nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
29,
73,
25,
18
] | 70 | [
"29+25=54",
"54/18=3",
"73-3=70"
] | Current State: 70:[29, 73, 25, 18], Operations: []
Exploring Operation: 29+25=54, Resulting Numbers: [73, 18, 54]
Generated Node #2: [73, 18, 54] from Operation: 29+25=54
Current State: 70:[73, 18, 54], Operations: ['29+25=54']
Exploring Operation: 54/18=3, Resulting Numbers: [73, 3]
Generated Node #3: [73, 3] from Operation: 54/18=3
Current State: 70:[73, 3], Operations: ['29+25=54', '54/18=3']
Exploring Operation: 73-3=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
41,
84,
5,
24
] | 96 | [
"41+84=125",
"5+24=29",
"125-29=96"
] | Current State: 96:[41, 84, 5, 24], Operations: []
Exploring Operation: 41+84=125, Resulting Numbers: [5, 24, 125]
Generated Node #2: [5, 24, 125] from Operation: 41+84=125
Current State: 96:[5, 24, 125], Operations: ['41+84=125']
Exploring Operation: 5+24=29, Resulting Numbers: [125, 29]
Generated Node #3: [125, 29] from Operation: 5+24=29
Current State: 96:[125, 29], Operations: ['41+84=125', '5+24=29']
Exploring Operation: 125-29=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
35,
27,
79,
55
] | 38 | [
"35+27=62",
"79-55=24",
"62-24=38"
] | Current State: 38:[35, 27, 79, 55], Operations: []
Exploring Operation: 35+27=62, Resulting Numbers: [79, 55, 62]
Generated Node #2: [79, 55, 62] from Operation: 35+27=62
Current State: 38:[79, 55, 62], Operations: ['35+27=62']
Exploring Operation: 79-55=24, Resulting Numbers: [62, 24]
Generated Node #3: [62, 24] from Operation: 79-55=24
Current State: 38:[62, 24], Operations: ['35+27=62', '79-55=24']
Exploring Operation: 62-24=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
4,
12,
77,
24
] | 68 | [
"12+24=36",
"36/4=9",
"77-9=68"
] | Current State: 68:[4, 12, 77, 24], Operations: []
Exploring Operation: 12+24=36, Resulting Numbers: [4, 77, 36]
Generated Node #2: [4, 77, 36] from Operation: 12+24=36
Current State: 68:[4, 77, 36], Operations: ['12+24=36']
Exploring Operation: 36/4=9, Resulting Numbers: [77, 9]
Generated Node #3: [77, 9] from Operation: 36/4=9
Current State: 68:[77, 9], Operations: ['12+24=36', '36/4=9']
Exploring Operation: 77-9=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
54,
77,
38,
23
] | 37 | [
"77-54=23",
"23/23=1",
"38-1=37"
] | Current State: 37:[54, 77, 38, 23], Operations: []
Exploring Operation: 77-54=23, Resulting Numbers: [38, 23, 23]
Generated Node #2: [38, 23, 23] from Operation: 77-54=23
Current State: 37:[38, 23, 23], Operations: ['77-54=23']
Exploring Operation: 23/23=1, Resulting Numbers: [38, 1]
Generated Node #3: [38, 1] from Operation: 23/23=1
Current State: 37:[38, 1], Operations: ['77-54=23', '23/23=1']
Exploring Operation: 38-1=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
39,
31,
35,
91
] | 46 | [
"39*35=1365",
"1365/91=15",
"31+15=46"
] | Current State: 46:[39, 31, 35, 91], Operations: []
Exploring Operation: 39*35=1365, Resulting Numbers: [31, 91, 1365]
Generated Node #2: [31, 91, 1365] from Operation: 39*35=1365
Current State: 46:[31, 91, 1365], Operations: ['39*35=1365']
Exploring Operation: 1365/91=15, Resulting Numbers: [31, 15]
Generated Node #3: [31, 15] from Operation: 1365/91=15
Current State: 46:[31, 15], Operations: ['39*35=1365', '1365/91=15']
Exploring Operation: 31+15=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
83,
91,
88,
13
] | 16 | [
"91-83=8",
"13*8=104",
"104-88=16"
] | Current State: 16:[83, 91, 88, 13], Operations: []
Exploring Operation: 91-83=8, Resulting Numbers: [88, 13, 8]
Generated Node #2: [88, 13, 8] from Operation: 91-83=8
Current State: 16:[88, 13, 8], Operations: ['91-83=8']
Exploring Operation: 13*8=104, Resulting Numbers: [88, 104]
Generated Node #3: [88, 104] from Operation: 13*8=104
Current State: 16:[88, 104], Operations: ['91-83=8', '13*8=104']
Exploring Operation: 104-88=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
90,
46,
84,
4
] | 48 | [
"90+46=136",
"84+4=88",
"136-88=48"
] | Current State: 48:[90, 46, 84, 4], Operations: []
Exploring Operation: 90+46=136, Resulting Numbers: [84, 4, 136]
Generated Node #2: [84, 4, 136] from Operation: 90+46=136
Current State: 48:[84, 4, 136], Operations: ['90+46=136']
Exploring Operation: 84+4=88, Resulting Numbers: [136, 88]
Generated Node #3: [136, 88] from Operation: 84+4=88
Current State: 48:[136, 88], Operations: ['90+46=136', '84+4=88']
Exploring Operation: 136-88=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
31,
14,
37,
43
] | 28 | [
"31+43=74",
"14*74=1036",
"1036/37=28"
] | Current State: 28:[31, 14, 37, 43], Operations: []
Exploring Operation: 31+43=74, Resulting Numbers: [14, 37, 74]
Generated Node #2: [14, 37, 74] from Operation: 31+43=74
Current State: 28:[14, 37, 74], Operations: ['31+43=74']
Exploring Operation: 14*74=1036, Resulting Numbers: [37, 1036]
Generated Node #3: [37, 1036] from Operation: 14*74=1036
Current State: 28:[37, 1036], Operations: ['31+43=74', '14*74=1036']
Exploring Operation: 1036/37=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
72,
42,
88,
68
] | 91 | [
"88+68=156",
"42*156=6552",
"6552/72=91"
] | Current State: 91:[72, 42, 88, 68], Operations: []
Exploring Operation: 88+68=156, Resulting Numbers: [72, 42, 156]
Generated Node #2: [72, 42, 156] from Operation: 88+68=156
Current State: 91:[72, 42, 156], Operations: ['88+68=156']
Exploring Operation: 42*156=6552, Resulting Numbers: [72, 6552]
Generated Node #3: [72, 6552] from Operation: 42*156=6552
Current State: 91:[72, 6552], Operations: ['88+68=156', '42*156=6552']
Exploring Operation: 6552/72=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
2,
56,
95,
65
] | 58 | [
"56/2=28",
"95-65=30",
"28+30=58"
] | Current State: 58:[2, 56, 95, 65], Operations: []
Exploring Operation: 56/2=28, Resulting Numbers: [95, 65, 28]
Generated Node #2: [95, 65, 28] from Operation: 56/2=28
Current State: 58:[95, 65, 28], Operations: ['56/2=28']
Exploring Operation: 95-65=30, Resulting Numbers: [28, 30]
Generated Node #3: [28, 30] from Operation: 95-65=30
Current State: 58:[28, 30], Operations: ['56/2=28', '95-65=30']
Exploring Operation: 28+30=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
25,
56,
3,
12
] | 27 | [
"56-25=31",
"12/3=4",
"31-4=27"
] | Current State: 27:[25, 56, 3, 12], Operations: []
Exploring Operation: 56-25=31, Resulting Numbers: [3, 12, 31]
Generated Node #2: [3, 12, 31] from Operation: 56-25=31
Current State: 27:[3, 12, 31], Operations: ['56-25=31']
Exploring Operation: 12/3=4, Resulting Numbers: [31, 4]
Generated Node #3: [31, 4] from Operation: 12/3=4
Current State: 27:[31, 4], Operations: ['56-25=31', '12/3=4']
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
47,
80,
20,
45
] | 60 | [
"47-45=2",
"80/2=40",
"20+40=60"
] | Current State: 60:[47, 80, 20, 45], Operations: []
Exploring Operation: 47-45=2, Resulting Numbers: [80, 20, 2]
Generated Node #2: [80, 20, 2] from Operation: 47-45=2
Current State: 60:[80, 20, 2], Operations: ['47-45=2']
Exploring Operation: 80/2=40, Resulting Numbers: [20, 40]
Generated Node #3: [20, 40] from Operation: 80/2=40
Current State: 60:[20, 40], Operations: ['47-45=2', '80/2=40']
Exploring Operation: 20+40=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
4,
14,
46,
7
] | 52 | [
"4+46=50",
"14/7=2",
"50+2=52"
] | Current State: 52:[4, 14, 46, 7], Operations: []
Exploring Operation: 4+46=50, Resulting Numbers: [14, 7, 50]
Generated Node #2: [14, 7, 50] from Operation: 4+46=50
Current State: 52:[14, 7, 50], Operations: ['4+46=50']
Exploring Operation: 14/7=2, Resulting Numbers: [50, 2]
Generated Node #3: [50, 2] from Operation: 14/7=2
Current State: 52:[50, 2], Operations: ['4+46=50', '14/7=2']
Exploring Operation: 50+2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
52,
28,
35,
15
] | 31 | [
"28-15=13",
"52/13=4",
"35-4=31"
] | Current State: 31:[52, 28, 35, 15], Operations: []
Exploring Operation: 28-15=13, Resulting Numbers: [52, 35, 13]
Generated Node #2: [52, 35, 13] from Operation: 28-15=13
Current State: 31:[52, 35, 13], Operations: ['28-15=13']
Exploring Operation: 52/13=4, Resulting Numbers: [35, 4]
Generated Node #3: [35, 4] from Operation: 52/13=4
Current State: 31:[35, 4], Operations: ['28-15=13', '52/13=4']
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
41,
71,
33,
20
] | 43 | [
"71-41=30",
"33-20=13",
"30+13=43"
] | Current State: 43:[41, 71, 33, 20], Operations: []
Exploring Operation: 71-41=30, Resulting Numbers: [33, 20, 30]
Generated Node #2: [33, 20, 30] from Operation: 71-41=30
Current State: 43:[33, 20, 30], Operations: ['71-41=30']
Exploring Operation: 33-20=13, Resulting Numbers: [30, 13]
Generated Node #3: [30, 13] from Operation: 33-20=13
Current State: 43:[30, 13], Operations: ['71-41=30', '33-20=13']
Exploring Operation: 30+13=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
89,
81,
72,
71
] | 77 | [
"89-71=18",
"72/18=4",
"81-4=77"
] | Current State: 77:[89, 81, 72, 71], Operations: []
Exploring Operation: 89-71=18, Resulting Numbers: [81, 72, 18]
Generated Node #2: [81, 72, 18] from Operation: 89-71=18
Current State: 77:[81, 72, 18], Operations: ['89-71=18']
Exploring Operation: 72/18=4, Resulting Numbers: [81, 4]
Generated Node #3: [81, 4] from Operation: 72/18=4
Current State: 77:[81, 4], Operations: ['89-71=18', '72/18=4']
Exploring Operation: 81-4=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
63,
87,
35,
33
] | 92 | [
"87-63=24",
"35+33=68",
"24+68=92"
] | Current State: 92:[63, 87, 35, 33], Operations: []
Exploring Operation: 87-63=24, Resulting Numbers: [35, 33, 24]
Generated Node #2: [35, 33, 24] from Operation: 87-63=24
Current State: 92:[35, 33, 24], Operations: ['87-63=24']
Exploring Operation: 35+33=68, Resulting Numbers: [24, 68]
Generated Node #3: [24, 68] from Operation: 35+33=68
Current State: 92:[24, 68], Operations: ['87-63=24', '35+33=68']
Exploring Operation: 24+68=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
35,
99,
93,
33
] | 74 | [
"35+99=134",
"93-33=60",
"134-60=74"
] | Current State: 74:[35, 99, 93, 33], Operations: []
Exploring Operation: 35+99=134, Resulting Numbers: [93, 33, 134]
Generated Node #2: [93, 33, 134] from Operation: 35+99=134
Current State: 74:[93, 33, 134], Operations: ['35+99=134']
Exploring Operation: 93-33=60, Resulting Numbers: [134, 60]
Generated Node #3: [134, 60] from Operation: 93-33=60
Current State: 74:[134, 60], Operations: ['35+99=134', '93-33=60']
Exploring Operation: 134-60=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
70,
68,
46,
88
] | 44 | [
"70-68=2",
"88-46=42",
"2+42=44"
] | Current State: 44:[70, 68, 46, 88], Operations: []
Exploring Operation: 70-68=2, Resulting Numbers: [46, 88, 2]
Generated Node #2: [46, 88, 2] from Operation: 70-68=2
Current State: 44:[46, 88, 2], Operations: ['70-68=2']
Exploring Operation: 88-46=42, Resulting Numbers: [2, 42]
Generated Node #3: [2, 42] from Operation: 88-46=42
Current State: 44:[2, 42], Operations: ['70-68=2', '88-46=42']
Exploring Operation: 2+42=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
54,
10,
22,
2
] | 15 | [
"54/2=27",
"22-10=12",
"27-12=15"
] | Current State: 15:[54, 10, 22, 2], Operations: []
Exploring Operation: 54/2=27, Resulting Numbers: [10, 22, 27]
Generated Node #2: [10, 22, 27] from Operation: 54/2=27
Current State: 15:[10, 22, 27], Operations: ['54/2=27']
Exploring Operation: 22-10=12, Resulting Numbers: [27, 12]
Generated Node #3: [27, 12] from Operation: 22-10=12
Current State: 15:[27, 12], Operations: ['54/2=27', '22-10=12']
Exploring Operation: 27-12=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
26,
64,
97,
96
] | 91 | [
"26+64=90",
"97-96=1",
"90+1=91"
] | Current State: 91:[26, 64, 97, 96], Operations: []
Exploring Operation: 26+64=90, Resulting Numbers: [97, 96, 90]
Generated Node #2: [97, 96, 90] from Operation: 26+64=90
Current State: 91:[97, 96, 90], Operations: ['26+64=90']
Exploring Operation: 97-96=1, Resulting Numbers: [90, 1]
Generated Node #3: [90, 1] from Operation: 97-96=1
Current State: 91:[90, 1], Operations: ['26+64=90', '97-96=1']
Exploring Operation: 90+1=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
34,
76,
48,
11
] | 79 | [
"76-34=42",
"48-11=37",
"42+37=79"
] | Current State: 79:[34, 76, 48, 11], Operations: []
Exploring Operation: 76-34=42, Resulting Numbers: [48, 11, 42]
Generated Node #2: [48, 11, 42] from Operation: 76-34=42
Current State: 79:[48, 11, 42], Operations: ['76-34=42']
Exploring Operation: 48-11=37, Resulting Numbers: [42, 37]
Generated Node #3: [42, 37] from Operation: 48-11=37
Current State: 79:[42, 37], Operations: ['76-34=42', '48-11=37']
Exploring Operation: 42+37=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
77,
23,
13,
68
] | 27 | [
"77-23=54",
"13+68=81",
"81-54=27"
] | Current State: 27:[77, 23, 13, 68], Operations: []
Exploring Operation: 77-23=54, Resulting Numbers: [13, 68, 54]
Generated Node #2: [13, 68, 54] from Operation: 77-23=54
Current State: 27:[13, 68, 54], Operations: ['77-23=54']
Exploring Operation: 13+68=81, Resulting Numbers: [54, 81]
Generated Node #3: [54, 81] from Operation: 13+68=81
Current State: 27:[54, 81], Operations: ['77-23=54', '13+68=81']
Exploring Operation: 81-54=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
20,
83,
92,
58
] | 97 | [
"83-20=63",
"92-58=34",
"63+34=97"
] | Current State: 97:[20, 83, 92, 58], Operations: []
Exploring Operation: 83-20=63, Resulting Numbers: [92, 58, 63]
Generated Node #2: [92, 58, 63] from Operation: 83-20=63
Current State: 97:[92, 58, 63], Operations: ['83-20=63']
Exploring Operation: 92-58=34, Resulting Numbers: [63, 34]
Generated Node #3: [63, 34] from Operation: 92-58=34
Current State: 97:[63, 34], Operations: ['83-20=63', '92-58=34']
Exploring Operation: 63+34=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
98,
94,
59,
20
] | 83 | [
"98-94=4",
"59+20=79",
"4+79=83"
] | Current State: 83:[98, 94, 59, 20], Operations: []
Exploring Operation: 98-94=4, Resulting Numbers: [59, 20, 4]
Generated Node #2: [59, 20, 4] from Operation: 98-94=4
Current State: 83:[59, 20, 4], Operations: ['98-94=4']
Exploring Operation: 59+20=79, Resulting Numbers: [4, 79]
Generated Node #3: [4, 79] from Operation: 59+20=79
Current State: 83:[4, 79], Operations: ['98-94=4', '59+20=79']
Exploring Operation: 4+79=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
91,
56,
81,
5
] | 74 | [
"91-56=35",
"35/5=7",
"81-7=74"
] | Current State: 74:[91, 56, 81, 5], Operations: []
Exploring Operation: 91-56=35, Resulting Numbers: [81, 5, 35]
Generated Node #2: [81, 5, 35] from Operation: 91-56=35
Current State: 74:[81, 5, 35], Operations: ['91-56=35']
Exploring Operation: 35/5=7, Resulting Numbers: [81, 7]
Generated Node #3: [81, 7] from Operation: 35/5=7
Current State: 74:[81, 7], Operations: ['91-56=35', '35/5=7']
Exploring Operation: 81-7=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
52,
16,
53,
90
] | 74 | [
"53-52=1",
"90-16=74",
"1*74=74"
] | Current State: 74:[52, 16, 53, 90], Operations: []
Exploring Operation: 53-52=1, Resulting Numbers: [16, 90, 1]
Generated Node #2: [16, 90, 1] from Operation: 53-52=1
Current State: 74:[16, 90, 1], Operations: ['53-52=1']
Exploring Operation: 90-16=74, Resulting Numbers: [1, 74]
Generated Node #3: [1, 74] from Operation: 90-16=74
Current State: 74:[1, 74], Operations: ['53-52=1', '90-16=74']
Exploring Operation: 1*74=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
10,
72,
55,
10
] | 27 | [
"10*10=100",
"72+55=127",
"127-100=27"
] | Current State: 27:[10, 72, 55, 10], Operations: []
Exploring Operation: 10*10=100, Resulting Numbers: [72, 55, 100]
Generated Node #2: [72, 55, 100] from Operation: 10*10=100
Current State: 27:[72, 55, 100], Operations: ['10*10=100']
Exploring Operation: 72+55=127, Resulting Numbers: [100, 127]
Generated Node #3: [100, 127] from Operation: 72+55=127
Current State: 27:[100, 127], Operations: ['10*10=100', '72+55=127']
Exploring Operation: 127-100=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
45,
63,
47,
44
] | 16 | [
"45-44=1",
"63-47=16",
"1*16=16"
] | Current State: 16:[45, 63, 47, 44], Operations: []
Exploring Operation: 45-44=1, Resulting Numbers: [63, 47, 1]
Generated Node #2: [63, 47, 1] from Operation: 45-44=1
Current State: 16:[63, 47, 1], Operations: ['45-44=1']
Exploring Operation: 63-47=16, Resulting Numbers: [1, 16]
Generated Node #3: [1, 16] from Operation: 63-47=16
Current State: 16:[1, 16], Operations: ['45-44=1', '63-47=16']
Exploring Operation: 1*16=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
4,
36,
17,
21
] | 77 | [
"36-21=15",
"4*15=60",
"17+60=77"
] | Current State: 77:[4, 36, 17, 21], Operations: []
Exploring Operation: 36-21=15, Resulting Numbers: [4, 17, 15]
Generated Node #2: [4, 17, 15] from Operation: 36-21=15
Current State: 77:[4, 17, 15], Operations: ['36-21=15']
Exploring Operation: 4*15=60, Resulting Numbers: [17, 60]
Generated Node #3: [17, 60] from Operation: 4*15=60
Current State: 77:[17, 60], Operations: ['36-21=15', '4*15=60']
Exploring Operation: 17+60=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
18,
93,
73,
3
] | 74 | [
"18*3=54",
"93-73=20",
"54+20=74"
] | Current State: 74:[18, 93, 73, 3], Operations: []
Exploring Operation: 18*3=54, Resulting Numbers: [93, 73, 54]
Generated Node #2: [93, 73, 54] from Operation: 18*3=54
Current State: 74:[93, 73, 54], Operations: ['18*3=54']
Exploring Operation: 93-73=20, Resulting Numbers: [54, 20]
Generated Node #3: [54, 20] from Operation: 93-73=20
Current State: 74:[54, 20], Operations: ['18*3=54', '93-73=20']
Exploring Operation: 54+20=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
11,
5,
34,
66
] | 64 | [
"66/11=6",
"5*6=30",
"34+30=64"
] | Current State: 64:[11, 5, 34, 66], Operations: []
Exploring Operation: 66/11=6, Resulting Numbers: [5, 34, 6]
Generated Node #2: [5, 34, 6] from Operation: 66/11=6
Current State: 64:[5, 34, 6], Operations: ['66/11=6']
Exploring Operation: 5*6=30, Resulting Numbers: [34, 30]
Generated Node #3: [34, 30] from Operation: 5*6=30
Current State: 64:[34, 30], Operations: ['66/11=6', '5*6=30']
Exploring Operation: 34+30=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
28,
23,
73,
24
] | 44 | [
"28-23=5",
"73-24=49",
"49-5=44"
] | Current State: 44:[28, 23, 73, 24], Operations: []
Exploring Operation: 28-23=5, Resulting Numbers: [73, 24, 5]
Generated Node #2: [73, 24, 5] from Operation: 28-23=5
Current State: 44:[73, 24, 5], Operations: ['28-23=5']
Exploring Operation: 73-24=49, Resulting Numbers: [5, 49]
Generated Node #3: [5, 49] from Operation: 73-24=49
Current State: 44:[5, 49], Operations: ['28-23=5', '73-24=49']
Exploring Operation: 49-5=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
76,
31,
51,
55
] | 48 | [
"55-51=4",
"31*4=124",
"124-76=48"
] | Current State: 48:[76, 31, 51, 55], Operations: []
Exploring Operation: 55-51=4, Resulting Numbers: [76, 31, 4]
Generated Node #2: [76, 31, 4] from Operation: 55-51=4
Current State: 48:[76, 31, 4], Operations: ['55-51=4']
Exploring Operation: 31*4=124, Resulting Numbers: [76, 124]
Generated Node #3: [76, 124] from Operation: 31*4=124
Current State: 48:[76, 124], Operations: ['55-51=4', '31*4=124']
Exploring Operation: 124-76=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
12,
74,
15,
97
] | 13 | [
"74-15=59",
"97+59=156",
"156/12=13"
] | Current State: 13:[12, 74, 15, 97], Operations: []
Exploring Operation: 74-15=59, Resulting Numbers: [12, 97, 59]
Generated Node #2: [12, 97, 59] from Operation: 74-15=59
Current State: 13:[12, 97, 59], Operations: ['74-15=59']
Exploring Operation: 97+59=156, Resulting Numbers: [12, 156]
Generated Node #3: [12, 156] from Operation: 97+59=156
Current State: 13:[12, 156], Operations: ['74-15=59', '97+59=156']
Exploring Operation: 156/12=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
64,
70,
84,
48
] | 34 | [
"70-64=6",
"84/6=14",
"48-14=34"
] | Current State: 34:[64, 70, 84, 48], Operations: []
Exploring Operation: 70-64=6, Resulting Numbers: [84, 48, 6]
Generated Node #2: [84, 48, 6] from Operation: 70-64=6
Current State: 34:[84, 48, 6], Operations: ['70-64=6']
Exploring Operation: 84/6=14, Resulting Numbers: [48, 14]
Generated Node #3: [48, 14] from Operation: 84/6=14
Current State: 34:[48, 14], Operations: ['70-64=6', '84/6=14']
Exploring Operation: 48-14=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
29,
38,
97,
63
] | 36 | [
"29+97=126",
"126/63=2",
"38-2=36"
] | Current State: 36:[29, 38, 97, 63], Operations: []
Exploring Operation: 29+97=126, Resulting Numbers: [38, 63, 126]
Generated Node #2: [38, 63, 126] from Operation: 29+97=126
Current State: 36:[38, 63, 126], Operations: ['29+97=126']
Exploring Operation: 126/63=2, Resulting Numbers: [38, 2]
Generated Node #3: [38, 2] from Operation: 126/63=2
Current State: 36:[38, 2], Operations: ['29+97=126', '126/63=2']
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
11,
5,
67,
26
] | 14 | [
"11*5=55",
"67-26=41",
"55-41=14"
] | Current State: 14:[11, 5, 67, 26], Operations: []
Exploring Operation: 11*5=55, Resulting Numbers: [67, 26, 55]
Generated Node #2: [67, 26, 55] from Operation: 11*5=55
Current State: 14:[67, 26, 55], Operations: ['11*5=55']
Exploring Operation: 67-26=41, Resulting Numbers: [55, 41]
Generated Node #3: [55, 41] from Operation: 67-26=41
Current State: 14:[55, 41], Operations: ['11*5=55', '67-26=41']
Exploring Operation: 55-41=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
94,
70,
60,
2
] | 74 | [
"70-60=10",
"2*10=20",
"94-20=74"
] | Current State: 74:[94, 70, 60, 2], Operations: []
Exploring Operation: 70-60=10, Resulting Numbers: [94, 2, 10]
Generated Node #2: [94, 2, 10] from Operation: 70-60=10
Current State: 74:[94, 2, 10], Operations: ['70-60=10']
Exploring Operation: 2*10=20, Resulting Numbers: [94, 20]
Generated Node #3: [94, 20] from Operation: 2*10=20
Current State: 74:[94, 20], Operations: ['70-60=10', '2*10=20']
Exploring Operation: 94-20=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
11,
31,
70,
29
] | 57 | [
"11+31=42",
"70+29=99",
"99-42=57"
] | Current State: 57:[11, 31, 70, 29], Operations: []
Exploring Operation: 11+31=42, Resulting Numbers: [70, 29, 42]
Generated Node #2: [70, 29, 42] from Operation: 11+31=42
Current State: 57:[70, 29, 42], Operations: ['11+31=42']
Exploring Operation: 70+29=99, Resulting Numbers: [42, 99]
Generated Node #3: [42, 99] from Operation: 70+29=99
Current State: 57:[42, 99], Operations: ['11+31=42', '70+29=99']
Exploring Operation: 99-42=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
71,
49,
2,
42
] | 86 | [
"71-49=22",
"2*22=44",
"42+44=86"
] | Current State: 86:[71, 49, 2, 42], Operations: []
Exploring Operation: 71-49=22, Resulting Numbers: [2, 42, 22]
Generated Node #2: [2, 42, 22] from Operation: 71-49=22
Current State: 86:[2, 42, 22], Operations: ['71-49=22']
Exploring Operation: 2*22=44, Resulting Numbers: [42, 44]
Generated Node #3: [42, 44] from Operation: 2*22=44
Current State: 86:[42, 44], Operations: ['71-49=22', '2*22=44']
Exploring Operation: 42+44=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
73,
95,
16,
58
] | 94 | [
"73+95=168",
"16+58=74",
"168-74=94"
] | Current State: 94:[73, 95, 16, 58], Operations: []
Exploring Operation: 73+95=168, Resulting Numbers: [16, 58, 168]
Generated Node #2: [16, 58, 168] from Operation: 73+95=168
Current State: 94:[16, 58, 168], Operations: ['73+95=168']
Exploring Operation: 16+58=74, Resulting Numbers: [168, 74]
Generated Node #3: [168, 74] from Operation: 16+58=74
Current State: 94:[168, 74], Operations: ['73+95=168', '16+58=74']
Exploring Operation: 168-74=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
57,
42,
42,
13
] | 45 | [
"57-13=44",
"42/42=1",
"44+1=45"
] | Current State: 45:[57, 42, 42, 13], Operations: []
Exploring Operation: 57-13=44, Resulting Numbers: [42, 42, 44]
Generated Node #2: [42, 42, 44] from Operation: 57-13=44
Current State: 45:[42, 42, 44], Operations: ['57-13=44']
Exploring Operation: 42/42=1, Resulting Numbers: [44, 1]
Generated Node #3: [44, 1] from Operation: 42/42=1
Current State: 45:[44, 1], Operations: ['57-13=44', '42/42=1']
Exploring Operation: 44+1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
23,
5,
27,
42
] | 97 | [
"23+5=28",
"27+42=69",
"28+69=97"
] | Current State: 97:[23, 5, 27, 42], Operations: []
Exploring Operation: 23+5=28, Resulting Numbers: [27, 42, 28]
Generated Node #2: [27, 42, 28] from Operation: 23+5=28
Current State: 97:[27, 42, 28], Operations: ['23+5=28']
Exploring Operation: 27+42=69, Resulting Numbers: [28, 69]
Generated Node #3: [28, 69] from Operation: 27+42=69
Current State: 97:[28, 69], Operations: ['23+5=28', '27+42=69']
Exploring Operation: 28+69=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
82,
51,
3,
56
] | 63 | [
"82+51=133",
"56+133=189",
"189/3=63"
] | Current State: 63:[82, 51, 3, 56], Operations: []
Exploring Operation: 82+51=133, Resulting Numbers: [3, 56, 133]
Generated Node #2: [3, 56, 133] from Operation: 82+51=133
Current State: 63:[3, 56, 133], Operations: ['82+51=133']
Exploring Operation: 56+133=189, Resulting Numbers: [3, 189]
Generated Node #3: [3, 189] from Operation: 56+133=189
Current State: 63:[3, 189], Operations: ['82+51=133', '56+133=189']
Exploring Operation: 189/3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
39,
33,
21,
54
] | 81 | [
"39-33=6",
"21+54=75",
"6+75=81"
] | Current State: 81:[39, 33, 21, 54], Operations: []
Exploring Operation: 39-33=6, Resulting Numbers: [21, 54, 6]
Generated Node #2: [21, 54, 6] from Operation: 39-33=6
Current State: 81:[21, 54, 6], Operations: ['39-33=6']
Exploring Operation: 21+54=75, Resulting Numbers: [6, 75]
Generated Node #3: [6, 75] from Operation: 21+54=75
Current State: 81:[6, 75], Operations: ['39-33=6', '21+54=75']
Exploring Operation: 6+75=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
61,
76,
78,
82
] | 23 | [
"61+76=137",
"78+82=160",
"160-137=23"
] | Current State: 23:[61, 76, 78, 82], Operations: []
Exploring Operation: 61+76=137, Resulting Numbers: [78, 82, 137]
Generated Node #2: [78, 82, 137] from Operation: 61+76=137
Current State: 23:[78, 82, 137], Operations: ['61+76=137']
Exploring Operation: 78+82=160, Resulting Numbers: [137, 160]
Generated Node #3: [137, 160] from Operation: 78+82=160
Current State: 23:[137, 160], Operations: ['61+76=137', '78+82=160']
Exploring Operation: 160-137=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
54,
65,
43,
22
] | 54 | [
"54+65=119",
"43+22=65",
"119-65=54"
] | Current State: 54:[54, 65, 43, 22], Operations: []
Exploring Operation: 54+65=119, Resulting Numbers: [43, 22, 119]
Generated Node #2: [43, 22, 119] from Operation: 54+65=119
Current State: 54:[43, 22, 119], Operations: ['54+65=119']
Exploring Operation: 43+22=65, Resulting Numbers: [119, 65]
Generated Node #3: [119, 65] from Operation: 43+22=65
Current State: 54:[119, 65], Operations: ['54+65=119', '43+22=65']
Exploring Operation: 119-65=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
56,
29,
96,
28
] | 96 | [
"56-29=27",
"28-27=1",
"96*1=96"
] | Current State: 96:[56, 29, 96, 28], Operations: []
Exploring Operation: 56-29=27, Resulting Numbers: [96, 28, 27]
Generated Node #2: [96, 28, 27] from Operation: 56-29=27
Current State: 96:[96, 28, 27], Operations: ['56-29=27']
Exploring Operation: 28-27=1, Resulting Numbers: [96, 1]
Generated Node #3: [96, 1] from Operation: 28-27=1
Current State: 96:[96, 1], Operations: ['56-29=27', '28-27=1']
Exploring Operation: 96*1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
96,
62,
22,
61
] | 75 | [
"96+62=158",
"22+61=83",
"158-83=75"
] | Current State: 75:[96, 62, 22, 61], Operations: []
Exploring Operation: 96+62=158, Resulting Numbers: [22, 61, 158]
Generated Node #2: [22, 61, 158] from Operation: 96+62=158
Current State: 75:[22, 61, 158], Operations: ['96+62=158']
Exploring Operation: 22+61=83, Resulting Numbers: [158, 83]
Generated Node #3: [158, 83] from Operation: 22+61=83
Current State: 75:[158, 83], Operations: ['96+62=158', '22+61=83']
Exploring Operation: 158-83=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
32,
19,
26,
27
] | 25 | [
"32-19=13",
"26/13=2",
"27-2=25"
] | Current State: 25:[32, 19, 26, 27], Operations: []
Exploring Operation: 32-19=13, Resulting Numbers: [26, 27, 13]
Generated Node #2: [26, 27, 13] from Operation: 32-19=13
Current State: 25:[26, 27, 13], Operations: ['32-19=13']
Exploring Operation: 26/13=2, Resulting Numbers: [27, 2]
Generated Node #3: [27, 2] from Operation: 26/13=2
Current State: 25:[27, 2], Operations: ['32-19=13', '26/13=2']
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
75,
97,
86,
41
] | 43 | [
"75+97=172",
"172/86=2",
"41+2=43"
] | Current State: 43:[75, 97, 86, 41], Operations: []
Exploring Operation: 75+97=172, Resulting Numbers: [86, 41, 172]
Generated Node #2: [86, 41, 172] from Operation: 75+97=172
Current State: 43:[86, 41, 172], Operations: ['75+97=172']
Exploring Operation: 172/86=2, Resulting Numbers: [41, 2]
Generated Node #3: [41, 2] from Operation: 172/86=2
Current State: 43:[41, 2], Operations: ['75+97=172', '172/86=2']
Exploring Operation: 41+2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
43,
50,
97,
88
] | 84 | [
"43+50=93",
"97-88=9",
"93-9=84"
] | Current State: 84:[43, 50, 97, 88], Operations: []
Exploring Operation: 43+50=93, Resulting Numbers: [97, 88, 93]
Generated Node #2: [97, 88, 93] from Operation: 43+50=93
Current State: 84:[97, 88, 93], Operations: ['43+50=93']
Exploring Operation: 97-88=9, Resulting Numbers: [93, 9]
Generated Node #3: [93, 9] from Operation: 97-88=9
Current State: 84:[93, 9], Operations: ['43+50=93', '97-88=9']
Exploring Operation: 93-9=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
25,
94,
61,
38
] | 92 | [
"94-25=69",
"61-38=23",
"69+23=92"
] | Current State: 92:[25, 94, 61, 38], Operations: []
Exploring Operation: 94-25=69, Resulting Numbers: [61, 38, 69]
Generated Node #2: [61, 38, 69] from Operation: 94-25=69
Current State: 92:[61, 38, 69], Operations: ['94-25=69']
Exploring Operation: 61-38=23, Resulting Numbers: [69, 23]
Generated Node #3: [69, 23] from Operation: 61-38=23
Current State: 92:[69, 23], Operations: ['94-25=69', '61-38=23']
Exploring Operation: 69+23=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
3,
6,
13,
91
] | 34 | [
"6+13=19",
"3*19=57",
"91-57=34"
] | Current State: 34:[3, 6, 13, 91], Operations: []
Exploring Operation: 6+13=19, Resulting Numbers: [3, 91, 19]
Generated Node #2: [3, 91, 19] from Operation: 6+13=19
Current State: 34:[3, 91, 19], Operations: ['6+13=19']
Exploring Operation: 3*19=57, Resulting Numbers: [91, 57]
Generated Node #3: [91, 57] from Operation: 3*19=57
Current State: 34:[91, 57], Operations: ['6+13=19', '3*19=57']
Exploring Operation: 91-57=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
32,
57,
11,
13
] | 20 | [
"57*11=627",
"13+627=640",
"640/32=20"
] | Current State: 20:[32, 57, 11, 13], Operations: []
Exploring Operation: 57*11=627, Resulting Numbers: [32, 13, 627]
Generated Node #2: [32, 13, 627] from Operation: 57*11=627
Current State: 20:[32, 13, 627], Operations: ['57*11=627']
Exploring Operation: 13+627=640, Resulting Numbers: [32, 640]
Generated Node #3: [32, 640] from Operation: 13+627=640
Current State: 20:[32, 640], Operations: ['57*11=627', '13+627=640']
Exploring Operation: 640/32=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
60,
63,
70,
18
] | 64 | [
"63-60=3",
"18/3=6",
"70-6=64"
] | Current State: 64:[60, 63, 70, 18], Operations: []
Exploring Operation: 63-60=3, Resulting Numbers: [70, 18, 3]
Generated Node #2: [70, 18, 3] from Operation: 63-60=3
Current State: 64:[70, 18, 3], Operations: ['63-60=3']
Exploring Operation: 18/3=6, Resulting Numbers: [70, 6]
Generated Node #3: [70, 6] from Operation: 18/3=6
Current State: 64:[70, 6], Operations: ['63-60=3', '18/3=6']
Exploring Operation: 70-6=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
51,
35,
49,
18
] | 83 | [
"51-35=16",
"49+18=67",
"16+67=83"
] | Current State: 83:[51, 35, 49, 18], Operations: []
Exploring Operation: 51-35=16, Resulting Numbers: [49, 18, 16]
Generated Node #2: [49, 18, 16] from Operation: 51-35=16
Current State: 83:[49, 18, 16], Operations: ['51-35=16']
Exploring Operation: 49+18=67, Resulting Numbers: [16, 67]
Generated Node #3: [16, 67] from Operation: 49+18=67
Current State: 83:[16, 67], Operations: ['51-35=16', '49+18=67']
Exploring Operation: 16+67=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
51,
50,
85,
71
] | 14 | [
"51-50=1",
"85-71=14",
"1*14=14"
] | Current State: 14:[51, 50, 85, 71], Operations: []
Exploring Operation: 51-50=1, Resulting Numbers: [85, 71, 1]
Generated Node #2: [85, 71, 1] from Operation: 51-50=1
Current State: 14:[85, 71, 1], Operations: ['51-50=1']
Exploring Operation: 85-71=14, Resulting Numbers: [1, 14]
Generated Node #3: [1, 14] from Operation: 85-71=14
Current State: 14:[1, 14], Operations: ['51-50=1', '85-71=14']
Exploring Operation: 1*14=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
20,
75,
13,
21
] | 85 | [
"21-13=8",
"20*8=160",
"160-75=85"
] | Current State: 85:[20, 75, 13, 21], Operations: []
Exploring Operation: 21-13=8, Resulting Numbers: [20, 75, 8]
Generated Node #2: [20, 75, 8] from Operation: 21-13=8
Current State: 85:[20, 75, 8], Operations: ['21-13=8']
Exploring Operation: 20*8=160, Resulting Numbers: [75, 160]
Generated Node #3: [75, 160] from Operation: 20*8=160
Current State: 85:[75, 160], Operations: ['21-13=8', '20*8=160']
Exploring Operation: 160-75=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
16,
89,
66,
84
] | 55 | [
"89-16=73",
"84-66=18",
"73-18=55"
] | Current State: 55:[16, 89, 66, 84], Operations: []
Exploring Operation: 89-16=73, Resulting Numbers: [66, 84, 73]
Generated Node #2: [66, 84, 73] from Operation: 89-16=73
Current State: 55:[66, 84, 73], Operations: ['89-16=73']
Exploring Operation: 84-66=18, Resulting Numbers: [73, 18]
Generated Node #3: [73, 18] from Operation: 84-66=18
Current State: 55:[73, 18], Operations: ['89-16=73', '84-66=18']
Exploring Operation: 73-18=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
1,
65,
65,
25
] | 25 | [
"1+65=66",
"66-65=1",
"25*1=25"
] | Current State: 25:[1, 65, 65, 25], Operations: []
Exploring Operation: 1+65=66, Resulting Numbers: [25, 66]
Generated Node #2: [25, 66] from Operation: 1+65=66
Current State: 25:[25, 66], Operations: ['1+65=66']
Exploring Operation: 66-65=1, Resulting Numbers: [25, 1]
Generated Node #3: [25, 1] from Operation: 66-65=1
Current State: 25:[25, 1], Operations: ['1+65=66', '66-65=1']
Exploring Operation: 25*1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
6,
15,
58,
33
] | 55 | [
"33-15=18",
"18/6=3",
"58-3=55"
] | Current State: 55:[6, 15, 58, 33], Operations: []
Exploring Operation: 33-15=18, Resulting Numbers: [6, 58, 18]
Generated Node #2: [6, 58, 18] from Operation: 33-15=18
Current State: 55:[6, 58, 18], Operations: ['33-15=18']
Exploring Operation: 18/6=3, Resulting Numbers: [58, 3]
Generated Node #3: [58, 3] from Operation: 18/6=3
Current State: 55:[58, 3], Operations: ['33-15=18', '18/6=3']
Exploring Operation: 58-3=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
1,
20,
60,
80
] | 82 | [
"80-1=79",
"60/20=3",
"79+3=82"
] | Current State: 82:[1, 20, 60, 80], Operations: []
Exploring Operation: 80-1=79, Resulting Numbers: [20, 60, 79]
Generated Node #2: [20, 60, 79] from Operation: 80-1=79
Current State: 82:[20, 60, 79], Operations: ['80-1=79']
Exploring Operation: 60/20=3, Resulting Numbers: [79, 3]
Generated Node #3: [79, 3] from Operation: 60/20=3
Current State: 82:[79, 3], Operations: ['80-1=79', '60/20=3']
Exploring Operation: 79+3=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
48,
22,
5,
7
] | 50 | [
"48+22=70",
"5*70=350",
"350/7=50"
] | Current State: 50:[48, 22, 5, 7], Operations: []
Exploring Operation: 48+22=70, Resulting Numbers: [5, 7, 70]
Generated Node #2: [5, 7, 70] from Operation: 48+22=70
Current State: 50:[5, 7, 70], Operations: ['48+22=70']
Exploring Operation: 5*70=350, Resulting Numbers: [7, 350]
Generated Node #3: [7, 350] from Operation: 5*70=350
Current State: 50:[7, 350], Operations: ['48+22=70', '5*70=350']
Exploring Operation: 350/7=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
87,
85,
30,
45
] | 73 | [
"87-85=2",
"30+45=75",
"75-2=73"
] | Current State: 73:[87, 85, 30, 45], Operations: []
Exploring Operation: 87-85=2, Resulting Numbers: [30, 45, 2]
Generated Node #2: [30, 45, 2] from Operation: 87-85=2
Current State: 73:[30, 45, 2], Operations: ['87-85=2']
Exploring Operation: 30+45=75, Resulting Numbers: [2, 75]
Generated Node #3: [2, 75] from Operation: 30+45=75
Current State: 73:[2, 75], Operations: ['87-85=2', '30+45=75']
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
2,
53,
3,
73
] | 48 | [
"53-3=50",
"50/2=25",
"73-25=48"
] | Current State: 48:[2, 53, 3, 73], Operations: []
Exploring Operation: 53-3=50, Resulting Numbers: [2, 73, 50]
Generated Node #2: [2, 73, 50] from Operation: 53-3=50
Current State: 48:[2, 73, 50], Operations: ['53-3=50']
Exploring Operation: 50/2=25, Resulting Numbers: [73, 25]
Generated Node #3: [73, 25] from Operation: 50/2=25
Current State: 48:[73, 25], Operations: ['53-3=50', '50/2=25']
Exploring Operation: 73-25=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
15,
45,
46,
55
] | 27 | [
"45/15=3",
"55-46=9",
"3*9=27"
] | Current State: 27:[15, 45, 46, 55], Operations: []
Exploring Operation: 45/15=3, Resulting Numbers: [46, 55, 3]
Generated Node #2: [46, 55, 3] from Operation: 45/15=3
Current State: 27:[46, 55, 3], Operations: ['45/15=3']
Exploring Operation: 55-46=9, Resulting Numbers: [3, 9]
Generated Node #3: [3, 9] from Operation: 55-46=9
Current State: 27:[3, 9], Operations: ['45/15=3', '55-46=9']
Exploring Operation: 3*9=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
65,
96,
51,
98
] | 78 | [
"96-65=31",
"98-51=47",
"31+47=78"
] | Current State: 78:[65, 96, 51, 98], Operations: []
Exploring Operation: 96-65=31, Resulting Numbers: [51, 98, 31]
Generated Node #2: [51, 98, 31] from Operation: 96-65=31
Current State: 78:[51, 98, 31], Operations: ['96-65=31']
Exploring Operation: 98-51=47, Resulting Numbers: [31, 47]
Generated Node #3: [31, 47] from Operation: 98-51=47
Current State: 78:[31, 47], Operations: ['96-65=31', '98-51=47']
Exploring Operation: 31+47=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
77,
5,
24,
53
] | 96 | [
"77-53=24",
"5*24=120",
"120-24=96"
] | Current State: 96:[77, 5, 24, 53], Operations: []
Exploring Operation: 77-53=24, Resulting Numbers: [5, 24, 24]
Generated Node #2: [5, 24, 24] from Operation: 77-53=24
Current State: 96:[5, 24, 24], Operations: ['77-53=24']
Exploring Operation: 5*24=120, Resulting Numbers: [120]
120,96 equal: Goal Reached
Exploring Operation: 120-24=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
76,
39,
37,
8
] | 82 | [
"76-39=37",
"37+8=45",
"37+45=82"
] | Current State: 82:[76, 39, 37, 8], Operations: []
Exploring Operation: 76-39=37, Resulting Numbers: [37, 8, 37]
Generated Node #2: [37, 8, 37] from Operation: 76-39=37
Current State: 82:[37, 8, 37], Operations: ['76-39=37']
Exploring Operation: 37+8=45, Resulting Numbers: [45]
45,82 equal: Goal Reached
Exploring Operation: 37+45=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
61,
18,
88,
2
] | 56 | [
"88+2=90",
"90/18=5",
"61-5=56"
] | Current State: 56:[61, 18, 88, 2], Operations: []
Exploring Operation: 88+2=90, Resulting Numbers: [61, 18, 90]
Generated Node #2: [61, 18, 90] from Operation: 88+2=90
Current State: 56:[61, 18, 90], Operations: ['88+2=90']
Exploring Operation: 90/18=5, Resulting Numbers: [61, 5]
Generated Node #3: [61, 5] from Operation: 90/18=5
Current State: 56:[61, 5], Operations: ['88+2=90', '90/18=5']
Exploring Operation: 61-5=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
60,
37,
70,
76
] | 47 | [
"76-70=6",
"60/6=10",
"37+10=47"
] | Current State: 47:[60, 37, 70, 76], Operations: []
Exploring Operation: 76-70=6, Resulting Numbers: [60, 37, 6]
Generated Node #2: [60, 37, 6] from Operation: 76-70=6
Current State: 47:[60, 37, 6], Operations: ['76-70=6']
Exploring Operation: 60/6=10, Resulting Numbers: [37, 10]
Generated Node #3: [37, 10] from Operation: 60/6=10
Current State: 47:[37, 10], Operations: ['76-70=6', '60/6=10']
Exploring Operation: 37+10=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
64,
79,
68,
31
] | 84 | [
"79-64=15",
"68+31=99",
"99-15=84"
] | Current State: 84:[64, 79, 68, 31], Operations: []
Exploring Operation: 79-64=15, Resulting Numbers: [68, 31, 15]
Generated Node #2: [68, 31, 15] from Operation: 79-64=15
Current State: 84:[68, 31, 15], Operations: ['79-64=15']
Exploring Operation: 68+31=99, Resulting Numbers: [15, 99]
Generated Node #3: [15, 99] from Operation: 68+31=99
Current State: 84:[15, 99], Operations: ['79-64=15', '68+31=99']
Exploring Operation: 99-15=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
44,
93,
42,
10
] | 17 | [
"93-44=49",
"42-10=32",
"49-32=17"
] | Current State: 17:[44, 93, 42, 10], Operations: []
Exploring Operation: 93-44=49, Resulting Numbers: [42, 10, 49]
Generated Node #2: [42, 10, 49] from Operation: 93-44=49
Current State: 17:[42, 10, 49], Operations: ['93-44=49']
Exploring Operation: 42-10=32, Resulting Numbers: [49, 32]
Generated Node #3: [49, 32] from Operation: 42-10=32
Current State: 17:[49, 32], Operations: ['93-44=49', '42-10=32']
Exploring Operation: 49-32=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
61,
53,
8,
8
] | 72 | [
"61-53=8",
"8*8=64",
"8+64=72"
] | Current State: 72:[61, 53, 8, 8], Operations: []
Exploring Operation: 61-53=8, Resulting Numbers: [8, 8, 8]
Generated Node #2: [8, 8, 8] from Operation: 61-53=8
Current State: 72:[8, 8, 8], Operations: ['61-53=8']
Exploring Operation: 8*8=64, Resulting Numbers: [64]
64,72 equal: Goal Reached
Exploring Operation: 8+64=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
32,
2,
63,
3
] | 97 | [
"32-3=29",
"2*63=126",
"126-29=97"
] | Current State: 97:[32, 2, 63, 3], Operations: []
Exploring Operation: 32-3=29, Resulting Numbers: [2, 63, 29]
Generated Node #2: [2, 63, 29] from Operation: 32-3=29
Current State: 97:[2, 63, 29], Operations: ['32-3=29']
Exploring Operation: 2*63=126, Resulting Numbers: [29, 126]
Generated Node #3: [29, 126] from Operation: 2*63=126
Current State: 97:[29, 126], Operations: ['32-3=29', '2*63=126']
Exploring Operation: 126-29=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
83,
80,
58,
47
] | 33 | [
"83-80=3",
"58-47=11",
"3*11=33"
] | Current State: 33:[83, 80, 58, 47], Operations: []
Exploring Operation: 83-80=3, Resulting Numbers: [58, 47, 3]
Generated Node #2: [58, 47, 3] from Operation: 83-80=3
Current State: 33:[58, 47, 3], Operations: ['83-80=3']
Exploring Operation: 58-47=11, Resulting Numbers: [3, 11]
Generated Node #3: [3, 11] from Operation: 58-47=11
Current State: 33:[3, 11], Operations: ['83-80=3', '58-47=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
10,
3,
83,
39
] | 14 | [
"10*3=30",
"83-39=44",
"44-30=14"
] | Current State: 14:[10, 3, 83, 39], Operations: []
Exploring Operation: 10*3=30, Resulting Numbers: [83, 39, 30]
Generated Node #2: [83, 39, 30] from Operation: 10*3=30
Current State: 14:[83, 39, 30], Operations: ['10*3=30']
Exploring Operation: 83-39=44, Resulting Numbers: [30, 44]
Generated Node #3: [30, 44] from Operation: 83-39=44
Current State: 14:[30, 44], Operations: ['10*3=30', '83-39=44']
Exploring Operation: 44-30=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
49,
84,
44,
51
] | 27 | [
"49-44=5",
"84+51=135",
"135/5=27"
] | Current State: 27:[49, 84, 44, 51], Operations: []
Exploring Operation: 49-44=5, Resulting Numbers: [84, 51, 5]
Generated Node #2: [84, 51, 5] from Operation: 49-44=5
Current State: 27:[84, 51, 5], Operations: ['49-44=5']
Exploring Operation: 84+51=135, Resulting Numbers: [5, 135]
Generated Node #3: [5, 135] from Operation: 84+51=135
Current State: 27:[5, 135], Operations: ['49-44=5', '84+51=135']
Exploring Operation: 135/5=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
4,
52,
97,
14
] | 97 | [
"4*52=208",
"97+14=111",
"208-111=97"
] | Current State: 97:[4, 52, 97, 14], Operations: []
Exploring Operation: 4*52=208, Resulting Numbers: [97, 14, 208]
Generated Node #2: [97, 14, 208] from Operation: 4*52=208
Current State: 97:[97, 14, 208], Operations: ['4*52=208']
Exploring Operation: 97+14=111, Resulting Numbers: [208, 111]
Generated Node #3: [208, 111] from Operation: 97+14=111
Current State: 97:[208, 111], Operations: ['4*52=208', '97+14=111']
Exploring Operation: 208-111=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
16,
37,
5,
63
] | 89 | [
"37-16=21",
"5+63=68",
"21+68=89"
] | Current State: 89:[16, 37, 5, 63], Operations: []
Exploring Operation: 37-16=21, Resulting Numbers: [5, 63, 21]
Generated Node #2: [5, 63, 21] from Operation: 37-16=21
Current State: 89:[5, 63, 21], Operations: ['37-16=21']
Exploring Operation: 5+63=68, Resulting Numbers: [21, 68]
Generated Node #3: [21, 68] from Operation: 5+63=68
Current State: 89:[21, 68], Operations: ['37-16=21', '5+63=68']
Exploring Operation: 21+68=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
38,
43,
70,
66
] | 20 | [
"43-38=5",
"70-66=4",
"5*4=20"
] | Current State: 20:[38, 43, 70, 66], Operations: []
Exploring Operation: 43-38=5, Resulting Numbers: [70, 66, 5]
Generated Node #2: [70, 66, 5] from Operation: 43-38=5
Current State: 20:[70, 66, 5], Operations: ['43-38=5']
Exploring Operation: 70-66=4, Resulting Numbers: [5, 4]
Generated Node #3: [5, 4] from Operation: 70-66=4
Current State: 20:[5, 4], Operations: ['43-38=5', '70-66=4']
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
40,
88,
93,
91
] | 64 | [
"40+88=128",
"93-91=2",
"128/2=64"
] | Current State: 64:[40, 88, 93, 91], Operations: []
Exploring Operation: 40+88=128, Resulting Numbers: [93, 91, 128]
Generated Node #2: [93, 91, 128] from Operation: 40+88=128
Current State: 64:[93, 91, 128], Operations: ['40+88=128']
Exploring Operation: 93-91=2, Resulting Numbers: [128, 2]
Generated Node #3: [128, 2] from Operation: 93-91=2
Current State: 64:[128, 2], Operations: ['40+88=128', '93-91=2']
Exploring Operation: 128/2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
74,
30,
89,
75
] | 35 | [
"89-74=15",
"75/15=5",
"30+5=35"
] | Current State: 35:[74, 30, 89, 75], Operations: []
Exploring Operation: 89-74=15, Resulting Numbers: [30, 75, 15]
Generated Node #2: [30, 75, 15] from Operation: 89-74=15
Current State: 35:[30, 75, 15], Operations: ['89-74=15']
Exploring Operation: 75/15=5, Resulting Numbers: [30, 5]
Generated Node #3: [30, 5] from Operation: 75/15=5
Current State: 35:[30, 5], Operations: ['89-74=15', '75/15=5']
Exploring Operation: 30+5=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
93,
21,
56,
4
] | 38 | [
"93-21=72",
"72/4=18",
"56-18=38"
] | Current State: 38:[93, 21, 56, 4], Operations: []
Exploring Operation: 93-21=72, Resulting Numbers: [56, 4, 72]
Generated Node #2: [56, 4, 72] from Operation: 93-21=72
Current State: 38:[56, 4, 72], Operations: ['93-21=72']
Exploring Operation: 72/4=18, Resulting Numbers: [56, 18]
Generated Node #3: [56, 18] from Operation: 72/4=18
Current State: 38:[56, 18], Operations: ['93-21=72', '72/4=18']
Exploring Operation: 56-18=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
17,
10,
82,
9
] | 97 | [
"17*10=170",
"82-9=73",
"170-73=97"
] | Current State: 97:[17, 10, 82, 9], Operations: []
Exploring Operation: 17*10=170, Resulting Numbers: [82, 9, 170]
Generated Node #2: [82, 9, 170] from Operation: 17*10=170
Current State: 97:[82, 9, 170], Operations: ['17*10=170']
Exploring Operation: 82-9=73, Resulting Numbers: [170, 73]
Generated Node #3: [170, 73] from Operation: 82-9=73
Current State: 97:[170, 73], Operations: ['17*10=170', '82-9=73']
Exploring Operation: 170-73=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
52,
35,
68,
74
] | 81 | [
"52+35=87",
"74-68=6",
"87-6=81"
] | Current State: 81:[52, 35, 68, 74], Operations: []
Exploring Operation: 52+35=87, Resulting Numbers: [68, 74, 87]
Generated Node #2: [68, 74, 87] from Operation: 52+35=87
Current State: 81:[68, 74, 87], Operations: ['52+35=87']
Exploring Operation: 74-68=6, Resulting Numbers: [87, 6]
Generated Node #3: [87, 6] from Operation: 74-68=6
Current State: 81:[87, 6], Operations: ['52+35=87', '74-68=6']
Exploring Operation: 87-6=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
31,
38,
1,
21
] | 29 | [
"38-31=7",
"1+21=22",
"7+22=29"
] | Current State: 29:[31, 38, 1, 21], Operations: []
Exploring Operation: 38-31=7, Resulting Numbers: [1, 21, 7]
Generated Node #2: [1, 21, 7] from Operation: 38-31=7
Current State: 29:[1, 21, 7], Operations: ['38-31=7']
Exploring Operation: 1+21=22, Resulting Numbers: [7, 22]
Generated Node #3: [7, 22] from Operation: 1+21=22
Current State: 29:[7, 22], Operations: ['38-31=7', '1+21=22']
Exploring Operation: 7+22=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
29,
9,
34,
31
] | 16 | [
"31-29=2",
"9*2=18",
"34-18=16"
] | Current State: 16:[29, 9, 34, 31], Operations: []
Exploring Operation: 31-29=2, Resulting Numbers: [9, 34, 2]
Generated Node #2: [9, 34, 2] from Operation: 31-29=2
Current State: 16:[9, 34, 2], Operations: ['31-29=2']
Exploring Operation: 9*2=18, Resulting Numbers: [34, 18]
Generated Node #3: [34, 18] from Operation: 9*2=18
Current State: 16:[34, 18], Operations: ['31-29=2', '9*2=18']
Exploring Operation: 34-18=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
65,
71,
50,
5
] | 80 | [
"71-65=6",
"5*6=30",
"50+30=80"
] | Current State: 80:[65, 71, 50, 5], Operations: []
Exploring Operation: 71-65=6, Resulting Numbers: [50, 5, 6]
Generated Node #2: [50, 5, 6] from Operation: 71-65=6
Current State: 80:[50, 5, 6], Operations: ['71-65=6']
Exploring Operation: 5*6=30, Resulting Numbers: [50, 30]
Generated Node #3: [50, 30] from Operation: 5*6=30
Current State: 80:[50, 30], Operations: ['71-65=6', '5*6=30']
Exploring Operation: 50+30=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
8,
68,
66,
28
] | 38 | [
"8+68=76",
"66-28=38",
"76-38=38"
] | Current State: 38:[8, 68, 66, 28], Operations: []
Exploring Operation: 8+68=76, Resulting Numbers: [66, 28, 76]
Generated Node #2: [66, 28, 76] from Operation: 8+68=76
Current State: 38:[66, 28, 76], Operations: ['8+68=76']
Exploring Operation: 66-28=38, Resulting Numbers: [76, 38]
Generated Node #3: [76, 38] from Operation: 66-28=38
Current State: 38:[76, 38], Operations: ['8+68=76', '66-28=38']
Exploring Operation: 76-38=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
4,
40,
50,
41
] | 76 | [
"50-41=9",
"4*9=36",
"40+36=76"
] | Current State: 76:[4, 40, 50, 41], Operations: []
Exploring Operation: 50-41=9, Resulting Numbers: [4, 40, 9]
Generated Node #2: [4, 40, 9] from Operation: 50-41=9
Current State: 76:[4, 40, 9], Operations: ['50-41=9']
Exploring Operation: 4*9=36, Resulting Numbers: [40, 36]
Generated Node #3: [40, 36] from Operation: 4*9=36
Current State: 76:[40, 36], Operations: ['50-41=9', '4*9=36']
Exploring Operation: 40+36=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
32,
12,
23,
6
] | 57 | [
"32+23=55",
"12/6=2",
"55+2=57"
] | Current State: 57:[32, 12, 23, 6], Operations: []
Exploring Operation: 32+23=55, Resulting Numbers: [12, 6, 55]
Generated Node #2: [12, 6, 55] from Operation: 32+23=55
Current State: 57:[12, 6, 55], Operations: ['32+23=55']
Exploring Operation: 12/6=2, Resulting Numbers: [55, 2]
Generated Node #3: [55, 2] from Operation: 12/6=2
Current State: 57:[55, 2], Operations: ['32+23=55', '12/6=2']
Exploring Operation: 55+2=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
14,
19,
43,
90
] | 47 | [
"90-14=76",
"76/19=4",
"43+4=47"
] | Current State: 47:[14, 19, 43, 90], Operations: []
Exploring Operation: 90-14=76, Resulting Numbers: [19, 43, 76]
Generated Node #2: [19, 43, 76] from Operation: 90-14=76
Current State: 47:[19, 43, 76], Operations: ['90-14=76']
Exploring Operation: 76/19=4, Resulting Numbers: [43, 4]
Generated Node #3: [43, 4] from Operation: 76/19=4
Current State: 47:[43, 4], Operations: ['90-14=76', '76/19=4']
Exploring Operation: 43+4=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
27,
17,
48,
94
] | 56 | [
"27-17=10",
"94-48=46",
"10+46=56"
] | Current State: 56:[27, 17, 48, 94], Operations: []
Exploring Operation: 27-17=10, Resulting Numbers: [48, 94, 10]
Generated Node #2: [48, 94, 10] from Operation: 27-17=10
Current State: 56:[48, 94, 10], Operations: ['27-17=10']
Exploring Operation: 94-48=46, Resulting Numbers: [10, 46]
Generated Node #3: [10, 46] from Operation: 94-48=46
Current State: 56:[10, 46], Operations: ['27-17=10', '94-48=46']
Exploring Operation: 10+46=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
62,
85,
10,
85
] | 45 | [
"85+85=170",
"170/10=17",
"62-17=45"
] | Current State: 45:[62, 85, 10, 85], Operations: []
Exploring Operation: 85+85=170, Resulting Numbers: [62, 10, 170]
Generated Node #2: [62, 10, 170] from Operation: 85+85=170
Current State: 45:[62, 10, 170], Operations: ['85+85=170']
Exploring Operation: 170/10=17, Resulting Numbers: [62, 17]
Generated Node #3: [62, 17] from Operation: 170/10=17
Current State: 45:[62, 17], Operations: ['85+85=170', '170/10=17']
Exploring Operation: 62-17=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
59,
64,
25,
2
] | 32 | [
"64-59=5",
"25+2=27",
"5+27=32"
] | Current State: 32:[59, 64, 25, 2], Operations: []
Exploring Operation: 64-59=5, Resulting Numbers: [25, 2, 5]
Generated Node #2: [25, 2, 5] from Operation: 64-59=5
Current State: 32:[25, 2, 5], Operations: ['64-59=5']
Exploring Operation: 25+2=27, Resulting Numbers: [5, 27]
Generated Node #3: [5, 27] from Operation: 25+2=27
Current State: 32:[5, 27], Operations: ['64-59=5', '25+2=27']
Exploring Operation: 5+27=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
34,
44,
2,
16
] | 92 | [
"34+44=78",
"16-2=14",
"78+14=92"
] | Current State: 92:[34, 44, 2, 16], Operations: []
Exploring Operation: 34+44=78, Resulting Numbers: [2, 16, 78]
Generated Node #2: [2, 16, 78] from Operation: 34+44=78
Current State: 92:[2, 16, 78], Operations: ['34+44=78']
Exploring Operation: 16-2=14, Resulting Numbers: [78, 14]
Generated Node #3: [78, 14] from Operation: 16-2=14
Current State: 92:[78, 14], Operations: ['34+44=78', '16-2=14']
Exploring Operation: 78+14=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
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