nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
76,
9,
73,
30
] | 13 | [
"76-73=3",
"9+30=39",
"39/3=13"
] | Current State: 13:[76, 9, 73, 30], Operations: []
Exploring Operation: 76-73=3, Resulting Numbers: [9, 30, 3]
Generated Node #2: [9, 30, 3] from Operation: 76-73=3
Current State: 13:[9, 30, 3], Operations: ['76-73=3']
Exploring Operation: 9+30=39, Resulting Numbers: [3, 39]
Generated Node #3: [3, 39] from Operation: 9+30=39
Current State: 13:[3, 39], Operations: ['76-73=3', '9+30=39']
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
61,
77,
16,
53
] | 54 | [
"77-61=16",
"16/16=1",
"53+1=54"
] | Current State: 54:[61, 77, 16, 53], Operations: []
Exploring Operation: 77-61=16, Resulting Numbers: [16, 53, 16]
Generated Node #2: [16, 53, 16] from Operation: 77-61=16
Current State: 54:[16, 53, 16], Operations: ['77-61=16']
Exploring Operation: 16/16=1, Resulting Numbers: [53, 1]
Generated Node #3: [53, 1] from Operation: 16/16=1
Current State: 54:[53, 1], Operations: ['77-61=16', '16/16=1']
Exploring Operation: 53+1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
91,
37,
76,
93
] | 71 | [
"91-37=54",
"93-76=17",
"54+17=71"
] | Current State: 71:[91, 37, 76, 93], Operations: []
Exploring Operation: 91-37=54, Resulting Numbers: [76, 93, 54]
Generated Node #2: [76, 93, 54] from Operation: 91-37=54
Current State: 71:[76, 93, 54], Operations: ['91-37=54']
Exploring Operation: 93-76=17, Resulting Numbers: [54, 17]
Generated Node #3: [54, 17] from Operation: 93-76=17
Current State: 71:[54, 17], Operations: ['91-37=54', '93-76=17']
Exploring Operation: 54+17=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
11,
28,
14,
7
] | 98 | [
"11-7=4",
"28*14=392",
"392/4=98"
] | Current State: 98:[11, 28, 14, 7], Operations: []
Exploring Operation: 11-7=4, Resulting Numbers: [28, 14, 4]
Generated Node #2: [28, 14, 4] from Operation: 11-7=4
Current State: 98:[28, 14, 4], Operations: ['11-7=4']
Exploring Operation: 28*14=392, Resulting Numbers: [4, 392]
Generated Node #3: [4, 392] from Operation: 28*14=392
Current State: 98:[4, 392], Operations: ['11-7=4', '28*14=392']
Exploring Operation: 392/4=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
45,
31,
38,
67
] | 90 | [
"31+38=69",
"69-67=2",
"45*2=90"
] | Current State: 90:[45, 31, 38, 67], Operations: []
Exploring Operation: 31+38=69, Resulting Numbers: [45, 67, 69]
Generated Node #2: [45, 67, 69] from Operation: 31+38=69
Current State: 90:[45, 67, 69], Operations: ['31+38=69']
Exploring Operation: 69-67=2, Resulting Numbers: [45, 2]
Generated Node #3: [45, 2] from Operation: 69-67=2
Current State: 90:[45, 2], Operations: ['31+38=69', '69-67=2']
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
48,
44,
66,
30
] | 12 | [
"48-30=18",
"44*18=792",
"792/66=12"
] | Current State: 12:[48, 44, 66, 30], Operations: []
Exploring Operation: 48-30=18, Resulting Numbers: [44, 66, 18]
Generated Node #2: [44, 66, 18] from Operation: 48-30=18
Current State: 12:[44, 66, 18], Operations: ['48-30=18']
Exploring Operation: 44*18=792, Resulting Numbers: [66, 792]
Generated Node #3: [66, 792] from Operation: 44*18=792
Current State: 12:[66, 792], Operations: ['48-30=18', '44*18=792']
Exploring Operation: 792/66=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
8,
82,
6,
94
] | 26 | [
"82-8=74",
"6+94=100",
"100-74=26"
] | Current State: 26:[8, 82, 6, 94], Operations: []
Exploring Operation: 82-8=74, Resulting Numbers: [6, 94, 74]
Generated Node #2: [6, 94, 74] from Operation: 82-8=74
Current State: 26:[6, 94, 74], Operations: ['82-8=74']
Exploring Operation: 6+94=100, Resulting Numbers: [74, 100]
Generated Node #3: [74, 100] from Operation: 6+94=100
Current State: 26:[74, 100], Operations: ['82-8=74', '6+94=100']
Exploring Operation: 100-74=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
27,
77,
13,
32
] | 40 | [
"27+77=104",
"104/13=8",
"32+8=40"
] | Current State: 40:[27, 77, 13, 32], Operations: []
Exploring Operation: 27+77=104, Resulting Numbers: [13, 32, 104]
Generated Node #2: [13, 32, 104] from Operation: 27+77=104
Current State: 40:[13, 32, 104], Operations: ['27+77=104']
Exploring Operation: 104/13=8, Resulting Numbers: [32, 8]
Generated Node #3: [32, 8] from Operation: 104/13=8
Current State: 40:[32, 8], Operations: ['27+77=104', '104/13=8']
Exploring Operation: 32+8=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
56,
31,
13,
33
] | 15 | [
"33-31=2",
"56/2=28",
"28-13=15"
] | Current State: 15:[56, 31, 13, 33], Operations: []
Exploring Operation: 33-31=2, Resulting Numbers: [56, 13, 2]
Generated Node #2: [56, 13, 2] from Operation: 33-31=2
Current State: 15:[56, 13, 2], Operations: ['33-31=2']
Exploring Operation: 56/2=28, Resulting Numbers: [13, 28]
Generated Node #3: [13, 28] from Operation: 56/2=28
Current State: 15:[13, 28], Operations: ['33-31=2', '56/2=28']
Exploring Operation: 28-13=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
45,
35,
5,
25
] | 30 | [
"45-35=10",
"25-5=20",
"10+20=30"
] | Current State: 30:[45, 35, 5, 25], Operations: []
Exploring Operation: 45-35=10, Resulting Numbers: [5, 25, 10]
Generated Node #2: [5, 25, 10] from Operation: 45-35=10
Current State: 30:[5, 25, 10], Operations: ['45-35=10']
Exploring Operation: 25-5=20, Resulting Numbers: [10, 20]
Generated Node #3: [10, 20] from Operation: 25-5=20
Current State: 30:[10, 20], Operations: ['45-35=10', '25-5=20']
Exploring Operation: 10+20=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
46,
47,
83,
33
] | 49 | [
"47-46=1",
"83-33=50",
"50-1=49"
] | Current State: 49:[46, 47, 83, 33], Operations: []
Exploring Operation: 47-46=1, Resulting Numbers: [83, 33, 1]
Generated Node #2: [83, 33, 1] from Operation: 47-46=1
Current State: 49:[83, 33, 1], Operations: ['47-46=1']
Exploring Operation: 83-33=50, Resulting Numbers: [1, 50]
Generated Node #3: [1, 50] from Operation: 83-33=50
Current State: 49:[1, 50], Operations: ['47-46=1', '83-33=50']
Exploring Operation: 50-1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
44,
69,
58,
63
] | 96 | [
"69-44=25",
"58+63=121",
"121-25=96"
] | Current State: 96:[44, 69, 58, 63], Operations: []
Exploring Operation: 69-44=25, Resulting Numbers: [58, 63, 25]
Generated Node #2: [58, 63, 25] from Operation: 69-44=25
Current State: 96:[58, 63, 25], Operations: ['69-44=25']
Exploring Operation: 58+63=121, Resulting Numbers: [25, 121]
Generated Node #3: [25, 121] from Operation: 58+63=121
Current State: 96:[25, 121], Operations: ['69-44=25', '58+63=121']
Exploring Operation: 121-25=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
6,
24,
42,
12
] | 29 | [
"42/6=7",
"24+12=36",
"36-7=29"
] | Current State: 29:[6, 24, 42, 12], Operations: []
Exploring Operation: 42/6=7, Resulting Numbers: [24, 12, 7]
Generated Node #2: [24, 12, 7] from Operation: 42/6=7
Current State: 29:[24, 12, 7], Operations: ['42/6=7']
Exploring Operation: 24+12=36, Resulting Numbers: [7, 36]
Generated Node #3: [7, 36] from Operation: 24+12=36
Current State: 29:[7, 36], Operations: ['42/6=7', '24+12=36']
Exploring Operation: 36-7=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
93,
41,
15,
6
] | 87 | [
"41*15=615",
"615-93=522",
"522/6=87"
] | Current State: 87:[93, 41, 15, 6], Operations: []
Exploring Operation: 41*15=615, Resulting Numbers: [93, 6, 615]
Generated Node #2: [93, 6, 615] from Operation: 41*15=615
Current State: 87:[93, 6, 615], Operations: ['41*15=615']
Exploring Operation: 615-93=522, Resulting Numbers: [6, 522]
Generated Node #3: [6, 522] from Operation: 615-93=522
Current State: 87:[6, 522], Operations: ['41*15=615', '615-93=522']
Exploring Operation: 522/6=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
34,
10,
96,
33
] | 72 | [
"34+10=44",
"96*33=3168",
"3168/44=72"
] | Current State: 72:[34, 10, 96, 33], Operations: []
Exploring Operation: 34+10=44, Resulting Numbers: [96, 33, 44]
Generated Node #2: [96, 33, 44] from Operation: 34+10=44
Current State: 72:[96, 33, 44], Operations: ['34+10=44']
Exploring Operation: 96*33=3168, Resulting Numbers: [44, 3168]
Generated Node #3: [44, 3168] from Operation: 96*33=3168
Current State: 72:[44, 3168], Operations: ['34+10=44', '96*33=3168']
Exploring Operation: 3168/44=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
14,
3,
63,
78
] | 51 | [
"14+63=77",
"78/3=26",
"77-26=51"
] | Current State: 51:[14, 3, 63, 78], Operations: []
Exploring Operation: 14+63=77, Resulting Numbers: [3, 78, 77]
Generated Node #2: [3, 78, 77] from Operation: 14+63=77
Current State: 51:[3, 78, 77], Operations: ['14+63=77']
Exploring Operation: 78/3=26, Resulting Numbers: [77, 26]
Generated Node #3: [77, 26] from Operation: 78/3=26
Current State: 51:[77, 26], Operations: ['14+63=77', '78/3=26']
Exploring Operation: 77-26=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
4,
52,
35,
54
] | 76 | [
"52/4=13",
"35+54=89",
"89-13=76"
] | Current State: 76:[4, 52, 35, 54], Operations: []
Exploring Operation: 52/4=13, Resulting Numbers: [35, 54, 13]
Generated Node #2: [35, 54, 13] from Operation: 52/4=13
Current State: 76:[35, 54, 13], Operations: ['52/4=13']
Exploring Operation: 35+54=89, Resulting Numbers: [13, 89]
Generated Node #3: [13, 89] from Operation: 35+54=89
Current State: 76:[13, 89], Operations: ['52/4=13', '35+54=89']
Exploring Operation: 89-13=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
48,
20,
87,
6
] | 59 | [
"48/6=8",
"87-20=67",
"67-8=59"
] | Current State: 59:[48, 20, 87, 6], Operations: []
Exploring Operation: 48/6=8, Resulting Numbers: [20, 87, 8]
Generated Node #2: [20, 87, 8] from Operation: 48/6=8
Current State: 59:[20, 87, 8], Operations: ['48/6=8']
Exploring Operation: 87-20=67, Resulting Numbers: [8, 67]
Generated Node #3: [8, 67] from Operation: 87-20=67
Current State: 59:[8, 67], Operations: ['48/6=8', '87-20=67']
Exploring Operation: 67-8=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
2,
49,
84,
99
] | 36 | [
"2+49=51",
"99-84=15",
"51-15=36"
] | Current State: 36:[2, 49, 84, 99], Operations: []
Exploring Operation: 2+49=51, Resulting Numbers: [84, 99, 51]
Generated Node #2: [84, 99, 51] from Operation: 2+49=51
Current State: 36:[84, 99, 51], Operations: ['2+49=51']
Exploring Operation: 99-84=15, Resulting Numbers: [51, 15]
Generated Node #3: [51, 15] from Operation: 99-84=15
Current State: 36:[51, 15], Operations: ['2+49=51', '99-84=15']
Exploring Operation: 51-15=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
63,
65,
95,
32
] | 91 | [
"63+65=128",
"128/32=4",
"95-4=91"
] | Current State: 91:[63, 65, 95, 32], Operations: []
Exploring Operation: 63+65=128, Resulting Numbers: [95, 32, 128]
Generated Node #2: [95, 32, 128] from Operation: 63+65=128
Current State: 91:[95, 32, 128], Operations: ['63+65=128']
Exploring Operation: 128/32=4, Resulting Numbers: [95, 4]
Generated Node #3: [95, 4] from Operation: 128/32=4
Current State: 91:[95, 4], Operations: ['63+65=128', '128/32=4']
Exploring Operation: 95-4=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
60,
51,
63,
2
] | 34 | [
"63-60=3",
"51*2=102",
"102/3=34"
] | Current State: 34:[60, 51, 63, 2], Operations: []
Exploring Operation: 63-60=3, Resulting Numbers: [51, 2, 3]
Generated Node #2: [51, 2, 3] from Operation: 63-60=3
Current State: 34:[51, 2, 3], Operations: ['63-60=3']
Exploring Operation: 51*2=102, Resulting Numbers: [3, 102]
Generated Node #3: [3, 102] from Operation: 51*2=102
Current State: 34:[3, 102], Operations: ['63-60=3', '51*2=102']
Exploring Operation: 102/3=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
6,
6,
98,
72
] | 100 | [
"6*6=36",
"72/36=2",
"98+2=100"
] | Current State: 100:[6, 6, 98, 72], Operations: []
Exploring Operation: 6*6=36, Resulting Numbers: [98, 72, 36]
Generated Node #2: [98, 72, 36] from Operation: 6*6=36
Current State: 100:[98, 72, 36], Operations: ['6*6=36']
Exploring Operation: 72/36=2, Resulting Numbers: [98, 2]
Generated Node #3: [98, 2] from Operation: 72/36=2
Current State: 100:[98, 2], Operations: ['6*6=36', '72/36=2']
Exploring Operation: 98+2=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
62,
19,
60,
54
] | 52 | [
"60-54=6",
"19*6=114",
"114-62=52"
] | Current State: 52:[62, 19, 60, 54], Operations: []
Exploring Operation: 60-54=6, Resulting Numbers: [62, 19, 6]
Generated Node #2: [62, 19, 6] from Operation: 60-54=6
Current State: 52:[62, 19, 6], Operations: ['60-54=6']
Exploring Operation: 19*6=114, Resulting Numbers: [62, 114]
Generated Node #3: [62, 114] from Operation: 19*6=114
Current State: 52:[62, 114], Operations: ['60-54=6', '19*6=114']
Exploring Operation: 114-62=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
3,
82,
95,
22
] | 75 | [
"82-22=60",
"60/3=20",
"95-20=75"
] | Current State: 75:[3, 82, 95, 22], Operations: []
Exploring Operation: 82-22=60, Resulting Numbers: [3, 95, 60]
Generated Node #2: [3, 95, 60] from Operation: 82-22=60
Current State: 75:[3, 95, 60], Operations: ['82-22=60']
Exploring Operation: 60/3=20, Resulting Numbers: [95, 20]
Generated Node #3: [95, 20] from Operation: 60/3=20
Current State: 75:[95, 20], Operations: ['82-22=60', '60/3=20']
Exploring Operation: 95-20=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
27,
82,
73,
77
] | 41 | [
"27+82=109",
"73+77=150",
"150-109=41"
] | Current State: 41:[27, 82, 73, 77], Operations: []
Exploring Operation: 27+82=109, Resulting Numbers: [73, 77, 109]
Generated Node #2: [73, 77, 109] from Operation: 27+82=109
Current State: 41:[73, 77, 109], Operations: ['27+82=109']
Exploring Operation: 73+77=150, Resulting Numbers: [109, 150]
Generated Node #3: [109, 150] from Operation: 73+77=150
Current State: 41:[109, 150], Operations: ['27+82=109', '73+77=150']
Exploring Operation: 150-109=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
54,
10,
15,
56
] | 40 | [
"54+56=110",
"10*15=150",
"150-110=40"
] | Current State: 40:[54, 10, 15, 56], Operations: []
Exploring Operation: 54+56=110, Resulting Numbers: [10, 15, 110]
Generated Node #2: [10, 15, 110] from Operation: 54+56=110
Current State: 40:[10, 15, 110], Operations: ['54+56=110']
Exploring Operation: 10*15=150, Resulting Numbers: [110, 150]
Generated Node #3: [110, 150] from Operation: 10*15=150
Current State: 40:[110, 150], Operations: ['54+56=110', '10*15=150']
Exploring Operation: 150-110=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
6,
4,
65,
2
] | 65 | [
"6-4=2",
"65+2=67",
"67-2=65"
] | Current State: 65:[6, 4, 65, 2], Operations: []
Exploring Operation: 6-4=2, Resulting Numbers: [65, 2, 2]
Generated Node #2: [65, 2, 2] from Operation: 6-4=2
Current State: 65:[65, 2, 2], Operations: ['6-4=2']
Exploring Operation: 65+2=67, Resulting Numbers: [67]
67,65 equal: Goal Reached
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
39,
41,
98,
52
] | 48 | [
"41-39=2",
"98-52=46",
"2+46=48"
] | Current State: 48:[39, 41, 98, 52], Operations: []
Exploring Operation: 41-39=2, Resulting Numbers: [98, 52, 2]
Generated Node #2: [98, 52, 2] from Operation: 41-39=2
Current State: 48:[98, 52, 2], Operations: ['41-39=2']
Exploring Operation: 98-52=46, Resulting Numbers: [2, 46]
Generated Node #3: [2, 46] from Operation: 98-52=46
Current State: 48:[2, 46], Operations: ['41-39=2', '98-52=46']
Exploring Operation: 2+46=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
23,
46,
42,
78
] | 51 | [
"23+46=69",
"42+78=120",
"120-69=51"
] | Current State: 51:[23, 46, 42, 78], Operations: []
Exploring Operation: 23+46=69, Resulting Numbers: [42, 78, 69]
Generated Node #2: [42, 78, 69] from Operation: 23+46=69
Current State: 51:[42, 78, 69], Operations: ['23+46=69']
Exploring Operation: 42+78=120, Resulting Numbers: [69, 120]
Generated Node #3: [69, 120] from Operation: 42+78=120
Current State: 51:[69, 120], Operations: ['23+46=69', '42+78=120']
Exploring Operation: 120-69=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
72,
86,
95,
65
] | 57 | [
"95-86=9",
"72/9=8",
"65-8=57"
] | Current State: 57:[72, 86, 95, 65], Operations: []
Exploring Operation: 95-86=9, Resulting Numbers: [72, 65, 9]
Generated Node #2: [72, 65, 9] from Operation: 95-86=9
Current State: 57:[72, 65, 9], Operations: ['95-86=9']
Exploring Operation: 72/9=8, Resulting Numbers: [65, 8]
Generated Node #3: [65, 8] from Operation: 72/9=8
Current State: 57:[65, 8], Operations: ['95-86=9', '72/9=8']
Exploring Operation: 65-8=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
42,
33,
50,
85
] | 44 | [
"42-33=9",
"85-50=35",
"9+35=44"
] | Current State: 44:[42, 33, 50, 85], Operations: []
Exploring Operation: 42-33=9, Resulting Numbers: [50, 85, 9]
Generated Node #2: [50, 85, 9] from Operation: 42-33=9
Current State: 44:[50, 85, 9], Operations: ['42-33=9']
Exploring Operation: 85-50=35, Resulting Numbers: [9, 35]
Generated Node #3: [9, 35] from Operation: 85-50=35
Current State: 44:[9, 35], Operations: ['42-33=9', '85-50=35']
Exploring Operation: 9+35=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
87,
19,
77,
86
] | 84 | [
"86-77=9",
"19*9=171",
"171-87=84"
] | Current State: 84:[87, 19, 77, 86], Operations: []
Exploring Operation: 86-77=9, Resulting Numbers: [87, 19, 9]
Generated Node #2: [87, 19, 9] from Operation: 86-77=9
Current State: 84:[87, 19, 9], Operations: ['86-77=9']
Exploring Operation: 19*9=171, Resulting Numbers: [87, 171]
Generated Node #3: [87, 171] from Operation: 19*9=171
Current State: 84:[87, 171], Operations: ['86-77=9', '19*9=171']
Exploring Operation: 171-87=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
96,
29,
65,
38
] | 19 | [
"96-29=67",
"67-65=2",
"38/2=19"
] | Current State: 19:[96, 29, 65, 38], Operations: []
Exploring Operation: 96-29=67, Resulting Numbers: [65, 38, 67]
Generated Node #2: [65, 38, 67] from Operation: 96-29=67
Current State: 19:[65, 38, 67], Operations: ['96-29=67']
Exploring Operation: 67-65=2, Resulting Numbers: [38, 2]
Generated Node #3: [38, 2] from Operation: 67-65=2
Current State: 19:[38, 2], Operations: ['96-29=67', '67-65=2']
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
59,
35,
31,
38
] | 87 | [
"59+35=94",
"38-31=7",
"94-7=87"
] | Current State: 87:[59, 35, 31, 38], Operations: []
Exploring Operation: 59+35=94, Resulting Numbers: [31, 38, 94]
Generated Node #2: [31, 38, 94] from Operation: 59+35=94
Current State: 87:[31, 38, 94], Operations: ['59+35=94']
Exploring Operation: 38-31=7, Resulting Numbers: [94, 7]
Generated Node #3: [94, 7] from Operation: 38-31=7
Current State: 87:[94, 7], Operations: ['59+35=94', '38-31=7']
Exploring Operation: 94-7=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
52,
98,
76,
16
] | 14 | [
"98-52=46",
"76-16=60",
"60-46=14"
] | Current State: 14:[52, 98, 76, 16], Operations: []
Exploring Operation: 98-52=46, Resulting Numbers: [76, 16, 46]
Generated Node #2: [76, 16, 46] from Operation: 98-52=46
Current State: 14:[76, 16, 46], Operations: ['98-52=46']
Exploring Operation: 76-16=60, Resulting Numbers: [46, 60]
Generated Node #3: [46, 60] from Operation: 76-16=60
Current State: 14:[46, 60], Operations: ['98-52=46', '76-16=60']
Exploring Operation: 60-46=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
49,
69,
89,
80
] | 40 | [
"49+89=138",
"69*80=5520",
"5520/138=40"
] | Current State: 40:[49, 69, 89, 80], Operations: []
Exploring Operation: 49+89=138, Resulting Numbers: [69, 80, 138]
Generated Node #2: [69, 80, 138] from Operation: 49+89=138
Current State: 40:[69, 80, 138], Operations: ['49+89=138']
Exploring Operation: 69*80=5520, Resulting Numbers: [138, 5520]
Generated Node #3: [138, 5520] from Operation: 69*80=5520
Current State: 40:[138, 5520], Operations: ['49+89=138', '69*80=5520']
Exploring Operation: 5520/138=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
21,
85,
57,
17
] | 24 | [
"85-21=64",
"57-17=40",
"64-40=24"
] | Current State: 24:[21, 85, 57, 17], Operations: []
Exploring Operation: 85-21=64, Resulting Numbers: [57, 17, 64]
Generated Node #2: [57, 17, 64] from Operation: 85-21=64
Current State: 24:[57, 17, 64], Operations: ['85-21=64']
Exploring Operation: 57-17=40, Resulting Numbers: [64, 40]
Generated Node #3: [64, 40] from Operation: 57-17=40
Current State: 24:[64, 40], Operations: ['85-21=64', '57-17=40']
Exploring Operation: 64-40=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
69,
97,
27,
39
] | 39 | [
"97-69=28",
"28-27=1",
"39*1=39"
] | Current State: 39:[69, 97, 27, 39], Operations: []
Exploring Operation: 97-69=28, Resulting Numbers: [27, 39, 28]
Generated Node #2: [27, 39, 28] from Operation: 97-69=28
Current State: 39:[27, 39, 28], Operations: ['97-69=28']
Exploring Operation: 28-27=1, Resulting Numbers: [39, 1]
Generated Node #3: [39, 1] from Operation: 28-27=1
Current State: 39:[39, 1], Operations: ['97-69=28', '28-27=1']
Exploring Operation: 39*1=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
26,
37,
31,
78
] | 71 | [
"78/26=3",
"37+31=68",
"3+68=71"
] | Current State: 71:[26, 37, 31, 78], Operations: []
Exploring Operation: 78/26=3, Resulting Numbers: [37, 31, 3]
Generated Node #2: [37, 31, 3] from Operation: 78/26=3
Current State: 71:[37, 31, 3], Operations: ['78/26=3']
Exploring Operation: 37+31=68, Resulting Numbers: [3, 68]
Generated Node #3: [3, 68] from Operation: 37+31=68
Current State: 71:[3, 68], Operations: ['78/26=3', '37+31=68']
Exploring Operation: 3+68=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
98,
79,
87,
28
] | 78 | [
"98-79=19",
"87-28=59",
"19+59=78"
] | Current State: 78:[98, 79, 87, 28], Operations: []
Exploring Operation: 98-79=19, Resulting Numbers: [87, 28, 19]
Generated Node #2: [87, 28, 19] from Operation: 98-79=19
Current State: 78:[87, 28, 19], Operations: ['98-79=19']
Exploring Operation: 87-28=59, Resulting Numbers: [19, 59]
Generated Node #3: [19, 59] from Operation: 87-28=59
Current State: 78:[19, 59], Operations: ['98-79=19', '87-28=59']
Exploring Operation: 19+59=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
70,
42,
39,
89
] | 62 | [
"70+42=112",
"89-39=50",
"112-50=62"
] | Current State: 62:[70, 42, 39, 89], Operations: []
Exploring Operation: 70+42=112, Resulting Numbers: [39, 89, 112]
Generated Node #2: [39, 89, 112] from Operation: 70+42=112
Current State: 62:[39, 89, 112], Operations: ['70+42=112']
Exploring Operation: 89-39=50, Resulting Numbers: [112, 50]
Generated Node #3: [112, 50] from Operation: 89-39=50
Current State: 62:[112, 50], Operations: ['70+42=112', '89-39=50']
Exploring Operation: 112-50=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
14,
5,
92,
83
] | 28 | [
"14+5=19",
"92-83=9",
"19+9=28"
] | Current State: 28:[14, 5, 92, 83], Operations: []
Exploring Operation: 14+5=19, Resulting Numbers: [92, 83, 19]
Generated Node #2: [92, 83, 19] from Operation: 14+5=19
Current State: 28:[92, 83, 19], Operations: ['14+5=19']
Exploring Operation: 92-83=9, Resulting Numbers: [19, 9]
Generated Node #3: [19, 9] from Operation: 92-83=9
Current State: 28:[19, 9], Operations: ['14+5=19', '92-83=9']
Exploring Operation: 19+9=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
57,
41,
10,
13
] | 13 | [
"57-41=16",
"13-10=3",
"16-3=13"
] | Current State: 13:[57, 41, 10, 13], Operations: []
Exploring Operation: 57-41=16, Resulting Numbers: [10, 13, 16]
Generated Node #2: [10, 13, 16] from Operation: 57-41=16
Current State: 13:[10, 13, 16], Operations: ['57-41=16']
Exploring Operation: 13-10=3, Resulting Numbers: [16, 3]
Generated Node #3: [16, 3] from Operation: 13-10=3
Current State: 13:[16, 3], Operations: ['57-41=16', '13-10=3']
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
84,
3,
36,
35
] | 12 | [
"36*35=1260",
"1260/84=15",
"15-3=12"
] | Current State: 12:[84, 3, 36, 35], Operations: []
Exploring Operation: 36*35=1260, Resulting Numbers: [84, 3, 1260]
Generated Node #2: [84, 3, 1260] from Operation: 36*35=1260
Current State: 12:[84, 3, 1260], Operations: ['36*35=1260']
Exploring Operation: 1260/84=15, Resulting Numbers: [3, 15]
Generated Node #3: [3, 15] from Operation: 1260/84=15
Current State: 12:[3, 15], Operations: ['36*35=1260', '1260/84=15']
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
59,
39,
50,
88
] | 51 | [
"50-39=11",
"88/11=8",
"59-8=51"
] | Current State: 51:[59, 39, 50, 88], Operations: []
Exploring Operation: 50-39=11, Resulting Numbers: [59, 88, 11]
Generated Node #2: [59, 88, 11] from Operation: 50-39=11
Current State: 51:[59, 88, 11], Operations: ['50-39=11']
Exploring Operation: 88/11=8, Resulting Numbers: [59, 8]
Generated Node #3: [59, 8] from Operation: 88/11=8
Current State: 51:[59, 8], Operations: ['50-39=11', '88/11=8']
Exploring Operation: 59-8=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
78,
35,
27,
59
] | 41 | [
"78*27=2106",
"35*59=2065",
"2106-2065=41"
] | Current State: 41:[78, 35, 27, 59], Operations: []
Exploring Operation: 78*27=2106, Resulting Numbers: [35, 59, 2106]
Generated Node #2: [35, 59, 2106] from Operation: 78*27=2106
Current State: 41:[35, 59, 2106], Operations: ['78*27=2106']
Exploring Operation: 35*59=2065, Resulting Numbers: [2106, 2065]
Generated Node #3: [2106, 2065] from Operation: 35*59=2065
Current State: 41:[2106, 2065], Operations: ['78*27=2106', '35*59=2065']
Exploring Operation: 2106-2065=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
38,
4,
36,
36
] | 65 | [
"38+36=74",
"36/4=9",
"74-9=65"
] | Current State: 65:[38, 4, 36, 36], Operations: []
Exploring Operation: 38+36=74, Resulting Numbers: [4, 74]
Generated Node #2: [4, 74] from Operation: 38+36=74
Current State: 65:[4, 74], Operations: ['38+36=74']
Exploring Operation: 36/4=9, Resulting Numbers: [74, 9]
Generated Node #3: [74, 9] from Operation: 36/4=9
Current State: 65:[74, 9], Operations: ['38+36=74', '36/4=9']
Exploring Operation: 74-9=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
82,
2,
6,
1
] | 95 | [
"82+1=83",
"2*6=12",
"83+12=95"
] | Current State: 95:[82, 2, 6, 1], Operations: []
Exploring Operation: 82+1=83, Resulting Numbers: [2, 6, 83]
Generated Node #2: [2, 6, 83] from Operation: 82+1=83
Current State: 95:[2, 6, 83], Operations: ['82+1=83']
Exploring Operation: 2*6=12, Resulting Numbers: [83, 12]
Generated Node #3: [83, 12] from Operation: 2*6=12
Current State: 95:[83, 12], Operations: ['82+1=83', '2*6=12']
Exploring Operation: 83+12=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
7,
96,
45,
8
] | 19 | [
"96+45=141",
"141-8=133",
"133/7=19"
] | Current State: 19:[7, 96, 45, 8], Operations: []
Exploring Operation: 96+45=141, Resulting Numbers: [7, 8, 141]
Generated Node #2: [7, 8, 141] from Operation: 96+45=141
Current State: 19:[7, 8, 141], Operations: ['96+45=141']
Exploring Operation: 141-8=133, Resulting Numbers: [7, 133]
Generated Node #3: [7, 133] from Operation: 141-8=133
Current State: 19:[7, 133], Operations: ['96+45=141', '141-8=133']
Exploring Operation: 133/7=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
95,
3,
51,
47
] | 23 | [
"95-3=92",
"51-47=4",
"92/4=23"
] | Current State: 23:[95, 3, 51, 47], Operations: []
Exploring Operation: 95-3=92, Resulting Numbers: [51, 47, 92]
Generated Node #2: [51, 47, 92] from Operation: 95-3=92
Current State: 23:[51, 47, 92], Operations: ['95-3=92']
Exploring Operation: 51-47=4, Resulting Numbers: [92, 4]
Generated Node #3: [92, 4] from Operation: 51-47=4
Current State: 23:[92, 4], Operations: ['95-3=92', '51-47=4']
Exploring Operation: 92/4=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
56,
33,
24,
22
] | 69 | [
"56-33=23",
"24+22=46",
"23+46=69"
] | Current State: 69:[56, 33, 24, 22], Operations: []
Exploring Operation: 56-33=23, Resulting Numbers: [24, 22, 23]
Generated Node #2: [24, 22, 23] from Operation: 56-33=23
Current State: 69:[24, 22, 23], Operations: ['56-33=23']
Exploring Operation: 24+22=46, Resulting Numbers: [23, 46]
Generated Node #3: [23, 46] from Operation: 24+22=46
Current State: 69:[23, 46], Operations: ['56-33=23', '24+22=46']
Exploring Operation: 23+46=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
44,
42,
91,
22
] | 51 | [
"44/22=2",
"91-42=49",
"2+49=51"
] | Current State: 51:[44, 42, 91, 22], Operations: []
Exploring Operation: 44/22=2, Resulting Numbers: [42, 91, 2]
Generated Node #2: [42, 91, 2] from Operation: 44/22=2
Current State: 51:[42, 91, 2], Operations: ['44/22=2']
Exploring Operation: 91-42=49, Resulting Numbers: [2, 49]
Generated Node #3: [2, 49] from Operation: 91-42=49
Current State: 51:[2, 49], Operations: ['44/22=2', '91-42=49']
Exploring Operation: 2+49=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
16,
45,
45,
29
] | 14 | [
"29-16=13",
"45/45=1",
"13+1=14"
] | Current State: 14:[16, 45, 45, 29], Operations: []
Exploring Operation: 29-16=13, Resulting Numbers: [45, 45, 13]
Generated Node #2: [45, 45, 13] from Operation: 29-16=13
Current State: 14:[45, 45, 13], Operations: ['29-16=13']
Exploring Operation: 45/45=1, Resulting Numbers: [13, 1]
Generated Node #3: [13, 1] from Operation: 45/45=1
Current State: 14:[13, 1], Operations: ['29-16=13', '45/45=1']
Exploring Operation: 13+1=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
4,
72,
17,
29
] | 28 | [
"72/4=18",
"17+29=46",
"46-18=28"
] | Current State: 28:[4, 72, 17, 29], Operations: []
Exploring Operation: 72/4=18, Resulting Numbers: [17, 29, 18]
Generated Node #2: [17, 29, 18] from Operation: 72/4=18
Current State: 28:[17, 29, 18], Operations: ['72/4=18']
Exploring Operation: 17+29=46, Resulting Numbers: [18, 46]
Generated Node #3: [18, 46] from Operation: 17+29=46
Current State: 28:[18, 46], Operations: ['72/4=18', '17+29=46']
Exploring Operation: 46-18=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
11,
59,
32,
22
] | 80 | [
"11+59=70",
"32-22=10",
"70+10=80"
] | Current State: 80:[11, 59, 32, 22], Operations: []
Exploring Operation: 11+59=70, Resulting Numbers: [32, 22, 70]
Generated Node #2: [32, 22, 70] from Operation: 11+59=70
Current State: 80:[32, 22, 70], Operations: ['11+59=70']
Exploring Operation: 32-22=10, Resulting Numbers: [70, 10]
Generated Node #3: [70, 10] from Operation: 32-22=10
Current State: 80:[70, 10], Operations: ['11+59=70', '32-22=10']
Exploring Operation: 70+10=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
29,
12,
80,
90
] | 27 | [
"29-12=17",
"90-80=10",
"17+10=27"
] | Current State: 27:[29, 12, 80, 90], Operations: []
Exploring Operation: 29-12=17, Resulting Numbers: [80, 90, 17]
Generated Node #2: [80, 90, 17] from Operation: 29-12=17
Current State: 27:[80, 90, 17], Operations: ['29-12=17']
Exploring Operation: 90-80=10, Resulting Numbers: [17, 10]
Generated Node #3: [17, 10] from Operation: 90-80=10
Current State: 27:[17, 10], Operations: ['29-12=17', '90-80=10']
Exploring Operation: 17+10=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
49,
5,
64,
88
] | 85 | [
"64-49=15",
"15/5=3",
"88-3=85"
] | Current State: 85:[49, 5, 64, 88], Operations: []
Exploring Operation: 64-49=15, Resulting Numbers: [5, 88, 15]
Generated Node #2: [5, 88, 15] from Operation: 64-49=15
Current State: 85:[5, 88, 15], Operations: ['64-49=15']
Exploring Operation: 15/5=3, Resulting Numbers: [88, 3]
Generated Node #3: [88, 3] from Operation: 15/5=3
Current State: 85:[88, 3], Operations: ['64-49=15', '15/5=3']
Exploring Operation: 88-3=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
58,
79,
3,
63
] | 28 | [
"79-58=21",
"63+21=84",
"84/3=28"
] | Current State: 28:[58, 79, 3, 63], Operations: []
Exploring Operation: 79-58=21, Resulting Numbers: [3, 63, 21]
Generated Node #2: [3, 63, 21] from Operation: 79-58=21
Current State: 28:[3, 63, 21], Operations: ['79-58=21']
Exploring Operation: 63+21=84, Resulting Numbers: [3, 84]
Generated Node #3: [3, 84] from Operation: 63+21=84
Current State: 28:[3, 84], Operations: ['79-58=21', '63+21=84']
Exploring Operation: 84/3=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
16,
32,
27,
30
] | 50 | [
"32-27=5",
"16*5=80",
"80-30=50"
] | Current State: 50:[16, 32, 27, 30], Operations: []
Exploring Operation: 32-27=5, Resulting Numbers: [16, 30, 5]
Generated Node #2: [16, 30, 5] from Operation: 32-27=5
Current State: 50:[16, 30, 5], Operations: ['32-27=5']
Exploring Operation: 16*5=80, Resulting Numbers: [30, 80]
Generated Node #3: [30, 80] from Operation: 16*5=80
Current State: 50:[30, 80], Operations: ['32-27=5', '16*5=80']
Exploring Operation: 80-30=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
51,
22,
45,
11
] | 85 | [
"51-22=29",
"45+11=56",
"29+56=85"
] | Current State: 85:[51, 22, 45, 11], Operations: []
Exploring Operation: 51-22=29, Resulting Numbers: [45, 11, 29]
Generated Node #2: [45, 11, 29] from Operation: 51-22=29
Current State: 85:[45, 11, 29], Operations: ['51-22=29']
Exploring Operation: 45+11=56, Resulting Numbers: [29, 56]
Generated Node #3: [29, 56] from Operation: 45+11=56
Current State: 85:[29, 56], Operations: ['51-22=29', '45+11=56']
Exploring Operation: 29+56=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
45,
62,
44,
43
] | 53 | [
"45-43=2",
"62+44=106",
"106/2=53"
] | Current State: 53:[45, 62, 44, 43], Operations: []
Exploring Operation: 45-43=2, Resulting Numbers: [62, 44, 2]
Generated Node #2: [62, 44, 2] from Operation: 45-43=2
Current State: 53:[62, 44, 2], Operations: ['45-43=2']
Exploring Operation: 62+44=106, Resulting Numbers: [2, 106]
Generated Node #3: [2, 106] from Operation: 62+44=106
Current State: 53:[2, 106], Operations: ['45-43=2', '62+44=106']
Exploring Operation: 106/2=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
40,
50,
49,
21
] | 20 | [
"40+50=90",
"49+21=70",
"90-70=20"
] | Current State: 20:[40, 50, 49, 21], Operations: []
Exploring Operation: 40+50=90, Resulting Numbers: [49, 21, 90]
Generated Node #2: [49, 21, 90] from Operation: 40+50=90
Current State: 20:[49, 21, 90], Operations: ['40+50=90']
Exploring Operation: 49+21=70, Resulting Numbers: [90, 70]
Generated Node #3: [90, 70] from Operation: 49+21=70
Current State: 20:[90, 70], Operations: ['40+50=90', '49+21=70']
Exploring Operation: 90-70=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
99,
71,
43,
70
] | 57 | [
"99+71=170",
"43+70=113",
"170-113=57"
] | Current State: 57:[99, 71, 43, 70], Operations: []
Exploring Operation: 99+71=170, Resulting Numbers: [43, 70, 170]
Generated Node #2: [43, 70, 170] from Operation: 99+71=170
Current State: 57:[43, 70, 170], Operations: ['99+71=170']
Exploring Operation: 43+70=113, Resulting Numbers: [170, 113]
Generated Node #3: [170, 113] from Operation: 43+70=113
Current State: 57:[170, 113], Operations: ['99+71=170', '43+70=113']
Exploring Operation: 170-113=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
63,
13,
89,
42
] | 84 | [
"89-63=26",
"26/13=2",
"42*2=84"
] | Current State: 84:[63, 13, 89, 42], Operations: []
Exploring Operation: 89-63=26, Resulting Numbers: [13, 42, 26]
Generated Node #2: [13, 42, 26] from Operation: 89-63=26
Current State: 84:[13, 42, 26], Operations: ['89-63=26']
Exploring Operation: 26/13=2, Resulting Numbers: [42, 2]
Generated Node #3: [42, 2] from Operation: 26/13=2
Current State: 84:[42, 2], Operations: ['89-63=26', '26/13=2']
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
41,
75,
43,
60
] | 51 | [
"75-41=34",
"60-43=17",
"34+17=51"
] | Current State: 51:[41, 75, 43, 60], Operations: []
Exploring Operation: 75-41=34, Resulting Numbers: [43, 60, 34]
Generated Node #2: [43, 60, 34] from Operation: 75-41=34
Current State: 51:[43, 60, 34], Operations: ['75-41=34']
Exploring Operation: 60-43=17, Resulting Numbers: [34, 17]
Generated Node #3: [34, 17] from Operation: 60-43=17
Current State: 51:[34, 17], Operations: ['75-41=34', '60-43=17']
Exploring Operation: 34+17=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
9,
40,
38,
10
] | 92 | [
"9*10=90",
"40-38=2",
"90+2=92"
] | Current State: 92:[9, 40, 38, 10], Operations: []
Exploring Operation: 9*10=90, Resulting Numbers: [40, 38, 90]
Generated Node #2: [40, 38, 90] from Operation: 9*10=90
Current State: 92:[40, 38, 90], Operations: ['9*10=90']
Exploring Operation: 40-38=2, Resulting Numbers: [90, 2]
Generated Node #3: [90, 2] from Operation: 40-38=2
Current State: 92:[90, 2], Operations: ['9*10=90', '40-38=2']
Exploring Operation: 90+2=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
87,
90,
36,
69
] | 99 | [
"90-87=3",
"69-36=33",
"3*33=99"
] | Current State: 99:[87, 90, 36, 69], Operations: []
Exploring Operation: 90-87=3, Resulting Numbers: [36, 69, 3]
Generated Node #2: [36, 69, 3] from Operation: 90-87=3
Current State: 99:[36, 69, 3], Operations: ['90-87=3']
Exploring Operation: 69-36=33, Resulting Numbers: [3, 33]
Generated Node #3: [3, 33] from Operation: 69-36=33
Current State: 99:[3, 33], Operations: ['90-87=3', '69-36=33']
Exploring Operation: 3*33=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
68,
48,
56,
40
] | 58 | [
"68-48=20",
"40/20=2",
"56+2=58"
] | Current State: 58:[68, 48, 56, 40], Operations: []
Exploring Operation: 68-48=20, Resulting Numbers: [56, 40, 20]
Generated Node #2: [56, 40, 20] from Operation: 68-48=20
Current State: 58:[56, 40, 20], Operations: ['68-48=20']
Exploring Operation: 40/20=2, Resulting Numbers: [56, 2]
Generated Node #3: [56, 2] from Operation: 40/20=2
Current State: 58:[56, 2], Operations: ['68-48=20', '40/20=2']
Exploring Operation: 56+2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
68,
63,
7,
69
] | 69 | [
"68+63=131",
"69-7=62",
"131-62=69"
] | Current State: 69:[68, 63, 7, 69], Operations: []
Exploring Operation: 68+63=131, Resulting Numbers: [7, 69, 131]
Generated Node #2: [7, 69, 131] from Operation: 68+63=131
Current State: 69:[7, 69, 131], Operations: ['68+63=131']
Exploring Operation: 69-7=62, Resulting Numbers: [131, 62]
Generated Node #3: [131, 62] from Operation: 69-7=62
Current State: 69:[131, 62], Operations: ['68+63=131', '69-7=62']
Exploring Operation: 131-62=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
20,
26,
14,
43
] | 60 | [
"26+14=40",
"43-40=3",
"20*3=60"
] | Current State: 60:[20, 26, 14, 43], Operations: []
Exploring Operation: 26+14=40, Resulting Numbers: [20, 43, 40]
Generated Node #2: [20, 43, 40] from Operation: 26+14=40
Current State: 60:[20, 43, 40], Operations: ['26+14=40']
Exploring Operation: 43-40=3, Resulting Numbers: [20, 3]
Generated Node #3: [20, 3] from Operation: 43-40=3
Current State: 60:[20, 3], Operations: ['26+14=40', '43-40=3']
Exploring Operation: 20*3=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
76,
30,
50,
61
] | 100 | [
"76-61=15",
"30*50=1500",
"1500/15=100"
] | Current State: 100:[76, 30, 50, 61], Operations: []
Exploring Operation: 76-61=15, Resulting Numbers: [30, 50, 15]
Generated Node #2: [30, 50, 15] from Operation: 76-61=15
Current State: 100:[30, 50, 15], Operations: ['76-61=15']
Exploring Operation: 30*50=1500, Resulting Numbers: [15, 1500]
Generated Node #3: [15, 1500] from Operation: 30*50=1500
Current State: 100:[15, 1500], Operations: ['76-61=15', '30*50=1500']
Exploring Operation: 1500/15=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
69,
4,
94,
7
] | 83 | [
"4+94=98",
"98/7=14",
"69+14=83"
] | Current State: 83:[69, 4, 94, 7], Operations: []
Exploring Operation: 4+94=98, Resulting Numbers: [69, 7, 98]
Generated Node #2: [69, 7, 98] from Operation: 4+94=98
Current State: 83:[69, 7, 98], Operations: ['4+94=98']
Exploring Operation: 98/7=14, Resulting Numbers: [69, 14]
Generated Node #3: [69, 14] from Operation: 98/7=14
Current State: 83:[69, 14], Operations: ['4+94=98', '98/7=14']
Exploring Operation: 69+14=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
78,
70,
68,
13
] | 12 | [
"78/13=6",
"70-68=2",
"6*2=12"
] | Current State: 12:[78, 70, 68, 13], Operations: []
Exploring Operation: 78/13=6, Resulting Numbers: [70, 68, 6]
Generated Node #2: [70, 68, 6] from Operation: 78/13=6
Current State: 12:[70, 68, 6], Operations: ['78/13=6']
Exploring Operation: 70-68=2, Resulting Numbers: [6, 2]
Generated Node #3: [6, 2] from Operation: 70-68=2
Current State: 12:[6, 2], Operations: ['78/13=6', '70-68=2']
Exploring Operation: 6*2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
30,
24,
76,
78
] | 78 | [
"78-30=48",
"48/24=2",
"76+2=78"
] | Current State: 78:[30, 24, 76, 78], Operations: []
Exploring Operation: 78-30=48, Resulting Numbers: [24, 76, 48]
Generated Node #2: [24, 76, 48] from Operation: 78-30=48
Current State: 78:[24, 76, 48], Operations: ['78-30=48']
Exploring Operation: 48/24=2, Resulting Numbers: [76, 2]
Generated Node #3: [76, 2] from Operation: 48/24=2
Current State: 78:[76, 2], Operations: ['78-30=48', '48/24=2']
Exploring Operation: 76+2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
78,
2,
78,
33
] | 33 | [
"78-78=0",
"2*0=0",
"33+0=33"
] | Current State: 33:[78, 2, 78, 33], Operations: []
Exploring Operation: 78-78=0, Resulting Numbers: [2, 33, 0]
Generated Node #2: [2, 33, 0] from Operation: 78-78=0
Current State: 33:[2, 33, 0], Operations: ['78-78=0']
Exploring Operation: 2*0=0, Resulting Numbers: [33, 0]
Generated Node #3: [33, 0] from Operation: 2*0=0
Current State: 33:[33, 0], Operations: ['78-78=0', '2*0=0']
Exploring Operation: 33+0=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
8,
13,
88,
5
] | 89 | [
"13-8=5",
"5/5=1",
"88+1=89"
] | Current State: 89:[8, 13, 88, 5], Operations: []
Exploring Operation: 13-8=5, Resulting Numbers: [88, 5, 5]
Generated Node #2: [88, 5, 5] from Operation: 13-8=5
Current State: 89:[88, 5, 5], Operations: ['13-8=5']
Exploring Operation: 5/5=1, Resulting Numbers: [88, 1]
Generated Node #3: [88, 1] from Operation: 5/5=1
Current State: 89:[88, 1], Operations: ['13-8=5', '5/5=1']
Exploring Operation: 88+1=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
5,
96,
31,
2
] | 26 | [
"96-31=65",
"65/5=13",
"2*13=26"
] | Current State: 26:[5, 96, 31, 2], Operations: []
Exploring Operation: 96-31=65, Resulting Numbers: [5, 2, 65]
Generated Node #2: [5, 2, 65] from Operation: 96-31=65
Current State: 26:[5, 2, 65], Operations: ['96-31=65']
Exploring Operation: 65/5=13, Resulting Numbers: [2, 13]
Generated Node #3: [2, 13] from Operation: 65/5=13
Current State: 26:[2, 13], Operations: ['96-31=65', '65/5=13']
Exploring Operation: 2*13=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
21,
41,
42,
23
] | 40 | [
"23-21=2",
"41*2=82",
"82-42=40"
] | Current State: 40:[21, 41, 42, 23], Operations: []
Exploring Operation: 23-21=2, Resulting Numbers: [41, 42, 2]
Generated Node #2: [41, 42, 2] from Operation: 23-21=2
Current State: 40:[41, 42, 2], Operations: ['23-21=2']
Exploring Operation: 41*2=82, Resulting Numbers: [42, 82]
Generated Node #3: [42, 82] from Operation: 41*2=82
Current State: 40:[42, 82], Operations: ['23-21=2', '41*2=82']
Exploring Operation: 82-42=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
57,
18,
20,
4
] | 15 | [
"57+18=75",
"20/4=5",
"75/5=15"
] | Current State: 15:[57, 18, 20, 4], Operations: []
Exploring Operation: 57+18=75, Resulting Numbers: [20, 4, 75]
Generated Node #2: [20, 4, 75] from Operation: 57+18=75
Current State: 15:[20, 4, 75], Operations: ['57+18=75']
Exploring Operation: 20/4=5, Resulting Numbers: [75, 5]
Generated Node #3: [75, 5] from Operation: 20/4=5
Current State: 15:[75, 5], Operations: ['57+18=75', '20/4=5']
Exploring Operation: 75/5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
29,
43,
46,
49
] | 17 | [
"43-29=14",
"49-46=3",
"14+3=17"
] | Current State: 17:[29, 43, 46, 49], Operations: []
Exploring Operation: 43-29=14, Resulting Numbers: [46, 49, 14]
Generated Node #2: [46, 49, 14] from Operation: 43-29=14
Current State: 17:[46, 49, 14], Operations: ['43-29=14']
Exploring Operation: 49-46=3, Resulting Numbers: [14, 3]
Generated Node #3: [14, 3] from Operation: 49-46=3
Current State: 17:[14, 3], Operations: ['43-29=14', '49-46=3']
Exploring Operation: 14+3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
54,
9,
9,
38
] | 15 | [
"54-38=16",
"9/9=1",
"16-1=15"
] | Current State: 15:[54, 9, 9, 38], Operations: []
Exploring Operation: 54-38=16, Resulting Numbers: [9, 9, 16]
Generated Node #2: [9, 9, 16] from Operation: 54-38=16
Current State: 15:[9, 9, 16], Operations: ['54-38=16']
Exploring Operation: 9/9=1, Resulting Numbers: [16, 1]
Generated Node #3: [16, 1] from Operation: 9/9=1
Current State: 15:[16, 1], Operations: ['54-38=16', '9/9=1']
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
60,
10,
32,
25
] | 74 | [
"32*25=800",
"800-60=740",
"740/10=74"
] | Current State: 74:[60, 10, 32, 25], Operations: []
Exploring Operation: 32*25=800, Resulting Numbers: [60, 10, 800]
Generated Node #2: [60, 10, 800] from Operation: 32*25=800
Current State: 74:[60, 10, 800], Operations: ['32*25=800']
Exploring Operation: 800-60=740, Resulting Numbers: [10, 740]
Generated Node #3: [10, 740] from Operation: 800-60=740
Current State: 74:[10, 740], Operations: ['32*25=800', '800-60=740']
Exploring Operation: 740/10=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
15,
10,
57,
94
] | 30 | [
"15*94=1410",
"57-10=47",
"1410/47=30"
] | Current State: 30:[15, 10, 57, 94], Operations: []
Exploring Operation: 15*94=1410, Resulting Numbers: [10, 57, 1410]
Generated Node #2: [10, 57, 1410] from Operation: 15*94=1410
Current State: 30:[10, 57, 1410], Operations: ['15*94=1410']
Exploring Operation: 57-10=47, Resulting Numbers: [1410, 47]
Generated Node #3: [1410, 47] from Operation: 57-10=47
Current State: 30:[1410, 47], Operations: ['15*94=1410', '57-10=47']
Exploring Operation: 1410/47=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
31,
36,
5,
21
] | 93 | [
"31+36=67",
"5+21=26",
"67+26=93"
] | Current State: 93:[31, 36, 5, 21], Operations: []
Exploring Operation: 31+36=67, Resulting Numbers: [5, 21, 67]
Generated Node #2: [5, 21, 67] from Operation: 31+36=67
Current State: 93:[5, 21, 67], Operations: ['31+36=67']
Exploring Operation: 5+21=26, Resulting Numbers: [67, 26]
Generated Node #3: [67, 26] from Operation: 5+21=26
Current State: 93:[67, 26], Operations: ['31+36=67', '5+21=26']
Exploring Operation: 67+26=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
5,
72,
38,
29
] | 10 | [
"5+72=77",
"38+29=67",
"77-67=10"
] | Current State: 10:[5, 72, 38, 29], Operations: []
Exploring Operation: 5+72=77, Resulting Numbers: [38, 29, 77]
Generated Node #2: [38, 29, 77] from Operation: 5+72=77
Current State: 10:[38, 29, 77], Operations: ['5+72=77']
Exploring Operation: 38+29=67, Resulting Numbers: [77, 67]
Generated Node #3: [77, 67] from Operation: 38+29=67
Current State: 10:[77, 67], Operations: ['5+72=77', '38+29=67']
Exploring Operation: 77-67=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
20,
3,
62,
94
] | 92 | [
"20*3=60",
"94-62=32",
"60+32=92"
] | Current State: 92:[20, 3, 62, 94], Operations: []
Exploring Operation: 20*3=60, Resulting Numbers: [62, 94, 60]
Generated Node #2: [62, 94, 60] from Operation: 20*3=60
Current State: 92:[62, 94, 60], Operations: ['20*3=60']
Exploring Operation: 94-62=32, Resulting Numbers: [60, 32]
Generated Node #3: [60, 32] from Operation: 94-62=32
Current State: 92:[60, 32], Operations: ['20*3=60', '94-62=32']
Exploring Operation: 60+32=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
99,
63,
47,
20
] | 18 | [
"99*20=1980",
"63+47=110",
"1980/110=18"
] | Current State: 18:[99, 63, 47, 20], Operations: []
Exploring Operation: 99*20=1980, Resulting Numbers: [63, 47, 1980]
Generated Node #2: [63, 47, 1980] from Operation: 99*20=1980
Current State: 18:[63, 47, 1980], Operations: ['99*20=1980']
Exploring Operation: 63+47=110, Resulting Numbers: [1980, 110]
Generated Node #3: [1980, 110] from Operation: 63+47=110
Current State: 18:[1980, 110], Operations: ['99*20=1980', '63+47=110']
Exploring Operation: 1980/110=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
79,
67,
39,
65
] | 59 | [
"79+39=118",
"67-65=2",
"118/2=59"
] | Current State: 59:[79, 67, 39, 65], Operations: []
Exploring Operation: 79+39=118, Resulting Numbers: [67, 65, 118]
Generated Node #2: [67, 65, 118] from Operation: 79+39=118
Current State: 59:[67, 65, 118], Operations: ['79+39=118']
Exploring Operation: 67-65=2, Resulting Numbers: [118, 2]
Generated Node #3: [118, 2] from Operation: 67-65=2
Current State: 59:[118, 2], Operations: ['79+39=118', '67-65=2']
Exploring Operation: 118/2=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
9,
86,
41,
27
] | 91 | [
"86-9=77",
"41-27=14",
"77+14=91"
] | Current State: 91:[9, 86, 41, 27], Operations: []
Exploring Operation: 86-9=77, Resulting Numbers: [41, 27, 77]
Generated Node #2: [41, 27, 77] from Operation: 86-9=77
Current State: 91:[41, 27, 77], Operations: ['86-9=77']
Exploring Operation: 41-27=14, Resulting Numbers: [77, 14]
Generated Node #3: [77, 14] from Operation: 41-27=14
Current State: 91:[77, 14], Operations: ['86-9=77', '41-27=14']
Exploring Operation: 77+14=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
46,
2,
8,
40
] | 44 | [
"46*2=92",
"8+40=48",
"92-48=44"
] | Current State: 44:[46, 2, 8, 40], Operations: []
Exploring Operation: 46*2=92, Resulting Numbers: [8, 40, 92]
Generated Node #2: [8, 40, 92] from Operation: 46*2=92
Current State: 44:[8, 40, 92], Operations: ['46*2=92']
Exploring Operation: 8+40=48, Resulting Numbers: [92, 48]
Generated Node #3: [92, 48] from Operation: 8+40=48
Current State: 44:[92, 48], Operations: ['46*2=92', '8+40=48']
Exploring Operation: 92-48=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
51,
14,
13,
55
] | 76 | [
"51+55=106",
"14*13=182",
"182-106=76"
] | Current State: 76:[51, 14, 13, 55], Operations: []
Exploring Operation: 51+55=106, Resulting Numbers: [14, 13, 106]
Generated Node #2: [14, 13, 106] from Operation: 51+55=106
Current State: 76:[14, 13, 106], Operations: ['51+55=106']
Exploring Operation: 14*13=182, Resulting Numbers: [106, 182]
Generated Node #3: [106, 182] from Operation: 14*13=182
Current State: 76:[106, 182], Operations: ['51+55=106', '14*13=182']
Exploring Operation: 182-106=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
56,
14,
12,
33
] | 63 | [
"56-14=42",
"33-12=21",
"42+21=63"
] | Current State: 63:[56, 14, 12, 33], Operations: []
Exploring Operation: 56-14=42, Resulting Numbers: [12, 33, 42]
Generated Node #2: [12, 33, 42] from Operation: 56-14=42
Current State: 63:[12, 33, 42], Operations: ['56-14=42']
Exploring Operation: 33-12=21, Resulting Numbers: [42, 21]
Generated Node #3: [42, 21] from Operation: 33-12=21
Current State: 63:[42, 21], Operations: ['56-14=42', '33-12=21']
Exploring Operation: 42+21=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
33,
66,
42,
75
] | 67 | [
"33+42=75",
"75/75=1",
"66+1=67"
] | Current State: 67:[33, 66, 42, 75], Operations: []
Exploring Operation: 33+42=75, Resulting Numbers: [66, 75, 75]
Generated Node #2: [66, 75, 75] from Operation: 33+42=75
Current State: 67:[66, 75, 75], Operations: ['33+42=75']
Exploring Operation: 75/75=1, Resulting Numbers: [66, 1]
Generated Node #3: [66, 1] from Operation: 75/75=1
Current State: 67:[66, 1], Operations: ['33+42=75', '75/75=1']
Exploring Operation: 66+1=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
84,
6,
30,
14
] | 84 | [
"84*6=504",
"30*14=420",
"504-420=84"
] | Current State: 84:[84, 6, 30, 14], Operations: []
Exploring Operation: 84*6=504, Resulting Numbers: [30, 14, 504]
Generated Node #2: [30, 14, 504] from Operation: 84*6=504
Current State: 84:[30, 14, 504], Operations: ['84*6=504']
Exploring Operation: 30*14=420, Resulting Numbers: [504, 420]
Generated Node #3: [504, 420] from Operation: 30*14=420
Current State: 84:[504, 420], Operations: ['84*6=504', '30*14=420']
Exploring Operation: 504-420=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
41,
84,
20,
52
] | 53 | [
"41+84=125",
"20+52=72",
"125-72=53"
] | Current State: 53:[41, 84, 20, 52], Operations: []
Exploring Operation: 41+84=125, Resulting Numbers: [20, 52, 125]
Generated Node #2: [20, 52, 125] from Operation: 41+84=125
Current State: 53:[20, 52, 125], Operations: ['41+84=125']
Exploring Operation: 20+52=72, Resulting Numbers: [125, 72]
Generated Node #3: [125, 72] from Operation: 20+52=72
Current State: 53:[125, 72], Operations: ['41+84=125', '20+52=72']
Exploring Operation: 125-72=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
26,
94,
50,
5
] | 78 | [
"94-26=68",
"50/5=10",
"68+10=78"
] | Current State: 78:[26, 94, 50, 5], Operations: []
Exploring Operation: 94-26=68, Resulting Numbers: [50, 5, 68]
Generated Node #2: [50, 5, 68] from Operation: 94-26=68
Current State: 78:[50, 5, 68], Operations: ['94-26=68']
Exploring Operation: 50/5=10, Resulting Numbers: [68, 10]
Generated Node #3: [68, 10] from Operation: 50/5=10
Current State: 78:[68, 10], Operations: ['94-26=68', '50/5=10']
Exploring Operation: 68+10=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
2,
27,
4,
35
] | 31 | [
"4-2=2",
"27+35=62",
"62/2=31"
] | Current State: 31:[2, 27, 4, 35], Operations: []
Exploring Operation: 4-2=2, Resulting Numbers: [27, 35, 2]
Generated Node #2: [27, 35, 2] from Operation: 4-2=2
Current State: 31:[27, 35, 2], Operations: ['4-2=2']
Exploring Operation: 27+35=62, Resulting Numbers: [2, 62]
Generated Node #3: [2, 62] from Operation: 27+35=62
Current State: 31:[2, 62], Operations: ['4-2=2', '27+35=62']
Exploring Operation: 62/2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
60,
38,
69,
76
] | 29 | [
"60-38=22",
"76-69=7",
"22+7=29"
] | Current State: 29:[60, 38, 69, 76], Operations: []
Exploring Operation: 60-38=22, Resulting Numbers: [69, 76, 22]
Generated Node #2: [69, 76, 22] from Operation: 60-38=22
Current State: 29:[69, 76, 22], Operations: ['60-38=22']
Exploring Operation: 76-69=7, Resulting Numbers: [22, 7]
Generated Node #3: [22, 7] from Operation: 76-69=7
Current State: 29:[22, 7], Operations: ['60-38=22', '76-69=7']
Exploring Operation: 22+7=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
50,
19,
8,
75
] | 98 | [
"50-19=31",
"75-8=67",
"31+67=98"
] | Current State: 98:[50, 19, 8, 75], Operations: []
Exploring Operation: 50-19=31, Resulting Numbers: [8, 75, 31]
Generated Node #2: [8, 75, 31] from Operation: 50-19=31
Current State: 98:[8, 75, 31], Operations: ['50-19=31']
Exploring Operation: 75-8=67, Resulting Numbers: [31, 67]
Generated Node #3: [31, 67] from Operation: 75-8=67
Current State: 98:[31, 67], Operations: ['50-19=31', '75-8=67']
Exploring Operation: 31+67=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
53,
72,
58,
28
] | 67 | [
"72-53=19",
"58+28=86",
"86-19=67"
] | Current State: 67:[53, 72, 58, 28], Operations: []
Exploring Operation: 72-53=19, Resulting Numbers: [58, 28, 19]
Generated Node #2: [58, 28, 19] from Operation: 72-53=19
Current State: 67:[58, 28, 19], Operations: ['72-53=19']
Exploring Operation: 58+28=86, Resulting Numbers: [19, 86]
Generated Node #3: [19, 86] from Operation: 58+28=86
Current State: 67:[19, 86], Operations: ['72-53=19', '58+28=86']
Exploring Operation: 86-19=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
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