nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
15,
46,
25,
96
] | 60 | [
"15+46=61",
"25+96=121",
"121-61=60"
] | Current State: 60:[15, 46, 25, 96], Operations: []
Exploring Operation: 15+46=61, Resulting Numbers: [25, 96, 61]
Generated Node #2: [25, 96, 61] from Operation: 15+46=61
Current State: 60:[25, 96, 61], Operations: ['15+46=61']
Exploring Operation: 25+96=121, Resulting Numbers: [61, 121]
Generated Node #3: [61, 121] from Operation: 25+96=121
Current State: 60:[61, 121], Operations: ['15+46=61', '25+96=121']
Exploring Operation: 121-61=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
86,
11,
66,
44
] | 36 | [
"86-44=42",
"66/11=6",
"42-6=36"
] | Current State: 36:[86, 11, 66, 44], Operations: []
Exploring Operation: 86-44=42, Resulting Numbers: [11, 66, 42]
Generated Node #2: [11, 66, 42] from Operation: 86-44=42
Current State: 36:[11, 66, 42], Operations: ['86-44=42']
Exploring Operation: 66/11=6, Resulting Numbers: [42, 6]
Generated Node #3: [42, 6] from Operation: 66/11=6
Current State: 36:[42, 6], Operations: ['86-44=42', '66/11=6']
Exploring Operation: 42-6=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
31,
6,
20,
14
] | 18 | [
"31-20=11",
"14-11=3",
"6*3=18"
] | Current State: 18:[31, 6, 20, 14], Operations: []
Exploring Operation: 31-20=11, Resulting Numbers: [6, 14, 11]
Generated Node #2: [6, 14, 11] from Operation: 31-20=11
Current State: 18:[6, 14, 11], Operations: ['31-20=11']
Exploring Operation: 14-11=3, Resulting Numbers: [6, 3]
Generated Node #3: [6, 3] from Operation: 14-11=3
Current State: 18:[6, 3], Operations: ['31-20=11', '14-11=3']
Exploring Operation: 6*3=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
18,
87,
14,
67
] | 28 | [
"87-18=69",
"69-67=2",
"14*2=28"
] | Current State: 28:[18, 87, 14, 67], Operations: []
Exploring Operation: 87-18=69, Resulting Numbers: [14, 67, 69]
Generated Node #2: [14, 67, 69] from Operation: 87-18=69
Current State: 28:[14, 67, 69], Operations: ['87-18=69']
Exploring Operation: 69-67=2, Resulting Numbers: [14, 2]
Generated Node #3: [14, 2] from Operation: 69-67=2
Current State: 28:[14, 2], Operations: ['87-18=69', '69-67=2']
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
39,
13,
8,
9
] | 11 | [
"39/13=3",
"9/3=3",
"8+3=11"
] | Current State: 11:[39, 13, 8, 9], Operations: []
Exploring Operation: 39/13=3, Resulting Numbers: [8, 9, 3]
Generated Node #2: [8, 9, 3] from Operation: 39/13=3
Current State: 11:[8, 9, 3], Operations: ['39/13=3']
Exploring Operation: 9/3=3, Resulting Numbers: [8, 3]
Generated Node #3: [8, 3] from Operation: 9/3=3
Current State: 11:[8, 3], Operations: ['39/13=3', '9/3=3']
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
50,
42,
16,
75
] | 73 | [
"50-42=8",
"16/8=2",
"75-2=73"
] | Current State: 73:[50, 42, 16, 75], Operations: []
Exploring Operation: 50-42=8, Resulting Numbers: [16, 75, 8]
Generated Node #2: [16, 75, 8] from Operation: 50-42=8
Current State: 73:[16, 75, 8], Operations: ['50-42=8']
Exploring Operation: 16/8=2, Resulting Numbers: [75, 2]
Generated Node #3: [75, 2] from Operation: 16/8=2
Current State: 73:[75, 2], Operations: ['50-42=8', '16/8=2']
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
6,
70,
55,
41
] | 90 | [
"6+70=76",
"55-41=14",
"76+14=90"
] | Current State: 90:[6, 70, 55, 41], Operations: []
Exploring Operation: 6+70=76, Resulting Numbers: [55, 41, 76]
Generated Node #2: [55, 41, 76] from Operation: 6+70=76
Current State: 90:[55, 41, 76], Operations: ['6+70=76']
Exploring Operation: 55-41=14, Resulting Numbers: [76, 14]
Generated Node #3: [76, 14] from Operation: 55-41=14
Current State: 90:[76, 14], Operations: ['6+70=76', '55-41=14']
Exploring Operation: 76+14=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
75,
12,
12,
96
] | 68 | [
"96-12=84",
"84/12=7",
"75-7=68"
] | Current State: 68:[75, 12, 12, 96], Operations: []
Exploring Operation: 96-12=84, Resulting Numbers: [75, 84]
Generated Node #2: [75, 84] from Operation: 96-12=84
Current State: 68:[75, 84], Operations: ['96-12=84']
Exploring Operation: 84/12=7, Resulting Numbers: [75, 7]
Generated Node #3: [75, 7] from Operation: 84/12=7
Current State: 68:[75, 7], Operations: ['96-12=84', '84/12=7']
Exploring Operation: 75-7=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
22,
28,
90,
3
] | 99 | [
"28-22=6",
"90+3=93",
"6+93=99"
] | Current State: 99:[22, 28, 90, 3], Operations: []
Exploring Operation: 28-22=6, Resulting Numbers: [90, 3, 6]
Generated Node #2: [90, 3, 6] from Operation: 28-22=6
Current State: 99:[90, 3, 6], Operations: ['28-22=6']
Exploring Operation: 90+3=93, Resulting Numbers: [6, 93]
Generated Node #3: [6, 93] from Operation: 90+3=93
Current State: 99:[6, 93], Operations: ['28-22=6', '90+3=93']
Exploring Operation: 6+93=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
78,
95,
36,
97
] | 84 | [
"78-36=42",
"97-95=2",
"42*2=84"
] | Current State: 84:[78, 95, 36, 97], Operations: []
Exploring Operation: 78-36=42, Resulting Numbers: [95, 97, 42]
Generated Node #2: [95, 97, 42] from Operation: 78-36=42
Current State: 84:[95, 97, 42], Operations: ['78-36=42']
Exploring Operation: 97-95=2, Resulting Numbers: [42, 2]
Generated Node #3: [42, 2] from Operation: 97-95=2
Current State: 84:[42, 2], Operations: ['78-36=42', '97-95=2']
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
95,
97,
33,
37
] | 93 | [
"95+37=132",
"132/33=4",
"97-4=93"
] | Current State: 93:[95, 97, 33, 37], Operations: []
Exploring Operation: 95+37=132, Resulting Numbers: [97, 33, 132]
Generated Node #2: [97, 33, 132] from Operation: 95+37=132
Current State: 93:[97, 33, 132], Operations: ['95+37=132']
Exploring Operation: 132/33=4, Resulting Numbers: [97, 4]
Generated Node #3: [97, 4] from Operation: 132/33=4
Current State: 93:[97, 4], Operations: ['95+37=132', '132/33=4']
Exploring Operation: 97-4=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
27,
21,
52,
17
] | 68 | [
"27+21=48",
"52-48=4",
"17*4=68"
] | Current State: 68:[27, 21, 52, 17], Operations: []
Exploring Operation: 27+21=48, Resulting Numbers: [52, 17, 48]
Generated Node #2: [52, 17, 48] from Operation: 27+21=48
Current State: 68:[52, 17, 48], Operations: ['27+21=48']
Exploring Operation: 52-48=4, Resulting Numbers: [17, 4]
Generated Node #3: [17, 4] from Operation: 52-48=4
Current State: 68:[17, 4], Operations: ['27+21=48', '52-48=4']
Exploring Operation: 17*4=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
1,
12,
99,
3
] | 27 | [
"12-1=11",
"99*3=297",
"297/11=27"
] | Current State: 27:[1, 12, 99, 3], Operations: []
Exploring Operation: 12-1=11, Resulting Numbers: [99, 3, 11]
Generated Node #2: [99, 3, 11] from Operation: 12-1=11
Current State: 27:[99, 3, 11], Operations: ['12-1=11']
Exploring Operation: 99*3=297, Resulting Numbers: [11, 297]
Generated Node #3: [11, 297] from Operation: 99*3=297
Current State: 27:[11, 297], Operations: ['12-1=11', '99*3=297']
Exploring Operation: 297/11=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
64,
17,
95,
14
] | 62 | [
"64-17=47",
"95+14=109",
"109-47=62"
] | Current State: 62:[64, 17, 95, 14], Operations: []
Exploring Operation: 64-17=47, Resulting Numbers: [95, 14, 47]
Generated Node #2: [95, 14, 47] from Operation: 64-17=47
Current State: 62:[95, 14, 47], Operations: ['64-17=47']
Exploring Operation: 95+14=109, Resulting Numbers: [47, 109]
Generated Node #3: [47, 109] from Operation: 95+14=109
Current State: 62:[47, 109], Operations: ['64-17=47', '95+14=109']
Exploring Operation: 109-47=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
68,
90,
35,
10
] | 34 | [
"35+10=45",
"68*45=3060",
"3060/90=34"
] | Current State: 34:[68, 90, 35, 10], Operations: []
Exploring Operation: 35+10=45, Resulting Numbers: [68, 90, 45]
Generated Node #2: [68, 90, 45] from Operation: 35+10=45
Current State: 34:[68, 90, 45], Operations: ['35+10=45']
Exploring Operation: 68*45=3060, Resulting Numbers: [90, 3060]
Generated Node #3: [90, 3060] from Operation: 68*45=3060
Current State: 34:[90, 3060], Operations: ['35+10=45', '68*45=3060']
Exploring Operation: 3060/90=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
88,
64,
6,
48
] | 18 | [
"88-64=24",
"48-6=42",
"42-24=18"
] | Current State: 18:[88, 64, 6, 48], Operations: []
Exploring Operation: 88-64=24, Resulting Numbers: [6, 48, 24]
Generated Node #2: [6, 48, 24] from Operation: 88-64=24
Current State: 18:[6, 48, 24], Operations: ['88-64=24']
Exploring Operation: 48-6=42, Resulting Numbers: [24, 42]
Generated Node #3: [24, 42] from Operation: 48-6=42
Current State: 18:[24, 42], Operations: ['88-64=24', '48-6=42']
Exploring Operation: 42-24=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
10,
89,
51,
50
] | 78 | [
"89-10=79",
"51-50=1",
"79-1=78"
] | Current State: 78:[10, 89, 51, 50], Operations: []
Exploring Operation: 89-10=79, Resulting Numbers: [51, 50, 79]
Generated Node #2: [51, 50, 79] from Operation: 89-10=79
Current State: 78:[51, 50, 79], Operations: ['89-10=79']
Exploring Operation: 51-50=1, Resulting Numbers: [79, 1]
Generated Node #3: [79, 1] from Operation: 51-50=1
Current State: 78:[79, 1], Operations: ['89-10=79', '51-50=1']
Exploring Operation: 79-1=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
7,
88,
61,
38
] | 18 | [
"88-7=81",
"61+38=99",
"99-81=18"
] | Current State: 18:[7, 88, 61, 38], Operations: []
Exploring Operation: 88-7=81, Resulting Numbers: [61, 38, 81]
Generated Node #2: [61, 38, 81] from Operation: 88-7=81
Current State: 18:[61, 38, 81], Operations: ['88-7=81']
Exploring Operation: 61+38=99, Resulting Numbers: [81, 99]
Generated Node #3: [81, 99] from Operation: 61+38=99
Current State: 18:[81, 99], Operations: ['88-7=81', '61+38=99']
Exploring Operation: 99-81=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
81,
2,
62,
13
] | 74 | [
"81-13=68",
"2*68=136",
"136-62=74"
] | Current State: 74:[81, 2, 62, 13], Operations: []
Exploring Operation: 81-13=68, Resulting Numbers: [2, 62, 68]
Generated Node #2: [2, 62, 68] from Operation: 81-13=68
Current State: 74:[2, 62, 68], Operations: ['81-13=68']
Exploring Operation: 2*68=136, Resulting Numbers: [62, 136]
Generated Node #3: [62, 136] from Operation: 2*68=136
Current State: 74:[62, 136], Operations: ['81-13=68', '2*68=136']
Exploring Operation: 136-62=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
87,
92,
19,
22
] | 46 | [
"92-87=5",
"19+22=41",
"5+41=46"
] | Current State: 46:[87, 92, 19, 22], Operations: []
Exploring Operation: 92-87=5, Resulting Numbers: [19, 22, 5]
Generated Node #2: [19, 22, 5] from Operation: 92-87=5
Current State: 46:[19, 22, 5], Operations: ['92-87=5']
Exploring Operation: 19+22=41, Resulting Numbers: [5, 41]
Generated Node #3: [5, 41] from Operation: 19+22=41
Current State: 46:[5, 41], Operations: ['92-87=5', '19+22=41']
Exploring Operation: 5+41=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
38,
92,
56,
3
] | 26 | [
"92-56=36",
"36/3=12",
"38-12=26"
] | Current State: 26:[38, 92, 56, 3], Operations: []
Exploring Operation: 92-56=36, Resulting Numbers: [38, 3, 36]
Generated Node #2: [38, 3, 36] from Operation: 92-56=36
Current State: 26:[38, 3, 36], Operations: ['92-56=36']
Exploring Operation: 36/3=12, Resulting Numbers: [38, 12]
Generated Node #3: [38, 12] from Operation: 36/3=12
Current State: 26:[38, 12], Operations: ['92-56=36', '36/3=12']
Exploring Operation: 38-12=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
95,
11,
9,
33
] | 64 | [
"95+11=106",
"9+33=42",
"106-42=64"
] | Current State: 64:[95, 11, 9, 33], Operations: []
Exploring Operation: 95+11=106, Resulting Numbers: [9, 33, 106]
Generated Node #2: [9, 33, 106] from Operation: 95+11=106
Current State: 64:[9, 33, 106], Operations: ['95+11=106']
Exploring Operation: 9+33=42, Resulting Numbers: [106, 42]
Generated Node #3: [106, 42] from Operation: 9+33=42
Current State: 64:[106, 42], Operations: ['95+11=106', '9+33=42']
Exploring Operation: 106-42=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
46,
16,
56,
26
] | 100 | [
"56-46=10",
"26-16=10",
"10*10=100"
] | Current State: 100:[46, 16, 56, 26], Operations: []
Exploring Operation: 56-46=10, Resulting Numbers: [16, 26, 10]
Generated Node #2: [16, 26, 10] from Operation: 56-46=10
Current State: 100:[16, 26, 10], Operations: ['56-46=10']
Exploring Operation: 26-16=10, Resulting Numbers: [10, 10]
Generated Node #3: [10, 10] from Operation: 26-16=10
Current State: 100:[10, 10], Operations: ['56-46=10', '26-16=10']
Exploring Operation: 10*10=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
50,
52,
82,
44
] | 78 | [
"50*82=4100",
"4100-44=4056",
"4056/52=78"
] | Current State: 78:[50, 52, 82, 44], Operations: []
Exploring Operation: 50*82=4100, Resulting Numbers: [52, 44, 4100]
Generated Node #2: [52, 44, 4100] from Operation: 50*82=4100
Current State: 78:[52, 44, 4100], Operations: ['50*82=4100']
Exploring Operation: 4100-44=4056, Resulting Numbers: [52, 4056]
Generated Node #3: [52, 4056] from Operation: 4100-44=4056
Current State: 78:[52, 4056], Operations: ['50*82=4100', '4100-44=4056']
Exploring Operation: 4056/52=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
41,
66,
4,
25
] | 33 | [
"41+66=107",
"25+107=132",
"132/4=33"
] | Current State: 33:[41, 66, 4, 25], Operations: []
Exploring Operation: 41+66=107, Resulting Numbers: [4, 25, 107]
Generated Node #2: [4, 25, 107] from Operation: 41+66=107
Current State: 33:[4, 25, 107], Operations: ['41+66=107']
Exploring Operation: 25+107=132, Resulting Numbers: [4, 132]
Generated Node #3: [4, 132] from Operation: 25+107=132
Current State: 33:[4, 132], Operations: ['41+66=107', '25+107=132']
Exploring Operation: 132/4=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
21,
3,
88,
27
] | 91 | [
"21+3=24",
"88+27=115",
"115-24=91"
] | Current State: 91:[21, 3, 88, 27], Operations: []
Exploring Operation: 21+3=24, Resulting Numbers: [88, 27, 24]
Generated Node #2: [88, 27, 24] from Operation: 21+3=24
Current State: 91:[88, 27, 24], Operations: ['21+3=24']
Exploring Operation: 88+27=115, Resulting Numbers: [24, 115]
Generated Node #3: [24, 115] from Operation: 88+27=115
Current State: 91:[24, 115], Operations: ['21+3=24', '88+27=115']
Exploring Operation: 115-24=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
35,
6,
52,
97
] | 30 | [
"35+97=132",
"132/6=22",
"52-22=30"
] | Current State: 30:[35, 6, 52, 97], Operations: []
Exploring Operation: 35+97=132, Resulting Numbers: [6, 52, 132]
Generated Node #2: [6, 52, 132] from Operation: 35+97=132
Current State: 30:[6, 52, 132], Operations: ['35+97=132']
Exploring Operation: 132/6=22, Resulting Numbers: [52, 22]
Generated Node #3: [52, 22] from Operation: 132/6=22
Current State: 30:[52, 22], Operations: ['35+97=132', '132/6=22']
Exploring Operation: 52-22=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
82,
19,
12,
22
] | 67 | [
"82+19=101",
"12+22=34",
"101-34=67"
] | Current State: 67:[82, 19, 12, 22], Operations: []
Exploring Operation: 82+19=101, Resulting Numbers: [12, 22, 101]
Generated Node #2: [12, 22, 101] from Operation: 82+19=101
Current State: 67:[12, 22, 101], Operations: ['82+19=101']
Exploring Operation: 12+22=34, Resulting Numbers: [101, 34]
Generated Node #3: [101, 34] from Operation: 12+22=34
Current State: 67:[101, 34], Operations: ['82+19=101', '12+22=34']
Exploring Operation: 101-34=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
82,
83,
70,
32
] | 37 | [
"83-82=1",
"70-32=38",
"38-1=37"
] | Current State: 37:[82, 83, 70, 32], Operations: []
Exploring Operation: 83-82=1, Resulting Numbers: [70, 32, 1]
Generated Node #2: [70, 32, 1] from Operation: 83-82=1
Current State: 37:[70, 32, 1], Operations: ['83-82=1']
Exploring Operation: 70-32=38, Resulting Numbers: [1, 38]
Generated Node #3: [1, 38] from Operation: 70-32=38
Current State: 37:[1, 38], Operations: ['83-82=1', '70-32=38']
Exploring Operation: 38-1=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
66,
52,
33,
53
] | 34 | [
"66-52=14",
"53-33=20",
"14+20=34"
] | Current State: 34:[66, 52, 33, 53], Operations: []
Exploring Operation: 66-52=14, Resulting Numbers: [33, 53, 14]
Generated Node #2: [33, 53, 14] from Operation: 66-52=14
Current State: 34:[33, 53, 14], Operations: ['66-52=14']
Exploring Operation: 53-33=20, Resulting Numbers: [14, 20]
Generated Node #3: [14, 20] from Operation: 53-33=20
Current State: 34:[14, 20], Operations: ['66-52=14', '53-33=20']
Exploring Operation: 14+20=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
24,
75,
10,
91
] | 30 | [
"75-24=51",
"91-10=81",
"81-51=30"
] | Current State: 30:[24, 75, 10, 91], Operations: []
Exploring Operation: 75-24=51, Resulting Numbers: [10, 91, 51]
Generated Node #2: [10, 91, 51] from Operation: 75-24=51
Current State: 30:[10, 91, 51], Operations: ['75-24=51']
Exploring Operation: 91-10=81, Resulting Numbers: [51, 81]
Generated Node #3: [51, 81] from Operation: 91-10=81
Current State: 30:[51, 81], Operations: ['75-24=51', '91-10=81']
Exploring Operation: 81-51=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
6,
94,
70,
52
] | 82 | [
"6+94=100",
"70-52=18",
"100-18=82"
] | Current State: 82:[6, 94, 70, 52], Operations: []
Exploring Operation: 6+94=100, Resulting Numbers: [70, 52, 100]
Generated Node #2: [70, 52, 100] from Operation: 6+94=100
Current State: 82:[70, 52, 100], Operations: ['6+94=100']
Exploring Operation: 70-52=18, Resulting Numbers: [100, 18]
Generated Node #3: [100, 18] from Operation: 70-52=18
Current State: 82:[100, 18], Operations: ['6+94=100', '70-52=18']
Exploring Operation: 100-18=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
17,
75,
5,
22
] | 74 | [
"17+5=22",
"22/22=1",
"75-1=74"
] | Current State: 74:[17, 75, 5, 22], Operations: []
Exploring Operation: 17+5=22, Resulting Numbers: [75, 22, 22]
Generated Node #2: [75, 22, 22] from Operation: 17+5=22
Current State: 74:[75, 22, 22], Operations: ['17+5=22']
Exploring Operation: 22/22=1, Resulting Numbers: [75, 1]
Generated Node #3: [75, 1] from Operation: 22/22=1
Current State: 74:[75, 1], Operations: ['17+5=22', '22/22=1']
Exploring Operation: 75-1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
70,
4,
12,
37
] | 81 | [
"70-37=33",
"4*12=48",
"33+48=81"
] | Current State: 81:[70, 4, 12, 37], Operations: []
Exploring Operation: 70-37=33, Resulting Numbers: [4, 12, 33]
Generated Node #2: [4, 12, 33] from Operation: 70-37=33
Current State: 81:[4, 12, 33], Operations: ['70-37=33']
Exploring Operation: 4*12=48, Resulting Numbers: [33, 48]
Generated Node #3: [33, 48] from Operation: 4*12=48
Current State: 81:[33, 48], Operations: ['70-37=33', '4*12=48']
Exploring Operation: 33+48=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
37,
74,
77,
39
] | 80 | [
"39-37=2",
"77*2=154",
"154-74=80"
] | Current State: 80:[37, 74, 77, 39], Operations: []
Exploring Operation: 39-37=2, Resulting Numbers: [74, 77, 2]
Generated Node #2: [74, 77, 2] from Operation: 39-37=2
Current State: 80:[74, 77, 2], Operations: ['39-37=2']
Exploring Operation: 77*2=154, Resulting Numbers: [74, 154]
Generated Node #3: [74, 154] from Operation: 77*2=154
Current State: 80:[74, 154], Operations: ['39-37=2', '77*2=154']
Exploring Operation: 154-74=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
68,
90,
71,
6
] | 10 | [
"71-68=3",
"6+3=9",
"90/9=10"
] | Current State: 10:[68, 90, 71, 6], Operations: []
Exploring Operation: 71-68=3, Resulting Numbers: [90, 6, 3]
Generated Node #2: [90, 6, 3] from Operation: 71-68=3
Current State: 10:[90, 6, 3], Operations: ['71-68=3']
Exploring Operation: 6+3=9, Resulting Numbers: [90, 9]
Generated Node #3: [90, 9] from Operation: 6+3=9
Current State: 10:[90, 9], Operations: ['71-68=3', '6+3=9']
Exploring Operation: 90/9=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
21,
34,
26,
3
] | 15 | [
"21/3=7",
"34-26=8",
"7+8=15"
] | Current State: 15:[21, 34, 26, 3], Operations: []
Exploring Operation: 21/3=7, Resulting Numbers: [34, 26, 7]
Generated Node #2: [34, 26, 7] from Operation: 21/3=7
Current State: 15:[34, 26, 7], Operations: ['21/3=7']
Exploring Operation: 34-26=8, Resulting Numbers: [7, 8]
Generated Node #3: [7, 8] from Operation: 34-26=8
Current State: 15:[7, 8], Operations: ['21/3=7', '34-26=8']
Exploring Operation: 7+8=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
3,
35,
48,
69
] | 74 | [
"48+69=117",
"117/3=39",
"35+39=74"
] | Current State: 74:[3, 35, 48, 69], Operations: []
Exploring Operation: 48+69=117, Resulting Numbers: [3, 35, 117]
Generated Node #2: [3, 35, 117] from Operation: 48+69=117
Current State: 74:[3, 35, 117], Operations: ['48+69=117']
Exploring Operation: 117/3=39, Resulting Numbers: [35, 39]
Generated Node #3: [35, 39] from Operation: 117/3=39
Current State: 74:[35, 39], Operations: ['48+69=117', '117/3=39']
Exploring Operation: 35+39=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
56,
2,
38,
53
] | 82 | [
"56+38=94",
"94-53=41",
"2*41=82"
] | Current State: 82:[56, 2, 38, 53], Operations: []
Exploring Operation: 56+38=94, Resulting Numbers: [2, 53, 94]
Generated Node #2: [2, 53, 94] from Operation: 56+38=94
Current State: 82:[2, 53, 94], Operations: ['56+38=94']
Exploring Operation: 94-53=41, Resulting Numbers: [2, 41]
Generated Node #3: [2, 41] from Operation: 94-53=41
Current State: 82:[2, 41], Operations: ['56+38=94', '94-53=41']
Exploring Operation: 2*41=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
59,
70,
12,
74
] | 74 | [
"70-59=11",
"12-11=1",
"74*1=74"
] | Current State: 74:[59, 70, 12, 74], Operations: []
Exploring Operation: 70-59=11, Resulting Numbers: [12, 74, 11]
Generated Node #2: [12, 74, 11] from Operation: 70-59=11
Current State: 74:[12, 74, 11], Operations: ['70-59=11']
Exploring Operation: 12-11=1, Resulting Numbers: [74, 1]
Generated Node #3: [74, 1] from Operation: 12-11=1
Current State: 74:[74, 1], Operations: ['70-59=11', '12-11=1']
Exploring Operation: 74*1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
96,
3,
36,
44
] | 32 | [
"96+44=140",
"3*36=108",
"140-108=32"
] | Current State: 32:[96, 3, 36, 44], Operations: []
Exploring Operation: 96+44=140, Resulting Numbers: [3, 36, 140]
Generated Node #2: [3, 36, 140] from Operation: 96+44=140
Current State: 32:[3, 36, 140], Operations: ['96+44=140']
Exploring Operation: 3*36=108, Resulting Numbers: [140, 108]
Generated Node #3: [140, 108] from Operation: 3*36=108
Current State: 32:[140, 108], Operations: ['96+44=140', '3*36=108']
Exploring Operation: 140-108=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
88,
16,
30,
7
] | 49 | [
"88-16=72",
"30-7=23",
"72-23=49"
] | Current State: 49:[88, 16, 30, 7], Operations: []
Exploring Operation: 88-16=72, Resulting Numbers: [30, 7, 72]
Generated Node #2: [30, 7, 72] from Operation: 88-16=72
Current State: 49:[30, 7, 72], Operations: ['88-16=72']
Exploring Operation: 30-7=23, Resulting Numbers: [72, 23]
Generated Node #3: [72, 23] from Operation: 30-7=23
Current State: 49:[72, 23], Operations: ['88-16=72', '30-7=23']
Exploring Operation: 72-23=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
6,
16,
12,
30
] | 82 | [
"16*30=480",
"12+480=492",
"492/6=82"
] | Current State: 82:[6, 16, 12, 30], Operations: []
Exploring Operation: 16*30=480, Resulting Numbers: [6, 12, 480]
Generated Node #2: [6, 12, 480] from Operation: 16*30=480
Current State: 82:[6, 12, 480], Operations: ['16*30=480']
Exploring Operation: 12+480=492, Resulting Numbers: [6, 492]
Generated Node #3: [6, 492] from Operation: 12+480=492
Current State: 82:[6, 492], Operations: ['16*30=480', '12+480=492']
Exploring Operation: 492/6=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
9,
69,
85,
86
] | 93 | [
"9+69=78",
"85+86=171",
"171-78=93"
] | Current State: 93:[9, 69, 85, 86], Operations: []
Exploring Operation: 9+69=78, Resulting Numbers: [85, 86, 78]
Generated Node #2: [85, 86, 78] from Operation: 9+69=78
Current State: 93:[85, 86, 78], Operations: ['9+69=78']
Exploring Operation: 85+86=171, Resulting Numbers: [78, 171]
Generated Node #3: [78, 171] from Operation: 85+86=171
Current State: 93:[78, 171], Operations: ['9+69=78', '85+86=171']
Exploring Operation: 171-78=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
32,
17,
37,
78
] | 56 | [
"32-17=15",
"78-37=41",
"15+41=56"
] | Current State: 56:[32, 17, 37, 78], Operations: []
Exploring Operation: 32-17=15, Resulting Numbers: [37, 78, 15]
Generated Node #2: [37, 78, 15] from Operation: 32-17=15
Current State: 56:[37, 78, 15], Operations: ['32-17=15']
Exploring Operation: 78-37=41, Resulting Numbers: [15, 41]
Generated Node #3: [15, 41] from Operation: 78-37=41
Current State: 56:[15, 41], Operations: ['32-17=15', '78-37=41']
Exploring Operation: 15+41=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
87,
6,
49,
28
] | 39 | [
"49-28=21",
"6*21=126",
"126-87=39"
] | Current State: 39:[87, 6, 49, 28], Operations: []
Exploring Operation: 49-28=21, Resulting Numbers: [87, 6, 21]
Generated Node #2: [87, 6, 21] from Operation: 49-28=21
Current State: 39:[87, 6, 21], Operations: ['49-28=21']
Exploring Operation: 6*21=126, Resulting Numbers: [87, 126]
Generated Node #3: [87, 126] from Operation: 6*21=126
Current State: 39:[87, 126], Operations: ['49-28=21', '6*21=126']
Exploring Operation: 126-87=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
20,
4,
56,
10
] | 34 | [
"20*4=80",
"56-10=46",
"80-46=34"
] | Current State: 34:[20, 4, 56, 10], Operations: []
Exploring Operation: 20*4=80, Resulting Numbers: [56, 10, 80]
Generated Node #2: [56, 10, 80] from Operation: 20*4=80
Current State: 34:[56, 10, 80], Operations: ['20*4=80']
Exploring Operation: 56-10=46, Resulting Numbers: [80, 46]
Generated Node #3: [80, 46] from Operation: 56-10=46
Current State: 34:[80, 46], Operations: ['20*4=80', '56-10=46']
Exploring Operation: 80-46=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
10,
75,
5,
25
] | 73 | [
"10*5=50",
"50/25=2",
"75-2=73"
] | Current State: 73:[10, 75, 5, 25], Operations: []
Exploring Operation: 10*5=50, Resulting Numbers: [75, 25, 50]
Generated Node #2: [75, 25, 50] from Operation: 10*5=50
Current State: 73:[75, 25, 50], Operations: ['10*5=50']
Exploring Operation: 50/25=2, Resulting Numbers: [75, 2]
Generated Node #3: [75, 2] from Operation: 50/25=2
Current State: 73:[75, 2], Operations: ['10*5=50', '50/25=2']
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
61,
49,
39,
84
] | 32 | [
"61-49=12",
"84/12=7",
"39-7=32"
] | Current State: 32:[61, 49, 39, 84], Operations: []
Exploring Operation: 61-49=12, Resulting Numbers: [39, 84, 12]
Generated Node #2: [39, 84, 12] from Operation: 61-49=12
Current State: 32:[39, 84, 12], Operations: ['61-49=12']
Exploring Operation: 84/12=7, Resulting Numbers: [39, 7]
Generated Node #3: [39, 7] from Operation: 84/12=7
Current State: 32:[39, 7], Operations: ['61-49=12', '84/12=7']
Exploring Operation: 39-7=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
71,
58,
77,
90
] | 43 | [
"77-71=6",
"90/6=15",
"58-15=43"
] | Current State: 43:[71, 58, 77, 90], Operations: []
Exploring Operation: 77-71=6, Resulting Numbers: [58, 90, 6]
Generated Node #2: [58, 90, 6] from Operation: 77-71=6
Current State: 43:[58, 90, 6], Operations: ['77-71=6']
Exploring Operation: 90/6=15, Resulting Numbers: [58, 15]
Generated Node #3: [58, 15] from Operation: 90/6=15
Current State: 43:[58, 15], Operations: ['77-71=6', '90/6=15']
Exploring Operation: 58-15=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
67,
7,
80,
56
] | 50 | [
"67+7=74",
"80-56=24",
"74-24=50"
] | Current State: 50:[67, 7, 80, 56], Operations: []
Exploring Operation: 67+7=74, Resulting Numbers: [80, 56, 74]
Generated Node #2: [80, 56, 74] from Operation: 67+7=74
Current State: 50:[80, 56, 74], Operations: ['67+7=74']
Exploring Operation: 80-56=24, Resulting Numbers: [74, 24]
Generated Node #3: [74, 24] from Operation: 80-56=24
Current State: 50:[74, 24], Operations: ['67+7=74', '80-56=24']
Exploring Operation: 74-24=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
70,
3,
26,
78
] | 76 | [
"70+3=73",
"78/26=3",
"73+3=76"
] | Current State: 76:[70, 3, 26, 78], Operations: []
Exploring Operation: 70+3=73, Resulting Numbers: [26, 78, 73]
Generated Node #2: [26, 78, 73] from Operation: 70+3=73
Current State: 76:[26, 78, 73], Operations: ['70+3=73']
Exploring Operation: 78/26=3, Resulting Numbers: [73, 3]
Generated Node #3: [73, 3] from Operation: 78/26=3
Current State: 76:[73, 3], Operations: ['70+3=73', '78/26=3']
Exploring Operation: 73+3=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
60,
6,
2,
86
] | 81 | [
"60/6=10",
"10/2=5",
"86-5=81"
] | Current State: 81:[60, 6, 2, 86], Operations: []
Exploring Operation: 60/6=10, Resulting Numbers: [2, 86, 10]
Generated Node #2: [2, 86, 10] from Operation: 60/6=10
Current State: 81:[2, 86, 10], Operations: ['60/6=10']
Exploring Operation: 10/2=5, Resulting Numbers: [86, 5]
Generated Node #3: [86, 5] from Operation: 10/2=5
Current State: 81:[86, 5], Operations: ['60/6=10', '10/2=5']
Exploring Operation: 86-5=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
87,
48,
32,
89
] | 78 | [
"87+48=135",
"89-32=57",
"135-57=78"
] | Current State: 78:[87, 48, 32, 89], Operations: []
Exploring Operation: 87+48=135, Resulting Numbers: [32, 89, 135]
Generated Node #2: [32, 89, 135] from Operation: 87+48=135
Current State: 78:[32, 89, 135], Operations: ['87+48=135']
Exploring Operation: 89-32=57, Resulting Numbers: [135, 57]
Generated Node #3: [135, 57] from Operation: 89-32=57
Current State: 78:[135, 57], Operations: ['87+48=135', '89-32=57']
Exploring Operation: 135-57=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
60,
19,
75,
64
] | 36 | [
"64-19=45",
"60*45=2700",
"2700/75=36"
] | Current State: 36:[60, 19, 75, 64], Operations: []
Exploring Operation: 64-19=45, Resulting Numbers: [60, 75, 45]
Generated Node #2: [60, 75, 45] from Operation: 64-19=45
Current State: 36:[60, 75, 45], Operations: ['64-19=45']
Exploring Operation: 60*45=2700, Resulting Numbers: [75, 2700]
Generated Node #3: [75, 2700] from Operation: 60*45=2700
Current State: 36:[75, 2700], Operations: ['64-19=45', '60*45=2700']
Exploring Operation: 2700/75=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
62,
20,
44,
2
] | 63 | [
"62+20=82",
"44+82=126",
"126/2=63"
] | Current State: 63:[62, 20, 44, 2], Operations: []
Exploring Operation: 62+20=82, Resulting Numbers: [44, 2, 82]
Generated Node #2: [44, 2, 82] from Operation: 62+20=82
Current State: 63:[44, 2, 82], Operations: ['62+20=82']
Exploring Operation: 44+82=126, Resulting Numbers: [2, 126]
Generated Node #3: [2, 126] from Operation: 44+82=126
Current State: 63:[2, 126], Operations: ['62+20=82', '44+82=126']
Exploring Operation: 126/2=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
12,
34,
1,
49
] | 27 | [
"34-12=22",
"1*49=49",
"49-22=27"
] | Current State: 27:[12, 34, 1, 49], Operations: []
Exploring Operation: 34-12=22, Resulting Numbers: [1, 49, 22]
Generated Node #2: [1, 49, 22] from Operation: 34-12=22
Current State: 27:[1, 49, 22], Operations: ['34-12=22']
Exploring Operation: 1*49=49, Resulting Numbers: [22, 49]
Generated Node #3: [22, 49] from Operation: 1*49=49
Current State: 27:[22, 49], Operations: ['34-12=22', '1*49=49']
Exploring Operation: 49-22=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
91,
26,
30,
14
] | 35 | [
"30-26=4",
"14*4=56",
"91-56=35"
] | Current State: 35:[91, 26, 30, 14], Operations: []
Exploring Operation: 30-26=4, Resulting Numbers: [91, 14, 4]
Generated Node #2: [91, 14, 4] from Operation: 30-26=4
Current State: 35:[91, 14, 4], Operations: ['30-26=4']
Exploring Operation: 14*4=56, Resulting Numbers: [91, 56]
Generated Node #3: [91, 56] from Operation: 14*4=56
Current State: 35:[91, 56], Operations: ['30-26=4', '14*4=56']
Exploring Operation: 91-56=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
65,
44,
98,
45
] | 78 | [
"98-44=54",
"65*54=3510",
"3510/45=78"
] | Current State: 78:[65, 44, 98, 45], Operations: []
Exploring Operation: 98-44=54, Resulting Numbers: [65, 45, 54]
Generated Node #2: [65, 45, 54] from Operation: 98-44=54
Current State: 78:[65, 45, 54], Operations: ['98-44=54']
Exploring Operation: 65*54=3510, Resulting Numbers: [45, 3510]
Generated Node #3: [45, 3510] from Operation: 65*54=3510
Current State: 78:[45, 3510], Operations: ['98-44=54', '65*54=3510']
Exploring Operation: 3510/45=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
50,
24,
6,
92
] | 46 | [
"92-50=42",
"24/6=4",
"42+4=46"
] | Current State: 46:[50, 24, 6, 92], Operations: []
Exploring Operation: 92-50=42, Resulting Numbers: [24, 6, 42]
Generated Node #2: [24, 6, 42] from Operation: 92-50=42
Current State: 46:[24, 6, 42], Operations: ['92-50=42']
Exploring Operation: 24/6=4, Resulting Numbers: [42, 4]
Generated Node #3: [42, 4] from Operation: 24/6=4
Current State: 46:[42, 4], Operations: ['92-50=42', '24/6=4']
Exploring Operation: 42+4=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
22,
60,
34,
32
] | 80 | [
"22+60=82",
"34-32=2",
"82-2=80"
] | Current State: 80:[22, 60, 34, 32], Operations: []
Exploring Operation: 22+60=82, Resulting Numbers: [34, 32, 82]
Generated Node #2: [34, 32, 82] from Operation: 22+60=82
Current State: 80:[34, 32, 82], Operations: ['22+60=82']
Exploring Operation: 34-32=2, Resulting Numbers: [82, 2]
Generated Node #3: [82, 2] from Operation: 34-32=2
Current State: 80:[82, 2], Operations: ['22+60=82', '34-32=2']
Exploring Operation: 82-2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
56,
73,
2,
3
] | 31 | [
"73-56=17",
"2*17=34",
"34-3=31"
] | Current State: 31:[56, 73, 2, 3], Operations: []
Exploring Operation: 73-56=17, Resulting Numbers: [2, 3, 17]
Generated Node #2: [2, 3, 17] from Operation: 73-56=17
Current State: 31:[2, 3, 17], Operations: ['73-56=17']
Exploring Operation: 2*17=34, Resulting Numbers: [3, 34]
Generated Node #3: [3, 34] from Operation: 2*17=34
Current State: 31:[3, 34], Operations: ['73-56=17', '2*17=34']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
56,
7,
12,
56
] | 76 | [
"56/7=8",
"12+56=68",
"8+68=76"
] | Current State: 76:[56, 7, 12, 56], Operations: []
Exploring Operation: 56/7=8, Resulting Numbers: [12, 8]
Generated Node #2: [12, 8] from Operation: 56/7=8
Current State: 76:[12, 8], Operations: ['56/7=8']
Exploring Operation: 12+56=68, Resulting Numbers: [8, 68]
Generated Node #3: [8, 68] from Operation: 12+56=68
Current State: 76:[8, 68], Operations: ['56/7=8', '12+56=68']
Exploring Operation: 8+68=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
32,
74,
53,
33
] | 31 | [
"32+74=106",
"106/53=2",
"33-2=31"
] | Current State: 31:[32, 74, 53, 33], Operations: []
Exploring Operation: 32+74=106, Resulting Numbers: [53, 33, 106]
Generated Node #2: [53, 33, 106] from Operation: 32+74=106
Current State: 31:[53, 33, 106], Operations: ['32+74=106']
Exploring Operation: 106/53=2, Resulting Numbers: [33, 2]
Generated Node #3: [33, 2] from Operation: 106/53=2
Current State: 31:[33, 2], Operations: ['32+74=106', '106/53=2']
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
26,
68,
33,
37
] | 15 | [
"33-26=7",
"68+37=105",
"105/7=15"
] | Current State: 15:[26, 68, 33, 37], Operations: []
Exploring Operation: 33-26=7, Resulting Numbers: [68, 37, 7]
Generated Node #2: [68, 37, 7] from Operation: 33-26=7
Current State: 15:[68, 37, 7], Operations: ['33-26=7']
Exploring Operation: 68+37=105, Resulting Numbers: [7, 105]
Generated Node #3: [7, 105] from Operation: 68+37=105
Current State: 15:[7, 105], Operations: ['33-26=7', '68+37=105']
Exploring Operation: 105/7=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
21,
57,
76,
11
] | 17 | [
"21*76=1596",
"1596/57=28",
"28-11=17"
] | Current State: 17:[21, 57, 76, 11], Operations: []
Exploring Operation: 21*76=1596, Resulting Numbers: [57, 11, 1596]
Generated Node #2: [57, 11, 1596] from Operation: 21*76=1596
Current State: 17:[57, 11, 1596], Operations: ['21*76=1596']
Exploring Operation: 1596/57=28, Resulting Numbers: [11, 28]
Generated Node #3: [11, 28] from Operation: 1596/57=28
Current State: 17:[11, 28], Operations: ['21*76=1596', '1596/57=28']
Exploring Operation: 28-11=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
26,
67,
64,
68
] | 97 | [
"26+67=93",
"68-64=4",
"93+4=97"
] | Current State: 97:[26, 67, 64, 68], Operations: []
Exploring Operation: 26+67=93, Resulting Numbers: [64, 68, 93]
Generated Node #2: [64, 68, 93] from Operation: 26+67=93
Current State: 97:[64, 68, 93], Operations: ['26+67=93']
Exploring Operation: 68-64=4, Resulting Numbers: [93, 4]
Generated Node #3: [93, 4] from Operation: 68-64=4
Current State: 97:[93, 4], Operations: ['26+67=93', '68-64=4']
Exploring Operation: 93+4=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
78,
50,
91,
15
] | 52 | [
"78+50=128",
"91-15=76",
"128-76=52"
] | Current State: 52:[78, 50, 91, 15], Operations: []
Exploring Operation: 78+50=128, Resulting Numbers: [91, 15, 128]
Generated Node #2: [91, 15, 128] from Operation: 78+50=128
Current State: 52:[91, 15, 128], Operations: ['78+50=128']
Exploring Operation: 91-15=76, Resulting Numbers: [128, 76]
Generated Node #3: [128, 76] from Operation: 91-15=76
Current State: 52:[128, 76], Operations: ['78+50=128', '91-15=76']
Exploring Operation: 128-76=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
4,
92,
4,
8
] | 16 | [
"4+92=96",
"96/4=24",
"24-8=16"
] | Current State: 16:[4, 92, 4, 8], Operations: []
Exploring Operation: 4+92=96, Resulting Numbers: [8, 96]
Generated Node #2: [8, 96] from Operation: 4+92=96
Current State: 16:[8, 96], Operations: ['4+92=96']
Exploring Operation: 96/4=24, Resulting Numbers: [8, 24]
Generated Node #3: [8, 24] from Operation: 96/4=24
Current State: 16:[8, 24], Operations: ['4+92=96', '96/4=24']
Exploring Operation: 24-8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
57,
37,
31,
10
] | 95 | [
"57*10=570",
"37-31=6",
"570/6=95"
] | Current State: 95:[57, 37, 31, 10], Operations: []
Exploring Operation: 57*10=570, Resulting Numbers: [37, 31, 570]
Generated Node #2: [37, 31, 570] from Operation: 57*10=570
Current State: 95:[37, 31, 570], Operations: ['57*10=570']
Exploring Operation: 37-31=6, Resulting Numbers: [570, 6]
Generated Node #3: [570, 6] from Operation: 37-31=6
Current State: 95:[570, 6], Operations: ['57*10=570', '37-31=6']
Exploring Operation: 570/6=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
30,
4,
88,
48
] | 64 | [
"88+48=136",
"136/4=34",
"30+34=64"
] | Current State: 64:[30, 4, 88, 48], Operations: []
Exploring Operation: 88+48=136, Resulting Numbers: [30, 4, 136]
Generated Node #2: [30, 4, 136] from Operation: 88+48=136
Current State: 64:[30, 4, 136], Operations: ['88+48=136']
Exploring Operation: 136/4=34, Resulting Numbers: [30, 34]
Generated Node #3: [30, 34] from Operation: 136/4=34
Current State: 64:[30, 34], Operations: ['88+48=136', '136/4=34']
Exploring Operation: 30+34=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
66,
6,
5,
31
] | 73 | [
"66*6=396",
"396-31=365",
"365/5=73"
] | Current State: 73:[66, 6, 5, 31], Operations: []
Exploring Operation: 66*6=396, Resulting Numbers: [5, 31, 396]
Generated Node #2: [5, 31, 396] from Operation: 66*6=396
Current State: 73:[5, 31, 396], Operations: ['66*6=396']
Exploring Operation: 396-31=365, Resulting Numbers: [5, 365]
Generated Node #3: [5, 365] from Operation: 396-31=365
Current State: 73:[5, 365], Operations: ['66*6=396', '396-31=365']
Exploring Operation: 365/5=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
60,
75,
96,
68
] | 63 | [
"68-60=8",
"96/8=12",
"75-12=63"
] | Current State: 63:[60, 75, 96, 68], Operations: []
Exploring Operation: 68-60=8, Resulting Numbers: [75, 96, 8]
Generated Node #2: [75, 96, 8] from Operation: 68-60=8
Current State: 63:[75, 96, 8], Operations: ['68-60=8']
Exploring Operation: 96/8=12, Resulting Numbers: [75, 12]
Generated Node #3: [75, 12] from Operation: 96/8=12
Current State: 63:[75, 12], Operations: ['68-60=8', '96/8=12']
Exploring Operation: 75-12=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
2,
43,
24,
5
] | 36 | [
"24/2=12",
"43+5=48",
"48-12=36"
] | Current State: 36:[2, 43, 24, 5], Operations: []
Exploring Operation: 24/2=12, Resulting Numbers: [43, 5, 12]
Generated Node #2: [43, 5, 12] from Operation: 24/2=12
Current State: 36:[43, 5, 12], Operations: ['24/2=12']
Exploring Operation: 43+5=48, Resulting Numbers: [12, 48]
Generated Node #3: [12, 48] from Operation: 43+5=48
Current State: 36:[12, 48], Operations: ['24/2=12', '43+5=48']
Exploring Operation: 48-12=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
74,
79,
63,
6
] | 93 | [
"79-74=5",
"6*5=30",
"63+30=93"
] | Current State: 93:[74, 79, 63, 6], Operations: []
Exploring Operation: 79-74=5, Resulting Numbers: [63, 6, 5]
Generated Node #2: [63, 6, 5] from Operation: 79-74=5
Current State: 93:[63, 6, 5], Operations: ['79-74=5']
Exploring Operation: 6*5=30, Resulting Numbers: [63, 30]
Generated Node #3: [63, 30] from Operation: 6*5=30
Current State: 93:[63, 30], Operations: ['79-74=5', '6*5=30']
Exploring Operation: 63+30=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
17,
88,
11,
41
] | 16 | [
"41-17=24",
"88/11=8",
"24-8=16"
] | Current State: 16:[17, 88, 11, 41], Operations: []
Exploring Operation: 41-17=24, Resulting Numbers: [88, 11, 24]
Generated Node #2: [88, 11, 24] from Operation: 41-17=24
Current State: 16:[88, 11, 24], Operations: ['41-17=24']
Exploring Operation: 88/11=8, Resulting Numbers: [24, 8]
Generated Node #3: [24, 8] from Operation: 88/11=8
Current State: 16:[24, 8], Operations: ['41-17=24', '88/11=8']
Exploring Operation: 24-8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
41,
8,
68,
68
] | 87 | [
"41+8=49",
"68+68=136",
"136-49=87"
] | Current State: 87:[41, 8, 68, 68], Operations: []
Exploring Operation: 41+8=49, Resulting Numbers: [68, 68, 49]
Generated Node #2: [68, 68, 49] from Operation: 41+8=49
Current State: 87:[68, 68, 49], Operations: ['41+8=49']
Exploring Operation: 68+68=136, Resulting Numbers: [49, 136]
Generated Node #3: [49, 136] from Operation: 68+68=136
Current State: 87:[49, 136], Operations: ['41+8=49', '68+68=136']
Exploring Operation: 136-49=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
11,
20,
29,
45
] | 34 | [
"20-11=9",
"45/9=5",
"29+5=34"
] | Current State: 34:[11, 20, 29, 45], Operations: []
Exploring Operation: 20-11=9, Resulting Numbers: [29, 45, 9]
Generated Node #2: [29, 45, 9] from Operation: 20-11=9
Current State: 34:[29, 45, 9], Operations: ['20-11=9']
Exploring Operation: 45/9=5, Resulting Numbers: [29, 5]
Generated Node #3: [29, 5] from Operation: 45/9=5
Current State: 34:[29, 5], Operations: ['20-11=9', '45/9=5']
Exploring Operation: 29+5=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
18,
37,
59,
1
] | 41 | [
"37-18=19",
"59+1=60",
"60-19=41"
] | Current State: 41:[18, 37, 59, 1], Operations: []
Exploring Operation: 37-18=19, Resulting Numbers: [59, 1, 19]
Generated Node #2: [59, 1, 19] from Operation: 37-18=19
Current State: 41:[59, 1, 19], Operations: ['37-18=19']
Exploring Operation: 59+1=60, Resulting Numbers: [19, 60]
Generated Node #3: [19, 60] from Operation: 59+1=60
Current State: 41:[19, 60], Operations: ['37-18=19', '59+1=60']
Exploring Operation: 60-19=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
56,
77,
67,
16
] | 99 | [
"67-56=11",
"16*11=176",
"176-77=99"
] | Current State: 99:[56, 77, 67, 16], Operations: []
Exploring Operation: 67-56=11, Resulting Numbers: [77, 16, 11]
Generated Node #2: [77, 16, 11] from Operation: 67-56=11
Current State: 99:[77, 16, 11], Operations: ['67-56=11']
Exploring Operation: 16*11=176, Resulting Numbers: [77, 176]
Generated Node #3: [77, 176] from Operation: 16*11=176
Current State: 99:[77, 176], Operations: ['67-56=11', '16*11=176']
Exploring Operation: 176-77=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
43,
1,
60,
59
] | 42 | [
"43*1=43",
"60-59=1",
"43-1=42"
] | Current State: 42:[43, 1, 60, 59], Operations: []
Exploring Operation: 43*1=43, Resulting Numbers: [60, 59, 43]
Generated Node #2: [60, 59, 43] from Operation: 43*1=43
Current State: 42:[60, 59, 43], Operations: ['43*1=43']
Exploring Operation: 60-59=1, Resulting Numbers: [43, 1]
Generated Node #3: [43, 1] from Operation: 60-59=1
Current State: 42:[43, 1], Operations: ['43*1=43', '60-59=1']
Exploring Operation: 43-1=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
1,
2,
65,
10
] | 87 | [
"1+10=11",
"2*11=22",
"65+22=87"
] | Current State: 87:[1, 2, 65, 10], Operations: []
Exploring Operation: 1+10=11, Resulting Numbers: [2, 65, 11]
Generated Node #2: [2, 65, 11] from Operation: 1+10=11
Current State: 87:[2, 65, 11], Operations: ['1+10=11']
Exploring Operation: 2*11=22, Resulting Numbers: [65, 22]
Generated Node #3: [65, 22] from Operation: 2*11=22
Current State: 87:[65, 22], Operations: ['1+10=11', '2*11=22']
Exploring Operation: 65+22=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
53,
56,
7,
27
] | 74 | [
"56-53=3",
"27*3=81",
"81-7=74"
] | Current State: 74:[53, 56, 7, 27], Operations: []
Exploring Operation: 56-53=3, Resulting Numbers: [7, 27, 3]
Generated Node #2: [7, 27, 3] from Operation: 56-53=3
Current State: 74:[7, 27, 3], Operations: ['56-53=3']
Exploring Operation: 27*3=81, Resulting Numbers: [7, 81]
Generated Node #3: [7, 81] from Operation: 27*3=81
Current State: 74:[7, 81], Operations: ['56-53=3', '27*3=81']
Exploring Operation: 81-7=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
28,
31,
95,
33
] | 12 | [
"33-28=5",
"95/5=19",
"31-19=12"
] | Current State: 12:[28, 31, 95, 33], Operations: []
Exploring Operation: 33-28=5, Resulting Numbers: [31, 95, 5]
Generated Node #2: [31, 95, 5] from Operation: 33-28=5
Current State: 12:[31, 95, 5], Operations: ['33-28=5']
Exploring Operation: 95/5=19, Resulting Numbers: [31, 19]
Generated Node #3: [31, 19] from Operation: 95/5=19
Current State: 12:[31, 19], Operations: ['33-28=5', '95/5=19']
Exploring Operation: 31-19=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
99,
84,
52,
24
] | 96 | [
"52-24=28",
"84/28=3",
"99-3=96"
] | Current State: 96:[99, 84, 52, 24], Operations: []
Exploring Operation: 52-24=28, Resulting Numbers: [99, 84, 28]
Generated Node #2: [99, 84, 28] from Operation: 52-24=28
Current State: 96:[99, 84, 28], Operations: ['52-24=28']
Exploring Operation: 84/28=3, Resulting Numbers: [99, 3]
Generated Node #3: [99, 3] from Operation: 84/28=3
Current State: 96:[99, 3], Operations: ['52-24=28', '84/28=3']
Exploring Operation: 99-3=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
40,
62,
26,
41
] | 28 | [
"40*41=1640",
"62*26=1612",
"1640-1612=28"
] | Current State: 28:[40, 62, 26, 41], Operations: []
Exploring Operation: 40*41=1640, Resulting Numbers: [62, 26, 1640]
Generated Node #2: [62, 26, 1640] from Operation: 40*41=1640
Current State: 28:[62, 26, 1640], Operations: ['40*41=1640']
Exploring Operation: 62*26=1612, Resulting Numbers: [1640, 1612]
Generated Node #3: [1640, 1612] from Operation: 62*26=1612
Current State: 28:[1640, 1612], Operations: ['40*41=1640', '62*26=1612']
Exploring Operation: 1640-1612=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
4,
96,
28,
83
] | 45 | [
"4+96=100",
"83-28=55",
"100-55=45"
] | Current State: 45:[4, 96, 28, 83], Operations: []
Exploring Operation: 4+96=100, Resulting Numbers: [28, 83, 100]
Generated Node #2: [28, 83, 100] from Operation: 4+96=100
Current State: 45:[28, 83, 100], Operations: ['4+96=100']
Exploring Operation: 83-28=55, Resulting Numbers: [100, 55]
Generated Node #3: [100, 55] from Operation: 83-28=55
Current State: 45:[100, 55], Operations: ['4+96=100', '83-28=55']
Exploring Operation: 100-55=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
25,
74,
11,
76
] | 61 | [
"76-74=2",
"25*2=50",
"11+50=61"
] | Current State: 61:[25, 74, 11, 76], Operations: []
Exploring Operation: 76-74=2, Resulting Numbers: [25, 11, 2]
Generated Node #2: [25, 11, 2] from Operation: 76-74=2
Current State: 61:[25, 11, 2], Operations: ['76-74=2']
Exploring Operation: 25*2=50, Resulting Numbers: [11, 50]
Generated Node #3: [11, 50] from Operation: 25*2=50
Current State: 61:[11, 50], Operations: ['76-74=2', '25*2=50']
Exploring Operation: 11+50=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
5,
27,
2,
16
] | 67 | [
"5*16=80",
"80/2=40",
"27+40=67"
] | Current State: 67:[5, 27, 2, 16], Operations: []
Exploring Operation: 5*16=80, Resulting Numbers: [27, 2, 80]
Generated Node #2: [27, 2, 80] from Operation: 5*16=80
Current State: 67:[27, 2, 80], Operations: ['5*16=80']
Exploring Operation: 80/2=40, Resulting Numbers: [27, 40]
Generated Node #3: [27, 40] from Operation: 80/2=40
Current State: 67:[27, 40], Operations: ['5*16=80', '80/2=40']
Exploring Operation: 27+40=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
2,
55,
62,
61
] | 34 | [
"62-55=7",
"61+7=68",
"68/2=34"
] | Current State: 34:[2, 55, 62, 61], Operations: []
Exploring Operation: 62-55=7, Resulting Numbers: [2, 61, 7]
Generated Node #2: [2, 61, 7] from Operation: 62-55=7
Current State: 34:[2, 61, 7], Operations: ['62-55=7']
Exploring Operation: 61+7=68, Resulting Numbers: [2, 68]
Generated Node #3: [2, 68] from Operation: 61+7=68
Current State: 34:[2, 68], Operations: ['62-55=7', '61+7=68']
Exploring Operation: 68/2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
79,
37,
7,
48
] | 83 | [
"79-37=42",
"48-7=41",
"42+41=83"
] | Current State: 83:[79, 37, 7, 48], Operations: []
Exploring Operation: 79-37=42, Resulting Numbers: [7, 48, 42]
Generated Node #2: [7, 48, 42] from Operation: 79-37=42
Current State: 83:[7, 48, 42], Operations: ['79-37=42']
Exploring Operation: 48-7=41, Resulting Numbers: [42, 41]
Generated Node #3: [42, 41] from Operation: 48-7=41
Current State: 83:[42, 41], Operations: ['79-37=42', '48-7=41']
Exploring Operation: 42+41=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
27,
51,
98,
46
] | 28 | [
"51-27=24",
"98-46=52",
"52-24=28"
] | Current State: 28:[27, 51, 98, 46], Operations: []
Exploring Operation: 51-27=24, Resulting Numbers: [98, 46, 24]
Generated Node #2: [98, 46, 24] from Operation: 51-27=24
Current State: 28:[98, 46, 24], Operations: ['51-27=24']
Exploring Operation: 98-46=52, Resulting Numbers: [24, 52]
Generated Node #3: [24, 52] from Operation: 98-46=52
Current State: 28:[24, 52], Operations: ['51-27=24', '98-46=52']
Exploring Operation: 52-24=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
44,
63,
4,
60
] | 16 | [
"63-44=19",
"4*19=76",
"76-60=16"
] | Current State: 16:[44, 63, 4, 60], Operations: []
Exploring Operation: 63-44=19, Resulting Numbers: [4, 60, 19]
Generated Node #2: [4, 60, 19] from Operation: 63-44=19
Current State: 16:[4, 60, 19], Operations: ['63-44=19']
Exploring Operation: 4*19=76, Resulting Numbers: [60, 76]
Generated Node #3: [60, 76] from Operation: 4*19=76
Current State: 16:[60, 76], Operations: ['63-44=19', '4*19=76']
Exploring Operation: 76-60=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
60,
74,
72,
34
] | 96 | [
"60+74=134",
"72-34=38",
"134-38=96"
] | Current State: 96:[60, 74, 72, 34], Operations: []
Exploring Operation: 60+74=134, Resulting Numbers: [72, 34, 134]
Generated Node #2: [72, 34, 134] from Operation: 60+74=134
Current State: 96:[72, 34, 134], Operations: ['60+74=134']
Exploring Operation: 72-34=38, Resulting Numbers: [134, 38]
Generated Node #3: [134, 38] from Operation: 72-34=38
Current State: 96:[134, 38], Operations: ['60+74=134', '72-34=38']
Exploring Operation: 134-38=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
31,
86,
6,
60
] | 51 | [
"31+86=117",
"6+60=66",
"117-66=51"
] | Current State: 51:[31, 86, 6, 60], Operations: []
Exploring Operation: 31+86=117, Resulting Numbers: [6, 60, 117]
Generated Node #2: [6, 60, 117] from Operation: 31+86=117
Current State: 51:[6, 60, 117], Operations: ['31+86=117']
Exploring Operation: 6+60=66, Resulting Numbers: [117, 66]
Generated Node #3: [117, 66] from Operation: 6+60=66
Current State: 51:[117, 66], Operations: ['31+86=117', '6+60=66']
Exploring Operation: 117-66=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
7,
15,
25,
34
] | 81 | [
"7+15=22",
"25+34=59",
"22+59=81"
] | Current State: 81:[7, 15, 25, 34], Operations: []
Exploring Operation: 7+15=22, Resulting Numbers: [25, 34, 22]
Generated Node #2: [25, 34, 22] from Operation: 7+15=22
Current State: 81:[25, 34, 22], Operations: ['7+15=22']
Exploring Operation: 25+34=59, Resulting Numbers: [22, 59]
Generated Node #3: [22, 59] from Operation: 25+34=59
Current State: 81:[22, 59], Operations: ['7+15=22', '25+34=59']
Exploring Operation: 22+59=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
22,
31,
4,
36
] | 90 | [
"22-4=18",
"36-31=5",
"18*5=90"
] | Current State: 90:[22, 31, 4, 36], Operations: []
Exploring Operation: 22-4=18, Resulting Numbers: [31, 36, 18]
Generated Node #2: [31, 36, 18] from Operation: 22-4=18
Current State: 90:[31, 36, 18], Operations: ['22-4=18']
Exploring Operation: 36-31=5, Resulting Numbers: [18, 5]
Generated Node #3: [18, 5] from Operation: 36-31=5
Current State: 90:[18, 5], Operations: ['22-4=18', '36-31=5']
Exploring Operation: 18*5=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
12,
21,
52,
60
] | 84 | [
"12+52=64",
"64-60=4",
"21*4=84"
] | Current State: 84:[12, 21, 52, 60], Operations: []
Exploring Operation: 12+52=64, Resulting Numbers: [21, 60, 64]
Generated Node #2: [21, 60, 64] from Operation: 12+52=64
Current State: 84:[21, 60, 64], Operations: ['12+52=64']
Exploring Operation: 64-60=4, Resulting Numbers: [21, 4]
Generated Node #3: [21, 4] from Operation: 64-60=4
Current State: 84:[21, 4], Operations: ['12+52=64', '64-60=4']
Exploring Operation: 21*4=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
20,
76,
15,
8
] | 65 | [
"76*15=1140",
"1140/20=57",
"8+57=65"
] | Current State: 65:[20, 76, 15, 8], Operations: []
Exploring Operation: 76*15=1140, Resulting Numbers: [20, 8, 1140]
Generated Node #2: [20, 8, 1140] from Operation: 76*15=1140
Current State: 65:[20, 8, 1140], Operations: ['76*15=1140']
Exploring Operation: 1140/20=57, Resulting Numbers: [8, 57]
Generated Node #3: [8, 57] from Operation: 1140/20=57
Current State: 65:[8, 57], Operations: ['76*15=1140', '1140/20=57']
Exploring Operation: 8+57=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
25,
3,
69,
89
] | 91 | [
"25+89=114",
"69/3=23",
"114-23=91"
] | Current State: 91:[25, 3, 69, 89], Operations: []
Exploring Operation: 25+89=114, Resulting Numbers: [3, 69, 114]
Generated Node #2: [3, 69, 114] from Operation: 25+89=114
Current State: 91:[3, 69, 114], Operations: ['25+89=114']
Exploring Operation: 69/3=23, Resulting Numbers: [114, 23]
Generated Node #3: [114, 23] from Operation: 69/3=23
Current State: 91:[114, 23], Operations: ['25+89=114', '69/3=23']
Exploring Operation: 114-23=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
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