nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
55,
50,
81,
25
] | 24 | [
"81-55=26",
"50/25=2",
"26-2=24"
] | Current State: 24:[55, 50, 81, 25], Operations: []
Exploring Operation: 81-55=26, Resulting Numbers: [50, 25, 26]
Generated Node #2: [50, 25, 26] from Operation: 81-55=26
Current State: 24:[50, 25, 26], Operations: ['81-55=26']
Exploring Operation: 50/25=2, Resulting Numbers: [26, 2]
Generated Node #3: [26, 2] from Operation: 50/25=2
Current State: 24:[26, 2], Operations: ['81-55=26', '50/25=2']
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
98,
43,
20,
6
] | 65 | [
"98-43=55",
"20*6=120",
"120-55=65"
] | Current State: 65:[98, 43, 20, 6], Operations: []
Exploring Operation: 98-43=55, Resulting Numbers: [20, 6, 55]
Generated Node #2: [20, 6, 55] from Operation: 98-43=55
Current State: 65:[20, 6, 55], Operations: ['98-43=55']
Exploring Operation: 20*6=120, Resulting Numbers: [55, 120]
Generated Node #3: [55, 120] from Operation: 20*6=120
Current State: 65:[55, 120], Operations: ['98-43=55', '20*6=120']
Exploring Operation: 120-55=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
99,
9,
81,
19
] | 28 | [
"99-9=90",
"81-19=62",
"90-62=28"
] | Current State: 28:[99, 9, 81, 19], Operations: []
Exploring Operation: 99-9=90, Resulting Numbers: [81, 19, 90]
Generated Node #2: [81, 19, 90] from Operation: 99-9=90
Current State: 28:[81, 19, 90], Operations: ['99-9=90']
Exploring Operation: 81-19=62, Resulting Numbers: [90, 62]
Generated Node #3: [90, 62] from Operation: 81-19=62
Current State: 28:[90, 62], Operations: ['99-9=90', '81-19=62']
Exploring Operation: 90-62=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
38,
48,
2,
40
] | 94 | [
"40-38=2",
"48*2=96",
"96-2=94"
] | Current State: 94:[38, 48, 2, 40], Operations: []
Exploring Operation: 40-38=2, Resulting Numbers: [48, 2, 2]
Generated Node #2: [48, 2, 2] from Operation: 40-38=2
Current State: 94:[48, 2, 2], Operations: ['40-38=2']
Exploring Operation: 48*2=96, Resulting Numbers: [96]
96,94 equal: Goal Reached
Exploring Operation: 96-2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
96,
57,
9,
82
] | 65 | [
"96+57=153",
"153/9=17",
"82-17=65"
] | Current State: 65:[96, 57, 9, 82], Operations: []
Exploring Operation: 96+57=153, Resulting Numbers: [9, 82, 153]
Generated Node #2: [9, 82, 153] from Operation: 96+57=153
Current State: 65:[9, 82, 153], Operations: ['96+57=153']
Exploring Operation: 153/9=17, Resulting Numbers: [82, 17]
Generated Node #3: [82, 17] from Operation: 153/9=17
Current State: 65:[82, 17], Operations: ['96+57=153', '153/9=17']
Exploring Operation: 82-17=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
98,
83,
34,
33
] | 87 | [
"98+34=132",
"132/33=4",
"83+4=87"
] | Current State: 87:[98, 83, 34, 33], Operations: []
Exploring Operation: 98+34=132, Resulting Numbers: [83, 33, 132]
Generated Node #2: [83, 33, 132] from Operation: 98+34=132
Current State: 87:[83, 33, 132], Operations: ['98+34=132']
Exploring Operation: 132/33=4, Resulting Numbers: [83, 4]
Generated Node #3: [83, 4] from Operation: 132/33=4
Current State: 87:[83, 4], Operations: ['98+34=132', '132/33=4']
Exploring Operation: 83+4=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
70,
75,
16,
98
] | 31 | [
"70+75=145",
"16+98=114",
"145-114=31"
] | Current State: 31:[70, 75, 16, 98], Operations: []
Exploring Operation: 70+75=145, Resulting Numbers: [16, 98, 145]
Generated Node #2: [16, 98, 145] from Operation: 70+75=145
Current State: 31:[16, 98, 145], Operations: ['70+75=145']
Exploring Operation: 16+98=114, Resulting Numbers: [145, 114]
Generated Node #3: [145, 114] from Operation: 16+98=114
Current State: 31:[145, 114], Operations: ['70+75=145', '16+98=114']
Exploring Operation: 145-114=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
40,
59,
3,
78
] | 59 | [
"40+59=99",
"78+99=177",
"177/3=59"
] | Current State: 59:[40, 59, 3, 78], Operations: []
Exploring Operation: 40+59=99, Resulting Numbers: [3, 78, 99]
Generated Node #2: [3, 78, 99] from Operation: 40+59=99
Current State: 59:[3, 78, 99], Operations: ['40+59=99']
Exploring Operation: 78+99=177, Resulting Numbers: [3, 177]
Generated Node #3: [3, 177] from Operation: 78+99=177
Current State: 59:[3, 177], Operations: ['40+59=99', '78+99=177']
Exploring Operation: 177/3=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
13,
26,
17,
68
] | 35 | [
"13+26=39",
"68/17=4",
"39-4=35"
] | Current State: 35:[13, 26, 17, 68], Operations: []
Exploring Operation: 13+26=39, Resulting Numbers: [17, 68, 39]
Generated Node #2: [17, 68, 39] from Operation: 13+26=39
Current State: 35:[17, 68, 39], Operations: ['13+26=39']
Exploring Operation: 68/17=4, Resulting Numbers: [39, 4]
Generated Node #3: [39, 4] from Operation: 68/17=4
Current State: 35:[39, 4], Operations: ['13+26=39', '68/17=4']
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
85,
36,
98,
52
] | 40 | [
"98-85=13",
"52/13=4",
"36+4=40"
] | Current State: 40:[85, 36, 98, 52], Operations: []
Exploring Operation: 98-85=13, Resulting Numbers: [36, 52, 13]
Generated Node #2: [36, 52, 13] from Operation: 98-85=13
Current State: 40:[36, 52, 13], Operations: ['98-85=13']
Exploring Operation: 52/13=4, Resulting Numbers: [36, 4]
Generated Node #3: [36, 4] from Operation: 52/13=4
Current State: 40:[36, 4], Operations: ['98-85=13', '52/13=4']
Exploring Operation: 36+4=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
20,
69,
20,
46
] | 46 | [
"20-20=0",
"69*0=0",
"46+0=46"
] | Current State: 46:[20, 69, 20, 46], Operations: []
Exploring Operation: 20-20=0, Resulting Numbers: [69, 46, 0]
Generated Node #2: [69, 46, 0] from Operation: 20-20=0
Current State: 46:[69, 46, 0], Operations: ['20-20=0']
Exploring Operation: 69*0=0, Resulting Numbers: [46, 0]
Generated Node #3: [46, 0] from Operation: 69*0=0
Current State: 46:[46, 0], Operations: ['20-20=0', '69*0=0']
Exploring Operation: 46+0=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
29,
38,
30,
28
] | 32 | [
"38-28=10",
"30/10=3",
"29+3=32"
] | Current State: 32:[29, 38, 30, 28], Operations: []
Exploring Operation: 38-28=10, Resulting Numbers: [29, 30, 10]
Generated Node #2: [29, 30, 10] from Operation: 38-28=10
Current State: 32:[29, 30, 10], Operations: ['38-28=10']
Exploring Operation: 30/10=3, Resulting Numbers: [29, 3]
Generated Node #3: [29, 3] from Operation: 30/10=3
Current State: 32:[29, 3], Operations: ['38-28=10', '30/10=3']
Exploring Operation: 29+3=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
85,
94,
38,
25
] | 50 | [
"85-38=47",
"94*25=2350",
"2350/47=50"
] | Current State: 50:[85, 94, 38, 25], Operations: []
Exploring Operation: 85-38=47, Resulting Numbers: [94, 25, 47]
Generated Node #2: [94, 25, 47] from Operation: 85-38=47
Current State: 50:[94, 25, 47], Operations: ['85-38=47']
Exploring Operation: 94*25=2350, Resulting Numbers: [47, 2350]
Generated Node #3: [47, 2350] from Operation: 94*25=2350
Current State: 50:[47, 2350], Operations: ['85-38=47', '94*25=2350']
Exploring Operation: 2350/47=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
48,
64,
64,
72
] | 14 | [
"48+64=112",
"72-64=8",
"112/8=14"
] | Current State: 14:[48, 64, 64, 72], Operations: []
Exploring Operation: 48+64=112, Resulting Numbers: [72, 112]
Generated Node #2: [72, 112] from Operation: 48+64=112
Current State: 14:[72, 112], Operations: ['48+64=112']
Exploring Operation: 72-64=8, Resulting Numbers: [112, 8]
Generated Node #3: [112, 8] from Operation: 72-64=8
Current State: 14:[112, 8], Operations: ['48+64=112', '72-64=8']
Exploring Operation: 112/8=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
31,
63,
40,
4
] | 61 | [
"63-40=23",
"4*23=92",
"92-31=61"
] | Current State: 61:[31, 63, 40, 4], Operations: []
Exploring Operation: 63-40=23, Resulting Numbers: [31, 4, 23]
Generated Node #2: [31, 4, 23] from Operation: 63-40=23
Current State: 61:[31, 4, 23], Operations: ['63-40=23']
Exploring Operation: 4*23=92, Resulting Numbers: [31, 92]
Generated Node #3: [31, 92] from Operation: 4*23=92
Current State: 61:[31, 92], Operations: ['63-40=23', '4*23=92']
Exploring Operation: 92-31=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
57,
36,
69,
30
] | 72 | [
"69-57=12",
"36-30=6",
"12*6=72"
] | Current State: 72:[57, 36, 69, 30], Operations: []
Exploring Operation: 69-57=12, Resulting Numbers: [36, 30, 12]
Generated Node #2: [36, 30, 12] from Operation: 69-57=12
Current State: 72:[36, 30, 12], Operations: ['69-57=12']
Exploring Operation: 36-30=6, Resulting Numbers: [12, 6]
Generated Node #3: [12, 6] from Operation: 36-30=6
Current State: 72:[12, 6], Operations: ['69-57=12', '36-30=6']
Exploring Operation: 12*6=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
47,
46,
14,
42
] | 37 | [
"47+46=93",
"14+42=56",
"93-56=37"
] | Current State: 37:[47, 46, 14, 42], Operations: []
Exploring Operation: 47+46=93, Resulting Numbers: [14, 42, 93]
Generated Node #2: [14, 42, 93] from Operation: 47+46=93
Current State: 37:[14, 42, 93], Operations: ['47+46=93']
Exploring Operation: 14+42=56, Resulting Numbers: [93, 56]
Generated Node #3: [93, 56] from Operation: 14+42=56
Current State: 37:[93, 56], Operations: ['47+46=93', '14+42=56']
Exploring Operation: 93-56=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
75,
78,
43,
31
] | 78 | [
"75-43=32",
"32-31=1",
"78*1=78"
] | Current State: 78:[75, 78, 43, 31], Operations: []
Exploring Operation: 75-43=32, Resulting Numbers: [78, 31, 32]
Generated Node #2: [78, 31, 32] from Operation: 75-43=32
Current State: 78:[78, 31, 32], Operations: ['75-43=32']
Exploring Operation: 32-31=1, Resulting Numbers: [78, 1]
Generated Node #3: [78, 1] from Operation: 32-31=1
Current State: 78:[78, 1], Operations: ['75-43=32', '32-31=1']
Exploring Operation: 78*1=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
98,
10,
35,
14
] | 39 | [
"98-10=88",
"35+14=49",
"88-49=39"
] | Current State: 39:[98, 10, 35, 14], Operations: []
Exploring Operation: 98-10=88, Resulting Numbers: [35, 14, 88]
Generated Node #2: [35, 14, 88] from Operation: 98-10=88
Current State: 39:[35, 14, 88], Operations: ['98-10=88']
Exploring Operation: 35+14=49, Resulting Numbers: [88, 49]
Generated Node #3: [88, 49] from Operation: 35+14=49
Current State: 39:[88, 49], Operations: ['98-10=88', '35+14=49']
Exploring Operation: 88-49=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
92,
53,
29,
97
] | 30 | [
"29*97=2813",
"2813-53=2760",
"2760/92=30"
] | Current State: 30:[92, 53, 29, 97], Operations: []
Exploring Operation: 29*97=2813, Resulting Numbers: [92, 53, 2813]
Generated Node #2: [92, 53, 2813] from Operation: 29*97=2813
Current State: 30:[92, 53, 2813], Operations: ['29*97=2813']
Exploring Operation: 2813-53=2760, Resulting Numbers: [92, 2760]
Generated Node #3: [92, 2760] from Operation: 2813-53=2760
Current State: 30:[92, 2760], Operations: ['29*97=2813', '2813-53=2760']
Exploring Operation: 2760/92=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
51,
65,
56,
51
] | 65 | [
"51-51=0",
"56*0=0",
"65+0=65"
] | Current State: 65:[51, 65, 56, 51], Operations: []
Exploring Operation: 51-51=0, Resulting Numbers: [65, 56, 0]
Generated Node #2: [65, 56, 0] from Operation: 51-51=0
Current State: 65:[65, 56, 0], Operations: ['51-51=0']
Exploring Operation: 56*0=0, Resulting Numbers: [65, 0]
Generated Node #3: [65, 0] from Operation: 56*0=0
Current State: 65:[65, 0], Operations: ['51-51=0', '56*0=0']
Exploring Operation: 65+0=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
58,
92,
29,
14
] | 49 | [
"92-58=34",
"29-14=15",
"34+15=49"
] | Current State: 49:[58, 92, 29, 14], Operations: []
Exploring Operation: 92-58=34, Resulting Numbers: [29, 14, 34]
Generated Node #2: [29, 14, 34] from Operation: 92-58=34
Current State: 49:[29, 14, 34], Operations: ['92-58=34']
Exploring Operation: 29-14=15, Resulting Numbers: [34, 15]
Generated Node #3: [34, 15] from Operation: 29-14=15
Current State: 49:[34, 15], Operations: ['92-58=34', '29-14=15']
Exploring Operation: 34+15=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
42,
14,
88,
1
] | 59 | [
"42-14=28",
"88-1=87",
"87-28=59"
] | Current State: 59:[42, 14, 88, 1], Operations: []
Exploring Operation: 42-14=28, Resulting Numbers: [88, 1, 28]
Generated Node #2: [88, 1, 28] from Operation: 42-14=28
Current State: 59:[88, 1, 28], Operations: ['42-14=28']
Exploring Operation: 88-1=87, Resulting Numbers: [28, 87]
Generated Node #3: [28, 87] from Operation: 88-1=87
Current State: 59:[28, 87], Operations: ['42-14=28', '88-1=87']
Exploring Operation: 87-28=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
52,
50,
50,
27
] | 21 | [
"52-50=2",
"50-27=23",
"23-2=21"
] | Current State: 21:[52, 50, 50, 27], Operations: []
Exploring Operation: 52-50=2, Resulting Numbers: [27, 2]
Generated Node #2: [27, 2] from Operation: 52-50=2
Current State: 21:[27, 2], Operations: ['52-50=2']
Exploring Operation: 50-27=23, Resulting Numbers: [2, 23]
Generated Node #3: [2, 23] from Operation: 50-27=23
Current State: 21:[2, 23], Operations: ['52-50=2', '50-27=23']
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
38,
50,
50,
60
] | 78 | [
"38+50=88",
"60-50=10",
"88-10=78"
] | Current State: 78:[38, 50, 50, 60], Operations: []
Exploring Operation: 38+50=88, Resulting Numbers: [60, 88]
Generated Node #2: [60, 88] from Operation: 38+50=88
Current State: 78:[60, 88], Operations: ['38+50=88']
Exploring Operation: 60-50=10, Resulting Numbers: [88, 10]
Generated Node #3: [88, 10] from Operation: 60-50=10
Current State: 78:[88, 10], Operations: ['38+50=88', '60-50=10']
Exploring Operation: 88-10=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
99,
60,
86,
83
] | 79 | [
"86-83=3",
"60/3=20",
"99-20=79"
] | Current State: 79:[99, 60, 86, 83], Operations: []
Exploring Operation: 86-83=3, Resulting Numbers: [99, 60, 3]
Generated Node #2: [99, 60, 3] from Operation: 86-83=3
Current State: 79:[99, 60, 3], Operations: ['86-83=3']
Exploring Operation: 60/3=20, Resulting Numbers: [99, 20]
Generated Node #3: [99, 20] from Operation: 60/3=20
Current State: 79:[99, 20], Operations: ['86-83=3', '60/3=20']
Exploring Operation: 99-20=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
77,
16,
28,
33
] | 88 | [
"77+16=93",
"33-28=5",
"93-5=88"
] | Current State: 88:[77, 16, 28, 33], Operations: []
Exploring Operation: 77+16=93, Resulting Numbers: [28, 33, 93]
Generated Node #2: [28, 33, 93] from Operation: 77+16=93
Current State: 88:[28, 33, 93], Operations: ['77+16=93']
Exploring Operation: 33-28=5, Resulting Numbers: [93, 5]
Generated Node #3: [93, 5] from Operation: 33-28=5
Current State: 88:[93, 5], Operations: ['77+16=93', '33-28=5']
Exploring Operation: 93-5=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
2,
28,
72,
22
] | 84 | [
"2+22=24",
"28*72=2016",
"2016/24=84"
] | Current State: 84:[2, 28, 72, 22], Operations: []
Exploring Operation: 2+22=24, Resulting Numbers: [28, 72, 24]
Generated Node #2: [28, 72, 24] from Operation: 2+22=24
Current State: 84:[28, 72, 24], Operations: ['2+22=24']
Exploring Operation: 28*72=2016, Resulting Numbers: [24, 2016]
Generated Node #3: [24, 2016] from Operation: 28*72=2016
Current State: 84:[24, 2016], Operations: ['2+22=24', '28*72=2016']
Exploring Operation: 2016/24=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
62,
25,
56,
7
] | 26 | [
"62-25=37",
"56+7=63",
"63-37=26"
] | Current State: 26:[62, 25, 56, 7], Operations: []
Exploring Operation: 62-25=37, Resulting Numbers: [56, 7, 37]
Generated Node #2: [56, 7, 37] from Operation: 62-25=37
Current State: 26:[56, 7, 37], Operations: ['62-25=37']
Exploring Operation: 56+7=63, Resulting Numbers: [37, 63]
Generated Node #3: [37, 63] from Operation: 56+7=63
Current State: 26:[37, 63], Operations: ['62-25=37', '56+7=63']
Exploring Operation: 63-37=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
72,
68,
74,
2
] | 35 | [
"72-68=4",
"74-4=70",
"70/2=35"
] | Current State: 35:[72, 68, 74, 2], Operations: []
Exploring Operation: 72-68=4, Resulting Numbers: [74, 2, 4]
Generated Node #2: [74, 2, 4] from Operation: 72-68=4
Current State: 35:[74, 2, 4], Operations: ['72-68=4']
Exploring Operation: 74-4=70, Resulting Numbers: [2, 70]
Generated Node #3: [2, 70] from Operation: 74-4=70
Current State: 35:[2, 70], Operations: ['72-68=4', '74-4=70']
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
50,
42,
4,
29
] | 52 | [
"50+42=92",
"92/4=23",
"29+23=52"
] | Current State: 52:[50, 42, 4, 29], Operations: []
Exploring Operation: 50+42=92, Resulting Numbers: [4, 29, 92]
Generated Node #2: [4, 29, 92] from Operation: 50+42=92
Current State: 52:[4, 29, 92], Operations: ['50+42=92']
Exploring Operation: 92/4=23, Resulting Numbers: [29, 23]
Generated Node #3: [29, 23] from Operation: 92/4=23
Current State: 52:[29, 23], Operations: ['50+42=92', '92/4=23']
Exploring Operation: 29+23=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
2,
56,
59,
40
] | 41 | [
"2+56=58",
"59+40=99",
"99-58=41"
] | Current State: 41:[2, 56, 59, 40], Operations: []
Exploring Operation: 2+56=58, Resulting Numbers: [59, 40, 58]
Generated Node #2: [59, 40, 58] from Operation: 2+56=58
Current State: 41:[59, 40, 58], Operations: ['2+56=58']
Exploring Operation: 59+40=99, Resulting Numbers: [58, 99]
Generated Node #3: [58, 99] from Operation: 59+40=99
Current State: 41:[58, 99], Operations: ['2+56=58', '59+40=99']
Exploring Operation: 99-58=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
63,
19,
15,
8
] | 67 | [
"63-19=44",
"15+8=23",
"44+23=67"
] | Current State: 67:[63, 19, 15, 8], Operations: []
Exploring Operation: 63-19=44, Resulting Numbers: [15, 8, 44]
Generated Node #2: [15, 8, 44] from Operation: 63-19=44
Current State: 67:[15, 8, 44], Operations: ['63-19=44']
Exploring Operation: 15+8=23, Resulting Numbers: [44, 23]
Generated Node #3: [44, 23] from Operation: 15+8=23
Current State: 67:[44, 23], Operations: ['63-19=44', '15+8=23']
Exploring Operation: 44+23=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
6,
54,
11,
11
] | 49 | [
"54-6=48",
"11/11=1",
"48+1=49"
] | Current State: 49:[6, 54, 11, 11], Operations: []
Exploring Operation: 54-6=48, Resulting Numbers: [11, 11, 48]
Generated Node #2: [11, 11, 48] from Operation: 54-6=48
Current State: 49:[11, 11, 48], Operations: ['54-6=48']
Exploring Operation: 11/11=1, Resulting Numbers: [48, 1]
Generated Node #3: [48, 1] from Operation: 11/11=1
Current State: 49:[48, 1], Operations: ['54-6=48', '11/11=1']
Exploring Operation: 48+1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
78,
37,
68,
62
] | 35 | [
"78-37=41",
"68-62=6",
"41-6=35"
] | Current State: 35:[78, 37, 68, 62], Operations: []
Exploring Operation: 78-37=41, Resulting Numbers: [68, 62, 41]
Generated Node #2: [68, 62, 41] from Operation: 78-37=41
Current State: 35:[68, 62, 41], Operations: ['78-37=41']
Exploring Operation: 68-62=6, Resulting Numbers: [41, 6]
Generated Node #3: [41, 6] from Operation: 68-62=6
Current State: 35:[41, 6], Operations: ['78-37=41', '68-62=6']
Exploring Operation: 41-6=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
14,
6,
49,
10
] | 19 | [
"14+6=20",
"49-10=39",
"39-20=19"
] | Current State: 19:[14, 6, 49, 10], Operations: []
Exploring Operation: 14+6=20, Resulting Numbers: [49, 10, 20]
Generated Node #2: [49, 10, 20] from Operation: 14+6=20
Current State: 19:[49, 10, 20], Operations: ['14+6=20']
Exploring Operation: 49-10=39, Resulting Numbers: [20, 39]
Generated Node #3: [20, 39] from Operation: 49-10=39
Current State: 19:[20, 39], Operations: ['14+6=20', '49-10=39']
Exploring Operation: 39-20=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
4,
4,
36,
99
] | 91 | [
"36-4=32",
"32/4=8",
"99-8=91"
] | Current State: 91:[4, 4, 36, 99], Operations: []
Exploring Operation: 36-4=32, Resulting Numbers: [99, 32]
Generated Node #2: [99, 32] from Operation: 36-4=32
Current State: 91:[99, 32], Operations: ['36-4=32']
Exploring Operation: 32/4=8, Resulting Numbers: [99, 8]
Generated Node #3: [99, 8] from Operation: 32/4=8
Current State: 91:[99, 8], Operations: ['36-4=32', '32/4=8']
Exploring Operation: 99-8=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
76,
52,
89,
93
] | 54 | [
"76+52=128",
"89+93=182",
"182-128=54"
] | Current State: 54:[76, 52, 89, 93], Operations: []
Exploring Operation: 76+52=128, Resulting Numbers: [89, 93, 128]
Generated Node #2: [89, 93, 128] from Operation: 76+52=128
Current State: 54:[89, 93, 128], Operations: ['76+52=128']
Exploring Operation: 89+93=182, Resulting Numbers: [128, 182]
Generated Node #3: [128, 182] from Operation: 89+93=182
Current State: 54:[128, 182], Operations: ['76+52=128', '89+93=182']
Exploring Operation: 182-128=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
31,
7,
57,
28
] | 92 | [
"31+57=88",
"28/7=4",
"88+4=92"
] | Current State: 92:[31, 7, 57, 28], Operations: []
Exploring Operation: 31+57=88, Resulting Numbers: [7, 28, 88]
Generated Node #2: [7, 28, 88] from Operation: 31+57=88
Current State: 92:[7, 28, 88], Operations: ['31+57=88']
Exploring Operation: 28/7=4, Resulting Numbers: [88, 4]
Generated Node #3: [88, 4] from Operation: 28/7=4
Current State: 92:[88, 4], Operations: ['31+57=88', '28/7=4']
Exploring Operation: 88+4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
34,
95,
6,
3
] | 91 | [
"34-3=31",
"6*31=186",
"186-95=91"
] | Current State: 91:[34, 95, 6, 3], Operations: []
Exploring Operation: 34-3=31, Resulting Numbers: [95, 6, 31]
Generated Node #2: [95, 6, 31] from Operation: 34-3=31
Current State: 91:[95, 6, 31], Operations: ['34-3=31']
Exploring Operation: 6*31=186, Resulting Numbers: [95, 186]
Generated Node #3: [95, 186] from Operation: 6*31=186
Current State: 91:[95, 186], Operations: ['34-3=31', '6*31=186']
Exploring Operation: 186-95=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
74,
45,
88,
81
] | 47 | [
"74+88=162",
"162/81=2",
"45+2=47"
] | Current State: 47:[74, 45, 88, 81], Operations: []
Exploring Operation: 74+88=162, Resulting Numbers: [45, 81, 162]
Generated Node #2: [45, 81, 162] from Operation: 74+88=162
Current State: 47:[45, 81, 162], Operations: ['74+88=162']
Exploring Operation: 162/81=2, Resulting Numbers: [45, 2]
Generated Node #3: [45, 2] from Operation: 162/81=2
Current State: 47:[45, 2], Operations: ['74+88=162', '162/81=2']
Exploring Operation: 45+2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
31,
27,
84,
72
] | 39 | [
"31-27=4",
"84+72=156",
"156/4=39"
] | Current State: 39:[31, 27, 84, 72], Operations: []
Exploring Operation: 31-27=4, Resulting Numbers: [84, 72, 4]
Generated Node #2: [84, 72, 4] from Operation: 31-27=4
Current State: 39:[84, 72, 4], Operations: ['31-27=4']
Exploring Operation: 84+72=156, Resulting Numbers: [4, 156]
Generated Node #3: [4, 156] from Operation: 84+72=156
Current State: 39:[4, 156], Operations: ['31-27=4', '84+72=156']
Exploring Operation: 156/4=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
80,
38,
31,
24
] | 97 | [
"80-38=42",
"31+24=55",
"42+55=97"
] | Current State: 97:[80, 38, 31, 24], Operations: []
Exploring Operation: 80-38=42, Resulting Numbers: [31, 24, 42]
Generated Node #2: [31, 24, 42] from Operation: 80-38=42
Current State: 97:[31, 24, 42], Operations: ['80-38=42']
Exploring Operation: 31+24=55, Resulting Numbers: [42, 55]
Generated Node #3: [42, 55] from Operation: 31+24=55
Current State: 97:[42, 55], Operations: ['80-38=42', '31+24=55']
Exploring Operation: 42+55=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
84,
20,
12,
21
] | 71 | [
"84+20=104",
"12+21=33",
"104-33=71"
] | Current State: 71:[84, 20, 12, 21], Operations: []
Exploring Operation: 84+20=104, Resulting Numbers: [12, 21, 104]
Generated Node #2: [12, 21, 104] from Operation: 84+20=104
Current State: 71:[12, 21, 104], Operations: ['84+20=104']
Exploring Operation: 12+21=33, Resulting Numbers: [104, 33]
Generated Node #3: [104, 33] from Operation: 12+21=33
Current State: 71:[104, 33], Operations: ['84+20=104', '12+21=33']
Exploring Operation: 104-33=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
42,
22,
21,
68
] | 56 | [
"42/21=2",
"68/2=34",
"22+34=56"
] | Current State: 56:[42, 22, 21, 68], Operations: []
Exploring Operation: 42/21=2, Resulting Numbers: [22, 68, 2]
Generated Node #2: [22, 68, 2] from Operation: 42/21=2
Current State: 56:[22, 68, 2], Operations: ['42/21=2']
Exploring Operation: 68/2=34, Resulting Numbers: [22, 34]
Generated Node #3: [22, 34] from Operation: 68/2=34
Current State: 56:[22, 34], Operations: ['42/21=2', '68/2=34']
Exploring Operation: 22+34=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
44,
45,
21,
66
] | 46 | [
"45-44=1",
"66-21=45",
"1+45=46"
] | Current State: 46:[44, 45, 21, 66], Operations: []
Exploring Operation: 45-44=1, Resulting Numbers: [21, 66, 1]
Generated Node #2: [21, 66, 1] from Operation: 45-44=1
Current State: 46:[21, 66, 1], Operations: ['45-44=1']
Exploring Operation: 66-21=45, Resulting Numbers: [1, 45]
Generated Node #3: [1, 45] from Operation: 66-21=45
Current State: 46:[1, 45], Operations: ['45-44=1', '66-21=45']
Exploring Operation: 1+45=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
2,
73,
88,
56
] | 86 | [
"88-73=15",
"2*15=30",
"56+30=86"
] | Current State: 86:[2, 73, 88, 56], Operations: []
Exploring Operation: 88-73=15, Resulting Numbers: [2, 56, 15]
Generated Node #2: [2, 56, 15] from Operation: 88-73=15
Current State: 86:[2, 56, 15], Operations: ['88-73=15']
Exploring Operation: 2*15=30, Resulting Numbers: [56, 30]
Generated Node #3: [56, 30] from Operation: 2*15=30
Current State: 86:[56, 30], Operations: ['88-73=15', '2*15=30']
Exploring Operation: 56+30=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
20,
70,
73,
18
] | 10 | [
"70*18=1260",
"1260/20=63",
"73-63=10"
] | Current State: 10:[20, 70, 73, 18], Operations: []
Exploring Operation: 70*18=1260, Resulting Numbers: [20, 73, 1260]
Generated Node #2: [20, 73, 1260] from Operation: 70*18=1260
Current State: 10:[20, 73, 1260], Operations: ['70*18=1260']
Exploring Operation: 1260/20=63, Resulting Numbers: [73, 63]
Generated Node #3: [73, 63] from Operation: 1260/20=63
Current State: 10:[73, 63], Operations: ['70*18=1260', '1260/20=63']
Exploring Operation: 73-63=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
41,
19,
81,
25
] | 84 | [
"41-19=22",
"81+25=106",
"106-22=84"
] | Current State: 84:[41, 19, 81, 25], Operations: []
Exploring Operation: 41-19=22, Resulting Numbers: [81, 25, 22]
Generated Node #2: [81, 25, 22] from Operation: 41-19=22
Current State: 84:[81, 25, 22], Operations: ['41-19=22']
Exploring Operation: 81+25=106, Resulting Numbers: [22, 106]
Generated Node #3: [22, 106] from Operation: 81+25=106
Current State: 84:[22, 106], Operations: ['41-19=22', '81+25=106']
Exploring Operation: 106-22=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
2,
35,
66,
75
] | 24 | [
"35-2=33",
"75-66=9",
"33-9=24"
] | Current State: 24:[2, 35, 66, 75], Operations: []
Exploring Operation: 35-2=33, Resulting Numbers: [66, 75, 33]
Generated Node #2: [66, 75, 33] from Operation: 35-2=33
Current State: 24:[66, 75, 33], Operations: ['35-2=33']
Exploring Operation: 75-66=9, Resulting Numbers: [33, 9]
Generated Node #3: [33, 9] from Operation: 75-66=9
Current State: 24:[33, 9], Operations: ['35-2=33', '75-66=9']
Exploring Operation: 33-9=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
2,
85,
29,
62
] | 59 | [
"2+85=87",
"87/29=3",
"62-3=59"
] | Current State: 59:[2, 85, 29, 62], Operations: []
Exploring Operation: 2+85=87, Resulting Numbers: [29, 62, 87]
Generated Node #2: [29, 62, 87] from Operation: 2+85=87
Current State: 59:[29, 62, 87], Operations: ['2+85=87']
Exploring Operation: 87/29=3, Resulting Numbers: [62, 3]
Generated Node #3: [62, 3] from Operation: 87/29=3
Current State: 59:[62, 3], Operations: ['2+85=87', '87/29=3']
Exploring Operation: 62-3=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
96,
70,
10,
52
] | 16 | [
"96-70=26",
"52-10=42",
"42-26=16"
] | Current State: 16:[96, 70, 10, 52], Operations: []
Exploring Operation: 96-70=26, Resulting Numbers: [10, 52, 26]
Generated Node #2: [10, 52, 26] from Operation: 96-70=26
Current State: 16:[10, 52, 26], Operations: ['96-70=26']
Exploring Operation: 52-10=42, Resulting Numbers: [26, 42]
Generated Node #3: [26, 42] from Operation: 52-10=42
Current State: 16:[26, 42], Operations: ['96-70=26', '52-10=42']
Exploring Operation: 42-26=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
6,
29,
37,
85
] | 74 | [
"29+37=66",
"66/6=11",
"85-11=74"
] | Current State: 74:[6, 29, 37, 85], Operations: []
Exploring Operation: 29+37=66, Resulting Numbers: [6, 85, 66]
Generated Node #2: [6, 85, 66] from Operation: 29+37=66
Current State: 74:[6, 85, 66], Operations: ['29+37=66']
Exploring Operation: 66/6=11, Resulting Numbers: [85, 11]
Generated Node #3: [85, 11] from Operation: 66/6=11
Current State: 74:[85, 11], Operations: ['29+37=66', '66/6=11']
Exploring Operation: 85-11=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
14,
64,
84,
81
] | 75 | [
"14+64=78",
"84-81=3",
"78-3=75"
] | Current State: 75:[14, 64, 84, 81], Operations: []
Exploring Operation: 14+64=78, Resulting Numbers: [84, 81, 78]
Generated Node #2: [84, 81, 78] from Operation: 14+64=78
Current State: 75:[84, 81, 78], Operations: ['14+64=78']
Exploring Operation: 84-81=3, Resulting Numbers: [78, 3]
Generated Node #3: [78, 3] from Operation: 84-81=3
Current State: 75:[78, 3], Operations: ['14+64=78', '84-81=3']
Exploring Operation: 78-3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
98,
9,
75,
17
] | 66 | [
"98-17=81",
"81/9=9",
"75-9=66"
] | Current State: 66:[98, 9, 75, 17], Operations: []
Exploring Operation: 98-17=81, Resulting Numbers: [9, 75, 81]
Generated Node #2: [9, 75, 81] from Operation: 98-17=81
Current State: 66:[9, 75, 81], Operations: ['98-17=81']
Exploring Operation: 81/9=9, Resulting Numbers: [75, 9]
Generated Node #3: [75, 9] from Operation: 81/9=9
Current State: 66:[75, 9], Operations: ['98-17=81', '81/9=9']
Exploring Operation: 75-9=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
31,
45,
2,
42
] | 14 | [
"45-31=14",
"2*14=28",
"42-28=14"
] | Current State: 14:[31, 45, 2, 42], Operations: []
Exploring Operation: 45-31=14, Resulting Numbers: [2, 42, 14]
Generated Node #2: [2, 42, 14] from Operation: 45-31=14
Current State: 14:[2, 42, 14], Operations: ['45-31=14']
Exploring Operation: 2*14=28, Resulting Numbers: [42, 28]
Generated Node #3: [42, 28] from Operation: 2*14=28
Current State: 14:[42, 28], Operations: ['45-31=14', '2*14=28']
Exploring Operation: 42-28=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
85,
52,
36,
10
] | 91 | [
"85+52=137",
"36+10=46",
"137-46=91"
] | Current State: 91:[85, 52, 36, 10], Operations: []
Exploring Operation: 85+52=137, Resulting Numbers: [36, 10, 137]
Generated Node #2: [36, 10, 137] from Operation: 85+52=137
Current State: 91:[36, 10, 137], Operations: ['85+52=137']
Exploring Operation: 36+10=46, Resulting Numbers: [137, 46]
Generated Node #3: [137, 46] from Operation: 36+10=46
Current State: 91:[137, 46], Operations: ['85+52=137', '36+10=46']
Exploring Operation: 137-46=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
5,
95,
9,
2
] | 95 | [
"5*2=10",
"10-9=1",
"95*1=95"
] | Current State: 95:[5, 95, 9, 2], Operations: []
Exploring Operation: 5*2=10, Resulting Numbers: [95, 9, 10]
Generated Node #2: [95, 9, 10] from Operation: 5*2=10
Current State: 95:[95, 9, 10], Operations: ['5*2=10']
Exploring Operation: 10-9=1, Resulting Numbers: [95, 1]
Generated Node #3: [95, 1] from Operation: 10-9=1
Current State: 95:[95, 1], Operations: ['5*2=10', '10-9=1']
Exploring Operation: 95*1=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
62,
78,
75,
50
] | 15 | [
"62+78=140",
"75+50=125",
"140-125=15"
] | Current State: 15:[62, 78, 75, 50], Operations: []
Exploring Operation: 62+78=140, Resulting Numbers: [75, 50, 140]
Generated Node #2: [75, 50, 140] from Operation: 62+78=140
Current State: 15:[75, 50, 140], Operations: ['62+78=140']
Exploring Operation: 75+50=125, Resulting Numbers: [140, 125]
Generated Node #3: [140, 125] from Operation: 75+50=125
Current State: 15:[140, 125], Operations: ['62+78=140', '75+50=125']
Exploring Operation: 140-125=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
23,
8,
92,
8
] | 68 | [
"92-23=69",
"8/8=1",
"69-1=68"
] | Current State: 68:[23, 8, 92, 8], Operations: []
Exploring Operation: 92-23=69, Resulting Numbers: [8, 8, 69]
Generated Node #2: [8, 8, 69] from Operation: 92-23=69
Current State: 68:[8, 8, 69], Operations: ['92-23=69']
Exploring Operation: 8/8=1, Resulting Numbers: [69, 1]
Generated Node #3: [69, 1] from Operation: 8/8=1
Current State: 68:[69, 1], Operations: ['92-23=69', '8/8=1']
Exploring Operation: 69-1=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
92,
90,
52,
18
] | 16 | [
"92-90=2",
"18*2=36",
"52-36=16"
] | Current State: 16:[92, 90, 52, 18], Operations: []
Exploring Operation: 92-90=2, Resulting Numbers: [52, 18, 2]
Generated Node #2: [52, 18, 2] from Operation: 92-90=2
Current State: 16:[52, 18, 2], Operations: ['92-90=2']
Exploring Operation: 18*2=36, Resulting Numbers: [52, 36]
Generated Node #3: [52, 36] from Operation: 18*2=36
Current State: 16:[52, 36], Operations: ['92-90=2', '18*2=36']
Exploring Operation: 52-36=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
16,
51,
33,
40
] | 45 | [
"51-33=18",
"40*18=720",
"720/16=45"
] | Current State: 45:[16, 51, 33, 40], Operations: []
Exploring Operation: 51-33=18, Resulting Numbers: [16, 40, 18]
Generated Node #2: [16, 40, 18] from Operation: 51-33=18
Current State: 45:[16, 40, 18], Operations: ['51-33=18']
Exploring Operation: 40*18=720, Resulting Numbers: [16, 720]
Generated Node #3: [16, 720] from Operation: 40*18=720
Current State: 45:[16, 720], Operations: ['51-33=18', '40*18=720']
Exploring Operation: 720/16=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
45,
68,
32,
95
] | 20 | [
"45*68=3060",
"32*95=3040",
"3060-3040=20"
] | Current State: 20:[45, 68, 32, 95], Operations: []
Exploring Operation: 45*68=3060, Resulting Numbers: [32, 95, 3060]
Generated Node #2: [32, 95, 3060] from Operation: 45*68=3060
Current State: 20:[32, 95, 3060], Operations: ['45*68=3060']
Exploring Operation: 32*95=3040, Resulting Numbers: [3060, 3040]
Generated Node #3: [3060, 3040] from Operation: 32*95=3040
Current State: 20:[3060, 3040], Operations: ['45*68=3060', '32*95=3040']
Exploring Operation: 3060-3040=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
46,
16,
88,
14
] | 21 | [
"88-46=42",
"16-14=2",
"42/2=21"
] | Current State: 21:[46, 16, 88, 14], Operations: []
Exploring Operation: 88-46=42, Resulting Numbers: [16, 14, 42]
Generated Node #2: [16, 14, 42] from Operation: 88-46=42
Current State: 21:[16, 14, 42], Operations: ['88-46=42']
Exploring Operation: 16-14=2, Resulting Numbers: [42, 2]
Generated Node #3: [42, 2] from Operation: 16-14=2
Current State: 21:[42, 2], Operations: ['88-46=42', '16-14=2']
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
39,
40,
78,
62
] | 18 | [
"78/39=2",
"40*2=80",
"80-62=18"
] | Current State: 18:[39, 40, 78, 62], Operations: []
Exploring Operation: 78/39=2, Resulting Numbers: [40, 62, 2]
Generated Node #2: [40, 62, 2] from Operation: 78/39=2
Current State: 18:[40, 62, 2], Operations: ['78/39=2']
Exploring Operation: 40*2=80, Resulting Numbers: [62, 80]
Generated Node #3: [62, 80] from Operation: 40*2=80
Current State: 18:[62, 80], Operations: ['78/39=2', '40*2=80']
Exploring Operation: 80-62=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
84,
84,
54,
36
] | 90 | [
"84-84=0",
"54+36=90",
"0+90=90"
] | Current State: 90:[84, 84, 54, 36], Operations: []
Exploring Operation: 84-84=0, Resulting Numbers: [54, 36, 0]
Generated Node #2: [54, 36, 0] from Operation: 84-84=0
Current State: 90:[54, 36, 0], Operations: ['84-84=0']
Exploring Operation: 54+36=90, Resulting Numbers: [0, 90]
Generated Node #3: [0, 90] from Operation: 54+36=90
Current State: 90:[0, 90], Operations: ['84-84=0', '54+36=90']
Exploring Operation: 0+90=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
96,
77,
56,
75
] | 57 | [
"96*77=7392",
"7392/56=132",
"132-75=57"
] | Current State: 57:[96, 77, 56, 75], Operations: []
Exploring Operation: 96*77=7392, Resulting Numbers: [56, 75, 7392]
Generated Node #2: [56, 75, 7392] from Operation: 96*77=7392
Current State: 57:[56, 75, 7392], Operations: ['96*77=7392']
Exploring Operation: 7392/56=132, Resulting Numbers: [75, 132]
Generated Node #3: [75, 132] from Operation: 7392/56=132
Current State: 57:[75, 132], Operations: ['96*77=7392', '7392/56=132']
Exploring Operation: 132-75=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
47,
70,
61,
43
] | 81 | [
"70-47=23",
"61+43=104",
"104-23=81"
] | Current State: 81:[47, 70, 61, 43], Operations: []
Exploring Operation: 70-47=23, Resulting Numbers: [61, 43, 23]
Generated Node #2: [61, 43, 23] from Operation: 70-47=23
Current State: 81:[61, 43, 23], Operations: ['70-47=23']
Exploring Operation: 61+43=104, Resulting Numbers: [23, 104]
Generated Node #3: [23, 104] from Operation: 61+43=104
Current State: 81:[23, 104], Operations: ['70-47=23', '61+43=104']
Exploring Operation: 104-23=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
33,
2,
12,
48
] | 71 | [
"33+2=35",
"48-12=36",
"35+36=71"
] | Current State: 71:[33, 2, 12, 48], Operations: []
Exploring Operation: 33+2=35, Resulting Numbers: [12, 48, 35]
Generated Node #2: [12, 48, 35] from Operation: 33+2=35
Current State: 71:[12, 48, 35], Operations: ['33+2=35']
Exploring Operation: 48-12=36, Resulting Numbers: [35, 36]
Generated Node #3: [35, 36] from Operation: 48-12=36
Current State: 71:[35, 36], Operations: ['33+2=35', '48-12=36']
Exploring Operation: 35+36=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
97,
73,
2,
16
] | 89 | [
"97-16=81",
"2*81=162",
"162-73=89"
] | Current State: 89:[97, 73, 2, 16], Operations: []
Exploring Operation: 97-16=81, Resulting Numbers: [73, 2, 81]
Generated Node #2: [73, 2, 81] from Operation: 97-16=81
Current State: 89:[73, 2, 81], Operations: ['97-16=81']
Exploring Operation: 2*81=162, Resulting Numbers: [73, 162]
Generated Node #3: [73, 162] from Operation: 2*81=162
Current State: 89:[73, 162], Operations: ['97-16=81', '2*81=162']
Exploring Operation: 162-73=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
40,
22,
64,
18
] | 56 | [
"22-18=4",
"64/4=16",
"40+16=56"
] | Current State: 56:[40, 22, 64, 18], Operations: []
Exploring Operation: 22-18=4, Resulting Numbers: [40, 64, 4]
Generated Node #2: [40, 64, 4] from Operation: 22-18=4
Current State: 56:[40, 64, 4], Operations: ['22-18=4']
Exploring Operation: 64/4=16, Resulting Numbers: [40, 16]
Generated Node #3: [40, 16] from Operation: 64/4=16
Current State: 56:[40, 16], Operations: ['22-18=4', '64/4=16']
Exploring Operation: 40+16=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
24,
52,
87,
39
] | 69 | [
"24*39=936",
"936/52=18",
"87-18=69"
] | Current State: 69:[24, 52, 87, 39], Operations: []
Exploring Operation: 24*39=936, Resulting Numbers: [52, 87, 936]
Generated Node #2: [52, 87, 936] from Operation: 24*39=936
Current State: 69:[52, 87, 936], Operations: ['24*39=936']
Exploring Operation: 936/52=18, Resulting Numbers: [87, 18]
Generated Node #3: [87, 18] from Operation: 936/52=18
Current State: 69:[87, 18], Operations: ['24*39=936', '936/52=18']
Exploring Operation: 87-18=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
51,
49,
74,
50
] | 12 | [
"51-49=2",
"74-50=24",
"24/2=12"
] | Current State: 12:[51, 49, 74, 50], Operations: []
Exploring Operation: 51-49=2, Resulting Numbers: [74, 50, 2]
Generated Node #2: [74, 50, 2] from Operation: 51-49=2
Current State: 12:[74, 50, 2], Operations: ['51-49=2']
Exploring Operation: 74-50=24, Resulting Numbers: [2, 24]
Generated Node #3: [2, 24] from Operation: 74-50=24
Current State: 12:[2, 24], Operations: ['51-49=2', '74-50=24']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
96,
38,
97,
23
] | 14 | [
"96+38=134",
"97+23=120",
"134-120=14"
] | Current State: 14:[96, 38, 97, 23], Operations: []
Exploring Operation: 96+38=134, Resulting Numbers: [97, 23, 134]
Generated Node #2: [97, 23, 134] from Operation: 96+38=134
Current State: 14:[97, 23, 134], Operations: ['96+38=134']
Exploring Operation: 97+23=120, Resulting Numbers: [134, 120]
Generated Node #3: [134, 120] from Operation: 97+23=120
Current State: 14:[134, 120], Operations: ['96+38=134', '97+23=120']
Exploring Operation: 134-120=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
22,
66,
18,
59
] | 85 | [
"66-22=44",
"59-18=41",
"44+41=85"
] | Current State: 85:[22, 66, 18, 59], Operations: []
Exploring Operation: 66-22=44, Resulting Numbers: [18, 59, 44]
Generated Node #2: [18, 59, 44] from Operation: 66-22=44
Current State: 85:[18, 59, 44], Operations: ['66-22=44']
Exploring Operation: 59-18=41, Resulting Numbers: [44, 41]
Generated Node #3: [44, 41] from Operation: 59-18=41
Current State: 85:[44, 41], Operations: ['66-22=44', '59-18=41']
Exploring Operation: 44+41=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
47,
41,
50,
53
] | 15 | [
"47+41=88",
"50+53=103",
"103-88=15"
] | Current State: 15:[47, 41, 50, 53], Operations: []
Exploring Operation: 47+41=88, Resulting Numbers: [50, 53, 88]
Generated Node #2: [50, 53, 88] from Operation: 47+41=88
Current State: 15:[50, 53, 88], Operations: ['47+41=88']
Exploring Operation: 50+53=103, Resulting Numbers: [88, 103]
Generated Node #3: [88, 103] from Operation: 50+53=103
Current State: 15:[88, 103], Operations: ['47+41=88', '50+53=103']
Exploring Operation: 103-88=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
4,
35,
48,
20
] | 32 | [
"20-4=16",
"48/16=3",
"35-3=32"
] | Current State: 32:[4, 35, 48, 20], Operations: []
Exploring Operation: 20-4=16, Resulting Numbers: [35, 48, 16]
Generated Node #2: [35, 48, 16] from Operation: 20-4=16
Current State: 32:[35, 48, 16], Operations: ['20-4=16']
Exploring Operation: 48/16=3, Resulting Numbers: [35, 3]
Generated Node #3: [35, 3] from Operation: 48/16=3
Current State: 32:[35, 3], Operations: ['20-4=16', '48/16=3']
Exploring Operation: 35-3=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
3,
13,
57,
74
] | 12 | [
"13+57=70",
"74-70=4",
"3*4=12"
] | Current State: 12:[3, 13, 57, 74], Operations: []
Exploring Operation: 13+57=70, Resulting Numbers: [3, 74, 70]
Generated Node #2: [3, 74, 70] from Operation: 13+57=70
Current State: 12:[3, 74, 70], Operations: ['13+57=70']
Exploring Operation: 74-70=4, Resulting Numbers: [3, 4]
Generated Node #3: [3, 4] from Operation: 74-70=4
Current State: 12:[3, 4], Operations: ['13+57=70', '74-70=4']
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
31,
56,
2,
19
] | 50 | [
"31-19=12",
"12/2=6",
"56-6=50"
] | Current State: 50:[31, 56, 2, 19], Operations: []
Exploring Operation: 31-19=12, Resulting Numbers: [56, 2, 12]
Generated Node #2: [56, 2, 12] from Operation: 31-19=12
Current State: 50:[56, 2, 12], Operations: ['31-19=12']
Exploring Operation: 12/2=6, Resulting Numbers: [56, 6]
Generated Node #3: [56, 6] from Operation: 12/2=6
Current State: 50:[56, 6], Operations: ['31-19=12', '12/2=6']
Exploring Operation: 56-6=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
56,
94,
50,
16
] | 72 | [
"94-56=38",
"50-16=34",
"38+34=72"
] | Current State: 72:[56, 94, 50, 16], Operations: []
Exploring Operation: 94-56=38, Resulting Numbers: [50, 16, 38]
Generated Node #2: [50, 16, 38] from Operation: 94-56=38
Current State: 72:[50, 16, 38], Operations: ['94-56=38']
Exploring Operation: 50-16=34, Resulting Numbers: [38, 34]
Generated Node #3: [38, 34] from Operation: 50-16=34
Current State: 72:[38, 34], Operations: ['94-56=38', '50-16=34']
Exploring Operation: 38+34=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
2,
22,
15,
77
] | 91 | [
"22-15=7",
"2*7=14",
"77+14=91"
] | Current State: 91:[2, 22, 15, 77], Operations: []
Exploring Operation: 22-15=7, Resulting Numbers: [2, 77, 7]
Generated Node #2: [2, 77, 7] from Operation: 22-15=7
Current State: 91:[2, 77, 7], Operations: ['22-15=7']
Exploring Operation: 2*7=14, Resulting Numbers: [77, 14]
Generated Node #3: [77, 14] from Operation: 2*7=14
Current State: 91:[77, 14], Operations: ['22-15=7', '2*7=14']
Exploring Operation: 77+14=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
3,
37,
95,
92
] | 37 | [
"3+37=40",
"95-92=3",
"40-3=37"
] | Current State: 37:[3, 37, 95, 92], Operations: []
Exploring Operation: 3+37=40, Resulting Numbers: [95, 92, 40]
Generated Node #2: [95, 92, 40] from Operation: 3+37=40
Current State: 37:[95, 92, 40], Operations: ['3+37=40']
Exploring Operation: 95-92=3, Resulting Numbers: [40, 3]
Generated Node #3: [40, 3] from Operation: 95-92=3
Current State: 37:[40, 3], Operations: ['3+37=40', '95-92=3']
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
21,
58,
9,
11
] | 20 | [
"21+58=79",
"9*11=99",
"99-79=20"
] | Current State: 20:[21, 58, 9, 11], Operations: []
Exploring Operation: 21+58=79, Resulting Numbers: [9, 11, 79]
Generated Node #2: [9, 11, 79] from Operation: 21+58=79
Current State: 20:[9, 11, 79], Operations: ['21+58=79']
Exploring Operation: 9*11=99, Resulting Numbers: [79, 99]
Generated Node #3: [79, 99] from Operation: 9*11=99
Current State: 20:[79, 99], Operations: ['21+58=79', '9*11=99']
Exploring Operation: 99-79=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
66,
44,
86,
4
] | 92 | [
"66*4=264",
"264/44=6",
"86+6=92"
] | Current State: 92:[66, 44, 86, 4], Operations: []
Exploring Operation: 66*4=264, Resulting Numbers: [44, 86, 264]
Generated Node #2: [44, 86, 264] from Operation: 66*4=264
Current State: 92:[44, 86, 264], Operations: ['66*4=264']
Exploring Operation: 264/44=6, Resulting Numbers: [86, 6]
Generated Node #3: [86, 6] from Operation: 264/44=6
Current State: 92:[86, 6], Operations: ['66*4=264', '264/44=6']
Exploring Operation: 86+6=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
40,
42,
6,
5
] | 84 | [
"40/5=8",
"8-6=2",
"42*2=84"
] | Current State: 84:[40, 42, 6, 5], Operations: []
Exploring Operation: 40/5=8, Resulting Numbers: [42, 6, 8]
Generated Node #2: [42, 6, 8] from Operation: 40/5=8
Current State: 84:[42, 6, 8], Operations: ['40/5=8']
Exploring Operation: 8-6=2, Resulting Numbers: [42, 2]
Generated Node #3: [42, 2] from Operation: 8-6=2
Current State: 84:[42, 2], Operations: ['40/5=8', '8-6=2']
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
85,
98,
13,
87
] | 86 | [
"98-85=13",
"13/13=1",
"87-1=86"
] | Current State: 86:[85, 98, 13, 87], Operations: []
Exploring Operation: 98-85=13, Resulting Numbers: [13, 87, 13]
Generated Node #2: [13, 87, 13] from Operation: 98-85=13
Current State: 86:[13, 87, 13], Operations: ['98-85=13']
Exploring Operation: 13/13=1, Resulting Numbers: [87, 1]
Generated Node #3: [87, 1] from Operation: 13/13=1
Current State: 86:[87, 1], Operations: ['98-85=13', '13/13=1']
Exploring Operation: 87-1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
13,
4,
94,
92
] | 26 | [
"13*4=52",
"94-92=2",
"52/2=26"
] | Current State: 26:[13, 4, 94, 92], Operations: []
Exploring Operation: 13*4=52, Resulting Numbers: [94, 92, 52]
Generated Node #2: [94, 92, 52] from Operation: 13*4=52
Current State: 26:[94, 92, 52], Operations: ['13*4=52']
Exploring Operation: 94-92=2, Resulting Numbers: [52, 2]
Generated Node #3: [52, 2] from Operation: 94-92=2
Current State: 26:[52, 2], Operations: ['13*4=52', '94-92=2']
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
2,
9,
20,
58
] | 27 | [
"2+9=11",
"58-20=38",
"38-11=27"
] | Current State: 27:[2, 9, 20, 58], Operations: []
Exploring Operation: 2+9=11, Resulting Numbers: [20, 58, 11]
Generated Node #2: [20, 58, 11] from Operation: 2+9=11
Current State: 27:[20, 58, 11], Operations: ['2+9=11']
Exploring Operation: 58-20=38, Resulting Numbers: [11, 38]
Generated Node #3: [11, 38] from Operation: 58-20=38
Current State: 27:[11, 38], Operations: ['2+9=11', '58-20=38']
Exploring Operation: 38-11=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
46,
44,
8,
42
] | 40 | [
"46+44=90",
"8+42=50",
"90-50=40"
] | Current State: 40:[46, 44, 8, 42], Operations: []
Exploring Operation: 46+44=90, Resulting Numbers: [8, 42, 90]
Generated Node #2: [8, 42, 90] from Operation: 46+44=90
Current State: 40:[8, 42, 90], Operations: ['46+44=90']
Exploring Operation: 8+42=50, Resulting Numbers: [90, 50]
Generated Node #3: [90, 50] from Operation: 8+42=50
Current State: 40:[90, 50], Operations: ['46+44=90', '8+42=50']
Exploring Operation: 90-50=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
44,
41,
85,
57
] | 58 | [
"44+41=85",
"85/85=1",
"57+1=58"
] | Current State: 58:[44, 41, 85, 57], Operations: []
Exploring Operation: 44+41=85, Resulting Numbers: [85, 57, 85]
Generated Node #2: [85, 57, 85] from Operation: 44+41=85
Current State: 58:[85, 57, 85], Operations: ['44+41=85']
Exploring Operation: 85/85=1, Resulting Numbers: [57, 1]
Generated Node #3: [57, 1] from Operation: 85/85=1
Current State: 58:[57, 1], Operations: ['44+41=85', '85/85=1']
Exploring Operation: 57+1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
98,
58,
9,
6
] | 35 | [
"98+58=156",
"156/6=26",
"9+26=35"
] | Current State: 35:[98, 58, 9, 6], Operations: []
Exploring Operation: 98+58=156, Resulting Numbers: [9, 6, 156]
Generated Node #2: [9, 6, 156] from Operation: 98+58=156
Current State: 35:[9, 6, 156], Operations: ['98+58=156']
Exploring Operation: 156/6=26, Resulting Numbers: [9, 26]
Generated Node #3: [9, 26] from Operation: 156/6=26
Current State: 35:[9, 26], Operations: ['98+58=156', '156/6=26']
Exploring Operation: 9+26=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
73,
17,
24,
85
] | 54 | [
"73-24=49",
"85/17=5",
"49+5=54"
] | Current State: 54:[73, 17, 24, 85], Operations: []
Exploring Operation: 73-24=49, Resulting Numbers: [17, 85, 49]
Generated Node #2: [17, 85, 49] from Operation: 73-24=49
Current State: 54:[17, 85, 49], Operations: ['73-24=49']
Exploring Operation: 85/17=5, Resulting Numbers: [49, 5]
Generated Node #3: [49, 5] from Operation: 85/17=5
Current State: 54:[49, 5], Operations: ['73-24=49', '85/17=5']
Exploring Operation: 49+5=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
15,
3,
38,
73
] | 60 | [
"15+38=53",
"73-53=20",
"3*20=60"
] | Current State: 60:[15, 3, 38, 73], Operations: []
Exploring Operation: 15+38=53, Resulting Numbers: [3, 73, 53]
Generated Node #2: [3, 73, 53] from Operation: 15+38=53
Current State: 60:[3, 73, 53], Operations: ['15+38=53']
Exploring Operation: 73-53=20, Resulting Numbers: [3, 20]
Generated Node #3: [3, 20] from Operation: 73-53=20
Current State: 60:[3, 20], Operations: ['15+38=53', '73-53=20']
Exploring Operation: 3*20=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
81,
61,
59,
80
] | 82 | [
"61-59=2",
"81*2=162",
"162-80=82"
] | Current State: 82:[81, 61, 59, 80], Operations: []
Exploring Operation: 61-59=2, Resulting Numbers: [81, 80, 2]
Generated Node #2: [81, 80, 2] from Operation: 61-59=2
Current State: 82:[81, 80, 2], Operations: ['61-59=2']
Exploring Operation: 81*2=162, Resulting Numbers: [80, 162]
Generated Node #3: [80, 162] from Operation: 81*2=162
Current State: 82:[80, 162], Operations: ['61-59=2', '81*2=162']
Exploring Operation: 162-80=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
9,
96,
79,
1
] | 91 | [
"9-1=8",
"96/8=12",
"79+12=91"
] | Current State: 91:[9, 96, 79, 1], Operations: []
Exploring Operation: 9-1=8, Resulting Numbers: [96, 79, 8]
Generated Node #2: [96, 79, 8] from Operation: 9-1=8
Current State: 91:[96, 79, 8], Operations: ['9-1=8']
Exploring Operation: 96/8=12, Resulting Numbers: [79, 12]
Generated Node #3: [79, 12] from Operation: 96/8=12
Current State: 91:[79, 12], Operations: ['9-1=8', '96/8=12']
Exploring Operation: 79+12=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
51,
94,
68,
15
] | 47 | [
"68-51=17",
"17-15=2",
"94/2=47"
] | Current State: 47:[51, 94, 68, 15], Operations: []
Exploring Operation: 68-51=17, Resulting Numbers: [94, 15, 17]
Generated Node #2: [94, 15, 17] from Operation: 68-51=17
Current State: 47:[94, 15, 17], Operations: ['68-51=17']
Exploring Operation: 17-15=2, Resulting Numbers: [94, 2]
Generated Node #3: [94, 2] from Operation: 17-15=2
Current State: 47:[94, 2], Operations: ['68-51=17', '17-15=2']
Exploring Operation: 94/2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
53,
76,
81,
92
] | 85 | [
"76-53=23",
"92/23=4",
"81+4=85"
] | Current State: 85:[53, 76, 81, 92], Operations: []
Exploring Operation: 76-53=23, Resulting Numbers: [81, 92, 23]
Generated Node #2: [81, 92, 23] from Operation: 76-53=23
Current State: 85:[81, 92, 23], Operations: ['76-53=23']
Exploring Operation: 92/23=4, Resulting Numbers: [81, 4]
Generated Node #3: [81, 4] from Operation: 92/23=4
Current State: 85:[81, 4], Operations: ['76-53=23', '92/23=4']
Exploring Operation: 81+4=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
50,
11,
88,
99
] | 57 | [
"99-50=49",
"88/11=8",
"49+8=57"
] | Current State: 57:[50, 11, 88, 99], Operations: []
Exploring Operation: 99-50=49, Resulting Numbers: [11, 88, 49]
Generated Node #2: [11, 88, 49] from Operation: 99-50=49
Current State: 57:[11, 88, 49], Operations: ['99-50=49']
Exploring Operation: 88/11=8, Resulting Numbers: [49, 8]
Generated Node #3: [49, 8] from Operation: 88/11=8
Current State: 57:[49, 8], Operations: ['99-50=49', '88/11=8']
Exploring Operation: 49+8=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
5,
26,
60,
26
] | 66 | [
"5+60=65",
"26/26=1",
"65+1=66"
] | Current State: 66:[5, 26, 60, 26], Operations: []
Exploring Operation: 5+60=65, Resulting Numbers: [26, 26, 65]
Generated Node #2: [26, 26, 65] from Operation: 5+60=65
Current State: 66:[26, 26, 65], Operations: ['5+60=65']
Exploring Operation: 26/26=1, Resulting Numbers: [65, 1]
Generated Node #3: [65, 1] from Operation: 26/26=1
Current State: 66:[65, 1], Operations: ['5+60=65', '26/26=1']
Exploring Operation: 65+1=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
90,
50,
73,
92
] | 59 | [
"90-50=40",
"92-73=19",
"40+19=59"
] | Current State: 59:[90, 50, 73, 92], Operations: []
Exploring Operation: 90-50=40, Resulting Numbers: [73, 92, 40]
Generated Node #2: [73, 92, 40] from Operation: 90-50=40
Current State: 59:[73, 92, 40], Operations: ['90-50=40']
Exploring Operation: 92-73=19, Resulting Numbers: [40, 19]
Generated Node #3: [40, 19] from Operation: 92-73=19
Current State: 59:[40, 19], Operations: ['90-50=40', '92-73=19']
Exploring Operation: 40+19=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
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