nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
42,
31,
95,
95
] | 92 | [
"31+95=126",
"126/42=3",
"95-3=92"
] | Current State: 92:[42, 31, 95, 95], Operations: []
Exploring Operation: 31+95=126, Resulting Numbers: [42, 126]
Generated Node #2: [42, 126] from Operation: 31+95=126
Current State: 92:[42, 126], Operations: ['31+95=126']
Exploring Operation: 126/42=3, Resulting Numbers: [3]
3,92 equal: Goal Reached
Exploring Operation: 95-3=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
20,
86,
25,
91
] | 40 | [
"20+86=106",
"91-25=66",
"106-66=40"
] | Current State: 40:[20, 86, 25, 91], Operations: []
Exploring Operation: 20+86=106, Resulting Numbers: [25, 91, 106]
Generated Node #2: [25, 91, 106] from Operation: 20+86=106
Current State: 40:[25, 91, 106], Operations: ['20+86=106']
Exploring Operation: 91-25=66, Resulting Numbers: [106, 66]
Generated Node #3: [106, 66] from Operation: 91-25=66
Current State: 40:[106, 66], Operations: ['20+86=106', '91-25=66']
Exploring Operation: 106-66=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
79,
11,
53,
97
] | 85 | [
"79+53=132",
"132/11=12",
"97-12=85"
] | Current State: 85:[79, 11, 53, 97], Operations: []
Exploring Operation: 79+53=132, Resulting Numbers: [11, 97, 132]
Generated Node #2: [11, 97, 132] from Operation: 79+53=132
Current State: 85:[11, 97, 132], Operations: ['79+53=132']
Exploring Operation: 132/11=12, Resulting Numbers: [97, 12]
Generated Node #3: [97, 12] from Operation: 132/11=12
Current State: 85:[97, 12], Operations: ['79+53=132', '132/11=12']
Exploring Operation: 97-12=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
4,
52,
87,
57
] | 67 | [
"57-52=5",
"4*5=20",
"87-20=67"
] | Current State: 67:[4, 52, 87, 57], Operations: []
Exploring Operation: 57-52=5, Resulting Numbers: [4, 87, 5]
Generated Node #2: [4, 87, 5] from Operation: 57-52=5
Current State: 67:[4, 87, 5], Operations: ['57-52=5']
Exploring Operation: 4*5=20, Resulting Numbers: [87, 20]
Generated Node #3: [87, 20] from Operation: 4*5=20
Current State: 67:[87, 20], Operations: ['57-52=5', '4*5=20']
Exploring Operation: 87-20=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
90,
20,
6,
87
] | 66 | [
"90-87=3",
"20*3=60",
"6+60=66"
] | Current State: 66:[90, 20, 6, 87], Operations: []
Exploring Operation: 90-87=3, Resulting Numbers: [20, 6, 3]
Generated Node #2: [20, 6, 3] from Operation: 90-87=3
Current State: 66:[20, 6, 3], Operations: ['90-87=3']
Exploring Operation: 20*3=60, Resulting Numbers: [6, 60]
Generated Node #3: [6, 60] from Operation: 20*3=60
Current State: 66:[6, 60], Operations: ['90-87=3', '20*3=60']
Exploring Operation: 6+60=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
87,
5,
77,
31
] | 19 | [
"87-77=10",
"5*10=50",
"50-31=19"
] | Current State: 19:[87, 5, 77, 31], Operations: []
Exploring Operation: 87-77=10, Resulting Numbers: [5, 31, 10]
Generated Node #2: [5, 31, 10] from Operation: 87-77=10
Current State: 19:[5, 31, 10], Operations: ['87-77=10']
Exploring Operation: 5*10=50, Resulting Numbers: [31, 50]
Generated Node #3: [31, 50] from Operation: 5*10=50
Current State: 19:[31, 50], Operations: ['87-77=10', '5*10=50']
Exploring Operation: 50-31=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
42,
67,
50,
14
] | 56 | [
"42*67=2814",
"2814-14=2800",
"2800/50=56"
] | Current State: 56:[42, 67, 50, 14], Operations: []
Exploring Operation: 42*67=2814, Resulting Numbers: [50, 14, 2814]
Generated Node #2: [50, 14, 2814] from Operation: 42*67=2814
Current State: 56:[50, 14, 2814], Operations: ['42*67=2814']
Exploring Operation: 2814-14=2800, Resulting Numbers: [50, 2800]
Generated Node #3: [50, 2800] from Operation: 2814-14=2800
Current State: 56:[50, 2800], Operations: ['42*67=2814', '2814-14=2800']
Exploring Operation: 2800/50=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
57,
50,
2,
35
] | 49 | [
"57-50=7",
"2*7=14",
"35+14=49"
] | Current State: 49:[57, 50, 2, 35], Operations: []
Exploring Operation: 57-50=7, Resulting Numbers: [2, 35, 7]
Generated Node #2: [2, 35, 7] from Operation: 57-50=7
Current State: 49:[2, 35, 7], Operations: ['57-50=7']
Exploring Operation: 2*7=14, Resulting Numbers: [35, 14]
Generated Node #3: [35, 14] from Operation: 2*7=14
Current State: 49:[35, 14], Operations: ['57-50=7', '2*7=14']
Exploring Operation: 35+14=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
96,
70,
5,
16
] | 94 | [
"96-16=80",
"70/5=14",
"80+14=94"
] | Current State: 94:[96, 70, 5, 16], Operations: []
Exploring Operation: 96-16=80, Resulting Numbers: [70, 5, 80]
Generated Node #2: [70, 5, 80] from Operation: 96-16=80
Current State: 94:[70, 5, 80], Operations: ['96-16=80']
Exploring Operation: 70/5=14, Resulting Numbers: [80, 14]
Generated Node #3: [80, 14] from Operation: 70/5=14
Current State: 94:[80, 14], Operations: ['96-16=80', '70/5=14']
Exploring Operation: 80+14=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
28,
52,
47,
69
] | 58 | [
"28+52=80",
"69-47=22",
"80-22=58"
] | Current State: 58:[28, 52, 47, 69], Operations: []
Exploring Operation: 28+52=80, Resulting Numbers: [47, 69, 80]
Generated Node #2: [47, 69, 80] from Operation: 28+52=80
Current State: 58:[47, 69, 80], Operations: ['28+52=80']
Exploring Operation: 69-47=22, Resulting Numbers: [80, 22]
Generated Node #3: [80, 22] from Operation: 69-47=22
Current State: 58:[80, 22], Operations: ['28+52=80', '69-47=22']
Exploring Operation: 80-22=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
72,
57,
25,
85
] | 45 | [
"72-57=15",
"85-25=60",
"60-15=45"
] | Current State: 45:[72, 57, 25, 85], Operations: []
Exploring Operation: 72-57=15, Resulting Numbers: [25, 85, 15]
Generated Node #2: [25, 85, 15] from Operation: 72-57=15
Current State: 45:[25, 85, 15], Operations: ['72-57=15']
Exploring Operation: 85-25=60, Resulting Numbers: [15, 60]
Generated Node #3: [15, 60] from Operation: 85-25=60
Current State: 45:[15, 60], Operations: ['72-57=15', '85-25=60']
Exploring Operation: 60-15=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
8,
32,
63,
47
] | 40 | [
"32-8=24",
"63-47=16",
"24+16=40"
] | Current State: 40:[8, 32, 63, 47], Operations: []
Exploring Operation: 32-8=24, Resulting Numbers: [63, 47, 24]
Generated Node #2: [63, 47, 24] from Operation: 32-8=24
Current State: 40:[63, 47, 24], Operations: ['32-8=24']
Exploring Operation: 63-47=16, Resulting Numbers: [24, 16]
Generated Node #3: [24, 16] from Operation: 63-47=16
Current State: 40:[24, 16], Operations: ['32-8=24', '63-47=16']
Exploring Operation: 24+16=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
47,
18,
20,
20
] | 28 | [
"47-18=29",
"20/20=1",
"29-1=28"
] | Current State: 28:[47, 18, 20, 20], Operations: []
Exploring Operation: 47-18=29, Resulting Numbers: [20, 20, 29]
Generated Node #2: [20, 20, 29] from Operation: 47-18=29
Current State: 28:[20, 20, 29], Operations: ['47-18=29']
Exploring Operation: 20/20=1, Resulting Numbers: [29, 1]
Generated Node #3: [29, 1] from Operation: 20/20=1
Current State: 28:[29, 1], Operations: ['47-18=29', '20/20=1']
Exploring Operation: 29-1=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
48,
97,
13,
2
] | 34 | [
"97-48=49",
"13+2=15",
"49-15=34"
] | Current State: 34:[48, 97, 13, 2], Operations: []
Exploring Operation: 97-48=49, Resulting Numbers: [13, 2, 49]
Generated Node #2: [13, 2, 49] from Operation: 97-48=49
Current State: 34:[13, 2, 49], Operations: ['97-48=49']
Exploring Operation: 13+2=15, Resulting Numbers: [49, 15]
Generated Node #3: [49, 15] from Operation: 13+2=15
Current State: 34:[49, 15], Operations: ['97-48=49', '13+2=15']
Exploring Operation: 49-15=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
11,
45,
78,
80
] | 67 | [
"80-78=2",
"11*2=22",
"45+22=67"
] | Current State: 67:[11, 45, 78, 80], Operations: []
Exploring Operation: 80-78=2, Resulting Numbers: [11, 45, 2]
Generated Node #2: [11, 45, 2] from Operation: 80-78=2
Current State: 67:[11, 45, 2], Operations: ['80-78=2']
Exploring Operation: 11*2=22, Resulting Numbers: [45, 22]
Generated Node #3: [45, 22] from Operation: 11*2=22
Current State: 67:[45, 22], Operations: ['80-78=2', '11*2=22']
Exploring Operation: 45+22=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
70,
23,
10,
12
] | 95 | [
"70+23=93",
"12-10=2",
"93+2=95"
] | Current State: 95:[70, 23, 10, 12], Operations: []
Exploring Operation: 70+23=93, Resulting Numbers: [10, 12, 93]
Generated Node #2: [10, 12, 93] from Operation: 70+23=93
Current State: 95:[10, 12, 93], Operations: ['70+23=93']
Exploring Operation: 12-10=2, Resulting Numbers: [93, 2]
Generated Node #3: [93, 2] from Operation: 12-10=2
Current State: 95:[93, 2], Operations: ['70+23=93', '12-10=2']
Exploring Operation: 93+2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
97,
54,
45,
99
] | 96 | [
"54+45=99",
"99/99=1",
"97-1=96"
] | Current State: 96:[97, 54, 45, 99], Operations: []
Exploring Operation: 54+45=99, Resulting Numbers: [97, 99, 99]
Generated Node #2: [97, 99, 99] from Operation: 54+45=99
Current State: 96:[97, 99, 99], Operations: ['54+45=99']
Exploring Operation: 99/99=1, Resulting Numbers: [97, 1]
Generated Node #3: [97, 1] from Operation: 99/99=1
Current State: 96:[97, 1], Operations: ['54+45=99', '99/99=1']
Exploring Operation: 97-1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
44,
83,
22,
15
] | 34 | [
"44/22=2",
"83-15=68",
"68/2=34"
] | Current State: 34:[44, 83, 22, 15], Operations: []
Exploring Operation: 44/22=2, Resulting Numbers: [83, 15, 2]
Generated Node #2: [83, 15, 2] from Operation: 44/22=2
Current State: 34:[83, 15, 2], Operations: ['44/22=2']
Exploring Operation: 83-15=68, Resulting Numbers: [2, 68]
Generated Node #3: [2, 68] from Operation: 83-15=68
Current State: 34:[2, 68], Operations: ['44/22=2', '83-15=68']
Exploring Operation: 68/2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
90,
96,
1,
33
] | 87 | [
"33-1=32",
"96/32=3",
"90-3=87"
] | Current State: 87:[90, 96, 1, 33], Operations: []
Exploring Operation: 33-1=32, Resulting Numbers: [90, 96, 32]
Generated Node #2: [90, 96, 32] from Operation: 33-1=32
Current State: 87:[90, 96, 32], Operations: ['33-1=32']
Exploring Operation: 96/32=3, Resulting Numbers: [90, 3]
Generated Node #3: [90, 3] from Operation: 96/32=3
Current State: 87:[90, 3], Operations: ['33-1=32', '96/32=3']
Exploring Operation: 90-3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
53,
4,
11,
11
] | 57 | [
"53+4=57",
"11-11=0",
"57+0=57"
] | Current State: 57:[53, 4, 11, 11], Operations: []
Exploring Operation: 53+4=57, Resulting Numbers: [11, 11, 57]
Generated Node #2: [11, 11, 57] from Operation: 53+4=57
Current State: 57:[11, 11, 57], Operations: ['53+4=57']
Exploring Operation: 11-11=0, Resulting Numbers: [57, 0]
Generated Node #3: [57, 0] from Operation: 11-11=0
Current State: 57:[57, 0], Operations: ['53+4=57', '11-11=0']
Exploring Operation: 57+0=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
90,
14,
45,
7
] | 23 | [
"90/45=2",
"14+7=21",
"2+21=23"
] | Current State: 23:[90, 14, 45, 7], Operations: []
Exploring Operation: 90/45=2, Resulting Numbers: [14, 7, 2]
Generated Node #2: [14, 7, 2] from Operation: 90/45=2
Current State: 23:[14, 7, 2], Operations: ['90/45=2']
Exploring Operation: 14+7=21, Resulting Numbers: [2, 21]
Generated Node #3: [2, 21] from Operation: 14+7=21
Current State: 23:[2, 21], Operations: ['90/45=2', '14+7=21']
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
32,
71,
47,
52
] | 39 | [
"71-47=24",
"52*24=1248",
"1248/32=39"
] | Current State: 39:[32, 71, 47, 52], Operations: []
Exploring Operation: 71-47=24, Resulting Numbers: [32, 52, 24]
Generated Node #2: [32, 52, 24] from Operation: 71-47=24
Current State: 39:[32, 52, 24], Operations: ['71-47=24']
Exploring Operation: 52*24=1248, Resulting Numbers: [32, 1248]
Generated Node #3: [32, 1248] from Operation: 52*24=1248
Current State: 39:[32, 1248], Operations: ['71-47=24', '52*24=1248']
Exploring Operation: 1248/32=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
29,
28,
48,
18
] | 87 | [
"29+28=57",
"48-18=30",
"57+30=87"
] | Current State: 87:[29, 28, 48, 18], Operations: []
Exploring Operation: 29+28=57, Resulting Numbers: [48, 18, 57]
Generated Node #2: [48, 18, 57] from Operation: 29+28=57
Current State: 87:[48, 18, 57], Operations: ['29+28=57']
Exploring Operation: 48-18=30, Resulting Numbers: [57, 30]
Generated Node #3: [57, 30] from Operation: 48-18=30
Current State: 87:[57, 30], Operations: ['29+28=57', '48-18=30']
Exploring Operation: 57+30=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
99,
8,
56,
24
] | 23 | [
"99*8=792",
"792/24=33",
"56-33=23"
] | Current State: 23:[99, 8, 56, 24], Operations: []
Exploring Operation: 99*8=792, Resulting Numbers: [56, 24, 792]
Generated Node #2: [56, 24, 792] from Operation: 99*8=792
Current State: 23:[56, 24, 792], Operations: ['99*8=792']
Exploring Operation: 792/24=33, Resulting Numbers: [56, 33]
Generated Node #3: [56, 33] from Operation: 792/24=33
Current State: 23:[56, 33], Operations: ['99*8=792', '792/24=33']
Exploring Operation: 56-33=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
18,
67,
7,
29
] | 88 | [
"18*7=126",
"67-29=38",
"126-38=88"
] | Current State: 88:[18, 67, 7, 29], Operations: []
Exploring Operation: 18*7=126, Resulting Numbers: [67, 29, 126]
Generated Node #2: [67, 29, 126] from Operation: 18*7=126
Current State: 88:[67, 29, 126], Operations: ['18*7=126']
Exploring Operation: 67-29=38, Resulting Numbers: [126, 38]
Generated Node #3: [126, 38] from Operation: 67-29=38
Current State: 88:[126, 38], Operations: ['18*7=126', '67-29=38']
Exploring Operation: 126-38=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
86,
81,
61,
13
] | 53 | [
"86-81=5",
"61-13=48",
"5+48=53"
] | Current State: 53:[86, 81, 61, 13], Operations: []
Exploring Operation: 86-81=5, Resulting Numbers: [61, 13, 5]
Generated Node #2: [61, 13, 5] from Operation: 86-81=5
Current State: 53:[61, 13, 5], Operations: ['86-81=5']
Exploring Operation: 61-13=48, Resulting Numbers: [5, 48]
Generated Node #3: [5, 48] from Operation: 61-13=48
Current State: 53:[5, 48], Operations: ['86-81=5', '61-13=48']
Exploring Operation: 5+48=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
63,
47,
81,
24
] | 41 | [
"63-47=16",
"81-24=57",
"57-16=41"
] | Current State: 41:[63, 47, 81, 24], Operations: []
Exploring Operation: 63-47=16, Resulting Numbers: [81, 24, 16]
Generated Node #2: [81, 24, 16] from Operation: 63-47=16
Current State: 41:[81, 24, 16], Operations: ['63-47=16']
Exploring Operation: 81-24=57, Resulting Numbers: [16, 57]
Generated Node #3: [16, 57] from Operation: 81-24=57
Current State: 41:[16, 57], Operations: ['63-47=16', '81-24=57']
Exploring Operation: 57-16=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
84,
70,
56,
72
] | 74 | [
"84+56=140",
"140/70=2",
"72+2=74"
] | Current State: 74:[84, 70, 56, 72], Operations: []
Exploring Operation: 84+56=140, Resulting Numbers: [70, 72, 140]
Generated Node #2: [70, 72, 140] from Operation: 84+56=140
Current State: 74:[70, 72, 140], Operations: ['84+56=140']
Exploring Operation: 140/70=2, Resulting Numbers: [72, 2]
Generated Node #3: [72, 2] from Operation: 140/70=2
Current State: 74:[72, 2], Operations: ['84+56=140', '140/70=2']
Exploring Operation: 72+2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
10,
4,
31,
85
] | 68 | [
"10+4=14",
"85-31=54",
"14+54=68"
] | Current State: 68:[10, 4, 31, 85], Operations: []
Exploring Operation: 10+4=14, Resulting Numbers: [31, 85, 14]
Generated Node #2: [31, 85, 14] from Operation: 10+4=14
Current State: 68:[31, 85, 14], Operations: ['10+4=14']
Exploring Operation: 85-31=54, Resulting Numbers: [14, 54]
Generated Node #3: [14, 54] from Operation: 85-31=54
Current State: 68:[14, 54], Operations: ['10+4=14', '85-31=54']
Exploring Operation: 14+54=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
80,
20,
2,
96
] | 78 | [
"80-20=60",
"96+60=156",
"156/2=78"
] | Current State: 78:[80, 20, 2, 96], Operations: []
Exploring Operation: 80-20=60, Resulting Numbers: [2, 96, 60]
Generated Node #2: [2, 96, 60] from Operation: 80-20=60
Current State: 78:[2, 96, 60], Operations: ['80-20=60']
Exploring Operation: 96+60=156, Resulting Numbers: [2, 156]
Generated Node #3: [2, 156] from Operation: 96+60=156
Current State: 78:[2, 156], Operations: ['80-20=60', '96+60=156']
Exploring Operation: 156/2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
56,
10,
52,
25
] | 65 | [
"56-52=4",
"10*4=40",
"25+40=65"
] | Current State: 65:[56, 10, 52, 25], Operations: []
Exploring Operation: 56-52=4, Resulting Numbers: [10, 25, 4]
Generated Node #2: [10, 25, 4] from Operation: 56-52=4
Current State: 65:[10, 25, 4], Operations: ['56-52=4']
Exploring Operation: 10*4=40, Resulting Numbers: [25, 40]
Generated Node #3: [25, 40] from Operation: 10*4=40
Current State: 65:[25, 40], Operations: ['56-52=4', '10*4=40']
Exploring Operation: 25+40=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
14,
24,
65,
59
] | 10 | [
"65-59=6",
"24/6=4",
"14-4=10"
] | Current State: 10:[14, 24, 65, 59], Operations: []
Exploring Operation: 65-59=6, Resulting Numbers: [14, 24, 6]
Generated Node #2: [14, 24, 6] from Operation: 65-59=6
Current State: 10:[14, 24, 6], Operations: ['65-59=6']
Exploring Operation: 24/6=4, Resulting Numbers: [14, 4]
Generated Node #3: [14, 4] from Operation: 24/6=4
Current State: 10:[14, 4], Operations: ['65-59=6', '24/6=4']
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
25,
88,
11,
97
] | 50 | [
"88+11=99",
"99-97=2",
"25*2=50"
] | Current State: 50:[25, 88, 11, 97], Operations: []
Exploring Operation: 88+11=99, Resulting Numbers: [25, 97, 99]
Generated Node #2: [25, 97, 99] from Operation: 88+11=99
Current State: 50:[25, 97, 99], Operations: ['88+11=99']
Exploring Operation: 99-97=2, Resulting Numbers: [25, 2]
Generated Node #3: [25, 2] from Operation: 99-97=2
Current State: 50:[25, 2], Operations: ['88+11=99', '99-97=2']
Exploring Operation: 25*2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
96,
49,
26,
4
] | 47 | [
"96/4=24",
"49-26=23",
"24+23=47"
] | Current State: 47:[96, 49, 26, 4], Operations: []
Exploring Operation: 96/4=24, Resulting Numbers: [49, 26, 24]
Generated Node #2: [49, 26, 24] from Operation: 96/4=24
Current State: 47:[49, 26, 24], Operations: ['96/4=24']
Exploring Operation: 49-26=23, Resulting Numbers: [24, 23]
Generated Node #3: [24, 23] from Operation: 49-26=23
Current State: 47:[24, 23], Operations: ['96/4=24', '49-26=23']
Exploring Operation: 24+23=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
23,
70,
80,
66
] | 28 | [
"80-66=14",
"70/14=5",
"23+5=28"
] | Current State: 28:[23, 70, 80, 66], Operations: []
Exploring Operation: 80-66=14, Resulting Numbers: [23, 70, 14]
Generated Node #2: [23, 70, 14] from Operation: 80-66=14
Current State: 28:[23, 70, 14], Operations: ['80-66=14']
Exploring Operation: 70/14=5, Resulting Numbers: [23, 5]
Generated Node #3: [23, 5] from Operation: 70/14=5
Current State: 28:[23, 5], Operations: ['80-66=14', '70/14=5']
Exploring Operation: 23+5=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
46,
7,
6,
31
] | 66 | [
"46+31=77",
"77/7=11",
"6*11=66"
] | Current State: 66:[46, 7, 6, 31], Operations: []
Exploring Operation: 46+31=77, Resulting Numbers: [7, 6, 77]
Generated Node #2: [7, 6, 77] from Operation: 46+31=77
Current State: 66:[7, 6, 77], Operations: ['46+31=77']
Exploring Operation: 77/7=11, Resulting Numbers: [6, 11]
Generated Node #3: [6, 11] from Operation: 77/7=11
Current State: 66:[6, 11], Operations: ['46+31=77', '77/7=11']
Exploring Operation: 6*11=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
56,
61,
95,
4
] | 80 | [
"95-61=34",
"4*34=136",
"136-56=80"
] | Current State: 80:[56, 61, 95, 4], Operations: []
Exploring Operation: 95-61=34, Resulting Numbers: [56, 4, 34]
Generated Node #2: [56, 4, 34] from Operation: 95-61=34
Current State: 80:[56, 4, 34], Operations: ['95-61=34']
Exploring Operation: 4*34=136, Resulting Numbers: [56, 136]
Generated Node #3: [56, 136] from Operation: 4*34=136
Current State: 80:[56, 136], Operations: ['95-61=34', '4*34=136']
Exploring Operation: 136-56=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
80,
16,
38,
53
] | 96 | [
"80/16=5",
"38+53=91",
"5+91=96"
] | Current State: 96:[80, 16, 38, 53], Operations: []
Exploring Operation: 80/16=5, Resulting Numbers: [38, 53, 5]
Generated Node #2: [38, 53, 5] from Operation: 80/16=5
Current State: 96:[38, 53, 5], Operations: ['80/16=5']
Exploring Operation: 38+53=91, Resulting Numbers: [5, 91]
Generated Node #3: [5, 91] from Operation: 38+53=91
Current State: 96:[5, 91], Operations: ['80/16=5', '38+53=91']
Exploring Operation: 5+91=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
18,
63,
70,
83
] | 43 | [
"70-63=7",
"18*7=126",
"126-83=43"
] | Current State: 43:[18, 63, 70, 83], Operations: []
Exploring Operation: 70-63=7, Resulting Numbers: [18, 83, 7]
Generated Node #2: [18, 83, 7] from Operation: 70-63=7
Current State: 43:[18, 83, 7], Operations: ['70-63=7']
Exploring Operation: 18*7=126, Resulting Numbers: [83, 126]
Generated Node #3: [83, 126] from Operation: 18*7=126
Current State: 43:[83, 126], Operations: ['70-63=7', '18*7=126']
Exploring Operation: 126-83=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
6,
88,
17,
18
] | 30 | [
"6*88=528",
"528-18=510",
"510/17=30"
] | Current State: 30:[6, 88, 17, 18], Operations: []
Exploring Operation: 6*88=528, Resulting Numbers: [17, 18, 528]
Generated Node #2: [17, 18, 528] from Operation: 6*88=528
Current State: 30:[17, 18, 528], Operations: ['6*88=528']
Exploring Operation: 528-18=510, Resulting Numbers: [17, 510]
Generated Node #3: [17, 510] from Operation: 528-18=510
Current State: 30:[17, 510], Operations: ['6*88=528', '528-18=510']
Exploring Operation: 510/17=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
25,
58,
15,
87
] | 39 | [
"58-25=33",
"87-15=72",
"72-33=39"
] | Current State: 39:[25, 58, 15, 87], Operations: []
Exploring Operation: 58-25=33, Resulting Numbers: [15, 87, 33]
Generated Node #2: [15, 87, 33] from Operation: 58-25=33
Current State: 39:[15, 87, 33], Operations: ['58-25=33']
Exploring Operation: 87-15=72, Resulting Numbers: [33, 72]
Generated Node #3: [33, 72] from Operation: 87-15=72
Current State: 39:[33, 72], Operations: ['58-25=33', '87-15=72']
Exploring Operation: 72-33=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
85,
17,
12,
54
] | 26 | [
"85-17=68",
"54-12=42",
"68-42=26"
] | Current State: 26:[85, 17, 12, 54], Operations: []
Exploring Operation: 85-17=68, Resulting Numbers: [12, 54, 68]
Generated Node #2: [12, 54, 68] from Operation: 85-17=68
Current State: 26:[12, 54, 68], Operations: ['85-17=68']
Exploring Operation: 54-12=42, Resulting Numbers: [68, 42]
Generated Node #3: [68, 42] from Operation: 54-12=42
Current State: 26:[68, 42], Operations: ['85-17=68', '54-12=42']
Exploring Operation: 68-42=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
74,
39,
28,
68
] | 26 | [
"74+28=102",
"39*68=2652",
"2652/102=26"
] | Current State: 26:[74, 39, 28, 68], Operations: []
Exploring Operation: 74+28=102, Resulting Numbers: [39, 68, 102]
Generated Node #2: [39, 68, 102] from Operation: 74+28=102
Current State: 26:[39, 68, 102], Operations: ['74+28=102']
Exploring Operation: 39*68=2652, Resulting Numbers: [102, 2652]
Generated Node #3: [102, 2652] from Operation: 39*68=2652
Current State: 26:[102, 2652], Operations: ['74+28=102', '39*68=2652']
Exploring Operation: 2652/102=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
34,
48,
51,
14
] | 17 | [
"34+48=82",
"51+14=65",
"82-65=17"
] | Current State: 17:[34, 48, 51, 14], Operations: []
Exploring Operation: 34+48=82, Resulting Numbers: [51, 14, 82]
Generated Node #2: [51, 14, 82] from Operation: 34+48=82
Current State: 17:[51, 14, 82], Operations: ['34+48=82']
Exploring Operation: 51+14=65, Resulting Numbers: [82, 65]
Generated Node #3: [82, 65] from Operation: 51+14=65
Current State: 17:[82, 65], Operations: ['34+48=82', '51+14=65']
Exploring Operation: 82-65=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
31,
55,
24,
46
] | 94 | [
"55-31=24",
"24+46=70",
"24+70=94"
] | Current State: 94:[31, 55, 24, 46], Operations: []
Exploring Operation: 55-31=24, Resulting Numbers: [24, 46, 24]
Generated Node #2: [24, 46, 24] from Operation: 55-31=24
Current State: 94:[24, 46, 24], Operations: ['55-31=24']
Exploring Operation: 24+46=70, Resulting Numbers: [70]
70,94 equal: Goal Reached
Exploring Operation: 24+70=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
16,
50,
8,
21
] | 37 | [
"16+50=66",
"8+21=29",
"66-29=37"
] | Current State: 37:[16, 50, 8, 21], Operations: []
Exploring Operation: 16+50=66, Resulting Numbers: [8, 21, 66]
Generated Node #2: [8, 21, 66] from Operation: 16+50=66
Current State: 37:[8, 21, 66], Operations: ['16+50=66']
Exploring Operation: 8+21=29, Resulting Numbers: [66, 29]
Generated Node #3: [66, 29] from Operation: 8+21=29
Current State: 37:[66, 29], Operations: ['16+50=66', '8+21=29']
Exploring Operation: 66-29=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
90,
88,
80,
78
] | 89 | [
"90+88=178",
"80-78=2",
"178/2=89"
] | Current State: 89:[90, 88, 80, 78], Operations: []
Exploring Operation: 90+88=178, Resulting Numbers: [80, 78, 178]
Generated Node #2: [80, 78, 178] from Operation: 90+88=178
Current State: 89:[80, 78, 178], Operations: ['90+88=178']
Exploring Operation: 80-78=2, Resulting Numbers: [178, 2]
Generated Node #3: [178, 2] from Operation: 80-78=2
Current State: 89:[178, 2], Operations: ['90+88=178', '80-78=2']
Exploring Operation: 178/2=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
2,
10,
31,
85
] | 34 | [
"2*10=20",
"85-31=54",
"54-20=34"
] | Current State: 34:[2, 10, 31, 85], Operations: []
Exploring Operation: 2*10=20, Resulting Numbers: [31, 85, 20]
Generated Node #2: [31, 85, 20] from Operation: 2*10=20
Current State: 34:[31, 85, 20], Operations: ['2*10=20']
Exploring Operation: 85-31=54, Resulting Numbers: [20, 54]
Generated Node #3: [20, 54] from Operation: 85-31=54
Current State: 34:[20, 54], Operations: ['2*10=20', '85-31=54']
Exploring Operation: 54-20=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
17,
76,
52,
33
] | 78 | [
"76-17=59",
"52-33=19",
"59+19=78"
] | Current State: 78:[17, 76, 52, 33], Operations: []
Exploring Operation: 76-17=59, Resulting Numbers: [52, 33, 59]
Generated Node #2: [52, 33, 59] from Operation: 76-17=59
Current State: 78:[52, 33, 59], Operations: ['76-17=59']
Exploring Operation: 52-33=19, Resulting Numbers: [59, 19]
Generated Node #3: [59, 19] from Operation: 52-33=19
Current State: 78:[59, 19], Operations: ['76-17=59', '52-33=19']
Exploring Operation: 59+19=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
55,
47,
4,
15
] | 47 | [
"55-47=8",
"4*8=32",
"15+32=47"
] | Current State: 47:[55, 47, 4, 15], Operations: []
Exploring Operation: 55-47=8, Resulting Numbers: [4, 15, 8]
Generated Node #2: [4, 15, 8] from Operation: 55-47=8
Current State: 47:[4, 15, 8], Operations: ['55-47=8']
Exploring Operation: 4*8=32, Resulting Numbers: [15, 32]
Generated Node #3: [15, 32] from Operation: 4*8=32
Current State: 47:[15, 32], Operations: ['55-47=8', '4*8=32']
Exploring Operation: 15+32=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
62,
73,
30,
28
] | 84 | [
"30-28=2",
"73*2=146",
"146-62=84"
] | Current State: 84:[62, 73, 30, 28], Operations: []
Exploring Operation: 30-28=2, Resulting Numbers: [62, 73, 2]
Generated Node #2: [62, 73, 2] from Operation: 30-28=2
Current State: 84:[62, 73, 2], Operations: ['30-28=2']
Exploring Operation: 73*2=146, Resulting Numbers: [62, 146]
Generated Node #3: [62, 146] from Operation: 73*2=146
Current State: 84:[62, 146], Operations: ['30-28=2', '73*2=146']
Exploring Operation: 146-62=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
63,
40,
44,
96
] | 72 | [
"63*96=6048",
"40+44=84",
"6048/84=72"
] | Current State: 72:[63, 40, 44, 96], Operations: []
Exploring Operation: 63*96=6048, Resulting Numbers: [40, 44, 6048]
Generated Node #2: [40, 44, 6048] from Operation: 63*96=6048
Current State: 72:[40, 44, 6048], Operations: ['63*96=6048']
Exploring Operation: 40+44=84, Resulting Numbers: [6048, 84]
Generated Node #3: [6048, 84] from Operation: 40+44=84
Current State: 72:[6048, 84], Operations: ['63*96=6048', '40+44=84']
Exploring Operation: 6048/84=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
49,
7,
66,
84
] | 77 | [
"84-66=18",
"7*18=126",
"126-49=77"
] | Current State: 77:[49, 7, 66, 84], Operations: []
Exploring Operation: 84-66=18, Resulting Numbers: [49, 7, 18]
Generated Node #2: [49, 7, 18] from Operation: 84-66=18
Current State: 77:[49, 7, 18], Operations: ['84-66=18']
Exploring Operation: 7*18=126, Resulting Numbers: [49, 126]
Generated Node #3: [49, 126] from Operation: 7*18=126
Current State: 77:[49, 126], Operations: ['84-66=18', '7*18=126']
Exploring Operation: 126-49=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
40,
65,
10,
24
] | 29 | [
"65*24=1560",
"1560/40=39",
"39-10=29"
] | Current State: 29:[40, 65, 10, 24], Operations: []
Exploring Operation: 65*24=1560, Resulting Numbers: [40, 10, 1560]
Generated Node #2: [40, 10, 1560] from Operation: 65*24=1560
Current State: 29:[40, 10, 1560], Operations: ['65*24=1560']
Exploring Operation: 1560/40=39, Resulting Numbers: [10, 39]
Generated Node #3: [10, 39] from Operation: 1560/40=39
Current State: 29:[10, 39], Operations: ['65*24=1560', '1560/40=39']
Exploring Operation: 39-10=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
40,
88,
55,
51
] | 52 | [
"88-40=48",
"55-51=4",
"48+4=52"
] | Current State: 52:[40, 88, 55, 51], Operations: []
Exploring Operation: 88-40=48, Resulting Numbers: [55, 51, 48]
Generated Node #2: [55, 51, 48] from Operation: 88-40=48
Current State: 52:[55, 51, 48], Operations: ['88-40=48']
Exploring Operation: 55-51=4, Resulting Numbers: [48, 4]
Generated Node #3: [48, 4] from Operation: 55-51=4
Current State: 52:[48, 4], Operations: ['88-40=48', '55-51=4']
Exploring Operation: 48+4=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
41,
88,
68,
54
] | 43 | [
"88-54=34",
"68/34=2",
"41+2=43"
] | Current State: 43:[41, 88, 68, 54], Operations: []
Exploring Operation: 88-54=34, Resulting Numbers: [41, 68, 34]
Generated Node #2: [41, 68, 34] from Operation: 88-54=34
Current State: 43:[41, 68, 34], Operations: ['88-54=34']
Exploring Operation: 68/34=2, Resulting Numbers: [41, 2]
Generated Node #3: [41, 2] from Operation: 68/34=2
Current State: 43:[41, 2], Operations: ['88-54=34', '68/34=2']
Exploring Operation: 41+2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
3,
84,
59,
88
] | 60 | [
"3+84=87",
"59+88=147",
"147-87=60"
] | Current State: 60:[3, 84, 59, 88], Operations: []
Exploring Operation: 3+84=87, Resulting Numbers: [59, 88, 87]
Generated Node #2: [59, 88, 87] from Operation: 3+84=87
Current State: 60:[59, 88, 87], Operations: ['3+84=87']
Exploring Operation: 59+88=147, Resulting Numbers: [87, 147]
Generated Node #3: [87, 147] from Operation: 59+88=147
Current State: 60:[87, 147], Operations: ['3+84=87', '59+88=147']
Exploring Operation: 147-87=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
11,
71,
17,
77
] | 54 | [
"11*77=847",
"71+847=918",
"918/17=54"
] | Current State: 54:[11, 71, 17, 77], Operations: []
Exploring Operation: 11*77=847, Resulting Numbers: [71, 17, 847]
Generated Node #2: [71, 17, 847] from Operation: 11*77=847
Current State: 54:[71, 17, 847], Operations: ['11*77=847']
Exploring Operation: 71+847=918, Resulting Numbers: [17, 918]
Generated Node #3: [17, 918] from Operation: 71+847=918
Current State: 54:[17, 918], Operations: ['11*77=847', '71+847=918']
Exploring Operation: 918/17=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
15,
27,
87,
44
] | 89 | [
"15+27=42",
"87+44=131",
"131-42=89"
] | Current State: 89:[15, 27, 87, 44], Operations: []
Exploring Operation: 15+27=42, Resulting Numbers: [87, 44, 42]
Generated Node #2: [87, 44, 42] from Operation: 15+27=42
Current State: 89:[87, 44, 42], Operations: ['15+27=42']
Exploring Operation: 87+44=131, Resulting Numbers: [42, 131]
Generated Node #3: [42, 131] from Operation: 87+44=131
Current State: 89:[42, 131], Operations: ['15+27=42', '87+44=131']
Exploring Operation: 131-42=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
73,
99,
82,
49
] | 41 | [
"73+99=172",
"82+49=131",
"172-131=41"
] | Current State: 41:[73, 99, 82, 49], Operations: []
Exploring Operation: 73+99=172, Resulting Numbers: [82, 49, 172]
Generated Node #2: [82, 49, 172] from Operation: 73+99=172
Current State: 41:[82, 49, 172], Operations: ['73+99=172']
Exploring Operation: 82+49=131, Resulting Numbers: [172, 131]
Generated Node #3: [172, 131] from Operation: 82+49=131
Current State: 41:[172, 131], Operations: ['73+99=172', '82+49=131']
Exploring Operation: 172-131=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
22,
62,
99,
7
] | 52 | [
"62-22=40",
"99-7=92",
"92-40=52"
] | Current State: 52:[22, 62, 99, 7], Operations: []
Exploring Operation: 62-22=40, Resulting Numbers: [99, 7, 40]
Generated Node #2: [99, 7, 40] from Operation: 62-22=40
Current State: 52:[99, 7, 40], Operations: ['62-22=40']
Exploring Operation: 99-7=92, Resulting Numbers: [40, 92]
Generated Node #3: [40, 92] from Operation: 99-7=92
Current State: 52:[40, 92], Operations: ['62-22=40', '99-7=92']
Exploring Operation: 92-40=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
48,
52,
2,
43
] | 49 | [
"52-48=4",
"2+43=45",
"4+45=49"
] | Current State: 49:[48, 52, 2, 43], Operations: []
Exploring Operation: 52-48=4, Resulting Numbers: [2, 43, 4]
Generated Node #2: [2, 43, 4] from Operation: 52-48=4
Current State: 49:[2, 43, 4], Operations: ['52-48=4']
Exploring Operation: 2+43=45, Resulting Numbers: [4, 45]
Generated Node #3: [4, 45] from Operation: 2+43=45
Current State: 49:[4, 45], Operations: ['52-48=4', '2+43=45']
Exploring Operation: 4+45=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
10,
23,
20,
18
] | 35 | [
"10+23=33",
"20-18=2",
"33+2=35"
] | Current State: 35:[10, 23, 20, 18], Operations: []
Exploring Operation: 10+23=33, Resulting Numbers: [20, 18, 33]
Generated Node #2: [20, 18, 33] from Operation: 10+23=33
Current State: 35:[20, 18, 33], Operations: ['10+23=33']
Exploring Operation: 20-18=2, Resulting Numbers: [33, 2]
Generated Node #3: [33, 2] from Operation: 20-18=2
Current State: 35:[33, 2], Operations: ['10+23=33', '20-18=2']
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
22,
68,
80,
31
] | 95 | [
"68-22=46",
"80-31=49",
"46+49=95"
] | Current State: 95:[22, 68, 80, 31], Operations: []
Exploring Operation: 68-22=46, Resulting Numbers: [80, 31, 46]
Generated Node #2: [80, 31, 46] from Operation: 68-22=46
Current State: 95:[80, 31, 46], Operations: ['68-22=46']
Exploring Operation: 80-31=49, Resulting Numbers: [46, 49]
Generated Node #3: [46, 49] from Operation: 80-31=49
Current State: 95:[46, 49], Operations: ['68-22=46', '80-31=49']
Exploring Operation: 46+49=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
5,
17,
48,
68
] | 55 | [
"17+48=65",
"65/5=13",
"68-13=55"
] | Current State: 55:[5, 17, 48, 68], Operations: []
Exploring Operation: 17+48=65, Resulting Numbers: [5, 68, 65]
Generated Node #2: [5, 68, 65] from Operation: 17+48=65
Current State: 55:[5, 68, 65], Operations: ['17+48=65']
Exploring Operation: 65/5=13, Resulting Numbers: [68, 13]
Generated Node #3: [68, 13] from Operation: 65/5=13
Current State: 55:[68, 13], Operations: ['17+48=65', '65/5=13']
Exploring Operation: 68-13=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
92,
57,
90,
89
] | 30 | [
"92+57=149",
"90+89=179",
"179-149=30"
] | Current State: 30:[92, 57, 90, 89], Operations: []
Exploring Operation: 92+57=149, Resulting Numbers: [90, 89, 149]
Generated Node #2: [90, 89, 149] from Operation: 92+57=149
Current State: 30:[90, 89, 149], Operations: ['92+57=149']
Exploring Operation: 90+89=179, Resulting Numbers: [149, 179]
Generated Node #3: [149, 179] from Operation: 90+89=179
Current State: 30:[149, 179], Operations: ['92+57=149', '90+89=179']
Exploring Operation: 179-149=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
43,
90,
48,
51
] | 15 | [
"51-43=8",
"90*8=720",
"720/48=15"
] | Current State: 15:[43, 90, 48, 51], Operations: []
Exploring Operation: 51-43=8, Resulting Numbers: [90, 48, 8]
Generated Node #2: [90, 48, 8] from Operation: 51-43=8
Current State: 15:[90, 48, 8], Operations: ['51-43=8']
Exploring Operation: 90*8=720, Resulting Numbers: [48, 720]
Generated Node #3: [48, 720] from Operation: 90*8=720
Current State: 15:[48, 720], Operations: ['51-43=8', '90*8=720']
Exploring Operation: 720/48=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
46,
82,
58,
73
] | 51 | [
"82-46=36",
"73-58=15",
"36+15=51"
] | Current State: 51:[46, 82, 58, 73], Operations: []
Exploring Operation: 82-46=36, Resulting Numbers: [58, 73, 36]
Generated Node #2: [58, 73, 36] from Operation: 82-46=36
Current State: 51:[58, 73, 36], Operations: ['82-46=36']
Exploring Operation: 73-58=15, Resulting Numbers: [36, 15]
Generated Node #3: [36, 15] from Operation: 73-58=15
Current State: 51:[36, 15], Operations: ['82-46=36', '73-58=15']
Exploring Operation: 36+15=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
77,
80,
49,
46
] | 93 | [
"77*49=3773",
"80*46=3680",
"3773-3680=93"
] | Current State: 93:[77, 80, 49, 46], Operations: []
Exploring Operation: 77*49=3773, Resulting Numbers: [80, 46, 3773]
Generated Node #2: [80, 46, 3773] from Operation: 77*49=3773
Current State: 93:[80, 46, 3773], Operations: ['77*49=3773']
Exploring Operation: 80*46=3680, Resulting Numbers: [3773, 3680]
Generated Node #3: [3773, 3680] from Operation: 80*46=3680
Current State: 93:[3773, 3680], Operations: ['77*49=3773', '80*46=3680']
Exploring Operation: 3773-3680=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
24,
9,
33,
54
] | 15 | [
"33-24=9",
"54/9=6",
"9+6=15"
] | Current State: 15:[24, 9, 33, 54], Operations: []
Exploring Operation: 33-24=9, Resulting Numbers: [9, 54, 9]
Generated Node #2: [9, 54, 9] from Operation: 33-24=9
Current State: 15:[9, 54, 9], Operations: ['33-24=9']
Exploring Operation: 54/9=6, Resulting Numbers: [6]
6,15 equal: Goal Reached
Exploring Operation: 9+6=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
9,
77,
13,
3
] | 70 | [
"9+77=86",
"13+3=16",
"86-16=70"
] | Current State: 70:[9, 77, 13, 3], Operations: []
Exploring Operation: 9+77=86, Resulting Numbers: [13, 3, 86]
Generated Node #2: [13, 3, 86] from Operation: 9+77=86
Current State: 70:[13, 3, 86], Operations: ['9+77=86']
Exploring Operation: 13+3=16, Resulting Numbers: [86, 16]
Generated Node #3: [86, 16] from Operation: 13+3=16
Current State: 70:[86, 16], Operations: ['9+77=86', '13+3=16']
Exploring Operation: 86-16=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
9,
40,
15,
48
] | 57 | [
"48-40=8",
"9*8=72",
"72-15=57"
] | Current State: 57:[9, 40, 15, 48], Operations: []
Exploring Operation: 48-40=8, Resulting Numbers: [9, 15, 8]
Generated Node #2: [9, 15, 8] from Operation: 48-40=8
Current State: 57:[9, 15, 8], Operations: ['48-40=8']
Exploring Operation: 9*8=72, Resulting Numbers: [15, 72]
Generated Node #3: [15, 72] from Operation: 9*8=72
Current State: 57:[15, 72], Operations: ['48-40=8', '9*8=72']
Exploring Operation: 72-15=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
41,
17,
79,
75
] | 28 | [
"41-17=24",
"79-75=4",
"24+4=28"
] | Current State: 28:[41, 17, 79, 75], Operations: []
Exploring Operation: 41-17=24, Resulting Numbers: [79, 75, 24]
Generated Node #2: [79, 75, 24] from Operation: 41-17=24
Current State: 28:[79, 75, 24], Operations: ['41-17=24']
Exploring Operation: 79-75=4, Resulting Numbers: [24, 4]
Generated Node #3: [24, 4] from Operation: 79-75=4
Current State: 28:[24, 4], Operations: ['41-17=24', '79-75=4']
Exploring Operation: 24+4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
63,
28,
44,
66
] | 19 | [
"63+28=91",
"44+66=110",
"110-91=19"
] | Current State: 19:[63, 28, 44, 66], Operations: []
Exploring Operation: 63+28=91, Resulting Numbers: [44, 66, 91]
Generated Node #2: [44, 66, 91] from Operation: 63+28=91
Current State: 19:[44, 66, 91], Operations: ['63+28=91']
Exploring Operation: 44+66=110, Resulting Numbers: [91, 110]
Generated Node #3: [91, 110] from Operation: 44+66=110
Current State: 19:[91, 110], Operations: ['63+28=91', '44+66=110']
Exploring Operation: 110-91=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
26,
30,
19,
34
] | 60 | [
"30-26=4",
"34-19=15",
"4*15=60"
] | Current State: 60:[26, 30, 19, 34], Operations: []
Exploring Operation: 30-26=4, Resulting Numbers: [19, 34, 4]
Generated Node #2: [19, 34, 4] from Operation: 30-26=4
Current State: 60:[19, 34, 4], Operations: ['30-26=4']
Exploring Operation: 34-19=15, Resulting Numbers: [4, 15]
Generated Node #3: [4, 15] from Operation: 34-19=15
Current State: 60:[4, 15], Operations: ['30-26=4', '34-19=15']
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
68,
63,
42,
74
] | 28 | [
"68*63=4284",
"4284/42=102",
"102-74=28"
] | Current State: 28:[68, 63, 42, 74], Operations: []
Exploring Operation: 68*63=4284, Resulting Numbers: [42, 74, 4284]
Generated Node #2: [42, 74, 4284] from Operation: 68*63=4284
Current State: 28:[42, 74, 4284], Operations: ['68*63=4284']
Exploring Operation: 4284/42=102, Resulting Numbers: [74, 102]
Generated Node #3: [74, 102] from Operation: 4284/42=102
Current State: 28:[74, 102], Operations: ['68*63=4284', '4284/42=102']
Exploring Operation: 102-74=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
81,
99,
2,
10
] | 20 | [
"81+99=180",
"180/10=18",
"2+18=20"
] | Current State: 20:[81, 99, 2, 10], Operations: []
Exploring Operation: 81+99=180, Resulting Numbers: [2, 10, 180]
Generated Node #2: [2, 10, 180] from Operation: 81+99=180
Current State: 20:[2, 10, 180], Operations: ['81+99=180']
Exploring Operation: 180/10=18, Resulting Numbers: [2, 18]
Generated Node #3: [2, 18] from Operation: 180/10=18
Current State: 20:[2, 18], Operations: ['81+99=180', '180/10=18']
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
6,
87,
56,
99
] | 58 | [
"99-87=12",
"12/6=2",
"56+2=58"
] | Current State: 58:[6, 87, 56, 99], Operations: []
Exploring Operation: 99-87=12, Resulting Numbers: [6, 56, 12]
Generated Node #2: [6, 56, 12] from Operation: 99-87=12
Current State: 58:[6, 56, 12], Operations: ['99-87=12']
Exploring Operation: 12/6=2, Resulting Numbers: [56, 2]
Generated Node #3: [56, 2] from Operation: 12/6=2
Current State: 58:[56, 2], Operations: ['99-87=12', '12/6=2']
Exploring Operation: 56+2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
89,
95,
17,
7
] | 60 | [
"95-89=6",
"17-7=10",
"6*10=60"
] | Current State: 60:[89, 95, 17, 7], Operations: []
Exploring Operation: 95-89=6, Resulting Numbers: [17, 7, 6]
Generated Node #2: [17, 7, 6] from Operation: 95-89=6
Current State: 60:[17, 7, 6], Operations: ['95-89=6']
Exploring Operation: 17-7=10, Resulting Numbers: [6, 10]
Generated Node #3: [6, 10] from Operation: 17-7=10
Current State: 60:[6, 10], Operations: ['95-89=6', '17-7=10']
Exploring Operation: 6*10=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
8,
15,
33,
43
] | 70 | [
"15-8=7",
"43-33=10",
"7*10=70"
] | Current State: 70:[8, 15, 33, 43], Operations: []
Exploring Operation: 15-8=7, Resulting Numbers: [33, 43, 7]
Generated Node #2: [33, 43, 7] from Operation: 15-8=7
Current State: 70:[33, 43, 7], Operations: ['15-8=7']
Exploring Operation: 43-33=10, Resulting Numbers: [7, 10]
Generated Node #3: [7, 10] from Operation: 43-33=10
Current State: 70:[7, 10], Operations: ['15-8=7', '43-33=10']
Exploring Operation: 7*10=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
65,
80,
75,
90
] | 95 | [
"80-65=15",
"75/15=5",
"90+5=95"
] | Current State: 95:[65, 80, 75, 90], Operations: []
Exploring Operation: 80-65=15, Resulting Numbers: [75, 90, 15]
Generated Node #2: [75, 90, 15] from Operation: 80-65=15
Current State: 95:[75, 90, 15], Operations: ['80-65=15']
Exploring Operation: 75/15=5, Resulting Numbers: [90, 5]
Generated Node #3: [90, 5] from Operation: 75/15=5
Current State: 95:[90, 5], Operations: ['80-65=15', '75/15=5']
Exploring Operation: 90+5=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
3,
60,
12,
89
] | 55 | [
"60-12=48",
"3*48=144",
"144-89=55"
] | Current State: 55:[3, 60, 12, 89], Operations: []
Exploring Operation: 60-12=48, Resulting Numbers: [3, 89, 48]
Generated Node #2: [3, 89, 48] from Operation: 60-12=48
Current State: 55:[3, 89, 48], Operations: ['60-12=48']
Exploring Operation: 3*48=144, Resulting Numbers: [89, 144]
Generated Node #3: [89, 144] from Operation: 3*48=144
Current State: 55:[89, 144], Operations: ['60-12=48', '3*48=144']
Exploring Operation: 144-89=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
9,
41,
82,
39
] | 87 | [
"82/41=2",
"39*2=78",
"9+78=87"
] | Current State: 87:[9, 41, 82, 39], Operations: []
Exploring Operation: 82/41=2, Resulting Numbers: [9, 39, 2]
Generated Node #2: [9, 39, 2] from Operation: 82/41=2
Current State: 87:[9, 39, 2], Operations: ['82/41=2']
Exploring Operation: 39*2=78, Resulting Numbers: [9, 78]
Generated Node #3: [9, 78] from Operation: 39*2=78
Current State: 87:[9, 78], Operations: ['82/41=2', '39*2=78']
Exploring Operation: 9+78=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
3,
51,
96,
74
] | 76 | [
"3+51=54",
"96-74=22",
"54+22=76"
] | Current State: 76:[3, 51, 96, 74], Operations: []
Exploring Operation: 3+51=54, Resulting Numbers: [96, 74, 54]
Generated Node #2: [96, 74, 54] from Operation: 3+51=54
Current State: 76:[96, 74, 54], Operations: ['3+51=54']
Exploring Operation: 96-74=22, Resulting Numbers: [54, 22]
Generated Node #3: [54, 22] from Operation: 96-74=22
Current State: 76:[54, 22], Operations: ['3+51=54', '96-74=22']
Exploring Operation: 54+22=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
76,
62,
19,
12
] | 60 | [
"76-62=14",
"19-14=5",
"12*5=60"
] | Current State: 60:[76, 62, 19, 12], Operations: []
Exploring Operation: 76-62=14, Resulting Numbers: [19, 12, 14]
Generated Node #2: [19, 12, 14] from Operation: 76-62=14
Current State: 60:[19, 12, 14], Operations: ['76-62=14']
Exploring Operation: 19-14=5, Resulting Numbers: [12, 5]
Generated Node #3: [12, 5] from Operation: 19-14=5
Current State: 60:[12, 5], Operations: ['76-62=14', '19-14=5']
Exploring Operation: 12*5=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
74,
31,
61,
97
] | 53 | [
"74+31=105",
"61+97=158",
"158-105=53"
] | Current State: 53:[74, 31, 61, 97], Operations: []
Exploring Operation: 74+31=105, Resulting Numbers: [61, 97, 105]
Generated Node #2: [61, 97, 105] from Operation: 74+31=105
Current State: 53:[61, 97, 105], Operations: ['74+31=105']
Exploring Operation: 61+97=158, Resulting Numbers: [105, 158]
Generated Node #3: [105, 158] from Operation: 61+97=158
Current State: 53:[105, 158], Operations: ['74+31=105', '61+97=158']
Exploring Operation: 158-105=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
54,
56,
28,
17
] | 31 | [
"56-54=2",
"28/2=14",
"17+14=31"
] | Current State: 31:[54, 56, 28, 17], Operations: []
Exploring Operation: 56-54=2, Resulting Numbers: [28, 17, 2]
Generated Node #2: [28, 17, 2] from Operation: 56-54=2
Current State: 31:[28, 17, 2], Operations: ['56-54=2']
Exploring Operation: 28/2=14, Resulting Numbers: [17, 14]
Generated Node #3: [17, 14] from Operation: 28/2=14
Current State: 31:[17, 14], Operations: ['56-54=2', '28/2=14']
Exploring Operation: 17+14=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
81,
2,
34,
26
] | 68 | [
"81-34=47",
"2*47=94",
"94-26=68"
] | Current State: 68:[81, 2, 34, 26], Operations: []
Exploring Operation: 81-34=47, Resulting Numbers: [2, 26, 47]
Generated Node #2: [2, 26, 47] from Operation: 81-34=47
Current State: 68:[2, 26, 47], Operations: ['81-34=47']
Exploring Operation: 2*47=94, Resulting Numbers: [26, 94]
Generated Node #3: [26, 94] from Operation: 2*47=94
Current State: 68:[26, 94], Operations: ['81-34=47', '2*47=94']
Exploring Operation: 94-26=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
69,
60,
17,
69
] | 44 | [
"69/69=1",
"60-17=43",
"1+43=44"
] | Current State: 44:[69, 60, 17, 69], Operations: []
Exploring Operation: 69/69=1, Resulting Numbers: [60, 17, 1]
Generated Node #2: [60, 17, 1] from Operation: 69/69=1
Current State: 44:[60, 17, 1], Operations: ['69/69=1']
Exploring Operation: 60-17=43, Resulting Numbers: [1, 43]
Generated Node #3: [1, 43] from Operation: 60-17=43
Current State: 44:[1, 43], Operations: ['69/69=1', '60-17=43']
Exploring Operation: 1+43=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
61,
81,
22,
1
] | 41 | [
"81-61=20",
"22-1=21",
"20+21=41"
] | Current State: 41:[61, 81, 22, 1], Operations: []
Exploring Operation: 81-61=20, Resulting Numbers: [22, 1, 20]
Generated Node #2: [22, 1, 20] from Operation: 81-61=20
Current State: 41:[22, 1, 20], Operations: ['81-61=20']
Exploring Operation: 22-1=21, Resulting Numbers: [20, 21]
Generated Node #3: [20, 21] from Operation: 22-1=21
Current State: 41:[20, 21], Operations: ['81-61=20', '22-1=21']
Exploring Operation: 20+21=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
93,
55,
7,
78
] | 47 | [
"93-55=38",
"7+78=85",
"85-38=47"
] | Current State: 47:[93, 55, 7, 78], Operations: []
Exploring Operation: 93-55=38, Resulting Numbers: [7, 78, 38]
Generated Node #2: [7, 78, 38] from Operation: 93-55=38
Current State: 47:[7, 78, 38], Operations: ['93-55=38']
Exploring Operation: 7+78=85, Resulting Numbers: [38, 85]
Generated Node #3: [38, 85] from Operation: 7+78=85
Current State: 47:[38, 85], Operations: ['93-55=38', '7+78=85']
Exploring Operation: 85-38=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
56,
86,
99,
13
] | 82 | [
"86-56=30",
"99+13=112",
"112-30=82"
] | Current State: 82:[56, 86, 99, 13], Operations: []
Exploring Operation: 86-56=30, Resulting Numbers: [99, 13, 30]
Generated Node #2: [99, 13, 30] from Operation: 86-56=30
Current State: 82:[99, 13, 30], Operations: ['86-56=30']
Exploring Operation: 99+13=112, Resulting Numbers: [30, 112]
Generated Node #3: [30, 112] from Operation: 99+13=112
Current State: 82:[30, 112], Operations: ['86-56=30', '99+13=112']
Exploring Operation: 112-30=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
2,
15,
50,
86
] | 87 | [
"86-50=36",
"2*36=72",
"15+72=87"
] | Current State: 87:[2, 15, 50, 86], Operations: []
Exploring Operation: 86-50=36, Resulting Numbers: [2, 15, 36]
Generated Node #2: [2, 15, 36] from Operation: 86-50=36
Current State: 87:[2, 15, 36], Operations: ['86-50=36']
Exploring Operation: 2*36=72, Resulting Numbers: [15, 72]
Generated Node #3: [15, 72] from Operation: 2*36=72
Current State: 87:[15, 72], Operations: ['86-50=36', '2*36=72']
Exploring Operation: 15+72=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
53,
50,
37,
48
] | 14 | [
"53-50=3",
"48-37=11",
"3+11=14"
] | Current State: 14:[53, 50, 37, 48], Operations: []
Exploring Operation: 53-50=3, Resulting Numbers: [37, 48, 3]
Generated Node #2: [37, 48, 3] from Operation: 53-50=3
Current State: 14:[37, 48, 3], Operations: ['53-50=3']
Exploring Operation: 48-37=11, Resulting Numbers: [3, 11]
Generated Node #3: [3, 11] from Operation: 48-37=11
Current State: 14:[3, 11], Operations: ['53-50=3', '48-37=11']
Exploring Operation: 3+11=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
49,
94,
39,
30
] | 36 | [
"94-49=45",
"39-30=9",
"45-9=36"
] | Current State: 36:[49, 94, 39, 30], Operations: []
Exploring Operation: 94-49=45, Resulting Numbers: [39, 30, 45]
Generated Node #2: [39, 30, 45] from Operation: 94-49=45
Current State: 36:[39, 30, 45], Operations: ['94-49=45']
Exploring Operation: 39-30=9, Resulting Numbers: [45, 9]
Generated Node #3: [45, 9] from Operation: 39-30=9
Current State: 36:[45, 9], Operations: ['94-49=45', '39-30=9']
Exploring Operation: 45-9=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
7,
1,
15,
5
] | 28 | [
"7+1=8",
"15+5=20",
"8+20=28"
] | Current State: 28:[7, 1, 15, 5], Operations: []
Exploring Operation: 7+1=8, Resulting Numbers: [15, 5, 8]
Generated Node #2: [15, 5, 8] from Operation: 7+1=8
Current State: 28:[15, 5, 8], Operations: ['7+1=8']
Exploring Operation: 15+5=20, Resulting Numbers: [8, 20]
Generated Node #3: [8, 20] from Operation: 15+5=20
Current State: 28:[8, 20], Operations: ['7+1=8', '15+5=20']
Exploring Operation: 8+20=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
42,
16,
57,
28
] | 22 | [
"57*28=1596",
"1596/42=38",
"38-16=22"
] | Current State: 22:[42, 16, 57, 28], Operations: []
Exploring Operation: 57*28=1596, Resulting Numbers: [42, 16, 1596]
Generated Node #2: [42, 16, 1596] from Operation: 57*28=1596
Current State: 22:[42, 16, 1596], Operations: ['57*28=1596']
Exploring Operation: 1596/42=38, Resulting Numbers: [16, 38]
Generated Node #3: [16, 38] from Operation: 1596/42=38
Current State: 22:[16, 38], Operations: ['57*28=1596', '1596/42=38']
Exploring Operation: 38-16=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
60,
24,
28,
77
] | 62 | [
"28-24=4",
"60/4=15",
"77-15=62"
] | Current State: 62:[60, 24, 28, 77], Operations: []
Exploring Operation: 28-24=4, Resulting Numbers: [60, 77, 4]
Generated Node #2: [60, 77, 4] from Operation: 28-24=4
Current State: 62:[60, 77, 4], Operations: ['28-24=4']
Exploring Operation: 60/4=15, Resulting Numbers: [77, 15]
Generated Node #3: [77, 15] from Operation: 60/4=15
Current State: 62:[77, 15], Operations: ['28-24=4', '60/4=15']
Exploring Operation: 77-15=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
92,
99,
53,
7
] | 97 | [
"53-7=46",
"92/46=2",
"99-2=97"
] | Current State: 97:[92, 99, 53, 7], Operations: []
Exploring Operation: 53-7=46, Resulting Numbers: [92, 99, 46]
Generated Node #2: [92, 99, 46] from Operation: 53-7=46
Current State: 97:[92, 99, 46], Operations: ['53-7=46']
Exploring Operation: 92/46=2, Resulting Numbers: [99, 2]
Generated Node #3: [99, 2] from Operation: 92/46=2
Current State: 97:[99, 2], Operations: ['53-7=46', '92/46=2']
Exploring Operation: 99-2=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
62,
31,
4,
38
] | 36 | [
"62/31=2",
"38-4=34",
"2+34=36"
] | Current State: 36:[62, 31, 4, 38], Operations: []
Exploring Operation: 62/31=2, Resulting Numbers: [4, 38, 2]
Generated Node #2: [4, 38, 2] from Operation: 62/31=2
Current State: 36:[4, 38, 2], Operations: ['62/31=2']
Exploring Operation: 38-4=34, Resulting Numbers: [2, 34]
Generated Node #3: [2, 34] from Operation: 38-4=34
Current State: 36:[2, 34], Operations: ['62/31=2', '38-4=34']
Exploring Operation: 2+34=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
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