nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
11,
40,
20,
28
] | 25 | [
"40/20=2",
"28/2=14",
"11+14=25"
] | Current State: 25:[11, 40, 20, 28], Operations: []
Exploring Operation: 40/20=2, Resulting Numbers: [11, 28, 2]
Generated Node #2: [11, 28, 2] from Operation: 40/20=2
Current State: 25:[11, 28, 2], Operations: ['40/20=2']
Exploring Operation: 28/2=14, Resulting Numbers: [11, 14]
Generated Node #3: [11, 14] from Operation: 28/2=14
Current State: 25:[11, 14], Operations: ['40/20=2', '28/2=14']
Exploring Operation: 11+14=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
62,
51,
51,
55
] | 95 | [
"62-51=11",
"51+55=106",
"106-11=95"
] | Current State: 95:[62, 51, 51, 55], Operations: []
Exploring Operation: 62-51=11, Resulting Numbers: [55, 11]
Generated Node #2: [55, 11] from Operation: 62-51=11
Current State: 95:[55, 11], Operations: ['62-51=11']
Exploring Operation: 51+55=106, Resulting Numbers: [11, 106]
Generated Node #3: [11, 106] from Operation: 51+55=106
Current State: 95:[11, 106], Operations: ['62-51=11', '51+55=106']
Exploring Operation: 106-11=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
72,
59,
80,
61
] | 76 | [
"72+80=152",
"61-59=2",
"152/2=76"
] | Current State: 76:[72, 59, 80, 61], Operations: []
Exploring Operation: 72+80=152, Resulting Numbers: [59, 61, 152]
Generated Node #2: [59, 61, 152] from Operation: 72+80=152
Current State: 76:[59, 61, 152], Operations: ['72+80=152']
Exploring Operation: 61-59=2, Resulting Numbers: [152, 2]
Generated Node #3: [152, 2] from Operation: 61-59=2
Current State: 76:[152, 2], Operations: ['72+80=152', '61-59=2']
Exploring Operation: 152/2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
38,
58,
43,
64
] | 41 | [
"58-38=20",
"64-43=21",
"20+21=41"
] | Current State: 41:[38, 58, 43, 64], Operations: []
Exploring Operation: 58-38=20, Resulting Numbers: [43, 64, 20]
Generated Node #2: [43, 64, 20] from Operation: 58-38=20
Current State: 41:[43, 64, 20], Operations: ['58-38=20']
Exploring Operation: 64-43=21, Resulting Numbers: [20, 21]
Generated Node #3: [20, 21] from Operation: 64-43=21
Current State: 41:[20, 21], Operations: ['58-38=20', '64-43=21']
Exploring Operation: 20+21=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
60,
24,
17,
11
] | 78 | [
"60+24=84",
"17-11=6",
"84-6=78"
] | Current State: 78:[60, 24, 17, 11], Operations: []
Exploring Operation: 60+24=84, Resulting Numbers: [17, 11, 84]
Generated Node #2: [17, 11, 84] from Operation: 60+24=84
Current State: 78:[17, 11, 84], Operations: ['60+24=84']
Exploring Operation: 17-11=6, Resulting Numbers: [84, 6]
Generated Node #3: [84, 6] from Operation: 17-11=6
Current State: 78:[84, 6], Operations: ['60+24=84', '17-11=6']
Exploring Operation: 84-6=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
88,
17,
1,
24
] | 81 | [
"88+17=105",
"1*24=24",
"105-24=81"
] | Current State: 81:[88, 17, 1, 24], Operations: []
Exploring Operation: 88+17=105, Resulting Numbers: [1, 24, 105]
Generated Node #2: [1, 24, 105] from Operation: 88+17=105
Current State: 81:[1, 24, 105], Operations: ['88+17=105']
Exploring Operation: 1*24=24, Resulting Numbers: [105, 24]
Generated Node #3: [105, 24] from Operation: 1*24=24
Current State: 81:[105, 24], Operations: ['88+17=105', '1*24=24']
Exploring Operation: 105-24=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
79,
80,
14,
8
] | 22 | [
"80-79=1",
"14+8=22",
"1*22=22"
] | Current State: 22:[79, 80, 14, 8], Operations: []
Exploring Operation: 80-79=1, Resulting Numbers: [14, 8, 1]
Generated Node #2: [14, 8, 1] from Operation: 80-79=1
Current State: 22:[14, 8, 1], Operations: ['80-79=1']
Exploring Operation: 14+8=22, Resulting Numbers: [1, 22]
Generated Node #3: [1, 22] from Operation: 14+8=22
Current State: 22:[1, 22], Operations: ['80-79=1', '14+8=22']
Exploring Operation: 1*22=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
8,
7,
42,
52
] | 66 | [
"8*7=56",
"52-42=10",
"56+10=66"
] | Current State: 66:[8, 7, 42, 52], Operations: []
Exploring Operation: 8*7=56, Resulting Numbers: [42, 52, 56]
Generated Node #2: [42, 52, 56] from Operation: 8*7=56
Current State: 66:[42, 52, 56], Operations: ['8*7=56']
Exploring Operation: 52-42=10, Resulting Numbers: [56, 10]
Generated Node #3: [56, 10] from Operation: 52-42=10
Current State: 66:[56, 10], Operations: ['8*7=56', '52-42=10']
Exploring Operation: 56+10=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
6,
75,
50,
69
] | 100 | [
"6+75=81",
"69-50=19",
"81+19=100"
] | Current State: 100:[6, 75, 50, 69], Operations: []
Exploring Operation: 6+75=81, Resulting Numbers: [50, 69, 81]
Generated Node #2: [50, 69, 81] from Operation: 6+75=81
Current State: 100:[50, 69, 81], Operations: ['6+75=81']
Exploring Operation: 69-50=19, Resulting Numbers: [81, 19]
Generated Node #3: [81, 19] from Operation: 69-50=19
Current State: 100:[81, 19], Operations: ['6+75=81', '69-50=19']
Exploring Operation: 81+19=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
35,
82,
19,
68
] | 96 | [
"82-35=47",
"68-19=49",
"47+49=96"
] | Current State: 96:[35, 82, 19, 68], Operations: []
Exploring Operation: 82-35=47, Resulting Numbers: [19, 68, 47]
Generated Node #2: [19, 68, 47] from Operation: 82-35=47
Current State: 96:[19, 68, 47], Operations: ['82-35=47']
Exploring Operation: 68-19=49, Resulting Numbers: [47, 49]
Generated Node #3: [47, 49] from Operation: 68-19=49
Current State: 96:[47, 49], Operations: ['82-35=47', '68-19=49']
Exploring Operation: 47+49=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
85,
88,
15,
74
] | 79 | [
"88-85=3",
"15/3=5",
"74+5=79"
] | Current State: 79:[85, 88, 15, 74], Operations: []
Exploring Operation: 88-85=3, Resulting Numbers: [15, 74, 3]
Generated Node #2: [15, 74, 3] from Operation: 88-85=3
Current State: 79:[15, 74, 3], Operations: ['88-85=3']
Exploring Operation: 15/3=5, Resulting Numbers: [74, 5]
Generated Node #3: [74, 5] from Operation: 15/3=5
Current State: 79:[74, 5], Operations: ['88-85=3', '15/3=5']
Exploring Operation: 74+5=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
91,
65,
59,
17
] | 18 | [
"91+17=108",
"65-59=6",
"108/6=18"
] | Current State: 18:[91, 65, 59, 17], Operations: []
Exploring Operation: 91+17=108, Resulting Numbers: [65, 59, 108]
Generated Node #2: [65, 59, 108] from Operation: 91+17=108
Current State: 18:[65, 59, 108], Operations: ['91+17=108']
Exploring Operation: 65-59=6, Resulting Numbers: [108, 6]
Generated Node #3: [108, 6] from Operation: 65-59=6
Current State: 18:[108, 6], Operations: ['91+17=108', '65-59=6']
Exploring Operation: 108/6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
33,
34,
25,
50
] | 50 | [
"50-33=17",
"34*25=850",
"850/17=50"
] | Current State: 50:[33, 34, 25, 50], Operations: []
Exploring Operation: 50-33=17, Resulting Numbers: [34, 25, 17]
Generated Node #2: [34, 25, 17] from Operation: 50-33=17
Current State: 50:[34, 25, 17], Operations: ['50-33=17']
Exploring Operation: 34*25=850, Resulting Numbers: [17, 850]
Generated Node #3: [17, 850] from Operation: 34*25=850
Current State: 50:[17, 850], Operations: ['50-33=17', '34*25=850']
Exploring Operation: 850/17=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
43,
86,
3,
8
] | 54 | [
"86-43=43",
"3+8=11",
"43+11=54"
] | Current State: 54:[43, 86, 3, 8], Operations: []
Exploring Operation: 86-43=43, Resulting Numbers: [3, 8, 43]
Generated Node #2: [3, 8, 43] from Operation: 86-43=43
Current State: 54:[3, 8, 43], Operations: ['86-43=43']
Exploring Operation: 3+8=11, Resulting Numbers: [43, 11]
Generated Node #3: [43, 11] from Operation: 3+8=11
Current State: 54:[43, 11], Operations: ['86-43=43', '3+8=11']
Exploring Operation: 43+11=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
45,
20,
89,
50
] | 85 | [
"50-45=5",
"20/5=4",
"89-4=85"
] | Current State: 85:[45, 20, 89, 50], Operations: []
Exploring Operation: 50-45=5, Resulting Numbers: [20, 89, 5]
Generated Node #2: [20, 89, 5] from Operation: 50-45=5
Current State: 85:[20, 89, 5], Operations: ['50-45=5']
Exploring Operation: 20/5=4, Resulting Numbers: [89, 4]
Generated Node #3: [89, 4] from Operation: 20/5=4
Current State: 85:[89, 4], Operations: ['50-45=5', '20/5=4']
Exploring Operation: 89-4=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
76,
61,
5,
7
] | 82 | [
"76-61=15",
"5*15=75",
"7+75=82"
] | Current State: 82:[76, 61, 5, 7], Operations: []
Exploring Operation: 76-61=15, Resulting Numbers: [5, 7, 15]
Generated Node #2: [5, 7, 15] from Operation: 76-61=15
Current State: 82:[5, 7, 15], Operations: ['76-61=15']
Exploring Operation: 5*15=75, Resulting Numbers: [7, 75]
Generated Node #3: [7, 75] from Operation: 5*15=75
Current State: 82:[7, 75], Operations: ['76-61=15', '5*15=75']
Exploring Operation: 7+75=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
52,
54,
82,
4
] | 47 | [
"52+54=106",
"82+106=188",
"188/4=47"
] | Current State: 47:[52, 54, 82, 4], Operations: []
Exploring Operation: 52+54=106, Resulting Numbers: [82, 4, 106]
Generated Node #2: [82, 4, 106] from Operation: 52+54=106
Current State: 47:[82, 4, 106], Operations: ['52+54=106']
Exploring Operation: 82+106=188, Resulting Numbers: [4, 188]
Generated Node #3: [4, 188] from Operation: 82+106=188
Current State: 47:[4, 188], Operations: ['52+54=106', '82+106=188']
Exploring Operation: 188/4=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
13,
69,
63,
71
] | 38 | [
"13+63=76",
"71-69=2",
"76/2=38"
] | Current State: 38:[13, 69, 63, 71], Operations: []
Exploring Operation: 13+63=76, Resulting Numbers: [69, 71, 76]
Generated Node #2: [69, 71, 76] from Operation: 13+63=76
Current State: 38:[69, 71, 76], Operations: ['13+63=76']
Exploring Operation: 71-69=2, Resulting Numbers: [76, 2]
Generated Node #3: [76, 2] from Operation: 71-69=2
Current State: 38:[76, 2], Operations: ['13+63=76', '71-69=2']
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
3,
37,
40,
75
] | 75 | [
"3+37=40",
"40+75=115",
"115-40=75"
] | Current State: 75:[3, 37, 40, 75], Operations: []
Exploring Operation: 3+37=40, Resulting Numbers: [40, 75, 40]
Generated Node #2: [40, 75, 40] from Operation: 3+37=40
Current State: 75:[40, 75, 40], Operations: ['3+37=40']
Exploring Operation: 40+75=115, Resulting Numbers: [115]
115,75 equal: Goal Reached
Exploring Operation: 115-40=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
8,
44,
66,
11
] | 64 | [
"8*11=88",
"88/44=2",
"66-2=64"
] | Current State: 64:[8, 44, 66, 11], Operations: []
Exploring Operation: 8*11=88, Resulting Numbers: [44, 66, 88]
Generated Node #2: [44, 66, 88] from Operation: 8*11=88
Current State: 64:[44, 66, 88], Operations: ['8*11=88']
Exploring Operation: 88/44=2, Resulting Numbers: [66, 2]
Generated Node #3: [66, 2] from Operation: 88/44=2
Current State: 64:[66, 2], Operations: ['8*11=88', '88/44=2']
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
66,
77,
81,
24
] | 38 | [
"66+77=143",
"81+24=105",
"143-105=38"
] | Current State: 38:[66, 77, 81, 24], Operations: []
Exploring Operation: 66+77=143, Resulting Numbers: [81, 24, 143]
Generated Node #2: [81, 24, 143] from Operation: 66+77=143
Current State: 38:[81, 24, 143], Operations: ['66+77=143']
Exploring Operation: 81+24=105, Resulting Numbers: [143, 105]
Generated Node #3: [143, 105] from Operation: 81+24=105
Current State: 38:[143, 105], Operations: ['66+77=143', '81+24=105']
Exploring Operation: 143-105=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
87,
97,
82,
10
] | 81 | [
"97-87=10",
"10/10=1",
"82-1=81"
] | Current State: 81:[87, 97, 82, 10], Operations: []
Exploring Operation: 97-87=10, Resulting Numbers: [82, 10, 10]
Generated Node #2: [82, 10, 10] from Operation: 97-87=10
Current State: 81:[82, 10, 10], Operations: ['97-87=10']
Exploring Operation: 10/10=1, Resulting Numbers: [82, 1]
Generated Node #3: [82, 1] from Operation: 10/10=1
Current State: 81:[82, 1], Operations: ['97-87=10', '10/10=1']
Exploring Operation: 82-1=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
73,
5,
26,
25
] | 70 | [
"73*25=1825",
"1825-5=1820",
"1820/26=70"
] | Current State: 70:[73, 5, 26, 25], Operations: []
Exploring Operation: 73*25=1825, Resulting Numbers: [5, 26, 1825]
Generated Node #2: [5, 26, 1825] from Operation: 73*25=1825
Current State: 70:[5, 26, 1825], Operations: ['73*25=1825']
Exploring Operation: 1825-5=1820, Resulting Numbers: [26, 1820]
Generated Node #3: [26, 1820] from Operation: 1825-5=1820
Current State: 70:[26, 1820], Operations: ['73*25=1825', '1825-5=1820']
Exploring Operation: 1820/26=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
86,
87,
89,
66
] | 51 | [
"89-86=3",
"87+66=153",
"153/3=51"
] | Current State: 51:[86, 87, 89, 66], Operations: []
Exploring Operation: 89-86=3, Resulting Numbers: [87, 66, 3]
Generated Node #2: [87, 66, 3] from Operation: 89-86=3
Current State: 51:[87, 66, 3], Operations: ['89-86=3']
Exploring Operation: 87+66=153, Resulting Numbers: [3, 153]
Generated Node #3: [3, 153] from Operation: 87+66=153
Current State: 51:[3, 153], Operations: ['89-86=3', '87+66=153']
Exploring Operation: 153/3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
8,
18,
35,
12
] | 83 | [
"18-12=6",
"8*6=48",
"35+48=83"
] | Current State: 83:[8, 18, 35, 12], Operations: []
Exploring Operation: 18-12=6, Resulting Numbers: [8, 35, 6]
Generated Node #2: [8, 35, 6] from Operation: 18-12=6
Current State: 83:[8, 35, 6], Operations: ['18-12=6']
Exploring Operation: 8*6=48, Resulting Numbers: [35, 48]
Generated Node #3: [35, 48] from Operation: 8*6=48
Current State: 83:[35, 48], Operations: ['18-12=6', '8*6=48']
Exploring Operation: 35+48=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
80,
61,
53,
4
] | 28 | [
"80/4=20",
"61-53=8",
"20+8=28"
] | Current State: 28:[80, 61, 53, 4], Operations: []
Exploring Operation: 80/4=20, Resulting Numbers: [61, 53, 20]
Generated Node #2: [61, 53, 20] from Operation: 80/4=20
Current State: 28:[61, 53, 20], Operations: ['80/4=20']
Exploring Operation: 61-53=8, Resulting Numbers: [20, 8]
Generated Node #3: [20, 8] from Operation: 61-53=8
Current State: 28:[20, 8], Operations: ['80/4=20', '61-53=8']
Exploring Operation: 20+8=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
85,
75,
90,
27
] | 53 | [
"85-75=10",
"90-27=63",
"63-10=53"
] | Current State: 53:[85, 75, 90, 27], Operations: []
Exploring Operation: 85-75=10, Resulting Numbers: [90, 27, 10]
Generated Node #2: [90, 27, 10] from Operation: 85-75=10
Current State: 53:[90, 27, 10], Operations: ['85-75=10']
Exploring Operation: 90-27=63, Resulting Numbers: [10, 63]
Generated Node #3: [10, 63] from Operation: 90-27=63
Current State: 53:[10, 63], Operations: ['85-75=10', '90-27=63']
Exploring Operation: 63-10=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
57,
44,
51,
19
] | 45 | [
"57-44=13",
"51-19=32",
"13+32=45"
] | Current State: 45:[57, 44, 51, 19], Operations: []
Exploring Operation: 57-44=13, Resulting Numbers: [51, 19, 13]
Generated Node #2: [51, 19, 13] from Operation: 57-44=13
Current State: 45:[51, 19, 13], Operations: ['57-44=13']
Exploring Operation: 51-19=32, Resulting Numbers: [13, 32]
Generated Node #3: [13, 32] from Operation: 51-19=32
Current State: 45:[13, 32], Operations: ['57-44=13', '51-19=32']
Exploring Operation: 13+32=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
69,
53,
5,
96
] | 20 | [
"69+96=165",
"165/5=33",
"53-33=20"
] | Current State: 20:[69, 53, 5, 96], Operations: []
Exploring Operation: 69+96=165, Resulting Numbers: [53, 5, 165]
Generated Node #2: [53, 5, 165] from Operation: 69+96=165
Current State: 20:[53, 5, 165], Operations: ['69+96=165']
Exploring Operation: 165/5=33, Resulting Numbers: [53, 33]
Generated Node #3: [53, 33] from Operation: 165/5=33
Current State: 20:[53, 33], Operations: ['69+96=165', '165/5=33']
Exploring Operation: 53-33=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
51,
31,
49,
65
] | 36 | [
"51-31=20",
"65-49=16",
"20+16=36"
] | Current State: 36:[51, 31, 49, 65], Operations: []
Exploring Operation: 51-31=20, Resulting Numbers: [49, 65, 20]
Generated Node #2: [49, 65, 20] from Operation: 51-31=20
Current State: 36:[49, 65, 20], Operations: ['51-31=20']
Exploring Operation: 65-49=16, Resulting Numbers: [20, 16]
Generated Node #3: [20, 16] from Operation: 65-49=16
Current State: 36:[20, 16], Operations: ['51-31=20', '65-49=16']
Exploring Operation: 20+16=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
99,
8,
7,
10
] | 74 | [
"99-8=91",
"7+10=17",
"91-17=74"
] | Current State: 74:[99, 8, 7, 10], Operations: []
Exploring Operation: 99-8=91, Resulting Numbers: [7, 10, 91]
Generated Node #2: [7, 10, 91] from Operation: 99-8=91
Current State: 74:[7, 10, 91], Operations: ['99-8=91']
Exploring Operation: 7+10=17, Resulting Numbers: [91, 17]
Generated Node #3: [91, 17] from Operation: 7+10=17
Current State: 74:[91, 17], Operations: ['99-8=91', '7+10=17']
Exploring Operation: 91-17=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
74,
79,
48,
22
] | 83 | [
"74+79=153",
"48+22=70",
"153-70=83"
] | Current State: 83:[74, 79, 48, 22], Operations: []
Exploring Operation: 74+79=153, Resulting Numbers: [48, 22, 153]
Generated Node #2: [48, 22, 153] from Operation: 74+79=153
Current State: 83:[48, 22, 153], Operations: ['74+79=153']
Exploring Operation: 48+22=70, Resulting Numbers: [153, 70]
Generated Node #3: [153, 70] from Operation: 48+22=70
Current State: 83:[153, 70], Operations: ['74+79=153', '48+22=70']
Exploring Operation: 153-70=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
29,
98,
16,
69
] | 74 | [
"29+98=127",
"69-16=53",
"127-53=74"
] | Current State: 74:[29, 98, 16, 69], Operations: []
Exploring Operation: 29+98=127, Resulting Numbers: [16, 69, 127]
Generated Node #2: [16, 69, 127] from Operation: 29+98=127
Current State: 74:[16, 69, 127], Operations: ['29+98=127']
Exploring Operation: 69-16=53, Resulting Numbers: [127, 53]
Generated Node #3: [127, 53] from Operation: 69-16=53
Current State: 74:[127, 53], Operations: ['29+98=127', '69-16=53']
Exploring Operation: 127-53=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
44,
46,
9,
68
] | 78 | [
"44+46=90",
"90/9=10",
"68+10=78"
] | Current State: 78:[44, 46, 9, 68], Operations: []
Exploring Operation: 44+46=90, Resulting Numbers: [9, 68, 90]
Generated Node #2: [9, 68, 90] from Operation: 44+46=90
Current State: 78:[9, 68, 90], Operations: ['44+46=90']
Exploring Operation: 90/9=10, Resulting Numbers: [68, 10]
Generated Node #3: [68, 10] from Operation: 90/9=10
Current State: 78:[68, 10], Operations: ['44+46=90', '90/9=10']
Exploring Operation: 68+10=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
76,
5,
98,
89
] | 21 | [
"98-76=22",
"5*22=110",
"110-89=21"
] | Current State: 21:[76, 5, 98, 89], Operations: []
Exploring Operation: 98-76=22, Resulting Numbers: [5, 89, 22]
Generated Node #2: [5, 89, 22] from Operation: 98-76=22
Current State: 21:[5, 89, 22], Operations: ['98-76=22']
Exploring Operation: 5*22=110, Resulting Numbers: [89, 110]
Generated Node #3: [89, 110] from Operation: 5*22=110
Current State: 21:[89, 110], Operations: ['98-76=22', '5*22=110']
Exploring Operation: 110-89=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
25,
30,
28,
14
] | 64 | [
"30-28=2",
"25*2=50",
"14+50=64"
] | Current State: 64:[25, 30, 28, 14], Operations: []
Exploring Operation: 30-28=2, Resulting Numbers: [25, 14, 2]
Generated Node #2: [25, 14, 2] from Operation: 30-28=2
Current State: 64:[25, 14, 2], Operations: ['30-28=2']
Exploring Operation: 25*2=50, Resulting Numbers: [14, 50]
Generated Node #3: [14, 50] from Operation: 25*2=50
Current State: 64:[14, 50], Operations: ['30-28=2', '25*2=50']
Exploring Operation: 14+50=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
99,
3,
82,
2
] | 85 | [
"99-82=17",
"3+2=5",
"17*5=85"
] | Current State: 85:[99, 3, 82, 2], Operations: []
Exploring Operation: 99-82=17, Resulting Numbers: [3, 2, 17]
Generated Node #2: [3, 2, 17] from Operation: 99-82=17
Current State: 85:[3, 2, 17], Operations: ['99-82=17']
Exploring Operation: 3+2=5, Resulting Numbers: [17, 5]
Generated Node #3: [17, 5] from Operation: 3+2=5
Current State: 85:[17, 5], Operations: ['99-82=17', '3+2=5']
Exploring Operation: 17*5=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
27,
28,
11,
2
] | 36 | [
"27-11=16",
"16/2=8",
"28+8=36"
] | Current State: 36:[27, 28, 11, 2], Operations: []
Exploring Operation: 27-11=16, Resulting Numbers: [28, 2, 16]
Generated Node #2: [28, 2, 16] from Operation: 27-11=16
Current State: 36:[28, 2, 16], Operations: ['27-11=16']
Exploring Operation: 16/2=8, Resulting Numbers: [28, 8]
Generated Node #3: [28, 8] from Operation: 16/2=8
Current State: 36:[28, 8], Operations: ['27-11=16', '16/2=8']
Exploring Operation: 28+8=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
8,
5,
19,
2
] | 96 | [
"8/2=4",
"5+19=24",
"4*24=96"
] | Current State: 96:[8, 5, 19, 2], Operations: []
Exploring Operation: 8/2=4, Resulting Numbers: [5, 19, 4]
Generated Node #2: [5, 19, 4] from Operation: 8/2=4
Current State: 96:[5, 19, 4], Operations: ['8/2=4']
Exploring Operation: 5+19=24, Resulting Numbers: [4, 24]
Generated Node #3: [4, 24] from Operation: 5+19=24
Current State: 96:[4, 24], Operations: ['8/2=4', '5+19=24']
Exploring Operation: 4*24=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
77,
59,
83,
3
] | 85 | [
"83-59=24",
"24/3=8",
"77+8=85"
] | Current State: 85:[77, 59, 83, 3], Operations: []
Exploring Operation: 83-59=24, Resulting Numbers: [77, 3, 24]
Generated Node #2: [77, 3, 24] from Operation: 83-59=24
Current State: 85:[77, 3, 24], Operations: ['83-59=24']
Exploring Operation: 24/3=8, Resulting Numbers: [77, 8]
Generated Node #3: [77, 8] from Operation: 24/3=8
Current State: 85:[77, 8], Operations: ['83-59=24', '24/3=8']
Exploring Operation: 77+8=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
9,
13,
63,
3
] | 44 | [
"9+13=22",
"63+3=66",
"66-22=44"
] | Current State: 44:[9, 13, 63, 3], Operations: []
Exploring Operation: 9+13=22, Resulting Numbers: [63, 3, 22]
Generated Node #2: [63, 3, 22] from Operation: 9+13=22
Current State: 44:[63, 3, 22], Operations: ['9+13=22']
Exploring Operation: 63+3=66, Resulting Numbers: [22, 66]
Generated Node #3: [22, 66] from Operation: 63+3=66
Current State: 44:[22, 66], Operations: ['9+13=22', '63+3=66']
Exploring Operation: 66-22=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
1,
8,
73,
85
] | 94 | [
"73-1=72",
"72/8=9",
"85+9=94"
] | Current State: 94:[1, 8, 73, 85], Operations: []
Exploring Operation: 73-1=72, Resulting Numbers: [8, 85, 72]
Generated Node #2: [8, 85, 72] from Operation: 73-1=72
Current State: 94:[8, 85, 72], Operations: ['73-1=72']
Exploring Operation: 72/8=9, Resulting Numbers: [85, 9]
Generated Node #3: [85, 9] from Operation: 72/8=9
Current State: 94:[85, 9], Operations: ['73-1=72', '72/8=9']
Exploring Operation: 85+9=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
98,
92,
56,
97
] | 35 | [
"98-92=6",
"97-56=41",
"41-6=35"
] | Current State: 35:[98, 92, 56, 97], Operations: []
Exploring Operation: 98-92=6, Resulting Numbers: [56, 97, 6]
Generated Node #2: [56, 97, 6] from Operation: 98-92=6
Current State: 35:[56, 97, 6], Operations: ['98-92=6']
Exploring Operation: 97-56=41, Resulting Numbers: [6, 41]
Generated Node #3: [6, 41] from Operation: 97-56=41
Current State: 35:[6, 41], Operations: ['98-92=6', '97-56=41']
Exploring Operation: 41-6=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
34,
20,
22,
70
] | 17 | [
"34-20=14",
"70/14=5",
"22-5=17"
] | Current State: 17:[34, 20, 22, 70], Operations: []
Exploring Operation: 34-20=14, Resulting Numbers: [22, 70, 14]
Generated Node #2: [22, 70, 14] from Operation: 34-20=14
Current State: 17:[22, 70, 14], Operations: ['34-20=14']
Exploring Operation: 70/14=5, Resulting Numbers: [22, 5]
Generated Node #3: [22, 5] from Operation: 70/14=5
Current State: 17:[22, 5], Operations: ['34-20=14', '70/14=5']
Exploring Operation: 22-5=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
51,
52,
70,
17
] | 21 | [
"51/17=3",
"70-52=18",
"3+18=21"
] | Current State: 21:[51, 52, 70, 17], Operations: []
Exploring Operation: 51/17=3, Resulting Numbers: [52, 70, 3]
Generated Node #2: [52, 70, 3] from Operation: 51/17=3
Current State: 21:[52, 70, 3], Operations: ['51/17=3']
Exploring Operation: 70-52=18, Resulting Numbers: [3, 18]
Generated Node #3: [3, 18] from Operation: 70-52=18
Current State: 21:[3, 18], Operations: ['51/17=3', '70-52=18']
Exploring Operation: 3+18=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
42,
25,
19,
32
] | 39 | [
"25-19=6",
"42/6=7",
"32+7=39"
] | Current State: 39:[42, 25, 19, 32], Operations: []
Exploring Operation: 25-19=6, Resulting Numbers: [42, 32, 6]
Generated Node #2: [42, 32, 6] from Operation: 25-19=6
Current State: 39:[42, 32, 6], Operations: ['25-19=6']
Exploring Operation: 42/6=7, Resulting Numbers: [32, 7]
Generated Node #3: [32, 7] from Operation: 42/6=7
Current State: 39:[32, 7], Operations: ['25-19=6', '42/6=7']
Exploring Operation: 32+7=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
18,
77,
10,
43
] | 30 | [
"77+43=120",
"120/10=12",
"18+12=30"
] | Current State: 30:[18, 77, 10, 43], Operations: []
Exploring Operation: 77+43=120, Resulting Numbers: [18, 10, 120]
Generated Node #2: [18, 10, 120] from Operation: 77+43=120
Current State: 30:[18, 10, 120], Operations: ['77+43=120']
Exploring Operation: 120/10=12, Resulting Numbers: [18, 12]
Generated Node #3: [18, 12] from Operation: 120/10=12
Current State: 30:[18, 12], Operations: ['77+43=120', '120/10=12']
Exploring Operation: 18+12=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
86,
43,
45,
72
] | 79 | [
"86+72=158",
"45-43=2",
"158/2=79"
] | Current State: 79:[86, 43, 45, 72], Operations: []
Exploring Operation: 86+72=158, Resulting Numbers: [43, 45, 158]
Generated Node #2: [43, 45, 158] from Operation: 86+72=158
Current State: 79:[43, 45, 158], Operations: ['86+72=158']
Exploring Operation: 45-43=2, Resulting Numbers: [158, 2]
Generated Node #3: [158, 2] from Operation: 45-43=2
Current State: 79:[158, 2], Operations: ['86+72=158', '45-43=2']
Exploring Operation: 158/2=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
67,
75,
59,
48
] | 96 | [
"75+59=134",
"134/67=2",
"48*2=96"
] | Current State: 96:[67, 75, 59, 48], Operations: []
Exploring Operation: 75+59=134, Resulting Numbers: [67, 48, 134]
Generated Node #2: [67, 48, 134] from Operation: 75+59=134
Current State: 96:[67, 48, 134], Operations: ['75+59=134']
Exploring Operation: 134/67=2, Resulting Numbers: [48, 2]
Generated Node #3: [48, 2] from Operation: 134/67=2
Current State: 96:[48, 2], Operations: ['75+59=134', '134/67=2']
Exploring Operation: 48*2=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
27,
16,
81,
4
] | 67 | [
"81/27=3",
"16*4=64",
"3+64=67"
] | Current State: 67:[27, 16, 81, 4], Operations: []
Exploring Operation: 81/27=3, Resulting Numbers: [16, 4, 3]
Generated Node #2: [16, 4, 3] from Operation: 81/27=3
Current State: 67:[16, 4, 3], Operations: ['81/27=3']
Exploring Operation: 16*4=64, Resulting Numbers: [3, 64]
Generated Node #3: [3, 64] from Operation: 16*4=64
Current State: 67:[3, 64], Operations: ['81/27=3', '16*4=64']
Exploring Operation: 3+64=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
93,
28,
48,
2
] | 82 | [
"93-28=65",
"2*65=130",
"130-48=82"
] | Current State: 82:[93, 28, 48, 2], Operations: []
Exploring Operation: 93-28=65, Resulting Numbers: [48, 2, 65]
Generated Node #2: [48, 2, 65] from Operation: 93-28=65
Current State: 82:[48, 2, 65], Operations: ['93-28=65']
Exploring Operation: 2*65=130, Resulting Numbers: [48, 130]
Generated Node #3: [48, 130] from Operation: 2*65=130
Current State: 82:[48, 130], Operations: ['93-28=65', '2*65=130']
Exploring Operation: 130-48=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
58,
1,
63,
38
] | 84 | [
"58+1=59",
"63-38=25",
"59+25=84"
] | Current State: 84:[58, 1, 63, 38], Operations: []
Exploring Operation: 58+1=59, Resulting Numbers: [63, 38, 59]
Generated Node #2: [63, 38, 59] from Operation: 58+1=59
Current State: 84:[63, 38, 59], Operations: ['58+1=59']
Exploring Operation: 63-38=25, Resulting Numbers: [59, 25]
Generated Node #3: [59, 25] from Operation: 63-38=25
Current State: 84:[59, 25], Operations: ['58+1=59', '63-38=25']
Exploring Operation: 59+25=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
22,
24,
97,
55
] | 21 | [
"24-22=2",
"97-55=42",
"42/2=21"
] | Current State: 21:[22, 24, 97, 55], Operations: []
Exploring Operation: 24-22=2, Resulting Numbers: [97, 55, 2]
Generated Node #2: [97, 55, 2] from Operation: 24-22=2
Current State: 21:[97, 55, 2], Operations: ['24-22=2']
Exploring Operation: 97-55=42, Resulting Numbers: [2, 42]
Generated Node #3: [2, 42] from Operation: 97-55=42
Current State: 21:[2, 42], Operations: ['24-22=2', '97-55=42']
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
4,
8,
65,
68
] | 99 | [
"8/4=2",
"68/2=34",
"65+34=99"
] | Current State: 99:[4, 8, 65, 68], Operations: []
Exploring Operation: 8/4=2, Resulting Numbers: [65, 68, 2]
Generated Node #2: [65, 68, 2] from Operation: 8/4=2
Current State: 99:[65, 68, 2], Operations: ['8/4=2']
Exploring Operation: 68/2=34, Resulting Numbers: [65, 34]
Generated Node #3: [65, 34] from Operation: 68/2=34
Current State: 99:[65, 34], Operations: ['8/4=2', '68/2=34']
Exploring Operation: 65+34=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
24,
45,
94,
39
] | 34 | [
"45-24=21",
"94-39=55",
"55-21=34"
] | Current State: 34:[24, 45, 94, 39], Operations: []
Exploring Operation: 45-24=21, Resulting Numbers: [94, 39, 21]
Generated Node #2: [94, 39, 21] from Operation: 45-24=21
Current State: 34:[94, 39, 21], Operations: ['45-24=21']
Exploring Operation: 94-39=55, Resulting Numbers: [21, 55]
Generated Node #3: [21, 55] from Operation: 94-39=55
Current State: 34:[21, 55], Operations: ['45-24=21', '94-39=55']
Exploring Operation: 55-21=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
70,
31,
47,
52
] | 85 | [
"52-47=5",
"31*5=155",
"155-70=85"
] | Current State: 85:[70, 31, 47, 52], Operations: []
Exploring Operation: 52-47=5, Resulting Numbers: [70, 31, 5]
Generated Node #2: [70, 31, 5] from Operation: 52-47=5
Current State: 85:[70, 31, 5], Operations: ['52-47=5']
Exploring Operation: 31*5=155, Resulting Numbers: [70, 155]
Generated Node #3: [70, 155] from Operation: 31*5=155
Current State: 85:[70, 155], Operations: ['52-47=5', '31*5=155']
Exploring Operation: 155-70=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
91,
4,
57,
37
] | 99 | [
"91-57=34",
"4*34=136",
"136-37=99"
] | Current State: 99:[91, 4, 57, 37], Operations: []
Exploring Operation: 91-57=34, Resulting Numbers: [4, 37, 34]
Generated Node #2: [4, 37, 34] from Operation: 91-57=34
Current State: 99:[4, 37, 34], Operations: ['91-57=34']
Exploring Operation: 4*34=136, Resulting Numbers: [37, 136]
Generated Node #3: [37, 136] from Operation: 4*34=136
Current State: 99:[37, 136], Operations: ['91-57=34', '4*34=136']
Exploring Operation: 136-37=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
7,
5,
3,
95
] | 59 | [
"7+5=12",
"3*12=36",
"95-36=59"
] | Current State: 59:[7, 5, 3, 95], Operations: []
Exploring Operation: 7+5=12, Resulting Numbers: [3, 95, 12]
Generated Node #2: [3, 95, 12] from Operation: 7+5=12
Current State: 59:[3, 95, 12], Operations: ['7+5=12']
Exploring Operation: 3*12=36, Resulting Numbers: [95, 36]
Generated Node #3: [95, 36] from Operation: 3*12=36
Current State: 59:[95, 36], Operations: ['7+5=12', '3*12=36']
Exploring Operation: 95-36=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
63,
66,
4,
48
] | 64 | [
"66-63=3",
"4*48=192",
"192/3=64"
] | Current State: 64:[63, 66, 4, 48], Operations: []
Exploring Operation: 66-63=3, Resulting Numbers: [4, 48, 3]
Generated Node #2: [4, 48, 3] from Operation: 66-63=3
Current State: 64:[4, 48, 3], Operations: ['66-63=3']
Exploring Operation: 4*48=192, Resulting Numbers: [3, 192]
Generated Node #3: [3, 192] from Operation: 4*48=192
Current State: 64:[3, 192], Operations: ['66-63=3', '4*48=192']
Exploring Operation: 192/3=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
95,
88,
54,
39
] | 100 | [
"95-88=7",
"54+39=93",
"7+93=100"
] | Current State: 100:[95, 88, 54, 39], Operations: []
Exploring Operation: 95-88=7, Resulting Numbers: [54, 39, 7]
Generated Node #2: [54, 39, 7] from Operation: 95-88=7
Current State: 100:[54, 39, 7], Operations: ['95-88=7']
Exploring Operation: 54+39=93, Resulting Numbers: [7, 93]
Generated Node #3: [7, 93] from Operation: 54+39=93
Current State: 100:[7, 93], Operations: ['95-88=7', '54+39=93']
Exploring Operation: 7+93=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
50,
30,
97,
49
] | 10 | [
"50+97=147",
"30*49=1470",
"1470/147=10"
] | Current State: 10:[50, 30, 97, 49], Operations: []
Exploring Operation: 50+97=147, Resulting Numbers: [30, 49, 147]
Generated Node #2: [30, 49, 147] from Operation: 50+97=147
Current State: 10:[30, 49, 147], Operations: ['50+97=147']
Exploring Operation: 30*49=1470, Resulting Numbers: [147, 1470]
Generated Node #3: [147, 1470] from Operation: 30*49=1470
Current State: 10:[147, 1470], Operations: ['50+97=147', '30*49=1470']
Exploring Operation: 1470/147=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
75,
5,
2,
25
] | 11 | [
"75*2=150",
"150/25=6",
"5+6=11"
] | Current State: 11:[75, 5, 2, 25], Operations: []
Exploring Operation: 75*2=150, Resulting Numbers: [5, 25, 150]
Generated Node #2: [5, 25, 150] from Operation: 75*2=150
Current State: 11:[5, 25, 150], Operations: ['75*2=150']
Exploring Operation: 150/25=6, Resulting Numbers: [5, 6]
Generated Node #3: [5, 6] from Operation: 150/25=6
Current State: 11:[5, 6], Operations: ['75*2=150', '150/25=6']
Exploring Operation: 5+6=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
99,
21,
79,
10
] | 19 | [
"99-79=20",
"20/10=2",
"21-2=19"
] | Current State: 19:[99, 21, 79, 10], Operations: []
Exploring Operation: 99-79=20, Resulting Numbers: [21, 10, 20]
Generated Node #2: [21, 10, 20] from Operation: 99-79=20
Current State: 19:[21, 10, 20], Operations: ['99-79=20']
Exploring Operation: 20/10=2, Resulting Numbers: [21, 2]
Generated Node #3: [21, 2] from Operation: 20/10=2
Current State: 19:[21, 2], Operations: ['99-79=20', '20/10=2']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
61,
25,
70,
66
] | 65 | [
"66-61=5",
"25/5=5",
"70-5=65"
] | Current State: 65:[61, 25, 70, 66], Operations: []
Exploring Operation: 66-61=5, Resulting Numbers: [25, 70, 5]
Generated Node #2: [25, 70, 5] from Operation: 66-61=5
Current State: 65:[25, 70, 5], Operations: ['66-61=5']
Exploring Operation: 25/5=5, Resulting Numbers: [70, 5]
Generated Node #3: [70, 5] from Operation: 25/5=5
Current State: 65:[70, 5], Operations: ['66-61=5', '25/5=5']
Exploring Operation: 70-5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
29,
62,
18,
28
] | 43 | [
"62-29=33",
"28-18=10",
"33+10=43"
] | Current State: 43:[29, 62, 18, 28], Operations: []
Exploring Operation: 62-29=33, Resulting Numbers: [18, 28, 33]
Generated Node #2: [18, 28, 33] from Operation: 62-29=33
Current State: 43:[18, 28, 33], Operations: ['62-29=33']
Exploring Operation: 28-18=10, Resulting Numbers: [33, 10]
Generated Node #3: [33, 10] from Operation: 28-18=10
Current State: 43:[33, 10], Operations: ['62-29=33', '28-18=10']
Exploring Operation: 33+10=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
48,
33,
6,
69
] | 65 | [
"33+69=102",
"102/6=17",
"48+17=65"
] | Current State: 65:[48, 33, 6, 69], Operations: []
Exploring Operation: 33+69=102, Resulting Numbers: [48, 6, 102]
Generated Node #2: [48, 6, 102] from Operation: 33+69=102
Current State: 65:[48, 6, 102], Operations: ['33+69=102']
Exploring Operation: 102/6=17, Resulting Numbers: [48, 17]
Generated Node #3: [48, 17] from Operation: 102/6=17
Current State: 65:[48, 17], Operations: ['33+69=102', '102/6=17']
Exploring Operation: 48+17=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
38,
95,
19,
40
] | 20 | [
"38*40=1520",
"95-19=76",
"1520/76=20"
] | Current State: 20:[38, 95, 19, 40], Operations: []
Exploring Operation: 38*40=1520, Resulting Numbers: [95, 19, 1520]
Generated Node #2: [95, 19, 1520] from Operation: 38*40=1520
Current State: 20:[95, 19, 1520], Operations: ['38*40=1520']
Exploring Operation: 95-19=76, Resulting Numbers: [1520, 76]
Generated Node #3: [1520, 76] from Operation: 95-19=76
Current State: 20:[1520, 76], Operations: ['38*40=1520', '95-19=76']
Exploring Operation: 1520/76=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
81,
21,
22,
6
] | 66 | [
"81*22=1782",
"21+6=27",
"1782/27=66"
] | Current State: 66:[81, 21, 22, 6], Operations: []
Exploring Operation: 81*22=1782, Resulting Numbers: [21, 6, 1782]
Generated Node #2: [21, 6, 1782] from Operation: 81*22=1782
Current State: 66:[21, 6, 1782], Operations: ['81*22=1782']
Exploring Operation: 21+6=27, Resulting Numbers: [1782, 27]
Generated Node #3: [1782, 27] from Operation: 21+6=27
Current State: 66:[1782, 27], Operations: ['81*22=1782', '21+6=27']
Exploring Operation: 1782/27=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
64,
61,
33,
3
] | 98 | [
"64*3=192",
"61+33=94",
"192-94=98"
] | Current State: 98:[64, 61, 33, 3], Operations: []
Exploring Operation: 64*3=192, Resulting Numbers: [61, 33, 192]
Generated Node #2: [61, 33, 192] from Operation: 64*3=192
Current State: 98:[61, 33, 192], Operations: ['64*3=192']
Exploring Operation: 61+33=94, Resulting Numbers: [192, 94]
Generated Node #3: [192, 94] from Operation: 61+33=94
Current State: 98:[192, 94], Operations: ['64*3=192', '61+33=94']
Exploring Operation: 192-94=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
26,
20,
62,
90
] | 10 | [
"26+62=88",
"90-88=2",
"20/2=10"
] | Current State: 10:[26, 20, 62, 90], Operations: []
Exploring Operation: 26+62=88, Resulting Numbers: [20, 90, 88]
Generated Node #2: [20, 90, 88] from Operation: 26+62=88
Current State: 10:[20, 90, 88], Operations: ['26+62=88']
Exploring Operation: 90-88=2, Resulting Numbers: [20, 2]
Generated Node #3: [20, 2] from Operation: 90-88=2
Current State: 10:[20, 2], Operations: ['26+62=88', '90-88=2']
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
30,
52,
97,
81
] | 97 | [
"30+52=82",
"82-81=1",
"97*1=97"
] | Current State: 97:[30, 52, 97, 81], Operations: []
Exploring Operation: 30+52=82, Resulting Numbers: [97, 81, 82]
Generated Node #2: [97, 81, 82] from Operation: 30+52=82
Current State: 97:[97, 81, 82], Operations: ['30+52=82']
Exploring Operation: 82-81=1, Resulting Numbers: [97, 1]
Generated Node #3: [97, 1] from Operation: 82-81=1
Current State: 97:[97, 1], Operations: ['30+52=82', '82-81=1']
Exploring Operation: 97*1=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
3,
20,
52,
63
] | 92 | [
"3+20=23",
"52+63=115",
"115-23=92"
] | Current State: 92:[3, 20, 52, 63], Operations: []
Exploring Operation: 3+20=23, Resulting Numbers: [52, 63, 23]
Generated Node #2: [52, 63, 23] from Operation: 3+20=23
Current State: 92:[52, 63, 23], Operations: ['3+20=23']
Exploring Operation: 52+63=115, Resulting Numbers: [23, 115]
Generated Node #3: [23, 115] from Operation: 52+63=115
Current State: 92:[23, 115], Operations: ['3+20=23', '52+63=115']
Exploring Operation: 115-23=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
79,
9,
70,
75
] | 57 | [
"79+9=88",
"70+75=145",
"145-88=57"
] | Current State: 57:[79, 9, 70, 75], Operations: []
Exploring Operation: 79+9=88, Resulting Numbers: [70, 75, 88]
Generated Node #2: [70, 75, 88] from Operation: 79+9=88
Current State: 57:[70, 75, 88], Operations: ['79+9=88']
Exploring Operation: 70+75=145, Resulting Numbers: [88, 145]
Generated Node #3: [88, 145] from Operation: 70+75=145
Current State: 57:[88, 145], Operations: ['79+9=88', '70+75=145']
Exploring Operation: 145-88=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
33,
11,
4,
27
] | 96 | [
"33/11=3",
"27-3=24",
"4*24=96"
] | Current State: 96:[33, 11, 4, 27], Operations: []
Exploring Operation: 33/11=3, Resulting Numbers: [4, 27, 3]
Generated Node #2: [4, 27, 3] from Operation: 33/11=3
Current State: 96:[4, 27, 3], Operations: ['33/11=3']
Exploring Operation: 27-3=24, Resulting Numbers: [4, 24]
Generated Node #3: [4, 24] from Operation: 27-3=24
Current State: 96:[4, 24], Operations: ['33/11=3', '27-3=24']
Exploring Operation: 4*24=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
13,
54,
72,
3
] | 57 | [
"13*3=39",
"72-54=18",
"39+18=57"
] | Current State: 57:[13, 54, 72, 3], Operations: []
Exploring Operation: 13*3=39, Resulting Numbers: [54, 72, 39]
Generated Node #2: [54, 72, 39] from Operation: 13*3=39
Current State: 57:[54, 72, 39], Operations: ['13*3=39']
Exploring Operation: 72-54=18, Resulting Numbers: [39, 18]
Generated Node #3: [39, 18] from Operation: 72-54=18
Current State: 57:[39, 18], Operations: ['13*3=39', '72-54=18']
Exploring Operation: 39+18=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
18,
3,
4,
10
] | 88 | [
"18+10=28",
"3*28=84",
"4+84=88"
] | Current State: 88:[18, 3, 4, 10], Operations: []
Exploring Operation: 18+10=28, Resulting Numbers: [3, 4, 28]
Generated Node #2: [3, 4, 28] from Operation: 18+10=28
Current State: 88:[3, 4, 28], Operations: ['18+10=28']
Exploring Operation: 3*28=84, Resulting Numbers: [4, 84]
Generated Node #3: [4, 84] from Operation: 3*28=84
Current State: 88:[4, 84], Operations: ['18+10=28', '3*28=84']
Exploring Operation: 4+84=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
50,
47,
8,
44
] | 26 | [
"47-44=3",
"8*3=24",
"50-24=26"
] | Current State: 26:[50, 47, 8, 44], Operations: []
Exploring Operation: 47-44=3, Resulting Numbers: [50, 8, 3]
Generated Node #2: [50, 8, 3] from Operation: 47-44=3
Current State: 26:[50, 8, 3], Operations: ['47-44=3']
Exploring Operation: 8*3=24, Resulting Numbers: [50, 24]
Generated Node #3: [50, 24] from Operation: 8*3=24
Current State: 26:[50, 24], Operations: ['47-44=3', '8*3=24']
Exploring Operation: 50-24=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
82,
52,
3,
47
] | 84 | [
"82+52=134",
"3+47=50",
"134-50=84"
] | Current State: 84:[82, 52, 3, 47], Operations: []
Exploring Operation: 82+52=134, Resulting Numbers: [3, 47, 134]
Generated Node #2: [3, 47, 134] from Operation: 82+52=134
Current State: 84:[3, 47, 134], Operations: ['82+52=134']
Exploring Operation: 3+47=50, Resulting Numbers: [134, 50]
Generated Node #3: [134, 50] from Operation: 3+47=50
Current State: 84:[134, 50], Operations: ['82+52=134', '3+47=50']
Exploring Operation: 134-50=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
49,
51,
89,
58
] | 82 | [
"58-51=7",
"49/7=7",
"89-7=82"
] | Current State: 82:[49, 51, 89, 58], Operations: []
Exploring Operation: 58-51=7, Resulting Numbers: [49, 89, 7]
Generated Node #2: [49, 89, 7] from Operation: 58-51=7
Current State: 82:[49, 89, 7], Operations: ['58-51=7']
Exploring Operation: 49/7=7, Resulting Numbers: [89, 7]
Generated Node #3: [89, 7] from Operation: 49/7=7
Current State: 82:[89, 7], Operations: ['58-51=7', '49/7=7']
Exploring Operation: 89-7=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
61,
16,
26,
20
] | 71 | [
"61+16=77",
"26-20=6",
"77-6=71"
] | Current State: 71:[61, 16, 26, 20], Operations: []
Exploring Operation: 61+16=77, Resulting Numbers: [26, 20, 77]
Generated Node #2: [26, 20, 77] from Operation: 61+16=77
Current State: 71:[26, 20, 77], Operations: ['61+16=77']
Exploring Operation: 26-20=6, Resulting Numbers: [77, 6]
Generated Node #3: [77, 6] from Operation: 26-20=6
Current State: 71:[77, 6], Operations: ['61+16=77', '26-20=6']
Exploring Operation: 77-6=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
13,
76,
45,
46
] | 62 | [
"76-13=63",
"46-45=1",
"63-1=62"
] | Current State: 62:[13, 76, 45, 46], Operations: []
Exploring Operation: 76-13=63, Resulting Numbers: [45, 46, 63]
Generated Node #2: [45, 46, 63] from Operation: 76-13=63
Current State: 62:[45, 46, 63], Operations: ['76-13=63']
Exploring Operation: 46-45=1, Resulting Numbers: [63, 1]
Generated Node #3: [63, 1] from Operation: 46-45=1
Current State: 62:[63, 1], Operations: ['76-13=63', '46-45=1']
Exploring Operation: 63-1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
74,
54,
63,
60
] | 17 | [
"74-54=20",
"63-60=3",
"20-3=17"
] | Current State: 17:[74, 54, 63, 60], Operations: []
Exploring Operation: 74-54=20, Resulting Numbers: [63, 60, 20]
Generated Node #2: [63, 60, 20] from Operation: 74-54=20
Current State: 17:[63, 60, 20], Operations: ['74-54=20']
Exploring Operation: 63-60=3, Resulting Numbers: [20, 3]
Generated Node #3: [20, 3] from Operation: 63-60=3
Current State: 17:[20, 3], Operations: ['74-54=20', '63-60=3']
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
93,
72,
97,
36
] | 18 | [
"97-93=4",
"72/4=18",
"36-18=18"
] | Current State: 18:[93, 72, 97, 36], Operations: []
Exploring Operation: 97-93=4, Resulting Numbers: [72, 36, 4]
Generated Node #2: [72, 36, 4] from Operation: 97-93=4
Current State: 18:[72, 36, 4], Operations: ['97-93=4']
Exploring Operation: 72/4=18, Resulting Numbers: [36, 18]
Generated Node #3: [36, 18] from Operation: 72/4=18
Current State: 18:[36, 18], Operations: ['97-93=4', '72/4=18']
Exploring Operation: 36-18=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
78,
57,
94,
8
] | 55 | [
"94-78=16",
"16/8=2",
"57-2=55"
] | Current State: 55:[78, 57, 94, 8], Operations: []
Exploring Operation: 94-78=16, Resulting Numbers: [57, 8, 16]
Generated Node #2: [57, 8, 16] from Operation: 94-78=16
Current State: 55:[57, 8, 16], Operations: ['94-78=16']
Exploring Operation: 16/8=2, Resulting Numbers: [57, 2]
Generated Node #3: [57, 2] from Operation: 16/8=2
Current State: 55:[57, 2], Operations: ['94-78=16', '16/8=2']
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
27,
65,
14,
59
] | 83 | [
"65-27=38",
"59-14=45",
"38+45=83"
] | Current State: 83:[27, 65, 14, 59], Operations: []
Exploring Operation: 65-27=38, Resulting Numbers: [14, 59, 38]
Generated Node #2: [14, 59, 38] from Operation: 65-27=38
Current State: 83:[14, 59, 38], Operations: ['65-27=38']
Exploring Operation: 59-14=45, Resulting Numbers: [38, 45]
Generated Node #3: [38, 45] from Operation: 59-14=45
Current State: 83:[38, 45], Operations: ['65-27=38', '59-14=45']
Exploring Operation: 38+45=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
33,
28,
30,
66
] | 29 | [
"66/33=2",
"28+30=58",
"58/2=29"
] | Current State: 29:[33, 28, 30, 66], Operations: []
Exploring Operation: 66/33=2, Resulting Numbers: [28, 30, 2]
Generated Node #2: [28, 30, 2] from Operation: 66/33=2
Current State: 29:[28, 30, 2], Operations: ['66/33=2']
Exploring Operation: 28+30=58, Resulting Numbers: [2, 58]
Generated Node #3: [2, 58] from Operation: 28+30=58
Current State: 29:[2, 58], Operations: ['66/33=2', '28+30=58']
Exploring Operation: 58/2=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
22,
20,
90,
58
] | 26 | [
"22-20=2",
"58*2=116",
"116-90=26"
] | Current State: 26:[22, 20, 90, 58], Operations: []
Exploring Operation: 22-20=2, Resulting Numbers: [90, 58, 2]
Generated Node #2: [90, 58, 2] from Operation: 22-20=2
Current State: 26:[90, 58, 2], Operations: ['22-20=2']
Exploring Operation: 58*2=116, Resulting Numbers: [90, 116]
Generated Node #3: [90, 116] from Operation: 58*2=116
Current State: 26:[90, 116], Operations: ['22-20=2', '58*2=116']
Exploring Operation: 116-90=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
51,
62,
44,
9
] | 31 | [
"51-44=7",
"9-7=2",
"62/2=31"
] | Current State: 31:[51, 62, 44, 9], Operations: []
Exploring Operation: 51-44=7, Resulting Numbers: [62, 9, 7]
Generated Node #2: [62, 9, 7] from Operation: 51-44=7
Current State: 31:[62, 9, 7], Operations: ['51-44=7']
Exploring Operation: 9-7=2, Resulting Numbers: [62, 2]
Generated Node #3: [62, 2] from Operation: 9-7=2
Current State: 31:[62, 2], Operations: ['51-44=7', '9-7=2']
Exploring Operation: 62/2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
4,
56,
18,
38
] | 54 | [
"4*18=72",
"56-38=18",
"72-18=54"
] | Current State: 54:[4, 56, 18, 38], Operations: []
Exploring Operation: 4*18=72, Resulting Numbers: [56, 38, 72]
Generated Node #2: [56, 38, 72] from Operation: 4*18=72
Current State: 54:[56, 38, 72], Operations: ['4*18=72']
Exploring Operation: 56-38=18, Resulting Numbers: [72, 18]
Generated Node #3: [72, 18] from Operation: 56-38=18
Current State: 54:[72, 18], Operations: ['4*18=72', '56-38=18']
Exploring Operation: 72-18=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
77,
5,
35,
66
] | 78 | [
"66-35=31",
"5*31=155",
"155-77=78"
] | Current State: 78:[77, 5, 35, 66], Operations: []
Exploring Operation: 66-35=31, Resulting Numbers: [77, 5, 31]
Generated Node #2: [77, 5, 31] from Operation: 66-35=31
Current State: 78:[77, 5, 31], Operations: ['66-35=31']
Exploring Operation: 5*31=155, Resulting Numbers: [77, 155]
Generated Node #3: [77, 155] from Operation: 5*31=155
Current State: 78:[77, 155], Operations: ['66-35=31', '5*31=155']
Exploring Operation: 155-77=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
53,
9,
85,
6
] | 35 | [
"53-9=44",
"85-6=79",
"79-44=35"
] | Current State: 35:[53, 9, 85, 6], Operations: []
Exploring Operation: 53-9=44, Resulting Numbers: [85, 6, 44]
Generated Node #2: [85, 6, 44] from Operation: 53-9=44
Current State: 35:[85, 6, 44], Operations: ['53-9=44']
Exploring Operation: 85-6=79, Resulting Numbers: [44, 79]
Generated Node #3: [44, 79] from Operation: 85-6=79
Current State: 35:[44, 79], Operations: ['53-9=44', '85-6=79']
Exploring Operation: 79-44=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
28,
2,
23,
60
] | 27 | [
"28*2=56",
"23+60=83",
"83-56=27"
] | Current State: 27:[28, 2, 23, 60], Operations: []
Exploring Operation: 28*2=56, Resulting Numbers: [23, 60, 56]
Generated Node #2: [23, 60, 56] from Operation: 28*2=56
Current State: 27:[23, 60, 56], Operations: ['28*2=56']
Exploring Operation: 23+60=83, Resulting Numbers: [56, 83]
Generated Node #3: [56, 83] from Operation: 23+60=83
Current State: 27:[56, 83], Operations: ['28*2=56', '23+60=83']
Exploring Operation: 83-56=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
35,
16,
5,
31
] | 20 | [
"35-31=4",
"16*5=80",
"80/4=20"
] | Current State: 20:[35, 16, 5, 31], Operations: []
Exploring Operation: 35-31=4, Resulting Numbers: [16, 5, 4]
Generated Node #2: [16, 5, 4] from Operation: 35-31=4
Current State: 20:[16, 5, 4], Operations: ['35-31=4']
Exploring Operation: 16*5=80, Resulting Numbers: [4, 80]
Generated Node #3: [4, 80] from Operation: 16*5=80
Current State: 20:[4, 80], Operations: ['35-31=4', '16*5=80']
Exploring Operation: 80/4=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
37,
6,
96,
64
] | 43 | [
"64-37=27",
"96/6=16",
"27+16=43"
] | Current State: 43:[37, 6, 96, 64], Operations: []
Exploring Operation: 64-37=27, Resulting Numbers: [6, 96, 27]
Generated Node #2: [6, 96, 27] from Operation: 64-37=27
Current State: 43:[6, 96, 27], Operations: ['64-37=27']
Exploring Operation: 96/6=16, Resulting Numbers: [27, 16]
Generated Node #3: [27, 16] from Operation: 96/6=16
Current State: 43:[27, 16], Operations: ['64-37=27', '96/6=16']
Exploring Operation: 27+16=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
7,
10,
8,
57
] | 69 | [
"10+8=18",
"7*18=126",
"126-57=69"
] | Current State: 69:[7, 10, 8, 57], Operations: []
Exploring Operation: 10+8=18, Resulting Numbers: [7, 57, 18]
Generated Node #2: [7, 57, 18] from Operation: 10+8=18
Current State: 69:[7, 57, 18], Operations: ['10+8=18']
Exploring Operation: 7*18=126, Resulting Numbers: [57, 126]
Generated Node #3: [57, 126] from Operation: 7*18=126
Current State: 69:[57, 126], Operations: ['10+8=18', '7*18=126']
Exploring Operation: 126-57=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
18,
97,
29,
52
] | 45 | [
"97+29=126",
"126/18=7",
"52-7=45"
] | Current State: 45:[18, 97, 29, 52], Operations: []
Exploring Operation: 97+29=126, Resulting Numbers: [18, 52, 126]
Generated Node #2: [18, 52, 126] from Operation: 97+29=126
Current State: 45:[18, 52, 126], Operations: ['97+29=126']
Exploring Operation: 126/18=7, Resulting Numbers: [52, 7]
Generated Node #3: [52, 7] from Operation: 126/18=7
Current State: 45:[52, 7], Operations: ['97+29=126', '126/18=7']
Exploring Operation: 52-7=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
29,
67,
31,
32
] | 96 | [
"29+67=96",
"32-31=1",
"96*1=96"
] | Current State: 96:[29, 67, 31, 32], Operations: []
Exploring Operation: 29+67=96, Resulting Numbers: [31, 32, 96]
Generated Node #2: [31, 32, 96] from Operation: 29+67=96
Current State: 96:[31, 32, 96], Operations: ['29+67=96']
Exploring Operation: 32-31=1, Resulting Numbers: [96, 1]
Generated Node #3: [96, 1] from Operation: 32-31=1
Current State: 96:[96, 1], Operations: ['29+67=96', '32-31=1']
Exploring Operation: 96*1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
51,
54,
47,
62
] | 32 | [
"51-47=4",
"62-54=8",
"4*8=32"
] | Current State: 32:[51, 54, 47, 62], Operations: []
Exploring Operation: 51-47=4, Resulting Numbers: [54, 62, 4]
Generated Node #2: [54, 62, 4] from Operation: 51-47=4
Current State: 32:[54, 62, 4], Operations: ['51-47=4']
Exploring Operation: 62-54=8, Resulting Numbers: [4, 8]
Generated Node #3: [4, 8] from Operation: 62-54=8
Current State: 32:[4, 8], Operations: ['51-47=4', '62-54=8']
Exploring Operation: 4*8=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
21,
69,
66,
62
] | 55 | [
"69-66=3",
"21/3=7",
"62-7=55"
] | Current State: 55:[21, 69, 66, 62], Operations: []
Exploring Operation: 69-66=3, Resulting Numbers: [21, 62, 3]
Generated Node #2: [21, 62, 3] from Operation: 69-66=3
Current State: 55:[21, 62, 3], Operations: ['69-66=3']
Exploring Operation: 21/3=7, Resulting Numbers: [62, 7]
Generated Node #3: [62, 7] from Operation: 21/3=7
Current State: 55:[62, 7], Operations: ['69-66=3', '21/3=7']
Exploring Operation: 62-7=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
86,
59,
66,
43
] | 14 | [
"86/43=2",
"66-59=7",
"2*7=14"
] | Current State: 14:[86, 59, 66, 43], Operations: []
Exploring Operation: 86/43=2, Resulting Numbers: [59, 66, 2]
Generated Node #2: [59, 66, 2] from Operation: 86/43=2
Current State: 14:[59, 66, 2], Operations: ['86/43=2']
Exploring Operation: 66-59=7, Resulting Numbers: [2, 7]
Generated Node #3: [2, 7] from Operation: 66-59=7
Current State: 14:[2, 7], Operations: ['86/43=2', '66-59=7']
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
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