nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
43,
70,
36,
87
] | 97 | [
"43-36=7",
"70/7=10",
"87+10=97"
] | Current State: 97:[43, 70, 36, 87], Operations: []
Exploring Operation: 43-36=7, Resulting Numbers: [70, 87, 7]
Generated Node #2: [70, 87, 7] from Operation: 43-36=7
Current State: 97:[70, 87, 7], Operations: ['43-36=7']
Exploring Operation: 70/7=10, Resulting Numbers: [87, 10]
Generated Node #3: [87, 10] from Operation: 70/7=10
Current State: 97:[87, 10], Operations: ['43-36=7', '70/7=10']
Exploring Operation: 87+10=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
18,
19,
21,
64
] | 44 | [
"19-18=1",
"64-21=43",
"1+43=44"
] | Current State: 44:[18, 19, 21, 64], Operations: []
Exploring Operation: 19-18=1, Resulting Numbers: [21, 64, 1]
Generated Node #2: [21, 64, 1] from Operation: 19-18=1
Current State: 44:[21, 64, 1], Operations: ['19-18=1']
Exploring Operation: 64-21=43, Resulting Numbers: [1, 43]
Generated Node #3: [1, 43] from Operation: 64-21=43
Current State: 44:[1, 43], Operations: ['19-18=1', '64-21=43']
Exploring Operation: 1+43=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
94,
49,
47,
77
] | 79 | [
"94-49=45",
"47+77=124",
"124-45=79"
] | Current State: 79:[94, 49, 47, 77], Operations: []
Exploring Operation: 94-49=45, Resulting Numbers: [47, 77, 45]
Generated Node #2: [47, 77, 45] from Operation: 94-49=45
Current State: 79:[47, 77, 45], Operations: ['94-49=45']
Exploring Operation: 47+77=124, Resulting Numbers: [45, 124]
Generated Node #3: [45, 124] from Operation: 47+77=124
Current State: 79:[45, 124], Operations: ['94-49=45', '47+77=124']
Exploring Operation: 124-45=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
37,
40,
63,
9
] | 90 | [
"40-37=3",
"9*3=27",
"63+27=90"
] | Current State: 90:[37, 40, 63, 9], Operations: []
Exploring Operation: 40-37=3, Resulting Numbers: [63, 9, 3]
Generated Node #2: [63, 9, 3] from Operation: 40-37=3
Current State: 90:[63, 9, 3], Operations: ['40-37=3']
Exploring Operation: 9*3=27, Resulting Numbers: [63, 27]
Generated Node #3: [63, 27] from Operation: 9*3=27
Current State: 90:[63, 27], Operations: ['40-37=3', '9*3=27']
Exploring Operation: 63+27=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
75,
76,
87,
38
] | 50 | [
"76-75=1",
"87-38=49",
"1+49=50"
] | Current State: 50:[75, 76, 87, 38], Operations: []
Exploring Operation: 76-75=1, Resulting Numbers: [87, 38, 1]
Generated Node #2: [87, 38, 1] from Operation: 76-75=1
Current State: 50:[87, 38, 1], Operations: ['76-75=1']
Exploring Operation: 87-38=49, Resulting Numbers: [1, 49]
Generated Node #3: [1, 49] from Operation: 87-38=49
Current State: 50:[1, 49], Operations: ['76-75=1', '87-38=49']
Exploring Operation: 1+49=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
94,
18,
51,
50
] | 59 | [
"94+50=144",
"144/18=8",
"51+8=59"
] | Current State: 59:[94, 18, 51, 50], Operations: []
Exploring Operation: 94+50=144, Resulting Numbers: [18, 51, 144]
Generated Node #2: [18, 51, 144] from Operation: 94+50=144
Current State: 59:[18, 51, 144], Operations: ['94+50=144']
Exploring Operation: 144/18=8, Resulting Numbers: [51, 8]
Generated Node #3: [51, 8] from Operation: 144/18=8
Current State: 59:[51, 8], Operations: ['94+50=144', '144/18=8']
Exploring Operation: 51+8=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
84,
90,
82,
93
] | 87 | [
"84-82=2",
"90*2=180",
"180-93=87"
] | Current State: 87:[84, 90, 82, 93], Operations: []
Exploring Operation: 84-82=2, Resulting Numbers: [90, 93, 2]
Generated Node #2: [90, 93, 2] from Operation: 84-82=2
Current State: 87:[90, 93, 2], Operations: ['84-82=2']
Exploring Operation: 90*2=180, Resulting Numbers: [93, 180]
Generated Node #3: [93, 180] from Operation: 90*2=180
Current State: 87:[93, 180], Operations: ['84-82=2', '90*2=180']
Exploring Operation: 180-93=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
13,
2,
18,
48
] | 71 | [
"48-13=35",
"2*18=36",
"35+36=71"
] | Current State: 71:[13, 2, 18, 48], Operations: []
Exploring Operation: 48-13=35, Resulting Numbers: [2, 18, 35]
Generated Node #2: [2, 18, 35] from Operation: 48-13=35
Current State: 71:[2, 18, 35], Operations: ['48-13=35']
Exploring Operation: 2*18=36, Resulting Numbers: [35, 36]
Generated Node #3: [35, 36] from Operation: 2*18=36
Current State: 71:[35, 36], Operations: ['48-13=35', '2*18=36']
Exploring Operation: 35+36=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
81,
78,
24,
35
] | 75 | [
"81+24=105",
"105/35=3",
"78-3=75"
] | Current State: 75:[81, 78, 24, 35], Operations: []
Exploring Operation: 81+24=105, Resulting Numbers: [78, 35, 105]
Generated Node #2: [78, 35, 105] from Operation: 81+24=105
Current State: 75:[78, 35, 105], Operations: ['81+24=105']
Exploring Operation: 105/35=3, Resulting Numbers: [78, 3]
Generated Node #3: [78, 3] from Operation: 105/35=3
Current State: 75:[78, 3], Operations: ['81+24=105', '105/35=3']
Exploring Operation: 78-3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
11,
76,
65,
77
] | 66 | [
"65*77=5005",
"11+5005=5016",
"5016/76=66"
] | Current State: 66:[11, 76, 65, 77], Operations: []
Exploring Operation: 65*77=5005, Resulting Numbers: [11, 76, 5005]
Generated Node #2: [11, 76, 5005] from Operation: 65*77=5005
Current State: 66:[11, 76, 5005], Operations: ['65*77=5005']
Exploring Operation: 11+5005=5016, Resulting Numbers: [76, 5016]
Generated Node #3: [76, 5016] from Operation: 11+5005=5016
Current State: 66:[76, 5016], Operations: ['65*77=5005', '11+5005=5016']
Exploring Operation: 5016/76=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
87,
42,
41,
42
] | 45 | [
"87-42=45",
"42-41=1",
"45*1=45"
] | Current State: 45:[87, 42, 41, 42], Operations: []
Exploring Operation: 87-42=45, Resulting Numbers: [41, 45]
Generated Node #2: [41, 45] from Operation: 87-42=45
Current State: 45:[41, 45], Operations: ['87-42=45']
Exploring Operation: 42-41=1, Resulting Numbers: [45, 1]
Generated Node #3: [45, 1] from Operation: 42-41=1
Current State: 45:[45, 1], Operations: ['87-42=45', '42-41=1']
Exploring Operation: 45*1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
10,
37,
88,
9
] | 74 | [
"10*9=90",
"90-88=2",
"37*2=74"
] | Current State: 74:[10, 37, 88, 9], Operations: []
Exploring Operation: 10*9=90, Resulting Numbers: [37, 88, 90]
Generated Node #2: [37, 88, 90] from Operation: 10*9=90
Current State: 74:[37, 88, 90], Operations: ['10*9=90']
Exploring Operation: 90-88=2, Resulting Numbers: [37, 2]
Generated Node #3: [37, 2] from Operation: 90-88=2
Current State: 74:[37, 2], Operations: ['10*9=90', '90-88=2']
Exploring Operation: 37*2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
71,
2,
17,
94
] | 91 | [
"71+17=88",
"94+88=182",
"182/2=91"
] | Current State: 91:[71, 2, 17, 94], Operations: []
Exploring Operation: 71+17=88, Resulting Numbers: [2, 94, 88]
Generated Node #2: [2, 94, 88] from Operation: 71+17=88
Current State: 91:[2, 94, 88], Operations: ['71+17=88']
Exploring Operation: 94+88=182, Resulting Numbers: [2, 182]
Generated Node #3: [2, 182] from Operation: 94+88=182
Current State: 91:[2, 182], Operations: ['71+17=88', '94+88=182']
Exploring Operation: 182/2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
27,
96,
97,
50
] | 77 | [
"27+50=77",
"97-96=1",
"77*1=77"
] | Current State: 77:[27, 96, 97, 50], Operations: []
Exploring Operation: 27+50=77, Resulting Numbers: [96, 97, 77]
Generated Node #2: [96, 97, 77] from Operation: 27+50=77
Current State: 77:[96, 97, 77], Operations: ['27+50=77']
Exploring Operation: 97-96=1, Resulting Numbers: [77, 1]
Generated Node #3: [77, 1] from Operation: 97-96=1
Current State: 77:[77, 1], Operations: ['27+50=77', '97-96=1']
Exploring Operation: 77*1=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
77,
88,
75,
86
] | 90 | [
"77-75=2",
"88*2=176",
"176-86=90"
] | Current State: 90:[77, 88, 75, 86], Operations: []
Exploring Operation: 77-75=2, Resulting Numbers: [88, 86, 2]
Generated Node #2: [88, 86, 2] from Operation: 77-75=2
Current State: 90:[88, 86, 2], Operations: ['77-75=2']
Exploring Operation: 88*2=176, Resulting Numbers: [86, 176]
Generated Node #3: [86, 176] from Operation: 88*2=176
Current State: 90:[86, 176], Operations: ['77-75=2', '88*2=176']
Exploring Operation: 176-86=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
2,
46,
25,
41
] | 31 | [
"46-25=21",
"41+21=62",
"62/2=31"
] | Current State: 31:[2, 46, 25, 41], Operations: []
Exploring Operation: 46-25=21, Resulting Numbers: [2, 41, 21]
Generated Node #2: [2, 41, 21] from Operation: 46-25=21
Current State: 31:[2, 41, 21], Operations: ['46-25=21']
Exploring Operation: 41+21=62, Resulting Numbers: [2, 62]
Generated Node #3: [2, 62] from Operation: 41+21=62
Current State: 31:[2, 62], Operations: ['46-25=21', '41+21=62']
Exploring Operation: 62/2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
54,
23,
27,
18
] | 28 | [
"54*23=1242",
"1242/27=46",
"46-18=28"
] | Current State: 28:[54, 23, 27, 18], Operations: []
Exploring Operation: 54*23=1242, Resulting Numbers: [27, 18, 1242]
Generated Node #2: [27, 18, 1242] from Operation: 54*23=1242
Current State: 28:[27, 18, 1242], Operations: ['54*23=1242']
Exploring Operation: 1242/27=46, Resulting Numbers: [18, 46]
Generated Node #3: [18, 46] from Operation: 1242/27=46
Current State: 28:[18, 46], Operations: ['54*23=1242', '1242/27=46']
Exploring Operation: 46-18=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
31,
58,
53,
4
] | 40 | [
"31+58=89",
"53-4=49",
"89-49=40"
] | Current State: 40:[31, 58, 53, 4], Operations: []
Exploring Operation: 31+58=89, Resulting Numbers: [53, 4, 89]
Generated Node #2: [53, 4, 89] from Operation: 31+58=89
Current State: 40:[53, 4, 89], Operations: ['31+58=89']
Exploring Operation: 53-4=49, Resulting Numbers: [89, 49]
Generated Node #3: [89, 49] from Operation: 53-4=49
Current State: 40:[89, 49], Operations: ['31+58=89', '53-4=49']
Exploring Operation: 89-49=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
35,
25,
84,
29
] | 66 | [
"35-29=6",
"25*6=150",
"150-84=66"
] | Current State: 66:[35, 25, 84, 29], Operations: []
Exploring Operation: 35-29=6, Resulting Numbers: [25, 84, 6]
Generated Node #2: [25, 84, 6] from Operation: 35-29=6
Current State: 66:[25, 84, 6], Operations: ['35-29=6']
Exploring Operation: 25*6=150, Resulting Numbers: [84, 150]
Generated Node #3: [84, 150] from Operation: 25*6=150
Current State: 66:[84, 150], Operations: ['35-29=6', '25*6=150']
Exploring Operation: 150-84=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
32,
13,
6,
48
] | 24 | [
"32-6=26",
"13*48=624",
"624/26=24"
] | Current State: 24:[32, 13, 6, 48], Operations: []
Exploring Operation: 32-6=26, Resulting Numbers: [13, 48, 26]
Generated Node #2: [13, 48, 26] from Operation: 32-6=26
Current State: 24:[13, 48, 26], Operations: ['32-6=26']
Exploring Operation: 13*48=624, Resulting Numbers: [26, 624]
Generated Node #3: [26, 624] from Operation: 13*48=624
Current State: 24:[26, 624], Operations: ['32-6=26', '13*48=624']
Exploring Operation: 624/26=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
19,
60,
41,
26
] | 27 | [
"60-19=41",
"41/41=1",
"26+1=27"
] | Current State: 27:[19, 60, 41, 26], Operations: []
Exploring Operation: 60-19=41, Resulting Numbers: [41, 26, 41]
Generated Node #2: [41, 26, 41] from Operation: 60-19=41
Current State: 27:[41, 26, 41], Operations: ['60-19=41']
Exploring Operation: 41/41=1, Resulting Numbers: [26, 1]
Generated Node #3: [26, 1] from Operation: 41/41=1
Current State: 27:[26, 1], Operations: ['60-19=41', '41/41=1']
Exploring Operation: 26+1=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
95,
37,
34,
75
] | 85 | [
"95*34=3230",
"75-37=38",
"3230/38=85"
] | Current State: 85:[95, 37, 34, 75], Operations: []
Exploring Operation: 95*34=3230, Resulting Numbers: [37, 75, 3230]
Generated Node #2: [37, 75, 3230] from Operation: 95*34=3230
Current State: 85:[37, 75, 3230], Operations: ['95*34=3230']
Exploring Operation: 75-37=38, Resulting Numbers: [3230, 38]
Generated Node #3: [3230, 38] from Operation: 75-37=38
Current State: 85:[3230, 38], Operations: ['95*34=3230', '75-37=38']
Exploring Operation: 3230/38=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
9,
12,
3,
71
] | 77 | [
"12-9=3",
"3+71=74",
"3+74=77"
] | Current State: 77:[9, 12, 3, 71], Operations: []
Exploring Operation: 12-9=3, Resulting Numbers: [3, 71, 3]
Generated Node #2: [3, 71, 3] from Operation: 12-9=3
Current State: 77:[3, 71, 3], Operations: ['12-9=3']
Exploring Operation: 3+71=74, Resulting Numbers: [74]
74,77 equal: Goal Reached
Exploring Operation: 3+74=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
43,
33,
25,
2
] | 37 | [
"43-33=10",
"25+2=27",
"10+27=37"
] | Current State: 37:[43, 33, 25, 2], Operations: []
Exploring Operation: 43-33=10, Resulting Numbers: [25, 2, 10]
Generated Node #2: [25, 2, 10] from Operation: 43-33=10
Current State: 37:[25, 2, 10], Operations: ['43-33=10']
Exploring Operation: 25+2=27, Resulting Numbers: [10, 27]
Generated Node #3: [10, 27] from Operation: 25+2=27
Current State: 37:[10, 27], Operations: ['43-33=10', '25+2=27']
Exploring Operation: 10+27=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
75,
52,
47,
12
] | 15 | [
"52-47=5",
"12*5=60",
"75-60=15"
] | Current State: 15:[75, 52, 47, 12], Operations: []
Exploring Operation: 52-47=5, Resulting Numbers: [75, 12, 5]
Generated Node #2: [75, 12, 5] from Operation: 52-47=5
Current State: 15:[75, 12, 5], Operations: ['52-47=5']
Exploring Operation: 12*5=60, Resulting Numbers: [75, 60]
Generated Node #3: [75, 60] from Operation: 12*5=60
Current State: 15:[75, 60], Operations: ['52-47=5', '12*5=60']
Exploring Operation: 75-60=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
25,
51,
26,
33
] | 84 | [
"26-25=1",
"51+33=84",
"1*84=84"
] | Current State: 84:[25, 51, 26, 33], Operations: []
Exploring Operation: 26-25=1, Resulting Numbers: [51, 33, 1]
Generated Node #2: [51, 33, 1] from Operation: 26-25=1
Current State: 84:[51, 33, 1], Operations: ['26-25=1']
Exploring Operation: 51+33=84, Resulting Numbers: [1, 84]
Generated Node #3: [1, 84] from Operation: 51+33=84
Current State: 84:[1, 84], Operations: ['26-25=1', '51+33=84']
Exploring Operation: 1*84=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
31,
88,
90,
79
] | 68 | [
"88-31=57",
"90-79=11",
"57+11=68"
] | Current State: 68:[31, 88, 90, 79], Operations: []
Exploring Operation: 88-31=57, Resulting Numbers: [90, 79, 57]
Generated Node #2: [90, 79, 57] from Operation: 88-31=57
Current State: 68:[90, 79, 57], Operations: ['88-31=57']
Exploring Operation: 90-79=11, Resulting Numbers: [57, 11]
Generated Node #3: [57, 11] from Operation: 90-79=11
Current State: 68:[57, 11], Operations: ['88-31=57', '90-79=11']
Exploring Operation: 57+11=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
83,
59,
3,
46
] | 99 | [
"83+59=142",
"46-3=43",
"142-43=99"
] | Current State: 99:[83, 59, 3, 46], Operations: []
Exploring Operation: 83+59=142, Resulting Numbers: [3, 46, 142]
Generated Node #2: [3, 46, 142] from Operation: 83+59=142
Current State: 99:[3, 46, 142], Operations: ['83+59=142']
Exploring Operation: 46-3=43, Resulting Numbers: [142, 43]
Generated Node #3: [142, 43] from Operation: 46-3=43
Current State: 99:[142, 43], Operations: ['83+59=142', '46-3=43']
Exploring Operation: 142-43=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
69,
49,
97,
2
] | 93 | [
"97-49=48",
"48/2=24",
"69+24=93"
] | Current State: 93:[69, 49, 97, 2], Operations: []
Exploring Operation: 97-49=48, Resulting Numbers: [69, 2, 48]
Generated Node #2: [69, 2, 48] from Operation: 97-49=48
Current State: 93:[69, 2, 48], Operations: ['97-49=48']
Exploring Operation: 48/2=24, Resulting Numbers: [69, 24]
Generated Node #3: [69, 24] from Operation: 48/2=24
Current State: 93:[69, 24], Operations: ['97-49=48', '48/2=24']
Exploring Operation: 69+24=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
36,
99,
54,
32
] | 23 | [
"99-36=63",
"54+32=86",
"86-63=23"
] | Current State: 23:[36, 99, 54, 32], Operations: []
Exploring Operation: 99-36=63, Resulting Numbers: [54, 32, 63]
Generated Node #2: [54, 32, 63] from Operation: 99-36=63
Current State: 23:[54, 32, 63], Operations: ['99-36=63']
Exploring Operation: 54+32=86, Resulting Numbers: [63, 86]
Generated Node #3: [63, 86] from Operation: 54+32=86
Current State: 23:[63, 86], Operations: ['99-36=63', '54+32=86']
Exploring Operation: 86-63=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
62,
82,
55,
44
] | 16 | [
"82-62=20",
"44*20=880",
"880/55=16"
] | Current State: 16:[62, 82, 55, 44], Operations: []
Exploring Operation: 82-62=20, Resulting Numbers: [55, 44, 20]
Generated Node #2: [55, 44, 20] from Operation: 82-62=20
Current State: 16:[55, 44, 20], Operations: ['82-62=20']
Exploring Operation: 44*20=880, Resulting Numbers: [55, 880]
Generated Node #3: [55, 880] from Operation: 44*20=880
Current State: 16:[55, 880], Operations: ['82-62=20', '44*20=880']
Exploring Operation: 880/55=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
54,
95,
8,
17
] | 95 | [
"95-54=41",
"8*17=136",
"136-41=95"
] | Current State: 95:[54, 95, 8, 17], Operations: []
Exploring Operation: 95-54=41, Resulting Numbers: [8, 17, 41]
Generated Node #2: [8, 17, 41] from Operation: 95-54=41
Current State: 95:[8, 17, 41], Operations: ['95-54=41']
Exploring Operation: 8*17=136, Resulting Numbers: [41, 136]
Generated Node #3: [41, 136] from Operation: 8*17=136
Current State: 95:[41, 136], Operations: ['95-54=41', '8*17=136']
Exploring Operation: 136-41=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
81,
47,
25,
92
] | 33 | [
"81-47=34",
"92-25=67",
"67-34=33"
] | Current State: 33:[81, 47, 25, 92], Operations: []
Exploring Operation: 81-47=34, Resulting Numbers: [25, 92, 34]
Generated Node #2: [25, 92, 34] from Operation: 81-47=34
Current State: 33:[25, 92, 34], Operations: ['81-47=34']
Exploring Operation: 92-25=67, Resulting Numbers: [34, 67]
Generated Node #3: [34, 67] from Operation: 92-25=67
Current State: 33:[34, 67], Operations: ['81-47=34', '92-25=67']
Exploring Operation: 67-34=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
37,
49,
37,
46
] | 46 | [
"37-37=0",
"49*0=0",
"46+0=46"
] | Current State: 46:[37, 49, 37, 46], Operations: []
Exploring Operation: 37-37=0, Resulting Numbers: [49, 46, 0]
Generated Node #2: [49, 46, 0] from Operation: 37-37=0
Current State: 46:[49, 46, 0], Operations: ['37-37=0']
Exploring Operation: 49*0=0, Resulting Numbers: [46, 0]
Generated Node #3: [46, 0] from Operation: 49*0=0
Current State: 46:[46, 0], Operations: ['37-37=0', '49*0=0']
Exploring Operation: 46+0=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
47,
63,
2,
44
] | 22 | [
"47+63=110",
"2*44=88",
"110-88=22"
] | Current State: 22:[47, 63, 2, 44], Operations: []
Exploring Operation: 47+63=110, Resulting Numbers: [2, 44, 110]
Generated Node #2: [2, 44, 110] from Operation: 47+63=110
Current State: 22:[2, 44, 110], Operations: ['47+63=110']
Exploring Operation: 2*44=88, Resulting Numbers: [110, 88]
Generated Node #3: [110, 88] from Operation: 2*44=88
Current State: 22:[110, 88], Operations: ['47+63=110', '2*44=88']
Exploring Operation: 110-88=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
89,
40,
5,
21
] | 24 | [
"89+40=129",
"5*21=105",
"129-105=24"
] | Current State: 24:[89, 40, 5, 21], Operations: []
Exploring Operation: 89+40=129, Resulting Numbers: [5, 21, 129]
Generated Node #2: [5, 21, 129] from Operation: 89+40=129
Current State: 24:[5, 21, 129], Operations: ['89+40=129']
Exploring Operation: 5*21=105, Resulting Numbers: [129, 105]
Generated Node #3: [129, 105] from Operation: 5*21=105
Current State: 24:[129, 105], Operations: ['89+40=129', '5*21=105']
Exploring Operation: 129-105=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
76,
39,
37,
69
] | 14 | [
"76-69=7",
"39-37=2",
"7*2=14"
] | Current State: 14:[76, 39, 37, 69], Operations: []
Exploring Operation: 76-69=7, Resulting Numbers: [39, 37, 7]
Generated Node #2: [39, 37, 7] from Operation: 76-69=7
Current State: 14:[39, 37, 7], Operations: ['76-69=7']
Exploring Operation: 39-37=2, Resulting Numbers: [7, 2]
Generated Node #3: [7, 2] from Operation: 39-37=2
Current State: 14:[7, 2], Operations: ['76-69=7', '39-37=2']
Exploring Operation: 7*2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
57,
57,
17,
32
] | 32 | [
"57-57=0",
"17*0=0",
"32+0=32"
] | Current State: 32:[57, 57, 17, 32], Operations: []
Exploring Operation: 57-57=0, Resulting Numbers: [17, 32, 0]
Generated Node #2: [17, 32, 0] from Operation: 57-57=0
Current State: 32:[17, 32, 0], Operations: ['57-57=0']
Exploring Operation: 17*0=0, Resulting Numbers: [32, 0]
Generated Node #3: [32, 0] from Operation: 17*0=0
Current State: 32:[32, 0], Operations: ['57-57=0', '17*0=0']
Exploring Operation: 32+0=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
90,
18,
20,
28
] | 53 | [
"90*18=1620",
"1620/20=81",
"81-28=53"
] | Current State: 53:[90, 18, 20, 28], Operations: []
Exploring Operation: 90*18=1620, Resulting Numbers: [20, 28, 1620]
Generated Node #2: [20, 28, 1620] from Operation: 90*18=1620
Current State: 53:[20, 28, 1620], Operations: ['90*18=1620']
Exploring Operation: 1620/20=81, Resulting Numbers: [28, 81]
Generated Node #3: [28, 81] from Operation: 1620/20=81
Current State: 53:[28, 81], Operations: ['90*18=1620', '1620/20=81']
Exploring Operation: 81-28=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
7,
84,
31,
78
] | 30 | [
"84-7=77",
"78-31=47",
"77-47=30"
] | Current State: 30:[7, 84, 31, 78], Operations: []
Exploring Operation: 84-7=77, Resulting Numbers: [31, 78, 77]
Generated Node #2: [31, 78, 77] from Operation: 84-7=77
Current State: 30:[31, 78, 77], Operations: ['84-7=77']
Exploring Operation: 78-31=47, Resulting Numbers: [77, 47]
Generated Node #3: [77, 47] from Operation: 78-31=47
Current State: 30:[77, 47], Operations: ['84-7=77', '78-31=47']
Exploring Operation: 77-47=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
70,
20,
62,
31
] | 81 | [
"70-20=50",
"62-31=31",
"50+31=81"
] | Current State: 81:[70, 20, 62, 31], Operations: []
Exploring Operation: 70-20=50, Resulting Numbers: [62, 31, 50]
Generated Node #2: [62, 31, 50] from Operation: 70-20=50
Current State: 81:[62, 31, 50], Operations: ['70-20=50']
Exploring Operation: 62-31=31, Resulting Numbers: [50, 31]
Generated Node #3: [50, 31] from Operation: 62-31=31
Current State: 81:[50, 31], Operations: ['70-20=50', '62-31=31']
Exploring Operation: 50+31=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
69,
17,
98,
9
] | 37 | [
"69-17=52",
"98-9=89",
"89-52=37"
] | Current State: 37:[69, 17, 98, 9], Operations: []
Exploring Operation: 69-17=52, Resulting Numbers: [98, 9, 52]
Generated Node #2: [98, 9, 52] from Operation: 69-17=52
Current State: 37:[98, 9, 52], Operations: ['69-17=52']
Exploring Operation: 98-9=89, Resulting Numbers: [52, 89]
Generated Node #3: [52, 89] from Operation: 98-9=89
Current State: 37:[52, 89], Operations: ['69-17=52', '98-9=89']
Exploring Operation: 89-52=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
76,
84,
39,
6
] | 41 | [
"84-76=8",
"39-6=33",
"8+33=41"
] | Current State: 41:[76, 84, 39, 6], Operations: []
Exploring Operation: 84-76=8, Resulting Numbers: [39, 6, 8]
Generated Node #2: [39, 6, 8] from Operation: 84-76=8
Current State: 41:[39, 6, 8], Operations: ['84-76=8']
Exploring Operation: 39-6=33, Resulting Numbers: [8, 33]
Generated Node #3: [8, 33] from Operation: 39-6=33
Current State: 41:[8, 33], Operations: ['84-76=8', '39-6=33']
Exploring Operation: 8+33=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
94,
1,
1,
26
] | 73 | [
"1+1=2",
"94/2=47",
"26+47=73"
] | Current State: 73:[94, 1, 1, 26], Operations: []
Exploring Operation: 1+1=2, Resulting Numbers: [94, 26, 2]
Generated Node #2: [94, 26, 2] from Operation: 1+1=2
Current State: 73:[94, 26, 2], Operations: ['1+1=2']
Exploring Operation: 94/2=47, Resulting Numbers: [26, 47]
Generated Node #3: [26, 47] from Operation: 94/2=47
Current State: 73:[26, 47], Operations: ['1+1=2', '94/2=47']
Exploring Operation: 26+47=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
54,
81,
78,
2
] | 49 | [
"81-54=27",
"78-2=76",
"76-27=49"
] | Current State: 49:[54, 81, 78, 2], Operations: []
Exploring Operation: 81-54=27, Resulting Numbers: [78, 2, 27]
Generated Node #2: [78, 2, 27] from Operation: 81-54=27
Current State: 49:[78, 2, 27], Operations: ['81-54=27']
Exploring Operation: 78-2=76, Resulting Numbers: [27, 76]
Generated Node #3: [27, 76] from Operation: 78-2=76
Current State: 49:[27, 76], Operations: ['81-54=27', '78-2=76']
Exploring Operation: 76-27=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
68,
42,
11,
7
] | 92 | [
"68+42=110",
"11+7=18",
"110-18=92"
] | Current State: 92:[68, 42, 11, 7], Operations: []
Exploring Operation: 68+42=110, Resulting Numbers: [11, 7, 110]
Generated Node #2: [11, 7, 110] from Operation: 68+42=110
Current State: 92:[11, 7, 110], Operations: ['68+42=110']
Exploring Operation: 11+7=18, Resulting Numbers: [110, 18]
Generated Node #3: [110, 18] from Operation: 11+7=18
Current State: 92:[110, 18], Operations: ['68+42=110', '11+7=18']
Exploring Operation: 110-18=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
55,
8,
2,
63
] | 66 | [
"63-55=8",
"8*8=64",
"2+64=66"
] | Current State: 66:[55, 8, 2, 63], Operations: []
Exploring Operation: 63-55=8, Resulting Numbers: [8, 2, 8]
Generated Node #2: [8, 2, 8] from Operation: 63-55=8
Current State: 66:[8, 2, 8], Operations: ['63-55=8']
Exploring Operation: 8*8=64, Resulting Numbers: [2, 64]
Generated Node #3: [2, 64] from Operation: 8*8=64
Current State: 66:[2, 64], Operations: ['63-55=8', '8*8=64']
Exploring Operation: 2+64=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
16,
67,
19,
87
] | 29 | [
"16*87=1392",
"67-19=48",
"1392/48=29"
] | Current State: 29:[16, 67, 19, 87], Operations: []
Exploring Operation: 16*87=1392, Resulting Numbers: [67, 19, 1392]
Generated Node #2: [67, 19, 1392] from Operation: 16*87=1392
Current State: 29:[67, 19, 1392], Operations: ['16*87=1392']
Exploring Operation: 67-19=48, Resulting Numbers: [1392, 48]
Generated Node #3: [1392, 48] from Operation: 67-19=48
Current State: 29:[1392, 48], Operations: ['16*87=1392', '67-19=48']
Exploring Operation: 1392/48=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
75,
11,
84,
29
] | 70 | [
"84-75=9",
"11*9=99",
"99-29=70"
] | Current State: 70:[75, 11, 84, 29], Operations: []
Exploring Operation: 84-75=9, Resulting Numbers: [11, 29, 9]
Generated Node #2: [11, 29, 9] from Operation: 84-75=9
Current State: 70:[11, 29, 9], Operations: ['84-75=9']
Exploring Operation: 11*9=99, Resulting Numbers: [29, 99]
Generated Node #3: [29, 99] from Operation: 11*9=99
Current State: 70:[29, 99], Operations: ['84-75=9', '11*9=99']
Exploring Operation: 99-29=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
50,
87,
1,
64
] | 72 | [
"50+87=137",
"1+64=65",
"137-65=72"
] | Current State: 72:[50, 87, 1, 64], Operations: []
Exploring Operation: 50+87=137, Resulting Numbers: [1, 64, 137]
Generated Node #2: [1, 64, 137] from Operation: 50+87=137
Current State: 72:[1, 64, 137], Operations: ['50+87=137']
Exploring Operation: 1+64=65, Resulting Numbers: [137, 65]
Generated Node #3: [137, 65] from Operation: 1+64=65
Current State: 72:[137, 65], Operations: ['50+87=137', '1+64=65']
Exploring Operation: 137-65=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
8,
11,
25,
3
] | 62 | [
"25-8=17",
"3*17=51",
"11+51=62"
] | Current State: 62:[8, 11, 25, 3], Operations: []
Exploring Operation: 25-8=17, Resulting Numbers: [11, 3, 17]
Generated Node #2: [11, 3, 17] from Operation: 25-8=17
Current State: 62:[11, 3, 17], Operations: ['25-8=17']
Exploring Operation: 3*17=51, Resulting Numbers: [11, 51]
Generated Node #3: [11, 51] from Operation: 3*17=51
Current State: 62:[11, 51], Operations: ['25-8=17', '3*17=51']
Exploring Operation: 11+51=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
17,
12,
4,
40
] | 84 | [
"40/4=10",
"17-10=7",
"12*7=84"
] | Current State: 84:[17, 12, 4, 40], Operations: []
Exploring Operation: 40/4=10, Resulting Numbers: [17, 12, 10]
Generated Node #2: [17, 12, 10] from Operation: 40/4=10
Current State: 84:[17, 12, 10], Operations: ['40/4=10']
Exploring Operation: 17-10=7, Resulting Numbers: [12, 7]
Generated Node #3: [12, 7] from Operation: 17-10=7
Current State: 84:[12, 7], Operations: ['40/4=10', '17-10=7']
Exploring Operation: 12*7=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
29,
10,
2,
61
] | 83 | [
"29+10=39",
"2*61=122",
"122-39=83"
] | Current State: 83:[29, 10, 2, 61], Operations: []
Exploring Operation: 29+10=39, Resulting Numbers: [2, 61, 39]
Generated Node #2: [2, 61, 39] from Operation: 29+10=39
Current State: 83:[2, 61, 39], Operations: ['29+10=39']
Exploring Operation: 2*61=122, Resulting Numbers: [39, 122]
Generated Node #3: [39, 122] from Operation: 2*61=122
Current State: 83:[39, 122], Operations: ['29+10=39', '2*61=122']
Exploring Operation: 122-39=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
44,
40,
40,
4
] | 40 | [
"44+40=84",
"40+4=44",
"84-44=40"
] | Current State: 40:[44, 40, 40, 4], Operations: []
Exploring Operation: 44+40=84, Resulting Numbers: [4, 84]
Generated Node #2: [4, 84] from Operation: 44+40=84
Current State: 40:[4, 84], Operations: ['44+40=84']
Exploring Operation: 40+4=44, Resulting Numbers: [84, 44]
Generated Node #3: [84, 44] from Operation: 40+4=44
Current State: 40:[84, 44], Operations: ['44+40=84', '40+4=44']
Exploring Operation: 84-44=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
47,
48,
71,
74
] | 70 | [
"47*74=3478",
"48*71=3408",
"3478-3408=70"
] | Current State: 70:[47, 48, 71, 74], Operations: []
Exploring Operation: 47*74=3478, Resulting Numbers: [48, 71, 3478]
Generated Node #2: [48, 71, 3478] from Operation: 47*74=3478
Current State: 70:[48, 71, 3478], Operations: ['47*74=3478']
Exploring Operation: 48*71=3408, Resulting Numbers: [3478, 3408]
Generated Node #3: [3478, 3408] from Operation: 48*71=3408
Current State: 70:[3478, 3408], Operations: ['47*74=3478', '48*71=3408']
Exploring Operation: 3478-3408=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
8,
8,
73,
52
] | 22 | [
"8/8=1",
"73-52=21",
"1+21=22"
] | Current State: 22:[8, 8, 73, 52], Operations: []
Exploring Operation: 8/8=1, Resulting Numbers: [73, 52, 1]
Generated Node #2: [73, 52, 1] from Operation: 8/8=1
Current State: 22:[73, 52, 1], Operations: ['8/8=1']
Exploring Operation: 73-52=21, Resulting Numbers: [1, 21]
Generated Node #3: [1, 21] from Operation: 73-52=21
Current State: 22:[1, 21], Operations: ['8/8=1', '73-52=21']
Exploring Operation: 1+21=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
59,
48,
51,
96
] | 67 | [
"59*96=5664",
"5664/48=118",
"118-51=67"
] | Current State: 67:[59, 48, 51, 96], Operations: []
Exploring Operation: 59*96=5664, Resulting Numbers: [48, 51, 5664]
Generated Node #2: [48, 51, 5664] from Operation: 59*96=5664
Current State: 67:[48, 51, 5664], Operations: ['59*96=5664']
Exploring Operation: 5664/48=118, Resulting Numbers: [51, 118]
Generated Node #3: [51, 118] from Operation: 5664/48=118
Current State: 67:[51, 118], Operations: ['59*96=5664', '5664/48=118']
Exploring Operation: 118-51=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
70,
56,
21,
11
] | 17 | [
"70+56=126",
"126/21=6",
"11+6=17"
] | Current State: 17:[70, 56, 21, 11], Operations: []
Exploring Operation: 70+56=126, Resulting Numbers: [21, 11, 126]
Generated Node #2: [21, 11, 126] from Operation: 70+56=126
Current State: 17:[21, 11, 126], Operations: ['70+56=126']
Exploring Operation: 126/21=6, Resulting Numbers: [11, 6]
Generated Node #3: [11, 6] from Operation: 126/21=6
Current State: 17:[11, 6], Operations: ['70+56=126', '126/21=6']
Exploring Operation: 11+6=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
95,
84,
59,
12
] | 81 | [
"95-59=36",
"36/12=3",
"84-3=81"
] | Current State: 81:[95, 84, 59, 12], Operations: []
Exploring Operation: 95-59=36, Resulting Numbers: [84, 12, 36]
Generated Node #2: [84, 12, 36] from Operation: 95-59=36
Current State: 81:[84, 12, 36], Operations: ['95-59=36']
Exploring Operation: 36/12=3, Resulting Numbers: [84, 3]
Generated Node #3: [84, 3] from Operation: 36/12=3
Current State: 81:[84, 3], Operations: ['95-59=36', '36/12=3']
Exploring Operation: 84-3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
24,
27,
81,
4
] | 74 | [
"27-24=3",
"81-4=77",
"77-3=74"
] | Current State: 74:[24, 27, 81, 4], Operations: []
Exploring Operation: 27-24=3, Resulting Numbers: [81, 4, 3]
Generated Node #2: [81, 4, 3] from Operation: 27-24=3
Current State: 74:[81, 4, 3], Operations: ['27-24=3']
Exploring Operation: 81-4=77, Resulting Numbers: [3, 77]
Generated Node #3: [3, 77] from Operation: 81-4=77
Current State: 74:[3, 77], Operations: ['27-24=3', '81-4=77']
Exploring Operation: 77-3=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
85,
27,
75,
57
] | 76 | [
"85-27=58",
"75-57=18",
"58+18=76"
] | Current State: 76:[85, 27, 75, 57], Operations: []
Exploring Operation: 85-27=58, Resulting Numbers: [75, 57, 58]
Generated Node #2: [75, 57, 58] from Operation: 85-27=58
Current State: 76:[75, 57, 58], Operations: ['85-27=58']
Exploring Operation: 75-57=18, Resulting Numbers: [58, 18]
Generated Node #3: [58, 18] from Operation: 75-57=18
Current State: 76:[58, 18], Operations: ['85-27=58', '75-57=18']
Exploring Operation: 58+18=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
31,
49,
94,
1
] | 46 | [
"94-1=93",
"93/31=3",
"49-3=46"
] | Current State: 46:[31, 49, 94, 1], Operations: []
Exploring Operation: 94-1=93, Resulting Numbers: [31, 49, 93]
Generated Node #2: [31, 49, 93] from Operation: 94-1=93
Current State: 46:[31, 49, 93], Operations: ['94-1=93']
Exploring Operation: 93/31=3, Resulting Numbers: [49, 3]
Generated Node #3: [49, 3] from Operation: 93/31=3
Current State: 46:[49, 3], Operations: ['94-1=93', '93/31=3']
Exploring Operation: 49-3=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
5,
15,
29,
6
] | 87 | [
"15/5=3",
"6-3=3",
"29*3=87"
] | Current State: 87:[5, 15, 29, 6], Operations: []
Exploring Operation: 15/5=3, Resulting Numbers: [29, 6, 3]
Generated Node #2: [29, 6, 3] from Operation: 15/5=3
Current State: 87:[29, 6, 3], Operations: ['15/5=3']
Exploring Operation: 6-3=3, Resulting Numbers: [29, 3]
Generated Node #3: [29, 3] from Operation: 6-3=3
Current State: 87:[29, 3], Operations: ['15/5=3', '6-3=3']
Exploring Operation: 29*3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
16,
27,
32,
4
] | 31 | [
"32-16=16",
"16/4=4",
"27+4=31"
] | Current State: 31:[16, 27, 32, 4], Operations: []
Exploring Operation: 32-16=16, Resulting Numbers: [27, 4, 16]
Generated Node #2: [27, 4, 16] from Operation: 32-16=16
Current State: 31:[27, 4, 16], Operations: ['32-16=16']
Exploring Operation: 16/4=4, Resulting Numbers: [27, 4]
Generated Node #3: [27, 4] from Operation: 16/4=4
Current State: 31:[27, 4], Operations: ['32-16=16', '16/4=4']
Exploring Operation: 27+4=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
29,
27,
32,
50
] | 80 | [
"29-27=2",
"32+50=82",
"82-2=80"
] | Current State: 80:[29, 27, 32, 50], Operations: []
Exploring Operation: 29-27=2, Resulting Numbers: [32, 50, 2]
Generated Node #2: [32, 50, 2] from Operation: 29-27=2
Current State: 80:[32, 50, 2], Operations: ['29-27=2']
Exploring Operation: 32+50=82, Resulting Numbers: [2, 82]
Generated Node #3: [2, 82] from Operation: 32+50=82
Current State: 80:[2, 82], Operations: ['29-27=2', '32+50=82']
Exploring Operation: 82-2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
5,
16,
57,
40
] | 69 | [
"57-40=17",
"5*17=85",
"85-16=69"
] | Current State: 69:[5, 16, 57, 40], Operations: []
Exploring Operation: 57-40=17, Resulting Numbers: [5, 16, 17]
Generated Node #2: [5, 16, 17] from Operation: 57-40=17
Current State: 69:[5, 16, 17], Operations: ['57-40=17']
Exploring Operation: 5*17=85, Resulting Numbers: [16, 85]
Generated Node #3: [16, 85] from Operation: 5*17=85
Current State: 69:[16, 85], Operations: ['57-40=17', '5*17=85']
Exploring Operation: 85-16=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
20,
89,
51,
11
] | 91 | [
"51-11=40",
"40/20=2",
"89+2=91"
] | Current State: 91:[20, 89, 51, 11], Operations: []
Exploring Operation: 51-11=40, Resulting Numbers: [20, 89, 40]
Generated Node #2: [20, 89, 40] from Operation: 51-11=40
Current State: 91:[20, 89, 40], Operations: ['51-11=40']
Exploring Operation: 40/20=2, Resulting Numbers: [89, 2]
Generated Node #3: [89, 2] from Operation: 40/20=2
Current State: 91:[89, 2], Operations: ['51-11=40', '40/20=2']
Exploring Operation: 89+2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
73,
40,
80,
59
] | 66 | [
"73+59=132",
"80/40=2",
"132/2=66"
] | Current State: 66:[73, 40, 80, 59], Operations: []
Exploring Operation: 73+59=132, Resulting Numbers: [40, 80, 132]
Generated Node #2: [40, 80, 132] from Operation: 73+59=132
Current State: 66:[40, 80, 132], Operations: ['73+59=132']
Exploring Operation: 80/40=2, Resulting Numbers: [132, 2]
Generated Node #3: [132, 2] from Operation: 80/40=2
Current State: 66:[132, 2], Operations: ['73+59=132', '80/40=2']
Exploring Operation: 132/2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
24,
34,
36,
53
] | 58 | [
"53-24=29",
"36-34=2",
"29*2=58"
] | Current State: 58:[24, 34, 36, 53], Operations: []
Exploring Operation: 53-24=29, Resulting Numbers: [34, 36, 29]
Generated Node #2: [34, 36, 29] from Operation: 53-24=29
Current State: 58:[34, 36, 29], Operations: ['53-24=29']
Exploring Operation: 36-34=2, Resulting Numbers: [29, 2]
Generated Node #3: [29, 2] from Operation: 36-34=2
Current State: 58:[29, 2], Operations: ['53-24=29', '36-34=2']
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
99,
15,
90,
5
] | 90 | [
"99-90=9",
"15-5=10",
"9*10=90"
] | Current State: 90:[99, 15, 90, 5], Operations: []
Exploring Operation: 99-90=9, Resulting Numbers: [15, 5, 9]
Generated Node #2: [15, 5, 9] from Operation: 99-90=9
Current State: 90:[15, 5, 9], Operations: ['99-90=9']
Exploring Operation: 15-5=10, Resulting Numbers: [9, 10]
Generated Node #3: [9, 10] from Operation: 15-5=10
Current State: 90:[9, 10], Operations: ['99-90=9', '15-5=10']
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
45,
22,
49,
92
] | 74 | [
"45+22=67",
"49+92=141",
"141-67=74"
] | Current State: 74:[45, 22, 49, 92], Operations: []
Exploring Operation: 45+22=67, Resulting Numbers: [49, 92, 67]
Generated Node #2: [49, 92, 67] from Operation: 45+22=67
Current State: 74:[49, 92, 67], Operations: ['45+22=67']
Exploring Operation: 49+92=141, Resulting Numbers: [67, 141]
Generated Node #3: [67, 141] from Operation: 49+92=141
Current State: 74:[67, 141], Operations: ['45+22=67', '49+92=141']
Exploring Operation: 141-67=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
50,
35,
5,
63
] | 73 | [
"50-35=15",
"63-5=58",
"15+58=73"
] | Current State: 73:[50, 35, 5, 63], Operations: []
Exploring Operation: 50-35=15, Resulting Numbers: [5, 63, 15]
Generated Node #2: [5, 63, 15] from Operation: 50-35=15
Current State: 73:[5, 63, 15], Operations: ['50-35=15']
Exploring Operation: 63-5=58, Resulting Numbers: [15, 58]
Generated Node #3: [15, 58] from Operation: 63-5=58
Current State: 73:[15, 58], Operations: ['50-35=15', '63-5=58']
Exploring Operation: 15+58=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
70,
52,
2,
69
] | 60 | [
"70-52=18",
"18/2=9",
"69-9=60"
] | Current State: 60:[70, 52, 2, 69], Operations: []
Exploring Operation: 70-52=18, Resulting Numbers: [2, 69, 18]
Generated Node #2: [2, 69, 18] from Operation: 70-52=18
Current State: 60:[2, 69, 18], Operations: ['70-52=18']
Exploring Operation: 18/2=9, Resulting Numbers: [69, 9]
Generated Node #3: [69, 9] from Operation: 18/2=9
Current State: 60:[69, 9], Operations: ['70-52=18', '18/2=9']
Exploring Operation: 69-9=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
80,
2,
57,
17
] | 68 | [
"57+17=74",
"2*74=148",
"148-80=68"
] | Current State: 68:[80, 2, 57, 17], Operations: []
Exploring Operation: 57+17=74, Resulting Numbers: [80, 2, 74]
Generated Node #2: [80, 2, 74] from Operation: 57+17=74
Current State: 68:[80, 2, 74], Operations: ['57+17=74']
Exploring Operation: 2*74=148, Resulting Numbers: [80, 148]
Generated Node #3: [80, 148] from Operation: 2*74=148
Current State: 68:[80, 148], Operations: ['57+17=74', '2*74=148']
Exploring Operation: 148-80=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
55,
87,
6,
31
] | 69 | [
"87-55=32",
"6+31=37",
"32+37=69"
] | Current State: 69:[55, 87, 6, 31], Operations: []
Exploring Operation: 87-55=32, Resulting Numbers: [6, 31, 32]
Generated Node #2: [6, 31, 32] from Operation: 87-55=32
Current State: 69:[6, 31, 32], Operations: ['87-55=32']
Exploring Operation: 6+31=37, Resulting Numbers: [32, 37]
Generated Node #3: [32, 37] from Operation: 6+31=37
Current State: 69:[32, 37], Operations: ['87-55=32', '6+31=37']
Exploring Operation: 32+37=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
6,
90,
42,
37
] | 45 | [
"90-42=48",
"48/6=8",
"37+8=45"
] | Current State: 45:[6, 90, 42, 37], Operations: []
Exploring Operation: 90-42=48, Resulting Numbers: [6, 37, 48]
Generated Node #2: [6, 37, 48] from Operation: 90-42=48
Current State: 45:[6, 37, 48], Operations: ['90-42=48']
Exploring Operation: 48/6=8, Resulting Numbers: [37, 8]
Generated Node #3: [37, 8] from Operation: 48/6=8
Current State: 45:[37, 8], Operations: ['90-42=48', '48/6=8']
Exploring Operation: 37+8=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
2,
52,
90,
22
] | 14 | [
"2+52=54",
"90-22=68",
"68-54=14"
] | Current State: 14:[2, 52, 90, 22], Operations: []
Exploring Operation: 2+52=54, Resulting Numbers: [90, 22, 54]
Generated Node #2: [90, 22, 54] from Operation: 2+52=54
Current State: 14:[90, 22, 54], Operations: ['2+52=54']
Exploring Operation: 90-22=68, Resulting Numbers: [54, 68]
Generated Node #3: [54, 68] from Operation: 90-22=68
Current State: 14:[54, 68], Operations: ['2+52=54', '90-22=68']
Exploring Operation: 68-54=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
25,
84,
12,
30
] | 82 | [
"25*84=2100",
"2100/30=70",
"12+70=82"
] | Current State: 82:[25, 84, 12, 30], Operations: []
Exploring Operation: 25*84=2100, Resulting Numbers: [12, 30, 2100]
Generated Node #2: [12, 30, 2100] from Operation: 25*84=2100
Current State: 82:[12, 30, 2100], Operations: ['25*84=2100']
Exploring Operation: 2100/30=70, Resulting Numbers: [12, 70]
Generated Node #3: [12, 70] from Operation: 2100/30=70
Current State: 82:[12, 70], Operations: ['25*84=2100', '2100/30=70']
Exploring Operation: 12+70=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
82,
27,
85,
87
] | 38 | [
"85-82=3",
"27+87=114",
"114/3=38"
] | Current State: 38:[82, 27, 85, 87], Operations: []
Exploring Operation: 85-82=3, Resulting Numbers: [27, 87, 3]
Generated Node #2: [27, 87, 3] from Operation: 85-82=3
Current State: 38:[27, 87, 3], Operations: ['85-82=3']
Exploring Operation: 27+87=114, Resulting Numbers: [3, 114]
Generated Node #3: [3, 114] from Operation: 27+87=114
Current State: 38:[3, 114], Operations: ['85-82=3', '27+87=114']
Exploring Operation: 114/3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
24,
24,
53,
34
] | 87 | [
"24-24=0",
"53+34=87",
"0+87=87"
] | Current State: 87:[24, 24, 53, 34], Operations: []
Exploring Operation: 24-24=0, Resulting Numbers: [53, 34, 0]
Generated Node #2: [53, 34, 0] from Operation: 24-24=0
Current State: 87:[53, 34, 0], Operations: ['24-24=0']
Exploring Operation: 53+34=87, Resulting Numbers: [0, 87]
Generated Node #3: [0, 87] from Operation: 53+34=87
Current State: 87:[0, 87], Operations: ['24-24=0', '53+34=87']
Exploring Operation: 0+87=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
28,
49,
14,
23
] | 40 | [
"28+49=77",
"14+23=37",
"77-37=40"
] | Current State: 40:[28, 49, 14, 23], Operations: []
Exploring Operation: 28+49=77, Resulting Numbers: [14, 23, 77]
Generated Node #2: [14, 23, 77] from Operation: 28+49=77
Current State: 40:[14, 23, 77], Operations: ['28+49=77']
Exploring Operation: 14+23=37, Resulting Numbers: [77, 37]
Generated Node #3: [77, 37] from Operation: 14+23=37
Current State: 40:[77, 37], Operations: ['28+49=77', '14+23=37']
Exploring Operation: 77-37=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
17,
7,
22,
78
] | 90 | [
"17-7=10",
"22+78=100",
"100-10=90"
] | Current State: 90:[17, 7, 22, 78], Operations: []
Exploring Operation: 17-7=10, Resulting Numbers: [22, 78, 10]
Generated Node #2: [22, 78, 10] from Operation: 17-7=10
Current State: 90:[22, 78, 10], Operations: ['17-7=10']
Exploring Operation: 22+78=100, Resulting Numbers: [10, 100]
Generated Node #3: [10, 100] from Operation: 22+78=100
Current State: 90:[10, 100], Operations: ['17-7=10', '22+78=100']
Exploring Operation: 100-10=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
53,
44,
45,
88
] | 100 | [
"53+45=98",
"88/44=2",
"98+2=100"
] | Current State: 100:[53, 44, 45, 88], Operations: []
Exploring Operation: 53+45=98, Resulting Numbers: [44, 88, 98]
Generated Node #2: [44, 88, 98] from Operation: 53+45=98
Current State: 100:[44, 88, 98], Operations: ['53+45=98']
Exploring Operation: 88/44=2, Resulting Numbers: [98, 2]
Generated Node #3: [98, 2] from Operation: 88/44=2
Current State: 100:[98, 2], Operations: ['53+45=98', '88/44=2']
Exploring Operation: 98+2=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
95,
88,
59,
93
] | 31 | [
"95+88=183",
"59+93=152",
"183-152=31"
] | Current State: 31:[95, 88, 59, 93], Operations: []
Exploring Operation: 95+88=183, Resulting Numbers: [59, 93, 183]
Generated Node #2: [59, 93, 183] from Operation: 95+88=183
Current State: 31:[59, 93, 183], Operations: ['95+88=183']
Exploring Operation: 59+93=152, Resulting Numbers: [183, 152]
Generated Node #3: [183, 152] from Operation: 59+93=152
Current State: 31:[183, 152], Operations: ['95+88=183', '59+93=152']
Exploring Operation: 183-152=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
12,
61,
99,
47
] | 97 | [
"61-12=49",
"99+47=146",
"146-49=97"
] | Current State: 97:[12, 61, 99, 47], Operations: []
Exploring Operation: 61-12=49, Resulting Numbers: [99, 47, 49]
Generated Node #2: [99, 47, 49] from Operation: 61-12=49
Current State: 97:[99, 47, 49], Operations: ['61-12=49']
Exploring Operation: 99+47=146, Resulting Numbers: [49, 146]
Generated Node #3: [49, 146] from Operation: 99+47=146
Current State: 97:[49, 146], Operations: ['61-12=49', '99+47=146']
Exploring Operation: 146-49=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
5,
31,
13,
96
] | 38 | [
"96-5=91",
"91/13=7",
"31+7=38"
] | Current State: 38:[5, 31, 13, 96], Operations: []
Exploring Operation: 96-5=91, Resulting Numbers: [31, 13, 91]
Generated Node #2: [31, 13, 91] from Operation: 96-5=91
Current State: 38:[31, 13, 91], Operations: ['96-5=91']
Exploring Operation: 91/13=7, Resulting Numbers: [31, 7]
Generated Node #3: [31, 7] from Operation: 91/13=7
Current State: 38:[31, 7], Operations: ['96-5=91', '91/13=7']
Exploring Operation: 31+7=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
60,
19,
24,
34
] | 96 | [
"60*24=1440",
"34-19=15",
"1440/15=96"
] | Current State: 96:[60, 19, 24, 34], Operations: []
Exploring Operation: 60*24=1440, Resulting Numbers: [19, 34, 1440]
Generated Node #2: [19, 34, 1440] from Operation: 60*24=1440
Current State: 96:[19, 34, 1440], Operations: ['60*24=1440']
Exploring Operation: 34-19=15, Resulting Numbers: [1440, 15]
Generated Node #3: [1440, 15] from Operation: 34-19=15
Current State: 96:[1440, 15], Operations: ['60*24=1440', '34-19=15']
Exploring Operation: 1440/15=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
51,
81,
56,
26
] | 11 | [
"56-51=5",
"81-26=55",
"55/5=11"
] | Current State: 11:[51, 81, 56, 26], Operations: []
Exploring Operation: 56-51=5, Resulting Numbers: [81, 26, 5]
Generated Node #2: [81, 26, 5] from Operation: 56-51=5
Current State: 11:[81, 26, 5], Operations: ['56-51=5']
Exploring Operation: 81-26=55, Resulting Numbers: [5, 55]
Generated Node #3: [5, 55] from Operation: 81-26=55
Current State: 11:[5, 55], Operations: ['56-51=5', '81-26=55']
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
9,
31,
35,
76
] | 19 | [
"31-9=22",
"76-35=41",
"41-22=19"
] | Current State: 19:[9, 31, 35, 76], Operations: []
Exploring Operation: 31-9=22, Resulting Numbers: [35, 76, 22]
Generated Node #2: [35, 76, 22] from Operation: 31-9=22
Current State: 19:[35, 76, 22], Operations: ['31-9=22']
Exploring Operation: 76-35=41, Resulting Numbers: [22, 41]
Generated Node #3: [22, 41] from Operation: 76-35=41
Current State: 19:[22, 41], Operations: ['31-9=22', '76-35=41']
Exploring Operation: 41-22=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
4,
1,
97,
14
] | 55 | [
"4-1=3",
"14*3=42",
"97-42=55"
] | Current State: 55:[4, 1, 97, 14], Operations: []
Exploring Operation: 4-1=3, Resulting Numbers: [97, 14, 3]
Generated Node #2: [97, 14, 3] from Operation: 4-1=3
Current State: 55:[97, 14, 3], Operations: ['4-1=3']
Exploring Operation: 14*3=42, Resulting Numbers: [97, 42]
Generated Node #3: [97, 42] from Operation: 14*3=42
Current State: 55:[97, 42], Operations: ['4-1=3', '14*3=42']
Exploring Operation: 97-42=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
74,
90,
64,
4
] | 15 | [
"74-64=10",
"10-4=6",
"90/6=15"
] | Current State: 15:[74, 90, 64, 4], Operations: []
Exploring Operation: 74-64=10, Resulting Numbers: [90, 4, 10]
Generated Node #2: [90, 4, 10] from Operation: 74-64=10
Current State: 15:[90, 4, 10], Operations: ['74-64=10']
Exploring Operation: 10-4=6, Resulting Numbers: [90, 6]
Generated Node #3: [90, 6] from Operation: 10-4=6
Current State: 15:[90, 6], Operations: ['74-64=10', '10-4=6']
Exploring Operation: 90/6=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
27,
2,
2,
90
] | 64 | [
"90-27=63",
"2/2=1",
"63+1=64"
] | Current State: 64:[27, 2, 2, 90], Operations: []
Exploring Operation: 90-27=63, Resulting Numbers: [2, 2, 63]
Generated Node #2: [2, 2, 63] from Operation: 90-27=63
Current State: 64:[2, 2, 63], Operations: ['90-27=63']
Exploring Operation: 2/2=1, Resulting Numbers: [63, 1]
Generated Node #3: [63, 1] from Operation: 2/2=1
Current State: 64:[63, 1], Operations: ['90-27=63', '2/2=1']
Exploring Operation: 63+1=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
90,
79,
40,
10
] | 84 | [
"90-40=50",
"50/10=5",
"79+5=84"
] | Current State: 84:[90, 79, 40, 10], Operations: []
Exploring Operation: 90-40=50, Resulting Numbers: [79, 10, 50]
Generated Node #2: [79, 10, 50] from Operation: 90-40=50
Current State: 84:[79, 10, 50], Operations: ['90-40=50']
Exploring Operation: 50/10=5, Resulting Numbers: [79, 5]
Generated Node #3: [79, 5] from Operation: 50/10=5
Current State: 84:[79, 5], Operations: ['90-40=50', '50/10=5']
Exploring Operation: 79+5=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
76,
56,
8,
59
] | 72 | [
"76*56=4256",
"4256-8=4248",
"4248/59=72"
] | Current State: 72:[76, 56, 8, 59], Operations: []
Exploring Operation: 76*56=4256, Resulting Numbers: [8, 59, 4256]
Generated Node #2: [8, 59, 4256] from Operation: 76*56=4256
Current State: 72:[8, 59, 4256], Operations: ['76*56=4256']
Exploring Operation: 4256-8=4248, Resulting Numbers: [59, 4248]
Generated Node #3: [59, 4248] from Operation: 4256-8=4248
Current State: 72:[59, 4248], Operations: ['76*56=4256', '4256-8=4248']
Exploring Operation: 4248/59=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
99,
72,
85,
57
] | 82 | [
"99+72=171",
"171/57=3",
"85-3=82"
] | Current State: 82:[99, 72, 85, 57], Operations: []
Exploring Operation: 99+72=171, Resulting Numbers: [85, 57, 171]
Generated Node #2: [85, 57, 171] from Operation: 99+72=171
Current State: 82:[85, 57, 171], Operations: ['99+72=171']
Exploring Operation: 171/57=3, Resulting Numbers: [85, 3]
Generated Node #3: [85, 3] from Operation: 171/57=3
Current State: 82:[85, 3], Operations: ['99+72=171', '171/57=3']
Exploring Operation: 85-3=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
39,
7,
11,
69
] | 26 | [
"39-7=32",
"69-11=58",
"58-32=26"
] | Current State: 26:[39, 7, 11, 69], Operations: []
Exploring Operation: 39-7=32, Resulting Numbers: [11, 69, 32]
Generated Node #2: [11, 69, 32] from Operation: 39-7=32
Current State: 26:[11, 69, 32], Operations: ['39-7=32']
Exploring Operation: 69-11=58, Resulting Numbers: [32, 58]
Generated Node #3: [32, 58] from Operation: 69-11=58
Current State: 26:[32, 58], Operations: ['39-7=32', '69-11=58']
Exploring Operation: 58-32=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
37,
23,
36,
5
] | 17 | [
"37-23=14",
"36-5=31",
"31-14=17"
] | Current State: 17:[37, 23, 36, 5], Operations: []
Exploring Operation: 37-23=14, Resulting Numbers: [36, 5, 14]
Generated Node #2: [36, 5, 14] from Operation: 37-23=14
Current State: 17:[36, 5, 14], Operations: ['37-23=14']
Exploring Operation: 36-5=31, Resulting Numbers: [14, 31]
Generated Node #3: [14, 31] from Operation: 36-5=31
Current State: 17:[14, 31], Operations: ['37-23=14', '36-5=31']
Exploring Operation: 31-14=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
50,
2,
68,
42
] | 30 | [
"68-50=18",
"42+18=60",
"60/2=30"
] | Current State: 30:[50, 2, 68, 42], Operations: []
Exploring Operation: 68-50=18, Resulting Numbers: [2, 42, 18]
Generated Node #2: [2, 42, 18] from Operation: 68-50=18
Current State: 30:[2, 42, 18], Operations: ['68-50=18']
Exploring Operation: 42+18=60, Resulting Numbers: [2, 60]
Generated Node #3: [2, 60] from Operation: 42+18=60
Current State: 30:[2, 60], Operations: ['68-50=18', '42+18=60']
Exploring Operation: 60/2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
9,
62,
5,
42
] | 65 | [
"9+5=14",
"42/14=3",
"62+3=65"
] | Current State: 65:[9, 62, 5, 42], Operations: []
Exploring Operation: 9+5=14, Resulting Numbers: [62, 42, 14]
Generated Node #2: [62, 42, 14] from Operation: 9+5=14
Current State: 65:[62, 42, 14], Operations: ['9+5=14']
Exploring Operation: 42/14=3, Resulting Numbers: [62, 3]
Generated Node #3: [62, 3] from Operation: 42/14=3
Current State: 65:[62, 3], Operations: ['9+5=14', '42/14=3']
Exploring Operation: 62+3=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
90,
30,
36,
70
] | 14 | [
"90+30=120",
"36+70=106",
"120-106=14"
] | Current State: 14:[90, 30, 36, 70], Operations: []
Exploring Operation: 90+30=120, Resulting Numbers: [36, 70, 120]
Generated Node #2: [36, 70, 120] from Operation: 90+30=120
Current State: 14:[36, 70, 120], Operations: ['90+30=120']
Exploring Operation: 36+70=106, Resulting Numbers: [120, 106]
Generated Node #3: [120, 106] from Operation: 36+70=106
Current State: 14:[120, 106], Operations: ['90+30=120', '36+70=106']
Exploring Operation: 120-106=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
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