nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
83,
40,
52,
24
] | 33 | [
"83-40=43",
"52+24=76",
"76-43=33"
] | Current State: 33:[83, 40, 52, 24], Operations: []
Exploring Operation: 83-40=43, Resulting Numbers: [52, 24, 43]
Generated Node #2: [52, 24, 43] from Operation: 83-40=43
Current State: 33:[52, 24, 43], Operations: ['83-40=43']
Exploring Operation: 52+24=76, Resulting Numbers: [43, 76]
Generated Node #3: [43, 76] from Operation: 52+24=76
Current State: 33:[43, 76], Operations: ['83-40=43', '52+24=76']
Exploring Operation: 76-43=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
49,
75,
82,
46
] | 97 | [
"49*75=3675",
"82*46=3772",
"3772-3675=97"
] | Current State: 97:[49, 75, 82, 46], Operations: []
Exploring Operation: 49*75=3675, Resulting Numbers: [82, 46, 3675]
Generated Node #2: [82, 46, 3675] from Operation: 49*75=3675
Current State: 97:[82, 46, 3675], Operations: ['49*75=3675']
Exploring Operation: 82*46=3772, Resulting Numbers: [3675, 3772]
Generated Node #3: [3675, 3772] from Operation: 82*46=3772
Current State: 97:[3675, 3772], Operations: ['49*75=3675', '82*46=3772']
Exploring Operation: 3772-3675=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
63,
83,
55,
5
] | 15 | [
"83-63=20",
"55+20=75",
"75/5=15"
] | Current State: 15:[63, 83, 55, 5], Operations: []
Exploring Operation: 83-63=20, Resulting Numbers: [55, 5, 20]
Generated Node #2: [55, 5, 20] from Operation: 83-63=20
Current State: 15:[55, 5, 20], Operations: ['83-63=20']
Exploring Operation: 55+20=75, Resulting Numbers: [5, 75]
Generated Node #3: [5, 75] from Operation: 55+20=75
Current State: 15:[5, 75], Operations: ['83-63=20', '55+20=75']
Exploring Operation: 75/5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
43,
44,
8,
46
] | 94 | [
"46-44=2",
"43*2=86",
"8+86=94"
] | Current State: 94:[43, 44, 8, 46], Operations: []
Exploring Operation: 46-44=2, Resulting Numbers: [43, 8, 2]
Generated Node #2: [43, 8, 2] from Operation: 46-44=2
Current State: 94:[43, 8, 2], Operations: ['46-44=2']
Exploring Operation: 43*2=86, Resulting Numbers: [8, 86]
Generated Node #3: [8, 86] from Operation: 43*2=86
Current State: 94:[8, 86], Operations: ['46-44=2', '43*2=86']
Exploring Operation: 8+86=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
28,
78,
58,
99
] | 51 | [
"28+78=106",
"58+99=157",
"157-106=51"
] | Current State: 51:[28, 78, 58, 99], Operations: []
Exploring Operation: 28+78=106, Resulting Numbers: [58, 99, 106]
Generated Node #2: [58, 99, 106] from Operation: 28+78=106
Current State: 51:[58, 99, 106], Operations: ['28+78=106']
Exploring Operation: 58+99=157, Resulting Numbers: [106, 157]
Generated Node #3: [106, 157] from Operation: 58+99=157
Current State: 51:[106, 157], Operations: ['28+78=106', '58+99=157']
Exploring Operation: 157-106=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
92,
92,
6,
91
] | 96 | [
"92/92=1",
"6+91=97",
"97-1=96"
] | Current State: 96:[92, 92, 6, 91], Operations: []
Exploring Operation: 92/92=1, Resulting Numbers: [6, 91, 1]
Generated Node #2: [6, 91, 1] from Operation: 92/92=1
Current State: 96:[6, 91, 1], Operations: ['92/92=1']
Exploring Operation: 6+91=97, Resulting Numbers: [1, 97]
Generated Node #3: [1, 97] from Operation: 6+91=97
Current State: 96:[1, 97], Operations: ['92/92=1', '6+91=97']
Exploring Operation: 97-1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
62,
18,
56,
60
] | 11 | [
"62-18=44",
"60-56=4",
"44/4=11"
] | Current State: 11:[62, 18, 56, 60], Operations: []
Exploring Operation: 62-18=44, Resulting Numbers: [56, 60, 44]
Generated Node #2: [56, 60, 44] from Operation: 62-18=44
Current State: 11:[56, 60, 44], Operations: ['62-18=44']
Exploring Operation: 60-56=4, Resulting Numbers: [44, 4]
Generated Node #3: [44, 4] from Operation: 60-56=4
Current State: 11:[44, 4], Operations: ['62-18=44', '60-56=4']
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
17,
83,
14,
43
] | 37 | [
"83-17=66",
"43-14=29",
"66-29=37"
] | Current State: 37:[17, 83, 14, 43], Operations: []
Exploring Operation: 83-17=66, Resulting Numbers: [14, 43, 66]
Generated Node #2: [14, 43, 66] from Operation: 83-17=66
Current State: 37:[14, 43, 66], Operations: ['83-17=66']
Exploring Operation: 43-14=29, Resulting Numbers: [66, 29]
Generated Node #3: [66, 29] from Operation: 43-14=29
Current State: 37:[66, 29], Operations: ['83-17=66', '43-14=29']
Exploring Operation: 66-29=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
89,
18,
9,
72
] | 97 | [
"18-9=9",
"72/9=8",
"89+8=97"
] | Current State: 97:[89, 18, 9, 72], Operations: []
Exploring Operation: 18-9=9, Resulting Numbers: [89, 72, 9]
Generated Node #2: [89, 72, 9] from Operation: 18-9=9
Current State: 97:[89, 72, 9], Operations: ['18-9=9']
Exploring Operation: 72/9=8, Resulting Numbers: [89, 8]
Generated Node #3: [89, 8] from Operation: 72/9=8
Current State: 97:[89, 8], Operations: ['18-9=9', '72/9=8']
Exploring Operation: 89+8=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
87,
65,
24,
29
] | 44 | [
"87/29=3",
"65-24=41",
"3+41=44"
] | Current State: 44:[87, 65, 24, 29], Operations: []
Exploring Operation: 87/29=3, Resulting Numbers: [65, 24, 3]
Generated Node #2: [65, 24, 3] from Operation: 87/29=3
Current State: 44:[65, 24, 3], Operations: ['87/29=3']
Exploring Operation: 65-24=41, Resulting Numbers: [3, 41]
Generated Node #3: [3, 41] from Operation: 65-24=41
Current State: 44:[3, 41], Operations: ['87/29=3', '65-24=41']
Exploring Operation: 3+41=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
9,
1,
52,
88
] | 14 | [
"9+1=10",
"52+88=140",
"140/10=14"
] | Current State: 14:[9, 1, 52, 88], Operations: []
Exploring Operation: 9+1=10, Resulting Numbers: [52, 88, 10]
Generated Node #2: [52, 88, 10] from Operation: 9+1=10
Current State: 14:[52, 88, 10], Operations: ['9+1=10']
Exploring Operation: 52+88=140, Resulting Numbers: [10, 140]
Generated Node #3: [10, 140] from Operation: 52+88=140
Current State: 14:[10, 140], Operations: ['9+1=10', '52+88=140']
Exploring Operation: 140/10=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
39,
51,
39,
6
] | 51 | [
"39-39=0",
"6*0=0",
"51+0=51"
] | Current State: 51:[39, 51, 39, 6], Operations: []
Exploring Operation: 39-39=0, Resulting Numbers: [51, 6, 0]
Generated Node #2: [51, 6, 0] from Operation: 39-39=0
Current State: 51:[51, 6, 0], Operations: ['39-39=0']
Exploring Operation: 6*0=0, Resulting Numbers: [51, 0]
Generated Node #3: [51, 0] from Operation: 6*0=0
Current State: 51:[51, 0], Operations: ['39-39=0', '6*0=0']
Exploring Operation: 51+0=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
13,
28,
30,
87
] | 50 | [
"13+87=100",
"30-28=2",
"100/2=50"
] | Current State: 50:[13, 28, 30, 87], Operations: []
Exploring Operation: 13+87=100, Resulting Numbers: [28, 30, 100]
Generated Node #2: [28, 30, 100] from Operation: 13+87=100
Current State: 50:[28, 30, 100], Operations: ['13+87=100']
Exploring Operation: 30-28=2, Resulting Numbers: [100, 2]
Generated Node #3: [100, 2] from Operation: 30-28=2
Current State: 50:[100, 2], Operations: ['13+87=100', '30-28=2']
Exploring Operation: 100/2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
34,
20,
2,
47
] | 63 | [
"34-20=14",
"2+47=49",
"14+49=63"
] | Current State: 63:[34, 20, 2, 47], Operations: []
Exploring Operation: 34-20=14, Resulting Numbers: [2, 47, 14]
Generated Node #2: [2, 47, 14] from Operation: 34-20=14
Current State: 63:[2, 47, 14], Operations: ['34-20=14']
Exploring Operation: 2+47=49, Resulting Numbers: [14, 49]
Generated Node #3: [14, 49] from Operation: 2+47=49
Current State: 63:[14, 49], Operations: ['34-20=14', '2+47=49']
Exploring Operation: 14+49=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
28,
81,
25,
11
] | 17 | [
"81-28=53",
"25+11=36",
"53-36=17"
] | Current State: 17:[28, 81, 25, 11], Operations: []
Exploring Operation: 81-28=53, Resulting Numbers: [25, 11, 53]
Generated Node #2: [25, 11, 53] from Operation: 81-28=53
Current State: 17:[25, 11, 53], Operations: ['81-28=53']
Exploring Operation: 25+11=36, Resulting Numbers: [53, 36]
Generated Node #3: [53, 36] from Operation: 25+11=36
Current State: 17:[53, 36], Operations: ['81-28=53', '25+11=36']
Exploring Operation: 53-36=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
70,
25,
88,
9
] | 83 | [
"70-25=45",
"45/9=5",
"88-5=83"
] | Current State: 83:[70, 25, 88, 9], Operations: []
Exploring Operation: 70-25=45, Resulting Numbers: [88, 9, 45]
Generated Node #2: [88, 9, 45] from Operation: 70-25=45
Current State: 83:[88, 9, 45], Operations: ['70-25=45']
Exploring Operation: 45/9=5, Resulting Numbers: [88, 5]
Generated Node #3: [88, 5] from Operation: 45/9=5
Current State: 83:[88, 5], Operations: ['70-25=45', '45/9=5']
Exploring Operation: 88-5=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
19,
82,
16,
93
] | 46 | [
"82-19=63",
"16+93=109",
"109-63=46"
] | Current State: 46:[19, 82, 16, 93], Operations: []
Exploring Operation: 82-19=63, Resulting Numbers: [16, 93, 63]
Generated Node #2: [16, 93, 63] from Operation: 82-19=63
Current State: 46:[16, 93, 63], Operations: ['82-19=63']
Exploring Operation: 16+93=109, Resulting Numbers: [63, 109]
Generated Node #3: [63, 109] from Operation: 16+93=109
Current State: 46:[63, 109], Operations: ['82-19=63', '16+93=109']
Exploring Operation: 109-63=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
40,
73,
11,
45
] | 15 | [
"73-40=33",
"11*45=495",
"495/33=15"
] | Current State: 15:[40, 73, 11, 45], Operations: []
Exploring Operation: 73-40=33, Resulting Numbers: [11, 45, 33]
Generated Node #2: [11, 45, 33] from Operation: 73-40=33
Current State: 15:[11, 45, 33], Operations: ['73-40=33']
Exploring Operation: 11*45=495, Resulting Numbers: [33, 495]
Generated Node #3: [33, 495] from Operation: 11*45=495
Current State: 15:[33, 495], Operations: ['73-40=33', '11*45=495']
Exploring Operation: 495/33=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
13,
68,
72,
62
] | 10 | [
"72-68=4",
"13*4=52",
"62-52=10"
] | Current State: 10:[13, 68, 72, 62], Operations: []
Exploring Operation: 72-68=4, Resulting Numbers: [13, 62, 4]
Generated Node #2: [13, 62, 4] from Operation: 72-68=4
Current State: 10:[13, 62, 4], Operations: ['72-68=4']
Exploring Operation: 13*4=52, Resulting Numbers: [62, 52]
Generated Node #3: [62, 52] from Operation: 13*4=52
Current State: 10:[62, 52], Operations: ['72-68=4', '13*4=52']
Exploring Operation: 62-52=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
99,
36,
10,
24
] | 93 | [
"36+24=60",
"60/10=6",
"99-6=93"
] | Current State: 93:[99, 36, 10, 24], Operations: []
Exploring Operation: 36+24=60, Resulting Numbers: [99, 10, 60]
Generated Node #2: [99, 10, 60] from Operation: 36+24=60
Current State: 93:[99, 10, 60], Operations: ['36+24=60']
Exploring Operation: 60/10=6, Resulting Numbers: [99, 6]
Generated Node #3: [99, 6] from Operation: 60/10=6
Current State: 93:[99, 6], Operations: ['36+24=60', '60/10=6']
Exploring Operation: 99-6=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
31,
33,
81,
76
] | 93 | [
"31+33=64",
"81+76=157",
"157-64=93"
] | Current State: 93:[31, 33, 81, 76], Operations: []
Exploring Operation: 31+33=64, Resulting Numbers: [81, 76, 64]
Generated Node #2: [81, 76, 64] from Operation: 31+33=64
Current State: 93:[81, 76, 64], Operations: ['31+33=64']
Exploring Operation: 81+76=157, Resulting Numbers: [64, 157]
Generated Node #3: [64, 157] from Operation: 81+76=157
Current State: 93:[64, 157], Operations: ['31+33=64', '81+76=157']
Exploring Operation: 157-64=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
5,
35,
38,
22
] | 47 | [
"38+22=60",
"60/5=12",
"35+12=47"
] | Current State: 47:[5, 35, 38, 22], Operations: []
Exploring Operation: 38+22=60, Resulting Numbers: [5, 35, 60]
Generated Node #2: [5, 35, 60] from Operation: 38+22=60
Current State: 47:[5, 35, 60], Operations: ['38+22=60']
Exploring Operation: 60/5=12, Resulting Numbers: [35, 12]
Generated Node #3: [35, 12] from Operation: 60/5=12
Current State: 47:[35, 12], Operations: ['38+22=60', '60/5=12']
Exploring Operation: 35+12=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
81,
72,
17,
86
] | 94 | [
"81-72=9",
"17+86=103",
"103-9=94"
] | Current State: 94:[81, 72, 17, 86], Operations: []
Exploring Operation: 81-72=9, Resulting Numbers: [17, 86, 9]
Generated Node #2: [17, 86, 9] from Operation: 81-72=9
Current State: 94:[17, 86, 9], Operations: ['81-72=9']
Exploring Operation: 17+86=103, Resulting Numbers: [9, 103]
Generated Node #3: [9, 103] from Operation: 17+86=103
Current State: 94:[9, 103], Operations: ['81-72=9', '17+86=103']
Exploring Operation: 103-9=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
62,
36,
95,
31
] | 81 | [
"36-31=5",
"95/5=19",
"62+19=81"
] | Current State: 81:[62, 36, 95, 31], Operations: []
Exploring Operation: 36-31=5, Resulting Numbers: [62, 95, 5]
Generated Node #2: [62, 95, 5] from Operation: 36-31=5
Current State: 81:[62, 95, 5], Operations: ['36-31=5']
Exploring Operation: 95/5=19, Resulting Numbers: [62, 19]
Generated Node #3: [62, 19] from Operation: 95/5=19
Current State: 81:[62, 19], Operations: ['36-31=5', '95/5=19']
Exploring Operation: 62+19=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
76,
22,
72,
60
] | 37 | [
"76-72=4",
"60/4=15",
"22+15=37"
] | Current State: 37:[76, 22, 72, 60], Operations: []
Exploring Operation: 76-72=4, Resulting Numbers: [22, 60, 4]
Generated Node #2: [22, 60, 4] from Operation: 76-72=4
Current State: 37:[22, 60, 4], Operations: ['76-72=4']
Exploring Operation: 60/4=15, Resulting Numbers: [22, 15]
Generated Node #3: [22, 15] from Operation: 60/4=15
Current State: 37:[22, 15], Operations: ['76-72=4', '60/4=15']
Exploring Operation: 22+15=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
73,
35,
39,
68
] | 79 | [
"73+35=108",
"68-39=29",
"108-29=79"
] | Current State: 79:[73, 35, 39, 68], Operations: []
Exploring Operation: 73+35=108, Resulting Numbers: [39, 68, 108]
Generated Node #2: [39, 68, 108] from Operation: 73+35=108
Current State: 79:[39, 68, 108], Operations: ['73+35=108']
Exploring Operation: 68-39=29, Resulting Numbers: [108, 29]
Generated Node #3: [108, 29] from Operation: 68-39=29
Current State: 79:[108, 29], Operations: ['73+35=108', '68-39=29']
Exploring Operation: 108-29=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
10,
29,
16,
64
] | 67 | [
"29-10=19",
"64-16=48",
"19+48=67"
] | Current State: 67:[10, 29, 16, 64], Operations: []
Exploring Operation: 29-10=19, Resulting Numbers: [16, 64, 19]
Generated Node #2: [16, 64, 19] from Operation: 29-10=19
Current State: 67:[16, 64, 19], Operations: ['29-10=19']
Exploring Operation: 64-16=48, Resulting Numbers: [19, 48]
Generated Node #3: [19, 48] from Operation: 64-16=48
Current State: 67:[19, 48], Operations: ['29-10=19', '64-16=48']
Exploring Operation: 19+48=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
69,
2,
24,
13
] | 88 | [
"69-13=56",
"2*56=112",
"112-24=88"
] | Current State: 88:[69, 2, 24, 13], Operations: []
Exploring Operation: 69-13=56, Resulting Numbers: [2, 24, 56]
Generated Node #2: [2, 24, 56] from Operation: 69-13=56
Current State: 88:[2, 24, 56], Operations: ['69-13=56']
Exploring Operation: 2*56=112, Resulting Numbers: [24, 112]
Generated Node #3: [24, 112] from Operation: 2*56=112
Current State: 88:[24, 112], Operations: ['69-13=56', '2*56=112']
Exploring Operation: 112-24=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
65,
98,
4,
40
] | 43 | [
"98-65=33",
"40/4=10",
"33+10=43"
] | Current State: 43:[65, 98, 4, 40], Operations: []
Exploring Operation: 98-65=33, Resulting Numbers: [4, 40, 33]
Generated Node #2: [4, 40, 33] from Operation: 98-65=33
Current State: 43:[4, 40, 33], Operations: ['98-65=33']
Exploring Operation: 40/4=10, Resulting Numbers: [33, 10]
Generated Node #3: [33, 10] from Operation: 40/4=10
Current State: 43:[33, 10], Operations: ['98-65=33', '40/4=10']
Exploring Operation: 33+10=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
24,
96,
54,
67
] | 59 | [
"96-24=72",
"67-54=13",
"72-13=59"
] | Current State: 59:[24, 96, 54, 67], Operations: []
Exploring Operation: 96-24=72, Resulting Numbers: [54, 67, 72]
Generated Node #2: [54, 67, 72] from Operation: 96-24=72
Current State: 59:[54, 67, 72], Operations: ['96-24=72']
Exploring Operation: 67-54=13, Resulting Numbers: [72, 13]
Generated Node #3: [72, 13] from Operation: 67-54=13
Current State: 59:[72, 13], Operations: ['96-24=72', '67-54=13']
Exploring Operation: 72-13=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
92,
43,
72,
46
] | 79 | [
"92/46=2",
"72/2=36",
"43+36=79"
] | Current State: 79:[92, 43, 72, 46], Operations: []
Exploring Operation: 92/46=2, Resulting Numbers: [43, 72, 2]
Generated Node #2: [43, 72, 2] from Operation: 92/46=2
Current State: 79:[43, 72, 2], Operations: ['92/46=2']
Exploring Operation: 72/2=36, Resulting Numbers: [43, 36]
Generated Node #3: [43, 36] from Operation: 72/2=36
Current State: 79:[43, 36], Operations: ['92/46=2', '72/2=36']
Exploring Operation: 43+36=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
8,
38,
15,
7
] | 22 | [
"38-8=30",
"15-7=8",
"30-8=22"
] | Current State: 22:[8, 38, 15, 7], Operations: []
Exploring Operation: 38-8=30, Resulting Numbers: [15, 7, 30]
Generated Node #2: [15, 7, 30] from Operation: 38-8=30
Current State: 22:[15, 7, 30], Operations: ['38-8=30']
Exploring Operation: 15-7=8, Resulting Numbers: [30, 8]
Generated Node #3: [30, 8] from Operation: 15-7=8
Current State: 22:[30, 8], Operations: ['38-8=30', '15-7=8']
Exploring Operation: 30-8=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
67,
45,
2,
41
] | 60 | [
"67-45=22",
"2*41=82",
"82-22=60"
] | Current State: 60:[67, 45, 2, 41], Operations: []
Exploring Operation: 67-45=22, Resulting Numbers: [2, 41, 22]
Generated Node #2: [2, 41, 22] from Operation: 67-45=22
Current State: 60:[2, 41, 22], Operations: ['67-45=22']
Exploring Operation: 2*41=82, Resulting Numbers: [22, 82]
Generated Node #3: [22, 82] from Operation: 2*41=82
Current State: 60:[22, 82], Operations: ['67-45=22', '2*41=82']
Exploring Operation: 82-22=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
37,
8,
48,
43
] | 58 | [
"37+43=80",
"80/8=10",
"48+10=58"
] | Current State: 58:[37, 8, 48, 43], Operations: []
Exploring Operation: 37+43=80, Resulting Numbers: [8, 48, 80]
Generated Node #2: [8, 48, 80] from Operation: 37+43=80
Current State: 58:[8, 48, 80], Operations: ['37+43=80']
Exploring Operation: 80/8=10, Resulting Numbers: [48, 10]
Generated Node #3: [48, 10] from Operation: 80/8=10
Current State: 58:[48, 10], Operations: ['37+43=80', '80/8=10']
Exploring Operation: 48+10=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
26,
36,
3,
57
] | 50 | [
"36-26=10",
"3+57=60",
"60-10=50"
] | Current State: 50:[26, 36, 3, 57], Operations: []
Exploring Operation: 36-26=10, Resulting Numbers: [3, 57, 10]
Generated Node #2: [3, 57, 10] from Operation: 36-26=10
Current State: 50:[3, 57, 10], Operations: ['36-26=10']
Exploring Operation: 3+57=60, Resulting Numbers: [10, 60]
Generated Node #3: [10, 60] from Operation: 3+57=60
Current State: 50:[10, 60], Operations: ['36-26=10', '3+57=60']
Exploring Operation: 60-10=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
56,
40,
67,
33
] | 29 | [
"56*40=2240",
"67*33=2211",
"2240-2211=29"
] | Current State: 29:[56, 40, 67, 33], Operations: []
Exploring Operation: 56*40=2240, Resulting Numbers: [67, 33, 2240]
Generated Node #2: [67, 33, 2240] from Operation: 56*40=2240
Current State: 29:[67, 33, 2240], Operations: ['56*40=2240']
Exploring Operation: 67*33=2211, Resulting Numbers: [2240, 2211]
Generated Node #3: [2240, 2211] from Operation: 67*33=2211
Current State: 29:[2240, 2211], Operations: ['56*40=2240', '67*33=2211']
Exploring Operation: 2240-2211=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
29,
37,
64,
92
] | 100 | [
"37-29=8",
"64/8=8",
"92+8=100"
] | Current State: 100:[29, 37, 64, 92], Operations: []
Exploring Operation: 37-29=8, Resulting Numbers: [64, 92, 8]
Generated Node #2: [64, 92, 8] from Operation: 37-29=8
Current State: 100:[64, 92, 8], Operations: ['37-29=8']
Exploring Operation: 64/8=8, Resulting Numbers: [92, 8]
Generated Node #3: [92, 8] from Operation: 64/8=8
Current State: 100:[92, 8], Operations: ['37-29=8', '64/8=8']
Exploring Operation: 92+8=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
91,
82,
31,
43
] | 21 | [
"91-82=9",
"43-31=12",
"9+12=21"
] | Current State: 21:[91, 82, 31, 43], Operations: []
Exploring Operation: 91-82=9, Resulting Numbers: [31, 43, 9]
Generated Node #2: [31, 43, 9] from Operation: 91-82=9
Current State: 21:[31, 43, 9], Operations: ['91-82=9']
Exploring Operation: 43-31=12, Resulting Numbers: [9, 12]
Generated Node #3: [9, 12] from Operation: 43-31=12
Current State: 21:[9, 12], Operations: ['91-82=9', '43-31=12']
Exploring Operation: 9+12=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
18,
78,
27,
63
] | 75 | [
"18+63=81",
"81/27=3",
"78-3=75"
] | Current State: 75:[18, 78, 27, 63], Operations: []
Exploring Operation: 18+63=81, Resulting Numbers: [78, 27, 81]
Generated Node #2: [78, 27, 81] from Operation: 18+63=81
Current State: 75:[78, 27, 81], Operations: ['18+63=81']
Exploring Operation: 81/27=3, Resulting Numbers: [78, 3]
Generated Node #3: [78, 3] from Operation: 81/27=3
Current State: 75:[78, 3], Operations: ['18+63=81', '81/27=3']
Exploring Operation: 78-3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
94,
60,
98,
4
] | 44 | [
"98-94=4",
"4*4=16",
"60-16=44"
] | Current State: 44:[94, 60, 98, 4], Operations: []
Exploring Operation: 98-94=4, Resulting Numbers: [60, 4, 4]
Generated Node #2: [60, 4, 4] from Operation: 98-94=4
Current State: 44:[60, 4, 4], Operations: ['98-94=4']
Exploring Operation: 4*4=16, Resulting Numbers: [60, 16]
Generated Node #3: [60, 16] from Operation: 4*4=16
Current State: 44:[60, 16], Operations: ['98-94=4', '4*4=16']
Exploring Operation: 60-16=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
94,
63,
81,
32
] | 80 | [
"94-63=31",
"81-32=49",
"31+49=80"
] | Current State: 80:[94, 63, 81, 32], Operations: []
Exploring Operation: 94-63=31, Resulting Numbers: [81, 32, 31]
Generated Node #2: [81, 32, 31] from Operation: 94-63=31
Current State: 80:[81, 32, 31], Operations: ['94-63=31']
Exploring Operation: 81-32=49, Resulting Numbers: [31, 49]
Generated Node #3: [31, 49] from Operation: 81-32=49
Current State: 80:[31, 49], Operations: ['94-63=31', '81-32=49']
Exploring Operation: 31+49=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
13,
64,
23,
2
] | 31 | [
"13+64=77",
"23*2=46",
"77-46=31"
] | Current State: 31:[13, 64, 23, 2], Operations: []
Exploring Operation: 13+64=77, Resulting Numbers: [23, 2, 77]
Generated Node #2: [23, 2, 77] from Operation: 13+64=77
Current State: 31:[23, 2, 77], Operations: ['13+64=77']
Exploring Operation: 23*2=46, Resulting Numbers: [77, 46]
Generated Node #3: [77, 46] from Operation: 23*2=46
Current State: 31:[77, 46], Operations: ['13+64=77', '23*2=46']
Exploring Operation: 77-46=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
7,
80,
18,
44
] | 25 | [
"7+80=87",
"18+44=62",
"87-62=25"
] | Current State: 25:[7, 80, 18, 44], Operations: []
Exploring Operation: 7+80=87, Resulting Numbers: [18, 44, 87]
Generated Node #2: [18, 44, 87] from Operation: 7+80=87
Current State: 25:[18, 44, 87], Operations: ['7+80=87']
Exploring Operation: 18+44=62, Resulting Numbers: [87, 62]
Generated Node #3: [87, 62] from Operation: 18+44=62
Current State: 25:[87, 62], Operations: ['7+80=87', '18+44=62']
Exploring Operation: 87-62=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
49,
45,
82,
54
] | 91 | [
"54-49=5",
"45/5=9",
"82+9=91"
] | Current State: 91:[49, 45, 82, 54], Operations: []
Exploring Operation: 54-49=5, Resulting Numbers: [45, 82, 5]
Generated Node #2: [45, 82, 5] from Operation: 54-49=5
Current State: 91:[45, 82, 5], Operations: ['54-49=5']
Exploring Operation: 45/5=9, Resulting Numbers: [82, 9]
Generated Node #3: [82, 9] from Operation: 45/5=9
Current State: 91:[82, 9], Operations: ['54-49=5', '45/5=9']
Exploring Operation: 82+9=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
93,
10,
10,
60
] | 33 | [
"93+10=103",
"10+60=70",
"103-70=33"
] | Current State: 33:[93, 10, 10, 60], Operations: []
Exploring Operation: 93+10=103, Resulting Numbers: [60, 103]
Generated Node #2: [60, 103] from Operation: 93+10=103
Current State: 33:[60, 103], Operations: ['93+10=103']
Exploring Operation: 10+60=70, Resulting Numbers: [103, 70]
Generated Node #3: [103, 70] from Operation: 10+60=70
Current State: 33:[103, 70], Operations: ['93+10=103', '10+60=70']
Exploring Operation: 103-70=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
76,
15,
23,
7
] | 78 | [
"23+7=30",
"30/15=2",
"76+2=78"
] | Current State: 78:[76, 15, 23, 7], Operations: []
Exploring Operation: 23+7=30, Resulting Numbers: [76, 15, 30]
Generated Node #2: [76, 15, 30] from Operation: 23+7=30
Current State: 78:[76, 15, 30], Operations: ['23+7=30']
Exploring Operation: 30/15=2, Resulting Numbers: [76, 2]
Generated Node #3: [76, 2] from Operation: 30/15=2
Current State: 78:[76, 2], Operations: ['23+7=30', '30/15=2']
Exploring Operation: 76+2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
75,
16,
87,
56
] | 84 | [
"75-16=59",
"87+56=143",
"143-59=84"
] | Current State: 84:[75, 16, 87, 56], Operations: []
Exploring Operation: 75-16=59, Resulting Numbers: [87, 56, 59]
Generated Node #2: [87, 56, 59] from Operation: 75-16=59
Current State: 84:[87, 56, 59], Operations: ['75-16=59']
Exploring Operation: 87+56=143, Resulting Numbers: [59, 143]
Generated Node #3: [59, 143] from Operation: 87+56=143
Current State: 84:[59, 143], Operations: ['75-16=59', '87+56=143']
Exploring Operation: 143-59=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
23,
21,
5,
20
] | 90 | [
"23-21=2",
"20-2=18",
"5*18=90"
] | Current State: 90:[23, 21, 5, 20], Operations: []
Exploring Operation: 23-21=2, Resulting Numbers: [5, 20, 2]
Generated Node #2: [5, 20, 2] from Operation: 23-21=2
Current State: 90:[5, 20, 2], Operations: ['23-21=2']
Exploring Operation: 20-2=18, Resulting Numbers: [5, 18]
Generated Node #3: [5, 18] from Operation: 20-2=18
Current State: 90:[5, 18], Operations: ['23-21=2', '20-2=18']
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
62,
21,
80,
49
] | 42 | [
"62*21=1302",
"80-49=31",
"1302/31=42"
] | Current State: 42:[62, 21, 80, 49], Operations: []
Exploring Operation: 62*21=1302, Resulting Numbers: [80, 49, 1302]
Generated Node #2: [80, 49, 1302] from Operation: 62*21=1302
Current State: 42:[80, 49, 1302], Operations: ['62*21=1302']
Exploring Operation: 80-49=31, Resulting Numbers: [1302, 31]
Generated Node #3: [1302, 31] from Operation: 80-49=31
Current State: 42:[1302, 31], Operations: ['62*21=1302', '80-49=31']
Exploring Operation: 1302/31=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
54,
7,
64,
35
] | 18 | [
"54-7=47",
"64-35=29",
"47-29=18"
] | Current State: 18:[54, 7, 64, 35], Operations: []
Exploring Operation: 54-7=47, Resulting Numbers: [64, 35, 47]
Generated Node #2: [64, 35, 47] from Operation: 54-7=47
Current State: 18:[64, 35, 47], Operations: ['54-7=47']
Exploring Operation: 64-35=29, Resulting Numbers: [47, 29]
Generated Node #3: [47, 29] from Operation: 64-35=29
Current State: 18:[47, 29], Operations: ['54-7=47', '64-35=29']
Exploring Operation: 47-29=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
43,
46,
74,
41
] | 18 | [
"43-41=2",
"46*2=92",
"92-74=18"
] | Current State: 18:[43, 46, 74, 41], Operations: []
Exploring Operation: 43-41=2, Resulting Numbers: [46, 74, 2]
Generated Node #2: [46, 74, 2] from Operation: 43-41=2
Current State: 18:[46, 74, 2], Operations: ['43-41=2']
Exploring Operation: 46*2=92, Resulting Numbers: [74, 92]
Generated Node #3: [74, 92] from Operation: 46*2=92
Current State: 18:[74, 92], Operations: ['43-41=2', '46*2=92']
Exploring Operation: 92-74=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
43,
50,
3,
42
] | 54 | [
"43+50=93",
"42-3=39",
"93-39=54"
] | Current State: 54:[43, 50, 3, 42], Operations: []
Exploring Operation: 43+50=93, Resulting Numbers: [3, 42, 93]
Generated Node #2: [3, 42, 93] from Operation: 43+50=93
Current State: 54:[3, 42, 93], Operations: ['43+50=93']
Exploring Operation: 42-3=39, Resulting Numbers: [93, 39]
Generated Node #3: [93, 39] from Operation: 42-3=39
Current State: 54:[93, 39], Operations: ['43+50=93', '42-3=39']
Exploring Operation: 93-39=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
97,
15,
8,
90
] | 67 | [
"97+90=187",
"15*8=120",
"187-120=67"
] | Current State: 67:[97, 15, 8, 90], Operations: []
Exploring Operation: 97+90=187, Resulting Numbers: [15, 8, 187]
Generated Node #2: [15, 8, 187] from Operation: 97+90=187
Current State: 67:[15, 8, 187], Operations: ['97+90=187']
Exploring Operation: 15*8=120, Resulting Numbers: [187, 120]
Generated Node #3: [187, 120] from Operation: 15*8=120
Current State: 67:[187, 120], Operations: ['97+90=187', '15*8=120']
Exploring Operation: 187-120=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
48,
6,
16,
96
] | 84 | [
"96/48=2",
"16-2=14",
"6*14=84"
] | Current State: 84:[48, 6, 16, 96], Operations: []
Exploring Operation: 96/48=2, Resulting Numbers: [6, 16, 2]
Generated Node #2: [6, 16, 2] from Operation: 96/48=2
Current State: 84:[6, 16, 2], Operations: ['96/48=2']
Exploring Operation: 16-2=14, Resulting Numbers: [6, 14]
Generated Node #3: [6, 14] from Operation: 16-2=14
Current State: 84:[6, 14], Operations: ['96/48=2', '16-2=14']
Exploring Operation: 6*14=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
86,
84,
75,
77
] | 44 | [
"77-75=2",
"84/2=42",
"86-42=44"
] | Current State: 44:[86, 84, 75, 77], Operations: []
Exploring Operation: 77-75=2, Resulting Numbers: [86, 84, 2]
Generated Node #2: [86, 84, 2] from Operation: 77-75=2
Current State: 44:[86, 84, 2], Operations: ['77-75=2']
Exploring Operation: 84/2=42, Resulting Numbers: [86, 42]
Generated Node #3: [86, 42] from Operation: 84/2=42
Current State: 44:[86, 42], Operations: ['77-75=2', '84/2=42']
Exploring Operation: 86-42=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
89,
27,
5,
79
] | 22 | [
"89-27=62",
"5+79=84",
"84-62=22"
] | Current State: 22:[89, 27, 5, 79], Operations: []
Exploring Operation: 89-27=62, Resulting Numbers: [5, 79, 62]
Generated Node #2: [5, 79, 62] from Operation: 89-27=62
Current State: 22:[5, 79, 62], Operations: ['89-27=62']
Exploring Operation: 5+79=84, Resulting Numbers: [62, 84]
Generated Node #3: [62, 84] from Operation: 5+79=84
Current State: 22:[62, 84], Operations: ['89-27=62', '5+79=84']
Exploring Operation: 84-62=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
32,
10,
5,
48
] | 70 | [
"48-32=16",
"5*16=80",
"80-10=70"
] | Current State: 70:[32, 10, 5, 48], Operations: []
Exploring Operation: 48-32=16, Resulting Numbers: [10, 5, 16]
Generated Node #2: [10, 5, 16] from Operation: 48-32=16
Current State: 70:[10, 5, 16], Operations: ['48-32=16']
Exploring Operation: 5*16=80, Resulting Numbers: [10, 80]
Generated Node #3: [10, 80] from Operation: 5*16=80
Current State: 70:[10, 80], Operations: ['48-32=16', '5*16=80']
Exploring Operation: 80-10=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
39,
23,
39,
8
] | 47 | [
"39-23=16",
"39-8=31",
"16+31=47"
] | Current State: 47:[39, 23, 39, 8], Operations: []
Exploring Operation: 39-23=16, Resulting Numbers: [8, 16]
Generated Node #2: [8, 16] from Operation: 39-23=16
Current State: 47:[8, 16], Operations: ['39-23=16']
Exploring Operation: 39-8=31, Resulting Numbers: [16, 31]
Generated Node #3: [16, 31] from Operation: 39-8=31
Current State: 47:[16, 31], Operations: ['39-23=16', '39-8=31']
Exploring Operation: 16+31=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
31,
67,
14,
64
] | 57 | [
"31+67=98",
"98/14=7",
"64-7=57"
] | Current State: 57:[31, 67, 14, 64], Operations: []
Exploring Operation: 31+67=98, Resulting Numbers: [14, 64, 98]
Generated Node #2: [14, 64, 98] from Operation: 31+67=98
Current State: 57:[14, 64, 98], Operations: ['31+67=98']
Exploring Operation: 98/14=7, Resulting Numbers: [64, 7]
Generated Node #3: [64, 7] from Operation: 98/14=7
Current State: 57:[64, 7], Operations: ['31+67=98', '98/14=7']
Exploring Operation: 64-7=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
73,
12,
64,
20
] | 47 | [
"73*12=876",
"64+876=940",
"940/20=47"
] | Current State: 47:[73, 12, 64, 20], Operations: []
Exploring Operation: 73*12=876, Resulting Numbers: [64, 20, 876]
Generated Node #2: [64, 20, 876] from Operation: 73*12=876
Current State: 47:[64, 20, 876], Operations: ['73*12=876']
Exploring Operation: 64+876=940, Resulting Numbers: [20, 940]
Generated Node #3: [20, 940] from Operation: 64+876=940
Current State: 47:[20, 940], Operations: ['73*12=876', '64+876=940']
Exploring Operation: 940/20=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
47,
15,
73,
70
] | 29 | [
"47-15=32",
"73-70=3",
"32-3=29"
] | Current State: 29:[47, 15, 73, 70], Operations: []
Exploring Operation: 47-15=32, Resulting Numbers: [73, 70, 32]
Generated Node #2: [73, 70, 32] from Operation: 47-15=32
Current State: 29:[73, 70, 32], Operations: ['47-15=32']
Exploring Operation: 73-70=3, Resulting Numbers: [32, 3]
Generated Node #3: [32, 3] from Operation: 73-70=3
Current State: 29:[32, 3], Operations: ['47-15=32', '73-70=3']
Exploring Operation: 32-3=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
56,
6,
44,
28
] | 76 | [
"56/28=2",
"44-6=38",
"2*38=76"
] | Current State: 76:[56, 6, 44, 28], Operations: []
Exploring Operation: 56/28=2, Resulting Numbers: [6, 44, 2]
Generated Node #2: [6, 44, 2] from Operation: 56/28=2
Current State: 76:[6, 44, 2], Operations: ['56/28=2']
Exploring Operation: 44-6=38, Resulting Numbers: [2, 38]
Generated Node #3: [2, 38] from Operation: 44-6=38
Current State: 76:[2, 38], Operations: ['56/28=2', '44-6=38']
Exploring Operation: 2*38=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
50,
16,
81,
87
] | 60 | [
"50+16=66",
"87-81=6",
"66-6=60"
] | Current State: 60:[50, 16, 81, 87], Operations: []
Exploring Operation: 50+16=66, Resulting Numbers: [81, 87, 66]
Generated Node #2: [81, 87, 66] from Operation: 50+16=66
Current State: 60:[81, 87, 66], Operations: ['50+16=66']
Exploring Operation: 87-81=6, Resulting Numbers: [66, 6]
Generated Node #3: [66, 6] from Operation: 87-81=6
Current State: 60:[66, 6], Operations: ['50+16=66', '87-81=6']
Exploring Operation: 66-6=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
17,
7,
3,
24
] | 96 | [
"17+7=24",
"3*24=72",
"24+72=96"
] | Current State: 96:[17, 7, 3, 24], Operations: []
Exploring Operation: 17+7=24, Resulting Numbers: [3, 24, 24]
Generated Node #2: [3, 24, 24] from Operation: 17+7=24
Current State: 96:[3, 24, 24], Operations: ['17+7=24']
Exploring Operation: 3*24=72, Resulting Numbers: [72]
72,96 equal: Goal Reached
Exploring Operation: 24+72=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
43,
57,
67,
7
] | 60 | [
"57-43=14",
"67+7=74",
"74-14=60"
] | Current State: 60:[43, 57, 67, 7], Operations: []
Exploring Operation: 57-43=14, Resulting Numbers: [67, 7, 14]
Generated Node #2: [67, 7, 14] from Operation: 57-43=14
Current State: 60:[67, 7, 14], Operations: ['57-43=14']
Exploring Operation: 67+7=74, Resulting Numbers: [14, 74]
Generated Node #3: [14, 74] from Operation: 67+7=74
Current State: 60:[14, 74], Operations: ['57-43=14', '67+7=74']
Exploring Operation: 74-14=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
1,
25,
7,
55
] | 23 | [
"1*25=25",
"55-7=48",
"48-25=23"
] | Current State: 23:[1, 25, 7, 55], Operations: []
Exploring Operation: 1*25=25, Resulting Numbers: [7, 55, 25]
Generated Node #2: [7, 55, 25] from Operation: 1*25=25
Current State: 23:[7, 55, 25], Operations: ['1*25=25']
Exploring Operation: 55-7=48, Resulting Numbers: [25, 48]
Generated Node #3: [25, 48] from Operation: 55-7=48
Current State: 23:[25, 48], Operations: ['1*25=25', '55-7=48']
Exploring Operation: 48-25=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
81,
84,
74,
19
] | 52 | [
"84-81=3",
"74-19=55",
"55-3=52"
] | Current State: 52:[81, 84, 74, 19], Operations: []
Exploring Operation: 84-81=3, Resulting Numbers: [74, 19, 3]
Generated Node #2: [74, 19, 3] from Operation: 84-81=3
Current State: 52:[74, 19, 3], Operations: ['84-81=3']
Exploring Operation: 74-19=55, Resulting Numbers: [3, 55]
Generated Node #3: [3, 55] from Operation: 74-19=55
Current State: 52:[3, 55], Operations: ['84-81=3', '74-19=55']
Exploring Operation: 55-3=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
33,
16,
75,
6
] | 78 | [
"33*16=528",
"75*6=450",
"528-450=78"
] | Current State: 78:[33, 16, 75, 6], Operations: []
Exploring Operation: 33*16=528, Resulting Numbers: [75, 6, 528]
Generated Node #2: [75, 6, 528] from Operation: 33*16=528
Current State: 78:[75, 6, 528], Operations: ['33*16=528']
Exploring Operation: 75*6=450, Resulting Numbers: [528, 450]
Generated Node #3: [528, 450] from Operation: 75*6=450
Current State: 78:[528, 450], Operations: ['33*16=528', '75*6=450']
Exploring Operation: 528-450=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
50,
15,
38,
3
] | 28 | [
"50*3=150",
"150/15=10",
"38-10=28"
] | Current State: 28:[50, 15, 38, 3], Operations: []
Exploring Operation: 50*3=150, Resulting Numbers: [15, 38, 150]
Generated Node #2: [15, 38, 150] from Operation: 50*3=150
Current State: 28:[15, 38, 150], Operations: ['50*3=150']
Exploring Operation: 150/15=10, Resulting Numbers: [38, 10]
Generated Node #3: [38, 10] from Operation: 150/15=10
Current State: 28:[38, 10], Operations: ['50*3=150', '150/15=10']
Exploring Operation: 38-10=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
36,
46,
92,
82
] | 77 | [
"92/46=2",
"82/2=41",
"36+41=77"
] | Current State: 77:[36, 46, 92, 82], Operations: []
Exploring Operation: 92/46=2, Resulting Numbers: [36, 82, 2]
Generated Node #2: [36, 82, 2] from Operation: 92/46=2
Current State: 77:[36, 82, 2], Operations: ['92/46=2']
Exploring Operation: 82/2=41, Resulting Numbers: [36, 41]
Generated Node #3: [36, 41] from Operation: 82/2=41
Current State: 77:[36, 41], Operations: ['92/46=2', '82/2=41']
Exploring Operation: 36+41=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
22,
85,
77,
48
] | 38 | [
"85+48=133",
"22*133=2926",
"2926/77=38"
] | Current State: 38:[22, 85, 77, 48], Operations: []
Exploring Operation: 85+48=133, Resulting Numbers: [22, 77, 133]
Generated Node #2: [22, 77, 133] from Operation: 85+48=133
Current State: 38:[22, 77, 133], Operations: ['85+48=133']
Exploring Operation: 22*133=2926, Resulting Numbers: [77, 2926]
Generated Node #3: [77, 2926] from Operation: 22*133=2926
Current State: 38:[77, 2926], Operations: ['85+48=133', '22*133=2926']
Exploring Operation: 2926/77=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
75,
30,
3,
18
] | 24 | [
"75-30=45",
"3+18=21",
"45-21=24"
] | Current State: 24:[75, 30, 3, 18], Operations: []
Exploring Operation: 75-30=45, Resulting Numbers: [3, 18, 45]
Generated Node #2: [3, 18, 45] from Operation: 75-30=45
Current State: 24:[3, 18, 45], Operations: ['75-30=45']
Exploring Operation: 3+18=21, Resulting Numbers: [45, 21]
Generated Node #3: [45, 21] from Operation: 3+18=21
Current State: 24:[45, 21], Operations: ['75-30=45', '3+18=21']
Exploring Operation: 45-21=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
37,
67,
84,
90
] | 81 | [
"67-37=30",
"90/30=3",
"84-3=81"
] | Current State: 81:[37, 67, 84, 90], Operations: []
Exploring Operation: 67-37=30, Resulting Numbers: [84, 90, 30]
Generated Node #2: [84, 90, 30] from Operation: 67-37=30
Current State: 81:[84, 90, 30], Operations: ['67-37=30']
Exploring Operation: 90/30=3, Resulting Numbers: [84, 3]
Generated Node #3: [84, 3] from Operation: 90/30=3
Current State: 81:[84, 3], Operations: ['67-37=30', '90/30=3']
Exploring Operation: 84-3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
67,
31,
48,
49
] | 29 | [
"31*48=1488",
"1488-67=1421",
"1421/49=29"
] | Current State: 29:[67, 31, 48, 49], Operations: []
Exploring Operation: 31*48=1488, Resulting Numbers: [67, 49, 1488]
Generated Node #2: [67, 49, 1488] from Operation: 31*48=1488
Current State: 29:[67, 49, 1488], Operations: ['31*48=1488']
Exploring Operation: 1488-67=1421, Resulting Numbers: [49, 1421]
Generated Node #3: [49, 1421] from Operation: 1488-67=1421
Current State: 29:[49, 1421], Operations: ['31*48=1488', '1488-67=1421']
Exploring Operation: 1421/49=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
36,
8,
7,
21
] | 57 | [
"36+21=57",
"8-7=1",
"57*1=57"
] | Current State: 57:[36, 8, 7, 21], Operations: []
Exploring Operation: 36+21=57, Resulting Numbers: [8, 7, 57]
Generated Node #2: [8, 7, 57] from Operation: 36+21=57
Current State: 57:[8, 7, 57], Operations: ['36+21=57']
Exploring Operation: 8-7=1, Resulting Numbers: [57, 1]
Generated Node #3: [57, 1] from Operation: 8-7=1
Current State: 57:[57, 1], Operations: ['36+21=57', '8-7=1']
Exploring Operation: 57*1=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
83,
39,
19,
64
] | 39 | [
"83+39=122",
"19+64=83",
"122-83=39"
] | Current State: 39:[83, 39, 19, 64], Operations: []
Exploring Operation: 83+39=122, Resulting Numbers: [19, 64, 122]
Generated Node #2: [19, 64, 122] from Operation: 83+39=122
Current State: 39:[19, 64, 122], Operations: ['83+39=122']
Exploring Operation: 19+64=83, Resulting Numbers: [122, 83]
Generated Node #3: [122, 83] from Operation: 19+64=83
Current State: 39:[122, 83], Operations: ['83+39=122', '19+64=83']
Exploring Operation: 122-83=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
18,
17,
4,
54
] | 51 | [
"18-17=1",
"54-4=50",
"1+50=51"
] | Current State: 51:[18, 17, 4, 54], Operations: []
Exploring Operation: 18-17=1, Resulting Numbers: [4, 54, 1]
Generated Node #2: [4, 54, 1] from Operation: 18-17=1
Current State: 51:[4, 54, 1], Operations: ['18-17=1']
Exploring Operation: 54-4=50, Resulting Numbers: [1, 50]
Generated Node #3: [1, 50] from Operation: 54-4=50
Current State: 51:[1, 50], Operations: ['18-17=1', '54-4=50']
Exploring Operation: 1+50=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
26,
15,
94,
8
] | 97 | [
"26-15=11",
"94-8=86",
"11+86=97"
] | Current State: 97:[26, 15, 94, 8], Operations: []
Exploring Operation: 26-15=11, Resulting Numbers: [94, 8, 11]
Generated Node #2: [94, 8, 11] from Operation: 26-15=11
Current State: 97:[94, 8, 11], Operations: ['26-15=11']
Exploring Operation: 94-8=86, Resulting Numbers: [11, 86]
Generated Node #3: [11, 86] from Operation: 94-8=86
Current State: 97:[11, 86], Operations: ['26-15=11', '94-8=86']
Exploring Operation: 11+86=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
90,
1,
75,
93
] | 78 | [
"90*1=90",
"75+93=168",
"168-90=78"
] | Current State: 78:[90, 1, 75, 93], Operations: []
Exploring Operation: 90*1=90, Resulting Numbers: [75, 93, 90]
Generated Node #2: [75, 93, 90] from Operation: 90*1=90
Current State: 78:[75, 93, 90], Operations: ['90*1=90']
Exploring Operation: 75+93=168, Resulting Numbers: [90, 168]
Generated Node #3: [90, 168] from Operation: 75+93=168
Current State: 78:[90, 168], Operations: ['90*1=90', '75+93=168']
Exploring Operation: 168-90=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
17,
89,
40,
31
] | 97 | [
"17+89=106",
"40-31=9",
"106-9=97"
] | Current State: 97:[17, 89, 40, 31], Operations: []
Exploring Operation: 17+89=106, Resulting Numbers: [40, 31, 106]
Generated Node #2: [40, 31, 106] from Operation: 17+89=106
Current State: 97:[40, 31, 106], Operations: ['17+89=106']
Exploring Operation: 40-31=9, Resulting Numbers: [106, 9]
Generated Node #3: [106, 9] from Operation: 40-31=9
Current State: 97:[106, 9], Operations: ['17+89=106', '40-31=9']
Exploring Operation: 106-9=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
20,
32,
94,
2
] | 10 | [
"20+32=52",
"2*52=104",
"104-94=10"
] | Current State: 10:[20, 32, 94, 2], Operations: []
Exploring Operation: 20+32=52, Resulting Numbers: [94, 2, 52]
Generated Node #2: [94, 2, 52] from Operation: 20+32=52
Current State: 10:[94, 2, 52], Operations: ['20+32=52']
Exploring Operation: 2*52=104, Resulting Numbers: [94, 104]
Generated Node #3: [94, 104] from Operation: 2*52=104
Current State: 10:[94, 104], Operations: ['20+32=52', '2*52=104']
Exploring Operation: 104-94=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
20,
34,
67,
19
] | 100 | [
"34-20=14",
"67+19=86",
"14+86=100"
] | Current State: 100:[20, 34, 67, 19], Operations: []
Exploring Operation: 34-20=14, Resulting Numbers: [67, 19, 14]
Generated Node #2: [67, 19, 14] from Operation: 34-20=14
Current State: 100:[67, 19, 14], Operations: ['34-20=14']
Exploring Operation: 67+19=86, Resulting Numbers: [14, 86]
Generated Node #3: [14, 86] from Operation: 67+19=86
Current State: 100:[14, 86], Operations: ['34-20=14', '67+19=86']
Exploring Operation: 14+86=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
36,
2,
4,
36
] | 72 | [
"36*2=72",
"4*36=144",
"144-72=72"
] | Current State: 72:[36, 2, 4, 36], Operations: []
Exploring Operation: 36*2=72, Resulting Numbers: [4, 72]
Generated Node #2: [4, 72] from Operation: 36*2=72
Current State: 72:[4, 72], Operations: ['36*2=72']
Exploring Operation: 4*36=144, Resulting Numbers: [72, 144]
Generated Node #3: [72, 144] from Operation: 4*36=144
Current State: 72:[72, 144], Operations: ['36*2=72', '4*36=144']
Exploring Operation: 144-72=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
34,
85,
91,
46
] | 96 | [
"85-34=51",
"91-46=45",
"51+45=96"
] | Current State: 96:[34, 85, 91, 46], Operations: []
Exploring Operation: 85-34=51, Resulting Numbers: [91, 46, 51]
Generated Node #2: [91, 46, 51] from Operation: 85-34=51
Current State: 96:[91, 46, 51], Operations: ['85-34=51']
Exploring Operation: 91-46=45, Resulting Numbers: [51, 45]
Generated Node #3: [51, 45] from Operation: 91-46=45
Current State: 96:[51, 45], Operations: ['85-34=51', '91-46=45']
Exploring Operation: 51+45=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
62,
13,
92,
25
] | 95 | [
"62+13=75",
"75/25=3",
"92+3=95"
] | Current State: 95:[62, 13, 92, 25], Operations: []
Exploring Operation: 62+13=75, Resulting Numbers: [92, 25, 75]
Generated Node #2: [92, 25, 75] from Operation: 62+13=75
Current State: 95:[92, 25, 75], Operations: ['62+13=75']
Exploring Operation: 75/25=3, Resulting Numbers: [92, 3]
Generated Node #3: [92, 3] from Operation: 75/25=3
Current State: 95:[92, 3], Operations: ['62+13=75', '75/25=3']
Exploring Operation: 92+3=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
28,
24,
1,
32
] | 22 | [
"28*24=672",
"672/32=21",
"1+21=22"
] | Current State: 22:[28, 24, 1, 32], Operations: []
Exploring Operation: 28*24=672, Resulting Numbers: [1, 32, 672]
Generated Node #2: [1, 32, 672] from Operation: 28*24=672
Current State: 22:[1, 32, 672], Operations: ['28*24=672']
Exploring Operation: 672/32=21, Resulting Numbers: [1, 21]
Generated Node #3: [1, 21] from Operation: 672/32=21
Current State: 22:[1, 21], Operations: ['28*24=672', '672/32=21']
Exploring Operation: 1+21=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
51,
55,
90,
74
] | 90 | [
"51+55=106",
"90-74=16",
"106-16=90"
] | Current State: 90:[51, 55, 90, 74], Operations: []
Exploring Operation: 51+55=106, Resulting Numbers: [90, 74, 106]
Generated Node #2: [90, 74, 106] from Operation: 51+55=106
Current State: 90:[90, 74, 106], Operations: ['51+55=106']
Exploring Operation: 90-74=16, Resulting Numbers: [106, 16]
Generated Node #3: [106, 16] from Operation: 90-74=16
Current State: 90:[106, 16], Operations: ['51+55=106', '90-74=16']
Exploring Operation: 106-16=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
13,
31,
12,
80
] | 48 | [
"13+31=44",
"12+80=92",
"92-44=48"
] | Current State: 48:[13, 31, 12, 80], Operations: []
Exploring Operation: 13+31=44, Resulting Numbers: [12, 80, 44]
Generated Node #2: [12, 80, 44] from Operation: 13+31=44
Current State: 48:[12, 80, 44], Operations: ['13+31=44']
Exploring Operation: 12+80=92, Resulting Numbers: [44, 92]
Generated Node #3: [44, 92] from Operation: 12+80=92
Current State: 48:[44, 92], Operations: ['13+31=44', '12+80=92']
Exploring Operation: 92-44=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
40,
38,
10,
14
] | 74 | [
"40+38=78",
"14-10=4",
"78-4=74"
] | Current State: 74:[40, 38, 10, 14], Operations: []
Exploring Operation: 40+38=78, Resulting Numbers: [10, 14, 78]
Generated Node #2: [10, 14, 78] from Operation: 40+38=78
Current State: 74:[10, 14, 78], Operations: ['40+38=78']
Exploring Operation: 14-10=4, Resulting Numbers: [78, 4]
Generated Node #3: [78, 4] from Operation: 14-10=4
Current State: 74:[78, 4], Operations: ['40+38=78', '14-10=4']
Exploring Operation: 78-4=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
50,
69,
76,
45
] | 49 | [
"69-50=19",
"76/19=4",
"45+4=49"
] | Current State: 49:[50, 69, 76, 45], Operations: []
Exploring Operation: 69-50=19, Resulting Numbers: [76, 45, 19]
Generated Node #2: [76, 45, 19] from Operation: 69-50=19
Current State: 49:[76, 45, 19], Operations: ['69-50=19']
Exploring Operation: 76/19=4, Resulting Numbers: [45, 4]
Generated Node #3: [45, 4] from Operation: 76/19=4
Current State: 49:[45, 4], Operations: ['69-50=19', '76/19=4']
Exploring Operation: 45+4=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
83,
80,
6,
56
] | 54 | [
"83-80=3",
"6/3=2",
"56-2=54"
] | Current State: 54:[83, 80, 6, 56], Operations: []
Exploring Operation: 83-80=3, Resulting Numbers: [6, 56, 3]
Generated Node #2: [6, 56, 3] from Operation: 83-80=3
Current State: 54:[6, 56, 3], Operations: ['83-80=3']
Exploring Operation: 6/3=2, Resulting Numbers: [56, 2]
Generated Node #3: [56, 2] from Operation: 6/3=2
Current State: 54:[56, 2], Operations: ['83-80=3', '6/3=2']
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
90,
69,
36,
93
] | 81 | [
"93-90=3",
"36/3=12",
"69+12=81"
] | Current State: 81:[90, 69, 36, 93], Operations: []
Exploring Operation: 93-90=3, Resulting Numbers: [69, 36, 3]
Generated Node #2: [69, 36, 3] from Operation: 93-90=3
Current State: 81:[69, 36, 3], Operations: ['93-90=3']
Exploring Operation: 36/3=12, Resulting Numbers: [69, 12]
Generated Node #3: [69, 12] from Operation: 36/3=12
Current State: 81:[69, 12], Operations: ['93-90=3', '36/3=12']
Exploring Operation: 69+12=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
88,
9,
97,
20
] | 75 | [
"97+20=117",
"117/9=13",
"88-13=75"
] | Current State: 75:[88, 9, 97, 20], Operations: []
Exploring Operation: 97+20=117, Resulting Numbers: [88, 9, 117]
Generated Node #2: [88, 9, 117] from Operation: 97+20=117
Current State: 75:[88, 9, 117], Operations: ['97+20=117']
Exploring Operation: 117/9=13, Resulting Numbers: [88, 13]
Generated Node #3: [88, 13] from Operation: 117/9=13
Current State: 75:[88, 13], Operations: ['97+20=117', '117/9=13']
Exploring Operation: 88-13=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
10,
35,
30,
65
] | 15 | [
"10+65=75",
"35-30=5",
"75/5=15"
] | Current State: 15:[10, 35, 30, 65], Operations: []
Exploring Operation: 10+65=75, Resulting Numbers: [35, 30, 75]
Generated Node #2: [35, 30, 75] from Operation: 10+65=75
Current State: 15:[35, 30, 75], Operations: ['10+65=75']
Exploring Operation: 35-30=5, Resulting Numbers: [75, 5]
Generated Node #3: [75, 5] from Operation: 35-30=5
Current State: 15:[75, 5], Operations: ['10+65=75', '35-30=5']
Exploring Operation: 75/5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
9,
66,
38,
46
] | 83 | [
"9+66=75",
"46-38=8",
"75+8=83"
] | Current State: 83:[9, 66, 38, 46], Operations: []
Exploring Operation: 9+66=75, Resulting Numbers: [38, 46, 75]
Generated Node #2: [38, 46, 75] from Operation: 9+66=75
Current State: 83:[38, 46, 75], Operations: ['9+66=75']
Exploring Operation: 46-38=8, Resulting Numbers: [75, 8]
Generated Node #3: [75, 8] from Operation: 46-38=8
Current State: 83:[75, 8], Operations: ['9+66=75', '46-38=8']
Exploring Operation: 75+8=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
61,
88,
2,
67
] | 100 | [
"67-61=6",
"2*6=12",
"88+12=100"
] | Current State: 100:[61, 88, 2, 67], Operations: []
Exploring Operation: 67-61=6, Resulting Numbers: [88, 2, 6]
Generated Node #2: [88, 2, 6] from Operation: 67-61=6
Current State: 100:[88, 2, 6], Operations: ['67-61=6']
Exploring Operation: 2*6=12, Resulting Numbers: [88, 12]
Generated Node #3: [88, 12] from Operation: 2*6=12
Current State: 100:[88, 12], Operations: ['67-61=6', '2*6=12']
Exploring Operation: 88+12=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
3,
43,
31,
93
] | 78 | [
"3+43=46",
"31+93=124",
"124-46=78"
] | Current State: 78:[3, 43, 31, 93], Operations: []
Exploring Operation: 3+43=46, Resulting Numbers: [31, 93, 46]
Generated Node #2: [31, 93, 46] from Operation: 3+43=46
Current State: 78:[31, 93, 46], Operations: ['3+43=46']
Exploring Operation: 31+93=124, Resulting Numbers: [46, 124]
Generated Node #3: [46, 124] from Operation: 31+93=124
Current State: 78:[46, 124], Operations: ['3+43=46', '31+93=124']
Exploring Operation: 124-46=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
72,
59,
70,
69
] | 79 | [
"72-70=2",
"69*2=138",
"138-59=79"
] | Current State: 79:[72, 59, 70, 69], Operations: []
Exploring Operation: 72-70=2, Resulting Numbers: [59, 69, 2]
Generated Node #2: [59, 69, 2] from Operation: 72-70=2
Current State: 79:[59, 69, 2], Operations: ['72-70=2']
Exploring Operation: 69*2=138, Resulting Numbers: [59, 138]
Generated Node #3: [59, 138] from Operation: 69*2=138
Current State: 79:[59, 138], Operations: ['72-70=2', '69*2=138']
Exploring Operation: 138-59=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
70,
64,
44,
46
] | 51 | [
"70*46=3220",
"44+3220=3264",
"3264/64=51"
] | Current State: 51:[70, 64, 44, 46], Operations: []
Exploring Operation: 70*46=3220, Resulting Numbers: [64, 44, 3220]
Generated Node #2: [64, 44, 3220] from Operation: 70*46=3220
Current State: 51:[64, 44, 3220], Operations: ['70*46=3220']
Exploring Operation: 44+3220=3264, Resulting Numbers: [64, 3264]
Generated Node #3: [64, 3264] from Operation: 44+3220=3264
Current State: 51:[64, 3264], Operations: ['70*46=3220', '44+3220=3264']
Exploring Operation: 3264/64=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
87,
78,
63,
77
] | 25 | [
"87+78=165",
"63+77=140",
"165-140=25"
] | Current State: 25:[87, 78, 63, 77], Operations: []
Exploring Operation: 87+78=165, Resulting Numbers: [63, 77, 165]
Generated Node #2: [63, 77, 165] from Operation: 87+78=165
Current State: 25:[63, 77, 165], Operations: ['87+78=165']
Exploring Operation: 63+77=140, Resulting Numbers: [165, 140]
Generated Node #3: [165, 140] from Operation: 63+77=140
Current State: 25:[165, 140], Operations: ['87+78=165', '63+77=140']
Exploring Operation: 165-140=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
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