nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
51,
26,
46,
28
] | 56 | [
"28-26=2",
"51*2=102",
"102-46=56"
] | Current State: 56:[51, 26, 46, 28], Operations: []
Exploring Operation: 28-26=2, Resulting Numbers: [51, 46, 2]
Generated Node #2: [51, 46, 2] from Operation: 28-26=2
Current State: 56:[51, 46, 2], Operations: ['28-26=2']
Exploring Operation: 51*2=102, Resulting Numbers: [46, 102]
Generated Node #3: [46, 102] from Operation: 51*2=102
Current State: 56:[46, 102], Operations: ['28-26=2', '51*2=102']
Exploring Operation: 102-46=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
17,
83,
41,
28
] | 87 | [
"17+83=100",
"41-28=13",
"100-13=87"
] | Current State: 87:[17, 83, 41, 28], Operations: []
Exploring Operation: 17+83=100, Resulting Numbers: [41, 28, 100]
Generated Node #2: [41, 28, 100] from Operation: 17+83=100
Current State: 87:[41, 28, 100], Operations: ['17+83=100']
Exploring Operation: 41-28=13, Resulting Numbers: [100, 13]
Generated Node #3: [100, 13] from Operation: 41-28=13
Current State: 87:[100, 13], Operations: ['17+83=100', '41-28=13']
Exploring Operation: 100-13=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
73,
75,
25,
68
] | 41 | [
"75-73=2",
"68-25=43",
"43-2=41"
] | Current State: 41:[73, 75, 25, 68], Operations: []
Exploring Operation: 75-73=2, Resulting Numbers: [25, 68, 2]
Generated Node #2: [25, 68, 2] from Operation: 75-73=2
Current State: 41:[25, 68, 2], Operations: ['75-73=2']
Exploring Operation: 68-25=43, Resulting Numbers: [2, 43]
Generated Node #3: [2, 43] from Operation: 68-25=43
Current State: 41:[2, 43], Operations: ['75-73=2', '68-25=43']
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
8,
10,
63,
89
] | 76 | [
"10-8=2",
"63+89=152",
"152/2=76"
] | Current State: 76:[8, 10, 63, 89], Operations: []
Exploring Operation: 10-8=2, Resulting Numbers: [63, 89, 2]
Generated Node #2: [63, 89, 2] from Operation: 10-8=2
Current State: 76:[63, 89, 2], Operations: ['10-8=2']
Exploring Operation: 63+89=152, Resulting Numbers: [2, 152]
Generated Node #3: [2, 152] from Operation: 63+89=152
Current State: 76:[2, 152], Operations: ['10-8=2', '63+89=152']
Exploring Operation: 152/2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
88,
22,
91,
60
] | 41 | [
"88+22=110",
"91+60=151",
"151-110=41"
] | Current State: 41:[88, 22, 91, 60], Operations: []
Exploring Operation: 88+22=110, Resulting Numbers: [91, 60, 110]
Generated Node #2: [91, 60, 110] from Operation: 88+22=110
Current State: 41:[91, 60, 110], Operations: ['88+22=110']
Exploring Operation: 91+60=151, Resulting Numbers: [110, 151]
Generated Node #3: [110, 151] from Operation: 91+60=151
Current State: 41:[110, 151], Operations: ['88+22=110', '91+60=151']
Exploring Operation: 151-110=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
95,
2,
38,
18
] | 58 | [
"95-18=77",
"38/2=19",
"77-19=58"
] | Current State: 58:[95, 2, 38, 18], Operations: []
Exploring Operation: 95-18=77, Resulting Numbers: [2, 38, 77]
Generated Node #2: [2, 38, 77] from Operation: 95-18=77
Current State: 58:[2, 38, 77], Operations: ['95-18=77']
Exploring Operation: 38/2=19, Resulting Numbers: [77, 19]
Generated Node #3: [77, 19] from Operation: 38/2=19
Current State: 58:[77, 19], Operations: ['95-18=77', '38/2=19']
Exploring Operation: 77-19=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
49,
16,
11,
69
] | 100 | [
"69-49=20",
"16-11=5",
"20*5=100"
] | Current State: 100:[49, 16, 11, 69], Operations: []
Exploring Operation: 69-49=20, Resulting Numbers: [16, 11, 20]
Generated Node #2: [16, 11, 20] from Operation: 69-49=20
Current State: 100:[16, 11, 20], Operations: ['69-49=20']
Exploring Operation: 16-11=5, Resulting Numbers: [20, 5]
Generated Node #3: [20, 5] from Operation: 16-11=5
Current State: 100:[20, 5], Operations: ['69-49=20', '16-11=5']
Exploring Operation: 20*5=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
51,
79,
7,
48
] | 44 | [
"79-51=28",
"28/7=4",
"48-4=44"
] | Current State: 44:[51, 79, 7, 48], Operations: []
Exploring Operation: 79-51=28, Resulting Numbers: [7, 48, 28]
Generated Node #2: [7, 48, 28] from Operation: 79-51=28
Current State: 44:[7, 48, 28], Operations: ['79-51=28']
Exploring Operation: 28/7=4, Resulting Numbers: [48, 4]
Generated Node #3: [48, 4] from Operation: 28/7=4
Current State: 44:[48, 4], Operations: ['79-51=28', '28/7=4']
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
37,
79,
41,
63
] | 64 | [
"79-37=42",
"63-41=22",
"42+22=64"
] | Current State: 64:[37, 79, 41, 63], Operations: []
Exploring Operation: 79-37=42, Resulting Numbers: [41, 63, 42]
Generated Node #2: [41, 63, 42] from Operation: 79-37=42
Current State: 64:[41, 63, 42], Operations: ['79-37=42']
Exploring Operation: 63-41=22, Resulting Numbers: [42, 22]
Generated Node #3: [42, 22] from Operation: 63-41=22
Current State: 64:[42, 22], Operations: ['79-37=42', '63-41=22']
Exploring Operation: 42+22=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
3,
98,
18,
14
] | 13 | [
"18/3=6",
"98/14=7",
"6+7=13"
] | Current State: 13:[3, 98, 18, 14], Operations: []
Exploring Operation: 18/3=6, Resulting Numbers: [98, 14, 6]
Generated Node #2: [98, 14, 6] from Operation: 18/3=6
Current State: 13:[98, 14, 6], Operations: ['18/3=6']
Exploring Operation: 98/14=7, Resulting Numbers: [6, 7]
Generated Node #3: [6, 7] from Operation: 98/14=7
Current State: 13:[6, 7], Operations: ['18/3=6', '98/14=7']
Exploring Operation: 6+7=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
2,
34,
24,
84
] | 40 | [
"2*34=68",
"24+84=108",
"108-68=40"
] | Current State: 40:[2, 34, 24, 84], Operations: []
Exploring Operation: 2*34=68, Resulting Numbers: [24, 84, 68]
Generated Node #2: [24, 84, 68] from Operation: 2*34=68
Current State: 40:[24, 84, 68], Operations: ['2*34=68']
Exploring Operation: 24+84=108, Resulting Numbers: [68, 108]
Generated Node #3: [68, 108] from Operation: 24+84=108
Current State: 40:[68, 108], Operations: ['2*34=68', '24+84=108']
Exploring Operation: 108-68=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
28,
57,
32,
16
] | 58 | [
"57-28=29",
"32/16=2",
"29*2=58"
] | Current State: 58:[28, 57, 32, 16], Operations: []
Exploring Operation: 57-28=29, Resulting Numbers: [32, 16, 29]
Generated Node #2: [32, 16, 29] from Operation: 57-28=29
Current State: 58:[32, 16, 29], Operations: ['57-28=29']
Exploring Operation: 32/16=2, Resulting Numbers: [29, 2]
Generated Node #3: [29, 2] from Operation: 32/16=2
Current State: 58:[29, 2], Operations: ['57-28=29', '32/16=2']
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
82,
94,
61,
24
] | 49 | [
"94-82=12",
"61-24=37",
"12+37=49"
] | Current State: 49:[82, 94, 61, 24], Operations: []
Exploring Operation: 94-82=12, Resulting Numbers: [61, 24, 12]
Generated Node #2: [61, 24, 12] from Operation: 94-82=12
Current State: 49:[61, 24, 12], Operations: ['94-82=12']
Exploring Operation: 61-24=37, Resulting Numbers: [12, 37]
Generated Node #3: [12, 37] from Operation: 61-24=37
Current State: 49:[12, 37], Operations: ['94-82=12', '61-24=37']
Exploring Operation: 12+37=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
92,
86,
80,
78
] | 85 | [
"86*78=6708",
"92+6708=6800",
"6800/80=85"
] | Current State: 85:[92, 86, 80, 78], Operations: []
Exploring Operation: 86*78=6708, Resulting Numbers: [92, 80, 6708]
Generated Node #2: [92, 80, 6708] from Operation: 86*78=6708
Current State: 85:[92, 80, 6708], Operations: ['86*78=6708']
Exploring Operation: 92+6708=6800, Resulting Numbers: [80, 6800]
Generated Node #3: [80, 6800] from Operation: 92+6708=6800
Current State: 85:[80, 6800], Operations: ['86*78=6708', '92+6708=6800']
Exploring Operation: 6800/80=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
22,
65,
45,
30
] | 32 | [
"65-22=43",
"45+30=75",
"75-43=32"
] | Current State: 32:[22, 65, 45, 30], Operations: []
Exploring Operation: 65-22=43, Resulting Numbers: [45, 30, 43]
Generated Node #2: [45, 30, 43] from Operation: 65-22=43
Current State: 32:[45, 30, 43], Operations: ['65-22=43']
Exploring Operation: 45+30=75, Resulting Numbers: [43, 75]
Generated Node #3: [43, 75] from Operation: 45+30=75
Current State: 32:[43, 75], Operations: ['65-22=43', '45+30=75']
Exploring Operation: 75-43=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
68,
40,
16,
41
] | 52 | [
"68-16=52",
"41-40=1",
"52*1=52"
] | Current State: 52:[68, 40, 16, 41], Operations: []
Exploring Operation: 68-16=52, Resulting Numbers: [40, 41, 52]
Generated Node #2: [40, 41, 52] from Operation: 68-16=52
Current State: 52:[40, 41, 52], Operations: ['68-16=52']
Exploring Operation: 41-40=1, Resulting Numbers: [52, 1]
Generated Node #3: [52, 1] from Operation: 41-40=1
Current State: 52:[52, 1], Operations: ['68-16=52', '41-40=1']
Exploring Operation: 52*1=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
1,
61,
40,
26
] | 47 | [
"1*61=61",
"40-26=14",
"61-14=47"
] | Current State: 47:[1, 61, 40, 26], Operations: []
Exploring Operation: 1*61=61, Resulting Numbers: [40, 26, 61]
Generated Node #2: [40, 26, 61] from Operation: 1*61=61
Current State: 47:[40, 26, 61], Operations: ['1*61=61']
Exploring Operation: 40-26=14, Resulting Numbers: [61, 14]
Generated Node #3: [61, 14] from Operation: 40-26=14
Current State: 47:[61, 14], Operations: ['1*61=61', '40-26=14']
Exploring Operation: 61-14=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
7,
51,
81,
93
] | 56 | [
"51-7=44",
"93-81=12",
"44+12=56"
] | Current State: 56:[7, 51, 81, 93], Operations: []
Exploring Operation: 51-7=44, Resulting Numbers: [81, 93, 44]
Generated Node #2: [81, 93, 44] from Operation: 51-7=44
Current State: 56:[81, 93, 44], Operations: ['51-7=44']
Exploring Operation: 93-81=12, Resulting Numbers: [44, 12]
Generated Node #3: [44, 12] from Operation: 93-81=12
Current State: 56:[44, 12], Operations: ['51-7=44', '93-81=12']
Exploring Operation: 44+12=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
12,
92,
23,
39
] | 31 | [
"39-12=27",
"92/23=4",
"27+4=31"
] | Current State: 31:[12, 92, 23, 39], Operations: []
Exploring Operation: 39-12=27, Resulting Numbers: [92, 23, 27]
Generated Node #2: [92, 23, 27] from Operation: 39-12=27
Current State: 31:[92, 23, 27], Operations: ['39-12=27']
Exploring Operation: 92/23=4, Resulting Numbers: [27, 4]
Generated Node #3: [27, 4] from Operation: 92/23=4
Current State: 31:[27, 4], Operations: ['39-12=27', '92/23=4']
Exploring Operation: 27+4=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
65,
85,
91,
46
] | 25 | [
"85-65=20",
"91-46=45",
"45-20=25"
] | Current State: 25:[65, 85, 91, 46], Operations: []
Exploring Operation: 85-65=20, Resulting Numbers: [91, 46, 20]
Generated Node #2: [91, 46, 20] from Operation: 85-65=20
Current State: 25:[91, 46, 20], Operations: ['85-65=20']
Exploring Operation: 91-46=45, Resulting Numbers: [20, 45]
Generated Node #3: [20, 45] from Operation: 91-46=45
Current State: 25:[20, 45], Operations: ['85-65=20', '91-46=45']
Exploring Operation: 45-20=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
30,
80,
14,
32
] | 22 | [
"80+32=112",
"112/14=8",
"30-8=22"
] | Current State: 22:[30, 80, 14, 32], Operations: []
Exploring Operation: 80+32=112, Resulting Numbers: [30, 14, 112]
Generated Node #2: [30, 14, 112] from Operation: 80+32=112
Current State: 22:[30, 14, 112], Operations: ['80+32=112']
Exploring Operation: 112/14=8, Resulting Numbers: [30, 8]
Generated Node #3: [30, 8] from Operation: 112/14=8
Current State: 22:[30, 8], Operations: ['80+32=112', '112/14=8']
Exploring Operation: 30-8=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
15,
37,
45,
15
] | 32 | [
"45/15=3",
"15/3=5",
"37-5=32"
] | Current State: 32:[15, 37, 45, 15], Operations: []
Exploring Operation: 45/15=3, Resulting Numbers: [37, 3]
Generated Node #2: [37, 3] from Operation: 45/15=3
Current State: 32:[37, 3], Operations: ['45/15=3']
Exploring Operation: 15/3=5, Resulting Numbers: [37, 5]
Generated Node #3: [37, 5] from Operation: 15/3=5
Current State: 32:[37, 5], Operations: ['45/15=3', '15/3=5']
Exploring Operation: 37-5=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
90,
30,
62,
90
] | 93 | [
"90-30=60",
"62*90=5580",
"5580/60=93"
] | Current State: 93:[90, 30, 62, 90], Operations: []
Exploring Operation: 90-30=60, Resulting Numbers: [62, 60]
Generated Node #2: [62, 60] from Operation: 90-30=60
Current State: 93:[62, 60], Operations: ['90-30=60']
Exploring Operation: 62*90=5580, Resulting Numbers: [60, 5580]
Generated Node #3: [60, 5580] from Operation: 62*90=5580
Current State: 93:[60, 5580], Operations: ['90-30=60', '62*90=5580']
Exploring Operation: 5580/60=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
55,
69,
26,
79
] | 67 | [
"69-55=14",
"79-26=53",
"14+53=67"
] | Current State: 67:[55, 69, 26, 79], Operations: []
Exploring Operation: 69-55=14, Resulting Numbers: [26, 79, 14]
Generated Node #2: [26, 79, 14] from Operation: 69-55=14
Current State: 67:[26, 79, 14], Operations: ['69-55=14']
Exploring Operation: 79-26=53, Resulting Numbers: [14, 53]
Generated Node #3: [14, 53] from Operation: 79-26=53
Current State: 67:[14, 53], Operations: ['69-55=14', '79-26=53']
Exploring Operation: 14+53=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
83,
75,
68,
74
] | 79 | [
"83-68=15",
"75/15=5",
"74+5=79"
] | Current State: 79:[83, 75, 68, 74], Operations: []
Exploring Operation: 83-68=15, Resulting Numbers: [75, 74, 15]
Generated Node #2: [75, 74, 15] from Operation: 83-68=15
Current State: 79:[75, 74, 15], Operations: ['83-68=15']
Exploring Operation: 75/15=5, Resulting Numbers: [74, 5]
Generated Node #3: [74, 5] from Operation: 75/15=5
Current State: 79:[74, 5], Operations: ['83-68=15', '75/15=5']
Exploring Operation: 74+5=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
4,
34,
95,
4
] | 57 | [
"4+34=38",
"4*38=152",
"152-95=57"
] | Current State: 57:[4, 34, 95, 4], Operations: []
Exploring Operation: 4+34=38, Resulting Numbers: [95, 38]
Generated Node #2: [95, 38] from Operation: 4+34=38
Current State: 57:[95, 38], Operations: ['4+34=38']
Exploring Operation: 4*38=152, Resulting Numbers: [95, 152]
Generated Node #3: [95, 152] from Operation: 4*38=152
Current State: 57:[95, 152], Operations: ['4+34=38', '4*38=152']
Exploring Operation: 152-95=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
3,
84,
10,
60
] | 30 | [
"60/10=6",
"84+6=90",
"90/3=30"
] | Current State: 30:[3, 84, 10, 60], Operations: []
Exploring Operation: 60/10=6, Resulting Numbers: [3, 84, 6]
Generated Node #2: [3, 84, 6] from Operation: 60/10=6
Current State: 30:[3, 84, 6], Operations: ['60/10=6']
Exploring Operation: 84+6=90, Resulting Numbers: [3, 90]
Generated Node #3: [3, 90] from Operation: 84+6=90
Current State: 30:[3, 90], Operations: ['60/10=6', '84+6=90']
Exploring Operation: 90/3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
27,
86,
36,
7
] | 95 | [
"27+36=63",
"63/7=9",
"86+9=95"
] | Current State: 95:[27, 86, 36, 7], Operations: []
Exploring Operation: 27+36=63, Resulting Numbers: [86, 7, 63]
Generated Node #2: [86, 7, 63] from Operation: 27+36=63
Current State: 95:[86, 7, 63], Operations: ['27+36=63']
Exploring Operation: 63/7=9, Resulting Numbers: [86, 9]
Generated Node #3: [86, 9] from Operation: 63/7=9
Current State: 95:[86, 9], Operations: ['27+36=63', '63/7=9']
Exploring Operation: 86+9=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
6,
84,
29,
48
] | 30 | [
"48-29=19",
"6*19=114",
"114-84=30"
] | Current State: 30:[6, 84, 29, 48], Operations: []
Exploring Operation: 48-29=19, Resulting Numbers: [6, 84, 19]
Generated Node #2: [6, 84, 19] from Operation: 48-29=19
Current State: 30:[6, 84, 19], Operations: ['48-29=19']
Exploring Operation: 6*19=114, Resulting Numbers: [84, 114]
Generated Node #3: [84, 114] from Operation: 6*19=114
Current State: 30:[84, 114], Operations: ['48-29=19', '6*19=114']
Exploring Operation: 114-84=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
84,
85,
9,
24
] | 34 | [
"85-84=1",
"9+24=33",
"1+33=34"
] | Current State: 34:[84, 85, 9, 24], Operations: []
Exploring Operation: 85-84=1, Resulting Numbers: [9, 24, 1]
Generated Node #2: [9, 24, 1] from Operation: 85-84=1
Current State: 34:[9, 24, 1], Operations: ['85-84=1']
Exploring Operation: 9+24=33, Resulting Numbers: [1, 33]
Generated Node #3: [1, 33] from Operation: 9+24=33
Current State: 34:[1, 33], Operations: ['85-84=1', '9+24=33']
Exploring Operation: 1+33=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
63,
28,
90,
29
] | 56 | [
"90-63=27",
"29-27=2",
"28*2=56"
] | Current State: 56:[63, 28, 90, 29], Operations: []
Exploring Operation: 90-63=27, Resulting Numbers: [28, 29, 27]
Generated Node #2: [28, 29, 27] from Operation: 90-63=27
Current State: 56:[28, 29, 27], Operations: ['90-63=27']
Exploring Operation: 29-27=2, Resulting Numbers: [28, 2]
Generated Node #3: [28, 2] from Operation: 29-27=2
Current State: 56:[28, 2], Operations: ['90-63=27', '29-27=2']
Exploring Operation: 28*2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
93,
52,
86,
74
] | 18 | [
"93-86=7",
"52+74=126",
"126/7=18"
] | Current State: 18:[93, 52, 86, 74], Operations: []
Exploring Operation: 93-86=7, Resulting Numbers: [52, 74, 7]
Generated Node #2: [52, 74, 7] from Operation: 93-86=7
Current State: 18:[52, 74, 7], Operations: ['93-86=7']
Exploring Operation: 52+74=126, Resulting Numbers: [7, 126]
Generated Node #3: [7, 126] from Operation: 52+74=126
Current State: 18:[7, 126], Operations: ['93-86=7', '52+74=126']
Exploring Operation: 126/7=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
16,
25,
6,
86
] | 81 | [
"16*25=400",
"86+400=486",
"486/6=81"
] | Current State: 81:[16, 25, 6, 86], Operations: []
Exploring Operation: 16*25=400, Resulting Numbers: [6, 86, 400]
Generated Node #2: [6, 86, 400] from Operation: 16*25=400
Current State: 81:[6, 86, 400], Operations: ['16*25=400']
Exploring Operation: 86+400=486, Resulting Numbers: [6, 486]
Generated Node #3: [6, 486] from Operation: 86+400=486
Current State: 81:[6, 486], Operations: ['16*25=400', '86+400=486']
Exploring Operation: 486/6=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
75,
68,
80,
6
] | 81 | [
"75-68=7",
"80-6=74",
"7+74=81"
] | Current State: 81:[75, 68, 80, 6], Operations: []
Exploring Operation: 75-68=7, Resulting Numbers: [80, 6, 7]
Generated Node #2: [80, 6, 7] from Operation: 75-68=7
Current State: 81:[80, 6, 7], Operations: ['75-68=7']
Exploring Operation: 80-6=74, Resulting Numbers: [7, 74]
Generated Node #3: [7, 74] from Operation: 80-6=74
Current State: 81:[7, 74], Operations: ['75-68=7', '80-6=74']
Exploring Operation: 7+74=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
54,
5,
86,
62
] | 89 | [
"54+5=59",
"86+62=148",
"148-59=89"
] | Current State: 89:[54, 5, 86, 62], Operations: []
Exploring Operation: 54+5=59, Resulting Numbers: [86, 62, 59]
Generated Node #2: [86, 62, 59] from Operation: 54+5=59
Current State: 89:[86, 62, 59], Operations: ['54+5=59']
Exploring Operation: 86+62=148, Resulting Numbers: [59, 148]
Generated Node #3: [59, 148] from Operation: 86+62=148
Current State: 89:[59, 148], Operations: ['54+5=59', '86+62=148']
Exploring Operation: 148-59=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
72,
41,
98,
40
] | 89 | [
"72-41=31",
"98-40=58",
"31+58=89"
] | Current State: 89:[72, 41, 98, 40], Operations: []
Exploring Operation: 72-41=31, Resulting Numbers: [98, 40, 31]
Generated Node #2: [98, 40, 31] from Operation: 72-41=31
Current State: 89:[98, 40, 31], Operations: ['72-41=31']
Exploring Operation: 98-40=58, Resulting Numbers: [31, 58]
Generated Node #3: [31, 58] from Operation: 98-40=58
Current State: 89:[31, 58], Operations: ['72-41=31', '98-40=58']
Exploring Operation: 31+58=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
43,
46,
29,
54
] | 33 | [
"46-43=3",
"29*3=87",
"87-54=33"
] | Current State: 33:[43, 46, 29, 54], Operations: []
Exploring Operation: 46-43=3, Resulting Numbers: [29, 54, 3]
Generated Node #2: [29, 54, 3] from Operation: 46-43=3
Current State: 33:[29, 54, 3], Operations: ['46-43=3']
Exploring Operation: 29*3=87, Resulting Numbers: [54, 87]
Generated Node #3: [54, 87] from Operation: 29*3=87
Current State: 33:[54, 87], Operations: ['46-43=3', '29*3=87']
Exploring Operation: 87-54=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
71,
32,
88,
29
] | 51 | [
"88-71=17",
"32-29=3",
"17*3=51"
] | Current State: 51:[71, 32, 88, 29], Operations: []
Exploring Operation: 88-71=17, Resulting Numbers: [32, 29, 17]
Generated Node #2: [32, 29, 17] from Operation: 88-71=17
Current State: 51:[32, 29, 17], Operations: ['88-71=17']
Exploring Operation: 32-29=3, Resulting Numbers: [17, 3]
Generated Node #3: [17, 3] from Operation: 32-29=3
Current State: 51:[17, 3], Operations: ['88-71=17', '32-29=3']
Exploring Operation: 17*3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
50,
10,
20,
22
] | 78 | [
"50/10=5",
"20*5=100",
"100-22=78"
] | Current State: 78:[50, 10, 20, 22], Operations: []
Exploring Operation: 50/10=5, Resulting Numbers: [20, 22, 5]
Generated Node #2: [20, 22, 5] from Operation: 50/10=5
Current State: 78:[20, 22, 5], Operations: ['50/10=5']
Exploring Operation: 20*5=100, Resulting Numbers: [22, 100]
Generated Node #3: [22, 100] from Operation: 20*5=100
Current State: 78:[22, 100], Operations: ['50/10=5', '20*5=100']
Exploring Operation: 100-22=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
50,
74,
81,
6
] | 63 | [
"74-50=24",
"81+6=87",
"87-24=63"
] | Current State: 63:[50, 74, 81, 6], Operations: []
Exploring Operation: 74-50=24, Resulting Numbers: [81, 6, 24]
Generated Node #2: [81, 6, 24] from Operation: 74-50=24
Current State: 63:[81, 6, 24], Operations: ['74-50=24']
Exploring Operation: 81+6=87, Resulting Numbers: [24, 87]
Generated Node #3: [24, 87] from Operation: 81+6=87
Current State: 63:[24, 87], Operations: ['74-50=24', '81+6=87']
Exploring Operation: 87-24=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
63,
93,
4,
3
] | 76 | [
"63/3=21",
"93+4=97",
"97-21=76"
] | Current State: 76:[63, 93, 4, 3], Operations: []
Exploring Operation: 63/3=21, Resulting Numbers: [93, 4, 21]
Generated Node #2: [93, 4, 21] from Operation: 63/3=21
Current State: 76:[93, 4, 21], Operations: ['63/3=21']
Exploring Operation: 93+4=97, Resulting Numbers: [21, 97]
Generated Node #3: [21, 97] from Operation: 93+4=97
Current State: 76:[21, 97], Operations: ['63/3=21', '93+4=97']
Exploring Operation: 97-21=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
26,
57,
68,
74
] | 25 | [
"57-26=31",
"74-68=6",
"31-6=25"
] | Current State: 25:[26, 57, 68, 74], Operations: []
Exploring Operation: 57-26=31, Resulting Numbers: [68, 74, 31]
Generated Node #2: [68, 74, 31] from Operation: 57-26=31
Current State: 25:[68, 74, 31], Operations: ['57-26=31']
Exploring Operation: 74-68=6, Resulting Numbers: [31, 6]
Generated Node #3: [31, 6] from Operation: 74-68=6
Current State: 25:[31, 6], Operations: ['57-26=31', '74-68=6']
Exploring Operation: 31-6=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
86,
64,
64,
17
] | 69 | [
"86+64=150",
"64+17=81",
"150-81=69"
] | Current State: 69:[86, 64, 64, 17], Operations: []
Exploring Operation: 86+64=150, Resulting Numbers: [17, 150]
Generated Node #2: [17, 150] from Operation: 86+64=150
Current State: 69:[17, 150], Operations: ['86+64=150']
Exploring Operation: 64+17=81, Resulting Numbers: [150, 81]
Generated Node #3: [150, 81] from Operation: 64+17=81
Current State: 69:[150, 81], Operations: ['86+64=150', '64+17=81']
Exploring Operation: 150-81=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
4,
6,
96,
46
] | 40 | [
"4+6=10",
"96-46=50",
"50-10=40"
] | Current State: 40:[4, 6, 96, 46], Operations: []
Exploring Operation: 4+6=10, Resulting Numbers: [96, 46, 10]
Generated Node #2: [96, 46, 10] from Operation: 4+6=10
Current State: 40:[96, 46, 10], Operations: ['4+6=10']
Exploring Operation: 96-46=50, Resulting Numbers: [10, 50]
Generated Node #3: [10, 50] from Operation: 96-46=50
Current State: 40:[10, 50], Operations: ['4+6=10', '96-46=50']
Exploring Operation: 50-10=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
37,
19,
53,
33
] | 11 | [
"37+19=56",
"56-53=3",
"33/3=11"
] | Current State: 11:[37, 19, 53, 33], Operations: []
Exploring Operation: 37+19=56, Resulting Numbers: [53, 33, 56]
Generated Node #2: [53, 33, 56] from Operation: 37+19=56
Current State: 11:[53, 33, 56], Operations: ['37+19=56']
Exploring Operation: 56-53=3, Resulting Numbers: [33, 3]
Generated Node #3: [33, 3] from Operation: 56-53=3
Current State: 11:[33, 3], Operations: ['37+19=56', '56-53=3']
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
53,
56,
94,
1
] | 97 | [
"56-53=3",
"94*1=94",
"3+94=97"
] | Current State: 97:[53, 56, 94, 1], Operations: []
Exploring Operation: 56-53=3, Resulting Numbers: [94, 1, 3]
Generated Node #2: [94, 1, 3] from Operation: 56-53=3
Current State: 97:[94, 1, 3], Operations: ['56-53=3']
Exploring Operation: 94*1=94, Resulting Numbers: [3, 94]
Generated Node #3: [3, 94] from Operation: 94*1=94
Current State: 97:[3, 94], Operations: ['56-53=3', '94*1=94']
Exploring Operation: 3+94=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
71,
74,
2,
64
] | 51 | [
"74-64=10",
"2*10=20",
"71-20=51"
] | Current State: 51:[71, 74, 2, 64], Operations: []
Exploring Operation: 74-64=10, Resulting Numbers: [71, 2, 10]
Generated Node #2: [71, 2, 10] from Operation: 74-64=10
Current State: 51:[71, 2, 10], Operations: ['74-64=10']
Exploring Operation: 2*10=20, Resulting Numbers: [71, 20]
Generated Node #3: [71, 20] from Operation: 2*10=20
Current State: 51:[71, 20], Operations: ['74-64=10', '2*10=20']
Exploring Operation: 71-20=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
90,
8,
11,
68
] | 19 | [
"90+8=98",
"11+68=79",
"98-79=19"
] | Current State: 19:[90, 8, 11, 68], Operations: []
Exploring Operation: 90+8=98, Resulting Numbers: [11, 68, 98]
Generated Node #2: [11, 68, 98] from Operation: 90+8=98
Current State: 19:[11, 68, 98], Operations: ['90+8=98']
Exploring Operation: 11+68=79, Resulting Numbers: [98, 79]
Generated Node #3: [98, 79] from Operation: 11+68=79
Current State: 19:[98, 79], Operations: ['90+8=98', '11+68=79']
Exploring Operation: 98-79=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
65,
19,
1,
76
] | 60 | [
"65-1=64",
"76/19=4",
"64-4=60"
] | Current State: 60:[65, 19, 1, 76], Operations: []
Exploring Operation: 65-1=64, Resulting Numbers: [19, 76, 64]
Generated Node #2: [19, 76, 64] from Operation: 65-1=64
Current State: 60:[19, 76, 64], Operations: ['65-1=64']
Exploring Operation: 76/19=4, Resulting Numbers: [64, 4]
Generated Node #3: [64, 4] from Operation: 76/19=4
Current State: 60:[64, 4], Operations: ['65-1=64', '76/19=4']
Exploring Operation: 64-4=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
59,
86,
2,
4
] | 58 | [
"86-59=27",
"2*27=54",
"4+54=58"
] | Current State: 58:[59, 86, 2, 4], Operations: []
Exploring Operation: 86-59=27, Resulting Numbers: [2, 4, 27]
Generated Node #2: [2, 4, 27] from Operation: 86-59=27
Current State: 58:[2, 4, 27], Operations: ['86-59=27']
Exploring Operation: 2*27=54, Resulting Numbers: [4, 54]
Generated Node #3: [4, 54] from Operation: 2*27=54
Current State: 58:[4, 54], Operations: ['86-59=27', '2*27=54']
Exploring Operation: 4+54=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
2,
11,
95,
85
] | 97 | [
"11+85=96",
"2*96=192",
"192-95=97"
] | Current State: 97:[2, 11, 95, 85], Operations: []
Exploring Operation: 11+85=96, Resulting Numbers: [2, 95, 96]
Generated Node #2: [2, 95, 96] from Operation: 11+85=96
Current State: 97:[2, 95, 96], Operations: ['11+85=96']
Exploring Operation: 2*96=192, Resulting Numbers: [95, 192]
Generated Node #3: [95, 192] from Operation: 2*96=192
Current State: 97:[95, 192], Operations: ['11+85=96', '2*96=192']
Exploring Operation: 192-95=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
35,
71,
9,
64
] | 82 | [
"35+64=99",
"99/9=11",
"71+11=82"
] | Current State: 82:[35, 71, 9, 64], Operations: []
Exploring Operation: 35+64=99, Resulting Numbers: [71, 9, 99]
Generated Node #2: [71, 9, 99] from Operation: 35+64=99
Current State: 82:[71, 9, 99], Operations: ['35+64=99']
Exploring Operation: 99/9=11, Resulting Numbers: [71, 11]
Generated Node #3: [71, 11] from Operation: 99/9=11
Current State: 82:[71, 11], Operations: ['35+64=99', '99/9=11']
Exploring Operation: 71+11=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
12,
76,
80,
10
] | 13 | [
"80-76=4",
"12/4=3",
"10+3=13"
] | Current State: 13:[12, 76, 80, 10], Operations: []
Exploring Operation: 80-76=4, Resulting Numbers: [12, 10, 4]
Generated Node #2: [12, 10, 4] from Operation: 80-76=4
Current State: 13:[12, 10, 4], Operations: ['80-76=4']
Exploring Operation: 12/4=3, Resulting Numbers: [10, 3]
Generated Node #3: [10, 3] from Operation: 12/4=3
Current State: 13:[10, 3], Operations: ['80-76=4', '12/4=3']
Exploring Operation: 10+3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
27,
55,
17,
64
] | 80 | [
"27+17=44",
"55*64=3520",
"3520/44=80"
] | Current State: 80:[27, 55, 17, 64], Operations: []
Exploring Operation: 27+17=44, Resulting Numbers: [55, 64, 44]
Generated Node #2: [55, 64, 44] from Operation: 27+17=44
Current State: 80:[55, 64, 44], Operations: ['27+17=44']
Exploring Operation: 55*64=3520, Resulting Numbers: [44, 3520]
Generated Node #3: [44, 3520] from Operation: 55*64=3520
Current State: 80:[44, 3520], Operations: ['27+17=44', '55*64=3520']
Exploring Operation: 3520/44=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
90,
31,
84,
40
] | 86 | [
"84+40=124",
"124/31=4",
"90-4=86"
] | Current State: 86:[90, 31, 84, 40], Operations: []
Exploring Operation: 84+40=124, Resulting Numbers: [90, 31, 124]
Generated Node #2: [90, 31, 124] from Operation: 84+40=124
Current State: 86:[90, 31, 124], Operations: ['84+40=124']
Exploring Operation: 124/31=4, Resulting Numbers: [90, 4]
Generated Node #3: [90, 4] from Operation: 124/31=4
Current State: 86:[90, 4], Operations: ['84+40=124', '124/31=4']
Exploring Operation: 90-4=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
65,
98,
80,
28
] | 85 | [
"98-65=33",
"80-28=52",
"33+52=85"
] | Current State: 85:[65, 98, 80, 28], Operations: []
Exploring Operation: 98-65=33, Resulting Numbers: [80, 28, 33]
Generated Node #2: [80, 28, 33] from Operation: 98-65=33
Current State: 85:[80, 28, 33], Operations: ['98-65=33']
Exploring Operation: 80-28=52, Resulting Numbers: [33, 52]
Generated Node #3: [33, 52] from Operation: 80-28=52
Current State: 85:[33, 52], Operations: ['98-65=33', '80-28=52']
Exploring Operation: 33+52=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
18,
54,
90,
52
] | 39 | [
"90-18=72",
"54*52=2808",
"2808/72=39"
] | Current State: 39:[18, 54, 90, 52], Operations: []
Exploring Operation: 90-18=72, Resulting Numbers: [54, 52, 72]
Generated Node #2: [54, 52, 72] from Operation: 90-18=72
Current State: 39:[54, 52, 72], Operations: ['90-18=72']
Exploring Operation: 54*52=2808, Resulting Numbers: [72, 2808]
Generated Node #3: [72, 2808] from Operation: 54*52=2808
Current State: 39:[72, 2808], Operations: ['90-18=72', '54*52=2808']
Exploring Operation: 2808/72=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
77,
29,
24,
18
] | 31 | [
"29-18=11",
"77/11=7",
"24+7=31"
] | Current State: 31:[77, 29, 24, 18], Operations: []
Exploring Operation: 29-18=11, Resulting Numbers: [77, 24, 11]
Generated Node #2: [77, 24, 11] from Operation: 29-18=11
Current State: 31:[77, 24, 11], Operations: ['29-18=11']
Exploring Operation: 77/11=7, Resulting Numbers: [24, 7]
Generated Node #3: [24, 7] from Operation: 77/11=7
Current State: 31:[24, 7], Operations: ['29-18=11', '77/11=7']
Exploring Operation: 24+7=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
78,
41,
60,
58
] | 39 | [
"78-41=37",
"60-58=2",
"37+2=39"
] | Current State: 39:[78, 41, 60, 58], Operations: []
Exploring Operation: 78-41=37, Resulting Numbers: [60, 58, 37]
Generated Node #2: [60, 58, 37] from Operation: 78-41=37
Current State: 39:[60, 58, 37], Operations: ['78-41=37']
Exploring Operation: 60-58=2, Resulting Numbers: [37, 2]
Generated Node #3: [37, 2] from Operation: 60-58=2
Current State: 39:[37, 2], Operations: ['78-41=37', '60-58=2']
Exploring Operation: 37+2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
41,
31,
6,
83
] | 71 | [
"41+31=72",
"72/6=12",
"83-12=71"
] | Current State: 71:[41, 31, 6, 83], Operations: []
Exploring Operation: 41+31=72, Resulting Numbers: [6, 83, 72]
Generated Node #2: [6, 83, 72] from Operation: 41+31=72
Current State: 71:[6, 83, 72], Operations: ['41+31=72']
Exploring Operation: 72/6=12, Resulting Numbers: [83, 12]
Generated Node #3: [83, 12] from Operation: 72/6=12
Current State: 71:[83, 12], Operations: ['41+31=72', '72/6=12']
Exploring Operation: 83-12=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
37,
82,
90,
37
] | 66 | [
"37+82=119",
"90-37=53",
"119-53=66"
] | Current State: 66:[37, 82, 90, 37], Operations: []
Exploring Operation: 37+82=119, Resulting Numbers: [90, 119]
Generated Node #2: [90, 119] from Operation: 37+82=119
Current State: 66:[90, 119], Operations: ['37+82=119']
Exploring Operation: 90-37=53, Resulting Numbers: [119, 53]
Generated Node #3: [119, 53] from Operation: 90-37=53
Current State: 66:[119, 53], Operations: ['37+82=119', '90-37=53']
Exploring Operation: 119-53=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
95,
73,
81,
79
] | 51 | [
"81-79=2",
"73*2=146",
"146-95=51"
] | Current State: 51:[95, 73, 81, 79], Operations: []
Exploring Operation: 81-79=2, Resulting Numbers: [95, 73, 2]
Generated Node #2: [95, 73, 2] from Operation: 81-79=2
Current State: 51:[95, 73, 2], Operations: ['81-79=2']
Exploring Operation: 73*2=146, Resulting Numbers: [95, 146]
Generated Node #3: [95, 146] from Operation: 73*2=146
Current State: 51:[95, 146], Operations: ['81-79=2', '73*2=146']
Exploring Operation: 146-95=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
51,
34,
8,
61
] | 68 | [
"51+8=59",
"61-59=2",
"34*2=68"
] | Current State: 68:[51, 34, 8, 61], Operations: []
Exploring Operation: 51+8=59, Resulting Numbers: [34, 61, 59]
Generated Node #2: [34, 61, 59] from Operation: 51+8=59
Current State: 68:[34, 61, 59], Operations: ['51+8=59']
Exploring Operation: 61-59=2, Resulting Numbers: [34, 2]
Generated Node #3: [34, 2] from Operation: 61-59=2
Current State: 68:[34, 2], Operations: ['51+8=59', '61-59=2']
Exploring Operation: 34*2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
39,
13,
98,
17
] | 27 | [
"39/13=3",
"98-17=81",
"81/3=27"
] | Current State: 27:[39, 13, 98, 17], Operations: []
Exploring Operation: 39/13=3, Resulting Numbers: [98, 17, 3]
Generated Node #2: [98, 17, 3] from Operation: 39/13=3
Current State: 27:[98, 17, 3], Operations: ['39/13=3']
Exploring Operation: 98-17=81, Resulting Numbers: [3, 81]
Generated Node #3: [3, 81] from Operation: 98-17=81
Current State: 27:[3, 81], Operations: ['39/13=3', '98-17=81']
Exploring Operation: 81/3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
32,
20,
39,
41
] | 28 | [
"32+20=52",
"39+41=80",
"80-52=28"
] | Current State: 28:[32, 20, 39, 41], Operations: []
Exploring Operation: 32+20=52, Resulting Numbers: [39, 41, 52]
Generated Node #2: [39, 41, 52] from Operation: 32+20=52
Current State: 28:[39, 41, 52], Operations: ['32+20=52']
Exploring Operation: 39+41=80, Resulting Numbers: [52, 80]
Generated Node #3: [52, 80] from Operation: 39+41=80
Current State: 28:[52, 80], Operations: ['32+20=52', '39+41=80']
Exploring Operation: 80-52=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
59,
7,
69,
80
] | 63 | [
"59-7=52",
"80-69=11",
"52+11=63"
] | Current State: 63:[59, 7, 69, 80], Operations: []
Exploring Operation: 59-7=52, Resulting Numbers: [69, 80, 52]
Generated Node #2: [69, 80, 52] from Operation: 59-7=52
Current State: 63:[69, 80, 52], Operations: ['59-7=52']
Exploring Operation: 80-69=11, Resulting Numbers: [52, 11]
Generated Node #3: [52, 11] from Operation: 80-69=11
Current State: 63:[52, 11], Operations: ['59-7=52', '80-69=11']
Exploring Operation: 52+11=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
72,
7,
28,
63
] | 75 | [
"28-7=21",
"63/21=3",
"72+3=75"
] | Current State: 75:[72, 7, 28, 63], Operations: []
Exploring Operation: 28-7=21, Resulting Numbers: [72, 63, 21]
Generated Node #2: [72, 63, 21] from Operation: 28-7=21
Current State: 75:[72, 63, 21], Operations: ['28-7=21']
Exploring Operation: 63/21=3, Resulting Numbers: [72, 3]
Generated Node #3: [72, 3] from Operation: 63/21=3
Current State: 75:[72, 3], Operations: ['28-7=21', '63/21=3']
Exploring Operation: 72+3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
15,
46,
7,
11
] | 74 | [
"15-11=4",
"7*4=28",
"46+28=74"
] | Current State: 74:[15, 46, 7, 11], Operations: []
Exploring Operation: 15-11=4, Resulting Numbers: [46, 7, 4]
Generated Node #2: [46, 7, 4] from Operation: 15-11=4
Current State: 74:[46, 7, 4], Operations: ['15-11=4']
Exploring Operation: 7*4=28, Resulting Numbers: [46, 28]
Generated Node #3: [46, 28] from Operation: 7*4=28
Current State: 74:[46, 28], Operations: ['15-11=4', '7*4=28']
Exploring Operation: 46+28=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
68,
84,
73,
61
] | 75 | [
"73-61=12",
"84/12=7",
"68+7=75"
] | Current State: 75:[68, 84, 73, 61], Operations: []
Exploring Operation: 73-61=12, Resulting Numbers: [68, 84, 12]
Generated Node #2: [68, 84, 12] from Operation: 73-61=12
Current State: 75:[68, 84, 12], Operations: ['73-61=12']
Exploring Operation: 84/12=7, Resulting Numbers: [68, 7]
Generated Node #3: [68, 7] from Operation: 84/12=7
Current State: 75:[68, 7], Operations: ['73-61=12', '84/12=7']
Exploring Operation: 68+7=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
83,
83,
33,
96
] | 96 | [
"83-83=0",
"33*0=0",
"96+0=96"
] | Current State: 96:[83, 83, 33, 96], Operations: []
Exploring Operation: 83-83=0, Resulting Numbers: [33, 96, 0]
Generated Node #2: [33, 96, 0] from Operation: 83-83=0
Current State: 96:[33, 96, 0], Operations: ['83-83=0']
Exploring Operation: 33*0=0, Resulting Numbers: [96, 0]
Generated Node #3: [96, 0] from Operation: 33*0=0
Current State: 96:[96, 0], Operations: ['83-83=0', '33*0=0']
Exploring Operation: 96+0=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
52,
39,
70,
11
] | 32 | [
"52+39=91",
"70-11=59",
"91-59=32"
] | Current State: 32:[52, 39, 70, 11], Operations: []
Exploring Operation: 52+39=91, Resulting Numbers: [70, 11, 91]
Generated Node #2: [70, 11, 91] from Operation: 52+39=91
Current State: 32:[70, 11, 91], Operations: ['52+39=91']
Exploring Operation: 70-11=59, Resulting Numbers: [91, 59]
Generated Node #3: [91, 59] from Operation: 70-11=59
Current State: 32:[91, 59], Operations: ['52+39=91', '70-11=59']
Exploring Operation: 91-59=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
51,
86,
84,
46
] | 56 | [
"86-84=2",
"51*2=102",
"102-46=56"
] | Current State: 56:[51, 86, 84, 46], Operations: []
Exploring Operation: 86-84=2, Resulting Numbers: [51, 46, 2]
Generated Node #2: [51, 46, 2] from Operation: 86-84=2
Current State: 56:[51, 46, 2], Operations: ['86-84=2']
Exploring Operation: 51*2=102, Resulting Numbers: [46, 102]
Generated Node #3: [46, 102] from Operation: 51*2=102
Current State: 56:[46, 102], Operations: ['86-84=2', '51*2=102']
Exploring Operation: 102-46=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
40,
13,
81,
25
] | 22 | [
"40-13=27",
"81/27=3",
"25-3=22"
] | Current State: 22:[40, 13, 81, 25], Operations: []
Exploring Operation: 40-13=27, Resulting Numbers: [81, 25, 27]
Generated Node #2: [81, 25, 27] from Operation: 40-13=27
Current State: 22:[81, 25, 27], Operations: ['40-13=27']
Exploring Operation: 81/27=3, Resulting Numbers: [25, 3]
Generated Node #3: [25, 3] from Operation: 81/27=3
Current State: 22:[25, 3], Operations: ['40-13=27', '81/27=3']
Exploring Operation: 25-3=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
82,
86,
27,
92
] | 61 | [
"86-82=4",
"92-27=65",
"65-4=61"
] | Current State: 61:[82, 86, 27, 92], Operations: []
Exploring Operation: 86-82=4, Resulting Numbers: [27, 92, 4]
Generated Node #2: [27, 92, 4] from Operation: 86-82=4
Current State: 61:[27, 92, 4], Operations: ['86-82=4']
Exploring Operation: 92-27=65, Resulting Numbers: [4, 65]
Generated Node #3: [4, 65] from Operation: 92-27=65
Current State: 61:[4, 65], Operations: ['86-82=4', '92-27=65']
Exploring Operation: 65-4=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
9,
77,
16,
57
] | 80 | [
"57-9=48",
"48/16=3",
"77+3=80"
] | Current State: 80:[9, 77, 16, 57], Operations: []
Exploring Operation: 57-9=48, Resulting Numbers: [77, 16, 48]
Generated Node #2: [77, 16, 48] from Operation: 57-9=48
Current State: 80:[77, 16, 48], Operations: ['57-9=48']
Exploring Operation: 48/16=3, Resulting Numbers: [77, 3]
Generated Node #3: [77, 3] from Operation: 48/16=3
Current State: 80:[77, 3], Operations: ['57-9=48', '48/16=3']
Exploring Operation: 77+3=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
42,
96,
13,
76
] | 10 | [
"96-42=54",
"76+54=130",
"130/13=10"
] | Current State: 10:[42, 96, 13, 76], Operations: []
Exploring Operation: 96-42=54, Resulting Numbers: [13, 76, 54]
Generated Node #2: [13, 76, 54] from Operation: 96-42=54
Current State: 10:[13, 76, 54], Operations: ['96-42=54']
Exploring Operation: 76+54=130, Resulting Numbers: [13, 130]
Generated Node #3: [13, 130] from Operation: 76+54=130
Current State: 10:[13, 130], Operations: ['96-42=54', '76+54=130']
Exploring Operation: 130/13=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
72,
51,
21,
48
] | 48 | [
"72-51=21",
"21+48=69",
"69-21=48"
] | Current State: 48:[72, 51, 21, 48], Operations: []
Exploring Operation: 72-51=21, Resulting Numbers: [21, 48, 21]
Generated Node #2: [21, 48, 21] from Operation: 72-51=21
Current State: 48:[21, 48, 21], Operations: ['72-51=21']
Exploring Operation: 21+48=69, Resulting Numbers: [69]
69,48 equal: Goal Reached
Exploring Operation: 69-21=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
26,
74,
50,
38
] | 12 | [
"26+74=100",
"50+38=88",
"100-88=12"
] | Current State: 12:[26, 74, 50, 38], Operations: []
Exploring Operation: 26+74=100, Resulting Numbers: [50, 38, 100]
Generated Node #2: [50, 38, 100] from Operation: 26+74=100
Current State: 12:[50, 38, 100], Operations: ['26+74=100']
Exploring Operation: 50+38=88, Resulting Numbers: [100, 88]
Generated Node #3: [100, 88] from Operation: 50+38=88
Current State: 12:[100, 88], Operations: ['26+74=100', '50+38=88']
Exploring Operation: 100-88=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
59,
83,
25,
23
] | 71 | [
"59+83=142",
"25-23=2",
"142/2=71"
] | Current State: 71:[59, 83, 25, 23], Operations: []
Exploring Operation: 59+83=142, Resulting Numbers: [25, 23, 142]
Generated Node #2: [25, 23, 142] from Operation: 59+83=142
Current State: 71:[25, 23, 142], Operations: ['59+83=142']
Exploring Operation: 25-23=2, Resulting Numbers: [142, 2]
Generated Node #3: [142, 2] from Operation: 25-23=2
Current State: 71:[142, 2], Operations: ['59+83=142', '25-23=2']
Exploring Operation: 142/2=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
16,
63,
9,
62
] | 71 | [
"16-9=7",
"63/7=9",
"62+9=71"
] | Current State: 71:[16, 63, 9, 62], Operations: []
Exploring Operation: 16-9=7, Resulting Numbers: [63, 62, 7]
Generated Node #2: [63, 62, 7] from Operation: 16-9=7
Current State: 71:[63, 62, 7], Operations: ['16-9=7']
Exploring Operation: 63/7=9, Resulting Numbers: [62, 9]
Generated Node #3: [62, 9] from Operation: 63/7=9
Current State: 71:[62, 9], Operations: ['16-9=7', '63/7=9']
Exploring Operation: 62+9=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
24,
73,
61,
4
] | 16 | [
"73-24=49",
"61+4=65",
"65-49=16"
] | Current State: 16:[24, 73, 61, 4], Operations: []
Exploring Operation: 73-24=49, Resulting Numbers: [61, 4, 49]
Generated Node #2: [61, 4, 49] from Operation: 73-24=49
Current State: 16:[61, 4, 49], Operations: ['73-24=49']
Exploring Operation: 61+4=65, Resulting Numbers: [49, 65]
Generated Node #3: [49, 65] from Operation: 61+4=65
Current State: 16:[49, 65], Operations: ['73-24=49', '61+4=65']
Exploring Operation: 65-49=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
94,
2,
84,
1
] | 21 | [
"94-84=10",
"2*10=20",
"1+20=21"
] | Current State: 21:[94, 2, 84, 1], Operations: []
Exploring Operation: 94-84=10, Resulting Numbers: [2, 1, 10]
Generated Node #2: [2, 1, 10] from Operation: 94-84=10
Current State: 21:[2, 1, 10], Operations: ['94-84=10']
Exploring Operation: 2*10=20, Resulting Numbers: [1, 20]
Generated Node #3: [1, 20] from Operation: 2*10=20
Current State: 21:[1, 20], Operations: ['94-84=10', '2*10=20']
Exploring Operation: 1+20=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
14,
78,
38,
2
] | 70 | [
"78-14=64",
"64/2=32",
"38+32=70"
] | Current State: 70:[14, 78, 38, 2], Operations: []
Exploring Operation: 78-14=64, Resulting Numbers: [38, 2, 64]
Generated Node #2: [38, 2, 64] from Operation: 78-14=64
Current State: 70:[38, 2, 64], Operations: ['78-14=64']
Exploring Operation: 64/2=32, Resulting Numbers: [38, 32]
Generated Node #3: [38, 32] from Operation: 64/2=32
Current State: 70:[38, 32], Operations: ['78-14=64', '64/2=32']
Exploring Operation: 38+32=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
57,
7,
85,
50
] | 71 | [
"57+7=64",
"85+50=135",
"135-64=71"
] | Current State: 71:[57, 7, 85, 50], Operations: []
Exploring Operation: 57+7=64, Resulting Numbers: [85, 50, 64]
Generated Node #2: [85, 50, 64] from Operation: 57+7=64
Current State: 71:[85, 50, 64], Operations: ['57+7=64']
Exploring Operation: 85+50=135, Resulting Numbers: [64, 135]
Generated Node #3: [64, 135] from Operation: 85+50=135
Current State: 71:[64, 135], Operations: ['57+7=64', '85+50=135']
Exploring Operation: 135-64=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
43,
13,
2,
24
] | 39 | [
"43-13=30",
"30/2=15",
"24+15=39"
] | Current State: 39:[43, 13, 2, 24], Operations: []
Exploring Operation: 43-13=30, Resulting Numbers: [2, 24, 30]
Generated Node #2: [2, 24, 30] from Operation: 43-13=30
Current State: 39:[2, 24, 30], Operations: ['43-13=30']
Exploring Operation: 30/2=15, Resulting Numbers: [24, 15]
Generated Node #3: [24, 15] from Operation: 30/2=15
Current State: 39:[24, 15], Operations: ['43-13=30', '30/2=15']
Exploring Operation: 24+15=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
18,
88,
33,
94
] | 90 | [
"33-18=15",
"94-88=6",
"15*6=90"
] | Current State: 90:[18, 88, 33, 94], Operations: []
Exploring Operation: 33-18=15, Resulting Numbers: [88, 94, 15]
Generated Node #2: [88, 94, 15] from Operation: 33-18=15
Current State: 90:[88, 94, 15], Operations: ['33-18=15']
Exploring Operation: 94-88=6, Resulting Numbers: [15, 6]
Generated Node #3: [15, 6] from Operation: 94-88=6
Current State: 90:[15, 6], Operations: ['33-18=15', '94-88=6']
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
65,
15,
51,
51
] | 79 | [
"65+15=80",
"51/51=1",
"80-1=79"
] | Current State: 79:[65, 15, 51, 51], Operations: []
Exploring Operation: 65+15=80, Resulting Numbers: [51, 51, 80]
Generated Node #2: [51, 51, 80] from Operation: 65+15=80
Current State: 79:[51, 51, 80], Operations: ['65+15=80']
Exploring Operation: 51/51=1, Resulting Numbers: [80, 1]
Generated Node #3: [80, 1] from Operation: 51/51=1
Current State: 79:[80, 1], Operations: ['65+15=80', '51/51=1']
Exploring Operation: 80-1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
37,
65,
46,
93
] | 23 | [
"37+93=130",
"65*46=2990",
"2990/130=23"
] | Current State: 23:[37, 65, 46, 93], Operations: []
Exploring Operation: 37+93=130, Resulting Numbers: [65, 46, 130]
Generated Node #2: [65, 46, 130] from Operation: 37+93=130
Current State: 23:[65, 46, 130], Operations: ['37+93=130']
Exploring Operation: 65*46=2990, Resulting Numbers: [130, 2990]
Generated Node #3: [130, 2990] from Operation: 65*46=2990
Current State: 23:[130, 2990], Operations: ['37+93=130', '65*46=2990']
Exploring Operation: 2990/130=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
49,
37,
26,
14
] | 28 | [
"49-37=12",
"26+14=40",
"40-12=28"
] | Current State: 28:[49, 37, 26, 14], Operations: []
Exploring Operation: 49-37=12, Resulting Numbers: [26, 14, 12]
Generated Node #2: [26, 14, 12] from Operation: 49-37=12
Current State: 28:[26, 14, 12], Operations: ['49-37=12']
Exploring Operation: 26+14=40, Resulting Numbers: [12, 40]
Generated Node #3: [12, 40] from Operation: 26+14=40
Current State: 28:[12, 40], Operations: ['49-37=12', '26+14=40']
Exploring Operation: 40-12=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
53,
17,
91,
2
] | 53 | [
"53-17=36",
"91-2=89",
"89-36=53"
] | Current State: 53:[53, 17, 91, 2], Operations: []
Exploring Operation: 53-17=36, Resulting Numbers: [91, 2, 36]
Generated Node #2: [91, 2, 36] from Operation: 53-17=36
Current State: 53:[91, 2, 36], Operations: ['53-17=36']
Exploring Operation: 91-2=89, Resulting Numbers: [36, 89]
Generated Node #3: [36, 89] from Operation: 91-2=89
Current State: 53:[36, 89], Operations: ['53-17=36', '91-2=89']
Exploring Operation: 89-36=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
76,
5,
28,
27
] | 84 | [
"76+5=81",
"28*81=2268",
"2268/27=84"
] | Current State: 84:[76, 5, 28, 27], Operations: []
Exploring Operation: 76+5=81, Resulting Numbers: [28, 27, 81]
Generated Node #2: [28, 27, 81] from Operation: 76+5=81
Current State: 84:[28, 27, 81], Operations: ['76+5=81']
Exploring Operation: 28*81=2268, Resulting Numbers: [27, 2268]
Generated Node #3: [27, 2268] from Operation: 28*81=2268
Current State: 84:[27, 2268], Operations: ['76+5=81', '28*81=2268']
Exploring Operation: 2268/27=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
64,
28,
60,
60
] | 35 | [
"64-28=36",
"60/60=1",
"36-1=35"
] | Current State: 35:[64, 28, 60, 60], Operations: []
Exploring Operation: 64-28=36, Resulting Numbers: [60, 60, 36]
Generated Node #2: [60, 60, 36] from Operation: 64-28=36
Current State: 35:[60, 60, 36], Operations: ['64-28=36']
Exploring Operation: 60/60=1, Resulting Numbers: [36, 1]
Generated Node #3: [36, 1] from Operation: 60/60=1
Current State: 35:[36, 1], Operations: ['64-28=36', '60/60=1']
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
22,
62,
94,
46
] | 56 | [
"22+62=84",
"94+46=140",
"140-84=56"
] | Current State: 56:[22, 62, 94, 46], Operations: []
Exploring Operation: 22+62=84, Resulting Numbers: [94, 46, 84]
Generated Node #2: [94, 46, 84] from Operation: 22+62=84
Current State: 56:[94, 46, 84], Operations: ['22+62=84']
Exploring Operation: 94+46=140, Resulting Numbers: [84, 140]
Generated Node #3: [84, 140] from Operation: 94+46=140
Current State: 56:[84, 140], Operations: ['22+62=84', '94+46=140']
Exploring Operation: 140-84=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
50,
50,
60,
22
] | 22 | [
"50-50=0",
"60*0=0",
"22+0=22"
] | Current State: 22:[50, 50, 60, 22], Operations: []
Exploring Operation: 50-50=0, Resulting Numbers: [60, 22, 0]
Generated Node #2: [60, 22, 0] from Operation: 50-50=0
Current State: 22:[60, 22, 0], Operations: ['50-50=0']
Exploring Operation: 60*0=0, Resulting Numbers: [22, 0]
Generated Node #3: [22, 0] from Operation: 60*0=0
Current State: 22:[22, 0], Operations: ['50-50=0', '60*0=0']
Exploring Operation: 22+0=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
36,
47,
32,
3
] | 67 | [
"36/3=12",
"47+32=79",
"79-12=67"
] | Current State: 67:[36, 47, 32, 3], Operations: []
Exploring Operation: 36/3=12, Resulting Numbers: [47, 32, 12]
Generated Node #2: [47, 32, 12] from Operation: 36/3=12
Current State: 67:[47, 32, 12], Operations: ['36/3=12']
Exploring Operation: 47+32=79, Resulting Numbers: [12, 79]
Generated Node #3: [12, 79] from Operation: 47+32=79
Current State: 67:[12, 79], Operations: ['36/3=12', '47+32=79']
Exploring Operation: 79-12=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
54,
51,
56,
41
] | 75 | [
"54*56=3024",
"51+3024=3075",
"3075/41=75"
] | Current State: 75:[54, 51, 56, 41], Operations: []
Exploring Operation: 54*56=3024, Resulting Numbers: [51, 41, 3024]
Generated Node #2: [51, 41, 3024] from Operation: 54*56=3024
Current State: 75:[51, 41, 3024], Operations: ['54*56=3024']
Exploring Operation: 51+3024=3075, Resulting Numbers: [41, 3075]
Generated Node #3: [41, 3075] from Operation: 51+3024=3075
Current State: 75:[41, 3075], Operations: ['54*56=3024', '51+3024=3075']
Exploring Operation: 3075/41=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
68,
21,
22,
10
] | 78 | [
"68+10=78",
"22-21=1",
"78*1=78"
] | Current State: 78:[68, 21, 22, 10], Operations: []
Exploring Operation: 68+10=78, Resulting Numbers: [21, 22, 78]
Generated Node #2: [21, 22, 78] from Operation: 68+10=78
Current State: 78:[21, 22, 78], Operations: ['68+10=78']
Exploring Operation: 22-21=1, Resulting Numbers: [78, 1]
Generated Node #3: [78, 1] from Operation: 22-21=1
Current State: 78:[78, 1], Operations: ['68+10=78', '22-21=1']
Exploring Operation: 78*1=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
60,
62,
12,
43
] | 49 | [
"62-60=2",
"12/2=6",
"43+6=49"
] | Current State: 49:[60, 62, 12, 43], Operations: []
Exploring Operation: 62-60=2, Resulting Numbers: [12, 43, 2]
Generated Node #2: [12, 43, 2] from Operation: 62-60=2
Current State: 49:[12, 43, 2], Operations: ['62-60=2']
Exploring Operation: 12/2=6, Resulting Numbers: [43, 6]
Generated Node #3: [43, 6] from Operation: 12/2=6
Current State: 49:[43, 6], Operations: ['62-60=2', '12/2=6']
Exploring Operation: 43+6=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
77,
88,
80,
44
] | 30 | [
"77-44=33",
"80*33=2640",
"2640/88=30"
] | Current State: 30:[77, 88, 80, 44], Operations: []
Exploring Operation: 77-44=33, Resulting Numbers: [88, 80, 33]
Generated Node #2: [88, 80, 33] from Operation: 77-44=33
Current State: 30:[88, 80, 33], Operations: ['77-44=33']
Exploring Operation: 80*33=2640, Resulting Numbers: [88, 2640]
Generated Node #3: [88, 2640] from Operation: 80*33=2640
Current State: 30:[88, 2640], Operations: ['77-44=33', '80*33=2640']
Exploring Operation: 2640/88=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
65,
31,
99,
23
] | 46 | [
"31+99=130",
"130/65=2",
"23*2=46"
] | Current State: 46:[65, 31, 99, 23], Operations: []
Exploring Operation: 31+99=130, Resulting Numbers: [65, 23, 130]
Generated Node #2: [65, 23, 130] from Operation: 31+99=130
Current State: 46:[65, 23, 130], Operations: ['31+99=130']
Exploring Operation: 130/65=2, Resulting Numbers: [23, 2]
Generated Node #3: [23, 2] from Operation: 130/65=2
Current State: 46:[23, 2], Operations: ['31+99=130', '130/65=2']
Exploring Operation: 23*2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
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