nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
55,
1,
52,
14
] | 56 | [
"55+1=56",
"56-52=4",
"14*4=56"
] | Current State: 56:[55, 1, 52, 14], Operations: []
Exploring Operation: 55+1=56, Resulting Numbers: [52, 14, 56]
Generated Node #2: [52, 14, 56] from Operation: 55+1=56
Current State: 56:[52, 14, 56], Operations: ['55+1=56']
Exploring Operation: 56-52=4, Resulting Numbers: [14, 4]
Generated Node #3: [14, 4] from Operation: 56-52=4
Current State: 56:[14, 4], Operations: ['55+1=56', '56-52=4']
Exploring Operation: 14*4=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
68,
79,
65,
30
] | 84 | [
"79-68=11",
"65+30=95",
"95-11=84"
] | Current State: 84:[68, 79, 65, 30], Operations: []
Exploring Operation: 79-68=11, Resulting Numbers: [65, 30, 11]
Generated Node #2: [65, 30, 11] from Operation: 79-68=11
Current State: 84:[65, 30, 11], Operations: ['79-68=11']
Exploring Operation: 65+30=95, Resulting Numbers: [11, 95]
Generated Node #3: [11, 95] from Operation: 65+30=95
Current State: 84:[11, 95], Operations: ['79-68=11', '65+30=95']
Exploring Operation: 95-11=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
54,
75,
99,
72
] | 63 | [
"75-72=3",
"54*3=162",
"162-99=63"
] | Current State: 63:[54, 75, 99, 72], Operations: []
Exploring Operation: 75-72=3, Resulting Numbers: [54, 99, 3]
Generated Node #2: [54, 99, 3] from Operation: 75-72=3
Current State: 63:[54, 99, 3], Operations: ['75-72=3']
Exploring Operation: 54*3=162, Resulting Numbers: [99, 162]
Generated Node #3: [99, 162] from Operation: 54*3=162
Current State: 63:[99, 162], Operations: ['75-72=3', '54*3=162']
Exploring Operation: 162-99=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
19,
12,
28,
3
] | 26 | [
"12/3=4",
"28/4=7",
"19+7=26"
] | Current State: 26:[19, 12, 28, 3], Operations: []
Exploring Operation: 12/3=4, Resulting Numbers: [19, 28, 4]
Generated Node #2: [19, 28, 4] from Operation: 12/3=4
Current State: 26:[19, 28, 4], Operations: ['12/3=4']
Exploring Operation: 28/4=7, Resulting Numbers: [19, 7]
Generated Node #3: [19, 7] from Operation: 28/4=7
Current State: 26:[19, 7], Operations: ['12/3=4', '28/4=7']
Exploring Operation: 19+7=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
82,
53,
59,
53
] | 35 | [
"82-53=29",
"59-53=6",
"29+6=35"
] | Current State: 35:[82, 53, 59, 53], Operations: []
Exploring Operation: 82-53=29, Resulting Numbers: [59, 29]
Generated Node #2: [59, 29] from Operation: 82-53=29
Current State: 35:[59, 29], Operations: ['82-53=29']
Exploring Operation: 59-53=6, Resulting Numbers: [29, 6]
Generated Node #3: [29, 6] from Operation: 59-53=6
Current State: 35:[29, 6], Operations: ['82-53=29', '59-53=6']
Exploring Operation: 29+6=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
46,
45,
27,
13
] | 97 | [
"45*27=1215",
"46+1215=1261",
"1261/13=97"
] | Current State: 97:[46, 45, 27, 13], Operations: []
Exploring Operation: 45*27=1215, Resulting Numbers: [46, 13, 1215]
Generated Node #2: [46, 13, 1215] from Operation: 45*27=1215
Current State: 97:[46, 13, 1215], Operations: ['45*27=1215']
Exploring Operation: 46+1215=1261, Resulting Numbers: [13, 1261]
Generated Node #3: [13, 1261] from Operation: 46+1215=1261
Current State: 97:[13, 1261], Operations: ['45*27=1215', '46+1215=1261']
Exploring Operation: 1261/13=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
71,
89,
82,
23
] | 77 | [
"89-71=18",
"82-23=59",
"18+59=77"
] | Current State: 77:[71, 89, 82, 23], Operations: []
Exploring Operation: 89-71=18, Resulting Numbers: [82, 23, 18]
Generated Node #2: [82, 23, 18] from Operation: 89-71=18
Current State: 77:[82, 23, 18], Operations: ['89-71=18']
Exploring Operation: 82-23=59, Resulting Numbers: [18, 59]
Generated Node #3: [18, 59] from Operation: 82-23=59
Current State: 77:[18, 59], Operations: ['89-71=18', '82-23=59']
Exploring Operation: 18+59=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
3,
35,
5,
40
] | 55 | [
"5-3=2",
"40/2=20",
"35+20=55"
] | Current State: 55:[3, 35, 5, 40], Operations: []
Exploring Operation: 5-3=2, Resulting Numbers: [35, 40, 2]
Generated Node #2: [35, 40, 2] from Operation: 5-3=2
Current State: 55:[35, 40, 2], Operations: ['5-3=2']
Exploring Operation: 40/2=20, Resulting Numbers: [35, 20]
Generated Node #3: [35, 20] from Operation: 40/2=20
Current State: 55:[35, 20], Operations: ['5-3=2', '40/2=20']
Exploring Operation: 35+20=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
56,
49,
39,
25
] | 57 | [
"56-49=7",
"39+25=64",
"64-7=57"
] | Current State: 57:[56, 49, 39, 25], Operations: []
Exploring Operation: 56-49=7, Resulting Numbers: [39, 25, 7]
Generated Node #2: [39, 25, 7] from Operation: 56-49=7
Current State: 57:[39, 25, 7], Operations: ['56-49=7']
Exploring Operation: 39+25=64, Resulting Numbers: [7, 64]
Generated Node #3: [7, 64] from Operation: 39+25=64
Current State: 57:[7, 64], Operations: ['56-49=7', '39+25=64']
Exploring Operation: 64-7=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
21,
77,
78,
54
] | 39 | [
"77-21=56",
"56-54=2",
"78/2=39"
] | Current State: 39:[21, 77, 78, 54], Operations: []
Exploring Operation: 77-21=56, Resulting Numbers: [78, 54, 56]
Generated Node #2: [78, 54, 56] from Operation: 77-21=56
Current State: 39:[78, 54, 56], Operations: ['77-21=56']
Exploring Operation: 56-54=2, Resulting Numbers: [78, 2]
Generated Node #3: [78, 2] from Operation: 56-54=2
Current State: 39:[78, 2], Operations: ['77-21=56', '56-54=2']
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
35,
56,
36,
37
] | 58 | [
"35+37=72",
"72/36=2",
"56+2=58"
] | Current State: 58:[35, 56, 36, 37], Operations: []
Exploring Operation: 35+37=72, Resulting Numbers: [56, 36, 72]
Generated Node #2: [56, 36, 72] from Operation: 35+37=72
Current State: 58:[56, 36, 72], Operations: ['35+37=72']
Exploring Operation: 72/36=2, Resulting Numbers: [56, 2]
Generated Node #3: [56, 2] from Operation: 72/36=2
Current State: 58:[56, 2], Operations: ['35+37=72', '72/36=2']
Exploring Operation: 56+2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
94,
94,
81,
19
] | 81 | [
"94-94=0",
"19*0=0",
"81+0=81"
] | Current State: 81:[94, 94, 81, 19], Operations: []
Exploring Operation: 94-94=0, Resulting Numbers: [81, 19, 0]
Generated Node #2: [81, 19, 0] from Operation: 94-94=0
Current State: 81:[81, 19, 0], Operations: ['94-94=0']
Exploring Operation: 19*0=0, Resulting Numbers: [81, 0]
Generated Node #3: [81, 0] from Operation: 19*0=0
Current State: 81:[81, 0], Operations: ['94-94=0', '19*0=0']
Exploring Operation: 81+0=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
61,
61,
58,
90
] | 59 | [
"90-61=29",
"58/29=2",
"61-2=59"
] | Current State: 59:[61, 61, 58, 90], Operations: []
Exploring Operation: 90-61=29, Resulting Numbers: [58, 29]
Generated Node #2: [58, 29] from Operation: 90-61=29
Current State: 59:[58, 29], Operations: ['90-61=29']
Exploring Operation: 58/29=2, Resulting Numbers: [2]
2,59 equal: Goal Reached
Exploring Operation: 61-2=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
91,
30,
66,
29
] | 13 | [
"66-30=36",
"36-29=7",
"91/7=13"
] | Current State: 13:[91, 30, 66, 29], Operations: []
Exploring Operation: 66-30=36, Resulting Numbers: [91, 29, 36]
Generated Node #2: [91, 29, 36] from Operation: 66-30=36
Current State: 13:[91, 29, 36], Operations: ['66-30=36']
Exploring Operation: 36-29=7, Resulting Numbers: [91, 7]
Generated Node #3: [91, 7] from Operation: 36-29=7
Current State: 13:[91, 7], Operations: ['66-30=36', '36-29=7']
Exploring Operation: 91/7=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
17,
2,
10,
58
] | 92 | [
"17-2=15",
"10*15=150",
"150-58=92"
] | Current State: 92:[17, 2, 10, 58], Operations: []
Exploring Operation: 17-2=15, Resulting Numbers: [10, 58, 15]
Generated Node #2: [10, 58, 15] from Operation: 17-2=15
Current State: 92:[10, 58, 15], Operations: ['17-2=15']
Exploring Operation: 10*15=150, Resulting Numbers: [58, 150]
Generated Node #3: [58, 150] from Operation: 10*15=150
Current State: 92:[58, 150], Operations: ['17-2=15', '10*15=150']
Exploring Operation: 150-58=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
46,
98,
70,
82
] | 100 | [
"98-46=52",
"70+82=152",
"152-52=100"
] | Current State: 100:[46, 98, 70, 82], Operations: []
Exploring Operation: 98-46=52, Resulting Numbers: [70, 82, 52]
Generated Node #2: [70, 82, 52] from Operation: 98-46=52
Current State: 100:[70, 82, 52], Operations: ['98-46=52']
Exploring Operation: 70+82=152, Resulting Numbers: [52, 152]
Generated Node #3: [52, 152] from Operation: 70+82=152
Current State: 100:[52, 152], Operations: ['98-46=52', '70+82=152']
Exploring Operation: 152-52=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
34,
36,
56,
8
] | 24 | [
"36-34=2",
"56-8=48",
"48/2=24"
] | Current State: 24:[34, 36, 56, 8], Operations: []
Exploring Operation: 36-34=2, Resulting Numbers: [56, 8, 2]
Generated Node #2: [56, 8, 2] from Operation: 36-34=2
Current State: 24:[56, 8, 2], Operations: ['36-34=2']
Exploring Operation: 56-8=48, Resulting Numbers: [2, 48]
Generated Node #3: [2, 48] from Operation: 56-8=48
Current State: 24:[2, 48], Operations: ['36-34=2', '56-8=48']
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
70,
5,
9,
49
] | 22 | [
"70-9=61",
"49+61=110",
"110/5=22"
] | Current State: 22:[70, 5, 9, 49], Operations: []
Exploring Operation: 70-9=61, Resulting Numbers: [5, 49, 61]
Generated Node #2: [5, 49, 61] from Operation: 70-9=61
Current State: 22:[5, 49, 61], Operations: ['70-9=61']
Exploring Operation: 49+61=110, Resulting Numbers: [5, 110]
Generated Node #3: [5, 110] from Operation: 49+61=110
Current State: 22:[5, 110], Operations: ['70-9=61', '49+61=110']
Exploring Operation: 110/5=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
73,
71,
39,
50
] | 28 | [
"73-71=2",
"39*2=78",
"78-50=28"
] | Current State: 28:[73, 71, 39, 50], Operations: []
Exploring Operation: 73-71=2, Resulting Numbers: [39, 50, 2]
Generated Node #2: [39, 50, 2] from Operation: 73-71=2
Current State: 28:[39, 50, 2], Operations: ['73-71=2']
Exploring Operation: 39*2=78, Resulting Numbers: [50, 78]
Generated Node #3: [50, 78] from Operation: 39*2=78
Current State: 28:[50, 78], Operations: ['73-71=2', '39*2=78']
Exploring Operation: 78-50=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
47,
27,
23,
17
] | 51 | [
"47-27=20",
"23-20=3",
"17*3=51"
] | Current State: 51:[47, 27, 23, 17], Operations: []
Exploring Operation: 47-27=20, Resulting Numbers: [23, 17, 20]
Generated Node #2: [23, 17, 20] from Operation: 47-27=20
Current State: 51:[23, 17, 20], Operations: ['47-27=20']
Exploring Operation: 23-20=3, Resulting Numbers: [17, 3]
Generated Node #3: [17, 3] from Operation: 23-20=3
Current State: 51:[17, 3], Operations: ['47-27=20', '23-20=3']
Exploring Operation: 17*3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
51,
13,
96,
36
] | 94 | [
"51-13=38",
"96+36=132",
"132-38=94"
] | Current State: 94:[51, 13, 96, 36], Operations: []
Exploring Operation: 51-13=38, Resulting Numbers: [96, 36, 38]
Generated Node #2: [96, 36, 38] from Operation: 51-13=38
Current State: 94:[96, 36, 38], Operations: ['51-13=38']
Exploring Operation: 96+36=132, Resulting Numbers: [38, 132]
Generated Node #3: [38, 132] from Operation: 96+36=132
Current State: 94:[38, 132], Operations: ['51-13=38', '96+36=132']
Exploring Operation: 132-38=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
93,
58,
98,
82
] | 51 | [
"93-58=35",
"98-82=16",
"35+16=51"
] | Current State: 51:[93, 58, 98, 82], Operations: []
Exploring Operation: 93-58=35, Resulting Numbers: [98, 82, 35]
Generated Node #2: [98, 82, 35] from Operation: 93-58=35
Current State: 51:[98, 82, 35], Operations: ['93-58=35']
Exploring Operation: 98-82=16, Resulting Numbers: [35, 16]
Generated Node #3: [35, 16] from Operation: 98-82=16
Current State: 51:[35, 16], Operations: ['93-58=35', '98-82=16']
Exploring Operation: 35+16=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
51,
2,
52,
62
] | 43 | [
"51+2=53",
"62-52=10",
"53-10=43"
] | Current State: 43:[51, 2, 52, 62], Operations: []
Exploring Operation: 51+2=53, Resulting Numbers: [52, 62, 53]
Generated Node #2: [52, 62, 53] from Operation: 51+2=53
Current State: 43:[52, 62, 53], Operations: ['51+2=53']
Exploring Operation: 62-52=10, Resulting Numbers: [53, 10]
Generated Node #3: [53, 10] from Operation: 62-52=10
Current State: 43:[53, 10], Operations: ['51+2=53', '62-52=10']
Exploring Operation: 53-10=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
82,
46,
28,
64
] | 30 | [
"82+46=128",
"128/64=2",
"28+2=30"
] | Current State: 30:[82, 46, 28, 64], Operations: []
Exploring Operation: 82+46=128, Resulting Numbers: [28, 64, 128]
Generated Node #2: [28, 64, 128] from Operation: 82+46=128
Current State: 30:[28, 64, 128], Operations: ['82+46=128']
Exploring Operation: 128/64=2, Resulting Numbers: [28, 2]
Generated Node #3: [28, 2] from Operation: 128/64=2
Current State: 30:[28, 2], Operations: ['82+46=128', '128/64=2']
Exploring Operation: 28+2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
68,
63,
52,
58
] | 30 | [
"68-63=5",
"58-52=6",
"5*6=30"
] | Current State: 30:[68, 63, 52, 58], Operations: []
Exploring Operation: 68-63=5, Resulting Numbers: [52, 58, 5]
Generated Node #2: [52, 58, 5] from Operation: 68-63=5
Current State: 30:[52, 58, 5], Operations: ['68-63=5']
Exploring Operation: 58-52=6, Resulting Numbers: [5, 6]
Generated Node #3: [5, 6] from Operation: 58-52=6
Current State: 30:[5, 6], Operations: ['68-63=5', '58-52=6']
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
64,
88,
96,
24
] | 28 | [
"88-64=24",
"96/24=4",
"24+4=28"
] | Current State: 28:[64, 88, 96, 24], Operations: []
Exploring Operation: 88-64=24, Resulting Numbers: [96, 24, 24]
Generated Node #2: [96, 24, 24] from Operation: 88-64=24
Current State: 28:[96, 24, 24], Operations: ['88-64=24']
Exploring Operation: 96/24=4, Resulting Numbers: [4]
4,28 equal: Goal Reached
Exploring Operation: 24+4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
2,
94,
42,
78
] | 56 | [
"94-2=92",
"78-42=36",
"92-36=56"
] | Current State: 56:[2, 94, 42, 78], Operations: []
Exploring Operation: 94-2=92, Resulting Numbers: [42, 78, 92]
Generated Node #2: [42, 78, 92] from Operation: 94-2=92
Current State: 56:[42, 78, 92], Operations: ['94-2=92']
Exploring Operation: 78-42=36, Resulting Numbers: [92, 36]
Generated Node #3: [92, 36] from Operation: 78-42=36
Current State: 56:[92, 36], Operations: ['94-2=92', '78-42=36']
Exploring Operation: 92-36=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
59,
61,
65,
85
] | 40 | [
"61-59=2",
"85-65=20",
"2*20=40"
] | Current State: 40:[59, 61, 65, 85], Operations: []
Exploring Operation: 61-59=2, Resulting Numbers: [65, 85, 2]
Generated Node #2: [65, 85, 2] from Operation: 61-59=2
Current State: 40:[65, 85, 2], Operations: ['61-59=2']
Exploring Operation: 85-65=20, Resulting Numbers: [2, 20]
Generated Node #3: [2, 20] from Operation: 85-65=20
Current State: 40:[2, 20], Operations: ['61-59=2', '85-65=20']
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
78,
6,
70,
83
] | 71 | [
"78+6=84",
"83-70=13",
"84-13=71"
] | Current State: 71:[78, 6, 70, 83], Operations: []
Exploring Operation: 78+6=84, Resulting Numbers: [70, 83, 84]
Generated Node #2: [70, 83, 84] from Operation: 78+6=84
Current State: 71:[70, 83, 84], Operations: ['78+6=84']
Exploring Operation: 83-70=13, Resulting Numbers: [84, 13]
Generated Node #3: [84, 13] from Operation: 83-70=13
Current State: 71:[84, 13], Operations: ['78+6=84', '83-70=13']
Exploring Operation: 84-13=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
44,
7,
26,
25
] | 49 | [
"44-26=18",
"25-18=7",
"7*7=49"
] | Current State: 49:[44, 7, 26, 25], Operations: []
Exploring Operation: 44-26=18, Resulting Numbers: [7, 25, 18]
Generated Node #2: [7, 25, 18] from Operation: 44-26=18
Current State: 49:[7, 25, 18], Operations: ['44-26=18']
Exploring Operation: 25-18=7, Resulting Numbers: [7, 7]
Generated Node #3: [7, 7] from Operation: 25-18=7
Current State: 49:[7, 7], Operations: ['44-26=18', '25-18=7']
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
64,
40,
62,
63
] | 23 | [
"64-40=24",
"63-62=1",
"24-1=23"
] | Current State: 23:[64, 40, 62, 63], Operations: []
Exploring Operation: 64-40=24, Resulting Numbers: [62, 63, 24]
Generated Node #2: [62, 63, 24] from Operation: 64-40=24
Current State: 23:[62, 63, 24], Operations: ['64-40=24']
Exploring Operation: 63-62=1, Resulting Numbers: [24, 1]
Generated Node #3: [24, 1] from Operation: 63-62=1
Current State: 23:[24, 1], Operations: ['64-40=24', '63-62=1']
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
27,
28,
34,
51
] | 47 | [
"34-27=7",
"28/7=4",
"51-4=47"
] | Current State: 47:[27, 28, 34, 51], Operations: []
Exploring Operation: 34-27=7, Resulting Numbers: [28, 51, 7]
Generated Node #2: [28, 51, 7] from Operation: 34-27=7
Current State: 47:[28, 51, 7], Operations: ['34-27=7']
Exploring Operation: 28/7=4, Resulting Numbers: [51, 4]
Generated Node #3: [51, 4] from Operation: 28/7=4
Current State: 47:[51, 4], Operations: ['34-27=7', '28/7=4']
Exploring Operation: 51-4=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
97,
41,
59,
52
] | 38 | [
"97+59=156",
"156/52=3",
"41-3=38"
] | Current State: 38:[97, 41, 59, 52], Operations: []
Exploring Operation: 97+59=156, Resulting Numbers: [41, 52, 156]
Generated Node #2: [41, 52, 156] from Operation: 97+59=156
Current State: 38:[41, 52, 156], Operations: ['97+59=156']
Exploring Operation: 156/52=3, Resulting Numbers: [41, 3]
Generated Node #3: [41, 3] from Operation: 156/52=3
Current State: 38:[41, 3], Operations: ['97+59=156', '156/52=3']
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
52,
19,
12,
46
] | 42 | [
"52-46=6",
"19-12=7",
"6*7=42"
] | Current State: 42:[52, 19, 12, 46], Operations: []
Exploring Operation: 52-46=6, Resulting Numbers: [19, 12, 6]
Generated Node #2: [19, 12, 6] from Operation: 52-46=6
Current State: 42:[19, 12, 6], Operations: ['52-46=6']
Exploring Operation: 19-12=7, Resulting Numbers: [6, 7]
Generated Node #3: [6, 7] from Operation: 19-12=7
Current State: 42:[6, 7], Operations: ['52-46=6', '19-12=7']
Exploring Operation: 6*7=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
8,
65,
57,
7
] | 48 | [
"8*7=56",
"65-57=8",
"56-8=48"
] | Current State: 48:[8, 65, 57, 7], Operations: []
Exploring Operation: 8*7=56, Resulting Numbers: [65, 57, 56]
Generated Node #2: [65, 57, 56] from Operation: 8*7=56
Current State: 48:[65, 57, 56], Operations: ['8*7=56']
Exploring Operation: 65-57=8, Resulting Numbers: [56, 8]
Generated Node #3: [56, 8] from Operation: 65-57=8
Current State: 48:[56, 8], Operations: ['8*7=56', '65-57=8']
Exploring Operation: 56-8=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
15,
8,
58,
31
] | 96 | [
"15-8=7",
"58+31=89",
"7+89=96"
] | Current State: 96:[15, 8, 58, 31], Operations: []
Exploring Operation: 15-8=7, Resulting Numbers: [58, 31, 7]
Generated Node #2: [58, 31, 7] from Operation: 15-8=7
Current State: 96:[58, 31, 7], Operations: ['15-8=7']
Exploring Operation: 58+31=89, Resulting Numbers: [7, 89]
Generated Node #3: [7, 89] from Operation: 58+31=89
Current State: 96:[7, 89], Operations: ['15-8=7', '58+31=89']
Exploring Operation: 7+89=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
60,
77,
60,
80
] | 57 | [
"60*77=4620",
"4620-60=4560",
"4560/80=57"
] | Current State: 57:[60, 77, 60, 80], Operations: []
Exploring Operation: 60*77=4620, Resulting Numbers: [80, 4620]
Generated Node #2: [80, 4620] from Operation: 60*77=4620
Current State: 57:[80, 4620], Operations: ['60*77=4620']
Exploring Operation: 4620-60=4560, Resulting Numbers: [80, 4560]
Generated Node #3: [80, 4560] from Operation: 4620-60=4560
Current State: 57:[80, 4560], Operations: ['60*77=4620', '4620-60=4560']
Exploring Operation: 4560/80=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
6,
50,
81,
53
] | 21 | [
"53-50=3",
"81/3=27",
"27-6=21"
] | Current State: 21:[6, 50, 81, 53], Operations: []
Exploring Operation: 53-50=3, Resulting Numbers: [6, 81, 3]
Generated Node #2: [6, 81, 3] from Operation: 53-50=3
Current State: 21:[6, 81, 3], Operations: ['53-50=3']
Exploring Operation: 81/3=27, Resulting Numbers: [6, 27]
Generated Node #3: [6, 27] from Operation: 81/3=27
Current State: 21:[6, 27], Operations: ['53-50=3', '81/3=27']
Exploring Operation: 27-6=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
85,
35,
45,
31
] | 26 | [
"85-35=50",
"45+31=76",
"76-50=26"
] | Current State: 26:[85, 35, 45, 31], Operations: []
Exploring Operation: 85-35=50, Resulting Numbers: [45, 31, 50]
Generated Node #2: [45, 31, 50] from Operation: 85-35=50
Current State: 26:[45, 31, 50], Operations: ['85-35=50']
Exploring Operation: 45+31=76, Resulting Numbers: [50, 76]
Generated Node #3: [50, 76] from Operation: 45+31=76
Current State: 26:[50, 76], Operations: ['85-35=50', '45+31=76']
Exploring Operation: 76-50=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
15,
27,
23,
85
] | 96 | [
"27-15=12",
"23+85=108",
"108-12=96"
] | Current State: 96:[15, 27, 23, 85], Operations: []
Exploring Operation: 27-15=12, Resulting Numbers: [23, 85, 12]
Generated Node #2: [23, 85, 12] from Operation: 27-15=12
Current State: 96:[23, 85, 12], Operations: ['27-15=12']
Exploring Operation: 23+85=108, Resulting Numbers: [12, 108]
Generated Node #3: [12, 108] from Operation: 23+85=108
Current State: 96:[12, 108], Operations: ['27-15=12', '23+85=108']
Exploring Operation: 108-12=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
36,
20,
8,
24
] | 66 | [
"36*20=720",
"720/8=90",
"90-24=66"
] | Current State: 66:[36, 20, 8, 24], Operations: []
Exploring Operation: 36*20=720, Resulting Numbers: [8, 24, 720]
Generated Node #2: [8, 24, 720] from Operation: 36*20=720
Current State: 66:[8, 24, 720], Operations: ['36*20=720']
Exploring Operation: 720/8=90, Resulting Numbers: [24, 90]
Generated Node #3: [24, 90] from Operation: 720/8=90
Current State: 66:[24, 90], Operations: ['36*20=720', '720/8=90']
Exploring Operation: 90-24=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
99,
11,
14,
94
] | 41 | [
"99-94=5",
"11*5=55",
"55-14=41"
] | Current State: 41:[99, 11, 14, 94], Operations: []
Exploring Operation: 99-94=5, Resulting Numbers: [11, 14, 5]
Generated Node #2: [11, 14, 5] from Operation: 99-94=5
Current State: 41:[11, 14, 5], Operations: ['99-94=5']
Exploring Operation: 11*5=55, Resulting Numbers: [14, 55]
Generated Node #3: [14, 55] from Operation: 11*5=55
Current State: 41:[14, 55], Operations: ['99-94=5', '11*5=55']
Exploring Operation: 55-14=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
19,
42,
44,
12
] | 29 | [
"19+42=61",
"44-12=32",
"61-32=29"
] | Current State: 29:[19, 42, 44, 12], Operations: []
Exploring Operation: 19+42=61, Resulting Numbers: [44, 12, 61]
Generated Node #2: [44, 12, 61] from Operation: 19+42=61
Current State: 29:[44, 12, 61], Operations: ['19+42=61']
Exploring Operation: 44-12=32, Resulting Numbers: [61, 32]
Generated Node #3: [61, 32] from Operation: 44-12=32
Current State: 29:[61, 32], Operations: ['19+42=61', '44-12=32']
Exploring Operation: 61-32=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
74,
61,
93,
76
] | 65 | [
"93-74=19",
"76/19=4",
"61+4=65"
] | Current State: 65:[74, 61, 93, 76], Operations: []
Exploring Operation: 93-74=19, Resulting Numbers: [61, 76, 19]
Generated Node #2: [61, 76, 19] from Operation: 93-74=19
Current State: 65:[61, 76, 19], Operations: ['93-74=19']
Exploring Operation: 76/19=4, Resulting Numbers: [61, 4]
Generated Node #3: [61, 4] from Operation: 76/19=4
Current State: 65:[61, 4], Operations: ['93-74=19', '76/19=4']
Exploring Operation: 61+4=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
73,
90,
80,
2
] | 68 | [
"90-80=10",
"10/2=5",
"73-5=68"
] | Current State: 68:[73, 90, 80, 2], Operations: []
Exploring Operation: 90-80=10, Resulting Numbers: [73, 2, 10]
Generated Node #2: [73, 2, 10] from Operation: 90-80=10
Current State: 68:[73, 2, 10], Operations: ['90-80=10']
Exploring Operation: 10/2=5, Resulting Numbers: [73, 5]
Generated Node #3: [73, 5] from Operation: 10/2=5
Current State: 68:[73, 5], Operations: ['90-80=10', '10/2=5']
Exploring Operation: 73-5=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
90,
35,
80,
33
] | 100 | [
"35-33=2",
"90*2=180",
"180-80=100"
] | Current State: 100:[90, 35, 80, 33], Operations: []
Exploring Operation: 35-33=2, Resulting Numbers: [90, 80, 2]
Generated Node #2: [90, 80, 2] from Operation: 35-33=2
Current State: 100:[90, 80, 2], Operations: ['35-33=2']
Exploring Operation: 90*2=180, Resulting Numbers: [80, 180]
Generated Node #3: [80, 180] from Operation: 90*2=180
Current State: 100:[80, 180], Operations: ['35-33=2', '90*2=180']
Exploring Operation: 180-80=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
18,
32,
36,
13
] | 58 | [
"36/18=2",
"13*2=26",
"32+26=58"
] | Current State: 58:[18, 32, 36, 13], Operations: []
Exploring Operation: 36/18=2, Resulting Numbers: [32, 13, 2]
Generated Node #2: [32, 13, 2] from Operation: 36/18=2
Current State: 58:[32, 13, 2], Operations: ['36/18=2']
Exploring Operation: 13*2=26, Resulting Numbers: [32, 26]
Generated Node #3: [32, 26] from Operation: 13*2=26
Current State: 58:[32, 26], Operations: ['36/18=2', '13*2=26']
Exploring Operation: 32+26=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
29,
25,
4,
53
] | 71 | [
"53-29=24",
"4*24=96",
"96-25=71"
] | Current State: 71:[29, 25, 4, 53], Operations: []
Exploring Operation: 53-29=24, Resulting Numbers: [25, 4, 24]
Generated Node #2: [25, 4, 24] from Operation: 53-29=24
Current State: 71:[25, 4, 24], Operations: ['53-29=24']
Exploring Operation: 4*24=96, Resulting Numbers: [25, 96]
Generated Node #3: [25, 96] from Operation: 4*24=96
Current State: 71:[25, 96], Operations: ['53-29=24', '4*24=96']
Exploring Operation: 96-25=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
67,
95,
85,
19
] | 84 | [
"95/19=5",
"85/5=17",
"67+17=84"
] | Current State: 84:[67, 95, 85, 19], Operations: []
Exploring Operation: 95/19=5, Resulting Numbers: [67, 85, 5]
Generated Node #2: [67, 85, 5] from Operation: 95/19=5
Current State: 84:[67, 85, 5], Operations: ['95/19=5']
Exploring Operation: 85/5=17, Resulting Numbers: [67, 17]
Generated Node #3: [67, 17] from Operation: 85/5=17
Current State: 84:[67, 17], Operations: ['95/19=5', '85/5=17']
Exploring Operation: 67+17=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
30,
48,
33,
52
] | 59 | [
"30+48=78",
"52-33=19",
"78-19=59"
] | Current State: 59:[30, 48, 33, 52], Operations: []
Exploring Operation: 30+48=78, Resulting Numbers: [33, 52, 78]
Generated Node #2: [33, 52, 78] from Operation: 30+48=78
Current State: 59:[33, 52, 78], Operations: ['30+48=78']
Exploring Operation: 52-33=19, Resulting Numbers: [78, 19]
Generated Node #3: [78, 19] from Operation: 52-33=19
Current State: 59:[78, 19], Operations: ['30+48=78', '52-33=19']
Exploring Operation: 78-19=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
4,
22,
10,
41
] | 77 | [
"4+22=26",
"10+41=51",
"26+51=77"
] | Current State: 77:[4, 22, 10, 41], Operations: []
Exploring Operation: 4+22=26, Resulting Numbers: [10, 41, 26]
Generated Node #2: [10, 41, 26] from Operation: 4+22=26
Current State: 77:[10, 41, 26], Operations: ['4+22=26']
Exploring Operation: 10+41=51, Resulting Numbers: [26, 51]
Generated Node #3: [26, 51] from Operation: 10+41=51
Current State: 77:[26, 51], Operations: ['4+22=26', '10+41=51']
Exploring Operation: 26+51=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
5,
23,
10,
85
] | 38 | [
"85-10=75",
"75/5=15",
"23+15=38"
] | Current State: 38:[5, 23, 10, 85], Operations: []
Exploring Operation: 85-10=75, Resulting Numbers: [5, 23, 75]
Generated Node #2: [5, 23, 75] from Operation: 85-10=75
Current State: 38:[5, 23, 75], Operations: ['85-10=75']
Exploring Operation: 75/5=15, Resulting Numbers: [23, 15]
Generated Node #3: [23, 15] from Operation: 75/5=15
Current State: 38:[23, 15], Operations: ['85-10=75', '75/5=15']
Exploring Operation: 23+15=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
16,
56,
47,
55
] | 62 | [
"56-16=40",
"47+55=102",
"102-40=62"
] | Current State: 62:[16, 56, 47, 55], Operations: []
Exploring Operation: 56-16=40, Resulting Numbers: [47, 55, 40]
Generated Node #2: [47, 55, 40] from Operation: 56-16=40
Current State: 62:[47, 55, 40], Operations: ['56-16=40']
Exploring Operation: 47+55=102, Resulting Numbers: [40, 102]
Generated Node #3: [40, 102] from Operation: 47+55=102
Current State: 62:[40, 102], Operations: ['56-16=40', '47+55=102']
Exploring Operation: 102-40=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
76,
35,
36,
11
] | 87 | [
"76+11=87",
"36-35=1",
"87*1=87"
] | Current State: 87:[76, 35, 36, 11], Operations: []
Exploring Operation: 76+11=87, Resulting Numbers: [35, 36, 87]
Generated Node #2: [35, 36, 87] from Operation: 76+11=87
Current State: 87:[35, 36, 87], Operations: ['76+11=87']
Exploring Operation: 36-35=1, Resulting Numbers: [87, 1]
Generated Node #3: [87, 1] from Operation: 36-35=1
Current State: 87:[87, 1], Operations: ['76+11=87', '36-35=1']
Exploring Operation: 87*1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
20,
2,
73,
83
] | 28 | [
"20-2=18",
"83-73=10",
"18+10=28"
] | Current State: 28:[20, 2, 73, 83], Operations: []
Exploring Operation: 20-2=18, Resulting Numbers: [73, 83, 18]
Generated Node #2: [73, 83, 18] from Operation: 20-2=18
Current State: 28:[73, 83, 18], Operations: ['20-2=18']
Exploring Operation: 83-73=10, Resulting Numbers: [18, 10]
Generated Node #3: [18, 10] from Operation: 83-73=10
Current State: 28:[18, 10], Operations: ['20-2=18', '83-73=10']
Exploring Operation: 18+10=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
51,
2,
34,
96
] | 56 | [
"96-51=45",
"2*45=90",
"90-34=56"
] | Current State: 56:[51, 2, 34, 96], Operations: []
Exploring Operation: 96-51=45, Resulting Numbers: [2, 34, 45]
Generated Node #2: [2, 34, 45] from Operation: 96-51=45
Current State: 56:[2, 34, 45], Operations: ['96-51=45']
Exploring Operation: 2*45=90, Resulting Numbers: [34, 90]
Generated Node #3: [34, 90] from Operation: 2*45=90
Current State: 56:[34, 90], Operations: ['96-51=45', '2*45=90']
Exploring Operation: 90-34=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
27,
72,
48,
76
] | 71 | [
"27+72=99",
"76-48=28",
"99-28=71"
] | Current State: 71:[27, 72, 48, 76], Operations: []
Exploring Operation: 27+72=99, Resulting Numbers: [48, 76, 99]
Generated Node #2: [48, 76, 99] from Operation: 27+72=99
Current State: 71:[48, 76, 99], Operations: ['27+72=99']
Exploring Operation: 76-48=28, Resulting Numbers: [99, 28]
Generated Node #3: [99, 28] from Operation: 76-48=28
Current State: 71:[99, 28], Operations: ['27+72=99', '76-48=28']
Exploring Operation: 99-28=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
47,
38,
67,
85
] | 88 | [
"47+67=114",
"114/38=3",
"85+3=88"
] | Current State: 88:[47, 38, 67, 85], Operations: []
Exploring Operation: 47+67=114, Resulting Numbers: [38, 85, 114]
Generated Node #2: [38, 85, 114] from Operation: 47+67=114
Current State: 88:[38, 85, 114], Operations: ['47+67=114']
Exploring Operation: 114/38=3, Resulting Numbers: [85, 3]
Generated Node #3: [85, 3] from Operation: 114/38=3
Current State: 88:[85, 3], Operations: ['47+67=114', '114/38=3']
Exploring Operation: 85+3=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
90,
84,
41,
84
] | 49 | [
"90+84=174",
"41+84=125",
"174-125=49"
] | Current State: 49:[90, 84, 41, 84], Operations: []
Exploring Operation: 90+84=174, Resulting Numbers: [41, 174]
Generated Node #2: [41, 174] from Operation: 90+84=174
Current State: 49:[41, 174], Operations: ['90+84=174']
Exploring Operation: 41+84=125, Resulting Numbers: [174, 125]
Generated Node #3: [174, 125] from Operation: 41+84=125
Current State: 49:[174, 125], Operations: ['90+84=174', '41+84=125']
Exploring Operation: 174-125=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
8,
16,
52,
43
] | 18 | [
"16/8=2",
"52-43=9",
"2*9=18"
] | Current State: 18:[8, 16, 52, 43], Operations: []
Exploring Operation: 16/8=2, Resulting Numbers: [52, 43, 2]
Generated Node #2: [52, 43, 2] from Operation: 16/8=2
Current State: 18:[52, 43, 2], Operations: ['16/8=2']
Exploring Operation: 52-43=9, Resulting Numbers: [2, 9]
Generated Node #3: [2, 9] from Operation: 52-43=9
Current State: 18:[2, 9], Operations: ['16/8=2', '52-43=9']
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
38,
15,
60,
29
] | 66 | [
"38-15=23",
"60+29=89",
"89-23=66"
] | Current State: 66:[38, 15, 60, 29], Operations: []
Exploring Operation: 38-15=23, Resulting Numbers: [60, 29, 23]
Generated Node #2: [60, 29, 23] from Operation: 38-15=23
Current State: 66:[60, 29, 23], Operations: ['38-15=23']
Exploring Operation: 60+29=89, Resulting Numbers: [23, 89]
Generated Node #3: [23, 89] from Operation: 60+29=89
Current State: 66:[23, 89], Operations: ['38-15=23', '60+29=89']
Exploring Operation: 89-23=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
18,
39,
6,
1
] | 63 | [
"18+39=57",
"6*1=6",
"57+6=63"
] | Current State: 63:[18, 39, 6, 1], Operations: []
Exploring Operation: 18+39=57, Resulting Numbers: [6, 1, 57]
Generated Node #2: [6, 1, 57] from Operation: 18+39=57
Current State: 63:[6, 1, 57], Operations: ['18+39=57']
Exploring Operation: 6*1=6, Resulting Numbers: [57, 6]
Generated Node #3: [57, 6] from Operation: 6*1=6
Current State: 63:[57, 6], Operations: ['18+39=57', '6*1=6']
Exploring Operation: 57+6=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
7,
9,
96,
66
] | 78 | [
"7*96=672",
"9*66=594",
"672-594=78"
] | Current State: 78:[7, 9, 96, 66], Operations: []
Exploring Operation: 7*96=672, Resulting Numbers: [9, 66, 672]
Generated Node #2: [9, 66, 672] from Operation: 7*96=672
Current State: 78:[9, 66, 672], Operations: ['7*96=672']
Exploring Operation: 9*66=594, Resulting Numbers: [672, 594]
Generated Node #3: [672, 594] from Operation: 9*66=594
Current State: 78:[672, 594], Operations: ['7*96=672', '9*66=594']
Exploring Operation: 672-594=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
5,
7,
42,
21
] | 17 | [
"5*42=210",
"210/21=10",
"7+10=17"
] | Current State: 17:[5, 7, 42, 21], Operations: []
Exploring Operation: 5*42=210, Resulting Numbers: [7, 21, 210]
Generated Node #2: [7, 21, 210] from Operation: 5*42=210
Current State: 17:[7, 21, 210], Operations: ['5*42=210']
Exploring Operation: 210/21=10, Resulting Numbers: [7, 10]
Generated Node #3: [7, 10] from Operation: 210/21=10
Current State: 17:[7, 10], Operations: ['5*42=210', '210/21=10']
Exploring Operation: 7+10=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
7,
66,
78,
9
] | 81 | [
"7*9=63",
"66+78=144",
"144-63=81"
] | Current State: 81:[7, 66, 78, 9], Operations: []
Exploring Operation: 7*9=63, Resulting Numbers: [66, 78, 63]
Generated Node #2: [66, 78, 63] from Operation: 7*9=63
Current State: 81:[66, 78, 63], Operations: ['7*9=63']
Exploring Operation: 66+78=144, Resulting Numbers: [63, 144]
Generated Node #3: [63, 144] from Operation: 66+78=144
Current State: 81:[63, 144], Operations: ['7*9=63', '66+78=144']
Exploring Operation: 144-63=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
48,
46,
27,
14
] | 15 | [
"48-46=2",
"27-14=13",
"2+13=15"
] | Current State: 15:[48, 46, 27, 14], Operations: []
Exploring Operation: 48-46=2, Resulting Numbers: [27, 14, 2]
Generated Node #2: [27, 14, 2] from Operation: 48-46=2
Current State: 15:[27, 14, 2], Operations: ['48-46=2']
Exploring Operation: 27-14=13, Resulting Numbers: [2, 13]
Generated Node #3: [2, 13] from Operation: 27-14=13
Current State: 15:[2, 13], Operations: ['48-46=2', '27-14=13']
Exploring Operation: 2+13=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
25,
23,
55,
26
] | 79 | [
"25-23=2",
"55+26=81",
"81-2=79"
] | Current State: 79:[25, 23, 55, 26], Operations: []
Exploring Operation: 25-23=2, Resulting Numbers: [55, 26, 2]
Generated Node #2: [55, 26, 2] from Operation: 25-23=2
Current State: 79:[55, 26, 2], Operations: ['25-23=2']
Exploring Operation: 55+26=81, Resulting Numbers: [2, 81]
Generated Node #3: [2, 81] from Operation: 55+26=81
Current State: 79:[2, 81], Operations: ['25-23=2', '55+26=81']
Exploring Operation: 81-2=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
94,
6,
17,
84
] | 97 | [
"94+17=111",
"84/6=14",
"111-14=97"
] | Current State: 97:[94, 6, 17, 84], Operations: []
Exploring Operation: 94+17=111, Resulting Numbers: [6, 84, 111]
Generated Node #2: [6, 84, 111] from Operation: 94+17=111
Current State: 97:[6, 84, 111], Operations: ['94+17=111']
Exploring Operation: 84/6=14, Resulting Numbers: [111, 14]
Generated Node #3: [111, 14] from Operation: 84/6=14
Current State: 97:[111, 14], Operations: ['94+17=111', '84/6=14']
Exploring Operation: 111-14=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
21,
58,
28,
3
] | 83 | [
"58-21=37",
"3*37=111",
"111-28=83"
] | Current State: 83:[21, 58, 28, 3], Operations: []
Exploring Operation: 58-21=37, Resulting Numbers: [28, 3, 37]
Generated Node #2: [28, 3, 37] from Operation: 58-21=37
Current State: 83:[28, 3, 37], Operations: ['58-21=37']
Exploring Operation: 3*37=111, Resulting Numbers: [28, 111]
Generated Node #3: [28, 111] from Operation: 3*37=111
Current State: 83:[28, 111], Operations: ['58-21=37', '3*37=111']
Exploring Operation: 111-28=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
6,
25,
30,
26
] | 76 | [
"25-6=19",
"30-26=4",
"19*4=76"
] | Current State: 76:[6, 25, 30, 26], Operations: []
Exploring Operation: 25-6=19, Resulting Numbers: [30, 26, 19]
Generated Node #2: [30, 26, 19] from Operation: 25-6=19
Current State: 76:[30, 26, 19], Operations: ['25-6=19']
Exploring Operation: 30-26=4, Resulting Numbers: [19, 4]
Generated Node #3: [19, 4] from Operation: 30-26=4
Current State: 76:[19, 4], Operations: ['25-6=19', '30-26=4']
Exploring Operation: 19*4=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
10,
70,
17,
13
] | 15 | [
"70-10=60",
"17-13=4",
"60/4=15"
] | Current State: 15:[10, 70, 17, 13], Operations: []
Exploring Operation: 70-10=60, Resulting Numbers: [17, 13, 60]
Generated Node #2: [17, 13, 60] from Operation: 70-10=60
Current State: 15:[17, 13, 60], Operations: ['70-10=60']
Exploring Operation: 17-13=4, Resulting Numbers: [60, 4]
Generated Node #3: [60, 4] from Operation: 17-13=4
Current State: 15:[60, 4], Operations: ['70-10=60', '17-13=4']
Exploring Operation: 60/4=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
51,
15,
85,
7
] | 31 | [
"51+85=136",
"15*7=105",
"136-105=31"
] | Current State: 31:[51, 15, 85, 7], Operations: []
Exploring Operation: 51+85=136, Resulting Numbers: [15, 7, 136]
Generated Node #2: [15, 7, 136] from Operation: 51+85=136
Current State: 31:[15, 7, 136], Operations: ['51+85=136']
Exploring Operation: 15*7=105, Resulting Numbers: [136, 105]
Generated Node #3: [136, 105] from Operation: 15*7=105
Current State: 31:[136, 105], Operations: ['51+85=136', '15*7=105']
Exploring Operation: 136-105=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
70,
81,
12,
19
] | 71 | [
"19-12=7",
"70/7=10",
"81-10=71"
] | Current State: 71:[70, 81, 12, 19], Operations: []
Exploring Operation: 19-12=7, Resulting Numbers: [70, 81, 7]
Generated Node #2: [70, 81, 7] from Operation: 19-12=7
Current State: 71:[70, 81, 7], Operations: ['19-12=7']
Exploring Operation: 70/7=10, Resulting Numbers: [81, 10]
Generated Node #3: [81, 10] from Operation: 70/7=10
Current State: 71:[81, 10], Operations: ['19-12=7', '70/7=10']
Exploring Operation: 81-10=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
27,
37,
96,
8
] | 12 | [
"27+37=64",
"96*8=768",
"768/64=12"
] | Current State: 12:[27, 37, 96, 8], Operations: []
Exploring Operation: 27+37=64, Resulting Numbers: [96, 8, 64]
Generated Node #2: [96, 8, 64] from Operation: 27+37=64
Current State: 12:[96, 8, 64], Operations: ['27+37=64']
Exploring Operation: 96*8=768, Resulting Numbers: [64, 768]
Generated Node #3: [64, 768] from Operation: 96*8=768
Current State: 12:[64, 768], Operations: ['27+37=64', '96*8=768']
Exploring Operation: 768/64=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
25,
83,
35,
42
] | 40 | [
"83+42=125",
"125/25=5",
"35+5=40"
] | Current State: 40:[25, 83, 35, 42], Operations: []
Exploring Operation: 83+42=125, Resulting Numbers: [25, 35, 125]
Generated Node #2: [25, 35, 125] from Operation: 83+42=125
Current State: 40:[25, 35, 125], Operations: ['83+42=125']
Exploring Operation: 125/25=5, Resulting Numbers: [35, 5]
Generated Node #3: [35, 5] from Operation: 125/25=5
Current State: 40:[35, 5], Operations: ['83+42=125', '125/25=5']
Exploring Operation: 35+5=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
75,
5,
2,
95
] | 45 | [
"75-5=70",
"2*70=140",
"140-95=45"
] | Current State: 45:[75, 5, 2, 95], Operations: []
Exploring Operation: 75-5=70, Resulting Numbers: [2, 95, 70]
Generated Node #2: [2, 95, 70] from Operation: 75-5=70
Current State: 45:[2, 95, 70], Operations: ['75-5=70']
Exploring Operation: 2*70=140, Resulting Numbers: [95, 140]
Generated Node #3: [95, 140] from Operation: 2*70=140
Current State: 45:[95, 140], Operations: ['75-5=70', '2*70=140']
Exploring Operation: 140-95=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
48,
7,
1,
12
] | 52 | [
"48-7=41",
"12-1=11",
"41+11=52"
] | Current State: 52:[48, 7, 1, 12], Operations: []
Exploring Operation: 48-7=41, Resulting Numbers: [1, 12, 41]
Generated Node #2: [1, 12, 41] from Operation: 48-7=41
Current State: 52:[1, 12, 41], Operations: ['48-7=41']
Exploring Operation: 12-1=11, Resulting Numbers: [41, 11]
Generated Node #3: [41, 11] from Operation: 12-1=11
Current State: 52:[41, 11], Operations: ['48-7=41', '12-1=11']
Exploring Operation: 41+11=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
81,
29,
77,
6
] | 74 | [
"81+6=87",
"87/29=3",
"77-3=74"
] | Current State: 74:[81, 29, 77, 6], Operations: []
Exploring Operation: 81+6=87, Resulting Numbers: [29, 77, 87]
Generated Node #2: [29, 77, 87] from Operation: 81+6=87
Current State: 74:[29, 77, 87], Operations: ['81+6=87']
Exploring Operation: 87/29=3, Resulting Numbers: [77, 3]
Generated Node #3: [77, 3] from Operation: 87/29=3
Current State: 74:[77, 3], Operations: ['81+6=87', '87/29=3']
Exploring Operation: 77-3=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
12,
17,
4,
32
] | 23 | [
"17-12=5",
"32-4=28",
"28-5=23"
] | Current State: 23:[12, 17, 4, 32], Operations: []
Exploring Operation: 17-12=5, Resulting Numbers: [4, 32, 5]
Generated Node #2: [4, 32, 5] from Operation: 17-12=5
Current State: 23:[4, 32, 5], Operations: ['17-12=5']
Exploring Operation: 32-4=28, Resulting Numbers: [5, 28]
Generated Node #3: [5, 28] from Operation: 32-4=28
Current State: 23:[5, 28], Operations: ['17-12=5', '32-4=28']
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
72,
19,
8,
21
] | 78 | [
"72+19=91",
"21-8=13",
"91-13=78"
] | Current State: 78:[72, 19, 8, 21], Operations: []
Exploring Operation: 72+19=91, Resulting Numbers: [8, 21, 91]
Generated Node #2: [8, 21, 91] from Operation: 72+19=91
Current State: 78:[8, 21, 91], Operations: ['72+19=91']
Exploring Operation: 21-8=13, Resulting Numbers: [91, 13]
Generated Node #3: [91, 13] from Operation: 21-8=13
Current State: 78:[91, 13], Operations: ['72+19=91', '21-8=13']
Exploring Operation: 91-13=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
91,
24,
58,
36
] | 72 | [
"91-58=33",
"36-33=3",
"24*3=72"
] | Current State: 72:[91, 24, 58, 36], Operations: []
Exploring Operation: 91-58=33, Resulting Numbers: [24, 36, 33]
Generated Node #2: [24, 36, 33] from Operation: 91-58=33
Current State: 72:[24, 36, 33], Operations: ['91-58=33']
Exploring Operation: 36-33=3, Resulting Numbers: [24, 3]
Generated Node #3: [24, 3] from Operation: 36-33=3
Current State: 72:[24, 3], Operations: ['91-58=33', '36-33=3']
Exploring Operation: 24*3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
50,
89,
65,
65
] | 38 | [
"89-50=39",
"65/65=1",
"39-1=38"
] | Current State: 38:[50, 89, 65, 65], Operations: []
Exploring Operation: 89-50=39, Resulting Numbers: [65, 65, 39]
Generated Node #2: [65, 65, 39] from Operation: 89-50=39
Current State: 38:[65, 65, 39], Operations: ['89-50=39']
Exploring Operation: 65/65=1, Resulting Numbers: [39, 1]
Generated Node #3: [39, 1] from Operation: 65/65=1
Current State: 38:[39, 1], Operations: ['89-50=39', '65/65=1']
Exploring Operation: 39-1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
5,
35,
56,
30
] | 43 | [
"35+30=65",
"65/5=13",
"56-13=43"
] | Current State: 43:[5, 35, 56, 30], Operations: []
Exploring Operation: 35+30=65, Resulting Numbers: [5, 56, 65]
Generated Node #2: [5, 56, 65] from Operation: 35+30=65
Current State: 43:[5, 56, 65], Operations: ['35+30=65']
Exploring Operation: 65/5=13, Resulting Numbers: [56, 13]
Generated Node #3: [56, 13] from Operation: 65/5=13
Current State: 43:[56, 13], Operations: ['35+30=65', '65/5=13']
Exploring Operation: 56-13=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
98,
25,
53,
2
] | 33 | [
"98-25=73",
"53*2=106",
"106-73=33"
] | Current State: 33:[98, 25, 53, 2], Operations: []
Exploring Operation: 98-25=73, Resulting Numbers: [53, 2, 73]
Generated Node #2: [53, 2, 73] from Operation: 98-25=73
Current State: 33:[53, 2, 73], Operations: ['98-25=73']
Exploring Operation: 53*2=106, Resulting Numbers: [73, 106]
Generated Node #3: [73, 106] from Operation: 53*2=106
Current State: 33:[73, 106], Operations: ['98-25=73', '53*2=106']
Exploring Operation: 106-73=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
64,
74,
71,
20
] | 66 | [
"71-64=7",
"20*7=140",
"140-74=66"
] | Current State: 66:[64, 74, 71, 20], Operations: []
Exploring Operation: 71-64=7, Resulting Numbers: [74, 20, 7]
Generated Node #2: [74, 20, 7] from Operation: 71-64=7
Current State: 66:[74, 20, 7], Operations: ['71-64=7']
Exploring Operation: 20*7=140, Resulting Numbers: [74, 140]
Generated Node #3: [74, 140] from Operation: 20*7=140
Current State: 66:[74, 140], Operations: ['71-64=7', '20*7=140']
Exploring Operation: 140-74=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
10,
96,
94,
2
] | 44 | [
"10+94=104",
"104/2=52",
"96-52=44"
] | Current State: 44:[10, 96, 94, 2], Operations: []
Exploring Operation: 10+94=104, Resulting Numbers: [96, 2, 104]
Generated Node #2: [96, 2, 104] from Operation: 10+94=104
Current State: 44:[96, 2, 104], Operations: ['10+94=104']
Exploring Operation: 104/2=52, Resulting Numbers: [96, 52]
Generated Node #3: [96, 52] from Operation: 104/2=52
Current State: 44:[96, 52], Operations: ['10+94=104', '104/2=52']
Exploring Operation: 96-52=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
88,
47,
38,
73
] | 70 | [
"88-47=41",
"38+73=111",
"111-41=70"
] | Current State: 70:[88, 47, 38, 73], Operations: []
Exploring Operation: 88-47=41, Resulting Numbers: [38, 73, 41]
Generated Node #2: [38, 73, 41] from Operation: 88-47=41
Current State: 70:[38, 73, 41], Operations: ['88-47=41']
Exploring Operation: 38+73=111, Resulting Numbers: [41, 111]
Generated Node #3: [41, 111] from Operation: 38+73=111
Current State: 70:[41, 111], Operations: ['88-47=41', '38+73=111']
Exploring Operation: 111-41=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
41,
34,
45,
62
] | 74 | [
"45-41=4",
"34*4=136",
"136-62=74"
] | Current State: 74:[41, 34, 45, 62], Operations: []
Exploring Operation: 45-41=4, Resulting Numbers: [34, 62, 4]
Generated Node #2: [34, 62, 4] from Operation: 45-41=4
Current State: 74:[34, 62, 4], Operations: ['45-41=4']
Exploring Operation: 34*4=136, Resulting Numbers: [62, 136]
Generated Node #3: [62, 136] from Operation: 34*4=136
Current State: 74:[62, 136], Operations: ['45-41=4', '34*4=136']
Exploring Operation: 136-62=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
2,
58,
40,
14
] | 48 | [
"58-14=44",
"2*44=88",
"88-40=48"
] | Current State: 48:[2, 58, 40, 14], Operations: []
Exploring Operation: 58-14=44, Resulting Numbers: [2, 40, 44]
Generated Node #2: [2, 40, 44] from Operation: 58-14=44
Current State: 48:[2, 40, 44], Operations: ['58-14=44']
Exploring Operation: 2*44=88, Resulting Numbers: [40, 88]
Generated Node #3: [40, 88] from Operation: 2*44=88
Current State: 48:[40, 88], Operations: ['58-14=44', '2*44=88']
Exploring Operation: 88-40=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
33,
44,
13,
47
] | 96 | [
"44-33=11",
"13*11=143",
"143-47=96"
] | Current State: 96:[33, 44, 13, 47], Operations: []
Exploring Operation: 44-33=11, Resulting Numbers: [13, 47, 11]
Generated Node #2: [13, 47, 11] from Operation: 44-33=11
Current State: 96:[13, 47, 11], Operations: ['44-33=11']
Exploring Operation: 13*11=143, Resulting Numbers: [47, 143]
Generated Node #3: [47, 143] from Operation: 13*11=143
Current State: 96:[47, 143], Operations: ['44-33=11', '13*11=143']
Exploring Operation: 143-47=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
9,
46,
41,
40
] | 37 | [
"46-9=37",
"41-40=1",
"37*1=37"
] | Current State: 37:[9, 46, 41, 40], Operations: []
Exploring Operation: 46-9=37, Resulting Numbers: [41, 40, 37]
Generated Node #2: [41, 40, 37] from Operation: 46-9=37
Current State: 37:[41, 40, 37], Operations: ['46-9=37']
Exploring Operation: 41-40=1, Resulting Numbers: [37, 1]
Generated Node #3: [37, 1] from Operation: 41-40=1
Current State: 37:[37, 1], Operations: ['46-9=37', '41-40=1']
Exploring Operation: 37*1=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
35,
24,
77,
3
] | 34 | [
"77-35=42",
"24/3=8",
"42-8=34"
] | Current State: 34:[35, 24, 77, 3], Operations: []
Exploring Operation: 77-35=42, Resulting Numbers: [24, 3, 42]
Generated Node #2: [24, 3, 42] from Operation: 77-35=42
Current State: 34:[24, 3, 42], Operations: ['77-35=42']
Exploring Operation: 24/3=8, Resulting Numbers: [42, 8]
Generated Node #3: [42, 8] from Operation: 24/3=8
Current State: 34:[42, 8], Operations: ['77-35=42', '24/3=8']
Exploring Operation: 42-8=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
38,
5,
64,
90
] | 84 | [
"38+64=102",
"90/5=18",
"102-18=84"
] | Current State: 84:[38, 5, 64, 90], Operations: []
Exploring Operation: 38+64=102, Resulting Numbers: [5, 90, 102]
Generated Node #2: [5, 90, 102] from Operation: 38+64=102
Current State: 84:[5, 90, 102], Operations: ['38+64=102']
Exploring Operation: 90/5=18, Resulting Numbers: [102, 18]
Generated Node #3: [102, 18] from Operation: 90/5=18
Current State: 84:[102, 18], Operations: ['38+64=102', '90/5=18']
Exploring Operation: 102-18=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
8,
23,
15,
59
] | 13 | [
"8+23=31",
"59-15=44",
"44-31=13"
] | Current State: 13:[8, 23, 15, 59], Operations: []
Exploring Operation: 8+23=31, Resulting Numbers: [15, 59, 31]
Generated Node #2: [15, 59, 31] from Operation: 8+23=31
Current State: 13:[15, 59, 31], Operations: ['8+23=31']
Exploring Operation: 59-15=44, Resulting Numbers: [31, 44]
Generated Node #3: [31, 44] from Operation: 59-15=44
Current State: 13:[31, 44], Operations: ['8+23=31', '59-15=44']
Exploring Operation: 44-31=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
22,
65,
21,
54
] | 76 | [
"65-22=43",
"54-21=33",
"43+33=76"
] | Current State: 76:[22, 65, 21, 54], Operations: []
Exploring Operation: 65-22=43, Resulting Numbers: [21, 54, 43]
Generated Node #2: [21, 54, 43] from Operation: 65-22=43
Current State: 76:[21, 54, 43], Operations: ['65-22=43']
Exploring Operation: 54-21=33, Resulting Numbers: [43, 33]
Generated Node #3: [43, 33] from Operation: 54-21=33
Current State: 76:[43, 33], Operations: ['65-22=43', '54-21=33']
Exploring Operation: 43+33=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
5,
77,
22,
16
] | 12 | [
"77-5=72",
"22-16=6",
"72/6=12"
] | Current State: 12:[5, 77, 22, 16], Operations: []
Exploring Operation: 77-5=72, Resulting Numbers: [22, 16, 72]
Generated Node #2: [22, 16, 72] from Operation: 77-5=72
Current State: 12:[22, 16, 72], Operations: ['77-5=72']
Exploring Operation: 22-16=6, Resulting Numbers: [72, 6]
Generated Node #3: [72, 6] from Operation: 22-16=6
Current State: 12:[72, 6], Operations: ['77-5=72', '22-16=6']
Exploring Operation: 72/6=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
58,
43,
50,
1
] | 51 | [
"58+43=101",
"50*1=50",
"101-50=51"
] | Current State: 51:[58, 43, 50, 1], Operations: []
Exploring Operation: 58+43=101, Resulting Numbers: [50, 1, 101]
Generated Node #2: [50, 1, 101] from Operation: 58+43=101
Current State: 51:[50, 1, 101], Operations: ['58+43=101']
Exploring Operation: 50*1=50, Resulting Numbers: [101, 50]
Generated Node #3: [101, 50] from Operation: 50*1=50
Current State: 51:[101, 50], Operations: ['58+43=101', '50*1=50']
Exploring Operation: 101-50=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
15,
70,
27,
85
] | 51 | [
"15+27=42",
"85*42=3570",
"3570/70=51"
] | Current State: 51:[15, 70, 27, 85], Operations: []
Exploring Operation: 15+27=42, Resulting Numbers: [70, 85, 42]
Generated Node #2: [70, 85, 42] from Operation: 15+27=42
Current State: 51:[70, 85, 42], Operations: ['15+27=42']
Exploring Operation: 85*42=3570, Resulting Numbers: [70, 3570]
Generated Node #3: [70, 3570] from Operation: 85*42=3570
Current State: 51:[70, 3570], Operations: ['15+27=42', '85*42=3570']
Exploring Operation: 3570/70=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
82,
14,
11,
32
] | 40 | [
"82+32=114",
"14*11=154",
"154-114=40"
] | Current State: 40:[82, 14, 11, 32], Operations: []
Exploring Operation: 82+32=114, Resulting Numbers: [14, 11, 114]
Generated Node #2: [14, 11, 114] from Operation: 82+32=114
Current State: 40:[14, 11, 114], Operations: ['82+32=114']
Exploring Operation: 14*11=154, Resulting Numbers: [114, 154]
Generated Node #3: [114, 154] from Operation: 14*11=154
Current State: 40:[114, 154], Operations: ['82+32=114', '14*11=154']
Exploring Operation: 154-114=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
89,
79,
20,
51
] | 81 | [
"89-79=10",
"20+51=71",
"10+71=81"
] | Current State: 81:[89, 79, 20, 51], Operations: []
Exploring Operation: 89-79=10, Resulting Numbers: [20, 51, 10]
Generated Node #2: [20, 51, 10] from Operation: 89-79=10
Current State: 81:[20, 51, 10], Operations: ['89-79=10']
Exploring Operation: 20+51=71, Resulting Numbers: [10, 71]
Generated Node #3: [10, 71] from Operation: 20+51=71
Current State: 81:[10, 71], Operations: ['89-79=10', '20+51=71']
Exploring Operation: 10+71=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
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