | 49 | [
"75/5=15",
"87-53=34",
"15+34=49"
] | Current State: 49:[75, 87, 5, 53], Operations: []
Exploring Operation: 75/5=15, Resulting Numbers: [87, 53, 15]
Generated Node #2: [87, 53, 15] from Operation: 75/5=15
Current State: 49:[87, 53, 15], Operations: ['75/5=15']
Exploring Operation: 87-53=34, Resulting Numbers: [15, 34]
Generated Node #3: [15, 34] from Operation: 87-53=34
Current State: 49:[15, 34], Operations: ['75/5=15', '87-53=34']
Exploring Operation: 15+34=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
49,
5,
59,
22
] | 27 | [
"49+5=54",
"59+22=81",
"81-54=27"
] | Current State: 27:[49, 5, 59, 22], Operations: []
Exploring Operation: 49+5=54, Resulting Numbers: [59, 22, 54]
Generated Node #2: [59, 22, 54] from Operation: 49+5=54
Current State: 27:[59, 22, 54], Operations: ['49+5=54']
Exploring Operation: 59+22=81, Resulting Numbers: [54, 81]
Generated Node #3: [54, 81] from Operation: 59+22=81
Current State: 27:[54, 81], Operations: ['49+5=54', '59+22=81']
Exploring Operation: 81-54=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
17,
14,
8,
18
] | 42 | [
"17-14=3",
"8*3=24",
"18+24=42"
] | Current State: 42:[17, 14, 8, 18], Operations: []
Exploring Operation: 17-14=3, Resulting Numbers: [8, 18, 3]
Generated Node #2: [8, 18, 3] from Operation: 17-14=3
Current State: 42:[8, 18, 3], Operations: ['17-14=3']
Exploring Operation: 8*3=24, Resulting Numbers: [18, 24]
Generated Node #3: [18, 24] from Operation: 8*3=24
Current State: 42:[18, 24], Operations: ['17-14=3', '8*3=24']
Exploring Operation: 18+24=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
28,
39,
26,
10
] | 31 | [
"28+39=67",
"26+10=36",
"67-36=31"
] | Current State: 31:[28, 39, 26, 10], Operations: []
Exploring Operation: 28+39=67, Resulting Numbers: [26, 10, 67]
Generated Node #2: [26, 10, 67] from Operation: 28+39=67
Current State: 31:[26, 10, 67], Operations: ['28+39=67']
Exploring Operation: 26+10=36, Resulting Numbers: [67, 36]
Generated Node #3: [67, 36] from Operation: 26+10=36
Current State: 31:[67, 36], Operations: ['28+39=67', '26+10=36']
Exploring Operation: 67-36=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
72,
28,
48,
1
] | 92 | [
"72-28=44",
"48*1=48",
"44+48=92"
] | Current State: 92:[72, 28, 48, 1], Operations: []
Exploring Operation: 72-28=44, Resulting Numbers: [48, 1, 44]
Generated Node #2: [48, 1, 44] from Operation: 72-28=44
Current State: 92:[48, 1, 44], Operations: ['72-28=44']
Exploring Operation: 48*1=48, Resulting Numbers: [44, 48]
Generated Node #3: [44, 48] from Operation: 48*1=48
Current State: 92:[44, 48], Operations: ['72-28=44', '48*1=48']
Exploring Operation: 44+48=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
78,
27,
45,
10
] | 60 | [
"78-27=51",
"51-45=6",
"10*6=60"
] | Current State: 60:[78, 27, 45, 10], Operations: []
Exploring Operation: 78-27=51, Resulting Numbers: [45, 10, 51]
Generated Node #2: [45, 10, 51] from Operation: 78-27=51
Current State: 60:[45, 10, 51], Operations: ['78-27=51']
Exploring Operation: 51-45=6, Resulting Numbers: [10, 6]
Generated Node #3: [10, 6] from Operation: 51-45=6
Current State: 60:[10, 6], Operations: ['78-27=51', '51-45=6']
Exploring Operation: 10*6=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
31,
32,
21,
25
] | 47 | [
"32-31=1",
"21+25=46",
"1+46=47"
] | Current State: 47:[31, 32, 21, 25], Operations: []
Exploring Operation: 32-31=1, Resulting Numbers: [21, 25, 1]
Generated Node #2: [21, 25, 1] from Operation: 32-31=1
Current State: 47:[21, 25, 1], Operations: ['32-31=1']
Exploring Operation: 21+25=46, Resulting Numbers: [1, 46]
Generated Node #3: [1, 46] from Operation: 21+25=46
Current State: 47:[1, 46], Operations: ['32-31=1', '21+25=46']
Exploring Operation: 1+46=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
2,
42,
4,
19
] | 63 | [
"42-2=40",
"4+19=23",
"40+23=63"
] | Current State: 63:[2, 42, 4, 19], Operations: []
Exploring Operation: 42-2=40, Resulting Numbers: [4, 19, 40]
Generated Node #2: [4, 19, 40] from Operation: 42-2=40
Current State: 63:[4, 19, 40], Operations: ['42-2=40']
Exploring Operation: 4+19=23, Resulting Numbers: [40, 23]
Generated Node #3: [40, 23] from Operation: 4+19=23
Current State: 63:[40, 23], Operations: ['42-2=40', '4+19=23']
Exploring Operation: 40+23=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
10,
18,
35,
17
] | 25 | [
"35-10=25",
"18-17=1",
"25*1=25"
] | Current State: 25:[10, 18, 35, 17], Operations: []
Exploring Operation: 35-10=25, Resulting Numbers: [18, 17, 25]
Generated Node #2: [18, 17, 25] from Operation: 35-10=25
Current State: 25:[18, 17, 25], Operations: ['35-10=25']
Exploring Operation: 18-17=1, Resulting Numbers: [25, 1]
Generated Node #3: [25, 1] from Operation: 18-17=1
Current State: 25:[25, 1], Operations: ['35-10=25', '18-17=1']
Exploring Operation: 25*1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
5,
60,
54,
50
] | 76 | [
"60+50=110",
"110/5=22",
"54+22=76"
] | Current State: 76:[5, 60, 54, 50], Operations: []
Exploring Operation: 60+50=110, Resulting Numbers: [5, 54, 110]
Generated Node #2: [5, 54, 110] from Operation: 60+50=110
Current State: 76:[5, 54, 110], Operations: ['60+50=110']
Exploring Operation: 110/5=22, Resulting Numbers: [54, 22]
Generated Node #3: [54, 22] from Operation: 110/5=22
Current State: 76:[54, 22], Operations: ['60+50=110', '110/5=22']
Exploring Operation: 54+22=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
36,
2,
23,
62
] | 36 | [
"36-23=13",
"2*13=26",
"62-26=36"
] | Current State: 36:[36, 2, 23, 62], Operations: []
Exploring Operation: 36-23=13, Resulting Numbers: [2, 62, 13]
Generated Node #2: [2, 62, 13] from Operation: 36-23=13
Current State: 36:[2, 62, 13], Operations: ['36-23=13']
Exploring Operation: 2*13=26, Resulting Numbers: [62, 26]
Generated Node #3: [62, 26] from Operation: 2*13=26
Current State: 36:[62, 26], Operations: ['36-23=13', '2*13=26']
Exploring Operation: 62-26=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
61,
82,
18,
2
] | 85 | [
"61+18=79",
"82*2=164",
"164-79=85"
] | Current State: 85:[61, 82, 18, 2], Operations: []
Exploring Operation: 61+18=79, Resulting Numbers: [82, 2, 79]
Generated Node #2: [82, 2, 79] from Operation: 61+18=79
Current State: 85:[82, 2, 79], Operations: ['61+18=79']
Exploring Operation: 82*2=164, Resulting Numbers: [79, 164]
Generated Node #3: [79, 164] from Operation: 82*2=164
Current State: 85:[79, 164], Operations: ['61+18=79', '82*2=164']
Exploring Operation: 164-79=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
19,
21,
41,
64
] | 17 | [
"19+21=40",
"64-41=23",
"40-23=17"
] | Current State: 17:[19, 21, 41, 64], Operations: []
Exploring Operation: 19+21=40, Resulting Numbers: [41, 64, 40]
Generated Node #2: [41, 64, 40] from Operation: 19+21=40
Current State: 17:[41, 64, 40], Operations: ['19+21=40']
Exploring Operation: 64-41=23, Resulting Numbers: [40, 23]
Generated Node #3: [40, 23] from Operation: 64-41=23
Current State: 17:[40, 23], Operations: ['19+21=40', '64-41=23']
Exploring Operation: 40-23=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
25,
7,
57,
56
] | 31 | [
"25+7=32",
"57-56=1",
"32-1=31"
] | Current State: 31:[25, 7, 57, 56], Operations: []
Exploring Operation: 25+7=32, Resulting Numbers: [57, 56, 32]
Generated Node #2: [57, 56, 32] from Operation: 25+7=32
Current State: 31:[57, 56, 32], Operations: ['25+7=32']
Exploring Operation: 57-56=1, Resulting Numbers: [32, 1]
Generated Node #3: [32, 1] from Operation: 57-56=1
Current State: 31:[32, 1], Operations: ['25+7=32', '57-56=1']
Exploring Operation: 32-1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
6,
37,
18,
45
] | 96 | [
"18-6=12",
"45-37=8",
"12*8=96"
] | Current State: 96:[6, 37, 18, 45], Operations: []
Exploring Operation: 18-6=12, Resulting Numbers: [37, 45, 12]
Generated Node #2: [37, 45, 12] from Operation: 18-6=12
Current State: 96:[37, 45, 12], Operations: ['18-6=12']
Exploring Operation: 45-37=8, Resulting Numbers: [12, 8]
Generated Node #3: [12, 8] from Operation: 45-37=8
Current State: 96:[12, 8], Operations: ['18-6=12', '45-37=8']
Exploring Operation: 12*8=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
96,
22,
23,
15
] | 82 | [
"96-22=74",
"23-15=8",
"74+8=82"
] | Current State: 82:[96, 22, 23, 15], Operations: []
Exploring Operation: 96-22=74, Resulting Numbers: [23, 15, 74]
Generated Node #2: [23, 15, 74] from Operation: 96-22=74
Current State: 82:[23, 15, 74], Operations: ['96-22=74']
Exploring Operation: 23-15=8, Resulting Numbers: [74, 8]
Generated Node #3: [74, 8] from Operation: 23-15=8
Current State: 82:[74, 8], Operations: ['96-22=74', '23-15=8']
Exploring Operation: 74+8=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
41,
70,
32,
63
] | 63 | [
"41-32=9",
"70-63=7",
"9*7=63"
] | Current State: 63:[41, 70, 32, 63], Operations: []
Exploring Operation: 41-32=9, Resulting Numbers: [70, 63, 9]
Generated Node #2: [70, 63, 9] from Operation: 41-32=9
Current State: 63:[70, 63, 9], Operations: ['41-32=9']
Exploring Operation: 70-63=7, Resulting Numbers: [9, 7]
Generated Node #3: [9, 7] from Operation: 70-63=7
Current State: 63:[9, 7], Operations: ['41-32=9', '70-63=7']
Exploring Operation: 9*7=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
34,
9,
7,
5
] | 78 | [
"34+9=43",
"7*5=35",
"43+35=78"
] | Current State: 78:[34, 9, 7, 5], Operations: []
Exploring Operation: 34+9=43, Resulting Numbers: [7, 5, 43]
Generated Node #2: [7, 5, 43] from Operation: 34+9=43
Current State: 78:[7, 5, 43], Operations: ['34+9=43']
Exploring Operation: 7*5=35, Resulting Numbers: [43, 35]
Generated Node #3: [43, 35] from Operation: 7*5=35
Current State: 78:[43, 35], Operations: ['34+9=43', '7*5=35']
Exploring Operation: 43+35=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
20,
84,
16,
35
] | 40 | [
"84+16=100",
"100/20=5",
"35+5=40"
] | Current State: 40:[20, 84, 16, 35], Operations: []
Exploring Operation: 84+16=100, Resulting Numbers: [20, 35, 100]
Generated Node #2: [20, 35, 100] from Operation: 84+16=100
Current State: 40:[20, 35, 100], Operations: ['84+16=100']
Exploring Operation: 100/20=5, Resulting Numbers: [35, 5]
Generated Node #3: [35, 5] from Operation: 100/20=5
Current State: 40:[35, 5], Operations: ['84+16=100', '100/20=5']
Exploring Operation: 35+5=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
4,
60,
16,
62
] | 24 | [
"16-4=12",
"62-60=2",
"12*2=24"
] | Current State: 24:[4, 60, 16, 62], Operations: []
Exploring Operation: 16-4=12, Resulting Numbers: [60, 62, 12]
Generated Node #2: [60, 62, 12] from Operation: 16-4=12
Current State: 24:[60, 62, 12], Operations: ['16-4=12']
Exploring Operation: 62-60=2, Resulting Numbers: [12, 2]
Generated Node #3: [12, 2] from Operation: 62-60=2
Current State: 24:[12, 2], Operations: ['16-4=12', '62-60=2']
Exploring Operation: 12*2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
28,
75,
48,
31
] | 69 | [
"31-28=3",
"48*3=144",
"144-75=69"
] | Current State: 69:[28, 75, 48, 31], Operations: []
Exploring Operation: 31-28=3, Resulting Numbers: [75, 48, 3]
Generated Node #2: [75, 48, 3] from Operation: 31-28=3
Current State: 69:[75, 48, 3], Operations: ['31-28=3']
Exploring Operation: 48*3=144, Resulting Numbers: [75, 144]
Generated Node #3: [75, 144] from Operation: 48*3=144
Current State: 69:[75, 144], Operations: ['31-28=3', '48*3=144']
Exploring Operation: 144-75=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
71,
74,
64,
10
] | 51 | [
"74-71=3",
"64-10=54",
"54-3=51"
] | Current State: 51:[71, 74, 64, 10], Operations: []
Exploring Operation: 74-71=3, Resulting Numbers: [64, 10, 3]
Generated Node #2: [64, 10, 3] from Operation: 74-71=3
Current State: 51:[64, 10, 3], Operations: ['74-71=3']
Exploring Operation: 64-10=54, Resulting Numbers: [3, 54]
Generated Node #3: [3, 54] from Operation: 64-10=54
Current State: 51:[3, 54], Operations: ['74-71=3', '64-10=54']
Exploring Operation: 54-3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
95,
41,
36,
72
] | 90 | [
"95-41=54",
"72-36=36",
"54+36=90"
] | Current State: 90:[95, 41, 36, 72], Operations: []
Exploring Operation: 95-41=54, Resulting Numbers: [36, 72, 54]
Generated Node #2: [36, 72, 54] from Operation: 95-41=54
Current State: 90:[36, 72, 54], Operations: ['95-41=54']
Exploring Operation: 72-36=36, Resulting Numbers: [54, 36]
Generated Node #3: [54, 36] from Operation: 72-36=36
Current State: 90:[54, 36], Operations: ['95-41=54', '72-36=36']
Exploring Operation: 54+36=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
57,
46,
9,
39
] | 73 | [
"57+46=103",
"39-9=30",
"103-30=73"
] | Current State: 73:[57, 46, 9, 39], Operations: []
Exploring Operation: 57+46=103, Resulting Numbers: [9, 39, 103]
Generated Node #2: [9, 39, 103] from Operation: 57+46=103
Current State: 73:[9, 39, 103], Operations: ['57+46=103']
Exploring Operation: 39-9=30, Resulting Numbers: [103, 30]
Generated Node #3: [103, 30] from Operation: 39-9=30
Current State: 73:[103, 30], Operations: ['57+46=103', '39-9=30']
Exploring Operation: 103-30=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
26,
9,
41,
69
] | 93 | [
"26-9=17",
"41+69=110",
"110-17=93"
] | Current State: 93:[26, 9, 41, 69], Operations: []
Exploring Operation: 26-9=17, Resulting Numbers: [41, 69, 17]
Generated Node #2: [41, 69, 17] from Operation: 26-9=17
Current State: 93:[41, 69, 17], Operations: ['26-9=17']
Exploring Operation: 41+69=110, Resulting Numbers: [17, 110]
Generated Node #3: [17, 110] from Operation: 41+69=110
Current State: 93:[17, 110], Operations: ['26-9=17', '41+69=110']
Exploring Operation: 110-17=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
36,
16,
40,
10
] | 82 | [
"36+16=52",
"40-10=30",
"52+30=82"
] | Current State: 82:[36, 16, 40, 10], Operations: []
Exploring Operation: 36+16=52, Resulting Numbers: [40, 10, 52]
Generated Node #2: [40, 10, 52] from Operation: 36+16=52
Current State: 82:[40, 10, 52], Operations: ['36+16=52']
Exploring Operation: 40-10=30, Resulting Numbers: [52, 30]
Generated Node #3: [52, 30] from Operation: 40-10=30
Current State: 82:[52, 30], Operations: ['36+16=52', '40-10=30']
Exploring Operation: 52+30=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
12,
37,
69,
73
] | 85 | [
"73-69=4",
"12*4=48",
"37+48=85"
] | Current State: 85:[12, 37, 69, 73], Operations: []
Exploring Operation: 73-69=4, Resulting Numbers: [12, 37, 4]
Generated Node #2: [12, 37, 4] from Operation: 73-69=4
Current State: 85:[12, 37, 4], Operations: ['73-69=4']
Exploring Operation: 12*4=48, Resulting Numbers: [37, 48]
Generated Node #3: [37, 48] from Operation: 12*4=48
Current State: 85:[37, 48], Operations: ['73-69=4', '12*4=48']
Exploring Operation: 37+48=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
85,
49,
32,
66
] | 70 | [
"85-49=36",
"66-32=34",
"36+34=70"
] | Current State: 70:[85, 49, 32, 66], Operations: []
Exploring Operation: 85-49=36, Resulting Numbers: [32, 66, 36]
Generated Node #2: [32, 66, 36] from Operation: 85-49=36
Current State: 70:[32, 66, 36], Operations: ['85-49=36']
Exploring Operation: 66-32=34, Resulting Numbers: [36, 34]
Generated Node #3: [36, 34] from Operation: 66-32=34
Current State: 70:[36, 34], Operations: ['85-49=36', '66-32=34']
Exploring Operation: 36+34=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
26,
53,
99,
18
] | 66 | [
"53-26=27",
"99*18=1782",
"1782/27=66"
] | Current State: 66:[26, 53, 99, 18], Operations: []
Exploring Operation: 53-26=27, Resulting Numbers: [99, 18, 27]
Generated Node #2: [99, 18, 27] from Operation: 53-26=27
Current State: 66:[99, 18, 27], Operations: ['53-26=27']
Exploring Operation: 99*18=1782, Resulting Numbers: [27, 1782]
Generated Node #3: [27, 1782] from Operation: 99*18=1782
Current State: 66:[27, 1782], Operations: ['53-26=27', '99*18=1782']
Exploring Operation: 1782/27=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
27,
5,
17,
36
] | 68 | [
"27+5=32",
"36-32=4",
"17*4=68"
] | Current State: 68:[27, 5, 17, 36], Operations: []
Exploring Operation: 27+5=32, Resulting Numbers: [17, 36, 32]
Generated Node #2: [17, 36, 32] from Operation: 27+5=32
Current State: 68:[17, 36, 32], Operations: ['27+5=32']
Exploring Operation: 36-32=4, Resulting Numbers: [17, 4]
Generated Node #3: [17, 4] from Operation: 36-32=4
Current State: 68:[17, 4], Operations: ['27+5=32', '36-32=4']
Exploring Operation: 17*4=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
42,
27,
4,
49
] | 55 | [
"49-42=7",
"4*7=28",
"27+28=55"
] | Current State: 55:[42, 27, 4, 49], Operations: []
Exploring Operation: 49-42=7, Resulting Numbers: [27, 4, 7]
Generated Node #2: [27, 4, 7] from Operation: 49-42=7
Current State: 55:[27, 4, 7], Operations: ['49-42=7']
Exploring Operation: 4*7=28, Resulting Numbers: [27, 28]
Generated Node #3: [27, 28] from Operation: 4*7=28
Current State: 55:[27, 28], Operations: ['49-42=7', '4*7=28']
Exploring Operation: 27+28=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
47,
14,
11,
73
] | 78 | [
"73-47=26",
"14-11=3",
"26*3=78"
] | Current State: 78:[47, 14, 11, 73], Operations: []
Exploring Operation: 73-47=26, Resulting Numbers: [14, 11, 26]
Generated Node #2: [14, 11, 26] from Operation: 73-47=26
Current State: 78:[14, 11, 26], Operations: ['73-47=26']
Exploring Operation: 14-11=3, Resulting Numbers: [26, 3]
Generated Node #3: [26, 3] from Operation: 14-11=3
Current State: 78:[26, 3], Operations: ['73-47=26', '14-11=3']
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
36,
90,
42,
32
] | 25 | [
"42-32=10",
"90*10=900",
"900/36=25"
] | Current State: 25:[36, 90, 42, 32], Operations: []
Exploring Operation: 42-32=10, Resulting Numbers: [36, 90, 10]
Generated Node #2: [36, 90, 10] from Operation: 42-32=10
Current State: 25:[36, 90, 10], Operations: ['42-32=10']
Exploring Operation: 90*10=900, Resulting Numbers: [36, 900]
Generated Node #3: [36, 900] from Operation: 90*10=900
Current State: 25:[36, 900], Operations: ['42-32=10', '90*10=900']
Exploring Operation: 900/36=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
66,
68,
43,
29
] | 74 | [
"68-66=2",
"43+29=72",
"2+72=74"
] | Current State: 74:[66, 68, 43, 29], Operations: []
Exploring Operation: 68-66=2, Resulting Numbers: [43, 29, 2]
Generated Node #2: [43, 29, 2] from Operation: 68-66=2
Current State: 74:[43, 29, 2], Operations: ['68-66=2']
Exploring Operation: 43+29=72, Resulting Numbers: [2, 72]
Generated Node #3: [2, 72] from Operation: 43+29=72
Current State: 74:[2, 72], Operations: ['68-66=2', '43+29=72']
Exploring Operation: 2+72=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
19,
10,
15,
84
] | 13 | [
"84-19=65",
"15-10=5",
"65/5=13"
] | Current State: 13:[19, 10, 15, 84], Operations: []
Exploring Operation: 84-19=65, Resulting Numbers: [10, 15, 65]
Generated Node #2: [10, 15, 65] from Operation: 84-19=65
Current State: 13:[10, 15, 65], Operations: ['84-19=65']
Exploring Operation: 15-10=5, Resulting Numbers: [65, 5]
Generated Node #3: [65, 5] from Operation: 15-10=5
Current State: 13:[65, 5], Operations: ['84-19=65', '15-10=5']
Exploring Operation: 65/5=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
32,
10,
52,
70
] | 77 | [
"32+52=84",
"70/10=7",
"84-7=77"
] | Current State: 77:[32, 10, 52, 70], Operations: []
Exploring Operation: 32+52=84, Resulting Numbers: [10, 70, 84]
Generated Node #2: [10, 70, 84] from Operation: 32+52=84
Current State: 77:[10, 70, 84], Operations: ['32+52=84']
Exploring Operation: 70/10=7, Resulting Numbers: [84, 7]
Generated Node #3: [84, 7] from Operation: 70/10=7
Current State: 77:[84, 7], Operations: ['32+52=84', '70/10=7']
Exploring Operation: 84-7=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
97,
24,
66,
91
] | 70 | [
"97-91=6",
"24/6=4",
"66+4=70"
] | Current State: 70:[97, 24, 66, 91], Operations: []
Exploring Operation: 97-91=6, Resulting Numbers: [24, 66, 6]
Generated Node #2: [24, 66, 6] from Operation: 97-91=6
Current State: 70:[24, 66, 6], Operations: ['97-91=6']
Exploring Operation: 24/6=4, Resulting Numbers: [66, 4]
Generated Node #3: [66, 4] from Operation: 24/6=4
Current State: 70:[66, 4], Operations: ['97-91=6', '24/6=4']
Exploring Operation: 66+4=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
53,
68,
19,
72
] | 74 | [
"53-19=34",
"68/34=2",
"72+2=74"
] | Current State: 74:[53, 68, 19, 72], Operations: []
Exploring Operation: 53-19=34, Resulting Numbers: [68, 72, 34]
Generated Node #2: [68, 72, 34] from Operation: 53-19=34
Current State: 74:[68, 72, 34], Operations: ['53-19=34']
Exploring Operation: 68/34=2, Resulting Numbers: [72, 2]
Generated Node #3: [72, 2] from Operation: 68/34=2
Current State: 74:[72, 2], Operations: ['53-19=34', '68/34=2']
Exploring Operation: 72+2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
52,
48,
3,
52
] | 52 | [
"52-48=4",
"4-3=1",
"52*1=52"
] | Current State: 52:[52, 48, 3, 52], Operations: []
Exploring Operation: 52-48=4, Resulting Numbers: [3, 4]
Generated Node #2: [3, 4] from Operation: 52-48=4
Current State: 52:[3, 4], Operations: ['52-48=4']
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,52 equal: Goal Reached
Exploring Operation: 52*1=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
73,
17,
30,
5
] | 42 | [
"73-30=43",
"17*5=85",
"85-43=42"
] | Current State: 42:[73, 17, 30, 5], Operations: []
Exploring Operation: 73-30=43, Resulting Numbers: [17, 5, 43]
Generated Node #2: [17, 5, 43] from Operation: 73-30=43
Current State: 42:[17, 5, 43], Operations: ['73-30=43']
Exploring Operation: 17*5=85, Resulting Numbers: [43, 85]
Generated Node #3: [43, 85] from Operation: 17*5=85
Current State: 42:[43, 85], Operations: ['73-30=43', '17*5=85']
Exploring Operation: 85-43=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
3,
97,
7,
66
] | 27 | [
"3+97=100",
"7+66=73",
"100-73=27"
] | Current State: 27:[3, 97, 7, 66], Operations: []
Exploring Operation: 3+97=100, Resulting Numbers: [7, 66, 100]
Generated Node #2: [7, 66, 100] from Operation: 3+97=100
Current State: 27:[7, 66, 100], Operations: ['3+97=100']
Exploring Operation: 7+66=73, Resulting Numbers: [100, 73]
Generated Node #3: [100, 73] from Operation: 7+66=73
Current State: 27:[100, 73], Operations: ['3+97=100', '7+66=73']
Exploring Operation: 100-73=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
3,
33,
50,
44
] | 36 | [
"33-3=30",
"50-44=6",
"30+6=36"
] | Current State: 36:[3, 33, 50, 44], Operations: []
Exploring Operation: 33-3=30, Resulting Numbers: [50, 44, 30]
Generated Node #2: [50, 44, 30] from Operation: 33-3=30
Current State: 36:[50, 44, 30], Operations: ['33-3=30']
Exploring Operation: 50-44=6, Resulting Numbers: [30, 6]
Generated Node #3: [30, 6] from Operation: 50-44=6
Current State: 36:[30, 6], Operations: ['33-3=30', '50-44=6']
Exploring Operation: 30+6=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
28,
5,
52,
50
] | 46 | [
"28-5=23",
"52-50=2",
"23*2=46"
] | Current State: 46:[28, 5, 52, 50], Operations: []
Exploring Operation: 28-5=23, Resulting Numbers: [52, 50, 23]
Generated Node #2: [52, 50, 23] from Operation: 28-5=23
Current State: 46:[52, 50, 23], Operations: ['28-5=23']
Exploring Operation: 52-50=2, Resulting Numbers: [23, 2]
Generated Node #3: [23, 2] from Operation: 52-50=2
Current State: 46:[23, 2], Operations: ['28-5=23', '52-50=2']
Exploring Operation: 23*2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
72,
87,
10,
3
] | 50 | [
"87-72=15",
"10*15=150",
"150/3=50"
] | Current State: 50:[72, 87, 10, 3], Operations: []
Exploring Operation: 87-72=15, Resulting Numbers: [10, 3, 15]
Generated Node #2: [10, 3, 15] from Operation: 87-72=15
Current State: 50:[10, 3, 15], Operations: ['87-72=15']
Exploring Operation: 10*15=150, Resulting Numbers: [3, 150]
Generated Node #3: [3, 150] from Operation: 10*15=150
Current State: 50:[3, 150], Operations: ['87-72=15', '10*15=150']
Exploring Operation: 150/3=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
14,
33,
23,
68
] | 64 | [
"33-14=19",
"68-23=45",
"19+45=64"
] | Current State: 64:[14, 33, 23, 68], Operations: []
Exploring Operation: 33-14=19, Resulting Numbers: [23, 68, 19]
Generated Node #2: [23, 68, 19] from Operation: 33-14=19
Current State: 64:[23, 68, 19], Operations: ['33-14=19']
Exploring Operation: 68-23=45, Resulting Numbers: [19, 45]
Generated Node #3: [19, 45] from Operation: 68-23=45
Current State: 64:[19, 45], Operations: ['33-14=19', '68-23=45']
Exploring Operation: 19+45=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
52,
33,
72,
81
] | 76 | [
"52+33=85",
"81-72=9",
"85-9=76"
] | Current State: 76:[52, 33, 72, 81], Operations: []
Exploring Operation: 52+33=85, Resulting Numbers: [72, 81, 85]
Generated Node #2: [72, 81, 85] from Operation: 52+33=85
Current State: 76:[72, 81, 85], Operations: ['52+33=85']
Exploring Operation: 81-72=9, Resulting Numbers: [85, 9]
Generated Node #3: [85, 9] from Operation: 81-72=9
Current State: 76:[85, 9], Operations: ['52+33=85', '81-72=9']
Exploring Operation: 85-9=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
46,
59,
51,
83
] | 45 | [
"59-46=13",
"83-51=32",
"13+32=45"
] | Current State: 45:[46, 59, 51, 83], Operations: []
Exploring Operation: 59-46=13, Resulting Numbers: [51, 83, 13]
Generated Node #2: [51, 83, 13] from Operation: 59-46=13
Current State: 45:[51, 83, 13], Operations: ['59-46=13']
Exploring Operation: 83-51=32, Resulting Numbers: [13, 32]
Generated Node #3: [13, 32] from Operation: 83-51=32
Current State: 45:[13, 32], Operations: ['59-46=13', '83-51=32']
Exploring Operation: 13+32=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
28,
95,
83,
88
] | 47 | [
"88-83=5",
"95/5=19",
"28+19=47"
] | Current State: 47:[28, 95, 83, 88], Operations: []
Exploring Operation: 88-83=5, Resulting Numbers: [28, 95, 5]
Generated Node #2: [28, 95, 5] from Operation: 88-83=5
Current State: 47:[28, 95, 5], Operations: ['88-83=5']
Exploring Operation: 95/5=19, Resulting Numbers: [28, 19]
Generated Node #3: [28, 19] from Operation: 95/5=19
Current State: 47:[28, 19], Operations: ['88-83=5', '95/5=19']
Exploring Operation: 28+19=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
12,
44,
40,
82
] | 34 | [
"44-40=4",
"12*4=48",
"82-48=34"
] | Current State: 34:[12, 44, 40, 82], Operations: []
Exploring Operation: 44-40=4, Resulting Numbers: [12, 82, 4]
Generated Node #2: [12, 82, 4] from Operation: 44-40=4
Current State: 34:[12, 82, 4], Operations: ['44-40=4']
Exploring Operation: 12*4=48, Resulting Numbers: [82, 48]
Generated Node #3: [82, 48] from Operation: 12*4=48
Current State: 34:[82, 48], Operations: ['44-40=4', '12*4=48']
Exploring Operation: 82-48=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
26,
90,
6,
73
] | 32 | [
"73-26=47",
"90/6=15",
"47-15=32"
] | Current State: 32:[26, 90, 6, 73], Operations: []
Exploring Operation: 73-26=47, Resulting Numbers: [90, 6, 47]
Generated Node #2: [90, 6, 47] from Operation: 73-26=47
Current State: 32:[90, 6, 47], Operations: ['73-26=47']
Exploring Operation: 90/6=15, Resulting Numbers: [47, 15]
Generated Node #3: [47, 15] from Operation: 90/6=15
Current State: 32:[47, 15], Operations: ['73-26=47', '90/6=15']
Exploring Operation: 47-15=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
3,
67,
35,
92
] | 90 | [
"3+67=70",
"70/35=2",
"92-2=90"
] | Current State: 90:[3, 67, 35, 92], Operations: []
Exploring Operation: 3+67=70, Resulting Numbers: [35, 92, 70]
Generated Node #2: [35, 92, 70] from Operation: 3+67=70
Current State: 90:[35, 92, 70], Operations: ['3+67=70']
Exploring Operation: 70/35=2, Resulting Numbers: [92, 2]
Generated Node #3: [92, 2] from Operation: 70/35=2
Current State: 90:[92, 2], Operations: ['3+67=70', '70/35=2']
Exploring Operation: 92-2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
33,
13,
6,
84
] | 28 | [
"33+6=39",
"13*84=1092",
"1092/39=28"
] | Current State: 28:[33, 13, 6, 84], Operations: []
Exploring Operation: 33+6=39, Resulting Numbers: [13, 84, 39]
Generated Node #2: [13, 84, 39] from Operation: 33+6=39
Current State: 28:[13, 84, 39], Operations: ['33+6=39']
Exploring Operation: 13*84=1092, Resulting Numbers: [39, 1092]
Generated Node #3: [39, 1092] from Operation: 13*84=1092
Current State: 28:[39, 1092], Operations: ['33+6=39', '13*84=1092']
Exploring Operation: 1092/39=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
58,
61,
17,
75
] | 89 | [
"61-58=3",
"17+75=92",
"92-3=89"
] | Current State: 89:[58, 61, 17, 75], Operations: []
Exploring Operation: 61-58=3, Resulting Numbers: [17, 75, 3]
Generated Node #2: [17, 75, 3] from Operation: 61-58=3
Current State: 89:[17, 75, 3], Operations: ['61-58=3']
Exploring Operation: 17+75=92, Resulting Numbers: [3, 92]
Generated Node #3: [3, 92] from Operation: 17+75=92
Current State: 89:[3, 92], Operations: ['61-58=3', '17+75=92']
Exploring Operation: 92-3=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
14,
30,
31,
95
] | 48 | [
"30-14=16",
"95-31=64",
"64-16=48"
] | Current State: 48:[14, 30, 31, 95], Operations: []
Exploring Operation: 30-14=16, Resulting Numbers: [31, 95, 16]
Generated Node #2: [31, 95, 16] from Operation: 30-14=16
Current State: 48:[31, 95, 16], Operations: ['30-14=16']
Exploring Operation: 95-31=64, Resulting Numbers: [16, 64]
Generated Node #3: [16, 64] from Operation: 95-31=64
Current State: 48:[16, 64], Operations: ['30-14=16', '95-31=64']
Exploring Operation: 64-16=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
42,
99,
3,
73
] | 71 | [
"42+99=141",
"73-3=70",
"141-70=71"
] | Current State: 71:[42, 99, 3, 73], Operations: []
Exploring Operation: 42+99=141, Resulting Numbers: [3, 73, 141]
Generated Node #2: [3, 73, 141] from Operation: 42+99=141
Current State: 71:[3, 73, 141], Operations: ['42+99=141']
Exploring Operation: 73-3=70, Resulting Numbers: [141, 70]
Generated Node #3: [141, 70] from Operation: 73-3=70
Current State: 71:[141, 70], Operations: ['42+99=141', '73-3=70']
Exploring Operation: 141-70=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
99,
84,
92,
4
] | 38 | [
"99-84=15",
"92/4=23",
"15+23=38"
] | Current State: 38:[99, 84, 92, 4], Operations: []
Exploring Operation: 99-84=15, Resulting Numbers: [92, 4, 15]
Generated Node #2: [92, 4, 15] from Operation: 99-84=15
Current State: 38:[92, 4, 15], Operations: ['99-84=15']
Exploring Operation: 92/4=23, Resulting Numbers: [15, 23]
Generated Node #3: [15, 23] from Operation: 92/4=23
Current State: 38:[15, 23], Operations: ['99-84=15', '92/4=23']
Exploring Operation: 15+23=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
72,
28,
86,
84
] | 17 | [
"86-72=14",
"84/28=3",
"14+3=17"
] | Current State: 17:[72, 28, 86, 84], Operations: []
Exploring Operation: 86-72=14, Resulting Numbers: [28, 84, 14]
Generated Node #2: [28, 84, 14] from Operation: 86-72=14
Current State: 17:[28, 84, 14], Operations: ['86-72=14']
Exploring Operation: 84/28=3, Resulting Numbers: [14, 3]
Generated Node #3: [14, 3] from Operation: 84/28=3
Current State: 17:[14, 3], Operations: ['86-72=14', '84/28=3']
Exploring Operation: 14+3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
4,
73,
42,
71
] | 17 | [
"73-71=2",
"42/2=21",
"21-4=17"
] | Current State: 17:[4, 73, 42, 71], Operations: []
Exploring Operation: 73-71=2, Resulting Numbers: [4, 42, 2]
Generated Node #2: [4, 42, 2] from Operation: 73-71=2
Current State: 17:[4, 42, 2], Operations: ['73-71=2']
Exploring Operation: 42/2=21, Resulting Numbers: [4, 21]
Generated Node #3: [4, 21] from Operation: 42/2=21
Current State: 17:[4, 21], Operations: ['73-71=2', '42/2=21']
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
20,
16,
3,
24
] | 99 | [
"20-16=4",
"24*4=96",
"3+96=99"
] | Current State: 99:[20, 16, 3, 24], Operations: []
Exploring Operation: 20-16=4, Resulting Numbers: [3, 24, 4]
Generated Node #2: [3, 24, 4] from Operation: 20-16=4
Current State: 99:[3, 24, 4], Operations: ['20-16=4']
Exploring Operation: 24*4=96, Resulting Numbers: [3, 96]
Generated Node #3: [3, 96] from Operation: 24*4=96
Current State: 99:[3, 96], Operations: ['20-16=4', '24*4=96']
Exploring Operation: 3+96=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
12,
60,
62,
80
] | 54 | [
"12+60=72",
"80-62=18",
"72-18=54"
] | Current State: 54:[12, 60, 62, 80], Operations: []
Exploring Operation: 12+60=72, Resulting Numbers: [62, 80, 72]
Generated Node #2: [62, 80, 72] from Operation: 12+60=72
Current State: 54:[62, 80, 72], Operations: ['12+60=72']
Exploring Operation: 80-62=18, Resulting Numbers: [72, 18]
Generated Node #3: [72, 18] from Operation: 80-62=18
Current State: 54:[72, 18], Operations: ['12+60=72', '80-62=18']
Exploring Operation: 72-18=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
32,
37,
38,
96
] | 11 | [
"32+37=69",
"96-38=58",
"69-58=11"
] | Current State: 11:[32, 37, 38, 96], Operations: []
Exploring Operation: 32+37=69, Resulting Numbers: [38, 96, 69]
Generated Node #2: [38, 96, 69] from Operation: 32+37=69
Current State: 11:[38, 96, 69], Operations: ['32+37=69']
Exploring Operation: 96-38=58, Resulting Numbers: [69, 58]
Generated Node #3: [69, 58] from Operation: 96-38=58
Current State: 11:[69, 58], Operations: ['32+37=69', '96-38=58']
Exploring Operation: 69-58=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
72,
97,
5,
88
] | 58 | [
"97-72=25",
"88-5=83",
"83-25=58"
] | Current State: 58:[72, 97, 5, 88], Operations: []
Exploring Operation: 97-72=25, Resulting Numbers: [5, 88, 25]
Generated Node #2: [5, 88, 25] from Operation: 97-72=25
Current State: 58:[5, 88, 25], Operations: ['97-72=25']
Exploring Operation: 88-5=83, Resulting Numbers: [25, 83]
Generated Node #3: [25, 83] from Operation: 88-5=83
Current State: 58:[25, 83], Operations: ['97-72=25', '88-5=83']
Exploring Operation: 83-25=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
11,
95,
60,
36
] | 11 | [
"95-60=35",
"36-35=1",
"11*1=11"
] | Current State: 11:[11, 95, 60, 36], Operations: []
Exploring Operation: 95-60=35, Resulting Numbers: [11, 36, 35]
Generated Node #2: [11, 36, 35] from Operation: 95-60=35
Current State: 11:[11, 36, 35], Operations: ['95-60=35']
Exploring Operation: 36-35=1, Resulting Numbers: [11, 1]
Generated Node #3: [11, 1] from Operation: 36-35=1
Current State: 11:[11, 1], Operations: ['95-60=35', '36-35=1']
Exploring Operation: 11*1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
52,
6,
39,
97
] | 89 | [
"52*6=312",
"312/39=8",
"97-8=89"
] | Current State: 89:[52, 6, 39, 97], Operations: []
Exploring Operation: 52*6=312, Resulting Numbers: [39, 97, 312]
Generated Node #2: [39, 97, 312] from Operation: 52*6=312
Current State: 89:[39, 97, 312], Operations: ['52*6=312']
Exploring Operation: 312/39=8, Resulting Numbers: [97, 8]
Generated Node #3: [97, 8] from Operation: 312/39=8
Current State: 89:[97, 8], Operations: ['52*6=312', '312/39=8']
Exploring Operation: 97-8=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
53,
77,
12,
61
] | 49 | [
"77-53=24",
"12+61=73",
"73-24=49"
] | Current State: 49:[53, 77, 12, 61], Operations: []
Exploring Operation: 77-53=24, Resulting Numbers: [12, 61, 24]
Generated Node #2: [12, 61, 24] from Operation: 77-53=24
Current State: 49:[12, 61, 24], Operations: ['77-53=24']
Exploring Operation: 12+61=73, Resulting Numbers: [24, 73]
Generated Node #3: [24, 73] from Operation: 12+61=73
Current State: 49:[24, 73], Operations: ['77-53=24', '12+61=73']
Exploring Operation: 73-24=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
85,
43,
19,
59
] | 50 | [
"85+43=128",
"19+59=78",
"128-78=50"
] | Current State: 50:[85, 43, 19, 59], Operations: []
Exploring Operation: 85+43=128, Resulting Numbers: [19, 59, 128]
Generated Node #2: [19, 59, 128] from Operation: 85+43=128
Current State: 50:[19, 59, 128], Operations: ['85+43=128']
Exploring Operation: 19+59=78, Resulting Numbers: [128, 78]
Generated Node #3: [128, 78] from Operation: 19+59=78
Current State: 50:[128, 78], Operations: ['85+43=128', '19+59=78']
Exploring Operation: 128-78=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
32,
76,
92,
8
] | 25 | [
"32+76=108",
"92+108=200",
"200/8=25"
] | Current State: 25:[32, 76, 92, 8], Operations: []
Exploring Operation: 32+76=108, Resulting Numbers: [92, 8, 108]
Generated Node #2: [92, 8, 108] from Operation: 32+76=108
Current State: 25:[92, 8, 108], Operations: ['32+76=108']
Exploring Operation: 92+108=200, Resulting Numbers: [8, 200]
Generated Node #3: [8, 200] from Operation: 92+108=200
Current State: 25:[8, 200], Operations: ['32+76=108', '92+108=200']
Exploring Operation: 200/8=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
44,
3,
47,
37
] | 51 | [
"44-3=41",
"47-37=10",
"41+10=51"
] | Current State: 51:[44, 3, 47, 37], Operations: []
Exploring Operation: 44-3=41, Resulting Numbers: [47, 37, 41]
Generated Node #2: [47, 37, 41] from Operation: 44-3=41
Current State: 51:[47, 37, 41], Operations: ['44-3=41']
Exploring Operation: 47-37=10, Resulting Numbers: [41, 10]
Generated Node #3: [41, 10] from Operation: 47-37=10
Current State: 51:[41, 10], Operations: ['44-3=41', '47-37=10']
Exploring Operation: 41+10=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
2,
74,
28,
72
] | 28 | [
"74-2=72",
"28+72=100",
"100-72=28"
] | Current State: 28:[2, 74, 28, 72], Operations: []
Exploring Operation: 74-2=72, Resulting Numbers: [28, 72, 72]
Generated Node #2: [28, 72, 72] from Operation: 74-2=72
Current State: 28:[28, 72, 72], Operations: ['74-2=72']
Exploring Operation: 28+72=100, Resulting Numbers: [100]
100,28 equal: Goal Reached
Exploring Operation: 100-72=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
83,
9,
80,
97
] | 94 | [
"83-80=3",
"9/3=3",
"97-3=94"
] | Current State: 94:[83, 9, 80, 97], Operations: []
Exploring Operation: 83-80=3, Resulting Numbers: [9, 97, 3]
Generated Node #2: [9, 97, 3] from Operation: 83-80=3
Current State: 94:[9, 97, 3], Operations: ['83-80=3']
Exploring Operation: 9/3=3, Resulting Numbers: [97, 3]
Generated Node #3: [97, 3] from Operation: 9/3=3
Current State: 94:[97, 3], Operations: ['83-80=3', '9/3=3']
Exploring Operation: 97-3=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
55,
76,
27,
8
] | 96 | [
"55+76=131",
"27+8=35",
"131-35=96"
] | Current State: 96:[55, 76, 27, 8], Operations: []
Exploring Operation: 55+76=131, Resulting Numbers: [27, 8, 131]
Generated Node #2: [27, 8, 131] from Operation: 55+76=131
Current State: 96:[27, 8, 131], Operations: ['55+76=131']
Exploring Operation: 27+8=35, Resulting Numbers: [131, 35]
Generated Node #3: [131, 35] from Operation: 27+8=35
Current State: 96:[131, 35], Operations: ['55+76=131', '27+8=35']
Exploring Operation: 131-35=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
18,
90,
94,
85
] | 71 | [
"18+90=108",
"94+85=179",
"179-108=71"
] | Current State: 71:[18, 90, 94, 85], Operations: []
Exploring Operation: 18+90=108, Resulting Numbers: [94, 85, 108]
Generated Node #2: [94, 85, 108] from Operation: 18+90=108
Current State: 71:[94, 85, 108], Operations: ['18+90=108']
Exploring Operation: 94+85=179, Resulting Numbers: [108, 179]
Generated Node #3: [108, 179] from Operation: 94+85=179
Current State: 71:[108, 179], Operations: ['18+90=108', '94+85=179']
Exploring Operation: 179-108=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
58,
25,
83,
84
] | 34 | [
"58-25=33",
"84-83=1",
"33+1=34"
] | Current State: 34:[58, 25, 83, 84], Operations: []
Exploring Operation: 58-25=33, Resulting Numbers: [83, 84, 33]
Generated Node #2: [83, 84, 33] from Operation: 58-25=33
Current State: 34:[83, 84, 33], Operations: ['58-25=33']
Exploring Operation: 84-83=1, Resulting Numbers: [33, 1]
Generated Node #3: [33, 1] from Operation: 84-83=1
Current State: 34:[33, 1], Operations: ['58-25=33', '84-83=1']
Exploring Operation: 33+1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
29,
28,
53,
77
] | 73 | [
"29+28=57",
"53+77=130",
"130-57=73"
] | Current State: 73:[29, 28, 53, 77], Operations: []
Exploring Operation: 29+28=57, Resulting Numbers: [53, 77, 57]
Generated Node #2: [53, 77, 57] from Operation: 29+28=57
Current State: 73:[53, 77, 57], Operations: ['29+28=57']
Exploring Operation: 53+77=130, Resulting Numbers: [57, 130]
Generated Node #3: [57, 130] from Operation: 53+77=130
Current State: 73:[57, 130], Operations: ['29+28=57', '53+77=130']
Exploring Operation: 130-57=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
12,
85,
72,
81
] | 15 | [
"72-12=60",
"85-81=4",
"60/4=15"
] | Current State: 15:[12, 85, 72, 81], Operations: []
Exploring Operation: 72-12=60, Resulting Numbers: [85, 81, 60]
Generated Node #2: [85, 81, 60] from Operation: 72-12=60
Current State: 15:[85, 81, 60], Operations: ['72-12=60']
Exploring Operation: 85-81=4, Resulting Numbers: [60, 4]
Generated Node #3: [60, 4] from Operation: 85-81=4
Current State: 15:[60, 4], Operations: ['72-12=60', '85-81=4']
Exploring Operation: 60/4=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
71,
75,
11,
93
] | 73 | [
"93-71=22",
"22/11=2",
"75-2=73"
] | Current State: 73:[71, 75, 11, 93], Operations: []
Exploring Operation: 93-71=22, Resulting Numbers: [75, 11, 22]
Generated Node #2: [75, 11, 22] from Operation: 93-71=22
Current State: 73:[75, 11, 22], Operations: ['93-71=22']
Exploring Operation: 22/11=2, Resulting Numbers: [75, 2]
Generated Node #3: [75, 2] from Operation: 22/11=2
Current State: 73:[75, 2], Operations: ['93-71=22', '22/11=2']
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
65,
39,
27,
15
] | 38 | [
"65-39=26",
"27-15=12",
"26+12=38"
] | Current State: 38:[65, 39, 27, 15], Operations: []
Exploring Operation: 65-39=26, Resulting Numbers: [27, 15, 26]
Generated Node #2: [27, 15, 26] from Operation: 65-39=26
Current State: 38:[27, 15, 26], Operations: ['65-39=26']
Exploring Operation: 27-15=12, Resulting Numbers: [26, 12]
Generated Node #3: [26, 12] from Operation: 27-15=12
Current State: 38:[26, 12], Operations: ['65-39=26', '27-15=12']
Exploring Operation: 26+12=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
3,
27,
56,
67
] | 41 | [
"3+27=30",
"67-56=11",
"30+11=41"
] | Current State: 41:[3, 27, 56, 67], Operations: []
Exploring Operation: 3+27=30, Resulting Numbers: [56, 67, 30]
Generated Node #2: [56, 67, 30] from Operation: 3+27=30
Current State: 41:[56, 67, 30], Operations: ['3+27=30']
Exploring Operation: 67-56=11, Resulting Numbers: [30, 11]
Generated Node #3: [30, 11] from Operation: 67-56=11
Current State: 41:[30, 11], Operations: ['3+27=30', '67-56=11']
Exploring Operation: 30+11=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
4,
18,
58,
55
] | 74 | [
"18+58=76",
"76/4=19",
"55+19=74"
] | Current State: 74:[4, 18, 58, 55], Operations: []
Exploring Operation: 18+58=76, Resulting Numbers: [4, 55, 76]
Generated Node #2: [4, 55, 76] from Operation: 18+58=76
Current State: 74:[4, 55, 76], Operations: ['18+58=76']
Exploring Operation: 76/4=19, Resulting Numbers: [55, 19]
Generated Node #3: [55, 19] from Operation: 76/4=19
Current State: 74:[55, 19], Operations: ['18+58=76', '76/4=19']
Exploring Operation: 55+19=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
4,
93,
1,
42
] | 19 | [
"93-1=92",
"92/4=23",
"42-23=19"
] | Current State: 19:[4, 93, 1, 42], Operations: []
Exploring Operation: 93-1=92, Resulting Numbers: [4, 42, 92]
Generated Node #2: [4, 42, 92] from Operation: 93-1=92
Current State: 19:[4, 42, 92], Operations: ['93-1=92']
Exploring Operation: 92/4=23, Resulting Numbers: [42, 23]
Generated Node #3: [42, 23] from Operation: 92/4=23
Current State: 19:[42, 23], Operations: ['93-1=92', '92/4=23']
Exploring Operation: 42-23=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
93,
69,
7,
1
] | 17 | [
"93-69=24",
"7*1=7",
"24-7=17"
] | Current State: 17:[93, 69, 7, 1], Operations: []
Exploring Operation: 93-69=24, Resulting Numbers: [7, 1, 24]
Generated Node #2: [7, 1, 24] from Operation: 93-69=24
Current State: 17:[7, 1, 24], Operations: ['93-69=24']
Exploring Operation: 7*1=7, Resulting Numbers: [24, 7]
Generated Node #3: [24, 7] from Operation: 7*1=7
Current State: 17:[24, 7], Operations: ['93-69=24', '7*1=7']
Exploring Operation: 24-7=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
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