nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
24,
18,
21,
85
] | 22 | [
"24+18=42",
"85-21=64",
"64-42=22"
] | Current State: 22:[24, 18, 21, 85], Operations: []
Exploring Operation: 24+18=42, Resulting Numbers: [21, 85, 42]
Generated Node #2: [21, 85, 42] from Operation: 24+18=42
Current State: 22:[21, 85, 42], Operations: ['24+18=42']
Exploring Operation: 85-21=64, Resulting Numbers: [42, 64]
Generated Node #3: [42, 64] from Operation: 85-21=64
Current State: 22:[42, 64], Operations: ['24+18=42', '85-21=64']
Exploring Operation: 64-42=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
28,
75,
8,
19
] | 35 | [
"75-19=56",
"56/8=7",
"28+7=35"
] | Current State: 35:[28, 75, 8, 19], Operations: []
Exploring Operation: 75-19=56, Resulting Numbers: [28, 8, 56]
Generated Node #2: [28, 8, 56] from Operation: 75-19=56
Current State: 35:[28, 8, 56], Operations: ['75-19=56']
Exploring Operation: 56/8=7, Resulting Numbers: [28, 7]
Generated Node #3: [28, 7] from Operation: 56/8=7
Current State: 35:[28, 7], Operations: ['75-19=56', '56/8=7']
Exploring Operation: 28+7=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
30,
89,
61,
4
] | 92 | [
"30*4=120",
"89-61=28",
"120-28=92"
] | Current State: 92:[30, 89, 61, 4], Operations: []
Exploring Operation: 30*4=120, Resulting Numbers: [89, 61, 120]
Generated Node #2: [89, 61, 120] from Operation: 30*4=120
Current State: 92:[89, 61, 120], Operations: ['30*4=120']
Exploring Operation: 89-61=28, Resulting Numbers: [120, 28]
Generated Node #3: [120, 28] from Operation: 89-61=28
Current State: 92:[120, 28], Operations: ['30*4=120', '89-61=28']
Exploring Operation: 120-28=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
19,
3,
9,
49
] | 81 | [
"49-19=30",
"3*30=90",
"90-9=81"
] | Current State: 81:[19, 3, 9, 49], Operations: []
Exploring Operation: 49-19=30, Resulting Numbers: [3, 9, 30]
Generated Node #2: [3, 9, 30] from Operation: 49-19=30
Current State: 81:[3, 9, 30], Operations: ['49-19=30']
Exploring Operation: 3*30=90, Resulting Numbers: [9, 90]
Generated Node #3: [9, 90] from Operation: 3*30=90
Current State: 81:[9, 90], Operations: ['49-19=30', '3*30=90']
Exploring Operation: 90-9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
28,
22,
29,
54
] | 84 | [
"22+29=51",
"54-51=3",
"28*3=84"
] | Current State: 84:[28, 22, 29, 54], Operations: []
Exploring Operation: 22+29=51, Resulting Numbers: [28, 54, 51]
Generated Node #2: [28, 54, 51] from Operation: 22+29=51
Current State: 84:[28, 54, 51], Operations: ['22+29=51']
Exploring Operation: 54-51=3, Resulting Numbers: [28, 3]
Generated Node #3: [28, 3] from Operation: 54-51=3
Current State: 84:[28, 3], Operations: ['22+29=51', '54-51=3']
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
39,
97,
68,
1
] | 67 | [
"39+97=136",
"68+1=69",
"136-69=67"
] | Current State: 67:[39, 97, 68, 1], Operations: []
Exploring Operation: 39+97=136, Resulting Numbers: [68, 1, 136]
Generated Node #2: [68, 1, 136] from Operation: 39+97=136
Current State: 67:[68, 1, 136], Operations: ['39+97=136']
Exploring Operation: 68+1=69, Resulting Numbers: [136, 69]
Generated Node #3: [136, 69] from Operation: 68+1=69
Current State: 67:[136, 69], Operations: ['39+97=136', '68+1=69']
Exploring Operation: 136-69=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
20,
70,
2,
73
] | 18 | [
"73-20=53",
"70/2=35",
"53-35=18"
] | Current State: 18:[20, 70, 2, 73], Operations: []
Exploring Operation: 73-20=53, Resulting Numbers: [70, 2, 53]
Generated Node #2: [70, 2, 53] from Operation: 73-20=53
Current State: 18:[70, 2, 53], Operations: ['73-20=53']
Exploring Operation: 70/2=35, Resulting Numbers: [53, 35]
Generated Node #3: [53, 35] from Operation: 70/2=35
Current State: 18:[53, 35], Operations: ['73-20=53', '70/2=35']
Exploring Operation: 53-35=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
3,
57,
50,
78
] | 43 | [
"3*57=171",
"50+78=128",
"171-128=43"
] | Current State: 43:[3, 57, 50, 78], Operations: []
Exploring Operation: 3*57=171, Resulting Numbers: [50, 78, 171]
Generated Node #2: [50, 78, 171] from Operation: 3*57=171
Current State: 43:[50, 78, 171], Operations: ['3*57=171']
Exploring Operation: 50+78=128, Resulting Numbers: [171, 128]
Generated Node #3: [171, 128] from Operation: 50+78=128
Current State: 43:[171, 128], Operations: ['3*57=171', '50+78=128']
Exploring Operation: 171-128=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
8,
82,
38,
49
] | 64 | [
"82+38=120",
"120/8=15",
"49+15=64"
] | Current State: 64:[8, 82, 38, 49], Operations: []
Exploring Operation: 82+38=120, Resulting Numbers: [8, 49, 120]
Generated Node #2: [8, 49, 120] from Operation: 82+38=120
Current State: 64:[8, 49, 120], Operations: ['82+38=120']
Exploring Operation: 120/8=15, Resulting Numbers: [49, 15]
Generated Node #3: [49, 15] from Operation: 120/8=15
Current State: 64:[49, 15], Operations: ['82+38=120', '120/8=15']
Exploring Operation: 49+15=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
82,
96,
11,
13
] | 34 | [
"13-11=2",
"96/2=48",
"82-48=34"
] | Current State: 34:[82, 96, 11, 13], Operations: []
Exploring Operation: 13-11=2, Resulting Numbers: [82, 96, 2]
Generated Node #2: [82, 96, 2] from Operation: 13-11=2
Current State: 34:[82, 96, 2], Operations: ['13-11=2']
Exploring Operation: 96/2=48, Resulting Numbers: [82, 48]
Generated Node #3: [82, 48] from Operation: 96/2=48
Current State: 34:[82, 48], Operations: ['13-11=2', '96/2=48']
Exploring Operation: 82-48=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
42,
31,
58,
92
] | 39 | [
"42+31=73",
"92-58=34",
"73-34=39"
] | Current State: 39:[42, 31, 58, 92], Operations: []
Exploring Operation: 42+31=73, Resulting Numbers: [58, 92, 73]
Generated Node #2: [58, 92, 73] from Operation: 42+31=73
Current State: 39:[58, 92, 73], Operations: ['42+31=73']
Exploring Operation: 92-58=34, Resulting Numbers: [73, 34]
Generated Node #3: [73, 34] from Operation: 92-58=34
Current State: 39:[73, 34], Operations: ['42+31=73', '92-58=34']
Exploring Operation: 73-34=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
85,
9,
44,
88
] | 67 | [
"9*88=792",
"792/44=18",
"85-18=67"
] | Current State: 67:[85, 9, 44, 88], Operations: []
Exploring Operation: 9*88=792, Resulting Numbers: [85, 44, 792]
Generated Node #2: [85, 44, 792] from Operation: 9*88=792
Current State: 67:[85, 44, 792], Operations: ['9*88=792']
Exploring Operation: 792/44=18, Resulting Numbers: [85, 18]
Generated Node #3: [85, 18] from Operation: 792/44=18
Current State: 67:[85, 18], Operations: ['9*88=792', '792/44=18']
Exploring Operation: 85-18=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
31,
24,
27,
5
] | 25 | [
"31-24=7",
"27+5=32",
"32-7=25"
] | Current State: 25:[31, 24, 27, 5], Operations: []
Exploring Operation: 31-24=7, Resulting Numbers: [27, 5, 7]
Generated Node #2: [27, 5, 7] from Operation: 31-24=7
Current State: 25:[27, 5, 7], Operations: ['31-24=7']
Exploring Operation: 27+5=32, Resulting Numbers: [7, 32]
Generated Node #3: [7, 32] from Operation: 27+5=32
Current State: 25:[7, 32], Operations: ['31-24=7', '27+5=32']
Exploring Operation: 32-7=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
30,
92,
98,
52
] | 15 | [
"98-52=46",
"30*46=1380",
"1380/92=15"
] | Current State: 15:[30, 92, 98, 52], Operations: []
Exploring Operation: 98-52=46, Resulting Numbers: [30, 92, 46]
Generated Node #2: [30, 92, 46] from Operation: 98-52=46
Current State: 15:[30, 92, 46], Operations: ['98-52=46']
Exploring Operation: 30*46=1380, Resulting Numbers: [92, 1380]
Generated Node #3: [92, 1380] from Operation: 30*46=1380
Current State: 15:[92, 1380], Operations: ['98-52=46', '30*46=1380']
Exploring Operation: 1380/92=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
5,
69,
78,
81
] | 61 | [
"69-5=64",
"81-78=3",
"64-3=61"
] | Current State: 61:[5, 69, 78, 81], Operations: []
Exploring Operation: 69-5=64, Resulting Numbers: [78, 81, 64]
Generated Node #2: [78, 81, 64] from Operation: 69-5=64
Current State: 61:[78, 81, 64], Operations: ['69-5=64']
Exploring Operation: 81-78=3, Resulting Numbers: [64, 3]
Generated Node #3: [64, 3] from Operation: 81-78=3
Current State: 61:[64, 3], Operations: ['69-5=64', '81-78=3']
Exploring Operation: 64-3=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
60,
80,
5,
5
] | 33 | [
"60+80=140",
"140/5=28",
"5+28=33"
] | Current State: 33:[60, 80, 5, 5], Operations: []
Exploring Operation: 60+80=140, Resulting Numbers: [5, 5, 140]
Generated Node #2: [5, 5, 140] from Operation: 60+80=140
Current State: 33:[5, 5, 140], Operations: ['60+80=140']
Exploring Operation: 140/5=28, Resulting Numbers: [28]
28,33 equal: Goal Reached
Exploring Operation: 5+28=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
49,
25,
62,
49
] | 88 | [
"49/49=1",
"25+62=87",
"1+87=88"
] | Current State: 88:[49, 25, 62, 49], Operations: []
Exploring Operation: 49/49=1, Resulting Numbers: [25, 62, 1]
Generated Node #2: [25, 62, 1] from Operation: 49/49=1
Current State: 88:[25, 62, 1], Operations: ['49/49=1']
Exploring Operation: 25+62=87, Resulting Numbers: [1, 87]
Generated Node #3: [1, 87] from Operation: 25+62=87
Current State: 88:[1, 87], Operations: ['49/49=1', '25+62=87']
Exploring Operation: 1+87=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
4,
95,
90,
18
] | 19 | [
"95-4=91",
"90-18=72",
"91-72=19"
] | Current State: 19:[4, 95, 90, 18], Operations: []
Exploring Operation: 95-4=91, Resulting Numbers: [90, 18, 91]
Generated Node #2: [90, 18, 91] from Operation: 95-4=91
Current State: 19:[90, 18, 91], Operations: ['95-4=91']
Exploring Operation: 90-18=72, Resulting Numbers: [91, 72]
Generated Node #3: [91, 72] from Operation: 90-18=72
Current State: 19:[91, 72], Operations: ['95-4=91', '90-18=72']
Exploring Operation: 91-72=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
79,
67,
2,
21
] | 38 | [
"79-21=58",
"58/2=29",
"67-29=38"
] | Current State: 38:[79, 67, 2, 21], Operations: []
Exploring Operation: 79-21=58, Resulting Numbers: [67, 2, 58]
Generated Node #2: [67, 2, 58] from Operation: 79-21=58
Current State: 38:[67, 2, 58], Operations: ['79-21=58']
Exploring Operation: 58/2=29, Resulting Numbers: [67, 29]
Generated Node #3: [67, 29] from Operation: 58/2=29
Current State: 38:[67, 29], Operations: ['79-21=58', '58/2=29']
Exploring Operation: 67-29=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
70,
25,
51,
66
] | 60 | [
"70-25=45",
"66-51=15",
"45+15=60"
] | Current State: 60:[70, 25, 51, 66], Operations: []
Exploring Operation: 70-25=45, Resulting Numbers: [51, 66, 45]
Generated Node #2: [51, 66, 45] from Operation: 70-25=45
Current State: 60:[51, 66, 45], Operations: ['70-25=45']
Exploring Operation: 66-51=15, Resulting Numbers: [45, 15]
Generated Node #3: [45, 15] from Operation: 66-51=15
Current State: 60:[45, 15], Operations: ['70-25=45', '66-51=15']
Exploring Operation: 45+15=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
57,
24,
90,
73
] | 71 | [
"24+90=114",
"114/57=2",
"73-2=71"
] | Current State: 71:[57, 24, 90, 73], Operations: []
Exploring Operation: 24+90=114, Resulting Numbers: [57, 73, 114]
Generated Node #2: [57, 73, 114] from Operation: 24+90=114
Current State: 71:[57, 73, 114], Operations: ['24+90=114']
Exploring Operation: 114/57=2, Resulting Numbers: [73, 2]
Generated Node #3: [73, 2] from Operation: 114/57=2
Current State: 71:[73, 2], Operations: ['24+90=114', '114/57=2']
Exploring Operation: 73-2=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
91,
20,
40,
52
] | 65 | [
"40/20=2",
"52/2=26",
"91-26=65"
] | Current State: 65:[91, 20, 40, 52], Operations: []
Exploring Operation: 40/20=2, Resulting Numbers: [91, 52, 2]
Generated Node #2: [91, 52, 2] from Operation: 40/20=2
Current State: 65:[91, 52, 2], Operations: ['40/20=2']
Exploring Operation: 52/2=26, Resulting Numbers: [91, 26]
Generated Node #3: [91, 26] from Operation: 52/2=26
Current State: 65:[91, 26], Operations: ['40/20=2', '52/2=26']
Exploring Operation: 91-26=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
95,
65,
63,
40
] | 67 | [
"95+65=160",
"160/40=4",
"63+4=67"
] | Current State: 67:[95, 65, 63, 40], Operations: []
Exploring Operation: 95+65=160, Resulting Numbers: [63, 40, 160]
Generated Node #2: [63, 40, 160] from Operation: 95+65=160
Current State: 67:[63, 40, 160], Operations: ['95+65=160']
Exploring Operation: 160/40=4, Resulting Numbers: [63, 4]
Generated Node #3: [63, 4] from Operation: 160/40=4
Current State: 67:[63, 4], Operations: ['95+65=160', '160/40=4']
Exploring Operation: 63+4=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
91,
8,
71,
98
] | 86 | [
"91-8=83",
"71+98=169",
"169-83=86"
] | Current State: 86:[91, 8, 71, 98], Operations: []
Exploring Operation: 91-8=83, Resulting Numbers: [71, 98, 83]
Generated Node #2: [71, 98, 83] from Operation: 91-8=83
Current State: 86:[71, 98, 83], Operations: ['91-8=83']
Exploring Operation: 71+98=169, Resulting Numbers: [83, 169]
Generated Node #3: [83, 169] from Operation: 71+98=169
Current State: 86:[83, 169], Operations: ['91-8=83', '71+98=169']
Exploring Operation: 169-83=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
23,
64,
6,
64
] | 23 | [
"64-64=0",
"6*0=0",
"23+0=23"
] | Current State: 23:[23, 64, 6, 64], Operations: []
Exploring Operation: 64-64=0, Resulting Numbers: [23, 6, 0]
Generated Node #2: [23, 6, 0] from Operation: 64-64=0
Current State: 23:[23, 6, 0], Operations: ['64-64=0']
Exploring Operation: 6*0=0, Resulting Numbers: [23, 0]
Generated Node #3: [23, 0] from Operation: 6*0=0
Current State: 23:[23, 0], Operations: ['64-64=0', '6*0=0']
Exploring Operation: 23+0=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
34,
2,
93,
28
] | 53 | [
"34*2=68",
"93+28=121",
"121-68=53"
] | Current State: 53:[34, 2, 93, 28], Operations: []
Exploring Operation: 34*2=68, Resulting Numbers: [93, 28, 68]
Generated Node #2: [93, 28, 68] from Operation: 34*2=68
Current State: 53:[93, 28, 68], Operations: ['34*2=68']
Exploring Operation: 93+28=121, Resulting Numbers: [68, 121]
Generated Node #3: [68, 121] from Operation: 93+28=121
Current State: 53:[68, 121], Operations: ['34*2=68', '93+28=121']
Exploring Operation: 121-68=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
95,
27,
4,
36
] | 92 | [
"27*4=108",
"108/36=3",
"95-3=92"
] | Current State: 92:[95, 27, 4, 36], Operations: []
Exploring Operation: 27*4=108, Resulting Numbers: [95, 36, 108]
Generated Node #2: [95, 36, 108] from Operation: 27*4=108
Current State: 92:[95, 36, 108], Operations: ['27*4=108']
Exploring Operation: 108/36=3, Resulting Numbers: [95, 3]
Generated Node #3: [95, 3] from Operation: 108/36=3
Current State: 92:[95, 3], Operations: ['27*4=108', '108/36=3']
Exploring Operation: 95-3=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
38,
57,
11,
48
] | 58 | [
"38+57=95",
"48-11=37",
"95-37=58"
] | Current State: 58:[38, 57, 11, 48], Operations: []
Exploring Operation: 38+57=95, Resulting Numbers: [11, 48, 95]
Generated Node #2: [11, 48, 95] from Operation: 38+57=95
Current State: 58:[11, 48, 95], Operations: ['38+57=95']
Exploring Operation: 48-11=37, Resulting Numbers: [95, 37]
Generated Node #3: [95, 37] from Operation: 48-11=37
Current State: 58:[95, 37], Operations: ['38+57=95', '48-11=37']
Exploring Operation: 95-37=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
42,
52,
44,
37
] | 91 | [
"52-42=10",
"44+37=81",
"10+81=91"
] | Current State: 91:[42, 52, 44, 37], Operations: []
Exploring Operation: 52-42=10, Resulting Numbers: [44, 37, 10]
Generated Node #2: [44, 37, 10] from Operation: 52-42=10
Current State: 91:[44, 37, 10], Operations: ['52-42=10']
Exploring Operation: 44+37=81, Resulting Numbers: [10, 81]
Generated Node #3: [10, 81] from Operation: 44+37=81
Current State: 91:[10, 81], Operations: ['52-42=10', '44+37=81']
Exploring Operation: 10+81=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
95,
55,
67,
15
] | 85 | [
"67-55=12",
"15*12=180",
"180-95=85"
] | Current State: 85:[95, 55, 67, 15], Operations: []
Exploring Operation: 67-55=12, Resulting Numbers: [95, 15, 12]
Generated Node #2: [95, 15, 12] from Operation: 67-55=12
Current State: 85:[95, 15, 12], Operations: ['67-55=12']
Exploring Operation: 15*12=180, Resulting Numbers: [95, 180]
Generated Node #3: [95, 180] from Operation: 15*12=180
Current State: 85:[95, 180], Operations: ['67-55=12', '15*12=180']
Exploring Operation: 180-95=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
29,
19,
4,
14
] | 58 | [
"29+19=48",
"14-4=10",
"48+10=58"
] | Current State: 58:[29, 19, 4, 14], Operations: []
Exploring Operation: 29+19=48, Resulting Numbers: [4, 14, 48]
Generated Node #2: [4, 14, 48] from Operation: 29+19=48
Current State: 58:[4, 14, 48], Operations: ['29+19=48']
Exploring Operation: 14-4=10, Resulting Numbers: [48, 10]
Generated Node #3: [48, 10] from Operation: 14-4=10
Current State: 58:[48, 10], Operations: ['29+19=48', '14-4=10']
Exploring Operation: 48+10=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
33,
98,
46,
48
] | 67 | [
"98-33=65",
"48-46=2",
"65+2=67"
] | Current State: 67:[33, 98, 46, 48], Operations: []
Exploring Operation: 98-33=65, Resulting Numbers: [46, 48, 65]
Generated Node #2: [46, 48, 65] from Operation: 98-33=65
Current State: 67:[46, 48, 65], Operations: ['98-33=65']
Exploring Operation: 48-46=2, Resulting Numbers: [65, 2]
Generated Node #3: [65, 2] from Operation: 48-46=2
Current State: 67:[65, 2], Operations: ['98-33=65', '48-46=2']
Exploring Operation: 65+2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
14,
7,
40,
57
] | 21 | [
"14+40=54",
"57-54=3",
"7*3=21"
] | Current State: 21:[14, 7, 40, 57], Operations: []
Exploring Operation: 14+40=54, Resulting Numbers: [7, 57, 54]
Generated Node #2: [7, 57, 54] from Operation: 14+40=54
Current State: 21:[7, 57, 54], Operations: ['14+40=54']
Exploring Operation: 57-54=3, Resulting Numbers: [7, 3]
Generated Node #3: [7, 3] from Operation: 57-54=3
Current State: 21:[7, 3], Operations: ['14+40=54', '57-54=3']
Exploring Operation: 7*3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
63,
7,
84,
77
] | 12 | [
"63+7=70",
"77-70=7",
"84/7=12"
] | Current State: 12:[63, 7, 84, 77], Operations: []
Exploring Operation: 63+7=70, Resulting Numbers: [84, 77, 70]
Generated Node #2: [84, 77, 70] from Operation: 63+7=70
Current State: 12:[84, 77, 70], Operations: ['63+7=70']
Exploring Operation: 77-70=7, Resulting Numbers: [84, 7]
Generated Node #3: [84, 7] from Operation: 77-70=7
Current State: 12:[84, 7], Operations: ['63+7=70', '77-70=7']
Exploring Operation: 84/7=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
62,
13,
36,
60
] | 31 | [
"62-60=2",
"36/2=18",
"13+18=31"
] | Current State: 31:[62, 13, 36, 60], Operations: []
Exploring Operation: 62-60=2, Resulting Numbers: [13, 36, 2]
Generated Node #2: [13, 36, 2] from Operation: 62-60=2
Current State: 31:[13, 36, 2], Operations: ['62-60=2']
Exploring Operation: 36/2=18, Resulting Numbers: [13, 18]
Generated Node #3: [13, 18] from Operation: 36/2=18
Current State: 31:[13, 18], Operations: ['62-60=2', '36/2=18']
Exploring Operation: 13+18=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
69,
16,
93,
3
] | 100 | [
"69/3=23",
"93-16=77",
"23+77=100"
] | Current State: 100:[69, 16, 93, 3], Operations: []
Exploring Operation: 69/3=23, Resulting Numbers: [16, 93, 23]
Generated Node #2: [16, 93, 23] from Operation: 69/3=23
Current State: 100:[16, 93, 23], Operations: ['69/3=23']
Exploring Operation: 93-16=77, Resulting Numbers: [23, 77]
Generated Node #3: [23, 77] from Operation: 93-16=77
Current State: 100:[23, 77], Operations: ['69/3=23', '93-16=77']
Exploring Operation: 23+77=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
84,
42,
90,
54
] | 67 | [
"84*42=3528",
"90+3528=3618",
"3618/54=67"
] | Current State: 67:[84, 42, 90, 54], Operations: []
Exploring Operation: 84*42=3528, Resulting Numbers: [90, 54, 3528]
Generated Node #2: [90, 54, 3528] from Operation: 84*42=3528
Current State: 67:[90, 54, 3528], Operations: ['84*42=3528']
Exploring Operation: 90+3528=3618, Resulting Numbers: [54, 3618]
Generated Node #3: [54, 3618] from Operation: 90+3528=3618
Current State: 67:[54, 3618], Operations: ['84*42=3528', '90+3528=3618']
Exploring Operation: 3618/54=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
3,
56,
8,
93
] | 87 | [
"56+8=64",
"93-64=29",
"3*29=87"
] | Current State: 87:[3, 56, 8, 93], Operations: []
Exploring Operation: 56+8=64, Resulting Numbers: [3, 93, 64]
Generated Node #2: [3, 93, 64] from Operation: 56+8=64
Current State: 87:[3, 93, 64], Operations: ['56+8=64']
Exploring Operation: 93-64=29, Resulting Numbers: [3, 29]
Generated Node #3: [3, 29] from Operation: 93-64=29
Current State: 87:[3, 29], Operations: ['56+8=64', '93-64=29']
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
58,
67,
31,
59
] | 98 | [
"59-58=1",
"67+31=98",
"1*98=98"
] | Current State: 98:[58, 67, 31, 59], Operations: []
Exploring Operation: 59-58=1, Resulting Numbers: [67, 31, 1]
Generated Node #2: [67, 31, 1] from Operation: 59-58=1
Current State: 98:[67, 31, 1], Operations: ['59-58=1']
Exploring Operation: 67+31=98, Resulting Numbers: [1, 98]
Generated Node #3: [1, 98] from Operation: 67+31=98
Current State: 98:[1, 98], Operations: ['59-58=1', '67+31=98']
Exploring Operation: 1*98=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
36,
95,
92,
87
] | 85 | [
"92-87=5",
"36*5=180",
"180-95=85"
] | Current State: 85:[36, 95, 92, 87], Operations: []
Exploring Operation: 92-87=5, Resulting Numbers: [36, 95, 5]
Generated Node #2: [36, 95, 5] from Operation: 92-87=5
Current State: 85:[36, 95, 5], Operations: ['92-87=5']
Exploring Operation: 36*5=180, Resulting Numbers: [95, 180]
Generated Node #3: [95, 180] from Operation: 36*5=180
Current State: 85:[95, 180], Operations: ['92-87=5', '36*5=180']
Exploring Operation: 180-95=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
89,
52,
82,
68
] | 23 | [
"89-52=37",
"82-68=14",
"37-14=23"
] | Current State: 23:[89, 52, 82, 68], Operations: []
Exploring Operation: 89-52=37, Resulting Numbers: [82, 68, 37]
Generated Node #2: [82, 68, 37] from Operation: 89-52=37
Current State: 23:[82, 68, 37], Operations: ['89-52=37']
Exploring Operation: 82-68=14, Resulting Numbers: [37, 14]
Generated Node #3: [37, 14] from Operation: 82-68=14
Current State: 23:[37, 14], Operations: ['89-52=37', '82-68=14']
Exploring Operation: 37-14=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
68,
16,
10,
80
] | 40 | [
"68+16=84",
"84-80=4",
"10*4=40"
] | Current State: 40:[68, 16, 10, 80], Operations: []
Exploring Operation: 68+16=84, Resulting Numbers: [10, 80, 84]
Generated Node #2: [10, 80, 84] from Operation: 68+16=84
Current State: 40:[10, 80, 84], Operations: ['68+16=84']
Exploring Operation: 84-80=4, Resulting Numbers: [10, 4]
Generated Node #3: [10, 4] from Operation: 84-80=4
Current State: 40:[10, 4], Operations: ['68+16=84', '84-80=4']
Exploring Operation: 10*4=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
82,
38,
2,
2
] | 77 | [
"82/2=41",
"38-2=36",
"41+36=77"
] | Current State: 77:[82, 38, 2, 2], Operations: []
Exploring Operation: 82/2=41, Resulting Numbers: [38, 41]
Generated Node #2: [38, 41] from Operation: 82/2=41
Current State: 77:[38, 41], Operations: ['82/2=41']
Exploring Operation: 38-2=36, Resulting Numbers: [41, 36]
Generated Node #3: [41, 36] from Operation: 38-2=36
Current State: 77:[41, 36], Operations: ['82/2=41', '38-2=36']
Exploring Operation: 41+36=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
81,
34,
19,
61
] | 33 | [
"81-34=47",
"19+61=80",
"80-47=33"
] | Current State: 33:[81, 34, 19, 61], Operations: []
Exploring Operation: 81-34=47, Resulting Numbers: [19, 61, 47]
Generated Node #2: [19, 61, 47] from Operation: 81-34=47
Current State: 33:[19, 61, 47], Operations: ['81-34=47']
Exploring Operation: 19+61=80, Resulting Numbers: [47, 80]
Generated Node #3: [47, 80] from Operation: 19+61=80
Current State: 33:[47, 80], Operations: ['81-34=47', '19+61=80']
Exploring Operation: 80-47=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
1,
74,
9,
5
] | 61 | [
"1+74=75",
"9+5=14",
"75-14=61"
] | Current State: 61:[1, 74, 9, 5], Operations: []
Exploring Operation: 1+74=75, Resulting Numbers: [9, 5, 75]
Generated Node #2: [9, 5, 75] from Operation: 1+74=75
Current State: 61:[9, 5, 75], Operations: ['1+74=75']
Exploring Operation: 9+5=14, Resulting Numbers: [75, 14]
Generated Node #3: [75, 14] from Operation: 9+5=14
Current State: 61:[75, 14], Operations: ['1+74=75', '9+5=14']
Exploring Operation: 75-14=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
48,
21,
43,
8
] | 24 | [
"48-21=27",
"43+8=51",
"51-27=24"
] | Current State: 24:[48, 21, 43, 8], Operations: []
Exploring Operation: 48-21=27, Resulting Numbers: [43, 8, 27]
Generated Node #2: [43, 8, 27] from Operation: 48-21=27
Current State: 24:[43, 8, 27], Operations: ['48-21=27']
Exploring Operation: 43+8=51, Resulting Numbers: [27, 51]
Generated Node #3: [27, 51] from Operation: 43+8=51
Current State: 24:[27, 51], Operations: ['48-21=27', '43+8=51']
Exploring Operation: 51-27=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
20,
21,
39,
37
] | 40 | [
"21+39=60",
"60/20=3",
"37+3=40"
] | Current State: 40:[20, 21, 39, 37], Operations: []
Exploring Operation: 21+39=60, Resulting Numbers: [20, 37, 60]
Generated Node #2: [20, 37, 60] from Operation: 21+39=60
Current State: 40:[20, 37, 60], Operations: ['21+39=60']
Exploring Operation: 60/20=3, Resulting Numbers: [37, 3]
Generated Node #3: [37, 3] from Operation: 60/20=3
Current State: 40:[37, 3], Operations: ['21+39=60', '60/20=3']
Exploring Operation: 37+3=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
78,
45,
25,
2
] | 73 | [
"78+45=123",
"25*2=50",
"123-50=73"
] | Current State: 73:[78, 45, 25, 2], Operations: []
Exploring Operation: 78+45=123, Resulting Numbers: [25, 2, 123]
Generated Node #2: [25, 2, 123] from Operation: 78+45=123
Current State: 73:[25, 2, 123], Operations: ['78+45=123']
Exploring Operation: 25*2=50, Resulting Numbers: [123, 50]
Generated Node #3: [123, 50] from Operation: 25*2=50
Current State: 73:[123, 50], Operations: ['78+45=123', '25*2=50']
Exploring Operation: 123-50=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
9,
55,
53,
71
] | 46 | [
"9+55=64",
"71-53=18",
"64-18=46"
] | Current State: 46:[9, 55, 53, 71], Operations: []
Exploring Operation: 9+55=64, Resulting Numbers: [53, 71, 64]
Generated Node #2: [53, 71, 64] from Operation: 9+55=64
Current State: 46:[53, 71, 64], Operations: ['9+55=64']
Exploring Operation: 71-53=18, Resulting Numbers: [64, 18]
Generated Node #3: [64, 18] from Operation: 71-53=18
Current State: 46:[64, 18], Operations: ['9+55=64', '71-53=18']
Exploring Operation: 64-18=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
75,
16,
52,
72
] | 39 | [
"75-16=59",
"72-52=20",
"59-20=39"
] | Current State: 39:[75, 16, 52, 72], Operations: []
Exploring Operation: 75-16=59, Resulting Numbers: [52, 72, 59]
Generated Node #2: [52, 72, 59] from Operation: 75-16=59
Current State: 39:[52, 72, 59], Operations: ['75-16=59']
Exploring Operation: 72-52=20, Resulting Numbers: [59, 20]
Generated Node #3: [59, 20] from Operation: 72-52=20
Current State: 39:[59, 20], Operations: ['75-16=59', '72-52=20']
Exploring Operation: 59-20=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
9,
54,
11,
38
] | 28 | [
"54/9=6",
"11*6=66",
"66-38=28"
] | Current State: 28:[9, 54, 11, 38], Operations: []
Exploring Operation: 54/9=6, Resulting Numbers: [11, 38, 6]
Generated Node #2: [11, 38, 6] from Operation: 54/9=6
Current State: 28:[11, 38, 6], Operations: ['54/9=6']
Exploring Operation: 11*6=66, Resulting Numbers: [38, 66]
Generated Node #3: [38, 66] from Operation: 11*6=66
Current State: 28:[38, 66], Operations: ['54/9=6', '11*6=66']
Exploring Operation: 66-38=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
59,
98,
90,
29
] | 49 | [
"90-59=31",
"31-29=2",
"98/2=49"
] | Current State: 49:[59, 98, 90, 29], Operations: []
Exploring Operation: 90-59=31, Resulting Numbers: [98, 29, 31]
Generated Node #2: [98, 29, 31] from Operation: 90-59=31
Current State: 49:[98, 29, 31], Operations: ['90-59=31']
Exploring Operation: 31-29=2, Resulting Numbers: [98, 2]
Generated Node #3: [98, 2] from Operation: 31-29=2
Current State: 49:[98, 2], Operations: ['90-59=31', '31-29=2']
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
72,
87,
98,
46
] | 89 | [
"98+46=144",
"144/72=2",
"87+2=89"
] | Current State: 89:[72, 87, 98, 46], Operations: []
Exploring Operation: 98+46=144, Resulting Numbers: [72, 87, 144]
Generated Node #2: [72, 87, 144] from Operation: 98+46=144
Current State: 89:[72, 87, 144], Operations: ['98+46=144']
Exploring Operation: 144/72=2, Resulting Numbers: [87, 2]
Generated Node #3: [87, 2] from Operation: 144/72=2
Current State: 89:[87, 2], Operations: ['98+46=144', '144/72=2']
Exploring Operation: 87+2=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
21,
81,
2,
59
] | 86 | [
"21+81=102",
"102-59=43",
"2*43=86"
] | Current State: 86:[21, 81, 2, 59], Operations: []
Exploring Operation: 21+81=102, Resulting Numbers: [2, 59, 102]
Generated Node #2: [2, 59, 102] from Operation: 21+81=102
Current State: 86:[2, 59, 102], Operations: ['21+81=102']
Exploring Operation: 102-59=43, Resulting Numbers: [2, 43]
Generated Node #3: [2, 43] from Operation: 102-59=43
Current State: 86:[2, 43], Operations: ['21+81=102', '102-59=43']
Exploring Operation: 2*43=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
26,
97,
48,
65
] | 42 | [
"97-26=71",
"48+65=113",
"113-71=42"
] | Current State: 42:[26, 97, 48, 65], Operations: []
Exploring Operation: 97-26=71, Resulting Numbers: [48, 65, 71]
Generated Node #2: [48, 65, 71] from Operation: 97-26=71
Current State: 42:[48, 65, 71], Operations: ['97-26=71']
Exploring Operation: 48+65=113, Resulting Numbers: [71, 113]
Generated Node #3: [71, 113] from Operation: 48+65=113
Current State: 42:[71, 113], Operations: ['97-26=71', '48+65=113']
Exploring Operation: 113-71=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
71,
28,
94,
6
] | 45 | [
"71-28=43",
"94-6=88",
"88-43=45"
] | Current State: 45:[71, 28, 94, 6], Operations: []
Exploring Operation: 71-28=43, Resulting Numbers: [94, 6, 43]
Generated Node #2: [94, 6, 43] from Operation: 71-28=43
Current State: 45:[94, 6, 43], Operations: ['71-28=43']
Exploring Operation: 94-6=88, Resulting Numbers: [43, 88]
Generated Node #3: [43, 88] from Operation: 94-6=88
Current State: 45:[43, 88], Operations: ['71-28=43', '94-6=88']
Exploring Operation: 88-43=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
51,
16,
65,
82
] | 48 | [
"51*16=816",
"82-65=17",
"816/17=48"
] | Current State: 48:[51, 16, 65, 82], Operations: []
Exploring Operation: 51*16=816, Resulting Numbers: [65, 82, 816]
Generated Node #2: [65, 82, 816] from Operation: 51*16=816
Current State: 48:[65, 82, 816], Operations: ['51*16=816']
Exploring Operation: 82-65=17, Resulting Numbers: [816, 17]
Generated Node #3: [816, 17] from Operation: 82-65=17
Current State: 48:[816, 17], Operations: ['51*16=816', '82-65=17']
Exploring Operation: 816/17=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
81,
42,
77,
44
] | 79 | [
"81+77=158",
"44-42=2",
"158/2=79"
] | Current State: 79:[81, 42, 77, 44], Operations: []
Exploring Operation: 81+77=158, Resulting Numbers: [42, 44, 158]
Generated Node #2: [42, 44, 158] from Operation: 81+77=158
Current State: 79:[42, 44, 158], Operations: ['81+77=158']
Exploring Operation: 44-42=2, Resulting Numbers: [158, 2]
Generated Node #3: [158, 2] from Operation: 44-42=2
Current State: 79:[158, 2], Operations: ['81+77=158', '44-42=2']
Exploring Operation: 158/2=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
94,
7,
24,
85
] | 99 | [
"24-7=17",
"85/17=5",
"94+5=99"
] | Current State: 99:[94, 7, 24, 85], Operations: []
Exploring Operation: 24-7=17, Resulting Numbers: [94, 85, 17]
Generated Node #2: [94, 85, 17] from Operation: 24-7=17
Current State: 99:[94, 85, 17], Operations: ['24-7=17']
Exploring Operation: 85/17=5, Resulting Numbers: [94, 5]
Generated Node #3: [94, 5] from Operation: 85/17=5
Current State: 99:[94, 5], Operations: ['24-7=17', '85/17=5']
Exploring Operation: 94+5=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
84,
39,
31,
61
] | 47 | [
"84-39=45",
"31+61=92",
"92-45=47"
] | Current State: 47:[84, 39, 31, 61], Operations: []
Exploring Operation: 84-39=45, Resulting Numbers: [31, 61, 45]
Generated Node #2: [31, 61, 45] from Operation: 84-39=45
Current State: 47:[31, 61, 45], Operations: ['84-39=45']
Exploring Operation: 31+61=92, Resulting Numbers: [45, 92]
Generated Node #3: [45, 92] from Operation: 31+61=92
Current State: 47:[45, 92], Operations: ['84-39=45', '31+61=92']
Exploring Operation: 92-45=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
72,
87,
40,
56
] | 85 | [
"72+40=112",
"112/56=2",
"87-2=85"
] | Current State: 85:[72, 87, 40, 56], Operations: []
Exploring Operation: 72+40=112, Resulting Numbers: [87, 56, 112]
Generated Node #2: [87, 56, 112] from Operation: 72+40=112
Current State: 85:[87, 56, 112], Operations: ['72+40=112']
Exploring Operation: 112/56=2, Resulting Numbers: [87, 2]
Generated Node #3: [87, 2] from Operation: 112/56=2
Current State: 85:[87, 2], Operations: ['72+40=112', '112/56=2']
Exploring Operation: 87-2=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
90,
78,
83,
81
] | 45 | [
"90-81=9",
"83-78=5",
"9*5=45"
] | Current State: 45:[90, 78, 83, 81], Operations: []
Exploring Operation: 90-81=9, Resulting Numbers: [78, 83, 9]
Generated Node #2: [78, 83, 9] from Operation: 90-81=9
Current State: 45:[78, 83, 9], Operations: ['90-81=9']
Exploring Operation: 83-78=5, Resulting Numbers: [9, 5]
Generated Node #3: [9, 5] from Operation: 83-78=5
Current State: 45:[9, 5], Operations: ['90-81=9', '83-78=5']
Exploring Operation: 9*5=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
25,
35,
20,
10
] | 26 | [
"25+35=60",
"60/10=6",
"20+6=26"
] | Current State: 26:[25, 35, 20, 10], Operations: []
Exploring Operation: 25+35=60, Resulting Numbers: [20, 10, 60]
Generated Node #2: [20, 10, 60] from Operation: 25+35=60
Current State: 26:[20, 10, 60], Operations: ['25+35=60']
Exploring Operation: 60/10=6, Resulting Numbers: [20, 6]
Generated Node #3: [20, 6] from Operation: 60/10=6
Current State: 26:[20, 6], Operations: ['25+35=60', '60/10=6']
Exploring Operation: 20+6=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
68,
7,
76,
13
] | 13 | [
"68+7=75",
"76-75=1",
"13*1=13"
] | Current State: 13:[68, 7, 76, 13], Operations: []
Exploring Operation: 68+7=75, Resulting Numbers: [76, 13, 75]
Generated Node #2: [76, 13, 75] from Operation: 68+7=75
Current State: 13:[76, 13, 75], Operations: ['68+7=75']
Exploring Operation: 76-75=1, Resulting Numbers: [13, 1]
Generated Node #3: [13, 1] from Operation: 76-75=1
Current State: 13:[13, 1], Operations: ['68+7=75', '76-75=1']
Exploring Operation: 13*1=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
73,
49,
82,
96
] | 56 | [
"73+49=122",
"82+96=178",
"178-122=56"
] | Current State: 56:[73, 49, 82, 96], Operations: []
Exploring Operation: 73+49=122, Resulting Numbers: [82, 96, 122]
Generated Node #2: [82, 96, 122] from Operation: 73+49=122
Current State: 56:[82, 96, 122], Operations: ['73+49=122']
Exploring Operation: 82+96=178, Resulting Numbers: [122, 178]
Generated Node #3: [122, 178] from Operation: 82+96=178
Current State: 56:[122, 178], Operations: ['73+49=122', '82+96=178']
Exploring Operation: 178-122=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
29,
31,
84,
58
] | 11 | [
"29*84=2436",
"2436/58=42",
"42-31=11"
] | Current State: 11:[29, 31, 84, 58], Operations: []
Exploring Operation: 29*84=2436, Resulting Numbers: [31, 58, 2436]
Generated Node #2: [31, 58, 2436] from Operation: 29*84=2436
Current State: 11:[31, 58, 2436], Operations: ['29*84=2436']
Exploring Operation: 2436/58=42, Resulting Numbers: [31, 42]
Generated Node #3: [31, 42] from Operation: 2436/58=42
Current State: 11:[31, 42], Operations: ['29*84=2436', '2436/58=42']
Exploring Operation: 42-31=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
73,
87,
56,
16
] | 26 | [
"87-73=14",
"56-16=40",
"40-14=26"
] | Current State: 26:[73, 87, 56, 16], Operations: []
Exploring Operation: 87-73=14, Resulting Numbers: [56, 16, 14]
Generated Node #2: [56, 16, 14] from Operation: 87-73=14
Current State: 26:[56, 16, 14], Operations: ['87-73=14']
Exploring Operation: 56-16=40, Resulting Numbers: [14, 40]
Generated Node #3: [14, 40] from Operation: 56-16=40
Current State: 26:[14, 40], Operations: ['87-73=14', '56-16=40']
Exploring Operation: 40-14=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
76,
88,
77,
22
] | 43 | [
"88-76=12",
"77-22=55",
"55-12=43"
] | Current State: 43:[76, 88, 77, 22], Operations: []
Exploring Operation: 88-76=12, Resulting Numbers: [77, 22, 12]
Generated Node #2: [77, 22, 12] from Operation: 88-76=12
Current State: 43:[77, 22, 12], Operations: ['88-76=12']
Exploring Operation: 77-22=55, Resulting Numbers: [12, 55]
Generated Node #3: [12, 55] from Operation: 77-22=55
Current State: 43:[12, 55], Operations: ['88-76=12', '77-22=55']
Exploring Operation: 55-12=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
45,
43,
14,
39
] | 51 | [
"45-43=2",
"14+39=53",
"53-2=51"
] | Current State: 51:[45, 43, 14, 39], Operations: []
Exploring Operation: 45-43=2, Resulting Numbers: [14, 39, 2]
Generated Node #2: [14, 39, 2] from Operation: 45-43=2
Current State: 51:[14, 39, 2], Operations: ['45-43=2']
Exploring Operation: 14+39=53, Resulting Numbers: [2, 53]
Generated Node #3: [2, 53] from Operation: 14+39=53
Current State: 51:[2, 53], Operations: ['45-43=2', '14+39=53']
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
72,
36,
72,
52
] | 87 | [
"72/72=1",
"36+52=88",
"88-1=87"
] | Current State: 87:[72, 36, 72, 52], Operations: []
Exploring Operation: 72/72=1, Resulting Numbers: [36, 52, 1]
Generated Node #2: [36, 52, 1] from Operation: 72/72=1
Current State: 87:[36, 52, 1], Operations: ['72/72=1']
Exploring Operation: 36+52=88, Resulting Numbers: [1, 88]
Generated Node #3: [1, 88] from Operation: 36+52=88
Current State: 87:[1, 88], Operations: ['72/72=1', '36+52=88']
Exploring Operation: 88-1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
8,
64,
11,
80
] | 63 | [
"80/8=10",
"64-11=53",
"10+53=63"
] | Current State: 63:[8, 64, 11, 80], Operations: []
Exploring Operation: 80/8=10, Resulting Numbers: [64, 11, 10]
Generated Node #2: [64, 11, 10] from Operation: 80/8=10
Current State: 63:[64, 11, 10], Operations: ['80/8=10']
Exploring Operation: 64-11=53, Resulting Numbers: [10, 53]
Generated Node #3: [10, 53] from Operation: 64-11=53
Current State: 63:[10, 53], Operations: ['80/8=10', '64-11=53']
Exploring Operation: 10+53=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
8,
20,
29,
25
] | 52 | [
"29-25=4",
"8*4=32",
"20+32=52"
] | Current State: 52:[8, 20, 29, 25], Operations: []
Exploring Operation: 29-25=4, Resulting Numbers: [8, 20, 4]
Generated Node #2: [8, 20, 4] from Operation: 29-25=4
Current State: 52:[8, 20, 4], Operations: ['29-25=4']
Exploring Operation: 8*4=32, Resulting Numbers: [20, 32]
Generated Node #3: [20, 32] from Operation: 8*4=32
Current State: 52:[20, 32], Operations: ['29-25=4', '8*4=32']
Exploring Operation: 20+32=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
12,
4,
7,
35
] | 84 | [
"12/4=3",
"35-7=28",
"3*28=84"
] | Current State: 84:[12, 4, 7, 35], Operations: []
Exploring Operation: 12/4=3, Resulting Numbers: [7, 35, 3]
Generated Node #2: [7, 35, 3] from Operation: 12/4=3
Current State: 84:[7, 35, 3], Operations: ['12/4=3']
Exploring Operation: 35-7=28, Resulting Numbers: [3, 28]
Generated Node #3: [3, 28] from Operation: 35-7=28
Current State: 84:[3, 28], Operations: ['12/4=3', '35-7=28']
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
40,
56,
32,
36
] | 64 | [
"56-40=16",
"36-32=4",
"16*4=64"
] | Current State: 64:[40, 56, 32, 36], Operations: []
Exploring Operation: 56-40=16, Resulting Numbers: [32, 36, 16]
Generated Node #2: [32, 36, 16] from Operation: 56-40=16
Current State: 64:[32, 36, 16], Operations: ['56-40=16']
Exploring Operation: 36-32=4, Resulting Numbers: [16, 4]
Generated Node #3: [16, 4] from Operation: 36-32=4
Current State: 64:[16, 4], Operations: ['56-40=16', '36-32=4']
Exploring Operation: 16*4=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
52,
10,
24,
28
] | 36 | [
"52-10=42",
"24*42=1008",
"1008/28=36"
] | Current State: 36:[52, 10, 24, 28], Operations: []
Exploring Operation: 52-10=42, Resulting Numbers: [24, 28, 42]
Generated Node #2: [24, 28, 42] from Operation: 52-10=42
Current State: 36:[24, 28, 42], Operations: ['52-10=42']
Exploring Operation: 24*42=1008, Resulting Numbers: [28, 1008]
Generated Node #3: [28, 1008] from Operation: 24*42=1008
Current State: 36:[28, 1008], Operations: ['52-10=42', '24*42=1008']
Exploring Operation: 1008/28=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
34,
13,
66,
6
] | 46 | [
"34*13=442",
"66*6=396",
"442-396=46"
] | Current State: 46:[34, 13, 66, 6], Operations: []
Exploring Operation: 34*13=442, Resulting Numbers: [66, 6, 442]
Generated Node #2: [66, 6, 442] from Operation: 34*13=442
Current State: 46:[66, 6, 442], Operations: ['34*13=442']
Exploring Operation: 66*6=396, Resulting Numbers: [442, 396]
Generated Node #3: [442, 396] from Operation: 66*6=396
Current State: 46:[442, 396], Operations: ['34*13=442', '66*6=396']
Exploring Operation: 442-396=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
29,
1,
72,
67
] | 35 | [
"29+1=30",
"72-67=5",
"30+5=35"
] | Current State: 35:[29, 1, 72, 67], Operations: []
Exploring Operation: 29+1=30, Resulting Numbers: [72, 67, 30]
Generated Node #2: [72, 67, 30] from Operation: 29+1=30
Current State: 35:[72, 67, 30], Operations: ['29+1=30']
Exploring Operation: 72-67=5, Resulting Numbers: [30, 5]
Generated Node #3: [30, 5] from Operation: 72-67=5
Current State: 35:[30, 5], Operations: ['29+1=30', '72-67=5']
Exploring Operation: 30+5=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
9,
52,
30,
24
] | 97 | [
"52-9=43",
"30+24=54",
"43+54=97"
] | Current State: 97:[9, 52, 30, 24], Operations: []
Exploring Operation: 52-9=43, Resulting Numbers: [30, 24, 43]
Generated Node #2: [30, 24, 43] from Operation: 52-9=43
Current State: 97:[30, 24, 43], Operations: ['52-9=43']
Exploring Operation: 30+24=54, Resulting Numbers: [43, 54]
Generated Node #3: [43, 54] from Operation: 30+24=54
Current State: 97:[43, 54], Operations: ['52-9=43', '30+24=54']
Exploring Operation: 43+54=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
40,
37,
93,
83
] | 96 | [
"37+83=120",
"120/40=3",
"93+3=96"
] | Current State: 96:[40, 37, 93, 83], Operations: []
Exploring Operation: 37+83=120, Resulting Numbers: [40, 93, 120]
Generated Node #2: [40, 93, 120] from Operation: 37+83=120
Current State: 96:[40, 93, 120], Operations: ['37+83=120']
Exploring Operation: 120/40=3, Resulting Numbers: [93, 3]
Generated Node #3: [93, 3] from Operation: 120/40=3
Current State: 96:[93, 3], Operations: ['37+83=120', '120/40=3']
Exploring Operation: 93+3=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
12,
7,
30,
94
] | 83 | [
"12+7=19",
"94-30=64",
"19+64=83"
] | Current State: 83:[12, 7, 30, 94], Operations: []
Exploring Operation: 12+7=19, Resulting Numbers: [30, 94, 19]
Generated Node #2: [30, 94, 19] from Operation: 12+7=19
Current State: 83:[30, 94, 19], Operations: ['12+7=19']
Exploring Operation: 94-30=64, Resulting Numbers: [19, 64]
Generated Node #3: [19, 64] from Operation: 94-30=64
Current State: 83:[19, 64], Operations: ['12+7=19', '94-30=64']
Exploring Operation: 19+64=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
57,
14,
95,
84
] | 97 | [
"95-84=11",
"14*11=154",
"154-57=97"
] | Current State: 97:[57, 14, 95, 84], Operations: []
Exploring Operation: 95-84=11, Resulting Numbers: [57, 14, 11]
Generated Node #2: [57, 14, 11] from Operation: 95-84=11
Current State: 97:[57, 14, 11], Operations: ['95-84=11']
Exploring Operation: 14*11=154, Resulting Numbers: [57, 154]
Generated Node #3: [57, 154] from Operation: 14*11=154
Current State: 97:[57, 154], Operations: ['95-84=11', '14*11=154']
Exploring Operation: 154-57=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
86,
40,
56,
24
] | 18 | [
"86-56=30",
"24*30=720",
"720/40=18"
] | Current State: 18:[86, 40, 56, 24], Operations: []
Exploring Operation: 86-56=30, Resulting Numbers: [40, 24, 30]
Generated Node #2: [40, 24, 30] from Operation: 86-56=30
Current State: 18:[40, 24, 30], Operations: ['86-56=30']
Exploring Operation: 24*30=720, Resulting Numbers: [40, 720]
Generated Node #3: [40, 720] from Operation: 24*30=720
Current State: 18:[40, 720], Operations: ['86-56=30', '24*30=720']
Exploring Operation: 720/40=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
28,
38,
98,
92
] | 19 | [
"38-28=10",
"98+92=190",
"190/10=19"
] | Current State: 19:[28, 38, 98, 92], Operations: []
Exploring Operation: 38-28=10, Resulting Numbers: [98, 92, 10]
Generated Node #2: [98, 92, 10] from Operation: 38-28=10
Current State: 19:[98, 92, 10], Operations: ['38-28=10']
Exploring Operation: 98+92=190, Resulting Numbers: [10, 190]
Generated Node #3: [10, 190] from Operation: 98+92=190
Current State: 19:[10, 190], Operations: ['38-28=10', '98+92=190']
Exploring Operation: 190/10=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
60,
42,
17,
15
] | 36 | [
"60-42=18",
"17-15=2",
"18*2=36"
] | Current State: 36:[60, 42, 17, 15], Operations: []
Exploring Operation: 60-42=18, Resulting Numbers: [17, 15, 18]
Generated Node #2: [17, 15, 18] from Operation: 60-42=18
Current State: 36:[17, 15, 18], Operations: ['60-42=18']
Exploring Operation: 17-15=2, Resulting Numbers: [18, 2]
Generated Node #3: [18, 2] from Operation: 17-15=2
Current State: 36:[18, 2], Operations: ['60-42=18', '17-15=2']
Exploring Operation: 18*2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
59,
13,
22,
68
] | 88 | [
"59+13=72",
"72-68=4",
"22*4=88"
] | Current State: 88:[59, 13, 22, 68], Operations: []
Exploring Operation: 59+13=72, Resulting Numbers: [22, 68, 72]
Generated Node #2: [22, 68, 72] from Operation: 59+13=72
Current State: 88:[22, 68, 72], Operations: ['59+13=72']
Exploring Operation: 72-68=4, Resulting Numbers: [22, 4]
Generated Node #3: [22, 4] from Operation: 72-68=4
Current State: 88:[22, 4], Operations: ['59+13=72', '72-68=4']
Exploring Operation: 22*4=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
77,
81,
56,
16
] | 18 | [
"81-77=4",
"56+16=72",
"72/4=18"
] | Current State: 18:[77, 81, 56, 16], Operations: []
Exploring Operation: 81-77=4, Resulting Numbers: [56, 16, 4]
Generated Node #2: [56, 16, 4] from Operation: 81-77=4
Current State: 18:[56, 16, 4], Operations: ['81-77=4']
Exploring Operation: 56+16=72, Resulting Numbers: [4, 72]
Generated Node #3: [4, 72] from Operation: 56+16=72
Current State: 18:[4, 72], Operations: ['81-77=4', '56+16=72']
Exploring Operation: 72/4=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
22,
67,
29,
83
] | 67 | [
"67-22=45",
"29+83=112",
"112-45=67"
] | Current State: 67:[22, 67, 29, 83], Operations: []
Exploring Operation: 67-22=45, Resulting Numbers: [29, 83, 45]
Generated Node #2: [29, 83, 45] from Operation: 67-22=45
Current State: 67:[29, 83, 45], Operations: ['67-22=45']
Exploring Operation: 29+83=112, Resulting Numbers: [45, 112]
Generated Node #3: [45, 112] from Operation: 29+83=112
Current State: 67:[45, 112], Operations: ['67-22=45', '29+83=112']
Exploring Operation: 112-45=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
8,
98,
93,
74
] | 96 | [
"98-74=24",
"24/8=3",
"93+3=96"
] | Current State: 96:[8, 98, 93, 74], Operations: []
Exploring Operation: 98-74=24, Resulting Numbers: [8, 93, 24]
Generated Node #2: [8, 93, 24] from Operation: 98-74=24
Current State: 96:[8, 93, 24], Operations: ['98-74=24']
Exploring Operation: 24/8=3, Resulting Numbers: [93, 3]
Generated Node #3: [93, 3] from Operation: 24/8=3
Current State: 96:[93, 3], Operations: ['98-74=24', '24/8=3']
Exploring Operation: 93+3=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
58,
33,
62,
19
] | 53 | [
"33+62=95",
"95/19=5",
"58-5=53"
] | Current State: 53:[58, 33, 62, 19], Operations: []
Exploring Operation: 33+62=95, Resulting Numbers: [58, 19, 95]
Generated Node #2: [58, 19, 95] from Operation: 33+62=95
Current State: 53:[58, 19, 95], Operations: ['33+62=95']
Exploring Operation: 95/19=5, Resulting Numbers: [58, 5]
Generated Node #3: [58, 5] from Operation: 95/19=5
Current State: 53:[58, 5], Operations: ['33+62=95', '95/19=5']
Exploring Operation: 58-5=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
78,
98,
91,
52
] | 32 | [
"78*98=7644",
"7644/91=84",
"84-52=32"
] | Current State: 32:[78, 98, 91, 52], Operations: []
Exploring Operation: 78*98=7644, Resulting Numbers: [91, 52, 7644]
Generated Node #2: [91, 52, 7644] from Operation: 78*98=7644
Current State: 32:[91, 52, 7644], Operations: ['78*98=7644']
Exploring Operation: 7644/91=84, Resulting Numbers: [52, 84]
Generated Node #3: [52, 84] from Operation: 7644/91=84
Current State: 32:[52, 84], Operations: ['78*98=7644', '7644/91=84']
Exploring Operation: 84-52=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
48,
45,
56,
99
] | 62 | [
"48+45=93",
"56+99=155",
"155-93=62"
] | Current State: 62:[48, 45, 56, 99], Operations: []
Exploring Operation: 48+45=93, Resulting Numbers: [56, 99, 93]
Generated Node #2: [56, 99, 93] from Operation: 48+45=93
Current State: 62:[56, 99, 93], Operations: ['48+45=93']
Exploring Operation: 56+99=155, Resulting Numbers: [93, 155]
Generated Node #3: [93, 155] from Operation: 56+99=155
Current State: 62:[93, 155], Operations: ['48+45=93', '56+99=155']
Exploring Operation: 155-93=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
62,
74,
58,
7
] | 63 | [
"74-62=12",
"58-7=51",
"12+51=63"
] | Current State: 63:[62, 74, 58, 7], Operations: []
Exploring Operation: 74-62=12, Resulting Numbers: [58, 7, 12]
Generated Node #2: [58, 7, 12] from Operation: 74-62=12
Current State: 63:[58, 7, 12], Operations: ['74-62=12']
Exploring Operation: 58-7=51, Resulting Numbers: [12, 51]
Generated Node #3: [12, 51] from Operation: 58-7=51
Current State: 63:[12, 51], Operations: ['74-62=12', '58-7=51']
Exploring Operation: 12+51=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
24,
78,
90,
99
] | 65 | [
"99-24=75",
"78*75=5850",
"5850/90=65"
] | Current State: 65:[24, 78, 90, 99], Operations: []
Exploring Operation: 99-24=75, Resulting Numbers: [78, 90, 75]
Generated Node #2: [78, 90, 75] from Operation: 99-24=75
Current State: 65:[78, 90, 75], Operations: ['99-24=75']
Exploring Operation: 78*75=5850, Resulting Numbers: [90, 5850]
Generated Node #3: [90, 5850] from Operation: 78*75=5850
Current State: 65:[90, 5850], Operations: ['99-24=75', '78*75=5850']
Exploring Operation: 5850/90=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
60,
74,
2,
17
] | 84 | [
"60+74=134",
"134/2=67",
"17+67=84"
] | Current State: 84:[60, 74, 2, 17], Operations: []
Exploring Operation: 60+74=134, Resulting Numbers: [2, 17, 134]
Generated Node #2: [2, 17, 134] from Operation: 60+74=134
Current State: 84:[2, 17, 134], Operations: ['60+74=134']
Exploring Operation: 134/2=67, Resulting Numbers: [17, 67]
Generated Node #3: [17, 67] from Operation: 134/2=67
Current State: 84:[17, 67], Operations: ['60+74=134', '134/2=67']
Exploring Operation: 17+67=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
78,
28,
87,
47
] | 10 | [
"78-28=50",
"87-47=40",
"50-40=10"
] | Current State: 10:[78, 28, 87, 47], Operations: []
Exploring Operation: 78-28=50, Resulting Numbers: [87, 47, 50]
Generated Node #2: [87, 47, 50] from Operation: 78-28=50
Current State: 10:[87, 47, 50], Operations: ['78-28=50']
Exploring Operation: 87-47=40, Resulting Numbers: [50, 40]
Generated Node #3: [50, 40] from Operation: 87-47=40
Current State: 10:[50, 40], Operations: ['78-28=50', '87-47=40']
Exploring Operation: 50-40=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
74,
11,
74,
5
] | 50 | [
"74/74=1",
"11-1=10",
"5*10=50"
] | Current State: 50:[74, 11, 74, 5], Operations: []
Exploring Operation: 74/74=1, Resulting Numbers: [11, 5, 1]
Generated Node #2: [11, 5, 1] from Operation: 74/74=1
Current State: 50:[11, 5, 1], Operations: ['74/74=1']
Exploring Operation: 11-1=10, Resulting Numbers: [5, 10]
Generated Node #3: [5, 10] from Operation: 11-1=10
Current State: 50:[5, 10], Operations: ['74/74=1', '11-1=10']
Exploring Operation: 5*10=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
64,
99,
23,
99
] | 23 | [
"99-99=0",
"64*0=0",
"23+0=23"
] | Current State: 23:[64, 99, 23, 99], Operations: []
Exploring Operation: 99-99=0, Resulting Numbers: [64, 23, 0]
Generated Node #2: [64, 23, 0] from Operation: 99-99=0
Current State: 23:[64, 23, 0], Operations: ['99-99=0']
Exploring Operation: 64*0=0, Resulting Numbers: [23, 0]
Generated Node #3: [23, 0] from Operation: 64*0=0
Current State: 23:[23, 0], Operations: ['99-99=0', '64*0=0']
Exploring Operation: 23+0=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
44,
47,
3,
72
] | 67 | [
"44+47=91",
"72/3=24",
"91-24=67"
] | Current State: 67:[44, 47, 3, 72], Operations: []
Exploring Operation: 44+47=91, Resulting Numbers: [3, 72, 91]
Generated Node #2: [3, 72, 91] from Operation: 44+47=91
Current State: 67:[3, 72, 91], Operations: ['44+47=91']
Exploring Operation: 72/3=24, Resulting Numbers: [91, 24]
Generated Node #3: [91, 24] from Operation: 72/3=24
Current State: 67:[91, 24], Operations: ['44+47=91', '72/3=24']
Exploring Operation: 91-24=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
10,
11,
69,
11
] | 42 | [
"10+69=79",
"11*11=121",
"121-79=42"
] | Current State: 42:[10, 11, 69, 11], Operations: []
Exploring Operation: 10+69=79, Resulting Numbers: [11, 11, 79]
Generated Node #2: [11, 11, 79] from Operation: 10+69=79
Current State: 42:[11, 11, 79], Operations: ['10+69=79']
Exploring Operation: 11*11=121, Resulting Numbers: [79, 121]
Generated Node #3: [79, 121] from Operation: 11*11=121
Current State: 42:[79, 121], Operations: ['10+69=79', '11*11=121']
Exploring Operation: 121-79=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
2,
42,
20,
42
] | 60 | [
"42/42=1",
"2+1=3",
"20*3=60"
] | Current State: 60:[2, 42, 20, 42], Operations: []
Exploring Operation: 42/42=1, Resulting Numbers: [2, 20, 1]
Generated Node #2: [2, 20, 1] from Operation: 42/42=1
Current State: 60:[2, 20, 1], Operations: ['42/42=1']
Exploring Operation: 2+1=3, Resulting Numbers: [20, 3]
Generated Node #3: [20, 3] from Operation: 2+1=3
Current State: 60:[20, 3], Operations: ['42/42=1', '2+1=3']
Exploring Operation: 20*3=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
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