nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
42,
52,
98,
26
] | 28 | [
"98-42=56",
"52/26=2",
"56/2=28"
] | Current State: 28:[42, 52, 98, 26], Operations: []
Exploring Operation: 98-42=56, Resulting Numbers: [52, 26, 56]
Generated Node #2: [52, 26, 56] from Operation: 98-42=56
Current State: 28:[52, 26, 56], Operations: ['98-42=56']
Exploring Operation: 52/26=2, Resulting Numbers: [56, 2]
Generated Node #3: [56, 2] from Operation: 52/26=2
Current State: 28:[56, 2], Operations: ['98-42=56', '52/26=2']
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
11,
30,
18,
71
] | 12 | [
"11+30=41",
"71-18=53",
"53-41=12"
] | Current State: 12:[11, 30, 18, 71], Operations: []
Exploring Operation: 11+30=41, Resulting Numbers: [18, 71, 41]
Generated Node #2: [18, 71, 41] from Operation: 11+30=41
Current State: 12:[18, 71, 41], Operations: ['11+30=41']
Exploring Operation: 71-18=53, Resulting Numbers: [41, 53]
Generated Node #3: [41, 53] from Operation: 71-18=53
Current State: 12:[41, 53], Operations: ['11+30=41', '71-18=53']
Exploring Operation: 53-41=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
79,
33,
3,
51
] | 87 | [
"79-33=46",
"3*46=138",
"138-51=87"
] | Current State: 87:[79, 33, 3, 51], Operations: []
Exploring Operation: 79-33=46, Resulting Numbers: [3, 51, 46]
Generated Node #2: [3, 51, 46] from Operation: 79-33=46
Current State: 87:[3, 51, 46], Operations: ['79-33=46']
Exploring Operation: 3*46=138, Resulting Numbers: [51, 138]
Generated Node #3: [51, 138] from Operation: 3*46=138
Current State: 87:[51, 138], Operations: ['79-33=46', '3*46=138']
Exploring Operation: 138-51=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
1,
3,
6,
88
] | 79 | [
"1*3=3",
"88-6=82",
"82-3=79"
] | Current State: 79:[1, 3, 6, 88], Operations: []
Exploring Operation: 1*3=3, Resulting Numbers: [6, 88, 3]
Generated Node #2: [6, 88, 3] from Operation: 1*3=3
Current State: 79:[6, 88, 3], Operations: ['1*3=3']
Exploring Operation: 88-6=82, Resulting Numbers: [3, 82]
Generated Node #3: [3, 82] from Operation: 88-6=82
Current State: 79:[3, 82], Operations: ['1*3=3', '88-6=82']
Exploring Operation: 82-3=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
92,
75,
37,
59
] | 71 | [
"92+75=167",
"37+59=96",
"167-96=71"
] | Current State: 71:[92, 75, 37, 59], Operations: []
Exploring Operation: 92+75=167, Resulting Numbers: [37, 59, 167]
Generated Node #2: [37, 59, 167] from Operation: 92+75=167
Current State: 71:[37, 59, 167], Operations: ['92+75=167']
Exploring Operation: 37+59=96, Resulting Numbers: [167, 96]
Generated Node #3: [167, 96] from Operation: 37+59=96
Current State: 71:[167, 96], Operations: ['92+75=167', '37+59=96']
Exploring Operation: 167-96=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
36,
80,
8,
76
] | 16 | [
"76-36=40",
"80*8=640",
"640/40=16"
] | Current State: 16:[36, 80, 8, 76], Operations: []
Exploring Operation: 76-36=40, Resulting Numbers: [80, 8, 40]
Generated Node #2: [80, 8, 40] from Operation: 76-36=40
Current State: 16:[80, 8, 40], Operations: ['76-36=40']
Exploring Operation: 80*8=640, Resulting Numbers: [40, 640]
Generated Node #3: [40, 640] from Operation: 80*8=640
Current State: 16:[40, 640], Operations: ['76-36=40', '80*8=640']
Exploring Operation: 640/40=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
72,
87,
90,
31
] | 37 | [
"87-72=15",
"90/15=6",
"31+6=37"
] | Current State: 37:[72, 87, 90, 31], Operations: []
Exploring Operation: 87-72=15, Resulting Numbers: [90, 31, 15]
Generated Node #2: [90, 31, 15] from Operation: 87-72=15
Current State: 37:[90, 31, 15], Operations: ['87-72=15']
Exploring Operation: 90/15=6, Resulting Numbers: [31, 6]
Generated Node #3: [31, 6] from Operation: 90/15=6
Current State: 37:[31, 6], Operations: ['87-72=15', '90/15=6']
Exploring Operation: 31+6=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
97,
52,
12,
6
] | 47 | [
"97-52=45",
"12/6=2",
"45+2=47"
] | Current State: 47:[97, 52, 12, 6], Operations: []
Exploring Operation: 97-52=45, Resulting Numbers: [12, 6, 45]
Generated Node #2: [12, 6, 45] from Operation: 97-52=45
Current State: 47:[12, 6, 45], Operations: ['97-52=45']
Exploring Operation: 12/6=2, Resulting Numbers: [45, 2]
Generated Node #3: [45, 2] from Operation: 12/6=2
Current State: 47:[45, 2], Operations: ['97-52=45', '12/6=2']
Exploring Operation: 45+2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
44,
7,
92,
97
] | 56 | [
"44+7=51",
"97-92=5",
"51+5=56"
] | Current State: 56:[44, 7, 92, 97], Operations: []
Exploring Operation: 44+7=51, Resulting Numbers: [92, 97, 51]
Generated Node #2: [92, 97, 51] from Operation: 44+7=51
Current State: 56:[92, 97, 51], Operations: ['44+7=51']
Exploring Operation: 97-92=5, Resulting Numbers: [51, 5]
Generated Node #3: [51, 5] from Operation: 97-92=5
Current State: 56:[51, 5], Operations: ['44+7=51', '97-92=5']
Exploring Operation: 51+5=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
31,
16,
10,
27
] | 64 | [
"31+16=47",
"27-10=17",
"47+17=64"
] | Current State: 64:[31, 16, 10, 27], Operations: []
Exploring Operation: 31+16=47, Resulting Numbers: [10, 27, 47]
Generated Node #2: [10, 27, 47] from Operation: 31+16=47
Current State: 64:[10, 27, 47], Operations: ['31+16=47']
Exploring Operation: 27-10=17, Resulting Numbers: [47, 17]
Generated Node #3: [47, 17] from Operation: 27-10=17
Current State: 64:[47, 17], Operations: ['31+16=47', '27-10=17']
Exploring Operation: 47+17=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
57,
54,
14,
81
] | 92 | [
"57-54=3",
"14+81=95",
"95-3=92"
] | Current State: 92:[57, 54, 14, 81], Operations: []
Exploring Operation: 57-54=3, Resulting Numbers: [14, 81, 3]
Generated Node #2: [14, 81, 3] from Operation: 57-54=3
Current State: 92:[14, 81, 3], Operations: ['57-54=3']
Exploring Operation: 14+81=95, Resulting Numbers: [3, 95]
Generated Node #3: [3, 95] from Operation: 14+81=95
Current State: 92:[3, 95], Operations: ['57-54=3', '14+81=95']
Exploring Operation: 95-3=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
94,
59,
50,
54
] | 84 | [
"59-54=5",
"50/5=10",
"94-10=84"
] | Current State: 84:[94, 59, 50, 54], Operations: []
Exploring Operation: 59-54=5, Resulting Numbers: [94, 50, 5]
Generated Node #2: [94, 50, 5] from Operation: 59-54=5
Current State: 84:[94, 50, 5], Operations: ['59-54=5']
Exploring Operation: 50/5=10, Resulting Numbers: [94, 10]
Generated Node #3: [94, 10] from Operation: 50/5=10
Current State: 84:[94, 10], Operations: ['59-54=5', '50/5=10']
Exploring Operation: 94-10=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
20,
82,
5,
55
] | 52 | [
"20+82=102",
"55-5=50",
"102-50=52"
] | Current State: 52:[20, 82, 5, 55], Operations: []
Exploring Operation: 20+82=102, Resulting Numbers: [5, 55, 102]
Generated Node #2: [5, 55, 102] from Operation: 20+82=102
Current State: 52:[5, 55, 102], Operations: ['20+82=102']
Exploring Operation: 55-5=50, Resulting Numbers: [102, 50]
Generated Node #3: [102, 50] from Operation: 55-5=50
Current State: 52:[102, 50], Operations: ['20+82=102', '55-5=50']
Exploring Operation: 102-50=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
40,
33,
36,
21
] | 37 | [
"33-21=12",
"36/12=3",
"40-3=37"
] | Current State: 37:[40, 33, 36, 21], Operations: []
Exploring Operation: 33-21=12, Resulting Numbers: [40, 36, 12]
Generated Node #2: [40, 36, 12] from Operation: 33-21=12
Current State: 37:[40, 36, 12], Operations: ['33-21=12']
Exploring Operation: 36/12=3, Resulting Numbers: [40, 3]
Generated Node #3: [40, 3] from Operation: 36/12=3
Current State: 37:[40, 3], Operations: ['33-21=12', '36/12=3']
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
56,
53,
4,
38
] | 84 | [
"53+4=57",
"56*57=3192",
"3192/38=84"
] | Current State: 84:[56, 53, 4, 38], Operations: []
Exploring Operation: 53+4=57, Resulting Numbers: [56, 38, 57]
Generated Node #2: [56, 38, 57] from Operation: 53+4=57
Current State: 84:[56, 38, 57], Operations: ['53+4=57']
Exploring Operation: 56*57=3192, Resulting Numbers: [38, 3192]
Generated Node #3: [38, 3192] from Operation: 56*57=3192
Current State: 84:[38, 3192], Operations: ['53+4=57', '56*57=3192']
Exploring Operation: 3192/38=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
97,
93,
20,
42
] | 58 | [
"97-93=4",
"20+42=62",
"62-4=58"
] | Current State: 58:[97, 93, 20, 42], Operations: []
Exploring Operation: 97-93=4, Resulting Numbers: [20, 42, 4]
Generated Node #2: [20, 42, 4] from Operation: 97-93=4
Current State: 58:[20, 42, 4], Operations: ['97-93=4']
Exploring Operation: 20+42=62, Resulting Numbers: [4, 62]
Generated Node #3: [4, 62] from Operation: 20+42=62
Current State: 58:[4, 62], Operations: ['97-93=4', '20+42=62']
Exploring Operation: 62-4=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
60,
35,
47,
82
] | 77 | [
"47-35=12",
"60/12=5",
"82-5=77"
] | Current State: 77:[60, 35, 47, 82], Operations: []
Exploring Operation: 47-35=12, Resulting Numbers: [60, 82, 12]
Generated Node #2: [60, 82, 12] from Operation: 47-35=12
Current State: 77:[60, 82, 12], Operations: ['47-35=12']
Exploring Operation: 60/12=5, Resulting Numbers: [82, 5]
Generated Node #3: [82, 5] from Operation: 60/12=5
Current State: 77:[82, 5], Operations: ['47-35=12', '60/12=5']
Exploring Operation: 82-5=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
37,
50,
45,
5
] | 47 | [
"37+50=87",
"45-5=40",
"87-40=47"
] | Current State: 47:[37, 50, 45, 5], Operations: []
Exploring Operation: 37+50=87, Resulting Numbers: [45, 5, 87]
Generated Node #2: [45, 5, 87] from Operation: 37+50=87
Current State: 47:[45, 5, 87], Operations: ['37+50=87']
Exploring Operation: 45-5=40, Resulting Numbers: [87, 40]
Generated Node #3: [87, 40] from Operation: 45-5=40
Current State: 47:[87, 40], Operations: ['37+50=87', '45-5=40']
Exploring Operation: 87-40=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
17,
71,
34,
9
] | 78 | [
"34/17=2",
"71+9=80",
"80-2=78"
] | Current State: 78:[17, 71, 34, 9], Operations: []
Exploring Operation: 34/17=2, Resulting Numbers: [71, 9, 2]
Generated Node #2: [71, 9, 2] from Operation: 34/17=2
Current State: 78:[71, 9, 2], Operations: ['34/17=2']
Exploring Operation: 71+9=80, Resulting Numbers: [2, 80]
Generated Node #3: [2, 80] from Operation: 71+9=80
Current State: 78:[2, 80], Operations: ['34/17=2', '71+9=80']
Exploring Operation: 80-2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
83,
20,
54,
68
] | 49 | [
"83-20=63",
"68-54=14",
"63-14=49"
] | Current State: 49:[83, 20, 54, 68], Operations: []
Exploring Operation: 83-20=63, Resulting Numbers: [54, 68, 63]
Generated Node #2: [54, 68, 63] from Operation: 83-20=63
Current State: 49:[54, 68, 63], Operations: ['83-20=63']
Exploring Operation: 68-54=14, Resulting Numbers: [63, 14]
Generated Node #3: [63, 14] from Operation: 68-54=14
Current State: 49:[63, 14], Operations: ['83-20=63', '68-54=14']
Exploring Operation: 63-14=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
90,
76,
99,
36
] | 31 | [
"90+76=166",
"99+36=135",
"166-135=31"
] | Current State: 31:[90, 76, 99, 36], Operations: []
Exploring Operation: 90+76=166, Resulting Numbers: [99, 36, 166]
Generated Node #2: [99, 36, 166] from Operation: 90+76=166
Current State: 31:[99, 36, 166], Operations: ['90+76=166']
Exploring Operation: 99+36=135, Resulting Numbers: [166, 135]
Generated Node #3: [166, 135] from Operation: 99+36=135
Current State: 31:[166, 135], Operations: ['90+76=166', '99+36=135']
Exploring Operation: 166-135=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
77,
49,
77,
41
] | 80 | [
"77*77=5929",
"5929/49=121",
"121-41=80"
] | Current State: 80:[77, 49, 77, 41], Operations: []
Exploring Operation: 77*77=5929, Resulting Numbers: [49, 41, 5929]
Generated Node #2: [49, 41, 5929] from Operation: 77*77=5929
Current State: 80:[49, 41, 5929], Operations: ['77*77=5929']
Exploring Operation: 5929/49=121, Resulting Numbers: [41, 121]
Generated Node #3: [41, 121] from Operation: 5929/49=121
Current State: 80:[41, 121], Operations: ['77*77=5929', '5929/49=121']
Exploring Operation: 121-41=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
42,
26,
2,
22
] | 66 | [
"42-22=20",
"2*20=40",
"26+40=66"
] | Current State: 66:[42, 26, 2, 22], Operations: []
Exploring Operation: 42-22=20, Resulting Numbers: [26, 2, 20]
Generated Node #2: [26, 2, 20] from Operation: 42-22=20
Current State: 66:[26, 2, 20], Operations: ['42-22=20']
Exploring Operation: 2*20=40, Resulting Numbers: [26, 40]
Generated Node #3: [26, 40] from Operation: 2*20=40
Current State: 66:[26, 40], Operations: ['42-22=20', '2*20=40']
Exploring Operation: 26+40=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
33,
58,
41,
42
] | 91 | [
"33+58=91",
"42-41=1",
"91*1=91"
] | Current State: 91:[33, 58, 41, 42], Operations: []
Exploring Operation: 33+58=91, Resulting Numbers: [41, 42, 91]
Generated Node #2: [41, 42, 91] from Operation: 33+58=91
Current State: 91:[41, 42, 91], Operations: ['33+58=91']
Exploring Operation: 42-41=1, Resulting Numbers: [91, 1]
Generated Node #3: [91, 1] from Operation: 42-41=1
Current State: 91:[91, 1], Operations: ['33+58=91', '42-41=1']
Exploring Operation: 91*1=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
68,
18,
65,
54
] | 48 | [
"68-65=3",
"18/3=6",
"54-6=48"
] | Current State: 48:[68, 18, 65, 54], Operations: []
Exploring Operation: 68-65=3, Resulting Numbers: [18, 54, 3]
Generated Node #2: [18, 54, 3] from Operation: 68-65=3
Current State: 48:[18, 54, 3], Operations: ['68-65=3']
Exploring Operation: 18/3=6, Resulting Numbers: [54, 6]
Generated Node #3: [54, 6] from Operation: 18/3=6
Current State: 48:[54, 6], Operations: ['68-65=3', '18/3=6']
Exploring Operation: 54-6=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
91,
11,
16,
16
] | 80 | [
"91-11=80",
"16-16=0",
"80+0=80"
] | Current State: 80:[91, 11, 16, 16], Operations: []
Exploring Operation: 91-11=80, Resulting Numbers: [16, 16, 80]
Generated Node #2: [16, 16, 80] from Operation: 91-11=80
Current State: 80:[16, 16, 80], Operations: ['91-11=80']
Exploring Operation: 16-16=0, Resulting Numbers: [80, 0]
Generated Node #3: [80, 0] from Operation: 16-16=0
Current State: 80:[80, 0], Operations: ['91-11=80', '16-16=0']
Exploring Operation: 80+0=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
26,
70,
40,
69
] | 64 | [
"40-26=14",
"70/14=5",
"69-5=64"
] | Current State: 64:[26, 70, 40, 69], Operations: []
Exploring Operation: 40-26=14, Resulting Numbers: [70, 69, 14]
Generated Node #2: [70, 69, 14] from Operation: 40-26=14
Current State: 64:[70, 69, 14], Operations: ['40-26=14']
Exploring Operation: 70/14=5, Resulting Numbers: [69, 5]
Generated Node #3: [69, 5] from Operation: 70/14=5
Current State: 64:[69, 5], Operations: ['40-26=14', '70/14=5']
Exploring Operation: 69-5=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
56,
53,
31,
8
] | 55 | [
"56-53=3",
"8*3=24",
"31+24=55"
] | Current State: 55:[56, 53, 31, 8], Operations: []
Exploring Operation: 56-53=3, Resulting Numbers: [31, 8, 3]
Generated Node #2: [31, 8, 3] from Operation: 56-53=3
Current State: 55:[31, 8, 3], Operations: ['56-53=3']
Exploring Operation: 8*3=24, Resulting Numbers: [31, 24]
Generated Node #3: [31, 24] from Operation: 8*3=24
Current State: 55:[31, 24], Operations: ['56-53=3', '8*3=24']
Exploring Operation: 31+24=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
5,
21,
43,
17
] | 63 | [
"5*17=85",
"43-21=22",
"85-22=63"
] | Current State: 63:[5, 21, 43, 17], Operations: []
Exploring Operation: 5*17=85, Resulting Numbers: [21, 43, 85]
Generated Node #2: [21, 43, 85] from Operation: 5*17=85
Current State: 63:[21, 43, 85], Operations: ['5*17=85']
Exploring Operation: 43-21=22, Resulting Numbers: [85, 22]
Generated Node #3: [85, 22] from Operation: 43-21=22
Current State: 63:[85, 22], Operations: ['5*17=85', '43-21=22']
Exploring Operation: 85-22=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
97,
34,
42,
79
] | 10 | [
"97+34=131",
"42+79=121",
"131-121=10"
] | Current State: 10:[97, 34, 42, 79], Operations: []
Exploring Operation: 97+34=131, Resulting Numbers: [42, 79, 131]
Generated Node #2: [42, 79, 131] from Operation: 97+34=131
Current State: 10:[42, 79, 131], Operations: ['97+34=131']
Exploring Operation: 42+79=121, Resulting Numbers: [131, 121]
Generated Node #3: [131, 121] from Operation: 42+79=121
Current State: 10:[131, 121], Operations: ['97+34=131', '42+79=121']
Exploring Operation: 131-121=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
45,
79,
47,
18
] | 31 | [
"79-45=34",
"47+18=65",
"65-34=31"
] | Current State: 31:[45, 79, 47, 18], Operations: []
Exploring Operation: 79-45=34, Resulting Numbers: [47, 18, 34]
Generated Node #2: [47, 18, 34] from Operation: 79-45=34
Current State: 31:[47, 18, 34], Operations: ['79-45=34']
Exploring Operation: 47+18=65, Resulting Numbers: [34, 65]
Generated Node #3: [34, 65] from Operation: 47+18=65
Current State: 31:[34, 65], Operations: ['79-45=34', '47+18=65']
Exploring Operation: 65-34=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
21,
89,
29,
18
] | 21 | [
"89-21=68",
"29+18=47",
"68-47=21"
] | Current State: 21:[21, 89, 29, 18], Operations: []
Exploring Operation: 89-21=68, Resulting Numbers: [29, 18, 68]
Generated Node #2: [29, 18, 68] from Operation: 89-21=68
Current State: 21:[29, 18, 68], Operations: ['89-21=68']
Exploring Operation: 29+18=47, Resulting Numbers: [68, 47]
Generated Node #3: [68, 47] from Operation: 29+18=47
Current State: 21:[68, 47], Operations: ['89-21=68', '29+18=47']
Exploring Operation: 68-47=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
18,
48,
8,
12
] | 62 | [
"18+48=66",
"12-8=4",
"66-4=62"
] | Current State: 62:[18, 48, 8, 12], Operations: []
Exploring Operation: 18+48=66, Resulting Numbers: [8, 12, 66]
Generated Node #2: [8, 12, 66] from Operation: 18+48=66
Current State: 62:[8, 12, 66], Operations: ['18+48=66']
Exploring Operation: 12-8=4, Resulting Numbers: [66, 4]
Generated Node #3: [66, 4] from Operation: 12-8=4
Current State: 62:[66, 4], Operations: ['18+48=66', '12-8=4']
Exploring Operation: 66-4=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
6,
78,
9,
71
] | 61 | [
"6*9=54",
"78-71=7",
"54+7=61"
] | Current State: 61:[6, 78, 9, 71], Operations: []
Exploring Operation: 6*9=54, Resulting Numbers: [78, 71, 54]
Generated Node #2: [78, 71, 54] from Operation: 6*9=54
Current State: 61:[78, 71, 54], Operations: ['6*9=54']
Exploring Operation: 78-71=7, Resulting Numbers: [54, 7]
Generated Node #3: [54, 7] from Operation: 78-71=7
Current State: 61:[54, 7], Operations: ['6*9=54', '78-71=7']
Exploring Operation: 54+7=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
21,
90,
72,
51
] | 75 | [
"51-21=30",
"90/30=3",
"72+3=75"
] | Current State: 75:[21, 90, 72, 51], Operations: []
Exploring Operation: 51-21=30, Resulting Numbers: [90, 72, 30]
Generated Node #2: [90, 72, 30] from Operation: 51-21=30
Current State: 75:[90, 72, 30], Operations: ['51-21=30']
Exploring Operation: 90/30=3, Resulting Numbers: [72, 3]
Generated Node #3: [72, 3] from Operation: 90/30=3
Current State: 75:[72, 3], Operations: ['51-21=30', '90/30=3']
Exploring Operation: 72+3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
27,
41,
53,
11
] | 50 | [
"41-27=14",
"53+11=64",
"64-14=50"
] | Current State: 50:[27, 41, 53, 11], Operations: []
Exploring Operation: 41-27=14, Resulting Numbers: [53, 11, 14]
Generated Node #2: [53, 11, 14] from Operation: 41-27=14
Current State: 50:[53, 11, 14], Operations: ['41-27=14']
Exploring Operation: 53+11=64, Resulting Numbers: [14, 64]
Generated Node #3: [14, 64] from Operation: 53+11=64
Current State: 50:[14, 64], Operations: ['41-27=14', '53+11=64']
Exploring Operation: 64-14=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
46,
46,
94,
20
] | 22 | [
"46+46=92",
"94+20=114",
"114-92=22"
] | Current State: 22:[46, 46, 94, 20], Operations: []
Exploring Operation: 46+46=92, Resulting Numbers: [94, 20, 92]
Generated Node #2: [94, 20, 92] from Operation: 46+46=92
Current State: 22:[94, 20, 92], Operations: ['46+46=92']
Exploring Operation: 94+20=114, Resulting Numbers: [92, 114]
Generated Node #3: [92, 114] from Operation: 94+20=114
Current State: 22:[92, 114], Operations: ['46+46=92', '94+20=114']
Exploring Operation: 114-92=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
38,
2,
28,
20
] | 64 | [
"38-20=18",
"2*18=36",
"28+36=64"
] | Current State: 64:[38, 2, 28, 20], Operations: []
Exploring Operation: 38-20=18, Resulting Numbers: [2, 28, 18]
Generated Node #2: [2, 28, 18] from Operation: 38-20=18
Current State: 64:[2, 28, 18], Operations: ['38-20=18']
Exploring Operation: 2*18=36, Resulting Numbers: [28, 36]
Generated Node #3: [28, 36] from Operation: 2*18=36
Current State: 64:[28, 36], Operations: ['38-20=18', '2*18=36']
Exploring Operation: 28+36=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
26,
22,
15,
87
] | 68 | [
"26-22=4",
"87-15=72",
"72-4=68"
] | Current State: 68:[26, 22, 15, 87], Operations: []
Exploring Operation: 26-22=4, Resulting Numbers: [15, 87, 4]
Generated Node #2: [15, 87, 4] from Operation: 26-22=4
Current State: 68:[15, 87, 4], Operations: ['26-22=4']
Exploring Operation: 87-15=72, Resulting Numbers: [4, 72]
Generated Node #3: [4, 72] from Operation: 87-15=72
Current State: 68:[4, 72], Operations: ['26-22=4', '87-15=72']
Exploring Operation: 72-4=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
45,
7,
18,
5
] | 62 | [
"45-18=27",
"7*5=35",
"27+35=62"
] | Current State: 62:[45, 7, 18, 5], Operations: []
Exploring Operation: 45-18=27, Resulting Numbers: [7, 5, 27]
Generated Node #2: [7, 5, 27] from Operation: 45-18=27
Current State: 62:[7, 5, 27], Operations: ['45-18=27']
Exploring Operation: 7*5=35, Resulting Numbers: [27, 35]
Generated Node #3: [27, 35] from Operation: 7*5=35
Current State: 62:[27, 35], Operations: ['45-18=27', '7*5=35']
Exploring Operation: 27+35=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
46,
3,
39,
40
] | 42 | [
"46-3=43",
"40-39=1",
"43-1=42"
] | Current State: 42:[46, 3, 39, 40], Operations: []
Exploring Operation: 46-3=43, Resulting Numbers: [39, 40, 43]
Generated Node #2: [39, 40, 43] from Operation: 46-3=43
Current State: 42:[39, 40, 43], Operations: ['46-3=43']
Exploring Operation: 40-39=1, Resulting Numbers: [43, 1]
Generated Node #3: [43, 1] from Operation: 40-39=1
Current State: 42:[43, 1], Operations: ['46-3=43', '40-39=1']
Exploring Operation: 43-1=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
55,
28,
7,
77
] | 15 | [
"28-7=21",
"55*21=1155",
"1155/77=15"
] | Current State: 15:[55, 28, 7, 77], Operations: []
Exploring Operation: 28-7=21, Resulting Numbers: [55, 77, 21]
Generated Node #2: [55, 77, 21] from Operation: 28-7=21
Current State: 15:[55, 77, 21], Operations: ['28-7=21']
Exploring Operation: 55*21=1155, Resulting Numbers: [77, 1155]
Generated Node #3: [77, 1155] from Operation: 55*21=1155
Current State: 15:[77, 1155], Operations: ['28-7=21', '55*21=1155']
Exploring Operation: 1155/77=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
61,
17,
2,
99
] | 59 | [
"99-61=38",
"2*38=76",
"76-17=59"
] | Current State: 59:[61, 17, 2, 99], Operations: []
Exploring Operation: 99-61=38, Resulting Numbers: [17, 2, 38]
Generated Node #2: [17, 2, 38] from Operation: 99-61=38
Current State: 59:[17, 2, 38], Operations: ['99-61=38']
Exploring Operation: 2*38=76, Resulting Numbers: [17, 76]
Generated Node #3: [17, 76] from Operation: 2*38=76
Current State: 59:[17, 76], Operations: ['99-61=38', '2*38=76']
Exploring Operation: 76-17=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
3,
76,
67,
59
] | 22 | [
"76+59=135",
"135/3=45",
"67-45=22"
] | Current State: 22:[3, 76, 67, 59], Operations: []
Exploring Operation: 76+59=135, Resulting Numbers: [3, 67, 135]
Generated Node #2: [3, 67, 135] from Operation: 76+59=135
Current State: 22:[3, 67, 135], Operations: ['76+59=135']
Exploring Operation: 135/3=45, Resulting Numbers: [67, 45]
Generated Node #3: [67, 45] from Operation: 135/3=45
Current State: 22:[67, 45], Operations: ['76+59=135', '135/3=45']
Exploring Operation: 67-45=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
68,
30,
62,
15
] | 60 | [
"68-62=6",
"15*6=90",
"90-30=60"
] | Current State: 60:[68, 30, 62, 15], Operations: []
Exploring Operation: 68-62=6, Resulting Numbers: [30, 15, 6]
Generated Node #2: [30, 15, 6] from Operation: 68-62=6
Current State: 60:[30, 15, 6], Operations: ['68-62=6']
Exploring Operation: 15*6=90, Resulting Numbers: [30, 90]
Generated Node #3: [30, 90] from Operation: 15*6=90
Current State: 60:[30, 90], Operations: ['68-62=6', '15*6=90']
Exploring Operation: 90-30=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
63,
33,
61,
6
] | 66 | [
"63-33=30",
"30/6=5",
"61+5=66"
] | Current State: 66:[63, 33, 61, 6], Operations: []
Exploring Operation: 63-33=30, Resulting Numbers: [61, 6, 30]
Generated Node #2: [61, 6, 30] from Operation: 63-33=30
Current State: 66:[61, 6, 30], Operations: ['63-33=30']
Exploring Operation: 30/6=5, Resulting Numbers: [61, 5]
Generated Node #3: [61, 5] from Operation: 30/6=5
Current State: 66:[61, 5], Operations: ['63-33=30', '30/6=5']
Exploring Operation: 61+5=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
62,
51,
31,
28
] | 79 | [
"31-28=3",
"51/3=17",
"62+17=79"
] | Current State: 79:[62, 51, 31, 28], Operations: []
Exploring Operation: 31-28=3, Resulting Numbers: [62, 51, 3]
Generated Node #2: [62, 51, 3] from Operation: 31-28=3
Current State: 79:[62, 51, 3], Operations: ['31-28=3']
Exploring Operation: 51/3=17, Resulting Numbers: [62, 17]
Generated Node #3: [62, 17] from Operation: 51/3=17
Current State: 79:[62, 17], Operations: ['31-28=3', '51/3=17']
Exploring Operation: 62+17=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
6,
86,
6,
84
] | 72 | [
"6*86=516",
"516-84=432",
"432/6=72"
] | Current State: 72:[6, 86, 6, 84], Operations: []
Exploring Operation: 6*86=516, Resulting Numbers: [84, 516]
Generated Node #2: [84, 516] from Operation: 6*86=516
Current State: 72:[84, 516], Operations: ['6*86=516']
Exploring Operation: 516-84=432, Resulting Numbers: [432]
432,72 equal: Goal Reached
Exploring Operation: 432/6=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
42,
21,
16,
46
] | 76 | [
"42/21=2",
"46*2=92",
"92-16=76"
] | Current State: 76:[42, 21, 16, 46], Operations: []
Exploring Operation: 42/21=2, Resulting Numbers: [16, 46, 2]
Generated Node #2: [16, 46, 2] from Operation: 42/21=2
Current State: 76:[16, 46, 2], Operations: ['42/21=2']
Exploring Operation: 46*2=92, Resulting Numbers: [16, 92]
Generated Node #3: [16, 92] from Operation: 46*2=92
Current State: 76:[16, 92], Operations: ['42/21=2', '46*2=92']
Exploring Operation: 92-16=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
5,
70,
47,
73
] | 32 | [
"73-70=3",
"5*3=15",
"47-15=32"
] | Current State: 32:[5, 70, 47, 73], Operations: []
Exploring Operation: 73-70=3, Resulting Numbers: [5, 47, 3]
Generated Node #2: [5, 47, 3] from Operation: 73-70=3
Current State: 32:[5, 47, 3], Operations: ['73-70=3']
Exploring Operation: 5*3=15, Resulting Numbers: [47, 15]
Generated Node #3: [47, 15] from Operation: 5*3=15
Current State: 32:[47, 15], Operations: ['73-70=3', '5*3=15']
Exploring Operation: 47-15=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
19,
31,
49,
68
] | 67 | [
"19+31=50",
"49+68=117",
"117-50=67"
] | Current State: 67:[19, 31, 49, 68], Operations: []
Exploring Operation: 19+31=50, Resulting Numbers: [49, 68, 50]
Generated Node #2: [49, 68, 50] from Operation: 19+31=50
Current State: 67:[49, 68, 50], Operations: ['19+31=50']
Exploring Operation: 49+68=117, Resulting Numbers: [50, 117]
Generated Node #3: [50, 117] from Operation: 49+68=117
Current State: 67:[50, 117], Operations: ['19+31=50', '49+68=117']
Exploring Operation: 117-50=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
5,
12,
71,
73
] | 62 | [
"5*12=60",
"73-71=2",
"60+2=62"
] | Current State: 62:[5, 12, 71, 73], Operations: []
Exploring Operation: 5*12=60, Resulting Numbers: [71, 73, 60]
Generated Node #2: [71, 73, 60] from Operation: 5*12=60
Current State: 62:[71, 73, 60], Operations: ['5*12=60']
Exploring Operation: 73-71=2, Resulting Numbers: [60, 2]
Generated Node #3: [60, 2] from Operation: 73-71=2
Current State: 62:[60, 2], Operations: ['5*12=60', '73-71=2']
Exploring Operation: 60+2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
89,
80,
13,
76
] | 19 | [
"89-80=9",
"13-9=4",
"76/4=19"
] | Current State: 19:[89, 80, 13, 76], Operations: []
Exploring Operation: 89-80=9, Resulting Numbers: [13, 76, 9]
Generated Node #2: [13, 76, 9] from Operation: 89-80=9
Current State: 19:[13, 76, 9], Operations: ['89-80=9']
Exploring Operation: 13-9=4, Resulting Numbers: [76, 4]
Generated Node #3: [76, 4] from Operation: 13-9=4
Current State: 19:[76, 4], Operations: ['89-80=9', '13-9=4']
Exploring Operation: 76/4=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
39,
44,
88,
66
] | 93 | [
"88/44=2",
"66*2=132",
"132-39=93"
] | Current State: 93:[39, 44, 88, 66], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [39, 66, 2]
Generated Node #2: [39, 66, 2] from Operation: 88/44=2
Current State: 93:[39, 66, 2], Operations: ['88/44=2']
Exploring Operation: 66*2=132, Resulting Numbers: [39, 132]
Generated Node #3: [39, 132] from Operation: 66*2=132
Current State: 93:[39, 132], Operations: ['88/44=2', '66*2=132']
Exploring Operation: 132-39=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
78,
40,
57,
61
] | 68 | [
"61-57=4",
"40/4=10",
"78-10=68"
] | Current State: 68:[78, 40, 57, 61], Operations: []
Exploring Operation: 61-57=4, Resulting Numbers: [78, 40, 4]
Generated Node #2: [78, 40, 4] from Operation: 61-57=4
Current State: 68:[78, 40, 4], Operations: ['61-57=4']
Exploring Operation: 40/4=10, Resulting Numbers: [78, 10]
Generated Node #3: [78, 10] from Operation: 40/4=10
Current State: 68:[78, 10], Operations: ['61-57=4', '40/4=10']
Exploring Operation: 78-10=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
48,
90,
87,
79
] | 84 | [
"87-79=8",
"48/8=6",
"90-6=84"
] | Current State: 84:[48, 90, 87, 79], Operations: []
Exploring Operation: 87-79=8, Resulting Numbers: [48, 90, 8]
Generated Node #2: [48, 90, 8] from Operation: 87-79=8
Current State: 84:[48, 90, 8], Operations: ['87-79=8']
Exploring Operation: 48/8=6, Resulting Numbers: [90, 6]
Generated Node #3: [90, 6] from Operation: 48/8=6
Current State: 84:[90, 6], Operations: ['87-79=8', '48/8=6']
Exploring Operation: 90-6=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
18,
2,
89,
88
] | 27 | [
"89-18=71",
"88/2=44",
"71-44=27"
] | Current State: 27:[18, 2, 89, 88], Operations: []
Exploring Operation: 89-18=71, Resulting Numbers: [2, 88, 71]
Generated Node #2: [2, 88, 71] from Operation: 89-18=71
Current State: 27:[2, 88, 71], Operations: ['89-18=71']
Exploring Operation: 88/2=44, Resulting Numbers: [71, 44]
Generated Node #3: [71, 44] from Operation: 88/2=44
Current State: 27:[71, 44], Operations: ['89-18=71', '88/2=44']
Exploring Operation: 71-44=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
97,
75,
57,
17
] | 62 | [
"97-75=22",
"57-17=40",
"22+40=62"
] | Current State: 62:[97, 75, 57, 17], Operations: []
Exploring Operation: 97-75=22, Resulting Numbers: [57, 17, 22]
Generated Node #2: [57, 17, 22] from Operation: 97-75=22
Current State: 62:[57, 17, 22], Operations: ['97-75=22']
Exploring Operation: 57-17=40, Resulting Numbers: [22, 40]
Generated Node #3: [22, 40] from Operation: 57-17=40
Current State: 62:[22, 40], Operations: ['97-75=22', '57-17=40']
Exploring Operation: 22+40=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
93,
14,
65,
4
] | 38 | [
"93+14=107",
"65+4=69",
"107-69=38"
] | Current State: 38:[93, 14, 65, 4], Operations: []
Exploring Operation: 93+14=107, Resulting Numbers: [65, 4, 107]
Generated Node #2: [65, 4, 107] from Operation: 93+14=107
Current State: 38:[65, 4, 107], Operations: ['93+14=107']
Exploring Operation: 65+4=69, Resulting Numbers: [107, 69]
Generated Node #3: [107, 69] from Operation: 65+4=69
Current State: 38:[107, 69], Operations: ['93+14=107', '65+4=69']
Exploring Operation: 107-69=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
7,
55,
75,
23
] | 41 | [
"75+23=98",
"98/7=14",
"55-14=41"
] | Current State: 41:[7, 55, 75, 23], Operations: []
Exploring Operation: 75+23=98, Resulting Numbers: [7, 55, 98]
Generated Node #2: [7, 55, 98] from Operation: 75+23=98
Current State: 41:[7, 55, 98], Operations: ['75+23=98']
Exploring Operation: 98/7=14, Resulting Numbers: [55, 14]
Generated Node #3: [55, 14] from Operation: 98/7=14
Current State: 41:[55, 14], Operations: ['75+23=98', '98/7=14']
Exploring Operation: 55-14=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
32,
70,
19,
64
] | 16 | [
"32*70=2240",
"2240/64=35",
"35-19=16"
] | Current State: 16:[32, 70, 19, 64], Operations: []
Exploring Operation: 32*70=2240, Resulting Numbers: [19, 64, 2240]
Generated Node #2: [19, 64, 2240] from Operation: 32*70=2240
Current State: 16:[19, 64, 2240], Operations: ['32*70=2240']
Exploring Operation: 2240/64=35, Resulting Numbers: [19, 35]
Generated Node #3: [19, 35] from Operation: 2240/64=35
Current State: 16:[19, 35], Operations: ['32*70=2240', '2240/64=35']
Exploring Operation: 35-19=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
6,
80,
40,
15
] | 42 | [
"6+15=21",
"80/40=2",
"21*2=42"
] | Current State: 42:[6, 80, 40, 15], Operations: []
Exploring Operation: 6+15=21, Resulting Numbers: [80, 40, 21]
Generated Node #2: [80, 40, 21] from Operation: 6+15=21
Current State: 42:[80, 40, 21], Operations: ['6+15=21']
Exploring Operation: 80/40=2, Resulting Numbers: [21, 2]
Generated Node #3: [21, 2] from Operation: 80/40=2
Current State: 42:[21, 2], Operations: ['6+15=21', '80/40=2']
Exploring Operation: 21*2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
72,
18,
93,
87
] | 45 | [
"72/18=4",
"93+87=180",
"180/4=45"
] | Current State: 45:[72, 18, 93, 87], Operations: []
Exploring Operation: 72/18=4, Resulting Numbers: [93, 87, 4]
Generated Node #2: [93, 87, 4] from Operation: 72/18=4
Current State: 45:[93, 87, 4], Operations: ['72/18=4']
Exploring Operation: 93+87=180, Resulting Numbers: [4, 180]
Generated Node #3: [4, 180] from Operation: 93+87=180
Current State: 45:[4, 180], Operations: ['72/18=4', '93+87=180']
Exploring Operation: 180/4=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
55,
41,
91,
5
] | 72 | [
"55-41=14",
"91-5=86",
"86-14=72"
] | Current State: 72:[55, 41, 91, 5], Operations: []
Exploring Operation: 55-41=14, Resulting Numbers: [91, 5, 14]
Generated Node #2: [91, 5, 14] from Operation: 55-41=14
Current State: 72:[91, 5, 14], Operations: ['55-41=14']
Exploring Operation: 91-5=86, Resulting Numbers: [14, 86]
Generated Node #3: [14, 86] from Operation: 91-5=86
Current State: 72:[14, 86], Operations: ['55-41=14', '91-5=86']
Exploring Operation: 86-14=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
43,
3,
34,
83
] | 89 | [
"43-3=40",
"83-34=49",
"40+49=89"
] | Current State: 89:[43, 3, 34, 83], Operations: []
Exploring Operation: 43-3=40, Resulting Numbers: [34, 83, 40]
Generated Node #2: [34, 83, 40] from Operation: 43-3=40
Current State: 89:[34, 83, 40], Operations: ['43-3=40']
Exploring Operation: 83-34=49, Resulting Numbers: [40, 49]
Generated Node #3: [40, 49] from Operation: 83-34=49
Current State: 89:[40, 49], Operations: ['43-3=40', '83-34=49']
Exploring Operation: 40+49=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
2,
45,
87,
44
] | 88 | [
"45-2=43",
"87+44=131",
"131-43=88"
] | Current State: 88:[2, 45, 87, 44], Operations: []
Exploring Operation: 45-2=43, Resulting Numbers: [87, 44, 43]
Generated Node #2: [87, 44, 43] from Operation: 45-2=43
Current State: 88:[87, 44, 43], Operations: ['45-2=43']
Exploring Operation: 87+44=131, Resulting Numbers: [43, 131]
Generated Node #3: [43, 131] from Operation: 87+44=131
Current State: 88:[43, 131], Operations: ['45-2=43', '87+44=131']
Exploring Operation: 131-43=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
71,
15,
37,
5
] | 36 | [
"71+37=108",
"15/5=3",
"108/3=36"
] | Current State: 36:[71, 15, 37, 5], Operations: []
Exploring Operation: 71+37=108, Resulting Numbers: [15, 5, 108]
Generated Node #2: [15, 5, 108] from Operation: 71+37=108
Current State: 36:[15, 5, 108], Operations: ['71+37=108']
Exploring Operation: 15/5=3, Resulting Numbers: [108, 3]
Generated Node #3: [108, 3] from Operation: 15/5=3
Current State: 36:[108, 3], Operations: ['71+37=108', '15/5=3']
Exploring Operation: 108/3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
6,
16,
92,
3
] | 74 | [
"6/3=2",
"92-16=76",
"76-2=74"
] | Current State: 74:[6, 16, 92, 3], Operations: []
Exploring Operation: 6/3=2, Resulting Numbers: [16, 92, 2]
Generated Node #2: [16, 92, 2] from Operation: 6/3=2
Current State: 74:[16, 92, 2], Operations: ['6/3=2']
Exploring Operation: 92-16=76, Resulting Numbers: [2, 76]
Generated Node #3: [2, 76] from Operation: 92-16=76
Current State: 74:[2, 76], Operations: ['6/3=2', '92-16=76']
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
63,
23,
51,
41
] | 67 | [
"51+41=92",
"92/23=4",
"63+4=67"
] | Current State: 67:[63, 23, 51, 41], Operations: []
Exploring Operation: 51+41=92, Resulting Numbers: [63, 23, 92]
Generated Node #2: [63, 23, 92] from Operation: 51+41=92
Current State: 67:[63, 23, 92], Operations: ['51+41=92']
Exploring Operation: 92/23=4, Resulting Numbers: [63, 4]
Generated Node #3: [63, 4] from Operation: 92/23=4
Current State: 67:[63, 4], Operations: ['51+41=92', '92/23=4']
Exploring Operation: 63+4=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
95,
28,
99,
17
] | 86 | [
"28-17=11",
"99/11=9",
"95-9=86"
] | Current State: 86:[95, 28, 99, 17], Operations: []
Exploring Operation: 28-17=11, Resulting Numbers: [95, 99, 11]
Generated Node #2: [95, 99, 11] from Operation: 28-17=11
Current State: 86:[95, 99, 11], Operations: ['28-17=11']
Exploring Operation: 99/11=9, Resulting Numbers: [95, 9]
Generated Node #3: [95, 9] from Operation: 99/11=9
Current State: 86:[95, 9], Operations: ['28-17=11', '99/11=9']
Exploring Operation: 95-9=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
40,
37,
99,
3
] | 100 | [
"40-37=3",
"3/3=1",
"99+1=100"
] | Current State: 100:[40, 37, 99, 3], Operations: []
Exploring Operation: 40-37=3, Resulting Numbers: [99, 3, 3]
Generated Node #2: [99, 3, 3] from Operation: 40-37=3
Current State: 100:[99, 3, 3], Operations: ['40-37=3']
Exploring Operation: 3/3=1, Resulting Numbers: [99, 1]
Generated Node #3: [99, 1] from Operation: 3/3=1
Current State: 100:[99, 1], Operations: ['40-37=3', '3/3=1']
Exploring Operation: 99+1=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
91,
66,
41,
50
] | 82 | [
"91-66=25",
"41*50=2050",
"2050/25=82"
] | Current State: 82:[91, 66, 41, 50], Operations: []
Exploring Operation: 91-66=25, Resulting Numbers: [41, 50, 25]
Generated Node #2: [41, 50, 25] from Operation: 91-66=25
Current State: 82:[41, 50, 25], Operations: ['91-66=25']
Exploring Operation: 41*50=2050, Resulting Numbers: [25, 2050]
Generated Node #3: [25, 2050] from Operation: 41*50=2050
Current State: 82:[25, 2050], Operations: ['91-66=25', '41*50=2050']
Exploring Operation: 2050/25=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
42,
52,
5,
20
] | 70 | [
"52-42=10",
"5*10=50",
"20+50=70"
] | Current State: 70:[42, 52, 5, 20], Operations: []
Exploring Operation: 52-42=10, Resulting Numbers: [5, 20, 10]
Generated Node #2: [5, 20, 10] from Operation: 52-42=10
Current State: 70:[5, 20, 10], Operations: ['52-42=10']
Exploring Operation: 5*10=50, Resulting Numbers: [20, 50]
Generated Node #3: [20, 50] from Operation: 5*10=50
Current State: 70:[20, 50], Operations: ['52-42=10', '5*10=50']
Exploring Operation: 20+50=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
7,
36,
32,
30
] | 30 | [
"32-7=25",
"36*25=900",
"900/30=30"
] | Current State: 30:[7, 36, 32, 30], Operations: []
Exploring Operation: 32-7=25, Resulting Numbers: [36, 30, 25]
Generated Node #2: [36, 30, 25] from Operation: 32-7=25
Current State: 30:[36, 30, 25], Operations: ['32-7=25']
Exploring Operation: 36*25=900, Resulting Numbers: [30, 900]
Generated Node #3: [30, 900] from Operation: 36*25=900
Current State: 30:[30, 900], Operations: ['32-7=25', '36*25=900']
Exploring Operation: 900/30=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
14,
45,
84,
96
] | 90 | [
"14+84=98",
"98-96=2",
"45*2=90"
] | Current State: 90:[14, 45, 84, 96], Operations: []
Exploring Operation: 14+84=98, Resulting Numbers: [45, 96, 98]
Generated Node #2: [45, 96, 98] from Operation: 14+84=98
Current State: 90:[45, 96, 98], Operations: ['14+84=98']
Exploring Operation: 98-96=2, Resulting Numbers: [45, 2]
Generated Node #3: [45, 2] from Operation: 98-96=2
Current State: 90:[45, 2], Operations: ['14+84=98', '98-96=2']
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
74,
27,
72,
64
] | 59 | [
"74-72=2",
"64/2=32",
"27+32=59"
] | Current State: 59:[74, 27, 72, 64], Operations: []
Exploring Operation: 74-72=2, Resulting Numbers: [27, 64, 2]
Generated Node #2: [27, 64, 2] from Operation: 74-72=2
Current State: 59:[27, 64, 2], Operations: ['74-72=2']
Exploring Operation: 64/2=32, Resulting Numbers: [27, 32]
Generated Node #3: [27, 32] from Operation: 64/2=32
Current State: 59:[27, 32], Operations: ['74-72=2', '64/2=32']
Exploring Operation: 27+32=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
60,
36,
61,
74
] | 37 | [
"60-36=24",
"74-61=13",
"24+13=37"
] | Current State: 37:[60, 36, 61, 74], Operations: []
Exploring Operation: 60-36=24, Resulting Numbers: [61, 74, 24]
Generated Node #2: [61, 74, 24] from Operation: 60-36=24
Current State: 37:[61, 74, 24], Operations: ['60-36=24']
Exploring Operation: 74-61=13, Resulting Numbers: [24, 13]
Generated Node #3: [24, 13] from Operation: 74-61=13
Current State: 37:[24, 13], Operations: ['60-36=24', '74-61=13']
Exploring Operation: 24+13=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
38,
75,
17,
42
] | 23 | [
"42-38=4",
"75+17=92",
"92/4=23"
] | Current State: 23:[38, 75, 17, 42], Operations: []
Exploring Operation: 42-38=4, Resulting Numbers: [75, 17, 4]
Generated Node #2: [75, 17, 4] from Operation: 42-38=4
Current State: 23:[75, 17, 4], Operations: ['42-38=4']
Exploring Operation: 75+17=92, Resulting Numbers: [4, 92]
Generated Node #3: [4, 92] from Operation: 75+17=92
Current State: 23:[4, 92], Operations: ['42-38=4', '75+17=92']
Exploring Operation: 92/4=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
97,
68,
73,
83
] | 19 | [
"97-68=29",
"83-73=10",
"29-10=19"
] | Current State: 19:[97, 68, 73, 83], Operations: []
Exploring Operation: 97-68=29, Resulting Numbers: [73, 83, 29]
Generated Node #2: [73, 83, 29] from Operation: 97-68=29
Current State: 19:[73, 83, 29], Operations: ['97-68=29']
Exploring Operation: 83-73=10, Resulting Numbers: [29, 10]
Generated Node #3: [29, 10] from Operation: 83-73=10
Current State: 19:[29, 10], Operations: ['97-68=29', '83-73=10']
Exploring Operation: 29-10=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
68,
7,
92,
50
] | 67 | [
"68+7=75",
"92+50=142",
"142-75=67"
] | Current State: 67:[68, 7, 92, 50], Operations: []
Exploring Operation: 68+7=75, Resulting Numbers: [92, 50, 75]
Generated Node #2: [92, 50, 75] from Operation: 68+7=75
Current State: 67:[92, 50, 75], Operations: ['68+7=75']
Exploring Operation: 92+50=142, Resulting Numbers: [75, 142]
Generated Node #3: [75, 142] from Operation: 92+50=142
Current State: 67:[75, 142], Operations: ['68+7=75', '92+50=142']
Exploring Operation: 142-75=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
33,
5,
18,
30
] | 75 | [
"33-18=15",
"30-15=15",
"5*15=75"
] | Current State: 75:[33, 5, 18, 30], Operations: []
Exploring Operation: 33-18=15, Resulting Numbers: [5, 30, 15]
Generated Node #2: [5, 30, 15] from Operation: 33-18=15
Current State: 75:[5, 30, 15], Operations: ['33-18=15']
Exploring Operation: 30-15=15, Resulting Numbers: [5, 15]
Generated Node #3: [5, 15] from Operation: 30-15=15
Current State: 75:[5, 15], Operations: ['33-18=15', '30-15=15']
Exploring Operation: 5*15=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
38,
72,
37,
9
] | 82 | [
"38+72=110",
"37-9=28",
"110-28=82"
] | Current State: 82:[38, 72, 37, 9], Operations: []
Exploring Operation: 38+72=110, Resulting Numbers: [37, 9, 110]
Generated Node #2: [37, 9, 110] from Operation: 38+72=110
Current State: 82:[37, 9, 110], Operations: ['38+72=110']
Exploring Operation: 37-9=28, Resulting Numbers: [110, 28]
Generated Node #3: [110, 28] from Operation: 37-9=28
Current State: 82:[110, 28], Operations: ['38+72=110', '37-9=28']
Exploring Operation: 110-28=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
26,
42,
14,
32
] | 86 | [
"26+42=68",
"32-14=18",
"68+18=86"
] | Current State: 86:[26, 42, 14, 32], Operations: []
Exploring Operation: 26+42=68, Resulting Numbers: [14, 32, 68]
Generated Node #2: [14, 32, 68] from Operation: 26+42=68
Current State: 86:[14, 32, 68], Operations: ['26+42=68']
Exploring Operation: 32-14=18, Resulting Numbers: [68, 18]
Generated Node #3: [68, 18] from Operation: 32-14=18
Current State: 86:[68, 18], Operations: ['26+42=68', '32-14=18']
Exploring Operation: 68+18=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
67,
8,
11,
64
] | 71 | [
"67-11=56",
"56/8=7",
"64+7=71"
] | Current State: 71:[67, 8, 11, 64], Operations: []
Exploring Operation: 67-11=56, Resulting Numbers: [8, 64, 56]
Generated Node #2: [8, 64, 56] from Operation: 67-11=56
Current State: 71:[8, 64, 56], Operations: ['67-11=56']
Exploring Operation: 56/8=7, Resulting Numbers: [64, 7]
Generated Node #3: [64, 7] from Operation: 56/8=7
Current State: 71:[64, 7], Operations: ['67-11=56', '56/8=7']
Exploring Operation: 64+7=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
84,
65,
86,
51
] | 37 | [
"86-84=2",
"51*2=102",
"102-65=37"
] | Current State: 37:[84, 65, 86, 51], Operations: []
Exploring Operation: 86-84=2, Resulting Numbers: [65, 51, 2]
Generated Node #2: [65, 51, 2] from Operation: 86-84=2
Current State: 37:[65, 51, 2], Operations: ['86-84=2']
Exploring Operation: 51*2=102, Resulting Numbers: [65, 102]
Generated Node #3: [65, 102] from Operation: 51*2=102
Current State: 37:[65, 102], Operations: ['86-84=2', '51*2=102']
Exploring Operation: 102-65=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
70,
13,
23,
1
] | 34 | [
"70-13=57",
"23*1=23",
"57-23=34"
] | Current State: 34:[70, 13, 23, 1], Operations: []
Exploring Operation: 70-13=57, Resulting Numbers: [23, 1, 57]
Generated Node #2: [23, 1, 57] from Operation: 70-13=57
Current State: 34:[23, 1, 57], Operations: ['70-13=57']
Exploring Operation: 23*1=23, Resulting Numbers: [57, 23]
Generated Node #3: [57, 23] from Operation: 23*1=23
Current State: 34:[57, 23], Operations: ['70-13=57', '23*1=23']
Exploring Operation: 57-23=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
57,
52,
18,
49
] | 36 | [
"57-52=5",
"49-18=31",
"5+31=36"
] | Current State: 36:[57, 52, 18, 49], Operations: []
Exploring Operation: 57-52=5, Resulting Numbers: [18, 49, 5]
Generated Node #2: [18, 49, 5] from Operation: 57-52=5
Current State: 36:[18, 49, 5], Operations: ['57-52=5']
Exploring Operation: 49-18=31, Resulting Numbers: [5, 31]
Generated Node #3: [5, 31] from Operation: 49-18=31
Current State: 36:[5, 31], Operations: ['57-52=5', '49-18=31']
Exploring Operation: 5+31=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
1,
24,
41,
46
] | 30 | [
"1+24=25",
"46-41=5",
"25+5=30"
] | Current State: 30:[1, 24, 41, 46], Operations: []
Exploring Operation: 1+24=25, Resulting Numbers: [41, 46, 25]
Generated Node #2: [41, 46, 25] from Operation: 1+24=25
Current State: 30:[41, 46, 25], Operations: ['1+24=25']
Exploring Operation: 46-41=5, Resulting Numbers: [25, 5]
Generated Node #3: [25, 5] from Operation: 46-41=5
Current State: 30:[25, 5], Operations: ['1+24=25', '46-41=5']
Exploring Operation: 25+5=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
51,
55,
47,
68
] | 34 | [
"51*68=3468",
"55+47=102",
"3468/102=34"
] | Current State: 34:[51, 55, 47, 68], Operations: []
Exploring Operation: 51*68=3468, Resulting Numbers: [55, 47, 3468]
Generated Node #2: [55, 47, 3468] from Operation: 51*68=3468
Current State: 34:[55, 47, 3468], Operations: ['51*68=3468']
Exploring Operation: 55+47=102, Resulting Numbers: [3468, 102]
Generated Node #3: [3468, 102] from Operation: 55+47=102
Current State: 34:[3468, 102], Operations: ['51*68=3468', '55+47=102']
Exploring Operation: 3468/102=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
77,
95,
8,
2
] | 67 | [
"77*2=154",
"95-8=87",
"154-87=67"
] | Current State: 67:[77, 95, 8, 2], Operations: []
Exploring Operation: 77*2=154, Resulting Numbers: [95, 8, 154]
Generated Node #2: [95, 8, 154] from Operation: 77*2=154
Current State: 67:[95, 8, 154], Operations: ['77*2=154']
Exploring Operation: 95-8=87, Resulting Numbers: [154, 87]
Generated Node #3: [154, 87] from Operation: 95-8=87
Current State: 67:[154, 87], Operations: ['77*2=154', '95-8=87']
Exploring Operation: 154-87=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
43,
24,
62,
33
] | 69 | [
"43*33=1419",
"24*62=1488",
"1488-1419=69"
] | Current State: 69:[43, 24, 62, 33], Operations: []
Exploring Operation: 43*33=1419, Resulting Numbers: [24, 62, 1419]
Generated Node #2: [24, 62, 1419] from Operation: 43*33=1419
Current State: 69:[24, 62, 1419], Operations: ['43*33=1419']
Exploring Operation: 24*62=1488, Resulting Numbers: [1419, 1488]
Generated Node #3: [1419, 1488] from Operation: 24*62=1488
Current State: 69:[1419, 1488], Operations: ['43*33=1419', '24*62=1488']
Exploring Operation: 1488-1419=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
96,
88,
9,
60
] | 64 | [
"88*60=5280",
"5280/96=55",
"9+55=64"
] | Current State: 64:[96, 88, 9, 60], Operations: []
Exploring Operation: 88*60=5280, Resulting Numbers: [96, 9, 5280]
Generated Node #2: [96, 9, 5280] from Operation: 88*60=5280
Current State: 64:[96, 9, 5280], Operations: ['88*60=5280']
Exploring Operation: 5280/96=55, Resulting Numbers: [9, 55]
Generated Node #3: [9, 55] from Operation: 5280/96=55
Current State: 64:[9, 55], Operations: ['88*60=5280', '5280/96=55']
Exploring Operation: 9+55=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
13,
32,
50,
25
] | 90 | [
"13+32=45",
"50/25=2",
"45*2=90"
] | Current State: 90:[13, 32, 50, 25], Operations: []
Exploring Operation: 13+32=45, Resulting Numbers: [50, 25, 45]
Generated Node #2: [50, 25, 45] from Operation: 13+32=45
Current State: 90:[50, 25, 45], Operations: ['13+32=45']
Exploring Operation: 50/25=2, Resulting Numbers: [45, 2]
Generated Node #3: [45, 2] from Operation: 50/25=2
Current State: 90:[45, 2], Operations: ['13+32=45', '50/25=2']
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
7,
58,
62,
97
] | 16 | [
"58-7=51",
"97-62=35",
"51-35=16"
] | Current State: 16:[7, 58, 62, 97], Operations: []
Exploring Operation: 58-7=51, Resulting Numbers: [62, 97, 51]
Generated Node #2: [62, 97, 51] from Operation: 58-7=51
Current State: 16:[62, 97, 51], Operations: ['58-7=51']
Exploring Operation: 97-62=35, Resulting Numbers: [51, 35]
Generated Node #3: [51, 35] from Operation: 97-62=35
Current State: 16:[51, 35], Operations: ['58-7=51', '97-62=35']
Exploring Operation: 51-35=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
7,
33,
1,
5
] | 69 | [
"7*5=35",
"33+1=34",
"35+34=69"
] | Current State: 69:[7, 33, 1, 5], Operations: []
Exploring Operation: 7*5=35, Resulting Numbers: [33, 1, 35]
Generated Node #2: [33, 1, 35] from Operation: 7*5=35
Current State: 69:[33, 1, 35], Operations: ['7*5=35']
Exploring Operation: 33+1=34, Resulting Numbers: [35, 34]
Generated Node #3: [35, 34] from Operation: 33+1=34
Current State: 69:[35, 34], Operations: ['7*5=35', '33+1=34']
Exploring Operation: 35+34=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
2,
11,
52,
16
] | 98 | [
"52-11=41",
"2*41=82",
"16+82=98"
] | Current State: 98:[2, 11, 52, 16], Operations: []
Exploring Operation: 52-11=41, Resulting Numbers: [2, 16, 41]
Generated Node #2: [2, 16, 41] from Operation: 52-11=41
Current State: 98:[2, 16, 41], Operations: ['52-11=41']
Exploring Operation: 2*41=82, Resulting Numbers: [16, 82]
Generated Node #3: [16, 82] from Operation: 2*41=82
Current State: 98:[16, 82], Operations: ['52-11=41', '2*41=82']
Exploring Operation: 16+82=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
36,
2,
13,
10
] | 96 | [
"36-2=34",
"13*10=130",
"130-34=96"
] | Current State: 96:[36, 2, 13, 10], Operations: []
Exploring Operation: 36-2=34, Resulting Numbers: [13, 10, 34]
Generated Node #2: [13, 10, 34] from Operation: 36-2=34
Current State: 96:[13, 10, 34], Operations: ['36-2=34']
Exploring Operation: 13*10=130, Resulting Numbers: [34, 130]
Generated Node #3: [34, 130] from Operation: 13*10=130
Current State: 96:[34, 130], Operations: ['36-2=34', '13*10=130']
Exploring Operation: 130-34=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
90,
18,
16,
6
] | 30 | [
"90/6=15",
"18-16=2",
"15*2=30"
] | Current State: 30:[90, 18, 16, 6], Operations: []
Exploring Operation: 90/6=15, Resulting Numbers: [18, 16, 15]
Generated Node #2: [18, 16, 15] from Operation: 90/6=15
Current State: 30:[18, 16, 15], Operations: ['90/6=15']
Exploring Operation: 18-16=2, Resulting Numbers: [15, 2]
Generated Node #3: [15, 2] from Operation: 18-16=2
Current State: 30:[15, 2], Operations: ['90/6=15', '18-16=2']
Exploring Operation: 15*2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
3,
8,
14,
35
] | 73 | [
"3*8=24",
"14+35=49",
"24+49=73"
] | Current State: 73:[3, 8, 14, 35], Operations: []
Exploring Operation: 3*8=24, Resulting Numbers: [14, 35, 24]
Generated Node #2: [14, 35, 24] from Operation: 3*8=24
Current State: 73:[14, 35, 24], Operations: ['3*8=24']
Exploring Operation: 14+35=49, Resulting Numbers: [24, 49]
Generated Node #3: [24, 49] from Operation: 14+35=49
Current State: 73:[24, 49], Operations: ['3*8=24', '14+35=49']
Exploring Operation: 24+49=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
87,
2,
7,
76
] | 78 | [
"87-7=80",
"76+80=156",
"156/2=78"
] | Current State: 78:[87, 2, 7, 76], Operations: []
Exploring Operation: 87-7=80, Resulting Numbers: [2, 76, 80]
Generated Node #2: [2, 76, 80] from Operation: 87-7=80
Current State: 78:[2, 76, 80], Operations: ['87-7=80']
Exploring Operation: 76+80=156, Resulting Numbers: [2, 156]
Generated Node #3: [2, 156] from Operation: 76+80=156
Current State: 78:[2, 156], Operations: ['87-7=80', '76+80=156']
Exploring Operation: 156/2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
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