nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
25,
32,
36,
48
] | 13 | [
"36-32=4",
"48/4=12",
"25-12=13"
] | Current State: 13:[25, 32, 36, 48], Operations: []
Exploring Operation: 36-32=4, Resulting Numbers: [25, 48, 4]
Generated Node #2: [25, 48, 4] from Operation: 36-32=4
Current State: 13:[25, 48, 4], Operations: ['36-32=4']
Exploring Operation: 48/4=12, Resulting Numbers: [25, 12]
Generated Node #3: [25, 12] from Operation: 48/4=12
Current State: 13:[25, 12], Operations: ['36-32=4', '48/4=12']
Exploring Operation: 25-12=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
68,
23,
16,
17
] | 76 | [
"68*23=1564",
"1564/17=92",
"92-16=76"
] | Current State: 76:[68, 23, 16, 17], Operations: []
Exploring Operation: 68*23=1564, Resulting Numbers: [16, 17, 1564]
Generated Node #2: [16, 17, 1564] from Operation: 68*23=1564
Current State: 76:[16, 17, 1564], Operations: ['68*23=1564']
Exploring Operation: 1564/17=92, Resulting Numbers: [16, 92]
Generated Node #3: [16, 92] from Operation: 1564/17=92
Current State: 76:[16, 92], Operations: ['68*23=1564', '1564/17=92']
Exploring Operation: 92-16=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
17,
26,
22,
2
] | 47 | [
"22-17=5",
"26*2=52",
"52-5=47"
] | Current State: 47:[17, 26, 22, 2], Operations: []
Exploring Operation: 22-17=5, Resulting Numbers: [26, 2, 5]
Generated Node #2: [26, 2, 5] from Operation: 22-17=5
Current State: 47:[26, 2, 5], Operations: ['22-17=5']
Exploring Operation: 26*2=52, Resulting Numbers: [5, 52]
Generated Node #3: [5, 52] from Operation: 26*2=52
Current State: 47:[5, 52], Operations: ['22-17=5', '26*2=52']
Exploring Operation: 52-5=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
63,
73,
30,
67
] | 47 | [
"73-63=10",
"67-30=37",
"10+37=47"
] | Current State: 47:[63, 73, 30, 67], Operations: []
Exploring Operation: 73-63=10, Resulting Numbers: [30, 67, 10]
Generated Node #2: [30, 67, 10] from Operation: 73-63=10
Current State: 47:[30, 67, 10], Operations: ['73-63=10']
Exploring Operation: 67-30=37, Resulting Numbers: [10, 37]
Generated Node #3: [10, 37] from Operation: 67-30=37
Current State: 47:[10, 37], Operations: ['73-63=10', '67-30=37']
Exploring Operation: 10+37=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
89,
32,
16,
95
] | 22 | [
"89-32=57",
"95-16=79",
"79-57=22"
] | Current State: 22:[89, 32, 16, 95], Operations: []
Exploring Operation: 89-32=57, Resulting Numbers: [16, 95, 57]
Generated Node #2: [16, 95, 57] from Operation: 89-32=57
Current State: 22:[16, 95, 57], Operations: ['89-32=57']
Exploring Operation: 95-16=79, Resulting Numbers: [57, 79]
Generated Node #3: [57, 79] from Operation: 95-16=79
Current State: 22:[57, 79], Operations: ['89-32=57', '95-16=79']
Exploring Operation: 79-57=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
85,
88,
53,
72
] | 77 | [
"88-85=3",
"72/3=24",
"53+24=77"
] | Current State: 77:[85, 88, 53, 72], Operations: []
Exploring Operation: 88-85=3, Resulting Numbers: [53, 72, 3]
Generated Node #2: [53, 72, 3] from Operation: 88-85=3
Current State: 77:[53, 72, 3], Operations: ['88-85=3']
Exploring Operation: 72/3=24, Resulting Numbers: [53, 24]
Generated Node #3: [53, 24] from Operation: 72/3=24
Current State: 77:[53, 24], Operations: ['88-85=3', '72/3=24']
Exploring Operation: 53+24=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
12,
91,
2,
63
] | 83 | [
"12+91=103",
"63+103=166",
"166/2=83"
] | Current State: 83:[12, 91, 2, 63], Operations: []
Exploring Operation: 12+91=103, Resulting Numbers: [2, 63, 103]
Generated Node #2: [2, 63, 103] from Operation: 12+91=103
Current State: 83:[2, 63, 103], Operations: ['12+91=103']
Exploring Operation: 63+103=166, Resulting Numbers: [2, 166]
Generated Node #3: [2, 166] from Operation: 63+103=166
Current State: 83:[2, 166], Operations: ['12+91=103', '63+103=166']
Exploring Operation: 166/2=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
10,
2,
12,
1
] | 19 | [
"10-2=8",
"12-1=11",
"8+11=19"
] | Current State: 19:[10, 2, 12, 1], Operations: []
Exploring Operation: 10-2=8, Resulting Numbers: [12, 1, 8]
Generated Node #2: [12, 1, 8] from Operation: 10-2=8
Current State: 19:[12, 1, 8], Operations: ['10-2=8']
Exploring Operation: 12-1=11, Resulting Numbers: [8, 11]
Generated Node #3: [8, 11] from Operation: 12-1=11
Current State: 19:[8, 11], Operations: ['10-2=8', '12-1=11']
Exploring Operation: 8+11=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
58,
8,
87,
55
] | 82 | [
"58-8=50",
"87-55=32",
"50+32=82"
] | Current State: 82:[58, 8, 87, 55], Operations: []
Exploring Operation: 58-8=50, Resulting Numbers: [87, 55, 50]
Generated Node #2: [87, 55, 50] from Operation: 58-8=50
Current State: 82:[87, 55, 50], Operations: ['58-8=50']
Exploring Operation: 87-55=32, Resulting Numbers: [50, 32]
Generated Node #3: [50, 32] from Operation: 87-55=32
Current State: 82:[50, 32], Operations: ['58-8=50', '87-55=32']
Exploring Operation: 50+32=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
18,
74,
62,
62
] | 32 | [
"18+74=92",
"62+62=124",
"124-92=32"
] | Current State: 32:[18, 74, 62, 62], Operations: []
Exploring Operation: 18+74=92, Resulting Numbers: [62, 62, 92]
Generated Node #2: [62, 62, 92] from Operation: 18+74=92
Current State: 32:[62, 62, 92], Operations: ['18+74=92']
Exploring Operation: 62+62=124, Resulting Numbers: [92, 124]
Generated Node #3: [92, 124] from Operation: 62+62=124
Current State: 32:[92, 124], Operations: ['18+74=92', '62+62=124']
Exploring Operation: 124-92=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
22,
23,
21,
40
] | 61 | [
"23-22=1",
"21+40=61",
"1*61=61"
] | Current State: 61:[22, 23, 21, 40], Operations: []
Exploring Operation: 23-22=1, Resulting Numbers: [21, 40, 1]
Generated Node #2: [21, 40, 1] from Operation: 23-22=1
Current State: 61:[21, 40, 1], Operations: ['23-22=1']
Exploring Operation: 21+40=61, Resulting Numbers: [1, 61]
Generated Node #3: [1, 61] from Operation: 21+40=61
Current State: 61:[1, 61], Operations: ['23-22=1', '21+40=61']
Exploring Operation: 1*61=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
21,
21,
12,
5
] | 59 | [
"21+21=42",
"12+5=17",
"42+17=59"
] | Current State: 59:[21, 21, 12, 5], Operations: []
Exploring Operation: 21+21=42, Resulting Numbers: [12, 5, 42]
Generated Node #2: [12, 5, 42] from Operation: 21+21=42
Current State: 59:[12, 5, 42], Operations: ['21+21=42']
Exploring Operation: 12+5=17, Resulting Numbers: [42, 17]
Generated Node #3: [42, 17] from Operation: 12+5=17
Current State: 59:[42, 17], Operations: ['21+21=42', '12+5=17']
Exploring Operation: 42+17=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
68,
5,
97,
70
] | 43 | [
"97-68=29",
"70/5=14",
"29+14=43"
] | Current State: 43:[68, 5, 97, 70], Operations: []
Exploring Operation: 97-68=29, Resulting Numbers: [5, 70, 29]
Generated Node #2: [5, 70, 29] from Operation: 97-68=29
Current State: 43:[5, 70, 29], Operations: ['97-68=29']
Exploring Operation: 70/5=14, Resulting Numbers: [29, 14]
Generated Node #3: [29, 14] from Operation: 70/5=14
Current State: 43:[29, 14], Operations: ['97-68=29', '70/5=14']
Exploring Operation: 29+14=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
69,
71,
14,
61
] | 49 | [
"71-69=2",
"61-14=47",
"2+47=49"
] | Current State: 49:[69, 71, 14, 61], Operations: []
Exploring Operation: 71-69=2, Resulting Numbers: [14, 61, 2]
Generated Node #2: [14, 61, 2] from Operation: 71-69=2
Current State: 49:[14, 61, 2], Operations: ['71-69=2']
Exploring Operation: 61-14=47, Resulting Numbers: [2, 47]
Generated Node #3: [2, 47] from Operation: 61-14=47
Current State: 49:[2, 47], Operations: ['71-69=2', '61-14=47']
Exploring Operation: 2+47=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
4,
88,
12,
14
] | 39 | [
"88+12=100",
"100/4=25",
"14+25=39"
] | Current State: 39:[4, 88, 12, 14], Operations: []
Exploring Operation: 88+12=100, Resulting Numbers: [4, 14, 100]
Generated Node #2: [4, 14, 100] from Operation: 88+12=100
Current State: 39:[4, 14, 100], Operations: ['88+12=100']
Exploring Operation: 100/4=25, Resulting Numbers: [14, 25]
Generated Node #3: [14, 25] from Operation: 100/4=25
Current State: 39:[14, 25], Operations: ['88+12=100', '100/4=25']
Exploring Operation: 14+25=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
42,
13,
78,
8
] | 76 | [
"13+8=21",
"42/21=2",
"78-2=76"
] | Current State: 76:[42, 13, 78, 8], Operations: []
Exploring Operation: 13+8=21, Resulting Numbers: [42, 78, 21]
Generated Node #2: [42, 78, 21] from Operation: 13+8=21
Current State: 76:[42, 78, 21], Operations: ['13+8=21']
Exploring Operation: 42/21=2, Resulting Numbers: [78, 2]
Generated Node #3: [78, 2] from Operation: 42/21=2
Current State: 76:[78, 2], Operations: ['13+8=21', '42/21=2']
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
18,
19,
98,
1
] | 61 | [
"18+19=37",
"98*1=98",
"98-37=61"
] | Current State: 61:[18, 19, 98, 1], Operations: []
Exploring Operation: 18+19=37, Resulting Numbers: [98, 1, 37]
Generated Node #2: [98, 1, 37] from Operation: 18+19=37
Current State: 61:[98, 1, 37], Operations: ['18+19=37']
Exploring Operation: 98*1=98, Resulting Numbers: [37, 98]
Generated Node #3: [37, 98] from Operation: 98*1=98
Current State: 61:[37, 98], Operations: ['18+19=37', '98*1=98']
Exploring Operation: 98-37=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
8,
22,
31,
6
] | 53 | [
"22-8=14",
"6*14=84",
"84-31=53"
] | Current State: 53:[8, 22, 31, 6], Operations: []
Exploring Operation: 22-8=14, Resulting Numbers: [31, 6, 14]
Generated Node #2: [31, 6, 14] from Operation: 22-8=14
Current State: 53:[31, 6, 14], Operations: ['22-8=14']
Exploring Operation: 6*14=84, Resulting Numbers: [31, 84]
Generated Node #3: [31, 84] from Operation: 6*14=84
Current State: 53:[31, 84], Operations: ['22-8=14', '6*14=84']
Exploring Operation: 84-31=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
42,
44,
20,
34
] | 40 | [
"44-34=10",
"20/10=2",
"42-2=40"
] | Current State: 40:[42, 44, 20, 34], Operations: []
Exploring Operation: 44-34=10, Resulting Numbers: [42, 20, 10]
Generated Node #2: [42, 20, 10] from Operation: 44-34=10
Current State: 40:[42, 20, 10], Operations: ['44-34=10']
Exploring Operation: 20/10=2, Resulting Numbers: [42, 2]
Generated Node #3: [42, 2] from Operation: 20/10=2
Current State: 40:[42, 2], Operations: ['44-34=10', '20/10=2']
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
55,
10,
70,
97
] | 92 | [
"55+10=65",
"97-70=27",
"65+27=92"
] | Current State: 92:[55, 10, 70, 97], Operations: []
Exploring Operation: 55+10=65, Resulting Numbers: [70, 97, 65]
Generated Node #2: [70, 97, 65] from Operation: 55+10=65
Current State: 92:[70, 97, 65], Operations: ['55+10=65']
Exploring Operation: 97-70=27, Resulting Numbers: [65, 27]
Generated Node #3: [65, 27] from Operation: 97-70=27
Current State: 92:[65, 27], Operations: ['55+10=65', '97-70=27']
Exploring Operation: 65+27=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
45,
23,
52,
63
] | 98 | [
"52-45=7",
"23*7=161",
"161-63=98"
] | Current State: 98:[45, 23, 52, 63], Operations: []
Exploring Operation: 52-45=7, Resulting Numbers: [23, 63, 7]
Generated Node #2: [23, 63, 7] from Operation: 52-45=7
Current State: 98:[23, 63, 7], Operations: ['52-45=7']
Exploring Operation: 23*7=161, Resulting Numbers: [63, 161]
Generated Node #3: [63, 161] from Operation: 23*7=161
Current State: 98:[63, 161], Operations: ['52-45=7', '23*7=161']
Exploring Operation: 161-63=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
39,
37,
52,
33
] | 14 | [
"39-37=2",
"33*2=66",
"66-52=14"
] | Current State: 14:[39, 37, 52, 33], Operations: []
Exploring Operation: 39-37=2, Resulting Numbers: [52, 33, 2]
Generated Node #2: [52, 33, 2] from Operation: 39-37=2
Current State: 14:[52, 33, 2], Operations: ['39-37=2']
Exploring Operation: 33*2=66, Resulting Numbers: [52, 66]
Generated Node #3: [52, 66] from Operation: 33*2=66
Current State: 14:[52, 66], Operations: ['39-37=2', '33*2=66']
Exploring Operation: 66-52=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
43,
13,
47,
52
] | 86 | [
"43+47=90",
"52/13=4",
"90-4=86"
] | Current State: 86:[43, 13, 47, 52], Operations: []
Exploring Operation: 43+47=90, Resulting Numbers: [13, 52, 90]
Generated Node #2: [13, 52, 90] from Operation: 43+47=90
Current State: 86:[13, 52, 90], Operations: ['43+47=90']
Exploring Operation: 52/13=4, Resulting Numbers: [90, 4]
Generated Node #3: [90, 4] from Operation: 52/13=4
Current State: 86:[90, 4], Operations: ['43+47=90', '52/13=4']
Exploring Operation: 90-4=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
49,
32,
52,
58
] | 93 | [
"49-32=17",
"52+58=110",
"110-17=93"
] | Current State: 93:[49, 32, 52, 58], Operations: []
Exploring Operation: 49-32=17, Resulting Numbers: [52, 58, 17]
Generated Node #2: [52, 58, 17] from Operation: 49-32=17
Current State: 93:[52, 58, 17], Operations: ['49-32=17']
Exploring Operation: 52+58=110, Resulting Numbers: [17, 110]
Generated Node #3: [17, 110] from Operation: 52+58=110
Current State: 93:[17, 110], Operations: ['49-32=17', '52+58=110']
Exploring Operation: 110-17=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
81,
46,
50,
86
] | 94 | [
"81*50=4050",
"46*86=3956",
"4050-3956=94"
] | Current State: 94:[81, 46, 50, 86], Operations: []
Exploring Operation: 81*50=4050, Resulting Numbers: [46, 86, 4050]
Generated Node #2: [46, 86, 4050] from Operation: 81*50=4050
Current State: 94:[46, 86, 4050], Operations: ['81*50=4050']
Exploring Operation: 46*86=3956, Resulting Numbers: [4050, 3956]
Generated Node #3: [4050, 3956] from Operation: 46*86=3956
Current State: 94:[4050, 3956], Operations: ['81*50=4050', '46*86=3956']
Exploring Operation: 4050-3956=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
6,
91,
1,
93
] | 11 | [
"93-91=2",
"6*2=12",
"12-1=11"
] | Current State: 11:[6, 91, 1, 93], Operations: []
Exploring Operation: 93-91=2, Resulting Numbers: [6, 1, 2]
Generated Node #2: [6, 1, 2] from Operation: 93-91=2
Current State: 11:[6, 1, 2], Operations: ['93-91=2']
Exploring Operation: 6*2=12, Resulting Numbers: [1, 12]
Generated Node #3: [1, 12] from Operation: 6*2=12
Current State: 11:[1, 12], Operations: ['93-91=2', '6*2=12']
Exploring Operation: 12-1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
50,
3,
55,
54
] | 25 | [
"55-3=52",
"54-52=2",
"50/2=25"
] | Current State: 25:[50, 3, 55, 54], Operations: []
Exploring Operation: 55-3=52, Resulting Numbers: [50, 54, 52]
Generated Node #2: [50, 54, 52] from Operation: 55-3=52
Current State: 25:[50, 54, 52], Operations: ['55-3=52']
Exploring Operation: 54-52=2, Resulting Numbers: [50, 2]
Generated Node #3: [50, 2] from Operation: 54-52=2
Current State: 25:[50, 2], Operations: ['55-3=52', '54-52=2']
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
28,
86,
26,
56
] | 43 | [
"28+26=54",
"56-54=2",
"86/2=43"
] | Current State: 43:[28, 86, 26, 56], Operations: []
Exploring Operation: 28+26=54, Resulting Numbers: [86, 56, 54]
Generated Node #2: [86, 56, 54] from Operation: 28+26=54
Current State: 43:[86, 56, 54], Operations: ['28+26=54']
Exploring Operation: 56-54=2, Resulting Numbers: [86, 2]
Generated Node #3: [86, 2] from Operation: 56-54=2
Current State: 43:[86, 2], Operations: ['28+26=54', '56-54=2']
Exploring Operation: 86/2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
43,
19,
76,
80
] | 63 | [
"76/19=4",
"80/4=20",
"43+20=63"
] | Current State: 63:[43, 19, 76, 80], Operations: []
Exploring Operation: 76/19=4, Resulting Numbers: [43, 80, 4]
Generated Node #2: [43, 80, 4] from Operation: 76/19=4
Current State: 63:[43, 80, 4], Operations: ['76/19=4']
Exploring Operation: 80/4=20, Resulting Numbers: [43, 20]
Generated Node #3: [43, 20] from Operation: 80/4=20
Current State: 63:[43, 20], Operations: ['76/19=4', '80/4=20']
Exploring Operation: 43+20=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
92,
18,
90,
36
] | 37 | [
"92*36=3312",
"18+3312=3330",
"3330/90=37"
] | Current State: 37:[92, 18, 90, 36], Operations: []
Exploring Operation: 92*36=3312, Resulting Numbers: [18, 90, 3312]
Generated Node #2: [18, 90, 3312] from Operation: 92*36=3312
Current State: 37:[18, 90, 3312], Operations: ['92*36=3312']
Exploring Operation: 18+3312=3330, Resulting Numbers: [90, 3330]
Generated Node #3: [90, 3330] from Operation: 18+3312=3330
Current State: 37:[90, 3330], Operations: ['92*36=3312', '18+3312=3330']
Exploring Operation: 3330/90=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
72,
10,
78,
46
] | 61 | [
"72+78=150",
"150/10=15",
"46+15=61"
] | Current State: 61:[72, 10, 78, 46], Operations: []
Exploring Operation: 72+78=150, Resulting Numbers: [10, 46, 150]
Generated Node #2: [10, 46, 150] from Operation: 72+78=150
Current State: 61:[10, 46, 150], Operations: ['72+78=150']
Exploring Operation: 150/10=15, Resulting Numbers: [46, 15]
Generated Node #3: [46, 15] from Operation: 150/10=15
Current State: 61:[46, 15], Operations: ['72+78=150', '150/10=15']
Exploring Operation: 46+15=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
45,
80,
65,
22
] | 26 | [
"65-45=20",
"80/20=4",
"22+4=26"
] | Current State: 26:[45, 80, 65, 22], Operations: []
Exploring Operation: 65-45=20, Resulting Numbers: [80, 22, 20]
Generated Node #2: [80, 22, 20] from Operation: 65-45=20
Current State: 26:[80, 22, 20], Operations: ['65-45=20']
Exploring Operation: 80/20=4, Resulting Numbers: [22, 4]
Generated Node #3: [22, 4] from Operation: 80/20=4
Current State: 26:[22, 4], Operations: ['65-45=20', '80/20=4']
Exploring Operation: 22+4=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
69,
41,
43,
55
] | 98 | [
"69+41=110",
"55-43=12",
"110-12=98"
] | Current State: 98:[69, 41, 43, 55], Operations: []
Exploring Operation: 69+41=110, Resulting Numbers: [43, 55, 110]
Generated Node #2: [43, 55, 110] from Operation: 69+41=110
Current State: 98:[43, 55, 110], Operations: ['69+41=110']
Exploring Operation: 55-43=12, Resulting Numbers: [110, 12]
Generated Node #3: [110, 12] from Operation: 55-43=12
Current State: 98:[110, 12], Operations: ['69+41=110', '55-43=12']
Exploring Operation: 110-12=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
40,
48,
70,
45
] | 16 | [
"48*45=2160",
"2160/40=54",
"70-54=16"
] | Current State: 16:[40, 48, 70, 45], Operations: []
Exploring Operation: 48*45=2160, Resulting Numbers: [40, 70, 2160]
Generated Node #2: [40, 70, 2160] from Operation: 48*45=2160
Current State: 16:[40, 70, 2160], Operations: ['48*45=2160']
Exploring Operation: 2160/40=54, Resulting Numbers: [70, 54]
Generated Node #3: [70, 54] from Operation: 2160/40=54
Current State: 16:[70, 54], Operations: ['48*45=2160', '2160/40=54']
Exploring Operation: 70-54=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
4,
77,
70,
90
] | 95 | [
"77*90=6930",
"6930/70=99",
"99-4=95"
] | Current State: 95:[4, 77, 70, 90], Operations: []
Exploring Operation: 77*90=6930, Resulting Numbers: [4, 70, 6930]
Generated Node #2: [4, 70, 6930] from Operation: 77*90=6930
Current State: 95:[4, 70, 6930], Operations: ['77*90=6930']
Exploring Operation: 6930/70=99, Resulting Numbers: [4, 99]
Generated Node #3: [4, 99] from Operation: 6930/70=99
Current State: 95:[4, 99], Operations: ['77*90=6930', '6930/70=99']
Exploring Operation: 99-4=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
48,
91,
13,
83
] | 93 | [
"13+83=96",
"96/48=2",
"91+2=93"
] | Current State: 93:[48, 91, 13, 83], Operations: []
Exploring Operation: 13+83=96, Resulting Numbers: [48, 91, 96]
Generated Node #2: [48, 91, 96] from Operation: 13+83=96
Current State: 93:[48, 91, 96], Operations: ['13+83=96']
Exploring Operation: 96/48=2, Resulting Numbers: [91, 2]
Generated Node #3: [91, 2] from Operation: 96/48=2
Current State: 93:[91, 2], Operations: ['13+83=96', '96/48=2']
Exploring Operation: 91+2=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
26,
30,
24,
64
] | 54 | [
"30*64=1920",
"1920/24=80",
"80-26=54"
] | Current State: 54:[26, 30, 24, 64], Operations: []
Exploring Operation: 30*64=1920, Resulting Numbers: [26, 24, 1920]
Generated Node #2: [26, 24, 1920] from Operation: 30*64=1920
Current State: 54:[26, 24, 1920], Operations: ['30*64=1920']
Exploring Operation: 1920/24=80, Resulting Numbers: [26, 80]
Generated Node #3: [26, 80] from Operation: 1920/24=80
Current State: 54:[26, 80], Operations: ['30*64=1920', '1920/24=80']
Exploring Operation: 80-26=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
10,
48,
86,
1
] | 28 | [
"10+48=58",
"86*1=86",
"86-58=28"
] | Current State: 28:[10, 48, 86, 1], Operations: []
Exploring Operation: 10+48=58, Resulting Numbers: [86, 1, 58]
Generated Node #2: [86, 1, 58] from Operation: 10+48=58
Current State: 28:[86, 1, 58], Operations: ['10+48=58']
Exploring Operation: 86*1=86, Resulting Numbers: [58, 86]
Generated Node #3: [58, 86] from Operation: 86*1=86
Current State: 28:[58, 86], Operations: ['10+48=58', '86*1=86']
Exploring Operation: 86-58=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
17,
14,
70,
98
] | 25 | [
"17-14=3",
"98-70=28",
"28-3=25"
] | Current State: 25:[17, 14, 70, 98], Operations: []
Exploring Operation: 17-14=3, Resulting Numbers: [70, 98, 3]
Generated Node #2: [70, 98, 3] from Operation: 17-14=3
Current State: 25:[70, 98, 3], Operations: ['17-14=3']
Exploring Operation: 98-70=28, Resulting Numbers: [3, 28]
Generated Node #3: [3, 28] from Operation: 98-70=28
Current State: 25:[3, 28], Operations: ['17-14=3', '98-70=28']
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
13,
3,
2,
40
] | 48 | [
"13+3=16",
"16/2=8",
"40+8=48"
] | Current State: 48:[13, 3, 2, 40], Operations: []
Exploring Operation: 13+3=16, Resulting Numbers: [2, 40, 16]
Generated Node #2: [2, 40, 16] from Operation: 13+3=16
Current State: 48:[2, 40, 16], Operations: ['13+3=16']
Exploring Operation: 16/2=8, Resulting Numbers: [40, 8]
Generated Node #3: [40, 8] from Operation: 16/2=8
Current State: 48:[40, 8], Operations: ['13+3=16', '16/2=8']
Exploring Operation: 40+8=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
8,
73,
82,
8
] | 55 | [
"8*8=64",
"82-73=9",
"64-9=55"
] | Current State: 55:[8, 73, 82, 8], Operations: []
Exploring Operation: 8*8=64, Resulting Numbers: [73, 82, 64]
Generated Node #2: [73, 82, 64] from Operation: 8*8=64
Current State: 55:[73, 82, 64], Operations: ['8*8=64']
Exploring Operation: 82-73=9, Resulting Numbers: [64, 9]
Generated Node #3: [64, 9] from Operation: 82-73=9
Current State: 55:[64, 9], Operations: ['8*8=64', '82-73=9']
Exploring Operation: 64-9=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
43,
83,
61,
54
] | 18 | [
"43+83=126",
"61-54=7",
"126/7=18"
] | Current State: 18:[43, 83, 61, 54], Operations: []
Exploring Operation: 43+83=126, Resulting Numbers: [61, 54, 126]
Generated Node #2: [61, 54, 126] from Operation: 43+83=126
Current State: 18:[61, 54, 126], Operations: ['43+83=126']
Exploring Operation: 61-54=7, Resulting Numbers: [126, 7]
Generated Node #3: [126, 7] from Operation: 61-54=7
Current State: 18:[126, 7], Operations: ['43+83=126', '61-54=7']
Exploring Operation: 126/7=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
65,
3,
82,
13
] | 97 | [
"65*3=195",
"195/13=15",
"82+15=97"
] | Current State: 97:[65, 3, 82, 13], Operations: []
Exploring Operation: 65*3=195, Resulting Numbers: [82, 13, 195]
Generated Node #2: [82, 13, 195] from Operation: 65*3=195
Current State: 97:[82, 13, 195], Operations: ['65*3=195']
Exploring Operation: 195/13=15, Resulting Numbers: [82, 15]
Generated Node #3: [82, 15] from Operation: 195/13=15
Current State: 97:[82, 15], Operations: ['65*3=195', '195/13=15']
Exploring Operation: 82+15=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
57,
86,
87,
70
] | 73 | [
"86-57=29",
"87/29=3",
"70+3=73"
] | Current State: 73:[57, 86, 87, 70], Operations: []
Exploring Operation: 86-57=29, Resulting Numbers: [87, 70, 29]
Generated Node #2: [87, 70, 29] from Operation: 86-57=29
Current State: 73:[87, 70, 29], Operations: ['86-57=29']
Exploring Operation: 87/29=3, Resulting Numbers: [70, 3]
Generated Node #3: [70, 3] from Operation: 87/29=3
Current State: 73:[70, 3], Operations: ['86-57=29', '87/29=3']
Exploring Operation: 70+3=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
64,
71,
18,
3
] | 75 | [
"71-64=7",
"18+7=25",
"3*25=75"
] | Current State: 75:[64, 71, 18, 3], Operations: []
Exploring Operation: 71-64=7, Resulting Numbers: [18, 3, 7]
Generated Node #2: [18, 3, 7] from Operation: 71-64=7
Current State: 75:[18, 3, 7], Operations: ['71-64=7']
Exploring Operation: 18+7=25, Resulting Numbers: [3, 25]
Generated Node #3: [3, 25] from Operation: 18+7=25
Current State: 75:[3, 25], Operations: ['71-64=7', '18+7=25']
Exploring Operation: 3*25=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
98,
15,
46,
13
] | 75 | [
"15-13=2",
"46/2=23",
"98-23=75"
] | Current State: 75:[98, 15, 46, 13], Operations: []
Exploring Operation: 15-13=2, Resulting Numbers: [98, 46, 2]
Generated Node #2: [98, 46, 2] from Operation: 15-13=2
Current State: 75:[98, 46, 2], Operations: ['15-13=2']
Exploring Operation: 46/2=23, Resulting Numbers: [98, 23]
Generated Node #3: [98, 23] from Operation: 46/2=23
Current State: 75:[98, 23], Operations: ['15-13=2', '46/2=23']
Exploring Operation: 98-23=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
95,
74,
46,
19
] | 86 | [
"95-74=21",
"46+19=65",
"21+65=86"
] | Current State: 86:[95, 74, 46, 19], Operations: []
Exploring Operation: 95-74=21, Resulting Numbers: [46, 19, 21]
Generated Node #2: [46, 19, 21] from Operation: 95-74=21
Current State: 86:[46, 19, 21], Operations: ['95-74=21']
Exploring Operation: 46+19=65, Resulting Numbers: [21, 65]
Generated Node #3: [21, 65] from Operation: 46+19=65
Current State: 86:[21, 65], Operations: ['95-74=21', '46+19=65']
Exploring Operation: 21+65=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
49,
27,
38,
9
] | 47 | [
"49+27=76",
"38-9=29",
"76-29=47"
] | Current State: 47:[49, 27, 38, 9], Operations: []
Exploring Operation: 49+27=76, Resulting Numbers: [38, 9, 76]
Generated Node #2: [38, 9, 76] from Operation: 49+27=76
Current State: 47:[38, 9, 76], Operations: ['49+27=76']
Exploring Operation: 38-9=29, Resulting Numbers: [76, 29]
Generated Node #3: [76, 29] from Operation: 38-9=29
Current State: 47:[76, 29], Operations: ['49+27=76', '38-9=29']
Exploring Operation: 76-29=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
22,
66,
21,
50
] | 26 | [
"66/22=3",
"50-21=29",
"29-3=26"
] | Current State: 26:[22, 66, 21, 50], Operations: []
Exploring Operation: 66/22=3, Resulting Numbers: [21, 50, 3]
Generated Node #2: [21, 50, 3] from Operation: 66/22=3
Current State: 26:[21, 50, 3], Operations: ['66/22=3']
Exploring Operation: 50-21=29, Resulting Numbers: [3, 29]
Generated Node #3: [3, 29] from Operation: 50-21=29
Current State: 26:[3, 29], Operations: ['66/22=3', '50-21=29']
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
82,
28,
61,
93
] | 22 | [
"82-28=54",
"93-61=32",
"54-32=22"
] | Current State: 22:[82, 28, 61, 93], Operations: []
Exploring Operation: 82-28=54, Resulting Numbers: [61, 93, 54]
Generated Node #2: [61, 93, 54] from Operation: 82-28=54
Current State: 22:[61, 93, 54], Operations: ['82-28=54']
Exploring Operation: 93-61=32, Resulting Numbers: [54, 32]
Generated Node #3: [54, 32] from Operation: 93-61=32
Current State: 22:[54, 32], Operations: ['82-28=54', '93-61=32']
Exploring Operation: 54-32=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
14,
42,
21,
54
] | 39 | [
"42/14=3",
"54/3=18",
"21+18=39"
] | Current State: 39:[14, 42, 21, 54], Operations: []
Exploring Operation: 42/14=3, Resulting Numbers: [21, 54, 3]
Generated Node #2: [21, 54, 3] from Operation: 42/14=3
Current State: 39:[21, 54, 3], Operations: ['42/14=3']
Exploring Operation: 54/3=18, Resulting Numbers: [21, 18]
Generated Node #3: [21, 18] from Operation: 54/3=18
Current State: 39:[21, 18], Operations: ['42/14=3', '54/3=18']
Exploring Operation: 21+18=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
33,
56,
5,
81
] | 92 | [
"81-56=25",
"5*25=125",
"125-33=92"
] | Current State: 92:[33, 56, 5, 81], Operations: []
Exploring Operation: 81-56=25, Resulting Numbers: [33, 5, 25]
Generated Node #2: [33, 5, 25] from Operation: 81-56=25
Current State: 92:[33, 5, 25], Operations: ['81-56=25']
Exploring Operation: 5*25=125, Resulting Numbers: [33, 125]
Generated Node #3: [33, 125] from Operation: 5*25=125
Current State: 92:[33, 125], Operations: ['81-56=25', '5*25=125']
Exploring Operation: 125-33=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
6,
53,
89,
93
] | 43 | [
"53-6=47",
"93-89=4",
"47-4=43"
] | Current State: 43:[6, 53, 89, 93], Operations: []
Exploring Operation: 53-6=47, Resulting Numbers: [89, 93, 47]
Generated Node #2: [89, 93, 47] from Operation: 53-6=47
Current State: 43:[89, 93, 47], Operations: ['53-6=47']
Exploring Operation: 93-89=4, Resulting Numbers: [47, 4]
Generated Node #3: [47, 4] from Operation: 93-89=4
Current State: 43:[47, 4], Operations: ['53-6=47', '93-89=4']
Exploring Operation: 47-4=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
88,
11,
99,
77
] | 14 | [
"88/11=8",
"99-77=22",
"22-8=14"
] | Current State: 14:[88, 11, 99, 77], Operations: []
Exploring Operation: 88/11=8, Resulting Numbers: [99, 77, 8]
Generated Node #2: [99, 77, 8] from Operation: 88/11=8
Current State: 14:[99, 77, 8], Operations: ['88/11=8']
Exploring Operation: 99-77=22, Resulting Numbers: [8, 22]
Generated Node #3: [8, 22] from Operation: 99-77=22
Current State: 14:[8, 22], Operations: ['88/11=8', '99-77=22']
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
46,
96,
34,
80
] | 97 | [
"46+34=80",
"80/80=1",
"96+1=97"
] | Current State: 97:[46, 96, 34, 80], Operations: []
Exploring Operation: 46+34=80, Resulting Numbers: [96, 80, 80]
Generated Node #2: [96, 80, 80] from Operation: 46+34=80
Current State: 97:[96, 80, 80], Operations: ['46+34=80']
Exploring Operation: 80/80=1, Resulting Numbers: [96, 1]
Generated Node #3: [96, 1] from Operation: 80/80=1
Current State: 97:[96, 1], Operations: ['46+34=80', '80/80=1']
Exploring Operation: 96+1=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
5,
35,
14,
54
] | 75 | [
"35/5=7",
"14+54=68",
"7+68=75"
] | Current State: 75:[5, 35, 14, 54], Operations: []
Exploring Operation: 35/5=7, Resulting Numbers: [14, 54, 7]
Generated Node #2: [14, 54, 7] from Operation: 35/5=7
Current State: 75:[14, 54, 7], Operations: ['35/5=7']
Exploring Operation: 14+54=68, Resulting Numbers: [7, 68]
Generated Node #3: [7, 68] from Operation: 14+54=68
Current State: 75:[7, 68], Operations: ['35/5=7', '14+54=68']
Exploring Operation: 7+68=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
85,
6,
28,
44
] | 95 | [
"85-6=79",
"44-28=16",
"79+16=95"
] | Current State: 95:[85, 6, 28, 44], Operations: []
Exploring Operation: 85-6=79, Resulting Numbers: [28, 44, 79]
Generated Node #2: [28, 44, 79] from Operation: 85-6=79
Current State: 95:[28, 44, 79], Operations: ['85-6=79']
Exploring Operation: 44-28=16, Resulting Numbers: [79, 16]
Generated Node #3: [79, 16] from Operation: 44-28=16
Current State: 95:[79, 16], Operations: ['85-6=79', '44-28=16']
Exploring Operation: 79+16=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
6,
41,
26,
28
] | 78 | [
"41-26=15",
"28-15=13",
"6*13=78"
] | Current State: 78:[6, 41, 26, 28], Operations: []
Exploring Operation: 41-26=15, Resulting Numbers: [6, 28, 15]
Generated Node #2: [6, 28, 15] from Operation: 41-26=15
Current State: 78:[6, 28, 15], Operations: ['41-26=15']
Exploring Operation: 28-15=13, Resulting Numbers: [6, 13]
Generated Node #3: [6, 13] from Operation: 28-15=13
Current State: 78:[6, 13], Operations: ['41-26=15', '28-15=13']
Exploring Operation: 6*13=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
39,
6,
6,
20
] | 59 | [
"39+6=45",
"20-6=14",
"45+14=59"
] | Current State: 59:[39, 6, 6, 20], Operations: []
Exploring Operation: 39+6=45, Resulting Numbers: [20, 45]
Generated Node #2: [20, 45] from Operation: 39+6=45
Current State: 59:[20, 45], Operations: ['39+6=45']
Exploring Operation: 20-6=14, Resulting Numbers: [45, 14]
Generated Node #3: [45, 14] from Operation: 20-6=14
Current State: 59:[45, 14], Operations: ['39+6=45', '20-6=14']
Exploring Operation: 45+14=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
98,
34,
86,
8
] | 38 | [
"98+34=132",
"86+8=94",
"132-94=38"
] | Current State: 38:[98, 34, 86, 8], Operations: []
Exploring Operation: 98+34=132, Resulting Numbers: [86, 8, 132]
Generated Node #2: [86, 8, 132] from Operation: 98+34=132
Current State: 38:[86, 8, 132], Operations: ['98+34=132']
Exploring Operation: 86+8=94, Resulting Numbers: [132, 94]
Generated Node #3: [132, 94] from Operation: 86+8=94
Current State: 38:[132, 94], Operations: ['98+34=132', '86+8=94']
Exploring Operation: 132-94=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
16,
92,
16,
63
] | 63 | [
"16-16=0",
"92*0=0",
"63+0=63"
] | Current State: 63:[16, 92, 16, 63], Operations: []
Exploring Operation: 16-16=0, Resulting Numbers: [92, 63, 0]
Generated Node #2: [92, 63, 0] from Operation: 16-16=0
Current State: 63:[92, 63, 0], Operations: ['16-16=0']
Exploring Operation: 92*0=0, Resulting Numbers: [63, 0]
Generated Node #3: [63, 0] from Operation: 92*0=0
Current State: 63:[63, 0], Operations: ['16-16=0', '92*0=0']
Exploring Operation: 63+0=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
63,
11,
3,
50
] | 82 | [
"63/3=21",
"11+50=61",
"21+61=82"
] | Current State: 82:[63, 11, 3, 50], Operations: []
Exploring Operation: 63/3=21, Resulting Numbers: [11, 50, 21]
Generated Node #2: [11, 50, 21] from Operation: 63/3=21
Current State: 82:[11, 50, 21], Operations: ['63/3=21']
Exploring Operation: 11+50=61, Resulting Numbers: [21, 61]
Generated Node #3: [21, 61] from Operation: 11+50=61
Current State: 82:[21, 61], Operations: ['63/3=21', '11+50=61']
Exploring Operation: 21+61=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
4,
2,
1,
49
] | 23 | [
"4-1=3",
"49-3=46",
"46/2=23"
] | Current State: 23:[4, 2, 1, 49], Operations: []
Exploring Operation: 4-1=3, Resulting Numbers: [2, 49, 3]
Generated Node #2: [2, 49, 3] from Operation: 4-1=3
Current State: 23:[2, 49, 3], Operations: ['4-1=3']
Exploring Operation: 49-3=46, Resulting Numbers: [2, 46]
Generated Node #3: [2, 46] from Operation: 49-3=46
Current State: 23:[2, 46], Operations: ['4-1=3', '49-3=46']
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
34,
32,
26,
76
] | 64 | [
"34-32=2",
"76/2=38",
"26+38=64"
] | Current State: 64:[34, 32, 26, 76], Operations: []
Exploring Operation: 34-32=2, Resulting Numbers: [26, 76, 2]
Generated Node #2: [26, 76, 2] from Operation: 34-32=2
Current State: 64:[26, 76, 2], Operations: ['34-32=2']
Exploring Operation: 76/2=38, Resulting Numbers: [26, 38]
Generated Node #3: [26, 38] from Operation: 76/2=38
Current State: 64:[26, 38], Operations: ['34-32=2', '76/2=38']
Exploring Operation: 26+38=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
8,
28,
44,
32
] | 34 | [
"44-28=16",
"16/8=2",
"32+2=34"
] | Current State: 34:[8, 28, 44, 32], Operations: []
Exploring Operation: 44-28=16, Resulting Numbers: [8, 32, 16]
Generated Node #2: [8, 32, 16] from Operation: 44-28=16
Current State: 34:[8, 32, 16], Operations: ['44-28=16']
Exploring Operation: 16/8=2, Resulting Numbers: [32, 2]
Generated Node #3: [32, 2] from Operation: 16/8=2
Current State: 34:[32, 2], Operations: ['44-28=16', '16/8=2']
Exploring Operation: 32+2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
66,
92,
5,
3
] | 65 | [
"66/3=22",
"92-5=87",
"87-22=65"
] | Current State: 65:[66, 92, 5, 3], Operations: []
Exploring Operation: 66/3=22, Resulting Numbers: [92, 5, 22]
Generated Node #2: [92, 5, 22] from Operation: 66/3=22
Current State: 65:[92, 5, 22], Operations: ['66/3=22']
Exploring Operation: 92-5=87, Resulting Numbers: [22, 87]
Generated Node #3: [22, 87] from Operation: 92-5=87
Current State: 65:[22, 87], Operations: ['66/3=22', '92-5=87']
Exploring Operation: 87-22=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
85,
30,
37,
66
] | 48 | [
"85-30=55",
"37+66=103",
"103-55=48"
] | Current State: 48:[85, 30, 37, 66], Operations: []
Exploring Operation: 85-30=55, Resulting Numbers: [37, 66, 55]
Generated Node #2: [37, 66, 55] from Operation: 85-30=55
Current State: 48:[37, 66, 55], Operations: ['85-30=55']
Exploring Operation: 37+66=103, Resulting Numbers: [55, 103]
Generated Node #3: [55, 103] from Operation: 37+66=103
Current State: 48:[55, 103], Operations: ['85-30=55', '37+66=103']
Exploring Operation: 103-55=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
18,
98,
26,
36
] | 16 | [
"98-26=72",
"72/36=2",
"18-2=16"
] | Current State: 16:[18, 98, 26, 36], Operations: []
Exploring Operation: 98-26=72, Resulting Numbers: [18, 36, 72]
Generated Node #2: [18, 36, 72] from Operation: 98-26=72
Current State: 16:[18, 36, 72], Operations: ['98-26=72']
Exploring Operation: 72/36=2, Resulting Numbers: [18, 2]
Generated Node #3: [18, 2] from Operation: 72/36=2
Current State: 16:[18, 2], Operations: ['98-26=72', '72/36=2']
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
75,
81,
45,
24
] | 41 | [
"81-75=6",
"24/6=4",
"45-4=41"
] | Current State: 41:[75, 81, 45, 24], Operations: []
Exploring Operation: 81-75=6, Resulting Numbers: [45, 24, 6]
Generated Node #2: [45, 24, 6] from Operation: 81-75=6
Current State: 41:[45, 24, 6], Operations: ['81-75=6']
Exploring Operation: 24/6=4, Resulting Numbers: [45, 4]
Generated Node #3: [45, 4] from Operation: 24/6=4
Current State: 41:[45, 4], Operations: ['81-75=6', '24/6=4']
Exploring Operation: 45-4=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
11,
6,
13,
47
] | 30 | [
"13-6=7",
"11*7=77",
"77-47=30"
] | Current State: 30:[11, 6, 13, 47], Operations: []
Exploring Operation: 13-6=7, Resulting Numbers: [11, 47, 7]
Generated Node #2: [11, 47, 7] from Operation: 13-6=7
Current State: 30:[11, 47, 7], Operations: ['13-6=7']
Exploring Operation: 11*7=77, Resulting Numbers: [47, 77]
Generated Node #3: [47, 77] from Operation: 11*7=77
Current State: 30:[47, 77], Operations: ['13-6=7', '11*7=77']
Exploring Operation: 77-47=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
98,
32,
5,
7
] | 34 | [
"7-5=2",
"32*2=64",
"98-64=34"
] | Current State: 34:[98, 32, 5, 7], Operations: []
Exploring Operation: 7-5=2, Resulting Numbers: [98, 32, 2]
Generated Node #2: [98, 32, 2] from Operation: 7-5=2
Current State: 34:[98, 32, 2], Operations: ['7-5=2']
Exploring Operation: 32*2=64, Resulting Numbers: [98, 64]
Generated Node #3: [98, 64] from Operation: 32*2=64
Current State: 34:[98, 64], Operations: ['7-5=2', '32*2=64']
Exploring Operation: 98-64=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
44,
30,
67,
96
] | 44 | [
"30+67=97",
"97-96=1",
"44*1=44"
] | Current State: 44:[44, 30, 67, 96], Operations: []
Exploring Operation: 30+67=97, Resulting Numbers: [44, 96, 97]
Generated Node #2: [44, 96, 97] from Operation: 30+67=97
Current State: 44:[44, 96, 97], Operations: ['30+67=97']
Exploring Operation: 97-96=1, Resulting Numbers: [44, 1]
Generated Node #3: [44, 1] from Operation: 97-96=1
Current State: 44:[44, 1], Operations: ['30+67=97', '97-96=1']
Exploring Operation: 44*1=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
26,
30,
77,
68
] | 36 | [
"30-26=4",
"77-68=9",
"4*9=36"
] | Current State: 36:[26, 30, 77, 68], Operations: []
Exploring Operation: 30-26=4, Resulting Numbers: [77, 68, 4]
Generated Node #2: [77, 68, 4] from Operation: 30-26=4
Current State: 36:[77, 68, 4], Operations: ['30-26=4']
Exploring Operation: 77-68=9, Resulting Numbers: [4, 9]
Generated Node #3: [4, 9] from Operation: 77-68=9
Current State: 36:[4, 9], Operations: ['30-26=4', '77-68=9']
Exploring Operation: 4*9=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
56,
74,
58,
48
] | 52 | [
"58-56=2",
"74-48=26",
"2*26=52"
] | Current State: 52:[56, 74, 58, 48], Operations: []
Exploring Operation: 58-56=2, Resulting Numbers: [74, 48, 2]
Generated Node #2: [74, 48, 2] from Operation: 58-56=2
Current State: 52:[74, 48, 2], Operations: ['58-56=2']
Exploring Operation: 74-48=26, Resulting Numbers: [2, 26]
Generated Node #3: [2, 26] from Operation: 74-48=26
Current State: 52:[2, 26], Operations: ['58-56=2', '74-48=26']
Exploring Operation: 2*26=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
85,
82,
26,
14
] | 92 | [
"85-82=3",
"26*3=78",
"14+78=92"
] | Current State: 92:[85, 82, 26, 14], Operations: []
Exploring Operation: 85-82=3, Resulting Numbers: [26, 14, 3]
Generated Node #2: [26, 14, 3] from Operation: 85-82=3
Current State: 92:[26, 14, 3], Operations: ['85-82=3']
Exploring Operation: 26*3=78, Resulting Numbers: [14, 78]
Generated Node #3: [14, 78] from Operation: 26*3=78
Current State: 92:[14, 78], Operations: ['85-82=3', '26*3=78']
Exploring Operation: 14+78=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
98,
1,
52,
5
] | 31 | [
"98+52=150",
"150/5=30",
"1+30=31"
] | Current State: 31:[98, 1, 52, 5], Operations: []
Exploring Operation: 98+52=150, Resulting Numbers: [1, 5, 150]
Generated Node #2: [1, 5, 150] from Operation: 98+52=150
Current State: 31:[1, 5, 150], Operations: ['98+52=150']
Exploring Operation: 150/5=30, Resulting Numbers: [1, 30]
Generated Node #3: [1, 30] from Operation: 150/5=30
Current State: 31:[1, 30], Operations: ['98+52=150', '150/5=30']
Exploring Operation: 1+30=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
69,
62,
92,
72
] | 90 | [
"72-69=3",
"92-62=30",
"3*30=90"
] | Current State: 90:[69, 62, 92, 72], Operations: []
Exploring Operation: 72-69=3, Resulting Numbers: [62, 92, 3]
Generated Node #2: [62, 92, 3] from Operation: 72-69=3
Current State: 90:[62, 92, 3], Operations: ['72-69=3']
Exploring Operation: 92-62=30, Resulting Numbers: [3, 30]
Generated Node #3: [3, 30] from Operation: 92-62=30
Current State: 90:[3, 30], Operations: ['72-69=3', '92-62=30']
Exploring Operation: 3*30=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
24,
65,
46,
11
] | 67 | [
"46-24=22",
"22/11=2",
"65+2=67"
] | Current State: 67:[24, 65, 46, 11], Operations: []
Exploring Operation: 46-24=22, Resulting Numbers: [65, 11, 22]
Generated Node #2: [65, 11, 22] from Operation: 46-24=22
Current State: 67:[65, 11, 22], Operations: ['46-24=22']
Exploring Operation: 22/11=2, Resulting Numbers: [65, 2]
Generated Node #3: [65, 2] from Operation: 22/11=2
Current State: 67:[65, 2], Operations: ['46-24=22', '22/11=2']
Exploring Operation: 65+2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
6,
23,
20,
3
] | 77 | [
"23-6=17",
"20*3=60",
"17+60=77"
] | Current State: 77:[6, 23, 20, 3], Operations: []
Exploring Operation: 23-6=17, Resulting Numbers: [20, 3, 17]
Generated Node #2: [20, 3, 17] from Operation: 23-6=17
Current State: 77:[20, 3, 17], Operations: ['23-6=17']
Exploring Operation: 20*3=60, Resulting Numbers: [17, 60]
Generated Node #3: [17, 60] from Operation: 20*3=60
Current State: 77:[17, 60], Operations: ['23-6=17', '20*3=60']
Exploring Operation: 17+60=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
24,
40,
16,
89
] | 88 | [
"40-24=16",
"16/16=1",
"89-1=88"
] | Current State: 88:[24, 40, 16, 89], Operations: []
Exploring Operation: 40-24=16, Resulting Numbers: [16, 89, 16]
Generated Node #2: [16, 89, 16] from Operation: 40-24=16
Current State: 88:[16, 89, 16], Operations: ['40-24=16']
Exploring Operation: 16/16=1, Resulting Numbers: [89, 1]
Generated Node #3: [89, 1] from Operation: 16/16=1
Current State: 88:[89, 1], Operations: ['40-24=16', '16/16=1']
Exploring Operation: 89-1=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
40,
27,
80,
69
] | 56 | [
"40+27=67",
"80-69=11",
"67-11=56"
] | Current State: 56:[40, 27, 80, 69], Operations: []
Exploring Operation: 40+27=67, Resulting Numbers: [80, 69, 67]
Generated Node #2: [80, 69, 67] from Operation: 40+27=67
Current State: 56:[80, 69, 67], Operations: ['40+27=67']
Exploring Operation: 80-69=11, Resulting Numbers: [67, 11]
Generated Node #3: [67, 11] from Operation: 80-69=11
Current State: 56:[67, 11], Operations: ['40+27=67', '80-69=11']
Exploring Operation: 67-11=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
3,
40,
81,
52
] | 33 | [
"81-40=41",
"52-41=11",
"3*11=33"
] | Current State: 33:[3, 40, 81, 52], Operations: []
Exploring Operation: 81-40=41, Resulting Numbers: [3, 52, 41]
Generated Node #2: [3, 52, 41] from Operation: 81-40=41
Current State: 33:[3, 52, 41], Operations: ['81-40=41']
Exploring Operation: 52-41=11, Resulting Numbers: [3, 11]
Generated Node #3: [3, 11] from Operation: 52-41=11
Current State: 33:[3, 11], Operations: ['81-40=41', '52-41=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
53,
75,
25,
3
] | 52 | [
"75/25=3",
"3/3=1",
"53-1=52"
] | Current State: 52:[53, 75, 25, 3], Operations: []
Exploring Operation: 75/25=3, Resulting Numbers: [53, 3, 3]
Generated Node #2: [53, 3, 3] from Operation: 75/25=3
Current State: 52:[53, 3, 3], Operations: ['75/25=3']
Exploring Operation: 3/3=1, Resulting Numbers: [53, 1]
Generated Node #3: [53, 1] from Operation: 3/3=1
Current State: 52:[53, 1], Operations: ['75/25=3', '3/3=1']
Exploring Operation: 53-1=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
35,
48,
53,
27
] | 34 | [
"53-48=5",
"35/5=7",
"27+7=34"
] | Current State: 34:[35, 48, 53, 27], Operations: []
Exploring Operation: 53-48=5, Resulting Numbers: [35, 27, 5]
Generated Node #2: [35, 27, 5] from Operation: 53-48=5
Current State: 34:[35, 27, 5], Operations: ['53-48=5']
Exploring Operation: 35/5=7, Resulting Numbers: [27, 7]
Generated Node #3: [27, 7] from Operation: 35/5=7
Current State: 34:[27, 7], Operations: ['53-48=5', '35/5=7']
Exploring Operation: 27+7=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
66,
53,
12,
81
] | 81 | [
"66-53=13",
"13-12=1",
"81*1=81"
] | Current State: 81:[66, 53, 12, 81], Operations: []
Exploring Operation: 66-53=13, Resulting Numbers: [12, 81, 13]
Generated Node #2: [12, 81, 13] from Operation: 66-53=13
Current State: 81:[12, 81, 13], Operations: ['66-53=13']
Exploring Operation: 13-12=1, Resulting Numbers: [81, 1]
Generated Node #3: [81, 1] from Operation: 13-12=1
Current State: 81:[81, 1], Operations: ['66-53=13', '13-12=1']
Exploring Operation: 81*1=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
69,
1,
27,
10
] | 86 | [
"69*1=69",
"27-10=17",
"69+17=86"
] | Current State: 86:[69, 1, 27, 10], Operations: []
Exploring Operation: 69*1=69, Resulting Numbers: [27, 10, 69]
Generated Node #2: [27, 10, 69] from Operation: 69*1=69
Current State: 86:[27, 10, 69], Operations: ['69*1=69']
Exploring Operation: 27-10=17, Resulting Numbers: [69, 17]
Generated Node #3: [69, 17] from Operation: 27-10=17
Current State: 86:[69, 17], Operations: ['69*1=69', '27-10=17']
Exploring Operation: 69+17=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
72,
82,
62,
58
] | 29 | [
"72*58=4176",
"82+62=144",
"4176/144=29"
] | Current State: 29:[72, 82, 62, 58], Operations: []
Exploring Operation: 72*58=4176, Resulting Numbers: [82, 62, 4176]
Generated Node #2: [82, 62, 4176] from Operation: 72*58=4176
Current State: 29:[82, 62, 4176], Operations: ['72*58=4176']
Exploring Operation: 82+62=144, Resulting Numbers: [4176, 144]
Generated Node #3: [4176, 144] from Operation: 82+62=144
Current State: 29:[4176, 144], Operations: ['72*58=4176', '82+62=144']
Exploring Operation: 4176/144=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
87,
51,
52,
49
] | 33 | [
"87-51=36",
"52-49=3",
"36-3=33"
] | Current State: 33:[87, 51, 52, 49], Operations: []
Exploring Operation: 87-51=36, Resulting Numbers: [52, 49, 36]
Generated Node #2: [52, 49, 36] from Operation: 87-51=36
Current State: 33:[52, 49, 36], Operations: ['87-51=36']
Exploring Operation: 52-49=3, Resulting Numbers: [36, 3]
Generated Node #3: [36, 3] from Operation: 52-49=3
Current State: 33:[36, 3], Operations: ['87-51=36', '52-49=3']
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
5,
8,
2,
3
] | 80 | [
"5+2=7",
"3+7=10",
"8*10=80"
] | Current State: 80:[5, 8, 2, 3], Operations: []
Exploring Operation: 5+2=7, Resulting Numbers: [8, 3, 7]
Generated Node #2: [8, 3, 7] from Operation: 5+2=7
Current State: 80:[8, 3, 7], Operations: ['5+2=7']
Exploring Operation: 3+7=10, Resulting Numbers: [8, 10]
Generated Node #3: [8, 10] from Operation: 3+7=10
Current State: 80:[8, 10], Operations: ['5+2=7', '3+7=10']
Exploring Operation: 8*10=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
72,
12,
92,
18
] | 66 | [
"92*18=1656",
"1656/12=138",
"138-72=66"
] | Current State: 66:[72, 12, 92, 18], Operations: []
Exploring Operation: 92*18=1656, Resulting Numbers: [72, 12, 1656]
Generated Node #2: [72, 12, 1656] from Operation: 92*18=1656
Current State: 66:[72, 12, 1656], Operations: ['92*18=1656']
Exploring Operation: 1656/12=138, Resulting Numbers: [72, 138]
Generated Node #3: [72, 138] from Operation: 1656/12=138
Current State: 66:[72, 138], Operations: ['92*18=1656', '1656/12=138']
Exploring Operation: 138-72=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
35,
2,
2,
10
] | 40 | [
"35*2=70",
"10+70=80",
"80/2=40"
] | Current State: 40:[35, 2, 2, 10], Operations: []
Exploring Operation: 35*2=70, Resulting Numbers: [10, 70]
Generated Node #2: [10, 70] from Operation: 35*2=70
Current State: 40:[10, 70], Operations: ['35*2=70']
Exploring Operation: 10+70=80, Resulting Numbers: [80]
80,40 equal: Goal Reached
Exploring Operation: 80/2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
76,
71,
3,
54
] | 15 | [
"76+71=147",
"3*54=162",
"162-147=15"
] | Current State: 15:[76, 71, 3, 54], Operations: []
Exploring Operation: 76+71=147, Resulting Numbers: [3, 54, 147]
Generated Node #2: [3, 54, 147] from Operation: 76+71=147
Current State: 15:[3, 54, 147], Operations: ['76+71=147']
Exploring Operation: 3*54=162, Resulting Numbers: [147, 162]
Generated Node #3: [147, 162] from Operation: 3*54=162
Current State: 15:[147, 162], Operations: ['76+71=147', '3*54=162']
Exploring Operation: 162-147=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
87,
35,
31,
36
] | 88 | [
"36-31=5",
"35*5=175",
"175-87=88"
] | Current State: 88:[87, 35, 31, 36], Operations: []
Exploring Operation: 36-31=5, Resulting Numbers: [87, 35, 5]
Generated Node #2: [87, 35, 5] from Operation: 36-31=5
Current State: 88:[87, 35, 5], Operations: ['36-31=5']
Exploring Operation: 35*5=175, Resulting Numbers: [87, 175]
Generated Node #3: [87, 175] from Operation: 35*5=175
Current State: 88:[87, 175], Operations: ['36-31=5', '35*5=175']
Exploring Operation: 175-87=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
70,
27,
33,
6
] | 69 | [
"33-27=6",
"6/6=1",
"70-1=69"
] | Current State: 69:[70, 27, 33, 6], Operations: []
Exploring Operation: 33-27=6, Resulting Numbers: [70, 6, 6]
Generated Node #2: [70, 6, 6] from Operation: 33-27=6
Current State: 69:[70, 6, 6], Operations: ['33-27=6']
Exploring Operation: 6/6=1, Resulting Numbers: [70, 1]
Generated Node #3: [70, 1] from Operation: 6/6=1
Current State: 69:[70, 1], Operations: ['33-27=6', '6/6=1']
Exploring Operation: 70-1=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
51,
2,
11,
29
] | 51 | [
"51-11=40",
"2*40=80",
"80-29=51"
] | Current State: 51:[51, 2, 11, 29], Operations: []
Exploring Operation: 51-11=40, Resulting Numbers: [2, 29, 40]
Generated Node #2: [2, 29, 40] from Operation: 51-11=40
Current State: 51:[2, 29, 40], Operations: ['51-11=40']
Exploring Operation: 2*40=80, Resulting Numbers: [29, 80]
Generated Node #3: [29, 80] from Operation: 2*40=80
Current State: 51:[29, 80], Operations: ['51-11=40', '2*40=80']
Exploring Operation: 80-29=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
26,
86,
14,
91
] | 90 | [
"26*14=364",
"364/91=4",
"86+4=90"
] | Current State: 90:[26, 86, 14, 91], Operations: []
Exploring Operation: 26*14=364, Resulting Numbers: [86, 91, 364]
Generated Node #2: [86, 91, 364] from Operation: 26*14=364
Current State: 90:[86, 91, 364], Operations: ['26*14=364']
Exploring Operation: 364/91=4, Resulting Numbers: [86, 4]
Generated Node #3: [86, 4] from Operation: 364/91=4
Current State: 90:[86, 4], Operations: ['26*14=364', '364/91=4']
Exploring Operation: 86+4=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
2,
89,
56,
28
] | 88 | [
"56/2=28",
"28/28=1",
"89-1=88"
] | Current State: 88:[2, 89, 56, 28], Operations: []
Exploring Operation: 56/2=28, Resulting Numbers: [89, 28, 28]
Generated Node #2: [89, 28, 28] from Operation: 56/2=28
Current State: 88:[89, 28, 28], Operations: ['56/2=28']
Exploring Operation: 28/28=1, Resulting Numbers: [89, 1]
Generated Node #3: [89, 1] from Operation: 28/28=1
Current State: 88:[89, 1], Operations: ['56/2=28', '28/28=1']
Exploring Operation: 89-1=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
81,
76,
12,
42
] | 59 | [
"81-76=5",
"12+42=54",
"5+54=59"
] | Current State: 59:[81, 76, 12, 42], Operations: []
Exploring Operation: 81-76=5, Resulting Numbers: [12, 42, 5]
Generated Node #2: [12, 42, 5] from Operation: 81-76=5
Current State: 59:[12, 42, 5], Operations: ['81-76=5']
Exploring Operation: 12+42=54, Resulting Numbers: [5, 54]
Generated Node #3: [5, 54] from Operation: 12+42=54
Current State: 59:[5, 54], Operations: ['81-76=5', '12+42=54']
Exploring Operation: 5+54=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
4,
53,
69,
34
] | 87 | [
"69-34=35",
"4*35=140",
"140-53=87"
] | Current State: 87:[4, 53, 69, 34], Operations: []
Exploring Operation: 69-34=35, Resulting Numbers: [4, 53, 35]
Generated Node #2: [4, 53, 35] from Operation: 69-34=35
Current State: 87:[4, 53, 35], Operations: ['69-34=35']
Exploring Operation: 4*35=140, Resulting Numbers: [53, 140]
Generated Node #3: [53, 140] from Operation: 4*35=140
Current State: 87:[53, 140], Operations: ['69-34=35', '4*35=140']
Exploring Operation: 140-53=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
24,
83,
39,
34
] | 54 | [
"83-24=59",
"39-34=5",
"59-5=54"
] | Current State: 54:[24, 83, 39, 34], Operations: []
Exploring Operation: 83-24=59, Resulting Numbers: [39, 34, 59]
Generated Node #2: [39, 34, 59] from Operation: 83-24=59
Current State: 54:[39, 34, 59], Operations: ['83-24=59']
Exploring Operation: 39-34=5, Resulting Numbers: [59, 5]
Generated Node #3: [59, 5] from Operation: 39-34=5
Current State: 54:[59, 5], Operations: ['83-24=59', '39-34=5']
Exploring Operation: 59-5=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
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